id	sid	tid	token	lemma	pos
ejpam-5987	1	1	european	european	PROPN
ejpam-5987	1	2	journal	journal	PROPN
ejpam-5987	1	3	of	of	ADP
ejpam-5987	1	4	pure	pure	ADJ
ejpam-5987	1	5	and	and	CCONJ
ejpam-5987	1	6	applied	applied	ADJ
ejpam-5987	1	7	mathematics	mathematic	NOUN
ejpam-5987	1	8	2025	2025	NUM
ejpam-5987	1	9	,	,	PUNCT
ejpam-5987	1	10	vol	vol	NOUN
ejpam-5987	1	11	.	.	PROPN
ejpam-5987	1	12	18	18	NUM
ejpam-5987	1	13	,	,	PUNCT
ejpam-5987	1	14	issue	issue	NOUN
ejpam-5987	1	15	2	2	NUM
ejpam-5987	1	16	,	,	PUNCT
ejpam-5987	1	17	article	article	NOUN
ejpam-5987	1	18	number	number	NOUN
ejpam-5987	1	19	5987	5987	NUM
ejpam-5987	1	20	issn	issn	VERB
ejpam-5987	1	21	1307	1307	NUM
ejpam-5987	1	22	-	-	SYM
ejpam-5987	1	23	5543	5543	NUM
ejpam-5987	1	24	–	–	PUNCT
ejpam-5987	1	25	ejpam.com	ejpam.com	X
ejpam-5987	1	26	published	publish	VERB
ejpam-5987	1	27	by	by	ADP
ejpam-5987	1	28	new	new	PROPN
ejpam-5987	1	29	york	york	PROPN
ejpam-5987	1	30	business	business	PROPN
ejpam-5987	1	31	global	global	ADJ
ejpam-5987	1	32	abundant	abundant	ADJ
ejpam-5987	1	33	explicit	explicit	ADJ
ejpam-5987	1	34	non	non	ADJ
ejpam-5987	1	35	-	-	ADJ
ejpam-5987	1	36	traveling	traveling	ADJ
ejpam-5987	1	37	wave	wave	NOUN
ejpam-5987	1	38	solutions	solution	NOUN
ejpam-5987	1	39	to	to	ADP
ejpam-5987	1	40	the	the	PRON
ejpam-5987	1	41	(	(	PUNCT
ejpam-5987	1	42	3	3	NUM
ejpam-5987	1	43	+	+	SYM
ejpam-5987	1	44	1)-dimensional	1)-dimensional	NUM
ejpam-5987	1	45	nonlinear	nonlinear	ADJ
ejpam-5987	1	46	evolution	evolution	NOUN
ejpam-5987	1	47	equation	equation	NOUN
ejpam-5987	1	48	using	use	VERB
ejpam-5987	1	49	a	a	DET
ejpam-5987	1	50	generalized	generalized	ADJ
ejpam-5987	1	51	variable	variable	ADJ
ejpam-5987	1	52	separation	separation	NOUN
ejpam-5987	1	53	method	method	NOUN
ejpam-5987	1	54	shami	shami	PROPN
ejpam-5987	1	55	a.	a.	PROPN
ejpam-5987	1	56	m.	m.	PROPN
ejpam-5987	1	57	alsallami1,∗	alsallami1,∗	NOUN
ejpam-5987	1	58	,	,	PUNCT
ejpam-5987	1	59	mohammed	mohammed	PROPN
ejpam-5987	1	60	alkinidri2	alkinidri2	PROPN
ejpam-5987	1	61	1	1	NUM
ejpam-5987	1	62	mathematics	mathematics	PROPN
ejpam-5987	1	63	department	department	NOUN
ejpam-5987	1	64	,	,	PUNCT
ejpam-5987	1	65	college	college	NOUN
ejpam-5987	1	66	of	of	ADP
ejpam-5987	1	67	sciences	sciences	PROPN
ejpam-5987	1	68	,	,	PUNCT
ejpam-5987	1	69	umm	umm	INTJ
ejpam-5987	1	70	al	al	PROPN
ejpam-5987	1	71	-	-	PUNCT
ejpam-5987	1	72	qura	qura	PROPN
ejpam-5987	1	73	university	university	PROPN
ejpam-5987	1	74	,	,	PUNCT
ejpam-5987	1	75	makkah	makkah	PROPN
ejpam-5987	1	76	24381	24381	NUM
ejpam-5987	1	77	,	,	PUNCT
ejpam-5987	1	78	saudiarabia	saudiarabia	NOUN
ejpam-5987	1	79	2	2	NUM
ejpam-5987	1	80	king	king	NOUN
ejpam-5987	1	81	abdulaziz	abdulaziz	PROPN
ejpam-5987	1	82	university	university	PROPN
ejpam-5987	1	83	,	,	PUNCT
ejpam-5987	1	84	college	college	NOUN
ejpam-5987	1	85	of	of	ADP
ejpam-5987	1	86	science	science	PROPN
ejpam-5987	1	87	&	&	CCONJ
ejpam-5987	1	88	arts	arts	PROPN
ejpam-5987	1	89	,	,	PUNCT
ejpam-5987	1	90	department	department	NOUN
ejpam-5987	1	91	of	of	ADP
ejpam-5987	1	92	mathematics	mathematic	NOUN
ejpam-5987	1	93	,	,	PUNCT
ejpam-5987	1	94	rabigh	rabigh	VERB
ejpam-5987	1	95	,	,	PUNCT
ejpam-5987	1	96	saudi	saudi	PROPN
ejpam-5987	1	97	arabia	arabia	PROPN
ejpam-5987	1	98	abstract	abstract	NOUN
ejpam-5987	1	99	.	.	PUNCT
ejpam-5987	2	1	non	non	ADJ
ejpam-5987	2	2	-	-	ADJ
ejpam-5987	2	3	traveling	traveling	ADJ
ejpam-5987	2	4	wave	wave	NOUN
ejpam-5987	2	5	solutions	solution	NOUN
ejpam-5987	2	6	allow	allow	VERB
ejpam-5987	2	7	us	we	PRON
ejpam-5987	2	8	to	to	PART
ejpam-5987	2	9	characterize	characterize	VERB
ejpam-5987	2	10	more	more	ADJ
ejpam-5987	2	11	complex	complex	ADJ
ejpam-5987	2	12	natural	natural	ADJ
ejpam-5987	2	13	phenomena	phenomenon	NOUN
ejpam-5987	2	14	across	across	ADP
ejpam-5987	2	15	various	various	ADJ
ejpam-5987	2	16	scientific	scientific	ADJ
ejpam-5987	2	17	fields	field	NOUN
ejpam-5987	2	18	,	,	PUNCT
ejpam-5987	2	19	which	which	PRON
ejpam-5987	2	20	may	may	AUX
ejpam-5987	2	21	not	not	PART
ejpam-5987	2	22	be	be	AUX
ejpam-5987	2	23	easily	easily	ADV
ejpam-5987	2	24	analyzed	analyze	VERB
ejpam-5987	2	25	using	use	VERB
ejpam-5987	2	26	soliton	soliton	NOUN
ejpam-5987	2	27	solutions	solution	NOUN
ejpam-5987	2	28	.	.	PUNCT
ejpam-5987	3	1	this	this	DET
ejpam-5987	3	2	study	study	NOUN
ejpam-5987	3	3	introduces	introduce	VERB
ejpam-5987	3	4	a	a	DET
ejpam-5987	3	5	novel	novel	ADJ
ejpam-5987	3	6	approach	approach	NOUN
ejpam-5987	3	7	for	for	ADP
ejpam-5987	3	8	deriving	derive	VERB
ejpam-5987	3	9	a	a	DET
ejpam-5987	3	10	wide	wide	ADJ
ejpam-5987	3	11	variety	variety	NOUN
ejpam-5987	3	12	of	of	ADP
ejpam-5987	3	13	explicit	explicit	ADJ
ejpam-5987	3	14	non	non	ADJ
ejpam-5987	3	15	-	-	ADJ
ejpam-5987	3	16	traveling	traveling	ADJ
ejpam-5987	3	17	wave	wave	NOUN
ejpam-5987	3	18	solutions	solution	NOUN
ejpam-5987	3	19	to	to	ADP
ejpam-5987	3	20	the	the	DET
ejpam-5987	3	21	(	(	PUNCT
ejpam-5987	3	22	3	3	NUM
ejpam-5987	3	23	+	+	SYM
ejpam-5987	3	24	1)-dimensional	1)-dimensional	NUM
ejpam-5987	3	25	nonlinear	nonlinear	ADJ
ejpam-5987	3	26	evolution	evolution	NOUN
ejpam-5987	3	27	equation	equation	NOUN
ejpam-5987	3	28	,	,	PUNCT
ejpam-5987	3	29	utilizing	utilize	VERB
ejpam-5987	3	30	a	a	DET
ejpam-5987	3	31	modified	modified	ADJ
ejpam-5987	3	32	generalized	generalized	ADJ
ejpam-5987	3	33	variable	variable	ADJ
ejpam-5987	3	34	separation	separation	NOUN
ejpam-5987	3	35	technique	technique	NOUN
ejpam-5987	3	36	.	.	PUNCT
ejpam-5987	4	1	the	the	DET
ejpam-5987	4	2	newly	newly	ADV
ejpam-5987	4	3	obtained	obtain	VERB
ejpam-5987	4	4	solutions	solution	NOUN
ejpam-5987	4	5	encompass	encompass	VERB
ejpam-5987	4	6	different	different	ADJ
ejpam-5987	4	7	non	non	ADJ
ejpam-5987	4	8	-	-	ADJ
ejpam-5987	4	9	traveling	traveling	ADJ
ejpam-5987	4	10	forms	form	NOUN
ejpam-5987	4	11	,	,	PUNCT
ejpam-5987	4	12	including	include	VERB
ejpam-5987	4	13	periodic	periodic	ADJ
ejpam-5987	4	14	solitary	solitary	ADJ
ejpam-5987	4	15	waves	wave	NOUN
ejpam-5987	4	16	and	and	CCONJ
ejpam-5987	4	17	soliton	soliton	NOUN
ejpam-5987	4	18	-	-	PUNCT
ejpam-5987	4	19	like	like	ADJ
ejpam-5987	4	20	structures	structure	NOUN
ejpam-5987	4	21	.	.	PUNCT
ejpam-5987	5	1	these	these	DET
ejpam-5987	5	2	results	result	NOUN
ejpam-5987	5	3	underscore	underscore	VERB
ejpam-5987	5	4	the	the	DET
ejpam-5987	5	5	efficacy	efficacy	NOUN
ejpam-5987	5	6	of	of	ADP
ejpam-5987	5	7	the	the	DET
ejpam-5987	5	8	method	method	NOUN
ejpam-5987	5	9	in	in	ADP
ejpam-5987	5	10	tackling	tackle	VERB
ejpam-5987	5	11	complex	complex	ADJ
ejpam-5987	5	12	nonlinear	nonlinear	ADJ
ejpam-5987	5	13	partial	partial	ADJ
ejpam-5987	5	14	differential	differential	NOUN
ejpam-5987	5	15	equations	equation	NOUN
ejpam-5987	5	16	.	.	PUNCT
ejpam-5987	6	1	the	the	DET
ejpam-5987	6	2	findings	finding	NOUN
ejpam-5987	6	3	presented	present	VERB
ejpam-5987	6	4	in	in	ADP
ejpam-5987	6	5	this	this	DET
ejpam-5987	6	6	article	article	NOUN
ejpam-5987	6	7	constitute	constitute	VERB
ejpam-5987	6	8	innovative	innovative	ADJ
ejpam-5987	6	9	contributions	contribution	NOUN
ejpam-5987	6	10	to	to	ADP
ejpam-5987	6	11	the	the	DET
ejpam-5987	6	12	equation	equation	NOUN
ejpam-5987	6	13	modeling	model	VERB
ejpam-5987	6	14	the	the	DET
ejpam-5987	6	15	velocity	velocity	NOUN
ejpam-5987	6	16	of	of	ADP
ejpam-5987	6	17	water	water	NOUN
ejpam-5987	6	18	waves	wave	NOUN
ejpam-5987	6	19	on	on	ADP
ejpam-5987	6	20	the	the	DET
ejpam-5987	6	21	surface	surface	NOUN
ejpam-5987	6	22	of	of	ADP
ejpam-5987	6	23	shallow	shallow	ADJ
ejpam-5987	6	24	water	water	NOUN
ejpam-5987	6	25	.	.	PUNCT
ejpam-5987	7	1	furthermore	furthermore	ADV
ejpam-5987	7	2	,	,	PUNCT
ejpam-5987	7	3	our	our	PRON
ejpam-5987	7	4	employed	employ	VERB
ejpam-5987	7	5	technique	technique	NOUN
ejpam-5987	7	6	can	can	AUX
ejpam-5987	7	7	also	also	ADV
ejpam-5987	7	8	provide	provide	VERB
ejpam-5987	7	9	a	a	DET
ejpam-5987	7	10	foundation	foundation	NOUN
ejpam-5987	7	11	for	for	ADP
ejpam-5987	7	12	investigating	investigate	VERB
ejpam-5987	7	13	the	the	DET
ejpam-5987	7	14	stability	stability	NOUN
ejpam-5987	7	15	,	,	PUNCT
ejpam-5987	7	16	dynamics	dynamic	NOUN
ejpam-5987	7	17	,	,	PUNCT
ejpam-5987	7	18	and	and	CCONJ
ejpam-5987	7	19	practical	practical	ADJ
ejpam-5987	7	20	applications	application	NOUN
ejpam-5987	7	21	of	of	ADP
ejpam-5987	7	22	solutions	solution	NOUN
ejpam-5987	7	23	to	to	ADP
ejpam-5987	7	24	other	other	ADJ
ejpam-5987	7	25	similar	similar	ADJ
ejpam-5987	7	26	problems	problem	NOUN
ejpam-5987	7	27	.	.	PUNCT
ejpam-5987	8	1	2020	2020	NUM
ejpam-5987	8	2	mathematics	mathematic	NOUN
ejpam-5987	8	3	subject	subject	NOUN
ejpam-5987	8	4	classifications	classification	NOUN
ejpam-5987	8	5	:	:	PUNCT
ejpam-5987	8	6	35q51	35q51	NUM
ejpam-5987	8	7	,	,	PUNCT
ejpam-5987	8	8	35c05	35c05	NUM
ejpam-5987	8	9	,	,	PUNCT
ejpam-5987	8	10	37k40	37k40	PRON
ejpam-5987	8	11	key	key	ADJ
ejpam-5987	8	12	words	word	NOUN
ejpam-5987	8	13	and	and	CCONJ
ejpam-5987	8	14	phrases	phrase	NOUN
ejpam-5987	8	15	:	:	PUNCT
ejpam-5987	8	16	non	non	ADJ
ejpam-5987	8	17	-	-	ADJ
ejpam-5987	8	18	traveling	traveling	ADJ
ejpam-5987	8	19	wave	wave	NOUN
ejpam-5987	8	20	solutions	solution	NOUN
ejpam-5987	8	21	,	,	PUNCT
ejpam-5987	8	22	generalized	generalize	VERB
ejpam-5987	8	23	variable	variable	ADJ
ejpam-5987	8	24	separation	separation	NOUN
ejpam-5987	8	25	technique	technique	NOUN
ejpam-5987	8	26	,	,	PUNCT
ejpam-5987	8	27	evolution	evolution	NOUN
ejpam-5987	8	28	equation	equation	NOUN
ejpam-5987	8	29	,	,	PUNCT
ejpam-5987	8	30	wave	wave	NOUN
ejpam-5987	8	31	solutions	solution	NOUN
ejpam-5987	8	32	,	,	PUNCT
ejpam-5987	8	33	symbolic	symbolic	ADJ
ejpam-5987	8	34	computation	computation	NOUN
ejpam-5987	8	35	1	1	NUM
ejpam-5987	8	36	.	.	PUNCT
ejpam-5987	9	1	introduction	introduction	NOUN
ejpam-5987	9	2	nonlinear	nonlinear	ADJ
ejpam-5987	9	3	partial	partial	ADJ
ejpam-5987	9	4	differential	differential	NOUN
ejpam-5987	9	5	equations	equation	NOUN
ejpam-5987	9	6	are	be	AUX
ejpam-5987	9	7	essential	essential	ADJ
ejpam-5987	9	8	in	in	ADP
ejpam-5987	9	9	modern	modern	ADJ
ejpam-5987	9	10	mathematics	mathematic	NOUN
ejpam-5987	9	11	,	,	PUNCT
ejpam-5987	9	12	greatly	greatly	ADV
ejpam-5987	9	13	enhancing	enhance	VERB
ejpam-5987	9	14	our	our	PRON
ejpam-5987	9	15	comprehension	comprehension	NOUN
ejpam-5987	9	16	of	of	ADP
ejpam-5987	9	17	intricate	intricate	ADJ
ejpam-5987	9	18	natural	natural	ADJ
ejpam-5987	9	19	phenomena	phenomenon	NOUN
ejpam-5987	10	1	[	[	X
ejpam-5987	10	2	1–11	1–11	X
ejpam-5987	10	3	]	]	PUNCT
ejpam-5987	10	4	.	.	PUNCT
ejpam-5987	11	1	recently	recently	ADV
ejpam-5987	11	2	,	,	PUNCT
ejpam-5987	11	3	there	there	PRON
ejpam-5987	11	4	has	have	AUX
ejpam-5987	11	5	been	be	AUX
ejpam-5987	11	6	a	a	DET
ejpam-5987	11	7	growing	grow	VERB
ejpam-5987	11	8	focus	focus	NOUN
ejpam-5987	11	9	on	on	ADP
ejpam-5987	11	10	developing	develop	VERB
ejpam-5987	11	11	efficient	efficient	ADJ
ejpam-5987	11	12	methods	method	NOUN
ejpam-5987	11	13	to	to	PART
ejpam-5987	11	14	obtain	obtain	VERB
ejpam-5987	11	15	analytical	analytical	ADJ
ejpam-5987	11	16	and	and	CCONJ
ejpam-5987	11	17	approximate	approximate	ADJ
ejpam-5987	11	18	solutions	solution	NOUN
ejpam-5987	11	19	for	for	ADP
ejpam-5987	11	20	this	this	DET
ejpam-5987	11	21	specific	specific	ADJ
ejpam-5987	11	22	class	class	NOUN
ejpam-5987	11	23	of	of	ADP
ejpam-5987	11	24	differential	differential	ADJ
ejpam-5987	11	25	equations[12–22	equations[12–22	PROPN
ejpam-5987	11	26	]	]	PUNCT
ejpam-5987	11	27	.	.	PUNCT
ejpam-5987	12	1	in	in	ADP
ejpam-5987	12	2	recent	recent	ADJ
ejpam-5987	12	3	years	year	NOUN
ejpam-5987	12	4	,	,	PUNCT
ejpam-5987	12	5	numerous	numerous	ADJ
ejpam-5987	12	6	researchers	researcher	NOUN
ejpam-5987	12	7	have	have	AUX
ejpam-5987	12	8	shown	show	VERB
ejpam-5987	12	9	keen	keen	ADJ
ejpam-5987	12	10	interest	interest	NOUN
ejpam-5987	12	11	in	in	ADP
ejpam-5987	12	12	advancing	advance	VERB
ejpam-5987	12	13	methods	method	NOUN
ejpam-5987	12	14	for	for	ADP
ejpam-5987	12	15	obtaining	obtain	VERB
ejpam-5987	12	16	exact	exact	ADJ
ejpam-5987	12	17	wave	wave	NOUN
ejpam-5987	12	18	solutions	solution	NOUN
ejpam-5987	12	19	of	of	ADP
ejpam-5987	12	20	the	the	DET
ejpam-5987	12	21	nonlinear	nonlinear	ADJ
ejpam-5987	12	22	models	model	NOUN
ejpam-5987	12	23	[	[	X
ejpam-5987	12	24	23–28	23–28	NUM
ejpam-5987	12	25	]	]	PUNCT
ejpam-5987	12	26	.	.	PUNCT
ejpam-5987	13	1	∗corresponding	∗corresponde	VERB
ejpam-5987	13	2	author	author	NOUN
ejpam-5987	13	3	.	.	PUNCT
ejpam-5987	14	1	doi	doi	NOUN
ejpam-5987	14	2	:	:	PUNCT
ejpam-5987	14	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5987	https://doi.org/10.29020/nybg.ejpam.v18i2.5987	ADP
ejpam-5987	14	4	email	email	NOUN
ejpam-5987	14	5	addresses	address	NOUN
ejpam-5987	14	6	:	:	PUNCT
ejpam-5987	14	7	sasallami@uqu.edu.sa	sasallami@uqu.edu.sa	PROPN
ejpam-5987	14	8	(	(	PUNCT
ejpam-5987	14	9	s.	s.	PROPN
ejpam-5987	14	10	a.	a.	PROPN
ejpam-5987	14	11	m.	m.	PROPN
ejpam-5987	14	12	alsallami	alsallami	PROPN
ejpam-5987	14	13	)	)	PUNCT
ejpam-5987	15	1	mohammed.alkinidri@hotmail.com	mohammed.alkinidri@hotmail.com	X
ejpam-5987	15	2	(	(	PUNCT
ejpam-5987	15	3	m.	m.	NOUN
ejpam-5987	15	4	alkinidri	alkinidri	PROPN
ejpam-5987	15	5	)	)	PUNCT
ejpam-5987	15	6	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5987	16	1	1	1	NUM
ejpam-5987	16	2	copyright	copyright	NOUN
ejpam-5987	16	3	:	:	PUNCT
ejpam-5987	16	4	©	©	PROPN
ejpam-5987	16	5	2025	2025	NUM
ejpam-5987	16	6	the	the	DET
ejpam-5987	16	7	author(s	author(s	NOUN
ejpam-5987	16	8	)	)	PUNCT
ejpam-5987	16	9	.	.	PUNCT
ejpam-5987	17	1	(	(	PUNCT
ejpam-5987	17	2	cc	cc	NOUN
ejpam-5987	17	3	by	by	ADP
ejpam-5987	17	4	-	-	PUNCT
ejpam-5987	17	5	nc	nc	PROPN
ejpam-5987	17	6	4.0	4.0	NUM
ejpam-5987	17	7	)	)	PUNCT
ejpam-5987	17	8	s.	s.	PROPN
ejpam-5987	17	9	a.	a.	PROPN
ejpam-5987	17	10	m.	m.	PROPN
ejpam-5987	17	11	alsallami	alsallami	PROPN
ejpam-5987	17	12	,	,	PUNCT
ejpam-5987	17	13	m.	m.	NOUN
ejpam-5987	17	14	alkinidri	alkinidri	PROPN
ejpam-5987	17	15	/	/	SYM
ejpam-5987	17	16	eur	eur	PROPN
ejpam-5987	17	17	.	.	PUNCT
ejpam-5987	18	1	j.	j.	PROPN
ejpam-5987	18	2	pure	pure	PROPN
ejpam-5987	18	3	appl	appl	PROPN
ejpam-5987	18	4	.	.	PROPN
ejpam-5987	18	5	math	math	PROPN
ejpam-5987	18	6	,	,	PUNCT
ejpam-5987	18	7	18	18	NUM
ejpam-5987	18	8	(	(	PUNCT
ejpam-5987	18	9	2	2	NUM
ejpam-5987	18	10	)	)	PUNCT
ejpam-5987	18	11	(	(	PUNCT
ejpam-5987	18	12	2025	2025	NUM
ejpam-5987	18	13	)	)	PUNCT
ejpam-5987	18	14	,	,	PUNCT
ejpam-5987	18	15	5987	5987	NUM
ejpam-5987	18	16	2	2	NUM
ejpam-5987	18	17	of	of	ADP
ejpam-5987	18	18	22	22	NUM
ejpam-5987	18	19	in	in	ADP
ejpam-5987	18	20	this	this	DET
ejpam-5987	18	21	paper	paper	NOUN
ejpam-5987	18	22	,	,	PUNCT
ejpam-5987	18	23	we	we	PRON
ejpam-5987	18	24	study	study	VERB
ejpam-5987	18	25	a	a	DET
ejpam-5987	18	26	nonlinear	nonlinear	NOUN
ejpam-5987	18	27	(	(	PUNCT
ejpam-5987	18	28	3	3	NUM
ejpam-5987	18	29	+	+	NOUN
ejpam-5987	18	30	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	18	31	evolution	evolution	NOUN
ejpam-5987	18	32	equation	equation	NOUN
ejpam-5987	18	33	[	[	X
ejpam-5987	18	34	29	29	NUM
ejpam-5987	18	35	]	]	PUNCT
ejpam-5987	18	36	3uxxz	3uxxz	NUM
ejpam-5987	19	1	+	+	CCONJ
ejpam-5987	19	2	(	(	PUNCT
ejpam-5987	19	3	2uxt	2uxt	NUM
ejpam-5987	19	4	+	+	CCONJ
ejpam-5987	19	5	uxxxx	uxxxx	ADJ
ejpam-5987	19	6	−	−	PROPN
ejpam-5987	19	7	2uxuxx)y	2uxuxx)y	NUM
ejpam-5987	20	1	+	+	CCONJ
ejpam-5987	20	2	2	2	NUM
ejpam-5987	20	3	(	(	PUNCT
ejpam-5987	20	4	uxxuy)x	uxxuy)x	NOUN
ejpam-5987	20	5	=	=	SYM
ejpam-5987	20	6	0	0	NUM
ejpam-5987	20	7	,	,	PUNCT
ejpam-5987	20	8	(	(	PUNCT
ejpam-5987	20	9	1	1	X
ejpam-5987	20	10	)	)	PUNCT
ejpam-5987	20	11	where	where	SCONJ
ejpam-5987	20	12	u	u	NOUN
ejpam-5987	20	13	=	=	SYM
ejpam-5987	20	14	u(x	u(x	PROPN
ejpam-5987	20	15	,	,	PUNCT
ejpam-5987	20	16	y	y	PROPN
ejpam-5987	20	17	,	,	PUNCT
ejpam-5987	20	18	z	z	PROPN
ejpam-5987	20	19	,	,	PUNCT
ejpam-5987	20	20	t	t	PROPN
ejpam-5987	20	21	)	)	PUNCT
ejpam-5987	20	22	.	.	PUNCT
ejpam-5987	21	1	this	this	DET
ejpam-5987	21	2	equation	equation	NOUN
ejpam-5987	21	3	models	model	VERB
ejpam-5987	21	4	the	the	DET
ejpam-5987	21	5	velocity	velocity	NOUN
ejpam-5987	21	6	of	of	ADP
ejpam-5987	21	7	water	water	NOUN
ejpam-5987	21	8	waves	wave	NOUN
ejpam-5987	21	9	on	on	ADP
ejpam-5987	21	10	the	the	DET
ejpam-5987	21	11	surface	surface	NOUN
ejpam-5987	21	12	of	of	ADP
ejpam-5987	21	13	shallow	shallow	ADJ
ejpam-5987	21	14	water	water	NOUN
ejpam-5987	21	15	.	.	PUNCT
ejpam-5987	22	1	the	the	DET
ejpam-5987	22	2	(	(	PUNCT
ejpam-5987	22	3	2	2	NUM
ejpam-5987	22	4	+	+	NOUN
ejpam-5987	22	5	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	22	6	version	version	NOUN
ejpam-5987	22	7	of	of	ADP
ejpam-5987	22	8	the	the	DET
ejpam-5987	22	9	model	model	NOUN
ejpam-5987	22	10	was	be	AUX
ejpam-5987	22	11	proposed	propose	VERB
ejpam-5987	22	12	by	by	ADP
ejpam-5987	22	13	geng	geng	PROPN
ejpam-5987	22	14	to	to	PART
ejpam-5987	22	15	describe	describe	VERB
ejpam-5987	22	16	the	the	DET
ejpam-5987	22	17	(	(	PUNCT
ejpam-5987	22	18	2	2	NUM
ejpam-5987	22	19	+	+	NOUN
ejpam-5987	22	20	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	22	21	interaction	interaction	NOUN
ejpam-5987	22	22	between	between	ADP
ejpam-5987	22	23	a	a	DET
ejpam-5987	22	24	riemann	riemann	PROPN
ejpam-5987	22	25	wave	wave	NOUN
ejpam-5987	22	26	traveling	travel	VERB
ejpam-5987	22	27	along	along	ADP
ejpam-5987	22	28	the	the	DET
ejpam-5987	22	29	y	y	NOUN
ejpam-5987	22	30	-	-	PUNCT
ejpam-5987	22	31	axis	axis	NOUN
ejpam-5987	22	32	and	and	CCONJ
ejpam-5987	22	33	a	a	DET
ejpam-5987	22	34	long	long	ADJ
ejpam-5987	22	35	wave	wave	NOUN
ejpam-5987	22	36	along	along	ADP
ejpam-5987	22	37	the	the	DET
ejpam-5987	22	38	x	x	NOUN
ejpam-5987	22	39	-	-	NOUN
ejpam-5987	22	40	axis	axis	ADJ
ejpam-5987	22	41	.	.	PUNCT
ejpam-5987	23	1	in	in	ADP
ejpam-5987	23	2	his	his	PRON
ejpam-5987	23	3	work	work	NOUN
ejpam-5987	23	4	,	,	PUNCT
ejpam-5987	23	5	the	the	DET
ejpam-5987	23	6	algebraic	algebraic	ADJ
ejpam-5987	23	7	-	-	PUNCT
ejpam-5987	23	8	geometrical	geometrical	ADJ
ejpam-5987	23	9	solutions	solution	NOUN
ejpam-5987	23	10	of	of	ADP
ejpam-5987	23	11	the	the	DET
ejpam-5987	23	12	model	model	NOUN
ejpam-5987	23	13	were	be	AUX
ejpam-5987	23	14	explicitly	explicitly	ADV
ejpam-5987	23	15	expressed	express	VERB
ejpam-5987	23	16	in	in	ADP
ejpam-5987	23	17	terms	term	NOUN
ejpam-5987	23	18	of	of	ADP
ejpam-5987	23	19	the	the	DET
ejpam-5987	23	20	riemann	riemann	PROPN
ejpam-5987	23	21	theta	theta	PROPN
ejpam-5987	23	22	functions	function	NOUN
ejpam-5987	23	23	[	[	X
ejpam-5987	23	24	29	29	NUM
ejpam-5987	23	25	]	]	PUNCT
ejpam-5987	23	26	.	.	PUNCT
ejpam-5987	24	1	wazwaz	wazwaz	PROPN
ejpam-5987	24	2	also	also	ADV
ejpam-5987	24	3	successfully	successfully	ADV
ejpam-5987	24	4	derived	derive	VERB
ejpam-5987	24	5	the	the	DET
ejpam-5987	24	6	dispersive	dispersive	ADJ
ejpam-5987	24	7	relations	relation	NOUN
ejpam-5987	24	8	and	and	CCONJ
ejpam-5987	24	9	phase	phase	NOUN
ejpam-5987	24	10	shifts	shift	NOUN
ejpam-5987	24	11	for	for	ADP
ejpam-5987	24	12	the	the	DET
ejpam-5987	24	13	model	model	NOUN
ejpam-5987	24	14	,	,	PUNCT
ejpam-5987	24	15	as	as	ADV
ejpam-5987	24	16	well	well	ADV
ejpam-5987	24	17	as	as	ADP
ejpam-5987	24	18	identified	identify	VERB
ejpam-5987	24	19	multiple	multiple	ADJ
ejpam-5987	24	20	soliton	soliton	NOUN
ejpam-5987	24	21	solutions	solution	NOUN
ejpam-5987	24	22	for	for	ADP
ejpam-5987	24	23	each	each	DET
ejpam-5987	24	24	equation	equation	NOUN
ejpam-5987	24	25	[	[	X
ejpam-5987	24	26	30	30	NUM
ejpam-5987	24	27	]	]	PUNCT
ejpam-5987	24	28	.	.	PUNCT
ejpam-5987	25	1	additionally	additionally	ADV
ejpam-5987	25	2	,	,	PUNCT
ejpam-5987	25	3	some	some	DET
ejpam-5987	25	4	kink	kink	NOUN
ejpam-5987	25	5	breather	breather	NOUN
ejpam-5987	25	6	soliton	soliton	NOUN
ejpam-5987	25	7	and	and	CCONJ
ejpam-5987	25	8	multi	multi	ADJ
ejpam-5987	25	9	-	-	ADJ
ejpam-5987	25	10	soliton	soliton	ADJ
ejpam-5987	25	11	solutions	solution	NOUN
ejpam-5987	25	12	to	to	ADP
ejpam-5987	25	13	the	the	DET
ejpam-5987	25	14	model	model	NOUN
ejpam-5987	25	15	have	have	AUX
ejpam-5987	25	16	been	be	AUX
ejpam-5987	25	17	discovered	discover	VERB
ejpam-5987	25	18	in	in	ADP
ejpam-5987	25	19	[	[	X
ejpam-5987	25	20	31	31	NUM
ejpam-5987	25	21	]	]	PUNCT
ejpam-5987	25	22	.	.	PUNCT
ejpam-5987	26	1	moreover	moreover	ADV
ejpam-5987	26	2	,	,	PUNCT
ejpam-5987	26	3	the	the	DET
ejpam-5987	26	4	authors	author	NOUN
ejpam-5987	26	5	of	of	ADP
ejpam-5987	26	6	[	[	X
ejpam-5987	26	7	32	32	NUM
ejpam-5987	26	8	]	]	PUNCT
ejpam-5987	26	9	explored	explore	VERB
ejpam-5987	26	10	the	the	DET
ejpam-5987	26	11	application	application	NOUN
ejpam-5987	26	12	of	of	ADP
ejpam-5987	26	13	the	the	DET
ejpam-5987	26	14	linear	linear	ADJ
ejpam-5987	26	15	superposition	superposition	NOUN
ejpam-5987	26	16	principle	principle	NOUN
ejpam-5987	26	17	to	to	PART
ejpam-5987	26	18	construct	construct	VERB
ejpam-5987	26	19	resonant	resonant	ADJ
ejpam-5987	26	20	multiple	multiple	ADJ
ejpam-5987	26	21	wave	wave	NOUN
ejpam-5987	26	22	solutions	solution	NOUN
ejpam-5987	26	23	for	for	ADP
ejpam-5987	26	24	a	a	DET
ejpam-5987	26	25	(	(	PUNCT
ejpam-5987	26	26	n+1)(n+1)-dimensional	n+1)(n+1)-dimensional	ADJ
ejpam-5987	26	27	nonlinear	nonlinear	ADJ
ejpam-5987	26	28	evolution	evolution	NOUN
ejpam-5987	26	29	equation	equation	NOUN
ejpam-5987	26	30	.	.	PUNCT
ejpam-5987	27	1	they	they	PRON
ejpam-5987	27	2	derived	derive	VERB
ejpam-5987	27	3	two	two	NUM
ejpam-5987	27	4	types	type	NOUN
ejpam-5987	27	5	of	of	ADP
ejpam-5987	27	6	resonant	resonant	ADJ
ejpam-5987	27	7	solutions	solution	NOUN
ejpam-5987	27	8	through	through	ADP
ejpam-5987	27	9	parameterization	parameterization	NOUN
ejpam-5987	27	10	of	of	ADP
ejpam-5987	27	11	wave	wave	NOUN
ejpam-5987	27	12	numbers	number	NOUN
ejpam-5987	27	13	and	and	CCONJ
ejpam-5987	27	14	frequencies	frequency	NOUN
ejpam-5987	27	15	and	and	CCONJ
ejpam-5987	27	16	illustrated	illustrate	VERB
ejpam-5987	27	17	the	the	DET
ejpam-5987	27	18	resonance	resonance	NOUN
ejpam-5987	27	19	phenomena	phenomenon	NOUN
ejpam-5987	27	20	of	of	ADP
ejpam-5987	27	21	multiple	multiple	ADJ
ejpam-5987	27	22	waves	wave	NOUN
ejpam-5987	27	23	with	with	ADP
ejpam-5987	27	24	figures	figure	NOUN
ejpam-5987	27	25	depicting	depict	VERB
ejpam-5987	27	26	several	several	ADJ
ejpam-5987	27	27	sample	sample	NOUN
ejpam-5987	27	28	solutions	solution	NOUN
ejpam-5987	27	29	.	.	PUNCT
ejpam-5987	28	1	this	this	DET
ejpam-5987	28	2	research	research	NOUN
ejpam-5987	28	3	contributes	contribute	VERB
ejpam-5987	28	4	to	to	ADP
ejpam-5987	28	5	our	our	PRON
ejpam-5987	28	6	understanding	understanding	NOUN
ejpam-5987	28	7	of	of	ADP
ejpam-5987	28	8	wave	wave	NOUN
ejpam-5987	28	9	interactions	interaction	NOUN
ejpam-5987	28	10	in	in	ADP
ejpam-5987	28	11	nonlinear	nonlinear	ADJ
ejpam-5987	28	12	systems	system	NOUN
ejpam-5987	28	13	.	.	PUNCT
ejpam-5987	29	1	the	the	DET
ejpam-5987	29	2	authors	author	NOUN
ejpam-5987	29	3	of	of	ADP
ejpam-5987	29	4	[	[	X
ejpam-5987	29	5	33	33	NUM
ejpam-5987	29	6	]	]	PUNCT
ejpam-5987	29	7	decomposed	decompose	VERB
ejpam-5987	29	8	a	a	DET
ejpam-5987	29	9	(	(	PUNCT
ejpam-5987	29	10	3	3	NUM
ejpam-5987	29	11	+	+	NOUN
ejpam-5987	29	12	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	29	13	nonlinear	nonlinear	ADJ
ejpam-5987	29	14	evolution	evolution	NOUN
ejpam-5987	29	15	equation	equation	NOUN
ejpam-5987	29	16	(	(	PUNCT
ejpam-5987	29	17	1	1	NUM
ejpam-5987	29	18	)	)	PUNCT
ejpam-5987	29	19	into	into	ADP
ejpam-5987	29	20	three	three	NUM
ejpam-5987	29	21	integrable	integrable	ADJ
ejpam-5987	29	22	(	(	PUNCT
ejpam-5987	29	23	1	1	NUM
ejpam-5987	29	24	+	+	NOUN
ejpam-5987	29	25	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	29	26	models	model	NOUN
ejpam-5987	29	27	,	,	PUNCT
ejpam-5987	29	28	deriving	derive	VERB
ejpam-5987	29	29	general	general	ADJ
ejpam-5987	29	30	nth	nth	NOUN
ejpam-5987	29	31	-	-	PUNCT
ejpam-5987	29	32	order	order	NOUN
ejpam-5987	29	33	rational	rational	ADJ
ejpam-5987	29	34	solutions	solution	NOUN
ejpam-5987	29	35	through	through	ADP
ejpam-5987	29	36	the	the	DET
ejpam-5987	29	37	darboux	darboux	ADJ
ejpam-5987	29	38	transformation	transformation	NOUN
ejpam-5987	29	39	method	method	NOUN
ejpam-5987	29	40	.	.	PUNCT
ejpam-5987	30	1	they	they	PRON
ejpam-5987	30	2	then	then	ADV
ejpam-5987	30	3	explored	explore	VERB
ejpam-5987	30	4	doubly	doubly	ADV
ejpam-5987	30	5	-	-	PUNCT
ejpam-5987	30	6	localized	localize	VERB
ejpam-5987	30	7	lumps	lump	NOUN
ejpam-5987	30	8	and	and	CCONJ
ejpam-5987	30	9	first	first	ADJ
ejpam-5987	30	10	-	-	PUNCT
ejpam-5987	30	11	order	order	NOUN
ejpam-5987	30	12	rogue	rogue	NOUN
ejpam-5987	30	13	waves	wave	NOUN
ejpam-5987	30	14	,	,	PUNCT
ejpam-5987	30	15	providing	provide	VERB
ejpam-5987	30	16	insights	insight	NOUN
ejpam-5987	30	17	into	into	ADP
ejpam-5987	30	18	their	their	PRON
ejpam-5987	30	19	patterns	pattern	NOUN
ejpam-5987	30	20	in	in	ADP
ejpam-5987	30	21	various	various	ADJ
ejpam-5987	30	22	planes	plane	NOUN
ejpam-5987	30	23	.	.	PUNCT
ejpam-5987	31	1	in	in	ADP
ejpam-5987	31	2	[	[	X
ejpam-5987	31	3	34	34	NUM
ejpam-5987	31	4	]	]	X
ejpam-5987	31	5	,	,	PUNCT
ejpam-5987	31	6	a	a	DET
ejpam-5987	31	7	comprehensive	comprehensive	ADJ
ejpam-5987	31	8	investigation	investigation	NOUN
ejpam-5987	31	9	was	be	AUX
ejpam-5987	31	10	carried	carry	VERB
ejpam-5987	31	11	out	out	ADP
ejpam-5987	31	12	to	to	PART
ejpam-5987	31	13	study	study	VERB
ejpam-5987	31	14	eq.(1	eq.(1	ADJ
ejpam-5987	31	15	)	)	PUNCT
ejpam-5987	31	16	,	,	PUNCT
ejpam-5987	31	17	focusing	focus	VERB
ejpam-5987	31	18	on	on	ADP
ejpam-5987	31	19	non	non	ADJ
ejpam-5987	31	20	-	-	ADJ
ejpam-5987	31	21	singular	singular	ADJ
ejpam-5987	31	22	multi	multi	ADJ
ejpam-5987	31	23	-	-	ADJ
ejpam-5987	31	24	complexiton	complexiton	ADJ
ejpam-5987	31	25	waves	wave	NOUN
ejpam-5987	31	26	.	.	PUNCT
ejpam-5987	32	1	they	they	PRON
ejpam-5987	32	2	”	"	PUNCT
ejpam-5987	32	3	initially	initially	ADV
ejpam-5987	32	4	obtained	obtain	VERB
ejpam-5987	32	5	multi	multi	ADJ
ejpam-5987	32	6	-	-	ADJ
ejpam-5987	32	7	shock	shock	ADJ
ejpam-5987	32	8	waves	wave	NOUN
ejpam-5987	32	9	using	use	VERB
ejpam-5987	32	10	linear	linear	ADJ
ejpam-5987	32	11	superposition	superposition	NOUN
ejpam-5987	32	12	and	and	CCONJ
ejpam-5987	32	13	then	then	ADV
ejpam-5987	32	14	constructed	construct	VERB
ejpam-5987	32	15	non	non	ADJ
ejpam-5987	32	16	-	-	ADJ
ejpam-5987	32	17	singular	singular	ADJ
ejpam-5987	32	18	multi	multi	ADJ
ejpam-5987	32	19	-	-	ADJ
ejpam-5987	32	20	complexiton	complexiton	ADJ
ejpam-5987	32	21	waves	wave	NOUN
ejpam-5987	32	22	through	through	ADP
ejpam-5987	32	23	symbolic	symbolic	ADJ
ejpam-5987	32	24	computations	computation	NOUN
ejpam-5987	32	25	.	.	PUNCT
ejpam-5987	33	1	in	in	ADP
ejpam-5987	33	2	the	the	DET
ejpam-5987	33	3	work	work	NOUN
ejpam-5987	33	4	of	of	ADP
ejpam-5987	33	5	[	[	X
ejpam-5987	33	6	35	35	NUM
ejpam-5987	33	7	]	]	PUNCT
ejpam-5987	33	8	,	,	PUNCT
ejpam-5987	33	9	the	the	DET
ejpam-5987	33	10	hirota	hirota	PROPN
ejpam-5987	33	11	bilinear	bilinear	PROPN
ejpam-5987	33	12	approach	approach	NOUN
ejpam-5987	33	13	was	be	AUX
ejpam-5987	33	14	employed	employ	VERB
ejpam-5987	33	15	to	to	ADP
ejpam-5987	33	16	studying	study	VERB
ejpam-5987	33	17	the	the	DET
ejpam-5987	33	18	model	model	NOUN
ejpam-5987	33	19	.	.	PUNCT
ejpam-5987	34	1	they	they	PRON
ejpam-5987	34	2	derived	derive	VERB
ejpam-5987	34	3	nn	nn	NOUN
ejpam-5987	34	4	-	-	PUNCT
ejpam-5987	34	5	soliton	soliton	NOUN
ejpam-5987	34	6	solutions	solution	NOUN
ejpam-5987	34	7	and	and	CCONJ
ejpam-5987	34	8	soliton	soliton	NOUN
ejpam-5987	34	9	molecules	molecule	NOUN
ejpam-5987	34	10	in	in	ADP
ejpam-5987	34	11	various	various	ADJ
ejpam-5987	34	12	planes	plane	NOUN
ejpam-5987	34	13	,	,	PUNCT
ejpam-5987	34	14	examining	examine	VERB
ejpam-5987	34	15	diverse	diverse	ADJ
ejpam-5987	34	16	hybrid	hybrid	ADJ
ejpam-5987	34	17	interactions	interaction	NOUN
ejpam-5987	34	18	and	and	CCONJ
ejpam-5987	34	19	periodic	periodic	ADJ
ejpam-5987	34	20	wave	wave	NOUN
ejpam-5987	34	21	solutions	solution	NOUN
ejpam-5987	34	22	.	.	PUNCT
ejpam-5987	35	1	this	this	DET
ejpam-5987	35	2	research	research	NOUN
ejpam-5987	35	3	enhances	enhance	VERB
ejpam-5987	35	4	the	the	DET
ejpam-5987	35	5	understanding	understanding	NOUN
ejpam-5987	35	6	of	of	ADP
ejpam-5987	35	7	the	the	DET
ejpam-5987	35	8	nonlinear	nonlinear	ADJ
ejpam-5987	35	9	dynamics	dynamic	NOUN
ejpam-5987	35	10	involved	involve	VERB
ejpam-5987	35	11	,	,	PUNCT
ejpam-5987	35	12	providing	provide	VERB
ejpam-5987	35	13	a	a	DET
ejpam-5987	35	14	comprehensive	comprehensive	ADJ
ejpam-5987	35	15	graphical	graphical	ADJ
ejpam-5987	35	16	analysis	analysis	NOUN
ejpam-5987	35	17	of	of	ADP
ejpam-5987	35	18	the	the	DET
ejpam-5987	35	19	dynamic	dynamic	ADJ
ejpam-5987	35	20	attributes	attribute	NOUN
ejpam-5987	35	21	of	of	ADP
ejpam-5987	35	22	the	the	DET
ejpam-5987	35	23	solutions	solution	NOUN
ejpam-5987	35	24	.	.	PUNCT
ejpam-5987	36	1	in	in	ADP
ejpam-5987	36	2	their	their	PRON
ejpam-5987	36	3	research	research	NOUN
ejpam-5987	36	4	,	,	PUNCT
ejpam-5987	36	5	the	the	DET
ejpam-5987	36	6	authors	author	NOUN
ejpam-5987	36	7	of	of	ADP
ejpam-5987	36	8	[	[	X
ejpam-5987	36	9	36	36	NUM
ejpam-5987	36	10	]	]	PUNCT
ejpam-5987	36	11	introduced	introduce	VERB
ejpam-5987	36	12	new	new	ADJ
ejpam-5987	36	13	solutions	solution	NOUN
ejpam-5987	36	14	to	to	ADP
ejpam-5987	36	15	the	the	DET
ejpam-5987	36	16	model	model	NOUN
ejpam-5987	36	17	,	,	PUNCT
ejpam-5987	36	18	focusing	focus	VERB
ejpam-5987	36	19	on	on	ADP
ejpam-5987	36	20	resonant	resonant	ADJ
ejpam-5987	36	21	multiple	multiple	ADJ
ejpam-5987	36	22	soliton	soliton	NOUN
ejpam-5987	36	23	solutions	solution	NOUN
ejpam-5987	36	24	(	(	PUNCT
ejpam-5987	36	25	rmsss	rmsss	NOUN
ejpam-5987	36	26	)	)	PUNCT
ejpam-5987	36	27	obtained	obtain	VERB
ejpam-5987	36	28	through	through	ADP
ejpam-5987	36	29	the	the	DET
ejpam-5987	36	30	linear	linear	ADJ
ejpam-5987	36	31	superposition	superposition	NOUN
ejpam-5987	36	32	principle	principle	NOUN
ejpam-5987	36	33	and	and	CCONJ
ejpam-5987	36	34	a	a	DET
ejpam-5987	36	35	weight	weight	NOUN
ejpam-5987	36	36	algorithm	algorithm	NOUN
ejpam-5987	36	37	.	.	PUNCT
ejpam-5987	37	1	they	they	PRON
ejpam-5987	37	2	also	also	ADV
ejpam-5987	37	3	developed	develop	VERB
ejpam-5987	37	4	both	both	CCONJ
ejpam-5987	37	5	nonsingular	nonsingular	ADJ
ejpam-5987	37	6	and	and	CCONJ
ejpam-5987	37	7	singular	singular	ADJ
ejpam-5987	37	8	complexiton	complexiton	NOUN
ejpam-5987	37	9	solutions	solution	NOUN
ejpam-5987	37	10	by	by	ADP
ejpam-5987	37	11	introducing	introduce	VERB
ejpam-5987	37	12	conjugate	conjugate	ADJ
ejpam-5987	37	13	parameter	parameter	NOUN
ejpam-5987	37	14	pairs	pair	NOUN
ejpam-5987	37	15	and	and	CCONJ
ejpam-5987	37	16	introduced	introduce	VERB
ejpam-5987	37	17	the	the	DET
ejpam-5987	37	18	bilinear	bilinear	NOUN
ejpam-5987	37	19	approach	approach	NOUN
ejpam-5987	37	20	to	to	PART
ejpam-5987	37	21	explore	explore	VERB
ejpam-5987	37	22	complex	complex	ADJ
ejpam-5987	37	23	multiple	multiple	ADJ
ejpam-5987	37	24	-	-	PUNCT
ejpam-5987	37	25	soliton	soliton	NOUN
ejpam-5987	37	26	solutions	solution	NOUN
ejpam-5987	37	27	.	.	PUNCT
ejpam-5987	38	1	nowadays	nowadays	ADV
ejpam-5987	38	2	,	,	PUNCT
ejpam-5987	38	3	non	non	ADJ
ejpam-5987	38	4	-	-	ADJ
ejpam-5987	38	5	traveling	traveling	ADJ
ejpam-5987	38	6	wave	wave	NOUN
ejpam-5987	38	7	solutions	solution	NOUN
ejpam-5987	38	8	are	be	AUX
ejpam-5987	38	9	applicable	applicable	ADJ
ejpam-5987	38	10	in	in	ADP
ejpam-5987	38	11	diverse	diverse	ADJ
ejpam-5987	38	12	domains	domain	NOUN
ejpam-5987	38	13	such	such	ADJ
ejpam-5987	38	14	as	as	ADP
ejpam-5987	38	15	physics	physics	NOUN
ejpam-5987	38	16	,	,	PUNCT
ejpam-5987	38	17	engineering	engineering	NOUN
ejpam-5987	38	18	,	,	PUNCT
ejpam-5987	38	19	and	and	CCONJ
ejpam-5987	38	20	fluid	fluid	ADJ
ejpam-5987	38	21	dynamics	dynamic	NOUN
ejpam-5987	38	22	,	,	PUNCT
ejpam-5987	38	23	offering	offer	VERB
ejpam-5987	38	24	enhanced	enhance	VERB
ejpam-5987	38	25	insights	insight	NOUN
ejpam-5987	38	26	into	into	ADP
ejpam-5987	38	27	the	the	DET
ejpam-5987	38	28	behavior	behavior	NOUN
ejpam-5987	38	29	of	of	ADP
ejpam-5987	38	30	complex	complex	ADJ
ejpam-5987	38	31	systems	system	NOUN
ejpam-5987	38	32	influenced	influence	VERB
ejpam-5987	38	33	by	by	ADP
ejpam-5987	38	34	multiple	multiple	ADJ
ejpam-5987	38	35	factors	factor	NOUN
ejpam-5987	38	36	.	.	PUNCT
ejpam-5987	39	1	one	one	NUM
ejpam-5987	39	2	of	of	ADP
ejpam-5987	39	3	the	the	DET
ejpam-5987	39	4	notable	notable	ADJ
ejpam-5987	39	5	techniques	technique	NOUN
ejpam-5987	39	6	that	that	PRON
ejpam-5987	39	7	has	have	AUX
ejpam-5987	39	8	contributed	contribute	VERB
ejpam-5987	39	9	to	to	ADP
ejpam-5987	39	10	the	the	DET
ejpam-5987	39	11	discovery	discovery	NOUN
ejpam-5987	39	12	of	of	ADP
ejpam-5987	39	13	non	non	ADJ
ejpam-5987	39	14	-	-	ADJ
ejpam-5987	39	15	traveling	traveling	ADJ
ejpam-5987	39	16	wave	wave	NOUN
ejpam-5987	39	17	solutions	solution	NOUN
ejpam-5987	39	18	for	for	ADP
ejpam-5987	39	19	equations	equation	NOUN
ejpam-5987	39	20	is	be	AUX
ejpam-5987	39	21	the	the	DET
ejpam-5987	39	22	extended	extended	ADJ
ejpam-5987	39	23	homoclinic	homoclinic	ADJ
ejpam-5987	39	24	test	test	NOUN
ejpam-5987	39	25	method	method	NOUN
ejpam-5987	39	26	,	,	PUNCT
ejpam-5987	39	27	which	which	PRON
ejpam-5987	39	28	has	have	AUX
ejpam-5987	39	29	been	be	AUX
ejpam-5987	39	30	employed	employ	VERB
ejpam-5987	39	31	to	to	PART
ejpam-5987	39	32	address	address	VERB
ejpam-5987	39	33	various	various	ADJ
ejpam-5987	39	34	equations	equation	NOUN
ejpam-5987	39	35	to	to	ADP
ejpam-5987	39	36	date	date	NOUN
ejpam-5987	39	37	[	[	X
ejpam-5987	39	38	37–40	37–40	NUM
ejpam-5987	39	39	]	]	PUNCT
ejpam-5987	39	40	.	.	PUNCT
ejpam-5987	40	1	the	the	DET
ejpam-5987	40	2	objective	objective	NOUN
ejpam-5987	40	3	of	of	ADP
ejpam-5987	40	4	this	this	DET
ejpam-5987	40	5	research	research	NOUN
ejpam-5987	40	6	is	be	AUX
ejpam-5987	40	7	to	to	PART
ejpam-5987	40	8	introduce	introduce	VERB
ejpam-5987	40	9	a	a	DET
ejpam-5987	40	10	novel	novel	ADJ
ejpam-5987	40	11	generalized	generalize	VERB
ejpam-5987	40	12	variable	variable	ADJ
ejpam-5987	40	13	separation	separation	NOUN
ejpam-5987	40	14	method	method	NOUN
ejpam-5987	40	15	to	to	PART
ejpam-5987	40	16	obtain	obtain	VERB
ejpam-5987	40	17	a	a	DET
ejpam-5987	40	18	wide	wide	ADJ
ejpam-5987	40	19	range	range	NOUN
ejpam-5987	40	20	of	of	ADP
ejpam-5987	40	21	explicit	explicit	ADJ
ejpam-5987	40	22	non	non	ADJ
ejpam-5987	40	23	-	-	ADJ
ejpam-5987	40	24	traveling	traveling	ADJ
ejpam-5987	40	25	wave	wave	NOUN
ejpam-5987	40	26	solutions	solution	NOUN
ejpam-5987	40	27	for	for	ADP
ejpam-5987	40	28	eq.(1	eq.(1	ADJ
ejpam-5987	40	29	)	)	PUNCT
ejpam-5987	40	30	.	.	PUNCT
ejpam-5987	41	1	this	this	DET
ejpam-5987	41	2	article	article	NOUN
ejpam-5987	41	3	presents	present	VERB
ejpam-5987	41	4	a	a	DET
ejpam-5987	41	5	version	version	NOUN
ejpam-5987	41	6	that	that	PRON
ejpam-5987	41	7	is	be	AUX
ejpam-5987	41	8	more	more	ADV
ejpam-5987	41	9	comprehensive	comprehensive	ADJ
ejpam-5987	41	10	and	and	CCONJ
ejpam-5987	41	11	inclusive	inclusive	ADJ
ejpam-5987	41	12	than	than	ADP
ejpam-5987	41	13	the	the	DET
ejpam-5987	41	14	form	form	NOUN
ejpam-5987	41	15	cons	con	NOUN
ejpam-5987	41	16	.	.	PUNCT
ejpam-5987	42	1	a.	a.	PROPN
ejpam-5987	42	2	m.	m.	PROPN
ejpam-5987	42	3	alsallami	alsallami	PROPN
ejpam-5987	42	4	,	,	PUNCT
ejpam-5987	42	5	m.	m.	NOUN
ejpam-5987	42	6	alkinidri	alkinidri	PROPN
ejpam-5987	42	7	/	/	SYM
ejpam-5987	42	8	eur	eur	PROPN
ejpam-5987	42	9	.	.	PUNCT
ejpam-5987	43	1	j.	j.	PROPN
ejpam-5987	43	2	pure	pure	PROPN
ejpam-5987	43	3	appl	appl	PROPN
ejpam-5987	43	4	.	.	PROPN
ejpam-5987	43	5	math	math	PROPN
ejpam-5987	43	6	,	,	PUNCT
ejpam-5987	43	7	18	18	NUM
ejpam-5987	43	8	(	(	PUNCT
ejpam-5987	43	9	2	2	NUM
ejpam-5987	43	10	)	)	PUNCT
ejpam-5987	43	11	(	(	PUNCT
ejpam-5987	43	12	2025	2025	NUM
ejpam-5987	43	13	)	)	PUNCT
ejpam-5987	43	14	,	,	PUNCT
ejpam-5987	43	15	5987	5987	NUM
ejpam-5987	43	16	3	3	NUM
ejpam-5987	43	17	of	of	ADP
ejpam-5987	43	18	22	22	NUM
ejpam-5987	43	19	sidered	sidere	VERB
ejpam-5987	43	20	in	in	ADP
ejpam-5987	43	21	[	[	X
ejpam-5987	43	22	37–39	37–39	NUM
ejpam-5987	43	23	]	]	PUNCT
ejpam-5987	43	24	.	.	PUNCT
ejpam-5987	44	1	to	to	ADP
ejpam-5987	44	2	the	the	DET
ejpam-5987	44	3	best	good	ADJ
ejpam-5987	44	4	of	of	ADP
ejpam-5987	44	5	our	our	PRON
ejpam-5987	44	6	knowledge	knowledge	NOUN
ejpam-5987	44	7	,	,	PUNCT
ejpam-5987	44	8	this	this	DET
ejpam-5987	44	9	methodology	methodology	NOUN
ejpam-5987	44	10	has	have	VERB
ejpam-5987	44	11	yet	yet	ADV
ejpam-5987	44	12	to	to	PART
ejpam-5987	44	13	be	be	AUX
ejpam-5987	44	14	applied	apply	VERB
ejpam-5987	44	15	to	to	PART
ejpam-5987	44	16	identify	identify	VERB
ejpam-5987	44	17	non	non	ADJ
ejpam-5987	44	18	-	-	ADJ
ejpam-5987	44	19	traveling	traveling	ADJ
ejpam-5987	44	20	wave	wave	NOUN
ejpam-5987	44	21	solutions	solution	NOUN
ejpam-5987	44	22	to	to	ADP
ejpam-5987	44	23	eq.(1	eq.(1	NUM
ejpam-5987	44	24	)	)	PUNCT
ejpam-5987	44	25	.	.	PUNCT
ejpam-5987	45	1	this	this	DET
ejpam-5987	45	2	article	article	NOUN
ejpam-5987	45	3	is	be	AUX
ejpam-5987	45	4	organized	organize	VERB
ejpam-5987	45	5	as	as	SCONJ
ejpam-5987	45	6	follows	follow	VERB
ejpam-5987	45	7	.	.	PUNCT
ejpam-5987	46	1	the	the	DET
ejpam-5987	46	2	second	second	ADJ
ejpam-5987	46	3	section	section	NOUN
ejpam-5987	46	4	introduces	introduce	VERB
ejpam-5987	46	5	the	the	DET
ejpam-5987	46	6	formal	formal	ADJ
ejpam-5987	46	7	structure	structure	NOUN
ejpam-5987	46	8	of	of	ADP
ejpam-5987	46	9	the	the	DET
ejpam-5987	46	10	reduction	reduction	NOUN
ejpam-5987	46	11	procedure	procedure	NOUN
ejpam-5987	46	12	for	for	ADP
ejpam-5987	46	13	eq.(1	eq.(1	ADJ
ejpam-5987	46	14	)	)	PUNCT
ejpam-5987	46	15	.	.	PUNCT
ejpam-5987	47	1	section	section	NOUN
ejpam-5987	47	2	3	3	NUM
ejpam-5987	47	3	outlines	outline	VERB
ejpam-5987	47	4	an	an	DET
ejpam-5987	47	5	alternative	alternative	ADJ
ejpam-5987	47	6	scenario	scenario	NOUN
ejpam-5987	47	7	to	to	PART
ejpam-5987	47	8	achieve	achieve	VERB
ejpam-5987	47	9	several	several	ADJ
ejpam-5987	47	10	non	non	ADJ
ejpam-5987	47	11	-	-	ADJ
ejpam-5987	47	12	traveling	traveling	ADJ
ejpam-5987	47	13	wave	wave	NOUN
ejpam-5987	47	14	solutions	solution	NOUN
ejpam-5987	47	15	to	to	ADP
ejpam-5987	47	16	eq.(1	eq.(1	NUM
ejpam-5987	47	17	)	)	PUNCT
ejpam-5987	47	18	.	.	PUNCT
ejpam-5987	48	1	in	in	ADP
ejpam-5987	48	2	section	section	NOUN
ejpam-5987	48	3	4	4	NUM
ejpam-5987	48	4	,	,	PUNCT
ejpam-5987	48	5	we	we	PRON
ejpam-5987	48	6	present	present	VERB
ejpam-5987	48	7	the	the	DET
ejpam-5987	48	8	dynamical	dynamical	ADJ
ejpam-5987	48	9	analysis	analysis	NOUN
ejpam-5987	48	10	of	of	ADP
ejpam-5987	48	11	the	the	DET
ejpam-5987	48	12	proposed	propose	VERB
ejpam-5987	48	13	solutions	solution	NOUN
ejpam-5987	48	14	.	.	PUNCT
ejpam-5987	49	1	finally	finally	ADV
ejpam-5987	49	2	,	,	PUNCT
ejpam-5987	49	3	the	the	DET
ejpam-5987	49	4	article	article	NOUN
ejpam-5987	49	5	concludes	conclude	VERB
ejpam-5987	49	6	with	with	ADP
ejpam-5987	49	7	a	a	DET
ejpam-5987	49	8	summary	summary	NOUN
ejpam-5987	49	9	in	in	ADP
ejpam-5987	49	10	the	the	DET
ejpam-5987	49	11	last	last	ADJ
ejpam-5987	49	12	section	section	NOUN
ejpam-5987	49	13	.	.	PUNCT
ejpam-5987	50	1	2	2	X
ejpam-5987	50	2	.	.	X
ejpam-5987	50	3	the	the	DET
ejpam-5987	50	4	reduction	reduction	NOUN
ejpam-5987	50	5	procedure	procedure	NOUN
ejpam-5987	50	6	for	for	ADP
ejpam-5987	50	7	eq.(1	eq.(1	ADJ
ejpam-5987	50	8	)	)	PUNCT
ejpam-5987	50	9	in	in	ADP
ejpam-5987	50	10	this	this	DET
ejpam-5987	50	11	paper	paper	NOUN
ejpam-5987	50	12	,	,	PUNCT
ejpam-5987	50	13	we	we	PRON
ejpam-5987	50	14	investigate	investigate	VERB
ejpam-5987	50	15	a	a	DET
ejpam-5987	50	16	generalized	generalized	ADJ
