id	sid	tid	token	lemma	pos
ejpam-6490	1	1	european	european	PROPN
ejpam-6490	1	2	journal	journal	PROPN
ejpam-6490	1	3	of	of	ADP
ejpam-6490	1	4	pure	pure	ADJ
ejpam-6490	1	5	and	and	CCONJ
ejpam-6490	1	6	applied	applied	ADJ
ejpam-6490	1	7	mathematics	mathematic	NOUN
ejpam-6490	1	8	2025	2025	NUM
ejpam-6490	1	9	,	,	PUNCT
ejpam-6490	1	10	vol	vol	NOUN
ejpam-6490	1	11	.	.	PROPN
ejpam-6490	1	12	18	18	NUM
ejpam-6490	1	13	,	,	PUNCT
ejpam-6490	1	14	issue	issue	NOUN
ejpam-6490	1	15	3	3	NUM
ejpam-6490	1	16	,	,	PUNCT
ejpam-6490	1	17	article	article	NOUN
ejpam-6490	1	18	number	number	NOUN
ejpam-6490	1	19	6490	6490	NUM
ejpam-6490	1	20	issn	issn	PROPN
ejpam-6490	1	21	1307	1307	NUM
ejpam-6490	1	22	-	-	SYM
ejpam-6490	1	23	5543	5543	NUM
ejpam-6490	1	24	–	–	PUNCT
ejpam-6490	2	1	ejpam.com	ejpam.com	X
ejpam-6490	2	2	published	publish	VERB
ejpam-6490	2	3	by	by	ADP
ejpam-6490	2	4	new	new	PROPN
ejpam-6490	2	5	york	york	PROPN
ejpam-6490	2	6	business	business	PROPN
ejpam-6490	2	7	global	global	ADJ
ejpam-6490	2	8	innovative	innovative	ADJ
ejpam-6490	2	9	solitary	solitary	ADJ
ejpam-6490	2	10	wave	wave	NOUN
ejpam-6490	2	11	solutions	solution	NOUN
ejpam-6490	2	12	for	for	ADP
ejpam-6490	2	13	the	the	DET
ejpam-6490	2	14	(	(	PUNCT
ejpam-6490	2	15	3	3	NUM
ejpam-6490	2	16	+	+	NOUN
ejpam-6490	2	17	1)-dimensional	1)-dimensional	ADJ
ejpam-6490	2	18	boussinesq	boussinesq	ADJ
ejpam-6490	2	19	kadomtsev	kadomtsev	VERB
ejpam-6490	2	20	-	-	PUNCT
ejpam-6490	2	21	petviashvili	petviashvili	ADJ
ejpam-6490	2	22	-	-	PUNCT
ejpam-6490	2	23	type	type	NOUN
ejpam-6490	2	24	equation	equation	NOUN
ejpam-6490	2	25	derived	derive	VERB
ejpam-6490	2	26	via	via	ADP
ejpam-6490	2	27	the	the	DET
ejpam-6490	2	28	improved	improve	VERB
ejpam-6490	2	29	modified	modify	VERB
ejpam-6490	2	30	extended	extended	ADJ
ejpam-6490	2	31	tanh	tanh	NOUN
ejpam-6490	2	32	-	-	PUNCT
ejpam-6490	2	33	function	function	NOUN
ejpam-6490	2	34	method	method	NOUN
ejpam-6490	2	35	wael	wael	PROPN
ejpam-6490	2	36	w.	w.	PROPN
ejpam-6490	2	37	mohammed1	mohammed1	PROPN
ejpam-6490	2	38	,	,	PUNCT
ejpam-6490	2	39	abeer	abeer	PROPN
ejpam-6490	2	40	s.	s.	PROPN
ejpam-6490	2	41	khalifa2	khalifa2	PROPN
ejpam-6490	2	42	,	,	PUNCT
ejpam-6490	2	43	hijyah	hijyah	PROPN
ejpam-6490	2	44	alshammary1	alshammary1	PROPN
ejpam-6490	2	45	,	,	PUNCT
ejpam-6490	2	46	hamdy	hamdy	PROPN
ejpam-6490	2	47	m.	m.	PROPN
ejpam-6490	2	48	ahmed3	ahmed3	PROPN
ejpam-6490	2	49	,	,	PUNCT
ejpam-6490	2	50	mohamed	mohamed	PROPN
ejpam-6490	2	51	s.	s.	PROPN
ejpam-6490	2	52	algolam1	algolam1	PROPN
ejpam-6490	2	53	,	,	PUNCT
ejpam-6490	2	54	reda	reda	PROPN
ejpam-6490	2	55	elbarougy4	elbarougy4	PROPN
ejpam-6490	2	56	,	,	PUNCT
ejpam-6490	2	57	karim	karim	PROPN
ejpam-6490	2	58	k.	k.	PROPN
ejpam-6490	2	59	ahmed5,∗	ahmed5,∗	VERB
ejpam-6490	2	60	1	1	NUM
ejpam-6490	2	61	department	department	NOUN
ejpam-6490	2	62	of	of	ADP
ejpam-6490	2	63	mathematics	mathematic	NOUN
ejpam-6490	2	64	,	,	PUNCT
ejpam-6490	2	65	college	college	NOUN
ejpam-6490	2	66	of	of	ADP
ejpam-6490	2	67	science	science	NOUN
ejpam-6490	2	68	,	,	PUNCT
ejpam-6490	2	69	university	university	NOUN
ejpam-6490	2	70	of	of	ADP
ejpam-6490	2	71	ha’il	ha’il	PROPN
ejpam-6490	2	72	,	,	PUNCT
ejpam-6490	2	73	ha’il	ha’il	PROPN
ejpam-6490	2	74	2440	2440	NUM
ejpam-6490	2	75	,	,	PUNCT
ejpam-6490	2	76	saudi	saudi	PROPN
ejpam-6490	2	77	arabia	arabia	PROPN
ejpam-6490	2	78	2	2	NUM
ejpam-6490	2	79	department	department	NOUN
ejpam-6490	2	80	of	of	ADP
ejpam-6490	2	81	mathematics	mathematic	NOUN
ejpam-6490	2	82	,	,	PUNCT
ejpam-6490	2	83	faculty	faculty	NOUN
ejpam-6490	2	84	of	of	ADP
ejpam-6490	2	85	basic	basic	ADJ
ejpam-6490	2	86	sciences	science	NOUN
ejpam-6490	2	87	,	,	PUNCT
ejpam-6490	2	88	the	the	DET
ejpam-6490	2	89	german	german	ADJ
ejpam-6490	2	90	university	university	NOUN
ejpam-6490	2	91	in	in	ADP
ejpam-6490	2	92	cairo	cairo	PROPN
ejpam-6490	2	93	(	(	PUNCT
ejpam-6490	2	94	guc	guc	PROPN
ejpam-6490	2	95	)	)	PUNCT
ejpam-6490	2	96	,	,	PUNCT
ejpam-6490	2	97	cairo	cairo	PROPN
ejpam-6490	2	98	,	,	PUNCT
ejpam-6490	2	99	egypt	egypt	PROPN
ejpam-6490	2	100	3	3	NUM
ejpam-6490	2	101	department	department	PROPN
ejpam-6490	2	102	of	of	ADP
ejpam-6490	2	103	physics	physics	PROPN
ejpam-6490	2	104	and	and	CCONJ
ejpam-6490	2	105	engineering	engineering	NOUN
ejpam-6490	2	106	mathematics	mathematic	NOUN
ejpam-6490	2	107	,	,	PUNCT
ejpam-6490	2	108	higher	high	ADJ
ejpam-6490	2	109	institute	institute	PROPN
ejpam-6490	2	110	of	of	ADP
ejpam-6490	2	111	engineering	engineering	PROPN
ejpam-6490	2	112	,	,	PUNCT
ejpam-6490	2	113	el	el	PROPN
ejpam-6490	2	114	shorouk	shorouk	PROPN
ejpam-6490	2	115	academy	academy	PROPN
ejpam-6490	2	116	,	,	PUNCT
ejpam-6490	2	117	cairo	cairo	PROPN
ejpam-6490	2	118	,	,	PUNCT
ejpam-6490	2	119	egypt	egypt	PROPN
ejpam-6490	2	120	4	4	NUM
ejpam-6490	2	121	department	department	NOUN
ejpam-6490	2	122	of	of	ADP
ejpam-6490	2	123	artificial	artificial	ADJ
ejpam-6490	2	124	intelligence	intelligence	NOUN
ejpam-6490	2	125	and	and	CCONJ
ejpam-6490	2	126	data	datum	NOUN
ejpam-6490	2	127	science	science	NOUN
ejpam-6490	2	128	,	,	PUNCT
ejpam-6490	2	129	college	college	NOUN
ejpam-6490	2	130	of	of	ADP
ejpam-6490	2	131	computer	computer	NOUN
ejpam-6490	2	132	science	science	NOUN
ejpam-6490	2	133	and	and	CCONJ
ejpam-6490	2	134	engineering	engineering	NOUN
ejpam-6490	2	135	,	,	PUNCT
ejpam-6490	2	136	university	university	NOUN
ejpam-6490	2	137	of	of	ADP
ejpam-6490	2	138	ha’il	ha’il	PROPN
ejpam-6490	2	139	,	,	PUNCT
ejpam-6490	2	140	saudi	saudi	PROPN
ejpam-6490	2	141	arabia	arabia	PROPN
ejpam-6490	2	142	5	5	NUM
ejpam-6490	2	143	department	department	NOUN
ejpam-6490	2	144	of	of	ADP
ejpam-6490	2	145	mathematics	mathematic	NOUN
ejpam-6490	2	146	,	,	PUNCT
ejpam-6490	2	147	faculty	faculty	NOUN
ejpam-6490	2	148	of	of	ADP
ejpam-6490	2	149	engineering	engineering	NOUN
ejpam-6490	2	150	,	,	PUNCT
ejpam-6490	2	151	german	german	ADJ
ejpam-6490	2	152	international	international	PROPN
ejpam-6490	2	153	university	university	PROPN
ejpam-6490	2	154	(	(	PUNCT
ejpam-6490	2	155	giu	giu	PROPN
ejpam-6490	2	156	)	)	PUNCT
ejpam-6490	2	157	,	,	PUNCT
ejpam-6490	2	158	new	new	ADJ
ejpam-6490	2	159	administrative	administrative	ADJ
ejpam-6490	2	160	capital	capital	NOUN
ejpam-6490	2	161	,	,	PUNCT
ejpam-6490	2	162	cairo	cairo	PROPN
ejpam-6490	2	163	,	,	PUNCT
ejpam-6490	2	164	egypt	egypt	PROPN
ejpam-6490	2	165	abstract	abstract	PROPN
ejpam-6490	2	166	.	.	PUNCT
ejpam-6490	3	1	the	the	DET
ejpam-6490	3	2	goal	goal	NOUN
ejpam-6490	3	3	of	of	ADP
ejpam-6490	3	4	this	this	DET
ejpam-6490	3	5	research	research	NOUN
ejpam-6490	3	6	is	be	AUX
ejpam-6490	3	7	to	to	PART
ejpam-6490	3	8	create	create	VERB
ejpam-6490	3	9	and	and	CCONJ
ejpam-6490	3	10	analyze	analyze	VERB
ejpam-6490	3	11	a	a	DET
ejpam-6490	3	12	novel	novel	NOUN
ejpam-6490	3	13	(	(	PUNCT
ejpam-6490	3	14	3	3	NUM
ejpam-6490	3	15	+	+	NOUN
ejpam-6490	3	16	1	1	NUM
ejpam-6490	3	17	)	)	PUNCT
ejpam-6490	3	18	dimensional	dimensional	ADJ
ejpam-6490	3	19	model	model	NOUN
ejpam-6490	3	20	that	that	PRON
ejpam-6490	3	21	incorporates	incorporate	VERB
ejpam-6490	3	22	two	two	NUM
ejpam-6490	3	23	different	different	ADJ
ejpam-6490	3	24	equations	equation	NOUN
ejpam-6490	3	25	:	:	PUNCT
ejpam-6490	3	26	a	a	DET
ejpam-6490	3	27	three	three	NUM
ejpam-6490	3	28	-	-	PUNCT
ejpam-6490	3	29	dimensional	dimensional	ADJ
ejpam-6490	3	30	kadomtsev	kadomtsev	ADJ
ejpam-6490	3	31	-	-	PUNCT
ejpam-6490	3	32	petviashvili	petviashvili	NOUN
ejpam-6490	3	33	equation	equation	NOUN
ejpam-6490	3	34	and	and	CCONJ
ejpam-6490	3	35	a	a	DET
ejpam-6490	3	36	three	three	NUM
ejpam-6490	3	37	-	-	PUNCT
ejpam-6490	3	38	dimensional	dimensional	ADJ
ejpam-6490	3	39	boussinesq	boussinesq	ADJ
ejpam-6490	3	40	-	-	PUNCT
ejpam-6490	3	41	kp	kp	ADJ
ejpam-6490	3	42	-	-	PUNCT
ejpam-6490	3	43	type	type	NOUN
ejpam-6490	3	44	equation	equation	NOUN
ejpam-6490	3	45	.	.	PUNCT
ejpam-6490	4	1	one	one	NUM
ejpam-6490	4	2	of	of	ADP
ejpam-6490	4	3	the	the	DET
ejpam-6490	4	4	unexpected	unexpected	ADJ
ejpam-6490	4	5	outcomes	outcome	NOUN
ejpam-6490	4	6	of	of	ADP
ejpam-6490	4	7	the	the	DET
ejpam-6490	4	8	idea	idea	NOUN
ejpam-6490	4	9	of	of	ADP
ejpam-6490	4	10	mixing	mix	VERB
ejpam-6490	4	11	integrable	integrable	ADJ
ejpam-6490	4	12	equations	equation	NOUN
ejpam-6490	4	13	is	be	AUX
ejpam-6490	4	14	a	a	DET
ejpam-6490	4	15	resonance	resonance	NOUN
ejpam-6490	4	16	of	of	ADP
ejpam-6490	4	17	solitons	soliton	NOUN
ejpam-6490	4	18	.	.	PUNCT
ejpam-6490	5	1	this	this	DET
ejpam-6490	5	2	paper	paper	NOUN
ejpam-6490	5	3	presents	present	VERB
ejpam-6490	5	4	a	a	DET
ejpam-6490	5	5	wide	wide	ADJ
ejpam-6490	5	6	range	range	NOUN
ejpam-6490	5	7	of	of	ADP
ejpam-6490	5	8	possible	possible	ADJ
ejpam-6490	5	9	analytical	analytical	ADJ
ejpam-6490	5	10	solutions	solution	NOUN
ejpam-6490	5	11	for	for	ADP
ejpam-6490	5	12	the	the	DET
ejpam-6490	5	13	pkp	pkp	PROPN
ejpam-6490	5	14	–	–	PUNCT
ejpam-6490	5	15	bkp	bkp	NOUN
ejpam-6490	5	16	equation	equation	NOUN
ejpam-6490	5	17	in	in	ADP
ejpam-6490	5	18	(	(	PUNCT
ejpam-6490	5	19	3	3	NUM
ejpam-6490	5	20	+	+	NOUN
ejpam-6490	5	21	1)-dimensions	1)-dimensions	NUM
ejpam-6490	5	22	,	,	PUNCT
ejpam-6490	5	23	including	include	VERB
ejpam-6490	5	24	dark	dark	ADJ
ejpam-6490	5	25	,	,	PUNCT
ejpam-6490	5	26	bright	bright	ADJ
ejpam-6490	5	27	,	,	PUNCT
ejpam-6490	5	28	singular	singular	ADJ
ejpam-6490	5	29	solitons	soliton	NOUN
ejpam-6490	5	30	,	,	PUNCT
ejpam-6490	5	31	and	and	CCONJ
ejpam-6490	5	32	other	other	ADJ
ejpam-6490	5	33	exact	exact	ADJ
ejpam-6490	5	34	solutions	solution	NOUN
ejpam-6490	5	35	like	like	ADP
ejpam-6490	5	36	singular	singular	PROPN
ejpam-6490	5	37	periodic	periodic	NOUN
ejpam-6490	5	38	,	,	PUNCT
ejpam-6490	5	39	jacobi	jacobi	PROPN
ejpam-6490	5	40	elliptic	elliptic	ADJ
ejpam-6490	5	41	function	function	NOUN
ejpam-6490	5	42	,	,	PUNCT
ejpam-6490	5	43	rational	rational	ADJ
ejpam-6490	5	44	,	,	PUNCT
ejpam-6490	5	45	and	and	CCONJ
ejpam-6490	5	46	exponential	exponential	ADJ
ejpam-6490	5	47	type	type	NOUN
ejpam-6490	5	48	.	.	PUNCT
ejpam-6490	6	1	the	the	DET
ejpam-6490	6	2	(	(	PUNCT
ejpam-6490	6	3	3	3	NUM
ejpam-6490	6	4	+	+	PROPN
ejpam-6490	6	5	1)-dimensional	1)-dimensional	PROPN
ejpam-6490	6	6	b	b	X
ejpam-6490	6	7	-	-	PUNCT
ejpam-6490	6	8	kp	kp	ADJ
ejpam-6490	6	9	-	-	PUNCT
ejpam-6490	6	10	type	type	NOUN
ejpam-6490	6	11	model	model	NOUN
ejpam-6490	6	12	is	be	AUX
ejpam-6490	6	13	subjected	subject	VERB
ejpam-6490	6	14	to	to	ADP
ejpam-6490	6	15	the	the	DET
ejpam-6490	6	16	improved	improve	VERB
ejpam-6490	6	17	modified	modify	VERB
ejpam-6490	6	18	extended	extended	ADJ
ejpam-6490	6	19	tanh	tanh	NOUN
ejpam-6490	6	20	-	-	PUNCT
ejpam-6490	6	21	function	function	NOUN
ejpam-6490	6	22	approach	approach	NOUN
ejpam-6490	6	23	in	in	ADP
ejpam-6490	6	24	order	order	NOUN
ejpam-6490	6	25	to	to	PART
ejpam-6490	6	26	obtain	obtain	VERB
ejpam-6490	6	27	novel	novel	ADJ
ejpam-6490	6	28	traveling	travel	VERB
ejpam-6490	6	29	wave	wave	NOUN
ejpam-6490	6	30	solutions	solution	NOUN
ejpam-6490	6	31	.	.	PUNCT
ejpam-6490	7	1	the	the	DET
ejpam-6490	7	2	employed	employ	VERB
ejpam-6490	7	3	equation	equation	NOUN
ejpam-6490	7	4	plays	play	VERB
ejpam-6490	7	5	a	a	DET
ejpam-6490	7	6	crucial	crucial	ADJ
ejpam-6490	7	7	role	role	NOUN
ejpam-6490	7	8	in	in	ADP
ejpam-6490	7	9	describing	describe	VERB
ejpam-6490	7	10	and	and	CCONJ
ejpam-6490	7	11	interpreting	interpret	VERB
ejpam-6490	7	12	a	a	DET
ejpam-6490	7	13	broad	broad	ADJ
ejpam-6490	7	14	range	range	NOUN
ejpam-6490	7	15	of	of	ADP
ejpam-6490	7	16	nonlinear	nonlinear	ADJ
ejpam-6490	7	17	phenomena	phenomenon	NOUN
ejpam-6490	7	18	seen	see	VERB
ejpam-6490	7	19	in	in	ADP
ejpam-6490	7	20	fluid	fluid	ADJ
ejpam-6490	7	21	mechanics	mechanic	NOUN
ejpam-6490	7	22	and	and	CCONJ
ejpam-6490	7	23	other	other	ADJ
ejpam-6490	7	24	nonlinear	nonlinear	ADJ
ejpam-6490	7	25	engineering	engineering	NOUN
ejpam-6490	7	26	and	and	CCONJ
ejpam-6490	7	27	physics	physics	NOUN
ejpam-6490	7	28	issues	issue	NOUN
ejpam-6490	7	29	due	due	ADP
ejpam-6490	7	30	to	to	ADP
ejpam-6490	7	31	the	the	DET
ejpam-6490	7	32	strong	strong	ADJ
ejpam-6490	7	33	correlation	correlation	NOUN
ejpam-6490	7	34	and	and	CCONJ
ejpam-6490	7	35	wide	wide	ADJ
ejpam-6490	7	36	range	range	NOUN
ejpam-6490	7	37	of	of	ADP
ejpam-6490	7	38	applications	application	NOUN
ejpam-6490	7	39	of	of	ADP
ejpam-6490	7	40	the	the	DET
ejpam-6490	7	41	boussinesq	boussinesq	ADJ
ejpam-6490	7	42	-	-	PUNCT
ejpam-6490	7	43	type	type	NOUN
ejpam-6490	7	44	and	and	CCONJ
ejpam-6490	7	45	kp	kp	PROPN
ejpam-6490	7	46	equations	equation	NOUN
ejpam-6490	7	47	.	.	PUNCT
ejpam-6490	8	1	the	the	DET
ejpam-6490	8	2	approach	approach	NOUN
ejpam-6490	8	3	can	can	AUX
ejpam-6490	8	4	help	help	VERB
ejpam-6490	8	5	to	to	PART
ejpam-6490	8	6	find	find	VERB
ejpam-6490	8	7	other	other	ADJ
ejpam-6490	8	8	kinds	kind	NOUN
ejpam-6490	8	9	of	of	ADP
ejpam-6490	8	10	solutions	solution	NOUN
ejpam-6490	8	11	to	to	ADP
ejpam-6490	8	12	the	the	DET
ejpam-6490	8	13	chosen	choose	VERB
ejpam-6490	8	14	equation	equation	NOUN
ejpam-6490	8	15	that	that	PRON
ejpam-6490	8	16	have	have	AUX
ejpam-6490	8	17	not	not	PART
ejpam-6490	8	18	been	be	AUX
ejpam-6490	8	19	found	find	VERB
ejpam-6490	8	20	and	and	CCONJ
ejpam-6490	8	21	published	publish	VERB
ejpam-6490	8	22	in	in	ADP
ejpam-6490	8	23	the	the	DET
ejpam-6490	8	24	literature	literature	NOUN
ejpam-6490	8	25	before	before	ADV
ejpam-6490	8	26	.	.	PUNCT
ejpam-6490	9	1	these	these	DET
ejpam-6490	9	2	solutions	solution	NOUN
ejpam-6490	9	3	can	can	AUX
ejpam-6490	9	4	aid	aid	VERB
ejpam-6490	9	5	in	in	ADP
ejpam-6490	9	6	the	the	DET
ejpam-6490	9	7	comprehension	comprehension	NOUN
ejpam-6490	9	8	of	of	ADP
ejpam-6490	9	9	wave	wave	NOUN
ejpam-6490	9	10	propagation	propagation	NOUN
ejpam-6490	9	11	in	in	ADP
ejpam-6490	9	12	water	water	NOUN
ejpam-6490	9	13	wave	wave	NOUN
ejpam-6490	9	14	dynamics	dynamic	NOUN
ejpam-6490	9	15	.	.	PUNCT
ejpam-6490	10	1	to	to	PART
ejpam-6490	10	2	further	far	ADV
ejpam-6490	10	3	facilitate	facilitate	VERB
ejpam-6490	10	4	learning	learn	VERB
ejpam-6490	10	5	,	,	PUNCT
ejpam-6490	10	6	they	they	PRON
ejpam-6490	10	7	are	be	AUX
ejpam-6490	10	8	replicated	replicate	VERB
ejpam-6490	10	9	through	through	ADP
ejpam-6490	10	10	the	the	DET
ejpam-6490	10	11	use	use	NOUN
ejpam-6490	10	12	of	of	ADP
ejpam-6490	10	13	contour	contour	NOUN
ejpam-6490	10	14	graphics	graphic	NOUN
ejpam-6490	10	15	,	,	PUNCT
ejpam-6490	10	16	2d	2d	NOUN
ejpam-6490	10	17	,	,	PUNCT
ejpam-6490	10	18	and	and	CCONJ
ejpam-6490	10	19	3d	3d	NUM
ejpam-6490	10	20	symbolic	symbolic	ADJ
ejpam-6490	10	21	calculations	calculation	NOUN
ejpam-6490	10	22	.	.	PUNCT
ejpam-6490	11	1	moreover	moreover	ADV
ejpam-6490	11	2	,	,	PUNCT
ejpam-6490	11	3	linear	linear	ADJ
ejpam-6490	11	4	stability	stability	NOUN
ejpam-6490	11	5	analysis	analysis	NOUN
ejpam-6490	11	6	is	be	AUX
ejpam-6490	11	7	discussed	discuss	VERB
ejpam-6490	11	8	for	for	ADP
ejpam-6490	11	9	the	the	DET
ejpam-6490	11	10	obtained	obtain	VERB
ejpam-6490	11	11	solutions	solution	NOUN
ejpam-6490	11	12	.	.	PUNCT
ejpam-6490	12	1	2020	2020	NUM
ejpam-6490	12	2	mathematics	mathematic	NOUN
ejpam-6490	12	3	subject	subject	NOUN
ejpam-6490	12	4	classifications	classification	NOUN
ejpam-6490	12	5	:	:	PUNCT
ejpam-6490	12	6	35c05	35c05	NUM
ejpam-6490	12	7	,	,	PUNCT
ejpam-6490	12	8	35c07	35c07	NUM
ejpam-6490	12	9	,	,	PUNCT
ejpam-6490	12	10	35c08	35c08	NUM
ejpam-6490	12	11	key	key	ADJ
ejpam-6490	12	12	words	word	NOUN
ejpam-6490	12	13	and	and	CCONJ
ejpam-6490	12	14	phrases	phrase	NOUN
ejpam-6490	12	15	:	:	PUNCT
ejpam-6490	12	16	soliton	soliton	NOUN
ejpam-6490	12	17	solutions	solution	NOUN
ejpam-6490	12	18	,	,	PUNCT
ejpam-6490	12	19	boussinesq	boussinesq	ADJ
ejpam-6490	12	20	-	-	PUNCT
ejpam-6490	12	21	type	type	NOUN
ejpam-6490	12	22	equation	equation	NOUN
ejpam-6490	12	23	,	,	PUNCT
ejpam-6490	12	24	kadomtsev	kadomtsev	NOUN
ejpam-6490	12	25	-	-	PUNCT
ejpam-6490	12	26	petviashvili	petviashvili	NOUN
ejpam-6490	12	27	equation	equation	NOUN
ejpam-6490	12	28	,	,	PUNCT
ejpam-6490	12	29	npdes	npde	NOUN
ejpam-6490	12	30	,	,	PUNCT
ejpam-6490	12	31	linear	linear	ADJ
ejpam-6490	12	32	stability	stability	NOUN
ejpam-6490	12	33	analysis	analysis	NOUN
ejpam-6490	12	34	∗corresponding	∗corresponde	VERB
ejpam-6490	12	35	author	author	NOUN
ejpam-6490	12	36	.	.	PUNCT
ejpam-6490	13	1	doi	doi	NOUN
ejpam-6490	13	2	:	:	PUNCT
ejpam-6490	13	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6490	https://doi.org/10.29020/nybg.ejpam.v18i3.6490	ADJ
ejpam-6490	13	4	email	email	NOUN
ejpam-6490	13	5	addresses	address	NOUN
ejpam-6490	13	6	:	:	PUNCT
ejpam-6490	13	7	karim.kamal.502@gmail.com	karim.kamal.502@gmail.com	PROPN
ejpam-6490	13	8	(	(	PUNCT
ejpam-6490	13	9	k.	k.	PROPN
ejpam-6490	13	10	k.	k.	PROPN
ejpam-6490	13	11	ahmed	ahmed	PROPN
ejpam-6490	13	12	)	)	PUNCT
ejpam-6490	13	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6490	14	1	1	1	NUM
ejpam-6490	14	2	copyright	copyright	NOUN
ejpam-6490	14	3	:	:	PUNCT
ejpam-6490	14	4	©	©	PROPN
ejpam-6490	14	5	2025	2025	NUM
ejpam-6490	14	6	the	the	DET
ejpam-6490	14	7	author(s	author(s	NOUN
ejpam-6490	14	8	)	)	PUNCT
ejpam-6490	14	9	.	.	PUNCT
ejpam-6490	15	1	(	(	PUNCT
ejpam-6490	15	2	cc	cc	NOUN
ejpam-6490	15	3	by	by	ADP
ejpam-6490	15	4	-	-	PUNCT
ejpam-6490	15	5	nc	nc	PROPN
ejpam-6490	15	6	4.0	4.0	NUM
ejpam-6490	15	7	)	)	PUNCT
ejpam-6490	15	8	w.	w.	PROPN
ejpam-6490	15	9	w.	w.	PROPN
ejpam-6490	15	10	mohammed	mohammed	PROPN
ejpam-6490	15	11	et	et	PROPN
ejpam-6490	15	12	al	al	PROPN
ejpam-6490	15	13	.	.	PUNCT
ejpam-6490	15	14	/	/	SYM
ejpam-6490	15	15	eur	eur	PROPN
ejpam-6490	15	16	.	.	PUNCT
ejpam-6490	16	1	j.	j.	PROPN
ejpam-6490	16	2	pure	pure	PROPN
ejpam-6490	16	3	appl	appl	PROPN
ejpam-6490	16	4	.	.	PROPN
ejpam-6490	16	5	math	math	PROPN
ejpam-6490	16	6	,	,	PUNCT
ejpam-6490	16	7	18	18	NUM
ejpam-6490	16	8	(	(	PUNCT
ejpam-6490	16	9	3	3	NUM
ejpam-6490	16	10	)	)	PUNCT
ejpam-6490	16	11	(	(	PUNCT
ejpam-6490	16	12	2025	2025	NUM
ejpam-6490	16	13	)	)	PUNCT
ejpam-6490	16	14	,	,	PUNCT
ejpam-6490	16	15	6490	6490	NUM
ejpam-6490	16	16	2	2	NUM
ejpam-6490	16	17	of	of	ADP
ejpam-6490	16	18	23	23	NUM
ejpam-6490	16	19	1	1	NUM
ejpam-6490	16	20	.	.	PUNCT
ejpam-6490	17	1	introduction	introduction	NOUN
ejpam-6490	17	2	a	a	DET
ejpam-6490	17	3	variety	variety	NOUN
ejpam-6490	17	4	of	of	ADP
ejpam-6490	17	5	nonlinear	nonlinear	ADJ
ejpam-6490	17	6	evolution	evolution	NOUN
ejpam-6490	17	7	equations	equation	NOUN
ejpam-6490	17	8	,	,	PUNCT
ejpam-6490	17	9	such	such	ADJ
ejpam-6490	17	10	as	as	ADP
ejpam-6490	17	11	boussinesq	boussinesq	NOUN
ejpam-6490	17	12	,	,	PUNCT
ejpam-6490	17	13	kadomtsev	kadomtsev	ADJ
ejpam-6490	17	14	–	–	PUNCT
ejpam-6490	17	15	petviashvili	petviashvili	ADJ
ejpam-6490	17	16	,	,	PUNCT
ejpam-6490	17	17	and	and	CCONJ
ejpam-6490	17	18	nonlinear	nonlinear	ADJ
ejpam-6490	17	19	schrödinger	schrödinger	NOUN
ejpam-6490	17	20	-	-	PUNCT
ejpam-6490	17	21	type	type	NOUN
ejpam-6490	17	22	models	model	NOUN
ejpam-6490	17	23	,	,	PUNCT
ejpam-6490	17	24	are	be	AUX
ejpam-6490	17	25	examined	examine	VERB
ejpam-6490	17	26	in	in	ADP
ejpam-6490	17	27	some	some	DET
ejpam-6490	17	28	latest	late	ADJ
ejpam-6490	17	29	research	research	NOUN
ejpam-6490	17	30	,	,	PUNCT
ejpam-6490	17	31	with	with	ADP
ejpam-6490	17	32	an	an	DET
ejpam-6490	17	33	emphasis	emphasis	NOUN
ejpam-6490	17	34	on	on	ADP
ejpam-6490	17	35	building	build	VERB
ejpam-6490	17	36	precise	precise	ADJ
ejpam-6490	17	37	soliton	soliton	NOUN
ejpam-6490	17	38	and	and	CCONJ
ejpam-6490	17	39	wave	wave	NOUN
ejpam-6490	17	40	solutions	solution	NOUN
ejpam-6490	17	41	by	by	ADP
ejpam-6490	17	42	analytical	analytical	ADJ
ejpam-6490	17	43	techniques	technique	NOUN
ejpam-6490	17	44	[	[	X
ejpam-6490	17	45	1–5	1–5	X
ejpam-6490	17	46	]	]	X
ejpam-6490	17	47	.	.	PUNCT
ejpam-6490	18	1	modeling	model	VERB
ejpam-6490	18	2	nonlinear	nonlinear	ADJ
ejpam-6490	18	3	wave	wave	NOUN
ejpam-6490	18	4	propagation	propagation	NOUN
ejpam-6490	18	5	,	,	PUNCT
ejpam-6490	18	6	optical	optical	ADJ
ejpam-6490	18	7	solitons	soliton	NOUN
ejpam-6490	18	8	,	,	PUNCT
ejpam-6490	18	9	and	and	CCONJ
ejpam-6490	18	10	interaction	interaction	NOUN
ejpam-6490	18	11	dynamics	dynamic	NOUN
ejpam-6490	18	12	in	in	ADP
ejpam-6490	18	13	a	a	DET
ejpam-6490	18	14	variety	variety	NOUN
ejpam-6490	18	15	of	of	ADP
ejpam-6490	18	16	physical	physical	ADJ
ejpam-6490	18	17	media	medium	NOUN
ejpam-6490	18	18	,	,	PUNCT
ejpam-6490	18	19	including	include	VERB
ejpam-6490	18	20	fluids	fluid	NOUN
ejpam-6490	18	21	,	,	PUNCT
ejpam-6490	18	22	birefringent	birefringent	NOUN
ejpam-6490	18	23	fibers	fiber	NOUN
ejpam-6490	18	24	,	,	PUNCT
ejpam-6490	18	25	magneto	magneto	ADJ
ejpam-6490	18	26	-	-	PUNCT
ejpam-6490	18	27	optic	optic	NOUN
ejpam-6490	18	28	waveguides	waveguide	NOUN
ejpam-6490	18	29	,	,	PUNCT
ejpam-6490	18	30	and	and	CCONJ
ejpam-6490	18	31	twincore	twincore	NOUN
ejpam-6490	18	32	couplers	coupler	NOUN
ejpam-6490	18	33	,	,	PUNCT
ejpam-6490	18	34	is	be	AUX
ejpam-6490	18	35	made	make	VERB
ejpam-6490	18	36	easier	easy	ADJ
ejpam-6490	18	37	by	by	ADP
ejpam-6490	18	38	the	the	DET
ejpam-6490	18	39	results	result	NOUN
ejpam-6490	19	1	[	[	X
ejpam-6490	19	2	6–10	6–10	NOUN
ejpam-6490	19	3	]	]	X
ejpam-6490	19	4	.	.	PUNCT
ejpam-6490	20	1	many	many	ADJ
ejpam-6490	20	2	recent	recent	ADJ
ejpam-6490	20	3	researchers	researcher	NOUN
ejpam-6490	20	4	have	have	AUX
ejpam-6490	20	5	committed	commit	VERB
ejpam-6490	20	6	their	their	PRON
ejpam-6490	20	7	efforts	effort	NOUN
ejpam-6490	20	8	to	to	ADP
ejpam-6490	20	9	examining	examine	VERB
ejpam-6490	20	10	the	the	DET
ejpam-6490	20	11	integrability	integrability	NOUN
ejpam-6490	20	12	of	of	ADP
ejpam-6490	20	13	various	various	ADJ
ejpam-6490	20	14	nonlinear	nonlinear	ADJ
ejpam-6490	20	15	evolution	evolution	NOUN
ejpam-6490	20	16	equations	equation	NOUN
ejpam-6490	20	17	using	use	VERB
ejpam-6490	20	18	a	a	DET
ejpam-6490	20	19	variety	variety	NOUN
ejpam-6490	20	20	of	of	ADP
ejpam-6490	20	21	methods	method	NOUN
ejpam-6490	20	22	and	and	CCONJ
ejpam-6490	20	23	techniques	technique	NOUN
ejpam-6490	20	24	because	because	SCONJ
ejpam-6490	20	25	they	they	PRON
ejpam-6490	20	26	recognize	recognize	VERB
ejpam-6490	20	27	the	the	DET
ejpam-6490	20	28	importance	importance	NOUN
ejpam-6490	20	29	and	and	CCONJ
ejpam-6490	20	30	effectiveness	effectiveness	NOUN
ejpam-6490	20	31	of	of	ADP
ejpam-6490	20	32	studying	study	VERB
ejpam-6490	20	33	integrability	integrability	NOUN
ejpam-6490	20	34	prior	prior	ADV
ejpam-6490	20	35	to	to	ADP
ejpam-6490	20	36	analyzing	analyze	VERB
ejpam-6490	20	37	distinct	distinct	ADJ
ejpam-6490	20	38	nonlinear	nonlinear	ADJ
ejpam-6490	20	39	evolution	evolution	NOUN
ejpam-6490	20	40	equations	equation	NOUN
ejpam-6490	20	41	and	and	CCONJ
ejpam-6490	20	42	understanding	understand	VERB
ejpam-6490	20	43	their	their	PRON
ejpam-6490	20	44	unique	unique	ADJ
ejpam-6490	20	45	behavior	behavior	NOUN
ejpam-6490	20	46	.	.	PUNCT
ejpam-6490	21	1	for	for	ADP
ejpam-6490	21	2	example	example	NOUN
ejpam-6490	21	3	,	,	PUNCT
ejpam-6490	21	4	in	in	ADP
ejpam-6490	21	5	[	[	PUNCT
ejpam-6490	21	6	11	11	NUM
ejpam-6490	21	7	]	]	PUNCT
ejpam-6490	21	8	,	,	PUNCT
ejpam-6490	21	9	the	the	DET
ejpam-6490	21	10	painlevé	painlevé	NOUN
ejpam-6490	21	11	property	property	NOUN
ejpam-6490	21	12	for	for	ADP
ejpam-6490	21	13	partial	partial	ADJ
ejpam-6490	21	14	differential	differential	ADJ
ejpam-6490	21	15	equations	equation	NOUN
ejpam-6490	21	16	(	(	PUNCT
ejpam-6490	21	17	pdes	pde	NOUN
ejpam-6490	21	18	)	)	PUNCT
ejpam-6490	21	19	was	be	AUX
ejpam-6490	21	20	explained	explain	VERB
ejpam-6490	21	21	in	in	ADP
ejpam-6490	21	22	detail	detail	NOUN
ejpam-6490	21	23	,	,	PUNCT
ejpam-6490	21	24	and	and	CCONJ
ejpam-6490	21	25	its	its	PRON
ejpam-6490	21	26	significance	significance	NOUN
ejpam-6490	21	27	in	in	ADP
ejpam-6490	21	28	determining	determine	VERB
ejpam-6490	21	29	the	the	DET
ejpam-6490	21	30	integrability	integrability	NOUN
ejpam-6490	21	31	was	be	AUX
ejpam-6490	21	32	illustrated	illustrate	VERB
ejpam-6490	21	33	.	.	PUNCT
ejpam-6490	22	1	the	the	DET
ejpam-6490	22	2	painlevé	painlevé	NOUN
ejpam-6490	22	3	property	property	NOUN
ejpam-6490	22	4	for	for	ADP
ejpam-6490	22	5	the	the	DET
ejpam-6490	22	6	pdes	pde	NOUN
ejpam-6490	22	7	was	be	AUX
ejpam-6490	22	8	explained	explain	VERB
ejpam-6490	22	9	in	in	ADP
ejpam-6490	22	10	detail	detail	NOUN
ejpam-6490	22	11	,	,	PUNCT
ejpam-6490	22	12	and	and	CCONJ
ejpam-6490	22	13	its	its	PRON
ejpam-6490	22	14	significance	significance	NOUN
ejpam-6490	22	15	in	in	ADP
ejpam-6490	22	16	determining	determine	VERB
ejpam-6490	22	17	the	the	DET
ejpam-6490	22	18	integrability	integrability	NOUN
ejpam-6490	22	19	was	be	AUX
ejpam-6490	22	20	illustrated	illustrate	VERB
ejpam-6490	22	21	.	.	PUNCT
ejpam-6490	23	1	the	the	DET
ejpam-6490	23	2	painlevé	painlevé	NOUN
ejpam-6490	23	3	test	test	NOUN
ejpam-6490	23	4	was	be	AUX
ejpam-6490	23	5	utilized	utilize	VERB
ejpam-6490	23	6	by	by	ADP
ejpam-6490	23	7	the	the	DET
ejpam-6490	23	8	authors	author	NOUN
ejpam-6490	23	9	to	to	PART
ejpam-6490	23	10	verify	verify	VERB
ejpam-6490	23	11	the	the	DET
ejpam-6490	23	12	integrability	integrability	NOUN
ejpam-6490	23	13	of	of	ADP
ejpam-6490	23	14	numerous	numerous	ADJ
ejpam-6490	23	15	universal	universal	ADJ
ejpam-6490	23	16	evolution	evolution	NOUN
ejpam-6490	23	17	equations	equation	NOUN
ejpam-6490	23	18	,	,	PUNCT
ejpam-6490	23	19	including	include	VERB
ejpam-6490	23	20	burgers	burger	NOUN
ejpam-6490	23	21	,	,	PUNCT
ejpam-6490	23	22	sine	sine	NOUN
ejpam-6490	23	23	-	-	PUNCT
ejpam-6490	23	24	gordon	gordon	NOUN
ejpam-6490	23	25	,	,	PUNCT
ejpam-6490	23	26	boussinesq	boussinesq	NOUN
ejpam-6490	23	27	(	(	PUNCT
ejpam-6490	23	28	b	b	NOUN
ejpam-6490	23	29	-	-	PUNCT
ejpam-6490	23	30	type	type	NOUN
ejpam-6490	23	31	)	)	PUNCT
ejpam-6490	23	32	,	,	PUNCT
ejpam-6490	23	33	korteweg	korteweg	NOUN
ejpam-6490	23	34	-	-	PUNCT
ejpam-6490	23	35	de	de	PROPN
ejpam-6490	23	36	vries	vries	PROPN
ejpam-6490	23	37	(	(	PUNCT
ejpam-6490	23	38	kdv)-type	kdv)-type	PROPN
ejpam-6490	23	39	,	,	PUNCT
ejpam-6490	23	40	and	and	CCONJ
ejpam-6490	23	41	the	the	DET
ejpam-6490	23	42	kadomtsev	kadomtsev	NOUN
ejpam-6490	23	43	-	-	PUNCT
ejpam-6490	23	44	petviashvili	petviashvili	NOUN
ejpam-6490	23	45	(	(	PUNCT
ejpam-6490	23	46	kp	kp	NOUN
ejpam-6490	23	47	)	)	PUNCT
ejpam-6490	23	48	equations	equation	NOUN
ejpam-6490	23	49	.	.	PUNCT
ejpam-6490	24	1	in	in	ADP
ejpam-6490	24	2	many	many	ADJ
ejpam-6490	24	3	scientific	scientific	ADJ
ejpam-6490	24	4	domains	domain	NOUN
ejpam-6490	24	5	,	,	PUNCT
ejpam-6490	24	6	these	these	DET
ejpam-6490	24	7	equations	equation	NOUN
ejpam-6490	24	8	may	may	AUX
ejpam-6490	24	9	be	be	AUX
ejpam-6490	24	10	used	use	VERB
ejpam-6490	24	11	to	to	PART
ejpam-6490	24	12	mimic	mimic	VERB
ejpam-6490	24	13	a	a	DET
ejpam-6490	24	14	wide	wide	ADJ
ejpam-6490	24	15	range	range	NOUN
ejpam-6490	24	16	of	of	ADP
ejpam-6490	24	17	nonlinear	nonlinear	ADJ
ejpam-6490	24	18	processes	process	NOUN
ejpam-6490	24	19	.	.	PUNCT
ejpam-6490	25	1	several	several	ADJ
ejpam-6490	25	2	studies	study	NOUN
ejpam-6490	25	3	in	in	ADP
ejpam-6490	25	4	the	the	DET
ejpam-6490	25	5	literature	literature	NOUN
ejpam-6490	25	6	have	have	AUX
ejpam-6490	25	7	been	be	AUX
ejpam-6490	25	8	effective	effective	ADJ
ejpam-6490	25	9	in	in	ADP
ejpam-6490	25	10	providing	provide	VERB
ejpam-6490	25	11	an	an	DET
ejpam-6490	25	12	explanation	explanation	NOUN
ejpam-6490	25	13	for	for	ADP
ejpam-6490	25	14	a	a	DET
ejpam-6490	25	15	wide	wide	ADJ
ejpam-6490	25	16	range	range	NOUN
ejpam-6490	25	17	of	of	ADP
ejpam-6490	25	18	nonlinear	nonlinear	ADJ
ejpam-6490	25	19	and	and	CCONJ
ejpam-6490	25	20	enigmatic	enigmatic	ADJ
ejpam-6490	25	21	phenomena	phenomenon	NOUN
ejpam-6490	25	22	that	that	PRON
ejpam-6490	25	23	appear	appear	VERB
ejpam-6490	25	24	in	in	ADP
ejpam-6490	25	25	various	various	ADJ
ejpam-6490	25	26	physical	physical	ADJ
ejpam-6490	25	27	systems	system	NOUN
ejpam-6490	25	28	due	due	ADJ
ejpam-6490	25	29	to	to	ADP
ejpam-6490	25	30	numerous	numerous	ADJ
ejpam-6490	25	31	different	different	ADJ
ejpam-6490	25	32	evolution	evolution	NOUN
ejpam-6490	25	33	equations	equation	NOUN
ejpam-6490	25	34	that	that	PRON
ejpam-6490	25	35	have	have	AUX
ejpam-6490	25	36	been	be	AUX
ejpam-6490	25	37	studied	study	VERB
ejpam-6490	25	38	for	for	ADP
ejpam-6490	25	39	integrability	integrability	NOUN
ejpam-6490	25	40	.	.	PUNCT
ejpam-6490	26	1	for	for	ADP
ejpam-6490	26	2	instance	instance	NOUN
ejpam-6490	26	3	,	,	PUNCT
ejpam-6490	26	4	in	in	ADP
ejpam-6490	26	5	[	[	PUNCT
ejpam-6490	26	6	12	12	NUM
ejpam-6490	26	7	–	–	PUNCT
ejpam-6490	26	8	14	14	NUM
ejpam-6490	26	9	]	]	PUNCT
ejpam-6490	26	10	,	,	PUNCT
ejpam-6490	26	11	the	the	DET
ejpam-6490	26	12	properties	property	NOUN
ejpam-6490	26	13	of	of	ADP
ejpam-6490	26	14	either	either	CCONJ
ejpam-6490	26	15	modulated	modulate	VERB
ejpam-6490	26	16	or	or	CCONJ
ejpam-6490	26	17	unmodulated	unmodulated	ADJ
ejpam-6490	26	18	solitary	solitary	ADJ
ejpam-6490	26	19	waves	wave	NOUN
ejpam-6490	26	20	(	(	PUNCT
ejpam-6490	26	21	sws	sws	NOUN
ejpam-6490	26	22	)	)	PUNCT
ejpam-6490	26	23	and	and	CCONJ
ejpam-6490	26	24	cnoidal	cnoidal	ADJ
ejpam-6490	26	25	waves	wave	NOUN
ejpam-6490	26	26	(	(	PUNCT
ejpam-6490	26	27	cws	cws	PROPN
ejpam-6490	26	28	)	)	PUNCT
ejpam-6490	26	29	that	that	PRON
ejpam-6490	26	30	exist	exist	VERB
ejpam-6490	26	31	in	in	ADP
ejpam-6490	26	32	fluid	fluid	ADJ
ejpam-6490	26	33	mechanics	mechanic	NOUN
ejpam-6490	26	34	,	,	PUNCT
ejpam-6490	26	35	seas	sea	NOUN
ejpam-6490	26	36	,	,	PUNCT
ejpam-6490	26	37	and	and	CCONJ
ejpam-6490	26	38	oceans	ocean	NOUN
ejpam-6490	26	39	,	,	PUNCT
ejpam-6490	26	40	as	as	ADV
ejpam-6490	26	41	well	well	ADV
ejpam-6490	26	42	as	as	ADP
ejpam-6490	26	43	in	in	ADP
ejpam-6490	26	44	narrow	narrow	ADJ
ejpam-6490	26	45	channels	channel	NOUN
ejpam-6490	26	46	,	,	PUNCT
ejpam-6490	26	47	have	have	AUX
ejpam-6490	26	48	been	be	AUX
ejpam-6490	26	49	effectively	effectively	ADV
ejpam-6490	26	50	investigated	investigate	VERB
ejpam-6490	26	51	using	use	VERB
ejpam-6490	26	52	the	the	DET
ejpam-6490	26	53	kdv	kdv	NOUN
ejpam-6490	26	54	-	-	PUNCT
ejpam-6490	26	55	type	type	NOUN
ejpam-6490	26	56	equation	equation	NOUN
ejpam-6490	26	57	and	and	CCONJ
ejpam-6490	26	58	other	other	ADJ
ejpam-6490	26	59	equations	equation	NOUN
ejpam-6490	26	60	(	(	PUNCT
ejpam-6490	26	61	such	such	ADJ
ejpam-6490	26	62	as	as	ADP
ejpam-6490	26	63	the	the	DET
ejpam-6490	26	64	nonlinear	nonlinear	ADJ
ejpam-6490	26	65	schrödinger	schrödinger	NOUN
ejpam-6490	26	66	equation	equation	NOUN
ejpam-6490	26	67	(	(	PUNCT
ejpam-6490	26	68	nlse	nlse	ADJ
ejpam-6490	26	69	)	)	PUNCT
ejpam-6490	26	70	and	and	CCONJ
ejpam-6490	26	71	boussinesq	boussinesq	ADJ
ejpam-6490	26	72	-	-	PUNCT
ejpam-6490	26	73	type	type	NOUN
ejpam-6490	26	74	equations	equation	NOUN
ejpam-6490	26	75	)	)	PUNCT
ejpam-6490	26	76	.	.	PUNCT
ejpam-6490	27	1	these	these	DET
ejpam-6490	27	2	formulas	formula	NOUN
ejpam-6490	27	3	have	have	AUX
ejpam-6490	27	4	also	also	ADV
ejpam-6490	27	5	been	be	AUX
ejpam-6490	27	6	used	use	VERB
ejpam-6490	27	7	to	to	PART
ejpam-6490	27	8	investigate	investigate	VERB
ejpam-6490	27	9	nonlinear	nonlinear	ADJ
ejpam-6490	27	10	optical	optical	ADJ
ejpam-6490	27	11	communications	communication	NOUN
ejpam-6490	27	12	,	,	PUNCT
ejpam-6490	27	13	solitons	soliton	NOUN
ejpam-6490	27	14	,	,	PUNCT
ejpam-6490	27	15	and	and	CCONJ
ejpam-6490	27	16	shocks	shock	NOUN
ejpam-6490	27	17	in	in	ADP
ejpam-6490	27	18	plasma	plasma	NOUN
ejpam-6490	27	19	physics	physic	NOUN
ejpam-6490	27	20	.	.	PUNCT
ejpam-6490	28	1	it	it	PRON
ejpam-6490	28	2	is	be	AUX
ejpam-6490	28	3	established	establish	VERB
ejpam-6490	28	4	that	that	SCONJ
ejpam-6490	28	5	in	in	ADP
ejpam-6490	28	6	the	the	DET
ejpam-6490	28	7	system	system	NOUN
ejpam-6490	28	8	under	under	ADP
ejpam-6490	28	9	study	study	NOUN
ejpam-6490	28	10	,	,	PUNCT
ejpam-6490	28	11	a	a	DET
ejpam-6490	28	12	balance	balance	NOUN
ejpam-6490	28	13	between	between	ADP
ejpam-6490	28	14	nonlinearity	nonlinearity	NOUN
ejpam-6490	28	15	and	and	CCONJ
ejpam-6490	28	16	dispersion	dispersion	NOUN
ejpam-6490	28	17	can	can	AUX
ejpam-6490	28	18	produce	produce	VERB
ejpam-6490	28	19	solitons	soliton	NOUN
ejpam-6490	28	20	.	.	PUNCT
ejpam-6490	29	1	the	the	DET
ejpam-6490	29	2	sws	sws	NOUN
ejpam-6490	29	3	become	become	VERB
ejpam-6490	29	4	shock	shock	NOUN
ejpam-6490	29	5	waves	wave	NOUN
ejpam-6490	29	6	when	when	SCONJ
ejpam-6490	29	7	the	the	DET
ejpam-6490	29	8	dispersion	dispersion	NOUN
ejpam-6490	29	9	and	and	CCONJ
ejpam-6490	29	10	nonlinearity	nonlinearity	NOUN
ejpam-6490	29	11	of	of	ADP
ejpam-6490	29	12	the	the	DET
ejpam-6490	29	13	system	system	NOUN
ejpam-6490	29	14	are	be	AUX
ejpam-6490	29	15	unbalanced	unbalanced	ADJ
ejpam-6490	29	16	.	.	PUNCT
ejpam-6490	30	1	assume	assume	VERB
ejpam-6490	30	2	that	that	SCONJ
ejpam-6490	30	3	the	the	DET
ejpam-6490	30	4	system	system	NOUN
ejpam-6490	30	5	has	have	VERB
ejpam-6490	30	6	a	a	DET
ejpam-6490	30	7	dissipation	dissipation	NOUN
ejpam-6490	30	8	force	force	NOUN
ejpam-6490	30	9	,	,	PUNCT
ejpam-6490	30	10	dispersion	dispersion	NOUN
ejpam-6490	30	11	,	,	PUNCT
ejpam-6490	30	12	and	and	CCONJ
ejpam-6490	30	13	nonlinearity	nonlinearity	NOUN
ejpam-6490	30	14	,	,	PUNCT
ejpam-6490	30	15	and	and	CCONJ
ejpam-6490	30	16	that	that	SCONJ
ejpam-6490	30	17	the	the	DET
ejpam-6490	30	18	dissipation	dissipation	NOUN
ejpam-6490	30	19	force	force	NOUN
ejpam-6490	30	20	predominates	predominate	VERB
ejpam-6490	30	21	over	over	ADP
ejpam-6490	30	22	the	the	DET
ejpam-6490	30	23	dispersion	dispersion	NOUN
ejpam-6490	30	24	.	.	PUNCT
ejpam-6490	31	1	the	the	DET
ejpam-6490	31	2	solitons	soliton	NOUN
ejpam-6490	31	3	will	will	AUX
ejpam-6490	31	4	then	then	ADV
ejpam-6490	31	5	change	change	VERB
ejpam-6490	31	6	into	into	ADP
ejpam-6490	31	7	shock	shock	NOUN
ejpam-6490	31	8	waves	wave	NOUN
ejpam-6490	31	9	in	in	ADP
ejpam-6490	31	10	such	such	ADJ
ejpam-6490	31	11	scenarios	scenario	NOUN
ejpam-6490	31	12	.	.	PUNCT
ejpam-6490	32	1	recent	recent	ADJ
ejpam-6490	32	2	studies	study	NOUN
ejpam-6490	32	3	have	have	AUX
ejpam-6490	32	4	applied	apply	VERB
ejpam-6490	32	5	a	a	DET
ejpam-6490	32	6	host	host	NOUN
ejpam-6490	32	7	of	of	ADP
ejpam-6490	32	8	analysis	analysis	NOUN
ejpam-6490	32	9	techniques	technique	NOUN
ejpam-6490	32	10	to	to	PART
ejpam-6490	32	11	obtain	obtain	VERB
ejpam-6490	32	12	exact	exact	ADJ
ejpam-6490	32	13	solutions	solution	NOUN
ejpam-6490	32	14	of	of	ADP
ejpam-6490	32	15	higher	high	ADJ
ejpam-6490	32	16	-	-	PUNCT
ejpam-6490	32	17	dimensional	dimensional	ADJ
ejpam-6490	32	18	and	and	CCONJ
ejpam-6490	32	19	nonlinear	nonlinear	ADJ
ejpam-6490	32	20	fractional	fractional	ADJ
ejpam-6490	32	21	evolution	evolution	NOUN
ejpam-6490	32	22	equations	equation	NOUN
ejpam-6490	32	23	that	that	PRON
ejpam-6490	32	24	are	be	AUX
ejpam-6490	32	25	significant	significant	ADJ
ejpam-6490	32	26	in	in	ADP
ejpam-6490	32	27	wave	wave	NOUN
ejpam-6490	32	28	dynamics	dynamic	NOUN
ejpam-6490	32	29	and	and	CCONJ
ejpam-6490	32	30	nonlinear	nonlinear	ADJ
ejpam-6490	32	31	optics	optic	NOUN
ejpam-6490	32	32	.	.	PUNCT
ejpam-6490	33	1	for	for	ADP
ejpam-6490	33	2	instance	instance	NOUN
ejpam-6490	33	3	,	,	PUNCT
ejpam-6490	33	4	almatrafi	almatrafi	PRON
ejpam-6490	34	1	[	[	X
ejpam-6490	34	2	15	15	NUM
ejpam-6490	34	3	,	,	PUNCT
ejpam-6490	34	4	16	16	NUM
ejpam-6490	34	5	]	]	PUNCT
ejpam-6490	34	6	applied	apply	VERB
ejpam-6490	34	7	the	the	DET
ejpam-6490	34	8	improved	improve	VERB
ejpam-6490	34	9	modified	modify	VERB
ejpam-6490	34	10	extended	extended	ADJ
ejpam-6490	34	11	tanh	tanh	NOUN
ejpam-6490	34	12	-	-	PUNCT
ejpam-6490	34	13	function	function	NOUN
ejpam-6490	34	14	method	method	NOUN
ejpam-6490	34	15	and	and	CCONJ
ejpam-6490	34	16	other	other	ADJ
ejpam-6490	34	17	analytical	analytical	ADJ
ejpam-6490	34	18	techniques	technique	NOUN
ejpam-6490	34	19	to	to	PART
ejpam-6490	34	20	obtain	obtain	VERB
ejpam-6490	34	21	solitary	solitary	ADJ
ejpam-6490	34	22	wave	wave	NOUN
ejpam-6490	34	23	solutions	solution	NOUN
ejpam-6490	34	24	of	of	ADP
ejpam-6490	34	25	fractional	fractional	ADJ
ejpam-6490	34	26	models	model	NOUN
ejpam-6490	34	27	with	with	ADP
ejpam-6490	34	28	emphasis	emphasis	NOUN
ejpam-6490	34	29	on	on	ADP
ejpam-6490	34	30	lower	lower	ADV
ejpam-6490	34	31	-	-	PUNCT
ejpam-6490	34	32	dimensional	dimensional	ADJ
ejpam-6490	34	33	equations	equation	NOUN
ejpam-6490	34	34	without	without	ADP
ejpam-6490	34	35	taking	take	VERB
ejpam-6490	34	36	into	into	ADP
ejpam-6490	34	37	account	account	NOUN
ejpam-6490	34	38	the	the	DET
ejpam-6490	34	39	additional	additional	ADJ
ejpam-6490	34	40	complexity	complexity	NOUN
ejpam-6490	34	41	arising	arise	VERB
ejpam-6490	34	42	from	from	ADP
ejpam-6490	34	43	higher	high	ADJ
ejpam-6490	34	44	spatial	spatial	ADJ
ejpam-6490	34	45	dimensions	dimension	NOUN
ejpam-6490	34	46	.	.	PUNCT
ejpam-6490	35	1	murad	murad	NOUN
ejpam-6490	35	2	et	et	PROPN
ejpam-6490	35	3	al	al	PROPN
ejpam-6490	35	4	.	.	PUNCT
ejpam-6490	36	1	[	[	X
ejpam-6490	36	2	17	17	NUM
ejpam-6490	36	3	]	]	PUNCT
ejpam-6490	36	4	examined	examine	VERB
ejpam-6490	36	5	the	the	DET
ejpam-6490	36	6	sasa	sasa	NOUN
ejpam-6490	36	7	–	–	PUNCT
ejpam-6490	36	8	satsuma	satsuma	NOUN
ejpam-6490	36	9	equation	equation	NOUN
ejpam-6490	36	10	of	of	ADP
ejpam-6490	36	11	higher	high	ADJ
ejpam-6490	36	12	-	-	PUNCT
ejpam-6490	36	13	order	order	NOUN
ejpam-6490	36	14	time	time	NOUN
ejpam-6490	36	15	-	-	PUNCT
ejpam-6490	36	16	fractional	fractional	ADJ
ejpam-6490	36	17	in	in	ADP
ejpam-6490	36	18	optical	optical	ADJ
ejpam-6490	36	19	fibers	fiber	NOUN
ejpam-6490	36	20	,	,	PUNCT
ejpam-6490	36	21	and	and	CCONJ
ejpam-6490	36	22	younas	youna	NOUN
ejpam-6490	36	23	et	et	PROPN
ejpam-6490	36	24	al	al	PROPN
ejpam-6490	36	25	.	.	PUNCT
ejpam-6490	37	1	[	[	X
ejpam-6490	37	2	18	18	NUM
ejpam-6490	37	3	]	]	PUNCT
ejpam-6490	37	4	considered	consider	VERB
ejpam-6490	37	5	interaction	interaction	NOUN
ejpam-6490	37	6	phenomena	phenomenon	NOUN
ejpam-6490	37	7	in	in	ADP
ejpam-6490	37	8	the	the	DET
ejpam-6490	37	9	(	(	PUNCT
ejpam-6490	37	10	2	2	NUM
ejpam-6490	37	11	+	+	NOUN
ejpam-6490	37	12	1)dimensional	1)dimensional	NUM
ejpam-6490	37	13	kdv	kdv	NOUN
ejpam-6490	37	14	–	–	PUNCT
ejpam-6490	37	15	sawada	sawada	NOUN
ejpam-6490	37	16	–	–	PUNCT
ejpam-6490	37	17	kotera	kotera	NOUN
ejpam-6490	37	18	–	–	PUNCT
ejpam-6490	37	19	ramani	ramani	PROPN
ejpam-6490	37	20	equation	equation	NOUN
ejpam-6490	37	21	.	.	PUNCT
ejpam-6490	38	1	younas	youna	NOUN
ejpam-6490	38	2	et	et	PROPN
ejpam-6490	38	3	al	al	PROPN
ejpam-6490	38	4	.	.	PUNCT
ejpam-6490	39	1	[	[	X
ejpam-6490	39	2	19	19	NUM
ejpam-6490	39	3	,	,	PUNCT
ejpam-6490	39	4	20	20	NUM
ejpam-6490	39	5	]	]	PUNCT
ejpam-6490	39	6	also	also	ADV
ejpam-6490	39	7	discussed	discuss	VERB
ejpam-6490	39	8	soliton	soliton	NOUN
ejpam-6490	39	9	dynamics	dynamic	NOUN
ejpam-6490	39	10	in	in	ADP
ejpam-6490	39	11	optical	optical	ADJ
ejpam-6490	39	12	systems	system	NOUN
ejpam-6490	39	13	and	and	CCONJ
ejpam-6490	39	14	magneto	magneto	NOUN
ejpam-6490	39	15	-	-	PUNCT
ejpam-6490	39	16	electro	electro	ADJ
ejpam-6490	39	17	-	-	PUNCT
ejpam-6490	39	18	elastic	elastic	ADJ
ejpam-6490	39	19	media	medium	NOUN
ejpam-6490	39	20	.	.	PUNCT
ejpam-6490	40	1	however	however	ADV
ejpam-6490	40	2	,	,	PUNCT
ejpam-6490	40	3	these	these	DET
ejpam-6490	40	4	w.	w.	PROPN
ejpam-6490	40	5	w.	w.	PROPN
ejpam-6490	40	6	mohammed	mohammed	PROPN
ejpam-6490	40	7	et	et	PROPN
ejpam-6490	40	8	al	al	PROPN
ejpam-6490	40	9	.	.	PUNCT
ejpam-6490	40	10	/	/	SYM
ejpam-6490	40	11	eur	eur	PROPN
ejpam-6490	40	12	.	.	PUNCT
ejpam-6490	41	1	j.	j.	PROPN
ejpam-6490	41	2	pure	pure	PROPN
ejpam-6490	41	3	appl	appl	PROPN
ejpam-6490	41	4	.	.	PROPN
ejpam-6490	41	5	math	math	PROPN
ejpam-6490	41	6	,	,	PUNCT
ejpam-6490	41	7	18	18	NUM
ejpam-6490	41	8	(	(	PUNCT
ejpam-6490	41	9	3	3	NUM
ejpam-6490	41	10	)	)	PUNCT
ejpam-6490	41	11	(	(	PUNCT
ejpam-6490	41	12	2025	2025	NUM
ejpam-6490	41	13	)	)	PUNCT
ejpam-6490	41	14	,	,	PUNCT
ejpam-6490	41	15	6490	6490	NUM
ejpam-6490	41	16	3	3	NUM
ejpam-6490	41	17	of	of	ADP
ejpam-6490	41	18	23	23	NUM
ejpam-6490	41	19	studies	study	NOUN
ejpam-6490	41	20	were	be	AUX
ejpam-6490	41	21	concentrated	concentrate	VERB
ejpam-6490	41	22	on	on	ADP
ejpam-6490	41	23	specific	specific	ADJ
ejpam-6490	41	24	physical	physical	ADJ
ejpam-6490	41	25	models	model	NOUN
ejpam-6490	41	26	with	with	ADP
ejpam-6490	41	27	a	a	DET
ejpam-6490	41	28	predetermined	predetermined	ADJ
ejpam-6490	41	29	dimensionality	dimensionality	NOUN
ejpam-6490	41	30	or	or	CCONJ
ejpam-6490	41	31	special	special	ADJ
ejpam-6490	41	32	nonlinear	nonlinear	ADJ
ejpam-6490	41	33	structures	structure	NOUN
ejpam-6490	41	34	.	.	PUNCT
ejpam-6490	42	1	on	on	ADP
ejpam-6490	42	2	the	the	DET
ejpam-6490	42	3	other	other	ADJ
ejpam-6490	42	4	hand	hand	NOUN
ejpam-6490	42	5	,	,	PUNCT
ejpam-6490	42	6	the	the	DET
ejpam-6490	42	7	present	present	ADJ
ejpam-6490	42	8	work	work	NOUN
ejpam-6490	42	9	is	be	AUX
ejpam-6490	42	10	concerned	concern	VERB
ejpam-6490	42	11	with	with	ADP
ejpam-6490	42	12	the	the	DET
ejpam-6490	42	13	dynamics	dynamic	NOUN
ejpam-6490	42	14	of	of	ADP
ejpam-6490	42	15	a	a	DET
ejpam-6490	42	16	novel	novel	NOUN
ejpam-6490	42	17	(	(	PUNCT
ejpam-6490	42	18	3	3	NUM
ejpam-6490	42	19	+	+	NOUN
ejpam-6490	42	20	1)-dimensional	1)-dimensional	ADJ
ejpam-6490	42	21	nonlinear	nonlinear	ADJ
ejpam-6490	42	22	wave	wave	NOUN
ejpam-6490	42	23	equation	equation	NOUN
ejpam-6490	42	24	with	with	ADP
ejpam-6490	42	25	conformable	conformable	ADJ
ejpam-6490	42	26	fractional	fractional	ADJ
ejpam-6490	42	27	derivatives	derivative	NOUN
ejpam-6490	42	28	,	,	PUNCT
ejpam-6490	42	29	in	in	ADP
ejpam-6490	42	30	which	which	PRON
ejpam-6490	42	31	a	a	DET
ejpam-6490	42	32	more	more	ADV
ejpam-6490	42	33	generalized	generalized	ADJ
ejpam-6490	42	34	model	model	NOUN
ejpam-6490	42	35	frame	frame	NOUN
ejpam-6490	42	36	is	be	AUX
ejpam-6490	42	37	presented	present	VERB
ejpam-6490	42	38	that	that	PRON
ejpam-6490	42	39	can	can	AUX
ejpam-6490	42	40	portray	portray	VERB
ejpam-6490	42	41	complex	complex	ADJ
ejpam-6490	42	42	nonlinear	nonlinear	ADJ
ejpam-6490	42	43	features	feature	NOUN
ejpam-6490	42	44	in	in	ADP
ejpam-6490	42	45	higher	high	ADJ
ejpam-6490	42	46	-	-	PUNCT
ejpam-6490	42	47	dimensional	dimensional	ADJ
ejpam-6490	42	48	fluid	fluid	ADJ
ejpam-6490	42	49	and	and	CCONJ
ejpam-6490	42	50	optical	optical	ADJ
ejpam-6490	42	51	systems	system	NOUN
ejpam-6490	42	52	.	.	PUNCT
ejpam-6490	43	1	this	this	DET
ejpam-6490	43	2	extension	extension	NOUN
ejpam-6490	43	3	fills	fill	VERB
ejpam-6490	43	4	the	the	DET
ejpam-6490	43	5	existing	exist	VERB
ejpam-6490	43	6	gap	gap	NOUN
ejpam-6490	43	7	in	in	ADP
ejpam-6490	43	8	the	the	DET
ejpam-6490	43	9	literature	literature	NOUN
ejpam-6490	43	10	by	by	ADP
ejpam-6490	43	11	providing	provide	VERB
ejpam-6490	43	12	a	a	DET
ejpam-6490	43	13	more	more	ADV
ejpam-6490	43	14	comprehensive	comprehensive	ADJ
ejpam-6490	43	15	class	class	NOUN
ejpam-6490	43	16	of	of	ADP
ejpam-6490	43	17	exact	exact	ADJ
ejpam-6490	43	18	solutions	solution	NOUN
ejpam-6490	43	19	,	,	PUNCT
ejpam-6490	43	20	including	include	VERB
ejpam-6490	43	21	bright	bright	ADJ
ejpam-6490	43	22	,	,	PUNCT
ejpam-6490	43	23	dark	dark	ADJ
ejpam-6490	43	24	,	,	PUNCT
ejpam-6490	43	25	singular	singular	NOUN
ejpam-6490	43	26	,	,	PUNCT
ejpam-6490	43	27	and	and	CCONJ
ejpam-6490	43	28	periodic	periodic	ADJ
ejpam-6490	43	29	solitons	soliton	NOUN
ejpam-6490	43	30	,	,	PUNCT
ejpam-6490	43	31	and	and	CCONJ
ejpam-6490	43	32	thus	thus	ADV
ejpam-6490	43	33	developing	develop	VERB
ejpam-6490	43	34	additional	additional	ADJ
ejpam-6490	43	35	insight	insight	NOUN
ejpam-6490	43	36	into	into	ADP
ejpam-6490	43	37	the	the	DET
ejpam-6490	43	38	spatiotemporal	spatiotemporal	ADJ
ejpam-6490	43	39	dynamics	dynamic	NOUN
ejpam-6490	43	40	of	of	ADP
ejpam-6490	43	41	nonlinear	nonlinear	ADJ
ejpam-6490	43	42	waves	wave	NOUN
ejpam-6490	43	43	in	in	ADP
ejpam-6490	43	44	realistic	realistic	ADJ
ejpam-6490	43	45	multidimensional	multidimensional	ADJ
ejpam-6490	43	46	settings	setting	NOUN
ejpam-6490	43	47	.	.	PUNCT
ejpam-6490	44	1	the	the	DET
ejpam-6490	44	2	boussinesq	boussinesq	ADJ
ejpam-6490	44	3	equation	equation	NOUN
ejpam-6490	44	4	(	(	PUNCT
ejpam-6490	44	5	be	be	AUX
ejpam-6490	44	6	)	)	PUNCT
ejpam-6490	44	7	,	,	PUNCT
ejpam-6490	44	8	developed	develop	VERB
ejpam-6490	44	9	by	by	ADP
ejpam-6490	44	10	boussinesq	boussinesq	NOUN
ejpam-6490	44	11	in	in	ADP
ejpam-6490	44	12	1871	1871	NUM
ejpam-6490	44	13	,	,	PUNCT
ejpam-6490	44	14	is	be	AUX
ejpam-6490	44	15	one	one	NUM
ejpam-6490	44	16	of	of	ADP
ejpam-6490	44	17	the	the	DET
ejpam-6490	44	18	most	most	ADV
ejpam-6490	44	19	important	important	ADJ
ejpam-6490	44	20	evolution	evolution	NOUN
ejpam-6490	44	21	equations	equation	NOUN
ejpam-6490	44	22	used	use	VERB
ejpam-6490	44	23	in	in	ADP
ejpam-6490	44	24	plasma	plasma	NOUN
ejpam-6490	44	25	physics	physics	NOUN
ejpam-6490	44	26	and	and	CCONJ
ejpam-6490	44	27	fluid	fluid	ADJ
ejpam-6490	44	28	mechanics	mechanic	NOUN
ejpam-6490	44	29	.	.	PUNCT
ejpam-6490	45	1	the	the	DET
ejpam-6490	45	2	propagation	propagation	NOUN
ejpam-6490	45	3	of	of	ADP
ejpam-6490	45	4	small	small	ADJ
ejpam-6490	45	5	-	-	PUNCT
ejpam-6490	45	6	amplitude	amplitude	NOUN
ejpam-6490	45	7	shallow	shallow	ADJ
ejpam-6490	45	8	water	water	NOUN
ejpam-6490	45	9	waves	wave	NOUN
ejpam-6490	45	10	traveling	travel	VERB
ejpam-6490	45	11	at	at	ADP
ejpam-6490	45	12	a	a	DET
ejpam-6490	45	13	constant	constant	ADJ
