id	sid	tid	token	lemma	pos
cana-6100	1	1	communications	communication	NOUN
cana-6100	1	2	on	on	ADP
cana-6100	1	3	applied	apply	VERB
cana-6100	1	4	nonlinear	nonlinear	ADJ
cana-6100	1	5	analysis	analysis	NOUN
cana-6100	1	6	issn	issn	NOUN
cana-6100	1	7	:	:	PUNCT
cana-6100	1	8	1074	1074	NUM
cana-6100	1	9	-	-	PUNCT
cana-6100	1	10	133x	133x	NUM
cana-6100	1	11	vol	vol	VERB
cana-6100	1	12	32	32	NUM
cana-6100	1	13	no	no	NOUN
cana-6100	1	14	.	.	PUNCT
cana-6100	2	1	10s	10	NOUN
cana-6100	2	2	(	(	PUNCT
cana-6100	2	3	2025	2025	NUM
cana-6100	2	4	)	)	PUNCT
cana-6100	2	5	3374	3374	NUM
cana-6100	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	3	1	the	the	DET
cana-6100	3	2	nonlinear	nonlinear	ADJ
cana-6100	3	3	schrödinger	schrödinger	ADJ
cana-6100	3	4	equation	equation	NOUN
cana-6100	3	5	derived	derive	VERB
cana-6100	3	6	from	from	ADP
cana-6100	3	7	the	the	DET
cana-6100	3	8	higher	high	ADJ
cana-6100	3	9	order	order	NOUN
cana-6100	3	10	kaup	kaup	NOUN
cana-6100	3	11	–	–	PUNCT
cana-6100	3	12	kupershmidt	kupershmidt	ADJ
cana-6100	3	13	(	(	PUNCT
cana-6100	3	14	kk	kk	NOUN
cana-6100	3	15	)	)	PUNCT
cana-6100	3	16	equation	equation	NOUN
cana-6100	3	17	using	use	VERB
cana-6100	3	18	multiple	multiple	ADJ
cana-6100	3	19	scales	scale	NOUN
cana-6100	3	20	method	method	PROPN
cana-6100	3	21	murat	murat	PROPN
cana-6100	3	22	koparan	koparan	PROPN
cana-6100	3	23	department	department	PROPN
cana-6100	3	24	of	of	ADP
cana-6100	3	25	mathematics	mathematics	PROPN
cana-6100	3	26	and	and	CCONJ
cana-6100	3	27	science	science	NOUN
cana-6100	3	28	education	education	NOUN
cana-6100	3	29	,	,	PUNCT
cana-6100	3	30	anadolu	anadolu	PROPN
cana-6100	3	31	university	university	PROPN
cana-6100	3	32	faculty	faculty	NOUN
cana-6100	3	33	of	of	ADP
cana-6100	3	34	education	education	NOUN
cana-6100	3	35	,	,	PUNCT
cana-6100	3	36	mathematics	mathematics	PROPN
cana-6100	3	37	education	education	NOUN
cana-6100	3	38	division	division	NOUN
cana-6100	3	39	,	,	PUNCT
cana-6100	3	40	yunusemre	yunusemre	NOUN
cana-6100	3	41	campus	campus	NOUN
cana-6100	3	42	,	,	PUNCT
cana-6100	3	43	26470	26470	NUM
cana-6100	3	44	,	,	PUNCT
cana-6100	3	45	eski¸sehir	eski¸sehir	NOUN
cana-6100	3	46	,	,	PUNCT
cana-6100	3	47	turkey	turkey	NOUN
cana-6100	3	48	e	e	NOUN
cana-6100	3	49	-	-	NOUN
cana-6100	3	50	mail	mail	NOUN
cana-6100	3	51	:	:	PUNCT
cana-6100	3	52	mkoparan@anadolu.edu.tr	mkoparan@anadolu.edu.tr	NOUN
cana-6100	3	53	.	.	PUNCT
cana-6100	4	1	article	article	NOUN
cana-6100	4	2	history	history	NOUN
cana-6100	4	3	:	:	PUNCT
cana-6100	4	4	received	receive	VERB
cana-6100	4	5	:	:	PUNCT
cana-6100	4	6	06	06	NUM
cana-6100	4	7	-	-	SYM
cana-6100	4	8	07	07	NUM
cana-6100	4	9	-	-	PUNCT
cana-6100	4	10	2025	2025	NUM
cana-6100	4	11	revised	revise	VERB
cana-6100	4	12	:	:	PUNCT
cana-6100	4	13	15	15	NUM
cana-6100	4	14	-	-	SYM
cana-6100	4	15	08	08	NUM
cana-6100	4	16	-	-	PUNCT
cana-6100	4	17	2025	2025	NUM
cana-6100	4	18	accepted	accept	VERB
cana-6100	4	19	:	:	PUNCT
cana-6100	4	20	30	30	NUM
cana-6100	4	21	-	-	SYM
cana-6100	4	22	09	09	NUM
cana-6100	4	23	-	-	PUNCT
cana-6100	4	24	2025	2025	NUM
cana-6100	4	25	abstract	abstract	NOUN
cana-6100	4	26	:	:	PUNCT
cana-6100	4	27	the	the	DET
cana-6100	4	28	mathematical	mathematical	ADJ
cana-6100	4	29	models	model	NOUN
cana-6100	4	30	of	of	ADP
cana-6100	4	31	problems	problem	NOUN
cana-6100	4	32	that	that	PRON
cana-6100	4	33	arise	arise	VERB
cana-6100	4	34	in	in	ADP
cana-6100	4	35	many	many	ADJ
cana-6100	4	36	branches	branch	NOUN
cana-6100	4	37	of	of	ADP
cana-6100	4	38	science	science	NOUN
cana-6100	4	39	are	be	AUX
cana-6100	4	40	nonlinear	nonlinear	ADJ
cana-6100	4	41	equations	equation	NOUN
cana-6100	4	42	of	of	ADP
cana-6100	4	43	evolution	evolution	NOUN
cana-6100	4	44	(	(	PUNCT
cana-6100	4	45	nlee	nlee	PROPN
cana-6100	4	46	)	)	PUNCT
cana-6100	4	47	.	.	PUNCT
cana-6100	5	1	for	for	ADP
cana-6100	5	2	this	this	DET
cana-6100	5	3	reason	reason	NOUN
cana-6100	5	4	,	,	PUNCT
cana-6100	5	5	nonlinear	nonlinear	ADJ
cana-6100	5	6	equations	equation	NOUN
cana-6100	5	7	of	of	ADP
cana-6100	5	8	evolution	evolution	NOUN
cana-6100	5	9	have	have	AUX
cana-6100	5	10	served	serve	VERB
cana-6100	5	11	as	as	ADP
cana-6100	5	12	a	a	DET
cana-6100	5	13	language	language	NOUN
cana-6100	5	14	in	in	ADP
cana-6100	5	15	formulating	formulate	VERB
cana-6100	5	16	many	many	ADJ
cana-6100	5	17	engineering	engineering	NOUN
cana-6100	5	18	and	and	CCONJ
cana-6100	5	19	scientific	scientific	ADJ
cana-6100	5	20	problems	problem	NOUN
cana-6100	5	21	.	.	PUNCT
cana-6100	6	1	although	although	SCONJ
cana-6100	6	2	the	the	DET
cana-6100	6	3	origin	origin	NOUN
cana-6100	6	4	of	of	ADP
cana-6100	6	5	nonlinear	nonlinear	ADJ
cana-6100	6	6	evolution	evolution	NOUN
cana-6100	6	7	equations	equation	NOUN
cana-6100	6	8	dates	date	VERB
cana-6100	6	9	back	back	ADV
cana-6100	6	10	to	to	ADP
cana-6100	6	11	ancient	ancient	ADJ
cana-6100	6	12	times	time	NOUN
cana-6100	6	13	,	,	PUNCT
cana-6100	6	14	significant	significant	ADJ
cana-6100	6	15	developments	development	NOUN
cana-6100	6	16	have	have	AUX
cana-6100	6	17	been	be	AUX
cana-6100	6	18	made	make	VERB
cana-6100	6	19	in	in	ADP
cana-6100	6	20	these	these	DET
cana-6100	6	21	equations	equation	NOUN
cana-6100	6	22	up	up	ADP
cana-6100	6	23	to	to	ADP
cana-6100	6	24	the	the	DET
cana-6100	6	25	present	present	ADJ
cana-6100	6	26	day	day	NOUN
cana-6100	6	27	.	.	PUNCT
cana-6100	7	1	the	the	DET
cana-6100	7	2	main	main	ADJ
cana-6100	7	3	reason	reason	NOUN
cana-6100	7	4	for	for	ADP
cana-6100	7	5	this	this	DET
cana-6100	7	6	situation	situation	NOUN
cana-6100	7	7	is	be	AUX
cana-6100	7	8	that	that	SCONJ
cana-6100	7	9	nonlinear	nonlinear	ADJ
cana-6100	7	10	equations	equation	NOUN
cana-6100	7	11	of	of	ADP
cana-6100	7	12	evolution	evolution	NOUN
cana-6100	7	13	involve	involve	VERB
cana-6100	7	14	the	the	DET
cana-6100	7	15	problem	problem	NOUN
cana-6100	7	16	of	of	ADP
cana-6100	7	17	nonlinear	nonlinear	ADJ
cana-6100	7	18	wave	wave	NOUN
cana-6100	7	19	propagation	propagation	NOUN
cana-6100	7	20	.	.	PUNCT
cana-6100	8	1	therefore	therefore	ADV
cana-6100	8	2	,	,	PUNCT
cana-6100	8	3	many	many	ADJ
cana-6100	8	4	different	different	ADJ
cana-6100	8	5	and	and	CCONJ
cana-6100	8	6	effective	effective	ADJ
cana-6100	8	7	techniques	technique	NOUN
cana-6100	8	8	have	have	AUX
cana-6100	8	9	been	be	AUX
cana-6100	8	10	developed	develop	VERB
cana-6100	8	11	regarding	regard	VERB
cana-6100	8	12	nonlinear	nonlinear	ADJ
cana-6100	8	13	evolution	evolution	NOUN
cana-6100	8	14	equations	equation	NOUN
cana-6100	8	15	and	and	CCONJ
cana-6100	8	16	solution	solution	NOUN
cana-6100	8	17	methods	method	NOUN
cana-6100	8	18	.	.	PUNCT
cana-6100	9	1	studies	study	NOUN
cana-6100	9	2	conducted	conduct	VERB
cana-6100	9	3	in	in	ADP
cana-6100	9	4	recent	recent	ADJ
cana-6100	9	5	years	year	NOUN
cana-6100	9	6	show	show	VERB
cana-6100	9	7	that	that	SCONJ
cana-6100	9	8	evolution	evolution	NOUN
cana-6100	9	9	equations	equation	NOUN
cana-6100	9	10	are	be	AUX
cana-6100	9	11	becoming	become	VERB
cana-6100	9	12	increasingly	increasingly	ADV
cana-6100	9	13	important	important	ADJ
cana-6100	9	14	in	in	ADP
cana-6100	9	15	applied	apply	VERB
cana-6100	9	16	mathematics	mathematic	NOUN
cana-6100	9	17	.	.	PUNCT
cana-6100	10	1	this	this	DET
cana-6100	10	2	study	study	NOUN
cana-6100	10	3	is	be	AUX
cana-6100	10	4	about	about	ADP
cana-6100	10	5	the	the	DET
cana-6100	10	6	multiple	multiple	ADJ
cana-6100	10	7	scales	scale	NOUN
cana-6100	10	8	methods	method	NOUN
cana-6100	10	9	,	,	PUNCT
cana-6100	10	10	known	know	VERB
cana-6100	10	11	as	as	ADP
cana-6100	10	12	the	the	DET
cana-6100	10	13	perturbation	perturbation	NOUN
cana-6100	10	14	method	method	NOUN
cana-6100	10	15	,	,	PUNCT
cana-6100	10	16	for	for	ADP
cana-6100	10	17	nonlinear	nonlinear	ADJ
cana-6100	10	18	equations	equation	NOUN
cana-6100	10	19	of	of	ADP
cana-6100	10	20	evolution	evolution	NOUN
cana-6100	10	21	(	(	PUNCT
cana-6100	10	22	nlee	nlee	PROPN
cana-6100	10	23	)	)	PUNCT
cana-6100	10	24	.	.	PUNCT
cana-6100	11	1	in	in	ADP
cana-6100	11	2	this	this	DET
cana-6100	11	3	report	report	NOUN
cana-6100	11	4	,	,	PUNCT
cana-6100	11	5	the	the	DET
cana-6100	11	6	multiple	multiple	ADJ
cana-6100	11	7	scales	scale	NOUN
cana-6100	11	8	method	method	NOUN
cana-6100	11	9	was	be	AUX
cana-6100	11	10	applied	apply	VERB
cana-6100	11	11	for	for	ADP
cana-6100	11	12	the	the	DET
cana-6100	11	13	analysis	analysis	NOUN
cana-6100	11	14	of	of	ADP
cana-6100	11	15	the	the	DET
cana-6100	11	16	(	(	PUNCT
cana-6100	11	17	1	1	NUM
cana-6100	11	18	+	+	NUM
cana-6100	11	19	1	1	NUM
cana-6100	11	20	)	)	PUNCT
cana-6100	11	21	dimensional	dimensional	ADJ
cana-6100	11	22	higher	high	ADJ
cana-6100	11	23	-	-	PUNCT
cana-6100	11	24	order	order	NOUN
cana-6100	11	25	nonlinear	nonlinear	ADJ
cana-6100	11	26	kaup	kaup	PROPN
cana-6100	11	27	–	–	PUNCT
cana-6100	11	28	kupershmidt	kupershmidt	ADJ
cana-6100	11	29	(	(	PUNCT
cana-6100	11	30	kk	kk	PROPN
cana-6100	11	31	)	)	PUNCT
cana-6100	11	32	equations	equation	NOUN
cana-6100	11	33	,	,	PUNCT
cana-6100	11	34	and	and	CCONJ
cana-6100	11	35	the	the	DET
cana-6100	11	36	nonlinear	nonlinear	ADJ
cana-6100	11	37	schrödinger	schrödinger	NOUN
cana-6100	11	38	(	(	PUNCT
cana-6100	11	39	nls	nls	NOUN
cana-6100	11	40	)	)	PUNCT
cana-6100	11	41	equation	equation	NOUN
cana-6100	11	42	was	be	AUX
cana-6100	11	43	obtained	obtain	VERB
cana-6100	11	44	.	.	PUNCT
cana-6100	12	1	also	also	ADV
cana-6100	12	2	,	,	PUNCT
cana-6100	12	3	the	the	DET
cana-6100	12	4	approximate	approximate	ADJ
cana-6100	12	5	solution	solution	NOUN
cana-6100	12	6	of	of	ADP
cana-6100	12	7	the	the	DET
cana-6100	12	8	(	(	PUNCT
cana-6100	12	9	1	1	NUM
cana-6100	12	10	+	+	NUM
cana-6100	12	11	1	1	NUM
cana-6100	12	12	)	)	PUNCT
cana-6100	12	13	dimensional	dimensional	ADJ
cana-6100	12	14	higher	high	ADJ
cana-6100	12	15	-	-	PUNCT
cana-6100	12	16	order	order	NOUN
cana-6100	12	17	nonlinear	nonlinear	ADJ
cana-6100	12	18	kaup	kaup	PROPN
cana-6100	12	19	–	–	PUNCT
cana-6100	12	20	kupershmidt	kupershmidt	ADJ
cana-6100	12	21	(	(	PUNCT
cana-6100	12	22	kk	kk	NOUN
cana-6100	12	23	)	)	PUNCT
cana-6100	12	24	equation	equation	NOUN
cana-6100	12	25	is	be	AUX
cana-6100	12	26	obtained	obtain	VERB
cana-6100	12	27	.	.	PUNCT
cana-6100	13	1	keywords	keyword	NOUN
cana-6100	13	2	:	:	PUNCT
cana-6100	13	3	multiple	multiple	ADJ
cana-6100	13	4	scales	scale	NOUN
cana-6100	13	5	method	method	NOUN
cana-6100	13	6	,	,	PUNCT
cana-6100	13	7	kdv	kdv	NOUN
cana-6100	13	8	equation	equation	NOUN
cana-6100	13	9	,	,	PUNCT
cana-6100	13	10	nls	nls	NOUN
cana-6100	13	11	type	type	NOUN
cana-6100	13	12	equations	equation	NOUN
cana-6100	13	13	,	,	PUNCT
cana-6100	13	14	kaup	kaup	PROPN
cana-6100	13	15	–	–	PUNCT
cana-6100	13	16	kupershmidt	kupershmidt	ADJ
cana-6100	13	17	(	(	PUNCT
cana-6100	13	18	kk	kk	NOUN
cana-6100	13	19	)	)	PUNCT
cana-6100	13	20	equation	equation	NOUN
cana-6100	13	21	.	.	PUNCT
cana-6100	14	1	1	1	X
cana-6100	14	2	.	.	X
cana-6100	14	3	introduction	introduction	NOUN
cana-6100	14	4	nonlinear	nonlinear	PROPN
cana-6100	14	5	evolution	evolution	PROPN
cana-6100	14	6	equations	equation	NOUN
cana-6100	14	7	(	(	PUNCT
cana-6100	14	8	nlee	nlee	PROPN
cana-6100	14	9	)	)	PUNCT
cana-6100	15	1	[	[	X
cana-6100	15	2	1	1	NUM
cana-6100	15	3	,	,	PUNCT
cana-6100	15	4	2	2	NUM
cana-6100	15	5	,	,	PUNCT
cana-6100	15	6	3	3	NUM
cana-6100	15	7	]	]	PUNCT
cana-6100	15	8	play	play	VERB
cana-6100	15	9	a	a	DET
cana-6100	15	10	significant	significant	ADJ
cana-6100	15	11	role	role	NOUN
cana-6100	15	12	in	in	ADP
cana-6100	15	13	fields	field	NOUN
cana-6100	15	14	such	such	ADJ
cana-6100	15	15	as	as	ADP
cana-6100	15	16	optics	optic	NOUN
cana-6100	15	17	,	,	PUNCT
cana-6100	15	18	fluid	fluid	ADJ
cana-6100	15	19	physics	physic	NOUN
cana-6100	15	20	,	,	PUNCT
cana-6100	15	21	plasma	plasma	NOUN
cana-6100	15	22	physics	physics	NOUN
cana-6100	15	23	,	,	PUNCT
cana-6100	15	24	statistical	statistical	ADJ
cana-6100	15	25	physics	physics	NOUN
cana-6100	15	26	,	,	PUNCT
cana-6100	15	27	biology	biology	NOUN
cana-6100	15	28	,	,	PUNCT
cana-6100	15	29	chemistry	chemistry	NOUN
cana-6100	15	30	,	,	PUNCT
cana-6100	15	31	communication	communication	NOUN
cana-6100	15	32	,	,	PUNCT
cana-6100	15	33	and	and	CCONJ
cana-6100	15	34	engineering	engineering	NOUN
cana-6100	15	35	technology	technology	NOUN
cana-6100	15	36	.	.	PUNCT
cana-6100	16	1	therefore	therefore	ADV
cana-6100	16	2	,	,	PUNCT
cana-6100	16	3	the	the	DET
cana-6100	16	4	study	study	NOUN
cana-6100	16	5	of	of	ADP
cana-6100	16	6	(	(	PUNCT
cana-6100	16	7	nlee	nlee	PROPN
cana-6100	16	8	)	)	PUNCT
cana-6100	16	9	has	have	AUX
cana-6100	16	10	become	become	VERB
cana-6100	16	11	a	a	DET
cana-6100	16	12	critical	critical	ADJ
cana-6100	16	13	research	research	NOUN
cana-6100	16	14	topic	topic	NOUN
cana-6100	16	15	.	.	PUNCT
cana-6100	17	1	mailto:mkoparan@anadolu.edu.tr	mailto:mkoparan@anadolu.edu.tr	PROPN
cana-6100	17	2	communications	communication	NOUN
cana-6100	17	3	on	on	ADP
cana-6100	17	4	applied	apply	VERB
cana-6100	17	5	nonlinear	nonlinear	ADJ
cana-6100	17	6	analysis	analysis	NOUN
cana-6100	17	7	issn	issn	NOUN
cana-6100	17	8	:	:	PUNCT
cana-6100	17	9	1074	1074	NUM
cana-6100	17	10	-	-	PUNCT
cana-6100	17	11	133x	133x	NUM
cana-6100	17	12	vol	vol	VERB
cana-6100	17	13	32	32	NUM
cana-6100	17	14	no	no	NOUN
cana-6100	17	15	.	.	PUNCT
cana-6100	18	1	10s	10	NOUN
cana-6100	18	2	(	(	PUNCT
cana-6100	18	3	2025	2025	NUM
cana-6100	18	4	)	)	PUNCT
cana-6100	18	5	3375	3375	NUM
cana-6100	18	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	19	1	the	the	DET
cana-6100	19	2	current	current	ADJ
cana-6100	19	3	research	research	NOUN
cana-6100	19	4	on	on	ADP
cana-6100	19	5	the	the	DET
cana-6100	19	6	nonlinear	nonlinear	ADJ
cana-6100	19	7	evolution	evolution	NOUN
cana-6100	19	8	equations	equation	NOUN
cana-6100	19	9	(	(	PUNCT
cana-6100	19	10	nlee	nlee	PROPN
cana-6100	19	11	)	)	PUNCT
cana-6100	19	12	mainly	mainly	ADV
cana-6100	19	13	includes	include	VERB
cana-6100	19	14	the	the	DET
cana-6100	19	15	existence	existence	NOUN
cana-6100	19	16	of	of	ADP
cana-6100	19	17	solutions	solution	NOUN
cana-6100	19	18	[	[	X
cana-6100	19	19	4	4	NUM
cana-6100	19	20	]	]	PUNCT
cana-6100	19	21	,	,	PUNCT
cana-6100	19	22	stability	stability	NOUN
