id	sid	tid	token	lemma	pos
ejpam-5851	1	1	european	european	PROPN
ejpam-5851	1	2	journal	journal	PROPN
ejpam-5851	1	3	of	of	ADP
ejpam-5851	1	4	pure	pure	ADJ
ejpam-5851	1	5	and	and	CCONJ
ejpam-5851	1	6	applied	applied	ADJ
ejpam-5851	1	7	mathematics	mathematic	NOUN
ejpam-5851	1	8	2025	2025	NUM
ejpam-5851	1	9	,	,	PUNCT
ejpam-5851	1	10	vol	vol	NOUN
ejpam-5851	1	11	.	.	PROPN
ejpam-5851	1	12	18	18	NUM
ejpam-5851	1	13	,	,	PUNCT
ejpam-5851	1	14	issue	issue	NOUN
ejpam-5851	1	15	2	2	NUM
ejpam-5851	1	16	,	,	PUNCT
ejpam-5851	1	17	article	article	NOUN
ejpam-5851	1	18	number	number	NOUN
ejpam-5851	1	19	5851	5851	NUM
ejpam-5851	1	20	issn	issn	VERB
ejpam-5851	1	21	1307	1307	NUM
ejpam-5851	1	22	-	-	SYM
ejpam-5851	1	23	5543	5543	NUM
ejpam-5851	1	24	–	–	PUNCT
ejpam-5851	1	25	ejpam.com	ejpam.com	X
ejpam-5851	1	26	published	publish	VERB
ejpam-5851	1	27	by	by	ADP
ejpam-5851	1	28	new	new	PROPN
ejpam-5851	1	29	york	york	PROPN
ejpam-5851	1	30	business	business	PROPN
ejpam-5851	1	31	global	global	ADJ
ejpam-5851	1	32	harvesting	harvesting	NOUN
ejpam-5851	1	33	mixed	mixed	ADJ
ejpam-5851	1	34	,	,	PUNCT
ejpam-5851	1	35	homoclinic	homoclinic	ADJ
ejpam-5851	1	36	breather	breather	NOUN
ejpam-5851	1	37	,	,	PUNCT
ejpam-5851	1	38	m	m	NOUN
ejpam-5851	1	39	-	-	PUNCT
ejpam-5851	1	40	shaped	shape	VERB
ejpam-5851	1	41	and	and	CCONJ
ejpam-5851	1	42	other	other	ADJ
ejpam-5851	1	43	wave	wave	NOUN
ejpam-5851	1	44	profiles	profile	NOUN
ejpam-5851	1	45	of	of	ADP
ejpam-5851	1	46	the	the	DET
ejpam-5851	1	47	heisenberg	heisenberg	PROPN
ejpam-5851	1	48	ferromagnet	ferromagnet	NOUN
ejpam-5851	1	49	-	-	PUNCT
ejpam-5851	1	50	type	type	NOUN
ejpam-5851	1	51	akbota	akbota	ADJ
ejpam-5851	1	52	equation	equation	NOUN
ejpam-5851	1	53	baboucarr	baboucarr	PROPN
ejpam-5851	1	54	ceesay1,2	ceesay1,2	PROPN
ejpam-5851	1	55	,	,	PUNCT
ejpam-5851	1	56	muhammad	muhammad	PROPN
ejpam-5851	1	57	z.	z.	PROPN
ejpam-5851	1	58	baber3	baber3	PROPN
ejpam-5851	1	59	,	,	PUNCT
ejpam-5851	1	60	nauman	nauman	PROPN
ejpam-5851	1	61	ahmed1,4	ahmed1,4	PROPN
ejpam-5851	1	62	,	,	PUNCT
ejpam-5851	1	63	muhammad	muhammad	PROPN
ejpam-5851	1	64	jawaz1	jawaz1	PROPN
ejpam-5851	1	65	,	,	PUNCT
ejpam-5851	1	66	jorge	jorge	PROPN
ejpam-5851	1	67	e.	e.	PROPN
ejpam-5851	1	68	maćıas	maćıas	PROPN
ejpam-5851	1	69	-	-	PUNCT
ejpam-5851	1	70	dı́az5,6,∗	dı́az5,6,∗	PROPN
ejpam-5851	1	71	,	,	PUNCT
ejpam-5851	1	72	armando	armando	PROPN
ejpam-5851	1	73	gallegos7	gallegos7	PROPN
ejpam-5851	1	74	1	1	NUM
ejpam-5851	1	75	mathematics	mathematic	NOUN
ejpam-5851	1	76	and	and	CCONJ
ejpam-5851	1	77	statistics	statistics	PROPN
ejpam-5851	1	78	department	department	PROPN
ejpam-5851	1	79	,	,	PUNCT
ejpam-5851	1	80	the	the	DET
ejpam-5851	1	81	university	university	NOUN
ejpam-5851	1	82	of	of	ADP
ejpam-5851	1	83	lahore	lahore	PROPN
ejpam-5851	1	84	,	,	PUNCT
ejpam-5851	1	85	lahore	lahore	PROPN
ejpam-5851	1	86	,	,	PUNCT
ejpam-5851	1	87	pakistan	pakistan	PROPN
ejpam-5851	1	88	2	2	NUM
ejpam-5851	1	89	mathematics	mathematic	NOUN
ejpam-5851	1	90	unit	unit	NOUN
ejpam-5851	1	91	,	,	PUNCT
ejpam-5851	1	92	the	the	DET
ejpam-5851	1	93	university	university	NOUN
ejpam-5851	1	94	of	of	ADP
ejpam-5851	1	95	the	the	DET
ejpam-5851	1	96	gambia	gambia	PROPN
ejpam-5851	1	97	,	,	PUNCT
ejpam-5851	1	98	the	the	DET
ejpam-5851	1	99	gambia	gambia	PROPN
ejpam-5851	1	100	3	3	NUM
ejpam-5851	1	101	department	department	NOUN
ejpam-5851	1	102	of	of	ADP
ejpam-5851	1	103	mathematics	mathematic	NOUN
ejpam-5851	1	104	and	and	CCONJ
ejpam-5851	1	105	statistics	statistic	NOUN
ejpam-5851	1	106	,	,	PUNCT
ejpam-5851	1	107	the	the	DET
ejpam-5851	1	108	university	university	NOUN
ejpam-5851	1	109	of	of	ADP
ejpam-5851	1	110	lahore	lahore	PROPN
ejpam-5851	1	111	sargodha	sargodha	PROPN
ejpam-5851	1	112	campus	campus	PROPN
ejpam-5851	1	113	,	,	PUNCT
ejpam-5851	1	114	sargodha	sargodha	PROPN
ejpam-5851	1	115	,	,	PUNCT
ejpam-5851	1	116	pakistan	pakistan	PROPN
ejpam-5851	1	117	4	4	NUM
ejpam-5851	1	118	department	department	NOUN
ejpam-5851	1	119	of	of	ADP
ejpam-5851	1	120	computer	computer	NOUN
ejpam-5851	1	121	science	science	NOUN
ejpam-5851	1	122	and	and	CCONJ
ejpam-5851	1	123	mathematics	mathematic	NOUN
ejpam-5851	1	124	,	,	PUNCT
ejpam-5851	1	125	lebanese	lebanese	ADJ
ejpam-5851	1	126	american	american	PROPN
ejpam-5851	1	127	university	university	PROPN
ejpam-5851	1	128	,	,	PUNCT
ejpam-5851	1	129	beirut	beirut	PROPN
ejpam-5851	1	130	,	,	PUNCT
ejpam-5851	1	131	lebanon	lebanon	PROPN
ejpam-5851	1	132	5	5	NUM
ejpam-5851	1	133	department	department	NOUN
ejpam-5851	1	134	of	of	ADP
ejpam-5851	1	135	mathematics	mathematic	NOUN
ejpam-5851	1	136	and	and	CCONJ
ejpam-5851	1	137	didactics	didactics	NOUN
ejpam-5851	1	138	of	of	ADP
ejpam-5851	1	139	mathematics	mathematic	NOUN
ejpam-5851	1	140	,	,	PUNCT
ejpam-5851	1	141	tallinn	tallinn	PROPN
ejpam-5851	1	142	university	university	PROPN
ejpam-5851	1	143	,	,	PUNCT
ejpam-5851	1	144	narva	narva	PROPN
ejpam-5851	1	145	rd	rd	PROPN
ejpam-5851	1	146	.	.	PROPN
ejpam-5851	1	147	25	25	NUM
ejpam-5851	1	148	,	,	PUNCT
ejpam-5851	1	149	10120	10120	NUM
ejpam-5851	1	150	tallinn	tallinn	PROPN
ejpam-5851	1	151	,	,	PUNCT
ejpam-5851	1	152	estonia	estonia	PROPN
ejpam-5851	1	153	6	6	NUM
ejpam-5851	1	154	departamento	departamento	NOUN
ejpam-5851	1	155	de	de	PROPN
ejpam-5851	1	156	matemáticas	matemáticas	PROPN
ejpam-5851	1	157	y	y	PROPN
ejpam-5851	1	158	f́ısica	f́ısica	PROPN
ejpam-5851	1	159	,	,	PUNCT
ejpam-5851	1	160	universidad	universidad	PROPN
ejpam-5851	1	161	autónoma	autónoma	PROPN
ejpam-5851	1	162	de	de	X
ejpam-5851	1	163	aguascalientes	aguascaliente	NOUN
ejpam-5851	1	164	,	,	PUNCT
ejpam-5851	1	165	aguascalientes	aguascaliente	NOUN
ejpam-5851	1	166	20131	20131	NUM
ejpam-5851	1	167	,	,	PUNCT
ejpam-5851	1	168	méxico	méxico	PROPN
ejpam-5851	1	169	7	7	NUM
ejpam-5851	1	170	departamento	departamento	PROPN
ejpam-5851	1	171	de	de	PROPN
ejpam-5851	1	172	ciencias	ciencias	PROPN
ejpam-5851	1	173	exactas	exactas	PROPN
ejpam-5851	1	174	y	y	PROPN
ejpam-5851	1	175	tecnoloǵıa	tecnoloǵıa	PROPN
ejpam-5851	1	176	,	,	PUNCT
ejpam-5851	1	177	centro	centro	PROPN
ejpam-5851	1	178	universitario	universitario	PROPN
ejpam-5851	1	179	de	de	PROPN
ejpam-5851	1	180	los	los	PROPN
ejpam-5851	1	181	lagos	lagos	PROPN
ejpam-5851	1	182	,	,	PUNCT
ejpam-5851	1	183	universidad	universidad	PROPN
ejpam-5851	1	184	de	de	PROPN
ejpam-5851	1	185	guadalajara	guadalajara	PROPN
ejpam-5851	1	186	,	,	PUNCT
ejpam-5851	1	187	jalisco	jalisco	PROPN
ejpam-5851	1	188	,	,	PUNCT
ejpam-5851	1	189	mexico	mexico	PROPN
ejpam-5851	1	190	abstract	abstract	NOUN
ejpam-5851	1	191	.	.	PUNCT
ejpam-5851	2	1	we	we	PRON
ejpam-5851	2	2	use	use	VERB
ejpam-5851	2	3	the	the	DET
ejpam-5851	2	4	hirota	hirota	PROPN
ejpam-5851	2	5	bilinear	bilinear	NOUN
ejpam-5851	2	6	technique	technique	NOUN
ejpam-5851	2	7	to	to	PART
ejpam-5851	2	8	investigate	investigate	VERB
ejpam-5851	2	9	wave	wave	NOUN
ejpam-5851	2	10	solutions	solution	NOUN
ejpam-5851	2	11	to	to	ADP
ejpam-5851	2	12	the	the	DET
ejpam-5851	2	13	heisenberg	heisenberg	PROPN
ejpam-5851	2	14	ferromagnetictype	ferromagnetictype	PROPN
ejpam-5851	2	15	akbota	akbota	PROPN
ejpam-5851	2	16	problem	problem	NOUN
ejpam-5851	2	17	arising	arise	VERB
ejpam-5851	2	18	in	in	ADP
ejpam-5851	2	19	surface	surface	NOUN
ejpam-5851	2	20	geometry	geometry	NOUN
ejpam-5851	2	21	.	.	PUNCT
ejpam-5851	3	1	the	the	DET
ejpam-5851	3	2	equation	equation	NOUN
ejpam-5851	3	3	is	be	AUX
ejpam-5851	3	4	a	a	DET
ejpam-5851	3	5	crucial	crucial	ADJ
ejpam-5851	3	6	paradigm	paradigm	NOUN
ejpam-5851	3	7	for	for	ADP
ejpam-5851	3	8	examining	examine	VERB
ejpam-5851	3	9	and	and	CCONJ
ejpam-5851	3	10	visualizing	visualize	VERB
ejpam-5851	3	11	surface	surface	NOUN
ejpam-5851	3	12	geometry	geometry	NOUN
ejpam-5851	3	13	and	and	CCONJ
ejpam-5851	3	14	curve	curve	NOUN
ejpam-5851	3	15	analysis	analysis	NOUN
ejpam-5851	3	16	.	.	PUNCT
ejpam-5851	4	1	the	the	DET
ejpam-5851	4	2	equation	equation	NOUN
ejpam-5851	4	3	is	be	AUX
ejpam-5851	4	4	an	an	DET
ejpam-5851	4	5	integrable	integrable	ADJ
ejpam-5851	4	6	coupled	couple	VERB
ejpam-5851	4	7	model	model	NOUN
ejpam-5851	4	8	with	with	ADP
ejpam-5851	4	9	soliton	soliton	NOUN
ejpam-5851	4	10	solutions	solution	NOUN
ejpam-5851	4	11	.	.	PUNCT
ejpam-5851	5	1	it	it	PRON
ejpam-5851	5	2	is	be	AUX
ejpam-5851	5	3	a	a	DET
ejpam-5851	5	4	key	key	ADJ
ejpam-5851	5	5	instrument	instrument	NOUN
ejpam-5851	5	6	for	for	ADP
ejpam-5851	5	7	investigating	investigate	VERB
ejpam-5851	5	8	nonlinear	nonlinear	ADJ
ejpam-5851	5	9	phenomena	phenomenon	NOUN
ejpam-5851	5	10	in	in	ADP
ejpam-5851	5	11	differential	differential	ADJ
ejpam-5851	5	12	geometry	geometry	NOUN
ejpam-5851	5	13	of	of	ADP
ejpam-5851	5	14	curves	curve	NOUN
ejpam-5851	5	15	and	and	CCONJ
ejpam-5851	5	16	surfaces	surface	NOUN
ejpam-5851	5	17	,	,	PUNCT
ejpam-5851	5	18	magnetism	magnetism	NOUN
ejpam-5851	5	19	,	,	PUNCT
ejpam-5851	5	20	and	and	CCONJ
ejpam-5851	5	21	optics	optic	NOUN
ejpam-5851	5	22	.	.	PUNCT
ejpam-5851	6	1	the	the	DET
ejpam-5851	6	2	solutions	solution	NOUN
ejpam-5851	6	3	we	we	PRON
ejpam-5851	6	4	explore	explore	VERB
ejpam-5851	6	5	are	be	AUX
ejpam-5851	6	6	periodic	periodic	ADJ
ejpam-5851	6	7	lump	lump	NOUN
ejpam-5851	6	8	waves	wave	NOUN
ejpam-5851	6	9	,	,	PUNCT
ejpam-5851	6	10	periodic	periodic	ADJ
ejpam-5851	6	11	cross	cross	ADJ
ejpam-5851	6	12	-	-	ADJ
ejpam-5851	6	13	kink	kink	ADJ
ejpam-5851	6	14	waves	wave	NOUN
ejpam-5851	6	15	,	,	PUNCT
ejpam-5851	6	16	homoclinic	homoclinic	ADJ
ejpam-5851	6	17	breather	breather	NOUN
ejpam-5851	6	18	waves	wave	NOUN
ejpam-5851	6	19	,	,	PUNCT
ejpam-5851	6	20	m	m	NOUN
ejpam-5851	6	21	-	-	PUNCT
ejpam-5851	6	22	shaped	shape	VERB
ejpam-5851	6	23	waves	wave	NOUN
ejpam-5851	6	24	interacting	interact	VERB
ejpam-5851	6	25	with	with	ADP
ejpam-5851	6	26	kink	kink	NOUN
ejpam-5851	6	27	and	and	CCONJ
ejpam-5851	6	28	rogue	rogue	ADJ
ejpam-5851	6	29	waves	wave	NOUN
ejpam-5851	6	30	,	,	PUNCT
ejpam-5851	6	31	and	and	CCONJ
ejpam-5851	6	32	mixed	mixed	ADJ
ejpam-5851	6	33	waves	wave	NOUN
ejpam-5851	6	34	.	.	PUNCT
ejpam-5851	7	1	we	we	PRON
ejpam-5851	7	2	derive	derive	VERB
ejpam-5851	7	3	exact	exact	ADJ
ejpam-5851	7	4	solutions	solution	NOUN
ejpam-5851	7	5	and	and	CCONJ
ejpam-5851	7	6	carefully	carefully	ADV
ejpam-5851	7	7	choose	choose	VERB
ejpam-5851	7	8	parameter	parameter	NOUN
ejpam-5851	7	9	values	value	NOUN
ejpam-5851	7	10	to	to	PART
ejpam-5851	7	11	generate	generate	VERB
ejpam-5851	7	12	a	a	DET
ejpam-5851	7	13	variety	variety	NOUN
ejpam-5851	7	14	of	of	ADP
ejpam-5851	7	15	three	three	NUM
ejpam-5851	7	16	-	-	PUNCT
ejpam-5851	7	17	dimensional	dimensional	ADJ
ejpam-5851	7	18	graphs	graph	NOUN
ejpam-5851	7	19	and	and	CCONJ
ejpam-5851	7	20	the	the	DET
ejpam-5851	7	21	associated	associated	ADJ
ejpam-5851	7	22	contour	contour	NOUN
ejpam-5851	7	23	and	and	CCONJ
ejpam-5851	7	24	density	density	NOUN
ejpam-5851	7	25	plots	plot	NOUN
ejpam-5851	7	26	.	.	PUNCT
ejpam-5851	8	1	the	the	DET
ejpam-5851	8	2	soliton	soliton	NOUN
ejpam-5851	8	3	phenomenon	phenomenon	NOUN
ejpam-5851	8	4	is	be	AUX
ejpam-5851	8	5	explained	explain	VERB
ejpam-5851	8	6	by	by	ADP
ejpam-5851	8	7	the	the	DET
ejpam-5851	8	8	physical	physical	ADJ
ejpam-5851	8	9	structures	structure	NOUN
ejpam-5851	8	10	and	and	CCONJ
ejpam-5851	8	11	solutions	solution	NOUN
ejpam-5851	8	12	discovered	discover	VERB
ejpam-5851	8	13	,	,	PUNCT
ejpam-5851	8	14	which	which	PRON
ejpam-5851	8	15	also	also	ADV
ejpam-5851	8	16	replicate	replicate	VERB
ejpam-5851	8	17	the	the	DET
ejpam-5851	8	18	dynamic	dynamic	ADJ
ejpam-5851	8	19	characteristics	characteristic	NOUN
ejpam-5851	8	20	of	of	ADP
ejpam-5851	8	21	the	the	DET
ejpam-5851	8	22	traveling	travel	VERB
ejpam-5851	8	23	-	-	PUNCT
ejpam-5851	8	24	wave	wave	NOUN
ejpam-5851	8	25	deformation	deformation	NOUN
ejpam-5851	8	26	front	front	NOUN
ejpam-5851	8	27	that	that	PRON
ejpam-5851	8	28	is	be	AUX
ejpam-5851	8	29	created	create	VERB
ejpam-5851	8	30	in	in	ADP
ejpam-5851	8	31	the	the	DET
ejpam-5851	8	32	dispersive	dispersive	ADJ
ejpam-5851	8	33	medium	medium	NOUN
ejpam-5851	8	34	.	.	PUNCT
ejpam-5851	9	1	it	it	PRON
ejpam-5851	9	2	demonstrates	demonstrate	VERB
ejpam-5851	9	3	the	the	DET
ejpam-5851	9	4	power	power	NOUN
ejpam-5851	9	5	,	,	PUNCT
ejpam-5851	9	6	suitability	suitability	NOUN
ejpam-5851	9	7	,	,	PUNCT
ejpam-5851	9	8	and	and	CCONJ
ejpam-5851	9	9	potential	potential	ADJ
ejpam-5851	9	10	applications	application	NOUN
ejpam-5851	9	11	of	of	ADP
ejpam-5851	9	12	the	the	DET
ejpam-5851	9	13	hirota	hirota	PROPN
ejpam-5851	9	14	bilinear	bilinear	NOUN
ejpam-5851	9	15	technique	technique	NOUN
ejpam-5851	9	16	in	in	ADP
ejpam-5851	9	17	future	future	ADJ
ejpam-5851	9	18	research	research	NOUN
ejpam-5851	9	19	to	to	PART
ejpam-5851	9	20	identify	identify	VERB
ejpam-5851	9	21	unique	unique	ADJ
ejpam-5851	9	22	solutions	solution	NOUN
ejpam-5851	9	23	for	for	ADP
ejpam-5851	9	24	a	a	DET
ejpam-5851	9	25	wide	wide	ADJ
ejpam-5851	9	26	range	range	NOUN
ejpam-5851	9	27	of	of	ADP
ejpam-5851	9	28	nonlinear	nonlinear	ADJ
ejpam-5851	9	29	model	model	NOUN
ejpam-5851	9	30	types	type	NOUN
ejpam-5851	9	31	found	find	VERB
ejpam-5851	9	32	in	in	ADP
ejpam-5851	9	33	engineering	engineering	NOUN
ejpam-5851	9	34	and	and	CCONJ
ejpam-5851	9	35	physical	physical	ADJ
ejpam-5851	9	36	science	science	NOUN
ejpam-5851	9	37	.	.	PUNCT
ejpam-5851	10	1	these	these	DET
ejpam-5851	10	2	solutions	solution	NOUN
ejpam-5851	10	3	are	be	AUX
ejpam-5851	10	4	relevant	relevant	ADJ
ejpam-5851	10	5	in	in	ADP
ejpam-5851	10	6	nonlinear	nonlinear	ADJ
ejpam-5851	10	7	fiber	fiber	NOUN
ejpam-5851	10	8	optics	optic	NOUN
ejpam-5851	10	9	,	,	PUNCT
ejpam-5851	10	10	magnetism	magnetism	NOUN
ejpam-5851	10	11	and	and	CCONJ
ejpam-5851	10	12	differential	differential	ADJ
ejpam-5851	10	13	geometry	geometry	NOUN
ejpam-5851	10	14	.	.	PUNCT
ejpam-5851	11	1	2020	2020	NUM
ejpam-5851	11	2	mathematics	mathematic	NOUN
ejpam-5851	11	3	subject	subject	NOUN
ejpam-5851	11	4	classifications	classification	NOUN
ejpam-5851	11	5	:	:	PUNCT
ejpam-5851	11	6	35c05	35c05	NUM
ejpam-5851	11	7	key	key	ADJ
ejpam-5851	11	8	words	word	NOUN
ejpam-5851	11	9	and	and	CCONJ
ejpam-5851	11	10	phrases	phrase	NOUN
ejpam-5851	11	11	:	:	PUNCT
ejpam-5851	11	12	heisenberg	heisenberg	PROPN
ejpam-5851	11	13	ferromagnet	ferromagnet	NOUN
ejpam-5851	11	14	-	-	PUNCT
ejpam-5851	11	15	type	type	NOUN
ejpam-5851	11	16	akbota	akbota	ADJ
ejpam-5851	11	17	equation	equation	NOUN
ejpam-5851	11	18	,	,	PUNCT
ejpam-5851	11	19	hirota	hirota	PROPN
ejpam-5851	11	20	bilinear	bilinear	NOUN
ejpam-5851	11	21	transformation	transformation	NOUN
ejpam-5851	11	22	,	,	PUNCT
ejpam-5851	11	23	periodic	periodic	ADJ
ejpam-5851	11	24	cross	cross	NOUN
ejpam-5851	11	25	kink	kink	PROPN
ejpam-5851	11	26	solution	solution	NOUN
ejpam-5851	11	27	,	,	PUNCT
ejpam-5851	11	28	lump	lump	NOUN
ejpam-5851	11	29	solution	solution	NOUN
ejpam-5851	11	30	,	,	PUNCT
ejpam-5851	11	31	homoclinic	homoclinic	PROPN
ejpam-5851	11	32	m	m	NOUN
ejpam-5851	11	33	-	-	PUNCT
ejpam-5851	11	34	shaped	shape	VERB
ejpam-5851	11	35	breather	breather	NOUN
ejpam-5851	11	36	1	1	NUM
ejpam-5851	11	37	.	.	PUNCT
ejpam-5851	11	38	introduction	introduction	NOUN
ejpam-5851	11	39	in	in	ADP
ejpam-5851	11	40	recent	recent	ADJ
ejpam-5851	11	41	years	year	NOUN
ejpam-5851	11	42	,	,	PUNCT
ejpam-5851	11	43	there	there	PRON
ejpam-5851	11	44	has	have	AUX
ejpam-5851	11	45	been	be	AUX
ejpam-5851	11	46	a	a	DET
ejpam-5851	11	47	significant	significant	ADJ
ejpam-5851	11	48	focus	focus	NOUN
ejpam-5851	11	49	on	on	ADP
ejpam-5851	11	50	nonlinear	nonlinear	ADJ
ejpam-5851	11	51	partial	partial	ADJ
ejpam-5851	11	52	differential	differential	NOUN
ejpam-5851	11	53	equations	equation	NOUN
ejpam-5851	11	54	(	(	PUNCT
ejpam-5851	11	55	nlpdes	nlpde	NOUN
ejpam-5851	11	56	)	)	PUNCT
ejpam-5851	11	57	and	and	CCONJ
ejpam-5851	11	58	their	their	PRON
ejpam-5851	11	59	applications	application	NOUN
ejpam-5851	11	60	in	in	ADP
ejpam-5851	11	61	several	several	ADJ
ejpam-5851	11	62	fields	field	NOUN
ejpam-5851	11	63	,	,	PUNCT
ejpam-5851	11	64	including	include	VERB
ejpam-5851	11	65	acoustic	acoustic	ADJ
ejpam-5851	11	66	waves	wave	NOUN
ejpam-5851	11	67	,	,	PUNCT
ejpam-5851	11	68	nonlinear	nonlinear	ADJ
ejpam-5851	11	69	dynamics	dynamic	NOUN
ejpam-5851	11	70	,	,	PUNCT
ejpam-5851	11	71	condensed	condense	VERB
ejpam-5851	11	72	matter	matter	NOUN
ejpam-5851	11	73	physics	physics	NOUN
ejpam-5851	11	74	,	,	PUNCT
ejpam-5851	11	75	optical	optical	ADJ
ejpam-5851	11	76	fibers	fiber	NOUN
ejpam-5851	11	77	,	,	PUNCT
ejpam-5851	11	78	chemical	chemical	NOUN
ejpam-5851	11	79	reactions	reaction	NOUN
ejpam-5851	11	80	,	,	PUNCT
ejpam-5851	11	81	plasma	plasma	NOUN
ejpam-5851	11	82	dynamics	dynamic	NOUN
ejpam-5851	11	83	,	,	PUNCT
ejpam-5851	11	84	plasma	plasma	NOUN
ejpam-5851	11	85	physics	physics	NOUN
ejpam-5851	11	86	,	,	PUNCT
ejpam-5851	11	87	∗corresponding	∗corresponde	VERB
ejpam-5851	11	88	author	author	NOUN
ejpam-5851	11	89	.	.	PUNCT
ejpam-5851	12	1	doi	doi	NOUN
ejpam-5851	12	2	:	:	PUNCT
ejpam-5851	12	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5851	https://doi.org/10.29020/nybg.ejpam.v18i2.5851	NOUN
ejpam-5851	12	4	email	email	NOUN
ejpam-5851	12	5	addresses	address	NOUN
ejpam-5851	12	6	:	:	PUNCT
ejpam-5851	12	7	bceesay@utg.edu.gm	bceesay@utg.edu.gm	PROPN
ejpam-5851	12	8	(	(	PUNCT
ejpam-5851	12	9	b.	b.	PROPN
ejpam-5851	12	10	ceesay	ceesay	PROPN
ejpam-5851	12	11	)	)	PUNCT
ejpam-5851	12	12	,	,	PUNCT
ejpam-5851	12	13	zafarullah8883@gmail.com	zafarullah8883@gmail.com	X
ejpam-5851	12	14	(	(	PUNCT
ejpam-5851	12	15	m.	m.	NOUN
ejpam-5851	12	16	z.	z.	PROPN
ejpam-5851	12	17	baber	baber	PROPN
ejpam-5851	12	18	)	)	PUNCT
ejpam-5851	12	19	,	,	PUNCT
ejpam-5851	12	20	nauman.ahmed@math.uol.edu.pk	nauman.ahmed@math.uol.edu.pk	PROPN
ejpam-5851	12	21	(	(	PUNCT
ejpam-5851	12	22	n.	n.	PROPN
ejpam-5851	12	23	ahmed	ahmed	PROPN
ejpam-5851	12	24	)	)	PUNCT
ejpam-5851	12	25	,	,	PUNCT
ejpam-5851	12	26	muhammad.jawaz@math.uol.edu.pk	muhammad.jawaz@math.uol.edu.pk	PROPN
ejpam-5851	12	27	(	(	PUNCT
ejpam-5851	12	28	m.	m.	NOUN
ejpam-5851	12	29	jawaz	jawaz	PROPN
ejpam-5851	12	30	)	)	PUNCT
ejpam-5851	12	31	,	,	PUNCT
ejpam-5851	12	32	jorge.maciasdiaz@edu.uaa.mx	jorge.maciasdiaz@edu.uaa.mx	PROPN
ejpam-5851	12	33	(	(	PUNCT
ejpam-5851	12	34	j.	j.	PROPN
ejpam-5851	12	35	e.	e.	PROPN
ejpam-5851	12	36	maćıas	maćıas	PROPN
ejpam-5851	12	37	-	-	PUNCT
ejpam-5851	12	38	dı́az	dı́az	NOUN
ejpam-5851	12	39	)	)	PUNCT
ejpam-5851	12	40	,	,	PUNCT
ejpam-5851	12	41	gallegos@culagos.udg.mx	gallegos@culagos.udg.mx	NOUN
ejpam-5851	12	42	(	(	PUNCT
ejpam-5851	12	43	a.	a.	NOUN
ejpam-5851	12	44	gallegos	gallegos	PROPN
ejpam-5851	12	45	)	)	PUNCT
ejpam-5851	12	46	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5851	12	47	1	1	NUM
ejpam-5851	12	48	copyright	copyright	NOUN
ejpam-5851	12	49	:	:	PUNCT
ejpam-5851	13	1	©	©	PROPN
ejpam-5851	13	2	2025	2025	NUM
ejpam-5851	13	3	the	the	DET
ejpam-5851	13	4	author(s	author(s	NOUN
ejpam-5851	13	5	)	)	PUNCT
ejpam-5851	13	6	.	.	PUNCT
ejpam-5851	14	1	(	(	PUNCT
ejpam-5851	14	2	cc	cc	NOUN
ejpam-5851	14	3	by	by	ADP
ejpam-5851	14	4	-	-	PUNCT
ejpam-5851	14	5	nc	nc	PROPN
ejpam-5851	14	6	4.0	4.0	NUM
ejpam-5851	14	7	)	)	PUNCT
ejpam-5851	14	8	b.	b.	PROPN
ejpam-5851	15	1	ceesay	ceesay	PROPN
ejpam-5851	15	2	et	et	PROPN
ejpam-5851	15	3	al	al	PROPN
ejpam-5851	15	4	.	.	PUNCT
ejpam-5851	15	5	/	/	SYM
ejpam-5851	15	6	eur	eur	PROPN
ejpam-5851	15	7	.	.	PUNCT
ejpam-5851	16	1	j.	j.	PROPN
ejpam-5851	16	2	pure	pure	PROPN
ejpam-5851	16	3	appl	appl	PROPN
ejpam-5851	16	4	.	.	PROPN
ejpam-5851	16	5	math	math	PROPN
ejpam-5851	16	6	,	,	PUNCT
ejpam-5851	16	7	18	18	NUM
ejpam-5851	16	8	(	(	PUNCT
ejpam-5851	16	9	2	2	NUM
ejpam-5851	16	10	)	)	PUNCT
ejpam-5851	16	11	(	(	PUNCT
ejpam-5851	16	12	2025	2025	NUM
ejpam-5851	16	13	)	)	PUNCT
ejpam-5851	16	14	,	,	PUNCT
ejpam-5851	16	15	5851	5851	NUM
ejpam-5851	16	16	2	2	NUM
ejpam-5851	16	17	of	of	ADP
ejpam-5851	16	18	32	32	NUM
ejpam-5851	16	19	biological	biological	ADJ
ejpam-5851	16	20	membrane	membrane	NOUN
ejpam-5851	16	21	,	,	PUNCT
ejpam-5851	16	22	electromagnetic	electromagnetic	ADJ
ejpam-5851	16	23	waves	wave	NOUN
ejpam-5851	16	24	,	,	PUNCT
ejpam-5851	16	25	etc	etc	X
ejpam-5851	16	26	.	.	X
ejpam-5851	17	1	this	this	PRON
ejpam-5851	17	2	has	have	AUX
ejpam-5851	17	3	been	be	AUX
ejpam-5851	17	4	the	the	DET
ejpam-5851	17	5	subject	subject	NOUN
ejpam-5851	17	6	of	of	ADP
ejpam-5851	17	7	both	both	CCONJ
ejpam-5851	17	8	theoretical	theoretical	ADJ
ejpam-5851	17	9	and	and	CCONJ
ejpam-5851	17	10	experimental	experimental	ADJ
ejpam-5851	17	11	investigations	investigation	NOUN
ejpam-5851	17	12	.	.	PUNCT
ejpam-5851	18	1	a	a	DET
ejpam-5851	18	2	lot	lot	NOUN
ejpam-5851	18	3	of	of	ADP
ejpam-5851	18	4	work	work	NOUN
ejpam-5851	18	5	has	have	AUX
ejpam-5851	18	6	been	be	AUX
ejpam-5851	18	7	done	do	VERB
ejpam-5851	18	8	on	on	ADP
ejpam-5851	18	9	nonlinear	nonlinear	ADJ
ejpam-5851	18	10	equations	equation	NOUN
ejpam-5851	18	11	involving	involve	VERB
ejpam-5851	18	12	these	these	DET
ejpam-5851	18	13	fields	field	NOUN
ejpam-5851	18	14	lately	lately	ADV
ejpam-5851	18	15	in	in	ADP
ejpam-5851	18	16	an	an	DET
ejpam-5851	18	17	effort	effort	NOUN
ejpam-5851	18	18	to	to	PART
ejpam-5851	18	19	better	well	ADV
ejpam-5851	18	20	understand	understand	VERB
ejpam-5851	18	21	their	their	PRON
ejpam-5851	18	22	qualitative	qualitative	ADJ
ejpam-5851	18	23	and	and	CCONJ
ejpam-5851	18	24	quantitative	quantitative	ADJ
ejpam-5851	18	25	characteristics	characteristic	NOUN
ejpam-5851	18	26	.	.	PUNCT
ejpam-5851	19	1	the	the	DET
ejpam-5851	19	2	ideal	ideal	PROPN
ejpam-5851	19	3	balancing	balancing	NOUN
ejpam-5851	19	4	act	act	NOUN
ejpam-5851	19	5	between	between	ADP
ejpam-5851	19	6	dispersion	dispersion	NOUN
ejpam-5851	19	7	effects	effect	NOUN
ejpam-5851	19	8	and	and	CCONJ
ejpam-5851	19	9	nonlinearity	nonlinearity	NOUN
ejpam-5851	19	10	that	that	PRON
ejpam-5851	19	11	produces	produce	VERB
ejpam-5851	19	12	a	a	DET
ejpam-5851	19	13	soliton	soliton	NOUN
ejpam-5851	19	14	pulse	pulse	NOUN
ejpam-5851	19	15	is	be	AUX
ejpam-5851	19	16	a	a	DET
ejpam-5851	19	17	key	key	ADJ
ejpam-5851	19	18	characteristic	characteristic	NOUN
ejpam-5851	19	19	of	of	ADP
ejpam-5851	19	20	most	most	ADJ
ejpam-5851	19	21	nonlinear	nonlinear	ADJ
ejpam-5851	19	22	equations	equation	NOUN
ejpam-5851	19	23	.	.	PUNCT
ejpam-5851	20	1	owing	owe	VERB
ejpam-5851	20	2	to	to	ADP
ejpam-5851	20	3	its	its	PRON
ejpam-5851	20	4	wealth	wealth	NOUN
ejpam-5851	20	5	of	of	ADP
ejpam-5851	20	6	physical	physical	ADJ
ejpam-5851	20	7	structures	structure	NOUN
ejpam-5851	20	8	and	and	CCONJ
ejpam-5851	20	9	scientific	scientific	ADJ
ejpam-5851	20	10	features	feature	NOUN
ejpam-5851	20	11	,	,	PUNCT
ejpam-5851	20	12	the	the	DET
ejpam-5851	20	13	study	study	NOUN
ejpam-5851	20	14	of	of	ADP
ejpam-5851	20	15	integrable	integrable	ADJ
ejpam-5851	20	16	qualities	quality	NOUN
ejpam-5851	20	17	for	for	ADP
ejpam-5851	20	18	nonlinear	nonlinear	ADJ
ejpam-5851	20	19	evolution	evolution	NOUN
ejpam-5851	20	20	equations	equation	NOUN
ejpam-5851	20	21	has	have	AUX
ejpam-5851	20	22	become	become	VERB
ejpam-5851	20	23	a	a	DET
ejpam-5851	20	24	research	research	NOUN
ejpam-5851	20	25	hot	hot	ADJ
ejpam-5851	20	26	-	-	PUNCT
ejpam-5851	20	27	point	point	NOUN
ejpam-5851	20	28	.	.	PUNCT
ejpam-5851	21	1	deriving	derive	VERB
ejpam-5851	21	2	nonlinear	nonlinear	ADJ
ejpam-5851	21	3	integrable	integrable	ADJ
ejpam-5851	21	4	equations	equation	NOUN
ejpam-5851	21	5	that	that	PRON
ejpam-5851	21	6	explain	explain	VERB
ejpam-5851	21	7	different	different	ADJ
ejpam-5851	21	8	physical	physical	ADJ
ejpam-5851	21	9	events	event	NOUN
ejpam-5851	21	10	has	have	AUX
ejpam-5851	21	11	garnered	garner	VERB
ejpam-5851	21	12	a	a	DET
ejpam-5851	21	13	lot	lot	NOUN
ejpam-5851	21	14	of	of	ADP
ejpam-5851	21	15	interest	interest	NOUN
ejpam-5851	21	16	in	in	ADP
ejpam-5851	21	17	recent	recent	ADJ
ejpam-5851	21	18	decades	decade	NOUN
ejpam-5851	21	19	,	,	PUNCT
ejpam-5851	21	20	along	along	ADP
ejpam-5851	21	21	with	with	ADP
ejpam-5851	21	22	the	the	DET
ejpam-5851	21	23	integrability	integrability	NOUN
ejpam-5851	21	24	of	of	ADP
ejpam-5851	21	25	nonlinear	nonlinear	ADJ
ejpam-5851	21	26	equations	equation	NOUN
ejpam-5851	21	27	in	in	ADP
ejpam-5851	21	28	general	general	ADJ
ejpam-5851	21	29	.	.	PUNCT
ejpam-5851	22	1	in	in	ADP
ejpam-5851	22	2	the	the	DET
ejpam-5851	22	3	field	field	NOUN
ejpam-5851	22	4	of	of	ADP
ejpam-5851	22	5	nonlinear	nonlinear	ADJ
ejpam-5851	22	6	phenomena	phenomenon	NOUN
ejpam-5851	22	7	and	and	CCONJ
ejpam-5851	22	8	solitary	solitary	ADJ
ejpam-5851	22	9	waves	wave	NOUN
ejpam-5851	22	10	theory	theory	NOUN
ejpam-5851	22	11	,	,	PUNCT
ejpam-5851	22	12	discovering	discover	VERB
ejpam-5851	22	13	novel	novel	ADJ
ejpam-5851	22	14	integrable	integrable	ADJ
ejpam-5851	22	15	systems	system	NOUN
ejpam-5851	22	16	has	have	AUX
ejpam-5851	22	17	been	be	AUX
ejpam-5851	22	18	a	a	DET
ejpam-5851	22	19	primary	primary	ADJ
ejpam-5851	22	20	focus	focus	NOUN
ejpam-5851	22	21	.	.	PUNCT
ejpam-5851	23	1	thus	thus	ADV
ejpam-5851	23	2	,	,	PUNCT
ejpam-5851	23	3	from	from	ADP
ejpam-5851	23	4	a	a	DET
ejpam-5851	23	5	theoretical	theoretical	NOUN
ejpam-5851	23	6	as	as	ADV
ejpam-5851	23	7	well	well	ADV
ejpam-5851	23	8	as	as	ADP
ejpam-5851	23	9	an	an	DET
ejpam-5851	23	10	experimental	experimental	ADJ
ejpam-5851	23	11	perspective	perspective	NOUN
ejpam-5851	23	12	,	,	PUNCT
ejpam-5851	23	13	it	it	PRON
ejpam-5851	23	14	is	be	AUX
ejpam-5851	23	15	crucial	crucial	ADJ
ejpam-5851	23	16	to	to	PART
ejpam-5851	23	17	develop	develop	VERB
ejpam-5851	23	18	integrable	integrable	ADJ
ejpam-5851	23	19	nlpdes	nlpde	NOUN
ejpam-5851	23	20	that	that	PRON
ejpam-5851	23	21	include	include	VERB
ejpam-5851	23	22	higherorder	higherorder	NOUN
ejpam-5851	23	23	elements	element	NOUN
ejpam-5851	23	24	.	.	PUNCT
ejpam-5851	24	1	a	a	DET
ejpam-5851	24	2	significant	significant	ADJ
ejpam-5851	24	3	amount	amount	NOUN
ejpam-5851	24	4	of	of	ADP
ejpam-5851	24	5	effort	effort	NOUN
ejpam-5851	24	6	has	have	AUX
ejpam-5851	24	7	been	be	AUX
ejpam-5851	24	8	done	do	VERB
ejpam-5851	24	9	by	by	ADP
ejpam-5851	24	10	investigators	investigator	NOUN
ejpam-5851	24	11	in	in	ADP
ejpam-5851	24	12	[	[	X
ejpam-5851	24	13	1–8	1–8	X
ejpam-5851	24	14	]	]	X
ejpam-5851	24	15	to	to	PART
ejpam-5851	24	16	derive	derive	VERB
ejpam-5851	24	17	nonlinear	nonlinear	ADJ
ejpam-5851	24	18	integrable	integrable	ADJ
ejpam-5851	24	19	equations	equation	NOUN
ejpam-5851	24	20	in	in	ADP
ejpam-5851	24	21	(	(	PUNCT
ejpam-5851	24	22	n+	n+	NOUN
ejpam-5851	24	23	1	1	NUM
ejpam-5851	24	24	)	)	PUNCT
ejpam-5851	24	25	dimensions	dimension	NOUN
ejpam-5851	24	26	,	,	PUNCT
ejpam-5851	24	27	where	where	SCONJ
ejpam-5851	24	28	n	n	NOUN
ejpam-5851	24	29	=	=	SYM
ejpam-5851	24	30	1	1	NUM
ejpam-5851	24	31	,	,	PUNCT
ejpam-5851	24	32	2	2	NUM
ejpam-5851	24	33	,	,	PUNCT
ejpam-5851	24	34	and	and	CCONJ
ejpam-5851	24	35	3	3	X
ejpam-5851	24	36	.	.	X
ejpam-5851	25	1	in	in	ADP
ejpam-5851	25	2	the	the	DET
ejpam-5851	25	3	domains	domain	NOUN
ejpam-5851	25	4	of	of	ADP
ejpam-5851	25	5	science	science	NOUN
ejpam-5851	25	6	and	and	CCONJ
ejpam-5851	25	7	engineering	engineering	NOUN
ejpam-5851	25	8	,	,	PUNCT
ejpam-5851	25	9	integrable	integrable	ADJ
ejpam-5851	25	10	equations	equation	NOUN
ejpam-5851	25	11	which	which	PRON
ejpam-5851	25	12	have	have	VERB
ejpam-5851	25	13	a	a	DET
ejpam-5851	25	14	sizable	sizable	ADJ
ejpam-5851	25	15	number	number	NOUN
ejpam-5851	25	16	of	of	ADP
ejpam-5851	25	17	conservation	conservation	NOUN
ejpam-5851	25	18	laws	law	NOUN
ejpam-5851	25	19	,	,	PUNCT
ejpam-5851	25	20	lax	lax	ADJ
ejpam-5851	25	21	pairings	pairing	NOUN
ejpam-5851	25	22	,	,	PUNCT
ejpam-5851	25	23	bi	bi	ADJ
ejpam-5851	25	24	-	-	ADJ
ejpam-5851	25	25	hamiltonian	hamiltonian	ADJ
ejpam-5851	25	26	properties	property	NOUN
ejpam-5851	25	27	,	,	PUNCT
ejpam-5851	25	28	and	and	CCONJ
ejpam-5851	25	29	multiple	multiple	ADJ
ejpam-5851	25	30	soliton	soliton	NOUN
ejpam-5851	25	31	solutions	solution	NOUN
ejpam-5851	25	32	are	be	AUX
ejpam-5851	25	33	extensively	extensively	ADV
ejpam-5851	25	34	studied	study	VERB
ejpam-5851	25	35	[	[	PUNCT
ejpam-5851	25	36	9–13	9–13	NOUN
ejpam-5851	25	37	]	]	PUNCT
ejpam-5851	25	38	.	.	PUNCT
ejpam-5851	26	1	numerous	numerous	ADJ
ejpam-5851	26	2	research	research	NOUN
ejpam-5851	26	3	efforts	effort	NOUN
ejpam-5851	26	4	have	have	AUX
ejpam-5851	26	5	been	be	AUX
ejpam-5851	26	6	dedicated	dedicate	VERB
ejpam-5851	26	7	to	to	ADP
ejpam-5851	26	8	the	the	DET
ejpam-5851	26	9	derivation	derivation	NOUN
ejpam-5851	26	10	of	of	ADP
ejpam-5851	26	11	novel	novel	ADJ
ejpam-5851	26	12	integrable	integrable	ADJ
ejpam-5851	26	13	equations	equation	NOUN
ejpam-5851	26	14	,	,	PUNCT
ejpam-5851	26	15	utilizing	utilize	VERB
ejpam-5851	26	16	potent	potent	ADJ
ejpam-5851	26	17	techniques	technique	NOUN
ejpam-5851	26	18	like	like	ADP
ejpam-5851	26	19	recursion	recursion	NOUN
ejpam-5851	26	20	operators	operator	NOUN
ejpam-5851	26	21	and	and	CCONJ
ejpam-5851	26	22	the	the	DET
ejpam-5851	26	23	symmetries	symmetry	NOUN
ejpam-5851	26	24	approach	approach	VERB
ejpam-5851	26	25	to	to	PART
ejpam-5851	26	26	accomplish	accomplish	VERB
ejpam-5851	26	27	this	this	DET
ejpam-5851	26	28	objective	objective	NOUN
ejpam-5851	27	1	[	[	X
ejpam-5851	27	2	14–18	14–18	NUM
ejpam-5851	27	3	]	]	X
ejpam-5851	27	4	.	.	PUNCT
ejpam-5851	28	1	the	the	DET
ejpam-5851	28	2	integrability	integrability	NOUN
ejpam-5851	28	3	of	of	ADP
ejpam-5851	28	4	the	the	DET
ejpam-5851	28	5	recently	recently	ADV
ejpam-5851	28	6	derived	derive	VERB
ejpam-5851	28	7	equations	equation	NOUN
ejpam-5851	28	8	is	be	AUX
ejpam-5851	28	9	verified	verify	VERB
ejpam-5851	28	10	using	use	VERB
ejpam-5851	28	11	the	the	DET
ejpam-5851	28	12	painlevé	painlevé	NOUN
ejpam-5851	28	13	analysis	analysis	NOUN
ejpam-5851	28	14	[	[	X
ejpam-5851	28	15	19–21	19–21	NUM
ejpam-5851	28	16	]	]	PUNCT
ejpam-5851	28	17	.	.	PUNCT
ejpam-5851	29	1	the	the	DET
ejpam-5851	29	2	capacity	capacity	NOUN
ejpam-5851	29	3	of	of	ADP
ejpam-5851	29	4	nlpdes	nlpde	NOUN
ejpam-5851	29	5	to	to	PART
ejpam-5851	29	6	describe	describe	VERB
ejpam-5851	29	7	nonlinear	nonlinear	ADJ
ejpam-5851	29	8	processes	process	NOUN
ejpam-5851	29	9	in	in	ADP
ejpam-5851	29	10	the	the	DET
ejpam-5851	29	11	modern	modern	ADJ
ejpam-5851	29	12	world	world	NOUN
ejpam-5851	29	13	lies	lie	VERB
ejpam-5851	29	14	in	in	ADP
ejpam-5851	29	15	their	their	PRON
ejpam-5851	29	16	ability	ability	NOUN
ejpam-5851	29	17	to	to	PART
ejpam-5851	29	18	depict	depict	VERB
ejpam-5851	29	19	nonlinear	nonlinear	ADJ
ejpam-5851	29	20	events	event	NOUN
ejpam-5851	29	21	.	.	PUNCT
ejpam-5851	30	1	because	because	SCONJ
ejpam-5851	30	2	of	of	ADP
ejpam-5851	30	3	the	the	DET
ejpam-5851	30	4	advancements	advancement	NOUN
ejpam-5851	30	5	in	in	ADP
ejpam-5851	30	6	computer	computer	NOUN
ejpam-5851	30	7	technology	technology	NOUN
ejpam-5851	30	8	,	,	PUNCT
ejpam-5851	30	9	researchers	researcher	NOUN
ejpam-5851	30	10	have	have	AUX
ejpam-5851	30	11	successfully	successfully	ADV
ejpam-5851	30	12	solved	solve	VERB
ejpam-5851	30	13	a	a	DET
ejpam-5851	30	14	considerable	considerable	ADJ
ejpam-5851	30	15	number	number	NOUN
ejpam-5851	30	16	of	of	ADP
ejpam-5851	30	17	these	these	DET
ejpam-5851	30	18	equations	equation	NOUN
ejpam-5851	30	19	using	use	VERB
ejpam-5851	30	20	mathematical	mathematical	ADJ
ejpam-5851	30	21	and	and	CCONJ
ejpam-5851	30	22	computational	computational	ADJ
ejpam-5851	30	23	tools	tool	NOUN
ejpam-5851	30	24	.	.	PUNCT
ejpam-5851	31	1	among	among	ADP
ejpam-5851	31	2	those	those	DET
ejpam-5851	31	3	tools	tool	NOUN
ejpam-5851	31	4	,	,	PUNCT
ejpam-5851	31	5	the	the	DET
ejpam-5851	31	6	hirota	hirota	PROPN
ejpam-5851	31	7	bilinear	bilinear	NOUN
ejpam-5851	31	8	technique	technique	NOUN
ejpam-5851	31	9	is	be	AUX
ejpam-5851	31	10	a	a	DET
ejpam-5851	31	11	well	well	ADV
ejpam-5851	31	12	-	-	PUNCT
ejpam-5851	31	13	recognized	recognize	VERB
ejpam-5851	31	14	and	and	CCONJ
ejpam-5851	31	15	often	often	ADV
ejpam-5851	31	16	employed	employ	VERB
ejpam-5851	31	17	approach	approach	NOUN
ejpam-5851	31	18	to	to	ADP
ejpam-5851	31	19	solving	solve	VERB
ejpam-5851	31	20	nlpdes	nlpde	NOUN
ejpam-5851	31	21	that	that	PRON
ejpam-5851	31	22	have	have	AUX
ejpam-5851	31	23	emerged	emerge	VERB
ejpam-5851	31	24	in	in	ADP
ejpam-5851	31	25	the	the	DET
ejpam-5851	31	26	past	past	ADJ
ejpam-5851	31	27	decades	decade	NOUN
ejpam-5851	31	28	.	.	PUNCT
ejpam-5851	32	1	if	if	SCONJ
ejpam-5851	32	2	one	one	PRON
ejpam-5851	32	3	knows	know	VERB
ejpam-5851	32	4	the	the	DET
ejpam-5851	32	5	bilinear	bilinear	NOUN
ejpam-5851	32	6	form	form	NOUN
ejpam-5851	32	7	,	,	PUNCT
ejpam-5851	32	8	one	one	PRON
ejpam-5851	32	9	may	may	AUX
ejpam-5851	32	10	find	find	VERB
ejpam-5851	32	11	the	the	DET
ejpam-5851	32	12	soliton	soliton	NOUN
ejpam-5851	32	13	solutions	solution	NOUN
ejpam-5851	32	14	to	to	ADP
ejpam-5851	32	15	the	the	DET
ejpam-5851	32	16	equation	equation	NOUN
ejpam-5851	32	17	[	[	X
ejpam-5851	32	18	22	22	NUM
ejpam-5851	32	19	]	]	PUNCT
ejpam-5851	32	20	.	.	PUNCT
ejpam-5851	33	1	several	several	ADJ
ejpam-5851	33	2	other	other	ADJ
ejpam-5851	33	3	potent	potent	ADJ
ejpam-5851	33	4	techniques	technique	NOUN
ejpam-5851	33	5	such	such	ADJ
ejpam-5851	33	6	as	as	ADP
ejpam-5851	33	7	the	the	DET
ejpam-5851	33	8	fan	fan	NOUN
ejpam-5851	33	9	sub	sub	NOUN
ejpam-5851	33	10	-	-	NOUN
ejpam-5851	33	11	equation	equation	NOUN
ejpam-5851	33	12	and	and	CCONJ
ejpam-5851	33	13	its	its	PRON
ejpam-5851	33	14	modified	modified	ADJ
ejpam-5851	33	15	form	form	NOUN
ejpam-5851	33	16	[	[	X
ejpam-5851	33	17	23	23	NUM
ejpam-5851	33	18	,	,	PUNCT
ejpam-5851	33	19	24	24	NUM
ejpam-5851	33	20	]	]	PUNCT
ejpam-5851	33	21	,	,	PUNCT
ejpam-5851	33	22	the	the	DET
ejpam-5851	33	23	sardarsub	sardarsub	NOUN
ejpam-5851	33	24	equation	equation	NOUN
ejpam-5851	33	25	[	[	X
ejpam-5851	33	26	25	25	NUM
ejpam-5851	33	27	]	]	PUNCT
ejpam-5851	33	28	,	,	PUNCT
ejpam-5851	33	29	the	the	DET
ejpam-5851	33	30	extended	extended	ADJ
ejpam-5851	33	31	sinh	sinh	NOUN
ejpam-5851	33	32	-	-	PUNCT
ejpam-5851	33	33	gordon	gordon	PROPN
ejpam-5851	33	34	equation	equation	NOUN
ejpam-5851	33	35	expansion	expansion	NOUN
ejpam-5851	33	36	[	[	X
ejpam-5851	33	37	26	26	NUM
ejpam-5851	33	38	]	]	PUNCT
ejpam-5851	33	39	,	,	PUNCT
ejpam-5851	33	40	the	the	DET
ejpam-5851	33	41	g′	g′	NOUN
ejpam-5851	33	42	g2	g2	PROPN
ejpam-5851	33	43	-expansion	-expansion	PROPN
ejpam-5851	34	1	[	[	X
ejpam-5851	34	2	27	27	NUM
ejpam-5851	34	3	]	]	PUNCT
ejpam-5851	34	4	,	,	PUNCT
ejpam-5851	34	5	the	the	DET
ejpam-5851	34	6	darboux	darboux	ADJ
ejpam-5851	34	7	transformation	transformation	NOUN
ejpam-5851	34	8	[	[	X
ejpam-5851	34	9	28	28	NUM
ejpam-5851	34	10	]	]	PUNCT
ejpam-5851	34	11	,	,	PUNCT
ejpam-5851	34	12	the	the	DET
ejpam-5851	34	13	lie	lie	NOUN
ejpam-5851	34	14	group	group	NOUN
ejpam-5851	34	15	method	method	NOUN
ejpam-5851	34	16	[	[	X
ejpam-5851	34	17	29	29	NUM
ejpam-5851	34	18	]	]	PUNCT
ejpam-5851	34	19	,	,	PUNCT
ejpam-5851	34	20	inverse	inverse	NOUN
ejpam-5851	34	21	scattering	scattering	NOUN
ejpam-5851	34	22	transformations	transformation	NOUN
ejpam-5851	34	23	[	[	X
ejpam-5851	34	24	30	30	NUM
ejpam-5851	34	25	]	]	PUNCT
ejpam-5851	34	26	,	,	PUNCT
ejpam-5851	34	27	the	the	DET
ejpam-5851	34	28	generalized	generalized	ADJ
ejpam-5851	34	29	jacobi	jacobi	PROPN
ejpam-5851	34	30	elliptic	elliptic	ADJ
ejpam-5851	34	31	function	function	NOUN
ejpam-5851	34	32	method	method	NOUN
ejpam-5851	34	33	[	[	X
ejpam-5851	34	34	31	31	NUM
ejpam-5851	34	35	]	]	PUNCT
ejpam-5851	34	36	,	,	PUNCT
ejpam-5851	34	37	the	the	DET
ejpam-5851	34	38	improved	improved	ADJ
ejpam-5851	34	39	f	f	NOUN
ejpam-5851	34	40	-	-	PUNCT
ejpam-5851	34	41	expansion	expansion	NOUN
ejpam-5851	34	42	method	method	NOUN
ejpam-5851	34	43	[	[	X
ejpam-5851	34	44	32	32	NUM
ejpam-5851	34	45	]	]	PUNCT
ejpam-5851	34	46	,	,	PUNCT
ejpam-5851	34	47	the	the	DET
ejpam-5851	34	48	modified	modify	VERB
ejpam-5851	34	49	unified	unified	ADJ
ejpam-5851	34	50	auxiliary	auxiliary	ADJ
ejpam-5851	34	51	equation	equation	NOUN
ejpam-5851	34	52	[	[	X
ejpam-5851	34	53	33	33	NUM
ejpam-5851	34	54	]	]	PUNCT
ejpam-5851	34	55	,	,	PUNCT
ejpam-5851	34	56	and	and	CCONJ
ejpam-5851	34	57	many	many	ADJ
ejpam-5851	34	58	more	more	ADJ
ejpam-5851	34	59	have	have	AUX
ejpam-5851	34	60	been	be	AUX
ejpam-5851	34	61	developed	develop	VERB
ejpam-5851	34	62	for	for	ADP
ejpam-5851	34	63	solving	solve	VERB
ejpam-5851	34	64	nlpdes	nlpde	NOUN
ejpam-5851	34	65	.	.	PUNCT
ejpam-5851	35	1	the	the	DET
ejpam-5851	35	2	present	present	ADJ
ejpam-5851	35	3	work	work	NOUN
ejpam-5851	35	4	aims	aim	VERB
ejpam-5851	35	5	to	to	PART
ejpam-5851	35	6	examine	examine	VERB
ejpam-5851	35	7	the	the	DET
ejpam-5851	35	8	(	(	PUNCT
ejpam-5851	35	9	1	1	NUM
ejpam-5851	35	10	+	+	NUM
ejpam-5851	35	11	1)-dimensional	1)-dimensional	NUM
ejpam-5851	35	12	akbota	akbota	ADJ
ejpam-5851	35	13	equation	equation	NOUN
ejpam-5851	35	14	(	(	PUNCT
ejpam-5851	35	15	ae	ae	PROPN
ejpam-5851	35	16	)	)	PUNCT
ejpam-5851	35	17	(	(	PUNCT
ejpam-5851	35	18	see	see	VERB
ejpam-5851	35	19	[	[	X
ejpam-5851	35	20	34	34	NUM
ejpam-5851	35	21	]	]	PUNCT
ejpam-5851	35	22	)	)	PUNCT
ejpam-5851	35	23	given	give	VERB
ejpam-5851	35	24	by	by	ADP
ejpam-5851	35	25	{	{	PUNCT
ejpam-5851	35	26	igt	igt	PROPN
ejpam-5851	35	27	+	+	CCONJ
ejpam-5851	35	28	agxx	agxx	NOUN
ejpam-5851	35	29	+	+	CCONJ
ejpam-5851	35	30	bgxt	bgxt	NOUN
ejpam-5851	35	31	+	+	CCONJ
ejpam-5851	35	32	cgh	cgh	PROPN
ejpam-5851	35	33	=	=	SYM
ejpam-5851	35	34	0	0	PROPN
ejpam-5851	35	35	,	,	PUNCT
ejpam-5851	35	36	ht	ht	PROPN
ejpam-5851	35	37	−	−	PROPN
ejpam-5851	35	38	2ad|g|2x−2bd|g|2t=	2ad|g|2x−2bd|g|2t=	NOUN
ejpam-5851	35	39	0	0	NUM
ejpam-5851	35	40	,	,	PUNCT
ejpam-5851	35	41	(	(	PUNCT
ejpam-5851	35	42	1	1	X
ejpam-5851	35	43	)	)	PUNCT
ejpam-5851	35	44	where	where	SCONJ
ejpam-5851	35	45	g	g	NOUN
ejpam-5851	35	46	=	=	SYM
ejpam-5851	35	47	g(x	g(x	PROPN
ejpam-5851	35	48	,	,	PUNCT
ejpam-5851	35	49	t	t	PROPN
ejpam-5851	35	50	)	)	PUNCT
ejpam-5851	35	51	is	be	AUX
ejpam-5851	35	52	a	a	DET
ejpam-5851	35	53	complex	complex	ADJ
ejpam-5851	35	54	function	function	NOUN
ejpam-5851	35	55	,	,	PUNCT
ejpam-5851	35	56	h	h	NOUN
ejpam-5851	35	57	=	=	SYM
ejpam-5851	35	58	h(x	h(x	PROPN
ejpam-5851	35	59	,	,	PUNCT
ejpam-5851	35	60	t	t	PROPN
ejpam-5851	35	61	)	)	PUNCT
ejpam-5851	35	62	is	be	AUX
ejpam-5851	35	63	a	a	DET
ejpam-5851	35	64	real	real	ADJ
ejpam-5851	35	65	function	function	NOUN
ejpam-5851	35	66	and	and	CCONJ
ejpam-5851	35	67	d	d	NOUN
ejpam-5851	35	68	=	=	PUNCT
ejpam-5851	35	69	±1	±1	VERB
ejpam-5851	35	70	.	.	PUNCT
ejpam-5851	36	1	the	the	DET
ejpam-5851	36	2	coefficients	coefficient	NOUN
ejpam-5851	36	3	a	a	DET
ejpam-5851	36	4	,	,	PUNCT
ejpam-5851	36	5	b	b	NOUN
ejpam-5851	36	6	,	,	PUNCT
ejpam-5851	36	7	and	and	CCONJ
ejpam-5851	36	8	c	c	AUX
ejpam-5851	36	9	represent	represent	VERB
ejpam-5851	36	10	arbitrary	arbitrary	ADJ
ejpam-5851	36	11	constants	constant	NOUN
ejpam-5851	36	12	.	.	PUNCT
ejpam-5851	37	1	the	the	DET
ejpam-5851	37	2	two	two	NUM
ejpam-5851	37	3	equations	equation	NOUN
ejpam-5851	37	4	above	above	ADP
ejpam-5851	37	5	lead	lead	NOUN
ejpam-5851	37	6	to	to	ADP
ejpam-5851	37	7	particular	particular	ADJ
ejpam-5851	37	8	models	model	NOUN
ejpam-5851	37	9	under	under	ADP
ejpam-5851	37	10	suitable	suitable	ADJ
ejpam-5851	37	11	parametric	parametric	ADJ
ejpam-5851	37	12	scenarios	scenario	NOUN
ejpam-5851	37	13	.	.	PUNCT
ejpam-5851	38	1	notice	notice	NOUN
ejpam-5851	38	2	,	,	PUNCT
ejpam-5851	38	3	for	for	ADP
ejpam-5851	38	4	example	example	NOUN
ejpam-5851	38	5	,	,	PUNCT
ejpam-5851	38	6	that	that	SCONJ
ejpam-5851	38	7	if	if	SCONJ
ejpam-5851	38	8	b	b	PROPN
ejpam-5851	38	9	=	=	SYM
ejpam-5851	38	10	0	0	NUM
ejpam-5851	38	11	,	,	PUNCT
ejpam-5851	38	12	then	then	ADV
ejpam-5851	38	13	the	the	DET
ejpam-5851	38	14	ae	ae	PROPN
ejpam-5851	38	15	becomes	become	VERB
ejpam-5851	38	16	the	the	DET
ejpam-5851	38	17	schrödinger	schrödinger	NOUN
ejpam-5851	38	18	equation	equation	NOUN
ejpam-5851	38	19	,	,	PUNCT
ejpam-5851	38	20	and	and	CCONJ
ejpam-5851	38	21	if	if	SCONJ
ejpam-5851	38	22	a	a	DET
ejpam-5851	38	23	=	=	NOUN
ejpam-5851	38	24	0	0	NUM
ejpam-5851	38	25	,	,	PUNCT
ejpam-5851	38	26	it	it	PRON
ejpam-5851	38	27	becomes	become	VERB
ejpam-5851	38	28	the	the	DET
ejpam-5851	38	29	kuralay	kuralay	NOUN
ejpam-5851	38	30	equation	equation	NOUN
ejpam-5851	38	31	.	.	PUNCT
ejpam-5851	39	1	regarded	regard	VERB
ejpam-5851	39	2	as	as	ADP
ejpam-5851	39	3	a	a	DET
ejpam-5851	39	4	heisenberg	heisenberg	PROPN
ejpam-5851	39	5	ferromagnet	ferromagnet	NOUN
ejpam-5851	39	6	-	-	PUNCT
ejpam-5851	39	7	type	type	NOUN
ejpam-5851	39	8	equation	equation	NOUN
ejpam-5851	39	9	,	,	PUNCT
ejpam-5851	39	10	the	the	DET
ejpam-5851	39	11	ae	ae	PROPN
ejpam-5851	39	12	is	be	AUX
ejpam-5851	39	13	crucial	crucial	ADJ
ejpam-5851	39	14	for	for	ADP
ejpam-5851	39	15	studying	study	VERB
ejpam-5851	39	16	nonlinear	nonlinear	ADJ
ejpam-5851	39	17	phenomena	phenomenon	NOUN
ejpam-5851	39	18	in	in	ADP
ejpam-5851	39	19	optics	optic	NOUN
ejpam-5851	39	20	,	,	PUNCT
ejpam-5851	39	21	curve	curve	NOUN
ejpam-5851	39	22	and	and	CCONJ
ejpam-5851	39	23	surface	surface	NOUN
ejpam-5851	39	24	differential	differential	NOUN
ejpam-5851	39	25	geometry	geometry	NOUN
ejpam-5851	39	26	,	,	PUNCT
ejpam-5851	39	27	and	and	CCONJ
ejpam-5851	39	28	magnets	magnet	NOUN
ejpam-5851	39	29	[	[	X
ejpam-5851	39	30	34	34	NUM
ejpam-5851	39	31	]	]	PUNCT
ejpam-5851	39	32	.	.	PUNCT
ejpam-5851	40	1	analytical	analytical	ADJ
ejpam-5851	40	2	solutions	solution	NOUN
ejpam-5851	40	3	for	for	ADP
ejpam-5851	40	4	this	this	DET
ejpam-5851	40	5	equation	equation	NOUN
ejpam-5851	40	6	are	be	AUX
ejpam-5851	40	7	vital	vital	ADJ
ejpam-5851	40	8	tools	tool	NOUN
ejpam-5851	40	9	in	in	ADP
ejpam-5851	40	10	both	both	CCONJ
ejpam-5851	40	11	scientific	scientific	ADJ
ejpam-5851	40	12	inquiry	inquiry	NOUN
ejpam-5851	40	13	and	and	CCONJ
ejpam-5851	40	14	engineering	engineering	NOUN
ejpam-5851	40	15	practice	practice	NOUN
ejpam-5851	40	16	.	.	PUNCT
ejpam-5851	41	1	they	they	PRON
ejpam-5851	41	2	not	not	PART
ejpam-5851	41	3	only	only	ADV
ejpam-5851	41	4	provide	provide	VERB
ejpam-5851	41	5	a	a	DET
ejpam-5851	41	6	solid	solid	ADJ
ejpam-5851	41	7	foundation	foundation	NOUN
ejpam-5851	41	8	for	for	ADP
ejpam-5851	41	9	theoretical	theoretical	ADJ
ejpam-5851	41	10	growth	growth	NOUN
ejpam-5851	41	11	and	and	CCONJ
ejpam-5851	41	12	enable	enable	VERB
ejpam-5851	41	13	accurate	accurate	ADJ
ejpam-5851	41	14	system	system	NOUN
ejpam-5851	41	15	control	control	NOUN
ejpam-5851	41	16	and	and	CCONJ
ejpam-5851	41	17	prediction	prediction	NOUN
ejpam-5851	41	18	,	,	PUNCT
ejpam-5851	41	19	but	but	CCONJ
ejpam-5851	41	20	they	they	PRON
ejpam-5851	41	21	also	also	ADV
ejpam-5851	41	22	aid	aid	VERB
ejpam-5851	41	23	in	in	ADP
ejpam-5851	41	24	the	the	DET
ejpam-5851	41	25	advancement	advancement	NOUN
ejpam-5851	41	26	of	of	ADP
ejpam-5851	41	27	our	our	PRON
ejpam-5851	41	28	understanding	understanding	NOUN
ejpam-5851	41	29	of	of	ADP
ejpam-5851	41	30	the	the	DET
ejpam-5851	41	31	natural	natural	ADJ
ejpam-5851	41	32	world	world	NOUN
ejpam-5851	41	33	.	.	PUNCT
ejpam-5851	42	1	given	give	VERB
ejpam-5851	42	2	the	the	DET
ejpam-5851	42	3	wide	wide	ADJ
ejpam-5851	42	4	range	range	NOUN
ejpam-5851	42	5	of	of	ADP
ejpam-5851	42	6	scientific	scientific	ADJ
ejpam-5851	42	7	fields	field	NOUN
ejpam-5851	42	8	in	in	ADP
ejpam-5851	42	9	which	which	PRON
ejpam-5851	42	10	the	the	DET
ejpam-5851	42	11	ae	ae	PROPN
ejpam-5851	42	12	finds	find	VERB
ejpam-5851	42	13	application	application	NOUN
ejpam-5851	42	14	,	,	PUNCT
ejpam-5851	42	15	analytical	analytical	ADJ
ejpam-5851	42	16	solutions	solution	NOUN
ejpam-5851	42	17	are	be	AUX
ejpam-5851	42	18	necessary	necessary	ADJ
ejpam-5851	42	19	to	to	PART
ejpam-5851	42	20	obtain	obtain	VERB
ejpam-5851	42	21	insights	insight	NOUN
ejpam-5851	42	22	of	of	ADP
ejpam-5851	42	23	the	the	DET
ejpam-5851	42	24	model	model	NOUN
ejpam-5851	42	25	.	.	PUNCT
ejpam-5851	43	1	considering	consider	VERB
ejpam-5851	43	2	that	that	SCONJ
ejpam-5851	43	3	analytical	analytical	ADJ
ejpam-5851	43	4	solutions	solution	NOUN
ejpam-5851	43	5	provide	provide	VERB
ejpam-5851	43	6	for	for	ADP
ejpam-5851	43	7	a	a	DET
ejpam-5851	43	8	complete	complete	ADJ
ejpam-5851	43	9	understanding	understanding	NOUN
ejpam-5851	43	10	of	of	ADP
ejpam-5851	43	11	the	the	DET
ejpam-5851	43	12	system	system	NOUN
ejpam-5851	43	13	’s	’s	PART
ejpam-5851	43	14	underlying	underlie	VERB
ejpam-5851	43	15	behavior	behavior	NOUN
ejpam-5851	43	16	,	,	PUNCT
ejpam-5851	43	17	as	as	SCONJ
ejpam-5851	43	18	described	describe	VERB
ejpam-5851	43	19	by	by	ADP
ejpam-5851	43	20	the	the	DET
ejpam-5851	43	21	equations	equation	NOUN
ejpam-5851	43	22	.	.	PUNCT
ejpam-5851	44	1	their	their	PRON
ejpam-5851	44	2	concise	concise	ADJ
ejpam-5851	44	3	representation	representation	NOUN
ejpam-5851	44	4	of	of	ADP
ejpam-5851	44	5	the	the	DET
ejpam-5851	44	6	interactions	interaction	NOUN
ejpam-5851	44	7	between	between	ADP
ejpam-5851	44	8	variables	variable	NOUN
ejpam-5851	44	9	and	and	CCONJ
ejpam-5851	44	10	parameters	parameter	NOUN
ejpam-5851	44	11	facilitates	facilitate	VERB
ejpam-5851	44	12	a	a	DET
ejpam-5851	44	13	deeper	deep	ADJ
ejpam-5851	44	14	understanding	understanding	NOUN
ejpam-5851	44	15	of	of	ADP
ejpam-5851	44	16	the	the	DET
ejpam-5851	44	17	underlying	underlying	ADJ
ejpam-5851	44	18	concepts	concept	NOUN
ejpam-5851	44	19	driving	drive	VERB
ejpam-5851	44	20	the	the	DET
ejpam-5851	44	21	system	system	NOUN
ejpam-5851	44	22	.	.	PUNCT
ejpam-5851	45	1	the	the	DET
ejpam-5851	45	2	impetus	impetus	NOUN
ejpam-5851	45	3	for	for	ADP
ejpam-5851	45	4	suggesting	suggest	VERB
ejpam-5851	45	5	the	the	DET
ejpam-5851	45	6	hirota	hirota	PROPN
ejpam-5851	45	7	bilinear	bilinear	NOUN
ejpam-5851	45	8	method	method	NOUN
ejpam-5851	45	9	is	be	AUX
ejpam-5851	45	10	the	the	DET
ejpam-5851	45	11	limitation	limitation	NOUN
ejpam-5851	45	12	of	of	ADP
ejpam-5851	45	13	current	current	ADJ
ejpam-5851	45	14	approaches	approach	NOUN
ejpam-5851	45	15	applied	apply	VERB
ejpam-5851	45	16	to	to	ADP
ejpam-5851	45	17	the	the	DET
ejpam-5851	45	18	ae	ae	PROPN
ejpam-5851	45	19	,	,	PUNCT
ejpam-5851	45	20	including	include	VERB
ejpam-5851	45	21	the	the	DET
ejpam-5851	45	22	fan	fan	NOUN
ejpam-5851	45	23	sub	sub	NOUN
ejpam-5851	45	24	-	-	ADJ
ejpam-5851	45	25	equation	equation	NOUN
ejpam-5851	45	26	method	method	NOUN
ejpam-5851	45	27	,	,	PUNCT
ejpam-5851	45	28	darboux	darboux	VERB
ejpam-5851	45	29	transformation	transformation	NOUN
ejpam-5851	45	30	,	,	PUNCT
ejpam-5851	45	31	and	and	CCONJ
ejpam-5851	45	32	lie	lie	VERB
ejpam-5851	45	33	b.	b.	PROPN
ejpam-5851	45	34	ceesay	ceesay	PROPN
ejpam-5851	45	35	et	et	PROPN
ejpam-5851	45	36	al	al	PROPN
ejpam-5851	45	37	.	.	PUNCT
ejpam-5851	45	38	/	/	SYM
ejpam-5851	45	39	eur	eur	PROPN
ejpam-5851	45	40	.	.	PUNCT
ejpam-5851	46	1	j.	j.	PROPN
ejpam-5851	46	2	pure	pure	PROPN
ejpam-5851	46	3	appl	appl	PROPN
ejpam-5851	46	4	.	.	PROPN
ejpam-5851	46	5	math	math	PROPN
ejpam-5851	46	6	,	,	PUNCT
ejpam-5851	46	7	18	18	NUM
ejpam-5851	46	8	(	(	PUNCT
ejpam-5851	46	9	2	2	NUM
ejpam-5851	46	10	)	)	PUNCT
ejpam-5851	46	11	(	(	PUNCT
ejpam-5851	46	12	2025	2025	NUM
ejpam-5851	46	13	)	)	PUNCT
ejpam-5851	46	14	,	,	PUNCT
ejpam-5851	46	15	5851	5851	NUM
ejpam-5851	46	16	3	3	NUM
ejpam-5851	46	17	of	of	ADP
ejpam-5851	46	18	32	32	NUM
ejpam-5851	46	19	group	group	NOUN
ejpam-5851	46	20	method	method	NOUN
ejpam-5851	46	21	,	,	PUNCT
ejpam-5851	46	22	which	which	PRON
ejpam-5851	46	23	tend	tend	VERB
ejpam-5851	46	24	to	to	PART
ejpam-5851	46	25	fail	fail	VERB
ejpam-5851	46	26	in	in	ADP
ejpam-5851	46	27	dealing	deal	VERB
ejpam-5851	46	28	with	with	ADP
ejpam-5851	46	29	complicated	complicated	ADJ
ejpam-5851	46	30	wave	wave	NOUN
ejpam-5851	46	31	interactions	interaction	NOUN
ejpam-5851	46	32	or	or	CCONJ
ejpam-5851	46	33	deriving	derive	VERB
ejpam-5851	46	34	exact	exact	ADJ
ejpam-5851	46	35	solutions	solution	NOUN
ejpam-5851	46	36	for	for	ADP
ejpam-5851	46	37	some	some	DET
ejpam-5851	46	38	nonlinear	nonlinear	ADJ
ejpam-5851	46	39	equations	equation	NOUN
ejpam-5851	46	40	.	.	PUNCT
ejpam-5851	47	1	comprehensive	comprehensive	ADJ
ejpam-5851	47	2	solutions	solution	NOUN
ejpam-5851	47	3	are	be	AUX
ejpam-5851	47	4	required	require	VERB
ejpam-5851	47	5	with	with	ADP
ejpam-5851	47	6	the	the	DET
ejpam-5851	47	7	utmost	utmost	ADJ
ejpam-5851	47	8	urgency	urgency	NOUN
ejpam-5851	47	9	since	since	SCONJ
ejpam-5851	47	10	the	the	DET
ejpam-5851	47	11	hirota	hirota	PROPN
ejpam-5851	47	12	bilinear	bilinear	NOUN
ejpam-5851	47	13	method	method	NOUN
ejpam-5851	47	14	is	be	AUX
ejpam-5851	47	15	versatile	versatile	ADJ
ejpam-5851	47	16	in	in	ADP
ejpam-5851	47	17	deriving	derive	VERB
ejpam-5851	47	18	various	various	ADJ
ejpam-5851	47	19	types	type	NOUN
ejpam-5851	47	20	of	of	ADP
ejpam-5851	47	21	wave	wave	NOUN
ejpam-5851	47	22	structures	structure	NOUN
ejpam-5851	47	23	such	such	ADJ
ejpam-5851	47	24	as	as	ADP
ejpam-5851	47	25	periodic	periodic	ADJ
ejpam-5851	47	26	,	,	PUNCT
ejpam-5851	47	27	breather	breather	NOUN
ejpam-5851	47	28	,	,	PUNCT
ejpam-5851	47	29	and	and	CCONJ
ejpam-5851	47	30	mixed	mixed	ADJ
ejpam-5851	47	31	waves	wave	NOUN
ejpam-5851	47	32	,	,	PUNCT
ejpam-5851	47	33	which	which	PRON
ejpam-5851	47	34	are	be	AUX
ejpam-5851	47	35	fundamental	fundamental	ADJ
ejpam-5851	47	36	in	in	ADP
ejpam-5851	47	37	explaining	explain	VERB
ejpam-5851	47	38	intricate	intricate	ADJ
ejpam-5851	47	39	nonlinear	nonlinear	ADJ
ejpam-5851	47	40	phenomena	phenomenon	NOUN
ejpam-5851	47	41	in	in	ADP
ejpam-5851	47	42	areas	area	NOUN
ejpam-5851	47	43	of	of	ADP
ejpam-5851	47	44	optics	optic	NOUN
ejpam-5851	47	45	,	,	PUNCT
ejpam-5851	47	46	magnetism	magnetism	NOUN
ejpam-5851	47	47	,	,	PUNCT
ejpam-5851	47	48	and	and	CCONJ
ejpam-5851	47	49	differential	differential	ADJ
ejpam-5851	47	50	geometry	geometry	NOUN
ejpam-5851	47	51	.	.	PUNCT
ejpam-5851	48	1	moreover	moreover	ADV
ejpam-5851	48	2	,	,	PUNCT
ejpam-5851	48	3	the	the	DET
ejpam-5851	48	4	ability	ability	NOUN
ejpam-5851	48	5	of	of	ADP
ejpam-5851	48	6	the	the	DET
ejpam-5851	48	7	method	method	NOUN
ejpam-5851	48	8	to	to	PART
ejpam-5851	48	9	generate	generate	VERB
ejpam-5851	48	10	physically	physically	ADV
ejpam-5851	48	11	sensible	sensible	ADJ
ejpam-5851	48	12	solutions	solution	NOUN
ejpam-5851	48	13	that	that	PRON
ejpam-5851	48	14	successfully	successfully	ADV
ejpam-5851	48	15	simulate	simulate	VERB
ejpam-5851	48	16	the	the	DET
ejpam-5851	48	17	dynamic	dynamic	ADJ
ejpam-5851	48	18	characteristics	characteristic	NOUN
ejpam-5851	48	19	of	of	ADP
ejpam-5851	48	20	traveling	travel	VERB
ejpam-5851	48	21	-	-	PUNCT
ejpam-5851	48	22	wave	wave	NOUN
ejpam-5851	48	23	deformation	deformation	NOUN
ejpam-5851	48	24	fronts	front	NOUN
ejpam-5851	48	25	in	in	ADP
ejpam-5851	48	26	dispersive	dispersive	ADJ
ejpam-5851	48	27	media	medium	NOUN
ejpam-5851	48	28	renders	render	VERB
ejpam-5851	48	29	it	it	PRON
ejpam-5851	48	30	a	a	DET
ejpam-5851	48	31	valuable	valuable	ADJ
ejpam-5851	48	32	asset	asset	NOUN
ejpam-5851	48	33	for	for	ADP
ejpam-5851	48	34	theoretical	theoretical	ADJ
ejpam-5851	48	35	and	and	CCONJ
ejpam-5851	48	36	experimental	experimental	ADJ
ejpam-5851	48	37	study	study	NOUN
ejpam-5851	48	38	.	.	PUNCT
ejpam-5851	49	1	this	this	DET
ejpam-5851	49	2	accuracy	accuracy	NOUN
ejpam-5851	49	3	and	and	CCONJ
ejpam-5851	49	4	flexibility	flexibility	NOUN
ejpam-5851	49	5	bridge	bridge	NOUN
ejpam-5851	49	6	gaps	gap	NOUN
ejpam-5851	49	7	in	in	ADP
ejpam-5851	49	8	existing	exist	VERB
ejpam-5851	49	9	approaches	approach	NOUN
ejpam-5851	49	10	,	,	PUNCT
ejpam-5851	49	11	gaining	gain	VERB
ejpam-5851	49	12	understanding	understanding	NOUN
ejpam-5851	49	13	of	of	ADP
ejpam-5851	49	14	nonlinear	nonlinear	ADJ
ejpam-5851	49	15	system	system	NOUN
ejpam-5851	49	16	behavior	behavior	NOUN
ejpam-5851	49	17	at	at	ADP
ejpam-5851	49	18	progressively	progressively	ADV
ejpam-5851	49	19	deeper	deep	ADJ
ejpam-5851	49	20	levels	level	NOUN
ejpam-5851	49	21	and	and	CCONJ
ejpam-5851	49	22	driving	drive	VERB
ejpam-5851	49	23	applications	application	NOUN
ejpam-5851	49	24	throughout	throughout	ADP
ejpam-5851	49	25	scientific	scientific	ADJ
ejpam-5851	49	26	and	and	CCONJ
ejpam-5851	49	27	engineering	engineering	NOUN
ejpam-5851	49	28	disciplines	discipline	NOUN
ejpam-5851	49	29	.	.	PUNCT
ejpam-5851	50	1	this	this	DET
ejpam-5851	50	2	work	work	NOUN
ejpam-5851	50	3	is	be	AUX
ejpam-5851	50	4	validated	validate	VERB
ejpam-5851	50	5	over	over	ADP
ejpam-5851	50	6	current	current	ADJ
ejpam-5851	50	7	methods	method	NOUN
ejpam-5851	50	8	through	through	ADP
ejpam-5851	50	9	the	the	DET
ejpam-5851	50	10	use	use	NOUN
ejpam-5851	50	11	of	of	ADP
ejpam-5851	50	12	the	the	DET
ejpam-5851	50	13	hirota	hirota	PROPN
ejpam-5851	50	14	bilinear	bilinear	NOUN
ejpam-5851	50	15	technique	technique	NOUN
ejpam-5851	50	16	,	,	PUNCT
ejpam-5851	50	17	a	a	DET
ejpam-5851	50	18	established	establish	VERB
ejpam-5851	50	19	method	method	NOUN
ejpam-5851	50	20	for	for	ADP
ejpam-5851	50	21	exact	exact	ADJ
ejpam-5851	50	22	solutions	solution	NOUN
ejpam-5851	50	23	of	of	ADP
ejpam-5851	50	24	nlpdes	nlpde	NOUN
ejpam-5851	50	25	.	.	PUNCT
ejpam-5851	51	1	the	the	DET
ejpam-5851	51	2	investigation	investigation	NOUN
ejpam-5851	51	3	obtained	obtain	VERB
ejpam-5851	51	4	a	a	DET
ejpam-5851	51	5	variety	variety	NOUN
ejpam-5851	51	6	of	of	ADP
ejpam-5851	51	7	wave	wave	NOUN
ejpam-5851	51	8	solutions	solution	NOUN
ejpam-5851	51	9	such	such	ADJ
ejpam-5851	51	10	as	as	ADP
ejpam-5851	51	11	periodic	periodic	ADJ
ejpam-5851	51	12	lump	lump	NOUN
ejpam-5851	51	13	waves	wave	NOUN
ejpam-5851	51	14	,	,	PUNCT
ejpam-5851	51	15	periodic	periodic	ADJ
ejpam-5851	51	16	cross	cross	ADJ
ejpam-5851	51	17	-	-	ADJ
ejpam-5851	51	18	kink	kink	ADJ
ejpam-5851	51	19	waves	wave	NOUN
ejpam-5851	51	20	,	,	PUNCT
ejpam-5851	51	21	homoclinic	homoclinic	ADJ
ejpam-5851	51	22	breather	breather	NOUN
ejpam-5851	51	23	waves	wave	NOUN
ejpam-5851	51	24	,	,	PUNCT
ejpam-5851	51	25	m	m	NOUN
ejpam-5851	51	26	-	-	PUNCT
ejpam-5851	51	27	shaped	shape	VERB
ejpam-5851	51	28	waves	wave	NOUN
ejpam-5851	51	29	,	,	PUNCT
ejpam-5851	51	30	and	and	CCONJ
ejpam-5851	51	31	mixed	mixed	ADJ
ejpam-5851	51	32	waves	wave	NOUN
ejpam-5851	51	33	,	,	PUNCT
ejpam-5851	51	34	proving	prove	VERB
ejpam-5851	51	35	the	the	DET
ejpam-5851	51	36	universality	universality	NOUN
ejpam-5851	51	37	of	of	ADP
ejpam-5851	51	38	the	the	DET
ejpam-5851	51	39	method	method	NOUN
ejpam-5851	51	40	.	.	PUNCT
ejpam-5851	52	1	in	in	ADP
ejpam-5851	52	2	comparison	comparison	NOUN
ejpam-5851	52	3	with	with	ADP
ejpam-5851	52	4	findings	finding	NOUN
ejpam-5851	52	5	from	from	ADP
ejpam-5851	52	6	alternative	alternative	ADJ
ejpam-5851	52	7	approaches	approach	NOUN
ejpam-5851	52	8	,	,	PUNCT
ejpam-5851	52	9	such	such	ADJ
ejpam-5851	52	10	as	as	ADP
ejpam-5851	52	11	the	the	DET
ejpam-5851	52	12	new	new	ADJ
ejpam-5851	52	13	extended	extended	ADJ
ejpam-5851	52	14	auxiliary	auxiliary	ADJ
ejpam-5851	52	15	equation	equation	NOUN
ejpam-5851	52	16	method	method	NOUN
ejpam-5851	52	17	,	,	PUNCT
ejpam-5851	52	18	the	the	DET
ejpam-5851	52	19	darboux	darboux	ADJ
ejpam-5851	52	20	transformation	transformation	NOUN
ejpam-5851	52	21	,	,	PUNCT
ejpam-5851	52	22	modified	modify	VERB
ejpam-5851	52	23	khater	khater	NOUN
ejpam-5851	52	24	method	method	NOUN
ejpam-5851	52	25	,	,	PUNCT
ejpam-5851	52	26	and	and	CCONJ
ejpam-5851	52	27	sardar	sardar	PROPN
ejpam-5851	52	28	sub	sub	ADJ
ejpam-5851	52	29	-	-	ADJ
ejpam-5851	52	30	equation	equation	NOUN
ejpam-5851	52	31	method	method	NOUN
ejpam-5851	52	32	,	,	PUNCT
ejpam-5851	52	33	the	the	DET
ejpam-5851	52	34	versatility	versatility	NOUN
ejpam-5851	52	35	of	of	ADP
ejpam-5851	52	36	the	the	DET
ejpam-5851	52	37	bilinear	bilinear	NOUN
ejpam-5851	52	38	technique	technique	NOUN
ejpam-5851	52	39	providing	provide	VERB
ejpam-5851	52	40	more	more	ADV
ejpam-5851	52	41	complete	complete	ADJ
ejpam-5851	52	42	and	and	CCONJ
ejpam-5851	52	43	accurate	accurate	ADJ
ejpam-5851	52	44	results	result	NOUN
ejpam-5851	52	45	is	be	AUX
ejpam-5851	52	46	emphasized	emphasize	VERB
ejpam-5851	52	47	.	.	PUNCT
ejpam-5851	53	1	precise	precise	ADJ
ejpam-5851	53	2	graphical	graphical	ADJ
ejpam-5851	53	3	visualizations	visualization	NOUN
ejpam-5851	53	4	,	,	PUNCT
ejpam-5851	53	5	viz	viz	PROPN
ejpam-5851	53	6	.	.	PROPN
ejpam-5851	53	7	,	,	PUNCT
ejpam-5851	53	8	three	three	NUM
ejpam-5851	53	9	-	-	PUNCT
ejpam-5851	53	10	dimensional	dimensional	ADJ
ejpam-5851	53	11	,	,	PUNCT
ejpam-5851	53	12	contour	contour	NOUN
ejpam-5851	53	13	,	,	PUNCT
ejpam-5851	53	14	and	and	CCONJ
ejpam-5851	53	15	density	density	NOUN
ejpam-5851	53	16	plots	plot	NOUN
ejpam-5851	53	17	,	,	PUNCT
ejpam-5851	53	18	are	be	AUX
ejpam-5851	53	19	included	include	VERB
ejpam-5851	53	20	to	to	PART
ejpam-5851	53	21	present	present	VERB
ejpam-5851	53	22	physical	physical	ADJ
ejpam-5851	53	23	structures	structure	NOUN
ejpam-5851	53	24	and	and	CCONJ
ejpam-5851	53	25	dynamical	dynamical	ADJ
ejpam-5851	53	26	properties	property	NOUN
ejpam-5851	53	27	of	of	ADP
ejpam-5851	53	28	the	the	DET
ejpam-5851	53	29	solutions	solution	NOUN
ejpam-5851	53	30	in	in	ADP
ejpam-5851	53	31	support	support	NOUN
ejpam-5851	53	32	of	of	ADP
ejpam-5851	53	33	their	their	PRON
ejpam-5851	53	34	accuracy	accuracy	NOUN
ejpam-5851	53	35	.	.	PUNCT
ejpam-5851	54	1	the	the	DET
ejpam-5851	54	2	research	research	NOUN
ejpam-5851	54	3	also	also	ADV
ejpam-5851	54	4	completes	complete	VERB
ejpam-5851	54	5	some	some	PRON
ejpam-5851	54	6	of	of	ADP
ejpam-5851	54	7	the	the	DET
ejpam-5851	54	8	gaps	gap	NOUN
ejpam-5851	54	9	in	in	ADP
ejpam-5851	54	10	the	the	DET
ejpam-5851	54	11	existing	exist	VERB
ejpam-5851	54	12	literature	literature	NOUN
ejpam-5851	54	13	,	,	PUNCT
ejpam-5851	54	14	providing	provide	VERB
ejpam-5851	54	15	new	new	ADJ
ejpam-5851	54	16	insights	insight	NOUN
ejpam-5851	54	17	to	to	ADP
ejpam-5851	54	18	the	the	DET
ejpam-5851	54	19	solutions	solution	NOUN
ejpam-5851	54	20	of	of	ADP
ejpam-5851	54	21	the	the	DET
ejpam-5851	54	22	akbota	akbota	ADJ
ejpam-5851	54	23	equation	equation	NOUN
ejpam-5851	54	24	.	.	PUNCT
ejpam-5851	55	1	the	the	DET
ejpam-5851	55	2	conformity	conformity	NOUN
ejpam-5851	55	3	of	of	ADP
ejpam-5851	55	4	the	the	DET
ejpam-5851	55	5	results	result	NOUN
ejpam-5851	55	6	with	with	ADP
ejpam-5851	55	7	well	well	ADV
ejpam-5851	55	8	-	-	PUNCT
ejpam-5851	55	9	established	establish	VERB
ejpam-5851	55	10	results	result	NOUN
ejpam-5851	55	11	of	of	ADP
ejpam-5851	55	12	painleve	painleve	NOUN
ejpam-5851	55	13	analysis	analysis	NOUN
ejpam-5851	55	14	and	and	CCONJ
ejpam-5851	55	15	other	other	ADJ
ejpam-5851	55	16	methods	method	NOUN
ejpam-5851	55	17	,	,	PUNCT
ejpam-5851	55	18	as	as	ADV
ejpam-5851	55	19	well	well	ADV
ejpam-5851	55	20	as	as	ADP
ejpam-5851	55	21	their	their	PRON
ejpam-5851	55	22	possible	possible	ADJ
ejpam-5851	55	23	applications	application	NOUN
ejpam-5851	55	24	in	in	ADP
ejpam-5851	55	25	surface	surface	NOUN
ejpam-5851	55	26	geometry	geometry	NOUN
ejpam-5851	55	27	,	,	PUNCT
ejpam-5851	55	28	nonlinear	nonlinear	ADJ
ejpam-5851	55	29	optics	optic	NOUN
ejpam-5851	55	30	and	and	CCONJ
ejpam-5851	55	31	magnetism	magnetism	NOUN
ejpam-5851	55	32	,	,	PUNCT
ejpam-5851	55	33	underscores	underscore	VERB
ejpam-5851	55	34	the	the	DET
ejpam-5851	55	35	strength	strength	NOUN
ejpam-5851	55	36	and	and	CCONJ
ejpam-5851	55	37	applicability	applicability	NOUN
ejpam-5851	55	38	of	of	ADP
ejpam-5851	55	39	the	the	DET
ejpam-5851	55	40	proposed	propose	VERB
ejpam-5851	55	41	method	method	NOUN
ejpam-5851	55	42	.	.	PUNCT
ejpam-5851	56	1	finally	finally	ADV
ejpam-5851	56	2	,	,	PUNCT
ejpam-5851	56	3	this	this	DET
ejpam-5851	56	4	paper	paper	NOUN
ejpam-5851	56	5	presents	present	VERB
ejpam-5851	56	6	a	a	DET
ejpam-5851	56	7	number	number	NOUN
ejpam-5851	56	8	of	of	ADP
ejpam-5851	56	9	important	important	ADJ
ejpam-5851	56	10	contributions	contribution	NOUN
ejpam-5851	56	11	to	to	ADP
ejpam-5851	56	12	the	the	DET
ejpam-5851	56	13	research	research	NOUN
ejpam-5851	56	14	on	on	ADP
ejpam-5851	56	15	the	the	DET
ejpam-5851	56	16	heisenberg	heisenberg	PROPN
ejpam-5851	56	17	ferromagnet	ferromagnet	NOUN
ejpam-5851	56	18	-	-	PUNCT
ejpam-5851	56	19	type	type	NOUN
ejpam-5851	56	20	ae	ae	PROPN
ejpam-5851	56	21	.	.	PUNCT
ejpam-5851	57	1	using	use	VERB
ejpam-5851	57	2	the	the	DET
ejpam-5851	57	3	bilinear	bilinear	NOUN
ejpam-5851	57	4	method	method	NOUN
ejpam-5851	57	5	,	,	PUNCT
ejpam-5851	57	6	we	we	PRON
ejpam-5851	57	7	obtained	obtain	VERB
ejpam-5851	57	8	new	new	ADJ
ejpam-5851	57	9	wave	wave	NOUN
ejpam-5851	57	10	solutions	solution	NOUN
ejpam-5851	57	11	for	for	ADP
ejpam-5851	57	12	this	this	DET
ejpam-5851	57	13	equation	equation	NOUN
ejpam-5851	57	14	,	,	PUNCT
ejpam-5851	57	15	such	such	ADJ
ejpam-5851	57	16	as	as	ADP
ejpam-5851	57	17	periodic	periodic	ADJ
ejpam-5851	57	18	lump	lump	NOUN
ejpam-5851	57	19	waves	wave	NOUN
ejpam-5851	57	20	,	,	PUNCT
ejpam-5851	57	21	homoclinic	homoclinic	ADJ
ejpam-5851	57	22	breathers	breather	NOUN
ejpam-5851	57	23	,	,	PUNCT
ejpam-5851	57	24	and	and	CCONJ
ejpam-5851	57	25	m	m	NOUN
ejpam-5851	57	26	-	-	PUNCT
ejpam-5851	57	27	shaped	shape	VERB
ejpam-5851	57	28	waves	wave	NOUN
ejpam-5851	57	29	,	,	PUNCT
ejpam-5851	57	30	which	which	PRON
ejpam-5851	57	31	broaden	broaden	VERB
ejpam-5851	57	32	the	the	DET
ejpam-5851	57	33	knowledge	knowledge	NOUN
ejpam-5851	57	34	of	of	ADP
ejpam-5851	57	35	nonlinear	nonlinear	ADJ
ejpam-5851	57	36	wave	wave	NOUN
ejpam-5851	57	37	phenomena	phenomena	PROPN
ejpam-5851	57	38	.	.	PUNCT
ejpam-5851	58	1	the	the	DET
ejpam-5851	58	2	graphical	graphical	ADJ
ejpam-5851	58	3	solutions	solution	NOUN
ejpam-5851	58	4	offer	offer	VERB
ejpam-5851	58	5	useful	useful	ADJ
ejpam-5851	58	6	information	information	NOUN
ejpam-5851	58	7	on	on	ADP
ejpam-5851	58	8	the	the	DET
ejpam-5851	58	9	dynamic	dynamic	ADJ
ejpam-5851	58	10	nature	nature	NOUN
ejpam-5851	58	11	of	of	ADP
ejpam-5851	58	12	these	these	DET
ejpam-5851	58	13	waves	wave	NOUN
ejpam-5851	58	14	,	,	PUNCT
ejpam-5851	58	15	and	and	CCONJ
ejpam-5851	58	16	the	the	DET
ejpam-5851	58	17	applicability	applicability	NOUN
ejpam-5851	58	18	of	of	ADP
ejpam-5851	58	19	the	the	DET
ejpam-5851	58	20	solutions	solution	NOUN
ejpam-5851	58	21	to	to	ADP
ejpam-5851	58	22	practical	practical	ADJ
ejpam-5851	58	23	problems	problem	NOUN
ejpam-5851	58	24	lies	lie	VERB
ejpam-5851	58	25	in	in	ADP
ejpam-5851	58	26	areas	area	NOUN
ejpam-5851	58	27	like	like	ADP
ejpam-5851	58	28	nonlinear	nonlinear	ADJ
ejpam-5851	58	29	optics	optic	NOUN
ejpam-5851	58	30	and	and	CCONJ
ejpam-5851	58	31	magnetism	magnetism	NOUN
ejpam-5851	58	32	.	.	PUNCT
ejpam-5851	59	1	the	the	DET
ejpam-5851	59	2	study	study	NOUN
ejpam-5851	59	3	contributes	contribute	VERB
ejpam-5851	59	4	to	to	ADP
ejpam-5851	59	5	the	the	DET
ejpam-5851	59	6	theoretical	theoretical	ADJ
ejpam-5851	59	7	development	development	NOUN
ejpam-5851	59	8	of	of	ADP
ejpam-5851	59	9	the	the	DET
ejpam-5851	59	10	akbota	akbota	ADJ
ejpam-5851	59	11	equation	equation	NOUN
ejpam-5851	59	12	and	and	CCONJ
ejpam-5851	59	13	proves	prove	VERB
ejpam-5851	59	14	the	the	DET
ejpam-5851	59	15	efficiency	efficiency	NOUN
ejpam-5851	59	16	of	of	ADP
ejpam-5851	59	17	the	the	DET
ejpam-5851	59	18	hirota	hirota	PROPN
ejpam-5851	59	19	bilinear	bilinear	NOUN
ejpam-5851	59	20	method	method	NOUN
ejpam-5851	59	21	in	in	ADP
ejpam-5851	59	22	solving	solve	VERB
ejpam-5851	59	23	intricate	intricate	ADJ
ejpam-5851	59	24	systems	system	NOUN
ejpam-5851	59	25	.	.	PUNCT
ejpam-5851	60	1	2	2	X
ejpam-5851	60	2	.	.	NUM
ejpam-5851	60	3	related	relate	VERB
ejpam-5851	60	4	works	work	NOUN
ejpam-5851	60	5	this	this	DET
ejpam-5851	60	6	article	article	NOUN
ejpam-5851	60	7	explores	explore	VERB
ejpam-5851	60	8	solutions	solution	NOUN
ejpam-5851	60	9	in	in	ADP
ejpam-5851	60	10	the	the	DET
ejpam-5851	60	11	form	form	NOUN
ejpam-5851	60	12	of	of	ADP
ejpam-5851	60	13	soliton	soliton	NOUN
ejpam-5851	60	14	waves	wave	NOUN
ejpam-5851	60	15	for	for	ADP
ejpam-5851	60	16	the	the	DET
ejpam-5851	60	17	ae	ae	PROPN
ejpam-5851	60	18	with	with	ADP
ejpam-5851	60	19	the	the	DET
ejpam-5851	60	20	use	use	NOUN
ejpam-5851	60	21	of	of	ADP
ejpam-5851	60	22	the	the	DET
ejpam-5851	60	23	hirota	hirota	PROPN
ejpam-5851	60	24	bilinear	bilinear	NOUN
ejpam-5851	60	25	transformation	transformation	NOUN
ejpam-5851	60	26	technique	technique	NOUN
ejpam-5851	60	27	.	.	PUNCT
ejpam-5851	61	1	this	this	DET
ejpam-5851	61	2	approach	approach	NOUN
ejpam-5851	61	3	is	be	AUX
ejpam-5851	61	4	fundamental	fundamental	ADJ
ejpam-5851	61	5	in	in	ADP
ejpam-5851	61	6	the	the	DET
ejpam-5851	61	7	study	study	NOUN
ejpam-5851	61	8	of	of	ADP
ejpam-5851	61	9	solitons	soliton	NOUN
ejpam-5851	61	10	and	and	CCONJ
ejpam-5851	61	11	has	have	AUX
ejpam-5851	61	12	been	be	AUX
ejpam-5851	61	13	employed	employ	VERB
ejpam-5851	61	14	by	by	ADP
ejpam-5851	61	15	numerous	numerous	ADJ
ejpam-5851	61	16	investigators	investigator	NOUN
ejpam-5851	61	17	such	such	ADJ
ejpam-5851	61	18	as	as	ADP
ejpam-5851	61	19	rizvi	rizvi	PROPN
ejpam-5851	61	20	et	et	PROPN
ejpam-5851	61	21	al	al	PROPN
ejpam-5851	61	22	.	.	PUNCT
ejpam-5851	62	1	[	[	X
ejpam-5851	62	2	35	35	NUM
ejpam-5851	62	3	]	]	PUNCT
ejpam-5851	62	4	,	,	PUNCT
ejpam-5851	62	5	ma	ma	PROPN
ejpam-5851	62	6	et	et	PROPN
ejpam-5851	62	7	al	al	PROPN
ejpam-5851	62	8	.	.	PUNCT
ejpam-5851	63	1	[	[	X
ejpam-5851	63	2	36	36	NUM
ejpam-5851	63	3	]	]	PUNCT
ejpam-5851	63	4	,	,	PUNCT
ejpam-5851	63	5	ma	ma	PROPN
ejpam-5851	63	6	and	and	CCONJ
ejpam-5851	63	7	li	li	PROPN
ejpam-5851	64	1	[	[	X
ejpam-5851	64	2	37	37	NUM
ejpam-5851	64	3	]	]	PUNCT
ejpam-5851	64	4	,	,	PUNCT
ejpam-5851	64	5	khan	khan	PROPN
ejpam-5851	64	6	and	and	CCONJ
ejpam-5851	64	7	wazwaz	wazwaz	NOUN
ejpam-5851	64	8	[	[	X
ejpam-5851	64	9	38	38	NUM
ejpam-5851	64	10	]	]	PUNCT
ejpam-5851	64	11	,	,	PUNCT
ejpam-5851	64	12	ahmed	ahmed	PROPN
ejpam-5851	64	13	et	et	PROPN
ejpam-5851	64	14	al	al	PROPN
ejpam-5851	64	15	.	.	PUNCT
ejpam-5851	65	1	[	[	X
ejpam-5851	65	2	39	39	NUM
ejpam-5851	65	3	]	]	PUNCT
ejpam-5851	65	4	,	,	PUNCT
ejpam-5851	65	5	ceesay	ceesay	VERB
ejpam-5851	65	6	et	et	PROPN
ejpam-5851	65	7	al	al	PROPN
ejpam-5851	65	8	.	.	PUNCT
ejpam-5851	66	1	[	[	X
ejpam-5851	66	2	40	40	NUM
ejpam-5851	66	3	]	]	PUNCT
ejpam-5851	66	4	,	,	PUNCT
ejpam-5851	66	5	wang	wang	PROPN
ejpam-5851	66	6	et	et	PROPN
ejpam-5851	66	7	al	al	PROPN
ejpam-5851	66	8	.	.	PUNCT
ejpam-5851	67	1	[	[	X
ejpam-5851	67	2	41	41	NUM
ejpam-5851	67	3	]	]	PUNCT
ejpam-5851	67	4	,	,	PUNCT
ejpam-5851	67	5	yan	yan	PROPN
ejpam-5851	67	6	et	et	PROPN
ejpam-5851	67	7	al	al	PROPN
ejpam-5851	67	8	.	.	PUNCT
ejpam-5851	68	1	[	[	X
ejpam-5851	68	2	42	42	NUM
ejpam-5851	68	3	]	]	PUNCT
ejpam-5851	68	4	,	,	PUNCT
ejpam-5851	68	5	kumar	kumar	PROPN
ejpam-5851	68	6	and	and	CCONJ
ejpam-5851	68	7	mohan	mohan	PROPN
ejpam-5851	69	1	[	[	X
ejpam-5851	69	2	43	43	NUM
ejpam-5851	69	3	]	]	PUNCT
ejpam-5851	69	4	,	,	PUNCT
ejpam-5851	69	5	alsallami	alsallami	PROPN
ejpam-5851	69	6	et	et	PROPN
ejpam-5851	69	7	al	al	PROPN
ejpam-5851	69	8	.	.	PUNCT
ejpam-5851	70	1	[	[	X
ejpam-5851	70	2	44	44	NUM
ejpam-5851	70	3	]	]	PUNCT
ejpam-5851	70	4	and	and	CCONJ
ejpam-5851	70	5	many	many	ADJ
ejpam-5851	70	6	other	other	ADJ
ejpam-5851	70	7	researchers	researcher	NOUN
ejpam-5851	70	8	.	.	PUNCT
ejpam-5851	71	1	these	these	DET
ejpam-5851	71	2	investigators	investigator	NOUN
ejpam-5851	71	3	were	be	AUX
ejpam-5851	71	4	able	able	ADJ
ejpam-5851	71	5	to	to	PART
ejpam-5851	71	6	derive	derive	VERB
ejpam-5851	71	7	numerous	numerous	ADJ
ejpam-5851	71	8	wave	wave	NOUN
ejpam-5851	71	9	solutions	solution	NOUN
ejpam-5851	71	10	such	such	ADJ
ejpam-5851	71	11	as	as	ADP
ejpam-5851	71	12	one	one	NUM
ejpam-5851	71	13	and	and	CCONJ
ejpam-5851	71	14	two	two	NUM
ejpam-5851	71	15	solitons	soliton	NOUN
ejpam-5851	71	16	,	,	PUNCT
ejpam-5851	71	17	lump	lump	NOUN
ejpam-5851	71	18	,	,	PUNCT
ejpam-5851	71	19	breather	breather	NOUN
ejpam-5851	71	20	,	,	PUNCT
ejpam-5851	71	21	periodic	periodic	ADJ
ejpam-5851	71	22	wave	wave	NOUN
ejpam-5851	71	23	,	,	PUNCT
ejpam-5851	71	24	cross	cross	NOUN
ejpam-5851	71	25	kink	kink	PROPN
ejpam-5851	71	26	,	,	PUNCT
ejpam-5851	71	27	periodic	periodic	ADJ
ejpam-5851	71	28	cross	cross	NOUN
ejpam-5851	71	29	kink	kink	PROPN
ejpam-5851	71	30	,	,	PUNCT
ejpam-5851	71	31	multiple	multiple	ADJ
ejpam-5851	71	32	wave	wave	NOUN
ejpam-5851	71	33	,	,	PUNCT
ejpam-5851	71	34	mixed	mixed	ADJ
ejpam-5851	71	35	waves	wave	NOUN
ejpam-5851	71	36	,	,	PUNCT
ejpam-5851	71	37	m	m	NOUN
ejpam-5851	71	38	-	-	PUNCT
ejpam-5851	71	39	shaped	shape	VERB
ejpam-5851	71	40	waves	wave	NOUN
ejpam-5851	71	41	and	and	CCONJ
ejpam-5851	71	42	others	other	NOUN
ejpam-5851	71	43	.	.	PUNCT
ejpam-5851	72	1	recently	recently	ADV
ejpam-5851	72	2	,	,	PUNCT
ejpam-5851	72	3	some	some	DET
ejpam-5851	72	4	reports	report	NOUN
ejpam-5851	72	5	have	have	AUX
ejpam-5851	72	6	focused	focus	VERB
ejpam-5851	72	7	on	on	ADP
ejpam-5851	72	8	the	the	DET
ejpam-5851	72	9	ae	ae	PROPN
ejpam-5851	72	10	,	,	PUNCT
ejpam-5851	72	11	and	and	CCONJ
ejpam-5851	72	12	attempts	attempt	NOUN
ejpam-5851	72	13	have	have	AUX
ejpam-5851	72	14	been	be	AUX
ejpam-5851	72	15	made	make	VERB
ejpam-5851	72	16	to	to	PART
ejpam-5851	72	17	address	address	VERB
ejpam-5851	72	18	some	some	PRON
ejpam-5851	72	19	of	of	ADP
ejpam-5851	72	20	its	its	PRON
ejpam-5851	72	21	important	important	ADJ
ejpam-5851	72	22	facets	facet	NOUN
ejpam-5851	72	23	.	.	PUNCT
ejpam-5851	73	1	for	for	ADP
ejpam-5851	73	2	instance	instance	NOUN
ejpam-5851	73	3	,	,	PUNCT
ejpam-5851	73	4	by	by	ADP
ejpam-5851	73	5	employing	employ	VERB
ejpam-5851	73	6	the	the	DET
ejpam-5851	73	7	new	new	ADJ
ejpam-5851	73	8	extended	extended	ADJ
ejpam-5851	73	9	auxiliary	auxiliary	ADJ
ejpam-5851	73	10	equation	equation	NOUN
ejpam-5851	73	11	method	method	NOUN
ejpam-5851	73	12	,	,	PUNCT
ejpam-5851	73	13	mathanaranjan	mathanaranjan	NOUN
ejpam-5851	73	14	and	and	CCONJ
ejpam-5851	73	15	myrzakulov	myrzakulov	NOUN
ejpam-5851	73	16	[	[	X
ejpam-5851	73	17	45	45	NUM
ejpam-5851	73	18	]	]	PUNCT
ejpam-5851	73	19	obtained	obtain	VERB
ejpam-5851	73	20	jacobi	jacobi	PROPN
ejpam-5851	73	21	elliptic	elliptic	ADJ
ejpam-5851	73	22	functions	function	NOUN
ejpam-5851	73	23	solutions	solution	NOUN
ejpam-5851	73	24	in	in	ADP
ejpam-5851	73	25	the	the	DET
ejpam-5851	73	26	forms	form	NOUN
ejpam-5851	73	27	of	of	ADP
ejpam-5851	73	28	dark	dark	ADJ
ejpam-5851	73	29	,	,	PUNCT
ejpam-5851	73	30	bright	bright	ADJ
ejpam-5851	73	31	,	,	PUNCT
ejpam-5851	73	32	singular	singular	NOUN
ejpam-5851	73	33	and	and	CCONJ
ejpam-5851	73	34	singular	singular	ADJ
ejpam-5851	73	35	periodic	periodic	ADJ
ejpam-5851	73	36	solitons	soliton	NOUN
ejpam-5851	73	37	in	in	ADP
ejpam-5851	73	38	their	their	PRON
ejpam-5851	73	39	limit	limit	NOUN
ejpam-5851	73	40	conditions	condition	NOUN
ejpam-5851	73	41	for	for	ADP
ejpam-5851	73	42	the	the	DET
ejpam-5851	73	43	ae	ae	PROPN
ejpam-5851	73	44	.	.	PUNCT
ejpam-5851	74	1	kong	kong	PROPN
ejpam-5851	74	2	and	and	CCONJ
ejpam-5851	74	3	guo	guo	PROPN
ejpam-5851	75	1	[	[	X
ejpam-5851	75	2	46	46	NUM
ejpam-5851	75	3	]	]	PUNCT
ejpam-5851	75	4	used	use	VERB
ejpam-5851	75	5	the	the	DET
ejpam-5851	75	6	j	j	PROPN
ejpam-5851	75	7	-	-	ADJ
ejpam-5851	75	8	fold	fold	ADJ
ejpam-5851	75	9	darboux	darboux	VERB
ejpam-5851	75	10	transformation	transformation	NOUN
ejpam-5851	75	11	to	to	PART
ejpam-5851	75	12	explore	explore	VERB
ejpam-5851	75	13	this	this	DET
ejpam-5851	75	14	equation	equation	NOUN
ejpam-5851	75	15	and	and	CCONJ
ejpam-5851	75	16	were	be	AUX
ejpam-5851	75	17	able	able	ADJ
ejpam-5851	75	18	extract	extract	VERB
ejpam-5851	75	19	one	one	NUM
ejpam-5851	75	20	and	and	CCONJ
ejpam-5851	75	21	two	two	NUM
ejpam-5851	75	22	breather	breather	NOUN
ejpam-5851	75	23	,	,	PUNCT
ejpam-5851	75	24	rogue	rogue	NOUN
ejpam-5851	75	25	and	and	CCONJ
ejpam-5851	75	26	semi	semi	ADJ
ejpam-5851	75	27	-	-	ADJ
ejpam-5851	75	28	rational	rational	ADJ
ejpam-5851	75	29	waves	wave	NOUN
ejpam-5851	75	30	solutions	solution	NOUN
ejpam-5851	75	31	.	.	PUNCT
ejpam-5851	76	1	among	among	ADP
ejpam-5851	76	2	other	other	ADJ
ejpam-5851	76	3	recent	recent	ADJ
ejpam-5851	76	4	efforts	effort	NOUN
ejpam-5851	76	5	[	[	X
ejpam-5851	76	6	47	47	NUM
ejpam-5851	76	7	,	,	PUNCT
ejpam-5851	76	8	48	48	NUM
ejpam-5851	76	9	]	]	PUNCT
ejpam-5851	76	10	,	,	PUNCT
ejpam-5851	76	11	li	li	PROPN
ejpam-5851	76	12	and	and	CCONJ
ejpam-5851	76	13	zhao	zhao	PROPN
ejpam-5851	76	14	[	[	X
ejpam-5851	76	15	49	49	NUM
ejpam-5851	76	16	]	]	PUNCT
ejpam-5851	76	17	examined	examine	VERB
ejpam-5851	76	18	the	the	DET
ejpam-5851	76	19	ae	ae	PROPN
ejpam-5851	76	20	utilizing	utilize	VERB
ejpam-5851	76	21	the	the	DET
ejpam-5851	76	22	analysis	analysis	NOUN
ejpam-5851	76	23	method	method	NOUN
ejpam-5851	76	24	of	of	ADP
ejpam-5851	76	25	planar	planar	ADJ
ejpam-5851	76	26	dynamic	dynamic	ADJ
ejpam-5851	76	27	system	system	NOUN
ejpam-5851	76	28	.	.	PUNCT
ejpam-5851	77	1	they	they	PRON
ejpam-5851	77	2	obtained	obtain	VERB
ejpam-5851	77	3	solitary	solitary	ADJ
ejpam-5851	77	4	wave	wave	NOUN
ejpam-5851	77	5	solutions	solution	NOUN
ejpam-5851	77	6	for	for	ADP
ejpam-5851	77	7	this	this	DET
ejpam-5851	77	8	equation	equation	NOUN
ejpam-5851	77	9	and	and	CCONJ