ejpam-5987	50	17	method	method	NOUN
ejpam-5987	50	18	for	for	ADP
ejpam-5987	50	19	variable	variable	ADJ
ejpam-5987	50	20	separation	separation	NOUN
ejpam-5987	50	21	that	that	PRON
ejpam-5987	50	22	enables	enable	VERB
ejpam-5987	50	23	the	the	DET
ejpam-5987	50	24	derivation	derivation	NOUN
ejpam-5987	50	25	of	of	ADP
ejpam-5987	50	26	non	non	ADJ
ejpam-5987	50	27	-	-	ADJ
ejpam-5987	50	28	traveling	traveling	ADJ
ejpam-5987	50	29	wave	wave	NOUN
ejpam-5987	50	30	exact	exact	ADJ
ejpam-5987	50	31	solutions	solution	NOUN
ejpam-5987	50	32	to	to	ADP
ejpam-5987	50	33	eq.(1	eq.(1	ADJ
ejpam-5987	50	34	)	)	PUNCT
ejpam-5987	50	35	within	within	ADP
ejpam-5987	50	36	the	the	DET
ejpam-5987	50	37	following	follow	VERB
ejpam-5987	50	38	specified	specified	ADJ
ejpam-5987	50	39	framework	framework	NOUN
ejpam-5987	50	40	:	:	PUNCT
ejpam-5987	50	41	u(x	u(x	PROPN
ejpam-5987	50	42	,	,	PUNCT
ejpam-5987	50	43	y	y	PROPN
ejpam-5987	50	44	,	,	PUNCT
ejpam-5987	50	45	z	z	PROPN
ejpam-5987	50	46	,	,	PUNCT
ejpam-5987	50	47	t	t	PROPN
ejpam-5987	50	48	)	)	PUNCT
ejpam-5987	50	49	=	=	SYM
ejpam-5987	51	1	p(y	p(y	PROPN
ejpam-5987	51	2	,	,	PUNCT
ejpam-5987	51	3	z	z	PROPN
ejpam-5987	51	4	,	,	PUNCT
ejpam-5987	51	5	t	t	PROPN
ejpam-5987	51	6	)	)	PUNCT
ejpam-5987	51	7	·	·	PUNCT
ejpam-5987	52	1	φ(ξ	φ(ξ	PROPN
ejpam-5987	52	2	,	,	PUNCT
ejpam-5987	52	3	t	t	PROPN
ejpam-5987	52	4	)	)	PUNCT
ejpam-5987	52	5	+	+	CCONJ
ejpam-5987	52	6	q(y	q(y	PROPN
ejpam-5987	52	7	,	,	PUNCT
ejpam-5987	52	8	z	z	PROPN
ejpam-5987	52	9	,	,	PUNCT
ejpam-5987	52	10	t	t	PROPN
ejpam-5987	52	11	)	)	PUNCT
ejpam-5987	52	12	,	,	PUNCT
ejpam-5987	52	13	(	(	PUNCT
ejpam-5987	52	14	2	2	X
ejpam-5987	52	15	)	)	PUNCT
ejpam-5987	52	16	where	where	SCONJ
ejpam-5987	52	17	ξ	ξ	X
ejpam-5987	52	18	=	=	PUNCT
ejpam-5987	52	19	αx	αx	X
ejpam-5987	52	20	+	+	CCONJ
ejpam-5987	52	21	θ(y	θ(y	PROPN
ejpam-5987	52	22	,	,	PUNCT
ejpam-5987	52	23	z	z	PROPN
ejpam-5987	52	24	,	,	PUNCT
ejpam-5987	52	25	t	t	PROPN
ejpam-5987	52	26	)	)	PUNCT
ejpam-5987	52	27	,	,	PUNCT
ejpam-5987	52	28	and	and	CCONJ
ejpam-5987	52	29	p	p	X
ejpam-5987	52	30	,	,	PUNCT
ejpam-5987	52	31	q	q	NOUN
ejpam-5987	52	32	,	,	PUNCT
ejpam-5987	52	33	θ	θ	PROPN
ejpam-5987	52	34	and	and	CCONJ
ejpam-5987	52	35	φ	φ	PROPN
ejpam-5987	52	36	are	be	AUX
ejpam-5987	52	37	three	three	NUM
ejpam-5987	52	38	unknown	unknown	ADJ
ejpam-5987	52	39	functions	function	NOUN
ejpam-5987	52	40	.	.	PUNCT
ejpam-5987	53	1	this	this	DET
ejpam-5987	53	2	framework	framework	NOUN
ejpam-5987	53	3	represents	represent	VERB
ejpam-5987	53	4	a	a	DET
ejpam-5987	53	5	broader	broad	ADJ
ejpam-5987	53	6	version	version	NOUN
ejpam-5987	53	7	of	of	ADP
ejpam-5987	53	8	the	the	DET
ejpam-5987	53	9	structures	structure	NOUN
ejpam-5987	53	10	previously	previously	ADV
ejpam-5987	53	11	found	find	VERB
ejpam-5987	53	12	in	in	ADP
ejpam-5987	53	13	the	the	DET
ejpam-5987	53	14	literature	literature	NOUN
ejpam-5987	53	15	for	for	ADP
ejpam-5987	53	16	p(y	p(y	PROPN
ejpam-5987	53	17	,	,	PUNCT
ejpam-5987	53	18	z	z	PROPN
ejpam-5987	53	19	,	,	PUNCT
ejpam-5987	53	20	t	t	PROPN
ejpam-5987	53	21	)	)	PUNCT
ejpam-5987	53	22	=	=	SYM
ejpam-5987	54	1	1	1	X
ejpam-5987	54	2	.	.	PUNCT
ejpam-5987	55	1	this	this	DET
ejpam-5987	55	2	new	new	ADJ
ejpam-5987	55	3	assumption	assumption	NOUN
ejpam-5987	55	4	could	could	AUX
ejpam-5987	55	5	potentially	potentially	ADV
ejpam-5987	55	6	yield	yield	VERB
ejpam-5987	55	7	solutions	solution	NOUN
ejpam-5987	55	8	that	that	PRON
ejpam-5987	55	9	have	have	AUX
ejpam-5987	55	10	not	not	PART
ejpam-5987	55	11	been	be	AUX
ejpam-5987	55	12	explored	explore	VERB
ejpam-5987	55	13	or	or	CCONJ
ejpam-5987	55	14	documented	document	VERB
ejpam-5987	55	15	in	in	ADP
ejpam-5987	55	16	earlier	early	ADJ
ejpam-5987	55	17	studies	study	NOUN
ejpam-5987	55	18	of	of	ADP
ejpam-5987	55	19	the	the	DET
ejpam-5987	55	20	equation	equation	NOUN
ejpam-5987	55	21	.	.	PUNCT
ejpam-5987	56	1	the	the	DET
ejpam-5987	56	2	subsequent	subsequent	ADJ
ejpam-5987	56	3	theorem	theorem	NOUN
ejpam-5987	56	4	outlines	outline	VERB
ejpam-5987	56	5	the	the	DET
ejpam-5987	56	6	key	key	ADJ
ejpam-5987	56	7	findings	finding	NOUN
ejpam-5987	56	8	of	of	ADP
ejpam-5987	56	9	the	the	DET
ejpam-5987	56	10	paper	paper	NOUN
ejpam-5987	56	11	.	.	PUNCT
ejpam-5987	57	1	theorem	theorem	NOUN
ejpam-5987	57	2	1	1	NUM
ejpam-5987	57	3	.	.	PUNCT
ejpam-5987	58	1	through	through	ADP
ejpam-5987	58	2	the	the	DET
ejpam-5987	58	3	application	application	NOUN
ejpam-5987	58	4	of	of	ADP
ejpam-5987	58	5	variable	variable	ADJ
ejpam-5987	58	6	transformation	transformation	NOUN
ejpam-5987	58	7	defined	define	VERB
ejpam-5987	58	8	as	as	ADP
ejpam-5987	58	9	u(x	u(x	NOUN
ejpam-5987	58	10	,	,	PUNCT
ejpam-5987	58	11	y	y	PROPN
ejpam-5987	58	12	,	,	PUNCT
ejpam-5987	58	13	z	z	PROPN
ejpam-5987	58	14	,	,	PUNCT
ejpam-5987	58	15	t	t	PROPN
ejpam-5987	58	16	)	)	PUNCT
ejpam-5987	58	17	=	=	SYM
ejpam-5987	58	18	p(y	p(y	PROPN
ejpam-5987	58	19	,	,	PUNCT
ejpam-5987	58	20	z	z	PROPN
ejpam-5987	58	21	,	,	PUNCT
ejpam-5987	58	22	t	t	PROPN
ejpam-5987	58	23	)	)	PUNCT
ejpam-5987	58	24	·	·	PUNCT
ejpam-5987	59	1	φ(ξ	φ(ξ	PROPN
ejpam-5987	59	2	,	,	PUNCT
ejpam-5987	59	3	t	t	PROPN
ejpam-5987	59	4	)	)	PUNCT
ejpam-5987	59	5	+	+	CCONJ
ejpam-5987	59	6	q(y	q(y	PROPN
ejpam-5987	59	7	,	,	PUNCT
ejpam-5987	59	8	z	z	PROPN
ejpam-5987	59	9	,	,	PUNCT
ejpam-5987	59	10	t	t	PROPN
ejpam-5987	59	11	)	)	PUNCT
ejpam-5987	59	12	,	,	PUNCT
ejpam-5987	59	13	(	(	PUNCT
ejpam-5987	59	14	3	3	X
ejpam-5987	59	15	)	)	PUNCT
ejpam-5987	59	16	in	in	ADP
ejpam-5987	59	17	eq.(1	eq.(1	ADJ
ejpam-5987	59	18	)	)	PUNCT
ejpam-5987	59	19	where	where	SCONJ
ejpam-5987	59	20	ξ	ξ	X
ejpam-5987	59	21	=	=	PUNCT
ejpam-5987	59	22	αx	αx	X
ejpam-5987	59	23	+	+	CCONJ
ejpam-5987	59	24	θ(y	θ(y	PROPN
ejpam-5987	59	25	,	,	PUNCT
ejpam-5987	59	26	z	z	PROPN
ejpam-5987	59	27	,	,	PUNCT
ejpam-5987	59	28	t	t	PROPN
ejpam-5987	59	29	)	)	PUNCT
ejpam-5987	59	30	,	,	PUNCT
ejpam-5987	59	31	with	with	ADP
ejpam-5987	59	32	unknown	unknown	ADJ
ejpam-5987	59	33	functions	function	NOUN
ejpam-5987	59	34	p	p	X
ejpam-5987	59	35	,	,	PUNCT
ejpam-5987	59	36	q	q	ADJ
ejpam-5987	59	37	,	,	PUNCT
ejpam-5987	59	38	θ	θ	PROPN
ejpam-5987	59	39	,	,	PUNCT
ejpam-5987	59	40	and	and	CCONJ
ejpam-5987	59	41	φ	φ	NUM
ejpam-5987	59	42	,	,	PUNCT
ejpam-5987	59	43	we	we	PRON
ejpam-5987	59	44	obtain	obtain	VERB
ejpam-5987	59	45	the	the	DET
ejpam-5987	59	46	following	follow	VERB
ejpam-5987	59	47	results	result	NOUN
ejpam-5987	59	48	:	:	PUNCT
ejpam-5987	59	49	(	(	PUNCT
ejpam-5987	59	50	i	i	NOUN
ejpam-5987	59	51	)	)	PUNCT
ejpam-5987	59	52	for	for	ADP
ejpam-5987	59	53	any	any	DET
ejpam-5987	59	54	arbitrary	arbitrary	ADJ
ejpam-5987	59	55	continuous	continuous	ADJ
ejpam-5987	59	56	two	two	NUM
ejpam-5987	59	57	-	-	PUNCT
ejpam-5987	59	58	dimensional	dimensional	ADJ
ejpam-5987	59	59	functions	function	NOUN
ejpam-5987	59	60	f1	f1	NOUN
ejpam-5987	59	61	and	and	CCONJ
ejpam-5987	59	62	λ	λ	PROPN
ejpam-5987	59	63	that	that	PRON
ejpam-5987	59	64	depend	depend	VERB
ejpam-5987	59	65	on	on	ADP
ejpam-5987	59	66	z	z	PROPN
ejpam-5987	59	67	and	and	CCONJ
ejpam-5987	59	68	t	t	PROPN
ejpam-5987	59	69	,	,	PUNCT
ejpam-5987	59	70	if	if	SCONJ
ejpam-5987	59	71	p(y	p(y	NOUN
ejpam-5987	59	72	,	,	PUNCT
ejpam-5987	59	73	z	z	PROPN
ejpam-5987	59	74	,	,	PUNCT
ejpam-5987	59	75	t	t	PROPN
ejpam-5987	59	76	)	)	PUNCT
ejpam-5987	59	77	=	=	SYM
ejpam-5987	59	78	1	1	NUM
ejpam-5987	59	79	holds	hold	VERB
ejpam-5987	59	80	along	along	ADP
ejpam-5987	59	81	with	with	ADP
ejpam-5987	59	82	θ(y	θ(y	PROPN
ejpam-5987	59	83	,	,	PUNCT
ejpam-5987	59	84	z	z	PROPN
ejpam-5987	59	85	,	,	PUNCT
ejpam-5987	59	86	t	t	PROPN
ejpam-5987	59	87	)	)	PUNCT
ejpam-5987	59	88	=	=	SYM
ejpam-5987	59	89	f1(z	f1(z	PROPN
ejpam-5987	59	90	,	,	PUNCT
ejpam-5987	59	91	t	t	PROPN
ejpam-5987	59	92	)	)	PUNCT
ejpam-5987	59	93	,	,	PUNCT
ejpam-5987	59	94	q(y	q(y	PROPN
ejpam-5987	59	95	,	,	PUNCT
ejpam-5987	59	96	z	z	PROPN
ejpam-5987	59	97	,	,	PUNCT
ejpam-5987	59	98	t	t	PROPN
ejpam-5987	59	99	)	)	PUNCT
ejpam-5987	59	100	=	=	SYM
ejpam-5987	60	1	−3f1z(z	−3f1z(z	PROPN
ejpam-5987	60	2	,	,	PUNCT
ejpam-5987	60	3	t	t	PROPN
ejpam-5987	60	4	)	)	PUNCT
ejpam-5987	60	5	2α	2α	NOUN
ejpam-5987	60	6	y	y	PROPN
ejpam-5987	60	7	+	+	CCONJ
ejpam-5987	60	8	λ(z	λ(z	PROPN
ejpam-5987	60	9	,	,	PUNCT
ejpam-5987	60	10	t	t	PROPN
ejpam-5987	60	11	)	)	PUNCT
ejpam-5987	60	12	,	,	PUNCT
ejpam-5987	60	13	(	(	PUNCT
ejpam-5987	60	14	4	4	X
ejpam-5987	60	15	)	)	PUNCT
ejpam-5987	60	16	then	then	ADV
ejpam-5987	60	17	the	the	DET
ejpam-5987	60	18	solution	solution	NOUN
ejpam-5987	60	19	of	of	ADP
ejpam-5987	60	20	eq.(1	eq.(1	ADJ
ejpam-5987	60	21	)	)	PUNCT
ejpam-5987	60	22	can	can	AUX
ejpam-5987	60	23	be	be	AUX
ejpam-5987	60	24	expressed	express	VERB
ejpam-5987	60	25	as	as	ADP
ejpam-5987	60	26	u(x	u(x	NOUN
ejpam-5987	60	27	,	,	PUNCT
ejpam-5987	60	28	y	y	PROPN
ejpam-5987	60	29	,	,	PUNCT
ejpam-5987	60	30	z	z	PROPN
ejpam-5987	60	31	,	,	PUNCT
ejpam-5987	60	32	t	t	PROPN
ejpam-5987	60	33	)	)	PUNCT
ejpam-5987	60	34	=	=	PRON
ejpam-5987	60	35	φ(αx+	φ(αx+	NUM
ejpam-5987	60	36	f1(z	f1(z	PROPN
ejpam-5987	60	37	,	,	PUNCT
ejpam-5987	60	38	t	t	PROPN
ejpam-5987	60	39	)	)	PUNCT
ejpam-5987	60	40	,	,	PUNCT
ejpam-5987	60	41	t)−	t)−	PROPN
ejpam-5987	60	42	3	3	NUM
ejpam-5987	60	43	(	(	PUNCT
ejpam-5987	60	44	∂	∂	NUM
ejpam-5987	60	45	∂zf1(z	∂zf1(z	PROPN
ejpam-5987	60	46	,	,	PUNCT
ejpam-5987	60	47	t	t	PROPN
ejpam-5987	60	48	)	)	PUNCT
ejpam-5987	60	49	)	)	PUNCT
ejpam-5987	61	1	y	y	PROPN
ejpam-5987	61	2	2α	2α	NOUN
ejpam-5987	61	3	+	+	CCONJ
ejpam-5987	61	4	λ(z	λ(z	NOUN
ejpam-5987	61	5	,	,	PUNCT
ejpam-5987	61	6	t	t	PROPN
ejpam-5987	61	7	)	)	PUNCT
ejpam-5987	61	8	,	,	PUNCT
ejpam-5987	61	9	(	(	PUNCT
ejpam-5987	61	10	5	5	X
ejpam-5987	61	11	)	)	PUNCT
ejpam-5987	61	12	where	where	SCONJ
ejpam-5987	61	13	φ	φ	PROPN
ejpam-5987	61	14	is	be	AUX
ejpam-5987	61	15	an	an	DET
ejpam-5987	61	16	arbitrary	arbitrary	ADJ
ejpam-5987	61	17	continuous	continuous	ADJ
ejpam-5987	61	18	two	two	NUM
ejpam-5987	61	19	-	-	PUNCT
ejpam-5987	61	20	variable	variable	NOUN
ejpam-5987	61	21	function	function	NOUN
ejpam-5987	61	22	.	.	PUNCT
ejpam-5987	62	1	(	(	PUNCT
ejpam-5987	62	2	ii	ii	NOUN
ejpam-5987	62	3	)	)	PUNCT
ejpam-5987	62	4	for	for	ADP
ejpam-5987	62	5	any	any	DET
ejpam-5987	62	6	arbitrary	arbitrary	ADJ
ejpam-5987	62	7	continuous	continuous	ADJ
ejpam-5987	62	8	two	two	NUM
ejpam-5987	62	9	-	-	PUNCT
ejpam-5987	62	10	dimensional	dimensional	ADJ
ejpam-5987	62	11	functions	function	NOUN
ejpam-5987	62	12	f1	f1	NOUN
ejpam-5987	62	13	,	,	PUNCT
ejpam-5987	62	14	f2	f2	PROPN
ejpam-5987	62	15	,	,	PUNCT
ejpam-5987	62	16	and	and	CCONJ
ejpam-5987	62	17	λ	λ	NOUN
ejpam-5987	62	18	,	,	PUNCT
ejpam-5987	62	19	if	if	SCONJ
ejpam-5987	62	20	p(y	p(y	NOUN
ejpam-5987	62	21	,	,	PUNCT
ejpam-5987	62	22	z	z	PROPN
ejpam-5987	62	23	,	,	PUNCT
ejpam-5987	62	24	t	t	PROPN
ejpam-5987	62	25	)	)	PUNCT
ejpam-5987	62	26	=	=	SYM
ejpam-5987	62	27	1	1	NUM
ejpam-5987	62	28	holds	hold	VERB
ejpam-5987	62	29	with	with	ADP
ejpam-5987	62	30	θ(y	θ(y	PROPN
ejpam-5987	62	31	,	,	PUNCT
ejpam-5987	62	32	z	z	PROPN
ejpam-5987	62	33	,	,	PUNCT
ejpam-5987	62	34	t	t	PROPN
ejpam-5987	62	35	)	)	PUNCT
ejpam-5987	62	36	=	=	SYM
ejpam-5987	62	37	f1(z	f1(z	PROPN
ejpam-5987	62	38	,	,	PUNCT
ejpam-5987	62	39	t	t	PROPN
ejpam-5987	62	40	)	)	PUNCT
ejpam-5987	62	41	+	+	CCONJ
ejpam-5987	62	42	f2(y	f2(y	PROPN
ejpam-5987	62	43	,	,	PUNCT
ejpam-5987	62	44	z	z	NOUN
ejpam-5987	62	45	)	)	PUNCT
ejpam-5987	62	46	,	,	PUNCT
ejpam-5987	62	47	q(y	q(y	PROPN
ejpam-5987	62	48	,	,	PUNCT
ejpam-5987	62	49	z	z	PROPN
ejpam-5987	62	50	,	,	PUNCT
ejpam-5987	62	51	t	t	PROPN
ejpam-5987	62	52	)	)	PUNCT
ejpam-5987	62	53	=	=	SYM
ejpam-5987	63	1	−3f1z(z	−3f1z(z	NOUN
ejpam-5987	63	2	,	,	PUNCT
ejpam-5987	63	3	t)αy	t)αy	PROPN
ejpam-5987	63	4	−	−	PROPN
ejpam-5987	63	5	3	3	NUM
ejpam-5987	63	6	(	(	PUNCT
ejpam-5987	63	7	∫	∫	PROPN
ejpam-5987	63	8	f2z(y	f2z(y	PROPN
ejpam-5987	63	9	,	,	PUNCT
ejpam-5987	63	10	z)dy	z)dy	PROPN
ejpam-5987	63	11	)	)	PUNCT
ejpam-5987	63	12	α+	α+	PRON
ejpam-5987	63	13	2f2(y	2f2(y	NUM
ejpam-5987	63	14	,	,	PUNCT
ejpam-5987	63	15	z)f1t(z	z)f1t(z	NOUN
ejpam-5987	63	16	,	,	PUNCT
ejpam-5987	63	17	t	t	PROPN
ejpam-5987	63	18	)	)	PUNCT
ejpam-5987	63	19	2α2	2α2	NUM
ejpam-5987	64	1	+	+	CCONJ
ejpam-5987	64	2	λ(z	λ(z	NOUN
ejpam-5987	64	3	,	,	PUNCT
ejpam-5987	64	4	t	t	PROPN
ejpam-5987	64	5	)	)	PUNCT
ejpam-5987	64	6	,	,	PUNCT
ejpam-5987	64	7	(	(	PUNCT
ejpam-5987	64	8	6	6	NUM
ejpam-5987	64	9	)	)	PUNCT
ejpam-5987	64	10	then	then	ADV
ejpam-5987	64	11	eq.(1	eq.(1	ADJ
ejpam-5987	64	12	)	)	PUNCT
ejpam-5987	64	13	simplifies	simplifie	NOUN
ejpam-5987	64	14	to	to	ADP
ejpam-5987	64	15	α3φξξξ	α3φξξξ	NOUN
ejpam-5987	64	16	−	−	PROPN
ejpam-5987	64	17	2α2φ2	2α2φ2	NUM
ejpam-5987	64	18	ξ	ξ	PROPN
ejpam-5987	65	1	+	+	NUM
ejpam-5987	65	2	2φt	2φt	NOUN
ejpam-5987	65	3	=	=	SYM
ejpam-5987	65	4	0	0	X
ejpam-5987	65	5	.	.	PUNCT
ejpam-5987	65	6	(	(	PUNCT
ejpam-5987	65	7	7	7	X
ejpam-5987	65	8	)	)	PUNCT
ejpam-5987	65	9	s.	s.	PROPN
ejpam-5987	65	10	a.	a.	PROPN
ejpam-5987	65	11	m.	m.	PROPN
ejpam-5987	65	12	alsallami	alsallami	PROPN
ejpam-5987	65	13	,	,	PUNCT
ejpam-5987	65	14	m.	m.	NOUN
ejpam-5987	65	15	alkinidri	alkinidri	PROPN
ejpam-5987	65	16	/	/	SYM
ejpam-5987	65	17	eur	eur	PROPN
ejpam-5987	65	18	.	.	PUNCT
ejpam-5987	66	1	j.	j.	PROPN
ejpam-5987	66	2	pure	pure	PROPN
ejpam-5987	66	3	appl	appl	PROPN
ejpam-5987	66	4	.	.	PROPN
ejpam-5987	66	5	math	math	PROPN
ejpam-5987	66	6	,	,	PUNCT
ejpam-5987	66	7	18	18	NUM
ejpam-5987	66	8	(	(	PUNCT
ejpam-5987	66	9	2	2	NUM
ejpam-5987	66	10	)	)	PUNCT
ejpam-5987	66	11	(	(	PUNCT
ejpam-5987	66	12	2025	2025	NUM
ejpam-5987	66	13	)	)	PUNCT
ejpam-5987	66	14	,	,	PUNCT
ejpam-5987	66	15	5987	5987	NUM
ejpam-5987	66	16	4	4	NUM
ejpam-5987	66	17	of	of	ADP
ejpam-5987	66	18	22	22	NUM
ejpam-5987	66	19	(	(	PUNCT
ejpam-5987	66	20	iii	iii	NOUN
ejpam-5987	66	21	)	)	PUNCT
ejpam-5987	66	22	for	for	ADP
ejpam-5987	66	23	any	any	DET
ejpam-5987	66	24	arbitrary	arbitrary	ADJ
ejpam-5987	66	25	continuous	continuous	ADJ
ejpam-5987	66	26	two	two	NUM
ejpam-5987	66	27	-	-	PUNCT
ejpam-5987	66	28	dimensional	dimensional	ADJ
ejpam-5987	66	29	functions	function	NOUN
ejpam-5987	66	30	f1	f1	NOUN
ejpam-5987	66	31	,	,	PUNCT
ejpam-5987	66	32	f2	f2	PROPN
ejpam-5987	66	33	,	,	PUNCT
ejpam-5987	66	34	and	and	CCONJ
ejpam-5987	66	35	λ	λ	NOUN
ejpam-5987	66	36	,	,	PUNCT
ejpam-5987	66	37	if	if	SCONJ
ejpam-5987	66	38	it	it	PRON
ejpam-5987	66	39	holds	hold	VERB
ejpam-5987	66	40	that	that	SCONJ
ejpam-5987	66	41	p(y	p(y	PROPN
ejpam-5987	66	42	,	,	PUNCT
ejpam-5987	66	43	z	z	PROPN
ejpam-5987	66	44	,	,	PUNCT
ejpam-5987	66	45	t	t	PROPN
ejpam-5987	66	46	)	)	PUNCT
ejpam-5987	66	47	=	=	SYM
ejpam-5987	66	48	f1(z	f1(z	PROPN
ejpam-5987	66	49	,	,	PUNCT
ejpam-5987	66	50	t	t	PROPN
ejpam-5987	66	51	)	)	PUNCT
ejpam-5987	66	52	,	,	PUNCT
ejpam-5987	66	53	θ(y	θ(y	PROPN
ejpam-5987	66	54	,	,	PUNCT
ejpam-5987	66	55	z	z	PROPN
ejpam-5987	66	56	,	,	PUNCT
ejpam-5987	66	57	t	t	PROPN
ejpam-5987	66	58	)	)	PUNCT
ejpam-5987	67	1	=	=	SYM
ejpam-5987	67	2	f2(z	f2(z	PROPN
ejpam-5987	67	3	,	,	PUNCT
ejpam-5987	67	4	t	t	PROPN
ejpam-5987	67	5	)	)	PUNCT
ejpam-5987	67	6	,	,	PUNCT
ejpam-5987	67	7	q(y	q(y	PROPN
ejpam-5987	67	8	,	,	PUNCT
ejpam-5987	67	9	z	z	PROPN
ejpam-5987	67	10	,	,	PUNCT
ejpam-5987	67	11	t	t	PROPN
ejpam-5987	67	12	)	)	PUNCT
ejpam-5987	67	13	=	=	PUNCT
ejpam-5987	67	14	(	(	PUNCT
ejpam-5987	67	15	3f1z(z	3f1z(z	NUM
ejpam-5987	67	16	,	,	PUNCT
ejpam-5987	67	17	t	t	PROPN
ejpam-5987	67	18	)	)	PUNCT
ejpam-5987	67	19	2αf1(z	2αf1(z	NUM
ejpam-5987	67	20	,	,	PUNCT
ejpam-5987	67	21	t	t	PROPN
ejpam-5987	67	22	)	)	PUNCT
ejpam-5987	67	23	−	−	PROPN
ejpam-5987	68	1	3f2z(z	3f2z(z	NUM
ejpam-5987	68	2	,	,	PUNCT
ejpam-5987	68	3	t	t	PROPN
ejpam-5987	68	4	)	)	PUNCT
ejpam-5987	68	5	2α	2α	NOUN
ejpam-5987	68	6	)	)	PUNCT
ejpam-5987	68	7	y+λ(z	y+λ(z	PROPN
ejpam-5987	68	8	,	,	PUNCT
ejpam-5987	68	9	t	t	PROPN
ejpam-5987	68	10	)	)	PUNCT
ejpam-5987	68	11	,	,	PUNCT
ejpam-5987	68	12	(	(	PUNCT
ejpam-5987	68	13	8)	8)	X
ejpam-5987	68	14	then	then	ADV
ejpam-5987	68	15	the	the	DET
ejpam-5987	68	16	solution	solution	NOUN
ejpam-5987	68	17	of	of	ADP
ejpam-5987	68	18	eq.(1	eq.(1	ADJ
ejpam-5987	68	19	)	)	PUNCT
ejpam-5987	68	20	is	be	AUX
ejpam-5987	68	21	given	give	VERB
ejpam-5987	68	22	by	by	ADP
ejpam-5987	68	23	u(x	u(x	NOUN
ejpam-5987	68	24	,	,	PUNCT
ejpam-5987	68	25	y	y	PROPN
ejpam-5987	68	26	,	,	PUNCT
ejpam-5987	68	27	z	z	PROPN
ejpam-5987	68	28	,	,	PUNCT
ejpam-5987	68	29	t	t	PROPN
ejpam-5987	68	30	)	)	PUNCT
ejpam-5987	68	31	=	=	SYM
ejpam-5987	68	32	f1(z	f1(z	PROPN
ejpam-5987	68	33	,	,	PUNCT
ejpam-5987	68	34	t)g(t)e	t)g(t)e	PROPN
ejpam-5987	68	35	−αx−f2(z	−αx−f2(z	NOUN
ejpam-5987	68	36	,	,	PUNCT
ejpam-5987	68	37	t	t	PROPN
ejpam-5987	68	38	)	)	PUNCT
ejpam-5987	68	39	(	(	PUNCT
ejpam-5987	68	40	3f1z(z	3f1z(z	NUM
ejpam-5987	68	41	,	,	PUNCT
ejpam-5987	68	42	t	t	PROPN
ejpam-5987	68	43	)	)	PUNCT
ejpam-5987	68	44	2αf1(z	2αf1(z	NUM
ejpam-5987	68	45	,	,	PUNCT
ejpam-5987	68	46	t	t	PROPN
ejpam-5987	68	47	)	)	PUNCT
ejpam-5987	68	48	−	−	PROPN
ejpam-5987	69	1	3f2z(z	3f2z(z	NUM
ejpam-5987	69	2	,	,	PUNCT
ejpam-5987	69	3	t	t	PROPN
ejpam-5987	69	4	)	)	PUNCT
ejpam-5987	69	5	2α	2α	NOUN
ejpam-5987	69	6	)	)	PUNCT
ejpam-5987	70	1	y	y	PROPN
ejpam-5987	70	2	+	+	PROPN
ejpam-5987	70	3	λ(z	λ(z	PROPN
ejpam-5987	70	4	,	,	PUNCT
ejpam-5987	70	5	t	t	PROPN
ejpam-5987	70	6	)	)	PUNCT
ejpam-5987	70	7	.	.	PUNCT
ejpam-5987	71	1	(	(	PUNCT
ejpam-5987	71	2	9	9	X
ejpam-5987	71	3	)	)	PUNCT
ejpam-5987	71	4	proof	proof	NOUN
ejpam-5987	71	5	.	.	PUNCT
ejpam-5987	72	1	first	first	ADV
ejpam-5987	72	2	,	,	PUNCT
ejpam-5987	72	3	by	by	ADP
ejpam-5987	72	4	inserting	insert	VERB
ejpam-5987	72	5	the	the	DET
ejpam-5987	72	6	symbolic	symbolic	ADJ
ejpam-5987	72	7	structure	structure	NOUN
ejpam-5987	72	8	eq.(3	eq.(3	NOUN
ejpam-5987	72	9	)	)	PUNCT
ejpam-5987	72	10	into	into	ADP
ejpam-5987	72	11	eq.(1	eq.(1	ADJ
ejpam-5987	72	12	)	)	PUNCT
ejpam-5987	72	13	,	,	PUNCT
ejpam-5987	72	14	it	it	PRON
ejpam-5987	72	15	is	be	AUX
ejpam-5987	72	16	simplified	simplify	VERB
ejpam-5987	72	17	as	as	ADP
ejpam-5987	72	18	δ1φξξξξξ	δ1φξξξξξ	NOUN
ejpam-5987	72	19	+	+	CCONJ
ejpam-5987	72	20	δ2φξξξξ	δ2φξξξξ	NOUN
ejpam-5987	72	21	+	+	NOUN
ejpam-5987	72	22	δ3φξξξ	δ3φξξξ	NOUN
ejpam-5987	72	23	+	+	CCONJ
ejpam-5987	72	24	δ4φξξξφξ	δ4φξξξφξ	NOUN
ejpam-5987	72	25	+	+	CCONJ
ejpam-5987	72	26	δ5φξξξφ+	δ5φξξξφ+	ADJ
ejpam-5987	72	27	δ6φξξ	δ6φξξ	PROPN
ejpam-5987	72	28	+	+	CCONJ
ejpam-5987	72	29	δ7φξξφξ	δ7φξξφξ	NOUN
ejpam-5987	72	30	+	+	NUM
ejpam-5987	72	31	δ8φξ	δ8φξ	X
ejpam-5987	72	32	+	+	CCONJ
ejpam-5987	72	33	δ9φ	δ9φ	NOUN
ejpam-5987	72	34	2	2	NUM
ejpam-5987	72	35	ξξ	ξξ	ADP
ejpam-5987	72	36	+	+	CCONJ
ejpam-5987	72	37	δ10φξ	δ10φξ	PROPN
ejpam-5987	72	38	t	t	NOUN
ejpam-5987	73	1	+	+	CCONJ
ejpam-5987	73	2	δ11φξξ	δ11φξξ	PROPN
ejpam-5987	73	3	t	t	NOUN
ejpam-5987	73	4	=	=	SYM
ejpam-5987	73	5	0	0	NUM
ejpam-5987	73	6	,	,	PUNCT
ejpam-5987	73	7	(	(	PUNCT
ejpam-5987	73	8	10	10	NUM
ejpam-5987	73	9	)	)	PUNCT
ejpam-5987	73	10	where	where	SCONJ
ejpam-5987	73	11	δ1	δ1	NOUN
ejpam-5987	73	12	=	=	PUNCT
ejpam-5987	73	13	−pθyα	−pθyα	VERB
ejpam-5987	73	14	4	4	NUM
ejpam-5987	73	15	,	,	PUNCT
ejpam-5987	73	16	δ2	δ2	VERB
ejpam-5987	73	17	=	=	PUNCT
ejpam-5987	73	18	−pyα	−pyα	NOUN
ejpam-5987	73	19	4	4	NUM
ejpam-5987	73	20	,	,	PUNCT
ejpam-5987	73	21	δ3	δ3	PROPN
ejpam-5987	73	22	=	=	PUNCT
ejpam-5987	73	23	pα	pα	INTJ
ejpam-5987	73	24	(	(	PUNCT
ejpam-5987	73	25	2qyα	2qyα	NUM
ejpam-5987	73	26	2	2	NUM
ejpam-5987	73	27	−	−	NOUN
ejpam-5987	73	28	2θyθt	2θyθt	NUM
ejpam-5987	73	29	+	+	CCONJ
ejpam-5987	73	30	3αθz	3αθz	NUM
ejpam-5987	73	31	)	)	PUNCT
ejpam-5987	73	32	,	,	PUNCT
ejpam-5987	73	33	δ4	δ4	NOUN
ejpam-5987	73	34	=	=	SYM
ejpam-5987	73	35	4p2θyα	4p2θyα	PROPN
ejpam-5987	73	36	3	3	NUM
ejpam-5987	73	37	,	,	PUNCT
ejpam-5987	73	38	δ5	δ5	NOUN
ejpam-5987	73	39	=	=	PUNCT
ejpam-5987	73	40	2ppyα	2ppyα	NUM
ejpam-5987	73	41	3	3	NUM
ejpam-5987	73	42	,	,	PUNCT
ejpam-5987	73	43	δ6	δ6	NOUN
ejpam-5987	73	44	=	=	PUNCT
ejpam-5987	74	1	−2pαθty	−2pαθty	VERB
ejpam-5987	74	2	−	−	PROPN
ejpam-5987	74	3	2θtαpy	2θtαpy	NUM
ejpam-5987	75	1	+	+	NUM
ejpam-5987	75	2	3pzα	3pzα	NUM
ejpam-5987	75	3	2	2	NUM
ejpam-5987	75	4	−	−	NOUN
ejpam-5987	75	5	2ptαθy	2ptαθy	NUM
ejpam-5987	75	6	,	,	PUNCT
ejpam-5987	75	7	δ7	δ7	NOUN
ejpam-5987	75	8	=	=	SYM
ejpam-5987	75	9	6α3ppy	6α3ppy	PROPN
ejpam-5987	75	10	,	,	PUNCT
ejpam-5987	75	11	δ8	δ8	NOUN
ejpam-5987	75	12	=	=	SYM
ejpam-5987	75	13	−2αpty	−2αpty	X
ejpam-5987	75	14	,	,	PUNCT
ejpam-5987	75	15	δ9	δ9	NOUN
ejpam-5987	75	16	=	=	SYM
ejpam-5987	75	17	4p2θyα	4p2θyα	PROPN
ejpam-5987	75	18	3	3	NUM
ejpam-5987	75	19	,	,	PUNCT
ejpam-5987	75	20	δ10	δ10	NOUN
ejpam-5987	75	21	=	=	SYM
ejpam-5987	75	22	−2αpy	−2αpy	NOUN
ejpam-5987	75	23	,	,	PUNCT
ejpam-5987	75	24	δ11	δ11	X
ejpam-5987	75	25	=	=	SYM
ejpam-5987	75	26	−2αpθy	−2αpθy	PROPN
ejpam-5987	75	27	.	.	PUNCT
ejpam-5987	76	1	(	(	PUNCT
ejpam-5987	76	2	11	11	NUM
ejpam-5987	76	3	)	)	PUNCT
ejpam-5987	76	4	at	at	ADP
ejpam-5987	76	5	this	this	DET
ejpam-5987	76	6	point	point	NOUN
ejpam-5987	76	7	,	,	PUNCT
ejpam-5987	76	8	we	we	PRON
ejpam-5987	76	9	are	be	AUX
ejpam-5987	76	10	seeking	seek	VERB
ejpam-5987	76	11	the	the	DET
ejpam-5987	76	12	criteria	criterion	NOUN
ejpam-5987	76	13	that	that	PRON
ejpam-5987	76	14	would	would	AUX
ejpam-5987	76	15	transform	transform	VERB
ejpam-5987	76	16	eq.(10	eq.(10	ADJ
ejpam-5987	76	17	)	)	PUNCT
ejpam-5987	76	18	into	into	ADP
ejpam-5987	76	19	a	a	DET
ejpam-5987	76	20	more	more	ADV
ejpam-5987	76	21	straightforward	straightforward	ADJ
ejpam-5987	76	22	and	and	CCONJ
ejpam-5987	76	23	solvable	solvable	ADJ
ejpam-5987	76	24	form	form	NOUN
ejpam-5987	76	25	.	.	PUNCT
ejpam-5987	77	1	to	to	PART
ejpam-5987	77	2	accomplish	accomplish	VERB
ejpam-5987	77	3	this	this	PRON
ejpam-5987	77	4	,	,	PUNCT
ejpam-5987	77	5	we	we	PRON
ejpam-5987	77	6	need	need	VERB
ejpam-5987	77	7	to	to	PART
ejpam-5987	77	8	analyze	analyze	VERB
ejpam-5987	77	9	the	the	DET
ejpam-5987	77	10	scenario	scenario	NOUN
ejpam-5987	77	11	in	in	ADP
ejpam-5987	77	12	which	which	PRON
ejpam-5987	77	13	the	the	DET
ejpam-5987	77	14	term	term	NOUN
ejpam-5987	77	15	φξξξ	φξξξ	VERB
ejpam-5987	77	16	in	in	ADP
ejpam-5987	77	17	eq.(10	eq.(10	NOUN
ejpam-5987	77	18	)	)	PUNCT
ejpam-5987	77	19	is	be	AUX
ejpam-5987	77	20	removed	remove	VERB
ejpam-5987	77	21	.	.	PUNCT
ejpam-5987	78	1	this	this	PRON
ejpam-5987	78	2	leads	lead	VERB
ejpam-5987	78	3	us	we	PRON
ejpam-5987	78	4	to	to	PART
ejpam-5987	78	5	set	set	VERB
ejpam-5987	78	6	δ3	δ3	PROPN
ejpam-5987	78	7	=	=	SYM
ejpam-5987	78	8	0	0	NUM
ejpam-5987	78	9	,	,	PUNCT
ejpam-5987	78	10	resulting	result	VERB
ejpam-5987	78	11	in	in	ADP
ejpam-5987	78	12	q(y	q(y	NOUN
ejpam-5987	78	13	,	,	PUNCT
ejpam-5987	78	14	z	z	PROPN
ejpam-5987	78	15	,	,	PUNCT
ejpam-5987	78	16	t	t	PROPN
ejpam-5987	78	17	)	)	PUNCT
ejpam-5987	78	18	=	=	SYM
ejpam-5987	79	1	1	1	NUM
ejpam-5987	79	2	2α2	2α2	NUM
ejpam-5987	79	3	∫	∫	NOUN
ejpam-5987	79	4	(	(	PUNCT
ejpam-5987	79	5	2θyθt	2θyθt	NUM
ejpam-5987	79	6	−	−	X
ejpam-5987	79	7	3αθz)dy	3αθz)dy	NUM
ejpam-5987	79	8	+	+	NUM
ejpam-5987	79	9	λ(z	λ(z	NOUN
ejpam-5987	79	10	,	,	PUNCT
ejpam-5987	79	11	t	t	PROPN
ejpam-5987	79	12	)	)	PUNCT
ejpam-5987	79	13	.	.	PUNCT
ejpam-5987	80	1	(	(	PUNCT
ejpam-5987	80	2	12	12	NUM
ejpam-5987	80	3	)	)	PUNCT
ejpam-5987	80	4	as	as	ADP
ejpam-5987	80	5	the	the	DET
ejpam-5987	80	6	first	first	ADJ
ejpam-5987	80	7	assumption	assumption	NOUN
ejpam-5987	80	8	,	,	PUNCT
ejpam-5987	80	9	we	we	PRON
ejpam-5987	80	10	consider	consider	VERB
ejpam-5987	80	11	the	the	DET
ejpam-5987	80	12	case	case	NOUN
ejpam-5987	80	13	of	of	ADP
ejpam-5987	80	14	py	py	PROPN
ejpam-5987	80	15	=	=	PROPN
ejpam-5987	80	16	pz	pz	PROPN
ejpam-5987	80	17	=	=	SYM
ejpam-5987	80	18	pt	pt	PROPN
ejpam-5987	81	1	=	=	SYM
ejpam-5987	81	2	0	0	PROPN
ejpam-5987	81	3	.	.	PUNCT
ejpam-5987	82	1	without	without	ADP
ejpam-5987	82	2	loss	loss	NOUN
ejpam-5987	82	3	of	of	ADP
ejpam-5987	82	4	generality	generality	NOUN
ejpam-5987	82	5	,	,	PUNCT
ejpam-5987	82	6	it	it	PRON
ejpam-5987	82	7	can	can	AUX
ejpam-5987	82	8	be	be	AUX
ejpam-5987	82	9	assumed	assume	VERB
ejpam-5987	82	10	that	that	SCONJ
ejpam-5987	82	11	p(y	p(y	PROPN
ejpam-5987	82	12	,	,	PUNCT
ejpam-5987	82	13	z	z	PROPN
ejpam-5987	82	14	,	,	PUNCT
ejpam-5987	82	15	t	t	PROPN
ejpam-5987	82	16	)	)	PUNCT
ejpam-5987	82	17	=	=	SYM
ejpam-5987	83	1	1	1	X
ejpam-5987	83	2	.	.	PUNCT
ejpam-5987	83	3	a	a	DET
ejpam-5987	83	4	direct	direct	ADJ
ejpam-5987	83	5	consequence	consequence	NOUN
ejpam-5987	83	6	of	of	ADP
ejpam-5987	83	7	this	this	DET
ejpam-5987	83	8	assumption	assumption	NOUN
ejpam-5987	83	9	is	be	AUX
ejpam-5987	83	10	that	that	SCONJ
ejpam-5987	83	11	δ2	δ2	VERB
ejpam-5987	83	12	=	=	PUNCT
ejpam-5987	83	13	δ5	δ5	NOUN
ejpam-5987	83	14	=	=	NOUN
ejpam-5987	83	15	δ7	δ7	NOUN
ejpam-5987	83	16	=	=	SYM
ejpam-5987	83	17	δ8	δ8	NOUN
ejpam-5987	83	18	=	=	PUNCT
ejpam-5987	83	19	δ10	δ10	NOUN
ejpam-5987	83	20	=	=	NOUN
ejpam-5987	83	21	0	0	X
ejpam-5987	83	22	.	.	PUNCT
ejpam-5987	84	1	further	far	ADV
ejpam-5987	84	2	,	,	PUNCT
ejpam-5987	84	3	eq.(10	eq.(10	ADJ
ejpam-5987	84	4	)	)	PUNCT
ejpam-5987	84	5	reduces	reduce	VERB
ejpam-5987	84	6	to	to	PART
ejpam-5987	84	7	−θyα	−θyα	VERB
ejpam-5987	84	8	3φξξξξξ	3φξξξξξ	NUM
ejpam-5987	85	1	+	+	NUM
ejpam-5987	85	2	4α2θyφξξξφξ	4α2θyφξξξφξ	NOUN
ejpam-5987	85	3	−	−	PROPN
ejpam-5987	86	1	2θtyφξξ	2θtyφξξ	NUM
ejpam-5987	86	2	+	+	NOUN
ejpam-5987	86	3	4α2θyφ	4α2θyφ	PROPN
ejpam-5987	86	4	2	2	NUM
ejpam-5987	86	5	ξξ	ξξ	NOUN
ejpam-5987	86	6	−	−	NOUN
ejpam-5987	87	1	2θyφξξt	2θyφξξt	PROPN
ejpam-5987	87	2	=	=	SYM
ejpam-5987	87	3	0	0	PROPN
ejpam-5987	87	4	.	.	PUNCT
ejpam-5987	88	1	(	(	PUNCT
ejpam-5987	88	2	13	13	NUM
ejpam-5987	88	3	)	)	PUNCT
ejpam-5987	88	4	by	by	ADP
ejpam-5987	88	5	executing	execute	VERB
ejpam-5987	88	6	a	a	DET
ejpam-5987	88	7	double	double	ADJ
ejpam-5987	88	8	integration	integration	NOUN
ejpam-5987	88	9	of	of	ADP
ejpam-5987	88	10	eq.(13	eq.(13	NOUN
ejpam-5987	88	11	)	)	PUNCT
ejpam-5987	88	12	with	with	ADP
ejpam-5987	88	13	respect	respect	NOUN
ejpam-5987	88	14	to	to	ADP
ejpam-5987	88	15	ξ	ξ	NUM
ejpam-5987	88	16	,	,	PUNCT
ejpam-5987	88	17	and	and	CCONJ
ejpam-5987	88	18	then	then	ADV
ejpam-5987	88	19	eliminating	eliminate	VERB
ejpam-5987	88	20	the	the	DET
ejpam-5987	88	21	resulting	result	VERB
ejpam-5987	88	22	integral	integral	ADJ
ejpam-5987	88	23	along	along	ADV
ejpam-5987	88	24	with	with	ADP
ejpam-5987	88	25	applying	apply	VERB
ejpam-5987	88	26	some	some	DET
ejpam-5987	88	27	simple	simple	ADJ
ejpam-5987	88	28	algebraic	algebraic	ADJ
ejpam-5987	88	29	rearrangements	rearrangement	NOUN
ejpam-5987	88	30	,	,	PUNCT
ejpam-5987	88	31	we	we	PRON
ejpam-5987	88	32	obtain	obtain	VERB
ejpam-5987	88	33	the	the	DET
ejpam-5987	88	34	following	follow	VERB
ejpam-5987	88	35	equation	equation	NOUN
ejpam-5987	88	36	θy	θy	X
ejpam-5987	88	37	(	(	PUNCT
ejpam-5987	88	38	α3φξξξ	α3φξξξ	NOUN
ejpam-5987	88	39	−	−	PROPN
ejpam-5987	89	1	2α2φ2	2α2φ2	NUM
ejpam-5987	89	2	ξ	ξ	PROPN
ejpam-5987	89	3	+	+	NUM
ejpam-5987	89	4	2φt	2φt	NOUN
ejpam-5987	89	5	)	)	PUNCT
ejpam-5987	90	1	+	+	CCONJ
ejpam-5987	90	2	2θtyφ	2θtyφ	NUM
ejpam-5987	90	3	=	=	SYM
ejpam-5987	90	4	0	0	NUM
ejpam-5987	90	5	.	.	PUNCT
ejpam-5987	91	1	(	(	PUNCT
ejpam-5987	91	2	14	14	NUM
ejpam-5987	91	3	)	)	PUNCT
ejpam-5987	91	4	(	(	PUNCT
ejpam-5987	91	5	i	i	NOUN
ejpam-5987	91	6	)	)	PUNCT
ejpam-5987	91	7	by	by	ADP
ejpam-5987	91	8	setting	set	VERB
ejpam-5987	91	9	θy	θy	ADP
ejpam-5987	91	10	=	=	SYM
ejpam-5987	91	11	0	0	NUM
ejpam-5987	91	12	,	,	PUNCT
ejpam-5987	91	13	the	the	DET
ejpam-5987	91	14	entire	entire	ADJ
ejpam-5987	91	15	equation	equation	NOUN
ejpam-5987	91	16	(	(	PUNCT
ejpam-5987	91	17	14	14	NUM
ejpam-5987	91	18	)	)	PUNCT
ejpam-5987	91	19	simplifies	simplifie	NOUN
ejpam-5987	91	20	to	to	ADP
ejpam-5987	91	21	zero	zero	NUM
ejpam-5987	91	22	,	,	PUNCT
ejpam-5987	91	23	resulting	result	VERB
ejpam-5987	91	24	in	in	ADP
ejpam-5987	91	25	the	the	DET
ejpam-5987	91	26	following	follow	VERB
ejpam-5987	91	27	conclusion	conclusion	NOUN
ejpam-5987	91	28	θ	θ	PROPN
ejpam-5987	91	29	(	(	PUNCT
ejpam-5987	91	30	y	y	PROPN
ejpam-5987	91	31	,	,	PUNCT
ejpam-5987	91	32	z	z	PROPN
ejpam-5987	91	33	,	,	PUNCT
ejpam-5987	91	34	t	t	PROPN
ejpam-5987	91	35	)	)	PUNCT
ejpam-5987	91	36	=	=	SYM
ejpam-5987	91	37	f1(z	f1(z	PROPN
ejpam-5987	91	38	,	,	PUNCT
ejpam-5987	91	39	t	t	PROPN
ejpam-5987	91	40	)	)	PUNCT
ejpam-5987	91	41	.	.	PUNCT
ejpam-5987	92	1	(	(	PUNCT
ejpam-5987	92	2	15	15	X
ejpam-5987	92	3	)	)	PUNCT
ejpam-5987	92	4	furthermore	furthermore	ADV
ejpam-5987	92	5	,	,	PUNCT
ejpam-5987	92	6	by	by	ADP
ejpam-5987	92	7	substituting	substitute	VERB
ejpam-5987	92	8	eq.(15	eq.(15	NOUN
ejpam-5987	92	9	)	)	PUNCT
ejpam-5987	92	10	into	into	ADP
ejpam-5987	92	11	eq.(12	eq.(12	PROPN
ejpam-5987	92	12	)	)	PUNCT
ejpam-5987	92	13	,	,	PUNCT
ejpam-5987	92	14	the	the	DET
ejpam-5987	92	15	solution	solution	NOUN
ejpam-5987	92	16	is	be	AUX
ejpam-5987	92	17	simplified	simplify	VERB
ejpam-5987	92	18	to	to	ADP
ejpam-5987	92	19	q(y	q(y	PROPN
ejpam-5987	92	20	,	,	PUNCT
ejpam-5987	92	21	z	z	PROPN
ejpam-5987	92	22	,	,	PUNCT
ejpam-5987	92	23	t	t	PROPN
ejpam-5987	92	24	)	)	PUNCT
ejpam-5987	92	25	=	=	SYM
ejpam-5987	93	1	−3f1z(z	−3f1z(z	PROPN
ejpam-5987	93	2	,	,	PUNCT
ejpam-5987	93	3	t	t	PROPN
ejpam-5987	93	4	)	)	PUNCT
ejpam-5987	93	5	2α	2α	NOUN
ejpam-5987	93	6	y	y	PROPN
ejpam-5987	93	7	+	+	CCONJ
ejpam-5987	93	8	λ(z	λ(z	PROPN
ejpam-5987	93	9	,	,	PUNCT
ejpam-5987	93	10	t	t	PROPN
ejpam-5987	93	11	)	)	PUNCT
ejpam-5987	93	12	.	.	PUNCT
ejpam-5987	94	1	(	(	PUNCT
ejpam-5987	94	2	16	16	NUM
ejpam-5987	94	3	)	)	PUNCT
ejpam-5987	94	4	s.	s.	PROPN
ejpam-5987	94	5	a.	a.	PROPN
ejpam-5987	94	6	m.	m.	PROPN
ejpam-5987	94	7	alsallami	alsallami	PROPN
ejpam-5987	94	8	,	,	PUNCT
ejpam-5987	94	9	m.	m.	NOUN
ejpam-5987	94	10	alkinidri	alkinidri	PROPN
ejpam-5987	94	11	/	/	SYM
ejpam-5987	94	12	eur	eur	PROPN
ejpam-5987	94	13	.	.	PUNCT
ejpam-5987	95	1	j.	j.	PROPN
ejpam-5987	95	2	pure	pure	PROPN
ejpam-5987	95	3	appl	appl	PROPN
ejpam-5987	95	4	.	.	PROPN
ejpam-5987	95	5	math	math	PROPN
ejpam-5987	95	6	,	,	PUNCT
ejpam-5987	95	7	18	18	NUM
ejpam-5987	95	8	(	(	PUNCT
ejpam-5987	95	9	2	2	NUM
ejpam-5987	95	10	)	)	PUNCT
ejpam-5987	95	11	(	(	PUNCT
ejpam-5987	95	12	2025	2025	NUM
ejpam-5987	95	13	)	)	PUNCT
ejpam-5987	95	14	,	,	PUNCT
ejpam-5987	95	15	5987	5987	NUM
ejpam-5987	95	16	5	5	NUM
ejpam-5987	95	17	of	of	ADP
ejpam-5987	95	18	22	22	NUM
ejpam-5987	95	19	thus	thus	ADV
ejpam-5987	95	20	,	,	PUNCT
ejpam-5987	95	21	a	a	DET
ejpam-5987	95	22	general	general	ADJ
ejpam-5987	95	23	non	non	ADJ
ejpam-5987	95	24	-	-	ADJ
ejpam-5987	95	25	soliton	soliton	ADJ
ejpam-5987	95	26	wave	wave	NOUN
ejpam-5987	95	27	solution	solution	NOUN
ejpam-5987	95	28	for	for	ADP
ejpam-5987	95	29	eq.(1	eq.(1	ADJ
ejpam-5987	95	30	)	)	PUNCT
ejpam-5987	95	31	is	be	AUX
ejpam-5987	95	32	obtained	obtain	VERB
ejpam-5987	95	33	as	as	SCONJ
ejpam-5987	95	34	follows	follow	VERB
ejpam-5987	95	35	u(x	u(x	NOUN
ejpam-5987	95	36	,	,	PUNCT
ejpam-5987	95	37	y	y	PROPN
ejpam-5987	95	38	,	,	PUNCT
ejpam-5987	95	39	z	z	PROPN
ejpam-5987	95	40	,	,	PUNCT
ejpam-5987	95	41	t	t	PROPN
ejpam-5987	95	42	)	)	PUNCT
ejpam-5987	95	43	=	=	PRON
ejpam-5987	96	1	φ(αx+	φ(αx+	NUM
ejpam-5987	96	2	f1(z	f1(z	PROPN
ejpam-5987	96	3	,	,	PUNCT
ejpam-5987	96	4	t	t	PROPN
ejpam-5987	96	5	)	)	PUNCT
ejpam-5987	96	6	,	,	PUNCT
ejpam-5987	96	7	t)−	t)−	PROPN
ejpam-5987	96	8	3	3	NUM
ejpam-5987	96	9	(	(	PUNCT
ejpam-5987	96	10	∂	∂	NUM
ejpam-5987	96	11	∂zf1(z	∂zf1(z	PROPN
ejpam-5987	96	12	,	,	PUNCT
ejpam-5987	96	13	t	t	PROPN
ejpam-5987	96	14	)	)	PUNCT
ejpam-5987	96	15	)	)	PUNCT
ejpam-5987	97	1	y	y	PROPN
ejpam-5987	97	2	2α	2α	NOUN
ejpam-5987	97	3	+	+	CCONJ
ejpam-5987	97	4	λ(z	λ(z	NOUN
ejpam-5987	97	5	,	,	PUNCT
ejpam-5987	97	6	t	t	PROPN
ejpam-5987	97	7	)	)	PUNCT
ejpam-5987	97	8	,	,	PUNCT
ejpam-5987	97	9	(	(	PUNCT
ejpam-5987	97	10	17	17	NUM
ejpam-5987	97	11	)	)	PUNCT
ejpam-5987	97	12	where	where	SCONJ
ejpam-5987	97	13	φ	φ	NOUN
ejpam-5987	97	14	,	,	PUNCT
ejpam-5987	97	15	f1	f1	NOUN
ejpam-5987	97	16	,	,	PUNCT
ejpam-5987	97	17	and	and	CCONJ
ejpam-5987	97	18	λ	λ	NOUN
ejpam-5987	97	19	are	be	AUX
ejpam-5987	97	20	arbitrary	arbitrary	ADJ
ejpam-5987	97	21	continuous	continuous	ADJ
ejpam-5987	97	22	two	two	NUM
ejpam-5987	97	23	-	-	PUNCT
ejpam-5987	97	24	variable	variable	NOUN
ejpam-5987	97	25	functions	function	NOUN
ejpam-5987	97	26	.	.	PUNCT
ejpam-5987	98	1	(	(	PUNCT
ejpam-5987	98	2	ii	ii	NOUN
ejpam-5987	98	3	)	)	PUNCT
ejpam-5987	98	4	to	to	PART
ejpam-5987	98	5	further	far	ADV
ejpam-5987	98	6	simplify	simplify	VERB
ejpam-5987	98	7	eq.(14	eq.(14	NOUN
ejpam-5987	98	8	)	)	PUNCT
ejpam-5987	98	9	,	,	PUNCT
ejpam-5987	98	10	let	let	VERB
ejpam-5987	98	11	us	we	PRON
ejpam-5987	98	12	consider	consider	VERB
ejpam-5987	98	13	θty	θty	NOUN
ejpam-5987	98	14	=	=	SYM
ejpam-5987	98	15	0	0	NUM
ejpam-5987	98	16	,	,	PUNCT
ejpam-5987	98	17	which	which	PRON
ejpam-5987	98	18	implies	imply	VERB
ejpam-5987	98	19	θ	θ	PROPN
ejpam-5987	98	20	(	(	PUNCT
ejpam-5987	98	21	y	y	PROPN
ejpam-5987	98	22	,	,	PUNCT
ejpam-5987	98	23	z	z	PROPN
ejpam-5987	98	24	,	,	PUNCT
ejpam-5987	98	25	t	t	PROPN
ejpam-5987	98	26	)	)	PUNCT
ejpam-5987	99	1	=	=	SYM
ejpam-5987	99	2	f1(z	f1(z	PROPN
ejpam-5987	99	3	,	,	PUNCT
ejpam-5987	99	4	t	t	PROPN
ejpam-5987	99	5	)	)	PUNCT
ejpam-5987	99	6	+	+	CCONJ
ejpam-5987	99	7	f2(y	f2(y	PROPN
ejpam-5987	99	8	,	,	PUNCT
ejpam-5987	99	9	z	z	NOUN
ejpam-5987	99	10	)	)	PUNCT
ejpam-5987	99	11	.	.	PUNCT
ejpam-5987	100	1	(	(	PUNCT
ejpam-5987	100	2	18	18	NUM
ejpam-5987	100	3	)	)	PUNCT
ejpam-5987	100	4	inserting	insert	VERB
ejpam-5987	100	5	eq.(18	eq.(18	NOUN
ejpam-5987	100	6	)	)	PUNCT
ejpam-5987	100	7	into	into	ADP
ejpam-5987	100	8	eq.(12	eq.(12	PROPN
ejpam-5987	100	9	)	)	PUNCT
ejpam-5987	100	10	,	,	PUNCT
ejpam-5987	100	11	the	the	DET
ejpam-5987	100	12	solution	solution	NOUN
ejpam-5987	100	13	becomes	become	VERB
ejpam-5987	100	14	q(y	q(y	PROPN
ejpam-5987	100	15	,	,	PUNCT
ejpam-5987	100	16	z	z	PROPN
ejpam-5987	100	17	,	,	PUNCT
ejpam-5987	100	18	t	t	PROPN
ejpam-5987	100	19	)	)	PUNCT
ejpam-5987	100	20	=	=	SYM
ejpam-5987	101	1	−3f1z(z	−3f1z(z	NOUN
ejpam-5987	101	2	,	,	PUNCT
ejpam-5987	101	3	t)αy	t)αy	PROPN
ejpam-5987	101	4	−	−	PROPN
ejpam-5987	101	5	3	3	NUM
ejpam-5987	101	6	(	(	PUNCT
ejpam-5987	101	7	∫	∫	PROPN
ejpam-5987	101	8	f2z(y	f2z(y	PROPN
ejpam-5987	101	9	,	,	PUNCT
ejpam-5987	101	10	z	z	NOUN
ejpam-5987	101	11	)	)	PUNCT
ejpam-5987	101	12	dy	dy	NOUN
ejpam-5987	101	13	)	)	PUNCT
ejpam-5987	101	14	α+	α+	PRON
ejpam-5987	101	15	2f2(y	2f2(y	NUM
ejpam-5987	101	16	,	,	PUNCT
ejpam-5987	101	17	z	z	NOUN
ejpam-5987	101	18	)	)	PUNCT
ejpam-5987	101	19	f1t(z	f1t(z	PROPN
ejpam-5987	101	20	,	,	PUNCT
ejpam-5987	101	21	t	t	PROPN
ejpam-5987	101	22	)	)	PUNCT
ejpam-5987	101	23	2α2	2α2	NUM
ejpam-5987	102	1	+	+	CCONJ
ejpam-5987	102	2	λ(z	λ(z	NOUN
ejpam-5987	102	3	,	,	PUNCT
ejpam-5987	102	4	t	t	PROPN
ejpam-5987	102	5	)	)	PUNCT
ejpam-5987	102	6	.	.	PUNCT
ejpam-5987	103	1	(	(	PUNCT
ejpam-5987	103	2	19	19	NUM
ejpam-5987	103	3	)	)	PUNCT
ejpam-5987	103	4	furthermore	furthermore	ADV
ejpam-5987	103	5	,	,	PUNCT
ejpam-5987	103	6	eq.(14	eq.(14	NOUN
ejpam-5987	103	7	)	)	PUNCT
ejpam-5987	103	8	is	be	AUX
ejpam-5987	103	9	expressed	express	VERB
ejpam-5987	103	10	in	in	ADP
ejpam-5987	103	11	a	a	DET
ejpam-5987	103	12	simpler	simple	ADJ
ejpam-5987	103	13	form	form	NOUN
ejpam-5987	103	14	as	as	SCONJ
ejpam-5987	103	15	follows	follow	VERB
ejpam-5987	103	16	α3φξξξ	α3φξξξ	NOUN
ejpam-5987	103	17	−	−	NUM
ejpam-5987	104	1	2α2φ2	2α2φ2	NUM
ejpam-5987	104	2	ξ	ξ	PROPN
ejpam-5987	105	1	+	+	NUM
ejpam-5987	105	2	2φt	2φt	NOUN
ejpam-5987	105	3	=	=	SYM
ejpam-5987	105	4	0	0	X
ejpam-5987	105	5	.	.	PUNCT
ejpam-5987	106	1	(	(	PUNCT
ejpam-5987	106	2	20	20	NUM
ejpam-5987	106	3	)	)	PUNCT
ejpam-5987	106	4	(	(	PUNCT
ejpam-5987	106	5	iii	iii	NOUN
ejpam-5987	106	6	)	)	PUNCT
ejpam-5987	106	7	here	here	ADV
ejpam-5987	106	8	,	,	PUNCT
ejpam-5987	106	9	we	we	PRON
ejpam-5987	106	10	consider	consider	VERB
ejpam-5987	106	11	another	another	DET
ejpam-5987	106	12	way	way	NOUN
ejpam-5987	106	13	of	of	ADP
ejpam-5987	106	14	simplifying	simplify	VERB
ejpam-5987	106	15	eq.(10	eq.(10	ADJ
ejpam-5987	106	16	)	)	PUNCT
ejpam-5987	106	17	,	,	PUNCT
ejpam-5987	106	18	as	as	SCONJ
ejpam-5987	106	19	py	py	PROPN
ejpam-5987	106	20	=	=	SYM
ejpam-5987	106	21	θy	θy	ADJ
ejpam-5987	106	22	=	=	SYM
ejpam-5987	106	23	0	0	NUM
ejpam-5987	106	24	,	,	PUNCT
ejpam-5987	106	25	or	or	CCONJ
ejpam-5987	106	26	equivalently	equivalently	ADV
ejpam-5987	106	27	p(y	p(y	PROPN
ejpam-5987	106	28	,	,	PUNCT
ejpam-5987	106	29	z	z	PROPN
ejpam-5987	106	30	,	,	PUNCT
ejpam-5987	106	31	t	t	PROPN
ejpam-5987	106	32	)	)	PUNCT
ejpam-5987	106	33	=	=	SYM
ejpam-5987	106	34	f1(z	f1(z	PROPN
ejpam-5987	106	35	,	,	PUNCT
ejpam-5987	106	36	t	t	PROPN
ejpam-5987	106	37	)	)	PUNCT
ejpam-5987	106	38	,	,	PUNCT
ejpam-5987	106	39	θ(y	θ(y	PROPN
ejpam-5987	106	40	,	,	PUNCT
ejpam-5987	106	41	z	z	PROPN
ejpam-5987	106	42	,	,	PUNCT
ejpam-5987	106	43	t	t	PROPN
ejpam-5987	106	44	)	)	PUNCT
ejpam-5987	106	45	=	=	SYM
ejpam-5987	106	46	f2(z	f2(z	PROPN
ejpam-5987	106	47	,	,	PUNCT
ejpam-5987	106	48	t	t	PROPN
ejpam-5987	106	49	)	)	PUNCT
ejpam-5987	106	50	,	,	PUNCT
ejpam-5987	106	51	(	(	PUNCT
ejpam-5987	106	52	21	21	NUM
ejpam-5987	106	53	)	)	PUNCT
ejpam-5987	106	54	f1	f1	NOUN
ejpam-5987	106	55	and	and	CCONJ
ejpam-5987	106	56	f2	f2	PROPN
ejpam-5987	106	57	are	be	AUX
ejpam-5987	106	58	arbitrary	arbitrary	ADJ
ejpam-5987	106	59	continuous	continuous	ADJ
ejpam-5987	106	60	functions	function	NOUN
ejpam-5987	106	61	.	.	PUNCT
ejpam-5987	107	1	then	then	ADV
ejpam-5987	107	2	eq.(10	eq.(10	NOUN
ejpam-5987	107	3	)	)	PUNCT
ejpam-5987	107	4	reduces	reduce	VERB
ejpam-5987	107	5	to	to	ADP
ejpam-5987	107	6	p	p	NOUN
ejpam-5987	107	7	(	(	PUNCT
ejpam-5987	107	8	2qyα+	2qyα+	NUM
ejpam-5987	107	9	3θz)φξξξ	3θz)φξξξ	NUM
ejpam-5987	107	10	+	+	PROPN
ejpam-5987	107	11	3pzφξξ	3pzφξξ	NUM
ejpam-5987	107	12	=	=	SYM
ejpam-5987	107	13	0	0	NUM
ejpam-5987	107	14	.	.	PUNCT
ejpam-5987	108	1	(	(	PUNCT
ejpam-5987	108	2	22	22	NUM
ejpam-5987	108	3	)	)	PUNCT
ejpam-5987	108	4	further	far	ADV
ejpam-5987	108	5	,	,	PUNCT
ejpam-5987	108	6	we	we	PRON
ejpam-5987	108	7	integrate	integrate	VERB
ejpam-5987	108	8	eq.(22	eq.(22	NOUN
ejpam-5987	108	9	)	)	PUNCT
ejpam-5987	108	10	once	once	ADV
ejpam-5987	108	11	with	with	ADP
ejpam-5987	108	12	respect	respect	NOUN
ejpam-5987	108	13	to	to	ADP
ejpam-5987	108	14	ξ	ξ	PROPN
ejpam-5987	108	15	and	and	CCONJ
ejpam-5987	108	16	null	null	ADJ
ejpam-5987	108	17	the	the	DET
ejpam-5987	108	18	integral	integral	ADJ
ejpam-5987	108	19	constant	constant	NOUN
ejpam-5987	108	20	as	as	ADP
ejpam-5987	108	21	p	p	NOUN
ejpam-5987	108	22	(	(	PUNCT
ejpam-5987	108	23	2qyα+	2qyα+	NUM
ejpam-5987	108	24	3θz)φξ	3θz)φξ	NOUN
ejpam-5987	108	25	+	+	CCONJ
ejpam-5987	108	26	3pzφ	3pzφ	NUM
ejpam-5987	108	27	=	=	SYM
ejpam-5987	108	28	0	0	NUM
ejpam-5987	108	29	.	.	PUNCT
ejpam-5987	109	1	(	(	PUNCT
ejpam-5987	109	2	23	23	NUM
ejpam-5987	109	3	)	)	PUNCT
ejpam-5987	109	4	now	now	ADV
ejpam-5987	109	5	,	,	PUNCT
ejpam-5987	109	6	if	if	SCONJ
ejpam-5987	109	7	we	we	PRON
ejpam-5987	109	8	assume	assume	VERB
ejpam-5987	109	9	that	that	SCONJ
ejpam-5987	109	10	p	p	X
ejpam-5987	109	11	(	(	PUNCT
ejpam-5987	109	12	2qyα+	2qyα+	NOUN
ejpam-5987	109	13	3θz	3θz	ADJ
ejpam-5987	109	14	)	)	PUNCT
ejpam-5987	109	15	=	=	SYM
ejpam-5987	109	16	3pz	3pz	NOUN
ejpam-5987	109	17	and	and	CCONJ
ejpam-5987	109	18	thanks	thank	NOUN
ejpam-5987	109	19	to	to	ADP
ejpam-5987	109	20	(	(	PUNCT
ejpam-5987	109	21	19	19	NUM
ejpam-5987	109	22	)	)	PUNCT
ejpam-5987	109	23	and	and	CCONJ
ejpam-5987	109	24	(	(	PUNCT
ejpam-5987	109	25	21	21	NUM
ejpam-5987	109	26	)	)	PUNCT
