id	sid	tid	token	lemma	pos
ejpam-6624	1	1	european	european	PROPN
ejpam-6624	1	2	journal	journal	PROPN
ejpam-6624	1	3	of	of	ADP
ejpam-6624	1	4	pure	pure	ADJ
ejpam-6624	1	5	and	and	CCONJ
ejpam-6624	1	6	applied	applied	ADJ
ejpam-6624	1	7	mathematics	mathematic	NOUN
ejpam-6624	1	8	2025	2025	NUM
ejpam-6624	1	9	,	,	PUNCT
ejpam-6624	1	10	vol	vol	NOUN
ejpam-6624	1	11	.	.	PROPN
ejpam-6624	1	12	18	18	NUM
ejpam-6624	1	13	,	,	PUNCT
ejpam-6624	1	14	issue	issue	NOUN
ejpam-6624	1	15	4	4	NUM
ejpam-6624	1	16	,	,	PUNCT
ejpam-6624	1	17	article	article	NOUN
ejpam-6624	1	18	number	number	NOUN
ejpam-6624	1	19	6624	6624	NUM
ejpam-6624	1	20	issn	issn	VERB
ejpam-6624	1	21	1307	1307	NUM
ejpam-6624	1	22	-	-	SYM
ejpam-6624	1	23	5543	5543	NUM
ejpam-6624	1	24	–	–	PUNCT
ejpam-6624	1	25	ejpam.com	ejpam.com	X
ejpam-6624	1	26	published	publish	VERB
ejpam-6624	1	27	by	by	ADP
ejpam-6624	1	28	new	new	PROPN
ejpam-6624	1	29	york	york	PROPN
ejpam-6624	1	30	business	business	PROPN
ejpam-6624	1	31	global	global	PROPN
ejpam-6624	1	32	generalized	generalize	VERB
ejpam-6624	1	33	riccati	riccati	PROPN
ejpam-6624	1	34	equation	equation	NOUN
ejpam-6624	1	35	mapping	mapping	NOUN
ejpam-6624	1	36	method	method	NOUN
ejpam-6624	1	37	:	:	PUNCT
ejpam-6624	1	38	27	27	NUM
ejpam-6624	1	39	solutions	solution	NOUN
ejpam-6624	1	40	for	for	ADP
ejpam-6624	1	41	josephson	josephson	PROPN
ejpam-6624	1	42	junctions	junction	NOUN
ejpam-6624	1	43	and	and	CCONJ
ejpam-6624	1	44	nonlinear	nonlinear	ADJ
ejpam-6624	1	45	optics	optic	NOUN
ejpam-6624	1	46	models	model	NOUN
ejpam-6624	1	47	sirasrete	sirasrete	ADJ
ejpam-6624	1	48	phoosree1	phoosree1	PROPN
ejpam-6624	1	49	,	,	PUNCT
ejpam-6624	1	50	jiraphat	jiraphat	PROPN
ejpam-6624	1	51	phookwantong2	phookwantong2	NOUN
ejpam-6624	1	52	,	,	PUNCT
ejpam-6624	1	53	marisa	marisa	PROPN
ejpam-6624	1	54	senmoh2	senmoh2	PROPN
ejpam-6624	1	55	,	,	PUNCT
ejpam-6624	1	56	jiraporn	jiraporn	NOUN
ejpam-6624	1	57	sanjun3	sanjun3	ADV
ejpam-6624	1	58	,	,	PUNCT
ejpam-6624	1	59	weerachai	weerachai	PROPN
ejpam-6624	1	60	thadee2,∗	thadee2,∗	PROPN
ejpam-6624	1	61	1	1	NUM
ejpam-6624	1	62	education	education	NOUN
ejpam-6624	1	63	program	program	NOUN
ejpam-6624	1	64	in	in	ADP
ejpam-6624	1	65	mathematics	mathematic	NOUN
ejpam-6624	1	66	,	,	PUNCT
ejpam-6624	1	67	faculty	faculty	NOUN
ejpam-6624	1	68	of	of	ADP
ejpam-6624	1	69	education	education	NOUN
ejpam-6624	1	70	,	,	PUNCT
ejpam-6624	1	71	suratthani	suratthani	PROPN
ejpam-6624	1	72	rajabhat	rajabhat	PROPN
ejpam-6624	1	73	university	university	PROPN
ejpam-6624	1	74	,	,	PUNCT
ejpam-6624	1	75	mueang	mueang	NOUN
ejpam-6624	1	76	,	,	PUNCT
ejpam-6624	1	77	suratthani	suratthani	NOUN
ejpam-6624	1	78	,	,	PUNCT
ejpam-6624	1	79	84100	84100	NUM
ejpam-6624	1	80	,	,	PUNCT
ejpam-6624	1	81	thailand	thailand	PROPN
ejpam-6624	1	82	2	2	NUM
ejpam-6624	1	83	department	department	NOUN
ejpam-6624	1	84	of	of	ADP
ejpam-6624	1	85	general	general	ADJ
ejpam-6624	1	86	education	education	NOUN
ejpam-6624	1	87	,	,	PUNCT
ejpam-6624	1	88	faculty	faculty	NOUN
ejpam-6624	1	89	of	of	ADP
ejpam-6624	1	90	liberal	liberal	ADJ
ejpam-6624	1	91	arts	art	NOUN
ejpam-6624	1	92	,	,	PUNCT
ejpam-6624	1	93	rajamangala	rajamangala	PROPN
ejpam-6624	1	94	university	university	PROPN
ejpam-6624	1	95	of	of	ADP
ejpam-6624	1	96	technology	technology	PROPN
ejpam-6624	1	97	srivijaya	srivijaya	PROPN
ejpam-6624	1	98	,	,	PUNCT
ejpam-6624	1	99	mueang	mueang	NOUN
ejpam-6624	1	100	,	,	PUNCT
ejpam-6624	1	101	songkhla	songkhla	ADJ
ejpam-6624	1	102	,	,	PUNCT
ejpam-6624	1	103	90000	90000	NUM
ejpam-6624	1	104	,	,	PUNCT
ejpam-6624	1	105	thailand	thailand	PROPN
ejpam-6624	1	106	3	3	NUM
ejpam-6624	1	107	mathematics	mathematic	NOUN
ejpam-6624	1	108	program	program	NOUN
ejpam-6624	1	109	,	,	PUNCT
ejpam-6624	1	110	faculty	faculty	NOUN
ejpam-6624	1	111	of	of	ADP
ejpam-6624	1	112	science	science	NOUN
ejpam-6624	1	113	and	and	CCONJ
ejpam-6624	1	114	technology	technology	NOUN
ejpam-6624	1	115	,	,	PUNCT
ejpam-6624	1	116	suratthani	suratthani	VERB
ejpam-6624	1	117	rajabhat	rajabhat	PROPN
ejpam-6624	1	118	university	university	PROPN
ejpam-6624	1	119	,	,	PUNCT
ejpam-6624	1	120	mueang	mueang	NOUN
ejpam-6624	1	121	,	,	PUNCT
ejpam-6624	1	122	suratthani	suratthani	NOUN
ejpam-6624	1	123	,	,	PUNCT
ejpam-6624	1	124	84100	84100	NUM
ejpam-6624	1	125	,	,	PUNCT
ejpam-6624	1	126	thailand	thailand	PROPN
ejpam-6624	1	127	abstract	abstract	PROPN
ejpam-6624	1	128	.	.	PUNCT
ejpam-6624	2	1	the	the	DET
ejpam-6624	2	2	generalized	generalize	VERB
ejpam-6624	2	3	riccati	riccati	NOUN
ejpam-6624	2	4	equation	equation	NOUN
ejpam-6624	2	5	mapping	mapping	NOUN
ejpam-6624	2	6	method	method	NOUN
ejpam-6624	2	7	,	,	PUNCT
ejpam-6624	2	8	combined	combine	VERB
ejpam-6624	2	9	with	with	ADP
ejpam-6624	2	10	jumarie	jumarie	PROPN
ejpam-6624	2	11	’s	’s	PART
ejpam-6624	2	12	riemann	riemann	PROPN
ejpam-6624	2	13	–	–	PUNCT
ejpam-6624	2	14	liouville	liouville	VERB
ejpam-6624	2	15	fractional	fractional	ADJ
ejpam-6624	2	16	derivative	derivative	NOUN
ejpam-6624	2	17	,	,	PUNCT
ejpam-6624	2	18	is	be	AUX
ejpam-6624	2	19	employed	employ	VERB
ejpam-6624	2	20	to	to	PART
ejpam-6624	2	21	obtain	obtain	VERB
ejpam-6624	2	22	27	27	NUM
ejpam-6624	2	23	distinct	distinct	ADJ
ejpam-6624	2	24	travelling	travel	VERB
ejpam-6624	2	25	wave	wave	NOUN
ejpam-6624	2	26	solutions	solution	NOUN
ejpam-6624	2	27	for	for	ADP
ejpam-6624	2	28	two	two	NUM
ejpam-6624	2	29	nonlinear	nonlinear	ADJ
ejpam-6624	2	30	space	space	NOUN
ejpam-6624	2	31	-	-	PUNCT
ejpam-6624	2	32	time	time	NOUN
ejpam-6624	2	33	fractional	fractional	ADJ
ejpam-6624	2	34	(	(	PUNCT
ejpam-6624	2	35	2	2	NUM
ejpam-6624	2	36	+	+	NOUN
ejpam-6624	2	37	1)-dimensional	1)-dimensional	ADJ
ejpam-6624	2	38	models	model	NOUN
ejpam-6624	2	39	:	:	PUNCT
ejpam-6624	2	40	the	the	DET
ejpam-6624	2	41	cubic	cubic	PROPN
ejpam-6624	2	42	klein	klein	PROPN
ejpam-6624	2	43	-	-	PUNCT
ejpam-6624	2	44	gordon	gordon	PROPN
ejpam-6624	2	45	equation	equation	NOUN
ejpam-6624	2	46	,	,	PUNCT
ejpam-6624	2	47	which	which	PRON
ejpam-6624	2	48	is	be	AUX
ejpam-6624	2	49	crucial	crucial	ADJ
ejpam-6624	2	50	for	for	ADP
ejpam-6624	2	51	describing	describe	VERB
ejpam-6624	2	52	the	the	DET
ejpam-6624	2	53	propagation	propagation	NOUN
ejpam-6624	2	54	of	of	ADP
ejpam-6624	2	55	fluxions	fluxion	NOUN
ejpam-6624	2	56	in	in	ADP
ejpam-6624	2	57	josephson	josephson	PROPN
ejpam-6624	2	58	junctions	junction	NOUN
ejpam-6624	2	59	and	and	CCONJ
ejpam-6624	2	60	the	the	DET
ejpam-6624	2	61	ablowitz	ablowitz	NOUN
ejpam-6624	2	62	-	-	PUNCT
ejpam-6624	2	63	kaup	kaup	PROPN
ejpam-6624	2	64	-	-	PUNCT
ejpam-6624	2	65	newell	newell	PROPN
ejpam-6624	2	66	-	-	PUNCT
ejpam-6624	2	67	segur	segur	NOUN
ejpam-6624	2	68	equation	equation	NOUN
ejpam-6624	2	69	,	,	PUNCT
ejpam-6624	2	70	a	a	DET
ejpam-6624	2	71	model	model	NOUN
ejpam-6624	2	72	with	with	ADP
ejpam-6624	2	73	key	key	ADJ
ejpam-6624	2	74	applications	application	NOUN
ejpam-6624	2	75	in	in	ADP
ejpam-6624	2	76	the	the	DET
ejpam-6624	2	77	field	field	NOUN
ejpam-6624	2	78	of	of	ADP
ejpam-6624	2	79	nonlinear	nonlinear	ADJ
ejpam-6624	2	80	optics	optic	NOUN
ejpam-6624	2	81	.	.	PUNCT
ejpam-6624	3	1	among	among	ADP
ejpam-6624	3	2	the	the	DET
ejpam-6624	3	3	diverse	diverse	ADJ
ejpam-6624	3	4	solutions	solution	NOUN
ejpam-6624	3	5	obtained	obtain	VERB
ejpam-6624	3	6	,	,	PUNCT
ejpam-6624	3	7	kink	kink	ADJ
ejpam-6624	3	8	and	and	CCONJ
ejpam-6624	3	9	periodic	periodic	ADJ
ejpam-6624	3	10	wave	wave	NOUN
ejpam-6624	3	11	behaviors	behavior	NOUN
ejpam-6624	3	12	were	be	AUX
ejpam-6624	3	13	identified	identify	VERB
ejpam-6624	3	14	and	and	CCONJ
ejpam-6624	3	15	graphically	graphically	ADV
ejpam-6624	3	16	represented	represent	VERB
ejpam-6624	3	17	through	through	ADP
ejpam-6624	3	18	three	three	NUM
ejpam-6624	3	19	-	-	PUNCT
ejpam-6624	3	20	dimensional	dimensional	ADJ
ejpam-6624	3	21	,	,	PUNCT
ejpam-6624	3	22	two	two	NUM
ejpam-6624	3	23	-	-	PUNCT
ejpam-6624	3	24	dimensional	dimensional	ADJ
ejpam-6624	3	25	,	,	PUNCT
ejpam-6624	3	26	and	and	CCONJ
ejpam-6624	3	27	contour	contour	NOUN
ejpam-6624	3	28	plots	plot	NOUN
ejpam-6624	3	29	to	to	PART
ejpam-6624	3	30	illustrate	illustrate	VERB
ejpam-6624	3	31	their	their	PRON
ejpam-6624	3	32	dynamic	dynamic	ADJ
ejpam-6624	3	33	characteristics	characteristic	NOUN
ejpam-6624	3	34	.	.	PUNCT
ejpam-6624	4	1	in	in	ADP
ejpam-6624	4	2	comparison	comparison	NOUN
ejpam-6624	4	3	to	to	ADP
ejpam-6624	4	4	other	other	ADJ
ejpam-6624	4	5	alternative	alternative	ADJ
ejpam-6624	4	6	methods	method	NOUN
ejpam-6624	4	7	,	,	PUNCT
ejpam-6624	4	8	the	the	DET
ejpam-6624	4	9	generalized	generalized	ADJ
ejpam-6624	4	10	riccati	riccati	NOUN
ejpam-6624	4	11	equation	equation	NOUN
ejpam-6624	4	12	mapping	mapping	NOUN
ejpam-6624	4	13	method	method	NOUN
ejpam-6624	4	14	provides	provide	VERB
ejpam-6624	4	15	a	a	DET
ejpam-6624	4	16	broader	broad	ADJ
ejpam-6624	4	17	array	array	NOUN
ejpam-6624	4	18	of	of	ADP
ejpam-6624	4	19	solutions	solution	NOUN
ejpam-6624	4	20	to	to	ADP
ejpam-6624	4	21	these	these	DET
ejpam-6624	4	22	equations	equation	NOUN
ejpam-6624	4	23	.	.	PUNCT
ejpam-6624	5	1	this	this	DET
ejpam-6624	5	2	technique	technique	NOUN
ejpam-6624	5	3	illustrates	illustrate	VERB
ejpam-6624	5	4	the	the	DET
ejpam-6624	5	5	solution	solution	NOUN
ejpam-6624	5	6	’s	’s	PART
ejpam-6624	5	7	behavior	behavior	NOUN
ejpam-6624	5	8	as	as	ADP
ejpam-6624	5	9	a	a	DET
ejpam-6624	5	10	wave	wave	NOUN
ejpam-6624	5	11	in	in	ADP
ejpam-6624	5	12	various	various	ADJ
ejpam-6624	5	13	shapes	shape	NOUN
ejpam-6624	5	14	,	,	PUNCT
ejpam-6624	5	15	as	as	SCONJ
ejpam-6624	5	16	evidenced	evidence	VERB
ejpam-6624	5	17	by	by	ADP
ejpam-6624	5	18	the	the	DET
ejpam-6624	5	19	findings	finding	NOUN
ejpam-6624	5	20	of	of	ADP
ejpam-6624	5	21	this	this	DET
ejpam-6624	5	22	research	research	NOUN
ejpam-6624	5	23	.	.	PUNCT
ejpam-6624	6	1	2020	2020	NUM
ejpam-6624	6	2	mathematics	mathematic	NOUN
ejpam-6624	6	3	subject	subject	NOUN
ejpam-6624	6	4	classifications	classification	NOUN
ejpam-6624	6	5	:	:	PUNCT
ejpam-6624	6	6	35c07	35c07	NUM
ejpam-6624	6	7	,	,	PUNCT
ejpam-6624	6	8	35g20	35g20	NUM
ejpam-6624	6	9	,	,	PUNCT
ejpam-6624	6	10	35r11	35r11	NUM
ejpam-6624	6	11	key	key	ADJ
ejpam-6624	6	12	words	word	NOUN
ejpam-6624	6	13	and	and	CCONJ
ejpam-6624	6	14	phrases	phrase	NOUN
ejpam-6624	6	15	:	:	PUNCT
ejpam-6624	6	16	fractional	fractional	ADJ
ejpam-6624	6	17	nonlinear	nonlinear	ADJ
ejpam-6624	6	18	partial	partial	ADJ
ejpam-6624	6	19	differential	differential	NOUN
ejpam-6624	6	20	equations	equation	NOUN
ejpam-6624	6	21	,	,	PUNCT
ejpam-6624	6	22	generalized	generalize	VERB
ejpam-6624	6	23	riccati	riccati	NOUN
ejpam-6624	6	24	equation	equation	NOUN
ejpam-6624	6	25	mapping	mapping	NOUN
ejpam-6624	6	26	method	method	NOUN
ejpam-6624	6	27	,	,	PUNCT
ejpam-6624	6	28	travelling	travel	VERB
ejpam-6624	6	29	wave	wave	NOUN
ejpam-6624	6	30	solutions	solution	NOUN
ejpam-6624	6	31	,	,	PUNCT
ejpam-6624	6	32	cubic	cubic	PROPN
ejpam-6624	6	33	klein	klein	PROPN
ejpam-6624	6	34	-	-	PUNCT
ejpam-6624	6	35	gordon	gordon	PROPN
ejpam-6624	6	36	equation	equation	NOUN
ejpam-6624	6	37	,	,	PUNCT
ejpam-6624	6	38	ablowitzkaup	ablowitzkaup	PROPN
ejpam-6624	6	39	-	-	PUNCT
ejpam-6624	6	40	newell	newell	PROPN
ejpam-6624	6	41	-	-	PUNCT
ejpam-6624	6	42	segur	segur	NOUN
ejpam-6624	6	43	equation	equation	NOUN
ejpam-6624	6	44	1	1	NUM
ejpam-6624	6	45	.	.	PUNCT
ejpam-6624	7	1	introduction	introduction	NOUN
ejpam-6624	7	2	nonlinear	nonlinear	PROPN
ejpam-6624	7	3	evolution	evolution	PROPN
ejpam-6624	7	4	equations	equation	NOUN
ejpam-6624	7	5	(	(	PUNCT
ejpam-6624	7	6	nlees	nlee	NOUN
ejpam-6624	7	7	)	)	PUNCT
ejpam-6624	7	8	emerge	emerge	VERB
ejpam-6624	7	9	in	in	ADP
ejpam-6624	7	10	various	various	ADJ
ejpam-6624	7	11	scientific	scientific	ADJ
ejpam-6624	7	12	and	and	CCONJ
ejpam-6624	7	13	technical	technical	ADJ
ejpam-6624	7	14	domains	domain	NOUN
ejpam-6624	7	15	,	,	PUNCT
ejpam-6624	7	16	such	such	ADJ
ejpam-6624	7	17	as	as	ADP
ejpam-6624	7	18	particle	particle	NOUN
ejpam-6624	7	19	physics	physics	PROPN
ejpam-6624	7	20	,	,	PUNCT
ejpam-6624	7	21	biophysics	biophysic	NOUN
ejpam-6624	7	22	,	,	PUNCT
ejpam-6624	7	23	beam	beam	NOUN
ejpam-6624	7	24	propagation	propagation	NOUN
ejpam-6624	7	25	,	,	PUNCT
ejpam-6624	7	26	ecology	ecology	NOUN
ejpam-6624	7	27	,	,	PUNCT
ejpam-6624	7	28	nonlinear	nonlinear	ADJ
ejpam-6624	7	29	optics	optic	NOUN
ejpam-6624	7	30	,	,	PUNCT
ejpam-6624	7	31	∗corresponding	∗corresponde	VERB
ejpam-6624	7	32	author	author	NOUN
ejpam-6624	7	33	.	.	PUNCT
ejpam-6624	8	1	doi	doi	NOUN
ejpam-6624	8	2	:	:	PUNCT
ejpam-6624	8	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6624	https://doi.org/10.29020/nybg.ejpam.v18i4.6624	PRON
ejpam-6624	8	4	email	email	NOUN
ejpam-6624	8	5	addresses	address	NOUN
ejpam-6624	8	6	:	:	PUNCT
ejpam-6624	8	7	sirasrete.pho@sru.ac.th	sirasrete.pho@sru.ac.th	PRON
ejpam-6624	8	8	(	(	PUNCT
ejpam-6624	8	9	s.	s.	PROPN
ejpam-6624	8	10	phoosree	phoosree	PROPN
ejpam-6624	8	11	)	)	PUNCT
ejpam-6624	8	12	,	,	PUNCT
ejpam-6624	8	13	jirapat.p@rmutsv.ac.th	jirapat.p@rmutsv.ac.th	PROPN
ejpam-6624	8	14	(	(	PUNCT
ejpam-6624	8	15	j.	j.	PROPN
ejpam-6624	8	16	phookwantong	phookwantong	PROPN
ejpam-6624	8	17	)	)	PUNCT
ejpam-6624	8	18	,	,	PUNCT
ejpam-6624	8	19	marisa.s@rmutsv.ac.th	marisa.s@rmutsv.ac.th	PROPN
ejpam-6624	8	20	(	(	PUNCT
ejpam-6624	8	21	m.	m.	PROPN
ejpam-6624	8	22	senmoh	senmoh	PROPN
ejpam-6624	8	23	)	)	PUNCT
ejpam-6624	8	24	,	,	PUNCT
ejpam-6624	8	25	jiraporn.san@sru.ac.th	jiraporn.san@sru.ac.th	PROPN
ejpam-6624	8	26	(	(	PUNCT
ejpam-6624	8	27	j.	j.	PROPN
ejpam-6624	8	28	sanjun	sanjun	PROPN
ejpam-6624	8	29	)	)	PUNCT
ejpam-6624	8	30	,	,	PUNCT
ejpam-6624	8	31	weerachai.t@rmutsv.ac.th	weerachai.t@rmutsv.ac.th	PROPN
ejpam-6624	8	32	(	(	PUNCT
ejpam-6624	8	33	w.	w.	PROPN
ejpam-6624	8	34	thadee	thadee	PROPN
ejpam-6624	8	35	)	)	PUNCT
ejpam-6624	8	36	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6624	9	1	1	1	NUM
ejpam-6624	9	2	copyright	copyright	NOUN
ejpam-6624	9	3	:	:	PUNCT
ejpam-6624	9	4	©	©	PROPN
ejpam-6624	9	5	2025	2025	NUM
ejpam-6624	9	6	the	the	DET
ejpam-6624	9	7	author(s	author(s	NOUN
ejpam-6624	9	8	)	)	PUNCT
ejpam-6624	9	9	.	.	PUNCT
ejpam-6624	10	1	(	(	PUNCT
ejpam-6624	10	2	cc	cc	NOUN
ejpam-6624	10	3	by	by	ADP
ejpam-6624	10	4	-	-	PUNCT
ejpam-6624	10	5	nc	nc	PROPN
ejpam-6624	10	6	4.0	4.0	NUM
ejpam-6624	10	7	)	)	PUNCT
ejpam-6624	10	8	s.	s.	PROPN
ejpam-6624	10	9	phoosree	phoosree	INTJ
ejpam-6624	10	10	et	et	PROPN
ejpam-6624	10	11	al	al	PROPN
ejpam-6624	10	12	.	.	PUNCT
ejpam-6624	10	13	/	/	SYM
ejpam-6624	10	14	eur	eur	PROPN
ejpam-6624	10	15	.	.	PUNCT
ejpam-6624	11	1	j.	j.	PROPN
ejpam-6624	11	2	pure	pure	PROPN
ejpam-6624	11	3	appl	appl	PROPN
ejpam-6624	11	4	.	.	PROPN
ejpam-6624	11	5	math	math	PROPN
ejpam-6624	11	6	,	,	PUNCT
ejpam-6624	11	7	18	18	NUM
ejpam-6624	11	8	(	(	PUNCT
ejpam-6624	11	9	4	4	NUM
ejpam-6624	11	10	)	)	PUNCT
ejpam-6624	11	11	(	(	PUNCT
ejpam-6624	11	12	2025	2025	NUM
ejpam-6624	11	13	)	)	PUNCT
ejpam-6624	11	14	,	,	PUNCT
ejpam-6624	11	15	6624	6624	NUM
ejpam-6624	11	16	2	2	NUM
ejpam-6624	11	17	of	of	ADP
ejpam-6624	11	18	24	24	NUM
ejpam-6624	11	19	fluid	fluid	ADJ
ejpam-6624	11	20	mechanics	mechanic	NOUN
ejpam-6624	11	21	,	,	PUNCT
ejpam-6624	11	22	marine	marine	ADJ
ejpam-6624	11	23	engineering	engineering	NOUN
ejpam-6624	11	24	,	,	PUNCT
ejpam-6624	11	25	elasticity	elasticity	NOUN
ejpam-6624	11	26	theory	theory	NOUN
ejpam-6624	11	27	,	,	PUNCT
ejpam-6624	11	28	solid	solid	ADJ
ejpam-6624	11	29	-	-	PUNCT
ejpam-6624	11	30	state	state	NOUN
ejpam-6624	11	31	physics	physics	NOUN
ejpam-6624	11	32	,	,	PUNCT
ejpam-6624	11	33	and	and	CCONJ
ejpam-6624	11	34	quantum	quantum	ADJ
ejpam-6624	11	35	field	field	NOUN
ejpam-6624	11	36	theory	theory	NOUN
ejpam-6624	11	37	.	.	PUNCT
ejpam-6624	12	1	they	they	PRON
ejpam-6624	12	2	offer	offer	VERB
ejpam-6624	12	3	essential	essential	ADJ
ejpam-6624	12	4	models	model	NOUN
ejpam-6624	12	5	for	for	ADP
ejpam-6624	12	6	elucidating	elucidate	VERB
ejpam-6624	12	7	intricate	intricate	ADJ
ejpam-6624	12	8	real	real	ADJ
ejpam-6624	12	9	-	-	PUNCT
ejpam-6624	12	10	world	world	NOUN
ejpam-6624	12	11	events	event	NOUN
ejpam-6624	12	12	.	.	PUNCT
ejpam-6624	13	1	exact	exact	ADJ
ejpam-6624	13	2	solutions	solution	NOUN
ejpam-6624	13	3	to	to	PART
ejpam-6624	13	4	nonlinear	nonlinear	ADJ
ejpam-6624	13	5	evolution	evolution	NOUN
ejpam-6624	13	6	equations	equation	NOUN
ejpam-6624	13	7	are	be	AUX
ejpam-6624	13	8	essential	essential	ADJ
ejpam-6624	13	9	,	,	PUNCT
ejpam-6624	13	10	as	as	SCONJ
ejpam-6624	13	11	they	they	PRON
ejpam-6624	13	12	provide	provide	VERB
ejpam-6624	13	13	crucial	crucial	ADJ
ejpam-6624	13	14	insights	insight	NOUN
ejpam-6624	13	15	into	into	ADP
ejpam-6624	13	16	the	the	DET
ejpam-6624	13	17	qualitative	qualitative	ADJ
ejpam-6624	13	18	behavior	behavior	NOUN
ejpam-6624	13	19	of	of	ADP
ejpam-6624	13	20	nonlinear	nonlinear	ADJ
ejpam-6624	13	21	systems	system	NOUN
ejpam-6624	13	22	and	and	CCONJ
ejpam-6624	13	23	act	act	NOUN
ejpam-6624	13	24	as	as	ADP
ejpam-6624	13	25	benchmarks	benchmark	NOUN
ejpam-6624	13	26	for	for	ADP
ejpam-6624	13	27	validating	validate	VERB
ejpam-6624	13	28	numerical	numerical	ADJ
ejpam-6624	13	29	approaches	approach	NOUN
ejpam-6624	13	30	and	and	CCONJ
ejpam-6624	13	31	simulations	simulation	NOUN
ejpam-6624	13	32	.	.	PUNCT
ejpam-6624	14	1	numerous	numerous	ADJ
ejpam-6624	14	2	strong	strong	ADJ
ejpam-6624	14	3	and	and	CCONJ
ejpam-6624	14	4	successful	successful	ADJ
ejpam-6624	14	5	approaches	approach	NOUN
ejpam-6624	14	6	have	have	AUX
ejpam-6624	14	7	been	be	AUX
ejpam-6624	14	8	developed	develop	VERB
ejpam-6624	14	9	to	to	PART
ejpam-6624	14	10	address	address	VERB
ejpam-6624	14	11	the	the	DET
ejpam-6624	14	12	nlees	nlee	NOUN
ejpam-6624	14	13	,	,	PUNCT
ejpam-6624	14	14	including	include	VERB
ejpam-6624	14	15	the	the	DET
ejpam-6624	14	16	kudyashov	kudyashov	PROPN
ejpam-6624	14	17	method	method	NOUN
ejpam-6624	14	18	[	[	X
ejpam-6624	14	19	1	1	NUM
ejpam-6624	14	20	]	]	PUNCT
ejpam-6624	14	21	,	,	PUNCT
ejpam-6624	14	22	generalized	generalize	VERB
ejpam-6624	14	23	kudryashov	kudryashov	ADJ
ejpam-6624	14	24	method	method	NOUN
ejpam-6624	14	25	[	[	X
ejpam-6624	14	26	2	2	NUM
ejpam-6624	14	27	]	]	PUNCT
ejpam-6624	14	28	,	,	PUNCT
ejpam-6624	14	29	first	first	ADJ
ejpam-6624	14	30	integral	integral	ADJ
ejpam-6624	14	31	method	method	NOUN
ejpam-6624	14	32	[	[	X
ejpam-6624	14	33	3	3	NUM
ejpam-6624	14	34	]	]	PUNCT
ejpam-6624	14	35	,	,	PUNCT
ejpam-6624	14	36	the	the	DET
ejpam-6624	14	37	riccati	riccati	NOUN
ejpam-6624	14	38	-	-	PUNCT
ejpam-6624	14	39	bernoulli	bernoulli	PROPN
ejpam-6624	14	40	sub	sub	ADJ
ejpam-6624	14	41	-	-	ADJ
ejpam-6624	14	42	ode	ode	ADJ
ejpam-6624	14	43	method	method	NOUN
ejpam-6624	14	44	[	[	X
ejpam-6624	14	45	4	4	NUM
ejpam-6624	14	46	,	,	PUNCT
ejpam-6624	14	47	5	5	NUM
ejpam-6624	14	48	]	]	PUNCT
ejpam-6624	14	49	,	,	PUNCT
ejpam-6624	14	50	generalized	generalized	ADJ
ejpam-6624	14	51	riccati	riccati	NOUN
ejpam-6624	14	52	equation	equation	NOUN
ejpam-6624	14	53	mapping	mapping	NOUN
ejpam-6624	14	54	method	method	NOUN
ejpam-6624	14	55	[	[	X
ejpam-6624	14	56	6	6	NUM
ejpam-6624	14	57	]	]	PUNCT
ejpam-6624	14	58	,	,	PUNCT
ejpam-6624	14	59	modified	modify	VERB
ejpam-6624	14	60	khater	khater	NOUN
ejpam-6624	14	61	method	method	NOUN
ejpam-6624	15	1	[	[	X
ejpam-6624	15	2	7	7	NUM
ejpam-6624	15	3	]	]	PUNCT
ejpam-6624	15	4	,	,	PUNCT
ejpam-6624	15	5	generalized	generalize	VERB
ejpam-6624	15	6	khater	khater	ADJ
ejpam-6624	15	7	method	method	NOUN
ejpam-6624	15	8	[	[	X
ejpam-6624	15	9	8	8	NUM
ejpam-6624	15	10	]	]	PUNCT
ejpam-6624	15	11	,	,	PUNCT
ejpam-6624	15	12	sardar	sardar	PROPN
ejpam-6624	15	13	sub	sub	ADJ
ejpam-6624	15	14	-	-	ADJ
ejpam-6624	15	15	equation	equation	ADJ
ejpam-6624	15	16	method	method	NOUN
ejpam-6624	15	17	[	[	X
ejpam-6624	15	18	9	9	NUM
ejpam-6624	15	19	]	]	PUNCT
ejpam-6624	15	20	,	,	PUNCT
ejpam-6624	15	21	modified	modify	VERB
ejpam-6624	15	22	sardar	sardar	PROPN
ejpam-6624	15	23	sub	sub	NOUN
ejpam-6624	15	24	-	-	ADJ
ejpam-6624	15	25	equation	equation	ADJ
ejpam-6624	15	26	method	method	NOUN
ejpam-6624	15	27	[	[	X
ejpam-6624	15	28	10	10	NUM
ejpam-6624	15	29	,	,	PUNCT
ejpam-6624	15	30	11	11	NUM
ejpam-6624	15	31	]	]	PUNCT
ejpam-6624	15	32	,	,	PUNCT
ejpam-6624	15	33	exponential	exponential	ADJ
ejpam-6624	15	34	rational	rational	ADJ
ejpam-6624	15	35	function	function	NOUN
ejpam-6624	15	36	method	method	NOUN
ejpam-6624	15	37	[	[	X
ejpam-6624	15	38	12	12	NUM
ejpam-6624	15	39	,	,	PUNCT
ejpam-6624	15	40	13	13	NUM
ejpam-6624	15	41	]	]	PUNCT
ejpam-6624	15	42	,	,	PUNCT
ejpam-6624	15	43	g′/g	g′/g	ADJ
ejpam-6624	15	44	-	-	PUNCT
ejpam-6624	15	45	expansion	expansion	NOUN
ejpam-6624	15	46	method	method	NOUN
ejpam-6624	15	47	[	[	X
ejpam-6624	15	48	14	14	NUM
ejpam-6624	15	49	,	,	PUNCT
ejpam-6624	15	50	15	15	NUM
ejpam-6624	15	51	]	]	PUNCT
ejpam-6624	15	52	,	,	PUNCT
ejpam-6624	15	53	g′/g2	g′/g2	NOUN
ejpam-6624	15	54	-	-	PUNCT
ejpam-6624	15	55	expansion	expansion	NOUN
ejpam-6624	15	56	method	method	NOUN
ejpam-6624	15	57	[	[	X
ejpam-6624	15	58	16	16	NUM
ejpam-6624	15	59	,	,	PUNCT
ejpam-6624	15	60	17	17	NUM
ejpam-6624	15	61	]	]	PUNCT
ejpam-6624	15	62	,	,	PUNCT
ejpam-6624	15	63	functional	functional	ADJ
ejpam-6624	15	64	variable	variable	ADJ
ejpam-6624	15	65	method	method	NOUN
ejpam-6624	15	66	[	[	X
ejpam-6624	15	67	18	18	NUM
ejpam-6624	15	68	,	,	PUNCT
ejpam-6624	15	69	19	19	NUM
ejpam-6624	15	70	]	]	PUNCT
ejpam-6624	15	71	,	,	PUNCT
ejpam-6624	15	72	and	and	CCONJ
ejpam-6624	15	73	simple	simple	ADJ
ejpam-6624	15	74	equation	equation	NOUN
ejpam-6624	15	75	method	method	NOUN
ejpam-6624	15	76	[	[	X
ejpam-6624	15	77	20	20	NUM
ejpam-6624	15	78	,	,	PUNCT
ejpam-6624	15	79	21	21	NUM
ejpam-6624	15	80	]	]	PUNCT
ejpam-6624	15	81	.	.	PUNCT
ejpam-6624	16	1	in	in	ADP
ejpam-6624	16	2	the	the	DET
ejpam-6624	16	3	process	process	NOUN
ejpam-6624	16	4	of	of	ADP
ejpam-6624	16	5	finding	find	VERB
ejpam-6624	16	6	an	an	DET
ejpam-6624	16	7	exact	exact	ADJ
ejpam-6624	16	8	solution	solution	NOUN
ejpam-6624	16	9	of	of	ADP
ejpam-6624	16	10	the	the	DET
ejpam-6624	16	11	nlles	nlle	NOUN
ejpam-6624	16	12	,	,	PUNCT
ejpam-6624	16	13	the	the	DET
ejpam-6624	16	14	researchers	researcher	NOUN
ejpam-6624	16	15	convert	convert	VERB
ejpam-6624	16	16	the	the	DET
ejpam-6624	16	17	npdes	npde	NOUN
ejpam-6624	16	18	to	to	ADP
ejpam-6624	16	19	ordinary	ordinary	ADJ
ejpam-6624	16	20	differential	differential	ADJ
ejpam-6624	16	21	equations	equation	NOUN
ejpam-6624	16	22	(	(	PUNCT
ejpam-6624	16	23	odes	ode	NOUN
ejpam-6624	16	24	)	)	PUNCT
ejpam-6624	16	25	using	use	VERB
ejpam-6624	16	26	many	many	ADJ
ejpam-6624	16	27	approaches	approach	NOUN
ejpam-6624	16	28	,	,	PUNCT
ejpam-6624	16	29	including	include	VERB
ejpam-6624	16	30	the	the	DET
ejpam-6624	16	31	conformable	conformable	ADJ
ejpam-6624	16	32	fractional	fractional	ADJ
ejpam-6624	16	33	derivative	derivative	NOUN
ejpam-6624	17	1	[	[	X
ejpam-6624	17	2	12	12	NUM
ejpam-6624	17	3	]	]	PUNCT
ejpam-6624	17	4	,	,	PUNCT
ejpam-6624	17	5	caputo	caputo	PROPN
ejpam-6624	18	1	[	[	X
ejpam-6624	18	2	22	22	NUM
ejpam-6624	18	3	,	,	PUNCT
ejpam-6624	18	4	23	23	NUM
ejpam-6624	18	5	]	]	PUNCT
ejpam-6624	18	6	,	,	PUNCT
ejpam-6624	18	7	riemannliouville	riemannliouville	X
ejpam-6624	19	1	[	[	X
ejpam-6624	19	2	24	24	NUM
ejpam-6624	19	3	]	]	PUNCT
ejpam-6624	19	4	,	,	PUNCT
ejpam-6624	19	5	modified	modify	VERB
ejpam-6624	19	6	riemann	riemann	PROPN
ejpam-6624	19	7	-	-	PUNCT
ejpam-6624	19	8	liouville	liouville	NOUN
ejpam-6624	20	1	[	[	X
ejpam-6624	20	2	25	25	NUM
ejpam-6624	20	3	]	]	PUNCT
ejpam-6624	20	4	,	,	PUNCT
ejpam-6624	20	5	and	and	CCONJ
ejpam-6624	20	6	jumarie	jumarie	PROPN
ejpam-6624	20	7	’s	’s	PART
ejpam-6624	20	8	modified	modify	VERB
ejpam-6624	20	9	riemann	riemann	PROPN
ejpam-6624	20	10	-	-	PUNCT
ejpam-6624	20	11	liouville	liouville	NOUN
ejpam-6624	21	1	[	[	X
ejpam-6624	21	2	26	26	NUM
ejpam-6624	21	3	]	]	PUNCT
ejpam-6624	21	4	,	,	PUNCT
ejpam-6624	21	5	etc	etc	X
ejpam-6624	21	6	.	.	X
ejpam-6624	21	7	one	one	NUM
ejpam-6624	21	8	of	of	ADP
ejpam-6624	21	9	the	the	DET
ejpam-6624	21	10	definitions	definition	NOUN
ejpam-6624	21	11	that	that	PRON
ejpam-6624	21	12	is	be	AUX
ejpam-6624	21	13	used	use	VERB
ejpam-6624	21	14	the	the	DET
ejpam-6624	21	15	most	most	ADV
ejpam-6624	21	16	often	often	ADV
ejpam-6624	21	17	in	in	ADP
ejpam-6624	21	18	the	the	DET
ejpam-6624	21	19	field	field	NOUN
ejpam-6624	21	20	of	of	ADP
ejpam-6624	21	21	study	study	NOUN
ejpam-6624	21	22	is	be	AUX
ejpam-6624	21	23	the	the	DET
ejpam-6624	21	24	jumarie	jumarie	PROPN
ejpam-6624	21	25	’s	’s	PART
ejpam-6624	21	26	riemann	riemann	PROPN
ejpam-6624	21	27	-	-	PUNCT
ejpam-6624	21	28	liouville	liouville	VERB
ejpam-6624	21	29	fractional	fractional	ADJ
ejpam-6624	21	30	derivative	derivative	NOUN
ejpam-6624	22	1	[	[	X
ejpam-6624	22	2	6	6	NUM
ejpam-6624	22	3	,	,	PUNCT
ejpam-6624	22	4	21	21	NUM
ejpam-6624	22	5	]	]	PUNCT
ejpam-6624	22	6	.	.	PUNCT
ejpam-6624	23	1	travelling	travel	VERB
ejpam-6624	23	2	wave	wave	NOUN
ejpam-6624	23	3	solutions	solution	NOUN
ejpam-6624	23	4	are	be	AUX
ejpam-6624	23	5	fundamental	fundamental	ADJ
ejpam-6624	23	6	in	in	ADP
ejpam-6624	23	7	the	the	DET
ejpam-6624	23	8	analysis	analysis	NOUN
ejpam-6624	23	9	of	of	ADP
ejpam-6624	23	10	nonlinear	nonlinear	ADJ
ejpam-6624	23	11	partial	partial	ADJ
ejpam-6624	23	12	differential	differential	NOUN
ejpam-6624	23	13	equations	equation	NOUN
ejpam-6624	23	14	(	(	PUNCT
ejpam-6624	23	15	pdes	pde	NOUN
ejpam-6624	23	16	)	)	PUNCT
ejpam-6624	23	17	,	,	PUNCT
ejpam-6624	23	18	as	as	SCONJ
ejpam-6624	23	19	they	they	PRON
ejpam-6624	23	20	reduce	reduce	VERB
ejpam-6624	23	21	complex	complex	ADJ
ejpam-6624	23	22	spatiotemporal	spatiotemporal	ADJ
ejpam-6624	23	23	dynamics	dynamic	NOUN
ejpam-6624	23	24	into	into	ADP
ejpam-6624	23	25	ordinary	ordinary	ADJ
ejpam-6624	23	26	differential	differential	ADJ
ejpam-6624	23	27	equations	equation	NOUN
ejpam-6624	23	28	and	and	CCONJ
ejpam-6624	23	29	simultaneously	simultaneously	ADV
ejpam-6624	23	30	provide	provide	VERB
ejpam-6624	23	31	physically	physically	ADV
ejpam-6624	23	32	meaningful	meaningful	ADJ
ejpam-6624	23	33	descriptions	description	NOUN
ejpam-6624	23	34	of	of	ADP
ejpam-6624	23	35	wave	wave	NOUN
ejpam-6624	23	36	phenomena	phenomenon	NOUN
ejpam-6624	23	37	.	.	PUNCT
ejpam-6624	24	1	in	in	ADP
ejpam-6624	24	2	solid	solid	ADJ
ejpam-6624	24	3	-	-	PUNCT
ejpam-6624	24	4	state	state	NOUN
ejpam-6624	24	5	physics	physics	NOUN
ejpam-6624	24	6	,	,	PUNCT
ejpam-6624	24	7	kink	kink	NOUN
ejpam-6624	24	8	-	-	PUNCT
ejpam-6624	24	9	type	type	NOUN
ejpam-6624	24	10	travelling	travel	VERB
ejpam-6624	24	11	waves	wave	NOUN
ejpam-6624	24	12	model	model	NOUN
ejpam-6624	24	13	fluxon	fluxon	PROPN
ejpam-6624	24	14	propagation	propagation	NOUN
ejpam-6624	24	15	in	in	ADP
ejpam-6624	24	16	josephson	josephson	PROPN
ejpam-6624	24	17	junctions	junctions	PROPN
ejpam-6624	24	18	and	and	CCONJ
ejpam-6624	24	19	crystal	crystal	NOUN
ejpam-6624	24	20	dislocations	dislocation	NOUN
ejpam-6624	24	21	[	[	X
ejpam-6624	24	22	27	27	NUM
ejpam-6624	24	23	]	]	PUNCT
ejpam-6624	24	24	,	,	PUNCT
ejpam-6624	24	25	while	while	SCONJ
ejpam-6624	24	26	in	in	ADP
ejpam-6624	24	27	nonlinear	nonlinear	ADJ
ejpam-6624	24	28	optics	optic	NOUN
ejpam-6624	24	29	,	,	PUNCT
ejpam-6624	24	30	akns	akns	NOUN
ejpam-6624	24	31	-	-	PUNCT
ejpam-6624	24	32	type	type	NOUN
ejpam-6624	24	33	equations	equation	NOUN
ejpam-6624	24	34	capture	capture	VERB
ejpam-6624	24	35	optical	optical	ADJ
ejpam-6624	24	36	solitons	soliton	NOUN
ejpam-6624	24	37	and	and	CCONJ
ejpam-6624	24	38	related	related	ADJ
ejpam-6624	24	39	interactions	interaction	NOUN
ejpam-6624	24	40	[	[	X
ejpam-6624	24	41	28	28	NUM
ejpam-6624	24	42	]	]	PUNCT
ejpam-6624	24	43	.	.	PUNCT
ejpam-6624	25	1	the	the	DET
ejpam-6624	25	2	importance	importance	NOUN
ejpam-6624	25	3	of	of	ADP
ejpam-6624	25	4	such	such	ADJ
ejpam-6624	25	5	solutions	solution	NOUN
ejpam-6624	25	6	is	be	AUX
ejpam-6624	25	7	amplified	amplify	VERB
ejpam-6624	25	8	in	in	ADP
ejpam-6624	25	9	the	the	DET
ejpam-6624	25	10	fractional	fractional	ADJ
ejpam-6624	25	11	-	-	PUNCT
ejpam-6624	25	12	order	order	NOUN
ejpam-6624	25	13	setting	setting	NOUN
ejpam-6624	25	14	,	,	PUNCT
ejpam-6624	25	15	where	where	SCONJ
ejpam-6624	25	16	memory	memory	NOUN
ejpam-6624	25	17	and	and	CCONJ
ejpam-6624	25	18	hereditary	hereditary	ADJ
ejpam-6624	25	19	effects	effect	NOUN
ejpam-6624	25	20	emerge	emerge	VERB
ejpam-6624	25	21	and	and	CCONJ
ejpam-6624	25	22	yield	yield	VERB
ejpam-6624	25	23	more	more	ADV
ejpam-6624	25	24	realistic	realistic	ADJ
ejpam-6624	25	25	models	model	NOUN
ejpam-6624	25	26	of	of	ADP
ejpam-6624	25	27	anomalous	anomalous	ADJ
ejpam-6624	25	28	transport	transport	NOUN
ejpam-6624	25	29	and	and	CCONJ
ejpam-6624	25	30	dispersive	dispersive	ADJ
ejpam-6624	25	31	processes	process	NOUN
ejpam-6624	25	32	.	.	PUNCT
ejpam-6624	26	1	by	by	ADP
ejpam-6624	26	2	adjusting	adjust	VERB
ejpam-6624	26	3	the	the	DET
ejpam-6624	26	4	fractional	fractional	ADJ
ejpam-6624	26	5	order	order	NOUN
ejpam-6624	26	6	α	α	NOUN
ejpam-6624	26	7	,	,	PUNCT
ejpam-6624	26	8	one	one	PRON
ejpam-6624	26	9	can	can	AUX
ejpam-6624	26	10	tune	tune	VERB
ejpam-6624	26	11	wave	wave	NOUN
ejpam-6624	26	12	velocity	velocity	NOUN
ejpam-6624	26	13	and	and	CCONJ
ejpam-6624	26	14	profile	profile	NOUN
ejpam-6624	26	15	beyond	beyond	ADP
ejpam-6624	26	16	what	what	PRON
ejpam-6624	26	17	is	be	AUX
ejpam-6624	26	18	possible	possible	ADJ
ejpam-6624	26	19	in	in	ADP
ejpam-6624	26	20	the	the	DET
ejpam-6624	26	21	classical	classical	ADJ
ejpam-6624	26	22	case	case	NOUN
ejpam-6624	26	23	,	,	PUNCT
ejpam-6624	26	24	thereby	thereby	ADV
ejpam-6624	26	25	enriching	enrich	VERB
ejpam-6624	26	26	the	the	DET
ejpam-6624	26	27	diversity	diversity	NOUN
ejpam-6624	26	28	of	of	ADP
ejpam-6624	26	29	exact	exact	ADJ
ejpam-6624	26	30	solutions	solution	NOUN
ejpam-6624	26	31	.	.	PUNCT
ejpam-6624	27	1	although	although	SCONJ
ejpam-6624	27	2	several	several	ADJ
ejpam-6624	27	3	analytical	analytical	ADJ
ejpam-6624	27	4	methods	method	NOUN
ejpam-6624	27	5	,	,	PUNCT
ejpam-6624	27	6	including	include	VERB
ejpam-6624	27	7	the	the	DET
ejpam-6624	27	8	(	(	PUNCT
ejpam-6624	27	9	1	1	NUM
ejpam-6624	27	10	/	/	SYM
ejpam-6624	27	11	g′)-expansion	g′)-expansion	NOUN
ejpam-6624	27	12	and	and	CCONJ
ejpam-6624	27	13	functional	functional	ADJ
ejpam-6624	27	14	variable	variable	ADJ
ejpam-6624	27	15	techniques	technique	NOUN
ejpam-6624	27	16	[	[	X
ejpam-6624	27	17	28	28	NUM
ejpam-6624	27	18	]	]	PUNCT
ejpam-6624	27	19	,	,	PUNCT
ejpam-6624	27	20	have	have	AUX
ejpam-6624	27	21	been	be	AUX
ejpam-6624	27	22	employed	employ	VERB
ejpam-6624	27	23	to	to	PART
ejpam-6624	27	24	construct	construct	VERB
ejpam-6624	27	25	travelling	travel	VERB
ejpam-6624	27	26	waves	wave	NOUN
ejpam-6624	27	27	,	,	PUNCT
ejpam-6624	27	28	these	these	DET
ejpam-6624	27	29	approaches	approach	NOUN
ejpam-6624	27	30	typically	typically	ADV
ejpam-6624	27	31	yield	yield	VERB
ejpam-6624	27	32	only	only	ADV
ejpam-6624	27	33	limited	limited	ADJ
ejpam-6624	27	34	classes	class	NOUN
ejpam-6624	27	35	of	of	ADP
ejpam-6624	27	36	hyperbolic	hyperbolic	ADJ
ejpam-6624	27	37	or	or	CCONJ
ejpam-6624	27	38	trigonometric	trigonometric	ADJ
ejpam-6624	27	39	forms	form	NOUN
ejpam-6624	27	40	.	.	PUNCT
ejpam-6624	28	1	in	in	ADP
ejpam-6624	28	2	contrast	contrast	NOUN
ejpam-6624	28	3	,	,	PUNCT
ejpam-6624	28	4	the	the	DET
ejpam-6624	28	5	generalized	generalized	ADJ
ejpam-6624	28	6	riccati	riccati	NOUN
ejpam-6624	28	7	equation	equation	NOUN
ejpam-6624	28	8	mapping	mapping	NOUN
ejpam-6624	28	9	method	method	NOUN
ejpam-6624	28	10	adopted	adopt	VERB
ejpam-6624	28	11	in	in	ADP
ejpam-6624	28	12	this	this	DET
ejpam-6624	28	13	work	work	NOUN
ejpam-6624	28	14	generates	generate	VERB
ejpam-6624	28	15	a	a	DET
ejpam-6624	28	16	broader	broad	ADJ
ejpam-6624	28	17	spectrum	spectrum	NOUN
ejpam-6624	28	18	of	of	ADP
ejpam-6624	28	19	hyperbolic	hyperbolic	ADJ
ejpam-6624	28	20	,	,	PUNCT
ejpam-6624	28	21	trigonometric	trigonometric	ADJ
ejpam-6624	28	22	,	,	PUNCT
ejpam-6624	28	23	and	and	CCONJ
ejpam-6624	28	24	rational	rational	ADJ
ejpam-6624	28	25	travelling	travelling	ADJ
ejpam-6624	28	26	wave	wave	NOUN
ejpam-6624	28	27	solutions	solution	NOUN
ejpam-6624	28	28	,	,	PUNCT
ejpam-6624	28	29	underscoring	underscore	VERB
ejpam-6624	28	30	both	both	PRON
ejpam-6624	28	31	its	its	PRON
ejpam-6624	28	32	mathematical	mathematical	ADJ
ejpam-6624	28	33	versatility	versatility	NOUN
ejpam-6624	28	34	and	and	CCONJ
ejpam-6624	28	35	physical	physical	ADJ
ejpam-6624	28	36	relevance	relevance	NOUN
ejpam-6624	28	37	.	.	PUNCT
ejpam-6624	29	1	the	the	DET
ejpam-6624	29	2	riemann	riemann	PROPN
ejpam-6624	29	3	-	-	PUNCT
ejpam-6624	29	4	liouville	liouville	VERB
ejpam-6624	29	5	derivative	derivative	NOUN
ejpam-6624	29	6	of	of	ADP
ejpam-6624	29	7	jumarie	jumarie	PROPN
ejpam-6624	29	8	was	be	AUX
ejpam-6624	29	9	presented	present	VERB
ejpam-6624	29	10	in	in	ADP
ejpam-6624	29	11	the	the	DET
ejpam-6624	29	12	following	follow	VERB
ejpam-6624	29	13	manner	manner	NOUN
ejpam-6624	29	14	in	in	ADP
ejpam-6624	29	15	the	the	DET
ejpam-6624	29	16	year	year	NOUN
ejpam-6624	29	17	2006	2006	NUM
ejpam-6624	30	1	[	[	X
ejpam-6624	30	2	29	29	NUM
ejpam-6624	30	3	]	]	PUNCT
ejpam-6624	30	4	:	:	PUNCT
ejpam-6624	30	5	definition	definition	NOUN
ejpam-6624	30	6	1	1	NUM
ejpam-6624	30	7	.	.	PUNCT
ejpam-6624	30	8	riemann	riemann	PROPN
ejpam-6624	30	9	-	-	PUNCT
ejpam-6624	30	10	liouville	liouville	PROPN
ejpam-6624	30	11	’s	’s	PART
ejpam-6624	30	12	fractional	fractional	ADJ
ejpam-6624	30	13	derivative	derivative	NOUN
ejpam-6624	30	14	of	of	ADP
ejpam-6624	30	15	jumarie	jumarie	PROPN
ejpam-6624	30	16	can	can	AUX
ejpam-6624	30	17	be	be	AUX
ejpam-6624	30	18	expressed	express	VERB
ejpam-6624	30	19	in	in	ADP
ejpam-6624	30	20	the	the	DET
ejpam-6624	30	21	following	following	ADJ
ejpam-6624	30	22	way	way	NOUN
ejpam-6624	30	23	:	:	PUNCT
ejpam-6624	30	24	dα	dα	PROPN
ejpam-6624	30	25	t	t	PROPN
ejpam-6624	30	26	θ(t	θ(t	PROPN
ejpam-6624	30	27	)	)	PUNCT
ejpam-6624	30	28	=	=	SYM
ejpam-6624	30	29			NUM
ejpam-6624	30	30	θ(t	θ(t	PROPN
ejpam-6624	30	31	)	)	PUNCT
ejpam-6624	30	32	,	,	PUNCT
ejpam-6624	30	33	α	α	X
ejpam-6624	30	34	=	=	SYM
ejpam-6624	30	35	0	0	NUM
ejpam-6624	30	36	,	,	PUNCT
ejpam-6624	31	1	1	1	NUM
ejpam-6624	31	2	γ(1−	γ(1−	NOUN
ejpam-6624	31	3	α	α	NUM
ejpam-6624	31	4	)	)	PUNCT
ejpam-6624	31	5	d	d	NOUN
ejpam-6624	31	6	dt	dt	X
ejpam-6624	32	1	∫	∫	PROPN
ejpam-6624	32	2	t	t	PROPN
ejpam-6624	32	3	0	0	NUM
ejpam-6624	32	4	(	(	PUNCT
ejpam-6624	32	5	t−	t−	PROPN
ejpam-6624	32	6	β)−α(θ(β)−θ(0))dβ	β)−α(θ(β)−θ(0))dβ	PROPN
ejpam-6624	32	7	,	,	PUNCT
ejpam-6624	32	8	0	0	NUM
ejpam-6624	32	9	<	<	X
ejpam-6624	32	10	α	α	X
ejpam-6624	32	11	<	<	X
ejpam-6624	32	12	1	1	NUM
ejpam-6624	32	13	,	,	PUNCT
ejpam-6624	32	14	dn	dn	PROPN
ejpam-6624	32	15	dtn	dtn	PROPN
ejpam-6624	32	16	dα−n	dα−n	PROPN
ejpam-6624	32	17	t	t	PROPN
ejpam-6624	32	18	θ(t	θ(t	PROPN
ejpam-6624	32	19	)	)	PUNCT
ejpam-6624	32	20	,	,	PUNCT
ejpam-6624	32	21	n	n	CCONJ
ejpam-6624	32	22	≤	≤	NOUN
ejpam-6624	33	1	α	α	PROPN
ejpam-6624	33	2	<	<	X
ejpam-6624	33	3	n+	n+	PROPN
ejpam-6624	33	4	1	1	NUM
ejpam-6624	33	5	,	,	PUNCT
ejpam-6624	33	6	n	n	PRON
ejpam-6624	33	7	≥	≥	NOUN
ejpam-6624	33	8	1	1	NUM
ejpam-6624	33	9	,	,	PUNCT
ejpam-6624	33	10	(	(	PUNCT
ejpam-6624	33	11	1	1	X
ejpam-6624	33	12	)	)	PUNCT
ejpam-6624	33	13	s.	s.	PROPN
ejpam-6624	33	14	phoosree	phoosree	INTJ
ejpam-6624	33	15	et	et	PROPN
ejpam-6624	33	16	al	al	PROPN
ejpam-6624	33	17	.	.	PUNCT
ejpam-6624	33	18	/	/	SYM
ejpam-6624	33	19	eur	eur	PROPN
ejpam-6624	33	20	.	.	PUNCT
ejpam-6624	34	1	j.	j.	PROPN
ejpam-6624	34	2	pure	pure	PROPN
ejpam-6624	34	3	appl	appl	PROPN
ejpam-6624	34	4	.	.	PROPN
ejpam-6624	34	5	math	math	PROPN
ejpam-6624	34	6	,	,	PUNCT
ejpam-6624	34	7	18	18	NUM
ejpam-6624	34	8	(	(	PUNCT
ejpam-6624	34	9	4	4	NUM
ejpam-6624	34	10	)	)	PUNCT
ejpam-6624	34	11	(	(	PUNCT
ejpam-6624	34	12	2025	2025	NUM
ejpam-6624	34	13	)	)	PUNCT
ejpam-6624	34	14	,	,	PUNCT
ejpam-6624	34	15	6624	6624	NUM
ejpam-6624	34	16	3	3	NUM
ejpam-6624	34	17	of	of	ADP
ejpam-6624	34	18	24	24	NUM
ejpam-6624	34	19	where	where	SCONJ
ejpam-6624	34	20	represents	represent	VERB
ejpam-6624	34	21	an	an	DET
ejpam-6624	34	22	order	order	NOUN
ejpam-6624	34	23	of	of	ADP
ejpam-6624	34	24	the	the	DET
ejpam-6624	34	25	fractional	fractional	ADJ
ejpam-6624	34	26	derivative	derivative	NOUN
ejpam-6624	34	27	.	.	PUNCT
ejpam-6624	35	1	the	the	DET
ejpam-6624	35	2	following	follow	VERB
ejpam-6624	35	3	is	be	AUX
ejpam-6624	35	4	a	a	DET
ejpam-6624	35	5	list	list	NOUN
ejpam-6624	35	6	of	of	ADP
ejpam-6624	35	7	features	feature	NOUN
ejpam-6624	35	8	that	that	PRON
ejpam-6624	35	9	were	be	AUX
ejpam-6624	35	10	raised	raise	VERB
ejpam-6624	35	11	in	in	ADP
ejpam-6624	35	12	2009	2009	NUM
ejpam-6624	35	13	regarding	regard	VERB
ejpam-6624	35	14	various	various	ADJ
ejpam-6624	35	15	attributes	attribute	NOUN
ejpam-6624	35	16	of	of	ADP
ejpam-6624	35	17	the	the	DET
ejpam-6624	35	18	fractional	fractional	ADJ
ejpam-6624	35	19	derivative	derivative	ADJ
ejpam-6624	35	20	order	order	NOUN
ejpam-6624	35	21	of	of	ADP
ejpam-6624	35	22	jumarie	jumarie	PROPN
ejpam-6624	35	23	’s	’s	PART
ejpam-6624	35	24	riemann	riemann	PROPN
ejpam-6624	35	25	-	-	PUNCT
ejpam-6624	35	26	liouville	liouville	NOUN
ejpam-6624	35	27	[	[	X
ejpam-6624	35	28	30	30	NUM
ejpam-6624	35	29	]	]	PUNCT
ejpam-6624	35	30	:	:	PUNCT
ejpam-6624	35	31	dα	dα	VERB
ejpam-6624	35	32	xx	xx	NUM
ejpam-6624	35	33	ω	ω	NUM
ejpam-6624	35	34	=	=	PUNCT
ejpam-6624	35	35	γ(ω	γ(ω	PROPN
ejpam-6624	35	36	+	+	PUNCT
ejpam-6624	35	37	1	1	X
ejpam-6624	35	38	)	)	PUNCT
ejpam-6624	35	39	γ(ω−	γ(ω−	NOUN
ejpam-6624	35	40	θ	θ	NOUN
ejpam-6624	35	41	+	+	CCONJ
ejpam-6624	35	42	1	1	X
ejpam-6624	35	43	)	)	PUNCT
ejpam-6624	35	44	xω−α	xω−α	PROPN
ejpam-6624	35	45	,	,	PUNCT
ejpam-6624	35	46	ω	ω	X
ejpam-6624	35	47	≥	≥	NOUN
ejpam-6624	35	48	0	0	NUM
ejpam-6624	35	49	,	,	PUNCT
ejpam-6624	35	50	(	(	PUNCT
ejpam-6624	35	51	2	2	X
ejpam-6624	35	52	)	)	PUNCT
ejpam-6624	35	53	dα	dα	NOUN
ejpam-6624	35	54	x	x	PUNCT
ejpam-6624	36	1	[	[	X
ejpam-6624	36	2	θ(x)υ(x	θ(x)υ(x	X
ejpam-6624	36	3	)	)	PUNCT
ejpam-6624	36	4	]	]	PUNCT
ejpam-6624	36	5	=	=	PUNCT
ejpam-6624	36	6	θ(x)dα	θ(x)dα	PROPN
ejpam-6624	36	7	xυ(x	xυ(x	PUNCT
ejpam-6624	36	8	)	)	PUNCT
ejpam-6624	37	1	+	+	CCONJ
ejpam-6624	37	2	υ(x)dα	υ(x)dα	NOUN
ejpam-6624	37	3	xθ(x	xθ(x	NUM
ejpam-6624	37	4	)	)	PUNCT
ejpam-6624	37	5	,	,	PUNCT
ejpam-6624	37	6	(	(	PUNCT
ejpam-6624	37	7	3	3	X
ejpam-6624	37	8	)	)	PUNCT
ejpam-6624	37	9	dα	dα	PRON
ejpam-6624	37	10	xθ[υ(x	xθ[υ(x	PROPN
ejpam-6624	37	11	)	)	PUNCT
ejpam-6624	37	12	]	]	PUNCT
ejpam-6624	37	13	=	=	PUNCT
ejpam-6624	37	14	θ′	θ′	NOUN
ejpam-6624	37	15	ω[υ(x)][dα	ω[υ(x)][dα	NUM
ejpam-6624	37	16	xυ(x	xυ(x	PUNCT
ejpam-6624	37	17	)	)	PUNCT
ejpam-6624	37	18	]	]	PUNCT
ejpam-6624	38	1	(	(	PUNCT
ejpam-6624	38	2	4	4	X
ejpam-6624	38	3	)	)	PUNCT
ejpam-6624	38	4	=	=	PRON
ejpam-6624	38	5	dα	dα	PRON
ejpam-6624	38	6	υθ[υ(x)][υ′(x)]α	υθ[υ(x)][υ′(x)]α	PROPN
ejpam-6624	38	7	.	.	PUNCT
ejpam-6624	39	1	(	(	PUNCT
ejpam-6624	39	2	5	5	X
ejpam-6624	39	3	)	)	PUNCT
ejpam-6624	39	4	these	these	PRON
ejpam-6624	39	5	represent	represent	VERB
ejpam-6624	39	6	direct	direct	ADJ
ejpam-6624	39	7	results	result	NOUN
ejpam-6624	39	8	that	that	PRON
ejpam-6624	39	9	result	result	VERB
ejpam-6624	39	10	from	from	ADP
ejpam-6624	39	11	the	the	DET
ejpam-6624	39	12	equality	equality	NOUN
ejpam-6624	39	13	dαx(t	dαx(t	PROPN
ejpam-6624	39	14	)	)	PUNCT
ejpam-6624	39	15	=	=	SYM
ejpam-6624	40	1	γ(1	γ(1	PROPN
ejpam-6624	40	2	+	+	CCONJ
ejpam-6624	40	3	α)dx(t	α)dx(t	NOUN
ejpam-6624	40	4	)	)	PUNCT
ejpam-6624	40	5	.	.	PUNCT
ejpam-6624	41	1	this	this	PRON
ejpam-6624	41	2	is	be	AUX
ejpam-6624	41	3	true	true	ADJ
ejpam-6624	41	4	for	for	ADP
ejpam-6624	41	5	functions	function	NOUN
ejpam-6624	41	6	that	that	PRON
ejpam-6624	41	7	are	be	AUX
ejpam-6624	41	8	not	not	PART
ejpam-6624	41	9	susceptible	susceptible	ADJ
ejpam-6624	41	10	of	of	ADP
ejpam-6624	41	11	being	be	AUX
ejpam-6624	41	12	differentiated	differentiate	VERB
ejpam-6624	41	13	.	.	PUNCT
ejpam-6624	42	1	in	in	ADP
ejpam-6624	42	2	equations	equation	NOUN
ejpam-6624	42	3	(	(	PUNCT
ejpam-6624	42	4	3	3	NUM
ejpam-6624	42	5	)	)	PUNCT
ejpam-6624	42	6	and	and	CCONJ
ejpam-6624	42	7	(	(	PUNCT
ejpam-6624	42	8	4	4	NUM
ejpam-6624	42	9	)	)	PUNCT
ejpam-6624	42	10	,	,	PUNCT
ejpam-6624	42	11	the	the	DET
ejpam-6624	42	12	function	function	NOUN
ejpam-6624	42	13	is	be	AUX
ejpam-6624	42	14	not	not	PART
ejpam-6624	42	15	differentiable	differentiable	ADJ
ejpam-6624	42	16	,	,	PUNCT
ejpam-6624	42	17	however	however	ADV
ejpam-6624	42	18	in	in	ADP
ejpam-6624	42	19	equation	equation	NOUN
ejpam-6624	42	20	(	(	PUNCT
ejpam-6624	42	21	5	5	NUM
ejpam-6624	42	22	)	)	PUNCT
ejpam-6624	42	23	,	,	PUNCT
ejpam-6624	42	24	it	it	PRON
ejpam-6624	42	25	is	be	AUX
ejpam-6624	42	26	differentiable	differentiable	ADJ
ejpam-6624	42	27	.	.	PUNCT
ejpam-6624	43	1	it	it	PRON
ejpam-6624	43	2	is	be	AUX
ejpam-6624	43	3	possible	possible	ADJ
ejpam-6624	43	4	to	to	PART
ejpam-6624	43	5	modify	modify	VERB
ejpam-6624	43	6	a	a	DET
ejpam-6624	43	7	variety	variety	NOUN
ejpam-6624	43	8	of	of	ADP
ejpam-6624	43	9	nonlinear	nonlinear	ADJ
ejpam-6624	43	10	phenomena	phenomenon	NOUN
ejpam-6624	43	11	by	by	ADP
ejpam-6624	43	12	using	use	VERB
ejpam-6624	43	13	the	the	DET
ejpam-6624	43	14	nonlinear	nonlinear	NOUN
ejpam-6624	43	15	(	(	PUNCT
ejpam-6624	43	16	2	2	NUM
ejpam-6624	43	17	+	+	ADJ
ejpam-6624	43	18	1)dimensional	1)dimensional	PROPN
ejpam-6624	43	19	cubic	cubic	PROPN
ejpam-6624	43	20	klein	klein	PROPN
ejpam-6624	43	21	-	-	PUNCT
ejpam-6624	43	22	gordon	gordon	PROPN
ejpam-6624	43	23	(	(	PUNCT
ejpam-6624	43	24	ckg	ckg	NOUN
ejpam-6624	43	25	)	)	PUNCT
ejpam-6624	43	26	equation	equation	NOUN
ejpam-6624	43	27	.	.	PUNCT
ejpam-6624	44	1	these	these	DET
ejpam-6624	44	2	phenomena	phenomenon	NOUN
ejpam-6624	44	3	[	[	X
ejpam-6624	44	4	27	27	NUM
ejpam-6624	44	5	]	]	PUNCT
ejpam-6624	44	6	,	,	PUNCT
ejpam-6624	44	7	include	include	VERB
ejpam-6624	44	8	the	the	DET
ejpam-6624	44	9	propagation	propagation	NOUN
ejpam-6624	44	10	of	of	ADP
ejpam-6624	44	11	fluxions	fluxion	NOUN
ejpam-6624	44	12	in	in	ADP
ejpam-6624	44	13	josephson	josephson	PROPN
ejpam-6624	44	14	junctions	junctions	PROPN
ejpam-6624	44	15	,	,	PUNCT
ejpam-6624	44	16	the	the	DET
ejpam-6624	44	17	propagation	propagation	NOUN
ejpam-6624	44	18	of	of	ADP
ejpam-6624	44	19	dislocation	dislocation	NOUN
ejpam-6624	44	20	in	in	ADP
ejpam-6624	44	21	crystals	crystal	NOUN
ejpam-6624	44	22	,	,	PUNCT
ejpam-6624	44	23	and	and	CCONJ
ejpam-6624	44	24	the	the	DET
ejpam-6624	44	25	behavior	behavior	NOUN
ejpam-6624	44	26	of	of	ADP
ejpam-6624	44	27	elementary	elementary	ADJ
ejpam-6624	44	28	particles	particle	NOUN
ejpam-6624	44	29	.	.	PUNCT
ejpam-6624	45	1	the	the	DET
ejpam-6624	45	2	equation	equation	NOUN
ejpam-6624	45	3	that	that	PRON
ejpam-6624	45	4	represents	represent	VERB
ejpam-6624	45	5	the	the	DET
ejpam-6624	45	6	nonlinear	nonlinear	NOUN
ejpam-6624	45	7	(	(	PUNCT
ejpam-6624	45	8	2	2	NUM
ejpam-6624	45	9	+	+	NOUN
ejpam-6624	45	10	1)-dimensional	1)-dimensional	ADJ
ejpam-6624	45	11	ckg	ckg	NOUN