ejpam-5851	77	10	also	also	ADV
ejpam-5851	77	11	obtain	obtain	VERB
ejpam-5851	77	12	the	the	DET
ejpam-5851	77	13	dynamic	dynamic	ADJ
ejpam-5851	77	14	behavior	behavior	NOUN
ejpam-5851	77	15	of	of	ADP
ejpam-5851	77	16	the	the	DET
ejpam-5851	77	17	two	two	NUM
ejpam-5851	77	18	-	-	PUNCT
ejpam-5851	77	19	dimensional	dimensional	ADJ
ejpam-5851	77	20	dynamical	dynamical	ADJ
ejpam-5851	77	21	system	system	NOUN
ejpam-5851	77	22	.	.	PUNCT
ejpam-5851	78	1	by	by	ADP
ejpam-5851	78	2	means	mean	VERB
ejpam-5851	78	3	b.	b.	PROPN
ejpam-5851	78	4	ceesay	ceesay	PROPN
ejpam-5851	78	5	et	et	PROPN
ejpam-5851	78	6	al	al	PROPN
ejpam-5851	78	7	.	.	PUNCT
ejpam-5851	78	8	/	/	SYM
ejpam-5851	78	9	eur	eur	PROPN
ejpam-5851	78	10	.	.	PUNCT
ejpam-5851	79	1	j.	j.	PROPN
ejpam-5851	79	2	pure	pure	PROPN
ejpam-5851	79	3	appl	appl	PROPN
ejpam-5851	79	4	.	.	PROPN
ejpam-5851	79	5	math	math	PROPN
ejpam-5851	79	6	,	,	PUNCT
ejpam-5851	79	7	18	18	NUM
ejpam-5851	79	8	(	(	PUNCT
ejpam-5851	79	9	2	2	NUM
ejpam-5851	79	10	)	)	PUNCT
ejpam-5851	79	11	(	(	PUNCT
ejpam-5851	79	12	2025	2025	NUM
ejpam-5851	79	13	)	)	PUNCT
ejpam-5851	79	14	,	,	PUNCT
ejpam-5851	79	15	5851	5851	NUM
ejpam-5851	79	16	4	4	NUM
ejpam-5851	79	17	of	of	ADP
ejpam-5851	79	18	32	32	NUM
ejpam-5851	79	19	define	define	VERB
ejpam-5851	79	20	the	the	DET
ejpam-5851	79	21	nlpde	nlpde	NOUN
ejpam-5851	79	22	apply	apply	VERB
ejpam-5851	79	23	wave	wave	NOUN
ejpam-5851	79	24	transformation	transformation	NOUN
ejpam-5851	79	25	converts	convert	NOUN
ejpam-5851	79	26	nlpde	nlpde	NOUN
ejpam-5851	79	27	into	into	ADP
ejpam-5851	79	28	ode	ode	ADJ
ejpam-5851	79	29	simplify	simplify	NOUN
ejpam-5851	79	30	and	and	CCONJ
ejpam-5851	79	31	solve	solve	VERB
ejpam-5851	79	32	ode	ode	PROPN
ejpam-5851	79	33	express	express	VERB
ejpam-5851	79	34	the	the	DET
ejpam-5851	79	35	equation	equation	NOUN
ejpam-5851	79	36	in	in	ADP
ejpam-5851	79	37	suitable	suitable	ADJ
ejpam-5851	79	38	form	form	NOUN
ejpam-5851	79	39	apply	apply	VERB
ejpam-5851	79	40	logarithmic	logarithmic	ADJ
ejpam-5851	79	41	transformation	transformation	NOUN
ejpam-5851	79	42	convert	convert	NOUN
ejpam-5851	79	43	ode	ode	VERB
ejpam-5851	79	44	into	into	ADP
ejpam-5851	79	45	bilinear	bilinear	NOUN
ejpam-5851	79	46	form	form	NOUN
ejpam-5851	79	47	use	use	VERB
ejpam-5851	79	48	various	various	ADJ
ejpam-5851	79	49	ansatz	ansatz	ADJ
ejpam-5851	79	50	wave	wave	NOUN
ejpam-5851	79	51	functions	function	NOUN
ejpam-5851	79	52	construct	construct	VERB
ejpam-5851	79	53	soliton	soliton	NOUN
ejpam-5851	79	54	-	-	PUNCT
ejpam-5851	79	55	like	like	ADJ
ejpam-5851	79	56	solutions	solution	NOUN
ejpam-5851	79	57	identify	identify	VERB
ejpam-5851	79	58	and	and	CCONJ
ejpam-5851	79	59	classify	classify	VERB
ejpam-5851	79	60	wave	wave	NOUN
ejpam-5851	79	61	solutions	solution	NOUN
ejpam-5851	79	62	generate	generate	VERB
ejpam-5851	79	63	3d	3d	NOUN
ejpam-5851	79	64	,	,	PUNCT
ejpam-5851	79	65	contour	contour	NOUN
ejpam-5851	79	66	and	and	CCONJ
ejpam-5851	79	67	density	density	NOUN
ejpam-5851	79	68	plots	plot	NOUN
ejpam-5851	79	69	analyze	analyze	VERB
ejpam-5851	79	70	properties	property	NOUN
ejpam-5851	79	71	and	and	CCONJ
ejpam-5851	79	72	compare	compare	VERB
ejpam-5851	79	73	with	with	ADP
ejpam-5851	79	74	existing	exist	VERB
ejpam-5851	79	75	techniques	technique	NOUN
ejpam-5851	79	76	figure	figure	NOUN
ejpam-5851	79	77	1	1	NUM
ejpam-5851	79	78	:	:	PUNCT
ejpam-5851	79	79	flowchart	flowchart	NOUN
ejpam-5851	79	80	of	of	ADP
ejpam-5851	79	81	the	the	DET
ejpam-5851	79	82	methodology	methodology	NOUN
ejpam-5851	79	83	and	and	CCONJ
ejpam-5851	79	84	solution	solution	NOUN
ejpam-5851	79	85	derivation	derivation	NOUN
ejpam-5851	79	86	process	process	NOUN
ejpam-5851	79	87	.	.	PUNCT
ejpam-5851	80	1	of	of	ADP
ejpam-5851	80	2	the	the	DET
ejpam-5851	80	3	modified	modify	VERB
ejpam-5851	80	4	khater	khater	NOUN
ejpam-5851	80	5	method	method	NOUN
ejpam-5851	80	6	and	and	CCONJ
ejpam-5851	80	7	sardar	sardar	PROPN
ejpam-5851	80	8	sub	sub	ADJ
ejpam-5851	80	9	-	-	ADJ
ejpam-5851	80	10	equation	equation	NOUN
ejpam-5851	80	11	method	method	NOUN
ejpam-5851	80	12	,	,	PUNCT
ejpam-5851	80	13	tariq	tariq	PROPN
ejpam-5851	80	14	et	et	PROPN
ejpam-5851	80	15	al	al	PROPN
ejpam-5851	80	16	.	.	PUNCT
ejpam-5851	81	1	[	[	X
ejpam-5851	81	2	50	50	NUM
ejpam-5851	81	3	]	]	PUNCT
ejpam-5851	81	4	studied	study	VERB
ejpam-5851	81	5	the	the	DET
ejpam-5851	81	6	ae	ae	PROPN
ejpam-5851	81	7	and	and	CCONJ
ejpam-5851	81	8	obtained	obtain	VERB
ejpam-5851	81	9	trigonometric	trigonometric	ADJ
ejpam-5851	81	10	,	,	PUNCT
ejpam-5851	81	11	hyperbolic	hyperbolic	ADJ
ejpam-5851	81	12	and	and	CCONJ
ejpam-5851	81	13	rational	rational	ADJ
ejpam-5851	81	14	functions	function	NOUN
ejpam-5851	81	15	solutions	solution	NOUN
ejpam-5851	81	16	.	.	PUNCT
ejpam-5851	82	1	they	they	PRON
ejpam-5851	82	2	also	also	ADV
ejpam-5851	82	3	studied	study	VERB
ejpam-5851	82	4	the	the	DET
ejpam-5851	82	5	bifurcation	bifurcation	NOUN
ejpam-5851	82	6	and	and	CCONJ
ejpam-5851	82	7	sensitivity	sensitivity	NOUN
ejpam-5851	82	8	analyses	analysis	NOUN
ejpam-5851	82	9	of	of	ADP
ejpam-5851	82	10	the	the	DET
ejpam-5851	82	11	equation	equation	NOUN
ejpam-5851	82	12	and	and	CCONJ
ejpam-5851	82	13	showed	show	VERB
ejpam-5851	82	14	that	that	SCONJ
ejpam-5851	82	15	the	the	DET
ejpam-5851	82	16	chaotic	chaotic	ADJ
ejpam-5851	82	17	system	system	NOUN
ejpam-5851	82	18	portrays	portray	VERB
ejpam-5851	82	19	both	both	CCONJ
ejpam-5851	82	20	stable	stable	ADJ
ejpam-5851	82	21	and	and	CCONJ
ejpam-5851	82	22	unstable	unstable	ADJ
ejpam-5851	82	23	behaviors	behavior	NOUN
ejpam-5851	82	24	.	.	PUNCT
ejpam-5851	83	1	in	in	ADP
ejpam-5851	83	2	their	their	PRON
ejpam-5851	83	3	work	work	NOUN
ejpam-5851	83	4	,	,	PUNCT
ejpam-5851	83	5	awadalla	awadalla	PROPN
ejpam-5851	83	6	et	et	NOUN
ejpam-5851	83	7	al	al	PROPN
ejpam-5851	83	8	.	.	PUNCT
ejpam-5851	84	1	[	[	X
ejpam-5851	84	2	51	51	NUM
ejpam-5851	84	3	]	]	PUNCT
ejpam-5851	84	4	reached	reach	VERB
ejpam-5851	84	5	various	various	ADJ
ejpam-5851	84	6	forms	form	NOUN
ejpam-5851	84	7	of	of	ADP
ejpam-5851	84	8	solutions	solution	NOUN
ejpam-5851	84	9	for	for	ADP
ejpam-5851	84	10	the	the	DET
ejpam-5851	84	11	ae	ae	PROPN
ejpam-5851	84	12	such	such	ADJ
ejpam-5851	84	13	as	as	ADP
ejpam-5851	84	14	bright	bright	ADJ
ejpam-5851	84	15	,	,	PUNCT
ejpam-5851	84	16	dark	dark	ADJ
ejpam-5851	84	17	and	and	CCONJ
ejpam-5851	84	18	periodic	periodic	ADJ
ejpam-5851	84	19	solitons	soliton	NOUN
ejpam-5851	84	20	,	,	PUNCT
ejpam-5851	84	21	by	by	ADP
ejpam-5851	84	22	employing	employ	VERB
ejpam-5851	84	23	numerous	numerous	ADJ
ejpam-5851	84	24	analytical	analytical	ADJ
ejpam-5851	84	25	techniques	technique	NOUN
ejpam-5851	84	26	.	.	PUNCT
ejpam-5851	85	1	faridi	faridi	PROPN
ejpam-5851	85	2	et	et	PROPN
ejpam-5851	85	3	al	al	PROPN
ejpam-5851	85	4	.	.	PUNCT
ejpam-5851	86	1	[	[	X
ejpam-5851	86	2	52	52	NUM
ejpam-5851	86	3	]	]	PUNCT
ejpam-5851	86	4	applied	apply	VERB
ejpam-5851	86	5	different	different	ADJ
ejpam-5851	86	6	techniques	technique	NOUN
ejpam-5851	86	7	to	to	PART
ejpam-5851	86	8	investigate	investigate	VERB
ejpam-5851	86	9	this	this	DET
ejpam-5851	86	10	equation	equation	NOUN
ejpam-5851	86	11	.	.	PUNCT
ejpam-5851	87	1	they	they	PRON
ejpam-5851	87	2	extracted	extract	VERB
ejpam-5851	87	3	solitons	soliton	NOUN
ejpam-5851	87	4	solutions	solution	NOUN
ejpam-5851	87	5	such	such	ADJ
ejpam-5851	87	6	as	as	ADP
ejpam-5851	87	7	dark	dark	ADJ
ejpam-5851	87	8	,	,	PUNCT
ejpam-5851	87	9	bright	bright	ADJ
ejpam-5851	87	10	,	,	PUNCT
ejpam-5851	87	11	singular	singular	PROPN
ejpam-5851	87	12	,	,	PUNCT
ejpam-5851	87	13	singular	singular	PROPN
ejpam-5851	87	14	periodic	periodic	NOUN
ejpam-5851	87	15	,	,	PUNCT
ejpam-5851	87	16	trigonometric	trigonometric	ADJ
ejpam-5851	87	17	,	,	PUNCT
ejpam-5851	87	18	and	and	CCONJ
ejpam-5851	87	19	hyperbolic	hyperbolic	ADJ
ejpam-5851	87	20	waves	wave	NOUN
ejpam-5851	87	21	.	.	PUNCT
ejpam-5851	88	1	still	still	ADV
ejpam-5851	88	2	,	,	PUNCT
ejpam-5851	88	3	there	there	PRON
ejpam-5851	88	4	was	be	VERB
ejpam-5851	88	5	a	a	DET
ejpam-5851	88	6	dearth	dearth	NOUN
ejpam-5851	88	7	of	of	ADP
ejpam-5851	88	8	literature	literature	NOUN
ejpam-5851	88	9	on	on	ADP
ejpam-5851	88	10	a	a	DET
ejpam-5851	88	11	number	number	NOUN
ejpam-5851	88	12	of	of	ADP
ejpam-5851	88	13	important	important	ADJ
ejpam-5851	88	14	and	and	CCONJ
ejpam-5851	88	15	widespread	widespread	ADJ
ejpam-5851	88	16	forms	form	NOUN
ejpam-5851	88	17	of	of	ADP
ejpam-5851	88	18	solitons	soliton	NOUN
ejpam-5851	88	19	for	for	ADP
ejpam-5851	88	20	the	the	DET
ejpam-5851	88	21	ae	ae	PROPN
ejpam-5851	88	22	.	.	PUNCT
ejpam-5851	89	1	to	to	PART
ejpam-5851	89	2	close	close	VERB
ejpam-5851	89	3	this	this	DET
ejpam-5851	89	4	gap	gap	NOUN
ejpam-5851	89	5	,	,	PUNCT
ejpam-5851	89	6	this	this	DET
ejpam-5851	89	7	work	work	NOUN
ejpam-5851	89	8	embark	embark	NOUN
ejpam-5851	89	9	on	on	ADP
ejpam-5851	89	10	establishing	establish	VERB
ejpam-5851	89	11	different	different	ADJ
ejpam-5851	89	12	sorts	sort	NOUN
ejpam-5851	89	13	of	of	ADP
ejpam-5851	89	14	novel	novel	ADJ
ejpam-5851	89	15	solitons	soliton	NOUN
ejpam-5851	89	16	employing	employ	VERB
ejpam-5851	89	17	the	the	DET
ejpam-5851	89	18	hirota	hirota	PROPN
ejpam-5851	89	19	bilinear	bilinear	NOUN
ejpam-5851	89	20	transformation	transformation	NOUN
ejpam-5851	89	21	approach	approach	NOUN
ejpam-5851	89	22	.	.	PUNCT
ejpam-5851	90	1	to	to	ADP
ejpam-5851	90	2	that	that	DET
ejpam-5851	90	3	end	end	NOUN
ejpam-5851	90	4	,	,	PUNCT
ejpam-5851	90	5	the	the	DET
ejpam-5851	90	6	next	next	ADJ
ejpam-5851	90	7	section	section	NOUN
ejpam-5851	90	8	is	be	AUX
ejpam-5851	90	9	devoted	devote	VERB
ejpam-5851	90	10	to	to	PART
ejpam-5851	90	11	recall	recall	VERB
ejpam-5851	90	12	briefly	briefly	ADV
ejpam-5851	90	13	this	this	DET
ejpam-5851	90	14	methodology	methodology	NOUN
ejpam-5851	90	15	.	.	PUNCT
ejpam-5851	91	1	the	the	DET
ejpam-5851	91	2	subsequent	subsequent	ADJ
ejpam-5851	91	3	sections	section	NOUN
ejpam-5851	91	4	will	will	AUX
ejpam-5851	91	5	report	report	VERB
ejpam-5851	91	6	on	on	ADP
ejpam-5851	91	7	particular	particular	ADJ
ejpam-5851	91	8	types	type	NOUN
ejpam-5851	91	9	of	of	ADP
ejpam-5851	91	10	solutions	solution	NOUN
ejpam-5851	91	11	for	for	ADP
ejpam-5851	91	12	the	the	DET
ejpam-5851	91	13	mathematical	mathematical	ADJ
ejpam-5851	91	14	model	model	NOUN
ejpam-5851	91	15	under	under	ADP
ejpam-5851	91	16	investigation	investigation	NOUN
ejpam-5851	91	17	.	.	PUNCT
ejpam-5851	92	1	3	3	X
ejpam-5851	92	2	.	.	X
ejpam-5851	92	3	materials	material	NOUN
ejpam-5851	92	4	and	and	CCONJ
ejpam-5851	92	5	methods	method	NOUN
ejpam-5851	92	6	the	the	DET
ejpam-5851	92	7	hirota	hirota	PROPN
ejpam-5851	92	8	bilinear	bilinear	NOUN
ejpam-5851	92	9	transformation	transformation	NOUN
ejpam-5851	92	10	technique	technique	NOUN
ejpam-5851	92	11	is	be	AUX
ejpam-5851	92	12	a	a	DET
ejpam-5851	92	13	helpful	helpful	ADJ
ejpam-5851	92	14	tool	tool	NOUN
ejpam-5851	92	15	in	in	ADP
ejpam-5851	92	16	solving	solve	VERB
ejpam-5851	92	17	nlpdes	nlpde	NOUN
ejpam-5851	92	18	by	by	ADP
ejpam-5851	92	19	transforming	transform	VERB
ejpam-5851	92	20	them	they	PRON
ejpam-5851	92	21	into	into	ADP
ejpam-5851	92	22	a	a	DET
ejpam-5851	92	23	bilinear	bilinear	NOUN
ejpam-5851	92	24	equation	equation	NOUN
ejpam-5851	92	25	.	.	PUNCT
ejpam-5851	93	1	it	it	PRON
ejpam-5851	93	2	also	also	ADV
ejpam-5851	93	3	involved	involve	VERB
ejpam-5851	93	4	assuming	assume	VERB
ejpam-5851	93	5	ansatz	ansatz	ADJ
ejpam-5851	93	6	wave	wave	NOUN
ejpam-5851	93	7	functions	function	NOUN
ejpam-5851	93	8	in	in	ADP
ejpam-5851	93	9	the	the	DET
ejpam-5851	93	10	form	form	NOUN
ejpam-5851	93	11	of	of	ADP
ejpam-5851	93	12	exponential	exponential	NOUN
ejpam-5851	93	13	,	,	PUNCT
ejpam-5851	93	14	polynomial	polynomial	ADJ
ejpam-5851	93	15	,	,	PUNCT
ejpam-5851	93	16	trigonometric	trigonometric	ADJ
ejpam-5851	93	17	,	,	PUNCT
ejpam-5851	93	18	or	or	CCONJ
ejpam-5851	93	19	hyperbolic	hyperbolic	ADJ
ejpam-5851	93	20	functions	function	NOUN
ejpam-5851	93	21	and	and	CCONJ
ejpam-5851	93	22	solving	solve	VERB
ejpam-5851	94	1	the	the	DET
ejpam-5851	94	2	derived	derive	VERB
ejpam-5851	94	3	b.	b.	PROPN
ejpam-5851	95	1	ceesay	ceesay	PROPN
ejpam-5851	95	2	et	et	PROPN
ejpam-5851	95	3	al	al	PROPN
ejpam-5851	95	4	.	.	PUNCT
ejpam-5851	95	5	/	/	SYM
ejpam-5851	95	6	eur	eur	PROPN
ejpam-5851	95	7	.	.	PUNCT
ejpam-5851	96	1	j.	j.	PROPN
ejpam-5851	96	2	pure	pure	PROPN
ejpam-5851	96	3	appl	appl	PROPN
ejpam-5851	96	4	.	.	PROPN
ejpam-5851	96	5	math	math	PROPN
ejpam-5851	96	6	,	,	PUNCT
ejpam-5851	96	7	18	18	NUM
ejpam-5851	96	8	(	(	PUNCT
ejpam-5851	96	9	2	2	NUM
ejpam-5851	96	10	)	)	PUNCT
ejpam-5851	96	11	(	(	PUNCT
ejpam-5851	96	12	2025	2025	NUM
ejpam-5851	96	13	)	)	PUNCT
ejpam-5851	96	14	,	,	PUNCT
ejpam-5851	96	15	5851	5851	NUM
ejpam-5851	96	16	5	5	NUM
ejpam-5851	96	17	of	of	ADP
ejpam-5851	96	18	32	32	NUM
ejpam-5851	96	19	bilinear	bilinear	NOUN
ejpam-5851	96	20	equations	equation	NOUN
ejpam-5851	96	21	to	to	PART
ejpam-5851	96	22	obtain	obtain	VERB
ejpam-5851	96	23	exact	exact	ADJ
ejpam-5851	96	24	solutions	solution	NOUN
ejpam-5851	96	25	.	.	PUNCT
ejpam-5851	97	1	for	for	ADP
ejpam-5851	97	2	the	the	DET
ejpam-5851	97	3	heisenberg	heisenberg	PROPN
ejpam-5851	97	4	ferromagnet	ferromagnet	NOUN
ejpam-5851	97	5	-	-	PUNCT
ejpam-5851	97	6	type	type	NOUN
ejpam-5851	97	7	ae	ae	PROPN
ejpam-5851	97	8	,	,	PUNCT
ejpam-5851	97	9	the	the	DET
ejpam-5851	97	10	hirota	hirota	PROPN
ejpam-5851	97	11	bilinear	bilinear	NOUN
ejpam-5851	97	12	transformation	transformation	NOUN
ejpam-5851	97	13	is	be	AUX
ejpam-5851	97	14	implemented	implement	VERB
ejpam-5851	97	15	by	by	ADP
ejpam-5851	97	16	first	first	ADV
ejpam-5851	97	17	converting	convert	VERB
ejpam-5851	97	18	the	the	DET
ejpam-5851	97	19	equation	equation	NOUN
ejpam-5851	97	20	to	to	ADP
ejpam-5851	97	21	an	an	DET
ejpam-5851	97	22	ode	ode	NOUN
ejpam-5851	97	23	via	via	ADP
ejpam-5851	97	24	a	a	DET
ejpam-5851	97	25	wave	wave	NOUN
ejpam-5851	97	26	transformation	transformation	NOUN
ejpam-5851	97	27	.	.	PUNCT
ejpam-5851	98	1	the	the	DET
ejpam-5851	98	2	logarithmic	logarithmic	ADJ
ejpam-5851	98	3	transformation	transformation	NOUN
ejpam-5851	98	4	is	be	AUX
ejpam-5851	98	5	utilized	utilize	VERB
ejpam-5851	98	6	to	to	PART
ejpam-5851	98	7	transform	transform	VERB
ejpam-5851	98	8	the	the	DET
ejpam-5851	98	9	ode	ode	NOUN
ejpam-5851	98	10	to	to	ADP
ejpam-5851	98	11	its	its	PRON
ejpam-5851	98	12	bilinear	bilinear	NOUN
ejpam-5851	98	13	form	form	NOUN
ejpam-5851	98	14	.	.	PUNCT
ejpam-5851	99	1	the	the	DET
ejpam-5851	99	2	generated	generate	VERB
ejpam-5851	99	3	system	system	NOUN
ejpam-5851	99	4	is	be	AUX
ejpam-5851	99	5	solved	solve	VERB
ejpam-5851	99	6	to	to	PART
ejpam-5851	99	7	derive	derive	VERB
ejpam-5851	99	8	wave	wave	NOUN
ejpam-5851	99	9	solutions	solution	NOUN
ejpam-5851	99	10	such	such	ADJ
ejpam-5851	99	11	as	as	ADP
ejpam-5851	99	12	periodic	periodic	ADJ
ejpam-5851	99	13	lump	lump	NOUN
ejpam-5851	99	14	waves	wave	NOUN
ejpam-5851	99	15	,	,	PUNCT
ejpam-5851	99	16	homoclinic	homoclinic	ADJ
ejpam-5851	99	17	breather	breather	NOUN
ejpam-5851	99	18	waves	wave	NOUN
ejpam-5851	99	19	,	,	PUNCT
ejpam-5851	99	20	and	and	CCONJ
ejpam-5851	99	21	m	m	NOUN
ejpam-5851	99	22	-	-	PUNCT
ejpam-5851	99	23	shaped	shape	VERB
ejpam-5851	99	24	waves	wave	NOUN
ejpam-5851	99	25	.	.	PUNCT
ejpam-5851	100	1	the	the	DET
ejpam-5851	100	2	fact	fact	NOUN
ejpam-5851	100	3	that	that	SCONJ
ejpam-5851	100	4	the	the	DET
ejpam-5851	100	5	method	method	NOUN
ejpam-5851	100	6	provides	provide	VERB
ejpam-5851	100	7	accurate	accurate	ADJ
ejpam-5851	100	8	and	and	CCONJ
ejpam-5851	100	9	physically	physically	ADV
ejpam-5851	100	10	relevant	relevant	ADJ
ejpam-5851	100	11	solutions	solution	NOUN
ejpam-5851	100	12	explains	explain	VERB
ejpam-5851	100	13	why	why	SCONJ
ejpam-5851	100	14	it	it	PRON
ejpam-5851	100	15	is	be	AUX
ejpam-5851	100	16	extremely	extremely	ADV
ejpam-5851	100	17	useful	useful	ADJ
ejpam-5851	100	18	to	to	PART
ejpam-5851	100	19	study	study	VERB
ejpam-5851	100	20	complicated	complicated	ADJ
ejpam-5851	100	21	nonlinear	nonlinear	ADJ
ejpam-5851	100	22	phenomena	phenomenon	NOUN
ejpam-5851	100	23	in	in	ADP
ejpam-5851	100	24	differential	differential	ADJ
ejpam-5851	100	25	geometry	geometry	NOUN
ejpam-5851	100	26	,	,	PUNCT
ejpam-5851	100	27	magnetism	magnetism	NOUN
ejpam-5851	100	28	,	,	PUNCT
ejpam-5851	100	29	and	and	CCONJ
ejpam-5851	100	30	optics	optic	NOUN
ejpam-5851	100	31	.	.	PUNCT
ejpam-5851	101	1	the	the	DET
ejpam-5851	101	2	flowchart	flowchart	NOUN
ejpam-5851	101	3	in	in	ADP
ejpam-5851	101	4	figure	figure	NOUN
ejpam-5851	101	5	1	1	NUM
ejpam-5851	101	6	outlines	outline	VERB
ejpam-5851	101	7	the	the	DET
ejpam-5851	101	8	step	step	NOUN
ejpam-5851	101	9	-	-	PUNCT
ejpam-5851	101	10	by	by	ADP
ejpam-5851	101	11	-	-	PUNCT
ejpam-5851	101	12	step	step	NOUN
ejpam-5851	101	13	process	process	NOUN
ejpam-5851	101	14	of	of	ADP
ejpam-5851	101	15	deriving	derive	VERB
ejpam-5851	101	16	wave	wave	NOUN
ejpam-5851	101	17	solutions	solution	NOUN
ejpam-5851	101	18	using	use	VERB
ejpam-5851	101	19	the	the	DET
ejpam-5851	101	20	hirota	hirota	PROPN
ejpam-5851	101	21	bilinear	bilinear	NOUN
ejpam-5851	101	22	transformation	transformation	NOUN
ejpam-5851	101	23	technique	technique	NOUN
ejpam-5851	101	24	.	.	PUNCT
ejpam-5851	102	1	the	the	DET
ejpam-5851	102	2	following	follow	VERB
ejpam-5851	102	3	steps	step	NOUN
ejpam-5851	102	4	are	be	AUX
ejpam-5851	102	5	involved	involve	VERB
ejpam-5851	102	6	in	in	ADP
ejpam-5851	102	7	the	the	DET
ejpam-5851	102	8	technique	technique	NOUN
ejpam-5851	102	9	:	:	PUNCT
ejpam-5851	102	10	•	•	NUM
ejpam-5851	102	11	step	step	NOUN
ejpam-5851	102	12	1	1	NUM
ejpam-5851	102	13	:	:	PUNCT
ejpam-5851	102	14	consider	consider	VERB
ejpam-5851	102	15	nlpde	nlpde	NOUN
ejpam-5851	102	16	of	of	ADP
ejpam-5851	102	17	the	the	DET
ejpam-5851	102	18	form	form	NOUN
ejpam-5851	102	19	{	{	PUNCT
ejpam-5851	102	20	m(gh	m(gh	PROPN
ejpam-5851	102	21	,	,	PUNCT
ejpam-5851	102	22	g	g	PROPN
ejpam-5851	102	23	,	,	PUNCT
ejpam-5851	102	24	gt	gt	PROPN
ejpam-5851	102	25	,	,	PUNCT
ejpam-5851	102	26	gx	gx	PROPN
ejpam-5851	102	27	,	,	PUNCT
ejpam-5851	102	28	gxx	gxx	NOUN
ejpam-5851	102	29	,	,	PUNCT
ejpam-5851	102	30	hx	hx	PROPN
ejpam-5851	102	31	,	,	PUNCT
ejpam-5851	102	32	.	.	PUNCT
ejpam-5851	102	33	.	.	PUNCT
ejpam-5851	102	34	.	.	PUNCT
ejpam-5851	102	35	)	)	PUNCT
ejpam-5851	103	1	=	=	SYM
ejpam-5851	104	1	0	0	NUM
ejpam-5851	104	2	n(gx	n(gx	NUM
ejpam-5851	104	3	,	,	PUNCT
ejpam-5851	104	4	gxx	gxx	NOUN
ejpam-5851	104	5	,	,	PUNCT
ejpam-5851	104	6	hx	hx	PROPN
ejpam-5851	104	7	,	,	PUNCT
ejpam-5851	104	8	.	.	PUNCT
ejpam-5851	104	9	.	.	PUNCT
ejpam-5851	104	10	.	.	PUNCT
ejpam-5851	104	11	)	)	PUNCT
ejpam-5851	105	1	=	=	PUNCT
ejpam-5851	105	2	0	0	NUM
ejpam-5851	105	3	,	,	PUNCT
ejpam-5851	105	4	,	,	PUNCT
ejpam-5851	105	5	(	(	PUNCT
ejpam-5851	105	6	2	2	X
ejpam-5851	105	7	)	)	PUNCT
ejpam-5851	105	8	where	where	SCONJ
ejpam-5851	105	9	g	g	NOUN
ejpam-5851	105	10	=	=	SYM
ejpam-5851	105	11	g(x	g(x	PROPN
ejpam-5851	105	12	,	,	PUNCT
ejpam-5851	105	13	t	t	PROPN
ejpam-5851	105	14	)	)	PUNCT
ejpam-5851	105	15	and	and	CCONJ
ejpam-5851	105	16	h	h	NOUN
ejpam-5851	105	17	=	=	SYM
ejpam-5851	105	18	h(x	h(x	PROPN
ejpam-5851	105	19	,	,	PUNCT
ejpam-5851	105	20	t	t	PROPN
ejpam-5851	105	21	)	)	PUNCT
ejpam-5851	105	22	are	be	AUX
ejpam-5851	105	23	the	the	DET
ejpam-5851	105	24	wave	wave	NOUN
ejpam-5851	105	25	functions	function	NOUN
ejpam-5851	105	26	,	,	PUNCT
ejpam-5851	105	27	x	x	X
ejpam-5851	105	28	is	be	AUX
ejpam-5851	105	29	a	a	DET
ejpam-5851	105	30	space	space	NOUN
ejpam-5851	105	31	variable	variable	NOUN
ejpam-5851	105	32	and	and	CCONJ
ejpam-5851	105	33	t	t	PROPN
ejpam-5851	105	34	is	be	AUX
ejpam-5851	105	35	time	time	NOUN
ejpam-5851	105	36	.	.	PUNCT
ejpam-5851	106	1	•	•	NUM
ejpam-5851	106	2	step	step	NOUN
ejpam-5851	106	3	2	2	NUM
ejpam-5851	106	4	:	:	PUNCT
ejpam-5851	106	5	to	to	PART
ejpam-5851	106	6	tranform	tranform	VERB
ejpam-5851	106	7	the	the	DET
ejpam-5851	106	8	nlpde	nlpde	NOUN
ejpam-5851	106	9	to	to	ADP
ejpam-5851	106	10	an	an	DET
ejpam-5851	106	11	ode	ode	NOUN
ejpam-5851	106	12	,	,	PUNCT
ejpam-5851	106	13	we	we	PRON
ejpam-5851	106	14	employ	employ	VERB
ejpam-5851	106	15	the	the	DET
ejpam-5851	106	16	wave	wave	NOUN
ejpam-5851	106	17	transformation	transformation	NOUN
ejpam-5851	106	18	shown	show	VERB
ejpam-5851	106	19	below	below	ADP
ejpam-5851	106	20	.	.	PUNCT
ejpam-5851	107	1	g(x	g(x	NOUN
ejpam-5851	107	2	,	,	PUNCT
ejpam-5851	107	3	t	t	PROPN
ejpam-5851	107	4	)	)	PUNCT
ejpam-5851	107	5	=	=	PUNCT
ejpam-5851	108	1	λ(σ)eiτ	λ(σ)eiτ	PROPN
ejpam-5851	108	2	,	,	PUNCT
ejpam-5851	108	3	h(x	h(x	PROPN
ejpam-5851	108	4	,	,	PUNCT
ejpam-5851	108	5	t	t	PROPN
ejpam-5851	108	6	)	)	PUNCT
ejpam-5851	108	7	=	=	SYM
ejpam-5851	108	8	∆(σ	∆(σ	PROPN
ejpam-5851	108	9	)	)	PUNCT
ejpam-5851	108	10	,	,	PUNCT
ejpam-5851	108	11	σ	σ	PROPN
ejpam-5851	108	12	=	=	SYM
ejpam-5851	108	13	x−	x−	PROPN
ejpam-5851	108	14	ω1	ω1	PROPN
ejpam-5851	108	15	t	t	PROPN
ejpam-5851	108	16	,	,	PUNCT
ejpam-5851	108	17	τ	τ	PROPN
ejpam-5851	108	18	=	=	SYM
ejpam-5851	109	1	−θx+	−θx+	PROPN
ejpam-5851	109	2	ω2	ω2	ADJ
ejpam-5851	109	3	t.	t.	PROPN
ejpam-5851	109	4	(	(	PUNCT
ejpam-5851	109	5	3	3	NUM
ejpam-5851	109	6	)	)	PUNCT
ejpam-5851	109	7	where	where	SCONJ
ejpam-5851	109	8	wave	wave	NOUN
ejpam-5851	109	9	velocity	velocity	NOUN
ejpam-5851	109	10	,	,	PUNCT
ejpam-5851	109	11	frequency	frequency	NOUN
ejpam-5851	109	12	,	,	PUNCT
ejpam-5851	109	13	and	and	CCONJ
ejpam-5851	109	14	wave	wave	NOUN
ejpam-5851	109	15	number	number	NOUN
ejpam-5851	109	16	are	be	AUX
ejpam-5851	109	17	denoted	denote	VERB
ejpam-5851	109	18	by	by	ADP
ejpam-5851	109	19	parameters	parameter	NOUN
ejpam-5851	109	20	ω1	ω1	PROPN
ejpam-5851	109	21	,	,	PUNCT
ejpam-5851	109	22	θ	θ	PROPN
ejpam-5851	109	23	,	,	PUNCT
ejpam-5851	109	24	and	and	CCONJ
ejpam-5851	109	25	ω2	ω2	ADJ
ejpam-5851	109	26	,	,	PUNCT
ejpam-5851	109	27	respectively	respectively	ADV
ejpam-5851	109	28	.	.	PUNCT
ejpam-5851	110	1	putting	put	VERB
ejpam-5851	110	2	equation	equation	NOUN
ejpam-5851	110	3	(	(	PUNCT
ejpam-5851	110	4	3	3	NUM
ejpam-5851	110	5	)	)	PUNCT
ejpam-5851	110	6	into	into	ADP
ejpam-5851	110	7	equation	equation	NOUN
ejpam-5851	110	8	(	(	PUNCT
ejpam-5851	110	9	2	2	NUM
ejpam-5851	110	10	)	)	PUNCT
ejpam-5851	110	11	,	,	PUNCT
ejpam-5851	110	12	reduces	reduce	VERB
ejpam-5851	110	13	nlpde	nlpde	NOUN
ejpam-5851	110	14	to	to	ADP
ejpam-5851	110	15	an	an	DET
ejpam-5851	110	16	ode	ode	NOUN
ejpam-5851	110	17	in	in	ADP
ejpam-5851	110	18	terms	term	NOUN
ejpam-5851	110	19	of	of	ADP
ejpam-5851	110	20	λ(σ	λ(σ	NOUN
ejpam-5851	110	21	)	)	PUNCT
ejpam-5851	110	22	and	and	CCONJ
ejpam-5851	110	23	∆(σ	∆(σ	PROPN
ejpam-5851	110	24	)	)	PUNCT
ejpam-5851	110	25	.	.	PUNCT
ejpam-5851	111	1	•	•	NUM
ejpam-5851	111	2	step	step	NOUN
ejpam-5851	111	3	3	3	NUM
ejpam-5851	111	4	:	:	PUNCT
ejpam-5851	111	5	to	to	PART
ejpam-5851	111	6	make	make	VERB
ejpam-5851	111	7	the	the	DET
ejpam-5851	111	8	resulting	result	VERB
ejpam-5851	111	9	ode	ode	ADJ
ejpam-5851	111	10	more	more	ADV
ejpam-5851	111	11	tractable	tractable	ADJ
ejpam-5851	111	12	,	,	PUNCT
ejpam-5851	111	13	integrate	integrate	VERB
ejpam-5851	111	14	,	,	PUNCT
ejpam-5851	111	15	rearrange	rearrange	VERB
ejpam-5851	111	16	,	,	PUNCT
ejpam-5851	111	17	and	and	CCONJ
ejpam-5851	111	18	substitute	substitute	NOUN
ejpam-5851	111	19	terms	term	NOUN
ejpam-5851	111	20	if	if	SCONJ
ejpam-5851	111	21	required	require	VERB
ejpam-5851	111	22	.	.	PUNCT
ejpam-5851	112	1	•	•	NUM
ejpam-5851	112	2	step	step	NOUN
ejpam-5851	112	3	4	4	NUM
ejpam-5851	112	4	:	:	PUNCT
ejpam-5851	112	5	applying	apply	VERB
ejpam-5851	112	6	the	the	DET
ejpam-5851	112	7	cole	cole	NOUN
ejpam-5851	112	8	-	-	PUNCT
ejpam-5851	112	9	hopf	hopf	ADV
ejpam-5851	112	10	logarithmic	logarithmic	ADJ
ejpam-5851	112	11	transformation	transformation	NOUN
ejpam-5851	112	12	,	,	PUNCT
ejpam-5851	112	13	we	we	PRON
ejpam-5851	112	14	write	write	VERB
ejpam-5851	112	15	λ(σ	λ(σ	ADV
ejpam-5851	112	16	)	)	PUNCT
ejpam-5851	112	17	in	in	ADP
ejpam-5851	112	18	terms	term	NOUN
ejpam-5851	112	19	of	of	ADP
ejpam-5851	112	20	a	a	DET
ejpam-5851	112	21	new	new	ADJ
ejpam-5851	112	22	function	function	NOUN
ejpam-5851	112	23	φ(σ	φ(σ	NUM
ejpam-5851	112	24	)	)	PUNCT
ejpam-5851	112	25	λ(σ	λ(σ	X
ejpam-5851	112	26	)	)	PUNCT
ejpam-5851	112	27	=	=	NOUN
ejpam-5851	112	28	r(ln(φ(σ))σ	r(ln(φ(σ))σ	NOUN
ejpam-5851	112	29	,	,	PUNCT
ejpam-5851	112	30	(	(	PUNCT
ejpam-5851	112	31	4	4	NUM
ejpam-5851	112	32	)	)	PUNCT
ejpam-5851	112	33	where	where	SCONJ
ejpam-5851	112	34	r	r	NOUN
ejpam-5851	112	35	is	be	AUX
ejpam-5851	112	36	a	a	DET
ejpam-5851	112	37	constant	constant	ADJ
ejpam-5851	112	38	to	to	PART
ejpam-5851	112	39	be	be	AUX
ejpam-5851	112	40	determined	determine	VERB
ejpam-5851	112	41	.	.	PUNCT
ejpam-5851	113	1	find	find	VERB
ejpam-5851	113	2	the	the	DET
ejpam-5851	113	3	derivatives	derivative	NOUN
ejpam-5851	113	4	of	of	ADP
ejpam-5851	113	5	λ(σ	λ(σ	NOUN
ejpam-5851	113	6	)	)	PUNCT
ejpam-5851	113	7	(	(	PUNCT
ejpam-5851	113	8	e.g.	e.g.	ADV
ejpam-5851	113	9	λ′	λ′	PROPN
ejpam-5851	113	10	,	,	PUNCT
ejpam-5851	113	11	λ′′	λ′′	ADJ
ejpam-5851	113	12	)	)	PUNCT
ejpam-5851	113	13	in	in	ADP
ejpam-5851	113	14	terms	term	NOUN
ejpam-5851	113	15	of	of	ADP
ejpam-5851	113	16	φ(σ	φ(σ	NUM
ejpam-5851	113	17	)	)	PUNCT
ejpam-5851	113	18	and	and	CCONJ
ejpam-5851	113	19	its	its	PRON
ejpam-5851	113	20	derivatives	derivative	NOUN
ejpam-5851	113	21	.	.	PUNCT
ejpam-5851	114	1	•	•	NUM
ejpam-5851	114	2	step	step	NOUN
ejpam-5851	114	3	5	5	NUM
ejpam-5851	114	4	:	:	PUNCT
ejpam-5851	114	5	replace	replace	VERB
ejpam-5851	114	6	λ(σ	λ(σ	ADV
ejpam-5851	114	7	)	)	PUNCT
ejpam-5851	114	8	,	,	PUNCT
ejpam-5851	114	9	λ′(σ	λ′(σ	PROPN
ejpam-5851	114	10	)	)	PUNCT
ejpam-5851	114	11	,	,	PUNCT
ejpam-5851	114	12	λ′′(σ	λ′′(σ	NOUN
ejpam-5851	114	13	)	)	PUNCT
ejpam-5851	114	14	,	,	PUNCT
ejpam-5851	114	15	etc	etc	X
ejpam-5851	114	16	.	.	X
ejpam-5851	115	1	in	in	ADP
ejpam-5851	115	2	the	the	DET
ejpam-5851	115	3	ode	ode	NOUN
ejpam-5851	115	4	of	of	ADP
ejpam-5851	115	5	equation	equation	NOUN
ejpam-5851	115	6	(	(	PUNCT
ejpam-5851	115	7	2	2	NUM
ejpam-5851	115	8	)	)	PUNCT
ejpam-5851	115	9	.	.	PUNCT
ejpam-5851	116	1	rewrite	rewrite	VERB
ejpam-5851	116	2	the	the	DET
ejpam-5851	116	3	ode	ode	NOUN
ejpam-5851	116	4	in	in	ADP
ejpam-5851	116	5	terms	term	NOUN
ejpam-5851	116	6	of	of	ADP
ejpam-5851	116	7	φ(σ	φ(σ	NUM
ejpam-5851	116	8	)	)	PUNCT
ejpam-5851	116	9	and	and	CCONJ
ejpam-5851	116	10	its	its	PRON
ejpam-5851	116	11	derivatives	derivative	NOUN
ejpam-5851	116	12	.	.	PUNCT
ejpam-5851	117	1	•	•	NUM
ejpam-5851	117	2	step	step	NOUN
ejpam-5851	117	3	6	6	NUM
ejpam-5851	117	4	:	:	PUNCT
ejpam-5851	117	5	express	express	VERB
ejpam-5851	117	6	the	the	DET
ejpam-5851	117	7	ode	ode	NOUN
ejpam-5851	117	8	in	in	ADP
ejpam-5851	117	9	bilinear	bilinear	NOUN
ejpam-5851	117	10	form	form	NOUN
ejpam-5851	117	11	,	,	PUNCT
ejpam-5851	117	12	which	which	PRON
ejpam-5851	117	13	typically	typically	ADV
ejpam-5851	117	14	involves	involve	VERB
ejpam-5851	117	15	products	product	NOUN
ejpam-5851	117	16	of	of	ADP
ejpam-5851	117	17	φ(σ	φ(σ	NUM
ejpam-5851	117	18	)	)	PUNCT
ejpam-5851	117	19	and	and	CCONJ
ejpam-5851	117	20	its	its	PRON
ejpam-5851	117	21	derivatives	derivative	NOUN
ejpam-5851	117	22	.	.	PUNCT
ejpam-5851	118	1	•	•	NUM
ejpam-5851	118	2	step	step	NOUN
ejpam-5851	118	3	7	7	NUM
ejpam-5851	118	4	:	:	PUNCT
ejpam-5851	118	5	select	select	VERB
ejpam-5851	118	6	the	the	DET
ejpam-5851	118	7	ansatz	ansatz	ADJ
ejpam-5851	118	8	wave	wave	NOUN
ejpam-5851	118	9	functions	function	NOUN
ejpam-5851	118	10	and	and	CCONJ
ejpam-5851	118	11	input	input	VERB
ejpam-5851	118	12	them	they	PRON
ejpam-5851	118	13	into	into	ADP
ejpam-5851	118	14	the	the	DET
ejpam-5851	118	15	bilinear	bilinear	NOUN
ejpam-5851	118	16	equation	equation	NOUN
ejpam-5851	118	17	for	for	ADP
ejpam-5851	118	18	φ(σ	φ(σ	NUM
ejpam-5851	118	19	)	)	PUNCT
ejpam-5851	118	20	.	.	PUNCT
ejpam-5851	119	1	equate	equate	VERB
ejpam-5851	119	2	the	the	DET
ejpam-5851	119	3	coefficients	coefficient	NOUN
ejpam-5851	119	4	of	of	ADP
ejpam-5851	119	5	similar	similar	ADJ
ejpam-5851	119	6	terms	term	NOUN
ejpam-5851	119	7	to	to	ADP
ejpam-5851	119	8	zero	zero	NUM
ejpam-5851	119	9	to	to	PART
ejpam-5851	119	10	solve	solve	VERB
ejpam-5851	119	11	for	for	ADP
ejpam-5851	119	12	the	the	DET
ejpam-5851	119	13	unknown	unknown	ADJ
ejpam-5851	119	14	parameters	parameter	NOUN
ejpam-5851	119	15	•	•	ADP
ejpam-5851	119	16	step	step	NOUN
ejpam-5851	119	17	8	8	NUM
ejpam-5851	119	18	:	:	PUNCT
ejpam-5851	119	19	after	after	ADP
ejpam-5851	119	20	determining	determine	VERB
ejpam-5851	119	21	φ(σ	φ(σ	PROPN
ejpam-5851	119	22	)	)	PUNCT
ejpam-5851	119	23	,	,	PUNCT
ejpam-5851	119	24	use	use	VERB
ejpam-5851	119	25	the	the	DET
ejpam-5851	119	26	cole	cole	NOUN
ejpam-5851	119	27	-	-	PUNCT
ejpam-5851	119	28	hopf	hopf	ADV
ejpam-5851	119	29	logarithmic	logarithmic	ADJ
ejpam-5851	119	30	transformation	transformation	NOUN
ejpam-5851	119	31	in	in	ADP
ejpam-5851	119	32	equation	equation	NOUN
ejpam-5851	119	33	(	(	PUNCT
ejpam-5851	119	34	4	4	NUM
ejpam-5851	119	35	)	)	PUNCT
ejpam-5851	119	36	to	to	PART
ejpam-5851	119	37	recover	recover	VERB
ejpam-5851	119	38	λ(σ	λ(σ	ADV
ejpam-5851	119	39	)	)	PUNCT
ejpam-5851	119	40	,	,	PUNCT
ejpam-5851	119	41	and	and	CCONJ
ejpam-5851	119	42	then	then	ADV
ejpam-5851	119	43	get	get	VERB
ejpam-5851	119	44	∆(σ	∆(σ	PROPN
ejpam-5851	119	45	)	)	PUNCT
ejpam-5851	119	46	.	.	PUNCT
ejpam-5851	120	1	b.	b.	PROPN
ejpam-5851	120	2	ceesay	ceesay	PROPN
ejpam-5851	120	3	et	et	PROPN
ejpam-5851	120	4	al	al	PROPN
ejpam-5851	120	5	.	.	PUNCT
ejpam-5851	120	6	/	/	SYM
ejpam-5851	120	7	eur	eur	PROPN
ejpam-5851	120	8	.	.	PUNCT
ejpam-5851	121	1	j.	j.	PROPN
ejpam-5851	121	2	pure	pure	PROPN
ejpam-5851	121	3	appl	appl	PROPN
ejpam-5851	121	4	.	.	PROPN
ejpam-5851	121	5	math	math	PROPN
ejpam-5851	121	6	,	,	PUNCT
ejpam-5851	121	7	18	18	NUM
ejpam-5851	121	8	(	(	PUNCT
ejpam-5851	121	9	2	2	NUM
ejpam-5851	121	10	)	)	PUNCT
ejpam-5851	121	11	(	(	PUNCT
ejpam-5851	121	12	2025	2025	NUM
ejpam-5851	121	13	)	)	PUNCT
ejpam-5851	121	14	,	,	PUNCT
ejpam-5851	121	15	5851	5851	NUM
ejpam-5851	121	16	6	6	NUM
ejpam-5851	121	17	of	of	ADP
ejpam-5851	121	18	32	32	NUM
ejpam-5851	121	19	derived	derive	VERB
ejpam-5851	121	20	wave	wave	NOUN
ejpam-5851	121	21	solutions	solution	NOUN
ejpam-5851	121	22	from	from	ADP
ejpam-5851	121	23	various	various	ADJ
ejpam-5851	121	24	wave	wave	NOUN
ejpam-5851	121	25	functions	function	NOUN
ejpam-5851	121	26	select	select	VERB
ejpam-5851	121	27	parameter	parameter	NOUN
ejpam-5851	121	28	values	value	NOUN
ejpam-5851	121	29	for	for	ADP
ejpam-5851	121	30	graphical	graphical	ADJ
ejpam-5851	121	31	representations	representation	NOUN
ejpam-5851	121	32	generate	generate	VERB
ejpam-5851	121	33	plots	plot	NOUN
ejpam-5851	121	34	of	of	ADP
ejpam-5851	121	35	3ds	3ds	NOUN
ejpam-5851	121	36	,	,	PUNCT
ejpam-5851	121	37	contours	contour	NOUN
ejpam-5851	121	38	and	and	CCONJ
ejpam-5851	121	39	densities	density	NOUN
ejpam-5851	121	40	interpret	interpret	VERB
ejpam-5851	121	41	results	result	NOUN
ejpam-5851	121	42	figure	figure	VERB
ejpam-5851	121	43	2	2	NUM
ejpam-5851	121	44	:	:	PUNCT
ejpam-5851	121	45	flowchart	flowchart	NOUN
ejpam-5851	121	46	of	of	ADP
ejpam-5851	121	47	the	the	DET
ejpam-5851	121	48	graphical	graphical	ADJ
ejpam-5851	121	49	representation	representation	NOUN
ejpam-5851	121	50	and	and	CCONJ
ejpam-5851	121	51	analysis	analysis	NOUN
ejpam-5851	121	52	process	process	NOUN
ejpam-5851	121	53	.	.	PUNCT
ejpam-5851	122	1	•	•	NUM
ejpam-5851	122	2	step	step	NOUN
ejpam-5851	122	3	9	9	NUM
ejpam-5851	122	4	:	:	PUNCT
ejpam-5851	122	5	in	in	ADP
ejpam-5851	122	6	order	order	NOUN
ejpam-5851	122	7	to	to	PART
ejpam-5851	122	8	derive	derive	VERB
ejpam-5851	122	9	the	the	DET
ejpam-5851	122	10	solutions	solution	NOUN
ejpam-5851	122	11	g(x	g(x	PROPN
ejpam-5851	122	12	,	,	PUNCT
ejpam-5851	122	13	t	t	PROPN
ejpam-5851	122	14	)	)	PUNCT
ejpam-5851	122	15	and	and	CCONJ
ejpam-5851	122	16	h(x	h(x	PROPN
ejpam-5851	122	17	,	,	PUNCT
ejpam-5851	122	18	t	t	PROPN
ejpam-5851	122	19	)	)	PUNCT
ejpam-5851	122	20	in	in	ADP
ejpam-5851	122	21	terms	term	NOUN
ejpam-5851	122	22	of	of	ADP
ejpam-5851	122	23	the	the	DET
ejpam-5851	122	24	original	original	ADJ
ejpam-5851	122	25	variables	variable	NOUN
ejpam-5851	122	26	,	,	PUNCT
ejpam-5851	122	27	substitute	substitute	VERB
ejpam-5851	122	28	the	the	DET
ejpam-5851	122	29	wave	wave	NOUN
ejpam-5851	122	30	transformations	transformation	NOUN
ejpam-5851	122	31	in	in	ADP
ejpam-5851	122	32	equation	equation	NOUN
ejpam-5851	122	33	(	(	PUNCT
ejpam-5851	122	34	3	3	NUM
ejpam-5851	122	35	)	)	PUNCT
ejpam-5851	122	36	into	into	ADP
ejpam-5851	122	37	the	the	DET
ejpam-5851	122	38	solutions	solution	NOUN
ejpam-5851	122	39	obtained	obtain	VERB
ejpam-5851	122	40	in	in	ADP
ejpam-5851	122	41	step	step	NOUN
ejpam-5851	122	42	8	8	NUM
ejpam-5851	122	43	.	.	PUNCT
ejpam-5851	123	1	the	the	DET
ejpam-5851	123	2	bilinear	bilinear	NOUN
ejpam-5851	123	3	method	method	NOUN
ejpam-5851	123	4	is	be	AUX
ejpam-5851	123	5	an	an	DET
ejpam-5851	123	6	efficient	efficient	ADJ
ejpam-5851	123	7	computational	computational	ADJ
ejpam-5851	123	8	approach	approach	NOUN
ejpam-5851	123	9	with	with	ADP
ejpam-5851	123	10	easy	easy	ADJ
ejpam-5851	123	11	steps	step	NOUN
ejpam-5851	123	12	such	such	ADJ
ejpam-5851	123	13	as	as	ADP
ejpam-5851	123	14	conversion	conversion	NOUN
ejpam-5851	123	15	of	of	ADP
ejpam-5851	123	16	the	the	DET
ejpam-5851	123	17	equation	equation	NOUN
ejpam-5851	123	18	into	into	ADP
ejpam-5851	123	19	bilinear	bilinear	NOUN
ejpam-5851	123	20	form	form	NOUN
ejpam-5851	123	21	,	,	PUNCT
ejpam-5851	123	22	taking	take	VERB
ejpam-5851	123	23	an	an	DET
ejpam-5851	123	24	ansatz	ansatz	NOUN
ejpam-5851	123	25	,	,	PUNCT
ejpam-5851	123	26	and	and	CCONJ
ejpam-5851	123	27	solving	solve	VERB
ejpam-5851	123	28	algebraic	algebraic	ADJ
ejpam-5851	123	29	equations	equation	NOUN
ejpam-5851	123	30	.	.	PUNCT
ejpam-5851	124	1	this	this	PRON
ejpam-5851	124	2	makes	make	VERB
ejpam-5851	124	3	it	it	PRON
ejpam-5851	124	4	well	well	ADV
ejpam-5851	124	5	suited	suited	ADJ
ejpam-5851	124	6	for	for	ADP
ejpam-5851	124	7	finding	find	VERB
ejpam-5851	124	8	exact	exact	ADJ
ejpam-5851	124	9	solutions	solution	NOUN
ejpam-5851	124	10	of	of	ADP
ejpam-5851	124	11	an	an	DET
ejpam-5851	124	12	enormous	enormous	ADJ
ejpam-5851	124	13	number	number	NOUN
ejpam-5851	124	14	of	of	ADP
ejpam-5851	124	15	nlpdes	nlpde	NOUN
ejpam-5851	124	16	.	.	PUNCT
ejpam-5851	125	1	the	the	DET
ejpam-5851	125	2	bilinear	bilinear	NOUN
ejpam-5851	125	3	method	method	NOUN
ejpam-5851	125	4	is	be	AUX
ejpam-5851	125	5	also	also	ADV
ejpam-5851	125	6	more	more	ADV
ejpam-5851	125	7	efficient	efficient	ADJ
ejpam-5851	125	8	compared	compare	VERB
ejpam-5851	125	9	to	to	ADP
ejpam-5851	125	10	current	current	ADJ
ejpam-5851	125	11	methods	method	NOUN
ejpam-5851	125	12	that	that	PRON
ejpam-5851	125	13	use	use	VERB
ejpam-5851	125	14	numerical	numerical	ADJ
ejpam-5851	125	15	methods	method	NOUN
ejpam-5851	125	16	for	for	ADP
ejpam-5851	125	17	computations	computation	NOUN
ejpam-5851	125	18	,	,	PUNCT
ejpam-5851	125	19	which	which	PRON
ejpam-5851	125	20	are	be	AUX
ejpam-5851	125	21	extensive	extensive	ADJ
ejpam-5851	125	22	and	and	CCONJ
ejpam-5851	125	23	yield	yield	VERB
ejpam-5851	125	24	only	only	ADJ
ejpam-5851	125	25	approximations	approximation	NOUN
ejpam-5851	125	26	.	.	PUNCT
ejpam-5851	126	1	it	it	PRON
ejpam-5851	126	2	is	be	AUX
ejpam-5851	126	3	also	also	ADV
ejpam-5851	126	4	more	more	ADV
ejpam-5851	126	5	efficient	efficient	ADJ
ejpam-5851	126	6	than	than	ADP
ejpam-5851	126	7	the	the	DET
ejpam-5851	126	8	inverse	inverse	NOUN
ejpam-5851	126	9	scattering	scattering	NOUN
ejpam-5851	126	10	transform	transform	NOUN
ejpam-5851	126	11	,	,	PUNCT
ejpam-5851	126	12	which	which	PRON
ejpam-5851	126	13	is	be	AUX
ejpam-5851	126	14	based	base	VERB
ejpam-5851	126	15	on	on	ADP
ejpam-5851	126	16	the	the	DET
ejpam-5851	126	17	solution	solution	NOUN
ejpam-5851	126	18	of	of	ADP
ejpam-5851	126	19	intricate	intricate	ADJ
ejpam-5851	126	20	integral	integral	ADJ
ejpam-5851	126	21	equations	equation	NOUN
ejpam-5851	126	22	and	and	CCONJ
ejpam-5851	126	23	spectral	spectral	ADJ
ejpam-5851	126	24	analysis	analysis	NOUN
ejpam-5851	126	25	.	.	PUNCT
ejpam-5851	127	1	although	although	SCONJ
ejpam-5851	127	2	comparable	comparable	ADJ
ejpam-5851	127	3	in	in	ADP
ejpam-5851	127	4	efficiency	efficiency	NOUN
ejpam-5851	127	5	with	with	ADP
ejpam-5851	127	6	methods	method	NOUN
ejpam-5851	127	7	such	such	ADJ
ejpam-5851	127	8	as	as	ADP
ejpam-5851	127	9	the	the	DET
ejpam-5851	127	10	fan	fan	NOUN
ejpam-5851	127	11	sub	sub	NOUN
ejpam-5851	127	12	-	-	ADJ
ejpam-5851	127	13	equation	equation	NOUN
ejpam-5851	127	14	method	method	NOUN
ejpam-5851	127	15	and	and	CCONJ
ejpam-5851	127	16	darboux	darboux	VERB
ejpam-5851	127	17	transformation	transformation	NOUN
ejpam-5851	127	18	,	,	PUNCT
ejpam-5851	127	19	the	the	DET
ejpam-5851	127	20	efficiency	efficiency	NOUN
ejpam-5851	127	21	of	of	ADP
ejpam-5851	127	22	the	the	DET
ejpam-5851	127	23	bilinear	bilinear	NOUN
ejpam-5851	127	24	method	method	NOUN
ejpam-5851	127	25	coupled	couple	VERB
ejpam-5851	127	26	with	with	ADP
ejpam-5851	127	27	its	its	PRON
ejpam-5851	127	28	ability	ability	NOUN
ejpam-5851	127	29	to	to	PART
ejpam-5851	127	30	solve	solve	VERB
ejpam-5851	127	31	a	a	DET
ejpam-5851	127	32	wider	wide	ADJ
ejpam-5851	127	33	class	class	NOUN
ejpam-5851	127	34	of	of	ADP
ejpam-5851	127	35	equations	equation	NOUN
ejpam-5851	127	36	and	and	CCONJ
ejpam-5851	127	37	deliver	deliver	VERB
ejpam-5851	127	38	exact	exact	ADJ
ejpam-5851	127	39	solutions	solution	NOUN
ejpam-5851	127	40	is	be	AUX
ejpam-5851	127	41	a	a	DET
ejpam-5851	127	42	plus	plus	NOUN
ejpam-5851	127	43	.	.	PUNCT
ejpam-5851	128	1	nonetheless	nonetheless	ADV
ejpam-5851	128	2	,	,	PUNCT
ejpam-5851	128	3	it	it	PRON
ejpam-5851	128	4	may	may	AUX
ejpam-5851	128	5	be	be	AUX
ejpam-5851	128	6	difficult	difficult	ADJ
ejpam-5851	128	7	to	to	PART
ejpam-5851	128	8	obtain	obtain	VERB
ejpam-5851	128	9	the	the	DET
ejpam-5851	128	10	bilinear	bilinear	NOUN
ejpam-5851	128	11	form	form	NOUN
ejpam-5851	128	12	for	for	ADP
ejpam-5851	128	13	some	some	DET
ejpam-5851	128	14	equations	equation	NOUN
ejpam-5851	128	15	,	,	PUNCT
ejpam-5851	128	16	a	a	DET
ejpam-5851	128	17	drawback	drawback	NOUN
ejpam-5851	128	18	of	of	ADP
ejpam-5851	128	19	its	its	PRON
ejpam-5851	128	20	efficiency	efficiency	NOUN
ejpam-5851	128	21	and	and	CCONJ
ejpam-5851	128	22	generality	generality	NOUN
ejpam-5851	128	23	.	.	PUNCT
ejpam-5851	129	1	overall	overall	ADV
ejpam-5851	129	2	,	,	PUNCT
ejpam-5851	129	3	the	the	DET
ejpam-5851	129	4	hirota	hirota	PROPN
ejpam-5851	129	5	bilinear	bilinear	NOUN
ejpam-5851	129	6	method	method	NOUN
ejpam-5851	129	7	finds	find	VERB
ejpam-5851	129	8	an	an	DET
ejpam-5851	129	9	optimal	optimal	ADJ
ejpam-5851	129	10	balance	balance	NOUN
ejpam-5851	129	11	between	between	ADP
ejpam-5851	129	12	computational	computational	ADJ
ejpam-5851	129	13	efficiency	efficiency	NOUN
ejpam-5851	129	14	and	and	CCONJ
ejpam-5851	129	15	generality	generality	NOUN
ejpam-5851	129	16	,	,	PUNCT
ejpam-5851	129	17	rendering	render	VERB
ejpam-5851	129	18	it	it	PRON
ejpam-5851	129	19	an	an	DET
ejpam-5851	129	20	effective	effective	ADJ
ejpam-5851	129	21	tool	tool	NOUN
ejpam-5851	129	22	in	in	ADP
ejpam-5851	129	23	solving	solve	VERB
ejpam-5851	129	24	intricate	intricate	ADJ
ejpam-5851	129	25	nlpdes	nlpde	NOUN
ejpam-5851	129	26	.	.	PUNCT
ejpam-5851	130	1	the	the	DET
ejpam-5851	130	2	flowchart	flowchart	NOUN
ejpam-5851	130	3	in	in	ADP
ejpam-5851	130	4	figure	figure	NOUN
ejpam-5851	130	5	2	2	NUM
ejpam-5851	130	6	illustrates	illustrate	VERB
ejpam-5851	130	7	the	the	DET
ejpam-5851	130	8	process	process	NOUN
ejpam-5851	130	9	of	of	ADP
ejpam-5851	130	10	analyzing	analyze	VERB
ejpam-5851	130	11	and	and	CCONJ
ejpam-5851	130	12	visualizing	visualize	VERB
ejpam-5851	130	13	the	the	DET
ejpam-5851	130	14	derived	derive	VERB
ejpam-5851	130	15	wave	wave	NOUN
ejpam-5851	130	16	solutions	solution	NOUN
ejpam-5851	130	17	.	.	PUNCT
ejpam-5851	131	1	4	4	X
ejpam-5851	131	2	.	.	X
ejpam-5851	131	3	results	result	NOUN
ejpam-5851	131	4	for	for	ADP
ejpam-5851	131	5	convenience	convenience	NOUN
ejpam-5851	131	6	,	,	PUNCT
ejpam-5851	131	7	we	we	PRON
ejpam-5851	131	8	will	will	AUX
ejpam-5851	131	9	briefly	briefly	ADV
ejpam-5851	131	10	recall	recall	VERB
ejpam-5851	131	11	now	now	ADV
ejpam-5851	131	12	the	the	DET
ejpam-5851	131	13	hirota	hirota	PROPN
ejpam-5851	131	14	bilinear	bilinear	PROPN
ejpam-5851	131	15	methodology	methodology	NOUN
ejpam-5851	131	16	.	.	PUNCT
ejpam-5851	132	1	we	we	PRON
ejpam-5851	132	2	assume	assume	VERB
ejpam-5851	132	3	the	the	DET
ejpam-5851	132	4	following	follow	VERB
ejpam-5851	132	5	wave	wave	NOUN
ejpam-5851	132	6	transformation	transformation	NOUN
ejpam-5851	132	7	solves	solve	VERB
ejpam-5851	132	8	equation	equation	NOUN
ejpam-5851	132	9	(	(	PUNCT
ejpam-5851	132	10	1	1	NUM
ejpam-5851	132	11	):	):	PUNCT
ejpam-5851	132	12	g(x	g(x	PROPN
ejpam-5851	132	13	,	,	PUNCT
ejpam-5851	132	14	t	t	PROPN
ejpam-5851	132	15	)	)	PUNCT
ejpam-5851	133	1	=	=	PUNCT
ejpam-5851	133	2	λ(σ)eiτ	λ(σ)eiτ	PROPN
ejpam-5851	133	3	,	,	PUNCT
ejpam-5851	133	4	h(x	h(x	PROPN
ejpam-5851	133	5	,	,	PUNCT
ejpam-5851	133	6	t	t	PROPN
ejpam-5851	133	7	)	)	PUNCT
ejpam-5851	133	8	=	=	SYM
ejpam-5851	133	9	∆(σ	∆(σ	PROPN
ejpam-5851	133	10	)	)	PUNCT
ejpam-5851	133	11	,	,	PUNCT
ejpam-5851	133	12	σ	σ	PROPN
ejpam-5851	133	13	=	=	SYM
ejpam-5851	133	14	x−	x−	PROPN
ejpam-5851	133	15	ω1	ω1	PROPN
ejpam-5851	133	16	t	t	PROPN
ejpam-5851	133	17	,	,	PUNCT
ejpam-5851	133	18	τ	τ	PROPN
ejpam-5851	133	19	=	=	SYM
ejpam-5851	134	1	−θx+	−θx+	PROPN
ejpam-5851	134	2	ω2	ω2	ADJ
ejpam-5851	134	3	t.	t.	PROPN
ejpam-5851	134	4	(	(	PUNCT
ejpam-5851	134	5	5	5	NUM
ejpam-5851	134	6	)	)	PUNCT
ejpam-5851	134	7	the	the	DET
ejpam-5851	134	8	soliton	soliton	NOUN
ejpam-5851	134	9	velocity	velocity	NOUN
ejpam-5851	134	10	,	,	PUNCT
ejpam-5851	134	11	frequency	frequency	NOUN
ejpam-5851	134	12	,	,	PUNCT
ejpam-5851	134	13	and	and	CCONJ
ejpam-5851	134	14	wave	wave	NOUN
ejpam-5851	134	15	number	number	NOUN
ejpam-5851	134	16	in	in	ADP
ejpam-5851	134	17	this	this	DET
ejpam-5851	134	18	case	case	NOUN
ejpam-5851	134	19	are	be	AUX
ejpam-5851	134	20	represented	represent	VERB
ejpam-5851	134	21	by	by	ADP
ejpam-5851	134	22	the	the	DET
ejpam-5851	134	23	parameters	parameter	NOUN
ejpam-5851	134	24	ω1	ω1	PROPN
ejpam-5851	134	25	,	,	PUNCT
ejpam-5851	134	26	θ	θ	PROPN
ejpam-5851	134	27	,	,	PUNCT
ejpam-5851	134	28	and	and	CCONJ
ejpam-5851	134	29	ω2	ω2	ADJ
ejpam-5851	134	30	.	.	PUNCT
ejpam-5851	135	1	however	however	ADV
ejpam-5851	135	2	,	,	PUNCT
ejpam-5851	135	3	the	the	DET
ejpam-5851	135	4	functions	function	NOUN
ejpam-5851	135	5	λ	λ	PROPN
ejpam-5851	135	6	and	and	CCONJ
ejpam-5851	135	7	∆	∆	PROPN
ejpam-5851	135	8	of	of	ADP
ejpam-5851	135	9	σ	σ	PROPN
ejpam-5851	135	10	are	be	AUX
ejpam-5851	135	11	what	what	PRON
ejpam-5851	135	12	convert	convert	VERB
ejpam-5851	135	13	pdes	pde	NOUN
ejpam-5851	135	14	into	into	ADP
ejpam-5851	135	15	ordinary	ordinary	ADJ
ejpam-5851	135	16	differential	differential	ADJ
ejpam-5851	135	17	equations	equation	NOUN
ejpam-5851	135	18	(	(	PUNCT
ejpam-5851	135	19	odes	ode	NOUN
ejpam-5851	135	20	)	)	PUNCT
ejpam-5851	135	21	.	.	PUNCT
ejpam-5851	136	1	by	by	ADP
ejpam-5851	136	2	employing	employ	VERB
ejpam-5851	136	3	equation	equation	NOUN
ejpam-5851	136	4	(	(	PUNCT
ejpam-5851	136	5	5	5	NUM
ejpam-5851	136	6	)	)	PUNCT
ejpam-5851	136	7	,	,	PUNCT
ejpam-5851	136	8	we	we	PRON
ejpam-5851	136	9	convert	convert	VERB
ejpam-5851	136	10	equation	equation	NOUN
ejpam-5851	136	11	(	(	PUNCT
ejpam-5851	136	12	1	1	NUM
ejpam-5851	136	13	)	)	PUNCT
ejpam-5851	136	14	into	into	ADP
ejpam-5851	136	15	the	the	DET
ejpam-5851	136	16	system	system	NOUN
ejpam-5851	136	17	of	of	ADP
ejpam-5851	136	18	odes	ode	NOUN
ejpam-5851	136	19			PRON
ejpam-5851	136	20	−iω1λ	−iω1λ	PUNCT
ejpam-5851	136	21	′	′	NUM
ejpam-5851	136	22	−	−	PROPN
ejpam-5851	136	23	ω2λ	ω2λ	NOUN
ejpam-5851	136	24	+	+	CCONJ
ejpam-5851	136	25	aλ′′	aλ′′	NOUN
ejpam-5851	136	26	−	−	NUM
ejpam-5851	136	27	2iaθλ′	2iaθλ′	NUM
ejpam-5851	136	28	−	−	NOUN
ejpam-5851	136	29	aθ2λ−	aθ2λ−	VERB
ejpam-5851	136	30	bω1λ	bω1λ	NOUN
ejpam-5851	136	31	′′	′′	PROPN
ejpam-5851	136	32	+	+	NOUN
ejpam-5851	136	33	ibθω1λ	ibθω1λ	PROPN
ejpam-5851	136	34	′	′	NOUN
ejpam-5851	137	1	+	+	CCONJ
ejpam-5851	137	2	ibω2λ	ibω2λ	NUM
ejpam-5851	137	3	′	′	NUM
ejpam-5851	138	1	+	+	CCONJ
ejpam-5851	138	2	bθω2λ	bθω2λ	NOUN
ejpam-5851	138	3	+	+	CCONJ
ejpam-5851	138	4	cλ∆	cλ∆	NOUN
ejpam-5851	138	5	=	=	SYM
ejpam-5851	138	6	0	0	NUM
ejpam-5851	138	7	,	,	PUNCT
ejpam-5851	138	8	∆′	∆′	NOUN
ejpam-5851	138	9	−	−	PROPN
ejpam-5851	138	10	4adλλ′	4adλλ′	PRON
ejpam-5851	138	11	+	+	CCONJ
ejpam-5851	138	12	4bdω1λλ	4bdω1λλ	ADV
ejpam-5851	138	13	′	′	NUM
ejpam-5851	139	1	=	=	NOUN
ejpam-5851	139	2	0	0	X
ejpam-5851	139	3	.	.	PUNCT
ejpam-5851	140	1	(	(	PUNCT
ejpam-5851	140	2	6	6	NUM
ejpam-5851	140	3	)	)	PUNCT
ejpam-5851	140	4	b.	b.	NOUN
ejpam-5851	140	5	ceesay	ceesay	PROPN
ejpam-5851	140	6	et	et	PROPN
ejpam-5851	140	7	al	al	PROPN
ejpam-5851	140	8	.	.	PUNCT
ejpam-5851	140	9	/	/	SYM
ejpam-5851	140	10	eur	eur	PROPN
ejpam-5851	140	11	.	.	PUNCT
ejpam-5851	141	1	j.	j.	PROPN
ejpam-5851	141	2	pure	pure	PROPN
ejpam-5851	141	3	appl	appl	PROPN
ejpam-5851	141	4	.	.	PROPN
ejpam-5851	141	5	math	math	PROPN
ejpam-5851	141	6	,	,	PUNCT
ejpam-5851	141	7	18	18	NUM
ejpam-5851	141	8	(	(	PUNCT
ejpam-5851	141	9	2	2	NUM
ejpam-5851	141	10	)	)	PUNCT
ejpam-5851	141	11	(	(	PUNCT
ejpam-5851	141	12	2025	2025	NUM
ejpam-5851	141	13	)	)	PUNCT
ejpam-5851	141	14	,	,	PUNCT
ejpam-5851	141	15	5851	5851	NUM
ejpam-5851	141	16	7	7	NUM
ejpam-5851	141	17	of	of	ADP
ejpam-5851	141	18	32	32	NUM
ejpam-5851	141	19	in	in	ADP
ejpam-5851	141	20	the	the	DET
ejpam-5851	141	21	first	first	ADJ
ejpam-5851	141	22	part	part	NOUN
ejpam-5851	141	23	of	of	ADP
ejpam-5851	141	24	equation	equation	NOUN
ejpam-5851	141	25	(	(	PUNCT
ejpam-5851	141	26	6	6	NUM
ejpam-5851	141	27	)	)	PUNCT
ejpam-5851	142	1	,	,	PUNCT
ejpam-5851	142	2	we	we	PRON
ejpam-5851	142	3	separate	separate	VERB
ejpam-5851	142	4	the	the	DET
ejpam-5851	142	5	real	real	ADJ
ejpam-5851	142	6	and	and	CCONJ
ejpam-5851	142	7	imaginary	imaginary	ADJ
ejpam-5851	142	8	components	component	NOUN
ejpam-5851	142	9	accordingly	accordingly	ADV
ejpam-5851	142	10	to	to	PART
ejpam-5851	142	11	obtain	obtain	VERB
ejpam-5851	142	12	(	(	PUNCT
ejpam-5851	142	13	bω1	bω1	NOUN
ejpam-5851	142	14	−	−	NOUN
ejpam-5851	142	15	a)λ′′	a)λ′′	NOUN
ejpam-5851	142	16	+	+	CCONJ
ejpam-5851	142	17	(	(	PUNCT
ejpam-5851	142	18	aθ2	aθ2	NOUN
ejpam-5851	142	19	+	+	CCONJ
ejpam-5851	142	20	ω2	ω2	ADJ
ejpam-5851	142	21	−	−	PROPN
ejpam-5851	142	22	bθω2	bθω2	NOUN
ejpam-5851	142	23	−	−	NOUN
ejpam-5851	142	24	c∆)λ	c∆)λ	PUNCT
ejpam-5851	143	1	=	=	SYM
ejpam-5851	143	2	0	0	NUM
ejpam-5851	143	3	,	,	PUNCT
ejpam-5851	143	4	(	(	PUNCT
ejpam-5851	143	5	7	7	X
ejpam-5851	143	6	)	)	PUNCT
ejpam-5851	143	7	i(−ω1	i(−ω1	ADJ
ejpam-5851	144	1	−	−	NOUN
ejpam-5851	144	2	2aθ	2aθ	NOUN
ejpam-5851	144	3	+	+	CCONJ
ejpam-5851	144	4	bθω1	bθω1	NOUN
ejpam-5851	145	1	+	+	CCONJ
ejpam-5851	145	2	bω2)λ	bω2)λ	NOUN
ejpam-5851	145	3	′	′	NUM
ejpam-5851	146	1	=	=	NOUN
ejpam-5851	146	2	0	0	X
ejpam-5851	146	3	.	.	PUNCT
ejpam-5851	147	1	(	(	PUNCT
ejpam-5851	147	2	8)	8)	NUM
ejpam-5851	147	3	integrate	integrate	VERB
ejpam-5851	147	4	equation	equation	NOUN
ejpam-5851	147	5	(	(	PUNCT
ejpam-5851	147	6	8)	8)	NUM
ejpam-5851	147	7	and	and	CCONJ
ejpam-5851	147	8	solve	solve	VERB
ejpam-5851	147	9	for	for	ADP
ejpam-5851	147	10	ω2	ω2	ADJ
ejpam-5851	147	11	.	.	PUNCT
ejpam-5851	148	1	at	at	ADP
ejpam-5851	148	2	the	the	DET
ejpam-5851	148	3	same	same	ADJ
ejpam-5851	148	4	time	time	NOUN
ejpam-5851	148	5	,	,	PUNCT
ejpam-5851	148	6	integrate	integrate	VERB
ejpam-5851	148	7	the	the	DET
ejpam-5851	148	8	second	second	ADJ
ejpam-5851	148	9	part	part	NOUN
ejpam-5851	148	10	of	of	ADP
ejpam-5851	148	11	equation	equation	NOUN
ejpam-5851	148	12	(	(	PUNCT
ejpam-5851	148	13	6	6	NUM
ejpam-5851	148	14	)	)	PUNCT
ejpam-5851	148	15	and	and	CCONJ
ejpam-5851	148	16	solve	solve	VERB
ejpam-5851	148	17	for	for	ADP
ejpam-5851	148	18	∆.	∆.	NOUN
ejpam-5851	148	19	as	as	ADP
ejpam-5851	148	20	a	a	DET
ejpam-5851	148	21	consequence	consequence	NOUN
ejpam-5851	148	22	,	,	PUNCT
ejpam-5851	148	23	we	we	PRON
ejpam-5851	148	24	readily	readily	ADV
ejpam-5851	148	25	obtain	obtain	VERB
ejpam-5851	148	26	that	that	DET
ejpam-5851	148	27	ω2	ω2	ADJ
ejpam-5851	148	28	=	=	SYM
ejpam-5851	148	29	2aθ	2aθ	NOUN
ejpam-5851	148	30	+	+	CCONJ
ejpam-5851	148	31	ω1	ω1	PROPN
ejpam-5851	148	32	−	−	PROPN
ejpam-5851	148	33	bθω1	bθω1	PROPN
ejpam-5851	148	34	b	b	PROPN
ejpam-5851	148	35	,	,	PUNCT
ejpam-5851	148	36	(	(	PUNCT
ejpam-5851	148	37	9	9	NUM
ejpam-5851	148	38	)	)	PUNCT
ejpam-5851	148	39	∆	∆	PROPN
ejpam-5851	149	1	=	=	SYM
ejpam-5851	149	2	2d(a−	2d(a−	NUM
ejpam-5851	149	3	bω1)λ	bω1)λ	PROPN
ejpam-5851	149	4	2	2	NUM
ejpam-5851	149	5	.	.	PUNCT
ejpam-5851	149	6	(	(	PUNCT
ejpam-5851	149	7	10	10	NUM
ejpam-5851	149	8	)	)	PUNCT
ejpam-5851	149	9	substituting	substitute	VERB
ejpam-5851	149	10	equations	equation	NOUN
ejpam-5851	149	11	(	(	PUNCT
ejpam-5851	149	12	9	9	NUM
ejpam-5851	149	13	)	)	PUNCT
ejpam-5851	149	14	and	and	CCONJ
ejpam-5851	149	15	(	(	PUNCT
ejpam-5851	149	16	10	10	NUM
ejpam-5851	149	17	)	)	PUNCT
ejpam-5851	149	18	into	into	ADP
ejpam-5851	149	19	equations	equation	NOUN
ejpam-5851	149	20	(	(	PUNCT
ejpam-5851	149	21	7	7	NUM
ejpam-5851	149	22	)	)	PUNCT
ejpam-5851	149	23	,	,	PUNCT
ejpam-5851	149	24	we	we	PRON
ejpam-5851	149	25	reach	reach	VERB
ejpam-5851	149	26	b(a−	b(a−	PROPN
ejpam-5851	149	27	bω1)λ	bω1)λ	PROPN
ejpam-5851	149	28	′′	′′	PROPN
ejpam-5851	149	29	+	+	CCONJ
ejpam-5851	149	30	(	(	PUNCT
ejpam-5851	149	31	−ω1	−ω1	X
ejpam-5851	149	32	+	+	CCONJ
ejpam-5851	149	33	θ(bθ	θ(bθ	NUM
ejpam-5851	149	34	−	−	ADP
ejpam-5851	149	35	2)(a−	2)(a−	NUM
ejpam-5851	149	36	bω1))λ	bω1))λ	PUNCT
ejpam-5851	150	1	+	+	CCONJ
ejpam-5851	150	2	2cd(a−	2cd(a−	NUM
ejpam-5851	150	3	bω1)λ	bω1)λ	PROPN
ejpam-5851	150	4	3	3	NUM
ejpam-5851	150	5	=	=	SYM
ejpam-5851	150	6	0	0	NUM
ejpam-5851	150	7	.	.	PUNCT
ejpam-5851	151	1	(	(	PUNCT
ejpam-5851	151	2	11	11	NUM
ejpam-5851	151	3	)	)	PUNCT
ejpam-5851	151	4	we	we	PRON
ejpam-5851	151	5	now	now	ADV
ejpam-5851	151	6	use	use	VERB
ejpam-5851	151	7	equation	equation	NOUN
ejpam-5851	151	8	(	(	PUNCT
ejpam-5851	151	9	11	11	NUM
ejpam-5851	151	10	)	)	PUNCT
ejpam-5851	151	11	to	to	PART
ejpam-5851	151	12	find	find	VERB
ejpam-5851	151	13	the	the	DET
ejpam-5851	151	14	various	various	ADJ
ejpam-5851	151	15	wave	wave	NOUN
ejpam-5851	151	16	structures	structure	NOUN
ejpam-5851	151	17	under	under	ADP
ejpam-5851	151	18	consideration	consideration	NOUN
ejpam-5851	151	19	for	for	ADP
ejpam-5851	151	20	equation	equation	NOUN
ejpam-5851	151	21	(	(	PUNCT
ejpam-5851	151	22	1	1	NUM
ejpam-5851	151	23	)	)	PUNCT
ejpam-5851	151	24	.	.	PUNCT
ejpam-5851	152	1	we	we	PRON
ejpam-5851	152	2	first	first	ADV
ejpam-5851	152	3	assume	assume	VERB
ejpam-5851	152	4	that	that	SCONJ
ejpam-5851	152	5	equation	equation	NOUN
ejpam-5851	152	6	(	(	PUNCT
ejpam-5851	152	7	11	11	NUM
ejpam-5851	152	8	)	)	PUNCT
ejpam-5851	152	9	has	have	VERB
ejpam-5851	152	10	a	a	DET
ejpam-5851	152	11	solution	solution	NOUN
ejpam-5851	152	12	of	of	ADP
ejpam-5851	152	13	the	the	DET
ejpam-5851	152	14	form	form	NOUN
ejpam-5851	152	15	λ(σ	λ(σ	ADP
ejpam-5851	152	16	)	)	PUNCT
ejpam-5851	152	17	=	=	NOUN
ejpam-5851	152	18	r(ln(φ(σ))σ	r(ln(φ(σ))σ	NOUN
ejpam-5851	152	19	,	,	PUNCT
ejpam-5851	152	20	(	(	PUNCT
ejpam-5851	152	21	12	12	NUM
ejpam-5851	152	22	)	)	PUNCT
ejpam-5851	152	23	where	where	SCONJ
ejpam-5851	152	24	r	r	NOUN
ejpam-5851	152	25	is	be	AUX
ejpam-5851	152	26	a	a	DET
ejpam-5851	152	27	constant	constant	ADJ
ejpam-5851	152	28	to	to	PART
ejpam-5851	152	29	be	be	AUX
ejpam-5851	152	30	determined	determine	VERB
ejpam-5851	152	31	.	.	PUNCT
ejpam-5851	153	1	substituting	substitute	VERB
ejpam-5851	153	2	equation	equation	NOUN
ejpam-5851	153	3	(	(	PUNCT
ejpam-5851	153	4	12	12	NUM
ejpam-5851	153	5	)	)	PUNCT
ejpam-5851	153	6	into	into	ADP
ejpam-5851	153	7	equation	equation	NOUN
ejpam-5851	153	8	(	(	PUNCT
ejpam-5851	153	9	11	11	NUM
ejpam-5851	153	10	)	)	PUNCT
ejpam-5851	153	11	,	,	PUNCT
ejpam-5851	153	12	we	we	PRON
ejpam-5851	153	13	obtain	obtain	VERB
ejpam-5851	153	14	2b	2b	NUM
ejpam-5851	153	15	(	(	PUNCT
ejpam-5851	153	16	φ′)3	φ′)3	PROPN
ejpam-5851	153	17	(	(	PUNCT
ejpam-5851	153	18	a−	a−	PROPN
ejpam-5851	153	19	bω1	bω1	NOUN
ejpam-5851	153	20	)	)	PUNCT
ejpam-5851	153	21	(	(	PUNCT
ejpam-5851	153	22	cdr2	cdr2	NOUN
ejpam-5851	153	23	+	+	CCONJ
ejpam-5851	153	24	1	1	X
ejpam-5851	153	25	)	)	PUNCT
ejpam-5851	154	1	+	+	NOUN
ejpam-5851	154	2	φ2	φ2	PROPN
ejpam-5851	154	3	(	(	PUNCT
ejpam-5851	154	4	φ′	φ′	NUM
ejpam-5851	154	5	(	(	PUNCT
ejpam-5851	154	6	aθ(bθ	aθ(bθ	VERB
ejpam-5851	154	7	−	−	PUNCT
ejpam-5851	155	1	2)−	2)−	NUM
ejpam-5851	155	2	ω1(bθ	ω1(bθ	NUM
ejpam-5851	155	3	−	−	PROPN
ejpam-5851	155	4	1)2	1)2	NUM
ejpam-5851	155	5	)	)	PUNCT
ejpam-5851	156	1	+	+	CCONJ
ejpam-5851	156	2	bφ(3	bφ(3	NOUN
ejpam-5851	156	3	)	)	PUNCT
ejpam-5851	156	4	(	(	PUNCT
ejpam-5851	156	5	a−	a−	PROPN
ejpam-5851	156	6	bω1	bω1	NOUN
ejpam-5851	156	7	)	)	PUNCT
ejpam-5851	156	8	)	)	PUNCT
ejpam-5851	157	1	+3bφ′′φφ′	+3bφ′′φφ′	PROPN
ejpam-5851	157	2	(	(	PUNCT
ejpam-5851	157	3	bω1	bω1	NOUN
ejpam-5851	157	4	−	−	NOUN
ejpam-5851	157	5	a	a	NOUN
ejpam-5851	157	6	)	)	PUNCT
ejpam-5851	157	7	=	=	SYM
ejpam-5851	157	8	0	0	X
ejpam-5851	157	9	.	.	PUNCT
ejpam-5851	158	1	(	(	PUNCT
ejpam-5851	158	2	13	13	NUM
ejpam-5851	158	3	)	)	PUNCT
ejpam-5851	158	4	we	we	PRON
ejpam-5851	158	5	input	input	VERB
ejpam-5851	158	6	the	the	DET
ejpam-5851	158	7	functions	function	NOUN
ejpam-5851	158	8	for	for	ADP
ejpam-5851	158	9	the	the	DET
ejpam-5851	158	10	different	different	ADJ
ejpam-5851	158	11	wave	wave	NOUN
ejpam-5851	158	12	types	type	NOUN
ejpam-5851	158	13	under	under	ADP
ejpam-5851	158	14	investigation	investigation	NOUN
ejpam-5851	158	15	into	into	ADP
ejpam-5851	158	16	equation	equation	NOUN
ejpam-5851	158	17	(	(	PUNCT
ejpam-5851	158	18	13	13	NUM
ejpam-5851	158	19	)	)	PUNCT
ejpam-5851	158	20	.	.	PUNCT
ejpam-5851	159	1	then	then	ADV
ejpam-5851	159	2	,	,	PUNCT
ejpam-5851	159	3	we	we	PRON
ejpam-5851	159	4	expand	expand	VERB
ejpam-5851	159	5	,	,	PUNCT
ejpam-5851	159	6	evaluate	evaluate	VERB
ejpam-5851	159	7	,	,	PUNCT
ejpam-5851	159	8	and	and	CCONJ
ejpam-5851	159	9	arrange	arrange	VERB
ejpam-5851	159	10	related	relate	VERB
ejpam-5851	159	11	terms	term	NOUN
ejpam-5851	159	12	together	together	ADV
ejpam-5851	159	13	,	,	PUNCT
ejpam-5851	159	14	setting	set	VERB
ejpam-5851	159	15	them	they	PRON
ejpam-5851	159	16	equal	equal	ADJ
ejpam-5851	159	17	to	to	ADP
ejpam-5851	159	18	0	0	NUM
ejpam-5851	159	19	.	.	PUNCT
ejpam-5851	160	1	ultimately	ultimately	ADV
ejpam-5851	160	2	,	,	PUNCT
ejpam-5851	160	3	we	we	PRON
ejpam-5851	160	4	solve	solve	VERB
ejpam-5851	160	5	this	this	DET
ejpam-5851	160	6	system	system	NOUN
ejpam-5851	160	7	of	of	ADP
ejpam-5851	160	8	equations	equation	NOUN
ejpam-5851	160	9	to	to	PART
ejpam-5851	160	10	obtain	obtain	VERB
ejpam-5851	160	11	a	a	DET
ejpam-5851	160	12	number	number	NOUN
ejpam-5851	160	13	of	of	ADP
ejpam-5851	160	14	potential	potential	ADJ
ejpam-5851	160	15	families	family	NOUN
ejpam-5851	160	16	for	for	ADP
ejpam-5851	160	17	each	each	DET
ejpam-5851	160	18	instance	instance	NOUN
ejpam-5851	160	19	.	.	PUNCT
ejpam-5851	161	1	various	various	ADJ
ejpam-5851	161	2	exact	exact	ADJ
ejpam-5851	161	3	solutions	solution	NOUN
ejpam-5851	161	4	for	for	ADP
ejpam-5851	161	5	the	the	DET
ejpam-5851	161	6	heisenberg	heisenberg	PROPN
ejpam-5851	161	7	ferromagnet	ferromagnet	NOUN
ejpam-5851	161	8	-	-	PUNCT
ejpam-5851	161	9	type	type	NOUN
ejpam-5851	161	10	akbota	akbota	NOUN
ejpam-5851	161	11	will	will	AUX
ejpam-5851	161	12	be	be	AUX
ejpam-5851	161	13	derived	derive	VERB
ejpam-5851	161	14	in	in	ADP
ejpam-5851	161	15	the	the	DET
ejpam-5851	161	16	following	follow	VERB
ejpam-5851	161	17	sections	section	NOUN
ejpam-5851	161	18	.	.	PUNCT
ejpam-5851	162	1	at	at	ADP
ejpam-5851	162	2	the	the	DET
ejpam-5851	162	3	end	end	NOUN
ejpam-5851	162	4	of	of	ADP
ejpam-5851	162	5	each	each	DET
ejpam-5851	162	6	section	section	NOUN
ejpam-5851	162	7	,	,	PUNCT
ejpam-5851	162	8	we	we	PRON
ejpam-5851	162	9	will	will	AUX
ejpam-5851	162	10	provide	provide	VERB
ejpam-5851	162	11	graphical	graphical	ADJ
ejpam-5851	162	12	representations	representation	NOUN
ejpam-5851	162	13	of	of	ADP
ejpam-5851	162	14	some	some	DET
ejpam-5851	162	15	typical	typical	ADJ
ejpam-5851	162	16	solutions	solution	NOUN
ejpam-5851	162	17	.	.	PUNCT
ejpam-5851	163	1	the	the	DET
ejpam-5851	163	2	graphs	graph	NOUN
ejpam-5851	163	3	will	will	AUX
ejpam-5851	163	4	provide	provide	VERB
ejpam-5851	163	5	a	a	DET
ejpam-5851	163	6	clear	clear	ADJ
ejpam-5851	163	7	representation	representation	NOUN
ejpam-5851	163	8	of	of	ADP
ejpam-5851	163	9	the	the	DET
ejpam-5851	163	10	soliton	soliton	NOUN
ejpam-5851	163	11	solutions	solution	NOUN
ejpam-5851	163	12	found	find	VERB
ejpam-5851	163	13	.	.	PUNCT
ejpam-5851	164	1	owing	owe	VERB
ejpam-5851	164	2	to	to	ADP
ejpam-5851	164	3	the	the	DET
ejpam-5851	164	4	impact	impact	NOUN
ejpam-5851	164	5	of	of	ADP
ejpam-5851	164	6	graphical	graphical	ADJ
ejpam-5851	164	7	morphology	morphology	NOUN
ejpam-5851	164	8	on	on	ADP
ejpam-5851	164	9	the	the	DET
ejpam-5851	164	10	dynamics	dynamic	NOUN
ejpam-5851	164	11	of	of	ADP
ejpam-5851	164	12	the	the	DET
ejpam-5851	164	13	traveling	travel	VERB
ejpam-5851	164	14	-	-	PUNCT
ejpam-5851	164	15	wave	wave	NOUN
ejpam-5851	164	16	solutions	solution	NOUN
ejpam-5851	164	17	,	,	PUNCT
ejpam-5851	164	18	we	we	PRON
ejpam-5851	164	19	illustrate	illustrate	VERB
ejpam-5851	164	20	a	a	DET
ejpam-5851	164	21	range	range	NOUN
ejpam-5851	164	22	of	of	ADP
ejpam-5851	164	23	solution	solution	NOUN
ejpam-5851	164	24	types	type	NOUN
ejpam-5851	164	25	in	in	ADP
ejpam-5851	164	26	(	(	PUNCT
ejpam-5851	164	27	a	a	PRON
ejpam-5851	164	28	)	)	PUNCT
ejpam-5851	164	29	three	three	NUM
ejpam-5851	164	30	-	-	PUNCT
ejpam-5851	164	31	dimensional	dimensional	ADJ
ejpam-5851	164	32	plots	plot	NOUN
ejpam-5851	164	33	.	.	PUNCT
ejpam-5851	165	1	meanwhile	meanwhile	ADV
ejpam-5851	165	2	,	,	PUNCT
ejpam-5851	165	3	all	all	DET
ejpam-5851	165	4	subfigures	subfigure	NOUN
ejpam-5851	165	5	(	(	PUNCT
ejpam-5851	165	6	b	b	NOUN
ejpam-5851	165	7	)	)	PUNCT
ejpam-5851	165	8	and	and	CCONJ
ejpam-5851	165	9	(	(	PUNCT
ejpam-5851	165	10	c	c	X
ejpam-5851	165	11	)	)	PUNCT
ejpam-5851	165	12	represent	represent	VERB
ejpam-5851	165	13	the	the	DET
ejpam-5851	165	14	contour	contour	NOUN
ejpam-5851	165	15	plots	plot	NOUN
ejpam-5851	165	16	while	while	SCONJ
ejpam-5851	165	17	(	(	PUNCT
ejpam-5851	165	18	d	d	X
ejpam-5851	165	19	)	)	PUNCT
ejpam-5851	165	20	and	and	CCONJ
ejpam-5851	165	21	(	(	PUNCT
ejpam-5851	165	22	e	e	NOUN
ejpam-5851	165	23	)	)	PUNCT
ejpam-5851	165	24	depict	depict	VERB
ejpam-5851	165	25	the	the	DET
ejpam-5851	165	26	density	density	NOUN
ejpam-5851	165	27	plots	plot	NOUN
ejpam-5851	165	28	.	.	PUNCT
ejpam-5851	166	1	the	the	DET
ejpam-5851	166	2	contour	contour	NOUN
ejpam-5851	166	3	plots	plot	NOUN
ejpam-5851	166	4	help	help	NOUN
ejpam-5851	166	5	in	in	ADP
ejpam-5851	166	6	visualizing	visualize	VERB
ejpam-5851	166	7	the	the	DET
ejpam-5851	166	8	wave	wave	NOUN
ejpam-5851	166	9	profiles	profile	NOUN
ejpam-5851	166	10	by	by	ADP
ejpam-5851	166	11	displaying	display	VERB
ejpam-5851	166	12	changes	change	NOUN
ejpam-5851	166	13	in	in	ADP
ejpam-5851	166	14	both	both	CCONJ
ejpam-5851	166	15	shape	shape	NOUN
ejpam-5851	166	16	and	and	CCONJ
ejpam-5851	166	17	intensity	intensity	NOUN
ejpam-5851	166	18	in	in	ADP
ejpam-5851	166	19	different	different	ADJ
ejpam-5851	166	20	spatial	spatial	ADJ
ejpam-5851	166	21	areas	area	NOUN
ejpam-5851	166	22	at	at	ADP
ejpam-5851	166	23	different	different	ADJ
ejpam-5851	166	24	times	time	NOUN
ejpam-5851	166	25	.	.	PUNCT
ejpam-5851	167	1	by	by	ADP
ejpam-5851	167	2	displaying	display	VERB
ejpam-5851	167	3	differences	difference	NOUN
ejpam-5851	167	4	in	in	ADP
ejpam-5851	167	5	wave	wave	NOUN
ejpam-5851	167	6	density	density	NOUN
ejpam-5851	167	7	before	before	ADV
ejpam-5851	167	8	and	and	CCONJ
ejpam-5851	167	9	after	after	ADP
ejpam-5851	167	10	interactions	interaction	NOUN
ejpam-5851	167	11	,	,	PUNCT
ejpam-5851	167	12	density	density	NOUN
ejpam-5851	167	13	plots	plot	NOUN
ejpam-5851	167	14	facilitate	facilitate	VERB
ejpam-5851	167	15	the	the	DET
ejpam-5851	167	16	analysis	analysis	NOUN
ejpam-5851	167	17	of	of	ADP
ejpam-5851	167	18	the	the	DET
ejpam-5851	167	19	impact	impact	NOUN
ejpam-5851	167	20	of	of	ADP
ejpam-5851	167	21	collisions	collision	NOUN
ejpam-5851	167	22	and	and	CCONJ
ejpam-5851	167	23	the	the	DET
ejpam-5851	167	24	creation	creation	NOUN
ejpam-5851	167	25	of	of	ADP
ejpam-5851	167	26	new	new	ADJ
ejpam-5851	167	27	waves	wave	NOUN
ejpam-5851	167	28	.	.	PUNCT
ejpam-5851	168	1	these	these	DET
ejpam-5851	168	2	graphs	graph	NOUN
ejpam-5851	168	3	also	also	ADV
ejpam-5851	168	4	make	make	VERB
ejpam-5851	168	5	parameter	parameter	NOUN
ejpam-5851	168	6	tuning	tuning	NOUN
ejpam-5851	168	7	and	and	CCONJ
ejpam-5851	168	8	optimization	optimization	NOUN
ejpam-5851	168	9	easier	easy	ADJ
ejpam-5851	168	10	because	because	SCONJ
ejpam-5851	168	11	they	they	PRON
ejpam-5851	168	12	illustrate	illustrate	VERB
ejpam-5851	168	13	how	how	SCONJ
ejpam-5851	168	14	changes	change	NOUN
ejpam-5851	168	15	impact	impact	NOUN
ejpam-5851	168	16	wave	wave	NOUN
ejpam-5851	168	17	shape	shape	NOUN
ejpam-5851	168	18	and	and	CCONJ
ejpam-5851	168	19	density	density	NOUN
ejpam-5851	168	20	,	,	PUNCT
ejpam-5851	168	21	which	which	PRON
ejpam-5851	168	22	are	be	AUX
ejpam-5851	168	23	crucial	crucial	ADJ
ejpam-5851	168	24	for	for	ADP
ejpam-5851	168	25	optimizing	optimize	VERB
ejpam-5851	168	26	parameters	parameter	NOUN
ejpam-5851	168	27	and	and	CCONJ
ejpam-5851	168	28	system	system	NOUN
ejpam-5851	168	29	performance	performance	NOUN
ejpam-5851	168	30	.	.	PUNCT
ejpam-5851	169	1	additionally	additionally	ADV
ejpam-5851	169	2	,	,	PUNCT
ejpam-5851	169	3	wave	wave	NOUN
ejpam-5851	169	4	quality	quality	NOUN
ejpam-5851	169	5	in	in	ADP
ejpam-5851	169	6	a	a	DET
ejpam-5851	169	7	range	range	NOUN
ejpam-5851	169	8	of	of	ADP
ejpam-5851	169	9	fields	field	NOUN
ejpam-5851	169	10	can	can	AUX
ejpam-5851	169	11	be	be	AUX
ejpam-5851	169	12	validated	validate	VERB
ejpam-5851	169	13	,	,	PUNCT
ejpam-5851	169	14	compared	compare	VERB
ejpam-5851	169	15	,	,	PUNCT
ejpam-5851	169	16	and	and	CCONJ
ejpam-5851	169	17	optimized	optimize	VERB
ejpam-5851	169	18	quantitatively	quantitatively	ADV
ejpam-5851	169	19	using	use	VERB
ejpam-5851	169	20	the	the	DET
ejpam-5851	169	21	contour	contour	NOUN
ejpam-5851	169	22	and	and	CCONJ
ejpam-5851	169	23	density	density	NOUN
ejpam-5851	169	24	plots	plot	NOUN
ejpam-5851	169	25	.	.	PUNCT
ejpam-5851	170	1	4.1	4.1	NUM
ejpam-5851	170	2	.	.	PUNCT
ejpam-5851	170	3	interaction	interaction	NOUN
ejpam-5851	170	4	of	of	ADP
ejpam-5851	170	5	m	m	NOUN
ejpam-5851	170	6	-	-	PUNCT
ejpam-5851	170	7	shaped	shape	VERB
ejpam-5851	170	8	with	with	ADP
ejpam-5851	170	9	rogue	rogue	NOUN
ejpam-5851	170	10	and	and	CCONJ
ejpam-5851	170	11	kink	kink	ADJ
ejpam-5851	170	12	waves	wave	NOUN
ejpam-5851	170	13	(	(	PUNCT
ejpam-5851	170	14	mrk	mrk	PROPN
ejpam-5851	170	15	)	)	PUNCT
ejpam-5851	170	16	this	this	DET
ejpam-5851	170	17	wave	wave	NOUN
ejpam-5851	170	18	configuration	configuration	NOUN
ejpam-5851	170	19	is	be	AUX
ejpam-5851	170	20	provided	provide	VERB
ejpam-5851	170	21	by	by	ADP
ejpam-5851	170	22	(	(	PUNCT
ejpam-5851	170	23	see	see	VERB
ejpam-5851	170	24	[	[	X
ejpam-5851	170	25	53	53	NUM
ejpam-5851	170	26	]	]	SYM
ejpam-5851	170	27	)	)	PUNCT
ejpam-5851	170	28	φ	φ	PROPN
ejpam-5851	170	29	=	=	SYM
ejpam-5851	170	30	j2	j2	PROPN
ejpam-5851	170	31	exp	exp	PROPN
ejpam-5851	170	32	(	(	PUNCT
ejpam-5851	170	33	σv3	σv3	NOUN
ejpam-5851	170	34	+	+	CCONJ
ejpam-5851	170	35	v4	v4	NOUN
ejpam-5851	170	36	)	)	PUNCT
ejpam-5851	171	1	+	+	CCONJ
ejpam-5851	171	2	j1	j1	PROPN
ejpam-5851	171	3	cosh	cosh	NOUN
ejpam-5851	171	4	(	(	PUNCT
ejpam-5851	171	5	σv1	σv1	NOUN
ejpam-5851	171	6	+	+	CCONJ
ejpam-5851	171	7	v2	v2	NOUN
ejpam-5851	171	8	)	)	PUNCT
ejpam-5851	171	9	+	+	CCONJ
ejpam-5851	171	10	(	(	PUNCT
ejpam-5851	171	11	σv5	σv5	NOUN
ejpam-5851	171	12	+	+	CCONJ
ejpam-5851	171	13	v6	v6	NOUN
ejpam-5851	171	14	)	)	PUNCT
ejpam-5851	171	15	2	2	NUM
ejpam-5851	171	16	+	+	CCONJ
ejpam-5851	171	17	(	(	PUNCT
ejpam-5851	171	18	σv7	σv7	X
ejpam-5851	171	19	+	+	X
ejpam-5851	171	20	v8	v8	NOUN
ejpam-5851	171	21	)	)	PUNCT
ejpam-5851	171	22	2	2	NUM
ejpam-5851	171	23	+	+	NUM
ejpam-5851	171	24	v9	v9	NOUN
ejpam-5851	171	25	.	.	PUNCT
ejpam-5851	172	1	(	(	PUNCT
ejpam-5851	172	2	14	14	NUM
ejpam-5851	172	3	)	)	PUNCT
ejpam-5851	172	4	by	by	ADP
ejpam-5851	172	5	substituting	substitute	VERB
ejpam-5851	172	6	equation	equation	NOUN
ejpam-5851	172	7	(	(	PUNCT
ejpam-5851	172	8	14	14	NUM
ejpam-5851	172	9	)	)	PUNCT
ejpam-5851	172	10	and	and	CCONJ
ejpam-5851	172	11	its	its	PRON
ejpam-5851	172	12	first	first	ADJ
ejpam-5851	172	13	three	three	NUM
ejpam-5851	172	14	derivatives	derivative	NOUN
ejpam-5851	172	15	into	into	ADP
ejpam-5851	172	16	equation	equation	NOUN
ejpam-5851	172	17	(	(	PUNCT
ejpam-5851	172	18	13	13	NUM
ejpam-5851	172	19	)	)	PUNCT
ejpam-5851	172	20	,	,	PUNCT
ejpam-5851	172	21	we	we	PRON
ejpam-5851	172	22	obtain	obtain	VERB
ejpam-5851	172	23	a	a	DET
ejpam-5851	172	24	simplified	simplified	ADJ
ejpam-5851	172	25	expression	expression	NOUN
ejpam-5851	172	26	.	.	PUNCT
ejpam-5851	173	1	we	we	PRON
ejpam-5851	173	2	assemble	assemble	VERB
ejpam-5851	173	3	similar	similar	ADJ
ejpam-5851	173	4	terms	term	NOUN
ejpam-5851	173	5	together	together	ADV
ejpam-5851	173	6	,	,	PUNCT
ejpam-5851	173	7	and	and	CCONJ
ejpam-5851	173	8	equate	equate	VERB
ejpam-5851	173	9	each	each	DET
ejpam-5851	173	10	expression	expression	NOUN
ejpam-5851	173	11	’s	’s	PART
ejpam-5851	173	12	coefficients	coefficient	NOUN
ejpam-5851	173	13	to	to	ADP
ejpam-5851	173	14	zero	zero	NUM
ejpam-5851	173	15	.	.	PUNCT
ejpam-5851	174	1	thus	thus	ADV
ejpam-5851	174	2	,	,	PUNCT
ejpam-5851	174	3	we	we	PRON
ejpam-5851	174	4	obtain	obtain	VERB
ejpam-5851	174	5	the	the	DET
ejpam-5851	174	6	following	follow	VERB
ejpam-5851	174	7	set	set	NOUN
ejpam-5851	174	8	of	of	ADP
ejpam-5851	174	9	constant	constant	ADJ
ejpam-5851	174	10	values	value	NOUN
ejpam-5851	174	11	.	.	PUNCT
ejpam-5851	175	1	b.	b.	PROPN
ejpam-5851	175	2	ceesay	ceesay	PROPN
ejpam-5851	175	3	et	et	PROPN
ejpam-5851	175	4	al	al	PROPN
ejpam-5851	175	5	.	.	PUNCT
ejpam-5851	175	6	/	/	SYM
ejpam-5851	175	7	eur	eur	PROPN
ejpam-5851	175	8	.	.	PUNCT
ejpam-5851	176	1	j.	j.	PROPN
ejpam-5851	176	2	pure	pure	PROPN
ejpam-5851	176	3	appl	appl	PROPN
ejpam-5851	176	4	.	.	PROPN
ejpam-5851	176	5	math	math	PROPN
ejpam-5851	176	6	,	,	PUNCT
ejpam-5851	176	7	18	18	NUM
ejpam-5851	176	8	(	(	PUNCT
ejpam-5851	176	9	2	2	NUM
ejpam-5851	176	10	)	)	PUNCT
ejpam-5851	176	11	(	(	PUNCT
ejpam-5851	176	12	2025	2025	NUM
ejpam-5851	176	13	)	)	PUNCT
ejpam-5851	176	14	,	,	PUNCT
ejpam-5851	176	15	5851	5851	NUM
ejpam-5851	176	16	8	8	NUM
ejpam-5851	176	17	of	of	ADP
ejpam-5851	176	18	32	32	NUM
ejpam-5851	176	19	family	family	NOUN
ejpam-5851	176	20	1	1	NUM
ejpam-5851	176	21	.	.	PUNCT
ejpam-5851	176	22	v1	v1	PROPN
ejpam-5851	176	23	=	=	SYM
ejpam-5851	176	24	√	√	PROPN
ejpam-5851	176	25	−abθ2	−abθ2	NOUN
ejpam-5851	177	1	+	+	CCONJ
ejpam-5851	177	2	2aθ	2aθ	NOUN
ejpam-5851	177	3	+	+	CCONJ
ejpam-5851	177	4	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	177	5	−	−	PROPN
ejpam-5851	178	1	2bθω1	2bθω1	NUM
ejpam-5851	178	2	+	+	CCONJ
ejpam-5851	178	3	ω1√	ω1√	VERB
ejpam-5851	178	4	2b2ω1	2b2ω1	NUM
ejpam-5851	178	5	−	−	PROPN
ejpam-5851	178	6	2ab	2ab	NOUN
ejpam-5851	178	7	,	,	PUNCT
ejpam-5851	178	8	v3	v3	PROPN
ejpam-5851	178	9	=	=	PUNCT
ejpam-5851	178	10	−	−	PROPN
ejpam-5851	179	1	√	√	INTJ
ejpam-5851	179	2	−abθ2	−abθ2	NOUN
ejpam-5851	180	1	+	+	CCONJ
ejpam-5851	180	2	2aθ	2aθ	NOUN
ejpam-5851	180	3	+	+	CCONJ
ejpam-5851	180	4	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	180	5	−	−	PROPN
ejpam-5851	181	1	2bθω1	2bθω1	NUM
ejpam-5851	181	2	+	+	CCONJ
ejpam-5851	181	3	ω1√	ω1√	VERB
ejpam-5851	181	4	2b2ω1	2b2ω1	NUM
ejpam-5851	181	5	−	−	PROPN
ejpam-5851	181	6	2ab	2ab	NOUN
ejpam-5851	181	7	,	,	PUNCT
ejpam-5851	181	8	v5	v5	PROPN
ejpam-5851	181	9	=	=	SYM
ejpam-5851	181	10	0	0	NUM
ejpam-5851	181	11	,	,	PUNCT
ejpam-5851	181	12	v7	v7	VERB
ejpam-5851	181	13	=	=	SYM
ejpam-5851	181	14	0	0	NUM
ejpam-5851	181	15	,	,	PUNCT
ejpam-5851	181	16	v9	v9	NOUN
ejpam-5851	181	17	=	=	SYM
ejpam-5851	181	18	−v26	−v26	PROPN
ejpam-5851	181	19	−	−	NOUN
ejpam-5851	181	20	v28	v28	VERB
ejpam-5851	181	21	.	.	PUNCT
ejpam-5851	182	1	inserting	insert	VERB
ejpam-5851	182	2	these	these	DET
ejpam-5851	182	3	values	value	NOUN
ejpam-5851	182	4	into	into	ADP
ejpam-5851	182	5	equation	equation	NOUN
ejpam-5851	182	6	(	(	PUNCT
ejpam-5851	182	7	14	14	NUM
ejpam-5851	182	8	)	)	PUNCT
ejpam-5851	182	9	and	and	CCONJ
ejpam-5851	182	10	then	then	ADV
ejpam-5851	182	11	the	the	DET
ejpam-5851	182	12	result	result	NOUN
ejpam-5851	182	13	in	in	ADP
ejpam-5851	182	14	equation	equation	NOUN
ejpam-5851	182	15	(	(	PUNCT
ejpam-5851	182	16	12	12	NUM
ejpam-5851	182	17	)	)	PUNCT
ejpam-5851	182	18	,	,	PUNCT
ejpam-5851	182	19	we	we	PRON
ejpam-5851	182	20	have	have	VERB
ejpam-5851	182	21	λ1mrk(σ	λ1mrk(σ	NOUN
ejpam-5851	182	22	)	)	PUNCT
ejpam-5851	183	1	=	=	SYM
ejpam-5851	184	1	i	i	PRON
ejpam-5851	184	2	√	√	VERB
ejpam-5851	184	3	aθ(2−	aθ(2−	PROPN
ejpam-5851	184	4	bθ	bθ	PROPN
ejpam-5851	184	5	)	)	PUNCT
ejpam-5851	185	1	+	+	CCONJ
ejpam-5851	186	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	186	2	−	−	PROPN
ejpam-5851	187	1	1)2	1)2	NUM
ejpam-5851	187	2	(	(	PUNCT
ejpam-5851	187	3	j1	j1	PROPN
ejpam-5851	187	4	(	(	PUNCT
ejpam-5851	187	5	exp	exp	NOUN
ejpam-5851	187	6	(	(	PUNCT
ejpam-5851	187	7	σ	σ	NOUN
ejpam-5851	187	8	√	√	PROPN
ejpam-5851	187	9	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	187	10	b(bω1−a	b(bω1−a	PROPN
ejpam-5851	187	11	)	)	PUNCT
ejpam-5851	187	12	+	+	NUM
ejpam-5851	187	13	2v2	2v2	NUM
ejpam-5851	187	14	)	)	PUNCT
ejpam-5851	187	15	−	−	PROPN
ejpam-5851	188	1	1	1	NUM
ejpam-5851	188	2	)	)	PUNCT
ejpam-5851	189	1	−	−	PROPN
ejpam-5851	189	2	2j2e	2j2e	NUM
ejpam-5851	189	3	v2+v4	v2+v4	PROPN
ejpam-5851	189	4	)	)	PUNCT
ejpam-5851	190	1	√	√	ADV
ejpam-5851	190	2	2	2	NUM
ejpam-5851	191	1	√	√	NOUN
ejpam-5851	191	2	c	c	NOUN
ejpam-5851	192	1	√	√	PROPN
ejpam-5851	192	2	d	d	NOUN
ejpam-5851	192	3	√	√	NUM
ejpam-5851	192	4	b	b	NOUN
ejpam-5851	192	5	(	(	PUNCT
ejpam-5851	192	6	bω1	bω1	NOUN
ejpam-5851	192	7	−	−	NOUN
ejpam-5851	192	8	a	a	NOUN
ejpam-5851	192	9	)	)	PUNCT
ejpam-5851	192	10	(	(	PUNCT
ejpam-5851	192	11	j1	j1	PROPN
ejpam-5851	192	12	(	(	PUNCT
ejpam-5851	192	13	exp	exp	NOUN
ejpam-5851	192	14	(	(	PUNCT
ejpam-5851	192	15	σ	σ	NOUN
ejpam-5851	192	16	√	√	PROPN
ejpam-5851	192	17	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	192	18	b(bω1−a	b(bω1−a	PROPN
ejpam-5851	192	19	)	)	PUNCT
ejpam-5851	192	20	+	+	NUM
ejpam-5851	192	21	2v2	2v2	NUM
ejpam-5851	192	22	)	)	PUNCT
ejpam-5851	193	1	+	+	CCONJ
ejpam-5851	193	2	1	1	X
ejpam-5851	193	3	)	)	PUNCT
ejpam-5851	193	4	+	+	CCONJ
ejpam-5851	193	5	2j2ev2+v4	2j2ev2+v4	NUM
ejpam-5851	193	6	)	)	PUNCT
ejpam-5851	193	7	.	.	PUNCT
ejpam-5851	194	1	(	(	PUNCT
ejpam-5851	194	2	15	15	X
ejpam-5851	194	3	)	)	PUNCT
ejpam-5851	194	4	substituting	substitute	VERB
ejpam-5851	194	5	equation	equation	NOUN
ejpam-5851	194	6	(	(	PUNCT
ejpam-5851	194	7	15	15	NUM
ejpam-5851	194	8	)	)	PUNCT
ejpam-5851	194	9	into	into	ADP
ejpam-5851	194	10	equation	equation	NOUN
ejpam-5851	194	11	(	(	PUNCT
ejpam-5851	194	12	10	10	NUM
ejpam-5851	194	13	)	)	PUNCT
ejpam-5851	194	14	gives	give	VERB
ejpam-5851	194	15	∆1mrk(σ	∆1mrk(σ	NOUN
ejpam-5851	194	16	)	)	PUNCT
ejpam-5851	194	17	=	=	PUNCT
ejpam-5851	195	1	(	(	PUNCT
ejpam-5851	195	2	aθ(2−	aθ(2−	PROPN
ejpam-5851	195	3	bθ	bθ	PROPN
ejpam-5851	195	4	)	)	PUNCT
ejpam-5851	196	1	+	+	CCONJ
ejpam-5851	196	2	ω1(bθ	ω1(bθ	NUM
ejpam-5851	196	3	−	−	PROPN
ejpam-5851	196	4	1)2	1)2	NUM
ejpam-5851	196	5	)	)	PUNCT
ejpam-5851	196	6	(	(	PUNCT
ejpam-5851	196	7	j1	j1	PROPN
ejpam-5851	196	8	(	(	PUNCT
ejpam-5851	196	9	exp	exp	NOUN
ejpam-5851	196	10	(	(	PUNCT
ejpam-5851	196	11	σ	σ	NOUN
ejpam-5851	196	12	√	√	PROPN
ejpam-5851	196	13	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	196	14	b(bω1−a	b(bω1−a	PROPN
ejpam-5851	196	15	)	)	PUNCT
ejpam-5851	196	16	+	+	NUM
ejpam-5851	196	17	2v2	2v2	NUM
ejpam-5851	196	18	)	)	PUNCT
ejpam-5851	196	19	−	−	PROPN
ejpam-5851	196	20	1	1	NUM
ejpam-5851	196	21	)	)	PUNCT
ejpam-5851	196	22	−	−	PROPN
ejpam-5851	197	1	2j2e	2j2e	NUM
ejpam-5851	197	2	v2+v4	v2+v4	PROPN
ejpam-5851	197	3	)	)	PUNCT
ejpam-5851	197	4	2	2	NUM
ejpam-5851	197	5	bc	bc	PROPN
ejpam-5851	197	6	(	(	PUNCT
ejpam-5851	197	7	j1	j1	PROPN
ejpam-5851	197	8	(	(	PUNCT