ejpam-5987	109	27	,	,	PUNCT
ejpam-5987	109	28	we	we	PRON
ejpam-5987	109	29	have	have	VERB
ejpam-5987	109	30	q(y	q(y	NOUN
ejpam-5987	109	31	,	,	PUNCT
ejpam-5987	109	32	z	z	PROPN
ejpam-5987	109	33	,	,	PUNCT
ejpam-5987	109	34	t	t	PROPN
ejpam-5987	109	35	)	)	PUNCT
ejpam-5987	109	36	=	=	PUNCT
ejpam-5987	110	1	(	(	PUNCT
ejpam-5987	110	2	3f1z(z	3f1z(z	NUM
ejpam-5987	110	3	,	,	PUNCT
ejpam-5987	110	4	t	t	PROPN
ejpam-5987	110	5	)	)	PUNCT
ejpam-5987	110	6	2αf1(z	2αf1(z	NUM
ejpam-5987	110	7	,	,	PUNCT
ejpam-5987	110	8	t	t	PROPN
ejpam-5987	110	9	)	)	PUNCT
ejpam-5987	110	10	−	−	PROPN
ejpam-5987	111	1	3f2z(z	3f2z(z	NUM
ejpam-5987	111	2	,	,	PUNCT
ejpam-5987	111	3	t	t	PROPN
ejpam-5987	111	4	)	)	PUNCT
ejpam-5987	111	5	2α	2α	NOUN
ejpam-5987	111	6	)	)	PUNCT
ejpam-5987	112	1	y	y	PROPN
ejpam-5987	112	2	+	+	PROPN
ejpam-5987	112	3	λ(z	λ(z	PROPN
ejpam-5987	112	4	,	,	PUNCT
ejpam-5987	112	5	t	t	PROPN
ejpam-5987	112	6	)	)	PUNCT
ejpam-5987	112	7	.	.	PUNCT
ejpam-5987	113	1	(	(	PUNCT
ejpam-5987	113	2	24	24	NUM
ejpam-5987	113	3	)	)	PUNCT
ejpam-5987	113	4	taking	take	VERB
ejpam-5987	113	5	eqs.(21	eqs.(21	PROPN
ejpam-5987	113	6	)	)	PUNCT
ejpam-5987	113	7	,	,	PUNCT
ejpam-5987	113	8	(	(	PUNCT
ejpam-5987	113	9	24	24	NUM
ejpam-5987	113	10	)	)	PUNCT
ejpam-5987	113	11	into	into	ADP
ejpam-5987	113	12	account	account	NOUN
ejpam-5987	113	13	in	in	ADP
ejpam-5987	113	14	eq.(23	eq.(23	NOUN
ejpam-5987	113	15	)	)	PUNCT
ejpam-5987	113	16	,	,	PUNCT
ejpam-5987	113	17	we	we	PRON
ejpam-5987	113	18	derive	derive	VERB
ejpam-5987	113	19	the	the	DET
ejpam-5987	113	20	following	follow	VERB
ejpam-5987	113	21	equation	equation	NOUN
ejpam-5987	113	22	φ(ξ	φ(ξ	PROPN
ejpam-5987	113	23	,	,	PUNCT
ejpam-5987	113	24	t	t	PROPN
ejpam-5987	113	25	)	)	PUNCT
ejpam-5987	113	26	+	+	CCONJ
ejpam-5987	114	1	φξ(ξ	φξ(ξ	PROPN
ejpam-5987	114	2	,	,	PUNCT
ejpam-5987	114	3	t	t	PROPN
ejpam-5987	114	4	)	)	PUNCT
ejpam-5987	114	5	=	=	SYM
ejpam-5987	115	1	0	0	X
ejpam-5987	115	2	.	.	PUNCT
ejpam-5987	116	1	(	(	PUNCT
ejpam-5987	116	2	25	25	NUM
ejpam-5987	116	3	)	)	PUNCT
ejpam-5987	116	4	the	the	DET
ejpam-5987	116	5	recent	recent	ADJ
ejpam-5987	116	6	equation	equation	NOUN
ejpam-5987	116	7	clearly	clearly	ADV
ejpam-5987	116	8	possesses	possess	VERB
ejpam-5987	116	9	the	the	DET
ejpam-5987	116	10	following	following	ADJ
ejpam-5987	116	11	solution	solution	NOUN
ejpam-5987	116	12	φ	φ	PROPN
ejpam-5987	116	13	(	(	PUNCT
ejpam-5987	116	14	ξ	ξ	PROPN
ejpam-5987	116	15	,	,	PUNCT
ejpam-5987	116	16	t	t	NOUN
ejpam-5987	116	17	)	)	PUNCT
ejpam-5987	116	18	=	=	SYM
ejpam-5987	116	19	g(t	g(t	PROPN
ejpam-5987	116	20	)	)	PUNCT
ejpam-5987	116	21	e−ξ	e−ξ	PROPN
ejpam-5987	116	22	,	,	PUNCT
ejpam-5987	116	23	(	(	PUNCT
ejpam-5987	116	24	26	26	NUM
ejpam-5987	116	25	)	)	PUNCT
ejpam-5987	116	26	where	where	SCONJ
ejpam-5987	116	27	g	g	PROPN
ejpam-5987	116	28	is	be	AUX
ejpam-5987	116	29	an	an	DET
ejpam-5987	116	30	arbitrary	arbitrary	ADJ
ejpam-5987	116	31	continuous	continuous	ADJ
ejpam-5987	116	32	non	non	ADJ
ejpam-5987	116	33	-	-	ADJ
ejpam-5987	116	34	zero	zero	NUM
ejpam-5987	116	35	function	function	NOUN
ejpam-5987	116	36	.	.	PUNCT
ejpam-5987	117	1	thus	thus	ADV
ejpam-5987	117	2	,	,	PUNCT
ejpam-5987	117	3	a	a	DET
ejpam-5987	117	4	general	general	ADJ
ejpam-5987	117	5	non	non	ADJ
ejpam-5987	117	6	-	-	ADJ
ejpam-5987	117	7	soliton	soliton	ADJ
ejpam-5987	117	8	solution	solution	NOUN
ejpam-5987	117	9	for	for	ADP
ejpam-5987	117	10	eq.(1	eq.(1	ADJ
ejpam-5987	117	11	)	)	PUNCT
ejpam-5987	117	12	is	be	AUX
ejpam-5987	117	13	obtained	obtain	VERB
ejpam-5987	117	14	as	as	SCONJ
ejpam-5987	117	15	follows	follow	VERB
ejpam-5987	117	16	u(x	u(x	NOUN
ejpam-5987	117	17	,	,	PUNCT
ejpam-5987	117	18	y	y	PROPN
ejpam-5987	117	19	,	,	PUNCT
ejpam-5987	117	20	z	z	PROPN
ejpam-5987	117	21	,	,	PUNCT
ejpam-5987	117	22	t	t	PROPN
ejpam-5987	117	23	)	)	PUNCT
ejpam-5987	117	24	=	=	SYM
ejpam-5987	117	25	f1(z	f1(z	PROPN
ejpam-5987	117	26	,	,	PUNCT
ejpam-5987	117	27	t	t	PROPN
ejpam-5987	117	28	)	)	PUNCT
ejpam-5987	117	29	g(t	g(t	PROPN
ejpam-5987	117	30	)	)	PUNCT
ejpam-5987	117	31	e	e	NOUN
ejpam-5987	117	32	−αx−f2(z	−αx−f2(z	NOUN
ejpam-5987	117	33	,	,	PUNCT
ejpam-5987	117	34	t	t	PROPN
ejpam-5987	117	35	)	)	PUNCT
ejpam-5987	117	36	(	(	PUNCT
ejpam-5987	117	37	3f1z(z	3f1z(z	NUM
ejpam-5987	117	38	,	,	PUNCT
ejpam-5987	117	39	t	t	PROPN
ejpam-5987	117	40	)	)	PUNCT
ejpam-5987	117	41	2αf1(z	2αf1(z	NUM
ejpam-5987	117	42	,	,	PUNCT
ejpam-5987	117	43	t	t	PROPN
ejpam-5987	117	44	)	)	PUNCT
ejpam-5987	117	45	−	−	PROPN
ejpam-5987	118	1	3f2z(z	3f2z(z	NUM
ejpam-5987	118	2	,	,	PUNCT
ejpam-5987	118	3	t	t	PROPN
ejpam-5987	118	4	)	)	PUNCT
ejpam-5987	118	5	2α	2α	NOUN
ejpam-5987	118	6	)	)	PUNCT
ejpam-5987	119	1	y	y	PROPN
ejpam-5987	119	2	+	+	PROPN
ejpam-5987	119	3	λ(z	λ(z	PROPN
ejpam-5987	119	4	,	,	PUNCT
ejpam-5987	119	5	t	t	PROPN
ejpam-5987	119	6	)	)	PUNCT
ejpam-5987	119	7	.	.	PUNCT
ejpam-5987	120	1	(	(	PUNCT
ejpam-5987	120	2	27	27	NUM
ejpam-5987	120	3	)	)	PUNCT
ejpam-5987	120	4	this	this	DET
ejpam-5987	120	5	solution	solution	NOUN
ejpam-5987	120	6	can	can	AUX
ejpam-5987	120	7	also	also	ADV
ejpam-5987	120	8	be	be	AUX
ejpam-5987	120	9	considered	consider	VERB
ejpam-5987	120	10	a	a	DET
ejpam-5987	120	11	more	more	ADV
ejpam-5987	120	12	generalized	generalized	ADJ
ejpam-5987	120	13	form	form	NOUN
ejpam-5987	120	14	of	of	ADP
ejpam-5987	120	15	the	the	DET
ejpam-5987	120	16	solution	solution	NOUN
ejpam-5987	120	17	u1(x	u1(x	PROPN
ejpam-5987	120	18	,	,	PUNCT
ejpam-5987	120	19	y	y	PROPN
ejpam-5987	120	20	,	,	PUNCT
ejpam-5987	120	21	z	z	PROPN
ejpam-5987	120	22	,	,	PUNCT
ejpam-5987	120	23	t	t	PROPN
ejpam-5987	120	24	)	)	PUNCT
ejpam-5987	120	25	given	give	VERB
ejpam-5987	120	26	in	in	ADP
ejpam-5987	120	27	the	the	DET
ejpam-5987	120	28	formula	formula	NOUN
ejpam-5987	120	29	(	(	PUNCT
ejpam-5987	120	30	17	17	NUM
ejpam-5987	120	31	)	)	PUNCT
ejpam-5987	120	32	.	.	PUNCT
ejpam-5987	121	1	s.	s.	PROPN
ejpam-5987	121	2	a.	a.	PROPN
ejpam-5987	121	3	m.	m.	PROPN
ejpam-5987	121	4	alsallami	alsallami	PROPN
ejpam-5987	121	5	,	,	PUNCT
ejpam-5987	121	6	m.	m.	NOUN
ejpam-5987	121	7	alkinidri	alkinidri	PROPN
ejpam-5987	121	8	/	/	SYM
ejpam-5987	121	9	eur	eur	PROPN
ejpam-5987	121	10	.	.	PUNCT
ejpam-5987	122	1	j.	j.	PROPN
ejpam-5987	122	2	pure	pure	PROPN
ejpam-5987	122	3	appl	appl	PROPN
ejpam-5987	122	4	.	.	PROPN
ejpam-5987	122	5	math	math	PROPN
ejpam-5987	122	6	,	,	PUNCT
ejpam-5987	122	7	18	18	NUM
ejpam-5987	122	8	(	(	PUNCT
ejpam-5987	122	9	2	2	NUM
ejpam-5987	122	10	)	)	PUNCT
ejpam-5987	122	11	(	(	PUNCT
ejpam-5987	122	12	2025	2025	NUM
ejpam-5987	122	13	)	)	PUNCT
ejpam-5987	122	14	,	,	PUNCT
ejpam-5987	122	15	5987	5987	NUM
ejpam-5987	122	16	6	6	NUM
ejpam-5987	122	17	of	of	ADP
ejpam-5987	122	18	22	22	NUM
ejpam-5987	122	19	3	3	NUM
ejpam-5987	122	20	.	.	PUNCT
ejpam-5987	123	1	further	further	ADJ
ejpam-5987	123	2	non	non	ADJ
ejpam-5987	123	3	-	-	ADJ
ejpam-5987	123	4	traveling	traveling	ADJ
ejpam-5987	123	5	wave	wave	NOUN
ejpam-5987	123	6	solutions	solution	NOUN
ejpam-5987	123	7	to	to	ADP
ejpam-5987	123	8	eq.(1	eq.(1	ADJ
ejpam-5987	123	9	)	)	PUNCT
ejpam-5987	123	10	as	as	SCONJ
ejpam-5987	123	11	demonstrated	demonstrate	VERB
ejpam-5987	123	12	in	in	ADP
ejpam-5987	123	13	the	the	DET
ejpam-5987	123	14	second	second	ADJ
ejpam-5987	123	15	part	part	NOUN
ejpam-5987	123	16	of	of	ADP
ejpam-5987	123	17	theorem	theorem	NOUN
ejpam-5987	123	18	1	1	NUM
ejpam-5987	123	19	,	,	PUNCT
ejpam-5987	123	20	under	under	ADP
ejpam-5987	123	21	the	the	DET
ejpam-5987	123	22	specified	specified	ADJ
ejpam-5987	123	23	conditions	condition	NOUN
ejpam-5987	123	24	,	,	PUNCT
ejpam-5987	123	25	the	the	DET
ejpam-5987	123	26	main	main	ADJ
ejpam-5987	123	27	equation	equation	NOUN
ejpam-5987	123	28	is	be	AUX
ejpam-5987	123	29	reduced	reduce	VERB
ejpam-5987	123	30	to	to	ADP
ejpam-5987	123	31	the	the	DET
ejpam-5987	123	32	eq.(20	eq.(20	PROPN
ejpam-5987	123	33	)	)	PUNCT
ejpam-5987	123	34	.	.	PUNCT
ejpam-5987	124	1	this	this	DET
ejpam-5987	124	2	latter	latter	ADJ
ejpam-5987	124	3	equation	equation	NOUN
ejpam-5987	124	4	is	be	AUX
ejpam-5987	124	5	significantly	significantly	ADV
ejpam-5987	124	6	more	more	ADV
ejpam-5987	124	7	straightforward	straightforward	ADJ
ejpam-5987	124	8	and	and	CCONJ
ejpam-5987	124	9	likely	likely	ADV
ejpam-5987	124	10	easier	easy	ADJ
ejpam-5987	124	11	to	to	PART
ejpam-5987	124	12	solve	solve	VERB
ejpam-5987	124	13	than	than	ADP
ejpam-5987	124	14	the	the	DET
ejpam-5987	124	15	original	original	ADJ
ejpam-5987	124	16	problem	problem	NOUN
ejpam-5987	124	17	(	(	PUNCT
ejpam-5987	124	18	1	1	NUM
ejpam-5987	124	19	)	)	PUNCT
ejpam-5987	124	20	.	.	PUNCT
ejpam-5987	125	1	in	in	ADP
ejpam-5987	125	2	this	this	DET
ejpam-5987	125	3	section	section	NOUN
ejpam-5987	125	4	,	,	PUNCT
ejpam-5987	125	5	we	we	PRON
ejpam-5987	125	6	aim	aim	VERB
ejpam-5987	125	7	to	to	PART
ejpam-5987	125	8	obtain	obtain	VERB
ejpam-5987	125	9	analytical	analytical	ADJ
ejpam-5987	125	10	solutions	solution	NOUN
ejpam-5987	125	11	for	for	ADP
ejpam-5987	125	12	the	the	DET
ejpam-5987	125	13	beta	beta	NOUN
ejpam-5987	125	14	equation	equation	NOUN
ejpam-5987	125	15	,	,	PUNCT
ejpam-5987	125	16	which	which	PRON
ejpam-5987	125	17	will	will	AUX
ejpam-5987	125	18	subsequently	subsequently	ADV
ejpam-5987	125	19	allow	allow	VERB
ejpam-5987	125	20	us	we	PRON
ejpam-5987	125	21	to	to	PART
ejpam-5987	125	22	derive	derive	VERB
ejpam-5987	125	23	solutions	solution	NOUN
ejpam-5987	125	24	for	for	ADP
ejpam-5987	125	25	the	the	DET
ejpam-5987	125	26	original	original	ADJ
ejpam-5987	125	27	equation	equation	NOUN
ejpam-5987	125	28	using	use	VERB
ejpam-5987	125	29	an	an	DET
ejpam-5987	125	30	efficient	efficient	ADJ
ejpam-5987	125	31	technique	technique	NOUN
ejpam-5987	125	32	.	.	PUNCT
ejpam-5987	126	1	to	to	ADP
ejpam-5987	126	2	this	this	DET
ejpam-5987	126	3	purpose	purpose	NOUN
ejpam-5987	126	4	,	,	PUNCT
ejpam-5987	126	5	we	we	PRON
ejpam-5987	126	6	introduce	introduce	VERB
ejpam-5987	126	7	the	the	DET
ejpam-5987	126	8	new	new	ADJ
ejpam-5987	126	9	variable	variable	NOUN
ejpam-5987	126	10	φ(ξ	φ(ξ	PROPN
ejpam-5987	126	11	,	,	PUNCT
ejpam-5987	126	12	t	t	PROPN
ejpam-5987	126	13	)	)	PUNCT
ejpam-5987	126	14	=	=	SYM
ejpam-5987	126	15	φ(℘	φ(℘	NOUN
ejpam-5987	126	16	)	)	PUNCT
ejpam-5987	126	17	along	along	ADP
ejpam-5987	126	18	with	with	ADP
ejpam-5987	126	19	℘	℘	PROPN
ejpam-5987	126	20	=	=	SYM
ejpam-5987	126	21	κξ	κξ	NOUN
ejpam-5987	126	22	+	+	CCONJ
ejpam-5987	126	23	ωt	ωt	PROPN
ejpam-5987	126	24	.	.	PUNCT
ejpam-5987	127	1	(	(	PUNCT
ejpam-5987	127	2	28	28	NUM
ejpam-5987	127	3	)	)	PUNCT
ejpam-5987	127	4	applying	apply	VERB
ejpam-5987	127	5	this	this	DET
ejpam-5987	127	6	transformation	transformation	NOUN
ejpam-5987	127	7	to	to	ADP
ejpam-5987	127	8	eq.(20	eq.(20	PROPN
ejpam-5987	127	9	)	)	PUNCT
ejpam-5987	127	10	gives	give	VERB
ejpam-5987	127	11	α2κ3	α2κ3	PROPN
ejpam-5987	127	12	(	(	PUNCT
ejpam-5987	127	13	d3	d3	PROPN
ejpam-5987	127	14	d℘3	d℘3	PROPN
ejpam-5987	127	15	φ	φ	PROPN
ejpam-5987	127	16	(	(	PUNCT
ejpam-5987	127	17	℘	℘	PROPN
ejpam-5987	127	18	)	)	PUNCT
ejpam-5987	127	19	)	)	PUNCT
ejpam-5987	128	1	+	+	CCONJ
ejpam-5987	129	1	3ακ2	3ακ2	NUM
ejpam-5987	129	2	(	(	PUNCT
ejpam-5987	129	3	d	d	PROPN
ejpam-5987	129	4	d℘	d℘	PROPN
ejpam-5987	129	5	φ	φ	PROPN
ejpam-5987	129	6	(	(	PUNCT
ejpam-5987	129	7	℘	℘	PROPN
ejpam-5987	129	8	)	)	PUNCT
ejpam-5987	129	9	)	)	PUNCT
ejpam-5987	129	10	2	2	NUM
ejpam-5987	129	11	+	+	NUM
ejpam-5987	129	12	ω	ω	NUM
ejpam-5987	129	13	(	(	PUNCT
ejpam-5987	129	14	d	d	PROPN
ejpam-5987	129	15	d℘	d℘	PROPN
ejpam-5987	129	16	φ	φ	PROPN
ejpam-5987	129	17	(	(	PUNCT
ejpam-5987	129	18	℘	℘	PROPN
ejpam-5987	129	19	)	)	PUNCT
ejpam-5987	129	20	)	)	PUNCT
ejpam-5987	130	1	=	=	PUNCT
ejpam-5987	130	2	0	0	X
ejpam-5987	130	3	.	.	PUNCT
ejpam-5987	131	1	(	(	PUNCT
ejpam-5987	131	2	29	29	NUM
ejpam-5987	131	3	)	)	PUNCT
ejpam-5987	131	4	we	we	PRON
ejpam-5987	131	5	now	now	ADV
ejpam-5987	131	6	utilize	utilize	VERB
ejpam-5987	131	7	the	the	DET
ejpam-5987	131	8	modified	modify	VERB
ejpam-5987	131	9	version	version	NOUN
ejpam-5987	131	10	of	of	ADP
ejpam-5987	131	11	the	the	DET
ejpam-5987	131	12	generalized	generalized	ADJ
ejpam-5987	131	13	exponential	exponential	ADJ
ejpam-5987	131	14	rational	rational	ADJ
ejpam-5987	131	15	function	function	NOUN
ejpam-5987	131	16	method	method	NOUN
ejpam-5987	131	17	(	(	PUNCT
ejpam-5987	131	18	abbreviated	abbreviate	VERB
ejpam-5987	131	19	as	as	ADP
ejpam-5987	131	20	mgerfm	mgerfm	NOUN
ejpam-5987	131	21	)	)	PUNCT
ejpam-5987	131	22	,	,	PUNCT
ejpam-5987	131	23	which	which	PRON
ejpam-5987	131	24	is	be	AUX
ejpam-5987	131	25	an	an	DET
ejpam-5987	131	26	innovative	innovative	ADJ
ejpam-5987	131	27	analytical	analytical	ADJ
ejpam-5987	131	28	approach	approach	NOUN
ejpam-5987	131	29	introduced	introduce	VERB
ejpam-5987	131	30	by	by	ADP
ejpam-5987	131	31	ghanbari	ghanbari	NOUN
ejpam-5987	131	32	in	in	ADP
ejpam-5987	131	33	[	[	X
ejpam-5987	131	34	41	41	NUM
ejpam-5987	131	35	]	]	PUNCT
ejpam-5987	131	36	.	.	PUNCT
ejpam-5987	132	1	based	base	VERB
ejpam-5987	132	2	on	on	ADP
ejpam-5987	132	3	this	this	DET
ejpam-5987	132	4	method	method	NOUN
ejpam-5987	132	5	,	,	PUNCT
ejpam-5987	132	6	the	the	DET
ejpam-5987	132	7	solution	solution	NOUN
ejpam-5987	132	8	to	to	ADP
ejpam-5987	132	9	eq.(29	eq.(29	PROPN
ejpam-5987	132	10	)	)	PUNCT
ejpam-5987	132	11	takes	take	VERB
ejpam-5987	132	12	the	the	DET
ejpam-5987	132	13	form	form	NOUN
ejpam-5987	132	14	of	of	ADP
ejpam-5987	132	15	the	the	DET
ejpam-5987	132	16	following	follow	VERB
ejpam-5987	132	17	structure	structure	NOUN
ejpam-5987	132	18	φ(℘	φ(℘	NOUN
ejpam-5987	132	19	)	)	PUNCT
ejpam-5987	132	20	=	=	SYM
ejpam-5987	132	21	ε0	ε0	PROPN
ejpam-5987	132	22	+	+	CCONJ
ejpam-5987	132	23	n∑	n∑	PROPN
ejpam-5987	132	24	j=1	j=1	ADJ
ejpam-5987	132	25	εj	εj	NOUN
ejpam-5987	132	26	(	(	PUNCT
ejpam-5987	132	27	γ′(℘	γ′(℘	X
ejpam-5987	132	28	)	)	PUNCT
ejpam-5987	132	29	γ(℘	γ(℘	NOUN
ejpam-5987	132	30	)	)	PUNCT
ejpam-5987	132	31	)	)	PUNCT
ejpam-5987	133	1	j	j	PROPN
ejpam-5987	134	1	+	+	CCONJ
ejpam-5987	134	2	n∑	n∑	PROPN
ejpam-5987	134	3	j=1	j=1	ADJ
ejpam-5987	134	4	γj	γj	PROPN
ejpam-5987	134	5	(	(	PUNCT
ejpam-5987	134	6	γ(℘	γ(℘	PROPN
ejpam-5987	134	7	)	)	PUNCT
ejpam-5987	134	8	γ′(℘	γ′(℘	ADV
ejpam-5987	134	9	)	)	PUNCT
ejpam-5987	134	10	)	)	PUNCT
ejpam-5987	135	1	j	j	PROPN
ejpam-5987	135	2	,	,	PUNCT
ejpam-5987	135	3	(	(	PUNCT
ejpam-5987	135	4	30	30	NUM
ejpam-5987	135	5	)	)	PUNCT
ejpam-5987	135	6	where	where	SCONJ
ejpam-5987	135	7	γ(℘	γ(℘	X
ejpam-5987	135	8	)	)	PUNCT
ejpam-5987	135	9	=	=	SYM
ejpam-5987	135	10	ς1e	ς1e	NUM
ejpam-5987	135	11	ϑ1℘	ϑ1℘	PROPN
ejpam-5987	135	12	+	+	CCONJ
ejpam-5987	135	13	ς2e	ς2e	PROPN
ejpam-5987	135	14	ϑ2℘	ϑ2℘	PUNCT
ejpam-5987	135	15	ς3eϑ3℘	ς3eϑ3℘	PUNCT
ejpam-5987	136	1	+	+	CCONJ
ejpam-5987	136	2	ς4eϑ4℘	ς4eϑ4℘	PROPN
ejpam-5987	136	3	,	,	PUNCT
ejpam-5987	136	4	(	(	PUNCT
ejpam-5987	136	5	31	31	NUM
ejpam-5987	136	6	)	)	PUNCT
ejpam-5987	136	7	and	and	CCONJ
ejpam-5987	136	8	n	n	PRON
ejpam-5987	136	9	is	be	AUX
ejpam-5987	136	10	the	the	DET
ejpam-5987	136	11	balance	balance	NOUN
ejpam-5987	136	12	number	number	NOUN
ejpam-5987	136	13	of	of	ADP
ejpam-5987	136	14	the	the	DET
ejpam-5987	136	15	given	give	VERB
ejpam-5987	136	16	equation	equation	NOUN
ejpam-5987	136	17	.	.	PUNCT
ejpam-5987	137	1	by	by	ADP
ejpam-5987	137	2	applying	apply	VERB
ejpam-5987	137	3	the	the	DET
ejpam-5987	137	4	balance	balance	NOUN
ejpam-5987	137	5	rule	rule	NOUN
ejpam-5987	137	6	given	give	VERB
ejpam-5987	137	7	in	in	ADP
ejpam-5987	137	8	eq.(29	eq.(29	NOUN
ejpam-5987	137	9	)	)	PUNCT
ejpam-5987	137	10	,	,	PUNCT
ejpam-5987	137	11	we	we	PRON
ejpam-5987	137	12	may	may	AUX
ejpam-5987	137	13	infer	infer	VERB
ejpam-5987	137	14	that	that	SCONJ
ejpam-5987	137	15	2(n+	2(n+	NOUN
ejpam-5987	137	16	1	1	X
ejpam-5987	137	17	)	)	PUNCT
ejpam-5987	137	18	=	=	PRON
ejpam-5987	137	19	n+	n+	PUNCT
ejpam-5987	137	20	3	3	NUM
ejpam-5987	137	21	,	,	PUNCT
ejpam-5987	137	22	which	which	PRON
ejpam-5987	137	23	gives	give	VERB
ejpam-5987	137	24	n	n	NOUN
ejpam-5987	137	25	=	=	NUM
ejpam-5987	137	26	1	1	NUM
ejpam-5987	137	27	.	.	PUNCT
ejpam-5987	138	1	thus	thus	ADV
ejpam-5987	138	2	,	,	PUNCT
ejpam-5987	138	3	from	from	ADP
ejpam-5987	138	4	eq.(30	eq.(30	NOUN
ejpam-5987	138	5	)	)	PUNCT
ejpam-5987	138	6	,	,	PUNCT
ejpam-5987	138	7	we	we	PRON
ejpam-5987	138	8	obtain	obtain	VERB
ejpam-5987	138	9	φ(℘	φ(℘	NOUN
ejpam-5987	138	10	)	)	PUNCT
ejpam-5987	138	11	=	=	SYM
ejpam-5987	138	12	ε0	ε0	PROPN
ejpam-5987	138	13	+	+	CCONJ
ejpam-5987	138	14	ε1	ε1	PROPN
ejpam-5987	138	15	(	(	PUNCT
ejpam-5987	138	16	γ′(℘	γ′(℘	X
ejpam-5987	138	17	)	)	PUNCT
ejpam-5987	138	18	γ(℘	γ(℘	NOUN
ejpam-5987	138	19	)	)	PUNCT
ejpam-5987	138	20	)	)	PUNCT
ejpam-5987	139	1	+	+	CCONJ
ejpam-5987	139	2	γ1	γ1	PROPN
ejpam-5987	139	3	(	(	PUNCT
ejpam-5987	139	4	γ(℘	γ(℘	PROPN
ejpam-5987	139	5	)	)	PUNCT
ejpam-5987	139	6	γ′(℘	γ′(℘	ADV
ejpam-5987	139	7	)	)	PUNCT
ejpam-5987	139	8	)	)	PUNCT
ejpam-5987	139	9	.	.	PUNCT
ejpam-5987	140	1	(	(	PUNCT
ejpam-5987	140	2	32	32	NUM
ejpam-5987	140	3	)	)	PUNCT
ejpam-5987	140	4	upon	upon	SCONJ
ejpam-5987	140	5	inserting	insert	VERB
ejpam-5987	140	6	the	the	DET
ejpam-5987	140	7	expression	expression	NOUN
ejpam-5987	140	8	from	from	ADP
ejpam-5987	140	9	eq.(32	eq.(32	PROPN
ejpam-5987	140	10	)	)	PUNCT
ejpam-5987	140	11	along	along	ADP
ejpam-5987	140	12	with	with	ADP
ejpam-5987	140	13	eq.(31	eq.(31	NOUN
ejpam-5987	140	14	)	)	PUNCT
ejpam-5987	140	15	in	in	ADP
ejpam-5987	140	16	eq.(29	eq.(29	PROPN
ejpam-5987	140	17	)	)	PUNCT
ejpam-5987	140	18	and	and	CCONJ
ejpam-5987	140	19	solving	solve	VERB
ejpam-5987	140	20	the	the	DET
ejpam-5987	140	21	resultant	resultant	NOUN
ejpam-5987	140	22	for	for	ADP
ejpam-5987	140	23	the	the	DET
ejpam-5987	140	24	unknown	unknown	ADJ
ejpam-5987	140	25	parameters	parameter	NOUN
ejpam-5987	140	26	,	,	PUNCT
ejpam-5987	140	27	the	the	DET
ejpam-5987	140	28	following	follow	VERB
ejpam-5987	140	29	solutions	solution	NOUN
ejpam-5987	140	30	are	be	AUX
ejpam-5987	140	31	obtained	obtain	VERB
ejpam-5987	140	32	.	.	PUNCT
ejpam-5987	141	1	set	set	VERB
ejpam-5987	141	2	1	1	NUM
ejpam-5987	141	3	:	:	PUNCT
ejpam-5987	141	4	for	for	ADP
ejpam-5987	141	5	[	[	X
ejpam-5987	141	6	ς1	ς1	NOUN
ejpam-5987	141	7	,	,	PUNCT
ejpam-5987	141	8	ς2	ς2	PROPN
ejpam-5987	141	9	,	,	PUNCT
ejpam-5987	141	10	ς3	ς3	NOUN
ejpam-5987	141	11	,	,	PUNCT
ejpam-5987	141	12	ς4	ς4	PROPN
ejpam-5987	141	13	]	]	X
ejpam-5987	141	14	=	=	PUNCT
ejpam-5987	142	1	[	[	X
ejpam-5987	142	2	2	2	NUM
ejpam-5987	142	3	,	,	PUNCT
ejpam-5987	142	4	0	0	NUM
ejpam-5987	142	5	,	,	PUNCT
ejpam-5987	142	6	1,−1	1,−1	NUM
ejpam-5987	142	7	]	]	PUNCT
ejpam-5987	142	8	and	and	CCONJ
ejpam-5987	142	9	[	[	X
ejpam-5987	142	10	ϑ1	ϑ1	NOUN
ejpam-5987	142	11	,	,	PUNCT
ejpam-5987	142	12	ϑ2	ϑ2	PROPN
ejpam-5987	142	13	,	,	PUNCT
ejpam-5987	142	14	ϑ3	ϑ3	PROPN
ejpam-5987	142	15	,	,	PUNCT
ejpam-5987	142	16	ϑ4	ϑ4	VERB
ejpam-5987	142	17	]	]	PUNCT
ejpam-5987	142	18	=	=	PUNCT
ejpam-5987	143	1	[	[	X
ejpam-5987	143	2	2	2	NUM
ejpam-5987	143	3	,	,	PUNCT
ejpam-5987	143	4	0	0	NUM
ejpam-5987	143	5	,	,	PUNCT
ejpam-5987	143	6	2	2	NUM
ejpam-5987	143	7	,	,	PUNCT
ejpam-5987	143	8	0	0	NUM
ejpam-5987	143	9	]	]	PUNCT
ejpam-5987	143	10	,	,	PUNCT
ejpam-5987	143	11	eq.(31	eq.(31	PROPN
ejpam-5987	143	12	)	)	PUNCT
ejpam-5987	143	13	reduces	reduce	VERB
ejpam-5987	143	14	to	to	PART
ejpam-5987	143	15	γ(℘	γ(℘	NOUN
ejpam-5987	143	16	)	)	PUNCT
ejpam-5987	143	17	=	=	PUNCT
ejpam-5987	144	1	2e2℘	2e2℘	ADJ
ejpam-5987	144	2	e2℘	e2℘	NOUN
ejpam-5987	144	3	−	−	PROPN
ejpam-5987	144	4	1	1	NUM
ejpam-5987	144	5	.	.	PUNCT
ejpam-5987	145	1	(	(	PUNCT
ejpam-5987	145	2	33	33	NUM
ejpam-5987	145	3	)	)	PUNCT
ejpam-5987	145	4	moreover	moreover	ADV
ejpam-5987	145	5	,	,	PUNCT
ejpam-5987	145	6	the	the	DET
ejpam-5987	145	7	rest	rest	NOUN
ejpam-5987	145	8	of	of	ADP
ejpam-5987	145	9	the	the	DET
ejpam-5987	145	10	parameters	parameter	NOUN
ejpam-5987	145	11	can	can	AUX
ejpam-5987	145	12	be	be	AUX
ejpam-5987	145	13	attained	attain	VERB
ejpam-5987	145	14	as	as	ADP
ejpam-5987	145	15	ω	ω	NOUN
ejpam-5987	145	16	=	=	SYM
ejpam-5987	145	17	−2κ3α3	−2κ3α3	NOUN
ejpam-5987	145	18	,	,	PUNCT
ejpam-5987	145	19	ε1	ε1	PROPN
ejpam-5987	145	20	=	=	SYM
ejpam-5987	145	21	0	0	NUM
ejpam-5987	145	22	,	,	PUNCT
ejpam-5987	145	23	γ1	γ1	NOUN
ejpam-5987	145	24	=	=	SYM
ejpam-5987	145	25	3κα	3κα	NOUN
ejpam-5987	145	26	,	,	PUNCT
ejpam-5987	145	27	(	(	PUNCT
ejpam-5987	145	28	34	34	NUM
ejpam-5987	145	29	)	)	PUNCT
ejpam-5987	145	30	s.	s.	PROPN
ejpam-5987	145	31	a.	a.	PROPN
ejpam-5987	145	32	m.	m.	PROPN
ejpam-5987	145	33	alsallami	alsallami	PROPN
ejpam-5987	145	34	,	,	PUNCT
ejpam-5987	145	35	m.	m.	NOUN
ejpam-5987	145	36	alkinidri	alkinidri	PROPN
ejpam-5987	145	37	/	/	SYM
ejpam-5987	145	38	eur	eur	PROPN
ejpam-5987	145	39	.	.	PUNCT
ejpam-5987	146	1	j.	j.	PROPN
ejpam-5987	146	2	pure	pure	PROPN
ejpam-5987	146	3	appl	appl	PROPN
ejpam-5987	146	4	.	.	PROPN
ejpam-5987	146	5	math	math	PROPN
ejpam-5987	146	6	,	,	PUNCT
ejpam-5987	146	7	18	18	NUM
ejpam-5987	146	8	(	(	PUNCT
ejpam-5987	146	9	2	2	NUM
ejpam-5987	146	10	)	)	PUNCT
ejpam-5987	146	11	(	(	PUNCT
ejpam-5987	146	12	2025	2025	NUM
ejpam-5987	146	13	)	)	PUNCT
ejpam-5987	146	14	,	,	PUNCT
ejpam-5987	146	15	5987	5987	NUM
ejpam-5987	146	16	7	7	NUM
ejpam-5987	146	17	of	of	ADP
ejpam-5987	146	18	22	22	NUM
ejpam-5987	146	19	where	where	SCONJ
ejpam-5987	146	20	κ	κ	NOUN
ejpam-5987	146	21	,	,	PUNCT
ejpam-5987	146	22	ε0	ε0	PROPN
ejpam-5987	146	23	are	be	AUX
ejpam-5987	146	24	free	free	ADJ
ejpam-5987	146	25	-	-	PUNCT
ejpam-5987	146	26	chosen	choose	VERB
ejpam-5987	146	27	parameters	parameter	NOUN
ejpam-5987	146	28	.	.	PUNCT
ejpam-5987	147	1	taking	take	VERB
ejpam-5987	147	2	the	the	DET
ejpam-5987	147	3	obtained	obtain	VERB
ejpam-5987	147	4	results	result	NOUN
ejpam-5987	147	5	into	into	ADP
ejpam-5987	147	6	account	account	NOUN
ejpam-5987	147	7	in	in	ADP
ejpam-5987	147	8	eqs.(32	eqs.(32	NOUN
ejpam-5987	147	9	)	)	PUNCT
ejpam-5987	147	10	and	and	CCONJ
ejpam-5987	147	11	(	(	PUNCT
ejpam-5987	147	12	33	33	NUM
ejpam-5987	147	13	)	)	PUNCT
ejpam-5987	147	14	,	,	PUNCT
ejpam-5987	147	15	we	we	PRON
ejpam-5987	147	16	have	have	VERB
ejpam-5987	147	17	φ(℘	φ(℘	NOUN
ejpam-5987	147	18	)	)	PUNCT
ejpam-5987	147	19	=	=	SYM
ejpam-5987	147	20	(	(	PUNCT
ejpam-5987	147	21	−3κα+	−3κα+	X
ejpam-5987	147	22	ε0	ε0	PROPN
ejpam-5987	147	23	)	)	PUNCT
ejpam-5987	148	1	e	e	NOUN
ejpam-5987	148	2	2℘	2℘	NUM
ejpam-5987	148	3	+	+	CCONJ
ejpam-5987	148	4	3κα+	3κα+	NUM
ejpam-5987	148	5	ε0	ε0	NOUN
ejpam-5987	148	6	e2℘	e2℘	VERB
ejpam-5987	148	7	+	+	CCONJ
ejpam-5987	148	8	1	1	NUM
ejpam-5987	148	9	.	.	PUNCT
ejpam-5987	149	1	(	(	PUNCT
ejpam-5987	149	2	35	35	NUM
ejpam-5987	149	3	)	)	PUNCT
ejpam-5987	149	4	in	in	ADP
ejpam-5987	149	5	light	light	NOUN
ejpam-5987	149	6	of	of	ADP
ejpam-5987	149	7	the	the	DET
ejpam-5987	149	8	recent	recent	ADJ
ejpam-5987	149	9	result	result	NOUN
ejpam-5987	149	10	along	along	ADP
ejpam-5987	149	11	with	with	ADP
ejpam-5987	149	12	eq.(28	eq.(28	NOUN
ejpam-5987	149	13	)	)	PUNCT
ejpam-5987	149	14	,	,	PUNCT
ejpam-5987	149	15	the	the	DET
ejpam-5987	149	16	solution	solution	NOUN
ejpam-5987	149	17	for	for	ADP
ejpam-5987	149	18	eq.(20	eq.(20	PROPN
ejpam-5987	149	19	)	)	PUNCT
ejpam-5987	149	20	is	be	AUX
ejpam-5987	149	21	obtained	obtain	VERB
ejpam-5987	149	22	as	as	ADP
ejpam-5987	149	23	φ(ξ	φ(ξ	PROPN
ejpam-5987	149	24	,	,	PUNCT
ejpam-5987	149	25	t	t	PROPN
ejpam-5987	149	26	)	)	PUNCT
ejpam-5987	149	27	=	=	PUNCT
ejpam-5987	150	1	(	(	PUNCT
ejpam-5987	150	2	−3κα+	−3κα+	X
ejpam-5987	150	3	ε0	ε0	PROPN
ejpam-5987	150	4	)	)	PUNCT
ejpam-5987	150	5	e	e	NOUN
ejpam-5987	150	6	−4α3κ3t+2κξ	−4α3κ3t+2κξ	PROPN
ejpam-5987	150	7	+	+	PROPN
ejpam-5987	150	8	3κα+	3κα+	PROPN
ejpam-5987	150	9	ε0	ε0	PROPN
ejpam-5987	150	10	e−4α3κ3t+2κξ	e−4α3κ3t+2κξ	PUNCT
ejpam-5987	151	1	+	+	CCONJ
ejpam-5987	151	2	1	1	X
ejpam-5987	151	3	.	.	PUNCT
ejpam-5987	152	1	(	(	PUNCT
ejpam-5987	152	2	36	36	NUM
ejpam-5987	152	3	)	)	PUNCT
ejpam-5987	152	4	as	as	ADP
ejpam-5987	152	5	a	a	DET
ejpam-5987	152	6	result	result	NOUN
ejpam-5987	152	7	,	,	PUNCT
ejpam-5987	152	8	by	by	ADP
ejpam-5987	152	9	substituting	substitute	VERB
ejpam-5987	152	10	eqs.(36	eqs.(36	NOUN
ejpam-5987	152	11	)	)	PUNCT
ejpam-5987	152	12	,	,	PUNCT
ejpam-5987	152	13	(	(	PUNCT
ejpam-5987	152	14	18	18	NUM
ejpam-5987	152	15	)	)	PUNCT
ejpam-5987	152	16	,	,	PUNCT
ejpam-5987	152	17	and	and	CCONJ
ejpam-5987	152	18	(	(	PUNCT
ejpam-5987	152	19	19	19	NUM
ejpam-5987	152	20	)	)	PUNCT
ejpam-5987	152	21	into	into	ADP
ejpam-5987	152	22	(	(	PUNCT
ejpam-5987	152	23	3	3	NUM
ejpam-5987	152	24	)	)	PUNCT
ejpam-5987	152	25	,	,	PUNCT
ejpam-5987	152	26	we	we	PRON
ejpam-5987	152	27	can	can	AUX
ejpam-5987	152	28	derive	derive	VERB
ejpam-5987	152	29	a	a	DET
ejpam-5987	152	30	non	non	ADJ
ejpam-5987	152	31	-	-	ADJ
ejpam-5987	152	32	soliton	soliton	ADJ
ejpam-5987	152	33	solution	solution	NOUN
ejpam-5987	152	34	for	for	ADP
ejpam-5987	152	35	eq.(1	eq.(1	ADJ
ejpam-5987	152	36	)	)	PUNCT
ejpam-5987	152	37	as	as	ADP
ejpam-5987	152	38	u(x	u(x	NOUN
ejpam-5987	152	39	,	,	PUNCT
ejpam-5987	152	40	y	y	PROPN
ejpam-5987	152	41	,	,	PUNCT
ejpam-5987	152	42	z	z	PROPN
ejpam-5987	152	43	,	,	PUNCT
ejpam-5987	152	44	t	t	PROPN
ejpam-5987	152	45	)	)	PUNCT
ejpam-5987	152	46	=	=	PUNCT
ejpam-5987	153	1	(	(	PUNCT
ejpam-5987	153	2	−3κα+	−3κα+	X
ejpam-5987	153	3	ε0	ε0	PROPN
ejpam-5987	153	4	)	)	PUNCT
ejpam-5987	153	5	e	e	NOUN
ejpam-5987	153	6	−4α3κ3t+2κ(αx+f2(y	−4α3κ3t+2κ(αx+f2(y	X
ejpam-5987	153	7	,	,	PUNCT
ejpam-5987	153	8	z)+f1(z	z)+f1(z	PROPN
ejpam-5987	153	9	,	,	PUNCT
ejpam-5987	153	10	t	t	PROPN
ejpam-5987	153	11	)	)	PUNCT
ejpam-5987	153	12	)	)	PUNCT
ejpam-5987	154	1	+	+	CCONJ
ejpam-5987	154	2	3κα+	3κα+	NUM
ejpam-5987	154	3	ε0	ε0	PROPN
ejpam-5987	154	4	e−4α3κ3t+2κ(αx+f2(y	e−4α3κ3t+2κ(αx+f2(y	PROPN
ejpam-5987	154	5	,	,	PUNCT
ejpam-5987	154	6	z)+f1(z	z)+f1(z	PROPN
ejpam-5987	154	7	,	,	PUNCT
ejpam-5987	154	8	t	t	PROPN
ejpam-5987	154	9	)	)	PUNCT
ejpam-5987	154	10	)	)	PUNCT
ejpam-5987	155	1	+	+	CCONJ
ejpam-5987	155	2	1	1	NUM
ejpam-5987	155	3	+	+	NUM
ejpam-5987	155	4	f2(y	f2(y	PROPN
ejpam-5987	155	5	,	,	PUNCT
ejpam-5987	155	6	z	z	NOUN
ejpam-5987	155	7	)	)	PUNCT
ejpam-5987	155	8	(	(	PUNCT
ejpam-5987	155	9	∂	∂	NUM
ejpam-5987	155	10	∂tf1(z	∂tf1(z	PROPN
ejpam-5987	155	11	,	,	PUNCT
ejpam-5987	155	12	t	t	PROPN
ejpam-5987	155	13	)	)	PUNCT
ejpam-5987	155	14	)	)	PUNCT
ejpam-5987	156	1	α2	α2	ADV
ejpam-5987	156	2	−	−	PROPN
ejpam-5987	156	3	3y	3y	NUM
ejpam-5987	156	4	(	(	PUNCT
ejpam-5987	156	5	∂	∂	NUM
ejpam-5987	156	6	∂zf1(z	∂zf1(z	PROPN
ejpam-5987	156	7	,	,	PUNCT
ejpam-5987	156	8	t	t	PROPN
ejpam-5987	156	9	)	)	PUNCT
ejpam-5987	156	10	)	)	PUNCT
ejpam-5987	157	1	+	+	CCONJ
ejpam-5987	157	2	3	3	NUM
ejpam-5987	157	3	(	(	PUNCT
ejpam-5987	157	4	∫	∫	PROPN
ejpam-5987	157	5	(	(	PUNCT
ejpam-5987	157	6	∂	∂	NUM
ejpam-5987	157	7	∂zf2(y	∂zf2(y	ADJ
ejpam-5987	157	8	,	,	PUNCT
ejpam-5987	157	9	z	z	NOUN
ejpam-5987	157	10	)	)	PUNCT
ejpam-5987	157	11	)	)	PUNCT
ejpam-5987	158	1	dy	dy	NOUN
ejpam-5987	158	2	)	)	PUNCT
ejpam-5987	158	3	2α	2α	PROPN
ejpam-5987	158	4	+	+	CCONJ
ejpam-5987	158	5	λ(z	λ(z	NOUN
ejpam-5987	158	6	,	,	PUNCT
ejpam-5987	158	7	t	t	PROPN
ejpam-5987	158	8	)	)	PUNCT
ejpam-5987	158	9	.	.	PUNCT
ejpam-5987	159	1	(	(	PUNCT
ejpam-5987	159	2	37	37	NUM
ejpam-5987	159	3	)	)	PUNCT
ejpam-5987	159	4	set	set	VERB
ejpam-5987	159	5	2	2	NUM
ejpam-5987	159	6	:	:	PUNCT
ejpam-5987	159	7	for	for	ADP
ejpam-5987	159	8	[	[	X
ejpam-5987	159	9	ς1	ς1	NOUN
ejpam-5987	159	10	,	,	PUNCT
ejpam-5987	159	11	ς2	ς2	PROPN
ejpam-5987	159	12	,	,	PUNCT
ejpam-5987	159	13	ς3	ς3	NOUN
ejpam-5987	159	14	,	,	PUNCT
ejpam-5987	159	15	ς4	ς4	PROPN
ejpam-5987	159	16	]	]	X
ejpam-5987	159	17	=	=	PUNCT
ejpam-5987	160	1	[	[	X
ejpam-5987	160	2	1,−1	1,−1	NUM
ejpam-5987	160	3	,	,	PUNCT
ejpam-5987	160	4	2i	2i	NUM
ejpam-5987	160	5	,	,	PUNCT
ejpam-5987	160	6	0	0	NUM
ejpam-5987	160	7	]	]	PUNCT
ejpam-5987	160	8	and	and	CCONJ
ejpam-5987	160	9	[	[	X
ejpam-5987	160	10	ϑ1	ϑ1	NOUN
ejpam-5987	160	11	,	,	PUNCT
ejpam-5987	160	12	ϑ2	ϑ2	PROPN
ejpam-5987	160	13	,	,	PUNCT
ejpam-5987	160	14	ϑ3	ϑ3	PROPN
ejpam-5987	160	15	,	,	PUNCT
ejpam-5987	160	16	ϑ4	ϑ4	VERB
ejpam-5987	160	17	]	]	PUNCT
ejpam-5987	160	18	=	=	PUNCT
ejpam-5987	161	1	[	[	X
ejpam-5987	161	2	2	2	NUM
ejpam-5987	161	3	+	+	NUM
ejpam-5987	161	4	i	i	PRON
ejpam-5987	161	5	,	,	PUNCT
ejpam-5987	161	6	2	2	NUM
ejpam-5987	161	7	−	−	PROPN
ejpam-5987	161	8	i	i	PRON
ejpam-5987	161	9	,	,	PUNCT
ejpam-5987	161	10	0	0	NUM
ejpam-5987	161	11	,	,	PUNCT
ejpam-5987	161	12	0	0	NUM
ejpam-5987	161	13	]	]	PUNCT
ejpam-5987	161	14	,	,	PUNCT
ejpam-5987	161	15	eq.(31	eq.(31	PROPN
ejpam-5987	161	16	)	)	PUNCT
ejpam-5987	161	17	reduces	reduce	VERB
ejpam-5987	161	18	to	to	PART
ejpam-5987	161	19	γ(℘	γ(℘	PROPN
ejpam-5987	161	20	)	)	PUNCT
ejpam-5987	161	21	=	=	SYM
ejpam-5987	161	22	sin(℘	sin(℘	PROPN
ejpam-5987	161	23	)	)	PUNCT
ejpam-5987	162	1	e2℘.	e2℘.	NOUN
ejpam-5987	162	2	(	(	PUNCT
ejpam-5987	162	3	38	38	NUM
ejpam-5987	162	4	)	)	PUNCT
ejpam-5987	162	5	additionally	additionally	ADV
ejpam-5987	162	6	,	,	PUNCT
ejpam-5987	162	7	the	the	DET
ejpam-5987	162	8	remaining	remain	VERB
ejpam-5987	162	9	parameters	parameter	NOUN
ejpam-5987	162	10	can	can	AUX
ejpam-5987	162	11	be	be	AUX
ejpam-5987	162	12	obtained	obtain	VERB
ejpam-5987	162	13	as	as	SCONJ
ejpam-5987	162	14	follows	follow	VERB
ejpam-5987	162	15	ω	ω	PROPN
ejpam-5987	162	16	=	=	SYM
ejpam-5987	162	17	2κ3α3	2κ3α3	NUM
ejpam-5987	162	18	,	,	PUNCT
ejpam-5987	162	19	ε1	ε1	PROPN
ejpam-5987	162	20	=	=	SYM
ejpam-5987	162	21	0	0	NUM
ejpam-5987	162	22	,	,	PUNCT
ejpam-5987	162	23	γ1	γ1	NOUN
ejpam-5987	162	24	=	=	SYM
ejpam-5987	162	25	15κα	15κα	NOUN
ejpam-5987	162	26	,	,	PUNCT
ejpam-5987	162	27	(	(	PUNCT
ejpam-5987	162	28	39	39	NUM
ejpam-5987	162	29	)	)	PUNCT
ejpam-5987	162	30	where	where	SCONJ
ejpam-5987	162	31	κ	κ	NOUN
ejpam-5987	162	32	,	,	PUNCT
ejpam-5987	162	33	ε0	ε0	PROPN
ejpam-5987	162	34	are	be	AUX
ejpam-5987	162	35	free	free	ADJ
ejpam-5987	162	36	-	-	PUNCT
ejpam-5987	162	37	chosen	choose	VERB
ejpam-5987	162	38	parameters	parameter	NOUN
ejpam-5987	162	39	.	.	PUNCT
ejpam-5987	163	1	taking	take	VERB
ejpam-5987	163	2	the	the	DET
ejpam-5987	163	3	obtained	obtain	VERB
ejpam-5987	163	4	results	result	NOUN
ejpam-5987	163	5	into	into	ADP
ejpam-5987	163	6	account	account	NOUN
ejpam-5987	163	7	in	in	ADP
ejpam-5987	163	8	eqs.(32	eqs.(32	NOUN
ejpam-5987	163	9	)	)	PUNCT
ejpam-5987	163	10	and	and	CCONJ
ejpam-5987	163	11	(	(	PUNCT
ejpam-5987	163	12	38	38	NUM
ejpam-5987	163	13	)	)	PUNCT
ejpam-5987	163	14	,	,	PUNCT
ejpam-5987	163	15	one	one	PRON
ejpam-5987	163	16	achieves	achieve	VERB
ejpam-5987	163	17	φ(℘	φ(℘	NOUN
ejpam-5987	163	18	)	)	PUNCT
ejpam-5987	163	19	=	=	PUNCT
ejpam-5987	163	20	(	(	PUNCT
ejpam-5987	163	21	15κα+	15κα+	NUM
ejpam-5987	163	22	2ε0	2ε0	NUM
ejpam-5987	163	23	)	)	PUNCT
ejpam-5987	163	24	sin(℘	sin(℘	PROPN
ejpam-5987	163	25	)	)	PUNCT
ejpam-5987	164	1	+	+	CCONJ
ejpam-5987	164	2	ε0	ε0	PROPN
ejpam-5987	164	3	cos(℘	cos(℘	NOUN
ejpam-5987	164	4	)	)	PUNCT
ejpam-5987	164	5	2	2	NUM
ejpam-5987	164	6	sin(℘	sin(℘	NOUN
ejpam-5987	164	7	)	)	PUNCT
ejpam-5987	164	8	+	+	NUM
ejpam-5987	164	9	cos(℘	cos(℘	NOUN
ejpam-5987	164	10	)	)	PUNCT
ejpam-5987	164	11	.	.	PUNCT
ejpam-5987	165	1	(	(	PUNCT
ejpam-5987	165	2	40	40	NUM
ejpam-5987	165	3	)	)	PUNCT
ejpam-5987	165	4	in	in	ADP
ejpam-5987	165	5	light	light	NOUN
ejpam-5987	165	6	of	of	ADP
ejpam-5987	165	7	the	the	DET
ejpam-5987	165	8	recent	recent	ADJ
ejpam-5987	165	9	result	result	NOUN
ejpam-5987	165	10	along	along	ADP
ejpam-5987	165	11	with	with	ADP
ejpam-5987	165	12	eq.(28	eq.(28	NOUN
ejpam-5987	165	13	)	)	PUNCT
ejpam-5987	165	14	,	,	PUNCT
ejpam-5987	165	15	the	the	DET
ejpam-5987	165	16	solution	solution	NOUN
ejpam-5987	165	17	for	for	ADP
ejpam-5987	165	18	eq.(20	eq.(20	PROPN
ejpam-5987	165	19	)	)	PUNCT
ejpam-5987	165	20	is	be	AUX
ejpam-5987	165	21	obtained	obtain	VERB
ejpam-5987	165	22	as	as	ADP
ejpam-5987	165	23	φ(ξ	φ(ξ	PROPN
ejpam-5987	165	24	,	,	PUNCT
ejpam-5987	165	25	t	t	PROPN
ejpam-5987	165	26	)	)	PUNCT
ejpam-5987	165	27	=	=	PUNCT
ejpam-5987	166	1	(	(	PUNCT
ejpam-5987	166	2	15κα+	15κα+	NUM
ejpam-5987	166	3	2ε0	2ε0	NUM
ejpam-5987	166	4	)	)	PUNCT
ejpam-5987	166	5	sin	sin	NOUN
ejpam-5987	166	6	(	(	PUNCT
ejpam-5987	166	7	2α3κ3t+	2α3κ3t+	NUM
ejpam-5987	166	8	κξ	κξ	NOUN
ejpam-5987	166	9	)	)	PUNCT
ejpam-5987	167	1	+	+	CCONJ
ejpam-5987	167	2	ε0	ε0	PROPN
ejpam-5987	167	3	cos	cos	PROPN
ejpam-5987	167	4	(	(	PUNCT
ejpam-5987	167	5	2α3κ3t+	2α3κ3t+	NUM
ejpam-5987	167	6	κξ	κξ	NOUN
ejpam-5987	167	7	)	)	PUNCT
ejpam-5987	167	8	2	2	NUM
ejpam-5987	167	9	sin(2α3κ3t+	sin(2α3κ3t+	NOUN
ejpam-5987	167	10	κξ	κξ	NOUN
ejpam-5987	167	11	)	)	PUNCT
ejpam-5987	167	12	+	+	CCONJ
ejpam-5987	168	1	cos(2α3κ3t+	cos(2α3κ3t+	NUM
ejpam-5987	168	2	κξ	κξ	NOUN
ejpam-5987	168	3	)	)	PUNCT
ejpam-5987	168	4	.	.	PUNCT
ejpam-5987	169	1	(	(	PUNCT
ejpam-5987	169	2	41	41	NUM
ejpam-5987	169	3	)	)	PUNCT
ejpam-5987	169	4	hence	hence	ADV
ejpam-5987	169	5	,	,	PUNCT
ejpam-5987	169	6	using	use	VERB
ejpam-5987	169	7	eqs.(41	eqs.(41	PROPN
ejpam-5987	169	8	)	)	PUNCT
ejpam-5987	169	9	,	,	PUNCT
ejpam-5987	169	10	(	(	PUNCT
ejpam-5987	169	11	18	18	NUM
ejpam-5987	169	12	)	)	PUNCT
ejpam-5987	169	13	,	,	PUNCT
ejpam-5987	169	14	and	and	CCONJ
ejpam-5987	169	15	(	(	PUNCT
ejpam-5987	169	16	19	19	NUM
ejpam-5987	169	17	)	)	PUNCT
ejpam-5987	169	18	in	in	ADP
ejpam-5987	169	19	eq.(3	eq.(3	NOUN
ejpam-5987	169	20	)	)	PUNCT
ejpam-5987	169	21	,	,	PUNCT
ejpam-5987	169	22	a	a	DET
ejpam-5987	169	23	non	non	ADJ
ejpam-5987	169	24	-	-	ADJ
ejpam-5987	169	25	soliton	soliton	ADJ
ejpam-5987	169	26	solution	solution	NOUN
ejpam-5987	169	27	for	for	ADP
ejpam-5987	169	28	eq.(1	eq.(1	ADJ
ejpam-5987	169	29	)	)	PUNCT
ejpam-5987	169	30	can	can	AUX
ejpam-5987	169	31	be	be	AUX
ejpam-5987	169	32	established	establish	VERB
ejpam-5987	169	33	in	in	ADP
ejpam-5987	169	34	the	the	DET
ejpam-5987	169	35	following	follow	VERB
ejpam-5987	169	36	manner	manner	NOUN
ejpam-5987	169	37	u(x	u(x	NOUN
ejpam-5987	169	38	,	,	PUNCT
ejpam-5987	169	39	y	y	PROPN
ejpam-5987	169	40	,	,	PUNCT
ejpam-5987	169	41	z	z	PROPN
ejpam-5987	169	42	,	,	PUNCT
ejpam-5987	169	43	t	t	PROPN
ejpam-5987	169	44	)	)	PUNCT
ejpam-5987	169	45	=	=	PUNCT
ejpam-5987	170	1	(	(	PUNCT
ejpam-5987	170	2	15κα+	15κα+	NUM
ejpam-5987	170	3	2ε0	2ε0	NUM
ejpam-5987	170	4	)	)	PUNCT
ejpam-5987	170	5	sin	sin	NOUN
ejpam-5987	170	6	(	(	PUNCT
ejpam-5987	170	7	2α3κ3t+	2α3κ3t+	NUM
ejpam-5987	170	8	κξ	κξ	NOUN
ejpam-5987	170	9	)	)	PUNCT
ejpam-5987	171	1	+	+	CCONJ
ejpam-5987	171	2	ε0	ε0	PROPN
ejpam-5987	171	3	cos	cos	PROPN
ejpam-5987	171	4	(	(	PUNCT
ejpam-5987	171	5	2α3κ3t+	2α3κ3t+	NUM
ejpam-5987	171	6	κξ	κξ	NOUN
ejpam-5987	171	7	)	)	PUNCT
ejpam-5987	171	8	2	2	NUM
ejpam-5987	171	9	sin(2α3κ3t+	sin(2α3κ3t+	NOUN
ejpam-5987	171	10	κξ	κξ	NOUN
ejpam-5987	171	11	)	)	PUNCT
ejpam-5987	171	12	+	+	CCONJ
ejpam-5987	171	13	cos(2α3κ3t+	cos(2α3κ3t+	ADJ
ejpam-5987	171	14	κξ	κξ	NOUN
ejpam-5987	171	15	)	)	PUNCT
ejpam-5987	171	16	+	+	NUM
ejpam-5987	172	1	f2(y	f2(y	PROPN
ejpam-5987	172	2	,	,	PUNCT
ejpam-5987	172	3	z	z	NOUN
ejpam-5987	172	4	)	)	PUNCT
ejpam-5987	172	5	(	(	PUNCT
ejpam-5987	172	6	∂	∂	NUM
ejpam-5987	172	7	∂tf1(z	∂tf1(z	PROPN
ejpam-5987	172	8	,	,	PUNCT
ejpam-5987	172	9	t	t	PROPN
ejpam-5987	172	10	)	)	PUNCT
ejpam-5987	172	11	)	)	PUNCT
ejpam-5987	173	1	α2	α2	ADV
ejpam-5987	173	2	−	−	PROPN
ejpam-5987	173	3	3y	3y	NUM
ejpam-5987	173	4	(	(	PUNCT
ejpam-5987	173	5	∂	∂	NUM
ejpam-5987	173	6	∂zf1(z	∂zf1(z	PROPN
ejpam-5987	173	7	,	,	PUNCT
ejpam-5987	173	8	t	t	PROPN
ejpam-5987	173	9	)	)	PUNCT
ejpam-5987	173	10	)	)	PUNCT
ejpam-5987	174	1	+	+	CCONJ
ejpam-5987	174	2	3	3	NUM
ejpam-5987	174	3	(	(	PUNCT
ejpam-5987	174	4	∫	∫	PROPN
ejpam-5987	174	5	(	(	PUNCT
ejpam-5987	174	6	∂	∂	NUM
ejpam-5987	174	7	∂zf2(y	∂zf2(y	ADJ
ejpam-5987	174	8	,	,	PUNCT
ejpam-5987	174	9	z	z	NOUN
ejpam-5987	174	10	)	)	PUNCT
ejpam-5987	174	11	)	)	PUNCT
ejpam-5987	175	1	dy	dy	NOUN
ejpam-5987	175	2	)	)	PUNCT
ejpam-5987	175	3	2α	2α	PROPN
ejpam-5987	175	4	+	+	CCONJ
ejpam-5987	175	5	λ(z	λ(z	NOUN
ejpam-5987	175	6	,	,	PUNCT
ejpam-5987	175	7	t	t	PROPN
ejpam-5987	175	8	)	)	PUNCT
ejpam-5987	175	9	,	,	PUNCT
ejpam-5987	175	10	(	(	PUNCT
ejpam-5987	175	11	42	42	X
ejpam-5987	175	12	)	)	PUNCT
ejpam-5987	175	13	s.	s.	PROPN
ejpam-5987	175	14	a.	a.	PROPN
ejpam-5987	175	15	m.	m.	PROPN
ejpam-5987	175	16	alsallami	alsallami	PROPN
ejpam-5987	175	17	,	,	PUNCT
ejpam-5987	175	18	m.	m.	NOUN
ejpam-5987	175	19	alkinidri	alkinidri	PROPN
ejpam-5987	175	20	/	/	SYM
ejpam-5987	175	21	eur	eur	PROPN
ejpam-5987	175	22	.	.	PUNCT
ejpam-5987	176	1	j.	j.	PROPN
ejpam-5987	176	2	pure	pure	PROPN
ejpam-5987	176	3	appl	appl	PROPN
ejpam-5987	176	4	.	.	PROPN
ejpam-5987	176	5	math	math	PROPN
ejpam-5987	176	6	,	,	PUNCT
ejpam-5987	176	7	18	18	NUM
ejpam-5987	176	8	(	(	PUNCT
ejpam-5987	176	9	2	2	NUM
ejpam-5987	176	10	)	)	PUNCT
ejpam-5987	176	11	(	(	PUNCT
ejpam-5987	176	12	2025	2025	NUM
ejpam-5987	176	13	)	)	PUNCT
ejpam-5987	176	14	,	,	PUNCT
ejpam-5987	176	15	5987	5987	NUM
ejpam-5987	176	16	8	8	NUM
ejpam-5987	176	17	of	of	ADP
ejpam-5987	176	18	22	22	NUM
ejpam-5987	176	19	where	where	SCONJ
ejpam-5987	176	20	ξ	ξ	X
ejpam-5987	176	21	=	=	SYM
ejpam-5987	176	22	2α3κ3t+	2α3κ3t+	NUM
ejpam-5987	176	23	κ	κ	X
ejpam-5987	176	24	(	(	PUNCT
ejpam-5987	176	25	αx+	αx+	PROPN
ejpam-5987	176	26	f2(y	f2(y	PROPN
ejpam-5987	176	27	,	,	PUNCT
ejpam-5987	176	28	z	z	NOUN
ejpam-5987	176	29	)	)	PUNCT
ejpam-5987	176	30	+	+	CCONJ
ejpam-5987	176	31	f1(z	f1(z	PROPN
ejpam-5987	176	32	,	,	PUNCT
ejpam-5987	176	33	t	t	PROPN
ejpam-5987	176	34	)	)	PUNCT
ejpam-5987	176	35	)	)	PUNCT
ejpam-5987	176	36	.	.	PUNCT
ejpam-5987	177	1	set	set	VERB
ejpam-5987	177	2	3	3	NUM
ejpam-5987	177	3	:	:	PUNCT
ejpam-5987	177	4	for	for	ADP
ejpam-5987	177	5	[	[	X
ejpam-5987	177	6	ς1	ς1	NOUN
ejpam-5987	177	7	,	,	PUNCT
ejpam-5987	177	8	ς2	ς2	PROPN
ejpam-5987	177	9	,	,	PUNCT
ejpam-5987	177	10	ς3	ς3	NOUN
ejpam-5987	177	11	,	,	PUNCT
ejpam-5987	177	12	ς4	ς4	PROPN
ejpam-5987	177	13	]	]	X
ejpam-5987	177	14	=	=	PUNCT
ejpam-5987	178	1	[	[	X
ejpam-5987	178	2	1	1	NUM
ejpam-5987	178	3	,	,	PUNCT
ejpam-5987	178	4	1	1	NUM
ejpam-5987	178	5	,	,	PUNCT
ejpam-5987	178	6	1	1	NUM
ejpam-5987	178	7	,	,	PUNCT
ejpam-5987	178	8	0	0	NUM
ejpam-5987	178	9	]	]	PUNCT
ejpam-5987	178	10	and	and	CCONJ
ejpam-5987	178	11	[	[	X
ejpam-5987	178	12	ϑ1	ϑ1	NOUN
ejpam-5987	178	13	,	,	PUNCT
ejpam-5987	178	14	ϑ2	ϑ2	PROPN
ejpam-5987	178	15	,	,	PUNCT
ejpam-5987	178	16	ϑ3	ϑ3	PROPN
ejpam-5987	178	17	,	,	PUNCT
ejpam-5987	178	18	ϑ4	ϑ4	VERB
ejpam-5987	178	19	]	]	PUNCT
ejpam-5987	178	20	=	=	PUNCT
ejpam-5987	179	1	[	[	X
ejpam-5987	179	2	1	1	NUM
ejpam-5987	179	3	,	,	PUNCT
ejpam-5987	179	4	2	2	NUM
ejpam-5987	179	5	,	,	PUNCT
ejpam-5987	179	6	0	0	NUM
ejpam-5987	179	7	,	,	PUNCT
ejpam-5987	179	8	0	0	NUM
ejpam-5987	179	9	]	]	PUNCT
ejpam-5987	179	10	,	,	PUNCT
ejpam-5987	179	11	eq.(31	eq.(31	PROPN
ejpam-5987	179	12	)	)	PUNCT
ejpam-5987	179	13	reduces	reduce	VERB
ejpam-5987	179	14	to	to	PART
ejpam-5987	179	15	γ(℘	γ(℘	NOUN
ejpam-5987	179	16	)	)	PUNCT
ejpam-5987	179	17	=	=	PUNCT
ejpam-5987	179	18	e℘	e℘	PROPN
ejpam-5987	180	1	+	+	CCONJ
ejpam-5987	180	2	e2℘.	e2℘.	NOUN
ejpam-5987	180	3	(	(	PUNCT
ejpam-5987	180	4	43	43	NUM
ejpam-5987	180	5	)	)	PUNCT
ejpam-5987	180	6	moreover	moreover	ADV
ejpam-5987	180	7	,	,	PUNCT
ejpam-5987	180	8	the	the	DET
ejpam-5987	180	9	rest	rest	NOUN
ejpam-5987	180	10	of	of	ADP
ejpam-5987	180	11	the	the	DET
ejpam-5987	180	12	parameters	parameter	NOUN
ejpam-5987	180	13	can	can	AUX
ejpam-5987	180	14	be	be	AUX
ejpam-5987	180	15	attained	attain	VERB
ejpam-5987	180	16	as	as	ADP
ejpam-5987	180	17	ω	ω	NOUN
ejpam-5987	180	18	=	=	SYM
ejpam-5987	180	19	−κ3α3	−κ3α3	PROPN