ejpam-6490	45	14	speed	speed	NOUN
ejpam-6490	45	15	in	in	ADP
ejpam-6490	45	16	a	a	DET
ejpam-6490	45	17	continuous	continuous	ADJ
ejpam-6490	45	18	depth	depth	NOUN
ejpam-6490	45	19	water	water	NOUN
ejpam-6490	45	20	channel	channel	NOUN
ejpam-6490	45	21	is	be	AUX
ejpam-6490	45	22	described	describe	VERB
ejpam-6490	45	23	by	by	ADP
ejpam-6490	45	24	this	this	DET
ejpam-6490	45	25	equation	equation	NOUN
ejpam-6490	45	26	and	and	CCONJ
ejpam-6490	45	27	certain	certain	ADJ
ejpam-6490	45	28	extensions	extension	NOUN
ejpam-6490	45	29	from	from	ADP
ejpam-6490	45	30	it	it	PRON
ejpam-6490	45	31	[	[	X
ejpam-6490	45	32	21	21	NUM
ejpam-6490	45	33	]	]	PUNCT
ejpam-6490	45	34	.	.	PUNCT
ejpam-6490	46	1	numerous	numerous	ADJ
ejpam-6490	46	2	studies	study	NOUN
ejpam-6490	46	3	have	have	AUX
ejpam-6490	46	4	tackled	tackle	VERB
ejpam-6490	46	5	this	this	DET
ejpam-6490	46	6	equation	equation	NOUN
ejpam-6490	46	7	,	,	PUNCT
ejpam-6490	46	8	scrutinizing	scrutinize	VERB
ejpam-6490	46	9	and	and	CCONJ
ejpam-6490	46	10	resolving	resolve	VERB
ejpam-6490	46	11	it	it	PRON
ejpam-6490	46	12	using	use	VERB
ejpam-6490	46	13	diverse	diverse	ADJ
ejpam-6490	46	14	methodologies	methodology	NOUN
ejpam-6490	46	15	.	.	PUNCT
ejpam-6490	47	1	for	for	ADP
ejpam-6490	47	2	example	example	NOUN
ejpam-6490	47	3	,	,	PUNCT
ejpam-6490	47	4	wazwaz	wazwaz	NOUN
ejpam-6490	47	5	[	[	X
ejpam-6490	47	6	22	22	NUM
ejpam-6490	47	7	]	]	PUNCT
ejpam-6490	47	8	used	use	VERB
ejpam-6490	47	9	a	a	DET
ejpam-6490	47	10	family	family	NOUN
ejpam-6490	47	11	of	of	ADP
ejpam-6490	47	12	tanh	tanh	PROPN
ejpam-6490	47	13	methods	method	NOUN
ejpam-6490	47	14	to	to	PART
ejpam-6490	47	15	evaluate	evaluate	VERB
ejpam-6490	47	16	it	it	PRON
ejpam-6490	47	17	and	and	CCONJ
ejpam-6490	47	18	get	get	VERB
ejpam-6490	47	19	only	only	ADV
ejpam-6490	47	20	a	a	DET
ejpam-6490	47	21	periodic	periodic	ADJ
ejpam-6490	47	22	solution	solution	NOUN
ejpam-6490	47	23	as	as	ADV
ejpam-6490	47	24	well	well	ADV
ejpam-6490	47	25	as	as	ADP
ejpam-6490	47	26	a	a	DET
ejpam-6490	47	27	single	single	ADJ
ejpam-6490	47	28	soliton	soliton	NOUN
ejpam-6490	47	29	solution	solution	NOUN
ejpam-6490	47	30	.	.	PUNCT
ejpam-6490	48	1	to	to	PART
ejpam-6490	48	2	obtain	obtain	VERB
ejpam-6490	48	3	multiple	multiple	ADJ
ejpam-6490	48	4	soliton	soliton	NOUN
ejpam-6490	48	5	solutions	solution	NOUN
ejpam-6490	48	6	for	for	ADP
ejpam-6490	48	7	this	this	DET
ejpam-6490	48	8	model	model	NOUN
ejpam-6490	48	9	,	,	PUNCT
ejpam-6490	48	10	the	the	DET
ejpam-6490	48	11	author	author	NOUN
ejpam-6490	48	12	also	also	ADV
ejpam-6490	48	13	used	use	VERB
ejpam-6490	48	14	hirota	hirota	PROPN
ejpam-6490	48	15	’s	’s	PART
ejpam-6490	48	16	direct	direct	ADJ
ejpam-6490	48	17	approach	approach	NOUN
ejpam-6490	48	18	in	in	ADP
ejpam-6490	48	19	conjunction	conjunction	NOUN
ejpam-6490	48	20	with	with	ADP
ejpam-6490	48	21	its	its	PRON
ejpam-6490	48	22	simplified	simplified	ADJ
ejpam-6490	48	23	form	form	NOUN
ejpam-6490	48	24	.	.	PUNCT
ejpam-6490	49	1	in	in	ADP
ejpam-6490	49	2	[	[	X
ejpam-6490	49	3	23	23	NUM
ejpam-6490	49	4	]	]	PUNCT
ejpam-6490	49	5	,	,	PUNCT
ejpam-6490	49	6	the	the	DET
ejpam-6490	49	7	author	author	NOUN
ejpam-6490	49	8	obtained	obtain	VERB
ejpam-6490	49	9	solutions	solution	NOUN
ejpam-6490	49	10	in	in	ADP
ejpam-6490	49	11	the	the	DET
ejpam-6490	49	12	form	form	NOUN
ejpam-6490	49	13	of	of	ADP
ejpam-6490	49	14	single	single	ADJ
ejpam-6490	49	15	solitons	soliton	NOUN
ejpam-6490	49	16	and	and	CCONJ
ejpam-6490	49	17	periodic	periodic	ADJ
ejpam-6490	49	18	waves	wave	NOUN
ejpam-6490	49	19	by	by	ADP
ejpam-6490	49	20	analyzing	analyze	VERB
ejpam-6490	49	21	the	the	DET
ejpam-6490	49	22	behavior	behavior	NOUN
ejpam-6490	49	23	of	of	ADP
ejpam-6490	49	24	this	this	DET
ejpam-6490	49	25	equation	equation	NOUN
ejpam-6490	49	26	using	use	VERB
ejpam-6490	49	27	the	the	DET
ejpam-6490	49	28	modified	modified	ADJ
ejpam-6490	49	29	adomian	adomian	NOUN
ejpam-6490	49	30	decomposition	decomposition	NOUN
ejpam-6490	49	31	technique	technique	NOUN
ejpam-6490	49	32	.	.	PUNCT
ejpam-6490	50	1	furthermore	furthermore	ADV
ejpam-6490	50	2	,	,	PUNCT
ejpam-6490	50	3	a	a	DET
ejpam-6490	50	4	variety	variety	NOUN
ejpam-6490	50	5	of	of	ADP
ejpam-6490	50	6	nonlinear	nonlinear	ADJ
ejpam-6490	50	7	phenomena	phenomenon	NOUN
ejpam-6490	50	8	seen	see	VERB
ejpam-6490	50	9	in	in	ADP
ejpam-6490	50	10	a	a	DET
ejpam-6490	50	11	wide	wide	ADJ
ejpam-6490	50	12	range	range	NOUN
ejpam-6490	50	13	of	of	ADP
ejpam-6490	50	14	engineering	engineering	NOUN
ejpam-6490	50	15	and	and	CCONJ
ejpam-6490	50	16	physical	physical	ADJ
ejpam-6490	50	17	systems	system	NOUN
ejpam-6490	50	18	have	have	AUX
ejpam-6490	50	19	been	be	AUX
ejpam-6490	50	20	accurately	accurately	ADV
ejpam-6490	50	21	modeled	model	VERB
ejpam-6490	50	22	by	by	ADP
ejpam-6490	50	23	the	the	DET
ejpam-6490	50	24	kdv	kdv	NOUN
ejpam-6490	50	25	equations	equation	NOUN
ejpam-6490	50	26	.	.	PUNCT
ejpam-6490	51	1	the	the	DET
ejpam-6490	51	2	kp	kp	PROPN
ejpam-6490	51	3	equation	equation	NOUN
ejpam-6490	51	4	(	(	PUNCT
ejpam-6490	51	5	kpe	kpe	PROPN
ejpam-6490	51	6	)	)	PUNCT
ejpam-6490	51	7	belongs	belong	VERB
ejpam-6490	51	8	to	to	ADP
ejpam-6490	51	9	the	the	DET
ejpam-6490	51	10	kdv	kdv	NOUN
ejpam-6490	51	11	family	family	NOUN
ejpam-6490	51	12	of	of	ADP
ejpam-6490	51	13	evolutionary	evolutionary	ADJ
ejpam-6490	51	14	equations	equation	NOUN
ejpam-6490	51	15	,	,	PUNCT
ejpam-6490	51	16	particularly	particularly	ADV
ejpam-6490	51	17	when	when	SCONJ
ejpam-6490	51	18	two	two	NUM
ejpam-6490	51	19	-	-	PUNCT
ejpam-6490	51	20	dimensional	dimensional	ADJ
ejpam-6490	51	21	propagation	propagation	NOUN
ejpam-6490	51	22	and	and	CCONJ
ejpam-6490	51	23	perturbation	perturbation	NOUN
ejpam-6490	51	24	are	be	AUX
ejpam-6490	51	25	taken	take	VERB
ejpam-6490	51	26	into	into	ADP
ejpam-6490	51	27	account	account	NOUN
ejpam-6490	51	28	as	as	ADP
ejpam-6490	51	29	in	in	ADP
ejpam-6490	51	30	[	[	X
ejpam-6490	51	31	24	24	NUM
ejpam-6490	51	32	]	]	PUNCT
ejpam-6490	51	33	.	.	PUNCT
ejpam-6490	52	1	in	in	ADP
ejpam-6490	52	2	this	this	DET
ejpam-6490	52	3	study	study	NOUN
ejpam-6490	52	4	,	,	PUNCT
ejpam-6490	52	5	the	the	DET
ejpam-6490	52	6	two	two	NUM
ejpam-6490	52	7	-	-	PUNCT
ejpam-6490	52	8	dimensional	dimensional	ADJ
ejpam-6490	52	9	kdv	kdv	NOUN
ejpam-6490	52	10	equation	equation	NOUN
ejpam-6490	52	11	has	have	VERB
ejpam-6490	52	12	an	an	DET
ejpam-6490	52	13	unlimited	unlimited	ADJ
ejpam-6490	52	14	number	number	NOUN
ejpam-6490	52	15	of	of	ADP
ejpam-6490	52	16	conserved	conserve	VERB
ejpam-6490	52	17	quantities	quantity	NOUN
ejpam-6490	52	18	and	and	CCONJ
ejpam-6490	52	19	is	be	AUX
ejpam-6490	52	20	fully	fully	ADV
ejpam-6490	52	21	integrable	integrable	ADJ
ejpam-6490	52	22	,	,	PUNCT
ejpam-6490	52	23	which	which	PRON
ejpam-6490	52	24	relates	relate	VERB
ejpam-6490	52	25	to	to	ADP
ejpam-6490	52	26	the	the	DET
ejpam-6490	52	27	simulation	simulation	NOUN
ejpam-6490	52	28	of	of	ADP
ejpam-6490	52	29	many	many	ADJ
ejpam-6490	52	30	nonlinear	nonlinear	ADJ
ejpam-6490	52	31	structures	structure	NOUN
ejpam-6490	52	32	in	in	ADP
ejpam-6490	52	33	a	a	DET
ejpam-6490	52	34	wide	wide	ADJ
ejpam-6490	52	35	range	range	NOUN
ejpam-6490	52	36	of	of	ADP
ejpam-6490	52	37	real	real	ADJ
ejpam-6490	52	38	-	-	PUNCT
ejpam-6490	52	39	world	world	NOUN
ejpam-6490	52	40	circumstances	circumstance	NOUN
ejpam-6490	52	41	,	,	PUNCT
ejpam-6490	52	42	including	include	VERB
ejpam-6490	52	43	a	a	DET
ejpam-6490	52	44	harmonic	harmonic	ADJ
ejpam-6490	52	45	lattice	lattice	NOUN
ejpam-6490	52	46	,	,	PUNCT
ejpam-6490	52	47	a	a	DET
ejpam-6490	52	48	two	two	NUM
ejpam-6490	52	49	-	-	PUNCT
ejpam-6490	52	50	layer	layer	NOUN
ejpam-6490	52	51	liquid	liquid	NOUN
ejpam-6490	52	52	with	with	ADP
ejpam-6490	52	53	gradually	gradually	ADV
ejpam-6490	52	54	varying	vary	VERB
ejpam-6490	52	55	depth	depth	NOUN
ejpam-6490	52	56	,	,	PUNCT
ejpam-6490	52	57	and	and	CCONJ
ejpam-6490	52	58	plasma	plasma	NOUN
ejpam-6490	52	59	physics	physic	NOUN
ejpam-6490	52	60	.	.	PUNCT
ejpam-6490	53	1	inspired	inspire	VERB
ejpam-6490	53	2	by	by	ADP
ejpam-6490	53	3	several	several	ADJ
ejpam-6490	53	4	applications	application	NOUN
ejpam-6490	53	5	of	of	ADP
ejpam-6490	53	6	both	both	PRON
ejpam-6490	53	7	be	be	AUX
ejpam-6490	53	8	and	and	CCONJ
ejpam-6490	53	9	kpe	kpe	NOUN
ejpam-6490	53	10	,	,	PUNCT
ejpam-6490	53	11	the	the	DET
ejpam-6490	53	12	goal	goal	NOUN
ejpam-6490	53	13	of	of	ADP
ejpam-6490	53	14	our	our	PRON
ejpam-6490	53	15	present	present	ADJ
ejpam-6490	53	16	work	work	NOUN
ejpam-6490	53	17	is	be	AUX
ejpam-6490	53	18	to	to	PART
ejpam-6490	53	19	combine	combine	VERB
ejpam-6490	53	20	the	the	DET
ejpam-6490	53	21	two	two	NUM
ejpam-6490	53	22	equations	equation	NOUN
ejpam-6490	53	23	to	to	PART
ejpam-6490	53	24	produce	produce	VERB
ejpam-6490	53	25	a	a	DET
ejpam-6490	53	26	new	new	ADJ
ejpam-6490	53	27	model	model	NOUN
ejpam-6490	53	28	that	that	PRON
ejpam-6490	53	29	may	may	AUX
ejpam-6490	53	30	satisfactorily	satisfactorily	ADV
ejpam-6490	53	31	describe	describe	VERB
ejpam-6490	53	32	a	a	DET
ejpam-6490	53	33	variety	variety	NOUN
ejpam-6490	53	34	of	of	ADP
ejpam-6490	53	35	occurrences	occurrence	NOUN
ejpam-6490	53	36	for	for	ADP
ejpam-6490	53	37	which	which	PRON
ejpam-6490	53	38	neither	neither	DET
ejpam-6490	53	39	equation	equation	NOUN
ejpam-6490	53	40	could	could	AUX
ejpam-6490	53	41	account	account	VERB
ejpam-6490	53	42	.	.	PUNCT
ejpam-6490	54	1	as	as	ADP
ejpam-6490	54	2	in	in	ADP
ejpam-6490	54	3	[	[	X
ejpam-6490	54	4	25	25	NUM
ejpam-6490	54	5	]	]	PUNCT
ejpam-6490	54	6	,	,	PUNCT
ejpam-6490	54	7	the	the	DET
ejpam-6490	54	8	work	work	NOUN
ejpam-6490	54	9	introduced	introduce	VERB
ejpam-6490	54	10	a	a	DET
ejpam-6490	54	11	brand	brand	NOUN
ejpam-6490	54	12	-	-	PUNCT
ejpam-6490	54	13	new	new	ADJ
ejpam-6490	54	14	,	,	PUNCT
ejpam-6490	54	15	three	three	NUM
ejpam-6490	54	16	-	-	PUNCT
ejpam-6490	54	17	dimensional	dimensional	ADJ
ejpam-6490	54	18	boussinesq	boussinesq	ADJ
ejpam-6490	54	19	-	-	PUNCT
ejpam-6490	54	20	kp	kp	NOUN
ejpam-6490	54	21	-	-	NOUN
ejpam-6490	54	22	type	type	NOUN
ejpam-6490	54	23	(	(	PUNCT
ejpam-6490	54	24	b	b	NOUN
ejpam-6490	54	25	-	-	PUNCT
ejpam-6490	54	26	kp	kp	ADJ
ejpam-6490	54	27	-	-	PUNCT
ejpam-6490	54	28	type	type	NOUN
ejpam-6490	54	29	)	)	PUNCT
ejpam-6490	54	30	equation	equation	NOUN
ejpam-6490	54	31	with	with	ADP
ejpam-6490	54	32	four	four	NUM
ejpam-6490	54	33	linear	linear	ADJ
ejpam-6490	54	34	terms	term	NOUN
ejpam-6490	54	35	that	that	PRON
ejpam-6490	54	36	were	be	AUX
ejpam-6490	54	37	balanced	balance	VERB
ejpam-6490	54	38	with	with	ADP
ejpam-6490	54	39	a	a	DET
ejpam-6490	54	40	higher	high	ADJ
ejpam-6490	54	41	order	order	NOUN
ejpam-6490	54	42	linear	linear	ADJ
ejpam-6490	54	43	term	term	NOUN
ejpam-6490	54	44	of	of	ADP
ejpam-6490	54	45	fourth	fourth	ADJ
ejpam-6490	54	46	order	order	NOUN
ejpam-6490	54	47	that	that	PRON
ejpam-6490	54	48	represented	represent	VERB
ejpam-6490	54	49	the	the	DET
ejpam-6490	54	50	dispersion	dispersion	NOUN
ejpam-6490	54	51	effect	effect	NOUN
ejpam-6490	54	52	.	.	PUNCT
ejpam-6490	55	1	this	this	DET
ejpam-6490	55	2	model	model	NOUN
ejpam-6490	55	3	was	be	AUX
ejpam-6490	55	4	analyzed	analyze	VERB
ejpam-6490	55	5	using	use	VERB
ejpam-6490	55	6	the	the	DET
ejpam-6490	55	7	tanh	tanh	NOUN
ejpam-6490	55	8	-	-	PUNCT
ejpam-6490	55	9	method	method	NOUN
ejpam-6490	55	10	family	family	NOUN
ejpam-6490	55	11	;	;	PUNCT
ejpam-6490	55	12	however	however	ADV
ejpam-6490	55	13	,	,	PUNCT
ejpam-6490	55	14	periodic	periodic	ADJ
ejpam-6490	55	15	wave	wave	NOUN
ejpam-6490	55	16	and	and	CCONJ
ejpam-6490	55	17	single	single	ADJ
ejpam-6490	55	18	soliton	soliton	NOUN
ejpam-6490	55	19	solutions	solution	NOUN
ejpam-6490	55	20	were	be	AUX
ejpam-6490	55	21	only	only	ADV
ejpam-6490	55	22	obtained	obtain	VERB
ejpam-6490	55	23	.	.	PUNCT
ejpam-6490	56	1	in	in	ADP
ejpam-6490	56	2	this	this	DET
ejpam-6490	56	3	study	study	NOUN
ejpam-6490	56	4	,	,	PUNCT
ejpam-6490	56	5	the	the	DET
ejpam-6490	56	6	improved	improve	VERB
ejpam-6490	56	7	modified	modify	VERB
ejpam-6490	56	8	extended	extend	VERB
ejpam-6490	56	9	(	(	PUNCT
ejpam-6490	56	10	ime	ime	ADJ
ejpam-6490	56	11	)	)	PUNCT
ejpam-6490	56	12	tanh	tanh	NOUN
ejpam-6490	56	13	-	-	PUNCT
ejpam-6490	56	14	function	function	NOUN
ejpam-6490	56	15	method	method	NOUN
ejpam-6490	56	16	is	be	AUX
ejpam-6490	56	17	suggested	suggest	VERB
ejpam-6490	56	18	as	as	ADP
ejpam-6490	56	19	one	one	NUM
ejpam-6490	56	20	simple	simple	ADJ
ejpam-6490	56	21	method	method	NOUN
ejpam-6490	56	22	to	to	PART
ejpam-6490	56	23	analyze	analyze	VERB
ejpam-6490	56	24	the	the	DET
ejpam-6490	56	25	novel	novel	NOUN
ejpam-6490	56	26	constructed	construct	VERB
ejpam-6490	56	27	evolution	evolution	NOUN
ejpam-6490	56	28	equations	equation	NOUN
ejpam-6490	56	29	in	in	ADP
ejpam-6490	56	30	[	[	X
ejpam-6490	56	31	25	25	NUM
ejpam-6490	56	32	]	]	PUNCT
ejpam-6490	56	33	,	,	PUNCT
ejpam-6490	56	34	which	which	PRON
ejpam-6490	56	35	is	be	AUX
ejpam-6490	56	36	named	name	VERB
ejpam-6490	56	37	as	as	ADP
ejpam-6490	56	38	(	(	PUNCT
ejpam-6490	56	39	3	3	NUM
ejpam-6490	56	40	+	+	PROPN
ejpam-6490	56	41	1)-dimensional	1)-dimensional	PROPN
ejpam-6490	56	42	b	b	X
ejpam-6490	56	43	-	-	PUNCT
ejpam-6490	56	44	kp	kp	ADJ
ejpam-6490	56	45	-	-	PUNCT
ejpam-6490	56	46	type	type	NOUN
ejpam-6490	56	47	equation	equation	NOUN
ejpam-6490	56	48	.	.	PUNCT
ejpam-6490	57	1	several	several	ADJ
ejpam-6490	57	2	traveling	travel	VERB
ejpam-6490	57	3	wave	wave	NOUN
ejpam-6490	57	4	and	and	CCONJ
ejpam-6490	57	5	soliton	soliton	NOUN
ejpam-6490	57	6	solutions	solution	NOUN
ejpam-6490	57	7	are	be	AUX
ejpam-6490	57	8	derived	derive	VERB
ejpam-6490	57	9	and	and	CCONJ
ejpam-6490	57	10	discussed	discuss	VERB
ejpam-6490	57	11	.	.	PUNCT
ejpam-6490	58	1	a	a	DET
ejpam-6490	58	2	wide	wide	ADJ
ejpam-6490	58	3	range	range	NOUN
ejpam-6490	58	4	of	of	ADP
ejpam-6490	58	5	complex	complex	ADJ
ejpam-6490	58	6	and	and	CCONJ
ejpam-6490	58	7	nonlinear	nonlinear	ADJ
ejpam-6490	58	8	phenomena	phenomenon	NOUN
ejpam-6490	58	9	that	that	PRON
ejpam-6490	58	10	develop	develop	VERB
ejpam-6490	58	11	and	and	CCONJ
ejpam-6490	58	12	spread	spread	VERB
ejpam-6490	58	13	in	in	ADP
ejpam-6490	58	14	different	different	ADJ
ejpam-6490	58	15	nonlinear	nonlinear	ADJ
ejpam-6490	58	16	engineering	engineering	NOUN
ejpam-6490	58	17	and	and	CCONJ
ejpam-6490	58	18	physical	physical	ADJ
ejpam-6490	58	19	systems	system	NOUN
ejpam-6490	58	20	,	,	PUNCT
ejpam-6490	58	21	particularly	particularly	ADV
ejpam-6490	58	22	the	the	DET
ejpam-6490	58	23	nonlinear	nonlinear	ADJ
ejpam-6490	58	24	phenomena	phenomenon	NOUN
ejpam-6490	58	25	found	find	VERB
ejpam-6490	58	26	in	in	ADP
ejpam-6490	58	27	fluid	fluid	ADJ
ejpam-6490	58	28	dynamics	dynamic	NOUN
ejpam-6490	58	29	,	,	PUNCT
ejpam-6490	58	30	were	be	AUX
ejpam-6490	58	31	clearly	clearly	ADV
ejpam-6490	58	32	explained	explain	VERB
ejpam-6490	58	33	through	through	ADP
ejpam-6490	58	34	some	some	DET
ejpam-6490	58	35	2d	2d	NOUN
ejpam-6490	58	36	,	,	PUNCT
ejpam-6490	58	37	3d	3d	NUM
ejpam-6490	58	38	,	,	PUNCT
ejpam-6490	58	39	and	and	CCONJ
ejpam-6490	58	40	contour	contour	NOUN
ejpam-6490	58	41	illustrations	illustration	NOUN
ejpam-6490	58	42	that	that	PRON
ejpam-6490	58	43	show	show	VERB
ejpam-6490	58	44	propagation	propagation	NOUN
ejpam-6490	58	45	properties	property	NOUN
ejpam-6490	58	46	and	and	CCONJ
ejpam-6490	58	47	behaviors	behavior	NOUN
ejpam-6490	58	48	of	of	ADP
ejpam-6490	58	49	some	some	PRON
ejpam-6490	58	50	obtained	obtain	VERB
ejpam-6490	58	51	traveling	travel	VERB
ejpam-6490	58	52	wave	wave	NOUN
ejpam-6490	58	53	solutions	solution	NOUN
ejpam-6490	58	54	.	.	PUNCT
ejpam-6490	59	1	in	in	ADP
ejpam-6490	59	2	addition	addition	NOUN
ejpam-6490	59	3	,	,	PUNCT
ejpam-6490	59	4	to	to	PART
ejpam-6490	59	5	discuss	discuss	VERB
ejpam-6490	59	6	the	the	DET
ejpam-6490	59	7	stability	stability	NOUN
ejpam-6490	59	8	w.	w.	PROPN
ejpam-6490	59	9	w.	w.	PROPN
ejpam-6490	59	10	mohammed	mohammed	PROPN
ejpam-6490	59	11	et	et	PROPN
ejpam-6490	59	12	al	al	PROPN
ejpam-6490	59	13	.	.	PUNCT
ejpam-6490	59	14	/	/	SYM
ejpam-6490	59	15	eur	eur	PROPN
ejpam-6490	59	16	.	.	PUNCT
ejpam-6490	60	1	j.	j.	PROPN
ejpam-6490	60	2	pure	pure	PROPN
ejpam-6490	60	3	appl	appl	PROPN
ejpam-6490	60	4	.	.	PROPN
ejpam-6490	60	5	math	math	PROPN
ejpam-6490	60	6	,	,	PUNCT
ejpam-6490	60	7	18	18	NUM
ejpam-6490	60	8	(	(	PUNCT
ejpam-6490	60	9	3	3	NUM
ejpam-6490	60	10	)	)	PUNCT
ejpam-6490	60	11	(	(	PUNCT
ejpam-6490	60	12	2025	2025	NUM
ejpam-6490	60	13	)	)	PUNCT
ejpam-6490	60	14	,	,	PUNCT
ejpam-6490	60	15	6490	6490	NUM
ejpam-6490	60	16	4	4	NUM
ejpam-6490	60	17	of	of	ADP
ejpam-6490	60	18	23	23	NUM
ejpam-6490	60	19	of	of	ADP
ejpam-6490	60	20	the	the	DET
ejpam-6490	60	21	obtained	obtain	VERB
ejpam-6490	60	22	solutions	solution	NOUN
ejpam-6490	60	23	,	,	PUNCT
ejpam-6490	60	24	we	we	PRON
ejpam-6490	60	25	present	present	VERB
ejpam-6490	60	26	linear	linear	ADJ
ejpam-6490	60	27	stability	stability	NOUN
ejpam-6490	60	28	analysis	analysis	NOUN
ejpam-6490	60	29	in	in	ADP
ejpam-6490	60	30	some	some	DET
ejpam-6490	60	31	cases	case	NOUN
ejpam-6490	60	32	,	,	PUNCT
ejpam-6490	60	33	like	like	ADP
ejpam-6490	60	34	neutrally	neutrally	ADV
ejpam-6490	60	35	stable	stable	ADJ
ejpam-6490	60	36	and	and	CCONJ
ejpam-6490	60	37	instability	instability	NOUN
ejpam-6490	60	38	.	.	PUNCT
ejpam-6490	61	1	the	the	PRON
ejpam-6490	61	2	(	(	PUNCT
ejpam-6490	61	3	3	3	NUM
ejpam-6490	61	4	+	+	PROPN
ejpam-6490	61	5	1)-dimensional	1)-dimensional	PROPN
ejpam-6490	61	6	b	b	X
ejpam-6490	61	7	-	-	PUNCT
ejpam-6490	61	8	kp	kp	ADJ
ejpam-6490	61	9	-	-	PUNCT
ejpam-6490	61	10	type	type	NOUN
ejpam-6490	61	11	equation	equation	NOUN
ejpam-6490	61	12	is	be	AUX
ejpam-6490	61	13	given	give	VERB
ejpam-6490	61	14	as	as	SCONJ
ejpam-6490	61	15	follows	follow	VERB
ejpam-6490	61	16	:	:	PUNCT
ejpam-6490	61	17	cϕtt	cϕtt	ADJ
ejpam-6490	61	18	+	+	CCONJ
ejpam-6490	61	19	ϕxxxx	ϕxxxx	ADJ
ejpam-6490	61	20	+	+	CCONJ
ejpam-6490	61	21	αϕxx	αϕxx	ADJ
ejpam-6490	61	22	+	+	CCONJ
ejpam-6490	61	23	βϕxy	βϕxy	ADJ
ejpam-6490	61	24	+	+	CCONJ
ejpam-6490	61	25	γϕxz	γϕxz	ADJ
ejpam-6490	61	26	+	+	CCONJ
ejpam-6490	61	27	ϑϕxt	ϑϕxt	NOUN
ejpam-6490	61	28	+	+	CCONJ
ejpam-6490	61	29	ϱ(ϕ2)xx	ϱ(ϕ2)xx	ADJ
ejpam-6490	61	30	+	+	CCONJ
ejpam-6490	61	31	µϕyy	µϕyy	NOUN
ejpam-6490	61	32	=	=	NOUN
ejpam-6490	61	33	0	0	NUM
ejpam-6490	61	34	,	,	PUNCT
ejpam-6490	61	35	(	(	PUNCT
ejpam-6490	61	36	1	1	X
ejpam-6490	61	37	)	)	PUNCT
ejpam-6490	61	38	where	where	SCONJ
ejpam-6490	61	39	ϕ	ϕ	PROPN
ejpam-6490	61	40	≡	≡	PROPN
ejpam-6490	61	41	ϕ(x	ϕ(x	PROPN
ejpam-6490	61	42	,	,	PUNCT
ejpam-6490	61	43	y	y	PROPN
ejpam-6490	61	44	,	,	PUNCT
ejpam-6490	61	45	z	z	PROPN
ejpam-6490	61	46	,	,	PUNCT
ejpam-6490	61	47	t	t	PROPN
ejpam-6490	61	48	)	)	PUNCT
ejpam-6490	61	49	represents	represent	VERB
ejpam-6490	61	50	a	a	DET
ejpam-6490	61	51	real	real	ADV
ejpam-6490	61	52	-	-	PUNCT
ejpam-6490	61	53	valued	value	VERB
ejpam-6490	61	54	function	function	NOUN
ejpam-6490	61	55	that	that	PRON
ejpam-6490	61	56	must	must	AUX
ejpam-6490	61	57	be	be	AUX
ejpam-6490	61	58	sufficiently	sufficiently	ADV
ejpam-6490	61	59	frequently	frequently	ADV
ejpam-6490	61	60	differentiable	differentiable	ADJ
ejpam-6490	61	61	,	,	PUNCT
ejpam-6490	61	62	and	and	CCONJ
ejpam-6490	61	63	subscripts	subscript	NOUN
ejpam-6490	61	64	denote	denote	VERB
ejpam-6490	61	65	partial	partial	ADJ
ejpam-6490	61	66	derivatives	derivative	NOUN
ejpam-6490	61	67	.	.	PUNCT
ejpam-6490	62	1	it	it	PRON
ejpam-6490	62	2	refers	refer	VERB
ejpam-6490	62	3	to	to	ADP
ejpam-6490	62	4	the	the	DET
ejpam-6490	62	5	height	height	NOUN
ejpam-6490	62	6	of	of	ADP
ejpam-6490	62	7	a	a	DET
ejpam-6490	62	8	fluid	fluid	NOUN
ejpam-6490	62	9	’s	’s	PART
ejpam-6490	62	10	free	free	ADJ
ejpam-6490	62	11	surface	surface	NOUN
ejpam-6490	62	12	;	;	PUNCT
ejpam-6490	62	13	x	x	X
ejpam-6490	62	14	,	,	PUNCT
ejpam-6490	62	15	y	y	PROPN
ejpam-6490	62	16	,	,	PUNCT
ejpam-6490	62	17	z	z	NOUN
ejpam-6490	62	18	refer	refer	VERB
ejpam-6490	62	19	to	to	ADP
ejpam-6490	62	20	the	the	DET
ejpam-6490	62	21	variables	variable	NOUN
ejpam-6490	62	22	of	of	ADP
ejpam-6490	62	23	the	the	DET
ejpam-6490	62	24	space	space	NOUN
ejpam-6490	62	25	dimensions	dimension	NOUN
ejpam-6490	62	26	,	,	PUNCT
ejpam-6490	62	27	while	while	SCONJ
ejpam-6490	62	28	t	t	PROPN
ejpam-6490	62	29	denotes	denote	VERB
ejpam-6490	62	30	the	the	DET
ejpam-6490	62	31	time	time	NOUN
ejpam-6490	62	32	variation	variation	NOUN
ejpam-6490	62	33	.	.	PUNCT
ejpam-6490	63	1	c	c	X
ejpam-6490	63	2	,	,	PUNCT
ejpam-6490	63	3	α	α	PROPN
ejpam-6490	63	4	,	,	PUNCT
ejpam-6490	63	5	β	β	X
ejpam-6490	63	6	,	,	PUNCT
ejpam-6490	63	7	γ	γ	PROPN
ejpam-6490	63	8	,	,	PUNCT
ejpam-6490	63	9	ϑ	ϑ	NOUN
ejpam-6490	63	10	,	,	PUNCT
ejpam-6490	63	11	ϱ	ϱ	NOUN
ejpam-6490	63	12	and	and	CCONJ
ejpam-6490	63	13	µ	µ	NOUN
ejpam-6490	63	14	are	be	AUX
ejpam-6490	63	15	arbitrary	arbitrary	ADJ
ejpam-6490	63	16	real	real	ADJ
ejpam-6490	63	17	values	value	NOUN
ejpam-6490	63	18	parameters	parameter	NOUN
ejpam-6490	63	19	that	that	PRON
ejpam-6490	63	20	will	will	AUX
ejpam-6490	63	21	be	be	AUX
ejpam-6490	63	22	calculated	calculate	VERB
ejpam-6490	63	23	later	later	ADV
ejpam-6490	63	24	during	during	ADP
ejpam-6490	63	25	this	this	DET
ejpam-6490	63	26	study	study	NOUN
ejpam-6490	63	27	.	.	PUNCT
ejpam-6490	64	1	ϕ	ϕ	PROPN
ejpam-6490	64	2	appears	appear	VERB
ejpam-6490	64	3	with	with	ADP
ejpam-6490	64	4	its	its	PRON
ejpam-6490	64	5	partial	partial	ADJ
ejpam-6490	64	6	derivatives	derivative	NOUN
ejpam-6490	64	7	to	to	PART
ejpam-6490	64	8	describe	describe	VERB
ejpam-6490	64	9	the	the	DET
ejpam-6490	64	10	fluid	fluid	ADJ
ejpam-6490	64	11	wave	wave	NOUN
ejpam-6490	64	12	profiles	profile	NOUN
ejpam-6490	64	13	with	with	ADP
ejpam-6490	64	14	significant	significant	ADJ
ejpam-6490	64	15	amplitudes	amplitude	NOUN
ejpam-6490	64	16	that	that	PRON
ejpam-6490	64	17	are	be	AUX
ejpam-6490	64	18	maintained	maintain	VERB
ejpam-6490	64	19	for	for	ADP
ejpam-6490	64	20	a	a	DET
ejpam-6490	64	21	brief	brief	ADJ
ejpam-6490	64	22	duration	duration	NOUN
ejpam-6490	64	23	of	of	ADP
ejpam-6490	64	24	time	time	NOUN
ejpam-6490	64	25	,	,	PUNCT
ejpam-6490	64	26	which	which	PRON
ejpam-6490	64	27	signifies	signify	VERB
ejpam-6490	64	28	localization	localization	NOUN
ejpam-6490	64	29	in	in	ADP
ejpam-6490	64	30	both	both	CCONJ
ejpam-6490	64	31	the	the	DET
ejpam-6490	64	32	space	space	NOUN
ejpam-6490	64	33	and	and	CCONJ
ejpam-6490	64	34	the	the	DET
ejpam-6490	64	35	time	time	NOUN
ejpam-6490	64	36	domains	domain	NOUN
ejpam-6490	64	37	.	.	PUNCT
ejpam-6490	65	1	the	the	DET
ejpam-6490	65	2	(	(	PUNCT
ejpam-6490	65	3	3	3	NUM
ejpam-6490	65	4	+	+	PROPN
ejpam-6490	65	5	1)dimensional	1)dimensional	PROPN
ejpam-6490	65	6	pkp	pkp	PROPN
ejpam-6490	65	7	-	-	PUNCT
ejpam-6490	65	8	bkp	bkp	PROPN
ejpam-6490	65	9	equation	equation	NOUN
ejpam-6490	65	10	,	,	PUNCT
ejpam-6490	65	11	which	which	PRON
ejpam-6490	65	12	depicts	depict	VERB
ejpam-6490	65	13	the	the	DET
ejpam-6490	65	14	propagation	propagation	NOUN
ejpam-6490	65	15	of	of	ADP
ejpam-6490	65	16	nonlinear	nonlinear	ADJ
ejpam-6490	65	17	waves	wave	NOUN
ejpam-6490	65	18	in	in	ADP
ejpam-6490	65	19	three	three	NUM
ejpam-6490	65	20	spatial	spatial	ADJ
ejpam-6490	65	21	dimensions	dimension	NOUN
ejpam-6490	65	22	and	and	CCONJ
ejpam-6490	65	23	one	one	NUM
ejpam-6490	65	24	temporal	temporal	ADJ
ejpam-6490	65	25	dimension	dimension	NOUN
ejpam-6490	65	26	,	,	PUNCT
ejpam-6490	65	27	is	be	AUX
ejpam-6490	65	28	particularly	particularly	ADV
ejpam-6490	65	29	significant	significant	ADJ
ejpam-6490	65	30	for	for	ADP
ejpam-6490	65	31	studying	study	VERB
ejpam-6490	65	32	complex	complex	ADJ
ejpam-6490	65	33	wave	wave	NOUN
ejpam-6490	65	34	dynamics	dynamic	NOUN
ejpam-6490	65	35	in	in	ADP
ejpam-6490	65	36	systems	system	NOUN
ejpam-6490	65	37	like	like	ADP
ejpam-6490	65	38	fluids	fluid	NOUN
ejpam-6490	65	39	,	,	PUNCT
ejpam-6490	65	40	plasmas	plasma	NOUN
ejpam-6490	65	41	,	,	PUNCT
ejpam-6490	65	42	and	and	CCONJ
ejpam-6490	65	43	optical	optical	ADJ
ejpam-6490	65	44	media	medium	NOUN
ejpam-6490	65	45	.	.	PUNCT
ejpam-6490	66	1	it	it	PRON
ejpam-6490	66	2	extends	extend	VERB
ejpam-6490	66	3	the	the	DET
ejpam-6490	66	4	standard	standard	ADJ
ejpam-6490	66	5	kp	kp	PROPN
ejpam-6490	66	6	equation	equation	NOUN
ejpam-6490	66	7	by	by	ADP
ejpam-6490	66	8	including	include	VERB
ejpam-6490	66	9	wave	wave	NOUN
ejpam-6490	66	10	interactions	interaction	NOUN
ejpam-6490	66	11	that	that	PRON
ejpam-6490	66	12	occur	occur	VERB
ejpam-6490	66	13	both	both	CCONJ
ejpam-6490	66	14	longitudinally	longitudinally	ADV
ejpam-6490	66	15	and	and	CCONJ
ejpam-6490	66	16	transversely	transversely	ADV
ejpam-6490	66	17	,	,	PUNCT
ejpam-6490	66	18	and	and	CCONJ
ejpam-6490	66	19	it	it	PRON
ejpam-6490	66	20	shows	show	VERB
ejpam-6490	66	21	how	how	SCONJ
ejpam-6490	66	22	perturbations	perturbation	NOUN
ejpam-6490	66	23	in	in	ADP
ejpam-6490	66	24	one	one	NUM
ejpam-6490	66	25	direction	direction	NOUN
ejpam-6490	66	26	can	can	AUX
ejpam-6490	66	27	propagate	propagate	VERB
ejpam-6490	66	28	over	over	ADP
ejpam-6490	66	29	many	many	ADJ
ejpam-6490	66	30	spatial	spatial	ADJ
ejpam-6490	66	31	dimensions	dimension	NOUN
ejpam-6490	66	32	.	.	PUNCT
ejpam-6490	67	1	understanding	understand	VERB
ejpam-6490	67	2	this	this	DET
ejpam-6490	67	3	equation	equation	NOUN
ejpam-6490	67	4	is	be	AUX
ejpam-6490	67	5	necessary	necessary	ADJ
ejpam-6490	67	6	for	for	ADP
ejpam-6490	67	7	understanding	understand	VERB
ejpam-6490	67	8	phenomena	phenomenon	NOUN
ejpam-6490	67	9	such	such	ADJ
ejpam-6490	67	10	as	as	ADP
ejpam-6490	67	11	shallow	shallow	ADJ
ejpam-6490	67	12	water	water	NOUN
ejpam-6490	67	13	waves	wave	NOUN
ejpam-6490	67	14	,	,	PUNCT
ejpam-6490	67	15	ion	ion	NOUN
ejpam-6490	67	16	-	-	PUNCT
ejpam-6490	67	17	acoustic	acoustic	ADJ
ejpam-6490	67	18	waves	wave	NOUN
ejpam-6490	67	19	in	in	ADP
ejpam-6490	67	20	plasmas	plasma	NOUN
ejpam-6490	67	21	,	,	PUNCT
ejpam-6490	67	22	and	and	CCONJ
ejpam-6490	67	23	even	even	ADV
ejpam-6490	67	24	optical	optical	ADJ
ejpam-6490	67	25	pulses	pulse	NOUN
ejpam-6490	67	26	in	in	ADP
ejpam-6490	67	27	nonlinear	nonlinear	ADJ
ejpam-6490	67	28	media	medium	NOUN
ejpam-6490	67	29	,	,	PUNCT
ejpam-6490	67	30	where	where	SCONJ
ejpam-6490	67	31	the	the	DET
ejpam-6490	67	32	stability	stability	NOUN
ejpam-6490	67	33	and	and	CCONJ
ejpam-6490	67	34	growth	growth	NOUN
ejpam-6490	67	35	of	of	ADP
ejpam-6490	67	36	the	the	DET
ejpam-6490	67	37	wave	wave	NOUN
ejpam-6490	67	38	crucially	crucially	ADV
ejpam-6490	67	39	depend	depend	VERB
ejpam-6490	67	40	on	on	ADP
ejpam-6490	67	41	the	the	DET
ejpam-6490	67	42	balance	balance	NOUN
ejpam-6490	67	43	between	between	ADP
ejpam-6490	67	44	nonlinearity	nonlinearity	NOUN
ejpam-6490	67	45	and	and	CCONJ
ejpam-6490	67	46	dispersion	dispersion	NOUN
ejpam-6490	67	47	.	.	PUNCT
ejpam-6490	68	1	the	the	DET
ejpam-6490	68	2	main	main	ADJ
ejpam-6490	68	3	objective	objective	NOUN
ejpam-6490	68	4	of	of	ADP
ejpam-6490	68	5	this	this	DET
ejpam-6490	68	6	approach	approach	NOUN
ejpam-6490	68	7	is	be	AUX
ejpam-6490	68	8	to	to	PART
ejpam-6490	68	9	maximize	maximize	VERB
ejpam-6490	68	10	the	the	DET
ejpam-6490	68	11	use	use	NOUN
ejpam-6490	68	12	of	of	ADP
ejpam-6490	68	13	eq	eq	NOUN
ejpam-6490	68	14	.	.	PUNCT
ejpam-6490	69	1	(	(	PUNCT
ejpam-6490	69	2	1	1	NUM
ejpam-6490	69	3	)	)	PUNCT
ejpam-6490	69	4	by	by	ADP
ejpam-6490	69	5	including	include	VERB
ejpam-6490	69	6	its	its	PRON
ejpam-6490	69	7	parameters	parameter	NOUN
ejpam-6490	69	8	to	to	PART
ejpam-6490	69	9	generate	generate	VERB
ejpam-6490	69	10	more	more	ADJ
ejpam-6490	69	11	types	type	NOUN
ejpam-6490	69	12	of	of	ADP
ejpam-6490	69	13	analytical	analytical	ADJ
ejpam-6490	69	14	solutions	solution	NOUN
ejpam-6490	69	15	when	when	SCONJ
ejpam-6490	69	16	utilized	utilize	VERB
ejpam-6490	69	17	in	in	ADP
ejpam-6490	69	18	an	an	DET
ejpam-6490	69	19	appropriate	appropriate	ADJ
ejpam-6490	69	20	,	,	PUNCT
ejpam-6490	69	21	straightforward	straightforward	ADJ
ejpam-6490	69	22	,	,	PUNCT
ejpam-6490	69	23	easy	easy	ADJ
ejpam-6490	69	24	manner	manner	NOUN
ejpam-6490	69	25	,	,	PUNCT
ejpam-6490	69	26	and	and	CCONJ
ejpam-6490	69	27	with	with	ADP
ejpam-6490	69	28	the	the	DET
ejpam-6490	69	29	assistance	assistance	NOUN
ejpam-6490	69	30	of	of	ADP
ejpam-6490	69	31	symbolic	symbolic	ADJ
ejpam-6490	69	32	computations	computation	NOUN
ejpam-6490	69	33	.	.	PUNCT
ejpam-6490	70	1	numerous	numerous	ADJ
ejpam-6490	70	2	studies	study	NOUN
ejpam-6490	70	3	have	have	AUX
ejpam-6490	70	4	employed	employ	VERB
ejpam-6490	70	5	the	the	DET
ejpam-6490	70	6	ime	ime	NOUN
ejpam-6490	70	7	tanh	tanh	NOUN
ejpam-6490	70	8	-	-	PUNCT
ejpam-6490	70	9	function	function	NOUN
ejpam-6490	70	10	approach	approach	NOUN
ejpam-6490	70	11	to	to	PART
ejpam-6490	70	12	examine	examine	VERB
ejpam-6490	70	13	a	a	DET
ejpam-6490	70	14	broad	broad	ADJ
ejpam-6490	70	15	spectrum	spectrum	NOUN
ejpam-6490	70	16	of	of	ADP
ejpam-6490	70	17	solitons	soliton	NOUN
ejpam-6490	70	18	and	and	CCONJ
ejpam-6490	70	19	other	other	ADJ
ejpam-6490	70	20	precise	precise	ADJ
ejpam-6490	70	21	wave	wave	NOUN
ejpam-6490	70	22	solutions	solution	NOUN
ejpam-6490	70	23	[	[	X
ejpam-6490	70	24	13	13	NUM
ejpam-6490	70	25	]	]	PUNCT
ejpam-6490	70	26	.	.	PUNCT
ejpam-6490	71	1	this	this	DET
ejpam-6490	71	2	study	study	NOUN
ejpam-6490	71	3	uses	use	VERB
ejpam-6490	71	4	the	the	DET
ejpam-6490	71	5	ime	ime	ADJ
ejpam-6490	71	6	tanh	tanh	NOUN
ejpam-6490	71	7	-	-	PUNCT
ejpam-6490	71	8	function	function	NOUN
ejpam-6490	71	9	approach	approach	NOUN
ejpam-6490	71	10	for	for	ADP
ejpam-6490	71	11	eq	eq	PROPN
ejpam-6490	71	12	.	.	PUNCT
ejpam-6490	72	1	(	(	PUNCT
ejpam-6490	72	2	1	1	X
ejpam-6490	72	3	)	)	PUNCT
ejpam-6490	72	4	to	to	PART
ejpam-6490	72	5	compute	compute	VERB
ejpam-6490	72	6	various	various	ADJ
ejpam-6490	72	7	solitons	soliton	NOUN
ejpam-6490	72	8	and	and	CCONJ
ejpam-6490	72	9	other	other	ADJ
ejpam-6490	72	10	exact	exact	ADJ
ejpam-6490	72	11	wave	wave	NOUN
ejpam-6490	72	12	solutions	solution	NOUN
ejpam-6490	72	13	.	.	PUNCT
ejpam-6490	73	1	this	this	DET
ejpam-6490	73	2	particular	particular	ADJ
ejpam-6490	73	3	combination	combination	NOUN
ejpam-6490	73	4	is	be	AUX
ejpam-6490	73	5	novel	novel	ADJ
ejpam-6490	73	6	research	research	NOUN
ejpam-6490	73	7	that	that	PRON
ejpam-6490	73	8	has	have	AUX
ejpam-6490	73	9	never	never	ADV
ejpam-6490	73	10	been	be	AUX
ejpam-6490	73	11	done	do	VERB
ejpam-6490	73	12	before	before	ADV
ejpam-6490	73	13	,	,	PUNCT
ejpam-6490	73	14	and	and	CCONJ
ejpam-6490	73	15	it	it	PRON
ejpam-6490	73	16	uses	use	VERB
ejpam-6490	73	17	the	the	DET
ejpam-6490	73	18	ime	ime	ADJ
ejpam-6490	73	19	tanh	tanh	NOUN
ejpam-6490	73	20	-	-	PUNCT
ejpam-6490	73	21	function	function	NOUN
ejpam-6490	73	22	approach	approach	NOUN
ejpam-6490	73	23	to	to	PART
ejpam-6490	73	24	provide	provide	VERB
ejpam-6490	73	25	accurate	accurate	ADJ
ejpam-6490	73	26	analytical	analytical	ADJ
ejpam-6490	73	27	solutions	solution	NOUN
ejpam-6490	73	28	to	to	PART
ejpam-6490	73	29	nonlinear	nonlinear	VERB
ejpam-6490	73	30	partial	partial	ADJ
ejpam-6490	73	31	differential	differential	NOUN
ejpam-6490	73	32	equations	equation	NOUN
ejpam-6490	73	33	(	(	PUNCT
ejpam-6490	73	34	npdes	npde	NOUN
ejpam-6490	73	35	)	)	PUNCT
ejpam-6490	73	36	that	that	PRON
ejpam-6490	73	37	are	be	AUX
ejpam-6490	73	38	insightful	insightful	ADJ
ejpam-6490	73	39	,	,	PUNCT
ejpam-6490	73	40	efficient	efficient	ADJ
ejpam-6490	73	41	,	,	PUNCT
ejpam-6490	73	42	and	and	CCONJ
ejpam-6490	73	43	versatile	versatile	ADJ
ejpam-6490	73	44	.	.	PUNCT
ejpam-6490	74	1	numerous	numerous	ADJ
ejpam-6490	74	2	solutions	solution	NOUN
ejpam-6490	74	3	are	be	AUX
ejpam-6490	74	4	obtained	obtain	VERB
ejpam-6490	74	5	using	use	VERB
ejpam-6490	74	6	this	this	DET
ejpam-6490	74	7	approach	approach	NOUN
ejpam-6490	74	8	,	,	PUNCT
ejpam-6490	74	9	such	such	ADJ
ejpam-6490	74	10	as	as	ADP
ejpam-6490	74	11	the	the	DET
ejpam-6490	74	12	jacobi	jacobi	PROPN
ejpam-6490	74	13	epsilon	epsilon	PROPN
ejpam-6490	74	14	function	function	PROPN
ejpam-6490	74	15	,	,	PUNCT
ejpam-6490	74	16	exponential	exponential	NOUN
ejpam-6490	74	17	,	,	PUNCT
ejpam-6490	74	18	singular	singular	ADJ
ejpam-6490	74	19	periodic	periodic	NOUN
ejpam-6490	74	20	,	,	PUNCT
ejpam-6490	74	21	rational	rational	ADJ
ejpam-6490	74	22	,	,	PUNCT
ejpam-6490	74	23	dark	dark	ADJ
ejpam-6490	74	24	soliton	soliton	NOUN
ejpam-6490	74	25	,	,	PUNCT
ejpam-6490	74	26	and	and	CCONJ
ejpam-6490	74	27	bright	bright	ADJ
ejpam-6490	74	28	soliton	soliton	NOUN
ejpam-6490	74	29	solutions	solution	NOUN
ejpam-6490	74	30	.	.	PUNCT
ejpam-6490	75	1	furthermore	furthermore	ADV
ejpam-6490	75	2	,	,	PUNCT
ejpam-6490	75	3	the	the	DET
ejpam-6490	75	4	recovered	recover	VERB
ejpam-6490	75	5	solutions	solution	NOUN
ejpam-6490	75	6	confirm	confirm	VERB
ejpam-6490	75	7	the	the	DET
ejpam-6490	75	8	effectiveness	effectiveness	NOUN
ejpam-6490	75	9	and	and	CCONJ
ejpam-6490	75	10	strength	strength	NOUN
ejpam-6490	75	11	of	of	ADP
ejpam-6490	75	12	the	the	DET
ejpam-6490	75	13	used	use	VERB
ejpam-6490	75	14	approach	approach	NOUN
ejpam-6490	75	15	.	.	PUNCT
ejpam-6490	76	1	the	the	DET
ejpam-6490	76	2	structure	structure	NOUN
ejpam-6490	76	3	of	of	ADP
ejpam-6490	76	4	this	this	DET
ejpam-6490	76	5	article	article	NOUN
ejpam-6490	76	6	is	be	AUX
ejpam-6490	76	7	as	as	SCONJ
ejpam-6490	76	8	follows	follow	VERB
ejpam-6490	76	9	.	.	PUNCT
ejpam-6490	77	1	an	an	DET
ejpam-6490	77	2	outline	outline	NOUN
ejpam-6490	77	3	of	of	ADP
ejpam-6490	77	4	the	the	DET
ejpam-6490	77	5	suggested	suggest	VERB
ejpam-6490	77	6	model	model	NOUN
ejpam-6490	77	7	and	and	CCONJ
ejpam-6490	77	8	its	its	PRON
ejpam-6490	77	9	theoretical	theoretical	ADJ
ejpam-6490	77	10	underpinnings	underpinning	NOUN
ejpam-6490	77	11	is	be	AUX
ejpam-6490	77	12	given	give	VERB
ejpam-6490	77	13	in	in	ADP
ejpam-6490	77	14	section	section	NOUN
ejpam-6490	77	15	1	1	NUM
ejpam-6490	77	16	.	.	PUNCT
ejpam-6490	78	1	the	the	DET
ejpam-6490	78	2	main	main	ADJ
ejpam-6490	78	3	components	component	NOUN
ejpam-6490	78	4	of	of	ADP
ejpam-6490	78	5	the	the	DET
ejpam-6490	78	6	ime	ime	PROPN
ejpam-6490	78	7	tanhfunction	tanhfunction	NOUN
ejpam-6490	78	8	algorithm	algorithm	NOUN
ejpam-6490	78	9	are	be	AUX
ejpam-6490	78	10	presented	present	VERB
ejpam-6490	78	11	in	in	ADP
ejpam-6490	78	12	section	section	NOUN
ejpam-6490	78	13	2	2	NUM
ejpam-6490	78	14	.	.	PUNCT
ejpam-6490	79	1	in	in	ADP
ejpam-6490	79	2	section	section	NOUN
ejpam-6490	79	3	3	3	NUM
ejpam-6490	79	4	,	,	PUNCT
ejpam-6490	79	5	the	the	DET
ejpam-6490	79	6	symbolic	symbolic	ADJ
ejpam-6490	79	7	computations	computation	NOUN
ejpam-6490	79	8	are	be	AUX
ejpam-6490	79	9	completed	complete	VERB
ejpam-6490	79	10	and	and	CCONJ
ejpam-6490	79	11	the	the	DET
ejpam-6490	79	12	results	result	NOUN
ejpam-6490	79	13	are	be	AUX
ejpam-6490	79	14	summarized	summarize	VERB
ejpam-6490	79	15	using	use	VERB
ejpam-6490	79	16	the	the	DET
ejpam-6490	79	17	wolfram	wolfram	PROPN
ejpam-6490	79	18	mathematica	mathematica	PROPN
ejpam-6490	79	19	program	program	PROPN
ejpam-6490	79	20	.	.	PUNCT
ejpam-6490	80	1	section	section	NOUN
ejpam-6490	80	2	4	4	NUM
ejpam-6490	80	3	presents	present	VERB
ejpam-6490	80	4	multiple	multiple	ADJ
ejpam-6490	80	5	dynamic	dynamic	ADJ
ejpam-6490	80	6	wave	wave	NOUN
ejpam-6490	80	7	patterns	pattern	NOUN
ejpam-6490	80	8	of	of	ADP
ejpam-6490	80	9	different	different	ADJ
ejpam-6490	80	10	soliton	soliton	NOUN
ejpam-6490	80	11	solutions	solution	NOUN
ejpam-6490	80	12	graphically	graphically	ADV
ejpam-6490	80	13	using	use	VERB
ejpam-6490	80	14	3	3	NUM
ejpam-6490	80	15	-	-	SYM
ejpam-6490	80	16	d	d	NOUN
ejpam-6490	80	17	,	,	PUNCT
ejpam-6490	80	18	contour	contour	NOUN
ejpam-6490	80	19	,	,	PUNCT
ejpam-6490	80	20	and	and	CCONJ
ejpam-6490	80	21	2	2	NUM
ejpam-6490	80	22	-	-	PUNCT
ejpam-6490	80	23	d	d	NOUN
ejpam-6490	80	24	simulations	simulation	NOUN
ejpam-6490	80	25	and	and	CCONJ
ejpam-6490	80	26	their	their	PRON
ejpam-6490	80	27	discussion	discussion	NOUN
ejpam-6490	80	28	.	.	PUNCT
ejpam-6490	81	1	section	section	NOUN
ejpam-6490	81	2	5	5	NUM
ejpam-6490	81	3	presents	present	VERB
ejpam-6490	81	4	a	a	DET
ejpam-6490	81	5	novel	novel	ADJ
ejpam-6490	81	6	comparison	comparison	NOUN
ejpam-6490	81	7	with	with	ADP
ejpam-6490	81	8	the	the	DET
ejpam-6490	81	9	most	most	ADV
ejpam-6490	81	10	common	common	ADJ
ejpam-6490	81	11	methods	method	NOUN
ejpam-6490	81	12	in	in	ADP
ejpam-6490	81	13	the	the	DET
ejpam-6490	81	14	literature	literature	NOUN
ejpam-6490	81	15	.	.	PUNCT
ejpam-6490	82	1	an	an	DET
ejpam-6490	82	2	implementation	implementation	NOUN
ejpam-6490	82	3	of	of	ADP
ejpam-6490	82	4	the	the	DET
ejpam-6490	82	5	linear	linear	ADJ
ejpam-6490	82	6	stability	stability	NOUN
ejpam-6490	82	7	analysis	analysis	NOUN
ejpam-6490	82	8	on	on	ADP
ejpam-6490	82	9	the	the	DET
ejpam-6490	82	10	governing	govern	VERB
ejpam-6490	82	11	model	model	NOUN
ejpam-6490	82	12	is	be	AUX
ejpam-6490	82	13	discussed	discuss	VERB
ejpam-6490	82	14	in	in	ADP
ejpam-6490	82	15	section	section	NOUN
ejpam-6490	82	16	6	6	NUM
ejpam-6490	82	17	.	.	PUNCT
ejpam-6490	83	1	the	the	DET
ejpam-6490	83	2	study	study	NOUN
ejpam-6490	83	3	conclusions	conclusion	NOUN
ejpam-6490	83	4	are	be	AUX
ejpam-6490	83	5	reported	report	VERB
ejpam-6490	83	6	in	in	ADP
ejpam-6490	83	7	section	section	NOUN
ejpam-6490	83	8	7	7	NUM
ejpam-6490	83	9	.	.	PUNCT
ejpam-6490	84	1	w.	w.	PROPN
ejpam-6490	84	2	w.	w.	PROPN
ejpam-6490	84	3	mohammed	mohammed	PROPN
ejpam-6490	84	4	et	et	PROPN
ejpam-6490	84	5	al	al	PROPN
ejpam-6490	84	6	.	.	PUNCT
ejpam-6490	84	7	/	/	SYM
ejpam-6490	84	8	eur	eur	PROPN
ejpam-6490	84	9	.	.	PUNCT
ejpam-6490	85	1	j.	j.	PROPN
ejpam-6490	85	2	pure	pure	PROPN
ejpam-6490	85	3	appl	appl	PROPN
ejpam-6490	85	4	.	.	PROPN
ejpam-6490	85	5	math	math	PROPN
ejpam-6490	85	6	,	,	PUNCT
ejpam-6490	85	7	18	18	NUM
ejpam-6490	85	8	(	(	PUNCT
ejpam-6490	85	9	3	3	NUM
ejpam-6490	85	10	)	)	PUNCT
ejpam-6490	85	11	(	(	PUNCT
ejpam-6490	85	12	2025	2025	NUM
ejpam-6490	85	13	)	)	PUNCT
ejpam-6490	85	14	,	,	PUNCT
ejpam-6490	85	15	6490	6490	NUM
ejpam-6490	85	16	5	5	NUM
ejpam-6490	85	17	of	of	ADP
ejpam-6490	85	18	23	23	NUM
ejpam-6490	85	19	2	2	NUM
ejpam-6490	85	20	.	.	NUM
ejpam-6490	85	21	improved	improve	VERB
ejpam-6490	85	22	modified	modify	VERB
ejpam-6490	85	23	extended	extend	VERB
ejpam-6490	85	24	tanh	tanh	NOUN
ejpam-6490	85	25	-	-	PUNCT
ejpam-6490	85	26	function	function	NOUN
ejpam-6490	85	27	method	method	NOUN
ejpam-6490	85	28	the	the	DET
ejpam-6490	85	29	general	general	ADJ
ejpam-6490	85	30	procedures	procedure	NOUN
ejpam-6490	85	31	of	of	ADP
ejpam-6490	85	32	the	the	DET
ejpam-6490	85	33	ime	ime	ADJ
ejpam-6490	85	34	tanh	tanh	NOUN
ejpam-6490	85	35	-	-	PUNCT
ejpam-6490	85	36	function	function	NOUN
ejpam-6490	85	37	method	method	NOUN
ejpam-6490	85	38	[	[	X
ejpam-6490	85	39	26	26	NUM
ejpam-6490	85	40	,	,	PUNCT
ejpam-6490	85	41	27	27	NUM
ejpam-6490	85	42	]	]	PUNCT
ejpam-6490	85	43	will	will	AUX
ejpam-6490	85	44	be	be	AUX
ejpam-6490	85	45	shown	show	VERB
ejpam-6490	85	46	in	in	ADP
ejpam-6490	85	47	this	this	DET
ejpam-6490	85	48	section	section	NOUN
ejpam-6490	85	49	,	,	PUNCT
ejpam-6490	85	50	in	in	ADP
ejpam-6490	85	51	addition	addition	NOUN
ejpam-6490	85	52	to	to	ADP
ejpam-6490	85	53	its	its	PRON
ejpam-6490	85	54	motivation	motivation	NOUN
ejpam-6490	85	55	and	and	CCONJ
ejpam-6490	85	56	advantages	advantage	NOUN
ejpam-6490	85	57	in	in	ADP
ejpam-6490	85	58	solving	solve	VERB
ejpam-6490	85	59	npde	npde	NOUN
ejpam-6490	85	60	.	.	PUNCT
ejpam-6490	86	1	2.1	2.1	NUM
ejpam-6490	86	2	.	.	PUNCT
ejpam-6490	87	1	quick	quick	ADJ
ejpam-6490	87	2	view	view	NOUN
ejpam-6490	87	3	of	of	ADP
ejpam-6490	87	4	the	the	DET
ejpam-6490	87	5	method	method	NOUN
ejpam-6490	87	6	as	as	SCONJ
ejpam-6490	87	7	we	we	PRON
ejpam-6490	87	8	start	start	AUX
ejpam-6490	87	9	looking	look	VERB
ejpam-6490	87	10	at	at	ADP
ejpam-6490	87	11	the	the	DET
ejpam-6490	87	12	npde	npde	NOUN
ejpam-6490	87	13	that	that	PRON
ejpam-6490	87	14	’s	’s	AUX
ejpam-6490	87	15	shown	show	VERB
ejpam-6490	87	16	below	below	ADP
ejpam-6490	87	17	[	[	X
ejpam-6490	87	18	28	28	NUM
ejpam-6490	87	19	,	,	PUNCT
ejpam-6490	87	20	29	29	NUM
ejpam-6490	87	21	]	]	PUNCT
ejpam-6490	87	22	:	:	PUNCT
ejpam-6490	87	23	j	j	PROPN
ejpam-6490	87	24	(	(	PUNCT
ejpam-6490	87	25	ϕ	ϕ	NOUN
ejpam-6490	87	26	,	,	PUNCT
ejpam-6490	87	27	ϕx	ϕx	INTJ
ejpam-6490	87	28	,	,	PUNCT
ejpam-6490	87	29	ϕy	ϕy	NOUN
ejpam-6490	87	30	,	,	PUNCT
ejpam-6490	87	31	ϕz	ϕz	PROPN
ejpam-6490	87	32	,	,	PUNCT
ejpam-6490	87	33	ϕt	ϕt	ADV
ejpam-6490	87	34	,	,	PUNCT
ejpam-6490	87	35	ϕxx	ϕxx	PROPN
ejpam-6490	87	36	,	,	PUNCT
ejpam-6490	87	37	ϕxy	ϕxy	NOUN
ejpam-6490	87	38	,	,	PUNCT
ejpam-6490	87	39	ϕxz	ϕxz	NOUN
ejpam-6490	87	40	,	,	PUNCT
ejpam-6490	87	41	.	.	PUNCT
ejpam-6490	87	42	.	.	PUNCT
ejpam-6490	87	43	.	.	PUNCT
ejpam-6490	87	44	)	)	PUNCT
ejpam-6490	88	1	=	=	PUNCT
ejpam-6490	88	2	0	0	NUM
ejpam-6490	88	3	,	,	PUNCT
ejpam-6490	88	4	(	(	PUNCT
ejpam-6490	88	5	2	2	X
ejpam-6490	88	6	)	)	PUNCT
ejpam-6490	88	7	where	where	SCONJ
ejpam-6490	88	8	j	j	PROPN
ejpam-6490	88	9	is	be	AUX
ejpam-6490	88	10	a	a	DET
ejpam-6490	88	11	polynomial	polynomial	NOUN
ejpam-6490	88	12	that	that	PRON
ejpam-6490	88	13	is	be	AUX
ejpam-6490	88	14	composed	compose	VERB
ejpam-6490	88	15	of	of	ADP
ejpam-6490	88	16	ϕ(x	ϕ(x	PROPN
ejpam-6490	88	17	,	,	PUNCT
ejpam-6490	88	18	y	y	PROPN
ejpam-6490	88	19	,	,	PUNCT
ejpam-6490	88	20	z	z	PROPN
ejpam-6490	88	21	,	,	PUNCT
ejpam-6490	88	22	t	t	PROPN
ejpam-6490	88	23	)	)	PUNCT
ejpam-6490	88	24	and	and	CCONJ
ejpam-6490	88	25	some	some	PRON
ejpam-6490	88	26	of	of	ADP
ejpam-6490	88	27	ϕ	ϕ	X
ejpam-6490	88	28	partial	partial	ADJ
ejpam-6490	88	29	derivatives	derivative	NOUN
ejpam-6490	88	30	with	with	ADP
ejpam-6490	88	31	respect	respect	NOUN
ejpam-6490	88	32	to	to	ADP
ejpam-6490	88	33	both	both	DET
ejpam-6490	88	34	time	time	NOUN
ejpam-6490	88	35	(	(	PUNCT
ejpam-6490	88	36	t	t	NOUN
ejpam-6490	88	37	)	)	PUNCT
ejpam-6490	88	38	and	and	CCONJ
ejpam-6490	88	39	the	the	DET
ejpam-6490	88	40	space	space	NOUN
ejpam-6490	88	41	dimensions	dimension	NOUN
ejpam-6490	88	42	of	of	ADP
ejpam-6490	88	43	the	the	DET
ejpam-6490	88	44	used	use	VERB
ejpam-6490	88	45	dynamic	dynamic	ADJ
ejpam-6490	88	46	system	system	NOUN
ejpam-6490	88	47	(	(	PUNCT
ejpam-6490	88	48	x	x	X
ejpam-6490	88	49	,	,	PUNCT
ejpam-6490	88	50	y	y	PROPN
ejpam-6490	88	51	,	,	PUNCT
ejpam-6490	88	52	z	z	NOUN
ejpam-6490	88	53	)	)	PUNCT
ejpam-6490	88	54	.	.	PUNCT
ejpam-6490	89	1	procedure-(i	procedure-(i	NUM
ejpam-6490	89	2	):	):	PUNCT
ejpam-6490	89	3	considering	consider	VERB
ejpam-6490	89	4	the	the	DET
ejpam-6490	89	5	following	follow	VERB
ejpam-6490	89	6	wave	wave	NOUN
ejpam-6490	89	7	transformation	transformation	NOUN
ejpam-6490	89	8	ϕ(x	ϕ(x	PROPN
ejpam-6490	89	9	,	,	PUNCT
ejpam-6490	89	10	y	y	PROPN
ejpam-6490	89	11	,	,	PUNCT
ejpam-6490	89	12	z	z	PROPN
ejpam-6490	89	13	,	,	PUNCT
ejpam-6490	89	14	t	t	PROPN
ejpam-6490	89	15	)	)	PUNCT
ejpam-6490	89	16	=	=	SYM
ejpam-6490	90	1	r(η	r(η	VERB
ejpam-6490	90	2	)	)	PUNCT
ejpam-6490	90	3	;	;	PUNCT
ejpam-6490	90	4	η	η	PROPN
ejpam-6490	90	5	=	=	SYM
ejpam-6490	90	6	x+	x+	PROPN
ejpam-6490	90	7	ky	ky	PROPN
ejpam-6490	90	8	+	+	CCONJ
ejpam-6490	90	9	ℵz	ℵz	PROPN
ejpam-6490	90	10	−	−	PROPN
ejpam-6490	90	11	ωt	ωt	PROPN
ejpam-6490	90	12	,	,	PUNCT
ejpam-6490	90	13	(	(	PUNCT
ejpam-6490	90	14	3	3	NUM
ejpam-6490	90	15	)	)	PUNCT
ejpam-6490	90	16	in	in	ADP
ejpam-6490	90	17	which	which	PRON
ejpam-6490	90	18	k	k	NOUN
ejpam-6490	90	19	,	,	PUNCT
ejpam-6490	90	20	ℵ	ℵ	PROPN
ejpam-6490	90	21	and	and	CCONJ
ejpam-6490	90	22	ω	ω	NUM
ejpam-6490	90	23	are	be	AUX
ejpam-6490	90	24	real	real	ADV
ejpam-6490	90	25	valued	value	VERB
ejpam-6490	90	26	constants	constant	NOUN
ejpam-6490	90	27	.	.	PUNCT
ejpam-6490	91	1	r	r	NOUN
ejpam-6490	91	2	acts	act	NOUN
ejpam-6490	91	3	as	as	ADP
ejpam-6490	91	4	the	the	DET
ejpam-6490	91	5	function	function	NOUN
ejpam-6490	91	6	of	of	ADP
ejpam-6490	91	7	the	the	DET
ejpam-6490	91	8	obtained	obtain	VERB
ejpam-6490	91	9	solution	solution	NOUN
ejpam-6490	91	10	.	.	PUNCT
ejpam-6490	92	1	considering	consider	VERB
ejpam-6490	92	2	eq	eq	ADP
ejpam-6490	92	3	.	.	PUNCT
ejpam-6490	93	1	(	(	PUNCT
ejpam-6490	93	2	3	3	NUM
ejpam-6490	93	3	)	)	PUNCT
ejpam-6490	93	4	and	and	CCONJ
ejpam-6490	93	5	eq	eq	NOUN
ejpam-6490	93	6	.	.	PUNCT
ejpam-6490	94	1	(	(	PUNCT
ejpam-6490	94	2	2	2	X
ejpam-6490	94	3	)	)	PUNCT
ejpam-6490	94	4	together	together	ADV
ejpam-6490	94	5	,	,	PUNCT
ejpam-6490	94	6	with	with	ADP
ejpam-6490	94	7	performing	perform	VERB
ejpam-6490	94	8	rearranging	rearrange	VERB
ejpam-6490	94	9	,	,	PUNCT
ejpam-6490	94	10	the	the	DET
ejpam-6490	94	11	following	follow	VERB
ejpam-6490	94	12	nonlinear	nonlinear	ADJ
ejpam-6490	94	13	ordinary	ordinary	ADJ
ejpam-6490	94	14	differential	differential	ADJ
ejpam-6490	94	15	equation	equation	NOUN
ejpam-6490	94	16	(	(	PUNCT
ejpam-6490	94	17	nlode	nlode	ADJ
ejpam-6490	94	18	)	)	PUNCT
ejpam-6490	94	19	form	form	NOUN
ejpam-6490	94	20	is	be	AUX
ejpam-6490	94	21	derived	derive	VERB
ejpam-6490	94	22	:	:	PUNCT
ejpam-6490	94	23	z(r	z(r	NOUN
ejpam-6490	94	24	,	,	PUNCT
ejpam-6490	94	25	r′	r′	NUM
ejpam-6490	94	26	,	,	PUNCT
ejpam-6490	94	27	r′′	r′′	VERB
ejpam-6490	94	28	,	,	PUNCT
ejpam-6490	94	29	r′′′	r′′′	NOUN
ejpam-6490	94	30	,	,	PUNCT
ejpam-6490	94	31	.	.	PUNCT
ejpam-6490	94	32	.	.	PUNCT
ejpam-6490	94	33	.	.	PUNCT
ejpam-6490	94	34	)	)	PUNCT
ejpam-6490	95	1	=	=	PUNCT
ejpam-6490	95	2	0	0	X
ejpam-6490	95	3	.	.	PUNCT