ejpam-5851	197	9	exp	exp	NOUN
ejpam-5851	197	10	(	(	PUNCT
ejpam-5851	197	11	σ	σ	NOUN
ejpam-5851	197	12	√	√	PROPN
ejpam-5851	197	13	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	197	14	b(bω1−a	b(bω1−a	PROPN
ejpam-5851	197	15	)	)	PUNCT
ejpam-5851	197	16	+	+	NUM
ejpam-5851	197	17	2v2	2v2	NUM
ejpam-5851	197	18	)	)	PUNCT
ejpam-5851	198	1	+	+	CCONJ
ejpam-5851	198	2	1	1	X
ejpam-5851	198	3	)	)	PUNCT
ejpam-5851	198	4	+	+	CCONJ
ejpam-5851	198	5	2j2ev2+v4	2j2ev2+v4	NUM
ejpam-5851	198	6	)	)	PUNCT
ejpam-5851	198	7	2	2	NUM
ejpam-5851	198	8	.	.	PUNCT
ejpam-5851	199	1	(	(	PUNCT
ejpam-5851	199	2	16	16	NUM
ejpam-5851	199	3	)	)	PUNCT
ejpam-5851	199	4	substituting	substitute	VERB
ejpam-5851	199	5	equations	equation	NOUN
ejpam-5851	199	6	(	(	PUNCT
ejpam-5851	199	7	15	15	NUM
ejpam-5851	199	8	)	)	PUNCT
ejpam-5851	199	9	and	and	CCONJ
ejpam-5851	199	10	(	(	PUNCT
ejpam-5851	199	11	16	16	NUM
ejpam-5851	199	12	)	)	PUNCT
ejpam-5851	199	13	into	into	ADP
ejpam-5851	199	14	equation	equation	NOUN
ejpam-5851	199	15	(	(	PUNCT
ejpam-5851	199	16	5	5	X
ejpam-5851	199	17	)	)	PUNCT
ejpam-5851	199	18	yields	yield	VERB
ejpam-5851	199	19	the	the	DET
ejpam-5851	199	20	required	require	VERB
ejpam-5851	199	21	mrk	mrk	PROPN
ejpam-5851	199	22	wave	wave	NOUN
ejpam-5851	199	23	solutions	solution	NOUN
ejpam-5851	199	24	for	for	ADP
ejpam-5851	199	25	equation	equation	NOUN
ejpam-5851	199	26	(	(	PUNCT
ejpam-5851	199	27	1	1	NUM
ejpam-5851	199	28	):	):	PUNCT
ejpam-5851	199	29	g1mrk(x	g1mrk(x	PROPN
ejpam-5851	199	30	,	,	PUNCT
ejpam-5851	199	31	t	t	PROPN
ejpam-5851	199	32	)	)	PUNCT
ejpam-5851	200	1	=	=	SYM
ejpam-5851	200	2	i	i	PRON
ejpam-5851	200	3	(	(	PUNCT
ejpam-5851	200	4	(	(	PUNCT
ejpam-5851	200	5	a1	a1	NOUN
ejpam-5851	200	6	−	−	NOUN
ejpam-5851	200	7	1	1	NUM
ejpam-5851	200	8	)	)	PUNCT
ejpam-5851	200	9	j1	j1	PROPN
ejpam-5851	200	10	−	−	PROPN
ejpam-5851	200	11	2j2e	2j2e	PROPN
ejpam-5851	200	12	v2+v4	v2+v4	NOUN
ejpam-5851	200	13	)	)	PUNCT
ejpam-5851	200	14	√	√	PROPN
ejpam-5851	200	15	aθ(2−	aθ(2−	PROPN
ejpam-5851	200	16	bθ	bθ	PROPN
ejpam-5851	200	17	)	)	PUNCT
ejpam-5851	200	18	+	+	CCONJ
ejpam-5851	200	19	ω1(bθ	ω1(bθ	NUM
ejpam-5851	200	20	−	−	PROPN
ejpam-5851	200	21	1)2	1)2	NUM
ejpam-5851	200	22	exp	exp	NOUN
ejpam-5851	200	23	(	(	PUNCT
ejpam-5851	200	24	i(θ(2at−bx)+ω1(t−bθt	i(θ(2at−bx)+ω1(t−bθt	PROPN
ejpam-5851	200	25	)	)	PUNCT
ejpam-5851	200	26	)	)	PUNCT
ejpam-5851	200	27	b	b	X
ejpam-5851	200	28	)	)	PUNCT
ejpam-5851	200	29	√	√	ADV
ejpam-5851	200	30	2	2	NUM
ejpam-5851	200	31	√	√	NOUN
ejpam-5851	200	32	c	c	NOUN
ejpam-5851	200	33	√	√	PROPN
ejpam-5851	200	34	d	d	NOUN
ejpam-5851	200	35	√	√	NUM
ejpam-5851	200	36	b	b	NOUN
ejpam-5851	200	37	(	(	PUNCT
ejpam-5851	200	38	bω1	bω1	NOUN
ejpam-5851	200	39	−	−	NOUN
ejpam-5851	200	40	a	a	NOUN
ejpam-5851	200	41	)	)	PUNCT
ejpam-5851	200	42	(	(	PUNCT
ejpam-5851	200	43	(	(	PUNCT
ejpam-5851	200	44	a1	a1	NOUN
ejpam-5851	200	45	+	+	CCONJ
ejpam-5851	200	46	1	1	NUM
ejpam-5851	200	47	)	)	PUNCT
ejpam-5851	200	48	j1	j1	NOUN
ejpam-5851	200	49	+	+	CCONJ
ejpam-5851	200	50	2j2ev2+v4	2j2ev2+v4	NUM
ejpam-5851	200	51	)	)	PUNCT
ejpam-5851	200	52	,	,	PUNCT
ejpam-5851	200	53	(	(	PUNCT
ejpam-5851	200	54	17	17	NUM
ejpam-5851	200	55	)	)	PUNCT
ejpam-5851	200	56	h1mrk(x	h1mrk(x	PROPN
ejpam-5851	200	57	,	,	PUNCT
ejpam-5851	200	58	t	t	PROPN
ejpam-5851	200	59	)	)	PUNCT
ejpam-5851	200	60	=	=	SYM
ejpam-5851	200	61	(	(	PUNCT
ejpam-5851	200	62	(	(	PUNCT
ejpam-5851	200	63	a1	a1	NOUN
ejpam-5851	200	64	−	−	NOUN
ejpam-5851	200	65	1	1	NUM
ejpam-5851	200	66	)	)	PUNCT
ejpam-5851	200	67	j1	j1	PROPN
ejpam-5851	200	68	−	−	PROPN
ejpam-5851	200	69	2j2e	2j2e	PROPN
ejpam-5851	200	70	v2+v4	v2+v4	NOUN
ejpam-5851	200	71	)	)	PUNCT
ejpam-5851	200	72	2	2	NUM
ejpam-5851	200	73	(	(	PUNCT
ejpam-5851	200	74	aθ(2−	aθ(2−	PROPN
ejpam-5851	200	75	bθ	bθ	PROPN
ejpam-5851	200	76	)	)	PUNCT
ejpam-5851	200	77	+	+	CCONJ
ejpam-5851	200	78	ω1(bθ	ω1(bθ	NUM
ejpam-5851	200	79	−	−	PROPN
ejpam-5851	200	80	1)2	1)2	NUM
ejpam-5851	200	81	)	)	PUNCT
ejpam-5851	200	82	bc	bc	PROPN
ejpam-5851	200	83	(	(	PUNCT
ejpam-5851	200	84	(	(	PUNCT
ejpam-5851	200	85	a1	a1	NOUN
ejpam-5851	200	86	+	+	CCONJ
ejpam-5851	200	87	1	1	NUM
ejpam-5851	200	88	)	)	PUNCT
ejpam-5851	200	89	j1	j1	NOUN
ejpam-5851	200	90	+	+	CCONJ
ejpam-5851	200	91	2j2ev2+v4	2j2ev2+v4	NUM
ejpam-5851	200	92	)	)	PUNCT
ejpam-5851	200	93	2	2	NUM
ejpam-5851	200	94	.	.	PUNCT
ejpam-5851	200	95	(	(	PUNCT
ejpam-5851	200	96	18	18	NUM
ejpam-5851	200	97	)	)	PUNCT
ejpam-5851	200	98	here	here	ADV
ejpam-5851	200	99	,	,	PUNCT
ejpam-5851	200	100	a1	a1	NOUN
ejpam-5851	200	101	=	=	SYM
ejpam-5851	200	102	exp	exp	NOUN
ejpam-5851	200	103	(	(	PUNCT
ejpam-5851	200	104	(	(	PUNCT
ejpam-5851	200	105	x−	x−	PROPN
ejpam-5851	200	106	tω1	tω1	PROPN
ejpam-5851	200	107	)	)	PUNCT
ejpam-5851	200	108	√	√	NOUN
ejpam-5851	200	109	2ω1(bθ	2ω1(bθ	NUM
ejpam-5851	200	110	−	−	PROPN
ejpam-5851	201	1	1)2	1)2	NUM
ejpam-5851	201	2	−	−	NOUN
ejpam-5851	202	1	2aθ(bθ	2aθ(bθ	NUM
ejpam-5851	202	2	−	−	PROPN
ejpam-5851	202	3	2)√	2)√	NUM
ejpam-5851	202	4	b	b	NOUN
ejpam-5851	202	5	(	(	PUNCT
ejpam-5851	202	6	bω1	bω1	NOUN
ejpam-5851	202	7	−	−	NOUN
ejpam-5851	202	8	a	a	NOUN
ejpam-5851	202	9	)	)	PUNCT
ejpam-5851	202	10	+	+	NUM
ejpam-5851	202	11	2v2	2v2	NUM
ejpam-5851	202	12	)	)	PUNCT
ejpam-5851	202	13	.	.	PUNCT
ejpam-5851	203	1	(	(	PUNCT
ejpam-5851	203	2	19	19	NUM
ejpam-5851	203	3	)	)	PUNCT
ejpam-5851	203	4	for	for	ADP
ejpam-5851	203	5	illustration	illustration	NOUN
ejpam-5851	203	6	purposes	purpose	NOUN
ejpam-5851	203	7	,	,	PUNCT
ejpam-5851	203	8	figures	figure	NOUN
ejpam-5851	203	9	3	3	NUM
ejpam-5851	203	10	and	and	CCONJ
ejpam-5851	203	11	4	4	NUM
ejpam-5851	203	12	show	show	VERB
ejpam-5851	203	13	m	m	NOUN
ejpam-5851	203	14	-	-	PUNCT
ejpam-5851	203	15	shaped	shape	VERB
ejpam-5851	203	16	waves	wave	NOUN
ejpam-5851	203	17	obtained	obtain	VERB
ejpam-5851	203	18	from	from	ADP
ejpam-5851	203	19	an	an	DET
ejpam-5851	203	20	interaction	interaction	NOUN
ejpam-5851	203	21	between	between	ADP
ejpam-5851	203	22	m	m	NOUN
ejpam-5851	203	23	-	-	PUNCT
ejpam-5851	203	24	shaped	shape	VERB
ejpam-5851	203	25	with	with	ADP
ejpam-5851	203	26	rogue	rogue	NOUN
ejpam-5851	203	27	and	and	CCONJ
ejpam-5851	203	28	kink	kink	PROPN
ejpam-5851	203	29	waves	wave	NOUN
ejpam-5851	203	30	.	.	PUNCT
ejpam-5851	204	1	in	in	ADP
ejpam-5851	204	2	particular	particular	ADJ
ejpam-5851	204	3	,	,	PUNCT
ejpam-5851	204	4	figure	figure	VERB
ejpam-5851	204	5	3	3	NUM
ejpam-5851	204	6	depicts	depict	VERB
ejpam-5851	204	7	the	the	DET
ejpam-5851	204	8	solution	solution	NOUN
ejpam-5851	204	9	g1mrk(x	g1mrk(x	PROPN
ejpam-5851	204	10	,	,	PUNCT
ejpam-5851	204	11	t	t	PROPN
ejpam-5851	204	12	)	)	PUNCT
ejpam-5851	204	13	corresponding	correspond	VERB
ejpam-5851	204	14	to	to	ADP
ejpam-5851	204	15	equation	equation	NOUN
ejpam-5851	204	16	17	17	NUM
ejpam-5851	204	17	for	for	ADP
ejpam-5851	204	18	the	the	DET
ejpam-5851	204	19	parameter	parameter	NOUN
ejpam-5851	204	20	values	value	VERB
ejpam-5851	204	21	v2	v2	X
ejpam-5851	204	22	=	=	SYM
ejpam-5851	204	23	2.7	2.7	NUM
ejpam-5851	204	24	,	,	PUNCT
ejpam-5851	204	25	v4	v4	NOUN
ejpam-5851	204	26	=	=	SYM
ejpam-5851	204	27	1.7	1.7	NUM
ejpam-5851	204	28	,	,	PUNCT
ejpam-5851	204	29	j1	j1	PROPN
ejpam-5851	204	30	=	=	SYM
ejpam-5851	204	31	0.4	0.4	NUM
ejpam-5851	204	32	,	,	PUNCT
ejpam-5851	204	33	j2	j2	PROPN
ejpam-5851	204	34	=	=	SYM
ejpam-5851	204	35	2.6	2.6	NUM
ejpam-5851	204	36	,	,	PUNCT
ejpam-5851	204	37	a	a	DET
ejpam-5851	204	38	=	=	SYM
ejpam-5851	204	39	5.1	5.1	NUM
ejpam-5851	204	40	,	,	PUNCT
ejpam-5851	204	41	b	b	NOUN
ejpam-5851	204	42	=	=	SYM
ejpam-5851	204	43	3.1	3.1	NUM
ejpam-5851	204	44	,	,	PUNCT
ejpam-5851	204	45	c	c	NOUN
ejpam-5851	204	46	=	=	SYM
ejpam-5851	204	47	5.2	5.2	NUM
ejpam-5851	204	48	,	,	PUNCT
ejpam-5851	204	49	d	d	NOUN
ejpam-5851	204	50	=	=	SYM
ejpam-5851	204	51	1	1	NUM
ejpam-5851	204	52	,	,	PUNCT
ejpam-5851	204	53	ω1	ω1	PROPN
ejpam-5851	204	54	=	=	SYM
ejpam-5851	204	55	0.1	0.1	NUM
ejpam-5851	204	56	and	and	CCONJ
ejpam-5851	204	57	θ	θ	NOUN
ejpam-5851	204	58	=	=	SYM
ejpam-5851	204	59	0.1	0.1	NUM
ejpam-5851	204	60	.	.	PUNCT
ejpam-5851	205	1	figure	figure	NOUN
ejpam-5851	205	2	4	4	NUM
ejpam-5851	205	3	is	be	AUX
ejpam-5851	205	4	obtained	obtain	VERB
ejpam-5851	205	5	from	from	ADP
ejpam-5851	205	6	the	the	DET
ejpam-5851	205	7	solution	solution	NOUN
ejpam-5851	205	8	h1mrk(x	h1mrk(x	PROPN
ejpam-5851	205	9	,	,	PUNCT
ejpam-5851	205	10	t	t	PROPN
ejpam-5851	205	11	)	)	PUNCT
ejpam-5851	205	12	corresponding	correspond	VERB
ejpam-5851	205	13	to	to	ADP
ejpam-5851	205	14	equation	equation	NOUN
ejpam-5851	205	15	18	18	NUM
ejpam-5851	205	16	,	,	PUNCT
ejpam-5851	205	17	for	for	ADP
ejpam-5851	205	18	the	the	DET
ejpam-5851	205	19	same	same	ADJ
ejpam-5851	205	20	parameter	parameter	NOUN
ejpam-5851	205	21	values	value	NOUN
ejpam-5851	205	22	.	.	PUNCT
ejpam-5851	206	1	4.2	4.2	NUM
ejpam-5851	206	2	.	.	PUNCT
ejpam-5851	207	1	multi	multi	ADJ
ejpam-5851	207	2	waves	wave	NOUN
ejpam-5851	207	3	(	(	PUNCT
ejpam-5851	207	4	mu	mu	NOUN
ejpam-5851	207	5	)	)	PUNCT
ejpam-5851	207	6	this	this	DET
ejpam-5851	207	7	pattern	pattern	NOUN
ejpam-5851	207	8	of	of	ADP
ejpam-5851	207	9	waves	wave	NOUN
ejpam-5851	207	10	is	be	AUX
ejpam-5851	207	11	derived	derive	VERB
ejpam-5851	207	12	from	from	ADP
ejpam-5851	207	13	(	(	PUNCT
ejpam-5851	207	14	see	see	VERB
ejpam-5851	207	15	[	[	X
ejpam-5851	207	16	54	54	NUM
ejpam-5851	207	17	]	]	SYM
ejpam-5851	207	18	)	)	PUNCT
ejpam-5851	208	1	φ	φ	PROPN
ejpam-5851	208	2	=	=	PROPN
ejpam-5851	208	3	j2	j2	PROPN
ejpam-5851	208	4	cos	cos	PROPN
ejpam-5851	208	5	(	(	PUNCT
ejpam-5851	208	6	k	k	X
ejpam-5851	208	7	(	(	PUNCT
ejpam-5851	208	8	σv3	σv3	NOUN
ejpam-5851	208	9	+	+	CCONJ
ejpam-5851	208	10	v4	v4	NOUN
ejpam-5851	208	11	)	)	PUNCT
ejpam-5851	208	12	)	)	PUNCT
ejpam-5851	209	1	+	+	CCONJ
ejpam-5851	209	2	j1	j1	PROPN
ejpam-5851	209	3	cosh	cosh	NOUN
ejpam-5851	209	4	(	(	PUNCT
ejpam-5851	209	5	k	k	X
ejpam-5851	209	6	(	(	PUNCT
ejpam-5851	209	7	σv1	σv1	NOUN
ejpam-5851	209	8	+	+	CCONJ
ejpam-5851	209	9	v2	v2	NOUN
ejpam-5851	209	10	)	)	PUNCT
ejpam-5851	209	11	)	)	PUNCT
ejpam-5851	210	1	+	+	CCONJ
ejpam-5851	210	2	j3	j3	PROPN
ejpam-5851	210	3	cosh	cosh	PROPN
ejpam-5851	210	4	(	(	PUNCT
ejpam-5851	210	5	k	k	X
ejpam-5851	210	6	(	(	PUNCT
ejpam-5851	210	7	σv5	σv5	NOUN
ejpam-5851	210	8	+	+	X
ejpam-5851	210	9	v6	v6	NOUN
ejpam-5851	210	10	)	)	PUNCT
ejpam-5851	210	11	)	)	PUNCT
ejpam-5851	210	12	.	.	PUNCT
ejpam-5851	211	1	(	(	PUNCT
ejpam-5851	211	2	20	20	X
ejpam-5851	211	3	)	)	PUNCT
ejpam-5851	211	4	proceeding	proceeding	NOUN
ejpam-5851	211	5	as	as	ADP
ejpam-5851	211	6	in	in	ADP
ejpam-5851	211	7	the	the	DET
ejpam-5851	211	8	previous	previous	ADJ
ejpam-5851	211	9	section	section	NOUN
ejpam-5851	211	10	,	,	PUNCT
ejpam-5851	211	11	we	we	PRON
ejpam-5851	211	12	readily	readily	ADV
ejpam-5851	211	13	obtain	obtain	VERB
ejpam-5851	211	14	the	the	DET
ejpam-5851	211	15	following	follow	VERB
ejpam-5851	211	16	sets	set	NOUN
ejpam-5851	211	17	of	of	ADP
ejpam-5851	211	18	constant	constant	ADJ
ejpam-5851	211	19	values	value	NOUN
ejpam-5851	211	20	:	:	PUNCT
ejpam-5851	211	21	b.	b.	PROPN
ejpam-5851	211	22	ceesay	ceesay	VERB
ejpam-5851	211	23	et	et	PROPN
ejpam-5851	211	24	al	al	PROPN
ejpam-5851	211	25	.	.	PUNCT
ejpam-5851	211	26	/	/	SYM
ejpam-5851	211	27	eur	eur	PROPN
ejpam-5851	211	28	.	.	PUNCT
ejpam-5851	212	1	j.	j.	PROPN
ejpam-5851	212	2	pure	pure	PROPN
ejpam-5851	212	3	appl	appl	PROPN
ejpam-5851	212	4	.	.	PROPN
ejpam-5851	212	5	math	math	PROPN
ejpam-5851	212	6	,	,	PUNCT
ejpam-5851	212	7	18	18	NUM
ejpam-5851	212	8	(	(	PUNCT
ejpam-5851	212	9	2	2	NUM
ejpam-5851	212	10	)	)	PUNCT
ejpam-5851	212	11	(	(	PUNCT
ejpam-5851	212	12	2025	2025	NUM
ejpam-5851	212	13	)	)	PUNCT
ejpam-5851	212	14	,	,	PUNCT
ejpam-5851	212	15	5851	5851	NUM
ejpam-5851	212	16	9	9	NUM
ejpam-5851	212	17	of	of	ADP
ejpam-5851	212	18	32	32	NUM
ejpam-5851	212	19	(	(	PUNCT
ejpam-5851	212	20	a	a	NOUN
ejpam-5851	212	21	)	)	PUNCT
ejpam-5851	212	22	(	(	PUNCT
ejpam-5851	212	23	b	b	X
ejpam-5851	212	24	)	)	PUNCT
ejpam-5851	212	25	(	(	PUNCT
ejpam-5851	212	26	c	c	X
ejpam-5851	212	27	)	)	PUNCT
ejpam-5851	212	28	figure	figure	NOUN
ejpam-5851	212	29	3	3	NUM
ejpam-5851	212	30	:	:	PUNCT
ejpam-5851	212	31	(	(	PUNCT
ejpam-5851	212	32	a	a	X
ejpam-5851	212	33	)	)	PUNCT
ejpam-5851	212	34	three	three	NUM
ejpam-5851	212	35	-	-	PUNCT
ejpam-5851	212	36	dimensional	dimensional	ADJ
ejpam-5851	212	37	plot	plot	NOUN
ejpam-5851	212	38	,	,	PUNCT
ejpam-5851	212	39	(	(	PUNCT
ejpam-5851	212	40	b	b	X
ejpam-5851	212	41	)	)	PUNCT
ejpam-5851	212	42	contour	contour	NOUN
ejpam-5851	212	43	plot	plot	NOUN
ejpam-5851	212	44	and	and	CCONJ
ejpam-5851	212	45	(	(	PUNCT
ejpam-5851	212	46	c	c	NOUN
ejpam-5851	212	47	)	)	PUNCT
ejpam-5851	212	48	density	density	NOUN
ejpam-5851	212	49	plot	plot	NOUN
ejpam-5851	212	50	corresponding	correspond	VERB
ejpam-5851	212	51	to	to	ADP
ejpam-5851	212	52	the	the	DET
ejpam-5851	212	53	function	function	NOUN
ejpam-5851	212	54	g1mrk	g1mrk	PROPN
ejpam-5851	212	55	versus	versus	ADP
ejpam-5851	212	56	x	x	PUNCT
ejpam-5851	212	57	and	and	CCONJ
ejpam-5851	212	58	t.	t.	NOUN
ejpam-5851	212	59	we	we	PRON
ejpam-5851	212	60	used	use	VERB
ejpam-5851	212	61	the	the	DET
ejpam-5851	212	62	parameters	parameter	NOUN
ejpam-5851	212	63	v2	v2	X
ejpam-5851	212	64	=	=	SYM
ejpam-5851	212	65	2.7	2.7	NUM
ejpam-5851	212	66	,	,	PUNCT
ejpam-5851	212	67	v4	v4	NOUN
ejpam-5851	212	68	=	=	SYM
ejpam-5851	212	69	1.7	1.7	NUM
ejpam-5851	212	70	,	,	PUNCT
ejpam-5851	212	71	j1	j1	PROPN
ejpam-5851	212	72	=	=	SYM
ejpam-5851	212	73	0.4	0.4	NUM
ejpam-5851	212	74	,	,	PUNCT
ejpam-5851	212	75	j2	j2	PROPN
ejpam-5851	212	76	=	=	SYM
ejpam-5851	212	77	2.6	2.6	NUM
ejpam-5851	212	78	,	,	PUNCT
ejpam-5851	212	79	a	a	DET
ejpam-5851	212	80	=	=	SYM
ejpam-5851	212	81	5.1	5.1	NUM
ejpam-5851	212	82	,	,	PUNCT
ejpam-5851	212	83	b	b	NOUN
ejpam-5851	212	84	=	=	SYM
ejpam-5851	212	85	3.1	3.1	NUM
ejpam-5851	212	86	,	,	PUNCT
ejpam-5851	212	87	c	c	NOUN
ejpam-5851	212	88	=	=	SYM
ejpam-5851	212	89	5.2	5.2	NUM
ejpam-5851	212	90	,	,	PUNCT
ejpam-5851	212	91	d	d	NOUN
ejpam-5851	212	92	=	=	SYM
ejpam-5851	212	93	1	1	NUM
ejpam-5851	212	94	,	,	PUNCT
ejpam-5851	212	95	ω1	ω1	PROPN
ejpam-5851	212	96	=	=	SYM
ejpam-5851	212	97	0.1	0.1	NUM
ejpam-5851	212	98	and	and	CCONJ
ejpam-5851	212	99	θ	θ	NOUN
ejpam-5851	212	100	=	=	SYM
ejpam-5851	212	101	0.1	0.1	NUM
ejpam-5851	212	102	.	.	PUNCT
ejpam-5851	213	1	(	(	PUNCT
ejpam-5851	213	2	a	a	X
ejpam-5851	213	3	)	)	PUNCT
ejpam-5851	213	4	(	(	PUNCT
ejpam-5851	213	5	b	b	X
ejpam-5851	213	6	)	)	PUNCT
ejpam-5851	213	7	(	(	PUNCT
ejpam-5851	213	8	c	c	X
ejpam-5851	213	9	)	)	PUNCT
ejpam-5851	213	10	figure	figure	NOUN
ejpam-5851	213	11	4	4	NUM
ejpam-5851	213	12	:	:	PUNCT
ejpam-5851	213	13	(	(	PUNCT
ejpam-5851	213	14	a	a	X
ejpam-5851	213	15	)	)	PUNCT
ejpam-5851	213	16	three	three	NUM
ejpam-5851	213	17	-	-	PUNCT
ejpam-5851	213	18	dimensional	dimensional	ADJ
ejpam-5851	213	19	plot	plot	NOUN
ejpam-5851	213	20	,	,	PUNCT
ejpam-5851	213	21	(	(	PUNCT
ejpam-5851	213	22	b	b	X
ejpam-5851	213	23	)	)	PUNCT
ejpam-5851	213	24	contour	contour	NOUN
ejpam-5851	213	25	plot	plot	NOUN
ejpam-5851	213	26	and	and	CCONJ
ejpam-5851	213	27	(	(	PUNCT
ejpam-5851	213	28	c	c	NOUN
ejpam-5851	213	29	)	)	PUNCT
ejpam-5851	213	30	density	density	NOUN
ejpam-5851	213	31	plot	plot	NOUN
ejpam-5851	213	32	corresponding	correspond	VERB
ejpam-5851	213	33	to	to	ADP
ejpam-5851	213	34	the	the	DET
ejpam-5851	213	35	function	function	NOUN
ejpam-5851	213	36	h1mrk	h1mrk	PROPN
ejpam-5851	213	37	versus	versus	ADP
ejpam-5851	213	38	x	x	PUNCT
ejpam-5851	213	39	and	and	CCONJ
ejpam-5851	213	40	t.	t.	NOUN
ejpam-5851	213	41	we	we	PRON
ejpam-5851	213	42	used	use	VERB
ejpam-5851	213	43	the	the	DET
ejpam-5851	213	44	parameters	parameter	NOUN
ejpam-5851	214	1	v2	v2	X
ejpam-5851	214	2	=	=	SYM
ejpam-5851	214	3	2.7	2.7	NUM
ejpam-5851	214	4	,	,	PUNCT
ejpam-5851	214	5	v4	v4	NOUN
ejpam-5851	214	6	=	=	SYM
ejpam-5851	214	7	1.7	1.7	NUM
ejpam-5851	214	8	,	,	PUNCT
ejpam-5851	214	9	j1	j1	PROPN
ejpam-5851	214	10	=	=	SYM
ejpam-5851	214	11	0.4	0.4	NUM
ejpam-5851	214	12	,	,	PUNCT
ejpam-5851	214	13	j2	j2	PROPN
ejpam-5851	214	14	=	=	SYM
ejpam-5851	214	15	2.6	2.6	NUM
ejpam-5851	214	16	,	,	PUNCT
ejpam-5851	214	17	a	a	DET
ejpam-5851	214	18	=	=	SYM
ejpam-5851	214	19	5.1	5.1	NUM
ejpam-5851	214	20	,	,	PUNCT
ejpam-5851	214	21	b	b	NOUN
ejpam-5851	214	22	=	=	SYM
ejpam-5851	214	23	3.1	3.1	NUM
ejpam-5851	214	24	,	,	PUNCT
ejpam-5851	214	25	c	c	NOUN
ejpam-5851	214	26	=	=	SYM
ejpam-5851	214	27	5.2	5.2	NUM
ejpam-5851	214	28	,	,	PUNCT
ejpam-5851	214	29	d	d	NOUN
ejpam-5851	214	30	=	=	SYM
ejpam-5851	214	31	1	1	NUM
ejpam-5851	214	32	,	,	PUNCT
ejpam-5851	214	33	ω1	ω1	PROPN
ejpam-5851	214	34	=	=	SYM
ejpam-5851	214	35	0.1	0.1	NUM
ejpam-5851	214	36	and	and	CCONJ
ejpam-5851	214	37	θ	θ	NOUN
ejpam-5851	214	38	=	=	SYM
ejpam-5851	214	39	0.1	0.1	NUM
ejpam-5851	214	40	.	.	PUNCT
ejpam-5851	215	1	family	family	NOUN
ejpam-5851	215	2	1	1	NUM
ejpam-5851	215	3	.	.	PUNCT
ejpam-5851	216	1	j1	j1	PROPN
ejpam-5851	216	2	=	=	SYM
ejpam-5851	216	3	0	0	NUM
ejpam-5851	216	4	,	,	PUNCT
ejpam-5851	216	5	v3	v3	PROPN
ejpam-5851	216	6	=	=	PROPN
ejpam-5851	216	7	√	√	PROPN
ejpam-5851	216	8	−abθ2	−abθ2	NOUN
ejpam-5851	216	9	+	+	CCONJ
ejpam-5851	217	1	2aθ	2aθ	NOUN
ejpam-5851	218	1	+	+	CCONJ
ejpam-5851	218	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	218	3	−	−	PROPN
ejpam-5851	218	4	2bθω1	2bθω1	NUM
ejpam-5851	218	5	+	+	CCONJ
ejpam-5851	218	6	ω1√	ω1√	PROPN
ejpam-5851	218	7	2	2	NUM
ejpam-5851	218	8	√	√	NOUN
ejpam-5851	218	9	abk2	abk2	NOUN
ejpam-5851	218	10	−	−	NOUN
ejpam-5851	218	11	b2k2ω1	b2k2ω1	NOUN
ejpam-5851	218	12	,	,	PUNCT
ejpam-5851	218	13	v5	v5	PROPN
ejpam-5851	218	14	=	=	SYM
ejpam-5851	218	15	−	−	PROPN
ejpam-5851	218	16	√	√	PROPN
ejpam-5851	218	17	−abθ2	−abθ2	NOUN
ejpam-5851	219	1	+	+	CCONJ
ejpam-5851	219	2	2aθ	2aθ	NOUN
ejpam-5851	219	3	+	+	CCONJ
ejpam-5851	219	4	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	219	5	−	−	PROPN
ejpam-5851	220	1	2bθω1	2bθω1	NUM
ejpam-5851	220	2	+	+	CCONJ
ejpam-5851	220	3	ω1√	ω1√	VERB
ejpam-5851	220	4	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	220	5	−	−	PROPN
ejpam-5851	220	6	2abk2	2abk2	NUM
ejpam-5851	220	7	,	,	PUNCT
ejpam-5851	220	8	r	r	NOUN
ejpam-5851	220	9	=	=	PUNCT
ejpam-5851	220	10	−	−	PROPN
ejpam-5851	221	1	i	i	PRON
ejpam-5851	221	2	√	√	VERB
ejpam-5851	221	3	c	c	NOUN
ejpam-5851	221	4	√	√	NUM
ejpam-5851	221	5	d	d	NOUN
ejpam-5851	221	6	.	.	PUNCT
ejpam-5851	222	1	substituting	substitute	VERB
ejpam-5851	222	2	them	they	PRON
ejpam-5851	222	3	into	into	ADP
ejpam-5851	222	4	equation	equation	NOUN
ejpam-5851	222	5	(	(	PUNCT
ejpam-5851	222	6	20	20	NUM
ejpam-5851	222	7	)	)	PUNCT
ejpam-5851	222	8	and	and	CCONJ
ejpam-5851	222	9	then	then	ADV
ejpam-5851	222	10	the	the	DET
ejpam-5851	222	11	outcome	outcome	NOUN
ejpam-5851	222	12	in	in	ADP
ejpam-5851	222	13	equation	equation	NOUN
ejpam-5851	222	14	(	(	PUNCT
ejpam-5851	222	15	12	12	NUM
ejpam-5851	222	16	)	)	PUNCT
ejpam-5851	222	17	,	,	PUNCT
ejpam-5851	222	18	we	we	PRON
ejpam-5851	222	19	have	have	VERB
ejpam-5851	222	20	λ1mu	λ1mu	PUNCT
ejpam-5851	222	21	(	(	PUNCT
ejpam-5851	222	22	σ	σ	NOUN
ejpam-5851	222	23	)	)	PUNCT
ejpam-5851	222	24	=	=	SYM
ejpam-5851	222	25	ik	ik	PROPN
ejpam-5851	222	26	√	√	PROPN
ejpam-5851	222	27	aθ(2−	aθ(2−	PROPN
ejpam-5851	222	28	bθ	bθ	PROPN
ejpam-5851	222	29	)	)	PUNCT
ejpam-5851	223	1	+	+	CCONJ
ejpam-5851	223	2	ω1(bθ	ω1(bθ	NUM
ejpam-5851	223	3	−	−	PROPN
ejpam-5851	223	4	1)2	1)2	NUM
ejpam-5851	223	5	(	(	PUNCT
ejpam-5851	223	6	j2	j2	PROPN
ejpam-5851	223	7	sin	sin	NOUN
ejpam-5851	223	8	(	(	PUNCT
ejpam-5851	223	9	a3k	a3k	NOUN
ejpam-5851	223	10	)	)	PUNCT
ejpam-5851	223	11	√	√	NOUN
ejpam-5851	224	1	bk2	bk2	NOUN
ejpam-5851	224	2	(	(	PUNCT
ejpam-5851	224	3	bω1	bω1	NOUN
ejpam-5851	224	4	−	−	NOUN
ejpam-5851	224	5	a	a	NOUN
ejpam-5851	224	6	)	)	PUNCT
ejpam-5851	224	7	+	+	CCONJ
ejpam-5851	224	8	j3	j3	PROPN
ejpam-5851	224	9	sinh	sinh	PROPN
ejpam-5851	224	10	(	(	PUNCT
ejpam-5851	224	11	a2k	a2k	PROPN
ejpam-5851	224	12	)	)	PUNCT
ejpam-5851	224	13	√	√	NOUN
ejpam-5851	225	1	bk2	bk2	NOUN
ejpam-5851	225	2	(	(	PUNCT
ejpam-5851	225	3	a−	a−	PROPN
ejpam-5851	225	4	bω1	bω1	NOUN
ejpam-5851	225	5	)	)	PUNCT
ejpam-5851	225	6	)	)	PUNCT
ejpam-5851	226	1	√	√	ADV
ejpam-5851	226	2	2	2	NUM
ejpam-5851	227	1	√	√	NUM
ejpam-5851	227	2	c	c	NOUN
ejpam-5851	228	1	√	√	PROPN
ejpam-5851	228	2	d	d	NOUN
ejpam-5851	228	3	√	√	PROPN
ejpam-5851	228	4	−b2k4	−b2k4	PROPN
ejpam-5851	228	5	(	(	PUNCT
ejpam-5851	228	6	a−	a−	PROPN
ejpam-5851	228	7	bω1	bω1	NOUN
ejpam-5851	228	8	)	)	PUNCT
ejpam-5851	228	9	2	2	NUM
ejpam-5851	228	10	(	(	PUNCT
ejpam-5851	228	11	j2	j2	PROPN
ejpam-5851	228	12	cos	cos	PROPN
ejpam-5851	228	13	(	(	PUNCT
ejpam-5851	228	14	a3k	a3k	PROPN
ejpam-5851	228	15	)	)	PUNCT
ejpam-5851	228	16	+	+	CCONJ
ejpam-5851	228	17	j3	j3	PROPN
ejpam-5851	228	18	cosh	cosh	PROPN
ejpam-5851	228	19	(	(	PUNCT
ejpam-5851	228	20	a2k	a2k	ADJ
ejpam-5851	228	21	)	)	PUNCT
ejpam-5851	228	22	)	)	PUNCT
ejpam-5851	228	23	.	.	PUNCT
ejpam-5851	229	1	(	(	PUNCT
ejpam-5851	229	2	21	21	NUM
ejpam-5851	229	3	)	)	PUNCT
ejpam-5851	229	4	substituting	substitute	VERB
ejpam-5851	229	5	equation	equation	NOUN
ejpam-5851	229	6	(	(	PUNCT
ejpam-5851	229	7	21	21	NUM
ejpam-5851	229	8	)	)	PUNCT
ejpam-5851	229	9	into	into	ADP
ejpam-5851	229	10	equation	equation	NOUN
ejpam-5851	229	11	(	(	PUNCT
ejpam-5851	229	12	10	10	NUM
ejpam-5851	229	13	)	)	PUNCT
ejpam-5851	229	14	yields	yield	NOUN
ejpam-5851	229	15	∆1mu	∆1mu	NOUN
ejpam-5851	229	16	(	(	PUNCT
ejpam-5851	229	17	σ	σ	NOUN
ejpam-5851	229	18	)	)	PUNCT
ejpam-5851	229	19	=	=	PRON
ejpam-5851	230	1	(	(	PUNCT
ejpam-5851	230	2	aθ(bθ	aθ(bθ	VERB
ejpam-5851	230	3	−	−	PUNCT
ejpam-5851	230	4	2)−	2)−	NUM
ejpam-5851	230	5	ω1(bθ	ω1(bθ	NUM
ejpam-5851	230	6	−	−	PROPN
ejpam-5851	230	7	1)2	1)2	NUM
ejpam-5851	230	8	)	)	PUNCT
ejpam-5851	231	1	(	(	PUNCT
ejpam-5851	231	2	j2	j2	PROPN
ejpam-5851	231	3	sin	sin	NOUN
ejpam-5851	231	4	(	(	PUNCT
ejpam-5851	231	5	a3k	a3k	NOUN
ejpam-5851	231	6	)	)	PUNCT
ejpam-5851	231	7	√	√	NOUN
ejpam-5851	231	8	bk2	bk2	NOUN
ejpam-5851	231	9	(	(	PUNCT
ejpam-5851	231	10	bω1	bω1	NOUN
ejpam-5851	231	11	−	−	NOUN
ejpam-5851	231	12	a	a	NOUN
ejpam-5851	231	13	)	)	PUNCT
ejpam-5851	231	14	+	+	CCONJ
ejpam-5851	231	15	j3	j3	PROPN
ejpam-5851	231	16	sinh	sinh	PROPN
ejpam-5851	231	17	(	(	PUNCT
ejpam-5851	231	18	a2k	a2k	PROPN
ejpam-5851	231	19	)	)	PUNCT
ejpam-5851	231	20	√	√	NOUN
ejpam-5851	232	1	bk2	bk2	NOUN
ejpam-5851	232	2	(	(	PUNCT
ejpam-5851	232	3	a−	a−	PROPN
ejpam-5851	232	4	bω1	bω1	NOUN
ejpam-5851	232	5	)	)	PUNCT
ejpam-5851	232	6	)	)	PUNCT
ejpam-5851	232	7	2	2	NUM
ejpam-5851	232	8	b2ck2	b2ck2	NOUN
ejpam-5851	232	9	(	(	PUNCT
ejpam-5851	232	10	bω1	bω1	INTJ
ejpam-5851	232	11	−	−	NOUN
ejpam-5851	232	12	a	a	NOUN
ejpam-5851	232	13	)	)	PUNCT
ejpam-5851	232	14	(	(	PUNCT
ejpam-5851	232	15	j2	j2	PROPN
ejpam-5851	232	16	cos	cos	PROPN
ejpam-5851	232	17	(	(	PUNCT
ejpam-5851	232	18	a3k	a3k	PROPN
ejpam-5851	232	19	)	)	PUNCT
ejpam-5851	232	20	+	+	CCONJ
ejpam-5851	232	21	j3	j3	PROPN
ejpam-5851	232	22	cosh	cosh	PROPN
ejpam-5851	232	23	(	(	PUNCT
ejpam-5851	232	24	a2k	a2k	PROPN
ejpam-5851	232	25	)	)	PUNCT
ejpam-5851	232	26	)	)	PUNCT
ejpam-5851	232	27	2	2	NUM
ejpam-5851	232	28	,	,	PUNCT
ejpam-5851	232	29	(	(	PUNCT
ejpam-5851	232	30	22	22	NUM
ejpam-5851	232	31	)	)	PUNCT
ejpam-5851	232	32	b.	b.	PROPN
ejpam-5851	233	1	ceesay	ceesay	PROPN
ejpam-5851	233	2	et	et	PROPN
ejpam-5851	233	3	al	al	PROPN
ejpam-5851	233	4	.	.	PUNCT
ejpam-5851	233	5	/	/	SYM
ejpam-5851	233	6	eur	eur	PROPN
ejpam-5851	233	7	.	.	PUNCT
ejpam-5851	234	1	j.	j.	PROPN
ejpam-5851	234	2	pure	pure	PROPN
ejpam-5851	234	3	appl	appl	PROPN
ejpam-5851	234	4	.	.	PROPN
ejpam-5851	234	5	math	math	PROPN
ejpam-5851	234	6	,	,	PUNCT
ejpam-5851	234	7	18	18	NUM
ejpam-5851	234	8	(	(	PUNCT
ejpam-5851	234	9	2	2	NUM
ejpam-5851	234	10	)	)	PUNCT
ejpam-5851	234	11	(	(	PUNCT
ejpam-5851	234	12	2025	2025	NUM
ejpam-5851	234	13	)	)	PUNCT
ejpam-5851	234	14	,	,	PUNCT
ejpam-5851	234	15	5851	5851	NUM
ejpam-5851	234	16	10	10	NUM
ejpam-5851	234	17	of	of	ADP
ejpam-5851	234	18	32	32	NUM
ejpam-5851	234	19	(	(	PUNCT
ejpam-5851	234	20	a	a	NOUN
ejpam-5851	234	21	)	)	PUNCT
ejpam-5851	234	22	(	(	PUNCT
ejpam-5851	234	23	b	b	X
ejpam-5851	234	24	)	)	PUNCT
ejpam-5851	234	25	(	(	PUNCT
ejpam-5851	234	26	c	c	X
ejpam-5851	234	27	)	)	PUNCT
ejpam-5851	234	28	figure	figure	NOUN
ejpam-5851	234	29	5	5	NUM
ejpam-5851	234	30	:	:	PUNCT
ejpam-5851	234	31	(	(	PUNCT
ejpam-5851	234	32	a	a	X
ejpam-5851	234	33	)	)	PUNCT
ejpam-5851	234	34	three	three	NUM
ejpam-5851	234	35	-	-	PUNCT
ejpam-5851	234	36	dimensional	dimensional	ADJ
ejpam-5851	234	37	plot	plot	NOUN
ejpam-5851	234	38	,	,	PUNCT
ejpam-5851	234	39	(	(	PUNCT
ejpam-5851	234	40	b	b	X
ejpam-5851	234	41	)	)	PUNCT
ejpam-5851	234	42	contour	contour	NOUN
ejpam-5851	234	43	plot	plot	NOUN
ejpam-5851	234	44	and	and	CCONJ
ejpam-5851	234	45	(	(	PUNCT
ejpam-5851	234	46	c	c	NOUN
ejpam-5851	234	47	)	)	PUNCT
ejpam-5851	234	48	density	density	NOUN
ejpam-5851	234	49	plot	plot	NOUN
ejpam-5851	234	50	corresponding	correspond	VERB
ejpam-5851	234	51	to	to	ADP
ejpam-5851	234	52	the	the	DET
ejpam-5851	234	53	function	function	NOUN
ejpam-5851	234	54	g1mu	g1mu	X
ejpam-5851	234	55	versus	versus	X
ejpam-5851	234	56	x	x	PUNCT
ejpam-5851	234	57	and	and	CCONJ
ejpam-5851	234	58	t.	t.	NOUN
ejpam-5851	234	59	we	we	PRON
ejpam-5851	234	60	used	use	VERB
ejpam-5851	234	61	the	the	DET
ejpam-5851	234	62	parameters	parameter	NOUN
ejpam-5851	234	63	v4	v4	X
ejpam-5851	234	64	=	=	SYM
ejpam-5851	234	65	5.1	5.1	NUM
ejpam-5851	234	66	,	,	PUNCT
ejpam-5851	234	67	v6	v6	NOUN
ejpam-5851	234	68	=	=	NOUN
ejpam-5851	234	69	6.7	6.7	NUM
ejpam-5851	234	70	,	,	PUNCT
ejpam-5851	234	71	j2	j2	PROPN
ejpam-5851	234	72	=	=	SYM
ejpam-5851	234	73	4.6	4.6	NUM
ejpam-5851	234	74	,	,	PUNCT
ejpam-5851	234	75	j3	j3	PROPN
ejpam-5851	234	76	=	=	PROPN
ejpam-5851	234	77	8.4	8.4	NUM
ejpam-5851	234	78	,	,	PUNCT
ejpam-5851	234	79	a	a	DET
ejpam-5851	234	80	=	=	SYM
ejpam-5851	234	81	4.4	4.4	NUM
ejpam-5851	234	82	,	,	PUNCT
ejpam-5851	234	83	b	b	NOUN
ejpam-5851	234	84	=	=	SYM
ejpam-5851	234	85	0.7	0.7	NUM
ejpam-5851	234	86	,	,	PUNCT
ejpam-5851	234	87	c	c	NOUN
ejpam-5851	234	88	=	=	SYM
ejpam-5851	234	89	8.9	8.9	NUM
ejpam-5851	234	90	,	,	PUNCT
ejpam-5851	234	91	d	d	NOUN
ejpam-5851	234	92	=	=	SYM
ejpam-5851	234	93	1	1	NUM
ejpam-5851	234	94	,	,	PUNCT
ejpam-5851	234	95	k	k	NOUN
ejpam-5851	234	96	=	=	SYM
ejpam-5851	234	97	0.1	0.1	NUM
ejpam-5851	234	98	,	,	PUNCT
ejpam-5851	234	99	ω1	ω1	PROPN
ejpam-5851	234	100	=	=	SYM
ejpam-5851	234	101	1.1	1.1	NUM
ejpam-5851	234	102	and	and	CCONJ
ejpam-5851	234	103	θ	θ	NOUN
ejpam-5851	234	104	=	=	SYM
ejpam-5851	234	105	0.9	0.9	NUM
ejpam-5851	234	106	.	.	PUNCT
ejpam-5851	235	1	(	(	PUNCT
ejpam-5851	235	2	a	a	X
ejpam-5851	235	3	)	)	PUNCT
ejpam-5851	235	4	(	(	PUNCT
ejpam-5851	235	5	b	b	X
ejpam-5851	235	6	)	)	PUNCT
ejpam-5851	235	7	(	(	PUNCT
ejpam-5851	235	8	c	c	X
ejpam-5851	235	9	)	)	PUNCT
ejpam-5851	235	10	figure	figure	NOUN
ejpam-5851	235	11	6	6	NUM
ejpam-5851	235	12	:	:	PUNCT
ejpam-5851	235	13	(	(	PUNCT
ejpam-5851	235	14	a	a	X
ejpam-5851	235	15	)	)	PUNCT
ejpam-5851	235	16	three	three	NUM
ejpam-5851	235	17	-	-	PUNCT
ejpam-5851	235	18	dimensional	dimensional	ADJ
ejpam-5851	235	19	plot	plot	NOUN
ejpam-5851	235	20	,	,	PUNCT
ejpam-5851	235	21	(	(	PUNCT
ejpam-5851	235	22	b	b	X
ejpam-5851	235	23	)	)	PUNCT
ejpam-5851	235	24	contour	contour	NOUN
ejpam-5851	235	25	plot	plot	NOUN
ejpam-5851	235	26	and	and	CCONJ
ejpam-5851	235	27	(	(	PUNCT
ejpam-5851	235	28	c	c	NOUN
ejpam-5851	235	29	)	)	PUNCT
ejpam-5851	235	30	density	density	NOUN
ejpam-5851	235	31	plot	plot	NOUN
ejpam-5851	235	32	corresponding	correspond	VERB
ejpam-5851	235	33	to	to	ADP
ejpam-5851	235	34	the	the	DET
ejpam-5851	235	35	function	function	NOUN
ejpam-5851	235	36	h1mu	h1mu	PUNCT
ejpam-5851	235	37	versus	versus	X
ejpam-5851	235	38	x	x	PUNCT
ejpam-5851	235	39	and	and	CCONJ
ejpam-5851	235	40	t.	t.	NOUN
ejpam-5851	235	41	we	we	PRON
ejpam-5851	235	42	used	use	VERB
ejpam-5851	235	43	the	the	DET
ejpam-5851	235	44	parameters	parameter	NOUN
ejpam-5851	235	45	v4	v4	X
ejpam-5851	235	46	=	=	SYM
ejpam-5851	235	47	5.1	5.1	NUM
ejpam-5851	235	48	,	,	PUNCT
ejpam-5851	235	49	v6	v6	NOUN
ejpam-5851	235	50	=	=	NOUN
ejpam-5851	235	51	6.7	6.7	NUM
ejpam-5851	235	52	,	,	PUNCT
ejpam-5851	235	53	j2	j2	PROPN
ejpam-5851	235	54	=	=	SYM
ejpam-5851	235	55	4.6	4.6	NUM
ejpam-5851	235	56	,	,	PUNCT
ejpam-5851	235	57	j3	j3	PROPN
ejpam-5851	235	58	=	=	PROPN
ejpam-5851	235	59	8.4	8.4	NUM
ejpam-5851	235	60	,	,	PUNCT
ejpam-5851	235	61	a	a	DET
ejpam-5851	235	62	=	=	SYM
ejpam-5851	235	63	4.4	4.4	NUM
ejpam-5851	235	64	,	,	PUNCT
ejpam-5851	235	65	b	b	NOUN
ejpam-5851	235	66	=	=	SYM
ejpam-5851	235	67	0.7	0.7	NUM
ejpam-5851	235	68	,	,	PUNCT
ejpam-5851	235	69	c	c	NOUN
ejpam-5851	235	70	=	=	SYM
ejpam-5851	235	71	8.9	8.9	NUM
ejpam-5851	235	72	,	,	PUNCT
ejpam-5851	235	73	d	d	NOUN
ejpam-5851	235	74	=	=	SYM
ejpam-5851	235	75	1	1	NUM
ejpam-5851	235	76	,	,	PUNCT
ejpam-5851	235	77	k	k	NOUN
ejpam-5851	235	78	=	=	SYM
ejpam-5851	235	79	0.1	0.1	NUM
ejpam-5851	235	80	,	,	PUNCT
ejpam-5851	235	81	ω1	ω1	PROPN
ejpam-5851	235	82	=	=	SYM
ejpam-5851	235	83	1.1	1.1	NUM
ejpam-5851	235	84	and	and	CCONJ
ejpam-5851	235	85	θ	θ	NOUN
ejpam-5851	235	86	=	=	SYM
ejpam-5851	235	87	0.9	0.9	NUM
ejpam-5851	235	88	.	.	PUNCT
ejpam-5851	236	1	where	where	SCONJ
ejpam-5851	236	2	a2	a2	PROPN
ejpam-5851	236	3	=	=	SYM
ejpam-5851	236	4	v6	v6	PROPN
ejpam-5851	236	5	−	−	PROPN
ejpam-5851	236	6	σ	σ	PROPN
ejpam-5851	236	7	√	√	PROPN
ejpam-5851	236	8	aθ(2−	aθ(2−	PROPN
ejpam-5851	236	9	bθ	bθ	PROPN
ejpam-5851	236	10	)	)	PUNCT
ejpam-5851	237	1	+	+	CCONJ
ejpam-5851	238	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	238	2	−	−	PROPN
ejpam-5851	239	1	1)2	1)2	NUM
ejpam-5851	239	2	√	√	NUM
ejpam-5851	239	3	2	2	NUM
ejpam-5851	239	4	√	√	NUM
ejpam-5851	239	5	bk2	bk2	NOUN
ejpam-5851	239	6	(	(	PUNCT
ejpam-5851	239	7	bω1	bω1	NOUN
ejpam-5851	239	8	−	−	PROPN
ejpam-5851	239	9	a	a	NOUN
ejpam-5851	239	10	)	)	PUNCT
ejpam-5851	239	11	,	,	PUNCT
ejpam-5851	239	12	(	(	PUNCT
ejpam-5851	239	13	23	23	NUM
ejpam-5851	239	14	)	)	PUNCT
ejpam-5851	239	15	a3	a3	NOUN
ejpam-5851	240	1	=	=	PUNCT
ejpam-5851	240	2	σ	σ	PROPN
ejpam-5851	240	3	√	√	PROPN
ejpam-5851	240	4	aθ(2−	aθ(2−	PROPN
ejpam-5851	240	5	bθ	bθ	PROPN
ejpam-5851	240	6	)	)	PUNCT
ejpam-5851	241	1	+	+	CCONJ
ejpam-5851	242	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	242	2	−	−	PROPN
ejpam-5851	243	1	1)2	1)2	NUM
ejpam-5851	243	2	√	√	NUM
ejpam-5851	243	3	2	2	NUM
ejpam-5851	243	4	√	√	NUM
ejpam-5851	243	5	bk2	bk2	NOUN
ejpam-5851	243	6	(	(	PUNCT
ejpam-5851	243	7	a−	a−	PROPN
ejpam-5851	243	8	bω1	bω1	NOUN
ejpam-5851	243	9	)	)	PUNCT
ejpam-5851	244	1	+	+	SYM
ejpam-5851	244	2	v4	v4	NOUN
ejpam-5851	244	3	.	.	PUNCT
ejpam-5851	245	1	(	(	PUNCT
ejpam-5851	245	2	24	24	NUM
ejpam-5851	245	3	)	)	PUNCT
ejpam-5851	245	4	substituting	substitute	VERB
ejpam-5851	245	5	equations	equation	NOUN
ejpam-5851	245	6	(	(	PUNCT
ejpam-5851	245	7	21	21	NUM
ejpam-5851	245	8	)	)	PUNCT
ejpam-5851	245	9	and	and	CCONJ
ejpam-5851	245	10	(	(	PUNCT
ejpam-5851	245	11	22	22	NUM
ejpam-5851	245	12	)	)	PUNCT
ejpam-5851	245	13	into	into	ADP
ejpam-5851	245	14	equation	equation	NOUN
ejpam-5851	245	15	(	(	PUNCT
ejpam-5851	245	16	5	5	X
ejpam-5851	245	17	)	)	PUNCT
ejpam-5851	245	18	gives	give	VERB
ejpam-5851	245	19	the	the	DET
ejpam-5851	245	20	mu	mu	PROPN
ejpam-5851	245	21	wave	wave	NOUN
ejpam-5851	245	22	solutions	solution	NOUN
ejpam-5851	245	23	for	for	ADP
ejpam-5851	245	24	equation	equation	NOUN
ejpam-5851	245	25	(	(	PUNCT
ejpam-5851	245	26	1	1	NUM
ejpam-5851	245	27	):	):	PUNCT
ejpam-5851	245	28	g1mu	g1mu	X
ejpam-5851	245	29	(	(	PUNCT
ejpam-5851	245	30	x	x	X
ejpam-5851	245	31	,	,	PUNCT
ejpam-5851	245	32	t	t	PROPN
ejpam-5851	245	33	)	)	PUNCT
ejpam-5851	245	34	=	=	PUNCT
ejpam-5851	246	1	ia6k	ia6k	NOUN
ejpam-5851	246	2	√	√	NUM
ejpam-5851	246	3	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	246	4	(	(	PUNCT
ejpam-5851	246	5	j2	j2	PROPN
ejpam-5851	246	6	sin(a5k	sin(a5k	PROPN
ejpam-5851	246	7	)	)	PUNCT
ejpam-5851	246	8	√	√	X
ejpam-5851	247	1	bk2(bω1−a)+j3	bk2(bω1−a)+j3	PROPN
ejpam-5851	247	2	sinh(a4k	sinh(a4k	NOUN
ejpam-5851	247	3	)	)	PUNCT
ejpam-5851	247	4	√	√	NUM
ejpam-5851	247	5	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	247	6	)	)	PUNCT
ejpam-5851	247	7	)	)	PUNCT
ejpam-5851	248	1	√	√	ADV
ejpam-5851	248	2	2	2	NUM
ejpam-5851	249	1	√	√	NUM
ejpam-5851	249	2	c	c	NOUN
ejpam-5851	250	1	√	√	PROPN
ejpam-5851	250	2	d	d	NOUN
ejpam-5851	250	3	√	√	PROPN
ejpam-5851	250	4	−b2k4(a−bω1)2(j2	−b2k4(a−bω1)2(j2	NUM
ejpam-5851	250	5	cos(a5k)+j3	cos(a5k)+j3	PROPN
ejpam-5851	250	6	cosh(a4k	cosh(a4k	PROPN
ejpam-5851	250	7	)	)	PUNCT
ejpam-5851	250	8	)	)	PUNCT
ejpam-5851	251	1	,	,	PUNCT
ejpam-5851	251	2	(	(	PUNCT
ejpam-5851	251	3	25	25	NUM
ejpam-5851	251	4	)	)	PUNCT
ejpam-5851	251	5	h1mu	h1mu	PUNCT
ejpam-5851	252	1	(	(	PUNCT
ejpam-5851	252	2	x	x	X
ejpam-5851	252	3	,	,	PUNCT
ejpam-5851	252	4	t	t	PROPN
ejpam-5851	252	5	)	)	PUNCT
ejpam-5851	252	6	=	=	PRON
ejpam-5851	252	7	(	(	PUNCT
ejpam-5851	252	8	aθ(bθ−2)−ω1(bθ−1)2	aθ(bθ−2)−ω1(bθ−1)2	PROPN
ejpam-5851	252	9	)	)	PUNCT
ejpam-5851	252	10	(	(	PUNCT
ejpam-5851	252	11	j2	j2	PROPN
ejpam-5851	252	12	sin(a5k	sin(a5k	PROPN
ejpam-5851	252	13	)	)	PUNCT
ejpam-5851	252	14	√	√	X
ejpam-5851	252	15	bk2(bω1−a)+j3	bk2(bω1−a)+j3	PROPN
ejpam-5851	252	16	sinh(a4k	sinh(a4k	NOUN
ejpam-5851	252	17	)	)	PUNCT
ejpam-5851	252	18	√	√	NUM
ejpam-5851	252	19	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	252	20	)	)	PUNCT
ejpam-5851	252	21	)	)	PUNCT
ejpam-5851	252	22	2	2	NUM
ejpam-5851	252	23	b2ck2(bω1−a)(j2	b2ck2(bω1−a)(j2	PROPN
ejpam-5851	252	24	cos(a5k)+j3	cos(a5k)+j3	PROPN
ejpam-5851	252	25	cosh(a4k))2	cosh(a4k))2	NOUN
ejpam-5851	252	26	,	,	PUNCT
ejpam-5851	252	27	(	(	PUNCT
ejpam-5851	252	28	26	26	NUM
ejpam-5851	252	29	)	)	PUNCT
ejpam-5851	252	30	where	where	SCONJ
ejpam-5851	252	31	a4	a4	NOUN
ejpam-5851	252	32	=	=	SYM
ejpam-5851	252	33	(	(	PUNCT
ejpam-5851	252	34	tω1	tω1	X
ejpam-5851	252	35	−	−	NUM
ejpam-5851	252	36	x	x	SYM
ejpam-5851	252	37	)	)	PUNCT
ejpam-5851	252	38	√	√	PROPN
ejpam-5851	252	39	aθ(2−	aθ(2−	PROPN
ejpam-5851	252	40	bθ	bθ	PROPN
ejpam-5851	252	41	)	)	PUNCT
ejpam-5851	252	42	+	+	CCONJ
ejpam-5851	253	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	253	2	−	−	PROPN
ejpam-5851	254	1	1)2	1)2	NUM
ejpam-5851	254	2	√	√	NUM
ejpam-5851	254	3	2	2	NUM
ejpam-5851	254	4	√	√	NUM
ejpam-5851	254	5	bk2	bk2	NOUN
ejpam-5851	254	6	(	(	PUNCT
ejpam-5851	254	7	bω1	bω1	NOUN
ejpam-5851	254	8	−	−	NOUN
ejpam-5851	254	9	a	a	NOUN
ejpam-5851	254	10	)	)	PUNCT
ejpam-5851	255	1	+	+	NUM
ejpam-5851	255	2	v6	v6	NOUN
ejpam-5851	255	3	,	,	PUNCT
ejpam-5851	255	4	(	(	PUNCT
ejpam-5851	255	5	27	27	NUM
ejpam-5851	255	6	)	)	PUNCT
ejpam-5851	255	7	a5	a5	NOUN
ejpam-5851	255	8	=	=	SYM
ejpam-5851	255	9	(	(	PUNCT
ejpam-5851	255	10	x−	x−	PROPN
ejpam-5851	255	11	tω1	tω1	PROPN
ejpam-5851	255	12	)	)	PUNCT
ejpam-5851	255	13	√	√	PROPN
ejpam-5851	255	14	aθ(2−	aθ(2−	PROPN
ejpam-5851	255	15	bθ	bθ	PROPN
ejpam-5851	255	16	)	)	PUNCT
ejpam-5851	255	17	+	+	CCONJ
ejpam-5851	256	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	256	2	−	−	PROPN
ejpam-5851	257	1	1)2	1)2	NUM
ejpam-5851	257	2	√	√	NUM
ejpam-5851	257	3	2	2	NUM
ejpam-5851	257	4	√	√	NUM
ejpam-5851	257	5	bk2	bk2	NOUN
ejpam-5851	257	6	(	(	PUNCT
ejpam-5851	257	7	a−	a−	PROPN
ejpam-5851	257	8	bω1	bω1	NOUN
ejpam-5851	257	9	)	)	PUNCT
ejpam-5851	258	1	+	+	SYM
ejpam-5851	258	2	v4	v4	NOUN
ejpam-5851	258	3	,	,	PUNCT
ejpam-5851	258	4	(	(	PUNCT
ejpam-5851	258	5	28	28	NUM
ejpam-5851	258	6	)	)	PUNCT
ejpam-5851	258	7	b.	b.	PROPN
ejpam-5851	259	1	ceesay	ceesay	PROPN
ejpam-5851	259	2	et	et	PROPN
ejpam-5851	259	3	al	al	PROPN
ejpam-5851	259	4	.	.	PUNCT
ejpam-5851	259	5	/	/	SYM
ejpam-5851	259	6	eur	eur	PROPN
ejpam-5851	259	7	.	.	PUNCT
ejpam-5851	260	1	j.	j.	PROPN
ejpam-5851	260	2	pure	pure	PROPN
ejpam-5851	260	3	appl	appl	PROPN
ejpam-5851	260	4	.	.	PROPN
ejpam-5851	260	5	math	math	PROPN
ejpam-5851	260	6	,	,	PUNCT
ejpam-5851	260	7	18	18	NUM
ejpam-5851	260	8	(	(	PUNCT
ejpam-5851	260	9	2	2	NUM
ejpam-5851	260	10	)	)	PUNCT
ejpam-5851	260	11	(	(	PUNCT
ejpam-5851	260	12	2025	2025	NUM
ejpam-5851	260	13	)	)	PUNCT
ejpam-5851	260	14	,	,	PUNCT
ejpam-5851	260	15	5851	5851	NUM
ejpam-5851	260	16	11	11	NUM
ejpam-5851	260	17	of	of	ADP
ejpam-5851	260	18	32	32	NUM
ejpam-5851	260	19	(	(	PUNCT
ejpam-5851	260	20	a	a	NOUN
ejpam-5851	260	21	)	)	PUNCT
ejpam-5851	260	22	(	(	PUNCT
ejpam-5851	260	23	b	b	X
ejpam-5851	260	24	)	)	PUNCT
ejpam-5851	260	25	(	(	PUNCT
ejpam-5851	260	26	c	c	X
ejpam-5851	260	27	)	)	PUNCT
ejpam-5851	260	28	figure	figure	NOUN
ejpam-5851	260	29	7	7	NUM
ejpam-5851	260	30	:	:	PUNCT
ejpam-5851	260	31	(	(	PUNCT
ejpam-5851	260	32	a	a	X
ejpam-5851	260	33	)	)	PUNCT
ejpam-5851	260	34	three	three	NUM
ejpam-5851	260	35	-	-	PUNCT
ejpam-5851	260	36	dimensional	dimensional	ADJ
ejpam-5851	260	37	plot	plot	NOUN
ejpam-5851	260	38	,	,	PUNCT
ejpam-5851	260	39	(	(	PUNCT
ejpam-5851	260	40	b	b	X
ejpam-5851	260	41	)	)	PUNCT
ejpam-5851	260	42	contour	contour	NOUN
ejpam-5851	260	43	plot	plot	NOUN
ejpam-5851	260	44	and	and	CCONJ
ejpam-5851	260	45	(	(	PUNCT
ejpam-5851	260	46	c	c	NOUN
ejpam-5851	260	47	)	)	PUNCT
ejpam-5851	260	48	density	density	NOUN
ejpam-5851	260	49	plot	plot	NOUN
ejpam-5851	260	50	corresponding	correspond	VERB
ejpam-5851	260	51	to	to	ADP
ejpam-5851	260	52	the	the	DET
ejpam-5851	260	53	function	function	NOUN
ejpam-5851	260	54	g2mu	g2mu	PUNCT
ejpam-5851	260	55	versus	versus	X
ejpam-5851	260	56	x	x	PUNCT
ejpam-5851	260	57	and	and	CCONJ
ejpam-5851	260	58	t.	t.	NOUN
ejpam-5851	260	59	we	we	PRON
ejpam-5851	260	60	used	use	VERB
ejpam-5851	260	61	the	the	DET
ejpam-5851	260	62	parameters	parameter	NOUN
ejpam-5851	261	1	v2	v2	PROPN
ejpam-5851	261	2	=	=	SYM
ejpam-5851	261	3	9.0	9.0	NUM
ejpam-5851	261	4	,	,	PUNCT
ejpam-5851	261	5	v4	v4	NOUN
ejpam-5851	261	6	=	=	SYM
ejpam-5851	261	7	7.4	7.4	NUM
ejpam-5851	261	8	,	,	PUNCT
ejpam-5851	261	9	v6	v6	NOUN
ejpam-5851	261	10	=	=	SYM
ejpam-5851	261	11	9.3	9.3	NUM
ejpam-5851	261	12	,	,	PUNCT
ejpam-5851	261	13	j1	j1	PROPN
ejpam-5851	261	14	=	=	SYM
ejpam-5851	261	15	2.5	2.5	NUM
ejpam-5851	261	16	,	,	PUNCT
ejpam-5851	261	17	j2	j2	PROPN
ejpam-5851	261	18	=	=	SYM
ejpam-5851	261	19	0.9	0.9	NUM
ejpam-5851	261	20	,	,	PUNCT
ejpam-5851	261	21	j3	j3	PROPN
ejpam-5851	261	22	=	=	PROPN
ejpam-5851	261	23	1.6	1.6	NUM
ejpam-5851	261	24	,	,	PUNCT
ejpam-5851	261	25	a	a	PRON
ejpam-5851	261	26	=	=	SYM
ejpam-5851	261	27	4.0	4.0	NUM
ejpam-5851	261	28	,	,	PUNCT
ejpam-5851	261	29	b	b	NOUN
ejpam-5851	261	30	=	=	SYM
ejpam-5851	261	31	0.4	0.4	NUM
ejpam-5851	261	32	,	,	PUNCT
ejpam-5851	261	33	c	c	NOUN
ejpam-5851	261	34	=	=	SYM
ejpam-5851	261	35	2.6	2.6	NUM
ejpam-5851	261	36	,	,	PUNCT
ejpam-5851	261	37	d	d	NOUN
ejpam-5851	261	38	=	=	SYM
ejpam-5851	261	39	1	1	NUM
ejpam-5851	261	40	,	,	PUNCT
ejpam-5851	261	41	k	k	NOUN
ejpam-5851	261	42	=	=	SYM
ejpam-5851	261	43	3.5	3.5	NUM
ejpam-5851	261	44	,	,	PUNCT
ejpam-5851	261	45	ω1	ω1	PROPN
ejpam-5851	261	46	=	=	SYM
ejpam-5851	261	47	0.1	0.1	NUM
ejpam-5851	261	48	and	and	CCONJ
ejpam-5851	261	49	θ	θ	PROPN
ejpam-5851	261	50	=	=	SYM
ejpam-5851	261	51	0.4	0.4	NUM
ejpam-5851	261	52	.	.	PUNCT
ejpam-5851	262	1	(	(	PUNCT
ejpam-5851	262	2	a	a	X
ejpam-5851	262	3	)	)	PUNCT
ejpam-5851	262	4	(	(	PUNCT
ejpam-5851	262	5	b	b	X
ejpam-5851	262	6	)	)	PUNCT
ejpam-5851	262	7	(	(	PUNCT
ejpam-5851	262	8	c	c	X
ejpam-5851	262	9	)	)	PUNCT
ejpam-5851	262	10	figure	figure	NOUN
ejpam-5851	262	11	8	8	NUM
ejpam-5851	262	12	:	:	PUNCT
ejpam-5851	262	13	(	(	PUNCT
ejpam-5851	262	14	a	a	X
ejpam-5851	262	15	)	)	PUNCT
ejpam-5851	262	16	three	three	NUM
ejpam-5851	262	17	-	-	PUNCT
ejpam-5851	262	18	dimensional	dimensional	ADJ
ejpam-5851	262	19	plot	plot	NOUN
ejpam-5851	262	20	,	,	PUNCT
ejpam-5851	262	21	(	(	PUNCT
ejpam-5851	262	22	b	b	X
ejpam-5851	262	23	)	)	PUNCT
ejpam-5851	262	24	contour	contour	NOUN
ejpam-5851	262	25	plot	plot	NOUN
ejpam-5851	262	26	and	and	CCONJ
ejpam-5851	262	27	(	(	PUNCT
ejpam-5851	262	28	c	c	NOUN
ejpam-5851	262	29	)	)	PUNCT
ejpam-5851	262	30	density	density	NOUN
ejpam-5851	262	31	plot	plot	NOUN
ejpam-5851	262	32	corresponding	correspond	VERB
ejpam-5851	262	33	to	to	ADP
ejpam-5851	262	34	the	the	DET
ejpam-5851	262	35	function	function	NOUN
ejpam-5851	262	36	h2mu	h2mu	PUNCT
ejpam-5851	262	37	versus	versus	X
ejpam-5851	262	38	x	x	PUNCT
ejpam-5851	262	39	and	and	CCONJ
ejpam-5851	262	40	t.	t.	NOUN
ejpam-5851	262	41	we	we	PRON
ejpam-5851	262	42	used	use	VERB
ejpam-5851	262	43	the	the	DET
ejpam-5851	262	44	parameters	parameter	NOUN
ejpam-5851	263	1	v2	v2	PROPN
ejpam-5851	263	2	=	=	SYM
ejpam-5851	263	3	9.0	9.0	NUM
ejpam-5851	263	4	,	,	PUNCT
ejpam-5851	263	5	v4	v4	NOUN
ejpam-5851	263	6	=	=	SYM
ejpam-5851	263	7	7.4	7.4	NUM
ejpam-5851	263	8	,	,	PUNCT
ejpam-5851	263	9	v6	v6	NOUN
ejpam-5851	263	10	=	=	SYM
ejpam-5851	263	11	9.3	9.3	NUM
ejpam-5851	263	12	,	,	PUNCT
ejpam-5851	263	13	j1	j1	PROPN
ejpam-5851	263	14	=	=	SYM
ejpam-5851	263	15	2.5	2.5	NUM
ejpam-5851	263	16	,	,	PUNCT
ejpam-5851	263	17	j2	j2	PROPN
ejpam-5851	263	18	=	=	SYM
ejpam-5851	263	19	0.9	0.9	NUM
ejpam-5851	263	20	,	,	PUNCT
ejpam-5851	263	21	j3	j3	PROPN
ejpam-5851	263	22	=	=	PROPN
ejpam-5851	263	23	1.6	1.6	NUM
ejpam-5851	263	24	,	,	PUNCT
ejpam-5851	263	25	a	a	PRON
ejpam-5851	263	26	=	=	SYM
ejpam-5851	263	27	4.0	4.0	NUM
ejpam-5851	263	28	,	,	PUNCT
ejpam-5851	263	29	b	b	NOUN
ejpam-5851	263	30	=	=	SYM
ejpam-5851	263	31	0.4	0.4	NUM
ejpam-5851	263	32	,	,	PUNCT
ejpam-5851	263	33	c	c	NOUN
ejpam-5851	263	34	=	=	SYM
ejpam-5851	263	35	2.6	2.6	NUM
ejpam-5851	263	36	,	,	PUNCT
ejpam-5851	263	37	d	d	NOUN
ejpam-5851	263	38	=	=	SYM
ejpam-5851	263	39	1	1	NUM
ejpam-5851	263	40	,	,	PUNCT
ejpam-5851	263	41	k	k	NOUN
ejpam-5851	263	42	=	=	SYM
ejpam-5851	263	43	3.5	3.5	NUM
ejpam-5851	263	44	,	,	PUNCT
ejpam-5851	263	45	ω1	ω1	PROPN
ejpam-5851	263	46	=	=	SYM
ejpam-5851	263	47	0.1	0.1	NUM
ejpam-5851	263	48	and	and	CCONJ
ejpam-5851	263	49	θ	θ	PROPN
ejpam-5851	263	50	=	=	SYM
ejpam-5851	263	51	0.4	0.4	NUM
ejpam-5851	263	52	.	.	PUNCT
ejpam-5851	264	1	a6	a6	NOUN
ejpam-5851	264	2	=	=	SYM
ejpam-5851	264	3	exp	exp	PROPN
ejpam-5851	264	4	(	(	PUNCT
ejpam-5851	264	5	−	−	PROPN
ejpam-5851	264	6	i	i	PRON
ejpam-5851	264	7	(	(	PUNCT
ejpam-5851	264	8	−2aθt+	−2aθt+	PROPN
ejpam-5851	264	9	tω1(bθ	tω1(bθ	NUM
ejpam-5851	264	10	−	−	ADP
ejpam-5851	264	11	1	1	NUM
ejpam-5851	264	12	)	)	PUNCT
ejpam-5851	264	13	+	+	NUM
ejpam-5851	264	14	bθx	bθx	NOUN
ejpam-5851	264	15	)	)	PUNCT
ejpam-5851	264	16	b	b	NOUN
ejpam-5851	264	17	)	)	PUNCT
ejpam-5851	264	18	.	.	PUNCT
ejpam-5851	265	1	(	(	PUNCT
ejpam-5851	265	2	29	29	NUM
ejpam-5851	265	3	)	)	PUNCT
ejpam-5851	265	4	family	family	NOUN
ejpam-5851	265	5	2	2	NUM
ejpam-5851	265	6	.	.	PUNCT
ejpam-5851	265	7	v1	v1	PROPN
ejpam-5851	265	8	=	=	SYM
ejpam-5851	265	9	√	√	PROPN
ejpam-5851	265	10	−abθ2	−abθ2	NOUN
ejpam-5851	266	1	+	+	CCONJ
ejpam-5851	266	2	2aθ	2aθ	NOUN
ejpam-5851	266	3	+	+	CCONJ
ejpam-5851	266	4	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	266	5	−	−	PROPN
ejpam-5851	267	1	2bθω1	2bθω1	NUM
ejpam-5851	267	2	+	+	CCONJ
ejpam-5851	267	3	ω1√	ω1√	VERB
ejpam-5851	267	4	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	267	5	−	−	PROPN
ejpam-5851	267	6	2abk2	2abk2	NUM
ejpam-5851	267	7	,	,	PUNCT
ejpam-5851	267	8	v3	v3	PROPN
ejpam-5851	267	9	=	=	PROPN
ejpam-5851	267	10	√	√	PROPN
ejpam-5851	267	11	−abθ2	−abθ2	NOUN
ejpam-5851	267	12	+	+	CCONJ
ejpam-5851	267	13	2aθ	2aθ	NOUN
ejpam-5851	268	1	+	+	CCONJ
ejpam-5851	268	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	268	3	−	−	PROPN
ejpam-5851	268	4	2bθω1	2bθω1	NUM
ejpam-5851	268	5	+	+	CCONJ
ejpam-5851	268	6	ω1√	ω1√	PROPN
ejpam-5851	268	7	2	2	NUM
ejpam-5851	268	8	√	√	NOUN
ejpam-5851	268	9	abk2	abk2	NOUN
ejpam-5851	268	10	−	−	NOUN
ejpam-5851	268	11	b2k2ω1	b2k2ω1	NOUN
ejpam-5851	268	12	,	,	PUNCT
ejpam-5851	268	13	v5	v5	PROPN
ejpam-5851	268	14	=	=	SYM
ejpam-5851	268	15	−	−	PROPN
ejpam-5851	268	16	√	√	PROPN
ejpam-5851	268	17	−abθ2	−abθ2	NOUN
ejpam-5851	269	1	+	+	CCONJ
ejpam-5851	269	2	2aθ	2aθ	NOUN
ejpam-5851	269	3	+	+	CCONJ
ejpam-5851	269	4	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	269	5	−	−	PROPN
ejpam-5851	270	1	2bθω1	2bθω1	NUM
ejpam-5851	270	2	+	+	CCONJ
ejpam-5851	270	3	ω1√	ω1√	VERB
ejpam-5851	270	4	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	270	5	−	−	PROPN
ejpam-5851	270	6	2abk2	2abk2	NUM
ejpam-5851	270	7	,	,	PUNCT
ejpam-5851	270	8	r	r	NOUN
ejpam-5851	270	9	=	=	PUNCT
ejpam-5851	270	10	i	i	PRON
ejpam-5851	270	11	√	√	VERB
ejpam-5851	270	12	c	c	VERB
ejpam-5851	270	13	√	√	NUM
ejpam-5851	270	14	d	d	NOUN
ejpam-5851	270	15	.	.	PUNCT
ejpam-5851	271	1	substituting	substitute	VERB
ejpam-5851	271	2	into	into	ADP
ejpam-5851	271	3	equation	equation	NOUN
ejpam-5851	271	4	(	(	PUNCT
ejpam-5851	271	5	20	20	NUM
ejpam-5851	271	6	)	)	PUNCT
ejpam-5851	271	7	and	and	CCONJ
ejpam-5851	271	8	then	then	ADV
ejpam-5851	271	9	the	the	DET
ejpam-5851	271	10	result	result	NOUN
ejpam-5851	271	11	into	into	ADP
ejpam-5851	271	12	equation	equation	NOUN
ejpam-5851	271	13	(	(	PUNCT
ejpam-5851	271	14	12	12	NUM
ejpam-5851	271	15	)	)	PUNCT
ejpam-5851	271	16	,	,	PUNCT
ejpam-5851	271	17	we	we	PRON
ejpam-5851	271	18	reach	reach	VERB
ejpam-5851	271	19	λ2mu	λ2mu	X
ejpam-5851	271	20	(	(	PUNCT
ejpam-5851	271	21	σ	σ	NOUN
ejpam-5851	271	22	)	)	PUNCT
ejpam-5851	271	23	=	=	SYM
ejpam-5851	272	1	−	−	PROPN
ejpam-5851	272	2	ik	ik	PROPN
ejpam-5851	272	3	√	√	PROPN
ejpam-5851	272	4	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	PROPN
ejpam-5851	272	5	(	(	PUNCT
ejpam-5851	272	6	j2	j2	PROPN
ejpam-5851	272	7	sin(a3k	sin(a3k	PROPN
ejpam-5851	272	8	)	)	PUNCT
ejpam-5851	272	9	√	√	NOUN
ejpam-5851	272	10	bk2(bω1−a)+	bk2(bω1−a)+	NOUN
ejpam-5851	272	11	√	√	NUM
ejpam-5851	272	12	bk2(a−bω1)(j3	bk2(a−bω1)(j3	NOUN
ejpam-5851	272	13	sinh(a2k)−j1	sinh(a2k)−j1	NOUN
ejpam-5851	272	14	sinh(a7k	sinh(a7k	NOUN
ejpam-5851	272	15	)	)	PUNCT
ejpam-5851	272	16	)	)	PUNCT
ejpam-5851	272	17	)	)	PUNCT
ejpam-5851	273	1	√	√	ADV
ejpam-5851	273	2	2	2	NUM
ejpam-5851	274	1	√	√	NUM
ejpam-5851	274	2	c	c	NOUN
ejpam-5851	275	1	√	√	PROPN
ejpam-5851	275	2	d	d	NOUN
ejpam-5851	275	3	√	√	NOUN
ejpam-5851	275	4	−b2k4(a−bω1)2(j2	−b2k4(a−bω1)2(j2	PROPN
ejpam-5851	275	5	cos(a3k)+j1	cos(a3k)+j1	PROPN
ejpam-5851	275	6	cosh(a7k)+j3	cosh(a7k)+j3	PROPN
ejpam-5851	275	7	cosh(a2k	cosh(a2k	PROPN
ejpam-5851	275	8	)	)	PUNCT
ejpam-5851	275	9	)	)	PUNCT
ejpam-5851	275	10	.	.	PUNCT
ejpam-5851	276	1	(	(	PUNCT
ejpam-5851	276	2	30	30	X
ejpam-5851	276	3	)	)	PUNCT
ejpam-5851	276	4	b.	b.	PROPN
ejpam-5851	276	5	ceesay	ceesay	PROPN
ejpam-5851	276	6	et	et	PROPN
ejpam-5851	276	7	al	al	PROPN
ejpam-5851	276	8	.	.	PUNCT
ejpam-5851	276	9	/	/	SYM
ejpam-5851	276	10	eur	eur	PROPN
ejpam-5851	276	11	.	.	PUNCT
ejpam-5851	277	1	j.	j.	PROPN
ejpam-5851	277	2	pure	pure	PROPN
ejpam-5851	277	3	appl	appl	PROPN
ejpam-5851	277	4	.	.	PROPN
ejpam-5851	277	5	math	math	PROPN
ejpam-5851	277	6	,	,	PUNCT
ejpam-5851	277	7	18	18	NUM
ejpam-5851	277	8	(	(	PUNCT
ejpam-5851	277	9	2	2	NUM
ejpam-5851	277	10	)	)	PUNCT
ejpam-5851	277	11	(	(	PUNCT
ejpam-5851	277	12	2025	2025	NUM
ejpam-5851	277	13	)	)	PUNCT
ejpam-5851	277	14	,	,	PUNCT
ejpam-5851	277	15	5851	5851	NUM
ejpam-5851	277	16	12	12	NUM
ejpam-5851	277	17	of	of	ADP
ejpam-5851	277	18	32	32	NUM
ejpam-5851	277	19	substituting	substitute	VERB
ejpam-5851	277	20	equation	equation	NOUN
ejpam-5851	277	21	(	(	PUNCT
ejpam-5851	277	22	30	30	NUM
ejpam-5851	277	23	)	)	PUNCT
ejpam-5851	277	24	into	into	ADP
ejpam-5851	277	25	equation	equation	NOUN
ejpam-5851	277	26	(	(	PUNCT
ejpam-5851	277	27	10	10	NUM
ejpam-5851	277	28	)	)	PUNCT
ejpam-5851	277	29	gives	give	VERB
ejpam-5851	277	30	∆2mu	∆2mu	PROPN
ejpam-5851	277	31	(	(	PUNCT
ejpam-5851	277	32	σ	σ	NOUN
ejpam-5851	277	33	)	)	PUNCT
ejpam-5851	277	34	=	=	PRON
ejpam-5851	277	35	(	(	PUNCT
ejpam-5851	277	36	aθ(bθ−2)−ω1(bθ−1)2	aθ(bθ−2)−ω1(bθ−1)2	PROPN
ejpam-5851	277	37	)	)	PUNCT
ejpam-5851	277	38	(	(	PUNCT
ejpam-5851	277	39	j2	j2	PROPN
ejpam-5851	277	40	sin(a3k	sin(a3k	ADJ
ejpam-5851	277	41	)	)	PUNCT
ejpam-5851	277	42	√	√	NOUN
ejpam-5851	278	1	bk2(bω1−a)+	bk2(bω1−a)+	NOUN
ejpam-5851	278	2	√	√	NUM
ejpam-5851	278	3	bk2(a−bω1)(j3	bk2(a−bω1)(j3	NOUN
ejpam-5851	278	4	sinh(a2k)−j1	sinh(a2k)−j1	NOUN
ejpam-5851	278	5	sinh(a7k	sinh(a7k	NOUN
ejpam-5851	278	6	)	)	PUNCT
ejpam-5851	278	7	)	)	PUNCT
ejpam-5851	278	8	)	)	PUNCT
ejpam-5851	279	1	2	2	NUM
ejpam-5851	279	2	b2ck2(bω1−a)(j2	b2ck2(bω1−a)(j2	PROPN
ejpam-5851	279	3	cos(a3k)+j1	cos(a3k)+j1	PROPN
ejpam-5851	279	4	cosh(a7k)+j3	cosh(a7k)+j3	PROPN
ejpam-5851	279	5	cosh(a2k))2	cosh(a2k))2	NOUN
ejpam-5851	279	6	,	,	PUNCT
ejpam-5851	279	7	(	(	PUNCT
ejpam-5851	279	8	31	31	NUM
ejpam-5851	279	9	)	)	PUNCT
ejpam-5851	279	10	where	where	SCONJ
ejpam-5851	279	11	a7	a7	PROPN
ejpam-5851	279	12	=	=	PUNCT
ejpam-5851	280	1	σ	σ	PROPN
ejpam-5851	280	2	√	√	PROPN
ejpam-5851	280	3	aθ(2−	aθ(2−	PROPN
ejpam-5851	280	4	bθ	bθ	PROPN
ejpam-5851	280	5	)	)	PUNCT
ejpam-5851	281	1	+	+	CCONJ
ejpam-5851	282	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	282	2	−	−	PROPN
ejpam-5851	283	1	1)2	1)2	NUM
ejpam-5851	283	2	√	√	NUM
ejpam-5851	283	3	2	2	NUM
ejpam-5851	283	4	√	√	NUM
ejpam-5851	283	5	bk2	bk2	NOUN
ejpam-5851	283	6	(	(	PUNCT
ejpam-5851	283	7	bω1	bω1	NOUN
ejpam-5851	283	8	−	−	NOUN
ejpam-5851	283	9	a	a	NOUN
ejpam-5851	283	10	)	)	PUNCT
ejpam-5851	284	1	+	+	CCONJ
ejpam-5851	284	2	v2	v2	NOUN
ejpam-5851	284	3	.	.	PUNCT
ejpam-5851	285	1	(	(	PUNCT
ejpam-5851	285	2	32	32	NUM
ejpam-5851	285	3	)	)	PUNCT
ejpam-5851	285	4	applying	apply	VERB
ejpam-5851	285	5	equations	equation	NOUN
ejpam-5851	285	6	(	(	PUNCT
ejpam-5851	285	7	30	30	NUM
ejpam-5851	285	8	)	)	PUNCT
ejpam-5851	285	9	and	and	CCONJ
ejpam-5851	285	10	(	(	PUNCT
ejpam-5851	285	11	31	31	NUM
ejpam-5851	285	12	)	)	PUNCT
ejpam-5851	285	13	into	into	ADP
ejpam-5851	285	14	equation	equation	NOUN
ejpam-5851	285	15	(	(	PUNCT
ejpam-5851	285	16	5	5	X
ejpam-5851	285	17	)	)	PUNCT
ejpam-5851	285	18	gives	give	VERB
ejpam-5851	285	19	the	the	DET
ejpam-5851	285	20	mu	mu	PROPN
ejpam-5851	285	21	wave	wave	NOUN
ejpam-5851	285	22	solutions	solution	NOUN
ejpam-5851	285	23	for	for	ADP
ejpam-5851	285	24	equation	equation	NOUN
ejpam-5851	285	25	(	(	PUNCT
ejpam-5851	285	26	1	1	NUM
ejpam-5851	285	27	)	)	PUNCT
ejpam-5851	285	28	,	,	PUNCT
ejpam-5851	285	29	namely	namely	ADV
ejpam-5851	285	30	,	,	PUNCT
ejpam-5851	285	31	g2mu	g2mu	X
ejpam-5851	285	32	(	(	PUNCT
ejpam-5851	285	33	x	x	X
ejpam-5851	285	34	,	,	PUNCT
ejpam-5851	285	35	t	t	PROPN
ejpam-5851	285	36	)	)	PUNCT
ejpam-5851	285	37	=	=	SYM
ejpam-5851	286	1	−	−	PROPN
ejpam-5851	286	2	ia6k	ia6k	NOUN
ejpam-5851	286	3	√	√	PROPN
ejpam-5851	286	4	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	286	5	(	(	PUNCT
ejpam-5851	286	6	j2	j2	PROPN
ejpam-5851	286	7	sin(a5k	sin(a5k	PROPN
ejpam-5851	286	8	)	)	PUNCT
ejpam-5851	286	9	√	√	PUNCT
ejpam-5851	287	1	bk2(bω1−a)+	bk2(bω1−a)+	NOUN
ejpam-5851	287	2	√	√	VERB
ejpam-5851	287	3	bk2(a−bω1)(j3	bk2(a−bω1)(j3	NOUN
ejpam-5851	287	4	sinh(a4k)−j1	sinh(a4k)−j1	PROPN
ejpam-5851	287	5	sinh(a8k	sinh(a8k	NOUN
ejpam-5851	287	6	)	)	PUNCT
ejpam-5851	287	7	)	)	PUNCT
ejpam-5851	287	8	)	)	PUNCT
ejpam-5851	288	1	√	√	ADV
ejpam-5851	288	2	2	2	NUM
ejpam-5851	289	1	√	√	NUM
ejpam-5851	289	2	c	c	NOUN
ejpam-5851	290	1	√	√	PROPN
ejpam-5851	290	2	d	d	NOUN
ejpam-5851	290	3	√	√	PROPN
ejpam-5851	290	4	−b2k4(a−bω1)2(j2	−b2k4(a−bω1)2(j2	NUM
ejpam-5851	290	5	cos(a5k)+j1	cos(a5k)+j1	PROPN
ejpam-5851	290	6	cosh(a8k)+j3	cosh(a8k)+j3	PROPN
ejpam-5851	291	1	cosh(a4k	cosh(a4k	NOUN
ejpam-5851	291	2	)	)	PUNCT
ejpam-5851	291	3	)	)	PUNCT
ejpam-5851	292	1	,	,	PUNCT
ejpam-5851	292	2	(	(	PUNCT
ejpam-5851	292	3	33	33	NUM
ejpam-5851	292	4	)	)	PUNCT
ejpam-5851	292	5	h2mu	h2mu	PUNCT
ejpam-5851	292	6	(	(	PUNCT
ejpam-5851	292	7	x	x	X
ejpam-5851	292	8	,	,	PUNCT
ejpam-5851	292	9	t	t	PROPN
ejpam-5851	292	10	)	)	PUNCT
ejpam-5851	292	11	=	=	PRON
ejpam-5851	292	12	(	(	PUNCT
ejpam-5851	292	13	aθ(bθ−2)−ω1(bθ−1)2	aθ(bθ−2)−ω1(bθ−1)2	PROPN
ejpam-5851	292	14	)	)	PUNCT
ejpam-5851	292	15	(	(	PUNCT
ejpam-5851	292	16	j2	j2	PROPN
ejpam-5851	292	17	sin(a5k	sin(a5k	PROPN
ejpam-5851	292	18	)	)	PUNCT
ejpam-5851	292	19	√	√	PUNCT
ejpam-5851	293	1	bk2(bω1−a)+	bk2(bω1−a)+	NOUN
ejpam-5851	293	2	√	√	VERB
ejpam-5851	293	3	bk2(a−bω1)(j3	bk2(a−bω1)(j3	NOUN
ejpam-5851	293	4	sinh(a4k)−j1	sinh(a4k)−j1	PROPN
ejpam-5851	293	5	sinh(a8k	sinh(a8k	NOUN
ejpam-5851	293	6	)	)	PUNCT
ejpam-5851	293	7	)	)	PUNCT
ejpam-5851	293	8	)	)	PUNCT
ejpam-5851	294	1	2	2	NUM
ejpam-5851	294	2	b2ck2(bω1−a)(j2	b2ck2(bω1−a)(j2	PROPN
ejpam-5851	294	3	cos(a5k)+j1	cos(a5k)+j1	PROPN
ejpam-5851	294	4	cosh(a8k)+j3	cosh(a8k)+j3	NOUN
ejpam-5851	294	5	cosh(a4k))2	cosh(a4k))2	NOUN
ejpam-5851	294	6	,	,	PUNCT
ejpam-5851	294	7	(	(	PUNCT
ejpam-5851	294	8	34	34	NUM
ejpam-5851	294	9	)	)	PUNCT
ejpam-5851	294	10	where	where	SCONJ
ejpam-5851	294	11	a8	a8	PROPN
ejpam-5851	294	12	=	=	SYM
ejpam-5851	294	13	(	(	PUNCT
ejpam-5851	294	14	x−	x−	PROPN
ejpam-5851	294	15	tω1	tω1	PROPN
ejpam-5851	294	16	)	)	PUNCT
ejpam-5851	294	17	√	√	PROPN
ejpam-5851	294	18	aθ(2−	aθ(2−	PROPN
ejpam-5851	294	19	bθ	bθ	PROPN
ejpam-5851	294	20	)	)	PUNCT
ejpam-5851	294	21	+	+	CCONJ
ejpam-5851	295	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	295	2	−	−	PROPN
ejpam-5851	296	1	1)2	1)2	NUM
ejpam-5851	296	2	√	√	NUM
ejpam-5851	296	3	2	2	NUM
ejpam-5851	296	4	√	√	NUM
ejpam-5851	296	5	bk2	bk2	NOUN
ejpam-5851	296	6	(	(	PUNCT
ejpam-5851	296	7	bω1	bω1	NOUN
ejpam-5851	296	8	−	−	NOUN
ejpam-5851	296	9	a	a	NOUN
ejpam-5851	296	10	)	)	PUNCT
ejpam-5851	297	1	+	+	CCONJ
ejpam-5851	297	2	v2	v2	NOUN
ejpam-5851	297	3	.	.	PUNCT
ejpam-5851	298	1	(	(	PUNCT
ejpam-5851	298	2	35	35	NUM
ejpam-5851	298	3	)	)	PUNCT
ejpam-5851	298	4	for	for	ADP
ejpam-5851	298	5	the	the	DET
ejpam-5851	298	6	sake	sake	NOUN
ejpam-5851	298	7	of	of	ADP
ejpam-5851	298	8	convenience	convenience	NOUN
ejpam-5851	298	9	,	,	PUNCT
ejpam-5851	298	10	figures	figure	NOUN
ejpam-5851	298	11	5	5	NUM
ejpam-5851	298	12	and	and	CCONJ
ejpam-5851	298	13	6	6	NUM
ejpam-5851	298	14	portray	portray	ADJ
ejpam-5851	298	15	multiple	multiple	ADJ
ejpam-5851	298	16	bright	bright	ADJ
ejpam-5851	298	17	breather	breather	NOUN
ejpam-5851	298	18	-	-	PUNCT
ejpam-5851	298	19	like	like	ADJ
ejpam-5851	298	20	waves	wave	NOUN
ejpam-5851	298	21	arising	arise	VERB
ejpam-5851	298	22	from	from	ADP
ejpam-5851	298	23	the	the	DET
ejpam-5851	298	24	wave	wave	NOUN
ejpam-5851	298	25	structure	structure	NOUN
ejpam-5851	298	26	function	function	NOUN
ejpam-5851	298	27	of	of	ADP
ejpam-5851	298	28	multi	multi	ADJ
ejpam-5851	298	29	waves	wave	NOUN
ejpam-5851	298	30	.	.	PUNCT
ejpam-5851	299	1	using	use	VERB
ejpam-5851	299	2	the	the	DET
ejpam-5851	299	3	solution	solution	NOUN
ejpam-5851	299	4	g1mu	g1mu	X
ejpam-5851	299	5	(	(	PUNCT
ejpam-5851	299	6	x	x	X
ejpam-5851	299	7	,	,	PUNCT
ejpam-5851	299	8	t	t	PROPN
ejpam-5851	299	9	)	)	PUNCT
ejpam-5851	299	10	corresponding	correspond	VERB
ejpam-5851	299	11	to	to	ADP
ejpam-5851	299	12	equation	equation	NOUN
ejpam-5851	299	13	(	(	PUNCT
ejpam-5851	299	14	25	25	NUM
ejpam-5851	299	15	)	)	PUNCT
ejpam-5851	299	16	,	,	PUNCT
ejpam-5851	299	17	we	we	PRON
ejpam-5851	299	18	obtained	obtain	VERB
ejpam-5851	299	19	figure	figure	NOUN
ejpam-5851	299	20	5	5	NUM
ejpam-5851	299	21	by	by	ADP
ejpam-5851	299	22	selecting	select	VERB
ejpam-5851	299	23	the	the	DET
ejpam-5851	299	24	parameter	parameter	NOUN
ejpam-5851	299	25	values	value	NOUN
ejpam-5851	299	26	v4	v4	PROPN
ejpam-5851	299	27	=	=	SYM
ejpam-5851	299	28	5.1	5.1	NUM
ejpam-5851	299	29	,	,	PUNCT
ejpam-5851	299	30	v6	v6	NOUN
ejpam-5851	299	31	=	=	NOUN
ejpam-5851	299	32	6.7	6.7	NUM
ejpam-5851	299	33	,	,	PUNCT
ejpam-5851	299	34	j2	j2	PROPN
ejpam-5851	299	35	=	=	SYM
ejpam-5851	299	36	4.6	4.6	NUM
ejpam-5851	299	37	,	,	PUNCT
ejpam-5851	299	38	j3	j3	PROPN
ejpam-5851	299	39	=	=	PROPN
ejpam-5851	299	40	8.4	8.4	NUM
ejpam-5851	299	41	,	,	PUNCT
ejpam-5851	299	42	a	a	DET
ejpam-5851	299	43	=	=	SYM
ejpam-5851	299	44	4.4	4.4	NUM
ejpam-5851	299	45	,	,	PUNCT
ejpam-5851	299	46	b	b	NOUN
ejpam-5851	299	47	=	=	SYM
ejpam-5851	299	48	0.7	0.7	NUM
ejpam-5851	299	49	,	,	PUNCT
ejpam-5851	299	50	c	c	NOUN
ejpam-5851	299	51	=	=	SYM
ejpam-5851	299	52	8.9	8.9	NUM
ejpam-5851	299	53	,	,	PUNCT
ejpam-5851	300	1	d	d	NOUN
ejpam-5851	300	2	=	=	SYM
ejpam-5851	300	3	1	1	NUM
ejpam-5851	300	4	,	,	PUNCT
ejpam-5851	300	5	k	k	NOUN
ejpam-5851	300	6	=	=	SYM
ejpam-5851	300	7	0.1	0.1	NUM
ejpam-5851	300	8	,	,	PUNCT
ejpam-5851	300	9	ω1	ω1	PROPN
ejpam-5851	300	10	=	=	SYM
ejpam-5851	300	11	1.1	1.1	NUM
ejpam-5851	300	12	and	and	CCONJ
ejpam-5851	300	13	θ	θ	NOUN
ejpam-5851	301	1	=	=	SYM
ejpam-5851	301	2	0.9	0.9	NUM
ejpam-5851	301	3	.	.	PUNCT
ejpam-5851	302	1	the	the	DET
ejpam-5851	302	2	solution	solution	NOUN
ejpam-5851	302	3	h1mu	h1mu	PUNCT
ejpam-5851	302	4	(	(	PUNCT
ejpam-5851	302	5	x	x	X
ejpam-5851	302	6	,	,	PUNCT
ejpam-5851	302	7	t	t	PROPN
ejpam-5851	302	8	)	)	PUNCT
ejpam-5851	302	9	corresponding	correspond	VERB
ejpam-5851	302	10	to	to	ADP
ejpam-5851	302	11	equation	equation	NOUN
ejpam-5851	302	12	(	(	PUNCT
ejpam-5851	302	13	26	26	NUM
ejpam-5851	302	14	)	)	PUNCT
ejpam-5851	302	15	is	be	AUX
ejpam-5851	302	16	shown	show	VERB
ejpam-5851	302	17	in	in	ADP
ejpam-5851	302	18	figure	figure	NOUN
ejpam-5851	302	19	6	6	NUM
ejpam-5851	302	20	for	for	ADP
ejpam-5851	302	21	the	the	DET
ejpam-5851	302	22	same	same	ADJ
ejpam-5851	302	23	choice	choice	NOUN
ejpam-5851	302	24	of	of	ADP
ejpam-5851	302	25	parameter	parameter	NOUN
ejpam-5851	302	26	values	value	NOUN
ejpam-5851	302	27	as	as	ADP
ejpam-5851	302	28	for	for	ADP
ejpam-5851	302	29	figure	figure	NOUN
ejpam-5851	302	30	5	5	NUM
ejpam-5851	302	31	.	.	PUNCT
ejpam-5851	303	1	on	on	ADP
ejpam-5851	303	2	the	the	DET
ejpam-5851	303	3	other	other	ADJ
ejpam-5851	303	4	hand	hand	NOUN
ejpam-5851	303	5	,	,	PUNCT
ejpam-5851	303	6	figure	figure	NOUN
ejpam-5851	303	7	7	7	NUM
ejpam-5851	303	8	was	be	AUX
ejpam-5851	303	9	obtained	obtain	VERB
ejpam-5851	303	10	using	use	VERB
ejpam-5851	303	11	equation	equation	NOUN
ejpam-5851	303	12	(	(	PUNCT
ejpam-5851	303	13	33	33	NUM
ejpam-5851	303	14	)	)	PUNCT
ejpam-5851	303	15	with	with	ADP
ejpam-5851	303	16	parameter	parameter	NOUN
ejpam-5851	303	17	values	value	NOUN
ejpam-5851	304	1	v2	v2	PROPN
ejpam-5851	304	2	=	=	SYM
ejpam-5851	304	3	9.0	9.0	NUM
ejpam-5851	304	4	,	,	PUNCT
ejpam-5851	304	5	v4	v4	NOUN
ejpam-5851	304	6	=	=	SYM
ejpam-5851	304	7	7.4	7.4	NUM
ejpam-5851	304	8	,	,	PUNCT
ejpam-5851	304	9	v6	v6	NOUN
ejpam-5851	304	10	=	=	SYM
ejpam-5851	304	11	9.3	9.3	NUM
ejpam-5851	304	12	,	,	PUNCT
ejpam-5851	304	13	j1	j1	PROPN
ejpam-5851	304	14	=	=	SYM
ejpam-5851	304	15	2.5	2.5	NUM
ejpam-5851	304	16	,	,	PUNCT
ejpam-5851	304	17	j2	j2	PROPN
ejpam-5851	304	18	=	=	SYM
ejpam-5851	304	19	0.9	0.9	NUM
ejpam-5851	304	20	,	,	PUNCT
ejpam-5851	304	21	j3	j3	PROPN
ejpam-5851	304	22	=	=	PROPN
ejpam-5851	304	23	1.6	1.6	NUM
ejpam-5851	304	24	,	,	PUNCT
ejpam-5851	304	25	a	a	PRON
ejpam-5851	304	26	=	=	SYM
ejpam-5851	304	27	4.0	4.0	NUM
ejpam-5851	304	28	,	,	PUNCT
ejpam-5851	304	29	b	b	NOUN
ejpam-5851	304	30	=	=	SYM
ejpam-5851	304	31	0.4	0.4	NUM
ejpam-5851	304	32	,	,	PUNCT
ejpam-5851	304	33	c	c	NOUN
ejpam-5851	304	34	=	=	SYM
ejpam-5851	304	35	2.6	2.6	NUM
ejpam-5851	304	36	,	,	PUNCT
ejpam-5851	304	37	d	d	NOUN
ejpam-5851	304	38	=	=	SYM
ejpam-5851	304	39	1	1	NUM
ejpam-5851	304	40	,	,	PUNCT
ejpam-5851	304	41	k	k	NOUN
ejpam-5851	304	42	=	=	SYM
ejpam-5851	304	43	3.5	3.5	NUM
ejpam-5851	304	44	,	,	PUNCT
ejpam-5851	304	45	ω1	ω1	PROPN
ejpam-5851	304	46	=	=	SYM
ejpam-5851	304	47	0.1	0.1	NUM
ejpam-5851	304	48	and	and	CCONJ
ejpam-5851	304	49	θ	θ	PROPN
ejpam-5851	304	50	=	=	SYM
ejpam-5851	304	51	0.4	0.4	NUM
ejpam-5851	304	52	.	.	PUNCT
ejpam-5851	305	1	the	the	DET
ejpam-5851	305	2	solution	solution	NOUN
ejpam-5851	305	3	h2mu	h2mu	PUNCT
ejpam-5851	305	4	(	(	PUNCT
ejpam-5851	305	5	x	x	X
ejpam-5851	305	6	,	,	PUNCT
ejpam-5851	305	7	t	t	PROPN
ejpam-5851	305	8	)	)	PUNCT
ejpam-5851	305	9	corresponding	correspond	VERB
ejpam-5851	305	10	to	to	ADP
ejpam-5851	305	11	equation	equation	NOUN
ejpam-5851	305	12	(	(	PUNCT
ejpam-5851	305	13	34	34	NUM
ejpam-5851	305	14	)	)	PUNCT
ejpam-5851	305	15	is	be	AUX
ejpam-5851	305	16	shown	show	VERB
ejpam-5851	305	17	in	in	ADP
ejpam-5851	305	18	figure	figure	NOUN
ejpam-5851	305	19	8	8	NUM
ejpam-5851	305	20	.	.	PUNCT
ejpam-5851	306	1	4.3	4.3	NUM
ejpam-5851	306	2	.	.	PUNCT
ejpam-5851	306	3	periodic	periodic	ADJ
ejpam-5851	306	4	lump	lump	NOUN
ejpam-5851	306	5	(	(	PUNCT
ejpam-5851	306	6	pl	pl	NOUN
ejpam-5851	306	7	)	)	PUNCT
ejpam-5851	306	8	this	this	DET
ejpam-5851	306	9	wave	wave	NOUN
ejpam-5851	306	10	structure	structure	NOUN
ejpam-5851	306	11	is	be	AUX
ejpam-5851	306	12	derived	derive	VERB
ejpam-5851	306	13	by	by	ADP
ejpam-5851	306	14	using	use	VERB
ejpam-5851	306	15	(	(	PUNCT
ejpam-5851	306	16	see	see	VERB
ejpam-5851	306	17	[	[	X
ejpam-5851	306	18	54	54	NUM
ejpam-5851	306	19	]	]	SYM
ejpam-5851	306	20	)	)	PUNCT
ejpam-5851	306	21	φ(σ	φ(σ	NUM
ejpam-5851	306	22	)	)	PUNCT
ejpam-5851	306	23	=	=	PRON
ejpam-5851	306	24	(	(	PUNCT
ejpam-5851	306	25	σv1	σv1	NOUN
ejpam-5851	306	26	+	+	CCONJ
ejpam-5851	306	27	v2	v2	NOUN
ejpam-5851	306	28	)	)	PUNCT
ejpam-5851	306	29	2	2	NUM
ejpam-5851	306	30	+	+	CCONJ
ejpam-5851	306	31	(	(	PUNCT
ejpam-5851	306	32	σv3	σv3	NOUN
ejpam-5851	306	33	+	+	CCONJ
ejpam-5851	306	34	v4	v4	NOUN
ejpam-5851	306	35	)	)	PUNCT
ejpam-5851	306	36	2	2	NUM
ejpam-5851	306	37	+	+	CCONJ
ejpam-5851	306	38	cos	cos	X
ejpam-5851	306	39	(	(	PUNCT
ejpam-5851	306	40	σv5	σv5	NOUN
ejpam-5851	306	41	+	+	X
ejpam-5851	306	42	v6	v6	NOUN
ejpam-5851	306	43	)	)	PUNCT
ejpam-5851	307	1	+	+	X
ejpam-5851	308	1	v7	v7	VERB
ejpam-5851	308	2	.	.	PUNCT
ejpam-5851	309	1	(	(	PUNCT
ejpam-5851	309	2	36	36	NUM
ejpam-5851	309	3	)	)	PUNCT
ejpam-5851	309	4	substitute	substitute	NOUN
ejpam-5851	309	5	equation	equation	NOUN
ejpam-5851	309	6	(	(	PUNCT
ejpam-5851	309	7	36	36	NUM
ejpam-5851	309	8	)	)	PUNCT
ejpam-5851	309	9	and	and	CCONJ
ejpam-5851	309	10	its	its	PRON
ejpam-5851	309	11	first	first	ADJ
ejpam-5851	309	12	three	three	NUM
ejpam-5851	309	13	derivatives	derivative	NOUN
ejpam-5851	309	14	into	into	ADP
ejpam-5851	309	15	equation	equation	NOUN
ejpam-5851	309	16	(	(	PUNCT
ejpam-5851	309	17	13	13	NUM
ejpam-5851	309	18	)	)	PUNCT
ejpam-5851	309	19	.	.	PUNCT
ejpam-5851	310	1	proceeding	proceed	VERB
ejpam-5851	310	2	as	as	ADP
ejpam-5851	310	3	before	before	ADV
ejpam-5851	310	4	,	,	PUNCT
ejpam-5851	310	5	we	we	PRON
ejpam-5851	310	6	derive	derive	VERB
ejpam-5851	310	7	the	the	DET
ejpam-5851	310	8	following	follow	VERB
ejpam-5851	310	9	set	set	NOUN
ejpam-5851	310	10	of	of	ADP
ejpam-5851	310	11	constant	constant	ADJ
ejpam-5851	310	12	values	value	NOUN
ejpam-5851	310	13	:	:	PUNCT
ejpam-5851	310	14	family	family	NOUN
ejpam-5851	310	15	1	1	NUM
ejpam-5851	310	16	.	.	PUNCT
ejpam-5851	310	17	v1	v1	PROPN
ejpam-5851	310	18	=	=	SYM
ejpam-5851	310	19	iv3	iv3	PROPN
ejpam-5851	310	20	,	,	PUNCT
ejpam-5851	310	21	v4	v4	NOUN
ejpam-5851	310	22	=	=	SYM
ejpam-5851	310	23	−iv2	−iv2	PROPN
ejpam-5851	310	24	,	,	PUNCT
ejpam-5851	310	25	v5	v5	PROPN
ejpam-5851	310	26	=	=	SYM
ejpam-5851	310	27	√	√	PROPN
ejpam-5851	310	28	−abθ2	−abθ2	NOUN
ejpam-5851	310	29	+	+	CCONJ
ejpam-5851	310	30	2aθ	2aθ	NOUN
ejpam-5851	311	1	+	+	CCONJ
ejpam-5851	311	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	311	3	−	−	PROPN
ejpam-5851	311	4	2bθω1	2bθω1	NUM
ejpam-5851	311	5	+	+	CCONJ
ejpam-5851	311	6	ω1√	ω1√	PROPN
ejpam-5851	311	7	2	2	NUM
ejpam-5851	311	8	√	√	NUM
ejpam-5851	311	9	ab−	ab−	NUM
ejpam-5851	311	10	b2ω1	b2ω1	NOUN
ejpam-5851	311	11	,	,	PUNCT
ejpam-5851	311	12	v7	v7	NOUN
ejpam-5851	311	13	=	=	SYM
ejpam-5851	311	14	0	0	NUM
ejpam-5851	311	15	,	,	PUNCT
ejpam-5851	311	16	r	r	NOUN
ejpam-5851	311	17	=	=	PUNCT
ejpam-5851	311	18	i	i	PRON
ejpam-5851	311	19	√	√	VERB
ejpam-5851	311	20	c	c	VERB
ejpam-5851	311	21	√	√	PROPN
ejpam-5851	311	22	d	d	INTJ
ejpam-5851	311	23	.	.	PUNCT
ejpam-5851	312	1	b.	b.	PROPN
ejpam-5851	312	2	ceesay	ceesay	PROPN
ejpam-5851	312	3	et	et	PROPN
ejpam-5851	312	4	al	al	PROPN
ejpam-5851	312	5	.	.	PUNCT
ejpam-5851	312	6	/	/	SYM
ejpam-5851	312	7	eur	eur	PROPN
ejpam-5851	312	8	.	.	PUNCT
ejpam-5851	313	1	j.	j.	PROPN
ejpam-5851	313	2	pure	pure	PROPN
ejpam-5851	313	3	appl	appl	PROPN
ejpam-5851	313	4	.	.	PROPN
ejpam-5851	313	5	math	math	PROPN
ejpam-5851	313	6	,	,	PUNCT
ejpam-5851	313	7	18	18	NUM
ejpam-5851	313	8	(	(	PUNCT
ejpam-5851	313	9	2	2	NUM
ejpam-5851	313	10	)	)	PUNCT
ejpam-5851	313	11	(	(	PUNCT
ejpam-5851	313	12	2025	2025	NUM
ejpam-5851	313	13	)	)	PUNCT
ejpam-5851	313	14	,	,	PUNCT
ejpam-5851	313	15	5851	5851	NUM
ejpam-5851	313	16	13	13	NUM
ejpam-5851	313	17	of	of	ADP
ejpam-5851	313	18	32	32	NUM
ejpam-5851	313	19	(	(	PUNCT
ejpam-5851	313	20	a	a	NOUN
ejpam-5851	313	21	)	)	PUNCT
ejpam-5851	313	22	(	(	PUNCT
ejpam-5851	313	23	b	b	X
ejpam-5851	313	24	)	)	PUNCT
ejpam-5851	313	25	(	(	PUNCT
ejpam-5851	313	26	c	c	X
ejpam-5851	313	27	)	)	PUNCT
ejpam-5851	313	28	figure	figure	NOUN
ejpam-5851	313	29	9	9	NUM
ejpam-5851	313	30	:	:	PUNCT
ejpam-5851	313	31	(	(	PUNCT
ejpam-5851	313	32	a	a	X
ejpam-5851	313	33	)	)	PUNCT
ejpam-5851	313	34	three	three	NUM
ejpam-5851	313	35	-	-	PUNCT
ejpam-5851	313	36	dimensional	dimensional	ADJ
ejpam-5851	313	37	plot	plot	NOUN
ejpam-5851	313	38	,	,	PUNCT
ejpam-5851	313	39	(	(	PUNCT
ejpam-5851	313	40	b	b	X
ejpam-5851	313	41	)	)	PUNCT
ejpam-5851	313	42	contour	contour	NOUN
ejpam-5851	313	43	plot	plot	NOUN
ejpam-5851	313	44	and	and	CCONJ
ejpam-5851	313	45	(	(	PUNCT
ejpam-5851	313	46	c	c	NOUN
ejpam-5851	313	47	)	)	PUNCT
ejpam-5851	313	48	density	density	NOUN
ejpam-5851	313	49	plot	plot	NOUN
ejpam-5851	313	50	corresponding	correspond	VERB
ejpam-5851	313	51	to	to	ADP
ejpam-5851	313	52	the	the	DET
ejpam-5851	313	53	function	function	NOUN
ejpam-5851	313	54	g1pl	g1pl	NOUN
ejpam-5851	313	55	versus	versus	X
ejpam-5851	313	56	x	x	PUNCT
ejpam-5851	313	57	and	and	CCONJ
ejpam-5851	313	58	t.	t.	NOUN
ejpam-5851	313	59	we	we	PRON
ejpam-5851	313	60	used	use	VERB
ejpam-5851	313	61	the	the	DET
ejpam-5851	313	62	parameters	parameter	NOUN
ejpam-5851	313	63	v6	v6	NOUN
ejpam-5851	313	64	=	=	PUNCT
ejpam-5851	313	65	1.4	1.4	NUM
ejpam-5851	313	66	,	,	PUNCT
ejpam-5851	313	67	a	a	DET
ejpam-5851	313	68	=	=	SYM
ejpam-5851	313	69	1.5	1.5	NUM
ejpam-5851	313	70	,	,	PUNCT
ejpam-5851	313	71	b	b	NOUN
ejpam-5851	313	72	=	=	SYM
ejpam-5851	313	73	6.9	6.9	NUM
ejpam-5851	313	74	,	,	PUNCT
ejpam-5851	313	75	c	c	NOUN
ejpam-5851	313	76	=	=	SYM
ejpam-5851	313	77	3.4	3.4	NUM
ejpam-5851	313	78	,	,	PUNCT
ejpam-5851	313	79	d	d	NOUN
ejpam-5851	313	80	=	=	SYM
ejpam-5851	313	81	1	1	NUM
ejpam-5851	313	82	,	,	PUNCT
ejpam-5851	313	83	ω1	ω1	X
ejpam-5851	313	84	=	=	SYM
ejpam-5851	313	85	1.5	1.5	NUM
ejpam-5851	313	86	,	,	PUNCT
ejpam-5851	313	87	θ	θ	PROPN
ejpam-5851	313	88	=	=	SYM
ejpam-5851	313	89	3.1	3.1	NUM
ejpam-5851	313	90	.	.	PUNCT
ejpam-5851	314	1	by	by	ADP
ejpam-5851	314	2	replacing	replace	VERB
ejpam-5851	314	3	them	they	PRON
ejpam-5851	314	4	into	into	ADP
ejpam-5851	314	5	equation	equation	NOUN
ejpam-5851	314	6	(	(	PUNCT
ejpam-5851	314	7	36	36	NUM
ejpam-5851	314	8	)	)	PUNCT
ejpam-5851	314	9	and	and	CCONJ
ejpam-5851	314	10	the	the	DET
ejpam-5851	314	11	outcome	outcome	NOUN
ejpam-5851	314	12	into	into	ADP
ejpam-5851	314	13	equation	equation	NOUN
ejpam-5851	314	14	(	(	PUNCT
ejpam-5851	314	15	12	12	NUM
ejpam-5851	314	16	)	)	PUNCT
ejpam-5851	314	17	,	,	PUNCT
ejpam-5851	314	18	we	we	PRON
ejpam-5851	314	19	obtain	obtain	VERB
ejpam-5851	314	20	λ1pl(σ	λ1pl(σ	NOUN
ejpam-5851	314	21	)	)	PUNCT
ejpam-5851	315	1	=	=	SYM
ejpam-5851	315	2	−	−	PROPN
ejpam-5851	316	1	i	i	PRON
ejpam-5851	316	2	√	√	VERB
ejpam-5851	316	3	aθ(2−	aθ(2−	PROPN
ejpam-5851	316	4	bθ	bθ	PROPN
ejpam-5851	316	5	)	)	PUNCT
ejpam-5851	317	1	+	+	CCONJ
ejpam-5851	317	2	ω1(bθ	ω1(bθ	NUM
ejpam-5851	317	3	−	−	PROPN
ejpam-5851	317	4	1)2	1)2	NUM
ejpam-5851	317	5	tan	tan	PROPN
ejpam-5851	317	6	(	(	PUNCT
ejpam-5851	317	7	σ	σ	PROPN
ejpam-5851	317	8	√	√	PROPN
ejpam-5851	317	9	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	317	10	√	√	PROPN
ejpam-5851	317	11	2	2	NUM
ejpam-5851	317	12	√	√	NUM
ejpam-5851	317	13	b(a−bω1	b(a−bω1	NOUN
ejpam-5851	317	14	)	)	PUNCT
ejpam-5851	317	15	+	+	NUM
ejpam-5851	317	16	v6	v6	NOUN
ejpam-5851	317	17	)	)	PUNCT
ejpam-5851	318	1	√	√	ADV
ejpam-5851	318	2	2	2	NUM
ejpam-5851	319	1	√	√	NUM
ejpam-5851	319	2	c	c	NOUN
ejpam-5851	320	1	√	√	PROPN
ejpam-5851	320	2	d	d	NOUN
ejpam-5851	320	3	√	√	NUM
ejpam-5851	320	4	b	b	PROPN
ejpam-5851	320	5	(	(	PUNCT
ejpam-5851	320	6	a−	a−	PROPN
ejpam-5851	320	7	bω1	bω1	NOUN
ejpam-5851	320	8	)	)	PUNCT
ejpam-5851	320	9	.	.	PUNCT
ejpam-5851	321	1	(	(	PUNCT
ejpam-5851	321	2	37	37	NUM
ejpam-5851	321	3	)	)	PUNCT
ejpam-5851	321	4	substituting	substitute	VERB
ejpam-5851	321	5	equation	equation	NOUN
ejpam-5851	321	6	(	(	PUNCT
ejpam-5851	321	7	37	37	NUM
ejpam-5851	321	8	)	)	PUNCT
ejpam-5851	321	9	into	into	ADP
ejpam-5851	321	10	equation	equation	NOUN
ejpam-5851	321	11	(	(	PUNCT
ejpam-5851	321	12	10	10	NUM
ejpam-5851	321	13	)	)	PUNCT
ejpam-5851	321	14	yields	yield	NOUN
ejpam-5851	321	15	∆1pl(σ	∆1pl(σ	NUM
ejpam-5851	321	16	)	)	PUNCT
ejpam-5851	321	17	=	=	SYM
ejpam-5851	321	18	(	(	PUNCT
ejpam-5851	321	19	aθ(bθ	aθ(bθ	VERB
ejpam-5851	321	20	−	−	PUNCT
ejpam-5851	321	21	2)−	2)−	NUM
ejpam-5851	321	22	ω1(bθ	ω1(bθ	NUM
ejpam-5851	321	23	−	−	PROPN
ejpam-5851	321	24	1)2	1)2	NUM
ejpam-5851	321	25	)	)	PUNCT
ejpam-5851	321	26	tan2	tan2	PROPN
ejpam-5851	322	1	(	(	PUNCT
ejpam-5851	322	2	σ	σ	PROPN
ejpam-5851	322	3	√	√	PROPN
ejpam-5851	322	4	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	322	5	√	√	PROPN
ejpam-5851	322	6	2	2	NUM
ejpam-5851	322	7	√	√	NUM
ejpam-5851	322	8	b(a−bω1	b(a−bω1	NOUN
ejpam-5851	322	9	)	)	PUNCT
ejpam-5851	322	10	+	+	CCONJ
ejpam-5851	322	11	v6	v6	NOUN
ejpam-5851	322	12	)	)	PUNCT
ejpam-5851	322	13	bc	bc	PROPN
ejpam-5851	322	14	.	.	PUNCT
ejpam-5851	323	1	(	(	PUNCT
ejpam-5851	323	2	38	38	NUM
ejpam-5851	323	3	)	)	PUNCT
ejpam-5851	323	4	substituting	substitute	VERB
ejpam-5851	323	5	equations	equation	NOUN
ejpam-5851	323	6	(	(	PUNCT
ejpam-5851	323	7	37	37	NUM
ejpam-5851	323	8	)	)	PUNCT
ejpam-5851	323	9	and	and	CCONJ
ejpam-5851	323	10	(	(	PUNCT
ejpam-5851	323	11	38	38	NUM
ejpam-5851	323	12	)	)	PUNCT
ejpam-5851	323	13	into	into	ADP
ejpam-5851	323	14	equation	equation	NOUN
ejpam-5851	323	15	(	(	PUNCT
ejpam-5851	323	16	5	5	X
ejpam-5851	323	17	)	)	PUNCT
ejpam-5851	323	18	gives	give	VERB
ejpam-5851	323	19	pl	pl	PROPN
ejpam-5851	323	20	wave	wave	NOUN
ejpam-5851	323	21	solutions	solution	NOUN
ejpam-5851	323	22	for	for	ADP
ejpam-5851	323	23	equation	equation	NOUN
ejpam-5851	323	24	(	(	PUNCT
ejpam-5851	323	25	1	1	NUM
ejpam-5851	323	26	):	):	PUNCT
ejpam-5851	323	27	g1pl(x	g1pl(x	PROPN
ejpam-5851	323	28	,	,	PUNCT
ejpam-5851	323	29	t	t	PROPN
ejpam-5851	323	30	)	)	PUNCT
ejpam-5851	323	31	=	=	PUNCT
ejpam-5851	324	1	−	−	PROPN
ejpam-5851	325	1	i	i	PRON
ejpam-5851	325	2	√	√	VERB
ejpam-5851	325	3	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	325	4	exp	exp	PROPN
ejpam-5851	325	5	(	(	PUNCT
ejpam-5851	325	6	−	−	PROPN
ejpam-5851	325	7	i(−2aθt+tω1(bθ−1)+bθx	i(−2aθt+tω1(bθ−1)+bθx	NOUN
ejpam-5851	325	8	)	)	PUNCT
ejpam-5851	325	9	b	b	NOUN
ejpam-5851	325	10	)	)	PUNCT
ejpam-5851	325	11	tan	tan	PROPN
ejpam-5851	325	12	(	(	PUNCT
ejpam-5851	325	13	(	(	PUNCT
ejpam-5851	325	14	x−tω1	x−tω1	X
ejpam-5851	325	15	)	)	PUNCT
ejpam-5851	325	16	√	√	PROPN
ejpam-5851	325	17	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	325	18	√	√	PROPN
ejpam-5851	325	19	2	2	NUM
ejpam-5851	325	20	√	√	NUM
ejpam-5851	325	21	b(a−bω1	b(a−bω1	NOUN
ejpam-5851	325	22	)	)	PUNCT
ejpam-5851	326	1	+	+	PROPN
ejpam-5851	326	2	v6	v6	NOUN
ejpam-5851	326	3	)	)	PUNCT
ejpam-5851	327	1	√	√	ADV
ejpam-5851	327	2	2	2	NUM
ejpam-5851	328	1	√	√	NUM
ejpam-5851	328	2	c	c	NOUN
ejpam-5851	328	3	√	√	PROPN
ejpam-5851	328	4	d	d	NUM
ejpam-5851	328	5	√	√	NUM
ejpam-5851	328	6	b(a−bω1	b(a−bω1	NOUN
ejpam-5851	328	7	)	)	PUNCT
ejpam-5851	328	8	,	,	PUNCT
ejpam-5851	328	9	(	(	PUNCT
ejpam-5851	328	10	39	39	NUM
ejpam-5851	328	11	)	)	PUNCT
ejpam-5851	328	12	h1pl(x	h1pl(x	PROPN
ejpam-5851	328	13	,	,	PUNCT
ejpam-5851	328	14	t	t	PROPN
ejpam-5851	328	15	)	)	PUNCT
ejpam-5851	328	16	=	=	PRON
ejpam-5851	328	17	(	(	PUNCT
ejpam-5851	328	18	aθ(bθ−2)−ω1(bθ−1)2	aθ(bθ−2)−ω1(bθ−1)2	PROPN
ejpam-5851	328	19	)	)	PUNCT
ejpam-5851	328	20	tan2	tan2	NOUN
ejpam-5851	328	21	(	(	PUNCT
ejpam-5851	328	22	(	(	PUNCT
ejpam-5851	328	23	x−tω1	x−tω1	X
ejpam-5851	328	24	)	)	PUNCT
ejpam-5851	328	25	√	√	PROPN
ejpam-5851	329	1	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	329	2	√	√	PROPN
ejpam-5851	329	3	2	2	NUM
ejpam-5851	329	4	√	√	NUM
ejpam-5851	329	5	b(a−bω1	b(a−bω1	NOUN
ejpam-5851	329	6	)	)	PUNCT
ejpam-5851	330	1	+	+	PROPN
ejpam-5851	330	2	v6	v6	NOUN
ejpam-5851	330	3	)	)	PUNCT
ejpam-5851	330	4	bc	bc	PROPN
ejpam-5851	330	5	,	,	PUNCT
ejpam-5851	330	6	(	(	PUNCT
ejpam-5851	330	7	40	40	NUM
ejpam-5851	330	8	)	)	PUNCT
ejpam-5851	330	9	figures	figure	NOUN
ejpam-5851	330	10	9	9	NUM
ejpam-5851	330	11	and	and	CCONJ