ejpam-5987	180	20	2	2	NUM
ejpam-5987	180	21	,	,	PUNCT
ejpam-5987	180	22	ε1	ε1	PROPN
ejpam-5987	180	23	=	=	SYM
ejpam-5987	180	24	−3κα	−3κα	PROPN
ejpam-5987	180	25	,	,	PUNCT
ejpam-5987	180	26	γ1	γ1	NOUN
ejpam-5987	180	27	=	=	SYM
ejpam-5987	180	28	0	0	NUM
ejpam-5987	180	29	,	,	PUNCT
ejpam-5987	180	30	(	(	PUNCT
ejpam-5987	180	31	44	44	NUM
ejpam-5987	180	32	)	)	PUNCT
ejpam-5987	180	33	where	where	SCONJ
ejpam-5987	180	34	κ	κ	NOUN
ejpam-5987	180	35	,	,	PUNCT
ejpam-5987	180	36	ε0	ε0	PROPN
ejpam-5987	180	37	are	be	AUX
ejpam-5987	180	38	free	free	ADJ
ejpam-5987	180	39	-	-	PUNCT
ejpam-5987	180	40	chosen	choose	VERB
ejpam-5987	180	41	parameters	parameter	NOUN
ejpam-5987	180	42	.	.	PUNCT
ejpam-5987	181	1	taking	take	VERB
ejpam-5987	181	2	the	the	DET
ejpam-5987	181	3	obtained	obtain	VERB
ejpam-5987	181	4	results	result	NOUN
ejpam-5987	181	5	into	into	ADP
ejpam-5987	181	6	account	account	NOUN
ejpam-5987	181	7	in	in	ADP
ejpam-5987	181	8	eqs.(32	eqs.(32	NOUN
ejpam-5987	181	9	)	)	PUNCT
ejpam-5987	181	10	and	and	CCONJ
ejpam-5987	181	11	(	(	PUNCT
ejpam-5987	181	12	43	43	NUM
ejpam-5987	181	13	)	)	PUNCT
ejpam-5987	181	14	,	,	PUNCT
ejpam-5987	181	15	one	one	PRON
ejpam-5987	181	16	gets	get	VERB
ejpam-5987	181	17	φ(℘	φ(℘	NOUN
ejpam-5987	181	18	)	)	PUNCT
ejpam-5987	181	19	=	=	PUNCT
ejpam-5987	182	1	(	(	PUNCT
ejpam-5987	182	2	−6κα+	−6κα+	AUX
ejpam-5987	182	3	ε0	ε0	NOUN
ejpam-5987	182	4	)	)	PUNCT
ejpam-5987	182	5	e	e	NOUN
ejpam-5987	182	6	℘	℘	NUM
ejpam-5987	182	7	−	−	PROPN
ejpam-5987	182	8	3κα+	3κα+	PROPN
ejpam-5987	182	9	ε0	ε0	PROPN
ejpam-5987	182	10	1	1	NUM
ejpam-5987	182	11	+	+	CCONJ
ejpam-5987	182	12	e℘	e℘	PROPN
ejpam-5987	182	13	.	.	PUNCT
ejpam-5987	183	1	(	(	PUNCT
ejpam-5987	183	2	45	45	NUM
ejpam-5987	183	3	)	)	PUNCT
ejpam-5987	183	4	in	in	ADP
ejpam-5987	183	5	light	light	NOUN
ejpam-5987	183	6	of	of	ADP
ejpam-5987	183	7	the	the	DET
ejpam-5987	183	8	recent	recent	ADJ
ejpam-5987	183	9	result	result	NOUN
ejpam-5987	183	10	along	along	ADP
ejpam-5987	183	11	with	with	ADP
ejpam-5987	183	12	eq.(28	eq.(28	NOUN
ejpam-5987	183	13	)	)	PUNCT
ejpam-5987	183	14	,	,	PUNCT
ejpam-5987	183	15	the	the	DET
ejpam-5987	183	16	solution	solution	NOUN
ejpam-5987	183	17	for	for	ADP
ejpam-5987	183	18	eq.(20	eq.(20	PROPN
ejpam-5987	183	19	)	)	PUNCT
ejpam-5987	183	20	is	be	AUX
ejpam-5987	183	21	obtained	obtain	VERB
ejpam-5987	183	22	as	as	ADP
ejpam-5987	183	23	φ(ξ	φ(ξ	PROPN
ejpam-5987	183	24	,	,	PUNCT
ejpam-5987	183	25	t	t	PROPN
ejpam-5987	183	26	)	)	PUNCT
ejpam-5987	183	27	=	=	PUNCT
ejpam-5987	184	1	(	(	PUNCT
ejpam-5987	184	2	−6κα+	−6κα+	NOUN
ejpam-5987	184	3	ε0	ε0	NOUN
ejpam-5987	184	4	)	)	PUNCT
ejpam-5987	184	5	e	e	NOUN
ejpam-5987	184	6	−	−	PROPN
ejpam-5987	184	7	1	1	NUM
ejpam-5987	184	8	2	2	NUM
ejpam-5987	184	9	α3κ3t+κξ	α3κ3t+κξ	PROPN
ejpam-5987	184	10	−	−	PROPN
ejpam-5987	184	11	3κα+	3κα+	NUM
ejpam-5987	184	12	ε0	ε0	NOUN
ejpam-5987	184	13	1	1	NUM
ejpam-5987	184	14	+	+	CCONJ
ejpam-5987	184	15	e−	e−	PROPN
ejpam-5987	184	16	1	1	NUM
ejpam-5987	184	17	2	2	NUM
ejpam-5987	184	18	α3κ3t+κξ	α3κ3t+κξ	PROPN
ejpam-5987	184	19	.	.	PUNCT
ejpam-5987	185	1	(	(	PUNCT
ejpam-5987	185	2	46	46	NUM
ejpam-5987	185	3	)	)	PUNCT
ejpam-5987	185	4	consequently	consequently	ADV
ejpam-5987	185	5	,	,	PUNCT
ejpam-5987	185	6	using	use	VERB
ejpam-5987	185	7	eqs.(46	eqs.(46	NOUN
ejpam-5987	185	8	)	)	PUNCT
ejpam-5987	185	9	,	,	PUNCT
ejpam-5987	185	10	(	(	PUNCT
ejpam-5987	185	11	18	18	NUM
ejpam-5987	185	12	)	)	PUNCT
ejpam-5987	185	13	and	and	CCONJ
ejpam-5987	185	14	(	(	PUNCT
ejpam-5987	185	15	19	19	NUM
ejpam-5987	185	16	)	)	PUNCT
ejpam-5987	185	17	in	in	ADP
ejpam-5987	185	18	eq.(3	eq.(3	NOUN
ejpam-5987	185	19	)	)	PUNCT
ejpam-5987	185	20	,	,	PUNCT
ejpam-5987	185	21	a	a	DET
ejpam-5987	185	22	non	non	ADJ
ejpam-5987	185	23	-	-	ADJ
ejpam-5987	185	24	soliton	soliton	ADJ
ejpam-5987	185	25	solution	solution	NOUN
ejpam-5987	185	26	for	for	ADP
ejpam-5987	185	27	eq.(1	eq.(1	ADJ
ejpam-5987	185	28	)	)	PUNCT
ejpam-5987	185	29	can	can	AUX
ejpam-5987	185	30	be	be	AUX
ejpam-5987	185	31	established	establish	VERB
ejpam-5987	185	32	in	in	ADP
ejpam-5987	185	33	the	the	DET
ejpam-5987	185	34	following	follow	VERB
ejpam-5987	185	35	manner	manner	NOUN
ejpam-5987	185	36	u(x	u(x	NOUN
ejpam-5987	185	37	,	,	PUNCT
ejpam-5987	185	38	y	y	PROPN
ejpam-5987	185	39	,	,	PUNCT
ejpam-5987	185	40	z	z	PROPN
ejpam-5987	185	41	,	,	PUNCT
ejpam-5987	185	42	t	t	PROPN
ejpam-5987	185	43	)	)	PUNCT
ejpam-5987	185	44	=	=	PUNCT
ejpam-5987	186	1	(	(	PUNCT
ejpam-5987	186	2	−6κα+	−6κα+	NOUN
ejpam-5987	186	3	ε0	ε0	NOUN
ejpam-5987	186	4	)	)	PUNCT
ejpam-5987	186	5	e	e	X
ejpam-5987	187	1	−α3κ3	−α3κ3	NOUN
ejpam-5987	187	2	t	t	PROPN
ejpam-5987	187	3	2	2	NUM
ejpam-5987	187	4	+	+	ADP
ejpam-5987	187	5	κ(αx+f2(y	κ(αx+f2(y	ADJ
ejpam-5987	187	6	,	,	PUNCT
ejpam-5987	187	7	z)+f1(z	z)+f1(z	PROPN
ejpam-5987	187	8	,	,	PUNCT
ejpam-5987	187	9	t	t	PROPN
ejpam-5987	187	10	)	)	PUNCT
ejpam-5987	187	11	)	)	PUNCT
ejpam-5987	187	12	−	−	PROPN
ejpam-5987	188	1	3κα+	3κα+	NUM
ejpam-5987	188	2	ε0	ε0	NOUN
ejpam-5987	188	3	1	1	NUM
ejpam-5987	188	4	+	+	CCONJ
ejpam-5987	188	5	e−	e−	PROPN
ejpam-5987	188	6	α3κ3	α3κ3	NOUN
ejpam-5987	188	7	t	t	PROPN
ejpam-5987	188	8	2	2	NUM
ejpam-5987	188	9	+	+	ADP
ejpam-5987	188	10	κ(αx+f2(y	κ(αx+f2(y	ADJ
ejpam-5987	188	11	,	,	PUNCT
ejpam-5987	188	12	z)+f1(z	z)+f1(z	PROPN
ejpam-5987	188	13	,	,	PUNCT
ejpam-5987	188	14	t	t	PROPN
ejpam-5987	188	15	)	)	PUNCT
ejpam-5987	188	16	)	)	PUNCT
ejpam-5987	189	1	+	+	CCONJ
ejpam-5987	189	2	f2(y	f2(y	PROPN
ejpam-5987	189	3	,	,	PUNCT
ejpam-5987	189	4	z	z	NOUN
ejpam-5987	189	5	)	)	PUNCT
ejpam-5987	189	6	(	(	PUNCT
ejpam-5987	189	7	∂	∂	NUM
ejpam-5987	189	8	∂tf1(z	∂tf1(z	PROPN
ejpam-5987	189	9	,	,	PUNCT
ejpam-5987	189	10	t	t	PROPN
ejpam-5987	189	11	)	)	PUNCT
ejpam-5987	189	12	)	)	PUNCT
ejpam-5987	190	1	α2	α2	ADV
ejpam-5987	190	2	−	−	PROPN
ejpam-5987	190	3	3y	3y	NUM
ejpam-5987	190	4	(	(	PUNCT
ejpam-5987	190	5	∂	∂	NUM
ejpam-5987	190	6	∂zf1(z	∂zf1(z	PROPN
ejpam-5987	190	7	,	,	PUNCT
ejpam-5987	190	8	t	t	PROPN
ejpam-5987	190	9	)	)	PUNCT
ejpam-5987	190	10	)	)	PUNCT
ejpam-5987	191	1	+	+	CCONJ
ejpam-5987	191	2	3	3	NUM
ejpam-5987	191	3	(	(	PUNCT
ejpam-5987	191	4	∫	∫	PROPN
ejpam-5987	191	5	(	(	PUNCT
ejpam-5987	191	6	∂	∂	NUM
ejpam-5987	191	7	∂zf2(y	∂zf2(y	ADJ
ejpam-5987	191	8	,	,	PUNCT
ejpam-5987	191	9	z	z	NOUN
ejpam-5987	191	10	)	)	PUNCT
ejpam-5987	191	11	)	)	PUNCT
ejpam-5987	192	1	dy	dy	NOUN
ejpam-5987	192	2	)	)	PUNCT
ejpam-5987	192	3	2α	2α	PROPN
ejpam-5987	192	4	+	+	CCONJ
ejpam-5987	192	5	λ(z	λ(z	NOUN
ejpam-5987	192	6	,	,	PUNCT
ejpam-5987	192	7	t	t	PROPN
ejpam-5987	192	8	)	)	PUNCT
ejpam-5987	192	9	.	.	PUNCT
ejpam-5987	193	1	(	(	PUNCT
ejpam-5987	193	2	47	47	NUM
ejpam-5987	193	3	)	)	PUNCT
ejpam-5987	193	4	set	set	VERB
ejpam-5987	193	5	4	4	NUM
ejpam-5987	193	6	:	:	PUNCT
ejpam-5987	193	7	for	for	ADP
ejpam-5987	193	8	[	[	X
ejpam-5987	193	9	ς1	ς1	NOUN
ejpam-5987	193	10	,	,	PUNCT
ejpam-5987	193	11	ς2	ς2	PROPN
ejpam-5987	193	12	,	,	PUNCT
ejpam-5987	193	13	ς3	ς3	NOUN
ejpam-5987	193	14	,	,	PUNCT
ejpam-5987	193	15	ς4	ς4	PROPN
ejpam-5987	193	16	]	]	X
ejpam-5987	193	17	=	=	PUNCT
ejpam-5987	194	1	[	[	X
ejpam-5987	194	2	2	2	NUM
ejpam-5987	194	3	,	,	PUNCT
ejpam-5987	194	4	0	0	NUM
ejpam-5987	194	5	,	,	PUNCT
ejpam-5987	194	6	1	1	NUM
ejpam-5987	194	7	,	,	PUNCT
ejpam-5987	194	8	1	1	NUM
ejpam-5987	194	9	]	]	PUNCT
ejpam-5987	194	10	and	and	CCONJ
ejpam-5987	194	11	[	[	X
ejpam-5987	194	12	ϑ1	ϑ1	NOUN
ejpam-5987	194	13	,	,	PUNCT
ejpam-5987	194	14	ϑ2	ϑ2	PROPN
ejpam-5987	194	15	,	,	PUNCT
ejpam-5987	194	16	ϑ3	ϑ3	PROPN
ejpam-5987	194	17	,	,	PUNCT
ejpam-5987	194	18	ϑ4	ϑ4	VERB
ejpam-5987	194	19	]	]	PUNCT
ejpam-5987	194	20	=	=	PUNCT
ejpam-5987	195	1	[	[	X
ejpam-5987	195	2	2	2	NUM
ejpam-5987	195	3	+	+	NUM
ejpam-5987	195	4	i	i	PROPN
ejpam-5987	195	5	,	,	PUNCT
ejpam-5987	195	6	0	0	NUM
ejpam-5987	195	7	,	,	PUNCT
ejpam-5987	195	8	2i	2i	NUM
ejpam-5987	195	9	,	,	PUNCT
ejpam-5987	195	10	0	0	NUM
ejpam-5987	195	11	]	]	PUNCT
ejpam-5987	195	12	,	,	PUNCT
ejpam-5987	195	13	eq.(31	eq.(31	PROPN
ejpam-5987	195	14	)	)	PUNCT
ejpam-5987	195	15	reduces	reduce	VERB
ejpam-5987	195	16	to	to	PART
ejpam-5987	195	17	γ(℘	γ(℘	NOUN
ejpam-5987	195	18	)	)	PUNCT
ejpam-5987	195	19	=	=	PUNCT
ejpam-5987	195	20	e2ξ	e2ξ	ADJ
ejpam-5987	195	21	sec(ξ	sec(ξ	NOUN
ejpam-5987	195	22	)	)	PUNCT
ejpam-5987	195	23	.	.	PUNCT
ejpam-5987	196	1	(	(	PUNCT
ejpam-5987	196	2	48	48	NUM
ejpam-5987	196	3	)	)	PUNCT
ejpam-5987	196	4	additionally	additionally	ADV
ejpam-5987	196	5	,	,	PUNCT
ejpam-5987	196	6	the	the	DET
ejpam-5987	196	7	remaining	remain	VERB
ejpam-5987	196	8	parameters	parameter	NOUN
ejpam-5987	196	9	can	can	AUX
ejpam-5987	196	10	be	be	AUX
ejpam-5987	196	11	obtained	obtain	VERB
ejpam-5987	196	12	as	as	SCONJ
ejpam-5987	196	13	follows	follow	VERB
ejpam-5987	196	14	ω	ω	PROPN
ejpam-5987	196	15	=	=	SYM
ejpam-5987	196	16	2κ3α3	2κ3α3	NUM
ejpam-5987	196	17	,	,	PUNCT
ejpam-5987	196	18	ε1	ε1	PROPN
ejpam-5987	196	19	=	=	SYM
ejpam-5987	196	20	3κα	3κα	NOUN
ejpam-5987	196	21	,	,	PUNCT
ejpam-5987	196	22	γ1	γ1	NOUN
ejpam-5987	196	23	=	=	SYM
ejpam-5987	196	24	0	0	NUM
ejpam-5987	196	25	,	,	PUNCT
ejpam-5987	196	26	(	(	PUNCT
ejpam-5987	196	27	49	49	NUM
ejpam-5987	196	28	)	)	PUNCT
ejpam-5987	196	29	where	where	SCONJ
ejpam-5987	196	30	κ	κ	NOUN
ejpam-5987	196	31	,	,	PUNCT
ejpam-5987	196	32	ε0	ε0	PROPN
ejpam-5987	196	33	are	be	AUX
ejpam-5987	196	34	free	free	ADJ
ejpam-5987	196	35	-	-	PUNCT
ejpam-5987	196	36	chosen	choose	VERB
ejpam-5987	196	37	parameters	parameter	NOUN
ejpam-5987	196	38	.	.	PUNCT
ejpam-5987	197	1	taking	take	VERB
ejpam-5987	197	2	the	the	DET
ejpam-5987	197	3	obtained	obtain	VERB
ejpam-5987	197	4	results	result	NOUN
ejpam-5987	197	5	into	into	ADP
ejpam-5987	197	6	account	account	NOUN
ejpam-5987	197	7	in	in	ADP
ejpam-5987	197	8	eqs.(32	eqs.(32	NOUN
ejpam-5987	197	9	)	)	PUNCT
ejpam-5987	197	10	and	and	CCONJ
ejpam-5987	197	11	(	(	PUNCT
ejpam-5987	197	12	48	48	NUM
ejpam-5987	197	13	)	)	PUNCT
ejpam-5987	197	14	,	,	PUNCT
ejpam-5987	197	15	we	we	PRON
ejpam-5987	197	16	obtain	obtain	VERB
ejpam-5987	197	17	φ(℘	φ(℘	NOUN
ejpam-5987	197	18	)	)	PUNCT
ejpam-5987	197	19	=	=	SYM
ejpam-5987	197	20	3ακ	3ακ	ADJ
ejpam-5987	197	21	tan(℘	tan(℘	NOUN
ejpam-5987	197	22	)	)	PUNCT
ejpam-5987	198	1	+	+	CCONJ
ejpam-5987	198	2	6κα+	6κα+	PROPN
ejpam-5987	198	3	ε0	ε0	NOUN
ejpam-5987	198	4	.	.	PUNCT
ejpam-5987	199	1	(	(	PUNCT
ejpam-5987	199	2	50	50	NUM
ejpam-5987	199	3	)	)	PUNCT
ejpam-5987	199	4	in	in	ADP
ejpam-5987	199	5	light	light	NOUN
ejpam-5987	199	6	of	of	ADP
ejpam-5987	199	7	the	the	DET
ejpam-5987	199	8	recent	recent	ADJ
ejpam-5987	199	9	result	result	NOUN
ejpam-5987	199	10	along	along	ADP
ejpam-5987	199	11	with	with	ADP
ejpam-5987	199	12	eq.(28	eq.(28	NOUN
ejpam-5987	199	13	)	)	PUNCT
ejpam-5987	199	14	,	,	PUNCT
ejpam-5987	199	15	the	the	DET
ejpam-5987	199	16	solution	solution	NOUN
ejpam-5987	199	17	for	for	ADP
ejpam-5987	199	18	eq.(20	eq.(20	PROPN
ejpam-5987	199	19	)	)	PUNCT
ejpam-5987	199	20	is	be	AUX
ejpam-5987	199	21	obtained	obtain	VERB
ejpam-5987	199	22	as	as	ADP
ejpam-5987	199	23	φ(ξ	φ(ξ	PROPN
ejpam-5987	199	24	,	,	PUNCT
ejpam-5987	199	25	t	t	PROPN
ejpam-5987	199	26	)	)	PUNCT
ejpam-5987	200	1	=	=	SYM
ejpam-5987	200	2	3ακ	3ακ	ADJ
ejpam-5987	200	3	tan	tan	NOUN
ejpam-5987	200	4	(	(	PUNCT
ejpam-5987	200	5	2α3κ3t+	2α3κ3t+	NUM
ejpam-5987	200	6	κξ	κξ	NOUN
ejpam-5987	200	7	)	)	PUNCT
ejpam-5987	200	8	+	+	CCONJ
ejpam-5987	200	9	6κα+	6κα+	PROPN
ejpam-5987	200	10	ε0	ε0	NOUN
ejpam-5987	200	11	.	.	PUNCT
ejpam-5987	201	1	(	(	PUNCT
ejpam-5987	201	2	51	51	NUM
ejpam-5987	201	3	)	)	PUNCT
ejpam-5987	201	4	s.	s.	PROPN
ejpam-5987	201	5	a.	a.	PROPN
ejpam-5987	201	6	m.	m.	PROPN
ejpam-5987	201	7	alsallami	alsallami	PROPN
ejpam-5987	201	8	,	,	PUNCT
ejpam-5987	201	9	m.	m.	NOUN
ejpam-5987	201	10	alkinidri	alkinidri	PROPN
ejpam-5987	201	11	/	/	SYM
ejpam-5987	201	12	eur	eur	PROPN
ejpam-5987	201	13	.	.	PUNCT
ejpam-5987	202	1	j.	j.	PROPN
ejpam-5987	202	2	pure	pure	PROPN
ejpam-5987	202	3	appl	appl	PROPN
ejpam-5987	202	4	.	.	PROPN
ejpam-5987	202	5	math	math	PROPN
ejpam-5987	202	6	,	,	PUNCT
ejpam-5987	202	7	18	18	NUM
ejpam-5987	202	8	(	(	PUNCT
ejpam-5987	202	9	2	2	NUM
ejpam-5987	202	10	)	)	PUNCT
ejpam-5987	202	11	(	(	PUNCT
ejpam-5987	202	12	2025	2025	NUM
ejpam-5987	202	13	)	)	PUNCT
ejpam-5987	202	14	,	,	PUNCT
ejpam-5987	202	15	5987	5987	NUM
ejpam-5987	202	16	9	9	NUM
ejpam-5987	202	17	of	of	ADP
ejpam-5987	202	18	22	22	NUM
ejpam-5987	202	19	hence	hence	ADV
ejpam-5987	202	20	,	,	PUNCT
ejpam-5987	202	21	using	use	VERB
ejpam-5987	202	22	eqs.(51	eqs.(51	PROPN
ejpam-5987	202	23	)	)	PUNCT
ejpam-5987	202	24	,	,	PUNCT
ejpam-5987	202	25	(	(	PUNCT
ejpam-5987	202	26	18	18	NUM
ejpam-5987	202	27	)	)	PUNCT
ejpam-5987	202	28	and	and	CCONJ
ejpam-5987	202	29	(	(	PUNCT
ejpam-5987	202	30	19	19	NUM
ejpam-5987	202	31	)	)	PUNCT
ejpam-5987	202	32	in	in	ADP
ejpam-5987	202	33	eq.(3	eq.(3	NOUN
ejpam-5987	202	34	)	)	PUNCT
ejpam-5987	202	35	,	,	PUNCT
ejpam-5987	202	36	a	a	DET
ejpam-5987	202	37	non	non	ADJ
ejpam-5987	202	38	-	-	ADJ
ejpam-5987	202	39	soliton	soliton	ADJ
ejpam-5987	202	40	solution	solution	NOUN
ejpam-5987	202	41	for	for	ADP
ejpam-5987	202	42	eq.(1	eq.(1	ADJ
ejpam-5987	202	43	)	)	PUNCT
ejpam-5987	202	44	is	be	AUX
ejpam-5987	202	45	obtained	obtain	VERB
ejpam-5987	202	46	as	as	ADP
ejpam-5987	202	47	u(x	u(x	NOUN
ejpam-5987	202	48	,	,	PUNCT
ejpam-5987	202	49	y	y	PROPN
ejpam-5987	202	50	,	,	PUNCT
ejpam-5987	202	51	z	z	PROPN
ejpam-5987	202	52	,	,	PUNCT
ejpam-5987	202	53	t	t	PROPN
ejpam-5987	202	54	)	)	PUNCT
ejpam-5987	202	55	=	=	SYM
ejpam-5987	203	1	3ακ	3ακ	ADJ
ejpam-5987	203	2	tan	tan	NOUN
ejpam-5987	203	3	(	(	PUNCT
ejpam-5987	203	4	2α3κ3t+	2α3κ3t+	NUM
ejpam-5987	203	5	κ	κ	X
ejpam-5987	203	6	(	(	PUNCT
ejpam-5987	203	7	αx+	αx+	PROPN
ejpam-5987	203	8	f2(y	f2(y	PROPN
ejpam-5987	203	9	,	,	PUNCT
ejpam-5987	203	10	z	z	NOUN
ejpam-5987	203	11	)	)	PUNCT
ejpam-5987	203	12	+	+	CCONJ
ejpam-5987	203	13	f1(z	f1(z	PROPN
ejpam-5987	203	14	,	,	PUNCT
ejpam-5987	203	15	t	t	PROPN
ejpam-5987	203	16	)	)	PUNCT
ejpam-5987	203	17	)	)	PUNCT
ejpam-5987	203	18	)	)	PUNCT
ejpam-5987	204	1	+	+	CCONJ
ejpam-5987	204	2	f2(y	f2(y	PROPN
ejpam-5987	204	3	,	,	PUNCT
ejpam-5987	204	4	z	z	NOUN
ejpam-5987	204	5	)	)	PUNCT
ejpam-5987	204	6	(	(	PUNCT
ejpam-5987	204	7	∂	∂	NUM
ejpam-5987	204	8	∂tf1(z	∂tf1(z	PROPN
ejpam-5987	204	9	,	,	PUNCT
ejpam-5987	204	10	t	t	PROPN
ejpam-5987	204	11	)	)	PUNCT
ejpam-5987	204	12	)	)	PUNCT
ejpam-5987	205	1	α2	α2	ADV
ejpam-5987	205	2	−	−	PROPN
ejpam-5987	205	3	3y	3y	NUM
ejpam-5987	205	4	(	(	PUNCT
ejpam-5987	205	5	∂	∂	NUM
ejpam-5987	205	6	∂zf1(z	∂zf1(z	PROPN
ejpam-5987	205	7	,	,	PUNCT
ejpam-5987	205	8	t	t	PROPN
ejpam-5987	205	9	)	)	PUNCT
ejpam-5987	205	10	)	)	PUNCT
ejpam-5987	206	1	+	+	CCONJ
ejpam-5987	206	2	3	3	NUM
ejpam-5987	206	3	(	(	PUNCT
ejpam-5987	206	4	∫	∫	PROPN
ejpam-5987	206	5	(	(	PUNCT
ejpam-5987	206	6	∂	∂	NUM
ejpam-5987	206	7	∂zf2(y	∂zf2(y	ADJ
ejpam-5987	206	8	,	,	PUNCT
ejpam-5987	206	9	z	z	NOUN
ejpam-5987	206	10	)	)	PUNCT
ejpam-5987	206	11	)	)	PUNCT
ejpam-5987	207	1	dy	dy	NOUN
ejpam-5987	207	2	)	)	PUNCT
ejpam-5987	207	3	2α	2α	PROPN
ejpam-5987	207	4	+	+	CCONJ
ejpam-5987	207	5	λ(z	λ(z	NOUN
ejpam-5987	207	6	,	,	PUNCT
ejpam-5987	207	7	t	t	PROPN
ejpam-5987	207	8	)	)	PUNCT
ejpam-5987	207	9	.	.	PUNCT
ejpam-5987	208	1	(	(	PUNCT
ejpam-5987	208	2	52	52	NUM
ejpam-5987	208	3	)	)	PUNCT
ejpam-5987	208	4	set	set	VERB
ejpam-5987	208	5	5	5	NUM
ejpam-5987	208	6	:	:	PUNCT
ejpam-5987	208	7	for	for	ADP
ejpam-5987	208	8	[	[	X
ejpam-5987	208	9	ς1	ς1	NOUN
ejpam-5987	208	10	,	,	PUNCT
ejpam-5987	208	11	ς2	ς2	PROPN
ejpam-5987	208	12	,	,	PUNCT
ejpam-5987	208	13	ς3	ς3	NOUN
ejpam-5987	208	14	,	,	PUNCT
ejpam-5987	208	15	ς4	ς4	PROPN
ejpam-5987	208	16	]	]	X
ejpam-5987	208	17	=	=	PUNCT
ejpam-5987	209	1	[	[	X
ejpam-5987	209	2	1,−1	1,−1	NUM
ejpam-5987	209	3	,	,	PUNCT
ejpam-5987	209	4	2i	2i	NUM
ejpam-5987	209	5	,	,	PUNCT
ejpam-5987	209	6	0	0	NUM
ejpam-5987	209	7	]	]	PUNCT
ejpam-5987	209	8	and	and	CCONJ
ejpam-5987	209	9	[	[	X
ejpam-5987	209	10	ϑ1	ϑ1	NOUN
ejpam-5987	209	11	,	,	PUNCT
ejpam-5987	209	12	ϑ2	ϑ2	PROPN
ejpam-5987	209	13	,	,	PUNCT
ejpam-5987	209	14	ϑ3	ϑ3	PROPN
ejpam-5987	209	15	,	,	PUNCT
ejpam-5987	209	16	ϑ4	ϑ4	VERB
ejpam-5987	209	17	]	]	PUNCT
ejpam-5987	209	18	=	=	PUNCT
ejpam-5987	210	1	[	[	X
ejpam-5987	210	2	1	1	NUM
ejpam-5987	210	3	+	+	NUM
ejpam-5987	210	4	i	i	PRON
ejpam-5987	210	5	,	,	PUNCT
ejpam-5987	210	6	1	1	NUM
ejpam-5987	210	7	−	−	PROPN
ejpam-5987	210	8	i	i	PRON
ejpam-5987	210	9	,	,	PUNCT
ejpam-5987	210	10	0	0	NUM
ejpam-5987	210	11	,	,	PUNCT
ejpam-5987	210	12	0	0	NUM
ejpam-5987	210	13	]	]	PUNCT
ejpam-5987	210	14	,	,	PUNCT
ejpam-5987	210	15	eq.(31	eq.(31	PROPN
ejpam-5987	210	16	)	)	PUNCT
ejpam-5987	210	17	reduces	reduce	VERB
ejpam-5987	210	18	to	to	PART
ejpam-5987	210	19	γ(℘	γ(℘	NOUN
ejpam-5987	210	20	)	)	PUNCT
ejpam-5987	210	21	=	=	SYM
ejpam-5987	210	22	e℘	e℘	PROPN
ejpam-5987	210	23	sin(℘	sin(℘	PROPN
ejpam-5987	210	24	)	)	PUNCT
ejpam-5987	210	25	.	.	PUNCT
ejpam-5987	211	1	(	(	PUNCT
ejpam-5987	211	2	53	53	NUM
ejpam-5987	211	3	)	)	PUNCT
ejpam-5987	211	4	moreover	moreover	ADV
ejpam-5987	211	5	,	,	PUNCT
ejpam-5987	211	6	the	the	DET
ejpam-5987	211	7	rest	rest	NOUN
ejpam-5987	211	8	of	of	ADP
ejpam-5987	211	9	the	the	DET
ejpam-5987	211	10	parameters	parameter	NOUN
ejpam-5987	211	11	can	can	AUX
ejpam-5987	211	12	be	be	AUX
ejpam-5987	211	13	attained	attain	VERB
ejpam-5987	211	14	as	as	ADP
ejpam-5987	211	15	ω	ω	PROPN
ejpam-5987	211	16	=	=	SYM
ejpam-5987	211	17	2κ3α3	2κ3α3	NUM
ejpam-5987	211	18	,	,	PUNCT
ejpam-5987	211	19	ε1	ε1	PROPN
ejpam-5987	211	20	=	=	SYM
ejpam-5987	211	21	−3κα	−3κα	PROPN
ejpam-5987	211	22	,	,	PUNCT
ejpam-5987	211	23	γ1	γ1	NOUN
ejpam-5987	211	24	=	=	SYM
ejpam-5987	211	25	0	0	NUM
ejpam-5987	211	26	,	,	PUNCT
ejpam-5987	211	27	(	(	PUNCT
ejpam-5987	211	28	54	54	NUM
ejpam-5987	211	29	)	)	PUNCT
ejpam-5987	211	30	where	where	SCONJ
ejpam-5987	211	31	κ	κ	NOUN
ejpam-5987	211	32	,	,	PUNCT
ejpam-5987	211	33	ε0	ε0	PROPN
ejpam-5987	211	34	are	be	AUX
ejpam-5987	211	35	free	free	ADJ
ejpam-5987	211	36	-	-	PUNCT
ejpam-5987	211	37	chosen	choose	VERB
ejpam-5987	211	38	parameters	parameter	NOUN
ejpam-5987	211	39	.	.	PUNCT
ejpam-5987	212	1	taking	take	VERB
ejpam-5987	212	2	the	the	DET
ejpam-5987	212	3	obtained	obtain	VERB
ejpam-5987	212	4	results	result	NOUN
ejpam-5987	212	5	into	into	ADP
ejpam-5987	212	6	account	account	NOUN
ejpam-5987	212	7	in	in	ADP
ejpam-5987	212	8	eqs.(32	eqs.(32	NOUN
ejpam-5987	212	9	)	)	PUNCT
ejpam-5987	212	10	and	and	CCONJ
ejpam-5987	212	11	(	(	PUNCT
ejpam-5987	212	12	53	53	NUM
ejpam-5987	212	13	)	)	PUNCT
ejpam-5987	212	14	,	,	PUNCT
ejpam-5987	212	15	it	it	PRON
ejpam-5987	212	16	reads	read	VERB
ejpam-5987	212	17	φ(℘	φ(℘	NOUN
ejpam-5987	212	18	)	)	PUNCT
ejpam-5987	212	19	=	=	SYM
ejpam-5987	212	20	−3ακ	−3ακ	NOUN
ejpam-5987	212	21	cot(℘)−	cot(℘)−	NOUN
ejpam-5987	212	22	3κα+	3κα+	NUM
ejpam-5987	212	23	ε0	ε0	NOUN
ejpam-5987	212	24	.	.	PUNCT
ejpam-5987	213	1	(	(	PUNCT
ejpam-5987	213	2	55	55	NUM
ejpam-5987	213	3	)	)	PUNCT
ejpam-5987	213	4	in	in	ADP
ejpam-5987	213	5	light	light	NOUN
ejpam-5987	213	6	of	of	ADP
ejpam-5987	213	7	the	the	DET
ejpam-5987	213	8	recent	recent	ADJ
ejpam-5987	213	9	result	result	NOUN
ejpam-5987	213	10	along	along	ADP
ejpam-5987	213	11	with	with	ADP
ejpam-5987	213	12	eq.(28	eq.(28	NOUN
ejpam-5987	213	13	)	)	PUNCT
ejpam-5987	213	14	,	,	PUNCT
ejpam-5987	213	15	the	the	DET
ejpam-5987	213	16	solution	solution	NOUN
ejpam-5987	213	17	for	for	ADP
ejpam-5987	213	18	eq.(20	eq.(20	PROPN
ejpam-5987	213	19	)	)	PUNCT
ejpam-5987	213	20	is	be	AUX
ejpam-5987	213	21	obtained	obtain	VERB
ejpam-5987	213	22	as	as	ADP
ejpam-5987	213	23	φ(ξ	φ(ξ	PROPN
ejpam-5987	213	24	,	,	PUNCT
ejpam-5987	213	25	t	t	PROPN
ejpam-5987	213	26	)	)	PUNCT
ejpam-5987	213	27	=	=	SYM
ejpam-5987	214	1	−3ακ	−3ακ	NUM
ejpam-5987	214	2	cot	cot	NOUN
ejpam-5987	214	3	(	(	PUNCT
ejpam-5987	214	4	2α3κ3t+	2α3κ3t+	NUM
ejpam-5987	214	5	κξ	κξ	NOUN
ejpam-5987	214	6	)	)	PUNCT
ejpam-5987	214	7	−	−	PROPN
ejpam-5987	214	8	3κα+	3κα+	NUM
ejpam-5987	214	9	ε0	ε0	PROPN
ejpam-5987	214	10	.	.	PUNCT
ejpam-5987	215	1	(	(	PUNCT
ejpam-5987	215	2	56	56	NUM
ejpam-5987	215	3	)	)	PUNCT
ejpam-5987	215	4	therefore	therefore	ADV
ejpam-5987	215	5	,	,	PUNCT
ejpam-5987	215	6	by	by	ADP
ejpam-5987	215	7	substituting	substitute	VERB
ejpam-5987	215	8	eqs.(56	eqs.(56	PROPN
ejpam-5987	215	9	)	)	PUNCT
ejpam-5987	215	10	,	,	PUNCT
ejpam-5987	215	11	(	(	PUNCT
ejpam-5987	215	12	18	18	NUM
ejpam-5987	215	13	)	)	PUNCT
ejpam-5987	215	14	,	,	PUNCT
ejpam-5987	215	15	and	and	CCONJ
ejpam-5987	215	16	(	(	PUNCT
ejpam-5987	215	17	19	19	NUM
ejpam-5987	215	18	)	)	PUNCT
ejpam-5987	215	19	into	into	ADP
ejpam-5987	215	20	(	(	PUNCT
ejpam-5987	215	21	3	3	NUM
ejpam-5987	215	22	)	)	PUNCT
ejpam-5987	215	23	,	,	PUNCT
ejpam-5987	215	24	we	we	PRON
ejpam-5987	215	25	derive	derive	VERB
ejpam-5987	215	26	a	a	DET
ejpam-5987	215	27	non	non	ADJ
ejpam-5987	215	28	-	-	ADJ
ejpam-5987	215	29	soliton	soliton	ADJ
ejpam-5987	215	30	solution	solution	NOUN
ejpam-5987	215	31	for	for	ADP
ejpam-5987	215	32	eq.(1	eq.(1	ADJ
ejpam-5987	215	33	)	)	PUNCT
ejpam-5987	215	34	as	as	SCONJ
ejpam-5987	215	35	follows	follow	VERB
ejpam-5987	215	36	u(x	u(x	NOUN
ejpam-5987	215	37	,	,	PUNCT
ejpam-5987	215	38	y	y	PROPN
ejpam-5987	215	39	,	,	PUNCT
ejpam-5987	215	40	z	z	PROPN
ejpam-5987	215	41	,	,	PUNCT
ejpam-5987	215	42	t	t	PROPN
ejpam-5987	215	43	)	)	PUNCT
ejpam-5987	215	44	=	=	SYM
ejpam-5987	216	1	−3ακ	−3ακ	NUM
ejpam-5987	216	2	cot	cot	NOUN
ejpam-5987	216	3	(	(	PUNCT
ejpam-5987	216	4	2α3κ3t+	2α3κ3t+	NUM
ejpam-5987	216	5	κ	κ	X
ejpam-5987	216	6	(	(	PUNCT
ejpam-5987	216	7	αx+	αx+	PROPN
ejpam-5987	216	8	f2(y	f2(y	PROPN
ejpam-5987	216	9	,	,	PUNCT
ejpam-5987	216	10	z	z	NOUN
ejpam-5987	216	11	)	)	PUNCT
ejpam-5987	216	12	+	+	CCONJ
ejpam-5987	216	13	f1(z	f1(z	PROPN
ejpam-5987	216	14	,	,	PUNCT
ejpam-5987	216	15	t	t	PROPN
ejpam-5987	216	16	)	)	PUNCT
ejpam-5987	216	17	)	)	PUNCT
ejpam-5987	216	18	)	)	PUNCT
ejpam-5987	217	1	+	+	CCONJ
ejpam-5987	217	2	f2(y	f2(y	PROPN
ejpam-5987	217	3	,	,	PUNCT
ejpam-5987	217	4	z	z	NOUN
ejpam-5987	217	5	)	)	PUNCT
ejpam-5987	217	6	(	(	PUNCT
ejpam-5987	217	7	∂	∂	NUM
ejpam-5987	217	8	∂tf1(z	∂tf1(z	PROPN
ejpam-5987	217	9	,	,	PUNCT
ejpam-5987	217	10	t	t	PROPN
ejpam-5987	217	11	)	)	PUNCT
ejpam-5987	217	12	)	)	PUNCT
ejpam-5987	218	1	α2	α2	ADV
ejpam-5987	218	2	−	−	PROPN
ejpam-5987	218	3	3y	3y	NUM
ejpam-5987	218	4	(	(	PUNCT
ejpam-5987	218	5	∂	∂	NUM
ejpam-5987	218	6	∂zf1(z	∂zf1(z	PROPN
ejpam-5987	218	7	,	,	PUNCT
ejpam-5987	218	8	t	t	PROPN
ejpam-5987	218	9	)	)	PUNCT
ejpam-5987	218	10	)	)	PUNCT
ejpam-5987	219	1	+	+	CCONJ
ejpam-5987	219	2	3	3	NUM
ejpam-5987	219	3	(	(	PUNCT
ejpam-5987	219	4	∫	∫	PROPN
ejpam-5987	219	5	(	(	PUNCT
ejpam-5987	219	6	∂	∂	NUM
ejpam-5987	219	7	∂zf2(y	∂zf2(y	ADJ
ejpam-5987	219	8	,	,	PUNCT
ejpam-5987	219	9	z	z	NOUN
ejpam-5987	219	10	)	)	PUNCT
ejpam-5987	219	11	)	)	PUNCT
ejpam-5987	220	1	dy	dy	NOUN
ejpam-5987	220	2	)	)	PUNCT
ejpam-5987	220	3	2α	2α	PROPN
ejpam-5987	220	4	+	+	CCONJ
ejpam-5987	220	5	λ(z	λ(z	NOUN
ejpam-5987	220	6	,	,	PUNCT
ejpam-5987	220	7	t	t	PROPN
ejpam-5987	220	8	)	)	PUNCT
ejpam-5987	220	9	.	.	PUNCT
ejpam-5987	221	1	(	(	PUNCT
ejpam-5987	221	2	57	57	NUM
ejpam-5987	221	3	)	)	PUNCT
ejpam-5987	221	4	remarks	remark	VERB
ejpam-5987	221	5	3.1	3.1	NUM
ejpam-5987	221	6	.	.	PUNCT
ejpam-5987	222	1	all	all	DET
ejpam-5987	222	2	the	the	DET
ejpam-5987	222	3	proposed	propose	VERB
ejpam-5987	222	4	solutions	solution	NOUN
ejpam-5987	222	5	in	in	ADP
ejpam-5987	222	6	this	this	DET
ejpam-5987	222	7	work	work	NOUN
ejpam-5987	222	8	have	have	AUX
ejpam-5987	222	9	been	be	AUX
ejpam-5987	222	10	validated	validate	VERB
ejpam-5987	222	11	using	use	VERB
ejpam-5987	222	12	maple	maple	NOUN
ejpam-5987	222	13	by	by	ADP
ejpam-5987	222	14	substituting	substitute	VERB
ejpam-5987	222	15	them	they	PRON
ejpam-5987	222	16	back	back	ADV
ejpam-5987	222	17	into	into	ADP
ejpam-5987	222	18	the	the	DET
ejpam-5987	222	19	original	original	ADJ
ejpam-5987	222	20	equation	equation	NOUN
ejpam-5987	222	21	.	.	PUNCT
ejpam-5987	223	1	4	4	X
ejpam-5987	223	2	.	.	X
ejpam-5987	223	3	dynamical	dynamical	ADJ
ejpam-5987	223	4	analysis	analysis	NOUN
ejpam-5987	223	5	of	of	ADP
ejpam-5987	223	6	the	the	DET
ejpam-5987	223	7	proposed	propose	VERB
ejpam-5987	223	8	solutions	solution	NOUN
ejpam-5987	223	9	in	in	ADP
ejpam-5987	223	10	this	this	DET
ejpam-5987	223	11	section	section	NOUN
ejpam-5987	223	12	of	of	ADP
ejpam-5987	223	13	the	the	DET
ejpam-5987	223	14	article	article	NOUN
ejpam-5987	223	15	,	,	PUNCT
ejpam-5987	223	16	we	we	PRON
ejpam-5987	223	17	will	will	AUX
ejpam-5987	223	18	examine	examine	VERB
ejpam-5987	223	19	the	the	DET
ejpam-5987	223	20	dynamic	dynamic	ADJ
ejpam-5987	223	21	behaviors	behavior	NOUN
ejpam-5987	223	22	of	of	ADP
ejpam-5987	223	23	the	the	DET
ejpam-5987	223	24	solutions	solution	NOUN
ejpam-5987	223	25	obtained	obtain	VERB
ejpam-5987	223	26	in	in	ADP
ejpam-5987	223	27	the	the	DET
ejpam-5987	223	28	last	last	ADJ
ejpam-5987	223	29	section	section	NOUN
ejpam-5987	223	30	.	.	PUNCT
ejpam-5987	224	1	■	■	PUNCT
ejpam-5987	224	2	first	first	ADV
ejpam-5987	224	3	of	of	ADP
ejpam-5987	224	4	all	all	PRON
ejpam-5987	224	5	,	,	PUNCT
ejpam-5987	224	6	we	we	PRON
ejpam-5987	224	7	investigate	investigate	VERB
ejpam-5987	224	8	the	the	DET
ejpam-5987	224	9	solution	solution	NOUN
ejpam-5987	224	10	given	give	VERB
ejpam-5987	224	11	in	in	ADP
ejpam-5987	224	12	eq.(17	eq.(17	NOUN
ejpam-5987	224	13	)	)	PUNCT
ejpam-5987	224	14	.	.	PUNCT
ejpam-5987	225	1	employing	employ	VERB
ejpam-5987	225	2	a	a	DET
ejpam-5987	225	3	diverse	diverse	ADJ
ejpam-5987	225	4	selection	selection	NOUN
ejpam-5987	225	5	of	of	ADP
ejpam-5987	225	6	three	three	NUM
ejpam-5987	225	7	arbitrary	arbitrary	ADJ
ejpam-5987	225	8	continuous	continuous	ADJ
ejpam-5987	225	9	functions	function	NOUN
ejpam-5987	225	10	φ	φ	NOUN
ejpam-5987	225	11	,	,	PUNCT
ejpam-5987	225	12	f1,λ	f1,λ	PROPN
ejpam-5987	225	13	in	in	ADP
ejpam-5987	225	14	the	the	DET
ejpam-5987	225	15	formulation	formulation	NOUN
ejpam-5987	225	16	of	of	ADP
ejpam-5987	225	17	this	this	DET
ejpam-5987	225	18	solution	solution	NOUN
ejpam-5987	225	19	enables	enable	VERB
ejpam-5987	225	20	the	the	DET
ejpam-5987	225	21	generation	generation	NOUN
ejpam-5987	225	22	of	of	ADP
ejpam-5987	225	23	various	various	ADJ
ejpam-5987	225	24	unique	unique	ADJ
ejpam-5987	225	25	non	non	ADJ
ejpam-5987	225	26	-	-	ADJ
ejpam-5987	225	27	traveling	traveling	ADJ
ejpam-5987	225	28	exact	exact	ADJ
ejpam-5987	225	29	solutions	solution	NOUN
ejpam-5987	225	30	to	to	ADP
ejpam-5987	225	31	eq.(1	eq.(1	NUM
ejpam-5987	225	32	)	)	PUNCT
ejpam-5987	225	33	.	.	PUNCT
ejpam-5987	226	1	some	some	PRON
ejpam-5987	226	2	of	of	ADP
ejpam-5987	226	3	the	the	DET
ejpam-5987	226	4	s.	s.	PROPN
ejpam-5987	226	5	a.	a.	PROPN
ejpam-5987	226	6	m.	m.	PROPN
ejpam-5987	226	7	alsallami	alsallami	PROPN
ejpam-5987	226	8	,	,	PUNCT
ejpam-5987	226	9	m.	m.	NOUN
ejpam-5987	226	10	alkinidri	alkinidri	PROPN
ejpam-5987	226	11	/	/	SYM
ejpam-5987	226	12	eur	eur	PROPN
ejpam-5987	226	13	.	.	PUNCT
ejpam-5987	227	1	j.	j.	PROPN
ejpam-5987	227	2	pure	pure	PROPN
ejpam-5987	227	3	appl	appl	PROPN
ejpam-5987	227	4	.	.	PROPN
ejpam-5987	227	5	math	math	PROPN
ejpam-5987	227	6	,	,	PUNCT
ejpam-5987	227	7	18	18	NUM
ejpam-5987	227	8	(	(	PUNCT
ejpam-5987	227	9	2	2	NUM
ejpam-5987	227	10	)	)	PUNCT
ejpam-5987	227	11	(	(	PUNCT
ejpam-5987	227	12	2025	2025	NUM
ejpam-5987	227	13	)	)	PUNCT
ejpam-5987	227	14	,	,	PUNCT
ejpam-5987	227	15	5987	5987	NUM
ejpam-5987	227	16	10	10	NUM
ejpam-5987	227	17	of	of	ADP
ejpam-5987	227	18	22	22	NUM
ejpam-5987	227	19	derived	derive	VERB
ejpam-5987	227	20	non	non	ADJ
ejpam-5987	227	21	-	-	ADJ
ejpam-5987	227	22	traveling	traveling	ADJ
ejpam-5987	227	23	exact	exact	ADJ
ejpam-5987	227	24	solutions	solution	NOUN
ejpam-5987	227	25	from	from	ADP
ejpam-5987	227	26	the	the	DET
ejpam-5987	227	27	solution	solution	NOUN
ejpam-5987	227	28	(	(	PUNCT
ejpam-5987	227	29	17	17	NUM
ejpam-5987	227	30	)	)	PUNCT
ejpam-5987	227	31	are	be	AUX
ejpam-5987	227	32	listed	list	VERB
ejpam-5987	227	33	below	below	ADV
ejpam-5987	227	34	.	.	PUNCT
ejpam-5987	228	1	(	(	PUNCT
ejpam-5987	228	2	a	a	X
ejpam-5987	228	3	):	):	PUNCT
ejpam-5987	228	4	through	through	ADP
ejpam-5987	228	5	the	the	DET
ejpam-5987	228	6	insertion	insertion	NOUN
ejpam-5987	228	7	of	of	ADP
ejpam-5987	228	8	φ(ξ	φ(ξ	PROPN
ejpam-5987	228	9	,	,	PUNCT
ejpam-5987	228	10	t	t	PROPN
ejpam-5987	228	11	)	)	PUNCT
ejpam-5987	228	12	=	=	SYM
ejpam-5987	229	1	e−	e−	PROPN
ejpam-5987	229	2	ξ2+t2	ξ2+t2	NUM
ejpam-5987	229	3	10	10	NUM
ejpam-5987	229	4	sin(ξ2	sin(ξ2	NOUN
ejpam-5987	229	5	+	+	CCONJ
ejpam-5987	229	6	t2	t2	NOUN
ejpam-5987	229	7	)	)	PUNCT
ejpam-5987	229	8	,	,	PUNCT
ejpam-5987	229	9	(	(	PUNCT
ejpam-5987	229	10	58a	58a	X
ejpam-5987	229	11	)	)	PUNCT
ejpam-5987	229	12	f1(z	f1(z	PROPN
ejpam-5987	229	13	,	,	PUNCT
ejpam-5987	229	14	t	t	PROPN
ejpam-5987	229	15	)	)	PUNCT
ejpam-5987	229	16	=	=	PUNCT
ejpam-5987	229	17	cos(z)e−	cos(z)e−	NOUN
ejpam-5987	229	18	t2+z2	t2+z2	NOUN
ejpam-5987	229	19	20	20	NUM
ejpam-5987	229	20	+	+	CCONJ
ejpam-5987	229	21	sin(2t)(1	sin(2t)(1	ADP
ejpam-5987	229	22	+	+	CCONJ
ejpam-5987	229	23	z2)0.1	z2)0.1	ADJ
ejpam-5987	229	24	,	,	PUNCT
ejpam-5987	229	25	(	(	PUNCT
ejpam-5987	229	26	58b	58b	NUM
ejpam-5987	229	27	)	)	PUNCT
ejpam-5987	229	28	λ(z	λ(z	NOUN
ejpam-5987	229	29	,	,	PUNCT
ejpam-5987	229	30	t	t	PROPN
ejpam-5987	229	31	)	)	PUNCT
ejpam-5987	229	32	=	=	NOUN
ejpam-5987	229	33	5	5	NUM
ejpam-5987	229	34	tanh(sin(z	tanh(sin(z	NUM
ejpam-5987	229	35	)	)	PUNCT
ejpam-5987	229	36	+	+	CCONJ
ejpam-5987	229	37	cos(t	cos(t	X
ejpam-5987	229	38	)	)	PUNCT
ejpam-5987	229	39	)	)	PUNCT
ejpam-5987	229	40	,	,	PUNCT
ejpam-5987	229	41	(	(	PUNCT
ejpam-5987	229	42	58c	58c	X
ejpam-5987	229	43	)	)	PUNCT
ejpam-5987	229	44	in	in	ADP
ejpam-5987	229	45	eq.(17	eq.(17	NOUN
ejpam-5987	229	46	)	)	PUNCT
ejpam-5987	229	47	,	,	PUNCT
ejpam-5987	229	48	we	we	PRON
ejpam-5987	229	49	have	have	VERB
ejpam-5987	229	50	u1(x	u1(x	PROPN
ejpam-5987	229	51	,	,	PUNCT
ejpam-5987	229	52	y	y	PROPN
ejpam-5987	229	53	,	,	PUNCT
ejpam-5987	229	54	z	z	PROPN
ejpam-5987	229	55	,	,	PUNCT
ejpam-5987	229	56	t	t	PROPN
ejpam-5987	229	57	)	)	PUNCT
ejpam-5987	229	58	=	=	NOUN
ejpam-5987	229	59	5	5	NUM
ejpam-5987	229	60	tanh(cos(t	tanh(cos(t	ADP
ejpam-5987	229	61	)	)	PUNCT
ejpam-5987	230	1	+	+	CCONJ
ejpam-5987	230	2	sin(z	sin(z	PROPN
ejpam-5987	230	3	)	)	PUNCT
ejpam-5987	230	4	)	)	PUNCT
ejpam-5987	231	1	+	+	CCONJ
ejpam-5987	231	2	sin	sin	NOUN
ejpam-5987	231	3	(	(	PUNCT
ejpam-5987	231	4	∆	∆	PROPN
ejpam-5987	231	5	)	)	PUNCT
ejpam-5987	231	6	exp	exp	NOUN
ejpam-5987	231	7	(	(	PUNCT
ejpam-5987	231	8	−∆	−∆	PROPN
ejpam-5987	231	9	10	10	NUM
ejpam-5987	231	10	)	)	PUNCT
ejpam-5987	231	11	−	−	PROPN
ejpam-5987	231	12	3	3	NUM
ejpam-5987	231	13	2α	2α	NOUN
ejpam-5987	231	14	(	(	PUNCT
ejpam-5987	231	15	−e	−e	SYM
ejpam-5987	231	16	1	1	NUM
ejpam-5987	231	17	20(−t2−z2	20(−t2−z2	NOUN
ejpam-5987	231	18	)	)	PUNCT
ejpam-5987	231	19	sin(z)−	sin(z)−	PROPN
ejpam-5987	231	20	1	1	NUM
ejpam-5987	231	21	10	10	NUM
ejpam-5987	231	22	ze	ze	PROPN
ejpam-5987	231	23	1	1	NUM
ejpam-5987	231	24	20(−t2−z2	20(−t2−z2	NUM
ejpam-5987	231	25	)	)	PUNCT
ejpam-5987	231	26	cos(z	cos(z	PROPN
ejpam-5987	231	27	)	)	PUNCT
ejpam-5987	232	1	+	+	CCONJ
ejpam-5987	232	2	0.2z	0.2z	NUM
ejpam-5987	232	3	sin(2	sin(2	ADJ
ejpam-5987	232	4	t	t	PROPN
ejpam-5987	232	5	)	)	PUNCT
ejpam-5987	232	6	(	(	PUNCT
ejpam-5987	232	7	z2	z2	NOUN
ejpam-5987	232	8	+	+	CCONJ
ejpam-5987	232	9	1)0.9	1)0.9	PROPN
ejpam-5987	232	10	)	)	PUNCT
ejpam-5987	232	11	y	y	PROPN
ejpam-5987	232	12	,	,	PUNCT
ejpam-5987	232	13	(	(	PUNCT
ejpam-5987	232	14	59	59	NUM
ejpam-5987	232	15	)	)	PUNCT
ejpam-5987	233	1	where	where	SCONJ
ejpam-5987	233	2	∆	∆	PROPN
ejpam-5987	233	3	=	=	PRON
ejpam-5987	234	1	(	(	PUNCT
ejpam-5987	234	2	e	e	X
ejpam-5987	234	3	(	(	PUNCT
ejpam-5987	234	4	−t2−z2	−t2−z2	PROPN
ejpam-5987	234	5	)	)	PUNCT
ejpam-5987	234	6	20	20	NUM
ejpam-5987	234	7	cos(z	cos(z	PROPN
ejpam-5987	234	8	)	)	PUNCT
ejpam-5987	235	1	+	+	CCONJ
ejpam-5987	235	2	(	(	PUNCT
ejpam-5987	235	3	z2	z2	NOUN
ejpam-5987	235	4	+	+	CCONJ
ejpam-5987	235	5	1	1	NUM
ejpam-5987	235	6	)	)	SYM
ejpam-5987	235	7	0.1	0.1	NUM
ejpam-5987	235	8	sin(2	sin(2	ADJ
ejpam-5987	235	9	t	t	PROPN
ejpam-5987	235	10	)	)	PUNCT
ejpam-5987	236	1	+	+	CCONJ
ejpam-5987	236	2	αx	αx	ADV
ejpam-5987	236	3	)	)	PUNCT
ejpam-5987	236	4	2	2	NUM
ejpam-5987	236	5	+	+	NUM
ejpam-5987	236	6	t2	t2	NOUN
ejpam-5987	236	7	.	.	PUNCT
ejpam-5987	237	1	the	the	DET
ejpam-5987	237	2	solution	solution	NOUN
ejpam-5987	237	3	u1(x	u1(x	PROPN
ejpam-5987	237	4	,	,	PUNCT
ejpam-5987	237	5	y	y	PROPN
ejpam-5987	237	6	,	,	PUNCT
ejpam-5987	237	7	z	z	PROPN
ejpam-5987	237	8	,	,	PUNCT
ejpam-5987	237	9	t	t	PROPN
ejpam-5987	237	10	)	)	PUNCT
ejpam-5987	237	11	represents	represent	VERB
ejpam-5987	237	12	a	a	DET
ejpam-5987	237	13	complex	complex	ADJ
ejpam-5987	237	14	,	,	PUNCT
ejpam-5987	237	15	oscillatory	oscillatory	ADJ
ejpam-5987	237	16	medium	medium	NOUN
ejpam-5987	237	17	where	where	SCONJ
ejpam-5987	237	18	wave	wave	NOUN
ejpam-5987	237	19	behavior	behavior	NOUN
ejpam-5987	237	20	is	be	AUX
ejpam-5987	237	21	modulated	modulate	VERB
ejpam-5987	237	22	by	by	ADP
ejpam-5987	237	23	the	the	DET
ejpam-5987	237	24	spatial	spatial	ADJ
ejpam-5987	237	25	coordinates	coordinate	NOUN
ejpam-5987	237	26	x	x	SYM
ejpam-5987	237	27	,	,	PUNCT
ejpam-5987	237	28	y	y	PROPN
ejpam-5987	237	29	,	,	PUNCT
ejpam-5987	237	30	z	z	PROPN
ejpam-5987	237	31	and	and	CCONJ
ejpam-5987	237	32	the	the	DET
ejpam-5987	237	33	temporal	temporal	ADJ
ejpam-5987	237	34	component	component	NOUN
ejpam-5987	237	35	t.	t.	NOUN
ejpam-5987	237	36	the	the	DET
ejpam-5987	237	37	term	term	NOUN
ejpam-5987	237	38	φ	φ	PROPN
ejpam-5987	237	39	introduces	introduce	VERB
ejpam-5987	237	40	a	a	DET
ejpam-5987	237	41	smooth	smooth	ADJ
ejpam-5987	237	42	decay	decay	NOUN
ejpam-5987	237	43	and	and	CCONJ
ejpam-5987	237	44	oscillation	oscillation	NOUN
ejpam-5987	237	45	that	that	PRON
ejpam-5987	237	46	interacts	interact	VERB
ejpam-5987	237	47	with	with	ADP
ejpam-5987	237	48	the	the	DET
ejpam-5987	237	49	influences	influence	NOUN
ejpam-5987	237	50	of	of	ADP
ejpam-5987	237	51	surrounding	surround	VERB
ejpam-5987	237	52	fields	field	NOUN
ejpam-5987	237	53	as	as	SCONJ
ejpam-5987	237	54	represented	represent	VERB
ejpam-5987	237	55	by	by	ADP
ejpam-5987	237	56	f1(z	f1(z	PROPN
ejpam-5987	237	57	,	,	PUNCT
ejpam-5987	237	58	t	t	PROPN
ejpam-5987	237	59	)	)	PUNCT
ejpam-5987	237	60	and	and	CCONJ
ejpam-5987	237	61	λ(z	λ(z	NOUN
ejpam-5987	237	62	,	,	PUNCT
ejpam-5987	237	63	t	t	PROPN
ejpam-5987	237	64	)	)	PUNCT
ejpam-5987	237	65	.	.	PUNCT
ejpam-5987	238	1	several	several	ADJ
ejpam-5987	238	2	dynamics	dynamic	NOUN
ejpam-5987	238	3	of	of	ADP
ejpam-5987	238	4	this	this	DET
ejpam-5987	238	5	solution	solution	NOUN
ejpam-5987	238	6	for	for	ADP
ejpam-5987	238	7	different	different	ADJ
ejpam-5987	238	8	values	value	NOUN
ejpam-5987	238	9	of	of	ADP
ejpam-5987	238	10	α	α	PROPN
ejpam-5987	238	11	are	be	AUX
ejpam-5987	238	12	displayed	display	VERB
ejpam-5987	238	13	in	in	ADP
ejpam-5987	238	14	fig.1	fig.1	PROPN
ejpam-5987	238	15	.	.	PUNCT
ejpam-5987	238	16	figure	figure	NOUN
ejpam-5987	238	17	1	1	NUM
ejpam-5987	238	18	:	:	PUNCT
ejpam-5987	238	19	3d	3d	NUM
ejpam-5987	238	20	plot	plot	NOUN
ejpam-5987	238	21	of	of	ADP
ejpam-5987	238	22	u1(1	u1(1	ADJ
ejpam-5987	238	23	,	,	PUNCT
ejpam-5987	238	24	1	1	NUM
ejpam-5987	238	25	,	,	PUNCT
ejpam-5987	238	26	z	z	PROPN
ejpam-5987	238	27	,	,	PUNCT
ejpam-5987	238	28	t	t	PROPN
ejpam-5987	238	29	)	)	PUNCT
ejpam-5987	238	30	for	for	ADP
ejpam-5987	238	31	different	different	ADJ
ejpam-5987	238	32	values	value	NOUN
ejpam-5987	238	33	of	of	ADP
ejpam-5987	238	34	α	α	PROPN
ejpam-5987	238	35	.	.	PUNCT
ejpam-5987	239	1	(	(	PUNCT
ejpam-5987	239	2	b	b	X
ejpam-5987	239	3	):	):	PUNCT
ejpam-5987	239	4	by	by	ADP
ejpam-5987	239	5	incorporating	incorporate	VERB
ejpam-5987	239	6	φ(ξ	φ(ξ	PROPN
ejpam-5987	239	7	,	,	PUNCT
ejpam-5987	239	8	t	t	PROPN
ejpam-5987	239	9	)	)	PUNCT
ejpam-5987	239	10	=	=	SYM
ejpam-5987	240	1	sin(ξ2	sin(ξ2	NOUN
ejpam-5987	240	2	+	+	NOUN
ejpam-5987	240	3	t	t	NOUN
ejpam-5987	240	4	)	)	PUNCT
ejpam-5987	240	5	+	+	SYM
ejpam-5987	240	6	cos(2	cos(2	NOUN
ejpam-5987	240	7	t	t	PROPN
ejpam-5987	240	8	)	)	PUNCT
ejpam-5987	240	9	,	,	PUNCT
ejpam-5987	240	10	(	(	PUNCT
ejpam-5987	240	11	60a	60a	NOUN
ejpam-5987	240	12	)	)	PUNCT
ejpam-5987	240	13	f1(z	f1(z	PROPN
ejpam-5987	240	14	,	,	PUNCT
ejpam-5987	240	15	t	t	PROPN
ejpam-5987	240	16	)	)	PUNCT
ejpam-5987	240	17	=	=	SYM
ejpam-5987	241	1	sin(z)e−t2/5	sin(z)e−t2/5	PROPN
ejpam-5987	241	2	+	+	NUM
ejpam-5987	241	3	0.5	0.5	NUM
ejpam-5987	241	4	cos(3z	cos(3z	ADJ
ejpam-5987	241	5	−	−	PROPN
ejpam-5987	241	6	t	t	PROPN
ejpam-5987	241	7	)	)	PUNCT
ejpam-5987	241	8	,	,	PUNCT
ejpam-5987	241	9	(	(	PUNCT
ejpam-5987	241	10	60b	60b	NOUN
ejpam-5987	241	11	)	)	PUNCT
ejpam-5987	241	12	λ(z	λ(z	NOUN
ejpam-5987	241	13	,	,	PUNCT
ejpam-5987	241	14	t	t	PROPN
ejpam-5987	241	15	)	)	PUNCT
ejpam-5987	241	16	=	=	SYM
ejpam-5987	241	17	0.5	0.5	NUM
ejpam-5987	241	18	sin(z	sin(z	PROPN
ejpam-5987	241	19	)	)	PUNCT
ejpam-5987	241	20	+	+	PUNCT
ejpam-5987	241	21	cos(t	cos(t	X
ejpam-5987	241	22	)	)	PUNCT
ejpam-5987	241	23	+	+	NUM
ejpam-5987	241	24	e−(z	e−(z	NOUN
ejpam-5987	241	25	2+t2)/10	2+t2)/10	NUM
ejpam-5987	241	26	.	.	PUNCT
ejpam-5987	241	27	(	(	PUNCT
ejpam-5987	241	28	60c	60c	NOUN
ejpam-5987	241	29	)	)	PUNCT
ejpam-5987	241	30	s.	s.	PROPN
ejpam-5987	241	31	a.	a.	PROPN
ejpam-5987	241	32	m.	m.	PROPN
ejpam-5987	241	33	alsallami	alsallami	PROPN
ejpam-5987	241	34	,	,	PUNCT
ejpam-5987	241	35	m.	m.	NOUN
ejpam-5987	241	36	alkinidri	alkinidri	PROPN
ejpam-5987	241	37	/	/	SYM
ejpam-5987	241	38	eur	eur	PROPN
ejpam-5987	241	39	.	.	PUNCT
ejpam-5987	242	1	j.	j.	PROPN
ejpam-5987	242	2	pure	pure	PROPN
ejpam-5987	242	3	appl	appl	PROPN
ejpam-5987	242	4	.	.	PROPN
ejpam-5987	242	5	math	math	PROPN
ejpam-5987	242	6	,	,	PUNCT
ejpam-5987	242	7	18	18	NUM
ejpam-5987	242	8	(	(	PUNCT
ejpam-5987	242	9	2	2	NUM
ejpam-5987	242	10	)	)	PUNCT
ejpam-5987	242	11	(	(	PUNCT
ejpam-5987	242	12	2025	2025	NUM
ejpam-5987	242	13	)	)	PUNCT
ejpam-5987	242	14	,	,	PUNCT
ejpam-5987	242	15	5987	5987	NUM
ejpam-5987	242	16	11	11	NUM
ejpam-5987	242	17	of	of	ADP
ejpam-5987	242	18	22	22	NUM
ejpam-5987	242	19	in	in	ADP
ejpam-5987	242	20	eq.(17	eq.(17	NOUN
ejpam-5987	242	21	)	)	PUNCT
ejpam-5987	243	1	,	,	PUNCT
ejpam-5987	243	2	we	we	PRON
ejpam-5987	243	3	have	have	VERB
ejpam-5987	243	4	u2(x	u2(x	PRON
ejpam-5987	243	5	,	,	PUNCT
ejpam-5987	243	6	y	y	PROPN
ejpam-5987	243	7	,	,	PUNCT
ejpam-5987	243	8	z	z	PROPN
ejpam-5987	243	9	,	,	PUNCT
ejpam-5987	243	10	t	t	PROPN
ejpam-5987	243	11	)	)	PUNCT
ejpam-5987	243	12	=	=	VERB
ejpam-5987	243	13	sin	sin	NOUN
ejpam-5987	243	14	(	(	PUNCT
ejpam-5987	243	15	(	(	PUNCT
ejpam-5987	243	16	e−	e−	X
ejpam-5987	243	17	t2	t2	NOUN
ejpam-5987	243	18	5	5	NUM
ejpam-5987	243	19	sin(z	sin(z	PROPN
ejpam-5987	243	20	)	)	PUNCT
ejpam-5987	243	21	+	+	NUM
ejpam-5987	243	22	0.5	0.5	NUM
ejpam-5987	243	23	cos(t−	cos(t−	NOUN
ejpam-5987	243	24	3z	3z	NUM
ejpam-5987	243	25	)	)	PUNCT
ejpam-5987	243	26	+	+	CCONJ
ejpam-5987	243	27	αx	αx	ADV
ejpam-5987	243	28	)	)	PUNCT
ejpam-5987	243	29	2	2	PROPN
ejpam-5987	243	30	+	+	NUM
ejpam-5987	243	31	t	t	NOUN
ejpam-5987	243	32	)	)	PUNCT
ejpam-5987	244	1	−	−	PROPN
ejpam-5987	245	1	3y	3y	NUM
ejpam-5987	245	2	(	(	PUNCT
ejpam-5987	245	3	e−	e−	X
ejpam-5987	245	4	t2	t2	NOUN
ejpam-5987	245	5	5	5	NUM
ejpam-5987	245	6	cos(z	cos(z	NOUN
ejpam-5987	245	7	)	)	PUNCT
ejpam-5987	245	8	+	+	CCONJ
ejpam-5987	245	9	1.5	1.5	NUM