ejpam-6490	96	1	(	(	PUNCT
ejpam-6490	96	2	4	4	X
ejpam-6490	96	3	)	)	PUNCT
ejpam-6490	96	4	procedure-(ii	procedure-(ii	PROPN
ejpam-6490	96	5	):	):	PUNCT
ejpam-6490	96	6	in	in	ADP
ejpam-6490	96	7	order	order	NOUN
ejpam-6490	96	8	to	to	PART
ejpam-6490	96	9	achieve	achieve	VERB
ejpam-6490	96	10	the	the	DET
ejpam-6490	96	11	solution	solution	NOUN
ejpam-6490	96	12	of	of	ADP
ejpam-6490	96	13	eq	eq	PROPN
ejpam-6490	96	14	.	.	PUNCT
ejpam-6490	97	1	(	(	PUNCT
ejpam-6490	97	2	4	4	NUM
ejpam-6490	97	3	)	)	PUNCT
ejpam-6490	97	4	according	accord	VERB
ejpam-6490	97	5	to	to	ADP
ejpam-6490	97	6	the	the	DET
ejpam-6490	97	7	applied	apply	VERB
ejpam-6490	97	8	method	method	NOUN
ejpam-6490	97	9	,	,	PUNCT
ejpam-6490	97	10	the	the	DET
ejpam-6490	97	11	solution	solution	NOUN
ejpam-6490	97	12	is	be	AUX
ejpam-6490	97	13	proposed	propose	VERB
ejpam-6490	97	14	in	in	ADP
ejpam-6490	97	15	the	the	DET
ejpam-6490	97	16	following	following	ADJ
ejpam-6490	97	17	truncated	truncated	ADJ
ejpam-6490	97	18	series	series	NOUN
ejpam-6490	97	19	:	:	PUNCT
ejpam-6490	97	20	r(η	r(η	NUM
ejpam-6490	97	21	)	)	PUNCT
ejpam-6490	98	1	=	=	SYM
ejpam-6490	98	2	n∑	n∑	PROPN
ejpam-6490	98	3	i=0	i=0	PROPN
ejpam-6490	98	4	diw	diw	X
ejpam-6490	98	5	i(η	i(η	PROPN
ejpam-6490	98	6	)	)	PUNCT
ejpam-6490	99	1	+	+	NUM
ejpam-6490	99	2	n∑	n∑	PROPN
ejpam-6490	99	3	i=1	i=1	PROPN
ejpam-6490	99	4	fiw−i(η	fiw−i(η	PROPN
ejpam-6490	99	5	)	)	PUNCT
ejpam-6490	99	6	,	,	PUNCT
ejpam-6490	99	7	(	(	PUNCT
ejpam-6490	99	8	5	5	X
ejpam-6490	99	9	)	)	PUNCT
ejpam-6490	99	10	where	where	SCONJ
ejpam-6490	99	11	d0	d0	NOUN
ejpam-6490	99	12	,	,	PUNCT
ejpam-6490	99	13	d1	d1	PROPN
ejpam-6490	99	14	...	...	PUNCT
ejpam-6490	99	15	,	,	PUNCT
ejpam-6490	99	16	dn	dn	NOUN
ejpam-6490	99	17	and	and	CCONJ
ejpam-6490	99	18	f1	f1	PROPN
ejpam-6490	99	19	,	,	PUNCT
ejpam-6490	99	20	...	...	PUNCT
ejpam-6490	99	21	,	,	PUNCT
ejpam-6490	99	22	fn	fn	PROPN
ejpam-6490	99	23	are	be	AUX
ejpam-6490	99	24	real	real	ADJ
ejpam-6490	99	25	constants	constant	NOUN
ejpam-6490	99	26	to	to	PART
ejpam-6490	99	27	be	be	AUX
ejpam-6490	99	28	calculated	calculate	VERB
ejpam-6490	99	29	,	,	PUNCT
ejpam-6490	99	30	under	under	ADP
ejpam-6490	99	31	condition	condition	NOUN
ejpam-6490	99	32	that	that	SCONJ
ejpam-6490	99	33	dn	dn	PROPN
ejpam-6490	99	34	and	and	CCONJ
ejpam-6490	99	35	fn	fn	PROPN
ejpam-6490	99	36	should	should	AUX
ejpam-6490	99	37	not	not	PART
ejpam-6490	99	38	be	be	AUX
ejpam-6490	99	39	zero	zero	NUM
ejpam-6490	99	40	,	,	PUNCT
ejpam-6490	99	41	simultaneously	simultaneously	ADV
ejpam-6490	99	42	.	.	PUNCT
ejpam-6490	100	1	procedure-(iii	procedure-(iii	NOUN
ejpam-6490	100	2	):	):	PUNCT
ejpam-6490	100	3	by	by	ADP
ejpam-6490	100	4	applying	apply	VERB
ejpam-6490	100	5	the	the	DET
ejpam-6490	100	6	homogeneous	homogeneous	ADJ
ejpam-6490	100	7	balance	balance	NOUN
ejpam-6490	100	8	principle	principle	NOUN
ejpam-6490	100	9	between	between	ADP
ejpam-6490	100	10	the	the	DET
ejpam-6490	100	11	nonlinearity	nonlinearity	NOUN
ejpam-6490	100	12	and	and	CCONJ
ejpam-6490	100	13	the	the	DET
ejpam-6490	100	14	dispersion	dispersion	NOUN
ejpam-6490	100	15	of	of	ADP
ejpam-6490	100	16	eq	eq	PROPN
ejpam-6490	100	17	.	.	PUNCT
ejpam-6490	101	1	(	(	PUNCT
ejpam-6490	101	2	4	4	NUM
ejpam-6490	101	3	)	)	PUNCT
ejpam-6490	101	4	to	to	PART
ejpam-6490	101	5	determine	determine	VERB
ejpam-6490	101	6	the	the	DET
ejpam-6490	101	7	value	value	NOUN
ejpam-6490	101	8	of	of	ADP
ejpam-6490	101	9	the	the	DET
ejpam-6490	101	10	balancing	balance	VERB
ejpam-6490	101	11	constant	constant	ADJ
ejpam-6490	101	12	n.	n.	NOUN
ejpam-6490	101	13	in	in	ADP
ejpam-6490	101	14	addition	addition	NOUN
ejpam-6490	101	15	to	to	ADP
ejpam-6490	101	16	considering	consider	VERB
ejpam-6490	101	17	the	the	DET
ejpam-6490	101	18	following	follow	VERB
ejpam-6490	101	19	constraint	constraint	NOUN
ejpam-6490	101	20	for	for	ADP
ejpam-6490	101	21	w(η	w(η	PROPN
ejpam-6490	101	22	):	):	PUNCT
ejpam-6490	101	23	w	w	PROPN
ejpam-6490	101	24	′(η	′(η	NOUN
ejpam-6490	101	25	)	)	PUNCT
ejpam-6490	101	26	=	=	PUNCT
ejpam-6490	102	1	ϵ	ϵ	PART
ejpam-6490	102	2	√	√	VERB
ejpam-6490	102	3	τ0	τ0	NOUN
ejpam-6490	102	4	+	+	CCONJ
ejpam-6490	102	5	τ1w(η	τ1w(η	PROPN
ejpam-6490	102	6	)	)	PUNCT
ejpam-6490	103	1	+	+	CCONJ
ejpam-6490	104	1	τ2w2(η	τ2w2(η	X
ejpam-6490	104	2	)	)	PUNCT
ejpam-6490	104	3	+	+	CCONJ
ejpam-6490	104	4	τ3w3(η	τ3w3(η	X
ejpam-6490	104	5	)	)	PUNCT
ejpam-6490	104	6	+	+	NUM
ejpam-6490	104	7	τ4w4(η	τ4w4(η	NOUN
ejpam-6490	104	8	)	)	PUNCT
ejpam-6490	104	9	,	,	PUNCT
ejpam-6490	104	10	(	(	PUNCT
ejpam-6490	104	11	6	6	NUM
ejpam-6490	104	12	)	)	PUNCT
ejpam-6490	104	13	where	where	SCONJ
ejpam-6490	104	14	ϵ	ϵ	X
ejpam-6490	104	15	=	=	SYM
ejpam-6490	104	16	±1	±1	VERB
ejpam-6490	104	17	and	and	CCONJ
ejpam-6490	104	18	τm	τm	X
ejpam-6490	104	19	(	(	PUNCT
ejpam-6490	104	20	0	0	NUM
ejpam-6490	104	21	≤	≤	NUM
ejpam-6490	104	22	m	m	VERB
ejpam-6490	104	23	≤	≤	NOUN
ejpam-6490	104	24	4	4	NUM
ejpam-6490	104	25	)	)	PUNCT
ejpam-6490	104	26	are	be	AUX
ejpam-6490	104	27	real	real	ADV
ejpam-6490	104	28	-	-	PUNCT
ejpam-6490	104	29	valued	value	VERB
ejpam-6490	104	30	constants	constant	NOUN
ejpam-6490	104	31	.	.	PUNCT
ejpam-6490	105	1	several	several	ADJ
ejpam-6490	105	2	types	type	NOUN
ejpam-6490	105	3	of	of	ADP
ejpam-6490	105	4	fundamental	fundamental	ADJ
ejpam-6490	105	5	solutions	solution	NOUN
ejpam-6490	105	6	are	be	AUX
ejpam-6490	105	7	obtained	obtain	VERB
ejpam-6490	105	8	from	from	ADP
ejpam-6490	105	9	eq	eq	PROPN
ejpam-6490	105	10	.	.	PUNCT
ejpam-6490	106	1	(	(	PUNCT
ejpam-6490	106	2	6	6	X
ejpam-6490	106	3	)	)	PUNCT
ejpam-6490	106	4	using	use	VERB
ejpam-6490	106	5	the	the	DET
ejpam-6490	106	6	many	many	ADJ
ejpam-6490	106	7	potential	potential	ADJ
ejpam-6490	106	8	values	value	NOUN
ejpam-6490	106	9	of	of	ADP
ejpam-6490	106	10	τ0	τ0	NOUN
ejpam-6490	106	11	,	,	PUNCT
ejpam-6490	106	12	τ1	τ1	NOUN
ejpam-6490	106	13	,	,	PUNCT
ejpam-6490	106	14	τ2	τ2	PROPN
ejpam-6490	106	15	,	,	PUNCT
ejpam-6490	106	16	τ3	τ3	NOUN
ejpam-6490	106	17	and	and	CCONJ
ejpam-6490	106	18	τ4	τ4	NOUN
ejpam-6490	106	19	which	which	PRON
ejpam-6490	106	20	are	be	AUX
ejpam-6490	106	21	shown	show	VERB
ejpam-6490	106	22	in	in	ADP
ejpam-6490	106	23	appendix	appendix	ADJ
ejpam-6490	106	24	a.	a.	NOUN
ejpam-6490	106	25	procedure-(iv	procedure-(iv	PROPN
ejpam-6490	106	26	):	):	PUNCT
ejpam-6490	106	27	an	an	DET
ejpam-6490	106	28	equation	equation	NOUN
ejpam-6490	106	29	in	in	ADP
ejpam-6490	106	30	powers	power	NOUN
ejpam-6490	106	31	of	of	ADP
ejpam-6490	106	32	w(η	w(η	PROPN
ejpam-6490	106	33	)	)	PUNCT
ejpam-6490	106	34	is	be	AUX
ejpam-6490	106	35	obtained	obtain	VERB
ejpam-6490	106	36	by	by	ADP
ejpam-6490	106	37	inserting	insert	VERB
ejpam-6490	106	38	eqs	eqs	PROPN
ejpam-6490	106	39	.	.	PUNCT
ejpam-6490	107	1	(	(	PUNCT
ejpam-6490	107	2	5	5	NUM
ejpam-6490	107	3	)	)	PUNCT
ejpam-6490	107	4	and	and	CCONJ
ejpam-6490	107	5	(	(	PUNCT
ejpam-6490	107	6	6	6	NUM
ejpam-6490	107	7	)	)	PUNCT
ejpam-6490	107	8	into	into	ADP
ejpam-6490	107	9	eq	eq	NOUN
ejpam-6490	107	10	.	.	PUNCT
ejpam-6490	108	1	(	(	PUNCT
ejpam-6490	108	2	4	4	NUM
ejpam-6490	108	3	)	)	PUNCT
ejpam-6490	108	4	.	.	PUNCT
ejpam-6490	109	1	the	the	DET
ejpam-6490	109	2	system	system	NOUN
ejpam-6490	109	3	of	of	ADP
ejpam-6490	109	4	algebraic	algebraic	PROPN
ejpam-6490	109	5	non	non	ADJ
ejpam-6490	109	6	-	-	ADJ
ejpam-6490	109	7	linear	linear	ADJ
ejpam-6490	109	8	equations	equation	NOUN
ejpam-6490	109	9	that	that	PRON
ejpam-6490	109	10	results	result	VERB
ejpam-6490	109	11	from	from	ADP
ejpam-6490	109	12	applying	apply	VERB
ejpam-6490	109	13	algebraic	algebraic	ADJ
ejpam-6490	109	14	polynomial	polynomial	ADJ
ejpam-6490	109	15	operations	operation	NOUN
ejpam-6490	109	16	on	on	ADP
ejpam-6490	109	17	the	the	DET
ejpam-6490	109	18	coefficients	coefficient	NOUN
ejpam-6490	109	19	of	of	ADP
ejpam-6490	109	20	w(η	w(η	PROPN
ejpam-6490	109	21	)	)	PUNCT
ejpam-6490	109	22	and	and	CCONJ
ejpam-6490	109	23	equating	equate	VERB
ejpam-6490	109	24	them	they	PRON
ejpam-6490	109	25	to	to	ADP
ejpam-6490	109	26	zero	zero	NUM
ejpam-6490	109	27	may	may	AUX
ejpam-6490	109	28	be	be	AUX
ejpam-6490	109	29	solved	solve	VERB
ejpam-6490	109	30	with	with	ADP
ejpam-6490	109	31	a	a	DET
ejpam-6490	109	32	variety	variety	NOUN
ejpam-6490	109	33	of	of	ADP
ejpam-6490	109	34	software	software	NOUN
ejpam-6490	109	35	applications	application	NOUN
ejpam-6490	109	36	,	,	PUNCT
ejpam-6490	109	37	including	include	VERB
ejpam-6490	109	38	the	the	DET
ejpam-6490	109	39	wolfram	wolfram	PROPN
ejpam-6490	109	40	mathematica	mathematica	PROPN
ejpam-6490	109	41	.	.	PUNCT
ejpam-6490	110	1	this	this	PRON
ejpam-6490	110	2	will	will	AUX
ejpam-6490	110	3	finally	finally	ADV
ejpam-6490	110	4	lead	lead	VERB
ejpam-6490	110	5	to	to	ADP
ejpam-6490	110	6	the	the	DET
ejpam-6490	110	7	production	production	NOUN
ejpam-6490	110	8	of	of	ADP
ejpam-6490	110	9	several	several	ADJ
ejpam-6490	110	10	exact	exact	ADJ
ejpam-6490	110	11	solutions	solution	NOUN
ejpam-6490	110	12	for	for	ADP
ejpam-6490	110	13	eq	eq	PROPN
ejpam-6490	110	14	.	.	PUNCT
ejpam-6490	111	1	(	(	PUNCT
ejpam-6490	111	2	2	2	NUM
ejpam-6490	111	3	)	)	PUNCT
ejpam-6490	111	4	.	.	PUNCT
ejpam-6490	112	1	the	the	DET
ejpam-6490	112	2	flowchart	flowchart	PROPN
ejpam-6490	112	3	in	in	ADP
ejpam-6490	112	4	figure	figure	NOUN
ejpam-6490	112	5	(	(	PUNCT
ejpam-6490	112	6	1	1	X
ejpam-6490	112	7	)	)	PUNCT
ejpam-6490	112	8	shows	show	VERB
ejpam-6490	112	9	a	a	DET
ejpam-6490	112	10	brief	brief	ADJ
ejpam-6490	112	11	description	description	NOUN
ejpam-6490	112	12	of	of	ADP
ejpam-6490	112	13	the	the	DET
ejpam-6490	112	14	used	use	VERB
ejpam-6490	112	15	scheme	scheme	NOUN
ejpam-6490	112	16	.	.	PUNCT
ejpam-6490	113	1	w.	w.	PROPN
ejpam-6490	113	2	w.	w.	PROPN
ejpam-6490	113	3	mohammed	mohammed	PROPN
ejpam-6490	113	4	et	et	PROPN
ejpam-6490	113	5	al	al	PROPN
ejpam-6490	113	6	.	.	PUNCT
ejpam-6490	113	7	/	/	SYM
ejpam-6490	113	8	eur	eur	PROPN
ejpam-6490	113	9	.	.	PUNCT
ejpam-6490	114	1	j.	j.	PROPN
ejpam-6490	114	2	pure	pure	PROPN
ejpam-6490	114	3	appl	appl	PROPN
ejpam-6490	114	4	.	.	PROPN
ejpam-6490	114	5	math	math	PROPN
ejpam-6490	114	6	,	,	PUNCT
ejpam-6490	114	7	18	18	NUM
ejpam-6490	114	8	(	(	PUNCT
ejpam-6490	114	9	3	3	NUM
ejpam-6490	114	10	)	)	PUNCT
ejpam-6490	114	11	(	(	PUNCT
ejpam-6490	114	12	2025	2025	NUM
ejpam-6490	114	13	)	)	PUNCT
ejpam-6490	114	14	,	,	PUNCT
ejpam-6490	114	15	6490	6490	NUM
ejpam-6490	114	16	6	6	NUM
ejpam-6490	114	17	of	of	ADP
ejpam-6490	114	18	23	23	NUM
ejpam-6490	114	19	figure	figure	NOUN
ejpam-6490	114	20	1	1	NUM
ejpam-6490	114	21	:	:	PUNCT
ejpam-6490	114	22	flowchart	flowchart	NOUN
ejpam-6490	114	23	of	of	ADP
ejpam-6490	114	24	the	the	DET
ejpam-6490	114	25	ime	ime	ADJ
ejpam-6490	114	26	tanh	tanh	NOUN
ejpam-6490	114	27	-	-	PUNCT
ejpam-6490	114	28	function	function	NOUN
ejpam-6490	114	29	method	method	NOUN
ejpam-6490	114	30	.	.	PUNCT
ejpam-6490	115	1	2.2	2.2	NUM
ejpam-6490	115	2	.	.	PUNCT
ejpam-6490	115	3	motivation	motivation	NOUN
ejpam-6490	115	4	and	and	CCONJ
ejpam-6490	115	5	advantages	advantage	NOUN
ejpam-6490	115	6	of	of	ADP
ejpam-6490	115	7	the	the	DET
ejpam-6490	115	8	method	method	NOUN
ejpam-6490	115	9	the	the	DET
ejpam-6490	115	10	ime	ime	ADJ
ejpam-6490	115	11	tanh	tanh	NOUN
ejpam-6490	115	12	-	-	PUNCT
ejpam-6490	115	13	function	function	NOUN
ejpam-6490	115	14	method	method	NOUN
ejpam-6490	115	15	is	be	AUX
ejpam-6490	115	16	highly	highly	ADV
ejpam-6490	115	17	advantageous	advantageous	ADJ
ejpam-6490	115	18	for	for	ADP
ejpam-6490	115	19	obtaining	obtain	VERB
ejpam-6490	115	20	analytical	analytical	ADJ
ejpam-6490	115	21	solutions	solution	NOUN
ejpam-6490	115	22	and	and	CCONJ
ejpam-6490	115	23	gaining	gain	VERB
ejpam-6490	115	24	a	a	DET
ejpam-6490	115	25	deeper	deep	ADJ
ejpam-6490	115	26	understanding	understanding	NOUN
ejpam-6490	115	27	of	of	ADP
ejpam-6490	115	28	soliton	soliton	NOUN
ejpam-6490	115	29	dynamics	dynamic	NOUN
ejpam-6490	115	30	when	when	SCONJ
ejpam-6490	115	31	compared	compare	VERB
ejpam-6490	115	32	to	to	ADP
ejpam-6490	115	33	the	the	DET
ejpam-6490	115	34	other	other	ADJ
ejpam-6490	115	35	most	most	ADV
ejpam-6490	115	36	current	current	ADJ
ejpam-6490	115	37	approaches	approach	NOUN
ejpam-6490	115	38	.	.	PUNCT
ejpam-6490	116	1	however	however	ADV
ejpam-6490	116	2	,	,	PUNCT
ejpam-6490	116	3	it	it	PRON
ejpam-6490	116	4	might	might	AUX
ejpam-6490	116	5	be	be	AUX
ejpam-6490	116	6	challenging	challenge	VERB
ejpam-6490	116	7	to	to	PART
ejpam-6490	116	8	regulate	regulate	VERB
ejpam-6490	116	9	because	because	SCONJ
ejpam-6490	116	10	of	of	ADP
ejpam-6490	116	11	its	its	PRON
ejpam-6490	116	12	complexity	complexity	NOUN
ejpam-6490	116	13	and	and	CCONJ
ejpam-6490	116	14	sensitivity	sensitivity	NOUN
ejpam-6490	116	15	to	to	ADP
ejpam-6490	116	16	the	the	DET
ejpam-6490	116	17	initial	initial	ADJ
ejpam-6490	116	18	conditions	condition	NOUN
ejpam-6490	116	19	.	.	PUNCT
ejpam-6490	117	1	depending	depend	VERB
ejpam-6490	117	2	on	on	ADP
ejpam-6490	117	3	the	the	DET
ejpam-6490	117	4	specifics	specific	NOUN
ejpam-6490	117	5	of	of	ADP
ejpam-6490	117	6	the	the	DET
ejpam-6490	117	7	model	model	NOUN
ejpam-6490	117	8	being	be	AUX
ejpam-6490	117	9	used	use	VERB
ejpam-6490	117	10	,	,	PUNCT
ejpam-6490	117	11	such	such	ADJ
ejpam-6490	117	12	as	as	ADP
ejpam-6490	117	13	the	the	DET
ejpam-6490	117	14	type	type	NOUN
ejpam-6490	117	15	of	of	ADP
ejpam-6490	117	16	npdes	npde	NOUN
ejpam-6490	117	17	,	,	PUNCT
ejpam-6490	117	18	determining	determine	VERB
ejpam-6490	117	19	the	the	DET
ejpam-6490	117	20	boundary	boundary	ADJ
ejpam-6490	117	21	constraints	constraint	NOUN
ejpam-6490	117	22	,	,	PUNCT
ejpam-6490	117	23	and	and	CCONJ
ejpam-6490	117	24	the	the	DET
ejpam-6490	117	25	desired	desire	VERB
ejpam-6490	117	26	ratio	ratio	NOUN
ejpam-6490	117	27	of	of	ADP
ejpam-6490	117	28	computational	computational	ADJ
ejpam-6490	117	29	practicality	practicality	NOUN
ejpam-6490	117	30	to	to	ADP
ejpam-6490	117	31	analytical	analytical	ADJ
ejpam-6490	117	32	proficiency	proficiency	NOUN
ejpam-6490	117	33	,	,	PUNCT
ejpam-6490	117	34	each	each	DET
ejpam-6490	117	35	technique	technique	NOUN
ejpam-6490	117	36	is	be	AUX
ejpam-6490	117	37	appropriate	appropriate	ADJ
ejpam-6490	117	38	.	.	PUNCT
ejpam-6490	118	1	alternative	alternative	ADJ
ejpam-6490	118	2	techniques	technique	NOUN
ejpam-6490	118	3	are	be	AUX
ejpam-6490	118	4	more	more	ADV
ejpam-6490	118	5	complex	complex	ADJ
ejpam-6490	118	6	,	,	PUNCT
ejpam-6490	118	7	but	but	CCONJ
ejpam-6490	118	8	they	they	PRON
ejpam-6490	118	9	also	also	ADV
ejpam-6490	118	10	allow	allow	VERB
ejpam-6490	118	11	for	for	ADP
ejpam-6490	118	12	greater	great	ADJ
ejpam-6490	118	13	flexibility	flexibility	NOUN
ejpam-6490	118	14	and	and	CCONJ
ejpam-6490	118	15	improvement	improvement	NOUN
ejpam-6490	118	16	.	.	PUNCT
ejpam-6490	119	1	w.	w.	PROPN
ejpam-6490	119	2	w.	w.	PROPN
ejpam-6490	119	3	mohammed	mohammed	PROPN
ejpam-6490	119	4	et	et	PROPN
ejpam-6490	119	5	al	al	PROPN
ejpam-6490	119	6	.	.	PUNCT
ejpam-6490	119	7	/	/	SYM
ejpam-6490	119	8	eur	eur	PROPN
ejpam-6490	119	9	.	.	PUNCT
ejpam-6490	120	1	j.	j.	PROPN
ejpam-6490	120	2	pure	pure	PROPN
ejpam-6490	120	3	appl	appl	PROPN
ejpam-6490	120	4	.	.	PROPN
ejpam-6490	120	5	math	math	PROPN
ejpam-6490	120	6	,	,	PUNCT
ejpam-6490	120	7	18	18	NUM
ejpam-6490	120	8	(	(	PUNCT
ejpam-6490	120	9	3	3	NUM
ejpam-6490	120	10	)	)	PUNCT
ejpam-6490	120	11	(	(	PUNCT
ejpam-6490	120	12	2025	2025	NUM
ejpam-6490	120	13	)	)	PUNCT
ejpam-6490	120	14	,	,	PUNCT
ejpam-6490	120	15	6490	6490	NUM
ejpam-6490	120	16	7	7	NUM
ejpam-6490	120	17	of	of	ADP
ejpam-6490	120	18	23	23	NUM
ejpam-6490	120	19	3	3	NUM
ejpam-6490	120	20	.	.	PUNCT
ejpam-6490	120	21	extraction	extraction	NOUN
ejpam-6490	120	22	of	of	ADP
ejpam-6490	120	23	solitons	soliton	NOUN
ejpam-6490	120	24	and	and	CCONJ
ejpam-6490	120	25	some	some	DET
ejpam-6490	120	26	other	other	ADJ
ejpam-6490	120	27	solutions	solution	NOUN
ejpam-6490	120	28	by	by	ADP
ejpam-6490	120	29	applying	apply	VERB
ejpam-6490	120	30	eq	eq	ADP
ejpam-6490	120	31	.	.	PUNCT
ejpam-6490	121	1	(	(	PUNCT
ejpam-6490	121	2	3	3	X
ejpam-6490	121	3	)	)	PUNCT
ejpam-6490	121	4	for	for	ADP
ejpam-6490	121	5	eq	eq	NOUN
ejpam-6490	121	6	.	.	PUNCT
ejpam-6490	122	1	(	(	PUNCT
ejpam-6490	122	2	1	1	NUM
ejpam-6490	122	3	)	)	PUNCT
ejpam-6490	122	4	,	,	PUNCT
ejpam-6490	122	5	then	then	ADV
ejpam-6490	122	6	eq	eq	ADP
ejpam-6490	122	7	.	.	PUNCT
ejpam-6490	123	1	(	(	PUNCT
ejpam-6490	123	2	1	1	X
ejpam-6490	123	3	)	)	PUNCT
ejpam-6490	123	4	appears	appear	VERB
ejpam-6490	123	5	as	as	ADP
ejpam-6490	123	6	a	a	DET
ejpam-6490	123	7	non	non	ADJ
ejpam-6490	123	8	-	-	ADJ
ejpam-6490	123	9	linear	linear	ADJ
ejpam-6490	123	10	ordinary	ordinary	ADJ
ejpam-6490	123	11	differential	differential	ADJ
ejpam-6490	123	12	equation	equation	NOUN
ejpam-6490	123	13	(	(	PUNCT
ejpam-6490	123	14	node	node	NOUN
ejpam-6490	123	15	)	)	PUNCT
ejpam-6490	123	16	,	,	PUNCT
ejpam-6490	123	17	having	have	VERB
ejpam-6490	123	18	the	the	DET
ejpam-6490	123	19	following	follow	VERB
ejpam-6490	123	20	form	form	NOUN
ejpam-6490	123	21	:	:	PUNCT
ejpam-6490	123	22	2ϱ	2ϱ	ADV
ejpam-6490	123	23	(	(	PUNCT
ejpam-6490	123	24	r′)2	r′)2	PROPN
ejpam-6490	123	25	+	+	CCONJ
ejpam-6490	123	26	(	(	PUNCT
ejpam-6490	123	27	α+	α+	NUM
ejpam-6490	123	28	k(β	k(β	PROPN
ejpam-6490	123	29	+	+	CCONJ
ejpam-6490	123	30	kµ	kµ	PROPN
ejpam-6490	123	31	)	)	PUNCT
ejpam-6490	124	1	+	+	CCONJ
ejpam-6490	124	2	2ϱr−	2ϱr−	NUM
ejpam-6490	124	3	ϑω+	ϑω+	NOUN
ejpam-6490	124	4	cω2	cω2	NOUN
ejpam-6490	124	5	+	+	CCONJ
ejpam-6490	124	6	γℵ	γℵ	NOUN
ejpam-6490	124	7	)	)	PUNCT
ejpam-6490	124	8	r′′	r′′	VERB
ejpam-6490	124	9	+	+	PROPN
ejpam-6490	124	10	r(4	r(4	NOUN
ejpam-6490	124	11	)	)	PUNCT
ejpam-6490	124	12	=	=	PUNCT
ejpam-6490	125	1	0	0	X
ejpam-6490	125	2	.	.	PUNCT
ejpam-6490	126	1	(	(	PUNCT
ejpam-6490	126	2	7	7	NUM
ejpam-6490	126	3	)	)	PUNCT
ejpam-6490	126	4	thus	thus	ADV
ejpam-6490	126	5	,	,	PUNCT
ejpam-6490	126	6	the	the	DET
ejpam-6490	126	7	exact	exact	ADJ
ejpam-6490	126	8	solutions	solution	NOUN
ejpam-6490	126	9	for	for	ADP
ejpam-6490	126	10	eq	eq	PROPN
ejpam-6490	126	11	.	.	PUNCT
ejpam-6490	127	1	(	(	PUNCT
ejpam-6490	127	2	7	7	X
ejpam-6490	127	3	)	)	PUNCT
ejpam-6490	127	4	can	can	AUX
ejpam-6490	127	5	be	be	AUX
ejpam-6490	127	6	generated	generate	VERB
ejpam-6490	127	7	in	in	ADP
ejpam-6490	127	8	the	the	DET
ejpam-6490	127	9	following	follow	VERB
ejpam-6490	127	10	manner	manner	NOUN
ejpam-6490	127	11	by	by	ADP
ejpam-6490	127	12	using	use	VERB
ejpam-6490	127	13	the	the	DET
ejpam-6490	127	14	principle	principle	NOUN
ejpam-6490	127	15	of	of	ADP
ejpam-6490	127	16	balance	balance	NOUN
ejpam-6490	127	17	that	that	PRON
ejpam-6490	127	18	was	be	AUX
ejpam-6490	127	19	mentioned	mention	VERB
ejpam-6490	127	20	in	in	ADP
ejpam-6490	127	21	section	section	NOUN
ejpam-6490	127	22	2	2	NUM
ejpam-6490	127	23	to	to	ADP
ejpam-6490	127	24	eq	eq	NOUN
ejpam-6490	127	25	.	.	PUNCT
ejpam-6490	128	1	(	(	PUNCT
ejpam-6490	128	2	7	7	NUM
ejpam-6490	128	3	)	)	PUNCT
ejpam-6490	128	4	,	,	PUNCT
ejpam-6490	128	5	the	the	DET
ejpam-6490	128	6	balance	balance	NOUN
ejpam-6490	128	7	is	be	AUX
ejpam-6490	128	8	performed	perform	VERB
ejpam-6490	128	9	between	between	ADP
ejpam-6490	128	10	the	the	DET
ejpam-6490	128	11	terms	term	NOUN
ejpam-6490	128	12	include	include	VERB
ejpam-6490	128	13	r(4	r(4	PROPN
ejpam-6490	128	14	)	)	PUNCT
ejpam-6490	128	15	and	and	CCONJ
ejpam-6490	128	16	rr′′	rr′′	PROPN
ejpam-6490	128	17	,	,	PUNCT
ejpam-6490	128	18	determining	determine	VERB
ejpam-6490	128	19	the	the	DET
ejpam-6490	128	20	balance	balance	NOUN
ejpam-6490	128	21	constant	constant	ADJ
ejpam-6490	128	22	n	n	NOUN
ejpam-6490	128	23	=	=	SYM
ejpam-6490	128	24	2	2	NUM
ejpam-6490	128	25	.	.	PUNCT
ejpam-6490	129	1	hence	hence	ADV
ejpam-6490	129	2	,	,	PUNCT
ejpam-6490	129	3	eq	eq	ADJ
ejpam-6490	129	4	.	.	PUNCT
ejpam-6490	130	1	(	(	PUNCT
ejpam-6490	130	2	5	5	X
ejpam-6490	130	3	)	)	PUNCT
ejpam-6490	130	4	becomes	become	VERB
ejpam-6490	130	5	r(η	r(η	NUM
ejpam-6490	130	6	)	)	PUNCT
ejpam-6490	130	7	=	=	SYM
ejpam-6490	130	8	d0	d0	NOUN
ejpam-6490	130	9	+	+	CCONJ
ejpam-6490	130	10	d1w(η	d1w(η	PROPN
ejpam-6490	130	11	)	)	PUNCT
ejpam-6490	131	1	+	+	PUNCT
ejpam-6490	131	2	d2w2(η	d2w2(η	NOUN
ejpam-6490	131	3	)	)	PUNCT
ejpam-6490	131	4	+	+	CCONJ
ejpam-6490	131	5	f1	f1	PROPN
ejpam-6490	131	6	w(η	w(η	PROPN
ejpam-6490	131	7	)	)	PUNCT
ejpam-6490	131	8	+	+	CCONJ
ejpam-6490	131	9	f2	f2	PROPN
ejpam-6490	131	10	w2(η	w2(η	NUM
ejpam-6490	131	11	)	)	PUNCT
ejpam-6490	131	12	.	.	PUNCT
ejpam-6490	132	1	(	(	PUNCT
ejpam-6490	132	2	8)	8)	NUM
ejpam-6490	132	3	using	use	VERB
ejpam-6490	132	4	eq	eq	X
ejpam-6490	132	5	.	.	PUNCT
ejpam-6490	132	6	(	(	PUNCT
ejpam-6490	132	7	8)	8)	NUM
ejpam-6490	132	8	and	and	CCONJ
ejpam-6490	132	9	the	the	DET
ejpam-6490	132	10	constraint	constraint	NOUN
ejpam-6490	132	11	in	in	ADP
ejpam-6490	132	12	eq	eq	ADP
ejpam-6490	132	13	.	.	PUNCT
ejpam-6490	133	1	(	(	PUNCT
ejpam-6490	133	2	6	6	NUM
ejpam-6490	133	3	)	)	PUNCT
ejpam-6490	133	4	,	,	PUNCT
ejpam-6490	133	5	eq	eq	NOUN
ejpam-6490	133	6	.	.	PUNCT
ejpam-6490	134	1	(	(	PUNCT
ejpam-6490	134	2	7	7	X
ejpam-6490	134	3	)	)	PUNCT
ejpam-6490	134	4	yields	yield	VERB
ejpam-6490	134	5	a	a	DET
ejpam-6490	134	6	polynomial	polynomial	NOUN
ejpam-6490	134	7	in	in	ADP
ejpam-6490	134	8	w(η	w(η	PROPN
ejpam-6490	134	9	)	)	PUNCT
ejpam-6490	134	10	.	.	PUNCT
ejpam-6490	135	1	an	an	DET
ejpam-6490	135	2	algebraic	algebraic	ADJ
ejpam-6490	135	3	non	non	ADJ
ejpam-6490	135	4	-	-	ADJ
ejpam-6490	135	5	linear	linear	ADJ
ejpam-6490	135	6	equations	equation	NOUN
ejpam-6490	135	7	system	system	NOUN
ejpam-6490	135	8	is	be	AUX
ejpam-6490	135	9	created	create	VERB
ejpam-6490	135	10	when	when	SCONJ
ejpam-6490	135	11	all	all	DET
ejpam-6490	135	12	terms	term	NOUN
ejpam-6490	135	13	with	with	ADP
ejpam-6490	135	14	the	the	DET
ejpam-6490	135	15	same	same	ADJ
ejpam-6490	135	16	power	power	NOUN
ejpam-6490	135	17	are	be	AUX
ejpam-6490	135	18	combined	combine	VERB
ejpam-6490	135	19	and	and	CCONJ
ejpam-6490	135	20	set	set	VERB
ejpam-6490	135	21	to	to	PART
ejpam-6490	135	22	equal	equal	ADJ
ejpam-6490	135	23	zero	zero	NUM
ejpam-6490	135	24	.	.	PUNCT
ejpam-6490	136	1	the	the	DET
ejpam-6490	136	2	wolfram	wolfram	PROPN
ejpam-6490	136	3	mathematica	mathematica	PROPN
ejpam-6490	136	4	software	software	PROPN
ejpam-6490	136	5	tool	tool	PROPN
ejpam-6490	136	6	is	be	AUX
ejpam-6490	136	7	used	use	VERB
ejpam-6490	136	8	to	to	PART
ejpam-6490	136	9	solve	solve	VERB
ejpam-6490	136	10	these	these	DET
ejpam-6490	136	11	equations	equation	NOUN
ejpam-6490	136	12	and	and	CCONJ
ejpam-6490	136	13	generate	generate	VERB
ejpam-6490	136	14	the	the	DET
ejpam-6490	136	15	potential	potential	ADJ
ejpam-6490	136	16	solutions	solution	NOUN
ejpam-6490	136	17	.	.	PUNCT
ejpam-6490	137	1	it	it	PRON
ejpam-6490	137	2	is	be	AUX
ejpam-6490	137	3	specified	specify	VERB
ejpam-6490	137	4	that	that	SCONJ
ejpam-6490	137	5	d2	d2	PROPN
ejpam-6490	137	6	and	and	CCONJ
ejpam-6490	137	7	f2	f2	PROPN
ejpam-6490	137	8	can	can	AUX
ejpam-6490	137	9	not	not	PART
ejpam-6490	137	10	both	both	PRON
ejpam-6490	137	11	be	be	AUX
ejpam-6490	137	12	zero	zero	NUM
ejpam-6490	137	13	simultaneously	simultaneously	ADV
ejpam-6490	137	14	.	.	PUNCT
ejpam-6490	138	1	family	family	NOUN
ejpam-6490	138	2	(	(	PUNCT
ejpam-6490	138	3	1	1	NUM
ejpam-6490	138	4	):	):	PUNCT
ejpam-6490	138	5	if	if	SCONJ
ejpam-6490	138	6	τ0	τ0	NOUN
ejpam-6490	138	7	=	=	SYM
ejpam-6490	138	8	τ1	τ1	NOUN
ejpam-6490	138	9	=	=	SYM
ejpam-6490	138	10	τ3	τ3	NOUN
ejpam-6490	138	11	=	=	SYM
ejpam-6490	138	12	0	0	PROPN
ejpam-6490	138	13	,	,	PUNCT
ejpam-6490	138	14	the	the	DET
ejpam-6490	138	15	below	below	ADJ
ejpam-6490	138	16	set	set	NOUN
ejpam-6490	138	17	of	of	ADP
ejpam-6490	138	18	solutions	solution	NOUN
ejpam-6490	138	19	is	be	AUX
ejpam-6490	138	20	resulted	result	VERB
ejpam-6490	138	21	:	:	PUNCT
ejpam-6490	138	22	d1	d1	PROPN
ejpam-6490	138	23	=	=	SYM
ejpam-6490	138	24	f1	f1	NOUN
ejpam-6490	138	25	=	=	SYM
ejpam-6490	138	26	f2	f2	PROPN
ejpam-6490	138	27	=	=	SYM
ejpam-6490	138	28	0	0	NUM
ejpam-6490	138	29	,	,	PUNCT
ejpam-6490	138	30	d0	d0	NOUN
ejpam-6490	138	31	=	=	SYM
ejpam-6490	139	1	−α+	−α+	INTJ
ejpam-6490	139	2	γℵ	γℵ	NOUN
ejpam-6490	139	3	−	−	PROPN
ejpam-6490	139	4	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	139	5	cω	cω	PROPN
ejpam-6490	139	6	)	)	PUNCT
ejpam-6490	140	1	+	+	CCONJ
ejpam-6490	140	2	k(β	k(β	PROPN
ejpam-6490	140	3	+	+	CCONJ
ejpam-6490	140	4	kµ	kµ	PROPN
ejpam-6490	140	5	)	)	PUNCT
ejpam-6490	141	1	+	+	CCONJ
ejpam-6490	141	2	4τ2	4τ2	NUM
ejpam-6490	141	3	2ϱ	2ϱ	NOUN
ejpam-6490	141	4	,	,	PUNCT
ejpam-6490	141	5	d2	d2	PROPN
ejpam-6490	141	6	=	=	SYM
ejpam-6490	141	7	−6τ4	−6τ4	VERB
ejpam-6490	141	8	ϱ	ϱ	NOUN
ejpam-6490	141	9	.	.	PUNCT
ejpam-6490	142	1	the	the	DET
ejpam-6490	142	2	following	follow	VERB
ejpam-6490	142	3	exact	exact	ADJ
ejpam-6490	142	4	solutions	solution	NOUN
ejpam-6490	142	5	are	be	AUX
ejpam-6490	142	6	obtained	obtain	VERB
ejpam-6490	142	7	for	for	ADP
ejpam-6490	142	8	eq	eq	PROPN
ejpam-6490	142	9	.	.	PUNCT
ejpam-6490	143	1	(	(	PUNCT
ejpam-6490	143	2	1	1	NUM
ejpam-6490	143	3	)	)	PUNCT
ejpam-6490	143	4	,	,	PUNCT
ejpam-6490	143	5	as	as	ADP
ejpam-6490	143	6	per	per	ADP
ejpam-6490	143	7	the	the	DET
ejpam-6490	143	8	above	above	ADJ
ejpam-6490	143	9	set	set	NOUN
ejpam-6490	143	10	of	of	ADP
ejpam-6490	143	11	solutions	solution	NOUN
ejpam-6490	143	12	:	:	PUNCT
ejpam-6490	143	13	(	(	PUNCT
ejpam-6490	143	14	1.1	1.1	NUM
ejpam-6490	143	15	)	)	PUNCT
ejpam-6490	143	16	if	if	SCONJ
ejpam-6490	143	17	τ2	τ2	VERB
ejpam-6490	143	18	>	>	X
ejpam-6490	143	19	0	0	NUM
ejpam-6490	143	20	,	,	PUNCT
ejpam-6490	143	21	τ4	τ4	NOUN
ejpam-6490	143	22	<	<	X
ejpam-6490	143	23	0	0	PUNCT
ejpam-6490	143	24	and	and	CCONJ
ejpam-6490	143	25	ϱ	ϱ	ADP
ejpam-6490	143	26	̸=	̸=	PROPN
ejpam-6490	143	27	0	0	NUM
ejpam-6490	143	28	,	,	PUNCT
ejpam-6490	143	29	the	the	DET
ejpam-6490	143	30	following	follow	VERB
ejpam-6490	143	31	bright	bright	ADJ
ejpam-6490	143	32	soliton	soliton	NOUN
ejpam-6490	143	33	solution	solution	NOUN
ejpam-6490	143	34	is	be	AUX
ejpam-6490	143	35	obatined	obatine	VERB
ejpam-6490	143	36	:	:	PUNCT
ejpam-6490	143	37	ϕ1.1	ϕ1.1	X
ejpam-6490	144	1	=	=	PUNCT
ejpam-6490	144	2	−α+	−α+	INTJ
ejpam-6490	144	3	γℵ	γℵ	NOUN
ejpam-6490	144	4	−	−	NOUN
ejpam-6490	144	5	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	144	6	cω	cω	PROPN
ejpam-6490	144	7	)	)	PUNCT
ejpam-6490	145	1	+	+	CCONJ
ejpam-6490	145	2	k(β	k(β	PROPN
ejpam-6490	145	3	+	+	CCONJ
ejpam-6490	145	4	kµ	kµ	PROPN
ejpam-6490	145	5	)	)	PUNCT
ejpam-6490	146	1	+	+	CCONJ
ejpam-6490	147	1	4τ2	4τ2	NUM
ejpam-6490	147	2	2ϱ	2ϱ	NOUN
ejpam-6490	148	1	+	+	CCONJ
ejpam-6490	148	2	6τ2	6τ2	NUM
ejpam-6490	148	3	ϱ	ϱ	ADP
ejpam-6490	148	4	sech2	sech2	NOUN
ejpam-6490	149	1	[	[	X
ejpam-6490	149	2	(	(	PUNCT
ejpam-6490	149	3	x+	x+	ADJ
ejpam-6490	149	4	ky	ky	PROPN
ejpam-6490	149	5	+	+	CCONJ
ejpam-6490	149	6	ℵz	ℵz	PROPN
ejpam-6490	149	7	−	−	PROPN
ejpam-6490	149	8	ωt	ωt	PROPN
ejpam-6490	149	9	)	)	PUNCT
ejpam-6490	149	10	√	√	ADP
ejpam-6490	149	11	τ2	τ2	PROPN
ejpam-6490	149	12	]	]	PUNCT
ejpam-6490	149	13	.	.	PUNCT
ejpam-6490	150	1	(	(	PUNCT
ejpam-6490	150	2	9	9	NUM
ejpam-6490	150	3	)	)	PUNCT
ejpam-6490	150	4	(	(	PUNCT
ejpam-6490	150	5	1.2	1.2	NUM
ejpam-6490	150	6	)	)	PUNCT
ejpam-6490	150	7	if	if	SCONJ
ejpam-6490	150	8	τ2	τ2	VERB
ejpam-6490	150	9	<	<	X
ejpam-6490	150	10	0	0	NUM
ejpam-6490	150	11	,	,	PUNCT
ejpam-6490	150	12	τ4	τ4	NOUN
ejpam-6490	150	13	>	>	X
ejpam-6490	150	14	0	0	PUNCT
ejpam-6490	150	15	and	and	CCONJ
ejpam-6490	150	16	ϱ	ϱ	ADP
ejpam-6490	150	17	̸=	̸=	PROPN
ejpam-6490	150	18	0	0	NUM
ejpam-6490	150	19	,	,	PUNCT
ejpam-6490	150	20	the	the	DET
ejpam-6490	150	21	following	follow	VERB
ejpam-6490	150	22	singular	singular	ADJ
ejpam-6490	150	23	periodic	periodic	ADJ
ejpam-6490	150	24	solution	solution	NOUN
ejpam-6490	150	25	is	be	AUX
ejpam-6490	150	26	obtained	obtain	VERB
ejpam-6490	150	27	:	:	PUNCT
ejpam-6490	150	28	ϕ1.2	ϕ1.2	NOUN
ejpam-6490	150	29	=	=	SYM
ejpam-6490	151	1	−α+	−α+	INTJ
ejpam-6490	151	2	γℵ	γℵ	NOUN
ejpam-6490	151	3	−	−	NOUN
ejpam-6490	151	4	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	151	5	cω	cω	PROPN
ejpam-6490	151	6	)	)	PUNCT
ejpam-6490	152	1	+	+	CCONJ
ejpam-6490	152	2	k(β	k(β	PROPN
ejpam-6490	152	3	+	+	CCONJ
ejpam-6490	152	4	kµ	kµ	PROPN
ejpam-6490	152	5	)	)	PUNCT
ejpam-6490	153	1	+	+	CCONJ
ejpam-6490	154	1	4τ2	4τ2	NUM
ejpam-6490	155	1	2ϱ	2ϱ	NOUN
ejpam-6490	156	1	+	+	CCONJ
ejpam-6490	156	2	6τ2	6τ2	NUM
ejpam-6490	156	3	ϱ	ϱ	ADP
ejpam-6490	156	4	sec2	sec2	NOUN
ejpam-6490	156	5	[	[	PUNCT
ejpam-6490	156	6	(	(	PUNCT
ejpam-6490	156	7	x+	x+	X
ejpam-6490	156	8	ky	ky	PROPN
ejpam-6490	156	9	+	+	CCONJ
ejpam-6490	156	10	ℵz	ℵz	PROPN
ejpam-6490	156	11	−	−	PROPN
ejpam-6490	156	12	ωt	ωt	NOUN
ejpam-6490	156	13	)	)	PUNCT
ejpam-6490	156	14	√	√	NOUN
ejpam-6490	157	1	−τ2	−τ2	PROPN
ejpam-6490	157	2	]	]	PUNCT
ejpam-6490	157	3	.	.	PUNCT
ejpam-6490	158	1	(	(	PUNCT
ejpam-6490	158	2	10	10	NUM
ejpam-6490	158	3	)	)	PUNCT
ejpam-6490	158	4	(	(	PUNCT
ejpam-6490	158	5	1.3	1.3	NUM
ejpam-6490	158	6	)	)	PUNCT
ejpam-6490	158	7	if	if	SCONJ
ejpam-6490	158	8	τ2	τ2	NOUN
ejpam-6490	158	9	=	=	SYM
ejpam-6490	158	10	0	0	NUM
ejpam-6490	158	11	and	and	CCONJ
ejpam-6490	158	12	τ4	τ4	PROPN
ejpam-6490	158	13	>	>	X
ejpam-6490	158	14	0	0	PROPN
ejpam-6490	158	15	,	,	PUNCT
ejpam-6490	158	16	the	the	DET
ejpam-6490	158	17	following	follow	VERB
ejpam-6490	158	18	rational	rational	ADJ
ejpam-6490	158	19	solution	solution	NOUN
ejpam-6490	158	20	;	;	PUNCT
ejpam-6490	158	21	(	(	PUNCT
ejpam-6490	158	22	ϱ)(x+	ϱ)(x+	X
ejpam-6490	158	23	ky	ky	NOUN
ejpam-6490	158	24	+	+	NOUN
ejpam-6490	158	25	ℵz	ℵz	PROPN
ejpam-6490	158	26	−	−	PRON
ejpam-6490	158	27	ωt	ωt	NOUN
ejpam-6490	158	28	)	)	PUNCT
ejpam-6490	158	29	̸=	̸=	PROPN
ejpam-6490	158	30	0	0	NUM
ejpam-6490	158	31	:	:	PUNCT
ejpam-6490	158	32	ϕ1.3	ϕ1.3	PROPN
ejpam-6490	158	33	=	=	NOUN
ejpam-6490	158	34	−α+	−α+	NOUN
ejpam-6490	158	35	γℵ	γℵ	NOUN
ejpam-6490	158	36	−	−	PROPN
ejpam-6490	158	37	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	158	38	cω	cω	PROPN
ejpam-6490	158	39	)	)	PUNCT
ejpam-6490	159	1	+	+	CCONJ
ejpam-6490	159	2	k(β	k(β	PROPN
ejpam-6490	159	3	+	+	CCONJ
ejpam-6490	159	4	kµ	kµ	PROPN
ejpam-6490	159	5	)	)	PUNCT
ejpam-6490	159	6	2ϱ	2ϱ	ADV
ejpam-6490	159	7	−	−	NOUN
ejpam-6490	159	8	6	6	NUM
ejpam-6490	159	9	ϱ(x+	ϱ(x+	PROPN
ejpam-6490	159	10	ky	ky	PROPN
ejpam-6490	160	1	+	+	CCONJ
ejpam-6490	160	2	ℵz	ℵz	NOUN
ejpam-6490	160	3	−	−	PROPN
ejpam-6490	160	4	ωt)2	ωt)2	PROPN
ejpam-6490	160	5	.	.	PUNCT
ejpam-6490	161	1	(	(	PUNCT
ejpam-6490	161	2	11	11	NUM
ejpam-6490	161	3	)	)	PUNCT
ejpam-6490	161	4	family	family	NOUN
ejpam-6490	161	5	(	(	PUNCT
ejpam-6490	161	6	2	2	NUM
ejpam-6490	161	7	):	):	PUNCT
ejpam-6490	161	8	if	if	SCONJ
ejpam-6490	161	9	τ1	τ1	NOUN
ejpam-6490	161	10	=	=	SYM
ejpam-6490	161	11	τ3	τ3	NOUN
ejpam-6490	161	12	=	=	SYM
ejpam-6490	161	13	0	0	PROPN
ejpam-6490	161	14	,	,	PUNCT
ejpam-6490	161	15	the	the	DET
ejpam-6490	161	16	sets	set	NOUN
ejpam-6490	161	17	of	of	ADP
ejpam-6490	161	18	solutions	solution	NOUN
ejpam-6490	161	19	listed	list	VERB
ejpam-6490	161	20	below	below	ADP
ejpam-6490	161	21	are	be	AUX
ejpam-6490	161	22	:	:	PUNCT
ejpam-6490	161	23	(	(	PUNCT
ejpam-6490	161	24	2.1	2.1	NUM
ejpam-6490	161	25	)	)	PUNCT
ejpam-6490	161	26	d1	d1	NOUN
ejpam-6490	161	27	=	=	SYM
ejpam-6490	161	28	f1	f1	NOUN
ejpam-6490	161	29	=	=	SYM
ejpam-6490	161	30	f2	f2	PROPN
ejpam-6490	161	31	=	=	SYM
ejpam-6490	161	32	0	0	NUM
ejpam-6490	161	33	,	,	PUNCT
ejpam-6490	161	34	d0	d0	NOUN
ejpam-6490	161	35	=	=	SYM
ejpam-6490	161	36	−α+γℵ−ω(ϑ−cω)+k(β+kµ)+4τ2	−α+γℵ−ω(ϑ−cω)+k(β+kµ)+4τ2	PROPN
ejpam-6490	161	37	2ϱ	2ϱ	NOUN
ejpam-6490	161	38	,	,	PUNCT
ejpam-6490	161	39	d2	d2	PROPN
ejpam-6490	161	40	=	=	SYM
ejpam-6490	161	41	−6τ4	−6τ4	VERB
ejpam-6490	161	42	ϱ	ϱ	NOUN
ejpam-6490	161	43	.	.	PUNCT
ejpam-6490	162	1	w.	w.	PROPN
ejpam-6490	162	2	w.	w.	PROPN
ejpam-6490	162	3	mohammed	mohammed	PROPN
ejpam-6490	162	4	et	et	PROPN
ejpam-6490	162	5	al	al	PROPN
ejpam-6490	162	6	.	.	PUNCT
ejpam-6490	162	7	/	/	SYM
ejpam-6490	162	8	eur	eur	PROPN
ejpam-6490	162	9	.	.	PUNCT
ejpam-6490	163	1	j.	j.	PROPN
ejpam-6490	163	2	pure	pure	PROPN
ejpam-6490	163	3	appl	appl	PROPN
ejpam-6490	163	4	.	.	PROPN
ejpam-6490	163	5	math	math	PROPN
ejpam-6490	163	6	,	,	PUNCT
ejpam-6490	163	7	18	18	NUM
ejpam-6490	163	8	(	(	PUNCT
ejpam-6490	163	9	3	3	NUM
ejpam-6490	163	10	)	)	PUNCT
ejpam-6490	163	11	(	(	PUNCT
ejpam-6490	163	12	2025	2025	NUM
ejpam-6490	163	13	)	)	PUNCT
ejpam-6490	163	14	,	,	PUNCT
ejpam-6490	163	15	6490	6490	NUM
ejpam-6490	163	16	8	8	NUM
ejpam-6490	163	17	of	of	ADP
ejpam-6490	163	18	23	23	NUM
ejpam-6490	163	19	(	(	PUNCT
ejpam-6490	163	20	2.2	2.2	NUM
ejpam-6490	163	21	)	)	PUNCT
ejpam-6490	163	22	d1	d1	NOUN
ejpam-6490	163	23	=	=	SYM
ejpam-6490	163	24	d2	d2	PROPN
ejpam-6490	163	25	=	=	PUNCT
ejpam-6490	163	26	f1	f1	NOUN
ejpam-6490	163	27	=	=	SYM
ejpam-6490	163	28	0	0	NUM
ejpam-6490	163	29	,	,	PUNCT
ejpam-6490	163	30	d0	d0	NOUN
ejpam-6490	163	31	=	=	SYM
ejpam-6490	163	32	−α+γℵ−ω(ϑ−cω)+k(β+kµ)+4τ2	−α+γℵ−ω(ϑ−cω)+k(β+kµ)+4τ2	PROPN
ejpam-6490	163	33	2ϱ	2ϱ	NOUN
ejpam-6490	163	34	,	,	PUNCT
ejpam-6490	163	35	f2	f2	ADV
ejpam-6490	163	36	=	=	NOUN
ejpam-6490	163	37	−6τ0	−6τ0	SYM
ejpam-6490	163	38	ϱ	ϱ	PROPN
ejpam-6490	163	39	.	.	PUNCT
ejpam-6490	164	1	(	(	PUNCT
ejpam-6490	164	2	2.3	2.3	NUM
ejpam-6490	164	3	)	)	PUNCT
ejpam-6490	164	4	d1	d1	NOUN
ejpam-6490	164	5	=	=	SYM
ejpam-6490	164	6	f1	f1	NOUN
ejpam-6490	164	7	=	=	SYM
ejpam-6490	164	8	0	0	NUM
ejpam-6490	164	9	,	,	PUNCT
ejpam-6490	164	10	d0	d0	NOUN
ejpam-6490	164	11	=	=	SYM
ejpam-6490	164	12	−α+γℵ−ω(ϑ−cω)+k(β+kµ)+4τ2	−α+γℵ−ω(ϑ−cω)+k(β+kµ)+4τ2	PROPN
ejpam-6490	164	13	2ϱ	2ϱ	NOUN
ejpam-6490	164	14	,	,	PUNCT
ejpam-6490	164	15	d2	d2	PROPN
ejpam-6490	164	16	=	=	SYM
ejpam-6490	164	17	−6τ4	−6τ4	VERB
ejpam-6490	164	18	ϱ	ϱ	NOUN
ejpam-6490	164	19	,	,	PUNCT
ejpam-6490	164	20	f2	f2	ADV
ejpam-6490	164	21	=	=	NOUN
ejpam-6490	164	22	−6τ0	−6τ0	SYM
ejpam-6490	164	23	ϱ	ϱ	PROPN
ejpam-6490	164	24	.	.	PUNCT
ejpam-6490	165	1	by	by	ADP
ejpam-6490	165	2	considering	consider	VERB
ejpam-6490	165	3	the	the	DET
ejpam-6490	165	4	solutions	solution	NOUN
ejpam-6490	165	5	’	'	PUNCT
ejpam-6490	165	6	set	set	NOUN
ejpam-6490	165	7	(	(	PUNCT
ejpam-6490	165	8	2.1	2.1	NUM
ejpam-6490	165	9	)	)	PUNCT
ejpam-6490	165	10	,	,	PUNCT
ejpam-6490	165	11	the	the	DET
ejpam-6490	165	12	corresponding	corresponding	ADJ
ejpam-6490	165	13	exact	exact	ADJ
ejpam-6490	165	14	solutions	solution	NOUN
ejpam-6490	165	15	of	of	ADP
ejpam-6490	165	16	eq	eq	PROPN
ejpam-6490	165	17	.	.	PUNCT
ejpam-6490	166	1	(	(	PUNCT
ejpam-6490	166	2	1	1	X
ejpam-6490	166	3	)	)	PUNCT
ejpam-6490	166	4	are	be	AUX
ejpam-6490	166	5	produced	produce	VERB
ejpam-6490	166	6	as	as	ADP
ejpam-6490	166	7	:	:	PUNCT
ejpam-6490	166	8	(	(	PUNCT
ejpam-6490	166	9	2.1,1	2.1,1	NOUN
ejpam-6490	166	10	)	)	PUNCT
ejpam-6490	166	11	if	if	SCONJ
ejpam-6490	166	12	τ0	τ0	NOUN
ejpam-6490	166	13	=	=	PUNCT
ejpam-6490	167	1	τ22	τ22	ADV
ejpam-6490	167	2	4τ4	4τ4	NUM
ejpam-6490	167	3	,	,	PUNCT
ejpam-6490	167	4	τ2	τ2	VERB
ejpam-6490	167	5	<	<	X
ejpam-6490	167	6	0	0	NUM
ejpam-6490	167	7	,	,	PUNCT
ejpam-6490	167	8	τ4	τ4	NOUN
ejpam-6490	167	9	>	>	X
ejpam-6490	167	10	0	0	PUNCT
ejpam-6490	167	11	and	and	CCONJ
ejpam-6490	167	12	ϱ	ϱ	ADP
ejpam-6490	167	13	̸=	̸=	PROPN
ejpam-6490	167	14	0	0	NUM
ejpam-6490	168	1	,	,	PUNCT
ejpam-6490	168	2	the	the	DET
ejpam-6490	168	3	following	follow	VERB
ejpam-6490	168	4	dark	dark	ADJ
ejpam-6490	168	5	soliton	soliton	NOUN
ejpam-6490	168	6	solution	solution	NOUN
ejpam-6490	168	7	is	be	AUX
ejpam-6490	168	8	obtained	obtain	VERB
ejpam-6490	168	9	:	:	PUNCT
ejpam-6490	168	10	ϕ2.1,1	ϕ2.1,1	PROPN
ejpam-6490	168	11	=	=	SYM
ejpam-6490	169	1	−α+	−α+	INTJ
ejpam-6490	170	1	γℵ	γℵ	NOUN
ejpam-6490	170	2	−	−	PROPN
ejpam-6490	170	3	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	170	4	cω	cω	PROPN
ejpam-6490	170	5	)	)	PUNCT
ejpam-6490	171	1	+	+	CCONJ
ejpam-6490	171	2	k(β	k(β	PROPN
ejpam-6490	171	3	+	+	CCONJ
ejpam-6490	171	4	kµ	kµ	PROPN
ejpam-6490	171	5	)	)	PUNCT
ejpam-6490	172	1	+	+	CCONJ
ejpam-6490	173	1	4τ2	4τ2	NUM
ejpam-6490	173	2	2ϱ	2ϱ	NOUN
ejpam-6490	173	3	+	+	CCONJ
ejpam-6490	173	4	3τ2	3τ2	NUM
ejpam-6490	173	5	ϱ	ϱ	ADP
ejpam-6490	173	6	tanh2	tanh2	NOUN
ejpam-6490	173	7	[	[	PUNCT
ejpam-6490	173	8	(	(	PUNCT
ejpam-6490	173	9	x+	x+	X
ejpam-6490	173	10	ky	ky	PROPN
ejpam-6490	173	11	+	+	CCONJ
ejpam-6490	173	12	ℵz	ℵz	PROPN
ejpam-6490	173	13	−	−	PROPN
ejpam-6490	173	14	ωt	ωt	NOUN
ejpam-6490	173	15	)	)	PUNCT
ejpam-6490	173	16	√	√	NOUN
ejpam-6490	174	1	−τ2	−τ2	PROPN
ejpam-6490	174	2	2	2	NUM
ejpam-6490	174	3	]	]	PUNCT
ejpam-6490	174	4	.	.	PUNCT
ejpam-6490	175	1	(	(	PUNCT
ejpam-6490	175	2	12	12	NUM
ejpam-6490	175	3	)	)	PUNCT
ejpam-6490	175	4	(	(	PUNCT
ejpam-6490	175	5	2.1,2	2.1,2	NUM
ejpam-6490	175	6	)	)	PUNCT
ejpam-6490	175	7	if	if	SCONJ
ejpam-6490	175	8	τ0	τ0	NOUN
ejpam-6490	175	9	=	=	PUNCT
ejpam-6490	175	10	τ22	τ22	ADV
ejpam-6490	175	11	4τ4	4τ4	NUM
ejpam-6490	175	12	,	,	PUNCT
ejpam-6490	175	13	τ2	τ2	VERB
ejpam-6490	175	14	>	>	X
ejpam-6490	175	15	0	0	NUM
ejpam-6490	175	16	,	,	PUNCT
ejpam-6490	175	17	τ4	τ4	NOUN
ejpam-6490	175	18	>	>	X
ejpam-6490	175	19	0	0	PUNCT
ejpam-6490	175	20	and	and	CCONJ
ejpam-6490	175	21	ϱ	ϱ	ADP
ejpam-6490	175	22	̸=	̸=	PROPN
ejpam-6490	175	23	0	0	NUM
ejpam-6490	175	24	,	,	PUNCT
ejpam-6490	175	25	the	the	DET
ejpam-6490	175	26	following	follow	VERB
ejpam-6490	175	27	singular	singular	ADJ
ejpam-6490	175	28	periodic	periodic	ADJ
ejpam-6490	175	29	solution	solution	NOUN
ejpam-6490	175	30	is	be	AUX
ejpam-6490	175	31	formed	form	VERB
ejpam-6490	175	32	:	:	PUNCT
ejpam-6490	176	1	ϕ2.1,2	ϕ2.1,2	PROPN
ejpam-6490	176	2	=	=	PUNCT
ejpam-6490	177	1	−α+	−α+	INTJ
ejpam-6490	178	1	γℵ	γℵ	NOUN
ejpam-6490	178	2	−	−	PROPN
ejpam-6490	178	3	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	178	4	cω	cω	PROPN
ejpam-6490	178	5	)	)	PUNCT
ejpam-6490	179	1	+	+	CCONJ
ejpam-6490	179	2	k(β	k(β	PROPN
ejpam-6490	179	3	+	+	CCONJ
ejpam-6490	179	4	kµ	kµ	PROPN
ejpam-6490	179	5	)	)	PUNCT
ejpam-6490	180	1	+	+	CCONJ
ejpam-6490	181	1	4τ2	4τ2	NUM
ejpam-6490	182	1	2ϱ	2ϱ	NOUN
ejpam-6490	182	2	−3τ2	−3τ2	NUM
ejpam-6490	182	3	ϱ	ϱ	ADP
ejpam-6490	182	4	tan2	tan2	PROPN
ejpam-6490	182	5	[	[	PUNCT
ejpam-6490	182	6	(	(	PUNCT
ejpam-6490	182	7	x+	x+	X
ejpam-6490	182	8	ky	ky	PROPN
ejpam-6490	182	9	+	+	CCONJ
ejpam-6490	182	10	ℵz	ℵz	PROPN
ejpam-6490	182	11	−	−	PROPN
ejpam-6490	182	12	ωt	ωt	PROPN
ejpam-6490	182	13	)	)	PUNCT
ejpam-6490	182	14	√	√	NOUN
ejpam-6490	183	1	τ2	τ2	NOUN
ejpam-6490	183	2	2	2	NUM
ejpam-6490	183	3	]	]	PUNCT
ejpam-6490	183	4	.	.	PUNCT
ejpam-6490	184	1	(	(	PUNCT
ejpam-6490	184	2	13	13	NUM
ejpam-6490	184	3	)	)	PUNCT
ejpam-6490	184	4	(	(	PUNCT
ejpam-6490	184	5	2.1,3	2.1,3	NOUN
ejpam-6490	184	6	)	)	PUNCT
ejpam-6490	184	7	if	if	SCONJ
ejpam-6490	184	8	τ0	τ0	NOUN
ejpam-6490	184	9	=	=	SYM
ejpam-6490	185	1	m2(1−m2)τ22	m2(1−m2)τ22	PROPN
ejpam-6490	185	2	(	(	PUNCT
ejpam-6490	185	3	2m2−1)2τ4	2m2−1)2τ4	NOUN
ejpam-6490	185	4	,	,	PUNCT
ejpam-6490	185	5	τ2	τ2	VERB
ejpam-6490	185	6	>	>	X
ejpam-6490	185	7	0	0	NUM
ejpam-6490	185	8	,	,	PUNCT
ejpam-6490	185	9	τ4	τ4	NOUN
ejpam-6490	185	10	<	<	X
ejpam-6490	185	11	0	0	PROPN
ejpam-6490	185	12	,	,	PUNCT
ejpam-6490	185	13	1√	1√	PROPN
ejpam-6490	185	14	2	2	NUM
ejpam-6490	185	15	<	<	X
ejpam-6490	185	16	m	m	VERB
ejpam-6490	185	17	≤	≤	NOUN
ejpam-6490	185	18	1	1	NUM
ejpam-6490	185	19	and	and	CCONJ
ejpam-6490	185	20	ϱ	ϱ	ADP
ejpam-6490	185	21	̸=	̸=	PROPN
ejpam-6490	185	22	0	0	NUM
ejpam-6490	185	23	,	,	PUNCT
ejpam-6490	185	24	then	then	ADV
ejpam-6490	185	25	the	the	DET
ejpam-6490	185	26	below	below	ADP
ejpam-6490	185	27	jacobi	jacobi	PROPN
ejpam-6490	185	28	elliptic	elliptic	ADJ
ejpam-6490	185	29	function	function	NOUN
ejpam-6490	185	30	solution	solution	NOUN
ejpam-6490	185	31	(	(	PUNCT
ejpam-6490	185	32	jefs	jef	NOUN
ejpam-6490	185	33	)	)	PUNCT
ejpam-6490	185	34	is	be	AUX
ejpam-6490	185	35	obtained	obtain	VERB
ejpam-6490	185	36	:	:	PUNCT
ejpam-6490	185	37	ϕ2.1,3	ϕ2.1,3	NOUN
ejpam-6490	185	38	=	=	PUNCT
ejpam-6490	186	1	−α+	−α+	INTJ
ejpam-6490	186	2	γℵ	γℵ	NOUN
ejpam-6490	186	3	−	−	PROPN
ejpam-6490	186	4	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	186	5	cω	cω	PROPN
ejpam-6490	186	6	)	)	PUNCT
ejpam-6490	187	1	+	+	CCONJ
ejpam-6490	187	2	k(β	k(β	PROPN
ejpam-6490	187	3	+	+	CCONJ
ejpam-6490	187	4	kµ	kµ	PROPN
ejpam-6490	187	5	)	)	PUNCT
ejpam-6490	188	1	+	+	CCONJ
ejpam-6490	189	1	4τ2	4τ2	NUM
ejpam-6490	189	2	2ϱ	2ϱ	NOUN
ejpam-6490	190	1	+	+	CCONJ
ejpam-6490	190	2	6m2τ2	6m2τ2	NUM
ejpam-6490	190	3	cn2	cn2	NOUN
ejpam-6490	190	4	[	[	PUNCT
ejpam-6490	190	5	(	(	PUNCT
ejpam-6490	190	6	x+	x+	X
ejpam-6490	190	7	ky	ky	PROPN
ejpam-6490	190	8	+	+	CCONJ
ejpam-6490	190	9	ℵz	ℵz	PROPN
ejpam-6490	191	1	−	−	PROPN
ejpam-6490	191	2	ωt	ωt	PROPN
ejpam-6490	191	3	)	)	PUNCT
ejpam-6490	191	4	√	√	NOUN
ejpam-6490	192	1	τ2	τ2	NOUN
ejpam-6490	192	2	2m2−1	2m2−1	NOUN
ejpam-6490	192	3	]	]	PUNCT
ejpam-6490	192	4	ϱ(2m2	ϱ(2m2	NUM
ejpam-6490	192	5	−	−	NOUN
ejpam-6490	192	6	1	1	NUM
ejpam-6490	192	7	)	)	PUNCT
ejpam-6490	192	8	.	.	PUNCT
ejpam-6490	193	1	(	(	PUNCT
ejpam-6490	193	2	14	14	X
ejpam-6490	193	3	)	)	PUNCT
ejpam-6490	193	4	set	set	VERB
ejpam-6490	193	5	m	m	NOUN
ejpam-6490	193	6	=	=	NOUN
ejpam-6490	193	7	1	1	NUM
ejpam-6490	193	8	in	in	ADP
ejpam-6490	193	9	eq	eq	ADP
ejpam-6490	193	10	.	.	PUNCT
ejpam-6490	194	1	(	(	PUNCT
ejpam-6490	194	2	14	14	NUM
ejpam-6490	194	3	)	)	PUNCT
ejpam-6490	194	4	as	as	ADP
ejpam-6490	194	5	a	a	DET
ejpam-6490	194	6	special	special	ADJ
ejpam-6490	194	7	case	case	NOUN
ejpam-6490	194	8	,	,	PUNCT
ejpam-6490	194	9	a	a	DET
ejpam-6490	194	10	bright	bright	ADJ
ejpam-6490	194	11	soliton	soliton	NOUN
ejpam-6490	194	12	solution	solution	NOUN
ejpam-6490	194	13	is	be	AUX
ejpam-6490	194	14	produced	produce	VERB
ejpam-6490	194	15	as	as	SCONJ
ejpam-6490	194	16	follows	follow	VERB
ejpam-6490	194	17	:	:	PUNCT
ejpam-6490	194	18	ϕ2.1,4	ϕ2.1,4	ADV
ejpam-6490	195	1	=	=	PUNCT
ejpam-6490	195	2	−α+	−α+	INTJ
ejpam-6490	195	3	γℵ	γℵ	NOUN
ejpam-6490	195	4	−	−	PROPN
ejpam-6490	195	5	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	195	6	cω	cω	PROPN
ejpam-6490	195	7	)	)	PUNCT
ejpam-6490	196	1	+	+	CCONJ
ejpam-6490	196	2	k(β	k(β	PROPN
ejpam-6490	196	3	+	+	CCONJ
ejpam-6490	196	4	kµ	kµ	PROPN
ejpam-6490	196	5	)	)	PUNCT
ejpam-6490	197	1	+	+	CCONJ
ejpam-6490	198	1	4τ2	4τ2	NUM
ejpam-6490	198	2	2ϱ	2ϱ	NOUN
ejpam-6490	199	1	+	+	CCONJ
ejpam-6490	199	2	6τ2	6τ2	NUM
ejpam-6490	199	3	ϱ	ϱ	ADP
ejpam-6490	199	4	sech2	sech2	NOUN
ejpam-6490	200	1	[	[	X
ejpam-6490	200	2	(	(	PUNCT
ejpam-6490	200	3	x+	x+	ADJ
ejpam-6490	200	4	ky	ky	PROPN
ejpam-6490	200	5	+	+	CCONJ
ejpam-6490	200	6	ℵz	ℵz	PROPN
ejpam-6490	200	7	−	−	PROPN
ejpam-6490	200	8	ωt	ωt	PROPN
ejpam-6490	200	9	)	)	PUNCT
ejpam-6490	200	10	√	√	ADP
ejpam-6490	200	11	τ2	τ2	PROPN
ejpam-6490	200	12	]	]	PUNCT
ejpam-6490	200	13	.	.	PUNCT
ejpam-6490	201	1	(	(	PUNCT
ejpam-6490	201	2	15	15	NUM
ejpam-6490	201	3	)	)	PUNCT
ejpam-6490	201	4	(	(	PUNCT
ejpam-6490	201	5	2.1,4	2.1,4	X
ejpam-6490	201	6	)	)	PUNCT
ejpam-6490	201	7	if	if	SCONJ
ejpam-6490	201	8	τ0	τ0	NOUN
ejpam-6490	201	9	=	=	SYM
ejpam-6490	201	10	(	(	PUNCT
ejpam-6490	201	11	1−m2)τ22	1−m2)τ22	NUM
ejpam-6490	201	12	(	(	PUNCT
ejpam-6490	201	13	2−m2)2τ4	2−m2)2τ4	NUM
ejpam-6490	201	14	,	,	PUNCT
ejpam-6490	201	15	τ2	τ2	VERB
ejpam-6490	201	16	>	>	X
ejpam-6490	201	17	0	0	NUM
ejpam-6490	201	18	,	,	PUNCT
ejpam-6490	201	19	τ4	τ4	NOUN
ejpam-6490	201	20	<	<	X
ejpam-6490	201	21	0	0	NUM
ejpam-6490	201	22	,	,	PUNCT
ejpam-6490	201	23	0	0	NUM
ejpam-6490	201	24	<	<	X
ejpam-6490	201	25	m	m	VERB
ejpam-6490	201	26	≤	≤	NOUN
ejpam-6490	201	27	1	1	NUM
ejpam-6490	201	28	and	and	CCONJ
ejpam-6490	201	29	ϱ	ϱ	ADP
ejpam-6490	201	30	̸=	̸=	PROPN
ejpam-6490	201	31	0	0	NUM
ejpam-6490	201	32	,	,	PUNCT
ejpam-6490	201	33	the	the	DET
ejpam-6490	201	34	below	below	ADP
ejpam-6490	201	35	jefs	jef	NOUN
ejpam-6490	201	36	is	be	AUX
ejpam-6490	201	37	raised	raise	VERB
ejpam-6490	201	38	:	:	PUNCT
ejpam-6490	202	1	ϕ2.1,5	ϕ2.1,5	NOUN
ejpam-6490	202	2	=	=	SYM
ejpam-6490	203	1	−α+	−α+	INTJ
ejpam-6490	203	2	γℵ	γℵ	NOUN
ejpam-6490	203	3	−	−	PROPN
ejpam-6490	203	4	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	203	5	cω	cω	PROPN
ejpam-6490	203	6	)	)	PUNCT
ejpam-6490	204	1	+	+	CCONJ
ejpam-6490	204	2	k(β	k(β	PROPN
ejpam-6490	204	3	+	+	CCONJ
ejpam-6490	204	4	kµ	kµ	PROPN
ejpam-6490	204	5	)	)	PUNCT
ejpam-6490	205	1	+	+	CCONJ
ejpam-6490	206	1	4τ2	4τ2	NUM
ejpam-6490	207	1	2ϱ	2ϱ	NOUN
ejpam-6490	207	2	+	+	CCONJ
ejpam-6490	207	3	6m2	6m2	NUM
ejpam-6490	207	4	dn2	dn2	NOUN
ejpam-6490	207	5	[	[	PUNCT
ejpam-6490	207	6	(	(	PUNCT
ejpam-6490	207	7	x+	x+	X
ejpam-6490	207	8	ky	ky	PROPN
ejpam-6490	207	9	+	+	CCONJ
ejpam-6490	207	10	ℵz	ℵz	PROPN
ejpam-6490	208	1	−	−	PROPN
ejpam-6490	208	2	ωt	ωt	PROPN
ejpam-6490	208	3	)	)	PUNCT
ejpam-6490	208	4	√	√	NOUN
ejpam-6490	208	5	τ2	τ2	NOUN
ejpam-6490	208	6	2−m2	2−m2	NUM
ejpam-6490	208	7	]	]	PUNCT
ejpam-6490	208	8	ϱ(2−m2	ϱ(2−m2	NOUN
ejpam-6490	208	9	)	)	PUNCT
ejpam-6490	208	10	.	.	PUNCT
ejpam-6490	209	1	(	(	PUNCT
ejpam-6490	209	2	16	16	X
ejpam-6490	209	3	)	)	PUNCT
ejpam-6490	209	4	set	set	VERB
ejpam-6490	209	5	m	m	NOUN
ejpam-6490	209	6	=	=	NOUN
ejpam-6490	209	7	1	1	NUM
ejpam-6490	209	8	in	in	ADP
ejpam-6490	209	9	eq	eq	ADP
ejpam-6490	209	10	.	.	PUNCT
ejpam-6490	210	1	(	(	PUNCT
ejpam-6490	210	2	16	16	NUM
ejpam-6490	210	3	)	)	PUNCT
ejpam-6490	210	4	as	as	ADP