cana-6100	19	23	of	of	ADP
cana-6100	19	24	solutions	solution	NOUN
cana-6100	19	25	[	[	X
cana-6100	19	26	5	5	NUM
cana-6100	19	27	]	]	PUNCT
cana-6100	19	28	,	,	PUNCT
cana-6100	19	29	uniqueness	uniqueness	NOUN
cana-6100	19	30	of	of	ADP
cana-6100	19	31	solutions	solution	NOUN
cana-6100	19	32	[	[	X
cana-6100	19	33	6	6	NUM
cana-6100	19	34	]	]	PUNCT
cana-6100	19	35	,	,	PUNCT
cana-6100	19	36	numerical	numerical	ADJ
cana-6100	19	37	solutions	solution	NOUN
cana-6100	19	38	[	[	X
cana-6100	19	39	7	7	NUM
cana-6100	19	40	]	]	PUNCT
cana-6100	19	41	,	,	PUNCT
cana-6100	19	42	and	and	CCONJ
cana-6100	19	43	exact	exact	ADJ
cana-6100	19	44	solutions	solution	NOUN
cana-6100	19	45	[	[	X
cana-6100	19	46	8	8	NUM
cana-6100	19	47	]	]	PUNCT
cana-6100	19	48	.	.	PUNCT
cana-6100	20	1	based	base	VERB
cana-6100	20	2	on	on	ADP
cana-6100	20	3	the	the	DET
cana-6100	20	4	existing	exist	VERB
cana-6100	20	5	practical	practical	ADJ
cana-6100	20	6	problems	problem	NOUN
cana-6100	20	7	in	in	ADP
cana-6100	20	8	the	the	DET
cana-6100	20	9	real	real	ADJ
cana-6100	20	10	world	world	NOUN
cana-6100	20	11	,	,	PUNCT
cana-6100	20	12	obtaining	obtain	VERB
cana-6100	20	13	analytical	analytical	ADJ
cana-6100	20	14	solutions	solution	NOUN
cana-6100	20	15	for	for	ADP
cana-6100	20	16	such	such	ADJ
cana-6100	20	17	(	(	PUNCT
cana-6100	20	18	nlee	nlee	NOUN
cana-6100	20	19	)	)	PUNCT
cana-6100	20	20	is	be	AUX
cana-6100	20	21	an	an	DET
cana-6100	20	22	urgent	urgent	ADJ
cana-6100	20	23	practical	practical	ADJ
cana-6100	20	24	problem	problem	NOUN
cana-6100	20	25	that	that	PRON
cana-6100	20	26	needs	need	VERB
cana-6100	20	27	to	to	PART
cana-6100	20	28	be	be	AUX
cana-6100	20	29	solved	solve	VERB
cana-6100	20	30	.	.	PUNCT
cana-6100	21	1	since	since	SCONJ
cana-6100	21	2	data	datum	NOUN
cana-6100	21	3	of	of	ADP
cana-6100	21	4	their	their	PRON
cana-6100	21	5	exact	exact	ADJ
cana-6100	21	6	solutions	solution	NOUN
cana-6100	21	7	facilitates	facilitate	VERB
cana-6100	21	8	the	the	DET
cana-6100	21	9	confirmation	confirmation	NOUN
cana-6100	21	10	of	of	ADP
cana-6100	21	11	numerical	numerical	ADJ
cana-6100	21	12	solvers	solver	NOUN
cana-6100	21	13	and	and	CCONJ
cana-6100	21	14	supports	support	NOUN
cana-6100	21	15	in	in	ADP
cana-6100	21	16	decision	decision	NOUN
cana-6100	21	17	-	-	PUNCT
cana-6100	21	18	making	make	VERB
cana-6100	21	19	analysis	analysis	NOUN
cana-6100	21	20	of	of	ADP
cana-6100	21	21	solutions	solution	NOUN
cana-6100	21	22	,	,	PUNCT
cana-6100	21	23	the	the	DET
cana-6100	21	24	analytical	analytical	ADJ
cana-6100	21	25	study	study	NOUN
cana-6100	21	26	of	of	ADP
cana-6100	21	27	these	these	DET
cana-6100	21	28	(	(	PUNCT
cana-6100	21	29	nlee	nlee	PROPN
cana-6100	21	30	)	)	PUNCT
cana-6100	21	31	is	be	AUX
cana-6100	21	32	significant	significant	ADJ
cana-6100	21	33	.	.	PUNCT
cana-6100	22	1	this	this	PRON
cana-6100	22	2	not	not	PART
cana-6100	22	3	only	only	ADV
cana-6100	22	4	helps	help	VERB
cana-6100	22	5	to	to	PART
cana-6100	22	6	better	well	ADV
cana-6100	22	7	understand	understand	VERB
cana-6100	22	8	the	the	DET
cana-6100	22	9	solutions	solution	NOUN
cana-6100	22	10	but	but	CCONJ
cana-6100	22	11	also	also	ADV
cana-6100	22	12	helps	help	VERB
cana-6100	22	13	us	we	PRON
cana-6100	22	14	to	to	PART
cana-6100	22	15	understand	understand	VERB
cana-6100	22	16	the	the	DET
cana-6100	22	17	phenomenon	phenomenon	NOUN
cana-6100	22	18	they	they	PRON
cana-6100	22	19	describe	describe	VERB
cana-6100	22	20	[	[	X
cana-6100	22	21	9	9	NUM
cana-6100	22	22	,	,	PUNCT
cana-6100	22	23	10	10	NUM
cana-6100	22	24	,	,	PUNCT
cana-6100	22	25	11	11	NUM
cana-6100	22	26	,	,	PUNCT
cana-6100	22	27	12	12	NUM
cana-6100	22	28	,	,	PUNCT
cana-6100	22	29	13	13	NUM
cana-6100	22	30	]	]	PUNCT
cana-6100	22	31	.	.	PUNCT
cana-6100	23	1	the	the	DET
cana-6100	23	2	studies	study	NOUN
cana-6100	23	3	of	of	ADP
cana-6100	23	4	engineering	engineering	NOUN
cana-6100	23	5	and	and	CCONJ
cana-6100	23	6	science	science	NOUN
cana-6100	23	7	demand	demand	NOUN
cana-6100	23	8	visualization	visualization	NOUN
cana-6100	23	9	of	of	ADP
cana-6100	23	10	the	the	DET
cana-6100	23	11	mathematical	mathematical	ADJ
cana-6100	23	12	model	model	NOUN
cana-6100	23	13	for	for	ADP
cana-6100	23	14	real	real	ADJ
cana-6100	23	15	-	-	PUNCT
cana-6100	23	16	life	life	NOUN
cana-6100	23	17	phenomena	phenomenon	NOUN
cana-6100	23	18	and	and	CCONJ
cana-6100	23	19	the	the	DET
cana-6100	23	20	development	development	NOUN
cana-6100	23	21	of	of	ADP
cana-6100	23	22	a	a	DET
cana-6100	23	23	formula	formula	NOUN
cana-6100	23	24	.	.	PUNCT
cana-6100	24	1	numerous	numerous	ADJ
cana-6100	24	2	real	real	ADJ
cana-6100	24	3	-	-	PUNCT
cana-6100	24	4	world	world	NOUN
cana-6100	24	5	problems	problem	NOUN
cana-6100	24	6	are	be	AUX
cana-6100	24	7	modelled	model	VERB
cana-6100	24	8	using	use	VERB
cana-6100	24	9	higher	high	ADJ
cana-6100	24	10	-	-	PUNCT
cana-6100	24	11	order	order	NOUN
cana-6100	24	12	(	(	PUNCT
cana-6100	24	13	nlee	nlee	PROPN
cana-6100	24	14	)	)	PUNCT
cana-6100	24	15	equations	equation	NOUN
cana-6100	24	16	,	,	PUNCT
cana-6100	24	17	either	either	CCONJ
cana-6100	24	18	as	as	ADP
cana-6100	24	19	ordinary	ordinary	ADJ
cana-6100	24	20	or	or	CCONJ
cana-6100	24	21	partial	partial	ADJ
cana-6100	24	22	differential	differential	ADJ
cana-6100	24	23	equations	equation	NOUN
cana-6100	24	24	(	(	PUNCT
cana-6100	24	25	pdes	pde	NOUN
cana-6100	24	26	)	)	PUNCT
cana-6100	24	27	.	.	PUNCT
cana-6100	25	1	for	for	ADP
cana-6100	25	2	instance	instance	NOUN
cana-6100	25	3	,	,	PUNCT
cana-6100	25	4	higher	high	ADJ
cana-6100	25	5	-	-	PUNCT
cana-6100	25	6	order	order	NOUN
cana-6100	25	7	differential	differential	ADJ
cana-6100	25	8	equations	equation	NOUN
cana-6100	25	9	are	be	AUX
cana-6100	25	10	used	use	VERB
cana-6100	25	11	to	to	PART
cana-6100	25	12	examine	examine	VERB
cana-6100	25	13	the	the	DET
cana-6100	25	14	effects	effect	NOUN
cana-6100	25	15	of	of	ADP
cana-6100	25	16	unsafe	unsafe	ADJ
cana-6100	25	17	contact	contact	NOUN
cana-6100	25	18	with	with	ADP
cana-6100	25	19	an	an	DET
cana-6100	25	20	infected	infected	ADJ
cana-6100	25	21	corpse	corpse	NOUN
cana-6100	25	22	by	by	ADP
cana-6100	25	23	the	the	DET
cana-6100	25	24	niv	niv	ADJ
cana-6100	25	25	virus	virus	NOUN
cana-6100	25	26	and	and	CCONJ
cana-6100	25	27	to	to	PART
cana-6100	25	28	study	study	VERB
cana-6100	25	29	the	the	DET
cana-6100	25	30	dynamics	dynamic	NOUN
cana-6100	25	31	of	of	ADP
cana-6100	25	32	an	an	DET
cana-6100	25	33	accelerated	accelerate	VERB
cana-6100	25	34	mass	mass	ADJ
cana-6100	25	35	-	-	PUNCT
cana-6100	25	36	spring	spring	NOUN
cana-6100	25	37	system	system	NOUN
cana-6100	25	38	[	[	X
cana-6100	25	39	14	14	NUM
cana-6100	25	40	,	,	PUNCT
cana-6100	25	41	15	15	NUM
cana-6100	25	42	]	]	PUNCT
cana-6100	25	43	.	.	PUNCT
cana-6100	26	1	they	they	PRON
cana-6100	26	2	are	be	AUX
cana-6100	26	3	also	also	ADV
cana-6100	26	4	employed	employ	VERB
cana-6100	26	5	to	to	PART
cana-6100	26	6	investigate	investigate	VERB
cana-6100	26	7	chaos	chaos	NOUN
cana-6100	26	8	,	,	PUNCT
cana-6100	26	9	bifurcations	bifurcation	NOUN
cana-6100	26	10	,	,	PUNCT
cana-6100	26	11	signal	signal	ADJ
cana-6100	26	12	processing	processing	NOUN
cana-6100	26	13	,	,	PUNCT
cana-6100	26	14	heat	heat	NOUN
cana-6100	26	15	distribution	distribution	NOUN
cana-6100	26	16	,	,	PUNCT
cana-6100	26	17	secure	secure	ADJ
cana-6100	26	18	communications	communication	NOUN
cana-6100	26	19	,	,	PUNCT
cana-6100	26	20	plasma	plasma	NOUN
cana-6100	26	21	physics	physics	NOUN
cana-6100	26	22	,	,	PUNCT
cana-6100	26	23	and	and	CCONJ
cana-6100	26	24	the	the	DET
cana-6100	26	25	behaviour	behaviour	NOUN
cana-6100	26	26	of	of	ADP
cana-6100	26	27	surface	surface	NOUN
cana-6100	26	28	water	water	NOUN
cana-6100	26	29	waves	wave	NOUN
cana-6100	26	30	in	in	ADP
cana-6100	26	31	fluid	fluid	ADJ
cana-6100	26	32	dynamics	dynamic	NOUN
cana-6100	26	33	,	,	PUNCT
cana-6100	26	34	and	and	CCONJ
cana-6100	26	35	describe	describe	VERB
cana-6100	26	36	the	the	DET
cana-6100	26	37	propagation	propagation	NOUN
cana-6100	26	38	of	of	ADP
cana-6100	26	39	electrostatic	electrostatic	ADJ
cana-6100	26	40	waves	wave	NOUN
cana-6100	26	41	in	in	ADP
cana-6100	26	42	plasmas	plasma	NOUN
cana-6100	26	43	[	[	X
cana-6100	26	44	16	16	NUM
cana-6100	26	45	,	,	PUNCT
cana-6100	26	46	17	17	NUM
cana-6100	26	47	,	,	PUNCT
cana-6100	26	48	18	18	NUM
cana-6100	26	49	,	,	PUNCT
cana-6100	26	50	19	19	NUM
cana-6100	26	51	]	]	PUNCT
cana-6100	26	52	.	.	PUNCT
cana-6100	27	1	known	know	VERB
cana-6100	27	2	for	for	ADP
cana-6100	27	3	its	its	PRON
cana-6100	27	4	distinguished	distinguished	ADJ
cana-6100	27	5	role	role	NOUN
cana-6100	27	6	in	in	ADP
cana-6100	27	7	the	the	DET
cana-6100	27	8	development	development	NOUN
cana-6100	27	9	of	of	ADP
cana-6100	27	10	nonlinear	nonlinear	ADJ
cana-6100	27	11	physics	physics	PROPN
cana-6100	27	12	,	,	PUNCT
cana-6100	27	13	the	the	DET
cana-6100	27	14	korteweg	korteweg	NOUN
cana-6100	27	15	-	-	PUNCT
cana-6100	27	16	de	de	PROPN
cana-6100	27	17	vries	vries	PROPN
cana-6100	27	18	(	(	PUNCT
cana-6100	27	19	kdv	kdv	PROPN
cana-6100	27	20	)	)	PUNCT
cana-6100	27	21	equation	equation	NOUN
cana-6100	27	22	has	have	AUX
cana-6100	27	23	been	be	AUX
cana-6100	27	24	derived	derive	VERB
cana-6100	27	25	in	in	ADP
cana-6100	27	26	a	a	DET
cana-6100	27	27	variety	variety	NOUN
cana-6100	27	28	of	of	ADP
cana-6100	27	29	physical	physical	ADJ
cana-6100	27	30	contexts	contexts	NOUN
cana-6100	27	31	.	.	PUNCT
cana-6100	28	1	for	for	ADP
cana-6100	28	2	example	example	NOUN
cana-6100	28	3	,	,	PUNCT
cana-6100	28	4	it	it	PRON
cana-6100	28	5	can	can	AUX
cana-6100	28	6	be	be	AUX
cana-6100	28	7	thought	think	VERB
cana-6100	28	8	of	of	ADP
cana-6100	28	9	as	as	ADP
cana-6100	28	10	modelling	model	VERB
cana-6100	28	11	the	the	DET
cana-6100	28	12	unilateral	unilateral	ADJ
cana-6100	28	13	propagation	propagation	NOUN
cana-6100	28	14	of	of	ADP
cana-6100	28	15	long	long	ADJ
cana-6100	28	16	-	-	PUNCT
cana-6100	28	17	wavelength	wavelength	NOUN
cana-6100	28	18	gravitational	gravitational	ADJ
cana-6100	28	19	waves	wave	NOUN
cana-6100	28	20	of	of	ADP
cana-6100	28	21	small	small	ADJ
cana-6100	28	22	amplitude	amplitude	NOUN
cana-6100	28	23	in	in	ADP
cana-6100	28	24	a	a	DET
cana-6100	28	25	shallow	shallow	ADJ
cana-6100	28	26	channel	channel	NOUN
cana-6100	28	27	.	.	PUNCT
cana-6100	29	1	in	in	ADP
cana-6100	29	2	any	any	DET
cana-6100	29	3	case	case	NOUN
cana-6100	29	4	,	,	PUNCT
cana-6100	29	5	the	the	DET
cana-6100	29	6	korteweg	korteweg	NOUN
cana-6100	29	7	-	-	PUNCT
cana-6100	29	8	de	de	NOUN
cana-6100	29	9	vries	vries	PROPN
cana-6100	29	10	equation	equation	NOUN
cana-6100	29	11	is	be	AUX
cana-6100	29	12	obtained	obtain	VERB
cana-6100	29	13	with	with	ADP
cana-6100	29	14	a	a	DET
cana-6100	29	15	certain	certain	ADJ
cana-6100	29	16	degree	degree	NOUN
cana-6100	29	17	of	of	ADP
cana-6100	29	18	approximation	approximation	NOUN
cana-6100	29	19	and	and	CCONJ
cana-6100	29	20	,	,	PUNCT
cana-6100	29	21	therefore	therefore	ADV
cana-6100	29	22	,	,	PUNCT
cana-6100	29	23	can	can	AUX
cana-6100	29	24	not	not	PART
cana-6100	29	25	be	be	AUX
cana-6100	29	26	considered	consider	VERB
cana-6100	29	27	to	to	PART
cana-6100	29	28	represent	represent	VERB
cana-6100	29	29	physical	physical	ADJ
cana-6100	29	30	reality	reality	NOUN
cana-6100	29	31	with	with	ADP
cana-6100	29	32	perfect	perfect	ADJ
cana-6100	29	33	accuracy	accuracy	NOUN
cana-6100	29	34	.	.	PUNCT
cana-6100	30	1	therefore	therefore	ADV
cana-6100	30	2	,	,	PUNCT
cana-6100	30	3	an	an	DET
cana-6100	30	4	important	important	ADJ
cana-6100	30	5	question	question	NOUN
cana-6100	30	6	arises	arise	VERB
cana-6100	30	7	about	about	ADP
cana-6100	30	8	what	what	PRON
cana-6100	30	9	would	would	AUX
cana-6100	30	10	happen	happen	VERB
cana-6100	30	11	to	to	ADP
cana-6100	30	12	the	the	DET
cana-6100	30	13	solutions	solution	NOUN
cana-6100	30	14	of	of	ADP
cana-6100	30	15	korteweg	korteweg	NOUN
cana-6100	30	16	-	-	PUNCT
cana-6100	30	17	de	de	NOUN
cana-6100	30	18	vries	vries	PROPN
cana-6100	30	19	'	'	PART
cana-6100	30	20	equation	equation	NOUN
cana-6100	30	21	when	when	SCONJ
cana-6100	30	22	perturbations	perturbation	NOUN
cana-6100	30	23	from	from	ADP
cana-6100	30	24	neglected	neglect	VERB
cana-6100	30	25	terms	term	NOUN
cana-6100	30	26	in	in	ADP
cana-6100	30	27	the	the	DET
cana-6100	30	28	derivation	derivation	NOUN
cana-6100	30	29	come	come	VERB
cana-6100	30	30	into	into	ADP
cana-6100	30	31	play	play	NOUN
cana-6100	30	32	.	.	PUNCT
cana-6100	31	1	for	for	ADP
cana-6100	31	2	instance	instance	NOUN
cana-6100	31	3	,	,	PUNCT
cana-6100	31	4	would	would	AUX
cana-6100	31	5	the	the	DET
cana-6100	31	6	perturbed	perturb	VERB
cana-6100	31	7	kortewegde	kortewegde	NOUN
cana-6100	31	8	vries	vrie	NOUN
cana-6100	31	9	equation	equation	NOUN
cana-6100	31	10	still	still	ADV
cana-6100	31	11	have	have	VERB
cana-6100	31	12	a	a	DET
cana-6100	31	13	well	well	ADV
cana-6100	31	14	-	-	PUNCT
cana-6100	31	15	localized	localize	VERB
cana-6100	31	16	single	single	ADJ
cana-6100	31	17	-	-	PUNCT
cana-6100	31	18	wave	wave	NOUN
cana-6100	31	19	solution	solution	NOUN
cana-6100	31	20	?	?	PUNCT
cana-6100	32	1	the	the	DET
cana-6100	32	2	answer	answer	NOUN
cana-6100	32	3	,	,	PUNCT
cana-6100	32	4	sure	sure	ADJ
cana-6100	32	5	,	,	PUNCT
cana-6100	32	6	would	would	AUX
cana-6100	32	7	depend	depend	VERB
cana-6100	32	8	on	on	ADP
cana-6100	32	9	the	the	DET
cana-6100	32	10	nature	nature	NOUN
cana-6100	32	11	and	and	CCONJ
cana-6100	32	12	physical	physical	ADJ
cana-6100	32	13	origin	origin	NOUN
cana-6100	32	14	of	of	ADP
cana-6100	32	15	the	the	DET
cana-6100	32	16	perturbation	perturbation	NOUN
cana-6100	32	17	.	.	PUNCT
cana-6100	33	1	currently	currently	ADV
cana-6100	33	2	,	,	PUNCT
cana-6100	33	3	studies	study	NOUN
cana-6100	33	4	are	be	AUX
cana-6100	33	5	underway	underway	ADJ
cana-6100	33	6	on	on	ADP
cana-6100	33	7	the	the	DET
cana-6100	33	8	nonlinear	nonlinear	ADJ
cana-6100	33	9	fifth	fifth	ADJ
cana-6100	33	10	-	-	PUNCT
cana-6100	33	11	order	order	NOUN
cana-6100	33	12	kdv	kdv	NOUN
cana-6100	33	13	-	-	PUNCT
cana-6100	33	14	type	type	NOUN
cana-6100	33	15	equations	equation	NOUN
cana-6100	33	16	as	as	SCONJ
cana-6100	33	17	they	they	PRON
cana-6100	33	18	can	can	AUX