ejpam-5851	330	12	10	10	NUM
ejpam-5851	330	13	depict	depict	ADJ
ejpam-5851	330	14	multiple	multiple	ADJ
ejpam-5851	330	15	periodic	periodic	ADJ
ejpam-5851	330	16	bright	bright	ADJ
ejpam-5851	330	17	lump	lump	NOUN
ejpam-5851	330	18	-	-	PUNCT
ejpam-5851	330	19	like	like	ADJ
ejpam-5851	330	20	wave	wave	NOUN
ejpam-5851	330	21	solutions	solution	NOUN
ejpam-5851	330	22	.	.	PUNCT
ejpam-5851	331	1	in	in	ADP
ejpam-5851	331	2	particular	particular	ADJ
ejpam-5851	331	3	,	,	PUNCT
ejpam-5851	331	4	figure	figure	NOUN
ejpam-5851	331	5	9	9	NUM
ejpam-5851	331	6	shows	show	VERB
ejpam-5851	331	7	the	the	DET
ejpam-5851	331	8	solution	solution	NOUN
ejpam-5851	331	9	g1lp	g1lp	PUNCT
ejpam-5851	331	10	(	(	PUNCT
ejpam-5851	331	11	x	x	NOUN
ejpam-5851	331	12	,	,	PUNCT
ejpam-5851	331	13	t	t	PROPN
ejpam-5851	331	14	)	)	PUNCT
ejpam-5851	331	15	corresponding	correspond	VERB
ejpam-5851	331	16	to	to	ADP
ejpam-5851	331	17	equation	equation	NOUN
ejpam-5851	331	18	(	(	PUNCT
ejpam-5851	331	19	39	39	NUM
ejpam-5851	331	20	)	)	PUNCT
ejpam-5851	331	21	for	for	ADP
ejpam-5851	331	22	the	the	DET
ejpam-5851	331	23	parameters	parameter	NOUN
ejpam-5851	331	24	v6	v6	NOUN
ejpam-5851	331	25	=	=	PUNCT
ejpam-5851	331	26	1.4	1.4	NUM
ejpam-5851	331	27	,	,	PUNCT
ejpam-5851	331	28	a	a	DET
ejpam-5851	331	29	=	=	SYM
ejpam-5851	331	30	1.5	1.5	NUM
ejpam-5851	331	31	,	,	PUNCT
ejpam-5851	331	32	b	b	NOUN
ejpam-5851	331	33	=	=	SYM
ejpam-5851	331	34	6.9	6.9	NUM
ejpam-5851	331	35	,	,	PUNCT
ejpam-5851	331	36	c	c	NOUN
ejpam-5851	331	37	=	=	SYM
ejpam-5851	331	38	3.4	3.4	NUM
ejpam-5851	331	39	,	,	PUNCT
ejpam-5851	331	40	d	d	NOUN
ejpam-5851	331	41	=	=	SYM
ejpam-5851	331	42	1	1	NUM
ejpam-5851	331	43	,	,	PUNCT
ejpam-5851	331	44	ω1	ω1	X
ejpam-5851	331	45	=	=	SYM
ejpam-5851	331	46	1.5	1.5	NUM
ejpam-5851	331	47	,	,	PUNCT
ejpam-5851	331	48	θ	θ	PROPN
ejpam-5851	331	49	=	=	SYM
ejpam-5851	331	50	3.1	3.1	NUM
ejpam-5851	331	51	.	.	PUNCT
ejpam-5851	332	1	meanwhile	meanwhile	ADV
ejpam-5851	332	2	,	,	PUNCT
ejpam-5851	332	3	figure	figure	VERB
ejpam-5851	332	4	10	10	NUM
ejpam-5851	332	5	shows	show	VERB
ejpam-5851	332	6	the	the	DET
ejpam-5851	332	7	solution	solution	NOUN
ejpam-5851	332	8	h1lp	h1lp	PUNCT
ejpam-5851	332	9	(	(	PUNCT
ejpam-5851	332	10	x	x	NOUN
ejpam-5851	332	11	,	,	PUNCT
ejpam-5851	332	12	t	t	PROPN
ejpam-5851	332	13	)	)	PUNCT
ejpam-5851	332	14	provided	provide	VERB
ejpam-5851	332	15	by	by	ADP
ejpam-5851	332	16	equation	equation	NOUN
ejpam-5851	332	17	(	(	PUNCT
ejpam-5851	332	18	40	40	NUM
ejpam-5851	332	19	)	)	PUNCT
ejpam-5851	332	20	for	for	ADP
ejpam-5851	332	21	the	the	DET
ejpam-5851	332	22	same	same	ADJ
ejpam-5851	332	23	choice	choice	NOUN
ejpam-5851	332	24	of	of	ADP
ejpam-5851	332	25	parameter	parameter	NOUN
ejpam-5851	332	26	values	value	NOUN
ejpam-5851	332	27	.	.	PUNCT
ejpam-5851	333	1	4.4	4.4	NUM
ejpam-5851	333	2	.	.	PUNCT
ejpam-5851	334	1	periodic	periodic	ADJ
ejpam-5851	334	2	cross	cross	NOUN
ejpam-5851	334	3	kink	kink	PROPN
ejpam-5851	334	4	(	(	PUNCT
ejpam-5851	334	5	pck	pck	PROPN
ejpam-5851	334	6	)	)	PUNCT
ejpam-5851	334	7	this	this	DET
ejpam-5851	334	8	pattern	pattern	NOUN
ejpam-5851	334	9	of	of	ADP
ejpam-5851	334	10	waves	wave	NOUN
ejpam-5851	334	11	is	be	AUX
ejpam-5851	334	12	reached	reach	VERB
ejpam-5851	334	13	by	by	ADP
ejpam-5851	334	14	using	use	VERB
ejpam-5851	334	15	(	(	PUNCT
ejpam-5851	334	16	see	see	VERB
ejpam-5851	334	17	[	[	X
ejpam-5851	334	18	54	54	NUM
ejpam-5851	334	19	]	]	SYM
ejpam-5851	334	20	)	)	PUNCT
ejpam-5851	334	21	φ(σ	φ(σ	NUM
ejpam-5851	334	22	)	)	PUNCT
ejpam-5851	334	23	=	=	SYM
ejpam-5851	334	24	j1	j1	PROPN
ejpam-5851	334	25	exp	exp	NOUN
ejpam-5851	334	26	(	(	PUNCT
ejpam-5851	334	27	k	k	X
ejpam-5851	334	28	(	(	PUNCT
ejpam-5851	334	29	σv3	σv3	NOUN
ejpam-5851	334	30	+	+	CCONJ
ejpam-5851	334	31	v4	v4	NOUN
ejpam-5851	334	32	)	)	PUNCT
ejpam-5851	334	33	)	)	PUNCT
ejpam-5851	335	1	+	+	CCONJ
ejpam-5851	335	2	exp	exp	NOUN
ejpam-5851	335	3	(	(	PUNCT
ejpam-5851	335	4	−k	−k	PROPN
ejpam-5851	335	5	(	(	PUNCT
ejpam-5851	335	6	σv1	σv1	NOUN
ejpam-5851	335	7	+	+	CCONJ
ejpam-5851	335	8	v2	v2	NOUN
ejpam-5851	335	9	)	)	PUNCT
ejpam-5851	335	10	)	)	PUNCT
ejpam-5851	336	1	+	+	CCONJ
ejpam-5851	336	2	j2	j2	PROPN
ejpam-5851	336	3	cos	cos	PROPN
ejpam-5851	336	4	(	(	PUNCT
ejpam-5851	336	5	k	k	X
ejpam-5851	336	6	(	(	PUNCT
ejpam-5851	336	7	σv5	σv5	NOUN
ejpam-5851	336	8	+	+	X
ejpam-5851	336	9	v6	v6	NOUN
ejpam-5851	336	10	)	)	PUNCT
ejpam-5851	336	11	)	)	PUNCT
ejpam-5851	336	12	+	+	CCONJ
ejpam-5851	336	13	j3	j3	PROPN
ejpam-5851	336	14	cosh	cosh	PROPN
ejpam-5851	336	15	(	(	PUNCT
ejpam-5851	336	16	k	k	X
ejpam-5851	336	17	(	(	PUNCT
ejpam-5851	336	18	σv7	σv7	X
ejpam-5851	336	19	+	+	CCONJ
ejpam-5851	336	20	v8	v8	NOUN
ejpam-5851	336	21	)	)	PUNCT
ejpam-5851	336	22	)	)	PUNCT
ejpam-5851	337	1	+	+	CCONJ
ejpam-5851	338	1	v9	v9	NOUN
ejpam-5851	338	2	.	.	PUNCT
ejpam-5851	339	1	(	(	PUNCT
ejpam-5851	339	2	41	41	NUM
ejpam-5851	339	3	)	)	PUNCT
ejpam-5851	339	4	by	by	ADP
ejpam-5851	339	5	substituting	substitute	VERB
ejpam-5851	339	6	equation	equation	NOUN
ejpam-5851	339	7	(	(	PUNCT
ejpam-5851	339	8	41	41	NUM
ejpam-5851	339	9	)	)	PUNCT
ejpam-5851	339	10	and	and	CCONJ
ejpam-5851	339	11	its	its	PRON
ejpam-5851	339	12	first	first	ADJ
ejpam-5851	339	13	three	three	NUM
ejpam-5851	339	14	derivatives	derivative	NOUN
ejpam-5851	339	15	into	into	ADP
ejpam-5851	339	16	equation	equation	NOUN
ejpam-5851	339	17	(	(	PUNCT
ejpam-5851	339	18	13	13	NUM
ejpam-5851	339	19	)	)	PUNCT
ejpam-5851	339	20	,	,	PUNCT
ejpam-5851	339	21	and	and	CCONJ
ejpam-5851	339	22	proceeding	proceed	VERB
ejpam-5851	339	23	as	as	ADP
ejpam-5851	339	24	before	before	ADV
ejpam-5851	339	25	,	,	PUNCT
ejpam-5851	339	26	we	we	PRON
ejpam-5851	339	27	derive	derive	VERB
ejpam-5851	339	28	the	the	DET
ejpam-5851	339	29	following	follow	VERB
ejpam-5851	339	30	sets	set	NOUN
ejpam-5851	339	31	of	of	ADP
ejpam-5851	339	32	constant	constant	ADJ
ejpam-5851	339	33	values	value	NOUN
ejpam-5851	339	34	:	:	PUNCT
ejpam-5851	339	35	b.	b.	PROPN
ejpam-5851	339	36	ceesay	ceesay	VERB
ejpam-5851	339	37	et	et	PROPN
ejpam-5851	339	38	al	al	PROPN
ejpam-5851	339	39	.	.	PUNCT
ejpam-5851	339	40	/	/	SYM
ejpam-5851	339	41	eur	eur	PROPN
ejpam-5851	339	42	.	.	PUNCT
ejpam-5851	340	1	j.	j.	PROPN
ejpam-5851	340	2	pure	pure	PROPN
ejpam-5851	340	3	appl	appl	PROPN
ejpam-5851	340	4	.	.	PROPN
ejpam-5851	340	5	math	math	PROPN
ejpam-5851	340	6	,	,	PUNCT
ejpam-5851	340	7	18	18	NUM
ejpam-5851	340	8	(	(	PUNCT
ejpam-5851	340	9	2	2	NUM
ejpam-5851	340	10	)	)	PUNCT
ejpam-5851	340	11	(	(	PUNCT
ejpam-5851	340	12	2025	2025	NUM
ejpam-5851	340	13	)	)	PUNCT
ejpam-5851	340	14	,	,	PUNCT
ejpam-5851	340	15	5851	5851	NUM
ejpam-5851	340	16	14	14	NUM
ejpam-5851	340	17	of	of	ADP
ejpam-5851	340	18	32	32	NUM
ejpam-5851	340	19	(	(	PUNCT
ejpam-5851	340	20	a	a	NOUN
ejpam-5851	340	21	)	)	PUNCT
ejpam-5851	340	22	(	(	PUNCT
ejpam-5851	340	23	b	b	X
ejpam-5851	340	24	)	)	PUNCT
ejpam-5851	340	25	(	(	PUNCT
ejpam-5851	340	26	c	c	X
ejpam-5851	340	27	)	)	PUNCT
ejpam-5851	340	28	figure	figure	NOUN
ejpam-5851	340	29	10	10	NUM
ejpam-5851	340	30	:	:	PUNCT
ejpam-5851	340	31	(	(	PUNCT
ejpam-5851	340	32	a	a	X
ejpam-5851	340	33	)	)	PUNCT
ejpam-5851	340	34	three	three	NUM
ejpam-5851	340	35	-	-	PUNCT
ejpam-5851	340	36	dimensional	dimensional	ADJ
ejpam-5851	340	37	plot	plot	NOUN
ejpam-5851	340	38	,	,	PUNCT
ejpam-5851	340	39	(	(	PUNCT
ejpam-5851	340	40	b	b	X
ejpam-5851	340	41	)	)	PUNCT
ejpam-5851	340	42	contour	contour	NOUN
ejpam-5851	340	43	plot	plot	NOUN
ejpam-5851	340	44	and	and	CCONJ
ejpam-5851	340	45	(	(	PUNCT
ejpam-5851	340	46	c	c	NOUN
ejpam-5851	340	47	)	)	PUNCT
ejpam-5851	340	48	density	density	NOUN
ejpam-5851	340	49	plot	plot	NOUN
ejpam-5851	340	50	corresponding	correspond	VERB
ejpam-5851	340	51	to	to	ADP
ejpam-5851	340	52	the	the	DET
ejpam-5851	340	53	function	function	NOUN
ejpam-5851	340	54	h1pl	h1pl	NOUN
ejpam-5851	340	55	versus	versus	X
ejpam-5851	340	56	x	x	PUNCT
ejpam-5851	340	57	and	and	CCONJ
ejpam-5851	340	58	t.	t.	NOUN
ejpam-5851	340	59	we	we	PRON
ejpam-5851	340	60	used	use	VERB
ejpam-5851	340	61	the	the	DET
ejpam-5851	340	62	parameters	parameter	NOUN
ejpam-5851	340	63	v6	v6	NOUN
ejpam-5851	340	64	=	=	PUNCT
ejpam-5851	340	65	1.4	1.4	NUM
ejpam-5851	340	66	,	,	PUNCT
ejpam-5851	340	67	a	a	DET
ejpam-5851	340	68	=	=	SYM
ejpam-5851	340	69	1.5	1.5	NUM
ejpam-5851	340	70	,	,	PUNCT
ejpam-5851	340	71	b	b	NOUN
ejpam-5851	340	72	=	=	SYM
ejpam-5851	340	73	6.9	6.9	NUM
ejpam-5851	340	74	,	,	PUNCT
ejpam-5851	340	75	c	c	NOUN
ejpam-5851	340	76	=	=	SYM
ejpam-5851	340	77	3.4	3.4	NUM
ejpam-5851	340	78	,	,	PUNCT
ejpam-5851	340	79	d	d	NOUN
ejpam-5851	340	80	=	=	SYM
ejpam-5851	340	81	1	1	NUM
ejpam-5851	340	82	,	,	PUNCT
ejpam-5851	340	83	ω1	ω1	X
ejpam-5851	340	84	=	=	SYM
ejpam-5851	340	85	1.5	1.5	NUM
ejpam-5851	340	86	,	,	PUNCT
ejpam-5851	340	87	θ	θ	PROPN
ejpam-5851	340	88	=	=	SYM
ejpam-5851	340	89	3.1	3.1	NUM
ejpam-5851	340	90	.	.	PUNCT
ejpam-5851	341	1	family	family	NOUN
ejpam-5851	341	2	1	1	NUM
ejpam-5851	341	3	.	.	PUNCT
ejpam-5851	342	1	j3	j3	PROPN
ejpam-5851	342	2	=	=	SYM
ejpam-5851	342	3	0	0	PROPN
ejpam-5851	342	4	,	,	PUNCT
ejpam-5851	342	5	v1	v1	NOUN
ejpam-5851	342	6	=	=	SYM
ejpam-5851	342	7	−	−	PROPN
ejpam-5851	342	8	√	√	PROPN
ejpam-5851	342	9	−abθ2	−abθ2	NOUN
ejpam-5851	342	10	+	+	CCONJ
ejpam-5851	342	11	2aθ	2aθ	NOUN
ejpam-5851	342	12	+	+	CCONJ
ejpam-5851	342	13	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	342	14	−	−	PROPN
ejpam-5851	342	15	2bθω1	2bθω1	NUM
ejpam-5851	342	16	+	+	CCONJ
ejpam-5851	342	17	ω1√	ω1√	PROPN
ejpam-5851	342	18	2	2	NUM
ejpam-5851	342	19	√	√	NOUN
ejpam-5851	342	20	−bk2	−bk2	NOUN
ejpam-5851	342	21	(	(	PUNCT
ejpam-5851	342	22	a−	a−	NOUN
ejpam-5851	342	23	bω1	bω1	NOUN
ejpam-5851	342	24	)	)	PUNCT
ejpam-5851	342	25	,	,	PUNCT
ejpam-5851	342	26	v3	v3	PROPN
ejpam-5851	342	27	=	=	PUNCT
ejpam-5851	342	28	−	−	PROPN
ejpam-5851	342	29	√	√	INTJ
ejpam-5851	342	30	−abθ2	−abθ2	NOUN
ejpam-5851	342	31	+	+	CCONJ
ejpam-5851	342	32	2aθ	2aθ	NOUN
ejpam-5851	343	1	+	+	CCONJ
ejpam-5851	343	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	343	3	−	−	PROPN
ejpam-5851	343	4	2bθω1	2bθω1	NUM
ejpam-5851	343	5	+	+	CCONJ
ejpam-5851	343	6	ω1√	ω1√	VERB
ejpam-5851	343	7	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	343	8	−	−	PROPN
ejpam-5851	343	9	2abk2	2abk2	NUM
ejpam-5851	343	10	,	,	PUNCT
ejpam-5851	343	11	v5	v5	PROPN
ejpam-5851	343	12	=	=	SYM
ejpam-5851	343	13	−	−	PROPN
ejpam-5851	343	14	√	√	PROPN
ejpam-5851	343	15	−abθ2	−abθ2	NOUN
ejpam-5851	343	16	+	+	CCONJ
ejpam-5851	343	17	2aθ	2aθ	NOUN
ejpam-5851	344	1	+	+	CCONJ
ejpam-5851	344	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	344	3	−	−	PROPN
ejpam-5851	344	4	2bθω1	2bθω1	NUM
ejpam-5851	344	5	+	+	CCONJ
ejpam-5851	344	6	ω1√	ω1√	PROPN
ejpam-5851	344	7	2	2	NUM
ejpam-5851	344	8	√	√	NOUN
ejpam-5851	344	9	abk2	abk2	NOUN
ejpam-5851	344	10	−	−	NOUN
ejpam-5851	344	11	b2k2ω1	b2k2ω1	NOUN
ejpam-5851	344	12	,	,	PUNCT
ejpam-5851	344	13	v9	v9	PROPN
ejpam-5851	344	14	=	=	SYM
ejpam-5851	344	15	0	0	NUM
ejpam-5851	344	16	,	,	PUNCT
ejpam-5851	344	17	r	r	NOUN
ejpam-5851	344	18	=	=	PUNCT
ejpam-5851	344	19	i	i	PRON
ejpam-5851	344	20	√	√	VERB
ejpam-5851	344	21	c	c	VERB
ejpam-5851	344	22	√	√	NUM
ejpam-5851	344	23	d	d	NOUN
ejpam-5851	344	24	.	.	PUNCT
ejpam-5851	345	1	substituting	substitute	VERB
ejpam-5851	345	2	these	these	DET
ejpam-5851	345	3	constant	constant	ADJ
ejpam-5851	345	4	values	value	NOUN
ejpam-5851	345	5	into	into	ADP
ejpam-5851	345	6	equation	equation	NOUN
ejpam-5851	345	7	(	(	PUNCT
ejpam-5851	345	8	41	41	NUM
ejpam-5851	345	9	)	)	PUNCT
ejpam-5851	345	10	and	and	CCONJ
ejpam-5851	345	11	then	then	ADV
ejpam-5851	345	12	the	the	DET
ejpam-5851	345	13	outcome	outcome	NOUN
ejpam-5851	345	14	into	into	ADP
ejpam-5851	345	15	equation	equation	NOUN
ejpam-5851	345	16	(	(	PUNCT
ejpam-5851	345	17	12	12	NUM
ejpam-5851	345	18	)	)	PUNCT
ejpam-5851	345	19	,	,	PUNCT
ejpam-5851	345	20	we	we	PRON
ejpam-5851	345	21	reach	reach	VERB
ejpam-5851	345	22	λ1pck(σ	λ1pck(σ	PRON
ejpam-5851	345	23	)	)	PUNCT
ejpam-5851	345	24	=	=	SYM
ejpam-5851	346	1	−	−	PROPN
ejpam-5851	346	2			X
ejpam-5851	346	3	ik	ik	PROPN
ejpam-5851	346	4	√	√	PROPN
ejpam-5851	346	5	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	PROPN
ejpam-5851	346	6	(	(	PUNCT
ejpam-5851	346	7	j1	j1	PROPN
ejpam-5851	346	8	√	√	PUNCT
ejpam-5851	346	9	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	346	10	)	)	PUNCT
ejpam-5851	346	11	exp	exp	NOUN
ejpam-5851	346	12	(	(	PUNCT
ejpam-5851	346	13	k	k	X
ejpam-5851	346	14	(	(	PUNCT
ejpam-5851	346	15	−	−	PROPN
ejpam-5851	346	16	σ	σ	PROPN
ejpam-5851	346	17	√	√	PROPN
ejpam-5851	346	18	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	346	19	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	346	20	)	)	PUNCT
ejpam-5851	346	21	+	+	NOUN
ejpam-5851	346	22	v2+v4	v2+v4	NOUN
ejpam-5851	346	23	)	)	PUNCT
ejpam-5851	346	24	)	)	PUNCT
ejpam-5851	347	1	−	−	ADP
ejpam-5851	347	2	√	√	NUM
ejpam-5851	347	3	bk2(a−bω1)−a9	bk2(a−bω1)−a9	PROPN
ejpam-5851	347	4	)	)	PUNCT
ejpam-5851	347	5	√	√	ADV
ejpam-5851	347	6	2	2	NUM
ejpam-5851	348	1	√	√	NUM
ejpam-5851	348	2	c	c	NOUN
ejpam-5851	348	3	√	√	PROPN
ejpam-5851	348	4	d	d	PROPN
ejpam-5851	348	5	(	(	PUNCT
ejpam-5851	348	6	j1	j1	PROPN
ejpam-5851	348	7	exp	exp	PROPN
ejpam-5851	348	8	(	(	PUNCT
ejpam-5851	348	9	k	k	X
ejpam-5851	348	10	(	(	PUNCT
ejpam-5851	348	11	−	−	PROPN
ejpam-5851	348	12	σ	σ	PROPN
ejpam-5851	348	13	√	√	PROPN
ejpam-5851	348	14	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	348	15	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	348	16	)	)	PUNCT
ejpam-5851	348	17	+	+	NOUN
ejpam-5851	348	18	v2+v4	v2+v4	NOUN
ejpam-5851	348	19	)	)	PUNCT
ejpam-5851	348	20	)	)	PUNCT
ejpam-5851	349	1	+	+	VERB
ejpam-5851	349	2	a10	a10	NUM
ejpam-5851	349	3	+	+	NOUN
ejpam-5851	349	4	1	1	NUM
ejpam-5851	349	5	)	)	PUNCT
ejpam-5851	349	6			PROPN
ejpam-5851	349	7	.	.	PUNCT
ejpam-5851	350	1	(	(	PUNCT
ejpam-5851	350	2	42	42	X
ejpam-5851	350	3	)	)	PUNCT
ejpam-5851	350	4	substituting	substitute	VERB
ejpam-5851	350	5	equation	equation	NOUN
ejpam-5851	350	6	(	(	PUNCT
ejpam-5851	350	7	42	42	NUM
ejpam-5851	350	8	)	)	PUNCT
ejpam-5851	350	9	into	into	ADP
ejpam-5851	350	10	equation	equation	NOUN
ejpam-5851	350	11	(	(	PUNCT
ejpam-5851	350	12	10	10	NUM
ejpam-5851	350	13	)	)	PUNCT
ejpam-5851	350	14	yields	yield	VERB
ejpam-5851	350	15	∆1pck(σ	∆1pck(σ	NOUN
ejpam-5851	350	16	)	)	PUNCT
ejpam-5851	350	17	=	=	SYM
ejpam-5851	351	1	−	−	PROPN
ejpam-5851	351	2	(	(	PUNCT
ejpam-5851	351	3	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	351	4	)	)	PUNCT
ejpam-5851	351	5	(	(	PUNCT
ejpam-5851	351	6	j1	j1	PROPN
ejpam-5851	351	7	√	√	NUM
ejpam-5851	351	8	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	351	9	)	)	PUNCT
ejpam-5851	351	10	(	(	PUNCT
ejpam-5851	351	11	−	−	PROPN
ejpam-5851	351	12	exp	exp	NOUN
ejpam-5851	351	13	(	(	PUNCT
ejpam-5851	351	14	k	k	X
ejpam-5851	351	15	(	(	PUNCT
ejpam-5851	351	16	−	−	PROPN
ejpam-5851	351	17	σ	σ	PROPN
ejpam-5851	351	18	√	√	PROPN
ejpam-5851	351	19	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	351	20	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	351	21	)	)	PUNCT
ejpam-5851	351	22	+	+	PROPN
ejpam-5851	351	23	v2+v4	v2+v4	NOUN
ejpam-5851	351	24	)	)	PUNCT
ejpam-5851	351	25	)	)	PUNCT
ejpam-5851	351	26	)	)	PUNCT
ejpam-5851	352	1	+	+	CCONJ
ejpam-5851	352	2	√	√	NUM
ejpam-5851	352	3	bk2(a−bω1)+a9	bk2(a−bω1)+a9	PROPN
ejpam-5851	352	4	)	)	PUNCT
ejpam-5851	353	1	2	2	NUM
ejpam-5851	353	2	bc	bc	PROPN
ejpam-5851	353	3	(	(	PUNCT
ejpam-5851	353	4	j1	j1	PROPN
ejpam-5851	353	5	exp	exp	PROPN
ejpam-5851	353	6	(	(	PUNCT
ejpam-5851	353	7	k	k	X
ejpam-5851	353	8	(	(	PUNCT
ejpam-5851	353	9	−	−	PROPN
ejpam-5851	353	10	σ	σ	PROPN
ejpam-5851	353	11	√	√	PROPN
ejpam-5851	353	12	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	353	13	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	353	14	)	)	PUNCT
ejpam-5851	353	15	+	+	NOUN
ejpam-5851	353	16	v2+v4	v2+v4	NOUN
ejpam-5851	353	17	)	)	PUNCT
ejpam-5851	353	18	)	)	PUNCT
ejpam-5851	354	1	+	+	VERB
ejpam-5851	354	2	a10	a10	NUM
ejpam-5851	354	3	+	+	NOUN
ejpam-5851	354	4	1	1	NUM
ejpam-5851	354	5	)	)	PUNCT
ejpam-5851	354	6	2	2	NUM
ejpam-5851	354	7	,	,	PUNCT
ejpam-5851	354	8	(	(	PUNCT
ejpam-5851	354	9	43	43	NUM
ejpam-5851	354	10	)	)	PUNCT
ejpam-5851	354	11	where	where	SCONJ
ejpam-5851	354	12	a9	a9	PROPN
ejpam-5851	354	13	=	=	SYM
ejpam-5851	354	14	j2	j2	PROPN
ejpam-5851	354	15	√	√	PROPN
ejpam-5851	354	16	bk2	bk2	NOUN
ejpam-5851	354	17	(	(	PUNCT
ejpam-5851	354	18	bω1	bω1	NOUN
ejpam-5851	354	19	−	−	PROPN
ejpam-5851	354	20	a	a	NOUN
ejpam-5851	354	21	)	)	PUNCT
ejpam-5851	354	22	exp	exp	NOUN
ejpam-5851	354	23	(	(	PUNCT
ejpam-5851	354	24	k	k	X
ejpam-5851	354	25	(	(	PUNCT
ejpam-5851	354	26	v2	v2	PROPN
ejpam-5851	354	27	−	−	PROPN
ejpam-5851	354	28	σ	σ	NOUN
ejpam-5851	354	29	√	√	PROPN
ejpam-5851	354	30	aθ(2−	aθ(2−	PROPN
ejpam-5851	354	31	bθ	bθ	PROPN
ejpam-5851	354	32	)	)	PUNCT
ejpam-5851	354	33	+	+	CCONJ
ejpam-5851	354	34	ω1(bθ	ω1(bθ	NUM
ejpam-5851	354	35	−	−	PROPN
ejpam-5851	355	1	1)2	1)2	NUM
ejpam-5851	355	2	√	√	NUM
ejpam-5851	355	3	2	2	NUM
ejpam-5851	355	4	√	√	NUM
ejpam-5851	355	5	bk2	bk2	NOUN
ejpam-5851	355	6	(	(	PUNCT
ejpam-5851	355	7	bω1	bω1	NOUN
ejpam-5851	355	8	−	−	NOUN
ejpam-5851	355	9	a	a	NOUN
ejpam-5851	355	10	)	)	PUNCT
ejpam-5851	355	11	)	)	PUNCT
ejpam-5851	355	12	)	)	PUNCT
ejpam-5851	356	1	·	·	PUNCT
ejpam-5851	356	2	sin	sin	NOUN
ejpam-5851	356	3	(	(	PUNCT
ejpam-5851	356	4	k	k	X
ejpam-5851	356	5	(	(	PUNCT
ejpam-5851	356	6	v6	v6	PROPN
ejpam-5851	356	7	−	−	PROPN
ejpam-5851	357	1	σ	σ	PROPN
ejpam-5851	357	2	√	√	PROPN
ejpam-5851	357	3	aθ(2−	aθ(2−	PROPN
ejpam-5851	357	4	bθ	bθ	PROPN
ejpam-5851	357	5	)	)	PUNCT
ejpam-5851	358	1	+	+	CCONJ
ejpam-5851	359	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	359	2	−	−	PROPN
ejpam-5851	360	1	1)2	1)2	NUM
ejpam-5851	360	2	√	√	NUM
ejpam-5851	360	3	2	2	NUM
ejpam-5851	360	4	√	√	NUM
ejpam-5851	360	5	bk2	bk2	NOUN
ejpam-5851	360	6	(	(	PUNCT
ejpam-5851	360	7	a−	a−	PROPN
ejpam-5851	360	8	bω1	bω1	NOUN
ejpam-5851	360	9	)	)	PUNCT
ejpam-5851	360	10	)	)	PUNCT
ejpam-5851	360	11	)	)	PUNCT
ejpam-5851	360	12	(	(	PUNCT
ejpam-5851	360	13	44	44	X
ejpam-5851	360	14	)	)	PUNCT
ejpam-5851	360	15	b.	b.	PROPN
ejpam-5851	361	1	ceesay	ceesay	PROPN
ejpam-5851	361	2	et	et	PROPN
ejpam-5851	361	3	al	al	PROPN
ejpam-5851	361	4	.	.	PUNCT
ejpam-5851	361	5	/	/	SYM
ejpam-5851	361	6	eur	eur	PROPN
ejpam-5851	361	7	.	.	PUNCT
ejpam-5851	362	1	j.	j.	PROPN
ejpam-5851	362	2	pure	pure	PROPN
ejpam-5851	362	3	appl	appl	PROPN
ejpam-5851	362	4	.	.	PROPN
ejpam-5851	362	5	math	math	PROPN
ejpam-5851	362	6	,	,	PUNCT
ejpam-5851	362	7	18	18	NUM
ejpam-5851	362	8	(	(	PUNCT
ejpam-5851	362	9	2	2	NUM
ejpam-5851	362	10	)	)	PUNCT
ejpam-5851	362	11	(	(	PUNCT
ejpam-5851	362	12	2025	2025	NUM
ejpam-5851	362	13	)	)	PUNCT
ejpam-5851	362	14	,	,	PUNCT
ejpam-5851	362	15	5851	5851	NUM
ejpam-5851	362	16	15	15	NUM
ejpam-5851	362	17	of	of	ADP
ejpam-5851	362	18	32	32	NUM
ejpam-5851	362	19	and	and	CCONJ
ejpam-5851	362	20	a10	a10	NOUN
ejpam-5851	362	21	=	=	SYM
ejpam-5851	362	22	j2	j2	PROPN
ejpam-5851	362	23	exp	exp	PROPN
ejpam-5851	362	24	(	(	PUNCT
ejpam-5851	362	25	k	k	PROPN
ejpam-5851	362	26	(	(	PUNCT
ejpam-5851	362	27	v2	v2	PROPN
ejpam-5851	362	28	−	−	PROPN
ejpam-5851	362	29	σ	σ	NOUN
ejpam-5851	362	30	√	√	PROPN
ejpam-5851	362	31	aθ(2−	aθ(2−	PROPN
ejpam-5851	362	32	bθ	bθ	PROPN
ejpam-5851	362	33	)	)	PUNCT
ejpam-5851	363	1	+	+	CCONJ
ejpam-5851	364	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	364	2	−	−	PROPN
ejpam-5851	365	1	1)2	1)2	NUM
ejpam-5851	365	2	√	√	NUM
ejpam-5851	365	3	2	2	NUM
ejpam-5851	365	4	√	√	NUM
ejpam-5851	365	5	bk2	bk2	NOUN
ejpam-5851	365	6	(	(	PUNCT
ejpam-5851	365	7	bω1	bω1	NOUN
ejpam-5851	365	8	−	−	NOUN
ejpam-5851	365	9	a	a	NOUN
ejpam-5851	365	10	)	)	PUNCT
ejpam-5851	365	11	)	)	PUNCT
ejpam-5851	365	12	)	)	PUNCT
ejpam-5851	366	1	·	·	PUNCT
ejpam-5851	367	1	cos	cos	INTJ
ejpam-5851	367	2	(	(	PUNCT
ejpam-5851	367	3	k	k	X
ejpam-5851	367	4	(	(	PUNCT
ejpam-5851	367	5	v6	v6	PROPN
ejpam-5851	367	6	−	−	PROPN
ejpam-5851	367	7	σ	σ	PROPN
ejpam-5851	367	8	√	√	PROPN
ejpam-5851	367	9	aθ(2−	aθ(2−	PROPN
ejpam-5851	367	10	bθ	bθ	PROPN
ejpam-5851	367	11	)	)	PUNCT
ejpam-5851	367	12	+	+	CCONJ
ejpam-5851	367	13	ω1(bθ	ω1(bθ	NUM
ejpam-5851	367	14	−	−	PROPN
ejpam-5851	367	15	1)2	1)2	NUM
ejpam-5851	367	16	√	√	NUM
ejpam-5851	367	17	2	2	NUM
ejpam-5851	367	18	√	√	NUM
ejpam-5851	367	19	bk2	bk2	NOUN
ejpam-5851	367	20	(	(	PUNCT
ejpam-5851	367	21	a−	a−	PROPN
ejpam-5851	367	22	bω1	bω1	NOUN
ejpam-5851	367	23	)	)	PUNCT
ejpam-5851	367	24	)	)	PUNCT
ejpam-5851	367	25	)	)	PUNCT
ejpam-5851	367	26	)	)	PUNCT
ejpam-5851	367	27	√	√	PROPN
ejpam-5851	367	28	−b2k4	−b2k4	PROPN
ejpam-5851	367	29	(	(	PUNCT
ejpam-5851	367	30	a−	a−	PROPN
ejpam-5851	367	31	bω1	bω1	NOUN
ejpam-5851	367	32	)	)	PUNCT
ejpam-5851	367	33	2	2	NUM
ejpam-5851	367	34	.	.	PUNCT
ejpam-5851	367	35	(	(	PUNCT
ejpam-5851	367	36	45	45	NUM
ejpam-5851	367	37	)	)	PUNCT
ejpam-5851	367	38	substituting	substitute	VERB
ejpam-5851	367	39	equations	equation	NOUN
ejpam-5851	367	40	(	(	PUNCT
ejpam-5851	367	41	42	42	NUM
ejpam-5851	367	42	)	)	PUNCT
ejpam-5851	367	43	and	and	CCONJ
ejpam-5851	367	44	(	(	PUNCT
ejpam-5851	367	45	43	43	NUM
ejpam-5851	367	46	)	)	PUNCT
ejpam-5851	367	47	into	into	ADP
ejpam-5851	367	48	equation	equation	NOUN
ejpam-5851	367	49	(	(	PUNCT
ejpam-5851	367	50	5	5	X
ejpam-5851	367	51	)	)	PUNCT
ejpam-5851	367	52	gives	give	VERB
ejpam-5851	367	53	a	a	DET
ejpam-5851	367	54	pck	pck	NOUN
ejpam-5851	367	55	wave	wave	NOUN
ejpam-5851	367	56	solutions	solution	NOUN
ejpam-5851	367	57	for	for	ADP
ejpam-5851	367	58	equation	equation	NOUN
ejpam-5851	367	59	(	(	PUNCT
ejpam-5851	367	60	1	1	NUM
ejpam-5851	367	61	):	):	PUNCT
ejpam-5851	367	62	g1pck(x	g1pck(x	PROPN
ejpam-5851	367	63	,	,	PUNCT
ejpam-5851	367	64	t	t	PROPN
ejpam-5851	367	65	)	)	PUNCT
ejpam-5851	367	66	=	=	SYM
ejpam-5851	368	1	ia13	ia13	PROPN
ejpam-5851	368	2	(	(	PUNCT
ejpam-5851	368	3	j1	j1	PROPN
ejpam-5851	368	4	√	√	PUNCT
ejpam-5851	368	5	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	368	6	)	)	PUNCT
ejpam-5851	368	7	(	(	PUNCT
ejpam-5851	368	8	−	−	PROPN
ejpam-5851	368	9	exp	exp	NOUN
ejpam-5851	368	10	(	(	PUNCT
ejpam-5851	368	11	k	k	X
ejpam-5851	368	12	(	(	PUNCT
ejpam-5851	368	13	(	(	PUNCT
ejpam-5851	368	14	tω1−x	tω1−x	NOUN
ejpam-5851	368	15	)	)	PUNCT
ejpam-5851	368	16	√	√	ADP
ejpam-5851	368	17	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	368	18	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	368	19	)	)	PUNCT
ejpam-5851	368	20	+	+	PROPN
ejpam-5851	368	21	v2+v4	v2+v4	NOUN
ejpam-5851	368	22	)	)	PUNCT
ejpam-5851	368	23	)	)	PUNCT
ejpam-5851	368	24	)	)	PUNCT
ejpam-5851	369	1	+	+	CCONJ
ejpam-5851	369	2	√	√	NUM
ejpam-5851	369	3	bk2(a−bω1)+a11	bk2(a−bω1)+a11	NOUN
ejpam-5851	369	4	)	)	PUNCT
ejpam-5851	369	5	√	√	ADP
ejpam-5851	369	6	2	2	NUM
ejpam-5851	370	1	√	√	NUM
ejpam-5851	370	2	c	c	NOUN
ejpam-5851	370	3	√	√	PROPN
ejpam-5851	370	4	d	d	PROPN
ejpam-5851	370	5	(	(	PUNCT
ejpam-5851	370	6	j1	j1	PROPN
ejpam-5851	370	7	exp	exp	PROPN
ejpam-5851	370	8	(	(	PUNCT
ejpam-5851	370	9	k	k	X
ejpam-5851	370	10	(	(	PUNCT
ejpam-5851	370	11	(	(	PUNCT
ejpam-5851	370	12	tω1−x	tω1−x	NOUN
ejpam-5851	370	13	)	)	PUNCT
ejpam-5851	370	14	√	√	ADP
ejpam-5851	370	15	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	370	16	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	370	17	)	)	PUNCT
ejpam-5851	370	18	+	+	NOUN
ejpam-5851	370	19	v2+v4	v2+v4	NOUN
ejpam-5851	370	20	)	)	PUNCT
ejpam-5851	370	21	)	)	PUNCT
ejpam-5851	371	1	+	+	NOUN
ejpam-5851	371	2	a12	a12	NOUN
ejpam-5851	371	3	+	+	NOUN
ejpam-5851	371	4	1	1	NUM
ejpam-5851	371	5	)	)	PUNCT
ejpam-5851	371	6	,	,	PUNCT
ejpam-5851	371	7	(	(	PUNCT
ejpam-5851	371	8	46	46	NUM
ejpam-5851	371	9	)	)	PUNCT
ejpam-5851	371	10	h1pck(x	h1pck(x	PROPN
ejpam-5851	371	11	,	,	PUNCT
ejpam-5851	371	12	t	t	PROPN
ejpam-5851	371	13	)	)	PUNCT
ejpam-5851	371	14	=	=	SYM
ejpam-5851	371	15	−	−	PROPN
ejpam-5851	371	16	(	(	PUNCT
ejpam-5851	371	17	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	371	18	)	)	PUNCT
ejpam-5851	371	19	(	(	PUNCT
ejpam-5851	371	20	j1	j1	PROPN
ejpam-5851	371	21	√	√	NUM
ejpam-5851	371	22	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	371	23	)	)	PUNCT
ejpam-5851	371	24	(	(	PUNCT
ejpam-5851	371	25	−	−	PROPN
ejpam-5851	371	26	exp	exp	NOUN
ejpam-5851	371	27	(	(	PUNCT
ejpam-5851	371	28	k	k	X
ejpam-5851	371	29	(	(	PUNCT
ejpam-5851	371	30	(	(	PUNCT
ejpam-5851	371	31	tω1−x	tω1−x	NOUN
ejpam-5851	371	32	)	)	PUNCT
ejpam-5851	371	33	√	√	ADP
ejpam-5851	371	34	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	371	35	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	371	36	)	)	PUNCT
ejpam-5851	371	37	+	+	PROPN
ejpam-5851	371	38	v2+v4	v2+v4	NOUN
ejpam-5851	371	39	)	)	PUNCT
ejpam-5851	371	40	)	)	PUNCT
ejpam-5851	371	41	)	)	PUNCT
ejpam-5851	372	1	+	+	CCONJ
ejpam-5851	372	2	√	√	NUM
ejpam-5851	372	3	bk2(a−bω1)+a11	bk2(a−bω1)+a11	NOUN
ejpam-5851	372	4	)	)	PUNCT
ejpam-5851	372	5	2	2	NUM
ejpam-5851	372	6	bc	bc	PROPN
ejpam-5851	372	7	(	(	PUNCT
ejpam-5851	372	8	j1	j1	PROPN
ejpam-5851	372	9	exp	exp	PROPN
ejpam-5851	372	10	(	(	PUNCT
ejpam-5851	372	11	k	k	X
ejpam-5851	372	12	(	(	PUNCT
ejpam-5851	372	13	(	(	PUNCT
ejpam-5851	372	14	tω1−x	tω1−x	NOUN
ejpam-5851	372	15	)	)	PUNCT
ejpam-5851	372	16	√	√	ADP
ejpam-5851	372	17	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	372	18	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	372	19	)	)	PUNCT
ejpam-5851	372	20	+	+	NOUN
ejpam-5851	372	21	v2+v4	v2+v4	NOUN
ejpam-5851	372	22	)	)	PUNCT
ejpam-5851	372	23	)	)	PUNCT
ejpam-5851	373	1	+	+	NOUN
ejpam-5851	373	2	a12	a12	NOUN
ejpam-5851	373	3	+	+	NOUN
ejpam-5851	373	4	1	1	NUM
ejpam-5851	373	5	)	)	PUNCT
ejpam-5851	373	6	2	2	NUM
ejpam-5851	373	7	,	,	PUNCT
ejpam-5851	373	8	(	(	PUNCT
ejpam-5851	373	9	47	47	NUM
ejpam-5851	373	10	)	)	PUNCT
ejpam-5851	373	11	where	where	SCONJ
ejpam-5851	373	12	a11	a11	PROPN
ejpam-5851	373	13	=	=	SYM
ejpam-5851	373	14	j2	j2	PROPN
ejpam-5851	373	15	√	√	PROPN
ejpam-5851	373	16	bk2	bk2	NOUN
ejpam-5851	373	17	(	(	PUNCT
ejpam-5851	373	18	bω1	bω1	NOUN
ejpam-5851	373	19	−	−	PROPN
ejpam-5851	373	20	a	a	NOUN
ejpam-5851	373	21	)	)	PUNCT
ejpam-5851	373	22	exp	exp	NOUN
ejpam-5851	373	23	(	(	PUNCT
ejpam-5851	373	24	k	k	X
ejpam-5851	373	25	(	(	PUNCT
ejpam-5851	373	26	(	(	PUNCT
ejpam-5851	373	27	tω1	tω1	X
ejpam-5851	373	28	−	−	PROPN
ejpam-5851	373	29	x	x	SYM
ejpam-5851	373	30	)	)	PUNCT
ejpam-5851	373	31	√	√	PROPN
ejpam-5851	373	32	aθ(2−	aθ(2−	PROPN
ejpam-5851	373	33	bθ	bθ	PROPN
ejpam-5851	373	34	)	)	PUNCT
ejpam-5851	373	35	+	+	CCONJ
ejpam-5851	374	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	374	2	−	−	PROPN
ejpam-5851	375	1	1)2	1)2	NUM
ejpam-5851	375	2	√	√	NUM
ejpam-5851	375	3	2	2	NUM
ejpam-5851	375	4	√	√	NUM
ejpam-5851	375	5	bk2	bk2	NOUN
ejpam-5851	375	6	(	(	PUNCT
ejpam-5851	375	7	bω1	bω1	NOUN
ejpam-5851	375	8	−	−	NOUN
ejpam-5851	375	9	a	a	NOUN
ejpam-5851	375	10	)	)	PUNCT
ejpam-5851	376	1	+	+	CCONJ
ejpam-5851	376	2	v2	v2	NOUN
ejpam-5851	376	3	)	)	PUNCT
ejpam-5851	376	4	)	)	PUNCT
ejpam-5851	376	5	·	·	PUNCT
ejpam-5851	377	1	sin	sin	NOUN
ejpam-5851	377	2	(	(	PUNCT
ejpam-5851	377	3	k	k	X
ejpam-5851	377	4	(	(	PUNCT
ejpam-5851	377	5	(	(	PUNCT
ejpam-5851	377	6	tω1	tω1	X
ejpam-5851	377	7	−	−	PROPN
ejpam-5851	377	8	x	x	SYM
ejpam-5851	377	9	)	)	PUNCT
ejpam-5851	377	10	√	√	PROPN
ejpam-5851	377	11	aθ(2−	aθ(2−	PROPN
ejpam-5851	377	12	bθ	bθ	PROPN
ejpam-5851	377	13	)	)	PUNCT
ejpam-5851	377	14	+	+	CCONJ
ejpam-5851	377	15	ω1(bθ	ω1(bθ	NUM
ejpam-5851	377	16	−	−	PROPN
ejpam-5851	377	17	1)2	1)2	NUM
ejpam-5851	377	18	√	√	NUM
ejpam-5851	377	19	2	2	NUM
ejpam-5851	377	20	√	√	NUM
ejpam-5851	377	21	bk2	bk2	NOUN
ejpam-5851	377	22	(	(	PUNCT
ejpam-5851	377	23	a−	a−	PROPN
ejpam-5851	377	24	bω1	bω1	NOUN
ejpam-5851	377	25	)	)	PUNCT
ejpam-5851	377	26	+	+	NUM
ejpam-5851	377	27	v6	v6	NOUN
ejpam-5851	377	28	)	)	PUNCT
ejpam-5851	377	29	)	)	PUNCT
ejpam-5851	377	30	,	,	PUNCT
ejpam-5851	377	31	(	(	PUNCT
ejpam-5851	377	32	48	48	NUM
ejpam-5851	377	33	)	)	PUNCT
ejpam-5851	377	34	a12	a12	NOUN
ejpam-5851	377	35	=	=	SYM
ejpam-5851	377	36	j2	j2	PROPN
ejpam-5851	377	37	√	√	PROPN
ejpam-5851	377	38	−b2k4	−b2k4	PROPN
ejpam-5851	377	39	(	(	PUNCT
ejpam-5851	377	40	a−	a−	PROPN
ejpam-5851	377	41	bω1	bω1	NOUN
ejpam-5851	377	42	)	)	PUNCT
ejpam-5851	377	43	2	2	NUM
ejpam-5851	377	44	exp	exp	NOUN
ejpam-5851	377	45	(	(	PUNCT
ejpam-5851	377	46	k	k	X
ejpam-5851	377	47	(	(	PUNCT
ejpam-5851	377	48	(	(	PUNCT
ejpam-5851	377	49	tω1	tω1	X
ejpam-5851	377	50	−	−	PROPN
ejpam-5851	377	51	x	x	SYM
ejpam-5851	377	52	)	)	PUNCT
ejpam-5851	377	53	√	√	PROPN
ejpam-5851	377	54	aθ(2−	aθ(2−	PROPN
ejpam-5851	377	55	bθ	bθ	PROPN
ejpam-5851	377	56	)	)	PUNCT
ejpam-5851	377	57	+	+	CCONJ
ejpam-5851	377	58	ω1(bθ	ω1(bθ	NUM
ejpam-5851	377	59	−	−	PROPN
ejpam-5851	377	60	1)2	1)2	NUM
ejpam-5851	377	61	√	√	NUM
ejpam-5851	377	62	2	2	NUM
ejpam-5851	377	63	√	√	NUM
ejpam-5851	377	64	bk2	bk2	NOUN
ejpam-5851	377	65	(	(	PUNCT
ejpam-5851	377	66	bω1	bω1	NOUN
ejpam-5851	377	67	−	−	NOUN
ejpam-5851	377	68	a	a	NOUN
ejpam-5851	377	69	)	)	PUNCT
ejpam-5851	377	70	+	+	CCONJ
ejpam-5851	377	71	v2	v2	NOUN
ejpam-5851	377	72	)	)	PUNCT
ejpam-5851	377	73	)	)	PUNCT
ejpam-5851	377	74	·	·	PUNCT
ejpam-5851	378	1	cos	cos	INTJ
ejpam-5851	378	2	(	(	PUNCT
ejpam-5851	378	3	k	k	X
ejpam-5851	378	4	(	(	PUNCT
ejpam-5851	378	5	(	(	PUNCT
ejpam-5851	378	6	tω1	tω1	X
ejpam-5851	378	7	−	−	PROPN
ejpam-5851	378	8	x	x	SYM
ejpam-5851	378	9	)	)	PUNCT
ejpam-5851	378	10	√	√	PROPN
ejpam-5851	378	11	aθ(2−	aθ(2−	PROPN
ejpam-5851	378	12	bθ	bθ	PROPN
ejpam-5851	378	13	)	)	PUNCT
ejpam-5851	378	14	+	+	CCONJ
ejpam-5851	378	15	ω1(bθ	ω1(bθ	NUM
ejpam-5851	378	16	−	−	PROPN
ejpam-5851	378	17	1)2	1)2	NUM
ejpam-5851	378	18	√	√	NUM
ejpam-5851	378	19	2	2	NUM
ejpam-5851	378	20	√	√	NUM
ejpam-5851	378	21	bk2	bk2	NOUN
ejpam-5851	378	22	(	(	PUNCT
ejpam-5851	378	23	a−	a−	PROPN
ejpam-5851	378	24	bω1	bω1	NOUN
ejpam-5851	378	25	)	)	PUNCT
ejpam-5851	378	26	+	+	NUM
ejpam-5851	378	27	v6	v6	NOUN
ejpam-5851	378	28	)	)	PUNCT
ejpam-5851	378	29	)	)	PUNCT
ejpam-5851	378	30	(	(	PUNCT
ejpam-5851	378	31	49	49	NUM
ejpam-5851	378	32	)	)	PUNCT
ejpam-5851	378	33	and	and	CCONJ
ejpam-5851	378	34	a13	a13	NOUN
ejpam-5851	378	35	=	=	SYM
ejpam-5851	378	36	k	k	NOUN
ejpam-5851	378	37	√	√	PROPN
ejpam-5851	378	38	aθ(2−	aθ(2−	PROPN
ejpam-5851	378	39	bθ	bθ	PROPN
ejpam-5851	378	40	)	)	PUNCT
ejpam-5851	378	41	+	+	CCONJ
ejpam-5851	378	42	ω1(bθ	ω1(bθ	NUM
ejpam-5851	378	43	−	−	PROPN
ejpam-5851	378	44	1)2	1)2	NUM
ejpam-5851	378	45	exp	exp	NOUN
ejpam-5851	378	46	(	(	PUNCT
ejpam-5851	378	47	−	−	PROPN
ejpam-5851	378	48	i	i	PRON
ejpam-5851	378	49	(	(	PUNCT
ejpam-5851	378	50	−2aθt+	−2aθt+	PROPN
ejpam-5851	378	51	tω1(bθ	tω1(bθ	NUM
ejpam-5851	378	52	−	−	ADP
ejpam-5851	378	53	1	1	NUM
ejpam-5851	378	54	)	)	PUNCT
ejpam-5851	378	55	+	+	NUM
ejpam-5851	378	56	bθx	bθx	NOUN
ejpam-5851	378	57	)	)	PUNCT
ejpam-5851	378	58	b	b	NOUN
ejpam-5851	378	59	)	)	PUNCT
ejpam-5851	378	60	.	.	PUNCT
ejpam-5851	379	1	(	(	PUNCT
ejpam-5851	379	2	50	50	X
ejpam-5851	379	3	)	)	PUNCT
ejpam-5851	379	4	family	family	NOUN
ejpam-5851	379	5	2	2	NUM
ejpam-5851	379	6	.	.	PUNCT
ejpam-5851	380	1	j2	j2	PROPN
ejpam-5851	380	2	=	=	SYM
ejpam-5851	380	3	0	0	PROPN
ejpam-5851	380	4	,	,	PUNCT
ejpam-5851	380	5	v1	v1	NOUN
ejpam-5851	380	6	=	=	SYM
ejpam-5851	380	7	√	√	PROPN
ejpam-5851	380	8	−abθ2	−abθ2	NOUN
ejpam-5851	380	9	+	+	CCONJ
ejpam-5851	381	1	2aθ	2aθ	NOUN
ejpam-5851	382	1	+	+	CCONJ
ejpam-5851	382	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	382	3	−	−	PROPN
ejpam-5851	382	4	2bθω1	2bθω1	NUM
ejpam-5851	382	5	+	+	CCONJ
ejpam-5851	382	6	ω1√	ω1√	VERB
ejpam-5851	382	7	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	382	8	−	−	PROPN
ejpam-5851	382	9	2abk2	2abk2	NUM
ejpam-5851	382	10	,	,	PUNCT
ejpam-5851	382	11	v3	v3	PROPN
ejpam-5851	382	12	=	=	PROPN
ejpam-5851	382	13	√	√	PROPN
ejpam-5851	382	14	−abθ2	−abθ2	NOUN
ejpam-5851	382	15	+	+	CCONJ
ejpam-5851	382	16	2aθ	2aθ	NOUN
ejpam-5851	383	1	+	+	CCONJ
ejpam-5851	383	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	383	3	−	−	PROPN
ejpam-5851	383	4	2bθω1	2bθω1	NUM
ejpam-5851	383	5	+	+	CCONJ
ejpam-5851	383	6	ω1√	ω1√	VERB
ejpam-5851	383	7	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	383	8	−	−	PROPN
ejpam-5851	383	9	2abk2	2abk2	NUM
ejpam-5851	383	10	,	,	PUNCT
ejpam-5851	383	11	v7	v7	NOUN
ejpam-5851	383	12	=	=	SYM
ejpam-5851	383	13	√	√	NOUN
ejpam-5851	383	14	−abθ2	−abθ2	NOUN
ejpam-5851	383	15	+	+	CCONJ
ejpam-5851	383	16	2aθ	2aθ	NOUN
ejpam-5851	384	1	+	+	CCONJ
ejpam-5851	384	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	384	3	−	−	PROPN
ejpam-5851	384	4	2bθω1	2bθω1	NUM
ejpam-5851	384	5	+	+	CCONJ
ejpam-5851	384	6	ω1√	ω1√	VERB
ejpam-5851	384	7	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	384	8	−	−	PROPN
ejpam-5851	384	9	2abk2	2abk2	NUM
ejpam-5851	384	10	,	,	PUNCT
ejpam-5851	384	11	v9	v9	PROPN
ejpam-5851	384	12	=	=	SYM
ejpam-5851	384	13	0	0	NUM
ejpam-5851	384	14	,	,	PUNCT
ejpam-5851	384	15	r	r	NOUN
ejpam-5851	384	16	=	=	PUNCT
ejpam-5851	384	17	i	i	PRON
ejpam-5851	384	18	√	√	VERB
ejpam-5851	384	19	c	c	VERB
ejpam-5851	384	20	√	√	PROPN
ejpam-5851	384	21	d	d	INTJ
ejpam-5851	384	22	.	.	PUNCT
ejpam-5851	385	1	b.	b.	PROPN
ejpam-5851	385	2	ceesay	ceesay	PROPN
ejpam-5851	385	3	et	et	PROPN
ejpam-5851	385	4	al	al	PROPN
ejpam-5851	385	5	.	.	PUNCT
ejpam-5851	385	6	/	/	SYM
ejpam-5851	385	7	eur	eur	PROPN
ejpam-5851	385	8	.	.	PUNCT
ejpam-5851	386	1	j.	j.	PROPN
ejpam-5851	386	2	pure	pure	PROPN
ejpam-5851	386	3	appl	appl	PROPN
ejpam-5851	386	4	.	.	PROPN
ejpam-5851	386	5	math	math	PROPN
ejpam-5851	386	6	,	,	PUNCT
ejpam-5851	386	7	18	18	NUM
ejpam-5851	386	8	(	(	PUNCT
ejpam-5851	386	9	2	2	NUM
ejpam-5851	386	10	)	)	PUNCT
ejpam-5851	386	11	(	(	PUNCT
ejpam-5851	386	12	2025	2025	NUM
ejpam-5851	386	13	)	)	PUNCT
ejpam-5851	386	14	,	,	PUNCT
ejpam-5851	386	15	5851	5851	NUM
ejpam-5851	386	16	16	16	NUM
ejpam-5851	386	17	of	of	ADP
ejpam-5851	386	18	32	32	NUM
ejpam-5851	386	19	(	(	PUNCT
ejpam-5851	386	20	a	a	NOUN
ejpam-5851	386	21	)	)	PUNCT
ejpam-5851	386	22	(	(	PUNCT
ejpam-5851	386	23	b	b	X
ejpam-5851	386	24	)	)	PUNCT
ejpam-5851	386	25	(	(	PUNCT
ejpam-5851	386	26	c	c	X
ejpam-5851	386	27	)	)	PUNCT
ejpam-5851	386	28	figure	figure	NOUN
ejpam-5851	386	29	11	11	NUM
ejpam-5851	386	30	:	:	PUNCT
ejpam-5851	386	31	(	(	PUNCT
ejpam-5851	386	32	a	a	X
ejpam-5851	386	33	)	)	PUNCT
ejpam-5851	386	34	three	three	NUM
ejpam-5851	386	35	-	-	PUNCT
ejpam-5851	386	36	dimensional	dimensional	ADJ
ejpam-5851	386	37	plot	plot	NOUN
ejpam-5851	386	38	,	,	PUNCT
ejpam-5851	386	39	(	(	PUNCT
ejpam-5851	386	40	b	b	X
ejpam-5851	386	41	)	)	PUNCT
ejpam-5851	386	42	contour	contour	NOUN
ejpam-5851	386	43	plot	plot	NOUN
ejpam-5851	386	44	and	and	CCONJ
ejpam-5851	386	45	(	(	PUNCT
ejpam-5851	386	46	c	c	NOUN
ejpam-5851	386	47	)	)	PUNCT
ejpam-5851	386	48	density	density	NOUN
ejpam-5851	386	49	plot	plot	NOUN
ejpam-5851	386	50	corresponding	correspond	VERB
ejpam-5851	386	51	to	to	ADP
ejpam-5851	386	52	the	the	DET
ejpam-5851	386	53	function	function	NOUN
ejpam-5851	386	54	g1pck	g1pck	NOUN
ejpam-5851	386	55	versus	versus	ADP
ejpam-5851	386	56	x	x	PUNCT
ejpam-5851	386	57	and	and	CCONJ
ejpam-5851	386	58	t.	t.	NOUN
ejpam-5851	386	59	we	we	PRON
ejpam-5851	386	60	used	use	VERB
ejpam-5851	386	61	the	the	DET
ejpam-5851	386	62	parameters	parameter	NOUN
ejpam-5851	387	1	v2	v2	PROPN
ejpam-5851	387	2	=	=	SYM
ejpam-5851	387	3	0.4	0.4	NUM
ejpam-5851	387	4	,	,	PUNCT
ejpam-5851	387	5	v4	v4	NOUN
ejpam-5851	387	6	=	=	NUM
ejpam-5851	387	7	0.8	0.8	NUM
ejpam-5851	387	8	,	,	PUNCT
ejpam-5851	387	9	v6	v6	NOUN
ejpam-5851	387	10	=	=	NOUN
ejpam-5851	387	11	2.3	2.3	NUM
ejpam-5851	387	12	,	,	PUNCT
ejpam-5851	387	13	j1	j1	PROPN
ejpam-5851	387	14	=	=	SYM
ejpam-5851	387	15	9.1	9.1	NUM
ejpam-5851	387	16	,	,	PUNCT
ejpam-5851	387	17	j2	j2	PROPN
ejpam-5851	387	18	=	=	SYM
ejpam-5851	387	19	5.9	5.9	NUM
ejpam-5851	387	20	,	,	PUNCT
ejpam-5851	387	21	j4	j4	PROPN
ejpam-5851	387	22	=	=	SYM
ejpam-5851	387	23	1.2	1.2	NUM
ejpam-5851	387	24	,	,	PUNCT
ejpam-5851	387	25	a	a	DET
ejpam-5851	387	26	=	=	SYM
ejpam-5851	387	27	9.1	9.1	NUM
ejpam-5851	387	28	,	,	PUNCT
ejpam-5851	387	29	b	b	NOUN
ejpam-5851	387	30	=	=	SYM
ejpam-5851	387	31	5.0	5.0	NUM
ejpam-5851	387	32	,	,	PUNCT
ejpam-5851	387	33	c	c	NOUN
ejpam-5851	387	34	=	=	SYM
ejpam-5851	387	35	3.5	3.5	NUM
ejpam-5851	387	36	,	,	PUNCT
ejpam-5851	387	37	d	d	NOUN
ejpam-5851	387	38	=	=	SYM
ejpam-5851	387	39	1	1	NUM
ejpam-5851	387	40	,	,	PUNCT
ejpam-5851	387	41	k	k	NOUN
ejpam-5851	387	42	=	=	SYM
ejpam-5851	387	43	1.1	1.1	NUM
ejpam-5851	387	44	,	,	PUNCT
ejpam-5851	387	45	ω1	ω1	PROPN
ejpam-5851	387	46	=	=	SYM
ejpam-5851	387	47	0.99	0.99	NUM
ejpam-5851	387	48	and	and	CCONJ
ejpam-5851	387	49	θ	θ	NOUN
ejpam-5851	387	50	=	=	SYM
ejpam-5851	387	51	0.33	0.33	NUM
ejpam-5851	387	52	.	.	PUNCT
ejpam-5851	388	1	(	(	PUNCT
ejpam-5851	388	2	a	a	X
ejpam-5851	388	3	)	)	PUNCT
ejpam-5851	388	4	(	(	PUNCT
ejpam-5851	388	5	b	b	X
ejpam-5851	388	6	)	)	PUNCT
ejpam-5851	388	7	(	(	PUNCT
ejpam-5851	388	8	c	c	X
ejpam-5851	388	9	)	)	PUNCT
ejpam-5851	388	10	figure	figure	NOUN
ejpam-5851	388	11	12	12	NUM
ejpam-5851	388	12	:	:	PUNCT
ejpam-5851	388	13	(	(	PUNCT
ejpam-5851	388	14	a	a	X
ejpam-5851	388	15	)	)	PUNCT
ejpam-5851	388	16	three	three	NUM
ejpam-5851	388	17	-	-	PUNCT
ejpam-5851	388	18	dimensional	dimensional	ADJ
ejpam-5851	388	19	plot	plot	NOUN
ejpam-5851	388	20	,	,	PUNCT
ejpam-5851	388	21	(	(	PUNCT
ejpam-5851	388	22	b	b	X
ejpam-5851	388	23	)	)	PUNCT
ejpam-5851	388	24	contour	contour	NOUN
ejpam-5851	388	25	plot	plot	NOUN
ejpam-5851	388	26	and	and	CCONJ
ejpam-5851	388	27	(	(	PUNCT
ejpam-5851	388	28	c	c	NOUN
ejpam-5851	388	29	)	)	PUNCT
ejpam-5851	388	30	density	density	NOUN
ejpam-5851	388	31	plot	plot	NOUN
ejpam-5851	388	32	corresponding	correspond	VERB
ejpam-5851	388	33	to	to	ADP
ejpam-5851	388	34	the	the	DET
ejpam-5851	388	35	function	function	NOUN
ejpam-5851	388	36	h1pck	h1pck	PROPN
ejpam-5851	388	37	versus	versus	ADP
ejpam-5851	388	38	x	x	PUNCT
ejpam-5851	388	39	and	and	CCONJ
ejpam-5851	388	40	t.	t.	NOUN
ejpam-5851	388	41	we	we	PRON
ejpam-5851	388	42	used	use	VERB
ejpam-5851	388	43	the	the	DET
ejpam-5851	388	44	parameters	parameter	NOUN
ejpam-5851	389	1	v2	v2	PROPN
ejpam-5851	389	2	=	=	SYM
ejpam-5851	389	3	0.4	0.4	NUM
ejpam-5851	389	4	,	,	PUNCT
ejpam-5851	389	5	v4	v4	NOUN
ejpam-5851	389	6	=	=	NUM
ejpam-5851	389	7	0.8	0.8	NUM
ejpam-5851	389	8	,	,	PUNCT
ejpam-5851	389	9	v6	v6	NOUN
ejpam-5851	389	10	=	=	NOUN
ejpam-5851	389	11	2.3	2.3	NUM
ejpam-5851	389	12	,	,	PUNCT
ejpam-5851	389	13	j1	j1	PROPN
ejpam-5851	389	14	=	=	SYM
ejpam-5851	389	15	9.1	9.1	NUM
ejpam-5851	389	16	,	,	PUNCT
ejpam-5851	389	17	j2	j2	PROPN
ejpam-5851	389	18	=	=	SYM
ejpam-5851	389	19	5.9	5.9	NUM
ejpam-5851	389	20	,	,	PUNCT
ejpam-5851	389	21	j4	j4	PROPN
ejpam-5851	389	22	=	=	SYM
ejpam-5851	389	23	1.2	1.2	NUM
ejpam-5851	389	24	,	,	PUNCT
ejpam-5851	389	25	a	a	DET
ejpam-5851	389	26	=	=	SYM
ejpam-5851	389	27	9.1	9.1	NUM
ejpam-5851	389	28	,	,	PUNCT
ejpam-5851	389	29	b	b	NOUN
ejpam-5851	389	30	=	=	SYM
ejpam-5851	389	31	5.0	5.0	NUM
ejpam-5851	389	32	,	,	PUNCT
ejpam-5851	389	33	c	c	NOUN
ejpam-5851	389	34	=	=	SYM
ejpam-5851	389	35	3.5	3.5	NUM
ejpam-5851	389	36	,	,	PUNCT
ejpam-5851	389	37	d	d	NOUN
ejpam-5851	389	38	=	=	SYM
ejpam-5851	389	39	1	1	NUM
ejpam-5851	389	40	,	,	PUNCT
ejpam-5851	389	41	k	k	NOUN
ejpam-5851	389	42	=	=	SYM
ejpam-5851	389	43	1.1	1.1	NUM
ejpam-5851	389	44	,	,	PUNCT
ejpam-5851	389	45	ω1	ω1	PROPN
ejpam-5851	389	46	=	=	SYM
ejpam-5851	389	47	0.99	0.99	NUM
ejpam-5851	389	48	and	and	CCONJ
ejpam-5851	389	49	θ	θ	NOUN
ejpam-5851	389	50	=	=	SYM
ejpam-5851	389	51	0.33	0.33	NUM
ejpam-5851	389	52	.	.	PUNCT
ejpam-5851	390	1	substituting	substitute	VERB
ejpam-5851	390	2	these	these	DET
ejpam-5851	390	3	values	value	NOUN
ejpam-5851	390	4	into	into	ADP
ejpam-5851	390	5	equation	equation	NOUN
ejpam-5851	390	6	(	(	PUNCT
ejpam-5851	390	7	41	41	NUM
ejpam-5851	390	8	)	)	PUNCT
ejpam-5851	390	9	and	and	CCONJ
ejpam-5851	390	10	then	then	ADV
ejpam-5851	390	11	the	the	DET
ejpam-5851	390	12	result	result	NOUN
ejpam-5851	390	13	into	into	ADP
ejpam-5851	390	14	equation	equation	NOUN
ejpam-5851	390	15	(	(	PUNCT
ejpam-5851	390	16	12	12	NUM
ejpam-5851	390	17	)	)	PUNCT
ejpam-5851	390	18	,	,	PUNCT
ejpam-5851	390	19	we	we	PRON
ejpam-5851	390	20	have	have	VERB
ejpam-5851	390	21	λ2pck(σ	λ2pck(σ	NOUN
ejpam-5851	390	22	)	)	PUNCT
ejpam-5851	390	23	=	=	SYM
ejpam-5851	391	1	ik	ik	PROPN
ejpam-5851	391	2	(	(	PUNCT
ejpam-5851	391	3	j1	j1	PROPN
ejpam-5851	391	4	exp	exp	PROPN
ejpam-5851	391	5	(	(	PUNCT
ejpam-5851	391	6	k	k	X
ejpam-5851	391	7	(	(	PUNCT
ejpam-5851	391	8	σ	σ	PROPN
ejpam-5851	391	9	√	√	PROPN
ejpam-5851	391	10	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	391	11	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	391	12	)	)	PUNCT
ejpam-5851	391	13	+	+	CCONJ
ejpam-5851	391	14	v2	v2	NOUN
ejpam-5851	391	15	+	+	CCONJ
ejpam-5851	391	16	v4	v4	NOUN
ejpam-5851	391	17	)	)	PUNCT
ejpam-5851	391	18	)	)	PUNCT
ejpam-5851	392	1	+	+	NOUN
ejpam-5851	392	2	a14	a14	NOUN
ejpam-5851	392	3	−	−	NOUN
ejpam-5851	392	4	1	1	NUM
ejpam-5851	392	5	)	)	PUNCT
ejpam-5851	392	6	√	√	ADV
ejpam-5851	392	7	2	2	NUM
ejpam-5851	392	8	√	√	NUM
ejpam-5851	392	9	c	c	NOUN
ejpam-5851	392	10	√	√	PROPN
ejpam-5851	392	11	d	d	PROPN
ejpam-5851	392	12	(	(	PUNCT
ejpam-5851	392	13	j1	j1	PROPN
ejpam-5851	392	14	exp	exp	PROPN
ejpam-5851	392	15	(	(	PUNCT
ejpam-5851	392	16	k	k	X
ejpam-5851	392	17	(	(	PUNCT
ejpam-5851	392	18	σ	σ	PROPN
ejpam-5851	392	19	√	√	PROPN
ejpam-5851	392	20	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	392	21	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	392	22	)	)	PUNCT
ejpam-5851	392	23	+	+	CCONJ
ejpam-5851	392	24	v2	v2	NOUN
ejpam-5851	392	25	+	+	CCONJ
ejpam-5851	392	26	v4	v4	NOUN
ejpam-5851	392	27	)	)	PUNCT
ejpam-5851	392	28	)	)	PUNCT
ejpam-5851	393	1	+	+	ADV
ejpam-5851	393	2	a15	a15	NOUN
ejpam-5851	393	3	+	+	CCONJ
ejpam-5851	393	4	1	1	NUM
ejpam-5851	393	5	)	)	PUNCT
ejpam-5851	393	6	.	.	PUNCT
ejpam-5851	394	1	(	(	PUNCT
ejpam-5851	394	2	51	51	NUM
ejpam-5851	394	3	)	)	PUNCT
ejpam-5851	394	4	after	after	ADP
ejpam-5851	394	5	substituting	substitute	VERB
ejpam-5851	394	6	equation	equation	NOUN
ejpam-5851	394	7	(	(	PUNCT
ejpam-5851	394	8	51	51	NUM
ejpam-5851	394	9	)	)	PUNCT
ejpam-5851	394	10	into	into	ADP
ejpam-5851	394	11	equation	equation	NOUN
ejpam-5851	394	12	(	(	PUNCT
ejpam-5851	394	13	10	10	NUM
ejpam-5851	394	14	)	)	PUNCT
ejpam-5851	394	15	,	,	PUNCT
ejpam-5851	394	16	we	we	PRON
ejpam-5851	394	17	obtain	obtain	VERB
ejpam-5851	394	18	∆2pck(σ	∆2pck(σ	NOUN
ejpam-5851	394	19	)	)	PUNCT
ejpam-5851	394	20	=	=	SYM
ejpam-5851	395	1	(	(	PUNCT
ejpam-5851	395	2	j1	j1	PROPN
ejpam-5851	395	3	exp	exp	PROPN
ejpam-5851	395	4	(	(	PUNCT
ejpam-5851	395	5	k	k	X
ejpam-5851	395	6	(	(	PUNCT
ejpam-5851	395	7	σ	σ	PROPN
ejpam-5851	395	8	√	√	PROPN
ejpam-5851	395	9	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	395	10	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	395	11	)	)	PUNCT
ejpam-5851	396	1	+	+	CCONJ
ejpam-5851	396	2	v2	v2	NOUN
ejpam-5851	396	3	+	+	CCONJ
ejpam-5851	396	4	v4	v4	NOUN
ejpam-5851	396	5	)	)	PUNCT
ejpam-5851	396	6	)	)	PUNCT
ejpam-5851	397	1	+	+	NOUN
ejpam-5851	397	2	a14	a14	NOUN
ejpam-5851	397	3	−	−	NOUN
ejpam-5851	397	4	1	1	NUM
ejpam-5851	397	5	)	)	PUNCT
ejpam-5851	397	6	2	2	NUM
ejpam-5851	397	7	bc	bc	PROPN
ejpam-5851	397	8	(	(	PUNCT
ejpam-5851	397	9	j1	j1	PROPN
ejpam-5851	397	10	exp	exp	PROPN
ejpam-5851	397	11	(	(	PUNCT
ejpam-5851	397	12	k	k	X
ejpam-5851	397	13	(	(	PUNCT
ejpam-5851	397	14	σ	σ	PROPN
ejpam-5851	397	15	√	√	PROPN
ejpam-5851	397	16	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	397	17	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	397	18	)	)	PUNCT
ejpam-5851	397	19	+	+	CCONJ
ejpam-5851	397	20	v2	v2	NOUN
ejpam-5851	397	21	+	+	CCONJ
ejpam-5851	397	22	v4	v4	NOUN
ejpam-5851	397	23	)	)	PUNCT
ejpam-5851	397	24	)	)	PUNCT
ejpam-5851	398	1	+	+	ADV
ejpam-5851	398	2	a15	a15	NOUN
ejpam-5851	398	3	+	+	CCONJ
ejpam-5851	398	4	1	1	NUM
ejpam-5851	398	5	)	)	SYM
ejpam-5851	398	6	2	2	NUM
ejpam-5851	398	7	,	,	PUNCT
ejpam-5851	398	8	(	(	PUNCT
ejpam-5851	398	9	52	52	NUM
ejpam-5851	398	10	)	)	PUNCT
ejpam-5851	398	11	where	where	SCONJ
ejpam-5851	398	12	a14	a14	PROPN
ejpam-5851	398	13	=	=	SYM
ejpam-5851	398	14	j3	j3	PROPN
ejpam-5851	398	15	√	√	PROPN
ejpam-5851	398	16	aθ(2−	aθ(2−	PROPN
ejpam-5851	398	17	bθ	bθ	PROPN
ejpam-5851	398	18	)	)	PUNCT
ejpam-5851	398	19	+	+	CCONJ
ejpam-5851	398	20	ω1(bθ	ω1(bθ	NUM
ejpam-5851	398	21	−	−	PROPN
ejpam-5851	398	22	1)2	1)2	NUM
ejpam-5851	398	23	exp	exp	NOUN
ejpam-5851	398	24	(	(	PUNCT
ejpam-5851	398	25	k	k	X
ejpam-5851	398	26	(	(	PUNCT
ejpam-5851	398	27	σ	σ	NOUN
ejpam-5851	398	28	√	√	PROPN
ejpam-5851	398	29	aθ(2−	aθ(2−	PROPN
ejpam-5851	398	30	bθ	bθ	PROPN
ejpam-5851	398	31	)	)	PUNCT
ejpam-5851	399	1	+	+	CCONJ
ejpam-5851	400	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	400	2	−	−	PROPN
ejpam-5851	401	1	1)2	1)2	NUM
ejpam-5851	401	2	√	√	NUM
ejpam-5851	401	3	2	2	NUM
ejpam-5851	401	4	√	√	NUM
ejpam-5851	401	5	bk2	bk2	NOUN
ejpam-5851	401	6	(	(	PUNCT
ejpam-5851	401	7	bω1	bω1	NOUN
ejpam-5851	401	8	−	−	NOUN
ejpam-5851	401	9	a	a	NOUN
ejpam-5851	401	10	)	)	PUNCT
ejpam-5851	402	1	+	+	CCONJ
ejpam-5851	402	2	v2	v2	NOUN
ejpam-5851	402	3	)	)	PUNCT
ejpam-5851	402	4	)	)	PUNCT
ejpam-5851	403	1	·	·	PUNCT
ejpam-5851	403	2	sinh	sinh	NOUN
ejpam-5851	403	3	(	(	PUNCT
ejpam-5851	403	4	k	k	X
ejpam-5851	403	5	(	(	PUNCT
ejpam-5851	403	6	σ	σ	NOUN
ejpam-5851	403	7	√	√	PROPN
ejpam-5851	403	8	aθ(2−	aθ(2−	PROPN
ejpam-5851	403	9	bθ	bθ	PROPN
ejpam-5851	403	10	)	)	PUNCT
ejpam-5851	404	1	+	+	CCONJ
ejpam-5851	405	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	405	2	−	−	PROPN
ejpam-5851	406	1	1)2	1)2	NUM
ejpam-5851	406	2	√	√	NUM
ejpam-5851	406	3	2	2	NUM
ejpam-5851	406	4	√	√	NUM
ejpam-5851	406	5	bk2	bk2	NOUN
ejpam-5851	406	6	(	(	PUNCT
ejpam-5851	406	7	bω1	bω1	NOUN
ejpam-5851	406	8	−	−	NOUN
ejpam-5851	406	9	a	a	NOUN
ejpam-5851	406	10	)	)	PUNCT
ejpam-5851	407	1	+	+	NUM
ejpam-5851	407	2	v8	v8	NOUN
ejpam-5851	407	3	)	)	PUNCT
ejpam-5851	407	4	)	)	PUNCT
ejpam-5851	408	1	(	(	PUNCT
ejpam-5851	408	2	53	53	NUM
ejpam-5851	408	3	)	)	PUNCT
ejpam-5851	408	4	b.	b.	PROPN
ejpam-5851	408	5	ceesay	ceesay	PROPN
ejpam-5851	408	6	et	et	PROPN
ejpam-5851	408	7	al	al	PROPN
ejpam-5851	408	8	.	.	PUNCT
ejpam-5851	408	9	/	/	SYM
ejpam-5851	408	10	eur	eur	PROPN
ejpam-5851	408	11	.	.	PUNCT
ejpam-5851	409	1	j.	j.	PROPN
ejpam-5851	409	2	pure	pure	PROPN
ejpam-5851	409	3	appl	appl	PROPN
ejpam-5851	409	4	.	.	PROPN
ejpam-5851	409	5	math	math	PROPN
ejpam-5851	409	6	,	,	PUNCT
ejpam-5851	409	7	18	18	NUM
ejpam-5851	409	8	(	(	PUNCT
ejpam-5851	409	9	2	2	NUM
ejpam-5851	409	10	)	)	PUNCT
ejpam-5851	409	11	(	(	PUNCT
ejpam-5851	409	12	2025	2025	NUM
ejpam-5851	409	13	)	)	PUNCT
ejpam-5851	409	14	,	,	PUNCT
ejpam-5851	409	15	5851	5851	NUM
ejpam-5851	409	16	17	17	NUM
ejpam-5851	409	17	of	of	ADP
ejpam-5851	409	18	32	32	NUM
ejpam-5851	409	19	and	and	CCONJ
ejpam-5851	409	20	a15	a15	NOUN
ejpam-5851	409	21	=	=	SYM
ejpam-5851	409	22	j3	j3	PROPN
ejpam-5851	409	23	√	√	PROPN
ejpam-5851	409	24	bk2	bk2	NOUN
ejpam-5851	409	25	(	(	PUNCT
ejpam-5851	409	26	bω1	bω1	NOUN
ejpam-5851	409	27	−	−	PROPN
ejpam-5851	409	28	a	a	NOUN
ejpam-5851	409	29	)	)	PUNCT
ejpam-5851	409	30	exp	exp	NOUN
ejpam-5851	409	31	(	(	PUNCT
ejpam-5851	409	32	k	k	X
ejpam-5851	409	33	(	(	PUNCT
ejpam-5851	409	34	σ	σ	NOUN
ejpam-5851	409	35	√	√	PROPN
ejpam-5851	409	36	aθ(2−	aθ(2−	PROPN
ejpam-5851	409	37	bθ	bθ	PROPN
ejpam-5851	409	38	)	)	PUNCT
ejpam-5851	410	1	+	+	CCONJ
ejpam-5851	411	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	411	2	−	−	PROPN
ejpam-5851	412	1	1)2	1)2	NUM
ejpam-5851	412	2	√	√	NUM
ejpam-5851	412	3	2	2	NUM
ejpam-5851	412	4	√	√	NUM
ejpam-5851	412	5	bk2	bk2	NOUN
ejpam-5851	412	6	(	(	PUNCT
ejpam-5851	412	7	bω1	bω1	NOUN
ejpam-5851	412	8	−	−	NOUN
ejpam-5851	412	9	a	a	NOUN
ejpam-5851	412	10	)	)	PUNCT
ejpam-5851	413	1	+	+	CCONJ
ejpam-5851	413	2	v2	v2	NOUN
ejpam-5851	413	3	)	)	PUNCT
ejpam-5851	413	4	)	)	PUNCT
ejpam-5851	413	5	·	·	PUNCT
ejpam-5851	414	1	cosh	cosh	NOUN
ejpam-5851	414	2	(	(	PUNCT
ejpam-5851	414	3	k	k	X
ejpam-5851	414	4	(	(	PUNCT
ejpam-5851	414	5	σ	σ	NOUN
ejpam-5851	414	6	√	√	PROPN
ejpam-5851	414	7	aθ(2−	aθ(2−	PROPN
ejpam-5851	414	8	bθ	bθ	PROPN
ejpam-5851	414	9	)	)	PUNCT
ejpam-5851	414	10	+	+	CCONJ
ejpam-5851	414	11	ω1(bθ	ω1(bθ	NUM
ejpam-5851	414	12	−	−	PROPN
ejpam-5851	414	13	1)2	1)2	NUM
ejpam-5851	414	14	√	√	NUM
ejpam-5851	414	15	2	2	NUM
ejpam-5851	414	16	√	√	NUM
ejpam-5851	414	17	bk2	bk2	NOUN
ejpam-5851	414	18	(	(	PUNCT
ejpam-5851	414	19	bω1	bω1	NOUN
ejpam-5851	414	20	−	−	NOUN
ejpam-5851	414	21	a	a	NOUN
ejpam-5851	414	22	)	)	PUNCT
ejpam-5851	414	23	+	+	NUM
ejpam-5851	414	24	v8	v8	NOUN
ejpam-5851	414	25	)	)	PUNCT
ejpam-5851	414	26	)	)	PUNCT
ejpam-5851	414	27	.	.	PUNCT
ejpam-5851	415	1	(	(	PUNCT
ejpam-5851	415	2	54	54	NUM
ejpam-5851	415	3	)	)	PUNCT
ejpam-5851	415	4	substituting	substitute	VERB
ejpam-5851	415	5	equations	equation	NOUN
ejpam-5851	415	6	(	(	PUNCT
ejpam-5851	415	7	51	51	NUM
ejpam-5851	415	8	)	)	PUNCT
ejpam-5851	415	9	and	and	CCONJ
ejpam-5851	415	10	(	(	PUNCT
ejpam-5851	415	11	52	52	NUM
ejpam-5851	415	12	)	)	PUNCT
ejpam-5851	415	13	into	into	ADP
ejpam-5851	415	14	equation	equation	NOUN
ejpam-5851	415	15	(	(	PUNCT
ejpam-5851	415	16	5	5	X
ejpam-5851	415	17	)	)	PUNCT
ejpam-5851	415	18	gives	give	VERB
ejpam-5851	415	19	a	a	DET
ejpam-5851	415	20	pck	pck	NOUN
ejpam-5851	415	21	wave	wave	NOUN
ejpam-5851	415	22	solution	solution	NOUN
ejpam-5851	415	23	for	for	ADP
ejpam-5851	415	24	equation	equation	NOUN
ejpam-5851	415	25	(	(	PUNCT
ejpam-5851	415	26	1	1	NUM
ejpam-5851	415	27	)	)	PUNCT
ejpam-5851	415	28	as	as	ADP
ejpam-5851	415	29	g2pck(x	g2pck(x	PROPN
ejpam-5851	415	30	,	,	PUNCT
ejpam-5851	415	31	t	t	PROPN
ejpam-5851	415	32	)	)	PUNCT
ejpam-5851	416	1	=	=	SYM
ejpam-5851	416	2	ik	ik	X
ejpam-5851	416	3	exp	exp	PROPN
ejpam-5851	416	4	(	(	PUNCT
ejpam-5851	416	5	i(θ(2at−bx)+ω1(t−bθt	i(θ(2at−bx)+ω1(t−bθt	PROPN
ejpam-5851	416	6	)	)	PUNCT
ejpam-5851	416	7	)	)	PUNCT
ejpam-5851	416	8	b	b	X
ejpam-5851	416	9	)	)	PUNCT
ejpam-5851	416	10	(	(	PUNCT
ejpam-5851	416	11	j1	j1	PROPN
ejpam-5851	416	12	exp	exp	PROPN
ejpam-5851	416	13	(	(	PUNCT
ejpam-5851	416	14	k	k	X
ejpam-5851	416	15	(	(	PUNCT
ejpam-5851	416	16	(	(	PUNCT
ejpam-5851	416	17	x−tω1	x−tω1	X
ejpam-5851	416	18	)	)	PUNCT
ejpam-5851	416	19	√	√	ADP
ejpam-5851	416	20	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	416	21	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	416	22	)	)	PUNCT
ejpam-5851	416	23	+	+	NOUN
ejpam-5851	416	24	v2+v4	v2+v4	NOUN
ejpam-5851	416	25	)	)	PUNCT
ejpam-5851	416	26	)	)	PUNCT
ejpam-5851	417	1	+	+	VERB
ejpam-5851	417	2	a16−1	a16−1	NOUN
ejpam-5851	417	3	)	)	PUNCT
ejpam-5851	417	4	√	√	ADV
ejpam-5851	417	5	2	2	NUM
ejpam-5851	417	6	√	√	NUM
ejpam-5851	417	7	c	c	NOUN
ejpam-5851	417	8	√	√	PROPN
ejpam-5851	417	9	d	d	PROPN
ejpam-5851	417	10	(	(	PUNCT
ejpam-5851	417	11	j1	j1	PROPN
ejpam-5851	417	12	exp	exp	PROPN
ejpam-5851	417	13	(	(	PUNCT
ejpam-5851	417	14	k	k	X
ejpam-5851	417	15	(	(	PUNCT
ejpam-5851	417	16	(	(	PUNCT
ejpam-5851	417	17	x−tω1	x−tω1	X
ejpam-5851	417	18	)	)	PUNCT
ejpam-5851	417	19	√	√	ADP
ejpam-5851	417	20	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	417	21	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	417	22	)	)	PUNCT
ejpam-5851	417	23	+	+	NOUN
ejpam-5851	417	24	v2+v4	v2+v4	NOUN
ejpam-5851	417	25	)	)	PUNCT
ejpam-5851	417	26	)	)	PUNCT
ejpam-5851	418	1	+	+	VERB
ejpam-5851	418	2	a17	a17	NOUN
ejpam-5851	418	3	+	+	NOUN
ejpam-5851	418	4	1	1	NUM
ejpam-5851	418	5	)	)	PUNCT
ejpam-5851	418	6	,	,	PUNCT
ejpam-5851	418	7	(	(	PUNCT
ejpam-5851	418	8	55	55	NUM
ejpam-5851	418	9	)	)	PUNCT
ejpam-5851	418	10	h2pck(x	h2pck(x	PROPN
ejpam-5851	418	11	,	,	PUNCT
ejpam-5851	418	12	t	t	PROPN
ejpam-5851	418	13	)	)	PUNCT
ejpam-5851	418	14	=	=	PUNCT
ejpam-5851	418	15	(	(	PUNCT
ejpam-5851	418	16	j1	j1	PROPN
ejpam-5851	418	17	exp	exp	PROPN
ejpam-5851	418	18	(	(	PUNCT
ejpam-5851	418	19	k	k	X
ejpam-5851	418	20	(	(	PUNCT
ejpam-5851	418	21	(	(	PUNCT
ejpam-5851	418	22	x−tω1	x−tω1	X
ejpam-5851	418	23	)	)	PUNCT
ejpam-5851	418	24	√	√	ADP
ejpam-5851	418	25	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	418	26	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	418	27	)	)	PUNCT
ejpam-5851	418	28	+	+	NOUN
ejpam-5851	418	29	v2+v4	v2+v4	NOUN
ejpam-5851	418	30	)	)	PUNCT
ejpam-5851	418	31	)	)	PUNCT
ejpam-5851	419	1	+	+	VERB
ejpam-5851	419	2	a16−1	a16−1	NOUN
ejpam-5851	419	3	)	)	PUNCT
ejpam-5851	419	4	2	2	NUM
ejpam-5851	419	5	bc	bc	PROPN
ejpam-5851	419	6	(	(	PUNCT
ejpam-5851	419	7	j1	j1	PROPN
ejpam-5851	419	8	exp	exp	PROPN
ejpam-5851	419	9	(	(	PUNCT
ejpam-5851	419	10	k	k	X
ejpam-5851	419	11	(	(	PUNCT
ejpam-5851	419	12	(	(	PUNCT
ejpam-5851	419	13	x−tω1	x−tω1	X
ejpam-5851	419	14	)	)	PUNCT
ejpam-5851	419	15	√	√	ADP
ejpam-5851	419	16	2ω1(bθ−1)2−2aθ(bθ−2)√	2ω1(bθ−1)2−2aθ(bθ−2)√	NUM
ejpam-5851	419	17	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	419	18	)	)	PUNCT
ejpam-5851	419	19	+	+	NOUN
ejpam-5851	419	20	v2+v4	v2+v4	NOUN
ejpam-5851	419	21	)	)	PUNCT
ejpam-5851	419	22	)	)	PUNCT
ejpam-5851	420	1	+	+	VERB
ejpam-5851	420	2	a17	a17	NOUN
ejpam-5851	420	3	+	+	NOUN
ejpam-5851	420	4	1	1	NUM
ejpam-5851	420	5	)	)	PUNCT
ejpam-5851	420	6	2	2	NUM
ejpam-5851	420	7	,	,	PUNCT
ejpam-5851	420	8	(	(	PUNCT
ejpam-5851	420	9	56	56	NUM
ejpam-5851	420	10	)	)	PUNCT
ejpam-5851	420	11	where	where	SCONJ
ejpam-5851	420	12	a16	a16	PROPN
ejpam-5851	420	13	=	=	PROPN
ejpam-5851	420	14	j3	j3	PROPN
ejpam-5851	420	15	exp	exp	PROPN
ejpam-5851	420	16	(	(	PUNCT
ejpam-5851	420	17	k	k	X
ejpam-5851	420	18	(	(	PUNCT
ejpam-5851	420	19	(	(	PUNCT
ejpam-5851	420	20	x−	x−	PROPN
ejpam-5851	420	21	tω1	tω1	PROPN
ejpam-5851	420	22	)	)	PUNCT
ejpam-5851	420	23	√	√	PROPN
ejpam-5851	420	24	aθ(2−	aθ(2−	PROPN
ejpam-5851	420	25	bθ	bθ	PROPN
ejpam-5851	420	26	)	)	PUNCT
ejpam-5851	420	27	+	+	CCONJ
ejpam-5851	420	28	ω1(bθ	ω1(bθ	NUM
ejpam-5851	420	29	−	−	PROPN
ejpam-5851	420	30	1)2	1)2	NUM
ejpam-5851	420	31	√	√	NUM
ejpam-5851	420	32	2	2	NUM
ejpam-5851	420	33	√	√	NUM
ejpam-5851	420	34	bk2	bk2	NOUN
ejpam-5851	420	35	(	(	PUNCT
ejpam-5851	420	36	bω1	bω1	NOUN
ejpam-5851	420	37	−	−	NOUN
ejpam-5851	420	38	a	a	NOUN
ejpam-5851	420	39	)	)	PUNCT
ejpam-5851	420	40	+	+	CCONJ
ejpam-5851	420	41	v2	v2	NOUN
ejpam-5851	420	42	)	)	PUNCT
ejpam-5851	420	43	)	)	PUNCT
ejpam-5851	420	44	·	·	PUNCT
ejpam-5851	420	45	sinh	sinh	NOUN
ejpam-5851	420	46	(	(	PUNCT
ejpam-5851	420	47	k	k	X
ejpam-5851	420	48	(	(	PUNCT
ejpam-5851	420	49	(	(	PUNCT
ejpam-5851	420	50	x−	x−	PROPN
ejpam-5851	420	51	tω1	tω1	PROPN
ejpam-5851	420	52	)	)	PUNCT
ejpam-5851	420	53	√	√	PROPN
ejpam-5851	420	54	aθ(2−	aθ(2−	PROPN
ejpam-5851	420	55	bθ	bθ	PROPN
ejpam-5851	420	56	)	)	PUNCT
ejpam-5851	421	1	+	+	CCONJ
ejpam-5851	422	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	422	2	−	−	PROPN
ejpam-5851	423	1	1)2	1)2	NUM
ejpam-5851	423	2	√	√	NUM
ejpam-5851	423	3	2	2	NUM
ejpam-5851	423	4	√	√	NUM
ejpam-5851	423	5	bk2	bk2	NOUN
ejpam-5851	423	6	(	(	PUNCT
ejpam-5851	423	7	bω1	bω1	NOUN
ejpam-5851	423	8	−	−	NOUN
ejpam-5851	423	9	a	a	NOUN
ejpam-5851	423	10	)	)	PUNCT
ejpam-5851	424	1	+	+	NUM
ejpam-5851	424	2	v8	v8	NOUN
ejpam-5851	424	3	)	)	PUNCT
ejpam-5851	424	4	)	)	PUNCT
ejpam-5851	425	1	√	√	PROPN
ejpam-5851	425	2	aθ(2−	aθ(2−	PROPN
ejpam-5851	425	3	bθ	bθ	PROPN
ejpam-5851	425	4	)	)	PUNCT
ejpam-5851	426	1	+	+	CCONJ
ejpam-5851	426	2	ω1(bθ	ω1(bθ	NUM
ejpam-5851	426	3	−	−	PROPN
ejpam-5851	426	4	1)2	1)2	NUM
ejpam-5851	426	5	(	(	PUNCT
ejpam-5851	426	6	57	57	NUM
ejpam-5851	426	7	)	)	PUNCT
ejpam-5851	426	8	and	and	CCONJ
ejpam-5851	426	9	a17	a17	PROPN
ejpam-5851	426	10	=	=	SYM
ejpam-5851	426	11	j3	j3	PROPN
ejpam-5851	426	12	exp	exp	PROPN
ejpam-5851	426	13	(	(	PUNCT
ejpam-5851	426	14	k	k	X
ejpam-5851	426	15	(	(	PUNCT
ejpam-5851	426	16	(	(	PUNCT
ejpam-5851	426	17	x−	x−	PROPN
ejpam-5851	426	18	tω1	tω1	PROPN
ejpam-5851	426	19	)	)	PUNCT
ejpam-5851	426	20	√	√	PROPN
ejpam-5851	426	21	aθ(2−	aθ(2−	PROPN
ejpam-5851	426	22	bθ	bθ	PROPN
ejpam-5851	426	23	)	)	PUNCT
ejpam-5851	426	24	+	+	CCONJ
ejpam-5851	427	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	427	2	−	−	PROPN
ejpam-5851	428	1	1)2	1)2	NUM
ejpam-5851	428	2	√	√	NUM
ejpam-5851	428	3	2	2	NUM
ejpam-5851	428	4	√	√	NUM
ejpam-5851	428	5	bk2	bk2	NOUN
ejpam-5851	428	6	(	(	PUNCT
ejpam-5851	428	7	bω1	bω1	NOUN
ejpam-5851	428	8	−	−	NOUN
ejpam-5851	428	9	a	a	NOUN
ejpam-5851	428	10	)	)	PUNCT
ejpam-5851	429	1	+	+	CCONJ
ejpam-5851	429	2	v2	v2	NOUN
ejpam-5851	429	3	)	)	PUNCT
ejpam-5851	429	4	)	)	PUNCT
ejpam-5851	429	5	·	·	PUNCT
ejpam-5851	430	1	cosh	cosh	NOUN
ejpam-5851	430	2	(	(	PUNCT
ejpam-5851	430	3	k	k	X
ejpam-5851	430	4	(	(	PUNCT
ejpam-5851	430	5	(	(	PUNCT
ejpam-5851	430	6	x−	x−	PROPN
ejpam-5851	430	7	tω1	tω1	PROPN
ejpam-5851	430	8	)	)	PUNCT
ejpam-5851	430	9	√	√	PROPN
ejpam-5851	431	1	aθ(2−	aθ(2−	PROPN
ejpam-5851	431	2	bθ	bθ	PROPN
ejpam-5851	431	3	)	)	PUNCT
ejpam-5851	432	1	+	+	CCONJ
ejpam-5851	433	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	433	2	−	−	PROPN
ejpam-5851	434	1	1)2	1)2	NUM
ejpam-5851	434	2	√	√	NUM
ejpam-5851	434	3	2	2	NUM
ejpam-5851	434	4	√	√	NUM
ejpam-5851	434	5	bk2	bk2	NOUN
ejpam-5851	434	6	(	(	PUNCT
ejpam-5851	434	7	bω1	bω1	NOUN
ejpam-5851	434	8	−	−	NOUN
ejpam-5851	434	9	a	a	NOUN
ejpam-5851	434	10	)	)	PUNCT
ejpam-5851	435	1	+	+	NUM
ejpam-5851	435	2	v8	v8	NOUN
ejpam-5851	435	3	)	)	PUNCT
ejpam-5851	435	4	)	)	PUNCT
ejpam-5851	435	5	)	)	PUNCT
ejpam-5851	436	1	√	√	NUM
ejpam-5851	436	2	bk2	bk2	NOUN
ejpam-5851	436	3	(	(	PUNCT
ejpam-5851	436	4	bω1	bω1	NOUN
ejpam-5851	436	5	−	−	NOUN
ejpam-5851	436	6	a	a	NOUN
ejpam-5851	436	7	)	)	PUNCT
ejpam-5851	436	8	.	.	PUNCT
ejpam-5851	437	1	(	(	PUNCT
ejpam-5851	437	2	58	58	NUM
ejpam-5851	437	3	)	)	PUNCT
ejpam-5851	437	4	for	for	ADP
ejpam-5851	437	5	illustration	illustration	NOUN
ejpam-5851	437	6	purposes	purpose	NOUN
ejpam-5851	437	7	,	,	PUNCT
ejpam-5851	437	8	figures	figure	VERB
ejpam-5851	437	9	11	11	NUM
ejpam-5851	437	10	,	,	PUNCT
ejpam-5851	437	11	12	12	NUM
ejpam-5851	437	12	,	,	PUNCT
ejpam-5851	437	13	13	13	NUM
ejpam-5851	437	14	and	and	CCONJ
ejpam-5851	437	15	14	14	NUM
ejpam-5851	437	16	show	show	VERB
ejpam-5851	437	17	some	some	PRON
ejpam-5851	437	18	of	of	ADP
ejpam-5851	437	19	these	these	DET
ejpam-5851	437	20	periodic	periodic	ADJ
ejpam-5851	437	21	cross	cross	NOUN
ejpam-5851	437	22	kink	kink	PROPN
ejpam-5851	437	23	waves	wave	NOUN
ejpam-5851	437	24	.	.	PUNCT
ejpam-5851	438	1	in	in	ADP
ejpam-5851	438	2	particular	particular	ADJ
ejpam-5851	438	3	,	,	PUNCT
ejpam-5851	438	4	figure	figure	NOUN
ejpam-5851	438	5	11	11	NUM
ejpam-5851	438	6	shows	show	VERB
ejpam-5851	438	7	the	the	DET
ejpam-5851	438	8	solution	solution	NOUN
ejpam-5851	438	9	g1pck(x	g1pck(x	PROPN
ejpam-5851	438	10	,	,	PUNCT
ejpam-5851	438	11	t	t	PROPN
ejpam-5851	438	12	)	)	PUNCT
ejpam-5851	438	13	corresponding	correspond	VERB
ejpam-5851	438	14	to	to	ADP
ejpam-5851	438	15	equation	equation	NOUN
ejpam-5851	438	16	(	(	PUNCT
ejpam-5851	438	17	46	46	NUM
ejpam-5851	438	18	)	)	PUNCT
ejpam-5851	438	19	using	use	VERB
ejpam-5851	438	20	the	the	DET
ejpam-5851	438	21	parameter	parameter	NOUN
ejpam-5851	438	22	values	value	VERB
ejpam-5851	439	1	v2	v2	PROPN
ejpam-5851	439	2	=	=	SYM
ejpam-5851	439	3	0.4	0.4	NUM
ejpam-5851	439	4	,	,	PUNCT
ejpam-5851	439	5	v4	v4	NOUN
ejpam-5851	439	6	=	=	NUM
ejpam-5851	439	7	0.8	0.8	NUM
ejpam-5851	439	8	,	,	PUNCT
ejpam-5851	439	9	v6	v6	NOUN
ejpam-5851	439	10	=	=	NOUN
ejpam-5851	439	11	2.3	2.3	NUM
ejpam-5851	439	12	,	,	PUNCT
ejpam-5851	439	13	j1	j1	PROPN
ejpam-5851	439	14	=	=	SYM
ejpam-5851	439	15	9.1	9.1	NUM
ejpam-5851	439	16	,	,	PUNCT
ejpam-5851	439	17	j2	j2	PROPN
ejpam-5851	439	18	=	=	SYM
ejpam-5851	439	19	5.9	5.9	NUM
ejpam-5851	439	20	,	,	PUNCT
ejpam-5851	439	21	j4	j4	PROPN
ejpam-5851	439	22	=	=	SYM
ejpam-5851	439	23	1.2	1.2	NUM
ejpam-5851	439	24	,	,	PUNCT
ejpam-5851	439	25	a	a	DET
ejpam-5851	439	26	=	=	SYM
ejpam-5851	439	27	9.1	9.1	NUM
ejpam-5851	439	28	,	,	PUNCT
ejpam-5851	439	29	b	b	NOUN
ejpam-5851	439	30	=	=	SYM
ejpam-5851	439	31	5.0	5.0	NUM
ejpam-5851	439	32	,	,	PUNCT
ejpam-5851	439	33	c	c	NOUN
ejpam-5851	439	34	=	=	SYM
ejpam-5851	439	35	3.5	3.5	NUM
ejpam-5851	439	36	,	,	PUNCT
ejpam-5851	439	37	d	d	NOUN
ejpam-5851	439	38	=	=	SYM
ejpam-5851	439	39	1	1	NUM
ejpam-5851	439	40	,	,	PUNCT
ejpam-5851	439	41	k	k	NOUN
ejpam-5851	439	42	=	=	SYM
ejpam-5851	439	43	1.1	1.1	NUM
ejpam-5851	439	44	,	,	PUNCT
ejpam-5851	439	45	ω1	ω1	PROPN
ejpam-5851	439	46	=	=	SYM
ejpam-5851	439	47	0.99	0.99	NUM
ejpam-5851	439	48	and	and	CCONJ
ejpam-5851	439	49	θ	θ	NOUN
ejpam-5851	439	50	=	=	SYM
ejpam-5851	439	51	0.33	0.33	NUM
ejpam-5851	439	52	.	.	PUNCT
ejpam-5851	440	1	the	the	DET
ejpam-5851	440	2	solution	solution	NOUN
ejpam-5851	440	3	h1pck(x	h1pck(x	PROPN
ejpam-5851	440	4	,	,	PUNCT
ejpam-5851	440	5	t	t	PROPN
ejpam-5851	440	6	)	)	PUNCT
ejpam-5851	440	7	from	from	ADP
ejpam-5851	440	8	equation	equation	NOUN
ejpam-5851	440	9	(	(	PUNCT
ejpam-5851	440	10	47	47	NUM
ejpam-5851	440	11	)	)	PUNCT
ejpam-5851	440	12	is	be	AUX
ejpam-5851	440	13	shown	show	VERB
ejpam-5851	440	14	in	in	ADP
ejpam-5851	440	15	figure	figure	NOUN
ejpam-5851	440	16	12	12	NUM
ejpam-5851	440	17	for	for	ADP
ejpam-5851	440	18	the	the	DET
ejpam-5851	440	19	same	same	ADJ
ejpam-5851	440	20	choice	choice	NOUN
ejpam-5851	440	21	of	of	ADP
ejpam-5851	440	22	parameter	parameter	NOUN
ejpam-5851	440	23	values	value	NOUN
ejpam-5851	440	24	.	.	PUNCT
ejpam-5851	441	1	in	in	ADP
ejpam-5851	441	2	turn	turn	NOUN
ejpam-5851	441	3	,	,	PUNCT
ejpam-5851	441	4	the	the	DET
ejpam-5851	441	5	solution	solution	NOUN
ejpam-5851	441	6	g2pck(x	g2pck(x	PROPN
ejpam-5851	441	7	,	,	PUNCT
ejpam-5851	441	8	t	t	PROPN
ejpam-5851	441	9	)	)	PUNCT
ejpam-5851	441	10	from	from	ADP
ejpam-5851	441	11	equation	equation	NOUN
ejpam-5851	441	12	(	(	PUNCT
ejpam-5851	441	13	55	55	NUM
ejpam-5851	441	14	)	)	PUNCT
ejpam-5851	441	15	is	be	AUX
ejpam-5851	441	16	shown	show	VERB
ejpam-5851	441	17	in	in	ADP
ejpam-5851	441	18	figure	figure	NOUN
ejpam-5851	441	19	13	13	NUM
ejpam-5851	441	20	using	use	VERB
ejpam-5851	441	21	v2	v2	PROPN
ejpam-5851	441	22	=	=	SYM
ejpam-5851	441	23	1.1	1.1	NUM
ejpam-5851	441	24	,	,	PUNCT
ejpam-5851	441	25	v4	v4	NOUN
ejpam-5851	441	26	=	=	NUM
ejpam-5851	441	27	0.4	0.4	NUM
ejpam-5851	441	28	,	,	PUNCT
ejpam-5851	441	29	v8	v8	PROPN
ejpam-5851	441	30	=	=	SYM
ejpam-5851	441	31	2.8	2.8	NUM
ejpam-5851	441	32	,	,	PUNCT
ejpam-5851	441	33	j1	j1	PROPN
ejpam-5851	441	34	=	=	SYM
ejpam-5851	441	35	1.2	1.2	NUM
ejpam-5851	441	36	,	,	PUNCT
ejpam-5851	441	37	j3	j3	PROPN
ejpam-5851	441	38	=	=	NOUN
ejpam-5851	441	39	0.7	0.7	NUM
ejpam-5851	441	40	,	,	PUNCT
ejpam-5851	441	41	a	a	DET
ejpam-5851	441	42	=	=	NOUN
ejpam-5851	441	43	0.2	0.2	NUM
ejpam-5851	441	44	,	,	PUNCT
ejpam-5851	441	45	b	b	NOUN
ejpam-5851	441	46	=	=	SYM
ejpam-5851	441	47	0.2	0.2	NUM
ejpam-5851	441	48	,	,	PUNCT
ejpam-5851	441	49	c	c	NOUN
ejpam-5851	441	50	=	=	SYM
ejpam-5851	441	51	1.9	1.9	NUM
ejpam-5851	441	52	,	,	PUNCT
ejpam-5851	441	53	d	d	NOUN
ejpam-5851	441	54	=	=	SYM
ejpam-5851	441	55	1	1	NUM
ejpam-5851	441	56	,	,	PUNCT
ejpam-5851	441	57	k	k	NOUN
ejpam-5851	441	58	=	=	PUNCT
ejpam-5851	441	59	0.8	0.8	NUM
ejpam-5851	441	60	,	,	PUNCT
ejpam-5851	441	61	ω1	ω1	PROPN
ejpam-5851	441	62	=	=	SYM
ejpam-5851	441	63	0.1	0.1	NUM
ejpam-5851	441	64	and	and	CCONJ
ejpam-5851	441	65	θ	θ	NOUN
ejpam-5851	441	66	=	=	SYM
ejpam-5851	441	67	2.9	2.9	NUM
ejpam-5851	441	68	.	.	PUNCT
ejpam-5851	442	1	meanwhile	meanwhile	ADV
ejpam-5851	442	2	,	,	PUNCT
ejpam-5851	442	3	the	the	DET
ejpam-5851	442	4	solution	solution	NOUN
ejpam-5851	442	5	h2pck(x	h2pck(x	PROPN
ejpam-5851	442	6	,	,	PUNCT
ejpam-5851	442	7	t	t	NOUN
ejpam-5851	442	8	)	)	PUNCT
ejpam-5851	442	9	corresponding	correspond	VERB
ejpam-5851	442	10	to	to	ADP
ejpam-5851	442	11	equation	equation	NOUN
ejpam-5851	442	12	(	(	PUNCT
ejpam-5851	442	13	56	56	NUM
ejpam-5851	442	14	)	)	PUNCT
ejpam-5851	442	15	is	be	AUX
ejpam-5851	442	16	presented	present	VERB
ejpam-5851	442	17	in	in	ADP
ejpam-5851	442	18	figure	figure	NOUN
ejpam-5851	442	19	14	14	NUM
ejpam-5851	442	20	for	for	ADP
ejpam-5851	442	21	the	the	DET
ejpam-5851	442	22	same	same	ADJ
ejpam-5851	442	23	parameter	parameter	NOUN
ejpam-5851	442	24	set	set	NOUN
ejpam-5851	442	25	.	.	PUNCT
ejpam-5851	443	1	4.5	4.5	NUM
ejpam-5851	443	2	.	.	PUNCT
ejpam-5851	444	1	homoclinic	homoclinic	ADJ
ejpam-5851	444	2	breather	breather	NOUN
ejpam-5851	444	3	(	(	PUNCT
ejpam-5851	444	4	hb	hb	X
ejpam-5851	444	5	)	)	PUNCT
ejpam-5851	444	6	this	this	DET
ejpam-5851	444	7	pattern	pattern	NOUN
ejpam-5851	444	8	of	of	ADP
ejpam-5851	444	9	waves	wave	NOUN
ejpam-5851	444	10	is	be	AUX
ejpam-5851	444	11	reached	reach	VERB
ejpam-5851	444	12	by	by	ADP
ejpam-5851	444	13	using	use	VERB
ejpam-5851	444	14	(	(	PUNCT
ejpam-5851	444	15	see	see	VERB
ejpam-5851	444	16	[	[	X
ejpam-5851	444	17	55	55	NUM
ejpam-5851	444	18	]	]	SYM
ejpam-5851	444	19	)	)	PUNCT
ejpam-5851	444	20	φ(σ	φ(σ	NUM
ejpam-5851	444	21	)	)	PUNCT
ejpam-5851	444	22	=	=	SYM
ejpam-5851	444	23	j1	j1	PROPN
ejpam-5851	444	24	exp	exp	NOUN
ejpam-5851	444	25	(	(	PUNCT
ejpam-5851	444	26	k	k	X
ejpam-5851	444	27	(	(	PUNCT
ejpam-5851	444	28	σv3	σv3	NOUN
ejpam-5851	444	29	+	+	CCONJ
ejpam-5851	444	30	v4	v4	NOUN
ejpam-5851	444	31	)	)	PUNCT
ejpam-5851	444	32	)	)	PUNCT
ejpam-5851	445	1	+	+	CCONJ
ejpam-5851	445	2	exp	exp	NOUN
ejpam-5851	445	3	(	(	PUNCT
ejpam-5851	445	4	−k	−k	PROPN
ejpam-5851	445	5	(	(	PUNCT
ejpam-5851	445	6	σv1	σv1	NOUN
ejpam-5851	445	7	+	+	CCONJ
ejpam-5851	445	8	v2	v2	NOUN
ejpam-5851	445	9	)	)	PUNCT
ejpam-5851	445	10	)	)	PUNCT
ejpam-5851	446	1	+	+	CCONJ
ejpam-5851	446	2	j2	j2	PROPN
ejpam-5851	446	3	cos	cos	PROPN
ejpam-5851	446	4	(	(	PUNCT
ejpam-5851	446	5	k	k	X
ejpam-5851	446	6	(	(	PUNCT
ejpam-5851	446	7	σv5	σv5	NOUN
ejpam-5851	446	8	+	+	X
ejpam-5851	446	9	v6	v6	NOUN
ejpam-5851	446	10	)	)	PUNCT
ejpam-5851	446	11	)	)	PUNCT
ejpam-5851	446	12	.	.	PUNCT
ejpam-5851	447	1	(	(	PUNCT
ejpam-5851	447	2	59	59	NUM
ejpam-5851	447	3	)	)	PUNCT
ejpam-5851	447	4	by	by	ADP
ejpam-5851	447	5	substituting	substitute	VERB
ejpam-5851	447	6	equation	equation	NOUN
ejpam-5851	447	7	(	(	PUNCT
ejpam-5851	447	8	59	59	NUM
ejpam-5851	447	9	)	)	PUNCT
ejpam-5851	447	10	and	and	CCONJ
ejpam-5851	447	11	its	its	PRON
ejpam-5851	447	12	first	first	ADJ
ejpam-5851	447	13	three	three	NUM
ejpam-5851	447	14	derivatives	derivative	NOUN
ejpam-5851	447	15	into	into	ADP
ejpam-5851	447	16	equation	equation	NOUN
ejpam-5851	447	17	(	(	PUNCT
ejpam-5851	447	18	13	13	NUM
ejpam-5851	447	19	)	)	PUNCT
ejpam-5851	447	20	,	,	PUNCT
ejpam-5851	447	21	we	we	PRON
ejpam-5851	447	22	obtained	obtain	VERB
ejpam-5851	447	23	a	a	DET
ejpam-5851	447	24	simplified	simplified	ADJ
ejpam-5851	447	25	expression	expression	NOUN
ejpam-5851	447	26	.	.	PUNCT
ejpam-5851	448	1	we	we	PRON
ejpam-5851	448	2	assemble	assemble	VERB
ejpam-5851	448	3	similar	similar	ADJ
ejpam-5851	448	4	terms	term	NOUN
ejpam-5851	448	5	together	together	ADV
ejpam-5851	448	6	,	,	PUNCT
ejpam-5851	448	7	and	and	CCONJ
ejpam-5851	448	8	equate	equate	VERB
ejpam-5851	448	9	each	each	DET
ejpam-5851	448	10	expression	expression	NOUN
ejpam-5851	448	11	’s	’s	PART
ejpam-5851	448	12	coefficients	coefficient	NOUN
ejpam-5851	448	13	to	to	ADP
ejpam-5851	448	14	zero	zero	NUM
ejpam-5851	448	15	.	.	PUNCT
ejpam-5851	449	1	thus	thus	ADV
ejpam-5851	449	2	,	,	PUNCT
ejpam-5851	449	3	we	we	PRON
ejpam-5851	449	4	obtained	obtain	VERB
ejpam-5851	449	5	the	the	DET
ejpam-5851	449	6	following	follow	VERB
ejpam-5851	449	7	sets	set	NOUN
ejpam-5851	449	8	of	of	ADP
ejpam-5851	449	9	constant	constant	ADJ
ejpam-5851	449	10	values	value	NOUN
ejpam-5851	449	11	:	:	PUNCT
ejpam-5851	449	12	b.	b.	PROPN
ejpam-5851	449	13	ceesay	ceesay	VERB
ejpam-5851	449	14	et	et	PROPN
ejpam-5851	449	15	al	al	PROPN
ejpam-5851	449	16	.	.	PUNCT
ejpam-5851	449	17	/	/	SYM
ejpam-5851	449	18	eur	eur	PROPN
ejpam-5851	449	19	.	.	PUNCT
ejpam-5851	450	1	j.	j.	PROPN
ejpam-5851	450	2	pure	pure	PROPN
ejpam-5851	450	3	appl	appl	PROPN
ejpam-5851	450	4	.	.	PROPN
ejpam-5851	450	5	math	math	PROPN
ejpam-5851	450	6	,	,	PUNCT
ejpam-5851	450	7	18	18	NUM
ejpam-5851	450	8	(	(	PUNCT
ejpam-5851	450	9	2	2	NUM
ejpam-5851	450	10	)	)	PUNCT
ejpam-5851	450	11	(	(	PUNCT
ejpam-5851	450	12	2025	2025	NUM
ejpam-5851	450	13	)	)	PUNCT
ejpam-5851	450	14	,	,	PUNCT
ejpam-5851	450	15	5851	5851	NUM
ejpam-5851	450	16	18	18	NUM
ejpam-5851	450	17	of	of	ADP
ejpam-5851	450	18	32	32	NUM
ejpam-5851	450	19	(	(	PUNCT
ejpam-5851	450	20	a	a	NOUN
ejpam-5851	450	21	)	)	PUNCT
ejpam-5851	450	22	(	(	PUNCT
ejpam-5851	450	23	b	b	X
ejpam-5851	450	24	)	)	PUNCT
ejpam-5851	450	25	(	(	PUNCT
ejpam-5851	450	26	c	c	X
ejpam-5851	450	27	)	)	PUNCT
ejpam-5851	450	28	figure	figure	NOUN
ejpam-5851	450	29	13	13	NUM
ejpam-5851	450	30	:	:	PUNCT
ejpam-5851	450	31	(	(	PUNCT
ejpam-5851	450	32	a	a	X
ejpam-5851	450	33	)	)	PUNCT
ejpam-5851	450	34	three	three	NUM
ejpam-5851	450	35	-	-	PUNCT
ejpam-5851	450	36	dimensional	dimensional	ADJ
ejpam-5851	450	37	plot	plot	NOUN
ejpam-5851	450	38	,	,	PUNCT
ejpam-5851	450	39	(	(	PUNCT
ejpam-5851	450	40	b	b	X
ejpam-5851	450	41	)	)	PUNCT
ejpam-5851	450	42	contour	contour	NOUN
ejpam-5851	450	43	plot	plot	NOUN
ejpam-5851	450	44	and	and	CCONJ
ejpam-5851	450	45	(	(	PUNCT
ejpam-5851	450	46	c	c	NOUN
ejpam-5851	450	47	)	)	PUNCT
ejpam-5851	450	48	density	density	NOUN
ejpam-5851	450	49	plot	plot	NOUN
ejpam-5851	450	50	corresponding	correspond	VERB
ejpam-5851	450	51	to	to	ADP
ejpam-5851	450	52	the	the	DET
ejpam-5851	450	53	function	function	NOUN
ejpam-5851	450	54	g2pck	g2pck	NOUN
ejpam-5851	450	55	versus	versus	ADP
ejpam-5851	450	56	x	x	PUNCT
ejpam-5851	450	57	and	and	CCONJ
ejpam-5851	450	58	t.	t.	NOUN
ejpam-5851	450	59	we	we	PRON
ejpam-5851	450	60	used	use	VERB
ejpam-5851	450	61	the	the	DET
ejpam-5851	450	62	parameters	parameter	NOUN
ejpam-5851	451	1	v2	v2	NOUN
ejpam-5851	451	2	=	=	SYM
ejpam-5851	451	3	1.1	1.1	NUM
ejpam-5851	451	4	,	,	PUNCT
ejpam-5851	451	5	v4	v4	NOUN
ejpam-5851	451	6	=	=	NUM
ejpam-5851	451	7	0.4	0.4	NUM
ejpam-5851	451	8	,	,	PUNCT
ejpam-5851	451	9	v8	v8	PROPN
ejpam-5851	451	10	=	=	SYM
ejpam-5851	451	11	2.8	2.8	NUM
ejpam-5851	451	12	,	,	PUNCT
ejpam-5851	451	13	j1	j1	PROPN
ejpam-5851	451	14	=	=	SYM
ejpam-5851	451	15	1.2	1.2	NUM
ejpam-5851	451	16	,	,	PUNCT
ejpam-5851	451	17	j3	j3	PROPN
ejpam-5851	451	18	=	=	NOUN
ejpam-5851	451	19	0.7	0.7	NUM
ejpam-5851	451	20	,	,	PUNCT
ejpam-5851	451	21	a	a	DET
ejpam-5851	451	22	=	=	NOUN
ejpam-5851	451	23	0.2	0.2	NUM
ejpam-5851	451	24	,	,	PUNCT
ejpam-5851	451	25	b	b	NOUN
ejpam-5851	451	26	=	=	SYM
ejpam-5851	451	27	0.2	0.2	NUM
ejpam-5851	451	28	,	,	PUNCT
ejpam-5851	451	29	c	c	NOUN
ejpam-5851	451	30	=	=	SYM
ejpam-5851	451	31	1.9	1.9	NUM
ejpam-5851	451	32	,	,	PUNCT
ejpam-5851	451	33	d	d	NOUN
ejpam-5851	451	34	=	=	SYM
ejpam-5851	451	35	1	1	NUM
ejpam-5851	451	36	,	,	PUNCT
ejpam-5851	451	37	k	k	NOUN
ejpam-5851	451	38	=	=	PUNCT
ejpam-5851	451	39	0.8	0.8	NUM
ejpam-5851	451	40	,	,	PUNCT
ejpam-5851	451	41	ω1	ω1	PROPN
ejpam-5851	451	42	=	=	SYM
ejpam-5851	451	43	0.1	0.1	NUM
ejpam-5851	451	44	and	and	CCONJ
ejpam-5851	451	45	θ	θ	NOUN
ejpam-5851	451	46	=	=	SYM
ejpam-5851	451	47	2.9	2.9	NUM
ejpam-5851	451	48	.	.	PUNCT
ejpam-5851	452	1	(	(	PUNCT
ejpam-5851	452	2	a	a	X
ejpam-5851	452	3	)	)	PUNCT
ejpam-5851	452	4	(	(	PUNCT
ejpam-5851	452	5	b	b	X
ejpam-5851	452	6	)	)	PUNCT
ejpam-5851	452	7	(	(	PUNCT
ejpam-5851	452	8	c	c	X
ejpam-5851	452	9	)	)	PUNCT
ejpam-5851	452	10	figure	figure	NOUN
ejpam-5851	452	11	14	14	NUM
ejpam-5851	452	12	:	:	PUNCT
ejpam-5851	452	13	(	(	PUNCT
ejpam-5851	452	14	a	a	X
ejpam-5851	452	15	)	)	PUNCT
ejpam-5851	452	16	three	three	NUM
ejpam-5851	452	17	-	-	PUNCT
ejpam-5851	452	18	dimensional	dimensional	ADJ
ejpam-5851	452	19	plot	plot	NOUN
ejpam-5851	452	20	,	,	PUNCT
ejpam-5851	452	21	(	(	PUNCT
ejpam-5851	452	22	b	b	X
ejpam-5851	452	23	)	)	PUNCT
ejpam-5851	452	24	contour	contour	NOUN
ejpam-5851	452	25	plot	plot	NOUN
ejpam-5851	452	26	and	and	CCONJ
ejpam-5851	452	27	(	(	PUNCT
ejpam-5851	452	28	c	c	NOUN
ejpam-5851	452	29	)	)	PUNCT
ejpam-5851	452	30	density	density	NOUN
ejpam-5851	452	31	plot	plot	NOUN
ejpam-5851	452	32	corresponding	correspond	VERB
ejpam-5851	452	33	to	to	ADP
ejpam-5851	452	34	the	the	DET
ejpam-5851	452	35	function	function	NOUN
ejpam-5851	452	36	h2pck	h2pck	PROPN
ejpam-5851	452	37	versus	versus	ADP
ejpam-5851	452	38	x	x	PROPN
ejpam-5851	452	39	and	and	CCONJ
ejpam-5851	452	40	t.	t.	NOUN
ejpam-5851	452	41	we	we	PRON
ejpam-5851	452	42	used	use	VERB
ejpam-5851	452	43	the	the	DET
ejpam-5851	452	44	parameters	parameter	NOUN
ejpam-5851	453	1	v2	v2	NOUN
ejpam-5851	453	2	=	=	SYM
ejpam-5851	453	3	1.1	1.1	NUM
ejpam-5851	453	4	,	,	PUNCT
ejpam-5851	453	5	v4	v4	NOUN
ejpam-5851	453	6	=	=	NUM
ejpam-5851	453	7	0.4	0.4	NUM
ejpam-5851	453	8	,	,	PUNCT
ejpam-5851	453	9	v8	v8	PROPN
ejpam-5851	453	10	=	=	SYM
ejpam-5851	453	11	2.8	2.8	NUM
ejpam-5851	453	12	,	,	PUNCT
ejpam-5851	453	13	j1	j1	PROPN