ejpam-6624	45	12	equation	equation	NOUN
ejpam-6624	45	13	is	be	AUX
ejpam-6624	45	14	as	as	SCONJ
ejpam-6624	45	15	follows	follow	VERB
ejpam-6624	45	16	[	[	X
ejpam-6624	45	17	20	20	NUM
ejpam-6624	45	18	,	,	PUNCT
ejpam-6624	45	19	31	31	NUM
ejpam-6624	45	20	]	]	PUNCT
ejpam-6624	45	21	:	:	PUNCT
ejpam-6624	45	22	uxx	uxx	PROPN
ejpam-6624	46	1	+	+	CCONJ
ejpam-6624	47	1	uyy	uyy	PROPN
ejpam-6624	47	2	−	−	PROPN
ejpam-6624	47	3	utt	utt	PROPN
ejpam-6624	47	4	+	+	CCONJ
ejpam-6624	47	5	δu+	δu+	NOUN
ejpam-6624	47	6	λu3	λu3	NOUN
ejpam-6624	47	7	=	=	SYM
ejpam-6624	47	8	0	0	NUM
ejpam-6624	47	9	,	,	PUNCT
ejpam-6624	47	10	(	(	PUNCT
ejpam-6624	47	11	6	6	NUM
ejpam-6624	47	12	)	)	PUNCT
ejpam-6624	47	13	where	where	SCONJ
ejpam-6624	47	14	u	u	NOUN
ejpam-6624	47	15	=	=	SYM
ejpam-6624	47	16	u(x	u(x	PROPN
ejpam-6624	47	17	,	,	PUNCT
ejpam-6624	47	18	y	y	PROPN
ejpam-6624	47	19	,	,	PUNCT
ejpam-6624	47	20	t	t	PROPN
ejpam-6624	47	21	)	)	PUNCT
ejpam-6624	47	22	,	,	PUNCT
ejpam-6624	47	23	x	x	PUNCT
ejpam-6624	47	24	and	and	CCONJ
ejpam-6624	47	25	y	y	PROPN
ejpam-6624	47	26	are	be	AUX
ejpam-6624	47	27	considered	consider	VERB
ejpam-6624	47	28	to	to	PART
ejpam-6624	47	29	represent	represent	VERB
ejpam-6624	47	30	the	the	DET
ejpam-6624	47	31	distance	distance	NOUN
ejpam-6624	47	32	of	of	ADP
ejpam-6624	47	33	propagation	propagation	NOUN
ejpam-6624	47	34	and	and	CCONJ
ejpam-6624	47	35	t	t	NOUN
ejpam-6624	47	36	represents	represent	VERB
ejpam-6624	47	37	the	the	DET
ejpam-6624	47	38	time	time	NOUN
ejpam-6624	47	39	,	,	PUNCT
ejpam-6624	47	40	δ	δ	PROPN
ejpam-6624	47	41	and	and	CCONJ
ejpam-6624	47	42	λ	λ	PROPN
ejpam-6624	47	43	are	be	AUX
ejpam-6624	47	44	non	non	ADJ
ejpam-6624	47	45	-	-	ADJ
ejpam-6624	47	46	zero	zero	NUM
ejpam-6624	47	47	constants	constant	NOUN
ejpam-6624	47	48	.	.	PUNCT
ejpam-6624	48	1	sanjun	sanjun	NOUN
ejpam-6624	48	2	and	and	CCONJ
ejpam-6624	48	3	chankaew	chankaew	VERB
ejpam-6624	48	4	[	[	PUNCT
ejpam-6624	48	5	20	20	NUM
ejpam-6624	48	6	]	]	PUNCT
ejpam-6624	48	7	have	have	AUX
ejpam-6624	48	8	developed	develop	VERB
ejpam-6624	48	9	four	four	NUM
ejpam-6624	48	10	distinct	distinct	ADJ
ejpam-6624	48	11	exact	exact	ADJ
ejpam-6624	48	12	solutions	solution	NOUN
ejpam-6624	48	13	to	to	ADP
ejpam-6624	48	14	the	the	DET
ejpam-6624	48	15	ckg	ckg	NOUN
ejpam-6624	48	16	equation	equation	NOUN
ejpam-6624	48	17	.	.	PUNCT
ejpam-6624	49	1	these	these	DET
ejpam-6624	49	2	solutions	solution	NOUN
ejpam-6624	49	3	were	be	AUX
ejpam-6624	49	4	realized	realize	VERB
ejpam-6624	49	5	by	by	ADP
ejpam-6624	49	6	the	the	DET
ejpam-6624	49	7	use	use	NOUN
ejpam-6624	49	8	of	of	ADP
ejpam-6624	49	9	the	the	DET
ejpam-6624	49	10	simple	simple	ADJ
ejpam-6624	49	11	equation	equation	NOUN
ejpam-6624	49	12	method	method	NOUN
ejpam-6624	49	13	.	.	PUNCT
ejpam-6624	50	1	the	the	DET
ejpam-6624	50	2	solutions	solution	NOUN
ejpam-6624	50	3	have	have	VERB
ejpam-6624	50	4	the	the	DET
ejpam-6624	50	5	form	form	NOUN
ejpam-6624	50	6	of	of	ADP
ejpam-6624	50	7	hyperbolic	hyperbolic	ADJ
ejpam-6624	50	8	and	and	CCONJ
ejpam-6624	50	9	trigonometric	trigonometric	ADJ
ejpam-6624	50	10	form	form	NOUN
ejpam-6624	50	11	.	.	PUNCT
ejpam-6624	51	1	ablowitz	ablowitz	NOUN
ejpam-6624	51	2	,	,	PUNCT
ejpam-6624	51	3	kaup	kaup	PROPN
ejpam-6624	51	4	,	,	PUNCT
ejpam-6624	51	5	newell	newell	PROPN
ejpam-6624	51	6	,	,	PUNCT
ejpam-6624	51	7	and	and	CCONJ
ejpam-6624	51	8	segur	segur	PROPN
ejpam-6624	51	9	came	come	VERB
ejpam-6624	51	10	up	up	ADP
ejpam-6624	51	11	with	with	ADP
ejpam-6624	51	12	the	the	DET
ejpam-6624	51	13	nonlinear	nonlinear	ADJ
ejpam-6624	51	14	(	(	PUNCT
ejpam-6624	51	15	2	2	NUM
ejpam-6624	51	16	+	+	NOUN
ejpam-6624	51	17	1)-dimensional	1)-dimensional	ADJ
ejpam-6624	51	18	ablowitz	ablowitz	NOUN
ejpam-6624	51	19	-	-	PUNCT
ejpam-6624	51	20	kaup	kaup	PROPN
ejpam-6624	51	21	-	-	PUNCT
ejpam-6624	51	22	newell	newell	PROPN
ejpam-6624	51	23	-	-	PUNCT
ejpam-6624	51	24	segur	segur	PROPN
ejpam-6624	51	25	(	(	PUNCT
ejpam-6624	51	26	akns	akns	NOUN
ejpam-6624	51	27	)	)	PUNCT
ejpam-6624	51	28	equations	equation	NOUN
ejpam-6624	51	29	in	in	ADP
ejpam-6624	51	30	1970	1970	NUM
ejpam-6624	51	31	.	.	PUNCT
ejpam-6624	52	1	these	these	DET
ejpam-6624	52	2	equations	equation	NOUN
ejpam-6624	52	3	were	be	AUX
ejpam-6624	52	4	inspired	inspire	VERB
ejpam-6624	52	5	by	by	ADP
ejpam-6624	52	6	the	the	DET
ejpam-6624	52	7	applications	application	NOUN
ejpam-6624	52	8	to	to	ADP
ejpam-6624	52	9	nonlinear	nonlinear	ADJ
ejpam-6624	52	10	optics	optic	NOUN
ejpam-6624	52	11	,	,	PUNCT
ejpam-6624	52	12	which	which	PRON
ejpam-6624	52	13	were	be	AUX
ejpam-6624	52	14	the	the	DET
ejpam-6624	52	15	primary	primary	ADJ
ejpam-6624	52	16	motivation	motivation	NOUN
ejpam-6624	52	17	for	for	ADP
ejpam-6624	52	18	their	their	PRON
ejpam-6624	52	19	creation	creation	NOUN
ejpam-6624	52	20	.	.	PUNCT
ejpam-6624	53	1	it	it	PRON
ejpam-6624	53	2	is	be	AUX
ejpam-6624	53	3	possible	possible	ADJ
ejpam-6624	53	4	to	to	PART
ejpam-6624	53	5	convert	convert	VERB
ejpam-6624	53	6	the	the	DET
ejpam-6624	53	7	akns	akns	NOUN
ejpam-6624	53	8	equation	equation	NOUN
ejpam-6624	53	9	to	to	ADP
ejpam-6624	53	10	a	a	DET
ejpam-6624	53	11	few	few	ADJ
ejpam-6624	53	12	nonlinear	nonlinear	ADJ
ejpam-6624	53	13	evolution	evolution	NOUN
ejpam-6624	53	14	equations	equation	NOUN
ejpam-6624	53	15	,	,	PUNCT
ejpam-6624	53	16	including	include	VERB
ejpam-6624	53	17	the	the	DET
ejpam-6624	53	18	nonlinear	nonlinear	ADJ
ejpam-6624	53	19	schrödinger	schrödinger	NOUN
ejpam-6624	53	20	equation	equation	NOUN
ejpam-6624	53	21	,	,	PUNCT
ejpam-6624	53	22	the	the	DET
ejpam-6624	53	23	sine	sine	NOUN
ejpam-6624	53	24	-	-	PUNCT
ejpam-6624	53	25	gordon	gordon	PROPN
ejpam-6624	53	26	equations	equation	NOUN
ejpam-6624	53	27	,	,	PUNCT
ejpam-6624	53	28	the	the	DET
ejpam-6624	53	29	kdv	kdv	NOUN
ejpam-6624	53	30	equation	equation	NOUN
ejpam-6624	53	31	,	,	PUNCT
ejpam-6624	53	32	and	and	CCONJ
ejpam-6624	53	33	a	a	DET
ejpam-6624	53	34	few	few	ADJ
ejpam-6624	53	35	more	more	ADJ
ejpam-6624	53	36	.	.	PUNCT
ejpam-6624	54	1	the	the	DET
ejpam-6624	54	2	nonlinear	nonlinear	ADJ
ejpam-6624	54	3	(	(	PUNCT
ejpam-6624	54	4	2	2	NUM
ejpam-6624	54	5	+	+	NOUN
ejpam-6624	54	6	1)-dimensional	1)-dimensional	ADJ
ejpam-6624	54	7	akns	akns	NOUN
ejpam-6624	54	8	equation	equation	NOUN
ejpam-6624	54	9	of	of	ADP
ejpam-6624	54	10	the	the	DET
ejpam-6624	54	11	fourth	fourth	ADJ
ejpam-6624	54	12	order	order	NOUN
ejpam-6624	54	13	,	,	PUNCT
ejpam-6624	54	14	which	which	PRON
ejpam-6624	54	15	is	be	AUX
ejpam-6624	54	16	nonlinear	nonlinear	ADJ
ejpam-6624	54	17	,	,	PUNCT
ejpam-6624	54	18	with	with	ADP
ejpam-6624	54	19	the	the	DET
ejpam-6624	54	20	parameter	parameter	NOUN
ejpam-6624	54	21	ξ	ξ	PROPN
ejpam-6624	54	22	in	in	ADP
ejpam-6624	54	23	this	this	DET
ejpam-6624	54	24	form	form	NOUN
ejpam-6624	55	1	[	[	X
ejpam-6624	55	2	1	1	NUM
ejpam-6624	55	3	,	,	PUNCT
ejpam-6624	55	4	28	28	NUM
ejpam-6624	55	5	]	]	PUNCT
ejpam-6624	55	6	,	,	PUNCT
ejpam-6624	55	7	4uxt	4uxt	NUM
ejpam-6624	55	8	+	+	CCONJ
ejpam-6624	55	9	uxxxt	uxxxt	VERB
ejpam-6624	55	10	+	+	NUM
ejpam-6624	55	11	8uxuxy	8uxuxy	NUM
ejpam-6624	55	12	+	+	CCONJ
ejpam-6624	55	13	4uxxuy	4uxxuy	NUM
ejpam-6624	55	14	−	−	NOUN
ejpam-6624	55	15	ξuxx	ξuxx	PROPN
ejpam-6624	55	16	=	=	NOUN
ejpam-6624	55	17	0	0	NUM
ejpam-6624	55	18	,	,	PUNCT
ejpam-6624	55	19	(	(	PUNCT
ejpam-6624	55	20	7	7	X
ejpam-6624	55	21	)	)	PUNCT
ejpam-6624	55	22	where	where	SCONJ
ejpam-6624	55	23	u	u	NOUN
ejpam-6624	55	24	=	=	SYM
ejpam-6624	55	25	u(x	u(x	PROPN
ejpam-6624	55	26	,	,	PUNCT
ejpam-6624	55	27	y	y	PROPN
ejpam-6624	55	28	,	,	PUNCT
ejpam-6624	55	29	t	t	PROPN
ejpam-6624	55	30	)	)	PUNCT
ejpam-6624	55	31	,	,	PUNCT
ejpam-6624	55	32	x	x	PUNCT
ejpam-6624	55	33	and	and	CCONJ
ejpam-6624	55	34	y	y	PROPN
ejpam-6624	55	35	are	be	AUX
ejpam-6624	55	36	considered	consider	VERB
ejpam-6624	55	37	to	to	PART
ejpam-6624	55	38	represent	represent	VERB
ejpam-6624	55	39	the	the	DET
ejpam-6624	55	40	distance	distance	NOUN
ejpam-6624	55	41	of	of	ADP
ejpam-6624	55	42	propagation	propagation	NOUN
ejpam-6624	55	43	and	and	CCONJ
ejpam-6624	55	44	t	t	NOUN
ejpam-6624	55	45	represents	represent	VERB
ejpam-6624	55	46	the	the	DET
ejpam-6624	55	47	time	time	NOUN
ejpam-6624	55	48	,	,	PUNCT
ejpam-6624	55	49	ξ	ξ	PROPN
ejpam-6624	55	50	is	be	AUX
ejpam-6624	55	51	non	non	ADJ
ejpam-6624	55	52	-	-	ADJ
ejpam-6624	55	53	zero	zero	NUM
ejpam-6624	55	54	constants	constant	NOUN
ejpam-6624	55	55	.	.	PUNCT
ejpam-6624	56	1	the	the	DET
ejpam-6624	56	2	akns	akns	NOUN
ejpam-6624	56	3	problem	problem	NOUN
ejpam-6624	56	4	has	have	VERB
ejpam-6624	56	5	two	two	NUM
ejpam-6624	56	6	solutions	solution	NOUN
ejpam-6624	56	7	,	,	PUNCT
ejpam-6624	56	8	which	which	PRON
ejpam-6624	56	9	were	be	AUX
ejpam-6624	56	10	created	create	VERB
ejpam-6624	56	11	by	by	ADP
ejpam-6624	56	12	durur	durur	NOUN
ejpam-6624	56	13	and	and	CCONJ
ejpam-6624	56	14	yokus	yoku	NOUN
ejpam-6624	57	1	[	[	X
ejpam-6624	57	2	28	28	NUM
ejpam-6624	57	3	]	]	PUNCT
ejpam-6624	57	4	in	in	ADP
ejpam-6624	57	5	2021	2021	NUM
ejpam-6624	57	6	by	by	ADP
ejpam-6624	57	7	using	use	VERB
ejpam-6624	57	8	the	the	DET
ejpam-6624	57	9	(	(	PUNCT
ejpam-6624	57	10	1	1	NUM
ejpam-6624	57	11	/	/	SYM
ejpam-6624	57	12	g′)-expansion	g′)-expansion	NOUN
ejpam-6624	57	13	method	method	NOUN
ejpam-6624	57	14	.	.	PUNCT
ejpam-6624	58	1	in	in	ADP
ejpam-6624	58	2	terms	term	NOUN
ejpam-6624	58	3	of	of	ADP
ejpam-6624	58	4	form	form	NOUN
ejpam-6624	58	5	,	,	PUNCT
ejpam-6624	58	6	the	the	DET
ejpam-6624	58	7	solutions	solution	NOUN
ejpam-6624	58	8	are	be	AUX
ejpam-6624	58	9	hyperbolic	hyperbolic	ADJ
ejpam-6624	58	10	type	type	NOUN
ejpam-6624	58	11	.	.	PUNCT
ejpam-6624	59	1	several	several	ADJ
ejpam-6624	59	2	analytical	analytical	ADJ
ejpam-6624	59	3	methods	method	NOUN
ejpam-6624	59	4	have	have	AUX
ejpam-6624	59	5	been	be	AUX
ejpam-6624	59	6	applied	apply	VERB
ejpam-6624	59	7	to	to	ADP
ejpam-6624	59	8	fractional	fractional	ADJ
ejpam-6624	59	9	nonlinear	nonlinear	ADJ
ejpam-6624	59	10	equations	equation	NOUN
ejpam-6624	59	11	,	,	PUNCT
ejpam-6624	59	12	yet	yet	CCONJ
ejpam-6624	59	13	they	they	PRON
ejpam-6624	59	14	typically	typically	ADV
ejpam-6624	59	15	generate	generate	VERB
ejpam-6624	59	16	only	only	ADV
ejpam-6624	59	17	a	a	DET
ejpam-6624	59	18	narrow	narrow	ADJ
ejpam-6624	59	19	class	class	NOUN
ejpam-6624	59	20	of	of	ADP
ejpam-6624	59	21	hyperbolic	hyperbolic	ADJ
ejpam-6624	59	22	or	or	CCONJ
ejpam-6624	59	23	trigonometric	trigonometric	ADJ
ejpam-6624	59	24	solutions	solution	NOUN
ejpam-6624	59	25	.	.	PUNCT
ejpam-6624	60	1	their	their	PRON
ejpam-6624	60	2	s.	s.	PROPN
ejpam-6624	60	3	phoosree	phoosree	NOUN
ejpam-6624	60	4	et	et	PROPN
ejpam-6624	60	5	al	al	PROPN
ejpam-6624	60	6	.	.	PUNCT
ejpam-6624	60	7	/	/	SYM
ejpam-6624	60	8	eur	eur	PROPN
ejpam-6624	60	9	.	.	PUNCT
ejpam-6624	61	1	j.	j.	PROPN
ejpam-6624	61	2	pure	pure	PROPN
ejpam-6624	61	3	appl	appl	PROPN
ejpam-6624	61	4	.	.	PROPN
ejpam-6624	61	5	math	math	PROPN
ejpam-6624	61	6	,	,	PUNCT
ejpam-6624	61	7	18	18	NUM
ejpam-6624	61	8	(	(	PUNCT
ejpam-6624	61	9	4	4	NUM
ejpam-6624	61	10	)	)	PUNCT
ejpam-6624	61	11	(	(	PUNCT
ejpam-6624	61	12	2025	2025	NUM
ejpam-6624	61	13	)	)	PUNCT
ejpam-6624	61	14	,	,	PUNCT
ejpam-6624	61	15	6624	6624	NUM
ejpam-6624	61	16	4	4	NUM
ejpam-6624	61	17	of	of	ADP
ejpam-6624	61	18	24	24	NUM
ejpam-6624	61	19	effectiveness	effectiveness	NOUN
ejpam-6624	61	20	also	also	ADV
ejpam-6624	61	21	decreases	decrease	VERB
ejpam-6624	61	22	when	when	SCONJ
ejpam-6624	61	23	extended	extend	VERB
ejpam-6624	61	24	to	to	ADP
ejpam-6624	61	25	higher	higher	ADV
ejpam-6624	61	26	-	-	PUNCT
ejpam-6624	61	27	dimensional	dimensional	ADJ
ejpam-6624	61	28	or	or	CCONJ
ejpam-6624	61	29	fractional	fractional	ADJ
ejpam-6624	61	30	-	-	PUNCT
ejpam-6624	61	31	order	order	NOUN
ejpam-6624	61	32	problems	problem	NOUN
ejpam-6624	61	33	.	.	PUNCT
ejpam-6624	62	1	this	this	DET
ejpam-6624	62	2	limitation	limitation	NOUN
ejpam-6624	62	3	reveals	reveal	VERB
ejpam-6624	62	4	a	a	DET
ejpam-6624	62	5	clear	clear	ADJ
ejpam-6624	62	6	research	research	NOUN
ejpam-6624	62	7	gap	gap	NOUN
ejpam-6624	62	8	:	:	PUNCT
ejpam-6624	62	9	the	the	DET
ejpam-6624	62	10	need	need	NOUN
ejpam-6624	62	11	for	for	ADP
ejpam-6624	62	12	a	a	DET
ejpam-6624	62	13	systematic	systematic	ADJ
ejpam-6624	62	14	approach	approach	NOUN
ejpam-6624	62	15	that	that	PRON
ejpam-6624	62	16	can	can	AUX
ejpam-6624	62	17	provide	provide	VERB
ejpam-6624	62	18	a	a	DET
ejpam-6624	62	19	wider	wide	ADJ
ejpam-6624	62	20	variety	variety	NOUN
ejpam-6624	62	21	of	of	ADP
ejpam-6624	62	22	exact	exact	ADJ
ejpam-6624	62	23	solutions	solution	NOUN
ejpam-6624	62	24	.	.	PUNCT
ejpam-6624	63	1	in	in	ADP
ejpam-6624	63	2	this	this	DET
ejpam-6624	63	3	work	work	NOUN
ejpam-6624	63	4	,	,	PUNCT
ejpam-6624	63	5	we	we	PRON
ejpam-6624	63	6	address	address	VERB
ejpam-6624	63	7	this	this	DET
ejpam-6624	63	8	issue	issue	NOUN
ejpam-6624	63	9	by	by	ADP
ejpam-6624	63	10	employing	employ	VERB
ejpam-6624	63	11	the	the	DET
ejpam-6624	63	12	generalized	generalized	ADJ
ejpam-6624	63	13	riccati	riccati	NOUN
ejpam-6624	63	14	equation	equation	NOUN
ejpam-6624	63	15	mapping	mapping	NOUN
ejpam-6624	63	16	method	method	NOUN
ejpam-6624	63	17	with	with	ADP
ejpam-6624	63	18	jumarie	jumarie	PROPN
ejpam-6624	63	19	’s	’s	PART
ejpam-6624	63	20	riemann	riemann	PROPN
ejpam-6624	63	21	–	–	PUNCT
ejpam-6624	63	22	liouville	liouville	VERB
ejpam-6624	63	23	fractional	fractional	ADJ
ejpam-6624	63	24	derivative	derivative	NOUN
ejpam-6624	63	25	to	to	PART
ejpam-6624	63	26	derive	derive	VERB
ejpam-6624	63	27	27	27	NUM
ejpam-6624	63	28	analytic	analytic	ADJ
ejpam-6624	63	29	solutions	solution	NOUN
ejpam-6624	63	30	of	of	ADP
ejpam-6624	63	31	the	the	DET
ejpam-6624	63	32	ckg	ckg	NOUN
ejpam-6624	63	33	and	and	CCONJ
ejpam-6624	63	34	akns	akns	NOUN
ejpam-6624	63	35	equations	equation	NOUN
ejpam-6624	63	36	,	,	PUNCT
ejpam-6624	63	37	including	include	VERB
ejpam-6624	63	38	kink	kink	NOUN
ejpam-6624	63	39	-	-	PUNCT
ejpam-6624	63	40	type	type	NOUN
ejpam-6624	63	41	and	and	CCONJ
ejpam-6624	63	42	periodic	periodic	ADJ
ejpam-6624	63	43	wave	wave	NOUN
ejpam-6624	63	44	behaviors	behavior	NOUN
ejpam-6624	63	45	.	.	PUNCT
ejpam-6624	64	1	the	the	DET
ejpam-6624	64	2	following	follow	VERB
ejpam-6624	64	3	is	be	AUX
ejpam-6624	64	4	the	the	DET
ejpam-6624	64	5	outline	outline	NOUN
ejpam-6624	64	6	of	of	ADP
ejpam-6624	64	7	the	the	DET
ejpam-6624	64	8	paper	paper	NOUN
ejpam-6624	64	9	:	:	PUNCT
ejpam-6624	64	10	within	within	ADP
ejpam-6624	64	11	section	section	NOUN
ejpam-6624	64	12	2	2	NUM
ejpam-6624	64	13	,	,	PUNCT
ejpam-6624	64	14	a	a	DET
ejpam-6624	64	15	comprehensive	comprehensive	ADJ
ejpam-6624	64	16	description	description	NOUN
ejpam-6624	64	17	of	of	ADP
ejpam-6624	64	18	the	the	DET
ejpam-6624	64	19	algorithm	algorithm	NOUN
ejpam-6624	64	20	for	for	ADP
ejpam-6624	64	21	the	the	DET
ejpam-6624	64	22	generalized	generalize	VERB
ejpam-6624	64	23	riccati	riccati	NOUN
ejpam-6624	64	24	equation	equation	NOUN
ejpam-6624	64	25	mapping	mapping	NOUN
ejpam-6624	64	26	method	method	NOUN
ejpam-6624	64	27	may	may	AUX
ejpam-6624	64	28	be	be	AUX
ejpam-6624	64	29	found	find	VERB
ejpam-6624	64	30	.	.	PUNCT
ejpam-6624	65	1	in	in	ADP
ejpam-6624	65	2	section	section	NOUN
ejpam-6624	65	3	3	3	NUM
ejpam-6624	65	4	,	,	PUNCT
ejpam-6624	65	5	the	the	DET
ejpam-6624	65	6	method	method	NOUN
ejpam-6624	65	7	is	be	AUX
ejpam-6624	65	8	used	use	VERB
ejpam-6624	65	9	to	to	PART
ejpam-6624	65	10	solve	solve	VERB
ejpam-6624	65	11	the	the	DET
ejpam-6624	65	12	nonlinear	nonlinear	ADJ
ejpam-6624	65	13	evolution	evolution	NOUN
ejpam-6624	65	14	equations	equation	NOUN
ejpam-6624	65	15	that	that	PRON
ejpam-6624	65	16	were	be	AUX
ejpam-6624	65	17	explored	explore	VERB
ejpam-6624	65	18	in	in	ADP
ejpam-6624	65	19	the	the	DET
ejpam-6624	65	20	previous	previous	ADJ
ejpam-6624	65	21	section	section	NOUN
ejpam-6624	65	22	.	.	PUNCT
ejpam-6624	66	1	the	the	DET
ejpam-6624	66	2	discussion	discussion	NOUN
ejpam-6624	66	3	and	and	CCONJ
ejpam-6624	66	4	results	result	NOUN
ejpam-6624	66	5	are	be	AUX
ejpam-6624	66	6	presented	present	VERB
ejpam-6624	66	7	in	in	ADP
ejpam-6624	66	8	section	section	NOUN
ejpam-6624	66	9	4	4	NUM
ejpam-6624	66	10	.	.	PUNCT
ejpam-6624	66	11	to	to	PART
ejpam-6624	66	12	summarize	summarize	VERB
ejpam-6624	66	13	,	,	PUNCT
ejpam-6624	66	14	the	the	DET
ejpam-6624	66	15	conclusion	conclusion	NOUN
ejpam-6624	66	16	is	be	AUX
ejpam-6624	66	17	presented	present	VERB
ejpam-6624	66	18	in	in	ADP
ejpam-6624	66	19	section	section	NOUN
ejpam-6624	66	20	5	5	NUM
ejpam-6624	66	21	.	.	NOUN
ejpam-6624	67	1	2	2	NUM
ejpam-6624	67	2	.	.	X
ejpam-6624	67	3	algorithm	algorithm	NOUN
ejpam-6624	67	4	of	of	ADP
ejpam-6624	67	5	generalized	generalized	ADJ
ejpam-6624	67	6	riccati	riccati	NOUN
ejpam-6624	67	7	equation	equation	NOUN
ejpam-6624	67	8	mapping	mapping	NOUN
ejpam-6624	67	9	method	method	NOUN
ejpam-6624	67	10	for	for	ADP
ejpam-6624	67	11	the	the	DET
ejpam-6624	67	12	purpose	purpose	NOUN
ejpam-6624	67	13	of	of	ADP
ejpam-6624	67	14	solving	solve	VERB
ejpam-6624	67	15	fractional	fractional	ADJ
ejpam-6624	67	16	partial	partial	ADJ
ejpam-6624	67	17	differential	differential	NOUN
ejpam-6624	67	18	equations	equation	NOUN
ejpam-6624	68	1	,	,	PUNCT
ejpam-6624	68	2	we	we	PRON
ejpam-6624	68	3	will	will	AUX
ejpam-6624	68	4	be	be	AUX
ejpam-6624	68	5	discussing	discuss	VERB
ejpam-6624	68	6	the	the	DET
ejpam-6624	68	7	generalized	generalize	VERB
ejpam-6624	68	8	riccati	riccati	NOUN
ejpam-6624	68	9	equation	equation	NOUN
ejpam-6624	68	10	mapping	mapping	NOUN
ejpam-6624	68	11	method	method	NOUN
ejpam-6624	68	12	in	in	ADP
ejpam-6624	68	13	this	this	DET
ejpam-6624	68	14	section	section	NOUN
ejpam-6624	68	15	.	.	PUNCT
ejpam-6624	69	1	an	an	DET
ejpam-6624	69	2	illustration	illustration	NOUN
ejpam-6624	69	3	of	of	ADP
ejpam-6624	69	4	the	the	DET
ejpam-6624	69	5	general	general	ADJ
ejpam-6624	69	6	form	form	NOUN
ejpam-6624	69	7	of	of	ADP
ejpam-6624	69	8	fractional	fractional	ADJ
ejpam-6624	69	9	pdes	pde	NOUN
ejpam-6624	69	10	is	be	AUX
ejpam-6624	69	11	as	as	SCONJ
ejpam-6624	69	12	follows	follow	VERB
ejpam-6624	69	13	:	:	PUNCT
ejpam-6624	69	14	ψ(u	ψ(u	PROPN
ejpam-6624	69	15	,	,	PUNCT
ejpam-6624	69	16	ux	ux	PROPN
ejpam-6624	69	17	,	,	PUNCT
ejpam-6624	69	18	uy	uy	PROPN
ejpam-6624	69	19	,	,	PUNCT
ejpam-6624	69	20	ut	ut	PROPN
ejpam-6624	69	21	,	,	PUNCT
ejpam-6624	69	22	uxx	uxx	PROPN
ejpam-6624	69	23	,	,	PUNCT
ejpam-6624	69	24	uyx	uyx	PROPN
ejpam-6624	69	25	,	,	PUNCT
ejpam-6624	69	26	utx	utx	PROPN
ejpam-6624	69	27	,	,	PUNCT
ejpam-6624	69	28	.	.	PUNCT
ejpam-6624	69	29	.	.	PUNCT
ejpam-6624	69	30	.	.	PUNCT
ejpam-6624	69	31	)	)	PUNCT
ejpam-6624	70	1	=	=	PUNCT
ejpam-6624	70	2	0	0	NUM
ejpam-6624	70	3	,	,	PUNCT
ejpam-6624	70	4	(	(	PUNCT
ejpam-6624	70	5	8)	8)	NUM
ejpam-6624	70	6	where	where	SCONJ
ejpam-6624	70	7	ψ	ψ	NOUN
ejpam-6624	70	8	is	be	AUX
ejpam-6624	70	9	a	a	DET
ejpam-6624	70	10	polynomial	polynomial	NOUN
ejpam-6624	70	11	of	of	ADP
ejpam-6624	70	12	u(x	u(x	NOUN
ejpam-6624	70	13	,	,	PUNCT
ejpam-6624	70	14	y	y	PROPN
ejpam-6624	70	15	,	,	PUNCT
ejpam-6624	70	16	t	t	PROPN
ejpam-6624	70	17	)	)	PUNCT
ejpam-6624	70	18	and	and	CCONJ
ejpam-6624	70	19	its	its	PRON
ejpam-6624	70	20	partial	partial	ADJ
ejpam-6624	70	21	derivatives	derivative	NOUN
ejpam-6624	70	22	,	,	PUNCT
ejpam-6624	70	23	devoting	devote	VERB
ejpam-6624	70	24	particular	particular	ADJ
ejpam-6624	70	25	attention	attention	NOUN
ejpam-6624	70	26	to	to	ADP
ejpam-6624	70	27	the	the	DET
ejpam-6624	70	28	highest	high	ADJ
ejpam-6624	70	29	order	order	NOUN
ejpam-6624	70	30	derivatives	derivative	NOUN
ejpam-6624	70	31	and	and	CCONJ
ejpam-6624	70	32	nonlinear	nonlinear	ADJ
ejpam-6624	70	33	terms	term	NOUN
ejpam-6624	70	34	in	in	ADP
ejpam-6624	70	35	relation	relation	NOUN
ejpam-6624	70	36	to	to	ADP
ejpam-6624	70	37	the	the	DET
ejpam-6624	70	38	functions	function	NOUN
ejpam-6624	70	39	.	.	PUNCT
ejpam-6624	71	1	within	within	ADP
ejpam-6624	71	2	the	the	DET
ejpam-6624	71	3	framework	framework	NOUN
ejpam-6624	71	4	of	of	ADP
ejpam-6624	71	5	the	the	DET
ejpam-6624	71	6	generalized	generalize	VERB
ejpam-6624	71	7	riccati	riccati	NOUN
ejpam-6624	71	8	equation	equation	NOUN
ejpam-6624	71	9	mapping	mapping	NOUN
ejpam-6624	71	10	method	method	NOUN
ejpam-6624	71	11	,	,	PUNCT
ejpam-6624	71	12	the	the	DET
ejpam-6624	71	13	following	follow	VERB
ejpam-6624	71	14	is	be	AUX
ejpam-6624	71	15	an	an	DET
ejpam-6624	71	16	overview	overview	NOUN
ejpam-6624	71	17	of	of	ADP
ejpam-6624	71	18	the	the	DET
ejpam-6624	71	19	first	first	ADJ
ejpam-6624	71	20	step	step	NOUN
ejpam-6624	71	21	involved	involve	VERB
ejpam-6624	71	22	:	:	PUNCT
ejpam-6624	71	23	step	step	NOUN
ejpam-6624	71	24	1	1	NUM
ejpam-6624	71	25	.	.	PUNCT
ejpam-6624	72	1	wave	wave	NOUN
ejpam-6624	72	2	transforming	transform	VERB
ejpam-6624	72	3	the	the	DET
ejpam-6624	72	4	traveling	travel	VERB
ejpam-6624	72	5	wave	wave	NOUN
ejpam-6624	72	6	solution	solution	NOUN
ejpam-6624	72	7	to	to	ADP
ejpam-6624	72	8	fractional	fractional	ADJ
ejpam-6624	72	9	partial	partial	ADJ
ejpam-6624	72	10	differential	differential	NOUN
ejpam-6624	72	11	equations	equation	NOUN
ejpam-6624	72	12	is	be	AUX
ejpam-6624	72	13	a	a	DET
ejpam-6624	72	14	solution	solution	NOUN
ejpam-6624	72	15	that	that	PRON
ejpam-6624	72	16	meets	meet	VERB
ejpam-6624	72	17	the	the	DET
ejpam-6624	72	18	following	following	ADJ
ejpam-6624	72	19	conditions	condition	NOUN
ejpam-6624	72	20	:	:	PUNCT
ejpam-6624	72	21	u(x	u(x	PROPN
ejpam-6624	72	22	,	,	PUNCT
ejpam-6624	72	23	y	y	PROPN
ejpam-6624	72	24	,	,	PUNCT
ejpam-6624	72	25	t	t	PROPN
ejpam-6624	72	26	)	)	PUNCT
ejpam-6624	72	27	=	=	SYM
ejpam-6624	72	28	u(β	u(β	PROPN
ejpam-6624	72	29	)	)	PUNCT
ejpam-6624	72	30	,	,	PUNCT
ejpam-6624	72	31	β	β	X
ejpam-6624	72	32	=	=	PUNCT
ejpam-6624	72	33	axα	axα	VERB
ejpam-6624	72	34	γ(α+	γ(α+	DET
ejpam-6624	72	35	1	1	NUM
ejpam-6624	72	36	)	)	PUNCT
ejpam-6624	73	1	+	+	NUM
ejpam-6624	73	2	byα	byα	ADJ
ejpam-6624	73	3	γ(α+	γ(α+	ADJ
ejpam-6624	73	4	1	1	NUM
ejpam-6624	73	5	)	)	PUNCT
ejpam-6624	73	6	−	−	NOUN
ejpam-6624	73	7	ctα	ctα	VERB
ejpam-6624	73	8	γ(α+	γ(α+	DET
ejpam-6624	73	9	1	1	NUM
ejpam-6624	73	10	)	)	PUNCT
ejpam-6624	73	11	,	,	PUNCT
ejpam-6624	73	12	(	(	PUNCT
ejpam-6624	73	13	9	9	X
ejpam-6624	73	14	)	)	PUNCT
ejpam-6624	73	15	where	where	SCONJ
ejpam-6624	73	16	β	β	PROPN
ejpam-6624	73	17	is	be	AUX
ejpam-6624	73	18	a	a	DET
ejpam-6624	73	19	broad	broad	ADJ
ejpam-6624	73	20	word	word	NOUN
ejpam-6624	73	21	for	for	ADP
ejpam-6624	73	22	a	a	DET
ejpam-6624	73	23	wave	wave	NOUN
ejpam-6624	73	24	that	that	PRON
ejpam-6624	73	25	is	be	AUX
ejpam-6624	73	26	moving	move	VERB
ejpam-6624	73	27	,	,	PUNCT
ejpam-6624	73	28	and	and	CCONJ
ejpam-6624	73	29	c	c	NOUN
ejpam-6624	73	30	is	be	AUX
ejpam-6624	73	31	a	a	DET
ejpam-6624	73	32	constant	constant	ADJ
ejpam-6624	73	33	that	that	PRON
ejpam-6624	73	34	represents	represent	VERB
ejpam-6624	73	35	the	the	DET
ejpam-6624	73	36	wave	wave	NOUN
ejpam-6624	73	37	’s	’s	PART
ejpam-6624	73	38	velocity	velocity	NOUN
ejpam-6624	73	39	.	.	PUNCT
ejpam-6624	74	1	we	we	PRON
ejpam-6624	74	2	refer	refer	VERB
ejpam-6624	74	3	to	to	ADP
ejpam-6624	74	4	a	a	DET
ejpam-6624	74	5	wave	wave	NOUN
ejpam-6624	74	6	as	as	ADP
ejpam-6624	74	7	stationary	stationary	ADJ
ejpam-6624	74	8	when	when	SCONJ
ejpam-6624	74	9	c	c	PROPN
ejpam-6624	74	10	equals	equal	VERB
ejpam-6624	74	11	zero	zero	NUM
ejpam-6624	74	12	.	.	PUNCT
ejpam-6624	75	1	when	when	SCONJ
ejpam-6624	75	2	the	the	DET
ejpam-6624	75	3	value	value	NOUN
ejpam-6624	75	4	of	of	ADP
ejpam-6624	75	5	c	c	PROPN
ejpam-6624	75	6	is	be	AUX
ejpam-6624	75	7	more	more	ADJ
ejpam-6624	75	8	than	than	ADP
ejpam-6624	75	9	zero	zero	NUM
ejpam-6624	75	10	,	,	PUNCT
ejpam-6624	75	11	the	the	DET
ejpam-6624	75	12	wave	wave	NOUN
ejpam-6624	75	13	goes	go	VERB
ejpam-6624	75	14	in	in	ADP
ejpam-6624	75	15	a	a	DET
ejpam-6624	75	16	positive	positive	ADJ
ejpam-6624	75	17	direction	direction	NOUN
ejpam-6624	75	18	,	,	PUNCT
ejpam-6624	75	19	whereas	whereas	SCONJ
ejpam-6624	75	20	when	when	SCONJ
ejpam-6624	75	21	c	c	NOUN
ejpam-6624	75	22	is	be	AUX
ejpam-6624	75	23	less	less	ADJ
ejpam-6624	75	24	than	than	ADP
ejpam-6624	75	25	zero	zero	NUM
ejpam-6624	75	26	,	,	PUNCT
ejpam-6624	75	27	the	the	DET
ejpam-6624	75	28	wave	wave	NOUN
ejpam-6624	75	29	moves	move	VERB
ejpam-6624	75	30	in	in	ADP
ejpam-6624	75	31	a	a	DET
ejpam-6624	75	32	negative	negative	ADJ
ejpam-6624	75	33	direction	direction	NOUN
ejpam-6624	75	34	.	.	PUNCT
ejpam-6624	76	1	taking	take	VERB
ejpam-6624	76	2	equation	equation	NOUN
ejpam-6624	76	3	(	(	PUNCT
ejpam-6624	76	4	8)	8)	NUM
ejpam-6624	76	5	and	and	CCONJ
ejpam-6624	76	6	decreasing	decrease	VERB
ejpam-6624	76	7	it	it	PRON
ejpam-6624	76	8	to	to	ADP
ejpam-6624	76	9	an	an	DET
ejpam-6624	76	10	ode	ode	PROPN
ejpam-6624	76	11	φ	φ	X
ejpam-6624	76	12	(	(	PUNCT
ejpam-6624	76	13	u	u	PROPN
ejpam-6624	76	14	,	,	PUNCT
ejpam-6624	76	15	du	du	PROPN
ejpam-6624	76	16	dβ	dβ	ADV
ejpam-6624	76	17	,	,	PUNCT
ejpam-6624	76	18	d2u	d2u	ADV
ejpam-6624	76	19	dβ2	dβ2	VERB
ejpam-6624	76	20	,	,	PUNCT
ejpam-6624	76	21	d3u	d3u	PROPN
ejpam-6624	76	22	dβ3	dβ3	NOUN
ejpam-6624	76	23	,	,	PUNCT
ejpam-6624	76	24	.	.	PUNCT
ejpam-6624	76	25	.	.	PUNCT
ejpam-6624	76	26	.	.	PUNCT
ejpam-6624	76	27	)	)	PUNCT
ejpam-6624	77	1	=	=	PUNCT
ejpam-6624	77	2	0	0	NUM
ejpam-6624	77	3	,	,	PUNCT
ejpam-6624	77	4	(	(	PUNCT
ejpam-6624	77	5	10	10	NUM
ejpam-6624	77	6	)	)	PUNCT
ejpam-6624	77	7	where	where	SCONJ
ejpam-6624	77	8	φ	φ	PROPN
ejpam-6624	77	9	is	be	AUX
ejpam-6624	77	10	a	a	DET
ejpam-6624	77	11	polynomial	polynomial	NOUN
ejpam-6624	77	12	in	in	ADP
ejpam-6624	77	13	u(β	u(β	PROPN
ejpam-6624	77	14	)	)	PUNCT
ejpam-6624	77	15	and	and	CCONJ
ejpam-6624	77	16	its	its	PRON
ejpam-6624	77	17	derivatives	derivative	NOUN
ejpam-6624	77	18	.	.	PUNCT
ejpam-6624	78	1	step	step	NOUN
ejpam-6624	78	2	2	2	NUM
ejpam-6624	78	3	.	.	PUNCT
ejpam-6624	78	4	assumption	assumption	NOUN
ejpam-6624	78	5	of	of	ADP
ejpam-6624	78	6	solution	solution	NOUN
ejpam-6624	78	7	when	when	SCONJ
ejpam-6624	78	8	written	write	VERB
ejpam-6624	78	9	out	out	ADP
ejpam-6624	78	10	in	in	ADP
ejpam-6624	78	11	the	the	DET
ejpam-6624	78	12	form	form	NOUN
ejpam-6624	78	13	of	of	ADP
ejpam-6624	78	14	a	a	DET
ejpam-6624	78	15	finite	finite	ADJ
ejpam-6624	78	16	series	series	NOUN
ejpam-6624	78	17	,	,	PUNCT
ejpam-6624	78	18	the	the	DET
ejpam-6624	78	19	solution	solution	NOUN
ejpam-6624	78	20	to	to	ADP
ejpam-6624	78	21	equation	equation	NOUN
ejpam-6624	78	22	(	(	PUNCT
ejpam-6624	78	23	10	10	NUM
ejpam-6624	78	24	)	)	PUNCT
ejpam-6624	78	25	is	be	AUX
ejpam-6624	78	26	expressed	express	VERB
ejpam-6624	78	27	as	as	ADP
ejpam-6624	78	28	u(β	u(β	NOUN
ejpam-6624	78	29	)	)	PUNCT
ejpam-6624	79	1	=	=	SYM
ejpam-6624	79	2	n∑	n∑	PROPN
ejpam-6624	79	3	i=0	i=0	PROPN
ejpam-6624	79	4	ρih	ρih	PROPN
ejpam-6624	79	5	i(β	i(β	PROPN
ejpam-6624	79	6	)	)	PUNCT
ejpam-6624	79	7	,	,	PUNCT
ejpam-6624	79	8	(	(	PUNCT
ejpam-6624	79	9	11	11	X
ejpam-6624	79	10	)	)	PUNCT
ejpam-6624	79	11	s.	s.	PROPN
ejpam-6624	79	12	phoosree	phoosree	INTJ
ejpam-6624	79	13	et	et	PROPN
ejpam-6624	79	14	al	al	PROPN
ejpam-6624	79	15	.	.	PUNCT
ejpam-6624	79	16	/	/	SYM
ejpam-6624	79	17	eur	eur	PROPN
ejpam-6624	79	18	.	.	PUNCT
ejpam-6624	80	1	j.	j.	PROPN
ejpam-6624	80	2	pure	pure	PROPN
ejpam-6624	80	3	appl	appl	PROPN
ejpam-6624	80	4	.	.	PROPN
ejpam-6624	80	5	math	math	PROPN
ejpam-6624	80	6	,	,	PUNCT
ejpam-6624	80	7	18	18	NUM
ejpam-6624	80	8	(	(	PUNCT
ejpam-6624	80	9	4	4	NUM
ejpam-6624	80	10	)	)	PUNCT
ejpam-6624	80	11	(	(	PUNCT
ejpam-6624	80	12	2025	2025	NUM
ejpam-6624	80	13	)	)	PUNCT
ejpam-6624	80	14	,	,	PUNCT
ejpam-6624	80	15	6624	6624	NUM
ejpam-6624	80	16	5	5	NUM
ejpam-6624	80	17	of	of	ADP
ejpam-6624	80	18	24	24	NUM
ejpam-6624	80	19	where	where	SCONJ
ejpam-6624	80	20	ρi	ρi	NOUN
ejpam-6624	80	21	are	be	AUX
ejpam-6624	80	22	real	real	ADJ
ejpam-6624	80	23	constants	constant	NOUN
ejpam-6624	80	24	and	and	CCONJ
ejpam-6624	80	25	ρn	ρn	ADP
ejpam-6624	80	26	̸=	̸=	PROPN
ejpam-6624	80	27	0	0	NUM
ejpam-6624	80	28	,	,	PUNCT
ejpam-6624	80	29	and	and	CCONJ
ejpam-6624	80	30	h(β	h(β	PROPN
ejpam-6624	80	31	)	)	PUNCT
ejpam-6624	80	32	is	be	AUX
ejpam-6624	80	33	dependent	dependent	ADJ
ejpam-6624	80	34	on	on	ADP
ejpam-6624	80	35	the	the	DET
ejpam-6624	80	36	generalized	generalize	VERB
ejpam-6624	80	37	riccati	riccati	NOUN
ejpam-6624	80	38	equation	equation	NOUN
ejpam-6624	80	39	mapping	mapping	NOUN
ejpam-6624	80	40	method	method	NOUN
ejpam-6624	80	41	[	[	X
ejpam-6624	80	42	6	6	NUM
ejpam-6624	80	43	]	]	PUNCT
ejpam-6624	80	44	,	,	PUNCT
ejpam-6624	80	45	the	the	DET
ejpam-6624	80	46	following	follow	VERB
ejpam-6624	80	47	is	be	AUX
ejpam-6624	80	48	what	what	PRON
ejpam-6624	80	49	it	it	PRON
ejpam-6624	80	50	says	say	VERB
ejpam-6624	80	51	.	.	PUNCT
ejpam-6624	81	1	h	h	PROPN
ejpam-6624	81	2	′(β	′(β	VERB
ejpam-6624	81	3	)	)	PUNCT
ejpam-6624	82	1	=	=	SYM
ejpam-6624	82	2	r	r	NOUN
ejpam-6624	82	3	+	+	CCONJ
ejpam-6624	82	4	ch(β	ch(β	X
ejpam-6624	82	5	)	)	PUNCT
ejpam-6624	82	6	+	+	CCONJ
ejpam-6624	82	7	kh2(β	kh2(β	PROPN
ejpam-6624	82	8	)	)	PUNCT
ejpam-6624	82	9	,	,	PUNCT
ejpam-6624	82	10	(	(	PUNCT
ejpam-6624	82	11	12	12	NUM
ejpam-6624	82	12	)	)	PUNCT
ejpam-6624	82	13	where	where	SCONJ
ejpam-6624	82	14	r	r	NOUN
ejpam-6624	82	15	,	,	PUNCT
ejpam-6624	82	16	s	s	PART
ejpam-6624	82	17	and	and	CCONJ
ejpam-6624	82	18	k	k	PROPN
ejpam-6624	82	19	are	be	AUX
ejpam-6624	82	20	the	the	DET
ejpam-6624	82	21	constants	constant	NOUN
ejpam-6624	82	22	that	that	PRON
ejpam-6624	82	23	are	be	AUX
ejpam-6624	82	24	not	not	PART
ejpam-6624	82	25	always	always	ADV
ejpam-6624	82	26	zero	zero	NUM
ejpam-6624	82	27	.	.	PUNCT
ejpam-6624	83	1	for	for	ADP
ejpam-6624	83	2	equation	equation	NOUN
ejpam-6624	83	3	(	(	PUNCT
ejpam-6624	83	4	12	12	NUM
ejpam-6624	83	5	)	)	PUNCT
ejpam-6624	83	6	,	,	PUNCT
ejpam-6624	83	7	there	there	PRON
ejpam-6624	83	8	are	be	VERB
ejpam-6624	83	9	twenty	twenty	NUM
ejpam-6624	83	10	-	-	PUNCT
ejpam-6624	83	11	seven	seven	NUM
ejpam-6624	83	12	different	different	ADJ
ejpam-6624	83	13	solutions	solution	NOUN
ejpam-6624	83	14	available	available	ADJ
ejpam-6624	83	15	.	.	PUNCT
ejpam-6624	84	1	type	type	NOUN
ejpam-6624	85	1	i	i	PRON
ejpam-6624	85	2	:	:	PUNCT
ejpam-6624	85	3	when	when	SCONJ
ejpam-6624	85	4	φ	φ	PROPN
ejpam-6624	85	5	=	=	SYM
ejpam-6624	85	6	s2	s2	PROPN
ejpam-6624	85	7	−	−	PROPN
ejpam-6624	85	8	4rk	4rk	NOUN
ejpam-6624	85	9	>	>	X
ejpam-6624	85	10	0	0	PUNCT
ejpam-6624	85	11	and	and	CCONJ
ejpam-6624	85	12	sk	sk	ADP
ejpam-6624	85	13	̸=	̸=	PROPN
ejpam-6624	85	14	0	0	NUM
ejpam-6624	85	15	or	or	CCONJ
ejpam-6624	85	16	rk	rk	PRON
ejpam-6624	85	17	̸=	̸=	PROPN
ejpam-6624	85	18	0	0	NUM
ejpam-6624	85	19	,	,	PUNCT
ejpam-6624	85	20	we	we	PRON
ejpam-6624	85	21	obtained	obtain	VERB
ejpam-6624	85	22	h1(β	h1(β	PROPN
ejpam-6624	85	23	)	)	PUNCT
ejpam-6624	85	24	=	=	SYM
ejpam-6624	86	1	−	−	PROPN
ejpam-6624	86	2	1	1	NUM
ejpam-6624	86	3	2k	2k	NOUN
ejpam-6624	86	4	(	(	PUNCT
ejpam-6624	86	5	s+	s+	ADV
ejpam-6624	86	6	√	√	PROPN
ejpam-6624	86	7	φ	φ	NUM
ejpam-6624	86	8	tanh	tanh	PROPN
ejpam-6624	86	9	(	(	PUNCT
ejpam-6624	86	10	√	√	PROPN
ejpam-6624	86	11	φ	φ	NUM
ejpam-6624	86	12	2	2	NUM
ejpam-6624	86	13	β	β	X
ejpam-6624	86	14	)	)	PUNCT
ejpam-6624	86	15	)	)	PUNCT
ejpam-6624	86	16	,	,	PUNCT
ejpam-6624	86	17	(	(	PUNCT
ejpam-6624	86	18	13	13	X
ejpam-6624	86	19	)	)	PUNCT
ejpam-6624	86	20	h2(β	h2(β	NOUN
ejpam-6624	86	21	)	)	PUNCT
ejpam-6624	86	22	=	=	SYM
ejpam-6624	87	1	−	−	PROPN
ejpam-6624	87	2	1	1	NUM
ejpam-6624	87	3	2k	2k	NOUN
ejpam-6624	87	4	(	(	PUNCT
ejpam-6624	87	5	s+	s+	NUM
ejpam-6624	87	6	√	√	PROPN
ejpam-6624	87	7	φ	φ	NUM
ejpam-6624	87	8	coth	coth	PROPN
ejpam-6624	87	9	(	(	PUNCT
ejpam-6624	87	10	√	√	PROPN
ejpam-6624	87	11	φ	φ	NUM
ejpam-6624	87	12	2	2	NUM
ejpam-6624	87	13	β	β	X
ejpam-6624	87	14	)	)	PUNCT
ejpam-6624	87	15	)	)	PUNCT
ejpam-6624	87	16	,	,	PUNCT
ejpam-6624	87	17	(	(	PUNCT
ejpam-6624	87	18	14	14	NUM
ejpam-6624	87	19	)	)	PUNCT
ejpam-6624	87	20	h3(β	h3(β	NOUN
ejpam-6624	87	21	)	)	PUNCT
ejpam-6624	87	22	=	=	SYM
ejpam-6624	88	1	−	−	PROPN
ejpam-6624	88	2	1	1	NUM
ejpam-6624	88	3	2k	2k	NOUN
ejpam-6624	88	4	(	(	PUNCT
ejpam-6624	88	5	s+	s+	NUM
ejpam-6624	88	6	√	√	PROPN
ejpam-6624	88	7	φ	φ	PROPN
ejpam-6624	88	8	(	(	PUNCT
ejpam-6624	88	9	tanh	tanh	PROPN
ejpam-6624	88	10	(	(	PUNCT
ejpam-6624	88	11	√	√	NUM
ejpam-6624	88	12	φβ)±	φβ)±	NOUN
ejpam-6624	88	13	i	i	PRON
ejpam-6624	88	14	sech	sech	VERB
ejpam-6624	88	15	(	(	PUNCT
ejpam-6624	88	16	√	√	NUM
ejpam-6624	88	17	φβ	φβ	NUM
ejpam-6624	88	18	)	)	PUNCT
ejpam-6624	88	19	)	)	PUNCT
ejpam-6624	88	20	)	)	PUNCT
ejpam-6624	88	21	,	,	PUNCT
ejpam-6624	88	22	(	(	PUNCT
ejpam-6624	88	23	15	15	X
ejpam-6624	88	24	)	)	PUNCT
ejpam-6624	88	25	h4(β	h4(β	NOUN
ejpam-6624	88	26	)	)	PUNCT
ejpam-6624	88	27	=	=	SYM
ejpam-6624	89	1	−	−	PROPN
ejpam-6624	89	2	1	1	NUM
ejpam-6624	89	3	2k	2k	NOUN
ejpam-6624	89	4	(	(	PUNCT
ejpam-6624	89	5	s+	s+	NUM
ejpam-6624	89	6	√	√	PROPN
ejpam-6624	89	7	φ	φ	PROPN
ejpam-6624	89	8	(	(	PUNCT
ejpam-6624	89	9	coth	coth	PROPN
ejpam-6624	89	10	(	(	PUNCT
ejpam-6624	89	11	√	√	NUM
ejpam-6624	89	12	φβ)±	φβ)±	NUM
ejpam-6624	89	13	csch	csch	NOUN
ejpam-6624	89	14	(	(	PUNCT
ejpam-6624	89	15	√	√	NUM
ejpam-6624	89	16	φβ	φβ	NUM
ejpam-6624	89	17	)	)	PUNCT
ejpam-6624	89	18	)	)	PUNCT
ejpam-6624	89	19	)	)	PUNCT
ejpam-6624	89	20	,	,	PUNCT
ejpam-6624	89	21	(	(	PUNCT
ejpam-6624	89	22	16	16	X
ejpam-6624	89	23	)	)	PUNCT
ejpam-6624	89	24	h5(β	h5(β	PROPN
ejpam-6624	89	25	)	)	PUNCT
ejpam-6624	89	26	=	=	SYM
ejpam-6624	90	1	−	−	PROPN
ejpam-6624	90	2	1	1	NUM
ejpam-6624	90	3	4k	4k	X
ejpam-6624	90	4	(	(	PUNCT
ejpam-6624	90	5	2s+	2s+	NUM
ejpam-6624	90	6	√	√	NUM
ejpam-6624	90	7	φ	φ	PROPN
ejpam-6624	90	8	(	(	PUNCT
ejpam-6624	90	9	tanh	tanh	PROPN
ejpam-6624	90	10	(	(	PUNCT
ejpam-6624	90	11	√	√	PROPN
ejpam-6624	90	12	φ	φ	NUM
ejpam-6624	90	13	4	4	NUM
ejpam-6624	90	14	β	β	X
ejpam-6624	90	15	)	)	PUNCT
ejpam-6624	91	1	+	+	CCONJ
ejpam-6624	91	2	coth	coth	NOUN
ejpam-6624	91	3	(	(	PUNCT
ejpam-6624	91	4	√	√	PROPN
ejpam-6624	91	5	φ	φ	NUM
ejpam-6624	91	6	4	4	NUM
ejpam-6624	91	7	β	β	NOUN
ejpam-6624	91	8	)	)	PUNCT
ejpam-6624	91	9	)	)	PUNCT
ejpam-6624	91	10	)	)	PUNCT
ejpam-6624	91	11	,	,	PUNCT
ejpam-6624	91	12	(	(	PUNCT
ejpam-6624	91	13	17	17	NUM
ejpam-6624	91	14	)	)	PUNCT
ejpam-6624	91	15	h6(β	h6(β	X
ejpam-6624	91	16	)	)	PUNCT
ejpam-6624	91	17	=	=	SYM
ejpam-6624	91	18	−	−	PROPN
ejpam-6624	91	19	1	1	NUM
ejpam-6624	91	20	2k	2k	NOUN
ejpam-6624	91	21	(	(	PUNCT
ejpam-6624	91	22	s−	s−	PROPN
ejpam-6624	91	23	√	√	NUM
ejpam-6624	91	24	φ(µ2	φ(µ2	NOUN
ejpam-6624	91	25	+	+	CCONJ
ejpam-6624	91	26	σ2)−	σ2)−	PROPN
ejpam-6624	91	27	µ	µ	ADJ
ejpam-6624	91	28	√	√	PROPN
ejpam-6624	91	29	φ	φ	NUM
ejpam-6624	91	30	cosh	cosh	PROPN
ejpam-6624	91	31	(	(	PUNCT
ejpam-6624	91	32	√	√	ADP
ejpam-6624	91	33	φβ	φβ	NOUN
ejpam-6624	91	34	)	)	PUNCT
ejpam-6624	91	35	µ	µ	NOUN
ejpam-6624	91	36	sinh	sinh	NOUN
ejpam-6624	91	37	(	(	PUNCT
ejpam-6624	91	38	√	√	ADP
ejpam-6624	91	39	φβ	φβ	NOUN
ejpam-6624	91	40	)	)	PUNCT
ejpam-6624	91	41	+	+	CCONJ
ejpam-6624	91	42	σ	σ	NOUN
ejpam-6624	91	43	)	)	PUNCT
ejpam-6624	91	44	,	,	PUNCT
ejpam-6624	91	45	(	(	PUNCT
ejpam-6624	91	46	18	18	NUM
ejpam-6624	91	47	)	)	PUNCT
ejpam-6624	91	48	h7(β	h7(β	NUM
ejpam-6624	91	49	)	)	PUNCT
ejpam-6624	91	50	=	=	SYM
ejpam-6624	92	1	−	−	PROPN
ejpam-6624	92	2	1	1	NUM
ejpam-6624	92	3	2k	2k	NOUN
ejpam-6624	92	4	(	(	PUNCT
ejpam-6624	92	5	s−	s−	PROPN
ejpam-6624	92	6	√	√	NUM
ejpam-6624	92	7	φ(σ2	φ(σ2	NOUN
ejpam-6624	92	8	−	−	PROPN
ejpam-6624	92	9	µ2	µ2	PROPN
ejpam-6624	92	10	)	)	PUNCT
ejpam-6624	92	11	+	+	NUM
ejpam-6624	92	12	µ	µ	X
ejpam-6624	92	13	√	√	PROPN
ejpam-6624	92	14	φ	φ	NUM
ejpam-6624	92	15	sinh	sinh	PROPN
ejpam-6624	92	16	(	(	PUNCT
ejpam-6624	92	17	√	√	ADP
ejpam-6624	92	18	φβ	φβ	NOUN
ejpam-6624	92	19	)	)	PUNCT
ejpam-6624	92	20	µ	µ	NOUN
ejpam-6624	92	21	cosh	cosh	NOUN
ejpam-6624	92	22	(	(	PUNCT
ejpam-6624	92	23	√	√	ADP
ejpam-6624	92	24	φβ	φβ	NOUN
ejpam-6624	92	25	)	)	PUNCT
ejpam-6624	92	26	+	+	CCONJ
ejpam-6624	92	27	σ	σ	NOUN
ejpam-6624	92	28	)	)	PUNCT
ejpam-6624	92	29	,	,	PUNCT
ejpam-6624	92	30	(	(	PUNCT
ejpam-6624	92	31	19	19	NUM
ejpam-6624	92	32	)	)	PUNCT
ejpam-6624	92	33	where	where	SCONJ
ejpam-6624	92	34	µ	µ	NOUN
ejpam-6624	92	35	and	and	CCONJ
ejpam-6624	92	36	σ	σ	PROPN
ejpam-6624	92	37	are	be	AUX
ejpam-6624	92	38	two	two	NUM
ejpam-6624	92	39	real	real	ADJ
ejpam-6624	92	40	constants	constant	NOUN
ejpam-6624	92	41	that	that	PRON
ejpam-6624	92	42	are	be	AUX
ejpam-6624	92	43	not	not	PART
ejpam-6624	92	44	zero	zero	NUM
ejpam-6624	92	45	,	,	PUNCT
ejpam-6624	92	46	and	and	CCONJ
ejpam-6624	92	47	they	they	PRON
ejpam-6624	92	48	meet	meet	VERB
ejpam-6624	92	49	the	the	DET
ejpam-6624	92	50	condition	condition	NOUN
ejpam-6624	92	51	that	that	SCONJ
ejpam-6624	92	52	σ2	σ2	PROPN
ejpam-6624	92	53	−	−	PROPN
ejpam-6624	92	54	µ2	µ2	PROPN
ejpam-6624	92	55	.	.	PUNCT
ejpam-6624	93	1	h8(β	h8(β	X
ejpam-6624	93	2	)	)	PUNCT
ejpam-6624	93	3	=	=	SYM
ejpam-6624	93	4	2r	2r	NUM
ejpam-6624	93	5	cosh	cosh	NOUN
ejpam-6624	93	6	(	(	PUNCT
ejpam-6624	93	7	√	√	PROPN
ejpam-6624	93	8	φ	φ	NUM
ejpam-6624	93	9	2	2	NUM
ejpam-6624	93	10	β	β	X
ejpam-6624	93	11	)	)	PUNCT
ejpam-6624	93	12	√	√	PROPN
ejpam-6624	93	13	φ	φ	NUM
ejpam-6624	93	14	sinh	sinh	PROPN
ejpam-6624	93	15	(	(	PUNCT
ejpam-6624	93	16	√	√	PROPN
ejpam-6624	93	17	φ	φ	NUM
ejpam-6624	93	18	2	2	NUM
ejpam-6624	93	19	β	β	X
ejpam-6624	93	20	)	)	PUNCT
ejpam-6624	94	1	−	−	PROPN
ejpam-6624	94	2	s	s	PART
ejpam-6624	94	3	cosh	cosh	NOUN
ejpam-6624	94	4	(	(	PUNCT
ejpam-6624	94	5	√	√	PROPN
ejpam-6624	94	6	φ	φ	NUM
ejpam-6624	94	7	2	2	NUM
ejpam-6624	94	8	β	β	X
ejpam-6624	94	9	)	)	PUNCT
ejpam-6624	94	10	,	,	PUNCT
ejpam-6624	94	11	(	(	PUNCT
ejpam-6624	94	12	20	20	NUM
ejpam-6624	94	13	)	)	PUNCT
ejpam-6624	94	14	h9(β	h9(β	NUM
ejpam-6624	94	15	)	)	PUNCT
ejpam-6624	94	16	=	=	SYM
ejpam-6624	94	17	−2r	−2r	PROPN
ejpam-6624	94	18	sinh	sinh	NOUN
ejpam-6624	94	19	(	(	PUNCT
ejpam-6624	94	20	√	√	PROPN
ejpam-6624	94	21	φ	φ	NUM
ejpam-6624	94	22	2	2	NUM
ejpam-6624	94	23	β	β	X
ejpam-6624	94	24	)	)	PUNCT
ejpam-6624	94	25	s	s	VERB
ejpam-6624	94	26	sinh	sinh	NOUN
ejpam-6624	94	27	(	(	PUNCT
ejpam-6624	94	28	√	√	PROPN
ejpam-6624	94	29	φ	φ	NUM
ejpam-6624	94	30	2	2	NUM
ejpam-6624	94	31	β	β	NOUN
ejpam-6624	94	32	)	)	PUNCT
ejpam-6624	94	33	−√	−√	PROPN
ejpam-6624	95	1	φ	φ	PROPN
ejpam-6624	95	2	cosh	cosh	PROPN
ejpam-6624	95	3	(	(	PUNCT
ejpam-6624	95	4	√	√	PROPN
ejpam-6624	95	5	φ	φ	NUM
ejpam-6624	95	6	2	2	NUM
ejpam-6624	95	7	β	β	X
ejpam-6624	95	8	)	)	PUNCT
ejpam-6624	95	9	,	,	PUNCT
ejpam-6624	95	10	(	(	PUNCT
ejpam-6624	95	11	21	21	NUM
ejpam-6624	95	12	)	)	PUNCT
ejpam-6624	95	13	h10(β	h10(β	VERB
ejpam-6624	95	14	)	)	PUNCT
ejpam-6624	95	15	=	=	SYM
ejpam-6624	95	16	2r	2r	NUM
ejpam-6624	95	17	cosh	cosh	NOUN
ejpam-6624	95	18	(	(	PUNCT
ejpam-6624	95	19	√	√	ADP
ejpam-6624	95	20	φβ	φβ	NOUN
ejpam-6624	95	21	)	)	PUNCT
ejpam-6624	95	22	√	√	PROPN
ejpam-6624	95	23	φ	φ	NUM
ejpam-6624	95	24	sinh	sinh	PROPN
ejpam-6624	95	25	(	(	PUNCT
ejpam-6624	95	26	√	√	ADP
ejpam-6624	95	27	φβ	φβ	NOUN
ejpam-6624	95	28	)	)	PUNCT
ejpam-6624	95	29	−	−	PROPN
ejpam-6624	95	30	s	s	PART
ejpam-6624	95	31	cosh	cosh	NOUN
ejpam-6624	95	32	(	(	PUNCT
ejpam-6624	95	33	√	√	ADP
ejpam-6624	95	34	φβ	φβ	NOUN
ejpam-6624	95	35	)	)	PUNCT
ejpam-6624	95	36	±	±	NOUN
ejpam-6624	95	37	i	i	PRON
ejpam-6624	95	38	√	√	VERB
ejpam-6624	95	39	φ	φ	NUM
ejpam-6624	95	40	,	,	PUNCT
ejpam-6624	95	41	(	(	PUNCT
ejpam-6624	95	42	22	22	NUM
ejpam-6624	95	43	)	)	PUNCT
ejpam-6624	95	44	h11(β	h11(β	NOUN
ejpam-6624	95	45	)	)	PUNCT
ejpam-6624	95	46	=	=	SYM
ejpam-6624	95	47	2r	2r	NUM
ejpam-6624	95	48	sinh	sinh	NOUN
ejpam-6624	95	49	(	(	PUNCT
ejpam-6624	95	50	√	√	ADP
ejpam-6624	95	51	φβ	φβ	NOUN
ejpam-6624	95	52	)	)	PUNCT
ejpam-6624	95	53	−s	−s	NOUN
ejpam-6624	95	54	sinh	sinh	NOUN
ejpam-6624	95	55	(	(	PUNCT
ejpam-6624	95	56	√	√	ADP
ejpam-6624	95	57	φβ	φβ	NOUN
ejpam-6624	95	58	)	)	PUNCT
ejpam-6624	95	59	+	+	CCONJ
ejpam-6624	95	60	√	√	ADJ
ejpam-6624	95	61	φ	φ	NUM
ejpam-6624	95	62	cosh	cosh	PROPN
ejpam-6624	95	63	(	(	PUNCT
ejpam-6624	95	64	√	√	ADP
ejpam-6624	95	65	φβ	φβ	NOUN
ejpam-6624	95	66	)	)	PUNCT
ejpam-6624	95	67	±	±	NOUN
ejpam-6624	95	68	i	i	PRON
ejpam-6624	95	69	√	√	VERB
ejpam-6624	95	70	φ	φ	NUM
ejpam-6624	95	71	,	,	PUNCT
ejpam-6624	95	72	(	(	PUNCT
ejpam-6624	95	73	23	23	NUM
ejpam-6624	95	74	)	)	PUNCT
ejpam-6624	95	75	s.	s.	PROPN
ejpam-6624	95	76	phoosree	phoosree	INTJ
ejpam-6624	95	77	et	et	PROPN
ejpam-6624	95	78	al	al	PROPN
ejpam-6624	95	79	.	.	PUNCT
ejpam-6624	95	80	/	/	SYM
ejpam-6624	95	81	eur	eur	PROPN
ejpam-6624	95	82	.	.	PUNCT
ejpam-6624	96	1	j.	j.	PROPN
ejpam-6624	96	2	pure	pure	PROPN
ejpam-6624	96	3	appl	appl	PROPN
ejpam-6624	96	4	.	.	PROPN
ejpam-6624	96	5	math	math	PROPN
ejpam-6624	96	6	,	,	PUNCT
ejpam-6624	96	7	18	18	NUM
ejpam-6624	96	8	(	(	PUNCT
ejpam-6624	96	9	4	4	NUM
ejpam-6624	96	10	)	)	PUNCT
ejpam-6624	96	11	(	(	PUNCT
ejpam-6624	96	12	2025	2025	NUM
ejpam-6624	96	13	)	)	PUNCT
ejpam-6624	96	14	,	,	PUNCT
ejpam-6624	96	15	6624	6624	NUM
ejpam-6624	96	16	6	6	NUM
ejpam-6624	96	17	of	of	ADP
ejpam-6624	96	18	24	24	NUM
ejpam-6624	96	19	h12(β	h12(β	NOUN
ejpam-6624	96	20	)	)	PUNCT
ejpam-6624	97	1	=	=	SYM
ejpam-6624	97	2	4r	4r	NUM
ejpam-6624	97	3	sinh	sinh	NOUN
ejpam-6624	97	4	(	(	PUNCT
ejpam-6624	97	5	√	√	PROPN
ejpam-6624	97	6	φ	φ	NUM
ejpam-6624	97	7	4	4	NUM
ejpam-6624	97	8	β	β	NOUN
ejpam-6624	97	9	)	)	PUNCT
ejpam-6624	97	10	cosh	cosh	NOUN
ejpam-6624	97	11	(	(	PUNCT
ejpam-6624	97	12	√	√	PROPN
ejpam-6624	97	13	φ	φ	NUM
ejpam-6624	97	14	4	4	NUM
ejpam-6624	97	15	β	β	NOUN
ejpam-6624	97	16	)	)	PUNCT
ejpam-6624	98	1	−2s	−2s	PROPN
ejpam-6624	98	2	sinh	sinh	NOUN
ejpam-6624	98	3	(	(	PUNCT
ejpam-6624	98	4	√	√	PROPN
ejpam-6624	98	5	φ	φ	NUM
ejpam-6624	98	6	4	4	NUM
ejpam-6624	98	7	β	β	NOUN
ejpam-6624	98	8	)	)	PUNCT
ejpam-6624	98	9	cosh	cosh	NOUN
ejpam-6624	98	10	(	(	PUNCT
ejpam-6624	98	11	√	√	PROPN
ejpam-6624	98	12	φ	φ	NUM
ejpam-6624	98	13	4	4	NUM
ejpam-6624	98	14	β	β	NOUN
ejpam-6624	98	15	)	)	PUNCT
ejpam-6624	99	1	+	+	CCONJ
ejpam-6624	99	2	2	2	NUM
ejpam-6624	99	3	√	√	NUM
ejpam-6624	99	4	φ	φ	NUM
ejpam-6624	99	5	cosh2	cosh2	PROPN
ejpam-6624	99	6	(	(	PUNCT
ejpam-6624	99	7	√	√	PROPN
ejpam-6624	99	8	φ	φ	NUM
ejpam-6624	99	9	4	4	NUM
ejpam-6624	99	10	β	β	NOUN
ejpam-6624	99	11	)	)	PUNCT
ejpam-6624	99	12	−√	−√	VERB
ejpam-6624	100	1	φ	φ	NOUN
ejpam-6624	100	2	,	,	PUNCT
ejpam-6624	100	3	(	(	PUNCT
ejpam-6624	100	4	24	24	NUM
ejpam-6624	100	5	)	)	PUNCT
ejpam-6624	100	6	type	type	NOUN
ejpam-6624	100	7	ii	ii	NOUN
ejpam-6624	100	8	:	:	PUNCT
ejpam-6624	100	9	when	when	SCONJ
ejpam-6624	100	10	φ	φ	PROPN
ejpam-6624	100	11	=	=	SYM
ejpam-6624	100	12	s2	s2	PROPN
ejpam-6624	100	13	−	−	PROPN
ejpam-6624	100	14	4rk	4rk	NOUN
ejpam-6624	100	15	<	<	X
ejpam-6624	100	16	0	0	PUNCT
ejpam-6624	100	17	and	and	CCONJ
ejpam-6624	100	18	sk	sk	ADP
ejpam-6624	100	19	̸=	̸=	PROPN
ejpam-6624	100	20	0	0	NUM
ejpam-6624	100	21	or	or	CCONJ
ejpam-6624	100	22	rk	rk	PRON
ejpam-6624	100	23	̸=	̸=	PROPN
ejpam-6624	100	24	0	0	NUM
ejpam-6624	100	25	,	,	PUNCT
ejpam-6624	100	26	we	we	PRON
ejpam-6624	100	27	obtain	obtain	VERB
ejpam-6624	100	28	h13(β	h13(β	NOUN
ejpam-6624	100	29	)	)	PUNCT
ejpam-6624	100	30	=	=	SYM