ejpam-6490	210	5	a	a	DET
ejpam-6490	210	6	special	special	ADJ
ejpam-6490	210	7	case	case	NOUN
ejpam-6490	210	8	,	,	PUNCT
ejpam-6490	210	9	its	its	PRON
ejpam-6490	210	10	solution	solution	NOUN
ejpam-6490	210	11	resulted	result	VERB
ejpam-6490	210	12	as	as	ADP
ejpam-6490	210	13	a	a	DET
ejpam-6490	210	14	bright	bright	ADJ
ejpam-6490	210	15	soliton	soliton	NOUN
ejpam-6490	210	16	in	in	ADP
ejpam-6490	210	17	the	the	DET
ejpam-6490	210	18	following	follow	VERB
ejpam-6490	210	19	form	form	NOUN
ejpam-6490	210	20	:	:	PUNCT
ejpam-6490	211	1	ϕ2.1,6	ϕ2.1,6	PROPN
ejpam-6490	211	2	=	=	SYM
ejpam-6490	211	3	−α+	−α+	NOUN
ejpam-6490	211	4	γℵ	γℵ	NOUN
ejpam-6490	211	5	−	−	PROPN
ejpam-6490	211	6	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	211	7	cω	cω	PROPN
ejpam-6490	211	8	)	)	PUNCT
ejpam-6490	212	1	+	+	CCONJ
ejpam-6490	212	2	k(β	k(β	PROPN
ejpam-6490	212	3	+	+	CCONJ
ejpam-6490	212	4	kµ	kµ	PROPN
ejpam-6490	212	5	)	)	PUNCT
ejpam-6490	213	1	+	+	CCONJ
ejpam-6490	214	1	4τ2	4τ2	NUM
ejpam-6490	214	2	2ϱ	2ϱ	NOUN
ejpam-6490	214	3	+	+	CCONJ
ejpam-6490	214	4	6	6	NUM
ejpam-6490	214	5	ϱ	ϱ	ADP
ejpam-6490	214	6	sech2	sech2	NOUN
ejpam-6490	215	1	[	[	X
ejpam-6490	215	2	(	(	PUNCT
ejpam-6490	215	3	x+	x+	ADJ
ejpam-6490	215	4	ky	ky	PROPN
ejpam-6490	215	5	+	+	CCONJ
ejpam-6490	215	6	ℵz	ℵz	PROPN
ejpam-6490	215	7	−	−	PROPN
ejpam-6490	215	8	ωt	ωt	PROPN
ejpam-6490	215	9	)	)	PUNCT
ejpam-6490	215	10	√	√	ADP
ejpam-6490	215	11	τ2	τ2	PROPN
ejpam-6490	215	12	]	]	PUNCT
ejpam-6490	215	13	.	.	PUNCT
ejpam-6490	216	1	(	(	PUNCT
ejpam-6490	216	2	17	17	NUM
ejpam-6490	216	3	)	)	PUNCT
ejpam-6490	216	4	w.	w.	PROPN
ejpam-6490	216	5	w.	w.	PROPN
ejpam-6490	216	6	mohammed	mohammed	PROPN
ejpam-6490	216	7	et	et	PROPN
ejpam-6490	216	8	al	al	PROPN
ejpam-6490	216	9	.	.	PUNCT
ejpam-6490	216	10	/	/	SYM
ejpam-6490	216	11	eur	eur	PROPN
ejpam-6490	216	12	.	.	PUNCT
ejpam-6490	217	1	j.	j.	PROPN
ejpam-6490	217	2	pure	pure	PROPN
ejpam-6490	217	3	appl	appl	PROPN
ejpam-6490	217	4	.	.	PROPN
ejpam-6490	217	5	math	math	PROPN
ejpam-6490	217	6	,	,	PUNCT
ejpam-6490	217	7	18	18	NUM
ejpam-6490	217	8	(	(	PUNCT
ejpam-6490	217	9	3	3	NUM
ejpam-6490	217	10	)	)	PUNCT
ejpam-6490	217	11	(	(	PUNCT
ejpam-6490	217	12	2025	2025	NUM
ejpam-6490	217	13	)	)	PUNCT
ejpam-6490	217	14	,	,	PUNCT
ejpam-6490	217	15	6490	6490	NUM
ejpam-6490	217	16	9	9	NUM
ejpam-6490	217	17	of	of	ADP
ejpam-6490	217	18	23	23	NUM
ejpam-6490	217	19	(	(	PUNCT
ejpam-6490	217	20	2.1,5	2.1,5	NUM
ejpam-6490	217	21	)	)	PUNCT
ejpam-6490	217	22	if	if	SCONJ
ejpam-6490	217	23	τ0	τ0	NOUN
ejpam-6490	217	24	=	=	SYM
ejpam-6490	217	25	m2τ22	m2τ22	PROPN
ejpam-6490	217	26	(	(	PUNCT
ejpam-6490	217	27	m2	m2	PROPN
ejpam-6490	217	28	+	+	PROPN
ejpam-6490	217	29	1)2τ4	1)2τ4	NUM
ejpam-6490	217	30	,	,	PUNCT
ejpam-6490	217	31	τ2	τ2	VERB
ejpam-6490	217	32	<	<	X
ejpam-6490	217	33	0	0	NUM
ejpam-6490	217	34	,	,	PUNCT
ejpam-6490	217	35	τ4	τ4	PROPN
ejpam-6490	217	36	>	>	X
ejpam-6490	217	37	0	0	PROPN
ejpam-6490	217	38	,	,	PUNCT
ejpam-6490	217	39	0	0	NUM
ejpam-6490	217	40	<	<	X
ejpam-6490	217	41	m	m	VERB
ejpam-6490	217	42	≤	≤	NOUN
ejpam-6490	217	43	1	1	NUM
ejpam-6490	217	44	and	and	CCONJ
ejpam-6490	217	45	ϱ	ϱ	ADP
ejpam-6490	217	46	̸=	̸=	PROPN
ejpam-6490	217	47	0	0	NUM
ejpam-6490	217	48	,	,	PUNCT
ejpam-6490	217	49	then	then	ADV
ejpam-6490	217	50	a	a	DET
ejpam-6490	217	51	jefs	jef	NOUN
ejpam-6490	217	52	is	be	AUX
ejpam-6490	217	53	resulted	result	VERB
ejpam-6490	217	54	as	as	ADP
ejpam-6490	217	55	below	below	ADV
ejpam-6490	217	56	:	:	PUNCT
ejpam-6490	217	57	ϕ2.1,7	ϕ2.1,7	PROPN
ejpam-6490	218	1	=	=	PUNCT
ejpam-6490	218	2	−α+	−α+	INTJ
ejpam-6490	218	3	γℵ	γℵ	NOUN
ejpam-6490	218	4	−	−	PROPN
ejpam-6490	218	5	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	218	6	cω	cω	PROPN
ejpam-6490	218	7	)	)	PUNCT
ejpam-6490	219	1	+	+	CCONJ
ejpam-6490	219	2	k(β	k(β	PROPN
ejpam-6490	219	3	+	+	CCONJ
ejpam-6490	219	4	kµ	kµ	PROPN
ejpam-6490	219	5	)	)	PUNCT
ejpam-6490	220	1	+	+	CCONJ
ejpam-6490	221	1	4τ2	4τ2	NUM
ejpam-6490	221	2	2ϱ	2ϱ	NOUN
ejpam-6490	221	3	+	+	CCONJ
ejpam-6490	221	4	6m2	6m2	NUM
ejpam-6490	221	5	sn2	sn2	PROPN
ejpam-6490	221	6	[	[	PUNCT
ejpam-6490	221	7	(	(	PUNCT
ejpam-6490	221	8	x+	x+	PROPN
ejpam-6490	221	9	ky	ky	PROPN
ejpam-6490	221	10	+	+	CCONJ
ejpam-6490	221	11	ℵz	ℵz	PROPN
ejpam-6490	221	12	−	−	PROPN
ejpam-6490	221	13	ωt	ωt	NOUN
ejpam-6490	221	14	)	)	PUNCT
ejpam-6490	221	15	√	√	ADP
ejpam-6490	222	1	−	−	PROPN
ejpam-6490	222	2	τ2	τ2	PROPN
ejpam-6490	222	3	m2	m2	PROPN
ejpam-6490	222	4	+	+	PROPN
ejpam-6490	222	5	1	1	NUM
ejpam-6490	222	6	]	]	PUNCT
ejpam-6490	222	7	ϱ(m2	ϱ(m2	NOUN
ejpam-6490	223	1	+	+	X
ejpam-6490	223	2	1	1	NUM
ejpam-6490	223	3	)	)	PUNCT
ejpam-6490	223	4	.	.	PUNCT
ejpam-6490	224	1	(	(	PUNCT
ejpam-6490	224	2	18	18	NUM
ejpam-6490	224	3	)	)	PUNCT
ejpam-6490	224	4	special	special	ADJ
ejpam-6490	224	5	case	case	NOUN
ejpam-6490	224	6	,	,	PUNCT
ejpam-6490	224	7	when	when	SCONJ
ejpam-6490	224	8	setting	set	VERB
ejpam-6490	224	9	m	m	NOUN
ejpam-6490	224	10	=	=	NOUN
ejpam-6490	224	11	1	1	NUM
ejpam-6490	224	12	in	in	ADP
ejpam-6490	224	13	eq	eq	ADP
ejpam-6490	224	14	.	.	PUNCT
ejpam-6490	225	1	(	(	PUNCT
ejpam-6490	225	2	18	18	NUM
ejpam-6490	225	3	)	)	PUNCT
ejpam-6490	225	4	,	,	PUNCT
ejpam-6490	225	5	the	the	DET
ejpam-6490	225	6	following	follow	VERB
ejpam-6490	225	7	dark	dark	ADJ
ejpam-6490	225	8	soliton	soliton	NOUN
ejpam-6490	225	9	solution	solution	NOUN
ejpam-6490	225	10	can	can	AUX
ejpam-6490	225	11	be	be	AUX
ejpam-6490	225	12	obtained	obtain	VERB
ejpam-6490	225	13	:	:	PUNCT
ejpam-6490	225	14	ϕ2.1,8	ϕ2.1,8	PROPN
ejpam-6490	225	15	=	=	SYM
ejpam-6490	226	1	−α+	−α+	INTJ
ejpam-6490	226	2	γℵ	γℵ	NOUN
ejpam-6490	226	3	−	−	PROPN
ejpam-6490	226	4	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	226	5	cω	cω	PROPN
ejpam-6490	226	6	)	)	PUNCT
ejpam-6490	227	1	+	+	CCONJ
ejpam-6490	227	2	k(β	k(β	PROPN
ejpam-6490	227	3	+	+	CCONJ
ejpam-6490	227	4	kµ	kµ	PROPN
ejpam-6490	227	5	)	)	PUNCT
ejpam-6490	228	1	+	+	CCONJ
ejpam-6490	229	1	4τ2	4τ2	NUM
ejpam-6490	229	2	2ϱ	2ϱ	NOUN
ejpam-6490	229	3	+	+	CCONJ
ejpam-6490	229	4	3τ2	3τ2	NUM
ejpam-6490	229	5	ϱ	ϱ	ADP
ejpam-6490	229	6	tanh2	tanh2	NOUN
ejpam-6490	229	7	[	[	PUNCT
ejpam-6490	229	8	(	(	PUNCT
ejpam-6490	229	9	x+	x+	X
ejpam-6490	229	10	ky	ky	PROPN
ejpam-6490	229	11	+	+	CCONJ
ejpam-6490	229	12	ℵz	ℵz	PROPN
ejpam-6490	229	13	−	−	PROPN
ejpam-6490	229	14	ωt	ωt	NOUN
ejpam-6490	229	15	)	)	PUNCT
ejpam-6490	229	16	√	√	NOUN
ejpam-6490	230	1	−τ2	−τ2	PROPN
ejpam-6490	230	2	2	2	NUM
ejpam-6490	230	3	]	]	PUNCT
ejpam-6490	230	4	.	.	PUNCT
ejpam-6490	231	1	(	(	PUNCT
ejpam-6490	231	2	19	19	NUM
ejpam-6490	231	3	)	)	PUNCT
ejpam-6490	231	4	the	the	DET
ejpam-6490	231	5	mentioned	mention	VERB
ejpam-6490	231	6	set	set	NOUN
ejpam-6490	231	7	of	of	ADP
ejpam-6490	231	8	solutions	solution	NOUN
ejpam-6490	231	9	(	(	PUNCT
ejpam-6490	231	10	2.2	2.2	NUM
ejpam-6490	231	11	)	)	PUNCT
ejpam-6490	231	12	indicates	indicate	VERB
ejpam-6490	231	13	that	that	SCONJ
ejpam-6490	231	14	eq	eq	ADP
ejpam-6490	231	15	.	.	PUNCT
ejpam-6490	232	1	(	(	PUNCT
ejpam-6490	232	2	1	1	X
ejpam-6490	232	3	)	)	PUNCT
ejpam-6490	232	4	has	have	VERB
ejpam-6490	232	5	exact	exact	ADJ
ejpam-6490	232	6	solutions	solution	NOUN
ejpam-6490	232	7	,	,	PUNCT
ejpam-6490	232	8	which	which	PRON
ejpam-6490	232	9	can	can	AUX
ejpam-6490	232	10	be	be	AUX
ejpam-6490	232	11	phrased	phrase	VERB
ejpam-6490	232	12	as	as	ADP
ejpam-6490	232	13	:	:	PUNCT
ejpam-6490	232	14	(	(	PUNCT
ejpam-6490	232	15	2.2,1	2.2,1	NOUN
ejpam-6490	232	16	)	)	PUNCT
ejpam-6490	232	17	if	if	SCONJ
ejpam-6490	232	18	τ0	τ0	NOUN
ejpam-6490	232	19	=	=	PUNCT
ejpam-6490	233	1	τ22	τ22	ADV
ejpam-6490	233	2	4τ4	4τ4	NUM
ejpam-6490	233	3	,	,	PUNCT
ejpam-6490	233	4	τ2	τ2	VERB
ejpam-6490	233	5	<	<	X
ejpam-6490	233	6	0	0	NUM
ejpam-6490	233	7	,	,	PUNCT
ejpam-6490	233	8	τ4	τ4	NOUN
ejpam-6490	233	9	>	>	X
ejpam-6490	233	10	0	0	PUNCT
ejpam-6490	233	11	and	and	CCONJ
ejpam-6490	233	12	ϱ	ϱ	ADP
ejpam-6490	233	13	̸=	̸=	PROPN
ejpam-6490	233	14	0	0	NUM
ejpam-6490	233	15	,	,	PUNCT
ejpam-6490	233	16	the	the	DET
ejpam-6490	233	17	below	below	ADP
ejpam-6490	233	18	singular	singular	ADJ
ejpam-6490	233	19	soliton	soliton	NOUN
ejpam-6490	233	20	form	form	NOUN
ejpam-6490	233	21	is	be	AUX
ejpam-6490	233	22	appeared	appear	VERB
ejpam-6490	233	23	in	in	ADP
ejpam-6490	233	24	the	the	DET
ejpam-6490	233	25	obtained	obtain	VERB
ejpam-6490	233	26	solution	solution	NOUN
ejpam-6490	233	27	:	:	PUNCT
ejpam-6490	234	1	ϕ2.2,1	ϕ2.2,1	PROPN
ejpam-6490	234	2	=	=	SYM
ejpam-6490	234	3	−α+	−α+	PROPN
ejpam-6490	234	4	β	β	PROPN
ejpam-6490	234	5	+	+	CCONJ
ejpam-6490	234	6	kµ+	kµ+	VERB
ejpam-6490	234	7	γℵ	γℵ	PROPN
ejpam-6490	234	8	−	−	PROPN
ejpam-6490	234	9	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	234	10	cω	cω	PROPN
ejpam-6490	234	11	)	)	PUNCT
ejpam-6490	235	1	+	+	NUM
ejpam-6490	236	1	4τ2	4τ2	NUM
ejpam-6490	236	2	2ϱ	2ϱ	NOUN
ejpam-6490	236	3	+	+	CCONJ
ejpam-6490	236	4	3τ2	3τ2	NUM
ejpam-6490	236	5	ϱ	ϱ	ADP
ejpam-6490	236	6	coth2	coth2	PROPN
ejpam-6490	236	7	[	[	PUNCT
ejpam-6490	236	8	(	(	PUNCT
ejpam-6490	236	9	x+	x+	X
ejpam-6490	236	10	ky	ky	PROPN
ejpam-6490	236	11	+	+	CCONJ
ejpam-6490	236	12	ℵz	ℵz	PROPN
ejpam-6490	236	13	−	−	PROPN
ejpam-6490	236	14	ωt	ωt	NOUN
ejpam-6490	236	15	)	)	PUNCT
ejpam-6490	236	16	√	√	NOUN
ejpam-6490	237	1	−τ2	−τ2	PROPN
ejpam-6490	237	2	2	2	NUM
ejpam-6490	237	3	]	]	PUNCT
ejpam-6490	237	4	.	.	PUNCT
ejpam-6490	238	1	(	(	PUNCT
ejpam-6490	238	2	20	20	NUM
ejpam-6490	238	3	)	)	PUNCT
ejpam-6490	238	4	(	(	PUNCT
ejpam-6490	238	5	2.2,2	2.2,2	NUM
ejpam-6490	238	6	)	)	PUNCT
ejpam-6490	238	7	if	if	SCONJ
ejpam-6490	238	8	τ0	τ0	NOUN
ejpam-6490	238	9	=	=	PUNCT
ejpam-6490	238	10	τ22	τ22	ADV
ejpam-6490	238	11	4τ4	4τ4	NUM
ejpam-6490	238	12	,	,	PUNCT
ejpam-6490	238	13	τ2	τ2	VERB
ejpam-6490	238	14	>	>	X
ejpam-6490	238	15	0	0	NUM
ejpam-6490	238	16	,	,	PUNCT
ejpam-6490	238	17	τ4	τ4	NOUN
ejpam-6490	238	18	>	>	X
ejpam-6490	238	19	0	0	PUNCT
ejpam-6490	238	20	and	and	CCONJ
ejpam-6490	238	21	ϱ	ϱ	ADP
ejpam-6490	238	22	̸=	̸=	PROPN
ejpam-6490	238	23	0	0	NUM
ejpam-6490	238	24	,	,	PUNCT
ejpam-6490	238	25	following	follow	VERB
ejpam-6490	238	26	singular	singular	ADJ
ejpam-6490	238	27	periodic	periodic	ADJ
ejpam-6490	238	28	solution	solution	NOUN
ejpam-6490	238	29	is	be	AUX
ejpam-6490	238	30	obtained	obtain	VERB
ejpam-6490	238	31	:	:	PUNCT
ejpam-6490	238	32	ϕ2.2,2	ϕ2.2,2	PROPN
ejpam-6490	239	1	=	=	PUNCT
ejpam-6490	239	2	−α+	−α+	NOUN
ejpam-6490	239	3	β	β	PROPN
ejpam-6490	239	4	+	+	CCONJ
ejpam-6490	239	5	kµ+	kµ+	VERB
ejpam-6490	239	6	γℵ	γℵ	PROPN
ejpam-6490	239	7	−	−	PROPN
ejpam-6490	239	8	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	239	9	cω	cω	PROPN
ejpam-6490	239	10	)	)	PUNCT
ejpam-6490	240	1	+	+	CCONJ
ejpam-6490	241	1	4τ2	4τ2	NUM
ejpam-6490	241	2	2ϱ	2ϱ	NOUN
ejpam-6490	241	3	−3τ2	−3τ2	NUM
ejpam-6490	241	4	ϱ	ϱ	ADP
ejpam-6490	241	5	cot2	cot2	PROPN
ejpam-6490	241	6	[	[	PUNCT
ejpam-6490	241	7	(	(	PUNCT
ejpam-6490	241	8	x+	x+	X
ejpam-6490	241	9	ky	ky	PROPN
ejpam-6490	241	10	+	+	CCONJ
ejpam-6490	241	11	ℵz	ℵz	PROPN
ejpam-6490	241	12	−	−	PROPN
ejpam-6490	241	13	ωt	ωt	PROPN
ejpam-6490	241	14	)	)	PUNCT
ejpam-6490	241	15	√	√	NOUN
ejpam-6490	242	1	τ2	τ2	NOUN
ejpam-6490	242	2	2	2	NUM
ejpam-6490	242	3	]	]	PUNCT
ejpam-6490	242	4	.	.	PUNCT
ejpam-6490	243	1	(	(	PUNCT
ejpam-6490	243	2	21	21	NUM
ejpam-6490	243	3	)	)	PUNCT
ejpam-6490	243	4	(	(	PUNCT
ejpam-6490	243	5	2.2,3	2.2,3	NUM
ejpam-6490	243	6	)	)	PUNCT
ejpam-6490	243	7	if	if	SCONJ
ejpam-6490	243	8	τ0	τ0	NOUN
ejpam-6490	243	9	=	=	SYM
ejpam-6490	243	10	m2(1−m2)τ22	m2(1−m2)τ22	PROPN
ejpam-6490	243	11	(	(	PUNCT
ejpam-6490	243	12	2m2−1)2τ4	2m2−1)2τ4	NOUN
ejpam-6490	243	13	,	,	PUNCT
ejpam-6490	243	14	τ2	τ2	VERB
ejpam-6490	243	15	>	>	X
ejpam-6490	243	16	0	0	NUM
ejpam-6490	243	17	,	,	PUNCT
ejpam-6490	243	18	τ4	τ4	NOUN
ejpam-6490	243	19	<	<	X
ejpam-6490	243	20	0	0	PROPN
ejpam-6490	243	21	,	,	PUNCT
ejpam-6490	243	22	1√	1√	PROPN
ejpam-6490	243	23	2	2	NUM
ejpam-6490	243	24	<	<	X
ejpam-6490	243	25	m	m	X
ejpam-6490	243	26	<	<	X
ejpam-6490	243	27	1	1	NUM
ejpam-6490	243	28	and	and	CCONJ
ejpam-6490	243	29	ϱ	ϱ	ADP
ejpam-6490	243	30	̸=	̸=	PROPN
ejpam-6490	243	31	0	0	NUM
ejpam-6490	243	32	,	,	PUNCT
ejpam-6490	243	33	the	the	DET
ejpam-6490	243	34	below	below	ADP
ejpam-6490	243	35	jefs	jef	NOUN
ejpam-6490	243	36	is	be	AUX
ejpam-6490	243	37	obtained	obtain	VERB
ejpam-6490	243	38	:	:	PUNCT
ejpam-6490	243	39	ϕ2.2,3	ϕ2.2,3	NOUN
ejpam-6490	244	1	=	=	PUNCT
ejpam-6490	245	1	−α+	−α+	NOUN
ejpam-6490	245	2	β	β	X
ejpam-6490	245	3	+	+	CCONJ
ejpam-6490	245	4	kµ+	kµ+	VERB
ejpam-6490	245	5	γℵ	γℵ	PROPN
ejpam-6490	245	6	−	−	PROPN
ejpam-6490	245	7	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	245	8	cω	cω	PROPN
ejpam-6490	245	9	)	)	PUNCT
ejpam-6490	245	10	2ϱ	2ϱ	NOUN
ejpam-6490	245	11	−2τ2	−2τ2	PUNCT
ejpam-6490	245	12	ϱ	ϱ	ADP
ejpam-6490	245	13	1	1	PROPN
ejpam-6490	246	1	+	+	CCONJ
ejpam-6490	246	2	3	3	NUM
ejpam-6490	246	3	(	(	PUNCT
ejpam-6490	246	4	m2	m2	PROPN
ejpam-6490	246	5	−	−	PROPN
ejpam-6490	246	6	1	1	NUM
ejpam-6490	246	7	)	)	PUNCT
ejpam-6490	246	8	(	(	PUNCT
ejpam-6490	246	9	2m2	2m2	NUM
ejpam-6490	246	10	−	−	ADP
ejpam-6490	246	11	1	1	NUM
ejpam-6490	246	12	)	)	PUNCT
ejpam-6490	246	13	cn2	cn2	NOUN
ejpam-6490	246	14	[	[	PUNCT
ejpam-6490	246	15	(	(	PUNCT
ejpam-6490	246	16	x+	x+	X
ejpam-6490	246	17	ky	ky	PROPN
ejpam-6490	246	18	+	+	CCONJ
ejpam-6490	246	19	ℵz	ℵz	PROPN
ejpam-6490	246	20	−	−	PROPN
ejpam-6490	246	21	ωt	ωt	PROPN
ejpam-6490	246	22	)	)	PUNCT
ejpam-6490	246	23	√	√	NOUN
ejpam-6490	247	1	τ2	τ2	NOUN
ejpam-6490	247	2	2m2−1	2m2−1	NOUN
ejpam-6490	247	3	]	]	PUNCT
ejpam-6490	247	4			PROPN
ejpam-6490	247	5	.	.	PUNCT
ejpam-6490	248	1	(	(	PUNCT
ejpam-6490	248	2	22	22	NUM
ejpam-6490	248	3	)	)	PUNCT
ejpam-6490	248	4	(	(	PUNCT
ejpam-6490	248	5	2.2,4	2.2,4	NUM
ejpam-6490	248	6	)	)	PUNCT
ejpam-6490	248	7	if	if	SCONJ
ejpam-6490	248	8	τ0	τ0	NOUN
ejpam-6490	248	9	=	=	SYM
ejpam-6490	248	10	(	(	PUNCT
ejpam-6490	248	11	1−m2)τ22	1−m2)τ22	NUM
ejpam-6490	248	12	(	(	PUNCT
ejpam-6490	248	13	2−m2)2τ4	2−m2)2τ4	NUM
ejpam-6490	248	14	,	,	PUNCT
ejpam-6490	248	15	τ2	τ2	VERB
ejpam-6490	248	16	>	>	X
ejpam-6490	248	17	0	0	NUM
ejpam-6490	248	18	,	,	PUNCT
ejpam-6490	248	19	τ4	τ4	NOUN
ejpam-6490	248	20	<	<	X
ejpam-6490	248	21	0	0	NUM
ejpam-6490	248	22	,	,	PUNCT
ejpam-6490	248	23	0	0	PUNCT
ejpam-6490	248	24	<	<	X
ejpam-6490	248	25	m	m	X
ejpam-6490	248	26	<	<	X
ejpam-6490	248	27	1	1	NUM
ejpam-6490	248	28	and	and	CCONJ
ejpam-6490	248	29	ϱ	ϱ	ADP
ejpam-6490	248	30	̸=	̸=	PROPN
ejpam-6490	248	31	0	0	NUM
ejpam-6490	248	32	,	,	PUNCT
ejpam-6490	248	33	the	the	DET
ejpam-6490	248	34	below	below	ADP
ejpam-6490	248	35	jefs	jef	NOUN
ejpam-6490	248	36	is	be	AUX
ejpam-6490	248	37	raised	raise	VERB
ejpam-6490	248	38	:	:	PUNCT
ejpam-6490	249	1	ϕ2.2,4	ϕ2.2,4	PROPN
ejpam-6490	250	1	=	=	SYM
ejpam-6490	250	2	−α+	−α+	NOUN
ejpam-6490	250	3	β	β	PROPN
ejpam-6490	250	4	+	+	CCONJ
ejpam-6490	250	5	kµ+	kµ+	VERB
ejpam-6490	250	6	γℵ	γℵ	PROPN
ejpam-6490	250	7	−	−	PROPN
ejpam-6490	250	8	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	250	9	cω	cω	PROPN
ejpam-6490	250	10	)	)	PUNCT
ejpam-6490	251	1	+	+	NUM
ejpam-6490	252	1	4τ2	4τ2	NUM
ejpam-6490	252	2	2ϱ	2ϱ	NOUN
ejpam-6490	253	1	+	+	CCONJ
ejpam-6490	253	2	6	6	NUM
ejpam-6490	253	3	(	(	PUNCT
ejpam-6490	253	4	m2	m2	PROPN
ejpam-6490	253	5	−	−	PROPN
ejpam-6490	253	6	1	1	NUM
ejpam-6490	253	7	)	)	PUNCT
ejpam-6490	253	8	τ22	τ22	NUM
ejpam-6490	254	1	m2	m2	PROPN
ejpam-6490	254	2	(	(	PUNCT
ejpam-6490	254	3	m2	m2	PROPN
ejpam-6490	254	4	−	−	PROPN
ejpam-6490	254	5	2	2	NUM
ejpam-6490	254	6	)	)	PUNCT
ejpam-6490	254	7	ϱ	ϱ	ADP
ejpam-6490	254	8	dn2	dn2	NOUN
ejpam-6490	254	9	[	[	PUNCT
ejpam-6490	254	10	(	(	PUNCT
ejpam-6490	254	11	x+	x+	X
ejpam-6490	254	12	ky	ky	PROPN
ejpam-6490	254	13	+	+	CCONJ
ejpam-6490	254	14	ℵz	ℵz	PROPN
ejpam-6490	254	15	−	−	PROPN
ejpam-6490	254	16	ωt	ωt	PROPN
ejpam-6490	254	17	)	)	PUNCT
ejpam-6490	254	18	√	√	NOUN
ejpam-6490	255	1	τ2	τ2	NOUN
ejpam-6490	255	2	2−m2	2−m2	NUM
ejpam-6490	255	3	]	]	PUNCT
ejpam-6490	255	4	.	.	PUNCT
ejpam-6490	256	1	(	(	PUNCT
ejpam-6490	256	2	23	23	NUM
ejpam-6490	256	3	)	)	PUNCT
ejpam-6490	256	4	w.	w.	PROPN
ejpam-6490	256	5	w.	w.	PROPN
ejpam-6490	256	6	mohammed	mohammed	PROPN
ejpam-6490	256	7	et	et	PROPN
ejpam-6490	256	8	al	al	PROPN
ejpam-6490	256	9	.	.	PUNCT
ejpam-6490	256	10	/	/	SYM
ejpam-6490	256	11	eur	eur	PROPN
ejpam-6490	256	12	.	.	PUNCT
ejpam-6490	257	1	j.	j.	PROPN
ejpam-6490	257	2	pure	pure	PROPN
ejpam-6490	257	3	appl	appl	PROPN
ejpam-6490	257	4	.	.	PROPN
ejpam-6490	257	5	math	math	PROPN
ejpam-6490	257	6	,	,	PUNCT
ejpam-6490	257	7	18	18	NUM
ejpam-6490	257	8	(	(	PUNCT
ejpam-6490	257	9	3	3	NUM
ejpam-6490	257	10	)	)	PUNCT
ejpam-6490	257	11	(	(	PUNCT
ejpam-6490	257	12	2025	2025	NUM
ejpam-6490	257	13	)	)	PUNCT
ejpam-6490	257	14	,	,	PUNCT
ejpam-6490	257	15	6490	6490	NUM
ejpam-6490	257	16	10	10	NUM
ejpam-6490	257	17	of	of	ADP
ejpam-6490	257	18	23	23	NUM
ejpam-6490	257	19	(	(	PUNCT
ejpam-6490	257	20	2.2,5	2.2,5	NUM
ejpam-6490	257	21	)	)	PUNCT
ejpam-6490	257	22	if	if	SCONJ
ejpam-6490	257	23	τ0	τ0	NOUN
ejpam-6490	257	24	=	=	SYM
ejpam-6490	257	25	m2τ22	m2τ22	PROPN
ejpam-6490	257	26	(	(	PUNCT
ejpam-6490	257	27	m2	m2	PROPN
ejpam-6490	257	28	+	+	PROPN
ejpam-6490	257	29	1)2τ4	1)2τ4	NUM
ejpam-6490	257	30	,	,	PUNCT
ejpam-6490	257	31	τ2	τ2	VERB
ejpam-6490	257	32	<	<	X
ejpam-6490	257	33	0	0	NUM
ejpam-6490	257	34	,	,	PUNCT
ejpam-6490	257	35	τ4	τ4	PROPN
ejpam-6490	257	36	>	>	X
ejpam-6490	257	37	0	0	PROPN
ejpam-6490	257	38	,	,	PUNCT
ejpam-6490	257	39	0	0	NUM
ejpam-6490	257	40	≤	≤	NUM
ejpam-6490	257	41	m	m	VERB
ejpam-6490	257	42	≤	≤	NOUN
ejpam-6490	257	43	1	1	NUM
ejpam-6490	257	44	and	and	CCONJ
ejpam-6490	257	45	ϱ	ϱ	ADP
ejpam-6490	257	46	̸=	̸=	PROPN
ejpam-6490	257	47	0	0	NUM
ejpam-6490	257	48	,	,	PUNCT
ejpam-6490	257	49	the	the	DET
ejpam-6490	257	50	obtained	obtain	VERB
ejpam-6490	257	51	solution	solution	NOUN
ejpam-6490	257	52	is	be	AUX
ejpam-6490	257	53	resulted	result	VERB
ejpam-6490	257	54	as	as	ADP
ejpam-6490	257	55	the	the	DET
ejpam-6490	257	56	below	below	ADP
ejpam-6490	257	57	jefs	jef	NOUN
ejpam-6490	257	58	:	:	PUNCT
ejpam-6490	257	59	ϕ2.2,5	ϕ2.2,5	PROPN
ejpam-6490	258	1	=	=	SYM
ejpam-6490	258	2	−α+	−α+	NOUN
ejpam-6490	258	3	β	β	PROPN
ejpam-6490	258	4	+	+	CCONJ
ejpam-6490	258	5	kµ+	kµ+	VERB
ejpam-6490	258	6	γℵ	γℵ	PROPN
ejpam-6490	258	7	−	−	PROPN
ejpam-6490	258	8	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	258	9	cω	cω	PROPN
ejpam-6490	258	10	)	)	PUNCT
ejpam-6490	258	11	2ϱ	2ϱ	NOUN
ejpam-6490	258	12	−2τ2	−2τ2	NUM
ejpam-6490	258	13	ϱ	ϱ	ADP
ejpam-6490	258	14	1−	1−	NOUN
ejpam-6490	258	15	3	3	NUM
ejpam-6490	258	16	(	(	PUNCT
ejpam-6490	258	17	1	1	NUM
ejpam-6490	258	18	+	+	NOUN
ejpam-6490	258	19	m2	m2	PROPN
ejpam-6490	258	20	)	)	PUNCT
ejpam-6490	258	21	sn2	sn2	PROPN
ejpam-6490	258	22	[	[	PUNCT
ejpam-6490	258	23	(	(	PUNCT
ejpam-6490	258	24	x+	x+	PROPN
ejpam-6490	258	25	ky	ky	PROPN
ejpam-6490	258	26	+	+	CCONJ
ejpam-6490	258	27	ℵz	ℵz	PROPN
ejpam-6490	258	28	−	−	PROPN
ejpam-6490	258	29	ωt	ωt	NOUN
ejpam-6490	258	30	)	)	PUNCT
ejpam-6490	258	31	√	√	NOUN
ejpam-6490	259	1	−	−	PROPN
ejpam-6490	259	2	τ2	τ2	NOUN
ejpam-6490	259	3	1+m2	1+m2	NOUN
ejpam-6490	259	4	]	]	PUNCT
ejpam-6490	259	5			PROPN
ejpam-6490	259	6	.	.	PUNCT
ejpam-6490	260	1	(	(	PUNCT
ejpam-6490	260	2	24	24	NUM
ejpam-6490	260	3	)	)	PUNCT
ejpam-6490	260	4	set	set	VERB
ejpam-6490	260	5	m	m	PROPN
ejpam-6490	260	6	=	=	NOUN
ejpam-6490	260	7	0	0	NUM
ejpam-6490	260	8	in	in	ADP
ejpam-6490	260	9	eq	eq	ADP
ejpam-6490	260	10	.	.	PUNCT
ejpam-6490	261	1	(	(	PUNCT
ejpam-6490	261	2	24	24	NUM
ejpam-6490	261	3	)	)	PUNCT
ejpam-6490	261	4	as	as	ADP
ejpam-6490	261	5	a	a	DET
ejpam-6490	261	6	special	special	ADJ
ejpam-6490	261	7	case	case	NOUN
ejpam-6490	261	8	,	,	PUNCT
ejpam-6490	261	9	then	then	ADV
ejpam-6490	261	10	the	the	DET
ejpam-6490	261	11	solution	solution	NOUN
ejpam-6490	261	12	resulted	result	VERB
ejpam-6490	261	13	as	as	ADP
ejpam-6490	261	14	the	the	DET
ejpam-6490	261	15	below	below	ADP
ejpam-6490	261	16	singular	singular	ADJ
ejpam-6490	261	17	periodic	periodic	ADJ
ejpam-6490	261	18	solution	solution	NOUN
ejpam-6490	261	19	:	:	PUNCT
ejpam-6490	261	20	ϕ2.2,6	ϕ2.2,6	PUNCT
ejpam-6490	262	1	=	=	PUNCT
ejpam-6490	262	2	−α+	−α+	ADJ
ejpam-6490	262	3	β	β	PROPN
ejpam-6490	262	4	+	+	CCONJ
ejpam-6490	262	5	kµ+	kµ+	VERB
ejpam-6490	262	6	γℵ	γℵ	PROPN
ejpam-6490	262	7	−	−	PROPN
ejpam-6490	262	8	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	262	9	cω	cω	PROPN
ejpam-6490	262	10	)	)	PUNCT
ejpam-6490	263	1	+	+	NUM
ejpam-6490	264	1	4τ2	4τ2	NUM
ejpam-6490	264	2	2ϱ	2ϱ	NOUN
ejpam-6490	265	1	+	+	CCONJ
ejpam-6490	265	2	6τ2	6τ2	NUM
ejpam-6490	265	3	ϱ	ϱ	ADP
ejpam-6490	265	4	csc2	csc2	NOUN
ejpam-6490	265	5	[	[	PUNCT
ejpam-6490	265	6	(	(	PUNCT
ejpam-6490	265	7	x+	x+	X
ejpam-6490	265	8	ky	ky	PROPN
ejpam-6490	265	9	+	+	CCONJ
ejpam-6490	265	10	ℵz	ℵz	PROPN
ejpam-6490	265	11	−	−	PROPN
ejpam-6490	265	12	ωt	ωt	NOUN
ejpam-6490	265	13	)	)	PUNCT
ejpam-6490	265	14	√	√	NOUN
ejpam-6490	266	1	−τ2	−τ2	PROPN
ejpam-6490	266	2	]	]	PUNCT
ejpam-6490	266	3	.	.	PUNCT
ejpam-6490	267	1	(	(	PUNCT
ejpam-6490	267	2	25	25	NUM
ejpam-6490	267	3	)	)	PUNCT
ejpam-6490	267	4	set	set	VERB
ejpam-6490	267	5	m	m	NOUN
ejpam-6490	267	6	=	=	NOUN
ejpam-6490	267	7	1	1	NUM
ejpam-6490	267	8	in	in	ADP
ejpam-6490	267	9	eq	eq	ADP
ejpam-6490	267	10	.	.	PUNCT
ejpam-6490	268	1	(	(	PUNCT
ejpam-6490	268	2	24	24	NUM
ejpam-6490	268	3	)	)	PUNCT
ejpam-6490	268	4	as	as	ADP
ejpam-6490	268	5	a	a	DET
ejpam-6490	268	6	special	special	ADJ
ejpam-6490	268	7	case	case	NOUN
ejpam-6490	268	8	,	,	PUNCT
ejpam-6490	268	9	then	then	ADV
ejpam-6490	268	10	the	the	DET
ejpam-6490	268	11	solution	solution	NOUN
ejpam-6490	268	12	resulted	result	VERB
ejpam-6490	268	13	as	as	ADP
ejpam-6490	268	14	the	the	DET
ejpam-6490	268	15	following	follow	VERB
ejpam-6490	268	16	singular	singular	ADJ
ejpam-6490	268	17	soliton	soliton	NOUN
ejpam-6490	268	18	solution	solution	NOUN
ejpam-6490	268	19	:	:	PUNCT
ejpam-6490	268	20	ϕ2.2,7	ϕ2.2,7	NOUN
ejpam-6490	269	1	=	=	PUNCT
ejpam-6490	270	1	−α+	−α+	NOUN
ejpam-6490	270	2	β	β	PROPN
ejpam-6490	270	3	+	+	CCONJ
ejpam-6490	270	4	kµ+	kµ+	VERB
ejpam-6490	270	5	γℵ	γℵ	PROPN
ejpam-6490	270	6	−	−	PROPN
ejpam-6490	270	7	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	270	8	cω	cω	PROPN
ejpam-6490	270	9	)	)	PUNCT
ejpam-6490	271	1	+	+	NUM
ejpam-6490	272	1	4τ2	4τ2	NUM
ejpam-6490	272	2	2ϱ	2ϱ	NOUN
ejpam-6490	272	3	+	+	CCONJ
ejpam-6490	272	4	3τ2	3τ2	NUM
ejpam-6490	272	5	ϱ	ϱ	ADP
ejpam-6490	272	6	coth2	coth2	PROPN
ejpam-6490	272	7	[	[	PUNCT
ejpam-6490	272	8	(	(	PUNCT
ejpam-6490	272	9	x+	x+	X
ejpam-6490	272	10	ky	ky	PROPN
ejpam-6490	272	11	+	+	CCONJ
ejpam-6490	272	12	ℵz	ℵz	PROPN
ejpam-6490	272	13	−	−	PROPN
ejpam-6490	272	14	ωt	ωt	NOUN
ejpam-6490	272	15	)	)	PUNCT
ejpam-6490	272	16	√	√	NOUN
ejpam-6490	273	1	−τ2	−τ2	PROPN
ejpam-6490	273	2	2	2	NUM
ejpam-6490	273	3	]	]	PUNCT
ejpam-6490	273	4	.	.	PUNCT
ejpam-6490	274	1	(	(	PUNCT
ejpam-6490	274	2	26	26	NUM
ejpam-6490	274	3	)	)	PUNCT
ejpam-6490	274	4	considering	consider	VERB
ejpam-6490	274	5	the	the	DET
ejpam-6490	274	6	set	set	NOUN
ejpam-6490	274	7	of	of	ADP
ejpam-6490	274	8	solutions	solution	NOUN
ejpam-6490	274	9	(	(	PUNCT
ejpam-6490	274	10	2.3	2.3	NUM
ejpam-6490	274	11	)	)	PUNCT
ejpam-6490	274	12	,	,	PUNCT
ejpam-6490	274	13	then	then	ADV
ejpam-6490	274	14	eq	eq	ADP
ejpam-6490	274	15	.	.	PUNCT
ejpam-6490	275	1	(	(	PUNCT
ejpam-6490	275	2	1	1	X
ejpam-6490	275	3	)	)	PUNCT
ejpam-6490	275	4	has	have	VERB
ejpam-6490	275	5	exact	exact	ADJ
ejpam-6490	275	6	solutions	solution	NOUN
ejpam-6490	275	7	,	,	PUNCT
ejpam-6490	275	8	which	which	PRON
ejpam-6490	275	9	can	can	AUX
ejpam-6490	275	10	be	be	AUX
ejpam-6490	275	11	phrased	phrase	VERB
ejpam-6490	275	12	as	as	ADP
ejpam-6490	275	13	:	:	PUNCT
ejpam-6490	275	14	(	(	PUNCT
ejpam-6490	275	15	2.3,1	2.3,1	NOUN
ejpam-6490	275	16	)	)	PUNCT
ejpam-6490	275	17	if	if	SCONJ
ejpam-6490	275	18	τ0	τ0	NOUN
ejpam-6490	275	19	=	=	PUNCT
ejpam-6490	276	1	τ22	τ22	ADV
ejpam-6490	276	2	4τ4	4τ4	NUM
ejpam-6490	276	3	,	,	PUNCT
ejpam-6490	276	4	τ2	τ2	VERB
ejpam-6490	276	5	<	<	X
ejpam-6490	276	6	0	0	NUM
ejpam-6490	276	7	,	,	PUNCT
ejpam-6490	276	8	τ4	τ4	PROPN
ejpam-6490	276	9	>	>	X
ejpam-6490	276	10	0	0	PROPN
ejpam-6490	276	11	,	,	PUNCT
ejpam-6490	276	12	and	and	CCONJ
ejpam-6490	276	13	ϱ	ϱ	ADP
ejpam-6490	276	14	̸=	̸=	PROPN
ejpam-6490	276	15	0	0	NUM
ejpam-6490	276	16	,	,	PUNCT
ejpam-6490	276	17	the	the	DET
ejpam-6490	276	18	solution	solution	NOUN
ejpam-6490	276	19	is	be	AUX
ejpam-6490	276	20	obtained	obtain	VERB
ejpam-6490	276	21	in	in	ADP
ejpam-6490	276	22	a	a	DET
ejpam-6490	276	23	singular	singular	ADJ
ejpam-6490	276	24	soliton	soliton	NOUN
ejpam-6490	276	25	form	form	NOUN
ejpam-6490	276	26	given	give	VERB
ejpam-6490	276	27	as	as	SCONJ
ejpam-6490	276	28	follows	follow	VERB
ejpam-6490	276	29	:	:	PUNCT
ejpam-6490	276	30	ϕ2.3,1	ϕ2.3,1	PUNCT
ejpam-6490	277	1	=	=	PUNCT
ejpam-6490	277	2	−α+	−α+	INTJ
ejpam-6490	277	3	γℵ	γℵ	NOUN
ejpam-6490	277	4	−	−	PROPN
ejpam-6490	277	5	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	277	6	cω	cω	PROPN
ejpam-6490	277	7	)	)	PUNCT
ejpam-6490	278	1	+	+	CCONJ
ejpam-6490	278	2	k(β	k(β	PROPN
ejpam-6490	278	3	+	+	CCONJ
ejpam-6490	278	4	kµ	kµ	PROPN
ejpam-6490	278	5	)	)	PUNCT
ejpam-6490	279	1	+	+	CCONJ
ejpam-6490	279	2	16τ2	16τ2	NUM
ejpam-6490	279	3	2ϱ	2ϱ	NOUN
ejpam-6490	279	4	+	+	CCONJ
ejpam-6490	280	1	12τ2	12τ2	NUM
ejpam-6490	280	2	ϱ	ϱ	ADP
ejpam-6490	280	3	coth2	coth2	NOUN
ejpam-6490	280	4	[	[	PUNCT
ejpam-6490	280	5	(	(	PUNCT
ejpam-6490	280	6	x+	x+	X
ejpam-6490	280	7	ky	ky	PROPN
ejpam-6490	280	8	+	+	CCONJ
ejpam-6490	280	9	ℵz	ℵz	PROPN
ejpam-6490	280	10	−	−	PROPN
ejpam-6490	280	11	ωt	ωt	NOUN
ejpam-6490	280	12	)	)	PUNCT
ejpam-6490	280	13	√	√	PROPN
ejpam-6490	280	14	−2τ2	−2τ2	NUM
ejpam-6490	280	15	]	]	PUNCT
ejpam-6490	280	16	.	.	PUNCT
ejpam-6490	281	1	(	(	PUNCT
ejpam-6490	281	2	27	27	NUM
ejpam-6490	281	3	)	)	PUNCT
ejpam-6490	281	4	(	(	PUNCT
ejpam-6490	281	5	2.3,2	2.3,2	NOUN
ejpam-6490	281	6	)	)	PUNCT
ejpam-6490	281	7	if	if	SCONJ
ejpam-6490	281	8	τ0	τ0	NOUN
ejpam-6490	281	9	=	=	PUNCT
ejpam-6490	281	10	τ22	τ22	ADV
ejpam-6490	281	11	4τ4	4τ4	NUM
ejpam-6490	281	12	,	,	PUNCT
ejpam-6490	281	13	τ2	τ2	VERB
ejpam-6490	281	14	>	>	X
ejpam-6490	281	15	0	0	NUM
ejpam-6490	281	16	,	,	PUNCT
ejpam-6490	281	17	τ4	τ4	NOUN
ejpam-6490	281	18	>	>	X
ejpam-6490	281	19	0	0	PUNCT
ejpam-6490	281	20	and	and	CCONJ
ejpam-6490	281	21	ϱ	ϱ	ADP
ejpam-6490	281	22	̸=	̸=	PROPN
ejpam-6490	281	23	0	0	NUM
ejpam-6490	281	24	,	,	PUNCT
ejpam-6490	281	25	the	the	DET
ejpam-6490	281	26	following	follow	VERB
ejpam-6490	281	27	singular	singular	ADJ
ejpam-6490	281	28	periodic	periodic	ADJ
ejpam-6490	281	29	solution	solution	NOUN
ejpam-6490	281	30	is	be	AUX
ejpam-6490	281	31	obtained	obtain	VERB
ejpam-6490	281	32	:	:	PUNCT
ejpam-6490	281	33	ϕ2.3,2	ϕ2.3,2	X
ejpam-6490	281	34	=	=	SYM
ejpam-6490	282	1	−α+	−α+	INTJ
ejpam-6490	283	1	γℵ	γℵ	NOUN
ejpam-6490	283	2	−	−	NOUN
ejpam-6490	283	3	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	283	4	cω	cω	PROPN
ejpam-6490	283	5	)	)	PUNCT
ejpam-6490	284	1	+	+	CCONJ
ejpam-6490	284	2	k(β	k(β	PROPN
ejpam-6490	284	3	+	+	PUNCT
ejpam-6490	284	4	kµ)−	kµ)−	NOUN
ejpam-6490	284	5	8τ2	8τ2	NOUN
ejpam-6490	284	6	2ϱ	2ϱ	NUM
ejpam-6490	284	7	−12τ2	−12τ2	X
ejpam-6490	284	8	ϱ	ϱ	ADP
ejpam-6490	284	9	csc2	csc2	NOUN
ejpam-6490	284	10	[	[	PUNCT
ejpam-6490	284	11	(	(	PUNCT
ejpam-6490	284	12	x+	x+	X
ejpam-6490	284	13	ky	ky	PROPN
ejpam-6490	284	14	+	+	CCONJ
ejpam-6490	284	15	ℵz	ℵz	PROPN
ejpam-6490	284	16	−	−	PROPN
ejpam-6490	284	17	ωt	ωt	NOUN
ejpam-6490	284	18	)	)	PUNCT
ejpam-6490	284	19	√	√	NOUN
ejpam-6490	284	20	2τ2	2τ2	NUM
ejpam-6490	284	21	]	]	PUNCT
ejpam-6490	284	22	.	.	PUNCT
ejpam-6490	285	1	(	(	PUNCT
ejpam-6490	285	2	28	28	NUM
ejpam-6490	285	3	)	)	PUNCT
ejpam-6490	285	4	(	(	PUNCT
ejpam-6490	285	5	2.3,3	2.3,3	NOUN
ejpam-6490	285	6	)	)	PUNCT
ejpam-6490	285	7	if	if	SCONJ
ejpam-6490	285	8	τ0	τ0	NOUN
ejpam-6490	285	9	=	=	SYM
ejpam-6490	286	1	m2(1−m2)τ22	m2(1−m2)τ22	PROPN
ejpam-6490	286	2	(	(	PUNCT
ejpam-6490	286	3	2m2−1)2τ4	2m2−1)2τ4	NOUN
ejpam-6490	286	4	,	,	PUNCT
ejpam-6490	286	5	τ2	τ2	VERB
ejpam-6490	286	6	>	>	X
ejpam-6490	286	7	0	0	NUM
ejpam-6490	286	8	,	,	PUNCT
ejpam-6490	286	9	τ4	τ4	NOUN
ejpam-6490	286	10	<	<	X
ejpam-6490	286	11	0	0	PROPN
ejpam-6490	286	12	,	,	PUNCT
ejpam-6490	286	13	1√	1√	PROPN
ejpam-6490	286	14	2	2	NUM
ejpam-6490	286	15	<	<	X
ejpam-6490	286	16	m	m	VERB
ejpam-6490	286	17	≤	≤	NOUN
ejpam-6490	286	18	1	1	NUM
ejpam-6490	286	19	and	and	CCONJ
ejpam-6490	286	20	ϱ	ϱ	ADP
ejpam-6490	286	21	̸=	̸=	PROPN
ejpam-6490	286	22	0	0	NUM
ejpam-6490	286	23	,	,	PUNCT
ejpam-6490	286	24	a	a	DET
ejpam-6490	286	25	jefs	jef	NOUN
ejpam-6490	286	26	is	be	AUX
ejpam-6490	286	27	obtained	obtain	VERB
ejpam-6490	286	28	as	as	SCONJ
ejpam-6490	286	29	follows	follow	VERB
ejpam-6490	286	30	:	:	PUNCT
ejpam-6490	286	31	ϕ2.3,3	ϕ2.3,3	PROPN
ejpam-6490	286	32	=	=	PUNCT
ejpam-6490	287	1	−	−	PROPN
ejpam-6490	287	2	α	α	NOUN
ejpam-6490	287	3	+	+	CCONJ
ejpam-6490	287	4	γℵ	γℵ	PROPN
ejpam-6490	287	5	−	−	NOUN
ejpam-6490	287	6	ω(ϑ	ω(ϑ	PUNCT
ejpam-6490	287	7	−	−	PROPN
ejpam-6490	287	8	cω	cω	NOUN
ejpam-6490	287	9	)	)	PUNCT
ejpam-6490	288	1	+	+	CCONJ
ejpam-6490	288	2	k(β	k(β	PROPN
ejpam-6490	288	3	+	+	CCONJ
ejpam-6490	288	4	kµ	kµ	PROPN
ejpam-6490	288	5	)	)	PUNCT
ejpam-6490	289	1	+	+	CCONJ
ejpam-6490	290	1	4τ2	4τ2	NUM
ejpam-6490	290	2	2ϱ	2ϱ	NOUN
ejpam-6490	290	3	−	−	NOUN
ejpam-6490	291	1	6τ2	6τ2	NUM
ejpam-6490	291	2	ϱ	ϱ	ADP
ejpam-6490	291	3			PROPN
ejpam-6490	291	4	(	(	PUNCT
ejpam-6490	291	5	m2	m2	PROPN
ejpam-6490	291	6	−	−	PROPN
ejpam-6490	291	7	1	1	NUM
ejpam-6490	291	8	)	)	PUNCT
ejpam-6490	291	9	(	(	PUNCT
ejpam-6490	291	10	2m2	2m2	NUM
ejpam-6490	291	11	−	−	NUM
ejpam-6490	291	12	1	1	NUM
ejpam-6490	291	13	)	)	PUNCT
ejpam-6490	291	14	cn2	cn2	NOUN
ejpam-6490	291	15	[	[	PUNCT
ejpam-6490	291	16	(	(	PUNCT
ejpam-6490	291	17	x	x	SYM
ejpam-6490	291	18	+	+	NUM
ejpam-6490	291	19	ky	ky	NOUN
ejpam-6490	291	20	+	+	CCONJ
ejpam-6490	291	21	ℵz	ℵz	PROPN
ejpam-6490	291	22	−	−	PROPN
ejpam-6490	291	23	ωt	ωt	PROPN
ejpam-6490	291	24	)	)	PUNCT
ejpam-6490	291	25	√	√	NOUN
ejpam-6490	292	1	τ2	τ2	NOUN
ejpam-6490	292	2	2m2−1	2m2−1	NOUN
ejpam-6490	292	3	]	]	PUNCT
ejpam-6490	292	4	−	−	PROPN
ejpam-6490	292	5	m2cn2	m2cn2	NOUN
ejpam-6490	292	6	[	[	PUNCT
ejpam-6490	292	7	(	(	PUNCT
ejpam-6490	292	8	x	x	SYM
ejpam-6490	292	9	+	+	NUM
ejpam-6490	292	10	ky	ky	NOUN
ejpam-6490	292	11	+	+	CCONJ
ejpam-6490	292	12	ℵz	ℵz	PROPN
ejpam-6490	292	13	−	−	PROPN
ejpam-6490	292	14	ωt	ωt	PROPN
ejpam-6490	292	15	)	)	PUNCT
ejpam-6490	292	16	√	√	NOUN
ejpam-6490	293	1	τ2	τ2	NOUN
ejpam-6490	293	2	2m2−1	2m2−1	NOUN
ejpam-6490	293	3	]	]	PUNCT
ejpam-6490	293	4	2m2	2m2	NUM
ejpam-6490	293	5	−	−	SYM
ejpam-6490	293	6	1	1	NUM
ejpam-6490	293	7			NOUN
ejpam-6490	293	8	.	.	PUNCT
ejpam-6490	294	1	(	(	PUNCT
ejpam-6490	294	2	29	29	NUM
ejpam-6490	294	3	)	)	PUNCT
ejpam-6490	294	4	set	set	VERB
ejpam-6490	294	5	m	m	NOUN
ejpam-6490	294	6	=	=	NOUN
ejpam-6490	294	7	1	1	NUM
ejpam-6490	294	8	in	in	ADP
ejpam-6490	294	9	eq	eq	ADP
ejpam-6490	294	10	.	.	PUNCT
ejpam-6490	295	1	(	(	PUNCT
ejpam-6490	295	2	29	29	NUM
ejpam-6490	295	3	)	)	PUNCT
ejpam-6490	295	4	as	as	ADP
ejpam-6490	295	5	a	a	DET
ejpam-6490	295	6	special	special	ADJ
ejpam-6490	295	7	case	case	NOUN
ejpam-6490	295	8	,	,	PUNCT
ejpam-6490	295	9	its	its	PRON
ejpam-6490	295	10	solution	solution	NOUN
ejpam-6490	295	11	is	be	AUX
ejpam-6490	295	12	obtained	obtain	VERB
ejpam-6490	295	13	as	as	ADP
ejpam-6490	295	14	the	the	DET
ejpam-6490	295	15	below	below	ADP
ejpam-6490	295	16	bright	bright	ADJ
ejpam-6490	295	17	soliton	soliton	NOUN
ejpam-6490	295	18	solution	solution	NOUN
ejpam-6490	295	19	:	:	PUNCT
ejpam-6490	295	20	ϕ2.3,4	ϕ2.3,4	NOUN
ejpam-6490	296	1	=	=	PUNCT
ejpam-6490	296	2	−α+	−α+	INTJ
ejpam-6490	296	3	γℵ	γℵ	NOUN
ejpam-6490	296	4	−	−	PROPN
ejpam-6490	296	5	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	296	6	cω	cω	PROPN
ejpam-6490	296	7	)	)	PUNCT
ejpam-6490	297	1	+	+	CCONJ
ejpam-6490	297	2	k(β	k(β	PROPN
ejpam-6490	297	3	+	+	CCONJ
ejpam-6490	297	4	kµ	kµ	PROPN
ejpam-6490	297	5	)	)	PUNCT
ejpam-6490	298	1	+	+	CCONJ
ejpam-6490	299	1	4τ2	4τ2	NUM
ejpam-6490	299	2	2ϱ	2ϱ	NOUN
ejpam-6490	300	1	+	+	CCONJ
ejpam-6490	300	2	6τ2	6τ2	NUM
ejpam-6490	300	3	ϱ	ϱ	ADP
ejpam-6490	300	4	sech2	sech2	NOUN
ejpam-6490	301	1	[	[	X
ejpam-6490	301	2	(	(	PUNCT
ejpam-6490	301	3	x+	x+	ADJ
ejpam-6490	301	4	ky	ky	PROPN
ejpam-6490	301	5	+	+	CCONJ
ejpam-6490	301	6	ℵz	ℵz	PROPN
ejpam-6490	301	7	−	−	PROPN
ejpam-6490	301	8	ωt	ωt	PROPN
ejpam-6490	301	9	)	)	PUNCT
ejpam-6490	301	10	√	√	ADP
ejpam-6490	301	11	τ2	τ2	PROPN
ejpam-6490	301	12	]	]	PUNCT
ejpam-6490	301	13	.	.	PUNCT
ejpam-6490	302	1	(	(	PUNCT
ejpam-6490	302	2	30	30	X
ejpam-6490	302	3	)	)	PUNCT
ejpam-6490	302	4	w.	w.	PROPN
ejpam-6490	302	5	w.	w.	PROPN
ejpam-6490	302	6	mohammed	mohammed	PROPN
ejpam-6490	302	7	et	et	PROPN
ejpam-6490	302	8	al	al	PROPN
ejpam-6490	302	9	.	.	PUNCT
ejpam-6490	302	10	/	/	SYM
ejpam-6490	302	11	eur	eur	PROPN
ejpam-6490	302	12	.	.	PUNCT
ejpam-6490	303	1	j.	j.	PROPN
ejpam-6490	303	2	pure	pure	PROPN
ejpam-6490	303	3	appl	appl	PROPN
ejpam-6490	303	4	.	.	PROPN
ejpam-6490	303	5	math	math	PROPN
ejpam-6490	303	6	,	,	PUNCT
ejpam-6490	303	7	18	18	NUM
ejpam-6490	303	8	(	(	PUNCT
ejpam-6490	303	9	3	3	NUM
ejpam-6490	303	10	)	)	PUNCT
ejpam-6490	303	11	(	(	PUNCT
ejpam-6490	303	12	2025	2025	NUM
ejpam-6490	303	13	)	)	PUNCT
ejpam-6490	303	14	,	,	PUNCT
ejpam-6490	303	15	6490	6490	NUM
ejpam-6490	303	16	11	11	NUM
ejpam-6490	303	17	of	of	ADP
ejpam-6490	303	18	23	23	NUM
ejpam-6490	303	19	(	(	PUNCT
ejpam-6490	303	20	2.3,4	2.3,4	X
ejpam-6490	303	21	)	)	PUNCT
ejpam-6490	303	22	if	if	SCONJ
ejpam-6490	303	23	τ0	τ0	NOUN
ejpam-6490	303	24	=	=	SYM
ejpam-6490	303	25	(	(	PUNCT
ejpam-6490	303	26	1−m2)τ22	1−m2)τ22	NUM
ejpam-6490	303	27	(	(	PUNCT
ejpam-6490	303	28	2−m2)2τ4	2−m2)2τ4	NUM
ejpam-6490	303	29	,	,	PUNCT
ejpam-6490	303	30	τ2	τ2	VERB
ejpam-6490	303	31	>	>	X
ejpam-6490	303	32	0	0	NUM
ejpam-6490	303	33	,	,	PUNCT
ejpam-6490	303	34	τ4	τ4	NOUN
ejpam-6490	303	35	<	<	X
ejpam-6490	303	36	0	0	NUM
ejpam-6490	303	37	,	,	PUNCT
ejpam-6490	303	38	0	0	NUM
ejpam-6490	303	39	<	<	X
ejpam-6490	303	40	m	m	VERB
ejpam-6490	303	41	≤	≤	NOUN
ejpam-6490	303	42	1	1	NUM
ejpam-6490	303	43	and	and	CCONJ
ejpam-6490	303	44	ϱ	ϱ	ADP
ejpam-6490	303	45	̸=	̸=	PROPN
ejpam-6490	303	46	0	0	NUM
ejpam-6490	303	47	,	,	PUNCT
ejpam-6490	303	48	a	a	DET
ejpam-6490	303	49	jefs	jef	NOUN
ejpam-6490	303	50	is	be	AUX
ejpam-6490	303	51	obtained	obtain	VERB
ejpam-6490	303	52	as	as	ADP
ejpam-6490	303	53	below	below	ADV
ejpam-6490	303	54	:	:	PUNCT
ejpam-6490	304	1	ϕ2.3,5	ϕ2.3,5	NOUN
ejpam-6490	304	2	=	=	PUNCT
ejpam-6490	305	1	−	−	NOUN
ejpam-6490	305	2	α	α	INTJ
ejpam-6490	305	3	+	+	CCONJ
ejpam-6490	305	4	γℵ	γℵ	PROPN
ejpam-6490	305	5	−	−	NOUN
ejpam-6490	305	6	ω(ϑ	ω(ϑ	PUNCT
ejpam-6490	305	7	−	−	PROPN
ejpam-6490	305	8	cω	cω	NOUN
ejpam-6490	305	9	)	)	PUNCT
ejpam-6490	306	1	+	+	CCONJ
ejpam-6490	306	2	k(β	k(β	PROPN
ejpam-6490	306	3	+	+	CCONJ
ejpam-6490	306	4	kµ	kµ	PROPN
ejpam-6490	306	5	)	)	PUNCT
ejpam-6490	307	1	+	+	CCONJ
ejpam-6490	308	1	4τ2	4τ2	NUM
ejpam-6490	308	2	2ϱ	2ϱ	NOUN
ejpam-6490	308	3	+	+	CCONJ
ejpam-6490	308	4	6	6	NUM
ejpam-6490	308	5	ϱ	ϱ	ADP
ejpam-6490	308	6	m2dn2	m2dn2	NOUN
ejpam-6490	308	7	[	[	PUNCT
ejpam-6490	308	8	(	(	PUNCT
ejpam-6490	308	9	x	x	SYM
ejpam-6490	308	10	+	+	NUM
ejpam-6490	308	11	ky	ky	NOUN
ejpam-6490	308	12	+	+	CCONJ
ejpam-6490	308	13	ℵz	ℵz	PROPN
ejpam-6490	308	14	−	−	PROPN
ejpam-6490	308	15	ωt	ωt	PROPN
ejpam-6490	308	16	)	)	PUNCT
ejpam-6490	308	17	√	√	NOUN
ejpam-6490	309	1	τ2	τ2	NOUN
ejpam-6490	309	2	2−m2	2−m2	NUM
ejpam-6490	309	3	]	]	PUNCT
ejpam-6490	309	4	2	2	NUM
ejpam-6490	309	5	−	−	PROPN
ejpam-6490	309	6	m2	m2	PROPN
ejpam-6490	309	7	−	−	PROPN
ejpam-6490	309	8	(	(	PUNCT
ejpam-6490	309	9	m2	m2	PROPN
ejpam-6490	309	10	−	−	PROPN
ejpam-6490	309	11	1	1	X
ejpam-6490	309	12	)	)	PUNCT
ejpam-6490	309	13	τ2	τ2	PROPN
ejpam-6490	309	14	2	2	NUM
ejpam-6490	309	15	m2	m2	PROPN
ejpam-6490	309	16	(	(	PUNCT
ejpam-6490	309	17	2	2	NUM
ejpam-6490	309	18	−	−	PROPN
ejpam-6490	309	19	m2	m2	PROPN
ejpam-6490	309	20	)	)	PUNCT
ejpam-6490	309	21	dn2	dn2	NOUN
ejpam-6490	309	22	[	[	PUNCT
ejpam-6490	309	23	(	(	PUNCT
ejpam-6490	309	24	x	x	SYM
ejpam-6490	309	25	+	+	NUM
ejpam-6490	309	26	ky	ky	NOUN
ejpam-6490	309	27	+	+	CCONJ
ejpam-6490	309	28	ℵz	ℵz	PROPN
ejpam-6490	309	29	−	−	PROPN
ejpam-6490	309	30	ωt	ωt	PROPN
ejpam-6490	309	31	)	)	PUNCT
ejpam-6490	309	32	√	√	NOUN
ejpam-6490	310	1	τ2	τ2	NOUN
ejpam-6490	310	2	2−m2	2−m2	NUM
ejpam-6490	310	3	]	]	PUNCT
ejpam-6490	310	4			NOUN
ejpam-6490	310	5	.	.	PUNCT
ejpam-6490	311	1	(	(	PUNCT
ejpam-6490	311	2	31	31	NUM
ejpam-6490	311	3	)	)	PUNCT
ejpam-6490	311	4	set	set	VERB
ejpam-6490	311	5	m	m	NOUN
ejpam-6490	311	6	=	=	NOUN
ejpam-6490	311	7	1	1	NUM
ejpam-6490	311	8	in	in	ADP
ejpam-6490	311	9	eq	eq	ADP
ejpam-6490	311	10	.	.	PUNCT
ejpam-6490	312	1	(	(	PUNCT
ejpam-6490	312	2	31	31	NUM
ejpam-6490	312	3	)	)	PUNCT
ejpam-6490	312	4	as	as	ADP
ejpam-6490	312	5	a	a	DET
ejpam-6490	312	6	special	special	ADJ
ejpam-6490	312	7	case	case	NOUN
ejpam-6490	312	8	,	,	PUNCT
ejpam-6490	312	9	the	the	DET
ejpam-6490	312	10	solution	solution	NOUN
ejpam-6490	312	11	is	be	AUX
ejpam-6490	312	12	obtained	obtain	VERB
ejpam-6490	312	13	as	as	ADP
ejpam-6490	312	14	a	a	DET
ejpam-6490	312	15	bright	bright	ADJ
ejpam-6490	312	16	soliton	soliton	NOUN
ejpam-6490	312	17	type	type	NOUN
ejpam-6490	312	18	as	as	ADP
ejpam-6490	312	19	below	below	ADV
ejpam-6490	312	20	:	:	PUNCT
ejpam-6490	312	21	ϕ2.3,6	ϕ2.3,6	PROPN
ejpam-6490	312	22	=	=	SYM
ejpam-6490	313	1	−α+	−α+	NOUN
ejpam-6490	314	1	γℵ	γℵ	NOUN
ejpam-6490	314	2	−	−	PROPN
ejpam-6490	314	3	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	314	4	cω	cω	PROPN
ejpam-6490	314	5	)	)	PUNCT
ejpam-6490	315	1	+	+	CCONJ
ejpam-6490	315	2	k(β	k(β	PROPN
ejpam-6490	315	3	+	+	CCONJ
ejpam-6490	315	4	kµ	kµ	PROPN
ejpam-6490	315	5	)	)	PUNCT
ejpam-6490	316	1	+	+	CCONJ
ejpam-6490	317	1	4τ2	4τ2	NUM
ejpam-6490	317	2	2ϱ	2ϱ	NOUN
ejpam-6490	317	3	+	+	CCONJ
ejpam-6490	317	4	6	6	NUM
ejpam-6490	317	5	ϱ	ϱ	ADP
ejpam-6490	317	6	sech2	sech2	NOUN
ejpam-6490	318	1	[	[	X
ejpam-6490	318	2	(	(	PUNCT
ejpam-6490	318	3	x+	x+	ADJ
ejpam-6490	318	4	ky	ky	PROPN
ejpam-6490	318	5	+	+	CCONJ
ejpam-6490	318	6	ℵz	ℵz	PROPN
ejpam-6490	318	7	−	−	PROPN
ejpam-6490	318	8	ωt	ωt	PROPN
ejpam-6490	318	9	)	)	PUNCT
ejpam-6490	318	10	√	√	ADP
ejpam-6490	318	11	τ2	τ2	PROPN
ejpam-6490	318	12	]	]	PUNCT
ejpam-6490	318	13	.	.	PUNCT
ejpam-6490	319	1	(	(	PUNCT
ejpam-6490	319	2	32	32	NUM
ejpam-6490	319	3	)	)	PUNCT
ejpam-6490	319	4	(	(	PUNCT
ejpam-6490	319	5	2.3,5	2.3,5	NOUN
ejpam-6490	319	6	)	)	PUNCT
ejpam-6490	319	7	if	if	SCONJ
ejpam-6490	319	8	τ0	τ0	NOUN
ejpam-6490	319	9	=	=	SYM
ejpam-6490	319	10	m2τ22	m2τ22	PROPN
ejpam-6490	319	11	(	(	PUNCT
ejpam-6490	319	12	m2	m2	PROPN
ejpam-6490	319	13	+	+	PROPN
ejpam-6490	319	14	1)2τ4	1)2τ4	NUM
ejpam-6490	319	15	,	,	PUNCT
ejpam-6490	319	16	τ2	τ2	VERB
ejpam-6490	319	17	<	<	X
ejpam-6490	319	18	0	0	NUM
ejpam-6490	319	19	,	,	PUNCT
ejpam-6490	319	20	τ4	τ4	PROPN
ejpam-6490	319	21	>	>	X
ejpam-6490	319	22	0	0	PROPN
ejpam-6490	319	23	,	,	PUNCT
ejpam-6490	319	24	ϱ	ϱ	ADP
ejpam-6490	319	25	̸=	̸=	PROPN
ejpam-6490	319	26	0	0	NUM
ejpam-6490	319	27	and	and	CCONJ
ejpam-6490	319	28	0	0	NUM
ejpam-6490	319	29	≤	≤	NUM
ejpam-6490	319	30	m	m	VERB
ejpam-6490	319	31	≤	≤	NUM
ejpam-6490	319	32	1	1	NUM
ejpam-6490	319	33	,	,	PUNCT
ejpam-6490	319	34	the	the	DET
ejpam-6490	319	35	following	follow	VERB
ejpam-6490	319	36	jefs	jef	NOUN
ejpam-6490	319	37	is	be	AUX
ejpam-6490	319	38	resulted	result	VERB
ejpam-6490	319	39	:	:	PUNCT
ejpam-6490	320	1	ϕ2.3,7	ϕ2.3,7	PROPN
ejpam-6490	320	2	=	=	SYM
ejpam-6490	321	1	−	−	PROPN
ejpam-6490	321	2	α	α	NOUN
ejpam-6490	321	3	+	+	CCONJ
ejpam-6490	321	4	γℵ	γℵ	PROPN
ejpam-6490	321	5	−	−	NOUN
ejpam-6490	321	6	ω(ϑ	ω(ϑ	PUNCT
ejpam-6490	321	7	−	−	PROPN
ejpam-6490	321	8	cω	cω	NOUN
ejpam-6490	321	9	)	)	PUNCT
ejpam-6490	322	1	+	+	CCONJ
ejpam-6490	322	2	k(β	k(β	PROPN
ejpam-6490	322	3	+	+	CCONJ
ejpam-6490	322	4	kµ	kµ	PROPN
ejpam-6490	322	5	)	)	PUNCT
ejpam-6490	323	1	+	+	CCONJ
ejpam-6490	324	1	4τ2	4τ2	NUM
ejpam-6490	325	1	2ϱ	2ϱ	NOUN
ejpam-6490	326	1	+	+	CCONJ
ejpam-6490	326	2	6τ2	6τ2	NUM
ejpam-6490	326	3	ϱ	ϱ	ADP
ejpam-6490	326	4			ADJ
ejpam-6490	326	5	1	1	NUM
ejpam-6490	326	6	(	(	PUNCT
ejpam-6490	326	7	m2	m2	PROPN
ejpam-6490	326	8	+	+	PROPN
ejpam-6490	326	9	1	1	X
ejpam-6490	326	10	)	)	PUNCT
ejpam-6490	326	11	sn2	sn2	PROPN
ejpam-6490	326	12	[	[	PUNCT
ejpam-6490	326	13	(	(	PUNCT
ejpam-6490	326	14	x	x	SYM
ejpam-6490	326	15	+	+	NUM
ejpam-6490	326	16	ky	ky	NOUN
ejpam-6490	326	17	+	+	CCONJ
ejpam-6490	326	18	ℵz	ℵz	PROPN
ejpam-6490	327	1	−	−	PROPN
ejpam-6490	327	2	ωt	ωt	NOUN
ejpam-6490	327	3	)	)	PUNCT
ejpam-6490	327	4	√	√	ADP
ejpam-6490	327	5	−	−	PROPN
ejpam-6490	327	6	τ2	τ2	PROPN
ejpam-6490	327	7	m2	m2	PROPN
ejpam-6490	327	8	+	+	PROPN
ejpam-6490	327	9	1	1	NUM
ejpam-6490	327	10	]	]	PUNCT
ejpam-6490	328	1	+	+	NUM
ejpam-6490	328	2	m2sn2	m2sn2	NOUN
ejpam-6490	328	3	(	(	PUNCT
ejpam-6490	328	4	x	x	SYM
ejpam-6490	328	5	+	+	NUM
ejpam-6490	328	6	ky	ky	NOUN
ejpam-6490	328	7	+	+	CCONJ
ejpam-6490	328	8	ℵz	ℵz	PROPN
ejpam-6490	328	9	−	−	PROPN
ejpam-6490	328	10	ωt	ωt	NOUN
ejpam-6490	328	11	)	)	PUNCT
ejpam-6490	328	12	√	√	ADP
ejpam-6490	328	13	−	−	PROPN
ejpam-6490	328	14	τ2	τ2	PROPN
ejpam-6490	328	15	m2	m2	PROPN
ejpam-6490	328	16	+	+	PROPN
ejpam-6490	328	17	1	1	NUM
ejpam-6490	328	18	]	]	PUNCT
ejpam-6490	328	19	m2	m2	PROPN
ejpam-6490	328	20	+	+	CCONJ
ejpam-6490	328	21	1	1	NUM
ejpam-6490	328	22			NOUN
ejpam-6490	328	23	.	.	PUNCT
ejpam-6490	329	1	(	(	PUNCT
ejpam-6490	329	2	33	33	NUM
ejpam-6490	329	3	)	)	PUNCT
ejpam-6490	329	4	special	special	ADJ
ejpam-6490	329	5	case	case	NOUN
ejpam-6490	329	6	,	,	PUNCT
ejpam-6490	329	7	when	when	SCONJ
ejpam-6490	329	8	setting	set	VERB
ejpam-6490	329	9	m	m	NOUN
ejpam-6490	329	10	=	=	X
ejpam-6490	329	11	0	0	NUM
ejpam-6490	329	12	in	in	ADP
ejpam-6490	329	13	eq	eq	ADP
ejpam-6490	329	14	.	.	PUNCT
ejpam-6490	330	1	(	(	PUNCT
ejpam-6490	330	2	33	33	NUM
ejpam-6490	330	3	)	)	PUNCT
ejpam-6490	330	4	,	,	PUNCT
ejpam-6490	330	5	the	the	DET
ejpam-6490	330	6	following	follow	VERB
ejpam-6490	330	7	singular	singular	ADJ
ejpam-6490	330	8	periodic	periodic	ADJ
ejpam-6490	330	9	solution	solution	NOUN
ejpam-6490	330	10	can	can	AUX
ejpam-6490	330	11	be	be	AUX
ejpam-6490	330	12	obtained	obtain	VERB
ejpam-6490	330	13	:	:	PUNCT
ejpam-6490	330	14	ϕ2.3,8	ϕ2.3,8	PROPN
ejpam-6490	331	1	=	=	SYM
ejpam-6490	331	2	−α+	−α+	INTJ
ejpam-6490	331	3	γℵ	γℵ	NOUN
ejpam-6490	331	4	−	−	PROPN
ejpam-6490	331	5	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	331	6	cω	cω	PROPN
ejpam-6490	331	7	)	)	PUNCT
ejpam-6490	332	1	+	+	CCONJ
ejpam-6490	332	2	k(β	k(β	PROPN
ejpam-6490	332	3	+	+	CCONJ
ejpam-6490	332	4	kµ	kµ	PROPN
ejpam-6490	332	5	)	)	PUNCT
ejpam-6490	333	1	+	+	CCONJ
ejpam-6490	334	1	4τ2	4τ2	NUM
ejpam-6490	335	1	2ϱ	2ϱ	NOUN
ejpam-6490	336	1	+	+	CCONJ
ejpam-6490	336	2	6τ2	6τ2	NUM
ejpam-6490	336	3	ϱ	ϱ	ADP
ejpam-6490	336	4	csc2	csc2	NOUN
ejpam-6490	336	5	[	[	PUNCT
ejpam-6490	336	6	(	(	PUNCT
ejpam-6490	336	7	x+	x+	X
ejpam-6490	336	8	ky	ky	PROPN
ejpam-6490	336	9	+	+	CCONJ
ejpam-6490	336	10	ℵz	ℵz	PROPN
ejpam-6490	336	11	−	−	PROPN
ejpam-6490	336	12	ωt	ωt	NOUN
ejpam-6490	336	13	)	)	PUNCT
ejpam-6490	336	14	√	√	NOUN
ejpam-6490	337	1	−τ2	−τ2	PROPN
ejpam-6490	337	2	]	]	PUNCT
ejpam-6490	337	3	.	.	PUNCT
ejpam-6490	338	1	(	(	PUNCT
ejpam-6490	338	2	34	34	NUM
ejpam-6490	338	3	)	)	PUNCT
ejpam-6490	338	4	special	special	ADJ
ejpam-6490	338	5	case	case	NOUN
ejpam-6490	338	6	,	,	PUNCT
ejpam-6490	338	7	when	when	SCONJ
ejpam-6490	338	8	setting	set	VERB
ejpam-6490	338	9	m	m	NOUN
ejpam-6490	338	10	=	=	NOUN
ejpam-6490	338	11	1	1	NUM
ejpam-6490	338	12	in	in	ADP
ejpam-6490	338	13	eq	eq	ADP
ejpam-6490	338	14	.	.	PUNCT
ejpam-6490	339	1	(	(	PUNCT
ejpam-6490	339	2	33	33	NUM
ejpam-6490	339	3	)	)	PUNCT
ejpam-6490	339	4	,	,	PUNCT
ejpam-6490	339	5	the	the	DET
ejpam-6490	339	6	following	follow	VERB
ejpam-6490	339	7	singular	singular	ADJ
ejpam-6490	339	8	soliton	soliton	NOUN
ejpam-6490	339	9	solution	solution	NOUN
ejpam-6490	339	10	can	can	AUX
ejpam-6490	339	11	be	be	AUX
ejpam-6490	339	12	obtained	obtain	VERB
ejpam-6490	339	13	:	:	PUNCT
ejpam-6490	340	1	ϕ2.3,9	ϕ2.3,9	PROPN
ejpam-6490	340	2	=	=	PUNCT
ejpam-6490	340	3	−α+	−α+	INTJ
ejpam-6490	340	4	γℵ	γℵ	NOUN
ejpam-6490	340	5	−	−	PROPN
ejpam-6490	340	6	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	340	7	cω	cω	PROPN
ejpam-6490	340	8	)	)	PUNCT
ejpam-6490	341	1	+	+	CCONJ
ejpam-6490	341	2	k(β	k(β	PROPN
ejpam-6490	341	3	+	+	CCONJ
ejpam-6490	341	4	kµ	kµ	PROPN
ejpam-6490	341	5	)	)	PUNCT
ejpam-6490	342	1	+	+	CCONJ
ejpam-6490	342	2	16τ2	16τ2	NUM
ejpam-6490	342	3	2ϱ	2ϱ	NOUN
ejpam-6490	342	4	+	+	CCONJ
ejpam-6490	343	1	12τ2	12τ2	NUM
ejpam-6490	343	2	ϱ	ϱ	ADP
ejpam-6490	343	3	coth2	coth2	NOUN
ejpam-6490	343	4	[	[	PUNCT
ejpam-6490	343	5	(	(	PUNCT
ejpam-6490	343	6	x+	x+	X
ejpam-6490	343	7	ky	ky	PROPN
ejpam-6490	343	8	+	+	CCONJ
ejpam-6490	343	9	ℵz	ℵz	PROPN
ejpam-6490	343	10	−	−	PROPN
ejpam-6490	343	11	ωt	ωt	NOUN
ejpam-6490	343	12	)	)	PUNCT
ejpam-6490	343	13	√	√	PROPN
ejpam-6490	343	14	−2τ2	−2τ2	NUM
ejpam-6490	343	15	]	]	PUNCT
ejpam-6490	343	16	.	.	PUNCT
ejpam-6490	344	1	(	(	PUNCT
ejpam-6490	344	2	35	35	NUM
ejpam-6490	344	3	)	)	PUNCT
ejpam-6490	344	4	family	family	NOUN