ejpam-5851	453	14	=	=	SYM
ejpam-5851	453	15	1.2	1.2	NUM
ejpam-5851	453	16	,	,	PUNCT
ejpam-5851	453	17	j3	j3	PROPN
ejpam-5851	453	18	=	=	NOUN
ejpam-5851	453	19	0.7	0.7	NUM
ejpam-5851	453	20	,	,	PUNCT
ejpam-5851	453	21	a	a	DET
ejpam-5851	453	22	=	=	NOUN
ejpam-5851	453	23	0.2	0.2	NUM
ejpam-5851	453	24	,	,	PUNCT
ejpam-5851	453	25	b	b	NOUN
ejpam-5851	453	26	=	=	SYM
ejpam-5851	453	27	0.2	0.2	NUM
ejpam-5851	453	28	,	,	PUNCT
ejpam-5851	453	29	c	c	NOUN
ejpam-5851	453	30	=	=	SYM
ejpam-5851	453	31	1.9	1.9	NUM
ejpam-5851	453	32	,	,	PUNCT
ejpam-5851	453	33	d	d	NOUN
ejpam-5851	453	34	=	=	SYM
ejpam-5851	453	35	1	1	NUM
ejpam-5851	453	36	,	,	PUNCT
ejpam-5851	453	37	k	k	NOUN
ejpam-5851	453	38	=	=	PUNCT
ejpam-5851	453	39	0.8	0.8	NUM
ejpam-5851	453	40	,	,	PUNCT
ejpam-5851	453	41	ω1	ω1	PROPN
ejpam-5851	453	42	=	=	SYM
ejpam-5851	453	43	0.1	0.1	NUM
ejpam-5851	453	44	and	and	CCONJ
ejpam-5851	453	45	θ	θ	PROPN
ejpam-5851	453	46	=	=	SYM
ejpam-5851	453	47	2.9	2.9	NUM
ejpam-5851	453	48	.	.	PUNCT
ejpam-5851	454	1	family	family	NOUN
ejpam-5851	454	2	1	1	NUM
ejpam-5851	454	3	.	.	PUNCT
ejpam-5851	455	1	j1	j1	PROPN
ejpam-5851	455	2	=	=	SYM
ejpam-5851	455	3	0	0	NUM
ejpam-5851	455	4	,	,	PUNCT
ejpam-5851	455	5	v1	v1	NOUN
ejpam-5851	455	6	=	=	SYM
ejpam-5851	455	7	√	√	PROPN
ejpam-5851	455	8	−abθ2	−abθ2	NOUN
ejpam-5851	455	9	+	+	CCONJ
ejpam-5851	456	1	2aθ	2aθ	NOUN
ejpam-5851	457	1	+	+	CCONJ
ejpam-5851	457	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	457	3	−	−	PROPN
ejpam-5851	457	4	2bθω1	2bθω1	NUM
ejpam-5851	457	5	+	+	CCONJ
ejpam-5851	457	6	ω1√	ω1√	VERB
ejpam-5851	457	7	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	457	8	−	−	PROPN
ejpam-5851	457	9	2abk2	2abk2	NUM
ejpam-5851	457	10	,	,	PUNCT
ejpam-5851	457	11	v5	v5	PROPN
ejpam-5851	457	12	=	=	SYM
ejpam-5851	457	13	−	−	PROPN
ejpam-5851	457	14	√	√	PROPN
ejpam-5851	457	15	−abθ2	−abθ2	NOUN
ejpam-5851	457	16	+	+	CCONJ
ejpam-5851	457	17	2aθ	2aθ	NOUN
ejpam-5851	458	1	+	+	CCONJ
ejpam-5851	458	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	458	3	−	−	PROPN
ejpam-5851	458	4	2bθω1	2bθω1	NUM
ejpam-5851	458	5	+	+	CCONJ
ejpam-5851	458	6	ω1√	ω1√	PROPN
ejpam-5851	458	7	2	2	NUM
ejpam-5851	458	8	√	√	NOUN
ejpam-5851	458	9	abk2	abk2	NOUN
ejpam-5851	458	10	−	−	NOUN
ejpam-5851	458	11	b2k2ω1	b2k2ω1	NOUN
ejpam-5851	458	12	,	,	PUNCT
ejpam-5851	458	13	r	r	NOUN
ejpam-5851	458	14	=	=	NOUN
ejpam-5851	458	15	i	i	PRON
ejpam-5851	458	16	√	√	VERB
ejpam-5851	458	17	c	c	VERB
ejpam-5851	458	18	√	√	NUM
ejpam-5851	458	19	d	d	NOUN
ejpam-5851	458	20	.	.	PUNCT
ejpam-5851	459	1	substituting	substitute	VERB
ejpam-5851	459	2	them	they	PRON
ejpam-5851	459	3	into	into	ADP
ejpam-5851	459	4	equation	equation	NOUN
ejpam-5851	459	5	(	(	PUNCT
ejpam-5851	459	6	59	59	NUM
ejpam-5851	459	7	)	)	PUNCT
ejpam-5851	459	8	and	and	CCONJ
ejpam-5851	459	9	then	then	ADV
ejpam-5851	459	10	the	the	DET
ejpam-5851	459	11	result	result	NOUN
ejpam-5851	459	12	into	into	ADP
ejpam-5851	459	13	equation	equation	NOUN
ejpam-5851	459	14	(	(	PUNCT
ejpam-5851	459	15	12	12	NUM
ejpam-5851	459	16	)	)	PUNCT
ejpam-5851	459	17	,	,	PUNCT
ejpam-5851	459	18	we	we	PRON
ejpam-5851	459	19	reach	reach	VERB
ejpam-5851	459	20	λ1hb(σ	λ1hb(σ	NOUN
ejpam-5851	459	21	)	)	PUNCT
ejpam-5851	459	22	=	=	SYM
ejpam-5851	460	1	−	−	PROPN
ejpam-5851	460	2	ik	ik	PROPN
ejpam-5851	460	3	√	√	PROPN
ejpam-5851	460	4	aθ(2−	aθ(2−	PROPN
ejpam-5851	460	5	bθ	bθ	PROPN
ejpam-5851	460	6	)	)	PUNCT
ejpam-5851	461	1	+	+	CCONJ
ejpam-5851	462	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	462	2	−	−	PROPN
ejpam-5851	463	1	1)2	1)2	NUM
ejpam-5851	463	2	(	(	PUNCT
ejpam-5851	463	3	√	√	NUM
ejpam-5851	463	4	bk2	bk2	NOUN
ejpam-5851	463	5	(	(	PUNCT
ejpam-5851	463	6	a−	a−	PROPN
ejpam-5851	463	7	bω1)−a18j2	bω1)−a18j2	NOUN
ejpam-5851	463	8	√	√	NUM
ejpam-5851	464	1	bk2	bk2	NOUN
ejpam-5851	464	2	(	(	PUNCT
ejpam-5851	464	3	bω1	bω1	NOUN
ejpam-5851	464	4	−	−	NOUN
ejpam-5851	464	5	a	a	NOUN
ejpam-5851	464	6	)	)	PUNCT
ejpam-5851	464	7	)	)	PUNCT
ejpam-5851	465	1	√	√	ADP
ejpam-5851	465	2	2	2	NUM
ejpam-5851	466	1	√	√	NUM
ejpam-5851	466	2	c	c	NOUN
ejpam-5851	466	3	√	√	PROPN
ejpam-5851	466	4	d	d	PROPN
ejpam-5851	466	5	(	(	PUNCT
ejpam-5851	466	6	a19j2	a19j2	X
ejpam-5851	466	7	+	+	CCONJ
ejpam-5851	466	8	1	1	NUM
ejpam-5851	466	9	)	)	PUNCT
ejpam-5851	466	10	√	√	PROPN
ejpam-5851	466	11	−b2k4	−b2k4	PROPN
ejpam-5851	466	12	(	(	PUNCT
ejpam-5851	466	13	a−	a−	PROPN
ejpam-5851	466	14	bω1	bω1	NOUN
ejpam-5851	466	15	)	)	PUNCT
ejpam-5851	466	16	2	2	NUM
ejpam-5851	466	17	.	.	PUNCT
ejpam-5851	467	1	(	(	PUNCT
ejpam-5851	467	2	60	60	NUM
ejpam-5851	467	3	)	)	PUNCT
ejpam-5851	467	4	substituting	substitute	VERB
ejpam-5851	467	5	equation	equation	NOUN
ejpam-5851	467	6	(	(	PUNCT
ejpam-5851	467	7	60	60	NUM
ejpam-5851	467	8	)	)	PUNCT
ejpam-5851	467	9	into	into	ADP
ejpam-5851	467	10	equation	equation	NOUN
ejpam-5851	467	11	(	(	PUNCT
ejpam-5851	467	12	10	10	NUM
ejpam-5851	467	13	)	)	PUNCT
ejpam-5851	467	14	gives	give	VERB
ejpam-5851	467	15	∆1hb(σ	∆1hb(σ	NUM
ejpam-5851	467	16	)	)	PUNCT
ejpam-5851	467	17	=	=	SYM
ejpam-5851	468	1	(	(	PUNCT
ejpam-5851	468	2	aθ(bθ	aθ(bθ	VERB
ejpam-5851	468	3	−	−	PUNCT
ejpam-5851	468	4	2)−	2)−	NUM
ejpam-5851	468	5	ω1(bθ	ω1(bθ	NUM
ejpam-5851	468	6	−	−	PROPN
ejpam-5851	468	7	1)2	1)2	NUM
ejpam-5851	468	8	)	)	PUNCT
ejpam-5851	468	9	(	(	PUNCT
ejpam-5851	468	10	√	√	NUM
ejpam-5851	468	11	bk2	bk2	NOUN
ejpam-5851	468	12	(	(	PUNCT
ejpam-5851	468	13	a−	a−	PROPN
ejpam-5851	468	14	bω1)−a18j2	bω1)−a18j2	NOUN
ejpam-5851	468	15	√	√	NUM
ejpam-5851	469	1	bk2	bk2	NOUN
ejpam-5851	469	2	(	(	PUNCT
ejpam-5851	469	3	bω1	bω1	NOUN
ejpam-5851	469	4	−	−	PROPN
ejpam-5851	469	5	a	a	NOUN
ejpam-5851	469	6	)	)	PUNCT
ejpam-5851	469	7	)	)	PUNCT
ejpam-5851	469	8	2	2	NUM
ejpam-5851	469	9	b2ck2	b2ck2	NOUN
ejpam-5851	469	10	(	(	PUNCT
ejpam-5851	469	11	a19j2	a19j2	X
ejpam-5851	469	12	+	+	CCONJ
ejpam-5851	469	13	1	1	NUM
ejpam-5851	469	14	)	)	PUNCT
ejpam-5851	469	15	2	2	NUM
ejpam-5851	469	16	(	(	PUNCT
ejpam-5851	469	17	bω1	bω1	NOUN
ejpam-5851	469	18	−	−	NOUN
ejpam-5851	469	19	a	a	NOUN
ejpam-5851	469	20	)	)	PUNCT
ejpam-5851	469	21	,	,	PUNCT
ejpam-5851	469	22	(	(	PUNCT
ejpam-5851	469	23	61	61	NUM
ejpam-5851	469	24	)	)	PUNCT
ejpam-5851	469	25	b.	b.	PROPN
ejpam-5851	469	26	ceesay	ceesay	PROPN
ejpam-5851	469	27	et	et	PROPN
ejpam-5851	469	28	al	al	PROPN
ejpam-5851	469	29	.	.	PUNCT
ejpam-5851	469	30	/	/	SYM
ejpam-5851	469	31	eur	eur	PROPN
ejpam-5851	469	32	.	.	PUNCT
ejpam-5851	470	1	j.	j.	PROPN
ejpam-5851	470	2	pure	pure	PROPN
ejpam-5851	470	3	appl	appl	PROPN
ejpam-5851	470	4	.	.	PROPN
ejpam-5851	470	5	math	math	PROPN
ejpam-5851	470	6	,	,	PUNCT
ejpam-5851	470	7	18	18	NUM
ejpam-5851	470	8	(	(	PUNCT
ejpam-5851	470	9	2	2	NUM
ejpam-5851	470	10	)	)	PUNCT
ejpam-5851	470	11	(	(	PUNCT
ejpam-5851	470	12	2025	2025	NUM
ejpam-5851	470	13	)	)	PUNCT
ejpam-5851	470	14	,	,	PUNCT
ejpam-5851	470	15	5851	5851	NUM
ejpam-5851	470	16	19	19	NUM
ejpam-5851	470	17	of	of	ADP
ejpam-5851	470	18	32	32	NUM
ejpam-5851	470	19	where	where	SCONJ
ejpam-5851	470	20	a18	a18	PROPN
ejpam-5851	470	21	=	=	SYM
ejpam-5851	470	22	exp	exp	PROPN
ejpam-5851	470	23	(	(	PUNCT
ejpam-5851	470	24	k	k	X
ejpam-5851	470	25	(	(	PUNCT
ejpam-5851	470	26	σ	σ	NOUN
ejpam-5851	470	27	√	√	PROPN
ejpam-5851	470	28	aθ(2−	aθ(2−	PROPN
ejpam-5851	470	29	bθ	bθ	PROPN
ejpam-5851	470	30	)	)	PUNCT
ejpam-5851	471	1	+	+	CCONJ
ejpam-5851	472	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	472	2	−	−	PROPN
ejpam-5851	473	1	1)2	1)2	NUM
ejpam-5851	473	2	√	√	NUM
ejpam-5851	473	3	2	2	NUM
ejpam-5851	473	4	√	√	NUM
ejpam-5851	473	5	bk2	bk2	NOUN
ejpam-5851	473	6	(	(	PUNCT
ejpam-5851	473	7	bω1	bω1	NOUN
ejpam-5851	473	8	−	−	NOUN
ejpam-5851	473	9	a	a	NOUN
ejpam-5851	473	10	)	)	PUNCT
ejpam-5851	474	1	+	+	CCONJ
ejpam-5851	474	2	v2	v2	NOUN
ejpam-5851	474	3	)	)	PUNCT
ejpam-5851	474	4	)	)	PUNCT
ejpam-5851	474	5	(	(	PUNCT
ejpam-5851	474	6	62	62	NUM
ejpam-5851	474	7	)	)	PUNCT
ejpam-5851	474	8	·	·	PUNCT
ejpam-5851	474	9	sin	sin	NOUN
ejpam-5851	474	10	(	(	PUNCT
ejpam-5851	474	11	k	k	X
ejpam-5851	474	12	(	(	PUNCT
ejpam-5851	474	13	v6	v6	PROPN
ejpam-5851	475	1	−	−	PROPN
ejpam-5851	476	1	σ	σ	PROPN
ejpam-5851	477	1	√	√	PROPN
ejpam-5851	477	2	aθ(2−	aθ(2−	PROPN
ejpam-5851	477	3	bθ	bθ	PROPN
ejpam-5851	477	4	)	)	PUNCT
ejpam-5851	478	1	+	+	CCONJ
ejpam-5851	479	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	479	2	−	−	PROPN
ejpam-5851	480	1	1)2	1)2	NUM
ejpam-5851	480	2	√	√	NUM
ejpam-5851	480	3	2	2	NUM
ejpam-5851	480	4	√	√	NUM
ejpam-5851	480	5	bk2	bk2	NOUN
ejpam-5851	480	6	(	(	PUNCT
ejpam-5851	480	7	a−	a−	PROPN
ejpam-5851	480	8	bω1	bω1	NOUN
ejpam-5851	480	9	)	)	PUNCT
ejpam-5851	480	10	)	)	PUNCT
ejpam-5851	480	11	)	)	PUNCT
ejpam-5851	480	12	,	,	PUNCT
ejpam-5851	480	13	(	(	PUNCT
ejpam-5851	480	14	63	63	NUM
ejpam-5851	480	15	)	)	PUNCT
ejpam-5851	480	16	a19	a19	PROPN
ejpam-5851	480	17	=	=	SYM
ejpam-5851	480	18	exp	exp	PROPN
ejpam-5851	480	19	(	(	PUNCT
ejpam-5851	480	20	k	k	X
ejpam-5851	480	21	(	(	PUNCT
ejpam-5851	480	22	σ	σ	NOUN
ejpam-5851	480	23	√	√	PROPN
ejpam-5851	480	24	aθ(2−	aθ(2−	PROPN
ejpam-5851	480	25	bθ	bθ	PROPN
ejpam-5851	480	26	)	)	PUNCT
ejpam-5851	481	1	+	+	CCONJ
ejpam-5851	482	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	482	2	−	−	PROPN
ejpam-5851	483	1	1)2	1)2	NUM
ejpam-5851	483	2	√	√	NUM
ejpam-5851	483	3	2	2	NUM
ejpam-5851	483	4	√	√	NUM
ejpam-5851	483	5	bk2	bk2	NOUN
ejpam-5851	483	6	(	(	PUNCT
ejpam-5851	483	7	bω1	bω1	NOUN
ejpam-5851	483	8	−	−	NOUN
ejpam-5851	483	9	a	a	NOUN
ejpam-5851	483	10	)	)	PUNCT
ejpam-5851	484	1	+	+	CCONJ
ejpam-5851	484	2	v2	v2	NOUN
ejpam-5851	484	3	)	)	PUNCT
ejpam-5851	484	4	)	)	PUNCT
ejpam-5851	484	5	(	(	PUNCT
ejpam-5851	484	6	64	64	NUM
ejpam-5851	484	7	)	)	PUNCT
ejpam-5851	484	8	·	·	PUNCT
ejpam-5851	485	1	cos	cos	PROPN
ejpam-5851	485	2	(	(	PUNCT
ejpam-5851	485	3	k	k	X
ejpam-5851	485	4	(	(	PUNCT
ejpam-5851	485	5	v6	v6	PROPN
ejpam-5851	485	6	−	−	PROPN
ejpam-5851	485	7	σ	σ	PROPN
ejpam-5851	485	8	√	√	PROPN
ejpam-5851	485	9	aθ(2−	aθ(2−	PROPN
ejpam-5851	485	10	bθ	bθ	PROPN
ejpam-5851	485	11	)	)	PUNCT
ejpam-5851	485	12	+	+	CCONJ
ejpam-5851	485	13	ω1(bθ	ω1(bθ	NUM
ejpam-5851	485	14	−	−	PROPN
ejpam-5851	485	15	1)2	1)2	NUM
ejpam-5851	485	16	√	√	NUM
ejpam-5851	485	17	2	2	NUM
ejpam-5851	485	18	√	√	NUM
ejpam-5851	485	19	bk2	bk2	NOUN
ejpam-5851	485	20	(	(	PUNCT
ejpam-5851	485	21	a−	a−	PROPN
ejpam-5851	485	22	bω1	bω1	NOUN
ejpam-5851	485	23	)	)	PUNCT
ejpam-5851	485	24	)	)	PUNCT
ejpam-5851	485	25	)	)	PUNCT
ejpam-5851	485	26	.	.	PUNCT
ejpam-5851	486	1	(	(	PUNCT
ejpam-5851	486	2	65	65	NUM
ejpam-5851	486	3	)	)	PUNCT
ejpam-5851	486	4	using	use	VERB
ejpam-5851	486	5	equations	equation	NOUN
ejpam-5851	486	6	(	(	PUNCT
ejpam-5851	486	7	60	60	NUM
ejpam-5851	486	8	)	)	PUNCT
ejpam-5851	486	9	and	and	CCONJ
ejpam-5851	486	10	(	(	PUNCT
ejpam-5851	486	11	61	61	NUM
ejpam-5851	486	12	)	)	PUNCT
ejpam-5851	486	13	into	into	ADP
ejpam-5851	486	14	equation	equation	NOUN
ejpam-5851	486	15	(	(	PUNCT
ejpam-5851	486	16	5	5	X
ejpam-5851	486	17	)	)	PUNCT
ejpam-5851	486	18	gives	give	VERB
ejpam-5851	486	19	a	a	DET
ejpam-5851	486	20	hb	hb	NOUN
ejpam-5851	486	21	wave	wave	NOUN
ejpam-5851	486	22	solution	solution	NOUN
ejpam-5851	486	23	for	for	ADP
ejpam-5851	486	24	equation	equation	NOUN
ejpam-5851	486	25	(	(	PUNCT
ejpam-5851	486	26	1	1	NUM
ejpam-5851	486	27	)	)	PUNCT
ejpam-5851	486	28	,	,	PUNCT
ejpam-5851	486	29	namely	namely	ADV
ejpam-5851	486	30	,	,	PUNCT
ejpam-5851	486	31	g1hb(x	g1hb(x	PROPN
ejpam-5851	486	32	,	,	PUNCT
ejpam-5851	486	33	t	t	PROPN
ejpam-5851	486	34	)	)	PUNCT
ejpam-5851	486	35	=	=	SYM
ejpam-5851	487	1	−	−	NOUN
ejpam-5851	487	2	ia6k	ia6k	NOUN
ejpam-5851	487	3	√	√	PROPN
ejpam-5851	487	4	aθ(2−	aθ(2−	PROPN
ejpam-5851	487	5	bθ	bθ	PROPN
ejpam-5851	487	6	)	)	PUNCT
ejpam-5851	488	1	+	+	CCONJ
ejpam-5851	489	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	489	2	−	−	PROPN
ejpam-5851	489	3	1)2	1)2	NUM
ejpam-5851	489	4	(	(	PUNCT
ejpam-5851	489	5	√	√	NUM
ejpam-5851	489	6	bk2	bk2	NOUN
ejpam-5851	489	7	(	(	PUNCT
ejpam-5851	489	8	a−	a−	PROPN
ejpam-5851	489	9	bω1)−a20j2	bω1)−a20j2	VERB
ejpam-5851	489	10	√	√	NUM
ejpam-5851	489	11	bk2	bk2	NOUN
ejpam-5851	489	12	(	(	PUNCT
ejpam-5851	489	13	bω1	bω1	NOUN
ejpam-5851	489	14	−	−	NOUN
ejpam-5851	489	15	a	a	NOUN
ejpam-5851	489	16	)	)	PUNCT
ejpam-5851	489	17	)	)	PUNCT
ejpam-5851	490	1	√	√	ADP
ejpam-5851	490	2	2	2	NUM
ejpam-5851	491	1	√	√	NUM
ejpam-5851	491	2	c	c	NOUN
ejpam-5851	491	3	√	√	PROPN
ejpam-5851	491	4	d	d	NOUN
ejpam-5851	491	5	(	(	PUNCT
ejpam-5851	491	6	a21j2	a21j2	VERB
ejpam-5851	491	7	+	+	NOUN
ejpam-5851	491	8	1	1	NUM
ejpam-5851	491	9	)	)	PUNCT
ejpam-5851	491	10	√	√	PROPN
ejpam-5851	491	11	−b2k4	−b2k4	PROPN
ejpam-5851	491	12	(	(	PUNCT
ejpam-5851	491	13	a−	a−	PROPN
ejpam-5851	491	14	bω1	bω1	NOUN
ejpam-5851	491	15	)	)	PUNCT
ejpam-5851	491	16	2	2	NUM
ejpam-5851	491	17	,	,	PUNCT
ejpam-5851	491	18	(	(	PUNCT
ejpam-5851	491	19	66	66	NUM
ejpam-5851	491	20	)	)	PUNCT
ejpam-5851	491	21	h1hb(x	h1hb(x	PROPN
ejpam-5851	491	22	,	,	PUNCT
ejpam-5851	491	23	t	t	PROPN
ejpam-5851	491	24	)	)	PUNCT
ejpam-5851	491	25	=	=	SYM
ejpam-5851	491	26	(	(	PUNCT
ejpam-5851	491	27	aθ(bθ	aθ(bθ	X
ejpam-5851	491	28	−	−	PUNCT
ejpam-5851	492	1	2)−	2)−	NUM
ejpam-5851	492	2	ω1(bθ	ω1(bθ	NUM
ejpam-5851	492	3	−	−	PROPN
ejpam-5851	492	4	1)2	1)2	NUM
ejpam-5851	492	5	)	)	PUNCT
ejpam-5851	492	6	(	(	PUNCT
ejpam-5851	492	7	√	√	NUM
ejpam-5851	492	8	bk2	bk2	NOUN
ejpam-5851	492	9	(	(	PUNCT
ejpam-5851	492	10	a−	a−	PROPN
ejpam-5851	492	11	bω1)−a20j2	bω1)−a20j2	VERB
ejpam-5851	492	12	√	√	NUM
ejpam-5851	493	1	bk2	bk2	NOUN
ejpam-5851	493	2	(	(	PUNCT
ejpam-5851	493	3	bω1	bω1	NOUN
ejpam-5851	493	4	−	−	PROPN
ejpam-5851	493	5	a	a	NOUN
ejpam-5851	493	6	)	)	PUNCT
ejpam-5851	493	7	)	)	PUNCT
ejpam-5851	493	8	2	2	NUM
ejpam-5851	493	9	b2ck2	b2ck2	NOUN
ejpam-5851	493	10	(	(	PUNCT
ejpam-5851	493	11	a21j2	a21j2	VERB
ejpam-5851	493	12	+	+	NOUN
ejpam-5851	493	13	1	1	NUM
ejpam-5851	493	14	)	)	PUNCT
ejpam-5851	493	15	2	2	NUM
ejpam-5851	493	16	(	(	PUNCT
ejpam-5851	493	17	bω1	bω1	NOUN
ejpam-5851	493	18	−	−	NOUN
ejpam-5851	493	19	a	a	NOUN
ejpam-5851	493	20	)	)	PUNCT
ejpam-5851	493	21	,	,	PUNCT
ejpam-5851	493	22	(	(	PUNCT
ejpam-5851	493	23	67	67	NUM
ejpam-5851	493	24	)	)	PUNCT
ejpam-5851	493	25	where	where	SCONJ
ejpam-5851	493	26	a20	a20	NOUN
ejpam-5851	493	27	=	=	SYM
ejpam-5851	493	28	exp	exp	PROPN
ejpam-5851	493	29	(	(	PUNCT
ejpam-5851	493	30	k	k	X
ejpam-5851	493	31	(	(	PUNCT
ejpam-5851	493	32	(	(	PUNCT
ejpam-5851	493	33	x−	x−	PROPN
ejpam-5851	493	34	tω1	tω1	PROPN
ejpam-5851	493	35	)	)	PUNCT
ejpam-5851	493	36	√	√	PROPN
ejpam-5851	493	37	aθ(2−	aθ(2−	PROPN
ejpam-5851	493	38	bθ	bθ	PROPN
ejpam-5851	493	39	)	)	PUNCT
ejpam-5851	494	1	+	+	CCONJ
ejpam-5851	495	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	495	2	−	−	PROPN
ejpam-5851	496	1	1)2	1)2	NUM
ejpam-5851	496	2	√	√	NUM
ejpam-5851	496	3	2	2	NUM
ejpam-5851	496	4	√	√	NUM
ejpam-5851	496	5	bk2	bk2	NOUN
ejpam-5851	496	6	(	(	PUNCT
ejpam-5851	496	7	bω1	bω1	NOUN
ejpam-5851	496	8	−	−	NOUN
ejpam-5851	496	9	a	a	NOUN
ejpam-5851	496	10	)	)	PUNCT
ejpam-5851	497	1	+	+	CCONJ
ejpam-5851	497	2	v2	v2	NOUN
ejpam-5851	497	3	)	)	PUNCT
ejpam-5851	497	4	)	)	PUNCT
ejpam-5851	497	5	·	·	PUNCT
ejpam-5851	498	1	sin	sin	NOUN
ejpam-5851	498	2	(	(	PUNCT
ejpam-5851	498	3	k	k	X
ejpam-5851	498	4	(	(	PUNCT
ejpam-5851	498	5	(	(	PUNCT
ejpam-5851	498	6	tω1	tω1	X
ejpam-5851	498	7	−	−	PROPN
ejpam-5851	498	8	x	x	SYM
ejpam-5851	498	9	)	)	PUNCT
ejpam-5851	498	10	√	√	PROPN
ejpam-5851	498	11	aθ(2−	aθ(2−	PROPN
ejpam-5851	498	12	bθ	bθ	PROPN
ejpam-5851	498	13	)	)	PUNCT
ejpam-5851	498	14	+	+	CCONJ
ejpam-5851	498	15	ω1(bθ	ω1(bθ	NUM
ejpam-5851	498	16	−	−	PROPN
ejpam-5851	498	17	1)2	1)2	NUM
ejpam-5851	498	18	√	√	NUM
ejpam-5851	498	19	2	2	NUM
ejpam-5851	498	20	√	√	NUM
ejpam-5851	498	21	bk2	bk2	NOUN
ejpam-5851	498	22	(	(	PUNCT
ejpam-5851	498	23	a−	a−	PROPN
ejpam-5851	498	24	bω1	bω1	NOUN
ejpam-5851	498	25	)	)	PUNCT
ejpam-5851	498	26	+	+	NUM
ejpam-5851	498	27	v6	v6	NOUN
ejpam-5851	498	28	)	)	PUNCT
ejpam-5851	498	29	)	)	PUNCT
ejpam-5851	498	30	,	,	PUNCT
ejpam-5851	498	31	(	(	PUNCT
ejpam-5851	498	32	68	68	NUM
ejpam-5851	498	33	)	)	PUNCT
ejpam-5851	498	34	and	and	CCONJ
ejpam-5851	498	35	a21	a21	NOUN
ejpam-5851	498	36	=	=	SYM
ejpam-5851	498	37	exp	exp	NOUN
ejpam-5851	498	38	(	(	PUNCT
ejpam-5851	498	39	k	k	X
ejpam-5851	498	40	(	(	PUNCT
ejpam-5851	498	41	(	(	PUNCT
ejpam-5851	498	42	x−	x−	PROPN
ejpam-5851	498	43	tω1	tω1	PROPN
ejpam-5851	498	44	)	)	PUNCT
ejpam-5851	498	45	√	√	PROPN
ejpam-5851	499	1	aθ(2−	aθ(2−	PROPN
ejpam-5851	499	2	bθ	bθ	PROPN
ejpam-5851	499	3	)	)	PUNCT
ejpam-5851	500	1	+	+	CCONJ
ejpam-5851	501	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	501	2	−	−	PROPN
ejpam-5851	502	1	1)2	1)2	NUM
ejpam-5851	502	2	√	√	NUM
ejpam-5851	502	3	2	2	NUM
ejpam-5851	502	4	√	√	NUM
ejpam-5851	502	5	bk2	bk2	NOUN
ejpam-5851	502	6	(	(	PUNCT
ejpam-5851	502	7	bω1	bω1	NOUN
ejpam-5851	502	8	−	−	NOUN
ejpam-5851	502	9	a	a	NOUN
ejpam-5851	502	10	)	)	PUNCT
ejpam-5851	503	1	+	+	CCONJ
ejpam-5851	503	2	v2	v2	NOUN
ejpam-5851	503	3	)	)	PUNCT
ejpam-5851	503	4	)	)	PUNCT
ejpam-5851	503	5	·	·	PUNCT
ejpam-5851	504	1	cos	cos	INTJ
ejpam-5851	504	2	(	(	PUNCT
ejpam-5851	504	3	k	k	X
ejpam-5851	504	4	(	(	PUNCT
ejpam-5851	504	5	(	(	PUNCT
ejpam-5851	504	6	tω1	tω1	X
ejpam-5851	504	7	−	−	PROPN
ejpam-5851	504	8	x	x	SYM
ejpam-5851	504	9	)	)	PUNCT
ejpam-5851	504	10	√	√	PROPN
ejpam-5851	504	11	aθ(2−	aθ(2−	PROPN
ejpam-5851	504	12	bθ	bθ	PROPN
ejpam-5851	504	13	)	)	PUNCT
ejpam-5851	504	14	+	+	CCONJ
ejpam-5851	504	15	ω1(bθ	ω1(bθ	NUM
ejpam-5851	504	16	−	−	PROPN
ejpam-5851	504	17	1)2	1)2	NUM
ejpam-5851	504	18	√	√	NUM
ejpam-5851	504	19	2	2	NUM
ejpam-5851	504	20	√	√	NUM
ejpam-5851	504	21	bk2	bk2	NOUN
ejpam-5851	504	22	(	(	PUNCT
ejpam-5851	504	23	a−	a−	PROPN
ejpam-5851	504	24	bω1	bω1	NOUN
ejpam-5851	504	25	)	)	PUNCT
ejpam-5851	504	26	+	+	NUM
ejpam-5851	504	27	v6	v6	NOUN
ejpam-5851	504	28	)	)	PUNCT
ejpam-5851	504	29	)	)	PUNCT
ejpam-5851	504	30	.	.	PUNCT
ejpam-5851	505	1	(	(	PUNCT
ejpam-5851	505	2	69	69	NUM
ejpam-5851	505	3	)	)	PUNCT
ejpam-5851	505	4	family	family	NOUN
ejpam-5851	505	5	2	2	NUM
ejpam-5851	505	6	.	.	PUNCT
ejpam-5851	505	7	v1	v1	PROPN
ejpam-5851	505	8	=	=	SYM
ejpam-5851	505	9	√	√	PROPN
ejpam-5851	505	10	−abθ2	−abθ2	NOUN
ejpam-5851	506	1	+	+	CCONJ
ejpam-5851	506	2	2aθ	2aθ	NOUN
ejpam-5851	506	3	+	+	CCONJ
ejpam-5851	506	4	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	506	5	−	−	PROPN
ejpam-5851	507	1	2bθω1	2bθω1	NUM
ejpam-5851	507	2	+	+	CCONJ
ejpam-5851	507	3	ω1√	ω1√	VERB
ejpam-5851	507	4	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	507	5	−	−	PROPN
ejpam-5851	507	6	2abk2	2abk2	NUM
ejpam-5851	507	7	,	,	PUNCT
ejpam-5851	507	8	v3	v3	PROPN
ejpam-5851	507	9	=	=	PROPN
ejpam-5851	507	10	√	√	PROPN
ejpam-5851	507	11	−abθ2	−abθ2	NOUN
ejpam-5851	507	12	+	+	CCONJ
ejpam-5851	507	13	2aθ	2aθ	NOUN
ejpam-5851	508	1	+	+	CCONJ
ejpam-5851	508	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	508	3	−	−	PROPN
ejpam-5851	508	4	2bθω1	2bθω1	NUM
ejpam-5851	508	5	+	+	CCONJ
ejpam-5851	508	6	ω1√	ω1√	VERB
ejpam-5851	508	7	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	508	8	−	−	PROPN
ejpam-5851	508	9	2abk2	2abk2	NUM
ejpam-5851	508	10	,	,	PUNCT
ejpam-5851	508	11	v5	v5	PROPN
ejpam-5851	508	12	=	=	SYM
ejpam-5851	508	13	−	−	PROPN
ejpam-5851	508	14	√	√	PROPN
ejpam-5851	508	15	−abθ2	−abθ2	NOUN
ejpam-5851	508	16	+	+	CCONJ
ejpam-5851	508	17	2aθ	2aθ	NOUN
ejpam-5851	509	1	+	+	CCONJ
ejpam-5851	509	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	509	3	−	−	PROPN
ejpam-5851	509	4	2bθω1	2bθω1	NUM
ejpam-5851	509	5	+	+	CCONJ
ejpam-5851	509	6	ω1√	ω1√	PROPN
ejpam-5851	509	7	2	2	NUM
ejpam-5851	509	8	√	√	NOUN
ejpam-5851	509	9	abk2	abk2	NOUN
ejpam-5851	509	10	−	−	NOUN
ejpam-5851	509	11	b2k2ω1	b2k2ω1	NOUN
ejpam-5851	509	12	,	,	PUNCT
ejpam-5851	509	13	r	r	NOUN
ejpam-5851	509	14	=	=	PUNCT
ejpam-5851	509	15	−	−	PROPN
ejpam-5851	510	1	i	i	PRON
ejpam-5851	510	2	√	√	VERB
ejpam-5851	510	3	c	c	NOUN
ejpam-5851	510	4	√	√	NUM
ejpam-5851	510	5	d	d	NOUN
ejpam-5851	510	6	.	.	PUNCT
ejpam-5851	511	1	substituting	substitute	VERB
ejpam-5851	511	2	these	these	DET
ejpam-5851	511	3	constants	constant	NOUN
ejpam-5851	511	4	into	into	ADP
ejpam-5851	511	5	equation	equation	NOUN
ejpam-5851	511	6	(	(	PUNCT
ejpam-5851	511	7	59	59	NUM
ejpam-5851	511	8	)	)	PUNCT
ejpam-5851	511	9	and	and	CCONJ
ejpam-5851	511	10	then	then	ADV
ejpam-5851	511	11	the	the	DET
ejpam-5851	511	12	result	result	NOUN
ejpam-5851	511	13	into	into	ADP
ejpam-5851	511	14	equation	equation	NOUN
ejpam-5851	511	15	(	(	PUNCT
ejpam-5851	511	16	12	12	NUM
ejpam-5851	511	17	)	)	PUNCT
ejpam-5851	511	18	,	,	PUNCT
ejpam-5851	511	19	we	we	PRON
ejpam-5851	511	20	have	have	VERB
ejpam-5851	511	21	λ2hb(σ	λ2hb(σ	NOUN
ejpam-5851	511	22	)	)	PUNCT
ejpam-5851	511	23	=	=	SYM
ejpam-5851	512	1	−	−	PROPN
ejpam-5851	512	2	ik	ik	PROPN
ejpam-5851	512	3	√	√	PROPN
ejpam-5851	512	4	aθ(2−	aθ(2−	PROPN
ejpam-5851	512	5	bθ	bθ	PROPN
ejpam-5851	512	6	)	)	PUNCT
ejpam-5851	513	1	+	+	CCONJ
ejpam-5851	513	2	ω1(bθ	ω1(bθ	NUM
ejpam-5851	513	3	−	−	PROPN
ejpam-5851	513	4	1)2	1)2	NUM
ejpam-5851	513	5	(	(	PUNCT
ejpam-5851	513	6	a22j2	a22j2	ADV
ejpam-5851	513	7	√	√	ADJ
ejpam-5851	513	8	bk2	bk2	NOUN
ejpam-5851	513	9	(	(	PUNCT
ejpam-5851	513	10	bω1	bω1	NOUN
ejpam-5851	513	11	−	−	PROPN
ejpam-5851	513	12	a	a	NOUN
ejpam-5851	513	13	)	)	PUNCT
ejpam-5851	513	14	sin	sin	NOUN
ejpam-5851	513	15	(	(	PUNCT
ejpam-5851	513	16	k	k	X
ejpam-5851	513	17	(	(	PUNCT
ejpam-5851	513	18	v6	v6	PROPN
ejpam-5851	513	19	−	−	PROPN
ejpam-5851	513	20	σ	σ	PROPN
ejpam-5851	513	21	√	√	PROPN
ejpam-5851	513	22	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	513	23	√	√	PROPN
ejpam-5851	513	24	2	2	NUM
ejpam-5851	513	25	√	√	NUM
ejpam-5851	513	26	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	513	27	)	)	PUNCT
ejpam-5851	513	28	)	)	PUNCT
ejpam-5851	513	29	)	)	PUNCT
ejpam-5851	513	30	)	)	PUNCT
ejpam-5851	514	1	√	√	ADV
ejpam-5851	514	2	2	2	NUM
ejpam-5851	515	1	√	√	NUM
ejpam-5851	515	2	c	c	NOUN
ejpam-5851	515	3	√	√	PROPN
ejpam-5851	515	4	d	d	NOUN
ejpam-5851	515	5	√	√	PROPN
ejpam-5851	515	6	−b2k4	−b2k4	PROPN
ejpam-5851	515	7	(	(	PUNCT
ejpam-5851	515	8	a−	a−	PROPN
ejpam-5851	515	9	bω1	bω1	NOUN
ejpam-5851	515	10	)	)	PUNCT
ejpam-5851	515	11	2	2	NUM
ejpam-5851	515	12	(	(	PUNCT
ejpam-5851	515	13	a23j2	a23j2	PROPN
ejpam-5851	515	14	cos	cos	PROPN
ejpam-5851	515	15	(	(	PUNCT
ejpam-5851	515	16	k	k	PROPN
ejpam-5851	515	17	(	(	PUNCT
ejpam-5851	515	18	v6	v6	PROPN
ejpam-5851	515	19	−	−	PROPN
ejpam-5851	515	20	σ	σ	PROPN
ejpam-5851	515	21	√	√	PROPN
ejpam-5851	515	22	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	515	23	√	√	PROPN
ejpam-5851	515	24	2	2	NUM
ejpam-5851	515	25	√	√	NUM
ejpam-5851	515	26	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	515	27	)	)	PUNCT
ejpam-5851	515	28	)	)	PUNCT
ejpam-5851	515	29	)	)	PUNCT
ejpam-5851	516	1	+	+	CCONJ
ejpam-5851	516	2	1	1	NUM
ejpam-5851	516	3	)	)	PUNCT
ejpam-5851	516	4	.	.	PUNCT
ejpam-5851	517	1	(	(	PUNCT
ejpam-5851	517	2	70	70	X
ejpam-5851	517	3	)	)	PUNCT
ejpam-5851	517	4	b.	b.	PROPN
ejpam-5851	517	5	ceesay	ceesay	PROPN
ejpam-5851	517	6	et	et	PROPN
ejpam-5851	517	7	al	al	PROPN
ejpam-5851	517	8	.	.	PUNCT
ejpam-5851	517	9	/	/	SYM
ejpam-5851	517	10	eur	eur	PROPN
ejpam-5851	517	11	.	.	PUNCT
ejpam-5851	518	1	j.	j.	PROPN
ejpam-5851	518	2	pure	pure	PROPN
ejpam-5851	518	3	appl	appl	PROPN
ejpam-5851	518	4	.	.	PROPN
ejpam-5851	518	5	math	math	PROPN
ejpam-5851	518	6	,	,	PUNCT
ejpam-5851	518	7	18	18	NUM
ejpam-5851	518	8	(	(	PUNCT
ejpam-5851	518	9	2	2	NUM
ejpam-5851	518	10	)	)	PUNCT
ejpam-5851	518	11	(	(	PUNCT
ejpam-5851	518	12	2025	2025	NUM
ejpam-5851	518	13	)	)	PUNCT
ejpam-5851	518	14	,	,	PUNCT
ejpam-5851	518	15	5851	5851	NUM
ejpam-5851	518	16	20	20	NUM
ejpam-5851	518	17	of	of	ADP
ejpam-5851	518	18	32	32	NUM
ejpam-5851	518	19	(	(	PUNCT
ejpam-5851	518	20	a	a	NOUN
ejpam-5851	518	21	)	)	PUNCT
ejpam-5851	518	22	(	(	PUNCT
ejpam-5851	518	23	b	b	X
ejpam-5851	518	24	)	)	PUNCT
ejpam-5851	518	25	(	(	PUNCT
ejpam-5851	518	26	c	c	X
ejpam-5851	518	27	)	)	PUNCT
ejpam-5851	518	28	figure	figure	NOUN
ejpam-5851	518	29	15	15	NUM
ejpam-5851	518	30	:	:	PUNCT
ejpam-5851	518	31	(	(	PUNCT
ejpam-5851	518	32	a	a	X
ejpam-5851	518	33	)	)	PUNCT
ejpam-5851	518	34	three	three	NUM
ejpam-5851	518	35	-	-	PUNCT
ejpam-5851	518	36	dimensional	dimensional	ADJ
ejpam-5851	518	37	plot	plot	NOUN
ejpam-5851	518	38	,	,	PUNCT
ejpam-5851	518	39	(	(	PUNCT
ejpam-5851	518	40	b	b	X
ejpam-5851	518	41	)	)	PUNCT
ejpam-5851	518	42	contour	contour	NOUN
ejpam-5851	518	43	plot	plot	NOUN
ejpam-5851	518	44	and	and	CCONJ
ejpam-5851	518	45	(	(	PUNCT
ejpam-5851	518	46	c	c	NOUN
ejpam-5851	518	47	)	)	PUNCT
ejpam-5851	518	48	density	density	NOUN
ejpam-5851	518	49	plot	plot	NOUN
ejpam-5851	518	50	corresponding	correspond	VERB
ejpam-5851	518	51	to	to	ADP
ejpam-5851	518	52	the	the	DET
ejpam-5851	518	53	function	function	NOUN
ejpam-5851	518	54	g1hb	g1hb	NOUN
ejpam-5851	518	55	versus	versus	ADP
ejpam-5851	518	56	x	x	PUNCT
ejpam-5851	518	57	and	and	CCONJ
ejpam-5851	518	58	t.	t.	NOUN
ejpam-5851	518	59	we	we	PRON
ejpam-5851	518	60	used	use	VERB
ejpam-5851	518	61	the	the	DET
ejpam-5851	518	62	parameters	parameter	NOUN
ejpam-5851	518	63	v2	v2	NOUN
ejpam-5851	518	64	=	=	SYM
ejpam-5851	518	65	0.1	0.1	NUM
ejpam-5851	518	66	,	,	PUNCT
ejpam-5851	518	67	v6	v6	NOUN
ejpam-5851	518	68	=	=	NOUN
ejpam-5851	518	69	0.1	0.1	NUM
ejpam-5851	518	70	,	,	PUNCT
ejpam-5851	518	71	j2	j2	PROPN
ejpam-5851	518	72	=	=	SYM
ejpam-5851	518	73	3.9	3.9	NUM
ejpam-5851	518	74	,	,	PUNCT
ejpam-5851	518	75	a	a	PRON
ejpam-5851	518	76	=	=	SYM
ejpam-5851	518	77	9.8	9.8	NUM
ejpam-5851	518	78	,	,	PUNCT
ejpam-5851	518	79	b	b	NOUN
ejpam-5851	518	80	=	=	SYM
ejpam-5851	518	81	0.1	0.1	NUM
ejpam-5851	518	82	,	,	PUNCT
ejpam-5851	518	83	c	c	NOUN
ejpam-5851	518	84	=	=	SYM
ejpam-5851	518	85	0.7	0.7	NUM
ejpam-5851	518	86	,	,	PUNCT
ejpam-5851	518	87	d	d	NOUN
ejpam-5851	518	88	=	=	SYM
ejpam-5851	518	89	1	1	NUM
ejpam-5851	518	90	,	,	PUNCT
ejpam-5851	518	91	k	k	PROPN
ejpam-5851	519	1	=	=	SYM
ejpam-5851	519	2	6.9	6.9	NUM
ejpam-5851	519	3	,	,	PUNCT
ejpam-5851	519	4	ω1	ω1	PROPN
ejpam-5851	519	5	=	=	SYM
ejpam-5851	519	6	0.1	0.1	NUM
ejpam-5851	519	7	and	and	CCONJ
ejpam-5851	519	8	θ	θ	NOUN
ejpam-5851	519	9	=	=	SYM
ejpam-5851	519	10	9.4	9.4	NUM
ejpam-5851	519	11	.	.	PUNCT
ejpam-5851	520	1	(	(	PUNCT
ejpam-5851	520	2	a	a	X
ejpam-5851	520	3	)	)	PUNCT
ejpam-5851	520	4	(	(	PUNCT
ejpam-5851	520	5	b	b	X
ejpam-5851	520	6	)	)	PUNCT
ejpam-5851	520	7	(	(	PUNCT
ejpam-5851	520	8	c	c	X
ejpam-5851	520	9	)	)	PUNCT
ejpam-5851	520	10	figure	figure	NOUN
ejpam-5851	520	11	16	16	NUM
ejpam-5851	520	12	:	:	PUNCT
ejpam-5851	520	13	(	(	PUNCT
ejpam-5851	520	14	a	a	X
ejpam-5851	520	15	)	)	PUNCT
ejpam-5851	520	16	three	three	NUM
ejpam-5851	520	17	-	-	PUNCT
ejpam-5851	520	18	dimensional	dimensional	ADJ
ejpam-5851	520	19	plot	plot	NOUN
ejpam-5851	520	20	,	,	PUNCT
ejpam-5851	520	21	(	(	PUNCT
ejpam-5851	520	22	b	b	X
ejpam-5851	520	23	)	)	PUNCT
ejpam-5851	520	24	contour	contour	NOUN
ejpam-5851	520	25	plot	plot	NOUN
ejpam-5851	520	26	and	and	CCONJ
ejpam-5851	520	27	(	(	PUNCT
ejpam-5851	520	28	c	c	NOUN
ejpam-5851	520	29	)	)	PUNCT
ejpam-5851	520	30	density	density	NOUN
ejpam-5851	520	31	plot	plot	NOUN
ejpam-5851	520	32	corresponding	correspond	VERB
ejpam-5851	520	33	to	to	ADP
ejpam-5851	520	34	the	the	DET
ejpam-5851	520	35	function	function	NOUN
ejpam-5851	520	36	h1hb	h1hb	NOUN
ejpam-5851	520	37	versus	versus	ADP
ejpam-5851	520	38	x	x	PUNCT
ejpam-5851	520	39	and	and	CCONJ
ejpam-5851	520	40	t.	t.	NOUN
ejpam-5851	520	41	we	we	PRON
ejpam-5851	520	42	used	use	VERB
ejpam-5851	520	43	the	the	DET
ejpam-5851	520	44	parameters	parameter	NOUN
ejpam-5851	520	45	v2	v2	NOUN
ejpam-5851	520	46	=	=	SYM
ejpam-5851	520	47	0.1	0.1	NUM
ejpam-5851	520	48	,	,	PUNCT
ejpam-5851	520	49	v6	v6	NOUN
ejpam-5851	520	50	=	=	NOUN
ejpam-5851	520	51	0.1	0.1	NUM
ejpam-5851	520	52	,	,	PUNCT
ejpam-5851	520	53	j2	j2	PROPN
ejpam-5851	520	54	=	=	SYM
ejpam-5851	520	55	3.9	3.9	NUM
ejpam-5851	520	56	,	,	PUNCT
ejpam-5851	520	57	a	a	PRON
ejpam-5851	520	58	=	=	SYM
ejpam-5851	520	59	9.8	9.8	NUM
ejpam-5851	520	60	,	,	PUNCT
ejpam-5851	521	1	b	b	NOUN
ejpam-5851	521	2	=	=	SYM
ejpam-5851	521	3	0.1	0.1	NUM
ejpam-5851	521	4	,	,	PUNCT
ejpam-5851	521	5	c	c	NOUN
ejpam-5851	521	6	=	=	SYM
ejpam-5851	521	7	0.7	0.7	NUM
ejpam-5851	521	8	,	,	PUNCT
ejpam-5851	521	9	d	d	NOUN
ejpam-5851	521	10	=	=	SYM
ejpam-5851	521	11	1	1	NUM
ejpam-5851	521	12	,	,	PUNCT
ejpam-5851	522	1	k	k	PROPN
ejpam-5851	522	2	=	=	SYM
ejpam-5851	522	3	6.9	6.9	NUM
ejpam-5851	522	4	,	,	PUNCT
ejpam-5851	522	5	ω1	ω1	PROPN
ejpam-5851	522	6	=	=	SYM
ejpam-5851	522	7	0.1	0.1	NUM
ejpam-5851	522	8	and	and	CCONJ
ejpam-5851	522	9	θ	θ	PROPN
ejpam-5851	522	10	=	=	SYM
ejpam-5851	522	11	9.4	9.4	NUM
ejpam-5851	522	12	.	.	PUNCT
ejpam-5851	523	1	substituting	substitute	VERB
ejpam-5851	523	2	equation	equation	NOUN
ejpam-5851	523	3	(	(	PUNCT
ejpam-5851	523	4	70	70	NUM
ejpam-5851	523	5	)	)	PUNCT
ejpam-5851	523	6	into	into	ADP
ejpam-5851	523	7	equation	equation	NOUN
ejpam-5851	523	8	(	(	PUNCT
ejpam-5851	523	9	10	10	NUM
ejpam-5851	523	10	)	)	PUNCT
ejpam-5851	523	11	gives	give	VERB
ejpam-5851	523	12	∆2hb(σ	∆2hb(σ	NOUN
ejpam-5851	523	13	)	)	PUNCT
ejpam-5851	523	14	=	=	SYM
ejpam-5851	524	1	−	−	PROPN
ejpam-5851	524	2	(	(	PUNCT
ejpam-5851	524	3	aθ(2−	aθ(2−	PROPN
ejpam-5851	524	4	bθ	bθ	PROPN
ejpam-5851	524	5	)	)	PUNCT
ejpam-5851	525	1	+	+	CCONJ
ejpam-5851	525	2	ω1(bθ	ω1(bθ	NUM
ejpam-5851	525	3	−	−	PROPN
ejpam-5851	525	4	1)2	1)2	NUM
ejpam-5851	525	5	)	)	PUNCT
ejpam-5851	525	6	(	(	PUNCT
ejpam-5851	525	7	a22j2	a22j2	ADV
ejpam-5851	525	8	√	√	ADJ
ejpam-5851	525	9	bk2	bk2	NOUN
ejpam-5851	525	10	(	(	PUNCT
ejpam-5851	525	11	bω1	bω1	NOUN
ejpam-5851	525	12	−	−	PROPN
ejpam-5851	525	13	a	a	NOUN
ejpam-5851	525	14	)	)	PUNCT
ejpam-5851	525	15	sin	sin	NOUN
ejpam-5851	525	16	(	(	PUNCT
ejpam-5851	525	17	k	k	X
ejpam-5851	525	18	(	(	PUNCT
ejpam-5851	525	19	v6	v6	PROPN
ejpam-5851	525	20	−	−	PROPN
ejpam-5851	525	21	σ	σ	PROPN
ejpam-5851	525	22	√	√	PROPN
ejpam-5851	525	23	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	525	24	√	√	PROPN
ejpam-5851	525	25	2	2	NUM
ejpam-5851	525	26	√	√	NUM
ejpam-5851	525	27	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	525	28	)	)	PUNCT
ejpam-5851	525	29	)	)	PUNCT
ejpam-5851	525	30	)	)	PUNCT
ejpam-5851	525	31	)	)	PUNCT
ejpam-5851	525	32	2	2	NUM
ejpam-5851	525	33	b2ck2	b2ck2	NOUN
ejpam-5851	525	34	(	(	PUNCT
ejpam-5851	525	35	bω1	bω1	INTJ
ejpam-5851	525	36	−	−	NOUN
ejpam-5851	525	37	a	a	NOUN
ejpam-5851	525	38	)	)	PUNCT
ejpam-5851	525	39	(	(	PUNCT
ejpam-5851	525	40	a23j2	a23j2	PROPN
ejpam-5851	525	41	cos	cos	PROPN
ejpam-5851	525	42	(	(	PUNCT
ejpam-5851	525	43	k	k	PROPN
ejpam-5851	525	44	(	(	PUNCT
ejpam-5851	525	45	v6	v6	PROPN
ejpam-5851	525	46	−	−	PROPN
ejpam-5851	525	47	σ	σ	PROPN
ejpam-5851	525	48	√	√	PROPN
ejpam-5851	525	49	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	525	50	√	√	PROPN
ejpam-5851	525	51	2	2	NUM
ejpam-5851	525	52	√	√	NUM
ejpam-5851	525	53	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	525	54	)	)	PUNCT
ejpam-5851	525	55	)	)	PUNCT
ejpam-5851	525	56	)	)	PUNCT
ejpam-5851	526	1	+	+	CCONJ
ejpam-5851	526	2	1	1	X
ejpam-5851	526	3	)	)	SYM
ejpam-5851	526	4	2	2	NUM
ejpam-5851	526	5	,	,	PUNCT
ejpam-5851	526	6	(	(	PUNCT
ejpam-5851	526	7	71	71	NUM
ejpam-5851	526	8	)	)	PUNCT
ejpam-5851	526	9	where	where	SCONJ
ejpam-5851	526	10	a22	a22	PROPN
ejpam-5851	526	11	=	=	SYM
ejpam-5851	526	12	j1	j1	PROPN
ejpam-5851	526	13	√	√	NUM
ejpam-5851	526	14	bk2	bk2	NOUN
ejpam-5851	526	15	(	(	PUNCT
ejpam-5851	526	16	a−	a−	PROPN
ejpam-5851	526	17	bω1	bω1	NOUN
ejpam-5851	526	18	)	)	PUNCT
ejpam-5851	526	19	exp	exp	NOUN
ejpam-5851	526	20	(	(	PUNCT
ejpam-5851	526	21	k	k	X
ejpam-5851	526	22	(	(	PUNCT
ejpam-5851	526	23	σ	σ	NOUN
ejpam-5851	526	24	√	√	PROPN
ejpam-5851	526	25	2ω1(bθ	2ω1(bθ	NUM
ejpam-5851	526	26	−	−	PROPN
ejpam-5851	527	1	1)2	1)2	NUM
ejpam-5851	527	2	−	−	NOUN
ejpam-5851	528	1	2aθ(bθ	2aθ(bθ	NUM
ejpam-5851	528	2	−	−	PROPN
ejpam-5851	528	3	2)√	2)√	NUM
ejpam-5851	528	4	bk2	bk2	NOUN
ejpam-5851	528	5	(	(	PUNCT
ejpam-5851	528	6	bω1	bω1	NOUN
ejpam-5851	528	7	−	−	NOUN
ejpam-5851	528	8	a	a	NOUN
ejpam-5851	528	9	)	)	PUNCT
ejpam-5851	528	10	+	+	CCONJ
ejpam-5851	528	11	v2	v2	NOUN
ejpam-5851	528	12	+	+	CCONJ
ejpam-5851	528	13	v4	v4	NOUN
ejpam-5851	528	14	)	)	PUNCT
ejpam-5851	528	15	)	)	PUNCT
ejpam-5851	529	1	+	+	CCONJ
ejpam-5851	529	2	exp	exp	NOUN
ejpam-5851	529	3	(	(	PUNCT
ejpam-5851	529	4	k	k	X
ejpam-5851	529	5	(	(	PUNCT
ejpam-5851	529	6	σ	σ	NOUN
ejpam-5851	529	7	√	√	PROPN
ejpam-5851	529	8	aθ(2−	aθ(2−	PROPN
ejpam-5851	529	9	bθ	bθ	PROPN
ejpam-5851	529	10	)	)	PUNCT
ejpam-5851	529	11	+	+	CCONJ
ejpam-5851	529	12	ω1(bθ	ω1(bθ	NUM
ejpam-5851	529	13	−	−	PROPN
ejpam-5851	529	14	1)2	1)2	NUM
ejpam-5851	529	15	√	√	NUM
ejpam-5851	529	16	2	2	NUM
ejpam-5851	529	17	√	√	NUM
ejpam-5851	529	18	bk2	bk2	NOUN
ejpam-5851	529	19	(	(	PUNCT
ejpam-5851	529	20	bω1	bω1	NOUN
ejpam-5851	529	21	−	−	NOUN
ejpam-5851	529	22	a	a	NOUN
ejpam-5851	529	23	)	)	PUNCT
ejpam-5851	529	24	+	+	CCONJ
ejpam-5851	529	25	v2	v2	NOUN
ejpam-5851	529	26	)	)	PUNCT
ejpam-5851	529	27	)	)	PUNCT
ejpam-5851	530	1	−	−	ADP
ejpam-5851	530	2	√	√	NUM
ejpam-5851	531	1	bk2	bk2	NOUN
ejpam-5851	531	2	(	(	PUNCT
ejpam-5851	531	3	a−	a−	PROPN
ejpam-5851	531	4	bω1	bω1	NOUN
ejpam-5851	531	5	)	)	PUNCT
ejpam-5851	531	6	(	(	PUNCT
ejpam-5851	531	7	72	72	NUM
ejpam-5851	531	8	)	)	PUNCT
ejpam-5851	531	9	and	and	CCONJ
ejpam-5851	531	10	a23	a23	PROPN
ejpam-5851	531	11	=	=	SYM
ejpam-5851	531	12	j1	j1	PROPN
ejpam-5851	531	13	exp	exp	NOUN
ejpam-5851	531	14	(	(	PUNCT
ejpam-5851	531	15	k	k	X
ejpam-5851	531	16	(	(	PUNCT
ejpam-5851	531	17	σ	σ	NOUN
ejpam-5851	531	18	√	√	PROPN
ejpam-5851	531	19	2ω1(bθ	2ω1(bθ	NUM
ejpam-5851	531	20	−	−	PROPN
ejpam-5851	532	1	1)2	1)2	NUM
ejpam-5851	532	2	−	−	NOUN
ejpam-5851	533	1	2aθ(bθ	2aθ(bθ	NUM
ejpam-5851	533	2	−	−	PROPN
ejpam-5851	533	3	2)√	2)√	NUM
ejpam-5851	533	4	bk2	bk2	NOUN
ejpam-5851	533	5	(	(	PUNCT
ejpam-5851	533	6	bω1	bω1	NOUN
ejpam-5851	533	7	−	−	NOUN
ejpam-5851	533	8	a	a	NOUN
ejpam-5851	533	9	)	)	PUNCT
ejpam-5851	533	10	+	+	CCONJ
ejpam-5851	533	11	v2	v2	NOUN
ejpam-5851	533	12	+	+	CCONJ
ejpam-5851	533	13	v4	v4	NOUN
ejpam-5851	533	14	)	)	PUNCT
ejpam-5851	533	15	)	)	PUNCT
ejpam-5851	534	1	+	+	CCONJ
ejpam-5851	534	2	exp	exp	NOUN
ejpam-5851	534	3	(	(	PUNCT
ejpam-5851	534	4	k	k	X
ejpam-5851	534	5	(	(	PUNCT
ejpam-5851	534	6	σ	σ	NOUN
ejpam-5851	534	7	√	√	PROPN
ejpam-5851	534	8	aθ(2−	aθ(2−	PROPN
ejpam-5851	534	9	bθ	bθ	PROPN
ejpam-5851	534	10	)	)	PUNCT
ejpam-5851	534	11	+	+	CCONJ
ejpam-5851	534	12	ω1(bθ	ω1(bθ	NUM
ejpam-5851	534	13	−	−	PROPN
ejpam-5851	534	14	1)2	1)2	NUM
ejpam-5851	534	15	√	√	NUM
ejpam-5851	534	16	2	2	NUM
ejpam-5851	534	17	√	√	NUM
ejpam-5851	534	18	bk2	bk2	NOUN
ejpam-5851	534	19	(	(	PUNCT
ejpam-5851	534	20	bω1	bω1	NOUN
ejpam-5851	534	21	−	−	NOUN
ejpam-5851	534	22	a	a	NOUN
ejpam-5851	534	23	)	)	PUNCT
ejpam-5851	534	24	+	+	CCONJ
ejpam-5851	534	25	v2	v2	NOUN
ejpam-5851	534	26	)	)	PUNCT
ejpam-5851	534	27	)	)	PUNCT
ejpam-5851	534	28	.	.	PUNCT
ejpam-5851	535	1	(	(	PUNCT
ejpam-5851	535	2	73	73	NUM
ejpam-5851	535	3	)	)	PUNCT
ejpam-5851	535	4	b.	b.	PROPN
ejpam-5851	535	5	ceesay	ceesay	PROPN
ejpam-5851	535	6	et	et	PROPN
ejpam-5851	535	7	al	al	PROPN
ejpam-5851	535	8	.	.	PUNCT
ejpam-5851	535	9	/	/	SYM
ejpam-5851	535	10	eur	eur	PROPN
ejpam-5851	535	11	.	.	PUNCT
ejpam-5851	536	1	j.	j.	PROPN
ejpam-5851	536	2	pure	pure	PROPN
ejpam-5851	536	3	appl	appl	PROPN
ejpam-5851	536	4	.	.	PROPN
ejpam-5851	536	5	math	math	PROPN
ejpam-5851	536	6	,	,	PUNCT
ejpam-5851	536	7	18	18	NUM
ejpam-5851	536	8	(	(	PUNCT
ejpam-5851	536	9	2	2	NUM
ejpam-5851	536	10	)	)	PUNCT
ejpam-5851	536	11	(	(	PUNCT
ejpam-5851	536	12	2025	2025	NUM
ejpam-5851	536	13	)	)	PUNCT
ejpam-5851	536	14	,	,	PUNCT
ejpam-5851	536	15	5851	5851	NUM
ejpam-5851	536	16	21	21	NUM
ejpam-5851	536	17	of	of	ADP
ejpam-5851	536	18	32	32	NUM
ejpam-5851	536	19	(	(	PUNCT
ejpam-5851	536	20	a	a	NOUN
ejpam-5851	536	21	)	)	PUNCT
ejpam-5851	536	22	(	(	PUNCT
ejpam-5851	536	23	b	b	X
ejpam-5851	536	24	)	)	PUNCT
ejpam-5851	536	25	(	(	PUNCT
ejpam-5851	536	26	c	c	X
ejpam-5851	536	27	)	)	PUNCT
ejpam-5851	536	28	figure	figure	NOUN
ejpam-5851	536	29	17	17	NUM
ejpam-5851	536	30	:	:	PUNCT
ejpam-5851	536	31	(	(	PUNCT
ejpam-5851	536	32	a	a	X
ejpam-5851	536	33	)	)	PUNCT
ejpam-5851	536	34	three	three	NUM
ejpam-5851	536	35	-	-	PUNCT
ejpam-5851	536	36	dimensional	dimensional	ADJ
ejpam-5851	536	37	plot	plot	NOUN
ejpam-5851	536	38	,	,	PUNCT
ejpam-5851	536	39	(	(	PUNCT
ejpam-5851	536	40	b	b	X
ejpam-5851	536	41	)	)	PUNCT
ejpam-5851	536	42	contour	contour	NOUN
ejpam-5851	536	43	plot	plot	NOUN
ejpam-5851	536	44	and	and	CCONJ
ejpam-5851	536	45	(	(	PUNCT
ejpam-5851	536	46	c	c	NOUN
ejpam-5851	536	47	)	)	PUNCT
ejpam-5851	536	48	density	density	NOUN
ejpam-5851	536	49	plot	plot	NOUN
ejpam-5851	536	50	corresponding	correspond	VERB
ejpam-5851	536	51	to	to	ADP
ejpam-5851	536	52	the	the	DET
ejpam-5851	536	53	function	function	NOUN
ejpam-5851	536	54	g2hb	g2hb	X
ejpam-5851	536	55	versus	versus	ADP
ejpam-5851	536	56	x	x	PUNCT
ejpam-5851	536	57	and	and	CCONJ
ejpam-5851	536	58	t.	t.	NOUN
ejpam-5851	536	59	we	we	PRON
ejpam-5851	536	60	used	use	VERB
ejpam-5851	536	61	the	the	DET
ejpam-5851	536	62	parameters	parameter	NOUN
ejpam-5851	536	63	v2	v2	PROPN
ejpam-5851	536	64	=	=	SYM
ejpam-5851	536	65	1.4	1.4	NUM
ejpam-5851	536	66	,	,	PUNCT
ejpam-5851	536	67	v4	v4	NOUN
ejpam-5851	536	68	=	=	SYM
ejpam-5851	536	69	0.6	0.6	NUM
ejpam-5851	536	70	,	,	PUNCT
ejpam-5851	536	71	v6	v6	NOUN
ejpam-5851	536	72	=	=	NOUN
ejpam-5851	536	73	7.7	7.7	NUM
ejpam-5851	536	74	,	,	PUNCT
ejpam-5851	536	75	j1	j1	PROPN
ejpam-5851	536	76	=	=	SYM
ejpam-5851	536	77	5.2	5.2	NUM
ejpam-5851	536	78	,	,	PUNCT
ejpam-5851	536	79	j2	j2	PROPN
ejpam-5851	536	80	=	=	SYM
ejpam-5851	536	81	8.1	8.1	NUM
ejpam-5851	536	82	,	,	PUNCT
ejpam-5851	536	83	a	a	DET
ejpam-5851	536	84	=	=	SYM
ejpam-5851	536	85	1.5	1.5	NUM
ejpam-5851	536	86	,	,	PUNCT
ejpam-5851	536	87	b	b	NOUN
ejpam-5851	536	88	=	=	SYM
ejpam-5851	536	89	2.7	2.7	NUM
ejpam-5851	536	90	,	,	PUNCT
ejpam-5851	536	91	c	c	NOUN
ejpam-5851	536	92	=	=	SYM
ejpam-5851	536	93	4.1	4.1	NUM
ejpam-5851	536	94	,	,	PUNCT
ejpam-5851	536	95	d	d	NOUN
ejpam-5851	536	96	=	=	SYM
ejpam-5851	536	97	1	1	NUM
ejpam-5851	536	98	,	,	PUNCT
ejpam-5851	536	99	k	k	NOUN
ejpam-5851	536	100	=	=	SYM
ejpam-5851	536	101	0.1	0.1	NUM
ejpam-5851	536	102	,	,	PUNCT
ejpam-5851	536	103	ω1	ω1	PROPN
ejpam-5851	536	104	=	=	PUNCT
ejpam-5851	536	105	0.2	0.2	NUM
ejpam-5851	536	106	and	and	CCONJ
ejpam-5851	536	107	θ	θ	PROPN
ejpam-5851	536	108	=	=	SYM
ejpam-5851	536	109	0.4	0.4	NUM
ejpam-5851	536	110	.	.	PUNCT
ejpam-5851	537	1	(	(	PUNCT
ejpam-5851	537	2	a	a	X
ejpam-5851	537	3	)	)	PUNCT
ejpam-5851	537	4	(	(	PUNCT
ejpam-5851	537	5	b	b	X
ejpam-5851	537	6	)	)	PUNCT
ejpam-5851	537	7	(	(	PUNCT
ejpam-5851	537	8	c	c	X
ejpam-5851	537	9	)	)	PUNCT
ejpam-5851	537	10	figure	figure	NOUN
ejpam-5851	537	11	18	18	NUM
ejpam-5851	537	12	:	:	PUNCT
ejpam-5851	537	13	(	(	PUNCT
ejpam-5851	537	14	a	a	X
ejpam-5851	537	15	)	)	PUNCT
ejpam-5851	537	16	three	three	NUM
ejpam-5851	537	17	-	-	PUNCT
ejpam-5851	537	18	dimensional	dimensional	ADJ
ejpam-5851	537	19	plot	plot	NOUN
ejpam-5851	537	20	,	,	PUNCT
ejpam-5851	537	21	(	(	PUNCT
ejpam-5851	537	22	b	b	X
ejpam-5851	537	23	)	)	PUNCT
ejpam-5851	537	24	contour	contour	NOUN
ejpam-5851	537	25	plot	plot	NOUN
ejpam-5851	537	26	and	and	CCONJ
ejpam-5851	537	27	(	(	PUNCT
ejpam-5851	537	28	c	c	NOUN
ejpam-5851	537	29	)	)	PUNCT
ejpam-5851	537	30	density	density	NOUN
ejpam-5851	537	31	plot	plot	NOUN
ejpam-5851	537	32	corresponding	correspond	VERB
ejpam-5851	537	33	to	to	ADP
ejpam-5851	537	34	the	the	DET
ejpam-5851	537	35	function	function	NOUN
ejpam-5851	537	36	h2hb	h2hb	X
ejpam-5851	537	37	versus	versus	ADP
ejpam-5851	537	38	x	x	PUNCT
ejpam-5851	537	39	and	and	CCONJ
ejpam-5851	537	40	t.	t.	NOUN
ejpam-5851	537	41	we	we	PRON
ejpam-5851	537	42	used	use	VERB
ejpam-5851	537	43	the	the	DET
ejpam-5851	537	44	parameters	parameter	NOUN
ejpam-5851	537	45	v2	v2	PROPN
ejpam-5851	537	46	=	=	SYM
ejpam-5851	537	47	1.4	1.4	NUM
ejpam-5851	537	48	,	,	PUNCT
ejpam-5851	537	49	v4	v4	NOUN
ejpam-5851	537	50	=	=	SYM
ejpam-5851	537	51	0.6	0.6	NUM
ejpam-5851	537	52	,	,	PUNCT
ejpam-5851	537	53	v6	v6	NOUN
ejpam-5851	537	54	=	=	NOUN
ejpam-5851	537	55	7.7	7.7	NUM
ejpam-5851	537	56	,	,	PUNCT
ejpam-5851	537	57	j1	j1	PROPN
ejpam-5851	537	58	=	=	SYM
ejpam-5851	537	59	5.2	5.2	NUM
ejpam-5851	537	60	,	,	PUNCT
ejpam-5851	537	61	j2	j2	PROPN
ejpam-5851	537	62	=	=	SYM
ejpam-5851	537	63	8.1	8.1	NUM
ejpam-5851	537	64	,	,	PUNCT
ejpam-5851	537	65	a	a	DET
ejpam-5851	537	66	=	=	SYM
ejpam-5851	537	67	1.5	1.5	NUM
ejpam-5851	537	68	,	,	PUNCT
ejpam-5851	538	1	b	b	NOUN
ejpam-5851	538	2	=	=	SYM
ejpam-5851	538	3	2.7	2.7	NUM
ejpam-5851	538	4	,	,	PUNCT
ejpam-5851	538	5	c	c	NOUN
ejpam-5851	538	6	=	=	SYM
ejpam-5851	538	7	4.1	4.1	NUM
ejpam-5851	538	8	,	,	PUNCT
ejpam-5851	538	9	d	d	NOUN
ejpam-5851	538	10	=	=	SYM
ejpam-5851	538	11	1	1	NUM
ejpam-5851	538	12	,	,	PUNCT
ejpam-5851	539	1	k	k	NOUN
ejpam-5851	539	2	=	=	SYM
ejpam-5851	539	3	0.1	0.1	NUM
ejpam-5851	539	4	,	,	PUNCT
ejpam-5851	539	5	ω1	ω1	PROPN
ejpam-5851	539	6	=	=	PUNCT
ejpam-5851	539	7	0.2	0.2	NUM
ejpam-5851	539	8	and	and	CCONJ
ejpam-5851	539	9	θ	θ	PROPN
ejpam-5851	539	10	=	=	SYM
ejpam-5851	539	11	0.4	0.4	NUM
ejpam-5851	539	12	.	.	PUNCT
ejpam-5851	540	1	using	use	VERB
ejpam-5851	540	2	equations	equation	NOUN
ejpam-5851	540	3	(	(	PUNCT
ejpam-5851	540	4	70	70	NUM
ejpam-5851	540	5	)	)	PUNCT
ejpam-5851	540	6	and	and	CCONJ
ejpam-5851	540	7	(	(	PUNCT
ejpam-5851	540	8	71	71	NUM
ejpam-5851	540	9	)	)	PUNCT
ejpam-5851	540	10	into	into	ADP
ejpam-5851	540	11	equation	equation	NOUN
ejpam-5851	540	12	(	(	PUNCT
ejpam-5851	540	13	5	5	X
ejpam-5851	540	14	)	)	PUNCT
ejpam-5851	540	15	gives	give	VERB
ejpam-5851	540	16	the	the	DET
ejpam-5851	540	17	hb	hb	PROPN
ejpam-5851	540	18	wave	wave	NOUN
ejpam-5851	540	19	solution	solution	NOUN
ejpam-5851	540	20	for	for	ADP
ejpam-5851	540	21	equation	equation	NOUN
ejpam-5851	540	22	(	(	PUNCT
ejpam-5851	540	23	1	1	NUM
ejpam-5851	540	24	):	):	PUNCT
ejpam-5851	540	25	g2hb(x	g2hb(x	PROPN
ejpam-5851	540	26	,	,	PUNCT
ejpam-5851	540	27	t	t	PROPN
ejpam-5851	540	28	)	)	PUNCT
ejpam-5851	540	29	=	=	PUNCT
ejpam-5851	541	1	−	−	PROPN
ejpam-5851	541	2	ik	ik	PROPN
ejpam-5851	541	3	√	√	PROPN
ejpam-5851	541	4	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	541	5	exp	exp	PROPN
ejpam-5851	541	6	(	(	PUNCT
ejpam-5851	541	7	i(θ(2at−bx)+ω1(t−bθt	i(θ(2at−bx)+ω1(t−bθt	PROPN
ejpam-5851	541	8	)	)	PUNCT
ejpam-5851	541	9	)	)	PUNCT
ejpam-5851	541	10	b	b	X
ejpam-5851	541	11	)	)	PUNCT
ejpam-5851	541	12	(	(	PUNCT
ejpam-5851	541	13	a24j2	a24j2	NOUN
ejpam-5851	541	14	√	√	NUM
ejpam-5851	541	15	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	541	16	)	)	PUNCT
ejpam-5851	541	17	sin	sin	NOUN
ejpam-5851	541	18	(	(	PUNCT
ejpam-5851	541	19	k	k	X
ejpam-5851	541	20	(	(	PUNCT
ejpam-5851	541	21	(	(	PUNCT
ejpam-5851	541	22	tω1−x	tω1−x	NOUN
ejpam-5851	541	23	)	)	PUNCT
ejpam-5851	541	24	√	√	PROPN
ejpam-5851	541	25	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	541	26	√	√	PROPN
ejpam-5851	541	27	2	2	NUM
ejpam-5851	541	28	√	√	NUM
ejpam-5851	541	29	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	541	30	)	)	PUNCT
ejpam-5851	542	1	+	+	NUM
ejpam-5851	542	2	v6	v6	NOUN
ejpam-5851	542	3	)	)	PUNCT
ejpam-5851	542	4	)	)	PUNCT
ejpam-5851	542	5	)	)	PUNCT
ejpam-5851	543	1	√	√	ADV
ejpam-5851	543	2	2	2	NUM
ejpam-5851	544	1	√	√	NUM
ejpam-5851	544	2	c	c	NOUN
ejpam-5851	545	1	√	√	PROPN
ejpam-5851	545	2	d	d	NOUN
ejpam-5851	545	3	√	√	PROPN
ejpam-5851	545	4	−b2k4(a−bω1)2	−b2k4(a−bω1)2	PROPN
ejpam-5851	545	5	(	(	PUNCT
ejpam-5851	545	6	a25j2	a25j2	PROPN
ejpam-5851	545	7	cos	cos	PROPN
ejpam-5851	545	8	(	(	PUNCT
ejpam-5851	545	9	k	k	X
ejpam-5851	545	10	(	(	PUNCT
ejpam-5851	545	11	(	(	PUNCT
ejpam-5851	545	12	tω1−x	tω1−x	NOUN
ejpam-5851	545	13	)	)	PUNCT
ejpam-5851	545	14	√	√	PROPN
ejpam-5851	545	15	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	545	16	√	√	PROPN
ejpam-5851	545	17	2	2	NUM
ejpam-5851	545	18	√	√	NUM
ejpam-5851	545	19	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	545	20	)	)	PUNCT
ejpam-5851	546	1	+	+	NUM
ejpam-5851	546	2	v6	v6	NOUN
ejpam-5851	546	3	)	)	PUNCT
ejpam-5851	546	4	)	)	PUNCT
ejpam-5851	547	1	+1	+1	NOUN
ejpam-5851	547	2	)	)	PUNCT
ejpam-5851	547	3	,	,	PUNCT
ejpam-5851	547	4	(	(	PUNCT
ejpam-5851	547	5	74	74	X
ejpam-5851	547	6	)	)	PUNCT
ejpam-5851	547	7	h2hb(x	h2hb(x	PROPN
ejpam-5851	547	8	,	,	PUNCT
ejpam-5851	547	9	t	t	PROPN
ejpam-5851	547	10	)	)	PUNCT
ejpam-5851	547	11	=	=	SYM
ejpam-5851	548	1	−	−	PROPN
ejpam-5851	548	2	(	(	PUNCT
ejpam-5851	548	3	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	548	4	)	)	PUNCT
ejpam-5851	548	5	(	(	PUNCT
ejpam-5851	548	6	a24j2	a24j2	NOUN
ejpam-5851	548	7	√	√	NUM
ejpam-5851	548	8	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	548	9	)	)	PUNCT
ejpam-5851	548	10	sin	sin	NOUN
ejpam-5851	548	11	(	(	PUNCT
ejpam-5851	548	12	k	k	X
ejpam-5851	548	13	(	(	PUNCT
ejpam-5851	548	14	(	(	PUNCT
ejpam-5851	548	15	tω1−x	tω1−x	NOUN
ejpam-5851	548	16	)	)	PUNCT
ejpam-5851	548	17	√	√	PROPN
ejpam-5851	548	18	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	548	19	√	√	PROPN
ejpam-5851	548	20	2	2	NUM
ejpam-5851	548	21	√	√	NUM
ejpam-5851	548	22	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	548	23	)	)	PUNCT
ejpam-5851	549	1	+	+	NUM
ejpam-5851	549	2	v6	v6	NOUN
ejpam-5851	549	3	)	)	PUNCT
ejpam-5851	549	4	)	)	PUNCT
ejpam-5851	549	5	)	)	PUNCT
ejpam-5851	549	6	2	2	NUM
ejpam-5851	549	7	b2ck2(bω1−a	b2ck2(bω1−a	NOUN
ejpam-5851	549	8	)	)	PUNCT
ejpam-5851	549	9	(	(	PUNCT
ejpam-5851	549	10	a25j2	a25j2	PROPN
ejpam-5851	549	11	cos	cos	PROPN
ejpam-5851	549	12	(	(	PUNCT
ejpam-5851	549	13	k	k	X
ejpam-5851	549	14	(	(	PUNCT
ejpam-5851	549	15	(	(	PUNCT
ejpam-5851	549	16	tω1−x	tω1−x	NOUN
ejpam-5851	549	17	)	)	PUNCT
ejpam-5851	549	18	√	√	PROPN
ejpam-5851	549	19	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	549	20	√	√	PROPN
ejpam-5851	549	21	2	2	NUM
ejpam-5851	549	22	√	√	NUM
ejpam-5851	549	23	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	549	24	)	)	PUNCT
ejpam-5851	550	1	+	+	NUM
ejpam-5851	550	2	v6	v6	NOUN
ejpam-5851	550	3	)	)	PUNCT
ejpam-5851	550	4	)	)	PUNCT
ejpam-5851	551	1	+1	+1	X
ejpam-5851	551	2	)	)	PUNCT
ejpam-5851	551	3	2	2	NUM
ejpam-5851	551	4	,	,	PUNCT
ejpam-5851	551	5	(	(	PUNCT
ejpam-5851	551	6	75	75	NUM
ejpam-5851	551	7	)	)	PUNCT
ejpam-5851	551	8	where	where	SCONJ
ejpam-5851	551	9	a24	a24	PROPN
ejpam-5851	551	10	=	=	SYM
ejpam-5851	551	11	j1	j1	PROPN
ejpam-5851	551	12	√	√	NUM
ejpam-5851	551	13	bk2	bk2	NOUN
ejpam-5851	551	14	(	(	PUNCT
ejpam-5851	551	15	a−	a−	PROPN
ejpam-5851	551	16	bω1	bω1	NOUN
ejpam-5851	551	17	)	)	PUNCT
ejpam-5851	551	18	exp	exp	NOUN
ejpam-5851	551	19	(	(	PUNCT
ejpam-5851	551	20	k	k	X
ejpam-5851	551	21	(	(	PUNCT
ejpam-5851	551	22	(	(	PUNCT
ejpam-5851	551	23	x−	x−	PROPN
ejpam-5851	551	24	tω1	tω1	PROPN
ejpam-5851	551	25	)	)	PUNCT
ejpam-5851	551	26	√	√	NOUN
ejpam-5851	551	27	2ω1(bθ	2ω1(bθ	NUM
ejpam-5851	552	1	−	−	PROPN
ejpam-5851	553	1	1)2	1)2	NUM
ejpam-5851	553	2	−	−	NOUN
ejpam-5851	554	1	2aθ(bθ	2aθ(bθ	NUM
ejpam-5851	554	2	−	−	PROPN
ejpam-5851	554	3	2)√	2)√	NUM
ejpam-5851	554	4	bk2	bk2	NOUN
ejpam-5851	554	5	(	(	PUNCT
ejpam-5851	554	6	bω1	bω1	NOUN
ejpam-5851	554	7	−	−	NOUN
ejpam-5851	554	8	a	a	NOUN
ejpam-5851	554	9	)	)	PUNCT
ejpam-5851	554	10	+	+	CCONJ
ejpam-5851	554	11	v2	v2	NOUN
ejpam-5851	554	12	+	+	CCONJ
ejpam-5851	554	13	v4	v4	NOUN
ejpam-5851	554	14	)	)	PUNCT
ejpam-5851	554	15	)	)	PUNCT
ejpam-5851	555	1	+	+	CCONJ
ejpam-5851	555	2	exp	exp	NOUN
ejpam-5851	555	3	(	(	PUNCT
ejpam-5851	555	4	k	k	X
ejpam-5851	555	5	(	(	PUNCT
ejpam-5851	555	6	(	(	PUNCT
ejpam-5851	555	7	x−	x−	PROPN
ejpam-5851	555	8	tω1	tω1	PROPN
ejpam-5851	555	9	)	)	PUNCT
ejpam-5851	555	10	√	√	PROPN
ejpam-5851	556	1	aθ(2−	aθ(2−	PROPN
ejpam-5851	556	2	bθ	bθ	PROPN
ejpam-5851	556	3	)	)	PUNCT
ejpam-5851	557	1	+	+	CCONJ
ejpam-5851	558	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	558	2	−	−	PROPN
ejpam-5851	559	1	1)2	1)2	NUM
ejpam-5851	559	2	√	√	NUM
ejpam-5851	559	3	2	2	NUM
ejpam-5851	559	4	√	√	NUM
ejpam-5851	559	5	bk2	bk2	NOUN
ejpam-5851	559	6	(	(	PUNCT
ejpam-5851	559	7	bω1	bω1	NOUN
ejpam-5851	559	8	−	−	NOUN
ejpam-5851	559	9	a	a	NOUN
ejpam-5851	559	10	)	)	PUNCT
ejpam-5851	560	1	+	+	CCONJ
ejpam-5851	560	2	v2	v2	NOUN
ejpam-5851	560	3	)	)	PUNCT
ejpam-5851	560	4	)	)	PUNCT
ejpam-5851	561	1	−	−	ADP
ejpam-5851	561	2	√	√	NUM
ejpam-5851	562	1	bk2	bk2	NOUN
ejpam-5851	562	2	(	(	PUNCT
ejpam-5851	562	3	a−	a−	PROPN
ejpam-5851	562	4	bω1	bω1	NOUN
ejpam-5851	562	5	)	)	PUNCT
ejpam-5851	562	6	(	(	PUNCT
ejpam-5851	562	7	76	76	NUM
ejpam-5851	562	8	)	)	PUNCT
ejpam-5851	562	9	b.	b.	PROPN
ejpam-5851	563	1	ceesay	ceesay	PROPN
ejpam-5851	563	2	et	et	PROPN
ejpam-5851	563	3	al	al	PROPN
ejpam-5851	563	4	.	.	PUNCT
ejpam-5851	563	5	/	/	SYM
ejpam-5851	563	6	eur	eur	PROPN
ejpam-5851	563	7	.	.	PUNCT
ejpam-5851	564	1	j.	j.	PROPN
ejpam-5851	564	2	pure	pure	PROPN
ejpam-5851	564	3	appl	appl	PROPN
ejpam-5851	564	4	.	.	PROPN
ejpam-5851	564	5	math	math	PROPN
ejpam-5851	564	6	,	,	PUNCT
ejpam-5851	564	7	18	18	NUM
ejpam-5851	564	8	(	(	PUNCT
ejpam-5851	564	9	2	2	NUM
ejpam-5851	564	10	)	)	PUNCT
ejpam-5851	564	11	(	(	PUNCT
ejpam-5851	564	12	2025	2025	NUM
ejpam-5851	564	13	)	)	PUNCT
ejpam-5851	564	14	,	,	PUNCT
ejpam-5851	564	15	5851	5851	NUM
ejpam-5851	564	16	22	22	NUM
ejpam-5851	564	17	of	of	ADP
ejpam-5851	564	18	32	32	NUM
ejpam-5851	564	19	(	(	PUNCT
ejpam-5851	564	20	a	a	NOUN
ejpam-5851	564	21	)	)	PUNCT
ejpam-5851	564	22	(	(	PUNCT
ejpam-5851	564	23	b	b	X
ejpam-5851	564	24	)	)	PUNCT
ejpam-5851	564	25	(	(	PUNCT
ejpam-5851	564	26	c	c	X
ejpam-5851	564	27	)	)	PUNCT
ejpam-5851	564	28	figure	figure	NOUN
ejpam-5851	564	29	19	19	NUM
ejpam-5851	564	30	:	:	PUNCT
ejpam-5851	564	31	(	(	PUNCT
ejpam-5851	564	32	a	a	X
ejpam-5851	564	33	)	)	PUNCT
ejpam-5851	564	34	three	three	NUM
ejpam-5851	564	35	-	-	PUNCT
ejpam-5851	564	36	dimensional	dimensional	ADJ
ejpam-5851	564	37	plot	plot	NOUN
ejpam-5851	564	38	,	,	PUNCT
ejpam-5851	564	39	(	(	PUNCT
ejpam-5851	564	40	b	b	X
ejpam-5851	564	41	)	)	PUNCT
ejpam-5851	564	42	contour	contour	NOUN
ejpam-5851	564	43	plot	plot	NOUN
ejpam-5851	564	44	and	and	CCONJ
ejpam-5851	564	45	(	(	PUNCT
ejpam-5851	564	46	c	c	NOUN
ejpam-5851	564	47	)	)	PUNCT
ejpam-5851	564	48	density	density	NOUN
ejpam-5851	564	49	plot	plot	NOUN
ejpam-5851	564	50	corresponding	correspond	VERB
ejpam-5851	564	51	to	to	ADP
ejpam-5851	564	52	the	the	DET
ejpam-5851	564	53	function	function	NOUN
ejpam-5851	564	54	g1mi	g1mi	PUNCT
ejpam-5851	564	55	versus	versus	X
ejpam-5851	564	56	x	x	PUNCT
ejpam-5851	564	57	and	and	CCONJ
ejpam-5851	564	58	t.	t.	NOUN
ejpam-5851	564	59	we	we	PRON
ejpam-5851	564	60	used	use	VERB
ejpam-5851	564	61	the	the	DET
ejpam-5851	564	62	parameters	parameter	NOUN
ejpam-5851	564	63	v2	v2	PROPN
ejpam-5851	564	64	=	=	SYM
ejpam-5851	564	65	0.4	0.4	NUM
ejpam-5851	564	66	,	,	PUNCT
ejpam-5851	564	67	v4	v4	NOUN
ejpam-5851	564	68	=	=	SYM
ejpam-5851	564	69	2.4	2.4	NUM
ejpam-5851	564	70	,	,	PUNCT
ejpam-5851	564	71	v6	v6	NOUN
ejpam-5851	564	72	=	=	PUNCT
ejpam-5851	564	73	0.5	0.5	NUM
ejpam-5851	564	74	,	,	PUNCT
ejpam-5851	564	75	j1	j1	PROPN
ejpam-5851	564	76	=	=	SYM
ejpam-5851	564	77	1.6	1.6	NUM
ejpam-5851	564	78	,	,	PUNCT
ejpam-5851	564	79	j3	j3	PROPN
ejpam-5851	564	80	=	=	SYM
ejpam-5851	564	81	5.9	5.9	NUM
ejpam-5851	564	82	,	,	PUNCT
ejpam-5851	564	83	j4	j4	PROPN
ejpam-5851	564	84	=	=	SYM
ejpam-5851	564	85	1.2	1.2	NUM
ejpam-5851	564	86	,	,	PUNCT
ejpam-5851	564	87	a	a	DET
ejpam-5851	564	88	=	=	SYM
ejpam-5851	564	89	0.5	0.5	NUM
ejpam-5851	564	90	,	,	PUNCT
ejpam-5851	564	91	b	b	NOUN
ejpam-5851	564	92	=	=	SYM
ejpam-5851	564	93	1.2	1.2	NUM
ejpam-5851	564	94	,	,	PUNCT
ejpam-5851	564	95	c	c	NOUN
ejpam-5851	564	96	=	=	SYM
ejpam-5851	564	97	6.8	6.8	NUM
ejpam-5851	564	98	,	,	PUNCT
ejpam-5851	564	99	d	d	NOUN
ejpam-5851	564	100	=	=	SYM
ejpam-5851	564	101	1	1	NUM
ejpam-5851	564	102	,	,	PUNCT
ejpam-5851	564	103	k	k	PROPN
ejpam-5851	564	104	=	=	SYM
ejpam-5851	564	105	9.4	9.4	NUM
ejpam-5851	564	106	,	,	PUNCT
ejpam-5851	564	107	ω1	ω1	PROPN
ejpam-5851	564	108	=	=	PUNCT
ejpam-5851	564	109	0.3	0.3	NUM
ejpam-5851	564	110	and	and	CCONJ
ejpam-5851	564	111	θ	θ	NOUN
ejpam-5851	564	112	=	=	SYM
ejpam-5851	564	113	1.1	1.1	NUM
ejpam-5851	564	114	.	.	PUNCT
ejpam-5851	565	1	(	(	PUNCT
ejpam-5851	565	2	a	a	X
ejpam-5851	565	3	)	)	PUNCT
ejpam-5851	565	4	(	(	PUNCT
ejpam-5851	565	5	b	b	X
ejpam-5851	565	6	)	)	PUNCT
ejpam-5851	565	7	(	(	PUNCT
ejpam-5851	565	8	c	c	X
ejpam-5851	565	9	)	)	PUNCT
ejpam-5851	565	10	figure	figure	NOUN
ejpam-5851	565	11	20	20	NUM
ejpam-5851	565	12	:	:	PUNCT
ejpam-5851	565	13	(	(	PUNCT
ejpam-5851	565	14	a	a	X
ejpam-5851	565	15	)	)	PUNCT
ejpam-5851	565	16	three	three	NUM
ejpam-5851	565	17	-	-	PUNCT
ejpam-5851	565	18	dimensional	dimensional	ADJ
ejpam-5851	565	19	plot	plot	NOUN
ejpam-5851	565	20	,	,	PUNCT
ejpam-5851	565	21	(	(	PUNCT
ejpam-5851	565	22	b	b	X
ejpam-5851	565	23	)	)	PUNCT
ejpam-5851	565	24	contour	contour	NOUN
ejpam-5851	565	25	plot	plot	NOUN
ejpam-5851	565	26	and	and	CCONJ
ejpam-5851	565	27	(	(	PUNCT
ejpam-5851	565	28	c	c	NOUN
ejpam-5851	565	29	)	)	PUNCT
ejpam-5851	565	30	density	density	NOUN
ejpam-5851	565	31	plot	plot	NOUN
ejpam-5851	565	32	corresponding	correspond	VERB
ejpam-5851	565	33	to	to	ADP
ejpam-5851	565	34	the	the	DET
ejpam-5851	565	35	function	function	NOUN
ejpam-5851	565	36	h1mi	h1mi	PUNCT
ejpam-5851	565	37	versus	versus	X
ejpam-5851	565	38	x	x	PUNCT
ejpam-5851	565	39	and	and	CCONJ
ejpam-5851	565	40	t.	t.	NOUN
ejpam-5851	565	41	we	we	PRON
ejpam-5851	565	42	used	use	VERB
ejpam-5851	565	43	the	the	DET
ejpam-5851	565	44	parameters	parameter	NOUN
ejpam-5851	566	1	v2	v2	PROPN
ejpam-5851	566	2	=	=	SYM
ejpam-5851	566	3	0.4	0.4	NUM
ejpam-5851	566	4	,	,	PUNCT
ejpam-5851	566	5	v4	v4	NOUN
ejpam-5851	566	6	=	=	SYM
ejpam-5851	566	7	2.4	2.4	NUM
ejpam-5851	566	8	,	,	PUNCT
ejpam-5851	566	9	v6	v6	NOUN
ejpam-5851	566	10	=	=	PUNCT
ejpam-5851	566	11	0.5	0.5	NUM
ejpam-5851	566	12	,	,	PUNCT
ejpam-5851	566	13	j1	j1	PROPN
ejpam-5851	566	14	=	=	SYM
ejpam-5851	566	15	1.6	1.6	NUM
ejpam-5851	566	16	,	,	PUNCT
ejpam-5851	566	17	j3	j3	PROPN
ejpam-5851	566	18	=	=	SYM
ejpam-5851	566	19	5.9	5.9	NUM
ejpam-5851	566	20	,	,	PUNCT
ejpam-5851	566	21	j4	j4	PROPN
ejpam-5851	566	22	=	=	SYM
ejpam-5851	566	23	1.2	1.2	NUM
ejpam-5851	566	24	,	,	PUNCT
ejpam-5851	566	25	a	a	DET
ejpam-5851	566	26	=	=	SYM
ejpam-5851	566	27	0.5	0.5	NUM
ejpam-5851	566	28	,	,	PUNCT
ejpam-5851	566	29	b	b	NOUN
ejpam-5851	566	30	=	=	SYM
ejpam-5851	566	31	1.2	1.2	NUM
ejpam-5851	566	32	,	,	PUNCT
ejpam-5851	566	33	c	c	NOUN
ejpam-5851	566	34	=	=	SYM
ejpam-5851	566	35	6.8	6.8	NUM
ejpam-5851	566	36	,	,	PUNCT
ejpam-5851	566	37	d	d	NOUN
ejpam-5851	566	38	=	=	SYM
ejpam-5851	566	39	1	1	NUM
ejpam-5851	566	40	,	,	PUNCT
ejpam-5851	566	41	k	k	PROPN
ejpam-5851	566	42	=	=	SYM
ejpam-5851	566	43	9.4	9.4	NUM
ejpam-5851	566	44	,	,	PUNCT
ejpam-5851	566	45	ω1	ω1	PROPN
ejpam-5851	566	46	=	=	PUNCT
ejpam-5851	566	47	0.3	0.3	NUM
ejpam-5851	566	48	and	and	CCONJ
ejpam-5851	566	49	θ	θ	NOUN
ejpam-5851	566	50	=	=	SYM
ejpam-5851	566	51	1.1	1.1	NUM
ejpam-5851	566	52	.	.	PUNCT
ejpam-5851	567	1	and	and	CCONJ
ejpam-5851	567	2	a25	a25	PROPN
ejpam-5851	567	3	=	=	SYM
ejpam-5851	567	4	j1	j1	PROPN
ejpam-5851	567	5	exp	exp	NOUN
ejpam-5851	567	6	(	(	PUNCT
ejpam-5851	567	7	k	k	X
ejpam-5851	567	8	(	(	PUNCT
ejpam-5851	567	9	(	(	PUNCT
ejpam-5851	567	10	x−	x−	PROPN
ejpam-5851	567	11	tω1	tω1	PROPN
ejpam-5851	567	12	)	)	PUNCT
ejpam-5851	567	13	√	√	NOUN
ejpam-5851	567	14	2ω1(bθ	2ω1(bθ	NUM
ejpam-5851	568	1	−	−	PROPN
ejpam-5851	569	1	1)2	1)2	NUM
ejpam-5851	569	2	−	−	NOUN
ejpam-5851	570	1	2aθ(bθ	2aθ(bθ	NUM
ejpam-5851	570	2	−	−	PROPN
ejpam-5851	570	3	2)√	2)√	NUM
ejpam-5851	570	4	bk2	bk2	NOUN
ejpam-5851	570	5	(	(	PUNCT
ejpam-5851	570	6	bω1	bω1	NOUN
ejpam-5851	570	7	−	−	NOUN
ejpam-5851	570	8	a	a	NOUN
ejpam-5851	570	9	)	)	PUNCT
ejpam-5851	570	10	+	+	CCONJ
ejpam-5851	570	11	v2	v2	NOUN
ejpam-5851	570	12	+	+	CCONJ
ejpam-5851	570	13	v4	v4	NOUN
ejpam-5851	570	14	)	)	PUNCT
ejpam-5851	570	15	)	)	PUNCT
ejpam-5851	571	1	+	+	CCONJ
ejpam-5851	571	2	exp	exp	NOUN
ejpam-5851	571	3	(	(	PUNCT
ejpam-5851	571	4	k	k	X
ejpam-5851	571	5	(	(	PUNCT
ejpam-5851	571	6	(	(	PUNCT
ejpam-5851	571	7	x−	x−	PROPN
ejpam-5851	571	8	tω1	tω1	PROPN
ejpam-5851	571	9	)	)	PUNCT
ejpam-5851	571	10	√	√	PROPN
ejpam-5851	572	1	aθ(2−	aθ(2−	PROPN
ejpam-5851	572	2	bθ	bθ	PROPN
ejpam-5851	572	3	)	)	PUNCT
ejpam-5851	573	1	+	+	CCONJ
ejpam-5851	574	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	574	2	−	−	PROPN
ejpam-5851	575	1	1)2	1)2	NUM
ejpam-5851	575	2	√	√	NUM
ejpam-5851	575	3	2	2	NUM
ejpam-5851	575	4	√	√	NUM
ejpam-5851	575	5	bk2	bk2	NOUN
ejpam-5851	575	6	(	(	PUNCT
ejpam-5851	575	7	bω1	bω1	NOUN
ejpam-5851	575	8	−	−	NOUN
ejpam-5851	575	9	a	a	NOUN
ejpam-5851	575	10	)	)	PUNCT
ejpam-5851	576	1	+	+	CCONJ
ejpam-5851	576	2	v2	v2	NOUN
ejpam-5851	576	3	)	)	PUNCT
ejpam-5851	576	4	)	)	PUNCT
ejpam-5851	576	5	.	.	PUNCT
ejpam-5851	577	1	(	(	PUNCT
ejpam-5851	577	2	77	77	X
ejpam-5851	577	3	)	)	PUNCT
ejpam-5851	577	4	figures	figure	NOUN
ejpam-5851	577	5	15	15	NUM
ejpam-5851	577	6	and	and	CCONJ
ejpam-5851	577	7	16	16	NUM
ejpam-5851	577	8	portray	portray	VERB
ejpam-5851	577	9	periodic	periodic	ADJ
ejpam-5851	577	10	homoclinic	homoclinic	ADJ
ejpam-5851	577	11	breather	breather	NOUN
ejpam-5851	577	12	wave	wave	NOUN
ejpam-5851	577	13	,	,	PUNCT
ejpam-5851	577	14	while	while	SCONJ
ejpam-5851	577	15	figures	figure	NOUN
ejpam-5851	577	16	17	17	NUM
ejpam-5851	577	17	and	and	CCONJ
ejpam-5851	577	18	18	18	NUM
ejpam-5851	577	19	show	show	NOUN
ejpam-5851	577	20	multiple	multiple	ADJ
ejpam-5851	577	21	homoclinic	homoclinic	ADJ
ejpam-5851	577	22	breather	breather	NOUN
ejpam-5851	577	23	waves	wave	NOUN
ejpam-5851	577	24	.	.	PUNCT
ejpam-5851	578	1	in	in	ADP
ejpam-5851	578	2	particular	particular	ADJ
ejpam-5851	578	3	,	,	PUNCT
ejpam-5851	578	4	figure	figure	VERB
ejpam-5851	578	5	15	15	NUM
ejpam-5851	578	6	depicts	depict	VERB
ejpam-5851	578	7	the	the	DET
ejpam-5851	578	8	solution	solution	NOUN
ejpam-5851	578	9	g1hb(x	g1hb(x	PROPN
ejpam-5851	578	10	,	,	PUNCT
ejpam-5851	578	11	t	t	PROPN
ejpam-5851	578	12	)	)	PUNCT
ejpam-5851	578	13	corresponding	correspond	VERB
ejpam-5851	578	14	to	to	ADP
ejpam-5851	578	15	equation	equation	NOUN
ejpam-5851	578	16	(	(	PUNCT
ejpam-5851	578	17	66	66	NUM
ejpam-5851	578	18	)	)	PUNCT
ejpam-5851	578	19	for	for	SCONJ
ejpam-5851	578	20	the	the	DET
ejpam-5851	578	21	parameter	parameter	NOUN
ejpam-5851	578	22	values	value	VERB
ejpam-5851	578	23	v2	v2	NOUN
ejpam-5851	578	24	=	=	SYM
ejpam-5851	578	25	0.1	0.1	NUM
ejpam-5851	578	26	,	,	PUNCT
ejpam-5851	578	27	v6	v6	NOUN
ejpam-5851	578	28	=	=	NOUN
ejpam-5851	578	29	0.1	0.1	NUM
ejpam-5851	578	30	,	,	PUNCT
ejpam-5851	578	31	j2	j2	PROPN
ejpam-5851	578	32	=	=	SYM
ejpam-5851	578	33	3.9	3.9	NUM
ejpam-5851	578	34	,	,	PUNCT
ejpam-5851	578	35	a	a	PRON
ejpam-5851	578	36	=	=	SYM
ejpam-5851	578	37	9.8	9.8	NUM
ejpam-5851	578	38	,	,	PUNCT
ejpam-5851	578	39	b	b	NOUN
ejpam-5851	578	40	=	=	SYM
ejpam-5851	578	41	0.1	0.1	NUM
ejpam-5851	578	42	,	,	PUNCT
ejpam-5851	579	1	c	c	NOUN
ejpam-5851	579	2	=	=	SYM
ejpam-5851	579	3	0.7	0.7	NUM
ejpam-5851	579	4	,	,	PUNCT
ejpam-5851	579	5	d	d	NOUN
ejpam-5851	579	6	=	=	SYM
ejpam-5851	579	7	1	1	NUM
ejpam-5851	579	8	,	,	PUNCT
ejpam-5851	580	1	k	k	PROPN
ejpam-5851	580	2	=	=	SYM
ejpam-5851	580	3	6.9	6.9	NUM
ejpam-5851	580	4	,	,	PUNCT
ejpam-5851	580	5	ω1	ω1	PROPN
ejpam-5851	580	6	=	=	SYM
ejpam-5851	580	7	0.1	0.1	NUM
ejpam-5851	580	8	and	and	CCONJ
ejpam-5851	580	9	θ	θ	PROPN
ejpam-5851	580	10	=	=	SYM
ejpam-5851	580	11	9.4	9.4	NUM
ejpam-5851	580	12	.	.	PUNCT
ejpam-5851	581	1	figure	figure	NOUN
ejpam-5851	581	2	16	16	NUM
ejpam-5851	581	3	shows	show	VERB
ejpam-5851	581	4	the	the	DET
ejpam-5851	581	5	solution	solution	NOUN
ejpam-5851	581	6	h1hb(x	h1hb(x	PROPN
ejpam-5851	581	7	,	,	PUNCT
ejpam-5851	581	8	t	t	PROPN
ejpam-5851	581	9	)	)	PUNCT
ejpam-5851	581	10	obtained	obtain	VERB
ejpam-5851	581	11	from	from	ADP
ejpam-5851	581	12	equation	equation	NOUN
ejpam-5851	581	13	(	(	PUNCT
ejpam-5851	581	14	67	67	NUM
ejpam-5851	581	15	)	)	PUNCT
ejpam-5851	581	16	for	for	ADP
ejpam-5851	581	17	the	the	DET
ejpam-5851	581	18	same	same	ADJ
ejpam-5851	581	19	choice	choice	NOUN
ejpam-5851	581	20	of	of	ADP
ejpam-5851	581	21	parameters	parameter	NOUN
ejpam-5851	581	22	as	as	ADP
ejpam-5851	581	23	in	in	ADP
ejpam-5851	581	24	figure	figure	NOUN
ejpam-5851	581	25	15	15	NUM
ejpam-5851	581	26	.	.	PUNCT
ejpam-5851	582	1	in	in	ADP
ejpam-5851	582	2	turn	turn	NOUN
ejpam-5851	582	3	,	,	PUNCT
ejpam-5851	582	4	figure	figure	VERB
ejpam-5851	582	5	17	17	NUM
ejpam-5851	582	6	shows	show	VERB
ejpam-5851	582	7	the	the	DET
ejpam-5851	582	8	solution	solution	NOUN
ejpam-5851	582	9	g2hb(x	g2hb(x	PROPN
ejpam-5851	582	10	,	,	PUNCT
ejpam-5851	582	11	t	t	PROPN
ejpam-5851	582	12	)	)	PUNCT
ejpam-5851	582	13	from	from	ADP
ejpam-5851	582	14	equation	equation	NOUN
ejpam-5851	582	15	(	(	PUNCT
ejpam-5851	582	16	74	74	NUM
ejpam-5851	582	17	)	)	PUNCT
ejpam-5851	582	18	for	for	ADP
ejpam-5851	582	19	the	the	DET
ejpam-5851	582	20	parameter	parameter	NOUN
ejpam-5851	582	21	values	value	VERB
ejpam-5851	582	22	v2	v2	PROPN
ejpam-5851	582	23	=	=	SYM
ejpam-5851	582	24	1.4	1.4	NUM
ejpam-5851	582	25	,	,	PUNCT
ejpam-5851	582	26	v4	v4	NOUN
ejpam-5851	582	27	=	=	SYM
ejpam-5851	582	28	0.6	0.6	NUM
ejpam-5851	582	29	,	,	PUNCT
ejpam-5851	582	30	v6	v6	NOUN
ejpam-5851	582	31	=	=	NOUN
ejpam-5851	582	32	7.7	7.7	NUM
ejpam-5851	582	33	,	,	PUNCT
ejpam-5851	582	34	j1	j1	PROPN
ejpam-5851	582	35	=	=	SYM
ejpam-5851	582	36	5.2	5.2	NUM
ejpam-5851	582	37	,	,	PUNCT
ejpam-5851	582	38	j2	j2	PROPN
ejpam-5851	582	39	=	=	SYM
ejpam-5851	582	40	8.1	8.1	NUM
ejpam-5851	582	41	,	,	PUNCT
ejpam-5851	582	42	a	a	DET
ejpam-5851	582	43	=	=	SYM
ejpam-5851	582	44	1.5	1.5	NUM
ejpam-5851	582	45	,	,	PUNCT
ejpam-5851	582	46	b	b	NOUN
ejpam-5851	582	47	=	=	SYM
ejpam-5851	582	48	2.7	2.7	NUM
ejpam-5851	582	49	,	,	PUNCT
ejpam-5851	582	50	c	c	NOUN
ejpam-5851	582	51	=	=	SYM
ejpam-5851	582	52	4.1	4.1	NUM
ejpam-5851	582	53	,	,	PUNCT
ejpam-5851	582	54	d	d	NOUN
ejpam-5851	582	55	=	=	SYM
ejpam-5851	582	56	1	1	NUM
ejpam-5851	582	57	,	,	PUNCT
ejpam-5851	582	58	k	k	NOUN
ejpam-5851	582	59	=	=	SYM
ejpam-5851	582	60	0.1	0.1	NUM
ejpam-5851	582	61	,	,	PUNCT
ejpam-5851	582	62	ω1	ω1	PROPN
ejpam-5851	582	63	=	=	PUNCT
ejpam-5851	582	64	0.2	0.2	NUM
ejpam-5851	582	65	and	and	CCONJ
ejpam-5851	582	66	θ	θ	PROPN
ejpam-5851	582	67	=	=	SYM
ejpam-5851	582	68	0.4	0.4	NUM
ejpam-5851	582	69	.	.	PUNCT
ejpam-5851	583	1	figure	figure	NOUN
ejpam-5851	583	2	(	(	PUNCT
ejpam-5851	583	3	18	18	NUM
ejpam-5851	583	4	)	)	PUNCT
ejpam-5851	583	5	)	)	PUNCT
ejpam-5851	583	6	is	be	AUX
ejpam-5851	583	7	the	the	DET
ejpam-5851	583	8	solution	solution	NOUN
ejpam-5851	583	9	h2hb(x	h2hb(x	PROPN
ejpam-5851	583	10	,	,	PUNCT
ejpam-5851	583	11	t	t	NOUN
ejpam-5851	583	12	)	)	PUNCT
ejpam-5851	583	13	corresponding	correspond	VERB
ejpam-5851	583	14	to	to	ADP
ejpam-5851	583	15	equation	equation	NOUN
ejpam-5851	583	16	(	(	PUNCT
ejpam-5851	583	17	75	75	NUM
ejpam-5851	583	18	)	)	PUNCT
ejpam-5851	583	19	for	for	ADP
ejpam-5851	583	20	the	the	DET
ejpam-5851	583	21	same	same	ADJ
ejpam-5851	583	22	choice	choice	NOUN
ejpam-5851	583	23	of	of	ADP
ejpam-5851	583	24	parameter	parameter	NOUN
ejpam-5851	583	25	values	value	NOUN
ejpam-5851	583	26	as	as	ADP
ejpam-5851	583	27	figure	figure	NOUN
ejpam-5851	583	28	17	17	NUM
ejpam-5851	583	29	.	.	PUNCT
ejpam-5851	584	1	b.	b.	PROPN
ejpam-5851	584	2	ceesay	ceesay	PROPN
ejpam-5851	584	3	et	et	PROPN
ejpam-5851	584	4	al	al	PROPN
ejpam-5851	584	5	.	.	PUNCT
ejpam-5851	584	6	/	/	SYM
ejpam-5851	584	7	eur	eur	PROPN
ejpam-5851	584	8	.	.	PUNCT
ejpam-5851	585	1	j.	j.	PROPN
ejpam-5851	585	2	pure	pure	PROPN
ejpam-5851	585	3	appl	appl	PROPN
ejpam-5851	585	4	.	.	PROPN
ejpam-5851	585	5	math	math	PROPN
ejpam-5851	585	6	,	,	PUNCT
ejpam-5851	585	7	18	18	NUM
ejpam-5851	585	8	(	(	PUNCT
ejpam-5851	585	9	2	2	NUM
ejpam-5851	585	10	)	)	PUNCT
ejpam-5851	585	11	(	(	PUNCT
ejpam-5851	585	12	2025	2025	NUM
ejpam-5851	585	13	)	)	PUNCT
ejpam-5851	585	14	,	,	PUNCT
ejpam-5851	585	15	5851	5851	NUM
ejpam-5851	585	16	23	23	NUM
ejpam-5851	585	17	of	of	ADP
ejpam-5851	585	18	32	32	NUM
ejpam-5851	585	19	4.6	4.6	NUM
ejpam-5851	585	20	.	.	PUNCT
ejpam-5851	586	1	mixed	mixed	ADJ
ejpam-5851	586	2	waves	wave	NOUN
ejpam-5851	586	3	(	(	PUNCT
ejpam-5851	586	4	mi	mi	NOUN
ejpam-5851	586	5	)	)	PUNCT
ejpam-5851	586	6	this	this	DET
ejpam-5851	586	7	pattern	pattern	NOUN
ejpam-5851	586	8	of	of	ADP
ejpam-5851	586	9	waves	wave	NOUN
ejpam-5851	586	10	is	be	AUX
ejpam-5851	586	11	derived	derive	VERB
ejpam-5851	586	12	by	by	ADP
ejpam-5851	586	13	using	use	VERB
ejpam-5851	586	14	(	(	PUNCT
ejpam-5851	586	15	see	see	VERB
ejpam-5851	586	16	[	[	X
ejpam-5851	586	17	55	55	NUM
ejpam-5851	586	18	]	]	SYM
ejpam-5851	586	19	)	)	PUNCT
ejpam-5851	586	20	φ(σ	φ(σ	NUM
ejpam-5851	586	21	)	)	PUNCT
ejpam-5851	586	22	=	=	SYM
ejpam-5851	586	23	j1	j1	PROPN
ejpam-5851	586	24	exp	exp	NOUN
ejpam-5851	586	25	(	(	PUNCT
ejpam-5851	586	26	k	k	X
ejpam-5851	586	27	(	(	PUNCT
ejpam-5851	586	28	σv1	σv1	NOUN
ejpam-5851	586	29	+	+	CCONJ
ejpam-5851	586	30	v2	v2	NOUN
ejpam-5851	586	31	)	)	PUNCT
ejpam-5851	586	32	)	)	PUNCT
ejpam-5851	587	1	+	+	CCONJ
ejpam-5851	587	2	j2	j2	PROPN
ejpam-5851	587	3	exp	exp	NOUN
ejpam-5851	587	4	(	(	PUNCT
ejpam-5851	587	5	−k	−k	PROPN
ejpam-5851	587	6	(	(	PUNCT
ejpam-5851	587	7	σv1	σv1	NOUN
ejpam-5851	587	8	+	+	CCONJ
ejpam-5851	587	9	v2	v2	NOUN
ejpam-5851	587	10	)	)	PUNCT
ejpam-5851	587	11	)	)	PUNCT
ejpam-5851	588	1	+	+	CCONJ
ejpam-5851	588	2	j3	j3	PROPN
ejpam-5851	588	3	sin	sin	NOUN
ejpam-5851	588	4	(	(	PUNCT
ejpam-5851	588	5	k	k	X
ejpam-5851	588	6	(	(	PUNCT
ejpam-5851	588	7	σv3	σv3	NOUN
ejpam-5851	588	8	+	+	CCONJ
ejpam-5851	588	9	v4	v4	NOUN
ejpam-5851	588	10	)	)	PUNCT
ejpam-5851	588	11	)	)	PUNCT
ejpam-5851	589	1	+	+	CCONJ
ejpam-5851	589	2	j4	j4	PROPN
ejpam-5851	589	3	sinh	sinh	NOUN
ejpam-5851	589	4	(	(	PUNCT
ejpam-5851	589	5	k	k	X
ejpam-5851	589	6	(	(	PUNCT
ejpam-5851	589	7	σv5	σv5	NOUN
ejpam-5851	589	8	+	+	X
ejpam-5851	589	9	v6	v6	NOUN
ejpam-5851	589	10	)	)	PUNCT
ejpam-5851	589	11	)	)	PUNCT
ejpam-5851	589	12	.	.	PUNCT
ejpam-5851	590	1	(	(	PUNCT
ejpam-5851	590	2	78	78	NUM
ejpam-5851	590	3	)	)	PUNCT
ejpam-5851	590	4	by	by	ADP
ejpam-5851	590	5	substituting	substitute	VERB
ejpam-5851	590	6	equation	equation	NOUN
ejpam-5851	590	7	(	(	PUNCT
ejpam-5851	590	8	78	78	NUM
ejpam-5851	590	9	)	)	PUNCT
ejpam-5851	590	10	and	and	CCONJ
ejpam-5851	590	11	its	its	PRON
ejpam-5851	590	12	first	first	ADJ
ejpam-5851	590	13	three	three	NUM
ejpam-5851	590	14	derivatives	derivative	NOUN
ejpam-5851	590	15	into	into	ADP
ejpam-5851	590	16	equation	equation	NOUN
ejpam-5851	590	17	(	(	PUNCT
ejpam-5851	590	18	13	13	NUM
ejpam-5851	590	19	)	)	PUNCT
ejpam-5851	590	20	,	,	PUNCT
ejpam-5851	590	21	and	and	CCONJ
ejpam-5851	590	22	proceeding	proceed	VERB
ejpam-5851	590	23	as	as	ADP
ejpam-5851	590	24	in	in	ADP
ejpam-5851	590	25	the	the	DET
ejpam-5851	590	26	previous	previous	ADJ
ejpam-5851	590	27	sections	section	NOUN
ejpam-5851	590	28	,	,	PUNCT
ejpam-5851	590	29	we	we	PRON
ejpam-5851	590	30	obtain	obtain	VERB
ejpam-5851	590	31	the	the	DET
ejpam-5851	590	32	following	follow	VERB
ejpam-5851	590	33	sets	set	NOUN
ejpam-5851	590	34	of	of	ADP
ejpam-5851	590	35	constant	constant	ADJ
ejpam-5851	590	36	values	value	NOUN
ejpam-5851	590	37	:	:	PUNCT
ejpam-5851	590	38	family	family	NOUN
ejpam-5851	590	39	1	1	NUM
ejpam-5851	590	40	.	.	PUNCT
ejpam-5851	591	1	j2	j2	PROPN
ejpam-5851	591	2	=	=	SYM
ejpam-5851	591	3	0	0	PROPN
ejpam-5851	591	4	,	,	PUNCT
ejpam-5851	591	5	v1	v1	NOUN
ejpam-5851	591	6	=	=	SYM
ejpam-5851	591	7	√	√	PROPN
ejpam-5851	591	8	−abθ2	−abθ2	NOUN
ejpam-5851	591	9	+	+	CCONJ
ejpam-5851	592	1	2aθ	2aθ	NOUN
ejpam-5851	593	1	+	+	CCONJ
ejpam-5851	593	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	593	3	−	−	PROPN
ejpam-5851	593	4	2bθω1	2bθω1	NUM
ejpam-5851	593	5	+	+	CCONJ
ejpam-5851	593	6	ω1√	ω1√	VERB
ejpam-5851	593	7	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	593	8	−	−	PROPN
ejpam-5851	593	9	2abk2	2abk2	NUM
ejpam-5851	593	10	,	,	PUNCT
ejpam-5851	593	11	v3	v3	PROPN
ejpam-5851	593	12	=	=	PUNCT
ejpam-5851	593	13	−	−	PROPN
ejpam-5851	593	14	√	√	INTJ
ejpam-5851	593	15	−abθ2	−abθ2	NOUN
ejpam-5851	593	16	+	+	CCONJ
ejpam-5851	593	17	2aθ	2aθ	NOUN
ejpam-5851	594	1	+	+	CCONJ
ejpam-5851	594	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	594	3	−	−	PROPN
ejpam-5851	594	4	2bθω1	2bθω1	NUM
ejpam-5851	594	5	+	+	CCONJ
ejpam-5851	594	6	ω1√	ω1√	PROPN
ejpam-5851	594	7	2	2	NUM
ejpam-5851	594	8	√	√	NOUN
ejpam-5851	594	9	abk2	abk2	NOUN
ejpam-5851	594	10	−	−	NOUN
ejpam-5851	594	11	b2k2ω1	b2k2ω1	NOUN
ejpam-5851	594	12	,	,	PUNCT
ejpam-5851	594	13	v5	v5	PROPN
ejpam-5851	594	14	=	=	SYM
ejpam-5851	594	15	√	√	PROPN
ejpam-5851	594	16	−abθ2	−abθ2	NOUN
ejpam-5851	594	17	+	+	CCONJ
ejpam-5851	594	18	2aθ	2aθ	NOUN
ejpam-5851	595	1	+	+	CCONJ
ejpam-5851	595	2	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	595	3	−	−	PROPN
ejpam-5851	595	4	2bθω1	2bθω1	NUM
ejpam-5851	595	5	+	+	CCONJ
ejpam-5851	595	6	ω1√	ω1√	VERB
ejpam-5851	595	7	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	595	8	−	−	PROPN
ejpam-5851	595	9	2abk2	2abk2	NUM
ejpam-5851	595	10	,	,	PUNCT
ejpam-5851	595	11	r	r	NOUN
ejpam-5851	595	12	=	=	PUNCT
ejpam-5851	595	13	i	i	PRON
ejpam-5851	595	14	√	√	VERB
ejpam-5851	595	15	c	c	VERB
ejpam-5851	595	16	√	√	NUM
ejpam-5851	595	17	d	d	NOUN
ejpam-5851	595	18	.	.	PUNCT
ejpam-5851	596	1	substituting	substitute	VERB
ejpam-5851	596	2	them	they	PRON
ejpam-5851	596	3	into	into	ADP
ejpam-5851	596	4	equation	equation	NOUN
ejpam-5851	596	5	(	(	PUNCT
ejpam-5851	596	6	78	78	NUM
ejpam-5851	596	7	)	)	PUNCT
ejpam-5851	596	8	and	and	CCONJ
ejpam-5851	596	9	then	then	ADV
ejpam-5851	596	10	the	the	DET
ejpam-5851	596	11	outcome	outcome	NOUN
ejpam-5851	596	12	into	into	ADP
ejpam-5851	596	13	equation	equation	NOUN
ejpam-5851	596	14	(	(	PUNCT
ejpam-5851	596	15	12	12	NUM
ejpam-5851	596	16	)	)	PUNCT
ejpam-5851	596	17	,	,	PUNCT
ejpam-5851	596	18	we	we	PRON
ejpam-5851	596	19	obtain	obtain	VERB
ejpam-5851	596	20	λ1mi(σ	λ1mi(σ	NOUN
ejpam-5851	596	21	)	)	PUNCT
ejpam-5851	597	1	=	=	SYM
ejpam-5851	597	2	ik	ik	PROPN
ejpam-5851	597	3	√	√	PROPN
ejpam-5851	597	4	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	PROPN
ejpam-5851	597	5	(	(	PUNCT
ejpam-5851	597	6	a26	a26	PROPN
ejpam-5851	597	7	√	√	PROPN
ejpam-5851	597	8	bk2(a−bω1)−j3	bk2(a−bω1)−j3	NOUN
ejpam-5851	597	9	√	√	NUM
ejpam-5851	597	10	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	597	11	)	)	PUNCT
ejpam-5851	597	12	cos	cos	PROPN
ejpam-5851	598	1	(	(	PUNCT
ejpam-5851	598	2	k	k	X
ejpam-5851	598	3	(	(	PUNCT
ejpam-5851	598	4	v4−	v4−	PROPN
ejpam-5851	598	5	σ	σ	PROPN
ejpam-5851	598	6	√	√	PROPN
ejpam-5851	598	7	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	ADJ
ejpam-5851	598	8	√	√	PROPN
ejpam-5851	598	9	2	2	NUM
ejpam-5851	598	10	√	√	NUM
ejpam-5851	598	11	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	598	12	)	)	PUNCT
ejpam-5851	598	13	)	)	PUNCT
ejpam-5851	598	14	)	)	PUNCT
ejpam-5851	598	15	)	)	PUNCT
ejpam-5851	598	16	√	√	ADV
ejpam-5851	598	17	2	2	NUM
ejpam-5851	598	18	√	√	NUM
ejpam-5851	598	19	c	c	NOUN
ejpam-5851	598	20	√	√	PROPN
ejpam-5851	598	21	d	d	NOUN
ejpam-5851	598	22	√	√	PROPN
ejpam-5851	598	23	−b2k4(a−bω1)2	−b2k4(a−bω1)2	PROPN
ejpam-5851	598	24	(	(	PUNCT
ejpam-5851	598	25	j4	j4	PROPN
ejpam-5851	598	26	sinh	sinh	PROPN
ejpam-5851	598	27	(	(	PUNCT
ejpam-5851	598	28	k	k	PROPN
ejpam-5851	598	29	(	(	PUNCT
ejpam-5851	598	30	σ	σ	PROPN
ejpam-5851	598	31	√	√	PROPN
ejpam-5851	598	32	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	598	33	√	√	PROPN
ejpam-5851	598	34	2	2	NUM
ejpam-5851	598	35	√	√	NUM
ejpam-5851	598	36	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	598	37	)	)	PUNCT
ejpam-5851	599	1	+	+	NUM
ejpam-5851	599	2	v6	v6	NOUN
ejpam-5851	599	3	)	)	PUNCT
ejpam-5851	599	4	)	)	PUNCT
ejpam-5851	600	1	+	+	NOUN
ejpam-5851	600	2	a27	a27	NOUN
ejpam-5851	600	3	)	)	PUNCT
ejpam-5851	600	4	.	.	PUNCT
ejpam-5851	601	1	(	(	PUNCT
ejpam-5851	601	2	79	79	X
ejpam-5851	601	3	)	)	PUNCT
ejpam-5851	601	4	putting	put	VERB
ejpam-5851	601	5	equation	equation	NOUN
ejpam-5851	601	6	(	(	PUNCT
ejpam-5851	601	7	79	79	NUM
ejpam-5851	601	8	)	)	PUNCT
ejpam-5851	601	9	into	into	ADP
ejpam-5851	601	10	equation	equation	NOUN
ejpam-5851	601	11	(	(	PUNCT
ejpam-5851	601	12	10	10	NUM
ejpam-5851	601	13	)	)	PUNCT
ejpam-5851	601	14	gives	give	VERB
ejpam-5851	601	15	∆1mi(σ	∆1mi(σ	NUM
ejpam-5851	601	16	)	)	PUNCT
ejpam-5851	602	1	=	=	SYM
ejpam-5851	603	1	−	−	PROPN
ejpam-5851	603	2	(	(	PUNCT
ejpam-5851	603	3	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	603	4	)	)	PUNCT
ejpam-5851	603	5	(	(	PUNCT
ejpam-5851	603	6	a26	a26	PROPN
ejpam-5851	603	7	√	√	PROPN