ejpam-6624	101	1	−	−	PROPN
ejpam-6624	101	2	1	1	NUM
ejpam-6624	101	3	2k	2k	NOUN
ejpam-6624	101	4	(	(	PUNCT
ejpam-6624	101	5	s−	s−	PROPN
ejpam-6624	101	6	√	√	VERB
ejpam-6624	101	7	−φ	−φ	PROPN
ejpam-6624	101	8	tan	tan	PROPN
ejpam-6624	101	9	(	(	PUNCT
ejpam-6624	101	10	√	√	ADP
ejpam-6624	101	11	−φ	−φ	NOUN
ejpam-6624	101	12	2	2	NUM
ejpam-6624	101	13	β	β	X
ejpam-6624	101	14	)	)	PUNCT
ejpam-6624	101	15	)	)	PUNCT
ejpam-6624	101	16	,	,	PUNCT
ejpam-6624	101	17	(	(	PUNCT
ejpam-6624	101	18	25	25	NUM
ejpam-6624	101	19	)	)	PUNCT
ejpam-6624	101	20	h14(β	h14(β	NOUN
ejpam-6624	101	21	)	)	PUNCT
ejpam-6624	101	22	=	=	SYM
ejpam-6624	102	1	−	−	PROPN
ejpam-6624	102	2	1	1	NUM
ejpam-6624	102	3	2k	2k	NOUN
ejpam-6624	102	4	(	(	PUNCT
ejpam-6624	102	5	s+	s+	ADV
ejpam-6624	102	6	√	√	VERB
ejpam-6624	102	7	−φ	−φ	NOUN
ejpam-6624	102	8	cot	cot	NOUN
ejpam-6624	102	9	(	(	PUNCT
ejpam-6624	102	10	√	√	ADP
ejpam-6624	102	11	−φ	−φ	NOUN
ejpam-6624	102	12	2	2	NUM
ejpam-6624	102	13	β	β	X
ejpam-6624	102	14	)	)	PUNCT
ejpam-6624	102	15	)	)	PUNCT
ejpam-6624	102	16	,	,	PUNCT
ejpam-6624	102	17	(	(	PUNCT
ejpam-6624	102	18	26	26	NUM
ejpam-6624	102	19	)	)	PUNCT
ejpam-6624	102	20	h15(β	h15(β	PROPN
ejpam-6624	102	21	)	)	PUNCT
ejpam-6624	102	22	=	=	PUNCT
ejpam-6624	103	1	−	−	PROPN
ejpam-6624	103	2	1	1	NUM
ejpam-6624	103	3	2k	2k	NOUN
ejpam-6624	103	4	(	(	PUNCT
ejpam-6624	103	5	s−	s−	PROPN
ejpam-6624	103	6	√	√	VERB
ejpam-6624	103	7	−φ	−φ	NOUN
ejpam-6624	103	8	(	(	PUNCT
ejpam-6624	103	9	tan	tan	PROPN
ejpam-6624	103	10	(	(	PUNCT
ejpam-6624	103	11	√	√	PROPN
ejpam-6624	103	12	−φβ	−φβ	ADV
ejpam-6624	103	13	)	)	PUNCT
ejpam-6624	103	14	±	±	PROPN
ejpam-6624	103	15	sec	sec	PROPN
ejpam-6624	103	16	(	(	PUNCT
ejpam-6624	103	17	√	√	NOUN
ejpam-6624	103	18	−φβ	−φβ	NUM
ejpam-6624	103	19	)	)	PUNCT
ejpam-6624	103	20	)	)	PUNCT
ejpam-6624	103	21	)	)	PUNCT
ejpam-6624	103	22	,	,	PUNCT
ejpam-6624	103	23	(	(	PUNCT
ejpam-6624	103	24	27	27	NUM
ejpam-6624	103	25	)	)	PUNCT
ejpam-6624	103	26	h16(β	h16(β	ADJ
ejpam-6624	103	27	)	)	PUNCT
ejpam-6624	103	28	=	=	SYM
ejpam-6624	104	1	−	−	PROPN
ejpam-6624	104	2	1	1	NUM
ejpam-6624	104	3	2k	2k	NOUN
ejpam-6624	104	4	(	(	PUNCT
ejpam-6624	104	5	s+	s+	ADV
ejpam-6624	104	6	√	√	VERB
ejpam-6624	104	7	−φ	−φ	NOUN
ejpam-6624	104	8	(	(	PUNCT
ejpam-6624	104	9	cot	cot	NOUN
ejpam-6624	104	10	(	(	PUNCT
ejpam-6624	104	11	√	√	NOUN
ejpam-6624	104	12	−φβ	−φβ	ADV
ejpam-6624	104	13	)	)	PUNCT
ejpam-6624	104	14	±	±	PROPN
ejpam-6624	105	1	csc	csc	PROPN
ejpam-6624	105	2	(	(	PUNCT
ejpam-6624	105	3	√	√	PROPN
ejpam-6624	105	4	−φβ	−φβ	NUM
ejpam-6624	105	5	)	)	PUNCT
ejpam-6624	105	6	)	)	PUNCT
ejpam-6624	105	7	)	)	PUNCT
ejpam-6624	105	8	,	,	PUNCT
ejpam-6624	105	9	(	(	PUNCT
ejpam-6624	105	10	28	28	NUM
ejpam-6624	105	11	)	)	PUNCT
ejpam-6624	105	12	h17(β	h17(β	NOUN
ejpam-6624	105	13	)	)	PUNCT
ejpam-6624	105	14	=	=	SYM
ejpam-6624	106	1	−	−	PROPN
ejpam-6624	106	2	1	1	NUM
ejpam-6624	106	3	4k	4k	NOUN
ejpam-6624	106	4	(	(	PUNCT
ejpam-6624	106	5	2s−	2s−	NUM
ejpam-6624	106	6	√	√	NOUN
ejpam-6624	106	7	−φ	−φ	NOUN
ejpam-6624	106	8	(	(	PUNCT
ejpam-6624	106	9	tan	tan	PROPN
ejpam-6624	106	10	(	(	PUNCT
ejpam-6624	106	11	√	√	PROPN
ejpam-6624	106	12	−φ	−φ	NOUN
ejpam-6624	106	13	4	4	NUM
ejpam-6624	106	14	β	β	NOUN
ejpam-6624	106	15	)	)	PUNCT
ejpam-6624	106	16	−	−	PROPN
ejpam-6624	106	17	cot	cot	NOUN
ejpam-6624	106	18	(	(	PUNCT
ejpam-6624	106	19	√	√	VERB
ejpam-6624	106	20	−φ	−φ	NOUN
ejpam-6624	106	21	4	4	NUM
ejpam-6624	106	22	β	β	NOUN
ejpam-6624	106	23	)	)	PUNCT
ejpam-6624	106	24	)	)	PUNCT
ejpam-6624	106	25	)	)	PUNCT
ejpam-6624	106	26	,	,	PUNCT
ejpam-6624	106	27	(	(	PUNCT
ejpam-6624	106	28	29	29	NUM
ejpam-6624	106	29	)	)	PUNCT
ejpam-6624	106	30	h18(β	h18(β	NOUN
ejpam-6624	106	31	)	)	PUNCT
ejpam-6624	106	32	=	=	SYM
ejpam-6624	107	1	−	−	PROPN
ejpam-6624	107	2	1	1	NUM
ejpam-6624	107	3	2k	2k	NOUN
ejpam-6624	107	4	(	(	PUNCT
ejpam-6624	107	5	s−	s−	PROPN
ejpam-6624	107	6	±	±	PROPN
ejpam-6624	107	7	√	√	PROPN
ejpam-6624	107	8	−φ(µ2	−φ(µ2	PROPN
ejpam-6624	107	9	−	−	PROPN
ejpam-6624	107	10	σ2)−	σ2)−	PROPN
ejpam-6624	107	11	µ	µ	X
ejpam-6624	107	12	√	√	PROPN
ejpam-6624	107	13	−φ	−φ	PROPN
ejpam-6624	107	14	cos	cos	PROPN
ejpam-6624	107	15	(	(	PUNCT
ejpam-6624	107	16	√	√	NUM
ejpam-6624	107	17	−φβ	−φβ	NUM
ejpam-6624	107	18	)	)	PUNCT
ejpam-6624	107	19	µ	µ	X
ejpam-6624	107	20	sin	sin	NOUN
ejpam-6624	107	21	(	(	PUNCT
ejpam-6624	107	22	√	√	NUM
ejpam-6624	107	23	−φβ	−φβ	NUM
ejpam-6624	107	24	)	)	PUNCT
ejpam-6624	108	1	+	+	NUM
ejpam-6624	108	2	σ	σ	NOUN
ejpam-6624	108	3	)	)	PUNCT
ejpam-6624	108	4	,	,	PUNCT
ejpam-6624	108	5	(	(	PUNCT
ejpam-6624	108	6	30	30	NUM
ejpam-6624	108	7	)	)	PUNCT
ejpam-6624	108	8	h19(β	h19(β	NOUN
ejpam-6624	108	9	)	)	PUNCT
ejpam-6624	108	10	=	=	SYM
ejpam-6624	109	1	−	−	PROPN
ejpam-6624	109	2	1	1	NUM
ejpam-6624	109	3	2k	2k	NOUN
ejpam-6624	109	4	(	(	PUNCT
ejpam-6624	109	5	s+	s+	NUM
ejpam-6624	109	6	±	±	NUM
ejpam-6624	109	7	√	√	PROPN
ejpam-6624	109	8	−φ(µ2	−φ(µ2	PROPN
ejpam-6624	109	9	−	−	PROPN
ejpam-6624	109	10	σ2	σ2	PROPN
ejpam-6624	109	11	)	)	PUNCT
ejpam-6624	109	12	+	+	NUM
ejpam-6624	109	13	µ	µ	X
ejpam-6624	109	14	√	√	NUM
ejpam-6624	109	15	−φ	−φ	NOUN
ejpam-6624	109	16	sin	sin	NOUN
ejpam-6624	109	17	(	(	PUNCT
ejpam-6624	109	18	√	√	NUM
ejpam-6624	109	19	−φβ	−φβ	NUM
ejpam-6624	109	20	)	)	PUNCT
ejpam-6624	109	21	µ	µ	X
ejpam-6624	109	22	cos	cos	X
ejpam-6624	109	23	(	(	PUNCT
ejpam-6624	109	24	√	√	PROPN
ejpam-6624	109	25	−φβ	−φβ	NUM
ejpam-6624	109	26	)	)	PUNCT
ejpam-6624	110	1	+	+	NUM
ejpam-6624	110	2	σ	σ	NOUN
ejpam-6624	110	3	)	)	PUNCT
ejpam-6624	110	4	,	,	PUNCT
ejpam-6624	110	5	(	(	PUNCT
ejpam-6624	110	6	31	31	NUM
ejpam-6624	110	7	)	)	PUNCT
ejpam-6624	110	8	where	where	SCONJ
ejpam-6624	110	9	µ	µ	NOUN
ejpam-6624	110	10	and	and	CCONJ
ejpam-6624	110	11	σ	σ	PROPN
ejpam-6624	110	12	are	be	AUX
ejpam-6624	110	13	two	two	NUM
ejpam-6624	110	14	real	real	ADJ
ejpam-6624	110	15	constants	constant	NOUN
ejpam-6624	110	16	that	that	PRON
ejpam-6624	110	17	are	be	AUX
ejpam-6624	110	18	not	not	PART
ejpam-6624	110	19	zero	zero	NUM
ejpam-6624	110	20	,	,	PUNCT
ejpam-6624	110	21	and	and	CCONJ
ejpam-6624	110	22	they	they	PRON
ejpam-6624	110	23	meet	meet	VERB
ejpam-6624	110	24	the	the	DET
ejpam-6624	110	25	condition	condition	NOUN
ejpam-6624	110	26	that	that	PRON
ejpam-6624	110	27	µ2	µ2	PROPN
ejpam-6624	110	28	−	−	PROPN
ejpam-6624	110	29	σ2	σ2	PROPN
ejpam-6624	110	30	>	>	X
ejpam-6624	110	31	0	0	X
ejpam-6624	110	32	.	.	PUNCT
ejpam-6624	111	1	h20(β	h20(β	VERB
ejpam-6624	111	2	)	)	PUNCT
ejpam-6624	112	1	=	=	SYM
ejpam-6624	112	2	−2r	−2r	PROPN
ejpam-6624	112	3	cos	cos	PROPN
ejpam-6624	112	4	(	(	PUNCT
ejpam-6624	112	5	√	√	PROPN
ejpam-6624	112	6	−φ	−φ	NOUN
ejpam-6624	112	7	2	2	NUM
ejpam-6624	112	8	β	β	X
ejpam-6624	112	9	)	)	PUNCT
ejpam-6624	112	10	√	√	VERB
ejpam-6624	112	11	−φ	−φ	NOUN
ejpam-6624	112	12	sin	sin	NOUN
ejpam-6624	112	13	(	(	PUNCT
ejpam-6624	112	14	√	√	ADP
ejpam-6624	112	15	−φ	−φ	NOUN
ejpam-6624	112	16	2	2	NUM
ejpam-6624	112	17	β	β	X
ejpam-6624	112	18	)	)	PUNCT
ejpam-6624	113	1	+	+	CCONJ
ejpam-6624	113	2	s	s	VERB
ejpam-6624	113	3	cos	cos	NOUN
ejpam-6624	113	4	(	(	PUNCT
ejpam-6624	113	5	√	√	ADP
ejpam-6624	113	6	−φ	−φ	NOUN
ejpam-6624	113	7	2	2	NUM
ejpam-6624	113	8	β	β	X
ejpam-6624	113	9	)	)	PUNCT
ejpam-6624	113	10	,	,	PUNCT
ejpam-6624	113	11	(	(	PUNCT
ejpam-6624	113	12	32	32	NUM
ejpam-6624	113	13	)	)	PUNCT
ejpam-6624	113	14	h21(β	h21(β	NOUN
ejpam-6624	113	15	)	)	PUNCT
ejpam-6624	113	16	=	=	SYM
ejpam-6624	113	17	2r	2r	NUM
ejpam-6624	113	18	sin	sin	NOUN
ejpam-6624	113	19	(	(	PUNCT
ejpam-6624	113	20	√	√	ADP
ejpam-6624	113	21	−φ	−φ	NOUN
ejpam-6624	113	22	2	2	NUM
ejpam-6624	113	23	β	β	NOUN
ejpam-6624	113	24	)	)	PUNCT
ejpam-6624	113	25	−s	−s	NOUN
ejpam-6624	113	26	sin	sin	NOUN
ejpam-6624	113	27	(	(	PUNCT
ejpam-6624	113	28	√	√	ADP
ejpam-6624	113	29	−φ	−φ	NOUN
ejpam-6624	113	30	2	2	NUM
ejpam-6624	113	31	β	β	X
ejpam-6624	113	32	)	)	PUNCT
ejpam-6624	114	1	+	+	CCONJ
ejpam-6624	114	2	√	√	ADP
ejpam-6624	114	3	−φ	−φ	NOUN
ejpam-6624	114	4	cos	cos	PROPN
ejpam-6624	114	5	(	(	PUNCT
ejpam-6624	114	6	√	√	ADP
ejpam-6624	114	7	−φ	−φ	NOUN
ejpam-6624	114	8	2	2	NUM
ejpam-6624	114	9	β	β	X
ejpam-6624	114	10	)	)	PUNCT
ejpam-6624	114	11	,	,	PUNCT
ejpam-6624	114	12	(	(	PUNCT
ejpam-6624	114	13	33	33	NUM
ejpam-6624	114	14	)	)	PUNCT
ejpam-6624	114	15	h22(β	h22(β	NOUN
ejpam-6624	114	16	)	)	PUNCT
ejpam-6624	115	1	=	=	PUNCT
ejpam-6624	116	1	−2r	−2r	PROPN
ejpam-6624	116	2	cos	cos	ADP
ejpam-6624	116	3	(	(	PUNCT
ejpam-6624	116	4	√	√	NUM
ejpam-6624	116	5	−φβ)√	−φβ)√	NOUN
ejpam-6624	116	6	−φ	−φ	NOUN
ejpam-6624	116	7	sin	sin	NOUN
ejpam-6624	116	8	(	(	PUNCT
ejpam-6624	116	9	√	√	NUM
ejpam-6624	116	10	−φβ	−φβ	NUM
ejpam-6624	116	11	)	)	PUNCT
ejpam-6624	117	1	+	+	PRON
ejpam-6624	117	2	s	s	VERB
ejpam-6624	117	3	cos	cos	NOUN
ejpam-6624	117	4	(	(	PUNCT
ejpam-6624	117	5	√	√	ADP
ejpam-6624	117	6	−φβ)±	−φβ)±	PRON
ejpam-6624	117	7	√	√	PROPN
ejpam-6624	117	8	−φ	−φ	NOUN
ejpam-6624	117	9	,	,	PUNCT
ejpam-6624	117	10	(	(	PUNCT
ejpam-6624	117	11	34	34	NUM
ejpam-6624	117	12	)	)	PUNCT
ejpam-6624	117	13	h23(β	h23(β	NOUN
ejpam-6624	117	14	)	)	PUNCT
ejpam-6624	117	15	=	=	SYM
ejpam-6624	117	16	2r	2r	NUM
ejpam-6624	117	17	sin	sin	NOUN
ejpam-6624	117	18	(	(	PUNCT
ejpam-6624	117	19	√	√	NUM
ejpam-6624	117	20	−φβ	−φβ	NUM
ejpam-6624	117	21	)	)	PUNCT
ejpam-6624	117	22	−s	−s	NOUN
ejpam-6624	117	23	sin	sin	NOUN
ejpam-6624	117	24	(	(	PUNCT
ejpam-6624	117	25	√	√	NUM
ejpam-6624	117	26	−φβ	−φβ	NUM
ejpam-6624	117	27	)	)	PUNCT
ejpam-6624	118	1	+	+	CCONJ
ejpam-6624	118	2	√	√	ADP
ejpam-6624	118	3	−φ	−φ	NOUN
ejpam-6624	118	4	cos	cos	PROPN
ejpam-6624	118	5	(	(	PUNCT
ejpam-6624	118	6	√	√	VERB
ejpam-6624	118	7	−φβ)±	−φβ)±	PRON
ejpam-6624	118	8	√	√	PROPN
ejpam-6624	118	9	−φ	−φ	NOUN
ejpam-6624	118	10	,	,	PUNCT
ejpam-6624	118	11	(	(	PUNCT
ejpam-6624	118	12	35	35	NUM
ejpam-6624	118	13	)	)	PUNCT
ejpam-6624	118	14	s.	s.	PROPN
ejpam-6624	118	15	phoosree	phoosree	INTJ
ejpam-6624	118	16	et	et	PROPN
ejpam-6624	118	17	al	al	PROPN
ejpam-6624	118	18	.	.	PUNCT
ejpam-6624	118	19	/	/	SYM
ejpam-6624	118	20	eur	eur	PROPN
ejpam-6624	118	21	.	.	PUNCT
ejpam-6624	119	1	j.	j.	PROPN
ejpam-6624	119	2	pure	pure	PROPN
ejpam-6624	119	3	appl	appl	PROPN
ejpam-6624	119	4	.	.	PROPN
ejpam-6624	119	5	math	math	PROPN
ejpam-6624	119	6	,	,	PUNCT
ejpam-6624	119	7	18	18	NUM
ejpam-6624	119	8	(	(	PUNCT
ejpam-6624	119	9	4	4	NUM
ejpam-6624	119	10	)	)	PUNCT
ejpam-6624	119	11	(	(	PUNCT
ejpam-6624	119	12	2025	2025	NUM
ejpam-6624	119	13	)	)	PUNCT
ejpam-6624	119	14	,	,	PUNCT
ejpam-6624	119	15	6624	6624	NUM
ejpam-6624	119	16	7	7	NUM
ejpam-6624	119	17	of	of	ADP
ejpam-6624	119	18	24	24	NUM
ejpam-6624	119	19	h24(β	h24(β	NOUN
ejpam-6624	119	20	)	)	PUNCT
ejpam-6624	120	1	=	=	SYM
ejpam-6624	120	2	4r	4r	NUM
ejpam-6624	120	3	sin	sin	NOUN
ejpam-6624	120	4	(	(	PUNCT
ejpam-6624	120	5	√	√	ADP
ejpam-6624	120	6	−φ	−φ	NOUN
ejpam-6624	120	7	4	4	NUM
ejpam-6624	120	8	β	β	NOUN
ejpam-6624	120	9	)	)	PUNCT
ejpam-6624	120	10	cos	cos	PROPN
ejpam-6624	120	11	(	(	PUNCT
ejpam-6624	120	12	√	√	ADP
ejpam-6624	120	13	−φ	−φ	NOUN
ejpam-6624	120	14	4	4	NUM
ejpam-6624	120	15	β	β	NOUN
ejpam-6624	120	16	)	)	PUNCT
ejpam-6624	121	1	−2s	−2s	PROPN
ejpam-6624	121	2	sin	sin	NOUN
ejpam-6624	121	3	(	(	PUNCT
ejpam-6624	121	4	√	√	VERB
ejpam-6624	121	5	−φ	−φ	NOUN
ejpam-6624	121	6	4	4	NUM
ejpam-6624	121	7	β	β	NOUN
ejpam-6624	121	8	)	)	PUNCT
ejpam-6624	121	9	cos	cos	PROPN
ejpam-6624	121	10	(	(	PUNCT
ejpam-6624	121	11	√	√	ADP
ejpam-6624	121	12	−φ	−φ	NOUN
ejpam-6624	121	13	4	4	NUM
ejpam-6624	121	14	β	β	NOUN
ejpam-6624	121	15	)	)	PUNCT
ejpam-6624	122	1	+	+	CCONJ
ejpam-6624	122	2	2	2	NUM
ejpam-6624	122	3	√	√	NUM
ejpam-6624	122	4	−φ	−φ	NOUN
ejpam-6624	122	5	cos2	cos2	NOUN
ejpam-6624	122	6	(	(	PUNCT
ejpam-6624	122	7	√	√	ADP
ejpam-6624	122	8	−φ	−φ	NOUN
ejpam-6624	122	9	4	4	NUM
ejpam-6624	122	10	β	β	NOUN
ejpam-6624	122	11	)	)	PUNCT
ejpam-6624	123	1	−	−	ADP
ejpam-6624	123	2	√	√	INTJ
ejpam-6624	124	1	−φ	−φ	NOUN
ejpam-6624	124	2	,	,	PUNCT
ejpam-6624	124	3	(	(	PUNCT
ejpam-6624	124	4	36	36	NUM
ejpam-6624	124	5	)	)	PUNCT
ejpam-6624	124	6	type	type	NOUN
ejpam-6624	124	7	iii	iii	NOUN
ejpam-6624	124	8	:	:	PUNCT
ejpam-6624	124	9	when	when	SCONJ
ejpam-6624	124	10	r	r	NOUN
ejpam-6624	124	11	=	=	SYM
ejpam-6624	124	12	0	0	NUM
ejpam-6624	124	13	and	and	CCONJ
ejpam-6624	124	14	sk	sk	ADP
ejpam-6624	124	15	̸=	̸=	PROPN
ejpam-6624	124	16	0	0	NUM
ejpam-6624	124	17	,	,	PUNCT
ejpam-6624	124	18	we	we	PRON
ejpam-6624	124	19	get	get	VERB
ejpam-6624	124	20	h25(β	h25(β	ADJ
ejpam-6624	124	21	)	)	PUNCT
ejpam-6624	125	1	=	=	SYM
ejpam-6624	125	2	−sψ	−sψ	ADJ
ejpam-6624	125	3	k(ψ	k(ψ	PROPN
ejpam-6624	125	4	+	+	PROPN
ejpam-6624	125	5	cosh(sβ)−	cosh(sβ)−	PROPN
ejpam-6624	125	6	sinh(sβ	sinh(sβ	NOUN
ejpam-6624	125	7	)	)	PUNCT
ejpam-6624	125	8	)	)	PUNCT
ejpam-6624	125	9	,	,	PUNCT
ejpam-6624	125	10	(	(	PUNCT
ejpam-6624	125	11	37	37	NUM
ejpam-6624	125	12	)	)	PUNCT
ejpam-6624	125	13	h26(β	h26(β	NOUN
ejpam-6624	125	14	)	)	PUNCT
ejpam-6624	125	15	=	=	SYM
ejpam-6624	125	16	−s(cosh(sβ	−s(cosh(sβ	NOUN
ejpam-6624	125	17	)	)	PUNCT
ejpam-6624	126	1	+	+	CCONJ
ejpam-6624	126	2	sinh(sβ	sinh(sβ	NOUN
ejpam-6624	126	3	)	)	PUNCT
ejpam-6624	126	4	)	)	PUNCT
ejpam-6624	127	1	k(ψ	k(ψ	PROPN
ejpam-6624	127	2	+	+	PROPN
ejpam-6624	127	3	cosh(sβ)−	cosh(sβ)−	PROPN
ejpam-6624	127	4	sinh(sβ	sinh(sβ	NOUN
ejpam-6624	127	5	)	)	PUNCT
ejpam-6624	127	6	)	)	PUNCT
ejpam-6624	127	7	,	,	PUNCT
ejpam-6624	127	8	(	(	PUNCT
ejpam-6624	127	9	38	38	NUM
ejpam-6624	127	10	)	)	PUNCT
ejpam-6624	127	11	for	for	ADP
ejpam-6624	127	12	any	any	DET
ejpam-6624	127	13	constant	constant	ADJ
ejpam-6624	127	14	ψ	ψ	NOUN
ejpam-6624	127	15	that	that	PRON
ejpam-6624	127	16	is	be	AUX
ejpam-6624	127	17	arbitrary	arbitrary	ADJ
ejpam-6624	127	18	.	.	PUNCT
ejpam-6624	128	1	type	type	NOUN
ejpam-6624	128	2	iv	iv	NOUN
ejpam-6624	128	3	:	:	PUNCT
ejpam-6624	128	4	when	when	SCONJ
ejpam-6624	128	5	r	r	NOUN
ejpam-6624	128	6	=	=	SYM
ejpam-6624	128	7	s	s	NOUN
ejpam-6624	128	8	=	=	NOUN
ejpam-6624	128	9	0	0	PROPN
ejpam-6624	128	10	and	and	CCONJ
ejpam-6624	128	11	k	k	PROPN
ejpam-6624	128	12	̸=	̸=	PROPN
ejpam-6624	128	13	0	0	NUM
ejpam-6624	128	14	,	,	PUNCT
ejpam-6624	128	15	we	we	PRON
ejpam-6624	128	16	get	get	VERB
ejpam-6624	128	17	h27(β	h27(β	NOUN
ejpam-6624	128	18	)	)	PUNCT
ejpam-6624	129	1	=	=	SYM
ejpam-6624	130	1	−	−	PROPN
ejpam-6624	130	2	1	1	NUM
ejpam-6624	130	3	kβ	kβ	NOUN
ejpam-6624	130	4	+	+	X
ejpam-6624	130	5	ζ	ζ	NOUN
ejpam-6624	130	6	.	.	PUNCT
ejpam-6624	131	1	(	(	PUNCT
ejpam-6624	131	2	39	39	NUM
ejpam-6624	131	3	)	)	PUNCT
ejpam-6624	131	4	in	in	ADP
ejpam-6624	131	5	this	this	DET
ejpam-6624	131	6	case	case	NOUN
ejpam-6624	131	7	,	,	PUNCT
ejpam-6624	131	8	ζ	ζ	NOUN
ejpam-6624	131	9	is	be	AUX
ejpam-6624	131	10	a	a	DET
ejpam-6624	131	11	constant	constant	ADJ
ejpam-6624	131	12	that	that	PRON
ejpam-6624	131	13	may	may	AUX
ejpam-6624	131	14	be	be	AUX
ejpam-6624	131	15	selected	select	VERB
ejpam-6624	131	16	with	with	ADP
ejpam-6624	131	17	no	no	DET
ejpam-6624	131	18	limitations	limitation	NOUN
ejpam-6624	131	19	.	.	PUNCT
ejpam-6624	132	1	step	step	NOUN
ejpam-6624	132	2	3	3	NUM
ejpam-6624	132	3	.	.	PUNCT
ejpam-6624	133	1	determining	determine	VERB
ejpam-6624	133	2	the	the	DET
ejpam-6624	133	3	integer	integer	NOUN
ejpam-6624	133	4	for	for	ADP
ejpam-6624	133	5	the	the	DET
ejpam-6624	133	6	purpose	purpose	NOUN
ejpam-6624	133	7	of	of	ADP
ejpam-6624	133	8	obtaining	obtain	VERB
ejpam-6624	133	9	the	the	DET
ejpam-6624	133	10	number	number	NOUN
ejpam-6624	133	11	n	n	NOUN
ejpam-6624	133	12	in	in	ADP
ejpam-6624	133	13	equation	equation	NOUN
ejpam-6624	133	14	(	(	PUNCT
ejpam-6624	133	15	11	11	NUM
ejpam-6624	133	16	)	)	PUNCT
ejpam-6624	133	17	,	,	PUNCT
ejpam-6624	133	18	it	it	PRON
ejpam-6624	133	19	is	be	AUX
ejpam-6624	133	20	necessary	necessary	ADJ
ejpam-6624	133	21	to	to	PART
ejpam-6624	133	22	achieve	achieve	VERB
ejpam-6624	133	23	a	a	DET
ejpam-6624	133	24	balance	balance	NOUN
ejpam-6624	133	25	between	between	ADP
ejpam-6624	133	26	the	the	DET
ejpam-6624	133	27	highest	high	ADJ
ejpam-6624	133	28	-	-	PUNCT
ejpam-6624	133	29	order	order	NOUN
ejpam-6624	133	30	derivative	derivative	NOUN
ejpam-6624	133	31	and	and	CCONJ
ejpam-6624	133	32	the	the	DET
ejpam-6624	133	33	nonlinear	nonlinear	ADJ
ejpam-6624	133	34	parts	part	NOUN
ejpam-6624	133	35	.	.	PUNCT
ejpam-6624	134	1	step	step	NOUN
ejpam-6624	134	2	4	4	NUM
ejpam-6624	134	3	.	.	PUNCT
ejpam-6624	135	1	obtaining	obtain	VERB
ejpam-6624	135	2	the	the	DET
ejpam-6624	135	3	solutions	solution	NOUN
ejpam-6624	135	4	the	the	DET
ejpam-6624	135	5	parameters	parameter	NOUN
ejpam-6624	135	6	ρi	ρi	PROPN
ejpam-6624	135	7	,	,	PUNCT
ejpam-6624	135	8	(	(	PUNCT
ejpam-6624	135	9	i	i	NOUN
ejpam-6624	135	10	=	=	NOUN
ejpam-6624	135	11	0	0	NUM
ejpam-6624	135	12	,	,	PUNCT
ejpam-6624	135	13	1	1	NUM
ejpam-6624	135	14	,	,	PUNCT
ejpam-6624	135	15	2	2	NUM
ejpam-6624	135	16	,	,	PUNCT
ejpam-6624	135	17	3	3	NUM
ejpam-6624	135	18	,	,	PUNCT
ejpam-6624	135	19	.	.	PUNCT
ejpam-6624	135	20	.	.	PUNCT
ejpam-6624	136	1	.	.	PUNCT
ejpam-6624	136	2	,	,	PUNCT
ejpam-6624	137	1	n	n	CCONJ
ejpam-6624	137	2	)	)	PUNCT
ejpam-6624	138	1	and	and	CCONJ
ejpam-6624	138	2	c	c	NOUN
ejpam-6624	138	3	can	can	AUX
ejpam-6624	138	4	be	be	AUX
ejpam-6624	138	5	determined	determine	VERB
ejpam-6624	138	6	by	by	ADP
ejpam-6624	138	7	first	first	ADV
ejpam-6624	138	8	gathering	gather	VERB
ejpam-6624	138	9	the	the	DET
ejpam-6624	138	10	coefficients	coefficient	NOUN
ejpam-6624	138	11	of	of	ADP
ejpam-6624	138	12	all	all	DET
ejpam-6624	138	13	terms	term	NOUN
ejpam-6624	138	14	that	that	PRON
ejpam-6624	138	15	have	have	VERB
ejpam-6624	138	16	the	the	DET
ejpam-6624	138	17	same	same	ADJ
ejpam-6624	138	18	order	order	NOUN
ejpam-6624	138	19	of	of	ADP
ejpam-6624	138	20	h	h	NOUN
ejpam-6624	138	21	i	i	PROPN
ejpam-6624	138	22	,	,	PUNCT
ejpam-6624	138	23	(	(	PUNCT
ejpam-6624	138	24	j	j	PROPN
ejpam-6624	138	25	=	=	SYM
ejpam-6624	138	26	0	0	NUM
ejpam-6624	138	27	,	,	PUNCT
ejpam-6624	138	28	1	1	NUM
ejpam-6624	138	29	,	,	PUNCT
ejpam-6624	138	30	2	2	NUM
ejpam-6624	138	31	,	,	PUNCT
ejpam-6624	138	32	3	3	NUM
ejpam-6624	138	33	,	,	PUNCT
ejpam-6624	138	34	.	.	PUNCT
ejpam-6624	138	35	.	.	PUNCT
ejpam-6624	139	1	.	.	PUNCT
ejpam-6624	139	2	)	)	PUNCT
ejpam-6624	140	1	and	and	CCONJ
ejpam-6624	140	2	then	then	ADV
ejpam-6624	140	3	setting	set	VERB
ejpam-6624	140	4	those	those	DET
ejpam-6624	140	5	coefficients	coefficient	NOUN
ejpam-6624	140	6	to	to	ADP
ejpam-6624	140	7	zero	zero	NUM
ejpam-6624	140	8	.	.	PUNCT
ejpam-6624	141	1	therefore	therefore	ADV
ejpam-6624	141	2	,	,	PUNCT
ejpam-6624	141	3	we	we	PRON
ejpam-6624	141	4	are	be	AUX
ejpam-6624	141	5	the	the	DET
ejpam-6624	141	6	analytical	analytical	ADJ
ejpam-6624	141	7	answers	answer	NOUN
ejpam-6624	141	8	to	to	ADP
ejpam-6624	141	9	equation	equation	NOUN
ejpam-6624	141	10	(	(	PUNCT
ejpam-6624	141	11	10	10	NUM
ejpam-6624	141	12	)	)	PUNCT
ejpam-6624	141	13	,	,	PUNCT
ejpam-6624	141	14	which	which	PRON
ejpam-6624	141	15	we	we	PRON
ejpam-6624	141	16	have	have	AUX
ejpam-6624	141	17	constructed	construct	VERB
ejpam-6624	141	18	.	.	PUNCT
ejpam-6624	142	1	s.	s.	PROPN
ejpam-6624	142	2	phoosree	phoosree	INTJ
ejpam-6624	142	3	et	et	PROPN
ejpam-6624	142	4	al	al	PROPN
ejpam-6624	142	5	.	.	PUNCT
ejpam-6624	142	6	/	/	SYM
ejpam-6624	142	7	eur	eur	PROPN
ejpam-6624	142	8	.	.	PUNCT
ejpam-6624	143	1	j.	j.	PROPN
ejpam-6624	143	2	pure	pure	PROPN
ejpam-6624	143	3	appl	appl	PROPN
ejpam-6624	143	4	.	.	PROPN
ejpam-6624	143	5	math	math	PROPN
ejpam-6624	143	6	,	,	PUNCT
ejpam-6624	143	7	18	18	NUM
ejpam-6624	143	8	(	(	PUNCT
ejpam-6624	143	9	4	4	NUM
ejpam-6624	143	10	)	)	PUNCT
ejpam-6624	143	11	(	(	PUNCT
ejpam-6624	143	12	2025	2025	NUM
ejpam-6624	143	13	)	)	PUNCT
ejpam-6624	143	14	,	,	PUNCT
ejpam-6624	143	15	6624	6624	NUM
ejpam-6624	143	16	8	8	NUM
ejpam-6624	143	17	of	of	ADP
ejpam-6624	143	18	24	24	NUM
ejpam-6624	143	19	list	list	NOUN
ejpam-6624	143	20	of	of	ADP
ejpam-6624	143	21	symbols	symbol	NOUN
ejpam-6624	143	22	u(x	u(x	PROPN
ejpam-6624	143	23	,	,	PUNCT
ejpam-6624	143	24	y	y	PROPN
ejpam-6624	143	25	,	,	PUNCT
ejpam-6624	143	26	t	t	PROPN
ejpam-6624	143	27	)	)	PUNCT
ejpam-6624	143	28	dependent	dependent	ADJ
ejpam-6624	143	29	variable	variable	NOUN
ejpam-6624	143	30	(	(	PUNCT
ejpam-6624	143	31	wave	wave	NOUN
ejpam-6624	143	32	function	function	NOUN
ejpam-6624	143	33	or	or	CCONJ
ejpam-6624	143	34	solution	solution	NOUN
ejpam-6624	143	35	)	)	PUNCT
ejpam-6624	143	36	.	.	PUNCT
ejpam-6624	144	1	x	x	X
ejpam-6624	144	2	,	,	PUNCT
ejpam-6624	144	3	y	y	PROPN
ejpam-6624	144	4	,	,	PUNCT
ejpam-6624	144	5	t	t	PROPN
ejpam-6624	144	6	independent	independent	ADJ
ejpam-6624	144	7	spatial	spatial	ADJ
ejpam-6624	144	8	and	and	CCONJ
ejpam-6624	144	9	temporal	temporal	ADJ
ejpam-6624	144	10	variables	variable	NOUN
ejpam-6624	144	11	.	.	PUNCT
ejpam-6624	145	1	α	α	DET
ejpam-6624	145	2	fractional	fractional	ADJ
ejpam-6624	145	3	order	order	NOUN
ejpam-6624	145	4	parameter	parameter	NOUN
ejpam-6624	145	5	,	,	PUNCT
ejpam-6624	145	6	0	0	PUNCT
ejpam-6624	145	7	<	<	X
ejpam-6624	145	8	α	α	PROPN
ejpam-6624	145	9	≤	≤	NUM
ejpam-6624	145	10	1	1	NUM
ejpam-6624	145	11	.	.	PUNCT
ejpam-6624	146	1	γ	γ	X
ejpam-6624	146	2	(	(	PUNCT
ejpam-6624	146	3	·	·	PUNCT
ejpam-6624	146	4	)	)	PUNCT
ejpam-6624	146	5	gamma	gamma	NOUN
ejpam-6624	146	6	function	function	NOUN
ejpam-6624	146	7	.	.	PUNCT
ejpam-6624	147	1	dα	dα	ADJ
ejpam-6624	147	2	x	x	NOUN
ejpam-6624	147	3	,	,	PUNCT
ejpam-6624	147	4	d	d	PROPN
ejpam-6624	147	5	α	α	NOUN
ejpam-6624	147	6	t	t	NOUN
ejpam-6624	147	7	,	,	PUNCT
ejpam-6624	147	8	d	d	PROPN
ejpam-6624	147	9	α	α	NOUN
ejpam-6624	147	10	xx	xx	PROPN
ejpam-6624	147	11	,	,	PUNCT
ejpam-6624	147	12	d	d	PROPN
ejpam-6624	147	13	α	α	PRON
ejpam-6624	147	14	tt	tt	PROPN
ejpam-6624	147	15	,	,	PUNCT
ejpam-6624	147	16	.	.	PUNCT
ejpam-6624	147	17	.	.	PUNCT
ejpam-6624	147	18	.	.	PUNCT
ejpam-6624	148	1	jumarie	jumarie	PROPN
ejpam-6624	148	2	’s	’s	PART
ejpam-6624	148	3	modified	modify	VERB
ejpam-6624	148	4	riemann	riemann	PROPN
ejpam-6624	148	5	–	–	PUNCT
ejpam-6624	148	6	liouville	liouville	VERB
ejpam-6624	148	7	fractional	fractional	ADJ
ejpam-6624	148	8	derivatives	derivative	NOUN
ejpam-6624	148	9	with	with	ADP
ejpam-6624	148	10	respect	respect	NOUN
ejpam-6624	148	11	to	to	ADP
ejpam-6624	148	12	x	x	PUNCT
ejpam-6624	148	13	or	or	CCONJ
ejpam-6624	148	14	t.	t.	PROPN
ejpam-6624	148	15	a	a	PROPN
ejpam-6624	148	16	,	,	PUNCT
ejpam-6624	148	17	b	b	NOUN
ejpam-6624	148	18	,	,	PUNCT
ejpam-6624	148	19	c	c	PROPN
ejpam-6624	148	20	constants	constant	NOUN
ejpam-6624	148	21	in	in	ADP
ejpam-6624	148	22	the	the	DET
ejpam-6624	148	23	traveling	travel	VERB
ejpam-6624	148	24	wave	wave	NOUN
ejpam-6624	148	25	transformation	transformation	NOUN
ejpam-6624	148	26	;	;	PUNCT
ejpam-6624	148	27	c	c	PROPN
ejpam-6624	148	28	denotes	denote	NOUN
ejpam-6624	148	29	wave	wave	VERB
ejpam-6624	148	30	velocity	velocity	NOUN
ejpam-6624	148	31	.	.	PUNCT
ejpam-6624	149	1	β	β	NOUN
ejpam-6624	149	2	traveling	travel	VERB
ejpam-6624	149	3	wave	wave	NOUN
ejpam-6624	149	4	variable	variable	NOUN
ejpam-6624	149	5	defined	define	VERB
ejpam-6624	149	6	in	in	ADP
ejpam-6624	149	7	the	the	DET
ejpam-6624	149	8	transformation	transformation	NOUN
ejpam-6624	149	9	.	.	PUNCT
ejpam-6624	150	1	u(β	u(β	ADV
ejpam-6624	150	2	)	)	PUNCT
ejpam-6624	150	3	reduced	reduce	VERB
ejpam-6624	150	4	ordinary	ordinary	ADJ
ejpam-6624	150	5	differential	differential	ADJ
ejpam-6624	150	6	equation	equation	NOUN
ejpam-6624	150	7	(	(	PUNCT
ejpam-6624	150	8	ode	ode	PROPN
ejpam-6624	150	9	)	)	PUNCT
ejpam-6624	150	10	solution	solution	NOUN
ejpam-6624	150	11	of	of	ADP
ejpam-6624	150	12	u(x	u(x	NOUN
ejpam-6624	150	13	,	,	PUNCT
ejpam-6624	150	14	y	y	PROPN
ejpam-6624	150	15	,	,	PUNCT
ejpam-6624	150	16	t	t	PROPN
ejpam-6624	150	17	)	)	PUNCT
ejpam-6624	150	18	.	.	PUNCT
ejpam-6624	151	1	ρi	ρi	ADP
ejpam-6624	151	2	real	real	ADJ
ejpam-6624	151	3	coefficients	coefficient	NOUN
ejpam-6624	151	4	in	in	ADP
ejpam-6624	151	5	the	the	DET
ejpam-6624	151	6	finite	finite	PROPN
ejpam-6624	151	7	series	series	NOUN
ejpam-6624	151	8	solution	solution	NOUN
ejpam-6624	151	9	(	(	PUNCT
ejpam-6624	151	10	equation	equation	NOUN
ejpam-6624	151	11	(	(	PUNCT
ejpam-6624	151	12	11	11	NUM
ejpam-6624	151	13	)	)	PUNCT
ejpam-6624	151	14	)	)	PUNCT
ejpam-6624	151	15	.	.	PUNCT
ejpam-6624	152	1	r	r	X
ejpam-6624	152	2	,	,	PUNCT
ejpam-6624	152	3	s	s	X
ejpam-6624	152	4	,	,	PUNCT
ejpam-6624	152	5	k	k	PROPN
ejpam-6624	152	6	parameters	parameter	NOUN
ejpam-6624	152	7	in	in	ADP
ejpam-6624	152	8	the	the	DET
ejpam-6624	152	9	generalized	generalize	VERB
ejpam-6624	152	10	riccati	riccati	NOUN
ejpam-6624	152	11	equation	equation	NOUN
ejpam-6624	152	12	(	(	PUNCT
ejpam-6624	152	13	equation	equation	NOUN
ejpam-6624	152	14	(	(	PUNCT
ejpam-6624	152	15	12	12	NUM
ejpam-6624	152	16	)	)	PUNCT
ejpam-6624	152	17	)	)	PUNCT
ejpam-6624	152	18	.	.	PUNCT
ejpam-6624	153	1	ϕ	ϕ	PROPN
ejpam-6624	153	2	discriminant	discriminant	PROPN
ejpam-6624	153	3	parameter	parameter	PROPN
ejpam-6624	153	4	ϕ	ϕ	PROPN
ejpam-6624	153	5	=	=	X
ejpam-6624	153	6	s2	s2	PROPN
ejpam-6624	153	7	−	−	PROPN
ejpam-6624	153	8	4rk	4rk	NOUN
ejpam-6624	153	9	in	in	ADP
ejpam-6624	153	10	riccati	riccati	PROPN
ejpam-6624	153	11	equation	equation	NOUN
ejpam-6624	153	12	cases	case	NOUN
ejpam-6624	153	13	.	.	PUNCT
ejpam-6624	154	1	µ	µ	NUM
ejpam-6624	154	2	,	,	PUNCT
ejpam-6624	154	3	σ	σ	PROPN
ejpam-6624	154	4	auxiliary	auxiliary	ADJ
ejpam-6624	154	5	constants	constant	NOUN
ejpam-6624	154	6	for	for	ADP
ejpam-6624	154	7	special	special	ADJ
ejpam-6624	154	8	riccati	riccati	NOUN
ejpam-6624	154	9	solutions	solution	NOUN
ejpam-6624	154	10	(	(	PUNCT
ejpam-6624	154	11	types	type	NOUN
ejpam-6624	154	12	i	i	PRON
ejpam-6624	154	13	–	–	PUNCT
ejpam-6624	154	14	ii	ii	NOUN
ejpam-6624	154	15	)	)	PUNCT
ejpam-6624	154	16	.	.	PUNCT
ejpam-6624	155	1	ψ	ψ	X
ejpam-6624	155	2	,	,	PUNCT
ejpam-6624	155	3	ζ	ζ	PRON
ejpam-6624	155	4	arbitrary	arbitrary	ADJ
ejpam-6624	155	5	constants	constant	NOUN
ejpam-6624	155	6	in	in	ADP
ejpam-6624	155	7	riccati	riccati	PROPN
ejpam-6624	155	8	solutions	solution	NOUN
ejpam-6624	155	9	(	(	PUNCT
ejpam-6624	155	10	types	type	NOUN
ejpam-6624	155	11	iii	iii	NOUN
ejpam-6624	155	12	–	–	PUNCT
ejpam-6624	155	13	iv	iv	NUM
ejpam-6624	155	14	)	)	PUNCT
ejpam-6624	155	15	.	.	PUNCT
ejpam-6624	156	1	δ	δ	PROPN
ejpam-6624	156	2	,	,	PUNCT
ejpam-6624	156	3	λ	λ	PROPN
ejpam-6624	156	4	nonzero	nonzero	PROPN
ejpam-6624	156	5	physical	physical	ADJ
ejpam-6624	156	6	constants	constant	NOUN
ejpam-6624	156	7	in	in	ADP
ejpam-6624	156	8	the	the	DET
ejpam-6624	156	9	ckg	ckg	NOUN
ejpam-6624	156	10	equation	equation	NOUN
ejpam-6624	156	11	.	.	PUNCT
ejpam-6624	157	1	ξ	ξ	DET
ejpam-6624	157	2	nonzero	nonzero	X
ejpam-6624	157	3	constant	constant	ADJ
ejpam-6624	157	4	parameter	parameter	NOUN
ejpam-6624	157	5	in	in	ADP
ejpam-6624	157	6	the	the	DET
ejpam-6624	157	7	akns	akns	NOUN
ejpam-6624	157	8	equation	equation	NOUN
ejpam-6624	157	9	.	.	PUNCT
ejpam-6624	158	1	n	n	PRON
ejpam-6624	158	2	degree	degree	NOUN
ejpam-6624	158	3	of	of	ADP
ejpam-6624	158	4	finite	finite	PROPN
ejpam-6624	158	5	series	series	PROPN
ejpam-6624	158	6	expansion	expansion	NOUN
ejpam-6624	158	7	in	in	ADP
ejpam-6624	158	8	equation	equation	NOUN
ejpam-6624	158	9	(	(	PUNCT
ejpam-6624	158	10	11	11	NUM
ejpam-6624	158	11	)	)	PUNCT
ejpam-6624	158	12	.	.	PUNCT
ejpam-6624	159	1	h(β	h(β	X
ejpam-6624	159	2	)	)	PUNCT
ejpam-6624	159	3	riccati	riccati	NOUN
ejpam-6624	159	4	function	function	NOUN
ejpam-6624	159	5	satisfying	satisfy	VERB
ejpam-6624	159	6	equation	equation	NOUN
ejpam-6624	159	7	(	(	PUNCT
ejpam-6624	159	8	12	12	NUM
ejpam-6624	159	9	)	)	PUNCT
ejpam-6624	159	10	.	.	PUNCT
ejpam-6624	160	1	ui(x	ui(x	PROPN
ejpam-6624	160	2	,	,	PUNCT
ejpam-6624	160	3	y	y	PROPN
ejpam-6624	160	4	,	,	PUNCT
ejpam-6624	160	5	t	t	PROPN
ejpam-6624	160	6	)	)	PUNCT
ejpam-6624	160	7	exact	exact	ADJ
ejpam-6624	160	8	analytic	analytic	ADJ
ejpam-6624	160	9	solutions	solution	NOUN
ejpam-6624	160	10	of	of	ADP
ejpam-6624	160	11	the	the	DET
ejpam-6624	160	12	governing	govern	VERB
ejpam-6624	160	13	equations	equation	NOUN
ejpam-6624	160	14	(	(	PUNCT
ejpam-6624	160	15	i	i	NOUN
ejpam-6624	160	16	=	=	NOUN
ejpam-6624	160	17	1	1	NUM
ejpam-6624	160	18	,	,	PUNCT
ejpam-6624	160	19	.	.	PUNCT
ejpam-6624	160	20	.	.	PUNCT
ejpam-6624	161	1	.	.	PUNCT
ejpam-6624	162	1	,	,	PUNCT
ejpam-6624	162	2	27	27	NUM
ejpam-6624	162	3	)	)	PUNCT
ejpam-6624	162	4	.	.	PUNCT
ejpam-6624	163	1	3	3	X
ejpam-6624	163	2	.	.	X
ejpam-6624	163	3	applications	application	NOUN
ejpam-6624	163	4	in	in	ADP
ejpam-6624	163	5	this	this	DET
ejpam-6624	163	6	paper	paper	NOUN
ejpam-6624	163	7	,	,	PUNCT
ejpam-6624	163	8	we	we	PRON
ejpam-6624	163	9	show	show	VERB
ejpam-6624	163	10	the	the	DET
ejpam-6624	163	11	traveling	travel	VERB
ejpam-6624	163	12	wave	wave	NOUN
ejpam-6624	163	13	effects	effect	NOUN
ejpam-6624	163	14	of	of	ADP
ejpam-6624	163	15	the	the	DET
ejpam-6624	163	16	nonlinear	nonlinear	ADJ
ejpam-6624	163	17	space	space	NOUN
ejpam-6624	163	18	and	and	CCONJ
ejpam-6624	163	19	time	time	NOUN
ejpam-6624	163	20	fractional	fractional	ADJ
ejpam-6624	163	21	(	(	PUNCT
ejpam-6624	163	22	2	2	NUM
ejpam-6624	163	23	+	+	NOUN
ejpam-6624	163	24	1)-dimensional	1)-dimensional	ADJ
ejpam-6624	163	25	ckg	ckg	NOUN
ejpam-6624	163	26	equation	equation	NOUN
ejpam-6624	163	27	as	as	ADV
ejpam-6624	163	28	well	well	ADV
ejpam-6624	163	29	as	as	ADP
ejpam-6624	163	30	the	the	DET
ejpam-6624	163	31	nonlinear	nonlinear	ADJ
ejpam-6624	163	32	space	space	NOUN
ejpam-6624	163	33	and	and	CCONJ
ejpam-6624	163	34	time	time	NOUN
ejpam-6624	163	35	fractional	fractional	ADJ
ejpam-6624	163	36	(	(	PUNCT
ejpam-6624	163	37	2	2	NUM
ejpam-6624	163	38	+	+	NOUN
ejpam-6624	163	39	1)-dimensional	1)-dimensional	ADJ
ejpam-6624	163	40	akns	akns	NOUN
ejpam-6624	163	41	equation	equation	NOUN
ejpam-6624	163	42	.	.	PUNCT
ejpam-6624	164	1	3.1	3.1	NUM
ejpam-6624	164	2	.	.	PUNCT
ejpam-6624	165	1	the	the	DET
ejpam-6624	165	2	space	space	NOUN
ejpam-6624	165	3	-	-	PUNCT
ejpam-6624	165	4	time	time	NOUN
ejpam-6624	165	5	fractional	fractional	PROPN
ejpam-6624	165	6	cubic	cubic	PROPN
ejpam-6624	165	7	klein	klein	PROPN
ejpam-6624	165	8	-	-	PUNCT
ejpam-6624	165	9	gordon	gordon	PROPN
ejpam-6624	165	10	equation	equation	NOUN
ejpam-6624	165	11	the	the	DET
ejpam-6624	165	12	following	follow	VERB
ejpam-6624	165	13	statement	statement	NOUN
ejpam-6624	165	14	provides	provide	VERB
ejpam-6624	165	15	a	a	DET
ejpam-6624	165	16	definition	definition	NOUN
ejpam-6624	165	17	of	of	ADP
ejpam-6624	165	18	the	the	DET
ejpam-6624	165	19	second	second	ADJ
ejpam-6624	165	20	-	-	PUNCT
ejpam-6624	165	21	order	order	NOUN
ejpam-6624	165	22	nonlinear	nonlinear	ADJ
ejpam-6624	165	23	space	space	NOUN
ejpam-6624	165	24	-	-	PUNCT
ejpam-6624	165	25	time	time	NOUN
ejpam-6624	165	26	fractional	fractional	ADJ
ejpam-6624	165	27	ckg	ckg	NOUN
ejpam-6624	165	28	equation	equation	NOUN
ejpam-6624	165	29	:	:	PUNCT
ejpam-6624	165	30	d2α	d2α	NOUN
ejpam-6624	165	31	xxu+d2α	xxu+d2α	PROPN
ejpam-6624	165	32	yyu−d2α	yyu−d2α	NOUN
ejpam-6624	165	33	tt	tt	PROPN
ejpam-6624	165	34	u+	u+	NOUN
ejpam-6624	165	35	δu+	δu+	VERB
ejpam-6624	165	36	λu3	λu3	NOUN
ejpam-6624	165	37	=	=	SYM
ejpam-6624	165	38	0	0	NUM
ejpam-6624	165	39	,	,	PUNCT
ejpam-6624	165	40	t	t	X
ejpam-6624	165	41	>	>	X
ejpam-6624	165	42	0	0	NUM
ejpam-6624	165	43	,	,	PUNCT
ejpam-6624	165	44	0	0	NUM
ejpam-6624	165	45	<	<	X
ejpam-6624	165	46	α	α	PROPN
ejpam-6624	165	47	≤	≤	NUM
ejpam-6624	165	48	1	1	NUM
ejpam-6624	165	49	,	,	PUNCT
ejpam-6624	165	50	(	(	PUNCT
ejpam-6624	165	51	40	40	NUM
ejpam-6624	165	52	)	)	PUNCT
ejpam-6624	166	1	s.	s.	PROPN
ejpam-6624	166	2	phoosree	phoosree	INTJ
ejpam-6624	166	3	et	et	PROPN
ejpam-6624	166	4	al	al	PROPN
ejpam-6624	166	5	.	.	PUNCT
ejpam-6624	166	6	/	/	SYM
ejpam-6624	166	7	eur	eur	PROPN
ejpam-6624	166	8	.	.	PUNCT
ejpam-6624	167	1	j.	j.	PROPN
ejpam-6624	167	2	pure	pure	PROPN
ejpam-6624	167	3	appl	appl	PROPN
ejpam-6624	167	4	.	.	PROPN
ejpam-6624	167	5	math	math	PROPN
ejpam-6624	167	6	,	,	PUNCT
ejpam-6624	167	7	18	18	NUM
ejpam-6624	167	8	(	(	PUNCT
ejpam-6624	167	9	4	4	NUM
ejpam-6624	167	10	)	)	PUNCT
ejpam-6624	167	11	(	(	PUNCT
ejpam-6624	167	12	2025	2025	NUM
ejpam-6624	167	13	)	)	PUNCT
ejpam-6624	167	14	,	,	PUNCT
ejpam-6624	167	15	6624	6624	NUM
ejpam-6624	167	16	9	9	NUM
ejpam-6624	167	17	of	of	ADP
ejpam-6624	167	18	24	24	NUM
ejpam-6624	167	19	where	where	SCONJ
ejpam-6624	167	20	the	the	DET
ejpam-6624	167	21	value	value	NOUN
ejpam-6624	167	22	of	of	ADP
ejpam-6624	167	23	δ	δ	PROPN
ejpam-6624	167	24	,	,	PUNCT
ejpam-6624	167	25	λ	λ	PROPN
ejpam-6624	167	26	are	be	AUX
ejpam-6624	167	27	constants	constant	NOUN
ejpam-6624	167	28	and	and	CCONJ
ejpam-6624	167	29	u	u	NOUN
ejpam-6624	167	30	=	=	PROPN
ejpam-6624	167	31	u(x	u(x	PROPN
ejpam-6624	167	32	,	,	PUNCT
ejpam-6624	167	33	y	y	PROPN
ejpam-6624	167	34	,	,	PUNCT
ejpam-6624	167	35	t	t	PROPN
ejpam-6624	167	36	)	)	PUNCT
ejpam-6624	167	37	.	.	PUNCT
ejpam-6624	168	1	taking	take	VERB
ejpam-6624	168	2	into	into	ADP
ejpam-6624	168	3	consideration	consideration	NOUN
ejpam-6624	168	4	the	the	DET
ejpam-6624	168	5	fact	fact	NOUN
ejpam-6624	168	6	that	that	SCONJ
ejpam-6624	168	7	the	the	DET
ejpam-6624	168	8	solution	solution	NOUN
ejpam-6624	168	9	u(x	u(x	VERB
ejpam-6624	168	10	,	,	PUNCT
ejpam-6624	168	11	y	y	PROPN
ejpam-6624	168	12	,	,	PUNCT
ejpam-6624	168	13	t	t	PROPN
ejpam-6624	168	14	)	)	PUNCT
ejpam-6624	168	15	=	=	SYM
ejpam-6624	168	16	u(β	u(β	X
ejpam-6624	168	17	)	)	PUNCT
ejpam-6624	168	18	and	and	CCONJ
ejpam-6624	168	19	implementing	implement	VERB
ejpam-6624	168	20	the	the	DET
ejpam-6624	168	21	transformation	transformation	NOUN
ejpam-6624	168	22	β	β	NOUN
ejpam-6624	168	23	=	=	PUNCT
ejpam-6624	168	24	axα	axα	VERB
ejpam-6624	168	25	γ(α+	γ(α+	DET
ejpam-6624	168	26	1	1	NUM
ejpam-6624	168	27	)	)	PUNCT
ejpam-6624	168	28	+	+	NUM
ejpam-6624	168	29	byα	byα	ADJ
ejpam-6624	168	30	γ(α+	γ(α+	ADJ
ejpam-6624	168	31	1	1	NUM
ejpam-6624	168	32	)	)	PUNCT
ejpam-6624	168	33	−	−	NOUN
ejpam-6624	168	34	ctα	ctα	VERB
ejpam-6624	168	35	γ(α+	γ(α+	DET
ejpam-6624	168	36	1	1	NUM
ejpam-6624	168	37	)	)	PUNCT
ejpam-6624	168	38	,	,	PUNCT
ejpam-6624	168	39	(	(	PUNCT
ejpam-6624	168	40	41	41	NUM
ejpam-6624	168	41	)	)	PUNCT
ejpam-6624	168	42	where	where	SCONJ
ejpam-6624	168	43	a	a	DET
ejpam-6624	168	44	,	,	PUNCT
ejpam-6624	168	45	b	b	NOUN
ejpam-6624	168	46	,	,	PUNCT
ejpam-6624	168	47	and	and	CCONJ
ejpam-6624	168	48	c	c	PROPN
ejpam-6624	168	49	are	be	AUX
ejpam-6624	168	50	constants	constant	NOUN
ejpam-6624	168	51	that	that	PRON
ejpam-6624	168	52	are	be	AUX
ejpam-6624	168	53	not	not	PART
ejpam-6624	168	54	equal	equal	ADJ
ejpam-6624	168	55	to	to	ADP
ejpam-6624	168	56	zero	zero	NUM
ejpam-6624	168	57	.	.	PUNCT
ejpam-6624	169	1	there	there	PRON
ejpam-6624	169	2	was	be	VERB
ejpam-6624	169	3	a	a	DET
ejpam-6624	169	4	transformation	transformation	NOUN
ejpam-6624	169	5	of	of	ADP
ejpam-6624	169	6	equation	equation	NOUN
ejpam-6624	169	7	(	(	PUNCT
ejpam-6624	169	8	40	40	NUM
ejpam-6624	169	9	)	)	PUNCT
ejpam-6624	169	10	into	into	ADP
ejpam-6624	169	11	an	an	DET
ejpam-6624	169	12	ode	ode	PROPN
ejpam-6624	169	13	.	.	PUNCT
ejpam-6624	169	14	a2	a2	PROPN
ejpam-6624	169	15	d2u	d2u	ADV
ejpam-6624	169	16	dβ2	dβ2	VERB
ejpam-6624	170	1	+	+	CCONJ
ejpam-6624	170	2	b2	b2	NOUN
ejpam-6624	170	3	d2u	d2u	ADV
ejpam-6624	170	4	dβ2	dβ2	VERB
ejpam-6624	171	1	+	+	CCONJ
ejpam-6624	171	2	c2	c2	PROPN
ejpam-6624	171	3	d2u	d2u	ADV
ejpam-6624	171	4	dβ2	dβ2	VERB
ejpam-6624	172	1	+	+	CCONJ
ejpam-6624	172	2	δu	δu	X
ejpam-6624	172	3	+	+	ADV
ejpam-6624	172	4	λu3	λu3	NOUN
ejpam-6624	172	5	=	=	SYM
ejpam-6624	172	6	0	0	X
ejpam-6624	172	7	.	.	PUNCT
ejpam-6624	173	1	(	(	PUNCT
ejpam-6624	173	2	42	42	NUM
ejpam-6624	173	3	)	)	PUNCT
ejpam-6624	173	4	the	the	DET
ejpam-6624	173	5	solution	solution	NOUN
ejpam-6624	173	6	is	be	AUX
ejpam-6624	173	7	represented	represent	VERB
ejpam-6624	173	8	by	by	ADP
ejpam-6624	173	9	equation	equation	NOUN
ejpam-6624	173	10	(	(	PUNCT
ejpam-6624	173	11	11	11	NUM
ejpam-6624	173	12	)	)	PUNCT
ejpam-6624	173	13	and	and	CCONJ
ejpam-6624	173	14	is	be	AUX
ejpam-6624	173	15	constructed	construct	VERB
ejpam-6624	173	16	by	by	ADP
ejpam-6624	173	17	the	the	DET
ejpam-6624	173	18	use	use	NOUN
ejpam-6624	173	19	of	of	ADP
ejpam-6624	173	20	the	the	DET
ejpam-6624	173	21	generalized	generalize	VERB
ejpam-6624	173	22	riccati	riccati	NOUN
ejpam-6624	173	23	equation	equation	NOUN
ejpam-6624	173	24	mapping	mapping	NOUN
ejpam-6624	173	25	method	method	NOUN
ejpam-6624	173	26	.	.	PUNCT
ejpam-6624	174	1	after	after	ADP
ejpam-6624	174	2	that	that	PRON
ejpam-6624	174	3	,	,	PUNCT
ejpam-6624	174	4	the	the	DET
ejpam-6624	174	5	nonlinear	nonlinear	ADJ
ejpam-6624	174	6	term	term	NOUN
ejpam-6624	174	7	in	in	ADP
ejpam-6624	174	8	equation	equation	NOUN
ejpam-6624	174	9	(	(	PUNCT
ejpam-6624	174	10	42	42	NUM
ejpam-6624	174	11	)	)	PUNCT
ejpam-6624	174	12	and	and	CCONJ
ejpam-6624	174	13	the	the	DET
ejpam-6624	174	14	highest	high	ADJ
ejpam-6624	174	15	-	-	PUNCT
ejpam-6624	174	16	order	order	NOUN
ejpam-6624	174	17	derivative	derivative	NOUN
ejpam-6624	174	18	are	be	AUX
ejpam-6624	174	19	brought	bring	VERB
ejpam-6624	174	20	into	into	ADP
ejpam-6624	174	21	balance	balance	NOUN
ejpam-6624	174	22	.	.	PUNCT
ejpam-6624	175	1	now	now	ADV
ejpam-6624	175	2	,	,	PUNCT
ejpam-6624	175	3	n	n	NOUN
ejpam-6624	175	4	=	=	SYM
ejpam-6624	175	5	1	1	X
ejpam-6624	175	6	.	.	X
ejpam-6624	175	7	equation	equation	NOUN
ejpam-6624	175	8	(	(	PUNCT
ejpam-6624	175	9	11	11	NUM
ejpam-6624	175	10	)	)	PUNCT
ejpam-6624	175	11	,	,	PUNCT
ejpam-6624	175	12	this	this	PRON
ejpam-6624	175	13	is	be	AUX
ejpam-6624	175	14	what	what	PRON
ejpam-6624	175	15	we	we	PRON
ejpam-6624	175	16	have	have	VERB
ejpam-6624	175	17	:	:	PUNCT
ejpam-6624	175	18	u(β	u(β	X
ejpam-6624	175	19	)	)	PUNCT
ejpam-6624	176	1	=	=	SYM
ejpam-6624	176	2	ρ0	ρ0	PROPN
ejpam-6624	176	3	+	+	X
ejpam-6624	176	4	ρ1h(β	ρ1h(β	PROPN
ejpam-6624	176	5	)	)	PUNCT
ejpam-6624	176	6	.	.	PUNCT
ejpam-6624	177	1	(	(	PUNCT
ejpam-6624	177	2	43	43	NUM
ejpam-6624	177	3	)	)	PUNCT
ejpam-6624	177	4	it	it	PRON
ejpam-6624	177	5	is	be	AUX
ejpam-6624	177	6	necessary	necessary	ADJ
ejpam-6624	177	7	to	to	PART
ejpam-6624	177	8	substitute	substitute	NOUN
ejpam-6624	177	9	equation	equation	NOUN
ejpam-6624	177	10	(	(	PUNCT
ejpam-6624	177	11	43	43	NUM
ejpam-6624	177	12	)	)	PUNCT
ejpam-6624	177	13	for	for	ADP
ejpam-6624	177	14	equation	equation	NOUN
ejpam-6624	177	15	(	(	PUNCT
ejpam-6624	177	16	42	42	NUM
ejpam-6624	177	17	)	)	PUNCT
ejpam-6624	177	18	.	.	PUNCT
ejpam-6624	178	1	according	accord	VERB
ejpam-6624	178	2	to	to	ADP
ejpam-6624	178	3	the	the	DET
ejpam-6624	178	4	following	following	NOUN
ejpam-6624	178	5	,	,	PUNCT
ejpam-6624	178	6	we	we	PRON
ejpam-6624	178	7	gathered	gather	VERB
ejpam-6624	178	8	all	all	PRON
ejpam-6624	178	9	of	of	ADP
ejpam-6624	178	10	the	the	DET
ejpam-6624	178	11	terms	term	NOUN
ejpam-6624	178	12	that	that	PRON
ejpam-6624	178	13	were	be	AUX
ejpam-6624	178	14	of	of	ADP
ejpam-6624	178	15	the	the	DET
ejpam-6624	178	16	same	same	ADJ
ejpam-6624	178	17	power	power	NOUN
ejpam-6624	178	18	of	of	ADP
ejpam-6624	178	19	h(β	h(β	PROPN
ejpam-6624	178	20	)	)	PUNCT
ejpam-6624	178	21	and	and	CCONJ
ejpam-6624	178	22	set	set	VERB
ejpam-6624	178	23	each	each	DET
ejpam-6624	178	24	coefficient	coefficient	NOUN
ejpam-6624	178	25	to	to	ADP
ejpam-6624	178	26	zero	zero	NUM
ejpam-6624	178	27	as	as	SCONJ
ejpam-6624	178	28	shown	show	VERB
ejpam-6624	178	29	below	below	ADV
ejpam-6624	178	30	:	:	PUNCT
ejpam-6624	178	31	h0(β	h0(β	PROPN
ejpam-6624	178	32	)	)	PUNCT
ejpam-6624	178	33	:	:	PUNCT
ejpam-6624	178	34	a2ρ1rs+	a2ρ1rs+	PROPN
ejpam-6624	178	35	b2ρ1rs+	b2ρ1rs+	NOUN
ejpam-6624	178	36	c2ρ1rs+	c2ρ1rs+	VERB
ejpam-6624	178	37	δρ0	δρ0	PROPN
ejpam-6624	179	1	+	+	CCONJ
ejpam-6624	179	2	λρ30	λρ30	PROPN
ejpam-6624	179	3	=	=	SYM
ejpam-6624	179	4	0	0	NUM
ejpam-6624	179	5	,	,	PUNCT
ejpam-6624	179	6	(	(	PUNCT
ejpam-6624	179	7	44	44	NUM
ejpam-6624	179	8	)	)	PUNCT
ejpam-6624	179	9	h1(β	h1(β	PROPN
ejpam-6624	179	10	)	)	PUNCT
ejpam-6624	179	11	:	:	PUNCT
ejpam-6624	179	12	a2ρ1s	a2ρ1s	NUM
ejpam-6624	180	1	2	2	NUM
ejpam-6624	180	2	+	+	NUM
ejpam-6624	180	3	2a2ρ1rk	2a2ρ1rk	NUM
ejpam-6624	180	4	+	+	CCONJ
ejpam-6624	180	5	b2ρ1s	b2ρ1s	NUM
ejpam-6624	180	6	2	2	NUM
ejpam-6624	180	7	+	+	NUM
ejpam-6624	180	8	2b2ρ1rk	2b2ρ1rk	NUM
ejpam-6624	180	9	+	+	NOUN
ejpam-6624	180	10	c2ρ1s	c2ρ1s	X
ejpam-6624	180	11	2	2	NUM
ejpam-6624	180	12	+	+	SYM
ejpam-6624	180	13	2c2ρ1rk	2c2ρ1rk	NUM
ejpam-6624	180	14	+	+	CCONJ
ejpam-6624	180	15	δρ1	δρ1	NOUN
ejpam-6624	180	16	+	+	X
ejpam-6624	180	17	3λρ20ρ1	3λρ20ρ1	NUM
ejpam-6624	180	18	=	=	SYM
ejpam-6624	180	19	0	0	NUM
ejpam-6624	180	20	,	,	PUNCT
ejpam-6624	180	21	(	(	PUNCT
ejpam-6624	180	22	45	45	NUM
ejpam-6624	180	23	)	)	PUNCT
ejpam-6624	180	24	h2(β	h2(β	PROPN
ejpam-6624	180	25	)	)	PUNCT
ejpam-6624	180	26	:	:	PUNCT
ejpam-6624	181	1	a2ρ1sk	a2ρ1sk	X
ejpam-6624	182	1	+	+	CCONJ
ejpam-6624	182	2	2a2ρ1sk	2a2ρ1sk	NUM
ejpam-6624	182	3	+	+	SYM
ejpam-6624	182	4	b2ρ1sk	b2ρ1sk	NOUN
ejpam-6624	182	5	+	+	X
ejpam-6624	182	6	2b2ρ1sk	2b2ρ1sk	NUM
ejpam-6624	182	7	+	+	NOUN
ejpam-6624	182	8	c2ρ1sk	c2ρ1sk	X
ejpam-6624	182	9	+	+	CCONJ
ejpam-6624	182	10	2c2ρ1sk	2c2ρ1sk	NUM
ejpam-6624	182	11	+	+	CCONJ
ejpam-6624	182	12	3λρ0ρ	3λρ0ρ	NUM
ejpam-6624	182	13	2	2	NUM
ejpam-6624	182	14	1	1	NUM
ejpam-6624	182	15	=	=	SYM
ejpam-6624	182	16	0	0	NUM
ejpam-6624	182	17	,	,	PUNCT
ejpam-6624	182	18	(	(	PUNCT
ejpam-6624	182	19	46	46	NUM
ejpam-6624	182	20	)	)	PUNCT
ejpam-6624	182	21	h3(β	h3(β	NOUN
ejpam-6624	182	22	)	)	PUNCT
ejpam-6624	182	23	:	:	PUNCT
ejpam-6624	182	24	2a2ρ1k	2a2ρ1k	NUM
ejpam-6624	182	25	2	2	NUM
ejpam-6624	182	26	+	+	SYM
ejpam-6624	182	27	2b2ρ1k	2b2ρ1k	NUM
ejpam-6624	182	28	2	2	NUM
ejpam-6624	182	29	+	+	CCONJ
ejpam-6624	182	30	2c2ρ1k	2c2ρ1k	NUM
ejpam-6624	182	31	2	2	NUM
ejpam-6624	182	32	+	+	CCONJ
ejpam-6624	183	1	λρ31	λρ31	PROPN
ejpam-6624	183	2	=	=	SYM
ejpam-6624	183	3	0	0	NUM
ejpam-6624	183	4	.	.	PUNCT
ejpam-6624	184	1	(	(	PUNCT
ejpam-6624	184	2	47	47	NUM
ejpam-6624	184	3	)	)	PUNCT
ejpam-6624	184	4	attempting	attempt	VERB
ejpam-6624	184	5	to	to	PART
ejpam-6624	184	6	solve	solve	VERB
ejpam-6624	184	7	the	the	DET
ejpam-6624	184	8	system	system	NOUN
ejpam-6624	184	9	of	of	ADP
ejpam-6624	184	10	equations	equation	NOUN
ejpam-6624	184	11	(	(	PUNCT
ejpam-6624	184	12	44	44	NUM
ejpam-6624	184	13	)	)	PUNCT
ejpam-6624	184	14	(	(	PUNCT
ejpam-6624	184	15	47	47	NUM
ejpam-6624	184	16	)	)	PUNCT
ejpam-6624	184	17	,	,	PUNCT
ejpam-6624	184	18	we	we	PRON
ejpam-6624	184	19	obtain	obtain	VERB
ejpam-6624	184	20	the	the	DET
ejpam-6624	184	21	following	following	NOUN
ejpam-6624	184	22	:	:	PUNCT
ejpam-6624	184	23	case	case	NOUN
ejpam-6624	184	24	i	i	PRON
ejpam-6624	184	25	:	:	PUNCT
ejpam-6624	184	26	we	we	PRON
ejpam-6624	184	27	obtain	obtain	VERB
ejpam-6624	184	28	ρ0	ρ0	PROPN
ejpam-6624	184	29	=	=	PUNCT
ejpam-6624	184	30	∓	∓	PROPN
ejpam-6624	184	31	√	√	ADJ
ejpam-6624	184	32	δs√	δs√	NOUN
ejpam-6624	184	33	−λ(s2	−λ(s2	PROPN
ejpam-6624	184	34	−	−	PROPN
ejpam-6624	184	35	4rk	4rk	PROPN
ejpam-6624	184	36	)	)	PUNCT
ejpam-6624	184	37	,	,	PUNCT