cana-6100	33	19	describe	describe	VERB
cana-6100	33	20	real	real	ADJ
cana-6100	33	21	properties	property	NOUN
cana-6100	33	22	in	in	ADP
cana-6100	33	23	various	various	ADJ
cana-6100	33	24	scientific	scientific	ADJ
cana-6100	33	25	applications	application	NOUN
cana-6100	33	26	and	and	CCONJ
cana-6100	33	27	engineering	engineering	NOUN
cana-6100	33	28	fields	field	NOUN
cana-6100	33	29	,	,	PUNCT
cana-6100	33	30	and	and	CCONJ
cana-6100	33	31	have	have	VERB
cana-6100	33	32	practical	practical	ADJ
cana-6100	33	33	and	and	CCONJ
cana-6100	33	34	physical	physical	ADJ
cana-6100	33	35	significance	significance	NOUN
cana-6100	33	36	.	.	PUNCT
cana-6100	34	1	the	the	DET
cana-6100	34	2	nonlinear	nonlinear	ADJ
cana-6100	34	3	schrödinger	schrödinger	NOUN
cana-6100	34	4	(	(	PUNCT
cana-6100	34	5	nls	nls	NOUN
cana-6100	34	6	)	)	PUNCT
cana-6100	34	7	equation	equation	NOUN
cana-6100	34	8	is	be	AUX
cana-6100	34	9	an	an	DET
cana-6100	34	10	example	example	NOUN
cana-6100	34	11	of	of	ADP
cana-6100	34	12	a	a	DET
cana-6100	34	13	universal	universal	ADJ
cana-6100	34	14	nonlinear	nonlinear	ADJ
cana-6100	34	15	model	model	NOUN
cana-6100	34	16	because	because	SCONJ
cana-6100	34	17	it	it	PRON
cana-6100	34	18	describes	describe	VERB
cana-6100	34	19	a	a	DET
cana-6100	34	20	wide	wide	ADJ
cana-6100	34	21	variety	variety	NOUN
cana-6100	34	22	of	of	ADP
cana-6100	34	23	physical	physical	ADJ
cana-6100	34	24	systems	system	NOUN
cana-6100	34	25	.	.	PUNCT
cana-6100	35	1	as	as	ADP
cana-6100	35	2	a	a	DET
cana-6100	35	3	result	result	NOUN
cana-6100	35	4	,	,	PUNCT
cana-6100	35	5	the	the	DET
cana-6100	35	6	equation	equation	NOUN
cana-6100	35	7	may	may	AUX
cana-6100	35	8	be	be	AUX
cana-6100	35	9	used	use	VERB
cana-6100	35	10	to	to	PART
cana-6100	35	11	describe	describe	VERB
cana-6100	35	12	a	a	DET
cana-6100	35	13	wide	wide	ADJ
cana-6100	35	14	range	range	NOUN
cana-6100	35	15	of	of	ADP
cana-6100	35	16	nonlinear	nonlinear	ADJ
cana-6100	35	17	physical	physical	ADJ
cana-6100	35	18	events	event	NOUN
cana-6100	35	19	[	[	X
cana-6100	35	20	20	20	NUM
cana-6100	35	21	,	,	PUNCT
cana-6100	35	22	21	21	NUM
cana-6100	35	23	,	,	PUNCT
cana-6100	35	24	22	22	NUM
cana-6100	35	25	]	]	PUNCT
cana-6100	35	26	.	.	PUNCT
cana-6100	36	1	it	it	PRON
cana-6100	36	2	is	be	AUX
cana-6100	36	3	renowned	renowned	ADJ
cana-6100	36	4	that	that	SCONJ
cana-6100	36	5	a	a	DET
cana-6100	36	6	multiscale	multiscale	ADJ
cana-6100	36	7	analysis	analysis	NOUN
cana-6100	36	8	of	of	ADP
cana-6100	36	9	the	the	DET
cana-6100	36	10	kdv	kdv	NOUN
cana-6100	36	11	equation	equation	NOUN
cana-6100	36	12	gives	give	VERB
cana-6100	36	13	rise	rise	NOUN
cana-6100	36	14	to	to	ADP
cana-6100	36	15	the	the	DET
cana-6100	36	16	nls	nls	NOUN
cana-6100	36	17	equation	equation	NOUN
cana-6100	36	18	for	for	ADP
cana-6100	36	19	modulated	modulate	VERB
cana-6100	36	20	amplitude	amplitude	NOUN
cana-6100	36	21	[	[	X
cana-6100	36	22	23	23	NUM
cana-6100	36	23	,	,	PUNCT
cana-6100	36	24	24	24	NUM
cana-6100	36	25	,	,	PUNCT
cana-6100	36	26	25	25	NUM
cana-6100	36	27	,	,	PUNCT
cana-6100	36	28	26	26	NUM
cana-6100	36	29	,	,	PUNCT
cana-6100	36	30	27	27	NUM
cana-6100	36	31	]	]	PUNCT
cana-6100	36	32	.	.	PUNCT
cana-6100	37	1	in	in	ADP
cana-6100	37	2	[	[	X
cana-6100	37	3	23	23	NUM
cana-6100	37	4	]	]	PUNCT
cana-6100	37	5	,	,	PUNCT
cana-6100	37	6	zakharov	zakharov	ADJ
cana-6100	37	7	and	and	CCONJ
cana-6100	37	8	kuznetsov	kuznetsov	PROPN
cana-6100	37	9	demonstrated	demonstrate	VERB
cana-6100	37	10	a	a	DET
cana-6100	37	11	much	much	ADV
cana-6100	37	12	deeper	deep	ADJ
cana-6100	37	13	correspondence	correspondence	NOUN
cana-6100	37	14	between	between	ADP
cana-6100	37	15	these	these	DET
cana-6100	37	16	integrable	integrable	ADJ
cana-6100	37	17	equations	equation	NOUN
cana-6100	37	18	,	,	PUNCT
cana-6100	37	19	not	not	PART
cana-6100	37	20	only	only	ADV
cana-6100	37	21	at	at	ADP
cana-6100	37	22	the	the	DET
cana-6100	37	23	equation	equation	NOUN
cana-6100	37	24	level	level	NOUN
cana-6100	37	25	but	but	CCONJ
cana-6100	37	26	also	also	ADV
cana-6100	37	27	at	at	ADP
cana-6100	37	28	the	the	DET
cana-6100	37	29	linear	linear	ADJ
cana-6100	37	30	spectral	spectral	ADJ
cana-6100	37	31	problem	problem	NOUN
cana-6100	37	32	level	level	NOUN
cana-6100	37	33	,	,	PUNCT
cana-6100	37	34	by	by	ADP
cana-6100	37	35	showing	show	VERB
cana-6100	37	36	that	that	DET
cana-6100	37	37	multiscale	multiscale	ADJ
cana-6100	37	38	analysis	analysis	NOUN
cana-6100	37	39	of	of	ADP
cana-6100	37	40	the	the	DET
cana-6100	37	41	schrödinger	schrödinger	ADJ
cana-6100	37	42	spectral	spectral	ADJ
cana-6100	37	43	problem	problem	NOUN
cana-6100	37	44	yields	yield	VERB
cana-6100	37	45	the	the	DET
cana-6100	37	46	zakharov	zakharov	PROPN
cana-6100	37	47	-	-	PUNCT
cana-6100	37	48	shabat	shabat	NOUN
cana-6100	37	49	problem	problem	NOUN
cana-6100	37	50	for	for	ADP
cana-6100	37	51	the	the	DET
cana-6100	37	52	nls	nls	NOUN
cana-6100	37	53	equation	equation	NOUN
cana-6100	37	54	.	.	PUNCT
cana-6100	38	1	özer	özer	NOUN
cana-6100	38	2	and	and	CCONJ
cana-6100	38	3	dag˘	dag˘	PROPN
cana-6100	38	4	demonstrated	demonstrate	VERB
cana-6100	38	5	a	a	DET
cana-6100	38	6	similar	similar	ADJ
cana-6100	38	7	link	link	NOUN
cana-6100	38	8	between	between	ADP
cana-6100	38	9	the	the	DET
cana-6100	38	10	nls	nls	ADJ
cana-6100	38	11	and	and	CCONJ
cana-6100	38	12	integrable	integrable	ADJ
cana-6100	38	13	fifth	fifth	ADJ
cana-6100	38	14	-	-	PUNCT
cana-6100	38	15	order	order	NOUN
cana-6100	38	16	nonlinear	nonlinear	ADJ
cana-6100	38	17	evolution	evolution	NOUN
cana-6100	38	18	equations	equation	NOUN
cana-6100	38	19	[	[	X
cana-6100	38	20	28	28	NUM
cana-6100	38	21	]	]	PUNCT
cana-6100	38	22	.	.	PUNCT
cana-6100	39	1	additionally	additionally	ADV
cana-6100	39	2	,	,	PUNCT
cana-6100	39	3	similar	similar	ADJ
cana-6100	39	4	results	result	NOUN
cana-6100	39	5	were	be	AUX
cana-6100	39	6	obtained	obtain	VERB
cana-6100	39	7	using	use	VERB
cana-6100	39	8	multiscale	multiscale	ADJ
cana-6100	39	9	analysis	analysis	NOUN
cana-6100	39	10	in	in	ADP
cana-6100	39	11	different	different	ADJ
cana-6100	39	12	equations	equation	NOUN
cana-6100	39	13	[	[	X
cana-6100	39	14	29	29	NUM
cana-6100	39	15	,	,	PUNCT
cana-6100	39	16	30	30	NUM
cana-6100	39	17	,	,	PUNCT
cana-6100	39	18	31	31	NUM
cana-6100	39	19	,	,	PUNCT
cana-6100	39	20	32	32	NUM
cana-6100	39	21	]	]	PUNCT
cana-6100	39	22	.	.	PUNCT
cana-6100	40	1	communications	communication	NOUN
cana-6100	40	2	on	on	ADP
cana-6100	40	3	applied	apply	VERB
cana-6100	40	4	nonlinear	nonlinear	ADJ
cana-6100	40	5	analysis	analysis	NOUN
cana-6100	40	6	issn	issn	NOUN
cana-6100	40	7	:	:	PUNCT
cana-6100	40	8	1074	1074	NUM
cana-6100	40	9	-	-	PUNCT
cana-6100	40	10	133x	133x	NUM
cana-6100	40	11	vol	vol	VERB
cana-6100	40	12	32	32	NUM
cana-6100	40	13	no	no	NOUN
cana-6100	40	14	.	.	PUNCT
cana-6100	41	1	10s	10	NOUN
cana-6100	41	2	(	(	PUNCT
cana-6100	41	3	2025	2025	NUM
cana-6100	41	4	)	)	PUNCT
cana-6100	41	5	3376	3376	NUM
cana-6100	41	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	41	7	in	in	ADP
cana-6100	41	8	this	this	DET
cana-6100	41	9	paper	paper	NOUN
cana-6100	41	10	,	,	PUNCT
cana-6100	41	11	we	we	PRON
cana-6100	41	12	apply	apply	VERB
cana-6100	41	13	a	a	DET
cana-6100	41	14	multiple	multiple	ADJ
cana-6100	41	15	scale	scale	NOUN
cana-6100	41	16	method	method	NOUN
cana-6100	41	17	following	follow	VERB
cana-6100	41	18	zakharov	zakharov	PROPN
cana-6100	41	19	and	and	CCONJ
cana-6100	41	20	kuznetsov	kuznetsov	ADJ
cana-6100	42	1	[	[	X
cana-6100	42	2	23	23	NUM
cana-6100	42	3	]	]	PUNCT
cana-6100	42	4	related	relate	VERB
cana-6100	42	5	to	to	ADP
cana-6100	42	6	the	the	DET
cana-6100	42	7	connection	connection	NOUN
cana-6100	42	8	of	of	ADP
cana-6100	42	9	the	the	DET
cana-6100	42	10	kdv	kdv	NOUN
cana-6100	42	11	and	and	CCONJ
cana-6100	42	12	nls	nls	NOUN
cana-6100	42	13	equations	equation	NOUN
cana-6100	42	14	.	.	PUNCT
cana-6100	43	1	this	this	PRON
cana-6100	43	2	is	be	AUX
cana-6100	43	3	an	an	DET
cana-6100	43	4	important	important	ADJ
cana-6100	43	5	derivation	derivation	NOUN
cana-6100	43	6	because	because	SCONJ
cana-6100	43	7	the	the	DET
cana-6100	43	8	kdv	kdv	NOUN
cana-6100	43	9	flow	flow	NOUN
cana-6100	43	10	equations	equation	NOUN
cana-6100	43	11	follow	follow	VERB
cana-6100	43	12	from	from	ADP
cana-6100	43	13	the	the	DET
cana-6100	43	14	nls	nls	NOUN
cana-6100	43	15	equation	equation	NOUN
cana-6100	43	16	.	.	PUNCT
cana-6100	44	1	the	the	DET
cana-6100	44	2	strength	strength	NOUN
cana-6100	44	3	of	of	ADP
cana-6100	44	4	this	this	DET
cana-6100	44	5	method	method	NOUN
cana-6100	44	6	is	be	AUX
cana-6100	44	7	that	that	SCONJ
cana-6100	44	8	for	for	ADP
cana-6100	44	9	each	each	DET
cana-6100	44	10	degree	degree	NOUN
cana-6100	44	11	of	of	ADP
cana-6100	44	12	coefficients	coefficient	NOUN
cana-6100	44	13	in	in	ADP
cana-6100	44	14	epsilon	epsilon	PROPN
cana-6100	44	15	,	,	PUNCT
cana-6100	44	16	the	the	DET
cana-6100	44	17	equations	equation	NOUN
cana-6100	44	18	contain	contain	VERB
cana-6100	44	19	no	no	DET
cana-6100	44	20	secular	secular	ADJ
cana-6100	44	21	terms	term	NOUN
cana-6100	44	22	.	.	PUNCT
cana-6100	45	1	therefore	therefore	ADV
cana-6100	45	2	,	,	PUNCT
cana-6100	45	3	there	there	PRON
cana-6100	45	4	is	be	VERB
cana-6100	45	5	no	no	DET
cana-6100	45	6	freedom	freedom	NOUN
cana-6100	45	7	in	in	ADP
cana-6100	45	8	choosing	choose	VERB
cana-6100	45	9	the	the	DET
cana-6100	45	10	coefficients	coefficient	NOUN
cana-6100	45	11	,	,	PUNCT
cana-6100	45	12	and	and	CCONJ
cana-6100	45	13	the	the	DET
cana-6100	45	14	expansion	expansion	NOUN
cana-6100	45	15	is	be	AUX
cana-6100	45	16	uniquely	uniquely	ADV
cana-6100	45	17	determined	determine	VERB
cana-6100	45	18	.	.	PUNCT
cana-6100	46	1	the	the	DET
cana-6100	46	2	derivation	derivation	NOUN
cana-6100	46	3	of	of	ADP
cana-6100	46	4	this	this	DET
cana-6100	46	5	hierarchy	hierarchy	NOUN
cana-6100	46	6	is	be	AUX
cana-6100	46	7	not	not	PART
cana-6100	46	8	a	a	DET
cana-6100	46	9	simple	simple	ADJ
cana-6100	46	10	case	case	NOUN
cana-6100	46	11	of	of	ADP
cana-6100	46	12	algorithms	algorithm	NOUN
cana-6100	46	13	,	,	PUNCT
cana-6100	46	14	but	but	CCONJ
cana-6100	46	15	basically	basically	ADV
cana-6100	46	16	relies	rely	VERB
cana-6100	46	17	on	on	ADP
cana-6100	46	18	two	two	NUM
cana-6100	46	19	facts	fact	NOUN
cana-6100	46	20	.	.	PUNCT
cana-6100	47	1	first	first	ADV
cana-6100	47	2	,	,	PUNCT
cana-6100	47	3	different	different	ADJ
cana-6100	47	4	time	time	NOUN
cana-6100	47	5	flows	flow	NOUN
cana-6100	47	6	must	must	AUX
cana-6100	47	7	commute	commute	VERB
cana-6100	47	8	;	;	PUNCT
cana-6100	47	9	i.e.:utitj	i.e.:utitj	PROPN
cana-6100	47	10	=	=	SYM
cana-6100	47	11	utjti	utjti	NOUN
cana-6100	47	12	.	.	PUNCT
cana-6100	48	1	second	second	ADJ
cana-6100	48	2	,	,	PUNCT
cana-6100	48	3	in	in	ADP
cana-6100	48	4	each	each	DET
cana-6100	48	5	order	order	NOUN
cana-6100	48	6	in	in	ADP
cana-6100	48	7	epsilon	epsilon	PROPN
cana-6100	48	8	,	,	PUNCT
cana-6100	48	9	the	the	DET
cana-6100	48	10	coefficient	coefficient	NOUN
cana-6100	48	11	equations	equation	NOUN
cana-6100	48	12	contain	contain	VERB
cana-6100	48	13	secular	secular	ADJ
cana-6100	48	14	terms	term	NOUN
cana-6100	48	15	.	.	PUNCT
cana-6100	49	1	eliminating	eliminate	VERB
cana-6100	49	2	the	the	DET
cana-6100	49	3	secular	secular	ADJ
cana-6100	49	4	terms	term	NOUN
cana-6100	49	5	requires	require	VERB
cana-6100	49	6	uti	uti	PROPN
cana-6100	49	7	to	to	PART
cana-6100	49	8	have	have	VERB
cana-6100	49	9	a	a	DET
cana-6100	49	10	certain	certain	ADJ
cana-6100	49	11	high	high	ADJ
cana-6100	49	12	symmetry	symmetry	NOUN
cana-6100	49	13	(	(	PUNCT
cana-6100	49	14	flow	flow	NOUN
cana-6100	49	15	)	)	PUNCT
cana-6100	49	16	of	of	ADP
cana-6100	49	17	the	the	DET
cana-6100	49	18	hierarchy	hierarchy	NOUN
cana-6100	49	19	,	,	PUNCT
cana-6100	49	20	and	and	CCONJ
cana-6100	49	21	this	this	DET
cana-6100	49	22	way	way	NOUN
cana-6100	49	23	all	all	DET
cana-6100	49	24	coefficients	coefficient	NOUN
cana-6100	49	25	of	of	ADP
cana-6100	49	26	expansion	expansion	NOUN
cana-6100	49	27	are	be	AUX
cana-6100	49	28	fixed	fix	VERB
cana-6100	49	29	and	and	CCONJ
cana-6100	49	30	no	no	DET
cana-6100	49	31	arbitrariness	arbitrariness	NOUN
cana-6100	49	32	is	be	AUX
cana-6100	49	33	left	leave	VERB
cana-6100	49	34	.	.	PUNCT
cana-6100	50	1	after	after	ADP
cana-6100	50	2	the	the	DET
cana-6100	50	3	introduction	introduction	NOUN
cana-6100	50	4	,	,	PUNCT
cana-6100	50	5	in	in	ADP
cana-6100	50	6	chapter	chapter	NOUN
cana-6100	50	7	2	2	NUM
cana-6100	50	8	,	,	PUNCT
cana-6100	50	9	we	we	PRON
cana-6100	50	10	briefly	briefly	ADV
cana-6100	50	11	expressed	express	VERB
cana-6100	50	12	the	the	DET
cana-6100	50	13	fifth	fifth	ADJ
cana-6100	50	14	-	-	PUNCT
cana-6100	50	15	order	order	NOUN
cana-6100	50	16	korteweg	korteweg	NOUN
cana-6100	50	17	-	-	PUNCT
cana-6100	50	18	de	de	NOUN
cana-6100	50	19	vries	vries	PROPN
cana-6100	50	20	equation	equation	NOUN
cana-6100	50	21	(	(	PUNCT
cana-6100	50	22	kdv5	kdv5	PROPN
cana-6100	50	23	)	)	PUNCT
cana-6100	50	24	flow	flow	NOUN
cana-6100	50	25	equations	equation	NOUN
cana-6100	50	26	,	,	PUNCT
cana-6100	50	27	the	the	DET
cana-6100	50	28	seventh	seventh	ADJ
cana-6100	50	29	-	-	PUNCT
cana-6100	50	30	order	order	NOUN
cana-6100	50	31	korteweg	korteweg	NOUN
cana-6100	50	32	-	-	PUNCT
cana-6100	50	33	de	de	NOUN
cana-6100	50	34	vries	vries	PROPN
cana-6100	50	35	equation	equation	NOUN
cana-6100	50	36	(	(	PUNCT
cana-6100	50	37	kdv7	kdv7	PROPN
cana-6100	50	38	)	)	PUNCT
cana-6100	50	39	flow	flow	NOUN
cana-6100	50	40	equations	equation	NOUN
cana-6100	50	41	,	,	PUNCT
cana-6100	50	42	and	and	CCONJ
cana-6100	50	43	the	the	DET
cana-6100	50	44	multiple	multiple	ADJ
cana-6100	50	45	scales	scale	NOUN
cana-6100	50	46	method	method	NOUN
cana-6100	50	47	,	,	PUNCT
cana-6100	50	48	respectively	respectively	ADV
cana-6100	50	49	.	.	PUNCT
cana-6100	51	1	in	in	ADP
cana-6100	51	2	chapter	chapter	NOUN
cana-6100	51	3	3	3	NUM
cana-6100	51	4	,	,	PUNCT
cana-6100	51	5	we	we	PRON
cana-6100	51	6	applied	apply	VERB
cana-6100	51	7	the	the	DET
cana-6100	51	8	method	method	NOUN
cana-6100	51	9	given	give	VERB
cana-6100	51	10	in	in	ADP
cana-6100	51	11	chapter	chapter	NOUN
cana-6100	51	12	2	2	NUM
cana-6100	51	13	to	to	ADP