ejpam-6490	344	5	(	(	PUNCT
ejpam-6490	344	6	3	3	NUM
ejpam-6490	344	7	):	):	PUNCT
ejpam-6490	344	8	if	if	SCONJ
ejpam-6490	344	9	τ2	τ2	NOUN
ejpam-6490	344	10	=	=	SYM
ejpam-6490	344	11	τ4	τ4	NOUN
ejpam-6490	344	12	=	=	SYM
ejpam-6490	344	13	0	0	PROPN
ejpam-6490	344	14	,	,	PUNCT
ejpam-6490	344	15	the	the	DET
ejpam-6490	344	16	resulted	resulted	ADJ
ejpam-6490	344	17	set	set	NOUN
ejpam-6490	344	18	of	of	ADP
ejpam-6490	344	19	solutions	solution	NOUN
ejpam-6490	344	20	is	be	AUX
ejpam-6490	344	21	mentioned	mention	VERB
ejpam-6490	344	22	below	below	ADV
ejpam-6490	344	23	:	:	PUNCT
ejpam-6490	344	24	d1	d1	PROPN
ejpam-6490	344	25	=	=	SYM
ejpam-6490	344	26	d2	d2	PROPN
ejpam-6490	344	27	=	=	SYM
ejpam-6490	344	28	0	0	PROPN
ejpam-6490	344	29	,	,	PUNCT
ejpam-6490	344	30	d0	d0	NOUN
ejpam-6490	344	31	=	=	SYM
ejpam-6490	345	1	−α+	−α+	INTJ
ejpam-6490	345	2	γℵ	γℵ	NOUN
ejpam-6490	345	3	−	−	PROPN
ejpam-6490	345	4	ω(ϑ−	ω(ϑ−	ADV
ejpam-6490	345	5	cω	cω	PROPN
ejpam-6490	345	6	)	)	PUNCT
ejpam-6490	346	1	+	+	CCONJ
ejpam-6490	346	2	k(β	k(β	PROPN
ejpam-6490	346	3	+	+	CCONJ
ejpam-6490	346	4	kµ)−	kµ)−	NOUN
ejpam-6490	346	5	3	3	NUM
ejpam-6490	346	6	3	3	NUM
ejpam-6490	346	7	√	√	NUM
ejpam-6490	346	8	τ0τ23	τ0τ23	NOUN
ejpam-6490	346	9	2ϱ	2ϱ	ADV
ejpam-6490	346	10	,	,	PUNCT
ejpam-6490	346	11	f1	f1	NOUN
ejpam-6490	346	12	=	=	NOUN
ejpam-6490	346	13	6	6	NUM
ejpam-6490	346	14	3	3	NUM
ejpam-6490	346	15	√	√	PROPN
ejpam-6490	346	16	τ20	τ20	NUM
ejpam-6490	346	17	τ3	τ3	NOUN
ejpam-6490	346	18	ϱ	ϱ	NOUN
ejpam-6490	346	19	,	,	PUNCT
ejpam-6490	346	20	f2	f2	PROPN
ejpam-6490	346	21	=	=	NOUN
ejpam-6490	346	22	−6τ0	−6τ0	SYM
ejpam-6490	346	23	ϱ	ϱ	NOUN
ejpam-6490	346	24	,	,	PUNCT
ejpam-6490	346	25	τ1	τ1	NOUN
ejpam-6490	346	26	=	=	SYM
ejpam-6490	346	27	−2	−2	PROPN
ejpam-6490	346	28	3	3	NUM
ejpam-6490	346	29	√	√	PROPN
ejpam-6490	346	30	τ20	τ20	NUM
ejpam-6490	346	31	τ3	τ3	NOUN
ejpam-6490	346	32	.	.	PUNCT
ejpam-6490	347	1	the	the	DET
ejpam-6490	347	2	exact	exact	ADJ
ejpam-6490	347	3	solution	solution	NOUN
ejpam-6490	347	4	to	to	ADP
ejpam-6490	347	5	eq	eq	PROPN
ejpam-6490	347	6	.	.	PUNCT
ejpam-6490	348	1	(	(	PUNCT
ejpam-6490	348	2	1	1	X
ejpam-6490	348	3	)	)	PUNCT
ejpam-6490	348	4	that	that	PRON
ejpam-6490	348	5	arises	arise	VERB
ejpam-6490	348	6	from	from	ADP
ejpam-6490	348	7	this	this	DET
ejpam-6490	348	8	set	set	NOUN
ejpam-6490	348	9	of	of	ADP
ejpam-6490	348	10	solutions	solution	NOUN
ejpam-6490	348	11	is	be	AUX
ejpam-6490	348	12	as	as	SCONJ
ejpam-6490	348	13	follows	follow	VERB
ejpam-6490	348	14	:	:	PUNCT
ejpam-6490	348	15	if	if	SCONJ
ejpam-6490	348	16	τ0	τ0	NOUN
ejpam-6490	348	17	̸=	̸=	PROPN
ejpam-6490	348	18	0	0	NUM
ejpam-6490	348	19	,	,	PUNCT
ejpam-6490	348	20	τ1	τ1	ADP
ejpam-6490	348	21	̸=	̸=	PROPN
ejpam-6490	348	22	0	0	NUM
ejpam-6490	348	23	,	,	PUNCT
ejpam-6490	348	24	τ3	τ3	NOUN
ejpam-6490	348	25	>	>	X
ejpam-6490	348	26	0	0	PUNCT
ejpam-6490	348	27	and	and	CCONJ
ejpam-6490	348	28	ϱ	ϱ	ADP
ejpam-6490	348	29	̸=	̸=	PROPN
ejpam-6490	348	30	0	0	NUM
ejpam-6490	348	31	,	,	PUNCT
ejpam-6490	348	32	a	a	DET
ejpam-6490	348	33	weierstrass	weierstrass	NOUN
ejpam-6490	348	34	elliptic	elliptic	ADJ
ejpam-6490	348	35	doubly	doubly	ADV
ejpam-6490	348	36	periodic	periodic	ADJ
ejpam-6490	348	37	function	function	NOUN
ejpam-6490	348	38	is	be	AUX
ejpam-6490	348	39	produced	produce	VERB
ejpam-6490	348	40	in	in	ADP
ejpam-6490	348	41	the	the	DET
ejpam-6490	348	42	form	form	NOUN
ejpam-6490	348	43	of	of	ADP
ejpam-6490	348	44	solution	solution	NOUN
ejpam-6490	348	45	:	:	PUNCT
ejpam-6490	348	46	ϕ3.1	ϕ3.1	PROPN
ejpam-6490	348	47	=	=	PUNCT
ejpam-6490	349	1	−	−	X
ejpam-6490	349	2	α	α	NOUN
ejpam-6490	350	1	−	−	NOUN
ejpam-6490	350	2	ω(ϑ	ω(ϑ	PUNCT
ejpam-6490	350	3	−	−	PROPN
ejpam-6490	350	4	cω	cω	NOUN
ejpam-6490	350	5	)	)	PUNCT
ejpam-6490	351	1	+	+	CCONJ
ejpam-6490	351	2	k(β	k(β	PROPN
ejpam-6490	351	3	+	+	CCONJ
ejpam-6490	351	4	kµ	kµ	PROPN
ejpam-6490	351	5	)	)	PUNCT
ejpam-6490	352	1	−	−	PROPN
ejpam-6490	352	2	3	3	NUM
ejpam-6490	352	3	3	3	NUM
ejpam-6490	352	4	√	√	PROPN
ejpam-6490	352	5	τ0τ	τ0τ	PUNCT
ejpam-6490	352	6	2	2	NUM
ejpam-6490	352	7	3	3	NUM
ejpam-6490	352	8	2ϱ	2ϱ	NOUN
ejpam-6490	353	1	+	+	CCONJ
ejpam-6490	353	2	6	6	NUM
ejpam-6490	353	3	(	(	PUNCT
ejpam-6490	353	4	τ0	τ0	NOUN
ejpam-6490	353	5	−	−	PROPN
ejpam-6490	353	6	3	3	NUM
ejpam-6490	353	7	√	√	NOUN
ejpam-6490	353	8	τ2	τ2	PROPN
ejpam-6490	353	9	0	0	NUM
ejpam-6490	353	10	τ3	τ3	NOUN
ejpam-6490	353	11	℘	℘	PROPN
ejpam-6490	353	12	[	[	PUNCT
ejpam-6490	353	13	(	(	PUNCT
ejpam-6490	353	14	x	x	SYM
ejpam-6490	353	15	+	+	NUM
ejpam-6490	353	16	ky	ky	NOUN
ejpam-6490	353	17	+	+	CCONJ
ejpam-6490	353	18	ℵz	ℵz	PROPN
ejpam-6490	353	19	−	−	PROPN
ejpam-6490	353	20	ωt	ωt	NOUN
ejpam-6490	353	21	)	)	PUNCT
ejpam-6490	353	22	√	√	NUM
ejpam-6490	353	23	τ3	τ3	NOUN
ejpam-6490	353	24	4	4	NUM
ejpam-6490	353	25	;	;	PUNCT
ejpam-6490	353	26	(	(	PUNCT
ejpam-6490	353	27	8	8	NUM
ejpam-6490	353	28	3	3	NUM
ejpam-6490	353	29	√	√	NOUN
ejpam-6490	353	30	τ2	τ2	PROPN
ejpam-6490	353	31	0	0	NUM
ejpam-6490	353	32	τ3	τ3	NOUN
ejpam-6490	353	33	τ3	τ3	NOUN
ejpam-6490	353	34	,	,	PUNCT
ejpam-6490	353	35	−	−	PROPN
ejpam-6490	353	36	4τ0	4τ0	NUM
ejpam-6490	353	37	τ3	τ3	PROPN
ejpam-6490	353	38	)	)	PUNCT
ejpam-6490	353	39	]	]	PUNCT
ejpam-6490	353	40	)	)	PUNCT
ejpam-6490	353	41	ϱ	ϱ	ADP
ejpam-6490	353	42	℘2	℘2	PROPN
ejpam-6490	353	43	[	[	PUNCT
ejpam-6490	353	44	(	(	PUNCT
ejpam-6490	353	45	x	x	SYM
ejpam-6490	353	46	+	+	NUM
ejpam-6490	353	47	ky	ky	NOUN
ejpam-6490	353	48	+	+	CCONJ
ejpam-6490	353	49	ℵz	ℵz	PROPN
ejpam-6490	353	50	−	−	PROPN
ejpam-6490	353	51	ωt	ωt	NOUN
ejpam-6490	353	52	)	)	PUNCT
ejpam-6490	353	53	√	√	NUM
ejpam-6490	353	54	τ3	τ3	NOUN
ejpam-6490	353	55	4	4	NUM
ejpam-6490	353	56	;	;	PUNCT
ejpam-6490	353	57	(	(	PUNCT
ejpam-6490	353	58	8	8	NUM
ejpam-6490	353	59	3	3	NUM
ejpam-6490	353	60	√	√	NOUN
ejpam-6490	353	61	τ2	τ2	PROPN
ejpam-6490	353	62	0	0	NUM
ejpam-6490	353	63	τ3	τ3	NOUN
ejpam-6490	353	64	τ3	τ3	NOUN
ejpam-6490	353	65	,	,	PUNCT
ejpam-6490	353	66	−	−	PROPN
ejpam-6490	353	67	4τ0	4τ0	NUM
ejpam-6490	353	68	τ3	τ3	PROPN
ejpam-6490	353	69	)	)	PUNCT
ejpam-6490	353	70	]	]	PUNCT
ejpam-6490	353	71	.	.	PUNCT
ejpam-6490	354	1	(	(	PUNCT
ejpam-6490	354	2	36	36	NUM
ejpam-6490	354	3	)	)	PUNCT
ejpam-6490	354	4	family	family	NOUN
ejpam-6490	354	5	(	(	PUNCT
ejpam-6490	354	6	4	4	NUM
ejpam-6490	354	7	):	):	PUNCT
ejpam-6490	354	8	if	if	SCONJ
ejpam-6490	354	9	τ3	τ3	NOUN
ejpam-6490	354	10	=	=	SYM
ejpam-6490	354	11	τ4	τ4	PROPN
ejpam-6490	354	12	=	=	SYM
ejpam-6490	354	13	0	0	PROPN
ejpam-6490	354	14	,	,	PUNCT
ejpam-6490	354	15	the	the	DET
ejpam-6490	354	16	raised	raise	VERB
ejpam-6490	354	17	sets	set	NOUN
ejpam-6490	354	18	of	of	ADP
ejpam-6490	354	19	solutions	solution	NOUN
ejpam-6490	354	20	are	be	AUX
ejpam-6490	354	21	generated	generate	VERB
ejpam-6490	354	22	as	as	ADP
ejpam-6490	354	23	:	:	PUNCT
ejpam-6490	354	24	(	(	PUNCT
ejpam-6490	354	25	4.1	4.1	NUM
ejpam-6490	354	26	)	)	PUNCT
ejpam-6490	354	27	d1	d1	NOUN
ejpam-6490	354	28	=	=	SYM
ejpam-6490	354	29	d2	d2	PROPN
ejpam-6490	354	30	=	=	SYM
ejpam-6490	354	31	0	0	PROPN
ejpam-6490	354	32	,	,	PUNCT
ejpam-6490	354	33	d0	d0	NOUN
ejpam-6490	354	34	=	=	PUNCT
ejpam-6490	354	35	−α+γℵ−ω(cω+ϑ)+k(β+kµ)+τ2	−α+γℵ−ω(cω+ϑ)+k(β+kµ)+τ2	X
ejpam-6490	354	36	2ϱ	2ϱ	NUM
ejpam-6490	354	37	,	,	PUNCT
ejpam-6490	354	38	f1	f1	NOUN
ejpam-6490	354	39	=	=	NOUN
ejpam-6490	354	40	6	6	NUM
ejpam-6490	354	41	√	√	NUM
ejpam-6490	354	42	τ0τ2	τ0τ2	SYM
ejpam-6490	354	43	ϱ	ϱ	PROPN
ejpam-6490	354	44	,	,	PUNCT
ejpam-6490	354	45	f2	f2	PROPN
ejpam-6490	354	46	=	=	PUNCT
ejpam-6490	354	47	−	−	PROPN
ejpam-6490	354	48	6τ0	6τ0	NUM
ejpam-6490	354	49	ϱ	ϱ	NOUN
ejpam-6490	354	50	,	,	PUNCT
ejpam-6490	354	51	τ0	τ0	NOUN
ejpam-6490	354	52	=	=	SYM
ejpam-6490	354	53	τ2	τ2	NOUN
ejpam-6490	354	54	1	1	NUM
ejpam-6490	354	55	4τ2	4τ2	NUM
ejpam-6490	354	56	.	.	PUNCT
ejpam-6490	355	1	w.	w.	PROPN
ejpam-6490	355	2	w.	w.	PROPN
ejpam-6490	355	3	mohammed	mohammed	PROPN
ejpam-6490	355	4	et	et	PROPN
ejpam-6490	355	5	al	al	PROPN
ejpam-6490	355	6	.	.	PUNCT
ejpam-6490	355	7	/	/	SYM
ejpam-6490	355	8	eur	eur	PROPN
ejpam-6490	355	9	.	.	PUNCT
ejpam-6490	356	1	j.	j.	PROPN
ejpam-6490	356	2	pure	pure	PROPN
ejpam-6490	356	3	appl	appl	PROPN
ejpam-6490	356	4	.	.	PROPN
ejpam-6490	356	5	math	math	PROPN
ejpam-6490	356	6	,	,	PUNCT
ejpam-6490	356	7	18	18	NUM
ejpam-6490	356	8	(	(	PUNCT
ejpam-6490	356	9	3	3	NUM
ejpam-6490	356	10	)	)	PUNCT
ejpam-6490	356	11	(	(	PUNCT
ejpam-6490	356	12	2025	2025	NUM
ejpam-6490	356	13	)	)	PUNCT
ejpam-6490	356	14	,	,	PUNCT
ejpam-6490	356	15	6490	6490	NUM
ejpam-6490	356	16	12	12	NUM
ejpam-6490	356	17	of	of	ADP
ejpam-6490	356	18	23	23	NUM
ejpam-6490	356	19	(	(	PUNCT
ejpam-6490	356	20	4.2	4.2	NUM
ejpam-6490	356	21	)	)	PUNCT
ejpam-6490	357	1	d1	d1	NOUN
ejpam-6490	357	2	=	=	SYM
ejpam-6490	357	3	f1	f1	NOUN
ejpam-6490	357	4	=	=	PROPN
ejpam-6490	357	5	d2	d2	PROPN
ejpam-6490	357	6	=	=	SYM
ejpam-6490	357	7	τ1	τ1	PROPN
ejpam-6490	357	8	=	=	SYM
ejpam-6490	357	9	0	0	NUM
ejpam-6490	357	10	,	,	PUNCT
ejpam-6490	357	11	d0	d0	NOUN
ejpam-6490	357	12	=	=	SYM
ejpam-6490	358	1	−α+γℵ−ω(cω+ϑ)+k(β+kµ)+4τ2	−α+γℵ−ω(cω+ϑ)+k(β+kµ)+4τ2	NOUN
ejpam-6490	358	2	2ϱ	2ϱ	ADV
ejpam-6490	358	3	,	,	PUNCT
ejpam-6490	358	4	f2	f2	PROPN
ejpam-6490	358	5	=	=	PUNCT
ejpam-6490	358	6	−	−	PROPN
ejpam-6490	358	7	6τ0	6τ0	NUM
ejpam-6490	358	8	ϱ	ϱ	NOUN
ejpam-6490	358	9	.	.	PUNCT
ejpam-6490	359	1	using	use	VERB
ejpam-6490	359	2	the	the	DET
ejpam-6490	359	3	revealed	reveal	VERB
ejpam-6490	359	4	set	set	NOUN
ejpam-6490	359	5	of	of	ADP
ejpam-6490	359	6	solutions	solution	NOUN
ejpam-6490	359	7	(	(	PUNCT
ejpam-6490	359	8	4.1	4.1	NUM
ejpam-6490	359	9	)	)	PUNCT
ejpam-6490	359	10	,	,	PUNCT
ejpam-6490	359	11	eq	eq	NOUN
ejpam-6490	359	12	.	.	PUNCT
ejpam-6490	360	1	(	(	PUNCT
ejpam-6490	360	2	1	1	X
ejpam-6490	360	3	)	)	PUNCT
ejpam-6490	360	4	gives	give	VERB
ejpam-6490	360	5	its	its	PRON
ejpam-6490	360	6	exact	exact	ADJ
ejpam-6490	360	7	solution	solution	NOUN
ejpam-6490	360	8	that	that	PRON
ejpam-6490	360	9	can	can	AUX
ejpam-6490	360	10	be	be	AUX
ejpam-6490	360	11	expressed	express	VERB
ejpam-6490	360	12	as	as	ADP
ejpam-6490	360	13	:	:	PUNCT
ejpam-6490	360	14	(	(	PUNCT
ejpam-6490	360	15	4.1	4.1	NUM
ejpam-6490	360	16	)	)	PUNCT
ejpam-6490	360	17	if	if	SCONJ
ejpam-6490	360	18	τ0	τ0	NOUN
ejpam-6490	360	19	>	>	X
ejpam-6490	360	20	0	0	NUM
ejpam-6490	360	21	,	,	PUNCT
ejpam-6490	360	22	τ1	τ1	ADP
ejpam-6490	360	23	>	>	NOUN
ejpam-6490	360	24	0	0	NUM
ejpam-6490	360	25	,	,	PUNCT
ejpam-6490	360	26	τ2	τ2	NOUN
ejpam-6490	360	27	>	>	X
ejpam-6490	360	28	0	0	PUNCT
ejpam-6490	360	29	and	and	CCONJ
ejpam-6490	360	30	ϱ	ϱ	ADP
ejpam-6490	360	31	̸=	̸=	PROPN
ejpam-6490	360	32	0	0	NUM
ejpam-6490	360	33	,	,	PUNCT
ejpam-6490	360	34	the	the	DET
ejpam-6490	360	35	following	follow	VERB
ejpam-6490	360	36	exponential	exponential	ADJ
ejpam-6490	360	37	solution	solution	NOUN
ejpam-6490	360	38	is	be	AUX
ejpam-6490	360	39	produced	produce	VERB
ejpam-6490	360	40	such	such	ADJ
ejpam-6490	360	41	that	that	DET
ejpam-6490	360	42	τ1	τ1	NOUN
ejpam-6490	360	43	−	−	PROPN
ejpam-6490	360	44	2τ2e	2τ2e	NOUN
ejpam-6490	360	45	√	√	ADP
ejpam-6490	360	46	τ2(x+ky+ℵz−ωt	τ2(x+ky+ℵz−ωt	NOUN
ejpam-6490	360	47	)	)	PUNCT
ejpam-6490	360	48	̸=	̸=	PROPN
ejpam-6490	360	49	0	0	NUM
ejpam-6490	360	50	:	:	PUNCT
ejpam-6490	361	1	ϕ4.1	ϕ4.1	PROPN
ejpam-6490	361	2	=	=	PUNCT
ejpam-6490	361	3	−α+	−α+	INTJ
ejpam-6490	361	4	γℵ	γℵ	NOUN
ejpam-6490	361	5	−	−	PROPN
ejpam-6490	361	6	ω(cω+	ω(cω+	ADJ
ejpam-6490	361	7	ϑ	ϑ	NOUN
ejpam-6490	361	8	)	)	PUNCT
ejpam-6490	362	1	+	+	CCONJ
ejpam-6490	362	2	k(β	k(β	PROPN
ejpam-6490	362	3	+	+	CCONJ
ejpam-6490	362	4	kµ	kµ	PROPN
ejpam-6490	362	5	)	)	PUNCT
ejpam-6490	363	1	+	+	CCONJ
ejpam-6490	363	2	τ2	τ2	NOUN
ejpam-6490	363	3	2ϱ	2ϱ	NUM
ejpam-6490	363	4	−	−	PROPN
ejpam-6490	363	5	12τ1τ2	12τ1τ2	NOUN
ejpam-6490	363	6	ϱ	ϱ	ADP
ejpam-6490	363	7	[	[	PUNCT
ejpam-6490	363	8	τ1	τ1	NOUN
ejpam-6490	363	9	−	−	PROPN
ejpam-6490	363	10	τ2e	τ2e	PUNCT
ejpam-6490	363	11	(	(	PUNCT
ejpam-6490	363	12	x+ky+ℵz−ωt	x+ky+ℵz−ωt	X
ejpam-6490	363	13	)	)	PUNCT
ejpam-6490	363	14	√	√	ADP
ejpam-6490	363	15	τ2	τ2	PROPN
ejpam-6490	363	16	(	(	PUNCT
ejpam-6490	363	17	τ1	τ1	ADP
ejpam-6490	363	18	−	−	PROPN
ejpam-6490	363	19	2τ2e(x+ky+ℵz−ωt	2τ2e(x+ky+ℵz−ωt	NUM
ejpam-6490	363	20	)	)	PUNCT
ejpam-6490	363	21	√	√	ADP
ejpam-6490	363	22	τ2	τ2	NOUN
ejpam-6490	363	23	)	)	PUNCT
ejpam-6490	363	24	2	2	NUM
ejpam-6490	363	25	]	]	PUNCT
ejpam-6490	363	26	.	.	PUNCT
ejpam-6490	364	1	(	(	PUNCT
ejpam-6490	364	2	37	37	NUM
ejpam-6490	364	3	)	)	PUNCT
ejpam-6490	364	4	by	by	ADP
ejpam-6490	364	5	inserting	insert	VERB
ejpam-6490	364	6	the	the	DET
ejpam-6490	364	7	above	above	ADJ
ejpam-6490	364	8	set	set	NOUN
ejpam-6490	364	9	of	of	ADP
ejpam-6490	364	10	solutions	solution	NOUN
ejpam-6490	364	11	(	(	PUNCT
ejpam-6490	364	12	4.2	4.2	NUM
ejpam-6490	364	13	)	)	PUNCT
ejpam-6490	364	14	to	to	ADP
ejpam-6490	364	15	eq	eq	NOUN
ejpam-6490	364	16	.	.	PUNCT
ejpam-6490	365	1	(	(	PUNCT
ejpam-6490	365	2	1	1	NUM
ejpam-6490	365	3	)	)	PUNCT
ejpam-6490	365	4	,	,	PUNCT
ejpam-6490	365	5	the	the	DET
ejpam-6490	365	6	following	follow	VERB
ejpam-6490	365	7	solutions	solution	NOUN
ejpam-6490	365	8	are	be	AUX
ejpam-6490	365	9	obtained	obtain	VERB
ejpam-6490	365	10	:	:	PUNCT
ejpam-6490	365	11	(	(	PUNCT
ejpam-6490	365	12	4.2,1	4.2,1	NOUN
ejpam-6490	365	13	)	)	PUNCT
ejpam-6490	365	14	if	if	SCONJ
ejpam-6490	365	15	τ0	τ0	NOUN
ejpam-6490	365	16	>	>	X
ejpam-6490	365	17	0	0	NUM
ejpam-6490	365	18	,	,	PUNCT
ejpam-6490	365	19	τ2	τ2	NOUN
ejpam-6490	365	20	<	<	X
ejpam-6490	365	21	0	0	NUM
ejpam-6490	365	22	and	and	CCONJ
ejpam-6490	365	23	ϱ	ϱ	ADP
ejpam-6490	365	24	̸=	̸=	PROPN
ejpam-6490	365	25	0	0	NUM
ejpam-6490	365	26	,	,	PUNCT
ejpam-6490	365	27	a	a	DET
ejpam-6490	365	28	singular	singular	ADJ
ejpam-6490	365	29	periodic	periodic	ADJ
ejpam-6490	365	30	solution	solution	NOUN
ejpam-6490	365	31	is	be	AUX
ejpam-6490	365	32	produced	produce	VERB
ejpam-6490	365	33	in	in	ADP
ejpam-6490	365	34	the	the	DET
ejpam-6490	365	35	following	follow	VERB
ejpam-6490	365	36	form	form	NOUN
ejpam-6490	365	37	:	:	PUNCT
ejpam-6490	365	38	ϕ4.2,1	ϕ4.2,1	PRON
ejpam-6490	365	39	=	=	PUNCT
ejpam-6490	366	1	−α+	−α+	INTJ
ejpam-6490	366	2	γℵ	γℵ	NOUN
ejpam-6490	367	1	−	−	PROPN
ejpam-6490	367	2	ω(cω+	ω(cω+	ADJ
ejpam-6490	367	3	ϑ	ϑ	NOUN
ejpam-6490	367	4	)	)	PUNCT
ejpam-6490	367	5	+	+	CCONJ
ejpam-6490	367	6	k(β	k(β	PROPN
ejpam-6490	367	7	+	+	CCONJ
ejpam-6490	367	8	kµ	kµ	PROPN
ejpam-6490	367	9	)	)	PUNCT
ejpam-6490	368	1	+	+	CCONJ
ejpam-6490	369	1	4τ2	4τ2	NUM
ejpam-6490	369	2	2ϱ	2ϱ	NOUN
ejpam-6490	369	3	−	−	NOUN
ejpam-6490	370	1	6τ2	6τ2	NUM
ejpam-6490	370	2	ϱ	ϱ	ADP
ejpam-6490	370	3	csc2	csc2	NOUN
ejpam-6490	370	4	[	[	PUNCT
ejpam-6490	370	5	(	(	PUNCT
ejpam-6490	370	6	x+	x+	X
ejpam-6490	370	7	ky	ky	PROPN
ejpam-6490	370	8	+	+	CCONJ
ejpam-6490	370	9	ℵz	ℵz	PROPN
ejpam-6490	370	10	−	−	PROPN
ejpam-6490	370	11	ωt	ωt	NOUN
ejpam-6490	370	12	)	)	PUNCT
ejpam-6490	370	13	√	√	NOUN
ejpam-6490	371	1	−τ2	−τ2	PROPN
ejpam-6490	371	2	]	]	PUNCT
ejpam-6490	371	3	.	.	PUNCT
ejpam-6490	372	1	(	(	PUNCT
ejpam-6490	372	2	38	38	NUM
ejpam-6490	372	3	)	)	PUNCT
ejpam-6490	372	4	(	(	PUNCT
ejpam-6490	372	5	4.2,2	4.2,2	NUM
ejpam-6490	372	6	)	)	PUNCT
ejpam-6490	372	7	if	if	SCONJ
ejpam-6490	372	8	τ0	τ0	NOUN
ejpam-6490	372	9	>	>	X
ejpam-6490	372	10	0	0	NUM
ejpam-6490	372	11	,	,	PUNCT
ejpam-6490	372	12	τ2	τ2	NOUN
ejpam-6490	372	13	>	>	X
ejpam-6490	372	14	0	0	PUNCT
ejpam-6490	372	15	and	and	CCONJ
ejpam-6490	372	16	ϱ	ϱ	ADP
ejpam-6490	372	17	̸=	̸=	PROPN
ejpam-6490	372	18	0	0	NUM
ejpam-6490	372	19	,	,	PUNCT
ejpam-6490	372	20	a	a	DET
ejpam-6490	372	21	singular	singular	ADJ
ejpam-6490	372	22	soliton	soliton	NOUN
ejpam-6490	372	23	solution	solution	NOUN
ejpam-6490	372	24	is	be	AUX
ejpam-6490	372	25	produced	produce	VERB
ejpam-6490	372	26	in	in	ADP
ejpam-6490	372	27	the	the	DET
ejpam-6490	372	28	following	follow	VERB
ejpam-6490	372	29	form	form	NOUN
ejpam-6490	372	30	:	:	PUNCT
ejpam-6490	372	31	ϕ4.2,2	ϕ4.2,2	NUM
ejpam-6490	373	1	=	=	SYM
ejpam-6490	373	2	−α+	−α+	NOUN
ejpam-6490	373	3	γℵ	γℵ	NOUN
ejpam-6490	374	1	−	−	PROPN
ejpam-6490	374	2	ω(cω+	ω(cω+	ADJ
ejpam-6490	374	3	ϑ	ϑ	NOUN
ejpam-6490	374	4	)	)	PUNCT
ejpam-6490	374	5	+	+	CCONJ
ejpam-6490	374	6	k(β	k(β	PROPN
ejpam-6490	374	7	+	+	CCONJ
ejpam-6490	374	8	kµ	kµ	PROPN
ejpam-6490	374	9	)	)	PUNCT
ejpam-6490	375	1	+	+	CCONJ
ejpam-6490	376	1	4τ2	4τ2	NUM
ejpam-6490	376	2	2ϱ	2ϱ	NOUN
ejpam-6490	376	3	−	−	NOUN
ejpam-6490	377	1	6τ2	6τ2	NUM
ejpam-6490	377	2	ϱ	ϱ	ADP
ejpam-6490	377	3	csch2	csch2	NOUN
ejpam-6490	377	4	[	[	X
ejpam-6490	377	5	(	(	PUNCT
ejpam-6490	377	6	x+	x+	ADJ
ejpam-6490	377	7	ky	ky	PROPN
ejpam-6490	377	8	+	+	CCONJ
ejpam-6490	377	9	ℵz	ℵz	PROPN
ejpam-6490	377	10	−	−	PROPN
ejpam-6490	377	11	ωt	ωt	PROPN
ejpam-6490	377	12	)	)	PUNCT
ejpam-6490	377	13	√	√	ADP
ejpam-6490	377	14	τ2	τ2	PROPN
ejpam-6490	377	15	]	]	PUNCT
ejpam-6490	377	16	.	.	PUNCT
ejpam-6490	378	1	(	(	PUNCT
ejpam-6490	378	2	39	39	NUM
ejpam-6490	378	3	)	)	PUNCT
ejpam-6490	378	4	family	family	NOUN
ejpam-6490	378	5	(	(	PUNCT
ejpam-6490	378	6	5	5	NUM
ejpam-6490	378	7	):	):	PUNCT
ejpam-6490	378	8	if	if	SCONJ
ejpam-6490	378	9	τ0	τ0	NOUN
ejpam-6490	378	10	=	=	SYM
ejpam-6490	378	11	τ1	τ1	NOUN
ejpam-6490	378	12	=	=	SYM
ejpam-6490	378	13	d0	d0	NOUN
ejpam-6490	378	14	=	=	SYM
ejpam-6490	378	15	0	0	NUM
ejpam-6490	378	16	and	and	CCONJ
ejpam-6490	378	17	τ4	τ4	PROPN
ejpam-6490	378	18	>	>	X
ejpam-6490	378	19	0	0	PROPN
ejpam-6490	378	20	,	,	PUNCT
ejpam-6490	378	21	the	the	DET
ejpam-6490	378	22	sets	set	NOUN
ejpam-6490	378	23	of	of	ADP
ejpam-6490	378	24	the	the	DET
ejpam-6490	378	25	resulted	result	VERB
ejpam-6490	378	26	solutions	solution	NOUN
ejpam-6490	378	27	are	be	AUX
ejpam-6490	378	28	listed	list	VERB
ejpam-6490	378	29	below	below	ADP
ejpam-6490	378	30	(	(	PUNCT
ejpam-6490	378	31	5.1	5.1	NUM
ejpam-6490	378	32	)	)	PUNCT
ejpam-6490	378	33	d1	d1	NOUN
ejpam-6490	378	34	=	=	SYM
ejpam-6490	378	35	f1	f1	NOUN
ejpam-6490	378	36	=	=	SYM
ejpam-6490	378	37	f2	f2	PROPN
ejpam-6490	378	38	=	=	SYM
ejpam-6490	378	39	τ3	τ3	NOUN
ejpam-6490	378	40	=	=	SYM
ejpam-6490	378	41	0	0	NUM
ejpam-6490	378	42	,	,	PUNCT
ejpam-6490	378	43	d2	d2	PROPN
ejpam-6490	378	44	=	=	SYM
ejpam-6490	378	45	−	−	PROPN
ejpam-6490	378	46	6τ4	6τ4	NUM
ejpam-6490	378	47	ϱ	ϱ	ADP
ejpam-6490	378	48	,	,	PUNCT
ejpam-6490	378	49	ϑ	ϑ	X
ejpam-6490	378	50	=	=	SYM
ejpam-6490	378	51	α+γℵ+k(β+kµ)+cω2	α+γℵ+k(β+kµ)+cω2	NUM
ejpam-6490	378	52	+	+	SYM
ejpam-6490	378	53	4τ2	4τ2	NUM
ejpam-6490	378	54	ω	ω	NOUN
ejpam-6490	378	55	.	.	PUNCT
ejpam-6490	379	1	(	(	PUNCT
ejpam-6490	379	2	5.2	5.2	NUM
ejpam-6490	379	3	)	)	PUNCT
ejpam-6490	379	4	f1	f1	NOUN
ejpam-6490	379	5	=	=	SYM
ejpam-6490	379	6	f2	f2	PROPN
ejpam-6490	379	7	=	=	SYM
ejpam-6490	379	8	0	0	NUM
ejpam-6490	379	9	,	,	PUNCT
ejpam-6490	379	10	d1	d1	NOUN
ejpam-6490	379	11	=	=	PROPN
ejpam-6490	379	12	6	6	NUM
ejpam-6490	379	13	√	√	NUM
ejpam-6490	379	14	τ2τ4	τ2τ4	SYM
ejpam-6490	379	15	ϱ	ϱ	X
ejpam-6490	379	16	,	,	PUNCT
ejpam-6490	379	17	d2	d2	PROPN
ejpam-6490	379	18	=	=	SYM
ejpam-6490	380	1	−	−	PROPN
ejpam-6490	380	2	6τ4	6τ4	NUM
ejpam-6490	380	3	ϱ	ϱ	ADP
ejpam-6490	380	4	,	,	PUNCT
ejpam-6490	380	5	τ2	τ2	NOUN
ejpam-6490	380	6	=	=	SYM
ejpam-6490	380	7	τ2	τ2	NOUN
ejpam-6490	380	8	3	3	NUM
ejpam-6490	380	9	4τ4	4τ4	NUM
ejpam-6490	380	10	,	,	PUNCT
ejpam-6490	380	11	ϑ	ϑ	X
ejpam-6490	380	12	=	=	X
ejpam-6490	380	13	α+γℵ+k(β+kµ)+cω2+τ2	α+γℵ+k(β+kµ)+cω2+τ2	NUM
ejpam-6490	380	14	ω	ω	NUM
ejpam-6490	380	15	.	.	PUNCT
ejpam-6490	381	1	applying	apply	VERB
ejpam-6490	381	2	the	the	DET
ejpam-6490	381	3	set	set	NOUN
ejpam-6490	381	4	(	(	PUNCT
ejpam-6490	381	5	5.1	5.1	NUM
ejpam-6490	381	6	)	)	PUNCT
ejpam-6490	381	7	of	of	ADP
ejpam-6490	381	8	solutions	solution	NOUN
ejpam-6490	381	9	,	,	PUNCT
ejpam-6490	381	10	some	some	DET
ejpam-6490	381	11	analytical	analytical	ADJ
ejpam-6490	381	12	solutions	solution	NOUN
ejpam-6490	381	13	for	for	ADP
ejpam-6490	381	14	eq	eq	PROPN
ejpam-6490	381	15	.	.	PUNCT
ejpam-6490	382	1	(	(	PUNCT
ejpam-6490	382	2	1	1	X
ejpam-6490	382	3	)	)	PUNCT
ejpam-6490	382	4	are	be	AUX
ejpam-6490	382	5	obtained	obtain	VERB
ejpam-6490	382	6	as	as	SCONJ
ejpam-6490	382	7	follows	follow	VERB
ejpam-6490	382	8	:	:	PUNCT
ejpam-6490	382	9	(	(	PUNCT
ejpam-6490	382	10	5.1,1	5.1,1	NOUN
ejpam-6490	382	11	)	)	PUNCT
ejpam-6490	382	12	if	if	SCONJ
ejpam-6490	382	13	τ2	τ2	NOUN
ejpam-6490	382	14	<	<	X
ejpam-6490	382	15	0	0	NUM
ejpam-6490	382	16	and	and	CCONJ
ejpam-6490	382	17	ϱ	ϱ	ADP
ejpam-6490	382	18	̸=	̸=	PROPN
ejpam-6490	382	19	0	0	NUM
ejpam-6490	382	20	,	,	PUNCT
ejpam-6490	382	21	the	the	DET
ejpam-6490	382	22	below	below	ADP
ejpam-6490	382	23	singular	singular	ADJ
ejpam-6490	382	24	periodic	periodic	ADJ
ejpam-6490	382	25	solution	solution	NOUN
ejpam-6490	382	26	is	be	AUX
ejpam-6490	382	27	raised	raise	VERB
ejpam-6490	382	28	:	:	PUNCT
ejpam-6490	382	29	ϕ5.1,1	ϕ5.1,1	INTJ
ejpam-6490	382	30	=	=	NOUN
ejpam-6490	383	1	6τ2	6τ2	NUM
ejpam-6490	383	2	ϱ	ϱ	ADP
ejpam-6490	383	3	csc2	csc2	NOUN
ejpam-6490	383	4	[	[	PUNCT
ejpam-6490	383	5	(	(	PUNCT
ejpam-6490	383	6	x+	x+	X
ejpam-6490	383	7	ky	ky	PROPN
ejpam-6490	383	8	+	+	CCONJ
ejpam-6490	383	9	ℵz	ℵz	PROPN
ejpam-6490	383	10	−	−	PROPN
ejpam-6490	383	11	ωt	ωt	NOUN
ejpam-6490	383	12	)	)	PUNCT
ejpam-6490	383	13	√	√	NOUN
ejpam-6490	383	14	−τ2	−τ2	PROPN
ejpam-6490	383	15	]	]	PUNCT
ejpam-6490	383	16	.	.	PUNCT
ejpam-6490	384	1	(	(	PUNCT
ejpam-6490	384	2	40	40	NUM
ejpam-6490	384	3	)	)	PUNCT
ejpam-6490	384	4	(	(	PUNCT
ejpam-6490	384	5	5.1,2	5.1,2	NUM
ejpam-6490	384	6	)	)	PUNCT
ejpam-6490	384	7	if	if	SCONJ
ejpam-6490	384	8	τ2	τ2	VERB
ejpam-6490	384	9	>	>	X
ejpam-6490	384	10	0	0	NUM
ejpam-6490	384	11	,	,	PUNCT
ejpam-6490	384	12	τ4	τ4	PROPN
ejpam-6490	384	13	>	>	X
ejpam-6490	384	14	0	0	PROPN
ejpam-6490	384	15	,	,	PUNCT
ejpam-6490	384	16	τ3	τ3	NOUN
ejpam-6490	384	17	̸=	̸=	PROPN
ejpam-6490	384	18	2ε	2ε	NOUN
ejpam-6490	384	19	√	√	NUM
ejpam-6490	384	20	τ2τ4	τ2τ4	PUNCT
ejpam-6490	384	21	where	where	SCONJ
ejpam-6490	384	22	ε	ε	PROPN
ejpam-6490	384	23	=	=	SYM
ejpam-6490	384	24	±1	±1	VERB
ejpam-6490	384	25	and	and	CCONJ
ejpam-6490	384	26	ϱ	ϱ	ADP
ejpam-6490	384	27	̸=	̸=	PROPN
ejpam-6490	384	28	0	0	NUM
ejpam-6490	384	29	,	,	PUNCT
ejpam-6490	384	30	a	a	DET
ejpam-6490	384	31	singular	singular	ADJ
ejpam-6490	384	32	soliton	soliton	NOUN
ejpam-6490	384	33	type	type	NOUN
ejpam-6490	384	34	of	of	ADP
ejpam-6490	384	35	solution	solution	NOUN
ejpam-6490	384	36	is	be	AUX
ejpam-6490	384	37	obtained	obtain	VERB
ejpam-6490	384	38	as	as	SCONJ
ejpam-6490	384	39	follows	follow	VERB
ejpam-6490	384	40	:	:	PUNCT
ejpam-6490	384	41	ϕ5.1,2	ϕ5.1,2	ADP
ejpam-6490	384	42	=	=	SYM
ejpam-6490	384	43	−6τ2	−6τ2	PUNCT
ejpam-6490	384	44	ϱ	ϱ	ADP
ejpam-6490	384	45	csch2	csch2	NOUN
ejpam-6490	384	46	[	[	X
ejpam-6490	384	47	(	(	PUNCT
ejpam-6490	384	48	x+	x+	ADJ
ejpam-6490	384	49	ky	ky	PROPN
ejpam-6490	384	50	+	+	CCONJ
ejpam-6490	384	51	ℵz	ℵz	PROPN
ejpam-6490	384	52	−	−	PROPN
ejpam-6490	384	53	ωt	ωt	PROPN
ejpam-6490	384	54	)	)	PUNCT
ejpam-6490	384	55	√	√	ADP
ejpam-6490	384	56	τ2	τ2	PROPN
ejpam-6490	384	57	]	]	PUNCT
ejpam-6490	384	58	.	.	PUNCT
ejpam-6490	385	1	(	(	PUNCT
ejpam-6490	385	2	41	41	NUM
ejpam-6490	385	3	)	)	PUNCT
ejpam-6490	385	4	by	by	ADP
ejpam-6490	385	5	inserting	insert	VERB
ejpam-6490	385	6	the	the	DET
ejpam-6490	385	7	set	set	NOUN
ejpam-6490	385	8	of	of	ADP
ejpam-6490	385	9	solutions	solution	NOUN
ejpam-6490	385	10	(	(	PUNCT
ejpam-6490	385	11	5.2	5.2	NUM
ejpam-6490	385	12	)	)	PUNCT
ejpam-6490	385	13	in	in	ADP
ejpam-6490	385	14	eq	eq	ADP
ejpam-6490	385	15	.	.	PUNCT
ejpam-6490	386	1	(	(	PUNCT
ejpam-6490	386	2	1	1	NUM
ejpam-6490	386	3	,	,	PUNCT
ejpam-6490	386	4	the	the	DET
ejpam-6490	386	5	following	follow	VERB
ejpam-6490	386	6	solution	solution	NOUN
ejpam-6490	386	7	can	can	AUX
ejpam-6490	386	8	be	be	AUX
ejpam-6490	386	9	obtained	obtain	VERB
ejpam-6490	386	10	:	:	PUNCT
ejpam-6490	386	11	(	(	PUNCT
ejpam-6490	386	12	5.2	5.2	NUM
ejpam-6490	386	13	)	)	PUNCT
ejpam-6490	386	14	if	if	SCONJ
ejpam-6490	386	15	τ2	τ2	VERB
ejpam-6490	386	16	>	>	X
ejpam-6490	386	17	0	0	NUM
ejpam-6490	386	18	,	,	PUNCT
ejpam-6490	386	19	τ4	τ4	PROPN
ejpam-6490	386	20	>	>	X
ejpam-6490	386	21	0	0	PROPN
ejpam-6490	386	22	,	,	PUNCT
ejpam-6490	386	23	τ3	τ3	NOUN
ejpam-6490	386	24	=	=	SYM
ejpam-6490	386	25	−2	−2	NOUN
ejpam-6490	387	1	√	√	NUM
ejpam-6490	387	2	τ2τ4	τ2τ4	PUNCT
ejpam-6490	387	3	and	and	CCONJ
ejpam-6490	387	4	ϱ	ϱ	ADP
ejpam-6490	387	5	̸=	̸=	PROPN
ejpam-6490	387	6	0	0	NUM
ejpam-6490	387	7	,	,	PUNCT
ejpam-6490	387	8	the	the	DET
ejpam-6490	387	9	following	follow	VERB
ejpam-6490	387	10	bright	bright	ADJ
ejpam-6490	387	11	soliton	soliton	NOUN
ejpam-6490	387	12	solution	solution	NOUN
ejpam-6490	387	13	:	:	PUNCT
ejpam-6490	388	1	ϕ5.2	ϕ5.2	PROPN
ejpam-6490	388	2	=	=	SYM
ejpam-6490	388	3	3τ2	3τ2	NUM
ejpam-6490	388	4	2ϱ	2ϱ	NUM
ejpam-6490	388	5	sech2	sech2	NOUN
ejpam-6490	389	1	[	[	PUNCT
ejpam-6490	389	2	(	(	PUNCT
ejpam-6490	389	3	x+	x+	X
ejpam-6490	389	4	ky	ky	PROPN
ejpam-6490	389	5	+	+	CCONJ
ejpam-6490	389	6	ℵz	ℵz	PROPN
ejpam-6490	389	7	−	−	PROPN
ejpam-6490	389	8	ωt	ωt	PROPN
ejpam-6490	389	9	)	)	PUNCT
ejpam-6490	389	10	√	√	NOUN
ejpam-6490	389	11	τ2	τ2	NOUN
ejpam-6490	389	12	4	4	NUM
ejpam-6490	389	13	]	]	PUNCT
ejpam-6490	389	14	.	.	PUNCT
ejpam-6490	390	1	(	(	PUNCT
ejpam-6490	390	2	42	42	X
ejpam-6490	390	3	)	)	PUNCT
ejpam-6490	390	4	w.	w.	PROPN
ejpam-6490	390	5	w.	w.	PROPN
ejpam-6490	390	6	mohammed	mohammed	PROPN
ejpam-6490	390	7	et	et	PROPN
ejpam-6490	390	8	al	al	PROPN
ejpam-6490	390	9	.	.	PUNCT
ejpam-6490	390	10	/	/	SYM
ejpam-6490	390	11	eur	eur	PROPN
ejpam-6490	390	12	.	.	PUNCT
ejpam-6490	391	1	j.	j.	PROPN
ejpam-6490	391	2	pure	pure	PROPN
ejpam-6490	391	3	appl	appl	PROPN
ejpam-6490	391	4	.	.	PROPN
ejpam-6490	391	5	math	math	PROPN
ejpam-6490	391	6	,	,	PUNCT
ejpam-6490	391	7	18	18	NUM
ejpam-6490	391	8	(	(	PUNCT
ejpam-6490	391	9	3	3	NUM
ejpam-6490	391	10	)	)	PUNCT
ejpam-6490	391	11	(	(	PUNCT
ejpam-6490	391	12	2025	2025	NUM
ejpam-6490	391	13	)	)	PUNCT
ejpam-6490	391	14	,	,	PUNCT
ejpam-6490	391	15	6490	6490	NUM
ejpam-6490	391	16	13	13	NUM
ejpam-6490	391	17	of	of	ADP
ejpam-6490	391	18	23	23	NUM
ejpam-6490	391	19	4	4	NUM
ejpam-6490	391	20	.	.	PUNCT
ejpam-6490	391	21	results	result	NOUN
ejpam-6490	391	22	and	and	CCONJ
ejpam-6490	391	23	discussion	discussion	NOUN
ejpam-6490	391	24	by	by	ADP
ejpam-6490	391	25	changing	change	VERB
ejpam-6490	391	26	the	the	DET
ejpam-6490	391	27	parameters	parameter	NOUN
ejpam-6490	391	28	in	in	ADP
ejpam-6490	391	29	the	the	DET
ejpam-6490	391	30	model	model	NOUN
ejpam-6490	391	31	under	under	ADP
ejpam-6490	391	32	investigation	investigation	NOUN
ejpam-6490	391	33	,	,	PUNCT
ejpam-6490	391	34	several	several	ADJ
ejpam-6490	391	35	sets	set	NOUN
ejpam-6490	391	36	of	of	ADP
ejpam-6490	391	37	values	value	NOUN
ejpam-6490	391	38	that	that	PRON
ejpam-6490	391	39	had	have	AUX
ejpam-6490	391	40	been	be	AUX
ejpam-6490	391	41	documented	document	VERB
ejpam-6490	391	42	or	or	CCONJ
ejpam-6490	391	43	reached	reach	VERB
ejpam-6490	391	44	for	for	ADP
ejpam-6490	391	45	eq	eq	PROPN
ejpam-6490	391	46	.	.	PUNCT
ejpam-6490	392	1	(	(	PUNCT
ejpam-6490	392	2	1	1	X
ejpam-6490	392	3	)	)	PUNCT
ejpam-6490	392	4	were	be	AUX
ejpam-6490	392	5	found	find	VERB
ejpam-6490	392	6	.	.	PUNCT
ejpam-6490	393	1	this	this	DET
ejpam-6490	393	2	section	section	NOUN
ejpam-6490	393	3	includes	include	VERB
ejpam-6490	393	4	a	a	DET
ejpam-6490	393	5	variety	variety	NOUN
ejpam-6490	393	6	of	of	ADP
ejpam-6490	393	7	graph	graph	NOUN
ejpam-6490	393	8	forms	form	NOUN
ejpam-6490	393	9	,	,	PUNCT
ejpam-6490	393	10	such	such	ADJ
ejpam-6490	393	11	as	as	ADP
ejpam-6490	393	12	contour	contour	NOUN
ejpam-6490	393	13	plots	plot	NOUN
ejpam-6490	393	14	,	,	PUNCT
ejpam-6490	393	15	3	3	NUM
ejpam-6490	393	16	-	-	SYM
ejpam-6490	393	17	d	d	NOUN
ejpam-6490	393	18	,	,	PUNCT
ejpam-6490	393	19	and	and	CCONJ
ejpam-6490	393	20	2	2	NUM
ejpam-6490	393	21	-	-	PUNCT
ejpam-6490	393	22	d	d	NOUN
ejpam-6490	393	23	plots	plot	NOUN
ejpam-6490	393	24	of	of	ADP
ejpam-6490	393	25	several	several	ADJ
ejpam-6490	393	26	individual	individual	ADJ
ejpam-6490	393	27	solutions	solution	NOUN
ejpam-6490	393	28	,	,	PUNCT
ejpam-6490	393	29	to	to	PART
ejpam-6490	393	30	help	help	VERB
ejpam-6490	393	31	illuminate	illuminate	VERB
ejpam-6490	393	32	the	the	DET
ejpam-6490	393	33	mathematical	mathematical	ADJ
ejpam-6490	393	34	and	and	CCONJ
ejpam-6490	393	35	physical	physical	ADJ
ejpam-6490	393	36	characteristics	characteristic	NOUN
ejpam-6490	393	37	of	of	ADP
ejpam-6490	393	38	the	the	DET
ejpam-6490	393	39	retrieved	retrieve	VERB
ejpam-6490	393	40	solutions	solution	NOUN
ejpam-6490	393	41	.	.	PUNCT
ejpam-6490	394	1	figure	figure	NOUN
ejpam-6490	394	2	(	(	PUNCT
ejpam-6490	394	3	2	2	NUM
ejpam-6490	394	4	)	)	PUNCT
ejpam-6490	394	5	shows	show	VERB
ejpam-6490	394	6	the	the	DET
ejpam-6490	394	7	dark	dark	ADJ
ejpam-6490	394	8	soliton	soliton	NOUN
ejpam-6490	394	9	solution	solution	NOUN
ejpam-6490	394	10	representation	representation	NOUN
ejpam-6490	394	11	of	of	ADP
ejpam-6490	394	12	eq	eq	PROPN
ejpam-6490	394	13	.	.	PUNCT
ejpam-6490	395	1	(	(	PUNCT
ejpam-6490	395	2	12	12	NUM
ejpam-6490	395	3	)	)	PUNCT
ejpam-6490	395	4	,	,	PUNCT
ejpam-6490	395	5	when	when	SCONJ
ejpam-6490	395	6	selecting	select	VERB
ejpam-6490	395	7	τ2	τ2	NOUN
ejpam-6490	395	8	=	=	SYM
ejpam-6490	395	9	−0.8	−0.8	PROPN
ejpam-6490	395	10	,	,	PUNCT
ejpam-6490	395	11	k	k	PROPN
ejpam-6490	395	12	=	=	SYM
ejpam-6490	395	13	0.7	0.7	NUM
ejpam-6490	395	14	,	,	PUNCT
ejpam-6490	395	15	ℵ	ℵ	NOUN
ejpam-6490	395	16	=	=	SYM
ejpam-6490	395	17	0.6	0.6	NUM
ejpam-6490	395	18	,	,	PUNCT
ejpam-6490	395	19	ω	ω	X
ejpam-6490	395	20	=	=	SYM
ejpam-6490	396	1	−0.45	−0.45	NOUN
ejpam-6490	396	2	,	,	PUNCT
ejpam-6490	396	3	α	α	NOUN
ejpam-6490	396	4	=	=	SYM
ejpam-6490	396	5	0.9	0.9	NUM
ejpam-6490	396	6	,	,	PUNCT
ejpam-6490	396	7	β	β	X
ejpam-6490	396	8	=	=	SYM
ejpam-6490	396	9	1.9	1.9	NUM
ejpam-6490	396	10	,	,	PUNCT
ejpam-6490	396	11	µ	µ	X
ejpam-6490	396	12	=	=	SYM
ejpam-6490	396	13	0.9	0.9	NUM
ejpam-6490	396	14	,	,	PUNCT
ejpam-6490	396	15	ϑ	ϑ	X
ejpam-6490	396	16	=	=	SYM
ejpam-6490	396	17	0.6	0.6	NUM
ejpam-6490	396	18	,	,	PUNCT
ejpam-6490	396	19	c	c	NOUN
ejpam-6490	396	20	=	=	SYM
ejpam-6490	396	21	0.5	0.5	NUM
ejpam-6490	396	22	,	,	PUNCT
ejpam-6490	396	23	γ	γ	NOUN
ejpam-6490	396	24	=	=	SYM
ejpam-6490	396	25	0.5	0.5	NUM
ejpam-6490	396	26	,	,	PUNCT
ejpam-6490	396	27	ϱ	ϱ	X
ejpam-6490	396	28	=	=	SYM
ejpam-6490	396	29	−0.5	−0.5	PROPN
ejpam-6490	396	30	,	,	PUNCT
ejpam-6490	396	31	y	y	PROPN
ejpam-6490	396	32	=	=	PUNCT
ejpam-6490	396	33	z	z	NOUN
ejpam-6490	396	34	=	=	SYM
ejpam-6490	396	35	0	0	NUM
ejpam-6490	396	36	,	,	PUNCT
ejpam-6490	396	37	0	0	NUM
ejpam-6490	396	38	≤	≤	NUM
ejpam-6490	396	39	t	t	NOUN
ejpam-6490	396	40	≤	≤	NUM
ejpam-6490	396	41	5	5	NUM
ejpam-6490	396	42	and	and	CCONJ
ejpam-6490	396	43	−30	−30	NOUN
ejpam-6490	396	44	≤	≤	NUM
ejpam-6490	396	45	x	x	SYM
ejpam-6490	396	46	≤	≤	NUM
ejpam-6490	396	47	30	30	NUM
ejpam-6490	396	48	.	.	PUNCT
ejpam-6490	397	1	localized	localize	VERB
ejpam-6490	397	2	areas	area	NOUN
ejpam-6490	397	3	of	of	ADP
ejpam-6490	397	4	reduced	reduce	VERB
ejpam-6490	397	5	amplitudes	amplitude	NOUN
ejpam-6490	397	6	within	within	ADP
ejpam-6490	397	7	a	a	DET
ejpam-6490	397	8	surrounding	surround	VERB
ejpam-6490	397	9	medium	medium	NOUN
ejpam-6490	397	10	are	be	AUX
ejpam-6490	397	11	known	know	VERB
ejpam-6490	397	12	as	as	ADP
ejpam-6490	397	13	dark	dark	ADJ
ejpam-6490	397	14	solitons	soliton	NOUN
ejpam-6490	397	15	[	[	X
ejpam-6490	397	16	30	30	NUM
ejpam-6490	397	17	]	]	PUNCT
ejpam-6490	397	18	.	.	PUNCT
ejpam-6490	398	1	in	in	ADP
ejpam-6490	398	2	fluid	fluid	ADJ
ejpam-6490	398	3	dynamics	dynamic	NOUN
ejpam-6490	398	4	,	,	PUNCT
ejpam-6490	398	5	they	they	PRON
ejpam-6490	398	6	could	could	AUX
ejpam-6490	398	7	be	be	AUX
ejpam-6490	398	8	connected	connect	VERB
ejpam-6490	398	9	to	to	ADP
ejpam-6490	398	10	regions	region	NOUN
ejpam-6490	398	11	of	of	ADP
ejpam-6490	398	12	decreased	decrease	VERB
ejpam-6490	398	13	fluid	fluid	ADJ
ejpam-6490	398	14	density	density	NOUN
ejpam-6490	398	15	or	or	CCONJ
ejpam-6490	398	16	pressure	pressure	NOUN
ejpam-6490	398	17	[	[	X
ejpam-6490	398	18	31	31	NUM
ejpam-6490	398	19	]	]	PUNCT
ejpam-6490	398	20	.	.	PUNCT
ejpam-6490	399	1	the	the	DET
ejpam-6490	399	2	dark	dark	ADJ
ejpam-6490	399	3	soliton	soliton	NOUN
ejpam-6490	399	4	solutions	solution	NOUN
ejpam-6490	399	5	,	,	PUNCT
ejpam-6490	399	6	which	which	PRON
ejpam-6490	399	7	usually	usually	ADV
ejpam-6490	399	8	appear	appear	VERB
ejpam-6490	399	9	in	in	ADP
ejpam-6490	399	10	defocusing	defocuse	VERB
ejpam-6490	399	11	nonlinear	nonlinear	ADJ
ejpam-6490	399	12	media	medium	NOUN
ejpam-6490	399	13	,	,	PUNCT
ejpam-6490	399	14	are	be	AUX
ejpam-6490	399	15	localized	localized	ADJ
ejpam-6490	399	16	intensity	intensity	NOUN
ejpam-6490	399	17	dips	dip	NOUN
ejpam-6490	399	18	contained	contain	VERB
ejpam-6490	399	19	in	in	ADP
ejpam-6490	399	20	a	a	DET
ejpam-6490	399	21	continuous	continuous	ADJ
ejpam-6490	399	22	wave	wave	NOUN
ejpam-6490	399	23	backdrop	backdrop	NOUN
ejpam-6490	399	24	.	.	PUNCT
ejpam-6490	400	1	they	they	PRON
ejpam-6490	400	2	are	be	AUX
ejpam-6490	400	3	important	important	ADJ
ejpam-6490	400	4	in	in	ADP
ejpam-6490	400	5	the	the	DET
ejpam-6490	400	6	context	context	NOUN
ejpam-6490	400	7	of	of	ADP
ejpam-6490	400	8	bose	bose	NOUN
ejpam-6490	400	9	-	-	PUNCT
ejpam-6490	400	10	einstein	einstein	NOUN
ejpam-6490	400	11	condensates	condensate	NOUN
ejpam-6490	400	12	and	and	CCONJ
ejpam-6490	400	13	optical	optical	ADJ
ejpam-6490	400	14	communications	communication	NOUN
ejpam-6490	400	15	,	,	PUNCT
ejpam-6490	400	16	and	and	CCONJ
ejpam-6490	400	17	they	they	PRON
ejpam-6490	400	18	simulate	simulate	VERB
ejpam-6490	400	19	phaseshifted	phaseshifte	VERB
ejpam-6490	400	20	energy	energy	NOUN
ejpam-6490	400	21	voids	voids	NOUN
ejpam-6490	400	22	.	.	PUNCT
ejpam-6490	401	1	by	by	ADP
ejpam-6490	401	2	settings	setting	NOUN
ejpam-6490	401	3	the	the	DET
ejpam-6490	401	4	values	value	NOUN
ejpam-6490	401	5	of	of	ADP
ejpam-6490	401	6	τ2	τ2	NOUN
ejpam-6490	401	7	=	=	SYM
ejpam-6490	401	8	−0.8	−0.8	PROPN
ejpam-6490	401	9	,	,	PUNCT
ejpam-6490	401	10	k	k	PROPN
ejpam-6490	401	11	=	=	SYM
ejpam-6490	401	12	0.7	0.7	NUM
ejpam-6490	401	13	,	,	PUNCT
ejpam-6490	401	14	ℵ	ℵ	NOUN
ejpam-6490	401	15	=	=	SYM
ejpam-6490	401	16	0.6	0.6	NUM
ejpam-6490	401	17	,	,	PUNCT
ejpam-6490	401	18	ω	ω	X
ejpam-6490	401	19	=	=	SYM
ejpam-6490	401	20	−0.45	−0.45	NOUN
ejpam-6490	401	21	,	,	PUNCT
ejpam-6490	401	22	ϱ	ϱ	X
ejpam-6490	401	23	=	=	SYM
ejpam-6490	401	24	3	3	NUM
ejpam-6490	401	25	,	,	PUNCT
ejpam-6490	401	26	y	y	NOUN
ejpam-6490	401	27	=	=	PUNCT
ejpam-6490	401	28	z	z	NOUN
ejpam-6490	401	29	=	=	SYM
ejpam-6490	401	30	0	0	NUM
ejpam-6490	401	31	,	,	PUNCT
ejpam-6490	401	32	0	0	NUM
ejpam-6490	401	33	≤	≤	NUM
ejpam-6490	401	34	t	t	NOUN
ejpam-6490	401	35	≤	≤	NUM
ejpam-6490	401	36	10	10	NUM
ejpam-6490	401	37	and	and	CCONJ
ejpam-6490	401	38	−15	−15	VERB
ejpam-6490	401	39	≤	≤	NUM
ejpam-6490	401	40	x	x	SYM
ejpam-6490	401	41	≤	≤	NUM
ejpam-6490	401	42	15	15	NUM
ejpam-6490	401	43	.	.	PUNCT
ejpam-6490	402	1	this	this	PRON
ejpam-6490	402	2	yields	yield	VERB
ejpam-6490	402	3	the	the	DET
ejpam-6490	402	4	singular	singular	ADJ
ejpam-6490	402	5	periodic	periodic	ADJ
ejpam-6490	402	6	solution	solution	NOUN
ejpam-6490	402	7	of	of	ADP
ejpam-6490	402	8	eq	eq	PROPN
ejpam-6490	402	9	.	.	PUNCT
ejpam-6490	403	1	(	(	PUNCT
ejpam-6490	403	2	40	40	NUM
ejpam-6490	403	3	)	)	PUNCT
ejpam-6490	403	4	as	as	SCONJ
ejpam-6490	403	5	shown	show	VERB
ejpam-6490	403	6	in	in	ADP
ejpam-6490	403	7	figure	figure	NOUN
ejpam-6490	403	8	(	(	PUNCT
ejpam-6490	403	9	3	3	NUM
ejpam-6490	403	10	)	)	PUNCT
ejpam-6490	403	11	.	.	PUNCT
ejpam-6490	404	1	in	in	ADP
ejpam-6490	404	2	the	the	DET
ejpam-6490	404	3	context	context	NOUN
ejpam-6490	404	4	of	of	ADP
ejpam-6490	404	5	physical	physical	ADJ
ejpam-6490	404	6	phenomena	phenomenon	NOUN
ejpam-6490	404	7	,	,	PUNCT
ejpam-6490	404	8	a	a	DET
ejpam-6490	404	9	system	system	NOUN
ejpam-6490	404	10	is	be	AUX
ejpam-6490	404	11	referred	refer	VERB
ejpam-6490	404	12	to	to	ADP
ejpam-6490	404	13	as	as	ADP
ejpam-6490	404	14	having	have	VERB
ejpam-6490	404	15	a	a	DET
ejpam-6490	404	16	unique	unique	ADJ
ejpam-6490	404	17	periodic	periodic	ADJ
ejpam-6490	404	18	solution	solution	NOUN
ejpam-6490	404	19	when	when	SCONJ
ejpam-6490	404	20	there	there	PRON
ejpam-6490	404	21	exist	exist	VERB
ejpam-6490	404	22	both	both	DET
ejpam-6490	404	23	periodic	periodic	ADJ
ejpam-6490	404	24	activity	activity	NOUN
ejpam-6490	404	25	and	and	CCONJ
ejpam-6490	404	26	sudden	sudden	ADJ
ejpam-6490	404	27	changes	change	NOUN
ejpam-6490	404	28	or	or	CCONJ
ejpam-6490	404	29	extreme	extreme	ADJ
ejpam-6490	404	30	occurrences	occurrence	NOUN
ejpam-6490	404	31	.	.	PUNCT
ejpam-6490	405	1	these	these	DET
ejpam-6490	405	2	discontinuities	discontinuity	NOUN
ejpam-6490	405	3	or	or	CCONJ
ejpam-6490	405	4	singularities	singularity	NOUN
ejpam-6490	405	5	might	might	AUX
ejpam-6490	405	6	be	be	AUX
ejpam-6490	405	7	brought	bring	VERB
ejpam-6490	405	8	on	on	ADP
ejpam-6490	405	9	by	by	ADP
ejpam-6490	405	10	external	external	ADJ
ejpam-6490	405	11	stimuli	stimulus	NOUN
ejpam-6490	405	12	,	,	PUNCT
ejpam-6490	405	13	boundary	boundary	ADJ
ejpam-6490	405	14	conditions	condition	NOUN
ejpam-6490	405	15	,	,	PUNCT
ejpam-6490	405	16	or	or	CCONJ
ejpam-6490	405	17	non	non	NOUN
ejpam-6490	405	18	-	-	NOUN
ejpam-6490	405	19	linearities	linearity	NOUN
ejpam-6490	405	20	.	.	PUNCT
ejpam-6490	406	1	figure	figure	NOUN
ejpam-6490	406	2	(	(	PUNCT
ejpam-6490	406	3	4	4	X
ejpam-6490	406	4	)	)	PUNCT
ejpam-6490	406	5	displays	display	VERB
ejpam-6490	406	6	the	the	DET
ejpam-6490	406	7	bright	bright	ADJ
ejpam-6490	406	8	soliton	soliton	NOUN
ejpam-6490	406	9	solution	solution	NOUN
ejpam-6490	406	10	of	of	ADP
ejpam-6490	406	11	eq	eq	PROPN
ejpam-6490	406	12	.	.	PUNCT
ejpam-6490	407	1	(	(	PUNCT
ejpam-6490	407	2	42	42	NUM
ejpam-6490	407	3	)	)	PUNCT
ejpam-6490	407	4	with	with	ADP
ejpam-6490	407	5	setting	set	VERB
ejpam-6490	407	6	the	the	DET
ejpam-6490	407	7	parameters	parameter	NOUN
ejpam-6490	407	8	to	to	PART
ejpam-6490	407	9	be	be	AUX
ejpam-6490	407	10	as	as	ADP
ejpam-6490	407	11	τ2	τ2	NOUN
ejpam-6490	407	12	=	=	SYM
ejpam-6490	407	13	0.8	0.8	NUM
ejpam-6490	407	14	,	,	PUNCT
ejpam-6490	407	15	k	k	PROPN
ejpam-6490	407	16	=	=	SYM
ejpam-6490	407	17	0.9	0.9	NUM
ejpam-6490	407	18	,	,	PUNCT
ejpam-6490	407	19	ℵ	ℵ	NOUN
ejpam-6490	407	20	=	=	SYM
ejpam-6490	407	21	0.8	0.8	NUM
ejpam-6490	407	22	,	,	PUNCT
ejpam-6490	407	23	ω	ω	NUM
ejpam-6490	407	24	=	=	SYM
ejpam-6490	407	25	−0.6	−0.6	PROPN
ejpam-6490	407	26	,	,	PUNCT
ejpam-6490	407	27	ϱ	ϱ	X
ejpam-6490	407	28	=	=	SYM
ejpam-6490	407	29	0.9	0.9	NUM
ejpam-6490	407	30	,	,	PUNCT
ejpam-6490	407	31	y	y	NOUN
ejpam-6490	407	32	=	=	PUNCT
ejpam-6490	407	33	z	z	NOUN
ejpam-6490	407	34	=	=	SYM
ejpam-6490	407	35	0	0	NUM
ejpam-6490	407	36	,	,	PUNCT
ejpam-6490	407	37	0	0	NUM
ejpam-6490	407	38	≤	≤	NUM
ejpam-6490	407	39	t	t	NOUN
ejpam-6490	407	40	≤	≤	NUM
ejpam-6490	407	41	5	5	NUM
ejpam-6490	407	42	and	and	CCONJ
ejpam-6490	407	43	−15	−15	VERB
ejpam-6490	407	44	≤	≤	NUM
ejpam-6490	407	45	x	x	SYM
ejpam-6490	407	46	≤	≤	NUM
ejpam-6490	407	47	15	15	NUM
ejpam-6490	407	48	.	.	PUNCT
ejpam-6490	408	1	the	the	DET
ejpam-6490	408	2	bright	bright	ADJ
ejpam-6490	408	3	soliton	soliton	NOUN
ejpam-6490	408	4	solution	solution	NOUN
ejpam-6490	408	5	has	have	VERB
ejpam-6490	408	6	a	a	DET
ejpam-6490	408	7	localized	localize	VERB
ejpam-6490	408	8	intensity	intensity	NOUN
ejpam-6490	408	9	peak	peak	NOUN
ejpam-6490	408	10	above	above	ADP
ejpam-6490	408	11	a	a	DET
ejpam-6490	408	12	continuous	continuous	ADJ
ejpam-6490	408	13	wave	wave	NOUN
ejpam-6490	408	14	background	background	NOUN
ejpam-6490	408	15	,	,	PUNCT
ejpam-6490	408	16	thus	thus	ADV
ejpam-6490	408	17	,	,	PUNCT
ejpam-6490	408	18	it	it	PRON
ejpam-6490	408	19	can	can	AUX
ejpam-6490	408	20	exist	exist	VERB
ejpam-6490	408	21	on	on	ADP
ejpam-6490	408	22	a	a	DET
ejpam-6490	408	23	finite	finite	ADJ
ejpam-6490	408	24	-	-	ADJ
ejpam-6490	408	25	depth	depth	ADJ
ejpam-6490	408	26	fluid	fluid	NOUN
ejpam-6490	408	27	in	in	ADP
ejpam-6490	408	28	the	the	DET
ejpam-6490	408	29	water	water	NOUN
ejpam-6490	408	30	depth	depth	NOUN
ejpam-6490	408	31	range	range	NOUN
ejpam-6490	408	32	where	where	SCONJ
ejpam-6490	408	33	the	the	DET
ejpam-6490	408	34	carrier	carrier	NOUN
ejpam-6490	408	35	waves	wave	NOUN
ejpam-6490	408	36	have	have	VERB
ejpam-6490	408	37	a	a	DET
ejpam-6490	408	38	stable	stable	ADJ
ejpam-6490	408	39	modulation.because	modulation.because	NOUN
ejpam-6490	408	40	of	of	ADP
ejpam-6490	408	41	a	a	DET
ejpam-6490	408	42	careful	careful	ADJ
ejpam-6490	408	43	balancing	balancing	NOUN
ejpam-6490	408	44	act	act	NOUN
ejpam-6490	408	45	between	between	ADP
ejpam-6490	408	46	dispersive	dispersive	ADJ
ejpam-6490	408	47	spreading	spreading	NOUN
ejpam-6490	408	48	and	and	CCONJ
ejpam-6490	408	49	nonlinear	nonlinear	ADJ
ejpam-6490	408	50	self	self	NOUN
ejpam-6490	408	51	-	-	PUNCT
ejpam-6490	408	52	focusing	focus	VERB
ejpam-6490	408	53	,	,	PUNCT
ejpam-6490	408	54	the	the	DET
ejpam-6490	408	55	resulting	result	VERB
ejpam-6490	408	56	dazzling	dazzling	ADJ
ejpam-6490	408	57	soliton	soliton	NOUN
ejpam-6490	408	58	solutions	solution	NOUN
ejpam-6490	408	59	correspond	correspond	VERB
ejpam-6490	408	60	to	to	ADP
ejpam-6490	408	61	localized	localized	ADJ
ejpam-6490	408	62	wave	wave	NOUN
ejpam-6490	408	63	packets	packet	NOUN
ejpam-6490	408	64	that	that	PRON
ejpam-6490	408	65	maintain	maintain	VERB
ejpam-6490	408	66	their	their	PRON
ejpam-6490	408	67	form	form	NOUN
ejpam-6490	408	68	.	.	PUNCT
ejpam-6490	409	1	these	these	DET
ejpam-6490	409	2	structures	structure	NOUN
ejpam-6490	409	3	are	be	AUX
ejpam-6490	409	4	essential	essential	ADJ
ejpam-6490	409	5	for	for	ADP
ejpam-6490	409	6	energy	energy	NOUN
ejpam-6490	409	7	localization	localization	NOUN
ejpam-6490	409	8	and	and	CCONJ
ejpam-6490	409	9	distortion	distortion	NOUN
ejpam-6490	409	10	-	-	PUNCT
ejpam-6490	409	11	free	free	ADJ
ejpam-6490	409	12	transmission	transmission	NOUN
ejpam-6490	409	13	and	and	CCONJ
ejpam-6490	409	14	are	be	AUX
ejpam-6490	409	15	typical	typical	ADJ
ejpam-6490	409	16	of	of	ADP
ejpam-6490	409	17	focusing	focus	VERB
ejpam-6490	409	18	nonlinear	nonlinear	ADJ
ejpam-6490	409	19	media	medium	NOUN
ejpam-6490	409	20	,	,	PUNCT
ejpam-6490	409	21	including	include	VERB
ejpam-6490	409	22	optical	optical	ADJ
ejpam-6490	409	23	fibers	fiber	NOUN
ejpam-6490	409	24	and	and	CCONJ
ejpam-6490	409	25	certain	certain	ADJ
ejpam-6490	409	26	plasma	plasma	NOUN
ejpam-6490	409	27	environments	environment	NOUN
ejpam-6490	409	28	.	.	PUNCT
ejpam-6490	410	1	figure	figure	NOUN
ejpam-6490	410	2	(	(	PUNCT
ejpam-6490	410	3	5	5	NUM
ejpam-6490	410	4	)	)	PUNCT
ejpam-6490	410	5	illustrates	illustrate	VERB
ejpam-6490	410	6	the	the	DET
ejpam-6490	410	7	singular	singular	ADJ
ejpam-6490	410	8	soliton	soliton	NOUN
ejpam-6490	410	9	solution	solution	NOUN
ejpam-6490	410	10	of	of	ADP
ejpam-6490	410	11	eq	eq	PROPN
ejpam-6490	410	12	.	.	PUNCT
ejpam-6490	411	1	(	(	PUNCT
ejpam-6490	411	2	41	41	NUM
ejpam-6490	411	3	)	)	PUNCT
ejpam-6490	411	4	with	with	ADP
ejpam-6490	411	5	parameters	parameter	NOUN
ejpam-6490	411	6	τ2	τ2	NOUN
ejpam-6490	411	7	=	=	NUM
ejpam-6490	411	8	0.8	0.8	NUM
ejpam-6490	411	9	,	,	PUNCT
ejpam-6490	411	10	k	k	PROPN
ejpam-6490	411	11	=	=	SYM
ejpam-6490	411	12	0.9	0.9	NUM
ejpam-6490	411	13	,	,	PUNCT
ejpam-6490	411	14	ℵ	ℵ	NOUN
ejpam-6490	411	15	=	=	SYM
ejpam-6490	411	16	0.8	0.8	NUM
ejpam-6490	411	17	,	,	PUNCT
ejpam-6490	411	18	ω	ω	NUM
ejpam-6490	411	19	=	=	SYM
ejpam-6490	411	20	−0.6	−0.6	PROPN
ejpam-6490	411	21	,	,	PUNCT
ejpam-6490	411	22	ϱ	ϱ	X
ejpam-6490	411	23	=	=	SYM
ejpam-6490	411	24	2.9	2.9	NUM
ejpam-6490	411	25	,	,	PUNCT
ejpam-6490	411	26	y	y	NOUN
ejpam-6490	411	27	=	=	PUNCT
ejpam-6490	411	28	z	z	NOUN
ejpam-6490	411	29	=	=	SYM
ejpam-6490	411	30	0	0	NUM
ejpam-6490	411	31	,	,	PUNCT
ejpam-6490	411	32	0	0	NUM
ejpam-6490	411	33	≤	≤	NUM
ejpam-6490	411	34	t	t	NOUN
ejpam-6490	411	35	≤	≤	NUM
ejpam-6490	411	36	5	5	NUM
ejpam-6490	411	37	and	and	CCONJ
ejpam-6490	411	38	−15	−15	VERB
ejpam-6490	411	39	≤	≤	NUM
ejpam-6490	411	40	x	x	SYM
ejpam-6490	411	41	≤	≤	NUM
ejpam-6490	411	42	15	15	NUM
ejpam-6490	411	43	.	.	PUNCT
ejpam-6490	412	1	the	the	DET
ejpam-6490	412	2	npde	npde	PROPN
ejpam-6490	412	3	solutions	solution	NOUN
ejpam-6490	412	4	that	that	PRON
ejpam-6490	412	5	exhibit	exhibit	VERB
ejpam-6490	412	6	singular	singular	ADJ
ejpam-6490	412	7	behavior	behavior	NOUN
ejpam-6490	412	8	are	be	AUX
ejpam-6490	412	9	known	know	VERB
ejpam-6490	412	10	as	as	ADP
ejpam-6490	412	11	singular	singular	ADJ
ejpam-6490	412	12	solitons	soliton	NOUN
ejpam-6490	412	13	,	,	PUNCT
ejpam-6490	412	14	which	which	PRON
ejpam-6490	412	15	are	be	AUX
ejpam-6490	412	16	mainly	mainly	ADV
ejpam-6490	412	17	characterized	characterize	VERB
ejpam-6490	412	18	by	by	ADP
ejpam-6490	412	19	a	a	DET
ejpam-6490	412	20	narrow	narrow	ADJ
ejpam-6490	412	21	region	region	NOUN
ejpam-6490	412	22	due	due	ADP
ejpam-6490	412	23	to	to	ADP
ejpam-6490	412	24	an	an	DET
ejpam-6490	412	25	infinity	infinity	NOUN
ejpam-6490	412	26	approach	approach	NOUN
ejpam-6490	412	27	peak	peak	NOUN
ejpam-6490	412	28	.	.	PUNCT
ejpam-6490	413	1	they	they	PRON
ejpam-6490	413	2	may	may	AUX
ejpam-6490	413	3	serve	serve	VERB