ejpam-6624	184	38	ρ1	ρ1	NOUN
ejpam-6624	184	39	=	=	PUNCT
ejpam-6624	184	40	∓	∓	NOUN
ejpam-6624	184	41	2	2	NUM
ejpam-6624	184	42	√	√	NOUN
ejpam-6624	184	43	δk√	δk√	VERB
ejpam-6624	184	44	−λ(s2	−λ(s2	PROPN
ejpam-6624	184	45	−	−	PROPN
ejpam-6624	184	46	4rk	4rk	NOUN
ejpam-6624	184	47	)	)	PUNCT
ejpam-6624	184	48	,	,	PUNCT
ejpam-6624	184	49	and	and	CCONJ
ejpam-6624	184	50	c	c	X
ejpam-6624	184	51	=	=	PUNCT
ejpam-6624	184	52	√	√	PROPN
ejpam-6624	184	53	−2δ	−2δ	VERB
ejpam-6624	185	1	+	+	CCONJ
ejpam-6624	185	2	(	(	PUNCT
ejpam-6624	185	3	a2	a2	PROPN
ejpam-6624	185	4	+	+	CCONJ
ejpam-6624	185	5	b2)(s2	b2)(s2	NOUN
ejpam-6624	186	1	−	−	PROPN
ejpam-6624	186	2	4rk)√	4rk)√	NUM
ejpam-6624	186	3	−(s2	−(s2	NOUN
ejpam-6624	186	4	−	−	PROPN
ejpam-6624	186	5	4rk	4rk	NOUN
ejpam-6624	186	6	)	)	PUNCT
ejpam-6624	186	7	,	,	PUNCT
ejpam-6624	186	8	(	(	PUNCT
ejpam-6624	186	9	48	48	NUM
ejpam-6624	186	10	)	)	PUNCT
ejpam-6624	186	11	case	case	NOUN
ejpam-6624	186	12	ii	ii	NOUN
ejpam-6624	186	13	:	:	PUNCT
ejpam-6624	186	14	we	we	PRON
ejpam-6624	186	15	get	get	VERB
ejpam-6624	186	16	ρ0	ρ0	PROPN
ejpam-6624	186	17	=	=	PUNCT
ejpam-6624	186	18	∓	∓	PROPN
ejpam-6624	186	19	√	√	ADJ
ejpam-6624	186	20	δs√	δs√	NOUN
ejpam-6624	186	21	−λ(s2	−λ(s2	PROPN
ejpam-6624	186	22	−	−	PROPN
ejpam-6624	186	23	4rk	4rk	PROPN
ejpam-6624	186	24	)	)	PUNCT
ejpam-6624	186	25	,	,	PUNCT
ejpam-6624	186	26	ρ1	ρ1	NOUN
ejpam-6624	186	27	=	=	PUNCT
ejpam-6624	186	28	∓	∓	NOUN
ejpam-6624	186	29	2	2	NUM
ejpam-6624	186	30	√	√	NOUN
ejpam-6624	186	31	δk√	δk√	VERB
ejpam-6624	186	32	−λ(s2	−λ(s2	PROPN
ejpam-6624	186	33	−	−	PROPN
ejpam-6624	186	34	4rk	4rk	NOUN
ejpam-6624	186	35	)	)	PUNCT
ejpam-6624	186	36	,	,	PUNCT
ejpam-6624	186	37	and	and	CCONJ
ejpam-6624	186	38	c	c	X
ejpam-6624	186	39	=	=	SYM
ejpam-6624	186	40	−	−	PROPN
ejpam-6624	186	41	√	√	INTJ
ejpam-6624	186	42	−2δ	−2δ	VERB
ejpam-6624	187	1	+	+	CCONJ
ejpam-6624	187	2	(	(	PUNCT
ejpam-6624	187	3	a2	a2	PROPN
ejpam-6624	187	4	+	+	CCONJ
ejpam-6624	187	5	b2)(s2	b2)(s2	NOUN
ejpam-6624	188	1	−	−	PROPN
ejpam-6624	188	2	4rk)√	4rk)√	NUM
ejpam-6624	188	3	−(s2	−(s2	NOUN
ejpam-6624	188	4	−	−	PROPN
ejpam-6624	188	5	4rk	4rk	NOUN
ejpam-6624	188	6	)	)	PUNCT
ejpam-6624	188	7	.	.	PUNCT
ejpam-6624	189	1	(	(	PUNCT
ejpam-6624	189	2	49	49	NUM
ejpam-6624	189	3	)	)	PUNCT
ejpam-6624	189	4	in	in	ADP
ejpam-6624	189	5	the	the	DET
ejpam-6624	189	6	nonlinear	nonlinear	ADJ
ejpam-6624	189	7	space	space	NOUN
ejpam-6624	189	8	and	and	CCONJ
ejpam-6624	189	9	time	time	NOUN
ejpam-6624	189	10	fractional	fractional	ADJ
ejpam-6624	189	11	(	(	PUNCT
ejpam-6624	189	12	2	2	NUM
ejpam-6624	189	13	+	+	NOUN
ejpam-6624	189	14	1)-dimensional	1)-dimensional	ADJ
ejpam-6624	189	15	ckg	ckg	NOUN
ejpam-6624	189	16	equation	equation	NOUN
ejpam-6624	189	17	,	,	PUNCT
ejpam-6624	189	18	which	which	PRON
ejpam-6624	189	19	is	be	AUX
ejpam-6624	189	20	represented	represent	VERB
ejpam-6624	189	21	by	by	ADP
ejpam-6624	189	22	equations	equation	NOUN
ejpam-6624	189	23	(	(	PUNCT
ejpam-6624	189	24	13	13	NUM
ejpam-6624	189	25	)	)	PUNCT
ejpam-6624	189	26	(	(	PUNCT
ejpam-6624	189	27	39	39	NUM
ejpam-6624	189	28	)	)	PUNCT
ejpam-6624	189	29	,	,	PUNCT
ejpam-6624	189	30	equations	equation	NOUN
ejpam-6624	189	31	(	(	PUNCT
ejpam-6624	189	32	41	41	NUM
ejpam-6624	189	33	)	)	PUNCT
ejpam-6624	189	34	and	and	CCONJ
ejpam-6624	189	35	(	(	PUNCT
ejpam-6624	189	36	48	48	NUM
ejpam-6624	189	37	)	)	PUNCT
ejpam-6624	189	38	,	,	PUNCT
ejpam-6624	189	39	there	there	PRON
ejpam-6624	189	40	are	be	VERB
ejpam-6624	189	41	27	27	NUM
ejpam-6624	189	42	kinds	kind	NOUN
ejpam-6624	189	43	of	of	ADP
ejpam-6624	189	44	analytical	analytical	ADJ
ejpam-6624	189	45	solutions	solution	NOUN
ejpam-6624	189	46	with	with	ADP
ejpam-6624	189	47	an	an	DET
ejpam-6624	189	48	arbitrary	arbitrary	ADJ
ejpam-6624	189	49	constant	constant	ADJ
ejpam-6624	189	50	.	.	PUNCT
ejpam-6624	190	1	these	these	DET
ejpam-6624	190	2	solutions	solution	NOUN
ejpam-6624	190	3	are	be	AUX
ejpam-6624	190	4	described	describe	VERB
ejpam-6624	190	5	by	by	ADP
ejpam-6624	190	6	the	the	DET
ejpam-6624	190	7	s.	s.	PROPN
ejpam-6624	190	8	phoosree	phoosree	PROPN
ejpam-6624	190	9	et	et	PROPN
ejpam-6624	190	10	al	al	PROPN
ejpam-6624	190	11	.	.	PUNCT
ejpam-6624	190	12	/	/	SYM
ejpam-6624	190	13	eur	eur	PROPN
ejpam-6624	190	14	.	.	PUNCT
ejpam-6624	191	1	j.	j.	PROPN
ejpam-6624	191	2	pure	pure	PROPN
ejpam-6624	191	3	appl	appl	PROPN
ejpam-6624	191	4	.	.	PROPN
ejpam-6624	191	5	math	math	PROPN
ejpam-6624	191	6	,	,	PUNCT
ejpam-6624	191	7	18	18	NUM
ejpam-6624	191	8	(	(	PUNCT
ejpam-6624	191	9	4	4	NUM
ejpam-6624	191	10	)	)	PUNCT
ejpam-6624	191	11	(	(	PUNCT
ejpam-6624	191	12	2025	2025	NUM
ejpam-6624	191	13	)	)	PUNCT
ejpam-6624	191	14	,	,	PUNCT
ejpam-6624	191	15	6624	6624	NUM
ejpam-6624	191	16	10	10	NUM
ejpam-6624	191	17	of	of	ADP
ejpam-6624	191	18	24	24	NUM
ejpam-6624	191	19	equations	equation	NOUN
ejpam-6624	191	20	.	.	PUNCT
ejpam-6624	192	1	the	the	DET
ejpam-6624	192	2	following	follow	VERB
ejpam-6624	192	3	is	be	AUX
ejpam-6624	192	4	a	a	DET
ejpam-6624	192	5	list	list	NOUN
ejpam-6624	192	6	of	of	ADP
ejpam-6624	192	7	the	the	DET
ejpam-6624	192	8	several	several	ADJ
ejpam-6624	192	9	solutions	solution	NOUN
ejpam-6624	192	10	:	:	PUNCT
ejpam-6624	192	11	type	type	NOUN
ejpam-6624	192	12	i	i	PRON
ejpam-6624	192	13	:	:	PUNCT
ejpam-6624	192	14	when	when	SCONJ
ejpam-6624	192	15	φ	φ	PROPN
ejpam-6624	192	16	=	=	SYM
ejpam-6624	192	17	s2	s2	PROPN
ejpam-6624	192	18	−	−	PROPN
ejpam-6624	192	19	4rk	4rk	NOUN
ejpam-6624	192	20	>	>	X
ejpam-6624	192	21	0	0	PUNCT
ejpam-6624	193	1	and	and	CCONJ
ejpam-6624	193	2	sk	sk	ADP
ejpam-6624	193	3	̸=	̸=	PROPN
ejpam-6624	193	4	0	0	NUM
ejpam-6624	193	5	or	or	CCONJ
ejpam-6624	193	6	rk	rk	PRON
ejpam-6624	193	7	̸=	̸=	PROPN
ejpam-6624	193	8	0	0	NUM
ejpam-6624	193	9	,	,	PUNCT
ejpam-6624	193	10	we	we	PRON
ejpam-6624	193	11	obtained	obtain	VERB
ejpam-6624	193	12	u1(x	u1(x	PROPN
ejpam-6624	193	13	,	,	PUNCT
ejpam-6624	193	14	y	y	PROPN
ejpam-6624	193	15	,	,	PUNCT
ejpam-6624	193	16	t	t	PROPN
ejpam-6624	193	17	)	)	PUNCT
ejpam-6624	193	18	=	=	VERB
ejpam-6624	194	1	∓	∓	NOUN
ejpam-6624	194	2	√	√	ADJ
ejpam-6624	194	3	δs√	δs√	NOUN
ejpam-6624	194	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	194	5	−	−	PROPN
ejpam-6624	194	6	4rk	4rk	NOUN
ejpam-6624	194	7	)	)	PUNCT
ejpam-6624	195	1	∓	∓	NOUN
ejpam-6624	195	2	2	2	NUM
ejpam-6624	195	3	√	√	NOUN
ejpam-6624	195	4	δk√	δk√	VERB
ejpam-6624	195	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	195	6	−	−	PROPN
ejpam-6624	195	7	4rk	4rk	NOUN
ejpam-6624	195	8	)	)	PUNCT
ejpam-6624	196	1	(	(	PUNCT
ejpam-6624	196	2	−	−	PROPN
ejpam-6624	196	3	1	1	NUM
ejpam-6624	196	4	2k	2k	NOUN
ejpam-6624	196	5	(	(	PUNCT
ejpam-6624	196	6	s+	s+	ADV
ejpam-6624	196	7	√	√	PROPN
ejpam-6624	196	8	φ	φ	NUM
ejpam-6624	196	9	tanh	tanh	PROPN
ejpam-6624	196	10	(	(	PUNCT
ejpam-6624	196	11	√	√	PROPN
ejpam-6624	196	12	φ	φ	NUM
ejpam-6624	196	13	2	2	NUM
ejpam-6624	196	14	β	β	NOUN
ejpam-6624	196	15	)	)	PUNCT
ejpam-6624	196	16	)	)	PUNCT
ejpam-6624	196	17	)	)	PUNCT
ejpam-6624	196	18	,	,	PUNCT
ejpam-6624	196	19	(	(	PUNCT
ejpam-6624	196	20	50	50	NUM
ejpam-6624	196	21	)	)	PUNCT
ejpam-6624	196	22	u2(x	u2(x	PROPN
ejpam-6624	196	23	,	,	PUNCT
ejpam-6624	196	24	y	y	PROPN
ejpam-6624	196	25	,	,	PUNCT
ejpam-6624	196	26	t	t	PROPN
ejpam-6624	196	27	)	)	PUNCT
ejpam-6624	196	28	=	=	VERB
ejpam-6624	197	1	∓	∓	NOUN
ejpam-6624	197	2	√	√	ADJ
ejpam-6624	197	3	δs√	δs√	NOUN
ejpam-6624	197	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	197	5	−	−	PROPN
ejpam-6624	197	6	4rk	4rk	NOUN
ejpam-6624	197	7	)	)	PUNCT
ejpam-6624	198	1	∓	∓	NOUN
ejpam-6624	198	2	2	2	NUM
ejpam-6624	198	3	√	√	NOUN
ejpam-6624	198	4	δk√	δk√	VERB
ejpam-6624	198	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	198	6	−	−	PROPN
ejpam-6624	198	7	4rk	4rk	NOUN
ejpam-6624	198	8	)	)	PUNCT
ejpam-6624	199	1	(	(	PUNCT
ejpam-6624	199	2	−	−	PROPN
ejpam-6624	199	3	1	1	NUM
ejpam-6624	199	4	2k	2k	NOUN
ejpam-6624	199	5	(	(	PUNCT
ejpam-6624	199	6	s+	s+	NUM
ejpam-6624	199	7	√	√	PROPN
ejpam-6624	199	8	φ	φ	NUM
ejpam-6624	199	9	coth	coth	PROPN
ejpam-6624	199	10	(	(	PUNCT
ejpam-6624	199	11	√	√	PROPN
ejpam-6624	199	12	φ	φ	NUM
ejpam-6624	199	13	2	2	NUM
ejpam-6624	199	14	β	β	NOUN
ejpam-6624	199	15	)	)	PUNCT
ejpam-6624	199	16	)	)	PUNCT
ejpam-6624	199	17	)	)	PUNCT
ejpam-6624	199	18	,	,	PUNCT
ejpam-6624	199	19	(	(	PUNCT
ejpam-6624	199	20	51	51	NUM
ejpam-6624	199	21	)	)	PUNCT
ejpam-6624	199	22	u3(x	u3(x	PROPN
ejpam-6624	199	23	,	,	PUNCT
ejpam-6624	199	24	y	y	PROPN
ejpam-6624	199	25	,	,	PUNCT
ejpam-6624	199	26	t	t	PROPN
ejpam-6624	199	27	)	)	PUNCT
ejpam-6624	199	28	=	=	VERB
ejpam-6624	200	1	∓	∓	NOUN
ejpam-6624	200	2	√	√	ADJ
ejpam-6624	200	3	δs√	δs√	NOUN
ejpam-6624	200	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	200	5	−	−	PROPN
ejpam-6624	200	6	4rk	4rk	NOUN
ejpam-6624	200	7	)	)	PUNCT
ejpam-6624	201	1	∓	∓	NOUN
ejpam-6624	201	2	2	2	NUM
ejpam-6624	201	3	√	√	NOUN
ejpam-6624	201	4	δk√	δk√	VERB
ejpam-6624	201	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	201	6	−	−	PROPN
ejpam-6624	201	7	4rk	4rk	NOUN
ejpam-6624	201	8	)	)	PUNCT
ejpam-6624	202	1	(	(	PUNCT
ejpam-6624	202	2	−	−	PROPN
ejpam-6624	202	3	1	1	NUM
ejpam-6624	202	4	2k	2k	NOUN
ejpam-6624	202	5	(	(	PUNCT
ejpam-6624	202	6	s+	s+	NUM
ejpam-6624	202	7	√	√	PROPN
ejpam-6624	202	8	φ	φ	PROPN
ejpam-6624	202	9	(	(	PUNCT
ejpam-6624	202	10	tanh	tanh	PROPN
ejpam-6624	202	11	(	(	PUNCT
ejpam-6624	202	12	√	√	NUM
ejpam-6624	202	13	φβ)±	φβ)±	NOUN
ejpam-6624	202	14	i	i	PRON
ejpam-6624	202	15	sech	sech	VERB
ejpam-6624	202	16	(	(	PUNCT
ejpam-6624	202	17	√	√	NUM
ejpam-6624	202	18	φβ	φβ	NUM
ejpam-6624	202	19	)	)	PUNCT
ejpam-6624	202	20	)	)	PUNCT
ejpam-6624	202	21	)	)	PUNCT
ejpam-6624	202	22	)	)	PUNCT
ejpam-6624	202	23	,	,	PUNCT
ejpam-6624	202	24	(	(	PUNCT
ejpam-6624	202	25	52	52	NUM
ejpam-6624	202	26	)	)	PUNCT
ejpam-6624	202	27	u4(x	u4(x	PROPN
ejpam-6624	202	28	,	,	PUNCT
ejpam-6624	202	29	y	y	PROPN
ejpam-6624	202	30	,	,	PUNCT
ejpam-6624	202	31	t	t	PROPN
ejpam-6624	202	32	)	)	PUNCT
ejpam-6624	202	33	=	=	VERB
ejpam-6624	203	1	∓	∓	NOUN
ejpam-6624	203	2	√	√	ADJ
ejpam-6624	203	3	δs√	δs√	NOUN
ejpam-6624	203	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	203	5	−	−	PROPN
ejpam-6624	203	6	4rk	4rk	NOUN
ejpam-6624	203	7	)	)	PUNCT
ejpam-6624	204	1	∓	∓	NOUN
ejpam-6624	204	2	2	2	NUM
ejpam-6624	204	3	√	√	NOUN
ejpam-6624	204	4	δk√	δk√	VERB
ejpam-6624	204	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	204	6	−	−	PROPN
ejpam-6624	204	7	4rk	4rk	NOUN
ejpam-6624	204	8	)	)	PUNCT
ejpam-6624	205	1	(	(	PUNCT
ejpam-6624	205	2	−	−	PROPN
ejpam-6624	205	3	1	1	NUM
ejpam-6624	205	4	2k	2k	NOUN
ejpam-6624	205	5	(	(	PUNCT
ejpam-6624	205	6	s+	s+	NUM
ejpam-6624	205	7	√	√	PROPN
ejpam-6624	205	8	φ	φ	PROPN
ejpam-6624	205	9	(	(	PUNCT
ejpam-6624	205	10	coth	coth	PROPN
ejpam-6624	205	11	(	(	PUNCT
ejpam-6624	205	12	√	√	NUM
ejpam-6624	205	13	φβ)±	φβ)±	NUM
ejpam-6624	205	14	csch	csch	NOUN
ejpam-6624	205	15	(	(	PUNCT
ejpam-6624	205	16	√	√	NUM
ejpam-6624	205	17	φβ	φβ	NUM
ejpam-6624	205	18	)	)	PUNCT
ejpam-6624	205	19	)	)	PUNCT
ejpam-6624	205	20	)	)	PUNCT
ejpam-6624	205	21	)	)	PUNCT
ejpam-6624	205	22	,	,	PUNCT
ejpam-6624	205	23	(	(	PUNCT
ejpam-6624	205	24	53	53	NUM
ejpam-6624	205	25	)	)	PUNCT
ejpam-6624	205	26	u5(x	u5(x	PROPN
ejpam-6624	205	27	,	,	PUNCT
ejpam-6624	205	28	y	y	PROPN
ejpam-6624	205	29	,	,	PUNCT
ejpam-6624	205	30	t	t	PROPN
ejpam-6624	205	31	)	)	PUNCT
ejpam-6624	205	32	=	=	VERB
ejpam-6624	206	1	∓	∓	NOUN
ejpam-6624	206	2	√	√	ADJ
ejpam-6624	206	3	δs√	δs√	NOUN
ejpam-6624	206	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	206	5	−	−	PROPN
ejpam-6624	206	6	4rk	4rk	NOUN
ejpam-6624	206	7	)	)	PUNCT
ejpam-6624	207	1	∓	∓	NOUN
ejpam-6624	207	2	2	2	NUM
ejpam-6624	207	3	√	√	NOUN
ejpam-6624	207	4	δk√	δk√	VERB
ejpam-6624	207	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	207	6	−	−	PROPN
ejpam-6624	207	7	4rk	4rk	NOUN
ejpam-6624	207	8	)	)	PUNCT
ejpam-6624	208	1	(	(	PUNCT
ejpam-6624	208	2	−	−	PROPN
ejpam-6624	208	3	1	1	NUM
ejpam-6624	208	4	4k	4k	X
ejpam-6624	208	5	(	(	PUNCT
ejpam-6624	208	6	2s+	2s+	NUM
ejpam-6624	208	7	√	√	NUM
ejpam-6624	208	8	φ	φ	PROPN
ejpam-6624	208	9	(	(	PUNCT
ejpam-6624	208	10	tanh	tanh	PROPN
ejpam-6624	208	11	(	(	PUNCT
ejpam-6624	208	12	√	√	PROPN
ejpam-6624	208	13	φ	φ	NUM
ejpam-6624	208	14	4	4	NUM
ejpam-6624	208	15	β	β	X
ejpam-6624	208	16	)	)	PUNCT
ejpam-6624	209	1	+	+	CCONJ
ejpam-6624	209	2	coth	coth	NOUN
ejpam-6624	209	3	(	(	PUNCT
ejpam-6624	209	4	√	√	PROPN
ejpam-6624	209	5	φ	φ	NUM
ejpam-6624	209	6	4	4	NUM
ejpam-6624	209	7	β	β	NOUN
ejpam-6624	209	8	)	)	PUNCT
ejpam-6624	209	9	)	)	PUNCT
ejpam-6624	209	10	)	)	PUNCT
ejpam-6624	209	11	)	)	PUNCT
ejpam-6624	209	12	,	,	PUNCT
ejpam-6624	209	13	(	(	PUNCT
ejpam-6624	209	14	54	54	NUM
ejpam-6624	209	15	)	)	PUNCT
ejpam-6624	209	16	u6(x	u6(x	PROPN
ejpam-6624	209	17	,	,	PUNCT
ejpam-6624	209	18	y	y	PROPN
ejpam-6624	209	19	,	,	PUNCT
ejpam-6624	209	20	t	t	PROPN
ejpam-6624	209	21	)	)	PUNCT
ejpam-6624	209	22	=	=	VERB
ejpam-6624	210	1	∓	∓	NOUN
ejpam-6624	210	2	√	√	ADJ
ejpam-6624	210	3	δs√	δs√	NOUN
ejpam-6624	210	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	210	5	−	−	PROPN
ejpam-6624	210	6	4rk	4rk	NOUN
ejpam-6624	210	7	)	)	PUNCT
ejpam-6624	211	1	∓	∓	NOUN
ejpam-6624	211	2	2	2	NUM
ejpam-6624	211	3	√	√	NOUN
ejpam-6624	211	4	δk√	δk√	VERB
ejpam-6624	211	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	211	6	−	−	PROPN
ejpam-6624	211	7	4rk	4rk	NOUN
ejpam-6624	211	8	)	)	PUNCT
ejpam-6624	212	1	(	(	PUNCT
ejpam-6624	212	2	−	−	PROPN
ejpam-6624	212	3	1	1	NUM
ejpam-6624	212	4	2k	2k	NOUN
ejpam-6624	212	5	(	(	PUNCT
ejpam-6624	212	6	s−	s−	PROPN
ejpam-6624	212	7	√	√	NUM
ejpam-6624	212	8	φ(µ2	φ(µ2	NOUN
ejpam-6624	212	9	+	+	CCONJ
ejpam-6624	212	10	σ2)−	σ2)−	PROPN
ejpam-6624	212	11	µ	µ	ADJ
ejpam-6624	212	12	√	√	PROPN
ejpam-6624	212	13	φ	φ	NUM
ejpam-6624	212	14	cosh	cosh	PROPN
ejpam-6624	212	15	(	(	PUNCT
ejpam-6624	212	16	√	√	ADP
ejpam-6624	212	17	φβ	φβ	NOUN
ejpam-6624	212	18	)	)	PUNCT
ejpam-6624	212	19	µ	µ	NOUN
ejpam-6624	212	20	sinh	sinh	NOUN
ejpam-6624	212	21	(	(	PUNCT
ejpam-6624	212	22	√	√	ADP
ejpam-6624	212	23	φβ	φβ	NOUN
ejpam-6624	212	24	)	)	PUNCT
ejpam-6624	212	25	+	+	CCONJ
ejpam-6624	212	26	σ	σ	NOUN
ejpam-6624	212	27	)	)	PUNCT
ejpam-6624	212	28	)	)	PUNCT
ejpam-6624	212	29	,	,	PUNCT
ejpam-6624	212	30	(	(	PUNCT
ejpam-6624	212	31	55	55	NUM
ejpam-6624	212	32	)	)	PUNCT
ejpam-6624	212	33	u7(x	u7(x	PROPN
ejpam-6624	212	34	,	,	PUNCT
ejpam-6624	212	35	y	y	PROPN
ejpam-6624	212	36	,	,	PUNCT
ejpam-6624	212	37	t	t	PROPN
ejpam-6624	212	38	)	)	PUNCT
ejpam-6624	212	39	=	=	VERB
ejpam-6624	213	1	∓	∓	NOUN
ejpam-6624	213	2	√	√	ADJ
ejpam-6624	213	3	δs√	δs√	NOUN
ejpam-6624	213	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	213	5	−	−	PROPN
ejpam-6624	213	6	4rk	4rk	NOUN
ejpam-6624	213	7	)	)	PUNCT
ejpam-6624	214	1	∓	∓	NOUN
ejpam-6624	214	2	2	2	NUM
ejpam-6624	214	3	√	√	NOUN
ejpam-6624	214	4	δk√	δk√	VERB
ejpam-6624	214	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	214	6	−	−	PROPN
ejpam-6624	214	7	4rk	4rk	NOUN
ejpam-6624	214	8	)	)	PUNCT
ejpam-6624	215	1	(	(	PUNCT
ejpam-6624	215	2	−	−	PROPN
ejpam-6624	215	3	1	1	NUM
ejpam-6624	215	4	2k	2k	NOUN
ejpam-6624	215	5	(	(	PUNCT
ejpam-6624	215	6	s−	s−	PROPN
ejpam-6624	215	7	√	√	NUM
ejpam-6624	215	8	φ(σ2	φ(σ2	NOUN
ejpam-6624	215	9	−	−	PROPN
ejpam-6624	215	10	µ2	µ2	PROPN
ejpam-6624	215	11	)	)	PUNCT
ejpam-6624	216	1	+	+	NUM
ejpam-6624	216	2	µ	µ	X
ejpam-6624	216	3	√	√	PROPN
ejpam-6624	216	4	φ	φ	NUM
ejpam-6624	216	5	sinh	sinh	PROPN
ejpam-6624	216	6	(	(	PUNCT
ejpam-6624	216	7	√	√	ADP
ejpam-6624	216	8	φβ	φβ	NOUN
ejpam-6624	216	9	)	)	PUNCT
ejpam-6624	216	10	µ	µ	NOUN
ejpam-6624	216	11	cosh	cosh	NOUN
ejpam-6624	216	12	(	(	PUNCT
ejpam-6624	216	13	√	√	ADP
ejpam-6624	216	14	φβ	φβ	NOUN
ejpam-6624	216	15	)	)	PUNCT
ejpam-6624	216	16	+	+	CCONJ
ejpam-6624	216	17	σ	σ	NOUN
ejpam-6624	216	18	)	)	PUNCT
ejpam-6624	216	19	)	)	PUNCT
ejpam-6624	216	20	,	,	PUNCT
ejpam-6624	216	21	(	(	PUNCT
ejpam-6624	216	22	56	56	X
ejpam-6624	216	23	)	)	PUNCT
ejpam-6624	216	24	s.	s.	PROPN
ejpam-6624	216	25	phoosree	phoosree	INTJ
ejpam-6624	216	26	et	et	PROPN
ejpam-6624	216	27	al	al	PROPN
ejpam-6624	216	28	.	.	PUNCT
ejpam-6624	216	29	/	/	SYM
ejpam-6624	216	30	eur	eur	PROPN
ejpam-6624	216	31	.	.	PUNCT
ejpam-6624	217	1	j.	j.	PROPN
ejpam-6624	217	2	pure	pure	PROPN
ejpam-6624	217	3	appl	appl	PROPN
ejpam-6624	217	4	.	.	PROPN
ejpam-6624	217	5	math	math	PROPN
ejpam-6624	217	6	,	,	PUNCT
ejpam-6624	217	7	18	18	NUM
ejpam-6624	217	8	(	(	PUNCT
ejpam-6624	217	9	4	4	NUM
ejpam-6624	217	10	)	)	PUNCT
ejpam-6624	217	11	(	(	PUNCT
ejpam-6624	217	12	2025	2025	NUM
ejpam-6624	217	13	)	)	PUNCT
ejpam-6624	217	14	,	,	PUNCT
ejpam-6624	217	15	6624	6624	NUM
ejpam-6624	217	16	11	11	NUM
ejpam-6624	217	17	of	of	ADP
ejpam-6624	217	18	24	24	NUM
ejpam-6624	217	19	where	where	SCONJ
ejpam-6624	217	20	µ	µ	NOUN
ejpam-6624	217	21	and	and	CCONJ
ejpam-6624	217	22	σ	σ	PROPN
ejpam-6624	217	23	are	be	AUX
ejpam-6624	217	24	two	two	NUM
ejpam-6624	217	25	real	real	ADJ
ejpam-6624	217	26	constants	constant	NOUN
ejpam-6624	217	27	that	that	PRON
ejpam-6624	217	28	are	be	AUX
ejpam-6624	217	29	not	not	PART
ejpam-6624	217	30	zero	zero	NUM
ejpam-6624	217	31	,	,	PUNCT
ejpam-6624	217	32	and	and	CCONJ
ejpam-6624	217	33	they	they	PRON
ejpam-6624	217	34	meet	meet	VERB
ejpam-6624	217	35	the	the	DET
ejpam-6624	217	36	condition	condition	NOUN
ejpam-6624	217	37	that	that	SCONJ
ejpam-6624	217	38	σ2	σ2	PROPN
ejpam-6624	217	39	−	−	PROPN
ejpam-6624	217	40	µ2	µ2	PROPN
ejpam-6624	217	41	.	.	PUNCT
ejpam-6624	218	1	u8(x	u8(x	PROPN
ejpam-6624	218	2	,	,	PUNCT
ejpam-6624	218	3	y	y	PROPN
ejpam-6624	218	4	,	,	PUNCT
ejpam-6624	218	5	t	t	PROPN
ejpam-6624	218	6	)	)	PUNCT
ejpam-6624	218	7	=	=	VERB
ejpam-6624	219	1	∓	∓	NOUN
ejpam-6624	219	2	√	√	ADJ
ejpam-6624	219	3	δs√	δs√	NOUN
ejpam-6624	219	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	219	5	−	−	PROPN
ejpam-6624	219	6	4rk	4rk	NOUN
ejpam-6624	219	7	)	)	PUNCT
ejpam-6624	220	1	∓	∓	NOUN
ejpam-6624	220	2	2	2	NUM
ejpam-6624	220	3	√	√	NOUN
ejpam-6624	220	4	δk√	δk√	VERB
ejpam-6624	220	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	220	6	−	−	PROPN
ejpam-6624	220	7	4rk	4rk	NOUN
ejpam-6624	220	8	)	)	PUNCT
ejpam-6624	220	9			PROPN
ejpam-6624	220	10	2r	2r	NUM
ejpam-6624	220	11	cosh	cosh	NOUN
ejpam-6624	220	12	(	(	PUNCT
ejpam-6624	220	13	√	√	PROPN
ejpam-6624	220	14	φ	φ	NUM
ejpam-6624	220	15	2	2	NUM
ejpam-6624	220	16	β	β	X
ejpam-6624	220	17	)	)	PUNCT
ejpam-6624	220	18	√	√	PROPN
ejpam-6624	220	19	φ	φ	NUM
ejpam-6624	220	20	sinh	sinh	PROPN
ejpam-6624	220	21	(	(	PUNCT
ejpam-6624	220	22	√	√	PROPN
ejpam-6624	220	23	φ	φ	NUM
ejpam-6624	220	24	2	2	NUM
ejpam-6624	220	25	β	β	X
ejpam-6624	220	26	)	)	PUNCT
ejpam-6624	221	1	−	−	PROPN
ejpam-6624	221	2	s	s	PART
ejpam-6624	221	3	cosh	cosh	NOUN
ejpam-6624	221	4	(	(	PUNCT
ejpam-6624	221	5	√	√	PROPN
ejpam-6624	221	6	φ	φ	NUM
ejpam-6624	221	7	2	2	NUM
ejpam-6624	221	8	β	β	X
ejpam-6624	221	9	)	)	PUNCT
ejpam-6624	221	10			NOUN
ejpam-6624	221	11	,	,	PUNCT
ejpam-6624	221	12	(	(	PUNCT
ejpam-6624	221	13	57	57	NUM
ejpam-6624	221	14	)	)	PUNCT
ejpam-6624	221	15	u9(x	u9(x	PROPN
ejpam-6624	221	16	,	,	PUNCT
ejpam-6624	221	17	y	y	PROPN
ejpam-6624	221	18	,	,	PUNCT
ejpam-6624	221	19	t	t	PROPN
ejpam-6624	221	20	)	)	PUNCT
ejpam-6624	221	21	=	=	VERB
ejpam-6624	222	1	∓	∓	NOUN
ejpam-6624	222	2	√	√	ADJ
ejpam-6624	222	3	δs√	δs√	NOUN
ejpam-6624	222	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	222	5	−	−	PROPN
ejpam-6624	222	6	4rk	4rk	NOUN
ejpam-6624	222	7	)	)	PUNCT
ejpam-6624	223	1	∓	∓	NOUN
ejpam-6624	223	2	2	2	NUM
ejpam-6624	223	3	√	√	NOUN
ejpam-6624	223	4	δk√	δk√	VERB
ejpam-6624	223	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	223	6	−	−	PROPN
ejpam-6624	223	7	4rk	4rk	NOUN
ejpam-6624	223	8	)	)	PUNCT
ejpam-6624	224	1			PROPN
ejpam-6624	224	2	−2r	−2r	PROPN
ejpam-6624	224	3	sinh	sinh	NOUN
ejpam-6624	224	4	(	(	PUNCT
ejpam-6624	224	5	√	√	PROPN
ejpam-6624	224	6	φ	φ	NUM
ejpam-6624	224	7	2	2	NUM
ejpam-6624	224	8	β	β	X
ejpam-6624	224	9	)	)	PUNCT
ejpam-6624	224	10	s	s	VERB
ejpam-6624	224	11	sinh	sinh	NOUN
ejpam-6624	224	12	(	(	PUNCT
ejpam-6624	224	13	√	√	PROPN
ejpam-6624	224	14	φ	φ	NUM
ejpam-6624	224	15	2	2	NUM
ejpam-6624	224	16	β	β	NOUN
ejpam-6624	224	17	)	)	PUNCT
ejpam-6624	224	18	−√	−√	PROPN
ejpam-6624	225	1	φ	φ	PROPN
ejpam-6624	225	2	cosh	cosh	PROPN
ejpam-6624	225	3	(	(	PUNCT
ejpam-6624	225	4	√	√	PROPN
ejpam-6624	225	5	φ	φ	NUM
ejpam-6624	225	6	2	2	NUM
ejpam-6624	225	7	β	β	X
ejpam-6624	225	8	)	)	PUNCT
ejpam-6624	225	9			NOUN
ejpam-6624	225	10	,	,	PUNCT
ejpam-6624	225	11	(	(	PUNCT
ejpam-6624	225	12	58	58	NUM
ejpam-6624	225	13	)	)	PUNCT
ejpam-6624	225	14	u10(x	u10(x	NOUN
ejpam-6624	225	15	,	,	PUNCT
ejpam-6624	225	16	y	y	PROPN
ejpam-6624	225	17	,	,	PUNCT
ejpam-6624	225	18	t	t	PROPN
ejpam-6624	225	19	)	)	PUNCT
ejpam-6624	225	20	=	=	VERB
ejpam-6624	226	1	∓	∓	NOUN
ejpam-6624	226	2	√	√	ADJ
ejpam-6624	226	3	δs√	δs√	NOUN
ejpam-6624	226	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	226	5	−	−	PROPN
ejpam-6624	226	6	4rk	4rk	NOUN
ejpam-6624	226	7	)	)	PUNCT
ejpam-6624	227	1	∓	∓	NOUN
ejpam-6624	227	2	2	2	NUM
ejpam-6624	227	3	√	√	NOUN
ejpam-6624	227	4	δk√	δk√	VERB
ejpam-6624	227	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	227	6	−	−	PROPN
ejpam-6624	227	7	4rk	4rk	NOUN
ejpam-6624	227	8	)	)	PUNCT
ejpam-6624	228	1	(	(	PUNCT
ejpam-6624	228	2	2r	2r	NUM
ejpam-6624	228	3	cosh	cosh	NOUN
ejpam-6624	228	4	(	(	PUNCT
ejpam-6624	228	5	√	√	ADP
ejpam-6624	228	6	φβ	φβ	NOUN
ejpam-6624	228	7	)	)	PUNCT
ejpam-6624	228	8	√	√	PROPN
ejpam-6624	228	9	φ	φ	NUM
ejpam-6624	228	10	sinh	sinh	PROPN
ejpam-6624	228	11	(	(	PUNCT
ejpam-6624	228	12	√	√	ADP
ejpam-6624	228	13	φβ	φβ	NOUN
ejpam-6624	228	14	)	)	PUNCT
ejpam-6624	228	15	−	−	PROPN
ejpam-6624	228	16	s	s	PART
ejpam-6624	228	17	cosh	cosh	NOUN
ejpam-6624	228	18	(	(	PUNCT
ejpam-6624	228	19	√	√	ADP
ejpam-6624	228	20	φβ	φβ	NOUN
ejpam-6624	228	21	)	)	PUNCT
ejpam-6624	228	22	±	±	NOUN
ejpam-6624	228	23	i	i	PRON
ejpam-6624	228	24	√	√	PROPN
ejpam-6624	228	25	φ	φ	PROPN
ejpam-6624	228	26	)	)	PUNCT
ejpam-6624	228	27	,	,	PUNCT
ejpam-6624	228	28	(	(	PUNCT
ejpam-6624	228	29	59	59	NUM
ejpam-6624	228	30	)	)	PUNCT
ejpam-6624	228	31	u11(x	u11(x	NOUN
ejpam-6624	228	32	,	,	PUNCT
ejpam-6624	228	33	y	y	PROPN
ejpam-6624	228	34	,	,	PUNCT
ejpam-6624	228	35	t	t	PROPN
ejpam-6624	228	36	)	)	PUNCT
ejpam-6624	228	37	=	=	VERB
ejpam-6624	229	1	∓	∓	NOUN
ejpam-6624	229	2	√	√	ADJ
ejpam-6624	229	3	δs√	δs√	NOUN
ejpam-6624	229	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	229	5	−	−	PROPN
ejpam-6624	229	6	4rk	4rk	NOUN
ejpam-6624	229	7	)	)	PUNCT
ejpam-6624	230	1	∓	∓	NOUN
ejpam-6624	230	2	2	2	NUM
ejpam-6624	230	3	√	√	NOUN
ejpam-6624	230	4	δk√	δk√	VERB
ejpam-6624	230	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	230	6	−	−	PROPN
ejpam-6624	230	7	4rk	4rk	NOUN
ejpam-6624	230	8	)	)	PUNCT
ejpam-6624	231	1	(	(	PUNCT
ejpam-6624	231	2	2r	2r	NUM
ejpam-6624	231	3	sinh	sinh	NOUN
ejpam-6624	231	4	(	(	PUNCT
ejpam-6624	231	5	√	√	ADP
ejpam-6624	231	6	φβ	φβ	NOUN
ejpam-6624	231	7	)	)	PUNCT
ejpam-6624	231	8	−s	−s	NOUN
ejpam-6624	231	9	sinh	sinh	NOUN
ejpam-6624	231	10	(	(	PUNCT
ejpam-6624	231	11	√	√	ADP
ejpam-6624	231	12	φβ	φβ	NOUN
ejpam-6624	231	13	)	)	PUNCT
ejpam-6624	231	14	+	+	CCONJ
ejpam-6624	231	15	√	√	ADJ
ejpam-6624	231	16	φ	φ	NUM
ejpam-6624	231	17	cosh	cosh	PROPN
ejpam-6624	231	18	(	(	PUNCT
ejpam-6624	231	19	√	√	ADP
ejpam-6624	231	20	φβ	φβ	NOUN
ejpam-6624	231	21	)	)	PUNCT
ejpam-6624	231	22	±	±	NOUN
ejpam-6624	231	23	i	i	PRON
ejpam-6624	231	24	√	√	PROPN
ejpam-6624	231	25	φ	φ	NUM
ejpam-6624	231	26	)	)	PUNCT
ejpam-6624	231	27	,	,	PUNCT
ejpam-6624	231	28	(	(	PUNCT
ejpam-6624	231	29	60	60	NUM
ejpam-6624	231	30	)	)	PUNCT
ejpam-6624	231	31	u12(x	u12(x	PROPN
ejpam-6624	231	32	,	,	PUNCT
ejpam-6624	231	33	y	y	PROPN
ejpam-6624	231	34	,	,	PUNCT
ejpam-6624	231	35	t	t	PROPN
ejpam-6624	231	36	)	)	PUNCT
ejpam-6624	231	37	=	=	VERB
ejpam-6624	232	1	∓	∓	NOUN
ejpam-6624	232	2	√	√	ADJ
ejpam-6624	232	3	δs√	δs√	NOUN
ejpam-6624	232	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	232	5	−	−	PROPN
ejpam-6624	232	6	4rk	4rk	NOUN
ejpam-6624	232	7	)	)	PUNCT
ejpam-6624	233	1	∓	∓	NOUN
ejpam-6624	233	2	2	2	NUM
ejpam-6624	233	3	√	√	NOUN
ejpam-6624	233	4	δk√	δk√	VERB
ejpam-6624	233	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	233	6	−	−	PROPN
ejpam-6624	233	7	4rk	4rk	NOUN
ejpam-6624	233	8	)	)	PUNCT
ejpam-6624	234	1			PROPN
ejpam-6624	234	2	4r	4r	NUM
ejpam-6624	234	3	sinh	sinh	NOUN
ejpam-6624	234	4	(	(	PUNCT
ejpam-6624	234	5	√	√	PROPN
ejpam-6624	234	6	φ	φ	NUM
ejpam-6624	234	7	4	4	NUM
ejpam-6624	234	8	β	β	NOUN
ejpam-6624	234	9	)	)	PUNCT
ejpam-6624	234	10	cosh	cosh	NOUN
ejpam-6624	234	11	(	(	PUNCT
ejpam-6624	234	12	√	√	PROPN
ejpam-6624	234	13	φ	φ	NUM
ejpam-6624	234	14	4	4	NUM
ejpam-6624	234	15	β	β	NOUN
ejpam-6624	234	16	)	)	PUNCT
ejpam-6624	235	1	−2s	−2s	PROPN
ejpam-6624	235	2	sinh	sinh	NOUN
ejpam-6624	235	3	(	(	PUNCT
ejpam-6624	235	4	√	√	PROPN
ejpam-6624	235	5	φ	φ	NUM
ejpam-6624	235	6	4	4	NUM
ejpam-6624	235	7	β	β	NOUN
ejpam-6624	235	8	)	)	PUNCT
ejpam-6624	235	9	cosh	cosh	NOUN
ejpam-6624	235	10	(	(	PUNCT
ejpam-6624	235	11	√	√	PROPN
ejpam-6624	235	12	φ	φ	NUM
ejpam-6624	235	13	4	4	NUM
ejpam-6624	235	14	β	β	NOUN
ejpam-6624	235	15	)	)	PUNCT
ejpam-6624	236	1	+	+	CCONJ
ejpam-6624	236	2	2	2	NUM
ejpam-6624	236	3	√	√	NUM
ejpam-6624	236	4	φ	φ	NUM
ejpam-6624	236	5	cosh2	cosh2	PROPN
ejpam-6624	236	6	(	(	PUNCT
ejpam-6624	236	7	√	√	PROPN
ejpam-6624	236	8	φ	φ	NUM
ejpam-6624	236	9	4	4	NUM
ejpam-6624	236	10	β	β	NOUN
ejpam-6624	236	11	)	)	PUNCT
ejpam-6624	236	12	−√	−√	PROPN
ejpam-6624	236	13	φ	φ	NUM
ejpam-6624	236	14			NOUN
ejpam-6624	236	15	,	,	PUNCT
ejpam-6624	236	16	(	(	PUNCT
ejpam-6624	236	17	61	61	NUM
ejpam-6624	236	18	)	)	PUNCT
ejpam-6624	236	19	type	type	NOUN
ejpam-6624	236	20	ii	ii	NOUN
ejpam-6624	236	21	:	:	PUNCT
ejpam-6624	236	22	when	when	SCONJ
ejpam-6624	236	23	φ	φ	PROPN
ejpam-6624	236	24	=	=	SYM
ejpam-6624	236	25	s2	s2	PROPN
ejpam-6624	236	26	−	−	PROPN
ejpam-6624	236	27	4rk	4rk	NOUN
ejpam-6624	236	28	<	<	X
ejpam-6624	236	29	0	0	PUNCT
ejpam-6624	236	30	and	and	CCONJ
ejpam-6624	236	31	sk	sk	ADP
ejpam-6624	236	32	̸=	̸=	PROPN
ejpam-6624	236	33	0	0	NUM
ejpam-6624	236	34	or	or	CCONJ
ejpam-6624	236	35	rk	rk	PRON
ejpam-6624	236	36	̸=	̸=	PROPN
ejpam-6624	236	37	0	0	NUM
ejpam-6624	236	38	,	,	PUNCT
ejpam-6624	236	39	we	we	PRON
ejpam-6624	236	40	obtain	obtain	VERB
ejpam-6624	236	41	u13(x	u13(x	PROPN
ejpam-6624	236	42	,	,	PUNCT
ejpam-6624	236	43	y	y	PROPN
ejpam-6624	236	44	,	,	PUNCT
ejpam-6624	236	45	t	t	PROPN
ejpam-6624	236	46	)	)	PUNCT
ejpam-6624	236	47	=	=	VERB
ejpam-6624	237	1	∓	∓	NOUN
ejpam-6624	237	2	√	√	ADJ
ejpam-6624	237	3	δs√	δs√	NOUN
ejpam-6624	237	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	237	5	−	−	PROPN
ejpam-6624	237	6	4rk	4rk	NOUN
ejpam-6624	237	7	)	)	PUNCT
ejpam-6624	238	1	∓	∓	NOUN
ejpam-6624	238	2	2	2	NUM
ejpam-6624	238	3	√	√	NOUN
ejpam-6624	238	4	δk√	δk√	VERB
ejpam-6624	238	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	238	6	−	−	PROPN
ejpam-6624	238	7	4rk	4rk	NOUN
ejpam-6624	238	8	)	)	PUNCT
ejpam-6624	239	1	(	(	PUNCT
ejpam-6624	239	2	−	−	PROPN
ejpam-6624	239	3	1	1	NUM
ejpam-6624	239	4	2k	2k	NOUN
ejpam-6624	239	5	(	(	PUNCT
ejpam-6624	239	6	s−	s−	PROPN
ejpam-6624	239	7	√	√	VERB
ejpam-6624	239	8	−φ	−φ	PROPN
ejpam-6624	239	9	tan	tan	PROPN
ejpam-6624	239	10	(	(	PUNCT
ejpam-6624	239	11	√	√	ADP
ejpam-6624	239	12	−φ	−φ	NOUN
ejpam-6624	239	13	2	2	NUM
ejpam-6624	239	14	β	β	NOUN
ejpam-6624	239	15	)	)	PUNCT
ejpam-6624	239	16	)	)	PUNCT
ejpam-6624	239	17	)	)	PUNCT
ejpam-6624	239	18	,	,	PUNCT
ejpam-6624	239	19	(	(	PUNCT
ejpam-6624	239	20	62	62	NUM
ejpam-6624	239	21	)	)	PUNCT
ejpam-6624	239	22	s.	s.	PROPN
ejpam-6624	239	23	phoosree	phoosree	INTJ
ejpam-6624	239	24	et	et	PROPN
ejpam-6624	239	25	al	al	PROPN
ejpam-6624	239	26	.	.	PUNCT
ejpam-6624	239	27	/	/	SYM
ejpam-6624	239	28	eur	eur	PROPN
ejpam-6624	239	29	.	.	PUNCT
ejpam-6624	240	1	j.	j.	PROPN
ejpam-6624	240	2	pure	pure	PROPN
ejpam-6624	240	3	appl	appl	PROPN
ejpam-6624	240	4	.	.	PROPN
ejpam-6624	240	5	math	math	PROPN
ejpam-6624	240	6	,	,	PUNCT
ejpam-6624	240	7	18	18	NUM
ejpam-6624	240	8	(	(	PUNCT
ejpam-6624	240	9	4	4	NUM
ejpam-6624	240	10	)	)	PUNCT
ejpam-6624	240	11	(	(	PUNCT
ejpam-6624	240	12	2025	2025	NUM
ejpam-6624	240	13	)	)	PUNCT
ejpam-6624	240	14	,	,	PUNCT
ejpam-6624	240	15	6624	6624	NUM
ejpam-6624	240	16	12	12	NUM
ejpam-6624	240	17	of	of	ADP
ejpam-6624	240	18	24	24	NUM
ejpam-6624	240	19	u14(x	u14(x	NOUN
ejpam-6624	240	20	,	,	PUNCT
ejpam-6624	240	21	y	y	PROPN
ejpam-6624	240	22	,	,	PUNCT
ejpam-6624	240	23	t	t	PROPN
ejpam-6624	240	24	)	)	PUNCT
ejpam-6624	240	25	=	=	VERB
ejpam-6624	241	1	∓	∓	NOUN
ejpam-6624	241	2	√	√	ADJ
ejpam-6624	241	3	δs√	δs√	NOUN
ejpam-6624	241	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	241	5	−	−	PROPN
ejpam-6624	241	6	4rk	4rk	NOUN
ejpam-6624	241	7	)	)	PUNCT
ejpam-6624	242	1	∓	∓	NOUN
ejpam-6624	242	2	2	2	NUM
ejpam-6624	242	3	√	√	NOUN
ejpam-6624	242	4	δk√	δk√	VERB
ejpam-6624	242	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	242	6	−	−	PROPN
ejpam-6624	242	7	4rk	4rk	NOUN
ejpam-6624	242	8	)	)	PUNCT
ejpam-6624	243	1	(	(	PUNCT
ejpam-6624	243	2	−	−	PROPN
ejpam-6624	243	3	1	1	NUM
ejpam-6624	243	4	2k	2k	NOUN
ejpam-6624	243	5	(	(	PUNCT
ejpam-6624	243	6	s+	s+	ADV
ejpam-6624	243	7	√	√	VERB
ejpam-6624	243	8	−φ	−φ	NOUN
ejpam-6624	243	9	cot	cot	NOUN
ejpam-6624	243	10	(	(	PUNCT
ejpam-6624	243	11	√	√	ADP
ejpam-6624	243	12	−φ	−φ	NOUN
ejpam-6624	243	13	2	2	NUM
ejpam-6624	243	14	β	β	NOUN
ejpam-6624	243	15	)	)	PUNCT
ejpam-6624	243	16	)	)	PUNCT
ejpam-6624	243	17	)	)	PUNCT
ejpam-6624	243	18	,	,	PUNCT
ejpam-6624	243	19	(	(	PUNCT
ejpam-6624	243	20	63	63	NUM
ejpam-6624	243	21	)	)	PUNCT
ejpam-6624	243	22	u15(x	u15(x	PROPN
ejpam-6624	243	23	,	,	PUNCT
ejpam-6624	243	24	y	y	PROPN
ejpam-6624	243	25	,	,	PUNCT
ejpam-6624	243	26	t	t	PROPN
ejpam-6624	243	27	)	)	PUNCT
ejpam-6624	243	28	=	=	VERB
ejpam-6624	244	1	∓	∓	NOUN
ejpam-6624	244	2	√	√	ADJ
ejpam-6624	244	3	δs√	δs√	NOUN
ejpam-6624	244	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	244	5	−	−	PROPN
ejpam-6624	244	6	4rk	4rk	NOUN
ejpam-6624	244	7	)	)	PUNCT
ejpam-6624	245	1	∓	∓	NOUN
ejpam-6624	245	2	2	2	NUM
ejpam-6624	245	3	√	√	NOUN
ejpam-6624	245	4	δk√	δk√	VERB
ejpam-6624	245	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	245	6	−	−	PROPN
ejpam-6624	245	7	4rk	4rk	NOUN
ejpam-6624	245	8	)	)	PUNCT
ejpam-6624	246	1	(	(	PUNCT
ejpam-6624	246	2	−	−	PROPN
ejpam-6624	246	3	1	1	NUM
ejpam-6624	246	4	2k	2k	NOUN
ejpam-6624	246	5	(	(	PUNCT
ejpam-6624	246	6	s−	s−	PROPN
ejpam-6624	246	7	√	√	VERB
ejpam-6624	246	8	−φ	−φ	NOUN
ejpam-6624	246	9	(	(	PUNCT
ejpam-6624	246	10	tan	tan	PROPN
ejpam-6624	246	11	(	(	PUNCT
ejpam-6624	246	12	√	√	PROPN
ejpam-6624	246	13	−φβ	−φβ	ADV
ejpam-6624	246	14	)	)	PUNCT
ejpam-6624	246	15	±	±	PROPN
ejpam-6624	246	16	sec	sec	PROPN
ejpam-6624	246	17	(	(	PUNCT
ejpam-6624	246	18	√	√	NOUN
ejpam-6624	246	19	−φβ	−φβ	NUM
ejpam-6624	246	20	)	)	PUNCT
ejpam-6624	246	21	)	)	PUNCT
ejpam-6624	246	22	)	)	PUNCT
ejpam-6624	246	23	)	)	PUNCT
ejpam-6624	246	24	,	,	PUNCT
ejpam-6624	246	25	(	(	PUNCT
ejpam-6624	246	26	64	64	NUM
ejpam-6624	246	27	)	)	PUNCT
ejpam-6624	246	28	u16(x	u16(x	NOUN
ejpam-6624	246	29	,	,	PUNCT
ejpam-6624	246	30	y	y	PROPN
ejpam-6624	246	31	,	,	PUNCT
ejpam-6624	246	32	t	t	PROPN
ejpam-6624	246	33	)	)	PUNCT
ejpam-6624	246	34	=	=	VERB
ejpam-6624	247	1	∓	∓	NOUN
ejpam-6624	247	2	√	√	ADJ
ejpam-6624	247	3	δs√	δs√	NOUN
ejpam-6624	247	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	247	5	−	−	PROPN
ejpam-6624	247	6	4rk	4rk	NOUN
ejpam-6624	247	7	)	)	PUNCT
ejpam-6624	248	1	∓	∓	NOUN
ejpam-6624	248	2	2	2	NUM
ejpam-6624	248	3	√	√	NOUN
ejpam-6624	248	4	δk√	δk√	VERB
ejpam-6624	248	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	248	6	−	−	PROPN
ejpam-6624	248	7	4rk	4rk	NOUN
ejpam-6624	248	8	)	)	PUNCT
ejpam-6624	249	1	(	(	PUNCT
ejpam-6624	249	2	−	−	PROPN
ejpam-6624	249	3	1	1	NUM
ejpam-6624	249	4	2k	2k	NOUN
ejpam-6624	249	5	(	(	PUNCT
ejpam-6624	249	6	s+	s+	ADV
ejpam-6624	249	7	√	√	VERB
ejpam-6624	249	8	−φ	−φ	NOUN
ejpam-6624	249	9	(	(	PUNCT
ejpam-6624	249	10	cot	cot	NOUN
ejpam-6624	249	11	(	(	PUNCT
ejpam-6624	249	12	√	√	NOUN
ejpam-6624	249	13	−φβ	−φβ	ADV
ejpam-6624	249	14	)	)	PUNCT
ejpam-6624	249	15	±	±	PROPN
ejpam-6624	250	1	csc	csc	PROPN
ejpam-6624	250	2	(	(	PUNCT
ejpam-6624	250	3	√	√	PROPN
ejpam-6624	250	4	−φβ	−φβ	NUM
ejpam-6624	250	5	)	)	PUNCT
ejpam-6624	250	6	)	)	PUNCT
ejpam-6624	250	7	)	)	PUNCT
ejpam-6624	250	8	)	)	PUNCT
ejpam-6624	250	9	,	,	PUNCT
ejpam-6624	250	10	(	(	PUNCT
ejpam-6624	250	11	65	65	NUM
ejpam-6624	250	12	)	)	PUNCT
ejpam-6624	250	13	u17(x	u17(x	PROPN
ejpam-6624	250	14	,	,	PUNCT
ejpam-6624	250	15	y	y	PROPN
ejpam-6624	250	16	,	,	PUNCT
ejpam-6624	250	17	t	t	PROPN
ejpam-6624	250	18	)	)	PUNCT
ejpam-6624	250	19	=	=	VERB
ejpam-6624	251	1	∓	∓	NOUN
ejpam-6624	251	2	√	√	ADJ
ejpam-6624	251	3	δs√	δs√	NOUN
ejpam-6624	251	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	251	5	−	−	PROPN
ejpam-6624	251	6	4rk	4rk	NOUN
ejpam-6624	251	7	)	)	PUNCT
ejpam-6624	252	1	∓	∓	NOUN
ejpam-6624	252	2	2	2	NUM
ejpam-6624	252	3	√	√	NOUN
ejpam-6624	252	4	δk√	δk√	VERB
ejpam-6624	252	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	252	6	−	−	PROPN
ejpam-6624	252	7	4rk	4rk	NOUN
ejpam-6624	252	8	)	)	PUNCT
ejpam-6624	253	1	(	(	PUNCT
ejpam-6624	253	2	−	−	PROPN
ejpam-6624	253	3	1	1	NUM
ejpam-6624	253	4	4k	4k	NOUN
ejpam-6624	253	5	(	(	PUNCT
ejpam-6624	253	6	2s−	2s−	NUM
ejpam-6624	253	7	√	√	NOUN
ejpam-6624	253	8	−φ	−φ	NOUN
ejpam-6624	253	9	(	(	PUNCT
ejpam-6624	253	10	tan	tan	PROPN
ejpam-6624	253	11	(	(	PUNCT
ejpam-6624	253	12	√	√	PROPN
ejpam-6624	253	13	−φ	−φ	NOUN
ejpam-6624	253	14	4	4	NUM
ejpam-6624	253	15	β	β	NOUN
ejpam-6624	253	16	)	)	PUNCT
ejpam-6624	253	17	−	−	PROPN
ejpam-6624	254	1	cot	cot	NOUN
ejpam-6624	254	2	(	(	PUNCT
ejpam-6624	254	3	√	√	VERB
ejpam-6624	254	4	−φ	−φ	NOUN
ejpam-6624	254	5	4	4	NUM
ejpam-6624	254	6	β	β	NOUN
ejpam-6624	254	7	)	)	PUNCT
ejpam-6624	254	8	)	)	PUNCT
ejpam-6624	254	9	)	)	PUNCT
ejpam-6624	254	10	)	)	PUNCT
ejpam-6624	254	11	,	,	PUNCT
ejpam-6624	254	12	(	(	PUNCT
ejpam-6624	254	13	66	66	NUM
ejpam-6624	254	14	)	)	PUNCT
ejpam-6624	254	15	u18(x	u18(x	NOUN
ejpam-6624	254	16	,	,	PUNCT
ejpam-6624	254	17	y	y	PROPN
ejpam-6624	254	18	,	,	PUNCT
ejpam-6624	254	19	t	t	PROPN
ejpam-6624	254	20	)	)	PUNCT
ejpam-6624	254	21	=	=	VERB
ejpam-6624	255	1	∓	∓	NOUN
ejpam-6624	255	2	√	√	ADJ
ejpam-6624	255	3	δs√	δs√	NOUN
ejpam-6624	255	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	255	5	−	−	PROPN
ejpam-6624	255	6	4rk	4rk	NOUN
ejpam-6624	255	7	)	)	PUNCT
ejpam-6624	256	1	∓	∓	NOUN
ejpam-6624	256	2	2	2	NUM
ejpam-6624	256	3	√	√	NOUN
ejpam-6624	256	4	δk√	δk√	VERB
ejpam-6624	256	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	256	6	−	−	PROPN
ejpam-6624	256	7	4rk	4rk	NOUN
ejpam-6624	256	8	)	)	PUNCT
ejpam-6624	257	1	(	(	PUNCT
ejpam-6624	257	2	−	−	PROPN
ejpam-6624	257	3	1	1	NUM
ejpam-6624	257	4	2k	2k	NOUN
ejpam-6624	257	5	(	(	PUNCT
ejpam-6624	257	6	s−	s−	PROPN
ejpam-6624	257	7	±	±	PROPN
ejpam-6624	257	8	√	√	PROPN
ejpam-6624	257	9	−φ(µ2	−φ(µ2	PROPN
ejpam-6624	257	10	−	−	PROPN
ejpam-6624	257	11	σ2)−	σ2)−	PROPN
ejpam-6624	257	12	µ	µ	X
ejpam-6624	257	13	√	√	PROPN
ejpam-6624	257	14	−φ	−φ	PROPN
ejpam-6624	257	15	cos	cos	PROPN
ejpam-6624	257	16	(	(	PUNCT
ejpam-6624	257	17	√	√	NUM
ejpam-6624	257	18	−φβ	−φβ	NUM
ejpam-6624	257	19	)	)	PUNCT
ejpam-6624	257	20	µ	µ	X
ejpam-6624	257	21	sin	sin	NOUN
ejpam-6624	257	22	(	(	PUNCT
ejpam-6624	257	23	√	√	NUM
ejpam-6624	257	24	−φβ	−φβ	NUM
ejpam-6624	257	25	)	)	PUNCT
ejpam-6624	258	1	+	+	CCONJ
ejpam-6624	258	2	σ	σ	NOUN
ejpam-6624	258	3	)	)	PUNCT
ejpam-6624	258	4	)	)	PUNCT
ejpam-6624	258	5	,	,	PUNCT
ejpam-6624	258	6	(	(	PUNCT
ejpam-6624	258	7	67	67	X
ejpam-6624	258	8	)	)	PUNCT
ejpam-6624	258	9	u19(x	u19(x	NOUN
ejpam-6624	258	10	,	,	PUNCT
ejpam-6624	258	11	y	y	PROPN
ejpam-6624	258	12	,	,	PUNCT
ejpam-6624	258	13	t	t	PROPN
ejpam-6624	258	14	)	)	PUNCT
ejpam-6624	259	1	=	=	VERB
ejpam-6624	259	2	∓	∓	NOUN
ejpam-6624	259	3	√	√	ADJ
ejpam-6624	259	4	δs√	δs√	NOUN
ejpam-6624	259	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	259	6	−	−	PROPN
ejpam-6624	259	7	4rk	4rk	NOUN
ejpam-6624	259	8	)	)	PUNCT
ejpam-6624	260	1	∓	∓	NOUN
ejpam-6624	260	2	2	2	NUM
ejpam-6624	260	3	√	√	NOUN
ejpam-6624	260	4	δk√	δk√	VERB
ejpam-6624	260	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	260	6	−	−	PROPN
ejpam-6624	260	7	4rk	4rk	NOUN
ejpam-6624	260	8	)	)	PUNCT
ejpam-6624	261	1	(	(	PUNCT
ejpam-6624	261	2	−	−	PROPN
ejpam-6624	261	3	1	1	NUM
ejpam-6624	261	4	2k	2k	NOUN
ejpam-6624	261	5	(	(	PUNCT
ejpam-6624	261	6	s+	s+	NUM
ejpam-6624	261	7	±	±	NUM
ejpam-6624	261	8	√	√	PROPN
ejpam-6624	261	9	−φ(µ2	−φ(µ2	PROPN
ejpam-6624	261	10	−	−	PROPN
ejpam-6624	261	11	σ2	σ2	PROPN
ejpam-6624	261	12	)	)	PUNCT
ejpam-6624	261	13	+	+	NUM
ejpam-6624	261	14	µ	µ	X
ejpam-6624	261	15	√	√	NUM
ejpam-6624	261	16	−φ	−φ	NOUN
ejpam-6624	261	17	sin	sin	NOUN
ejpam-6624	261	18	(	(	PUNCT
ejpam-6624	261	19	√	√	NUM
ejpam-6624	261	20	−φβ	−φβ	NUM
ejpam-6624	261	21	)	)	PUNCT
ejpam-6624	261	22	µ	µ	X
ejpam-6624	261	23	cos	cos	X
ejpam-6624	261	24	(	(	PUNCT
ejpam-6624	261	25	√	√	PROPN
ejpam-6624	261	26	−φβ	−φβ	NUM
ejpam-6624	261	27	)	)	PUNCT
ejpam-6624	262	1	+	+	CCONJ
ejpam-6624	262	2	σ	σ	NOUN
ejpam-6624	262	3	)	)	PUNCT
ejpam-6624	262	4	)	)	PUNCT
ejpam-6624	263	1	,	,	PUNCT
ejpam-6624	263	2	(	(	PUNCT
ejpam-6624	263	3	68	68	NUM
ejpam-6624	263	4	)	)	PUNCT
ejpam-6624	263	5	s.	s.	PROPN
ejpam-6624	263	6	phoosree	phoosree	INTJ
ejpam-6624	263	7	et	et	PROPN
ejpam-6624	263	8	al	al	PROPN
ejpam-6624	263	9	.	.	PUNCT
ejpam-6624	263	10	/	/	SYM
ejpam-6624	263	11	eur	eur	PROPN
ejpam-6624	263	12	.	.	PUNCT
ejpam-6624	264	1	j.	j.	PROPN
ejpam-6624	264	2	pure	pure	PROPN
ejpam-6624	264	3	appl	appl	PROPN
ejpam-6624	264	4	.	.	PROPN
ejpam-6624	264	5	math	math	PROPN
ejpam-6624	264	6	,	,	PUNCT
ejpam-6624	264	7	18	18	NUM
ejpam-6624	264	8	(	(	PUNCT
ejpam-6624	264	9	4	4	NUM
ejpam-6624	264	10	)	)	PUNCT
ejpam-6624	264	11	(	(	PUNCT
ejpam-6624	264	12	2025	2025	NUM
ejpam-6624	264	13	)	)	PUNCT
ejpam-6624	264	14	,	,	PUNCT
ejpam-6624	264	15	6624	6624	NUM
ejpam-6624	264	16	13	13	NUM
ejpam-6624	264	17	of	of	ADP
ejpam-6624	264	18	24	24	NUM
ejpam-6624	264	19	where	where	SCONJ
ejpam-6624	264	20	µ	µ	NOUN
ejpam-6624	264	21	and	and	CCONJ
ejpam-6624	264	22	σ	σ	PROPN
ejpam-6624	264	23	are	be	AUX
ejpam-6624	264	24	two	two	NUM
ejpam-6624	264	25	real	real	ADJ
ejpam-6624	264	26	constants	constant	NOUN
ejpam-6624	264	27	that	that	PRON
ejpam-6624	264	28	are	be	AUX
ejpam-6624	264	29	not	not	PART
ejpam-6624	264	30	zero	zero	NUM
ejpam-6624	264	31	,	,	PUNCT
ejpam-6624	264	32	and	and	CCONJ
ejpam-6624	264	33	they	they	PRON
ejpam-6624	264	34	meet	meet	VERB
ejpam-6624	264	35	the	the	DET
ejpam-6624	264	36	condition	condition	NOUN
ejpam-6624	264	37	that	that	PRON
ejpam-6624	264	38	µ2	µ2	PROPN
ejpam-6624	264	39	−	−	PROPN
ejpam-6624	264	40	σ2	σ2	PROPN
ejpam-6624	264	41	>	>	X
ejpam-6624	264	42	0	0	PROPN
ejpam-6624	264	43	.	.	PUNCT
ejpam-6624	265	1	u20(x	u20(x	PROPN
ejpam-6624	265	2	,	,	PUNCT
ejpam-6624	265	3	y	y	PROPN
ejpam-6624	265	4	,	,	PUNCT
ejpam-6624	265	5	t	t	PROPN
ejpam-6624	265	6	)	)	PUNCT
ejpam-6624	265	7	=	=	VERB
ejpam-6624	266	1	∓	∓	NOUN
ejpam-6624	266	2	√	√	ADJ
ejpam-6624	266	3	δs√	δs√	NOUN
ejpam-6624	266	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	266	5	−	−	PROPN
ejpam-6624	266	6	4rk	4rk	NOUN
ejpam-6624	266	7	)	)	PUNCT
ejpam-6624	267	1	∓	∓	NOUN
ejpam-6624	267	2	2	2	NUM
ejpam-6624	267	3	√	√	NOUN
ejpam-6624	267	4	δk√	δk√	VERB
ejpam-6624	267	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	267	6	−	−	PROPN
ejpam-6624	267	7	4rk	4rk	NOUN
ejpam-6624	267	8	)	)	PUNCT
ejpam-6624	267	9			PROPN
ejpam-6624	267	10	−2r	−2r	PROPN
ejpam-6624	267	11	cos	cos	PROPN
ejpam-6624	267	12	(	(	PUNCT
ejpam-6624	267	13	√	√	PROPN
ejpam-6624	267	14	−φ	−φ	NOUN
ejpam-6624	267	15	2	2	NUM
ejpam-6624	267	16	β	β	X
ejpam-6624	267	17	)	)	PUNCT
ejpam-6624	267	18	√	√	VERB
ejpam-6624	267	19	−φ	−φ	NOUN
ejpam-6624	267	20	sin	sin	NOUN
ejpam-6624	267	21	(	(	PUNCT
ejpam-6624	267	22	√	√	ADP
ejpam-6624	267	23	−φ	−φ	NOUN
ejpam-6624	267	24	2	2	NUM
ejpam-6624	267	25	β	β	X
ejpam-6624	267	26	)	)	PUNCT
ejpam-6624	268	1	+	+	CCONJ
ejpam-6624	268	2	s	s	VERB
ejpam-6624	268	3	cos	cos	NOUN
ejpam-6624	268	4	(	(	PUNCT
ejpam-6624	268	5	√	√	ADP
ejpam-6624	268	6	−φ	−φ	NOUN
ejpam-6624	268	7	2	2	NUM
ejpam-6624	268	8	β	β	NOUN
ejpam-6624	268	9	)	)	PUNCT
ejpam-6624	268	10			NOUN
ejpam-6624	268	11	,	,	PUNCT
ejpam-6624	268	12	(	(	PUNCT
ejpam-6624	268	13	69	69	NUM
ejpam-6624	268	14	)	)	PUNCT
ejpam-6624	268	15	u21(x	u21(x	NOUN
ejpam-6624	268	16	,	,	PUNCT
ejpam-6624	268	17	y	y	PROPN
ejpam-6624	268	18	,	,	PUNCT
ejpam-6624	268	19	t	t	PROPN
ejpam-6624	268	20	)	)	PUNCT
ejpam-6624	268	21	=	=	VERB
ejpam-6624	269	1	∓	∓	NOUN
ejpam-6624	269	2	√	√	ADJ
ejpam-6624	269	3	δs√	δs√	NOUN
ejpam-6624	269	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	269	5	−	−	PROPN
ejpam-6624	269	6	4rk	4rk	NOUN
ejpam-6624	269	7	)	)	PUNCT
ejpam-6624	270	1	∓	∓	NOUN
ejpam-6624	270	2	2	2	NUM
ejpam-6624	270	3	√	√	NOUN
ejpam-6624	270	4	δk√	δk√	VERB
ejpam-6624	270	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	270	6	−	−	PROPN
ejpam-6624	270	7	4rk	4rk	NOUN
ejpam-6624	270	8	)	)	PUNCT
ejpam-6624	270	9			PROPN
ejpam-6624	270	10	2r	2r	NUM
ejpam-6624	270	11	sin	sin	NOUN
ejpam-6624	270	12	(	(	PUNCT
ejpam-6624	270	13	√	√	ADP
ejpam-6624	270	14	−φ	−φ	NOUN
ejpam-6624	270	15	2	2	NUM
ejpam-6624	270	16	β	β	NOUN
ejpam-6624	270	17	)	)	PUNCT
ejpam-6624	270	18	−s	−s	NOUN
ejpam-6624	270	19	sin	sin	NOUN
ejpam-6624	270	20	(	(	PUNCT
ejpam-6624	270	21	√	√	ADP
ejpam-6624	270	22	−φ	−φ	NOUN
ejpam-6624	270	23	2	2	NUM
ejpam-6624	270	24	β	β	X
ejpam-6624	270	25	)	)	PUNCT
ejpam-6624	271	1	+	+	CCONJ
ejpam-6624	271	2	√	√	ADP
ejpam-6624	271	3	−φ	−φ	NOUN
ejpam-6624	271	4	cos	cos	PROPN
ejpam-6624	271	5	(	(	PUNCT
ejpam-6624	271	6	√	√	ADP
ejpam-6624	271	7	−φ	−φ	NOUN
ejpam-6624	271	8	2	2	NUM
ejpam-6624	271	9	β	β	NOUN
ejpam-6624	271	10	)	)	PUNCT
ejpam-6624	271	11			NOUN
ejpam-6624	271	12	,	,	PUNCT
ejpam-6624	271	13	(	(	PUNCT
ejpam-6624	271	14	70	70	NUM
ejpam-6624	271	15	)	)	PUNCT
ejpam-6624	271	16	u22(x	u22(x	PROPN
ejpam-6624	271	17	,	,	PUNCT
ejpam-6624	271	18	y	y	PROPN
ejpam-6624	271	19	,	,	PUNCT
ejpam-6624	271	20	t	t	PROPN
ejpam-6624	271	21	)	)	PUNCT
ejpam-6624	271	22	=	=	VERB
ejpam-6624	272	1	∓	∓	NOUN
ejpam-6624	272	2	√	√	ADJ
ejpam-6624	272	3	δs√	δs√	NOUN
ejpam-6624	272	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	272	5	−	−	PROPN
ejpam-6624	272	6	4rk	4rk	NOUN
ejpam-6624	272	7	)	)	PUNCT
ejpam-6624	273	1	∓	∓	NOUN
ejpam-6624	273	2	2	2	NUM
ejpam-6624	273	3	√	√	NOUN
ejpam-6624	273	4	δk√	δk√	VERB
ejpam-6624	273	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	273	6	−	−	PROPN
ejpam-6624	273	7	4rk	4rk	NOUN
ejpam-6624	273	8	)	)	PUNCT
ejpam-6624	274	1	(	(	PUNCT
ejpam-6624	274	2	−2r	−2r	PROPN
ejpam-6624	274	3	cos	cos	PROPN
ejpam-6624	274	4	(	(	PUNCT
ejpam-6624	274	5	√	√	NUM
ejpam-6624	274	6	−φβ)√	−φβ)√	NOUN
ejpam-6624	274	7	−φ	−φ	NOUN
ejpam-6624	274	8	sin	sin	NOUN