cana-6100	51	14	the	the	DET
cana-6100	51	15	(	(	PUNCT
cana-6100	51	16	1	1	NUM
cana-6100	51	17	+	+	NOUN
cana-6100	51	18	1	1	NUM
cana-6100	51	19	)	)	PUNCT
cana-6100	51	20	dimensional	dimensional	ADJ
cana-6100	51	21	fifth	fifth	ADJ
cana-6100	51	22	-	-	PUNCT
cana-6100	51	23	order	order	NOUN
cana-6100	51	24	and	and	CCONJ
cana-6100	51	25	seventh	seventh	ADJ
cana-6100	51	26	-	-	PUNCT
cana-6100	51	27	order	order	NOUN
cana-6100	51	28	kaup	kaup	NOUN
cana-6100	51	29	–	–	PUNCT
cana-6100	51	30	kupershmidt	kupershmidt	ADJ
cana-6100	51	31	(	(	PUNCT
cana-6100	51	32	kk	kk	NOUN
cana-6100	51	33	)	)	PUNCT
cana-6100	51	34	equation	equation	NOUN
cana-6100	51	35	.	.	PUNCT
cana-6100	52	1	the	the	DET
cana-6100	52	2	last	last	ADJ
cana-6100	52	3	part	part	NOUN
cana-6100	52	4	consists	consist	VERB
cana-6100	52	5	of	of	ADP
cana-6100	52	6	the	the	DET
cana-6100	52	7	conclusion	conclusion	NOUN
cana-6100	52	8	part	part	NOUN
cana-6100	52	9	.	.	PUNCT
cana-6100	53	1	2	2	X
cana-6100	53	2	.	.	X
cana-6100	53	3	background	background	NOUN
cana-6100	53	4	materials	material	NOUN
cana-6100	53	5	in	in	ADP
cana-6100	53	6	this	this	DET
cana-6100	53	7	section	section	NOUN
cana-6100	53	8	,	,	PUNCT
cana-6100	53	9	we	we	PRON
cana-6100	53	10	present	present	VERB
cana-6100	53	11	some	some	DET
cana-6100	53	12	background	background	NOUN
cana-6100	53	13	material	material	NOUN
cana-6100	53	14	on	on	ADP
cana-6100	53	15	the	the	DET
cana-6100	53	16	best	well	ADV
cana-6100	53	17	-	-	PUNCT
cana-6100	53	18	known	know	VERB
cana-6100	53	19	fifth	fifth	ADJ
cana-6100	53	20	-	-	PUNCT
cana-6100	53	21	order	order	NOUN
cana-6100	53	22	,	,	PUNCT
cana-6100	53	23	seventhorder	seventhorder	ADJ
cana-6100	53	24	kdv	kdv	NOUN
cana-6100	53	25	equations	equation	NOUN
cana-6100	53	26	and	and	CCONJ
cana-6100	53	27	the	the	DET
cana-6100	53	28	multi	multi	ADJ
cana-6100	53	29	-	-	ADJ
cana-6100	53	30	scale	scale	ADJ
cana-6100	53	31	method	method	NOUN
cana-6100	53	32	.	.	PUNCT
cana-6100	54	1	2.1	2.1	NUM
cana-6100	54	2	the	the	DET
cana-6100	54	3	fifth	fifth	ADJ
cana-6100	54	4	-	-	PUNCT
cana-6100	54	5	order	order	NOUN
cana-6100	54	6	korteweg	korteweg	NOUN
cana-6100	54	7	-	-	PUNCT
cana-6100	54	8	de	de	NOUN
cana-6100	54	9	vries	vries	PROPN
cana-6100	54	10	equation	equation	NOUN
cana-6100	54	11	(	(	PUNCT
cana-6100	54	12	fkdv	fkdv	NOUN
cana-6100	54	13	)	)	PUNCT
cana-6100	54	14	flow	flow	NOUN
cana-6100	54	15	equations	equation	NOUN
cana-6100	54	16	the	the	DET
cana-6100	54	17	best	well	ADV
cana-6100	54	18	-	-	PUNCT
cana-6100	54	19	known	know	VERB
cana-6100	54	20	fifth	fifth	ADJ
cana-6100	54	21	-	-	PUNCT
cana-6100	54	22	order	order	NOUN
cana-6100	54	23	kdv	kdv	NOUN
cana-6100	54	24	equations	equation	NOUN
cana-6100	54	25	look	look	VERB
cana-6100	54	26	like	like	ADP
cana-6100	54	27	this	this	PRON
cana-6100	54	28	ut	ut	PROPN
cana-6100	54	29	=	=	SYM
cana-6100	54	30	ωuxxxxx	ωuxxxxx	PROPN
cana-6100	54	31	+	+	CCONJ
cana-6100	54	32	α	α	PROPN
cana-6100	54	33	uxxx	uxxx	ADJ
cana-6100	55	1	+	+	CCONJ
cana-6100	55	2	βuxuxx	βuxuxx	NOUN
cana-6100	55	3	+	+	CCONJ
cana-6100	55	4	γu2ux	γu2ux	X
cana-6100	55	5	.	.	PUNCT
cana-6100	56	1	(	(	PUNCT
cana-6100	56	2	1	1	X
cana-6100	56	3	)	)	PUNCT
cana-6100	56	4	where	where	SCONJ
cana-6100	56	5	α	α	X
cana-6100	56	6	,	,	PUNCT
cana-6100	56	7	β	β	X
cana-6100	56	8	,	,	PUNCT
cana-6100	56	9	γ	γ	PROPN
cana-6100	56	10	and	and	CCONJ
cana-6100	56	11	ω	ω	NUM
cana-6100	56	12	are	be	AUX
cana-6100	56	13	arbitrary	arbitrary	ADJ
cana-6100	56	14	nonzero	nonzero	NOUN
cana-6100	56	15	,	,	PUNCT
cana-6100	56	16	and	and	CCONJ
cana-6100	56	17	real	real	ADJ
cana-6100	56	18	parameters	parameter	NOUN
cana-6100	56	19	,	,	PUNCT
cana-6100	56	20	and	and	CCONJ
cana-6100	56	21	u	u	X
cana-6100	56	22	=	=	PROPN
cana-6100	56	23	u(x	u(x	PROPN
cana-6100	56	24	,	,	PUNCT
cana-6100	56	25	t	t	PROPN
cana-6100	56	26	)	)	PUNCT
cana-6100	56	27	is	be	AUX
cana-6100	56	28	a	a	DET
cana-6100	56	29	smooth	smooth	ADJ
cana-6100	56	30	enough	enough	ADJ
cana-6100	56	31	function	function	NOUN
cana-6100	56	32	.	.	PUNCT
cana-6100	57	1	since	since	SCONJ
cana-6100	57	2	the	the	DET
cana-6100	57	3	parameters	parameter	NOUN
cana-6100	57	4	,	,	PUNCT
cana-6100	57	5	α	α	X
cana-6100	57	6	,	,	PUNCT
cana-6100	57	7	β	β	X
cana-6100	57	8	,	,	PUNCT
cana-6100	57	9	γ	γ	PROPN
cana-6100	57	10	and	and	CCONJ
cana-6100	57	11	ω	ω	NUM
cana-6100	57	12	are	be	AUX
cana-6100	57	13	arbitrary	arbitrary	ADJ
cana-6100	57	14	and	and	CCONJ
cana-6100	57	15	take	take	VERB
cana-6100	57	16	different	different	ADJ
cana-6100	57	17	values	value	NOUN
cana-6100	57	18	,	,	PUNCT
cana-6100	57	19	this	this	PRON
cana-6100	57	20	will	will	AUX
cana-6100	57	21	greatly	greatly	ADV
cana-6100	57	22	change	change	VERB
cana-6100	57	23	the	the	DET
cana-6100	57	24	properties	property	NOUN
cana-6100	57	25	of	of	ADP
cana-6100	57	26	the	the	DET
cana-6100	57	27	fkdv	fkdv	NOUN
cana-6100	57	28	equation	equation	NOUN
cana-6100	57	29	(	(	PUNCT
cana-6100	57	30	1	1	NUM
cana-6100	57	31	)	)	PUNCT
cana-6100	57	32	.	.	PUNCT
cana-6100	58	1	changing	change	VERB
cana-6100	58	2	the	the	DET
cana-6100	58	3	actual	actual	ADJ
cana-6100	58	4	values	value	NOUN
cana-6100	58	5	of	of	ADP
cana-6100	58	6	the	the	DET
cana-6100	58	7	parameters	parameter	NOUN
cana-6100	58	8	allows	allow	VERB
cana-6100	58	9	you	you	PRON
cana-6100	58	10	to	to	PART
cana-6100	58	11	generate	generate	VERB
cana-6100	58	12	many	many	ADJ
cana-6100	58	13	different	different	ADJ
cana-6100	58	14	variations	variation	NOUN
cana-6100	58	15	of	of	ADP
cana-6100	58	16	the	the	DET
cana-6100	58	17	fkdv	fkdv	NOUN
cana-6100	58	18	equation	equation	NOUN
cana-6100	58	19	.	.	PUNCT
cana-6100	59	1	the	the	DET
cana-6100	59	2	fkdv	fkdv	NOUN
cana-6100	59	3	equations	equation	NOUN
cana-6100	59	4	,	,	PUNCT
cana-6100	59	5	which	which	PRON
cana-6100	59	6	are	be	AUX
cana-6100	59	7	widely	widely	ADV
cana-6100	59	8	used	use	VERB
cana-6100	59	9	in	in	ADP
cana-6100	59	10	nonlinear	nonlinear	ADJ
cana-6100	59	11	optics	optic	NOUN
cana-6100	59	12	and	and	CCONJ
cana-6100	59	13	quantum	quantum	NOUN
cana-6100	59	14	physics	physics	NOUN
cana-6100	59	15	,	,	PUNCT
cana-6100	59	16	are	be	AUX
cana-6100	59	17	an	an	DET
cana-6100	59	18	important	important	ADJ
cana-6100	59	19	mathematical	mathematical	ADJ
cana-6100	59	20	model	model	NOUN
cana-6100	59	21	.	.	PUNCT
cana-6100	60	1	characteristic	characteristic	ADJ
cana-6100	60	2	examples	example	NOUN
cana-6100	60	3	are	be	AUX
cana-6100	60	4	commonly	commonly	ADV
cana-6100	60	5	utilized	utilize	VERB
cana-6100	60	6	in	in	ADP
cana-6100	60	7	many	many	ADJ
cana-6100	60	8	domains	domain	NOUN
cana-6100	60	9	,	,	PUNCT
cana-6100	60	10	including	include	VERB
cana-6100	60	11	plasma	plasma	NOUN
cana-6100	60	12	physics	physics	NOUN
cana-6100	60	13	,	,	PUNCT
cana-6100	60	14	quantum	quantum	ADJ
cana-6100	60	15	field	field	NOUN
cana-6100	60	16	theory	theory	NOUN
cana-6100	60	17	,	,	PUNCT
cana-6100	60	18	solid	solid	ADJ
cana-6100	60	19	-	-	PUNCT
cana-6100	60	20	state	state	NOUN
cana-6100	60	21	physics	physics	NOUN
cana-6100	60	22	,	,	PUNCT
cana-6100	60	23	and	and	CCONJ
cana-6100	60	24	fluid	fluid	ADJ
cana-6100	60	25	physics	physics	NOUN
cana-6100	60	26	[	[	X
cana-6100	60	27	33	33	NUM
cana-6100	60	28	,	,	PUNCT
cana-6100	60	29	42	42	NUM
cana-6100	60	30	]	]	PUNCT
cana-6100	60	31	.	.	PUNCT
cana-6100	61	1	some	some	DET
cana-6100	61	2	important	important	ADJ
cana-6100	61	3	special	special	ADJ
cana-6100	61	4	cases	case	NOUN
cana-6100	61	5	of	of	ADP
cana-6100	61	6	eq	eq	NOUN
cana-6100	61	7	.	.	PUNCT
cana-6100	62	1	(	(	PUNCT
cana-6100	62	2	1	1	X
cana-6100	62	3	)	)	PUNCT
cana-6100	62	4	are	be	AUX
cana-6100	62	5	:	:	PUNCT
cana-6100	62	6	kaup	kaup	PROPN
cana-6100	62	7	-	-	PUNCT
cana-6100	62	8	kupershmidt	kupershmidt	PROPN
cana-6100	62	9	(	(	PUNCT
cana-6100	62	10	kk	kk	NOUN
cana-6100	62	11	)	)	PUNCT
cana-6100	62	12	equation	equation	NOUN
cana-6100	62	13	[	[	X
cana-6100	62	14	37	37	NUM
cana-6100	62	15	,	,	PUNCT
cana-6100	62	16	38	38	NUM
cana-6100	62	17	,	,	PUNCT
cana-6100	62	18	39	39	NUM
cana-6100	62	19	,	,	PUNCT
cana-6100	62	20	40	40	NUM
cana-6100	62	21	,	,	PUNCT
cana-6100	62	22	41	41	NUM
cana-6100	62	23	]	]	PUNCT
cana-6100	62	24	ut	ut	PROPN
cana-6100	63	1	=	=	NOUN
cana-6100	63	2	uxxxxx	uxxxxx	PROPN
cana-6100	63	3	+	+	CCONJ
cana-6100	63	4	10uuxxx	10uuxxx	NUM
cana-6100	63	5	+	+	NUM
cana-6100	63	6	25uxuxx	25uxuxx	NUM
cana-6100	63	7	+	+	NUM
cana-6100	63	8	20u2ux	20u2ux	NOUN
cana-6100	63	9	,	,	PUNCT
cana-6100	63	10	(	(	PUNCT
cana-6100	63	11	2	2	X
cana-6100	63	12	)	)	PUNCT
cana-6100	63	13	sawada	sawada	NOUN
cana-6100	63	14	-	-	PUNCT
cana-6100	63	15	kotera	kotera	PROPN
cana-6100	63	16	(	(	PUNCT
cana-6100	63	17	sk	sk	NOUN
cana-6100	63	18	)	)	PUNCT
cana-6100	63	19	equation	equation	NOUN
cana-6100	63	20	[	[	X
cana-6100	63	21	34	34	NUM
cana-6100	63	22	,	,	PUNCT
cana-6100	63	23	43	43	NUM
cana-6100	63	24	]	]	PUNCT
cana-6100	63	25	ut	ut	PROPN
cana-6100	64	1	=	=	SYM
cana-6100	64	2	uxxxxx	uxxxxx	PROPN
cana-6100	64	3	+	+	CCONJ
cana-6100	64	4	5uuxxx	5uuxxx	NUM
cana-6100	64	5	+	+	CCONJ
cana-6100	64	6	5uxuxx	5uxuxx	NUM
cana-6100	64	7	+	+	NUM
cana-6100	64	8	5u2ux	5u2ux	NUM
cana-6100	64	9	,	,	PUNCT
cana-6100	64	10	(	(	PUNCT
cana-6100	64	11	3	3	X
cana-6100	64	12	)	)	PUNCT
cana-6100	64	13	caudrey	caudrey	PROPN
cana-6100	64	14	-	-	PUNCT
cana-6100	64	15	dodd	dodd	NOUN
cana-6100	64	16	-	-	PUNCT
cana-6100	64	17	gibbon	gibbon	PROPN
cana-6100	64	18	(	(	PUNCT
cana-6100	64	19	cdg	cdg	PROPN
cana-6100	64	20	)	)	PUNCT
cana-6100	64	21	equation	equation	NOUN
cana-6100	64	22	ut	ut	PROPN
cana-6100	64	23	=	=	PUNCT
cana-6100	64	24	uxxxxx	uxxxxx	PROPN
cana-6100	64	25	+	+	CCONJ
cana-6100	64	26	30uxxx	30uxxx	NUM
cana-6100	64	27	+	+	NUM
cana-6100	64	28	30uxuxx	30uxuxx	NUM
cana-6100	64	29	+	+	NUM
cana-6100	64	30	180u2ux	180u2ux	NUM
cana-6100	64	31	,	,	PUNCT
cana-6100	64	32	(	(	PUNCT
cana-6100	64	33	4	4	X
cana-6100	64	34	)	)	PUNCT
cana-6100	64	35	communications	communication	NOUN
cana-6100	64	36	on	on	ADP
cana-6100	64	37	applied	apply	VERB
cana-6100	64	38	nonlinear	nonlinear	ADJ
cana-6100	64	39	analysis	analysis	NOUN
cana-6100	64	40	issn	issn	NOUN
cana-6100	64	41	:	:	PUNCT
cana-6100	64	42	1074	1074	NUM
cana-6100	64	43	-	-	PUNCT
cana-6100	64	44	133x	133x	NUM
cana-6100	64	45	vol	vol	VERB
cana-6100	64	46	32	32	NUM
cana-6100	64	47	no	no	NOUN
cana-6100	64	48	.	.	PUNCT
cana-6100	65	1	10s	10	NOUN
cana-6100	65	2	(	(	PUNCT
cana-6100	65	3	2025	2025	NUM
cana-6100	65	4	)	)	PUNCT
cana-6100	65	5	3377	3377	NUM
cana-6100	65	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	66	1	x	x	PUNCT
cana-6100	66	2	x	x	SYM
cana-6100	66	3	lax	lax	ADJ
cana-6100	66	4	equation	equation	NOUN
cana-6100	66	5	[	[	X
cana-6100	66	6	33	33	NUM
cana-6100	66	7	]	]	PUNCT
cana-6100	66	8	ut	ut	PROPN
cana-6100	66	9	=	=	NOUN
cana-6100	66	10	uxxxxx	uxxxxx	PROPN
cana-6100	66	11	+	+	NUM
cana-6100	66	12	10uuxxx	10uuxxx	NUM
cana-6100	66	13	+	+	NUM
cana-6100	66	14	20uxuxx	20uxuxx	NUM
cana-6100	66	15	+	+	CCONJ
cana-6100	66	16	30u2ux	30u2ux	NUM
cana-6100	66	17	,	,	PUNCT
cana-6100	66	18	(	(	PUNCT
cana-6100	66	19	5	5	X
cana-6100	66	20	)	)	PUNCT
cana-6100	66	21	ito	ito	NOUN
cana-6100	66	22	equation	equation	NOUN
cana-6100	66	23	[	[	X
cana-6100	66	24	35	35	NUM
cana-6100	66	25	,	,	PUNCT
cana-6100	66	26	36	36	NUM
cana-6100	66	27	]	]	PUNCT
cana-6100	66	28	ut	ut	PROPN
cana-6100	66	29	=	=	SYM
cana-6100	66	30	uxxxxx	uxxxxx	PROPN
cana-6100	66	31	+	+	CCONJ
cana-6100	66	32	3uxxx	3uxxx	NUM
cana-6100	66	33	+	+	CCONJ
cana-6100	66	34	6uxuxx	6uxuxx	NUM
cana-6100	66	35	+	+	NUM
cana-6100	66	36	2u2ux	2u2ux	NUM
cana-6100	66	37	,	,	PUNCT
cana-6100	66	38	(	(	PUNCT
cana-6100	66	39	6	6	NUM
cana-6100	66	40	)	)	PUNCT
cana-6100	66	41	as	as	ADP
cana-6100	66	42	the	the	DET
cana-6100	66	43	values	value	NOUN
cana-6100	66	44	of	of	ADP
cana-6100	66	45	α	α	PROPN
cana-6100	66	46	,	,	PUNCT
cana-6100	66	47	β	β	NOUN
cana-6100	66	48	,	,	PUNCT
cana-6100	66	49	and	and	CCONJ
cana-6100	66	50	γ	γ	NOUN
cana-6100	66	51	vary	vary	VERB
cana-6100	66	52	,	,	PUNCT
cana-6100	66	53	the	the	DET
cana-6100	66	54	characteristics	characteristic	NOUN
cana-6100	66	55	of	of	ADP
cana-6100	66	56	the	the	DET
cana-6100	66	57	equation	equation	NOUN
cana-6100	66	58	(	(	PUNCT
cana-6100	66	59	1	1	X
cana-6100	66	60	)	)	PUNCT
cana-6100	66	61	change	change	NOUN
cana-6100	66	62	drastically	drastically	ADV
cana-6100	66	63	.	.	PUNCT
cana-6100	67	1	for	for	ADP
cana-6100	67	2	example	example	NOUN
cana-6100	67	3	,	,	PUNCT
cana-6100	67	4	the	the	DET
cana-6100	67	5	kk	kk	PROPN
cana-6100	67	6	equation	equation	NOUN
cana-6100	67	7	with	with	ADP
cana-6100	67	8	α=	α=	NOUN
cana-6100	67	9	10	10	NUM
cana-6100	67	10	,	,	PUNCT
cana-6100	67	11	β	β	X
cana-6100	67	12	=	=	SYM
cana-6100	67	13	25	25	NUM
cana-6100	67	14	,	,	PUNCT
cana-6100	67	15	and	and	CCONJ
cana-6100	67	16	γ	γ	X
cana-6100	67	17	=	=	SYM
cana-6100	67	18	20	20	NUM
cana-6100	67	19	,	,	PUNCT
cana-6100	67	20	which	which	PRON
cana-6100	67	21	is	be	AUX
cana-6100	67	22	known	know	VERB
cana-6100	67	23	to	to	PART
cana-6100	67	24	be	be	AUX
cana-6100	67	25	integrable	integrable	ADJ
cana-6100	67	26	[	[	X
cana-6100	67	27	39	39	NUM
cana-6100	67	28	]	]	PUNCT
cana-6100	67	29	,	,	PUNCT
cana-6100	67	30	and	and	CCONJ
cana-6100	67	31	has	have	AUX
cana-6100	67	32	bilinear	bilinear	VERB
cana-6100	67	33	representations	representation	NOUN
cana-6100	67	34	[	[	X
cana-6100	67	35	39	39	NUM
cana-6100	67	36	,	,	PUNCT
cana-6100	67	37	41	41	NUM
cana-6100	67	38	]	]	PUNCT
cana-6100	67	39	,	,	PUNCT
cana-6100	67	40	but	but	CCONJ
cana-6100	67	41	the	the	DET
cana-6100	67	42	obvious	obvious	ADJ
cana-6100	67	43	form	form	NOUN
cana-6100	67	44	of	of	ADP
cana-6100	67	45	the	the	DET
cana-6100	67	46	n	n	CCONJ
cana-6100	67	47	-	-	PUNCT
cana-6100	67	48	soliton	soliton	NOUN
cana-6100	67	49	solutions	solution	NOUN
cana-6100	67	50	is	be	AUX
cana-6100	67	51	not	not	PART
cana-6100	67	52	known	know	VERB
cana-6100	67	53	.	.	PUNCT
cana-6100	68	1	another	another	DET
cana-6100	68	2	example	example	NOUN
cana-6100	68	3	is	be	AUX
cana-6100	68	4	the	the	DET
cana-6100	68	5	sk	sk	NOUN
cana-6100	68	6	equation	equation	NOUN
cana-6100	68	7	,	,	PUNCT
cana-6100	68	8	where	where	SCONJ
cana-6100	68	9	α=	α=	NOUN
cana-6100	68	10	β	β	X