ejpam-5851	603	8	bk2(a−bω1)−j3	bk2(a−bω1)−j3	NOUN
ejpam-5851	603	9	√	√	NUM
ejpam-5851	603	10	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	603	11	)	)	PUNCT
ejpam-5851	604	1	cos	cos	PROPN
ejpam-5851	604	2	(	(	PUNCT
ejpam-5851	604	3	k	k	X
ejpam-5851	604	4	(	(	PUNCT
ejpam-5851	604	5	v4−	v4−	PROPN
ejpam-5851	604	6	σ	σ	PROPN
ejpam-5851	604	7	√	√	PROPN
ejpam-5851	604	8	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	ADJ
ejpam-5851	604	9	√	√	PROPN
ejpam-5851	604	10	2	2	NUM
ejpam-5851	604	11	√	√	NUM
ejpam-5851	604	12	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	604	13	)	)	PUNCT
ejpam-5851	604	14	)	)	PUNCT
ejpam-5851	604	15	)	)	PUNCT
ejpam-5851	604	16	)	)	PUNCT
ejpam-5851	604	17	2	2	NUM
ejpam-5851	604	18	b2ck2(bω1−a	b2ck2(bω1−a	NOUN
ejpam-5851	604	19	)	)	PUNCT
ejpam-5851	604	20	(	(	PUNCT
ejpam-5851	604	21	j4	j4	PROPN
ejpam-5851	604	22	sinh	sinh	PROPN
ejpam-5851	604	23	(	(	PUNCT
ejpam-5851	604	24	k	k	PROPN
ejpam-5851	604	25	(	(	PUNCT
ejpam-5851	604	26	σ	σ	PROPN
ejpam-5851	604	27	√	√	PROPN
ejpam-5851	604	28	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	604	29	√	√	PROPN
ejpam-5851	604	30	2	2	NUM
ejpam-5851	604	31	√	√	NUM
ejpam-5851	604	32	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	604	33	)	)	PUNCT
ejpam-5851	605	1	+	+	NUM
ejpam-5851	605	2	v6	v6	NOUN
ejpam-5851	605	3	)	)	PUNCT
ejpam-5851	605	4	)	)	PUNCT
ejpam-5851	606	1	+	+	NOUN
ejpam-5851	606	2	a27	a27	NOUN
ejpam-5851	606	3	)	)	PUNCT
ejpam-5851	606	4	2	2	NUM
ejpam-5851	606	5	,	,	PUNCT
ejpam-5851	606	6	(	(	PUNCT
ejpam-5851	606	7	80	80	NUM
ejpam-5851	606	8	)	)	PUNCT
ejpam-5851	606	9	where	where	SCONJ
ejpam-5851	606	10	a26	a26	PROPN
ejpam-5851	606	11	=	=	PROPN
ejpam-5851	606	12	j1	j1	PROPN
ejpam-5851	606	13	exp	exp	NOUN
ejpam-5851	606	14	(	(	PUNCT
ejpam-5851	606	15	k	k	X
ejpam-5851	606	16	(	(	PUNCT
ejpam-5851	606	17	σ	σ	NOUN
ejpam-5851	606	18	√	√	PROPN
ejpam-5851	606	19	aθ(2−	aθ(2−	PROPN
ejpam-5851	606	20	bθ	bθ	PROPN
ejpam-5851	606	21	)	)	PUNCT
ejpam-5851	606	22	+	+	CCONJ
ejpam-5851	606	23	ω1(bθ	ω1(bθ	NUM
ejpam-5851	606	24	−	−	PROPN
ejpam-5851	606	25	1)2	1)2	NUM
ejpam-5851	606	26	√	√	NUM
ejpam-5851	606	27	2	2	NUM
ejpam-5851	606	28	√	√	NUM
ejpam-5851	606	29	bk2	bk2	NOUN
ejpam-5851	606	30	(	(	PUNCT
ejpam-5851	606	31	bω1	bω1	NOUN
ejpam-5851	606	32	−	−	NOUN
ejpam-5851	606	33	a	a	NOUN
ejpam-5851	606	34	)	)	PUNCT
ejpam-5851	606	35	+	+	CCONJ
ejpam-5851	606	36	v2	v2	NOUN
ejpam-5851	606	37	)	)	PUNCT
ejpam-5851	606	38	)	)	PUNCT
ejpam-5851	607	1	+	+	CCONJ
ejpam-5851	607	2	j4	j4	PROPN
ejpam-5851	607	3	cosh	cosh	NOUN
ejpam-5851	607	4	(	(	PUNCT
ejpam-5851	607	5	k	k	X
ejpam-5851	607	6	(	(	PUNCT
ejpam-5851	607	7	σ	σ	NOUN
ejpam-5851	607	8	√	√	PROPN
ejpam-5851	607	9	aθ(2−	aθ(2−	PROPN
ejpam-5851	607	10	bθ	bθ	PROPN
ejpam-5851	607	11	)	)	PUNCT
ejpam-5851	607	12	+	+	CCONJ
ejpam-5851	607	13	ω1(bθ	ω1(bθ	NUM
ejpam-5851	607	14	−	−	PROPN
ejpam-5851	607	15	1)2	1)2	NUM
ejpam-5851	607	16	√	√	NUM
ejpam-5851	607	17	2	2	NUM
ejpam-5851	607	18	√	√	NUM
ejpam-5851	607	19	bk2	bk2	NOUN
ejpam-5851	607	20	(	(	PUNCT
ejpam-5851	607	21	bω1	bω1	NOUN
ejpam-5851	607	22	−	−	NOUN
ejpam-5851	607	23	a	a	NOUN
ejpam-5851	607	24	)	)	PUNCT
ejpam-5851	607	25	+	+	NUM
ejpam-5851	607	26	v6	v6	NOUN
ejpam-5851	607	27	)	)	PUNCT
ejpam-5851	607	28	)	)	PUNCT
ejpam-5851	607	29	,	,	PUNCT
ejpam-5851	607	30	(	(	PUNCT
ejpam-5851	607	31	81	81	NUM
ejpam-5851	607	32	)	)	PUNCT
ejpam-5851	607	33	a27	a27	PROPN
ejpam-5851	607	34	=	=	SYM
ejpam-5851	607	35	j1	j1	PROPN
ejpam-5851	607	36	exp	exp	NOUN
ejpam-5851	607	37	(	(	PUNCT
ejpam-5851	607	38	k	k	X
ejpam-5851	607	39	(	(	PUNCT
ejpam-5851	607	40	σ	σ	NOUN
ejpam-5851	607	41	√	√	PROPN
ejpam-5851	607	42	aθ(2−	aθ(2−	PROPN
ejpam-5851	607	43	bθ	bθ	PROPN
ejpam-5851	607	44	)	)	PUNCT
ejpam-5851	607	45	+	+	CCONJ
ejpam-5851	607	46	ω1(bθ	ω1(bθ	NUM
ejpam-5851	607	47	−	−	PROPN
ejpam-5851	607	48	1)2	1)2	NUM
ejpam-5851	607	49	√	√	NUM
ejpam-5851	607	50	2	2	NUM
ejpam-5851	607	51	√	√	NUM
ejpam-5851	607	52	bk2	bk2	NOUN
ejpam-5851	607	53	(	(	PUNCT
ejpam-5851	607	54	bω1	bω1	NOUN
ejpam-5851	607	55	−	−	NOUN
ejpam-5851	607	56	a	a	NOUN
ejpam-5851	607	57	)	)	PUNCT
ejpam-5851	607	58	+	+	CCONJ
ejpam-5851	607	59	v2	v2	NOUN
ejpam-5851	607	60	)	)	PUNCT
ejpam-5851	607	61	)	)	PUNCT
ejpam-5851	608	1	+	+	CCONJ
ejpam-5851	608	2	j3	j3	PROPN
ejpam-5851	608	3	sin	sin	NOUN
ejpam-5851	608	4	(	(	PUNCT
ejpam-5851	608	5	k	k	X
ejpam-5851	608	6	(	(	PUNCT
ejpam-5851	608	7	v4	v4	PROPN
ejpam-5851	608	8	−	−	PROPN
ejpam-5851	608	9	σ	σ	PROPN
ejpam-5851	608	10	√	√	PROPN
ejpam-5851	608	11	aθ(2−	aθ(2−	PROPN
ejpam-5851	608	12	bθ	bθ	PROPN
ejpam-5851	608	13	)	)	PUNCT
ejpam-5851	608	14	+	+	CCONJ
ejpam-5851	608	15	ω1(bθ	ω1(bθ	NUM
ejpam-5851	608	16	−	−	PROPN
ejpam-5851	608	17	1)2	1)2	NUM
ejpam-5851	608	18	√	√	NUM
ejpam-5851	608	19	2	2	NUM
ejpam-5851	608	20	√	√	NUM
ejpam-5851	608	21	bk2	bk2	NOUN
ejpam-5851	608	22	(	(	PUNCT
ejpam-5851	608	23	a−	a−	PROPN
ejpam-5851	608	24	bω1	bω1	NOUN
ejpam-5851	608	25	)	)	PUNCT
ejpam-5851	608	26	)	)	PUNCT
ejpam-5851	608	27	)	)	PUNCT
ejpam-5851	608	28	.	.	PUNCT
ejpam-5851	609	1	(	(	PUNCT
ejpam-5851	609	2	82	82	X
ejpam-5851	609	3	)	)	PUNCT
ejpam-5851	609	4	applying	apply	VERB
ejpam-5851	609	5	equations	equation	NOUN
ejpam-5851	609	6	(	(	PUNCT
ejpam-5851	609	7	79	79	NUM
ejpam-5851	609	8	)	)	PUNCT
ejpam-5851	609	9	and	and	CCONJ
ejpam-5851	609	10	(	(	PUNCT
ejpam-5851	609	11	80	80	NUM
ejpam-5851	609	12	)	)	PUNCT
ejpam-5851	609	13	in	in	ADP
ejpam-5851	609	14	equation	equation	NOUN
ejpam-5851	609	15	(	(	PUNCT
ejpam-5851	609	16	5	5	X
ejpam-5851	609	17	)	)	PUNCT
ejpam-5851	609	18	gives	give	VERB
ejpam-5851	609	19	the	the	DET
ejpam-5851	609	20	required	require	VERB
ejpam-5851	609	21	mi	mi	PROPN
ejpam-5851	609	22	wave	wave	NOUN
ejpam-5851	609	23	solutions	solution	NOUN
ejpam-5851	609	24	for	for	ADP
ejpam-5851	609	25	equation	equation	NOUN
ejpam-5851	609	26	(	(	PUNCT
ejpam-5851	609	27	1	1	NUM
ejpam-5851	609	28	)	)	PUNCT
ejpam-5851	609	29	as	as	ADP
ejpam-5851	609	30	g1mi(x	g1mi(x	PROPN
ejpam-5851	609	31	,	,	PUNCT
ejpam-5851	609	32	t	t	PROPN
ejpam-5851	609	33	)	)	PUNCT
ejpam-5851	609	34	=	=	PUNCT
ejpam-5851	610	1	ia6k	ia6k	NOUN
ejpam-5851	610	2	√	√	NUM
ejpam-5851	610	3	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	610	4	(	(	PUNCT
ejpam-5851	610	5	a28	a28	PROPN
ejpam-5851	610	6	√	√	PROPN
ejpam-5851	610	7	bk2(a−bω1)−j3	bk2(a−bω1)−j3	NOUN
ejpam-5851	610	8	√	√	NUM
ejpam-5851	610	9	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	610	10	)	)	PUNCT
ejpam-5851	610	11	cos	cos	PROPN
ejpam-5851	610	12	(	(	PUNCT
ejpam-5851	610	13	k	k	X
ejpam-5851	610	14	(	(	PUNCT
ejpam-5851	610	15	(	(	PUNCT
ejpam-5851	610	16	tω1−x	tω1−x	NOUN
ejpam-5851	610	17	)	)	PUNCT
ejpam-5851	610	18	√	√	PROPN
ejpam-5851	610	19	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	610	20	√	√	PROPN
ejpam-5851	610	21	2	2	NUM
ejpam-5851	610	22	√	√	NUM
ejpam-5851	610	23	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	610	24	)	)	PUNCT
ejpam-5851	611	1	+	+	VERB
ejpam-5851	611	2	v4	v4	NOUN
ejpam-5851	611	3	)	)	PUNCT
ejpam-5851	611	4	)	)	PUNCT
ejpam-5851	611	5	)	)	PUNCT
ejpam-5851	612	1	√	√	ADV
ejpam-5851	612	2	2	2	NUM
ejpam-5851	613	1	√	√	NUM
ejpam-5851	613	2	c	c	NOUN
ejpam-5851	614	1	√	√	PROPN
ejpam-5851	614	2	d	d	NOUN
ejpam-5851	614	3	√	√	PROPN
ejpam-5851	614	4	−b2k4(a−bω1)2	−b2k4(a−bω1)2	PROPN
ejpam-5851	614	5	(	(	PUNCT
ejpam-5851	614	6	j4	j4	PROPN
ejpam-5851	614	7	sinh	sinh	PROPN
ejpam-5851	614	8	(	(	PUNCT
ejpam-5851	614	9	k	k	X
ejpam-5851	614	10	(	(	PUNCT
ejpam-5851	614	11	(	(	PUNCT
ejpam-5851	614	12	x−tω1	x−tω1	X
ejpam-5851	614	13	)	)	PUNCT
ejpam-5851	614	14	√	√	PROPN
ejpam-5851	614	15	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	614	16	√	√	PROPN
ejpam-5851	614	17	2	2	NUM
ejpam-5851	614	18	√	√	NUM
ejpam-5851	614	19	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	614	20	)	)	PUNCT
ejpam-5851	615	1	+	+	NUM
ejpam-5851	615	2	v6	v6	NOUN
ejpam-5851	615	3	)	)	PUNCT
ejpam-5851	615	4	)	)	PUNCT
ejpam-5851	616	1	+	+	ADV
ejpam-5851	616	2	a29	a29	NOUN
ejpam-5851	616	3	)	)	PUNCT
ejpam-5851	617	1	,	,	PUNCT
ejpam-5851	617	2	(	(	PUNCT
ejpam-5851	617	3	83	83	NUM
ejpam-5851	617	4	)	)	PUNCT
ejpam-5851	617	5	b.	b.	PROPN
ejpam-5851	617	6	ceesay	ceesay	PROPN
ejpam-5851	617	7	et	et	PROPN
ejpam-5851	617	8	al	al	PROPN
ejpam-5851	617	9	.	.	PUNCT
ejpam-5851	617	10	/	/	SYM
ejpam-5851	617	11	eur	eur	PROPN
ejpam-5851	617	12	.	.	PUNCT
ejpam-5851	618	1	j.	j.	PROPN
ejpam-5851	618	2	pure	pure	PROPN
ejpam-5851	618	3	appl	appl	PROPN
ejpam-5851	618	4	.	.	PROPN
ejpam-5851	618	5	math	math	PROPN
ejpam-5851	618	6	,	,	PUNCT
ejpam-5851	618	7	18	18	NUM
ejpam-5851	618	8	(	(	PUNCT
ejpam-5851	618	9	2	2	NUM
ejpam-5851	618	10	)	)	PUNCT
ejpam-5851	618	11	(	(	PUNCT
ejpam-5851	618	12	2025	2025	NUM
ejpam-5851	618	13	)	)	PUNCT
ejpam-5851	618	14	,	,	PUNCT
ejpam-5851	618	15	5851	5851	NUM
ejpam-5851	618	16	24	24	NUM
ejpam-5851	618	17	of	of	ADP
ejpam-5851	618	18	32	32	NUM
ejpam-5851	618	19	(	(	PUNCT
ejpam-5851	618	20	a	a	NOUN
ejpam-5851	618	21	)	)	PUNCT
ejpam-5851	618	22	(	(	PUNCT
ejpam-5851	618	23	b	b	X
ejpam-5851	618	24	)	)	PUNCT
ejpam-5851	618	25	(	(	PUNCT
ejpam-5851	618	26	c	c	X
ejpam-5851	618	27	)	)	PUNCT
ejpam-5851	618	28	figure	figure	NOUN
ejpam-5851	618	29	21	21	NUM
ejpam-5851	618	30	:	:	PUNCT
ejpam-5851	618	31	(	(	PUNCT
ejpam-5851	618	32	a	a	X
ejpam-5851	618	33	)	)	PUNCT
ejpam-5851	618	34	three	three	NUM
ejpam-5851	618	35	-	-	PUNCT
ejpam-5851	618	36	dimensional	dimensional	ADJ
ejpam-5851	618	37	plot	plot	NOUN
ejpam-5851	618	38	,	,	PUNCT
ejpam-5851	618	39	(	(	PUNCT
ejpam-5851	618	40	b	b	X
ejpam-5851	618	41	)	)	PUNCT
ejpam-5851	618	42	contour	contour	NOUN
ejpam-5851	618	43	plot	plot	NOUN
ejpam-5851	618	44	and	and	CCONJ
ejpam-5851	618	45	(	(	PUNCT
ejpam-5851	618	46	c	c	NOUN
ejpam-5851	618	47	)	)	PUNCT
ejpam-5851	618	48	density	density	NOUN
ejpam-5851	618	49	plot	plot	NOUN
ejpam-5851	618	50	corresponding	correspond	VERB
ejpam-5851	618	51	to	to	ADP
ejpam-5851	618	52	the	the	DET
ejpam-5851	618	53	function	function	NOUN
ejpam-5851	618	54	g2mi	g2mi	NOUN
ejpam-5851	618	55	versus	versus	ADP
ejpam-5851	618	56	x	x	PUNCT
ejpam-5851	618	57	and	and	CCONJ
ejpam-5851	618	58	t.	t.	NOUN
ejpam-5851	618	59	we	we	PRON
ejpam-5851	618	60	used	use	VERB
ejpam-5851	618	61	the	the	DET
ejpam-5851	618	62	parameters	parameter	NOUN
ejpam-5851	618	63	v4	v4	X
ejpam-5851	618	64	=	=	SYM
ejpam-5851	618	65	0.5	0.5	NUM
ejpam-5851	618	66	,	,	PUNCT
ejpam-5851	618	67	v6	v6	NOUN
ejpam-5851	618	68	=	=	PUNCT
ejpam-5851	618	69	0.5	0.5	NUM
ejpam-5851	618	70	,	,	PUNCT
ejpam-5851	618	71	j3	j3	PROPN
ejpam-5851	618	72	=	=	SYM
ejpam-5851	618	73	5.9	5.9	NUM
ejpam-5851	618	74	,	,	PUNCT
ejpam-5851	618	75	j4	j4	PROPN
ejpam-5851	618	76	=	=	SYM
ejpam-5851	618	77	1.2	1.2	NUM
ejpam-5851	618	78	,	,	PUNCT
ejpam-5851	618	79	a	a	DET
ejpam-5851	618	80	=	=	SYM
ejpam-5851	618	81	5.7	5.7	NUM
ejpam-5851	618	82	,	,	PUNCT
ejpam-5851	618	83	b	b	NOUN
ejpam-5851	618	84	=	=	SYM
ejpam-5851	618	85	7.6	7.6	NUM
ejpam-5851	618	86	,	,	PUNCT
ejpam-5851	618	87	c	c	NOUN
ejpam-5851	618	88	=	=	SYM
ejpam-5851	618	89	4.0	4.0	NUM
ejpam-5851	618	90	,	,	PUNCT
ejpam-5851	619	1	d	d	NOUN
ejpam-5851	619	2	=	=	SYM
ejpam-5851	619	3	1	1	NUM
ejpam-5851	619	4	,	,	PUNCT
ejpam-5851	619	5	k	k	NOUN
ejpam-5851	619	6	=	=	SYM
ejpam-5851	619	7	1.2	1.2	NUM
ejpam-5851	619	8	,	,	PUNCT
ejpam-5851	619	9	ω1	ω1	PROPN
ejpam-5851	619	10	=	=	SYM
ejpam-5851	619	11	0.6	0.6	NUM
ejpam-5851	619	12	and	and	CCONJ
ejpam-5851	619	13	θ	θ	NOUN
ejpam-5851	619	14	=	=	SYM
ejpam-5851	619	15	0.1	0.1	NUM
ejpam-5851	619	16	.	.	PUNCT
ejpam-5851	620	1	(	(	PUNCT
ejpam-5851	620	2	a	a	X
ejpam-5851	620	3	)	)	PUNCT
ejpam-5851	620	4	(	(	PUNCT
ejpam-5851	620	5	b	b	X
ejpam-5851	620	6	)	)	PUNCT
ejpam-5851	620	7	(	(	PUNCT
ejpam-5851	620	8	c	c	X
ejpam-5851	620	9	)	)	PUNCT
ejpam-5851	620	10	figure	figure	NOUN
ejpam-5851	620	11	22	22	NUM
ejpam-5851	620	12	:	:	PUNCT
ejpam-5851	620	13	(	(	PUNCT
ejpam-5851	620	14	a	a	X
ejpam-5851	620	15	)	)	PUNCT
ejpam-5851	620	16	three	three	NUM
ejpam-5851	620	17	-	-	PUNCT
ejpam-5851	620	18	dimensional	dimensional	ADJ
ejpam-5851	620	19	plot	plot	NOUN
ejpam-5851	620	20	,	,	PUNCT
ejpam-5851	620	21	(	(	PUNCT
ejpam-5851	620	22	b	b	X
ejpam-5851	620	23	)	)	PUNCT
ejpam-5851	620	24	contour	contour	NOUN
ejpam-5851	620	25	plot	plot	NOUN
ejpam-5851	620	26	and	and	CCONJ
ejpam-5851	620	27	(	(	PUNCT
ejpam-5851	620	28	c	c	NOUN
ejpam-5851	620	29	)	)	PUNCT
ejpam-5851	620	30	density	density	NOUN
ejpam-5851	620	31	plot	plot	NOUN
ejpam-5851	620	32	corresponding	correspond	VERB
ejpam-5851	620	33	to	to	ADP
ejpam-5851	620	34	the	the	DET
ejpam-5851	620	35	function	function	NOUN
ejpam-5851	620	36	h2mi	h2mi	PUNCT
ejpam-5851	620	37	versus	versus	X
ejpam-5851	620	38	x	x	PUNCT
ejpam-5851	620	39	and	and	CCONJ
ejpam-5851	620	40	t.	t.	NOUN
ejpam-5851	620	41	we	we	PRON
ejpam-5851	620	42	used	use	VERB
ejpam-5851	620	43	the	the	DET
ejpam-5851	620	44	parameters	parameter	NOUN
ejpam-5851	620	45	v4	v4	X
ejpam-5851	620	46	=	=	SYM
ejpam-5851	620	47	0.5	0.5	NUM
ejpam-5851	620	48	,	,	PUNCT
ejpam-5851	620	49	v6	v6	NOUN
ejpam-5851	620	50	=	=	PUNCT
ejpam-5851	620	51	0.5	0.5	NUM
ejpam-5851	620	52	,	,	PUNCT
ejpam-5851	620	53	j3	j3	PROPN
ejpam-5851	620	54	=	=	SYM
ejpam-5851	620	55	5.9	5.9	NUM
ejpam-5851	620	56	,	,	PUNCT
ejpam-5851	620	57	j4	j4	PROPN
ejpam-5851	620	58	=	=	SYM
ejpam-5851	620	59	1.2	1.2	NUM
ejpam-5851	620	60	,	,	PUNCT
ejpam-5851	620	61	a	a	DET
ejpam-5851	620	62	=	=	SYM
ejpam-5851	620	63	5.7	5.7	NUM
ejpam-5851	620	64	,	,	PUNCT
ejpam-5851	620	65	b	b	NOUN
ejpam-5851	620	66	=	=	SYM
ejpam-5851	620	67	7.6	7.6	NUM
ejpam-5851	620	68	,	,	PUNCT
ejpam-5851	620	69	c	c	NOUN
ejpam-5851	620	70	=	=	SYM
ejpam-5851	620	71	4.0	4.0	NUM
ejpam-5851	620	72	,	,	PUNCT
ejpam-5851	620	73	d	d	NOUN
ejpam-5851	620	74	=	=	SYM
ejpam-5851	620	75	1	1	NUM
ejpam-5851	620	76	,	,	PUNCT
ejpam-5851	620	77	k	k	NOUN
ejpam-5851	620	78	=	=	SYM
ejpam-5851	620	79	1.2	1.2	NUM
ejpam-5851	620	80	,	,	PUNCT
ejpam-5851	620	81	ω1	ω1	PROPN
ejpam-5851	620	82	=	=	SYM
ejpam-5851	620	83	0.6	0.6	NUM
ejpam-5851	620	84	and	and	CCONJ
ejpam-5851	620	85	θ	θ	NOUN
ejpam-5851	620	86	=	=	SYM
ejpam-5851	620	87	0.1	0.1	NUM
ejpam-5851	620	88	.	.	PUNCT
ejpam-5851	621	1	h1mi(x	h1mi(x	PROPN
ejpam-5851	621	2	,	,	PUNCT
ejpam-5851	621	3	t	t	PROPN
ejpam-5851	621	4	)	)	PUNCT
ejpam-5851	621	5	=	=	SYM
ejpam-5851	622	1	−	−	PROPN
ejpam-5851	622	2	(	(	PUNCT
ejpam-5851	622	3	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	NUM
ejpam-5851	622	4	)	)	PUNCT
ejpam-5851	622	5	(	(	PUNCT
ejpam-5851	622	6	a28	a28	PROPN
ejpam-5851	622	7	√	√	PROPN
ejpam-5851	622	8	bk2(a−bω1)−j3	bk2(a−bω1)−j3	NOUN
ejpam-5851	622	9	√	√	NUM
ejpam-5851	622	10	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	622	11	)	)	PUNCT
ejpam-5851	623	1	cos	cos	PROPN
ejpam-5851	623	2	(	(	PUNCT
ejpam-5851	623	3	k	k	X
ejpam-5851	623	4	(	(	PUNCT
ejpam-5851	623	5	(	(	PUNCT
ejpam-5851	623	6	tω1−x	tω1−x	NOUN
ejpam-5851	623	7	)	)	PUNCT
ejpam-5851	623	8	√	√	PROPN
ejpam-5851	623	9	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	623	10	√	√	PROPN
ejpam-5851	623	11	2	2	NUM
ejpam-5851	623	12	√	√	NUM
ejpam-5851	623	13	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	623	14	)	)	PUNCT
ejpam-5851	624	1	+	+	VERB
ejpam-5851	624	2	v4	v4	NOUN
ejpam-5851	624	3	)	)	PUNCT
ejpam-5851	624	4	)	)	PUNCT
ejpam-5851	624	5	)	)	PUNCT
ejpam-5851	624	6	2	2	NUM
ejpam-5851	624	7	b2ck2(bω1−a	b2ck2(bω1−a	NOUN
ejpam-5851	624	8	)	)	PUNCT
ejpam-5851	624	9	(	(	PUNCT
ejpam-5851	624	10	j4	j4	PROPN
ejpam-5851	624	11	sinh	sinh	PROPN
ejpam-5851	624	12	(	(	PUNCT
ejpam-5851	624	13	k	k	X
ejpam-5851	624	14	(	(	PUNCT
ejpam-5851	624	15	(	(	PUNCT
ejpam-5851	624	16	x−tω1	x−tω1	X
ejpam-5851	624	17	)	)	PUNCT
ejpam-5851	624	18	√	√	PROPN
ejpam-5851	624	19	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	624	20	√	√	PROPN
ejpam-5851	624	21	2	2	NUM
ejpam-5851	624	22	√	√	NUM
ejpam-5851	624	23	bk2(bω1−a	bk2(bω1−a	NOUN
ejpam-5851	624	24	)	)	PUNCT
ejpam-5851	625	1	+	+	NUM
ejpam-5851	625	2	v6	v6	NOUN
ejpam-5851	625	3	)	)	PUNCT
ejpam-5851	625	4	)	)	PUNCT
ejpam-5851	626	1	+	+	ADV
ejpam-5851	626	2	a29	a29	NOUN
ejpam-5851	626	3	)	)	PUNCT
ejpam-5851	626	4	2	2	NUM
ejpam-5851	626	5	,	,	PUNCT
ejpam-5851	626	6	(	(	PUNCT
ejpam-5851	626	7	84	84	NUM
ejpam-5851	626	8	)	)	PUNCT
ejpam-5851	626	9	where	where	SCONJ
ejpam-5851	626	10	a28	a28	PROPN
ejpam-5851	626	11	=	=	PROPN
ejpam-5851	626	12	j1	j1	PROPN
ejpam-5851	626	13	exp	exp	NOUN
ejpam-5851	626	14	(	(	PUNCT
ejpam-5851	626	15	k	k	X
ejpam-5851	626	16	(	(	PUNCT
ejpam-5851	626	17	(	(	PUNCT
ejpam-5851	626	18	x−	x−	PROPN
ejpam-5851	626	19	tω1	tω1	PROPN
ejpam-5851	626	20	)	)	PUNCT
ejpam-5851	626	21	√	√	PROPN
ejpam-5851	626	22	aθ(2−	aθ(2−	PROPN
ejpam-5851	626	23	bθ	bθ	PROPN
ejpam-5851	626	24	)	)	PUNCT
ejpam-5851	626	25	+	+	CCONJ
ejpam-5851	627	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	627	2	−	−	PROPN
ejpam-5851	628	1	1)2	1)2	NUM
ejpam-5851	628	2	√	√	NUM
ejpam-5851	628	3	2	2	NUM
ejpam-5851	628	4	√	√	NUM
ejpam-5851	628	5	bk2	bk2	NOUN
ejpam-5851	628	6	(	(	PUNCT
ejpam-5851	628	7	bω1	bω1	NOUN
ejpam-5851	628	8	−	−	NOUN
ejpam-5851	628	9	a	a	NOUN
ejpam-5851	628	10	)	)	PUNCT
ejpam-5851	629	1	+	+	CCONJ
ejpam-5851	629	2	v2	v2	NOUN
ejpam-5851	629	3	)	)	PUNCT
ejpam-5851	629	4	)	)	PUNCT
ejpam-5851	630	1	+	+	CCONJ
ejpam-5851	630	2	j4	j4	PROPN
ejpam-5851	630	3	cosh	cosh	NOUN
ejpam-5851	630	4	(	(	PUNCT
ejpam-5851	630	5	k	k	X
ejpam-5851	630	6	(	(	PUNCT
ejpam-5851	630	7	(	(	PUNCT
ejpam-5851	630	8	x−	x−	PROPN
ejpam-5851	630	9	tω1	tω1	PROPN
ejpam-5851	630	10	)	)	PUNCT
ejpam-5851	630	11	√	√	PROPN
ejpam-5851	630	12	aθ(2−	aθ(2−	PROPN
ejpam-5851	630	13	bθ	bθ	PROPN
ejpam-5851	630	14	)	)	PUNCT
ejpam-5851	630	15	+	+	CCONJ
ejpam-5851	630	16	ω1(bθ	ω1(bθ	NUM
ejpam-5851	630	17	−	−	PROPN
ejpam-5851	630	18	1)2	1)2	NUM
ejpam-5851	630	19	√	√	NUM
ejpam-5851	630	20	2	2	NUM
ejpam-5851	630	21	√	√	NUM
ejpam-5851	630	22	bk2	bk2	NOUN
ejpam-5851	630	23	(	(	PUNCT
ejpam-5851	630	24	bω1	bω1	NOUN
ejpam-5851	630	25	−	−	NOUN
ejpam-5851	630	26	a	a	NOUN
ejpam-5851	630	27	)	)	PUNCT
ejpam-5851	630	28	+	+	NUM
ejpam-5851	630	29	v6	v6	NOUN
ejpam-5851	630	30	)	)	PUNCT
ejpam-5851	630	31	)	)	PUNCT
ejpam-5851	630	32	(	(	PUNCT
ejpam-5851	630	33	85	85	NUM
ejpam-5851	630	34	)	)	PUNCT
ejpam-5851	630	35	and	and	CCONJ
ejpam-5851	630	36	a29	a29	PROPN
ejpam-5851	630	37	=	=	SYM
ejpam-5851	630	38	j1	j1	PROPN
ejpam-5851	630	39	exp	exp	NOUN
ejpam-5851	630	40	(	(	PUNCT
ejpam-5851	630	41	k	k	X
ejpam-5851	630	42	(	(	PUNCT
ejpam-5851	630	43	(	(	PUNCT
ejpam-5851	630	44	x−	x−	PROPN
ejpam-5851	630	45	tω1	tω1	PROPN
ejpam-5851	630	46	)	)	PUNCT
ejpam-5851	630	47	√	√	PROPN
ejpam-5851	630	48	aθ(2−	aθ(2−	PROPN
ejpam-5851	630	49	bθ	bθ	PROPN
ejpam-5851	630	50	)	)	PUNCT
ejpam-5851	630	51	+	+	CCONJ
ejpam-5851	630	52	ω1(bθ	ω1(bθ	NUM
ejpam-5851	630	53	−	−	PROPN
ejpam-5851	630	54	1)2	1)2	NUM
ejpam-5851	630	55	√	√	NUM
ejpam-5851	630	56	2	2	NUM
ejpam-5851	630	57	√	√	NUM
ejpam-5851	630	58	bk2	bk2	NOUN
ejpam-5851	630	59	(	(	PUNCT
ejpam-5851	630	60	bω1	bω1	NOUN
ejpam-5851	630	61	−	−	NOUN
ejpam-5851	630	62	a	a	NOUN
ejpam-5851	630	63	)	)	PUNCT
ejpam-5851	630	64	+	+	CCONJ
ejpam-5851	630	65	v2	v2	NOUN
ejpam-5851	630	66	)	)	PUNCT
ejpam-5851	630	67	)	)	PUNCT
ejpam-5851	631	1	+	+	CCONJ
ejpam-5851	631	2	j3	j3	PROPN
ejpam-5851	631	3	sin	sin	NOUN
ejpam-5851	631	4	(	(	PUNCT
ejpam-5851	631	5	k	k	X
ejpam-5851	631	6	(	(	PUNCT
ejpam-5851	631	7	(	(	PUNCT
ejpam-5851	631	8	tω1	tω1	X
ejpam-5851	631	9	−	−	PROPN
ejpam-5851	631	10	x	x	SYM
ejpam-5851	631	11	)	)	PUNCT
ejpam-5851	631	12	√	√	PROPN
ejpam-5851	631	13	aθ(2−	aθ(2−	PROPN
ejpam-5851	631	14	bθ	bθ	PROPN
ejpam-5851	631	15	)	)	PUNCT
ejpam-5851	631	16	+	+	CCONJ
ejpam-5851	631	17	ω1(bθ	ω1(bθ	NUM
ejpam-5851	631	18	−	−	PROPN
ejpam-5851	631	19	1)2	1)2	NUM
ejpam-5851	631	20	√	√	NUM
ejpam-5851	631	21	2	2	NUM
ejpam-5851	631	22	√	√	NUM
ejpam-5851	631	23	bk2	bk2	NOUN
ejpam-5851	631	24	(	(	PUNCT
ejpam-5851	631	25	a−	a−	PROPN
ejpam-5851	631	26	bω1	bω1	NOUN
ejpam-5851	631	27	)	)	PUNCT
ejpam-5851	631	28	+	+	NUM
ejpam-5851	631	29	v4	v4	NOUN
ejpam-5851	631	30	)	)	PUNCT
ejpam-5851	631	31	)	)	PUNCT
ejpam-5851	631	32	.	.	PUNCT
ejpam-5851	632	1	(	(	PUNCT
ejpam-5851	632	2	86	86	NUM
ejpam-5851	632	3	)	)	PUNCT
ejpam-5851	632	4	b.	b.	PROPN
ejpam-5851	632	5	ceesay	ceesay	PROPN
ejpam-5851	632	6	et	et	PROPN
ejpam-5851	632	7	al	al	PROPN
ejpam-5851	632	8	.	.	PUNCT
ejpam-5851	632	9	/	/	SYM
ejpam-5851	632	10	eur	eur	PROPN
ejpam-5851	632	11	.	.	PUNCT
ejpam-5851	633	1	j.	j.	PROPN
ejpam-5851	633	2	pure	pure	PROPN
ejpam-5851	633	3	appl	appl	PROPN
ejpam-5851	633	4	.	.	PROPN
ejpam-5851	633	5	math	math	PROPN
ejpam-5851	633	6	,	,	PUNCT
ejpam-5851	633	7	18	18	NUM
ejpam-5851	633	8	(	(	PUNCT
ejpam-5851	633	9	2	2	NUM
ejpam-5851	633	10	)	)	PUNCT
ejpam-5851	633	11	(	(	PUNCT
ejpam-5851	633	12	2025	2025	NUM
ejpam-5851	633	13	)	)	PUNCT
ejpam-5851	633	14	,	,	PUNCT
ejpam-5851	633	15	5851	5851	NUM
ejpam-5851	633	16	25	25	NUM
ejpam-5851	633	17	of	of	ADP
ejpam-5851	633	18	32	32	NUM
ejpam-5851	633	19	family	family	NOUN
ejpam-5851	633	20	2	2	NUM
ejpam-5851	633	21	.	.	PUNCT
ejpam-5851	634	1	v3	v3	PROPN
ejpam-5851	634	2	=	=	PROPN
ejpam-5851	635	1	√	√	PROPN
ejpam-5851	635	2	−abθ2	−abθ2	NOUN
ejpam-5851	636	1	+	+	CCONJ
ejpam-5851	636	2	2aθ	2aθ	NOUN
ejpam-5851	636	3	+	+	CCONJ
ejpam-5851	636	4	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	636	5	−	−	PROPN
ejpam-5851	636	6	2bθω1	2bθω1	NUM
ejpam-5851	636	7	+	+	CCONJ
ejpam-5851	636	8	ω1√	ω1√	PROPN
ejpam-5851	636	9	2	2	NUM
ejpam-5851	636	10	√	√	NOUN
ejpam-5851	636	11	abk2	abk2	NOUN
ejpam-5851	636	12	−	−	NOUN
ejpam-5851	636	13	b2k2ω1	b2k2ω1	NOUN
ejpam-5851	636	14	,	,	PUNCT
ejpam-5851	636	15	v5	v5	PROPN
ejpam-5851	636	16	=	=	SYM
ejpam-5851	637	1	√	√	PROPN
ejpam-5851	637	2	−abθ2	−abθ2	NOUN
ejpam-5851	638	1	+	+	CCONJ
ejpam-5851	638	2	2aθ	2aθ	NOUN
ejpam-5851	638	3	+	+	CCONJ
ejpam-5851	638	4	b2θ2ω1	b2θ2ω1	PROPN
ejpam-5851	638	5	−	−	PROPN
ejpam-5851	639	1	2bθω1	2bθω1	NUM
ejpam-5851	639	2	+	+	CCONJ
ejpam-5851	639	3	ω1√	ω1√	VERB
ejpam-5851	639	4	2b2k2ω1	2b2k2ω1	NUM
ejpam-5851	639	5	−	−	PROPN
ejpam-5851	639	6	2abk2	2abk2	NUM
ejpam-5851	639	7	,	,	PUNCT
ejpam-5851	639	8	j1	j1	PROPN
ejpam-5851	639	9	=	=	SYM
ejpam-5851	639	10	0	0	NUM
ejpam-5851	639	11	,	,	PUNCT
ejpam-5851	639	12	j2	j2	PROPN
ejpam-5851	639	13	=	=	SYM
ejpam-5851	639	14	0	0	PROPN
ejpam-5851	639	15	,	,	PUNCT
ejpam-5851	639	16	r	r	NOUN
ejpam-5851	639	17	=	=	PUNCT
ejpam-5851	639	18	−	−	PROPN
ejpam-5851	640	1	i	i	PRON
ejpam-5851	640	2	√	√	VERB
ejpam-5851	640	3	c	c	NOUN
ejpam-5851	640	4	√	√	NUM
ejpam-5851	640	5	d	d	NOUN
ejpam-5851	640	6	.	.	PUNCT
ejpam-5851	641	1	substituting	substitute	VERB
ejpam-5851	641	2	these	these	DET
ejpam-5851	641	3	constants	constant	NOUN
ejpam-5851	641	4	into	into	ADP
ejpam-5851	641	5	equation	equation	NOUN
ejpam-5851	641	6	(	(	PUNCT
ejpam-5851	641	7	78	78	NUM
ejpam-5851	641	8	)	)	PUNCT
ejpam-5851	641	9	and	and	CCONJ
ejpam-5851	641	10	then	then	ADV
ejpam-5851	641	11	the	the	DET
ejpam-5851	641	12	result	result	NOUN
ejpam-5851	641	13	into	into	ADP
ejpam-5851	641	14	equation	equation	NOUN
ejpam-5851	641	15	(	(	PUNCT
ejpam-5851	641	16	12	12	NUM
ejpam-5851	641	17	)	)	PUNCT
ejpam-5851	641	18	,	,	PUNCT
ejpam-5851	641	19	we	we	PRON
ejpam-5851	641	20	have	have	VERB
ejpam-5851	641	21	λ2mi(σ	λ2mi(σ	NOUN
ejpam-5851	641	22	)	)	PUNCT
ejpam-5851	642	1	=	=	SYM
ejpam-5851	642	2	−	−	PROPN
ejpam-5851	642	3	ik	ik	PROPN
ejpam-5851	642	4	√	√	PROPN
ejpam-5851	642	5	aθ(2−	aθ(2−	PROPN
ejpam-5851	642	6	bθ	bθ	PROPN
ejpam-5851	642	7	)	)	PUNCT
ejpam-5851	643	1	+	+	CCONJ
ejpam-5851	644	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	644	2	−	−	PROPN
ejpam-5851	645	1	1)2	1)2	NUM
ejpam-5851	645	2	(	(	PUNCT
ejpam-5851	645	3	a30j3	a30j3	ADV
ejpam-5851	645	4	√	√	NUM
ejpam-5851	645	5	bk2	bk2	NOUN
ejpam-5851	645	6	(	(	PUNCT
ejpam-5851	645	7	bω1	bω1	NOUN
ejpam-5851	645	8	−	−	NOUN
ejpam-5851	645	9	a	a	NOUN
ejpam-5851	645	10	)	)	PUNCT
ejpam-5851	645	11	)	)	PUNCT
ejpam-5851	645	12	√	√	ADP
ejpam-5851	646	1	2	2	NUM
ejpam-5851	646	2	√	√	NUM
ejpam-5851	646	3	c	c	NOUN
ejpam-5851	646	4	√	√	PROPN
ejpam-5851	646	5	d	d	PROPN
ejpam-5851	646	6	(	(	PUNCT
ejpam-5851	646	7	j3	j3	PROPN
ejpam-5851	646	8	sin	sin	PROPN
ejpam-5851	646	9	(	(	PUNCT
ejpam-5851	646	10	k	k	X
ejpam-5851	646	11	(	(	PUNCT
ejpam-5851	646	12	σ	σ	PROPN
ejpam-5851	646	13	√	√	PROPN
ejpam-5851	646	14	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	646	15	√	√	PROPN
ejpam-5851	646	16	2	2	NUM
ejpam-5851	646	17	√	√	NUM
ejpam-5851	646	18	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	646	19	)	)	PUNCT
ejpam-5851	647	1	+	+	CCONJ
ejpam-5851	647	2	v4	v4	NOUN
ejpam-5851	647	3	)	)	PUNCT
ejpam-5851	647	4	)	)	PUNCT
ejpam-5851	648	1	+	+	VERB
ejpam-5851	648	2	a31	a31	NOUN
ejpam-5851	648	3	)	)	PUNCT
ejpam-5851	648	4	.	.	PUNCT
ejpam-5851	649	1	(	(	PUNCT
ejpam-5851	649	2	87	87	NUM
ejpam-5851	649	3	)	)	PUNCT
ejpam-5851	649	4	substituting	substitute	VERB
ejpam-5851	649	5	equation	equation	NOUN
ejpam-5851	649	6	(	(	PUNCT
ejpam-5851	649	7	87	87	NUM
ejpam-5851	649	8	)	)	PUNCT
ejpam-5851	649	9	into	into	ADP
ejpam-5851	649	10	equation	equation	NOUN
ejpam-5851	649	11	(	(	PUNCT
ejpam-5851	649	12	10	10	NUM
ejpam-5851	649	13	)	)	PUNCT
ejpam-5851	649	14	yields	yield	VERB
ejpam-5851	649	15	∆2mi(σ	∆2mi(σ	NOUN
ejpam-5851	649	16	)	)	PUNCT
ejpam-5851	649	17	=	=	SYM
ejpam-5851	650	1	(	(	PUNCT
ejpam-5851	650	2	aθ(bθ	aθ(bθ	VERB
ejpam-5851	650	3	−	−	PUNCT
ejpam-5851	650	4	2)−	2)−	NUM
ejpam-5851	650	5	ω1(bθ	ω1(bθ	NUM
ejpam-5851	650	6	−	−	PROPN
ejpam-5851	650	7	1)2	1)2	NUM
ejpam-5851	650	8	)	)	PUNCT
ejpam-5851	650	9	(	(	PUNCT
ejpam-5851	650	10	a30j3	a30j3	ADV
ejpam-5851	650	11	√	√	VERB
ejpam-5851	650	12	bk2	bk2	NOUN
ejpam-5851	650	13	(	(	PUNCT
ejpam-5851	650	14	bω1	bω1	NOUN
ejpam-5851	650	15	−	−	PROPN
ejpam-5851	650	16	a	a	NOUN
ejpam-5851	650	17	)	)	PUNCT
ejpam-5851	650	18	)	)	PUNCT
ejpam-5851	650	19	2	2	NUM
ejpam-5851	650	20	bc	bc	PROPN
ejpam-5851	650	21	(	(	PUNCT
ejpam-5851	650	22	j3	j3	PROPN
ejpam-5851	650	23	sin	sin	PROPN
ejpam-5851	650	24	(	(	PUNCT
ejpam-5851	650	25	k	k	X
ejpam-5851	650	26	(	(	PUNCT
ejpam-5851	650	27	σ	σ	PROPN
ejpam-5851	650	28	√	√	PROPN
ejpam-5851	650	29	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	650	30	√	√	PROPN
ejpam-5851	650	31	2	2	NUM
ejpam-5851	650	32	√	√	NUM
ejpam-5851	650	33	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	650	34	)	)	PUNCT
ejpam-5851	650	35	+	+	CCONJ
ejpam-5851	650	36	v4	v4	NOUN
ejpam-5851	650	37	)	)	PUNCT
ejpam-5851	650	38	)	)	PUNCT
ejpam-5851	651	1	+	+	VERB
ejpam-5851	651	2	a31	a31	NOUN
ejpam-5851	651	3	)	)	PUNCT
ejpam-5851	651	4	2	2	NUM
ejpam-5851	651	5	,	,	PUNCT
ejpam-5851	651	6	(	(	PUNCT
ejpam-5851	651	7	88	88	NUM
ejpam-5851	651	8	)	)	PUNCT
ejpam-5851	651	9	where	where	SCONJ
ejpam-5851	651	10	a30	a30	NOUN
ejpam-5851	651	11	=	=	SYM
ejpam-5851	651	12	j4	j4	NOUN
ejpam-5851	651	13	√	√	PROPN
ejpam-5851	651	14	bk2	bk2	NOUN
ejpam-5851	651	15	(	(	PUNCT
ejpam-5851	651	16	a−	a−	PROPN
ejpam-5851	651	17	bω1	bω1	NOUN
ejpam-5851	651	18	)	)	PUNCT
ejpam-5851	651	19	cosh	cosh	NOUN
ejpam-5851	651	20	(	(	PUNCT
ejpam-5851	651	21	k	k	X
ejpam-5851	651	22	(	(	PUNCT
ejpam-5851	651	23	σ	σ	NOUN
ejpam-5851	651	24	√	√	PROPN
ejpam-5851	651	25	aθ(2−	aθ(2−	PROPN
ejpam-5851	651	26	bθ	bθ	PROPN
ejpam-5851	651	27	)	)	PUNCT
ejpam-5851	651	28	+	+	CCONJ
ejpam-5851	651	29	ω1(bθ	ω1(bθ	NUM
ejpam-5851	651	30	−	−	PROPN
ejpam-5851	652	1	1)2	1)2	NUM
ejpam-5851	652	2	√	√	NUM
ejpam-5851	652	3	2	2	NUM
ejpam-5851	652	4	√	√	NUM
ejpam-5851	652	5	bk2	bk2	NOUN
ejpam-5851	652	6	(	(	PUNCT
ejpam-5851	652	7	bω1	bω1	NOUN
ejpam-5851	652	8	−	−	NOUN
ejpam-5851	652	9	a	a	NOUN
ejpam-5851	652	10	)	)	PUNCT
ejpam-5851	652	11	+	+	NUM
ejpam-5851	652	12	v6	v6	NOUN
ejpam-5851	652	13	)	)	PUNCT
ejpam-5851	652	14	)	)	PUNCT
ejpam-5851	653	1	+	+	CCONJ
ejpam-5851	653	2	cos	cos	X
ejpam-5851	653	3	(	(	PUNCT
ejpam-5851	653	4	k	k	X
ejpam-5851	653	5	(	(	PUNCT
ejpam-5851	653	6	σ	σ	NOUN
ejpam-5851	653	7	√	√	PROPN
ejpam-5851	653	8	aθ(2−	aθ(2−	PROPN
ejpam-5851	653	9	bθ	bθ	PROPN
ejpam-5851	653	10	)	)	PUNCT
ejpam-5851	653	11	+	+	CCONJ
ejpam-5851	653	12	ω1(bθ	ω1(bθ	NUM
ejpam-5851	653	13	−	−	PROPN
ejpam-5851	653	14	1)2	1)2	NUM
ejpam-5851	653	15	√	√	NUM
ejpam-5851	653	16	2	2	NUM
ejpam-5851	653	17	√	√	NUM
ejpam-5851	653	18	bk2	bk2	NOUN
ejpam-5851	653	19	(	(	PUNCT
ejpam-5851	653	20	a−	a−	PROPN
ejpam-5851	653	21	bω1	bω1	NOUN
ejpam-5851	653	22	)	)	PUNCT
ejpam-5851	653	23	+	+	NUM
ejpam-5851	653	24	v4	v4	NOUN
ejpam-5851	653	25	)	)	PUNCT
ejpam-5851	653	26	)	)	PUNCT
ejpam-5851	653	27	,	,	PUNCT
ejpam-5851	653	28	(	(	PUNCT
ejpam-5851	653	29	89	89	NUM
ejpam-5851	653	30	)	)	PUNCT
ejpam-5851	653	31	and	and	CCONJ
ejpam-5851	653	32	a31	a31	NOUN
ejpam-5851	653	33	=	=	SYM
ejpam-5851	653	34	j4	j4	PROPN
ejpam-5851	653	35	√	√	PROPN
ejpam-5851	653	36	−b2k4	−b2k4	PROPN
ejpam-5851	653	37	(	(	PUNCT
ejpam-5851	653	38	a−	a−	PROPN
ejpam-5851	653	39	bω1	bω1	NOUN
ejpam-5851	653	40	)	)	PUNCT
ejpam-5851	653	41	2	2	NUM
ejpam-5851	653	42	sinh	sinh	NOUN
ejpam-5851	653	43	(	(	PUNCT
ejpam-5851	653	44	k	k	PROPN
ejpam-5851	653	45	(	(	PUNCT
ejpam-5851	653	46	σ	σ	NOUN
ejpam-5851	653	47	√	√	PROPN
ejpam-5851	653	48	aθ(2−	aθ(2−	PROPN
ejpam-5851	653	49	bθ	bθ	PROPN
ejpam-5851	653	50	)	)	PUNCT
ejpam-5851	653	51	+	+	CCONJ
ejpam-5851	653	52	ω1(bθ	ω1(bθ	NUM
ejpam-5851	653	53	−	−	PROPN
ejpam-5851	653	54	1)2	1)2	NUM
ejpam-5851	653	55	√	√	NUM
ejpam-5851	653	56	2	2	NUM
ejpam-5851	653	57	√	√	NUM
ejpam-5851	653	58	bk2	bk2	NOUN
ejpam-5851	653	59	(	(	PUNCT
ejpam-5851	653	60	bω1	bω1	NOUN
ejpam-5851	653	61	−	−	NOUN
ejpam-5851	653	62	a	a	NOUN
ejpam-5851	653	63	)	)	PUNCT
ejpam-5851	653	64	+	+	NUM
ejpam-5851	653	65	v6	v6	NOUN
ejpam-5851	653	66	)	)	PUNCT
ejpam-5851	653	67	)	)	PUNCT
ejpam-5851	653	68	.	.	PUNCT
ejpam-5851	654	1	(	(	PUNCT
ejpam-5851	654	2	90	90	NUM
ejpam-5851	654	3	)	)	PUNCT
ejpam-5851	654	4	substituting	substitute	VERB
ejpam-5851	654	5	equations	equation	NOUN
ejpam-5851	654	6	(	(	PUNCT
ejpam-5851	654	7	87	87	NUM
ejpam-5851	654	8	)	)	PUNCT
ejpam-5851	654	9	and	and	CCONJ
ejpam-5851	654	10	(	(	PUNCT
ejpam-5851	654	11	88	88	NUM
ejpam-5851	654	12	)	)	PUNCT
ejpam-5851	654	13	into	into	ADP
ejpam-5851	654	14	equation	equation	NOUN
ejpam-5851	654	15	(	(	PUNCT
ejpam-5851	654	16	5	5	X
ejpam-5851	654	17	)	)	PUNCT
ejpam-5851	654	18	gives	give	VERB
ejpam-5851	654	19	the	the	DET
ejpam-5851	654	20	mi	mi	PROPN
ejpam-5851	654	21	wave	wave	NOUN
ejpam-5851	654	22	solution	solution	NOUN
ejpam-5851	654	23	for	for	ADP
ejpam-5851	654	24	equation	equation	NOUN
ejpam-5851	654	25	(	(	PUNCT
ejpam-5851	654	26	1	1	NUM
ejpam-5851	654	27	):	):	PUNCT
ejpam-5851	654	28	g2mi(x	g2mi(x	PROPN
ejpam-5851	654	29	,	,	PUNCT
ejpam-5851	654	30	t	t	PROPN
ejpam-5851	654	31	)	)	PUNCT
ejpam-5851	654	32	=	=	SYM
ejpam-5851	655	1	−	−	NOUN
ejpam-5851	655	2	ia6k	ia6k	NOUN
ejpam-5851	655	3	√	√	PROPN
ejpam-5851	655	4	aθ(2−	aθ(2−	PROPN
ejpam-5851	655	5	bθ	bθ	PROPN
ejpam-5851	655	6	)	)	PUNCT
ejpam-5851	656	1	+	+	CCONJ
ejpam-5851	657	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	657	2	−	−	PROPN
ejpam-5851	658	1	1)2	1)2	NUM
ejpam-5851	658	2	(	(	PUNCT
ejpam-5851	658	3	a32j3	a32j3	NOUN
ejpam-5851	658	4	√	√	NUM
ejpam-5851	658	5	bk2	bk2	NOUN
ejpam-5851	658	6	(	(	PUNCT
ejpam-5851	658	7	bω1	bω1	NOUN
ejpam-5851	658	8	−	−	NOUN
ejpam-5851	658	9	a	a	NOUN
ejpam-5851	658	10	)	)	PUNCT
ejpam-5851	658	11	)	)	PUNCT
ejpam-5851	659	1	√	√	ADP
ejpam-5851	659	2	2	2	NUM
ejpam-5851	660	1	√	√	NUM
ejpam-5851	660	2	c	c	NOUN
ejpam-5851	660	3	√	√	PROPN
ejpam-5851	660	4	d	d	PROPN
ejpam-5851	660	5	(	(	PUNCT
ejpam-5851	660	6	j3	j3	PROPN
ejpam-5851	660	7	sin	sin	PROPN
ejpam-5851	660	8	(	(	PUNCT
ejpam-5851	660	9	k	k	X
ejpam-5851	660	10	(	(	PUNCT
ejpam-5851	660	11	(	(	PUNCT
ejpam-5851	660	12	x−tω1	x−tω1	X
ejpam-5851	660	13	)	)	PUNCT
ejpam-5851	660	14	√	√	PROPN
ejpam-5851	660	15	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	660	16	√	√	PROPN
ejpam-5851	660	17	2	2	NUM
ejpam-5851	660	18	√	√	NUM
ejpam-5851	660	19	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	660	20	)	)	PUNCT
ejpam-5851	661	1	+	+	CCONJ
ejpam-5851	661	2	v4	v4	NOUN
ejpam-5851	661	3	)	)	PUNCT
ejpam-5851	661	4	)	)	PUNCT
ejpam-5851	662	1	+	+	ADP
ejpam-5851	662	2	a33	a33	NOUN
ejpam-5851	662	3	)	)	PUNCT
ejpam-5851	662	4	,	,	PUNCT
ejpam-5851	662	5	(	(	PUNCT
ejpam-5851	662	6	91	91	X
ejpam-5851	662	7	)	)	PUNCT
ejpam-5851	662	8	h2mi(x	h2mi(x	PROPN
ejpam-5851	662	9	,	,	PUNCT
ejpam-5851	662	10	t	t	PROPN
ejpam-5851	662	11	)	)	PUNCT
ejpam-5851	662	12	=	=	SYM
ejpam-5851	662	13	(	(	PUNCT
ejpam-5851	662	14	aθ(bθ	aθ(bθ	X
ejpam-5851	662	15	−	−	PUNCT
ejpam-5851	662	16	2)−	2)−	NUM
ejpam-5851	662	17	ω1(bθ	ω1(bθ	NUM
ejpam-5851	662	18	−	−	PROPN
ejpam-5851	662	19	1)2	1)2	NUM
ejpam-5851	662	20	)	)	PUNCT
ejpam-5851	662	21	(	(	PUNCT
ejpam-5851	662	22	a32j3	a32j3	NOUN
ejpam-5851	662	23	√	√	NUM
ejpam-5851	662	24	bk2	bk2	NOUN
ejpam-5851	662	25	(	(	PUNCT
ejpam-5851	662	26	bω1	bω1	NOUN
ejpam-5851	662	27	−	−	PROPN
ejpam-5851	662	28	a	a	NOUN
ejpam-5851	662	29	)	)	PUNCT
ejpam-5851	662	30	)	)	PUNCT
ejpam-5851	662	31	2	2	NUM
ejpam-5851	662	32	bc	bc	PROPN
ejpam-5851	662	33	(	(	PUNCT
ejpam-5851	662	34	j3	j3	PROPN
ejpam-5851	662	35	sin	sin	PROPN
ejpam-5851	662	36	(	(	PUNCT
ejpam-5851	662	37	k	k	X
ejpam-5851	662	38	(	(	PUNCT
ejpam-5851	662	39	(	(	PUNCT
ejpam-5851	662	40	x−tω1	x−tω1	X
ejpam-5851	662	41	)	)	PUNCT
ejpam-5851	662	42	√	√	PROPN
ejpam-5851	662	43	aθ(2−bθ)+ω1(bθ−1)2	aθ(2−bθ)+ω1(bθ−1)2	VERB
ejpam-5851	662	44	√	√	PROPN
ejpam-5851	662	45	2	2	NUM
ejpam-5851	662	46	√	√	NUM
ejpam-5851	662	47	bk2(a−bω1	bk2(a−bω1	NUM
ejpam-5851	662	48	)	)	PUNCT
ejpam-5851	663	1	+	+	CCONJ
ejpam-5851	663	2	v4	v4	NOUN
ejpam-5851	663	3	)	)	PUNCT
ejpam-5851	663	4	)	)	PUNCT
ejpam-5851	664	1	+	+	NOUN
ejpam-5851	664	2	a33	a33	NOUN
ejpam-5851	664	3	)	)	PUNCT
ejpam-5851	664	4	2	2	NUM
ejpam-5851	664	5	,	,	PUNCT
ejpam-5851	664	6	(	(	PUNCT
ejpam-5851	664	7	92	92	NUM
ejpam-5851	664	8	)	)	PUNCT
ejpam-5851	664	9	where	where	SCONJ
ejpam-5851	664	10	a32	a32	PROPN
ejpam-5851	664	11	=	=	SYM
ejpam-5851	664	12	j4	j4	PROPN
ejpam-5851	664	13	√	√	PROPN
ejpam-5851	665	1	bk2	bk2	NOUN
ejpam-5851	665	2	(	(	PUNCT
ejpam-5851	665	3	a−	a−	PROPN
ejpam-5851	665	4	bω1	bω1	NOUN
ejpam-5851	665	5	)	)	PUNCT
ejpam-5851	665	6	cosh	cosh	NOUN
ejpam-5851	665	7	(	(	PUNCT
ejpam-5851	665	8	k	k	X
ejpam-5851	665	9	(	(	PUNCT
ejpam-5851	665	10	(	(	PUNCT
ejpam-5851	665	11	x−	x−	PROPN
ejpam-5851	665	12	tω1	tω1	PROPN
ejpam-5851	665	13	)	)	PUNCT
ejpam-5851	665	14	√	√	PROPN
ejpam-5851	665	15	aθ(2−	aθ(2−	PROPN
ejpam-5851	665	16	bθ	bθ	PROPN
ejpam-5851	665	17	)	)	PUNCT
ejpam-5851	665	18	+	+	CCONJ
ejpam-5851	665	19	ω1(bθ	ω1(bθ	NUM
ejpam-5851	665	20	−	−	PROPN
ejpam-5851	665	21	1)2	1)2	NUM
ejpam-5851	665	22	√	√	NUM
ejpam-5851	665	23	2	2	NUM
ejpam-5851	665	24	√	√	NUM
ejpam-5851	665	25	bk2	bk2	NOUN
ejpam-5851	665	26	(	(	PUNCT
ejpam-5851	665	27	bω1	bω1	NOUN
ejpam-5851	665	28	−	−	NOUN
ejpam-5851	665	29	a	a	NOUN
ejpam-5851	665	30	)	)	PUNCT
ejpam-5851	665	31	+	+	NUM
ejpam-5851	665	32	v6	v6	NOUN
ejpam-5851	665	33	)	)	PUNCT
ejpam-5851	665	34	)	)	PUNCT
ejpam-5851	666	1	+	+	CCONJ
ejpam-5851	666	2	cos	cos	X
ejpam-5851	666	3	(	(	PUNCT
ejpam-5851	666	4	k	k	X
ejpam-5851	666	5	(	(	PUNCT
ejpam-5851	666	6	(	(	PUNCT
ejpam-5851	666	7	x−	x−	PROPN
ejpam-5851	666	8	tω1	tω1	PROPN
ejpam-5851	666	9	)	)	PUNCT
ejpam-5851	666	10	√	√	PROPN
ejpam-5851	666	11	aθ(2−	aθ(2−	PROPN
ejpam-5851	666	12	bθ	bθ	PROPN
ejpam-5851	666	13	)	)	PUNCT
ejpam-5851	666	14	+	+	CCONJ
ejpam-5851	666	15	ω1(bθ	ω1(bθ	NUM
ejpam-5851	666	16	−	−	PROPN
ejpam-5851	666	17	1)2	1)2	NUM
ejpam-5851	666	18	√	√	NUM
ejpam-5851	666	19	2	2	NUM
ejpam-5851	666	20	√	√	NUM
ejpam-5851	666	21	bk2	bk2	NOUN
ejpam-5851	666	22	(	(	PUNCT
ejpam-5851	666	23	a−	a−	PROPN
ejpam-5851	666	24	bω1	bω1	NOUN
ejpam-5851	666	25	)	)	PUNCT
ejpam-5851	666	26	+	+	NUM
ejpam-5851	666	27	v4	v4	NOUN
ejpam-5851	666	28	)	)	PUNCT
ejpam-5851	666	29	)	)	PUNCT
ejpam-5851	666	30	(	(	PUNCT
ejpam-5851	666	31	93	93	NUM
ejpam-5851	666	32	)	)	PUNCT
ejpam-5851	666	33	b.	b.	PROPN
ejpam-5851	666	34	ceesay	ceesay	PROPN
ejpam-5851	666	35	et	et	PROPN
ejpam-5851	666	36	al	al	PROPN
ejpam-5851	666	37	.	.	PUNCT
ejpam-5851	666	38	/	/	SYM
ejpam-5851	666	39	eur	eur	PROPN
ejpam-5851	666	40	.	.	PUNCT
ejpam-5851	667	1	j.	j.	PROPN
ejpam-5851	667	2	pure	pure	PROPN
ejpam-5851	667	3	appl	appl	PROPN
ejpam-5851	667	4	.	.	PROPN
ejpam-5851	667	5	math	math	PROPN
ejpam-5851	667	6	,	,	PUNCT
ejpam-5851	667	7	18	18	NUM
ejpam-5851	667	8	(	(	PUNCT
ejpam-5851	667	9	2	2	NUM
ejpam-5851	667	10	)	)	PUNCT
ejpam-5851	667	11	(	(	PUNCT
ejpam-5851	667	12	2025	2025	NUM
ejpam-5851	667	13	)	)	PUNCT
ejpam-5851	667	14	,	,	PUNCT
ejpam-5851	667	15	5851	5851	NUM
ejpam-5851	667	16	26	26	NUM
ejpam-5851	667	17	of	of	ADP
ejpam-5851	667	18	32	32	NUM
ejpam-5851	667	19	and	and	CCONJ
ejpam-5851	667	20	a33	a33	NUM
ejpam-5851	667	21	=	=	SYM
ejpam-5851	667	22	j4	j4	PROPN
ejpam-5851	667	23	√	√	PROPN
ejpam-5851	667	24	−b2k4	−b2k4	PROPN
ejpam-5851	667	25	(	(	PUNCT
ejpam-5851	667	26	a−	a−	PROPN
ejpam-5851	667	27	bω1	bω1	NOUN
ejpam-5851	667	28	)	)	PUNCT
ejpam-5851	667	29	2	2	NUM
ejpam-5851	667	30	sinh	sinh	NOUN
ejpam-5851	667	31	(	(	PUNCT
ejpam-5851	667	32	k	k	X
ejpam-5851	667	33	(	(	PUNCT
ejpam-5851	667	34	(	(	PUNCT
ejpam-5851	667	35	x−	x−	PROPN
ejpam-5851	667	36	tω1	tω1	PROPN
ejpam-5851	667	37	)	)	PUNCT
ejpam-5851	667	38	√	√	PROPN
ejpam-5851	668	1	aθ(2−	aθ(2−	PROPN
ejpam-5851	668	2	bθ	bθ	PROPN
ejpam-5851	668	3	)	)	PUNCT
ejpam-5851	669	1	+	+	CCONJ
ejpam-5851	670	1	ω1(bθ	ω1(bθ	NUM
ejpam-5851	670	2	−	−	PROPN
ejpam-5851	671	1	1)2	1)2	NUM
ejpam-5851	671	2	√	√	NUM
ejpam-5851	671	3	2	2	NUM
ejpam-5851	671	4	√	√	NUM
ejpam-5851	671	5	bk2	bk2	NOUN
ejpam-5851	671	6	(	(	PUNCT
ejpam-5851	671	7	bω1	bω1	NOUN
ejpam-5851	671	8	−	−	NOUN
ejpam-5851	671	9	a	a	NOUN
ejpam-5851	671	10	)	)	PUNCT
ejpam-5851	671	11	+	+	NUM
ejpam-5851	671	12	v6	v6	NOUN
ejpam-5851	671	13	)	)	PUNCT
ejpam-5851	671	14	)	)	PUNCT
ejpam-5851	671	15	.	.	PUNCT
ejpam-5851	672	1	(	(	PUNCT
ejpam-5851	672	2	94	94	NUM
ejpam-5851	672	3	)	)	PUNCT
ejpam-5851	672	4	in	in	ADP
ejpam-5851	672	5	figures	figure	NOUN
ejpam-5851	672	6	19	19	NUM
ejpam-5851	672	7	,	,	PUNCT
ejpam-5851	672	8	20	20	NUM
ejpam-5851	672	9	,	,	PUNCT
ejpam-5851	672	10	21	21	NUM
ejpam-5851	672	11	and	and	CCONJ
ejpam-5851	672	12	(	(	PUNCT
ejpam-5851	672	13	22	22	NUM
ejpam-5851	672	14	,	,	PUNCT
ejpam-5851	672	15	we	we	PRON
ejpam-5851	672	16	provide	provide	VERB
ejpam-5851	672	17	graphs	graph	NOUN
ejpam-5851	672	18	of	of	ADP
ejpam-5851	672	19	mixtures	mixture	NOUN
ejpam-5851	672	20	of	of	ADP
ejpam-5851	672	21	wave	wave	NOUN
ejpam-5851	672	22	forms	form	NOUN
ejpam-5851	672	23	.	.	PUNCT
ejpam-5851	673	1	the	the	DET
ejpam-5851	673	2	solution	solution	NOUN
ejpam-5851	673	3	g1mi(x	g1mi(x	PROPN
ejpam-5851	673	4	,	,	PUNCT
ejpam-5851	673	5	t	t	PROPN
ejpam-5851	673	6	)	)	PUNCT
ejpam-5851	673	7	corresponding	correspond	VERB
ejpam-5851	673	8	to	to	ADP
ejpam-5851	673	9	equation	equation	NOUN
ejpam-5851	673	10	(	(	PUNCT
ejpam-5851	673	11	83	83	NUM
ejpam-5851	673	12	)	)	PUNCT
ejpam-5851	673	13	is	be	AUX
ejpam-5851	673	14	shown	show	VERB
ejpam-5851	673	15	in	in	ADP
ejpam-5851	673	16	figure	figure	NOUN
ejpam-5851	673	17	19	19	NUM
ejpam-5851	673	18	for	for	ADP
ejpam-5851	673	19	the	the	DET
ejpam-5851	673	20	parameter	parameter	NOUN
ejpam-5851	673	21	values	value	VERB
ejpam-5851	674	1	v2	v2	PROPN
ejpam-5851	674	2	=	=	SYM
ejpam-5851	674	3	0.4	0.4	NUM
ejpam-5851	674	4	,	,	PUNCT
ejpam-5851	674	5	v4	v4	NOUN
ejpam-5851	674	6	=	=	SYM
ejpam-5851	674	7	2.4	2.4	NUM
ejpam-5851	674	8	,	,	PUNCT
ejpam-5851	674	9	v6	v6	NOUN
ejpam-5851	674	10	=	=	PUNCT
ejpam-5851	674	11	0.5	0.5	NUM
ejpam-5851	674	12	,	,	PUNCT
ejpam-5851	674	13	j1	j1	PROPN
ejpam-5851	674	14	=	=	SYM
ejpam-5851	674	15	1.6	1.6	NUM
ejpam-5851	674	16	,	,	PUNCT
ejpam-5851	674	17	j3	j3	PROPN
ejpam-5851	674	18	=	=	SYM
ejpam-5851	674	19	5.9	5.9	NUM
ejpam-5851	674	20	,	,	PUNCT
ejpam-5851	674	21	j4	j4	PROPN
ejpam-5851	674	22	=	=	SYM
ejpam-5851	674	23	1.2	1.2	NUM
ejpam-5851	674	24	,	,	PUNCT
ejpam-5851	674	25	a	a	DET
ejpam-5851	674	26	=	=	SYM
ejpam-5851	674	27	0.5	0.5	NUM
ejpam-5851	674	28	,	,	PUNCT
ejpam-5851	674	29	b	b	NOUN
ejpam-5851	674	30	=	=	SYM
ejpam-5851	674	31	1.2	1.2	NUM
ejpam-5851	674	32	,	,	PUNCT
ejpam-5851	674	33	c	c	NOUN
ejpam-5851	674	34	=	=	SYM
ejpam-5851	674	35	6.8	6.8	NUM
ejpam-5851	674	36	,	,	PUNCT
ejpam-5851	674	37	d	d	NOUN
ejpam-5851	674	38	=	=	SYM
ejpam-5851	674	39	1	1	NUM
ejpam-5851	674	40	,	,	PUNCT
ejpam-5851	674	41	k	k	PROPN
ejpam-5851	674	42	=	=	SYM
ejpam-5851	674	43	9.4	9.4	NUM
ejpam-5851	674	44	,	,	PUNCT
ejpam-5851	674	45	ω1	ω1	PROPN
ejpam-5851	674	46	=	=	PUNCT
ejpam-5851	674	47	0.3	0.3	NUM
ejpam-5851	674	48	and	and	CCONJ
ejpam-5851	674	49	θ	θ	NOUN
ejpam-5851	674	50	=	=	SYM
ejpam-5851	674	51	1.1	1.1	NUM
ejpam-5851	674	52	.	.	PUNCT
ejpam-5851	675	1	figure	figure	NOUN
ejpam-5851	675	2	20	20	NUM
ejpam-5851	675	3	is	be	AUX
ejpam-5851	675	4	the	the	DET
ejpam-5851	675	5	solution	solution	NOUN
ejpam-5851	675	6	h1mi(x	h1mi(x	PROPN
ejpam-5851	675	7	,	,	PUNCT
ejpam-5851	675	8	t	t	PROPN
ejpam-5851	675	9	)	)	PUNCT
ejpam-5851	675	10	corresponding	correspond	VERB
ejpam-5851	675	11	to	to	ADP
ejpam-5851	675	12	equation	equation	NOUN
ejpam-5851	675	13	(	(	PUNCT
ejpam-5851	675	14	84	84	NUM
ejpam-5851	675	15	)	)	PUNCT
ejpam-5851	675	16	with	with	ADP
ejpam-5851	675	17	the	the	DET
ejpam-5851	675	18	same	same	ADJ
ejpam-5851	675	19	chosen	choose	VERB
ejpam-5851	675	20	parameter	parameter	NOUN
ejpam-5851	675	21	values	value	NOUN
ejpam-5851	675	22	as	as	ADP
ejpam-5851	675	23	figure	figure	NOUN
ejpam-5851	675	24	19	19	NUM
ejpam-5851	675	25	.	.	PUNCT
ejpam-5851	676	1	in	in	ADP
ejpam-5851	676	2	turn	turn	NOUN
ejpam-5851	676	3	,	,	PUNCT
ejpam-5851	676	4	the	the	DET
ejpam-5851	676	5	solution	solution	NOUN
ejpam-5851	676	6	g2mi(x	g2mi(x	PROPN
ejpam-5851	676	7	,	,	PUNCT
ejpam-5851	676	8	t	t	PROPN
ejpam-5851	676	9	)	)	PUNCT
ejpam-5851	676	10	corresponding	correspond	VERB
ejpam-5851	676	11	to	to	ADP
ejpam-5851	676	12	equation	equation	NOUN
ejpam-5851	676	13	(	(	PUNCT
ejpam-5851	676	14	91	91	NUM
ejpam-5851	676	15	)	)	PUNCT
ejpam-5851	676	16	is	be	AUX
ejpam-5851	676	17	shown	show	VERB
ejpam-5851	676	18	in	in	ADP
ejpam-5851	676	19	figure	figure	NOUN
ejpam-5851	676	20	21	21	NUM
ejpam-5851	676	21	for	for	ADP
ejpam-5851	676	22	the	the	DET
ejpam-5851	676	23	parameter	parameter	NOUN
ejpam-5851	676	24	values	value	NOUN
ejpam-5851	676	25	v4	v4	PROPN
ejpam-5851	676	26	=	=	SYM
ejpam-5851	676	27	0.5	0.5	NUM
ejpam-5851	676	28	,	,	PUNCT
ejpam-5851	676	29	v6	v6	NOUN
ejpam-5851	676	30	=	=	PUNCT
ejpam-5851	676	31	0.5	0.5	NUM
ejpam-5851	676	32	,	,	PUNCT
ejpam-5851	676	33	j3	j3	PROPN
ejpam-5851	676	34	=	=	SYM
ejpam-5851	676	35	5.9	5.9	NUM
ejpam-5851	676	36	,	,	PUNCT
ejpam-5851	676	37	j4	j4	PROPN
ejpam-5851	676	38	=	=	SYM
ejpam-5851	676	39	1.2	1.2	NUM
ejpam-5851	676	40	,	,	PUNCT
ejpam-5851	676	41	a	a	DET
ejpam-5851	676	42	=	=	SYM
ejpam-5851	676	43	5.7	5.7	NUM
ejpam-5851	676	44	,	,	PUNCT
ejpam-5851	676	45	b	b	NOUN
ejpam-5851	676	46	=	=	SYM
ejpam-5851	676	47	7.6	7.6	NUM
ejpam-5851	676	48	,	,	PUNCT
ejpam-5851	676	49	c	c	NOUN
ejpam-5851	676	50	=	=	SYM
ejpam-5851	676	51	4.0	4.0	NUM
ejpam-5851	676	52	,	,	PUNCT
ejpam-5851	676	53	d	d	NOUN
ejpam-5851	676	54	=	=	SYM
ejpam-5851	676	55	1	1	NUM
ejpam-5851	676	56	,	,	PUNCT
ejpam-5851	676	57	k	k	NOUN
ejpam-5851	676	58	=	=	SYM
ejpam-5851	676	59	1.2	1.2	NUM
ejpam-5851	676	60	,	,	PUNCT
ejpam-5851	676	61	ω1	ω1	PROPN
ejpam-5851	676	62	=	=	SYM
ejpam-5851	676	63	0.6	0.6	NUM
ejpam-5851	676	64	and	and	CCONJ
ejpam-5851	676	65	θ	θ	NOUN
ejpam-5851	676	66	=	=	SYM
ejpam-5851	676	67	0.1	0.1	NUM
ejpam-5851	676	68	.	.	PUNCT
ejpam-5851	677	1	figure	figure	NOUN
ejpam-5851	677	2	22	22	NUM
ejpam-5851	677	3	is	be	AUX
ejpam-5851	677	4	obtained	obtain	VERB
ejpam-5851	677	5	from	from	ADP
ejpam-5851	677	6	equation	equation	NOUN
ejpam-5851	677	7	(	(	PUNCT
ejpam-5851	677	8	84	84	NUM
ejpam-5851	677	9	)	)	PUNCT
ejpam-5851	677	10	.	.	PUNCT
ejpam-5851	678	1	5	5	X
ejpam-5851	678	2	.	.	X
ejpam-5851	678	3	discussion	discussion	NOUN
ejpam-5851	678	4	this	this	DET
ejpam-5851	678	5	section	section	NOUN
ejpam-5851	678	6	displays	display	VERB
ejpam-5851	678	7	the	the	DET
ejpam-5851	678	8	graphical	graphical	ADJ
ejpam-5851	678	9	representation	representation	NOUN
ejpam-5851	678	10	of	of	ADP
ejpam-5851	678	11	the	the	DET
ejpam-5851	678	12	travelling	travel	VERB
ejpam-5851	678	13	wave	wave	NOUN
ejpam-5851	678	14	solutions	solution	NOUN
ejpam-5851	678	15	found	find	VERB
ejpam-5851	678	16	for	for	ADP
ejpam-5851	678	17	the	the	DET
ejpam-5851	678	18	heisenberg	heisenberg	PROPN
ejpam-5851	678	19	ferromagnet	ferromagnet	NOUN
ejpam-5851	678	20	type	type	NOUN
ejpam-5851	678	21	of	of	ADP
ejpam-5851	678	22	akbota	akbota	ADJ
ejpam-5851	678	23	equation	equation	NOUN
ejpam-5851	678	24	arising	arise	VERB
ejpam-5851	678	25	in	in	ADP
ejpam-5851	678	26	surface	surface	NOUN
ejpam-5851	678	27	geometry	geometry	NOUN
ejpam-5851	678	28	.	.	PUNCT
ejpam-5851	679	1	the	the	DET
ejpam-5851	679	2	graphs	graph	NOUN
ejpam-5851	679	3	,	,	PUNCT
ejpam-5851	679	4	which	which	PRON
ejpam-5851	679	5	were	be	AUX
ejpam-5851	679	6	produced	produce	VERB
ejpam-5851	679	7	with	with	ADP
ejpam-5851	679	8	mathematica	mathematica	PROPN
ejpam-5851	679	9	,	,	PUNCT
ejpam-5851	679	10	provides	provide	VERB
ejpam-5851	679	11	a	a	DET
ejpam-5851	679	12	clear	clear	ADJ
ejpam-5851	679	13	representation	representation	NOUN
ejpam-5851	679	14	of	of	ADP
ejpam-5851	679	15	the	the	DET
ejpam-5851	679	16	soliton	soliton	NOUN
ejpam-5851	679	17	solutions	solution	NOUN
ejpam-5851	679	18	found	find	VERB
ejpam-5851	679	19	in	in	ADP
ejpam-5851	679	20	the	the	DET
ejpam-5851	679	21	preceding	precede	VERB
ejpam-5851	679	22	section	section	NOUN
ejpam-5851	679	23	.	.	PUNCT
ejpam-5851	680	1	owing	owe	VERB
ejpam-5851	680	2	to	to	ADP
ejpam-5851	680	3	the	the	DET
ejpam-5851	680	4	impact	impact	NOUN
ejpam-5851	680	5	of	of	ADP
ejpam-5851	680	6	graphical	graphical	ADJ
ejpam-5851	680	7	morphology	morphology	NOUN
ejpam-5851	680	8	on	on	ADP
ejpam-5851	680	9	the	the	DET
ejpam-5851	680	10	traveling	travel	VERB
ejpam-5851	680	11	wave	wave	NOUN
ejpam-5851	680	12	solutions	solution	NOUN
ejpam-5851	680	13	’	'	PUNCT
ejpam-5851	680	14	dynamics	dynamic	NOUN
ejpam-5851	680	15	,	,	PUNCT
ejpam-5851	680	16	we	we	PRON
ejpam-5851	680	17	have	have	AUX
ejpam-5851	680	18	illustrated	illustrate	VERB
ejpam-5851	680	19	a	a	DET
ejpam-5851	680	20	range	range	NOUN
ejpam-5851	680	21	of	of	ADP
ejpam-5851	680	22	soliton	soliton	NOUN
ejpam-5851	680	23	solution	solution	NOUN
ejpam-5851	680	24	types	type	NOUN
ejpam-5851	680	25	in	in	ADP
ejpam-5851	680	26	three	three	NUM
ejpam-5851	680	27	-	-	PUNCT
ejpam-5851	680	28	dimensional	dimensional	ADJ
ejpam-5851	680	29	and	and	CCONJ
ejpam-5851	680	30	their	their	PRON
ejpam-5851	680	31	corresponding	corresponding	ADJ
ejpam-5851	680	32	contour	contour	NOUN
ejpam-5851	680	33	and	and	CCONJ
ejpam-5851	680	34	density	density	NOUN
ejpam-5851	680	35	plots	plot	NOUN
ejpam-5851	680	36	,	,	PUNCT
ejpam-5851	680	37	including	include	VERB
ejpam-5851	680	38	m	m	NOUN
ejpam-5851	680	39	-	-	PUNCT
ejpam-5851	680	40	shaped	shape	VERB
ejpam-5851	680	41	wave	wave	NOUN
ejpam-5851	680	42	with	with	ADP
ejpam-5851	680	43	rogue	rogue	NOUN
ejpam-5851	680	44	and	and	CCONJ
ejpam-5851	680	45	kink	kink	PROPN
ejpam-5851	680	46	shaped	shape	VERB
ejpam-5851	680	47	,	,	PUNCT
ejpam-5851	680	48	multi	multi	ADJ
ejpam-5851	680	49	wave	wave	NOUN
ejpam-5851	680	50	solutions	solution	NOUN
ejpam-5851	680	51	,	,	PUNCT
ejpam-5851	680	52	periodic	periodic	ADJ
ejpam-5851	680	53	lump	lump	NOUN
ejpam-5851	680	54	solution	solution	NOUN
ejpam-5851	680	55	,	,	PUNCT
ejpam-5851	680	56	periodic	periodic	ADJ
ejpam-5851	680	57	cross	cross	NOUN
ejpam-5851	680	58	kink	kink	PROPN
ejpam-5851	680	59	wave	wave	PROPN
ejpam-5851	680	60	solution	solution	NOUN
ejpam-5851	680	61	,	,	PUNCT
ejpam-5851	680	62	homoclinic	homoclinic	ADJ
ejpam-5851	680	63	breather	breather	NOUN
ejpam-5851	680	64	wave	wave	NOUN
ejpam-5851	680	65	solution	solution	NOUN
ejpam-5851	680	66	and	and	CCONJ
ejpam-5851	680	67	mixed	mixed	ADJ
ejpam-5851	680	68	wave	wave	NOUN
ejpam-5851	680	69	solution	solution	NOUN
ejpam-5851	680	70	.	.	PUNCT
ejpam-5851	681	1	figures	figure	NOUN
ejpam-5851	681	2	(	(	PUNCT
ejpam-5851	681	3	3	3	NUM
ejpam-5851	681	4	)	)	PUNCT
ejpam-5851	681	5	and	and	CCONJ
ejpam-5851	681	6	(	(	PUNCT
ejpam-5851	681	7	4	4	X
ejpam-5851	681	8	)	)	PUNCT
ejpam-5851	681	9	are	be	AUX
ejpam-5851	681	10	acquired	acquire	VERB
ejpam-5851	681	11	from	from	ADP
ejpam-5851	681	12	the	the	DET
ejpam-5851	681	13	mrk	mrk	PROPN
ejpam-5851	681	14	wave	wave	NOUN
ejpam-5851	681	15	function	function	NOUN
ejpam-5851	681	16	.	.	PUNCT
ejpam-5851	682	1	figures	figure	NOUN
ejpam-5851	682	2	(	(	PUNCT
ejpam-5851	682	3	3)(a	3)(a	NUM
ejpam-5851	682	4	)	)	PUNCT
ejpam-5851	682	5	and	and	CCONJ
ejpam-5851	682	6	(	(	PUNCT
ejpam-5851	682	7	4	4	NUM
ejpam-5851	682	8	)	)	PUNCT
ejpam-5851	682	9	(	(	PUNCT
ejpam-5851	682	10	a	a	X
ejpam-5851	682	11	)	)	PUNCT
ejpam-5851	682	12	show	show	VERB
ejpam-5851	682	13	a	a	DET
ejpam-5851	682	14	3d	3d	NUM
ejpam-5851	682	15	surface	surface	NOUN
ejpam-5851	682	16	plot	plot	NOUN
ejpam-5851	682	17	,	,	PUNCT
ejpam-5851	682	18	which	which	PRON
ejpam-5851	682	19	exhibits	exhibit	VERB
ejpam-5851	682	20	a	a	DET
ejpam-5851	682	21	periodic	periodic	ADJ
ejpam-5851	682	22	wave	wave	NOUN
ejpam-5851	682	23	structure	structure	NOUN
ejpam-5851	682	24	in	in	ADP
ejpam-5851	682	25	space	space	NOUN
ejpam-5851	682	26	and	and	CCONJ
ejpam-5851	682	27	time	time	NOUN
ejpam-5851	682	28	,	,	PUNCT
ejpam-5851	682	29	reflecting	reflect	VERB
ejpam-5851	682	30	traveling	travel	VERB
ejpam-5851	682	31	wave	wave	NOUN
ejpam-5851	682	32	or	or	CCONJ
ejpam-5851	682	33	soliton	soliton	NOUN
ejpam-5851	682	34	-	-	PUNCT
ejpam-5851	682	35	like	like	ADP
ejpam-5851	682	36	behavior.the	behavior.the	DET
ejpam-5851	682	37	crests	crest	NOUN
ejpam-5851	682	38	and	and	CCONJ
ejpam-5851	682	39	troughs	trough	NOUN
ejpam-5851	682	40	represent	represent	VERB
ejpam-5851	682	41	regions	region	NOUN
ejpam-5851	682	42	of	of	ADP
ejpam-5851	682	43	maximum	maximum	ADJ
ejpam-5851	682	44	and	and	CCONJ
ejpam-5851	682	45	minimum	minimum	ADJ
ejpam-5851	682	46	amplitude	amplitude	NOUN
ejpam-5851	682	47	,	,	PUNCT
ejpam-5851	682	48	demonstrating	demonstrate	VERB
ejpam-5851	682	49	the	the	DET
ejpam-5851	682	50	way	way	NOUN
ejpam-5851	682	51	that	that	PRON
ejpam-5851	682	52	the	the	DET
ejpam-5851	682	53	wave	wave	NOUN
ejpam-5851	682	54	continuously	continuously	ADV
ejpam-5851	682	55	varies	vary	VERB
ejpam-5851	682	56	shape	shape	NOUN
ejpam-5851	682	57	but	but	CCONJ
ejpam-5851	682	58	preserves	preserve	VERB
ejpam-5851	682	59	its	its	PRON
ejpam-5851	682	60	ordered	order	VERB
ejpam-5851	682	61	form	form	NOUN
ejpam-5851	682	62	.	.	PUNCT
ejpam-5851	683	1	figures	figure	NOUN
ejpam-5851	683	2	(	(	PUNCT
ejpam-5851	683	3	3	3	NUM
ejpam-5851	683	4	)	)	PUNCT
ejpam-5851	683	5	(	(	PUNCT
ejpam-5851	683	6	b	b	NOUN
ejpam-5851	683	7	)	)	PUNCT
ejpam-5851	683	8	and	and	CCONJ
ejpam-5851	683	9	(	(	PUNCT
ejpam-5851	683	10	4	4	NUM
ejpam-5851	683	11	)	)	PUNCT
ejpam-5851	683	12	(	(	PUNCT
ejpam-5851	683	13	b	b	X
ejpam-5851	683	14	)	)	PUNCT
ejpam-5851	683	15	depict	depict	NOUN
ejpam-5851	683	16	a	a	DET
ejpam-5851	683	17	contour	contour	NOUN
ejpam-5851	683	18	plot	plot	NOUN
ejpam-5851	683	19	,	,	PUNCT
ejpam-5851	683	20	presenting	present	VERB
ejpam-5851	683	21	the	the	DET
ejpam-5851	683	22	bird	bird	NOUN
ejpam-5851	683	23	’s	’s	PART
ejpam-5851	683	24	eye	eye	NOUN
ejpam-5851	683	25	view	view	NOUN
ejpam-5851	683	26	of	of	ADP
ejpam-5851	683	27	the	the	DET
ejpam-5851	683	28	wave	wave	NOUN
ejpam-5851	683	29	pattern	pattern	NOUN
ejpam-5851	683	30	focusing	focus	VERB
ejpam-5851	683	31	on	on	ADP
ejpam-5851	683	32	periodicity	periodicity	NOUN
ejpam-5851	683	33	and	and	CCONJ
ejpam-5851	683	34	phase	phase	NOUN
ejpam-5851	683	35	shift	shift	NOUN
ejpam-5851	683	36	.	.	PUNCT
ejpam-5851	684	1	parallel	parallel	ADJ
ejpam-5851	684	2	nature	nature	NOUN
ejpam-5851	684	3	of	of	ADP
ejpam-5851	684	4	the	the	DET
ejpam-5851	684	5	contours	contours	NOUN
ejpam-5851	684	6	indicates	indicate	VERB
ejpam-5851	684	7	uniform	uniform	ADJ
ejpam-5851	684	8	propagation	propagation	NOUN
ejpam-5851	684	9	with	with	ADP
ejpam-5851	684	10	unvarying	unvarye	VERB
ejpam-5851	684	11	velocity	velocity	NOUN
ejpam-5851	684	12	and	and	CCONJ
ejpam-5851	684	13	wavelength	wavelength	NOUN
ejpam-5851	684	14	typical	typical	ADJ
ejpam-5851	684	15	of	of	ADP
ejpam-5851	684	16	nonlinear	nonlinear	ADJ
ejpam-5851	684	17	wave	wave	NOUN
ejpam-5851	684	18	propagation	propagation	NOUN
ejpam-5851	684	19	.	.	PUNCT
ejpam-5851	685	1	on	on	ADP
ejpam-5851	685	2	the	the	DET
ejpam-5851	685	3	other	other	ADJ
ejpam-5851	685	4	hand	hand	NOUN
ejpam-5851	685	5	,	,	PUNCT
ejpam-5851	685	6	figures	figure	NOUN
ejpam-5851	685	7	(	(	PUNCT
ejpam-5851	685	8	3	3	NUM
ejpam-5851	685	9	)	)	PUNCT
ejpam-5851	685	10	(	(	PUNCT
ejpam-5851	685	11	c	c	NOUN
ejpam-5851	685	12	)	)	PUNCT
ejpam-5851	685	13	and	and	CCONJ
ejpam-5851	685	14	(	(	PUNCT
ejpam-5851	685	15	13	13	NUM
ejpam-5851	685	16	)	)	PUNCT
ejpam-5851	685	17	(	(	PUNCT
ejpam-5851	685	18	c	c	X
ejpam-5851	685	19	)	)	PUNCT
ejpam-5851	685	20	illustrate	illustrate	VERB
ejpam-5851	685	21	a	a	DET
ejpam-5851	685	22	density	density	NOUN
ejpam-5851	685	23	plot	plot	NOUN
ejpam-5851	685	24	,	,	PUNCT
ejpam-5851	685	25	whose	whose	DET
ejpam-5851	685	26	color	color	NOUN
ejpam-5851	685	27	saturation	saturation	NOUN
ejpam-5851	685	28	variation	variation	NOUN
ejpam-5851	685	29	tells	tell	VERB
ejpam-5851	685	30	us	we	PRON
ejpam-5851	685	31	about	about	ADP
ejpam-5851	685	32	different	different	ADJ
ejpam-5851	685	33	amplitudes	amplitude	NOUN
ejpam-5851	685	34	.	.	PUNCT
ejpam-5851	686	1	alternating	alternate	VERB
ejpam-5851	686	2	high	high	ADJ
ejpam-5851	686	3	and	and	CCONJ
ejpam-5851	686	4	low	low	ADJ
ejpam-5851	686	5	value	value	NOUN
ejpam-5851	686	6	bands	band	NOUN
ejpam-5851	686	7	establish	establish	VERB
ejpam-5851	686	8	periodic	periodic	ADJ
ejpam-5851	686	9	motion	motion	NOUN
ejpam-5851	686	10	of	of	ADP
ejpam-5851	686	11	the	the	DET
ejpam-5851	686	12	wave	wave	NOUN
ejpam-5851	686	13	,	,	PUNCT
ejpam-5851	686	14	and	and	CCONJ
ejpam-5851	686	15	the	the	DET
ejpam-5851	686	16	smooth	smooth	ADJ
ejpam-5851	686	17	transition	transition	NOUN
ejpam-5851	686	18	shows	show	VERB
ejpam-5851	686	19	continuous	continuous	ADJ
ejpam-5851	686	20	and	and	CCONJ
ejpam-5851	686	21	differentiable	differentiable	ADJ
ejpam-5851	686	22	motion	motion	NOUN
ejpam-5851	686	23	necessary	necessary	ADJ
ejpam-5851	686	24	in	in	ADP
ejpam-5851	686	25	surface	surface	NOUN
ejpam-5851	686	26	geometry	geometry	NOUN
ejpam-5851	686	27	and	and	CCONJ
ejpam-5851	686	28	curve	curve	NOUN
ejpam-5851	686	29	analysis	analysis	NOUN
ejpam-5851	686	30	.	.	PUNCT
ejpam-5851	687	1	figures	figure	NOUN
ejpam-5851	687	2	(	(	PUNCT
ejpam-5851	687	3	5)(a	5)(a	NOUN
ejpam-5851	687	4	)	)	PUNCT
ejpam-5851	687	5	and	and	CCONJ
ejpam-5851	687	6	(	(	PUNCT
ejpam-5851	687	7	6)(a	6)(a	NOUN
ejpam-5851	687	8	)	)	PUNCT
ejpam-5851	687	9	arises	arise	VERB
ejpam-5851	687	10	from	from	ADP
ejpam-5851	687	11	the	the	DET
ejpam-5851	687	12	mu	mu	PROPN
ejpam-5851	687	13	wave	wave	PROPN
ejpam-5851	687	14	function	function	PROPN
ejpam-5851	687	15	.	.	PUNCT
ejpam-5851	688	1	a	a	DET
ejpam-5851	688	2	detailed	detailed	ADJ
ejpam-5851	688	3	wave	wave	NOUN
ejpam-5851	688	4	interactions	interaction	NOUN
ejpam-5851	688	5	are	be	AUX
ejpam-5851	688	6	given	give	VERB
ejpam-5851	688	7	in	in	ADP
ejpam-5851	688	8	figure	figure	NOUN
ejpam-5851	688	9	(	(	PUNCT
ejpam-5851	688	10	6	6	NUM
ejpam-5851	688	11	)	)	PUNCT
ejpam-5851	688	12	(	(	PUNCT
ejpam-5851	688	13	a	a	X
ejpam-5851	688	14	)	)	PUNCT
ejpam-5851	688	15	,	,	PUNCT
ejpam-5851	688	16	showing	show	VERB
ejpam-5851	688	17	a	a	DET
ejpam-5851	688	18	very	very	ADV
ejpam-5851	688	19	organized	organized	ADJ
ejpam-5851	688	20	,	,	PUNCT
ejpam-5851	688	21	multi	multi	ADJ
ejpam-5851	688	22	-	-	ADJ
ejpam-5851	688	23	peaked	peaked	ADJ
ejpam-5851	688	24	wave	wave	NOUN
ejpam-5851	688	25	profile	profile	NOUN
ejpam-5851	688	26	with	with	ADP
ejpam-5851	688	27	a	a	DET
ejpam-5851	688	28	checkerboardtype	checkerboardtype	NOUN
ejpam-5851	688	29	modulation	modulation	NOUN
ejpam-5851	688	30	,	,	PUNCT
ejpam-5851	688	31	characteristic	characteristic	NOUN
ejpam-5851	688	32	of	of	ADP
ejpam-5851	688	33	nonlinear	nonlinear	ADJ
ejpam-5851	688	34	interactions	interaction	NOUN
ejpam-5851	688	35	or	or	CCONJ
ejpam-5851	688	36	potential	potential	ADJ
ejpam-5851	688	37	breather	breather	ADJ
ejpam-5851	688	38	-	-	PUNCT
ejpam-5851	688	39	type	type	NOUN
ejpam-5851	688	40	structures	structure	NOUN
ejpam-5851	688	41	.	.	PUNCT
ejpam-5851	689	1	in	in	ADP
ejpam-5851	689	2	contrast	contrast	NOUN
ejpam-5851	689	3	to	to	ADP
ejpam-5851	689	4	pure	pure	ADJ
ejpam-5851	689	5	sinusoidal	sinusoidal	ADJ
ejpam-5851	689	6	waves	wave	NOUN
ejpam-5851	689	7	,	,	PUNCT
ejpam-5851	689	8	the	the	DET
ejpam-5851	689	9	modulated	modulate	VERB
ejpam-5851	689	10	nature	nature	NOUN
ejpam-5851	689	11	of	of	ADP
ejpam-5851	689	12	this	this	DET
ejpam-5851	689	13	structure	structure	NOUN
ejpam-5851	689	14	indicates	indicate	VERB
ejpam-5851	689	15	higherorder	higherorder	NOUN
ejpam-5851	689	16	soliton	soliton	NOUN
ejpam-5851	689	17	interaction	interaction	NOUN
ejpam-5851	689	18	,	,	PUNCT
ejpam-5851	689	19	quasi	quasi	NOUN
ejpam-5851	689	20	-	-	NOUN
ejpam-5851	689	21	periodicity	periodicity	NOUN
ejpam-5851	689	22	,	,	PUNCT
ejpam-5851	689	23	or	or	CCONJ
ejpam-5851	689	24	interference	interference	NOUN
ejpam-5851	689	25	effects	effect	NOUN
ejpam-5851	689	26	.	.	PUNCT
ejpam-5851	690	1	the	the	DET
ejpam-5851	690	2	associated	associated	ADJ
ejpam-5851	690	3	contour	contour	NOUN
ejpam-5851	690	4	plot	plot	NOUN
ejpam-5851	690	5	in	in	ADP
ejpam-5851	690	6	figure	figure	NOUN
ejpam-5851	690	7	(	(	PUNCT
ejpam-5851	690	8	6	6	NUM
ejpam-5851	690	9	)	)	PUNCT
ejpam-5851	690	10	(	(	PUNCT
ejpam-5851	690	11	b	b	X
ejpam-5851	690	12	)	)	PUNCT
ejpam-5851	690	13	shows	show	VERB
ejpam-5851	690	14	a	a	DET
ejpam-5851	690	15	close	close	ADV
ejpam-5851	690	16	-	-	PUNCT
ejpam-5851	690	17	packed	pack	VERB
ejpam-5851	690	18	pattern	pattern	NOUN
ejpam-5851	690	19	of	of	ADP
ejpam-5851	690	20	alternating	alternate	VERB
ejpam-5851	690	21	wave	wave	NOUN
ejpam-5851	690	22	crests	crest	NOUN
ejpam-5851	690	23	and	and	CCONJ
ejpam-5851	690	24	troughs	troughs	NOUN
ejpam-5851	690	25	,	,	PUNCT
ejpam-5851	690	26	consisting	consist	VERB
ejpam-5851	690	27	of	of	ADP
ejpam-5851	690	28	diagonal	diagonal	ADJ
ejpam-5851	690	29	wavefronts	wavefront	NOUN
ejpam-5851	690	30	reminiscent	reminiscent	ADJ
ejpam-5851	690	31	of	of	ADP
ejpam-5851	690	32	a	a	DET
ejpam-5851	690	33	nontrivial	nontrivial	ADJ
ejpam-5851	690	34	dispersion	dispersion	NOUN
ejpam-5851	690	35	relation.this	relation.this	PRON
ejpam-5851	690	36	periodicity	periodicity	NOUN
ejpam-5851	690	37	in	in	ADP
ejpam-5851	690	38	an	an	DET
ejpam-5851	690	39	ordered	order	VERB
ejpam-5851	690	40	fashion	fashion	NOUN
ejpam-5851	690	41	can	can	AUX
ejpam-5851	690	42	be	be	AUX
ejpam-5851	690	43	indicative	indicative	ADJ
ejpam-5851	690	44	of	of	ADP
ejpam-5851	690	45	wave	wave	NOUN
ejpam-5851	690	46	turbulence	turbulence	NOUN
ejpam-5851	690	47	,	,	PUNCT
ejpam-5851	690	48	breather	breather	NOUN
ejpam-5851	690	49	dynamics	dynamic	NOUN
ejpam-5851	690	50	,	,	PUNCT
ejpam-5851	690	51	or	or	CCONJ
ejpam-5851	690	52	multi	multi	ADJ
ejpam-5851	690	53	-	-	ADJ
ejpam-5851	690	54	soliton	soliton	ADJ
ejpam-5851	690	55	interactions	interaction	NOUN
ejpam-5851	690	56	.	.	PUNCT
ejpam-5851	691	1	the	the	DET
ejpam-5851	691	2	intensity	intensity	NOUN
ejpam-5851	691	3	variation	variation	NOUN
ejpam-5851	691	4	is	be	AUX
ejpam-5851	691	5	also	also	ADV
ejpam-5851	691	6	highlighted	highlight	VERB
ejpam-5851	691	7	in	in	ADP
ejpam-5851	691	8	the	the	DET
ejpam-5851	691	9	density	density	NOUN
ejpam-5851	691	10	plot	plot	NOUN
ejpam-5851	691	11	in	in	ADP
ejpam-5851	691	12	figure	figure	NOUN
ejpam-5851	691	13	(	(	PUNCT
ejpam-5851	691	14	6	6	NUM
ejpam-5851	691	15	)	)	PUNCT
ejpam-5851	691	16	(	(	PUNCT
ejpam-5851	691	17	c	c	NOUN
ejpam-5851	691	18	)	)	PUNCT
ejpam-5851	691	19	,	,	PUNCT
ejpam-5851	691	20	where	where	SCONJ
ejpam-5851	691	21	high	high	ADJ
ejpam-5851	691	22	-	-	PUNCT
ejpam-5851	691	23	contrast	contrast	NOUN
ejpam-5851	691	24	regions	region	NOUN
ejpam-5851	691	25	indicate	indicate	VERB
ejpam-5851	691	26	large	large	ADJ
ejpam-5851	691	27	wave	wave	NOUN
ejpam-5851	691	28	amplitude	amplitude	NOUN
ejpam-5851	691	29	modulations	modulation	NOUN
ejpam-5851	691	30	.	.	PUNCT
ejpam-5851	692	1	the	the	DET
ejpam-5851	692	2	diagonal	diagonal	ADJ
ejpam-5851	692	3	nature	nature	NOUN
ejpam-5851	692	4	of	of	ADP
ejpam-5851	692	5	these	these	DET
ejpam-5851	692	6	patterns	pattern	NOUN
ejpam-5851	692	7	supports	support	VERB
ejpam-5851	692	8	complex	complex	ADJ
ejpam-5851	692	9	wave	wave	NOUN
ejpam-5851	692	10	dynamics	dynamic	NOUN
ejpam-5851	692	11	,	,	PUNCT
ejpam-5851	692	12	indicating	indicate	VERB
ejpam-5851	692	13	multi	multi	ADJ
ejpam-5851	692	14	wave	wave	NOUN
ejpam-5851	692	15	shaped	shape	VERB
ejpam-5851	692	16	structures	structure	NOUN
ejpam-5851	692	17	in	in	ADP
ejpam-5851	692	18	certain	certain	ADJ
ejpam-5851	692	19	cross	cross	ADJ
ejpam-5851	692	20	-	-	ADJ
ejpam-5851	692	21	sectional	sectional	ADJ
ejpam-5851	692	22	profiles	profile	NOUN
ejpam-5851	692	23	.	.	PUNCT
ejpam-5851	693	1	figures	figure	NOUN
ejpam-5851	693	2	4	4	NUM
ejpam-5851	693	3	-	-	SYM
ejpam-5851	693	4	6	6	NUM
ejpam-5851	693	5	extend	extend	VERB
ejpam-5851	693	6	this	this	DET
ejpam-5851	693	7	investigation	investigation	NOUN
ejpam-5851	693	8	to	to	PART
ejpam-5851	693	9	show	show	VERB
ejpam-5851	693	10	extremely	extremely	ADV
ejpam-5851	693	11	structured	structured	ADJ
ejpam-5851	693	12	,	,	PUNCT
ejpam-5851	693	13	multi	multi	ADJ
ejpam-5851	693	14	-	-	ADJ
ejpam-5851	693	15	peak	peak	ADJ
ejpam-5851	693	16	wave	wave	NOUN
ejpam-5851	693	17	forms	form	NOUN
ejpam-5851	693	18	with	with	ADP
ejpam-5851	693	19	closely	closely	ADV
ejpam-5851	693	20	packed	packed	ADJ
ejpam-5851	693	21	,	,	PUNCT
ejpam-5851	693	22	modulated	modulate	VERB
ejpam-5851	693	23	patterns	pattern	NOUN
ejpam-5851	693	24	.	.	PUNCT
ejpam-5851	694	1	in	in	ADP
ejpam-5851	694	2	figure	figure	NOUN
ejpam-5851	694	3	(	(	PUNCT
ejpam-5851	694	4	7	7	NUM
ejpam-5851	694	5	)	)	PUNCT
ejpam-5851	694	6	(	(	PUNCT
ejpam-5851	694	7	a	a	X
ejpam-5851	694	8	)	)	PUNCT
ejpam-5851	694	9	,	,	PUNCT
ejpam-5851	694	10	the	the	DET
ejpam-5851	694	11	occurrence	occurrence	NOUN
ejpam-5851	694	12	of	of	ADP
ejpam-5851	694	13	sharp	sharp	ADJ
ejpam-5851	694	14	peaks	peak	NOUN
ejpam-5851	694	15	and	and	CCONJ
ejpam-5851	694	16	troughs	troughs	NOUN
ejpam-5851	694	17	indicates	indicate	VERB
ejpam-5851	694	18	strongly	strongly	ADV
ejpam-5851	694	19	nonlinear	nonlinear	ADJ
ejpam-5851	694	20	interactions	interaction	NOUN
ejpam-5851	694	21	,	,	PUNCT
ejpam-5851	694	22	possibly	possibly	ADV
ejpam-5851	694	23	of	of	ADP
ejpam-5851	694	24	higher	high	ADJ
ejpam-5851	694	25	-	-	PUNCT
ejpam-5851	694	26	order	order	NOUN
ejpam-5851	694	27	soliton	soliton	NOUN
ejpam-5851	694	28	structures	structure	NOUN
ejpam-5851	694	29	or	or	CCONJ
ejpam-5851	694	30	breather	breather	NOUN
ejpam-5851	694	31	-	-	PUNCT
ejpam-5851	694	32	type	type	NOUN
ejpam-5851	694	33	dynamics	dynamic	NOUN
ejpam-5851	694	34	.	.	PUNCT
ejpam-5851	695	1	the	the	DET
ejpam-5851	695	2	contour	contour	NOUN
ejpam-5851	695	3	plot	plot	NOUN
ejpam-5851	695	4	shown	show	VERB
ejpam-5851	695	5	in	in	ADP
ejpam-5851	695	6	figure	figure	NOUN
ejpam-5851	695	7	(	(	PUNCT
ejpam-5851	695	8	7	7	NUM
ejpam-5851	695	9	)	)	PUNCT
ejpam-5851	695	10	(	(	PUNCT
ejpam-5851	695	11	b	b	X
ejpam-5851	695	12	)	)	PUNCT
ejpam-5851	695	13	is	be	AUX
ejpam-5851	695	14	a	a	DET
ejpam-5851	695	15	diagonal	diagonal	ADJ
ejpam-5851	695	16	wavefront	wavefront	ADJ
ejpam-5851	695	17	structure	structure	NOUN
ejpam-5851	695	18	with	with	ADP
ejpam-5851	695	19	well	well	ADV
ejpam-5851	695	20	-	-	PUNCT
ejpam-5851	695	21	behaved	behave	VERB
ejpam-5851	695	22	periodicity	periodicity	NOUN
ejpam-5851	695	23	,	,	PUNCT
ejpam-5851	695	24	establishing	establish	VERB
ejpam-5851	695	25	the	the	DET
ejpam-5851	695	26	interaction	interaction	NOUN
ejpam-5851	695	27	of	of	ADP
ejpam-5851	695	28	dispersion	dispersion	NOUN
ejpam-5851	695	29	and	and	CCONJ
ejpam-5851	695	30	nonlinearity	nonlinearity	NOUN
ejpam-5851	695	31	in	in	ADP
ejpam-5851	695	32	determining	determine	VERB
ejpam-5851	695	33	wave	wave	NOUN
ejpam-5851	695	34	propagation	propagation	NOUN
ejpam-5851	695	35	.	.	PUNCT
ejpam-5851	696	1	likewise	likewise	ADV
ejpam-5851	696	2	,	,	PUNCT
ejpam-5851	696	3	figure	figure	NOUN
ejpam-5851	696	4	(	(	PUNCT
ejpam-5851	696	5	7	7	NUM
ejpam-5851	696	6	)	)	PUNCT
ejpam-5851	696	7	(	(	PUNCT
ejpam-5851	696	8	c	c	X
ejpam-5851	696	9	)	)	PUNCT
ejpam-5851	696	10	b.	b.	PROPN
ejpam-5851	697	1	ceesay	ceesay	PROPN
ejpam-5851	697	2	et	et	PROPN
ejpam-5851	697	3	al	al	PROPN
ejpam-5851	697	4	.	.	PUNCT
ejpam-5851	697	5	/	/	SYM
ejpam-5851	697	6	eur	eur	PROPN
ejpam-5851	697	7	.	.	PUNCT
ejpam-5851	698	1	j.	j.	PROPN
ejpam-5851	698	2	pure	pure	PROPN
ejpam-5851	698	3	appl	appl	PROPN
ejpam-5851	698	4	.	.	PROPN
ejpam-5851	698	5	math	math	PROPN
ejpam-5851	698	6	,	,	PUNCT
ejpam-5851	698	7	18	18	NUM
ejpam-5851	698	8	(	(	PUNCT
ejpam-5851	698	9	2	2	NUM
ejpam-5851	698	10	)	)	PUNCT
ejpam-5851	698	11	(	(	PUNCT
ejpam-5851	698	12	2025	2025	NUM
ejpam-5851	698	13	)	)	PUNCT
ejpam-5851	698	14	,	,	PUNCT
ejpam-5851	698	15	5851	5851	NUM
ejpam-5851	698	16	27	27	NUM
ejpam-5851	698	17	of	of	ADP
ejpam-5851	698	18	32	32	NUM
ejpam-5851	698	19	density	density	NOUN
ejpam-5851	698	20	plot	plot	NOUN
ejpam-5851	698	21	verifies	verifie	NOUN
ejpam-5851	698	22	the	the	DET
ejpam-5851	698	23	existence	existence	NOUN
ejpam-5851	698	24	of	of	ADP
ejpam-5851	698	25	structured	structured	ADJ
ejpam-5851	698	26	periodicity	periodicity	NOUN
ejpam-5851	698	27	as	as	ADV
ejpam-5851	698	28	well	well	ADV
ejpam-5851	698	29	as	as	ADP
ejpam-5851	698	30	modulation	modulation	NOUN
ejpam-5851	698	31	effects	effect	NOUN
ejpam-5851	698	32	,	,	PUNCT
ejpam-5851	698	33	enhancing	enhance	VERB
ejpam-5851	698	34	the	the	DET
ejpam-5851	698	35	likelihood	likelihood	NOUN
ejpam-5851	698	36	of	of	ADP
ejpam-5851	698	37	breather	breather	NOUN
ejpam-5851	698	38	-	-	PUNCT
ejpam-5851	698	39	type	type	NOUN
ejpam-5851	698	40	dynamics	dynamic	NOUN
ejpam-5851	698	41	.	.	PUNCT
ejpam-5851	699	1	figures	figure	NOUN
ejpam-5851	699	2	(	(	PUNCT
ejpam-5851	699	3	8)	8)	NUM
ejpam-5851	699	4	and	and	CCONJ
ejpam-5851	699	5	(	(	PUNCT
ejpam-5851	699	6	9	9	NUM
ejpam-5851	699	7	)	)	PUNCT
ejpam-5851	699	8	also	also	ADV
ejpam-5851	699	9	obtained	obtain	VERB
ejpam-5851	699	10	from	from	ADP
ejpam-5851	699	11	mu	mu	PROPN
ejpam-5851	699	12	wave	wave	NOUN
ejpam-5851	699	13	function	function	NOUN
ejpam-5851	699	14	,	,	PUNCT
ejpam-5851	699	15	have	have	VERB
ejpam-5851	699	16	similar	similar	ADJ
ejpam-5851	699	17	properties	property	NOUN
ejpam-5851	699	18	,	,	PUNCT
ejpam-5851	699	19	with	with	ADP
ejpam-5851	699	20	3d	3d	NUM
ejpam-5851	699	21	surface	surface	NOUN
ejpam-5851	699	22	plots	plot	NOUN
ejpam-5851	699	23	in	in	ADP
ejpam-5851	699	24	figures	figure	NOUN
ejpam-5851	699	25	(	(	PUNCT
ejpam-5851	699	26	8)	8)	NUM
ejpam-5851	699	27	(	(	PUNCT
ejpam-5851	699	28	a	a	NOUN
ejpam-5851	699	29	)	)	PUNCT
ejpam-5851	699	30	and	and	CCONJ
ejpam-5851	699	31	(	(	PUNCT
ejpam-5851	699	32	9	9	NUM
ejpam-5851	699	33	)	)	PUNCT
ejpam-5851	699	34	(	(	PUNCT
ejpam-5851	699	35	a	a	X
ejpam-5851	699	36	)	)	PUNCT
ejpam-5851	699	37	displaying	display	VERB
ejpam-5851	699	38	complex	complex	ADJ
ejpam-5851	699	39	wave	wave	NOUN
ejpam-5851	699	40	structures	structure	NOUN
ejpam-5851	699	41	characterized	characterize	VERB
ejpam-5851	699	42	by	by	ADP
ejpam-5851	699	43	sharp	sharp	ADJ
ejpam-5851	699	44	oscillations	oscillation	NOUN
ejpam-5851	699	45	and	and	CCONJ
ejpam-5851	699	46	multi	multi	ADJ
ejpam-5851	699	47	-	-	ADJ
ejpam-5851	699	48	scale	scale	ADJ
ejpam-5851	699	49	variations	variation	NOUN
ejpam-5851	699	50	.	.	PUNCT
ejpam-5851	700	1	their	their	PRON
ejpam-5851	700	2	respective	respective	ADJ
ejpam-5851	700	3	contour	contour	NOUN
ejpam-5851	700	4	and	and	CCONJ
ejpam-5851	700	5	density	density	NOUN
ejpam-5851	700	6	plots	plot	NOUN
ejpam-5851	700	7	indicate	indicate	VERB
ejpam-5851	700	8	tilted	tilted	ADJ
ejpam-5851	700	9	alternating	alternate	VERB
ejpam-5851	700	10	bands	band	NOUN
ejpam-5851	700	11	of	of	ADP
ejpam-5851	700	12	peaks	peak	NOUN
ejpam-5851	700	13	and	and	CCONJ
ejpam-5851	700	14	troughs	trough	NOUN
ejpam-5851	700	15	of	of	ADP
ejpam-5851	700	16	waves	wave	NOUN
ejpam-5851	700	17	and	and	CCONJ
ejpam-5851	700	18	thus	thus	ADV
ejpam-5851	700	19	strong	strong	ADJ
ejpam-5851	700	20	spatial	spatial	ADJ
ejpam-5851	700	21	periodicity	periodicity	NOUN
ejpam-5851	700	22	coupled	couple	VERB
ejpam-5851	700	23	with	with	ADP
ejpam-5851	700	24	modulated	modulate	VERB
ejpam-5851	700	25	intensity	intensity	NOUN
ejpam-5851	700	26	variations	variation	NOUN
ejpam-5851	700	27	.	.	PUNCT
ejpam-5851	701	1	these	these	DET
ejpam-5851	701	2	observations	observation	NOUN
ejpam-5851	701	3	indicate	indicate	VERB
ejpam-5851	701	4	the	the	DET
ejpam-5851	701	5	occurrence	occurrence	NOUN
ejpam-5851	701	6	of	of	ADP
ejpam-5851	701	7	modulation	modulation	NOUN
ejpam-5851	701	8	instability	instability	NOUN
ejpam-5851	701	9	effects	effect	NOUN
ejpam-5851	701	10	,	,	PUNCT
ejpam-5851	701	11	hybrid	hybrid	ADJ
ejpam-5851	701	12	soliton	soliton	NOUN
ejpam-5851	701	13	-	-	PUNCT
ejpam-5851	701	14	breather	breather	NOUN
ejpam-5851	701	15	formations	formation	NOUN
ejpam-5851	701	16	.	.	PUNCT
ejpam-5851	702	1	figures	figure	NOUN
ejpam-5851	702	2	(	(	PUNCT
ejpam-5851	702	3	9	9	NUM
ejpam-5851	702	4	)	)	PUNCT
ejpam-5851	702	5	and	and	CCONJ
ejpam-5851	702	6	(	(	PUNCT
ejpam-5851	702	7	10	10	NUM
ejpam-5851	702	8	)	)	PUNCT
ejpam-5851	702	9	are	be	AUX
ejpam-5851	702	10	acquired	acquire	VERB
ejpam-5851	702	11	from	from	ADP
ejpam-5851	702	12	the	the	DET
ejpam-5851	702	13	pl	pl	PROPN
ejpam-5851	702	14	wave	wave	NOUN
ejpam-5851	702	15	unction	unction	NOUN
ejpam-5851	702	16	.	.	PUNCT
ejpam-5851	703	1	figures	figure	NOUN
ejpam-5851	703	2	(	(	PUNCT
ejpam-5851	703	3	9	9	NUM
ejpam-5851	703	4	)	)	PUNCT
ejpam-5851	703	5	(	(	PUNCT
ejpam-5851	703	6	a	a	X
ejpam-5851	703	7	)	)	PUNCT
ejpam-5851	703	8	and	and	CCONJ
ejpam-5851	703	9	(	(	PUNCT
ejpam-5851	703	10	10	10	NUM
ejpam-5851	703	11	)	)	PUNCT
ejpam-5851	703	12	(	(	PUNCT
ejpam-5851	703	13	a	a	X
ejpam-5851	703	14	)	)	PUNCT
ejpam-5851	703	15	illustrate	illustrate	ADJ
ejpam-5851	703	16	features	feature	NOUN
ejpam-5851	703	17	of	of	ADP
ejpam-5851	703	18	periodic	periodic	ADJ
ejpam-5851	703	19	lump	lump	NOUN
ejpam-5851	703	20	waves	wave	NOUN
ejpam-5851	703	21	.	.	PUNCT
ejpam-5851	704	1	a	a	DET
ejpam-5851	704	2	lump	lump	NOUN
ejpam-5851	704	3	wave	wave	NOUN
ejpam-5851	704	4	is	be	AUX
ejpam-5851	704	5	a	a	DET
ejpam-5851	704	6	localized	localized	ADJ
ejpam-5851	704	7	rational	rational	ADJ
ejpam-5851	704	8	solution	solution	NOUN
ejpam-5851	704	9	of	of	ADP
ejpam-5851	704	10	some	some	DET
ejpam-5851	704	11	nonlinear	nonlinear	ADJ
ejpam-5851	704	12	wave	wave	NOUN
ejpam-5851	704	13	equations	equation	NOUN
ejpam-5851	704	14	,	,	PUNCT
ejpam-5851	704	15	commonly	commonly	ADV
ejpam-5851	704	16	an	an	DET
ejpam-5851	704	17	isolated	isolated	ADJ
ejpam-5851	704	18	peak	peak	NOUN
ejpam-5851	704	19	in	in	ADP
ejpam-5851	704	20	space	space	NOUN
ejpam-5851	704	21	and	and	CCONJ
ejpam-5851	704	22	time	time	NOUN
ejpam-5851	704	23	.	.	PUNCT
ejpam-5851	705	1	but	but	CCONJ
ejpam-5851	705	2	periodic	periodic	ADJ
ejpam-5851	705	3	lump	lump	NOUN
ejpam-5851	705	4	structures	structure	NOUN
ejpam-5851	705	5	occur	occur	VERB
ejpam-5851	705	6	when	when	SCONJ
ejpam-5851	705	7	such	such	ADJ
ejpam-5851	705	8	solutions	solution	NOUN
ejpam-5851	705	9	recur	recur	VERB
ejpam-5851	705	10	periodically	periodically	ADV
ejpam-5851	705	11	at	at	ADP
ejpam-5851	705	12	regular	regular	ADJ
ejpam-5851	705	13	intervals	interval	NOUN
ejpam-5851	705	14	.	.	PUNCT
ejpam-5851	706	1	in	in	ADP
ejpam-5851	706	2	figure	figure	NOUN
ejpam-5851	706	3	7(a	7(a	NUM
ejpam-5851	706	4	)	)	PUNCT
ejpam-5851	706	5	,	,	PUNCT
ejpam-5851	706	6	the	the	DET
ejpam-5851	706	7	3d	3d	PROPN
ejpam-5851	706	8	plot	plot	NOUN
ejpam-5851	706	9	shows	show	VERB
ejpam-5851	706	10	well	well	ADV
ejpam-5851	706	11	-	-	PUNCT
ejpam-5851	706	12	separated	separate	VERB
ejpam-5851	706	13	,	,	PUNCT
ejpam-5851	706	14	localized	localized	ADJ
ejpam-5851	706	15	peaks	peak	NOUN
ejpam-5851	706	16	on	on	ADP
ejpam-5851	706	17	a	a	DET
ejpam-5851	706	18	flat	flat	ADJ
ejpam-5851	706	19	background	background	NOUN
ejpam-5851	706	20	,	,	PUNCT
ejpam-5851	706	21	characteristic	characteristic	ADJ
ejpam-5851	706	22	of	of	ADP
ejpam-5851	706	23	periodic	periodic	ADJ
ejpam-5851	706	24	lump	lump	NOUN
ejpam-5851	706	25	waves	wave	NOUN