ejpam-6624	274	9	(	(	PUNCT
ejpam-6624	274	10	√	√	NUM
ejpam-6624	274	11	−φβ	−φβ	NUM
ejpam-6624	274	12	)	)	PUNCT
ejpam-6624	275	1	+	+	PRON
ejpam-6624	275	2	s	s	VERB
ejpam-6624	275	3	cos	cos	NOUN
ejpam-6624	275	4	(	(	PUNCT
ejpam-6624	275	5	√	√	ADP
ejpam-6624	275	6	−φβ)±	−φβ)±	PRON
ejpam-6624	275	7	√	√	PROPN
ejpam-6624	275	8	−φ	−φ	NOUN
ejpam-6624	275	9	)	)	PUNCT
ejpam-6624	275	10	,	,	PUNCT
ejpam-6624	275	11	(	(	PUNCT
ejpam-6624	275	12	71	71	NUM
ejpam-6624	275	13	)	)	PUNCT
ejpam-6624	275	14	u23(x	u23(x	NOUN
ejpam-6624	275	15	,	,	PUNCT
ejpam-6624	275	16	y	y	PROPN
ejpam-6624	275	17	,	,	PUNCT
ejpam-6624	275	18	t	t	PROPN
ejpam-6624	275	19	)	)	PUNCT
ejpam-6624	275	20	=	=	VERB
ejpam-6624	276	1	∓	∓	NOUN
ejpam-6624	276	2	√	√	ADJ
ejpam-6624	276	3	δs√	δs√	NOUN
ejpam-6624	276	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	276	5	−	−	PROPN
ejpam-6624	276	6	4rk	4rk	NOUN
ejpam-6624	276	7	)	)	PUNCT
ejpam-6624	277	1	∓	∓	NOUN
ejpam-6624	277	2	2	2	NUM
ejpam-6624	277	3	√	√	NOUN
ejpam-6624	277	4	δk√	δk√	VERB
ejpam-6624	277	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	277	6	−	−	PROPN
ejpam-6624	277	7	4rk	4rk	NOUN
ejpam-6624	277	8	)	)	PUNCT
ejpam-6624	278	1	(	(	PUNCT
ejpam-6624	278	2	2r	2r	NUM
ejpam-6624	278	3	sin	sin	NOUN
ejpam-6624	278	4	(	(	PUNCT
ejpam-6624	278	5	√	√	NUM
ejpam-6624	278	6	−φβ	−φβ	NUM
ejpam-6624	278	7	)	)	PUNCT
ejpam-6624	278	8	−s	−s	NOUN
ejpam-6624	278	9	sin	sin	NOUN
ejpam-6624	278	10	(	(	PUNCT
ejpam-6624	278	11	√	√	NUM
ejpam-6624	278	12	−φβ	−φβ	NUM
ejpam-6624	278	13	)	)	PUNCT
ejpam-6624	279	1	+	+	CCONJ
ejpam-6624	279	2	√	√	ADP
ejpam-6624	279	3	−φ	−φ	NOUN
ejpam-6624	279	4	cos	cos	PROPN
ejpam-6624	279	5	(	(	PUNCT
ejpam-6624	279	6	√	√	VERB
ejpam-6624	279	7	−φβ)±	−φβ)±	PRON
ejpam-6624	279	8	√	√	PROPN
ejpam-6624	279	9	−φ	−φ	NOUN
ejpam-6624	279	10	)	)	PUNCT
ejpam-6624	279	11	,	,	PUNCT
ejpam-6624	279	12	(	(	PUNCT
ejpam-6624	279	13	72	72	X
ejpam-6624	279	14	)	)	PUNCT
ejpam-6624	279	15	u24(x	u24(x	NOUN
ejpam-6624	279	16	,	,	PUNCT
ejpam-6624	279	17	y	y	PROPN
ejpam-6624	279	18	,	,	PUNCT
ejpam-6624	279	19	t	t	PROPN
ejpam-6624	279	20	)	)	PUNCT
ejpam-6624	279	21	=	=	VERB
ejpam-6624	280	1	∓	∓	NOUN
ejpam-6624	280	2	√	√	ADJ
ejpam-6624	280	3	δs√	δs√	NOUN
ejpam-6624	280	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	280	5	−	−	PROPN
ejpam-6624	280	6	4rk	4rk	NOUN
ejpam-6624	280	7	)	)	PUNCT
ejpam-6624	281	1	∓	∓	NOUN
ejpam-6624	281	2	2	2	NUM
ejpam-6624	281	3	√	√	NOUN
ejpam-6624	281	4	δk√	δk√	VERB
ejpam-6624	281	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	281	6	−	−	PROPN
ejpam-6624	281	7	4rk	4rk	NOUN
ejpam-6624	281	8	)	)	PUNCT
ejpam-6624	281	9			PROPN
ejpam-6624	281	10	4r	4r	NUM
ejpam-6624	281	11	sin	sin	NOUN
ejpam-6624	281	12	(	(	PUNCT
ejpam-6624	281	13	√	√	ADP
ejpam-6624	281	14	−φ	−φ	NOUN
ejpam-6624	281	15	4	4	NUM
ejpam-6624	281	16	β	β	NOUN
ejpam-6624	281	17	)	)	PUNCT
ejpam-6624	281	18	cos	cos	PROPN
ejpam-6624	281	19	(	(	PUNCT
ejpam-6624	281	20	√	√	ADP
ejpam-6624	281	21	−φ	−φ	NOUN
ejpam-6624	281	22	4	4	NUM
ejpam-6624	281	23	β	β	NOUN
ejpam-6624	281	24	)	)	PUNCT
ejpam-6624	282	1	−2s	−2s	PROPN
ejpam-6624	282	2	sin	sin	NOUN
ejpam-6624	282	3	(	(	PUNCT
ejpam-6624	282	4	√	√	VERB
ejpam-6624	282	5	−φ	−φ	NOUN
ejpam-6624	282	6	4	4	NUM
ejpam-6624	282	7	β	β	NOUN
ejpam-6624	282	8	)	)	PUNCT
ejpam-6624	282	9	cos	cos	PROPN
ejpam-6624	282	10	(	(	PUNCT
ejpam-6624	282	11	√	√	ADP
ejpam-6624	282	12	−φ	−φ	NOUN
ejpam-6624	282	13	4	4	NUM
ejpam-6624	282	14	β	β	NOUN
ejpam-6624	282	15	)	)	PUNCT
ejpam-6624	283	1	+	+	CCONJ
ejpam-6624	283	2	2	2	NUM
ejpam-6624	283	3	√	√	NUM
ejpam-6624	283	4	−φ	−φ	NOUN
ejpam-6624	283	5	cos2	cos2	NOUN
ejpam-6624	283	6	(	(	PUNCT
ejpam-6624	283	7	√	√	ADP
ejpam-6624	283	8	−φ	−φ	NOUN
ejpam-6624	283	9	4	4	NUM
ejpam-6624	283	10	β	β	NOUN
ejpam-6624	283	11	)	)	PUNCT
ejpam-6624	284	1	−	−	ADP
ejpam-6624	284	2	√	√	NUM
ejpam-6624	285	1	−φ	−φ	NUM
ejpam-6624	285	2			NOUN
ejpam-6624	285	3	,	,	PUNCT
ejpam-6624	285	4	(	(	PUNCT
ejpam-6624	285	5	73	73	NUM
ejpam-6624	285	6	)	)	PUNCT
ejpam-6624	285	7	type	type	NOUN
ejpam-6624	285	8	iii	iii	NOUN
ejpam-6624	285	9	:	:	PUNCT
ejpam-6624	285	10	when	when	SCONJ
ejpam-6624	285	11	r	r	NOUN
ejpam-6624	285	12	=	=	SYM
ejpam-6624	285	13	0	0	NUM
ejpam-6624	285	14	and	and	CCONJ
ejpam-6624	285	15	sk	sk	ADP
ejpam-6624	285	16	̸=	̸=	PROPN
ejpam-6624	285	17	0	0	NUM
ejpam-6624	285	18	,	,	PUNCT
ejpam-6624	285	19	we	we	PRON
ejpam-6624	285	20	get	get	VERB
ejpam-6624	285	21	u25(x	u25(x	NOUN
ejpam-6624	285	22	,	,	PUNCT
ejpam-6624	285	23	y	y	PROPN
ejpam-6624	285	24	,	,	PUNCT
ejpam-6624	285	25	t	t	PROPN
ejpam-6624	285	26	)	)	PUNCT
ejpam-6624	285	27	=	=	VERB
ejpam-6624	286	1	∓	∓	NOUN
ejpam-6624	286	2	√	√	ADJ
ejpam-6624	286	3	δs√	δs√	NOUN
ejpam-6624	286	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	286	5	−	−	PROPN
ejpam-6624	286	6	4rk	4rk	NOUN
ejpam-6624	286	7	)	)	PUNCT
ejpam-6624	287	1	∓	∓	NOUN
ejpam-6624	287	2	2	2	NUM
ejpam-6624	287	3	√	√	NOUN
ejpam-6624	287	4	δk√	δk√	VERB
ejpam-6624	287	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	287	6	−	−	PROPN
ejpam-6624	287	7	4rk	4rk	NOUN
ejpam-6624	287	8	)	)	PUNCT
ejpam-6624	288	1	(	(	PUNCT
ejpam-6624	288	2	−sψ	−sψ	ADJ
ejpam-6624	288	3	k(ψ	k(ψ	PROPN
ejpam-6624	288	4	+	+	PROPN
ejpam-6624	288	5	cosh(sβ)−	cosh(sβ)−	PROPN
ejpam-6624	288	6	sinh(sβ	sinh(sβ	NOUN
ejpam-6624	288	7	)	)	PUNCT
ejpam-6624	288	8	)	)	PUNCT
ejpam-6624	288	9	)	)	PUNCT
ejpam-6624	288	10	,	,	PUNCT
ejpam-6624	288	11	(	(	PUNCT
ejpam-6624	288	12	74	74	X
ejpam-6624	288	13	)	)	PUNCT
ejpam-6624	288	14	s.	s.	PROPN
ejpam-6624	288	15	phoosree	phoosree	INTJ
ejpam-6624	288	16	et	et	PROPN
ejpam-6624	288	17	al	al	PROPN
ejpam-6624	288	18	.	.	PUNCT
ejpam-6624	288	19	/	/	SYM
ejpam-6624	288	20	eur	eur	PROPN
ejpam-6624	288	21	.	.	PUNCT
ejpam-6624	289	1	j.	j.	PROPN
ejpam-6624	289	2	pure	pure	PROPN
ejpam-6624	289	3	appl	appl	PROPN
ejpam-6624	289	4	.	.	PROPN
ejpam-6624	289	5	math	math	PROPN
ejpam-6624	289	6	,	,	PUNCT
ejpam-6624	289	7	18	18	NUM
ejpam-6624	289	8	(	(	PUNCT
ejpam-6624	289	9	4	4	NUM
ejpam-6624	289	10	)	)	PUNCT
ejpam-6624	289	11	(	(	PUNCT
ejpam-6624	289	12	2025	2025	NUM
ejpam-6624	289	13	)	)	PUNCT
ejpam-6624	289	14	,	,	PUNCT
ejpam-6624	289	15	6624	6624	NUM
ejpam-6624	289	16	14	14	NUM
ejpam-6624	289	17	of	of	ADP
ejpam-6624	289	18	24	24	NUM
ejpam-6624	289	19	u26(x	u26(x	PROPN
ejpam-6624	289	20	,	,	PUNCT
ejpam-6624	289	21	y	y	PROPN
ejpam-6624	289	22	,	,	PUNCT
ejpam-6624	289	23	t	t	PROPN
ejpam-6624	289	24	)	)	PUNCT
ejpam-6624	289	25	=	=	VERB
ejpam-6624	290	1	∓	∓	NOUN
ejpam-6624	290	2	√	√	ADJ
ejpam-6624	290	3	δs√	δs√	NOUN
ejpam-6624	290	4	−λ(s2	−λ(s2	PROPN
ejpam-6624	290	5	−	−	PROPN
ejpam-6624	290	6	4rk	4rk	NOUN
ejpam-6624	290	7	)	)	PUNCT
ejpam-6624	291	1	∓	∓	NOUN
ejpam-6624	291	2	2	2	NUM
ejpam-6624	291	3	√	√	NOUN
ejpam-6624	291	4	δk√	δk√	VERB
ejpam-6624	291	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	291	6	−	−	PROPN
ejpam-6624	291	7	4rk	4rk	NOUN
ejpam-6624	291	8	)	)	PUNCT
ejpam-6624	291	9	(	(	PUNCT
ejpam-6624	291	10	−s(cosh(sβ	−s(cosh(sβ	NOUN
ejpam-6624	291	11	)	)	PUNCT
ejpam-6624	292	1	+	+	CCONJ
ejpam-6624	292	2	sinh(sβ	sinh(sβ	NOUN
ejpam-6624	292	3	)	)	PUNCT
ejpam-6624	292	4	)	)	PUNCT
ejpam-6624	293	1	k(ψ	k(ψ	PROPN
ejpam-6624	293	2	+	+	PROPN
ejpam-6624	293	3	cosh(sβ)−	cosh(sβ)−	PROPN
ejpam-6624	293	4	sinh(sβ	sinh(sβ	NOUN
ejpam-6624	293	5	)	)	PUNCT
ejpam-6624	293	6	)	)	PUNCT
ejpam-6624	293	7	)	)	PUNCT
ejpam-6624	293	8	,	,	PUNCT
ejpam-6624	293	9	(	(	PUNCT
ejpam-6624	293	10	75	75	NUM
ejpam-6624	293	11	)	)	PUNCT
ejpam-6624	293	12	for	for	ADP
ejpam-6624	293	13	any	any	DET
ejpam-6624	293	14	constant	constant	ADJ
ejpam-6624	293	15	ψ	ψ	NOUN
ejpam-6624	293	16	that	that	PRON
ejpam-6624	293	17	is	be	AUX
ejpam-6624	293	18	arbitrary	arbitrary	ADJ
ejpam-6624	293	19	.	.	PUNCT
ejpam-6624	294	1	type	type	NOUN
ejpam-6624	294	2	iv	iv	NOUN
ejpam-6624	294	3	:	:	PUNCT
ejpam-6624	294	4	when	when	SCONJ
ejpam-6624	294	5	r	r	NOUN
ejpam-6624	294	6	=	=	SYM
ejpam-6624	294	7	s	s	NOUN
ejpam-6624	294	8	=	=	NOUN
ejpam-6624	294	9	0	0	PROPN
ejpam-6624	294	10	and	and	CCONJ
ejpam-6624	294	11	k	k	PROPN
ejpam-6624	294	12	̸=	̸=	PROPN
ejpam-6624	294	13	0	0	NUM
ejpam-6624	294	14	,	,	PUNCT
ejpam-6624	294	15	we	we	PRON
ejpam-6624	294	16	get	get	VERB
ejpam-6624	294	17	u27(x	u27(x	NOUN
ejpam-6624	294	18	,	,	PUNCT
ejpam-6624	294	19	y	y	PROPN
ejpam-6624	294	20	,	,	PUNCT
ejpam-6624	294	21	t	t	PROPN
ejpam-6624	294	22	)	)	PUNCT
ejpam-6624	295	1	=	=	VERB
ejpam-6624	295	2	∓	∓	NOUN
ejpam-6624	295	3	√	√	ADJ
ejpam-6624	295	4	δs√	δs√	NOUN
ejpam-6624	295	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	295	6	−	−	PROPN
ejpam-6624	295	7	4rk	4rk	NOUN
ejpam-6624	295	8	)	)	PUNCT
ejpam-6624	296	1	∓	∓	NOUN
ejpam-6624	296	2	2	2	NUM
ejpam-6624	296	3	√	√	NOUN
ejpam-6624	296	4	δk√	δk√	VERB
ejpam-6624	296	5	−λ(s2	−λ(s2	PROPN
ejpam-6624	296	6	−	−	PROPN
ejpam-6624	296	7	4rk	4rk	NOUN
ejpam-6624	296	8	)	)	PUNCT
ejpam-6624	297	1	(	(	PUNCT
ejpam-6624	297	2	−	−	PROPN
ejpam-6624	297	3	1	1	NUM
ejpam-6624	297	4	kβ	kβ	NOUN
ejpam-6624	297	5	+	+	CCONJ
ejpam-6624	297	6	ζ	ζ	NOUN
ejpam-6624	297	7	)	)	PUNCT
ejpam-6624	297	8	.	.	PUNCT
ejpam-6624	298	1	(	(	PUNCT
ejpam-6624	298	2	76	76	NUM
ejpam-6624	298	3	)	)	PUNCT
ejpam-6624	298	4	in	in	ADP
ejpam-6624	298	5	this	this	DET
ejpam-6624	298	6	case	case	NOUN
ejpam-6624	298	7	,	,	PUNCT
ejpam-6624	298	8	ζ	ζ	NOUN
ejpam-6624	298	9	is	be	AUX
ejpam-6624	298	10	a	a	DET
ejpam-6624	298	11	constant	constant	ADJ
ejpam-6624	298	12	that	that	PRON
ejpam-6624	298	13	may	may	AUX
ejpam-6624	298	14	be	be	AUX
ejpam-6624	298	15	selected	select	VERB
ejpam-6624	298	16	with	with	ADP
ejpam-6624	298	17	no	no	DET
ejpam-6624	298	18	limitations	limitation	NOUN
ejpam-6624	298	19	,	,	PUNCT
ejpam-6624	298	20	where	where	SCONJ
ejpam-6624	298	21	β	β	NOUN
ejpam-6624	298	22	=	=	VERB
ejpam-6624	298	23	axα	axα	VERB
ejpam-6624	298	24	γ(α+	γ(α+	DET
ejpam-6624	298	25	1	1	NUM
ejpam-6624	298	26	)	)	PUNCT
ejpam-6624	298	27	+	+	NUM
ejpam-6624	298	28	byα	byα	ADJ
ejpam-6624	298	29	γ(α+	γ(α+	DET
ejpam-6624	298	30	1	1	NUM
ejpam-6624	298	31	)	)	PUNCT
ejpam-6624	298	32	∓	∓	NOUN
ejpam-6624	299	1	√	√	NOUN
ejpam-6624	299	2	−2δ	−2δ	PUNCT
ejpam-6624	300	1	+	+	CCONJ
ejpam-6624	300	2	(	(	PUNCT
ejpam-6624	300	3	a2	a2	PROPN
ejpam-6624	300	4	+	+	CCONJ
ejpam-6624	300	5	b2)(s2	b2)(s2	NOUN
ejpam-6624	301	1	−	−	PROPN
ejpam-6624	301	2	4rk)tα√	4rk)tα√	NUM
ejpam-6624	301	3	−(s2	−(s2	NUM
ejpam-6624	301	4	−	−	PROPN
ejpam-6624	301	5	4rk)γ(α+	4rk)γ(α+	NOUN
ejpam-6624	301	6	1	1	NUM
ejpam-6624	301	7	)	)	PUNCT
ejpam-6624	301	8	.	.	PUNCT
ejpam-6624	302	1	3.2	3.2	NUM
ejpam-6624	302	2	.	.	PUNCT
ejpam-6624	303	1	the	the	DET
ejpam-6624	303	2	space	space	NOUN
ejpam-6624	303	3	-	-	PUNCT
ejpam-6624	303	4	time	time	NOUN
ejpam-6624	303	5	fractional	fractional	ADJ
ejpam-6624	303	6	ablowitz	ablowitz	NOUN
ejpam-6624	303	7	-	-	PUNCT
ejpam-6624	303	8	kaup	kaup	PROPN
ejpam-6624	303	9	-	-	PUNCT
ejpam-6624	303	10	newell	newell	PROPN
ejpam-6624	303	11	-	-	PUNCT
ejpam-6624	303	12	segur	segur	NOUN
ejpam-6624	303	13	equation	equation	NOUN
ejpam-6624	303	14	according	accord	VERB
ejpam-6624	303	15	to	to	ADP
ejpam-6624	303	16	the	the	DET
ejpam-6624	303	17	following	follow	VERB
ejpam-6624	303	18	definition	definition	NOUN
ejpam-6624	303	19	,	,	PUNCT
ejpam-6624	303	20	the	the	DET
ejpam-6624	303	21	nonlinear	nonlinear	ADJ
ejpam-6624	303	22	space	space	NOUN
ejpam-6624	303	23	and	and	CCONJ
ejpam-6624	303	24	time	time	NOUN
ejpam-6624	303	25	fractional	fractional	ADJ
ejpam-6624	303	26	(	(	PUNCT
ejpam-6624	303	27	2	2	NUM
ejpam-6624	303	28	+	+	NOUN
ejpam-6624	303	29	1)dimensional	1)dimensional	NUM
ejpam-6624	303	30	akns	akns	NOUN
ejpam-6624	303	31	equation	equation	NOUN
ejpam-6624	303	32	is	be	AUX
ejpam-6624	303	33	determined	determine	VERB
ejpam-6624	303	34	as	as	SCONJ
ejpam-6624	303	35	follows	follow	VERB
ejpam-6624	303	36	:	:	PUNCT
ejpam-6624	303	37	4dα	4dα	ADJ
ejpam-6624	303	38	t	t	PROPN
ejpam-6624	304	1	d	d	X
ejpam-6624	304	2	α	α	X
ejpam-6624	304	3	xu+dα	xu+dα	PROPN
ejpam-6624	304	4	t	t	PROPN
ejpam-6624	304	5	d	d	NUM
ejpam-6624	304	6	3α	3α	PROPN
ejpam-6624	304	7	xxxu+	xxxu+	NUM
ejpam-6624	304	8	8dα	8dα	NOUN
ejpam-6624	304	9	xud	xud	PROPN
ejpam-6624	305	1	α	α	NOUN
ejpam-6624	305	2	yd	yd	ADP
ejpam-6624	305	3	α	α	PRON
ejpam-6624	305	4	xu+	xu+	NOUN
ejpam-6624	306	1	4d2α	4d2α	NOUN
ejpam-6624	306	2	xxd	xxd	PROPN
ejpam-6624	306	3	α	α	PROPN
ejpam-6624	306	4	y	y	PROPN
ejpam-6624	306	5	u−	u−	PROPN
ejpam-6624	306	6	ξd2α	ξd2α	NOUN
ejpam-6624	306	7	xxu	xxu	PROPN
ejpam-6624	306	8	=	=	NOUN
ejpam-6624	306	9	0	0	NUM
ejpam-6624	306	10	,	,	PUNCT
ejpam-6624	306	11	t	t	X
ejpam-6624	306	12	>	>	X
ejpam-6624	306	13	0	0	NUM
ejpam-6624	306	14	,	,	PUNCT
ejpam-6624	306	15	0	0	NUM
ejpam-6624	306	16	<	<	X
ejpam-6624	306	17	α	α	PROPN
ejpam-6624	306	18	≤	≤	NUM
ejpam-6624	306	19	1	1	NUM
ejpam-6624	306	20	,	,	PUNCT
ejpam-6624	306	21	(	(	PUNCT
ejpam-6624	306	22	77	77	NUM
ejpam-6624	306	23	)	)	PUNCT
ejpam-6624	306	24	in	in	ADP
ejpam-6624	306	25	which	which	PRON
ejpam-6624	306	26	u	u	NOUN
ejpam-6624	306	27	=	=	SYM
ejpam-6624	306	28	u(x	u(x	PROPN
ejpam-6624	306	29	,	,	PUNCT
ejpam-6624	306	30	y	y	PROPN
ejpam-6624	306	31	,	,	PUNCT
ejpam-6624	306	32	t	t	PROPN
ejpam-6624	306	33	)	)	PUNCT
ejpam-6624	306	34	and	and	CCONJ
ejpam-6624	306	35	ξ	ξ	PROPN
ejpam-6624	306	36	is	be	AUX
ejpam-6624	306	37	a	a	DET
ejpam-6624	306	38	constant	constant	ADJ
ejpam-6624	306	39	.	.	PUNCT
ejpam-6624	307	1	comparable	comparable	ADJ
ejpam-6624	307	2	to	to	ADP
ejpam-6624	307	3	the	the	DET
ejpam-6624	307	4	equation	equation	NOUN
ejpam-6624	307	5	that	that	PRON
ejpam-6624	307	6	came	come	VERB
ejpam-6624	307	7	before	before	ADP
ejpam-6624	307	8	it	it	PRON
ejpam-6624	307	9	,	,	PUNCT
ejpam-6624	307	10	we	we	PRON
ejpam-6624	307	11	determine	determine	VERB
ejpam-6624	307	12	the	the	DET
ejpam-6624	307	13	solution	solution	NOUN
ejpam-6624	307	14	and	and	CCONJ
ejpam-6624	307	15	then	then	ADV
ejpam-6624	307	16	become	become	VERB
ejpam-6624	307	17	equation	equation	NOUN
ejpam-6624	307	18	(	(	PUNCT
ejpam-6624	307	19	77	77	NUM
ejpam-6624	307	20	)	)	PUNCT
ejpam-6624	307	21	by	by	ADP
ejpam-6624	307	22	equation	equation	NOUN
ejpam-6624	307	23	(	(	PUNCT
ejpam-6624	307	24	41	41	NUM
ejpam-6624	307	25	)	)	PUNCT
ejpam-6624	307	26	,	,	PUNCT
ejpam-6624	307	27	which	which	PRON
ejpam-6624	307	28	results	result	VERB
ejpam-6624	307	29	in	in	ADP
ejpam-6624	307	30	the	the	DET
ejpam-6624	307	31	following	following	NOUN
ejpam-6624	307	32	:	:	PUNCT
ejpam-6624	307	33	−4ac	−4ac	NOUN
ejpam-6624	307	34	d2u	d2u	ADV
ejpam-6624	307	35	dβ2	dβ2	VERB
ejpam-6624	307	36	−	−	PROPN
ejpam-6624	307	37	a3c	a3c	ADJ
ejpam-6624	307	38	d4u	d4u	NOUN
ejpam-6624	307	39	dβ4	dβ4	VERB
ejpam-6624	307	40	+	+	CCONJ
ejpam-6624	307	41	8a2b	8a2b	NOUN
ejpam-6624	307	42	du	du	NOUN
ejpam-6624	308	1	dβ	dβ	ADV
ejpam-6624	308	2	d2u	d2u	ADV
ejpam-6624	308	3	dβ2	dβ2	PROPN
ejpam-6624	309	1	+	+	CCONJ
ejpam-6624	309	2	4a2b	4a2b	NOUN
ejpam-6624	309	3	du	du	NOUN
ejpam-6624	309	4	dβ	dβ	ADV
ejpam-6624	309	5	d2u	d2u	ADV
ejpam-6624	309	6	dβ2	dβ2	VERB
ejpam-6624	309	7	−	−	PROPN
ejpam-6624	309	8	a2ξ	a2ξ	PRON
ejpam-6624	309	9	d2u	d2u	ADV
ejpam-6624	309	10	dβ2	dβ2	VERB
ejpam-6624	309	11	=	=	SYM
ejpam-6624	309	12	0	0	NUM
ejpam-6624	309	13	,	,	PUNCT
ejpam-6624	309	14	(	(	PUNCT
ejpam-6624	309	15	78	78	NUM
ejpam-6624	309	16	)	)	PUNCT
ejpam-6624	309	17	−(4c+	−(4c+	NOUN
ejpam-6624	309	18	aξ	aξ	PROPN
ejpam-6624	309	19	)	)	PUNCT
ejpam-6624	309	20	d2u	d2u	ADV
ejpam-6624	309	21	dβ2	dβ2	VERB
ejpam-6624	309	22	−	−	NOUN
ejpam-6624	309	23	a2c	a2c	PUNCT
ejpam-6624	309	24	d4u	d4u	NOUN
ejpam-6624	309	25	dβ4	dβ4	VERB
ejpam-6624	309	26	+	+	CCONJ
ejpam-6624	309	27	12ab	12ab	ADJ
ejpam-6624	309	28	du	du	NOUN
ejpam-6624	310	1	dβ	dβ	PROPN
ejpam-6624	310	2	d2u	d2u	ADV
ejpam-6624	310	3	dβ2	dβ2	VERB
ejpam-6624	310	4	=	=	SYM
ejpam-6624	310	5	0	0	X
ejpam-6624	310	6	.	.	PUNCT
ejpam-6624	311	1	(	(	PUNCT
ejpam-6624	311	2	79	79	NUM
ejpam-6624	311	3	)	)	PUNCT
ejpam-6624	311	4	in	in	ADP
ejpam-6624	311	5	order	order	NOUN
ejpam-6624	311	6	to	to	PART
ejpam-6624	311	7	integrate	integrate	VERB
ejpam-6624	311	8	equation	equation	NOUN
ejpam-6624	311	9	(	(	PUNCT
ejpam-6624	311	10	79	79	NUM
ejpam-6624	311	11	)	)	PUNCT
ejpam-6624	311	12	,	,	PUNCT
ejpam-6624	311	13	we	we	PRON
ejpam-6624	311	14	must	must	AUX
ejpam-6624	311	15	first	first	ADV
ejpam-6624	311	16	set	set	VERB
ejpam-6624	311	17	the	the	DET
ejpam-6624	311	18	constant	constant	ADJ
ejpam-6624	311	19	to	to	ADP
ejpam-6624	311	20	zero	zero	NUM
ejpam-6624	311	21	.	.	PUNCT
ejpam-6624	312	1	−(4c+	−(4c+	NOUN
ejpam-6624	312	2	aξ	aξ	PROPN
ejpam-6624	312	3	)	)	PUNCT
ejpam-6624	312	4	du	du	PROPN
ejpam-6624	312	5	dβ	dβ	ADP
ejpam-6624	312	6	−	−	PROPN
ejpam-6624	312	7	a2c	a2c	PUNCT
ejpam-6624	313	1	d3u	d3u	NOUN
ejpam-6624	313	2	dβ3	dβ3	NOUN
ejpam-6624	313	3	+	+	CCONJ
ejpam-6624	313	4	6ab	6ab	ADJ
ejpam-6624	313	5	(	(	PUNCT
ejpam-6624	313	6	du	du	INTJ
ejpam-6624	313	7	dβ	dβ	ADP
ejpam-6624	313	8	)	)	PUNCT
ejpam-6624	314	1	=	=	SYM
ejpam-6624	314	2	0	0	X
ejpam-6624	314	3	.	.	PUNCT
ejpam-6624	315	1	(	(	PUNCT
ejpam-6624	315	2	80	80	NUM
ejpam-6624	315	3	)	)	PUNCT
ejpam-6624	315	4	equation	equation	NOUN
ejpam-6624	315	5	(	(	PUNCT
ejpam-6624	315	6	80	80	NUM
ejpam-6624	315	7	)	)	PUNCT
ejpam-6624	315	8	for	for	ADP
ejpam-6624	315	9	balancing	balance	VERB
ejpam-6624	315	10	,	,	PUNCT
ejpam-6624	315	11	we	we	PRON
ejpam-6624	315	12	obtained	obtain	VERB
ejpam-6624	315	13	the	the	DET
ejpam-6624	315	14	value	value	NOUN
ejpam-6624	315	15	of	of	ADP
ejpam-6624	315	16	n	n	NOUN
ejpam-6624	315	17	=	=	SYM
ejpam-6624	315	18	1	1	NUM
ejpam-6624	315	19	.	.	PUNCT
ejpam-6624	316	1	consequently	consequently	ADV
ejpam-6624	316	2	,	,	PUNCT
ejpam-6624	316	3	equation	equation	NOUN
ejpam-6624	316	4	(	(	PUNCT
ejpam-6624	316	5	11	11	NUM
ejpam-6624	316	6	)	)	PUNCT
ejpam-6624	316	7	turned	turn	VERB
ejpam-6624	316	8	out	out	ADP
ejpam-6624	316	9	to	to	PART
ejpam-6624	316	10	be	be	AUX
ejpam-6624	316	11	u(β	u(β	ADV
ejpam-6624	316	12	)	)	PUNCT
ejpam-6624	317	1	=	=	SYM
ejpam-6624	317	2	ρ0	ρ0	PROPN
ejpam-6624	317	3	+	+	X
ejpam-6624	317	4	ρ1h(β	ρ1h(β	PROPN
ejpam-6624	317	5	)	)	PUNCT
ejpam-6624	317	6	.	.	PUNCT
ejpam-6624	318	1	(	(	PUNCT
ejpam-6624	318	2	81	81	NUM
ejpam-6624	318	3	)	)	PUNCT
ejpam-6624	318	4	the	the	DET
ejpam-6624	318	5	equation	equation	NOUN
ejpam-6624	318	6	(	(	PUNCT
ejpam-6624	318	7	80	80	NUM
ejpam-6624	318	8	)	)	PUNCT
ejpam-6624	318	9	is	be	AUX
ejpam-6624	318	10	being	be	AUX
ejpam-6624	318	11	replaced	replace	VERB
ejpam-6624	318	12	by	by	ADP
ejpam-6624	318	13	the	the	DET
ejpam-6624	318	14	equation	equation	NOUN
ejpam-6624	318	15	(	(	PUNCT
ejpam-6624	318	16	81	81	NUM
ejpam-6624	318	17	)	)	PUNCT
ejpam-6624	318	18	.	.	PUNCT
ejpam-6624	319	1	the	the	DET
ejpam-6624	319	2	process	process	NOUN
ejpam-6624	319	3	of	of	ADP
ejpam-6624	319	4	gathering	gather	VERB
ejpam-6624	319	5	all	all	PRON
ejpam-6624	319	6	of	of	ADP
ejpam-6624	319	7	the	the	DET
ejpam-6624	319	8	terms	term	NOUN
ejpam-6624	319	9	that	that	PRON
ejpam-6624	319	10	have	have	VERB
ejpam-6624	319	11	the	the	DET
ejpam-6624	319	12	same	same	ADJ
ejpam-6624	319	13	power	power	NOUN
ejpam-6624	319	14	of	of	ADP
ejpam-6624	319	15	h(β	h(β	PROPN
ejpam-6624	319	16	)	)	PUNCT
ejpam-6624	319	17	.	.	PUNCT
ejpam-6624	320	1	when	when	SCONJ
ejpam-6624	320	2	we	we	PRON
ejpam-6624	320	3	set	set	VERB
ejpam-6624	320	4	each	each	PRON
ejpam-6624	320	5	of	of	ADP
ejpam-6624	320	6	their	their	PRON
ejpam-6624	320	7	coefficients	coefficient	NOUN
ejpam-6624	320	8	to	to	ADP
ejpam-6624	320	9	zero	zero	NUM
ejpam-6624	320	10	,	,	PUNCT
ejpam-6624	320	11	we	we	PRON
ejpam-6624	320	12	get	get	VERB
ejpam-6624	320	13	the	the	DET
ejpam-6624	320	14	following	following	NOUN
ejpam-6624	320	15	:	:	PUNCT
ejpam-6624	320	16	h0(β	h0(β	X
ejpam-6624	320	17	)	)	PUNCT
ejpam-6624	320	18	:	:	PUNCT
ejpam-6624	321	1	−4cρ1r	−4cρ1r	ADP
ejpam-6624	321	2	−	−	NOUN
ejpam-6624	321	3	aξρ1r	aξρ1r	PROPN
ejpam-6624	321	4	−	−	PROPN
ejpam-6624	321	5	a2cρ1rs	a2cρ1rs	NOUN
ejpam-6624	321	6	2	2	NUM
ejpam-6624	321	7	−	−	NOUN
ejpam-6624	321	8	2a2cρ1r	2a2cρ1r	NUM
ejpam-6624	321	9	2k	2k	NOUN
ejpam-6624	321	10	+	+	CCONJ
ejpam-6624	321	11	6abρ21r	6abρ21r	NUM
ejpam-6624	321	12	2	2	NUM
ejpam-6624	321	13	=	=	SYM
ejpam-6624	321	14	0	0	NUM
ejpam-6624	321	15	,	,	PUNCT
ejpam-6624	321	16	(	(	PUNCT
ejpam-6624	321	17	82	82	NUM
ejpam-6624	321	18	)	)	PUNCT
ejpam-6624	321	19	h1(β	h1(β	PROPN
ejpam-6624	321	20	)	)	PUNCT
ejpam-6624	321	21	:	:	PUNCT
ejpam-6624	321	22	−4cρ1s−	−4cρ1s−	X
ejpam-6624	322	1	aξρ1s−	aξρ1s−	PROPN
ejpam-6624	322	2	a2cρ1s	a2cρ1s	X
ejpam-6624	322	3	3	3	NUM
ejpam-6624	322	4	−	−	PROPN
ejpam-6624	322	5	8a2cρ1rsk	8a2cρ1rsk	NUM
ejpam-6624	322	6	+	+	CCONJ
ejpam-6624	322	7	12abρ21r	12abρ21r	NUM
ejpam-6624	322	8	2	2	NUM
ejpam-6624	322	9	=	=	SYM
ejpam-6624	322	10	0	0	NUM
ejpam-6624	322	11	,	,	PUNCT
ejpam-6624	322	12	(	(	PUNCT
ejpam-6624	322	13	83	83	NUM
ejpam-6624	322	14	)	)	PUNCT
ejpam-6624	323	1	s.	s.	PROPN
ejpam-6624	323	2	phoosree	phoosree	INTJ
ejpam-6624	323	3	et	et	PROPN
ejpam-6624	323	4	al	al	PROPN
ejpam-6624	323	5	.	.	PUNCT
ejpam-6624	323	6	/	/	SYM
ejpam-6624	323	7	eur	eur	PROPN
ejpam-6624	323	8	.	.	PUNCT
ejpam-6624	324	1	j.	j.	PROPN
ejpam-6624	324	2	pure	pure	PROPN
ejpam-6624	324	3	appl	appl	PROPN
ejpam-6624	324	4	.	.	PROPN
ejpam-6624	324	5	math	math	PROPN
ejpam-6624	324	6	,	,	PUNCT
ejpam-6624	324	7	18	18	NUM
ejpam-6624	324	8	(	(	PUNCT
ejpam-6624	324	9	4	4	NUM
ejpam-6624	324	10	)	)	PUNCT
ejpam-6624	324	11	(	(	PUNCT
ejpam-6624	324	12	2025	2025	NUM
ejpam-6624	324	13	)	)	PUNCT
ejpam-6624	324	14	,	,	PUNCT
ejpam-6624	324	15	6624	6624	NUM
ejpam-6624	324	16	15	15	NUM
ejpam-6624	324	17	of	of	ADP
ejpam-6624	324	18	24	24	NUM
ejpam-6624	324	19	h2(β	h2(β	NOUN
ejpam-6624	324	20	)	)	PUNCT
ejpam-6624	324	21	:	:	PUNCT
ejpam-6624	325	1	−4cρ1k	−4cρ1k	PROPN
ejpam-6624	325	2	−	−	PROPN
ejpam-6624	325	3	aξρ1k	aξρ1k	PROPN
ejpam-6624	325	4	−	−	NOUN
ejpam-6624	325	5	a2cρ1s	a2cρ1s	NUM
ejpam-6624	325	6	2k	2k	NUM
ejpam-6624	325	7	−	−	PROPN
ejpam-6624	325	8	6a2cρ1s	6a2cρ1s	NUM
ejpam-6624	325	9	2k	2k	NOUN
ejpam-6624	325	10	−	−	ADP
ejpam-6624	325	11	8a2cρ1rk	8a2cρ1rk	NUM
ejpam-6624	325	12	2	2	NUM
ejpam-6624	325	13	+12abρ21rk	+12abρ21rk	NUM
ejpam-6624	325	14	+	+	CCONJ
ejpam-6624	325	15	6abρ21s	6abρ21s	PROPN
ejpam-6624	325	16	2	2	NUM
ejpam-6624	325	17	=	=	SYM
ejpam-6624	325	18	0	0	NUM
ejpam-6624	325	19	,	,	PUNCT
ejpam-6624	325	20	(	(	PUNCT
ejpam-6624	325	21	84	84	NUM
ejpam-6624	325	22	)	)	PUNCT
ejpam-6624	325	23	h3(β	h3(β	NOUN
ejpam-6624	325	24	)	)	PUNCT
ejpam-6624	325	25	:	:	PUNCT
ejpam-6624	325	26	−12a2cρ1sk	−12a2cρ1sk	PROPN
ejpam-6624	325	27	2	2	NUM
ejpam-6624	325	28	+	+	SYM
ejpam-6624	325	29	12abρ21sk	12abρ21sk	NUM
ejpam-6624	325	30	=	=	SYM
ejpam-6624	325	31	0	0	NUM
ejpam-6624	325	32	,	,	PUNCT
ejpam-6624	325	33	(	(	PUNCT
ejpam-6624	325	34	85	85	NUM
ejpam-6624	325	35	)	)	PUNCT
ejpam-6624	325	36	h4(β	h4(β	PROPN
ejpam-6624	325	37	)	)	PUNCT
ejpam-6624	325	38	:	:	PUNCT
ejpam-6624	325	39	−6a2cρ1k	−6a2cρ1k	VERB
ejpam-6624	325	40	3	3	NUM
ejpam-6624	325	41	+	+	NOUN
ejpam-6624	325	42	6abρ21k	6abρ21k	NUM
ejpam-6624	325	43	2	2	NUM
ejpam-6624	325	44	=	=	SYM
ejpam-6624	325	45	0	0	NUM
ejpam-6624	325	46	.	.	PUNCT
ejpam-6624	325	47	(	(	PUNCT
ejpam-6624	325	48	86	86	NUM
ejpam-6624	325	49	)	)	PUNCT
ejpam-6624	325	50	by	by	ADP
ejpam-6624	325	51	solving	solve	VERB
ejpam-6624	325	52	equations	equation	NOUN
ejpam-6624	325	53	(	(	PUNCT
ejpam-6624	325	54	82)–(86	82)–(86	NUM
ejpam-6624	325	55	)	)	PUNCT
ejpam-6624	325	56	,	,	PUNCT
ejpam-6624	325	57	we	we	PRON
ejpam-6624	325	58	are	be	AUX
ejpam-6624	325	59	able	able	ADJ
ejpam-6624	325	60	to	to	PART
ejpam-6624	325	61	get	get	VERB
ejpam-6624	325	62	ρ1	ρ1	NOUN
ejpam-6624	325	63	=	=	PUNCT
ejpam-6624	325	64	a2kξ	a2kξ	PUNCT
ejpam-6624	325	65	b(−4	b(−4	PROPN
ejpam-6624	326	1	+	+	CCONJ
ejpam-6624	326	2	4a2kr	4a2kr	NUM
ejpam-6624	326	3	−	−	NOUN
ejpam-6624	326	4	a2s2	a2s2	NOUN
ejpam-6624	326	5	)	)	PUNCT
ejpam-6624	326	6	and	and	CCONJ
ejpam-6624	326	7	c	c	X
ejpam-6624	326	8	=	=	PRON
ejpam-6624	326	9	aξ	aξ	INTJ
ejpam-6624	326	10	−4	−4	PUNCT
ejpam-6624	327	1	+	+	CCONJ
ejpam-6624	327	2	4a2kr	4a2kr	NUM
ejpam-6624	327	3	−	−	NOUN
ejpam-6624	327	4	a2s2	a2s2	NOUN
ejpam-6624	327	5	.	.	PUNCT
ejpam-6624	328	1	(	(	PUNCT
ejpam-6624	328	2	87	87	NUM
ejpam-6624	328	3	)	)	PUNCT
ejpam-6624	328	4	in	in	ADP
ejpam-6624	328	5	27	27	NUM
ejpam-6624	328	6	distinct	distinct	ADJ
ejpam-6624	328	7	scenarios	scenario	NOUN
ejpam-6624	328	8	,	,	PUNCT
ejpam-6624	328	9	it	it	PRON
ejpam-6624	328	10	is	be	AUX
ejpam-6624	328	11	feasible	feasible	ADJ
ejpam-6624	328	12	to	to	PART
ejpam-6624	328	13	write	write	VERB
ejpam-6624	328	14	the	the	DET
ejpam-6624	328	15	precise	precise	ADJ
ejpam-6624	328	16	traveling	travel	VERB
ejpam-6624	328	17	wave	wave	NOUN
ejpam-6624	328	18	solutions	solution	NOUN
ejpam-6624	328	19	of	of	ADP
ejpam-6624	328	20	the	the	DET
ejpam-6624	328	21	nonlinear	nonlinear	ADJ
ejpam-6624	328	22	space	space	NOUN
ejpam-6624	328	23	and	and	CCONJ
ejpam-6624	328	24	time	time	NOUN
ejpam-6624	328	25	fractional	fractional	ADJ
ejpam-6624	328	26	(	(	PUNCT
ejpam-6624	328	27	2	2	NUM
ejpam-6624	328	28	+	+	NOUN
ejpam-6624	328	29	1)-dimensional	1)-dimensional	ADJ
ejpam-6624	328	30	akns	akns	NOUN
ejpam-6624	328	31	equation	equation	NOUN
ejpam-6624	328	32	.	.	PUNCT
ejpam-6624	329	1	this	this	PRON
ejpam-6624	329	2	is	be	AUX
ejpam-6624	329	3	a	a	DET
ejpam-6624	329	4	possibility	possibility	NOUN
ejpam-6624	329	5	.	.	PUNCT
ejpam-6624	330	1	type	type	NOUN
ejpam-6624	330	2	i	i	PRON
ejpam-6624	330	3	:	:	PUNCT
ejpam-6624	330	4	when	when	SCONJ
ejpam-6624	330	5	φ	φ	PROPN
ejpam-6624	330	6	=	=	SYM
ejpam-6624	330	7	s2	s2	PROPN
ejpam-6624	330	8	−	−	PROPN
ejpam-6624	330	9	4rk	4rk	NOUN
ejpam-6624	330	10	>	>	X
ejpam-6624	330	11	0	0	PUNCT
ejpam-6624	330	12	and	and	CCONJ
ejpam-6624	330	13	sk	sk	ADP
ejpam-6624	330	14	̸=	̸=	PROPN
ejpam-6624	330	15	0	0	NUM
ejpam-6624	330	16	or	or	CCONJ
ejpam-6624	330	17	rk	rk	PRON
ejpam-6624	330	18	̸=	̸=	PROPN
ejpam-6624	330	19	0	0	NUM
ejpam-6624	330	20	,	,	PUNCT
ejpam-6624	330	21	we	we	PRON
ejpam-6624	330	22	obtained	obtain	VERB
ejpam-6624	330	23	u1(x	u1(x	PROPN
ejpam-6624	330	24	,	,	PUNCT
ejpam-6624	330	25	y	y	PROPN
ejpam-6624	330	26	,	,	PUNCT
ejpam-6624	330	27	t	t	PROPN
ejpam-6624	330	28	)	)	PUNCT
ejpam-6624	330	29	=	=	SYM
ejpam-6624	331	1	ρ0	ρ0	PROPN
ejpam-6624	331	2	+	+	SYM
ejpam-6624	331	3	a2kξ	a2kξ	VERB
ejpam-6624	331	4	b(−4	b(−4	PROPN
ejpam-6624	331	5	+	+	CCONJ
ejpam-6624	331	6	4a2kr	4a2kr	NUM
ejpam-6624	331	7	−	−	NOUN
ejpam-6624	331	8	a2s2	a2s2	NOUN
ejpam-6624	331	9	)	)	PUNCT
ejpam-6624	331	10	(	(	PUNCT
ejpam-6624	331	11	−	−	PROPN
ejpam-6624	331	12	1	1	NUM
ejpam-6624	331	13	2k	2k	NOUN
ejpam-6624	331	14	(	(	PUNCT
ejpam-6624	331	15	s+	s+	ADV
ejpam-6624	331	16	√	√	PROPN
ejpam-6624	331	17	φ	φ	NUM
ejpam-6624	331	18	tanh	tanh	PROPN
ejpam-6624	331	19	(	(	PUNCT
ejpam-6624	331	20	√	√	PROPN
ejpam-6624	331	21	φ	φ	NUM
ejpam-6624	331	22	2	2	NUM
ejpam-6624	331	23	β	β	NOUN
ejpam-6624	331	24	)	)	PUNCT
ejpam-6624	331	25	)	)	PUNCT
ejpam-6624	331	26	)	)	PUNCT
ejpam-6624	331	27	,	,	PUNCT
ejpam-6624	331	28	(	(	PUNCT
ejpam-6624	331	29	88	88	NUM
ejpam-6624	331	30	)	)	PUNCT
ejpam-6624	331	31	u2(x	u2(x	PROPN
ejpam-6624	331	32	,	,	PUNCT
ejpam-6624	331	33	y	y	PROPN
ejpam-6624	331	34	,	,	PUNCT
ejpam-6624	331	35	t	t	PROPN
ejpam-6624	331	36	)	)	PUNCT
ejpam-6624	332	1	=	=	SYM
ejpam-6624	332	2	ρ0	ρ0	PROPN
ejpam-6624	332	3	+	+	SYM
ejpam-6624	332	4	a2kξ	a2kξ	VERB
ejpam-6624	332	5	b(−4	b(−4	PROPN
ejpam-6624	332	6	+	+	CCONJ
ejpam-6624	332	7	4a2kr	4a2kr	NUM
ejpam-6624	332	8	−	−	NOUN
ejpam-6624	332	9	a2s2	a2s2	NOUN
ejpam-6624	332	10	)	)	PUNCT
ejpam-6624	332	11	(	(	PUNCT
ejpam-6624	332	12	−	−	PROPN
ejpam-6624	332	13	1	1	NUM
ejpam-6624	332	14	2k	2k	NOUN
ejpam-6624	332	15	(	(	PUNCT
ejpam-6624	332	16	s+	s+	NUM
ejpam-6624	332	17	√	√	PROPN
ejpam-6624	332	18	φ	φ	NUM
ejpam-6624	332	19	coth	coth	PROPN
ejpam-6624	332	20	(	(	PUNCT
ejpam-6624	332	21	√	√	PROPN
ejpam-6624	332	22	φ	φ	NUM
ejpam-6624	332	23	2	2	NUM
ejpam-6624	332	24	β	β	NOUN
ejpam-6624	332	25	)	)	PUNCT
ejpam-6624	332	26	)	)	PUNCT
ejpam-6624	332	27	)	)	PUNCT
ejpam-6624	332	28	,	,	PUNCT
ejpam-6624	332	29	(	(	PUNCT
ejpam-6624	332	30	89	89	X
ejpam-6624	332	31	)	)	PUNCT
ejpam-6624	332	32	u3(x	u3(x	PROPN
ejpam-6624	332	33	,	,	PUNCT
ejpam-6624	332	34	y	y	PROPN
ejpam-6624	332	35	,	,	PUNCT
ejpam-6624	332	36	t	t	PROPN
ejpam-6624	332	37	)	)	PUNCT
ejpam-6624	332	38	=	=	SYM
ejpam-6624	333	1	ρ0	ρ0	PROPN
ejpam-6624	333	2	+	+	SYM
ejpam-6624	333	3	a2kξ	a2kξ	VERB
ejpam-6624	333	4	b(−4	b(−4	PROPN
ejpam-6624	333	5	+	+	CCONJ
ejpam-6624	333	6	4a2kr	4a2kr	NUM
ejpam-6624	333	7	−	−	NOUN
ejpam-6624	333	8	a2s2	a2s2	NOUN
ejpam-6624	333	9	)	)	PUNCT
ejpam-6624	333	10	(	(	PUNCT
ejpam-6624	333	11	−	−	PROPN
ejpam-6624	333	12	1	1	NUM
ejpam-6624	333	13	2k	2k	NOUN
ejpam-6624	333	14	(	(	PUNCT
ejpam-6624	333	15	s+	s+	NUM
ejpam-6624	333	16	√	√	PROPN
ejpam-6624	333	17	φ	φ	PROPN
ejpam-6624	333	18	(	(	PUNCT
ejpam-6624	333	19	tanh	tanh	PROPN
ejpam-6624	333	20	(	(	PUNCT
ejpam-6624	333	21	√	√	NUM
ejpam-6624	333	22	φβ)±	φβ)±	NOUN
ejpam-6624	333	23	i	i	PRON
ejpam-6624	333	24	sech	sech	VERB
ejpam-6624	333	25	(	(	PUNCT
ejpam-6624	333	26	√	√	NUM
ejpam-6624	333	27	φβ	φβ	NUM
ejpam-6624	333	28	)	)	PUNCT
ejpam-6624	333	29	)	)	PUNCT
ejpam-6624	333	30	)	)	PUNCT
ejpam-6624	333	31	)	)	PUNCT
ejpam-6624	334	1	,	,	PUNCT
ejpam-6624	334	2	(	(	PUNCT
ejpam-6624	334	3	90	90	NUM
ejpam-6624	334	4	)	)	PUNCT
ejpam-6624	334	5	u4(x	u4(x	PROPN
ejpam-6624	334	6	,	,	PUNCT
ejpam-6624	334	7	y	y	PROPN
ejpam-6624	334	8	,	,	PUNCT
ejpam-6624	334	9	t	t	PROPN
ejpam-6624	334	10	)	)	PUNCT
ejpam-6624	334	11	=	=	SYM
ejpam-6624	334	12	ρ0	ρ0	PROPN
ejpam-6624	334	13	+	+	SYM
ejpam-6624	334	14	a2kξ	a2kξ	VERB
ejpam-6624	334	15	b(−4	b(−4	PROPN
ejpam-6624	334	16	+	+	CCONJ
ejpam-6624	334	17	4a2kr	4a2kr	NUM
ejpam-6624	334	18	−	−	NOUN
ejpam-6624	334	19	a2s2	a2s2	NOUN
ejpam-6624	334	20	)	)	PUNCT
ejpam-6624	334	21	(	(	PUNCT
ejpam-6624	334	22	−	−	PROPN
ejpam-6624	334	23	1	1	NUM
ejpam-6624	334	24	2k	2k	NOUN
ejpam-6624	334	25	(	(	PUNCT
ejpam-6624	334	26	s+	s+	NUM
ejpam-6624	334	27	√	√	PROPN
ejpam-6624	334	28	φ	φ	PROPN
ejpam-6624	334	29	(	(	PUNCT
ejpam-6624	334	30	coth	coth	PROPN
ejpam-6624	334	31	(	(	PUNCT
ejpam-6624	334	32	√	√	NUM
ejpam-6624	334	33	φβ)±	φβ)±	NUM
ejpam-6624	334	34	csch	csch	NOUN
ejpam-6624	334	35	(	(	PUNCT
ejpam-6624	334	36	√	√	NUM
ejpam-6624	334	37	φβ	φβ	NUM
ejpam-6624	334	38	)	)	PUNCT
ejpam-6624	334	39	)	)	PUNCT
ejpam-6624	334	40	)	)	PUNCT
ejpam-6624	334	41	)	)	PUNCT
ejpam-6624	334	42	,	,	PUNCT
ejpam-6624	334	43	(	(	PUNCT
ejpam-6624	334	44	91	91	X
ejpam-6624	334	45	)	)	PUNCT
ejpam-6624	334	46	u5(x	u5(x	PROPN
ejpam-6624	334	47	,	,	PUNCT
ejpam-6624	334	48	y	y	PROPN
ejpam-6624	334	49	,	,	PUNCT
ejpam-6624	334	50	t	t	PROPN
ejpam-6624	334	51	)	)	PUNCT
ejpam-6624	334	52	=	=	SYM
ejpam-6624	335	1	ρ0	ρ0	PROPN
ejpam-6624	335	2	+	+	SYM
ejpam-6624	335	3	a2kξ	a2kξ	VERB
ejpam-6624	335	4	b(−4	b(−4	PROPN
ejpam-6624	335	5	+	+	CCONJ
ejpam-6624	335	6	4a2kr	4a2kr	NUM
ejpam-6624	335	7	−	−	NOUN
ejpam-6624	335	8	a2s2	a2s2	NOUN
ejpam-6624	335	9	)	)	PUNCT
ejpam-6624	335	10	(	(	PUNCT
ejpam-6624	335	11	−	−	PROPN
ejpam-6624	335	12	1	1	NUM
ejpam-6624	335	13	4k	4k	X
ejpam-6624	335	14	(	(	PUNCT
ejpam-6624	335	15	2s+	2s+	NUM
ejpam-6624	335	16	√	√	NUM
ejpam-6624	335	17	φ	φ	PROPN
ejpam-6624	335	18	(	(	PUNCT
ejpam-6624	335	19	tanh	tanh	PROPN
ejpam-6624	335	20	(	(	PUNCT
ejpam-6624	335	21	√	√	PROPN
ejpam-6624	335	22	φ	φ	NUM
ejpam-6624	335	23	4	4	NUM
ejpam-6624	335	24	β	β	X
ejpam-6624	335	25	)	)	PUNCT
ejpam-6624	336	1	+	+	CCONJ
ejpam-6624	336	2	coth	coth	NOUN
ejpam-6624	336	3	(	(	PUNCT
ejpam-6624	336	4	√	√	PROPN
ejpam-6624	336	5	φ	φ	NUM
ejpam-6624	336	6	4	4	NUM
ejpam-6624	336	7	β	β	NOUN
ejpam-6624	336	8	)	)	PUNCT
ejpam-6624	336	9	)	)	PUNCT
ejpam-6624	336	10	)	)	PUNCT
ejpam-6624	336	11	)	)	PUNCT
ejpam-6624	336	12	,	,	PUNCT
ejpam-6624	336	13	(	(	PUNCT
ejpam-6624	336	14	92	92	NUM
ejpam-6624	336	15	)	)	PUNCT
ejpam-6624	336	16	u6(x	u6(x	PROPN
ejpam-6624	336	17	,	,	PUNCT
ejpam-6624	336	18	y	y	PROPN
ejpam-6624	336	19	,	,	PUNCT
ejpam-6624	336	20	t	t	PROPN
ejpam-6624	336	21	)	)	PUNCT
ejpam-6624	336	22	=	=	SYM
ejpam-6624	336	23	ρ0	ρ0	PROPN
ejpam-6624	336	24	+	+	SYM
ejpam-6624	336	25	a2kξ	a2kξ	VERB
ejpam-6624	336	26	b(−4	b(−4	PROPN
ejpam-6624	336	27	+	+	CCONJ
ejpam-6624	336	28	4a2kr	4a2kr	NUM
ejpam-6624	336	29	−	−	NOUN
ejpam-6624	336	30	a2s2	a2s2	NOUN
ejpam-6624	336	31	)	)	PUNCT
ejpam-6624	336	32	(	(	PUNCT
ejpam-6624	336	33	−	−	PROPN
ejpam-6624	336	34	1	1	NUM
ejpam-6624	336	35	2k	2k	NOUN
ejpam-6624	336	36	(	(	PUNCT
ejpam-6624	336	37	s−	s−	PROPN
ejpam-6624	336	38	√	√	NUM
ejpam-6624	336	39	φ(µ2	φ(µ2	NOUN
ejpam-6624	336	40	+	+	CCONJ
ejpam-6624	336	41	σ2)−	σ2)−	PROPN
ejpam-6624	336	42	µ	µ	ADJ
ejpam-6624	336	43	√	√	PROPN
ejpam-6624	336	44	φ	φ	NUM
ejpam-6624	336	45	cosh	cosh	PROPN
ejpam-6624	336	46	(	(	PUNCT
ejpam-6624	336	47	√	√	ADP
ejpam-6624	336	48	φβ	φβ	NOUN
ejpam-6624	336	49	)	)	PUNCT
ejpam-6624	336	50	µ	µ	NOUN
ejpam-6624	336	51	sinh	sinh	NOUN
ejpam-6624	336	52	(	(	PUNCT
ejpam-6624	336	53	√	√	ADP
ejpam-6624	336	54	φβ	φβ	NOUN
ejpam-6624	336	55	)	)	PUNCT
ejpam-6624	336	56	+	+	CCONJ
ejpam-6624	336	57	σ	σ	NOUN
ejpam-6624	336	58	)	)	PUNCT
ejpam-6624	336	59	)	)	PUNCT
ejpam-6624	336	60	,	,	PUNCT
ejpam-6624	336	61	(	(	PUNCT
ejpam-6624	336	62	93	93	NUM
ejpam-6624	336	63	)	)	PUNCT
ejpam-6624	336	64	u7(x	u7(x	PROPN
ejpam-6624	336	65	,	,	PUNCT
ejpam-6624	336	66	y	y	PROPN
ejpam-6624	336	67	,	,	PUNCT
ejpam-6624	336	68	t	t	PROPN
ejpam-6624	336	69	)	)	PUNCT
ejpam-6624	336	70	=	=	SYM
ejpam-6624	336	71	ρ0	ρ0	PROPN
ejpam-6624	336	72	+	+	SYM
ejpam-6624	336	73	a2kξ	a2kξ	VERB
ejpam-6624	336	74	b(−4	b(−4	PROPN
ejpam-6624	336	75	+	+	CCONJ
ejpam-6624	336	76	4a2kr	4a2kr	NUM
ejpam-6624	336	77	−	−	NOUN
ejpam-6624	336	78	a2s2	a2s2	NOUN
ejpam-6624	336	79	)	)	PUNCT
ejpam-6624	336	80	(	(	PUNCT
ejpam-6624	336	81	−	−	PROPN
ejpam-6624	336	82	1	1	NUM
ejpam-6624	336	83	2k	2k	NOUN
ejpam-6624	336	84	(	(	PUNCT
ejpam-6624	336	85	s−	s−	PROPN
ejpam-6624	336	86	√	√	NUM
ejpam-6624	336	87	φ(σ2	φ(σ2	NOUN
ejpam-6624	336	88	−	−	PROPN
ejpam-6624	336	89	µ2	µ2	PROPN
ejpam-6624	336	90	)	)	PUNCT
ejpam-6624	336	91	+	+	NUM
ejpam-6624	336	92	µ	µ	X
ejpam-6624	336	93	√	√	PROPN
ejpam-6624	336	94	φ	φ	NUM
ejpam-6624	336	95	sinh	sinh	PROPN
ejpam-6624	336	96	(	(	PUNCT
ejpam-6624	336	97	√	√	ADP
ejpam-6624	336	98	φβ	φβ	NOUN
ejpam-6624	336	99	)	)	PUNCT
ejpam-6624	336	100	µ	µ	NOUN
ejpam-6624	336	101	cosh	cosh	NOUN
ejpam-6624	336	102	(	(	PUNCT
ejpam-6624	336	103	√	√	ADP
ejpam-6624	336	104	φβ	φβ	NOUN
ejpam-6624	336	105	)	)	PUNCT
ejpam-6624	336	106	+	+	CCONJ
ejpam-6624	336	107	σ	σ	NOUN
ejpam-6624	336	108	)	)	PUNCT
ejpam-6624	336	109	)	)	PUNCT
ejpam-6624	336	110	,	,	PUNCT
ejpam-6624	336	111	(	(	PUNCT
ejpam-6624	336	112	94	94	X
ejpam-6624	336	113	)	)	PUNCT
ejpam-6624	336	114	s.	s.	PROPN
ejpam-6624	336	115	phoosree	phoosree	INTJ
ejpam-6624	336	116	et	et	PROPN
ejpam-6624	336	117	al	al	PROPN
ejpam-6624	336	118	.	.	PUNCT
ejpam-6624	336	119	/	/	SYM
ejpam-6624	336	120	eur	eur	PROPN
ejpam-6624	336	121	.	.	PUNCT
ejpam-6624	337	1	j.	j.	PROPN
ejpam-6624	337	2	pure	pure	PROPN
ejpam-6624	337	3	appl	appl	PROPN
ejpam-6624	337	4	.	.	PROPN
ejpam-6624	337	5	math	math	PROPN
ejpam-6624	337	6	,	,	PUNCT
ejpam-6624	337	7	18	18	NUM
ejpam-6624	337	8	(	(	PUNCT
ejpam-6624	337	9	4	4	NUM
ejpam-6624	337	10	)	)	PUNCT
ejpam-6624	337	11	(	(	PUNCT
ejpam-6624	337	12	2025	2025	NUM
ejpam-6624	337	13	)	)	PUNCT
ejpam-6624	337	14	,	,	PUNCT
ejpam-6624	337	15	6624	6624	NUM
ejpam-6624	337	16	16	16	NUM
ejpam-6624	337	17	of	of	ADP
ejpam-6624	337	18	24	24	NUM
ejpam-6624	337	19	where	where	SCONJ
ejpam-6624	337	20	µ	µ	NOUN
ejpam-6624	337	21	and	and	CCONJ
ejpam-6624	337	22	σ	σ	PROPN
ejpam-6624	337	23	are	be	AUX
ejpam-6624	337	24	two	two	NUM
ejpam-6624	337	25	real	real	ADJ
ejpam-6624	337	26	constants	constant	NOUN
ejpam-6624	337	27	that	that	PRON
ejpam-6624	337	28	are	be	AUX
ejpam-6624	337	29	not	not	PART
ejpam-6624	337	30	zero	zero	NUM
ejpam-6624	337	31	,	,	PUNCT
ejpam-6624	337	32	and	and	CCONJ
ejpam-6624	337	33	they	they	PRON
ejpam-6624	337	34	meet	meet	VERB
ejpam-6624	337	35	the	the	DET
ejpam-6624	337	36	condition	condition	NOUN
ejpam-6624	337	37	that	that	SCONJ
ejpam-6624	337	38	σ2	σ2	PROPN
ejpam-6624	337	39	−	−	PROPN
ejpam-6624	337	40	µ2	µ2	PROPN
ejpam-6624	337	41	.	.	PUNCT
ejpam-6624	338	1	u8(x	u8(x	PROPN
ejpam-6624	338	2	,	,	PUNCT
ejpam-6624	338	3	y	y	PROPN
ejpam-6624	338	4	,	,	PUNCT
ejpam-6624	338	5	t	t	PROPN
ejpam-6624	338	6	)	)	PUNCT
ejpam-6624	339	1	=	=	SYM
ejpam-6624	339	2	ρ0	ρ0	PROPN
ejpam-6624	339	3	+	+	SYM
ejpam-6624	339	4	a2kξ	a2kξ	VERB
ejpam-6624	339	5	b(−4	b(−4	PROPN
ejpam-6624	339	6	+	+	CCONJ
ejpam-6624	339	7	4a2kr	4a2kr	NUM
ejpam-6624	339	8	−	−	NOUN
ejpam-6624	339	9	a2s2	a2s2	NOUN
ejpam-6624	339	10	)	)	PUNCT
ejpam-6624	339	11			PROPN
ejpam-6624	339	12	2r	2r	NUM
ejpam-6624	339	13	cosh	cosh	NOUN
ejpam-6624	339	14	(	(	PUNCT
ejpam-6624	339	15	√	√	PROPN
ejpam-6624	339	16	φ	φ	NUM
ejpam-6624	339	17	2	2	NUM
ejpam-6624	339	18	β	β	X
ejpam-6624	339	19	)	)	PUNCT
ejpam-6624	339	20	√	√	PROPN
ejpam-6624	339	21	φ	φ	NUM
ejpam-6624	339	22	sinh	sinh	PROPN
ejpam-6624	339	23	(	(	PUNCT
ejpam-6624	339	24	√	√	PROPN
ejpam-6624	339	25	φ	φ	NUM
ejpam-6624	339	26	2	2	NUM
ejpam-6624	339	27	β	β	X
ejpam-6624	339	28	)	)	PUNCT
ejpam-6624	340	1	−	−	PROPN
ejpam-6624	340	2	s	s	PART
ejpam-6624	340	3	cosh	cosh	NOUN
ejpam-6624	340	4	(	(	PUNCT
ejpam-6624	340	5	√	√	PROPN
ejpam-6624	340	6	φ	φ	NUM
ejpam-6624	340	7	2	2	NUM
ejpam-6624	340	8	β	β	X
ejpam-6624	340	9	)	)	PUNCT
ejpam-6624	340	10			NOUN
ejpam-6624	340	11	,	,	PUNCT
ejpam-6624	340	12	(	(	PUNCT
ejpam-6624	340	13	95	95	NUM
ejpam-6624	340	14	)	)	PUNCT
ejpam-6624	340	15	u9(x	u9(x	PROPN
ejpam-6624	340	16	,	,	PUNCT
ejpam-6624	340	17	y	y	PROPN
ejpam-6624	340	18	,	,	PUNCT
ejpam-6624	340	19	t	t	PROPN
ejpam-6624	340	20	)	)	PUNCT
ejpam-6624	340	21	=	=	SYM
ejpam-6624	341	1	ρ0	ρ0	PROPN
ejpam-6624	341	2	+	+	SYM
ejpam-6624	341	3	a2kξ	a2kξ	VERB
ejpam-6624	341	4	b(−4	b(−4	PROPN
ejpam-6624	341	5	+	+	CCONJ
ejpam-6624	341	6	4a2kr	4a2kr	NUM
ejpam-6624	341	7	−	−	NOUN
ejpam-6624	341	8	a2s2	a2s2	NOUN
ejpam-6624	341	9	)	)	PUNCT
ejpam-6624	341	10			PROPN
ejpam-6624	341	11	−2r	−2r	PROPN
ejpam-6624	341	12	sinh	sinh	NOUN
ejpam-6624	341	13	(	(	PUNCT
ejpam-6624	341	14	√	√	PROPN
ejpam-6624	341	15	φ	φ	NUM
ejpam-6624	341	16	2	2	NUM
ejpam-6624	341	17	β	β	X
ejpam-6624	341	18	)	)	PUNCT
ejpam-6624	341	19	s	s	VERB
ejpam-6624	341	20	sinh	sinh	NOUN
ejpam-6624	341	21	(	(	PUNCT
ejpam-6624	341	22	√	√	PROPN
ejpam-6624	341	23	φ	φ	NUM
ejpam-6624	341	24	2	2	NUM
ejpam-6624	341	25	β	β	NOUN
ejpam-6624	341	26	)	)	PUNCT
ejpam-6624	341	27	−√	−√	PROPN
ejpam-6624	342	1	φ	φ	PROPN
ejpam-6624	342	2	cosh	cosh	PROPN
ejpam-6624	342	3	(	(	PUNCT
ejpam-6624	342	4	√	√	PROPN
ejpam-6624	342	5	φ	φ	NUM
ejpam-6624	342	6	2	2	NUM
ejpam-6624	342	7	β	β	X
ejpam-6624	342	8	)	)	PUNCT
ejpam-6624	342	9			NOUN
ejpam-6624	342	10	,	,	PUNCT
ejpam-6624	342	11	(	(	PUNCT
ejpam-6624	342	12	96	96	NUM
ejpam-6624	342	13	)	)	PUNCT
ejpam-6624	342	14	u10(x	u10(x	NOUN
ejpam-6624	342	15	,	,	PUNCT
ejpam-6624	342	16	y	y	PROPN
ejpam-6624	342	17	,	,	PUNCT
ejpam-6624	342	18	t	t	PROPN
ejpam-6624	342	19	)	)	PUNCT
ejpam-6624	342	20	=	=	SYM
ejpam-6624	343	1	ρ0	ρ0	PROPN
ejpam-6624	343	2	+	+	SYM
ejpam-6624	343	3	a2kξ	a2kξ	VERB
ejpam-6624	343	4	b(−4	b(−4	PROPN
ejpam-6624	343	5	+	+	CCONJ
ejpam-6624	343	6	4a2kr	4a2kr	NUM
ejpam-6624	343	7	−	−	NOUN
ejpam-6624	343	8	a2s2	a2s2	NOUN
ejpam-6624	343	9	)	)	PUNCT
ejpam-6624	343	10	(	(	PUNCT
ejpam-6624	343	11	2r	2r	NUM
ejpam-6624	343	12	cosh	cosh	NOUN
ejpam-6624	343	13	(	(	PUNCT
ejpam-6624	343	14	√	√	ADP
ejpam-6624	343	15	φβ	φβ	NOUN
ejpam-6624	343	16	)	)	PUNCT
ejpam-6624	343	17	√	√	PROPN
ejpam-6624	343	18	φ	φ	NUM
ejpam-6624	343	19	sinh	sinh	PROPN
ejpam-6624	343	20	(	(	PUNCT
ejpam-6624	343	21	√	√	ADP
ejpam-6624	343	22	φβ	φβ	NOUN
ejpam-6624	343	23	)	)	PUNCT
ejpam-6624	343	24	−	−	PROPN
ejpam-6624	343	25	s	s	PART
ejpam-6624	343	26	cosh	cosh	NOUN
ejpam-6624	343	27	(	(	PUNCT
ejpam-6624	343	28	√	√	ADP
ejpam-6624	343	29	φβ	φβ	NOUN
ejpam-6624	343	30	)	)	PUNCT
ejpam-6624	343	31	±	±	NOUN
ejpam-6624	343	32	i	i	PRON
ejpam-6624	343	33	√	√	PROPN
ejpam-6624	343	34	φ	φ	NUM
ejpam-6624	343	35	)	)	PUNCT
ejpam-6624	343	36	,	,	PUNCT
ejpam-6624	343	37	(	(	PUNCT
ejpam-6624	343	38	97	97	NUM
ejpam-6624	343	39	)	)	PUNCT
ejpam-6624	343	40	u11(x	u11(x	NOUN
ejpam-6624	343	41	,	,	PUNCT
ejpam-6624	343	42	y	y	PROPN
ejpam-6624	343	43	,	,	PUNCT
ejpam-6624	343	44	t	t	PROPN
ejpam-6624	343	45	)	)	PUNCT
ejpam-6624	343	46	=	=	SYM
ejpam-6624	344	1	ρ0	ρ0	PROPN
ejpam-6624	344	2	+	+	SYM
ejpam-6624	344	3	a2kξ	a2kξ	VERB
ejpam-6624	344	4	b(−4	b(−4	PROPN
ejpam-6624	344	5	+	+	CCONJ
ejpam-6624	344	6	4a2kr	4a2kr	NUM
ejpam-6624	344	7	−	−	NOUN
ejpam-6624	344	8	a2s2	a2s2	NOUN
ejpam-6624	344	9	)	)	PUNCT
ejpam-6624	344	10	(	(	PUNCT
ejpam-6624	344	11	2r	2r	NUM
ejpam-6624	344	12	sinh	sinh	NOUN
ejpam-6624	344	13	(	(	PUNCT
ejpam-6624	344	14	√	√	ADP
ejpam-6624	344	15	φβ	φβ	NOUN
ejpam-6624	344	16	)	)	PUNCT
ejpam-6624	344	17	−s	−s	NOUN
ejpam-6624	344	18	sinh	sinh	NOUN
ejpam-6624	344	19	(	(	PUNCT
ejpam-6624	344	20	√	√	ADP
ejpam-6624	344	21	φβ	φβ	NOUN
ejpam-6624	344	22	)	)	PUNCT
ejpam-6624	345	1	+	+	CCONJ
ejpam-6624	345	2	√	√	ADJ
ejpam-6624	345	3	φ	φ	NUM
ejpam-6624	345	4	cosh	cosh	PROPN
ejpam-6624	345	5	(	(	PUNCT
ejpam-6624	345	6	√	√	ADP
ejpam-6624	345	7	φβ	φβ	NOUN
ejpam-6624	345	8	)	)	PUNCT
ejpam-6624	345	9	±	±	NOUN
ejpam-6624	345	10	i	i	PRON
ejpam-6624	345	11	√	√	PROPN
ejpam-6624	345	12	φ	φ	NUM
ejpam-6624	345	13	)	)	PUNCT
ejpam-6624	345	14	,	,	PUNCT
ejpam-6624	345	15	(	(	PUNCT
ejpam-6624	345	16	98	98	NUM
ejpam-6624	345	17	)	)	PUNCT
ejpam-6624	345	18	u12(x	u12(x	PROPN
ejpam-6624	345	19	,	,	PUNCT
ejpam-6624	345	20	y	y	PROPN
ejpam-6624	345	21	,	,	PUNCT
ejpam-6624	345	22	t	t	PROPN
ejpam-6624	345	23	)	)	PUNCT
ejpam-6624	345	24	=	=	SYM
ejpam-6624	346	1	ρ0	ρ0	PROPN
ejpam-6624	346	2	+	+	SYM
ejpam-6624	346	3	a2kξ	a2kξ	VERB
ejpam-6624	346	4	b(−4	b(−4	PROPN
ejpam-6624	346	5	+	+	CCONJ
ejpam-6624	346	6	4a2kr	4a2kr	NUM
ejpam-6624	346	7	−	−	NOUN
ejpam-6624	346	8	a2s2	a2s2	NOUN
ejpam-6624	346	9	)	)	PUNCT
ejpam-6624	346	10			PROPN
ejpam-6624	346	11	4r	4r	NUM
ejpam-6624	346	12	sinh	sinh	NOUN
ejpam-6624	346	13	(	(	PUNCT
ejpam-6624	346	14	√	√	PROPN
ejpam-6624	346	15	φ	φ	NUM
ejpam-6624	346	16	4	4	NUM
ejpam-6624	346	17	β	β	NOUN
ejpam-6624	346	18	)	)	PUNCT
ejpam-6624	346	19	cosh	cosh	NOUN
ejpam-6624	346	20	(	(	PUNCT
ejpam-6624	346	21	√	√	PROPN
ejpam-6624	346	22	φ	φ	NUM
ejpam-6624	346	23	4	4	NUM
ejpam-6624	346	24	β	β	NOUN
ejpam-6624	346	25	)	)	PUNCT
ejpam-6624	347	1	−2s	−2s	PROPN
ejpam-6624	347	2	sinh	sinh	NOUN
ejpam-6624	347	3	(	(	PUNCT
ejpam-6624	347	4	√	√	PROPN
ejpam-6624	347	5	φ	φ	NUM
ejpam-6624	347	6	4	4	NUM
ejpam-6624	347	7	β	β	NOUN
ejpam-6624	347	8	)	)	PUNCT
ejpam-6624	347	9	cosh	cosh	NOUN
ejpam-6624	347	10	(	(	PUNCT
ejpam-6624	347	11	√	√	PROPN
ejpam-6624	347	12	φ	φ	NUM
ejpam-6624	347	13	4	4	NUM
ejpam-6624	347	14	β	β	NOUN
ejpam-6624	347	15	)	)	PUNCT
ejpam-6624	348	1	+	+	CCONJ