ejpam-6490	413	4	as	as	ADP
ejpam-6490	413	5	symbolic	symbolic	ADJ
ejpam-6490	413	6	representations	representation	NOUN
ejpam-6490	413	7	of	of	ADP
ejpam-6490	413	8	local	local	ADJ
ejpam-6490	413	9	events	event	NOUN
ejpam-6490	413	10	.	.	PUNCT
ejpam-6490	414	1	because	because	SCONJ
ejpam-6490	414	2	they	they	PRON
ejpam-6490	414	3	are	be	AUX
ejpam-6490	414	4	so	so	ADV
ejpam-6490	414	5	severe	severe	ADJ
ejpam-6490	414	6	,	,	PUNCT
ejpam-6490	414	7	they	they	PRON
ejpam-6490	414	8	are	be	AUX
ejpam-6490	414	9	less	less	ADV
ejpam-6490	414	10	prevalent	prevalent	ADJ
ejpam-6490	414	11	in	in	ADP
ejpam-6490	414	12	physical	physical	ADJ
ejpam-6490	414	13	systems	system	NOUN
ejpam-6490	414	14	.	.	PUNCT
ejpam-6490	415	1	a	a	DET
ejpam-6490	415	2	divergence	divergence	NOUN
ejpam-6490	415	3	in	in	ADP
ejpam-6490	415	4	wave	wave	NOUN
ejpam-6490	415	5	amplitude	amplitude	NOUN
ejpam-6490	415	6	is	be	AUX
ejpam-6490	415	7	shown	show	VERB
ejpam-6490	415	8	by	by	ADP
ejpam-6490	415	9	the	the	DET
ejpam-6490	415	10	singular	singular	PROPN
ejpam-6490	415	11	soliton	soliton	NOUN
ejpam-6490	415	12	solutions	solution	NOUN
ejpam-6490	415	13	’	'	PUNCT
ejpam-6490	415	14	unique	unique	ADJ
ejpam-6490	415	15	behavior	behavior	NOUN
ejpam-6490	415	16	at	at	ADP
ejpam-6490	415	17	particular	particular	ADJ
ejpam-6490	415	18	times	time	NOUN
ejpam-6490	415	19	or	or	CCONJ
ejpam-6490	415	20	locations	location	NOUN
ejpam-6490	415	21	in	in	ADP
ejpam-6490	415	22	space	space	NOUN
ejpam-6490	415	23	.	.	PUNCT
ejpam-6490	416	1	these	these	DET
ejpam-6490	416	2	solutions	solution	NOUN
ejpam-6490	416	3	frequently	frequently	ADV
ejpam-6490	416	4	simulate	simulate	VERB
ejpam-6490	416	5	wave	wave	NOUN
ejpam-6490	416	6	breaking	break	VERB
ejpam-6490	416	7	in	in	ADP
ejpam-6490	416	8	very	very	ADV
ejpam-6490	416	9	nonlinear	nonlinear	ADJ
ejpam-6490	416	10	dispersive	dispersive	ADJ
ejpam-6490	416	11	media	medium	NOUN
ejpam-6490	416	12	,	,	PUNCT
ejpam-6490	416	13	energy	energy	NOUN
ejpam-6490	416	14	collapse	collapse	NOUN
ejpam-6490	416	15	occurrences	occurrence	NOUN
ejpam-6490	416	16	,	,	PUNCT
ejpam-6490	416	17	and	and	CCONJ
ejpam-6490	416	18	shock	shock	NOUN
ejpam-6490	416	19	-	-	PUNCT
ejpam-6490	416	20	like	like	ADJ
ejpam-6490	416	21	structures	structure	NOUN
ejpam-6490	416	22	.	.	PUNCT
ejpam-6490	417	1	w.	w.	PROPN
ejpam-6490	417	2	w.	w.	PROPN
ejpam-6490	417	3	mohammed	mohammed	PROPN
ejpam-6490	417	4	et	et	PROPN
ejpam-6490	417	5	al	al	PROPN
ejpam-6490	417	6	.	.	PUNCT
ejpam-6490	417	7	/	/	SYM
ejpam-6490	417	8	eur	eur	PROPN
ejpam-6490	417	9	.	.	PUNCT
ejpam-6490	418	1	j.	j.	PROPN
ejpam-6490	418	2	pure	pure	PROPN
ejpam-6490	418	3	appl	appl	PROPN
ejpam-6490	418	4	.	.	PROPN
ejpam-6490	418	5	math	math	PROPN
ejpam-6490	418	6	,	,	PUNCT
ejpam-6490	418	7	18	18	NUM
ejpam-6490	418	8	(	(	PUNCT
ejpam-6490	418	9	3	3	NUM
ejpam-6490	418	10	)	)	PUNCT
ejpam-6490	418	11	(	(	PUNCT
ejpam-6490	418	12	2025	2025	NUM
ejpam-6490	418	13	)	)	PUNCT
ejpam-6490	418	14	,	,	PUNCT
ejpam-6490	418	15	6490	6490	NUM
ejpam-6490	418	16	14	14	NUM
ejpam-6490	418	17	of	of	ADP
ejpam-6490	418	18	23	23	NUM
ejpam-6490	418	19	(	(	PUNCT
ejpam-6490	418	20	a	a	NOUN
ejpam-6490	418	21	)	)	PUNCT
ejpam-6490	418	22	3	3	NUM
ejpam-6490	418	23	-	-	SYM
ejpam-6490	418	24	d	d	NOUN
ejpam-6490	418	25	(	(	PUNCT
ejpam-6490	418	26	b	b	NOUN
ejpam-6490	418	27	)	)	PUNCT
ejpam-6490	418	28	contour	contour	NOUN
ejpam-6490	418	29	(	(	PUNCT
ejpam-6490	418	30	c	c	NOUN
ejpam-6490	418	31	)	)	PUNCT
ejpam-6490	418	32	2	2	NUM
ejpam-6490	418	33	-	-	PUNCT
ejpam-6490	418	34	d	d	NOUN
ejpam-6490	418	35	figure	figure	NOUN
ejpam-6490	418	36	2	2	NUM
ejpam-6490	418	37	:	:	PUNCT
ejpam-6490	418	38	visualization	visualization	NOUN
ejpam-6490	418	39	of	of	ADP
ejpam-6490	418	40	the	the	DET
ejpam-6490	418	41	solution	solution	NOUN
ejpam-6490	418	42	in	in	ADP
ejpam-6490	418	43	eq	eq	ADP
ejpam-6490	418	44	.	.	PUNCT
ejpam-6490	419	1	(	(	PUNCT
ejpam-6490	419	2	12	12	NUM
ejpam-6490	419	3	)	)	PUNCT
ejpam-6490	419	4	.	.	PUNCT
ejpam-6490	420	1	5	5	X
ejpam-6490	420	2	.	.	X
ejpam-6490	420	3	comparison	comparison	NOUN
ejpam-6490	420	4	with	with	ADP
ejpam-6490	420	5	literature	literature	NOUN
ejpam-6490	420	6	in	in	ADP
ejpam-6490	420	7	table	table	NOUN
ejpam-6490	420	8	1	1	NUM
ejpam-6490	420	9	,	,	PUNCT
ejpam-6490	420	10	we	we	PRON
ejpam-6490	420	11	present	present	VERB
ejpam-6490	420	12	a	a	DET
ejpam-6490	420	13	novel	novel	ADJ
ejpam-6490	420	14	comparative	comparative	ADJ
ejpam-6490	420	15	analysis	analysis	NOUN
ejpam-6490	420	16	,	,	PUNCT
ejpam-6490	420	17	supported	support	VERB
ejpam-6490	420	18	by	by	ADP
ejpam-6490	420	19	recent	recent	ADJ
ejpam-6490	420	20	references	reference	NOUN
ejpam-6490	420	21	,	,	PUNCT
ejpam-6490	420	22	from	from	ADP
ejpam-6490	420	23	multiple	multiple	ADJ
ejpam-6490	420	24	perspectives	perspective	NOUN
ejpam-6490	420	25	,	,	PUNCT
ejpam-6490	420	26	including	include	VERB
ejpam-6490	420	27	the	the	DET
ejpam-6490	420	28	employed	employ	VERB
ejpam-6490	420	29	methods	method	NOUN
ejpam-6490	420	30	,	,	PUNCT
ejpam-6490	420	31	the	the	DET
ejpam-6490	420	32	nature	nature	NOUN
ejpam-6490	420	33	of	of	ADP
ejpam-6490	420	34	the	the	DET
ejpam-6490	420	35	obtained	obtain	VERB
ejpam-6490	420	36	solutions	solution	NOUN
ejpam-6490	420	37	,	,	PUNCT
ejpam-6490	420	38	and	and	CCONJ
ejpam-6490	420	39	the	the	DET
ejpam-6490	420	40	specific	specific	ADJ
ejpam-6490	420	41	advantages	advantage	NOUN
ejpam-6490	420	42	of	of	ADP
ejpam-6490	420	43	each	each	DET
ejpam-6490	420	44	approach	approach	NOUN
ejpam-6490	420	45	when	when	SCONJ
ejpam-6490	420	46	applied	apply	VERB
ejpam-6490	420	47	to	to	ADP
ejpam-6490	420	48	the	the	DET
ejpam-6490	420	49	same	same	ADJ
ejpam-6490	420	50	class	class	NOUN
ejpam-6490	420	51	of	of	ADP
ejpam-6490	420	52	models	model	NOUN
ejpam-6490	420	53	investigated	investigate	VERB
ejpam-6490	420	54	in	in	ADP
ejpam-6490	420	55	this	this	DET
ejpam-6490	420	56	work	work	NOUN
ejpam-6490	420	57	.	.	PUNCT
ejpam-6490	421	1	6	6	X
ejpam-6490	421	2	.	.	X
ejpam-6490	421	3	linear	linear	ADJ
ejpam-6490	421	4	stability	stability	NOUN
ejpam-6490	421	5	analysis	analysis	NOUN
ejpam-6490	421	6	in	in	ADP
ejpam-6490	421	7	this	this	DET
ejpam-6490	421	8	section	section	NOUN
ejpam-6490	421	9	,	,	PUNCT
ejpam-6490	421	10	we	we	PRON
ejpam-6490	421	11	investigate	investigate	VERB
ejpam-6490	421	12	the	the	DET
ejpam-6490	421	13	linear	linear	ADJ
ejpam-6490	421	14	stability	stability	NOUN
ejpam-6490	421	15	of	of	ADP
ejpam-6490	421	16	the	the	DET
ejpam-6490	421	17	steady	steady	ADJ
ejpam-6490	421	18	-	-	PUNCT
ejpam-6490	421	19	state	state	NOUN
ejpam-6490	421	20	solution	solution	NOUN
ejpam-6490	421	21	of	of	ADP
ejpam-6490	421	22	the	the	DET
ejpam-6490	421	23	governing	govern	VERB
ejpam-6490	421	24	equation	equation	NOUN
ejpam-6490	421	25	.	.	PUNCT
ejpam-6490	422	1	6.1	6.1	NUM
ejpam-6490	422	2	.	.	PUNCT
ejpam-6490	422	3	steady	steady	ADJ
ejpam-6490	422	4	-	-	PUNCT
ejpam-6490	422	5	state	state	NOUN
ejpam-6490	422	6	and	and	CCONJ
ejpam-6490	422	7	perturbed	perturb	VERB
ejpam-6490	422	8	solution	solution	NOUN
ejpam-6490	422	9	the	the	DET
ejpam-6490	422	10	steady	steady	ADJ
ejpam-6490	422	11	-	-	PUNCT
ejpam-6490	422	12	state	state	NOUN
ejpam-6490	422	13	solution	solution	NOUN
ejpam-6490	422	14	is	be	AUX
ejpam-6490	422	15	one	one	NUM
ejpam-6490	422	16	that	that	PRON
ejpam-6490	422	17	exhibits	exhibit	VERB
ejpam-6490	422	18	no	no	DET
ejpam-6490	422	19	variation	variation	NOUN
ejpam-6490	422	20	in	in	ADP
ejpam-6490	422	21	time	time	NOUN
ejpam-6490	422	22	[	[	X
ejpam-6490	422	23	36	36	NUM
ejpam-6490	422	24	]	]	PUNCT
ejpam-6490	422	25	.	.	PUNCT
ejpam-6490	423	1	for	for	ADP
ejpam-6490	423	2	simplicity	simplicity	NOUN
ejpam-6490	423	3	,	,	PUNCT
ejpam-6490	423	4	we	we	PRON
ejpam-6490	423	5	assume	assume	VERB
ejpam-6490	423	6	it	it	PRON
ejpam-6490	423	7	to	to	PART
ejpam-6490	423	8	be	be	AUX
ejpam-6490	423	9	a	a	DET
ejpam-6490	423	10	constant	constant	ADJ
ejpam-6490	423	11	,	,	PUNCT
ejpam-6490	423	12	denoted	denote	VERB
ejpam-6490	423	13	by	by	ADP
ejpam-6490	423	14	λ	λ	NOUN
ejpam-6490	423	15	.	.	PUNCT
ejpam-6490	424	1	we	we	PRON
ejpam-6490	424	2	then	then	ADV
ejpam-6490	424	3	consider	consider	VERB
ejpam-6490	424	4	a	a	DET
ejpam-6490	424	5	perturbed	perturb	VERB
ejpam-6490	424	6	solution	solution	NOUN
ejpam-6490	424	7	of	of	ADP
ejpam-6490	424	8	the	the	DET
ejpam-6490	424	9	form	form	NOUN
ejpam-6490	424	10	:	:	PUNCT
ejpam-6490	424	11	ϕ(x	ϕ(x	PROPN
ejpam-6490	424	12	,	,	PUNCT
ejpam-6490	424	13	y	y	PROPN
ejpam-6490	424	14	,	,	PUNCT
ejpam-6490	424	15	z	z	PROPN
ejpam-6490	424	16	,	,	PUNCT
ejpam-6490	424	17	t	t	PROPN
ejpam-6490	424	18	)	)	PUNCT
ejpam-6490	424	19	=	=	NOUN
ejpam-6490	424	20	λ+	λ+	PUNCT
ejpam-6490	424	21	ρω(x	ρω(x	NUM
ejpam-6490	424	22	,	,	PUNCT
ejpam-6490	424	23	y	y	PROPN
ejpam-6490	424	24	,	,	PUNCT
ejpam-6490	424	25	z	z	PROPN
ejpam-6490	424	26	,	,	PUNCT
ejpam-6490	424	27	t	t	PROPN
ejpam-6490	424	28	)	)	PUNCT
ejpam-6490	424	29	,	,	PUNCT
ejpam-6490	424	30	where	where	SCONJ
ejpam-6490	424	31	ω(x	ω(x	X
ejpam-6490	424	32	,	,	PUNCT
ejpam-6490	424	33	y	y	PROPN
ejpam-6490	424	34	,	,	PUNCT
ejpam-6490	424	35	z	z	PROPN
ejpam-6490	424	36	,	,	PUNCT
ejpam-6490	424	37	t	t	PROPN
ejpam-6490	424	38	)	)	PUNCT
ejpam-6490	424	39	is	be	AUX
ejpam-6490	424	40	a	a	DET
ejpam-6490	424	41	small	small	ADJ
ejpam-6490	424	42	perturbation	perturbation	NOUN
ejpam-6490	424	43	function	function	NOUN
ejpam-6490	424	44	,	,	PUNCT
ejpam-6490	424	45	and	and	CCONJ
ejpam-6490	424	46	ρ	ρ	PROPN
ejpam-6490	424	47	is	be	AUX
ejpam-6490	424	48	a	a	DET
ejpam-6490	424	49	small	small	ADJ
ejpam-6490	424	50	parameter	parameter	NOUN
ejpam-6490	424	51	.	.	PUNCT
ejpam-6490	425	1	substituting	substitute	VERB
ejpam-6490	425	2	this	this	DET
ejpam-6490	425	3	form	form	NOUN
ejpam-6490	425	4	into	into	ADP
ejpam-6490	425	5	the	the	DET
ejpam-6490	425	6	original	original	ADJ
ejpam-6490	425	7	equation	equation	NOUN
ejpam-6490	425	8	(	(	PUNCT
ejpam-6490	425	9	eq	eq	NOUN
ejpam-6490	425	10	.	.	NOUN
ejpam-6490	425	11	1	1	NUM
ejpam-6490	425	12	)	)	PUNCT
ejpam-6490	425	13	and	and	CCONJ
ejpam-6490	425	14	neglecting	neglect	VERB
ejpam-6490	425	15	nonlinear	nonlinear	ADJ
ejpam-6490	425	16	terms	term	NOUN
ejpam-6490	425	17	yields	yield	VERB
ejpam-6490	425	18	the	the	DET
ejpam-6490	425	19	linearized	linearize	VERB
ejpam-6490	425	20	equation	equation	NOUN
ejpam-6490	425	21	:	:	PUNCT
ejpam-6490	425	22	cωtt	cωtt	NOUN
ejpam-6490	425	23	+	+	CCONJ
ejpam-6490	425	24	ωxxxx	ωxxxx	NOUN
ejpam-6490	425	25	+	+	CCONJ
ejpam-6490	425	26	αωxx	αωxx	VERB
ejpam-6490	425	27	+	+	PUNCT
ejpam-6490	425	28	β	β	X
ejpam-6490	425	29	ωxy	ωxy	NOUN
ejpam-6490	425	30	+	+	CCONJ
ejpam-6490	425	31	γ	γ	X
ejpam-6490	425	32	ωxz	ωxz	NOUN
ejpam-6490	425	33	+	+	CCONJ
ejpam-6490	425	34	ϑωxt	ϑωxt	NOUN
ejpam-6490	425	35	+	+	CCONJ
ejpam-6490	425	36	µωyy	µωyy	NOUN
ejpam-6490	425	37	+	+	CCONJ
ejpam-6490	425	38	2λϱωxx	2λϱωxx	NUM
ejpam-6490	425	39	=	=	SYM
ejpam-6490	425	40	0	0	PROPN
ejpam-6490	425	41	.	.	PUNCT
ejpam-6490	426	1	(	(	PUNCT
ejpam-6490	426	2	43	43	X
ejpam-6490	426	3	)	)	PUNCT
ejpam-6490	426	4	w.	w.	PROPN
ejpam-6490	426	5	w.	w.	PROPN
ejpam-6490	426	6	mohammed	mohammed	PROPN
ejpam-6490	426	7	et	et	PROPN
ejpam-6490	426	8	al	al	PROPN
ejpam-6490	426	9	.	.	PUNCT
ejpam-6490	426	10	/	/	SYM
ejpam-6490	426	11	eur	eur	PROPN
ejpam-6490	426	12	.	.	PUNCT
ejpam-6490	427	1	j.	j.	PROPN
ejpam-6490	427	2	pure	pure	PROPN
ejpam-6490	427	3	appl	appl	PROPN
ejpam-6490	427	4	.	.	PROPN
ejpam-6490	427	5	math	math	PROPN
ejpam-6490	427	6	,	,	PUNCT
ejpam-6490	427	7	18	18	NUM
ejpam-6490	427	8	(	(	PUNCT
ejpam-6490	427	9	3	3	NUM
ejpam-6490	427	10	)	)	PUNCT
ejpam-6490	427	11	(	(	PUNCT
ejpam-6490	427	12	2025	2025	NUM
ejpam-6490	427	13	)	)	PUNCT
ejpam-6490	427	14	,	,	PUNCT
ejpam-6490	427	15	6490	6490	NUM
ejpam-6490	427	16	15	15	NUM
ejpam-6490	427	17	of	of	ADP
ejpam-6490	427	18	23	23	NUM
ejpam-6490	427	19	(	(	PUNCT
ejpam-6490	427	20	a	a	NOUN
ejpam-6490	427	21	)	)	PUNCT
ejpam-6490	427	22	3	3	NUM
ejpam-6490	427	23	-	-	SYM
ejpam-6490	427	24	d	d	NOUN
ejpam-6490	427	25	(	(	PUNCT
ejpam-6490	427	26	b	b	NOUN
ejpam-6490	427	27	)	)	PUNCT
ejpam-6490	427	28	contour	contour	NOUN
ejpam-6490	427	29	(	(	PUNCT
ejpam-6490	427	30	c	c	NOUN
ejpam-6490	427	31	)	)	PUNCT
ejpam-6490	427	32	2	2	NUM
ejpam-6490	427	33	-	-	PUNCT
ejpam-6490	427	34	d	d	NOUN
ejpam-6490	427	35	figure	figure	NOUN
ejpam-6490	427	36	3	3	NUM
ejpam-6490	427	37	:	:	PUNCT
ejpam-6490	427	38	visualization	visualization	NOUN
ejpam-6490	427	39	of	of	ADP
ejpam-6490	427	40	the	the	DET
ejpam-6490	427	41	solution	solution	NOUN
ejpam-6490	427	42	in	in	ADP
ejpam-6490	427	43	eq	eq	ADP
ejpam-6490	427	44	.	.	PUNCT
ejpam-6490	428	1	(	(	PUNCT
ejpam-6490	428	2	40	40	NUM
ejpam-6490	428	3	)	)	PUNCT
ejpam-6490	428	4	.	.	PUNCT
ejpam-6490	429	1	6.2	6.2	NUM
ejpam-6490	429	2	.	.	X
ejpam-6490	429	3	normal	normal	ADJ
ejpam-6490	429	4	mode	mode	NOUN
ejpam-6490	429	5	analysis	analysis	NOUN
ejpam-6490	429	6	to	to	PART
ejpam-6490	429	7	analyze	analyze	VERB
ejpam-6490	429	8	eq	eq	ADP
ejpam-6490	429	9	.	.	PUNCT
ejpam-6490	430	1	(	(	PUNCT
ejpam-6490	430	2	43	43	NUM
ejpam-6490	430	3	)	)	PUNCT
ejpam-6490	430	4	,	,	PUNCT
ejpam-6490	430	5	we	we	PRON
ejpam-6490	430	6	assume	assume	VERB
ejpam-6490	430	7	a	a	DET
ejpam-6490	430	8	solution	solution	NOUN
ejpam-6490	430	9	of	of	ADP
ejpam-6490	430	10	the	the	DET
ejpam-6490	430	11	form	form	NOUN
ejpam-6490	430	12	[	[	X
ejpam-6490	430	13	37	37	NUM
ejpam-6490	430	14	]	]	SYM
ejpam-6490	430	15	:	:	PUNCT
ejpam-6490	430	16	ω(x	ω(x	X
ejpam-6490	430	17	,	,	PUNCT
ejpam-6490	430	18	y	y	PROPN
ejpam-6490	430	19	,	,	PUNCT
ejpam-6490	430	20	z	z	PROPN
ejpam-6490	430	21	,	,	PUNCT
ejpam-6490	430	22	t	t	PROPN
ejpam-6490	430	23	)	)	PUNCT
ejpam-6490	430	24	=	=	SYM
ejpam-6490	430	25	η	η	X
ejpam-6490	430	26	ei(mx+ry+fz+wt	ei(mx+ry+fz+wt	NOUN
ejpam-6490	430	27	)	)	PUNCT
ejpam-6490	430	28	,	,	PUNCT
ejpam-6490	430	29	where	where	SCONJ
ejpam-6490	430	30	:	:	PUNCT
ejpam-6490	430	31	•	•	NUM
ejpam-6490	430	32	m	m	VERB
ejpam-6490	430	33	,	,	PUNCT
ejpam-6490	430	34	r	r	NOUN
ejpam-6490	430	35	,	,	PUNCT
ejpam-6490	430	36	and	and	CCONJ
ejpam-6490	430	37	f	f	PROPN
ejpam-6490	430	38	are	be	AUX
ejpam-6490	430	39	the	the	DET
ejpam-6490	430	40	wave	wave	NOUN
ejpam-6490	430	41	numbers	number	NOUN
ejpam-6490	430	42	in	in	ADP
ejpam-6490	430	43	the	the	DET
ejpam-6490	430	44	x	x	PROPN
ejpam-6490	430	45	,	,	PUNCT
ejpam-6490	430	46	y	y	PROPN
ejpam-6490	430	47	,	,	PUNCT
ejpam-6490	430	48	and	and	CCONJ
ejpam-6490	430	49	z	z	NOUN
ejpam-6490	430	50	directions	direction	NOUN
ejpam-6490	430	51	,	,	PUNCT
ejpam-6490	430	52	respectively	respectively	ADV
ejpam-6490	430	53	,	,	PUNCT
ejpam-6490	430	54	•	•	NUM
ejpam-6490	430	55	w	w	NOUN
ejpam-6490	430	56	is	be	AUX
ejpam-6490	430	57	the	the	DET
ejpam-6490	430	58	temporal	temporal	ADJ
ejpam-6490	430	59	frequency	frequency	NOUN
ejpam-6490	430	60	,	,	PUNCT
ejpam-6490	430	61	•	•	NUM
ejpam-6490	430	62	η	η	PROPN
ejpam-6490	430	63	is	be	AUX
ejpam-6490	430	64	the	the	DET
ejpam-6490	430	65	amplitude	amplitude	NOUN
ejpam-6490	430	66	.	.	PUNCT
ejpam-6490	431	1	substituting	substitute	VERB
ejpam-6490	431	2	this	this	PRON
ejpam-6490	431	3	ansatz	ansatz	ADV
ejpam-6490	431	4	into	into	ADP
ejpam-6490	431	5	eq	eq	NOUN
ejpam-6490	431	6	.	.	PUNCT
ejpam-6490	432	1	(	(	PUNCT
ejpam-6490	432	2	43	43	NUM
ejpam-6490	432	3	)	)	PUNCT
ejpam-6490	432	4	gives	give	VERB
ejpam-6490	432	5	the	the	DET
ejpam-6490	432	6	algebraic	algebraic	ADJ
ejpam-6490	432	7	dispersion	dispersion	NOUN
ejpam-6490	432	8	relation	relation	NOUN
ejpam-6490	432	9	:	:	PUNCT
ejpam-6490	432	10	m4	m4	PROPN
ejpam-6490	432	11	−	−	NOUN
ejpam-6490	432	12	cw	cw	NOUN
ejpam-6490	432	13	2	2	NUM
ejpam-6490	432	14	−	−	NOUN
ejpam-6490	432	15	αm2	αm2	NOUN
ejpam-6490	432	16	−	−	NOUN
ejpam-6490	432	17	µr2	µr2	NOUN
ejpam-6490	432	18	−m(γf	−m(γf	NOUN
ejpam-6490	432	19	+	+	CCONJ
ejpam-6490	432	20	βr+	βr+	ADJ
ejpam-6490	432	21	ϑw	ϑw	NOUN
ejpam-6490	432	22	)	)	PUNCT
ejpam-6490	432	23	−	−	PROPN
ejpam-6490	432	24	2m2λϱ	2m2λϱ	NUM
ejpam-6490	432	25	=	=	SYM
ejpam-6490	432	26	0	0	NUM
ejpam-6490	432	27	.	.	PUNCT
ejpam-6490	433	1	(	(	PUNCT
ejpam-6490	433	2	44	44	NUM
ejpam-6490	433	3	)	)	PUNCT
ejpam-6490	433	4	6.3	6.3	NUM
ejpam-6490	433	5	.	.	PUNCT
ejpam-6490	434	1	dispersion	dispersion	NOUN
ejpam-6490	434	2	relation	relation	NOUN
ejpam-6490	434	3	solving	solve	VERB
ejpam-6490	434	4	for	for	ADP
ejpam-6490	434	5	w	w	PROPN
ejpam-6490	434	6	,	,	PUNCT
ejpam-6490	434	7	we	we	PRON
ejpam-6490	434	8	obtain	obtain	VERB
ejpam-6490	434	9	the	the	DET
ejpam-6490	434	10	frequency	frequency	NOUN
ejpam-6490	434	11	as	as	ADP
ejpam-6490	434	12	a	a	DET
ejpam-6490	434	13	function	function	NOUN
ejpam-6490	434	14	of	of	ADP
ejpam-6490	434	15	the	the	DET
ejpam-6490	434	16	wave	wave	NOUN
ejpam-6490	434	17	numbers	number	NOUN
ejpam-6490	434	18	:	:	PUNCT
ejpam-6490	434	19	w	w	X
ejpam-6490	434	20	=	=	PUNCT
ejpam-6490	434	21	−ϑm	−ϑm	NOUN
ejpam-6490	434	22	±	±	NUM
ejpam-6490	434	23	√	√	NOUN
ejpam-6490	434	24	−4cm(γf	−4cm(γf	NOUN
ejpam-6490	434	25	+	+	CCONJ
ejpam-6490	434	26	βr	βr	NUM
ejpam-6490	434	27	)	)	PUNCT
ejpam-6490	435	1	+	+	CCONJ
ejpam-6490	435	2	4cm4	4cm4	NUM
ejpam-6490	435	3	+	+	ADJ
ejpam-6490	435	4	m2	m2	PROPN
ejpam-6490	435	5	(	(	PUNCT
ejpam-6490	435	6	ϑ2	ϑ2	PROPN
ejpam-6490	435	7	−	−	PROPN
ejpam-6490	435	8	4c(α+	4c(α+	NUM
ejpam-6490	435	9	2λϱ))−	2λϱ))−	NUM
ejpam-6490	435	10	4cµr2	4cµr2	NOUN
ejpam-6490	435	11	2c	2c	NUM
ejpam-6490	435	12	(	(	PUNCT
ejpam-6490	435	13	45	45	NUM
ejpam-6490	435	14	)	)	PUNCT
ejpam-6490	435	15	this	this	DET
ejpam-6490	435	16	relation	relation	NOUN
ejpam-6490	435	17	characterizes	characterize	VERB
ejpam-6490	435	18	the	the	DET
ejpam-6490	435	19	temporal	temporal	ADJ
ejpam-6490	435	20	evolution	evolution	NOUN
ejpam-6490	435	21	of	of	ADP
ejpam-6490	435	22	the	the	DET
ejpam-6490	435	23	perturbations	perturbation	NOUN
ejpam-6490	435	24	and	and	CCONJ
ejpam-6490	435	25	can	can	AUX
ejpam-6490	435	26	be	be	AUX
ejpam-6490	435	27	used	use	VERB
ejpam-6490	435	28	to	to	PART
ejpam-6490	435	29	assess	assess	VERB
ejpam-6490	435	30	the	the	DET
ejpam-6490	435	31	stability	stability	NOUN
ejpam-6490	435	32	of	of	ADP
ejpam-6490	435	33	the	the	DET
ejpam-6490	435	34	steady	steady	ADJ
ejpam-6490	435	35	-	-	PUNCT
ejpam-6490	435	36	state	state	NOUN
ejpam-6490	435	37	solution	solution	NOUN
ejpam-6490	435	38	.	.	PUNCT
ejpam-6490	436	1	w.	w.	PROPN
ejpam-6490	436	2	w.	w.	PROPN
ejpam-6490	436	3	mohammed	mohammed	PROPN
ejpam-6490	436	4	et	et	PROPN
ejpam-6490	436	5	al	al	PROPN
ejpam-6490	436	6	.	.	PUNCT
ejpam-6490	436	7	/	/	SYM
ejpam-6490	436	8	eur	eur	PROPN
ejpam-6490	436	9	.	.	PUNCT
ejpam-6490	437	1	j.	j.	PROPN
ejpam-6490	437	2	pure	pure	PROPN
ejpam-6490	437	3	appl	appl	PROPN
ejpam-6490	437	4	.	.	PROPN
ejpam-6490	437	5	math	math	PROPN
ejpam-6490	437	6	,	,	PUNCT
ejpam-6490	437	7	18	18	NUM
ejpam-6490	437	8	(	(	PUNCT
ejpam-6490	437	9	3	3	NUM
ejpam-6490	437	10	)	)	PUNCT
ejpam-6490	437	11	(	(	PUNCT
ejpam-6490	437	12	2025	2025	NUM
ejpam-6490	437	13	)	)	PUNCT
ejpam-6490	437	14	,	,	PUNCT
ejpam-6490	437	15	6490	6490	NUM
ejpam-6490	437	16	16	16	NUM
ejpam-6490	437	17	of	of	ADP
ejpam-6490	437	18	23	23	NUM
ejpam-6490	437	19	(	(	PUNCT
ejpam-6490	437	20	a	a	NOUN
ejpam-6490	437	21	)	)	PUNCT
ejpam-6490	437	22	3	3	NUM
ejpam-6490	437	23	-	-	SYM
ejpam-6490	437	24	d	d	NOUN
ejpam-6490	437	25	(	(	PUNCT
ejpam-6490	437	26	b	b	NOUN
ejpam-6490	437	27	)	)	PUNCT
ejpam-6490	437	28	contour	contour	NOUN
ejpam-6490	437	29	(	(	PUNCT
ejpam-6490	437	30	c	c	NOUN
ejpam-6490	437	31	)	)	PUNCT
ejpam-6490	437	32	2	2	NUM
ejpam-6490	437	33	-	-	PUNCT
ejpam-6490	437	34	d	d	NOUN
ejpam-6490	437	35	figure	figure	NOUN
ejpam-6490	437	36	4	4	NUM
ejpam-6490	437	37	:	:	PUNCT
ejpam-6490	437	38	visualization	visualization	NOUN
ejpam-6490	437	39	of	of	ADP
ejpam-6490	437	40	the	the	DET
ejpam-6490	437	41	solution	solution	NOUN
ejpam-6490	437	42	in	in	ADP
ejpam-6490	437	43	eq	eq	ADP
ejpam-6490	437	44	.	.	PUNCT
ejpam-6490	438	1	(	(	PUNCT
ejpam-6490	438	2	42	42	NUM
ejpam-6490	438	3	)	)	PUNCT
ejpam-6490	438	4	.	.	PUNCT
ejpam-6490	439	1	6.4	6.4	NUM
ejpam-6490	439	2	.	.	PUNCT
ejpam-6490	440	1	compact	compact	ADJ
ejpam-6490	440	2	stability	stability	NOUN
ejpam-6490	440	3	criterion	criterion	NOUN
ejpam-6490	440	4	recall	recall	VERB
ejpam-6490	440	5	the	the	DET
ejpam-6490	440	6	dispersion	dispersion	NOUN
ejpam-6490	440	7	relation	relation	NOUN
ejpam-6490	440	8	for	for	ADP
ejpam-6490	440	9	mode	mode	NOUN
ejpam-6490	440	10	(	(	PUNCT
ejpam-6490	440	11	m	m	PROPN
ejpam-6490	440	12	,	,	PUNCT
ejpam-6490	440	13	r	r	NOUN
ejpam-6490	440	14	,	,	PUNCT
ejpam-6490	440	15	f	f	PROPN
ejpam-6490	440	16	):	):	PUNCT
ejpam-6490	440	17	w	w	NOUN
ejpam-6490	440	18	=	=	SYM
ejpam-6490	440	19	−ϑm	−ϑm	NOUN
ejpam-6490	440	20	±	±	NUM
ejpam-6490	440	21	√	√	NUM
ejpam-6490	440	22	∆(m	∆(m	PROPN
ejpam-6490	440	23	,	,	PUNCT
ejpam-6490	440	24	r	r	NOUN
ejpam-6490	440	25	,	,	PUNCT
ejpam-6490	440	26	f	f	PROPN
ejpam-6490	440	27	)	)	PUNCT
ejpam-6490	440	28	2c	2c	NOUN
ejpam-6490	440	29	,	,	PUNCT
ejpam-6490	440	30	∆(m	∆(m	VERB
ejpam-6490	440	31	,	,	PUNCT
ejpam-6490	440	32	r	r	NOUN
ejpam-6490	440	33	,	,	PUNCT
ejpam-6490	440	34	f	f	NOUN
ejpam-6490	440	35	)	)	PUNCT
ejpam-6490	441	1	=	=	SYM
ejpam-6490	441	2	−4cm(γf+βr)+4cm4+m2	−4cm(γf+βr)+4cm4+m2	PROPN
ejpam-6490	441	3	(	(	PUNCT
ejpam-6490	441	4	ϑ2	ϑ2	PROPN
ejpam-6490	441	5	−	−	PROPN
ejpam-6490	441	6	4c(α+	4c(α+	NUM
ejpam-6490	441	7	2λϱ	2λϱ	NOUN
ejpam-6490	441	8	)	)	PUNCT
ejpam-6490	441	9	)	)	PUNCT
ejpam-6490	442	1	−4cµr2	−4cµr2	X
ejpam-6490	442	2	.	.	X
ejpam-6490	442	3	write	write	VERB
ejpam-6490	442	4	w	w	PROPN
ejpam-6490	442	5	=	=	PUNCT
ejpam-6490	442	6	wre	wre	PROPN
ejpam-6490	443	1	+	+	X
ejpam-6490	443	2	iwim	iwim	ADJ
ejpam-6490	443	3	.	.	PUNCT
ejpam-6490	444	1	the	the	DET
ejpam-6490	444	2	time	time	NOUN
ejpam-6490	444	3	dependence	dependence	NOUN
ejpam-6490	444	4	is	be	AUX
ejpam-6490	444	5	eiwt	eiwt	NOUN
ejpam-6490	444	6	=	=	PUNCT
ejpam-6490	444	7	eiwrete−wimt	eiwrete−wimt	NOUN
ejpam-6490	444	8	.	.	PUNCT
ejpam-6490	445	1	thus	thus	ADV
ejpam-6490	445	2	:	:	PUNCT
ejpam-6490	445	3	(	(	PUNCT
ejpam-6490	445	4	i	i	NOUN
ejpam-6490	445	5	)	)	PUNCT
ejpam-6490	445	6	if	if	SCONJ
ejpam-6490	445	7	wim	wim	PROPN
ejpam-6490	445	8	>	>	X
ejpam-6490	445	9	0	0	PROPN
ejpam-6490	445	10	,	,	PUNCT
ejpam-6490	445	11	mode	mode	NOUN
ejpam-6490	445	12	decays	decay	VERB
ejpam-6490	445	13	⇒	⇒	NOUN
ejpam-6490	445	14	stable	stable	ADJ
ejpam-6490	445	15	.	.	PUNCT
ejpam-6490	446	1	(	(	PUNCT
ejpam-6490	446	2	ii	ii	NOUN
ejpam-6490	446	3	)	)	PUNCT
ejpam-6490	446	4	if	if	SCONJ
ejpam-6490	446	5	wim	wim	PROPN
ejpam-6490	446	6	<	<	X
ejpam-6490	446	7	0	0	PROPN
ejpam-6490	446	8	,	,	PUNCT
ejpam-6490	446	9	mode	mode	NOUN
ejpam-6490	446	10	grows	grow	VERB
ejpam-6490	446	11	⇒	⇒	PROPN
ejpam-6490	446	12	unstable	unstable	ADJ
ejpam-6490	446	13	.	.	PUNCT
ejpam-6490	447	1	(	(	PUNCT
ejpam-6490	447	2	iii	iii	X
ejpam-6490	447	3	)	)	PUNCT
ejpam-6490	447	4	if	if	SCONJ
ejpam-6490	447	5	wim	wim	PROPN
ejpam-6490	447	6	=	=	SYM
ejpam-6490	447	7	0	0	PROPN
ejpam-6490	447	8	,	,	PUNCT
ejpam-6490	447	9	neutrally	neutrally	ADV
ejpam-6490	447	10	stable	stable	ADJ
ejpam-6490	447	11	(	(	PUNCT
ejpam-6490	447	12	pure	pure	ADJ
ejpam-6490	447	13	oscillation	oscillation	NOUN
ejpam-6490	447	14	)	)	PUNCT
ejpam-6490	447	15	.	.	PUNCT
ejpam-6490	448	1	since	since	SCONJ
ejpam-6490	448	2	for	for	ADP
ejpam-6490	448	3	real	real	ADJ
ejpam-6490	448	4	(	(	PUNCT
ejpam-6490	448	5	m	m	PROPN
ejpam-6490	448	6	,	,	PUNCT
ejpam-6490	448	7	r	r	NOUN
ejpam-6490	448	8	,	,	PUNCT
ejpam-6490	448	9	f	f	PROPN
ejpam-6490	448	10	)	)	PUNCT
ejpam-6490	448	11	,	,	PUNCT
ejpam-6490	448	12	∆	∆	PROPN
ejpam-6490	448	13	is	be	AUX
ejpam-6490	448	14	real	real	ADJ
ejpam-6490	448	15	:	:	PUNCT
ejpam-6490	448	16	•	•	NUM
ejpam-6490	448	17	case	case	NOUN
ejpam-6490	448	18	∆	∆	PROPN
ejpam-6490	448	19	≥	≥	NOUN
ejpam-6490	448	20	0	0	NUM
ejpam-6490	448	21	:	:	PUNCT
ejpam-6490	448	22	√	√	NUM
ejpam-6490	448	23	∆	∆	PROPN
ejpam-6490	448	24	∈	∈	PROPN
ejpam-6490	448	25	r	r	NOUN
ejpam-6490	448	26	⇒	⇒	NOUN
ejpam-6490	448	27	w	w	PROPN
ejpam-6490	448	28	∈	∈	PROPN
ejpam-6490	448	29	r	r	NOUN
ejpam-6490	448	30	⇒	⇒	NOUN
ejpam-6490	448	31	wim	wim	PROPN
ejpam-6490	448	32	=	=	SYM
ejpam-6490	448	33	0	0	PROPN
ejpam-6490	448	34	.	.	PUNCT
ejpam-6490	449	1	modes	mode	NOUN
ejpam-6490	449	2	are	be	AUX
ejpam-6490	449	3	neutrally	neutrally	ADV
ejpam-6490	449	4	stable	stable	ADJ
ejpam-6490	449	5	.	.	PUNCT
ejpam-6490	450	1	•	•	NUM
ejpam-6490	450	2	case	case	NOUN
ejpam-6490	450	3	∆	∆	X
ejpam-6490	450	4	<	<	X
ejpam-6490	450	5	0	0	NUM
ejpam-6490	450	6	:	:	PUNCT
ejpam-6490	450	7	in	in	ADP
ejpam-6490	450	8	this	this	DET
ejpam-6490	450	9	case	case	NOUN
ejpam-6490	450	10	,	,	PUNCT
ejpam-6490	450	11	we	we	PRON
ejpam-6490	450	12	write	write	VERB
ejpam-6490	450	13	∆	∆	X
ejpam-6490	450	14	=	=	PUNCT
ejpam-6490	450	15	−|∆|	−|∆|	PROPN
ejpam-6490	450	16	,	,	PUNCT
ejpam-6490	450	17	so	so	SCONJ
ejpam-6490	450	18	the	the	DET
ejpam-6490	450	19	square	square	ADJ
ejpam-6490	450	20	root	root	NOUN
ejpam-6490	450	21	becomes	become	VERB
ejpam-6490	450	22	imaginary:√	imaginary:√	NOUN
ejpam-6490	450	23	∆	∆	PUNCT
ejpam-6490	451	1	=	=	PUNCT
ejpam-6490	452	1	i	i	PRON
ejpam-6490	452	2	√	√	VERB
ejpam-6490	453	1	|∆|	|∆|	VERB
ejpam-6490	453	2	.	.	PUNCT
ejpam-6490	454	1	then	then	ADV
ejpam-6490	454	2	the	the	DET
ejpam-6490	454	3	frequency	frequency	NOUN
ejpam-6490	454	4	becomes	become	VERB
ejpam-6490	454	5	w	w	NOUN
ejpam-6490	454	6	=	=	PUNCT
ejpam-6490	454	7	−ϑm	−ϑm	NOUN
ejpam-6490	454	8	2c	2c	NUM
ejpam-6490	454	9	±	±	NUM
ejpam-6490	454	10	i	i	NOUN
ejpam-6490	454	11	√	√	VERB
ejpam-6490	455	1	|∆|	|∆|	NUM
ejpam-6490	455	2	2c	2c	NOUN
ejpam-6490	455	3	.	.	PUNCT
ejpam-6490	456	1	hence	hence	ADV
ejpam-6490	456	2	,	,	PUNCT
ejpam-6490	456	3	the	the	DET
ejpam-6490	456	4	imaginary	imaginary	ADJ
ejpam-6490	456	5	part	part	NOUN
ejpam-6490	456	6	is	be	AUX
ejpam-6490	456	7	wim	wim	PROPN
ejpam-6490	456	8	=	=	SYM
ejpam-6490	456	9	±	±	PROPN
ejpam-6490	456	10	√	√	PROPN
ejpam-6490	456	11	|∆|	|∆|	NUM
ejpam-6490	456	12	2c	2c	NOUN
ejpam-6490	456	13	.	.	PUNCT
ejpam-6490	457	1	w.	w.	PROPN
ejpam-6490	457	2	w.	w.	PROPN
ejpam-6490	457	3	mohammed	mohammed	PROPN
ejpam-6490	457	4	et	et	PROPN
ejpam-6490	457	5	al	al	PROPN
ejpam-6490	457	6	.	.	PUNCT
ejpam-6490	457	7	/	/	SYM
ejpam-6490	457	8	eur	eur	PROPN
ejpam-6490	457	9	.	.	PUNCT
ejpam-6490	458	1	j.	j.	PROPN
ejpam-6490	458	2	pure	pure	PROPN
ejpam-6490	458	3	appl	appl	PROPN
ejpam-6490	458	4	.	.	PROPN
ejpam-6490	458	5	math	math	PROPN
ejpam-6490	458	6	,	,	PUNCT
ejpam-6490	458	7	18	18	NUM
ejpam-6490	458	8	(	(	PUNCT
ejpam-6490	458	9	3	3	NUM
ejpam-6490	458	10	)	)	PUNCT
ejpam-6490	458	11	(	(	PUNCT
ejpam-6490	458	12	2025	2025	NUM
ejpam-6490	458	13	)	)	PUNCT
ejpam-6490	458	14	,	,	PUNCT
ejpam-6490	458	15	6490	6490	NUM
ejpam-6490	458	16	17	17	NUM
ejpam-6490	458	17	of	of	ADP
ejpam-6490	458	18	23	23	NUM
ejpam-6490	458	19	(	(	PUNCT
ejpam-6490	458	20	a	a	NOUN
ejpam-6490	458	21	)	)	PUNCT
ejpam-6490	458	22	3	3	NUM
ejpam-6490	458	23	-	-	SYM
ejpam-6490	458	24	d	d	NOUN
ejpam-6490	458	25	(	(	PUNCT
ejpam-6490	458	26	b	b	NOUN
ejpam-6490	458	27	)	)	PUNCT
ejpam-6490	458	28	contour	contour	NOUN
ejpam-6490	458	29	(	(	PUNCT
ejpam-6490	458	30	c	c	NOUN
ejpam-6490	458	31	)	)	PUNCT
ejpam-6490	458	32	2	2	NUM
ejpam-6490	458	33	-	-	PUNCT
ejpam-6490	458	34	d	d	NOUN
ejpam-6490	458	35	figure	figure	NOUN
ejpam-6490	458	36	5	5	NUM
ejpam-6490	458	37	:	:	PUNCT
ejpam-6490	458	38	visualization	visualization	NOUN
ejpam-6490	458	39	of	of	ADP
ejpam-6490	458	40	the	the	DET
ejpam-6490	458	41	solution	solution	NOUN
ejpam-6490	458	42	in	in	ADP
ejpam-6490	458	43	eq	eq	ADP
ejpam-6490	458	44	.	.	PUNCT
ejpam-6490	459	1	(	(	PUNCT
ejpam-6490	459	2	41	41	NUM
ejpam-6490	459	3	)	)	PUNCT
ejpam-6490	459	4	.	.	PUNCT
ejpam-6490	460	1	therefore	therefore	ADV
ejpam-6490	460	2	:	:	PUNCT
ejpam-6490	460	3	–	–	PUNCT
ejpam-6490	460	4	if	if	SCONJ
ejpam-6490	460	5	c	c	PROPN
ejpam-6490	460	6	>	>	X
ejpam-6490	460	7	0	0	PROPN
ejpam-6490	460	8	,	,	PUNCT
ejpam-6490	460	9	the	the	DET
ejpam-6490	460	10	solution	solution	NOUN
ejpam-6490	460	11	to	to	ADP
ejpam-6490	460	12	the	the	DET
ejpam-6490	460	13	linearized	linearize	VERB
ejpam-6490	460	14	equation	equation	NOUN
ejpam-6490	460	15	(	(	PUNCT
ejpam-6490	460	16	43	43	NUM
ejpam-6490	460	17	)	)	PUNCT
ejpam-6490	460	18	can	can	AUX
ejpam-6490	460	19	be	be	AUX
ejpam-6490	460	20	expressed	express	VERB
ejpam-6490	460	21	as	as	ADP
ejpam-6490	460	22	a	a	DET
ejpam-6490	460	23	superposition	superposition	NOUN
ejpam-6490	460	24	of	of	ADP
ejpam-6490	460	25	two	two	NUM
ejpam-6490	460	26	complex	complex	ADJ
ejpam-6490	460	27	conjugate	conjugate	ADJ
ejpam-6490	460	28	modes	mode	NOUN
ejpam-6490	460	29	corresponding	correspond	VERB
ejpam-6490	460	30	to	to	ADP
ejpam-6490	460	31	the	the	DET
ejpam-6490	460	32	roots	root	NOUN
ejpam-6490	460	33	of	of	ADP
ejpam-6490	460	34	the	the	DET
ejpam-6490	460	35	dispersion	dispersion	NOUN
ejpam-6490	460	36	equation	equation	NOUN
ejpam-6490	460	37	.	.	PUNCT
ejpam-6490	461	1	that	that	PRON
ejpam-6490	461	2	is	be	AUX
ejpam-6490	461	3	,	,	PUNCT
ejpam-6490	461	4	ω(x	ω(x	PROPN
ejpam-6490	461	5	,	,	PUNCT
ejpam-6490	461	6	y	y	PROPN
ejpam-6490	461	7	,	,	PUNCT
ejpam-6490	461	8	z	z	PROPN
ejpam-6490	461	9	,	,	PUNCT
ejpam-6490	461	10	t	t	PROPN
ejpam-6490	461	11	)	)	PUNCT
ejpam-6490	461	12	=	=	PUNCT
ejpam-6490	462	1	e	e	X
ejpam-6490	462	2	i	i	PRON
ejpam-6490	462	3	(	(	PUNCT
ejpam-6490	462	4	mx+ry+fz+	mx+ry+fz+	PROPN
ejpam-6490	462	5	(	(	PUNCT
ejpam-6490	462	6	−ϑm	−ϑm	NOUN
ejpam-6490	462	7	2c	2c	NOUN
ejpam-6490	462	8	+	+	NOUN
ejpam-6490	462	9	i	i	PROPN
ejpam-6490	462	10	√	√	VERB
ejpam-6490	463	1	|∆|	|∆|	NUM
ejpam-6490	463	2	2c	2c	NUM
ejpam-6490	463	3	)	)	PUNCT
ejpam-6490	463	4	t	t	NOUN
ejpam-6490	463	5	)	)	PUNCT
ejpam-6490	464	1	+	+	CCONJ
ejpam-6490	464	2	e	e	X
ejpam-6490	464	3	i	i	PRON
ejpam-6490	464	4	(	(	PUNCT
ejpam-6490	464	5	mx+ry+fz+	mx+ry+fz+	PROPN
ejpam-6490	464	6	(	(	PUNCT
ejpam-6490	464	7	−ϑm	−ϑm	NOUN
ejpam-6490	464	8	2c	2c	NUM
ejpam-6490	464	9	−i	−i	ADJ
ejpam-6490	464	10	√	√	NUM
ejpam-6490	464	11	|∆|	|∆|	NUM
ejpam-6490	464	12	2c	2c	NUM
ejpam-6490	464	13	)	)	PUNCT
ejpam-6490	464	14	t	t	NOUN
ejpam-6490	464	15	)	)	PUNCT
ejpam-6490	464	16	.	.	PUNCT
ejpam-6490	465	1	even	even	ADV
ejpam-6490	465	2	though	though	SCONJ
ejpam-6490	465	3	one	one	NUM
ejpam-6490	465	4	of	of	ADP
ejpam-6490	465	5	the	the	DET
ejpam-6490	465	6	branches	branch	NOUN
ejpam-6490	465	7	corresponds	correspond	VERB
ejpam-6490	465	8	to	to	ADP
ejpam-6490	465	9	a	a	DET
ejpam-6490	465	10	decaying	decay	VERB
ejpam-6490	465	11	mode	mode	NOUN
ejpam-6490	465	12	,	,	PUNCT
ejpam-6490	465	13	the	the	DET
ejpam-6490	465	14	other	other	ADJ
ejpam-6490	465	15	represents	represent	VERB
ejpam-6490	465	16	an	an	DET
ejpam-6490	465	17	exponentially	exponentially	ADV
ejpam-6490	465	18	growing	grow	VERB
ejpam-6490	465	19	mode	mode	NOUN
ejpam-6490	465	20	.	.	PUNCT
ejpam-6490	466	1	as	as	SCONJ
ejpam-6490	466	2	time	time	NOUN
ejpam-6490	466	3	evolves	evolve	VERB
ejpam-6490	466	4	,	,	PUNCT
ejpam-6490	466	5	this	this	DET
ejpam-6490	466	6	growing	grow	VERB
ejpam-6490	466	7	mode	mode	NOUN
ejpam-6490	466	8	will	will	AUX
ejpam-6490	466	9	dominate	dominate	VERB
ejpam-6490	466	10	the	the	DET
ejpam-6490	466	11	dynamics	dynamic	NOUN
ejpam-6490	466	12	,	,	PUNCT
ejpam-6490	466	13	rendering	render	VERB
ejpam-6490	466	14	the	the	DET
ejpam-6490	466	15	steady	steady	ADJ
ejpam-6490	466	16	-	-	PUNCT
ejpam-6490	466	17	state	state	NOUN
ejpam-6490	466	18	solution	solution	NOUN
ejpam-6490	466	19	linearly	linearly	ADV
ejpam-6490	466	20	unstable	unstable	ADJ
ejpam-6490	466	21	.	.	PUNCT
ejpam-6490	467	1	therefore	therefore	ADV
ejpam-6490	467	2	,	,	PUNCT
ejpam-6490	467	3	the	the	DET
ejpam-6490	467	4	instability	instability	NOUN
ejpam-6490	467	5	is	be	AUX
ejpam-6490	467	6	invitable	invitable	ADJ
ejpam-6490	467	7	.	.	PUNCT
ejpam-6490	468	1	–	–	PUNCT
ejpam-6490	468	2	the	the	DET
ejpam-6490	468	3	existence	existence	NOUN
ejpam-6490	468	4	of	of	ADP
ejpam-6490	468	5	even	even	ADV
ejpam-6490	468	6	a	a	DET
ejpam-6490	468	7	single	single	ADJ
ejpam-6490	468	8	wave	wave	NOUN
ejpam-6490	468	9	mode	mode	NOUN
ejpam-6490	468	10	(	(	PUNCT
ejpam-6490	468	11	m	m	NOUN
ejpam-6490	468	12	,	,	PUNCT
ejpam-6490	468	13	r	r	NOUN
ejpam-6490	468	14	,	,	PUNCT
ejpam-6490	468	15	f	f	PROPN
ejpam-6490	468	16	)	)	PUNCT
ejpam-6490	468	17	for	for	ADP
ejpam-6490	468	18	which	which	PRON
ejpam-6490	468	19	∆	∆	PROPN
ejpam-6490	468	20	<	<	X
ejpam-6490	468	21	0	0	X
ejpam-6490	468	22	is	be	AUX
ejpam-6490	468	23	sufficient	sufficient	ADJ
ejpam-6490	468	24	to	to	PART
ejpam-6490	468	25	conclude	conclude	VERB
ejpam-6490	468	26	linear	linear	ADJ
ejpam-6490	468	27	instability	instability	NOUN
ejpam-6490	468	28	of	of	ADP
ejpam-6490	468	29	the	the	DET
ejpam-6490	468	30	steady	steady	ADJ
ejpam-6490	468	31	state	state	NOUN
ejpam-6490	468	32	.	.	PUNCT
ejpam-6490	469	1	in	in	ADP
ejpam-6490	469	2	the	the	DET
ejpam-6490	469	3	following	following	NOUN
ejpam-6490	469	4	,	,	PUNCT
ejpam-6490	469	5	we	we	PRON
ejpam-6490	469	6	present	present	VERB
ejpam-6490	469	7	a	a	DET
ejpam-6490	469	8	set	set	NOUN
ejpam-6490	469	9	of	of	ADP
ejpam-6490	469	10	plots	plot	NOUN
ejpam-6490	469	11	illustrating	illustrate	VERB
ejpam-6490	469	12	both	both	CCONJ
ejpam-6490	469	13	instability	instability	NOUN
ejpam-6490	469	14	and	and	CCONJ
ejpam-6490	469	15	neutral	neutral	ADJ
ejpam-6490	469	16	stability	stability	NOUN
ejpam-6490	469	17	cases	case	NOUN
ejpam-6490	469	18	based	base	VERB
ejpam-6490	469	19	on	on	ADP
ejpam-6490	469	20	different	different	ADJ
ejpam-6490	469	21	parameter	parameter	NOUN
ejpam-6490	469	22	settings	setting	NOUN
ejpam-6490	469	23	.	.	PUNCT
ejpam-6490	470	1	for	for	ADP
ejpam-6490	470	2	the	the	DET
ejpam-6490	470	3	neutrally	neutrally	ADV
ejpam-6490	470	4	stable	stable	ADJ
ejpam-6490	470	5	case	case	NOUN
ejpam-6490	470	6	,	,	PUNCT
ejpam-6490	470	7	we	we	PRON
ejpam-6490	470	8	adopt	adopt	VERB
ejpam-6490	470	9	the	the	DET
ejpam-6490	470	10	parameter	parameter	NOUN
ejpam-6490	470	11	set	set	NOUN
ejpam-6490	470	12	:	:	PUNCT
ejpam-6490	470	13	α	α	X
ejpam-6490	470	14	=	=	SYM
ejpam-6490	470	15	1	1	NUM
ejpam-6490	470	16	,	,	PUNCT
ejpam-6490	470	17	β	β	X
ejpam-6490	470	18	=	=	SYM
ejpam-6490	470	19	5	5	NUM
ejpam-6490	470	20	,	,	PUNCT
ejpam-6490	470	21	γ	γ	NOUN
ejpam-6490	470	22	=	=	SYM
ejpam-6490	470	23	5	5	NUM
ejpam-6490	470	24	,	,	PUNCT
ejpam-6490	470	25	c	c	NOUN
ejpam-6490	470	26	=	=	SYM
ejpam-6490	470	27	1	1	NUM
ejpam-6490	470	28	,	,	PUNCT
ejpam-6490	470	29	f	f	PROPN
ejpam-6490	470	30	=	=	SYM
ejpam-6490	470	31	0	0	NUM
ejpam-6490	470	32	,	,	PUNCT
ejpam-6490	470	33	µ	µ	X
ejpam-6490	470	34	=	=	SYM
ejpam-6490	470	35	1	1	NUM
ejpam-6490	470	36	,	,	PUNCT
ejpam-6490	470	37	ϑ	ϑ	X
ejpam-6490	470	38	=	=	SYM
ejpam-6490	470	39	1	1	NUM
ejpam-6490	470	40	,	,	PUNCT
ejpam-6490	470	41	r	r	NOUN
ejpam-6490	470	42	=	=	SYM
ejpam-6490	470	43	2	2	NUM
ejpam-6490	470	44	,	,	PUNCT
ejpam-6490	470	45	ϱ	ϱ	X
ejpam-6490	470	46	=	=	SYM
ejpam-6490	470	47	5	5	X
ejpam-6490	470	48	.	.	PUNCT
ejpam-6490	471	1	these	these	DET
ejpam-6490	471	2	values	value	NOUN
ejpam-6490	471	3	ensure	ensure	VERB
ejpam-6490	471	4	that	that	SCONJ
ejpam-6490	471	5	the	the	DET
ejpam-6490	471	6	discriminant	discriminant	NOUN
ejpam-6490	471	7	remains	remain	VERB
ejpam-6490	471	8	non	non	ADJ
ejpam-6490	471	9	-	-	ADJ
ejpam-6490	471	10	negative	negative	ADJ
ejpam-6490	471	11	,	,	PUNCT
ejpam-6490	471	12	resulting	result	VERB
ejpam-6490	471	13	in	in	ADP
ejpam-6490	471	14	a	a	DET
ejpam-6490	471	15	purely	purely	ADV
ejpam-6490	471	16	real	real	ADJ
ejpam-6490	471	17	dispersion	dispersion	NOUN
ejpam-6490	471	18	relation	relation	NOUN
ejpam-6490	471	19	and	and	CCONJ
ejpam-6490	471	20	therefore	therefore	ADV
ejpam-6490	471	21	neutral	neutral	ADJ
ejpam-6490	471	22	stability	stability	NOUN
ejpam-6490	471	23	.	.	PUNCT
ejpam-6490	472	1	w.	w.	PROPN
ejpam-6490	472	2	w.	w.	PROPN
ejpam-6490	472	3	mohammed	mohammed	PROPN
ejpam-6490	472	4	et	et	PROPN
ejpam-6490	472	5	al	al	PROPN
ejpam-6490	472	6	.	.	PUNCT
ejpam-6490	472	7	/	/	SYM
ejpam-6490	472	8	eur	eur	PROPN
ejpam-6490	472	9	.	.	PUNCT
ejpam-6490	473	1	j.	j.	PROPN
ejpam-6490	473	2	pure	pure	PROPN
ejpam-6490	473	3	appl	appl	PROPN
ejpam-6490	473	4	.	.	PROPN
ejpam-6490	473	5	math	math	PROPN
ejpam-6490	473	6	,	,	PUNCT
ejpam-6490	473	7	18	18	NUM
ejpam-6490	473	8	(	(	PUNCT
ejpam-6490	473	9	3	3	NUM
ejpam-6490	473	10	)	)	PUNCT
ejpam-6490	473	11	(	(	PUNCT
ejpam-6490	473	12	2025	2025	NUM
ejpam-6490	473	13	)	)	PUNCT
ejpam-6490	473	14	,	,	PUNCT
ejpam-6490	473	15	6490	6490	NUM
ejpam-6490	473	16	18	18	NUM
ejpam-6490	473	17	of	of	ADP
ejpam-6490	473	18	23	23	NUM
ejpam-6490	473	19	article	article	NOUN
ejpam-6490	473	20	ref	ref	VERB
ejpam-6490	473	21	.	.	PUNCT
ejpam-6490	474	1	no	no	INTJ
ejpam-6490	474	2	.	.	NOUN
ejpam-6490	475	1	method	method	NOUN
ejpam-6490	475	2	outcomes	outcome	NOUN
ejpam-6490	475	3	advantages	advantage	NOUN
ejpam-6490	475	4	[	[	X
ejpam-6490	475	5	32	32	NUM
ejpam-6490	475	6	]	]	PUNCT
ejpam-6490	475	7	bilinear	bilinear	NOUN
ejpam-6490	475	8	method	method	NOUN
ejpam-6490	475	9	multi	multi	ADJ
ejpam-6490	475	10	-	-	ADJ
ejpam-6490	475	11	soliton	soliton	ADJ
ejpam-6490	475	12	solutions	solution	NOUN
ejpam-6490	475	13	,	,	PUNCT
ejpam-6490	475	14	bright	bright	ADJ
ejpam-6490	475	15	and	and	CCONJ
ejpam-6490	475	16	dark	dark	ADJ
ejpam-6490	475	17	solitons	soliton	NOUN
ejpam-6490	475	18	,	,	PUNCT
ejpam-6490	475	19	soliton	soliton	NOUN
ejpam-6490	475	20	interactions	interaction	NOUN
ejpam-6490	475	21	highly	highly	ADV
ejpam-6490	475	22	effective	effective	ADJ
ejpam-6490	475	23	for	for	ADP
ejpam-6490	475	24	integrable	integrable	ADJ
ejpam-6490	475	25	systems	system	NOUN
ejpam-6490	475	26	;	;	PUNCT
ejpam-6490	475	27	systematic	systematic	ADJ
ejpam-6490	475	28	and	and	CCONJ
ejpam-6490	475	29	elegant	elegant	ADJ
ejpam-6490	475	30	for	for	ADP
ejpam-6490	475	31	constructing	construct	VERB
ejpam-6490	475	32	multi	multi	ADJ
ejpam-6490	475	33	-	-	ADJ
ejpam-6490	475	34	soliton	soliton	ADJ
ejpam-6490	475	35	solutions	solution	NOUN
ejpam-6490	475	36	[	[	X
ejpam-6490	475	37	33	33	NUM
ejpam-6490	475	38	]	]	PUNCT
ejpam-6490	475	39	sine	sine	ADJ
ejpam-6490	475	40	–	–	PUNCT
ejpam-6490	475	41	cosine	cosine	NOUN
ejpam-6490	475	42	method	method	NOUN
ejpam-6490	475	43	periodic	periodic	ADJ
ejpam-6490	475	44	solutions	solution	NOUN
ejpam-6490	475	45	,	,	PUNCT
ejpam-6490	475	46	bright	bright	ADJ
ejpam-6490	475	47	/	/	SYM
ejpam-6490	475	48	dark	dark	ADJ
ejpam-6490	475	49	solitons	soliton	NOUN
ejpam-6490	475	50	in	in	ADP
ejpam-6490	475	51	trigonometric	trigonometric	ADJ
ejpam-6490	475	52	or	or	CCONJ
ejpam-6490	475	53	hyperbolic	hyperbolic	ADJ
ejpam-6490	475	54	form	form	NOUN
ejpam-6490	475	55	simple	simple	ADJ
ejpam-6490	475	56	implementation	implementation	NOUN
ejpam-6490	475	57	;	;	PUNCT
ejpam-6490	475	58	effective	effective	ADJ
ejpam-6490	475	59	for	for	ADP
ejpam-6490	475	60	constructing	construct	VERB
ejpam-6490	475	61	wave	wave	NOUN
ejpam-6490	475	62	-	-	PUNCT
ejpam-6490	475	63	type	type	NOUN
ejpam-6490	475	64	solutions	solution	NOUN
ejpam-6490	475	65	with	with	ADP
ejpam-6490	475	66	few	few	ADJ
ejpam-6490	475	67	parameters	parameter	NOUN
ejpam-6490	475	68	[	[	X
ejpam-6490	475	69	34	34	NUM
ejpam-6490	475	70	]	]	PUNCT
ejpam-6490	475	71	lie	lie	NOUN
ejpam-6490	475	72	symmetry	symmetry	NOUN
ejpam-6490	475	73	method	method	NOUN
ejpam-6490	475	74	similarity	similarity	NOUN
ejpam-6490	475	75	reductions	reduction	NOUN
ejpam-6490	475	76	,	,	PUNCT
ejpam-6490	475	77	invariant	invariant	ADJ
ejpam-6490	475	78	solutions	solution	NOUN
ejpam-6490	475	79	,	,	PUNCT
ejpam-6490	475	80	symmetry	symmetry	NOUN
ejpam-6490	475	81	classification	classification	NOUN
ejpam-6490	475	82	powerful	powerful	ADJ
ejpam-6490	475	83	for	for	ADP
ejpam-6490	475	84	finding	find	VERB
ejpam-6490	475	85	reduction	reduction	NOUN
ejpam-6490	475	86	to	to	AUX
ejpam-6490	475	87	odes	ode	NOUN
ejpam-6490	475	88	,	,	PUNCT
ejpam-6490	475	89	conserved	conserved	ADJ
ejpam-6490	475	90	quantities	quantity	NOUN
ejpam-6490	475	91	,	,	PUNCT
ejpam-6490	475	92	and	and	CCONJ
ejpam-6490	475	93	hidden	hidden	ADJ
ejpam-6490	475	94	symmetries	symmetry	NOUN
ejpam-6490	475	95	[	[	X
ejpam-6490	475	96	35	35	NUM
ejpam-6490	475	97	]	]	PUNCT
ejpam-6490	475	98	darboux	darboux	VERB
ejpam-6490	475	99	transformation	transformation	NOUN
ejpam-6490	475	100	bright	bright	ADJ
ejpam-6490	475	101	/	/	SYM
ejpam-6490	475	102	dark	dark	ADJ
ejpam-6490	475	103	solitons	soliton	NOUN
ejpam-6490	475	104	,	,	PUNCT
ejpam-6490	475	105	rogue	rogue	NOUN
ejpam-6490	475	106	and	and	CCONJ
ejpam-6490	475	107	breather	breather	NOUN
ejpam-6490	475	108	solutions	solution	NOUN
ejpam-6490	475	109	constructs	construct	VERB
ejpam-6490	475	110	exact	exact	ADJ
ejpam-6490	475	111	solutions	solution	NOUN
ejpam-6490	475	112	recursively	recursively	ADV
ejpam-6490	475	113	;	;	PUNCT
ejpam-6490	475	114	excellent	excellent	ADJ
ejpam-6490	475	115	for	for	ADP
ejpam-6490	475	116	integrable	integrable	ADJ
ejpam-6490	475	117	models	model	NOUN
ejpam-6490	475	118	with	with	ADP
ejpam-6490	475	119	lax	lax	ADJ
ejpam-6490	475	120	pairs	pair	NOUN
ejpam-6490	475	121	in	in	ADP
ejpam-6490	475	122	this	this	DET
ejpam-6490	475	123	work	work	NOUN
ejpam-6490	475	124	improved	improve	VERB
ejpam-6490	475	125	modified	modify	VERB
ejpam-6490	475	126	extended	extended	ADJ
ejpam-6490	475	127	tanhfunction	tanhfunction	NOUN
ejpam-6490	475	128	method	method	NOUN
ejpam-6490	475	129	bright	bright	ADJ
ejpam-6490	475	130	,	,	PUNCT
ejpam-6490	475	131	dark	dark	ADJ
ejpam-6490	475	132	,	,	PUNCT
ejpam-6490	475	133	and	and	CCONJ
ejpam-6490	475	134	singular	singular	ADJ
ejpam-6490	475	135	solitons	soliton	NOUN
ejpam-6490	475	136	;	;	PUNCT
ejpam-6490	475	137	periodic	periodic	ADJ
ejpam-6490	475	138	,	,	PUNCT
ejpam-6490	475	139	rational	rational	ADJ
ejpam-6490	475	140	,	,	PUNCT
ejpam-6490	475	141	jefss	jefss	ADJ
ejpam-6490	475	142	,	,	PUNCT
ejpam-6490	475	143	and	and	CCONJ
ejpam-6490	475	144	weierstrass	weierstrass	VERB
ejpam-6490	475	145	doubly	doubly	ADV
ejpam-6490	475	146	elliptic	elliptic	ADJ
ejpam-6490	475	147	solutions	solution	NOUN
ejpam-6490	475	148	unifies	unify	VERB
ejpam-6490	475	149	diverse	diverse	ADJ
ejpam-6490	475	150	solution	solution	NOUN
ejpam-6490	475	151	types	type	NOUN
ejpam-6490	475	152	;	;	PUNCT
ejpam-6490	475	153	handles	handle	VERB
ejpam-6490	475	154	nonlinearities	nonlinearitie	NOUN
ejpam-6490	475	155	systematically	systematically	ADV
ejpam-6490	475	156	;	;	PUNCT
ejpam-6490	475	157	suitable	suitable	ADJ
ejpam-6490	475	158	for	for	ADP
ejpam-6490	475	159	higherdimensional	higherdimensional	ADJ
ejpam-6490	475	160	models	model	NOUN
ejpam-6490	475	161	table	table	VERB
ejpam-6490	475	162	1	1	NUM
ejpam-6490	475	163	:	:	PUNCT
ejpam-6490	475	164	comparison	comparison	NOUN
ejpam-6490	475	165	of	of	ADP
ejpam-6490	475	166	classical	classical	ADJ
ejpam-6490	475	167	methods	method	NOUN
ejpam-6490	475	168	with	with	ADP
ejpam-6490	475	169	the	the	DET
ejpam-6490	475	170	ime	ime	ADJ
ejpam-6490	475	171	tanh	tanh	NOUN
ejpam-6490	475	172	-	-	PUNCT
ejpam-6490	475	173	function	function	NOUN
ejpam-6490	475	174	technique	technique	NOUN
ejpam-6490	475	175	used	use	VERB
ejpam-6490	475	176	in	in	ADP
ejpam-6490	475	177	this	this	DET
ejpam-6490	475	178	study	study	NOUN
ejpam-6490	475	179	for	for	ADP
ejpam-6490	475	180	(	(	PUNCT
ejpam-6490	475	181	3	3	NUM
ejpam-6490	475	182	+	+	NOUN
ejpam-6490	475	183	1)-dimensional	1)-dimensional	ADJ
ejpam-6490	475	184	models	model	NOUN
ejpam-6490	475	185	for	for	ADP
ejpam-6490	475	186	the	the	DET
ejpam-6490	475	187	instability	instability	NOUN
ejpam-6490	475	188	scenario	scenario	NOUN
ejpam-6490	475	189	,	,	PUNCT
ejpam-6490	475	190	we	we	PRON
ejpam-6490	475	191	consider	consider	VERB
ejpam-6490	475	192	the	the	DET
ejpam-6490	475	193	parameters	parameter	NOUN
ejpam-6490	475	194	:	:	PUNCT
ejpam-6490	475	195	α	α	X
ejpam-6490	475	196	=	=	SYM
ejpam-6490	475	197	3	3	NUM
ejpam-6490	475	198	,	,	PUNCT
ejpam-6490	475	199	β	β	X
ejpam-6490	475	200	=	=	SYM
ejpam-6490	475	201	3	3	NUM
ejpam-6490	475	202	,	,	PUNCT
ejpam-6490	475	203	γ	γ	NOUN
ejpam-6490	475	204	=	=	SYM
ejpam-6490	475	205	−3	−3	PROPN
ejpam-6490	475	206	,	,	PUNCT
ejpam-6490	475	207	c	c	NOUN
ejpam-6490	475	208	=	=	SYM
ejpam-6490	475	209	1	1	NUM
ejpam-6490	475	210	,	,	PUNCT
ejpam-6490	475	211	f	f	PROPN
ejpam-6490	475	212	=	=	SYM
ejpam-6490	475	213	1	1	NUM
ejpam-6490	475	214	,	,	PUNCT
ejpam-6490	475	215	µ	µ	X
ejpam-6490	475	216	=	=	SYM
ejpam-6490	475	217	2	2	NUM
ejpam-6490	475	218	,	,	PUNCT
ejpam-6490	475	219	ϑ	ϑ	X
ejpam-6490	475	220	=	=	SYM
ejpam-6490	475	221	1	1	NUM
ejpam-6490	475	222	,	,	PUNCT
ejpam-6490	475	223	r	r	NOUN
ejpam-6490	475	224	=	=	SYM
ejpam-6490	475	225	1	1	NUM
ejpam-6490	475	226	,	,	PUNCT
ejpam-6490	475	227	ϱ	ϱ	X
ejpam-6490	475	228	=	=	SYM
ejpam-6490	475	229	1	1	X
ejpam-6490	475	230	.	.	PUNCT
ejpam-6490	476	1	in	in	ADP
ejpam-6490	476	2	this	this	DET
ejpam-6490	476	3	case	case	NOUN
ejpam-6490	476	4	,	,	PUNCT
ejpam-6490	476	5	the	the	DET
ejpam-6490	476	6	discriminant	discriminant	NOUN
ejpam-6490	476	7	∆	∆	X
ejpam-6490	476	8	<	<	X
ejpam-6490	476	9	0	0	PROPN
ejpam-6490	476	10	,	,	PUNCT
ejpam-6490	476	11	leading	lead	VERB
ejpam-6490	476	12	to	to	ADP