cana-6100	68	11	=	=	SYM
cana-6100	68	12	γ	γ	X
cana-6100	68	13	=	=	SYM
cana-6100	68	14	5	5	NUM
cana-6100	68	15	,	,	PUNCT
cana-6100	68	16	and	and	CCONJ
cana-6100	68	17	the	the	DET
cana-6100	68	18	lax	lax	ADJ
cana-6100	68	19	equation	equation	NOUN
cana-6100	68	20	with	with	ADP
cana-6100	68	21	α=	α=	NOUN
cana-6100	68	22	10	10	NUM
cana-6100	68	23	,	,	PUNCT
cana-6100	68	24	β	β	X
cana-6100	68	25	=	=	SYM
cana-6100	68	26	20	20	NUM
cana-6100	68	27	,	,	PUNCT
cana-6100	68	28	and	and	CCONJ
cana-6100	68	29	γ	γ	X
cana-6100	68	30	=	=	SYM
cana-6100	68	31	30	30	NUM
cana-6100	68	32	,	,	PUNCT
cana-6100	68	33	are	be	AUX
cana-6100	68	34	both	both	PRON
cana-6100	68	35	fully	fully	ADV
cana-6100	68	36	integrable	integrable	ADJ
cana-6100	68	37	.	.	PUNCT
cana-6100	69	1	these	these	DET
cana-6100	69	2	two	two	NUM
cana-6100	69	3	equations	equation	NOUN
cana-6100	69	4	have	have	VERB
cana-6100	69	5	n	n	CCONJ
cana-6100	69	6	-	-	PUNCT
cana-6100	69	7	soliton	soliton	NOUN
cana-6100	69	8	solutions	solution	NOUN
cana-6100	69	9	and	and	CCONJ
cana-6100	69	10	an	an	DET
cana-6100	69	11	endless	endless	ADJ
cana-6100	69	12	set	set	NOUN
cana-6100	69	13	of	of	ADP
cana-6100	69	14	conserved	conserved	ADJ
cana-6100	69	15	densities	density	NOUN
cana-6100	69	16	.	.	PUNCT
cana-6100	70	1	one	one	NUM
cana-6100	70	2	last	last	ADJ
cana-6100	70	3	equation	equation	NOUN
cana-6100	70	4	in	in	ADP
cana-6100	70	5	this	this	DET
cana-6100	70	6	class	class	NOUN
cana-6100	70	7	is	be	AUX
cana-6100	70	8	the	the	DET
cana-6100	70	9	ito	ito	PROPN
cana-6100	70	10	equation	equation	NOUN
cana-6100	70	11	,	,	PUNCT
cana-6100	70	12	with	with	ADP
cana-6100	70	13	α=	α=	NOUN
cana-6100	70	14	3	3	NUM
cana-6100	70	15	,	,	PUNCT
cana-6100	70	16	β	β	X
cana-6100	70	17	=	=	SYM
cana-6100	70	18	6	6	NUM
cana-6100	70	19	,	,	PUNCT
cana-6100	70	20	and	and	CCONJ
cana-6100	70	21	γ	γ	X
cana-6100	70	22	=	=	SYM
cana-6100	70	23	2	2	NUM
cana-6100	70	24	,	,	PUNCT
cana-6100	70	25	which	which	PRON
cana-6100	70	26	can	can	AUX
cana-6100	70	27	not	not	PART
cana-6100	70	28	be	be	AUX
cana-6100	70	29	fully	fully	ADV
cana-6100	70	30	integrated	integrate	VERB
cana-6100	70	31	but	but	CCONJ
cana-6100	70	32	has	have	VERB
cana-6100	70	33	a	a	DET
cana-6100	70	34	limited	limited	ADJ
cana-6100	70	35	number	number	NOUN
cana-6100	70	36	of	of	ADP
cana-6100	70	37	special	special	ADJ
cana-6100	70	38	conserved	conserve	VERB
cana-6100	70	39	densities	density	NOUN
cana-6100	70	40	[	[	X
cana-6100	70	41	36	36	NUM
cana-6100	70	42	]	]	PUNCT
cana-6100	70	43	.	.	PUNCT
cana-6100	71	1	2.2	2.2	NUM
cana-6100	71	2	the	the	DET
cana-6100	71	3	seventh	seventh	ADJ
cana-6100	71	4	-	-	PUNCT
cana-6100	71	5	order	order	NOUN
cana-6100	71	6	korteweg	korteweg	NOUN
cana-6100	71	7	-	-	PUNCT
cana-6100	71	8	de	de	NOUN
cana-6100	71	9	vries	vries	PROPN
cana-6100	71	10	equation	equation	NOUN
cana-6100	71	11	(	(	PUNCT
cana-6100	71	12	skdv	skdv	NOUN
cana-6100	71	13	)	)	PUNCT
cana-6100	71	14	flow	flow	NOUN
cana-6100	71	15	equations	equation	NOUN
cana-6100	71	16	the	the	DET
cana-6100	71	17	best	well	ADV
cana-6100	71	18	-	-	PUNCT
cana-6100	71	19	known	know	VERB
cana-6100	71	20	fifth	fifth	ADJ
cana-6100	71	21	-	-	PUNCT
cana-6100	71	22	order	order	NOUN
cana-6100	71	23	kdv	kdv	NOUN
cana-6100	71	24	equations	equation	NOUN
cana-6100	71	25	look	look	VERB
cana-6100	71	26	like	like	ADP
cana-6100	71	27	this	this	PRON
cana-6100	71	28	ut	ut	PROPN
cana-6100	72	1	+	+	CCONJ
cana-6100	72	2	au3ux	au3ux	X
cana-6100	72	3	+	+	CCONJ
cana-6100	72	4	bu3	bu3	NOUN
cana-6100	72	5	+	+	CCONJ
cana-6100	72	6	cuuxu2x	cuuxu2x	PROPN
cana-6100	72	7	+	+	X
cana-6100	72	8	du2u3x	du2u3x	PROPN
cana-6100	72	9	+	+	CCONJ
cana-6100	72	10	eu2xu3x	eu2xu3x	ADJ
cana-6100	72	11	+	+	CCONJ
cana-6100	72	12	ƒuxu4x	ƒuxu4x	NOUN
cana-6100	72	13	+	+	CCONJ
cana-6100	72	14	guu5x	guu5x	ADJ
cana-6100	73	1	+	+	CCONJ
cana-6100	73	2	u7x	u7x	ADJ
cana-6100	73	3	=	=	SYM
cana-6100	73	4	0	0	NUM
cana-6100	73	5	(	(	PUNCT
cana-6100	73	6	7	7	NUM
cana-6100	73	7	)	)	PUNCT
cana-6100	73	8	where	where	SCONJ
cana-6100	73	9	a	a	DET
cana-6100	73	10	,	,	PUNCT
cana-6100	73	11	b	b	NOUN
cana-6100	73	12	,	,	PUNCT
cana-6100	73	13	c	c	NOUN
cana-6100	73	14	,	,	PUNCT
cana-6100	73	15	d	d	NOUN
cana-6100	73	16	,	,	PUNCT
cana-6100	73	17	e	e	NOUN
cana-6100	73	18	,	,	PUNCT
cana-6100	73	19	ƒ	ƒ	PRON
cana-6100	73	20	and	and	CCONJ
cana-6100	73	21	g	g	PROPN
cana-6100	73	22	are	be	AUX
cana-6100	73	23	constant	constant	ADJ
cana-6100	73	24	parameters	parameter	NOUN
cana-6100	73	25	also	also	ADV
cana-6100	73	26	,	,	PUNCT
cana-6100	73	27	these	these	DET
cana-6100	73	28	parameters	parameter	NOUN
cana-6100	73	29	can	can	AUX
cana-6100	73	30	not	not	PART
cana-6100	73	31	be	be	AUX
cana-6100	73	32	zero	zero	NUM
cana-6100	73	33	,	,	PUNCT
cana-6100	73	34	and	and	CCONJ
cana-6100	73	35	uix	uix	ADJ
cana-6100	73	36	=	=	SYM
cana-6100	73	37	(	(	PUNCT
cana-6100	73	38	𝜕𝑖/𝜕𝑥	𝜕𝑖/𝜕𝑥	NOUN
cana-6100	73	39	𝑖	𝑖	X
cana-6100	73	40	)	)	PUNCT
cana-6100	73	41	u.	u.	PROPN
cana-6100	73	42	pomeau	pomeau	PROPN
cana-6100	73	43	et	et	PROPN
cana-6100	73	44	al	al	PROPN
cana-6100	73	45	.	.	PUNCT
cana-6100	74	1	[	[	X
cana-6100	74	2	44	44	NUM
cana-6100	74	3	]	]	PUNCT
cana-6100	74	4	have	have	AUX
cana-6100	74	5	introduced	introduce	VERB
cana-6100	74	6	the	the	DET
cana-6100	74	7	seventh	seventh	ADJ
cana-6100	74	8	-	-	PUNCT
cana-6100	74	9	order	order	NOUN
cana-6100	74	10	kdv	kdv	NOUN
cana-6100	74	11	equation	equation	NOUN
cana-6100	74	12	for	for	ADP
cana-6100	74	13	discussing	discuss	VERB
cana-6100	74	14	the	the	DET
cana-6100	74	15	structural	structural	ADJ
cana-6100	74	16	stability	stability	NOUN
cana-6100	74	17	of	of	ADP
cana-6100	74	18	kdv	kdv	NOUN
cana-6100	74	19	equation	equation	NOUN
cana-6100	74	20	under	under	ADP
cana-6100	74	21	a	a	DET
cana-6100	74	22	singular	singular	ADJ
cana-6100	74	23	perturbation	perturbation	NOUN
cana-6100	74	24	.	.	PUNCT
cana-6100	75	1	when	when	SCONJ
cana-6100	75	2	a	a	DET
cana-6100	75	3	=	=	SYM
cana-6100	75	4	252	252	NUM
cana-6100	75	5	,	,	PUNCT
cana-6100	75	6	b	b	NOUN
cana-6100	75	7	=	=	SYM
cana-6100	75	8	63	63	NUM
cana-6100	75	9	,	,	PUNCT
cana-6100	75	10	c	c	NOUN
cana-6100	75	11	=	=	SYM
cana-6100	75	12	378	378	NUM
cana-6100	75	13	,	,	PUNCT
cana-6100	75	14	d	d	NOUN
cana-6100	75	15	=	=	SYM
cana-6100	75	16	126	126	NUM
cana-6100	75	17	,	,	PUNCT
cana-6100	75	18	e	e	X
cana-6100	75	19	=	=	SYM
cana-6100	75	20	63	63	NUM
cana-6100	75	21	,	,	PUNCT
cana-6100	75	22	ƒ	ƒ	NOUN
cana-6100	75	23	=	=	SYM
cana-6100	75	24	42	42	NUM
cana-6100	75	25	and	and	CCONJ
cana-6100	75	26	g	g	NOUN
cana-6100	75	27	=	=	SYM
cana-6100	75	28	21	21	NUM
cana-6100	75	29	,	,	PUNCT
cana-6100	75	30	we	we	PRON
cana-6100	75	31	have	have	VERB
cana-6100	75	32	:	:	PUNCT
cana-6100	75	33	ut	ut	PROPN
cana-6100	75	34	+	+	PROPN
cana-6100	75	35	252u3ux	252u3ux	NUM
cana-6100	76	1	+	+	CCONJ
cana-6100	76	2	63u3	63u3	NUM
cana-6100	76	3	+	+	NUM
cana-6100	76	4	378uxu2x	378uxu2x	NUM
cana-6100	76	5	+	+	CCONJ
cana-6100	76	6	126u2u3x	126u2u3x	NUM
cana-6100	77	1	+63u2xu3x	+63u2xu3x	ADP
cana-6100	77	2	+	+	CCONJ
cana-6100	77	3	42uxu4x	42uxu4x	NUM
cana-6100	78	1	+	+	CCONJ
cana-6100	78	2	21u5x	21u5x	NOUN
cana-6100	78	3	+	+	CCONJ
cana-6100	78	4	u7x	u7x	NOUN
cana-6100	78	5	=	=	SYM
cana-6100	78	6	0	0	NUM
cana-6100	79	1	(	(	PUNCT
cana-6100	79	2	8)	8)	NUM
cana-6100	79	3	this	this	DET
cana-6100	79	4	equation	equation	NOUN
cana-6100	79	5	is	be	AUX
cana-6100	79	6	the	the	DET
cana-6100	79	7	well	well	ADV
cana-6100	79	8	-	-	PUNCT
cana-6100	79	9	known	know	VERB
cana-6100	79	10	seventh	seventh	ADJ
cana-6100	79	11	-	-	PUNCT
cana-6100	79	12	order	order	NOUN
cana-6100	79	13	sawada	sawada	NOUN
cana-6100	79	14	–	–	PUNCT
cana-6100	79	15	kotera	kotera	PROPN
cana-6100	79	16	–	–	PUNCT
cana-6100	79	17	ito	ito	PROPN
cana-6100	79	18	equation	equation	NOUN
cana-6100	79	19	[	[	X
cana-6100	79	20	45	45	NUM
cana-6100	79	21	,	,	PUNCT
cana-6100	79	22	46	46	NUM
cana-6100	79	23	,	,	PUNCT
cana-6100	79	24	47	47	NUM
cana-6100	79	25	]	]	PUNCT
cana-6100	79	26	.	.	PUNCT
cana-6100	80	1	when	when	SCONJ
cana-6100	80	2	a	a	DET
cana-6100	80	3	=	=	SYM
cana-6100	80	4	140	140	NUM
cana-6100	80	5	,	,	PUNCT
cana-6100	80	6	b	b	NOUN
cana-6100	80	7	=	=	SYM
cana-6100	80	8	70	70	NUM
cana-6100	80	9	,	,	PUNCT
cana-6100	80	10	c	c	NOUN
cana-6100	80	11	=	=	SYM
cana-6100	80	12	280	280	NUM
cana-6100	80	13	,	,	PUNCT
cana-6100	80	14	d	d	PROPN
cana-6100	80	15	=	=	SYM
cana-6100	80	16	70	70	NUM
cana-6100	80	17	,	,	PUNCT
cana-6100	80	18	e	e	X
cana-6100	80	19	=	=	SYM
cana-6100	80	20	70	70	NUM
cana-6100	80	21	,	,	PUNCT
cana-6100	80	22	ƒ	ƒ	NOUN
cana-6100	80	23	=	=	SYM
cana-6100	80	24	42	42	NUM
cana-6100	80	25	and	and	CCONJ
cana-6100	80	26	g	g	NOUN
cana-6100	80	27	=	=	SYM
cana-6100	80	28	14	14	NUM
cana-6100	81	1	,	,	PUNCT
cana-6100	81	2	we	we	PRON
cana-6100	81	3	have	have	VERB
cana-6100	81	4	:	:	PUNCT
cana-6100	82	1	+70u2xu3x	+70u2xu3x	ADP
cana-6100	82	2	+	+	NUM
cana-6100	82	3	42uxu4x	42uxu4x	NUM
cana-6100	83	1	+	+	NUM
cana-6100	83	2	14u5x	14u5x	NOUN
cana-6100	83	3	+	+	CCONJ
cana-6100	83	4	u7x	u7x	PROPN
cana-6100	83	5	=	=	SYM
cana-6100	83	6	0	0	NUM
cana-6100	83	7	(	(	PUNCT
cana-6100	83	8	9	9	NUM
cana-6100	83	9	)	)	PUNCT
cana-6100	83	10	this	this	DET
cana-6100	83	11	equation	equation	NOUN
cana-6100	83	12	is	be	AUX
cana-6100	83	13	the	the	DET
cana-6100	83	14	well	well	ADV
cana-6100	83	15	-	-	PUNCT
cana-6100	83	16	known	know	VERB
cana-6100	83	17	seventh	seventh	ADJ
cana-6100	83	18	-	-	PUNCT
cana-6100	83	19	order	order	NOUN
cana-6100	83	20	lax	lax	ADJ
cana-6100	83	21	equation	equation	NOUN
cana-6100	83	22	[	[	X
cana-6100	83	23	45	45	NUM
cana-6100	83	24	,	,	PUNCT
cana-6100	83	25	46	46	NUM
cana-6100	83	26	,	,	PUNCT
cana-6100	83	27	47	47	NUM
cana-6100	83	28	]	]	PUNCT
cana-6100	83	29	.	.	PUNCT
cana-6100	84	1	when	when	SCONJ
cana-6100	84	2	a	a	DET
cana-6100	84	3	=	=	SYM
cana-6100	84	4	2016	2016	NUM
cana-6100	84	5	,	,	PUNCT
cana-6100	84	6	b	b	X
cana-6100	84	7	=	=	SYM
cana-6100	84	8	630	630	NUM
cana-6100	84	9	,	,	PUNCT
cana-6100	84	10	c	c	NOUN
cana-6100	84	11	=	=	SYM
cana-6100	84	12	2268	2268	NUM
cana-6100	84	13	,	,	PUNCT
cana-6100	84	14	d	d	NOUN
cana-6100	84	15	=	=	SYM
cana-6100	84	16	504	504	NUM
cana-6100	84	17	,	,	PUNCT
cana-6100	84	18	e	e	NOUN
cana-6100	84	19	=	=	SYM
cana-6100	84	20	252	252	NUM
cana-6100	84	21	,	,	PUNCT
cana-6100	84	22	ƒ	ƒ	NOUN
cana-6100	84	23	=	=	SYM
cana-6100	84	24	147	147	NUM
cana-6100	84	25	and	and	CCONJ
cana-6100	84	26	g	g	PROPN
cana-6100	84	27	=	=	SYM
cana-6100	84	28	42	42	NUM
cana-6100	84	29	,	,	PUNCT
cana-6100	84	30	we	we	PRON
cana-6100	84	31	have	have	VERB
cana-6100	84	32	:	:	PUNCT
cana-6100	84	33	ut	ut	PROPN
cana-6100	85	1	+	+	NUM
cana-6100	85	2	2016u3ux	2016u3ux	NUM
cana-6100	86	1	+	+	CCONJ
cana-6100	86	2	630𝑢𝑥	630𝑢𝑥	NOUN
cana-6100	86	3	3	3	NUM
cana-6100	86	4	+	+	SYM
cana-6100	86	5	2268uxu2x	2268uxu2x	NUM
cana-6100	86	6	+	+	CCONJ
cana-6100	86	7	504u2u3x	504u2u3x	NUM
cana-6100	86	8	+252u2xu3x	+252u2xu3x	NOUN
cana-6100	86	9	+	+	CCONJ
cana-6100	86	10	147uxu4x	147uxu4x	NUM
cana-6100	86	11	+	+	CCONJ
cana-6100	86	12	42u5x	42u5x	ADJ
cana-6100	86	13	+	+	CCONJ
cana-6100	86	14	u7x	u7x	ADJ
cana-6100	86	15	=	=	SYM
cana-6100	86	16	0	0	NUM
cana-6100	86	17	(	(	PUNCT
cana-6100	86	18	10	10	NUM
cana-6100	86	19	)	)	PUNCT
cana-6100	86	20	this	this	DET
cana-6100	86	21	equation	equation	NOUN
cana-6100	86	22	is	be	AUX
cana-6100	86	23	the	the	DET
cana-6100	86	24	well	well	ADV
cana-6100	86	25	-	-	PUNCT
cana-6100	86	26	known	know	VERB
cana-6100	86	27	seventh	seventh	ADJ
cana-6100	86	28	-	-	PUNCT
cana-6100	86	29	order	order	NOUN
cana-6100	86	30	kaup	kaup	NOUN
cana-6100	86	31	–	–	PUNCT
cana-6100	86	32	kupershmidt	kupershmidt	ADJ
cana-6100	86	33	equation	equation	NOUN
cana-6100	86	34	[	[	X
cana-6100	86	35	45	45	NUM
cana-6100	86	36	,	,	PUNCT
cana-6100	86	37	46	46	NUM
cana-6100	86	38	,	,	PUNCT
cana-6100	86	39	47	47	NUM
cana-6100	86	40	]	]	PUNCT
cana-6100	86	41	.	.	PUNCT
cana-6100	87	1	ut	ut	PROPN
cana-6100	88	1	+	+	CCONJ
cana-6100	88	2	140u3ux	140u3ux	NUM
cana-6100	89	1	+	+	CCONJ
cana-6100	89	2	70𝑢𝑥	70𝑢𝑥	ADJ
cana-6100	89	3	3	3	NUM
cana-6100	89	4	+	+	SYM
cana-6100	89	5	280uxu2x	280uxu2x	NUM
cana-6100	89	6	+	+	CCONJ
cana-6100	89	7	70u2u3x	70u2u3x	ADJ
cana-6100	89	8	communications	communication	NOUN
cana-6100	89	9	on	on	ADP
cana-6100	89	10	applied	apply	VERB
cana-6100	89	11	nonlinear	nonlinear	ADJ
cana-6100	89	12	analysis	analysis	NOUN
cana-6100	89	13	issn	issn	NOUN
cana-6100	89	14	:	:	PUNCT
cana-6100	89	15	1074	1074	NUM
cana-6100	89	16	-	-	PUNCT
cana-6100	89	17	133x	133x	NUM
cana-6100	89	18	vol	vol	VERB
cana-6100	89	19	32	32	NUM
cana-6100	89	20	no	no	NOUN
cana-6100	89	21	.	.	PUNCT
cana-6100	90	1	10s	10	NOUN
cana-6100	90	2	(	(	PUNCT
cana-6100	90	3	2025	2025	NUM
cana-6100	90	4	)	)	PUNCT
cana-6100	90	5	3378	3378	NUM
cana-6100	90	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	90	7	2.3	2.3	NUM
cana-6100	90	8	the	the	DET
cana-6100	90	9	multiple	multiple	ADJ
cana-6100	90	10	scales	scale	NOUN
cana-6100	90	11	method	method	VERB
cana-6100	90	12	the	the	DET
cana-6100	90	13	multiple	multiple	ADJ
cana-6100	90	14	scales	scale	NOUN
cana-6100	90	15	method	method	NOUN
cana-6100	90	16	is	be	AUX
cana-6100	90	17	a	a	DET
cana-6100	90	18	perturbation	perturbation	NOUN
cana-6100	90	19	method	method	NOUN
cana-6100	90	20	.	.	PUNCT
cana-6100	91	1	in	in	ADP
cana-6100	91	2	the	the	DET
cana-6100	91	3	multiple	multiple	ADJ
cana-6100	91	4	scales	scale	NOUN
cana-6100	91	5	method	method	NOUN
cana-6100	91	6	first	first	ADV
cana-6100	91	7	recommended	recommend	VERB
cana-6100	91	8	by	by	ADP
cana-6100	91	9	zakharov	zakharov	PROPN
cana-6100	91	10	and	and	CCONJ
cana-6100	91	11	kuznetsov	kuznetsov	ADJ
cana-6100	91	12	[	[	X
cana-6100	91	13	23	23	NUM
cana-6100	91	14	]	]	PUNCT
cana-6100	91	15	,	,	PUNCT
cana-6100	91	16	zakharov	zakharov	ADJ
cana-6100	91	17	and	and	CCONJ
cana-6100	91	18	kuznetsov	kuznetsov	PROPN
cana-6100	91	19	used	use	VERB
cana-6100	91	20	this	this	DET
cana-6100	91	21	method	method	NOUN
cana-6100	91	22	to	to	PART
cana-6100	91	23	decrease	decrease	VERB
cana-6100	91	24	the	the	DET
cana-6100	91	25	kdv	kdv	NOUN
cana-6100	91	26	equation	equation	NOUN
cana-6100	91	27	to	to	ADP
cana-6100	91	28	the	the	DET