ejpam-6624	348	2	2	2	NUM
ejpam-6624	348	3	√	√	NUM
ejpam-6624	348	4	φ	φ	NUM
ejpam-6624	348	5	cosh2	cosh2	PROPN
ejpam-6624	348	6	(	(	PUNCT
ejpam-6624	348	7	√	√	PROPN
ejpam-6624	348	8	φ	φ	NUM
ejpam-6624	348	9	4	4	NUM
ejpam-6624	348	10	β	β	NOUN
ejpam-6624	348	11	)	)	PUNCT
ejpam-6624	348	12	−√	−√	PROPN
ejpam-6624	348	13	φ	φ	NUM
ejpam-6624	348	14			NOUN
ejpam-6624	348	15	,	,	PUNCT
ejpam-6624	348	16	(	(	PUNCT
ejpam-6624	348	17	99	99	NUM
ejpam-6624	348	18	)	)	PUNCT
ejpam-6624	348	19	type	type	NOUN
ejpam-6624	348	20	ii	ii	NOUN
ejpam-6624	348	21	:	:	PUNCT
ejpam-6624	348	22	when	when	SCONJ
ejpam-6624	348	23	φ	φ	PROPN
ejpam-6624	348	24	=	=	SYM
ejpam-6624	348	25	s2	s2	PROPN
ejpam-6624	348	26	−	−	PROPN
ejpam-6624	348	27	4rk	4rk	NOUN
ejpam-6624	348	28	<	<	X
ejpam-6624	348	29	0	0	PUNCT
ejpam-6624	348	30	and	and	CCONJ
ejpam-6624	348	31	sk	sk	ADP
ejpam-6624	348	32	̸=	̸=	PROPN
ejpam-6624	348	33	0	0	NUM
ejpam-6624	348	34	or	or	CCONJ
ejpam-6624	348	35	rk	rk	PRON
ejpam-6624	348	36	̸=	̸=	PROPN
ejpam-6624	348	37	0	0	NUM
ejpam-6624	348	38	,	,	PUNCT
ejpam-6624	348	39	we	we	PRON
ejpam-6624	348	40	obtain	obtain	VERB
ejpam-6624	348	41	u13(x	u13(x	PROPN
ejpam-6624	348	42	,	,	PUNCT
ejpam-6624	348	43	y	y	PROPN
ejpam-6624	348	44	,	,	PUNCT
ejpam-6624	348	45	t	t	PROPN
ejpam-6624	348	46	)	)	PUNCT
ejpam-6624	348	47	=	=	SYM
ejpam-6624	349	1	ρ0	ρ0	PROPN
ejpam-6624	349	2	+	+	SYM
ejpam-6624	349	3	a2kξ	a2kξ	VERB
ejpam-6624	349	4	b(−4	b(−4	PROPN
ejpam-6624	349	5	+	+	CCONJ
ejpam-6624	349	6	4a2kr	4a2kr	NUM
ejpam-6624	349	7	−	−	NOUN
ejpam-6624	349	8	a2s2	a2s2	NOUN
ejpam-6624	349	9	)	)	PUNCT
ejpam-6624	349	10	(	(	PUNCT
ejpam-6624	349	11	−	−	PROPN
ejpam-6624	349	12	1	1	NUM
ejpam-6624	349	13	2k	2k	NOUN
ejpam-6624	349	14	(	(	PUNCT
ejpam-6624	349	15	s−	s−	PROPN
ejpam-6624	349	16	√	√	VERB
ejpam-6624	349	17	−φ	−φ	PROPN
ejpam-6624	349	18	tan	tan	PROPN
ejpam-6624	349	19	(	(	PUNCT
ejpam-6624	349	20	√	√	ADP
ejpam-6624	349	21	−φ	−φ	NOUN
ejpam-6624	349	22	2	2	NUM
ejpam-6624	349	23	β	β	NOUN
ejpam-6624	349	24	)	)	PUNCT
ejpam-6624	349	25	)	)	PUNCT
ejpam-6624	349	26	)	)	PUNCT
ejpam-6624	349	27	,	,	PUNCT
ejpam-6624	349	28	(	(	PUNCT
ejpam-6624	349	29	100	100	NUM
ejpam-6624	349	30	)	)	PUNCT
ejpam-6624	349	31	u14(x	u14(x	NOUN
ejpam-6624	349	32	,	,	PUNCT
ejpam-6624	349	33	y	y	PROPN
ejpam-6624	349	34	,	,	PUNCT
ejpam-6624	349	35	t	t	PROPN
ejpam-6624	349	36	)	)	PUNCT
ejpam-6624	349	37	=	=	SYM
ejpam-6624	350	1	ρ0	ρ0	PROPN
ejpam-6624	350	2	+	+	SYM
ejpam-6624	350	3	a2kξ	a2kξ	VERB
ejpam-6624	350	4	b(−4	b(−4	PROPN
ejpam-6624	350	5	+	+	CCONJ
ejpam-6624	350	6	4a2kr	4a2kr	NUM
ejpam-6624	350	7	−	−	NOUN
ejpam-6624	350	8	a2s2	a2s2	NOUN
ejpam-6624	350	9	)	)	PUNCT
ejpam-6624	350	10	(	(	PUNCT
ejpam-6624	350	11	−	−	PROPN
ejpam-6624	350	12	1	1	NUM
ejpam-6624	350	13	2k	2k	NOUN
ejpam-6624	350	14	(	(	PUNCT
ejpam-6624	350	15	s+	s+	ADV
ejpam-6624	350	16	√	√	VERB
ejpam-6624	350	17	−φ	−φ	NOUN
ejpam-6624	350	18	cot	cot	NOUN
ejpam-6624	350	19	(	(	PUNCT
ejpam-6624	350	20	√	√	ADP
ejpam-6624	350	21	−φ	−φ	NOUN
ejpam-6624	350	22	2	2	NUM
ejpam-6624	350	23	β	β	NOUN
ejpam-6624	350	24	)	)	PUNCT
ejpam-6624	350	25	)	)	PUNCT
ejpam-6624	350	26	)	)	PUNCT
ejpam-6624	350	27	,	,	PUNCT
ejpam-6624	350	28	(	(	PUNCT
ejpam-6624	350	29	101	101	NUM
ejpam-6624	350	30	)	)	PUNCT
ejpam-6624	350	31	u15(x	u15(x	PROPN
ejpam-6624	350	32	,	,	PUNCT
ejpam-6624	350	33	y	y	PROPN
ejpam-6624	350	34	,	,	PUNCT
ejpam-6624	350	35	t	t	PROPN
ejpam-6624	350	36	)	)	PUNCT
ejpam-6624	350	37	=	=	SYM
ejpam-6624	351	1	ρ0	ρ0	PROPN
ejpam-6624	351	2	+	+	SYM
ejpam-6624	351	3	a2kξ	a2kξ	VERB
ejpam-6624	351	4	b(−4	b(−4	PROPN
ejpam-6624	351	5	+	+	CCONJ
ejpam-6624	351	6	4a2kr	4a2kr	NUM
ejpam-6624	351	7	−	−	NOUN
ejpam-6624	351	8	a2s2	a2s2	NOUN
ejpam-6624	351	9	)	)	PUNCT
ejpam-6624	351	10	(	(	PUNCT
ejpam-6624	351	11	−	−	PROPN
ejpam-6624	351	12	1	1	NUM
ejpam-6624	351	13	2k	2k	NOUN
ejpam-6624	351	14	(	(	PUNCT
ejpam-6624	351	15	s−	s−	PROPN
ejpam-6624	351	16	√	√	VERB
ejpam-6624	351	17	−φ	−φ	NOUN
ejpam-6624	351	18	(	(	PUNCT
ejpam-6624	351	19	tan	tan	PROPN
ejpam-6624	351	20	(	(	PUNCT
ejpam-6624	351	21	√	√	PROPN
ejpam-6624	351	22	−φβ	−φβ	ADV
ejpam-6624	351	23	)	)	PUNCT
ejpam-6624	351	24	±	±	PROPN
ejpam-6624	351	25	sec	sec	PROPN
ejpam-6624	351	26	(	(	PUNCT
ejpam-6624	351	27	√	√	NOUN
ejpam-6624	351	28	−φβ	−φβ	NUM
ejpam-6624	351	29	)	)	PUNCT
ejpam-6624	351	30	)	)	PUNCT
ejpam-6624	351	31	)	)	PUNCT
ejpam-6624	351	32	)	)	PUNCT
ejpam-6624	351	33	,	,	PUNCT
ejpam-6624	351	34	(	(	PUNCT
ejpam-6624	351	35	102	102	NUM
ejpam-6624	351	36	)	)	PUNCT
ejpam-6624	352	1	s.	s.	PROPN
ejpam-6624	352	2	phoosree	phoosree	INTJ
ejpam-6624	352	3	et	et	PROPN
ejpam-6624	352	4	al	al	PROPN
ejpam-6624	352	5	.	.	PUNCT
ejpam-6624	352	6	/	/	SYM
ejpam-6624	352	7	eur	eur	PROPN
ejpam-6624	352	8	.	.	PUNCT
ejpam-6624	353	1	j.	j.	PROPN
ejpam-6624	353	2	pure	pure	PROPN
ejpam-6624	353	3	appl	appl	PROPN
ejpam-6624	353	4	.	.	PROPN
ejpam-6624	353	5	math	math	PROPN
ejpam-6624	353	6	,	,	PUNCT
ejpam-6624	353	7	18	18	NUM
ejpam-6624	353	8	(	(	PUNCT
ejpam-6624	353	9	4	4	NUM
ejpam-6624	353	10	)	)	PUNCT
ejpam-6624	353	11	(	(	PUNCT
ejpam-6624	353	12	2025	2025	NUM
ejpam-6624	353	13	)	)	PUNCT
ejpam-6624	353	14	,	,	PUNCT
ejpam-6624	353	15	6624	6624	NUM
ejpam-6624	353	16	17	17	NUM
ejpam-6624	353	17	of	of	ADP
ejpam-6624	353	18	24	24	NUM
ejpam-6624	353	19	h16(β	h16(β	ADJ
ejpam-6624	353	20	)	)	PUNCT
ejpam-6624	353	21	=	=	SYM
ejpam-6624	354	1	−	−	PROPN
ejpam-6624	354	2	1	1	NUM
ejpam-6624	354	3	2k	2k	NOUN
ejpam-6624	354	4	(	(	PUNCT
ejpam-6624	354	5	s+	s+	ADV
ejpam-6624	354	6	√	√	VERB
ejpam-6624	354	7	−φ	−φ	NOUN
ejpam-6624	354	8	(	(	PUNCT
ejpam-6624	354	9	cot	cot	NOUN
ejpam-6624	354	10	(	(	PUNCT
ejpam-6624	354	11	√	√	NOUN
ejpam-6624	354	12	−φβ	−φβ	ADV
ejpam-6624	354	13	)	)	PUNCT
ejpam-6624	354	14	±	±	PROPN
ejpam-6624	355	1	csc	csc	PROPN
ejpam-6624	355	2	(	(	PUNCT
ejpam-6624	355	3	√	√	PROPN
ejpam-6624	355	4	−φβ	−φβ	NUM
ejpam-6624	355	5	)	)	PUNCT
ejpam-6624	355	6	)	)	PUNCT
ejpam-6624	355	7	)	)	PUNCT
ejpam-6624	355	8	,	,	PUNCT
ejpam-6624	355	9	(	(	PUNCT
ejpam-6624	355	10	103	103	NUM
ejpam-6624	355	11	)	)	PUNCT
ejpam-6624	355	12	h17(β	h17(β	NOUN
ejpam-6624	355	13	)	)	PUNCT
ejpam-6624	355	14	=	=	SYM
ejpam-6624	356	1	−	−	PROPN
ejpam-6624	356	2	1	1	NUM
ejpam-6624	356	3	4k	4k	NOUN
ejpam-6624	356	4	(	(	PUNCT
ejpam-6624	356	5	2s−	2s−	NUM
ejpam-6624	356	6	√	√	NOUN
ejpam-6624	356	7	−φ	−φ	NOUN
ejpam-6624	356	8	(	(	PUNCT
ejpam-6624	356	9	tan	tan	PROPN
ejpam-6624	356	10	(	(	PUNCT
ejpam-6624	356	11	√	√	PROPN
ejpam-6624	356	12	−φ	−φ	NOUN
ejpam-6624	356	13	4	4	NUM
ejpam-6624	356	14	β	β	NOUN
ejpam-6624	356	15	)	)	PUNCT
ejpam-6624	356	16	−	−	PROPN
ejpam-6624	356	17	cot	cot	NOUN
ejpam-6624	356	18	(	(	PUNCT
ejpam-6624	356	19	√	√	VERB
ejpam-6624	356	20	−φ	−φ	NOUN
ejpam-6624	356	21	4	4	NUM
ejpam-6624	356	22	β	β	NOUN
ejpam-6624	356	23	)	)	PUNCT
ejpam-6624	356	24	)	)	PUNCT
ejpam-6624	356	25	)	)	PUNCT
ejpam-6624	356	26	,	,	PUNCT
ejpam-6624	356	27	(	(	PUNCT
ejpam-6624	356	28	104	104	X
ejpam-6624	356	29	)	)	PUNCT
ejpam-6624	356	30	u18(x	u18(x	PROPN
ejpam-6624	356	31	,	,	PUNCT
ejpam-6624	356	32	y	y	PROPN
ejpam-6624	356	33	,	,	PUNCT
ejpam-6624	356	34	t	t	PROPN
ejpam-6624	356	35	)	)	PUNCT
ejpam-6624	356	36	=	=	SYM
ejpam-6624	357	1	ρ0	ρ0	PROPN
ejpam-6624	357	2	+	+	SYM
ejpam-6624	357	3	a2kξ	a2kξ	VERB
ejpam-6624	357	4	b(−4	b(−4	PROPN
ejpam-6624	357	5	+	+	CCONJ
ejpam-6624	357	6	4a2kr	4a2kr	NUM
ejpam-6624	357	7	−	−	NOUN
ejpam-6624	357	8	a2s2	a2s2	NOUN
ejpam-6624	357	9	)	)	PUNCT
ejpam-6624	357	10	(	(	PUNCT
ejpam-6624	357	11	−	−	PROPN
ejpam-6624	357	12	1	1	NUM
ejpam-6624	357	13	2k	2k	NOUN
ejpam-6624	357	14	(	(	PUNCT
ejpam-6624	357	15	s−	s−	PROPN
ejpam-6624	357	16	±	±	PROPN
ejpam-6624	357	17	√	√	PROPN
ejpam-6624	357	18	−φ(µ2	−φ(µ2	PROPN
ejpam-6624	357	19	−	−	PROPN
ejpam-6624	357	20	σ2)−	σ2)−	PROPN
ejpam-6624	357	21	µ	µ	X
ejpam-6624	357	22	√	√	PROPN
ejpam-6624	357	23	−φ	−φ	PROPN
ejpam-6624	357	24	cos	cos	PROPN
ejpam-6624	357	25	(	(	PUNCT
ejpam-6624	357	26	√	√	NUM
ejpam-6624	357	27	−φβ	−φβ	NUM
ejpam-6624	357	28	)	)	PUNCT
ejpam-6624	357	29	µ	µ	X
ejpam-6624	357	30	sin	sin	NOUN
ejpam-6624	357	31	(	(	PUNCT
ejpam-6624	357	32	√	√	NUM
ejpam-6624	357	33	−φβ	−φβ	NUM
ejpam-6624	357	34	)	)	PUNCT
ejpam-6624	358	1	+	+	CCONJ
ejpam-6624	358	2	σ	σ	NOUN
ejpam-6624	358	3	)	)	PUNCT
ejpam-6624	358	4	)	)	PUNCT
ejpam-6624	358	5	,	,	PUNCT
ejpam-6624	358	6	(	(	PUNCT
ejpam-6624	358	7	105	105	NUM
ejpam-6624	358	8	)	)	PUNCT
ejpam-6624	358	9	h19(β	h19(β	ADV
ejpam-6624	358	10	)	)	PUNCT
ejpam-6624	358	11	=	=	SYM
ejpam-6624	359	1	−	−	PROPN
ejpam-6624	359	2	1	1	NUM
ejpam-6624	359	3	2k	2k	NOUN
ejpam-6624	359	4	(	(	PUNCT
ejpam-6624	359	5	s+	s+	NUM
ejpam-6624	359	6	±	±	NUM
ejpam-6624	359	7	√	√	PROPN
ejpam-6624	359	8	−φ(µ2	−φ(µ2	PROPN
ejpam-6624	359	9	−	−	PROPN
ejpam-6624	359	10	σ2	σ2	PROPN
ejpam-6624	359	11	)	)	PUNCT
ejpam-6624	359	12	+	+	NUM
ejpam-6624	359	13	µ	µ	X
ejpam-6624	359	14	√	√	NUM
ejpam-6624	359	15	−φ	−φ	NOUN
ejpam-6624	359	16	sin	sin	NOUN
ejpam-6624	359	17	(	(	PUNCT
ejpam-6624	359	18	√	√	NUM
ejpam-6624	359	19	−φβ	−φβ	NUM
ejpam-6624	359	20	)	)	PUNCT
ejpam-6624	359	21	µ	µ	X
ejpam-6624	359	22	cos	cos	X
ejpam-6624	359	23	(	(	PUNCT
ejpam-6624	359	24	√	√	PROPN
ejpam-6624	359	25	−φβ	−φβ	NUM
ejpam-6624	359	26	)	)	PUNCT
ejpam-6624	360	1	+	+	NUM
ejpam-6624	360	2	σ	σ	NOUN
ejpam-6624	360	3	)	)	PUNCT
ejpam-6624	360	4	,	,	PUNCT
ejpam-6624	360	5	(	(	PUNCT
ejpam-6624	360	6	106	106	NUM
ejpam-6624	360	7	)	)	PUNCT
ejpam-6624	360	8	where	where	SCONJ
ejpam-6624	360	9	µ	µ	NOUN
ejpam-6624	360	10	and	and	CCONJ
ejpam-6624	360	11	σ	σ	PROPN
ejpam-6624	360	12	are	be	AUX
ejpam-6624	360	13	two	two	NUM
ejpam-6624	360	14	real	real	ADJ
ejpam-6624	360	15	constants	constant	NOUN
ejpam-6624	360	16	that	that	PRON
ejpam-6624	360	17	are	be	AUX
ejpam-6624	360	18	not	not	PART
ejpam-6624	360	19	zero	zero	NUM
ejpam-6624	360	20	,	,	PUNCT
ejpam-6624	360	21	and	and	CCONJ
ejpam-6624	360	22	they	they	PRON
ejpam-6624	360	23	meet	meet	VERB
ejpam-6624	360	24	the	the	DET
ejpam-6624	360	25	condition	condition	NOUN
ejpam-6624	360	26	that	that	PRON
ejpam-6624	360	27	µ2	µ2	PROPN
ejpam-6624	360	28	−	−	PROPN
ejpam-6624	360	29	σ2	σ2	PROPN
ejpam-6624	360	30	>	>	X
ejpam-6624	360	31	0	0	PROPN
ejpam-6624	360	32	.	.	PUNCT
ejpam-6624	361	1	u20(x	u20(x	PROPN
ejpam-6624	361	2	,	,	PUNCT
ejpam-6624	361	3	y	y	PROPN
ejpam-6624	361	4	,	,	PUNCT
ejpam-6624	361	5	t	t	PROPN
ejpam-6624	361	6	)	)	PUNCT
ejpam-6624	362	1	=	=	SYM
ejpam-6624	362	2	ρ0	ρ0	PROPN
ejpam-6624	362	3	+	+	SYM
ejpam-6624	362	4	a2kξ	a2kξ	VERB
ejpam-6624	362	5	b(−4	b(−4	PROPN
ejpam-6624	362	6	+	+	CCONJ
ejpam-6624	362	7	4a2kr	4a2kr	NUM
ejpam-6624	362	8	−	−	NOUN
ejpam-6624	362	9	a2s2	a2s2	NOUN
ejpam-6624	362	10	)	)	PUNCT
ejpam-6624	362	11			PROPN
ejpam-6624	362	12	−2r	−2r	PROPN
ejpam-6624	362	13	cos	cos	PROPN
ejpam-6624	362	14	(	(	PUNCT
ejpam-6624	362	15	√	√	PROPN
ejpam-6624	362	16	−φ	−φ	NOUN
ejpam-6624	362	17	2	2	NUM
ejpam-6624	362	18	β	β	X
ejpam-6624	362	19	)	)	PUNCT
ejpam-6624	362	20	√	√	VERB
ejpam-6624	362	21	−φ	−φ	NOUN
ejpam-6624	362	22	sin	sin	NOUN
ejpam-6624	362	23	(	(	PUNCT
ejpam-6624	362	24	√	√	ADP
ejpam-6624	362	25	−φ	−φ	NOUN
ejpam-6624	362	26	2	2	NUM
ejpam-6624	362	27	β	β	X
ejpam-6624	362	28	)	)	PUNCT
ejpam-6624	363	1	+	+	CCONJ
ejpam-6624	363	2	s	s	VERB
ejpam-6624	363	3	cos	cos	NOUN
ejpam-6624	363	4	(	(	PUNCT
ejpam-6624	363	5	√	√	ADP
ejpam-6624	363	6	−φ	−φ	NOUN
ejpam-6624	363	7	2	2	NUM
ejpam-6624	363	8	β	β	NOUN
ejpam-6624	363	9	)	)	PUNCT
ejpam-6624	363	10			NOUN
ejpam-6624	363	11	,	,	PUNCT
ejpam-6624	363	12	(	(	PUNCT
ejpam-6624	363	13	107	107	NUM
ejpam-6624	363	14	)	)	PUNCT
ejpam-6624	363	15	u21(x	u21(x	NOUN
ejpam-6624	363	16	,	,	PUNCT
ejpam-6624	363	17	y	y	PROPN
ejpam-6624	363	18	,	,	PUNCT
ejpam-6624	363	19	t	t	PROPN
ejpam-6624	363	20	)	)	PUNCT
ejpam-6624	363	21	=	=	SYM
ejpam-6624	364	1	ρ0	ρ0	PROPN
ejpam-6624	364	2	+	+	SYM
ejpam-6624	364	3	a2kξ	a2kξ	VERB
ejpam-6624	364	4	b(−4	b(−4	PROPN
ejpam-6624	364	5	+	+	CCONJ
ejpam-6624	364	6	4a2kr	4a2kr	NUM
ejpam-6624	364	7	−	−	NOUN
ejpam-6624	364	8	a2s2	a2s2	NOUN
ejpam-6624	364	9	)	)	PUNCT
ejpam-6624	364	10			PROPN
ejpam-6624	364	11	2r	2r	NUM
ejpam-6624	364	12	sin	sin	NOUN
ejpam-6624	364	13	(	(	PUNCT
ejpam-6624	364	14	√	√	ADP
ejpam-6624	364	15	−φ	−φ	NOUN
ejpam-6624	364	16	2	2	NUM
ejpam-6624	364	17	β	β	NOUN
ejpam-6624	364	18	)	)	PUNCT
ejpam-6624	364	19	−s	−s	NOUN
ejpam-6624	364	20	sin	sin	NOUN
ejpam-6624	364	21	(	(	PUNCT
ejpam-6624	364	22	√	√	ADP
ejpam-6624	364	23	−φ	−φ	NOUN
ejpam-6624	364	24	2	2	NUM
ejpam-6624	364	25	β	β	X
ejpam-6624	364	26	)	)	PUNCT
ejpam-6624	365	1	+	+	CCONJ
ejpam-6624	365	2	√	√	ADP
ejpam-6624	365	3	−φ	−φ	NOUN
ejpam-6624	365	4	cos	cos	PROPN
ejpam-6624	365	5	(	(	PUNCT
ejpam-6624	365	6	√	√	ADP
ejpam-6624	365	7	−φ	−φ	NOUN
ejpam-6624	365	8	2	2	NUM
ejpam-6624	365	9	β	β	NOUN
ejpam-6624	365	10	)	)	PUNCT
ejpam-6624	365	11			NOUN
ejpam-6624	365	12	,	,	PUNCT
ejpam-6624	365	13	(	(	PUNCT
ejpam-6624	365	14	108	108	NUM
ejpam-6624	365	15	)	)	PUNCT
ejpam-6624	365	16	u22(x	u22(x	PROPN
ejpam-6624	365	17	,	,	PUNCT
ejpam-6624	365	18	y	y	PROPN
ejpam-6624	365	19	,	,	PUNCT
ejpam-6624	365	20	t	t	PROPN
ejpam-6624	365	21	)	)	PUNCT
ejpam-6624	365	22	=	=	SYM
ejpam-6624	366	1	ρ0	ρ0	PROPN
ejpam-6624	366	2	+	+	SYM
ejpam-6624	366	3	a2kξ	a2kξ	VERB
ejpam-6624	366	4	b(−4	b(−4	PROPN
ejpam-6624	366	5	+	+	CCONJ
ejpam-6624	366	6	4a2kr	4a2kr	NUM
ejpam-6624	366	7	−	−	NOUN
ejpam-6624	366	8	a2s2	a2s2	NOUN
ejpam-6624	366	9	)	)	PUNCT
ejpam-6624	366	10	(	(	PUNCT
ejpam-6624	366	11	−2r	−2r	PROPN
ejpam-6624	366	12	cos	cos	PROPN
ejpam-6624	366	13	(	(	PUNCT
ejpam-6624	366	14	√	√	NUM
ejpam-6624	366	15	−φβ)√	−φβ)√	NOUN
ejpam-6624	366	16	−φ	−φ	NOUN
ejpam-6624	366	17	sin	sin	NOUN
ejpam-6624	366	18	(	(	PUNCT
ejpam-6624	366	19	√	√	NUM
ejpam-6624	366	20	−φβ	−φβ	NUM
ejpam-6624	366	21	)	)	PUNCT
ejpam-6624	367	1	+	+	PRON
ejpam-6624	367	2	s	s	VERB
ejpam-6624	367	3	cos	cos	NOUN
ejpam-6624	367	4	(	(	PUNCT
ejpam-6624	367	5	√	√	ADP
ejpam-6624	367	6	−φβ)±	−φβ)±	PRON
ejpam-6624	367	7	√	√	PROPN
ejpam-6624	367	8	−φ	−φ	NOUN
ejpam-6624	367	9	)	)	PUNCT
ejpam-6624	367	10	,	,	PUNCT
ejpam-6624	367	11	(	(	PUNCT
ejpam-6624	367	12	109	109	NUM
ejpam-6624	367	13	)	)	PUNCT
ejpam-6624	367	14	u23(x	u23(x	NOUN
ejpam-6624	367	15	,	,	PUNCT
ejpam-6624	367	16	y	y	PROPN
ejpam-6624	367	17	,	,	PUNCT
ejpam-6624	367	18	t	t	PROPN
ejpam-6624	367	19	)	)	PUNCT
ejpam-6624	367	20	=	=	SYM
ejpam-6624	368	1	ρ0	ρ0	PROPN
ejpam-6624	368	2	+	+	SYM
ejpam-6624	368	3	a2kξ	a2kξ	VERB
ejpam-6624	368	4	b(−4	b(−4	PROPN
ejpam-6624	368	5	+	+	CCONJ
ejpam-6624	368	6	4a2kr	4a2kr	NUM
ejpam-6624	368	7	−	−	NOUN
ejpam-6624	368	8	a2s2	a2s2	NOUN
ejpam-6624	368	9	)	)	PUNCT
ejpam-6624	368	10	(	(	PUNCT
ejpam-6624	368	11	2r	2r	NUM
ejpam-6624	368	12	sin	sin	NOUN
ejpam-6624	368	13	(	(	PUNCT
ejpam-6624	368	14	√	√	NUM
ejpam-6624	368	15	−φβ	−φβ	NUM
ejpam-6624	368	16	)	)	PUNCT
ejpam-6624	368	17	−s	−s	NOUN
ejpam-6624	368	18	sin	sin	NOUN
ejpam-6624	368	19	(	(	PUNCT
ejpam-6624	368	20	√	√	NUM
ejpam-6624	368	21	−φβ	−φβ	NUM
ejpam-6624	368	22	)	)	PUNCT
ejpam-6624	369	1	+	+	CCONJ
ejpam-6624	369	2	√	√	ADP
ejpam-6624	369	3	−φ	−φ	NOUN
ejpam-6624	369	4	cos	cos	PROPN
ejpam-6624	369	5	(	(	PUNCT
ejpam-6624	369	6	√	√	VERB
ejpam-6624	369	7	−φβ)±	−φβ)±	PRON
ejpam-6624	369	8	√	√	PROPN
ejpam-6624	369	9	−φ	−φ	NOUN
ejpam-6624	369	10	)	)	PUNCT
ejpam-6624	369	11	,	,	PUNCT
ejpam-6624	369	12	(	(	PUNCT
ejpam-6624	369	13	110	110	NUM
ejpam-6624	369	14	)	)	PUNCT
ejpam-6624	369	15	u24(x	u24(x	NOUN
ejpam-6624	369	16	,	,	PUNCT
ejpam-6624	369	17	y	y	PROPN
ejpam-6624	369	18	,	,	PUNCT
ejpam-6624	369	19	t	t	PROPN
ejpam-6624	369	20	)	)	PUNCT
ejpam-6624	369	21	=	=	SYM
ejpam-6624	370	1	ρ0	ρ0	PROPN
ejpam-6624	370	2	+	+	SYM
ejpam-6624	370	3	a2kξ	a2kξ	VERB
ejpam-6624	370	4	b(−4	b(−4	PROPN
ejpam-6624	370	5	+	+	CCONJ
ejpam-6624	370	6	4a2kr	4a2kr	NUM
ejpam-6624	370	7	−	−	NOUN
ejpam-6624	370	8	a2s2	a2s2	NOUN
ejpam-6624	370	9	)	)	PUNCT
ejpam-6624	370	10			PROPN
ejpam-6624	370	11	4r	4r	NUM
ejpam-6624	370	12	sin	sin	NOUN
ejpam-6624	370	13	(	(	PUNCT
ejpam-6624	370	14	√	√	ADP
ejpam-6624	370	15	−φ	−φ	NOUN
ejpam-6624	370	16	4	4	NUM
ejpam-6624	370	17	β	β	NOUN
ejpam-6624	370	18	)	)	PUNCT
ejpam-6624	371	1	cos	cos	PROPN
ejpam-6624	371	2	(	(	PUNCT
ejpam-6624	371	3	√	√	ADP
ejpam-6624	371	4	−φ	−φ	NOUN
ejpam-6624	371	5	4	4	NUM
ejpam-6624	371	6	β	β	NOUN
ejpam-6624	371	7	)	)	PUNCT
ejpam-6624	372	1	−2s	−2s	PROPN
ejpam-6624	372	2	sin	sin	NOUN
ejpam-6624	372	3	(	(	PUNCT
ejpam-6624	372	4	√	√	VERB
ejpam-6624	372	5	−φ	−φ	NOUN
ejpam-6624	372	6	4	4	NUM
ejpam-6624	372	7	β	β	NOUN
ejpam-6624	372	8	)	)	PUNCT
ejpam-6624	372	9	cos	cos	PROPN
ejpam-6624	372	10	(	(	PUNCT
ejpam-6624	372	11	√	√	ADP
ejpam-6624	372	12	−φ	−φ	NOUN
ejpam-6624	372	13	4	4	NUM
ejpam-6624	372	14	β	β	NOUN
ejpam-6624	372	15	)	)	PUNCT
ejpam-6624	373	1	+	+	CCONJ
ejpam-6624	373	2	2	2	NUM
ejpam-6624	373	3	√	√	NUM
ejpam-6624	373	4	−φ	−φ	NOUN
ejpam-6624	373	5	cos2	cos2	NOUN
ejpam-6624	373	6	(	(	PUNCT
ejpam-6624	373	7	√	√	ADP
ejpam-6624	373	8	−φ	−φ	NOUN
ejpam-6624	373	9	4	4	NUM
ejpam-6624	373	10	β	β	NOUN
ejpam-6624	373	11	)	)	PUNCT
ejpam-6624	374	1	−	−	ADP
ejpam-6624	374	2	√	√	NUM
ejpam-6624	375	1	−φ	−φ	NUM
ejpam-6624	375	2			NOUN
ejpam-6624	375	3	,	,	PUNCT
ejpam-6624	375	4	(	(	PUNCT
ejpam-6624	375	5	111	111	NUM
ejpam-6624	375	6	)	)	PUNCT
ejpam-6624	375	7	s.	s.	PROPN
ejpam-6624	375	8	phoosree	phoosree	INTJ
ejpam-6624	375	9	et	et	PROPN
ejpam-6624	375	10	al	al	PROPN
ejpam-6624	375	11	.	.	PUNCT
ejpam-6624	375	12	/	/	SYM
ejpam-6624	375	13	eur	eur	PROPN
ejpam-6624	375	14	.	.	PUNCT
ejpam-6624	376	1	j.	j.	PROPN
ejpam-6624	376	2	pure	pure	PROPN
ejpam-6624	376	3	appl	appl	PROPN
ejpam-6624	376	4	.	.	PROPN
ejpam-6624	376	5	math	math	PROPN
ejpam-6624	376	6	,	,	PUNCT
ejpam-6624	376	7	18	18	NUM
ejpam-6624	376	8	(	(	PUNCT
ejpam-6624	376	9	4	4	NUM
ejpam-6624	376	10	)	)	PUNCT
ejpam-6624	376	11	(	(	PUNCT
ejpam-6624	376	12	2025	2025	NUM
ejpam-6624	376	13	)	)	PUNCT
ejpam-6624	376	14	,	,	PUNCT
ejpam-6624	376	15	6624	6624	NUM
ejpam-6624	376	16	18	18	NUM
ejpam-6624	376	17	of	of	ADP
ejpam-6624	376	18	24	24	NUM
ejpam-6624	376	19	figure	figure	NOUN
ejpam-6624	376	20	1	1	NUM
ejpam-6624	376	21	:	:	PUNCT
ejpam-6624	376	22	three	three	NUM
ejpam-6624	376	23	-	-	PUNCT
ejpam-6624	376	24	dimensional	dimensional	ADJ
ejpam-6624	376	25	,	,	PUNCT
ejpam-6624	376	26	two	two	NUM
ejpam-6624	376	27	-	-	PUNCT
ejpam-6624	376	28	dimensional	dimensional	ADJ
ejpam-6624	376	29	,	,	PUNCT
ejpam-6624	376	30	and	and	CCONJ
ejpam-6624	376	31	contour	contour	NOUN
ejpam-6624	376	32	plots	plot	NOUN
ejpam-6624	376	33	of	of	ADP
ejpam-6624	376	34	the	the	DET
ejpam-6624	376	35	kink	kink	NOUN
ejpam-6624	376	36	-	-	PUNCT
ejpam-6624	376	37	type	type	NOUN
ejpam-6624	376	38	solution	solution	NOUN
ejpam-6624	376	39	given	give	VERB
ejpam-6624	376	40	by	by	ADP
ejpam-6624	376	41	equation	equation	NOUN
ejpam-6624	376	42	(	(	PUNCT
ejpam-6624	376	43	88	88	NUM
ejpam-6624	376	44	)	)	PUNCT
ejpam-6624	376	45	with	with	ADP
ejpam-6624	376	46	parameters	parameter	NOUN
ejpam-6624	376	47	(	(	PUNCT
ejpam-6624	376	48	a	a	PRON
ejpam-6624	376	49	,	,	PUNCT
ejpam-6624	376	50	b	b	NOUN
ejpam-6624	376	51	,	,	PUNCT
ejpam-6624	376	52	s	s	X
ejpam-6624	376	53	,	,	PUNCT
ejpam-6624	376	54	r	r	NOUN
ejpam-6624	376	55	,	,	PUNCT
ejpam-6624	376	56	k	k	PROPN
ejpam-6624	376	57	,	,	PUNCT
ejpam-6624	376	58	ξ	ξ	PROPN
ejpam-6624	376	59	,	,	PUNCT
ejpam-6624	376	60	α	α	NOUN
ejpam-6624	376	61	)	)	PUNCT
ejpam-6624	376	62	=	=	SYM
ejpam-6624	376	63	(	(	PUNCT
ejpam-6624	376	64	1	1	NUM
ejpam-6624	376	65	,	,	PUNCT
ejpam-6624	376	66	1	1	NUM
ejpam-6624	376	67	,	,	PUNCT
ejpam-6624	376	68	3	3	NUM
ejpam-6624	376	69	,	,	PUNCT
ejpam-6624	376	70	2	2	NUM
ejpam-6624	376	71	,	,	PUNCT
ejpam-6624	376	72	1	1	NUM
ejpam-6624	376	73	,	,	PUNCT
ejpam-6624	376	74	2	2	NUM
ejpam-6624	376	75	,	,	PUNCT
ejpam-6624	376	76	0.5	0.5	NUM
ejpam-6624	376	77	)	)	PUNCT
ejpam-6624	376	78	.	.	PUNCT
ejpam-6624	377	1	the	the	DET
ejpam-6624	377	2	figure	figure	NOUN
ejpam-6624	377	3	illustrates	illustrate	VERB
ejpam-6624	377	4	the	the	DET
ejpam-6624	377	5	formation	formation	NOUN
ejpam-6624	377	6	of	of	ADP
ejpam-6624	377	7	a	a	DET
ejpam-6624	377	8	localized	localized	ADJ
ejpam-6624	377	9	traveling	travel	VERB
ejpam-6624	377	10	wave	wave	NOUN
ejpam-6624	377	11	structure	structure	NOUN
ejpam-6624	377	12	that	that	PRON
ejpam-6624	377	13	remains	remain	VERB
ejpam-6624	377	14	stable	stable	ADJ
ejpam-6624	377	15	along	along	ADP
ejpam-6624	377	16	both	both	DET
ejpam-6624	377	17	x	x	NOUN
ejpam-6624	377	18	-	-	NOUN
ejpam-6624	377	19	direction	direction	NOUN
ejpam-6624	377	20	and	and	CCONJ
ejpam-6624	377	21	y	y	NOUN
ejpam-6624	377	22	-	-	PUNCT
ejpam-6624	377	23	direction	direction	NOUN
ejpam-6624	377	24	.	.	PUNCT
ejpam-6624	378	1	figure	figure	NOUN
ejpam-6624	378	2	2	2	NUM
ejpam-6624	378	3	:	:	PUNCT
ejpam-6624	378	4	three	three	NUM
ejpam-6624	378	5	-	-	PUNCT
ejpam-6624	378	6	dimensional	dimensional	ADJ
ejpam-6624	378	7	,	,	PUNCT
ejpam-6624	378	8	two	two	NUM
ejpam-6624	378	9	-	-	PUNCT
ejpam-6624	378	10	dimensional	dimensional	ADJ
ejpam-6624	378	11	,	,	PUNCT
ejpam-6624	378	12	and	and	CCONJ
ejpam-6624	379	1	contour	contour	NOUN
ejpam-6624	379	2	plots	plot	NOUN
ejpam-6624	379	3	of	of	ADP
ejpam-6624	379	4	the	the	DET
ejpam-6624	379	5	kink	kink	NOUN
ejpam-6624	379	6	-	-	PUNCT
ejpam-6624	379	7	type	type	NOUN
ejpam-6624	379	8	solution	solution	NOUN
ejpam-6624	379	9	corresponding	correspond	VERB
ejpam-6624	379	10	to	to	ADP
ejpam-6624	379	11	equation	equation	NOUN
ejpam-6624	379	12	(	(	PUNCT
ejpam-6624	379	13	94	94	NUM
ejpam-6624	379	14	)	)	PUNCT
ejpam-6624	379	15	.	.	PUNCT
ejpam-6624	380	1	the	the	DET
ejpam-6624	380	2	selected	select	VERB
ejpam-6624	380	3	parameters	parameter	NOUN
ejpam-6624	380	4	highlight	highlight	VERB
ejpam-6624	380	5	the	the	DET
ejpam-6624	380	6	sensitivity	sensitivity	NOUN
ejpam-6624	380	7	of	of	ADP
ejpam-6624	380	8	the	the	DET
ejpam-6624	380	9	wave	wave	NOUN
ejpam-6624	380	10	profile	profile	NOUN
ejpam-6624	380	11	to	to	AUX
ejpam-6624	380	12	changes	change	NOUN
ejpam-6624	380	13	in	in	ADP
ejpam-6624	380	14	r	r	NOUN
ejpam-6624	380	15	and	and	CCONJ
ejpam-6624	380	16	k	k	NOUN
ejpam-6624	380	17	,	,	PUNCT
ejpam-6624	380	18	resulting	result	VERB
ejpam-6624	380	19	in	in	ADP
ejpam-6624	380	20	a	a	DET
ejpam-6624	380	21	steeper	steep	ADJ
ejpam-6624	380	22	kink	kink	NOUN
ejpam-6624	380	23	structure	structure	NOUN
ejpam-6624	380	24	compared	compare	VERB
ejpam-6624	380	25	to	to	PART
ejpam-6624	380	26	figure	figure	VERB
ejpam-6624	380	27	1	1	NUM
ejpam-6624	380	28	.	.	PUNCT
ejpam-6624	380	29	type	type	NOUN
ejpam-6624	380	30	iii	iii	PROPN
ejpam-6624	380	31	:	:	PUNCT
ejpam-6624	380	32	when	when	SCONJ
ejpam-6624	380	33	r	r	NOUN
ejpam-6624	380	34	=	=	SYM
ejpam-6624	380	35	0	0	NUM
ejpam-6624	380	36	and	and	CCONJ
ejpam-6624	380	37	sk	sk	ADP
ejpam-6624	380	38	̸=	̸=	PROPN
ejpam-6624	380	39	0	0	NUM
ejpam-6624	380	40	,	,	PUNCT
ejpam-6624	380	41	we	we	PRON
ejpam-6624	380	42	get	get	VERB
ejpam-6624	380	43	u25(x	u25(x	NOUN
ejpam-6624	380	44	,	,	PUNCT
ejpam-6624	380	45	y	y	PROPN
ejpam-6624	380	46	,	,	PUNCT
ejpam-6624	380	47	t	t	PROPN
ejpam-6624	380	48	)	)	PUNCT
ejpam-6624	381	1	=	=	SYM
ejpam-6624	381	2	ρ0	ρ0	PROPN
ejpam-6624	381	3	+	+	SYM
ejpam-6624	381	4	a2kξ	a2kξ	VERB
ejpam-6624	381	5	b(−4	b(−4	PROPN
ejpam-6624	381	6	+	+	CCONJ
ejpam-6624	381	7	4a2kr	4a2kr	NUM
ejpam-6624	381	8	−	−	NOUN
ejpam-6624	381	9	a2s2	a2s2	NOUN
ejpam-6624	381	10	)	)	PUNCT
ejpam-6624	381	11	(	(	PUNCT
ejpam-6624	381	12	−sψ	−sψ	ADJ
ejpam-6624	381	13	k(ψ	k(ψ	PROPN
ejpam-6624	381	14	+	+	PROPN
ejpam-6624	381	15	cosh(sβ)−	cosh(sβ)−	PROPN
ejpam-6624	381	16	sinh(sβ	sinh(sβ	NOUN
ejpam-6624	381	17	)	)	PUNCT
ejpam-6624	381	18	)	)	PUNCT
ejpam-6624	381	19	)	)	PUNCT
ejpam-6624	381	20	,	,	PUNCT
ejpam-6624	381	21	(	(	PUNCT
ejpam-6624	381	22	112	112	NUM
ejpam-6624	381	23	)	)	PUNCT
ejpam-6624	381	24	u26(x	u26(x	PROPN
ejpam-6624	381	25	,	,	PUNCT
ejpam-6624	381	26	y	y	PROPN
ejpam-6624	381	27	,	,	PUNCT
ejpam-6624	381	28	t	t	PROPN
ejpam-6624	381	29	)	)	PUNCT
ejpam-6624	381	30	=	=	SYM
ejpam-6624	382	1	ρ0	ρ0	PROPN
ejpam-6624	382	2	+	+	SYM
ejpam-6624	382	3	a2kξ	a2kξ	VERB
ejpam-6624	382	4	b(−4	b(−4	PROPN
ejpam-6624	382	5	+	+	CCONJ
ejpam-6624	382	6	4a2kr	4a2kr	NUM
ejpam-6624	382	7	−	−	NOUN
ejpam-6624	382	8	a2s2	a2s2	NOUN
ejpam-6624	382	9	)	)	PUNCT
ejpam-6624	382	10	(	(	PUNCT
ejpam-6624	382	11	−s(cosh(sβ	−s(cosh(sβ	NOUN
ejpam-6624	382	12	)	)	PUNCT
ejpam-6624	383	1	+	+	CCONJ
ejpam-6624	383	2	sinh(sβ	sinh(sβ	NOUN
ejpam-6624	383	3	)	)	PUNCT
ejpam-6624	383	4	)	)	PUNCT
ejpam-6624	384	1	k(ψ	k(ψ	PROPN
ejpam-6624	384	2	+	+	PROPN
ejpam-6624	384	3	cosh(sβ)−	cosh(sβ)−	PROPN
ejpam-6624	384	4	sinh(sβ	sinh(sβ	NOUN
ejpam-6624	384	5	)	)	PUNCT
ejpam-6624	384	6	)	)	PUNCT
ejpam-6624	384	7	)	)	PUNCT
ejpam-6624	384	8	,	,	PUNCT
ejpam-6624	384	9	(	(	PUNCT
ejpam-6624	384	10	113	113	NUM
ejpam-6624	384	11	)	)	PUNCT
ejpam-6624	384	12	for	for	ADP
ejpam-6624	384	13	any	any	DET
ejpam-6624	384	14	constant	constant	ADJ
ejpam-6624	384	15	ψ	ψ	NOUN
ejpam-6624	384	16	that	that	PRON
ejpam-6624	384	17	is	be	AUX
ejpam-6624	384	18	arbitrary	arbitrary	ADJ
ejpam-6624	384	19	.	.	PUNCT
ejpam-6624	385	1	type	type	NOUN
ejpam-6624	385	2	iv	iv	NOUN
ejpam-6624	385	3	:	:	PUNCT
ejpam-6624	385	4	when	when	SCONJ
ejpam-6624	385	5	r	r	NOUN
ejpam-6624	385	6	=	=	SYM
ejpam-6624	385	7	s	s	NOUN
ejpam-6624	385	8	=	=	NOUN
ejpam-6624	385	9	0	0	PROPN
ejpam-6624	385	10	and	and	CCONJ
ejpam-6624	385	11	k	k	PROPN
ejpam-6624	385	12	̸=	̸=	PROPN
ejpam-6624	385	13	0	0	NUM
ejpam-6624	385	14	,	,	PUNCT
ejpam-6624	385	15	we	we	PRON
ejpam-6624	385	16	get	get	VERB
ejpam-6624	385	17	u27(x	u27(x	NOUN
ejpam-6624	385	18	,	,	PUNCT
ejpam-6624	385	19	y	y	PROPN
ejpam-6624	385	20	,	,	PUNCT
ejpam-6624	385	21	t	t	PROPN
ejpam-6624	385	22	)	)	PUNCT
ejpam-6624	386	1	=	=	SYM
ejpam-6624	386	2	ρ0	ρ0	PROPN
ejpam-6624	386	3	+	+	SYM
ejpam-6624	386	4	a2kξ	a2kξ	VERB
ejpam-6624	386	5	b(−4	b(−4	PROPN
ejpam-6624	386	6	+	+	CCONJ
ejpam-6624	386	7	4a2kr	4a2kr	NUM
ejpam-6624	386	8	−	−	NOUN
ejpam-6624	386	9	a2s2	a2s2	NOUN
ejpam-6624	386	10	)	)	PUNCT
ejpam-6624	386	11	(	(	PUNCT
ejpam-6624	386	12	−	−	PROPN
ejpam-6624	386	13	1	1	NUM
ejpam-6624	386	14	kβ	kβ	NOUN
ejpam-6624	386	15	+	+	CCONJ
ejpam-6624	386	16	ζ	ζ	NOUN
ejpam-6624	386	17	)	)	PUNCT
ejpam-6624	386	18	.	.	PUNCT
ejpam-6624	387	1	(	(	PUNCT
ejpam-6624	387	2	114	114	NUM
ejpam-6624	387	3	)	)	PUNCT
ejpam-6624	387	4	in	in	ADP
ejpam-6624	387	5	this	this	DET
ejpam-6624	387	6	case	case	NOUN
ejpam-6624	387	7	,	,	PUNCT
ejpam-6624	387	8	ζ	ζ	NOUN
ejpam-6624	387	9	is	be	AUX
ejpam-6624	387	10	a	a	DET
ejpam-6624	387	11	constant	constant	ADJ
ejpam-6624	387	12	that	that	PRON
ejpam-6624	387	13	may	may	AUX
ejpam-6624	387	14	be	be	AUX
ejpam-6624	387	15	selected	select	VERB
ejpam-6624	387	16	with	with	ADP
ejpam-6624	387	17	no	no	DET
ejpam-6624	387	18	limitations	limitation	NOUN
ejpam-6624	387	19	,	,	PUNCT
ejpam-6624	387	20	where	where	SCONJ
ejpam-6624	387	21	β	β	NOUN
ejpam-6624	387	22	=	=	VERB
ejpam-6624	387	23	axα	axα	VERB
ejpam-6624	387	24	γ(α+	γ(α+	DET
ejpam-6624	387	25	1	1	NUM
ejpam-6624	387	26	)	)	PUNCT
ejpam-6624	387	27	+	+	NUM
ejpam-6624	387	28	byα	byα	ADJ
ejpam-6624	387	29	γ(α+	γ(α+	ADJ
ejpam-6624	387	30	1	1	NUM
ejpam-6624	387	31	)	)	PUNCT
ejpam-6624	387	32	−	−	NOUN
ejpam-6624	387	33	aξtα	aξtα	NOUN
ejpam-6624	387	34	(	(	PUNCT
ejpam-6624	387	35	−4	−4	X
ejpam-6624	387	36	+	+	SYM
ejpam-6624	387	37	4a2kr	4a2kr	NUM
ejpam-6624	387	38	−	−	NOUN
ejpam-6624	387	39	a2s2)γ(α+	a2s2)γ(α+	PRON
ejpam-6624	387	40	1	1	NUM
ejpam-6624	387	41	)	)	PUNCT
ejpam-6624	387	42	.	.	PUNCT
ejpam-6624	388	1	4	4	X
ejpam-6624	388	2	.	.	NOUN
ejpam-6624	388	3	results	result	NOUN
ejpam-6624	388	4	and	and	CCONJ
ejpam-6624	388	5	discussions	discussion	NOUN
ejpam-6624	388	6	this	this	DET
ejpam-6624	388	7	section	section	NOUN
ejpam-6624	388	8	examines	examine	VERB
ejpam-6624	388	9	the	the	DET
ejpam-6624	388	10	precise	precise	ADJ
ejpam-6624	388	11	solutions	solution	NOUN
ejpam-6624	388	12	derived	derive	VERB
ejpam-6624	388	13	for	for	ADP
ejpam-6624	388	14	the	the	DET
ejpam-6624	388	15	space	space	NOUN
ejpam-6624	388	16	-	-	PUNCT
ejpam-6624	388	17	time	time	NOUN
ejpam-6624	388	18	fractional	fractional	ADJ
ejpam-6624	388	19	ckg	ckg	NOUN
ejpam-6624	388	20	and	and	CCONJ
ejpam-6624	388	21	akns	akns	NOUN
ejpam-6624	388	22	equations	equation	NOUN
ejpam-6624	388	23	by	by	ADP
ejpam-6624	388	24	the	the	DET
ejpam-6624	388	25	application	application	NOUN
ejpam-6624	388	26	of	of	ADP
ejpam-6624	388	27	the	the	DET
ejpam-6624	388	28	generalized	generalize	VERB
ejpam-6624	388	29	riccati	riccati	NOUN
ejpam-6624	388	30	equation	equation	NOUN
ejpam-6624	388	31	mapping	map	VERB
ejpam-6624	388	32	s.	s.	PROPN
ejpam-6624	388	33	phoosree	phoosree	PROPN
ejpam-6624	388	34	et	et	PROPN
ejpam-6624	388	35	al	al	PROPN
ejpam-6624	388	36	.	.	PUNCT
ejpam-6624	388	37	/	/	SYM
ejpam-6624	388	38	eur	eur	PROPN
ejpam-6624	388	39	.	.	PUNCT
ejpam-6624	389	1	j.	j.	PROPN
ejpam-6624	389	2	pure	pure	PROPN
ejpam-6624	389	3	appl	appl	PROPN
ejpam-6624	389	4	.	.	PROPN
ejpam-6624	389	5	math	math	PROPN
ejpam-6624	389	6	,	,	PUNCT
ejpam-6624	389	7	18	18	NUM
ejpam-6624	389	8	(	(	PUNCT
ejpam-6624	389	9	4	4	NUM
ejpam-6624	389	10	)	)	PUNCT
ejpam-6624	389	11	(	(	PUNCT
ejpam-6624	389	12	2025	2025	NUM
ejpam-6624	389	13	)	)	PUNCT
ejpam-6624	389	14	,	,	PUNCT
ejpam-6624	389	15	6624	6624	NUM
ejpam-6624	389	16	19	19	NUM
ejpam-6624	389	17	of	of	ADP
ejpam-6624	389	18	24	24	NUM
ejpam-6624	389	19	figure	figure	NOUN
ejpam-6624	389	20	3	3	NUM
ejpam-6624	389	21	:	:	PUNCT
ejpam-6624	389	22	three	three	NUM
ejpam-6624	389	23	-	-	PUNCT
ejpam-6624	389	24	dimensional	dimensional	ADJ
ejpam-6624	389	25	,	,	PUNCT
ejpam-6624	389	26	two	two	NUM
ejpam-6624	389	27	-	-	PUNCT
ejpam-6624	389	28	dimensional	dimensional	ADJ
ejpam-6624	389	29	,	,	PUNCT
ejpam-6624	389	30	and	and	CCONJ
ejpam-6624	389	31	contour	contour	NOUN
ejpam-6624	389	32	plots	plot	NOUN
ejpam-6624	389	33	of	of	ADP
ejpam-6624	389	34	the	the	DET
ejpam-6624	389	35	periodic	periodic	ADJ
ejpam-6624	389	36	solution	solution	NOUN
ejpam-6624	389	37	corresponding	correspond	VERB
ejpam-6624	389	38	to	to	ADP
ejpam-6624	389	39	equation	equation	NOUN
ejpam-6624	389	40	(	(	PUNCT
ejpam-6624	389	41	100	100	NUM
ejpam-6624	389	42	)	)	PUNCT
ejpam-6624	389	43	with	with	ADP
ejpam-6624	389	44	parameters	parameter	NOUN
ejpam-6624	389	45	s	s	PART
ejpam-6624	389	46	=	=	SYM
ejpam-6624	389	47	2	2	NUM
ejpam-6624	389	48	,	,	PUNCT
ejpam-6624	389	49	r	r	NOUN
ejpam-6624	389	50	=	=	SYM
ejpam-6624	389	51	2	2	NUM
ejpam-6624	389	52	and	and	CCONJ
ejpam-6624	389	53	k	k	NOUN
ejpam-6624	389	54	=	=	NOUN
ejpam-6624	389	55	2	2	X
ejpam-6624	389	56	.	.	PUNCT
ejpam-6624	390	1	the	the	DET
ejpam-6624	390	2	oscillatory	oscillatory	ADJ
ejpam-6624	390	3	structure	structure	NOUN
ejpam-6624	390	4	confirms	confirm	VERB
ejpam-6624	390	5	the	the	DET
ejpam-6624	390	6	trigonometric	trigonometric	ADJ
ejpam-6624	390	7	nature	nature	NOUN
ejpam-6624	390	8	of	of	ADP
ejpam-6624	390	9	this	this	DET
ejpam-6624	390	10	class	class	NOUN
ejpam-6624	390	11	of	of	ADP
ejpam-6624	390	12	exact	exact	ADJ
ejpam-6624	390	13	solutions	solution	NOUN
ejpam-6624	390	14	.	.	PUNCT
ejpam-6624	391	1	figure	figure	VERB
ejpam-6624	391	2	4	4	NUM
ejpam-6624	391	3	:	:	SYM
ejpam-6624	391	4	three	three	NUM
ejpam-6624	391	5	-	-	PUNCT
ejpam-6624	391	6	dimensional	dimensional	ADJ
ejpam-6624	391	7	,	,	PUNCT
ejpam-6624	391	8	two	two	NUM
ejpam-6624	391	9	-	-	PUNCT
ejpam-6624	391	10	dimensional	dimensional	ADJ
ejpam-6624	391	11	,	,	PUNCT
ejpam-6624	391	12	and	and	CCONJ
ejpam-6624	391	13	contour	contour	NOUN
ejpam-6624	391	14	plots	plot	NOUN
ejpam-6624	391	15	of	of	ADP
ejpam-6624	391	16	the	the	DET
ejpam-6624	391	17	periodic	periodic	ADJ
ejpam-6624	391	18	solution	solution	NOUN
ejpam-6624	391	19	derived	derive	VERB
ejpam-6624	391	20	from	from	ADP
ejpam-6624	391	21	equation	equation	NOUN
ejpam-6624	391	22	(	(	PUNCT
ejpam-6624	391	23	106	106	NUM
ejpam-6624	391	24	)	)	PUNCT
ejpam-6624	391	25	.	.	PUNCT
ejpam-6624	392	1	the	the	DET
ejpam-6624	392	2	parameter	parameter	NOUN
ejpam-6624	392	3	choice	choice	NOUN
ejpam-6624	392	4	enhances	enhance	VERB
ejpam-6624	392	5	the	the	DET
ejpam-6624	392	6	oscillatory	oscillatory	ADJ
ejpam-6624	392	7	pattern	pattern	NOUN
ejpam-6624	392	8	,	,	PUNCT
ejpam-6624	392	9	demonstrating	demonstrate	VERB
ejpam-6624	392	10	the	the	DET
ejpam-6624	392	11	flexibility	flexibility	NOUN
ejpam-6624	392	12	of	of	ADP
ejpam-6624	392	13	the	the	DET
ejpam-6624	392	14	generalized	generalize	VERB
ejpam-6624	392	15	riccati	riccati	NOUN
ejpam-6624	392	16	equation	equation	NOUN
ejpam-6624	392	17	mapping	mapping	NOUN
ejpam-6624	392	18	method	method	NOUN
ejpam-6624	392	19	in	in	ADP
ejpam-6624	392	20	capturing	capture	VERB
ejpam-6624	392	21	recurrent	recurrent	ADJ
ejpam-6624	392	22	nonlinear	nonlinear	ADJ
ejpam-6624	392	23	wave	wave	NOUN
ejpam-6624	392	24	dynamics	dynamic	NOUN
ejpam-6624	392	25	.	.	PUNCT
ejpam-6624	393	1	method	method	PROPN
ejpam-6624	393	2	.	.	PUNCT
ejpam-6624	394	1	a	a	DET
ejpam-6624	394	2	total	total	NOUN
ejpam-6624	394	3	of	of	ADP
ejpam-6624	394	4	twenty	twenty	NUM
ejpam-6624	394	5	-	-	PUNCT
ejpam-6624	394	6	seven	seven	NUM
ejpam-6624	394	7	analytical	analytical	ADJ
ejpam-6624	394	8	solutions	solution	NOUN
ejpam-6624	394	9	were	be	AUX
ejpam-6624	394	10	obtained	obtain	VERB
ejpam-6624	394	11	,	,	PUNCT
ejpam-6624	394	12	comprising	comprise	VERB
ejpam-6624	394	13	fourteen	fourteen	NUM
ejpam-6624	394	14	hyperbolic	hyperbolic	ADJ
ejpam-6624	394	15	functions	function	NOUN
ejpam-6624	394	16	,	,	PUNCT
ejpam-6624	394	17	twelve	twelve	NUM
ejpam-6624	394	18	trigonometric	trigonometric	ADJ
ejpam-6624	394	19	functions	function	NOUN
ejpam-6624	394	20	,	,	PUNCT
ejpam-6624	394	21	and	and	CCONJ
ejpam-6624	394	22	one	one	NUM
ejpam-6624	394	23	rational	rational	ADJ
ejpam-6624	394	24	function	function	NOUN
ejpam-6624	394	25	.	.	PUNCT
ejpam-6624	395	1	these	these	DET
ejpam-6624	395	2	solutions	solution	NOUN
ejpam-6624	395	3	demonstrate	demonstrate	VERB
ejpam-6624	395	4	kink	kink	NOUN
ejpam-6624	395	5	-	-	PUNCT
ejpam-6624	395	6	type	type	NOUN
ejpam-6624	395	7	and	and	CCONJ
ejpam-6624	395	8	periodic	periodic	ADJ
ejpam-6624	395	9	behaviors	behavior	NOUN
ejpam-6624	395	10	contingent	contingent	ADJ
ejpam-6624	395	11	upon	upon	SCONJ
ejpam-6624	395	12	the	the	DET
ejpam-6624	395	13	parameter	parameter	NOUN
ejpam-6624	395	14	combinations	combination	NOUN
ejpam-6624	395	15	.	.	PUNCT
ejpam-6624	396	1	the	the	DET
ejpam-6624	396	2	parameter	parameter	NOUN
ejpam-6624	396	3	values	value	NOUN
ejpam-6624	396	4	used	use	VERB
ejpam-6624	396	5	in	in	ADP
ejpam-6624	396	6	the	the	DET
ejpam-6624	396	7	graphical	graphical	ADJ
ejpam-6624	396	8	simulations	simulation	NOUN
ejpam-6624	396	9	were	be	AUX
ejpam-6624	396	10	carefully	carefully	ADV
ejpam-6624	396	11	chosen	choose	VERB
ejpam-6624	396	12	to	to	PART
ejpam-6624	396	13	highlight	highlight	VERB
ejpam-6624	396	14	different	different	ADJ
ejpam-6624	396	15	wave	wave	NOUN
ejpam-6624	396	16	phenomena	phenomenon	NOUN
ejpam-6624	396	17	.	.	PUNCT
ejpam-6624	397	1	specifically	specifically	ADV
ejpam-6624	397	2	,	,	PUNCT
ejpam-6624	397	3	the	the	DET
ejpam-6624	397	4	constants	constant	NOUN
ejpam-6624	397	5	a	a	DET
ejpam-6624	397	6	=	=	SYM
ejpam-6624	397	7	b	b	NOUN
ejpam-6624	397	8	=	=	SYM
ejpam-6624	397	9	1	1	NUM
ejpam-6624	397	10	and	and	CCONJ
ejpam-6624	397	11	α	α	NOUN
ejpam-6624	397	12	=	=	SYM
ejpam-6624	397	13	0.5	0.5	NUM
ejpam-6624	397	14	were	be	AUX
ejpam-6624	397	15	selected	select	VERB
ejpam-6624	397	16	to	to	PART
ejpam-6624	397	17	simplify	simplify	VERB
ejpam-6624	397	18	the	the	DET
ejpam-6624	397	19	traveling	travel	VERB
ejpam-6624	397	20	wave	wave	NOUN
ejpam-6624	397	21	transformation	transformation	NOUN
ejpam-6624	397	22	while	while	SCONJ
ejpam-6624	397	23	still	still	ADV
ejpam-6624	397	24	reflecting	reflect	VERB
ejpam-6624	397	25	the	the	DET
ejpam-6624	397	26	effect	effect	NOUN
ejpam-6624	397	27	of	of	ADP
ejpam-6624	397	28	fractional	fractional	ADJ
ejpam-6624	397	29	order	order	NOUN
ejpam-6624	397	30	.	.	PUNCT
ejpam-6624	398	1	the	the	DET
ejpam-6624	398	2	riccati	riccati	PROPN
ejpam-6624	398	3	parameters	parameter	NOUN
ejpam-6624	398	4	s	s	PART
ejpam-6624	398	5	,	,	PUNCT
ejpam-6624	398	6	r	r	NOUN
ejpam-6624	398	7	,	,	PUNCT
ejpam-6624	398	8	and	and	CCONJ
ejpam-6624	398	9	k	k	PROPN
ejpam-6624	398	10	were	be	AUX
ejpam-6624	398	11	tuned	tune	VERB
ejpam-6624	398	12	to	to	PART
ejpam-6624	398	13	control	control	VERB
ejpam-6624	398	14	the	the	DET
ejpam-6624	398	15	balance	balance	NOUN
ejpam-6624	398	16	between	between	ADP
ejpam-6624	398	17	nonlinear	nonlinear	ADJ
ejpam-6624	398	18	and	and	CCONJ
ejpam-6624	398	19	dispersive	dispersive	ADJ
ejpam-6624	398	20	effects	effect	NOUN
ejpam-6624	398	21	,	,	PUNCT
ejpam-6624	398	22	thereby	thereby	ADV
ejpam-6624	398	23	allowing	allow	VERB
ejpam-6624	398	24	a	a	DET
ejpam-6624	398	25	transition	transition	NOUN
ejpam-6624	398	26	between	between	ADP
ejpam-6624	398	27	kink	kink	NOUN
ejpam-6624	398	28	-	-	PUNCT
ejpam-6624	398	29	type	type	NOUN
ejpam-6624	398	30	and	and	CCONJ
ejpam-6624	398	31	periodic	periodic	ADJ
ejpam-6624	398	32	solutions	solution	NOUN
ejpam-6624	398	33	.	.	PUNCT
ejpam-6624	399	1	additional	additional	ADJ
ejpam-6624	399	2	constants	constant	NOUN
ejpam-6624	399	3	such	such	ADJ
ejpam-6624	399	4	as	as	ADP
ejpam-6624	399	5	µ	µ	PROPN
ejpam-6624	399	6	,	,	PUNCT
ejpam-6624	399	7	σ	σ	PROPN
ejpam-6624	399	8	,	,	PUNCT
ejpam-6624	399	9	ψ	ψ	ADP
ejpam-6624	399	10	,	,	PUNCT
ejpam-6624	399	11	and	and	CCONJ
ejpam-6624	399	12	ζ	ζ	NOUN
ejpam-6624	399	13	were	be	AUX
ejpam-6624	399	14	assigned	assign	VERB
ejpam-6624	399	15	small	small	ADJ
ejpam-6624	399	16	integer	integer	NOUN
ejpam-6624	399	17	values	value	NOUN
ejpam-6624	399	18	to	to	PART
ejpam-6624	399	19	generate	generate	VERB
ejpam-6624	399	20	nontrivial	nontrivial	ADJ
ejpam-6624	399	21	structures	structure	NOUN
ejpam-6624	399	22	without	without	ADP
ejpam-6624	399	23	introducing	introduce	VERB
ejpam-6624	399	24	unnecessary	unnecessary	ADJ
ejpam-6624	399	25	complexity	complexity	NOUN
ejpam-6624	399	26	.	.	PUNCT
ejpam-6624	400	1	the	the	DET
ejpam-6624	400	2	complete	complete	ADJ
ejpam-6624	400	3	set	set	NOUN
ejpam-6624	400	4	of	of	ADP
ejpam-6624	400	5	parameter	parameter	NOUN
ejpam-6624	400	6	values	value	NOUN
ejpam-6624	400	7	corresponding	correspond	VERB
ejpam-6624	400	8	to	to	ADP
ejpam-6624	400	9	each	each	DET
ejpam-6624	400	10	figure	figure	NOUN
ejpam-6624	400	11	is	be	AUX
ejpam-6624	400	12	summarized	summarize	VERB
ejpam-6624	400	13	in	in	ADP
ejpam-6624	400	14	table	table	NOUN
ejpam-6624	400	15	1	1	NUM
ejpam-6624	400	16	,	,	PUNCT
ejpam-6624	400	17	ensuring	ensure	VERB
ejpam-6624	400	18	the	the	DET
ejpam-6624	400	19	reproducibility	reproducibility	NOUN
ejpam-6624	400	20	of	of	ADP
ejpam-6624	400	21	the	the	DET
ejpam-6624	400	22	results	result	NOUN
ejpam-6624	400	23	.	.	PUNCT
ejpam-6624	401	1	figures	figure	VERB
ejpam-6624	401	2	1–5	1–5	NUM
ejpam-6624	401	3	depict	depict	PROPN
ejpam-6624	401	4	representative	representative	NOUN
ejpam-6624	401	5	three	three	NUM
ejpam-6624	401	6	-	-	PUNCT
ejpam-6624	401	7	dimensional	dimensional	ADJ
ejpam-6624	401	8	,	,	PUNCT
ejpam-6624	401	9	two	two	NUM
ejpam-6624	401	10	-	-	PUNCT
ejpam-6624	401	11	dimensional	dimensional	ADJ
ejpam-6624	401	12	,	,	PUNCT
ejpam-6624	401	13	and	and	CCONJ
ejpam-6624	401	14	contour	contour	NOUN
ejpam-6624	401	15	plots	plot	NOUN
ejpam-6624	401	16	of	of	ADP
ejpam-6624	401	17	the	the	DET
ejpam-6624	401	18	obtained	obtain	VERB
ejpam-6624	401	19	solutions	solution	NOUN
ejpam-6624	401	20	.	.	PUNCT
ejpam-6624	402	1	figure	figure	NOUN
ejpam-6624	402	2	1	1	NUM
ejpam-6624	402	3	pertains	pertain	NOUN
ejpam-6624	402	4	to	to	ADP
ejpam-6624	402	5	equation	equation	NOUN
ejpam-6624	402	6	(	(	PUNCT
ejpam-6624	402	7	88	88	NUM
ejpam-6624	402	8	)	)	PUNCT
ejpam-6624	402	9	,	,	PUNCT
ejpam-6624	402	10	wherein	wherein	SCONJ
ejpam-6624	402	11	the	the	DET
ejpam-6624	402	12	selection	selection	NOUN
ejpam-6624	402	13	(	(	PUNCT
ejpam-6624	402	14	a	a	PRON
ejpam-6624	402	15	,	,	PUNCT
ejpam-6624	402	16	b	b	NOUN
ejpam-6624	402	17	,	,	PUNCT
ejpam-6624	402	18	s	s	X
ejpam-6624	402	19	,	,	PUNCT
ejpam-6624	402	20	r	r	NOUN
ejpam-6624	402	21	,	,	PUNCT
ejpam-6624	402	22	k	k	PROPN
ejpam-6624	402	23	,	,	PUNCT
ejpam-6624	402	24	ξ	ξ	PROPN
ejpam-6624	402	25	,	,	PUNCT
ejpam-6624	402	26	α	α	NOUN
ejpam-6624	402	27	)	)	PUNCT
ejpam-6624	402	28	=	=	SYM
ejpam-6624	402	29	(	(	PUNCT
ejpam-6624	402	30	1	1	NUM
ejpam-6624	402	31	,	,	PUNCT
ejpam-6624	402	32	1	1	NUM
ejpam-6624	402	33	,	,	PUNCT
ejpam-6624	402	34	3	3	NUM
ejpam-6624	402	35	,	,	PUNCT
ejpam-6624	402	36	2	2	NUM
ejpam-6624	402	37	,	,	PUNCT
ejpam-6624	402	38	1	1	NUM
ejpam-6624	402	39	,	,	PUNCT
ejpam-6624	402	40	2	2	NUM
ejpam-6624	402	41	,	,	PUNCT
ejpam-6624	402	42	0.5	0.5	NUM
ejpam-6624	402	43	)	)	PUNCT
ejpam-6624	402	44	yields	yield	VERB
ejpam-6624	402	45	a	a	DET
ejpam-6624	402	46	confined	confine	VERB
ejpam-6624	402	47	kink	kink	NOUN
ejpam-6624	402	48	configuration	configuration	NOUN
ejpam-6624	402	49	that	that	PRON
ejpam-6624	402	50	maintains	maintain	VERB
ejpam-6624	402	51	stability	stability	NOUN
ejpam-6624	402	52	in	in	ADP
ejpam-6624	402	53	both	both	CCONJ
ejpam-6624	402	54	spatial	spatial	ADJ
ejpam-6624	402	55	dimensions	dimension	NOUN
ejpam-6624	402	56	.	.	PUNCT
ejpam-6624	403	1	figure	figure	NOUN
ejpam-6624	403	2	2	2	NUM
ejpam-6624	403	3	,	,	PUNCT
ejpam-6624	403	4	corresponding	correspond	VERB
ejpam-6624	403	5	to	to	ADP
ejpam-6624	403	6	equation	equation	NOUN
ejpam-6624	403	7	(	(	PUNCT
ejpam-6624	403	8	94	94	NUM
ejpam-6624	403	9	)	)	PUNCT
ejpam-6624	403	10	,	,	PUNCT
ejpam-6624	403	11	illustrates	illustrate	VERB
ejpam-6624	403	12	an	an	DET
ejpam-6624	403	13	additional	additional	ADJ
ejpam-6624	403	14	kink	kink	NOUN
ejpam-6624	403	15	effect	effect	NOUN
ejpam-6624	403	16	with	with	ADP
ejpam-6624	403	17	a	a	DET
ejpam-6624	403	18	marginally	marginally	ADV
ejpam-6624	403	19	modified	modify	VERB
ejpam-6624	403	20	steepness	steepness	NOUN
ejpam-6624	403	21	resulting	result	VERB
ejpam-6624	403	22	from	from	ADP
ejpam-6624	403	23	the	the	DET
ejpam-6624	403	24	impact	impact	NOUN
ejpam-6624	403	25	of	of	ADP
ejpam-6624	403	26	the	the	DET
ejpam-6624	403	27	riccati	riccati	PROPN
ejpam-6624	403	28	constants	constant	NOUN
ejpam-6624	403	29	r	r	PROPN
ejpam-6624	403	30	and	and	CCONJ
ejpam-6624	403	31	k.	k.	NOUN
ejpam-6624	403	32	figure	figure	NOUN
ejpam-6624	403	33	3	3	NUM
ejpam-6624	403	34	,	,	PUNCT
ejpam-6624	403	35	aligned	align	VERB
ejpam-6624	403	36	with	with	ADP
ejpam-6624	403	37	equation	equation	NOUN
ejpam-6624	403	38	(	(	PUNCT
ejpam-6624	403	39	100	100	NUM
ejpam-6624	403	40	)	)	PUNCT
ejpam-6624	403	41	,	,	PUNCT
ejpam-6624	403	42	distinctly	distinctly	ADV
ejpam-6624	403	43	illustrates	illustrate	VERB
ejpam-6624	403	44	periodic	periodic	ADJ
ejpam-6624	403	45	oscillations	oscillation	NOUN
ejpam-6624	403	46	resulting	result	VERB
ejpam-6624	403	47	from	from	ADP
ejpam-6624	403	48	the	the	DET
ejpam-6624	403	49	parameters	parameter	NOUN