ejpam-5987	245	10	sin(t−	sin(t−	NOUN
ejpam-5987	245	11	3z	3z	NUM
ejpam-5987	245	12	)	)	PUNCT
ejpam-5987	245	13	)	)	PUNCT
ejpam-5987	245	14	2α	2α	NOUN
ejpam-5987	246	1	+	+	CCONJ
ejpam-5987	246	2	e−(t	e−(t	PROPN
ejpam-5987	246	3	2+z2)/10	2+z2)/10	NUM
ejpam-5987	246	4	+	+	NUM
ejpam-5987	246	5	cos(t	cos(t	X
ejpam-5987	246	6	)	)	PUNCT
ejpam-5987	246	7	+	+	NUM
ejpam-5987	246	8	cos(2	cos(2	NOUN
ejpam-5987	246	9	t	t	PROPN
ejpam-5987	246	10	)	)	PUNCT
ejpam-5987	246	11	+	+	CCONJ
ejpam-5987	246	12	0.5	0.5	NUM
ejpam-5987	246	13	sin(z	sin(z	PROPN
ejpam-5987	246	14	)	)	PUNCT
ejpam-5987	246	15	.	.	PUNCT
ejpam-5987	247	1	(	(	PUNCT
ejpam-5987	247	2	61	61	NUM
ejpam-5987	247	3	)	)	PUNCT
ejpam-5987	247	4	the	the	DET
ejpam-5987	247	5	recent	recent	ADJ
ejpam-5987	247	6	obtained	obtain	VERB
ejpam-5987	247	7	solution	solution	NOUN
ejpam-5987	247	8	combines	combine	VERB
ejpam-5987	247	9	oscillatory	oscillatory	ADJ
ejpam-5987	247	10	components	component	NOUN
ejpam-5987	247	11	to	to	PART
ejpam-5987	247	12	describe	describe	VERB
ejpam-5987	247	13	a	a	DET
ejpam-5987	247	14	dynamic	dynamic	ADJ
ejpam-5987	247	15	wavelike	wavelike	NOUN
ejpam-5987	247	16	field	field	NOUN
ejpam-5987	247	17	in	in	ADP
ejpam-5987	247	18	three	three	NUM
ejpam-5987	247	19	-	-	PUNCT
ejpam-5987	247	20	dimensional	dimensional	ADJ
ejpam-5987	247	21	space	space	NOUN
ejpam-5987	247	22	.	.	PUNCT
ejpam-5987	248	1	it	it	PRON
ejpam-5987	248	2	represents	represent	VERB
ejpam-5987	248	3	the	the	DET
ejpam-5987	248	4	interaction	interaction	NOUN
ejpam-5987	248	5	of	of	ADP
ejpam-5987	248	6	spatial	spatial	ADJ
ejpam-5987	248	7	oscillations	oscillation	NOUN
ejpam-5987	248	8	with	with	ADP
ejpam-5987	248	9	temporal	temporal	ADJ
ejpam-5987	248	10	changes	change	NOUN
ejpam-5987	248	11	,	,	PUNCT
ejpam-5987	248	12	incorporating	incorporate	VERB
ejpam-5987	248	13	the	the	DET
ejpam-5987	248	14	effects	effect	NOUN
ejpam-5987	248	15	of	of	ADP
ejpam-5987	248	16	a	a	DET
ejpam-5987	248	17	scalar	scalar	ADJ
ejpam-5987	248	18	field	field	NOUN
ejpam-5987	248	19	dependent	dependent	ADJ
ejpam-5987	248	20	on	on	ADP
ejpam-5987	248	21	altitude	altitude	NOUN
ejpam-5987	248	22	z	z	NOUN
ejpam-5987	248	23	and	and	CCONJ
ejpam-5987	248	24	time	time	NOUN
ejpam-5987	248	25	t.	t.	PROPN
ejpam-5987	248	26	the	the	DET
ejpam-5987	248	27	bounded	bounded	ADJ
ejpam-5987	248	28	nature	nature	NOUN
ejpam-5987	248	29	of	of	ADP
ejpam-5987	248	30	the	the	DET
ejpam-5987	248	31	solution	solution	NOUN
ejpam-5987	248	32	ensures	ensure	VERB
ejpam-5987	248	33	physical	physical	ADJ
ejpam-5987	248	34	constraints	constraint	NOUN
ejpam-5987	248	35	are	be	AUX
ejpam-5987	248	36	maintained	maintain	VERB
ejpam-5987	248	37	,	,	PUNCT
ejpam-5987	248	38	potentially	potentially	ADV
ejpam-5987	248	39	resembling	resemble	VERB
ejpam-5987	248	40	wave	wave	NOUN
ejpam-5987	248	41	behavior	behavior	NOUN
ejpam-5987	248	42	in	in	ADP
ejpam-5987	248	43	fluid	fluid	ADJ
ejpam-5987	248	44	dynamics	dynamic	NOUN
ejpam-5987	248	45	or	or	CCONJ
ejpam-5987	248	46	electromagnetic	electromagnetic	ADJ
ejpam-5987	248	47	fields	field	NOUN
ejpam-5987	248	48	.	.	PUNCT
ejpam-5987	249	1	several	several	ADJ
ejpam-5987	249	2	dynamics	dynamic	NOUN
ejpam-5987	249	3	of	of	ADP
ejpam-5987	249	4	this	this	DET
ejpam-5987	249	5	solution	solution	NOUN
ejpam-5987	249	6	for	for	ADP
ejpam-5987	249	7	different	different	ADJ
ejpam-5987	249	8	values	value	NOUN
ejpam-5987	249	9	of	of	ADP
ejpam-5987	249	10	α	α	PROPN
ejpam-5987	249	11	are	be	AUX
ejpam-5987	249	12	displayed	display	VERB
ejpam-5987	249	13	in	in	ADP
ejpam-5987	249	14	fig.2	fig.2	PROPN
ejpam-5987	249	15	.	.	PUNCT
ejpam-5987	250	1	figure	figure	NOUN
ejpam-5987	250	2	2	2	NUM
ejpam-5987	250	3	:	:	PUNCT
ejpam-5987	250	4	3d	3d	NUM
ejpam-5987	250	5	plot	plot	NOUN
ejpam-5987	250	6	of	of	ADP
ejpam-5987	250	7	u2(x	u2(x	PRON
ejpam-5987	250	8	,	,	PUNCT
ejpam-5987	250	9	0.5	0.5	NUM
ejpam-5987	250	10	,	,	PUNCT
ejpam-5987	250	11	z	z	NOUN
ejpam-5987	250	12	,	,	PUNCT
ejpam-5987	250	13	0.5	0.5	NUM
ejpam-5987	250	14	)	)	PUNCT
ejpam-5987	250	15	for	for	ADP
ejpam-5987	250	16	different	different	ADJ
ejpam-5987	250	17	values	value	NOUN
ejpam-5987	250	18	of	of	ADP
ejpam-5987	250	19	α	α	PROPN
ejpam-5987	250	20	.	.	PUNCT
ejpam-5987	251	1	(	(	PUNCT
ejpam-5987	251	2	c	c	X
ejpam-5987	251	3	):	):	PUNCT
ejpam-5987	251	4	through	through	ADP
ejpam-5987	251	5	inserting	insert	VERB
ejpam-5987	251	6	φ(ξ	φ(ξ	PROPN
ejpam-5987	251	7	,	,	PUNCT
ejpam-5987	251	8	t	t	PROPN
ejpam-5987	251	9	)	)	PUNCT
ejpam-5987	251	10	=	=	SYM
ejpam-5987	251	11	sin(ξ	sin(ξ	PROPN
ejpam-5987	251	12	)	)	PUNCT
ejpam-5987	251	13	+	+	SYM
ejpam-5987	251	14	cos(2	cos(2	NOUN
ejpam-5987	251	15	t	t	PROPN
ejpam-5987	251	16	)	)	PUNCT
ejpam-5987	251	17	+	+	NUM
ejpam-5987	251	18	e−(ξ2+t2	e−(ξ2+t2	NOUN
ejpam-5987	251	19	)	)	PUNCT
ejpam-5987	251	20	,	,	PUNCT
ejpam-5987	251	21	(	(	PUNCT
ejpam-5987	251	22	62a	62a	NOUN
ejpam-5987	251	23	)	)	PUNCT
ejpam-5987	251	24	f1(z	f1(z	PROPN
ejpam-5987	251	25	,	,	PUNCT
ejpam-5987	251	26	t	t	PROPN
ejpam-5987	251	27	)	)	PUNCT
ejpam-5987	251	28	=	=	PUNCT
ejpam-5987	251	29	0.5z2	0.5z2	NUM
ejpam-5987	251	30	+	+	CCONJ
ejpam-5987	251	31	3	3	NUM
ejpam-5987	251	32	sin(z	sin(z	PROPN
ejpam-5987	251	33	+	+	NOUN
ejpam-5987	251	34	t	t	NOUN
ejpam-5987	251	35	)	)	PUNCT
ejpam-5987	252	1	+	+	NUM
ejpam-5987	252	2	1	1	NUM
ejpam-5987	252	3	,	,	PUNCT
ejpam-5987	252	4	(	(	PUNCT
ejpam-5987	252	5	62b	62b	NOUN
ejpam-5987	252	6	)	)	PUNCT
ejpam-5987	252	7	λ(z	λ(z	NOUN
ejpam-5987	252	8	,	,	PUNCT
ejpam-5987	252	9	t	t	PROPN
ejpam-5987	252	10	)	)	PUNCT
ejpam-5987	252	11	=	=	SYM
ejpam-5987	253	1	2	2	NUM
ejpam-5987	253	2	log(1	log(1	NOUN
ejpam-5987	253	3	+	+	CCONJ
ejpam-5987	253	4	z2	z2	NOUN
ejpam-5987	253	5	)	)	PUNCT
ejpam-5987	253	6	+	+	CCONJ
ejpam-5987	253	7	√	√	NUM
ejpam-5987	253	8	1	1	NUM
ejpam-5987	253	9	+	+	NUM
ejpam-5987	253	10	t2	t2	NOUN
ejpam-5987	253	11	,	,	PUNCT
ejpam-5987	253	12	(	(	PUNCT
ejpam-5987	253	13	62c	62c	NOUN
ejpam-5987	253	14	)	)	PUNCT
ejpam-5987	253	15	in	in	ADP
ejpam-5987	253	16	eq.(17	eq.(17	NOUN
ejpam-5987	253	17	)	)	PUNCT
ejpam-5987	253	18	,	,	PUNCT
ejpam-5987	253	19	we	we	PRON
ejpam-5987	253	20	have	have	VERB
ejpam-5987	253	21	u3(x	u3(x	PROPN
ejpam-5987	253	22	,	,	PUNCT
ejpam-5987	253	23	y	y	PROPN
ejpam-5987	253	24	,	,	PUNCT
ejpam-5987	253	25	z	z	PROPN
ejpam-5987	253	26	,	,	PUNCT
ejpam-5987	253	27	t	t	PROPN
ejpam-5987	253	28	)	)	PUNCT
ejpam-5987	253	29	=	=	PRON
ejpam-5987	253	30	e−t2−(3	e−t2−(3	X
ejpam-5987	253	31	sin(t+z)+αx+0.5z2	sin(t+z)+αx+0.5z2	X
ejpam-5987	253	32	+	+	PROPN
ejpam-5987	253	33	1	1	NUM
ejpam-5987	253	34	)	)	SYM
ejpam-5987	253	35	2	2	NUM
ejpam-5987	253	36	+	+	CCONJ
ejpam-5987	253	37	sin	sin	NOUN
ejpam-5987	253	38	(	(	PUNCT
ejpam-5987	253	39	3	3	NUM
ejpam-5987	253	40	sin(t+	sin(t+	PROPN
ejpam-5987	253	41	z	z	PROPN
ejpam-5987	253	42	)	)	PUNCT
ejpam-5987	253	43	+	+	CCONJ
ejpam-5987	253	44	αx+	αx+	ADJ
ejpam-5987	253	45	0.5z2	0.5z2	X
ejpam-5987	254	1	+	+	CCONJ
ejpam-5987	254	2	1	1	NUM
ejpam-5987	254	3	)	)	PUNCT
ejpam-5987	254	4	−	−	NOUN
ejpam-5987	254	5	3y(3	3y(3	NUM
ejpam-5987	254	6	cos(t+	cos(t+	PROPN
ejpam-5987	254	7	z	z	NOUN
ejpam-5987	254	8	)	)	PUNCT
ejpam-5987	255	1	+	+	CCONJ
ejpam-5987	255	2	z	z	X
ejpam-5987	255	3	)	)	PUNCT
ejpam-5987	255	4	2α	2α	NOUN
ejpam-5987	255	5	+	+	SYM
ejpam-5987	255	6	cos(2	cos(2	NOUN
ejpam-5987	255	7	t	t	NOUN
ejpam-5987	255	8	)	)	PUNCT
ejpam-5987	255	9	+	+	CCONJ
ejpam-5987	255	10	2	2	NUM
ejpam-5987	255	11	log	log	NOUN
ejpam-5987	255	12	(	(	PUNCT
ejpam-5987	255	13	z2	z2	NOUN
ejpam-5987	255	14	+	+	CCONJ
ejpam-5987	255	15	1	1	NUM
ejpam-5987	255	16	)	)	PUNCT
ejpam-5987	255	17	+	+	CCONJ
ejpam-5987	255	18	√	√	ADP
ejpam-5987	255	19	t2	t2	NOUN
ejpam-5987	255	20	+	+	CCONJ
ejpam-5987	255	21	1	1	X
ejpam-5987	255	22	.	.	PUNCT
ejpam-5987	255	23	(	(	PUNCT
ejpam-5987	255	24	63	63	NUM
ejpam-5987	255	25	)	)	PUNCT
ejpam-5987	255	26	the	the	DET
ejpam-5987	255	27	formula	formula	NOUN
ejpam-5987	255	28	represents	represent	VERB
ejpam-5987	255	29	a	a	DET
ejpam-5987	255	30	dynamic	dynamic	ADJ
ejpam-5987	255	31	system	system	NOUN
ejpam-5987	255	32	where	where	SCONJ
ejpam-5987	255	33	the	the	DET
ejpam-5987	255	34	spatial	spatial	ADJ
ejpam-5987	255	35	variables	variable	NOUN
ejpam-5987	255	36	x	x	NOUN
ejpam-5987	255	37	,	,	PUNCT
ejpam-5987	255	38	y	y	PROPN
ejpam-5987	255	39	,	,	PUNCT
ejpam-5987	255	40	and	and	CCONJ
ejpam-5987	255	41	z	z	NOUN
ejpam-5987	255	42	are	be	AUX
ejpam-5987	255	43	modulated	modulate	VERB
ejpam-5987	255	44	by	by	ADP
ejpam-5987	255	45	oscillatory	oscillatory	ADJ
ejpam-5987	255	46	components	component	NOUN
ejpam-5987	255	47	combined	combine	VERB
ejpam-5987	255	48	with	with	ADP
ejpam-5987	255	49	temporal	temporal	ADJ
ejpam-5987	255	50	evolution	evolution	NOUN
ejpam-5987	255	51	.	.	PUNCT
ejpam-5987	256	1	this	this	DET
ejpam-5987	256	2	functional	functional	ADJ
ejpam-5987	256	3	form	form	NOUN
ejpam-5987	256	4	may	may	AUX
ejpam-5987	256	5	describe	describe	VERB
ejpam-5987	256	6	phenomena	phenomenon	NOUN
ejpam-5987	256	7	like	like	ADP
ejpam-5987	256	8	waves	wave	NOUN
ejpam-5987	256	9	or	or	CCONJ
ejpam-5987	256	10	heat	heat	NOUN
ejpam-5987	256	11	distribution	distribution	NOUN
ejpam-5987	256	12	in	in	ADP
ejpam-5987	256	13	a	a	DET
ejpam-5987	256	14	medium	medium	NOUN
ejpam-5987	256	15	,	,	PUNCT
ejpam-5987	256	16	illustrating	illustrate	VERB
ejpam-5987	256	17	how	how	SCONJ
ejpam-5987	256	18	bounded	bounded	ADJ
ejpam-5987	256	19	interactions	interaction	NOUN
ejpam-5987	256	20	influence	influence	VERB
ejpam-5987	256	21	a	a	DET
ejpam-5987	256	22	state	state	NOUN
ejpam-5987	256	23	variable	variable	NOUN
ejpam-5987	256	24	over	over	ADP
ejpam-5987	256	25	time	time	NOUN
ejpam-5987	256	26	.	.	PUNCT
ejpam-5987	257	1	several	several	ADJ
ejpam-5987	257	2	dynamics	dynamic	NOUN
ejpam-5987	257	3	of	of	ADP
ejpam-5987	257	4	this	this	DET
ejpam-5987	257	5	s.	s.	PROPN
ejpam-5987	257	6	a.	a.	PROPN
ejpam-5987	257	7	m.	m.	PROPN
ejpam-5987	257	8	alsallami	alsallami	PROPN
ejpam-5987	257	9	,	,	PUNCT
ejpam-5987	257	10	m.	m.	NOUN
ejpam-5987	257	11	alkinidri	alkinidri	PROPN
ejpam-5987	257	12	/	/	SYM
ejpam-5987	257	13	eur	eur	PROPN
ejpam-5987	257	14	.	.	PUNCT
ejpam-5987	258	1	j.	j.	PROPN
ejpam-5987	258	2	pure	pure	PROPN
ejpam-5987	258	3	appl	appl	PROPN
ejpam-5987	258	4	.	.	PROPN
ejpam-5987	258	5	math	math	PROPN
ejpam-5987	258	6	,	,	PUNCT
ejpam-5987	258	7	18	18	NUM
ejpam-5987	258	8	(	(	PUNCT
ejpam-5987	258	9	2	2	NUM
ejpam-5987	258	10	)	)	PUNCT
ejpam-5987	258	11	(	(	PUNCT
ejpam-5987	258	12	2025	2025	NUM
ejpam-5987	258	13	)	)	PUNCT
ejpam-5987	258	14	,	,	PUNCT
ejpam-5987	258	15	5987	5987	NUM
ejpam-5987	258	16	12	12	NUM
ejpam-5987	258	17	of	of	ADP
ejpam-5987	258	18	22	22	NUM
ejpam-5987	258	19	figure	figure	NOUN
ejpam-5987	258	20	3	3	NUM
ejpam-5987	258	21	:	:	PUNCT
ejpam-5987	258	22	3d	3d	NUM
ejpam-5987	258	23	plot	plot	NOUN
ejpam-5987	258	24	of	of	ADP
ejpam-5987	258	25	u3(x	u3(x	PROPN
ejpam-5987	258	26	,	,	PUNCT
ejpam-5987	258	27	0.5	0.5	NUM
ejpam-5987	258	28	,	,	PUNCT
ejpam-5987	258	29	z	z	NOUN
ejpam-5987	258	30	,	,	PUNCT
ejpam-5987	258	31	0.2	0.2	NUM
ejpam-5987	258	32	)	)	PUNCT
ejpam-5987	258	33	for	for	ADP
ejpam-5987	258	34	different	different	ADJ
ejpam-5987	258	35	values	value	NOUN
ejpam-5987	258	36	of	of	ADP
ejpam-5987	258	37	α	α	NOUN
ejpam-5987	258	38	.	.	PUNCT
ejpam-5987	259	1	solution	solution	NOUN
ejpam-5987	259	2	for	for	ADP
ejpam-5987	259	3	different	different	ADJ
ejpam-5987	259	4	values	value	NOUN
ejpam-5987	259	5	of	of	ADP
ejpam-5987	259	6	α	α	PROPN
ejpam-5987	259	7	are	be	AUX
ejpam-5987	259	8	displayed	display	VERB
ejpam-5987	259	9	in	in	ADP
ejpam-5987	259	10	fig.3	fig.3	PROPN
ejpam-5987	259	11	.	.	PUNCT
ejpam-5987	260	1	(	(	PUNCT
ejpam-5987	260	2	d	d	NOUN
ejpam-5987	260	3	):	):	PUNCT
ejpam-5987	260	4	through	through	ADP
ejpam-5987	260	5	the	the	DET
ejpam-5987	260	6	insertion	insertion	NOUN
ejpam-5987	260	7	of	of	ADP
ejpam-5987	260	8	φ(ξ	φ(ξ	PROPN
ejpam-5987	260	9	,	,	PUNCT
ejpam-5987	260	10	t	t	PROPN
ejpam-5987	260	11	)	)	PUNCT
ejpam-5987	260	12	=	=	SYM
ejpam-5987	260	13	sin(ξ)e−0.1t2	sin(ξ)e−0.1t2	NOUN
ejpam-5987	260	14	,	,	PUNCT
ejpam-5987	260	15	(	(	PUNCT
ejpam-5987	260	16	64a	64a	NOUN
ejpam-5987	260	17	)	)	PUNCT
ejpam-5987	260	18	f1(z	f1(z	PROPN
ejpam-5987	260	19	,	,	PUNCT
ejpam-5987	260	20	t	t	PROPN
ejpam-5987	260	21	)	)	PUNCT
ejpam-5987	260	22	=	=	PUNCT
ejpam-5987	260	23	sin(0.5	sin(0.5	NUM
ejpam-5987	260	24	t	t	PROPN
ejpam-5987	260	25	)	)	PUNCT
ejpam-5987	260	26	cos(0.5	cos(0.5	NUM
ejpam-5987	260	27	t	t	NOUN
ejpam-5987	260	28	)	)	PUNCT
ejpam-5987	260	29	+	+	CCONJ
ejpam-5987	260	30	z2/20	z2/20	NUM
ejpam-5987	260	31	,	,	PUNCT
ejpam-5987	260	32	(	(	PUNCT
ejpam-5987	260	33	64b	64b	X
ejpam-5987	260	34	)	)	PUNCT
ejpam-5987	260	35	λ(z	λ(z	NOUN
ejpam-5987	260	36	,	,	PUNCT
ejpam-5987	260	37	t	t	PROPN
ejpam-5987	260	38	)	)	PUNCT
ejpam-5987	260	39	=	=	PUNCT
ejpam-5987	260	40	(	(	PUNCT
ejpam-5987	260	41	1	1	NUM
ejpam-5987	260	42	+	+	CCONJ
ejpam-5987	260	43	z/10	z/10	ADJ
ejpam-5987	260	44	)	)	PUNCT
ejpam-5987	260	45	sin	sin	NOUN
ejpam-5987	260	46	(	(	PUNCT
ejpam-5987	260	47	√	√	PROPN
ejpam-5987	260	48	z2	z2	PROPN
ejpam-5987	260	49	+	+	CCONJ
ejpam-5987	260	50	t2	t2	PROPN
ejpam-5987	260	51	)	)	PUNCT
ejpam-5987	260	52	,	,	PUNCT
ejpam-5987	260	53	(	(	PUNCT
ejpam-5987	260	54	64c	64c	NOUN
ejpam-5987	260	55	)	)	PUNCT
ejpam-5987	260	56	in	in	ADP
ejpam-5987	260	57	eq.(17	eq.(17	NOUN
ejpam-5987	260	58	)	)	PUNCT
ejpam-5987	260	59	,	,	PUNCT
ejpam-5987	260	60	we	we	PRON
ejpam-5987	260	61	have	have	VERB
ejpam-5987	260	62	u4(x	u4(x	PROPN
ejpam-5987	260	63	,	,	PUNCT
ejpam-5987	260	64	y	y	PROPN
ejpam-5987	260	65	,	,	PUNCT
ejpam-5987	260	66	z	z	PROPN
ejpam-5987	260	67	,	,	PUNCT
ejpam-5987	260	68	t	t	PROPN
ejpam-5987	260	69	)	)	PUNCT
ejpam-5987	260	70	=	=	NOUN
ejpam-5987	260	71	sin	sin	NOUN
ejpam-5987	260	72	(	(	PUNCT
ejpam-5987	260	73	sin(0.5	sin(0.5	NOUN
ejpam-5987	260	74	t	t	NOUN
ejpam-5987	260	75	)	)	PUNCT
ejpam-5987	260	76	cos(0.5z	cos(0.5z	NOUN
ejpam-5987	260	77	)	)	PUNCT
ejpam-5987	260	78	+	+	CCONJ
ejpam-5987	260	79	αx+	αx+	VERB
ejpam-5987	260	80	z2	z2	PROPN
ejpam-5987	260	81	20	20	NUM
ejpam-5987	260	82	)	)	PUNCT
ejpam-5987	260	83	e−0.1t2	e−0.1t2	X
ejpam-5987	261	1	−	−	PROPN
ejpam-5987	261	2	3y	3y	NUM
ejpam-5987	261	3	(	(	PUNCT
ejpam-5987	261	4	z	z	NOUN
ejpam-5987	261	5	10	10	NUM
ejpam-5987	261	6	−	−	NUM
ejpam-5987	261	7	0.5	0.5	NUM
ejpam-5987	261	8	sin(0.5	sin(0.5	NUM
ejpam-5987	261	9	t	t	NOUN
ejpam-5987	261	10	)	)	PUNCT
ejpam-5987	261	11	sin(0.5z	sin(0.5z	NOUN
ejpam-5987	261	12	)	)	PUNCT
ejpam-5987	261	13	)	)	PUNCT
ejpam-5987	262	1	2α	2α	NOUN
ejpam-5987	262	2	+	+	CCONJ
ejpam-5987	262	3	(	(	PUNCT
ejpam-5987	262	4	1	1	NUM
ejpam-5987	262	5	+	+	CCONJ
ejpam-5987	262	6	z/10	z/10	ADJ
ejpam-5987	262	7	)	)	PUNCT
ejpam-5987	262	8	sin	sin	NOUN
ejpam-5987	262	9	(	(	PUNCT
ejpam-5987	262	10	√	√	PROPN
ejpam-5987	262	11	z2	z2	PROPN
ejpam-5987	262	12	+	+	CCONJ
ejpam-5987	262	13	t2	t2	PROPN
ejpam-5987	262	14	)	)	PUNCT
ejpam-5987	262	15	.	.	PUNCT
ejpam-5987	263	1	(	(	PUNCT
ejpam-5987	263	2	65	65	NUM
ejpam-5987	263	3	)	)	PUNCT
ejpam-5987	263	4	this	this	DET
ejpam-5987	263	5	solution	solution	NOUN
ejpam-5987	263	6	exhibits	exhibit	VERB
ejpam-5987	263	7	a	a	DET
ejpam-5987	263	8	dynamic	dynamic	ADJ
ejpam-5987	263	9	system	system	NOUN
ejpam-5987	263	10	where	where	SCONJ
ejpam-5987	263	11	the	the	DET
ejpam-5987	263	12	interaction	interaction	NOUN
ejpam-5987	263	13	between	between	ADP
ejpam-5987	263	14	multiple	multiple	ADJ
ejpam-5987	263	15	dimensions	dimension	NOUN
ejpam-5987	263	16	generates	generate	VERB
ejpam-5987	263	17	intricate	intricate	ADJ
ejpam-5987	263	18	oscillatory	oscillatory	ADJ
ejpam-5987	263	19	behavior	behavior	NOUN
ejpam-5987	263	20	.	.	PUNCT
ejpam-5987	264	1	the	the	DET
ejpam-5987	264	2	contributions	contribution	NOUN
ejpam-5987	264	3	from	from	ADP
ejpam-5987	264	4	φ	φ	PROPN
ejpam-5987	264	5	create	create	VERB
ejpam-5987	264	6	spatial	spatial	ADJ
ejpam-5987	264	7	wave	wave	NOUN
ejpam-5987	264	8	patterns	pattern	NOUN
ejpam-5987	264	9	,	,	PUNCT
ejpam-5987	264	10	while	while	SCONJ
ejpam-5987	264	11	f1	f1	PROPN
ejpam-5987	264	12	and	and	CCONJ
ejpam-5987	264	13	λ	λ	PRON
ejpam-5987	264	14	modulate	modulate	VERB
ejpam-5987	264	15	these	these	DET
ejpam-5987	264	16	patterns	pattern	NOUN
ejpam-5987	264	17	over	over	ADP
ejpam-5987	264	18	time	time	NOUN
ejpam-5987	264	19	and	and	CCONJ
ejpam-5987	264	20	spatial	spatial	ADJ
ejpam-5987	264	21	dimensions	dimension	NOUN
ejpam-5987	264	22	,	,	PUNCT
ejpam-5987	264	23	reflecting	reflect	VERB
ejpam-5987	264	24	how	how	SCONJ
ejpam-5987	264	25	different	different	ADJ
ejpam-5987	264	26	physical	physical	ADJ
ejpam-5987	264	27	phenomena	phenomenon	NOUN
ejpam-5987	264	28	can	can	AUX
ejpam-5987	264	29	influence	influence	VERB
ejpam-5987	264	30	the	the	DET
ejpam-5987	264	31	overall	overall	ADJ
ejpam-5987	264	32	system	system	NOUN
ejpam-5987	264	33	.	.	PUNCT
ejpam-5987	265	1	several	several	ADJ
ejpam-5987	265	2	dynamics	dynamic	NOUN
ejpam-5987	265	3	of	of	ADP
ejpam-5987	265	4	this	this	DET
ejpam-5987	265	5	solution	solution	NOUN
ejpam-5987	265	6	for	for	ADP
ejpam-5987	265	7	different	different	ADJ
ejpam-5987	265	8	values	value	NOUN
ejpam-5987	265	9	of	of	ADP
ejpam-5987	265	10	α	α	PROPN
ejpam-5987	265	11	are	be	AUX
ejpam-5987	265	12	displayed	display	VERB
ejpam-5987	265	13	in	in	ADP
ejpam-5987	265	14	fig.4	fig.4	PROPN
ejpam-5987	265	15	.	.	PUNCT
ejpam-5987	266	1	(	(	PUNCT
ejpam-5987	266	2	e	e	NOUN
ejpam-5987	266	3	):	):	PUNCT
ejpam-5987	266	4	by	by	ADP
ejpam-5987	266	5	incorporating	incorporate	VERB
ejpam-5987	266	6	φ(ξ	φ(ξ	PROPN
ejpam-5987	266	7	,	,	PUNCT
ejpam-5987	266	8	t	t	PROPN
ejpam-5987	266	9	)	)	PUNCT
ejpam-5987	266	10	=	=	PRON
ejpam-5987	266	11	e−x2	e−x2	PRON
ejpam-5987	266	12	sin(2πt	sin(2πt	NOUN
ejpam-5987	266	13	)	)	PUNCT
ejpam-5987	266	14	+	+	SYM
ejpam-5987	266	15	cos(πx	cos(πx	NOUN
ejpam-5987	266	16	)	)	PUNCT
ejpam-5987	266	17	,	,	PUNCT
ejpam-5987	266	18	(	(	PUNCT
ejpam-5987	266	19	66a	66a	X
ejpam-5987	266	20	)	)	PUNCT
ejpam-5987	266	21	f1(z	f1(z	PROPN
ejpam-5987	266	22	,	,	PUNCT
ejpam-5987	266	23	t	t	PROPN
ejpam-5987	266	24	)	)	PUNCT
ejpam-5987	266	25	=	=	SYM
ejpam-5987	266	26	sin(z	sin(z	PROPN
ejpam-5987	266	27	)	)	PUNCT
ejpam-5987	266	28	cos(ωt	cos(ωt	NOUN
ejpam-5987	266	29	)	)	PUNCT
ejpam-5987	267	1	+	+	CCONJ
ejpam-5987	267	2	0.5z	0.5z	NOUN
ejpam-5987	267	3	,	,	PUNCT
ejpam-5987	267	4	(	(	PUNCT
ejpam-5987	267	5	66b	66b	NOUN
ejpam-5987	267	6	)	)	PUNCT
ejpam-5987	267	7	λ(z	λ(z	NOUN
ejpam-5987	267	8	,	,	PUNCT
ejpam-5987	267	9	t	t	PROPN
ejpam-5987	267	10	)	)	PUNCT
ejpam-5987	267	11	=	=	SYM
ejpam-5987	267	12	t	t	PROPN
ejpam-5987	267	13	sin(2πz	sin(2πz	NUM
ejpam-5987	267	14	)	)	PUNCT
ejpam-5987	267	15	,	,	PUNCT
ejpam-5987	267	16	(	(	PUNCT
ejpam-5987	267	17	66c	66c	NUM
ejpam-5987	267	18	)	)	PUNCT
ejpam-5987	267	19	in	in	ADP
ejpam-5987	267	20	eq.(17	eq.(17	NOUN
ejpam-5987	267	21	)	)	PUNCT
ejpam-5987	267	22	,	,	PUNCT
ejpam-5987	267	23	we	we	PRON
ejpam-5987	267	24	have	have	VERB
ejpam-5987	267	25	u5(x	u5(x	PROPN
ejpam-5987	267	26	,	,	PUNCT
ejpam-5987	267	27	y	y	PROPN
ejpam-5987	267	28	,	,	PUNCT
ejpam-5987	267	29	z	z	PROPN
ejpam-5987	267	30	,	,	PUNCT
ejpam-5987	267	31	t	t	PROPN
ejpam-5987	267	32	)	)	PUNCT
ejpam-5987	267	33	=	=	SYM
ejpam-5987	267	34	cos(π(cos(t	cos(π(cos(t	NOUN
ejpam-5987	267	35	)	)	PUNCT
ejpam-5987	267	36	sin(z	sin(z	PROPN
ejpam-5987	267	37	)	)	PUNCT
ejpam-5987	267	38	+	+	NUM
ejpam-5987	267	39	αx+	αx+	PROPN
ejpam-5987	267	40	0.5z	0.5z	NOUN
ejpam-5987	267	41	)	)	PUNCT
ejpam-5987	267	42	)	)	PUNCT
ejpam-5987	268	1	+	+	CCONJ
ejpam-5987	268	2	sin(2πt)e−(cos(t	sin(2πt)e−(cos(t	NOUN
ejpam-5987	268	3	)	)	PUNCT
ejpam-5987	268	4	sin(z)+αx+0.5z)2	sin(z)+αx+0.5z)2	NOUN
ejpam-5987	268	5	−	−	PROPN
ejpam-5987	268	6	3y(cos(t	3y(cos(t	NUM
ejpam-5987	268	7	)	)	PUNCT
ejpam-5987	268	8	cos(z	cos(z	PROPN
ejpam-5987	268	9	)	)	PUNCT
ejpam-5987	269	1	+	+	NUM
ejpam-5987	269	2	0.5	0.5	NUM
ejpam-5987	269	3	)	)	PUNCT
ejpam-5987	269	4	2α	2α	NOUN
ejpam-5987	269	5	+	+	X
ejpam-5987	269	6	t	t	PROPN
ejpam-5987	269	7	sin(2πz	sin(2πz	NUM
ejpam-5987	269	8	)	)	PUNCT
ejpam-5987	269	9	.	.	PUNCT
ejpam-5987	270	1	(	(	PUNCT
ejpam-5987	270	2	67	67	X
ejpam-5987	270	3	)	)	PUNCT
ejpam-5987	270	4	s.	s.	PROPN
ejpam-5987	270	5	a.	a.	PROPN
ejpam-5987	270	6	m.	m.	PROPN
ejpam-5987	270	7	alsallami	alsallami	PROPN
ejpam-5987	270	8	,	,	PUNCT
ejpam-5987	270	9	m.	m.	NOUN
ejpam-5987	270	10	alkinidri	alkinidri	PROPN
ejpam-5987	270	11	/	/	SYM
ejpam-5987	270	12	eur	eur	PROPN
ejpam-5987	270	13	.	.	PUNCT
ejpam-5987	271	1	j.	j.	PROPN
ejpam-5987	271	2	pure	pure	PROPN
ejpam-5987	271	3	appl	appl	PROPN
ejpam-5987	271	4	.	.	PROPN
ejpam-5987	271	5	math	math	PROPN
ejpam-5987	271	6	,	,	PUNCT
ejpam-5987	271	7	18	18	NUM
ejpam-5987	271	8	(	(	PUNCT
ejpam-5987	271	9	2	2	NUM
ejpam-5987	271	10	)	)	PUNCT
ejpam-5987	271	11	(	(	PUNCT
ejpam-5987	271	12	2025	2025	NUM
ejpam-5987	271	13	)	)	PUNCT
ejpam-5987	271	14	,	,	PUNCT
ejpam-5987	271	15	5987	5987	NUM
ejpam-5987	271	16	13	13	NUM
ejpam-5987	271	17	of	of	ADP
ejpam-5987	271	18	22	22	NUM
ejpam-5987	271	19	figure	figure	NOUN
ejpam-5987	271	20	4	4	NUM
ejpam-5987	271	21	:	:	PUNCT
ejpam-5987	271	22	3d	3d	NUM
ejpam-5987	271	23	plot	plot	NOUN
ejpam-5987	271	24	of	of	ADP
ejpam-5987	271	25	u4(x	u4(x	PROPN
ejpam-5987	271	26	,	,	PUNCT
ejpam-5987	271	27	0.5	0.5	NUM
ejpam-5987	271	28	,	,	PUNCT
ejpam-5987	271	29	z	z	NOUN
ejpam-5987	271	30	,	,	PUNCT
ejpam-5987	271	31	0.2	0.2	NUM
ejpam-5987	271	32	)	)	PUNCT
ejpam-5987	271	33	for	for	ADP
ejpam-5987	271	34	different	different	ADJ
ejpam-5987	271	35	values	value	NOUN
ejpam-5987	271	36	of	of	ADP
ejpam-5987	271	37	α	α	PROPN
ejpam-5987	271	38	.	.	PUNCT
ejpam-5987	272	1	this	this	DET
ejpam-5987	272	2	solution	solution	NOUN
ejpam-5987	272	3	is	be	AUX
ejpam-5987	272	4	used	use	VERB
ejpam-5987	272	5	to	to	PART
ejpam-5987	272	6	explain	explain	VERB
ejpam-5987	272	7	a	a	DET
ejpam-5987	272	8	three	three	NUM
ejpam-5987	272	9	-	-	PUNCT
ejpam-5987	272	10	dimensional	dimensional	ADJ
ejpam-5987	272	11	wave	wave	NOUN
ejpam-5987	272	12	phenomenon	phenomenon	NOUN
ejpam-5987	272	13	where	where	SCONJ
ejpam-5987	272	14	the	the	DET
ejpam-5987	272	15	oscillations	oscillation	NOUN
ejpam-5987	272	16	and	and	CCONJ
ejpam-5987	272	17	propagation	propagation	NOUN
ejpam-5987	272	18	characteristics	characteristic	NOUN
ejpam-5987	272	19	are	be	AUX
ejpam-5987	272	20	influenced	influence	VERB
ejpam-5987	272	21	by	by	ADP
ejpam-5987	272	22	the	the	DET
ejpam-5987	272	23	spatial	spatial	ADJ
ejpam-5987	272	24	variables	variable	NOUN
ejpam-5987	272	25	x	x	NOUN
ejpam-5987	272	26	,	,	PUNCT
ejpam-5987	272	27	y	y	PROPN
ejpam-5987	272	28	,	,	PUNCT
ejpam-5987	272	29	z	z	NOUN
ejpam-5987	272	30	and	and	CCONJ
ejpam-5987	272	31	time	time	NOUN
ejpam-5987	272	32	t.	t.	PROPN
ejpam-5987	272	33	the	the	DET
ejpam-5987	272	34	contributions	contribution	NOUN
ejpam-5987	272	35	from	from	ADP
ejpam-5987	272	36	φ	φ	PROPN
ejpam-5987	272	37	,	,	PUNCT
ejpam-5987	272	38	f1	f1	NOUN
ejpam-5987	272	39	,	,	PUNCT
ejpam-5987	272	40	and	and	CCONJ
ejpam-5987	272	41	λ	λ	PROPN
ejpam-5987	272	42	highlight	highlight	VERB
ejpam-5987	272	43	interactions	interaction	NOUN
ejpam-5987	272	44	within	within	ADP
ejpam-5987	272	45	the	the	DET
ejpam-5987	272	46	system	system	NOUN
ejpam-5987	272	47	,	,	PUNCT
ejpam-5987	272	48	showcasing	showcase	VERB
ejpam-5987	272	49	complex	complex	ADJ
ejpam-5987	272	50	patterns	pattern	NOUN
ejpam-5987	272	51	and	and	CCONJ
ejpam-5987	272	52	modulations	modulation	NOUN
ejpam-5987	272	53	over	over	ADP
ejpam-5987	272	54	time	time	NOUN
ejpam-5987	272	55	while	while	SCONJ
ejpam-5987	272	56	remaining	remain	VERB
ejpam-5987	272	57	bounded	bound	VERB
ejpam-5987	272	58	in	in	ADP
ejpam-5987	272	59	the	the	DET
ejpam-5987	272	60	specified	specified	ADJ
ejpam-5987	272	61	range	range	NOUN
ejpam-5987	272	62	,	,	PUNCT
ejpam-5987	272	63	giving	give	VERB
ejpam-5987	272	64	insight	insight	NOUN
ejpam-5987	272	65	into	into	ADP
ejpam-5987	272	66	various	various	ADJ
ejpam-5987	272	67	physical	physical	ADJ
ejpam-5987	272	68	systems	system	NOUN
ejpam-5987	272	69	such	such	ADJ
ejpam-5987	272	70	as	as	ADP
ejpam-5987	272	71	fluid	fluid	ADJ
ejpam-5987	272	72	dynamics	dynamic	NOUN
ejpam-5987	272	73	or	or	CCONJ
ejpam-5987	272	74	wave	wave	NOUN
ejpam-5987	272	75	propagation	propagation	NOUN
ejpam-5987	272	76	.	.	PUNCT
ejpam-5987	273	1	several	several	ADJ
ejpam-5987	273	2	dynamics	dynamic	NOUN
ejpam-5987	273	3	of	of	ADP
ejpam-5987	273	4	this	this	DET
ejpam-5987	273	5	solution	solution	NOUN
ejpam-5987	273	6	for	for	ADP
ejpam-5987	273	7	different	different	ADJ
ejpam-5987	273	8	values	value	NOUN
ejpam-5987	273	9	of	of	ADP
ejpam-5987	273	10	α	α	PROPN
ejpam-5987	273	11	are	be	AUX
ejpam-5987	273	12	displayed	display	VERB
ejpam-5987	273	13	in	in	ADP
ejpam-5987	273	14	fig.5	fig.5	PROPN
ejpam-5987	273	15	.	.	PUNCT
ejpam-5987	274	1	figure	figure	NOUN
ejpam-5987	274	2	5	5	NUM
ejpam-5987	274	3	:	:	PUNCT
ejpam-5987	274	4	3d	3d	NUM
ejpam-5987	274	5	plot	plot	NOUN
ejpam-5987	274	6	of	of	ADP
ejpam-5987	274	7	u5(1.5	u5(1.5	NOUN
ejpam-5987	274	8	,	,	PUNCT
ejpam-5987	274	9	2.5	2.5	NUM
ejpam-5987	274	10	,	,	PUNCT
ejpam-5987	274	11	z	z	PROPN
ejpam-5987	274	12	,	,	PUNCT
ejpam-5987	274	13	t	t	PROPN
ejpam-5987	274	14	)	)	PUNCT
ejpam-5987	274	15	for	for	ADP
ejpam-5987	274	16	different	different	ADJ
ejpam-5987	274	17	values	value	NOUN
ejpam-5987	274	18	of	of	ADP
ejpam-5987	274	19	α	α	PROPN
ejpam-5987	274	20	.	.	PUNCT
ejpam-5987	275	1	(	(	PUNCT
ejpam-5987	275	2	f	f	X
ejpam-5987	275	3	):	):	PUNCT
ejpam-5987	275	4	through	through	ADP
ejpam-5987	275	5	inserting	insert	VERB
ejpam-5987	275	6	φ(ξ	φ(ξ	PROPN
ejpam-5987	275	7	,	,	PUNCT
ejpam-5987	275	8	t	t	PROPN
ejpam-5987	275	9	)	)	PUNCT
ejpam-5987	275	10	=	=	SYM
ejpam-5987	275	11	log(1	log(1	NOUN
ejpam-5987	276	1	+	+	CCONJ
ejpam-5987	276	2	x2	x2	X
ejpam-5987	276	3	)	)	PUNCT
ejpam-5987	276	4	cos(2πt	cos(2πt	PROPN
ejpam-5987	276	5	)	)	PUNCT
ejpam-5987	276	6	,	,	PUNCT
ejpam-5987	276	7	(	(	PUNCT
ejpam-5987	276	8	68a	68a	NOUN
ejpam-5987	276	9	)	)	PUNCT
ejpam-5987	276	10	f1(z	f1(z	PROPN
ejpam-5987	276	11	,	,	PUNCT
ejpam-5987	276	12	t	t	PROPN
ejpam-5987	276	13	)	)	PUNCT
ejpam-5987	276	14	=	=	SYM
ejpam-5987	276	15	sin(z2	sin(z2	PROPN
ejpam-5987	276	16	)	)	PUNCT
ejpam-5987	276	17	+	+	NUM
ejpam-5987	276	18	cos(3	cos(3	NOUN
ejpam-5987	276	19	t	t	PROPN
ejpam-5987	276	20	)	)	PUNCT
ejpam-5987	276	21	1	1	NUM
ejpam-5987	277	1	+	+	SYM
ejpam-5987	277	2	z2	z2	PROPN
ejpam-5987	277	3	,	,	PUNCT
ejpam-5987	277	4	(	(	PUNCT
ejpam-5987	277	5	68b	68b	NOUN
ejpam-5987	277	6	)	)	PUNCT
ejpam-5987	277	7	λ(z	λ(z	NOUN
ejpam-5987	277	8	,	,	PUNCT
ejpam-5987	277	9	t	t	PROPN
ejpam-5987	277	10	)	)	PUNCT
ejpam-5987	277	11	=	=	PUNCT
ejpam-5987	278	1	(	(	PUNCT
ejpam-5987	278	2	z2	z2	NOUN
ejpam-5987	278	3	+	+	CCONJ
ejpam-5987	278	4	2	2	NUM
ejpam-5987	278	5	)	)	PUNCT
ejpam-5987	278	6	cos(0.5πt	cos(0.5πt	NOUN
ejpam-5987	278	7	)	)	PUNCT
ejpam-5987	278	8	,	,	PUNCT
ejpam-5987	278	9	(	(	PUNCT
ejpam-5987	278	10	68c	68c	NOUN
ejpam-5987	278	11	)	)	PUNCT
ejpam-5987	278	12	s.	s.	PROPN
ejpam-5987	278	13	a.	a.	PROPN
ejpam-5987	278	14	m.	m.	PROPN
ejpam-5987	278	15	alsallami	alsallami	PROPN
ejpam-5987	278	16	,	,	PUNCT
ejpam-5987	278	17	m.	m.	NOUN
ejpam-5987	278	18	alkinidri	alkinidri	PROPN
ejpam-5987	278	19	/	/	SYM
ejpam-5987	278	20	eur	eur	PROPN
ejpam-5987	278	21	.	.	PUNCT
ejpam-5987	279	1	j.	j.	PROPN
ejpam-5987	279	2	pure	pure	PROPN
ejpam-5987	279	3	appl	appl	PROPN
ejpam-5987	279	4	.	.	PROPN
ejpam-5987	279	5	math	math	PROPN
ejpam-5987	279	6	,	,	PUNCT
ejpam-5987	279	7	18	18	NUM
ejpam-5987	279	8	(	(	PUNCT
ejpam-5987	279	9	2	2	NUM
ejpam-5987	279	10	)	)	PUNCT
ejpam-5987	279	11	(	(	PUNCT
ejpam-5987	279	12	2025	2025	NUM
ejpam-5987	279	13	)	)	PUNCT
ejpam-5987	279	14	,	,	PUNCT
ejpam-5987	279	15	5987	5987	NUM
ejpam-5987	279	16	14	14	NUM
ejpam-5987	279	17	of	of	ADP
ejpam-5987	279	18	22	22	NUM
ejpam-5987	279	19	in	in	ADP
ejpam-5987	279	20	eq.(17	eq.(17	NOUN
ejpam-5987	279	21	)	)	PUNCT
ejpam-5987	279	22	,	,	PUNCT
ejpam-5987	279	23	we	we	PRON
ejpam-5987	279	24	have	have	VERB
ejpam-5987	279	25	u6(x	u6(x	PROPN
ejpam-5987	279	26	,	,	PUNCT
ejpam-5987	279	27	y	y	PROPN
ejpam-5987	279	28	,	,	PUNCT
ejpam-5987	279	29	z	z	PROPN
ejpam-5987	279	30	,	,	PUNCT
ejpam-5987	279	31	t	t	PROPN
ejpam-5987	279	32	)	)	PUNCT
ejpam-5987	279	33	=	=	PUNCT
ejpam-5987	280	1	log	log	NOUN
ejpam-5987	280	2	(cos(3	(cos(3	PROPN
ejpam-5987	280	3	t	t	PROPN
ejpam-5987	280	4	)	)	PUNCT
ejpam-5987	281	1	+	+	CCONJ
ejpam-5987	281	2	sin	sin	NOUN
ejpam-5987	281	3	(	(	PUNCT
ejpam-5987	281	4	z2	z2	NOUN
ejpam-5987	281	5	)	)	PUNCT
ejpam-5987	281	6	z2	z2	PROPN
ejpam-5987	281	7	+	+	CCONJ
ejpam-5987	281	8	1	1	NUM
ejpam-5987	281	9	+	+	NUM
ejpam-5987	281	10	αx	αx	ADV
ejpam-5987	281	11	)	)	PUNCT
ejpam-5987	281	12	2	2	NUM
ejpam-5987	281	13	+	+	SYM
ejpam-5987	281	14	1	1	NUM
ejpam-5987	281	15			PROPN
ejpam-5987	281	16	cos(2πt	cos(2πt	NOUN
ejpam-5987	281	17	)	)	PUNCT
ejpam-5987	282	1	−	−	PROPN
ejpam-5987	283	1	3y	3y	NUM
ejpam-5987	283	2	(	(	PUNCT
ejpam-5987	283	3	2z	2z	NUM
ejpam-5987	283	4	cos(z2	cos(z2	NOUN
ejpam-5987	283	5	)	)	PUNCT
ejpam-5987	283	6	z2	z2	NOUN
ejpam-5987	283	7	+	+	PROPN
ejpam-5987	283	8	1	1	NUM
ejpam-5987	283	9	−	−	PROPN
ejpam-5987	283	10	2z(cos(3t)+sin(z2	2z(cos(3t)+sin(z2	NUM
ejpam-5987	283	11	)	)	PUNCT
ejpam-5987	283	12	)	)	PUNCT
ejpam-5987	284	1	(	(	PUNCT
ejpam-5987	284	2	z2	z2	NOUN
ejpam-5987	284	3	+	+	NOUN
ejpam-5987	284	4	1)2	1)2	NUM
ejpam-5987	284	5	)	)	PUNCT
ejpam-5987	284	6	2α	2α	NOUN
ejpam-5987	284	7	+	+	CCONJ
ejpam-5987	284	8	(	(	PUNCT
ejpam-5987	284	9	z2	z2	NOUN
ejpam-5987	284	10	+	+	CCONJ
ejpam-5987	284	11	2	2	NUM
ejpam-5987	284	12	)	)	PUNCT
ejpam-5987	284	13	cos((0.5πt	cos((0.5πt	NOUN
ejpam-5987	284	14	)	)	PUNCT
ejpam-5987	284	15	.	.	PUNCT
ejpam-5987	285	1	(	(	PUNCT
ejpam-5987	285	2	69	69	NUM
ejpam-5987	285	3	)	)	PUNCT
ejpam-5987	285	4	in	in	ADP
ejpam-5987	285	5	this	this	DET
ejpam-5987	285	6	solution	solution	NOUN
ejpam-5987	285	7	,	,	PUNCT
ejpam-5987	285	8	we	we	PRON
ejpam-5987	285	9	capture	capture	VERB
ejpam-5987	285	10	complex	complex	ADJ
ejpam-5987	285	11	oscillations	oscillation	NOUN
ejpam-5987	285	12	with	with	ADP
ejpam-5987	285	13	logarithmic	logarithmic	ADJ
ejpam-5987	285	14	variability	variability	NOUN
ejpam-5987	285	15	influenced	influence	VERB
ejpam-5987	285	16	by	by	ADP
ejpam-5987	285	17	both	both	CCONJ
ejpam-5987	285	18	spatial	spatial	ADJ
ejpam-5987	285	19	position	position	NOUN
ejpam-5987	285	20	and	and	CCONJ
ejpam-5987	285	21	temporal	temporal	ADJ
ejpam-5987	285	22	cycles	cycle	NOUN
ejpam-5987	285	23	.	.	PUNCT
ejpam-5987	286	1	this	this	PRON
ejpam-5987	286	2	indicates	indicate	VERB
ejpam-5987	286	3	various	various	ADJ
ejpam-5987	286	4	potential	potential	ADJ
ejpam-5987	286	5	states	state	NOUN
ejpam-5987	286	6	of	of	ADP
ejpam-5987	286	7	energy	energy	NOUN
ejpam-5987	286	8	or	or	CCONJ
ejpam-5987	286	9	information	information	NOUN
ejpam-5987	286	10	flowing	flow	VERB
ejpam-5987	286	11	in	in	ADP
ejpam-5987	286	12	a	a	DET
ejpam-5987	286	13	medium	medium	NOUN
ejpam-5987	286	14	,	,	PUNCT
ejpam-5987	286	15	as	as	SCONJ
ejpam-5987	286	16	the	the	DET
ejpam-5987	286	17	higher	high	ADJ
ejpam-5987	286	18	-	-	PUNCT
ejpam-5987	286	19	order	order	NOUN
ejpam-5987	286	20	interactions	interaction	NOUN
ejpam-5987	286	21	from	from	ADP
ejpam-5987	286	22	the	the	DET
ejpam-5987	286	23	compositional	compositional	ADJ
ejpam-5987	286	24	functions	function	NOUN
ejpam-5987	286	25	suggest	suggest	VERB
ejpam-5987	286	26	a	a	DET
ejpam-5987	286	27	rich	rich	ADJ
ejpam-5987	286	28	interplay	interplay	NOUN
ejpam-5987	286	29	of	of	ADP
ejpam-5987	286	30	forces	force	NOUN
ejpam-5987	286	31	or	or	CCONJ
ejpam-5987	286	32	fields	field	NOUN
ejpam-5987	286	33	in	in	ADP
ejpam-5987	286	34	a	a	DET
ejpam-5987	286	35	transient	transient	ADJ
ejpam-5987	286	36	environment	environment	NOUN
ejpam-5987	286	37	.	.	PUNCT
ejpam-5987	287	1	several	several	ADJ
ejpam-5987	287	2	dynamics	dynamic	NOUN
ejpam-5987	287	3	of	of	ADP
ejpam-5987	287	4	this	this	DET
ejpam-5987	287	5	solution	solution	NOUN
ejpam-5987	287	6	for	for	ADP
ejpam-5987	287	7	different	different	ADJ
ejpam-5987	287	8	values	value	NOUN
ejpam-5987	287	9	of	of	ADP
ejpam-5987	287	10	α	α	PROPN
ejpam-5987	287	11	are	be	AUX
ejpam-5987	287	12	displayed	display	VERB
ejpam-5987	287	13	in	in	ADP
ejpam-5987	287	14	fig.6	fig.6	PROPN
ejpam-5987	287	15	.	.	PUNCT
ejpam-5987	288	1	figure	figure	VERB
ejpam-5987	288	2	6	6	NUM
ejpam-5987	288	3	:	:	PUNCT
ejpam-5987	288	4	3d	3d	NUM
ejpam-5987	288	5	plot	plot	NOUN
ejpam-5987	288	6	of	of	ADP
ejpam-5987	288	7	u6(x	u6(x	PROPN
ejpam-5987	288	8	,	,	PUNCT
ejpam-5987	288	9	0.5	0.5	NUM
ejpam-5987	288	10	,	,	PUNCT
ejpam-5987	288	11	z	z	NOUN
ejpam-5987	288	12	,	,	PUNCT
ejpam-5987	288	13	0.2	0.2	NUM
ejpam-5987	288	14	)	)	PUNCT
ejpam-5987	288	15	for	for	ADP
ejpam-5987	288	16	different	different	ADJ
ejpam-5987	288	17	values	value	NOUN
ejpam-5987	288	18	of	of	ADP
ejpam-5987	288	19	α	α	NOUN
ejpam-5987	288	20	.	.	PUNCT
ejpam-5987	289	1	■	■	PUNCT
ejpam-5987	289	2	here	here	ADV
ejpam-5987	289	3	,	,	PUNCT
ejpam-5987	289	4	we	we	PRON
ejpam-5987	289	5	will	will	AUX
ejpam-5987	289	6	explore	explore	VERB
ejpam-5987	289	7	several	several	ADJ
ejpam-5987	289	8	non	non	ADJ
ejpam-5987	289	9	-	-	ADJ
ejpam-5987	289	10	traveling	traveling	ADJ
ejpam-5987	289	11	exact	exact	ADJ
ejpam-5987	289	12	solutions	solution	NOUN
ejpam-5987	289	13	obtained	obtain	VERB
ejpam-5987	289	14	from	from	ADP
ejpam-5987	289	15	the	the	DET
ejpam-5987	289	16	solution	solution	NOUN
ejpam-5987	289	17	(	(	PUNCT
ejpam-5987	289	18	27	27	NUM
ejpam-5987	289	19	)	)	PUNCT
ejpam-5987	289	20	,	,	PUNCT
ejpam-5987	289	21	as	as	SCONJ
ejpam-5987	289	22	follows	follow	VERB
ejpam-5987	289	23	.	.	PUNCT
ejpam-5987	290	1	(	(	PUNCT
ejpam-5987	290	2	a	a	X
ejpam-5987	290	3	):	):	PUNCT
ejpam-5987	290	4	by	by	ADP
ejpam-5987	290	5	inserting	insert	VERB
ejpam-5987	290	6	g(t	g(t	PROPN
ejpam-5987	290	7	)	)	PUNCT
ejpam-5987	290	8	=	=	SYM
ejpam-5987	290	9	cos(2πt	cos(2πt	PROPN
ejpam-5987	290	10	)	)	PUNCT
ejpam-5987	291	1	+	+	CCONJ
ejpam-5987	291	2	0.5	0.5	NUM
ejpam-5987	291	3	sin(5πt	sin(5πt	NOUN
ejpam-5987	291	4	)	)	PUNCT
ejpam-5987	291	5	,	,	PUNCT
ejpam-5987	291	6	f1(z	f1(z	PROPN
ejpam-5987	291	7	,	,	PUNCT
ejpam-5987	291	8	t	t	PROPN
ejpam-5987	291	9	)	)	PUNCT
ejpam-5987	291	10	=	=	SYM
ejpam-5987	292	1	1	1	NUM
ejpam-5987	292	2	+	+	NUM
ejpam-5987	292	3	0.5	0.5	NUM
ejpam-5987	292	4	cos(3z	cos(3z	PROPN
ejpam-5987	292	5	+	+	X
ejpam-5987	292	6	t	t	NOUN
ejpam-5987	292	7	)	)	PUNCT
ejpam-5987	292	8	,	,	PUNCT
ejpam-5987	292	9	(	(	PUNCT
ejpam-5987	292	10	70a	70a	NUM
ejpam-5987	292	11	)	)	PUNCT
ejpam-5987	292	12	f2(z	f2(z	PROPN
ejpam-5987	292	13	,	,	PUNCT
ejpam-5987	292	14	t	t	NOUN
ejpam-5987	292	15	)	)	PUNCT
ejpam-5987	292	16	=	=	NOUN
ejpam-5987	292	17	e−(0.1z)2	e−(0.1z)2	NOUN
ejpam-5987	292	18	sin(4	sin(4	NOUN
ejpam-5987	292	19	t	t	NOUN
ejpam-5987	292	20	)	)	PUNCT
ejpam-5987	292	21	,	,	PUNCT
ejpam-5987	292	22	λ(z	λ(z	PROPN
ejpam-5987	292	23	,	,	PUNCT
ejpam-5987	292	24	t	t	PROPN
ejpam-5987	292	25	)	)	PUNCT
ejpam-5987	292	26	=	=	SYM
ejpam-5987	292	27	1−	1−	NUM
ejpam-5987	292	28	e−0.05(z+t	e−0.05(z+t	PROPN
ejpam-5987	292	29	)	)	PUNCT
ejpam-5987	292	30	cos(2z	cos(2z	NOUN
ejpam-5987	292	31	)	)	PUNCT
ejpam-5987	292	32	,	,	PUNCT
ejpam-5987	292	33	(	(	PUNCT
ejpam-5987	292	34	70b	70b	NOUN
ejpam-5987	292	35	)	)	PUNCT
ejpam-5987	292	36	in	in	ADP
ejpam-5987	292	37	eq.(27	eq.(27	PROPN
ejpam-5987	292	38	)	)	PUNCT
ejpam-5987	292	39	,	,	PUNCT
ejpam-5987	292	40	one	one	PRON
ejpam-5987	292	41	gets	get	VERB
ejpam-5987	292	42	u7(x	u7(x	PROPN
ejpam-5987	292	43	,	,	PUNCT
ejpam-5987	292	44	y	y	PROPN
ejpam-5987	292	45	,	,	PUNCT
ejpam-5987	292	46	z	z	PROPN
ejpam-5987	292	47	,	,	PUNCT
ejpam-5987	292	48	t	t	PROPN
ejpam-5987	292	49	)	)	PUNCT
ejpam-5987	292	50	=	=	SYM
ejpam-5987	292	51	y(0.5	y(0.5	PROPN
ejpam-5987	292	52	cos(t+	cos(t+	NOUN
ejpam-5987	292	53	3z	3z	NUM
ejpam-5987	292	54	)	)	PUNCT
ejpam-5987	293	1	+	+	CCONJ
ejpam-5987	293	2	1)(0.5	1)(0.5	NUM
ejpam-5987	293	3	sin(5πt	sin(5πt	NOUN
ejpam-5987	293	4	)	)	PUNCT
ejpam-5987	293	5	+	+	NUM
ejpam-5987	293	6	cos(2πt))e−αx−e−0.01z2	cos(2πt))e−αx−e−0.01z2	PROPN
ejpam-5987	293	7	sin(4	sin(4	NOUN
ejpam-5987	293	8	t	t	PROPN
ejpam-5987	293	9	)	)	PUNCT
ejpam-5987	293	10	×	×	NOUN
ejpam-5987	293	11	(	(	PUNCT
ejpam-5987	293	12	0.03e−0.01z2z	0.03e−0.01z2z	NOUN
ejpam-5987	293	13	sin(4	sin(4	NOUN
ejpam-5987	293	14	t	t	NOUN
ejpam-5987	293	15	)	)	PUNCT
ejpam-5987	293	16	α	α	NOUN
ejpam-5987	293	17	−	−	PROPN
ejpam-5987	293	18	2.25	2.25	NUM
ejpam-5987	293	19	sin(t+	sin(t+	NOUN
ejpam-5987	293	20	3z	3z	NUM
ejpam-5987	293	21	)	)	PUNCT
ejpam-5987	293	22	α(0.5	α(0.5	NOUN
ejpam-5987	293	23	cos(t+	cos(t+	VERB
ejpam-5987	293	24	3z	3z	NUM
ejpam-5987	293	25	)	)	PUNCT
ejpam-5987	294	1	+	+	CCONJ
ejpam-5987	294	2	1	1	NUM
ejpam-5987	294	3	)	)	PUNCT
ejpam-5987	294	4	)	)	PUNCT
ejpam-5987	295	1	+	+	CCONJ
ejpam-5987	295	2	1−	1−	NUM
ejpam-5987	295	3	e−0.05(t+z	e−0.05(t+z	NOUN
ejpam-5987	295	4	)	)	PUNCT
ejpam-5987	295	5	cos(2z	cos(2z	NOUN
ejpam-5987	295	6	)	)	PUNCT
ejpam-5987	295	7	.	.	PUNCT
ejpam-5987	296	1	(	(	PUNCT
ejpam-5987	296	2	71	71	NUM
ejpam-5987	296	3	)	)	PUNCT
ejpam-5987	296	4	the	the	DET
ejpam-5987	296	5	solution	solution	NOUN
ejpam-5987	296	6	u7(x	u7(x	PROPN
ejpam-5987	296	7	,	,	PUNCT
ejpam-5987	296	8	y	y	PROPN
ejpam-5987	296	9	,	,	PUNCT
ejpam-5987	296	10	z	z	PROPN
ejpam-5987	296	11	,	,	PUNCT
ejpam-5987	296	12	t	t	PROPN
ejpam-5987	296	13	)	)	PUNCT
ejpam-5987	296	14	models	model	NOUN
ejpam-5987	296	15	the	the	DET
ejpam-5987	296	16	dynamic	dynamic	ADJ
ejpam-5987	296	17	system	system	NOUN
ejpam-5987	296	18	influenced	influence	VERB
ejpam-5987	296	19	by	by	ADP
ejpam-5987	296	20	spatial	spatial	ADJ
ejpam-5987	296	21	,	,	PUNCT
ejpam-5987	296	22	temporal	temporal	ADJ
ejpam-5987	296	23	,	,	PUNCT
ejpam-5987	296	24	and	and	CCONJ
ejpam-5987	296	25	oscillatory	oscillatory	ADJ
ejpam-5987	296	26	factors	factor	NOUN
ejpam-5987	296	27	.	.	PUNCT
ejpam-5987	297	1	the	the	DET
ejpam-5987	297	2	interplay	interplay	NOUN
ejpam-5987	297	3	between	between	ADP
ejpam-5987	297	4	the	the	DET
ejpam-5987	297	5	various	various	ADJ
ejpam-5987	297	6	components	component	NOUN
ejpam-5987	297	7	represents	represent	VERB
ejpam-5987	297	8	a	a	DET
ejpam-5987	297	9	wave	wave	NOUN
ejpam-5987	297	10	-	-	PUNCT
ejpam-5987	297	11	like	like	ADJ
ejpam-5987	297	12	s.	s.	PROPN
ejpam-5987	297	13	a.	a.	PROPN
ejpam-5987	297	14	m.	m.	PROPN
ejpam-5987	297	15	alsallami	alsallami	PROPN
ejpam-5987	297	16	,	,	PUNCT
ejpam-5987	297	17	m.	m.	NOUN
ejpam-5987	297	18	alkinidri	alkinidri	PROPN
ejpam-5987	297	19	/	/	SYM
ejpam-5987	297	20	eur	eur	PROPN
ejpam-5987	297	21	.	.	PUNCT
ejpam-5987	298	1	j.	j.	PROPN
ejpam-5987	298	2	pure	pure	PROPN
ejpam-5987	298	3	appl	appl	PROPN
ejpam-5987	298	4	.	.	PROPN
ejpam-5987	298	5	math	math	PROPN
ejpam-5987	298	6	,	,	PUNCT
ejpam-5987	298	7	18	18	NUM
ejpam-5987	298	8	(	(	PUNCT
ejpam-5987	298	9	2	2	NUM
ejpam-5987	298	10	)	)	PUNCT
ejpam-5987	298	11	(	(	PUNCT
ejpam-5987	298	12	2025	2025	NUM
ejpam-5987	298	13	)	)	PUNCT
ejpam-5987	298	14	,	,	PUNCT
ejpam-5987	298	15	5987	5987	NUM
ejpam-5987	298	16	15	15	NUM
ejpam-5987	298	17	of	of	ADP
ejpam-5987	298	18	22	22	NUM
ejpam-5987	298	19	phenomenon	phenomenon	NOUN
ejpam-5987	298	20	in	in	ADP
ejpam-5987	298	21	three	three	NUM
ejpam-5987	298	22	dimensions	dimension	NOUN
ejpam-5987	298	23	,	,	PUNCT
ejpam-5987	298	24	where	where	SCONJ
ejpam-5987	298	25	f1	f1	NOUN
ejpam-5987	298	26	and	and	CCONJ