ejpam-6490	476	13	a	a	DET
ejpam-6490	476	14	nonzero	nonzero	ADJ
ejpam-6490	476	15	imaginary	imaginary	ADJ
ejpam-6490	476	16	part	part	NOUN
ejpam-6490	476	17	of	of	ADP
ejpam-6490	476	18	the	the	DET
ejpam-6490	476	19	dispersion	dispersion	NOUN
ejpam-6490	476	20	relation	relation	NOUN
ejpam-6490	476	21	.	.	PUNCT
ejpam-6490	477	1	we	we	PRON
ejpam-6490	477	2	therefore	therefore	ADV
ejpam-6490	477	3	plot	plot	VERB
ejpam-6490	477	4	the	the	DET
ejpam-6490	477	5	imaginary	imaginary	ADJ
ejpam-6490	477	6	part	part	NOUN
ejpam-6490	477	7	of	of	ADP
ejpam-6490	477	8	ω(m	ω(m	NOUN
ejpam-6490	477	9	)	)	PUNCT
ejpam-6490	477	10	versus	versus	ADP
ejpam-6490	477	11	the	the	DET
ejpam-6490	477	12	wavenumber	wavenumber	NOUN
ejpam-6490	477	13	m	m	VERB
ejpam-6490	477	14	to	to	PART
ejpam-6490	477	15	identify	identify	VERB
ejpam-6490	477	16	the	the	DET
ejpam-6490	477	17	regions	region	NOUN
ejpam-6490	477	18	of	of	ADP
ejpam-6490	477	19	instability	instability	NOUN
ejpam-6490	477	20	.	.	PUNCT
ejpam-6490	478	1	6.5	6.5	NUM
ejpam-6490	478	2	.	.	PUNCT
ejpam-6490	478	3	conclusion	conclusion	NOUN
ejpam-6490	478	4	on	on	ADP
ejpam-6490	478	5	stability	stability	NOUN
ejpam-6490	478	6	the	the	DET
ejpam-6490	478	7	steady	steady	ADJ
ejpam-6490	478	8	-	-	PUNCT
ejpam-6490	478	9	state	state	NOUN
ejpam-6490	478	10	solution	solution	NOUN
ejpam-6490	478	11	λ	λ	NOUN
ejpam-6490	478	12	is	be	AUX
ejpam-6490	478	13	:	:	PUNCT
ejpam-6490	478	14	•	•	NUM
ejpam-6490	478	15	linearly	linearly	ADV
ejpam-6490	478	16	unstable	unstable	ADJ
ejpam-6490	478	17	if	if	SCONJ
ejpam-6490	478	18	there	there	PRON
ejpam-6490	478	19	exists	exist	VERB
ejpam-6490	478	20	any	any	DET
ejpam-6490	478	21	real	real	ADJ
ejpam-6490	478	22	mode	mode	NOUN
ejpam-6490	478	23	(	(	PUNCT
ejpam-6490	478	24	m	m	NOUN
ejpam-6490	478	25	,	,	PUNCT
ejpam-6490	478	26	r	r	NOUN
ejpam-6490	478	27	,	,	PUNCT
ejpam-6490	478	28	f	f	PROPN
ejpam-6490	478	29	)	)	PUNCT
ejpam-6490	478	30	such	such	ADJ
ejpam-6490	478	31	that	that	PRON
ejpam-6490	478	32	∆(m	∆(m	PROPN
ejpam-6490	478	33	,	,	PUNCT
ejpam-6490	478	34	r	r	NOUN
ejpam-6490	478	35	,	,	PUNCT
ejpam-6490	478	36	f	f	PROPN
ejpam-6490	478	37	)	)	PUNCT
ejpam-6490	478	38	<	<	X
ejpam-6490	478	39	0	0	X
ejpam-6490	478	40	.	.	PUNCT
ejpam-6490	479	1	in	in	ADP
ejpam-6490	479	2	this	this	DET
ejpam-6490	479	3	case	case	NOUN
ejpam-6490	479	4	,	,	PUNCT
ejpam-6490	479	5	the	the	DET
ejpam-6490	479	6	corresponding	corresponding	ADJ
ejpam-6490	479	7	perturbation	perturbation	NOUN
ejpam-6490	479	8	grows	grow	VERB
ejpam-6490	479	9	exponentially	exponentially	ADV
ejpam-6490	479	10	with	with	ADP
ejpam-6490	479	11	time	time	NOUN
ejpam-6490	479	12	for	for	ADP
ejpam-6490	479	13	one	one	NUM
ejpam-6490	479	14	branch	branch	NOUN
ejpam-6490	479	15	of	of	ADP
ejpam-6490	479	16	the	the	DET
ejpam-6490	479	17	root	root	NOUN
ejpam-6490	479	18	,	,	PUNCT
ejpam-6490	479	19	and	and	CCONJ
ejpam-6490	479	20	the	the	DET
ejpam-6490	479	21	other	other	ADJ
ejpam-6490	479	22	branch	branch	NOUN
ejpam-6490	479	23	of	of	ADP
ejpam-6490	479	24	the	the	DET
ejpam-6490	479	25	root	root	NOUN
ejpam-6490	479	26	implying	implying	ADJ
ejpam-6490	479	27	decaying	decay	VERB
ejpam-6490	479	28	,	,	PUNCT
ejpam-6490	479	29	resulting	result	VERB
ejpam-6490	479	30	in	in	ADP
ejpam-6490	479	31	overall	overall	ADJ
ejpam-6490	479	32	instability	instability	NOUN
ejpam-6490	479	33	of	of	ADP
ejpam-6490	479	34	the	the	DET
ejpam-6490	479	35	steady	steady	ADJ
ejpam-6490	479	36	state	state	NOUN
ejpam-6490	479	37	.	.	PUNCT
ejpam-6490	480	1	•	•	NUM
ejpam-6490	480	2	linearly	linearly	ADV
ejpam-6490	480	3	(	(	PUNCT
ejpam-6490	480	4	neutrally	neutrally	ADV
ejpam-6490	480	5	)	)	PUNCT
ejpam-6490	480	6	stable	stable	ADJ
ejpam-6490	480	7	if	if	SCONJ
ejpam-6490	480	8	∆(m	∆(m	PROPN
ejpam-6490	480	9	,	,	PUNCT
ejpam-6490	480	10	r	r	NOUN
ejpam-6490	480	11	,	,	PUNCT
ejpam-6490	480	12	f	f	PROPN
ejpam-6490	480	13	)	)	PUNCT
ejpam-6490	480	14	≥	≥	NOUN
ejpam-6490	480	15	0	0	NUM
ejpam-6490	480	16	for	for	ADP
ejpam-6490	480	17	all	all	DET
ejpam-6490	480	18	real	real	ADJ
ejpam-6490	480	19	wave	wave	NOUN
ejpam-6490	480	20	numbers	number	NOUN
ejpam-6490	480	21	(	(	PUNCT
ejpam-6490	480	22	m	m	NOUN
ejpam-6490	480	23	,	,	PUNCT
ejpam-6490	480	24	r	r	NOUN
ejpam-6490	480	25	,	,	PUNCT
ejpam-6490	480	26	f	f	PROPN
ejpam-6490	480	27	)	)	PUNCT
ejpam-6490	480	28	.	.	PUNCT
ejpam-6490	481	1	then	then	ADV
ejpam-6490	481	2	,	,	PUNCT
ejpam-6490	481	3	all	all	DET
ejpam-6490	481	4	perturbations	perturbation	NOUN
ejpam-6490	481	5	are	be	AUX
ejpam-6490	481	6	purely	purely	ADV
ejpam-6490	481	7	oscillatory	oscillatory	ADJ
ejpam-6490	481	8	and	and	CCONJ
ejpam-6490	481	9	remain	remain	VERB
ejpam-6490	481	10	bounded	bounded	ADJ
ejpam-6490	481	11	for	for	ADP
ejpam-6490	481	12	all	all	DET
ejpam-6490	481	13	time	time	NOUN
ejpam-6490	481	14	,	,	PUNCT
ejpam-6490	481	15	but	but	CCONJ
ejpam-6490	481	16	they	they	PRON
ejpam-6490	481	17	do	do	AUX
ejpam-6490	481	18	not	not	PART
ejpam-6490	481	19	decay	decay	VERB
ejpam-6490	481	20	.	.	PUNCT
ejpam-6490	482	1	this	this	DET
ejpam-6490	482	2	analysis	analysis	NOUN
ejpam-6490	482	3	shows	show	VERB
ejpam-6490	482	4	that	that	SCONJ
ejpam-6490	482	5	for	for	ADP
ejpam-6490	482	6	linear	linear	ADJ
ejpam-6490	482	7	stability	stability	NOUN
ejpam-6490	482	8	(	(	PUNCT
ejpam-6490	482	9	i.e.	i.e.	X
ejpam-6490	482	10	,	,	PUNCT
ejpam-6490	482	11	decay	decay	NOUN
ejpam-6490	482	12	of	of	ADP
ejpam-6490	482	13	perturbations	perturbation	NOUN
ejpam-6490	482	14	)	)	PUNCT
ejpam-6490	482	15	,	,	PUNCT
ejpam-6490	482	16	one	one	PRON
ejpam-6490	482	17	would	would	AUX
ejpam-6490	482	18	require	require	VERB
ejpam-6490	482	19	wim	wim	PROPN
ejpam-6490	482	20	<	<	X
ejpam-6490	482	21	0	0	NUM
ejpam-6490	482	22	for	for	ADP
ejpam-6490	482	23	all	all	DET
ejpam-6490	482	24	modes	mode	NOUN
ejpam-6490	482	25	,	,	PUNCT
ejpam-6490	482	26	which	which	PRON
ejpam-6490	482	27	does	do	AUX
ejpam-6490	482	28	not	not	PART
ejpam-6490	482	29	occur	occur	VERB
ejpam-6490	482	30	in	in	ADP
ejpam-6490	482	31	the	the	DET
ejpam-6490	482	32	current	current	ADJ
ejpam-6490	482	33	conservative	conservative	ADJ
ejpam-6490	482	34	system	system	NOUN
ejpam-6490	482	35	.	.	PUNCT
ejpam-6490	483	1	therefore	therefore	ADV
ejpam-6490	483	2	,	,	PUNCT
ejpam-6490	483	3	at	at	ADP
ejpam-6490	483	4	best	good	ADJ
ejpam-6490	483	5	,	,	PUNCT
ejpam-6490	483	6	the	the	DET
ejpam-6490	483	7	steady	steady	ADJ
ejpam-6490	483	8	state	state	NOUN
ejpam-6490	483	9	is	be	AUX
ejpam-6490	483	10	marginally	marginally	ADV
ejpam-6490	483	11	(	(	PUNCT
ejpam-6490	483	12	neutrally	neutrally	ADV
ejpam-6490	483	13	)	)	PUNCT
ejpam-6490	483	14	stable	stable	ADJ
ejpam-6490	483	15	when	when	SCONJ
ejpam-6490	483	16	∆	∆	PROPN
ejpam-6490	483	17	≥	≥	X
ejpam-6490	483	18	0	0	NUM
ejpam-6490	483	19	for	for	ADP
ejpam-6490	483	20	all	all	DET
ejpam-6490	483	21	modes	mode	NOUN
ejpam-6490	483	22	.	.	PUNCT
ejpam-6490	484	1	7	7	X
ejpam-6490	484	2	.	.	X
ejpam-6490	484	3	conclusions	conclusion	NOUN
ejpam-6490	484	4	this	this	DET
ejpam-6490	484	5	investigation	investigation	NOUN
ejpam-6490	484	6	was	be	AUX
ejpam-6490	484	7	conducted	conduct	VERB
ejpam-6490	484	8	of	of	ADP
ejpam-6490	484	9	the	the	DET
ejpam-6490	484	10	(	(	PUNCT
ejpam-6490	484	11	3	3	NUM
ejpam-6490	484	12	+	+	NOUN
ejpam-6490	484	13	1)-dimensional	1)-dimensional	ADJ
ejpam-6490	484	14	boussinesq	boussinesq	ADJ
ejpam-6490	484	15	-	-	PUNCT
ejpam-6490	484	16	kp	kp	ADJ
ejpam-6490	484	17	-	-	PUNCT
ejpam-6490	484	18	type	type	NOUN
ejpam-6490	484	19	equation	equation	NOUN
ejpam-6490	484	20	,	,	PUNCT
ejpam-6490	484	21	which	which	PRON
ejpam-6490	484	22	is	be	AUX
ejpam-6490	484	23	commonly	commonly	ADV
ejpam-6490	484	24	employed	employ	VERB
ejpam-6490	484	25	in	in	ADP
ejpam-6490	484	26	models	model	NOUN
ejpam-6490	484	27	of	of	ADP
ejpam-6490	484	28	physical	physical	ADJ
ejpam-6490	484	29	phenomena	phenomenon	NOUN
ejpam-6490	484	30	such	such	ADJ
ejpam-6490	484	31	as	as	ADP
ejpam-6490	484	32	fluid	fluid	ADJ
ejpam-6490	484	33	dynamics	dynamic	NOUN
ejpam-6490	484	34	,	,	PUNCT
ejpam-6490	484	35	physics	physics	NOUN
ejpam-6490	484	36	,	,	PUNCT
ejpam-6490	484	37	hydrodynamic	hydrodynamic	ADJ
ejpam-6490	484	38	models	model	NOUN
ejpam-6490	484	39	,	,	PUNCT
ejpam-6490	484	40	and	and	CCONJ
ejpam-6490	484	41	optical	optical	ADJ
ejpam-6490	484	42	mathematical	mathematical	ADJ
ejpam-6490	484	43	models	model	NOUN
ejpam-6490	484	44	.	.	PUNCT
ejpam-6490	485	1	this	this	DET
ejpam-6490	485	2	equation	equation	NOUN
ejpam-6490	485	3	is	be	AUX
ejpam-6490	485	4	more	more	ADV
ejpam-6490	485	5	accurate	accurate	ADJ
ejpam-6490	485	6	than	than	ADP
ejpam-6490	485	7	either	either	CCONJ
ejpam-6490	485	8	the	the	DET
ejpam-6490	485	9	w.	w.	PROPN
ejpam-6490	485	10	w.	w.	PROPN
ejpam-6490	485	11	mohammed	mohammed	PROPN
ejpam-6490	485	12	et	et	PROPN
ejpam-6490	485	13	al	al	PROPN
ejpam-6490	485	14	.	.	PUNCT
ejpam-6490	485	15	/	/	SYM
ejpam-6490	485	16	eur	eur	PROPN
ejpam-6490	485	17	.	.	PUNCT
ejpam-6490	486	1	j.	j.	PROPN
ejpam-6490	486	2	pure	pure	PROPN
ejpam-6490	486	3	appl	appl	PROPN
ejpam-6490	486	4	.	.	PROPN
ejpam-6490	486	5	math	math	PROPN
ejpam-6490	486	6	,	,	PUNCT
ejpam-6490	486	7	18	18	NUM
ejpam-6490	486	8	(	(	PUNCT
ejpam-6490	486	9	3	3	NUM
ejpam-6490	486	10	)	)	PUNCT
ejpam-6490	486	11	(	(	PUNCT
ejpam-6490	486	12	2025	2025	NUM
ejpam-6490	486	13	)	)	PUNCT
ejpam-6490	486	14	,	,	PUNCT
ejpam-6490	486	15	6490	6490	NUM
ejpam-6490	486	16	19	19	NUM
ejpam-6490	486	17	of	of	ADP
ejpam-6490	486	18	23	23	NUM
ejpam-6490	486	19	(	(	PUNCT
ejpam-6490	486	20	a	a	NOUN
ejpam-6490	486	21	)	)	PUNCT
ejpam-6490	486	22	neutrally	neutrally	ADV
ejpam-6490	486	23	stable	stable	ADJ
ejpam-6490	486	24	case	case	NOUN
ejpam-6490	486	25	(	(	PUNCT
ejpam-6490	486	26	b	b	NOUN
ejpam-6490	486	27	)	)	PUNCT
ejpam-6490	486	28	instability	instability	NOUN
ejpam-6490	486	29	case	case	NOUN
ejpam-6490	486	30	figure	figure	NOUN
ejpam-6490	486	31	6	6	NUM
ejpam-6490	486	32	:	:	PUNCT
ejpam-6490	486	33	representing	represent	VERB
ejpam-6490	486	34	the	the	DET
ejpam-6490	486	35	neutrally	neutrally	ADV
ejpam-6490	486	36	stable	stable	ADJ
ejpam-6490	486	37	and	and	CCONJ
ejpam-6490	486	38	instability	instability	NOUN
ejpam-6490	486	39	cases	case	NOUN
ejpam-6490	486	40	for	for	ADP
ejpam-6490	486	41	different	different	ADJ
ejpam-6490	486	42	values	value	NOUN
ejpam-6490	486	43	of	of	ADP
ejpam-6490	486	44	λ	λ	PROPN
ejpam-6490	486	45	kpe	kpe	ADJ
ejpam-6490	486	46	or	or	CCONJ
ejpam-6490	486	47	boussinesq	boussinesq	ADJ
ejpam-6490	486	48	-	-	PUNCT
ejpam-6490	486	49	type	type	NOUN
ejpam-6490	486	50	equation	equation	NOUN
ejpam-6490	486	51	,	,	PUNCT
ejpam-6490	486	52	each	each	PRON
ejpam-6490	486	53	separately	separately	ADV
ejpam-6490	486	54	,	,	PUNCT
ejpam-6490	486	55	for	for	ADP
ejpam-6490	486	56	the	the	DET
ejpam-6490	486	57	traveling	travel	VERB
ejpam-6490	486	58	waves	wave	NOUN
ejpam-6490	486	59	.	.	PUNCT
ejpam-6490	487	1	a	a	DET
ejpam-6490	487	2	well	well	ADV
ejpam-6490	487	3	-	-	PUNCT
ejpam-6490	487	4	known	know	VERB
ejpam-6490	487	5	analytical	analytical	ADJ
ejpam-6490	487	6	method	method	NOUN
ejpam-6490	487	7	,	,	PUNCT
ejpam-6490	487	8	the	the	DET
ejpam-6490	487	9	ime	ime	ADJ
ejpam-6490	487	10	tanh	tanh	NOUN
ejpam-6490	487	11	-	-	PUNCT
ejpam-6490	487	12	function	function	NOUN
ejpam-6490	487	13	algorithm	algorithm	NOUN
ejpam-6490	487	14	,	,	PUNCT
ejpam-6490	487	15	was	be	AUX
ejpam-6490	487	16	applied	apply	VERB
ejpam-6490	487	17	,	,	PUNCT
ejpam-6490	487	18	for	for	ADP
ejpam-6490	487	19	which	which	PRON
ejpam-6490	487	20	multi	multi	ADJ
ejpam-6490	487	21	-	-	ADJ
ejpam-6490	487	22	soliton	soliton	ADJ
ejpam-6490	487	23	solutions	solution	NOUN
ejpam-6490	487	24	and	and	CCONJ
ejpam-6490	487	25	other	other	ADJ
ejpam-6490	487	26	solutions	solution	NOUN
ejpam-6490	487	27	were	be	AUX
ejpam-6490	487	28	obtained	obtain	VERB
ejpam-6490	487	29	.	.	PUNCT
ejpam-6490	488	1	the	the	DET
ejpam-6490	488	2	resulting	result	VERB
ejpam-6490	488	3	solutions	solution	NOUN
ejpam-6490	488	4	included	include	VERB
ejpam-6490	488	5	dark	dark	ADJ
ejpam-6490	488	6	,	,	PUNCT
ejpam-6490	488	7	bright	bright	ADJ
ejpam-6490	488	8	,	,	PUNCT
ejpam-6490	488	9	and	and	CCONJ
ejpam-6490	488	10	singular	singular	ADJ
ejpam-6490	488	11	solitons	soliton	NOUN
ejpam-6490	488	12	,	,	PUNCT
ejpam-6490	488	13	singular	singular	ADJ
ejpam-6490	488	14	periodic	periodic	ADJ
ejpam-6490	488	15	solutions	solution	NOUN
ejpam-6490	488	16	,	,	PUNCT
ejpam-6490	488	17	jefss	jefss	ADJ
ejpam-6490	488	18	,	,	PUNCT
ejpam-6490	488	19	rational	rational	ADJ
ejpam-6490	488	20	solutions	solution	NOUN
ejpam-6490	488	21	,	,	PUNCT
ejpam-6490	488	22	exponential	exponential	ADJ
ejpam-6490	488	23	solutions	solution	NOUN
ejpam-6490	488	24	,	,	PUNCT
ejpam-6490	488	25	moreover	moreover	ADV
ejpam-6490	488	26	weierstrass	weierstrass	NOUN
ejpam-6490	488	27	elliptic	elliptic	ADJ
ejpam-6490	488	28	doubly	doubly	ADV
ejpam-6490	488	29	periodic	periodic	ADJ
ejpam-6490	488	30	solutions	solution	NOUN
ejpam-6490	488	31	.	.	PUNCT
ejpam-6490	489	1	this	this	DET
ejpam-6490	489	2	study	study	NOUN
ejpam-6490	489	3	offered	offer	VERB
ejpam-6490	489	4	a	a	DET
ejpam-6490	489	5	comprehensive	comprehensive	ADJ
ejpam-6490	489	6	explanation	explanation	NOUN
ejpam-6490	489	7	for	for	ADP
ejpam-6490	489	8	numerous	numerous	ADJ
ejpam-6490	489	9	intricate	intricate	ADJ
ejpam-6490	489	10	and	and	CCONJ
ejpam-6490	489	11	nonlinear	nonlinear	ADJ
ejpam-6490	489	12	phenomena	phenomenon	NOUN
ejpam-6490	489	13	that	that	PRON
ejpam-6490	489	14	emerge	emerge	VERB
ejpam-6490	489	15	and	and	CCONJ
ejpam-6490	489	16	spread	spread	VERB
ejpam-6490	489	17	throughout	throughout	ADP
ejpam-6490	489	18	a	a	DET
ejpam-6490	489	19	variety	variety	NOUN
ejpam-6490	489	20	of	of	ADP
ejpam-6490	489	21	nonlinear	nonlinear	ADJ
ejpam-6490	489	22	physical	physical	ADJ
ejpam-6490	489	23	and	and	CCONJ
ejpam-6490	489	24	engineering	engineering	NOUN
ejpam-6490	489	25	systems	system	NOUN
ejpam-6490	489	26	,	,	PUNCT
ejpam-6490	489	27	particularly	particularly	ADV
ejpam-6490	489	28	the	the	DET
ejpam-6490	489	29	nonlinear	nonlinear	ADJ
ejpam-6490	489	30	phenomena	phenomenon	NOUN
ejpam-6490	489	31	found	find	VERB
ejpam-6490	489	32	in	in	ADP
ejpam-6490	489	33	fluid	fluid	ADJ
ejpam-6490	489	34	mechanics	mechanic	NOUN
ejpam-6490	489	35	,	,	PUNCT
ejpam-6490	489	36	seas	sea	NOUN
ejpam-6490	489	37	,	,	PUNCT
ejpam-6490	489	38	and	and	CCONJ
ejpam-6490	489	39	oceans	ocean	NOUN
ejpam-6490	489	40	,	,	PUNCT
ejpam-6490	489	41	not	not	PART
ejpam-6490	489	42	to	to	PART
ejpam-6490	489	43	mention	mention	VERB
ejpam-6490	489	44	the	the	DET
ejpam-6490	489	45	abundance	abundance	NOUN
ejpam-6490	489	46	of	of	ADP
ejpam-6490	489	47	nonlinear	nonlinear	ADJ
ejpam-6490	489	48	phenomena	phenomenon	NOUN
ejpam-6490	489	49	found	find	VERB
ejpam-6490	489	50	in	in	ADP
ejpam-6490	489	51	plasma	plasma	NOUN
ejpam-6490	489	52	physics	physics	NOUN
ejpam-6490	489	53	.	.	PUNCT
ejpam-6490	490	1	in	in	ADP
ejpam-6490	490	2	contrast	contrast	NOUN
ejpam-6490	490	3	to	to	ADP
ejpam-6490	490	4	other	other	ADJ
ejpam-6490	490	5	approaches	approach	NOUN
ejpam-6490	490	6	,	,	PUNCT
ejpam-6490	490	7	the	the	DET
ejpam-6490	490	8	strategy	strategy	NOUN
ejpam-6490	490	9	of	of	ADP
ejpam-6490	490	10	this	this	DET
ejpam-6490	490	11	study	study	NOUN
ejpam-6490	490	12	provided	provide	VERB
ejpam-6490	490	13	new	new	ADJ
ejpam-6490	490	14	insights	insight	NOUN
ejpam-6490	490	15	into	into	ADP
ejpam-6490	490	16	the	the	DET
ejpam-6490	490	17	issues	issue	NOUN
ejpam-6490	490	18	with	with	ADP
ejpam-6490	490	19	this	this	DET
ejpam-6490	490	20	model	model	NOUN
ejpam-6490	490	21	’s	’s	PART
ejpam-6490	490	22	problems	problem	NOUN
ejpam-6490	490	23	.	.	PUNCT
ejpam-6490	491	1	this	this	DET
ejpam-6490	491	2	study	study	NOUN
ejpam-6490	491	3	was	be	AUX
ejpam-6490	491	4	potentially	potentially	ADV
ejpam-6490	491	5	expanded	expand	VERB
ejpam-6490	491	6	to	to	PART
ejpam-6490	491	7	investigate	investigate	VERB
ejpam-6490	491	8	soliton	soliton	NOUN
ejpam-6490	491	9	dynamics	dynamic	NOUN
ejpam-6490	491	10	in	in	ADP
ejpam-6490	491	11	multi	multi	ADJ
ejpam-6490	491	12	-	-	ADJ
ejpam-6490	491	13	dimensional	dimensional	ADJ
ejpam-6490	491	14	systems	system	NOUN
ejpam-6490	491	15	,	,	PUNCT
ejpam-6490	491	16	as	as	SCONJ
ejpam-6490	491	17	it	it	PRON
ejpam-6490	491	18	became	become	VERB
ejpam-6490	491	19	easier	easy	ADJ
ejpam-6490	491	20	to	to	PART
ejpam-6490	491	21	examine	examine	VERB
ejpam-6490	491	22	through	through	ADP
ejpam-6490	491	23	the	the	DET
ejpam-6490	491	24	offered	offer	VERB
ejpam-6490	491	25	2d	2d	NOUN
ejpam-6490	491	26	,	,	PUNCT
ejpam-6490	491	27	3d	3d	NUM
ejpam-6490	491	28	,	,	PUNCT
ejpam-6490	491	29	and	and	CCONJ
ejpam-6490	491	30	contour	contour	NOUN
ejpam-6490	491	31	graphs	graph	NOUN
ejpam-6490	491	32	for	for	ADP
ejpam-6490	491	33	some	some	PRON
ejpam-6490	491	34	of	of	ADP
ejpam-6490	491	35	the	the	DET
ejpam-6490	491	36	retrieved	retrieve	VERB
ejpam-6490	491	37	solutions	solution	NOUN
ejpam-6490	491	38	.	.	PUNCT
ejpam-6490	492	1	furthermore	furthermore	ADV
ejpam-6490	492	2	,	,	PUNCT
ejpam-6490	492	3	a	a	DET
ejpam-6490	492	4	linear	linear	ADJ
ejpam-6490	492	5	stability	stability	NOUN
ejpam-6490	492	6	assessment	assessment	NOUN
ejpam-6490	492	7	is	be	AUX
ejpam-6490	492	8	conducted	conduct	VERB
ejpam-6490	492	9	to	to	PART
ejpam-6490	492	10	examine	examine	VERB
ejpam-6490	492	11	the	the	DET
ejpam-6490	492	12	robustness	robustness	NOUN
ejpam-6490	492	13	and	and	CCONJ
ejpam-6490	492	14	persistence	persistence	NOUN
ejpam-6490	492	15	of	of	ADP
ejpam-6490	492	16	the	the	DET
ejpam-6490	492	17	derived	derive	VERB
ejpam-6490	492	18	solutions	solution	NOUN
ejpam-6490	492	19	under	under	ADP
ejpam-6490	492	20	small	small	ADJ
ejpam-6490	492	21	perturbations	perturbation	NOUN
ejpam-6490	492	22	.	.	PUNCT
ejpam-6490	493	1	acknowledgements	acknowledgement	NOUN
ejpam-6490	493	2	this	this	DET
ejpam-6490	493	3	research	research	NOUN
ejpam-6490	493	4	has	have	AUX
ejpam-6490	493	5	been	be	AUX
ejpam-6490	493	6	funded	fund	VERB
ejpam-6490	493	7	by	by	ADP
ejpam-6490	493	8	scientific	scientific	ADJ
ejpam-6490	493	9	research	research	NOUN
ejpam-6490	493	10	deanship	deanship	NOUN
ejpam-6490	493	11	at	at	ADP
ejpam-6490	493	12	the	the	DET
ejpam-6490	493	13	university	university	NOUN
ejpam-6490	493	14	of	of	ADP
ejpam-6490	493	15	ha’il	ha’il	PROPN
ejpam-6490	493	16	-	-	PUNCT
ejpam-6490	493	17	saudi	saudi	PROPN
ejpam-6490	493	18	arabia	arabia	PROPN
ejpam-6490	493	19	through	through	ADP
ejpam-6490	493	20	project	project	NOUN
ejpam-6490	493	21	number	number	NOUN
ejpam-6490	493	22	rg-25005	rg-25005	NOUN
ejpam-6490	493	23	.	.	PUNCT
ejpam-6490	494	1	w.	w.	PROPN
ejpam-6490	494	2	w.	w.	PROPN
ejpam-6490	494	3	mohammed	mohammed	PROPN
ejpam-6490	494	4	et	et	PROPN
ejpam-6490	494	5	al	al	PROPN
ejpam-6490	494	6	.	.	PUNCT
ejpam-6490	494	7	/	/	SYM
ejpam-6490	494	8	eur	eur	PROPN
ejpam-6490	494	9	.	.	PUNCT
ejpam-6490	495	1	j.	j.	PROPN
ejpam-6490	495	2	pure	pure	PROPN
ejpam-6490	495	3	appl	appl	PROPN
ejpam-6490	495	4	.	.	PROPN
ejpam-6490	495	5	math	math	PROPN
ejpam-6490	495	6	,	,	PUNCT
ejpam-6490	495	7	18	18	NUM
ejpam-6490	495	8	(	(	PUNCT
ejpam-6490	495	9	3	3	NUM
ejpam-6490	495	10	)	)	PUNCT
ejpam-6490	495	11	(	(	PUNCT
ejpam-6490	495	12	2025	2025	NUM
ejpam-6490	495	13	)	)	PUNCT
ejpam-6490	495	14	,	,	PUNCT
ejpam-6490	495	15	6490	6490	NUM
ejpam-6490	495	16	20	20	NUM
ejpam-6490	495	17	of	of	ADP
ejpam-6490	495	18	23	23	NUM
ejpam-6490	495	19	references	reference	NOUN
ejpam-6490	495	20	[	[	X
ejpam-6490	495	21	1	1	NUM
ejpam-6490	495	22	]	]	X
ejpam-6490	495	23	bang	bang	PROPN
ejpam-6490	495	24	-	-	PUNCT
ejpam-6490	495	25	qing	qing	PROPN
ejpam-6490	495	26	li	li	PROPN
ejpam-6490	495	27	,	,	PUNCT
ejpam-6490	495	28	abdul	abdul	PROPN
ejpam-6490	495	29	-	-	PUNCT
ejpam-6490	495	30	majid	majid	PROPN
ejpam-6490	495	31	wazwaz	wazwaz	NOUN
ejpam-6490	495	32	,	,	PUNCT
ejpam-6490	495	33	and	and	CCONJ
ejpam-6490	495	34	yu	yu	PROPN
ejpam-6490	495	35	-	-	PROPN
ejpam-6490	495	36	lan	lan	PROPN
ejpam-6490	495	37	ma	ma	PROPN
ejpam-6490	495	38	.	.	PROPN
ejpam-6490	496	1	two	two	NUM
ejpam-6490	496	2	new	new	ADJ
ejpam-6490	496	3	types	type	NOUN
ejpam-6490	496	4	of	of	ADP
ejpam-6490	496	5	nonlocal	nonlocal	ADJ
ejpam-6490	496	6	boussinesq	boussinesq	ADJ
ejpam-6490	496	7	equations	equation	NOUN
ejpam-6490	496	8	in	in	ADP
ejpam-6490	496	9	water	water	NOUN
ejpam-6490	496	10	waves	wave	NOUN
ejpam-6490	496	11	:	:	PUNCT
ejpam-6490	496	12	bright	bright	ADJ
ejpam-6490	496	13	and	and	CCONJ
ejpam-6490	496	14	dark	dark	ADJ
ejpam-6490	496	15	soliton	soliton	NOUN
ejpam-6490	496	16	solutions	solution	NOUN
ejpam-6490	496	17	.	.	PUNCT
ejpam-6490	497	1	chinese	chinese	ADJ
ejpam-6490	497	2	journal	journal	PROPN
ejpam-6490	497	3	of	of	ADP
ejpam-6490	497	4	physics	physics	PROPN
ejpam-6490	497	5	,	,	PUNCT
ejpam-6490	497	6	77:1782–1788	77:1782–1788	NUM
ejpam-6490	497	7	,	,	PUNCT
ejpam-6490	497	8	2022	2022	NUM
ejpam-6490	497	9	.	.	PUNCT
ejpam-6490	498	1	[	[	X
ejpam-6490	498	2	2	2	NUM
ejpam-6490	498	3	]	]	X
ejpam-6490	498	4	gui	gui	NOUN
ejpam-6490	498	5	-	-	PUNCT
ejpam-6490	498	6	qiong	qiong	NOUN
ejpam-6490	498	7	xu	xu	PROPN
ejpam-6490	498	8	and	and	CCONJ
ejpam-6490	498	9	abdul	abdul	PROPN
ejpam-6490	498	10	-	-	PUNCT
ejpam-6490	498	11	majid	majid	PROPN
ejpam-6490	498	12	wazwaz	wazwaz	NOUN
ejpam-6490	498	13	.	.	PUNCT
ejpam-6490	499	1	a	a	DET
ejpam-6490	499	2	new	new	ADJ
ejpam-6490	499	3	(	(	PUNCT
ejpam-6490	499	4	n+	n+	NUM
ejpam-6490	499	5	1)-dimensional	1)-dimensional	NUM
ejpam-6490	499	6	generalized	generalized	ADJ
ejpam-6490	499	7	kadomtsev	kadomtsev	VERB
ejpam-6490	499	8	–	–	PUNCT
ejpam-6490	499	9	petviashvili	petviashvili	NOUN
ejpam-6490	499	10	equation	equation	NOUN
ejpam-6490	499	11	:	:	PUNCT
ejpam-6490	499	12	integrability	integrability	NOUN
ejpam-6490	499	13	characteristics	characteristic	NOUN
ejpam-6490	499	14	and	and	CCONJ
ejpam-6490	499	15	localized	localized	ADJ
ejpam-6490	499	16	solutions	solution	NOUN
ejpam-6490	499	17	.	.	PUNCT
ejpam-6490	500	1	nonlinear	nonlinear	ADJ
ejpam-6490	500	2	dynamics	dynamic	NOUN
ejpam-6490	500	3	,	,	PUNCT
ejpam-6490	500	4	111(10):9495–9507	111(10):9495–9507	NUM
ejpam-6490	500	5	,	,	PUNCT
ejpam-6490	500	6	2023	2023	NUM
ejpam-6490	500	7	.	.	PUNCT
ejpam-6490	501	1	[	[	X
ejpam-6490	501	2	3	3	X
ejpam-6490	501	3	]	]	X
ejpam-6490	501	4	karim	karim	PROPN
ejpam-6490	501	5	k	k	PROPN
ejpam-6490	501	6	ahmed	ahmed	PROPN
ejpam-6490	501	7	,	,	PUNCT
ejpam-6490	501	8	niveen	niveen	NOUN
ejpam-6490	501	9	m	m	NOUN
ejpam-6490	501	10	badra	badra	PROPN
ejpam-6490	501	11	,	,	PUNCT
ejpam-6490	501	12	hamdy	hamdy	PROPN
ejpam-6490	501	13	m	m	PROPN
ejpam-6490	501	14	ahmed	ahme	VERB
ejpam-6490	501	15	,	,	PUNCT
ejpam-6490	501	16	and	and	CCONJ
ejpam-6490	501	17	wafaa	wafaa	PROPN
ejpam-6490	501	18	b	b	PROPN
ejpam-6490	501	19	rabie	rabie	PROPN
ejpam-6490	501	20	.	.	PUNCT
ejpam-6490	502	1	unveiling	unveil	VERB
ejpam-6490	502	2	optical	optical	ADJ
ejpam-6490	502	3	solitons	soliton	NOUN
ejpam-6490	502	4	and	and	CCONJ
ejpam-6490	502	5	other	other	ADJ
ejpam-6490	502	6	solutions	solution	NOUN
ejpam-6490	502	7	for	for	ADP
ejpam-6490	502	8	fourth	fourth	ADJ
ejpam-6490	502	9	-	-	PUNCT
ejpam-6490	502	10	order	order	NOUN
ejpam-6490	502	11	(	(	PUNCT
ejpam-6490	502	12	2	2	NUM
ejpam-6490	502	13	+	+	NUM
ejpam-6490	502	14	1)-dimensional	1)-dimensional	NUM
ejpam-6490	502	15	nonlinear	nonlinear	ADJ
ejpam-6490	502	16	schrödinger	schrödinger	NOUN
ejpam-6490	502	17	equation	equation	NOUN
ejpam-6490	502	18	by	by	ADP
ejpam-6490	502	19	modified	modify	VERB
ejpam-6490	502	20	extended	extend	VERB
ejpam-6490	502	21	direct	direct	ADJ
ejpam-6490	502	22	algebraic	algebraic	ADJ
ejpam-6490	502	23	method	method	NOUN
ejpam-6490	502	24	.	.	PUNCT
ejpam-6490	503	1	journal	journal	NOUN
ejpam-6490	503	2	of	of	ADP
ejpam-6490	503	3	optics	optic	NOUN
ejpam-6490	503	4	,	,	PUNCT
ejpam-6490	503	5	pages	page	NOUN
ejpam-6490	503	6	1–13	1–13	NOUN
ejpam-6490	503	7	,	,	PUNCT
ejpam-6490	503	8	2024	2024	NUM
ejpam-6490	503	9	.	.	PUNCT
ejpam-6490	504	1	[	[	X
ejpam-6490	504	2	4	4	NUM
ejpam-6490	504	3	]	]	PUNCT
ejpam-6490	504	4	sa	sa	X
ejpam-6490	504	5	khuri	khuri	PROPN
ejpam-6490	504	6	and	and	CCONJ
ejpam-6490	504	7	abdul	abdul	PROPN
ejpam-6490	504	8	-	-	PUNCT
ejpam-6490	504	9	majid	majid	PROPN
ejpam-6490	504	10	wazwaz	wazwaz	NOUN
ejpam-6490	504	11	.	.	PUNCT
ejpam-6490	505	1	optical	optical	ADJ
ejpam-6490	505	2	solitons	soliton	NOUN
ejpam-6490	505	3	and	and	CCONJ
ejpam-6490	505	4	traveling	travel	VERB
ejpam-6490	505	5	wave	wave	NOUN
ejpam-6490	505	6	solutions	solution	NOUN
ejpam-6490	505	7	to	to	ADP
ejpam-6490	505	8	kudryashov	kudryashov	PROPN
ejpam-6490	505	9	’s	’s	PART
ejpam-6490	505	10	equation	equation	NOUN
ejpam-6490	505	11	.	.	PUNCT
ejpam-6490	506	1	optik	optik	PROPN
ejpam-6490	506	2	,	,	PUNCT
ejpam-6490	506	3	279:170741	279:170741	NUM
ejpam-6490	506	4	,	,	PUNCT
ejpam-6490	506	5	2023	2023	NUM
ejpam-6490	506	6	.	.	PUNCT
ejpam-6490	507	1	[	[	X
ejpam-6490	507	2	5	5	X
ejpam-6490	507	3	]	]	PUNCT
ejpam-6490	507	4	muhammad	muhammad	PROPN
ejpam-6490	507	5	amin	amin	PROPN
ejpam-6490	507	6	s	s	PROPN
ejpam-6490	507	7	murad	murad	PROPN
ejpam-6490	507	8	,	,	PUNCT
ejpam-6490	507	9	mohammed	mohammed	PROPN
ejpam-6490	507	10	a	a	DET
ejpam-6490	507	11	mustafa	mustafa	PROPN
ejpam-6490	507	12	,	,	PUNCT
ejpam-6490	507	13	usman	usman	PROPN
ejpam-6490	507	14	younas	younas	PROPN
ejpam-6490	507	15	,	,	PUNCT
ejpam-6490	507	16	homan	homan	PROPN
ejpam-6490	507	17	emadifar	emadifar	PROPN
ejpam-6490	507	18	,	,	PUNCT
ejpam-6490	507	19	abeer	abeer	PROPN
ejpam-6490	507	20	s	s	PART
ejpam-6490	507	21	khalifa	khalifa	PROPN
ejpam-6490	507	22	,	,	PUNCT
ejpam-6490	507	23	wael	wael	PROPN
ejpam-6490	507	24	w	w	PROPN
ejpam-6490	507	25	mohammed	mohammed	PROPN
ejpam-6490	507	26	,	,	PUNCT
ejpam-6490	507	27	and	and	CCONJ
ejpam-6490	507	28	karim	karim	PROPN
ejpam-6490	507	29	k	k	PROPN
ejpam-6490	507	30	ahmed	ahmed	PROPN
ejpam-6490	507	31	.	.	PUNCT
ejpam-6490	508	1	soliton	soliton	NOUN
ejpam-6490	508	2	solutions	solution	NOUN
ejpam-6490	508	3	to	to	ADP
ejpam-6490	508	4	the	the	DET
ejpam-6490	508	5	generalized	generalize	VERB
ejpam-6490	508	6	derivative	derivative	ADJ
ejpam-6490	508	7	nonlinear	nonlinear	NOUN
ejpam-6490	508	8	schrödinger	schrödinger	NOUN
ejpam-6490	508	9	equation	equation	NOUN
ejpam-6490	508	10	under	under	ADP
ejpam-6490	508	11	the	the	DET
ejpam-6490	508	12	effect	effect	NOUN
ejpam-6490	508	13	of	of	ADP
ejpam-6490	508	14	multiplicative	multiplicative	ADJ
ejpam-6490	508	15	white	white	ADJ
ejpam-6490	508	16	noise	noise	NOUN
ejpam-6490	508	17	and	and	CCONJ
ejpam-6490	508	18	conformable	conformable	ADJ
ejpam-6490	508	19	derivative	derivative	ADJ
ejpam-6490	508	20	.	.	PUNCT
ejpam-6490	509	1	scientific	scientific	ADJ
ejpam-6490	509	2	reports	report	NOUN
ejpam-6490	509	3	,	,	PUNCT
ejpam-6490	509	4	15(1):1–15	15(1):1–15	NUM
ejpam-6490	509	5	,	,	PUNCT
ejpam-6490	509	6	2025	2025	NUM
ejpam-6490	509	7	.	.	PUNCT
ejpam-6490	510	1	[	[	X
ejpam-6490	510	2	6	6	NUM
ejpam-6490	510	3	]	]	PUNCT
ejpam-6490	510	4	m	m	VERB
ejpam-6490	510	5	elsaid	elsaid	PROPN
ejpam-6490	510	6	ramadan	ramadan	PROPN
ejpam-6490	510	7	,	,	PUNCT
ejpam-6490	510	8	hamdy	hamdy	PROPN
ejpam-6490	510	9	m	m	PROPN
ejpam-6490	510	10	ahmed	ahme	VERB
ejpam-6490	510	11	,	,	PUNCT
ejpam-6490	510	12	abeer	abeer	PROPN
ejpam-6490	510	13	s	s	PART
ejpam-6490	510	14	khalifa	khalifa	NOUN
ejpam-6490	510	15	,	,	PUNCT
ejpam-6490	510	16	and	and	CCONJ
ejpam-6490	510	17	karim	karim	PROPN
ejpam-6490	510	18	k	k	PROPN
ejpam-6490	510	19	ahmed	ahmed	PROPN
ejpam-6490	510	20	.	.	PUNCT
ejpam-6490	511	1	invariant	invariant	ADJ
ejpam-6490	511	2	solitons	soliton	NOUN
ejpam-6490	511	3	and	and	CCONJ
ejpam-6490	511	4	travelling	travelling	ADJ
ejpam-6490	511	5	-	-	PUNCT
ejpam-6490	511	6	wave	wave	NOUN
ejpam-6490	511	7	solutions	solution	NOUN
ejpam-6490	511	8	to	to	ADP
ejpam-6490	511	9	a	a	DET
ejpam-6490	511	10	higher	high	ADJ
ejpam-6490	511	11	-	-	PUNCT
ejpam-6490	511	12	order	order	NOUN
ejpam-6490	511	13	nonlinear	nonlinear	NOUN
ejpam-6490	511	14	schrödinger	schrödinger	NOUN
ejpam-6490	511	15	equation	equation	NOUN
ejpam-6490	511	16	in	in	ADP
ejpam-6490	511	17	an	an	DET
ejpam-6490	511	18	optical	optical	ADJ
ejpam-6490	511	19	fiber	fiber	NOUN
ejpam-6490	511	20	with	with	ADP
ejpam-6490	511	21	an	an	DET
ejpam-6490	511	22	improved	improved	ADJ
ejpam-6490	511	23	tanh	tanh	NOUN
ejpam-6490	511	24	-	-	PUNCT
ejpam-6490	511	25	function	function	NOUN
ejpam-6490	511	26	algorithm	algorithm	NOUN
ejpam-6490	511	27	.	.	PUNCT
ejpam-6490	512	1	journal	journal	NOUN
ejpam-6490	512	2	of	of	ADP
ejpam-6490	512	3	applied	apply	VERB
ejpam-6490	512	4	analysis	analysis	NOUN
ejpam-6490	512	5	&	&	CCONJ
ejpam-6490	512	6	computation	computation	NOUN
ejpam-6490	512	7	,	,	PUNCT
ejpam-6490	512	8	15(6):3270–3289	15(6):3270–3289	NUM
ejpam-6490	512	9	,	,	PUNCT
ejpam-6490	512	10	2025	2025	NUM
ejpam-6490	512	11	.	.	PUNCT
ejpam-6490	513	1	[	[	X
ejpam-6490	513	2	7	7	X
ejpam-6490	513	3	]	]	X
ejpam-6490	513	4	wafaa	wafaa	PROPN
ejpam-6490	513	5	b	b	PROPN
ejpam-6490	513	6	rabie	rabie	PROPN
ejpam-6490	513	7	,	,	PUNCT
ejpam-6490	513	8	karim	karim	PROPN
ejpam-6490	513	9	k	k	PROPN
ejpam-6490	513	10	ahmed	ahmed	PROPN
ejpam-6490	513	11	,	,	PUNCT
ejpam-6490	513	12	niveen	niveen	NOUN
ejpam-6490	513	13	m	m	NOUN
ejpam-6490	513	14	badra	badra	PROPN
ejpam-6490	513	15	,	,	PUNCT
ejpam-6490	513	16	hamdy	hamdy	PROPN
ejpam-6490	513	17	m	m	PROPN
ejpam-6490	513	18	ahmed	ahme	VERB
ejpam-6490	513	19	,	,	PUNCT
ejpam-6490	513	20	m	m	PROPN
ejpam-6490	513	21	mirzazadeh	mirzazadeh	NOUN
ejpam-6490	513	22	,	,	PUNCT
ejpam-6490	513	23	and	and	CCONJ
ejpam-6490	513	24	m	m	PROPN
ejpam-6490	513	25	eslami	eslami	ADJ
ejpam-6490	513	26	.	.	PUNCT
ejpam-6490	514	1	new	new	ADJ
ejpam-6490	514	2	solitons	soliton	NOUN
ejpam-6490	514	3	and	and	CCONJ
ejpam-6490	514	4	other	other	ADJ
ejpam-6490	514	5	exact	exact	ADJ
ejpam-6490	514	6	wave	wave	NOUN
ejpam-6490	514	7	solutions	solution	NOUN
ejpam-6490	514	8	for	for	ADP
ejpam-6490	514	9	coupled	couple	VERB
ejpam-6490	514	10	system	system	NOUN
ejpam-6490	514	11	of	of	ADP
ejpam-6490	514	12	perturbed	perturb	VERB
ejpam-6490	514	13	highly	highly	ADV
ejpam-6490	514	14	dispersive	dispersive	ADJ
ejpam-6490	514	15	cgle	cgle	NOUN
ejpam-6490	514	16	in	in	ADP
ejpam-6490	514	17	birefringent	birefringent	NOUN
ejpam-6490	514	18	fibers	fiber	NOUN
ejpam-6490	514	19	with	with	ADP
ejpam-6490	514	20	polynomial	polynomial	ADJ
ejpam-6490	514	21	nonlinearity	nonlinearity	NOUN
ejpam-6490	514	22	law	law	NOUN
ejpam-6490	514	23	.	.	PUNCT
ejpam-6490	515	1	optical	optical	ADJ
ejpam-6490	515	2	and	and	CCONJ
ejpam-6490	515	3	quantum	quantum	NOUN
ejpam-6490	515	4	electronics	electronic	NOUN
ejpam-6490	515	5	,	,	PUNCT
ejpam-6490	515	6	56(5):875	56(5):875	NUM
ejpam-6490	515	7	,	,	PUNCT
ejpam-6490	515	8	2024	2024	NUM
ejpam-6490	515	9	.	.	PUNCT
ejpam-6490	516	1	[	[	X
ejpam-6490	516	2	8	8	X
ejpam-6490	516	3	]	]	X
ejpam-6490	516	4	islam	islam	PROPN
ejpam-6490	516	5	samir	samir	PROPN
ejpam-6490	516	6	,	,	PUNCT
ejpam-6490	516	7	hamdy	hamdy	PROPN
ejpam-6490	516	8	m	m	PROPN
ejpam-6490	516	9	ahmed	ahmed	PROPN
ejpam-6490	516	10	,	,	PUNCT
ejpam-6490	516	11	homan	homan	PROPN
ejpam-6490	516	12	emadifar	emadifar	PROPN
ejpam-6490	516	13	,	,	PUNCT
ejpam-6490	516	14	and	and	CCONJ
ejpam-6490	516	15	karim	karim	PROPN
ejpam-6490	516	16	k	k	PROPN
ejpam-6490	516	17	ahmed	ahmed	PROPN
ejpam-6490	516	18	.	.	PUNCT
ejpam-6490	517	1	traveling	travel	VERB
ejpam-6490	517	2	and	and	CCONJ
ejpam-6490	517	3	soliton	soliton	NOUN
ejpam-6490	517	4	waves	wave	NOUN
ejpam-6490	517	5	and	and	CCONJ
ejpam-6490	517	6	their	their	PRON
ejpam-6490	517	7	characteristics	characteristic	NOUN
ejpam-6490	517	8	in	in	ADP
ejpam-6490	517	9	the	the	DET
ejpam-6490	517	10	extended	extended	ADJ
ejpam-6490	517	11	(	(	PUNCT
ejpam-6490	517	12	3	3	NUM
ejpam-6490	517	13	+	+	NUM
ejpam-6490	517	14	1)-dimensional	1)-dimensional	NUM
ejpam-6490	517	15	kadomtsev	kadomtsev	ADJ
ejpam-6490	517	16	–	–	PUNCT
ejpam-6490	517	17	petviashvili	petviashvili	NOUN
ejpam-6490	517	18	equation	equation	NOUN
ejpam-6490	517	19	in	in	ADP
ejpam-6490	517	20	fluid	fluid	NOUN
ejpam-6490	517	21	.	.	PUNCT
ejpam-6490	518	1	partial	partial	ADJ
ejpam-6490	518	2	differential	differential	ADJ
ejpam-6490	518	3	equations	equation	NOUN
ejpam-6490	518	4	in	in	ADP
ejpam-6490	518	5	applied	applied	ADJ
ejpam-6490	518	6	mathematics	mathematic	NOUN
ejpam-6490	518	7	,	,	PUNCT
ejpam-6490	518	8	14:101146	14:101146	NUM
ejpam-6490	518	9	,	,	PUNCT
ejpam-6490	518	10	2025	2025	NUM
ejpam-6490	518	11	.	.	PUNCT
ejpam-6490	519	1	[	[	X
ejpam-6490	519	2	9	9	NUM
ejpam-6490	519	3	]	]	X
ejpam-6490	519	4	abeer	abeer	PROPN
ejpam-6490	519	5	s	s	PROPN
ejpam-6490	519	6	khalifa	khalifa	PROPN
ejpam-6490	519	7	,	,	PUNCT
ejpam-6490	519	8	hamdy	hamdy	PROPN
ejpam-6490	519	9	m	m	PROPN
ejpam-6490	519	10	ahmed	ahme	VERB
ejpam-6490	519	11	,	,	PUNCT
ejpam-6490	519	12	niveen	niveen	NOUN
ejpam-6490	519	13	m	m	NOUN
ejpam-6490	519	14	badra	badra	PROPN
ejpam-6490	519	15	,	,	PUNCT
ejpam-6490	519	16	and	and	CCONJ
ejpam-6490	519	17	wafaa	wafaa	PROPN
ejpam-6490	519	18	b	b	PROPN
ejpam-6490	519	19	rabie	rabie	PROPN
ejpam-6490	519	20	.	.	PUNCT
ejpam-6490	520	1	exploring	explore	VERB
ejpam-6490	520	2	solitons	soliton	NOUN
ejpam-6490	520	3	in	in	ADP
ejpam-6490	520	4	optical	optical	ADJ
ejpam-6490	520	5	twin	twin	ADJ
ejpam-6490	520	6	-	-	PUNCT
ejpam-6490	520	7	core	core	NOUN
ejpam-6490	520	8	couplers	coupler	NOUN
ejpam-6490	520	9	with	with	ADP
ejpam-6490	520	10	kerr	kerr	PROPN
ejpam-6490	520	11	law	law	PROPN
ejpam-6490	520	12	of	of	ADP
ejpam-6490	520	13	nonlinear	nonlinear	PROPN
ejpam-6490	520	14	refractive	refractive	ADJ
ejpam-6490	520	15	index	index	NOUN
ejpam-6490	520	16	using	use	VERB
ejpam-6490	520	17	the	the	DET
ejpam-6490	520	18	modified	modify	VERB
ejpam-6490	520	19	extended	extend	VERB
ejpam-6490	520	20	direct	direct	ADJ
ejpam-6490	520	21	algebraic	algebraic	ADJ
ejpam-6490	520	22	method	method	NOUN
ejpam-6490	520	23	.	.	PUNCT
ejpam-6490	521	1	optical	optical	ADJ
ejpam-6490	521	2	and	and	CCONJ
ejpam-6490	521	3	quantum	quantum	NOUN
ejpam-6490	521	4	electronics	electronic	NOUN
ejpam-6490	521	5	,	,	PUNCT
ejpam-6490	521	6	56(6):1060	56(6):1060	NUM
ejpam-6490	521	7	,	,	PUNCT
ejpam-6490	521	8	2024	2024	NUM
ejpam-6490	521	9	.	.	PUNCT
ejpam-6490	522	1	[	[	X
ejpam-6490	522	2	10	10	NUM
ejpam-6490	522	3	]	]	X
ejpam-6490	522	4	yinshen	yinshen	NOUN
ejpam-6490	522	5	xu	xu	PROPN
ejpam-6490	522	6	,	,	PUNCT
ejpam-6490	522	7	dumitru	dumitru	PROPN
ejpam-6490	522	8	mihalache	mihalache	PROPN
ejpam-6490	522	9	,	,	PUNCT
ejpam-6490	522	10	and	and	CCONJ
ejpam-6490	522	11	jingsong	jingsong	ADJ
ejpam-6490	522	12	he	he	PRON
ejpam-6490	522	13	.	.	PUNCT
ejpam-6490	523	1	resonant	resonant	ADJ
ejpam-6490	523	2	collisions	collision	NOUN
ejpam-6490	523	3	among	among	ADP
ejpam-6490	523	4	twodimensional	twodimensional	ADJ
ejpam-6490	523	5	localized	localize	VERB
ejpam-6490	523	6	waves	wave	NOUN
ejpam-6490	523	7	in	in	ADP
ejpam-6490	523	8	the	the	DET
ejpam-6490	523	9	mel’nikov	mel’nikov	PROPN
ejpam-6490	523	10	equation	equation	NOUN
ejpam-6490	523	11	.	.	PUNCT
ejpam-6490	524	1	nonlinear	nonlinear	ADJ
ejpam-6490	524	2	dynamics	dynamic	NOUN
ejpam-6490	524	3	,	,	PUNCT
ejpam-6490	524	4	106:2431–2448	106:2431–2448	NUM
ejpam-6490	524	5	,	,	PUNCT
ejpam-6490	524	6	2021	2021	NUM
ejpam-6490	524	7	.	.	PUNCT
ejpam-6490	525	1	[	[	X
ejpam-6490	525	2	11	11	NUM
ejpam-6490	525	3	]	]	PUNCT
ejpam-6490	525	4	john	john	PROPN
ejpam-6490	525	5	weiss	weiss	PROPN
ejpam-6490	525	6	.	.	PUNCT
ejpam-6490	526	1	the	the	DET
ejpam-6490	526	2	painlevé	painlevé	NOUN
ejpam-6490	526	3	property	property	NOUN
ejpam-6490	526	4	for	for	ADP
ejpam-6490	526	5	partial	partial	ADJ
ejpam-6490	526	6	differential	differential	ADJ
ejpam-6490	526	7	equations	equation	NOUN
ejpam-6490	526	8	.	.	PUNCT
ejpam-6490	527	1	ii	ii	NOUN
ejpam-6490	527	2	:	:	PUNCT
ejpam-6490	527	3	bäcklund	bäcklund	NOUN
ejpam-6490	527	4	transformation	transformation	NOUN
ejpam-6490	527	5	,	,	PUNCT
ejpam-6490	527	6	lax	lax	ADJ
ejpam-6490	527	7	pairs	pair	NOUN
ejpam-6490	527	8	,	,	PUNCT
ejpam-6490	527	9	and	and	CCONJ
ejpam-6490	527	10	the	the	DET
ejpam-6490	527	11	schwarzian	schwarzian	PROPN
ejpam-6490	527	12	derivative	derivative	PROPN
ejpam-6490	527	13	.	.	PUNCT
ejpam-6490	528	1	journal	journal	PROPN
ejpam-6490	528	2	of	of	ADP
ejpam-6490	528	3	mathematical	mathematical	ADJ
ejpam-6490	528	4	physics	physics	NOUN
ejpam-6490	528	5	,	,	PUNCT
ejpam-6490	528	6	24(6):1405	24(6):1405	NUM
ejpam-6490	528	7	–	–	PUNCT
ejpam-6490	528	8	1413	1413	NUM
ejpam-6490	528	9	,	,	PUNCT
ejpam-6490	528	10	1983	1983	NUM
ejpam-6490	528	11	.	.	PUNCT
ejpam-6490	529	1	[	[	X
ejpam-6490	529	2	12	12	NUM
ejpam-6490	529	3	]	]	X
ejpam-6490	529	4	abdul	abdul	PROPN
ejpam-6490	529	5	-	-	PUNCT
ejpam-6490	529	6	majid	majid	PROPN
ejpam-6490	529	7	wazwaz	wazwaz	NOUN
ejpam-6490	529	8	.	.	PUNCT
ejpam-6490	530	1	partial	partial	ADJ
ejpam-6490	530	2	differential	differential	ADJ
ejpam-6490	530	3	equations	equation	NOUN
ejpam-6490	530	4	.	.	PUNCT
ejpam-6490	531	1	crc	crc	PROPN
ejpam-6490	531	2	press	press	PROPN
ejpam-6490	531	3	,	,	PUNCT
ejpam-6490	531	4	2002	2002	NUM
ejpam-6490	531	5	.	.	PUNCT
ejpam-6490	532	1	[	[	X
ejpam-6490	532	2	13	13	NUM
ejpam-6490	532	3	]	]	X
ejpam-6490	532	4	abeer	abeer	PROPN
ejpam-6490	532	5	s	s	PROPN
ejpam-6490	532	6	khalifa	khalifa	PROPN
ejpam-6490	532	7	,	,	PUNCT
ejpam-6490	532	8	hamdy	hamdy	PROPN
ejpam-6490	532	9	m	m	PROPN
ejpam-6490	532	10	ahmed	ahme	VERB
ejpam-6490	532	11	,	,	PUNCT
ejpam-6490	532	12	niveen	niveen	NOUN
ejpam-6490	532	13	m	m	NOUN
ejpam-6490	532	14	badra	badra	PROPN
ejpam-6490	532	15	,	,	PUNCT
ejpam-6490	532	16	jalil	jalil	PROPN
ejpam-6490	532	17	manafian	manafian	PROPN
ejpam-6490	532	18	,	,	PUNCT
ejpam-6490	532	19	khaled	khaled	PROPN
ejpam-6490	532	20	h	h	PROPN
ejpam-6490	532	21	mahmoud	mahmoud	PROPN
ejpam-6490	532	22	,	,	PUNCT
ejpam-6490	532	23	kottakkaran	kottakkaran	VERB
ejpam-6490	532	24	sooppy	sooppy	ADJ
ejpam-6490	532	25	nisar	nisar	PROPN
ejpam-6490	532	26	,	,	PUNCT
ejpam-6490	532	27	and	and	CCONJ
ejpam-6490	532	28	wafaa	wafaa	PROPN
ejpam-6490	532	29	b	b	PROPN
ejpam-6490	532	30	rabie	rabie	PROPN
ejpam-6490	532	31	.	.	PUNCT
ejpam-6490	533	1	derivation	derivation	NOUN
ejpam-6490	533	2	of	of	ADP
ejpam-6490	533	3	some	some	DET
ejpam-6490	533	4	solitary	solitary	ADJ
ejpam-6490	533	5	wave	wave	NOUN
ejpam-6490	533	6	solutions	solution	NOUN
ejpam-6490	533	7	for	for	ADP
ejpam-6490	533	8	the	the	DET
ejpam-6490	533	9	(	(	PUNCT
ejpam-6490	533	10	3	3	NUM
ejpam-6490	533	11	+	+	NUM
ejpam-6490	533	12	1)-dimensional	1)-dimensional	PROPN
ejpam-6490	533	13	pkp	pkp	PROPN
ejpam-6490	533	14	-	-	PUNCT
ejpam-6490	533	15	bkp	bkp	PROPN
ejpam-6490	533	16	equation	equation	NOUN
ejpam-6490	533	17	via	via	ADP
ejpam-6490	533	18	the	the	DET
ejpam-6490	533	19	ime	ime	PROPN
ejpam-6490	533	20	tanh	tanh	PROPN
ejpam-6490	533	21	function	function	NOUN
ejpam-6490	533	22	method	method	NOUN
ejpam-6490	533	23	.	.	PUNCT
ejpam-6490	534	1	aims	aim	VERB
ejpam-6490	534	2	mathematics	mathematic	NOUN
ejpam-6490	534	3	,	,	PUNCT
ejpam-6490	534	4	9(10):27704–27720	9(10):27704–27720	NOUN
ejpam-6490	534	5	,	,	PUNCT
ejpam-6490	534	6	2024	2024	NUM
ejpam-6490	534	7	.	.	PUNCT
ejpam-6490	535	1	[	[	X
ejpam-6490	535	2	14	14	NUM
ejpam-6490	535	3	]	]	PUNCT
ejpam-6490	535	4	ryogo	ryogo	NOUN
ejpam-6490	535	5	hirota	hirota	PROPN
ejpam-6490	535	6	.	.	PUNCT
ejpam-6490	536	1	the	the	DET
ejpam-6490	536	2	direct	direct	ADJ
ejpam-6490	536	3	method	method	NOUN
ejpam-6490	536	4	in	in	ADP
ejpam-6490	536	5	soliton	soliton	NOUN
ejpam-6490	536	6	theory	theory	NOUN
ejpam-6490	536	7	.	.	PUNCT
ejpam-6490	537	1	number	number	NOUN
ejpam-6490	537	2	155	155	NUM
ejpam-6490	537	3	.	.	PUNCT
ejpam-6490	538	1	cambridge	cambridge	PROPN
ejpam-6490	538	2	university	university	PROPN
ejpam-6490	538	3	press	press	NOUN
ejpam-6490	538	4	,	,	PUNCT
ejpam-6490	538	5	2004	2004	NUM
ejpam-6490	538	6	.	.	PUNCT
ejpam-6490	539	1	[	[	X
ejpam-6490	539	2	15	15	NUM
ejpam-6490	539	3	]	]	X
ejpam-6490	539	4	mohammed	mohammed	PROPN
ejpam-6490	539	5	bakheet	bakheet	PROPN
ejpam-6490	539	6	almatrafi	almatrafi	PROPN
ejpam-6490	539	7	.	.	PUNCT
ejpam-6490	540	1	solitary	solitary	ADJ
ejpam-6490	540	2	wave	wave	NOUN
ejpam-6490	540	3	solutions	solution	NOUN
ejpam-6490	540	4	to	to	ADP
ejpam-6490	540	5	a	a	DET
ejpam-6490	540	6	fractional	fractional	ADJ
ejpam-6490	540	7	model	model	NOUN
ejpam-6490	540	8	using	use	VERB
ejpam-6490	540	9	the	the	DET
ejpam-6490	540	10	improved	improve	VERB
ejpam-6490	540	11	modified	modify	VERB
ejpam-6490	540	12	extended	extended	ADJ
ejpam-6490	540	13	tanh	tanh	NOUN
ejpam-6490	540	14	-	-	PUNCT
ejpam-6490	540	15	function	function	NOUN
ejpam-6490	540	16	method	method	NOUN
ejpam-6490	540	17	.	.	PUNCT
ejpam-6490	541	1	fractal	fractal	ADJ
ejpam-6490	541	2	and	and	CCONJ
ejpam-6490	541	3	fractional	fractional	ADJ
ejpam-6490	541	4	,	,	PUNCT
ejpam-6490	541	5	7(3):252	7(3):252	NUM
ejpam-6490	541	6	,	,	PUNCT
ejpam-6490	541	7	2023	2023	NUM
ejpam-6490	541	8	.	.	PUNCT
ejpam-6490	542	1	[	[	X
ejpam-6490	542	2	16	16	NUM
ejpam-6490	542	3	]	]	PUNCT
ejpam-6490	542	4	mb	mb	ADP
ejpam-6490	542	5	almatrafi	almatrafi	NOUN
ejpam-6490	542	6	.	.	PUNCT
ejpam-6490	543	1	construction	construction	NOUN
ejpam-6490	543	2	of	of	ADP
ejpam-6490	543	3	closed	closed	ADJ
ejpam-6490	543	4	form	form	NOUN
ejpam-6490	543	5	soliton	soliton	NOUN
ejpam-6490	543	6	solutions	solution	NOUN
ejpam-6490	543	7	to	to	ADP
ejpam-6490	543	8	the	the	DET
ejpam-6490	543	9	space	space	NOUN
ejpam-6490	543	10	-	-	PUNCT
ejpam-6490	543	11	time	time	NOUN
ejpam-6490	543	12	fractional	fractional	ADJ
ejpam-6490	543	13	symmetric	symmetric	ADJ
ejpam-6490	543	14	regularized	regularize	VERB
ejpam-6490	543	15	long	long	ADJ
ejpam-6490	543	16	wave	wave	NOUN
ejpam-6490	543	17	equation	equation	NOUN
ejpam-6490	543	18	using	use	VERB
ejpam-6490	543	19	two	two	NUM
ejpam-6490	543	20	reliable	reliable	ADJ
ejpam-6490	543	21	methods	method	NOUN
ejpam-6490	543	22	.	.	PUNCT
ejpam-6490	544	1	fractals	fractal	NOUN
ejpam-6490	544	2	,	,	PUNCT
ejpam-6490	544	3	31(10):2340160	31(10):2340160	NUM
ejpam-6490	544	4	,	,	PUNCT
ejpam-6490	544	5	2023	2023	NUM
ejpam-6490	544	6	.	.	PUNCT
ejpam-6490	545	1	w.	w.	PROPN
ejpam-6490	545	2	w.	w.	PROPN
ejpam-6490	545	3	mohammed	mohammed	PROPN
ejpam-6490	545	4	et	et	PROPN
ejpam-6490	545	5	al	al	PROPN
ejpam-6490	545	6	.	.	PUNCT
ejpam-6490	545	7	/	/	SYM
ejpam-6490	545	8	eur	eur	PROPN
ejpam-6490	545	9	.	.	PUNCT
ejpam-6490	546	1	j.	j.	PROPN
ejpam-6490	546	2	pure	pure	PROPN
ejpam-6490	546	3	appl	appl	PROPN
ejpam-6490	546	4	.	.	PROPN
ejpam-6490	546	5	math	math	PROPN
ejpam-6490	546	6	,	,	PUNCT
ejpam-6490	546	7	18	18	NUM
ejpam-6490	546	8	(	(	PUNCT
ejpam-6490	546	9	3	3	NUM
ejpam-6490	546	10	)	)	PUNCT
ejpam-6490	546	11	(	(	PUNCT
ejpam-6490	546	12	2025	2025	NUM
ejpam-6490	546	13	)	)	PUNCT
ejpam-6490	546	14	,	,	PUNCT
ejpam-6490	546	15	6490	6490	NUM
ejpam-6490	546	16	21	21	NUM
ejpam-6490	546	17	of	of	ADP
ejpam-6490	546	18	23	23	NUM
ejpam-6490	546	19	[	[	SYM
ejpam-6490	546	20	17	17	NUM
ejpam-6490	546	21	]	]	X
ejpam-6490	546	22	muhammad	muhammad	PROPN
ejpam-6490	546	23	amin	amin	PROPN
ejpam-6490	546	24	s	s	PROPN
ejpam-6490	546	25	murad	murad	PROPN
ejpam-6490	546	26	,	,	PUNCT
ejpam-6490	546	27	hajar	hajar	PROPN
ejpam-6490	546	28	f	f	PROPN
ejpam-6490	546	29	ismael	ismael	PROPN
ejpam-6490	546	30	,	,	PUNCT
ejpam-6490	546	31	tukur	tukur	VERB
ejpam-6490	546	32	a	a	DET
ejpam-6490	546	33	sulaiman	sulaiman	NOUN
ejpam-6490	546	34	,	,	PUNCT
ejpam-6490	546	35	nehad	nehad	VERB
ejpam-6490	546	36	a	a	DET
ejpam-6490	546	37	shah	shah	NOUN
ejpam-6490	546	38	,	,	PUNCT
ejpam-6490	546	39	and	and	CCONJ
ejpam-6490	546	40	jae	jae	PROPN
ejpam-6490	546	41	dong	dong	PROPN
ejpam-6490	546	42	chung	chung	PROPN
ejpam-6490	546	43	.	.	PUNCT
ejpam-6490	547	1	higher	high	ADJ
ejpam-6490	547	2	-	-	PUNCT
ejpam-6490	547	3	order	order	NOUN
ejpam-6490	547	4	time	time	NOUN
ejpam-6490	547	5	-	-	PUNCT
ejpam-6490	547	6	fractional	fractional	ADJ
ejpam-6490	547	7	sasa	sasa	NOUN
ejpam-6490	547	8	–	–	PUNCT
ejpam-6490	547	9	satsuma	satsuma	NOUN
ejpam-6490	547	10	equation	equation	NOUN
ejpam-6490	547	11	:	:	PUNCT
ejpam-6490	547	12	various	various	ADJ
ejpam-6490	547	13	optical	optical	ADJ
ejpam-6490	547	14	soliton	soliton	NOUN
ejpam-6490	547	15	solutions	solution	NOUN
ejpam-6490	547	16	in	in	ADP
ejpam-6490	547	17	optical	optical	ADJ
ejpam-6490	547	18	fiber	fiber	NOUN
ejpam-6490	547	19	.	.	PUNCT
ejpam-6490	548	1	results	result	NOUN
ejpam-6490	548	2	in	in	ADP
ejpam-6490	548	3	physics	physics	NOUN
ejpam-6490	548	4	,	,	PUNCT
ejpam-6490	548	5	55:107162	55:107162	ADV
ejpam-6490	548	6	,	,	PUNCT
ejpam-6490	548	7	2023	2023	NUM
ejpam-6490	548	8	.	.	PUNCT
ejpam-6490	549	1	[	[	X
ejpam-6490	549	2	18	18	NUM
ejpam-6490	549	3	]	]	X
ejpam-6490	549	4	usman	usman	PROPN
ejpam-6490	549	5	younas	younas	PROPN
ejpam-6490	549	6	,	,	PUNCT
ejpam-6490	549	7	tukur	tukur	VERB
ejpam-6490	549	8	a	a	DET
ejpam-6490	549	9	sulaiman	sulaiman	NOUN
ejpam-6490	549	10	,	,	PUNCT
ejpam-6490	549	11	hajar	hajar	PROPN
ejpam-6490	549	12	f	f	PROPN
ejpam-6490	549	13	ismael	ismael	PROPN
ejpam-6490	549	14	,	,	PUNCT
ejpam-6490	549	15	and	and	CCONJ
ejpam-6490	549	16	muhammad	muhammad	PROPN
ejpam-6490	549	17	amin	amin	PROPN