ejpam-6624	403	50	s	s	PART
ejpam-6624	403	51	=	=	SYM
ejpam-6624	403	52	2	2	NUM
ejpam-6624	403	53	and	and	CCONJ
ejpam-6624	403	54	k	k	NOUN
ejpam-6624	403	55	=	=	SYM
ejpam-6624	403	56	2	2	NUM
ejpam-6624	403	57	,	,	PUNCT
ejpam-6624	403	58	so	so	ADV
ejpam-6624	403	59	validating	validate	VERB
ejpam-6624	403	60	s.	s.	PROPN
ejpam-6624	403	61	phoosree	phoosree	PROPN
ejpam-6624	403	62	et	et	PROPN
ejpam-6624	403	63	al	al	PROPN
ejpam-6624	403	64	.	.	PUNCT
ejpam-6624	403	65	/	/	SYM
ejpam-6624	403	66	eur	eur	PROPN
ejpam-6624	403	67	.	.	PUNCT
ejpam-6624	404	1	j.	j.	PROPN
ejpam-6624	404	2	pure	pure	PROPN
ejpam-6624	404	3	appl	appl	PROPN
ejpam-6624	404	4	.	.	PROPN
ejpam-6624	404	5	math	math	PROPN
ejpam-6624	404	6	,	,	PUNCT
ejpam-6624	404	7	18	18	NUM
ejpam-6624	404	8	(	(	PUNCT
ejpam-6624	404	9	4	4	NUM
ejpam-6624	404	10	)	)	PUNCT
ejpam-6624	404	11	(	(	PUNCT
ejpam-6624	404	12	2025	2025	NUM
ejpam-6624	404	13	)	)	PUNCT
ejpam-6624	404	14	,	,	PUNCT
ejpam-6624	404	15	6624	6624	NUM
ejpam-6624	404	16	20	20	NUM
ejpam-6624	404	17	of	of	ADP
ejpam-6624	404	18	24	24	NUM
ejpam-6624	404	19	figure	figure	NOUN
ejpam-6624	404	20	5	5	NUM
ejpam-6624	404	21	:	:	PUNCT
ejpam-6624	404	22	three	three	NUM
ejpam-6624	404	23	-	-	PUNCT
ejpam-6624	404	24	dimensional	dimensional	ADJ
ejpam-6624	404	25	,	,	PUNCT
ejpam-6624	404	26	two	two	NUM
ejpam-6624	404	27	-	-	PUNCT
ejpam-6624	404	28	dimensional	dimensional	ADJ
ejpam-6624	404	29	,	,	PUNCT
ejpam-6624	404	30	and	and	CCONJ
ejpam-6624	404	31	contour	contour	NOUN
ejpam-6624	404	32	plots	plot	NOUN
ejpam-6624	404	33	of	of	ADP
ejpam-6624	404	34	the	the	DET
ejpam-6624	404	35	rational	rational	ADJ
ejpam-6624	404	36	-	-	PUNCT
ejpam-6624	404	37	type	type	NOUN
ejpam-6624	404	38	kink	kink	NOUN
ejpam-6624	404	39	solution	solution	NOUN
ejpam-6624	404	40	corresponding	correspond	VERB
ejpam-6624	404	41	to	to	ADP
ejpam-6624	404	42	equation	equation	NOUN
ejpam-6624	404	43	(	(	PUNCT
ejpam-6624	404	44	114	114	NUM
ejpam-6624	404	45	)	)	PUNCT
ejpam-6624	404	46	under	under	ADP
ejpam-6624	404	47	the	the	DET
ejpam-6624	404	48	conditions	condition	NOUN
ejpam-6624	404	49	s	s	PART
ejpam-6624	404	50	=	=	SYM
ejpam-6624	404	51	r	r	NOUN
ejpam-6624	404	52	=	=	SYM
ejpam-6624	404	53	0	0	NUM
ejpam-6624	404	54	,	,	PUNCT
ejpam-6624	404	55	k	k	NOUN
ejpam-6624	404	56	=	=	SYM
ejpam-6624	404	57	2	2	NUM
ejpam-6624	404	58	,	,	PUNCT
ejpam-6624	404	59	and	and	CCONJ
ejpam-6624	404	60	ζ	ζ	NOUN
ejpam-6624	404	61	=	=	SYM
ejpam-6624	404	62	1	1	NUM
ejpam-6624	404	63	.	.	PUNCT
ejpam-6624	405	1	the	the	DET
ejpam-6624	405	2	solution	solution	NOUN
ejpam-6624	405	3	exhibits	exhibit	VERB
ejpam-6624	405	4	a	a	DET
ejpam-6624	405	5	decaying	decay	VERB
ejpam-6624	405	6	kink	kink	NOUN
ejpam-6624	405	7	profile	profile	NOUN
ejpam-6624	405	8	,	,	PUNCT
ejpam-6624	405	9	showing	show	VERB
ejpam-6624	405	10	the	the	DET
ejpam-6624	405	11	adaptability	adaptability	NOUN
ejpam-6624	405	12	of	of	ADP
ejpam-6624	405	13	the	the	DET
ejpam-6624	405	14	method	method	NOUN
ejpam-6624	405	15	to	to	PART
ejpam-6624	405	16	rationally	rationally	ADV
ejpam-6624	405	17	structured	structure	VERB
ejpam-6624	405	18	waveforms	waveform	NOUN
ejpam-6624	405	19	.	.	PUNCT
ejpam-6624	406	1	table	table	NOUN
ejpam-6624	406	2	1	1	NUM
ejpam-6624	406	3	:	:	PUNCT
ejpam-6624	406	4	configuration	configuration	NOUN
ejpam-6624	406	5	of	of	ADP
ejpam-6624	406	6	parameters	parameter	NOUN
ejpam-6624	406	7	for	for	ADP
ejpam-6624	406	8	eqs	eqs	PROPN
ejpam-6624	406	9	.	.	PUNCT
ejpam-6624	407	1	(	(	PUNCT
ejpam-6624	407	2	88)-(114	88)-(114	X
ejpam-6624	407	3	)	)	PUNCT
ejpam-6624	407	4	equations	equation	NOUN
ejpam-6624	407	5	parameters	parameter	NOUN
ejpam-6624	407	6	fig	fig	PROPN
ejpam-6624	407	7	.	.	PUNCT
ejpam-6624	408	1	wave	wave	NOUN
ejpam-6624	408	2	behaviors	behavior	NOUN
ejpam-6624	408	3	88	88	NUM
ejpam-6624	408	4	ρ0	ρ0	NOUN
ejpam-6624	408	5	=	=	SYM
ejpam-6624	408	6	1	1	NUM
ejpam-6624	408	7	,	,	PUNCT
ejpam-6624	408	8	a	a	PRON
ejpam-6624	408	9	=	=	SYM
ejpam-6624	408	10	1	1	NUM
ejpam-6624	408	11	,	,	PUNCT
ejpam-6624	408	12	b	b	NOUN
ejpam-6624	408	13	=	=	SYM
ejpam-6624	408	14	1	1	NUM
ejpam-6624	408	15	,	,	PUNCT
ejpam-6624	408	16	s	s	PART
ejpam-6624	408	17	=	=	SYM
ejpam-6624	408	18	3	3	NUM
ejpam-6624	408	19	,	,	PUNCT
ejpam-6624	408	20	r	r	NOUN
ejpam-6624	408	21	=	=	SYM
ejpam-6624	408	22	2	2	NUM
ejpam-6624	408	23	,	,	PUNCT
ejpam-6624	408	24	k	k	NOUN
ejpam-6624	408	25	=	=	SYM
ejpam-6624	408	26	1	1	NUM
ejpam-6624	408	27	,	,	PUNCT
ejpam-6624	408	28	ξ	ξ	X
ejpam-6624	408	29	=	=	SYM
ejpam-6624	408	30	2	2	NUM
ejpam-6624	408	31	,	,	PUNCT
ejpam-6624	408	32	1	1	NUM
ejpam-6624	408	33	kink	kink	NOUN
ejpam-6624	408	34	t	t	NOUN
ejpam-6624	408	35	=	=	SYM
ejpam-6624	408	36	10	10	NUM
ejpam-6624	408	37	,	,	PUNCT
ejpam-6624	408	38	α	α	NOUN
ejpam-6624	408	39	=	=	SYM
ejpam-6624	408	40	0.5	0.5	NUM
ejpam-6624	408	41	,	,	PUNCT
ejpam-6624	408	42	1	1	NUM
ejpam-6624	408	43	≤	≤	NUM
ejpam-6624	408	44	x	x	SYM
ejpam-6624	408	45	≤	≤	NUM
ejpam-6624	408	46	20	20	NUM
ejpam-6624	408	47	,	,	PUNCT
ejpam-6624	408	48	1	1	NUM
ejpam-6624	408	49	≤	≤	NUM
ejpam-6624	408	50	y	y	SYM
ejpam-6624	408	51	≤	≤	NUM
ejpam-6624	408	52	20	20	NUM
ejpam-6624	408	53	89	89	NUM
ejpam-6624	408	54	,	,	PUNCT
ejpam-6624	408	55	91	91	NUM
ejpam-6624	408	56	-	-	SYM
ejpam-6624	408	57	92	92	NUM
ejpam-6624	408	58	,	,	PUNCT
ejpam-6624	408	59	95	95	NUM
ejpam-6624	408	60	-	-	SYM
ejpam-6624	408	61	96	96	NUM
ejpam-6624	408	62	,	,	PUNCT
ejpam-6624	408	63	ρ0	ρ0	PROPN
ejpam-6624	408	64	=	=	SYM
ejpam-6624	408	65	1	1	NUM
ejpam-6624	408	66	,	,	PUNCT
ejpam-6624	408	67	a	a	PRON
ejpam-6624	408	68	=	=	SYM
ejpam-6624	408	69	1	1	NUM
ejpam-6624	408	70	,	,	PUNCT
ejpam-6624	408	71	b	b	NOUN
ejpam-6624	408	72	=	=	SYM
ejpam-6624	408	73	1	1	NUM
ejpam-6624	408	74	,	,	PUNCT
ejpam-6624	408	75	s	s	PART
ejpam-6624	408	76	=	=	SYM
ejpam-6624	408	77	3	3	NUM
ejpam-6624	408	78	,	,	PUNCT
ejpam-6624	408	79	r	r	NOUN
ejpam-6624	408	80	=	=	SYM
ejpam-6624	408	81	2	2	NUM
ejpam-6624	408	82	,	,	PUNCT
ejpam-6624	408	83	k	k	NOUN
ejpam-6624	408	84	=	=	SYM
ejpam-6624	408	85	1	1	NUM
ejpam-6624	408	86	,	,	PUNCT
ejpam-6624	408	87	ξ	ξ	X
ejpam-6624	408	88	=	=	SYM
ejpam-6624	408	89	2	2	NUM
ejpam-6624	408	90	,	,	PUNCT
ejpam-6624	408	91	kink	kink	VERB
ejpam-6624	408	92	98	98	NUM
ejpam-6624	408	93	-	-	SYM
ejpam-6624	408	94	99	99	NUM
ejpam-6624	408	95	t	t	NOUN
ejpam-6624	408	96	=	=	SYM
ejpam-6624	408	97	10	10	NUM
ejpam-6624	408	98	,	,	PUNCT
ejpam-6624	408	99	α	α	NOUN
ejpam-6624	408	100	=	=	SYM
ejpam-6624	408	101	0.5	0.5	NUM
ejpam-6624	408	102	,	,	PUNCT
ejpam-6624	408	103	1	1	NUM
ejpam-6624	408	104	≤	≤	NUM
ejpam-6624	408	105	x	x	SYM
ejpam-6624	408	106	≤	≤	NUM
ejpam-6624	408	107	20	20	NUM
ejpam-6624	408	108	,	,	PUNCT
ejpam-6624	408	109	1	1	NUM
ejpam-6624	408	110	≤	≤	NUM
ejpam-6624	408	111	y	y	SYM
ejpam-6624	408	112	≤	≤	NUM
ejpam-6624	408	113	20	20	NUM
ejpam-6624	408	114	93	93	NUM
ejpam-6624	408	115	ρ0	ρ0	NOUN
ejpam-6624	408	116	=	=	SYM
ejpam-6624	408	117	1	1	NUM
ejpam-6624	408	118	,	,	PUNCT
ejpam-6624	408	119	a	a	PRON
ejpam-6624	408	120	=	=	SYM
ejpam-6624	408	121	1	1	NUM
ejpam-6624	408	122	,	,	PUNCT
ejpam-6624	408	123	b	b	NOUN
ejpam-6624	408	124	=	=	SYM
ejpam-6624	408	125	1	1	NUM
ejpam-6624	408	126	,	,	PUNCT
ejpam-6624	408	127	s	s	PART
ejpam-6624	408	128	=	=	SYM
ejpam-6624	408	129	3	3	NUM
ejpam-6624	408	130	,	,	PUNCT
ejpam-6624	408	131	r	r	NOUN
ejpam-6624	408	132	=	=	SYM
ejpam-6624	408	133	2	2	NUM
ejpam-6624	408	134	,	,	PUNCT
ejpam-6624	408	135	k	k	NOUN
ejpam-6624	408	136	=	=	SYM
ejpam-6624	408	137	1	1	NUM
ejpam-6624	408	138	,	,	PUNCT
ejpam-6624	408	139	ξ	ξ	X
ejpam-6624	408	140	=	=	SYM
ejpam-6624	408	141	2	2	NUM
ejpam-6624	408	142	,	,	PUNCT
ejpam-6624	408	143	t	t	NOUN
ejpam-6624	408	144	=	=	SYM
ejpam-6624	408	145	10	10	NUM
ejpam-6624	408	146	,	,	PUNCT
ejpam-6624	408	147	kink	kink	NOUN
ejpam-6624	408	148	α	α	NOUN
ejpam-6624	408	149	=	=	SYM
ejpam-6624	408	150	0.5	0.5	NUM
ejpam-6624	408	151	,	,	PUNCT
ejpam-6624	408	152	µ	µ	X
ejpam-6624	408	153	=	=	SYM
ejpam-6624	408	154	1	1	NUM
ejpam-6624	408	155	,	,	PUNCT
ejpam-6624	408	156	σ	σ	NOUN
ejpam-6624	408	157	=	=	SYM
ejpam-6624	408	158	2	2	NUM
ejpam-6624	408	159	,	,	PUNCT
ejpam-6624	408	160	1	1	NUM
ejpam-6624	408	161	≤	≤	NUM
ejpam-6624	408	162	x	x	SYM
ejpam-6624	408	163	≤	≤	NUM
ejpam-6624	408	164	20	20	NUM
ejpam-6624	408	165	,	,	PUNCT
ejpam-6624	408	166	1	1	NUM
ejpam-6624	408	167	≤	≤	NUM
ejpam-6624	408	168	y	y	SYM
ejpam-6624	408	169	≤	≤	NUM
ejpam-6624	408	170	20	20	NUM
ejpam-6624	408	171	94	94	NUM
ejpam-6624	408	172	ρ0	ρ0	NOUN
ejpam-6624	408	173	=	=	SYM
ejpam-6624	408	174	1	1	NUM
ejpam-6624	408	175	,	,	PUNCT
ejpam-6624	408	176	a	a	PRON
ejpam-6624	408	177	=	=	SYM
ejpam-6624	408	178	1	1	NUM
ejpam-6624	408	179	,	,	PUNCT
ejpam-6624	408	180	b	b	NOUN
ejpam-6624	408	181	=	=	SYM
ejpam-6624	408	182	1	1	NUM
ejpam-6624	408	183	,	,	PUNCT
ejpam-6624	408	184	s	s	PART
ejpam-6624	408	185	=	=	SYM
ejpam-6624	408	186	3	3	NUM
ejpam-6624	408	187	,	,	PUNCT
ejpam-6624	408	188	r	r	NOUN
ejpam-6624	408	189	=	=	SYM
ejpam-6624	408	190	2	2	NUM
ejpam-6624	408	191	,	,	PUNCT
ejpam-6624	408	192	k	k	NOUN
ejpam-6624	408	193	=	=	SYM
ejpam-6624	408	194	1	1	NUM
ejpam-6624	408	195	,	,	PUNCT
ejpam-6624	408	196	ξ	ξ	X
ejpam-6624	408	197	=	=	SYM
ejpam-6624	408	198	2	2	NUM
ejpam-6624	408	199	,	,	PUNCT
ejpam-6624	408	200	t	t	NOUN
ejpam-6624	408	201	=	=	SYM
ejpam-6624	408	202	10	10	NUM
ejpam-6624	408	203	,	,	PUNCT
ejpam-6624	408	204	2	2	NUM
ejpam-6624	408	205	kink	kink	NOUN
ejpam-6624	408	206	α	α	NOUN
ejpam-6624	408	207	=	=	SYM
ejpam-6624	408	208	0.5	0.5	NUM
ejpam-6624	408	209	,	,	PUNCT
ejpam-6624	408	210	µ	µ	X
ejpam-6624	408	211	=	=	SYM
ejpam-6624	408	212	1	1	NUM
ejpam-6624	408	213	,	,	PUNCT
ejpam-6624	408	214	σ	σ	NOUN
ejpam-6624	408	215	=	=	SYM
ejpam-6624	408	216	2	2	NUM
ejpam-6624	408	217	,	,	PUNCT
ejpam-6624	408	218	1	1	NUM
ejpam-6624	408	219	≤	≤	NUM
ejpam-6624	408	220	x	x	SYM
ejpam-6624	408	221	≤	≤	NUM
ejpam-6624	408	222	20	20	NUM
ejpam-6624	408	223	,	,	PUNCT
ejpam-6624	408	224	1	1	NUM
ejpam-6624	408	225	≤	≤	NUM
ejpam-6624	408	226	y	y	SYM
ejpam-6624	408	227	≤	≤	NUM
ejpam-6624	408	228	20	20	NUM
ejpam-6624	408	229	100	100	NUM
ejpam-6624	408	230	ρ0	ρ0	NOUN
ejpam-6624	408	231	=	=	SYM
ejpam-6624	408	232	1	1	NUM
ejpam-6624	408	233	,	,	PUNCT
ejpam-6624	408	234	a	a	PRON
ejpam-6624	408	235	=	=	SYM
ejpam-6624	408	236	1	1	NUM
ejpam-6624	408	237	,	,	PUNCT
ejpam-6624	408	238	b	b	NOUN
ejpam-6624	408	239	=	=	SYM
ejpam-6624	408	240	1	1	NUM
ejpam-6624	408	241	,	,	PUNCT
ejpam-6624	408	242	s	s	PART
ejpam-6624	408	243	=	=	SYM
ejpam-6624	408	244	2	2	NUM
ejpam-6624	408	245	,	,	PUNCT
ejpam-6624	408	246	r	r	NOUN
ejpam-6624	408	247	=	=	SYM
ejpam-6624	408	248	2	2	NUM
ejpam-6624	408	249	,	,	PUNCT
ejpam-6624	408	250	k	k	NOUN
ejpam-6624	408	251	=	=	SYM
ejpam-6624	408	252	2	2	NUM
ejpam-6624	408	253	,	,	PUNCT
ejpam-6624	408	254	ξ	ξ	X
ejpam-6624	408	255	=	=	SYM
ejpam-6624	408	256	2	2	NUM
ejpam-6624	408	257	,	,	PUNCT
ejpam-6624	408	258	3	3	NUM
ejpam-6624	408	259	periodic	periodic	NOUN
ejpam-6624	408	260	t	t	NOUN
ejpam-6624	408	261	=	=	SYM
ejpam-6624	408	262	10	10	NUM
ejpam-6624	408	263	,	,	PUNCT
ejpam-6624	408	264	α	α	NOUN
ejpam-6624	408	265	=	=	SYM
ejpam-6624	408	266	0.5	0.5	NUM
ejpam-6624	408	267	,	,	PUNCT
ejpam-6624	408	268	1	1	NUM
ejpam-6624	408	269	≤	≤	NUM
ejpam-6624	408	270	x	x	SYM
ejpam-6624	408	271	≤	≤	NUM
ejpam-6624	408	272	30	30	NUM
ejpam-6624	408	273	,	,	PUNCT
ejpam-6624	408	274	1	1	NUM
ejpam-6624	408	275	≤	≤	NUM
ejpam-6624	408	276	y	y	PROPN
ejpam-6624	408	277	≤	≤	NUM
ejpam-6624	408	278	30	30	NUM
ejpam-6624	408	279	101	101	NUM
ejpam-6624	408	280	-	-	SYM
ejpam-6624	408	281	104	104	NUM
ejpam-6624	408	282	,	,	PUNCT
ejpam-6624	408	283	107	107	NUM
ejpam-6624	408	284	-	-	SYM
ejpam-6624	408	285	111	111	NUM
ejpam-6624	408	286	ρ0	ρ0	NOUN
ejpam-6624	408	287	=	=	SYM
ejpam-6624	408	288	1	1	NUM
ejpam-6624	408	289	,	,	PUNCT
ejpam-6624	408	290	a	a	DET
ejpam-6624	408	291	=	=	SYM
ejpam-6624	408	292	1	1	NUM
ejpam-6624	408	293	,	,	PUNCT
ejpam-6624	408	294	b	b	NOUN
ejpam-6624	408	295	=	=	SYM
ejpam-6624	408	296	1	1	NUM
ejpam-6624	408	297	,	,	PUNCT
ejpam-6624	408	298	s	s	PART
ejpam-6624	408	299	=	=	SYM
ejpam-6624	408	300	2	2	NUM
ejpam-6624	408	301	,	,	PUNCT
ejpam-6624	408	302	r	r	NOUN
ejpam-6624	408	303	=	=	SYM
ejpam-6624	408	304	2	2	NUM
ejpam-6624	408	305	,	,	PUNCT
ejpam-6624	408	306	k	k	NOUN
ejpam-6624	408	307	=	=	SYM
ejpam-6624	408	308	2	2	NUM
ejpam-6624	408	309	,	,	PUNCT
ejpam-6624	408	310	ξ	ξ	X
ejpam-6624	408	311	=	=	SYM
ejpam-6624	408	312	2	2	NUM
ejpam-6624	408	313	,	,	PUNCT
ejpam-6624	408	314	periodic	periodic	ADJ
ejpam-6624	408	315	t	t	NOUN
ejpam-6624	408	316	=	=	SYM
ejpam-6624	408	317	10	10	NUM
ejpam-6624	408	318	,	,	PUNCT
ejpam-6624	408	319	α	α	NOUN
ejpam-6624	408	320	=	=	SYM
ejpam-6624	408	321	0.5	0.5	NUM
ejpam-6624	408	322	,	,	PUNCT
ejpam-6624	408	323	1	1	NUM
ejpam-6624	408	324	≤	≤	NUM
ejpam-6624	408	325	x	x	SYM
ejpam-6624	408	326	≤	≤	NUM
ejpam-6624	408	327	30	30	NUM
ejpam-6624	408	328	,	,	PUNCT
ejpam-6624	408	329	1	1	NUM
ejpam-6624	408	330	≤	≤	NUM
ejpam-6624	408	331	y	y	PROPN
ejpam-6624	408	332	≤	≤	NUM
ejpam-6624	408	333	30	30	NUM
ejpam-6624	408	334	105	105	NUM
ejpam-6624	408	335	ρ0	ρ0	NOUN
ejpam-6624	408	336	=	=	SYM
ejpam-6624	408	337	1	1	NUM
ejpam-6624	408	338	,	,	PUNCT
ejpam-6624	408	339	a	a	PRON
ejpam-6624	408	340	=	=	SYM
ejpam-6624	408	341	1	1	NUM
ejpam-6624	408	342	,	,	PUNCT
ejpam-6624	408	343	b	b	NOUN
ejpam-6624	408	344	=	=	SYM
ejpam-6624	408	345	1	1	NUM
ejpam-6624	408	346	,	,	PUNCT
ejpam-6624	408	347	s	s	PART
ejpam-6624	408	348	=	=	SYM
ejpam-6624	408	349	2	2	NUM
ejpam-6624	408	350	,	,	PUNCT
ejpam-6624	408	351	r	r	NOUN
ejpam-6624	408	352	=	=	SYM
ejpam-6624	408	353	2	2	NUM
ejpam-6624	408	354	,	,	PUNCT
ejpam-6624	408	355	k	k	NOUN
ejpam-6624	408	356	=	=	SYM
ejpam-6624	408	357	2	2	NUM
ejpam-6624	408	358	,	,	PUNCT
ejpam-6624	408	359	ξ	ξ	X
ejpam-6624	408	360	=	=	SYM
ejpam-6624	408	361	2	2	NUM
ejpam-6624	408	362	,	,	PUNCT
ejpam-6624	408	363	t	t	NOUN
ejpam-6624	408	364	=	=	SYM
ejpam-6624	408	365	10	10	NUM
ejpam-6624	408	366	,	,	PUNCT
ejpam-6624	408	367	periodic	periodic	ADJ
ejpam-6624	408	368	α	α	NOUN
ejpam-6624	408	369	=	=	SYM
ejpam-6624	408	370	0.5	0.5	NUM
ejpam-6624	408	371	,	,	PUNCT
ejpam-6624	408	372	µ	µ	X
ejpam-6624	408	373	=	=	SYM
ejpam-6624	408	374	2	2	NUM
ejpam-6624	408	375	,	,	PUNCT
ejpam-6624	408	376	σ	σ	NOUN
ejpam-6624	408	377	=	=	SYM
ejpam-6624	408	378	1	1	NUM
ejpam-6624	408	379	,	,	PUNCT
ejpam-6624	408	380	1	1	NUM
ejpam-6624	408	381	≤	≤	NUM
ejpam-6624	408	382	x	x	SYM
ejpam-6624	408	383	≤	≤	NUM
ejpam-6624	408	384	30	30	NUM
ejpam-6624	408	385	,	,	PUNCT
ejpam-6624	408	386	1	1	NUM
ejpam-6624	408	387	≤	≤	NUM
ejpam-6624	408	388	y	y	PROPN
ejpam-6624	408	389	≤	≤	NUM
ejpam-6624	408	390	30	30	NUM
ejpam-6624	408	391	106	106	NUM
ejpam-6624	408	392	ρ0	ρ0	NOUN
ejpam-6624	408	393	=	=	SYM
ejpam-6624	408	394	1	1	NUM
ejpam-6624	408	395	,	,	PUNCT
ejpam-6624	408	396	a	a	PRON
ejpam-6624	408	397	=	=	SYM
ejpam-6624	408	398	1	1	NUM
ejpam-6624	408	399	,	,	PUNCT
ejpam-6624	408	400	b	b	NOUN
ejpam-6624	408	401	=	=	SYM
ejpam-6624	408	402	1	1	NUM
ejpam-6624	408	403	,	,	PUNCT
ejpam-6624	408	404	s	s	PART
ejpam-6624	408	405	=	=	SYM
ejpam-6624	408	406	2	2	NUM
ejpam-6624	408	407	,	,	PUNCT
ejpam-6624	408	408	r	r	NOUN
ejpam-6624	408	409	=	=	SYM
ejpam-6624	408	410	2	2	NUM
ejpam-6624	408	411	,	,	PUNCT
ejpam-6624	408	412	k	k	NOUN
ejpam-6624	408	413	=	=	SYM
ejpam-6624	408	414	2	2	NUM
ejpam-6624	408	415	,	,	PUNCT
ejpam-6624	408	416	ξ	ξ	X
ejpam-6624	408	417	=	=	SYM
ejpam-6624	408	418	2	2	NUM
ejpam-6624	408	419	,	,	PUNCT
ejpam-6624	408	420	t	t	NOUN
ejpam-6624	408	421	=	=	SYM
ejpam-6624	408	422	10	10	NUM
ejpam-6624	408	423	,	,	PUNCT
ejpam-6624	408	424	4	4	NUM
ejpam-6624	408	425	periodic	periodic	ADJ
ejpam-6624	408	426	α	α	NOUN
ejpam-6624	408	427	=	=	SYM
ejpam-6624	408	428	0.5	0.5	NUM
ejpam-6624	408	429	,	,	PUNCT
ejpam-6624	408	430	µ	µ	X
ejpam-6624	408	431	=	=	SYM
ejpam-6624	408	432	2	2	NUM
ejpam-6624	408	433	,	,	PUNCT
ejpam-6624	408	434	σ	σ	NOUN
ejpam-6624	408	435	=	=	SYM
ejpam-6624	408	436	1	1	NUM
ejpam-6624	408	437	,	,	PUNCT
ejpam-6624	408	438	1	1	NUM
ejpam-6624	408	439	≤	≤	NUM
ejpam-6624	408	440	x	x	SYM
ejpam-6624	408	441	≤	≤	NUM
ejpam-6624	408	442	30	30	NUM
ejpam-6624	408	443	,	,	PUNCT
ejpam-6624	408	444	1	1	NUM
ejpam-6624	408	445	≤	≤	NUM
ejpam-6624	408	446	y	y	PROPN
ejpam-6624	408	447	≤	≤	NUM
ejpam-6624	408	448	30	30	NUM
ejpam-6624	408	449	112	112	NUM
ejpam-6624	408	450	-	-	SYM
ejpam-6624	408	451	113	113	NUM
ejpam-6624	408	452	ρ0	ρ0	NOUN
ejpam-6624	408	453	=	=	SYM
ejpam-6624	408	454	1	1	NUM
ejpam-6624	408	455	,	,	PUNCT
ejpam-6624	408	456	a	a	PRON
ejpam-6624	408	457	=	=	SYM
ejpam-6624	408	458	1	1	NUM
ejpam-6624	408	459	,	,	PUNCT
ejpam-6624	408	460	b	b	NOUN
ejpam-6624	408	461	=	=	SYM
ejpam-6624	408	462	1	1	NUM
ejpam-6624	408	463	,	,	PUNCT
ejpam-6624	408	464	s	s	PART
ejpam-6624	408	465	=	=	SYM
ejpam-6624	408	466	2	2	NUM
ejpam-6624	408	467	,	,	PUNCT
ejpam-6624	408	468	r	r	NOUN
ejpam-6624	408	469	=	=	SYM
ejpam-6624	408	470	0	0	NUM
ejpam-6624	408	471	,	,	PUNCT
ejpam-6624	408	472	k	k	NOUN
ejpam-6624	408	473	=	=	SYM
ejpam-6624	408	474	2	2	NUM
ejpam-6624	408	475	,	,	PUNCT
ejpam-6624	408	476	ξ	ξ	X
ejpam-6624	408	477	=	=	SYM
ejpam-6624	408	478	2	2	NUM
ejpam-6624	408	479	,	,	PUNCT
ejpam-6624	408	480	t	t	NOUN
ejpam-6624	408	481	=	=	SYM
ejpam-6624	408	482	10	10	NUM
ejpam-6624	408	483	,	,	PUNCT
ejpam-6624	408	484	kink	kink	NOUN
ejpam-6624	408	485	α	α	X
ejpam-6624	408	486	=	=	SYM
ejpam-6624	408	487	0.5	0.5	NUM
ejpam-6624	408	488	,	,	PUNCT
ejpam-6624	408	489	ψ	ψ	X
ejpam-6624	408	490	=	=	SYM
ejpam-6624	408	491	1	1	NUM
ejpam-6624	408	492	,	,	PUNCT
ejpam-6624	408	493	1	1	NUM
ejpam-6624	408	494	≤	≤	NUM
ejpam-6624	408	495	x	x	SYM
ejpam-6624	408	496	≤	≤	NUM
ejpam-6624	408	497	30	30	NUM
ejpam-6624	408	498	,	,	PUNCT
ejpam-6624	408	499	1	1	NUM
ejpam-6624	408	500	≤	≤	NUM
ejpam-6624	408	501	y	y	PROPN
ejpam-6624	408	502	≤	≤	NUM
ejpam-6624	408	503	30	30	NUM
ejpam-6624	408	504	114	114	NUM
ejpam-6624	408	505	ρ0	ρ0	NOUN
ejpam-6624	408	506	=	=	SYM
ejpam-6624	408	507	1	1	NUM
ejpam-6624	408	508	,	,	PUNCT
ejpam-6624	408	509	a	a	PRON
ejpam-6624	408	510	=	=	SYM
ejpam-6624	408	511	1	1	NUM
ejpam-6624	408	512	,	,	PUNCT
ejpam-6624	408	513	b	b	NOUN
ejpam-6624	408	514	=	=	SYM
ejpam-6624	408	515	1	1	NUM
ejpam-6624	408	516	,	,	PUNCT
ejpam-6624	408	517	s	s	PART
ejpam-6624	408	518	=	=	NOUN
ejpam-6624	408	519	0	0	NUM
ejpam-6624	408	520	,	,	PUNCT
ejpam-6624	408	521	r	r	NOUN
ejpam-6624	408	522	=	=	SYM
ejpam-6624	408	523	0	0	NUM
ejpam-6624	408	524	,	,	PUNCT
ejpam-6624	408	525	k	k	NOUN
ejpam-6624	408	526	=	=	SYM
ejpam-6624	408	527	2	2	NUM
ejpam-6624	408	528	,	,	PUNCT
ejpam-6624	408	529	ξ	ξ	X
ejpam-6624	408	530	=	=	SYM
ejpam-6624	408	531	2	2	NUM
ejpam-6624	408	532	,	,	PUNCT
ejpam-6624	408	533	t	t	NOUN
ejpam-6624	408	534	=	=	SYM
ejpam-6624	408	535	10	10	NUM
ejpam-6624	408	536	,	,	PUNCT
ejpam-6624	408	537	5	5	NUM
ejpam-6624	408	538	kink	kink	NOUN
ejpam-6624	408	539	α	α	NOUN
ejpam-6624	408	540	=	=	SYM
ejpam-6624	408	541	0.5	0.5	NUM
ejpam-6624	408	542	,	,	PUNCT
ejpam-6624	408	543	ζ	ζ	NOUN
ejpam-6624	408	544	=	=	SYM
ejpam-6624	408	545	1	1	NUM
ejpam-6624	408	546	,	,	PUNCT
ejpam-6624	408	547	1	1	NUM
ejpam-6624	408	548	≤	≤	NUM
ejpam-6624	408	549	x	x	SYM
ejpam-6624	408	550	≤	≤	NUM
ejpam-6624	408	551	30	30	NUM
ejpam-6624	408	552	,	,	PUNCT
ejpam-6624	408	553	1	1	NUM
ejpam-6624	408	554	≤	≤	NUM
ejpam-6624	408	555	y	y	PROPN
ejpam-6624	408	556	≤	≤	NUM
ejpam-6624	408	557	30	30	NUM
ejpam-6624	408	558	the	the	DET
ejpam-6624	408	559	trigonometric	trigonometric	ADJ
ejpam-6624	408	560	characteristics	characteristic	NOUN
ejpam-6624	408	561	of	of	ADP
ejpam-6624	408	562	this	this	DET
ejpam-6624	408	563	solution	solution	NOUN
ejpam-6624	408	564	family	family	NOUN
ejpam-6624	408	565	.	.	PUNCT
ejpam-6624	409	1	likewise	likewise	ADV
ejpam-6624	409	2	,	,	PUNCT
ejpam-6624	409	3	figure	figure	VERB
ejpam-6624	409	4	4	4	NUM
ejpam-6624	409	5	illustrates	illustrate	VERB
ejpam-6624	409	6	the	the	DET
ejpam-6624	409	7	periodic	periodic	ADJ
ejpam-6624	409	8	pattern	pattern	NOUN
ejpam-6624	409	9	of	of	ADP
ejpam-6624	409	10	equation	equation	NOUN
ejpam-6624	409	11	(	(	PUNCT
ejpam-6624	409	12	106	106	NUM
ejpam-6624	409	13	)	)	PUNCT
ejpam-6624	409	14	,	,	PUNCT
ejpam-6624	409	15	wherein	wherein	SCONJ
ejpam-6624	409	16	the	the	DET
ejpam-6624	409	17	oscillatory	oscillatory	ADJ
ejpam-6624	409	18	profile	profile	NOUN
ejpam-6624	409	19	is	be	AUX
ejpam-6624	409	20	enhanced	enhance	VERB
ejpam-6624	409	21	through	through	ADP
ejpam-6624	409	22	a	a	DET
ejpam-6624	409	23	distinct	distinct	ADJ
ejpam-6624	409	24	parameter	parameter	NOUN
ejpam-6624	409	25	modification	modification	NOUN
ejpam-6624	409	26	.	.	PUNCT
ejpam-6624	410	1	figure	figure	NOUN
ejpam-6624	410	2	5	5	NUM
ejpam-6624	410	3	depicts	depict	VERB
ejpam-6624	410	4	the	the	DET
ejpam-6624	410	5	rational	rational	ADJ
ejpam-6624	410	6	-	-	PUNCT
ejpam-6624	410	7	type	type	NOUN
ejpam-6624	410	8	kink	kink	NOUN
ejpam-6624	410	9	solution	solution	NOUN
ejpam-6624	410	10	derived	derive	VERB
ejpam-6624	410	11	from	from	ADP
ejpam-6624	410	12	equation	equation	NOUN
ejpam-6624	410	13	(	(	PUNCT
ejpam-6624	410	14	114	114	NUM
ejpam-6624	410	15	)	)	PUNCT
ejpam-6624	410	16	,	,	PUNCT
ejpam-6624	410	17	achieved	achieve	VERB
ejpam-6624	410	18	under	under	ADP
ejpam-6624	410	19	the	the	DET
ejpam-6624	410	20	parameters	parameter	NOUN
ejpam-6624	410	21	s	s	PART
ejpam-6624	410	22	=	=	NOUN
ejpam-6624	410	23	r	r	NOUN
ejpam-6624	410	24	=	=	SYM
ejpam-6624	410	25	0	0	NUM
ejpam-6624	410	26	,	,	PUNCT
ejpam-6624	410	27	k	k	NOUN
ejpam-6624	410	28	=	=	SYM
ejpam-6624	410	29	2	2	NUM
ejpam-6624	410	30	,	,	PUNCT
ejpam-6624	410	31	and	and	CCONJ
ejpam-6624	410	32	ζ	ζ	NOUN
ejpam-6624	410	33	=	=	SYM
ejpam-6624	410	34	1	1	NUM
ejpam-6624	410	35	,	,	PUNCT
ejpam-6624	410	36	demonstrating	demonstrate	VERB
ejpam-6624	410	37	the	the	DET
ejpam-6624	410	38	versatility	versatility	NOUN
ejpam-6624	410	39	of	of	ADP
ejpam-6624	410	40	the	the	DET
ejpam-6624	410	41	riccati	riccati	PROPN
ejpam-6624	410	42	mapping	mapping	NOUN
ejpam-6624	410	43	approach	approach	NOUN
ejpam-6624	410	44	for	for	ADP
ejpam-6624	410	45	rationally	rationally	ADV
ejpam-6624	410	46	decaying	decay	VERB
ejpam-6624	410	47	waves	wave	NOUN
ejpam-6624	410	48	.	.	PUNCT
ejpam-6624	411	1	in	in	ADP
ejpam-6624	411	2	comparison	comparison	NOUN
ejpam-6624	411	3	to	to	ADP
ejpam-6624	411	4	alternative	alternative	ADJ
ejpam-6624	411	5	analytical	analytical	ADJ
ejpam-6624	411	6	methods	method	NOUN
ejpam-6624	411	7	,	,	PUNCT
ejpam-6624	411	8	the	the	DET
ejpam-6624	411	9	generalized	generalized	ADJ
ejpam-6624	411	10	riccati	riccati	NOUN
ejpam-6624	411	11	equation	equation	NOUN
ejpam-6624	411	12	mapping	mapping	NOUN
ejpam-6624	411	13	method	method	NOUN
ejpam-6624	411	14	offers	offer	VERB
ejpam-6624	411	15	a	a	DET
ejpam-6624	411	16	wider	wide	ADJ
ejpam-6624	411	17	array	array	NOUN
ejpam-6624	411	18	of	of	ADP
ejpam-6624	411	19	exact	exact	ADJ
ejpam-6624	411	20	solutions	solution	NOUN
ejpam-6624	411	21	,	,	PUNCT
ejpam-6624	411	22	encompassing	encompass	VERB
ejpam-6624	411	23	kink	kink	NOUN
ejpam-6624	411	24	,	,	PUNCT
ejpam-6624	411	25	periodic	periodic	NOUN
ejpam-6624	411	26	,	,	PUNCT
ejpam-6624	411	27	and	and	CCONJ
ejpam-6624	411	28	ras	ras	PROPN
ejpam-6624	411	29	.	.	PROPN
ejpam-6624	412	1	phoosree	phoosree	NOUN
ejpam-6624	412	2	et	et	PROPN
ejpam-6624	412	3	al	al	PROPN
ejpam-6624	412	4	.	.	PUNCT
ejpam-6624	412	5	/	/	SYM
ejpam-6624	412	6	eur	eur	PROPN
ejpam-6624	412	7	.	.	PUNCT
ejpam-6624	413	1	j.	j.	PROPN
ejpam-6624	413	2	pure	pure	PROPN
ejpam-6624	413	3	appl	appl	PROPN
ejpam-6624	413	4	.	.	PROPN
ejpam-6624	413	5	math	math	PROPN
ejpam-6624	413	6	,	,	PUNCT
ejpam-6624	413	7	18	18	NUM
ejpam-6624	413	8	(	(	PUNCT
ejpam-6624	413	9	4	4	NUM
ejpam-6624	413	10	)	)	PUNCT
ejpam-6624	413	11	(	(	PUNCT
ejpam-6624	413	12	2025	2025	NUM
ejpam-6624	413	13	)	)	PUNCT
ejpam-6624	413	14	,	,	PUNCT
ejpam-6624	413	15	6624	6624	NUM
ejpam-6624	413	16	21	21	NUM
ejpam-6624	413	17	of	of	ADP
ejpam-6624	413	18	24	24	NUM
ejpam-6624	413	19	tional	tional	ADJ
ejpam-6624	413	20	families	family	NOUN
ejpam-6624	413	21	.	.	PUNCT
ejpam-6624	414	1	the	the	DET
ejpam-6624	414	2	acquired	acquire	VERB
ejpam-6624	414	3	solutions	solution	NOUN
ejpam-6624	414	4	exhibit	exhibit	VERB
ejpam-6624	414	5	greater	great	ADJ
ejpam-6624	414	6	variability	variability	NOUN
ejpam-6624	414	7	than	than	ADP
ejpam-6624	414	8	those	those	PRON
ejpam-6624	414	9	documented	document	VERB
ejpam-6624	414	10	in	in	ADP
ejpam-6624	414	11	earlier	early	ADJ
ejpam-6624	414	12	studies	study	NOUN
ejpam-6624	414	13	,	,	PUNCT
ejpam-6624	414	14	broadening	broaden	VERB
ejpam-6624	414	15	the	the	DET
ejpam-6624	414	16	application	application	NOUN
ejpam-6624	414	17	of	of	ADP
ejpam-6624	414	18	analytical	analytical	ADJ
ejpam-6624	414	19	methods	method	NOUN
ejpam-6624	414	20	to	to	ADP
ejpam-6624	414	21	higher	higher	ADV
ejpam-6624	414	22	-	-	PUNCT
ejpam-6624	414	23	dimensional	dimensional	ADJ
ejpam-6624	414	24	and	and	CCONJ
ejpam-6624	414	25	fractional	fractional	ADJ
ejpam-6624	414	26	-	-	PUNCT
ejpam-6624	414	27	order	order	NOUN
ejpam-6624	414	28	contexts	contexts	NOUN
ejpam-6624	415	1	[	[	X
ejpam-6624	415	2	20	20	NUM
ejpam-6624	415	3	,	,	PUNCT
ejpam-6624	415	4	28	28	NUM
ejpam-6624	415	5	]	]	PUNCT
ejpam-6624	415	6	.	.	PUNCT
ejpam-6624	416	1	the	the	DET
ejpam-6624	416	2	solutions	solution	NOUN
ejpam-6624	416	3	to	to	ADP
ejpam-6624	416	4	the	the	DET
ejpam-6624	416	5	fractional	fractional	ADJ
ejpam-6624	416	6	ckg	ckg	NOUN
ejpam-6624	416	7	equation	equation	NOUN
ejpam-6624	416	8	are	be	AUX
ejpam-6624	416	9	complex	complex	ADV
ejpam-6624	416	10	-	-	PUNCT
ejpam-6624	416	11	valued	value	VERB
ejpam-6624	416	12	and	and	CCONJ
ejpam-6624	416	13	not	not	PART
ejpam-6624	416	14	readily	readily	ADV
ejpam-6624	416	15	visualizable	visualizable	ADJ
ejpam-6624	416	16	;	;	PUNCT
ejpam-6624	416	17	yet	yet	CCONJ
ejpam-6624	416	18	,	,	PUNCT
ejpam-6624	416	19	their	their	PRON
ejpam-6624	416	20	algebraic	algebraic	ADJ
ejpam-6624	416	21	structures	structure	NOUN
ejpam-6624	416	22	yield	yield	VERB
ejpam-6624	416	23	significant	significant	ADJ
ejpam-6624	416	24	insights	insight	NOUN
ejpam-6624	416	25	into	into	ADP
ejpam-6624	416	26	wave	wave	NOUN
ejpam-6624	416	27	propagation	propagation	NOUN
ejpam-6624	416	28	in	in	ADP
ejpam-6624	416	29	josephson	josephson	PROPN
ejpam-6624	416	30	junctions	junction	NOUN
ejpam-6624	416	31	.	.	PUNCT
ejpam-6624	417	1	conversely	conversely	ADV
ejpam-6624	417	2	,	,	PUNCT
ejpam-6624	417	3	the	the	DET
ejpam-6624	417	4	akns	akns	NOUN
ejpam-6624	417	5	equation	equation	NOUN
ejpam-6624	417	6	produces	produce	VERB
ejpam-6624	417	7	real	real	ADV
ejpam-6624	417	8	-	-	PUNCT
ejpam-6624	417	9	valued	value	VERB
ejpam-6624	417	10	kink	kink	NOUN
ejpam-6624	417	11	and	and	CCONJ
ejpam-6624	417	12	periodic	periodic	ADJ
ejpam-6624	417	13	solutions	solution	NOUN
ejpam-6624	417	14	,	,	PUNCT
ejpam-6624	417	15	which	which	PRON
ejpam-6624	417	16	hold	hold	VERB
ejpam-6624	417	17	physical	physical	ADJ
ejpam-6624	417	18	significance	significance	NOUN
ejpam-6624	417	19	in	in	ADP
ejpam-6624	417	20	nonlinear	nonlinear	ADJ
ejpam-6624	417	21	optics	optic	NOUN
ejpam-6624	417	22	.	.	PUNCT
ejpam-6624	418	1	the	the	DET
ejpam-6624	418	2	results	result	NOUN
ejpam-6624	418	3	indicate	indicate	VERB
ejpam-6624	418	4	that	that	SCONJ
ejpam-6624	418	5	the	the	DET
ejpam-6624	418	6	figures	figure	NOUN
ejpam-6624	418	7	serve	serve	VERB
ejpam-6624	418	8	as	as	ADP
ejpam-6624	418	9	both	both	DET
ejpam-6624	418	10	mathematical	mathematical	ADJ
ejpam-6624	418	11	representations	representation	NOUN
ejpam-6624	418	12	and	and	CCONJ
ejpam-6624	418	13	physically	physically	ADV
ejpam-6624	418	14	significant	significant	ADJ
ejpam-6624	418	15	depictions	depiction	NOUN
ejpam-6624	418	16	of	of	ADP
ejpam-6624	418	17	nonlinear	nonlinear	ADJ
ejpam-6624	418	18	wave	wave	NOUN
ejpam-6624	418	19	phenomena	phenomenon	NOUN
ejpam-6624	418	20	.	.	PUNCT
ejpam-6624	419	1	5	5	X
ejpam-6624	419	2	.	.	X
ejpam-6624	419	3	conclusions	conclusion	NOUN
ejpam-6624	419	4	in	in	ADP
ejpam-6624	419	5	this	this	DET
ejpam-6624	419	6	study	study	NOUN
ejpam-6624	419	7	,	,	PUNCT
ejpam-6624	419	8	we	we	PRON
ejpam-6624	419	9	utilized	utilize	VERB
ejpam-6624	419	10	the	the	DET
ejpam-6624	419	11	generalized	generalized	ADJ
ejpam-6624	419	12	riccati	riccati	NOUN
ejpam-6624	419	13	equation	equation	NOUN
ejpam-6624	419	14	mapping	mapping	NOUN
ejpam-6624	419	15	method	method	NOUN
ejpam-6624	419	16	alongside	alongside	ADP
ejpam-6624	419	17	jumarie	jumarie	PROPN
ejpam-6624	419	18	’s	’s	PART
ejpam-6624	419	19	riemann	riemann	PROPN
ejpam-6624	419	20	–	–	PUNCT
ejpam-6624	419	21	liouville	liouville	VERB
ejpam-6624	419	22	fractional	fractional	ADJ
ejpam-6624	419	23	derivative	derivative	NOUN
ejpam-6624	419	24	to	to	PART
ejpam-6624	419	25	derive	derive	VERB
ejpam-6624	419	26	27	27	NUM
ejpam-6624	419	27	unique	unique	ADJ
ejpam-6624	419	28	analytic	analytic	ADJ
ejpam-6624	419	29	solutions	solution	NOUN
ejpam-6624	419	30	for	for	ADP
ejpam-6624	419	31	two	two	NUM
ejpam-6624	419	32	essential	essential	ADJ
ejpam-6624	419	33	nonlinear	nonlinear	ADJ
ejpam-6624	419	34	space	space	NOUN
ejpam-6624	419	35	-	-	PUNCT
ejpam-6624	419	36	time	time	NOUN
ejpam-6624	419	37	fractional	fractional	ADJ
ejpam-6624	419	38	(	(	PUNCT
ejpam-6624	419	39	2	2	NUM
ejpam-6624	419	40	+	+	NOUN
ejpam-6624	419	41	1)-dimensional	1)-dimensional	ADJ
ejpam-6624	419	42	models	model	NOUN
ejpam-6624	419	43	:	:	PUNCT
ejpam-6624	419	44	the	the	DET
ejpam-6624	419	45	ckg	ckg	NOUN
ejpam-6624	419	46	equation	equation	NOUN
ejpam-6624	419	47	and	and	CCONJ
ejpam-6624	419	48	the	the	DET
ejpam-6624	419	49	akns	akns	NOUN
ejpam-6624	419	50	equation	equation	NOUN
ejpam-6624	419	51	.	.	PUNCT
ejpam-6624	420	1	the	the	DET
ejpam-6624	420	2	resulting	result	VERB
ejpam-6624	420	3	solutions	solution	NOUN
ejpam-6624	420	4	span	span	VERB
ejpam-6624	420	5	a	a	DET
ejpam-6624	420	6	wide	wide	ADJ
ejpam-6624	420	7	range	range	NOUN
ejpam-6624	420	8	of	of	ADP
ejpam-6624	420	9	wave	wave	NOUN
ejpam-6624	420	10	behaviors	behavior	NOUN
ejpam-6624	420	11	,	,	PUNCT
ejpam-6624	420	12	including	include	VERB
ejpam-6624	420	13	kink	kink	NOUN
ejpam-6624	420	14	-	-	PUNCT
ejpam-6624	420	15	type	type	NOUN
ejpam-6624	420	16	and	and	CCONJ
ejpam-6624	420	17	periodic	periodic	ADJ
ejpam-6624	420	18	structures	structure	NOUN
ejpam-6624	420	19	,	,	PUNCT
ejpam-6624	420	20	thereby	thereby	ADV
ejpam-6624	420	21	illustrating	illustrate	VERB
ejpam-6624	420	22	the	the	DET
ejpam-6624	420	23	adaptability	adaptability	NOUN
ejpam-6624	420	24	and	and	CCONJ
ejpam-6624	420	25	efficacy	efficacy	NOUN
ejpam-6624	420	26	of	of	ADP
ejpam-6624	420	27	the	the	DET
ejpam-6624	420	28	suggested	suggest	VERB
ejpam-6624	420	29	method	method	NOUN
ejpam-6624	420	30	in	in	ADP
ejpam-6624	420	31	comparison	comparison	NOUN
ejpam-6624	420	32	to	to	ADP
ejpam-6624	420	33	traditional	traditional	ADJ
ejpam-6624	420	34	analytical	analytical	ADJ
ejpam-6624	420	35	techniques	technique	NOUN
ejpam-6624	420	36	.	.	PUNCT
ejpam-6624	421	1	in	in	ADP
ejpam-6624	421	2	addition	addition	NOUN
ejpam-6624	421	3	to	to	ADP
ejpam-6624	421	4	their	their	PRON
ejpam-6624	421	5	mathematical	mathematical	ADJ
ejpam-6624	421	6	originality	originality	NOUN
ejpam-6624	421	7	,	,	PUNCT
ejpam-6624	421	8	the	the	DET
ejpam-6624	421	9	results	result	NOUN
ejpam-6624	421	10	possess	possess	VERB
ejpam-6624	421	11	immediate	immediate	ADJ
ejpam-6624	421	12	physical	physical	ADJ
ejpam-6624	421	13	significance	significance	NOUN
ejpam-6624	421	14	.	.	PUNCT
ejpam-6624	422	1	the	the	DET
ejpam-6624	422	2	ckg	ckg	NOUN
ejpam-6624	422	3	equation	equation	NOUN
ejpam-6624	422	4	is	be	AUX
ejpam-6624	422	5	esteemed	esteem	VERB
ejpam-6624	422	6	for	for	ADP
ejpam-6624	422	7	its	its	PRON
ejpam-6624	422	8	application	application	NOUN
ejpam-6624	422	9	in	in	ADP
ejpam-6624	422	10	modeling	model	VERB
ejpam-6624	422	11	fluxion	fluxion	NOUN
ejpam-6624	422	12	propagation	propagation	NOUN
ejpam-6624	422	13	in	in	ADP
ejpam-6624	422	14	josephson	josephson	PROPN
ejpam-6624	422	15	junctions	junctions	PROPN
ejpam-6624	422	16	,	,	PUNCT
ejpam-6624	422	17	crystal	crystal	NOUN
ejpam-6624	422	18	dislocations	dislocation	NOUN
ejpam-6624	422	19	,	,	PUNCT
ejpam-6624	422	20	and	and	CCONJ
ejpam-6624	422	21	particle	particle	NOUN
ejpam-6624	422	22	dynamics	dynamic	NOUN
ejpam-6624	422	23	,	,	PUNCT
ejpam-6624	422	24	while	while	SCONJ
ejpam-6624	422	25	the	the	DET
ejpam-6624	422	26	akns	akns	NOUN
ejpam-6624	422	27	equation	equation	NOUN
ejpam-6624	422	28	is	be	AUX
ejpam-6624	422	29	significant	significant	ADJ
ejpam-6624	422	30	in	in	ADP
ejpam-6624	422	31	nonlinear	nonlinear	ADJ
ejpam-6624	422	32	optics	optic	NOUN
ejpam-6624	422	33	,	,	PUNCT
ejpam-6624	422	34	particularly	particularly	ADV
ejpam-6624	422	35	in	in	ADP
ejpam-6624	422	36	the	the	DET
ejpam-6624	422	37	study	study	NOUN
ejpam-6624	422	38	of	of	ADP
ejpam-6624	422	39	soliton	soliton	NOUN
ejpam-6624	422	40	propagation	propagation	NOUN
ejpam-6624	422	41	and	and	CCONJ
ejpam-6624	422	42	optical	optical	ADJ
ejpam-6624	422	43	wave	wave	NOUN
ejpam-6624	422	44	interactions	interaction	NOUN
ejpam-6624	422	45	.	.	PUNCT
ejpam-6624	423	1	the	the	DET
ejpam-6624	423	2	solutions	solution	NOUN
ejpam-6624	423	3	derived	derive	VERB
ejpam-6624	423	4	herein	herein	NOUN
ejpam-6624	423	5	offer	offer	VERB
ejpam-6624	423	6	significant	significant	ADJ
ejpam-6624	423	7	insights	insight	NOUN
ejpam-6624	423	8	into	into	ADP
ejpam-6624	423	9	nonlinear	nonlinear	ADJ
ejpam-6624	423	10	wave	wave	NOUN
ejpam-6624	423	11	dynamics	dynamic	NOUN
ejpam-6624	423	12	pertinent	pertinent	ADJ
ejpam-6624	423	13	to	to	ADP
ejpam-6624	423	14	both	both	DET
ejpam-6624	423	15	physics	physics	NOUN
ejpam-6624	423	16	and	and	CCONJ
ejpam-6624	423	17	engineering	engineering	NOUN
ejpam-6624	423	18	domains	domain	NOUN
ejpam-6624	423	19	.	.	PUNCT
ejpam-6624	424	1	nonetheless	nonetheless	ADV
ejpam-6624	424	2	,	,	PUNCT
ejpam-6624	424	3	the	the	DET
ejpam-6624	424	4	current	current	ADJ
ejpam-6624	424	5	study	study	NOUN
ejpam-6624	424	6	possesses	possess	VERB
ejpam-6624	424	7	specific	specific	ADJ
ejpam-6624	424	8	limitations	limitation	NOUN
ejpam-6624	424	9	.	.	PUNCT
ejpam-6624	425	1	the	the	DET
ejpam-6624	425	2	study	study	NOUN
ejpam-6624	425	3	is	be	AUX
ejpam-6624	425	4	confined	confine	VERB
ejpam-6624	425	5	to	to	ADP
ejpam-6624	425	6	precise	precise	ADJ
ejpam-6624	425	7	analytic	analytic	ADJ
ejpam-6624	425	8	solutions	solution	NOUN
ejpam-6624	425	9	,	,	PUNCT
ejpam-6624	425	10	with	with	ADP
ejpam-6624	425	11	no	no	DET
ejpam-6624	425	12	consideration	consideration	NOUN
ejpam-6624	425	13	given	give	VERB
ejpam-6624	425	14	to	to	ADP
ejpam-6624	425	15	stability	stability	NOUN
ejpam-6624	425	16	,	,	PUNCT
ejpam-6624	425	17	perturbation	perturbation	NOUN
ejpam-6624	425	18	effects	effect	NOUN
ejpam-6624	425	19	,	,	PUNCT
ejpam-6624	425	20	or	or	CCONJ
ejpam-6624	425	21	resilience	resilience	NOUN
ejpam-6624	425	22	against	against	ADP
ejpam-6624	425	23	external	external	ADJ
ejpam-6624	425	24	influences	influence	NOUN
ejpam-6624	425	25	.	.	PUNCT
ejpam-6624	426	1	subsequent	subsequent	ADJ
ejpam-6624	426	2	study	study	NOUN
ejpam-6624	426	3	should	should	AUX
ejpam-6624	426	4	concentrate	concentrate	VERB
ejpam-6624	426	5	on	on	ADP
ejpam-6624	426	6	numerical	numerical	ADJ
ejpam-6624	426	7	validation	validation	NOUN
ejpam-6624	426	8	,	,	PUNCT
ejpam-6624	426	9	employing	employ	VERB
ejpam-6624	426	10	techniques	technique	NOUN
ejpam-6624	426	11	such	such	ADJ
ejpam-6624	426	12	as	as	ADP
ejpam-6624	426	13	spectrum	spectrum	NOUN
ejpam-6624	426	14	simulations	simulation	NOUN
ejpam-6624	426	15	or	or	CCONJ
ejpam-6624	426	16	finite	finite	ADJ
ejpam-6624	426	17	-	-	PUNCT
ejpam-6624	426	18	difference	difference	NOUN
ejpam-6624	426	19	methods	method	NOUN
ejpam-6624	426	20	,	,	PUNCT
ejpam-6624	426	21	to	to	PART
ejpam-6624	426	22	evaluate	evaluate	VERB
ejpam-6624	426	23	the	the	DET
ejpam-6624	426	24	precision	precision	NOUN
ejpam-6624	426	25	and	and	CCONJ
ejpam-6624	426	26	physical	physical	ADJ
ejpam-6624	426	27	relevance	relevance	NOUN
ejpam-6624	426	28	of	of	ADP
ejpam-6624	426	29	the	the	DET
ejpam-6624	426	30	results	result	NOUN
ejpam-6624	426	31	.	.	PUNCT
ejpam-6624	427	1	furthermore	furthermore	ADV
ejpam-6624	427	2	,	,	PUNCT
ejpam-6624	427	3	the	the	DET
ejpam-6624	427	4	methodology	methodology	NOUN
ejpam-6624	427	5	can	can	AUX
ejpam-6624	427	6	be	be	AUX
ejpam-6624	427	7	used	use	VERB
ejpam-6624	427	8	to	to	ADP
ejpam-6624	427	9	additional	additional	ADJ
ejpam-6624	427	10	categories	category	NOUN
ejpam-6624	427	11	of	of	ADP
ejpam-6624	427	12	fractional	fractional	ADJ
ejpam-6624	427	13	nonlinear	nonlinear	ADJ
ejpam-6624	427	14	evolution	evolution	NOUN
ejpam-6624	427	15	equations	equation	NOUN
ejpam-6624	427	16	,	,	PUNCT
ejpam-6624	427	17	encompassing	encompass	VERB
ejpam-6624	427	18	higher	high	ADJ
ejpam-6624	427	19	-	-	PUNCT
ejpam-6624	427	20	order	order	NOUN
ejpam-6624	427	21	and	and	CCONJ
ejpam-6624	427	22	coupled	couple	VERB
ejpam-6624	427	23	systems	system	NOUN
ejpam-6624	427	24	,	,	PUNCT
ejpam-6624	427	25	which	which	PRON
ejpam-6624	427	26	may	may	AUX
ejpam-6624	427	27	exhibit	exhibit	VERB
ejpam-6624	427	28	more	more	ADJ
ejpam-6624	427	29	complex	complex	ADJ
ejpam-6624	427	30	dynamics	dynamic	NOUN
ejpam-6624	427	31	.	.	PUNCT
ejpam-6624	428	1	in	in	ADP
ejpam-6624	428	2	conclusion	conclusion	NOUN
ejpam-6624	428	3	,	,	PUNCT
ejpam-6624	428	4	the	the	DET
ejpam-6624	428	5	extended	extended	ADJ
ejpam-6624	428	6	riccati	riccati	NOUN
ejpam-6624	428	7	equation	equation	NOUN
ejpam-6624	428	8	mapping	mapping	NOUN
ejpam-6624	428	9	approach	approach	NOUN
ejpam-6624	428	10	provides	provide	VERB
ejpam-6624	428	11	a	a	DET
ejpam-6624	428	12	systematic	systematic	ADJ
ejpam-6624	428	13	,	,	PUNCT
ejpam-6624	428	14	adaptable	adaptable	ADJ
ejpam-6624	428	15	,	,	PUNCT
ejpam-6624	428	16	and	and	CCONJ
ejpam-6624	428	17	robust	robust	ADJ
ejpam-6624	428	18	framework	framework	NOUN
ejpam-6624	428	19	for	for	ADP
ejpam-6624	428	20	generating	generate	VERB
ejpam-6624	428	21	various	various	ADJ
ejpam-6624	428	22	solution	solution	NOUN
ejpam-6624	428	23	families	family	NOUN
ejpam-6624	428	24	of	of	ADP
ejpam-6624	428	25	fractional	fractional	ADJ
ejpam-6624	428	26	nonlinear	nonlinear	ADJ
ejpam-6624	428	27	equations	equation	NOUN
ejpam-6624	428	28	.	.	PUNCT
ejpam-6624	429	1	this	this	DET
ejpam-6624	429	2	paper	paper	NOUN
ejpam-6624	429	3	integrates	integrate	VERB
ejpam-6624	429	4	analytic	analytic	ADJ
ejpam-6624	429	5	theory	theory	NOUN
ejpam-6624	429	6	with	with	ADP
ejpam-6624	429	7	prospective	prospective	ADJ
ejpam-6624	429	8	physical	physical	ADJ
ejpam-6624	429	9	applications	application	NOUN
ejpam-6624	429	10	,	,	PUNCT
ejpam-6624	429	11	establishing	establish	VERB
ejpam-6624	429	12	a	a	DET
ejpam-6624	429	13	basis	basis	NOUN
ejpam-6624	429	14	for	for	ADP
ejpam-6624	429	15	further	further	ADJ
ejpam-6624	429	16	exploration	exploration	NOUN
ejpam-6624	429	17	of	of	ADP
ejpam-6624	429	18	the	the	DET
ejpam-6624	429	19	dynamics	dynamic	NOUN
ejpam-6624	429	20	of	of	ADP
ejpam-6624	429	21	nonlinear	nonlinear	ADJ
ejpam-6624	429	22	fractional	fractional	ADJ
ejpam-6624	429	23	systems	system	NOUN
ejpam-6624	429	24	and	and	CCONJ
ejpam-6624	429	25	facilitating	facilitate	VERB
ejpam-6624	429	26	future	future	ADJ
ejpam-6624	429	27	research	research	NOUN
ejpam-6624	429	28	in	in	ADP
ejpam-6624	429	29	mathematical	mathematical	ADJ
ejpam-6624	429	30	physics	physics	NOUN
ejpam-6624	429	31	and	and	CCONJ
ejpam-6624	429	32	engineering	engineering	NOUN
ejpam-6624	429	33	.	.	PUNCT
ejpam-6624	430	1	acknowledgements	acknowledgement	NOUN
ejpam-6624	430	2	the	the	DET
ejpam-6624	430	3	authors	author	NOUN
ejpam-6624	430	4	wish	wish	VERB
ejpam-6624	430	5	to	to	PART
ejpam-6624	430	6	express	express	VERB
ejpam-6624	430	7	their	their	PRON
ejpam-6624	430	8	appreciation	appreciation	NOUN
ejpam-6624	430	9	to	to	ADP
ejpam-6624	430	10	all	all	DET
ejpam-6624	430	11	reviewers	reviewer	NOUN
ejpam-6624	430	12	for	for	ADP
ejpam-6624	430	13	their	their	PRON
ejpam-6624	430	14	perceptive	perceptive	ADJ
ejpam-6624	430	15	comments	comment	NOUN
ejpam-6624	430	16	and	and	CCONJ
ejpam-6624	430	17	to	to	ADP
ejpam-6624	430	18	the	the	DET
ejpam-6624	430	19	editorial	editorial	ADJ
ejpam-6624	430	20	staff	staff	NOUN
ejpam-6624	430	21	for	for	ADP
ejpam-6624	430	22	their	their	PRON
ejpam-6624	430	23	essential	essential	ADJ
ejpam-6624	430	24	support	support	NOUN
ejpam-6624	430	25	in	in	ADP
ejpam-6624	430	26	refining	refine	VERB
ejpam-6624	430	27	this	this	DET
ejpam-6624	430	28	work	work	NOUN
ejpam-6624	430	29	.	.	PUNCT
ejpam-6624	431	1	s.	s.	PROPN
ejpam-6624	431	2	phoosree	phoosree	INTJ
ejpam-6624	431	3	et	et	PROPN
ejpam-6624	431	4	al	al	PROPN
ejpam-6624	431	5	.	.	PUNCT
ejpam-6624	431	6	/	/	SYM
ejpam-6624	431	7	eur	eur	PROPN
ejpam-6624	431	8	.	.	PUNCT
ejpam-6624	432	1	j.	j.	PROPN
ejpam-6624	432	2	pure	pure	PROPN
ejpam-6624	432	3	appl	appl	PROPN
ejpam-6624	432	4	.	.	PROPN
ejpam-6624	432	5	math	math	PROPN
ejpam-6624	432	6	,	,	PUNCT
ejpam-6624	432	7	18	18	NUM
ejpam-6624	432	8	(	(	PUNCT
ejpam-6624	432	9	4	4	NUM
ejpam-6624	432	10	)	)	PUNCT
ejpam-6624	432	11	(	(	PUNCT
ejpam-6624	432	12	2025	2025	NUM
ejpam-6624	432	13	)	)	PUNCT
ejpam-6624	432	14	,	,	PUNCT
ejpam-6624	432	15	6624	6624	NUM
ejpam-6624	432	16	22	22	NUM
ejpam-6624	432	17	of	of	ADP
ejpam-6624	432	18	24	24	NUM
ejpam-6624	432	19	conflicts	conflict	NOUN
ejpam-6624	432	20	of	of	ADP
ejpam-6624	432	21	interest	interest	NOUN
ejpam-6624	432	22	the	the	DET
ejpam-6624	432	23	authors	author	NOUN
ejpam-6624	432	24	declare	declare	VERB
ejpam-6624	432	25	that	that	SCONJ
ejpam-6624	432	26	there	there	PRON
ejpam-6624	432	27	are	be	VERB
ejpam-6624	432	28	no	no	DET
ejpam-6624	432	29	conflicts	conflict	NOUN
ejpam-6624	432	30	of	of	ADP
ejpam-6624	432	31	interest	interest	NOUN
ejpam-6624	432	32	to	to	PART
ejpam-6624	432	33	be	be	AUX
ejpam-6624	432	34	disclosed	disclose	VERB
ejpam-6624	432	35	with	with	ADP
ejpam-6624	432	36	this	this	DET
ejpam-6624	432	37	publication	publication	NOUN
ejpam-6624	432	38	.	.	PUNCT
ejpam-6624	433	1	references	reference	NOUN
ejpam-6624	433	2	[	[	X
ejpam-6624	433	3	1	1	NUM
ejpam-6624	433	4	]	]	PUNCT
ejpam-6624	433	5	w	w	NOUN
ejpam-6624	433	6	thadee	thadee	PROPN
ejpam-6624	433	7	,	,	PUNCT
ejpam-6624	433	8	a	a	DET
ejpam-6624	433	9	chankaew	chankaew	NOUN
ejpam-6624	433	10	,	,	PUNCT
ejpam-6624	433	11	and	and	CCONJ
ejpam-6624	433	12	s	s	VERB
ejpam-6624	433	13	phoosree	phoosree	NOUN
ejpam-6624	433	14	.	.	PUNCT
ejpam-6624	434	1	effects	effect	NOUN
ejpam-6624	434	2	of	of	ADP
ejpam-6624	434	3	wave	wave	NOUN
ejpam-6624	434	4	solutions	solution	NOUN
ejpam-6624	434	5	on	on	ADP
ejpam-6624	434	6	shallow	shallow	ADJ
ejpam-6624	434	7	-	-	PUNCT
ejpam-6624	434	8	water	water	NOUN
ejpam-6624	434	9	equation	equation	NOUN
ejpam-6624	434	10	,	,	PUNCT
ejpam-6624	434	11	optical	optical	ADJ
ejpam-6624	434	12	fibre	fibre	NOUN