ejpam-5851	706	26	and	and	CCONJ
ejpam-5851	706	27	not	not	PART
ejpam-5851	706	28	isolated	isolated	ADJ
ejpam-5851	706	29	solitons	soliton	NOUN
ejpam-5851	706	30	.	.	PUNCT
ejpam-5851	707	1	the	the	DET
ejpam-5851	707	2	corresponding	corresponding	ADJ
ejpam-5851	707	3	contour	contour	NOUN
ejpam-5851	707	4	and	and	CCONJ
ejpam-5851	707	5	density	density	NOUN
ejpam-5851	707	6	plots	plot	NOUN
ejpam-5851	707	7	support	support	VERB
ejpam-5851	707	8	this	this	DET
ejpam-5851	707	9	classification	classification	NOUN
ejpam-5851	707	10	by	by	ADP
ejpam-5851	707	11	showing	show	VERB
ejpam-5851	707	12	localized	localized	ADJ
ejpam-5851	707	13	high	high	ADJ
ejpam-5851	707	14	-	-	PUNCT
ejpam-5851	707	15	intensity	intensity	NOUN
ejpam-5851	707	16	spots	spot	NOUN
ejpam-5851	707	17	along	along	ADP
ejpam-5851	707	18	a	a	DET
ejpam-5851	707	19	diagonal	diagonal	ADJ
ejpam-5851	707	20	path	path	NOUN
ejpam-5851	707	21	,	,	PUNCT
ejpam-5851	707	22	establishing	establish	VERB
ejpam-5851	707	23	the	the	DET
ejpam-5851	707	24	spatial	spatial	ADJ
ejpam-5851	707	25	and	and	CCONJ
ejpam-5851	707	26	temporal	temporal	ADJ
ejpam-5851	707	27	periodicity	periodicity	NOUN
ejpam-5851	707	28	of	of	ADP
ejpam-5851	707	29	these	these	DET
ejpam-5851	707	30	structures	structure	NOUN
ejpam-5851	707	31	.	.	PUNCT
ejpam-5851	708	1	the	the	DET
ejpam-5851	708	2	same	same	ADJ
ejpam-5851	708	3	trend	trend	NOUN
ejpam-5851	708	4	is	be	AUX
ejpam-5851	708	5	seen	see	VERB
ejpam-5851	708	6	in	in	ADP
ejpam-5851	708	7	figure	figure	NOUN
ejpam-5851	708	8	8	8	NUM
ejpam-5851	708	9	,	,	PUNCT
ejpam-5851	708	10	where	where	SCONJ
ejpam-5851	708	11	a	a	DET
ejpam-5851	708	12	train	train	NOUN
ejpam-5851	708	13	of	of	ADP
ejpam-5851	708	14	sharp	sharp	ADJ
ejpam-5851	708	15	,	,	PUNCT
ejpam-5851	708	16	local	local	ADJ
ejpam-5851	708	17	peaks	peak	NOUN
ejpam-5851	708	18	aligned	align	VERB
ejpam-5851	708	19	in	in	ADP
ejpam-5851	708	20	a	a	DET
ejpam-5851	708	21	periodic	periodic	ADJ
ejpam-5851	708	22	fashion	fashion	NOUN
ejpam-5851	708	23	further	far	ADV
ejpam-5851	708	24	indicates	indicate	VERB
ejpam-5851	708	25	the	the	DET
ejpam-5851	708	26	assignment	assignment	NOUN
ejpam-5851	708	27	to	to	ADP
ejpam-5851	708	28	a	a	DET
ejpam-5851	708	29	periodic	periodic	ADJ
ejpam-5851	708	30	lump	lump	NOUN
ejpam-5851	708	31	wave	wave	NOUN
ejpam-5851	708	32	.	.	PUNCT
ejpam-5851	709	1	figures	figure	NOUN
ejpam-5851	709	2	(	(	PUNCT
ejpam-5851	709	3	11	11	NUM
ejpam-5851	709	4	)	)	PUNCT
ejpam-5851	709	5	to	to	ADP
ejpam-5851	709	6	(	(	PUNCT
ejpam-5851	709	7	14	14	NUM
ejpam-5851	709	8	)	)	PUNCT
ejpam-5851	709	9	represent	represent	VERB
ejpam-5851	709	10	pck	pck	NOUN
ejpam-5851	709	11	waves	wave	NOUN
ejpam-5851	709	12	function	function	NOUN
ejpam-5851	709	13	,	,	PUNCT
ejpam-5851	709	14	which	which	PRON
ejpam-5851	709	15	are	be	AUX
ejpam-5851	709	16	structured	structure	VERB
ejpam-5851	709	17	,	,	PUNCT
ejpam-5851	709	18	traveling	travel	VERB
ejpam-5851	709	19	waves	wave	NOUN
ejpam-5851	709	20	with	with	ADP
ejpam-5851	709	21	periodically	periodically	ADV
ejpam-5851	709	22	alternating	alternate	VERB
ejpam-5851	709	23	space	space	NOUN
ejpam-5851	709	24	and	and	CCONJ
ejpam-5851	709	25	time	time	NOUN
ejpam-5851	709	26	.	.	PUNCT
ejpam-5851	710	1	the	the	DET
ejpam-5851	710	2	3d	3d	PROPN
ejpam-5851	710	3	plots	plot	NOUN
ejpam-5851	710	4	in	in	ADP
ejpam-5851	710	5	figures	figure	NOUN
ejpam-5851	710	6	(	(	PUNCT
ejpam-5851	710	7	11	11	NUM
ejpam-5851	710	8	)	)	PUNCT
ejpam-5851	710	9	(	(	PUNCT
ejpam-5851	710	10	a	a	X
ejpam-5851	710	11	)	)	PUNCT
ejpam-5851	710	12	and	and	CCONJ
ejpam-5851	710	13	(	(	PUNCT
ejpam-5851	710	14	12	12	NUM
ejpam-5851	710	15	)	)	PUNCT
ejpam-5851	710	16	(	(	PUNCT
ejpam-5851	710	17	a	a	X
ejpam-5851	710	18	)	)	PUNCT
ejpam-5851	710	19	show	show	VERB
ejpam-5851	710	20	periodic	periodic	ADJ
ejpam-5851	710	21	ridges	ridge	NOUN
ejpam-5851	710	22	similar	similar	ADJ
ejpam-5851	710	23	to	to	ADP
ejpam-5851	710	24	layered	layered	ADJ
ejpam-5851	710	25	kinks	kink	NOUN
ejpam-5851	710	26	that	that	PRON
ejpam-5851	710	27	build	build	VERB
ejpam-5851	710	28	a	a	DET
ejpam-5851	710	29	checkerboard	checkerboard	NOUN
ejpam-5851	710	30	-	-	PUNCT
ejpam-5851	710	31	like	like	ADJ
ejpam-5851	710	32	periodic	periodic	ADJ
ejpam-5851	710	33	pattern	pattern	NOUN
ejpam-5851	710	34	.	.	PUNCT
ejpam-5851	711	1	this	this	PRON
ejpam-5851	711	2	implies	imply	VERB
ejpam-5851	711	3	the	the	DET
ejpam-5851	711	4	interactions	interaction	NOUN
ejpam-5851	711	5	of	of	ADP
ejpam-5851	711	6	several	several	ADJ
ejpam-5851	711	7	kink	kink	NOUN
ejpam-5851	711	8	-	-	PUNCT
ejpam-5851	711	9	like	like	ADJ
ejpam-5851	711	10	waves	wave	NOUN
ejpam-5851	711	11	moving	move	VERB
ejpam-5851	711	12	periodically.the	periodically.the	DET
ejpam-5851	711	13	contour	contour	NOUN
ejpam-5851	711	14	plots	plot	NOUN
ejpam-5851	711	15	in	in	ADP
ejpam-5851	711	16	figures	figure	NOUN
ejpam-5851	711	17	(	(	PUNCT
ejpam-5851	711	18	11	11	NUM
ejpam-5851	711	19	)	)	PUNCT
ejpam-5851	711	20	(	(	PUNCT
ejpam-5851	711	21	b	b	NOUN
ejpam-5851	711	22	)	)	PUNCT
ejpam-5851	711	23	and	and	CCONJ
ejpam-5851	711	24	(	(	PUNCT
ejpam-5851	711	25	12	12	NUM
ejpam-5851	711	26	)	)	PUNCT
ejpam-5851	711	27	(	(	PUNCT
ejpam-5851	711	28	b	b	X
ejpam-5851	711	29	)	)	PUNCT
ejpam-5851	711	30	show	show	VERB
ejpam-5851	711	31	diagonal	diagonal	ADJ
ejpam-5851	711	32	wavefronts	wavefront	NOUN
ejpam-5851	711	33	characteristic	characteristic	ADJ
ejpam-5851	711	34	of	of	ADP
ejpam-5851	711	35	a	a	DET
ejpam-5851	711	36	propagating	propagate	VERB
ejpam-5851	711	37	kink	kink	NOUN
ejpam-5851	711	38	-	-	PUNCT
ejpam-5851	711	39	like	like	ADJ
ejpam-5851	711	40	structure	structure	NOUN
ejpam-5851	711	41	,	,	PUNCT
ejpam-5851	711	42	smooth	smooth	ADJ
ejpam-5851	711	43	and	and	CCONJ
ejpam-5851	711	44	periodic	periodic	ADJ
ejpam-5851	711	45	amplitude	amplitude	NOUN
ejpam-5851	711	46	transitions	transition	NOUN
ejpam-5851	711	47	characteristic	characteristic	ADJ
ejpam-5851	711	48	of	of	ADP
ejpam-5851	711	49	cross	cross	ADJ
ejpam-5851	711	50	-	-	ADJ
ejpam-5851	711	51	kink	kink	ADJ
ejpam-5851	711	52	interactions	interaction	NOUN
ejpam-5851	711	53	.	.	PUNCT
ejpam-5851	712	1	the	the	DET
ejpam-5851	712	2	density	density	NOUN
ejpam-5851	712	3	plots	plot	VERB
ejpam-5851	712	4	in	in	ADP
ejpam-5851	712	5	figures	figure	NOUN
ejpam-5851	712	6	(	(	PUNCT
ejpam-5851	712	7	11	11	NUM
ejpam-5851	712	8	)	)	PUNCT
ejpam-5851	712	9	(	(	PUNCT
ejpam-5851	712	10	c	c	NOUN
ejpam-5851	712	11	)	)	PUNCT
ejpam-5851	712	12	and	and	CCONJ
ejpam-5851	712	13	(	(	PUNCT
ejpam-5851	712	14	12	12	NUM
ejpam-5851	712	15	)	)	PUNCT
ejpam-5851	712	16	(	(	PUNCT
ejpam-5851	712	17	c	c	X
ejpam-5851	712	18	)	)	PUNCT
ejpam-5851	712	19	is	be	AUX
ejpam-5851	712	20	also	also	ADV
ejpam-5851	712	21	in	in	ADP
ejpam-5851	712	22	line	line	NOUN
ejpam-5851	712	23	with	with	ADP
ejpam-5851	712	24	this	this	DET
ejpam-5851	712	25	interpretation	interpretation	NOUN
ejpam-5851	712	26	,	,	PUNCT
ejpam-5851	712	27	showing	show	VERB
ejpam-5851	712	28	alternating	alternate	VERB
ejpam-5851	712	29	intensity	intensity	NOUN
ejpam-5851	712	30	bands	band	NOUN
ejpam-5851	712	31	with	with	ADP
ejpam-5851	712	32	sharp	sharp	ADJ
ejpam-5851	712	33	transitions	transition	NOUN
ejpam-5851	712	34	characteristic	characteristic	ADJ
ejpam-5851	712	35	of	of	ADP
ejpam-5851	712	36	periodic	periodic	ADJ
ejpam-5851	712	37	wave	wave	NOUN
ejpam-5851	712	38	interactions.consistent	interactions.consistent	NUM
ejpam-5851	712	39	periodic	periodic	ADJ
ejpam-5851	712	40	cross	cross	ADJ
ejpam-5851	712	41	-	-	ADJ
ejpam-5851	712	42	kink	kink	ADJ
ejpam-5851	712	43	topologies	topology	NOUN
ejpam-5851	712	44	are	be	AUX
ejpam-5851	712	45	also	also	ADV
ejpam-5851	712	46	noted	note	VERB
ejpam-5851	712	47	in	in	ADP
ejpam-5851	712	48	figures	figure	NOUN
ejpam-5851	712	49	(	(	PUNCT
ejpam-5851	712	50	13	13	NUM
ejpam-5851	712	51	)	)	PUNCT
ejpam-5851	712	52	(	(	PUNCT
ejpam-5851	712	53	a	a	X
ejpam-5851	712	54	)	)	PUNCT
ejpam-5851	712	55	and	and	CCONJ
ejpam-5851	712	56	(	(	PUNCT
ejpam-5851	712	57	14	14	NUM
ejpam-5851	712	58	)	)	PUNCT
ejpam-5851	712	59	(	(	PUNCT
ejpam-5851	712	60	a	a	X
ejpam-5851	712	61	)	)	PUNCT
ejpam-5851	712	62	,	,	PUNCT
ejpam-5851	712	63	which	which	PRON
ejpam-5851	712	64	each	each	PRON
ejpam-5851	712	65	progressively	progressively	ADV
ejpam-5851	712	66	illustrate	illustrate	VERB
ejpam-5851	712	67	more	more	ADV
ejpam-5851	712	68	intricate	intricate	ADJ
ejpam-5851	712	69	periodic	periodic	ADJ
ejpam-5851	712	70	interactions	interaction	NOUN
ejpam-5851	712	71	indicating	indicate	VERB
ejpam-5851	712	72	multiple	multiple	ADJ
ejpam-5851	712	73	frequency	frequency	NOUN
ejpam-5851	712	74	component	component	NOUN
ejpam-5851	712	75	wave	wave	NOUN
ejpam-5851	712	76	formations	formation	NOUN
ejpam-5851	712	77	or	or	CCONJ
ejpam-5851	712	78	soliton	soliton	NOUN
ejpam-5851	712	79	modulation	modulation	NOUN
ejpam-5851	712	80	interaction	interaction	NOUN
ejpam-5851	712	81	.	.	PUNCT
ejpam-5851	713	1	the	the	DET
ejpam-5851	713	2	contour	contour	NOUN
ejpam-5851	713	3	plots	plot	NOUN
ejpam-5851	713	4	in	in	ADP
ejpam-5851	713	5	figures	figure	NOUN
ejpam-5851	713	6	(	(	PUNCT
ejpam-5851	713	7	13	13	NUM
ejpam-5851	713	8	)	)	PUNCT
ejpam-5851	713	9	(	(	PUNCT
ejpam-5851	713	10	b	b	X
ejpam-5851	713	11	)	)	PUNCT
ejpam-5851	713	12	and	and	CCONJ
ejpam-5851	713	13	(	(	PUNCT
ejpam-5851	713	14	14	14	NUM
ejpam-5851	713	15	)	)	PUNCT
ejpam-5851	713	16	(	(	PUNCT
ejpam-5851	713	17	b	b	X
ejpam-5851	713	18	)	)	PUNCT
ejpam-5851	713	19	have	have	VERB
ejpam-5851	713	20	diagonal	diagonal	ADJ
ejpam-5851	713	21	bands	band	NOUN
ejpam-5851	713	22	and	and	CCONJ
ejpam-5851	713	23	intersecting	intersecting	ADJ
ejpam-5851	713	24	wave	wave	NOUN
ejpam-5851	713	25	patterns	pattern	NOUN
ejpam-5851	713	26	indicating	indicate	VERB
ejpam-5851	713	27	cross	cross	ADJ
ejpam-5851	713	28	-	-	ADJ
ejpam-5851	713	29	kink	kink	ADJ
ejpam-5851	713	30	interactions	interaction	NOUN
ejpam-5851	713	31	.	.	PUNCT
ejpam-5851	714	1	the	the	DET
ejpam-5851	714	2	appearance	appearance	NOUN
ejpam-5851	714	3	of	of	ADP
ejpam-5851	714	4	non	non	ADJ
ejpam-5851	714	5	-	-	ADJ
ejpam-5851	714	6	uniform	uniform	ADJ
ejpam-5851	714	7	intensity	intensity	NOUN
ejpam-5851	714	8	variation	variation	NOUN
ejpam-5851	714	9	signifies	signify	VERB
ejpam-5851	714	10	interactions	interaction	NOUN
ejpam-5851	714	11	of	of	ADP
ejpam-5851	714	12	more	more	ADJ
ejpam-5851	714	13	than	than	ADP
ejpam-5851	714	14	one	one	NUM
ejpam-5851	714	15	periodic	periodic	ADJ
ejpam-5851	714	16	component	component	NOUN
ejpam-5851	714	17	.	.	PUNCT
ejpam-5851	715	1	the	the	DET
ejpam-5851	715	2	density	density	NOUN
ejpam-5851	715	3	plots	plot	VERB
ejpam-5851	715	4	in	in	ADP
ejpam-5851	715	5	figures	figure	NOUN
ejpam-5851	715	6	(	(	PUNCT
ejpam-5851	715	7	13	13	NUM
ejpam-5851	715	8	)	)	PUNCT
ejpam-5851	715	9	(	(	PUNCT
ejpam-5851	715	10	c	c	X
ejpam-5851	715	11	)	)	PUNCT
ejpam-5851	715	12	and	and	CCONJ
ejpam-5851	715	13	(	(	PUNCT
ejpam-5851	715	14	14	14	NUM
ejpam-5851	715	15	)	)	PUNCT
ejpam-5851	715	16	(	(	PUNCT
ejpam-5851	715	17	c	c	X
ejpam-5851	715	18	)	)	PUNCT
ejpam-5851	715	19	have	have	AUX
ejpam-5851	715	20	alternating	alternate	VERB
ejpam-5851	715	21	diagonal	diagonal	ADJ
ejpam-5851	715	22	intensity	intensity	NOUN
ejpam-5851	715	23	bands	band	NOUN
ejpam-5851	715	24	affirm	affirm	VERB
ejpam-5851	715	25	periodic	periodic	ADJ
ejpam-5851	715	26	kinks	kink	NOUN
ejpam-5851	715	27	interacting	interact	VERB
ejpam-5851	715	28	in	in	ADP
ejpam-5851	715	29	opposite	opposite	ADJ
ejpam-5851	715	30	directions	direction	NOUN
ejpam-5851	715	31	.	.	PUNCT
ejpam-5851	716	1	this	this	PRON
ejpam-5851	716	2	again	again	ADV
ejpam-5851	716	3	validates	validate	VERB
ejpam-5851	716	4	the	the	DET
ejpam-5851	716	5	cross	cross	ADJ
ejpam-5851	716	6	-	-	ADJ
ejpam-5851	716	7	kink	kink	ADJ
ejpam-5851	716	8	periodic	periodic	ADJ
ejpam-5851	716	9	structure	structure	NOUN
ejpam-5851	716	10	,	,	PUNCT
ejpam-5851	716	11	where	where	SCONJ
ejpam-5851	716	12	the	the	DET
ejpam-5851	716	13	wave	wave	NOUN
ejpam-5851	716	14	has	have	AUX
ejpam-5851	716	15	repeating	repeat	VERB
ejpam-5851	716	16	kink	kink	NOUN
ejpam-5851	716	17	-	-	PUNCT
ejpam-5851	716	18	like	like	ADJ
ejpam-5851	716	19	structures	structure	NOUN
ejpam-5851	716	20	modulated	modulate	VERB
ejpam-5851	716	21	by	by	ADP
ejpam-5851	716	22	periodic	periodic	ADJ
ejpam-5851	716	23	oscillations	oscillation	NOUN
ejpam-5851	716	24	.	.	PUNCT
ejpam-5851	717	1	the	the	DET
ejpam-5851	717	2	hb	hb	PROPN
ejpam-5851	717	3	waves	wave	NOUN
ejpam-5851	717	4	structures	structure	NOUN
ejpam-5851	717	5	are	be	AUX
ejpam-5851	717	6	defined	define	VERB
ejpam-5851	717	7	by	by	ADP
ejpam-5851	717	8	figures	figure	NOUN
ejpam-5851	717	9	(	(	PUNCT
ejpam-5851	717	10	15	15	NUM
ejpam-5851	717	11	)	)	PUNCT
ejpam-5851	717	12	through	through	ADP
ejpam-5851	717	13	(	(	PUNCT
ejpam-5851	717	14	18	18	NUM
ejpam-5851	717	15	)	)	PUNCT
ejpam-5851	717	16	,	,	PUNCT
ejpam-5851	717	17	representing	represent	VERB
ejpam-5851	717	18	localized	localized	ADJ
ejpam-5851	717	19	oscillating	oscillate	VERB
ejpam-5851	717	20	structures	structure	NOUN
ejpam-5851	717	21	that	that	PRON
ejpam-5851	717	22	return	return	VERB
ejpam-5851	717	23	to	to	ADP
ejpam-5851	717	24	the	the	DET
ejpam-5851	717	25	identical	identical	ADJ
ejpam-5851	717	26	asymptotic	asymptotic	ADJ
ejpam-5851	717	27	state	state	NOUN
ejpam-5851	717	28	with	with	ADP
ejpam-5851	717	29	increasing	increase	VERB
ejpam-5851	717	30	time	time	NOUN
ejpam-5851	717	31	tending	tend	VERB
ejpam-5851	717	32	to	to	ADP
ejpam-5851	717	33	infinity	infinity	NOUN
ejpam-5851	717	34	.	.	PUNCT
ejpam-5851	718	1	these	these	PRON
ejpam-5851	718	2	are	be	AUX
ejpam-5851	718	3	homoclinic	homoclinic	ADJ
ejpam-5851	718	4	orbits	orbit	NOUN
ejpam-5851	718	5	in	in	ADP
ejpam-5851	718	6	dynamical	dynamical	ADJ
ejpam-5851	718	7	systems	system	NOUN
ejpam-5851	718	8	and	and	CCONJ
ejpam-5851	718	9	are	be	AUX
ejpam-5851	718	10	generally	generally	ADV
ejpam-5851	718	11	discovered	discover	VERB
ejpam-5851	718	12	in	in	ADP
ejpam-5851	718	13	integrable	integrable	ADJ
ejpam-5851	718	14	equations	equation	NOUN
ejpam-5851	718	15	such	such	ADJ
ejpam-5851	718	16	as	as	ADP
ejpam-5851	718	17	the	the	DET
ejpam-5851	718	18	nonlinear	nonlinear	ADJ
ejpam-5851	718	19	schrödinger	schrödinger	NOUN
ejpam-5851	718	20	equation	equation	NOUN
ejpam-5851	718	21	or	or	CCONJ
ejpam-5851	718	22	sine	sine	ADJ
ejpam-5851	718	23	-	-	PUNCT
ejpam-5851	718	24	gordon	gordon	NOUN
ejpam-5851	718	25	equation	equation	NOUN
ejpam-5851	718	26	.	.	PUNCT
ejpam-5851	719	1	the	the	DET
ejpam-5851	719	2	3d	3d	PROPN
ejpam-5851	719	3	plot	plot	NOUN
ejpam-5851	719	4	in	in	ADP
ejpam-5851	719	5	figure	figure	NOUN
ejpam-5851	719	6	(	(	PUNCT
ejpam-5851	719	7	15	15	NUM
ejpam-5851	719	8	)	)	PUNCT
ejpam-5851	719	9	(	(	PUNCT
ejpam-5851	719	10	a	a	PRON
ejpam-5851	719	11	)	)	PUNCT
ejpam-5851	719	12	indicates	indicate	VERB
ejpam-5851	719	13	a	a	DET
ejpam-5851	719	14	localized	localize	VERB
ejpam-5851	719	15	oscillatory	oscillatory	ADJ
ejpam-5851	719	16	structure	structure	NOUN
ejpam-5851	719	17	with	with	ADP
ejpam-5851	719	18	periodic	periodic	ADJ
ejpam-5851	719	19	oscillations	oscillation	NOUN
ejpam-5851	719	20	,	,	PUNCT
ejpam-5851	719	21	which	which	PRON
ejpam-5851	719	22	shows	show	VERB
ejpam-5851	719	23	the	the	DET
ejpam-5851	719	24	presence	presence	NOUN
ejpam-5851	719	25	of	of	ADP
ejpam-5851	719	26	a	a	DET
ejpam-5851	719	27	homoclinic	homoclinic	ADJ
ejpam-5851	719	28	breather	breather	NOUN
ejpam-5851	719	29	.	.	PUNCT
ejpam-5851	720	1	the	the	DET
ejpam-5851	720	2	respective	respective	ADJ
ejpam-5851	720	3	contour	contour	NOUN
ejpam-5851	720	4	plot	plot	NOUN
ejpam-5851	720	5	in	in	ADP
ejpam-5851	720	6	figure	figure	NOUN
ejpam-5851	720	7	(	(	PUNCT
ejpam-5851	720	8	15	15	NUM
ejpam-5851	720	9	)	)	PUNCT
ejpam-5851	720	10	(	(	PUNCT
ejpam-5851	720	11	b	b	NOUN
ejpam-5851	720	12	)	)	PUNCT
ejpam-5851	720	13	and	and	CCONJ
ejpam-5851	720	14	density	density	NOUN
ejpam-5851	720	15	plot	plot	NOUN
ejpam-5851	720	16	in	in	ADP
ejpam-5851	720	17	figure	figure	NOUN
ejpam-5851	720	18	(	(	PUNCT
ejpam-5851	720	19	15	15	NUM
ejpam-5851	720	20	)	)	PUNCT
ejpam-5851	720	21	(	(	PUNCT
ejpam-5851	720	22	c	c	X
ejpam-5851	720	23	)	)	PUNCT
ejpam-5851	720	24	also	also	ADV
ejpam-5851	720	25	support	support	VERB
ejpam-5851	720	26	this	this	DET
ejpam-5851	720	27	classification	classification	NOUN
ejpam-5851	720	28	through	through	ADP
ejpam-5851	720	29	periodic	periodic	ADJ
ejpam-5851	720	30	energy	energy	NOUN
ejpam-5851	720	31	localization	localization	NOUN
ejpam-5851	720	32	and	and	CCONJ
ejpam-5851	720	33	striped	stripe	VERB
ejpam-5851	720	34	,	,	PUNCT
ejpam-5851	720	35	repetitive	repetitive	ADJ
ejpam-5851	720	36	patterns	pattern	NOUN
ejpam-5851	720	37	typical	typical	ADJ
ejpam-5851	720	38	of	of	ADP
ejpam-5851	720	39	breather	breather	NOUN
ejpam-5851	720	40	solutions	solution	NOUN
ejpam-5851	720	41	.	.	PUNCT
ejpam-5851	721	1	such	such	ADJ
ejpam-5851	721	2	features	feature	NOUN
ejpam-5851	721	3	are	be	AUX
ejpam-5851	721	4	seen	see	VERB
ejpam-5851	721	5	in	in	ADP
ejpam-5851	721	6	figures	figure	NOUN
ejpam-5851	721	7	(	(	PUNCT
ejpam-5851	721	8	16	16	NUM
ejpam-5851	721	9	)	)	PUNCT
ejpam-5851	721	10	to	to	ADP
ejpam-5851	721	11	(	(	PUNCT
ejpam-5851	721	12	18	18	NUM
ejpam-5851	721	13	)	)	PUNCT
ejpam-5851	721	14	,	,	PUNCT
ejpam-5851	721	15	too	too	ADV
ejpam-5851	721	16	,	,	PUNCT
ejpam-5851	721	17	where	where	SCONJ
ejpam-5851	721	18	oscillatory	oscillatory	ADJ
ejpam-5851	721	19	patterns	pattern	NOUN
ejpam-5851	721	20	,	,	PUNCT
ejpam-5851	721	21	periodic	periodic	ADJ
ejpam-5851	721	22	modulations	modulation	NOUN
ejpam-5851	721	23	,	,	PUNCT
ejpam-5851	721	24	and	and	CCONJ
ejpam-5851	721	25	amplitude	amplitude	NOUN
ejpam-5851	721	26	changes	change	NOUN
ejpam-5851	721	27	indicate	indicate	VERB
ejpam-5851	721	28	the	the	DET
ejpam-5851	721	29	existence	existence	NOUN
ejpam-5851	721	30	of	of	ADP
ejpam-5851	721	31	homoclinic	homoclinic	ADJ
ejpam-5851	721	32	breather	breather	NOUN
ejpam-5851	721	33	solutions	solution	NOUN
ejpam-5851	721	34	in	in	ADP
ejpam-5851	721	35	various	various	ADJ
ejpam-5851	721	36	parameter	parameter	NOUN
ejpam-5851	721	37	regimes	regime	NOUN
ejpam-5851	721	38	.	.	PUNCT
ejpam-5851	722	1	figures	figure	NOUN
ejpam-5851	722	2	(	(	PUNCT
ejpam-5851	722	3	19	19	NUM
ejpam-5851	722	4	)	)	PUNCT
ejpam-5851	722	5	to	to	ADP
ejpam-5851	722	6	(	(	PUNCT
ejpam-5851	722	7	22	22	NUM
ejpam-5851	722	8	)	)	PUNCT
ejpam-5851	722	9	obtained	obtain	VERB
ejpam-5851	722	10	from	from	ADP
ejpam-5851	722	11	the	the	DET
ejpam-5851	722	12	mi	mi	PROPN
ejpam-5851	722	13	wave	wave	PROPN
ejpam-5851	722	14	function	function	NOUN
ejpam-5851	722	15	show	show	VERB
ejpam-5851	722	16	unique	unique	ADJ
ejpam-5851	722	17	nonlinear	nonlinear	ADJ
ejpam-5851	722	18	wave	wave	NOUN
ejpam-5851	722	19	dynamics	dynamic	NOUN
ejpam-5851	722	20	each	each	PRON
ejpam-5851	722	21	with	with	ADP
ejpam-5851	722	22	significant	significant	ADJ
ejpam-5851	722	23	physical	physical	ADJ
ejpam-5851	722	24	phenomena	phenomenon	NOUN
ejpam-5851	722	25	like	like	ADP
ejpam-5851	722	26	modulation	modulation	NOUN
ejpam-5851	722	27	instability	instability	NOUN
ejpam-5851	722	28	,	,	PUNCT
ejpam-5851	722	29	breather	breather	PROPN
ejpam-5851	722	30	wave	wave	NOUN
ejpam-5851	722	31	formations	formation	NOUN
ejpam-5851	722	32	,	,	PUNCT
ejpam-5851	722	33	mixed	mixed	ADJ
ejpam-5851	722	34	wave	wave	NOUN
ejpam-5851	722	35	interactions	interaction	NOUN
ejpam-5851	722	36	,	,	PUNCT
ejpam-5851	722	37	and	and	CCONJ
ejpam-5851	722	38	localization	localization	NOUN
ejpam-5851	722	39	of	of	ADP
ejpam-5851	722	40	energy	energy	NOUN
ejpam-5851	722	41	.	.	PUNCT
ejpam-5851	723	1	these	these	DET
ejpam-5851	723	2	data	datum	NOUN
ejpam-5851	723	3	show	show	VERB
ejpam-5851	723	4	the	the	DET
ejpam-5851	723	5	behavior	behavior	NOUN
ejpam-5851	723	6	of	of	ADP
ejpam-5851	723	7	nonlinear	nonlinear	ADJ
ejpam-5851	723	8	waves	wave	NOUN
ejpam-5851	723	9	for	for	ADP
ejpam-5851	723	10	various	various	ADJ
ejpam-5851	723	11	conditions	condition	NOUN
ejpam-5851	723	12	of	of	ADP
ejpam-5851	723	13	parameters	parameter	NOUN
ejpam-5851	723	14	and	and	CCONJ
ejpam-5851	723	15	reflect	reflect	VERB
ejpam-5851	723	16	their	their	PRON
ejpam-5851	723	17	role	role	NOUN
ejpam-5851	723	18	in	in	ADP
ejpam-5851	723	19	areas	area	NOUN
ejpam-5851	723	20	including	include	VERB
ejpam-5851	723	21	optical	optical	ADJ
ejpam-5851	723	22	fiber	fiber	NOUN
ejpam-5851	723	23	communication	communication	NOUN
ejpam-5851	723	24	,	,	PUNCT
ejpam-5851	723	25	plasma	plasma	NOUN
ejpam-5851	723	26	physics	physics	NOUN
ejpam-5851	723	27	,	,	PUNCT
ejpam-5851	723	28	and	and	CCONJ
ejpam-5851	723	29	theory	theory	NOUN
ejpam-5851	723	30	of	of	ADP
ejpam-5851	723	31	hydrodynamic	hydrodynamic	ADJ
ejpam-5851	723	32	waves	wave	NOUN
ejpam-5851	723	33	.	.	PUNCT
ejpam-5851	724	1	figures	figure	NOUN
ejpam-5851	724	2	(	(	PUNCT
ejpam-5851	724	3	19	19	NUM
ejpam-5851	724	4	)	)	PUNCT
ejpam-5851	724	5	and	and	CCONJ
ejpam-5851	724	6	(	(	PUNCT
ejpam-5851	724	7	20	20	NUM
ejpam-5851	724	8	)	)	PUNCT
ejpam-5851	724	9	display	display	VERB
ejpam-5851	724	10	a	a	DET
ejpam-5851	724	11	typical	typical	ADJ
ejpam-5851	724	12	periodic	periodic	ADJ
ejpam-5851	724	13	modulation	modulation	NOUN
ejpam-5851	724	14	instability	instability	NOUN
ejpam-5851	724	15	wave	wave	NOUN
ejpam-5851	724	16	pattern	pattern	NOUN
ejpam-5851	724	17	.	.	PUNCT
ejpam-5851	725	1	the	the	DET
ejpam-5851	725	2	periodicity	periodicity	NOUN
ejpam-5851	725	3	in	in	ADP
ejpam-5851	725	4	time	time	NOUN
ejpam-5851	725	5	and	and	CCONJ
ejpam-5851	725	6	space	space	NOUN
ejpam-5851	725	7	can	can	AUX
ejpam-5851	725	8	be	be	AUX
ejpam-5851	725	9	visually	visually	ADV
ejpam-5851	725	10	inspected	inspect	VERB
ejpam-5851	725	11	from	from	ADP
ejpam-5851	725	12	the	the	DET
ejpam-5851	725	13	3d	3d	PROPN
ejpam-5851	725	14	plot	plot	NOUN
ejpam-5851	725	15	in	in	ADP
ejpam-5851	725	16	figures	figure	NOUN
ejpam-5851	725	17	(	(	PUNCT
ejpam-5851	725	18	19	19	NUM
ejpam-5851	725	19	)	)	PUNCT
ejpam-5851	725	20	(	(	PUNCT
ejpam-5851	725	21	a	a	X
ejpam-5851	725	22	)	)	PUNCT
ejpam-5851	725	23	and	and	CCONJ
ejpam-5851	725	24	(	(	PUNCT
ejpam-5851	725	25	20	20	NUM
ejpam-5851	725	26	)	)	PUNCT
ejpam-5851	725	27	(	(	PUNCT
ejpam-5851	725	28	a	a	X
ejpam-5851	725	29	)	)	PUNCT
ejpam-5851	725	30	,	,	PUNCT
ejpam-5851	725	31	b.	b.	PROPN
ejpam-5851	725	32	ceesay	ceesay	PROPN
ejpam-5851	725	33	et	et	PROPN
ejpam-5851	725	34	al	al	PROPN
ejpam-5851	725	35	.	.	PUNCT
ejpam-5851	725	36	/	/	SYM
ejpam-5851	725	37	eur	eur	PROPN
ejpam-5851	725	38	.	.	PUNCT
ejpam-5851	726	1	j.	j.	PROPN
ejpam-5851	726	2	pure	pure	PROPN
ejpam-5851	726	3	appl	appl	PROPN
ejpam-5851	726	4	.	.	PROPN
ejpam-5851	726	5	math	math	PROPN
ejpam-5851	726	6	,	,	PUNCT
ejpam-5851	726	7	18	18	NUM
ejpam-5851	726	8	(	(	PUNCT
ejpam-5851	726	9	2	2	NUM
ejpam-5851	726	10	)	)	PUNCT
ejpam-5851	726	11	(	(	PUNCT
ejpam-5851	726	12	2025	2025	NUM
ejpam-5851	726	13	)	)	PUNCT
ejpam-5851	726	14	,	,	PUNCT
ejpam-5851	726	15	5851	5851	NUM
ejpam-5851	726	16	28	28	NUM
ejpam-5851	726	17	of	of	ADP
ejpam-5851	726	18	32	32	NUM
ejpam-5851	726	19	showing	show	VERB
ejpam-5851	726	20	exponential	exponential	ADJ
ejpam-5851	726	21	amplification	amplification	NOUN
ejpam-5851	726	22	of	of	ADP
ejpam-5851	726	23	initial	initial	ADJ
ejpam-5851	726	24	perturbations	perturbation	NOUN
ejpam-5851	726	25	owing	owe	VERB
ejpam-5851	726	26	to	to	ADP
ejpam-5851	726	27	nonlinearities	nonlinearitie	NOUN
ejpam-5851	726	28	.	.	PUNCT
ejpam-5851	727	1	the	the	DET
ejpam-5851	727	2	contour	contour	NOUN
ejpam-5851	727	3	plot	plot	NOUN
ejpam-5851	727	4	in	in	ADP
ejpam-5851	727	5	figures	figure	NOUN
ejpam-5851	727	6	(	(	PUNCT
ejpam-5851	727	7	19	19	NUM
ejpam-5851	727	8	)	)	PUNCT
ejpam-5851	727	9	(	(	PUNCT
ejpam-5851	727	10	b	b	NOUN
ejpam-5851	727	11	)	)	PUNCT
ejpam-5851	727	12	and	and	CCONJ
ejpam-5851	727	13	(	(	PUNCT
ejpam-5851	727	14	10	10	NUM
ejpam-5851	727	15	)	)	PUNCT
ejpam-5851	727	16	(	(	PUNCT
ejpam-5851	727	17	b	b	X
ejpam-5851	727	18	)	)	PUNCT
ejpam-5851	727	19	also	also	ADV
ejpam-5851	727	20	display	display	VERB
ejpam-5851	727	21	an	an	DET
ejpam-5851	727	22	apparent	apparent	ADJ
ejpam-5851	727	23	periodic	periodic	ADJ
ejpam-5851	727	24	modulation	modulation	NOUN
ejpam-5851	727	25	of	of	ADP
ejpam-5851	727	26	wave	wave	NOUN
ejpam-5851	727	27	amplitude	amplitude	NOUN
ejpam-5851	727	28	,	,	PUNCT
ejpam-5851	727	29	while	while	SCONJ
ejpam-5851	727	30	the	the	DET
ejpam-5851	727	31	density	density	NOUN
ejpam-5851	727	32	plot	plot	NOUN
ejpam-5851	727	33	in	in	ADP
ejpam-5851	727	34	figures	figure	NOUN
ejpam-5851	727	35	(	(	PUNCT
ejpam-5851	727	36	19	19	NUM
ejpam-5851	727	37	)	)	PUNCT
ejpam-5851	727	38	(	(	PUNCT
ejpam-5851	727	39	c	c	NOUN
ejpam-5851	727	40	)	)	PUNCT
ejpam-5851	727	41	and	and	CCONJ
ejpam-5851	727	42	(	(	PUNCT
ejpam-5851	727	43	10)1	10)1	INTJ
ejpam-5851	727	44	(	(	PUNCT
ejpam-5851	727	45	c	c	NOUN
ejpam-5851	727	46	)	)	PUNCT
ejpam-5851	727	47	depict	depict	NOUN
ejpam-5851	727	48	alternate	alternate	ADJ
ejpam-5851	727	49	high	high	ADJ
ejpam-5851	727	50	-	-	PUNCT
ejpam-5851	727	51	energy	energy	NOUN
ejpam-5851	727	52	and	and	CCONJ
ejpam-5851	727	53	low	low	ADJ
ejpam-5851	727	54	-	-	PUNCT
ejpam-5851	727	55	energy	energy	NOUN
ejpam-5851	727	56	regions	region	NOUN
ejpam-5851	727	57	.	.	PUNCT
ejpam-5851	728	1	this	this	DET
ejpam-5851	728	2	process	process	NOUN
ejpam-5851	728	3	shows	show	VERB
ejpam-5851	728	4	that	that	SCONJ
ejpam-5851	728	5	mi	mi	PROPN
ejpam-5851	728	6	is	be	AUX
ejpam-5851	728	7	the	the	DET
ejpam-5851	728	8	origin	origin	NOUN
ejpam-5851	728	9	of	of	ADP
ejpam-5851	728	10	energy	energy	NOUN
ejpam-5851	728	11	localization	localization	NOUN
ejpam-5851	728	12	,	,	PUNCT
ejpam-5851	728	13	a	a	DET
ejpam-5851	728	14	major	major	ADJ
ejpam-5851	728	15	mechanism	mechanism	NOUN
ejpam-5851	728	16	in	in	ADP
ejpam-5851	728	17	the	the	DET
ejpam-5851	728	18	formation	formation	NOUN
ejpam-5851	728	19	of	of	ADP
ejpam-5851	728	20	rogue	rogue	ADJ
ejpam-5851	728	21	waves	wave	NOUN
ejpam-5851	728	22	and	and	CCONJ
ejpam-5851	728	23	soliton	soliton	NOUN
ejpam-5851	728	24	trains	train	NOUN
ejpam-5851	728	25	observed	observe	VERB
ejpam-5851	728	26	in	in	ADP
ejpam-5851	728	27	nonlinear	nonlinear	ADJ
ejpam-5851	728	28	optics	optic	NOUN
ejpam-5851	728	29	and	and	CCONJ
ejpam-5851	728	30	ocean	ocean	NOUN
ejpam-5851	728	31	wave	wave	PROPN
ejpam-5851	728	32	physics	physics	PROPN
ejpam-5851	728	33	.	.	PUNCT
ejpam-5851	729	1	the	the	DET
ejpam-5851	729	2	development	development	NOUN
ejpam-5851	729	3	of	of	ADP
ejpam-5851	729	4	periodicity	periodicity	NOUN
ejpam-5851	729	5	from	from	ADP
ejpam-5851	729	6	homogeneous	homogeneous	ADJ
ejpam-5851	729	7	wave	wave	NOUN
ejpam-5851	729	8	propagation	propagation	NOUN
ejpam-5851	729	9	is	be	AUX
ejpam-5851	729	10	the	the	DET
ejpam-5851	729	11	beginning	beginning	NOUN
ejpam-5851	729	12	of	of	ADP
ejpam-5851	729	13	instability	instability	NOUN
ejpam-5851	729	14	-	-	PUNCT
ejpam-5851	729	15	driven	drive	VERB
ejpam-5851	729	16	periodicity	periodicity	NOUN
ejpam-5851	729	17	.	.	PUNCT
ejpam-5851	730	1	figures	figure	NOUN
ejpam-5851	730	2	(	(	PUNCT
ejpam-5851	730	3	21	21	NUM
ejpam-5851	730	4	)	)	PUNCT
ejpam-5851	730	5	and	and	CCONJ
ejpam-5851	730	6	(	(	PUNCT
ejpam-5851	730	7	22	22	NUM
ejpam-5851	730	8	)	)	PUNCT
ejpam-5851	730	9	demonstrate	demonstrate	VERB
ejpam-5851	730	10	a	a	DET
ejpam-5851	730	11	high	high	ADJ
ejpam-5851	730	12	-	-	PUNCT
ejpam-5851	730	13	order	order	NOUN
ejpam-5851	730	14	breather	breather	NOUN
ejpam-5851	730	15	profile	profile	NOUN
ejpam-5851	730	16	,	,	PUNCT
ejpam-5851	730	17	which	which	PRON
ejpam-5851	730	18	may	may	AUX
ejpam-5851	730	19	be	be	AUX
ejpam-5851	730	20	a	a	DET
ejpam-5851	730	21	precursor	precursor	NOUN
ejpam-5851	730	22	to	to	ADP
ejpam-5851	730	23	the	the	DET
ejpam-5851	730	24	creation	creation	NOUN
ejpam-5851	730	25	of	of	ADP
ejpam-5851	730	26	rogue	rogue	ADJ
ejpam-5851	730	27	waves	wave	NOUN
ejpam-5851	730	28	.	.	PUNCT
ejpam-5851	731	1	the	the	DET
ejpam-5851	731	2	3d	3d	PROPN
ejpam-5851	731	3	plots	plot	NOUN
ejpam-5851	731	4	in	in	ADP
ejpam-5851	731	5	figures	figure	NOUN
ejpam-5851	731	6	(	(	PUNCT
ejpam-5851	731	7	21	21	NUM
ejpam-5851	731	8	)	)	PUNCT
ejpam-5851	731	9	(	(	PUNCT
ejpam-5851	731	10	a	a	X
ejpam-5851	731	11	)	)	PUNCT
ejpam-5851	731	12	and	and	CCONJ
ejpam-5851	731	13	(	(	PUNCT
ejpam-5851	731	14	22	22	NUM
ejpam-5851	731	15	)	)	PUNCT
ejpam-5851	731	16	(	(	PUNCT
ejpam-5851	731	17	a	a	X
ejpam-5851	731	18	)	)	PUNCT
ejpam-5851	731	19	exhibit	exhibit	VERB
ejpam-5851	731	20	highly	highly	ADV
ejpam-5851	731	21	nonlinear	nonlinear	ADJ
ejpam-5851	731	22	behavior	behavior	NOUN
ejpam-5851	731	23	with	with	ADP
ejpam-5851	731	24	steep	steep	ADJ
ejpam-5851	731	25	crests	crest	NOUN
ejpam-5851	731	26	and	and	CCONJ
ejpam-5851	731	27	large	large	ADJ
ejpam-5851	731	28	changes	change	NOUN
ejpam-5851	731	29	in	in	ADP
ejpam-5851	731	30	amplitude	amplitude	NOUN
ejpam-5851	731	31	,	,	PUNCT
ejpam-5851	731	32	consistent	consistent	ADJ
ejpam-5851	731	33	with	with	ADP
ejpam-5851	731	34	the	the	DET
ejpam-5851	731	35	formation	formation	NOUN
ejpam-5851	731	36	of	of	ADP
ejpam-5851	731	37	rogue	rogue	ADJ
ejpam-5851	731	38	waves	wave	NOUN
ejpam-5851	731	39	.	.	PUNCT
ejpam-5851	732	1	the	the	DET
ejpam-5851	732	2	contour	contour	NOUN
ejpam-5851	732	3	plots	plot	NOUN
ejpam-5851	732	4	in	in	ADP
ejpam-5851	732	5	figures	figure	NOUN
ejpam-5851	732	6	(	(	PUNCT
ejpam-5851	732	7	21	21	NUM
ejpam-5851	732	8	)	)	PUNCT
ejpam-5851	732	9	(	(	PUNCT
ejpam-5851	732	10	b	b	X
ejpam-5851	732	11	)	)	PUNCT
ejpam-5851	732	12	and	and	CCONJ
ejpam-5851	732	13	(	(	PUNCT
ejpam-5851	732	14	22	22	NUM
ejpam-5851	732	15	)	)	PUNCT
ejpam-5851	732	16	(	(	PUNCT
ejpam-5851	732	17	b	b	X
ejpam-5851	732	18	)	)	PUNCT
ejpam-5851	732	19	demonstrate	demonstrate	VERB
ejpam-5851	732	20	distinct	distinct	ADJ
ejpam-5851	732	21	bands	band	NOUN
ejpam-5851	732	22	of	of	ADP
ejpam-5851	732	23	waves	wave	NOUN
ejpam-5851	732	24	separated	separate	VERB
ejpam-5851	732	25	by	by	ADP
ejpam-5851	732	26	areas	area	NOUN
ejpam-5851	732	27	of	of	ADP
ejpam-5851	732	28	high	high	ADJ
ejpam-5851	732	29	energy	energy	NOUN
ejpam-5851	732	30	,	,	PUNCT
ejpam-5851	732	31	which	which	PRON
ejpam-5851	732	32	confirm	confirm	VERB
ejpam-5851	732	33	the	the	DET
ejpam-5851	732	34	presence	presence	NOUN
ejpam-5851	732	35	of	of	ADP
ejpam-5851	732	36	high	high	ADJ
ejpam-5851	732	37	-	-	PUNCT
ejpam-5851	732	38	order	order	NOUN
ejpam-5851	732	39	breathers	breather	NOUN
ejpam-5851	732	40	.	.	PUNCT
ejpam-5851	733	1	the	the	DET
ejpam-5851	733	2	density	density	NOUN
ejpam-5851	733	3	plots	plot	VERB
ejpam-5851	733	4	in	in	ADP
ejpam-5851	733	5	figures	figure	NOUN
ejpam-5851	733	6	(	(	PUNCT
ejpam-5851	733	7	21	21	NUM
ejpam-5851	733	8	)	)	PUNCT
ejpam-5851	733	9	(	(	PUNCT
ejpam-5851	733	10	c	c	X
ejpam-5851	733	11	)	)	PUNCT
ejpam-5851	733	12	and	and	CCONJ
ejpam-5851	733	13	(	(	PUNCT
ejpam-5851	733	14	22	22	NUM
ejpam-5851	733	15	)	)	PUNCT
ejpam-5851	733	16	(	(	PUNCT
ejpam-5851	733	17	c	c	X
ejpam-5851	733	18	)	)	PUNCT
ejpam-5851	733	19	indicates	indicate	VERB
ejpam-5851	733	20	high	high	ADJ
ejpam-5851	733	21	energy	energy	NOUN
ejpam-5851	733	22	localization	localization	NOUN
ejpam-5851	733	23	,	,	PUNCT
ejpam-5851	733	24	typical	typical	ADJ
ejpam-5851	733	25	in	in	ADP
ejpam-5851	733	26	rogue	rogue	ADJ
ejpam-5851	733	27	wave	wave	NOUN
ejpam-5851	733	28	precursors	precursor	NOUN
ejpam-5851	733	29	.	.	PUNCT
ejpam-5851	734	1	these	these	DET
ejpam-5851	734	2	localized	localize	VERB
ejpam-5851	734	3	high	high	ADJ
ejpam-5851	734	4	-	-	PUNCT
ejpam-5851	734	5	amplitude	amplitude	NOUN
ejpam-5851	734	6	structures	structure	NOUN
ejpam-5851	734	7	form	form	NOUN
ejpam-5851	734	8	as	as	ADP
ejpam-5851	734	9	a	a	DET
ejpam-5851	734	10	result	result	NOUN
ejpam-5851	734	11	of	of	ADP
ejpam-5851	734	12	nonlinear	nonlinear	ADJ
ejpam-5851	734	13	focusing	focusing	ADJ
ejpam-5851	734	14	effects	effect	NOUN
ejpam-5851	734	15	,	,	PUNCT
ejpam-5851	734	16	rendering	render	VERB
ejpam-5851	734	17	them	they	PRON
ejpam-5851	734	18	central	central	ADJ
ejpam-5851	734	19	to	to	ADP
ejpam-5851	734	20	the	the	DET
ejpam-5851	734	21	comprehension	comprehension	NOUN
ejpam-5851	734	22	of	of	ADP
ejpam-5851	734	23	extreme	extreme	ADJ
ejpam-5851	734	24	wave	wave	NOUN
ejpam-5851	734	25	events	event	NOUN
ejpam-5851	734	26	in	in	ADP
ejpam-5851	734	27	plasma	plasma	NOUN
ejpam-5851	734	28	physics	physics	NOUN
ejpam-5851	734	29	,	,	PUNCT
ejpam-5851	734	30	fiber	fiber	NOUN
ejpam-5851	734	31	optics	optic	NOUN
ejpam-5851	734	32	,	,	PUNCT
ejpam-5851	734	33	and	and	CCONJ
ejpam-5851	734	34	oceanography	oceanography	NOUN
ejpam-5851	734	35	.	.	PUNCT
ejpam-5851	735	1	the	the	DET
ejpam-5851	735	2	abrupt	abrupt	ADJ
ejpam-5851	735	3	energy	energy	NOUN
ejpam-5851	735	4	concentration	concentration	NOUN
ejpam-5851	735	5	proposes	propose	VERB
ejpam-5851	735	6	the	the	DET
ejpam-5851	735	7	possibility	possibility	NOUN
ejpam-5851	735	8	of	of	ADP
ejpam-5851	735	9	the	the	DET
ejpam-5851	735	10	creation	creation	NOUN
ejpam-5851	735	11	of	of	ADP
ejpam-5851	735	12	rogue	rogue	ADJ
ejpam-5851	735	13	waves	wave	NOUN
ejpam-5851	735	14	where	where	SCONJ
ejpam-5851	735	15	nonlinear	nonlinear	ADJ
ejpam-5851	735	16	amplification	amplification	NOUN
ejpam-5851	735	17	causes	cause	VERB
ejpam-5851	735	18	unusual	unusual	ADJ
ejpam-5851	735	19	but	but	CCONJ
ejpam-5851	735	20	immensely	immensely	ADV
ejpam-5851	735	21	strong	strong	ADJ
ejpam-5851	735	22	wave	wave	NOUN
ejpam-5851	735	23	structures	structure	NOUN
ejpam-5851	735	24	.	.	PUNCT
ejpam-5851	736	1	in	in	ADP
ejpam-5851	736	2	total	total	NOUN
ejpam-5851	736	3	,	,	PUNCT
ejpam-5851	736	4	the	the	DET
ejpam-5851	736	5	visual	visual	ADJ
ejpam-5851	736	6	depictions	depiction	NOUN
ejpam-5851	736	7	obtained	obtain	VERB
ejpam-5851	736	8	in	in	ADP
ejpam-5851	736	9	these	these	DET
ejpam-5851	736	10	figures	figure	NOUN
ejpam-5851	736	11	showcase	showcase	VERB
ejpam-5851	736	12	a	a	DET
ejpam-5851	736	13	variety	variety	NOUN
ejpam-5851	736	14	of	of	ADP
ejpam-5851	736	15	wave	wave	NOUN
ejpam-5851	736	16	phenomena	phenomenon	NOUN
ejpam-5851	736	17	ranging	range	VERB
ejpam-5851	736	18	from	from	ADP
ejpam-5851	736	19	soliton	soliton	NOUN
ejpam-5851	736	20	-	-	PUNCT
ejpam-5851	736	21	like	like	ADJ
ejpam-5851	736	22	behavior	behavior	NOUN
ejpam-5851	736	23	and	and	CCONJ
ejpam-5851	736	24	breather	breather	NOUN
ejpam-5851	736	25	dynamics	dynamic	NOUN
ejpam-5851	736	26	to	to	ADP
ejpam-5851	736	27	periodic	periodic	ADJ
ejpam-5851	736	28	lump	lump	NOUN
ejpam-5851	736	29	waves	wave	NOUN
ejpam-5851	736	30	and	and	CCONJ
ejpam-5851	736	31	periodic	periodic	ADJ
ejpam-5851	736	32	cross	cross	ADJ
ejpam-5851	736	33	-	-	ADJ
ejpam-5851	736	34	kink	kink	ADJ
ejpam-5851	736	35	structures	structure	NOUN
ejpam-5851	736	36	.	.	PUNCT
ejpam-5851	737	1	the	the	DET
ejpam-5851	737	2	dynamics	dynamic	NOUN
ejpam-5851	737	3	of	of	ADP
ejpam-5851	737	4	nonlinearity	nonlinearity	NOUN
ejpam-5851	737	5	,	,	PUNCT
ejpam-5851	737	6	dispersion	dispersion	NOUN
ejpam-5851	737	7	,	,	PUNCT
ejpam-5851	737	8	and	and	CCONJ
ejpam-5851	737	9	modulation	modulation	NOUN
ejpam-5851	737	10	effects	effect	NOUN
ejpam-5851	737	11	rule	rule	VERB
ejpam-5851	737	12	the	the	DET
ejpam-5851	737	13	evolution	evolution	NOUN
ejpam-5851	737	14	and	and	CCONJ
ejpam-5851	737	15	stability	stability	NOUN
ejpam-5851	737	16	of	of	ADP
ejpam-5851	737	17	these	these	DET
ejpam-5851	737	18	waves	wave	NOUN
ejpam-5851	737	19	,	,	PUNCT
ejpam-5851	737	20	demonstrating	demonstrate	VERB
ejpam-5851	737	21	the	the	DET
ejpam-5851	737	22	complicated	complicated	ADJ
ejpam-5851	737	23	character	character	NOUN
ejpam-5851	737	24	of	of	ADP
ejpam-5851	737	25	wave	wave	NOUN
ejpam-5851	737	26	interactions	interaction	NOUN
ejpam-5851	737	27	within	within	ADP
ejpam-5851	737	28	nonlinear	nonlinear	ADJ
ejpam-5851	737	29	systems	system	NOUN
ejpam-5851	737	30	.	.	PUNCT
ejpam-5851	738	1	these	these	DET
ejpam-5851	738	2	results	result	NOUN
ejpam-5851	738	3	deepen	deepen	VERB
ejpam-5851	738	4	the	the	DET
ejpam-5851	738	5	knowledge	knowledge	NOUN
ejpam-5851	738	6	on	on	ADP
ejpam-5851	738	7	wave	wave	NOUN
ejpam-5851	738	8	dynamics	dynamic	NOUN
ejpam-5851	738	9	in	in	ADP
ejpam-5851	738	10	mathematical	mathematical	ADJ
ejpam-5851	738	11	physics	physics	NOUN
ejpam-5851	738	12	and	and	CCONJ
ejpam-5851	738	13	nonlinear	nonlinear	ADJ
ejpam-5851	738	14	wave	wave	NOUN
ejpam-5851	738	15	theory	theory	NOUN
ejpam-5851	738	16	.	.	PUNCT
ejpam-5851	739	1	6	6	X
ejpam-5851	739	2	.	.	X
ejpam-5851	739	3	conclusion	conclusion	NOUN
ejpam-5851	739	4	in	in	ADP
ejpam-5851	739	5	this	this	DET
ejpam-5851	739	6	paper	paper	NOUN
ejpam-5851	739	7	,	,	PUNCT
ejpam-5851	739	8	we	we	PRON
ejpam-5851	739	9	have	have	AUX
ejpam-5851	739	10	studied	study	VERB
ejpam-5851	739	11	the	the	DET
ejpam-5851	739	12	heisenberg	heisenberg	PROPN
ejpam-5851	739	13	ferromagnet	ferromagnet	NOUN
ejpam-5851	739	14	type	type	NOUN
ejpam-5851	739	15	of	of	ADP
ejpam-5851	739	16	akbota	akbota	ADJ
ejpam-5851	739	17	problem	problem	NOUN
ejpam-5851	739	18	arising	arise	VERB
ejpam-5851	739	19	in	in	ADP
ejpam-5851	739	20	surface	surface	NOUN
ejpam-5851	739	21	geometry	geometry	NOUN
ejpam-5851	739	22	for	for	ADP
ejpam-5851	739	23	interaction	interaction	NOUN
ejpam-5851	739	24	between	between	ADP
ejpam-5851	739	25	lump	lump	NOUN
ejpam-5851	739	26	and	and	CCONJ
ejpam-5851	739	27	periodic	periodic	ADJ
ejpam-5851	739	28	waves	wave	NOUN
ejpam-5851	739	29	,	,	PUNCT
ejpam-5851	739	30	periodic	periodic	ADJ
ejpam-5851	739	31	and	and	CCONJ
ejpam-5851	739	32	cross	cross	NOUN
ejpam-5851	739	33	kink	kink	PROPN
ejpam-5851	739	34	wave	wave	PROPN
ejpam-5851	739	35	,	,	PUNCT
ejpam-5851	739	36	multi	multi	ADJ
ejpam-5851	739	37	wave	wave	NOUN
ejpam-5851	739	38	,	,	PUNCT
ejpam-5851	739	39	homoclinic	homoclinic	ADJ
ejpam-5851	739	40	breather	breather	NOUN
ejpam-5851	739	41	waves	wave	NOUN
ejpam-5851	739	42	,	,	PUNCT
ejpam-5851	739	43	mixed	mixed	ADJ
ejpam-5851	739	44	waves	wave	NOUN
ejpam-5851	739	45	and	and	CCONJ
ejpam-5851	739	46	interaction	interaction	NOUN
ejpam-5851	739	47	between	between	ADP
ejpam-5851	739	48	m	m	NOUN
ejpam-5851	739	49	-	-	PUNCT
ejpam-5851	739	50	shaped	shape	VERB
ejpam-5851	739	51	with	with	ADP
ejpam-5851	739	52	rogue	rogue	NOUN
ejpam-5851	739	53	and	and	CCONJ
ejpam-5851	739	54	kink	kink	NOUN
ejpam-5851	739	55	waves	wave	NOUN
ejpam-5851	739	56	.	.	PUNCT
ejpam-5851	740	1	under	under	ADP
ejpam-5851	740	2	the	the	DET
ejpam-5851	740	3	impact	impact	NOUN
ejpam-5851	740	4	of	of	ADP
ejpam-5851	740	5	kinks	kink	NOUN
ejpam-5851	740	6	and	and	CCONJ
ejpam-5851	740	7	rogue	rogue	NOUN
ejpam-5851	740	8	waves	wave	NOUN
ejpam-5851	740	9	,	,	PUNCT
ejpam-5851	740	10	the	the	DET
ejpam-5851	740	11	m	m	ADV
ejpam-5851	740	12	-	-	PUNCT
ejpam-5851	740	13	shaped	shape	VERB
ejpam-5851	740	14	wave	wave	NOUN
ejpam-5851	740	15	displays	display	VERB
ejpam-5851	740	16	a	a	DET
ejpam-5851	740	17	profile	profile	NOUN
ejpam-5851	740	18	with	with	ADP
ejpam-5851	740	19	fluctuating	fluctuate	VERB
ejpam-5851	740	20	peaks	peak	NOUN
ejpam-5851	740	21	and	and	CCONJ
ejpam-5851	740	22	troughs	trough	NOUN
ejpam-5851	740	23	that	that	PRON
ejpam-5851	740	24	can	can	AUX
ejpam-5851	740	25	get	get	VERB
ejpam-5851	740	26	more	more	ADV
ejpam-5851	740	27	intricate	intricate	ADJ
ejpam-5851	740	28	and	and	CCONJ
ejpam-5851	740	29	erratic	erratic	ADJ
ejpam-5851	740	30	.	.	PUNCT
ejpam-5851	741	1	complex	complex	ADJ
ejpam-5851	741	2	wave	wave	NOUN
ejpam-5851	741	3	behaviour	behaviour	NOUN
ejpam-5851	741	4	results	result	NOUN
ejpam-5851	741	5	from	from	ADP
ejpam-5851	741	6	these	these	DET
ejpam-5851	741	7	interactions	interaction	NOUN
ejpam-5851	741	8	,	,	PUNCT
ejpam-5851	741	9	which	which	PRON
ejpam-5851	741	10	induce	induce	VERB
ejpam-5851	741	11	large	large	ADJ
ejpam-5851	741	12	deformations	deformation	NOUN
ejpam-5851	741	13	in	in	ADP
ejpam-5851	741	14	the	the	DET
ejpam-5851	741	15	wave	wave	NOUN
ejpam-5851	741	16	’s	’s	PART
ejpam-5851	741	17	height	height	NOUN
ejpam-5851	741	18	and	and	CCONJ
ejpam-5851	741	19	shape	shape	NOUN
ejpam-5851	741	20	.	.	PUNCT
ejpam-5851	742	1	multiple	multiple	ADJ
ejpam-5851	742	2	wave	wave	NOUN
ejpam-5851	742	3	trains	train	NOUN
ejpam-5851	742	4	or	or	CCONJ
ejpam-5851	742	5	patterns	pattern	NOUN
ejpam-5851	742	6	existing	exist	VERB
ejpam-5851	742	7	simultaneously	simultaneously	ADV
ejpam-5851	742	8	in	in	ADP
ejpam-5851	742	9	different	different	ADJ
ejpam-5851	742	10	media	medium	NOUN
ejpam-5851	742	11	,	,	PUNCT
ejpam-5851	742	12	such	such	ADJ
ejpam-5851	742	13	sound	sound	NOUN
ejpam-5851	742	14	,	,	PUNCT
ejpam-5851	742	15	water	water	NOUN
ejpam-5851	742	16	,	,	PUNCT
ejpam-5851	742	17	or	or	CCONJ
ejpam-5851	742	18	electromagnetic	electromagnetic	ADJ
ejpam-5851	742	19	fields	field	NOUN
ejpam-5851	742	20	,	,	PUNCT
ejpam-5851	742	21	are	be	AUX
ejpam-5851	742	22	referred	refer	VERB
ejpam-5851	742	23	to	to	ADP
ejpam-5851	742	24	as	as	ADP
ejpam-5851	742	25	multi	multi	ADJ
ejpam-5851	742	26	waves	wave	NOUN
ejpam-5851	742	27	.	.	PUNCT
ejpam-5851	743	1	either	either	CCONJ
ejpam-5851	743	2	constructive	constructive	ADJ
ejpam-5851	743	3	or	or	CCONJ
ejpam-5851	743	4	destructive	destructive	ADJ
ejpam-5851	743	5	interference	interference	NOUN
ejpam-5851	743	6	can	can	AUX
ejpam-5851	743	7	be	be	AUX
ejpam-5851	743	8	used	use	VERB
ejpam-5851	743	9	to	to	PART
ejpam-5851	743	10	increase	increase	VERB
ejpam-5851	743	11	or	or	CCONJ
ejpam-5851	743	12	decrease	decrease	VERB
ejpam-5851	743	13	the	the	DET
ejpam-5851	743	14	other	other	ADJ
ejpam-5851	743	15	overlapping	overlap	VERB
ejpam-5851	743	16	waves	wave	NOUN
ejpam-5851	743	17	.	.	PUNCT
ejpam-5851	744	1	beat	beat	VERB
ejpam-5851	744	2	frequencies	frequency	NOUN
ejpam-5851	744	3	and	and	CCONJ
ejpam-5851	744	4	other	other	ADJ
ejpam-5851	744	5	complex	complex	ADJ
ejpam-5851	744	6	patterns	pattern	NOUN
ejpam-5851	744	7	and	and	CCONJ
ejpam-5851	744	8	behaviours	behaviour	NOUN
ejpam-5851	744	9	are	be	AUX
ejpam-5851	744	10	produced	produce	VERB
ejpam-5851	744	11	when	when	SCONJ
ejpam-5851	744	12	several	several	ADJ
ejpam-5851	744	13	wave	wave	NOUN
ejpam-5851	744	14	types	type	NOUN
ejpam-5851	744	15	,	,	PUNCT
ejpam-5851	744	16	such	such	ADJ
ejpam-5851	744	17	as	as	ADP
ejpam-5851	744	18	sinusoidal	sinusoidal	NOUN
ejpam-5851	744	19	and	and	CCONJ
ejpam-5851	744	20	rogue	rogue	NOUN
ejpam-5851	744	21	waves	wave	NOUN
ejpam-5851	744	22	,	,	PUNCT
ejpam-5851	744	23	combine	combine	VERB
ejpam-5851	744	24	to	to	PART
ejpam-5851	744	25	form	form	VERB
ejpam-5851	744	26	mixed	mixed	ADJ
ejpam-5851	744	27	waves	wave	NOUN
ejpam-5851	744	28	.	.	PUNCT
ejpam-5851	745	1	when	when	SCONJ
ejpam-5851	745	2	kinks	kink	NOUN
ejpam-5851	745	3	in	in	ADP
ejpam-5851	745	4	wave	wave	NOUN
ejpam-5851	745	5	profiles	profile	NOUN
ejpam-5851	745	6	interact	interact	VERB
ejpam-5851	745	7	with	with	ADP
ejpam-5851	745	8	waves	wave	NOUN
ejpam-5851	745	9	that	that	PRON
ejpam-5851	745	10	occur	occur	VERB
ejpam-5851	745	11	regularly	regularly	ADV
ejpam-5851	745	12	,	,	PUNCT
ejpam-5851	745	13	they	they	PRON
ejpam-5851	745	14	can	can	AUX
ejpam-5851	745	15	cause	cause	VERB
ejpam-5851	745	16	disturbances	disturbance	NOUN
ejpam-5851	745	17	that	that	PRON
ejpam-5851	745	18	are	be	AUX
ejpam-5851	745	19	localised	localise	VERB
ejpam-5851	745	20	and	and	CCONJ
ejpam-5851	745	21	result	result	VERB
ejpam-5851	745	22	in	in	ADP
ejpam-5851	745	23	periodic	periodic	ADJ
ejpam-5851	745	24	cross	cross	ADJ
ejpam-5851	745	25	-	-	ADJ
ejpam-5851	745	26	kink	kink	ADJ
ejpam-5851	745	27	waves	wave	NOUN
ejpam-5851	745	28	.	.	PUNCT
ejpam-5851	746	1	periodic	periodic	ADJ
ejpam-5851	746	2	lumps	lump	NOUN
ejpam-5851	746	3	are	be	AUX
ejpam-5851	746	4	stabilised	stabilise	VERB
ejpam-5851	746	5	in	in	ADP
ejpam-5851	746	6	a	a	DET
ejpam-5851	746	7	moving	move	VERB
ejpam-5851	746	8	frame	frame	NOUN
ejpam-5851	746	9	but	but	CCONJ
ejpam-5851	746	10	may	may	AUX
ejpam-5851	746	11	move	move	VERB
ejpam-5851	746	12	if	if	SCONJ
ejpam-5851	746	13	system	system	NOUN
ejpam-5851	746	14	circumstances	circumstance	NOUN
ejpam-5851	746	15	change	change	VERB
ejpam-5851	746	16	.	.	PUNCT
ejpam-5851	747	1	they	they	PRON
ejpam-5851	747	2	are	be	AUX
ejpam-5851	747	3	defined	define	VERB
ejpam-5851	747	4	by	by	ADP
ejpam-5851	747	5	recurrent	recurrent	ADJ
ejpam-5851	747	6	”	"	PUNCT
ejpam-5851	747	7	bumps	bump	NOUN
ejpam-5851	747	8	”	"	PUNCT
ejpam-5851	747	9	or	or	CCONJ
ejpam-5851	747	10	peaks	peak	NOUN
ejpam-5851	747	11	in	in	ADP
ejpam-5851	747	12	space	space	NOUN
ejpam-5851	747	13	.	.	PUNCT
ejpam-5851	748	1	often	often	ADV
ejpam-5851	748	2	unstable	unstable	ADJ
ejpam-5851	748	3	and	and	CCONJ
ejpam-5851	748	4	exhibiting	exhibit	VERB
ejpam-5851	748	5	intricate	intricate	ADJ
ejpam-5851	748	6	interactions	interaction	NOUN
ejpam-5851	748	7	with	with	ADP
ejpam-5851	748	8	their	their	PRON
ejpam-5851	748	9	surroundings	surrounding	NOUN
ejpam-5851	748	10	,	,	PUNCT
ejpam-5851	748	11	homoclinic	homoclinic	ADJ
ejpam-5851	748	12	breathers	breather	NOUN
ejpam-5851	748	13	can	can	AUX
ejpam-5851	748	14	exhibit	exhibit	VERB
ejpam-5851	748	15	oscillations	oscillation	NOUN
ejpam-5851	748	16	and	and	CCONJ
ejpam-5851	748	17	localised	localised	ADJ
ejpam-5851	748	18	patterns	pattern	NOUN
ejpam-5851	748	19	that	that	PRON
ejpam-5851	748	20	result	result	VERB
ejpam-5851	748	21	in	in	ADP
ejpam-5851	748	22	breather	breather	NOUN
ejpam-5851	748	23	splitting	splitting	NOUN
ejpam-5851	748	24	or	or	CCONJ
ejpam-5851	748	25	fusing	fusing	NOUN
ejpam-5851	748	26	.	.	PUNCT
ejpam-5851	749	1	by	by	ADP
ejpam-5851	749	2	using	use	VERB
ejpam-5851	749	3	ansatz	ansatz	ADJ
ejpam-5851	749	4	transformations	transformation	NOUN
ejpam-5851	749	5	and	and	CCONJ
ejpam-5851	749	6	hirota	hirota	PROPN
ejpam-5851	749	7	bilinear	bilinear	PROPN
ejpam-5851	749	8	approach	approach	NOUN
ejpam-5851	749	9	,	,	PUNCT
ejpam-5851	749	10	we	we	PRON
ejpam-5851	749	11	were	be	AUX
ejpam-5851	749	12	able	able	ADJ
ejpam-5851	749	13	to	to	PART
ejpam-5851	749	14	acquired	acquire	VERB
ejpam-5851	749	15	solutions	solution	NOUN
ejpam-5851	749	16	for	for	ADP
ejpam-5851	749	17	all	all	DET
ejpam-5851	749	18	these	these	DET
ejpam-5851	749	19	wave	wave	NOUN
ejpam-5851	749	20	structures	structure	NOUN
ejpam-5851	749	21	and	and	CCONJ
ejpam-5851	749	22	illustrate	illustrate	VERB
ejpam-5851	749	23	them	they	PRON
ejpam-5851	749	24	in	in	ADP
ejpam-5851	749	25	three	three	NUM
ejpam-5851	749	26	dimensional	dimensional	ADJ
ejpam-5851	749	27	,	,	PUNCT
ejpam-5851	749	28	contour	contour	ADJ
ejpam-5851	749	29	and	and	CCONJ
ejpam-5851	749	30	density	density	NOUN
ejpam-5851	749	31	plots	plot	NOUN
ejpam-5851	749	32	.	.	PUNCT
ejpam-5851	750	1	all	all	ADV
ejpam-5851	750	2	in	in	ADP
ejpam-5851	750	3	all	all	PRON
ejpam-5851	750	4	,	,	PUNCT
ejpam-5851	750	5	this	this	DET
ejpam-5851	750	6	work	work	NOUN
ejpam-5851	750	7	advances	advance	VERB
ejpam-5851	750	8	the	the	DET
ejpam-5851	750	9	theoretical	theoretical	ADJ
ejpam-5851	750	10	understanding	understanding	NOUN
ejpam-5851	750	11	of	of	ADP
ejpam-5851	750	12	wave	wave	NOUN
ejpam-5851	750	13	dynamics	dynamic	NOUN
ejpam-5851	750	14	by	by	ADP
ejpam-5851	750	15	employing	employ	VERB
ejpam-5851	750	16	the	the	DET
ejpam-5851	750	17	mathematical	mathematical	ADJ
ejpam-5851	750	18	method	method	NOUN
ejpam-5851	750	19	of	of	ADP
ejpam-5851	750	20	the	the	DET
ejpam-5851	750	21	hirota	hirota	PROPN
ejpam-5851	750	22	bilinear	bilinear	NOUN
ejpam-5851	750	23	technique	technique	NOUN
ejpam-5851	750	24	and	and	CCONJ
ejpam-5851	750	25	offers	offer	VERB
ejpam-5851	750	26	specific	specific	ADJ
ejpam-5851	750	27	interpretations	interpretation	NOUN
ejpam-5851	750	28	and	and	CCONJ
ejpam-5851	750	29	applications	application	NOUN
ejpam-5851	750	30	in	in	ADP
ejpam-5851	750	31	a	a	DET
ejpam-5851	750	32	number	number	NOUN
ejpam-5851	750	33	of	of	ADP
ejpam-5851	750	34	scientific	scientific	ADJ
ejpam-5851	750	35	fields	field	NOUN
ejpam-5851	750	36	.	.	PUNCT
ejpam-5851	751	1	from	from	ADP
ejpam-5851	751	2	the	the	DET
ejpam-5851	751	3	prediction	prediction	NOUN
ejpam-5851	751	4	of	of	ADP
ejpam-5851	751	5	catastrophic	catastrophic	ADJ
ejpam-5851	751	6	wave	wave	NOUN
ejpam-5851	751	7	occurrences	occurrence	NOUN
ejpam-5851	751	8	to	to	ADP
ejpam-5851	751	9	the	the	DET
ejpam-5851	751	10	optimisation	optimisation	NOUN
ejpam-5851	751	11	of	of	ADP
ejpam-5851	751	12	wave	wave	NOUN
ejpam-5851	751	13	-	-	PUNCT
ejpam-5851	751	14	based	base	VERB
ejpam-5851	751	15	technology	technology	NOUN
ejpam-5851	751	16	,	,	PUNCT
ejpam-5851	751	17	our	our	PRON
ejpam-5851	751	18	findings	finding	NOUN
ejpam-5851	751	19	have	have	VERB
ejpam-5851	751	20	implications	implication	NOUN
ejpam-5851	751	21	for	for	ADP
ejpam-5851	751	22	a	a	DET
ejpam-5851	751	23	broad	broad	ADJ
ejpam-5851	751	24	spectrum	spectrum	NOUN
ejpam-5851	751	25	of	of	ADP
ejpam-5851	751	26	physical	physical	ADJ
ejpam-5851	751	27	phenomena	phenomenon	NOUN
ejpam-5851	751	28	and	and	CCONJ
ejpam-5851	751	29	economic	economic	ADJ
ejpam-5851	751	30	implications	implication	NOUN
ejpam-5851	751	31	.	.	PUNCT
ejpam-5851	752	1	this	this	DET
ejpam-5851	752	2	study	study	NOUN
ejpam-5851	752	3	leaves	leave	VERB
ejpam-5851	752	4	a	a	DET
ejpam-5851	752	5	few	few	ADJ
ejpam-5851	752	6	doors	door	NOUN
ejpam-5851	752	7	open	open	ADJ
ejpam-5851	752	8	for	for	ADP
ejpam-5851	752	9	future	future	ADJ
ejpam-5851	752	10	research	research	NOUN
ejpam-5851	752	11	.	.	PUNCT
ejpam-5851	753	1	generalizing	generalize	VERB
ejpam-5851	753	2	the	the	DET
ejpam-5851	753	3	hirota	hirota	PROPN
ejpam-5851	753	4	bilinear	bilinear	NOUN
ejpam-5851	753	5	method	method	NOUN
ejpam-5851	753	6	to	to	ADP
ejpam-5851	753	7	higher	higher	ADV
ejpam-5851	753	8	-	-	PUNCT
ejpam-5851	753	9	dimensional	dimensional	ADJ
ejpam-5851	753	10	models	model	NOUN
ejpam-5851	753	11	and	and	CCONJ
ejpam-5851	753	12	other	other	ADJ
ejpam-5851	753	13	nonlinear	nonlinear	ADJ
ejpam-5851	753	14	systems	system	NOUN
ejpam-5851	753	15	may	may	AUX
ejpam-5851	753	16	give	give	VERB
ejpam-5851	753	17	further	further	ADJ
ejpam-5851	753	18	insights	insight	NOUN
ejpam-5851	753	19	into	into	ADP
ejpam-5851	753	20	wave	wave	NOUN
ejpam-5851	753	21	phenomena	phenomenon	NOUN
ejpam-5851	753	22	of	of	ADP
ejpam-5851	753	23	complex	complex	ADJ
ejpam-5851	753	24	nature	nature	NOUN
ejpam-5851	753	25	.	.	PUNCT
ejpam-5851	754	1	stability	stability	NOUN
ejpam-5851	754	2	and	and	CCONJ
ejpam-5851	754	3	dynamics	dynamic	NOUN
ejpam-5851	754	4	of	of	ADP
ejpam-5851	754	5	the	the	DET
ejpam-5851	754	6	obtained	obtain	VERB
ejpam-5851	754	7	solutions	solution	NOUN
ejpam-5851	754	8	,	,	PUNCT
ejpam-5851	754	9	including	include	VERB
ejpam-5851	754	10	experimental	experimental	ADJ
ejpam-5851	754	11	testing	testing	NOUN
ejpam-5851	754	12	,	,	PUNCT
ejpam-5851	754	13	would	would	AUX
ejpam-5851	754	14	fill	fill	VERB
ejpam-5851	754	15	the	the	DET
ejpam-5851	754	16	gap	gap	NOUN
ejpam-5851	754	17	between	between	ADP
ejpam-5851	754	18	theory	theory	NOUN
ejpam-5851	754	19	and	and	CCONJ
ejpam-5851	754	20	practice	practice	NOUN
ejpam-5851	754	21	.	.	PUNCT
ejpam-5851	755	1	numerical	numerical	PROPN
ejpam-5851	755	2	solutions	solutions	PROPN
ejpam-5851	755	3	b.	b.	PROPN
ejpam-5851	755	4	ceesay	ceesay	PROPN
ejpam-5851	755	5	et	et	PROPN
ejpam-5851	755	6	al	al	PROPN
ejpam-5851	755	7	.	.	PUNCT
ejpam-5851	755	8	/	/	SYM
ejpam-5851	755	9	eur	eur	PROPN
ejpam-5851	755	10	.	.	PUNCT
ejpam-5851	756	1	j.	j.	PROPN
ejpam-5851	756	2	pure	pure	PROPN
ejpam-5851	756	3	appl	appl	PROPN
ejpam-5851	756	4	.	.	PROPN
ejpam-5851	756	5	math	math	PROPN
ejpam-5851	756	6	,	,	PUNCT
ejpam-5851	756	7	18	18	NUM
ejpam-5851	756	8	(	(	PUNCT
ejpam-5851	756	9	2	2	NUM
ejpam-5851	756	10	)	)	PUNCT
ejpam-5851	756	11	(	(	PUNCT
ejpam-5851	756	12	2025	2025	NUM
ejpam-5851	756	13	)	)	PUNCT
ejpam-5851	756	14	,	,	PUNCT
ejpam-5851	756	15	5851	5851	NUM
ejpam-5851	756	16	29	29	NUM
ejpam-5851	756	17	of	of	ADP
ejpam-5851	756	18	32	32	NUM
ejpam-5851	756	19	and	and	CCONJ
ejpam-5851	756	20	analysis	analysis	NOUN
ejpam-5851	756	21	of	of	ADP
ejpam-5851	756	22	wave	wave	NOUN
ejpam-5851	756	23	interaction	interaction	NOUN
ejpam-5851	756	24	could	could	AUX
ejpam-5851	756	25	introduce	introduce	VERB
ejpam-5851	756	26	new	new	ADJ
ejpam-5851	756	27	hybrid	hybrid	ADJ
ejpam-5851	756	28	structures	structure	NOUN
ejpam-5851	756	29	and	and	CCONJ
ejpam-5851	756	30	their	their	PRON
ejpam-5851	756	31	possibility	possibility	NOUN
ejpam-5851	756	32	of	of	ADP
ejpam-5851	756	33	application	application	NOUN
ejpam-5851	756	34	.	.	PUNCT
ejpam-5851	757	1	exploring	explore	VERB
ejpam-5851	757	2	the	the	DET
ejpam-5851	757	3	fractional	fractional	ADJ
ejpam-5851	757	4	and	and	CCONJ
ejpam-5851	757	5	stochastic	stochastic	ADJ
ejpam-5851	757	6	character	character	NOUN
ejpam-5851	757	7	of	of	ADP
ejpam-5851	757	8	the	the	DET
ejpam-5851	757	9	akbota	akbota	ADJ
ejpam-5851	757	10	equation	equation	NOUN
ejpam-5851	757	11	would	would	AUX
ejpam-5851	757	12	add	add	VERB
ejpam-5851	757	13	more	more	ADJ
ejpam-5851	757	14	potential	potential	NOUN
ejpam-5851	757	15	for	for	ADP
ejpam-5851	757	16	its	its	PRON
ejpam-5851	757	17	use	use	NOUN
ejpam-5851	757	18	.	.	PUNCT
ejpam-5851	758	1	studying	study	VERB
ejpam-5851	758	2	the	the	DET
ejpam-5851	758	3	fractional	fractional	ADJ
ejpam-5851	758	4	form	form	NOUN
ejpam-5851	758	5	of	of	ADP
ejpam-5851	758	6	the	the	DET
ejpam-5851	758	7	equation	equation	NOUN
ejpam-5851	758	8	,	,	PUNCT
ejpam-5851	758	9	where	where	SCONJ
ejpam-5851	758	10	derivatives	derivative	NOUN
ejpam-5851	758	11	are	be	AUX
ejpam-5851	758	12	replaced	replace	VERB
ejpam-5851	758	13	with	with	ADP
ejpam-5851	758	14	fractional	fractional	ADJ
ejpam-5851	758	15	-	-	PUNCT
ejpam-5851	758	16	order	order	NOUN
ejpam-5851	758	17	operators	operator	NOUN
ejpam-5851	758	18	,	,	PUNCT
ejpam-5851	758	19	could	could	AUX
ejpam-5851	758	20	indicate	indicate	VERB
ejpam-5851	758	21	new	new	ADJ
ejpam-5851	758	22	wave	wave	NOUN
ejpam-5851	758	23	patterns	pattern	NOUN
ejpam-5851	758	24	and	and	CCONJ
ejpam-5851	758	25	dynamics	dynamic	NOUN
ejpam-5851	758	26	,	,	PUNCT
ejpam-5851	758	27	for	for	ADP
ejpam-5851	758	28	instance	instance	NOUN
ejpam-5851	758	29	,	,	PUNCT
ejpam-5851	758	30	solitons	soliton	NOUN
ejpam-5851	758	31	or	or	CCONJ
ejpam-5851	758	32	breathers	breather	NOUN
ejpam-5851	758	33	,	,	PUNCT
ejpam-5851	758	34	particularly	particularly	ADV
ejpam-5851	758	35	usable	usable	ADJ
ejpam-5851	758	36	in	in	ADP
ejpam-5851	758	37	memory	memory	NOUN
ejpam-5851	758	38	effects	effect	NOUN
ejpam-5851	758	39	or	or	CCONJ
ejpam-5851	758	40	anomalous	anomalous	ADJ
ejpam-5851	758	41	diffusion	diffusion	NOUN
ejpam-5851	758	42	systems	system	NOUN
ejpam-5851	758	43	.	.	PUNCT
ejpam-5851	759	1	introduction	introduction	NOUN
ejpam-5851	759	2	of	of	ADP
ejpam-5851	759	3	stochastic	stochastic	ADJ
ejpam-5851	759	4	terms	term	NOUN
ejpam-5851	759	5	will	will	AUX
ejpam-5851	759	6	allow	allow	VERB
ejpam-5851	759	7	wave	wave	NOUN
ejpam-5851	759	8	behavior	behavior	NOUN
ejpam-5851	759	9	under	under	ADP
ejpam-5851	759	10	conditions	condition	NOUN
ejpam-5851	759	11	of	of	ADP
ejpam-5851	759	12	random	random	ADJ
ejpam-5851	759	13	noise	noise	NOUN
ejpam-5851	759	14	or	or	CCONJ
ejpam-5851	759	15	fluctuations	fluctuation	NOUN
ejpam-5851	759	16	to	to	PART
ejpam-5851	759	17	be	be	AUX
ejpam-5851	759	18	studied	study	VERB
ejpam-5851	759	19	and	and	CCONJ
ejpam-5851	759	20	result	result	VERB
ejpam-5851	759	21	in	in	ADP
ejpam-5851	759	22	more	more	ADV
ejpam-5851	759	23	realistic	realistic	ADJ
ejpam-5851	759	24	models	model	NOUN
ejpam-5851	759	25	for	for	ADP
ejpam-5851	759	26	real	real	ADJ
ejpam-5851	759	27	systems	system	NOUN
ejpam-5851	759	28	.	.	PUNCT
ejpam-5851	760	1	hybrids	hybrid	NOUN
ejpam-5851	760	2	of	of	ADP
ejpam-5851	760	3	fractional	fractional	ADJ
ejpam-5851	760	4	and	and	CCONJ
ejpam-5851	760	5	stochastic	stochastic	ADJ
ejpam-5851	760	6	approaches	approach	NOUN
ejpam-5851	760	7	can	can	AUX
ejpam-5851	760	8	be	be	AUX
ejpam-5851	760	9	constructed	construct	VERB
ejpam-5851	760	10	and	and	CCONJ
ejpam-5851	760	11	may	may	AUX
ejpam-5851	760	12	provide	provide	VERB
ejpam-5851	760	13	better	well	ADJ
ejpam-5851	760	14	applicable	applicable	ADJ
ejpam-5851	760	15	models	model	NOUN
ejpam-5851	760	16	for	for	ADP
ejpam-5851	760	17	sophisticated	sophisticated	ADJ
ejpam-5851	760	18	systems	system	NOUN
ejpam-5851	760	19	,	,	PUNCT
ejpam-5851	760	20	including	include	VERB
ejpam-5851	760	21	turbulent	turbulent	ADJ
ejpam-5851	760	22	fluids	fluid	NOUN
ejpam-5851	760	23	,	,	PUNCT
ejpam-5851	760	24	disordered	disordered	ADJ
ejpam-5851	760	25	materials	material	NOUN
ejpam-5851	760	26	,	,	PUNCT
ejpam-5851	760	27	or	or	CCONJ
ejpam-5851	760	28	membranes	membrane	NOUN
ejpam-5851	760	29	in	in	ADP
ejpam-5851	760	30	biology	biology	NOUN
ejpam-5851	760	31	.	.	PUNCT
ejpam-5851	761	1	last	last	ADJ
ejpam-5851	761	2	but	but	CCONJ
ejpam-5851	761	3	not	not	PART
ejpam-5851	761	4	least	least	ADJ
ejpam-5851	761	5	,	,	PUNCT
ejpam-5851	761	6	transferring	transfer	VERB
ejpam-5851	761	7	these	these	DET
ejpam-5851	761	8	solutions	solution	NOUN
ejpam-5851	761	9	to	to	ADP
ejpam-5851	761	10	emerging	emerge	VERB
ejpam-5851	761	11	technological	technological	ADJ
ejpam-5851	761	12	areas	area	NOUN
ejpam-5851	761	13	,	,	PUNCT
ejpam-5851	761	14	including	include	VERB
ejpam-5851	761	15	optical	optical	ADJ
ejpam-5851	761	16	communications	communication	NOUN
ejpam-5851	761	17	,	,	PUNCT
ejpam-5851	761	18	magnetic	magnetic	ADJ
ejpam-5851	761	19	systems	system	NOUN
ejpam-5851	761	20	,	,	PUNCT
ejpam-5851	761	21	and	and	CCONJ
ejpam-5851	761	22	wave	wave	NOUN
ejpam-5851	761	23	propagation	propagation	NOUN
ejpam-5851	761	24	under	under	ADP
ejpam-5851	761	25	noise	noise	NOUN
ejpam-5851	761	26	drive	drive	NOUN
ejpam-5851	761	27	,	,	PUNCT
ejpam-5851	761	28	may	may	AUX
ejpam-5851	761	29	lead	lead	VERB
ejpam-5851	761	30	to	to	ADP
ejpam-5851	761	31	enhanced	enhanced	ADJ
ejpam-5851	761	32	performance	performance	NOUN
ejpam-5851	761	33	and	and	CCONJ
ejpam-5851	761	34	innovation	innovation	NOUN
ejpam-5851	761	35	in	in	ADP
ejpam-5851	761	36	these	these	DET
ejpam-5851	761	37	technologies	technology	NOUN
ejpam-5851	761	38	.	.	PUNCT
ejpam-5851	762	1	such	such	ADJ
ejpam-5851	762	2	directions	direction	NOUN
ejpam-5851	762	3	of	of	ADP
ejpam-5851	762	4	future	future	ADJ
ejpam-5851	762	5	work	work	NOUN
ejpam-5851	762	6	would	would	AUX
ejpam-5851	762	7	not	not	PART
ejpam-5851	762	8	only	only	ADV
ejpam-5851	762	9	push	push	VERB
ejpam-5851	762	10	the	the	DET
ejpam-5851	762	11	theoretical	theoretical	ADJ
ejpam-5851	762	12	foundations	foundation	NOUN
ejpam-5851	762	13	of	of	ADP
ejpam-5851	762	14	the	the	DET
ejpam-5851	762	15	akbota	akbota	ADJ
ejpam-5851	762	16	equation	equation	NOUN
ejpam-5851	762	17	further	far	ADV
ejpam-5851	762	18	but	but	CCONJ
ejpam-5851	762	19	also	also	ADV
ejpam-5851	762	20	extend	extend	VERB
ejpam-5851	762	21	its	its	PRON
ejpam-5851	762	22	applications	application	NOUN
ejpam-5851	762	23	in	in	ADP
ejpam-5851	762	24	science	science	NOUN
ejpam-5851	762	25	and	and	CCONJ
ejpam-5851	762	26	engineering	engineering	NOUN
ejpam-5851	762	27	.	.	PUNCT
ejpam-5851	763	1	acknowledgements	acknowledgement	NOUN
ejpam-5851	763	2	one	one	NUM
ejpam-5851	763	3	of	of	ADP
ejpam-5851	763	4	the	the	DET
ejpam-5851	763	5	corresponding	correspond	VERB
ejpam-5851	763	6	authors	author	NOUN
ejpam-5851	763	7	(	(	PUNCT
ejpam-5851	763	8	a.g	a.g	PROPN
ejpam-5851	763	9	.	.	PROPN
ejpam-5851	763	10	)	)	PUNCT
ejpam-5851	763	11	acknowledges	acknowledge	VERB
ejpam-5851	763	12	the	the	DET
ejpam-5851	763	13	support	support	NOUN
ejpam-5851	763	14	from	from	ADP
ejpam-5851	763	15	the	the	DET
ejpam-5851	763	16	university	university	PROPN
ejpam-5851	763	17	of	of	ADP
ejpam-5851	763	18	guadalajara	guadalajara	PROPN
ejpam-5851	763	19	,	,	PUNCT
ejpam-5851	763	20	mexico	mexico	PROPN
ejpam-5851	763	21	,	,	PUNCT
ejpam-5851	763	22	through	through	ADP
ejpam-5851	763	23	the	the	DET
ejpam-5851	763	24	program	program	NOUN
ejpam-5851	763	25	prosni	prosni	NOUN
ejpam-5851	763	26	.	.	PUNCT
ejpam-5851	764	1	declarations	declaration	NOUN
ejpam-5851	764	2	author	author	NOUN
ejpam-5851	764	3	contributions	contribution	NOUN
ejpam-5851	764	4	conceptualization	conceptualization	NOUN
ejpam-5851	764	5	:	:	PUNCT
ejpam-5851	764	6	b.c	b.c	PROPN
ejpam-5851	764	7	.	.	PROPN
ejpam-5851	764	8	,	,	PUNCT
ejpam-5851	764	9	m.z.b	m.z.b	PROPN
ejpam-5851	764	10	.	.	PROPN
ejpam-5851	764	11	,	,	PUNCT
ejpam-5851	764	12	n.a	n.a	PROPN
ejpam-5851	764	13	.	.	PROPN
ejpam-5851	764	14	,	,	PUNCT
ejpam-5851	764	15	m.j	m.j	PROPN
ejpam-5851	764	16	.	.	PROPN
ejpam-5851	764	17	,	,	PUNCT
ejpam-5851	764	18	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	764	19	.	.	PROPN
ejpam-5851	764	20	and	and	CCONJ
ejpam-5851	764	21	a.g	a.g	PROPN
ejpam-5851	764	22	.	.	PROPN
ejpam-5851	764	23	;	;	PUNCT
ejpam-5851	764	24	data	datum	NOUN
ejpam-5851	764	25	curation	curation	NOUN
ejpam-5851	764	26	:	:	PUNCT
ejpam-5851	764	27	b.c	b.c	PROPN
ejpam-5851	764	28	.	.	PROPN
ejpam-5851	764	29	,	,	PUNCT
ejpam-5851	764	30	m.z.b	m.z.b	PROPN
ejpam-5851	764	31	.	.	PROPN
ejpam-5851	764	32	,	,	PUNCT
ejpam-5851	764	33	n.a	n.a	PROPN
ejpam-5851	764	34	.	.	PROPN
ejpam-5851	764	35	,	,	PUNCT
ejpam-5851	764	36	m.j	m.j	PROPN
ejpam-5851	764	37	.	.	PROPN
ejpam-5851	764	38	,	,	PUNCT
ejpam-5851	764	39	s.m	s.m	PROPN
ejpam-5851	764	40	.	.	PROPN
ejpam-5851	764	41	,	,	PUNCT
ejpam-5851	764	42	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	764	43	.	.	PROPN
ejpam-5851	764	44	and	and	CCONJ
ejpam-5851	764	45	a.g	a.g	PROPN
ejpam-5851	764	46	.	.	PROPN
ejpam-5851	764	47	;	;	PUNCT
ejpam-5851	764	48	formal	formal	ADJ
ejpam-5851	764	49	analysis	analysis	NOUN
ejpam-5851	764	50	:	:	PUNCT
ejpam-5851	764	51	b.c	b.c	PROPN
ejpam-5851	764	52	.	.	PROPN
ejpam-5851	764	53	,	,	PUNCT
ejpam-5851	764	54	m.z.b	m.z.b	PROPN
ejpam-5851	764	55	.	.	PROPN
ejpam-5851	764	56	,	,	PUNCT
ejpam-5851	764	57	n.a	n.a	PROPN
ejpam-5851	764	58	.	.	PROPN
ejpam-5851	764	59	,	,	PUNCT
ejpam-5851	764	60	m.j	m.j	PROPN
ejpam-5851	764	61	.	.	PROPN
ejpam-5851	764	62	,	,	PUNCT
ejpam-5851	764	63	s.m	s.m	PROPN
ejpam-5851	764	64	.	.	PROPN
ejpam-5851	764	65	,	,	PUNCT
ejpam-5851	764	66	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	764	67	.	.	PROPN
ejpam-5851	764	68	and	and	CCONJ
ejpam-5851	764	69	a.g	a.g	PROPN
ejpam-5851	764	70	.	.	PROPN
ejpam-5851	764	71	;	;	PUNCT
ejpam-5851	764	72	funding	funding	NOUN
ejpam-5851	764	73	acquisition	acquisition	NOUN
ejpam-5851	764	74	:	:	PUNCT
ejpam-5851	765	1	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	765	2	.	.	PROPN
ejpam-5851	765	3	and	and	CCONJ
ejpam-5851	765	4	a.g	a.g	PROPN
ejpam-5851	765	5	.	.	PROPN
ejpam-5851	765	6	;	;	PUNCT
ejpam-5851	765	7	investigation	investigation	NOUN
ejpam-5851	765	8	:	:	PUNCT
ejpam-5851	765	9	b.c	b.c	PROPN
ejpam-5851	765	10	.	.	PROPN
ejpam-5851	765	11	,	,	PUNCT
ejpam-5851	765	12	m.z.b	m.z.b	PROPN
ejpam-5851	765	13	.	.	PROPN
ejpam-5851	765	14	,	,	PUNCT
ejpam-5851	765	15	n.a	n.a	PROPN
ejpam-5851	765	16	.	.	PROPN
ejpam-5851	765	17	,	,	PUNCT
ejpam-5851	765	18	m.j	m.j	PROPN
ejpam-5851	765	19	.	.	PROPN
ejpam-5851	765	20	,	,	PUNCT
ejpam-5851	765	21	s.m	s.m	PROPN
ejpam-5851	765	22	.	.	PROPN
ejpam-5851	765	23	,	,	PUNCT
ejpam-5851	765	24	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	765	25	.	.	PROPN
ejpam-5851	765	26	and	and	CCONJ
ejpam-5851	765	27	a.g	a.g	PROPN
ejpam-5851	765	28	.	.	PROPN
ejpam-5851	765	29	;	;	PUNCT
ejpam-5851	765	30	methodology	methodology	NOUN
ejpam-5851	765	31	:	:	PUNCT
ejpam-5851	765	32	b.c	b.c	PROPN
ejpam-5851	765	33	.	.	PROPN
ejpam-5851	765	34	,	,	PUNCT
ejpam-5851	765	35	m.z.b	m.z.b	PROPN
ejpam-5851	765	36	.	.	PROPN
ejpam-5851	765	37	,	,	PUNCT
ejpam-5851	765	38	n.a	n.a	PROPN
ejpam-5851	765	39	.	.	PROPN
ejpam-5851	765	40	,	,	PUNCT
ejpam-5851	765	41	m.j	m.j	PROPN
ejpam-5851	765	42	.	.	PROPN
ejpam-5851	765	43	,	,	PUNCT
ejpam-5851	765	44	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	765	45	.	.	PROPN
ejpam-5851	765	46	and	and	CCONJ
ejpam-5851	765	47	a.g	a.g	PROPN
ejpam-5851	765	48	.	.	PROPN
ejpam-5851	765	49	;	;	PUNCT
ejpam-5851	765	50	project	project	NOUN
ejpam-5851	765	51	administration	administration	NOUN
ejpam-5851	765	52	:	:	PUNCT
ejpam-5851	765	53	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	765	54	.	.	PROPN
ejpam-5851	765	55	and	and	CCONJ
ejpam-5851	765	56	a.g	a.g	PROPN
ejpam-5851	765	57	.	.	PROPN
ejpam-5851	765	58	;	;	PUNCT
ejpam-5851	765	59	resources	resource	NOUN
ejpam-5851	765	60	:	:	PUNCT
ejpam-5851	765	61	b.c	b.c	PROPN
ejpam-5851	765	62	.	.	PROPN
ejpam-5851	765	63	,	,	PUNCT
ejpam-5851	765	64	m.z.b	m.z.b	PROPN
ejpam-5851	765	65	.	.	PROPN
ejpam-5851	765	66	,	,	PUNCT
ejpam-5851	765	67	n.a	n.a	PROPN
ejpam-5851	765	68	.	.	PROPN
ejpam-5851	765	69	,	,	PUNCT
ejpam-5851	765	70	m.j	m.j	PROPN
ejpam-5851	765	71	.	.	PROPN
ejpam-5851	765	72	,	,	PUNCT
ejpam-5851	765	73	s.m	s.m	PROPN
ejpam-5851	765	74	.	.	PROPN
ejpam-5851	765	75	,	,	PUNCT
ejpam-5851	765	76	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	765	77	.	.	PROPN
ejpam-5851	765	78	and	and	CCONJ
ejpam-5851	765	79	a.g	a.g	PROPN
ejpam-5851	765	80	.	.	PROPN
ejpam-5851	765	81	;	;	PUNCT
ejpam-5851	765	82	software	software	NOUN
ejpam-5851	765	83	:	:	PUNCT
ejpam-5851	765	84	b.c	b.c	PROPN
ejpam-5851	765	85	.	.	PROPN
ejpam-5851	765	86	,	,	PUNCT
ejpam-5851	765	87	m.z.b	m.z.b	PROPN
ejpam-5851	765	88	.	.	PROPN
ejpam-5851	765	89	,	,	PUNCT
ejpam-5851	765	90	n.a	n.a	PROPN
ejpam-5851	765	91	.	.	PROPN
ejpam-5851	765	92	,	,	PUNCT
ejpam-5851	765	93	m.j	m.j	PROPN
ejpam-5851	765	94	.	.	PROPN
ejpam-5851	765	95	,	,	PUNCT
ejpam-5851	765	96	s.m	s.m	PROPN
ejpam-5851	765	97	.	.	PROPN
ejpam-5851	765	98	,	,	PUNCT
ejpam-5851	765	99	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	765	100	.	.	PROPN
ejpam-5851	765	101	and	and	CCONJ
ejpam-5851	765	102	a.g	a.g	PROPN
ejpam-5851	765	103	.	.	PROPN
ejpam-5851	765	104	;	;	PUNCT
ejpam-5851	765	105	supervision	supervision	NOUN
ejpam-5851	765	106	:	:	PUNCT
ejpam-5851	765	107	b.c	b.c	PROPN
ejpam-5851	765	108	.	.	PROPN
ejpam-5851	765	109	,	,	PUNCT
ejpam-5851	765	110	m.z.b	m.z.b	PROPN
ejpam-5851	765	111	.	.	PROPN
ejpam-5851	765	112	,	,	PUNCT
ejpam-5851	765	113	n.a	n.a	PROPN
ejpam-5851	765	114	.	.	PROPN
ejpam-5851	765	115	,	,	PUNCT
ejpam-5851	765	116	m.j	m.j	PROPN
ejpam-5851	765	117	.	.	PROPN
ejpam-5851	765	118	,	,	PUNCT
ejpam-5851	765	119	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	765	120	.	.	PROPN
ejpam-5851	765	121	and	and	CCONJ
ejpam-5851	765	122	a.g	a.g	PROPN
ejpam-5851	765	123	.	.	PROPN
ejpam-5851	765	124	;	;	PUNCT
ejpam-5851	765	125	validation	validation	NOUN
ejpam-5851	765	126	:	:	PUNCT
ejpam-5851	765	127	b.c	b.c	PROPN
ejpam-5851	765	128	.	.	PROPN
ejpam-5851	765	129	,	,	PUNCT
ejpam-5851	765	130	m.z.b	m.z.b	PROPN
ejpam-5851	765	131	.	.	PROPN
ejpam-5851	765	132	,	,	PUNCT
ejpam-5851	765	133	n.a	n.a	PROPN
ejpam-5851	765	134	.	.	PROPN
ejpam-5851	765	135	,	,	PUNCT
ejpam-5851	765	136	m.j	m.j	PROPN
ejpam-5851	765	137	.	.	PROPN
ejpam-5851	765	138	,	,	PUNCT
ejpam-5851	765	139	s.m	s.m	PROPN
ejpam-5851	765	140	.	.	PROPN
ejpam-5851	765	141	,	,	PUNCT
ejpam-5851	765	142	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	765	143	.	.	PROPN
ejpam-5851	765	144	and	and	CCONJ
ejpam-5851	765	145	a.g	a.g	PROPN
ejpam-5851	765	146	.	.	PROPN
ejpam-5851	765	147	;	;	PUNCT
ejpam-5851	765	148	visualization	visualization	NOUN
ejpam-5851	765	149	:	:	PUNCT
ejpam-5851	765	150	b.c	b.c	PROPN
ejpam-5851	765	151	.	.	PROPN
ejpam-5851	765	152	,	,	PUNCT
ejpam-5851	765	153	m.z.b	m.z.b	PROPN
ejpam-5851	765	154	.	.	PROPN
ejpam-5851	765	155	,	,	PUNCT
ejpam-5851	765	156	n.a	n.a	PROPN
ejpam-5851	765	157	.	.	PROPN
ejpam-5851	765	158	,	,	PUNCT
ejpam-5851	765	159	m.j	m.j	PROPN
ejpam-5851	765	160	.	.	PROPN
ejpam-5851	765	161	,	,	PUNCT
ejpam-5851	765	162	s.m	s.m	PROPN
ejpam-5851	765	163	.	.	PROPN
ejpam-5851	765	164	,	,	PUNCT
ejpam-5851	765	165	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	765	166	.	.	PROPN
ejpam-5851	765	167	and	and	CCONJ
ejpam-5851	765	168	a.g	a.g	PROPN
ejpam-5851	765	169	.	.	PROPN
ejpam-5851	765	170	;	;	PUNCT
ejpam-5851	765	171	roles	role	NOUN
ejpam-5851	765	172	/	/	SYM
ejpam-5851	765	173	writing	writing	NOUN
ejpam-5851	765	174	–	–	PUNCT
ejpam-5851	765	175	original	original	ADJ
ejpam-5851	765	176	draft	draft	NOUN
ejpam-5851	765	177	:	:	PUNCT
ejpam-5851	765	178	b.c	b.c	PROPN
ejpam-5851	765	179	.	.	PROPN
ejpam-5851	765	180	,	,	PUNCT
ejpam-5851	765	181	m.z.b	m.z.b	PROPN
ejpam-5851	765	182	.	.	PROPN
ejpam-5851	765	183	,	,	PUNCT
ejpam-5851	765	184	n.a	n.a	PROPN
ejpam-5851	765	185	.	.	PROPN
ejpam-5851	765	186	,	,	PUNCT
ejpam-5851	765	187	m.j	m.j	PROPN
ejpam-5851	765	188	.	.	PROPN
ejpam-5851	765	189	,	,	PUNCT
ejpam-5851	765	190	s.m	s.m	PROPN
ejpam-5851	765	191	.	.	PROPN
ejpam-5851	765	192	,	,	PUNCT
ejpam-5851	765	193	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	765	194	.	.	PROPN
ejpam-5851	765	195	and	and	CCONJ
ejpam-5851	765	196	a.g	a.g	PROPN
ejpam-5851	765	197	.	.	PROPN
ejpam-5851	765	198	;	;	PUNCT
ejpam-5851	765	199	writing	write	VERB
ejpam-5851	765	200	–	–	PUNCT
ejpam-5851	765	201	review	review	NOUN
ejpam-5851	765	202	&	&	CCONJ
ejpam-5851	765	203	editing	editing	PROPN
ejpam-5851	765	204	:	:	PUNCT
ejpam-5851	765	205	b.c	b.c	PROPN
ejpam-5851	765	206	.	.	PROPN
ejpam-5851	765	207	,	,	PUNCT
ejpam-5851	765	208	m.z.b	m.z.b	PROPN
ejpam-5851	765	209	.	.	PROPN
ejpam-5851	765	210	,	,	PUNCT
ejpam-5851	765	211	n.a	n.a	PROPN
ejpam-5851	765	212	.	.	PROPN
ejpam-5851	765	213	,	,	PUNCT
ejpam-5851	765	214	m.j	m.j	PROPN
ejpam-5851	765	215	.	.	PROPN
ejpam-5851	765	216	,	,	PUNCT
ejpam-5851	765	217	s.m	s.m	PROPN
ejpam-5851	765	218	.	.	PROPN
ejpam-5851	765	219	,	,	PUNCT
ejpam-5851	765	220	j.e.m.-d	j.e.m.-d	PROPN
ejpam-5851	765	221	.	.	PROPN
ejpam-5851	765	222	and	and	CCONJ
ejpam-5851	765	223	a.g	a.g	PROPN
ejpam-5851	765	224	.	.	PROPN
ejpam-5851	765	225	all	all	DET
ejpam-5851	765	226	authors	author	NOUN
ejpam-5851	765	227	approved	approve	VERB
ejpam-5851	765	228	the	the	DET
ejpam-5851	765	229	submitted	submit	VERB
ejpam-5851	765	230	version	version	NOUN
ejpam-5851	765	231	of	of	ADP
ejpam-5851	765	232	this	this	DET
ejpam-5851	765	233	manuscript	manuscript	NOUN
ejpam-5851	765	234	.	.	PUNCT
ejpam-5851	766	1	conflict	conflict	NOUN
ejpam-5851	766	2	of	of	ADP
ejpam-5851	766	3	interest	interest	NOUN
ejpam-5851	766	4	declaration	declaration	NOUN
ejpam-5851	766	5	the	the	DET
ejpam-5851	766	6	authors	author	NOUN
ejpam-5851	766	7	declare	declare	VERB
ejpam-5851	766	8	no	no	DET
ejpam-5851	766	9	potential	potential	ADJ
ejpam-5851	766	10	conflict	conflict	NOUN
ejpam-5851	766	11	of	of	ADP
ejpam-5851	766	12	interest	interest	NOUN
ejpam-5851	766	13	.	.	PUNCT
ejpam-5851	767	1	data	datum	NOUN
ejpam-5851	767	2	availability	availability	NOUN
ejpam-5851	767	3	statement	statement	NOUN
ejpam-5851	767	4	data	datum	NOUN
ejpam-5851	767	5	sharing	share	VERB
ejpam-5851	767	6	not	not	PART
ejpam-5851	767	7	applicable	applicable	ADJ
ejpam-5851	767	8	—	—	PUNCT
ejpam-5851	767	9	no	no	DET
ejpam-5851	767	10	new	new	ADJ
ejpam-5851	767	11	data	datum	NOUN
ejpam-5851	767	12	generated	generate	VERB
ejpam-5851	767	13	.	.	PUNCT
ejpam-5851	768	1	references	reference	NOUN
ejpam-5851	768	2	[	[	X
ejpam-5851	768	3	1	1	X
ejpam-5851	768	4	]	]	PUNCT
ejpam-5851	768	5	d.	d.	PROPN
ejpam-5851	768	6	baldwin	baldwin	PROPN
ejpam-5851	768	7	and	and	CCONJ
ejpam-5851	768	8	w.	w.	PROPN
ejpam-5851	768	9	hereman	hereman	PROPN
ejpam-5851	768	10	.	.	PUNCT
ejpam-5851	769	1	symbolic	symbolic	ADJ
ejpam-5851	769	2	software	software	NOUN
ejpam-5851	769	3	for	for	ADP
ejpam-5851	769	4	the	the	DET
ejpam-5851	769	5	painlevé	painlevé	NOUN
ejpam-5851	769	6	test	test	NOUN
ejpam-5851	769	7	of	of	ADP
ejpam-5851	769	8	nonlinear	nonlinear	ADJ
ejpam-5851	769	9	ordinary	ordinary	ADJ
ejpam-5851	769	10	and	and	CCONJ
ejpam-5851	769	11	partial	partial	ADJ
ejpam-5851	769	12	differential	differential	ADJ
ejpam-5851	769	13	equations	equation	NOUN
ejpam-5851	769	14	.	.	PUNCT
ejpam-5851	770	1	journal	journal	PROPN
ejpam-5851	770	2	of	of	ADP
ejpam-5851	770	3	nonlinear	nonlinear	PROPN
ejpam-5851	770	4	mathematical	mathematical	ADJ
ejpam-5851	770	5	physics	physics	NOUN
ejpam-5851	770	6	,	,	PUNCT
ejpam-5851	770	7	13(1):90	13(1):90	NUM
ejpam-5851	770	8	–	–	PUNCT
ejpam-5851	770	9	110	110	NUM
ejpam-5851	770	10	,	,	PUNCT
ejpam-5851	770	11	2006	2006	NUM
ejpam-5851	770	12	.	.	PUNCT
ejpam-5851	771	1	[	[	X
ejpam-5851	771	2	2	2	NUM
ejpam-5851	771	3	]	]	PUNCT
ejpam-5851	771	4	a.	a.	NOUN
ejpam-5851	771	5	s.	s.	PROPN
ejpam-5851	771	6	fokas	fokas	PROPN
ejpam-5851	771	7	.	.	PUNCT
ejpam-5851	772	1	symmetries	symmetry	NOUN
ejpam-5851	772	2	and	and	CCONJ
ejpam-5851	772	3	integrability	integrability	NOUN
ejpam-5851	772	4	.	.	PUNCT
ejpam-5851	773	1	studies	study	NOUN
ejpam-5851	773	2	in	in	ADP
ejpam-5851	773	3	applied	applied	ADJ
ejpam-5851	773	4	mathematics	mathematic	NOUN
ejpam-5851	773	5	,	,	PUNCT