ejpam-5987	298	27	f2	f2	PROPN
ejpam-5987	298	28	contribute	contribute	VERB
ejpam-5987	298	29	spatial	spatial	ADJ
ejpam-5987	298	30	complexity	complexity	NOUN
ejpam-5987	298	31	while	while	SCONJ
ejpam-5987	298	32	g	g	PROPN
ejpam-5987	298	33	and	and	CCONJ
ejpam-5987	298	34	λ	λ	PROPN
ejpam-5987	298	35	introduce	introduce	VERB
ejpam-5987	298	36	time	time	NOUN
ejpam-5987	298	37	-	-	PUNCT
ejpam-5987	298	38	dependent	dependent	ADJ
ejpam-5987	298	39	modulation	modulation	NOUN
ejpam-5987	298	40	.	.	PUNCT
ejpam-5987	299	1	the	the	DET
ejpam-5987	299	2	resulting	result	VERB
ejpam-5987	299	3	solution	solution	NOUN
ejpam-5987	299	4	encapsulates	encapsulate	VERB
ejpam-5987	299	5	the	the	DET
ejpam-5987	299	6	behavior	behavior	NOUN
ejpam-5987	299	7	of	of	ADP
ejpam-5987	299	8	a	a	DET
ejpam-5987	299	9	waveform	waveform	NOUN
ejpam-5987	299	10	that	that	PRON
ejpam-5987	299	11	evolves	evolve	VERB
ejpam-5987	299	12	in	in	ADP
ejpam-5987	299	13	time	time	NOUN
ejpam-5987	299	14	and	and	CCONJ
ejpam-5987	299	15	space	space	NOUN
ejpam-5987	299	16	,	,	PUNCT
ejpam-5987	299	17	bounded	bound	VERB
ejpam-5987	299	18	within	within	ADP
ejpam-5987	299	19	specified	specify	VERB
ejpam-5987	299	20	limits	limit	NOUN
ejpam-5987	299	21	.	.	PUNCT
ejpam-5987	300	1	(	(	PUNCT
ejpam-5987	300	2	b	b	NOUN
ejpam-5987	300	3	):	):	PUNCT
ejpam-5987	300	4	by	by	ADP
ejpam-5987	300	5	incorporating	incorporate	VERB
ejpam-5987	300	6	g(t	g(t	PROPN
ejpam-5987	300	7	)	)	PUNCT
ejpam-5987	300	8	=	=	SYM
ejpam-5987	300	9	sin(t	sin(t	PROPN
ejpam-5987	300	10	)	)	PUNCT
ejpam-5987	301	1	+	+	NUM
ejpam-5987	301	2	0.5t2	0.5t2	NUM
ejpam-5987	301	3	,	,	PUNCT
ejpam-5987	301	4	f1(z	f1(z	PROPN
ejpam-5987	301	5	,	,	PUNCT
ejpam-5987	301	6	t	t	PROPN
ejpam-5987	301	7	)	)	PUNCT
ejpam-5987	301	8	=	=	PUNCT
ejpam-5987	302	1	e−0.1z2	e−0.1z2	PROPN
ejpam-5987	302	2	cos(0.5t+	cos(0.5t+	PROPN
ejpam-5987	302	3	z	z	PROPN
ejpam-5987	302	4	)	)	PUNCT
ejpam-5987	302	5	,	,	PUNCT
ejpam-5987	302	6	(	(	PUNCT
ejpam-5987	302	7	72a	72a	NOUN
ejpam-5987	302	8	)	)	PUNCT
ejpam-5987	302	9	f2(z	f2(z	PROPN
ejpam-5987	302	10	,	,	PUNCT
ejpam-5987	302	11	t	t	PROPN
ejpam-5987	302	12	)	)	PUNCT
ejpam-5987	302	13	=	=	PUNCT
ejpam-5987	303	1	(	(	PUNCT
ejpam-5987	303	2	1	1	NUM
ejpam-5987	303	3	+	+	CCONJ
ejpam-5987	303	4	cos(z	cos(z	PROPN
ejpam-5987	303	5	+	+	PROPN
ejpam-5987	303	6	t	t	PROPN
ejpam-5987	303	7	2	2	NUM
ejpam-5987	303	8	)	)	PUNCT
ejpam-5987	303	9	)	)	PUNCT
ejpam-5987	304	1	2,λ(z	2,λ(z	NUM
ejpam-5987	304	2	,	,	PUNCT
ejpam-5987	304	3	t	t	PROPN
ejpam-5987	304	4	)	)	PUNCT
ejpam-5987	304	5	=	=	SYM
ejpam-5987	304	6	sin(zt	sin(zt	NUM
ejpam-5987	304	7	)	)	PUNCT
ejpam-5987	305	1	+	+	NUM
ejpam-5987	305	2	0.5z	0.5z	NOUN
ejpam-5987	305	3	,	,	PUNCT
ejpam-5987	305	4	(	(	PUNCT
ejpam-5987	305	5	72b	72b	NOUN
ejpam-5987	305	6	)	)	PUNCT
ejpam-5987	305	7	in	in	ADP
ejpam-5987	305	8	eq.(27	eq.(27	PROPN
ejpam-5987	305	9	)	)	PUNCT
ejpam-5987	305	10	,	,	PUNCT
ejpam-5987	305	11	it	it	PRON
ejpam-5987	305	12	reads	read	VERB
ejpam-5987	305	13	u8(x	u8(x	PROPN
ejpam-5987	305	14	,	,	PUNCT
ejpam-5987	305	15	y	y	PROPN
ejpam-5987	305	16	,	,	PUNCT
ejpam-5987	305	17	z	z	PROPN
ejpam-5987	305	18	,	,	PUNCT
ejpam-5987	305	19	t	t	PROPN
ejpam-5987	305	20	)	)	PUNCT
ejpam-5987	306	1	=	=	SYM
ejpam-5987	306	2	y	y	PROPN
ejpam-5987	306	3	(	(	PUNCT
ejpam-5987	306	4	0.5t2	0.5t2	NUM
ejpam-5987	306	5	+	+	CCONJ
ejpam-5987	306	6	sin(t	sin(t	NUM
ejpam-5987	306	7	)	)	PUNCT
ejpam-5987	306	8	)	)	PUNCT
ejpam-5987	307	1	cos(0.5t+	cos(0.5t+	PROPN
ejpam-5987	307	2	z	z	X
ejpam-5987	307	3	)	)	PUNCT
ejpam-5987	307	4	e−αx−(cos(0.5t+z)+1)2−0.1z2	e−αx−(cos(0.5t+z)+1)2−0.1z2	PUNCT
ejpam-5987	308	1	·	·	PUNCT
ejpam-5987	308	2	(	(	PUNCT
ejpam-5987	308	3	−3	−3	INTJ
ejpam-5987	308	4	sin(0.5t+	sin(0.5t+	ADJ
ejpam-5987	308	5	z)−	z)−	PROPN
ejpam-5987	308	6	0.6z	0.6z	NOUN
ejpam-5987	308	7	cos(0.5t+	cos(0.5t+	PROPN
ejpam-5987	308	8	z	z	X
ejpam-5987	308	9	)	)	PUNCT
ejpam-5987	308	10	2α	2α	NOUN
ejpam-5987	308	11	sec(0.5t+	sec(0.5t+	PROPN
ejpam-5987	308	12	z	z	PROPN
ejpam-5987	308	13	)	)	PUNCT
ejpam-5987	309	1	+	+	CCONJ
ejpam-5987	309	2	3	3	NUM
ejpam-5987	309	3	sin(0.5t+	sin(0.5t+	PROPN
ejpam-5987	309	4	z	z	NOUN
ejpam-5987	309	5	)	)	PUNCT
ejpam-5987	309	6	(	(	PUNCT
ejpam-5987	309	7	cos(0.5t+	cos(0.5t+	PROPN
ejpam-5987	309	8	z	z	X
ejpam-5987	309	9	)	)	PUNCT
ejpam-5987	310	1	+	+	CCONJ
ejpam-5987	310	2	1	1	X
ejpam-5987	310	3	)	)	PUNCT
ejpam-5987	310	4	α	α	NOUN
ejpam-5987	310	5	)	)	PUNCT
ejpam-5987	311	1	+	+	CCONJ
ejpam-5987	311	2	sin(tz	sin(tz	NUM
ejpam-5987	311	3	)	)	PUNCT
ejpam-5987	312	1	+	+	SYM
ejpam-5987	312	2	0.5z	0.5z	NOUN
ejpam-5987	312	3	.	.	PUNCT
ejpam-5987	313	1	(	(	PUNCT
ejpam-5987	313	2	73	73	NUM
ejpam-5987	313	3	)	)	PUNCT
ejpam-5987	313	4	the	the	DET
ejpam-5987	313	5	solution	solution	NOUN
ejpam-5987	313	6	u8(x	u8(x	PROPN
ejpam-5987	313	7	,	,	PUNCT
ejpam-5987	313	8	y	y	PROPN
ejpam-5987	313	9	,	,	PUNCT
ejpam-5987	313	10	z	z	PROPN
ejpam-5987	313	11	,	,	PUNCT
ejpam-5987	313	12	t	t	PROPN
ejpam-5987	313	13	)	)	PUNCT
ejpam-5987	313	14	represents	represent	VERB
ejpam-5987	313	15	a	a	DET
ejpam-5987	313	16	dynamical	dynamical	ADJ
ejpam-5987	313	17	system	system	NOUN
ejpam-5987	313	18	influenced	influence	VERB
ejpam-5987	313	19	by	by	ADP
ejpam-5987	313	20	various	various	ADJ
ejpam-5987	313	21	spatial	spatial	ADJ
ejpam-5987	313	22	and	and	CCONJ
ejpam-5987	313	23	temporal	temporal	ADJ
ejpam-5987	313	24	factors	factor	NOUN
ejpam-5987	313	25	.	.	PUNCT
ejpam-5987	314	1	the	the	DET
ejpam-5987	314	2	components	component	NOUN
ejpam-5987	314	3	f1	f1	PROPN
ejpam-5987	314	4	,	,	PUNCT
ejpam-5987	314	5	f2	f2	PROPN
ejpam-5987	314	6	,	,	PUNCT
ejpam-5987	314	7	and	and	CCONJ
ejpam-5987	314	8	λ	λ	PROPN
ejpam-5987	314	9	introduce	introduce	VERB
ejpam-5987	314	10	oscillatory	oscillatory	ADJ
ejpam-5987	314	11	behavior	behavior	NOUN
ejpam-5987	314	12	and	and	CCONJ
ejpam-5987	314	13	modulated	modulate	VERB
ejpam-5987	314	14	growth	growth	NOUN
ejpam-5987	314	15	dependent	dependent	ADJ
ejpam-5987	314	16	on	on	ADP
ejpam-5987	314	17	the	the	DET
ejpam-5987	314	18	dimensions	dimension	NOUN
ejpam-5987	314	19	z	z	PROPN
ejpam-5987	314	20	and	and	CCONJ
ejpam-5987	314	21	time	time	NOUN
ejpam-5987	314	22	t	t	PROPN
ejpam-5987	314	23	,	,	PUNCT
ejpam-5987	314	24	while	while	SCONJ
ejpam-5987	314	25	g	g	NOUN
ejpam-5987	314	26	contributes	contribute	VERB
ejpam-5987	314	27	a	a	DET
ejpam-5987	314	28	smooth	smooth	ADJ
ejpam-5987	314	29	,	,	PUNCT
ejpam-5987	314	30	evolving	evolve	VERB
ejpam-5987	314	31	amplitude	amplitude	NOUN
ejpam-5987	314	32	profile	profile	NOUN
ejpam-5987	314	33	.	.	PUNCT
ejpam-5987	315	1	the	the	DET
ejpam-5987	315	2	derivatives	derivative	NOUN
ejpam-5987	315	3	incorporate	incorporate	VERB
ejpam-5987	315	4	interactions	interaction	NOUN
ejpam-5987	315	5	resulting	result	VERB
ejpam-5987	315	6	in	in	ADP
ejpam-5987	315	7	shifts	shift	NOUN
ejpam-5987	315	8	of	of	ADP
ejpam-5987	315	9	equilibrium	equilibrium	NOUN
ejpam-5987	315	10	state	state	NOUN
ejpam-5987	315	11	affected	affect	VERB
ejpam-5987	315	12	by	by	ADP
ejpam-5987	315	13	the	the	DET
ejpam-5987	315	14	spatial	spatial	ADJ
ejpam-5987	315	15	dimensions	dimension	NOUN
ejpam-5987	315	16	and	and	CCONJ
ejpam-5987	315	17	oscillations	oscillation	NOUN
ejpam-5987	315	18	.	.	PUNCT
ejpam-5987	316	1	(	(	PUNCT
ejpam-5987	316	2	c	c	X
ejpam-5987	316	3	):	):	PUNCT
ejpam-5987	316	4	by	by	ADP
ejpam-5987	316	5	incorporating	incorporate	VERB
ejpam-5987	316	6	g(t	g(t	PROPN
ejpam-5987	316	7	)	)	PUNCT
ejpam-5987	316	8	=	=	SYM
ejpam-5987	316	9	sin2(t	sin2(t	X
ejpam-5987	316	10	)	)	PUNCT
ejpam-5987	316	11	+	+	CCONJ
ejpam-5987	316	12	0.1	0.1	NUM
ejpam-5987	316	13	,	,	PUNCT
ejpam-5987	316	14	f1(z	f1(z	PROPN
ejpam-5987	316	15	,	,	PUNCT
ejpam-5987	316	16	t	t	NOUN
ejpam-5987	316	17	)	)	PUNCT
ejpam-5987	316	18	=	=	SYM
ejpam-5987	316	19	e−(z2+t2	e−(z2+t2	NOUN
ejpam-5987	316	20	)	)	PUNCT
ejpam-5987	316	21	cos(2πt	cos(2πt	PROPN
ejpam-5987	316	22	)	)	PUNCT
ejpam-5987	317	1	+	+	NUM
ejpam-5987	317	2	0.5	0.5	NUM
ejpam-5987	317	3	,	,	PUNCT
ejpam-5987	317	4	(	(	PUNCT
ejpam-5987	317	5	74a	74a	NOUN
ejpam-5987	317	6	)	)	PUNCT
ejpam-5987	317	7	f2(z	f2(z	PROPN
ejpam-5987	317	8	,	,	PUNCT
ejpam-5987	317	9	t	t	PROPN
ejpam-5987	317	10	)	)	PUNCT
ejpam-5987	317	11	=	=	NOUN
ejpam-5987	318	1	2e−0.4z2	2e−0.4z2	NUM
ejpam-5987	318	2	+	+	CCONJ
ejpam-5987	318	3	cos(πz),λ(z	cos(πz),λ(z	NOUN
ejpam-5987	318	4	,	,	PUNCT
ejpam-5987	318	5	t	t	NOUN
ejpam-5987	318	6	)	)	PUNCT
ejpam-5987	318	7	=	=	SYM
ejpam-5987	318	8	sin(0.5z	sin(0.5z	NOUN
ejpam-5987	318	9	+	+	X
ejpam-5987	318	10	t	t	NOUN
ejpam-5987	318	11	)	)	PUNCT
ejpam-5987	319	1	+	+	NUM
ejpam-5987	319	2	1	1	NUM
ejpam-5987	319	3	,	,	PUNCT
ejpam-5987	319	4	(	(	PUNCT
ejpam-5987	319	5	74b	74b	NOUN
ejpam-5987	319	6	)	)	PUNCT
ejpam-5987	319	7	in	in	ADP
ejpam-5987	319	8	eq.(27	eq.(27	PROPN
ejpam-5987	319	9	)	)	PUNCT
ejpam-5987	319	10	,	,	PUNCT
ejpam-5987	319	11	we	we	PRON
ejpam-5987	319	12	obtain	obtain	VERB
ejpam-5987	319	13	u9(x	u9(x	PRON
ejpam-5987	319	14	,	,	PUNCT
ejpam-5987	319	15	y	y	PROPN
ejpam-5987	319	16	,	,	PUNCT
ejpam-5987	319	17	z	z	PROPN
ejpam-5987	319	18	,	,	PUNCT
ejpam-5987	319	19	t	t	PROPN
ejpam-5987	319	20	)	)	PUNCT
ejpam-5987	319	21	=	=	SYM
ejpam-5987	319	22	sin(t+	sin(t+	NOUN
ejpam-5987	319	23	0.5z	0.5z	NOUN
ejpam-5987	319	24	)	)	PUNCT
ejpam-5987	320	1	+	+	CCONJ
ejpam-5987	320	2	1	1	NUM
ejpam-5987	321	1	+	+	NUM
ejpam-5987	321	2	y	y	PROPN
ejpam-5987	321	3	(	(	PUNCT
ejpam-5987	321	4	sin2(t	sin2(t	NOUN
ejpam-5987	321	5	)	)	PUNCT
ejpam-5987	321	6	+	+	CCONJ
ejpam-5987	321	7	0.1	0.1	NUM
ejpam-5987	321	8	)	)	PUNCT
ejpam-5987	321	9	(	(	PUNCT
ejpam-5987	321	10	e−t2−z2	e−t2−z2	PROPN
ejpam-5987	321	11	cos(2πt	cos(2πt	NUM
ejpam-5987	321	12	)	)	PUNCT
ejpam-5987	321	13	+	+	CCONJ
ejpam-5987	321	14	0.5	0.5	NUM
ejpam-5987	321	15	)	)	PUNCT
ejpam-5987	321	16	−	−	NOUN
ejpam-5987	321	17	3ze−t2−z2	3ze−t2−z2	NUM
ejpam-5987	321	18	cos(2πt	cos(2πt	NUM
ejpam-5987	321	19	)	)	PUNCT
ejpam-5987	322	1	α	α	PROPN
ejpam-5987	322	2	(	(	PUNCT
ejpam-5987	322	3	e−t2−z2	e−t2−z2	PROPN
ejpam-5987	322	4	cos(2πt	cos(2πt	NUM
ejpam-5987	322	5	)	)	PUNCT
ejpam-5987	323	1	+	+	CCONJ
ejpam-5987	323	2	0.5	0.5	NUM
ejpam-5987	323	3	)	)	PUNCT
ejpam-5987	323	4	−	−	PROPN
ejpam-5987	323	5	3	3	NUM
ejpam-5987	323	6	(	(	PUNCT
ejpam-5987	323	7	−1.6e−0.4z2z	−1.6e−0.4z2z	NUM
ejpam-5987	323	8	−	−	PROPN
ejpam-5987	323	9	π	π	NOUN
ejpam-5987	323	10	sin(πz	sin(πz	NOUN
ejpam-5987	323	11	)	)	PUNCT
ejpam-5987	323	12	)	)	PUNCT
ejpam-5987	324	1	2α	2α	NOUN
ejpam-5987	324	2			PROPN
ejpam-5987	324	3	e−αx−2e−0.4z2−cos(πz	e−αx−2e−0.4z2−cos(πz	NOUN
ejpam-5987	324	4	)	)	PUNCT
ejpam-5987	324	5	.	.	PUNCT
ejpam-5987	325	1	(	(	PUNCT
ejpam-5987	325	2	75	75	NUM
ejpam-5987	325	3	)	)	PUNCT
ejpam-5987	325	4	this	this	DET
ejpam-5987	325	5	solution	solution	NOUN
ejpam-5987	325	6	models	model	VERB
ejpam-5987	325	7	the	the	DET
ejpam-5987	325	8	dynamic	dynamic	ADJ
ejpam-5987	325	9	behavior	behavior	NOUN
ejpam-5987	325	10	of	of	ADP
ejpam-5987	325	11	a	a	DET
ejpam-5987	325	12	physical	physical	ADJ
ejpam-5987	325	13	system	system	NOUN
ejpam-5987	325	14	that	that	PRON
ejpam-5987	325	15	exhibits	exhibit	VERB
ejpam-5987	325	16	oscillatory	oscillatory	ADJ
ejpam-5987	325	17	and	and	CCONJ
ejpam-5987	325	18	wave	wave	NOUN
ejpam-5987	325	19	-	-	PUNCT
ejpam-5987	325	20	like	like	ADJ
ejpam-5987	325	21	characteristics	characteristic	NOUN
ejpam-5987	325	22	in	in	ADP
ejpam-5987	325	23	three	three	NUM
ejpam-5987	325	24	-	-	PUNCT
ejpam-5987	325	25	dimensional	dimensional	ADJ
ejpam-5987	325	26	space	space	NOUN
ejpam-5987	325	27	.	.	PUNCT
ejpam-5987	326	1	the	the	DET
ejpam-5987	326	2	components	component	NOUN
ejpam-5987	326	3	of	of	ADP
ejpam-5987	326	4	the	the	DET
ejpam-5987	326	5	solution	solution	NOUN
ejpam-5987	326	6	contribute	contribute	VERB
ejpam-5987	326	7	to	to	ADP
ejpam-5987	326	8	the	the	DET
ejpam-5987	326	9	spatial	spatial	ADJ
ejpam-5987	326	10	and	and	CCONJ
ejpam-5987	326	11	temporal	temporal	ADJ
ejpam-5987	326	12	modulation	modulation	NOUN
ejpam-5987	326	13	of	of	ADP
ejpam-5987	326	14	the	the	DET
ejpam-5987	326	15	system	system	NOUN
ejpam-5987	326	16	.	.	PUNCT
ejpam-5987	327	1	the	the	DET
ejpam-5987	327	2	presence	presence	NOUN
ejpam-5987	327	3	of	of	ADP
ejpam-5987	327	4	exponential	exponential	ADJ
ejpam-5987	327	5	and	and	CCONJ
ejpam-5987	327	6	trigonometric	trigonometric	ADJ
ejpam-5987	327	7	terms	term	NOUN
ejpam-5987	327	8	suggests	suggest	VERB
ejpam-5987	327	9	a	a	DET
ejpam-5987	327	10	phenomenon	phenomenon	NOUN
ejpam-5987	327	11	where	where	SCONJ
ejpam-5987	327	12	waves	wave	NOUN
ejpam-5987	327	13	propagate	propagate	VERB
ejpam-5987	327	14	through	through	ADP
ejpam-5987	327	15	a	a	DET
ejpam-5987	327	16	medium	medium	NOUN
ejpam-5987	327	17	,	,	PUNCT
ejpam-5987	327	18	influenced	influence	VERB
ejpam-5987	327	19	by	by	ADP
ejpam-5987	327	20	both	both	CCONJ
ejpam-5987	327	21	spatial	spatial	ADJ
ejpam-5987	327	22	coordinates	coordinate	NOUN
ejpam-5987	327	23	and	and	CCONJ
ejpam-5987	327	24	time	time	NOUN
ejpam-5987	327	25	.	.	PUNCT
ejpam-5987	328	1	(	(	PUNCT
ejpam-5987	328	2	d	d	NOUN
ejpam-5987	328	3	):	):	PUNCT
ejpam-5987	328	4	through	through	ADP
ejpam-5987	328	5	the	the	DET
ejpam-5987	328	6	insertion	insertion	NOUN
ejpam-5987	328	7	of	of	ADP
ejpam-5987	328	8	g(t	g(t	PROPN
ejpam-5987	328	9	)	)	PUNCT
ejpam-5987	328	10	=	=	SYM
ejpam-5987	328	11	sin(t2	sin(t2	PROPN
ejpam-5987	328	12	)	)	PUNCT
ejpam-5987	328	13	+	+	NUM
ejpam-5987	328	14	0.5	0.5	NUM
ejpam-5987	328	15	cos	co	NOUN
ejpam-5987	328	16	(	(	PUNCT
ejpam-5987	328	17	t	t	PROPN
ejpam-5987	328	18	3	3	NUM
ejpam-5987	328	19	)	)	PUNCT
ejpam-5987	328	20	,	,	PUNCT
ejpam-5987	328	21	f1(z	f1(z	PROPN
ejpam-5987	328	22	,	,	PUNCT
ejpam-5987	328	23	t	t	PROPN
ejpam-5987	328	24	)	)	PUNCT
ejpam-5987	328	25	=	=	SYM
ejpam-5987	329	1	e−	e−	VERB
ejpam-5987	329	2	1	1	NUM
ejpam-5987	329	3	2	2	NUM
ejpam-5987	329	4	z2	z2	PROPN
ejpam-5987	329	5	sin(2z	sin(2z	VERB
ejpam-5987	329	6	+	+	CCONJ
ejpam-5987	329	7	t	t	PROPN
ejpam-5987	329	8	)	)	PUNCT
ejpam-5987	329	9	,	,	PUNCT
ejpam-5987	329	10	(	(	PUNCT
ejpam-5987	329	11	76a	76a	X
ejpam-5987	329	12	)	)	PUNCT
ejpam-5987	329	13	s.	s.	PROPN
ejpam-5987	329	14	a.	a.	PROPN
ejpam-5987	329	15	m.	m.	PROPN
ejpam-5987	329	16	alsallami	alsallami	PROPN
ejpam-5987	329	17	,	,	PUNCT
ejpam-5987	329	18	m.	m.	NOUN
ejpam-5987	329	19	alkinidri	alkinidri	PROPN
ejpam-5987	329	20	/	/	SYM
ejpam-5987	329	21	eur	eur	PROPN
ejpam-5987	329	22	.	.	PUNCT
ejpam-5987	330	1	j.	j.	PROPN
ejpam-5987	330	2	pure	pure	PROPN
ejpam-5987	330	3	appl	appl	PROPN
ejpam-5987	330	4	.	.	PROPN
ejpam-5987	330	5	math	math	PROPN
ejpam-5987	330	6	,	,	PUNCT
ejpam-5987	330	7	18	18	NUM
ejpam-5987	330	8	(	(	PUNCT
ejpam-5987	330	9	2	2	NUM
ejpam-5987	330	10	)	)	PUNCT
ejpam-5987	330	11	(	(	PUNCT
ejpam-5987	330	12	2025	2025	NUM
ejpam-5987	330	13	)	)	PUNCT
ejpam-5987	330	14	,	,	PUNCT
ejpam-5987	330	15	5987	5987	NUM
ejpam-5987	330	16	16	16	NUM
ejpam-5987	330	17	of	of	ADP
ejpam-5987	330	18	22	22	NUM
ejpam-5987	330	19	f2(z	f2(z	PROPN
ejpam-5987	330	20	,	,	PUNCT
ejpam-5987	330	21	t	t	PROPN
ejpam-5987	330	22	)	)	PUNCT
ejpam-5987	330	23	=	=	PUNCT
ejpam-5987	330	24	0.3z2	0.3z2	NUM
ejpam-5987	331	1	+	+	CCONJ
ejpam-5987	331	2	0.5	0.5	NUM
ejpam-5987	331	3	sin(2	sin(2	ADJ
ejpam-5987	331	4	t	t	PROPN
ejpam-5987	331	5	)	)	PUNCT
ejpam-5987	331	6	+	+	CCONJ
ejpam-5987	331	7	0.2	0.2	NUM
ejpam-5987	331	8	cos(3z	cos(3z	NUM
ejpam-5987	331	9	)	)	PUNCT
ejpam-5987	331	10	,	,	PUNCT
ejpam-5987	331	11	λ(z	λ(z	PROPN
ejpam-5987	331	12	,	,	PUNCT
ejpam-5987	331	13	t	t	PROPN
ejpam-5987	331	14	)	)	PUNCT
ejpam-5987	331	15	=	=	SYM
ejpam-5987	331	16	5	5	NUM
ejpam-5987	331	17	sin(z	sin(z	PROPN
ejpam-5987	331	18	)	)	PUNCT
ejpam-5987	331	19	+	+	CCONJ
ejpam-5987	331	20	3	3	NUM
ejpam-5987	331	21	cos(t	cos(t	NUM
ejpam-5987	331	22	)	)	PUNCT
ejpam-5987	331	23	+	+	SYM
ejpam-5987	331	24	z2	z2	PROPN
ejpam-5987	331	25	10	10	NUM
ejpam-5987	331	26	,	,	PUNCT
ejpam-5987	331	27	(	(	PUNCT
ejpam-5987	331	28	76b	76b	X
ejpam-5987	331	29	)	)	PUNCT
ejpam-5987	331	30	in	in	ADP
ejpam-5987	331	31	eq.(27	eq.(27	PROPN
ejpam-5987	331	32	)	)	PUNCT
ejpam-5987	331	33	,	,	PUNCT
ejpam-5987	331	34	we	we	PRON
ejpam-5987	331	35	derive	derive	VERB
ejpam-5987	331	36	u10(x	u10(x	NOUN
ejpam-5987	331	37	,	,	PUNCT
ejpam-5987	331	38	y	y	PROPN
ejpam-5987	331	39	,	,	PUNCT
ejpam-5987	331	40	z	z	PROPN
ejpam-5987	331	41	,	,	PUNCT
ejpam-5987	331	42	t	t	PROPN
ejpam-5987	331	43	)	)	PUNCT
ejpam-5987	331	44	=	=	SYM
ejpam-5987	331	45	y	y	PROPN
ejpam-5987	331	46	sin(t+	sin(t+	PROPN
ejpam-5987	331	47	2z	2z	NUM
ejpam-5987	331	48	)	)	PUNCT
ejpam-5987	331	49	(	(	PUNCT
ejpam-5987	331	50	sin	sin	NOUN
ejpam-5987	331	51	(	(	PUNCT
ejpam-5987	331	52	t2	t2	PROPN
ejpam-5987	331	53	)	)	PUNCT
ejpam-5987	331	54	+	+	CCONJ
ejpam-5987	331	55	0.5	0.5	NUM
ejpam-5987	331	56	cos	co	NOUN
ejpam-5987	331	57	(	(	PUNCT
ejpam-5987	331	58	t	t	PROPN
ejpam-5987	331	59	3	3	NUM
ejpam-5987	331	60	)	)	PUNCT
ejpam-5987	331	61	)	)	PUNCT
ejpam-5987	332	1	e−αx−0.5	e−αx−0.5	VERB
ejpam-5987	332	2	sin(2t)−0.8z2−0.2	sin(2t)−0.8z2−0.2	NOUN
ejpam-5987	332	3	cos(3z	cos(3z	PROPN
ejpam-5987	332	4	)	)	PUNCT
ejpam-5987	332	5	3e	3e	NOUN
ejpam-5987	332	6	z2	z2	NOUN
ejpam-5987	332	7	2	2	NUM
ejpam-5987	332	8	csc(t+	csc(t+	NOUN
ejpam-5987	332	9	2z	2z	NUM
ejpam-5987	332	10	)	)	PUNCT
ejpam-5987	332	11	(	(	PUNCT
ejpam-5987	332	12	2e−	2e−	PROPN
ejpam-5987	332	13	z2	z2	PROPN
ejpam-5987	332	14	2	2	NUM
ejpam-5987	332	15	cos(t+	cos(t+	NOUN
ejpam-5987	332	16	2z)−	2z)−	NUM
ejpam-5987	332	17	e−	e−	PROPN
ejpam-5987	332	18	z2	z2	NOUN
ejpam-5987	332	19	2	2	NUM
ejpam-5987	332	20	z	z	NOUN
ejpam-5987	332	21	sin(t+	sin(t+	NOUN
ejpam-5987	332	22	2z	2z	NUM
ejpam-5987	332	23	)	)	PUNCT
ejpam-5987	332	24	)	)	PUNCT
ejpam-5987	333	1	2α	2α	NOUN
ejpam-5987	333	2	−	−	PROPN
ejpam-5987	333	3	3(0.6z	3(0.6z	NUM
ejpam-5987	333	4	−	−	PROPN
ejpam-5987	333	5	0.6	0.6	NUM
ejpam-5987	333	6	sin(3z	sin(3z	NOUN
ejpam-5987	333	7	)	)	PUNCT
ejpam-5987	333	8	)	)	PUNCT
ejpam-5987	334	1	2α	2α	NOUN
ejpam-5987	334	2			NOUN
ejpam-5987	334	3	+	+	CCONJ
ejpam-5987	334	4	3	3	NUM
ejpam-5987	334	5	cos(t	cos(t	NUM
ejpam-5987	334	6	)	)	PUNCT
ejpam-5987	334	7	+	+	NOUN
ejpam-5987	334	8	z2	z2	NOUN
ejpam-5987	334	9	10	10	NUM
ejpam-5987	334	10	+	+	SYM
ejpam-5987	334	11	5	5	NUM
ejpam-5987	334	12	sin(z	sin(z	PROPN
ejpam-5987	334	13	)	)	PUNCT
ejpam-5987	334	14	.	.	PUNCT
ejpam-5987	335	1	(	(	PUNCT
ejpam-5987	335	2	77	77	X
ejpam-5987	335	3	)	)	PUNCT
ejpam-5987	335	4	the	the	DET
ejpam-5987	335	5	derived	derive	VERB
ejpam-5987	335	6	solution	solution	NOUN
ejpam-5987	335	7	u10(x	u10(x	NOUN
ejpam-5987	335	8	,	,	PUNCT
ejpam-5987	335	9	y	y	PROPN
ejpam-5987	335	10	,	,	PUNCT
ejpam-5987	335	11	z	z	PROPN
ejpam-5987	335	12	,	,	PUNCT
ejpam-5987	335	13	t	t	PROPN
ejpam-5987	335	14	)	)	PUNCT
ejpam-5987	335	15	describes	describe	VERB
ejpam-5987	335	16	a	a	DET
ejpam-5987	335	17	wave	wave	NOUN
ejpam-5987	335	18	-	-	PUNCT
ejpam-5987	335	19	like	like	ADJ
ejpam-5987	335	20	phenomenon	phenomenon	NOUN
ejpam-5987	335	21	that	that	PRON
ejpam-5987	335	22	varies	vary	VERB
ejpam-5987	335	23	in	in	ADP
ejpam-5987	335	24	space	space	NOUN
ejpam-5987	335	25	and	and	CCONJ
ejpam-5987	335	26	time	time	NOUN
ejpam-5987	335	27	,	,	PUNCT
ejpam-5987	335	28	influenced	influence	VERB
ejpam-5987	335	29	by	by	ADP
ejpam-5987	335	30	factors	factor	NOUN
ejpam-5987	335	31	such	such	ADJ
ejpam-5987	335	32	as	as	ADP
ejpam-5987	335	33	external	external	ADJ
ejpam-5987	335	34	perturbations	perturbation	NOUN
ejpam-5987	335	35	,	,	PUNCT
ejpam-5987	335	36	dissipation	dissipation	NOUN
ejpam-5987	335	37	due	due	ADP
ejpam-5987	335	38	to	to	ADP
ejpam-5987	335	39	the	the	DET
ejpam-5987	335	40	parameter	parameter	NOUN
ejpam-5987	335	41	α	α	NOUN
ejpam-5987	335	42	,	,	PUNCT
ejpam-5987	335	43	and	and	CCONJ
ejpam-5987	335	44	interactions	interaction	NOUN
ejpam-5987	335	45	between	between	ADP
ejpam-5987	335	46	spatial	spatial	ADJ
ejpam-5987	335	47	components	component	NOUN
ejpam-5987	335	48	captured	capture	VERB
ejpam-5987	335	49	in	in	ADP
ejpam-5987	335	50	f1	f1	PROPN
ejpam-5987	335	51	and	and	CCONJ
ejpam-5987	335	52	f2	f2	PROPN
ejpam-5987	335	53	.	.	PUNCT
ejpam-5987	336	1	the	the	DET
ejpam-5987	336	2	oscillatory	oscillatory	ADJ
ejpam-5987	336	3	behavior	behavior	NOUN
ejpam-5987	336	4	of	of	ADP
ejpam-5987	336	5	the	the	DET
ejpam-5987	336	6	solution	solution	NOUN
ejpam-5987	336	7	may	may	AUX
ejpam-5987	336	8	model	model	VERB
ejpam-5987	336	9	various	various	ADJ
ejpam-5987	336	10	physical	physical	ADJ
ejpam-5987	336	11	systems	system	NOUN
ejpam-5987	336	12	,	,	PUNCT
ejpam-5987	336	13	such	such	ADJ
ejpam-5987	336	14	as	as	ADP
ejpam-5987	336	15	fluid	fluid	ADJ
ejpam-5987	336	16	dynamics	dynamic	NOUN
ejpam-5987	336	17	or	or	CCONJ
ejpam-5987	336	18	heat	heat	NOUN
ejpam-5987	336	19	transfer	transfer	NOUN
ejpam-5987	336	20	,	,	PUNCT
ejpam-5987	336	21	where	where	SCONJ
ejpam-5987	336	22	bounded	bound	VERB
ejpam-5987	336	23	fluctuations	fluctuation	NOUN
ejpam-5987	336	24	are	be	AUX
ejpam-5987	336	25	crucial	crucial	ADJ
ejpam-5987	336	26	for	for	ADP
ejpam-5987	336	27	stability	stability	NOUN
ejpam-5987	336	28	analysis	analysis	NOUN
ejpam-5987	336	29	.	.	PUNCT
ejpam-5987	337	1	(	(	PUNCT
ejpam-5987	337	2	e	e	NOUN
ejpam-5987	337	3	):	):	PUNCT
ejpam-5987	337	4	by	by	ADP
ejpam-5987	337	5	substituting	substitute	VERB
ejpam-5987	337	6	the	the	DET
ejpam-5987	337	7	selections	selection	NOUN
ejpam-5987	337	8	of	of	ADP
ejpam-5987	337	9	g(t	g(t	PROPN
ejpam-5987	337	10	)	)	PUNCT
ejpam-5987	337	11	=	=	SYM
ejpam-5987	337	12	sin(t	sin(t	PROPN
ejpam-5987	337	13	)	)	PUNCT
ejpam-5987	337	14	,	,	PUNCT
ejpam-5987	337	15	f1(z	f1(z	PROPN
ejpam-5987	337	16	,	,	PUNCT
ejpam-5987	337	17	t	t	PROPN
ejpam-5987	337	18	)	)	PUNCT
ejpam-5987	337	19	=	=	PUNCT
ejpam-5987	338	1	(	(	PUNCT
ejpam-5987	338	2	1	1	NUM
ejpam-5987	338	3	+	+	NUM
ejpam-5987	338	4	0.2	0.2	NUM
ejpam-5987	338	5	sin(3z	sin(3z	ADJ
ejpam-5987	338	6	+	+	CCONJ
ejpam-5987	338	7	t	t	NOUN
ejpam-5987	338	8	)	)	PUNCT
ejpam-5987	338	9	)	)	PUNCT
ejpam-5987	338	10	,	,	PUNCT
ejpam-5987	338	11	(	(	PUNCT
ejpam-5987	338	12	78a	78a	NOUN
ejpam-5987	338	13	)	)	PUNCT
ejpam-5987	338	14	f2(z	f2(z	PROPN
ejpam-5987	338	15	,	,	PUNCT
ejpam-5987	338	16	t	t	PROPN
ejpam-5987	338	17	)	)	PUNCT
ejpam-5987	338	18	=	=	SYM
ejpam-5987	338	19	e−0.1z	e−0.1z	X
ejpam-5987	338	20	sin(0.5	sin(0.5	PROPN
ejpam-5987	338	21	t	t	NOUN
ejpam-5987	338	22	)	)	PUNCT
ejpam-5987	338	23	cos(1.2z	cos(1.2z	NOUN
ejpam-5987	338	24	)	)	PUNCT
ejpam-5987	338	25	,	,	PUNCT
ejpam-5987	338	26	λ(z	λ(z	PROPN
ejpam-5987	338	27	,	,	PUNCT
ejpam-5987	338	28	t	t	PROPN
ejpam-5987	338	29	)	)	PUNCT
ejpam-5987	338	30	=	=	SYM
ejpam-5987	339	1	sin(z	sin(z	PROPN
ejpam-5987	339	2	+	+	NUM
ejpam-5987	339	3	t	t	PROPN
ejpam-5987	339	4	)	)	PUNCT
ejpam-5987	339	5	,	,	PUNCT
ejpam-5987	339	6	(	(	PUNCT
ejpam-5987	339	7	78b	78b	NOUN
ejpam-5987	339	8	)	)	PUNCT
ejpam-5987	339	9	into	into	ADP
ejpam-5987	339	10	eq.(27	eq.(27	PROPN
ejpam-5987	339	11	)	)	PUNCT
ejpam-5987	339	12	,	,	PUNCT
ejpam-5987	339	13	we	we	PRON
ejpam-5987	339	14	obtain	obtain	VERB
ejpam-5987	339	15	the	the	DET
ejpam-5987	339	16	following	follow	VERB
ejpam-5987	339	17	solution	solution	NOUN
ejpam-5987	339	18	u11(x	u11(x	NOUN
ejpam-5987	339	19	,	,	PUNCT
ejpam-5987	339	20	y	y	PROPN
ejpam-5987	339	21	,	,	PUNCT
ejpam-5987	339	22	z	z	PROPN
ejpam-5987	339	23	,	,	PUNCT
ejpam-5987	339	24	t	t	PROPN
ejpam-5987	339	25	)	)	PUNCT
ejpam-5987	339	26	=	=	SYM
ejpam-5987	340	1	y	y	PROPN
ejpam-5987	340	2	sin(t)(0.2	sin(t)(0.2	PROPN
ejpam-5987	340	3	sin(t+	sin(t+	PROPN
ejpam-5987	340	4	3z	3z	NUM
ejpam-5987	340	5	)	)	PUNCT
ejpam-5987	341	1	+	+	CCONJ
ejpam-5987	341	2	1	1	X
ejpam-5987	341	3	)	)	PUNCT
ejpam-5987	341	4	(	(	PUNCT
ejpam-5987	341	5	0.9	0.9	NUM
ejpam-5987	341	6	cos(t+	cos(t+	NOUN
ejpam-5987	341	7	3z	3z	NUM
ejpam-5987	341	8	)	)	PUNCT
ejpam-5987	341	9	α(0.2	α(0.2	NOUN
ejpam-5987	341	10	sin(t+	sin(t+	NOUN
ejpam-5987	341	11	3z	3z	NUM
ejpam-5987	341	12	)	)	PUNCT
ejpam-5987	342	1	+	+	CCONJ
ejpam-5987	342	2	1	1	X
ejpam-5987	342	3	)	)	PUNCT
ejpam-5987	342	4	−	−	NOUN
ejpam-5987	342	5	3	3	NUM
ejpam-5987	342	6	(	(	PUNCT
ejpam-5987	342	7	−1.2e−0.1z	−1.2e−0.1z	PROPN
ejpam-5987	342	8	sin(0.5	sin(0.5	PROPN
ejpam-5987	342	9	t	t	PROPN
ejpam-5987	342	10	)	)	PUNCT
ejpam-5987	342	11	sin	sin	NOUN
ejpam-5987	342	12	(	(	PUNCT
ejpam-5987	342	13	1.2z)−	1.2z)−	NUM
ejpam-5987	342	14	0.1e−0.1z	0.1e−0.1z	NUM
ejpam-5987	342	15	sin(0.5	sin(0.5	NUM
ejpam-5987	342	16	t	t	PROPN
ejpam-5987	342	17	)	)	PUNCT
ejpam-5987	342	18	cos(1.2z	cos(1.2z	NOUN
ejpam-5987	342	19	)	)	PUNCT
ejpam-5987	342	20	)	)	PUNCT
ejpam-5987	343	1	2α	2α	NOUN
ejpam-5987	343	2	)	)	PUNCT
ejpam-5987	343	3	×	×	PROPN
ejpam-5987	343	4	e−αx−e−0.1z	e−αx−e−0.1z	PROPN
ejpam-5987	343	5	sin(0.5	sin(0.5	PROPN
ejpam-5987	343	6	t	t	PROPN
ejpam-5987	343	7	)	)	PUNCT
ejpam-5987	343	8	cos(1.2z	cos(1.2z	NOUN
ejpam-5987	343	9	)	)	PUNCT
ejpam-5987	344	1	+	+	CCONJ
ejpam-5987	344	2	sin(t+	sin(t+	PROPN
ejpam-5987	344	3	z	z	PROPN
ejpam-5987	344	4	)	)	PUNCT
ejpam-5987	344	5	.	.	PUNCT
ejpam-5987	345	1	(	(	PUNCT
ejpam-5987	345	2	79	79	NUM
ejpam-5987	345	3	)	)	PUNCT
ejpam-5987	345	4	this	this	DET
ejpam-5987	345	5	solution	solution	NOUN
ejpam-5987	345	6	represents	represent	VERB
ejpam-5987	345	7	a	a	DET
ejpam-5987	345	8	dynamic	dynamic	ADJ
ejpam-5987	345	9	field	field	NOUN
ejpam-5987	345	10	that	that	PRON
ejpam-5987	345	11	varies	vary	VERB
ejpam-5987	345	12	in	in	ADP
ejpam-5987	345	13	space	space	NOUN
ejpam-5987	345	14	and	and	CCONJ
ejpam-5987	345	15	time	time	NOUN
ejpam-5987	345	16	,	,	PUNCT
ejpam-5987	345	17	influenced	influence	VERB
ejpam-5987	345	18	by	by	ADP
ejpam-5987	345	19	the	the	DET
ejpam-5987	345	20	oscillatory	oscillatory	ADJ
ejpam-5987	345	21	characteristics	characteristic	NOUN
ejpam-5987	345	22	of	of	ADP
ejpam-5987	345	23	its	its	PRON
ejpam-5987	345	24	components	component	NOUN
ejpam-5987	345	25	.	.	PUNCT
ejpam-5987	346	1	the	the	DET
ejpam-5987	346	2	dependence	dependence	NOUN
ejpam-5987	346	3	on	on	ADP
ejpam-5987	346	4	spatial	spatial	ADJ
ejpam-5987	346	5	variables	variable	NOUN
ejpam-5987	346	6	x	x	NOUN
ejpam-5987	346	7	,	,	PUNCT
ejpam-5987	346	8	y	y	PROPN
ejpam-5987	346	9	,	,	PUNCT
ejpam-5987	346	10	and	and	CCONJ
ejpam-5987	346	11	z	z	NOUN
ejpam-5987	346	12	indicates	indicate	VERB
ejpam-5987	346	13	that	that	SCONJ
ejpam-5987	346	14	it	it	PRON
ejpam-5987	346	15	models	model	VERB
ejpam-5987	346	16	a	a	DET
ejpam-5987	346	17	scenario	scenario	NOUN
ejpam-5987	346	18	with	with	ADP
ejpam-5987	346	19	wave	wave	NOUN
ejpam-5987	346	20	-	-	PUNCT
ejpam-5987	346	21	like	like	ADJ
ejpam-5987	346	22	behavior	behavior	NOUN
ejpam-5987	346	23	influenced	influence	VERB
ejpam-5987	346	24	by	by	ADP
ejpam-5987	346	25	time	time	NOUN
ejpam-5987	346	26	-	-	PUNCT
ejpam-5987	346	27	varying	vary	VERB
ejpam-5987	346	28	parameters	parameter	NOUN
ejpam-5987	346	29	.	.	PUNCT
ejpam-5987	347	1	the	the	DET
ejpam-5987	347	2	inclusion	inclusion	NOUN
ejpam-5987	347	3	of	of	ADP
ejpam-5987	347	4	smooth	smooth	ADJ
ejpam-5987	347	5	,	,	PUNCT
ejpam-5987	347	6	non	non	ADJ
ejpam-5987	347	7	-	-	ADJ
ejpam-5987	347	8	singular	singular	ADJ
ejpam-5987	347	9	functions	function	NOUN
ejpam-5987	347	10	facilitates	facilitate	VERB
ejpam-5987	347	11	a	a	DET
ejpam-5987	347	12	bounded	bounded	ADJ
ejpam-5987	347	13	and	and	CCONJ
ejpam-5987	347	14	smooth	smooth	ADJ
ejpam-5987	347	15	spatial	spatial	ADJ
ejpam-5987	347	16	distribution	distribution	NOUN
ejpam-5987	347	17	,	,	PUNCT
ejpam-5987	347	18	keeping	keep	VERB
ejpam-5987	347	19	values	value	NOUN
ejpam-5987	347	20	within	within	ADP
ejpam-5987	347	21	a	a	DET
ejpam-5987	347	22	controlled	control	VERB
ejpam-5987	347	23	range	range	NOUN
ejpam-5987	347	24	,	,	PUNCT
ejpam-5987	347	25	indicating	indicate	VERB
ejpam-5987	347	26	some	some	DET
ejpam-5987	347	27	form	form	NOUN
ejpam-5987	347	28	of	of	ADP
ejpam-5987	347	29	constraint	constraint	NOUN
ejpam-5987	347	30	or	or	CCONJ
ejpam-5987	347	31	equilibrium	equilibrium	NOUN
ejpam-5987	347	32	in	in	ADP
ejpam-5987	347	33	the	the	DET
ejpam-5987	347	34	physical	physical	ADJ
ejpam-5987	347	35	context	context	NOUN
ejpam-5987	347	36	.	.	PUNCT
ejpam-5987	348	1	(	(	PUNCT
ejpam-5987	348	2	f	f	X
ejpam-5987	348	3	):	):	PUNCT
ejpam-5987	348	4	by	by	ADP
ejpam-5987	348	5	considering	consider	VERB
ejpam-5987	348	6	g(t	g(t	PROPN
ejpam-5987	348	7	)	)	PUNCT
ejpam-5987	348	8	=	=	NOUN
ejpam-5987	348	9	esin(t)+0.5	esin(t)+0.5	NOUN
ejpam-5987	348	10	cos(2	cos(2	NOUN
ejpam-5987	348	11	t	t	PROPN
ejpam-5987	348	12	)	)	PUNCT
ejpam-5987	348	13	,	,	PUNCT
ejpam-5987	348	14	f1(z	f1(z	PROPN
ejpam-5987	348	15	,	,	PUNCT
ejpam-5987	348	16	t	t	PROPN
ejpam-5987	348	17	)	)	PUNCT
ejpam-5987	348	18	=	=	SYM
ejpam-5987	348	19	sin(z	sin(z	PROPN
ejpam-5987	348	20	)	)	PUNCT
ejpam-5987	348	21	+	+	NUM
ejpam-5987	348	22	0.5	0.5	NUM
ejpam-5987	348	23	cos(z	cos(z	PROPN
ejpam-5987	348	24	+	+	PROPN
ejpam-5987	348	25	t	t	PROPN
ejpam-5987	348	26	)	)	PUNCT
ejpam-5987	348	27	+	+	NUM
ejpam-5987	348	28	1	1	NUM
ejpam-5987	348	29	,	,	PUNCT
ejpam-5987	348	30	(	(	PUNCT
ejpam-5987	348	31	80a	80a	NOUN
ejpam-5987	348	32	)	)	PUNCT
ejpam-5987	348	33	f2(z	f2(z	PROPN
ejpam-5987	348	34	,	,	PUNCT
ejpam-5987	348	35	t	t	PROPN
ejpam-5987	348	36	)	)	PUNCT
ejpam-5987	348	37	=	=	SYM
ejpam-5987	348	38	cos(z	cos(z	PROPN
ejpam-5987	348	39	)	)	PUNCT
ejpam-5987	348	40	sin(t	sin(t	NOUN
ejpam-5987	348	41	)	)	PUNCT
ejpam-5987	348	42	,	,	PUNCT
ejpam-5987	348	43	λ(z	λ(z	PROPN
ejpam-5987	348	44	,	,	PUNCT
ejpam-5987	348	45	t	t	PROPN
ejpam-5987	348	46	)	)	PUNCT
ejpam-5987	348	47	=	=	SYM
ejpam-5987	348	48	2	2	NUM
ejpam-5987	348	49	sin(z	sin(z	PROPN
ejpam-5987	348	50	)	)	PUNCT
ejpam-5987	348	51	cos(t	cos(t	PROPN
ejpam-5987	348	52	)	)	PUNCT
ejpam-5987	348	53	,	,	PUNCT
ejpam-5987	348	54	(	(	PUNCT
ejpam-5987	348	55	80b	80b	NOUN
ejpam-5987	348	56	)	)	PUNCT
ejpam-5987	348	57	s.	s.	PROPN
ejpam-5987	348	58	a.	a.	PROPN
ejpam-5987	348	59	m.	m.	PROPN
ejpam-5987	348	60	alsallami	alsallami	PROPN
ejpam-5987	348	61	,	,	PUNCT
ejpam-5987	348	62	m.	m.	NOUN
ejpam-5987	348	63	alkinidri	alkinidri	PROPN
ejpam-5987	348	64	/	/	SYM
ejpam-5987	348	65	eur	eur	PROPN
ejpam-5987	348	66	.	.	PUNCT
ejpam-5987	349	1	j.	j.	PROPN
ejpam-5987	349	2	pure	pure	PROPN
ejpam-5987	349	3	appl	appl	PROPN
ejpam-5987	349	4	.	.	PROPN
ejpam-5987	349	5	math	math	PROPN
ejpam-5987	349	6	,	,	PUNCT
ejpam-5987	349	7	18	18	NUM
ejpam-5987	349	8	(	(	PUNCT
ejpam-5987	349	9	2	2	NUM
ejpam-5987	349	10	)	)	PUNCT
ejpam-5987	349	11	(	(	PUNCT
ejpam-5987	349	12	2025	2025	NUM
ejpam-5987	349	13	)	)	PUNCT
ejpam-5987	349	14	,	,	PUNCT
ejpam-5987	349	15	5987	5987	NUM
ejpam-5987	349	16	17	17	NUM
ejpam-5987	349	17	of	of	ADP
ejpam-5987	349	18	22	22	NUM
ejpam-5987	349	19	figure	figure	NOUN
ejpam-5987	349	20	7	7	NUM
ejpam-5987	349	21	:	:	PUNCT
ejpam-5987	349	22	3d	3d	NUM
ejpam-5987	349	23	plots	plot	NOUN
ejpam-5987	349	24	of	of	ADP
ejpam-5987	349	25	u7(1	u7(1	PROPN
ejpam-5987	349	26	,	,	PUNCT
ejpam-5987	349	27	1	1	NUM
ejpam-5987	349	28	,	,	PUNCT
ejpam-5987	349	29	z	z	NOUN
ejpam-5987	349	30	,	,	PUNCT
ejpam-5987	349	31	t)−	t)−	PROPN
ejpam-5987	349	32	u12(1	u12(1	NOUN
ejpam-5987	349	33	,	,	PUNCT
ejpam-5987	349	34	1	1	NUM
ejpam-5987	349	35	,	,	PUNCT
ejpam-5987	349	36	z	z	PROPN
ejpam-5987	349	37	,	,	PUNCT
ejpam-5987	349	38	t	t	PROPN
ejpam-5987	349	39	)	)	PUNCT
ejpam-5987	349	40	with	with	ADP
ejpam-5987	349	41	α	α	NOUN
ejpam-5987	349	42	=	=	SYM
ejpam-5987	349	43	1	1	NUM
ejpam-5987	349	44	.	.	PUNCT
ejpam-5987	350	1	in	in	ADP
ejpam-5987	350	2	eq.(27	eq.(27	PROPN
ejpam-5987	350	3	)	)	PUNCT
ejpam-5987	350	4	,	,	PUNCT
ejpam-5987	350	5	we	we	PRON
ejpam-5987	350	6	have	have	VERB
ejpam-5987	350	7	u12(x	u12(x	PROPN
ejpam-5987	350	8	,	,	PUNCT
ejpam-5987	350	9	y	y	PROPN
ejpam-5987	350	10	,	,	PUNCT
ejpam-5987	350	11	z	z	PROPN
ejpam-5987	350	12	,	,	PUNCT
ejpam-5987	350	13	t	t	PROPN
ejpam-5987	350	14	)	)	PUNCT
ejpam-5987	350	15	=	=	SYM
ejpam-5987	350	16	y(0.5	y(0.5	PROPN
ejpam-5987	350	17	cos(t+	cos(t+	PROPN
ejpam-5987	350	18	z	z	NOUN
ejpam-5987	350	19	)	)	PUNCT
ejpam-5987	351	1	+	+	CCONJ
ejpam-5987	351	2	sin(z	sin(z	X
ejpam-5987	351	3	)	)	PUNCT
ejpam-5987	351	4	+	+	NUM
ejpam-5987	351	5	1	1	X
ejpam-5987	351	6	)	)	PUNCT
ejpam-5987	351	7	(	(	PUNCT
ejpam-5987	351	8	3	3	NUM
ejpam-5987	351	9	sin(t	sin(t	NOUN
ejpam-5987	351	10	)	)	PUNCT
ejpam-5987	351	11	sin(z	sin(z	PROPN
ejpam-5987	351	12	)	)	PUNCT
ejpam-5987	351	13	2α	2α	NOUN
ejpam-5987	351	14	+	+	CCONJ
ejpam-5987	351	15	3(cos(z)−	3(cos(z)−	NUM
ejpam-5987	351	16	0.5	0.5	NUM
ejpam-5987	351	17	sin(t+	sin(t+	PROPN
ejpam-5987	351	18	z	z	PROPN
ejpam-5987	351	19	)	)	PUNCT
ejpam-5987	351	20	)	)	PUNCT
ejpam-5987	351	21	2α(0.5	2α(0.5	NUM
ejpam-5987	352	1	cos(t+	cos(t+	NOUN
ejpam-5987	352	2	z	z	NOUN
ejpam-5987	352	3	)	)	PUNCT
ejpam-5987	353	1	+	+	CCONJ
ejpam-5987	353	2	sin(z	sin(z	X
ejpam-5987	353	3	)	)	PUNCT
ejpam-5987	353	4	+	+	NUM
ejpam-5987	353	5	1	1	NUM
ejpam-5987	353	6	)	)	PUNCT
ejpam-5987	353	7	)	)	PUNCT
ejpam-5987	354	1	e−αx−sin(t	e−αx−sin(t	NOUN
ejpam-5987	354	2	)	)	PUNCT
ejpam-5987	355	1	cos(z)+sin(t)+0.5	cos(z)+sin(t)+0.5	NOUN
ejpam-5987	355	2	cos(2	cos(2	NOUN
ejpam-5987	355	3	t	t	PROPN
ejpam-5987	355	4	)	)	PUNCT
ejpam-5987	355	5	+	+	CCONJ
ejpam-5987	355	6	2	2	NUM
ejpam-5987	355	7	cos(t	cos(t	NUM
ejpam-5987	355	8	)	)	PUNCT
ejpam-5987	355	9	sin(z	sin(z	PROPN
ejpam-5987	355	10	)	)	PUNCT
ejpam-5987	355	11	.	.	PUNCT
ejpam-5987	356	1	(	(	PUNCT
ejpam-5987	356	2	81	81	NUM
ejpam-5987	356	3	)	)	PUNCT
ejpam-5987	356	4	the	the	DET
ejpam-5987	356	5	solution	solution	NOUN
ejpam-5987	356	6	u12(x	u12(x	PROPN
ejpam-5987	356	7	,	,	PUNCT
ejpam-5987	356	8	y	y	PROPN
ejpam-5987	356	9	,	,	PUNCT
ejpam-5987	356	10	z	z	PROPN
ejpam-5987	356	11	,	,	PUNCT
ejpam-5987	356	12	t	t	PROPN
ejpam-5987	356	13	)	)	PUNCT
ejpam-5987	356	14	models	model	NOUN
ejpam-5987	356	15	the	the	DET
ejpam-5987	356	16	dynamic	dynamic	ADJ
ejpam-5987	356	17	system	system	NOUN
ejpam-5987	356	18	influenced	influence	VERB
ejpam-5987	356	19	by	by	ADP
ejpam-5987	356	20	spatial	spatial	ADJ
ejpam-5987	356	21	,	,	PUNCT
ejpam-5987	356	22	temporal	temporal	ADJ
ejpam-5987	356	23	,	,	PUNCT
ejpam-5987	356	24	and	and	CCONJ
ejpam-5987	356	25	oscillatory	oscillatory	ADJ
ejpam-5987	356	26	factors	factor	NOUN
ejpam-5987	356	27	.	.	PUNCT
ejpam-5987	357	1	the	the	DET
ejpam-5987	357	2	interplay	interplay	NOUN
ejpam-5987	357	3	between	between	ADP
ejpam-5987	357	4	the	the	DET
ejpam-5987	357	5	various	various	ADJ
ejpam-5987	357	6	components	component	NOUN
ejpam-5987	357	7	represents	represent	VERB
ejpam-5987	357	8	a	a	DET
ejpam-5987	357	9	wavelike	wavelike	NOUN
ejpam-5987	357	10	phenomenon	phenomenon	NOUN
ejpam-5987	357	11	in	in	ADP
ejpam-5987	357	12	three	three	NUM
ejpam-5987	357	13	dimensions	dimension	NOUN
ejpam-5987	357	14	,	,	PUNCT
ejpam-5987	357	15	where	where	SCONJ
ejpam-5987	357	16	f1	f1	NOUN
ejpam-5987	357	17	and	and	CCONJ
ejpam-5987	357	18	f2	f2	PROPN
ejpam-5987	357	19	contribute	contribute	VERB
ejpam-5987	357	20	spatial	spatial	ADJ
ejpam-5987	357	21	complexity	complexity	NOUN
ejpam-5987	357	22	while	while	SCONJ
ejpam-5987	357	23	g	g	PROPN
ejpam-5987	357	24	and	and	CCONJ
ejpam-5987	357	25	λ	λ	PROPN
ejpam-5987	357	26	introduce	introduce	VERB
ejpam-5987	357	27	time	time	NOUN
ejpam-5987	357	28	-	-	PUNCT
ejpam-5987	357	29	dependent	dependent	ADJ
ejpam-5987	357	30	modulation	modulation	NOUN
ejpam-5987	357	31	.	.	PUNCT
ejpam-5987	358	1	the	the	DET
ejpam-5987	358	2	resulting	result	VERB
ejpam-5987	358	3	solution	solution	NOUN
ejpam-5987	358	4	encapsulates	encapsulate	VERB
ejpam-5987	358	5	the	the	DET
ejpam-5987	358	6	behavior	behavior	NOUN
ejpam-5987	358	7	of	of	ADP
ejpam-5987	358	8	a	a	DET
ejpam-5987	358	9	waveform	waveform	NOUN
ejpam-5987	358	10	that	that	PRON
ejpam-5987	358	11	evolves	evolve	VERB
ejpam-5987	358	12	in	in	ADP
ejpam-5987	358	13	time	time	NOUN
ejpam-5987	358	14	and	and	CCONJ
ejpam-5987	358	15	space	space	NOUN
ejpam-5987	358	16	,	,	PUNCT
ejpam-5987	358	17	bounded	bound	VERB
ejpam-5987	358	18	within	within	ADP
ejpam-5987	358	19	specified	specify	VERB
ejpam-5987	358	20	limits	limit	NOUN
ejpam-5987	358	21	.	.	PUNCT
ejpam-5987	359	1	in	in	ADP
ejpam-5987	359	2	fig.7	fig.7	ADJ
ejpam-5987	359	3	,	,	PUNCT
ejpam-5987	359	4	we	we	PRON
ejpam-5987	359	5	have	have	AUX
ejpam-5987	359	6	plotted	plot	VERB
ejpam-5987	359	7	the	the	DET
ejpam-5987	359	8	3d	3d	NUM
ejpam-5987	359	9	dynamics	dynamic	NOUN
ejpam-5987	359	10	of	of	ADP
ejpam-5987	359	11	solutions	solution	NOUN
ejpam-5987	359	12	u7(1	u7(1	PROPN
ejpam-5987	359	13	,	,	PUNCT
ejpam-5987	359	14	1	1	NUM
ejpam-5987	359	15	,	,	PUNCT
ejpam-5987	359	16	z	z	PROPN
ejpam-5987	359	17	,	,	PUNCT
ejpam-5987	359	18	t	t	PROPN
ejpam-5987	359	19	)	)	PUNCT
ejpam-5987	359	20	−	−	PROPN
ejpam-5987	359	21	u12(1	u12(1	NOUN
ejpam-5987	359	22	,	,	PUNCT
ejpam-5987	359	23	1	1	NUM
ejpam-5987	359	24	,	,	PUNCT
ejpam-5987	359	25	z	z	PROPN
ejpam-5987	359	26	,	,	PUNCT
ejpam-5987	359	27	t	t	PROPN
ejpam-5987	359	28	)	)	PUNCT
ejpam-5987	359	29	along	along	ADP
ejpam-5987	359	30	with	with	ADP
ejpam-5987	359	31	taking	take	VERB
ejpam-5987	359	32	α	α	NOUN
ejpam-5987	359	33	=	=	SYM
ejpam-5987	359	34	1	1	NUM
ejpam-5987	359	35	.	.	PUNCT
ejpam-5987	360	1	■	■	PUNCT
ejpam-5987	360	2	moreover	moreover	ADV
ejpam-5987	360	3	,	,	PUNCT
ejpam-5987	360	4	some	some	DET
ejpam-5987	360	5	solutions	solution	NOUN
ejpam-5987	360	6	derived	derive	VERB
ejpam-5987	360	7	from	from	ADP
ejpam-5987	360	8	the	the	DET
ejpam-5987	360	9	solution	solution	NOUN
ejpam-5987	360	10	(	(	PUNCT
ejpam-5987	360	11	37	37	NUM
ejpam-5987	360	12	)	)	PUNCT
ejpam-5987	360	13	are	be	AUX
ejpam-5987	360	14	plotted	plot	VERB
ejpam-5987	360	15	in	in	ADP
ejpam-5987	360	16	fig.8	fig.8	PROPN
ejpam-5987	360	17	.	.	PUNCT
ejpam-5987	361	1	in	in	ADP
ejpam-5987	361	2	this	this	DET
ejpam-5987	361	3	figure	figure	NOUN
ejpam-5987	361	4	,	,	PUNCT
ejpam-5987	361	5	we	we	PRON
ejpam-5987	361	6	have	have	AUX
ejpam-5987	361	7	taken	take	VERB
ejpam-5987	361	8	α	α	NOUN
ejpam-5987	361	9	=	=	SYM
ejpam-5987	361	10	ε0	ε0	NOUN
ejpam-5987	361	11	=	=	SYM
ejpam-5987	361	12	1	1	NUM
ejpam-5987	361	13	,	,	PUNCT
ejpam-5987	361	14	corresponding	correspond	VERB
ejpam-5987	361	15	to	to	ADP
ejpam-5987	361	16	:	:	PUNCT
ejpam-5987	361	17	(	(	PUNCT
ejpam-5987	361	18	a	a	X
ejpam-5987	361	19	)	)	PUNCT
ejpam-5987	361	20	f1(z	f1(z	PROPN
ejpam-5987	361	21	,	,	PUNCT
ejpam-5987	361	22	t	t	NOUN
ejpam-5987	361	23	)	)	PUNCT
ejpam-5987	361	24	=	=	SYM
ejpam-5987	362	1	sin(z	sin(z	PROPN
ejpam-5987	362	2	+	+	NUM
ejpam-5987	362	3	t	t	PROPN
ejpam-5987	362	4	)	)	PUNCT
ejpam-5987	362	5	,	,	PUNCT
ejpam-5987	362	6	f2(y	f2(y	PROPN
ejpam-5987	362	7	,	,	PUNCT
ejpam-5987	362	8	z	z	NOUN
ejpam-5987	362	9	)	)	PUNCT
ejpam-5987	362	10	=	=	SYM
ejpam-5987	362	11	cos(y	cos(y	PROPN
ejpam-5987	362	12	+	+	CCONJ
ejpam-5987	362	13	z),λ(z	z),λ(z	NOUN
ejpam-5987	362	14	,	,	PUNCT
ejpam-5987	362	15	t	t	PROPN
ejpam-5987	362	16	)	)	PUNCT
ejpam-5987	362	17	=	=	PUNCT
ejpam-5987	363	1	(	(	PUNCT
ejpam-5987	363	2	1	1	NUM
ejpam-5987	363	3	+	+	NUM
ejpam-5987	363	4	ez	ez	PROPN
ejpam-5987	363	5	2+t2)−1	2+t2)−1	PROPN
ejpam-5987	363	6	,	,	PUNCT
ejpam-5987	363	7	(	(	PUNCT
ejpam-5987	363	8	b	b	X
ejpam-5987	363	9	)	)	PUNCT
ejpam-5987	363	10	f1(z	f1(z	PROPN
ejpam-5987	363	11	,	,	PUNCT
ejpam-5987	363	12	t	t	PROPN
ejpam-5987	363	13	)	)	PUNCT
ejpam-5987	363	14	=	=	SYM
ejpam-5987	363	15	tanh(zt	tanh(zt	NOUN
ejpam-5987	363	16	)	)	PUNCT
ejpam-5987	363	17	,	,	PUNCT
ejpam-5987	363	18	f2(y	f2(y	PROPN
ejpam-5987	363	19	,	,	PUNCT
ejpam-5987	363	20	z	z	NOUN
ejpam-5987	363	21	)	)	PUNCT
ejpam-5987	363	22	=	=	SYM
ejpam-5987	364	1	sin(z	sin(z	PROPN