cana-6100	91	29	nls	nls	NOUN
cana-6100	91	30	equation	equation	NOUN
cana-6100	91	31	and	and	CCONJ
cana-6100	91	32	apply	apply	VERB
cana-6100	91	33	it	it	PRON
cana-6100	91	34	to	to	ADP
cana-6100	91	35	a	a	DET
cana-6100	91	36	class	class	NOUN
cana-6100	91	37	of	of	ADP
cana-6100	91	38	nonlinear	nonlinear	ADJ
cana-6100	91	39	evolution	evolution	NOUN
cana-6100	91	40	equations	equation	NOUN
cana-6100	91	41	.	.	PUNCT
cana-6100	92	1	using	use	VERB
cana-6100	92	2	this	this	DET
cana-6100	92	3	method	method	NOUN
cana-6100	92	4	,	,	PUNCT
cana-6100	92	5	they	they	PRON
cana-6100	92	6	showed	show	VERB
cana-6100	92	7	that	that	SCONJ
cana-6100	92	8	integrable	integrable	ADJ
cana-6100	92	9	systems	system	NOUN
cana-6100	92	10	can	can	AUX
cana-6100	92	11	be	be	AUX
cana-6100	92	12	decreased	decrease	VERB
cana-6100	92	13	to	to	ADP
cana-6100	92	14	integrable	integrable	ADJ
cana-6100	92	15	systems	system	NOUN
cana-6100	92	16	.	.	PUNCT
cana-6100	93	1	if	if	SCONJ
cana-6100	93	2	the	the	DET
cana-6100	93	3	system	system	NOUN
cana-6100	93	4	we	we	PRON
cana-6100	93	5	have	have	AUX
cana-6100	93	6	taken	take	VERB
cana-6100	93	7	at	at	ADP
cana-6100	93	8	the	the	DET
cana-6100	93	9	beginning	beginning	NOUN
cana-6100	93	10	is	be	AUX
cana-6100	93	11	not	not	PART
cana-6100	93	12	an	an	DET
cana-6100	93	13	integrable	integrable	ADJ
cana-6100	93	14	system	system	NOUN
cana-6100	93	15	,	,	PUNCT
cana-6100	93	16	it	it	PRON
cana-6100	93	17	has	have	AUX
cana-6100	93	18	been	be	AUX
cana-6100	93	19	seen	see	VERB
cana-6100	93	20	that	that	SCONJ
cana-6100	93	21	the	the	DET
cana-6100	93	22	reduced	reduced	ADJ
cana-6100	93	23	system	system	NOUN
cana-6100	93	24	as	as	ADP
cana-6100	93	25	a	a	DET
cana-6100	93	26	result	result	NOUN
cana-6100	93	27	of	of	ADP
cana-6100	93	28	the	the	DET
cana-6100	93	29	application	application	NOUN
cana-6100	93	30	of	of	ADP
cana-6100	93	31	the	the	DET
cana-6100	93	32	method	method	NOUN
cana-6100	93	33	is	be	AUX
cana-6100	93	34	either	either	CCONJ
cana-6100	93	35	integrable	integrable	ADJ
cana-6100	93	36	or	or	CCONJ
cana-6100	93	37	non	non	ADJ
cana-6100	93	38	-	-	ADJ
cana-6100	93	39	integrable	integrable	ADJ
cana-6100	93	40	.	.	PUNCT
cana-6100	94	1	however	however	ADV
cana-6100	94	2	,	,	PUNCT
cana-6100	94	3	if	if	SCONJ
cana-6100	94	4	the	the	DET
cana-6100	94	5	method	method	NOUN
cana-6100	94	6	is	be	AUX
cana-6100	94	7	applied	apply	VERB
cana-6100	94	8	to	to	ADP
cana-6100	94	9	a	a	DET
cana-6100	94	10	suitable	suitable	ADJ
cana-6100	94	11	integrable	integrable	ADJ
cana-6100	94	12	system	system	NOUN
cana-6100	94	13	,	,	PUNCT
cana-6100	94	14	it	it	PRON
cana-6100	94	15	is	be	AUX
cana-6100	94	16	seen	see	VERB
cana-6100	94	17	that	that	SCONJ
cana-6100	94	18	the	the	DET
cana-6100	94	19	system	system	NOUN
cana-6100	94	20	obtained	obtain	VERB
cana-6100	94	21	as	as	ADP
cana-6100	94	22	a	a	DET
cana-6100	94	23	result	result	NOUN
cana-6100	94	24	of	of	ADP
cana-6100	94	25	the	the	DET
cana-6100	94	26	analysis	analysis	NOUN
cana-6100	94	27	is	be	AUX
cana-6100	94	28	always	always	ADV
cana-6100	94	29	an	an	DET
cana-6100	94	30	integrable	integrable	ADJ
cana-6100	94	31	system	system	NOUN
cana-6100	94	32	.	.	PUNCT
cana-6100	95	1	this	this	PRON
cana-6100	95	2	is	be	AUX
cana-6100	95	3	the	the	DET
cana-6100	95	4	master	master	NOUN
cana-6100	95	5	purpose	purpose	NOUN
cana-6100	95	6	of	of	ADP
cana-6100	95	7	applying	apply	VERB
cana-6100	95	8	the	the	DET
cana-6100	95	9	multi	multi	ADJ
cana-6100	95	10	-	-	ADJ
cana-6100	95	11	scale	scale	ADJ
cana-6100	95	12	expansion	expansion	NOUN
cana-6100	95	13	method	method	NOUN
cana-6100	95	14	to	to	PART
cana-6100	95	15	integrable	integrable	ADJ
cana-6100	95	16	systems	system	NOUN
cana-6100	95	17	.	.	PUNCT
cana-6100	96	1	in	in	ADP
cana-6100	96	2	this	this	DET
cana-6100	96	3	section	section	NOUN
cana-6100	96	4	,	,	PUNCT
cana-6100	96	5	multiple	multiple	ADJ
cana-6100	96	6	scales	scale	NOUN
cana-6100	96	7	method	method	NOUN
cana-6100	96	8	of	of	ADP
cana-6100	96	9	nonlinear	nonlinear	ADJ
cana-6100	96	10	evolution	evolution	NOUN
cana-6100	96	11	equations	equation	NOUN
cana-6100	96	12	is	be	AUX
cana-6100	96	13	discussed	discuss	VERB
cana-6100	96	14	.	.	PUNCT
cana-6100	97	1	by	by	ADP
cana-6100	97	2	applying	apply	VERB
cana-6100	97	3	the	the	DET
cana-6100	97	4	zakharov	zakharov	NOUN
cana-6100	97	5	and	and	CCONJ
cana-6100	97	6	kuznetsov	kuznetsov	PROPN
cana-6100	97	7	(	(	PUNCT
cana-6100	97	8	1986	1986	NUM
cana-6100	97	9	)	)	PUNCT
cana-6100	97	10	technique	technique	NOUN
cana-6100	97	11	,	,	PUNCT
cana-6100	97	12	the	the	DET
cana-6100	97	13	steps	step	NOUN
cana-6100	97	14	of	of	ADP
cana-6100	97	15	the	the	DET
cana-6100	97	16	multi	multi	ADJ
cana-6100	97	17	-	-	ADJ
cana-6100	97	18	scale	scale	ADJ
cana-6100	97	19	method	method	NOUN
cana-6100	97	20	in	in	ADP
cana-6100	97	21	obtaining	obtain	VERB
cana-6100	97	22	nls	nls	NOUN
cana-6100	97	23	type	type	NOUN
cana-6100	97	24	equations	equation	NOUN
cana-6100	97	25	from	from	ADP
cana-6100	97	26	kdv	kdv	NOUN
cana-6100	97	27	equations	equation	NOUN
cana-6100	97	28	are	be	AUX
cana-6100	97	29	shown	show	VERB
cana-6100	97	30	in	in	ADP
cana-6100	97	31	order	order	NOUN
cana-6100	97	32	.	.	PUNCT
cana-6100	98	1	let	let	AUX
cana-6100	98	2	consider	consider	VERB
cana-6100	98	3	the	the	DET
cana-6100	98	4	general	general	ADJ
cana-6100	98	5	evolution	evolution	NOUN
cana-6100	98	6	equation	equation	NOUN
cana-6100	98	7	in	in	ADP
cana-6100	98	8	the	the	DET
cana-6100	98	9	following	follow	VERB
cana-6100	98	10	form	form	NOUN
cana-6100	98	11	(	(	PUNCT
cana-6100	98	12	)	)	PUNCT
cana-6100	98	13	...	...	PUNCT
cana-6100	98	14	,	,	PUNCT
cana-6100	98	15	,	,	PUNCT
cana-6100	98	16	yxt	yxt	NOUN
cana-6100	98	17	uuuku	uuuku	NOUN
cana-6100	98	18	=	=	SYM
cana-6100	98	19	(	(	PUNCT
cana-6100	98	20	11	11	NUM
cana-6100	98	21	)	)	PUNCT
cana-6100	99	1	where	where	SCONJ
cana-6100	99	2	k	k	PROPN
cana-6100	100	1	[	[	X
cana-6100	100	2	u	u	X
cana-6100	100	3	]	]	X
cana-6100	100	4	is	be	AUX
cana-6100	100	5	a	a	DET
cana-6100	100	6	function	function	NOUN
cana-6100	100	7	of	of	ADP
cana-6100	100	8	u	u	NOUN
cana-6100	100	9	and	and	CCONJ
cana-6100	100	10	its	its	PRON
cana-6100	100	11	derivatives	derivative	NOUN
cana-6100	100	12	with	with	ADP
cana-6100	100	13	respect	respect	NOUN
cana-6100	100	14	to	to	ADP
cana-6100	100	15	the	the	DET
cana-6100	100	16	x	x	ADJ
cana-6100	100	17	-	-	ADJ
cana-6100	100	18	spatial	spatial	ADJ
cana-6100	100	19	variables	variable	NOUN
cana-6100	100	20	.	.	PUNCT
cana-6100	101	1	the	the	DET
cana-6100	101	2	well	well	ADV
cana-6100	101	3	known	know	VERB
cana-6100	101	4	of	of	ADP
cana-6100	101	5	this	this	DET
cana-6100	101	6	type	type	NOUN
cana-6100	101	7	equations	equation	NOUN
cana-6100	101	8	is	be	AUX
cana-6100	101	9	kdv	kdv	NOUN
cana-6100	101	10	equation	equation	NOUN
cana-6100	101	11	.	.	PUNCT
cana-6100	102	1			ADJ
cana-6100	102	2	ul	ul	PROPN
cana-6100	102	3	yx	yx	PROPN
cana-6100	102	4			PROPN
cana-6100	102	5	,	,	PUNCT
cana-6100	102	6	is	be	AUX
cana-6100	102	7	the	the	DET
cana-6100	102	8	linear	linear	ADJ
cana-6100	102	9	part	part	NOUN
cana-6100	102	10	of	of	ADP
cana-6100	102	11	k	k	PROPN
cana-6100	103	1	[	[	X
cana-6100	103	2	u	u	X
cana-6100	103	3	]	]	X
cana-6100	103	4	.	.	PUNCT
cana-6100	104	1	so	so	ADV
cana-6100	104	2	,	,	PUNCT
cana-6100	104	3	using	use	VERB
cana-6100	104	4	k	k	PROPN
cana-6100	105	1	[	[	X
cana-6100	105	2	u	u	X
cana-6100	105	3	]	]	X
cana-6100	105	4	,	,	PUNCT
cana-6100	105	5	we	we	PRON
cana-6100	105	6	can	can	AUX
cana-6100	105	7	reach	reach	VERB
cana-6100	105	8	the	the	DET
cana-6100	105	9	dispersion	dispersion	NOUN
cana-6100	105	10	relation	relation	NOUN
cana-6100	105	11	for	for	ADP
cana-6100	105	12	eq	eq	PROPN
cana-6100	105	13	.	.	PUNCT
cana-6100	106	1	(	(	PUNCT
cana-6100	106	2	11	11	NUM
cana-6100	106	3	)	)	PUNCT
cana-6100	106	4	.	.	PUNCT
cana-6100	107	1	substituting	substitute	VERB
cana-6100	107	2	the	the	DET
cana-6100	107	3	wave	wave	NOUN
cana-6100	107	4	solution	solution	NOUN
cana-6100	107	5	space	space	NOUN
cana-6100	107	6	(	(	PUNCT
cana-6100	107	7	)	)	PUNCT
cana-6100	107	8	(	(	PUNCT
cana-6100	107	9	)	)	PUNCT
cana-6100	108	1			PROPN
cana-6100	108	2			X
cana-6100	109	1	i	i	PROPN
cana-6100	109	2	trkrykxi	trkrykxi	NOUN
cana-6100	109	3	k	k	PROPN
cana-6100	109	4	ae	ae	PROPN
cana-6100	110	1	aeu	aeu	ADV
cana-6100	110	2			PROPN
cana-6100	110	3	=	=	SYM
cana-6100	110	4	−+	−+	PROPN
cana-6100	110	5	,	,	PUNCT
cana-6100	110	6	(	(	PUNCT
cana-6100	110	7	12	12	NUM
cana-6100	110	8	)	)	PUNCT
cana-6100	110	9	into	into	ADP
cana-6100	110	10	the	the	DET
cana-6100	110	11	linear	linear	ADJ
cana-6100	110	12	part	part	NOUN
cana-6100	110	13	of	of	ADP
cana-6100	110	14	eq	eq	PROPN
cana-6100	110	15	.	.	PUNCT
cana-6100	111	1	(	(	PUNCT
cana-6100	111	2	11	11	NUM
cana-6100	111	3	)	)	PUNCT
cana-6100	111	4			NOUN
cana-6100	111	5	ulu	ulu	PROPN
cana-6100	111	6	yxt	yxt	NOUN
cana-6100	111	7	=	=	ADV
cana-6100	111	8	,	,	PUNCT
cana-6100	111	9	(	(	PUNCT
cana-6100	111	10	13	13	NUM
cana-6100	111	11	)	)	PUNCT
cana-6100	111	12	we	we	PRON
cana-6100	111	13	get	get	VERB
cana-6100	111	14	the	the	DET
cana-6100	111	15	dispersion	dispersion	NOUN
cana-6100	111	16	relation	relation	NOUN
cana-6100	111	17	(	(	PUNCT
cana-6100	111	18	)	)	PUNCT
cana-6100	111	19			PROPN
cana-6100	111	20	irikilrk	irikilrk	PROPN
cana-6100	111	21	,	,	PUNCT
cana-6100	111	22	,	,	PUNCT
cana-6100	111	23	=	=	PRON
cana-6100	111	24			X
cana-6100	111	25	(	(	PUNCT
cana-6100	111	26	14	14	NUM
cana-6100	111	27	)	)	PUNCT
cana-6100	111	28	then	then	ADV
cana-6100	111	29	,	,	PUNCT
cana-6100	111	30	the	the	DET
cana-6100	111	31	dispersion	dispersion	NOUN
cana-6100	111	32	relation	relation	NOUN
cana-6100	111	33	(	(	PUNCT
cana-6100	111	34	14	14	NUM
cana-6100	111	35	)	)	PUNCT
cana-6100	111	36	is	be	AUX
cana-6100	111	37	substituted	substitute	VERB
cana-6100	111	38	in	in	ADP
cana-6100	111	39	eq	eq	ADP
cana-6100	111	40	.	.	PUNCT
cana-6100	112	1	(	(	PUNCT
cana-6100	112	2	11	11	NUM
cana-6100	112	3	)	)	PUNCT
cana-6100	112	4	.	.	PUNCT
cana-6100	113	1	we	we	PRON
cana-6100	113	2	assume	assume	VERB
cana-6100	113	3	the	the	DET
cana-6100	113	4	following	follow	VERB
cana-6100	113	5	series	series	NOUN
cana-6100	113	6	expansions	expansion	NOUN
cana-6100	113	7	for	for	ADP
cana-6100	113	8	the	the	DET
cana-6100	113	9	solution	solution	NOUN
cana-6100	113	10	of	of	ADP
cana-6100	113	11	eq	eq	PROPN
cana-6100	113	12	.	.	PUNCT
cana-6100	114	1	(	(	PUNCT
cana-6100	114	2	11	11	NUM
cana-6100	114	3	)	)	PUNCT
cana-6100	114	4	:	:	PUNCT
cana-6100	114	5	(	(	PUNCT
cana-6100	114	6	)	)	PUNCT
cana-6100	114	7	(	(	PUNCT
cana-6100	114	8	)	)	PUNCT
cana-6100	114	9			NUM
cana-6100	114	10	,	,	PUNCT
cana-6100	114	11	,	,	PUNCT
cana-6100	114	12	,	,	PUNCT
cana-6100	114	13	,	,	PUNCT
cana-6100	114	14	,	,	PUNCT
cana-6100	114	15	1	1	NUM
cana-6100	114	16	txutyxu	txutyxu	NOUN
cana-6100	114	17	n	n	CCONJ
cana-6100	114	18	n	n	CCONJ
cana-6100	114	19	n	n	ADV
cana-6100	114	20			X
cana-6100	114	21			VERB
cana-6100	114	22	=	=	SYM
cana-6100	114	23	=	=	PUNCT
cana-6100	114	24	based	base	VERB
cana-6100	114	25	on	on	ADP
cana-6100	114	26	this	this	DET
cana-6100	114	27	solution	solution	NOUN
cana-6100	114	28	,	,	PUNCT
cana-6100	114	29	we	we	PRON
cana-6100	114	30	also	also	ADV
cana-6100	114	31	define	define	VERB
cana-6100	114	32	slow	slow	ADJ
cana-6100	114	33	space	space	ADJ
cana-6100	114	34	and	and	CCONJ
cana-6100	114	35	multiple	multiple	ADJ
cana-6100	114	36	time	time	NOUN
cana-6100	114	37	variable	variable	ADJ
cana-6100	114	38			NOUN
cana-6100	114	39	with	with	ADP
cana-6100	114	40	respect	respect	NOUN
cana-6100	114	41	to	to	ADP
cana-6100	114	42	the	the	DET
cana-6100	114	43	scaling	scale	VERB
cana-6100	114	44	parameter	parameter	NOUN
cana-6100	114	45			PROPN
cana-6100	114	46	>	>	X
cana-6100	114	47	0	0	NUM
cana-6100	114	48	,	,	PUNCT
cana-6100	114	49	respectively	respectively	ADV
cana-6100	114	50	,	,	PUNCT
cana-6100	114	51	as	as	SCONJ
cana-6100	114	52	follows	follow	VERB
cana-6100	114	53	.	.	PUNCT
cana-6100	115	1	(	(	PUNCT
cana-6100	115	2	)	)	PUNCT
cana-6100	115	3	(	(	PUNCT
cana-6100	115	4	)	)	PUNCT
cana-6100	115	5	t	t	NOUN
cana-6100	115	6	dk	dk	PROPN
cana-6100	115	7	rkd	rkd	PROPN
cana-6100	115	8	t	t	PROPN
cana-6100	115	9	dk	dk	PROPN
cana-6100	115	10	rkd	rkd	X
cana-6100	115	11	x	x	PUNCT
cana-6100	115	12			NOUN
cana-6100	115	13			NOUN
cana-6100	115	14			PROPN
cana-6100	115	15			PROPN
cana-6100	115	16			PROPN
cana-6100	115	17			NOUN
cana-6100	115	18	−=	−=	NOUN
cana-6100	115	19			PROPN
cana-6100	115	20			NOUN
cana-6100	115	21			PROPN
cana-6100	115	22			PROPN
cana-6100	115	23			PROPN
cana-6100	115	24			NOUN
cana-6100	115	25	−=	−=	NOUN
cana-6100	115	26	2	2	NUM
cana-6100	115	27	2	2	NUM
cana-6100	115	28	2	2	NUM
cana-6100	115	29	2	2	NUM
cana-6100	115	30	1	1	NUM
cana-6100	115	31	,	,	PUNCT
cana-6100	115	32	,	,	PUNCT
cana-6100	115	33			PROPN
cana-6100	115	34			NOUN
cana-6100	115	35			X
cana-6100	115	36			NOUN
cana-6100	115	37	(	(	PUNCT
cana-6100	115	38	15	15	NUM
cana-6100	115	39	)	)	PUNCT
cana-6100	115	40	communications	communication	NOUN
cana-6100	115	41	on	on	ADP
cana-6100	115	42	applied	apply	VERB
cana-6100	115	43	nonlinear	nonlinear	ADJ
cana-6100	115	44	analysis	analysis	NOUN
cana-6100	115	45	issn	issn	NOUN
cana-6100	115	46	:	:	PUNCT
cana-6100	115	47	1074	1074	NUM
cana-6100	115	48	-	-	PUNCT
cana-6100	115	49	133x	133x	NUM
cana-6100	115	50	vol	vol	VERB
cana-6100	115	51	32	32	NUM
cana-6100	115	52	no	no	NOUN
cana-6100	115	53	.	.	PUNCT
cana-6100	116	1	10s	10	NOUN
cana-6100	116	2	(	(	PUNCT
cana-6100	116	3	2025	2025	NUM
cana-6100	116	4	)	)	PUNCT
cana-6100	116	5	3379	3379	NUM
cana-6100	116	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	117	1	a	a	DET
cana-6100	117	2	nonlinear	nonlinear	ADJ
cana-6100	117	3	equation	equation	NOUN
cana-6100	117	4	modulates	modulate	VERB
cana-6100	117	5	the	the	DET
cana-6100	117	6	amplitude	amplitude	NOUN
cana-6100	117	7	of	of	ADP
cana-6100	117	8	this	this	DET
cana-6100	117	9	plane	plane	NOUN
cana-6100	117	10	wave	wave	NOUN
cana-6100	117	11	solution	solution	NOUN
cana-6100	117	12	in	in	ADP
cana-6100	117	13	such	such	DET
cana-6100	117	14	a	a	DET
cana-6100	117	15	way	way	NOUN
cana-6100	117	16	that	that	PRON