ejpam-6490	549	18	s	s	PROPN
ejpam-6490	549	19	murad	murad	NOUN
ejpam-6490	549	20	.	.	PUNCT
ejpam-6490	550	1	on	on	ADP
ejpam-6490	550	2	the	the	DET
ejpam-6490	550	3	study	study	NOUN
ejpam-6490	550	4	of	of	ADP
ejpam-6490	550	5	interaction	interaction	NOUN
ejpam-6490	550	6	phenomena	phenomenon	NOUN
ejpam-6490	550	7	to	to	ADP
ejpam-6490	550	8	the	the	DET
ejpam-6490	550	9	(	(	PUNCT
ejpam-6490	550	10	2	2	NUM
ejpam-6490	550	11	+	+	NUM
ejpam-6490	550	12	1)-dimensional	1)-dimensional	ADJ
ejpam-6490	550	13	korteweg	korteweg	NOUN
ejpam-6490	550	14	–	–	PUNCT
ejpam-6490	550	15	de	de	X
ejpam-6490	550	16	vries	vries	PROPN
ejpam-6490	550	17	–	–	PUNCT
ejpam-6490	550	18	sawada	sawada	NOUN
ejpam-6490	550	19	–	–	PUNCT
ejpam-6490	550	20	kotera	kotera	NOUN
ejpam-6490	550	21	–	–	PUNCT
ejpam-6490	550	22	ramani	ramani	PROPN
ejpam-6490	550	23	equation	equation	NOUN
ejpam-6490	550	24	.	.	PUNCT
ejpam-6490	551	1	modern	modern	ADJ
ejpam-6490	551	2	physics	physics	NOUN
ejpam-6490	551	3	letters	letter	NOUN
ejpam-6490	551	4	b	b	PROPN
ejpam-6490	551	5	,	,	PUNCT
ejpam-6490	551	6	39(09):2450437	39(09):2450437	NUM
ejpam-6490	551	7	,	,	PUNCT
ejpam-6490	551	8	2025	2025	NUM
ejpam-6490	551	9	.	.	PUNCT
ejpam-6490	552	1	[	[	X
ejpam-6490	552	2	19	19	NUM
ejpam-6490	552	3	]	]	X
ejpam-6490	552	4	usman	usman	PROPN
ejpam-6490	552	5	younas	younas	PROPN
ejpam-6490	552	6	,	,	PUNCT
ejpam-6490	552	7	tukur	tukur	VERB
ejpam-6490	552	8	abdulkadir	abdulkadir	ADJ
ejpam-6490	552	9	sulaiman	sulaiman	NOUN
ejpam-6490	552	10	,	,	PUNCT
ejpam-6490	552	11	and	and	CCONJ
ejpam-6490	552	12	jingli	jingli	PROPN
ejpam-6490	552	13	ren	ren	PROPN
ejpam-6490	552	14	.	.	PUNCT
ejpam-6490	553	1	propagation	propagation	NOUN
ejpam-6490	553	2	of	of	ADP
ejpam-6490	553	3	m	m	NOUN
ejpam-6490	553	4	-	-	PUNCT
ejpam-6490	553	5	truncated	truncated	ADJ
ejpam-6490	553	6	optical	optical	ADJ
ejpam-6490	553	7	pulses	pulse	NOUN
ejpam-6490	553	8	in	in	ADP
ejpam-6490	553	9	nonlinear	nonlinear	ADJ
ejpam-6490	553	10	optics	optic	NOUN
ejpam-6490	553	11	.	.	PUNCT
ejpam-6490	554	1	optical	optical	ADJ
ejpam-6490	554	2	and	and	CCONJ
ejpam-6490	554	3	quantum	quantum	NOUN
ejpam-6490	554	4	electronics	electronic	NOUN
ejpam-6490	554	5	,	,	PUNCT
ejpam-6490	554	6	55(2):102	55(2):102	NUM
ejpam-6490	554	7	,	,	PUNCT
ejpam-6490	554	8	2023	2023	NUM
ejpam-6490	554	9	.	.	PUNCT
ejpam-6490	555	1	[	[	X
ejpam-6490	555	2	20	20	NUM
ejpam-6490	555	3	]	]	X
ejpam-6490	555	4	usman	usman	PROPN
ejpam-6490	555	5	younas	younas	PROPN
ejpam-6490	555	6	,	,	PUNCT
ejpam-6490	555	7	tukur	tukur	VERB
ejpam-6490	555	8	abdulkadir	abdulkadir	ADJ
ejpam-6490	555	9	sulaiman	sulaiman	NOUN
ejpam-6490	555	10	,	,	PUNCT
ejpam-6490	555	11	and	and	CCONJ
ejpam-6490	555	12	jingli	jingli	PROPN
ejpam-6490	555	13	ren	ren	PROPN
ejpam-6490	555	14	.	.	PUNCT
ejpam-6490	556	1	on	on	ADP
ejpam-6490	556	2	the	the	DET
ejpam-6490	556	3	optical	optical	ADJ
ejpam-6490	556	4	soliton	soliton	NOUN
ejpam-6490	556	5	structures	structure	NOUN
ejpam-6490	556	6	in	in	ADP
ejpam-6490	556	7	the	the	DET
ejpam-6490	556	8	magneto	magneto	NOUN
ejpam-6490	556	9	electro	electro	NOUN
ejpam-6490	556	10	-	-	PUNCT
ejpam-6490	556	11	elastic	elastic	ADJ
ejpam-6490	556	12	circular	circular	ADJ
ejpam-6490	556	13	rod	rod	NOUN
ejpam-6490	556	14	modeled	model	VERB
ejpam-6490	556	15	by	by	ADP
ejpam-6490	556	16	nonlinear	nonlinear	ADJ
ejpam-6490	556	17	dynamical	dynamical	ADJ
ejpam-6490	556	18	longitudinal	longitudinal	ADJ
ejpam-6490	556	19	wave	wave	NOUN
ejpam-6490	556	20	equation	equation	NOUN
ejpam-6490	556	21	.	.	PUNCT
ejpam-6490	557	1	optical	optical	ADJ
ejpam-6490	557	2	and	and	CCONJ
ejpam-6490	557	3	quantum	quantum	ADJ
ejpam-6490	557	4	electronics	electronic	NOUN
ejpam-6490	557	5	,	,	PUNCT
ejpam-6490	557	6	54(11):688	54(11):688	NUM
ejpam-6490	557	7	,	,	PUNCT
ejpam-6490	557	8	2022	2022	NUM
ejpam-6490	557	9	.	.	PUNCT
ejpam-6490	558	1	[	[	X
ejpam-6490	558	2	21	21	NUM
ejpam-6490	558	3	]	]	X
ejpam-6490	558	4	joseph	joseph	PROPN
ejpam-6490	558	5	boussinesq	boussinesq	PROPN
ejpam-6490	558	6	.	.	PUNCT
ejpam-6490	559	1	essai	essai	PROPN
ejpam-6490	559	2	sur	sur	PROPN
ejpam-6490	559	3	la	la	PROPN
ejpam-6490	559	4	théorie	théorie	PROPN
ejpam-6490	559	5	des	des	X
ejpam-6490	559	6	eaux	eaux	PROPN
ejpam-6490	559	7	courantes	courantes	PROPN
ejpam-6490	559	8	.	.	PUNCT
ejpam-6490	560	1	impr	impr	PROPN
ejpam-6490	560	2	.	.	PUNCT
ejpam-6490	561	1	nationale	nationale	PROPN
ejpam-6490	561	2	,	,	PUNCT
ejpam-6490	561	3	1877	1877	NUM
ejpam-6490	561	4	.	.	PUNCT
ejpam-6490	562	1	[	[	X
ejpam-6490	562	2	22	22	NUM
ejpam-6490	562	3	]	]	X
ejpam-6490	562	4	abdul	abdul	PROPN
ejpam-6490	562	5	-	-	PUNCT
ejpam-6490	562	6	majid	majid	PROPN
ejpam-6490	562	7	wazwaz	wazwaz	NOUN
ejpam-6490	562	8	.	.	PUNCT
ejpam-6490	563	1	multiple	multiple	ADJ
ejpam-6490	563	2	-	-	PUNCT
ejpam-6490	563	3	soliton	soliton	NOUN
ejpam-6490	563	4	solutions	solution	NOUN
ejpam-6490	563	5	for	for	ADP
ejpam-6490	563	6	the	the	DET
ejpam-6490	563	7	boussinesq	boussinesq	ADJ
ejpam-6490	563	8	equation	equation	NOUN
ejpam-6490	563	9	.	.	PUNCT
ejpam-6490	564	1	applied	apply	VERB
ejpam-6490	564	2	mathematics	mathematic	NOUN
ejpam-6490	564	3	and	and	CCONJ
ejpam-6490	564	4	computation	computation	NOUN
ejpam-6490	564	5	,	,	PUNCT
ejpam-6490	564	6	192(2):479–486	192(2):479–486	NUM
ejpam-6490	564	7	,	,	PUNCT
ejpam-6490	564	8	2007	2007	NUM
ejpam-6490	564	9	.	.	PUNCT
ejpam-6490	565	1	[	[	X
ejpam-6490	565	2	23	23	NUM
ejpam-6490	565	3	]	]	PUNCT
ejpam-6490	565	4	am	be	AUX
ejpam-6490	565	5	wazwaz	wazwaz	NOUN
ejpam-6490	565	6	.	.	PUNCT
ejpam-6490	566	1	construction	construction	NOUN
ejpam-6490	566	2	of	of	ADP
ejpam-6490	566	3	soliton	soliton	NOUN
ejpam-6490	566	4	solutions	solution	NOUN
ejpam-6490	566	5	and	and	CCONJ
ejpam-6490	566	6	periodic	periodic	ADJ
ejpam-6490	566	7	solutions	solution	NOUN
ejpam-6490	566	8	of	of	ADP
ejpam-6490	566	9	the	the	DET
ejpam-6490	566	10	boussinesq	boussinesq	ADJ
ejpam-6490	566	11	equation	equation	NOUN
ejpam-6490	566	12	by	by	ADP
ejpam-6490	566	13	the	the	DET
ejpam-6490	566	14	modified	modify	VERB
ejpam-6490	566	15	decomposition	decomposition	NOUN
ejpam-6490	566	16	method	method	NOUN
ejpam-6490	566	17	.	.	PUNCT
ejpam-6490	567	1	chaos	chaos	NOUN
ejpam-6490	567	2	,	,	PUNCT
ejpam-6490	567	3	solitons	soliton	NOUN
ejpam-6490	567	4	&	&	CCONJ
ejpam-6490	567	5	fractals	fractal	NOUN
ejpam-6490	567	6	,	,	PUNCT
ejpam-6490	567	7	12(8):1549–1556	12(8):1549–1556	NUM
ejpam-6490	567	8	,	,	PUNCT
ejpam-6490	567	9	2001	2001	NUM
ejpam-6490	567	10	.	.	PUNCT
ejpam-6490	568	1	[	[	X
ejpam-6490	568	2	24	24	NUM
ejpam-6490	568	3	]	]	PUNCT
ejpam-6490	568	4	abdul	abdul	PROPN
ejpam-6490	568	5	-	-	PUNCT
ejpam-6490	568	6	majid	majid	PROPN
ejpam-6490	568	7	wazwaz	wazwaz	NOUN
ejpam-6490	568	8	.	.	PUNCT
ejpam-6490	569	1	partial	partial	ADJ
ejpam-6490	569	2	differential	differential	ADJ
ejpam-6490	569	3	equations	equation	NOUN
ejpam-6490	569	4	and	and	CCONJ
ejpam-6490	569	5	solitary	solitary	ADJ
ejpam-6490	569	6	waves	wave	NOUN
ejpam-6490	569	7	theory	theory	NOUN
ejpam-6490	569	8	.	.	PUNCT
ejpam-6490	570	1	springer	springer	NOUN
ejpam-6490	570	2	science	science	PROPN
ejpam-6490	570	3	&	&	CCONJ
ejpam-6490	570	4	business	business	NOUN
ejpam-6490	570	5	media	medium	NOUN
ejpam-6490	570	6	,	,	PUNCT
ejpam-6490	570	7	2010	2010	NUM
ejpam-6490	570	8	.	.	PUNCT
ejpam-6490	571	1	[	[	X
ejpam-6490	571	2	25	25	NUM
ejpam-6490	571	3	]	]	PUNCT
ejpam-6490	571	4	weaam	weaam	PROPN
ejpam-6490	571	5	alhejaili	alhejaili	PROPN
ejpam-6490	571	6	,	,	PUNCT
ejpam-6490	571	7	abdul	abdul	PROPN
ejpam-6490	571	8	-	-	PUNCT
ejpam-6490	571	9	majid	majid	PROPN
ejpam-6490	571	10	wazwaz	wazwaz	NOUN
ejpam-6490	571	11	,	,	PUNCT
ejpam-6490	571	12	and	and	CCONJ
ejpam-6490	571	13	sa	sa	ADP
ejpam-6490	571	14	el	el	NOUN
ejpam-6490	571	15	-	-	PUNCT
ejpam-6490	571	16	tantawy	tantawy	NOUN
ejpam-6490	571	17	.	.	PUNCT
ejpam-6490	572	1	on	on	ADP
ejpam-6490	572	2	the	the	DET
ejpam-6490	572	3	multiple	multiple	ADJ
ejpam-6490	572	4	soliton	soliton	NOUN
ejpam-6490	572	5	and	and	CCONJ
ejpam-6490	572	6	lump	lump	NOUN
ejpam-6490	572	7	solutions	solution	NOUN
ejpam-6490	572	8	to	to	ADP
ejpam-6490	572	9	the	the	DET
ejpam-6490	572	10	(	(	PUNCT
ejpam-6490	572	11	3	3	NUM
ejpam-6490	572	12	+	+	NUM
ejpam-6490	572	13	1)-dimensional	1)-dimensional	NUM
ejpam-6490	572	14	painlev	painlev	ADJ
ejpam-6490	572	15	e	e	PROPN
ejpam-6490	572	16	integrable	integrable	ADJ
ejpam-6490	572	17	boussinesq	boussinesq	ADJ
ejpam-6490	572	18	-	-	PUNCT
ejpam-6490	572	19	type	type	NOUN
ejpam-6490	572	20	and	and	CCONJ
ejpam-6490	572	21	kp	kp	ADJ
ejpam-6490	572	22	-	-	PUNCT
ejpam-6490	572	23	type	type	NOUN
ejpam-6490	572	24	equations	equation	NOUN
ejpam-6490	572	25	.	.	PUNCT
ejpam-6490	573	1	rom	rom	PROPN
ejpam-6490	573	2	.	.	PUNCT
ejpam-6490	573	3	rep	rep	PROPN
ejpam-6490	573	4	.	.	PROPN
ejpam-6490	573	5	phys	phys	PROPN
ejpam-6490	573	6	,	,	PUNCT
ejpam-6490	573	7	pages	page	NOUN
ejpam-6490	573	8	1–24	1–24	PROPN
ejpam-6490	573	9	,	,	PUNCT
ejpam-6490	573	10	2024	2024	NUM
ejpam-6490	573	11	.	.	PUNCT
ejpam-6490	574	1	[	[	X
ejpam-6490	574	2	26	26	NUM
ejpam-6490	574	3	]	]	X
ejpam-6490	574	4	karim	karim	PROPN
ejpam-6490	574	5	k	k	PROPN
ejpam-6490	574	6	ahmed	ahmed	PROPN
ejpam-6490	574	7	,	,	PUNCT
ejpam-6490	574	8	niveen	niveen	NOUN
ejpam-6490	574	9	m	m	NOUN
ejpam-6490	574	10	badra	badra	PROPN
ejpam-6490	574	11	,	,	PUNCT
ejpam-6490	574	12	hamdy	hamdy	PROPN
ejpam-6490	574	13	m	m	PROPN
ejpam-6490	574	14	ahmed	ahme	VERB
ejpam-6490	574	15	,	,	PUNCT
ejpam-6490	574	16	and	and	CCONJ
ejpam-6490	574	17	wafaa	wafaa	PROPN
ejpam-6490	574	18	b	b	PROPN
ejpam-6490	574	19	rabie	rabie	PROPN
ejpam-6490	574	20	.	.	PUNCT
ejpam-6490	575	1	soliton	soliton	NOUN
ejpam-6490	575	2	solutions	solution	NOUN
ejpam-6490	575	3	and	and	CCONJ
ejpam-6490	575	4	other	other	ADJ
ejpam-6490	575	5	solutions	solution	NOUN
ejpam-6490	575	6	for	for	ADP
ejpam-6490	575	7	kundu	kundu	NOUN
ejpam-6490	575	8	–	–	PUNCT
ejpam-6490	575	9	eckhaus	eckhaus	NOUN
ejpam-6490	575	10	equation	equation	NOUN
ejpam-6490	575	11	with	with	ADP
ejpam-6490	575	12	quintic	quintic	ADJ
ejpam-6490	575	13	nonlinearity	nonlinearity	NOUN
ejpam-6490	575	14	and	and	CCONJ
ejpam-6490	575	15	raman	raman	NOUN
ejpam-6490	575	16	effect	effect	NOUN
ejpam-6490	575	17	using	use	VERB
ejpam-6490	575	18	the	the	DET
ejpam-6490	575	19	improved	improve	VERB
ejpam-6490	575	20	modified	modify	VERB
ejpam-6490	575	21	extended	extended	ADJ
ejpam-6490	575	22	tanh	tanh	NOUN
ejpam-6490	575	23	-	-	PUNCT
ejpam-6490	575	24	function	function	NOUN
ejpam-6490	575	25	method	method	NOUN
ejpam-6490	575	26	.	.	PUNCT
ejpam-6490	576	1	mathematics	mathematic	NOUN
ejpam-6490	576	2	,	,	PUNCT
ejpam-6490	576	3	10(22):4203	10(22):4203	NUM
ejpam-6490	576	4	,	,	PUNCT
ejpam-6490	576	5	2022	2022	NUM
ejpam-6490	576	6	.	.	PUNCT
ejpam-6490	577	1	[	[	X
ejpam-6490	577	2	27	27	NUM
ejpam-6490	577	3	]	]	X
ejpam-6490	577	4	mina	mina	PROPN
ejpam-6490	577	5	m	m	PROPN
ejpam-6490	577	6	fahim	fahim	PROPN
ejpam-6490	577	7	,	,	PUNCT
ejpam-6490	577	8	hamdy	hamdy	PROPN
ejpam-6490	577	9	m	m	PROPN
ejpam-6490	577	10	ahmed	ahmed	PROPN
ejpam-6490	577	11	,	,	PUNCT
ejpam-6490	577	12	ka	ka	PROPN
ejpam-6490	577	13	dib	dib	PROPN
ejpam-6490	577	14	,	,	PUNCT
ejpam-6490	577	15	and	and	CCONJ
ejpam-6490	577	16	islam	islam	PROPN
ejpam-6490	577	17	samir	samir	PROPN
ejpam-6490	577	18	.	.	PUNCT
ejpam-6490	578	1	derivation	derivation	NOUN
ejpam-6490	578	2	of	of	ADP
ejpam-6490	578	3	dispersive	dispersive	ADJ
ejpam-6490	578	4	solitons	soliton	NOUN
ejpam-6490	578	5	with	with	ADP
ejpam-6490	578	6	quadrupled	quadruple	VERB
ejpam-6490	578	7	power	power	NOUN
ejpam-6490	578	8	law	law	NOUN
ejpam-6490	578	9	of	of	ADP
ejpam-6490	578	10	nonlinearity	nonlinearity	NOUN
ejpam-6490	578	11	using	use	VERB
ejpam-6490	578	12	improved	improve	VERB
ejpam-6490	578	13	modified	modify	VERB
ejpam-6490	578	14	extended	extend	VERB
ejpam-6490	578	15	tanh	tanh	NOUN
ejpam-6490	578	16	function	function	NOUN
ejpam-6490	578	17	method	method	NOUN
ejpam-6490	578	18	.	.	PUNCT
ejpam-6490	579	1	journal	journal	NOUN
ejpam-6490	579	2	of	of	ADP
ejpam-6490	579	3	optics	optic	NOUN
ejpam-6490	579	4	,	,	PUNCT
ejpam-6490	579	5	pages	page	NOUN
ejpam-6490	579	6	1–10	1–10	NOUN
ejpam-6490	579	7	,	,	PUNCT
ejpam-6490	579	8	2024	2024	NUM
ejpam-6490	579	9	.	.	PUNCT
ejpam-6490	580	1	[	[	X
ejpam-6490	580	2	28	28	NUM
ejpam-6490	580	3	]	]	X
ejpam-6490	580	4	karim	karim	PROPN
ejpam-6490	580	5	k	k	PROPN
ejpam-6490	580	6	ahmed	ahmed	PROPN
ejpam-6490	580	7	,	,	PUNCT
ejpam-6490	580	8	niveen	niveen	NOUN
ejpam-6490	580	9	m	m	NOUN
ejpam-6490	580	10	badra	badra	PROPN
ejpam-6490	580	11	,	,	PUNCT
ejpam-6490	580	12	hamdy	hamdy	PROPN
ejpam-6490	580	13	m	m	PROPN
ejpam-6490	580	14	ahmed	ahme	VERB
ejpam-6490	580	15	,	,	PUNCT
ejpam-6490	580	16	and	and	CCONJ
ejpam-6490	580	17	wafaa	wafaa	PROPN
ejpam-6490	580	18	b	b	PROPN
ejpam-6490	580	19	rabie	rabie	PROPN
ejpam-6490	580	20	.	.	PUNCT
ejpam-6490	581	1	soliton	soliton	NOUN
ejpam-6490	581	2	solutions	solution	NOUN
ejpam-6490	581	3	of	of	ADP
ejpam-6490	581	4	generalized	generalized	ADJ
ejpam-6490	581	5	kundu	kundu	NOUN
ejpam-6490	581	6	-	-	PUNCT
ejpam-6490	581	7	eckhaus	eckhaus	NOUN
ejpam-6490	581	8	equation	equation	NOUN
ejpam-6490	581	9	with	with	ADP
ejpam-6490	581	10	an	an	DET
ejpam-6490	581	11	extra	extra	ADJ
ejpam-6490	581	12	-	-	NOUN
ejpam-6490	581	13	dispersion	dispersion	NOUN
ejpam-6490	581	14	via	via	ADP
ejpam-6490	581	15	improved	improve	VERB
ejpam-6490	581	16	modified	modify	VERB
ejpam-6490	581	17	extended	extend	VERB
ejpam-6490	581	18	tanh	tanh	NOUN
ejpam-6490	581	19	-	-	PUNCT
ejpam-6490	581	20	function	function	NOUN
ejpam-6490	581	21	technique	technique	NOUN
ejpam-6490	581	22	.	.	PUNCT
ejpam-6490	582	1	optical	optical	ADJ
ejpam-6490	582	2	and	and	CCONJ
ejpam-6490	582	3	quantum	quantum	NOUN
ejpam-6490	582	4	electronics	electronic	NOUN
ejpam-6490	582	5	,	,	PUNCT
ejpam-6490	582	6	55(4):299	55(4):299	NOUN
ejpam-6490	582	7	,	,	PUNCT
ejpam-6490	582	8	2023	2023	NUM
ejpam-6490	582	9	.	.	PUNCT
ejpam-6490	583	1	[	[	X
ejpam-6490	583	2	29	29	NUM
ejpam-6490	583	3	]	]	PUNCT
ejpam-6490	583	4	zonghang	zonghang	PROPN
ejpam-6490	583	5	yang	yang	PROPN
ejpam-6490	583	6	and	and	CCONJ
ejpam-6490	583	7	benny	benny	PROPN
ejpam-6490	583	8	yc	yc	PROPN
ejpam-6490	583	9	hon	hon	PROPN
ejpam-6490	583	10	.	.	PUNCT
ejpam-6490	584	1	an	an	DET
ejpam-6490	584	2	improved	improve	VERB
ejpam-6490	584	3	modified	modify	VERB
ejpam-6490	584	4	extended	extended	ADJ
ejpam-6490	584	5	tanh	tanh	NOUN
ejpam-6490	584	6	-	-	PUNCT
ejpam-6490	584	7	function	function	NOUN
ejpam-6490	584	8	method	method	NOUN
ejpam-6490	584	9	.	.	PUNCT
ejpam-6490	585	1	zeitschrift	zeitschrift	NOUN
ejpam-6490	585	2	für	für	PROPN
ejpam-6490	585	3	naturforschung	naturforschung	VERB
ejpam-6490	585	4	a	a	DET
ejpam-6490	585	5	,	,	PUNCT
ejpam-6490	585	6	61(3	61(3	PROPN
ejpam-6490	585	7	-	-	NOUN
ejpam-6490	585	8	4):103–115	4):103–115	NUM
ejpam-6490	585	9	,	,	PUNCT
ejpam-6490	585	10	2006	2006	NUM
ejpam-6490	585	11	.	.	PUNCT
ejpam-6490	586	1	[	[	X
ejpam-6490	586	2	30	30	NUM
ejpam-6490	586	3	]	]	X
ejpam-6490	586	4	hadi	hadi	PROPN
ejpam-6490	586	5	susanto	susanto	PROPN
ejpam-6490	586	6	and	and	CCONJ
ejpam-6490	586	7	magnus	magnus	PROPN
ejpam-6490	586	8	johansson	johansson	PROPN
ejpam-6490	586	9	.	.	PUNCT
ejpam-6490	587	1	discrete	discrete	VERB
ejpam-6490	587	2	dark	dark	ADJ
ejpam-6490	587	3	solitons	soliton	NOUN
ejpam-6490	587	4	with	with	ADP
ejpam-6490	587	5	multiple	multiple	ADJ
ejpam-6490	587	6	holes	hole	NOUN
ejpam-6490	587	7	.	.	PUNCT
ejpam-6490	588	1	physical	physical	ADJ
ejpam-6490	588	2	review	review	NOUN
ejpam-6490	588	3	e	e	NOUN
ejpam-6490	588	4	—	—	PUNCT
ejpam-6490	588	5	statistical	statistical	ADJ
ejpam-6490	588	6	,	,	PUNCT
ejpam-6490	588	7	nonlinear	nonlinear	ADJ
ejpam-6490	588	8	,	,	PUNCT
ejpam-6490	588	9	and	and	CCONJ
ejpam-6490	588	10	soft	soft	ADJ
ejpam-6490	588	11	matter	matter	NOUN
ejpam-6490	588	12	physics	physics	NOUN
ejpam-6490	588	13	,	,	PUNCT
ejpam-6490	588	14	72(1):016605	72(1):016605	NUM
ejpam-6490	588	15	,	,	PUNCT
ejpam-6490	588	16	2005	2005	NUM
ejpam-6490	588	17	.	.	PUNCT
ejpam-6490	589	1	[	[	X
ejpam-6490	589	2	31	31	NUM
ejpam-6490	589	3	]	]	X
ejpam-6490	589	4	anne	anne	PROPN
ejpam-6490	589	5	maitre	maitre	PROPN
ejpam-6490	589	6	,	,	PUNCT
ejpam-6490	589	7	giovanni	giovanni	PROPN
ejpam-6490	589	8	lerario	lerario	PROPN
ejpam-6490	589	9	,	,	PUNCT
ejpam-6490	589	10	adrià	adrià	PROPN
ejpam-6490	589	11	medeiros	medeiros	PROPN
ejpam-6490	589	12	,	,	PUNCT
ejpam-6490	589	13	ferdinand	ferdinand	PROPN
ejpam-6490	589	14	claude	claude	PROPN
ejpam-6490	589	15	,	,	PUNCT
ejpam-6490	589	16	quentin	quentin	PROPN
ejpam-6490	589	17	glorieux	glorieux	PROPN
ejpam-6490	589	18	,	,	PUNCT
ejpam-6490	589	19	elisabeth	elisabeth	PROPN
ejpam-6490	589	20	giacobino	giacobino	PROPN
ejpam-6490	589	21	,	,	PUNCT
ejpam-6490	589	22	simon	simon	PROPN
ejpam-6490	589	23	pigeon	pigeon	NOUN
ejpam-6490	589	24	,	,	PUNCT
ejpam-6490	589	25	and	and	CCONJ
ejpam-6490	589	26	alberto	alberto	PROPN
ejpam-6490	589	27	bramati	bramati	PROPN
ejpam-6490	589	28	.	.	PUNCT
ejpam-6490	590	1	dark	dark	ADJ
ejpam-6490	590	2	-	-	PUNCT
ejpam-6490	590	3	soliton	soliton	NOUN
ejpam-6490	590	4	molecules	molecule	NOUN
ejpam-6490	590	5	in	in	ADP
ejpam-6490	590	6	an	an	DET
ejpam-6490	590	7	excitonpolariton	excitonpolariton	NOUN
ejpam-6490	590	8	superfluid	superfluid	NOUN
ejpam-6490	590	9	.	.	PUNCT
ejpam-6490	591	1	physical	physical	ADJ
ejpam-6490	591	2	review	review	PROPN
ejpam-6490	591	3	x	x	X
ejpam-6490	591	4	,	,	PUNCT
ejpam-6490	591	5	10(4):041028	10(4):041028	NUM
ejpam-6490	591	6	,	,	PUNCT
ejpam-6490	591	7	2020	2020	NUM
ejpam-6490	591	8	.	.	PUNCT
ejpam-6490	592	1	[	[	X
ejpam-6490	592	2	32	32	NUM
ejpam-6490	592	3	]	]	PUNCT
ejpam-6490	592	4	halide	halide	NOUN
ejpam-6490	592	5	gümüş	gümüş	PROPN
ejpam-6490	592	6	and	and	CCONJ
ejpam-6490	592	7	abdullah	abdullah	PROPN
ejpam-6490	592	8	baykal	baykal	PROPN
ejpam-6490	592	9	.	.	PUNCT
ejpam-6490	593	1	exact	exact	ADJ
ejpam-6490	593	2	solutions	solution	NOUN
ejpam-6490	593	3	of	of	ADP
ejpam-6490	593	4	boussinesq	boussinesq	ADJ
ejpam-6490	593	5	equations	equation	NOUN
ejpam-6490	593	6	by	by	ADP
ejpam-6490	593	7	hirota	hirota	ADJ
ejpam-6490	593	8	direct	direct	ADJ
ejpam-6490	593	9	method	method	NOUN
ejpam-6490	593	10	.	.	PUNCT
ejpam-6490	594	1	afyon	afyon	NOUN
ejpam-6490	594	2	kocatepe	kocatepe	PROPN
ejpam-6490	594	3	üniversitesi	üniversitesi	PROPN
ejpam-6490	594	4	fen	fen	PROPN
ejpam-6490	594	5	ve	ve	AUX
ejpam-6490	594	6	mühendislik	mühendislik	VERB
ejpam-6490	594	7	bilimleri	bilimleri	PROPN
ejpam-6490	594	8	dergisi	dergisi	PROPN
ejpam-6490	594	9	,	,	PUNCT
ejpam-6490	594	10	24(5):1113–1119	24(5):1113–1119	NUM
ejpam-6490	594	11	,	,	PUNCT
ejpam-6490	594	12	2024	2024	NUM
ejpam-6490	594	13	.	.	PUNCT
ejpam-6490	595	1	[	[	X
ejpam-6490	595	2	33	33	NUM
ejpam-6490	595	3	]	]	PUNCT
ejpam-6490	595	4	sadaf	sadaf	NOUN
ejpam-6490	595	5	bibi	bibi	NOUN
ejpam-6490	595	6	and	and	CCONJ
ejpam-6490	595	7	syed	syed	ADJ
ejpam-6490	595	8	tauseef	tauseef	ADJ
ejpam-6490	595	9	mohyud	mohyud	NOUN
ejpam-6490	595	10	-	-	PUNCT
ejpam-6490	595	11	din	din	NOUN
ejpam-6490	595	12	.	.	NOUN
ejpam-6490	595	13	traveling	travel	VERB
ejpam-6490	595	14	wave	wave	NOUN
ejpam-6490	595	15	solutions	solution	NOUN
ejpam-6490	595	16	of	of	ADP
ejpam-6490	595	17	kdvs	kdvs	NOUN
ejpam-6490	595	18	using	use	VERB
ejpam-6490	595	19	sine	sine	NOUN
ejpam-6490	595	20	–	–	PUNCT
ejpam-6490	595	21	cosine	cosine	NOUN
ejpam-6490	595	22	method	method	NOUN
ejpam-6490	595	23	.	.	PUNCT
ejpam-6490	596	1	journal	journal	NOUN
ejpam-6490	596	2	of	of	ADP
ejpam-6490	596	3	the	the	DET
ejpam-6490	596	4	association	association	NOUN
ejpam-6490	596	5	of	of	ADP
ejpam-6490	596	6	arab	arab	ADJ
ejpam-6490	596	7	universities	university	NOUN
ejpam-6490	596	8	for	for	ADP
ejpam-6490	596	9	basic	basic	ADJ
ejpam-6490	596	10	and	and	CCONJ
ejpam-6490	596	11	applied	applied	ADJ
ejpam-6490	596	12	sciences	science	NOUN
ejpam-6490	596	13	,	,	PUNCT
ejpam-6490	596	14	15(1):90–93	15(1):90–93	NUM
ejpam-6490	596	15	,	,	PUNCT
ejpam-6490	596	16	2014	2014	NUM
ejpam-6490	596	17	.	.	PUNCT
ejpam-6490	597	1	[	[	X
ejpam-6490	597	2	34	34	NUM
ejpam-6490	597	3	]	]	X
ejpam-6490	597	4	sachin	sachin	PROPN
ejpam-6490	597	5	kumar	kumar	PROPN
ejpam-6490	597	6	and	and	CCONJ
ejpam-6490	597	7	shubham	shubham	PROPN
ejpam-6490	597	8	kumar	kumar	PROPN
ejpam-6490	597	9	dhiman	dhiman	PROPN
ejpam-6490	597	10	.	.	PUNCT
ejpam-6490	598	1	lie	lie	PROPN
ejpam-6490	598	2	symmetry	symmetry	NOUN
ejpam-6490	598	3	analysis	analysis	NOUN
ejpam-6490	598	4	,	,	PUNCT
ejpam-6490	598	5	optimal	optimal	ADJ
ejpam-6490	598	6	system	system	NOUN
ejpam-6490	598	7	,	,	PUNCT
ejpam-6490	598	8	exact	exact	ADJ
ejpam-6490	598	9	solutions	solution	NOUN
ejpam-6490	598	10	and	and	CCONJ
ejpam-6490	598	11	dynamics	dynamic	NOUN
ejpam-6490	598	12	of	of	ADP
ejpam-6490	598	13	solitons	soliton	NOUN
ejpam-6490	598	14	of	of	ADP
ejpam-6490	598	15	a	a	DET
ejpam-6490	598	16	(	(	PUNCT
ejpam-6490	598	17	3	3	NUM
ejpam-6490	598	18	+	+	NUM
ejpam-6490	598	19	1)-dimensional	1)-dimensional	NUM
ejpam-6490	598	20	generalised	generalise	VERB
ejpam-6490	598	21	bkp	bkp	NOUN
ejpam-6490	598	22	–	–	PUNCT
ejpam-6490	598	23	boussinesq	boussinesq	ADJ
ejpam-6490	598	24	equation	equation	NOUN
ejpam-6490	598	25	.	.	PUNCT
ejpam-6490	599	1	pramana	pramana	PROPN
ejpam-6490	599	2	,	,	PUNCT
ejpam-6490	599	3	96(1):31	96(1):31	NUM
ejpam-6490	599	4	,	,	PUNCT
ejpam-6490	599	5	2022	2022	NUM
ejpam-6490	599	6	.	.	PUNCT
ejpam-6490	600	1	[	[	X
ejpam-6490	600	2	35	35	NUM
ejpam-6490	600	3	]	]	PUNCT
ejpam-6490	600	4	hongyu	hongyu	PROPN
ejpam-6490	600	5	luo	luo	PROPN
ejpam-6490	600	6	,	,	PUNCT
ejpam-6490	600	7	chunxiao	chunxiao	PROPN
ejpam-6490	600	8	guo	guo	PROPN
ejpam-6490	600	9	,	,	PUNCT
ejpam-6490	600	10	yanfeng	yanfeng	NOUN
ejpam-6490	600	11	guo	guo	PROPN
ejpam-6490	600	12	,	,	PUNCT
ejpam-6490	600	13	and	and	CCONJ
ejpam-6490	600	14	jingyi	jingyi	NOUN
ejpam-6490	600	15	cui	cui	NOUN
ejpam-6490	600	16	.	.	PUNCT
ejpam-6490	600	17	breathing	breathing	NOUN
ejpam-6490	600	18	wave	wave	NOUN
ejpam-6490	600	19	solutions	solution	NOUN
ejpam-6490	600	20	and	and	CCONJ
ejpam-6490	600	21	w.	w.	PROPN
ejpam-6490	600	22	w.	w.	PROPN
ejpam-6490	600	23	mohammed	mohammed	PROPN
ejpam-6490	600	24	et	et	PROPN
ejpam-6490	600	25	al	al	PROPN
ejpam-6490	600	26	.	.	PUNCT
ejpam-6490	600	27	/	/	SYM
ejpam-6490	600	28	eur	eur	PROPN
ejpam-6490	600	29	.	.	PUNCT
ejpam-6490	601	1	j.	j.	PROPN
ejpam-6490	601	2	pure	pure	PROPN
ejpam-6490	601	3	appl	appl	PROPN
ejpam-6490	601	4	.	.	PROPN
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ejpam-6490	601	6	,	,	PUNCT
ejpam-6490	601	7	18	18	NUM
ejpam-6490	601	8	(	(	PUNCT
ejpam-6490	601	9	3	3	NUM
ejpam-6490	601	10	)	)	PUNCT
ejpam-6490	601	11	(	(	PUNCT
ejpam-6490	601	12	2025	2025	NUM
ejpam-6490	601	13	)	)	PUNCT
ejpam-6490	601	14	,	,	PUNCT
ejpam-6490	601	15	6490	6490	NUM
ejpam-6490	601	16	22	22	NUM
ejpam-6490	601	17	of	of	ADP
ejpam-6490	601	18	23	23	NUM
ejpam-6490	601	19	y	y	ADJ
ejpam-6490	601	20	-	-	PUNCT
ejpam-6490	601	21	type	type	NOUN
ejpam-6490	601	22	soliton	soliton	NOUN
ejpam-6490	601	23	soluions	soluion	NOUN
ejpam-6490	601	24	of	of	ADP
ejpam-6490	601	25	the	the	DET
ejpam-6490	601	26	new	new	ADJ
ejpam-6490	601	27	(	(	PUNCT
ejpam-6490	601	28	3	3	NUM
ejpam-6490	601	29	+	+	NUM
ejpam-6490	601	30	1)-dimensional	1)-dimensional	PROPN
ejpam-6490	601	31	pkp	pkp	PROPN
ejpam-6490	601	32	-	-	PUNCT
ejpam-6490	601	33	bkp	bkp	PROPN
ejpam-6490	601	34	equation	equation	NOUN
ejpam-6490	601	35	.	.	PUNCT
ejpam-6490	602	1	nonlinear	nonlinear	ADJ
ejpam-6490	602	2	dynamics	dynamic	NOUN
ejpam-6490	602	3	,	,	PUNCT
ejpam-6490	602	4	112(22):20129–20139	112(22):20129–20139	NUM
ejpam-6490	602	5	,	,	PUNCT
ejpam-6490	602	6	2024	2024	NUM
ejpam-6490	602	7	.	.	PUNCT
ejpam-6490	603	1	[	[	X
ejpam-6490	603	2	36	36	NUM
ejpam-6490	603	3	]	]	X
ejpam-6490	603	4	mustafa	mustafa	PROPN
ejpam-6490	603	5	inc	inc	PROPN
ejpam-6490	603	6	,	,	PUNCT
ejpam-6490	603	7	abdullahi	abdullahi	PROPN
ejpam-6490	603	8	yusuf	yusuf	PROPN
ejpam-6490	603	9	,	,	PUNCT
ejpam-6490	603	10	aliyu	aliyu	NOUN
ejpam-6490	603	11	isa	isa	PROPN
ejpam-6490	603	12	aliyu	aliyu	NOUN
ejpam-6490	603	13	,	,	PUNCT
ejpam-6490	603	14	and	and	CCONJ
ejpam-6490	603	15	dumitru	dumitru	PROPN
ejpam-6490	603	16	baleanu	baleanu	NOUN
ejpam-6490	603	17	.	.	PUNCT
ejpam-6490	603	18	soliton	soliton	NOUN
ejpam-6490	603	19	solutions	solution	NOUN
ejpam-6490	603	20	and	and	CCONJ
ejpam-6490	603	21	stability	stability	NOUN
ejpam-6490	603	22	analysis	analysis	NOUN
ejpam-6490	603	23	for	for	ADP
ejpam-6490	603	24	some	some	DET
ejpam-6490	603	25	conformable	conformable	ADJ
ejpam-6490	603	26	nonlinear	nonlinear	ADJ
ejpam-6490	603	27	partial	partial	ADJ
ejpam-6490	603	28	differential	differential	ADJ
ejpam-6490	603	29	equations	equation	NOUN
ejpam-6490	603	30	in	in	ADP
ejpam-6490	603	31	mathematical	mathematical	ADJ
ejpam-6490	603	32	physics	physic	NOUN
ejpam-6490	603	33	.	.	PUNCT
ejpam-6490	604	1	optical	optical	ADJ
ejpam-6490	604	2	and	and	CCONJ
ejpam-6490	604	3	quantum	quantum	NOUN
ejpam-6490	604	4	electronics	electronic	NOUN
ejpam-6490	604	5	,	,	PUNCT
ejpam-6490	604	6	50:1–14	50:1–14	NUM
ejpam-6490	604	7	,	,	PUNCT
ejpam-6490	604	8	2018	2018	NUM
ejpam-6490	604	9	.	.	PUNCT
ejpam-6490	605	1	[	[	X
ejpam-6490	605	2	37	37	NUM
ejpam-6490	605	3	]	]	X
ejpam-6490	605	4	mina	mina	PROPN
ejpam-6490	605	5	m	m	PROPN
ejpam-6490	605	6	fahim	fahim	PROPN
ejpam-6490	605	7	,	,	PUNCT
ejpam-6490	605	8	hamdy	hamdy	PROPN
ejpam-6490	605	9	m	m	PROPN
ejpam-6490	605	10	ahmed	ahmed	PROPN
ejpam-6490	605	11	,	,	PUNCT
ejpam-6490	605	12	ka	ka	PROPN
ejpam-6490	605	13	dib	dib	PROPN
ejpam-6490	605	14	,	,	PUNCT
ejpam-6490	605	15	m	m	PROPN
ejpam-6490	605	16	elsaid	elsaid	ADJ
ejpam-6490	605	17	ramadan	ramadan	PROPN
ejpam-6490	605	18	,	,	PUNCT
ejpam-6490	605	19	and	and	CCONJ
ejpam-6490	605	20	islam	islam	PROPN
ejpam-6490	605	21	samir	samir	PROPN
ejpam-6490	605	22	.	.	PUNCT
ejpam-6490	606	1	constructing	construct	VERB
ejpam-6490	606	2	the	the	DET
ejpam-6490	606	3	soliton	soliton	NOUN
ejpam-6490	606	4	wave	wave	NOUN
ejpam-6490	606	5	structure	structure	NOUN
ejpam-6490	606	6	and	and	CCONJ
ejpam-6490	606	7	stability	stability	NOUN
ejpam-6490	606	8	analysis	analysis	NOUN
ejpam-6490	606	9	to	to	ADP
ejpam-6490	606	10	generalized	generalize	VERB
ejpam-6490	606	11	calogero	calogero	NOUN
ejpam-6490	606	12	–	–	PUNCT
ejpam-6490	606	13	bogoyavlenskii	bogoyavlenskii	ADJ
ejpam-6490	606	14	–	–	PUNCT
ejpam-6490	606	15	schiff	schiff	NOUN
ejpam-6490	606	16	equation	equation	NOUN
ejpam-6490	606	17	using	use	VERB
ejpam-6490	606	18	improved	improve	VERB
ejpam-6490	606	19	simple	simple	ADJ
ejpam-6490	606	20	equation	equation	NOUN
ejpam-6490	606	21	method	method	NOUN
ejpam-6490	606	22	.	.	PUNCT
ejpam-6490	607	1	aims	aim	VERB
ejpam-6490	607	2	mathematics	mathematic	NOUN
ejpam-6490	607	3	,	,	PUNCT
ejpam-6490	607	4	10(5):11052	10(5):11052	NUM
ejpam-6490	607	5	–	–	PUNCT
ejpam-6490	607	6	11070	11070	NUM
ejpam-6490	607	7	,	,	PUNCT
ejpam-6490	607	8	2025	2025	NUM
ejpam-6490	607	9	.	.	PUNCT
ejpam-6490	608	1	appendix	appendix	VERB
ejpam-6490	608	2	a	a	PRON
ejpam-6490	608	3	in	in	ADP
ejpam-6490	608	4	this	this	DET
ejpam-6490	608	5	part	part	NOUN
ejpam-6490	608	6	,	,	PUNCT
ejpam-6490	608	7	we	we	PRON
ejpam-6490	608	8	show	show	VERB
ejpam-6490	608	9	all	all	DET
ejpam-6490	608	10	types	type	NOUN
ejpam-6490	608	11	of	of	ADP
ejpam-6490	608	12	solutions	solution	NOUN
ejpam-6490	608	13	for	for	ADP
ejpam-6490	608	14	eq	eq	PROPN
ejpam-6490	608	15	.	.	PUNCT
ejpam-6490	609	1	(	(	PUNCT
ejpam-6490	609	2	6	6	NUM
ejpam-6490	609	3	)	)	PUNCT
ejpam-6490	609	4	as	as	SCONJ
ejpam-6490	609	5	shown	show	VERB
ejpam-6490	609	6	in	in	ADP
ejpam-6490	609	7	[	[	X
ejpam-6490	609	8	28	28	NUM
ejpam-6490	609	9	,	,	PUNCT
ejpam-6490	609	10	29	29	NUM
ejpam-6490	609	11	]	]	PUNCT
ejpam-6490	609	12	.	.	PUNCT
ejpam-6490	610	1	family	family	NOUN
ejpam-6490	610	2	(	(	PUNCT
ejpam-6490	610	3	1	1	NUM
ejpam-6490	610	4	):	):	PUNCT
ejpam-6490	610	5	τ0	τ0	NOUN
ejpam-6490	610	6	=	=	SYM
ejpam-6490	610	7	τ1	τ1	NOUN
ejpam-6490	610	8	=	=	SYM
ejpam-6490	610	9	τ3	τ3	NOUN
ejpam-6490	610	10	=	=	SYM
ejpam-6490	610	11	0	0	NUM
ejpam-6490	610	12	,	,	PUNCT
ejpam-6490	610	13	w(η	w(η	PROPN
ejpam-6490	610	14	)	)	PUNCT
ejpam-6490	610	15	=	=	SYM
ejpam-6490	610	16	√	√	NUM
ejpam-6490	610	17	−τ2	−τ2	PROPN
ejpam-6490	610	18	τ4	τ4	PROPN
ejpam-6490	610	19	sech	sech	PROPN
ejpam-6490	610	20	(	(	PUNCT
ejpam-6490	610	21	√	√	PROPN
ejpam-6490	610	22	τ2	τ2	PROPN
ejpam-6490	610	23	η	η	PROPN
ejpam-6490	610	24	)	)	PUNCT
ejpam-6490	610	25	,	,	PUNCT
ejpam-6490	610	26	τ2	τ2	NOUN
ejpam-6490	610	27	>	>	X
ejpam-6490	610	28	0	0	NUM
ejpam-6490	610	29	,	,	PUNCT
ejpam-6490	610	30	τ4	τ4	NOUN
ejpam-6490	610	31	<	<	X
ejpam-6490	610	32	0	0	NUM
ejpam-6490	610	33	,	,	PUNCT
ejpam-6490	610	34	w(η	w(η	PROPN
ejpam-6490	610	35	)	)	PUNCT
ejpam-6490	610	36	=	=	SYM
ejpam-6490	610	37	√	√	PROPN
ejpam-6490	610	38	−τ2	−τ2	PROPN
ejpam-6490	610	39	τ4	τ4	PROPN
ejpam-6490	610	40	sec	sec	PROPN
ejpam-6490	610	41	(	(	PUNCT
ejpam-6490	610	42	√	√	PROPN
ejpam-6490	610	43	−τ2	−τ2	PROPN
ejpam-6490	610	44	η	η	PROPN
ejpam-6490	610	45	)	)	PUNCT
ejpam-6490	610	46	,	,	PUNCT
ejpam-6490	610	47	τ2	τ2	VERB
ejpam-6490	610	48	<	<	X
ejpam-6490	610	49	0	0	NUM
ejpam-6490	610	50	,	,	PUNCT
ejpam-6490	610	51	τ4	τ4	PROPN
ejpam-6490	610	52	>	>	X
ejpam-6490	610	53	0	0	NUM
ejpam-6490	610	54	,	,	PUNCT
ejpam-6490	610	55	w(η	w(η	PROPN
ejpam-6490	610	56	)	)	PUNCT
ejpam-6490	611	1	=	=	SYM
ejpam-6490	611	2	−ε	−ε	PROPN
ejpam-6490	611	3	√	√	PROPN
ejpam-6490	611	4	τ4	τ4	PROPN
ejpam-6490	611	5	η	η	PROPN
ejpam-6490	611	6	,	,	PUNCT
ejpam-6490	611	7	τ2	τ2	PROPN
ejpam-6490	611	8	=	=	SYM
ejpam-6490	611	9	0	0	NUM
ejpam-6490	611	10	,	,	PUNCT
ejpam-6490	611	11	τ4	τ4	NOUN
ejpam-6490	611	12	>	>	X
ejpam-6490	611	13	0	0	X
ejpam-6490	611	14	.	.	PUNCT
ejpam-6490	612	1	family	family	NOUN
ejpam-6490	612	2	(	(	PUNCT
ejpam-6490	612	3	2	2	NUM
ejpam-6490	612	4	):	):	PUNCT
ejpam-6490	612	5	τ1	τ1	NOUN
ejpam-6490	612	6	=	=	SYM
ejpam-6490	612	7	τ3	τ3	NOUN
ejpam-6490	612	8	=	=	SYM
ejpam-6490	612	9	0	0	NUM
ejpam-6490	612	10	,	,	PUNCT
ejpam-6490	612	11	w(η	w(η	PROPN
ejpam-6490	612	12	)	)	PUNCT
ejpam-6490	612	13	=	=	SYM
ejpam-6490	612	14	ε	ε	PROPN
ejpam-6490	612	15	√	√	NOUN
ejpam-6490	612	16	−	−	PROPN
ejpam-6490	612	17	τ2	τ2	PROPN
ejpam-6490	612	18	2τ4	2τ4	NUM
ejpam-6490	612	19	tanh	tanh	NOUN
ejpam-6490	612	20	(	(	PUNCT
ejpam-6490	612	21	√	√	PROPN
ejpam-6490	612	22	−τ2	−τ2	PROPN
ejpam-6490	612	23	2	2	NUM
ejpam-6490	612	24	η	η	NOUN
ejpam-6490	612	25	)	)	PUNCT
ejpam-6490	612	26	,	,	PUNCT
ejpam-6490	612	27	τ2	τ2	VERB
ejpam-6490	612	28	<	<	X
ejpam-6490	612	29	0	0	NUM
ejpam-6490	612	30	,	,	PUNCT
ejpam-6490	612	31	τ4	τ4	PROPN
ejpam-6490	612	32	>	>	X
ejpam-6490	612	33	0	0	PROPN
ejpam-6490	612	34	,	,	PUNCT
ejpam-6490	612	35	τ0	τ0	NOUN
ejpam-6490	612	36	=	=	PUNCT
ejpam-6490	613	1	τ22	τ22	ADV
ejpam-6490	613	2	4τ4	4τ4	NUM
ejpam-6490	613	3	,	,	PUNCT
ejpam-6490	613	4	w(η	w(η	PROPN
ejpam-6490	613	5	)	)	PUNCT
ejpam-6490	613	6	=	=	SYM
ejpam-6490	613	7	ε	ε	PROPN
ejpam-6490	613	8	√	√	NOUN
ejpam-6490	613	9	τ2	τ2	PROPN
ejpam-6490	613	10	2τ4	2τ4	NUM
ejpam-6490	613	11	tan	tan	PROPN
ejpam-6490	613	12	(	(	PUNCT
ejpam-6490	613	13	√	√	NOUN
ejpam-6490	613	14	τ2	τ2	PROPN
ejpam-6490	613	15	2	2	NUM
ejpam-6490	613	16	η	η	NOUN
ejpam-6490	613	17	)	)	PUNCT
ejpam-6490	613	18	,	,	PUNCT
ejpam-6490	613	19	τ2	τ2	VERB
ejpam-6490	613	20	>	>	X
ejpam-6490	613	21	0	0	NUM
ejpam-6490	613	22	,	,	PUNCT
ejpam-6490	613	23	τ4	τ4	PROPN
ejpam-6490	613	24	>	>	X
ejpam-6490	613	25	0	0	PROPN
ejpam-6490	613	26	,	,	PUNCT
ejpam-6490	613	27	τ0	τ0	NOUN
ejpam-6490	613	28	=	=	PUNCT
ejpam-6490	614	1	τ22	τ22	ADV
ejpam-6490	614	2	4τ4	4τ4	NUM
ejpam-6490	614	3	,	,	PUNCT
ejpam-6490	614	4	w(η	w(η	PROPN
ejpam-6490	614	5	)	)	PUNCT
ejpam-6490	614	6	=	=	SYM
ejpam-6490	614	7	√	√	NUM
ejpam-6490	615	1	−τ2	−τ2	NUM
ejpam-6490	615	2	m	m	VERB
ejpam-6490	615	3	2	2	NUM
ejpam-6490	615	4	τ4(2m2	τ4(2m2	NUM
ejpam-6490	615	5	−	−	NUM
ejpam-6490	615	6	1	1	X
ejpam-6490	615	7	)	)	PUNCT
ejpam-6490	615	8	cn	cn	NOUN
ejpam-6490	615	9	(	(	PUNCT
ejpam-6490	615	10	√	√	ADP
ejpam-6490	615	11	τ2	τ2	PROPN
ejpam-6490	615	12	2m2	2m2	NUM
ejpam-6490	615	13	−	−	PROPN
ejpam-6490	615	14	1	1	NUM
ejpam-6490	615	15	η	η	PROPN
ejpam-6490	615	16	)	)	PUNCT
ejpam-6490	615	17	,	,	PUNCT
ejpam-6490	615	18	τ2	τ2	VERB
ejpam-6490	615	19	>	>	X
ejpam-6490	615	20	0	0	NUM
ejpam-6490	615	21	,	,	PUNCT
ejpam-6490	615	22	τ4	τ4	NOUN
ejpam-6490	615	23	<	<	X
ejpam-6490	615	24	0	0	PROPN
ejpam-6490	615	25	,	,	PUNCT
ejpam-6490	615	26	τ0	τ0	NOUN
ejpam-6490	615	27	=	=	PUNCT
ejpam-6490	616	1	τ22	τ22	PRON
ejpam-6490	616	2	m	m	VERB
ejpam-6490	616	3	2(1−m2	2(1−m2	NOUN
ejpam-6490	616	4	)	)	PUNCT
ejpam-6490	616	5	τ4(2m2	τ4(2m2	X
ejpam-6490	616	6	−	−	PROPN
ejpam-6490	616	7	1)2	1)2	NUM
ejpam-6490	616	8	,	,	PUNCT
ejpam-6490	616	9	w(η	w(η	PROPN
ejpam-6490	616	10	)	)	PUNCT
ejpam-6490	616	11	=	=	SYM
ejpam-6490	616	12	√	√	PROPN
ejpam-6490	616	13	−m2	−m2	NOUN
ejpam-6490	616	14	τ4(2−m2	τ4(2−m2	NOUN
ejpam-6490	616	15	)	)	PUNCT
ejpam-6490	616	16	dn	dn	NOUN
ejpam-6490	616	17	(	(	PUNCT
ejpam-6490	616	18	√	√	NOUN
ejpam-6490	616	19	τ2	τ2	PROPN
ejpam-6490	616	20	2−m2	2−m2	NUM
ejpam-6490	616	21	η	η	NOUN
ejpam-6490	616	22	)	)	PUNCT
ejpam-6490	616	23	,	,	PUNCT
ejpam-6490	616	24	τ2	τ2	VERB
ejpam-6490	616	25	>	>	X
ejpam-6490	616	26	0	0	NUM
ejpam-6490	616	27	,	,	PUNCT
ejpam-6490	616	28	τ4	τ4	NOUN
ejpam-6490	616	29	<	<	X
ejpam-6490	616	30	0	0	PROPN
ejpam-6490	616	31	,	,	PUNCT
ejpam-6490	616	32	τ0	τ0	NOUN
ejpam-6490	616	33	=	=	PUNCT
ejpam-6490	616	34	τ22	τ22	INTJ
ejpam-6490	616	35	(	(	PUNCT
ejpam-6490	616	36	1−m2	1−m2	NUM
ejpam-6490	616	37	)	)	PUNCT
ejpam-6490	616	38	τ4(2−m2)2	τ4(2−m2)2	NOUN
ejpam-6490	616	39	,	,	PUNCT
ejpam-6490	616	40	w(η	w(η	PROPN
ejpam-6490	616	41	)	)	PUNCT
ejpam-6490	616	42	=	=	SYM
ejpam-6490	616	43	ε	ε	PROPN
ejpam-6490	616	44	√	√	NOUN
ejpam-6490	616	45	−	−	PROPN
ejpam-6490	616	46	τ2	τ2	PROPN
ejpam-6490	616	47	m	m	NOUN
ejpam-6490	616	48	2	2	NUM
ejpam-6490	616	49	τ4(1	τ4(1	NOUN
ejpam-6490	616	50	+	+	ADJ
ejpam-6490	616	51	m2	m2	PROPN
ejpam-6490	616	52	)	)	PUNCT
ejpam-6490	616	53	sn	sn	NOUN
ejpam-6490	616	54	(	(	PUNCT
ejpam-6490	616	55	√	√	NUM
ejpam-6490	616	56	−	−	NOUN
ejpam-6490	616	57	τ2	τ2	PROPN
ejpam-6490	616	58	1	1	NUM
ejpam-6490	616	59	+	+	NUM
ejpam-6490	616	60	m2	m2	PROPN
ejpam-6490	616	61	η	η	PROPN
ejpam-6490	616	62	)	)	PUNCT
ejpam-6490	616	63	,	,	PUNCT
ejpam-6490	616	64	τ2	τ2	VERB
ejpam-6490	616	65	<	<	X
ejpam-6490	616	66	0	0	NUM
ejpam-6490	616	67	,	,	PUNCT
ejpam-6490	616	68	τ4	τ4	PROPN
ejpam-6490	616	69	>	>	X
ejpam-6490	616	70	0	0	PROPN
ejpam-6490	616	71	,	,	PUNCT
ejpam-6490	616	72	τ0	τ0	NOUN
ejpam-6490	616	73	=	=	PUNCT
ejpam-6490	617	1	τ22	τ22	NUM
ejpam-6490	617	2	m	m	VERB
ejpam-6490	617	3	2	2	NUM
ejpam-6490	617	4	τ4(m2	τ4(m2	ADP
ejpam-6490	617	5	+	+	NOUN
ejpam-6490	618	1	1)2	1)2	NUM
ejpam-6490	618	2	,	,	PUNCT
ejpam-6490	618	3	where	where	SCONJ
ejpam-6490	618	4	m	m	NOUN
ejpam-6490	618	5	is	be	AUX
ejpam-6490	618	6	the	the	DET
ejpam-6490	618	7	modulus	modulus	NOUN
ejpam-6490	618	8	of	of	ADP
ejpam-6490	618	9	the	the	DET
ejpam-6490	618	10	jacobi	jacobi	PROPN
ejpam-6490	618	11	elliptic	elliptic	ADJ
ejpam-6490	618	12	functions	function	NOUN
ejpam-6490	618	13	,	,	PUNCT
ejpam-6490	618	14	0	0	NUM
ejpam-6490	618	15	≤	≤	NUM
ejpam-6490	618	16	m	m	VERB
ejpam-6490	618	17	≤	≤	NOUN
ejpam-6490	618	18	1	1	NUM
ejpam-6490	618	19	.	.	PUNCT
ejpam-6490	619	1	family	family	NOUN
ejpam-6490	619	2	(	(	PUNCT
ejpam-6490	619	3	3	3	NUM
ejpam-6490	619	4	):	):	PUNCT
ejpam-6490	619	5	τ2	τ2	PROPN
ejpam-6490	619	6	=	=	SYM
ejpam-6490	619	7	τ4	τ4	NOUN
ejpam-6490	619	8	=	=	SYM
ejpam-6490	619	9	0	0	NUM
ejpam-6490	619	10	,	,	PUNCT
ejpam-6490	619	11	τ0	τ0	NOUN
ejpam-6490	619	12	̸=	̸=	PROPN
ejpam-6490	619	13	0	0	NUM
ejpam-6490	619	14	,	,	PUNCT
ejpam-6490	619	15	τ1	τ1	ADP
ejpam-6490	619	16	̸=	̸=	PROPN
ejpam-6490	619	17	0	0	NUM
ejpam-6490	619	18	,	,	PUNCT
ejpam-6490	619	19	τ3	τ3	NOUN
ejpam-6490	619	20	>	>	X
ejpam-6490	619	21	0	0	PROPN
ejpam-6490	619	22	,	,	PUNCT
ejpam-6490	619	23	a	a	DET
ejpam-6490	619	24	weierstrass	weierstrass	NOUN
ejpam-6490	619	25	elliptic	elliptic	ADJ
ejpam-6490	619	26	doubly	doubly	ADV
ejpam-6490	619	27	periodic	periodic	ADJ
ejpam-6490	619	28	type	type	NOUN
ejpam-6490	619	29	solution	solution	NOUN
ejpam-6490	619	30	is	be	AUX
ejpam-6490	619	31	obtained	obtain	VERB
ejpam-6490	619	32	:	:	PUNCT
ejpam-6490	619	33	w(η	w(η	PROPN
ejpam-6490	619	34	)	)	PUNCT
ejpam-6490	619	35	=	=	PUNCT
ejpam-6490	619	36	℘	℘	PROPN
ejpam-6490	619	37	[	[	PUNCT
ejpam-6490	619	38	√	√	NUM
ejpam-6490	619	39	τ3	τ3	NOUN
ejpam-6490	619	40	2	2	NUM
ejpam-6490	619	41	η	η	PROPN
ejpam-6490	619	42	,	,	PUNCT
ejpam-6490	619	43	a2	a2	PROPN
ejpam-6490	619	44	,	,	PUNCT
ejpam-6490	619	45	a3	a3	NOUN
ejpam-6490	619	46	]	]	PUNCT
ejpam-6490	619	47	,	,	PUNCT
ejpam-6490	620	1	w.	w.	PROPN
ejpam-6490	620	2	w.	w.	PROPN
ejpam-6490	620	3	mohammed	mohammed	PROPN
ejpam-6490	620	4	et	et	PROPN
ejpam-6490	620	5	al	al	PROPN
ejpam-6490	620	6	.	.	PUNCT
ejpam-6490	620	7	/	/	SYM
ejpam-6490	620	8	eur	eur	PROPN
ejpam-6490	620	9	.	.	PUNCT
ejpam-6490	621	1	j.	j.	PROPN
ejpam-6490	621	2	pure	pure	PROPN
ejpam-6490	621	3	appl	appl	PROPN
ejpam-6490	621	4	.	.	PROPN
ejpam-6490	621	5	math	math	PROPN
ejpam-6490	621	6	,	,	PUNCT
ejpam-6490	621	7	18	18	NUM
ejpam-6490	621	8	(	(	PUNCT
ejpam-6490	621	9	3	3	NUM
ejpam-6490	621	10	)	)	PUNCT
ejpam-6490	621	11	(	(	PUNCT
ejpam-6490	621	12	2025	2025	NUM
ejpam-6490	621	13	)	)	PUNCT
ejpam-6490	621	14	,	,	PUNCT
ejpam-6490	621	15	6490	6490	NUM
ejpam-6490	621	16	23	23	NUM
ejpam-6490	621	17	of	of	ADP
ejpam-6490	621	18	23	23	NUM
ejpam-6490	621	19	where	where	SCONJ
ejpam-6490	621	20	a2	a2	PROPN
ejpam-6490	621	21	=	=	SYM
ejpam-6490	621	22	−4f1	−4f1	PUNCT
ejpam-6490	621	23	f3	f3	NOUN
ejpam-6490	621	24	and	and	CCONJ
ejpam-6490	621	25	a3	a3	NOUN
ejpam-6490	621	26	=	=	SYM
ejpam-6490	622	1	−4f0	−4f0	NUM
ejpam-6490	622	2	f3	f3	PROPN
ejpam-6490	622	3	are	be	AUX
ejpam-6490	622	4	called	call	VERB
ejpam-6490	622	5	weierstrass	weierstrass	NOUN
ejpam-6490	622	6	elliptic	elliptic	ADJ
ejpam-6490	622	7	function	function	NOUN
ejpam-6490	622	8	in	in	ADP
ejpam-6490	622	9	-	-	PUNCT
ejpam-6490	622	10	variants	variant	NOUN
ejpam-6490	622	11	.	.	PUNCT
ejpam-6490	623	1	family	family	NOUN
ejpam-6490	623	2	(	(	PUNCT
ejpam-6490	623	3	4	4	NUM
ejpam-6490	623	4	):	):	PUNCT
ejpam-6490	623	5	τ3	τ3	NOUN
ejpam-6490	623	6	=	=	SYM
ejpam-6490	623	7	τ4	τ4	PROPN
ejpam-6490	623	8	=	=	SYM
ejpam-6490	623	9	0	0	NUM
ejpam-6490	623	10	,	,	PUNCT
ejpam-6490	623	11	w(η	w(η	PROPN
ejpam-6490	623	12	)	)	PUNCT
ejpam-6490	623	13	=	=	SYM
ejpam-6490	623	14	−	−	PROPN
ejpam-6490	623	15	τ1	τ1	NOUN
ejpam-6490	623	16	2τ2	2τ2	NUM
ejpam-6490	623	17	+	+	NUM
ejpam-6490	623	18	exp	exp	NOUN
ejpam-6490	623	19	(	(	PUNCT
ejpam-6490	623	20	ε	ε	PROPN
ejpam-6490	623	21	√	√	PROPN
ejpam-6490	623	22	τ2	τ2	PROPN
ejpam-6490	623	23	η	η	PROPN
ejpam-6490	623	24	)	)	PUNCT
ejpam-6490	623	25	,	,	PUNCT
ejpam-6490	623	26	τ2	τ2	VERB
ejpam-6490	623	27	>	>	X
ejpam-6490	623	28	0	0	NUM
ejpam-6490	623	29	,	,	PUNCT
ejpam-6490	623	30	τ0	τ0	PROPN
ejpam-6490	623	31	=	=	SYM
ejpam-6490	623	32	τ21	τ21	PROPN
ejpam-6490	623	33	4τ2	4τ2	NUM
ejpam-6490	623	34	,	,	PUNCT
ejpam-6490	623	35	w(η	w(η	PROPN
ejpam-6490	623	36	)	)	PUNCT
ejpam-6490	623	37	=	=	SYM
ejpam-6490	624	1	−	−	PROPN
ejpam-6490	624	2	τ1	τ1	NOUN
ejpam-6490	624	3	2τ2	2τ2	NUM
ejpam-6490	625	1	+	+	NUM
ejpam-6490	625	2	ετ1	ετ1	NOUN
ejpam-6490	625	3	2τ2	2τ2	NUM
ejpam-6490	625	4	sin	sin	NOUN
ejpam-6490	625	5	(	(	PUNCT
ejpam-6490	625	6	√	√	PROPN
ejpam-6490	625	7	−τ2	−τ2	PROPN
ejpam-6490	625	8	η	η	PROPN
ejpam-6490	625	9	)	)	PUNCT
ejpam-6490	625	10	,	,	PUNCT
ejpam-6490	625	11	τ0	τ0	PROPN
ejpam-6490	625	12	=	=	SYM
ejpam-6490	625	13	0	0	NUM
ejpam-6490	625	14	,	,	PUNCT
ejpam-6490	625	15	τ2	τ2	VERB
ejpam-6490	625	16	<	<	X
ejpam-6490	625	17	0	0	NUM
ejpam-6490	625	18	,	,	PUNCT
ejpam-6490	625	19	w(η	w(η	PROPN
ejpam-6490	625	20	)	)	PUNCT
ejpam-6490	625	21	=	=	SYM
ejpam-6490	625	22	−	−	PROPN
ejpam-6490	625	23	τ1	τ1	NOUN
ejpam-6490	625	24	2τ2	2τ2	NUM
ejpam-6490	626	1	+	+	NUM
ejpam-6490	626	2	ετ1	ετ1	NOUN
ejpam-6490	626	3	2τ2	2τ2	NUM
ejpam-6490	626	4	sinh	sinh	NOUN
ejpam-6490	626	5	(	(	PUNCT
ejpam-6490	626	6	2	2	NUM
ejpam-6490	626	7	√	√	PROPN
ejpam-6490	626	8	τ2	τ2	PROPN
ejpam-6490	626	9	η	η	PROPN
ejpam-6490	626	10	)	)	PUNCT
ejpam-6490	626	11	,	,	PUNCT
ejpam-6490	626	12	τ0	τ0	PROPN
ejpam-6490	626	13	=	=	SYM
ejpam-6490	626	14	0	0	NUM
ejpam-6490	626	15	,	,	PUNCT
ejpam-6490	626	16	τ2	τ2	VERB
ejpam-6490	626	17	>	>	X
ejpam-6490	626	18	0	0	NUM
ejpam-6490	626	19	,	,	PUNCT
ejpam-6490	626	20	w(η	w(η	PROPN
ejpam-6490	626	21	)	)	PUNCT
ejpam-6490	626	22	=	=	PUNCT
ejpam-6490	626	23	ε	ε	PROPN
ejpam-6490	626	24	√	√	NOUN
ejpam-6490	626	25	−τ0	−τ0	ADP
ejpam-6490	626	26	τ2	τ2	NOUN
ejpam-6490	626	27	sin	sin	NOUN
ejpam-6490	626	28	(	(	PUNCT
ejpam-6490	626	29	√	√	PROPN
ejpam-6490	626	30	−τ2	−τ2	PROPN
ejpam-6490	626	31	η	η	PROPN
ejpam-6490	626	32	)	)	PUNCT
ejpam-6490	626	33	,	,	PUNCT
ejpam-6490	626	34	τ1	τ1	NOUN
ejpam-6490	626	35	=	=	SYM
ejpam-6490	626	36	0	0	NUM
ejpam-6490	626	37	,	,	PUNCT
ejpam-6490	626	38	τ0	τ0	PROPN
ejpam-6490	626	39	>	>	X
ejpam-6490	626	40	0	0	NUM
ejpam-6490	626	41	,	,	PUNCT
ejpam-6490	626	42	τ2	τ2	VERB
ejpam-6490	626	43	<	<	X
ejpam-6490	626	44	0	0	NUM
ejpam-6490	626	45	,	,	PUNCT
ejpam-6490	626	46	w(η	w(η	PROPN
ejpam-6490	626	47	)	)	PUNCT
ejpam-6490	626	48	=	=	SYM
ejpam-6490	627	1	ε	ε	PROPN
ejpam-6490	627	2	√	√	NOUN
ejpam-6490	627	3	τ0	τ0	NOUN
ejpam-6490	627	4	τ2	τ2	NOUN
ejpam-6490	627	5	sinh	sinh	NOUN
ejpam-6490	627	6	(	(	PUNCT
ejpam-6490	627	7	√	√	PROPN
ejpam-6490	627	8	τ2	τ2	PROPN
ejpam-6490	627	9	η	η	PROPN
ejpam-6490	627	10	)	)	PUNCT
ejpam-6490	627	11	,	,	PUNCT
ejpam-6490	627	12	τ1	τ1	NOUN
ejpam-6490	627	13	=	=	SYM
ejpam-6490	627	14	0	0	NUM
ejpam-6490	627	15	,	,	PUNCT
ejpam-6490	627	16	τ0	τ0	PROPN
ejpam-6490	627	17	>	>	X
ejpam-6490	627	18	0	0	NUM
ejpam-6490	627	19	,	,	PUNCT
ejpam-6490	627	20	τ2	τ2	NOUN
ejpam-6490	627	21	>	>	X
ejpam-6490	627	22	0	0	X
ejpam-6490	627	23	.	.	PUNCT
ejpam-6490	628	1	family	family	NOUN
ejpam-6490	628	2	(	(	PUNCT
ejpam-6490	628	3	5	5	NUM
ejpam-6490	628	4	):	):	PUNCT
ejpam-6490	628	5	τ0	τ0	NOUN
ejpam-6490	628	6	=	=	SYM
ejpam-6490	628	7	τ1	τ1	NOUN
ejpam-6490	628	8	=	=	SYM
ejpam-6490	628	9	0	0	NUM
ejpam-6490	628	10	,	,	PUNCT
ejpam-6490	628	11	τ4	τ4	NOUN
ejpam-6490	628	12	>	>	X
ejpam-6490	628	13	0	0	NUM
ejpam-6490	628	14	,	,	PUNCT
ejpam-6490	628	15	w(η	w(η	PROPN
ejpam-6490	628	16	)	)	PUNCT
ejpam-6490	628	17	=	=	SYM
ejpam-6490	629	1	−	−	PROPN
ejpam-6490	629	2	τ2	τ2	NOUN
ejpam-6490	629	3	sec	sec	PROPN
ejpam-6490	629	4	2	2	NUM
ejpam-6490	629	5	(	(	PUNCT
ejpam-6490	629	6	√	√	NOUN
ejpam-6490	629	7	−τ2	−τ2	PROPN
ejpam-6490	629	8	2	2	NUM
ejpam-6490	629	9	η	η	NOUN
ejpam-6490	629	10	)	)	PUNCT
ejpam-6490	629	11	2ε	2ε	NOUN
ejpam-6490	630	1	√	√	PUNCT
ejpam-6490	630	2	−τ2τ4	−τ2τ4	PROPN
ejpam-6490	630	3	tan	tan	PROPN
ejpam-6490	630	4	(	(	PUNCT
ejpam-6490	630	5	√	√	PROPN
ejpam-6490	630	6	−τ2	−τ2	PROPN
ejpam-6490	630	7	2	2	NUM
ejpam-6490	630	8	η	η	NOUN
ejpam-6490	630	9	)	)	PUNCT
ejpam-6490	630	10	+	+	NUM
ejpam-6490	630	11	τ3	τ3	NOUN
ejpam-6490	630	12	,	,	PUNCT
ejpam-6490	630	13	τ2	τ2	VERB
ejpam-6490	630	14	<	<	X
ejpam-6490	630	15	0	0	NUM
ejpam-6490	630	16	,	,	PUNCT
ejpam-6490	630	17	w(η	w(η	PROPN
ejpam-6490	630	18	)	)	PUNCT
ejpam-6490	630	19	=	=	SYM
ejpam-6490	630	20	τ2sech	τ2sech	NOUN
ejpam-6490	630	21	2	2	NUM
ejpam-6490	630	22	(	(	PUNCT
ejpam-6490	630	23	√	√	NOUN
ejpam-6490	630	24	τ2	τ2	PROPN
ejpam-6490	630	25	2	2	NUM
ejpam-6490	630	26	η	η	NOUN
ejpam-6490	630	27	)	)	PUNCT
ejpam-6490	630	28	2ε	2ε	NOUN
ejpam-6490	630	29	√	√	NUM
ejpam-6490	630	30	τ2τ4	τ2τ4	PUNCT
ejpam-6490	630	31	tanh	tanh	PROPN
ejpam-6490	630	32	(	(	PUNCT
ejpam-6490	630	33	√	√	ADP
ejpam-6490	630	34	τ2	τ2	PROPN
ejpam-6490	630	35	2	2	NUM
ejpam-6490	630	36	η	η	NOUN
ejpam-6490	630	37	)	)	PUNCT
ejpam-6490	630	38	−	−	PROPN
ejpam-6490	630	39	τ3	τ3	NOUN
ejpam-6490	630	40	,	,	PUNCT
ejpam-6490	630	41	τ2	τ2	VERB
ejpam-6490	630	42	>	>	X
ejpam-6490	630	43	0	0	NUM
ejpam-6490	630	44	,	,	PUNCT
ejpam-6490	630	45	τ3	τ3	NOUN
ejpam-6490	630	46	̸=	̸=	PROPN
ejpam-6490	630	47	2ε	2ε	NOUN
ejpam-6490	630	48	√	√	NUM
ejpam-6490	630	49	τ2τ4	τ2τ4	ADP
ejpam-6490	630	50	,	,	PUNCT
ejpam-6490	630	51	w(η	w(η	PROPN
ejpam-6490	630	52	)	)	PUNCT
ejpam-6490	630	53	=	=	SYM
ejpam-6490	630	54	1	1	NUM
ejpam-6490	630	55	2	2	NUM
ejpam-6490	630	56	ε	ε	NOUN
ejpam-6490	630	57	√	√	NOUN
ejpam-6490	630	58	τ2	τ2	PROPN
ejpam-6490	630	59	τ4	τ4	NOUN
ejpam-6490	630	60	[	[	PUNCT
ejpam-6490	630	61	1	1	NUM
ejpam-6490	630	62	+	+	NUM
ejpam-6490	630	63	tanh	tanh	NOUN
ejpam-6490	630	64	(	(	PUNCT
ejpam-6490	630	65	√	√	ADP
ejpam-6490	630	66	τ2	τ2	PROPN
ejpam-6490	630	67	2	2	NUM
ejpam-6490	630	68	η	η	NOUN
ejpam-6490	630	69	)	)	PUNCT
ejpam-6490	630	70	]	]	PUNCT
ejpam-6490	630	71	,	,	PUNCT
ejpam-6490	630	72	τ2	τ2	VERB
ejpam-6490	630	73	>	>	X
ejpam-6490	630	74	0	0	NUM
ejpam-6490	630	75	,	,	PUNCT
ejpam-6490	630	76	τ3	τ3	NOUN
ejpam-6490	630	77	=	=	SYM
ejpam-6490	630	78	2ε	2ε	NOUN
ejpam-6490	630	79	√	√	NUM
ejpam-6490	630	80	τ2τ4	τ2τ4	PUNCT
ejpam-6490	630	81	.	.	PUNCT