ejpam-5987	364	2	+	+	NUM
ejpam-5987	364	3	y),λ(z	y),λ(z	PROPN
ejpam-5987	364	4	,	,	PUNCT
ejpam-5987	364	5	t	t	PROPN
ejpam-5987	364	6	)	)	PUNCT
ejpam-5987	364	7	=	=	PUNCT
ejpam-5987	365	1	(	(	PUNCT
ejpam-5987	365	2	1	1	NUM
ejpam-5987	365	3	+	+	NUM
ejpam-5987	365	4	ez	ez	PROPN
ejpam-5987	365	5	2+t2)−1	2+t2)−1	PROPN
ejpam-5987	365	6	,	,	PUNCT
ejpam-5987	365	7	(	(	PUNCT
ejpam-5987	365	8	c	c	X
ejpam-5987	365	9	)	)	PUNCT
ejpam-5987	365	10	f1(z	f1(z	PROPN
ejpam-5987	365	11	,	,	PUNCT
ejpam-5987	365	12	t	t	PROPN
ejpam-5987	365	13	)	)	PUNCT
ejpam-5987	365	14	=	=	SYM
ejpam-5987	365	15	cos(zt	cos(zt	NOUN
ejpam-5987	365	16	)	)	PUNCT
ejpam-5987	365	17	,	,	PUNCT
ejpam-5987	365	18	f2(y	f2(y	PROPN
ejpam-5987	365	19	,	,	PUNCT
ejpam-5987	365	20	z	z	NOUN
ejpam-5987	365	21	)	)	PUNCT
ejpam-5987	365	22	=	=	SYM
ejpam-5987	366	1	cos(z	cos(z	X
ejpam-5987	366	2	+	+	NUM
ejpam-5987	366	3	y),λ(z	y),λ(z	PROPN
ejpam-5987	366	4	,	,	PUNCT
ejpam-5987	366	5	t	t	PROPN
ejpam-5987	366	6	)	)	PUNCT
ejpam-5987	366	7	=	=	SYM
ejpam-5987	366	8	tanh(z2	tanh(z2	NOUN
ejpam-5987	366	9	+	+	NUM
ejpam-5987	366	10	t2	t2	NOUN
ejpam-5987	366	11	)	)	PUNCT
ejpam-5987	366	12	.	.	PUNCT
ejpam-5987	367	1	s.	s.	PROPN
ejpam-5987	367	2	a.	a.	PROPN
ejpam-5987	367	3	m.	m.	PROPN
ejpam-5987	367	4	alsallami	alsallami	PROPN
ejpam-5987	367	5	,	,	PUNCT
ejpam-5987	367	6	m.	m.	NOUN
ejpam-5987	367	7	alkinidri	alkinidri	PROPN
ejpam-5987	367	8	/	/	SYM
ejpam-5987	367	9	eur	eur	PROPN
ejpam-5987	367	10	.	.	PUNCT
ejpam-5987	368	1	j.	j.	PROPN
ejpam-5987	368	2	pure	pure	PROPN
ejpam-5987	368	3	appl	appl	PROPN
ejpam-5987	368	4	.	.	PROPN
ejpam-5987	368	5	math	math	PROPN
ejpam-5987	368	6	,	,	PUNCT
ejpam-5987	368	7	18	18	NUM
ejpam-5987	368	8	(	(	PUNCT
ejpam-5987	368	9	2	2	NUM
ejpam-5987	368	10	)	)	PUNCT
ejpam-5987	368	11	(	(	PUNCT
ejpam-5987	368	12	2025	2025	NUM
ejpam-5987	368	13	)	)	PUNCT
ejpam-5987	368	14	,	,	PUNCT
ejpam-5987	368	15	5987	5987	NUM
ejpam-5987	368	16	18	18	NUM
ejpam-5987	368	17	of	of	ADP
ejpam-5987	368	18	22	22	NUM
ejpam-5987	368	19	figure	figure	NOUN
ejpam-5987	368	20	8	8	NUM
ejpam-5987	368	21	:	:	PUNCT
ejpam-5987	368	22	3d	3d	NUM
ejpam-5987	368	23	plot	plot	NOUN
ejpam-5987	368	24	of	of	ADP
ejpam-5987	368	25	proposed	propose	VERB
ejpam-5987	368	26	in	in	ADP
ejpam-5987	368	27	eq.(37	eq.(37	PROPN
ejpam-5987	368	28	)	)	PUNCT
ejpam-5987	368	29	with	with	ADP
ejpam-5987	368	30	α	α	NOUN
ejpam-5987	368	31	=	=	SYM
ejpam-5987	368	32	ε0	ε0	NOUN
ejpam-5987	368	33	=	=	NOUN
ejpam-5987	368	34	1	1	NUM
ejpam-5987	368	35	along	along	ADP
ejpam-5987	368	36	with	with	ADP
ejpam-5987	368	37	κ	κ	NOUN
ejpam-5987	368	38	=	=	SYM
ejpam-5987	368	39	0.5	0.5	NUM
ejpam-5987	368	40	,	,	PUNCT
ejpam-5987	368	41	corresponding	correspond	VERB
ejpam-5987	368	42	to	to	ADP
ejpam-5987	368	43	:	:	PUNCT
ejpam-5987	368	44	(	(	PUNCT
ejpam-5987	368	45	a	a	X
ejpam-5987	368	46	)	)	PUNCT
ejpam-5987	368	47	f1(z	f1(z	PROPN
ejpam-5987	368	48	,	,	PUNCT
ejpam-5987	368	49	t	t	NOUN
ejpam-5987	368	50	)	)	PUNCT
ejpam-5987	368	51	=	=	SYM
ejpam-5987	369	1	sin(z	sin(z	PROPN
ejpam-5987	369	2	+	+	NUM
ejpam-5987	369	3	t	t	PROPN
ejpam-5987	369	4	)	)	PUNCT
ejpam-5987	369	5	,	,	PUNCT
ejpam-5987	369	6	f2(y	f2(y	PROPN
ejpam-5987	369	7	,	,	PUNCT
ejpam-5987	369	8	z	z	NOUN
ejpam-5987	369	9	)	)	PUNCT
ejpam-5987	369	10	=	=	SYM
ejpam-5987	369	11	cos(y	cos(y	PROPN
ejpam-5987	369	12	+	+	CCONJ
ejpam-5987	369	13	z),λ(z	z),λ(z	NOUN
ejpam-5987	369	14	,	,	PUNCT
ejpam-5987	369	15	t	t	PROPN
ejpam-5987	369	16	)	)	PUNCT
ejpam-5987	369	17	=	=	SYM
ejpam-5987	370	1	1	1	NUM
ejpam-5987	370	2	1+ez	1+ez	NUM
ejpam-5987	370	3	2+t2	2+t2	NUM
ejpam-5987	370	4	,	,	PUNCT
ejpam-5987	370	5	(	(	PUNCT
ejpam-5987	370	6	b	b	X
ejpam-5987	370	7	)	)	PUNCT
ejpam-5987	370	8	f1(z	f1(z	PROPN
ejpam-5987	370	9	,	,	PUNCT
ejpam-5987	370	10	t	t	PROPN
ejpam-5987	370	11	)	)	PUNCT
ejpam-5987	370	12	=	=	SYM
ejpam-5987	370	13	tanh(zt	tanh(zt	NOUN
ejpam-5987	370	14	)	)	PUNCT
ejpam-5987	370	15	,	,	PUNCT
ejpam-5987	370	16	f2(y	f2(y	PROPN
ejpam-5987	370	17	,	,	PUNCT
ejpam-5987	370	18	z	z	NOUN
ejpam-5987	370	19	)	)	PUNCT
ejpam-5987	370	20	=	=	SYM
ejpam-5987	371	1	sin(z	sin(z	PROPN
ejpam-5987	371	2	+	+	NUM
ejpam-5987	371	3	y),λ(z	y),λ(z	PROPN
ejpam-5987	371	4	,	,	PUNCT
ejpam-5987	371	5	t	t	PROPN
ejpam-5987	371	6	)	)	PUNCT
ejpam-5987	371	7	=	=	SYM
ejpam-5987	372	1	1	1	NUM
ejpam-5987	372	2	1+ez	1+ez	NUM
ejpam-5987	372	3	2+t2	2+t2	NUM
ejpam-5987	372	4	,	,	PUNCT
ejpam-5987	372	5	(	(	PUNCT
ejpam-5987	372	6	c	c	X
ejpam-5987	372	7	)	)	PUNCT
ejpam-5987	372	8	f1(z	f1(z	PROPN
ejpam-5987	372	9	,	,	PUNCT
ejpam-5987	372	10	t	t	PROPN
ejpam-5987	372	11	)	)	PUNCT
ejpam-5987	372	12	=	=	SYM
ejpam-5987	372	13	cos(zt	cos(zt	NOUN
ejpam-5987	372	14	)	)	PUNCT
ejpam-5987	372	15	,	,	PUNCT
ejpam-5987	372	16	f2(y	f2(y	PROPN
ejpam-5987	372	17	,	,	PUNCT
ejpam-5987	372	18	z	z	NOUN
ejpam-5987	372	19	)	)	PUNCT
ejpam-5987	373	1	=	=	SYM
ejpam-5987	373	2	cos(z	cos(z	X
ejpam-5987	373	3	+	+	NUM
ejpam-5987	373	4	y),λ(z	y),λ(z	PROPN
ejpam-5987	373	5	,	,	PUNCT
ejpam-5987	373	6	t	t	PROPN
ejpam-5987	373	7	)	)	PUNCT
ejpam-5987	373	8	=	=	SYM
ejpam-5987	373	9	tanh(z2	tanh(z2	NOUN
ejpam-5987	373	10	+	+	NUM
ejpam-5987	373	11	t2	t2	NOUN
ejpam-5987	373	12	)	)	PUNCT
ejpam-5987	373	13	.	.	PUNCT
ejpam-5987	374	1	5	5	X
ejpam-5987	374	2	.	.	X
ejpam-5987	374	3	conclusion	conclusion	NOUN
ejpam-5987	374	4	this	this	DET
ejpam-5987	374	5	paper	paper	NOUN
ejpam-5987	374	6	successfully	successfully	ADV
ejpam-5987	374	7	presents	present	VERB
ejpam-5987	374	8	a	a	DET
ejpam-5987	374	9	novel	novel	ADJ
ejpam-5987	374	10	approach	approach	NOUN
ejpam-5987	374	11	for	for	ADP
ejpam-5987	374	12	deriving	derive	VERB
ejpam-5987	374	13	a	a	DET
ejpam-5987	374	14	variety	variety	NOUN
ejpam-5987	374	15	of	of	ADP
ejpam-5987	374	16	explicit	explicit	ADJ
ejpam-5987	374	17	non	non	ADJ
ejpam-5987	374	18	-	-	ADJ
ejpam-5987	374	19	traveling	traveling	ADJ
ejpam-5987	374	20	wave	wave	NOUN
ejpam-5987	374	21	solutions	solution	NOUN
ejpam-5987	374	22	to	to	ADP
ejpam-5987	374	23	the	the	DET
ejpam-5987	374	24	(	(	PUNCT
ejpam-5987	374	25	3	3	NUM
ejpam-5987	374	26	+	+	NOUN
ejpam-5987	374	27	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	374	28	nonlinear	nonlinear	ADJ
ejpam-5987	374	29	evolution	evolution	NOUN
ejpam-5987	374	30	equation	equation	NOUN
ejpam-5987	374	31	using	use	VERB
ejpam-5987	374	32	a	a	DET
ejpam-5987	374	33	modified	modify	VERB
ejpam-5987	374	34	generalized	generalized	ADJ
ejpam-5987	374	35	variable	variable	ADJ
ejpam-5987	374	36	separation	separation	NOUN
ejpam-5987	374	37	technique	technique	NOUN
ejpam-5987	374	38	.	.	PUNCT
ejpam-5987	375	1	the	the	DET
ejpam-5987	375	2	solutions	solution	NOUN
ejpam-5987	375	3	obtained	obtain	VERB
ejpam-5987	375	4	not	not	PART
ejpam-5987	375	5	only	only	ADV
ejpam-5987	375	6	encompass	encompass	VERB
ejpam-5987	375	7	a	a	DET
ejpam-5987	375	8	richer	rich	ADJ
ejpam-5987	375	9	diversity	diversity	NOUN
ejpam-5987	375	10	of	of	ADP
ejpam-5987	375	11	non	non	ADJ
ejpam-5987	375	12	-	-	ADJ
ejpam-5987	375	13	travelling	travelling	ADJ
ejpam-5987	375	14	forms	form	NOUN
ejpam-5987	375	15	,	,	PUNCT
ejpam-5987	375	16	including	include	VERB
ejpam-5987	375	17	periodic	periodic	ADJ
ejpam-5987	375	18	solitary	solitary	ADJ
ejpam-5987	375	19	waves	wave	NOUN
ejpam-5987	375	20	and	and	CCONJ
ejpam-5987	375	21	soliton	soliton	NOUN
ejpam-5987	375	22	-	-	PUNCT
ejpam-5987	375	23	like	like	ADJ
ejpam-5987	375	24	structures	structure	NOUN
ejpam-5987	375	25	but	but	CCONJ
ejpam-5987	375	26	also	also	ADV
ejpam-5987	375	27	demonstrate	demonstrate	VERB
ejpam-5987	375	28	the	the	DET
ejpam-5987	375	29	effectiveness	effectiveness	NOUN
ejpam-5987	375	30	of	of	ADP
ejpam-5987	375	31	the	the	DET
ejpam-5987	375	32	proposed	propose	VERB
ejpam-5987	375	33	method	method	NOUN
ejpam-5987	375	34	in	in	ADP
ejpam-5987	375	35	addressing	address	VERB
ejpam-5987	375	36	complex	complex	ADJ
ejpam-5987	375	37	nonlinear	nonlinear	ADJ
ejpam-5987	375	38	partial	partial	ADJ
ejpam-5987	375	39	differential	differential	NOUN
ejpam-5987	375	40	equations	equation	NOUN
ejpam-5987	375	41	.	.	PUNCT
ejpam-5987	376	1	each	each	DET
ejpam-5987	376	2	solution	solution	NOUN
ejpam-5987	376	3	’s	’s	PART
ejpam-5987	376	4	validity	validity	NOUN
ejpam-5987	376	5	was	be	AUX
ejpam-5987	376	6	rigorously	rigorously	ADV
ejpam-5987	376	7	confirmed	confirm	VERB
ejpam-5987	376	8	through	through	ADP
ejpam-5987	376	9	symbolic	symbolic	ADJ
ejpam-5987	376	10	computational	computational	ADJ
ejpam-5987	376	11	methods	method	NOUN
ejpam-5987	376	12	using	use	VERB
ejpam-5987	376	13	maple	maple	NOUN
ejpam-5987	376	14	,	,	PUNCT
ejpam-5987	376	15	reinforcing	reinforce	VERB
ejpam-5987	376	16	the	the	DET
ejpam-5987	376	17	reliability	reliability	NOUN
ejpam-5987	376	18	of	of	ADP
ejpam-5987	376	19	these	these	DET
ejpam-5987	376	20	findings	finding	NOUN
ejpam-5987	376	21	.	.	PUNCT
ejpam-5987	377	1	the	the	DET
ejpam-5987	377	2	proposed	propose	VERB
ejpam-5987	377	3	method	method	NOUN
ejpam-5987	377	4	offers	offer	VERB
ejpam-5987	377	5	several	several	ADJ
ejpam-5987	377	6	advantages	advantage	NOUN
ejpam-5987	377	7	,	,	PUNCT
ejpam-5987	377	8	including	include	VERB
ejpam-5987	377	9	its	its	PRON
ejpam-5987	377	10	novelty	novelty	NOUN
ejpam-5987	377	11	and	and	CCONJ
ejpam-5987	377	12	versatility	versatility	NOUN
ejpam-5987	377	13	in	in	ADP
ejpam-5987	377	14	deriving	derive	VERB
ejpam-5987	377	15	a	a	DET
ejpam-5987	377	16	wide	wide	ADJ
ejpam-5987	377	17	variety	variety	NOUN
ejpam-5987	377	18	of	of	ADP
ejpam-5987	377	19	non	non	ADJ
ejpam-5987	377	20	-	-	ADJ
ejpam-5987	377	21	traveling	traveling	ADJ
ejpam-5987	377	22	wave	wave	NOUN
ejpam-5987	377	23	solutions	solution	NOUN
ejpam-5987	377	24	,	,	PUNCT
ejpam-5987	377	25	such	such	ADJ
ejpam-5987	377	26	as	as	ADP
ejpam-5987	377	27	periodic	periodic	ADJ
ejpam-5987	377	28	solitary	solitary	ADJ
ejpam-5987	377	29	waves	wave	NOUN
ejpam-5987	377	30	and	and	CCONJ
ejpam-5987	377	31	soliton	soliton	NOUN
ejpam-5987	377	32	-	-	PUNCT
ejpam-5987	377	33	like	like	ADJ
ejpam-5987	377	34	structures	structure	NOUN
ejpam-5987	377	35	,	,	PUNCT
ejpam-5987	377	36	for	for	ADP
ejpam-5987	377	37	the	the	DET
ejpam-5987	377	38	(	(	PUNCT
ejpam-5987	377	39	3	3	NUM
ejpam-5987	377	40	+	+	NOUN
ejpam-5987	377	41	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	377	42	nonlinear	nonlinear	ADJ
ejpam-5987	377	43	evolution	evolution	NOUN
ejpam-5987	377	44	equation	equation	NOUN
ejpam-5987	377	45	.	.	PUNCT
ejpam-5987	378	1	its	its	PRON
ejpam-5987	378	2	effectiveness	effectiveness	NOUN
ejpam-5987	378	3	in	in	ADP
ejpam-5987	378	4	addressing	address	VERB
ejpam-5987	378	5	complex	complex	ADJ
ejpam-5987	378	6	nonlinear	nonlinear	ADJ
ejpam-5987	378	7	partial	partial	ADJ
ejpam-5987	378	8	differential	differential	NOUN
ejpam-5987	378	9	equations	equation	NOUN
ejpam-5987	378	10	is	be	AUX
ejpam-5987	378	11	demonstrated	demonstrate	VERB
ejpam-5987	378	12	through	through	ADP
ejpam-5987	378	13	the	the	DET
ejpam-5987	378	14	obtained	obtain	VERB
ejpam-5987	378	15	solutions	solution	NOUN
ejpam-5987	378	16	,	,	PUNCT
ejpam-5987	378	17	which	which	PRON
ejpam-5987	378	18	are	be	AUX
ejpam-5987	378	19	rigorously	rigorously	ADV
ejpam-5987	378	20	validated	validate	VERB
ejpam-5987	378	21	using	use	VERB
ejpam-5987	378	22	symbolic	symbolic	ADJ
ejpam-5987	378	23	computational	computational	ADJ
ejpam-5987	378	24	tools	tool	NOUN
ejpam-5987	378	25	like	like	ADP
ejpam-5987	378	26	maple	maple	NOUN
ejpam-5987	378	27	.	.	PUNCT
ejpam-5987	379	1	however	however	ADV
ejpam-5987	379	2	,	,	PUNCT
ejpam-5987	379	3	the	the	DET
ejpam-5987	379	4	method	method	NOUN
ejpam-5987	379	5	also	also	ADV
ejpam-5987	379	6	presents	present	VERB
ejpam-5987	379	7	certain	certain	ADJ
ejpam-5987	379	8	limitations	limitation	NOUN
ejpam-5987	379	9	.	.	PUNCT
ejpam-5987	380	1	the	the	DET
ejpam-5987	380	2	complexity	complexity	NOUN
ejpam-5987	380	3	of	of	ADP
ejpam-5987	380	4	the	the	DET
ejpam-5987	380	5	mathematical	mathematical	ADJ
ejpam-5987	380	6	transformations	transformation	NOUN
ejpam-5987	380	7	and	and	CCONJ
ejpam-5987	380	8	assumptions	assumption	NOUN
ejpam-5987	380	9	involved	involve	VERB
ejpam-5987	380	10	may	may	AUX
ejpam-5987	380	11	restrict	restrict	VERB
ejpam-5987	380	12	its	its	PRON
ejpam-5987	380	13	accessibility	accessibility	NOUN
ejpam-5987	380	14	to	to	ADP
ejpam-5987	380	15	researchers	researcher	NOUN
ejpam-5987	380	16	without	without	ADP
ejpam-5987	380	17	a	a	DET
ejpam-5987	380	18	strong	strong	ADJ
ejpam-5987	380	19	mathematical	mathematical	ADJ
ejpam-5987	380	20	background	background	NOUN
ejpam-5987	380	21	.	.	PUNCT
ejpam-5987	381	1	additionally	additionally	ADV
ejpam-5987	381	2	,	,	PUNCT
ejpam-5987	381	3	the	the	DET
ejpam-5987	381	4	approach	approach	NOUN
ejpam-5987	381	5	is	be	AUX
ejpam-5987	381	6	specifically	specifically	ADV
ejpam-5987	381	7	tailored	tailor	VERB
ejpam-5987	381	8	to	to	ADP
ejpam-5987	381	9	the	the	DET
ejpam-5987	381	10	(	(	PUNCT
ejpam-5987	381	11	3	3	NUM
ejpam-5987	381	12	+	+	NOUN
ejpam-5987	381	13	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	381	14	nonlinear	nonlinear	ADJ
ejpam-5987	381	15	evolution	evolution	NOUN
ejpam-5987	381	16	equation	equation	NOUN
ejpam-5987	381	17	,	,	PUNCT
ejpam-5987	381	18	and	and	CCONJ
ejpam-5987	381	19	its	its	PRON
ejpam-5987	381	20	applicability	applicability	NOUN
ejpam-5987	381	21	to	to	ADP
ejpam-5987	381	22	other	other	ADJ
ejpam-5987	381	23	types	type	NOUN
ejpam-5987	381	24	of	of	ADP
ejpam-5987	381	25	equations	equation	NOUN
ejpam-5987	381	26	remains	remain	VERB
ejpam-5987	381	27	to	to	PART
ejpam-5987	381	28	be	be	AUX
ejpam-5987	381	29	explored	explore	VERB
ejpam-5987	381	30	.	.	PUNCT
ejpam-5987	382	1	furthermore	furthermore	ADV
ejpam-5987	382	2	,	,	PUNCT
ejpam-5987	382	3	the	the	DET
ejpam-5987	382	4	reliance	reliance	NOUN
ejpam-5987	382	5	on	on	ADP
ejpam-5987	382	6	symbolic	symbolic	ADJ
ejpam-5987	382	7	computation	computation	NOUN
ejpam-5987	382	8	tools	tool	NOUN
ejpam-5987	382	9	suggests	suggest	VERB
ejpam-5987	382	10	that	that	SCONJ
ejpam-5987	382	11	the	the	DET
ejpam-5987	382	12	method	method	NOUN
ejpam-5987	382	13	may	may	AUX
ejpam-5987	382	14	be	be	AUX
ejpam-5987	382	15	computationally	computationally	ADV
ejpam-5987	382	16	intensive	intensive	ADJ
ejpam-5987	382	17	for	for	ADP
ejpam-5987	382	18	certain	certain	ADJ
ejpam-5987	382	19	cases	case	NOUN
ejpam-5987	382	20	.	.	PUNCT
ejpam-5987	383	1	despite	despite	SCONJ
ejpam-5987	383	2	these	these	DET
ejpam-5987	383	3	limitations	limitation	NOUN
ejpam-5987	383	4	,	,	PUNCT
ejpam-5987	383	5	the	the	DET
ejpam-5987	383	6	method	method	NOUN
ejpam-5987	383	7	represents	represent	VERB
ejpam-5987	383	8	a	a	DET
ejpam-5987	383	9	significant	significant	ADJ
ejpam-5987	383	10	contribution	contribution	NOUN
ejpam-5987	383	11	to	to	ADP
ejpam-5987	383	12	the	the	DET
ejpam-5987	383	13	field	field	NOUN
ejpam-5987	383	14	,	,	PUNCT
ejpam-5987	383	15	providing	provide	VERB
ejpam-5987	383	16	a	a	DET
ejpam-5987	383	17	foundation	foundation	NOUN
ejpam-5987	383	18	for	for	ADP
ejpam-5987	383	19	future	future	ADJ
ejpam-5987	383	20	research	research	NOUN
ejpam-5987	383	21	in	in	ADP
ejpam-5987	383	22	nonlinear	nonlinear	ADJ
ejpam-5987	383	23	dynamics	dynamic	NOUN
ejpam-5987	383	24	and	and	CCONJ
ejpam-5987	383	25	wave	wave	NOUN
ejpam-5987	383	26	phenomena	phenomenon	NOUN
ejpam-5987	383	27	.	.	PUNCT
ejpam-5987	384	1	the	the	DET
ejpam-5987	384	2	results	result	NOUN
ejpam-5987	384	3	obtained	obtain	VERB
ejpam-5987	384	4	in	in	ADP
ejpam-5987	384	5	this	this	DET
ejpam-5987	384	6	article	article	NOUN
ejpam-5987	384	7	for	for	ADP
ejpam-5987	384	8	the	the	DET
ejpam-5987	384	9	equation	equation	NOUN
ejpam-5987	384	10	can	can	AUX
ejpam-5987	384	11	be	be	AUX
ejpam-5987	384	12	considered	consider	VERB
ejpam-5987	384	13	innovative	innovative	ADJ
ejpam-5987	384	14	findings	finding	NOUN
ejpam-5987	384	15	for	for	ADP
ejpam-5987	384	16	the	the	DET
ejpam-5987	384	17	main	main	ADJ
ejpam-5987	384	18	equation	equation	NOUN
ejpam-5987	384	19	,	,	PUNCT
ejpam-5987	384	20	which	which	PRON
ejpam-5987	384	21	have	have	AUX
ejpam-5987	384	22	not	not	PART
ejpam-5987	384	23	been	be	AUX
ejpam-5987	384	24	presented	present	VERB
ejpam-5987	384	25	in	in	ADP
ejpam-5987	384	26	previous	previous	ADJ
ejpam-5987	384	27	literature	literature	NOUN
ejpam-5987	384	28	.	.	PUNCT
ejpam-5987	385	1	the	the	DET
ejpam-5987	385	2	findings	finding	NOUN
ejpam-5987	385	3	of	of	ADP
ejpam-5987	385	4	this	this	DET
ejpam-5987	385	5	paper	paper	NOUN
ejpam-5987	385	6	provide	provide	VERB
ejpam-5987	385	7	new	new	ADJ
ejpam-5987	385	8	insights	insight	NOUN
ejpam-5987	385	9	into	into	ADP
ejpam-5987	385	10	non	non	ADJ
ejpam-5987	385	11	-	-	ADJ
ejpam-5987	385	12	traveling	traveling	ADJ
ejpam-5987	385	13	wave	wave	NOUN
ejpam-5987	385	14	phenomena	phenomenon	NOUN
ejpam-5987	385	15	.	.	PUNCT
ejpam-5987	386	1	these	these	DET
ejpam-5987	386	2	insights	insight	NOUN
ejpam-5987	386	3	establish	establish	VERB
ejpam-5987	386	4	a	a	DET
ejpam-5987	386	5	foundation	foundation	NOUN
ejpam-5987	386	6	for	for	ADP
ejpam-5987	386	7	future	future	ADJ
ejpam-5987	386	8	research	research	NOUN
ejpam-5987	386	9	in	in	ADP
ejpam-5987	386	10	nonlinear	nonlinear	ADJ
ejpam-5987	386	11	dynamics	dynamic	NOUN
ejpam-5987	386	12	.	.	PUNCT
ejpam-5987	387	1	s.	s.	PROPN
ejpam-5987	387	2	a.	a.	PROPN
ejpam-5987	387	3	m.	m.	PROPN
ejpam-5987	387	4	alsallami	alsallami	PROPN
ejpam-5987	387	5	,	,	PUNCT
ejpam-5987	387	6	m.	m.	NOUN
ejpam-5987	387	7	alkinidri	alkinidri	PROPN
ejpam-5987	387	8	/	/	SYM
ejpam-5987	387	9	eur	eur	PROPN
ejpam-5987	387	10	.	.	PUNCT
ejpam-5987	388	1	j.	j.	PROPN
ejpam-5987	388	2	pure	pure	PROPN
ejpam-5987	388	3	appl	appl	PROPN
ejpam-5987	388	4	.	.	PROPN
ejpam-5987	388	5	math	math	PROPN
ejpam-5987	388	6	,	,	PUNCT
ejpam-5987	388	7	18	18	NUM
ejpam-5987	388	8	(	(	PUNCT
ejpam-5987	388	9	2	2	NUM
ejpam-5987	388	10	)	)	PUNCT
ejpam-5987	388	11	(	(	PUNCT
ejpam-5987	388	12	2025	2025	NUM
ejpam-5987	388	13	)	)	PUNCT
ejpam-5987	388	14	,	,	PUNCT
ejpam-5987	388	15	5987	5987	NUM
ejpam-5987	388	16	19	19	NUM
ejpam-5987	388	17	of	of	ADP
ejpam-5987	388	18	22	22	NUM
ejpam-5987	388	19	acknowledgements	acknowledgement	NOUN
ejpam-5987	388	20	the	the	DET
ejpam-5987	388	21	authors	author	NOUN
ejpam-5987	388	22	extend	extend	VERB
ejpam-5987	388	23	their	their	PRON
ejpam-5987	388	24	appreciation	appreciation	NOUN
ejpam-5987	388	25	to	to	ADP
ejpam-5987	388	26	umm	umm	INTJ
ejpam-5987	388	27	al	al	PROPN
ejpam-5987	388	28	-	-	PUNCT
ejpam-5987	388	29	qura	qura	PROPN
ejpam-5987	388	30	university	university	PROPN
ejpam-5987	388	31	,	,	PUNCT
ejpam-5987	388	32	saudi	saudi	PROPN
ejpam-5987	388	33	arabia	arabia	PROPN
ejpam-5987	388	34	for	for	ADP
ejpam-5987	388	35	funding	fund	VERB
ejpam-5987	388	36	this	this	DET
ejpam-5987	388	37	research	research	NOUN
ejpam-5987	388	38	work	work	NOUN
ejpam-5987	388	39	through	through	ADP
ejpam-5987	388	40	grant	grant	NOUN
ejpam-5987	388	41	number	number	NOUN
ejpam-5987	388	42	:	:	PUNCT
ejpam-5987	388	43	25uqu4290491gssr02	25uqu4290491gssr02	NUM
ejpam-5987	388	44	.	.	X
ejpam-5987	388	45	funding	funding	NOUN
ejpam-5987	388	46	statement	statement	NOUN
ejpam-5987	388	47	this	this	DET
ejpam-5987	388	48	research	research	NOUN
ejpam-5987	388	49	work	work	NOUN
ejpam-5987	388	50	was	be	AUX
ejpam-5987	388	51	funded	fund	VERB
ejpam-5987	388	52	by	by	ADP
ejpam-5987	388	53	umm	umm	INTJ
ejpam-5987	388	54	al	al	PROPN
ejpam-5987	388	55	-	-	PUNCT
ejpam-5987	388	56	qura	qura	PROPN
ejpam-5987	388	57	university	university	NOUN
ejpam-5987	388	58	,	,	PUNCT
ejpam-5987	388	59	saudi	saudi	PROPN
ejpam-5987	388	60	arabia	arabia	PROPN
ejpam-5987	388	61	under	under	ADP
ejpam-5987	388	62	grant	grant	NOUN
ejpam-5987	388	63	number	number	NOUN
ejpam-5987	388	64	:	:	PUNCT
ejpam-5987	388	65	25uqu4290491gssr02	25uqu4290491gssr02	NUM
ejpam-5987	388	66	.	.	NUM
ejpam-5987	389	1	references	reference	NOUN
ejpam-5987	389	2	[	[	X
ejpam-5987	389	3	1	1	X
ejpam-5987	389	4	]	]	PUNCT
ejpam-5987	389	5	a	a	DET
ejpam-5987	389	6	al	al	PROPN
ejpam-5987	389	7	-	-	PUNCT
ejpam-5987	389	8	mamun	mamun	PROPN
ejpam-5987	389	9	,	,	PUNCT
ejpam-5987	389	10	c	c	PROPN
ejpam-5987	389	11	lu	lu	PROPN
ejpam-5987	389	12	,	,	PUNCT
ejpam-5987	389	13	sn	sn	ADV
ejpam-5987	389	14	ananna	ananna	ADJ
ejpam-5987	389	15	,	,	PUNCT
ejpam-5987	389	16	h	h	NOUN
ejpam-5987	389	17	ismail	ismail	PROPN
ejpam-5987	389	18	,	,	PUNCT
ejpam-5987	389	19	a	a	DET
ejpam-5987	389	20	bari	bari	NOUN
ejpam-5987	389	21	,	,	PUNCT
ejpam-5987	389	22	and	and	CCONJ
ejpam-5987	389	23	mm	mm	PROPN
ejpam-5987	389	24	uddin	uddin	NOUN
ejpam-5987	389	25	.	.	PUNCT
ejpam-5987	390	1	the	the	DET
ejpam-5987	390	2	influence	influence	NOUN
ejpam-5987	390	3	of	of	ADP
ejpam-5987	390	4	fractionality	fractionality	NOUN
ejpam-5987	390	5	and	and	CCONJ
ejpam-5987	390	6	unconstrained	unconstrained	ADJ
ejpam-5987	390	7	parameters	parameter	NOUN
ejpam-5987	390	8	on	on	ADP
ejpam-5987	390	9	mathematical	mathematical	ADJ
ejpam-5987	390	10	and	and	CCONJ
ejpam-5987	390	11	graphical	graphical	ADJ
ejpam-5987	390	12	analysis	analysis	NOUN
ejpam-5987	390	13	of	of	ADP
ejpam-5987	390	14	the	the	DET
ejpam-5987	390	15	time	time	NOUN
ejpam-5987	390	16	fractional	fractional	ADJ
ejpam-5987	390	17	phi	phi	NOUN
ejpam-5987	390	18	-	-	PUNCT
ejpam-5987	390	19	four	four	NUM
ejpam-5987	390	20	model	model	NOUN
ejpam-5987	390	21	.	.	PUNCT
ejpam-5987	391	1	chaos	chaos	NOUN
ejpam-5987	391	2	,	,	PUNCT
ejpam-5987	391	3	solitons	soliton	NOUN
ejpam-5987	391	4	&	&	CCONJ
ejpam-5987	391	5	fractals	fractal	NOUN
ejpam-5987	391	6	,	,	PUNCT
ejpam-5987	391	7	183:114892	183:114892	NUM
ejpam-5987	391	8	,	,	PUNCT
ejpam-5987	391	9	2024	2024	NUM
ejpam-5987	391	10	.	.	PUNCT
ejpam-5987	392	1	[	[	X
ejpam-5987	392	2	2	2	NUM
ejpam-5987	392	3	]	]	PUNCT
ejpam-5987	392	4	a	a	DET
ejpam-5987	392	5	al	al	PROPN
ejpam-5987	392	6	-	-	PUNCT
ejpam-5987	392	7	mamun	mamun	PROPN
ejpam-5987	392	8	,	,	PUNCT
ejpam-5987	392	9	c	c	PROPN
ejpam-5987	392	10	lu	lu	PROPN
ejpam-5987	392	11	,	,	PUNCT
ejpam-5987	392	12	sn	sn	ADV
ejpam-5987	392	13	ananna	ananna	ADJ
ejpam-5987	392	14	,	,	PUNCT
ejpam-5987	392	15	and	and	CCONJ
ejpam-5987	392	16	mm	mm	PROPN
ejpam-5987	392	17	uddin	uddin	NOUN
ejpam-5987	392	18	.	.	PUNCT
ejpam-5987	393	1	rational	rational	ADJ
ejpam-5987	393	2	sine	sine	NOUN
ejpam-5987	393	3	-	-	PUNCT
ejpam-5987	393	4	gordon	gordon	NOUN
ejpam-5987	393	5	expansion	expansion	NOUN
ejpam-5987	393	6	method	method	NOUN
ejpam-5987	393	7	to	to	PART
ejpam-5987	393	8	analyze	analyze	VERB
ejpam-5987	393	9	the	the	DET
ejpam-5987	393	10	dynamical	dynamical	ADJ
ejpam-5987	393	11	behavior	behavior	NOUN
ejpam-5987	393	12	of	of	ADP
ejpam-5987	393	13	the	the	DET
ejpam-5987	393	14	time	time	NOUN
ejpam-5987	393	15	-	-	PUNCT
ejpam-5987	393	16	fractional	fractional	ADJ
ejpam-5987	393	17	phi	phi	NOUN
ejpam-5987	393	18	-	-	PUNCT
ejpam-5987	393	19	four	four	NUM
ejpam-5987	393	20	and	and	CCONJ
ejpam-5987	393	21	(	(	PUNCT
ejpam-5987	393	22	2	2	NUM
ejpam-5987	393	23	+	+	NOUN
ejpam-5987	393	24	1	1	NUM
ejpam-5987	393	25	)	)	PUNCT
ejpam-5987	393	26	dimensional	dimensional	ADJ
ejpam-5987	393	27	cbs	cbs	PROPN
ejpam-5987	393	28	equations	equation	NOUN
ejpam-5987	393	29	.	.	PUNCT
ejpam-5987	394	1	scientific	scientific	ADJ
ejpam-5987	394	2	reports	report	NOUN
ejpam-5987	394	3	,	,	PUNCT
ejpam-5987	394	4	14(1):9473	14(1):9473	NUM
ejpam-5987	394	5	,	,	PUNCT
ejpam-5987	394	6	2024	2024	NUM
ejpam-5987	394	7	.	.	PUNCT
ejpam-5987	395	1	[	[	X
ejpam-5987	395	2	3	3	X
ejpam-5987	395	3	]	]	X
ejpam-5987	395	4	a	a	DET
ejpam-5987	395	5	al	al	PROPN
ejpam-5987	395	6	-	-	PUNCT
ejpam-5987	395	7	mamun	mamun	PROPN
ejpam-5987	395	8	,	,	PUNCT
ejpam-5987	395	9	c	c	PROPN
ejpam-5987	395	10	lu	lu	PROPN
ejpam-5987	395	11	,	,	PUNCT
ejpam-5987	395	12	sn	sn	ADV
ejpam-5987	395	13	ananna	ananna	ADJ
ejpam-5987	395	14	,	,	PUNCT
ejpam-5987	395	15	and	and	CCONJ
ejpam-5987	395	16	mm	mm	PROPN
ejpam-5987	395	17	uddin	uddin	PROPN
ejpam-5987	395	18	.	.	PUNCT
ejpam-5987	396	1	dynamical	dynamical	ADJ
ejpam-5987	396	2	behavior	behavior	NOUN
ejpam-5987	396	3	of	of	ADP
ejpam-5987	396	4	water	water	NOUN
ejpam-5987	396	5	wave	wave	NOUN
ejpam-5987	396	6	phenomena	phenomenon	NOUN
ejpam-5987	396	7	for	for	ADP
ejpam-5987	396	8	the	the	DET
ejpam-5987	396	9	3d	3d	PROPN
ejpam-5987	396	10	fractional	fractional	ADJ
ejpam-5987	396	11	wbbm	wbbm	PROPN
ejpam-5987	396	12	equations	equation	NOUN
ejpam-5987	396	13	using	use	VERB
ejpam-5987	396	14	rational	rational	ADJ
ejpam-5987	396	15	sine	sine	ADJ
ejpam-5987	396	16	-	-	PUNCT
ejpam-5987	396	17	gordon	gordon	NOUN
ejpam-5987	396	18	expansion	expansion	NOUN
ejpam-5987	396	19	method	method	NOUN
ejpam-5987	396	20	.	.	PUNCT
ejpam-5987	397	1	scientific	scientific	ADJ
ejpam-5987	397	2	reports	report	NOUN
ejpam-5987	397	3	,	,	PUNCT
ejpam-5987	397	4	14(1):6455	14(1):6455	NUM
ejpam-5987	397	5	,	,	PUNCT
ejpam-5987	397	6	2024	2024	NUM
ejpam-5987	397	7	.	.	PUNCT
ejpam-5987	398	1	[	[	X
ejpam-5987	398	2	4	4	X
ejpam-5987	398	3	]	]	X
ejpam-5987	398	4	a	a	DET
ejpam-5987	398	5	al	al	PROPN
ejpam-5987	398	6	-	-	PUNCT
ejpam-5987	398	7	mamun	mamun	PROPN
ejpam-5987	398	8	,	,	PUNCT
ejpam-5987	398	9	sn	sn	NOUN
ejpam-5987	398	10	ananna	ananna	ADJ
ejpam-5987	398	11	,	,	PUNCT
ejpam-5987	398	12	pp	pp	ADP
ejpam-5987	398	13	gharami	gharami	NOUN
ejpam-5987	398	14	,	,	PUNCT
ejpam-5987	398	15	t	t	PROPN
ejpam-5987	398	16	an	an	PROPN
ejpam-5987	398	17	,	,	PUNCT
ejpam-5987	398	18	and	and	CCONJ
ejpam-5987	398	19	md	md	PROPN
ejpam-5987	398	20	asaduzzaman	asaduzzaman	NOUN
ejpam-5987	398	21	.	.	PUNCT
ejpam-5987	399	1	the	the	DET
ejpam-5987	399	2	improved	improve	VERB
ejpam-5987	399	3	modified	modify	VERB
ejpam-5987	399	4	extended	extended	ADJ
ejpam-5987	399	5	tanh	tanh	NOUN
ejpam-5987	399	6	-	-	PUNCT
ejpam-5987	399	7	function	function	NOUN
ejpam-5987	399	8	method	method	NOUN
ejpam-5987	399	9	to	to	PART
ejpam-5987	399	10	develop	develop	VERB
ejpam-5987	399	11	the	the	DET
ejpam-5987	399	12	exact	exact	ADJ
ejpam-5987	399	13	travelling	travel	VERB
ejpam-5987	399	14	wave	wave	NOUN
ejpam-5987	399	15	solutions	solution	NOUN
ejpam-5987	399	16	of	of	ADP
ejpam-5987	399	17	a	a	DET
ejpam-5987	399	18	family	family	NOUN
ejpam-5987	399	19	of	of	ADP
ejpam-5987	399	20	3d	3d	PROPN
ejpam-5987	399	21	fractional	fractional	ADJ
ejpam-5987	399	22	wbbm	wbbm	PROPN
ejpam-5987	399	23	equations	equation	NOUN
ejpam-5987	399	24	.	.	PUNCT
ejpam-5987	400	1	results	result	NOUN
ejpam-5987	400	2	in	in	ADP
ejpam-5987	400	3	physics	physics	NOUN
ejpam-5987	400	4	,	,	PUNCT
ejpam-5987	400	5	41:105969	41:105969	NUM
ejpam-5987	400	6	,	,	PUNCT
ejpam-5987	400	7	2022	2022	NUM
ejpam-5987	400	8	.	.	PUNCT
ejpam-5987	401	1	[	[	X
ejpam-5987	401	2	5	5	NUM
ejpam-5987	401	3	]	]	PUNCT
ejpam-5987	401	4	a	a	DET
ejpam-5987	401	5	al	al	PROPN
ejpam-5987	401	6	-	-	PUNCT
ejpam-5987	401	7	mamun	mamun	PROPN
ejpam-5987	401	8	,	,	PUNCT
ejpam-5987	401	9	sn	sn	NOUN
ejpam-5987	401	10	ananna	ananna	ADJ
ejpam-5987	401	11	,	,	PUNCT
ejpam-5987	401	12	t	t	PROPN
ejpam-5987	401	13	an	an	PROPN
ejpam-5987	401	14	,	,	PUNCT
ejpam-5987	401	15	m	m	NOUN
ejpam-5987	401	16	asaduzzaman	asaduzzaman	NOUN
ejpam-5987	401	17	,	,	PUNCT
ejpam-5987	401	18	and	and	CCONJ
ejpam-5987	401	19	ms	ms	PROPN
ejpam-5987	401	20	rana	rana	PROPN
ejpam-5987	401	21	.	.	PUNCT
ejpam-5987	402	1	sine	sine	ADJ
ejpam-5987	402	2	-	-	PUNCT
ejpam-5987	402	3	gordon	gordon	PROPN
ejpam-5987	402	4	expansion	expansion	NOUN
ejpam-5987	402	5	method	method	NOUN
ejpam-5987	402	6	to	to	PART
ejpam-5987	402	7	construct	construct	VERB
ejpam-5987	402	8	the	the	DET
ejpam-5987	402	9	solitary	solitary	ADJ
ejpam-5987	402	10	wave	wave	NOUN
ejpam-5987	402	11	solutions	solution	NOUN
ejpam-5987	402	12	of	of	ADP
ejpam-5987	402	13	a	a	DET
ejpam-5987	402	14	family	family	NOUN
ejpam-5987	402	15	of	of	ADP
ejpam-5987	402	16	3d	3d	PROPN
ejpam-5987	402	17	fractional	fractional	ADJ
ejpam-5987	402	18	wbbm	wbbm	PROPN
ejpam-5987	402	19	equations	equation	NOUN
ejpam-5987	402	20	.	.	PUNCT
ejpam-5987	403	1	results	result	NOUN
ejpam-5987	403	2	in	in	ADP
ejpam-5987	403	3	physics	physics	NOUN
ejpam-5987	403	4	,	,	PUNCT
ejpam-5987	403	5	40:105845	40:105845	NOUN
ejpam-5987	403	6	,	,	PUNCT
ejpam-5987	403	7	2022	2022	NUM
ejpam-5987	403	8	.	.	PUNCT
ejpam-5987	404	1	[	[	X
ejpam-5987	404	2	6	6	NUM
ejpam-5987	404	3	]	]	PUNCT
ejpam-5987	404	4	a	a	DET
ejpam-5987	404	5	al	al	PROPN
ejpam-5987	404	6	-	-	PUNCT
ejpam-5987	404	7	mamun	mamun	PROPN
ejpam-5987	404	8	,	,	PUNCT
ejpam-5987	404	9	t	t	PROPN
ejpam-5987	404	10	an	an	PROPN
ejpam-5987	404	11	,	,	PUNCT
ejpam-5987	404	12	nh	nh	PROPN
ejpam-5987	404	13	shahen	shahen	NOUN
ejpam-5987	404	14	,	,	PUNCT
ejpam-5987	404	15	sn	sn	ADV
ejpam-5987	404	16	ananna	ananna	ADJ
ejpam-5987	404	17	,	,	PUNCT
ejpam-5987	404	18	foyjonnesa	foyjonnesa	PROPN
ejpam-5987	404	19	,	,	PUNCT
ejpam-5987	404	20	mf	mf	PROPN
ejpam-5987	404	21	hossain	hossain	PROPN
ejpam-5987	404	22	,	,	PUNCT
ejpam-5987	404	23	and	and	CCONJ
ejpam-5987	404	24	tmuazu	tmuazu	NOUN
ejpam-5987	404	25	.	.	PUNCT
ejpam-5987	405	1	exact	exact	ADJ
ejpam-5987	405	2	and	and	CCONJ
ejpam-5987	405	3	explicit	explicit	ADJ
ejpam-5987	405	4	travelling	travelling	ADJ
ejpam-5987	405	5	-	-	PUNCT
ejpam-5987	405	6	wave	wave	NOUN
ejpam-5987	405	7	solutions	solution	NOUN
ejpam-5987	405	8	to	to	ADP
ejpam-5987	405	9	the	the	DET
ejpam-5987	405	10	family	family	NOUN
ejpam-5987	405	11	of	of	ADP
ejpam-5987	405	12	new	new	ADJ
ejpam-5987	405	13	3d	3d	PROPN
ejpam-5987	405	14	fractional	fractional	ADJ
ejpam-5987	405	15	wbbm	wbbm	PROPN
ejpam-5987	405	16	equations	equation	NOUN
ejpam-5987	405	17	in	in	ADP
ejpam-5987	405	18	mathematical	mathematical	ADJ
ejpam-5987	405	19	physics	physics	NOUN
ejpam-5987	405	20	.	.	PUNCT
ejpam-5987	406	1	results	result	NOUN
ejpam-5987	406	2	in	in	ADP
ejpam-5987	406	3	physics	physics	NOUN
ejpam-5987	406	4	,	,	PUNCT
ejpam-5987	406	5	19:103517	19:103517	NUM
ejpam-5987	406	6	,	,	PUNCT
ejpam-5987	406	7	2020	2020	NUM
ejpam-5987	406	8	.	.	PUNCT
ejpam-5987	407	1	[	[	X
ejpam-5987	407	2	7	7	NUM
ejpam-5987	407	3	]	]	PUNCT
ejpam-5987	407	4	am	be	AUX
ejpam-5987	407	5	wazwaz	wazwaz	NOUN
ejpam-5987	407	6	.	.	PUNCT
ejpam-5987	408	1	partial	partial	ADJ
ejpam-5987	408	2	differential	differential	ADJ
ejpam-5987	408	3	equations	equation	NOUN
ejpam-5987	408	4	and	and	CCONJ
ejpam-5987	408	5	solitary	solitary	ADJ
ejpam-5987	408	6	waves	wave	NOUN
ejpam-5987	408	7	theory	theory	NOUN
ejpam-5987	408	8	.	.	PUNCT
ejpam-5987	409	1	springer	springer	NOUN
ejpam-5987	409	2	science	science	PROPN
ejpam-5987	409	3	&	&	CCONJ
ejpam-5987	409	4	business	business	NOUN
ejpam-5987	409	5	media	medium	NOUN
ejpam-5987	409	6	,	,	PUNCT
ejpam-5987	409	7	2010	2010	NUM
ejpam-5987	409	8	.	.	PUNCT
ejpam-5987	410	1	[	[	X
ejpam-5987	410	2	8	8	NUM
ejpam-5987	410	3	]	]	X
ejpam-5987	410	4	j	j	PROPN
ejpam-5987	410	5	jost	jost	PROPN
ejpam-5987	410	6	.	.	PUNCT
ejpam-5987	411	1	partial	partial	ADJ
ejpam-5987	411	2	differential	differential	ADJ
ejpam-5987	411	3	equations	equation	NOUN
ejpam-5987	411	4	.	.	PUNCT
ejpam-5987	412	1	springer	springer	NOUN
ejpam-5987	412	2	,	,	PUNCT
ejpam-5987	412	3	new	new	PROPN
ejpam-5987	412	4	york	york	PROPN
ejpam-5987	412	5	,	,	PUNCT
ejpam-5987	412	6	2013	2013	NUM
ejpam-5987	412	7	.	.	PUNCT
ejpam-5987	413	1	[	[	X
ejpam-5987	413	2	9	9	NUM
ejpam-5987	413	3	]	]	X
ejpam-5987	413	4	sam	sam	PROPN
ejpam-5987	413	5	alsallami	alsallami	PROPN
ejpam-5987	413	6	.	.	PUNCT
ejpam-5987	414	1	discovering	discover	VERB
ejpam-5987	414	2	optical	optical	ADJ
ejpam-5987	414	3	solutions	solution	NOUN
ejpam-5987	414	4	to	to	ADP
ejpam-5987	414	5	a	a	DET
ejpam-5987	414	6	nonlinear	nonlinear	ADJ
ejpam-5987	414	7	schrödinger	schrödinger	NOUN
ejpam-5987	414	8	equation	equation	NOUN
ejpam-5987	414	9	and	and	CCONJ
ejpam-5987	414	10	its	its	PRON
ejpam-5987	414	11	bifurcation	bifurcation	NOUN
ejpam-5987	414	12	and	and	CCONJ
ejpam-5987	414	13	chaos	chaos	NOUN
ejpam-5987	414	14	analysis	analysis	NOUN
ejpam-5987	414	15	.	.	PUNCT
ejpam-5987	415	1	nonlinear	nonlinear	ADJ
ejpam-5987	415	2	engineering	engineering	NOUN
ejpam-5987	415	3	,	,	PUNCT
ejpam-5987	415	4	13(1):20240019	13(1):20240019	NUM
ejpam-5987	415	5	,	,	PUNCT
ejpam-5987	415	6	2024	2024	NUM
ejpam-5987	415	7	.	.	PUNCT
ejpam-5987	416	1	[	[	X
ejpam-5987	416	2	10	10	NUM
ejpam-5987	416	3	]	]	X
ejpam-5987	416	4	sam	sam	PROPN
ejpam-5987	416	5	alsallami	alsallami	PROPN
ejpam-5987	416	6	.	.	PUNCT
ejpam-5987	417	1	discrete	discrete	VERB
ejpam-5987	417	2	integrable	integrable	ADJ
ejpam-5987	417	3	systems	system	NOUN
ejpam-5987	417	4	and	and	CCONJ
ejpam-5987	417	5	geometric	geometric	ADJ
ejpam-5987	417	6	numerical	numerical	ADJ
ejpam-5987	417	7	integration	integration	NOUN
ejpam-5987	417	8	.	.	PUNCT
ejpam-5987	418	1	phd	phd	NOUN
ejpam-5987	418	2	thesis	thesis	PROPN
ejpam-5987	418	3	,	,	PUNCT
ejpam-5987	418	4	university	university	NOUN
ejpam-5987	418	5	of	of	ADP
ejpam-5987	418	6	leeds	leed	NOUN
ejpam-5987	418	7	,	,	PUNCT
ejpam-5987	418	8	2018	2018	NUM
ejpam-5987	418	9	.	.	PUNCT
ejpam-5987	419	1	[	[	X
ejpam-5987	419	2	11	11	NUM
ejpam-5987	419	3	]	]	X
ejpam-5987	419	4	sam	sam	PROPN
ejpam-5987	419	5	alsallami	alsallami	PROPN
ejpam-5987	419	6	,	,	PUNCT
ejpam-5987	419	7	j	j	PROPN
ejpam-5987	419	8	niesen	niesen	PROPN
ejpam-5987	419	9	,	,	PUNCT
ejpam-5987	419	10	and	and	CCONJ
ejpam-5987	419	11	fw	fw	ADJ
ejpam-5987	419	12	nijhoff	nijhoff	NOUN
ejpam-5987	419	13	.	.	PUNCT
ejpam-5987	420	1	closed	close	VERB
ejpam-5987	420	2	-	-	PUNCT
ejpam-5987	420	3	form	form	NOUN
ejpam-5987	420	4	modified	modify	VERB
ejpam-5987	420	5	hamiltonians	hamiltonian	NOUN
ejpam-5987	420	6	for	for	ADP
ejpam-5987	420	7	integrable	integrable	ADJ
ejpam-5987	420	8	numerical	numerical	ADJ
ejpam-5987	420	9	integration	integration	NOUN
ejpam-5987	420	10	schemes	scheme	NOUN
ejpam-5987	420	11	.	.	PUNCT
ejpam-5987	421	1	nonlinearity	nonlinearity	NOUN
ejpam-5987	421	2	,	,	PUNCT
ejpam-5987	421	3	31(11):5110	31(11):5110	NUM
ejpam-5987	421	4	,	,	PUNCT
ejpam-5987	421	5	2018	2018	NUM
ejpam-5987	421	6	.	.	PUNCT
ejpam-5987	422	1	[	[	X
ejpam-5987	422	2	12	12	NUM
ejpam-5987	422	3	]	]	PUNCT
ejpam-5987	422	4	ts	ts	ADP
ejpam-5987	422	5	amer	amer	PROPN
ejpam-5987	422	6	,	,	PUNCT
ejpam-5987	422	7	hf	hf	PROPN
ejpam-5987	422	8	el	el	NOUN
ejpam-5987	422	9	-	-	PUNCT
ejpam-5987	422	10	kafly	kafly	NOUN
ejpam-5987	422	11	,	,	PUNCT
ejpam-5987	422	12	ah	ah	INTJ
ejpam-5987	422	13	elneklawy	elneklawy	NOUN
ejpam-5987	422	14	,	,	PUNCT
ejpam-5987	422	15	and	and	CCONJ
ejpam-5987	422	16	ws	ws	PROPN
ejpam-5987	422	17	amer	amer	PROPN
ejpam-5987	422	18	.	.	PUNCT
ejpam-5987	423	1	modeling	model	VERB
ejpam-5987	423	2	analysis	analysis	NOUN
ejpam-5987	423	3	on	on	ADP
ejpam-5987	423	4	the	the	DET
ejpam-5987	423	5	influence	influence	NOUN
ejpam-5987	423	6	of	of	ADP
ejpam-5987	423	7	the	the	DET
ejpam-5987	423	8	gyrostatic	gyrostatic	ADJ
ejpam-5987	423	9	moment	moment	NOUN
ejpam-5987	423	10	on	on	ADP
ejpam-5987	423	11	the	the	DET
ejpam-5987	423	12	motion	motion	NOUN
ejpam-5987	423	13	of	of	ADP
ejpam-5987	423	14	a	a	DET
ejpam-5987	423	15	charged	charge	VERB
ejpam-5987	423	16	rigid	rigid	ADJ
ejpam-5987	423	17	body	body	NOUN
ejpam-5987	423	18	subjected	subject	VERB
ejpam-5987	423	19	s.	s.	PROPN
ejpam-5987	423	20	a.	a.	PROPN
ejpam-5987	423	21	m.	m.	PROPN
ejpam-5987	423	22	alsallami	alsallami	PROPN
ejpam-5987	423	23	,	,	PUNCT
ejpam-5987	423	24	m.	m.	NOUN
ejpam-5987	423	25	alkinidri	alkinidri	PROPN
ejpam-5987	423	26	/	/	SYM
ejpam-5987	423	27	eur	eur	PROPN
ejpam-5987	423	28	.	.	PUNCT
ejpam-5987	424	1	j.	j.	PROPN
ejpam-5987	424	2	pure	pure	PROPN
ejpam-5987	424	3	appl	appl	PROPN
ejpam-5987	424	4	.	.	PROPN
ejpam-5987	424	5	math	math	PROPN
ejpam-5987	424	6	,	,	PUNCT
ejpam-5987	424	7	18	18	NUM
ejpam-5987	424	8	(	(	PUNCT
ejpam-5987	424	9	2	2	NUM
ejpam-5987	424	10	)	)	PUNCT
ejpam-5987	424	11	(	(	PUNCT
ejpam-5987	424	12	2025	2025	NUM
ejpam-5987	424	13	)	)	PUNCT
ejpam-5987	424	14	,	,	PUNCT
ejpam-5987	424	15	5987	5987	NUM
ejpam-5987	424	16	20	20	NUM
ejpam-5987	424	17	of	of	ADP
ejpam-5987	424	18	22	22	NUM
ejpam-5987	424	19	to	to	PART
ejpam-5987	424	20	constant	constant	ADJ
ejpam-5987	424	21	axial	axial	ADJ
ejpam-5987	424	22	torque	torque	NOUN
ejpam-5987	424	23	.	.	PUNCT
ejpam-5987	425	1	journal	journal	NOUN
ejpam-5987	425	2	of	of	ADP
ejpam-5987	425	3	low	low	ADJ
ejpam-5987	425	4	frequency	frequency	NOUN
ejpam-5987	425	5	noise	noise	NOUN
ejpam-5987	425	6	,	,	PUNCT
ejpam-5987	425	7	vibration	vibration	NOUN
ejpam-5987	425	8	and	and	CCONJ
ejpam-5987	425	9	active	active	ADJ
ejpam-5987	425	10	control	control	NOUN
ejpam-5987	425	11	,	,	PUNCT
ejpam-5987	425	12	43(4):1593–1610	43(4):1593–1610	NUM
ejpam-5987	425	13	,	,	PUNCT
ejpam-5987	425	14	2024	2024	NUM
ejpam-5987	425	15	.	.	PUNCT
ejpam-5987	426	1	[	[	X
ejpam-5987	426	2	13	13	NUM
ejpam-5987	426	3	]	]	PUNCT
ejpam-5987	426	4	ts	ts	ADP
ejpam-5987	426	5	amer	amer	PROPN
ejpam-5987	426	6	,	,	PUNCT
ejpam-5987	426	7	ah	ah	INTJ
ejpam-5987	426	8	elneklawy	elneklawy	NOUN
ejpam-5987	426	9	,	,	PUNCT
ejpam-5987	426	10	and	and	CCONJ
ejpam-5987	426	11	hf	hf	ADP
ejpam-5987	426	12	el	el	NOUN
ejpam-5987	426	13	-	-	PUNCT
ejpam-5987	426	14	kafly	kafly	NOUN
ejpam-5987	426	15	.	.	PUNCT
ejpam-5987	427	1	a	a	DET
ejpam-5987	427	2	novel	novel	ADJ
ejpam-5987	427	3	approach	approach	NOUN
ejpam-5987	427	4	to	to	ADP
ejpam-5987	427	5	solving	solve	VERB
ejpam-5987	427	6	euler	euler	NOUN
ejpam-5987	427	7	’s	’s	PART
ejpam-5987	427	8	nonlinear	nonlinear	ADJ
ejpam-5987	427	9	equations	equation	NOUN
ejpam-5987	427	10	for	for	ADP
ejpam-5987	427	11	a	a	DET
ejpam-5987	427	12	3dof	3dof	NUM
ejpam-5987	427	13	dynamical	dynamical	ADJ
ejpam-5987	427	14	motion	motion	NOUN
ejpam-5987	427	15	of	of	ADP
ejpam-5987	427	16	a	a	DET
ejpam-5987	427	17	rigid	rigid	ADJ
ejpam-5987	427	18	body	body	NOUN
ejpam-5987	427	19	under	under	ADP
ejpam-5987	427	20	gyrostatic	gyrostatic	ADJ
ejpam-5987	427	21	and	and	CCONJ
ejpam-5987	427	22	constant	constant	ADJ
ejpam-5987	427	23	torques	torque	NOUN
ejpam-5987	427	24	.	.	PUNCT
ejpam-5987	428	1	journal	journal	PROPN
ejpam-5987	428	2	of	of	ADP
ejpam-5987	428	3	low	low	ADJ
ejpam-5987	428	4	frequency	frequency	NOUN
ejpam-5987	428	5	noise	noise	NOUN
ejpam-5987	428	6	,	,	PUNCT
ejpam-5987	428	7	vibration	vibration	NOUN
ejpam-5987	428	8	and	and	CCONJ
ejpam-5987	428	9	active	active	ADJ
ejpam-5987	428	10	control	control	NOUN
ejpam-5987	428	11	,	,	PUNCT
ejpam-5987	428	12	44(1):111–129	44(1):111–129	PROPN
ejpam-5987	428	13	,	,	PUNCT
ejpam-5987	428	14	2024	2024	NUM
ejpam-5987	428	15	.	.	PUNCT
ejpam-5987	429	1	[	[	X
ejpam-5987	429	2	14	14	NUM
ejpam-5987	429	3	]	]	PUNCT
ejpam-5987	429	4	ts	ts	ADP
ejpam-5987	429	5	amer	amer	PROPN
ejpam-5987	429	6	,	,	PUNCT
ejpam-5987	429	7	ah	ah	INTJ
ejpam-5987	429	8	elneklawy	elneklawy	NOUN
ejpam-5987	429	9	,	,	PUNCT
ejpam-5987	429	10	and	and	CCONJ
ejpam-5987	429	11	hf	hf	ADP
ejpam-5987	429	12	el	el	NOUN
ejpam-5987	429	13	-	-	PUNCT
ejpam-5987	429	14	kafly	kafly	NOUN
ejpam-5987	429	15	.	.	PUNCT
ejpam-5987	430	1	analysis	analysis	NOUN
ejpam-5987	430	2	of	of	ADP
ejpam-5987	430	3	euler	euler	PROPN
ejpam-5987	430	4	’s	’s	PART
ejpam-5987	430	5	equations	equation	NOUN
ejpam-5987	430	6	for	for	ADP
ejpam-5987	430	7	a	a	DET
ejpam-5987	430	8	symmetric	symmetric	ADJ
ejpam-5987	430	9	rigid	rigid	ADJ
ejpam-5987	430	10	body	body	NOUN
ejpam-5987	430	11	subject	subject	ADJ
ejpam-5987	430	12	to	to	ADP
ejpam-5987	430	13	time	time	NOUN
ejpam-5987	430	14	-	-	PUNCT
ejpam-5987	430	15	dependent	dependent	ADJ
ejpam-5987	430	16	gyrostatic	gyrostatic	ADJ
ejpam-5987	430	17	torque	torque	NOUN
ejpam-5987	430	18	.	.	PUNCT
ejpam-5987	431	1	journal	journal	NOUN