ejpam-6624	434	13	equation	equation	NOUN
ejpam-6624	434	14	and	and	CCONJ
ejpam-6624	434	15	electric	electric	ADJ
ejpam-6624	434	16	-	-	PUNCT
ejpam-6624	434	17	circuit	circuit	NOUN
ejpam-6624	434	18	equation	equation	NOUN
ejpam-6624	434	19	.	.	PUNCT
ejpam-6624	435	1	maejo	maejo	PROPN
ejpam-6624	435	2	international	international	PROPN
ejpam-6624	435	3	journal	journal	PROPN
ejpam-6624	435	4	of	of	ADP
ejpam-6624	435	5	science	science	NOUN
ejpam-6624	435	6	and	and	CCONJ
ejpam-6624	435	7	technology	technology	NOUN
ejpam-6624	435	8	,	,	PUNCT
ejpam-6624	435	9	16(3):262–274	16(3):262–274	NUM
ejpam-6624	435	10	,	,	PUNCT
ejpam-6624	435	11	2022	2022	NUM
ejpam-6624	435	12	.	.	PUNCT
ejpam-6624	436	1	[	[	X
ejpam-6624	436	2	2	2	NUM
ejpam-6624	436	3	]	]	X
ejpam-6624	436	4	h	h	NOUN
ejpam-6624	436	5	k	k	PROPN
ejpam-6624	436	6	barman	barman	PROPN
ejpam-6624	436	7	,	,	PUNCT
ejpam-6624	436	8	m	m	VERB
ejpam-6624	436	9	a	a	DET
ejpam-6624	436	10	akbar	akbar	NOUN
ejpam-6624	436	11	,	,	PUNCT
ejpam-6624	437	1	m	m	PROPN
ejpam-6624	437	2	s	s	NOUN
ejpam-6624	437	3	osman	osman	NOUN
ejpam-6624	437	4	,	,	PUNCT
ejpam-6624	437	5	k	k	PROPN
ejpam-6624	437	6	s	s	VERB
ejpam-6624	437	7	nisar	nisar	PROPN
ejpam-6624	437	8	,	,	PUNCT
ejpam-6624	437	9	m	m	VERB
ejpam-6624	437	10	zakarya	zakarya	ADJ
ejpam-6624	437	11	,	,	PUNCT
ejpam-6624	437	12	a.	a.	PROPN
ejpam-6624	437	13	abdel	abdel	PROPN
ejpam-6624	437	14	-	-	PUNCT
ejpam-6624	437	15	aty	aty	PROPN
ejpam-6624	437	16	,	,	PUNCT
ejpam-6624	437	17	and	and	CCONJ
ejpam-6624	437	18	h	h	PROPN
ejpam-6624	437	19	eleuch	eleuch	ADJ
ejpam-6624	437	20	.	.	PUNCT
ejpam-6624	438	1	table	table	NOUN
ejpam-6624	438	2	of	of	ADP
ejpam-6624	438	3	some	some	DET
ejpam-6624	438	4	basic	basic	ADJ
ejpam-6624	438	5	fractional	fractional	ADJ
ejpam-6624	438	6	calculus	calculus	NOUN
ejpam-6624	438	7	formulae	formulae	NOUN
ejpam-6624	438	8	derived	derive	VERB
ejpam-6624	438	9	from	from	ADP
ejpam-6624	438	10	a	a	DET
ejpam-6624	438	11	modified	modify	VERB
ejpam-6624	438	12	riemann	riemann	NOUN
ejpam-6624	438	13	–	–	PUNCT
ejpam-6624	438	14	liouville	liouville	VERB
ejpam-6624	438	15	derivative	derivative	NOUN
ejpam-6624	438	16	for	for	ADP
ejpam-6624	438	17	non	non	ADJ
ejpam-6624	438	18	-	-	ADJ
ejpam-6624	438	19	differentiable	differentiable	ADJ
ejpam-6624	438	20	functions	function	NOUN
ejpam-6624	438	21	.	.	PUNCT
ejpam-6624	439	1	results	result	NOUN
ejpam-6624	439	2	in	in	ADP
ejpam-6624	439	3	physics	physics	NOUN
ejpam-6624	439	4	,	,	PUNCT
ejpam-6624	439	5	24:104092	24:104092	NUM
ejpam-6624	439	6	,	,	PUNCT
ejpam-6624	439	7	2021	2021	NUM
ejpam-6624	439	8	.	.	PUNCT
ejpam-6624	440	1	[	[	X
ejpam-6624	440	2	3	3	X
ejpam-6624	440	3	]	]	SYM
ejpam-6624	440	4	f	f	PROPN
ejpam-6624	440	5	l	l	PROPN
ejpam-6624	440	6	hasan	hasan	PROPN
ejpam-6624	440	7	.	.	PUNCT
ejpam-6624	441	1	first	first	ADJ
ejpam-6624	441	2	integral	integral	ADJ
ejpam-6624	441	3	method	method	NOUN
ejpam-6624	441	4	for	for	ADP
ejpam-6624	441	5	constructing	construct	VERB
ejpam-6624	441	6	new	new	ADJ
ejpam-6624	441	7	exact	exact	ADJ
ejpam-6624	441	8	solutions	solution	NOUN
ejpam-6624	441	9	of	of	ADP
ejpam-6624	441	10	the	the	DET
ejpam-6624	441	11	important	important	ADJ
ejpam-6624	441	12	nonlinear	nonlinear	ADJ
ejpam-6624	441	13	evolution	evolution	NOUN
ejpam-6624	441	14	equations	equation	NOUN
ejpam-6624	441	15	in	in	ADP
ejpam-6624	441	16	physics	physics	PROPN
ejpam-6624	441	17	.	.	PUNCT
ejpam-6624	442	1	in	in	ADP
ejpam-6624	442	2	journal	journal	PROPN
ejpam-6624	442	3	of	of	ADP
ejpam-6624	442	4	physics	physics	PROPN
ejpam-6624	442	5	:	:	PUNCT
ejpam-6624	442	6	conference	conference	NOUN
ejpam-6624	442	7	series	series	NOUN
ejpam-6624	442	8	.	.	PUNCT
ejpam-6624	442	9	,	,	PUNCT
ejpam-6624	442	10	page	page	NOUN
ejpam-6624	442	11	012109	012109	NUM
ejpam-6624	442	12	,	,	PUNCT
ejpam-6624	442	13	iraq	iraq	PROPN
ejpam-6624	442	14	,	,	PUNCT
ejpam-6624	442	15	2020	2020	NUM
ejpam-6624	442	16	.	.	PUNCT
ejpam-6624	443	1	imam	imam	PROPN
ejpam-6624	443	2	al	al	PROPN
ejpam-6624	443	3	-	-	PUNCT
ejpam-6624	443	4	kadhum	kadhum	PROPN
ejpam-6624	443	5	international	international	ADJ
ejpam-6624	443	6	conference	conference	NOUN
ejpam-6624	443	7	for	for	ADP
ejpam-6624	443	8	modern	modern	ADJ
ejpam-6624	443	9	applications	application	NOUN
ejpam-6624	443	10	of	of	ADP
ejpam-6624	443	11	information	information	NOUN
ejpam-6624	443	12	and	and	CCONJ
ejpam-6624	443	13	communication	communication	NOUN
ejpam-6624	443	14	technology	technology	NOUN
ejpam-6624	443	15	(	(	PUNCT
ejpam-6624	443	16	maict	maict	NOUN
ejpam-6624	443	17	)	)	PUNCT
ejpam-6624	443	18	.	.	PUNCT
ejpam-6624	444	1	[	[	X
ejpam-6624	444	2	4	4	X
ejpam-6624	444	3	]	]	PUNCT
ejpam-6624	444	4	a	a	DET
ejpam-6624	444	5	r	r	NOUN
ejpam-6624	444	6	alharbi	alharbi	NOUN
ejpam-6624	444	7	and	and	CCONJ
ejpam-6624	444	8	m	m	PROPN
ejpam-6624	444	9	b	b	PROPN
ejpam-6624	444	10	almatrafi	almatrafi	NUM
ejpam-6624	444	11	.	.	PUNCT
ejpam-6624	445	1	riccati	riccati	PROPN
ejpam-6624	445	2	-	-	PUNCT
ejpam-6624	445	3	bernoulli	bernoulli	PROPN
ejpam-6624	445	4	sub	sub	ADJ
ejpam-6624	445	5	-	-	ADJ
ejpam-6624	445	6	ode	ode	ADJ
ejpam-6624	445	7	approach	approach	NOUN
ejpam-6624	445	8	on	on	ADP
ejpam-6624	445	9	the	the	DET
ejpam-6624	445	10	partial	partial	ADJ
ejpam-6624	445	11	differential	differential	ADJ
ejpam-6624	445	12	equations	equation	NOUN
ejpam-6624	445	13	and	and	CCONJ
ejpam-6624	445	14	applications	application	NOUN
ejpam-6624	445	15	.	.	PUNCT
ejpam-6624	446	1	international	international	ADJ
ejpam-6624	446	2	journal	journal	PROPN
ejpam-6624	446	3	of	of	ADP
ejpam-6624	446	4	mathematics	mathematic	NOUN
ejpam-6624	446	5	and	and	CCONJ
ejpam-6624	446	6	computer	computer	NOUN
ejpam-6624	446	7	science	science	NOUN
ejpam-6624	446	8	,	,	PUNCT
ejpam-6624	446	9	15(1):367–388	15(1):367–388	NUM
ejpam-6624	446	10	,	,	PUNCT
ejpam-6624	446	11	2020	2020	NUM
ejpam-6624	446	12	.	.	PUNCT
ejpam-6624	447	1	[	[	X
ejpam-6624	447	2	5	5	NUM
ejpam-6624	447	3	]	]	PUNCT
ejpam-6624	447	4	m	m	VERB
ejpam-6624	447	5	sahoo	sahoo	PROPN
ejpam-6624	447	6	and	and	CCONJ
ejpam-6624	447	7	s	s	PROPN
ejpam-6624	447	8	chakraverty	chakraverty	NOUN
ejpam-6624	447	9	.	.	PUNCT
ejpam-6624	448	1	riccati	riccati	PROPN
ejpam-6624	448	2	–	–	PUNCT
ejpam-6624	448	3	bernoulli	bernoulli	PROPN
ejpam-6624	448	4	sub	sub	ADJ
ejpam-6624	448	5	-	-	ADJ
ejpam-6624	448	6	ode	ode	ADJ
ejpam-6624	448	7	method	method	NOUN
ejpam-6624	448	8	-	-	PUNCT
ejpam-6624	448	9	based	base	VERB
ejpam-6624	448	10	exact	exact	ADJ
ejpam-6624	448	11	solution	solution	NOUN
ejpam-6624	448	12	of	of	ADP
ejpam-6624	448	13	new	new	ADJ
ejpam-6624	448	14	coupled	couple	VERB
ejpam-6624	448	15	konno	konno	NOUN
ejpam-6624	448	16	–	–	PUNCT
ejpam-6624	448	17	oono	oono	NOUN
ejpam-6624	448	18	equation	equation	NOUN
ejpam-6624	448	19	.	.	PUNCT
ejpam-6624	449	1	international	international	ADJ
ejpam-6624	449	2	journal	journal	NOUN
ejpam-6624	449	3	of	of	ADP
ejpam-6624	449	4	modern	modern	ADJ
ejpam-6624	449	5	physics	physics	PROPN
ejpam-6624	449	6	b	b	PROPN
ejpam-6624	449	7	,	,	PUNCT
ejpam-6624	449	8	38(30):2440028	38(30):2440028	NUM
ejpam-6624	449	9	,	,	PUNCT
ejpam-6624	449	10	2024	2024	NUM
ejpam-6624	449	11	.	.	PUNCT
ejpam-6624	450	1	[	[	X
ejpam-6624	450	2	6	6	NUM
ejpam-6624	450	3	]	]	SYM
ejpam-6624	450	4	w	w	NOUN
ejpam-6624	450	5	thadee	thadee	PROPN
ejpam-6624	450	6	,	,	PUNCT
ejpam-6624	450	7	s	s	PART
ejpam-6624	450	8	kirisri	kirisri	NOUN
ejpam-6624	450	9	,	,	PUNCT
ejpam-6624	450	10	a	a	DET
ejpam-6624	450	11	kammanee	kammanee	NOUN
ejpam-6624	450	12	,	,	PUNCT
ejpam-6624	450	13	j	j	PROPN
ejpam-6624	450	14	thepjinda	thepjinda	NOUN
ejpam-6624	450	15	,	,	PUNCT
ejpam-6624	450	16	and	and	CCONJ
ejpam-6624	450	17	s	s	VERB
ejpam-6624	450	18	phoosree	phoosree	NOUN
ejpam-6624	450	19	.	.	PUNCT
ejpam-6624	451	1	novel	novel	ADJ
ejpam-6624	451	2	solution	solution	NOUN
ejpam-6624	451	3	behaviors	behavior	NOUN
ejpam-6624	451	4	for	for	ADP
ejpam-6624	451	5	some	some	DET
ejpam-6624	451	6	communication	communication	NOUN
ejpam-6624	451	7	equation	equation	NOUN
ejpam-6624	451	8	and	and	CCONJ
ejpam-6624	451	9	plasma	plasma	NOUN
ejpam-6624	451	10	physics	physics	NOUN
ejpam-6624	451	11	equation	equation	NOUN
ejpam-6624	451	12	via	via	ADP
ejpam-6624	451	13	generalized	generalize	VERB
ejpam-6624	451	14	riccati	riccati	NOUN
ejpam-6624	451	15	equation	equation	NOUN
ejpam-6624	451	16	mapping	mapping	NOUN
ejpam-6624	451	17	method	method	NOUN
ejpam-6624	451	18	.	.	PUNCT
ejpam-6624	452	1	kuwait	kuwait	PROPN
ejpam-6624	452	2	journal	journal	PROPN
ejpam-6624	452	3	of	of	ADP
ejpam-6624	452	4	science	science	PROPN
ejpam-6624	452	5	,	,	PUNCT
ejpam-6624	452	6	52:100376	52:100376	NUM
ejpam-6624	452	7	,	,	PUNCT
ejpam-6624	452	8	2025	2025	NUM
ejpam-6624	452	9	.	.	PUNCT
ejpam-6624	453	1	[	[	X
ejpam-6624	453	2	7	7	NUM
ejpam-6624	453	3	]	]	X
ejpam-6624	453	4	m	m	VERB
ejpam-6624	453	5	m	m	VERB
ejpam-6624	453	6	a	a	DET
ejpam-6624	453	7	khater	khater	NOUN
ejpam-6624	453	8	.	.	PUNCT
ejpam-6624	454	1	novel	novel	ADJ
ejpam-6624	454	2	computational	computational	ADJ
ejpam-6624	454	3	simulation	simulation	NOUN
ejpam-6624	454	4	of	of	ADP
ejpam-6624	454	5	the	the	DET
ejpam-6624	454	6	propagation	propagation	NOUN
ejpam-6624	454	7	of	of	ADP
ejpam-6624	454	8	pulses	pulse	NOUN
ejpam-6624	454	9	in	in	ADP
ejpam-6624	454	10	optical	optical	ADJ
ejpam-6624	454	11	fibers	fiber	NOUN
ejpam-6624	454	12	regarding	regard	VERB
ejpam-6624	454	13	the	the	DET
ejpam-6624	454	14	dispersion	dispersion	NOUN
ejpam-6624	454	15	effect	effect	NOUN
ejpam-6624	454	16	.	.	PUNCT
ejpam-6624	455	1	international	international	ADJ
ejpam-6624	455	2	journal	journal	NOUN
ejpam-6624	455	3	of	of	ADP
ejpam-6624	455	4	modern	modern	ADJ
ejpam-6624	455	5	physics	physics	PROPN
ejpam-6624	455	6	b	b	PROPN
ejpam-6624	455	7	,	,	PUNCT
ejpam-6624	455	8	37(9):2350083	37(9):2350083	NUM
ejpam-6624	455	9	,	,	PUNCT
ejpam-6624	455	10	2023	2023	NUM
ejpam-6624	455	11	.	.	PUNCT
ejpam-6624	456	1	[	[	X
ejpam-6624	456	2	8	8	NUM
ejpam-6624	456	3	]	]	X
ejpam-6624	456	4	m	m	VERB
ejpam-6624	456	5	m	m	VERB
ejpam-6624	456	6	a	a	DET
ejpam-6624	456	7	khater	khater	NOUN
ejpam-6624	456	8	.	.	PUNCT
ejpam-6624	457	1	prorogation	prorogation	NOUN
ejpam-6624	457	2	of	of	ADP
ejpam-6624	457	3	waves	wave	NOUN
ejpam-6624	457	4	in	in	ADP
ejpam-6624	457	5	shallow	shallow	ADJ
ejpam-6624	457	6	water	water	NOUN
ejpam-6624	457	7	through	through	ADP
ejpam-6624	457	8	unidirectional	unidirectional	ADJ
ejpam-6624	457	9	dullin	dullin	NOUN
ejpam-6624	457	10	–	–	PUNCT
ejpam-6624	457	11	gottwald	gottwald	NOUN
ejpam-6624	457	12	–	–	PUNCT
ejpam-6624	457	13	holm	holm	PROPN
ejpam-6624	457	14	model	model	NOUN
ejpam-6624	457	15	;	;	PUNCT
ejpam-6624	457	16	computational	computational	ADJ
ejpam-6624	457	17	simulations	simulation	NOUN
ejpam-6624	457	18	.	.	PUNCT
ejpam-6624	458	1	international	international	ADJ
ejpam-6624	458	2	journal	journal	NOUN
ejpam-6624	458	3	of	of	ADP
ejpam-6624	458	4	modern	modern	ADJ
ejpam-6624	458	5	physics	physics	PROPN
ejpam-6624	458	6	b	b	PROPN
ejpam-6624	458	7	,	,	PUNCT
ejpam-6624	458	8	37(8):2350071	37(8):2350071	NUM
ejpam-6624	458	9	,	,	PUNCT
ejpam-6624	458	10	2023	2023	NUM
ejpam-6624	458	11	.	.	PUNCT
ejpam-6624	459	1	[	[	X
ejpam-6624	459	2	9	9	NUM
ejpam-6624	459	3	]	]	SYM
ejpam-6624	459	4	h	h	NOUN
ejpam-6624	459	5	u	u	PROPN
ejpam-6624	459	6	rehman	rehman	PROPN
ejpam-6624	459	7	,	,	PUNCT
ejpam-6624	459	8	i	i	PRON
ejpam-6624	459	9	iqbal	iqbal	VERB
ejpam-6624	459	10	,	,	PUNCT
ejpam-6624	459	11	s	s	NOUN
ejpam-6624	459	12	s	s	NOUN
ejpam-6624	459	13	aiadi	aiadi	NOUN
ejpam-6624	459	14	,	,	PUNCT
ejpam-6624	459	15	n	n	PRON
ejpam-6624	459	16	mlaiki	mlaiki	NOUN
ejpam-6624	459	17	,	,	PUNCT
ejpam-6624	459	18	and	and	CCONJ
ejpam-6624	459	19	m	m	PROPN
ejpam-6624	459	20	s	s	NOUN
ejpam-6624	459	21	saleem	saleem	NOUN
ejpam-6624	459	22	.	.	PUNCT
ejpam-6624	460	1	soliton	soliton	NOUN
ejpam-6624	460	2	solutions	solution	NOUN
ejpam-6624	460	3	of	of	ADP
ejpam-6624	460	4	klein	klein	PROPN
ejpam-6624	460	5	–	–	PUNCT
ejpam-6624	460	6	fock	fock	ADJ
ejpam-6624	460	7	–	–	PUNCT
ejpam-6624	460	8	gordon	gordon	NOUN
ejpam-6624	460	9	equation	equation	NOUN
ejpam-6624	460	10	using	use	VERB
ejpam-6624	460	11	sardar	sardar	PROPN
ejpam-6624	460	12	subequation	subequation	NOUN
ejpam-6624	460	13	method	method	NOUN
ejpam-6624	460	14	.	.	PUNCT
ejpam-6624	461	1	mathematics	mathematic	NOUN
ejpam-6624	461	2	,	,	PUNCT
ejpam-6624	461	3	10(18):3377	10(18):3377	NUM
ejpam-6624	461	4	,	,	PUNCT
ejpam-6624	461	5	2022	2022	NUM
ejpam-6624	461	6	.	.	PUNCT
ejpam-6624	462	1	[	[	X
ejpam-6624	462	2	10	10	NUM
ejpam-6624	462	3	]	]	X
ejpam-6624	462	4	m	m	VERB
ejpam-6624	462	5	nadeem	nadeem	ADJ
ejpam-6624	462	6	,	,	PUNCT
ejpam-6624	462	7	o	o	PROPN
ejpam-6624	462	8	a	a	DET
ejpam-6624	462	9	arqub	arqub	NOUN
ejpam-6624	462	10	,	,	PUNCT
ejpam-6624	462	11	a	a	DET
ejpam-6624	462	12	h	h	NOUN
ejpam-6624	462	13	ali	ali	PROPN
ejpam-6624	462	14	,	,	PUNCT
ejpam-6624	462	15	and	and	CCONJ
ejpam-6624	462	16	h	h	DET
ejpam-6624	462	17	a	a	DET
ejpam-6624	462	18	neamah	neamah	NOUN
ejpam-6624	462	19	.	.	PUNCT
ejpam-6624	463	1	bifurcation	bifurcation	NOUN
ejpam-6624	463	2	,	,	PUNCT
ejpam-6624	463	3	chaotic	chaotic	ADJ
ejpam-6624	463	4	analysis	analysis	NOUN
ejpam-6624	463	5	and	and	CCONJ
ejpam-6624	463	6	soliton	soliton	NOUN
ejpam-6624	463	7	solutions	solution	NOUN
ejpam-6624	463	8	to	to	ADP
ejpam-6624	463	9	the	the	DET
ejpam-6624	463	10	(	(	PUNCT
ejpam-6624	463	11	3	3	NUM
ejpam-6624	463	12	+	+	NUM
ejpam-6624	463	13	1)-dimensional	1)-dimensional	NUM
ejpam-6624	463	14	p	p	ADJ
ejpam-6624	463	15	-	-	PUNCT
ejpam-6624	463	16	type	type	NOUN
ejpam-6624	463	17	model	model	NOUN
ejpam-6624	463	18	.	.	PUNCT
ejpam-6624	464	1	alexandria	alexandria	PROPN
ejpam-6624	464	2	engineering	engineering	PROPN
ejpam-6624	464	3	journal	journal	PROPN
ejpam-6624	464	4	,	,	PUNCT
ejpam-6624	464	5	107:245–253	107:245–253	NUM
ejpam-6624	464	6	,	,	PUNCT
ejpam-6624	464	7	2024	2024	NUM
ejpam-6624	464	8	.	.	PUNCT
ejpam-6624	465	1	[	[	X
ejpam-6624	465	2	11	11	NUM
ejpam-6624	465	3	]	]	X
ejpam-6624	465	4	m	m	VERB
ejpam-6624	465	5	nadeem	nadeem	ADJ
ejpam-6624	465	6	,	,	PUNCT
ejpam-6624	465	7	o	o	PROPN
ejpam-6624	465	8	a	a	DET
ejpam-6624	465	9	arqub	arqub	NOUN
ejpam-6624	465	10	,	,	PUNCT
ejpam-6624	465	11	and	and	CCONJ
ejpam-6624	465	12	f	f	PROPN
ejpam-6624	465	13	m	m	PROPN
ejpam-6624	465	14	alotaibi	alotaibi	NOUN
ejpam-6624	465	15	.	.	PUNCT
ejpam-6624	466	1	optical	optical	ADJ
ejpam-6624	466	2	soliton	soliton	NOUN
ejpam-6624	466	3	solutions	solution	NOUN
ejpam-6624	466	4	and	and	CCONJ
ejpam-6624	466	5	modulation	modulation	NOUN
ejpam-6624	466	6	instability	instability	NOUN
ejpam-6624	466	7	for	for	ADP
ejpam-6624	466	8	unstable	unstable	ADJ
ejpam-6624	466	9	conformable	conformable	ADJ
ejpam-6624	466	10	schrödinger	schrödinger	NOUN
ejpam-6624	466	11	model	model	NOUN
ejpam-6624	466	12	.	.	PUNCT
ejpam-6624	467	1	international	international	ADJ
ejpam-6624	467	2	journal	journal	PROPN
ejpam-6624	467	3	of	of	ADP
ejpam-6624	467	4	modern	modern	ADJ
ejpam-6624	467	5	physics	physic	NOUN
ejpam-6624	467	6	c	c	PROPN
ejpam-6624	467	7	,	,	PUNCT
ejpam-6624	467	8	36(01):2450175	36(01):2450175	NUM
ejpam-6624	467	9	,	,	PUNCT
ejpam-6624	467	10	2025	2025	NUM
ejpam-6624	467	11	.	.	PUNCT
ejpam-6624	468	1	s.	s.	PROPN
ejpam-6624	468	2	phoosree	phoosree	INTJ
ejpam-6624	468	3	et	et	PROPN
ejpam-6624	468	4	al	al	PROPN
ejpam-6624	468	5	.	.	PUNCT
ejpam-6624	468	6	/	/	SYM
ejpam-6624	468	7	eur	eur	PROPN
ejpam-6624	468	8	.	.	PUNCT
ejpam-6624	469	1	j.	j.	PROPN
ejpam-6624	469	2	pure	pure	PROPN
ejpam-6624	469	3	appl	appl	PROPN
ejpam-6624	469	4	.	.	PROPN
ejpam-6624	469	5	math	math	PROPN
ejpam-6624	469	6	,	,	PUNCT
ejpam-6624	469	7	18	18	NUM
ejpam-6624	469	8	(	(	PUNCT
ejpam-6624	469	9	4	4	NUM
ejpam-6624	469	10	)	)	PUNCT
ejpam-6624	469	11	(	(	PUNCT
ejpam-6624	469	12	2025	2025	NUM
ejpam-6624	469	13	)	)	PUNCT
ejpam-6624	469	14	,	,	PUNCT
ejpam-6624	469	15	6624	6624	NUM
ejpam-6624	469	16	23	23	NUM
ejpam-6624	469	17	of	of	ADP
ejpam-6624	469	18	24	24	NUM
ejpam-6624	469	19	[	[	X
ejpam-6624	469	20	12	12	NUM
ejpam-6624	469	21	]	]	X
ejpam-6624	469	22	g	g	PROPN
ejpam-6624	469	23	bakıcıerler	bakıcıerler	NOUN
ejpam-6624	469	24	and	and	CCONJ
ejpam-6624	469	25	e	e	NOUN
ejpam-6624	469	26	mısırlı	mısırlı	NOUN
ejpam-6624	469	27	.	.	PUNCT
ejpam-6624	470	1	on	on	ADP
ejpam-6624	470	2	new	new	ADJ
ejpam-6624	470	3	analytical	analytical	ADJ
ejpam-6624	470	4	solutions	solution	NOUN
ejpam-6624	470	5	of	of	ADP
ejpam-6624	470	6	fractional	fractional	ADJ
ejpam-6624	470	7	systems	system	NOUN
ejpam-6624	470	8	in	in	ADP
ejpam-6624	470	9	shallow	shallow	ADJ
ejpam-6624	470	10	water	water	NOUN
ejpam-6624	470	11	dynamics	dynamic	NOUN
ejpam-6624	470	12	.	.	PUNCT
ejpam-6624	471	1	revista	revista	PROPN
ejpam-6624	471	2	mexicana	mexicana	PROPN
ejpam-6624	471	3	de	de	PROPN
ejpam-6624	471	4	f́ısica	f́ısica	PROPN
ejpam-6624	471	5	,	,	PUNCT
ejpam-6624	471	6	68(5):050701	68(5):050701	NUM
ejpam-6624	471	7	,	,	PUNCT
ejpam-6624	471	8	2022	2022	NUM
ejpam-6624	471	9	.	.	PUNCT
ejpam-6624	472	1	[	[	X
ejpam-6624	472	2	13	13	NUM
ejpam-6624	472	3	]	]	X
ejpam-6624	472	4	m	m	PROPN
ejpam-6624	472	5	s	s	NOUN
ejpam-6624	472	6	iqbal	iqbal	PROPN
ejpam-6624	472	7	,	,	PUNCT
ejpam-6624	472	8	a	a	DET
ejpam-6624	472	9	r	r	NOUN
ejpam-6624	472	10	seadawy	seadawy	NOUN
ejpam-6624	472	11	,	,	PUNCT
ejpam-6624	472	12	m	m	PROPN
ejpam-6624	472	13	z	z	NOUN
ejpam-6624	472	14	baber	baber	PROPN
ejpam-6624	472	15	,	,	PUNCT
ejpam-6624	472	16	and	and	CCONJ
ejpam-6624	472	17	m	m	PROPN
ejpam-6624	472	18	qasim	qasim	PROPN
ejpam-6624	472	19	.	.	PUNCT
ejpam-6624	473	1	application	application	NOUN
ejpam-6624	473	2	of	of	ADP
ejpam-6624	473	3	modified	modify	VERB
ejpam-6624	473	4	exponential	exponential	ADJ
ejpam-6624	473	5	rational	rational	ADJ
ejpam-6624	473	6	function	function	NOUN
ejpam-6624	473	7	method	method	NOUN
ejpam-6624	473	8	to	to	PART
ejpam-6624	473	9	jaulent	jaulent	VERB
ejpam-6624	473	10	–	–	PUNCT
ejpam-6624	473	11	miodek	miodek	NOUN
ejpam-6624	473	12	system	system	NOUN
ejpam-6624	473	13	leading	lead	VERB
ejpam-6624	473	14	to	to	ADP
ejpam-6624	473	15	exact	exact	ADJ
ejpam-6624	473	16	classical	classical	ADJ
ejpam-6624	473	17	solutions	solution	NOUN
ejpam-6624	473	18	.	.	PUNCT
ejpam-6624	474	1	chaos	chaos	NOUN
ejpam-6624	474	2	,	,	PUNCT
ejpam-6624	474	3	solitons	soliton	NOUN
ejpam-6624	474	4	fractals	fractal	NOUN
ejpam-6624	474	5	,	,	PUNCT
ejpam-6624	474	6	164:112600	164:112600	NUM
ejpam-6624	474	7	,	,	PUNCT
ejpam-6624	474	8	2022	2022	NUM
ejpam-6624	474	9	.	.	PUNCT
ejpam-6624	475	1	[	[	X
ejpam-6624	475	2	14	14	NUM
ejpam-6624	475	3	]	]	X
ejpam-6624	475	4	m	m	VERB
ejpam-6624	475	5	djilali	djilali	ADJ
ejpam-6624	475	6	and	and	CCONJ
ejpam-6624	475	7	m	m	PROPN
ejpam-6624	475	8	hakem	hakem	NOUN
ejpam-6624	475	9	.	.	PUNCT
ejpam-6624	476	1	(	(	PUNCT
ejpam-6624	476	2	g′/g)-expansion	g′/g)-expansion	NOUN
ejpam-6624	476	3	method	method	NOUN
ejpam-6624	476	4	to	to	PART
ejpam-6624	476	5	seek	seek	VERB
ejpam-6624	476	6	traveling	travel	VERB
ejpam-6624	476	7	wave	wave	NOUN
ejpam-6624	476	8	solutions	solution	NOUN
ejpam-6624	476	9	for	for	ADP
ejpam-6624	476	10	some	some	DET
ejpam-6624	476	11	fractional	fractional	ADJ
ejpam-6624	476	12	nonlinear	nonlinear	ADJ
ejpam-6624	476	13	pdes	pde	NOUN
ejpam-6624	476	14	arising	arise	VERB
ejpam-6624	476	15	in	in	ADP
ejpam-6624	476	16	natural	natural	ADJ
ejpam-6624	476	17	sciences	science	NOUN
ejpam-6624	476	18	.	.	PUNCT
ejpam-6624	477	1	advances	advance	NOUN
ejpam-6624	477	2	in	in	ADP
ejpam-6624	477	3	the	the	DET
ejpam-6624	477	4	theory	theory	NOUN
ejpam-6624	477	5	of	of	ADP
ejpam-6624	477	6	nonlinear	nonlinear	ADJ
ejpam-6624	477	7	analysis	analysis	NOUN
ejpam-6624	477	8	and	and	CCONJ
ejpam-6624	477	9	its	its	PRON
ejpam-6624	477	10	applications	application	NOUN
ejpam-6624	477	11	,	,	PUNCT
ejpam-6624	477	12	7(2):303–318	7(2):303–318	NUM
ejpam-6624	477	13	,	,	PUNCT
ejpam-6624	477	14	2023	2023	NUM
ejpam-6624	477	15	.	.	PUNCT
ejpam-6624	478	1	[	[	X
ejpam-6624	478	2	15	15	NUM
ejpam-6624	478	3	]	]	X
ejpam-6624	478	4	s	s	VERB
ejpam-6624	478	5	phoosree	phoosree	NOUN
ejpam-6624	478	6	and	and	CCONJ
ejpam-6624	478	7	s	s	VERB
ejpam-6624	478	8	chinviriyasit	chinviriyasit	ADJ
ejpam-6624	478	9	.	.	PUNCT
ejpam-6624	479	1	new	new	ADJ
ejpam-6624	479	2	analytic	analytic	ADJ
ejpam-6624	479	3	solutions	solution	NOUN
ejpam-6624	479	4	of	of	ADP
ejpam-6624	479	5	some	some	DET
ejpam-6624	479	6	fourth	fourth	ADJ
ejpam-6624	479	7	-	-	PUNCT
ejpam-6624	479	8	order	order	NOUN
ejpam-6624	479	9	nonlinear	nonlinear	ADJ
ejpam-6624	479	10	space	space	NOUN
ejpam-6624	479	11	-	-	PUNCT
ejpam-6624	479	12	time	time	NOUN
ejpam-6624	479	13	fractional	fractional	ADJ
ejpam-6624	479	14	partial	partial	ADJ
ejpam-6624	479	15	differential	differential	NOUN
ejpam-6624	479	16	equations	equation	NOUN
ejpam-6624	479	17	by	by	ADP
ejpam-6624	479	18	g′/g	g′/g	NOUN
ejpam-6624	479	19	-	-	PUNCT
ejpam-6624	479	20	expansion	expansion	NOUN
ejpam-6624	479	21	method	method	NOUN
ejpam-6624	479	22	.	.	PUNCT
ejpam-6624	480	1	songklanakarin	songklanakarin	PROPN
ejpam-6624	480	2	journal	journal	PROPN
ejpam-6624	480	3	of	of	ADP
ejpam-6624	480	4	science	science	NOUN
ejpam-6624	480	5	and	and	CCONJ
ejpam-6624	480	6	technology	technology	NOUN
ejpam-6624	480	7	,	,	PUNCT
ejpam-6624	480	8	43(3):795–801	43(3):795–801	PROPN
ejpam-6624	480	9	,	,	PUNCT
ejpam-6624	480	10	2021	2021	NUM
ejpam-6624	480	11	.	.	PUNCT
ejpam-6624	481	1	[	[	X
ejpam-6624	481	2	16	16	NUM
ejpam-6624	481	3	]	]	SYM
ejpam-6624	481	4	s	s	PROPN
ejpam-6624	481	5	behera	behera	NOUN
ejpam-6624	481	6	and	and	CCONJ
ejpam-6624	481	7	n	n	PROPN
ejpam-6624	481	8	h	h	PROPN
ejpam-6624	481	9	aljahdaly	aljahdaly	PROPN
ejpam-6624	481	10	.	.	PUNCT
ejpam-6624	482	1	nonlinear	nonlinear	ADJ
ejpam-6624	482	2	evolution	evolution	NOUN
ejpam-6624	482	3	equations	equation	NOUN
ejpam-6624	482	4	and	and	CCONJ
ejpam-6624	482	5	their	their	PRON
ejpam-6624	482	6	traveling	travel	VERB
ejpam-6624	482	7	wave	wave	NOUN
ejpam-6624	482	8	solutions	solution	NOUN
ejpam-6624	482	9	in	in	ADP
ejpam-6624	482	10	fluid	fluid	ADJ
ejpam-6624	482	11	media	medium	NOUN
ejpam-6624	482	12	by	by	ADP
ejpam-6624	482	13	modified	modify	VERB
ejpam-6624	482	14	analytical	analytical	ADJ
ejpam-6624	482	15	method	method	NOUN
ejpam-6624	482	16	.	.	PUNCT
ejpam-6624	483	1	pramana	pramana	PROPN
ejpam-6624	483	2	,	,	PUNCT
ejpam-6624	483	3	97:130	97:130	NUM
ejpam-6624	483	4	,	,	PUNCT
ejpam-6624	483	5	2023	2023	NUM
ejpam-6624	483	6	.	.	PUNCT
ejpam-6624	484	1	[	[	X
ejpam-6624	484	2	17	17	NUM
ejpam-6624	484	3	]	]	SYM
ejpam-6624	484	4	s	s	PROPN
ejpam-6624	484	5	behera	behera	PROPN
ejpam-6624	484	6	,	,	PUNCT
ejpam-6624	484	7	n	n	PROPN
ejpam-6624	484	8	h	h	NOUN
ejpam-6624	484	9	aljahdaly	aljahdaly	NOUN
ejpam-6624	484	10	,	,	PUNCT
ejpam-6624	484	11	and	and	CCONJ
ejpam-6624	484	12	j	j	PROPN
ejpam-6624	484	13	p	p	X
ejpam-6624	484	14	s	s	PROPN
ejpam-6624	484	15	virdi	virdi	NOUN
ejpam-6624	484	16	.	.	PUNCT
ejpam-6624	485	1	on	on	ADP
ejpam-6624	485	2	the	the	DET
ejpam-6624	485	3	modified	modify	VERB
ejpam-6624	485	4	(	(	PUNCT
ejpam-6624	485	5	g′	g′	NOUN
ejpam-6624	485	6	g2	g2	PROPN
ejpam-6624	485	7	)	)	PUNCT
ejpam-6624	485	8	expansion	expansion	NOUN
ejpam-6624	485	9	method	method	NOUN
ejpam-6624	485	10	for	for	ADP
ejpam-6624	485	11	finding	find	VERB
ejpam-6624	485	12	some	some	DET
ejpam-6624	485	13	analytical	analytical	ADJ
ejpam-6624	485	14	solutions	solution	NOUN
ejpam-6624	485	15	of	of	ADP
ejpam-6624	485	16	the	the	DET
ejpam-6624	485	17	traveling	travel	VERB
ejpam-6624	485	18	waves	wave	NOUN
ejpam-6624	485	19	.	.	PUNCT
ejpam-6624	486	1	journal	journal	NOUN
ejpam-6624	486	2	of	of	ADP
ejpam-6624	486	3	ocean	ocean	PROPN
ejpam-6624	486	4	engineering	engineering	NOUN
ejpam-6624	486	5	and	and	CCONJ
ejpam-6624	486	6	science	science	NOUN
ejpam-6624	486	7	,	,	PUNCT
ejpam-6624	486	8	7(4):313–320	7(4):313–320	NOUN
ejpam-6624	486	9	,	,	PUNCT
ejpam-6624	486	10	2022	2022	NUM
ejpam-6624	486	11	.	.	PUNCT
ejpam-6624	487	1	[	[	X
ejpam-6624	487	2	18	18	NUM
ejpam-6624	487	3	]	]	SYM
ejpam-6624	487	4	b	b	NOUN
ejpam-6624	487	5	babajanov	babajanov	NOUN
ejpam-6624	487	6	and	and	CCONJ
ejpam-6624	487	7	f	f	PROPN
ejpam-6624	487	8	abdikarimo	abdikarimo	PROPN
ejpam-6624	487	9	.	.	PUNCT
ejpam-6624	488	1	nonlinear	nonlinear	ADJ
ejpam-6624	488	2	evolution	evolution	NOUN
ejpam-6624	488	3	equations	equation	NOUN
ejpam-6624	488	4	and	and	CCONJ
ejpam-6624	488	5	their	their	PRON
ejpam-6624	488	6	traveling	travel	VERB
ejpam-6624	488	7	wave	wave	NOUN
ejpam-6624	488	8	solutions	solution	NOUN
ejpam-6624	488	9	in	in	ADP
ejpam-6624	488	10	fluid	fluid	ADJ
ejpam-6624	488	11	media	medium	NOUN
ejpam-6624	488	12	by	by	ADP
ejpam-6624	488	13	modified	modify	VERB
ejpam-6624	488	14	analytical	analytical	ADJ
ejpam-6624	488	15	method	method	NOUN
ejpam-6624	488	16	.	.	PUNCT
ejpam-6624	489	1	frontiers	frontier	NOUN
ejpam-6624	489	2	in	in	ADP
ejpam-6624	489	3	applied	apply	VERB
ejpam-6624	489	4	mathematics	mathematic	NOUN
ejpam-6624	489	5	and	and	CCONJ
ejpam-6624	489	6	statistics	statistic	NOUN
ejpam-6624	489	7	,	,	PUNCT
ejpam-6624	489	8	8:912674	8:912674	NUM
ejpam-6624	489	9	,	,	PUNCT
ejpam-6624	489	10	2022	2022	NUM
ejpam-6624	489	11	.	.	PUNCT
ejpam-6624	490	1	[	[	X
ejpam-6624	490	2	19	19	NUM
ejpam-6624	490	3	]	]	X
ejpam-6624	490	4	h	h	NOUN
ejpam-6624	490	5	rezazadeh	rezazadeh	PROPN
ejpam-6624	490	6	,	,	PUNCT
ejpam-6624	490	7	j	j	PROPN
ejpam-6624	490	8	vahidi	vahidi	PROPN
ejpam-6624	490	9	,	,	PUNCT
ejpam-6624	490	10	a	a	DET
ejpam-6624	490	11	zafar	zafar	PROPN
ejpam-6624	490	12	,	,	PUNCT
ejpam-6624	490	13	and	and	CCONJ
ejpam-6624	490	14	a	a	DET
ejpam-6624	490	15	bekir	bekir	NOUN
ejpam-6624	490	16	.	.	PUNCT
ejpam-6624	491	1	the	the	DET
ejpam-6624	491	2	functional	functional	ADJ
ejpam-6624	491	3	variable	variable	ADJ
ejpam-6624	491	4	method	method	NOUN
ejpam-6624	491	5	to	to	PART
ejpam-6624	491	6	find	find	VERB
ejpam-6624	491	7	new	new	ADJ
ejpam-6624	491	8	exact	exact	ADJ
ejpam-6624	491	9	solutions	solution	NOUN
ejpam-6624	491	10	of	of	ADP
ejpam-6624	491	11	the	the	DET
ejpam-6624	491	12	nonlinear	nonlinear	ADJ
ejpam-6624	491	13	evolution	evolution	NOUN
ejpam-6624	491	14	equations	equation	NOUN
ejpam-6624	491	15	with	with	ADP
ejpam-6624	491	16	dual	dual	ADJ
ejpam-6624	491	17	-	-	PUNCT
ejpam-6624	491	18	power	power	NOUN
ejpam-6624	491	19	-	-	PUNCT
ejpam-6624	491	20	law	law	NOUN
ejpam-6624	491	21	nonlinearity	nonlinearity	NOUN
ejpam-6624	491	22	.	.	PUNCT
ejpam-6624	492	1	international	international	ADJ
ejpam-6624	492	2	journal	journal	PROPN
ejpam-6624	492	3	of	of	ADP
ejpam-6624	492	4	nonlinear	nonlinear	PROPN
ejpam-6624	492	5	sciences	sciences	PROPN
ejpam-6624	492	6	and	and	CCONJ
ejpam-6624	492	7	numerical	numerical	PROPN
ejpam-6624	492	8	simulation	simulation	PROPN
ejpam-6624	492	9	,	,	PUNCT
ejpam-6624	492	10	21(3	21(3	PROPN
ejpam-6624	492	11	-	-	SYM
ejpam-6624	492	12	4):249–257	4):249–257	NOUN
ejpam-6624	492	13	,	,	PUNCT
ejpam-6624	492	14	2020	2020	NUM
ejpam-6624	492	15	.	.	PUNCT
ejpam-6624	493	1	[	[	X
ejpam-6624	493	2	20	20	NUM
ejpam-6624	493	3	]	]	SYM
ejpam-6624	493	4	j	j	PROPN
ejpam-6624	493	5	sanjun	sanjun	PROPN
ejpam-6624	493	6	and	and	CCONJ
ejpam-6624	493	7	a	a	DET
ejpam-6624	493	8	chankaew	chankaew	NOUN
ejpam-6624	493	9	.	.	PUNCT
ejpam-6624	494	1	wave	wave	NOUN
ejpam-6624	494	2	solutions	solution	NOUN
ejpam-6624	494	3	of	of	ADP
ejpam-6624	494	4	the	the	DET
ejpam-6624	494	5	dmbbm	dmbbm	PROPN
ejpam-6624	494	6	equation	equation	NOUN
ejpam-6624	494	7	and	and	CCONJ
ejpam-6624	494	8	the	the	DET
ejpam-6624	494	9	ckg	ckg	NOUN
ejpam-6624	494	10	equation	equation	NOUN
ejpam-6624	494	11	using	use	VERB
ejpam-6624	494	12	the	the	DET
ejpam-6624	494	13	simple	simple	ADJ
ejpam-6624	494	14	equation	equation	NOUN
ejpam-6624	494	15	method	method	NOUN
ejpam-6624	494	16	.	.	PUNCT
ejpam-6624	495	1	frontiers	frontier	NOUN
ejpam-6624	495	2	in	in	ADP
ejpam-6624	495	3	applied	apply	VERB
ejpam-6624	495	4	mathematics	mathematic	NOUN
ejpam-6624	495	5	and	and	CCONJ
ejpam-6624	495	6	statistics	statistic	NOUN
ejpam-6624	495	7	,	,	PUNCT
ejpam-6624	495	8	8:952668	8:952668	NUM
ejpam-6624	495	9	,	,	PUNCT
ejpam-6624	495	10	2022	2022	NUM
ejpam-6624	495	11	.	.	PUNCT
ejpam-6624	496	1	[	[	X
ejpam-6624	496	2	21	21	NUM
ejpam-6624	496	3	]	]	X
ejpam-6624	496	4	w	w	NOUN
ejpam-6624	496	5	thadee	thadee	NOUN
ejpam-6624	496	6	and	and	CCONJ
ejpam-6624	496	7	s	s	VERB
ejpam-6624	496	8	phoosree	phoosree	NOUN
ejpam-6624	496	9	.	.	PUNCT
ejpam-6624	497	1	new	new	ADJ
ejpam-6624	497	2	wave	wave	NOUN
ejpam-6624	497	3	behaviors	behavior	NOUN
ejpam-6624	497	4	generated	generate	VERB
ejpam-6624	497	5	by	by	ADP
ejpam-6624	497	6	simple	simple	ADJ
ejpam-6624	497	7	equation	equation	NOUN
ejpam-6624	497	8	method	method	NOUN
ejpam-6624	497	9	with	with	ADP
ejpam-6624	497	10	riccati	riccati	NOUN
ejpam-6624	497	11	equation	equation	NOUN
ejpam-6624	497	12	of	of	ADP
ejpam-6624	497	13	some	some	DET
ejpam-6624	497	14	fourth	fourth	ADJ
ejpam-6624	497	15	-	-	PUNCT
ejpam-6624	497	16	order	order	NOUN
ejpam-6624	497	17	fractional	fractional	ADJ
ejpam-6624	497	18	water	water	NOUN
ejpam-6624	497	19	wave	wave	NOUN
ejpam-6624	497	20	equations	equation	NOUN
ejpam-6624	497	21	.	.	PUNCT
ejpam-6624	498	1	journal	journal	NOUN
ejpam-6624	498	2	of	of	ADP
ejpam-6624	498	3	the	the	DET
ejpam-6624	498	4	physical	physical	ADJ
ejpam-6624	498	5	society	society	NOUN
ejpam-6624	498	6	of	of	ADP
ejpam-6624	498	7	japan	japan	PROPN
ejpam-6624	498	8	,	,	PUNCT
ejpam-6624	498	9	93:014002	93:014002	NUM
ejpam-6624	498	10	,	,	PUNCT
ejpam-6624	498	11	2024	2024	NUM
ejpam-6624	498	12	.	.	PUNCT
ejpam-6624	499	1	[	[	X
ejpam-6624	499	2	22	22	NUM
ejpam-6624	499	3	]	]	X
ejpam-6624	499	4	h	h	NOUN
ejpam-6624	499	5	ding	ding	NOUN
ejpam-6624	499	6	and	and	CCONJ
ejpam-6624	499	7	c	c	PROPN
ejpam-6624	499	8	li	li	PROPN
ejpam-6624	499	9	.	.	PROPN
ejpam-6624	499	10	numerical	numerical	PROPN
ejpam-6624	499	11	algorithms	algorithm	NOUN
ejpam-6624	499	12	for	for	ADP
ejpam-6624	499	13	the	the	DET
ejpam-6624	499	14	time	time	NOUN
ejpam-6624	499	15	-	-	PUNCT
ejpam-6624	499	16	caputo	caputo	NOUN
ejpam-6624	499	17	and	and	CCONJ
ejpam-6624	499	18	space	space	NOUN
ejpam-6624	499	19	-	-	PUNCT
ejpam-6624	499	20	riesz	riesz	NOUN
ejpam-6624	499	21	fractional	fractional	PROPN
ejpam-6624	499	22	bloch	bloch	PROPN
ejpam-6624	499	23	-	-	PUNCT
ejpam-6624	499	24	torrey	torrey	PROPN
ejpam-6624	499	25	equations	equation	NOUN
ejpam-6624	499	26	.	.	PUNCT
ejpam-6624	500	1	numerical	numerical	ADJ
ejpam-6624	500	2	methods	method	NOUN
ejpam-6624	500	3	for	for	ADP
ejpam-6624	500	4	partial	partial	ADJ
ejpam-6624	500	5	differential	differential	NOUN
ejpam-6624	500	6	equations	equation	NOUN
ejpam-6624	500	7	,	,	PUNCT
ejpam-6624	500	8	36(41):772–799	36(41):772–799	NUM
ejpam-6624	500	9	,	,	PUNCT
ejpam-6624	500	10	2020	2020	NUM
ejpam-6624	500	11	.	.	PUNCT
ejpam-6624	501	1	[	[	X
ejpam-6624	501	2	23	23	NUM
ejpam-6624	501	3	]	]	PUNCT
ejpam-6624	501	4	a	a	DET
ejpam-6624	501	5	el	el	PROPN
ejpam-6624	501	6	-	-	PUNCT
ejpam-6624	501	7	kahlout	kahlout	PROPN
ejpam-6624	501	8	and	and	CCONJ
ejpam-6624	501	9	m	m	PROPN
ejpam-6624	501	10	hakem	hakem	NOUN
ejpam-6624	501	11	.	.	PUNCT
ejpam-6624	502	1	exact	exact	ADJ
ejpam-6624	502	2	solutions	solution	NOUN
ejpam-6624	502	3	of	of	ADP
ejpam-6624	502	4	partial	partial	ADJ
ejpam-6624	502	5	differential	differential	ADJ
ejpam-6624	502	6	equations	equation	NOUN
ejpam-6624	502	7	of	of	ADP
ejpam-6624	502	8	caputo	caputo	PROPN
ejpam-6624	502	9	fractional	fractional	ADJ
ejpam-6624	502	10	order	order	NOUN
ejpam-6624	502	11	.	.	PUNCT
ejpam-6624	503	1	international	international	ADJ
ejpam-6624	503	2	journal	journal	PROPN
ejpam-6624	503	3	of	of	ADP
ejpam-6624	503	4	contemporary	contemporary	PROPN
ejpam-6624	503	5	mathematical	mathematical	PROPN
ejpam-6624	503	6	sciences	sciences	PROPN
ejpam-6624	503	7	,	,	PUNCT
ejpam-6624	503	8	16(3):115–126	16(3):115–126	PROPN
ejpam-6624	503	9	,	,	PUNCT
ejpam-6624	503	10	2021	2021	NUM
ejpam-6624	503	11	.	.	PUNCT
ejpam-6624	504	1	[	[	X
ejpam-6624	504	2	24	24	NUM
ejpam-6624	504	3	]	]	X
ejpam-6624	504	4	l	l	NOUN
ejpam-6624	504	5	f	f	PROPN
ejpam-6624	504	6	seddek	seddek	NOUN
ejpam-6624	504	7	,	,	PUNCT
ejpam-6624	504	8	a	a	DET
ejpam-6624	504	9	ebaid	ebaid	NOUN
ejpam-6624	504	10	,	,	PUNCT
ejpam-6624	504	11	e	e	PROPN
ejpam-6624	504	12	r	r	PROPN
ejpam-6624	504	13	el	el	PROPN
ejpam-6624	504	14	-	-	PUNCT
ejpam-6624	504	15	zahar	zahar	PROPN
ejpam-6624	504	16	,	,	PUNCT
ejpam-6624	504	17	and	and	CCONJ
ejpam-6624	504	18	m	m	PROPN
ejpam-6624	504	19	d	d	NOUN
ejpam-6624	504	20	aljoufi	aljoufi	ADJ
ejpam-6624	504	21	.	.	PUNCT
ejpam-6624	505	1	exact	exact	ADJ
ejpam-6624	505	2	solution	solution	NOUN
ejpam-6624	505	3	of	of	ADP
ejpam-6624	505	4	nonhomogeneous	nonhomogeneous	ADJ
ejpam-6624	505	5	fractional	fractional	ADJ
ejpam-6624	505	6	differential	differential	NOUN
ejpam-6624	505	7	system	system	NOUN
ejpam-6624	505	8	containing	contain	VERB
ejpam-6624	505	9	2n	2n	NUM
ejpam-6624	505	10	periodic	periodic	ADJ
ejpam-6624	505	11	terms	term	NOUN
ejpam-6624	505	12	under	under	ADP
ejpam-6624	505	13	physical	physical	ADJ
ejpam-6624	505	14	conditions	condition	NOUN
ejpam-6624	505	15	.	.	PUNCT
ejpam-6624	506	1	mathematics	mathematic	NOUN
ejpam-6624	506	2	,	,	PUNCT
ejpam-6624	506	3	11(15):3308	11(15):3308	NUM
ejpam-6624	506	4	,	,	PUNCT
ejpam-6624	506	5	2023	2023	NUM
ejpam-6624	506	6	.	.	PUNCT
ejpam-6624	507	1	[	[	X
ejpam-6624	507	2	25	25	NUM
ejpam-6624	507	3	]	]	PUNCT
ejpam-6624	507	4	o	o	NOUN
ejpam-6624	507	5	guner	guner	NOUN
ejpam-6624	507	6	and	and	CCONJ
ejpam-6624	507	7	a	a	DET
ejpam-6624	507	8	bekir	bekir	NOUN
ejpam-6624	507	9	.	.	PUNCT
ejpam-6624	508	1	exact	exact	ADJ
ejpam-6624	508	2	solutions	solution	NOUN
ejpam-6624	508	3	to	to	ADP
ejpam-6624	508	4	the	the	DET
ejpam-6624	508	5	time	time	NOUN
ejpam-6624	508	6	-	-	PUNCT
ejpam-6624	508	7	fractional	fractional	ADJ
ejpam-6624	508	8	differential	differential	ADJ
ejpam-6624	508	9	equations	equation	NOUN
ejpam-6624	508	10	via	via	ADP
ejpam-6624	508	11	local	local	ADJ
ejpam-6624	508	12	fractional	fractional	ADJ
ejpam-6624	508	13	derivatives	derivative	NOUN
ejpam-6624	508	14	.	.	PUNCT
ejpam-6624	509	1	waves	wave	NOUN
ejpam-6624	509	2	in	in	ADP
ejpam-6624	509	3	random	random	ADJ
ejpam-6624	509	4	and	and	CCONJ
ejpam-6624	509	5	complex	complex	ADJ
ejpam-6624	509	6	media	medium	NOUN
ejpam-6624	509	7	,	,	PUNCT
ejpam-6624	509	8	28(1):139–149	28(1):139–149	NUM
ejpam-6624	509	9	,	,	PUNCT
ejpam-6624	509	10	2017	2017	NUM
ejpam-6624	509	11	.	.	PUNCT
ejpam-6624	510	1	[	[	X
ejpam-6624	510	2	26	26	NUM
ejpam-6624	510	3	]	]	X
ejpam-6624	510	4	h	h	NOUN
ejpam-6624	510	5	zeng	zeng	PROPN
ejpam-6624	510	6	,	,	PUNCT
ejpam-6624	510	7	y	y	PROPN
ejpam-6624	510	8	wang	wang	PROPN
ejpam-6624	510	9	,	,	PUNCT
ejpam-6624	510	10	m	m	PROPN
ejpam-6624	510	11	xiao	xiao	PROPN
ejpam-6624	510	12	,	,	PUNCT
ejpam-6624	510	13	and	and	CCONJ
ejpam-6624	510	14	y	y	PROPN
ejpam-6624	510	15	wang	wang	PROPN
ejpam-6624	510	16	.	.	PUNCT
ejpam-6624	511	1	fractional	fractional	ADJ
ejpam-6624	511	2	solitons	soliton	NOUN
ejpam-6624	511	3	:	:	PUNCT
ejpam-6624	511	4	new	new	ADJ
ejpam-6624	511	5	phenomena	phenomenon	NOUN
ejpam-6624	511	6	and	and	CCONJ
ejpam-6624	511	7	s.	s.	PROPN
ejpam-6624	511	8	phoosree	phoosree	PROPN
ejpam-6624	511	9	et	et	PROPN
ejpam-6624	511	10	al	al	PROPN
ejpam-6624	511	11	.	.	PUNCT
ejpam-6624	511	12	/	/	SYM
ejpam-6624	511	13	eur	eur	PROPN
ejpam-6624	511	14	.	.	PUNCT
ejpam-6624	512	1	j.	j.	PROPN
ejpam-6624	512	2	pure	pure	PROPN
ejpam-6624	512	3	appl	appl	PROPN
ejpam-6624	512	4	.	.	PROPN
ejpam-6624	512	5	math	math	PROPN
ejpam-6624	512	6	,	,	PUNCT
ejpam-6624	512	7	18	18	NUM
ejpam-6624	512	8	(	(	PUNCT
ejpam-6624	512	9	4	4	NUM
ejpam-6624	512	10	)	)	PUNCT
ejpam-6624	512	11	(	(	PUNCT
ejpam-6624	512	12	2025	2025	NUM
ejpam-6624	512	13	)	)	PUNCT
ejpam-6624	512	14	,	,	PUNCT
ejpam-6624	512	15	6624	6624	NUM
ejpam-6624	512	16	24	24	NUM
ejpam-6624	512	17	of	of	ADP
ejpam-6624	512	18	24	24	NUM
ejpam-6624	512	19	exact	exact	ADJ
ejpam-6624	512	20	solutions	solution	NOUN
ejpam-6624	512	21	.	.	PUNCT
ejpam-6624	513	1	frontiers	frontier	NOUN
ejpam-6624	513	2	in	in	ADP
ejpam-6624	513	3	physics	physics	PROPN
ejpam-6624	513	4	,	,	PUNCT
ejpam-6624	513	5	11:1177335	11:1177335	NUM
ejpam-6624	513	6	,	,	PUNCT
ejpam-6624	513	7	2023	2023	NUM
ejpam-6624	513	8	.	.	PUNCT
ejpam-6624	514	1	[	[	X
ejpam-6624	514	2	27	27	NUM
ejpam-6624	514	3	]	]	SYM
ejpam-6624	514	4	l	l	PROPN
ejpam-6624	514	5	kaur	kaur	PROPN
ejpam-6624	514	6	and	and	CCONJ
ejpam-6624	514	7	kuldeep	kuldeep	PROPN
ejpam-6624	514	8	.	.	PUNCT
ejpam-6624	515	1	exact	exact	ADJ
ejpam-6624	515	2	solutions	solution	NOUN
ejpam-6624	515	3	of	of	ADP
ejpam-6624	515	4	(	(	PUNCT
ejpam-6624	515	5	2	2	NUM
ejpam-6624	515	6	+	+	NOUN
ejpam-6624	515	7	1	1	NUM
ejpam-6624	515	8	)	)	PUNCT
ejpam-6624	515	9	dimensional	dimensional	ADJ
ejpam-6624	515	10	cubic	cubic	PROPN
ejpam-6624	515	11	klein	klein	PROPN
ejpam-6624	515	12	-	-	PUNCT
ejpam-6624	515	13	gordon	gordon	PROPN
ejpam-6624	515	14	(	(	PUNCT
ejpam-6624	515	15	ckg	ckg	NOUN
ejpam-6624	515	16	)	)	PUNCT
ejpam-6624	515	17	equation	equation	NOUN
ejpam-6624	515	18	.	.	PUNCT
ejpam-6624	516	1	international	international	ADJ
ejpam-6624	516	2	journal	journal	PROPN
ejpam-6624	516	3	of	of	ADP
ejpam-6624	516	4	mathematical	mathematical	ADJ
ejpam-6624	516	5	,	,	PUNCT
ejpam-6624	516	6	engineering	engineering	NOUN
ejpam-6624	516	7	and	and	CCONJ
ejpam-6624	516	8	management	management	NOUN
ejpam-6624	516	9	sciences	science	NOUN
ejpam-6624	516	10	,	,	PUNCT
ejpam-6624	516	11	7(5):613–623	7(5):613–623	NUM
ejpam-6624	516	12	,	,	PUNCT
ejpam-6624	516	13	2022	2022	NUM
ejpam-6624	516	14	.	.	PUNCT
ejpam-6624	517	1	[	[	X
ejpam-6624	517	2	28	28	NUM
ejpam-6624	517	3	]	]	X
ejpam-6624	517	4	h	h	NOUN
ejpam-6624	517	5	durur	durur	NOUN
ejpam-6624	517	6	and	and	CCONJ
ejpam-6624	517	7	a	a	DET
ejpam-6624	517	8	yokuş.	yokuş.	ADJ
ejpam-6624	517	9	exact	exact	ADJ
ejpam-6624	517	10	solutions	solution	NOUN
ejpam-6624	517	11	of	of	ADP
ejpam-6624	517	12	(	(	PUNCT
ejpam-6624	517	13	2	2	NUM
ejpam-6624	517	14	+	+	NOUN
ejpam-6624	517	15	1)-ablowitz	1)-ablowitz	NUM
ejpam-6624	517	16	-	-	PUNCT
ejpam-6624	517	17	kaup	kaup	PROPN
ejpam-6624	517	18	-	-	PUNCT
ejpam-6624	517	19	newell	newell	PROPN
ejpam-6624	517	20	-	-	PUNCT
ejpam-6624	517	21	segur	segur	NOUN
ejpam-6624	517	22	equation	equation	NOUN
ejpam-6624	517	23	.	.	PUNCT
ejpam-6624	518	1	applied	apply	VERB
ejpam-6624	518	2	mathematics	mathematic	NOUN
ejpam-6624	518	3	and	and	CCONJ
ejpam-6624	518	4	nonlinear	nonlinear	ADJ
ejpam-6624	518	5	sciences	science	NOUN
ejpam-6624	518	6	,	,	PUNCT
ejpam-6624	518	7	6(2):381–386	6(2):381–386	NUM
ejpam-6624	518	8	,	,	PUNCT
ejpam-6624	518	9	2021	2021	NUM
ejpam-6624	518	10	.	.	PUNCT
ejpam-6624	519	1	[	[	X
ejpam-6624	519	2	29	29	NUM
ejpam-6624	519	3	]	]	X
ejpam-6624	519	4	g	g	PROPN
ejpam-6624	519	5	jumarie	jumarie	PROPN
ejpam-6624	519	6	.	.	PUNCT
ejpam-6624	520	1	modified	modify	VERB
ejpam-6624	520	2	riemann	riemann	PROPN
ejpam-6624	520	3	-	-	PUNCT
ejpam-6624	520	4	liouville	liouville	VERB
ejpam-6624	520	5	derivative	derivative	ADJ
ejpam-6624	520	6	and	and	CCONJ
ejpam-6624	520	7	fractional	fractional	PROPN
ejpam-6624	520	8	taylor	taylor	PROPN
ejpam-6624	520	9	series	series	PROPN
ejpam-6624	520	10	of	of	ADP
ejpam-6624	520	11	nondifferentiable	nondifferentiable	ADJ
ejpam-6624	520	12	functions	function	NOUN
ejpam-6624	520	13	further	further	ADJ
ejpam-6624	520	14	results	result	NOUN
ejpam-6624	520	15	.	.	PUNCT
ejpam-6624	521	1	computers	computer	NOUN
ejpam-6624	521	2	mathematics	mathematic	NOUN
ejpam-6624	521	3	with	with	ADP
ejpam-6624	521	4	applications	application	NOUN
ejpam-6624	521	5	,	,	PUNCT
ejpam-6624	521	6	51(9	51(9	NOUN
ejpam-6624	521	7	-	-	PUNCT
ejpam-6624	521	8	10):1367–1376	10):1367–1376	NOUN
ejpam-6624	521	9	,	,	PUNCT
ejpam-6624	521	10	2006	2006	NUM
ejpam-6624	521	11	.	.	PUNCT
ejpam-6624	522	1	[	[	X
ejpam-6624	522	2	30	30	NUM
ejpam-6624	522	3	]	]	X
ejpam-6624	522	4	g	g	PROPN
ejpam-6624	522	5	jumarie	jumarie	PROPN
ejpam-6624	522	6	.	.	PUNCT
ejpam-6624	523	1	table	table	NOUN
ejpam-6624	523	2	of	of	ADP
ejpam-6624	523	3	some	some	DET
ejpam-6624	523	4	basic	basic	ADJ
ejpam-6624	523	5	fractional	fractional	ADJ
ejpam-6624	523	6	calculus	calculus	NOUN
ejpam-6624	523	7	formulae	formulae	NOUN
ejpam-6624	523	8	derived	derive	VERB
ejpam-6624	523	9	from	from	ADP
ejpam-6624	523	10	a	a	DET
ejpam-6624	523	11	modified	modify	VERB
ejpam-6624	523	12	riemann	riemann	NOUN
ejpam-6624	523	13	–	–	PUNCT
ejpam-6624	523	14	liouville	liouville	VERB
ejpam-6624	523	15	derivative	derivative	NOUN
ejpam-6624	523	16	for	for	ADP
ejpam-6624	523	17	non	non	ADJ
ejpam-6624	523	18	-	-	ADJ
ejpam-6624	523	19	differentiable	differentiable	ADJ
ejpam-6624	523	20	functions	function	NOUN
ejpam-6624	523	21	.	.	PUNCT
ejpam-6624	524	1	applied	apply	VERB
ejpam-6624	524	2	mathematics	mathematics	NOUN
ejpam-6624	524	3	letters	letter	NOUN
ejpam-6624	524	4	,	,	PUNCT
ejpam-6624	524	5	22(3):378–385	22(3):378–385	PROPN
ejpam-6624	524	6	,	,	PUNCT
ejpam-6624	524	7	2009	2009	NUM
ejpam-6624	524	8	.	.	PUNCT
ejpam-6624	525	1	[	[	X
ejpam-6624	525	2	31	31	NUM
ejpam-6624	525	3	]	]	X
ejpam-6624	525	4	k	k	PROPN
ejpam-6624	525	5	m	m	PROPN
ejpam-6624	525	6	abdul	abdul	PROPN
ejpam-6624	525	7	al	al	PROPN
ejpam-6624	525	8	woadud	woadud	PROPN
ejpam-6624	525	9	,	,	PUNCT
ejpam-6624	525	10	m	m	PROPN
ejpam-6624	525	11	j	j	PROPN
ejpam-6624	525	12	islam	islam	PROPN
ejpam-6624	525	13	,	,	PUNCT
ejpam-6624	525	14	d	d	PROPN
ejpam-6624	525	15	kumar	kumar	PROPN
ejpam-6624	525	16	,	,	PUNCT
ejpam-6624	525	17	and	and	CCONJ
ejpam-6624	525	18	a	a	DET
ejpam-6624	525	19	r	r	NOUN
ejpam-6624	525	20	khan	khan	PROPN
ejpam-6624	525	21	.	.	PUNCT
ejpam-6624	526	1	analytical	analytical	ADJ
ejpam-6624	526	2	solutions	solution	NOUN
ejpam-6624	526	3	to	to	ADP
ejpam-6624	526	4	the	the	DET
ejpam-6624	526	5	(	(	PUNCT
ejpam-6624	526	6	2	2	NUM
ejpam-6624	526	7	+	+	NOUN
ejpam-6624	526	8	1)-dimensional	1)-dimensional	PROPN
ejpam-6624	526	9	cubic	cubic	PROPN
ejpam-6624	526	10	klein	klein	PROPN
ejpam-6624	526	11	–	–	PUNCT
ejpam-6624	526	12	gordon	gordon	PROPN
ejpam-6624	526	13	equation	equation	NOUN
ejpam-6624	526	14	in	in	ADP
ejpam-6624	526	15	the	the	DET
ejpam-6624	526	16	presence	presence	NOUN
ejpam-6624	526	17	of	of	ADP
ejpam-6624	526	18	fractional	fractional	ADJ
ejpam-6624	526	19	derivatives	derivative	NOUN
ejpam-6624	526	20	:	:	PUNCT
ejpam-6624	526	21	a	a	DET
ejpam-6624	526	22	comparative	comparative	ADJ
ejpam-6624	526	23	study	study	NOUN
ejpam-6624	526	24	.	.	PUNCT
ejpam-6624	527	1	partial	partial	ADJ
ejpam-6624	527	2	differential	differential	ADJ
ejpam-6624	527	3	equations	equation	NOUN
ejpam-6624	527	4	in	in	ADP
ejpam-6624	527	5	applied	applied	ADJ
ejpam-6624	527	6	mathematics	mathematic	NOUN
ejpam-6624	527	7	,	,	PUNCT
ejpam-6624	527	8	12:101001	12:101001	NUM
ejpam-6624	527	9	,	,	PUNCT
ejpam-6624	527	10	2024	2024	NUM
ejpam-6624	527	11	.	.	PUNCT