cana-6100	117	17	may	may	AUX
cana-6100	117	18	consider	consider	VERB
cana-6100	117	19	it	it	PRON
cana-6100	117	20	dependent	dependent	ADJ
cana-6100	117	21	upon	upon	SCONJ
cana-6100	117	22	the	the	DET
cana-6100	117	23	slow	slow	ADJ
cana-6100	117	24	variables	variable	NOUN
cana-6100	117	25	.	.	PUNCT
cana-6100	118	1	if	if	SCONJ
cana-6100	118	2	we	we	PRON
cana-6100	118	3	choose	choose	VERB
cana-6100	118	4	the	the	DET
cana-6100	118	5	slow	slow	ADJ
cana-6100	118	6	variables	variable	NOUN
cana-6100	118	7	'	'	PART
cana-6100	118	8	different	different	ADJ
cana-6100	118	9	forms	form	NOUN
cana-6100	118	10	,	,	PUNCT
cana-6100	118	11	we	we	PRON
cana-6100	118	12	can	can	AUX
cana-6100	118	13	derive	derive	VERB
cana-6100	118	14	higher	high	ADJ
cana-6100	118	15	-	-	PUNCT
cana-6100	118	16	order	order	NOUN
cana-6100	118	17	nls	nls	NOUN
cana-6100	118	18	equations	equation	NOUN
cana-6100	118	19	.	.	PUNCT
cana-6100	119	1	the	the	DET
cana-6100	119	2	multiple	multiple	ADJ
cana-6100	119	3	scales	scale	VERB
cana-6100	119	4	analysis	analysis	NOUN
cana-6100	119	5	starts	start	VERB
cana-6100	119	6	with	with	ADP
cana-6100	119	7	the	the	DET
cana-6100	119	8	assumption	assumption	NOUN
cana-6100	119	9	:	:	PUNCT
cana-6100	119	10	(	(	PUNCT
cana-6100	119	11	)	)	PUNCT
cana-6100	119	12	(	(	PUNCT
cana-6100	119	13	)	)	PUNCT
cana-6100	119	14			NUM
cana-6100	119	15	,	,	PUNCT
cana-6100	119	16	,	,	PUNCT
cana-6100	119	17	,	,	PUNCT
cana-6100	119	18	,	,	PUNCT
cana-6100	119	19	,	,	PUNCT
cana-6100	119	20	,	,	PUNCT
cana-6100	119	21	tyxutyxu	tyxutyxu	NOUN
cana-6100	119	22	=	=	SYM
cana-6100	119	23	(	(	PUNCT
cana-6100	119	24	16	16	NUM
cana-6100	119	25	)	)	PUNCT
cana-6100	119	26	and	and	CCONJ
cana-6100	119	27	solution	solution	NOUN
cana-6100	119	28	of	of	ADP
cana-6100	119	29	u	u	NOUN
cana-6100	119	30	is	be	AUX
cana-6100	119	31	in	in	ADP
cana-6100	119	32	the	the	DET
cana-6100	119	33	form	form	NOUN
cana-6100	119	34	(	(	PUNCT
cana-6100	119	35	)	)	PUNCT
cana-6100	119	36	...	...	PUNCT
cana-6100	119	37	)	)	PUNCT
cana-6100	119	38	(	(	PUNCT
cana-6100	119	39	,	,	PUNCT
cana-6100	119	40	,	,	PUNCT
cana-6100	119	41	,	,	PUNCT
cana-6100	119	42	,	,	PUNCT
cana-6100	119	43	3	3	NUM
cana-6100	119	44	3	3	NUM
cana-6100	119	45	2	2	NUM
cana-6100	119	46	2	2	NUM
cana-6100	119	47	1	1	NUM
cana-6100	119	48	+	+	ADJ
cana-6100	119	49	+	+	ADJ
cana-6100	119	50	+	+	ADJ
cana-6100	119	51	=	=	ADJ
cana-6100	119	52	uuutyxu	uuutyxu	ADJ
cana-6100	119	53			NOUN
cana-6100	119	54	(	(	PUNCT
cana-6100	119	55	17	17	NUM
cana-6100	119	56	)	)	PUNCT
cana-6100	119	57	in	in	ADP
cana-6100	119	58	this	this	DET
cana-6100	119	59	case	case	NOUN
cana-6100	119	60	,	,	PUNCT
cana-6100	119	61	considering	consider	VERB
cana-6100	119	62	the	the	DET
cana-6100	119	63	transformation	transformation	NOUN
cana-6100	119	64	(	(	PUNCT
cana-6100	119	65	16	16	NUM
cana-6100	119	66	)	)	PUNCT
cana-6100	119	67	and	and	CCONJ
cana-6100	119	68	solution	solution	NOUN
cana-6100	119	69	(	(	PUNCT
cana-6100	119	70	17	17	NUM
cana-6100	119	71	)	)	PUNCT
cana-6100	119	72	,	,	PUNCT
cana-6100	119	73	using	use	VERB
cana-6100	119	74	(	(	PUNCT
cana-6100	119	75	14	14	NUM
cana-6100	119	76	)	)	PUNCT
cana-6100	119	77	and	and	CCONJ
cana-6100	119	78	(	(	PUNCT
cana-6100	119	79	15	15	NUM
cana-6100	119	80	)	)	PUNCT
cana-6100	119	81	,	,	PUNCT
cana-6100	119	82	the	the	DET
cana-6100	119	83	terms	term	NOUN
cana-6100	119	84	included	include	VERB
cana-6100	119	85	derivative	derivative	NOUN
cana-6100	119	86	in	in	ADP
cana-6100	119	87	eq.(11	eq.(11	PROPN
cana-6100	119	88	)	)	PUNCT
cana-6100	119	89	are	be	AUX
cana-6100	119	90	obtained	obtain	VERB
cana-6100	119	91	.	.	PUNCT
cana-6100	120	1	substituting	substitute	VERB
cana-6100	120	2	these	these	DET
cana-6100	120	3	terms	term	NOUN
cana-6100	120	4	with	with	ADP
cana-6100	120	5	(	(	PUNCT
cana-6100	120	6	16	16	NUM
cana-6100	120	7	)	)	PUNCT
cana-6100	120	8	and	and	CCONJ
cana-6100	120	9	(	(	PUNCT
cana-6100	120	10	17	17	NUM
cana-6100	120	11	)	)	PUNCT
cana-6100	120	12	into	into	ADP
cana-6100	120	13	the	the	DET
cana-6100	120	14	eq.(11	eq.(11	NOUN
cana-6100	120	15	)	)	PUNCT
cana-6100	120	16	,	,	PUNCT
cana-6100	120	17	we	we	PRON
cana-6100	120	18	get	get	VERB
cana-6100	120	19	a	a	DET
cana-6100	120	20	polynomial	polynomial	NOUN
cana-6100	120	21	in	in	ADP
cana-6100	120	22	zero	zero	NUM
cana-6100	120	23	.	.	PUNCT
cana-6100	121	1	we	we	PRON
cana-6100	121	2	obtain	obtain	VERB
cana-6100	121	3	a	a	DET
cana-6100	121	4	series	series	NOUN
cana-6100	121	5	of	of	ADP
cana-6100	121	6	algebraic	algebraic	ADJ
cana-6100	121	7	equations	equation	NOUN
cana-6100	121	8	by	by	ADP
cana-6100	121	9	equalizing	equalize	VERB
cana-6100	121	10	each	each	DET
cana-6100	121	11	coefficient	coefficient	NOUN
cana-6100	121	12	of	of	ADP
cana-6100	121	13	this	this	DET
cana-6100	121	14	polynomial	polynomial	NOUN
cana-6100	121	15	to	to	ADP
cana-6100	121	16	zero	zero	NUM
cana-6100	121	17	.	.	PUNCT
cana-6100	122	1	using	use	VERB
cana-6100	122	2	wave	wave	NOUN
cana-6100	122	3	solution	solution	NOUN
cana-6100	122	4	space	space	NOUN
cana-6100	122	5	(	(	PUNCT
cana-6100	122	6	12	12	NUM
cana-6100	122	7	)	)	PUNCT
cana-6100	122	8	and	and	CCONJ
cana-6100	122	9	dispersion	dispersion	NOUN
cana-6100	122	10	relation	relation	NOUN
cana-6100	122	11	(	(	PUNCT
cana-6100	122	12	14	14	NUM
cana-6100	122	13	)	)	PUNCT
cana-6100	122	14	,	,	PUNCT
cana-6100	122	15	these	these	DET
cana-6100	122	16	equations	equation	NOUN
cana-6100	122	17	may	may	AUX
cana-6100	122	18	be	be	AUX
cana-6100	122	19	solved	solve	VERB
cana-6100	122	20	by	by	ADP
cana-6100	122	21	iteration	iteration	NOUN
cana-6100	122	22	and	and	CCONJ
cana-6100	122	23	reduce	reduce	VERB
cana-6100	122	24	.	.	PUNCT
cana-6100	123	1	thus	thus	ADV
cana-6100	123	2	,	,	PUNCT
cana-6100	123	3	we	we	PRON
cana-6100	123	4	can	can	AUX
cana-6100	123	5	obtain	obtain	VERB
cana-6100	123	6	nls	nls	NOUN
cana-6100	123	7	type	type	NOUN
cana-6100	123	8	equations	equation	NOUN
cana-6100	123	9	from	from	ADP
cana-6100	123	10	eq	eq	PROPN
cana-6100	123	11	.	.	PUNCT
cana-6100	124	1	(	(	PUNCT
cana-6100	124	2	11	11	NUM
cana-6100	124	3	)	)	PUNCT
cana-6100	124	4	.	.	PUNCT
cana-6100	125	1	furthermore	furthermore	ADV
cana-6100	125	2	,	,	PUNCT
cana-6100	125	3	this	this	DET
cana-6100	125	4	approach	approach	NOUN
cana-6100	125	5	allows	allow	VERB
cana-6100	125	6	us	we	PRON
cana-6100	125	7	to	to	PART
cana-6100	125	8	obtain	obtain	VERB
cana-6100	125	9	numerical	numerical	ADJ
cana-6100	125	10	solutions	solution	NOUN
cana-6100	125	11	to	to	ADP
cana-6100	125	12	kdv	kdv	NOUN
cana-6100	125	13	-	-	PUNCT
cana-6100	125	14	type	type	NOUN
cana-6100	125	15	problems	problem	NOUN
cana-6100	125	16	.	.	PUNCT
cana-6100	126	1	3	3	X
cana-6100	126	2	.	.	X
cana-6100	126	3	applications	application	NOUN
cana-6100	126	4	3.1	3.1	NUM
cana-6100	126	5	the	the	DET
cana-6100	126	6	fifth	fifth	ADJ
cana-6100	126	7	-	-	PUNCT
cana-6100	126	8	order	order	NOUN
cana-6100	126	9	kaup	kaup	NOUN
cana-6100	126	10	-	-	PUNCT
cana-6100	126	11	kupershmidt	kupershmidt	ADJ
cana-6100	126	12	(	(	PUNCT
cana-6100	126	13	kk	kk	NOUN
cana-6100	126	14	)	)	PUNCT
cana-6100	126	15	equation	equation	NOUN
cana-6100	126	16	following	follow	VERB
cana-6100	126	17	the	the	DET
cana-6100	126	18	method	method	NOUN
cana-6100	126	19	given	give	VERB
cana-6100	126	20	in	in	ADP
cana-6100	126	21	section	section	NOUN
cana-6100	126	22	2.3	2.3	NUM
cana-6100	126	23	we	we	PRON
cana-6100	126	24	use	use	VERB
cana-6100	126	25	a	a	DET
cana-6100	126	26	multiple	multiple	ADJ
cana-6100	126	27	scales	scale	NOUN
cana-6100	126	28	method	method	NOUN
cana-6100	126	29	to	to	PART
cana-6100	126	30	derive	derive	VERB
cana-6100	126	31	the	the	DET
cana-6100	126	32	nls	nls	NOUN
cana-6100	126	33	equations	equation	NOUN
cana-6100	126	34	from	from	ADP
cana-6100	126	35	the	the	DET
cana-6100	126	36	fifth	fifth	ADJ
cana-6100	126	37	-	-	PUNCT
cana-6100	126	38	order	order	NOUN
cana-6100	126	39	kaup	kaup	NOUN
cana-6100	126	40	–	–	PUNCT
cana-6100	126	41	kupershmidt	kupershmidt	ADJ
cana-6100	126	42	(	(	PUNCT
cana-6100	126	43	kk	kk	NOUN
cana-6100	126	44	)	)	PUNCT
cana-6100	126	45	equation	equation	NOUN
cana-6100	126	46	(	(	PUNCT
cana-6100	126	47	2	2	NUM
cana-6100	126	48	)	)	PUNCT
cana-6100	126	49	.	.	PUNCT
cana-6100	127	1	to	to	PART
cana-6100	127	2	find	find	VERB
cana-6100	127	3	the	the	DET
cana-6100	127	4	dispersion	dispersion	NOUN
cana-6100	127	5	relation	relation	NOUN
cana-6100	127	6	for	for	ADP
cana-6100	127	7	(	(	PUNCT
cana-6100	127	8	2	2	NUM
cana-6100	127	9	)	)	PUNCT
cana-6100	127	10	,	,	PUNCT
cana-6100	127	11	we	we	PRON
cana-6100	127	12	consider	consider	VERB
cana-6100	127	13	the	the	DET
cana-6100	127	14	linear	linear	ADJ
cana-6100	127	15	part	part	NOUN
cana-6100	127	16	of	of	ADP
cana-6100	127	17	(	(	PUNCT
cana-6100	127	18	2	2	NUM
cana-6100	127	19	)	)	PUNCT
cana-6100	127	20	in	in	ADP
cana-6100	127	21	the	the	DET
cana-6100	127	22	form	form	NOUN
cana-6100	127	23	ut	ut	PROPN
cana-6100	127	24	=	=	PUNCT
cana-6100	127	25	uxxxxx	uxxxxx	PROPN
cana-6100	127	26	,	,	PUNCT
cana-6100	127	27	(	(	PUNCT
cana-6100	127	28	18	18	NUM
cana-6100	127	29	)	)	PUNCT
cana-6100	127	30	and	and	CCONJ
cana-6100	127	31	linear	linear	PROPN
cana-6100	127	32	differential	differential	ADJ
cana-6100	127	33	equation	equation	NOUN
cana-6100	127	34	(	(	PUNCT
cana-6100	127	35	18	18	NUM
cana-6100	127	36	)	)	PUNCT
cana-6100	127	37	satisfies	satisfy	VERB
cana-6100	127	38	the	the	DET
cana-6100	127	39	solution	solution	NOUN
cana-6100	127	40	tkwkxetxu	tkwkxetxu	NOUN
cana-6100	127	41	i	i	NOUN
cana-6100	127	42	)	)	PUNCT
cana-6100	127	43	(	(	PUNCT
cana-6100	127	44	,	,	PUNCT
cana-6100	127	45	)	)	PUNCT
cana-6100	127	46	,	,	PUNCT
cana-6100	127	47	(	(	PUNCT
cana-6100	127	48	−==	−==	PROPN
cana-6100	127	49			NOUN
cana-6100	127	50	(	(	PUNCT
cana-6100	127	51	19	19	NUM
cana-6100	127	52	)	)	PUNCT
cana-6100	127	53	substituting	substitute	VERB
cana-6100	127	54	the	the	DET
cana-6100	127	55	solution	solution	NOUN
cana-6100	127	56	(	(	PUNCT
cana-6100	127	57	19	19	NUM
cana-6100	127	58	)	)	PUNCT
cana-6100	127	59	into	into	ADP
cana-6100	127	60	the	the	DET
cana-6100	127	61	linear	linear	PROPN
cana-6100	127	62	differential	differential	NOUN
cana-6100	127	63	equation	equation	NOUN
cana-6100	127	64	(	(	PUNCT
cana-6100	127	65	18	18	NUM
cana-6100	127	66	)	)	PUNCT
cana-6100	127	67	,	,	PUNCT
cana-6100	127	68	we	we	PRON
cana-6100	127	69	get	get	VERB
cana-6100	127	70	and	and	CCONJ
cana-6100	127	71	from	from	ADP
cana-6100	127	72	this	this	PRON
cana-6100	127	73	we	we	PRON
cana-6100	127	74	reach	reach	VERB
cana-6100	127	75	the	the	DET
cana-6100	127	76	𝑤(𝑘	𝑤(𝑘	NOUN
cana-6100	127	77	)	)	PUNCT
cana-6100	127	78	=	=	SYM
cana-6100	127	79	−𝑘5	−𝑘5	PROPN
cana-6100	127	80	(	(	PUNCT
cana-6100	127	81	20	20	NUM
cana-6100	127	82	)	)	PUNCT
cana-6100	127	83	dispersion	dispersion	NOUN
cana-6100	127	84	relation	relation	NOUN
cana-6100	127	85	.	.	PUNCT
cana-6100	128	1	thus	thus	ADV
cana-6100	128	2	,	,	PUNCT
cana-6100	128	3	the	the	DET
cana-6100	128	4	solution	solution	NOUN
cana-6100	128	5	of	of	ADP
cana-6100	128	6	the	the	DET
cana-6100	128	7	linear	linear	ADJ
cana-6100	128	8	differential	differential	NOUN
cana-6100	128	9	equation	equation	NOUN
cana-6100	128	10	(	(	PUNCT
cana-6100	128	11	18	18	NUM
cana-6100	128	12	)	)	PUNCT
cana-6100	128	13	is	be	AUX
cana-6100	128	14	as	as	SCONJ
cana-6100	128	15	follows	follow	VERB
cana-6100	128	16	:	:	PUNCT
cana-6100	128	17	u	u	NOUN
cana-6100	128	18	(	(	PUNCT
cana-6100	128	19	x	x	PROPN
cana-6100	128	20	,	,	PUNCT
cana-6100	128	21	t	t	PROPN
cana-6100	128	22	)	)	PUNCT
cana-6100	129	1	=	=	SYM
cana-6100	129	2	ei(kx	ei(kx	PROPN
cana-6100	129	3	—	—	PUNCT
cana-6100	129	4	w(k)t	w(k)t	PROPN
cana-6100	129	5	)	)	PUNCT
cana-6100	129	6	,	,	PUNCT
cana-6100	129	7	(	(	PUNCT
cana-6100	129	8	21	21	NUM
cana-6100	129	9	)	)	PUNCT
cana-6100	129	10	let	let	VERB
cana-6100	129	11	the	the	DET
cana-6100	129	12	solution	solution	NOUN
cana-6100	129	13	of	of	ADP
cana-6100	129	14	eq	eq	PROPN
cana-6100	129	15	.	.	PUNCT
cana-6100	130	1	(	(	PUNCT
cana-6100	130	2	2	2	X
cana-6100	130	3	)	)	PUNCT
cana-6100	130	4	be	be	AUX
cana-6100	130	5	in	in	ADP
cana-6100	130	6	the	the	DET
cana-6100	130	7	form	form	NOUN
cana-6100	130	8	...	...	PUNCT
cana-6100	130	9	)	)	PUNCT
cana-6100	130	10	,	,	PUNCT
cana-6100	130	11	,	,	PUNCT
cana-6100	130	12	,	,	PUNCT
cana-6100	130	13	(	(	PUNCT
cana-6100	130	14	,	,	PUNCT
cana-6100	130	15	)	)	PUNCT
cana-6100	130	16	,	,	PUNCT
cana-6100	130	17	,	,	PUNCT
cana-6100	130	18	,	,	PUNCT
cana-6100	130	19	(	(	PUNCT
cana-6100	130	20	)	)	PUNCT
cana-6100	130	21	,	,	PUNCT
cana-6100	130	22	(	(	PUNCT
cana-6100	130	23	3	3	NUM
cana-6100	130	24	3	3	NUM
cana-6100	130	25	2	2	NUM
cana-6100	130	26	2	2	NUM
cana-6100	130	27	1	1	NUM
cana-6100	130	28	+	+	ADJ
cana-6100	130	29	+	+	ADJ
cana-6100	130	30	+	+	ADJ
cana-6100	130	31	=	=	NOUN
cana-6100	130	32	=	=	SYM
cana-6100	130	33	uuutxutxutxu	uuutxutxutxu	NOUN
cana-6100	130	34			PROPN
cana-6100	130	35	(	(	PUNCT
cana-6100	130	36	22	22	NUM
cana-6100	130	37	)	)	PUNCT
cana-6100	130	38	ε	ε	PROPN
cana-6100	130	39	scale	scale	NOUN
cana-6100	130	40	parameter	parameter	NOUN
cana-6100	130	41	and	and	CCONJ
cana-6100	130	42	slow	slow	ADJ
cana-6100	130	43	variables	variable	NOUN
cana-6100	130	44	communications	communication	NOUN
cana-6100	130	45	on	on	ADP
cana-6100	130	46	applied	apply	VERB
cana-6100	130	47	nonlinear	nonlinear	ADJ
cana-6100	130	48	analysis	analysis	NOUN
cana-6100	130	49	issn	issn	NOUN
cana-6100	130	50	:	:	PUNCT
cana-6100	130	51	1074	1074	NUM
cana-6100	130	52	-	-	PUNCT
cana-6100	130	53	133x	133x	NUM
cana-6100	130	54	vol	vol	VERB
cana-6100	130	55	32	32	NUM
cana-6100	130	56	no	no	NOUN
cana-6100	130	57	.	.	PUNCT
cana-6100	131	1	10s	10	NOUN
cana-6100	131	2	(	(	PUNCT
cana-6100	131	3	2025	2025	NUM
cana-6100	131	4	)	)	PUNCT
cana-6100	131	5	3380	3380	NUM
cana-6100	131	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	131	7	1	1	NUM
cana-6100	131	8	tk	tk	NOUN
cana-6100	131	9	t	t	PROPN
cana-6100	131	10	tkx	tkx	NOUN
cana-6100	131	11	tx	tx	PROPN
cana-6100	131	12	dk	dk	PROPN
cana-6100	131	13	kwd	kwd	NOUN
cana-6100	131	14	dk	dk	PROPN
cana-6100	131	15	kdw	kdw	PROPN
cana-6100	131	16	32	32	NUM