ejpam-5987	431	2	of	of	ADP
ejpam-5987	431	3	low	low	ADJ
ejpam-5987	431	4	frequency	frequency	NOUN
ejpam-5987	431	5	noise	noise	NOUN
ejpam-5987	431	6	,	,	PUNCT
ejpam-5987	431	7	vibration	vibration	NOUN
ejpam-5987	431	8	and	and	CCONJ
ejpam-5987	431	9	active	active	ADJ
ejpam-5987	431	10	control	control	NOUN
ejpam-5987	431	11	,	,	PUNCT
ejpam-5987	431	12	page	page	NOUN
ejpam-5987	431	13	14613484241312465	14613484241312465	NUM
ejpam-5987	431	14	,	,	PUNCT
ejpam-5987	431	15	2025	2025	NUM
ejpam-5987	431	16	.	.	PUNCT
ejpam-5987	432	1	[	[	X
ejpam-5987	432	2	15	15	NUM
ejpam-5987	432	3	]	]	PUNCT
ejpam-5987	432	4	ts	ts	ADP
ejpam-5987	432	5	amer	amer	PROPN
ejpam-5987	432	6	,	,	PUNCT
ejpam-5987	432	7	ws	ws	PROPN
ejpam-5987	432	8	amer	amer	PROPN
ejpam-5987	432	9	,	,	PUNCT
ejpam-5987	432	10	m	m	VERB
ejpam-5987	432	11	fakharany	fakharany	ADJ
ejpam-5987	432	12	,	,	PUNCT
ejpam-5987	432	13	ah	ah	INTJ
ejpam-5987	432	14	elneklawy	elneklawy	NOUN
ejpam-5987	432	15	,	,	PUNCT
ejpam-5987	432	16	and	and	CCONJ
ejpam-5987	432	17	hf	hf	ADP
ejpam-5987	432	18	el	el	NOUN
ejpam-5987	432	19	-	-	PUNCT
ejpam-5987	432	20	kafly	kafly	NOUN
ejpam-5987	432	21	.	.	PUNCT
ejpam-5987	433	1	modeling	modeling	NOUN
ejpam-5987	433	2	of	of	ADP
ejpam-5987	433	3	the	the	DET
ejpam-5987	433	4	euler	euler	NOUN
ejpam-5987	433	5	-	-	PUNCT
ejpam-5987	433	6	poisson	poisson	NOUN
ejpam-5987	433	7	equations	equation	NOUN
ejpam-5987	433	8	for	for	ADP
ejpam-5987	433	9	rigid	rigid	ADJ
ejpam-5987	433	10	bodies	body	NOUN
ejpam-5987	433	11	in	in	ADP
ejpam-5987	433	12	the	the	DET
ejpam-5987	433	13	context	context	NOUN
ejpam-5987	433	14	of	of	ADP
ejpam-5987	433	15	the	the	DET
ejpam-5987	433	16	gyrostatic	gyrostatic	ADJ
ejpam-5987	433	17	influences	influence	NOUN
ejpam-5987	433	18	:	:	PUNCT
ejpam-5987	433	19	an	an	DET
ejpam-5987	433	20	innovative	innovative	ADJ
ejpam-5987	433	21	methodology	methodology	NOUN
ejpam-5987	433	22	.	.	PUNCT
ejpam-5987	434	1	european	european	PROPN
ejpam-5987	434	2	journal	journal	PROPN
ejpam-5987	434	3	of	of	ADP
ejpam-5987	434	4	pure	pure	ADJ
ejpam-5987	434	5	and	and	CCONJ
ejpam-5987	434	6	applied	applied	ADJ
ejpam-5987	434	7	mathematics	mathematic	NOUN
ejpam-5987	434	8	,	,	PUNCT
ejpam-5987	434	9	18(1):5712	18(1):5712	NOUN
ejpam-5987	434	10	,	,	PUNCT
ejpam-5987	434	11	2025	2025	NUM
ejpam-5987	434	12	.	.	PUNCT
ejpam-5987	435	1	[	[	X
ejpam-5987	435	2	16	16	NUM
ejpam-5987	435	3	]	]	PUNCT
ejpam-5987	435	4	ts	ts	ADP
ejpam-5987	435	5	amer	amer	PROPN
ejpam-5987	435	6	,	,	PUNCT
ejpam-5987	435	7	ah	ah	INTJ
ejpam-5987	435	8	elneklawy	elneklawy	NOUN
ejpam-5987	435	9	,	,	PUNCT
ejpam-5987	435	10	and	and	CCONJ
ejpam-5987	435	11	hf	hf	ADP
ejpam-5987	435	12	el	el	NOUN
ejpam-5987	435	13	-	-	PUNCT
ejpam-5987	435	14	kafly	kafly	NOUN
ejpam-5987	435	15	.	.	PUNCT
ejpam-5987	436	1	dynamical	dynamical	ADJ
ejpam-5987	436	2	motion	motion	NOUN
ejpam-5987	436	3	of	of	ADP
ejpam-5987	436	4	a	a	DET
ejpam-5987	436	5	spacecraft	spacecraft	NOUN
ejpam-5987	436	6	containing	contain	VERB
ejpam-5987	436	7	a	a	DET
ejpam-5987	436	8	slug	slug	NOUN
ejpam-5987	436	9	and	and	CCONJ
ejpam-5987	436	10	influenced	influence	VERB
ejpam-5987	436	11	by	by	ADP
ejpam-5987	436	12	a	a	DET
ejpam-5987	436	13	gyrostatic	gyrostatic	ADJ
ejpam-5987	436	14	moment	moment	NOUN
ejpam-5987	436	15	and	and	CCONJ
ejpam-5987	436	16	constant	constant	ADJ
ejpam-5987	436	17	torques	torque	NOUN
ejpam-5987	436	18	.	.	PUNCT
ejpam-5987	437	1	journal	journal	PROPN
ejpam-5987	437	2	of	of	ADP
ejpam-5987	437	3	low	low	ADJ
ejpam-5987	437	4	frequency	frequency	NOUN
ejpam-5987	437	5	noise	noise	NOUN
ejpam-5987	437	6	,	,	PUNCT
ejpam-5987	437	7	vibration	vibration	NOUN
ejpam-5987	437	8	and	and	CCONJ
ejpam-5987	437	9	active	active	ADJ
ejpam-5987	437	10	control	control	NOUN
ejpam-5987	437	11	,	,	PUNCT
ejpam-5987	437	12	page	page	NOUN
ejpam-5987	437	13	14613484251322235	14613484251322235	NUM
ejpam-5987	437	14	,	,	PUNCT
ejpam-5987	437	15	2025	2025	NUM
ejpam-5987	437	16	.	.	PUNCT
ejpam-5987	438	1	[	[	X
ejpam-5987	438	2	17	17	NUM
ejpam-5987	438	3	]	]	X
ejpam-5987	438	4	m	m	PROPN
ejpam-5987	438	5	inc	inc	PROPN
ejpam-5987	438	6	,	,	PUNCT
ejpam-5987	438	7	ea	ea	PROPN
ejpam-5987	438	8	az	az	PROPN
ejpam-5987	438	9	-	-	PROPN
ejpam-5987	438	10	zo’bi	zo’bi	PROPN
ejpam-5987	438	11	,	,	PUNCT
ejpam-5987	438	12	a	a	DET
ejpam-5987	438	13	jhangeer	jhangeer	NOUN
ejpam-5987	438	14	,	,	PUNCT
ejpam-5987	438	15	h	h	NOUN
ejpam-5987	438	16	rezazadeh	rezazadeh	PROPN
ejpam-5987	438	17	,	,	PUNCT
ejpam-5987	438	18	m	m	PROPN
ejpam-5987	438	19	nasir	nasir	PROPN
ejpam-5987	438	20	ali	ali	PROPN
ejpam-5987	438	21	,	,	PUNCT
ejpam-5987	438	22	and	and	CCONJ
ejpam-5987	438	23	mk	mk	PROPN
ejpam-5987	438	24	kaabar	kaabar	PROPN
ejpam-5987	438	25	.	.	PUNCT
ejpam-5987	439	1	new	new	ADJ
ejpam-5987	439	2	soliton	soliton	NOUN
ejpam-5987	439	3	solutions	solution	NOUN
ejpam-5987	439	4	for	for	ADP
ejpam-5987	439	5	the	the	DET
ejpam-5987	439	6	higher	higher	ADV
ejpam-5987	439	7	-	-	PUNCT
ejpam-5987	439	8	dimensional	dimensional	ADJ
ejpam-5987	439	9	non	non	ADJ
ejpam-5987	439	10	-	-	ADJ
ejpam-5987	439	11	local	local	ADJ
ejpam-5987	439	12	ito	ito	PROPN
ejpam-5987	439	13	equation	equation	NOUN
ejpam-5987	439	14	.	.	PUNCT
ejpam-5987	440	1	nonlinear	nonlinear	ADJ
ejpam-5987	440	2	engineering	engineering	NOUN
ejpam-5987	440	3	,	,	PUNCT
ejpam-5987	440	4	10(1):374–384	10(1):374–384	PROPN
ejpam-5987	440	5	,	,	PUNCT
ejpam-5987	440	6	2021	2021	NUM
ejpam-5987	440	7	.	.	PUNCT
ejpam-5987	441	1	[	[	X
ejpam-5987	441	2	18	18	NUM
ejpam-5987	441	3	]	]	SYM
ejpam-5987	441	4	ea	ea	PROPN
ejpam-5987	441	5	az	az	PROPN
ejpam-5987	441	6	-	-	PROPN
ejpam-5987	441	7	zo’bi	zo’bi	PROPN
ejpam-5987	441	8	,	,	PUNCT
ejpam-5987	441	9	k	k	X
ejpam-5987	441	10	afef	afef	NOUN
ejpam-5987	441	11	,	,	PUNCT
ejpam-5987	441	12	r	r	NOUN
ejpam-5987	441	13	urrahman	urrahman	NOUN
ejpam-5987	441	14	,	,	PUNCT
ejpam-5987	441	15	l	l	NOUN
ejpam-5987	441	16	akinyemi	akinyemi	ADV
ejpam-5987	441	17	,	,	PUNCT
ejpam-5987	441	18	a	a	DET
ejpam-5987	441	19	bekir	bekir	NOUN
ejpam-5987	441	20	,	,	PUNCT
ejpam-5987	441	21	h	h	PROPN
ejpam-5987	441	22	ahmad	ahmad	PROPN
ejpam-5987	441	23	,	,	PUNCT
ejpam-5987	441	24	ma	ma	PROPN
ejpam-5987	441	25	tashtoush	tashtoush	NOUN
ejpam-5987	441	26	,	,	PUNCT
ejpam-5987	441	27	and	and	CCONJ
ejpam-5987	441	28	i	i	PRON
ejpam-5987	441	29	mahariq	mahariq	NOUN
ejpam-5987	441	30	.	.	PUNCT
ejpam-5987	442	1	novel	novel	PROPN
ejpam-5987	442	2	topological	topological	ADJ
ejpam-5987	442	3	,	,	PUNCT
ejpam-5987	442	4	non	non	ADJ
ejpam-5987	442	5	-	-	ADJ
ejpam-5987	442	6	topological	topological	ADJ
ejpam-5987	442	7	,	,	PUNCT
ejpam-5987	442	8	and	and	CCONJ
ejpam-5987	442	9	more	more	ADJ
ejpam-5987	442	10	solitons	soliton	NOUN
ejpam-5987	442	11	of	of	ADP
ejpam-5987	442	12	the	the	DET
ejpam-5987	442	13	generalized	generalize	VERB
ejpam-5987	442	14	cubic	cubic	ADJ
ejpam-5987	442	15	p	p	NOUN
ejpam-5987	442	16	-	-	PUNCT
ejpam-5987	442	17	system	system	NOUN
ejpam-5987	442	18	describing	describe	VERB
ejpam-5987	442	19	isothermal	isothermal	ADJ
ejpam-5987	442	20	flux	flux	NOUN
ejpam-5987	442	21	.	.	PUNCT
ejpam-5987	443	1	optical	optical	ADJ
ejpam-5987	443	2	and	and	CCONJ
ejpam-5987	443	3	quantum	quantum	NOUN
ejpam-5987	443	4	electronics	electronic	NOUN
ejpam-5987	443	5	,	,	PUNCT
ejpam-5987	443	6	56(1):84	56(1):84	PROPN
ejpam-5987	443	7	,	,	PUNCT
ejpam-5987	443	8	2024	2024	NUM
ejpam-5987	443	9	.	.	PUNCT
ejpam-5987	444	1	[	[	X
ejpam-5987	444	2	19	19	NUM
ejpam-5987	444	3	]	]	PUNCT
ejpam-5987	444	4	am	be	AUX
ejpam-5987	444	5	wazwaz	wazwaz	NOUN
ejpam-5987	444	6	.	.	PUNCT
ejpam-5987	445	1	new	new	ADJ
ejpam-5987	445	2	(	(	PUNCT
ejpam-5987	445	3	3	3	NUM
ejpam-5987	445	4	+	+	NOUN
ejpam-5987	445	5	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	445	6	painleve	painleve	NOUN
ejpam-5987	445	7	integrable	integrable	ADJ
ejpam-5987	445	8	fifth	fifth	ADJ
ejpam-5987	445	9	-	-	PUNCT
ejpam-5987	445	10	order	order	NOUN
ejpam-5987	445	11	equation	equation	NOUN
ejpam-5987	445	12	with	with	ADP
ejpam-5987	445	13	third	third	ADJ
ejpam-5987	445	14	-	-	PUNCT
ejpam-5987	445	15	order	order	NOUN
ejpam-5987	445	16	temporal	temporal	ADJ
ejpam-5987	445	17	dispersion	dispersion	NOUN
ejpam-5987	445	18	.	.	PUNCT
ejpam-5987	446	1	nonlinear	nonlinear	ADJ
ejpam-5987	446	2	dynamics	dynamic	NOUN
ejpam-5987	446	3	,	,	PUNCT
ejpam-5987	446	4	106(1):891–897	106(1):891–897	PROPN
ejpam-5987	446	5	,	,	PUNCT
ejpam-5987	446	6	2021	2021	NUM
ejpam-5987	446	7	.	.	PUNCT
ejpam-5987	447	1	[	[	X
ejpam-5987	447	2	20	20	NUM
ejpam-5987	447	3	]	]	X
ejpam-5987	447	4	h	h	PROPN
ejpam-5987	447	5	ma	ma	PROPN
ejpam-5987	447	6	,	,	PUNCT
ejpam-5987	447	7	x	x	PROPN
ejpam-5987	447	8	mao	mao	PROPN
ejpam-5987	447	9	,	,	PUNCT
ejpam-5987	447	10	and	and	CCONJ
ejpam-5987	447	11	a	a	DET
ejpam-5987	447	12	deng	deng	PROPN
ejpam-5987	447	13	.	.	PUNCT
ejpam-5987	447	14	resonance	resonance	NOUN
ejpam-5987	447	15	solutions	solution	NOUN
ejpam-5987	447	16	and	and	CCONJ
ejpam-5987	447	17	hybrid	hybrid	ADJ
ejpam-5987	447	18	solutions	solution	NOUN
ejpam-5987	447	19	of	of	ADP
ejpam-5987	447	20	an	an	DET
ejpam-5987	447	21	extended	extended	ADJ
ejpam-5987	447	22	(	(	PUNCT
ejpam-5987	447	23	2	2	NUM
ejpam-5987	447	24	+	+	NOUN
ejpam-5987	447	25	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	447	26	kadomtsev	kadomtsev	ADJ
ejpam-5987	447	27	-	-	PUNCT
ejpam-5987	447	28	petviashvili	petviashvili	NOUN
ejpam-5987	447	29	equation	equation	NOUN
ejpam-5987	447	30	in	in	ADP
ejpam-5987	447	31	fluid	fluid	ADJ
ejpam-5987	447	32	mechanics	mechanic	NOUN
ejpam-5987	447	33	.	.	PUNCT
ejpam-5987	448	1	nonlinear	nonlinear	ADJ
ejpam-5987	448	2	dynamics	dynamic	NOUN
ejpam-5987	448	3	,	,	PUNCT
ejpam-5987	448	4	111:13439–13455	111:13439–13455	NUM
ejpam-5987	448	5	,	,	PUNCT
ejpam-5987	448	6	2023	2023	NUM
ejpam-5987	448	7	.	.	PUNCT
ejpam-5987	449	1	[	[	X
ejpam-5987	449	2	21	21	NUM
ejpam-5987	449	3	]	]	X
ejpam-5987	449	4	jl	jl	PROPN
ejpam-5987	449	5	levandosky	levandosky	PROPN
ejpam-5987	449	6	,	,	PUNCT
ejpam-5987	449	7	s	s	VERB
ejpam-5987	449	8	levandosky	levandosky	NOUN
ejpam-5987	449	9	,	,	PUNCT
ejpam-5987	449	10	wa	wa	PROPN
ejpam-5987	449	11	strauss	strauss	PROPN
ejpam-5987	449	12	,	,	PUNCT
ejpam-5987	449	13	and	and	CCONJ
ejpam-5987	449	14	j	j	PROPN
ejpam-5987	449	15	wiley	wiley	PROPN
ejpam-5987	449	16	.	.	PUNCT
ejpam-5987	450	1	solutions	solution	NOUN
ejpam-5987	450	2	manual	manual	NOUN
ejpam-5987	450	3	for	for	ADP
ejpam-5987	450	4	partial	partial	ADJ
ejpam-5987	450	5	differential	differential	ADJ
ejpam-5987	450	6	equations	equation	NOUN
ejpam-5987	450	7	:	:	PUNCT
ejpam-5987	450	8	an	an	DET
ejpam-5987	450	9	introduction	introduction	NOUN
ejpam-5987	450	10	.	.	PUNCT
ejpam-5987	451	1	john	john	PROPN
ejpam-5987	451	2	wiley	wiley	PROPN
ejpam-5987	451	3	&	&	CCONJ
ejpam-5987	451	4	sons	sons	PROPN
ejpam-5987	451	5	,	,	PUNCT
ejpam-5987	451	6	hoboken	hoboken	PROPN
ejpam-5987	451	7	,	,	PUNCT
ejpam-5987	451	8	2008	2008	NUM
ejpam-5987	451	9	.	.	PUNCT
ejpam-5987	452	1	[	[	X
ejpam-5987	452	2	22	22	NUM
ejpam-5987	452	3	]	]	PUNCT
ejpam-5987	452	4	yh	yh	PROPN
ejpam-5987	452	5	yin	yin	PROPN
ejpam-5987	452	6	,	,	PUNCT
ejpam-5987	452	7	x	x	X
ejpam-5987	452	8	lü	lü	X
ejpam-5987	452	9	,	,	PUNCT
ejpam-5987	452	10	and	and	CCONJ
ejpam-5987	452	11	wx	wx	PROPN
ejpam-5987	452	12	ma	ma	PROPN
ejpam-5987	452	13	.	.	PROPN
ejpam-5987	452	14	bäcklund	bäcklund	PROPN
ejpam-5987	452	15	transformation	transformation	NOUN
ejpam-5987	452	16	,	,	PUNCT
ejpam-5987	452	17	exact	exact	ADJ
ejpam-5987	452	18	solutions	solution	NOUN
ejpam-5987	452	19	and	and	CCONJ
ejpam-5987	452	20	diverse	diverse	ADJ
ejpam-5987	452	21	interaction	interaction	NOUN
ejpam-5987	452	22	phenomena	phenomenon	NOUN
ejpam-5987	452	23	to	to	ADP
ejpam-5987	452	24	a	a	DET
ejpam-5987	452	25	(	(	PUNCT
ejpam-5987	452	26	3	3	NUM
ejpam-5987	452	27	+	+	NOUN
ejpam-5987	452	28	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	452	29	nonlinear	nonlinear	ADJ
ejpam-5987	452	30	evolution	evolution	NOUN
ejpam-5987	452	31	equation	equation	NOUN
ejpam-5987	452	32	.	.	PUNCT
ejpam-5987	453	1	nonlinear	nonlinear	ADJ
ejpam-5987	453	2	dynamics	dynamic	NOUN
ejpam-5987	453	3	,	,	PUNCT
ejpam-5987	453	4	108:4181–4194	108:4181–4194	NUM
ejpam-5987	453	5	,	,	PUNCT
ejpam-5987	453	6	2022	2022	NUM
ejpam-5987	453	7	.	.	PUNCT
ejpam-5987	454	1	[	[	X
ejpam-5987	454	2	23	23	NUM
ejpam-5987	454	3	]	]	SYM
ejpam-5987	454	4	ea	ea	PROPN
ejpam-5987	454	5	az	az	PROPN
ejpam-5987	454	6	-	-	PUNCT
ejpam-5987	454	7	zo’bi	zo’bi	PROPN
ejpam-5987	454	8	.	.	PUNCT
ejpam-5987	455	1	peakon	peakon	NOUN
ejpam-5987	455	2	and	and	CCONJ
ejpam-5987	455	3	solitary	solitary	ADJ
ejpam-5987	455	4	wave	wave	NOUN
ejpam-5987	455	5	solutions	solution	NOUN
ejpam-5987	455	6	for	for	ADP
ejpam-5987	455	7	the	the	DET
ejpam-5987	455	8	modified	modify	VERB
ejpam-5987	455	9	fornberg	fornberg	PROPN
ejpam-5987	455	10	-	-	PUNCT
ejpam-5987	455	11	whitham	whitham	NOUN
ejpam-5987	455	12	equation	equation	NOUN
ejpam-5987	455	13	using	use	VERB
ejpam-5987	455	14	simplest	simple	ADJ
ejpam-5987	455	15	equation	equation	NOUN
ejpam-5987	455	16	method	method	NOUN
ejpam-5987	455	17	.	.	PUNCT
ejpam-5987	456	1	international	international	ADJ
ejpam-5987	456	2	journal	journal	PROPN
ejpam-5987	456	3	of	of	ADP
ejpam-5987	456	4	mathematics	mathematic	NOUN
ejpam-5987	456	5	and	and	CCONJ
ejpam-5987	456	6	computer	computer	NOUN
ejpam-5987	456	7	science	science	NOUN
ejpam-5987	456	8	,	,	PUNCT
ejpam-5987	456	9	14(3):635–645	14(3):635–645	PROPN
ejpam-5987	456	10	,	,	PUNCT
ejpam-5987	456	11	2019	2019	NUM
ejpam-5987	456	12	.	.	PUNCT
ejpam-5987	457	1	[	[	X
ejpam-5987	457	2	24	24	NUM
ejpam-5987	457	3	]	]	X
ejpam-5987	457	4	kj	kj	PROPN
ejpam-5987	457	5	wang	wang	PROPN
ejpam-5987	457	6	,	,	PUNCT
ejpam-5987	457	7	gd	gd	PROPN
ejpam-5987	457	8	wang	wang	PROPN
ejpam-5987	457	9	,	,	PUNCT
ejpam-5987	457	10	and	and	CCONJ
ejpam-5987	457	11	f	f	PROPN
ejpam-5987	457	12	shi	shi	PROPN
ejpam-5987	457	13	.	.	PUNCT
ejpam-5987	458	1	nonlinear	nonlinear	ADJ
ejpam-5987	458	2	dynamics	dynamic	NOUN
ejpam-5987	458	3	of	of	ADP
ejpam-5987	458	4	soliton	soliton	NOUN
ejpam-5987	458	5	molecules	molecule	NOUN
ejpam-5987	458	6	,	,	PUNCT
ejpam-5987	458	7	hybrid	hybrid	ADJ
ejpam-5987	458	8	interactions	interaction	NOUN
ejpam-5987	458	9	,	,	PUNCT
ejpam-5987	458	10	and	and	CCONJ
ejpam-5987	458	11	other	other	ADJ
ejpam-5987	458	12	wave	wave	NOUN
ejpam-5987	458	13	solutions	solution	NOUN
ejpam-5987	458	14	for	for	ADP
ejpam-5987	458	15	the	the	DET
ejpam-5987	458	16	(	(	PUNCT
ejpam-5987	458	17	3	3	NUM
ejpam-5987	458	18	+	+	NOUN
ejpam-5987	458	19	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	458	20	generalized	generalized	ADJ
ejpam-5987	458	21	kadomtsev	kadomtsev	VERB
ejpam-5987	458	22	–	–	PUNCT
ejpam-5987	458	23	petviashvili	petviashvili	ADJ
ejpam-5987	458	24	-	-	PUNCT
ejpam-5987	458	25	boussinesq	boussinesq	NOUN
ejpam-5987	458	26	equation	equation	NOUN
ejpam-5987	458	27	.	.	PUNCT
ejpam-5987	459	1	modern	modern	ADJ
ejpam-5987	459	2	physics	physics	NOUN
ejpam-5987	459	3	letters	letters	PROPN
ejpam-5987	459	4	b	b	PROPN
ejpam-5987	459	5	,	,	PUNCT
ejpam-5987	459	6	38(25):2450194	38(25):2450194	NUM
ejpam-5987	459	7	,	,	PUNCT
ejpam-5987	459	8	2024	2024	NUM
ejpam-5987	459	9	.	.	PUNCT
ejpam-5987	460	1	[	[	X
ejpam-5987	460	2	25	25	NUM
ejpam-5987	460	3	]	]	X
ejpam-5987	460	4	k	k	PROPN
ejpam-5987	460	5	hosseini	hosseini	PROPN
ejpam-5987	460	6	,	,	PUNCT
ejpam-5987	460	7	f	f	PROPN
ejpam-5987	460	8	alizadeh	alizadeh	NOUN
ejpam-5987	460	9	,	,	PUNCT
ejpam-5987	460	10	e	e	X
ejpam-5987	460	11	hincal	hincal	ADJ
ejpam-5987	460	12	,	,	PUNCT
ejpam-5987	460	13	d	d	PROPN
ejpam-5987	460	14	baleanu	baleanu	NOUN
ejpam-5987	460	15	,	,	PUNCT
ejpam-5987	460	16	ms	ms	PROPN
ejpam-5987	460	17	osman	osman	PROPN
ejpam-5987	460	18	,	,	PUNCT
ejpam-5987	460	19	and	and	CCONJ
ejpam-5987	460	20	amwazwaz	amwazwaz	NOUN
ejpam-5987	460	21	.	.	PUNCT
ejpam-5987	461	1	resonant	resonant	VERB
ejpam-5987	461	2	multi	multi	ADJ
ejpam-5987	461	3	-	-	ADJ
ejpam-5987	461	4	wave	wave	ADJ
ejpam-5987	461	5	,	,	PUNCT
ejpam-5987	461	6	positive	positive	ADJ
ejpam-5987	461	7	multi	multi	NOUN
ejpam-5987	461	8	-	-	NOUN
ejpam-5987	461	9	complexiton	complexiton	ADJ
ejpam-5987	461	10	,	,	PUNCT
ejpam-5987	461	11	nonclassical	nonclassical	ADJ
ejpam-5987	461	12	lie	lie	NOUN
ejpam-5987	461	13	symmetries	symmetry	NOUN
ejpam-5987	461	14	,	,	PUNCT
ejpam-5987	461	15	and	and	CCONJ
ejpam-5987	461	16	conservation	conservation	NOUN
ejpam-5987	461	17	laws	law	NOUN
ejpam-5987	461	18	to	to	ADP
ejpam-5987	461	19	a	a	DET
ejpam-5987	461	20	generalized	generalize	VERB
ejpam-5987	461	21	hirota	hirota	NOUN
ejpam-5987	461	22	bilinear	bilinear	NOUN
ejpam-5987	461	23	equation	equation	NOUN
ejpam-5987	461	24	.	.	PUNCT
ejpam-5987	462	1	modern	modern	ADJ
ejpam-5987	462	2	physics	physics	NOUN
ejpam-5987	462	3	letters	letters	PROPN
ejpam-5987	462	4	b	b	NOUN
ejpam-5987	462	5	,	,	PUNCT
ejpam-5987	462	6	page	page	NOUN
ejpam-5987	462	7	s.	s.	PROPN
ejpam-5987	462	8	a.	a.	PROPN
ejpam-5987	462	9	m.	m.	PROPN
ejpam-5987	462	10	alsallami	alsallami	PROPN
ejpam-5987	462	11	,	,	PUNCT
ejpam-5987	462	12	m.	m.	NOUN
ejpam-5987	462	13	alkinidri	alkinidri	PROPN
ejpam-5987	462	14	/	/	SYM
ejpam-5987	462	15	eur	eur	PROPN
ejpam-5987	462	16	.	.	PUNCT
ejpam-5987	463	1	j.	j.	PROPN
ejpam-5987	463	2	pure	pure	PROPN
ejpam-5987	463	3	appl	appl	PROPN
ejpam-5987	463	4	.	.	PROPN
ejpam-5987	463	5	math	math	PROPN
ejpam-5987	463	6	,	,	PUNCT
ejpam-5987	463	7	18	18	NUM
ejpam-5987	463	8	(	(	PUNCT
ejpam-5987	463	9	2	2	NUM
ejpam-5987	463	10	)	)	PUNCT
ejpam-5987	463	11	(	(	PUNCT
ejpam-5987	463	12	2025	2025	NUM
ejpam-5987	463	13	)	)	PUNCT
ejpam-5987	463	14	,	,	PUNCT
ejpam-5987	463	15	5987	5987	NUM
ejpam-5987	463	16	21	21	NUM
ejpam-5987	463	17	of	of	ADP
ejpam-5987	463	18	22	22	NUM
ejpam-5987	463	19	2550032	2550032	NUM
ejpam-5987	463	20	,	,	PUNCT
ejpam-5987	463	21	2024	2024	NUM
ejpam-5987	463	22	.	.	PUNCT
ejpam-5987	464	1	[	[	X
ejpam-5987	464	2	26	26	NUM
ejpam-5987	464	3	]	]	X
ejpam-5987	464	4	y	y	PROPN
ejpam-5987	464	5	wang	wang	PROPN
ejpam-5987	464	6	and	and	CCONJ
ejpam-5987	464	7	x	x	PROPN
ejpam-5987	464	8	lü.	lü.	NOUN
ejpam-5987	464	9	bäcklund	bäcklund	NOUN
ejpam-5987	464	10	transformation	transformation	NOUN
ejpam-5987	464	11	and	and	CCONJ
ejpam-5987	464	12	interaction	interaction	NOUN
ejpam-5987	464	13	solutions	solution	NOUN
ejpam-5987	464	14	of	of	ADP
ejpam-5987	464	15	a	a	DET
ejpam-5987	464	16	generalized	generalized	ADJ
ejpam-5987	464	17	kadomtsev	kadomtsev	VERB
ejpam-5987	464	18	-	-	PUNCT
ejpam-5987	464	19	petviashvili	petviashvili	NOUN
ejpam-5987	464	20	equation	equation	NOUN
ejpam-5987	464	21	with	with	ADP
ejpam-5987	464	22	variable	variable	ADJ
ejpam-5987	464	23	coefficients	coefficient	NOUN
ejpam-5987	464	24	.	.	PUNCT
ejpam-5987	465	1	chinese	chinese	ADJ
ejpam-5987	465	2	journal	journal	PROPN
ejpam-5987	465	3	of	of	ADP
ejpam-5987	465	4	physics	physics	PROPN
ejpam-5987	465	5	,	,	PUNCT
ejpam-5987	465	6	89:37–45	89:37–45	NUM
ejpam-5987	465	7	,	,	PUNCT
ejpam-5987	465	8	2024	2024	NUM
ejpam-5987	465	9	.	.	PUNCT
ejpam-5987	466	1	[	[	X
ejpam-5987	466	2	27	27	NUM
ejpam-5987	466	3	]	]	X
ejpam-5987	466	4	ru	ru	PROPN
ejpam-5987	466	5	rahman	rahman	PROPN
ejpam-5987	466	6	,	,	PUNCT
ejpam-5987	466	7	af	af	PROPN
ejpam-5987	466	8	al	al	PROPN
ejpam-5987	466	9	-	-	PUNCT
ejpam-5987	466	10	maaitah	maaitah	PROPN
ejpam-5987	466	11	,	,	PUNCT
ejpam-5987	466	12	m	m	VERB
ejpam-5987	466	13	qousini	qousini	NOUN
ejpam-5987	466	14	,	,	PUNCT
ejpam-5987	466	15	ea	ea	X
ejpam-5987	466	16	az	az	PROPN
ejpam-5987	466	17	-	-	PROPN
ejpam-5987	466	18	zo’bi	zo’bi	PROPN
ejpam-5987	466	19	,	,	PUNCT
ejpam-5987	466	20	sm	sm	PROPN
ejpam-5987	466	21	eldin	eldin	PROPN
ejpam-5987	466	22	,	,	PUNCT
ejpam-5987	466	23	and	and	CCONJ
ejpam-5987	466	24	m	m	VERB
ejpam-5987	466	25	abuzar	abuzar	ADJ
ejpam-5987	466	26	.	.	PUNCT
ejpam-5987	467	1	new	new	ADJ
ejpam-5987	467	2	soliton	soliton	NOUN
ejpam-5987	467	3	solutions	solution	NOUN
ejpam-5987	467	4	and	and	CCONJ
ejpam-5987	467	5	modulation	modulation	NOUN
ejpam-5987	467	6	instability	instability	NOUN
ejpam-5987	467	7	analysis	analysis	NOUN
ejpam-5987	467	8	of	of	ADP
ejpam-5987	467	9	fractional	fractional	ADJ
ejpam-5987	467	10	huxley	huxley	PROPN
ejpam-5987	467	11	equation	equation	NOUN
ejpam-5987	467	12	.	.	PUNCT
ejpam-5987	468	1	results	result	NOUN
ejpam-5987	468	2	in	in	ADP
ejpam-5987	468	3	physics	physics	NOUN
ejpam-5987	468	4	,	,	PUNCT
ejpam-5987	468	5	44:106163	44:106163	NUM
ejpam-5987	468	6	,	,	PUNCT
ejpam-5987	468	7	2023	2023	NUM
ejpam-5987	468	8	.	.	PUNCT
ejpam-5987	469	1	[	[	X
ejpam-5987	469	2	28	28	NUM
ejpam-5987	469	3	]	]	SYM
ejpam-5987	469	4	ea	ea	PROPN
ejpam-5987	469	5	az	az	PROPN
ejpam-5987	469	6	-	-	PUNCT
ejpam-5987	469	7	zo’bi	zo’bi	PROPN
ejpam-5987	469	8	,	,	PUNCT
ejpam-5987	469	9	l	l	NOUN
ejpam-5987	469	10	akinyemi	akinyemi	NOUN
ejpam-5987	469	11	,	,	PUNCT
ejpam-5987	469	12	and	and	CCONJ
ejpam-5987	469	13	ao	ao	PROPN
ejpam-5987	469	14	alleddawi	alleddawi	PROPN
ejpam-5987	469	15	.	.	PUNCT
ejpam-5987	470	1	construction	construction	NOUN
ejpam-5987	470	2	of	of	ADP
ejpam-5987	470	3	optical	optical	ADJ
ejpam-5987	470	4	solitons	soliton	NOUN
ejpam-5987	470	5	for	for	ADP
ejpam-5987	470	6	conformable	conformable	ADJ
ejpam-5987	470	7	generalized	generalized	ADJ
ejpam-5987	470	8	model	model	NOUN
ejpam-5987	470	9	in	in	ADP
ejpam-5987	470	10	nonlinear	nonlinear	ADJ
ejpam-5987	470	11	media	medium	NOUN
ejpam-5987	470	12	.	.	PUNCT
ejpam-5987	471	1	modern	modern	ADJ
ejpam-5987	471	2	physics	physics	NOUN
ejpam-5987	471	3	letters	letters	PROPN
ejpam-5987	471	4	b	b	PROPN
ejpam-5987	471	5	,	,	PUNCT
ejpam-5987	471	6	35(24):2150409	35(24):2150409	NUM
ejpam-5987	471	7	,	,	PUNCT
ejpam-5987	471	8	2021	2021	NUM
ejpam-5987	471	9	.	.	PUNCT
ejpam-5987	472	1	[	[	X
ejpam-5987	472	2	29	29	NUM
ejpam-5987	472	3	]	]	X
ejpam-5987	472	4	x	x	X
ejpam-5987	472	5	geng	geng	PROPN
ejpam-5987	472	6	.	.	PUNCT
ejpam-5987	473	1	algebraic	algebraic	ADJ
ejpam-5987	473	2	-	-	PUNCT
ejpam-5987	473	3	geometrical	geometrical	ADJ
ejpam-5987	473	4	solutions	solution	NOUN
ejpam-5987	473	5	of	of	ADP
ejpam-5987	473	6	some	some	DET
ejpam-5987	473	7	multidimensional	multidimensional	ADJ
ejpam-5987	473	8	nonlinear	nonlinear	ADJ
ejpam-5987	473	9	evolution	evolution	NOUN
ejpam-5987	473	10	equations	equation	NOUN
ejpam-5987	473	11	.	.	PUNCT
ejpam-5987	474	1	journal	journal	PROPN
ejpam-5987	474	2	of	of	ADP
ejpam-5987	474	3	physics	physics	PROPN
ejpam-5987	474	4	a	a	PRON
ejpam-5987	474	5	:	:	PUNCT
ejpam-5987	474	6	mathematical	mathematical	ADJ
ejpam-5987	474	7	and	and	CCONJ
ejpam-5987	474	8	general	general	ADJ
ejpam-5987	474	9	,	,	PUNCT
ejpam-5987	474	10	36:2289–2303	36:2289–2303	NUM
ejpam-5987	474	11	,	,	PUNCT
ejpam-5987	474	12	2003	2003	NUM
ejpam-5987	474	13	.	.	PUNCT
ejpam-5987	475	1	[	[	X
ejpam-5987	475	2	30	30	NUM
ejpam-5987	475	3	]	]	PUNCT
ejpam-5987	475	4	am	be	AUX
ejpam-5987	475	5	wazwaz	wazwaz	NOUN
ejpam-5987	475	6	.	.	PUNCT
ejpam-5987	476	1	new	new	ADJ
ejpam-5987	476	2	(	(	PUNCT
ejpam-5987	476	3	3	3	NUM
ejpam-5987	476	4	+	+	NOUN
ejpam-5987	476	5	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	476	6	nonlinear	nonlinear	ADJ
ejpam-5987	476	7	evolution	evolution	NOUN
ejpam-5987	476	8	equations	equation	NOUN
ejpam-5987	476	9	with	with	ADP
ejpam-5987	476	10	mkdv	mkdv	ADJ
ejpam-5987	476	11	equation	equation	NOUN
ejpam-5987	476	12	constituting	constitute	VERB
ejpam-5987	476	13	its	its	PRON
ejpam-5987	476	14	main	main	ADJ
ejpam-5987	476	15	part	part	NOUN
ejpam-5987	476	16	:	:	PUNCT
ejpam-5987	476	17	multiple	multiple	ADJ
ejpam-5987	476	18	soliton	soliton	NOUN
ejpam-5987	476	19	solutions	solution	NOUN
ejpam-5987	476	20	.	.	PUNCT
ejpam-5987	477	1	chaos	chaos	NOUN
ejpam-5987	477	2	,	,	PUNCT
ejpam-5987	477	3	solitons	soliton	NOUN
ejpam-5987	477	4	&	&	CCONJ
ejpam-5987	477	5	fractals	fractal	NOUN
ejpam-5987	477	6	,	,	PUNCT
ejpam-5987	477	7	76:93–97	76:93–97	NUM
ejpam-5987	477	8	,	,	PUNCT
ejpam-5987	477	9	2015	2015	NUM
ejpam-5987	477	10	.	.	PUNCT
ejpam-5987	478	1	[	[	X
ejpam-5987	478	2	31	31	NUM
ejpam-5987	478	3	]	]	PUNCT
ejpam-5987	478	4	n	n	CCONJ
ejpam-5987	478	5	liu	liu	PROPN
ejpam-5987	478	6	and	and	CCONJ
ejpam-5987	478	7	y	y	PROPN
ejpam-5987	478	8	liu	liu	PROPN
ejpam-5987	478	9	.	.	PUNCT
ejpam-5987	479	1	new	new	ADJ
ejpam-5987	479	2	multi	multi	ADJ
ejpam-5987	479	3	-	-	ADJ
ejpam-5987	479	4	soliton	soliton	ADJ
ejpam-5987	479	5	solutions	solution	NOUN
ejpam-5987	479	6	of	of	ADP
ejpam-5987	479	7	a	a	DET
ejpam-5987	479	8	(	(	PUNCT
ejpam-5987	479	9	3	3	NUM
ejpam-5987	479	10	+	+	NOUN
ejpam-5987	479	11	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	479	12	nonlinear	nonlinear	ADJ
ejpam-5987	479	13	evolution	evolution	NOUN
ejpam-5987	479	14	equation	equation	NOUN
ejpam-5987	479	15	.	.	PUNCT
ejpam-5987	480	1	computers	computer	NOUN
ejpam-5987	480	2	&	&	CCONJ
ejpam-5987	480	3	mathematics	mathematics	PROPN
ejpam-5987	480	4	with	with	ADP
ejpam-5987	480	5	applications	application	NOUN
ejpam-5987	480	6	,	,	PUNCT
ejpam-5987	480	7	71:1645–1654	71:1645–1654	NUM
ejpam-5987	480	8	,	,	PUNCT
ejpam-5987	480	9	2016	2016	NUM
ejpam-5987	480	10	.	.	PUNCT
ejpam-5987	481	1	[	[	X
ejpam-5987	481	2	32	32	NUM
ejpam-5987	481	3	]	]	PUNCT
ejpam-5987	481	4	hq	hq	PROPN
ejpam-5987	481	5	zhang	zhang	PROPN
ejpam-5987	481	6	and	and	CCONJ
ejpam-5987	481	7	wx	wx	PROPN
ejpam-5987	481	8	ma	ma	PROPN
ejpam-5987	481	9	.	.	PROPN
ejpam-5987	481	10	resonant	resonant	PROPN
ejpam-5987	481	11	multiple	multiple	ADJ
ejpam-5987	481	12	wave	wave	NOUN
ejpam-5987	481	13	solutions	solution	NOUN
ejpam-5987	481	14	for	for	ADP
ejpam-5987	481	15	a	a	DET
ejpam-5987	481	16	(	(	PUNCT
ejpam-5987	481	17	3	3	NUM
ejpam-5987	481	18	+	+	NOUN
ejpam-5987	481	19	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	481	20	nonlinear	nonlinear	ADJ
ejpam-5987	481	21	evolution	evolution	NOUN
ejpam-5987	481	22	equation	equation	NOUN
ejpam-5987	481	23	by	by	ADP
ejpam-5987	481	24	linear	linear	PROPN
ejpam-5987	481	25	superposition	superposition	NOUN
ejpam-5987	481	26	principle	principle	NOUN
ejpam-5987	481	27	.	.	PUNCT
ejpam-5987	482	1	computers	computer	NOUN
ejpam-5987	482	2	&	&	CCONJ
ejpam-5987	482	3	mathematics	mathematics	PROPN
ejpam-5987	482	4	with	with	ADP
ejpam-5987	482	5	applications	application	NOUN
ejpam-5987	482	6	,	,	PUNCT
ejpam-5987	482	7	73:2339–2343	73:2339–2343	NUM
ejpam-5987	482	8	,	,	PUNCT
ejpam-5987	482	9	2017	2017	NUM
ejpam-5987	482	10	.	.	PUNCT
ejpam-5987	483	1	[	[	X
ejpam-5987	483	2	33	33	NUM
ejpam-5987	483	3	]	]	PUNCT
ejpam-5987	483	4	x	x	SYM
ejpam-5987	483	5	wang	wang	PROPN
ejpam-5987	483	6	,	,	PUNCT
ejpam-5987	483	7	j	j	PROPN
ejpam-5987	483	8	wei	wei	PROPN
ejpam-5987	483	9	,	,	PUNCT
ejpam-5987	483	10	and	and	CCONJ
ejpam-5987	483	11	x	x	PROPN
ejpam-5987	483	12	geng	geng	PROPN
ejpam-5987	483	13	.	.	PUNCT
ejpam-5987	484	1	rational	rational	ADJ
ejpam-5987	484	2	solutions	solution	NOUN
ejpam-5987	484	3	for	for	ADP
ejpam-5987	484	4	a	a	DET
ejpam-5987	484	5	(	(	PUNCT
ejpam-5987	484	6	3	3	NUM
ejpam-5987	484	7	+	+	NOUN
ejpam-5987	484	8	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	484	9	nonlinear	nonlinear	ADJ
ejpam-5987	484	10	evolution	evolution	NOUN
ejpam-5987	484	11	equation	equation	NOUN
ejpam-5987	484	12	.	.	PUNCT
ejpam-5987	485	1	communications	communication	NOUN
ejpam-5987	485	2	in	in	ADP
ejpam-5987	485	3	nonlinear	nonlinear	ADJ
ejpam-5987	485	4	science	science	NOUN
ejpam-5987	485	5	and	and	CCONJ
ejpam-5987	485	6	numerical	numerical	PROPN
ejpam-5987	485	7	simulation	simulation	PROPN
ejpam-5987	485	8	,	,	PUNCT
ejpam-5987	485	9	83:105116	83:105116	NUM
ejpam-5987	485	10	,	,	PUNCT
ejpam-5987	485	11	2020	2020	NUM
ejpam-5987	485	12	.	.	PUNCT
ejpam-5987	486	1	[	[	X
ejpam-5987	486	2	34	34	NUM
ejpam-5987	486	3	]	]	X
ejpam-5987	486	4	k	k	PROPN
ejpam-5987	486	5	hosseini	hosseini	PROPN
ejpam-5987	486	6	,	,	PUNCT
ejpam-5987	486	7	e	e	X
ejpam-5987	486	8	hincal	hincal	ADJ
ejpam-5987	486	9	,	,	PUNCT
ejpam-5987	486	10	d	d	PROPN
ejpam-5987	486	11	baleanu	baleanu	NOUN
ejpam-5987	486	12	,	,	PUNCT
ejpam-5987	486	13	oa	oa	PROPN
ejpam-5987	486	14	obi	obi	PROPN
ejpam-5987	486	15	,	,	PUNCT
ejpam-5987	486	16	and	and	CCONJ
ejpam-5987	486	17	s	s	VERB
ejpam-5987	486	18	salahshour	salahshour	NOUN
ejpam-5987	486	19	.	.	PUNCT
ejpam-5987	486	20	non	non	ADJ
ejpam-5987	486	21	-	-	ADJ
ejpam-5987	486	22	singular	singular	ADJ
ejpam-5987	486	23	multicomplexiton	multicomplexiton	NOUN
ejpam-5987	486	24	wave	wave	NOUN
ejpam-5987	486	25	to	to	ADP
ejpam-5987	486	26	a	a	DET
ejpam-5987	486	27	generalized	generalized	ADJ
ejpam-5987	486	28	kdv	kdv	NOUN
ejpam-5987	486	29	equation	equation	NOUN
ejpam-5987	486	30	.	.	PUNCT
ejpam-5987	487	1	nonlinear	nonlinear	ADJ
ejpam-5987	487	2	dynamics	dynamic	NOUN
ejpam-5987	487	3	,	,	PUNCT
ejpam-5987	487	4	111:7591	111:7591	NUM
ejpam-5987	487	5	–	–	PUNCT
ejpam-5987	487	6	7597	7597	NUM
ejpam-5987	487	7	,	,	PUNCT
ejpam-5987	487	8	2023	2023	NUM
ejpam-5987	487	9	.	.	PUNCT
ejpam-5987	488	1	[	[	X
ejpam-5987	488	2	35	35	NUM
ejpam-5987	488	3	]	]	X
ejpam-5987	488	4	kj	kj	PROPN
ejpam-5987	488	5	wang	wang	PROPN
ejpam-5987	488	6	,	,	PUNCT
ejpam-5987	488	7	qh	qh	PROPN
ejpam-5987	488	8	hou	hou	PROPN
ejpam-5987	488	9	,	,	PUNCT
ejpam-5987	488	10	hb	hb	PROPN
ejpam-5987	488	11	wu	wu	PROPN
ejpam-5987	488	12	,	,	PUNCT
ejpam-5987	488	13	and	and	CCONJ
ejpam-5987	488	14	yy	yy	PROPN
ejpam-5987	488	15	cheng	cheng	PROPN
ejpam-5987	488	16	.	.	PUNCT
ejpam-5987	489	1	soliton	soliton	NOUN
ejpam-5987	489	2	molecules	molecule	NOUN
ejpam-5987	489	3	,	,	PUNCT
ejpam-5987	489	4	novel	novel	ADJ
ejpam-5987	489	5	hybrid	hybrid	NOUN
ejpam-5987	489	6	interaction	interaction	NOUN
ejpam-5987	489	7	solutions	solution	NOUN
ejpam-5987	489	8	and	and	CCONJ
ejpam-5987	489	9	periodic	periodic	ADJ
ejpam-5987	489	10	wave	wave	NOUN
ejpam-5987	489	11	solutions	solution	NOUN
ejpam-5987	489	12	to	to	ADP
ejpam-5987	489	13	the	the	DET
ejpam-5987	489	14	(	(	PUNCT
ejpam-5987	489	15	3	3	NUM
ejpam-5987	489	16	+	+	NOUN
ejpam-5987	489	17	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	489	18	nonlinear	nonlinear	ADJ
ejpam-5987	489	19	evolution	evolution	NOUN
ejpam-5987	489	20	equation	equation	NOUN
ejpam-5987	489	21	for	for	ADP
ejpam-5987	489	22	shallow	shallow	ADJ
ejpam-5987	489	23	-	-	PUNCT
ejpam-5987	489	24	water	water	NOUN
ejpam-5987	489	25	waves	wave	NOUN
ejpam-5987	489	26	.	.	PUNCT
ejpam-5987	490	1	results	result	NOUN
ejpam-5987	490	2	in	in	ADP
ejpam-5987	490	3	physics	physics	NOUN
ejpam-5987	490	4	,	,	PUNCT
ejpam-5987	490	5	56:107208	56:107208	NOUN
ejpam-5987	490	6	,	,	PUNCT
ejpam-5987	490	7	2024	2024	NUM
ejpam-5987	490	8	.	.	PUNCT
ejpam-5987	491	1	[	[	X
ejpam-5987	491	2	36	36	NUM
ejpam-5987	491	3	]	]	X
ejpam-5987	491	4	k	k	PROPN
ejpam-5987	491	5	wang	wang	PROPN
ejpam-5987	491	6	,	,	PUNCT
ejpam-5987	491	7	f	f	PROPN
ejpam-5987	491	8	shi	shi	PROPN
ejpam-5987	491	9	,	,	PUNCT
ejpam-5987	491	10	p	p	PROPN
ejpam-5987	491	11	xu	xu	PROPN
ejpam-5987	491	12	,	,	PUNCT
ejpam-5987	491	13	and	and	CCONJ
ejpam-5987	491	14	s	s	VERB
ejpam-5987	491	15	li	li	PROPN
ejpam-5987	491	16	.	.	PROPN
ejpam-5987	491	17	non	non	ADJ
ejpam-5987	491	18	-	-	ADJ
ejpam-5987	491	19	singular	singular	ADJ
ejpam-5987	491	20	complexiton	complexiton	NOUN
ejpam-5987	491	21	,	,	PUNCT
ejpam-5987	491	22	singular	singular	PROPN
ejpam-5987	491	23	complexiton	complexiton	NOUN
ejpam-5987	491	24	and	and	CCONJ
ejpam-5987	491	25	complex	complex	ADJ
ejpam-5987	491	26	multiple	multiple	ADJ
ejpam-5987	491	27	soliton	soliton	NOUN
ejpam-5987	491	28	solutions	solution	NOUN
ejpam-5987	491	29	to	to	ADP
ejpam-5987	491	30	the	the	DET
ejpam-5987	491	31	(	(	PUNCT
ejpam-5987	491	32	3	3	NUM
ejpam-5987	491	33	+	+	NOUN
ejpam-5987	491	34	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	491	35	nonlinear	nonlinear	ADJ
ejpam-5987	491	36	evolution	evolution	NOUN
ejpam-5987	491	37	equation	equation	NOUN
ejpam-5987	491	38	.	.	PUNCT
ejpam-5987	492	1	mathematical	mathematical	ADJ
ejpam-5987	492	2	methods	method	NOUN
ejpam-5987	492	3	in	in	ADP
ejpam-5987	492	4	the	the	DET
ejpam-5987	492	5	applied	apply	VERB
ejpam-5987	492	6	sciences	science	NOUN
ejpam-5987	492	7	,	,	PUNCT
ejpam-5987	492	8	47:6946–6961	47:6946–6961	NUM
ejpam-5987	492	9	,	,	PUNCT
ejpam-5987	492	10	2024	2024	NUM
ejpam-5987	492	11	.	.	PUNCT
ejpam-5987	493	1	[	[	X
ejpam-5987	493	2	37	37	NUM
ejpam-5987	493	3	]	]	X
ejpam-5987	493	4	l	l	PROPN
ejpam-5987	493	5	lv	lv	PROPN
ejpam-5987	493	6	and	and	CCONJ
ejpam-5987	493	7	y	y	PROPN
ejpam-5987	493	8	shang	shang	PROPN
ejpam-5987	493	9	.	.	PUNCT
ejpam-5987	494	1	abundant	abundant	ADJ
ejpam-5987	494	2	new	new	ADJ
ejpam-5987	494	3	non	non	ADJ
ejpam-5987	494	4	-	-	ADJ
ejpam-5987	494	5	travelling	travelling	ADJ
ejpam-5987	494	6	wave	wave	NOUN
ejpam-5987	494	7	solutions	solution	NOUN
ejpam-5987	494	8	for	for	ADP
ejpam-5987	494	9	the	the	DET
ejpam-5987	494	10	(	(	PUNCT
ejpam-5987	494	11	3	3	NUM
ejpam-5987	494	12	+	+	NOUN
ejpam-5987	494	13	1)dimensional	1)dimensional	ADJ
ejpam-5987	494	14	potential	potential	ADJ
ejpam-5987	494	15	-	-	PUNCT
ejpam-5987	494	16	ytsf	ytsf	NOUN
ejpam-5987	494	17	equation	equation	NOUN
ejpam-5987	494	18	.	.	PUNCT
ejpam-5987	495	1	applied	apply	VERB
ejpam-5987	495	2	mathematics	mathematics	NOUN
ejpam-5987	495	3	letters	letter	NOUN
ejpam-5987	495	4	,	,	PUNCT
ejpam-5987	495	5	107:106456	107:106456	NUM
ejpam-5987	495	6	,	,	PUNCT
ejpam-5987	495	7	2020	2020	NUM
ejpam-5987	495	8	.	.	PUNCT
ejpam-5987	496	1	[	[	X
ejpam-5987	496	2	38	38	NUM
ejpam-5987	496	3	]	]	X
ejpam-5987	496	4	y	y	PROPN
ejpam-5987	496	5	shang	shang	PROPN
ejpam-5987	496	6	.	.	PUNCT
ejpam-5987	497	1	abundant	abundant	ADJ
ejpam-5987	497	2	explicit	explicit	ADJ
ejpam-5987	497	3	non	non	ADJ
ejpam-5987	497	4	-	-	ADJ
ejpam-5987	497	5	travelling	travelling	ADJ
ejpam-5987	497	6	wave	wave	NOUN
ejpam-5987	497	7	solutions	solution	NOUN
ejpam-5987	497	8	for	for	ADP
ejpam-5987	497	9	the	the	DET
ejpam-5987	497	10	(	(	PUNCT
ejpam-5987	497	11	2	2	NUM
ejpam-5987	497	12	+	+	NOUN
ejpam-5987	497	13	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	497	14	breaking	break	VERB
ejpam-5987	497	15	soliton	soliton	NOUN
ejpam-5987	497	16	equation	equation	NOUN
ejpam-5987	497	17	.	.	PUNCT
ejpam-5987	498	1	applied	apply	VERB
ejpam-5987	498	2	mathematics	mathematics	NOUN
ejpam-5987	498	3	letters	letter	NOUN
ejpam-5987	498	4	,	,	PUNCT
ejpam-5987	498	5	131:108029	131:108029	NUM
ejpam-5987	498	6	,	,	PUNCT
ejpam-5987	498	7	2022	2022	NUM
ejpam-5987	498	8	.	.	PUNCT
ejpam-5987	499	1	[	[	X
ejpam-5987	499	2	39	39	NUM
ejpam-5987	499	3	]	]	X
ejpam-5987	499	4	y	y	PROPN
ejpam-5987	499	5	xu	xu	PROPN
ejpam-5987	499	6	,	,	PUNCT
ejpam-5987	499	7	x	x	PROPN
ejpam-5987	499	8	zheng	zheng	PROPN
ejpam-5987	499	9	,	,	PUNCT
ejpam-5987	499	10	and	and	CCONJ
ejpam-5987	499	11	j	j	PROPN
ejpam-5987	499	12	xin	xin	PROPN
ejpam-5987	499	13	.	.	PUNCT
ejpam-5987	500	1	new	new	ADJ
ejpam-5987	500	2	non	non	ADJ
ejpam-5987	500	3	-	-	ADJ
ejpam-5987	500	4	travelling	travelling	ADJ
ejpam-5987	500	5	wave	wave	NOUN
ejpam-5987	500	6	solutions	solution	NOUN
ejpam-5987	500	7	for	for	ADP
ejpam-5987	500	8	the	the	DET
ejpam-5987	500	9	(	(	PUNCT
ejpam-5987	500	10	2	2	NUM
ejpam-5987	500	11	+	+	ADJ
ejpam-5987	500	12	1)dimensional	1)dimensional	ADJ
ejpam-5987	500	13	variable	variable	ADJ
ejpam-5987	500	14	coefficients	coefficient	NOUN
ejpam-5987	500	15	date	date	NOUN
ejpam-5987	500	16	-	-	PUNCT
ejpam-5987	500	17	jimbo	jimbo	NOUN
ejpam-5987	500	18	-	-	PUNCT
ejpam-5987	500	19	kashiwara	kashiwara	PROPN
ejpam-5987	500	20	-	-	PUNCT
ejpam-5987	500	21	miwa	miwa	PROPN
ejpam-5987	500	22	equation	equation	NOUN
ejpam-5987	500	23	.	.	PUNCT
ejpam-5987	501	1	chaos	chaos	NOUN
ejpam-5987	501	2	,	,	PUNCT
ejpam-5987	501	3	solitons	soliton	NOUN
ejpam-5987	501	4	&	&	CCONJ
ejpam-5987	501	5	fractals	fractal	NOUN
ejpam-5987	501	6	,	,	PUNCT
ejpam-5987	501	7	155:111661	155:111661	NUM
ejpam-5987	501	8	,	,	PUNCT
ejpam-5987	501	9	2022	2022	NUM
ejpam-5987	501	10	.	.	PUNCT
ejpam-5987	502	1	[	[	X
ejpam-5987	502	2	40	40	NUM
ejpam-5987	502	3	]	]	PUNCT
ejpam-5987	502	4	x	x	X
ejpam-5987	502	5	zheng	zheng	PROPN
ejpam-5987	502	6	,	,	PUNCT
ejpam-5987	502	7	l	l	PROPN
ejpam-5987	502	8	zhao	zhao	PROPN
ejpam-5987	502	9	,	,	PUNCT
ejpam-5987	502	10	and	and	CCONJ
ejpam-5987	502	11	y	y	PROPN
ejpam-5987	502	12	xu	xu	PROPN
ejpam-5987	502	13	.	.	PUNCT
ejpam-5987	503	1	a	a	DET
ejpam-5987	503	2	new	new	ADJ
ejpam-5987	503	3	composite	composite	ADJ
ejpam-5987	503	4	technique	technique	NOUN
ejpam-5987	503	5	to	to	PART
ejpam-5987	503	6	obtain	obtain	VERB
ejpam-5987	503	7	non	non	ADJ
ejpam-5987	503	8	-	-	ADJ
ejpam-5987	503	9	travelling	travelling	ADJ
ejpam-5987	503	10	wave	wave	NOUN
ejpam-5987	503	11	solutions	solution	NOUN
ejpam-5987	503	12	of	of	ADP
ejpam-5987	503	13	the	the	DET
ejpam-5987	503	14	(	(	PUNCT
ejpam-5987	503	15	2	2	NUM
ejpam-5987	503	16	+	+	NOUN
ejpam-5987	503	17	1)-dimensional	1)-dimensional	ADJ
ejpam-5987	503	18	extended	extended	ADJ
ejpam-5987	503	19	variable	variable	ADJ
ejpam-5987	503	20	coefficients	coefficient	NOUN
ejpam-5987	503	21	bogoyavlenskii	bogoyavlenskii	ADJ
ejpam-5987	503	22	–	–	PUNCT
ejpam-5987	503	23	s.	s.	PROPN
ejpam-5987	503	24	a.	a.	PROPN
ejpam-5987	503	25	m.	m.	PROPN
ejpam-5987	503	26	alsallami	alsallami	PROPN
ejpam-5987	503	27	,	,	PUNCT
ejpam-5987	503	28	m.	m.	NOUN
ejpam-5987	503	29	alkinidri	alkinidri	PROPN
ejpam-5987	503	30	/	/	SYM
ejpam-5987	503	31	eur	eur	PROPN
ejpam-5987	503	32	.	.	PUNCT
ejpam-5987	504	1	j.	j.	PROPN
ejpam-5987	504	2	pure	pure	PROPN
ejpam-5987	504	3	appl	appl	PROPN
ejpam-5987	504	4	.	.	PROPN
ejpam-5987	504	5	math	math	PROPN
ejpam-5987	504	6	,	,	PUNCT
ejpam-5987	504	7	18	18	NUM
ejpam-5987	504	8	(	(	PUNCT
ejpam-5987	504	9	2	2	NUM
ejpam-5987	504	10	)	)	PUNCT
ejpam-5987	504	11	(	(	PUNCT
ejpam-5987	504	12	2025	2025	NUM
ejpam-5987	504	13	)	)	PUNCT
ejpam-5987	504	14	,	,	PUNCT
ejpam-5987	504	15	5987	5987	NUM
ejpam-5987	504	16	22	22	NUM
ejpam-5987	504	17	of	of	ADP
ejpam-5987	504	18	22	22	NUM
ejpam-5987	504	19	kadomtsev	kadomtsev	ADJ
ejpam-5987	504	20	–	–	PUNCT
ejpam-5987	504	21	petviashvili	petviashvili	NOUN
ejpam-5987	504	22	equation	equation	NOUN
ejpam-5987	504	23	.	.	PUNCT
ejpam-5987	505	1	qualitative	qualitative	ADJ
ejpam-5987	505	2	theory	theory	NOUN
ejpam-5987	505	3	of	of	ADP
ejpam-5987	505	4	dynamical	dynamical	ADJ
ejpam-5987	505	5	systems	system	NOUN
ejpam-5987	505	6	,	,	PUNCT
ejpam-5987	505	7	22:83	22:83	NUM
ejpam-5987	505	8	,	,	PUNCT
ejpam-5987	505	9	2023	2023	NUM
ejpam-5987	505	10	.	.	PUNCT
ejpam-5987	506	1	[	[	X
ejpam-5987	506	2	41	41	NUM
ejpam-5987	506	3	]	]	X
ejpam-5987	506	4	b	b	X
ejpam-5987	506	5	ghanbari	ghanbari	NOUN
ejpam-5987	506	6	.	.	PUNCT
ejpam-5987	507	1	new	new	ADJ
ejpam-5987	507	2	analytical	analytical	ADJ
ejpam-5987	507	3	solutions	solution	NOUN
ejpam-5987	507	4	for	for	ADP
ejpam-5987	507	5	the	the	DET
ejpam-5987	507	6	oskolkov	oskolkov	ADJ
ejpam-5987	507	7	-	-	PUNCT
ejpam-5987	507	8	type	type	NOUN
ejpam-5987	507	9	equations	equation	NOUN
ejpam-5987	507	10	in	in	ADP
ejpam-5987	507	11	fluid	fluid	ADJ
ejpam-5987	507	12	dynamics	dynamic	NOUN
ejpam-5987	507	13	via	via	ADP
ejpam-5987	507	14	a	a	DET
ejpam-5987	507	15	modified	modify	VERB
ejpam-5987	507	16	methodology	methodology	NOUN
ejpam-5987	507	17	.	.	PUNCT
ejpam-5987	508	1	results	result	NOUN
ejpam-5987	508	2	in	in	ADP
ejpam-5987	508	3	physics	physics	NOUN
ejpam-5987	508	4	,	,	PUNCT
ejpam-5987	508	5	28:104610	28:104610	NUM
ejpam-5987	508	6	,	,	PUNCT
ejpam-5987	508	7	2021	2021	NUM
ejpam-5987	508	8	.	.	PUNCT