ejpam-5851	773	6	77(3):253–299	77(3):253–299	NOUN
ejpam-5851	773	7	,	,	PUNCT
ejpam-5851	773	8	1987	1987	NUM
ejpam-5851	773	9	.	.	PUNCT
ejpam-5851	774	1	[	[	X
ejpam-5851	774	2	3	3	NUM
ejpam-5851	774	3	]	]	PUNCT
ejpam-5851	774	4	a.	a.	NOUN
ejpam-5851	774	5	m.	m.	NOUN
ejpam-5851	774	6	wazwaz	wazwaz	PROPN
ejpam-5851	774	7	.	.	PUNCT
ejpam-5851	775	1	a	a	DET
ejpam-5851	775	2	new	new	ADJ
ejpam-5851	775	3	fifth	fifth	ADJ
ejpam-5851	775	4	-	-	PUNCT
ejpam-5851	775	5	order	order	NOUN
ejpam-5851	775	6	nonlinear	nonlinear	ADJ
ejpam-5851	775	7	integrable	integrable	ADJ
ejpam-5851	775	8	equation	equation	NOUN
ejpam-5851	775	9	:	:	PUNCT
ejpam-5851	775	10	multiple	multiple	ADJ
ejpam-5851	775	11	soliton	soliton	NOUN
ejpam-5851	775	12	solutions	solution	NOUN
ejpam-5851	775	13	.	.	PUNCT
ejpam-5851	776	1	physica	physica	PROPN
ejpam-5851	776	2	scripta	scripta	PROPN
ejpam-5851	776	3	,	,	PUNCT
ejpam-5851	776	4	83(1):015012	83(1):015012	NUM
ejpam-5851	776	5	,	,	PUNCT
ejpam-5851	776	6	2011	2011	NUM
ejpam-5851	776	7	.	.	PUNCT
ejpam-5851	777	1	[	[	X
ejpam-5851	777	2	4	4	X
ejpam-5851	777	3	]	]	PUNCT
ejpam-5851	777	4	j.	j.	PROPN
ejpam-5851	777	5	a.	a.	PROPN
ejpam-5851	777	6	sanders	sanders	PROPN
ejpam-5851	777	7	and	and	CCONJ
ejpam-5851	777	8	j.	j.	PROPN
ejpam-5851	777	9	p.	p.	PROPN
ejpam-5851	777	10	wang	wang	PROPN
ejpam-5851	777	11	.	.	PUNCT
ejpam-5851	778	1	integrable	integrable	ADJ
ejpam-5851	778	2	systems	system	NOUN
ejpam-5851	778	3	and	and	CCONJ
ejpam-5851	778	4	their	their	PRON
ejpam-5851	778	5	recursion	recursion	NOUN
ejpam-5851	778	6	operators	operator	NOUN
ejpam-5851	778	7	.	.	PUNCT
ejpam-5851	779	1	nonlinear	nonlinear	ADJ
ejpam-5851	779	2	analysis	analysis	NOUN
ejpam-5851	779	3	:	:	PUNCT
ejpam-5851	779	4	theory	theory	NOUN
ejpam-5851	779	5	,	,	PUNCT
ejpam-5851	779	6	methods	method	NOUN
ejpam-5851	779	7	and	and	CCONJ
ejpam-5851	779	8	applications	application	NOUN
ejpam-5851	779	9	,	,	PUNCT
ejpam-5851	779	10	47(8):5213–5240	47(8):5213–5240	NUM
ejpam-5851	779	11	,	,	PUNCT
ejpam-5851	779	12	2001	2001	NUM
ejpam-5851	779	13	.	.	PUNCT
ejpam-5851	780	1	b.	b.	PROPN
ejpam-5851	780	2	ceesay	ceesay	PROPN
ejpam-5851	780	3	et	et	PROPN
ejpam-5851	780	4	al	al	PROPN
ejpam-5851	780	5	.	.	PUNCT
ejpam-5851	780	6	/	/	SYM
ejpam-5851	780	7	eur	eur	PROPN
ejpam-5851	780	8	.	.	PUNCT
ejpam-5851	781	1	j.	j.	PROPN
ejpam-5851	781	2	pure	pure	PROPN
ejpam-5851	781	3	appl	appl	PROPN
ejpam-5851	781	4	.	.	PROPN
ejpam-5851	781	5	math	math	PROPN
ejpam-5851	781	6	,	,	PUNCT
ejpam-5851	781	7	18	18	NUM
ejpam-5851	781	8	(	(	PUNCT
ejpam-5851	781	9	2	2	NUM
ejpam-5851	781	10	)	)	PUNCT
ejpam-5851	781	11	(	(	PUNCT
ejpam-5851	781	12	2025	2025	NUM
ejpam-5851	781	13	)	)	PUNCT
ejpam-5851	781	14	,	,	PUNCT
ejpam-5851	781	15	5851	5851	NUM
ejpam-5851	781	16	30	30	NUM
ejpam-5851	781	17	of	of	ADP
ejpam-5851	781	18	32	32	NUM
ejpam-5851	782	1	[	[	SYM
ejpam-5851	782	2	5	5	NUM
ejpam-5851	782	3	]	]	PUNCT
ejpam-5851	782	4	f.	f.	PROPN
ejpam-5851	782	5	verheest	verheest	PROPN
ejpam-5851	782	6	,	,	PUNCT
ejpam-5851	782	7	c.	c.	PROPN
ejpam-5851	782	8	p.	p.	PROPN
ejpam-5851	782	9	olivier	olivier	NOUN
ejpam-5851	782	10	,	,	PUNCT
ejpam-5851	782	11	and	and	CCONJ
ejpam-5851	782	12	w.	w.	PROPN
ejpam-5851	782	13	a.	a.	PROPN
ejpam-5851	782	14	hereman	hereman	PROPN
ejpam-5851	782	15	.	.	PUNCT
ejpam-5851	783	1	modified	modify	VERB
ejpam-5851	783	2	korteweg	korteweg	PROPN
ejpam-5851	783	3	–	–	PUNCT
ejpam-5851	783	4	de	de	X
ejpam-5851	783	5	vries	vries	NOUN
ejpam-5851	783	6	solitons	soliton	NOUN
ejpam-5851	783	7	at	at	ADP
ejpam-5851	783	8	supercritical	supercritical	ADJ
ejpam-5851	783	9	density	density	NOUN
ejpam-5851	783	10	in	in	ADP
ejpam-5851	783	11	two	two	NUM
ejpam-5851	783	12	-	-	PUNCT
ejpam-5851	783	13	electron	electron	NOUN
ejpam-5851	783	14	temperature	temperature	NOUN
ejpam-5851	783	15	plasmas	plasma	NOUN
ejpam-5851	783	16	.	.	PUNCT
ejpam-5851	784	1	journal	journal	PROPN
ejpam-5851	784	2	of	of	ADP
ejpam-5851	784	3	plasma	plasma	NOUN
ejpam-5851	784	4	physics	physics	NOUN
ejpam-5851	784	5	,	,	PUNCT
ejpam-5851	784	6	82(2):905820208	82(2):905820208	NUM
ejpam-5851	784	7	,	,	PUNCT
ejpam-5851	784	8	2016	2016	NUM
ejpam-5851	784	9	.	.	PUNCT
ejpam-5851	785	1	[	[	X
ejpam-5851	785	2	6	6	NUM
ejpam-5851	785	3	]	]	PUNCT
ejpam-5851	785	4	m.	m.	NOUN
ejpam-5851	785	5	s.	s.	PROPN
ejpam-5851	785	6	osman	osman	PROPN
ejpam-5851	785	7	and	and	CCONJ
ejpam-5851	785	8	j.	j.	PROPN
ejpam-5851	785	9	a.	a.	PROPN
ejpam-5851	785	10	t.	t.	PROPN
ejpam-5851	785	11	machado	machado	PROPN
ejpam-5851	785	12	.	.	PUNCT
ejpam-5851	786	1	new	new	ADJ
ejpam-5851	786	2	nonautonomous	nonautonomous	ADJ
ejpam-5851	786	3	combined	combine	VERB
ejpam-5851	786	4	multi	multi	ADJ
ejpam-5851	786	5	-	-	ADJ
ejpam-5851	786	6	wave	wave	ADJ
ejpam-5851	786	7	solutions	solution	NOUN
ejpam-5851	786	8	for	for	ADP
ejpam-5851	786	9	(	(	PUNCT
ejpam-5851	786	10	2	2	NUM
ejpam-5851	786	11	+	+	NOUN
ejpam-5851	786	12	1)-dimensional	1)-dimensional	ADJ
ejpam-5851	786	13	variable	variable	ADJ
ejpam-5851	786	14	coefficients	coefficient	NOUN
ejpam-5851	786	15	kdv	kdv	VERB
ejpam-5851	786	16	equation	equation	NOUN
ejpam-5851	786	17	.	.	PUNCT
ejpam-5851	787	1	nonlinear	nonlinear	ADJ
ejpam-5851	787	2	dynamics	dynamic	NOUN
ejpam-5851	787	3	,	,	PUNCT
ejpam-5851	787	4	93(2):733	93(2):733	NUM
ejpam-5851	787	5	–	–	PUNCT
ejpam-5851	787	6	740	740	NUM
ejpam-5851	787	7	,	,	PUNCT
ejpam-5851	787	8	2018	2018	NUM
ejpam-5851	787	9	.	.	PUNCT
ejpam-5851	788	1	[	[	X
ejpam-5851	788	2	7	7	X
ejpam-5851	788	3	]	]	X
ejpam-5851	788	4	c.	c.	PROPN
ejpam-5851	788	5	m.	m.	PROPN
ejpam-5851	788	6	khalique	khalique	PROPN
ejpam-5851	788	7	.	.	PUNCT
ejpam-5851	789	1	solutions	solution	NOUN
ejpam-5851	789	2	and	and	CCONJ
ejpam-5851	789	3	conservation	conservation	NOUN
ejpam-5851	789	4	laws	law	NOUN
ejpam-5851	789	5	of	of	ADP
ejpam-5851	789	6	benjamin	benjamin	PROPN
ejpam-5851	789	7	–	–	PUNCT
ejpam-5851	789	8	bona	bona	ADJ
ejpam-5851	789	9	–	–	PUNCT
ejpam-5851	789	10	mahony	mahony	X
ejpam-5851	789	11	–	–	PUNCT
ejpam-5851	789	12	peregrine	peregrine	NOUN
ejpam-5851	789	13	equation	equation	NOUN
ejpam-5851	789	14	with	with	ADP
ejpam-5851	789	15	power	power	NOUN
ejpam-5851	789	16	-	-	PUNCT
ejpam-5851	789	17	law	law	NOUN
ejpam-5851	789	18	and	and	CCONJ
ejpam-5851	789	19	dual	dual	ADJ
ejpam-5851	789	20	power	power	NOUN
ejpam-5851	789	21	-	-	PUNCT
ejpam-5851	789	22	law	law	NOUN
ejpam-5851	789	23	nonlinearities	nonlinearitie	NOUN
ejpam-5851	789	24	.	.	PUNCT
ejpam-5851	790	1	pramana	pramana	PROPN
ejpam-5851	790	2	,	,	PUNCT
ejpam-5851	790	3	80(3):413–427	80(3):413–427	NUM
ejpam-5851	790	4	,	,	PUNCT
ejpam-5851	790	5	2013	2013	NUM
ejpam-5851	790	6	.	.	PUNCT
ejpam-5851	791	1	[	[	X
ejpam-5851	791	2	8	8	NUM
ejpam-5851	791	3	]	]	PUNCT
ejpam-5851	791	4	a.	a.	NOUN
ejpam-5851	791	5	m.	m.	NOUN
ejpam-5851	791	6	wazwaz	wazwaz	PROPN
ejpam-5851	791	7	.	.	PUNCT
ejpam-5851	792	1	partial	partial	ADJ
ejpam-5851	792	2	differential	differential	ADJ
ejpam-5851	792	3	equations	equation	NOUN
ejpam-5851	792	4	and	and	CCONJ
ejpam-5851	792	5	solitary	solitary	ADJ
ejpam-5851	792	6	waves	wave	NOUN
ejpam-5851	792	7	theory	theory	NOUN
ejpam-5851	792	8	.	.	PUNCT
ejpam-5851	793	1	springer	springer	NOUN
ejpam-5851	793	2	science	science	PROPN
ejpam-5851	793	3	and	and	CCONJ
ejpam-5851	793	4	business	business	NOUN
ejpam-5851	793	5	media	medium	NOUN
ejpam-5851	793	6	,	,	PUNCT
ejpam-5851	793	7	berlin	berlin	PROPN
ejpam-5851	793	8	,	,	PUNCT
ejpam-5851	793	9	2010	2010	NUM
ejpam-5851	793	10	.	.	PUNCT
ejpam-5851	794	1	[	[	X
ejpam-5851	794	2	9	9	NUM
ejpam-5851	794	3	]	]	X
ejpam-5851	794	4	r.	r.	PROPN
ejpam-5851	794	5	hirota	hirota	PROPN
ejpam-5851	794	6	.	.	PUNCT
ejpam-5851	795	1	a	a	DET
ejpam-5851	795	2	new	new	ADJ
ejpam-5851	795	3	form	form	NOUN
ejpam-5851	795	4	of	of	ADP
ejpam-5851	795	5	bäcklund	bäcklund	NOUN
ejpam-5851	795	6	transformations	transformation	NOUN
ejpam-5851	795	7	and	and	CCONJ
ejpam-5851	795	8	its	its	PRON
ejpam-5851	795	9	relation	relation	NOUN
ejpam-5851	795	10	to	to	ADP
ejpam-5851	795	11	the	the	DET
ejpam-5851	795	12	inverse	inverse	NOUN
ejpam-5851	795	13	scattering	scattering	NOUN
ejpam-5851	795	14	problem	problem	NOUN
ejpam-5851	795	15	.	.	PUNCT
ejpam-5851	796	1	progress	progress	NOUN
ejpam-5851	796	2	of	of	ADP
ejpam-5851	796	3	theoretical	theoretical	ADJ
ejpam-5851	796	4	physics	physics	NOUN
ejpam-5851	796	5	,	,	PUNCT
ejpam-5851	796	6	52(5):1498–1512	52(5):1498–1512	NUM
ejpam-5851	796	7	,	,	PUNCT
ejpam-5851	796	8	1974	1974	NUM
ejpam-5851	796	9	.	.	PUNCT
ejpam-5851	797	1	[	[	X
ejpam-5851	797	2	10	10	NUM
ejpam-5851	797	3	]	]	X
ejpam-5851	797	4	d.	d.	PROPN
ejpam-5851	797	5	e.	e.	PROPN
ejpam-5851	797	6	baldwin	baldwin	PROPN
ejpam-5851	797	7	and	and	CCONJ
ejpam-5851	797	8	w.	w.	PROPN
ejpam-5851	797	9	a.	a.	PROPN
ejpam-5851	797	10	hereman	hereman	PROPN
ejpam-5851	797	11	.	.	PUNCT
ejpam-5851	798	1	a	a	DET
ejpam-5851	798	2	symbolic	symbolic	ADJ
ejpam-5851	798	3	algorithm	algorithm	NOUN
ejpam-5851	798	4	for	for	ADP
ejpam-5851	798	5	computing	compute	VERB
ejpam-5851	798	6	recursion	recursion	NOUN
ejpam-5851	798	7	operators	operator	NOUN
ejpam-5851	798	8	of	of	ADP
ejpam-5851	798	9	nonlinear	nonlinear	ADJ
ejpam-5851	798	10	partial	partial	ADJ
ejpam-5851	798	11	differential	differential	NOUN
ejpam-5851	798	12	equations	equation	NOUN
ejpam-5851	798	13	.	.	PUNCT
ejpam-5851	799	1	international	international	ADJ
ejpam-5851	799	2	journal	journal	PROPN
ejpam-5851	799	3	of	of	ADP
ejpam-5851	799	4	computer	computer	NOUN
ejpam-5851	799	5	mathematics	mathematic	NOUN
ejpam-5851	799	6	,	,	PUNCT
ejpam-5851	799	7	87(5):1094–1119	87(5):1094–1119	NUM
ejpam-5851	799	8	,	,	PUNCT
ejpam-5851	799	9	2010	2010	NUM
ejpam-5851	799	10	.	.	PUNCT
ejpam-5851	800	1	[	[	X
ejpam-5851	800	2	11	11	NUM
ejpam-5851	800	3	]	]	X
ejpam-5851	800	4	h.	h.	PROPN
ejpam-5851	800	5	leblond	leblond	PROPN
ejpam-5851	800	6	and	and	CCONJ
ejpam-5851	800	7	d.	d.	PROPN
ejpam-5851	800	8	mihalache	mihalache	PROPN
ejpam-5851	800	9	.	.	PUNCT
ejpam-5851	801	1	models	model	NOUN
ejpam-5851	801	2	of	of	ADP
ejpam-5851	801	3	few	few	ADJ
ejpam-5851	801	4	optical	optical	ADJ
ejpam-5851	801	5	cycle	cycle	NOUN
ejpam-5851	801	6	solitons	soliton	NOUN
ejpam-5851	801	7	beyond	beyond	ADP
ejpam-5851	801	8	the	the	DET
ejpam-5851	801	9	slowly	slowly	ADV
ejpam-5851	801	10	varying	vary	VERB
ejpam-5851	801	11	envelope	envelope	NOUN
ejpam-5851	801	12	approximation	approximation	NOUN
ejpam-5851	801	13	.	.	PUNCT
ejpam-5851	802	1	physics	physics	NOUN
ejpam-5851	802	2	reports	report	NOUN
ejpam-5851	802	3	,	,	PUNCT
ejpam-5851	802	4	523(2):61–126	523(2):61–126	NOUN
ejpam-5851	802	5	,	,	PUNCT
ejpam-5851	802	6	2013	2013	NUM
ejpam-5851	802	7	.	.	PUNCT
ejpam-5851	803	1	[	[	X
ejpam-5851	803	2	12	12	NUM
ejpam-5851	803	3	]	]	X
ejpam-5851	803	4	h.	h.	PROPN
ejpam-5851	803	5	leblond	leblond	PROPN
ejpam-5851	803	6	and	and	CCONJ
ejpam-5851	803	7	d.	d.	PROPN
ejpam-5851	803	8	mihalache	mihalache	PROPN
ejpam-5851	803	9	.	.	PUNCT
ejpam-5851	804	1	few	few	ADJ
ejpam-5851	804	2	-	-	PUNCT
ejpam-5851	804	3	optical	optical	ADJ
ejpam-5851	804	4	-	-	PUNCT
ejpam-5851	804	5	cycle	cycle	NOUN
ejpam-5851	804	6	solitons	soliton	NOUN
ejpam-5851	804	7	:	:	PUNCT
ejpam-5851	804	8	modified	modify	VERB
ejpam-5851	804	9	korteweg	korteweg	NOUN
ejpam-5851	804	10	–	–	PUNCT
ejpam-5851	804	11	de	de	X
ejpam-5851	804	12	vries	vries	PROPN
ejpam-5851	804	13	sinegordon	sinegordon	ADJ
ejpam-5851	804	14	equation	equation	NOUN
ejpam-5851	804	15	versus	versus	ADP
ejpam-5851	804	16	other	other	ADJ
ejpam-5851	804	17	non	non	ADJ
ejpam-5851	804	18	–	–	PUNCT
ejpam-5851	804	19	slowly	slowly	ADV
ejpam-5851	804	20	-	-	PUNCT
ejpam-5851	804	21	varying	vary	VERB
ejpam-5851	804	22	-	-	PUNCT
ejpam-5851	804	23	envelope	envelope	NOUN
ejpam-5851	804	24	-	-	PUNCT
ejpam-5851	804	25	approximation	approximation	NOUN
ejpam-5851	804	26	models	model	NOUN
ejpam-5851	804	27	.	.	PUNCT
ejpam-5851	805	1	physical	physical	ADJ
ejpam-5851	805	2	review	review	PROPN
ejpam-5851	805	3	a	a	DET
ejpam-5851	805	4	,	,	PUNCT
ejpam-5851	805	5	79(6):063835	79(6):063835	NUM
ejpam-5851	805	6	,	,	PUNCT
ejpam-5851	805	7	2009	2009	NUM
ejpam-5851	805	8	.	.	PUNCT
ejpam-5851	806	1	[	[	X
ejpam-5851	806	2	13	13	NUM
ejpam-5851	806	3	]	]	PUNCT
ejpam-5851	806	4	w.	w.	PROPN
ejpam-5851	806	5	a.	a.	PROPN
ejpam-5851	806	6	hereman	hereman	PROPN
ejpam-5851	806	7	.	.	PUNCT
ejpam-5851	807	1	symbolic	symbolic	ADJ
ejpam-5851	807	2	computation	computation	NOUN
ejpam-5851	807	3	of	of	ADP
ejpam-5851	807	4	conservation	conservation	NOUN
ejpam-5851	807	5	laws	law	NOUN
ejpam-5851	807	6	of	of	ADP
ejpam-5851	807	7	nonlinear	nonlinear	ADJ
ejpam-5851	807	8	partial	partial	ADJ
ejpam-5851	807	9	differential	differential	ADJ
ejpam-5851	807	10	equations	equation	NOUN
ejpam-5851	807	11	in	in	ADP
ejpam-5851	807	12	multi	multi	NOUN
ejpam-5851	807	13	-	-	NOUN
ejpam-5851	807	14	dimensions	dimension	NOUN
ejpam-5851	807	15	.	.	PUNCT
ejpam-5851	808	1	international	international	ADJ
ejpam-5851	808	2	journal	journal	NOUN
ejpam-5851	808	3	of	of	ADP
ejpam-5851	808	4	quantum	quantum	ADJ
ejpam-5851	808	5	chemistry	chemistry	NOUN
ejpam-5851	808	6	,	,	PUNCT
ejpam-5851	808	7	106(1):278	106(1):278	NUM
ejpam-5851	808	8	–	–	PUNCT
ejpam-5851	808	9	299	299	NUM
ejpam-5851	808	10	,	,	PUNCT
ejpam-5851	808	11	2006	2006	NUM
ejpam-5851	808	12	.	.	PUNCT
ejpam-5851	809	1	[	[	X
ejpam-5851	809	2	14	14	NUM
ejpam-5851	809	3	]	]	PUNCT
ejpam-5851	809	4	a.	a.	NOUN
ejpam-5851	809	5	m.	m.	NOUN
ejpam-5851	809	6	wazwaz	wazwaz	PROPN
ejpam-5851	809	7	.	.	PUNCT
ejpam-5851	810	1	a	a	DET
ejpam-5851	810	2	new	new	ADJ
ejpam-5851	810	3	generalized	generalized	ADJ
ejpam-5851	810	4	fifth	fifth	ADJ
ejpam-5851	810	5	-	-	PUNCT
ejpam-5851	810	6	order	order	NOUN
ejpam-5851	810	7	nonlinear	nonlinear	ADJ
ejpam-5851	810	8	integrable	integrable	ADJ
ejpam-5851	810	9	equation	equation	NOUN
ejpam-5851	810	10	.	.	PUNCT
ejpam-5851	811	1	physica	physica	PROPN
ejpam-5851	811	2	scripta	scripta	PROPN
ejpam-5851	811	3	,	,	PUNCT
ejpam-5851	811	4	83(3):035003	83(3):035003	NUM
ejpam-5851	811	5	,	,	PUNCT
ejpam-5851	811	6	2011	2011	NUM
ejpam-5851	811	7	.	.	PUNCT
ejpam-5851	812	1	[	[	X
ejpam-5851	812	2	15	15	NUM
ejpam-5851	812	3	]	]	PUNCT
ejpam-5851	812	4	m.	m.	NOUN
ejpam-5851	812	5	s.	s.	PROPN
ejpam-5851	812	6	osman	osman	PROPN
ejpam-5851	812	7	and	and	CCONJ
ejpam-5851	812	8	j.	j.	PROPN
ejpam-5851	812	9	a.	a.	PROPN
ejpam-5851	812	10	t.	t.	PROPN
ejpam-5851	812	11	machado	machado	PROPN
ejpam-5851	812	12	.	.	PUNCT
ejpam-5851	813	1	the	the	DET
ejpam-5851	813	2	dynamical	dynamical	ADJ
ejpam-5851	813	3	behavior	behavior	NOUN
ejpam-5851	813	4	of	of	ADP
ejpam-5851	813	5	mixed	mixed	ADJ
ejpam-5851	813	6	-	-	PUNCT
ejpam-5851	813	7	type	type	NOUN
ejpam-5851	813	8	soliton	soliton	NOUN
ejpam-5851	813	9	solutions	solution	NOUN
ejpam-5851	813	10	described	describe	VERB
ejpam-5851	813	11	by	by	ADP
ejpam-5851	813	12	(	(	PUNCT
ejpam-5851	813	13	2	2	NUM
ejpam-5851	813	14	+	+	NOUN
ejpam-5851	813	15	1)-dimensional	1)-dimensional	ADJ
ejpam-5851	813	16	bogoyavlensky	bogoyavlensky	NOUN
ejpam-5851	813	17	–	–	PUNCT
ejpam-5851	813	18	konopelchenko	konopelchenko	NOUN
ejpam-5851	813	19	equation	equation	NOUN
ejpam-5851	813	20	with	with	ADP
ejpam-5851	813	21	variable	variable	ADJ
ejpam-5851	813	22	coefficients	coefficient	NOUN
ejpam-5851	813	23	.	.	PUNCT
ejpam-5851	814	1	journal	journal	NOUN
ejpam-5851	814	2	of	of	ADP
ejpam-5851	814	3	electromagnetic	electromagnetic	ADJ
ejpam-5851	814	4	waves	wave	NOUN
ejpam-5851	814	5	and	and	CCONJ
ejpam-5851	814	6	applications	application	NOUN
ejpam-5851	814	7	,	,	PUNCT
ejpam-5851	814	8	32(11):1457–1464	32(11):1457–1464	NUM
ejpam-5851	814	9	,	,	PUNCT
ejpam-5851	814	10	2018	2018	NUM
ejpam-5851	814	11	.	.	PUNCT
ejpam-5851	815	1	[	[	X
ejpam-5851	815	2	16	16	NUM
ejpam-5851	815	3	]	]	X
ejpam-5851	815	4	i.	i.	PROPN
ejpam-5851	815	5	s.	s.	PROPN
ejpam-5851	815	6	krasil’shchik	krasil’shchik	PROPN
ejpam-5851	815	7	and	and	CCONJ
ejpam-5851	815	8	p.	p.	PROPN
ejpam-5851	815	9	h.	h.	PROPN
ejpam-5851	815	10	kersten	kersten	PROPN
ejpam-5851	815	11	.	.	PUNCT
ejpam-5851	816	1	symmetries	symmetry	NOUN
ejpam-5851	816	2	and	and	CCONJ
ejpam-5851	816	3	recursion	recursion	NOUN
ejpam-5851	816	4	operators	operator	NOUN
ejpam-5851	816	5	for	for	ADP
ejpam-5851	816	6	classical	classical	ADJ
ejpam-5851	816	7	and	and	CCONJ
ejpam-5851	816	8	supersymmetric	supersymmetric	ADJ
ejpam-5851	816	9	differential	differential	NOUN
ejpam-5851	816	10	equations	equation	NOUN
ejpam-5851	816	11	,	,	PUNCT
ejpam-5851	816	12	volume	volume	NOUN
ejpam-5851	816	13	507	507	NUM
ejpam-5851	816	14	of	of	ADP
ejpam-5851	816	15	mathematics	mathematic	NOUN
ejpam-5851	816	16	and	and	CCONJ
ejpam-5851	816	17	its	its	PRON
ejpam-5851	816	18	applications	application	NOUN
ejpam-5851	816	19	.	.	PUNCT
ejpam-5851	817	1	springer	springer	NOUN
ejpam-5851	817	2	science	science	PROPN
ejpam-5851	817	3	and	and	CCONJ
ejpam-5851	817	4	business	business	NOUN
ejpam-5851	817	5	media	medium	NOUN
ejpam-5851	817	6	,	,	PUNCT
ejpam-5851	817	7	dordrecht	dordrecht	PROPN
ejpam-5851	817	8	,	,	PUNCT
ejpam-5851	817	9	2013	2013	NUM
ejpam-5851	817	10	.	.	PUNCT
ejpam-5851	818	1	[	[	X
ejpam-5851	818	2	17	17	NUM
ejpam-5851	818	3	]	]	X
ejpam-5851	818	4	h.	h.	PROPN
ejpam-5851	818	5	liu	liu	PROPN
ejpam-5851	818	6	.	.	PUNCT
ejpam-5851	818	7	generalized	generalized	ADJ
ejpam-5851	818	8	symmetry	symmetry	NOUN
ejpam-5851	818	9	classifications	classification	NOUN
ejpam-5851	818	10	,	,	PUNCT
ejpam-5851	818	11	integrable	integrable	ADJ
ejpam-5851	818	12	properties	property	NOUN
ejpam-5851	818	13	and	and	CCONJ
ejpam-5851	818	14	exact	exact	ADJ
ejpam-5851	818	15	solutions	solution	NOUN
ejpam-5851	818	16	to	to	ADP
ejpam-5851	818	17	the	the	DET
ejpam-5851	818	18	general	general	ADJ
ejpam-5851	818	19	nonlinear	nonlinear	PROPN
ejpam-5851	818	20	diffusion	diffusion	NOUN
ejpam-5851	818	21	equations	equation	NOUN
ejpam-5851	818	22	.	.	PUNCT
ejpam-5851	819	1	communications	communication	NOUN
ejpam-5851	819	2	in	in	ADP
ejpam-5851	819	3	nonlinear	nonlinear	ADJ
ejpam-5851	819	4	science	science	NOUN
ejpam-5851	819	5	and	and	CCONJ
ejpam-5851	819	6	numerical	numerical	PROPN
ejpam-5851	819	7	simulation	simulation	PROPN
ejpam-5851	819	8	,	,	PUNCT
ejpam-5851	819	9	36:21–28	36:21–28	NUM
ejpam-5851	819	10	,	,	PUNCT
ejpam-5851	819	11	2016	2016	NUM
ejpam-5851	819	12	.	.	PUNCT
ejpam-5851	820	1	[	[	X
ejpam-5851	820	2	18	18	NUM
ejpam-5851	820	3	]	]	PUNCT
ejpam-5851	820	4	t.	t.	PROPN
ejpam-5851	820	5	motsepa	motsepa	PROPN
ejpam-5851	820	6	.	.	PUNCT
ejpam-5851	821	1	symmetry	symmetry	NOUN
ejpam-5851	821	2	analysis	analysis	NOUN
ejpam-5851	821	3	,	,	PUNCT
ejpam-5851	821	4	conservation	conservation	NOUN
ejpam-5851	821	5	laws	law	NOUN
ejpam-5851	821	6	and	and	CCONJ
ejpam-5851	821	7	exact	exact	ADJ
ejpam-5851	821	8	solutions	solution	NOUN
ejpam-5851	821	9	of	of	ADP
ejpam-5851	821	10	certain	certain	ADJ
ejpam-5851	821	11	nonlinear	nonlinear	ADJ
ejpam-5851	821	12	partial	partial	ADJ
ejpam-5851	821	13	differential	differential	NOUN
ejpam-5851	821	14	equations	equation	NOUN
ejpam-5851	821	15	.	.	PUNCT
ejpam-5851	822	1	phd	phd	NOUN
ejpam-5851	822	2	thesis	thesis	NOUN
ejpam-5851	822	3	,	,	PUNCT
ejpam-5851	822	4	north	north	NOUN
ejpam-5851	822	5	-	-	PUNCT
ejpam-5851	822	6	west	west	PROPN
ejpam-5851	822	7	university	university	PROPN
ejpam-5851	822	8	(	(	PUNCT
ejpam-5851	822	9	south	south	PROPN
ejpam-5851	822	10	africa	africa	PROPN
ejpam-5851	822	11	)	)	PUNCT
ejpam-5851	822	12	,	,	PUNCT
ejpam-5851	822	13	mafikeng	mafikeng	ADJ
ejpam-5851	822	14	campus	campus	NOUN
ejpam-5851	822	15	,	,	PUNCT
ejpam-5851	822	16	2016	2016	NUM
ejpam-5851	822	17	.	.	PUNCT
ejpam-5851	823	1	[	[	X
ejpam-5851	823	2	19	19	NUM
ejpam-5851	823	3	]	]	PUNCT
ejpam-5851	823	4	p.	p.	NOUN
ejpam-5851	823	5	a.	a.	NOUN
ejpam-5851	823	6	clarkson	clarkson	PROPN
ejpam-5851	823	7	and	and	CCONJ
ejpam-5851	823	8	c.	c.	PROPN
ejpam-5851	823	9	m.	m.	PROPN
ejpam-5851	823	10	cosgrove	cosgrove	PROPN
ejpam-5851	823	11	.	.	PUNCT
ejpam-5851	824	1	painlevé	painlevé	VERB
ejpam-5851	824	2	analysis	analysis	NOUN
ejpam-5851	824	3	of	of	ADP
ejpam-5851	824	4	the	the	DET
ejpam-5851	824	5	non	non	ADJ
ejpam-5851	824	6	-	-	ADJ
ejpam-5851	824	7	linear	linear	ADJ
ejpam-5851	824	8	schrödinger	schrödinger	NOUN
ejpam-5851	824	9	family	family	NOUN
ejpam-5851	824	10	of	of	ADP
ejpam-5851	824	11	equations	equation	NOUN
ejpam-5851	824	12	.	.	PUNCT
ejpam-5851	825	1	journal	journal	PROPN
ejpam-5851	825	2	of	of	ADP
ejpam-5851	825	3	physics	physics	PROPN
ejpam-5851	825	4	a	a	PRON
ejpam-5851	825	5	:	:	PUNCT
ejpam-5851	825	6	mathematical	mathematical	ADJ
ejpam-5851	825	7	and	and	CCONJ
ejpam-5851	825	8	general	general	ADJ
ejpam-5851	825	9	,	,	PUNCT
ejpam-5851	825	10	20(8):2003–2024	20(8):2003–2024	NUM
ejpam-5851	825	11	,	,	PUNCT
ejpam-5851	825	12	1987	1987	NUM
ejpam-5851	825	13	.	.	PUNCT
ejpam-5851	826	1	[	[	X
ejpam-5851	826	2	20	20	NUM
ejpam-5851	826	3	]	]	PUNCT
ejpam-5851	826	4	m.	m.	NOUN
ejpam-5851	826	5	lakshmanan	lakshmanan	PROPN
ejpam-5851	826	6	and	and	CCONJ
ejpam-5851	826	7	r.	r.	PROPN
ejpam-5851	826	8	sahadevan	sahadevan	PROPN
ejpam-5851	826	9	.	.	PUNCT
ejpam-5851	827	1	painlevé	painlevé	VERB
ejpam-5851	827	2	analysis	analysis	NOUN
ejpam-5851	827	3	,	,	PUNCT
ejpam-5851	827	4	lie	lie	NOUN
ejpam-5851	827	5	symmetries	symmetry	NOUN
ejpam-5851	827	6	,	,	PUNCT
ejpam-5851	827	7	and	and	CCONJ
ejpam-5851	827	8	integrability	integrability	NOUN
ejpam-5851	827	9	of	of	ADP
ejpam-5851	827	10	coupled	couple	VERB
ejpam-5851	827	11	nonlinear	nonlinear	ADJ
ejpam-5851	827	12	oscillators	oscillator	NOUN
ejpam-5851	827	13	of	of	ADP
ejpam-5851	827	14	polynomial	polynomial	ADJ
ejpam-5851	827	15	type	type	NOUN
ejpam-5851	827	16	.	.	PUNCT
ejpam-5851	828	1	physics	physics	NOUN
ejpam-5851	828	2	reports	report	NOUN
ejpam-5851	828	3	,	,	PUNCT
ejpam-5851	828	4	224(1	224(1	NUM
ejpam-5851	828	5	-	-	SYM
ejpam-5851	828	6	2):1–93	2):1–93	NUM
ejpam-5851	828	7	,	,	PUNCT
ejpam-5851	828	8	1993	1993	NUM
ejpam-5851	828	9	.	.	PUNCT
ejpam-5851	829	1	[	[	X
ejpam-5851	829	2	21	21	NUM
ejpam-5851	829	3	]	]	PUNCT
ejpam-5851	829	4	s.	s.	PROPN
ejpam-5851	829	5	s.	s.	PROPN
ejpam-5851	829	6	ray	ray	PROPN
ejpam-5851	829	7	.	.	PUNCT
ejpam-5851	830	1	painlevé	painlevé	VERB
ejpam-5851	830	2	analysis	analysis	NOUN
ejpam-5851	830	3	,	,	PUNCT
ejpam-5851	830	4	group	group	NOUN
ejpam-5851	830	5	invariant	invariant	ADJ
ejpam-5851	830	6	analysis	analysis	NOUN
ejpam-5851	830	7	,	,	PUNCT
ejpam-5851	830	8	similarity	similarity	NOUN
ejpam-5851	830	9	reduction	reduction	NOUN
ejpam-5851	830	10	,	,	PUNCT
ejpam-5851	830	11	exact	exact	ADJ
ejpam-5851	830	12	solutions	solution	NOUN
ejpam-5851	830	13	,	,	PUNCT
ejpam-5851	830	14	and	and	CCONJ
ejpam-5851	830	15	conservation	conservation	NOUN
ejpam-5851	830	16	laws	law	NOUN
ejpam-5851	830	17	of	of	ADP
ejpam-5851	830	18	mikhailov	mikhailov	ADJ
ejpam-5851	830	19	–	–	PUNCT
ejpam-5851	830	20	novikov	novikov	NOUN
ejpam-5851	830	21	–	–	PUNCT
ejpam-5851	830	22	wang	wang	PROPN
ejpam-5851	830	23	equation	equation	NOUN
ejpam-5851	830	24	.	.	PUNCT
ejpam-5851	831	1	international	international	ADJ
ejpam-5851	831	2	journal	journal	NOUN
ejpam-5851	831	3	of	of	ADP
ejpam-5851	831	4	geometric	geometric	ADJ
ejpam-5851	831	5	methods	method	NOUN
ejpam-5851	831	6	in	in	ADP
ejpam-5851	831	7	modern	modern	ADJ
ejpam-5851	831	8	physics	physic	NOUN
ejpam-5851	831	9	,	,	PUNCT
ejpam-5851	831	10	18(06):2150094	18(06):2150094	NUM
ejpam-5851	831	11	,	,	PUNCT
ejpam-5851	831	12	2021	2021	NUM
ejpam-5851	831	13	.	.	PUNCT
ejpam-5851	832	1	[	[	X
ejpam-5851	832	2	22	22	NUM
ejpam-5851	832	3	]	]	PUNCT
ejpam-5851	832	4	s.	s.	PROPN
ejpam-5851	832	5	ur	ur	PROPN
ejpam-5851	832	6	-	-	PROPN
ejpam-5851	832	7	rehman	rehman	PROPN
ejpam-5851	832	8	and	and	CCONJ
ejpam-5851	832	9	j.	j.	PROPN
ejpam-5851	832	10	ahmad	ahmad	PROPN
ejpam-5851	832	11	.	.	PUNCT
ejpam-5851	833	1	dynamics	dynamic	NOUN
ejpam-5851	833	2	of	of	ADP
ejpam-5851	833	3	optical	optical	ADJ
ejpam-5851	833	4	and	and	CCONJ
ejpam-5851	833	5	multiple	multiple	ADJ
ejpam-5851	833	6	lump	lump	NOUN
ejpam-5851	833	7	solutions	solution	NOUN
ejpam-5851	833	8	to	to	ADP
ejpam-5851	833	9	the	the	DET
ejpam-5851	833	10	fractional	fractional	ADJ
ejpam-5851	833	11	coupled	couple	VERB
ejpam-5851	833	12	nonlinear	nonlinear	ADJ
ejpam-5851	833	13	schrödinger	schrödinger	NOUN
ejpam-5851	833	14	equation	equation	NOUN
ejpam-5851	833	15	.	.	PUNCT
ejpam-5851	834	1	optical	optical	ADJ
ejpam-5851	834	2	and	and	CCONJ
ejpam-5851	834	3	quantum	quantum	NOUN
ejpam-5851	834	4	electronics	electronic	NOUN
ejpam-5851	834	5	,	,	PUNCT
ejpam-5851	834	6	54(10):640	54(10):640	NUM
ejpam-5851	834	7	,	,	PUNCT
ejpam-5851	834	8	2022	2022	NUM
ejpam-5851	834	9	.	.	PUNCT
ejpam-5851	835	1	[	[	X
ejpam-5851	835	2	23	23	NUM
ejpam-5851	835	3	]	]	X
ejpam-5851	835	4	e.	e.	PROPN
ejpam-5851	835	5	yomba	yomba	PROPN
ejpam-5851	835	6	.	.	PUNCT
ejpam-5851	836	1	the	the	DET
ejpam-5851	836	2	modified	modify	VERB
ejpam-5851	836	3	extended	extend	VERB
ejpam-5851	836	4	fan	fan	NOUN
ejpam-5851	836	5	sub	sub	ADJ
ejpam-5851	836	6	-	-	ADJ
ejpam-5851	836	7	equation	equation	NOUN
ejpam-5851	836	8	method	method	NOUN
ejpam-5851	836	9	and	and	CCONJ
ejpam-5851	836	10	its	its	PRON
ejpam-5851	836	11	application	application	NOUN
ejpam-5851	836	12	to	to	ADP
ejpam-5851	836	13	the	the	DET
ejpam-5851	836	14	(	(	PUNCT
ejpam-5851	836	15	2	2	NUM
ejpam-5851	836	16	+	+	NOUN
ejpam-5851	836	17	1)-dimensional	1)-dimensional	ADJ
ejpam-5851	836	18	broer	broer	NOUN
ejpam-5851	836	19	–	–	PUNCT
ejpam-5851	836	20	kaup	kaup	PROPN
ejpam-5851	836	21	–	–	PUNCT
ejpam-5851	836	22	kupershmidt	kupershmidt	ADJ
ejpam-5851	836	23	equation	equation	NOUN
ejpam-5851	836	24	.	.	PUNCT
ejpam-5851	837	1	chaos	chaos	NOUN
ejpam-5851	837	2	,	,	PUNCT
ejpam-5851	837	3	solitons	soliton	NOUN
ejpam-5851	837	4	and	and	CCONJ
ejpam-5851	837	5	fractals	fractal	NOUN
ejpam-5851	837	6	,	,	PUNCT
ejpam-5851	837	7	27(1):187–196	27(1):187–196	PROPN
ejpam-5851	837	8	,	,	PUNCT
ejpam-5851	837	9	2006	2006	NUM
ejpam-5851	837	10	.	.	PUNCT
ejpam-5851	838	1	b.	b.	PROPN
ejpam-5851	838	2	ceesay	ceesay	PROPN
ejpam-5851	838	3	et	et	PROPN
ejpam-5851	838	4	al	al	PROPN
ejpam-5851	838	5	.	.	PUNCT
ejpam-5851	838	6	/	/	SYM
ejpam-5851	838	7	eur	eur	PROPN
ejpam-5851	838	8	.	.	PUNCT
ejpam-5851	839	1	j.	j.	PROPN
ejpam-5851	839	2	pure	pure	PROPN
ejpam-5851	839	3	appl	appl	PROPN
ejpam-5851	839	4	.	.	PROPN
ejpam-5851	839	5	math	math	PROPN
ejpam-5851	839	6	,	,	PUNCT
ejpam-5851	839	7	18	18	NUM
ejpam-5851	839	8	(	(	PUNCT
ejpam-5851	839	9	2	2	NUM
ejpam-5851	839	10	)	)	PUNCT
ejpam-5851	839	11	(	(	PUNCT
ejpam-5851	839	12	2025	2025	NUM
ejpam-5851	839	13	)	)	PUNCT
ejpam-5851	839	14	,	,	PUNCT
ejpam-5851	839	15	5851	5851	NUM
ejpam-5851	839	16	31	31	NUM
ejpam-5851	839	17	of	of	ADP
ejpam-5851	839	18	32	32	NUM
ejpam-5851	840	1	[	[	SYM
ejpam-5851	840	2	24	24	NUM
ejpam-5851	840	3	]	]	PUNCT
ejpam-5851	840	4	h.	h.	PROPN
ejpam-5851	840	5	zhang	zhang	PROPN
ejpam-5851	840	6	.	.	PUNCT
ejpam-5851	841	1	a	a	DET
ejpam-5851	841	2	note	note	NOUN
ejpam-5851	841	3	on	on	ADP
ejpam-5851	841	4	some	some	DET
ejpam-5851	841	5	sub	sub	ADJ
ejpam-5851	841	6	-	-	ADJ
ejpam-5851	841	7	equation	equation	NOUN
ejpam-5851	841	8	methods	method	NOUN
ejpam-5851	841	9	and	and	CCONJ
ejpam-5851	841	10	new	new	ADJ
ejpam-5851	841	11	types	type	NOUN
ejpam-5851	841	12	of	of	ADP
ejpam-5851	841	13	exact	exact	ADJ
ejpam-5851	841	14	travelling	travel	VERB
ejpam-5851	841	15	wave	wave	NOUN
ejpam-5851	841	16	solutions	solution	NOUN
ejpam-5851	841	17	for	for	ADP
ejpam-5851	841	18	two	two	NUM
ejpam-5851	841	19	nonlinear	nonlinear	ADJ
ejpam-5851	841	20	partial	partial	ADJ
ejpam-5851	841	21	differential	differential	NOUN
ejpam-5851	841	22	equations	equation	NOUN
ejpam-5851	841	23	.	.	PUNCT
ejpam-5851	842	1	acta	acta	PROPN
ejpam-5851	842	2	applicandae	applicandae	PROPN
ejpam-5851	842	3	mathematicae	mathematicae	PROPN
ejpam-5851	842	4	,	,	PUNCT
ejpam-5851	842	5	106(2):241–249	106(2):241–249	NUM
ejpam-5851	842	6	,	,	PUNCT
ejpam-5851	842	7	2009	2009	NUM
ejpam-5851	842	8	.	.	PUNCT
ejpam-5851	843	1	[	[	X
ejpam-5851	843	2	25	25	NUM
ejpam-5851	843	3	]	]	PUNCT
ejpam-5851	843	4	m.	m.	NOUN
ejpam-5851	843	5	a.	a.	PROPN
ejpam-5851	843	6	s.	s.	PROPN
ejpam-5851	843	7	murad	murad	PROPN
ejpam-5851	843	8	,	,	PUNCT
ejpam-5851	843	9	w.	w.	PROPN
ejpam-5851	843	10	a.	a.	NOUN
ejpam-5851	843	11	faridi	faridi	PROPN
ejpam-5851	843	12	,	,	PUNCT
ejpam-5851	843	13	m.	m.	NOUN
ejpam-5851	843	14	iqbal	iqbal	PROPN
ejpam-5851	843	15	,	,	PUNCT
ejpam-5851	843	16	a.	a.	PROPN
ejpam-5851	843	17	h.	h.	PROPN
ejpam-5851	843	18	arnous	arnous	PROPN
ejpam-5851	843	19	,	,	PUNCT
ejpam-5851	843	20	n.	n.	NOUN
ejpam-5851	843	21	a.	a.	NOUN
ejpam-5851	843	22	shah	shah	PROPN
ejpam-5851	843	23	,	,	PUNCT
ejpam-5851	843	24	and	and	CCONJ
ejpam-5851	843	25	j.	j.	PROPN
ejpam-5851	843	26	d.	d.	PROPN
ejpam-5851	843	27	chung	chung	PROPN
ejpam-5851	843	28	.	.	PUNCT
ejpam-5851	844	1	analysis	analysis	NOUN
ejpam-5851	844	2	of	of	ADP
ejpam-5851	844	3	kudryashov	kudryashov	PROPN
ejpam-5851	844	4	’s	’s	PART
ejpam-5851	844	5	equation	equation	NOUN
ejpam-5851	844	6	with	with	ADP
ejpam-5851	844	7	conformable	conformable	ADJ
ejpam-5851	844	8	derivative	derivative	NOUN
ejpam-5851	844	9	via	via	ADP
ejpam-5851	844	10	the	the	DET
ejpam-5851	844	11	modified	modify	VERB
ejpam-5851	844	12	sardar	sardar	NOUN
ejpam-5851	844	13	sub	sub	NOUN
ejpam-5851	844	14	-	-	NOUN
ejpam-5851	844	15	equation	equation	NOUN
ejpam-5851	844	16	algorithm	algorithm	NOUN
ejpam-5851	844	17	.	.	PUNCT
ejpam-5851	845	1	results	result	NOUN
ejpam-5851	845	2	in	in	ADP
ejpam-5851	845	3	physics	physics	NOUN
ejpam-5851	845	4	,	,	PUNCT
ejpam-5851	845	5	60:107678	60:107678	PROPN
ejpam-5851	845	6	,	,	PUNCT
ejpam-5851	845	7	2024	2024	NUM
ejpam-5851	845	8	.	.	PUNCT
ejpam-5851	846	1	[	[	X
ejpam-5851	846	2	26	26	NUM
ejpam-5851	846	3	]	]	PUNCT
ejpam-5851	846	4	t.	t.	PROPN
ejpam-5851	846	5	shahzad	shahzad	PROPN
ejpam-5851	846	6	,	,	PUNCT
ejpam-5851	846	7	m.	m.	NOUN
ejpam-5851	846	8	z.	z.	PROPN
ejpam-5851	846	9	baber	baber	PROPN
ejpam-5851	846	10	,	,	PUNCT
ejpam-5851	846	11	m.	m.	NOUN
ejpam-5851	846	12	qasim	qasim	PROPN
ejpam-5851	846	13	,	,	PUNCT
ejpam-5851	846	14	t.	t.	PROPN
ejpam-5851	846	15	a.	a.	PROPN
ejpam-5851	846	16	sulaiman	sulaiman	PROPN
ejpam-5851	846	17	,	,	PUNCT
ejpam-5851	846	18	m.	m.	PROPN
ejpam-5851	846	19	w.	w.	PROPN
ejpam-5851	846	20	yasin	yasin	PROPN
ejpam-5851	846	21	,	,	PUNCT
ejpam-5851	846	22	and	and	CCONJ
ejpam-5851	846	23	n.	n.	PROPN
ejpam-5851	846	24	ahmed	ahmed	PROPN
ejpam-5851	846	25	.	.	PUNCT
ejpam-5851	847	1	explicit	explicit	ADJ
ejpam-5851	847	2	solitary	solitary	ADJ
ejpam-5851	847	3	wave	wave	NOUN
ejpam-5851	847	4	profiles	profile	NOUN
ejpam-5851	847	5	and	and	CCONJ
ejpam-5851	847	6	stability	stability	NOUN
ejpam-5851	847	7	analysis	analysis	NOUN
ejpam-5851	847	8	of	of	ADP
ejpam-5851	847	9	biomembranes	biomembrane	NOUN
ejpam-5851	847	10	and	and	CCONJ
ejpam-5851	847	11	nerves	nerve	NOUN
ejpam-5851	847	12	.	.	PUNCT
ejpam-5851	848	1	modern	modern	ADJ
ejpam-5851	848	2	physics	physics	NOUN
ejpam-5851	848	3	letters	letters	PROPN
ejpam-5851	848	4	b	b	NOUN
ejpam-5851	848	5	,	,	PUNCT
ejpam-5851	848	6	page	page	NOUN
ejpam-5851	848	7	2450305	2450305	NUM
ejpam-5851	848	8	,	,	PUNCT
ejpam-5851	848	9	2024	2024	NUM
ejpam-5851	848	10	.	.	PUNCT
ejpam-5851	849	1	[	[	X
ejpam-5851	849	2	27	27	NUM
ejpam-5851	849	3	]	]	X
ejpam-5851	849	4	n.	n.	PROPN
ejpam-5851	849	5	h.	h.	PROPN
ejpam-5851	849	6	aljahdaly	aljahdaly	PROPN
ejpam-5851	849	7	.	.	PUNCT
ejpam-5851	850	1	some	some	DET
ejpam-5851	850	2	applications	application	NOUN
ejpam-5851	850	3	of	of	ADP
ejpam-5851	850	4	the	the	DET
ejpam-5851	850	5	modified	modified	ADJ
ejpam-5851	850	6	(	(	PUNCT
ejpam-5851	850	7	g	g	NOUN
ejpam-5851	850	8	′	′	NUM
ejpam-5851	850	9	g2	g2	PROPN
ejpam-5851	850	10	)	)	PUNCT
ejpam-5851	850	11	-expansion	-expansion	PROPN
ejpam-5851	850	12	method	method	NOUN
ejpam-5851	850	13	in	in	ADP
ejpam-5851	850	14	mathematical	mathematical	ADJ
ejpam-5851	850	15	physics	physic	NOUN
ejpam-5851	850	16	.	.	PUNCT
ejpam-5851	851	1	results	result	NOUN
ejpam-5851	851	2	in	in	ADP
ejpam-5851	851	3	physics	physics	NOUN
ejpam-5851	851	4	,	,	PUNCT
ejpam-5851	851	5	13:102272	13:102272	NUM
ejpam-5851	851	6	,	,	PUNCT
ejpam-5851	851	7	2019	2019	NUM
ejpam-5851	851	8	.	.	PUNCT
ejpam-5851	852	1	[	[	X
ejpam-5851	852	2	28	28	NUM
ejpam-5851	852	3	]	]	X
ejpam-5851	853	1	p.	p.	NOUN
ejpam-5851	853	2	g.	g.	PROPN
ejpam-5851	854	1	estévez	estévez	PROPN
ejpam-5851	854	2	.	.	PROPN
ejpam-5851	854	3	darboux	darboux	VERB
ejpam-5851	854	4	transformation	transformation	NOUN
ejpam-5851	854	5	and	and	CCONJ
ejpam-5851	854	6	solutions	solution	NOUN
ejpam-5851	854	7	for	for	ADP
ejpam-5851	854	8	an	an	DET
ejpam-5851	854	9	equation	equation	NOUN
ejpam-5851	854	10	in	in	ADP
ejpam-5851	854	11	2	2	NUM
ejpam-5851	854	12	+	+	SYM
ejpam-5851	854	13	1	1	NUM
ejpam-5851	854	14	dimensions	dimension	NOUN
ejpam-5851	854	15	.	.	PUNCT
ejpam-5851	855	1	journal	journal	PROPN
ejpam-5851	855	2	of	of	ADP
ejpam-5851	855	3	mathematical	mathematical	ADJ
ejpam-5851	855	4	physics	physics	NOUN
ejpam-5851	855	5	,	,	PUNCT
ejpam-5851	855	6	40(3):1406–1419	40(3):1406–1419	NUM
ejpam-5851	855	7	,	,	PUNCT
ejpam-5851	855	8	1999	1999	NUM
ejpam-5851	855	9	.	.	PUNCT
ejpam-5851	856	1	[	[	X
ejpam-5851	856	2	29	29	NUM
ejpam-5851	856	3	]	]	PUNCT
ejpam-5851	856	4	a.	a.	NOUN
ejpam-5851	856	5	hussain	hussain	PROPN
ejpam-5851	856	6	,	,	PUNCT
ejpam-5851	856	7	m.	m.	NOUN
ejpam-5851	856	8	usman	usman	PROPN
ejpam-5851	856	9	,	,	PUNCT
ejpam-5851	856	10	and	and	CCONJ
ejpam-5851	856	11	f.	f.	PROPN
ejpam-5851	856	12	zaman	zaman	PROPN
ejpam-5851	856	13	.	.	PROPN
ejpam-5851	856	14	lie	lie	PROPN
ejpam-5851	856	15	group	group	NOUN
ejpam-5851	856	16	analysis	analysis	NOUN
ejpam-5851	856	17	,	,	PUNCT
ejpam-5851	856	18	solitons	soliton	NOUN
ejpam-5851	856	19	,	,	PUNCT
ejpam-5851	856	20	self	self	NOUN
ejpam-5851	856	21	-	-	PUNCT
ejpam-5851	856	22	adjointness	adjointness	NOUN
ejpam-5851	856	23	and	and	CCONJ
ejpam-5851	856	24	conservation	conservation	NOUN
ejpam-5851	856	25	laws	law	NOUN
ejpam-5851	856	26	of	of	ADP
ejpam-5851	856	27	the	the	DET
ejpam-5851	856	28	nonlinear	nonlinear	ADJ
ejpam-5851	856	29	elastic	elastic	ADJ
ejpam-5851	856	30	structural	structural	ADJ
ejpam-5851	856	31	element	element	NOUN
ejpam-5851	856	32	equation	equation	NOUN
ejpam-5851	856	33	.	.	PUNCT
ejpam-5851	857	1	journal	journal	PROPN
ejpam-5851	857	2	of	of	ADP
ejpam-5851	857	3	taibah	taibah	PROPN
ejpam-5851	857	4	university	university	PROPN
ejpam-5851	857	5	for	for	ADP
ejpam-5851	857	6	science	science	NOUN
ejpam-5851	857	7	,	,	PUNCT
ejpam-5851	857	8	18(1):2294554	18(1):2294554	NUM
ejpam-5851	857	9	,	,	PUNCT
ejpam-5851	857	10	2024	2024	NUM
ejpam-5851	857	11	.	.	PUNCT
ejpam-5851	858	1	[	[	X
ejpam-5851	858	2	30	30	NUM
ejpam-5851	858	3	]	]	X
ejpam-5851	858	4	m.	m.	NOUN
ejpam-5851	858	5	j.	j.	PROPN
ejpam-5851	858	6	ablowitz	ablowitz	PROPN
ejpam-5851	858	7	.	.	PUNCT
ejpam-5851	859	1	nonlinear	nonlinear	ADJ
ejpam-5851	859	2	waves	wave	NOUN
ejpam-5851	859	3	and	and	CCONJ
ejpam-5851	859	4	the	the	DET
ejpam-5851	859	5	inverse	inverse	NOUN
ejpam-5851	859	6	scattering	scattering	NOUN
ejpam-5851	859	7	transform	transform	NOUN
ejpam-5851	859	8	.	.	PUNCT
ejpam-5851	860	1	optik	optik	PROPN
ejpam-5851	860	2	,	,	PUNCT
ejpam-5851	860	3	278:170710	278:170710	NUM
ejpam-5851	860	4	,	,	PUNCT
ejpam-5851	860	5	2023	2023	NUM
ejpam-5851	860	6	.	.	PUNCT
ejpam-5851	861	1	[	[	X
ejpam-5851	861	2	31	31	NUM
ejpam-5851	861	3	]	]	PUNCT
ejpam-5851	861	4	m.	m.	NOUN
ejpam-5851	861	5	z.	z.	PROPN
ejpam-5851	861	6	baber	baber	PROPN
ejpam-5851	861	7	,	,	PUNCT
ejpam-5851	861	8	g.	g.	PROPN
ejpam-5851	861	9	abbas	abbas	PROPN
ejpam-5851	861	10	,	,	PUNCT
ejpam-5851	861	11	i.	i.	PROPN
ejpam-5851	861	12	saeed	saeed	PROPN
ejpam-5851	861	13	,	,	PUNCT
ejpam-5851	861	14	t.	t.	PROPN
ejpam-5851	861	15	a.	a.	PROPN
ejpam-5851	861	16	sulaiman	sulaiman	PROPN
ejpam-5851	861	17	,	,	PUNCT
ejpam-5851	861	18	n.	n.	PROPN
ejpam-5851	861	19	ahmed	ahmed	PROPN
ejpam-5851	861	20	,	,	PUNCT
ejpam-5851	861	21	h.	h.	PROPN
ejpam-5851	861	22	ahmad	ahmad	PROPN
ejpam-5851	861	23	,	,	PUNCT
ejpam-5851	861	24	et	et	PROPN
ejpam-5851	861	25	al	al	PROPN
ejpam-5851	861	26	.	.	PROPN
ejpam-5851	861	27	optical	optical	ADJ
ejpam-5851	861	28	solitons	soliton	NOUN
ejpam-5851	861	29	for	for	ADP
ejpam-5851	861	30	2d	2d	NOUN
ejpam-5851	861	31	-	-	PUNCT
ejpam-5851	861	32	nlse	nlse	NOUN
ejpam-5851	861	33	in	in	ADP
ejpam-5851	861	34	multimode	multimode	PROPN
ejpam-5851	861	35	fiber	fiber	NOUN
ejpam-5851	861	36	with	with	ADP
ejpam-5851	861	37	kerr	kerr	PROPN
ejpam-5851	861	38	nonlinearity	nonlinearity	PROPN
ejpam-5851	861	39	and	and	CCONJ
ejpam-5851	861	40	its	its	PRON
ejpam-5851	861	41	modulation	modulation	NOUN
ejpam-5851	861	42	instability	instability	NOUN
ejpam-5851	861	43	.	.	PUNCT
ejpam-5851	862	1	modern	modern	ADJ
ejpam-5851	862	2	physics	physics	PROPN
ejpam-5851	862	3	letters	letters	PROPN
ejpam-5851	862	4	b	b	NOUN
ejpam-5851	862	5	,	,	PUNCT
ejpam-5851	862	6	page	page	NOUN
ejpam-5851	862	7	2450341	2450341	NUM
ejpam-5851	862	8	,	,	PUNCT
ejpam-5851	862	9	2024	2024	NUM
ejpam-5851	862	10	.	.	PUNCT
ejpam-5851	863	1	[	[	X
ejpam-5851	863	2	32	32	NUM
ejpam-5851	863	3	]	]	PUNCT
ejpam-5851	863	4	m.	m.	NOUN
ejpam-5851	863	5	ozisik	ozisik	NOUN
ejpam-5851	863	6	,	,	PUNCT
ejpam-5851	863	7	a.	a.	NOUN
ejpam-5851	863	8	secer	secer	NOUN
ejpam-5851	863	9	,	,	PUNCT
ejpam-5851	863	10	and	and	CCONJ
ejpam-5851	863	11	m.	m.	PROPN
ejpam-5851	863	12	bayram	bayram	PROPN
ejpam-5851	863	13	.	.	PUNCT
ejpam-5851	864	1	obtaining	obtain	VERB
ejpam-5851	864	2	analytical	analytical	ADJ
ejpam-5851	864	3	solutions	solution	NOUN
ejpam-5851	864	4	of	of	ADP
ejpam-5851	864	5	(	(	PUNCT
ejpam-5851	864	6	2	2	NUM
ejpam-5851	864	7	+	+	NOUN
ejpam-5851	864	8	1)-dimensional	1)-dimensional	ADJ
ejpam-5851	864	9	nonlinear	nonlinear	ADJ
ejpam-5851	864	10	zoomeron	zoomeron	X
ejpam-5851	864	11	equation	equation	NOUN
ejpam-5851	864	12	by	by	ADP
ejpam-5851	864	13	using	use	VERB
ejpam-5851	864	14	modified	modify	VERB
ejpam-5851	864	15	f	f	NOUN
ejpam-5851	864	16	-	-	PUNCT
ejpam-5851	864	17	expansion	expansion	NOUN
ejpam-5851	864	18	and	and	CCONJ
ejpam-5851	864	19	modified	modify	VERB
ejpam-5851	864	20	generalized	generalize	VERB
ejpam-5851	864	21	kudryashov	kudryashov	ADJ
ejpam-5851	864	22	methods	method	NOUN
ejpam-5851	864	23	.	.	PUNCT
ejpam-5851	865	1	engineering	engineering	NOUN
ejpam-5851	865	2	computations	computation	NOUN
ejpam-5851	865	3	,	,	PUNCT
ejpam-5851	865	4	41(5):1105–1120	41(5):1105–1120	NUM
ejpam-5851	865	5	,	,	PUNCT
ejpam-5851	865	6	2024	2024	NUM
ejpam-5851	865	7	.	.	PUNCT
ejpam-5851	866	1	[	[	X
ejpam-5851	866	2	33	33	NUM
ejpam-5851	866	3	]	]	PUNCT
ejpam-5851	866	4	s.	s.	PROPN
ejpam-5851	866	5	tarla	tarla	PROPN
ejpam-5851	866	6	,	,	PUNCT
ejpam-5851	866	7	k.	k.	PROPN
ejpam-5851	866	8	k.	k.	PROPN
ejpam-5851	866	9	ali	ali	PROPN
ejpam-5851	866	10	,	,	PUNCT
ejpam-5851	866	11	and	and	CCONJ
ejpam-5851	866	12	r.	r.	PROPN
ejpam-5851	866	13	yilmazer	yilmazer	NOUN
ejpam-5851	866	14	.	.	PUNCT
ejpam-5851	867	1	newly	newly	ADV
ejpam-5851	867	2	modified	modify	VERB
ejpam-5851	867	3	unified	unified	ADJ
ejpam-5851	867	4	auxiliary	auxiliary	ADJ
ejpam-5851	867	5	equation	equation	NOUN
ejpam-5851	867	6	method	method	NOUN
ejpam-5851	867	7	and	and	CCONJ
ejpam-5851	867	8	its	its	PRON
ejpam-5851	867	9	applications	application	NOUN
ejpam-5851	867	10	.	.	PUNCT
ejpam-5851	868	1	optik	optik	PROPN
ejpam-5851	868	2	,	,	PUNCT
ejpam-5851	868	3	269:169880	269:169880	NUM
ejpam-5851	868	4	,	,	PUNCT
ejpam-5851	868	5	2022	2022	NUM
ejpam-5851	868	6	.	.	PUNCT
ejpam-5851	869	1	[	[	X
ejpam-5851	869	2	34	34	NUM
ejpam-5851	869	3	]	]	PUNCT
ejpam-5851	869	4	t.	t.	NOUN
ejpam-5851	869	5	mathanaranjan	mathanaranjan	PROPN
ejpam-5851	869	6	and	and	CCONJ
ejpam-5851	869	7	r.	r.	PROPN
ejpam-5851	869	8	myrzakulov	myrzakulov	PROPN
ejpam-5851	869	9	.	.	PUNCT
ejpam-5851	870	1	integrable	integrable	ADJ
ejpam-5851	870	2	akbota	akbota	ADJ
ejpam-5851	870	3	equation	equation	NOUN
ejpam-5851	870	4	:	:	PUNCT
ejpam-5851	870	5	conservation	conservation	NOUN
ejpam-5851	870	6	laws	law	NOUN
ejpam-5851	870	7	,	,	PUNCT
ejpam-5851	870	8	optical	optical	ADJ
ejpam-5851	870	9	soliton	soliton	NOUN
ejpam-5851	870	10	solutions	solution	NOUN
ejpam-5851	870	11	and	and	CCONJ
ejpam-5851	870	12	stability	stability	NOUN
ejpam-5851	870	13	analysis	analysis	NOUN
ejpam-5851	870	14	.	.	PUNCT
ejpam-5851	871	1	optical	optical	ADJ
ejpam-5851	871	2	and	and	CCONJ
ejpam-5851	871	3	quantum	quantum	ADJ
ejpam-5851	871	4	electronics	electronic	NOUN
ejpam-5851	871	5	,	,	PUNCT
ejpam-5851	871	6	56(4):564	56(4):564	NOUN
ejpam-5851	871	7	,	,	PUNCT
ejpam-5851	871	8	2024	2024	NUM
ejpam-5851	871	9	.	.	PUNCT
ejpam-5851	872	1	[	[	X
ejpam-5851	872	2	35	35	NUM
ejpam-5851	872	3	]	]	X
ejpam-5851	872	4	s.	s.	PROPN
ejpam-5851	872	5	t.	t.	PROPN
ejpam-5851	872	6	rizvi	rizvi	PROPN
ejpam-5851	872	7	,	,	PUNCT
ejpam-5851	872	8	a.	a.	PROPN
ejpam-5851	872	9	r.	r.	PROPN
ejpam-5851	872	10	seadawy	seadawy	PROPN
ejpam-5851	872	11	,	,	PUNCT
ejpam-5851	872	12	and	and	CCONJ
ejpam-5851	872	13	s.	s.	PROPN
ejpam-5851	872	14	ahmed	ahmed	PROPN
ejpam-5851	872	15	.	.	PUNCT
ejpam-5851	873	1	bell	bell	PROPN
ejpam-5851	873	2	and	and	CCONJ
ejpam-5851	873	3	kink	kink	PROPN
ejpam-5851	873	4	type	type	NOUN
ejpam-5851	873	5	,	,	PUNCT
ejpam-5851	873	6	weierstrass	weierstrass	NOUN
ejpam-5851	873	7	and	and	CCONJ
ejpam-5851	873	8	jacobi	jacobi	PROPN
ejpam-5851	873	9	elliptic	elliptic	PROPN
ejpam-5851	873	10	,	,	PUNCT
ejpam-5851	873	11	multiwave	multiwave	ADJ
ejpam-5851	873	12	,	,	PUNCT
ejpam-5851	873	13	kinky	kinky	ADJ
ejpam-5851	873	14	breather	breather	NOUN
ejpam-5851	873	15	,	,	PUNCT
ejpam-5851	873	16	m	m	NOUN
ejpam-5851	873	17	-	-	PUNCT
ejpam-5851	873	18	shaped	shaped	ADJ
ejpam-5851	873	19	and	and	CCONJ
ejpam-5851	873	20	periodic	periodic	ADJ
ejpam-5851	873	21	-	-	PUNCT
ejpam-5851	873	22	kink	kink	NOUN
ejpam-5851	873	23	-	-	PUNCT
ejpam-5851	873	24	cross	cross	NOUN
ejpam-5851	873	25	rational	rational	ADJ
ejpam-5851	873	26	solutions	solution	NOUN
ejpam-5851	873	27	for	for	ADP
ejpam-5851	873	28	einstein	einstein	PROPN
ejpam-5851	873	29	’s	’s	PART
ejpam-5851	873	30	vacuum	vacuum	PROPN
ejpam-5851	873	31	field	field	NOUN
ejpam-5851	873	32	model	model	NOUN
ejpam-5851	873	33	.	.	PUNCT
ejpam-5851	874	1	optical	optical	ADJ
ejpam-5851	874	2	and	and	CCONJ
ejpam-5851	874	3	quantum	quantum	NOUN
ejpam-5851	874	4	electronics	electronic	NOUN
ejpam-5851	874	5	,	,	PUNCT
ejpam-5851	874	6	56(3):456	56(3):456	NOUN
ejpam-5851	874	7	,	,	PUNCT
ejpam-5851	874	8	2024	2024	NUM
ejpam-5851	874	9	.	.	PUNCT
ejpam-5851	875	1	[	[	X
ejpam-5851	875	2	36	36	NUM
ejpam-5851	875	3	]	]	X
ejpam-5851	875	4	y.	y.	PROPN
ejpam-5851	875	5	l.	l.	PROPN
ejpam-5851	875	6	ma	ma	PROPN
ejpam-5851	875	7	,	,	PUNCT
ejpam-5851	875	8	a.	a.	PROPN
ejpam-5851	875	9	m.	m.	NOUN
ejpam-5851	875	10	wazwaz	wazwaz	PROPN
ejpam-5851	875	11	,	,	PUNCT
ejpam-5851	875	12	and	and	CCONJ
ejpam-5851	875	13	b.	b.	PROPN
ejpam-5851	875	14	q.	q.	PROPN
ejpam-5851	875	15	li	li	PROPN
ejpam-5851	875	16	.	.	PROPN
ejpam-5851	875	17	soliton	soliton	NOUN
ejpam-5851	875	18	resonances	resonance	NOUN
ejpam-5851	875	19	,	,	PUNCT
ejpam-5851	875	20	soliton	soliton	NOUN
ejpam-5851	875	21	molecules	molecule	NOUN
ejpam-5851	875	22	,	,	PUNCT
ejpam-5851	875	23	soliton	soliton	NOUN
ejpam-5851	875	24	oscillations	oscillation	NOUN
ejpam-5851	875	25	and	and	CCONJ
ejpam-5851	875	26	heterotypic	heterotypic	NOUN
ejpam-5851	875	27	solitons	soliton	NOUN
ejpam-5851	875	28	for	for	ADP
ejpam-5851	875	29	the	the	DET
ejpam-5851	875	30	nonlinear	nonlinear	ADJ
ejpam-5851	875	31	maccari	maccari	PROPN
ejpam-5851	875	32	system	system	NOUN
ejpam-5851	875	33	.	.	PUNCT
ejpam-5851	876	1	nonlinear	nonlinear	ADJ
ejpam-5851	876	2	dynamics	dynamic	NOUN
ejpam-5851	876	3	,	,	PUNCT
ejpam-5851	876	4	111(19):18331–18344	111(19):18331–18344	NUM
ejpam-5851	876	5	,	,	PUNCT
ejpam-5851	876	6	2023	2023	NUM
ejpam-5851	876	7	.	.	PUNCT
ejpam-5851	877	1	[	[	X
ejpam-5851	877	2	37	37	NUM
ejpam-5851	877	3	]	]	X
ejpam-5851	877	4	y.	y.	PROPN
ejpam-5851	877	5	l.	l.	PROPN
ejpam-5851	877	6	ma	ma	PROPN
ejpam-5851	877	7	and	and	CCONJ
ejpam-5851	877	8	b.	b.	PROPN
ejpam-5851	877	9	q.	q.	PROPN
ejpam-5851	877	10	li	li	PROPN
ejpam-5851	877	11	.	.	PROPN
ejpam-5851	877	12	bifurcation	bifurcation	NOUN
ejpam-5851	877	13	solitons	soliton	NOUN
ejpam-5851	877	14	and	and	CCONJ
ejpam-5851	877	15	breathers	breather	NOUN
ejpam-5851	877	16	for	for	ADP
ejpam-5851	877	17	the	the	DET
ejpam-5851	877	18	nonlocal	nonlocal	ADJ
ejpam-5851	877	19	boussinesq	boussinesq	ADJ
ejpam-5851	877	20	equations	equation	NOUN
ejpam-5851	877	21	.	.	PUNCT
ejpam-5851	878	1	applied	apply	VERB
ejpam-5851	878	2	mathematics	mathematics	NOUN
ejpam-5851	878	3	letters	letter	NOUN
ejpam-5851	878	4	,	,	PUNCT
ejpam-5851	878	5	124:107677	124:107677	NUM
ejpam-5851	878	6	,	,	PUNCT
ejpam-5851	878	7	2022	2022	NUM
ejpam-5851	878	8	.	.	PUNCT
ejpam-5851	879	1	[	[	X
ejpam-5851	879	2	38	38	NUM
ejpam-5851	879	3	]	]	PUNCT
ejpam-5851	879	4	m.	m.	NOUN
ejpam-5851	879	5	h.	h.	PROPN
ejpam-5851	879	6	khan	khan	PROPN
ejpam-5851	879	7	and	and	CCONJ
ejpam-5851	879	8	a.	a.	NOUN
ejpam-5851	879	9	m.	m.	PROPN
ejpam-5851	879	10	wazwaz	wazwaz	PROPN
ejpam-5851	879	11	.	.	PUNCT
ejpam-5851	880	1	lump	lump	NOUN
ejpam-5851	880	2	,	,	PUNCT
ejpam-5851	880	3	multi	multi	ADJ
ejpam-5851	880	4	-	-	ADJ
ejpam-5851	880	5	lump	lump	ADJ
ejpam-5851	880	6	,	,	PUNCT
ejpam-5851	880	7	cross	cross	VERB
ejpam-5851	880	8	kinky	kinky	ADJ
ejpam-5851	880	9	-	-	PUNCT
ejpam-5851	880	10	lump	lump	NOUN
ejpam-5851	880	11	and	and	CCONJ
ejpam-5851	880	12	manifold	manifold	ADJ
ejpam-5851	880	13	periodic	periodic	ADJ
ejpam-5851	880	14	-	-	PUNCT
ejpam-5851	880	15	soliton	soliton	NOUN
ejpam-5851	880	16	solutions	solution	NOUN
ejpam-5851	880	17	for	for	ADP
ejpam-5851	880	18	the	the	DET
ejpam-5851	880	19	(	(	PUNCT
ejpam-5851	880	20	2	2	NUM
ejpam-5851	880	21	+	+	NOUN
ejpam-5851	880	22	1)-dimensional	1)-dimensional	ADJ
ejpam-5851	880	23	calogero	calogero	NOUN
ejpam-5851	880	24	–	–	PUNCT
ejpam-5851	880	25	bogoyavlenskii	bogoyavlenskii	ADJ
ejpam-5851	880	26	–	–	PUNCT
ejpam-5851	880	27	schiff	schiff	NOUN
ejpam-5851	880	28	equation	equation	NOUN
ejpam-5851	880	29	.	.	PUNCT
ejpam-5851	881	1	heliyon	heliyon	NOUN
ejpam-5851	881	2	,	,	PUNCT
ejpam-5851	881	3	6(4):e03824	6(4):e03824	NUM
ejpam-5851	881	4	,	,	PUNCT
ejpam-5851	881	5	2020	2020	NUM
ejpam-5851	881	6	.	.	PUNCT
ejpam-5851	882	1	[	[	X
ejpam-5851	882	2	39	39	NUM
ejpam-5851	882	3	]	]	PUNCT
ejpam-5851	882	4	s.	s.	PROPN
ejpam-5851	882	5	ahmed	ahmed	PROPN
ejpam-5851	882	6	,	,	PUNCT
ejpam-5851	882	7	a.	a.	PROPN
ejpam-5851	882	8	r.	r.	PROPN
ejpam-5851	882	9	seadawy	seadawy	PROPN
ejpam-5851	882	10	,	,	PUNCT
ejpam-5851	882	11	s.	s.	PROPN
ejpam-5851	882	12	t.	t.	PROPN
ejpam-5851	882	13	rizvi	rizvi	PROPN
ejpam-5851	882	14	,	,	PUNCT
ejpam-5851	882	15	and	and	CCONJ
ejpam-5851	882	16	a.	a.	NOUN
ejpam-5851	882	17	m.	m.	NOUN
ejpam-5851	882	18	mubaraki	mubaraki	PROPN
ejpam-5851	882	19	.	.	PUNCT
ejpam-5851	883	1	homoclinic	homoclinic	ADJ
ejpam-5851	883	2	breathers	breather	NOUN
ejpam-5851	883	3	and	and	CCONJ
ejpam-5851	883	4	soliton	soliton	NOUN
ejpam-5851	883	5	propagations	propagation	NOUN
ejpam-5851	883	6	for	for	ADP
ejpam-5851	883	7	the	the	DET
ejpam-5851	883	8	nonlinear	nonlinear	NOUN
ejpam-5851	883	9	(	(	PUNCT
ejpam-5851	883	10	3	3	NUM
ejpam-5851	883	11	+	+	NOUN
ejpam-5851	883	12	1)-dimensional	1)-dimensional	PROPN
ejpam-5851	883	13	geng	geng	PROPN
ejpam-5851	883	14	dynamical	dynamical	ADJ
ejpam-5851	883	15	equation	equation	NOUN
ejpam-5851	883	16	.	.	PUNCT
ejpam-5851	884	1	results	result	NOUN
ejpam-5851	884	2	in	in	ADP
ejpam-5851	884	3	physics	physics	NOUN
ejpam-5851	884	4	,	,	PUNCT
ejpam-5851	884	5	52:106822	52:106822	NOUN
ejpam-5851	884	6	,	,	PUNCT
ejpam-5851	884	7	2023	2023	NUM
ejpam-5851	884	8	.	.	PUNCT
ejpam-5851	885	1	[	[	X
ejpam-5851	885	2	40	40	NUM
ejpam-5851	885	3	]	]	PUNCT
ejpam-5851	885	4	b.	b.	PROPN
ejpam-5851	885	5	ceesay	ceesay	PROPN
ejpam-5851	885	6	,	,	PUNCT
ejpam-5851	885	7	m.	m.	NOUN
ejpam-5851	885	8	z.	z.	PROPN
ejpam-5851	885	9	baber	baber	PROPN
ejpam-5851	885	10	,	,	PUNCT
ejpam-5851	885	11	n.	n.	PROPN
ejpam-5851	885	12	ahmed	ahmed	PROPN
ejpam-5851	885	13	,	,	PUNCT
ejpam-5851	885	14	a.	a.	PROPN
ejpam-5851	885	15	akgül	akgül	PROPN
ejpam-5851	885	16	,	,	PUNCT
ejpam-5851	885	17	a.	a.	PROPN
ejpam-5851	885	18	cordero	cordero	PROPN
ejpam-5851	885	19	,	,	PUNCT
ejpam-5851	885	20	and	and	CCONJ
ejpam-5851	885	21	j.	j.	PROPN
ejpam-5851	885	22	r.	r.	PROPN
ejpam-5851	885	23	torregrosa	torregrosa	PROPN
ejpam-5851	885	24	.	.	PUNCT
ejpam-5851	886	1	modelling	model	VERB
ejpam-5851	886	2	symmetric	symmetric	ADJ
ejpam-5851	886	3	ion	ion	NOUN
ejpam-5851	886	4	-	-	PUNCT
ejpam-5851	886	5	acoustic	acoustic	ADJ
ejpam-5851	886	6	wave	wave	NOUN
ejpam-5851	886	7	structures	structure	NOUN
ejpam-5851	886	8	for	for	ADP
ejpam-5851	886	9	the	the	DET
ejpam-5851	886	10	bbmpb	bbmpb	NOUN
ejpam-5851	886	11	equation	equation	NOUN
ejpam-5851	886	12	in	in	ADP
ejpam-5851	886	13	fluid	fluid	ADJ
ejpam-5851	886	14	ions	ion	NOUN
ejpam-5851	886	15	using	use	VERB
ejpam-5851	886	16	hirota	hirota	PROPN
ejpam-5851	886	17	’s	’s	PART
ejpam-5851	886	18	bilinear	bilinear	PROPN
ejpam-5851	886	19	technique	technique	NOUN
ejpam-5851	886	20	.	.	PUNCT
ejpam-5851	887	1	symmetry	symmetry	NOUN
ejpam-5851	887	2	,	,	PUNCT
ejpam-5851	887	3	15(9):1682	15(9):1682	NUM
ejpam-5851	887	4	,	,	PUNCT
ejpam-5851	887	5	2023	2023	NUM
ejpam-5851	887	6	.	.	PUNCT
ejpam-5851	888	1	[	[	X
ejpam-5851	888	2	41	41	NUM
ejpam-5851	888	3	]	]	PUNCT
ejpam-5851	888	4	m.	m.	NOUN
ejpam-5851	888	5	wang	wang	PROPN
ejpam-5851	888	6	,	,	PUNCT
ejpam-5851	888	7	b.	b.	PROPN
ejpam-5851	888	8	tian	tian	PROPN
ejpam-5851	888	9	,	,	PUNCT
ejpam-5851	888	10	q.	q.	PROPN
ejpam-5851	888	11	x.	x.	PROPN
ejpam-5851	888	12	qu	qu	PROPN
ejpam-5851	888	13	,	,	PUNCT
ejpam-5851	888	14	x.	x.	PROPN
ejpam-5851	888	15	h.	h.	PROPN
ejpam-5851	888	16	zhao	zhao	PROPN
ejpam-5851	888	17	,	,	PUNCT
ejpam-5851	888	18	z.	z.	PROPN
ejpam-5851	888	19	zhang	zhang	PROPN
ejpam-5851	888	20	,	,	PUNCT
ejpam-5851	888	21	and	and	CCONJ
ejpam-5851	888	22	h.	h.	PROPN
ejpam-5851	888	23	y.	y.	PROPN
ejpam-5851	888	24	tian	tian	PROPN
ejpam-5851	888	25	.	.	PUNCT
ejpam-5851	889	1	lump	lump	NOUN
ejpam-5851	889	2	,	,	PUNCT
ejpam-5851	889	3	lumpoff	lumpoff	NOUN
ejpam-5851	889	4	,	,	PUNCT
ejpam-5851	889	5	rogue	rogue	ADJ
ejpam-5851	889	6	wave	wave	NOUN
ejpam-5851	889	7	,	,	PUNCT
ejpam-5851	889	8	breather	breather	NOUN
ejpam-5851	889	9	wave	wave	NOUN
ejpam-5851	889	10	and	and	CCONJ
ejpam-5851	889	11	periodic	periodic	ADJ
ejpam-5851	889	12	lump	lump	NOUN
ejpam-5851	889	13	solutions	solution	NOUN
ejpam-5851	889	14	for	for	ADP
ejpam-5851	889	15	a	a	DET
ejpam-5851	889	16	(	(	PUNCT
ejpam-5851	889	17	3	3	NUM
ejpam-5851	889	18	+	+	NOUN
ejpam-5851	889	19	1)-dimensional	1)-dimensional	ADJ
ejpam-5851	889	20	generalized	generalized	ADJ
ejpam-5851	889	21	kadomtsev	kadomtsev	VERB
ejpam-5851	889	22	–	–	PUNCT
ejpam-5851	889	23	petviashvili	petviashvili	ADJ
ejpam-5851	889	24	equation	equation	NOUN
ejpam-5851	889	25	in	in	ADP
ejpam-5851	889	26	fluid	fluid	ADJ
ejpam-5851	889	27	mechanics	mechanic	NOUN
ejpam-5851	889	28	and	and	CCONJ
ejpam-5851	889	29	plasma	plasma	NOUN
ejpam-5851	889	30	physics	physic	NOUN
ejpam-5851	889	31	.	.	PUNCT
ejpam-5851	890	1	international	international	ADJ
ejpam-5851	890	2	journal	journal	PROPN
ejpam-5851	890	3	of	of	ADP
ejpam-5851	890	4	computer	computer	NOUN
ejpam-5851	890	5	mathematics	mathematic	NOUN
ejpam-5851	890	6	,	,	PUNCT
ejpam-5851	890	7	97(12):2474–2486	97(12):2474–2486	NUM
ejpam-5851	890	8	,	,	PUNCT
ejpam-5851	890	9	2020	2020	NUM
ejpam-5851	890	10	.	.	PUNCT
ejpam-5851	891	1	[	[	X
ejpam-5851	891	2	42	42	NUM
ejpam-5851	891	3	]	]	PUNCT
ejpam-5851	891	4	x.	x.	PROPN
ejpam-5851	891	5	w.	w.	PROPN
ejpam-5851	891	6	yan	yan	PROPN
ejpam-5851	891	7	,	,	PUNCT
ejpam-5851	891	8	s.	s.	PROPN
ejpam-5851	891	9	f.	f.	PROPN
ejpam-5851	891	10	tian	tian	PROPN
ejpam-5851	891	11	,	,	PUNCT
ejpam-5851	891	12	m.	m.	PROPN
ejpam-5851	891	13	j.	j.	PROPN
ejpam-5851	891	14	dong	dong	PROPN
ejpam-5851	891	15	,	,	PUNCT
ejpam-5851	891	16	l.	l.	PROPN
ejpam-5851	891	17	zhou	zhou	PROPN
ejpam-5851	891	18	,	,	PUNCT
ejpam-5851	891	19	and	and	CCONJ
ejpam-5851	891	20	t.	t.	PROPN
ejpam-5851	891	21	t.	t.	PROPN
ejpam-5851	891	22	zhang	zhang	PROPN
ejpam-5851	891	23	.	.	PUNCT
ejpam-5851	891	24	characteristics	characteristic	NOUN
ejpam-5851	891	25	of	of	ADP
ejpam-5851	891	26	solitary	solitary	PROPN
ejpam-5851	891	27	b.	b.	PROPN
ejpam-5851	891	28	ceesay	ceesay	PROPN
ejpam-5851	891	29	et	et	PROPN
ejpam-5851	891	30	al	al	PROPN
ejpam-5851	891	31	.	.	PUNCT
ejpam-5851	891	32	/	/	SYM
ejpam-5851	891	33	eur	eur	PROPN
ejpam-5851	891	34	.	.	PUNCT
ejpam-5851	892	1	j.	j.	PROPN
ejpam-5851	892	2	pure	pure	PROPN
ejpam-5851	892	3	appl	appl	PROPN
ejpam-5851	892	4	.	.	PROPN
ejpam-5851	892	5	math	math	PROPN
ejpam-5851	892	6	,	,	PUNCT
ejpam-5851	892	7	18	18	NUM
ejpam-5851	892	8	(	(	PUNCT
ejpam-5851	892	9	2	2	NUM
ejpam-5851	892	10	)	)	PUNCT
ejpam-5851	892	11	(	(	PUNCT
ejpam-5851	892	12	2025	2025	NUM
ejpam-5851	892	13	)	)	PUNCT
ejpam-5851	892	14	,	,	PUNCT
ejpam-5851	892	15	5851	5851	NUM
ejpam-5851	892	16	32	32	NUM
ejpam-5851	892	17	of	of	ADP
ejpam-5851	892	18	32	32	NUM
ejpam-5851	892	19	wave	wave	NOUN
ejpam-5851	892	20	,	,	PUNCT
ejpam-5851	892	21	homoclinic	homoclinic	ADJ
ejpam-5851	892	22	breather	breather	NOUN
ejpam-5851	892	23	wave	wave	NOUN
ejpam-5851	892	24	and	and	CCONJ
ejpam-5851	892	25	rogue	rogue	NOUN
ejpam-5851	892	26	wave	wave	NOUN
ejpam-5851	892	27	solutions	solution	NOUN
ejpam-5851	892	28	in	in	ADP
ejpam-5851	892	29	a	a	DET
ejpam-5851	892	30	(	(	PUNCT
ejpam-5851	892	31	2	2	NUM
ejpam-5851	892	32	+	+	NOUN
ejpam-5851	892	33	1)-dimensional	1)-dimensional	ADJ
ejpam-5851	892	34	generalized	generalized	ADJ
ejpam-5851	892	35	breaking	break	VERB
ejpam-5851	892	36	soliton	soliton	NOUN
ejpam-5851	892	37	equation	equation	NOUN
ejpam-5851	892	38	.	.	PUNCT
ejpam-5851	893	1	computers	computer	NOUN
ejpam-5851	893	2	and	and	CCONJ
ejpam-5851	893	3	mathematics	mathematic	NOUN
ejpam-5851	893	4	with	with	ADP
ejpam-5851	893	5	applications	application	NOUN
ejpam-5851	893	6	,	,	PUNCT
ejpam-5851	893	7	76(1):179	76(1):179	NOUN
ejpam-5851	893	8	–	–	PUNCT
ejpam-5851	893	9	186	186	NUM
ejpam-5851	893	10	,	,	PUNCT
ejpam-5851	893	11	2018	2018	NUM
ejpam-5851	893	12	.	.	PUNCT
ejpam-5851	894	1	[	[	X
ejpam-5851	894	2	43	43	NUM
ejpam-5851	894	3	]	]	PUNCT
ejpam-5851	894	4	s.	s.	PROPN
ejpam-5851	894	5	kumar	kumar	PROPN
ejpam-5851	894	6	and	and	CCONJ
ejpam-5851	894	7	b.	b.	PROPN
ejpam-5851	894	8	mohan	mohan	PROPN
ejpam-5851	894	9	.	.	PUNCT
ejpam-5851	895	1	a	a	DET
ejpam-5851	895	2	novel	novel	ADJ
ejpam-5851	895	3	and	and	CCONJ
ejpam-5851	895	4	efficient	efficient	ADJ
ejpam-5851	895	5	method	method	NOUN
ejpam-5851	895	6	for	for	ADP
ejpam-5851	895	7	obtaining	obtain	VERB
ejpam-5851	895	8	hirota	hirota	PROPN
ejpam-5851	895	9	’s	’s	PART
ejpam-5851	895	10	bilinear	bilinear	NOUN
ejpam-5851	895	11	form	form	NOUN
ejpam-5851	895	12	for	for	ADP
ejpam-5851	895	13	the	the	DET
ejpam-5851	895	14	nonlinear	nonlinear	ADJ
ejpam-5851	895	15	evolution	evolution	NOUN
ejpam-5851	895	16	equation	equation	NOUN
ejpam-5851	895	17	in	in	ADP
ejpam-5851	895	18	(	(	PUNCT
ejpam-5851	895	19	n+	n+	NOUN
ejpam-5851	895	20	1	1	NUM
ejpam-5851	895	21	)	)	PUNCT
ejpam-5851	895	22	dimensions	dimension	NOUN
ejpam-5851	895	23	.	.	PUNCT
ejpam-5851	896	1	partial	partial	ADJ
ejpam-5851	896	2	differential	differential	ADJ
ejpam-5851	896	3	equations	equation	NOUN
ejpam-5851	896	4	in	in	ADP
ejpam-5851	896	5	applied	applied	ADJ
ejpam-5851	896	6	mathematics	mathematic	NOUN
ejpam-5851	896	7	,	,	PUNCT
ejpam-5851	896	8	5:100274	5:100274	NUM
ejpam-5851	896	9	,	,	PUNCT
ejpam-5851	896	10	2022	2022	NUM
ejpam-5851	896	11	.	.	PUNCT
ejpam-5851	897	1	[	[	X
ejpam-5851	897	2	44	44	NUM
ejpam-5851	897	3	]	]	PUNCT
ejpam-5851	897	4	s.	s.	PROPN
ejpam-5851	897	5	a.	a.	PROPN
ejpam-5851	897	6	alsallami	alsallami	PROPN
ejpam-5851	897	7	,	,	PUNCT
ejpam-5851	897	8	s.	s.	PROPN
ejpam-5851	897	9	t.	t.	PROPN
ejpam-5851	897	10	rizvi	rizvi	PROPN
ejpam-5851	897	11	,	,	PUNCT
ejpam-5851	897	12	and	and	CCONJ
ejpam-5851	897	13	a.	a.	PROPN
ejpam-5851	897	14	r.	r.	PROPN
ejpam-5851	897	15	seadawy	seadawy	PROPN
ejpam-5851	897	16	.	.	PUNCT
ejpam-5851	898	1	study	study	NOUN
ejpam-5851	898	2	of	of	ADP
ejpam-5851	898	3	stochastic	stochastic	ADJ
ejpam-5851	898	4	–	–	PUNCT
ejpam-5851	898	5	fractional	fractional	ADJ
ejpam-5851	898	6	drinfel’d	drinfel’d	NOUN
ejpam-5851	898	7	–	–	PUNCT
ejpam-5851	898	8	sokolov	sokolov	ADJ
ejpam-5851	898	9	–	–	PUNCT
ejpam-5851	898	10	wilson	wilson	PROPN
ejpam-5851	898	11	equation	equation	NOUN
ejpam-5851	898	12	for	for	ADP
ejpam-5851	898	13	m	m	ADV
ejpam-5851	898	14	-	-	PUNCT
ejpam-5851	898	15	shaped	shape	VERB
ejpam-5851	898	16	rational	rational	ADJ
ejpam-5851	898	17	,	,	PUNCT
ejpam-5851	898	18	homoclinic	homoclinic	ADJ
ejpam-5851	898	19	breather	breather	NOUN
ejpam-5851	898	20	,	,	PUNCT
ejpam-5851	898	21	periodic	periodic	ADJ
ejpam-5851	898	22	and	and	CCONJ
ejpam-5851	898	23	kink	kink	NOUN
ejpam-5851	898	24	-	-	PUNCT
ejpam-5851	898	25	cross	cross	ADJ
ejpam-5851	898	26	rational	rational	ADJ
ejpam-5851	898	27	solutions	solution	NOUN
ejpam-5851	898	28	.	.	PUNCT
ejpam-5851	899	1	mathematics	mathematic	NOUN
ejpam-5851	899	2	,	,	PUNCT
ejpam-5851	899	3	11(6):1504	11(6):1504	NUM
ejpam-5851	899	4	,	,	PUNCT
ejpam-5851	899	5	2023	2023	NUM
ejpam-5851	899	6	.	.	PUNCT
ejpam-5851	900	1	[	[	X
ejpam-5851	900	2	45	45	NUM
ejpam-5851	900	3	]	]	PUNCT
ejpam-5851	900	4	t.	t.	NOUN
ejpam-5851	900	5	mathanaranjan	mathanaranjan	PROPN
ejpam-5851	900	6	and	and	CCONJ
ejpam-5851	900	7	r.	r.	PROPN
ejpam-5851	900	8	myrzakulov	myrzakulov	PROPN
ejpam-5851	900	9	.	.	PUNCT
ejpam-5851	901	1	integrable	integrable	ADJ
ejpam-5851	901	2	akbota	akbota	ADJ
ejpam-5851	901	3	equation	equation	NOUN
ejpam-5851	901	4	:	:	PUNCT
ejpam-5851	901	5	conservation	conservation	NOUN
ejpam-5851	901	6	laws	law	NOUN
ejpam-5851	901	7	,	,	PUNCT
ejpam-5851	901	8	optical	optical	ADJ
ejpam-5851	901	9	soliton	soliton	NOUN
ejpam-5851	901	10	solutions	solution	NOUN
ejpam-5851	901	11	and	and	CCONJ
ejpam-5851	901	12	stability	stability	NOUN
ejpam-5851	901	13	analysis	analysis	NOUN
ejpam-5851	901	14	.	.	PUNCT
ejpam-5851	902	1	optical	optical	ADJ
ejpam-5851	902	2	and	and	CCONJ
ejpam-5851	902	3	quantum	quantum	ADJ
ejpam-5851	902	4	electronics	electronic	NOUN
ejpam-5851	902	5	,	,	PUNCT
ejpam-5851	902	6	56(4):564	56(4):564	NOUN
ejpam-5851	902	7	,	,	PUNCT
ejpam-5851	902	8	2024	2024	NUM
ejpam-5851	902	9	.	.	PUNCT
ejpam-5851	903	1	[	[	X
ejpam-5851	903	2	46	46	NUM
ejpam-5851	903	3	]	]	X
ejpam-5851	903	4	h.	h.	PROPN
ejpam-5851	903	5	y.	y.	PROPN
ejpam-5851	903	6	kong	kong	PROPN
ejpam-5851	903	7	and	and	CCONJ
ejpam-5851	903	8	r.	r.	PROPN
ejpam-5851	903	9	guo	guo	PROPN
ejpam-5851	903	10	.	.	PUNCT
ejpam-5851	904	1	dynamic	dynamic	ADJ
ejpam-5851	904	2	behaviors	behavior	NOUN
ejpam-5851	904	3	of	of	ADP
ejpam-5851	904	4	novel	novel	ADJ
ejpam-5851	904	5	nonlinear	nonlinear	ADJ
ejpam-5851	904	6	wave	wave	NOUN
ejpam-5851	904	7	solutions	solution	NOUN
ejpam-5851	904	8	for	for	ADP
ejpam-5851	904	9	the	the	DET
ejpam-5851	904	10	akbota	akbota	ADJ
ejpam-5851	904	11	equation	equation	NOUN
ejpam-5851	904	12	.	.	PUNCT
ejpam-5851	905	1	optik	optik	PROPN
ejpam-5851	905	2	,	,	PUNCT
ejpam-5851	905	3	282:170863	282:170863	NUM
ejpam-5851	905	4	,	,	PUNCT
ejpam-5851	905	5	2023	2023	NUM
ejpam-5851	905	6	.	.	PUNCT
ejpam-5851	906	1	[	[	X
ejpam-5851	906	2	47	47	NUM
ejpam-5851	906	3	]	]	PUNCT
ejpam-5851	906	4	m.	m.	PROPN
ejpam-5851	906	5	s.	s.	PROPN
ejpam-5851	906	6	khan	khan	PROPN
ejpam-5851	906	7	,	,	PUNCT
ejpam-5851	906	8	r.	r.	PROPN
ejpam-5851	906	9	king	king	PROPN
ejpam-5851	906	10	,	,	PUNCT
ejpam-5851	906	11	and	and	CCONJ
ejpam-5851	906	12	i.	i.	PROPN
ejpam-5851	906	13	l.	l.	PROPN
ejpam-5851	906	14	hudson	hudson	PROPN
ejpam-5851	906	15	.	.	PUNCT
ejpam-5851	907	1	transmuted	transmute	VERB
ejpam-5851	907	2	modified	modified	ADJ
ejpam-5851	907	3	weibull	weibull	NOUN
ejpam-5851	907	4	distribution	distribution	NOUN
ejpam-5851	907	5	:	:	PUNCT
ejpam-5851	907	6	properties	property	NOUN
ejpam-5851	907	7	and	and	CCONJ
ejpam-5851	907	8	application	application	NOUN
ejpam-5851	907	9	.	.	PUNCT
ejpam-5851	908	1	european	european	ADJ
ejpam-5851	908	2	journal	journal	PROPN
ejpam-5851	908	3	of	of	ADP
ejpam-5851	908	4	pure	pure	ADJ
ejpam-5851	908	5	and	and	CCONJ
ejpam-5851	908	6	applied	applied	ADJ
ejpam-5851	908	7	mathematics	mathematic	NOUN
ejpam-5851	908	8	,	,	PUNCT
ejpam-5851	908	9	11(2):362–374	11(2):362–374	NUM
ejpam-5851	908	10	,	,	PUNCT
ejpam-5851	908	11	2018	2018	NUM
ejpam-5851	908	12	.	.	PUNCT
ejpam-5851	909	1	[	[	X
ejpam-5851	909	2	48	48	NUM
ejpam-5851	909	3	]	]	PUNCT
ejpam-5851	909	4	l.	l.	PROPN
ejpam-5851	909	5	marsavina	marsavina	PROPN
ejpam-5851	909	6	,	,	PUNCT
ejpam-5851	909	7	a.	a.	PROPN
ejpam-5851	909	8	d.	d.	PROPN
ejpam-5851	909	9	nurse	nurse	PROPN
ejpam-5851	909	10	,	,	PUNCT
ejpam-5851	909	11	l.	l.	PROPN
ejpam-5851	909	12	braescu	braescu	PROPN
ejpam-5851	909	13	,	,	PUNCT
ejpam-5851	909	14	and	and	CCONJ
ejpam-5851	909	15	e.	e.	PROPN
ejpam-5851	909	16	m.	m.	PROPN
ejpam-5851	909	17	craciun	craciun	PROPN
ejpam-5851	909	18	.	.	PUNCT
ejpam-5851	910	1	stress	stress	NOUN
ejpam-5851	910	2	singularity	singularity	NOUN
ejpam-5851	910	3	of	of	ADP
ejpam-5851	910	4	symmetric	symmetric	ADJ
ejpam-5851	910	5	free	free	ADJ
ejpam-5851	910	6	-	-	PUNCT
ejpam-5851	910	7	edge	edge	NOUN
ejpam-5851	910	8	joints	joint	NOUN
ejpam-5851	910	9	with	with	ADP
ejpam-5851	910	10	elasto	elasto	NOUN
ejpam-5851	910	11	-	-	PUNCT
ejpam-5851	910	12	plastic	plastic	NOUN
ejpam-5851	910	13	behaviour	behaviour	NOUN
ejpam-5851	910	14	.	.	PUNCT
ejpam-5851	911	1	computational	computational	ADJ
ejpam-5851	911	2	materials	material	NOUN
ejpam-5851	911	3	science	science	NOUN
ejpam-5851	911	4	,	,	PUNCT
ejpam-5851	911	5	52(1):282	52(1):282	NUM
ejpam-5851	911	6	–	–	PUNCT
ejpam-5851	911	7	286	286	NUM
ejpam-5851	911	8	,	,	PUNCT
ejpam-5851	911	9	2012	2012	NUM
ejpam-5851	911	10	.	.	PUNCT
ejpam-5851	912	1	[	[	X
ejpam-5851	912	2	49	49	NUM
ejpam-5851	912	3	]	]	PUNCT
ejpam-5851	912	4	z.	z.	PROPN
ejpam-5851	912	5	li	li	PROPN
ejpam-5851	912	6	and	and	CCONJ
ejpam-5851	912	7	s.	s.	PROPN
ejpam-5851	912	8	zhao	zhao	PROPN
ejpam-5851	912	9	.	.	PUNCT
ejpam-5851	913	1	bifurcation	bifurcation	NOUN
ejpam-5851	913	2	,	,	PUNCT
ejpam-5851	913	3	chaotic	chaotic	ADJ
ejpam-5851	913	4	behavior	behavior	NOUN
ejpam-5851	913	5	and	and	CCONJ
ejpam-5851	913	6	solitary	solitary	ADJ
ejpam-5851	913	7	wave	wave	NOUN
ejpam-5851	913	8	solutions	solution	NOUN
ejpam-5851	913	9	for	for	ADP
ejpam-5851	913	10	the	the	DET
ejpam-5851	913	11	akbota	akbota	ADJ
ejpam-5851	913	12	equation	equation	NOUN
ejpam-5851	913	13	.	.	PUNCT
ejpam-5851	914	1	aims	aim	VERB
ejpam-5851	914	2	mathematics	mathematic	NOUN
ejpam-5851	914	3	,	,	PUNCT
ejpam-5851	914	4	9(8):22590–22601	9(8):22590–22601	NUM
ejpam-5851	914	5	,	,	PUNCT
ejpam-5851	914	6	2024	2024	NUM
ejpam-5851	914	7	.	.	PUNCT
ejpam-5851	915	1	[	[	X
ejpam-5851	915	2	50	50	NUM
ejpam-5851	915	3	]	]	PUNCT
ejpam-5851	915	4	m.	m.	NOUN
ejpam-5851	915	5	m.	m.	PROPN
ejpam-5851	915	6	tariq	tariq	PROPN
ejpam-5851	915	7	,	,	PUNCT
ejpam-5851	915	8	m.	m.	PROPN
ejpam-5851	915	9	b.	b.	PROPN
ejpam-5851	915	10	riaz	riaz	PROPN
ejpam-5851	915	11	,	,	PUNCT
ejpam-5851	915	12	and	and	CCONJ
ejpam-5851	915	13	m.	m.	PROPN
ejpam-5851	915	14	aziz	aziz	PROPN
ejpam-5851	915	15	ur	ur	PROPN
ejpam-5851	915	16	rehman	rehman	PROPN
ejpam-5851	915	17	.	.	PUNCT
ejpam-5851	916	1	investigation	investigation	NOUN
ejpam-5851	916	2	of	of	ADP
ejpam-5851	916	3	space	space	NOUN
ejpam-5851	916	4	-	-	PUNCT
ejpam-5851	916	5	time	time	NOUN
ejpam-5851	916	6	dynamics	dynamic	NOUN
ejpam-5851	916	7	of	of	ADP
ejpam-5851	916	8	akbota	akbota	ADJ
ejpam-5851	916	9	equation	equation	NOUN
ejpam-5851	916	10	using	use	VERB
ejpam-5851	916	11	sardar	sardar	PROPN
ejpam-5851	916	12	sub	sub	NOUN
ejpam-5851	916	13	-	-	NOUN
ejpam-5851	916	14	equation	equation	NOUN
ejpam-5851	916	15	and	and	CCONJ
ejpam-5851	916	16	khater	khater	NOUN
ejpam-5851	916	17	methods	method	NOUN
ejpam-5851	916	18	:	:	PUNCT
ejpam-5851	916	19	unveiling	unveil	VERB
ejpam-5851	916	20	bifurcation	bifurcation	NOUN
ejpam-5851	916	21	and	and	CCONJ
ejpam-5851	916	22	chaotic	chaotic	ADJ
ejpam-5851	916	23	structure	structure	NOUN
ejpam-5851	916	24	.	.	PUNCT
ejpam-5851	917	1	international	international	ADJ
ejpam-5851	917	2	journal	journal	PROPN
ejpam-5851	917	3	of	of	ADP
ejpam-5851	917	4	theoretical	theoretical	ADJ
ejpam-5851	917	5	physics	physics	NOUN
ejpam-5851	917	6	,	,	PUNCT
ejpam-5851	917	7	63(8):213	63(8):213	PROPN
ejpam-5851	917	8	,	,	PUNCT
ejpam-5851	917	9	2024	2024	NUM
ejpam-5851	917	10	.	.	PUNCT
ejpam-5851	918	1	[	[	X
ejpam-5851	918	2	51	51	NUM
ejpam-5851	918	3	]	]	PUNCT
ejpam-5851	918	4	m.	m.	NOUN
ejpam-5851	918	5	awadalla	awadalla	NOUN
ejpam-5851	918	6	,	,	PUNCT
ejpam-5851	918	7	a.	a.	PROPN
ejpam-5851	918	8	taishiyeva	taishiyeva	PROPN
ejpam-5851	918	9	,	,	PUNCT
ejpam-5851	918	10	r.	r.	PROPN
ejpam-5851	918	11	myrzakulov	myrzakulov	PROPN
ejpam-5851	918	12	,	,	PUNCT
ejpam-5851	918	13	j.	j.	PROPN
ejpam-5851	918	14	alahmadi	alahmadi	PROPN
ejpam-5851	918	15	,	,	PUNCT
ejpam-5851	918	16	a.	a.	NOUN
ejpam-5851	918	17	a.	a.	NOUN
ejpam-5851	918	18	zaagan	zaagan	PROPN
ejpam-5851	918	19	,	,	PUNCT
ejpam-5851	918	20	and	and	CCONJ
ejpam-5851	918	21	a.	a.	NOUN
ejpam-5851	918	22	bekir	bekir	PROPN
ejpam-5851	918	23	.	.	PUNCT
ejpam-5851	919	1	exact	exact	ADJ
ejpam-5851	919	2	analytical	analytical	ADJ
ejpam-5851	919	3	soliton	soliton	NOUN
ejpam-5851	919	4	solutions	solution	NOUN
ejpam-5851	919	5	of	of	ADP
ejpam-5851	919	6	the	the	DET
ejpam-5851	919	7	m	m	NOUN
ejpam-5851	919	8	-	-	PUNCT
ejpam-5851	919	9	fractional	fractional	ADJ
ejpam-5851	919	10	akbota	akbota	ADJ
ejpam-5851	919	11	equation	equation	NOUN
ejpam-5851	919	12	.	.	PUNCT
ejpam-5851	920	1	scientific	scientific	ADJ
ejpam-5851	920	2	reports	report	NOUN
ejpam-5851	920	3	,	,	PUNCT
ejpam-5851	920	4	14(1):13360	14(1):13360	NUM
ejpam-5851	920	5	,	,	PUNCT
ejpam-5851	920	6	2024	2024	NUM
ejpam-5851	920	7	.	.	PUNCT
ejpam-5851	921	1	[	[	X
ejpam-5851	921	2	52	52	NUM
ejpam-5851	921	3	]	]	PUNCT
ejpam-5851	921	4	w.	w.	PROPN
ejpam-5851	921	5	a.	a.	NOUN
ejpam-5851	921	6	faridi	faridi	PROPN
ejpam-5851	921	7	,	,	PUNCT
ejpam-5851	921	8	m.	m.	NOUN
ejpam-5851	921	9	a.	a.	NOUN
ejpam-5851	921	10	bakar	bakar	PROPN
ejpam-5851	921	11	,	,	PUNCT
ejpam-5851	921	12	m.	m.	PROPN
ejpam-5851	921	13	b.	b.	PROPN
ejpam-5851	921	14	riaz	riaz	PROPN
ejpam-5851	921	15	,	,	PUNCT
ejpam-5851	921	16	z.	z.	PROPN
ejpam-5851	921	17	myrzakulova	myrzakulova	PROPN
ejpam-5851	921	18	,	,	PUNCT
ejpam-5851	921	19	r.	r.	PROPN
ejpam-5851	921	20	myrzakulov	myrzakulov	PROPN
ejpam-5851	921	21	,	,	PUNCT
ejpam-5851	921	22	and	and	CCONJ
ejpam-5851	921	23	a.	a.	PROPN
ejpam-5851	921	24	m.	m.	PROPN
ejpam-5851	921	25	mostafa	mostafa	PROPN
ejpam-5851	921	26	.	.	PUNCT
ejpam-5851	922	1	exploring	explore	VERB
ejpam-5851	922	2	the	the	DET
ejpam-5851	922	3	optical	optical	ADJ
ejpam-5851	922	4	soliton	soliton	NOUN
ejpam-5851	922	5	solutions	solution	NOUN
ejpam-5851	922	6	of	of	ADP
ejpam-5851	922	7	heisenberg	heisenberg	PROPN
ejpam-5851	922	8	ferromagnet	ferromagnet	NOUN
ejpam-5851	922	9	-	-	PUNCT
ejpam-5851	922	10	type	type	NOUN
ejpam-5851	922	11	of	of	ADP
ejpam-5851	922	12	akbota	akbota	ADJ
ejpam-5851	922	13	equation	equation	NOUN
ejpam-5851	922	14	arising	arise	VERB
ejpam-5851	922	15	in	in	ADP
ejpam-5851	922	16	surface	surface	NOUN
ejpam-5851	922	17	geometry	geometry	NOUN
ejpam-5851	922	18	by	by	ADP
ejpam-5851	922	19	explicit	explicit	ADJ
ejpam-5851	922	20	approach	approach	NOUN
ejpam-5851	922	21	.	.	PUNCT
ejpam-5851	923	1	optical	optical	ADJ
ejpam-5851	923	2	and	and	CCONJ
ejpam-5851	923	3	quantum	quantum	NOUN
ejpam-5851	923	4	electronics	electronic	NOUN
ejpam-5851	923	5	,	,	PUNCT
ejpam-5851	923	6	56(6):1046	56(6):1046	NUM
ejpam-5851	923	7	,	,	PUNCT
ejpam-5851	923	8	2024	2024	NUM
ejpam-5851	923	9	.	.	PUNCT
ejpam-5851	924	1	[	[	X
ejpam-5851	924	2	53	53	NUM
ejpam-5851	924	3	]	]	PUNCT
ejpam-5851	924	4	b.	b.	PROPN
ejpam-5851	924	5	ceesay	ceesay	PROPN
ejpam-5851	924	6	,	,	PUNCT
ejpam-5851	924	7	n.	n.	PROPN
ejpam-5851	924	8	ahmed	ahmed	PROPN
ejpam-5851	924	9	,	,	PUNCT
ejpam-5851	924	10	and	and	CCONJ
ejpam-5851	924	11	j.	j.	PROPN
ejpam-5851	924	12	e.	e.	PROPN
ejpam-5851	924	13	maćıas	maćıas	PROPN
ejpam-5851	924	14	-	-	PUNCT
ejpam-5851	924	15	dı́az	dı́az	NOUN
ejpam-5851	924	16	.	.	PUNCT
ejpam-5851	925	1	construction	construction	NOUN
ejpam-5851	925	2	of	of	ADP
ejpam-5851	925	3	m	m	NOUN
ejpam-5851	925	4	-	-	PUNCT
ejpam-5851	925	5	shaped	shape	VERB
ejpam-5851	925	6	solitons	soliton	NOUN
ejpam-5851	925	7	for	for	ADP
ejpam-5851	925	8	a	a	DET
ejpam-5851	925	9	modified	modify	VERB
ejpam-5851	925	10	regularized	regularize	VERB
ejpam-5851	925	11	long	long	ADJ
ejpam-5851	925	12	-	-	PUNCT
ejpam-5851	925	13	wave	wave	NOUN
ejpam-5851	925	14	equation	equation	NOUN
ejpam-5851	925	15	via	via	ADP
ejpam-5851	925	16	hirota	hirota	PROPN
ejpam-5851	925	17	’s	’s	PART
ejpam-5851	925	18	bilinear	bilinear	PROPN
ejpam-5851	925	19	method	method	NOUN
ejpam-5851	925	20	.	.	PUNCT
ejpam-5851	926	1	open	open	ADJ
ejpam-5851	926	2	physics	physics	PROPN
ejpam-5851	926	3	,	,	PUNCT
ejpam-5851	926	4	22(1):20240057	22(1):20240057	NUM
ejpam-5851	926	5	,	,	PUNCT
ejpam-5851	926	6	2024	2024	NUM
ejpam-5851	926	7	.	.	PUNCT
ejpam-5851	927	1	[	[	X
ejpam-5851	927	2	54	54	NUM
ejpam-5851	927	3	]	]	PUNCT
ejpam-5851	927	4	b.	b.	PROPN
ejpam-5851	927	5	ceesay	ceesay	PROPN
ejpam-5851	927	6	,	,	PUNCT
ejpam-5851	927	7	n.	n.	PROPN
ejpam-5851	927	8	ahmed	ahmed	PROPN
ejpam-5851	927	9	,	,	PUNCT
ejpam-5851	927	10	m.	m.	NOUN
ejpam-5851	927	11	z.	z.	PROPN
ejpam-5851	927	12	baber	baber	PROPN
ejpam-5851	927	13	,	,	PUNCT
ejpam-5851	927	14	and	and	CCONJ
ejpam-5851	927	15	a.	a.	PROPN
ejpam-5851	927	16	akgül	akgül	PROPN
ejpam-5851	927	17	.	.	PUNCT
ejpam-5851	927	18	breather	breather	PROPN
ejpam-5851	927	19	,	,	PUNCT
ejpam-5851	927	20	lump	lump	NOUN
ejpam-5851	927	21	,	,	PUNCT
ejpam-5851	927	22	m	m	NOUN
ejpam-5851	927	23	-	-	NOUN
ejpam-5851	927	24	shape	shape	NOUN
ejpam-5851	927	25	and	and	CCONJ
ejpam-5851	927	26	other	other	ADJ
ejpam-5851	927	27	interaction	interaction	NOUN
ejpam-5851	927	28	for	for	ADP
ejpam-5851	927	29	the	the	DET
ejpam-5851	927	30	poisson	poisson	NOUN
ejpam-5851	927	31	–	–	PUNCT
ejpam-5851	927	32	nernst	nernst	PROPN
ejpam-5851	927	33	–	–	PUNCT
ejpam-5851	927	34	planck	planck	NOUN
ejpam-5851	927	35	equation	equation	NOUN
ejpam-5851	927	36	in	in	ADP
ejpam-5851	927	37	biological	biological	ADJ
ejpam-5851	927	38	membranes	membrane	NOUN
ejpam-5851	927	39	.	.	PUNCT
ejpam-5851	928	1	optical	optical	ADJ
ejpam-5851	928	2	and	and	CCONJ
ejpam-5851	928	3	quantum	quantum	ADJ
ejpam-5851	928	4	electronics	electronic	NOUN
ejpam-5851	928	5	,	,	PUNCT
ejpam-5851	928	6	56(5):853	56(5):853	NUM
ejpam-5851	928	7	,	,	PUNCT
ejpam-5851	928	8	2024	2024	NUM
ejpam-5851	928	9	.	.	PUNCT
ejpam-5851	929	1	[	[	X
ejpam-5851	929	2	55	55	NUM
ejpam-5851	929	3	]	]	X
ejpam-5851	929	4	d.	d.	PROPN
ejpam-5851	929	5	u.	u.	PROPN
ejpam-5851	929	6	ozsahin	ozsahin	PROPN
ejpam-5851	929	7	,	,	PUNCT
ejpam-5851	929	8	b.	b.	PROPN
ejpam-5851	929	9	ceesay	ceesay	PROPN
ejpam-5851	929	10	,	,	PUNCT
ejpam-5851	929	11	m.	m.	NOUN
ejpam-5851	929	12	z.	z.	PROPN
ejpam-5851	929	13	baber	baber	PROPN
ejpam-5851	929	14	,	,	PUNCT
ejpam-5851	929	15	n.	n.	PROPN
ejpam-5851	929	16	ahmed	ahmed	PROPN
ejpam-5851	929	17	,	,	PUNCT
ejpam-5851	929	18	a.	a.	NOUN
ejpam-5851	929	19	raza	raza	PROPN
ejpam-5851	929	20	,	,	PUNCT
ejpam-5851	929	21	m.	m.	PROPN
ejpam-5851	929	22	rafiq	rafiq	PROPN
ejpam-5851	929	23	,	,	PUNCT
ejpam-5851	929	24	et	et	PROPN
ejpam-5851	929	25	al	al	PROPN
ejpam-5851	929	26	.	.	PUNCT
ejpam-5851	929	27	multiwaves	multiwave	NOUN
ejpam-5851	929	28	,	,	PUNCT
ejpam-5851	929	29	breathers	breather	NOUN
ejpam-5851	929	30	,	,	PUNCT
ejpam-5851	929	31	lump	lump	NOUN
ejpam-5851	929	32	and	and	CCONJ
ejpam-5851	929	33	other	other	ADJ
ejpam-5851	929	34	solutions	solution	NOUN
ejpam-5851	929	35	for	for	ADP
ejpam-5851	929	36	the	the	DET
ejpam-5851	929	37	heimburg	heimburg	NOUN
ejpam-5851	929	38	model	model	NOUN
ejpam-5851	929	39	in	in	ADP
ejpam-5851	929	40	biomembranes	biomembrane	NOUN
ejpam-5851	929	41	and	and	CCONJ
ejpam-5851	929	42	nerves	nerve	NOUN
ejpam-5851	929	43	.	.	PUNCT
ejpam-5851	930	1	scientific	scientific	ADJ
ejpam-5851	930	2	reports	report	NOUN
ejpam-5851	930	3	,	,	PUNCT
ejpam-5851	930	4	14(1):10180	14(1):10180	NUM
ejpam-5851	930	5	,	,	PUNCT
ejpam-5851	930	6	2024	2024	NUM
ejpam-5851	930	7	.	.	PUNCT