cana-6100	131	17	)	)	PUNCT
cana-6100	131	18	(	(	PUNCT
cana-6100	131	19	2	2	NUM
cana-6100	131	20	2	2	NUM
cana-6100	131	21	1	1	NUM
cana-6100	131	22	4	4	NUM
cana-6100	131	23	)	)	PUNCT
cana-6100	131	24	(	(	PUNCT
cana-6100	131	25	10	10	NUM
cana-6100	131	26	)	)	PUNCT
cana-6100	131	27	(	(	PUNCT
cana-6100	131	28	)	)	PUNCT
cana-6100	131	29	5	5	NUM
cana-6100	131	30	(	(	PUNCT
cana-6100	131	31	)	)	PUNCT
cana-6100	131	32	(	(	PUNCT
cana-6100	131	33	2	2	NUM
cana-6100	131	34	2	2	NUM
cana-6100	131	35			PROPN
cana-6100	131	36			NOUN
cana-6100	131	37			PROPN
cana-6100	131	38			NUM
cana-6100	131	39	−=	−=	NOUN
cana-6100	131	40	−=	−=	X
cana-6100	131	41	−=	−=	X
cana-6100	131	42	−=	−=	X
cana-6100	131	43	(	(	PUNCT
cana-6100	131	44	23	23	NUM
cana-6100	131	45	)	)	PUNCT
cana-6100	131	46	then	then	ADV
cana-6100	131	47	we	we	PRON
cana-6100	131	48	assume	assume	VERB
cana-6100	131	49	the	the	DET
cana-6100	131	50	following	follow	VERB
cana-6100	131	51	series	series	NOUN
cana-6100	131	52	expansions	expansion	NOUN
cana-6100	131	53	for	for	ADP
cana-6100	131	54	solutions	solution	NOUN
cana-6100	131	55	:	:	PUNCT
cana-6100	131	56	...	...	PUNCT
cana-6100	131	57	)	)	PUNCT
cana-6100	131	58	,	,	PUNCT
cana-6100	131	59	,	,	PUNCT
cana-6100	131	60	,	,	PUNCT
cana-6100	131	61	(	(	PUNCT
cana-6100	131	62	,	,	PUNCT
cana-6100	131	63	)	)	PUNCT
cana-6100	131	64	,	,	PUNCT
cana-6100	131	65	,	,	PUNCT
cana-6100	131	66	,	,	PUNCT
cana-6100	131	67	(	(	PUNCT
cana-6100	131	68	)	)	PUNCT
cana-6100	131	69	,	,	PUNCT
cana-6100	131	70	(	(	PUNCT
cana-6100	131	71	3	3	NUM
cana-6100	131	72	3	3	NUM
cana-6100	131	73	2	2	NUM
cana-6100	131	74	2	2	NUM
cana-6100	131	75	1	1	NUM
cana-6100	131	76	+	+	ADJ
cana-6100	131	77	+	+	ADJ
cana-6100	131	78	+	+	ADJ
cana-6100	131	79	=	=	NOUN
cana-6100	131	80	=	=	SYM
cana-6100	131	81	uuutxutxutxu	uuutxutxutxu	NOUN
cana-6100	131	82			PROPN
cana-6100	131	83	(	(	PUNCT
cana-6100	131	84	24	24	NUM
cana-6100	131	85	)	)	PUNCT
cana-6100	131	86	in	in	ADP
cana-6100	131	87	this	this	DET
cana-6100	131	88	case	case	NOUN
cana-6100	131	89	,	,	PUNCT
cana-6100	131	90	considering	consider	VERB
cana-6100	131	91	the	the	DET
cana-6100	131	92	transformation	transformation	NOUN
cana-6100	131	93	and	and	CCONJ
cana-6100	131	94	solution	solution	NOUN
cana-6100	131	95	in	in	ADP
cana-6100	131	96	(	(	PUNCT
cana-6100	131	97	22	22	NUM
cana-6100	131	98	)	)	PUNCT
cana-6100	131	99	,	,	PUNCT
cana-6100	131	100	using	use	VERB
cana-6100	131	101	(	(	PUNCT
cana-6100	131	102	20	20	NUM
cana-6100	131	103	)	)	PUNCT
cana-6100	131	104	and	and	CCONJ
cana-6100	131	105	(	(	PUNCT
cana-6100	131	106	23	23	NUM
cana-6100	131	107	)	)	PUNCT
cana-6100	131	108	,	,	PUNCT
cana-6100	131	109	the	the	DET
cana-6100	131	110	terms	term	NOUN
cana-6100	131	111	included	include	VERB
cana-6100	131	112	in	in	ADP
cana-6100	131	113	the	the	DET
cana-6100	131	114	derivative	derivative	NOUN
cana-6100	131	115	in	in	ADP
cana-6100	131	116	eq	eq	ADP
cana-6100	131	117	.	.	PUNCT
cana-6100	132	1	(	(	PUNCT
cana-6100	132	2	2	2	X
cana-6100	132	3	)	)	PUNCT
cana-6100	132	4	are	be	AUX
cana-6100	132	5	obtained	obtain	VERB
cana-6100	132	6	.	.	PUNCT
cana-6100	133	1	substituting	substitute	VERB
cana-6100	133	2	these	these	DET
cana-6100	133	3	terms	term	NOUN
cana-6100	133	4	and	and	CCONJ
cana-6100	133	5	(	(	PUNCT
cana-6100	133	6	22	22	NUM
cana-6100	133	7	)	)	PUNCT
cana-6100	133	8	into	into	ADP
cana-6100	133	9	eq.(2	eq.(2	ADJ
cana-6100	133	10	)	)	PUNCT
cana-6100	133	11	,	,	PUNCT
cana-6100	133	12	we	we	PRON
cana-6100	133	13	get	get	VERB
cana-6100	133	14	a	a	DET
cana-6100	133	15	polynomial	polynomial	NOUN
cana-6100	133	16	in	in	ADP
cana-6100	133	17	.	.	PUNCT
cana-6100	134	1	equalizing	equalize	VERB
cana-6100	134	2	each	each	DET
cana-6100	134	3	coefficient	coefficient	NOUN
cana-6100	134	4	of	of	ADP
cana-6100	134	5	this	this	DET
cana-6100	134	6	polynomial	polynomial	NOUN
cana-6100	134	7	to	to	ADP
cana-6100	134	8	zero	zero	NUM
cana-6100	134	9	,	,	PUNCT
cana-6100	134	10	we	we	PRON
cana-6100	134	11	get	get	VERB
cana-6100	134	12	a	a	DET
cana-6100	134	13	set	set	NOUN
cana-6100	134	14	of	of	ADP
cana-6100	134	15	algebraic	algebraic	ADJ
cana-6100	134	16	equations	equation	NOUN
cana-6100	134	17	.	.	PUNCT
cana-6100	135	1	if	if	SCONJ
cana-6100	135	2	we	we	PRON
cana-6100	135	3	let	let	VERB
cana-6100	135	4	ε	ε	PROPN
cana-6100	135	5	→	→	SYM
cana-6100	135	6	0	0	NUM
cana-6100	135	7	,	,	PUNCT
cana-6100	135	8	we	we	PRON
cana-6100	135	9	find	find	VERB
cana-6100	135	10	the	the	DET
cana-6100	135	11	following	following	NOUN
cana-6100	135	12	:	:	PUNCT
cana-6100	135	13	ε	ε	PROPN
cana-6100	135	14	:	:	PUNCT
cana-6100	135	15	u1	u1	PROPN
cana-6100	135	16	t	t	NOUN
cana-6100	135	17	—	—	PUNCT
cana-6100	135	18	u1xxxxx	u1xxxxx	NOUN
cana-6100	135	19	=	=	SYM
cana-6100	135	20	0	0	NUM
cana-6100	135	21	,	,	PUNCT
cana-6100	135	22	(	(	PUNCT
cana-6100	135	23	25	25	NUM
cana-6100	135	24	)	)	PUNCT
cana-6100	135	25	ε2	ε2	ADJ
cana-6100	135	26	:	:	PUNCT
cana-6100	135	27	u2	u2	PROPN
cana-6100	135	28	t	t	PROPN
cana-6100	135	29	+	+	CCONJ
cana-6100	135	30	u2xxxxx	u2xxxxx	PROPN
cana-6100	135	31	5k4u1	5k4u1	NUM
cana-6100	135	32	+	+	CCONJ
cana-6100	135	33	5u1	5u1	NUM
cana-6100	135	34	xxxx	xxxx	NOUN
cana-6100	136	1	+	+	CCONJ
cana-6100	136	2	10u1u1xxx	10u1u1xxx	NUM
cana-6100	136	3	+	+	CCONJ
cana-6100	136	4	25u1xu1xx	25u1xu1xx	NUM
cana-6100	136	5	=	=	SYM
cana-6100	136	6	0	0	NUM
cana-6100	136	7	,	,	PUNCT
cana-6100	136	8	(	(	PUNCT
cana-6100	136	9	26	26	NUM
cana-6100	136	10	)	)	PUNCT
cana-6100	136	11	ε3	ε3	PROPN
cana-6100	136	12	:	:	PUNCT
cana-6100	136	13	u3	u3	PROPN
cana-6100	136	14	t	t	PROPN
cana-6100	136	15	+	+	CCONJ
cana-6100	136	16	u3xxxxx	u3xxxxx	PROPN
cana-6100	136	17	5k4u2ξ	5k4u2ξ	NUM
cana-6100	136	18	—	—	PUNCT
cana-6100	136	19	10k3u1τ	10k3u1τ	NUM
cana-6100	137	1	+	+	NUM
cana-6100	137	2	5u2ξxxxx	5u2ξxxxx	NUM
cana-6100	137	3	+	+	CCONJ
cana-6100	137	4	10u1ξξxxx	10u1ξξxxx	PROPN
cana-6100	137	5	+10u1(u2xxx	+10u1(u2xxx	PROPN
cana-6100	137	6	+	+	CCONJ
cana-6100	137	7	3u1ξxx	3u1ξxx	NUM
cana-6100	137	8	)	)	PUNCT
cana-6100	138	1	+	+	CCONJ
cana-6100	139	1	10u2u1xxx	10u2u1xxx	NUM
cana-6100	139	2	+	+	CCONJ
cana-6100	139	3	25u1x(u2xx	25u1x(u2xx	NUM
cana-6100	139	4	+	+	SYM
cana-6100	139	5	2u1ξx	2u1ξx	NUM
cana-6100	139	6	)	)	PUNCT
cana-6100	139	7	+25u1xx(u2x	+25u1xx(u2x	NOUN
cana-6100	139	8	+	+	NOUN
cana-6100	139	9	2u1ξ	2u1ξ	NUM
cana-6100	139	10	)	)	PUNCT
cana-6100	140	1	+	+	CCONJ
cana-6100	140	2	20u2u1x	20u2u1x	NUM
cana-6100	140	3	=	=	SYM
cana-6100	140	4	0	0	NUM
cana-6100	141	1	(	(	PUNCT
cana-6100	141	2	27	27	NUM
cana-6100	141	3	)	)	PUNCT
cana-6100	141	4	then	then	ADV
cana-6100	141	5	,	,	PUNCT
cana-6100	141	6	we	we	PRON
cana-6100	141	7	can	can	AUX
cana-6100	141	8	find	find	VERB
cana-6100	141	9	the	the	DET
cana-6100	141	10	solution	solution	NOUN
cana-6100	141	11	of	of	ADP
cana-6100	141	12	(	(	PUNCT
cana-6100	141	13	25	25	NUM
cana-6100	141	14	)	)	PUNCT
cana-6100	141	15	as	as	SCONJ
cana-6100	141	16	follows	follow	VERB
cana-6100	141	17	u1	u1	NOUN
cana-6100	141	18	(	(	PUNCT
cana-6100	141	19	x	x	PROPN
cana-6100	141	20	,	,	PUNCT
cana-6100	141	21	t	t	PROPN
cana-6100	141	22	,	,	PUNCT
cana-6100	141	23	ξ	ξ	PROPN
cana-6100	141	24	,	,	PUNCT
cana-6100	141	25	τ	τ	X
cana-6100	141	26	)	)	PUNCT
cana-6100	141	27	=	=	SYM
cana-6100	141	28	v1	v1	NOUN
cana-6100	141	29	(	(	PUNCT
cana-6100	141	30	ξ	ξ	PROPN
cana-6100	141	31	,	,	PUNCT
cana-6100	141	32	τ	τ	NOUN
cana-6100	141	33	)	)	PUNCT
cana-6100	141	34	ei(kx	ei(kx	PROPN
cana-6100	141	35	—	—	PUNCT
cana-6100	141	36	k5	k5	PROPN
cana-6100	141	37	t	t	PROPN
cana-6100	141	38	)	)	PUNCT
cana-6100	142	1	+	+	X
cana-6100	142	2	c.c	c.c	PROPN
cana-6100	142	3	.	.	PROPN
cana-6100	142	4	(	(	PUNCT
cana-6100	142	5	28	28	NUM
cana-6100	142	6	)	)	PUNCT
cana-6100	142	7	where	where	SCONJ
cana-6100	142	8	c.c	c.c	PROPN
cana-6100	142	9	.	.	PROPN
cana-6100	142	10	is	be	AUX
cana-6100	142	11	complex	complex	ADJ
cana-6100	142	12	conjugate	conjugate	NOUN
cana-6100	142	13	of	of	ADP
cana-6100	142	14	v1	v1	NOUN
cana-6100	142	15	.	.	PUNCT
cana-6100	143	1	substituting	substitute	VERB
cana-6100	143	2	the	the	DET
cana-6100	143	3	solution	solution	NOUN
cana-6100	143	4	(	(	PUNCT
cana-6100	143	5	28	28	NUM
cana-6100	143	6	)	)	PUNCT
cana-6100	143	7	into	into	ADP
cana-6100	143	8	(	(	PUNCT
cana-6100	143	9	26	26	NUM
cana-6100	143	10	)	)	PUNCT
cana-6100	143	11	,	,	PUNCT
cana-6100	143	12	the	the	DET
cana-6100	143	13	solution	solution	NOUN
cana-6100	143	14	of	of	ADP
cana-6100	143	15	(	(	PUNCT
cana-6100	143	16	26	26	NUM
cana-6100	143	17	)	)	PUNCT
cana-6100	143	18	is	be	AUX
cana-6100	143	19	in	in	ADP
cana-6100	143	20	the	the	DET
cana-6100	143	21	form	form	NOUN
cana-6100	143	22	u2(x	u2(x	PROPN
cana-6100	143	23	,	,	PUNCT
cana-6100	143	24	t	t	PROPN
cana-6100	143	25	,	,	PUNCT
cana-6100	143	26	ξ	ξ	PROPN
cana-6100	143	27	,	,	PUNCT
cana-6100	143	28	τ	τ	X
cana-6100	143	29	)	)	PUNCT
cana-6100	143	30	=	=	SYM
cana-6100	144	1	v2(ξ	v2(ξ	NOUN
cana-6100	144	2	,	,	PUNCT
cana-6100	144	3	τ)e2i(kx−k5	τ)e2i(kx−k5	NOUN
cana-6100	144	4	t	t	NOUN
cana-6100	144	5	)	)	PUNCT
cana-6100	145	1	+	+	CCONJ
cana-6100	145	2	c.	c.	PROPN
cana-6100	145	3	c	c	PROPN
cana-6100	145	4	+	+	CCONJ
cana-6100	145	5	f0(ξ	f0(ξ	PROPN
cana-6100	145	6	,	,	PUNCT
cana-6100	145	7	τ	τ	X
cana-6100	145	8	)	)	PUNCT
cana-6100	145	9	(	(	PUNCT
cana-6100	145	10	29	29	NUM
cana-6100	145	11	)	)	PUNCT
cana-6100	145	12	where	where	SCONJ
cana-6100	145	13	f0	f0	PROPN
cana-6100	145	14	is	be	AUX
cana-6100	145	15	an	an	DET
cana-6100	145	16	integration	integration	NOUN
cana-6100	145	17	constant	constant	ADJ
cana-6100	145	18	.	.	PUNCT
cana-6100	146	1	thus	thus	ADV
cana-6100	146	2	,	,	PUNCT
cana-6100	146	3	we	we	PRON
cana-6100	146	4	get	get	VERB
cana-6100	146	5	𝑣2(𝜉	𝑣2(𝜉	NOUN
cana-6100	146	6	,	,	PUNCT
cana-6100	146	7	𝜏	𝜏	NOUN
cana-6100	146	8	)	)	PUNCT
cana-6100	146	9	=	=	NOUN
cana-6100	146	10	7𝑣1	7𝑣1	NUM
cana-6100	146	11	2(𝜉,𝜏	2(𝜉,𝜏	NUM
cana-6100	146	12	)	)	PUNCT
cana-6100	146	13	6𝑘2	6𝑘2	NUM
cana-6100	146	14	,	,	PUNCT
cana-6100	146	15	𝑣−2(𝜉	𝑣−2(𝜉	PROPN
cana-6100	146	16	,	,	PUNCT
cana-6100	146	17	𝜏	𝜏	NOUN
cana-6100	146	18	)	)	PUNCT
cana-6100	146	19	=	=	SYM
cana-6100	146	20	7𝑣−1	7𝑣−1	NUM
cana-6100	146	21	2	2	NUM
cana-6100	146	22	(	(	PUNCT
cana-6100	146	23	𝜉,𝜏	𝜉,𝜏	NOUN
cana-6100	146	24	)	)	PUNCT
cana-6100	146	25	6𝑘2	6𝑘2	NUM
cana-6100	146	26	(	(	PUNCT
cana-6100	146	27	30	30	NUM
cana-6100	146	28	)	)	PUNCT
cana-6100	146	29	where	where	SCONJ
cana-6100	146	30	v-1	v-1	PROPN
cana-6100	146	31	is	be	AUX
cana-6100	146	32	the	the	DET
cana-6100	146	33	complex	complex	ADJ
cana-6100	146	34	conjugate	conjugate	NOUN
cana-6100	146	35	of	of	ADP
cana-6100	146	36	v1	v1	NOUN
cana-6100	146	37	and	and	CCONJ
cana-6100	146	38	v-2	v-2	NOUN
cana-6100	146	39	is	be	AUX
cana-6100	146	40	the	the	DET
cana-6100	146	41	complex	complex	ADJ
cana-6100	146	42	conjugate	conjugate	NOUN
cana-6100	146	43	of	of	ADP
cana-6100	146	44	v2	v2	NOUN
cana-6100	146	45	.	.	PUNCT
cana-6100	147	1	substituting	substitute	VERB
cana-6100	147	2	solutions	solution	NOUN
cana-6100	147	3	(	(	PUNCT
cana-6100	147	4	28	28	NUM
cana-6100	147	5	)	)	PUNCT
cana-6100	147	6	,	,	PUNCT
cana-6100	147	7	(	(	PUNCT
cana-6100	147	8	29	29	NUM
cana-6100	147	9	)	)	PUNCT
cana-6100	147	10	and	and	CCONJ
cana-6100	147	11	(	(	PUNCT
cana-6100	147	12	30	30	NUM
cana-6100	147	13	)	)	PUNCT
cana-6100	147	14	into	into	ADP
cana-6100	147	15	the	the	DET
cana-6100	147	16	(	(	PUNCT
cana-6100	147	17	27	27	NUM
cana-6100	147	18	)	)	PUNCT
cana-6100	147	19	,	,	PUNCT
cana-6100	147	20	we	we	PRON
cana-6100	147	21	find	find	VERB
cana-6100	147	22	the	the	DET
cana-6100	147	23	solution	solution	NOUN
cana-6100	147	24	of	of	ADP
cana-6100	147	25	(	(	PUNCT
cana-6100	147	26	27	27	NUM
cana-6100	147	27	)	)	PUNCT
cana-6100	147	28	in	in	ADP
cana-6100	147	29	the	the	DET
cana-6100	147	30	form	form	NOUN
cana-6100	147	31	communications	communication	NOUN
cana-6100	147	32	on	on	ADP
cana-6100	147	33	applied	apply	VERB
cana-6100	147	34	nonlinear	nonlinear	ADJ
cana-6100	147	35	analysis	analysis	NOUN
cana-6100	147	36	issn	issn	NOUN
cana-6100	147	37	:	:	PUNCT
cana-6100	147	38	1074	1074	NUM
cana-6100	147	39	-	-	PUNCT
cana-6100	147	40	133x	133x	NUM
cana-6100	147	41	vol	vol	VERB
cana-6100	147	42	32	32	NUM
cana-6100	147	43	no	no	NOUN
cana-6100	147	44	.	.	PUNCT
cana-6100	148	1	10s	10	NOUN
cana-6100	148	2	(	(	PUNCT
cana-6100	148	3	2025	2025	NUM
cana-6100	148	4	)	)	PUNCT
cana-6100	148	5	3381	3381	NUM
cana-6100	148	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	148	7	𝑢3(𝑥	𝑢3(𝑥	PROPN
cana-6100	148	8	,	,	PUNCT
cana-6100	148	9	𝑡	𝑡	PROPN
cana-6100	148	10	,	,	PUNCT
cana-6100	148	11	𝜉	𝜉	X
cana-6100	148	12	,	,	PUNCT
cana-6100	148	13	𝜏	𝜏	NOUN
cana-6100	148	14	)	)	PUNCT
cana-6100	148	15	=	=	SYM
cana-6100	148	16	𝑣3(𝜉	𝑣3(𝜉	PROPN
cana-6100	148	17	,	,	PUNCT
cana-6100	148	18	𝜏)𝑒3𝑖(𝑘𝑥−𝑘5𝑡	𝜏)𝑒3𝑖(𝑘𝑥−𝑘5𝑡	ADJ
cana-6100	148	19	)	)	PUNCT
cana-6100	149	1	+	+	CCONJ
cana-6100	150	1	𝑐.	𝑐.	NOUN
cana-6100	150	2	𝑐	𝑐	PROPN
cana-6100	150	3	+	+	CCONJ
cana-6100	150	4	𝑓1(𝜉	𝑓1(𝜉	PROPN
cana-6100	150	5	,	,	PUNCT
cana-6100	150	6	𝜏)𝑒2𝑖(𝑘𝑥−𝑘5𝑡	𝜏)𝑒2𝑖(𝑘𝑥−𝑘5𝑡	PROPN
cana-6100	150	7	)	)	PUNCT
cana-6100	151	1	+	+	CCONJ
cana-6100	152	1	𝑓2(𝜉	𝑓2(𝜉	ADJ
cana-6100	152	2	,	,	PUNCT
cana-6100	152	3	𝜏)𝑒−2𝑖(𝑘𝑥−𝑘5𝑡	𝜏)𝑒−2𝑖(𝑘𝑥−𝑘5𝑡	PROPN
cana-6100	152	4	)	)	PUNCT
cana-6100	152	5	(	(	PUNCT
cana-6100	152	6	31	31	NUM
cana-6100	152	7	)	)	PUNCT
cana-6100	152	8	where	where	SCONJ
cana-6100	152	9	ƒ1	ƒ1	NOUN
cana-6100	152	10	and	and	CCONJ
cana-6100	152	11	ƒ2	ƒ2	PROPN
cana-6100	152	12	is	be	AUX
cana-6100	152	13	integration	integration	NOUN
cana-6100	152	14	constant	constant	ADJ
cana-6100	152	15	and	and	CCONJ
cana-6100	152	16	v-3	v-3	NOUN
cana-6100	152	17	is	be	AUX
cana-6100	152	18	the	the	DET
cana-6100	152	19	complex	complex	ADJ
cana-6100	152	20	conjugate	conjugate	NOUN
cana-6100	152	21	of	of	ADP
cana-6100	152	22	v3	v3	PROPN
cana-6100	152	23	.	.	PUNCT
cana-6100	153	1	then	then	ADV
cana-6100	153	2	we	we	PRON
cana-6100	153	3	get	get	VERB
cana-6100	153	4	𝑣3(𝜉	𝑣3(𝜉	PROPN
cana-6100	153	5	,	,	PUNCT
cana-6100	153	6	𝜏	𝜏	NOUN
cana-6100	153	7	)	)	PUNCT
cana-6100	153	8	=	=	SYM
cana-6100	154	1	13𝑣1	13𝑣1	NUM
cana-6100	154	2	3(𝜉,𝜏	3(𝜉,𝜏	ADJ
cana-6100	154	3	)	)	PUNCT
cana-6100	154	4	12𝑘4	12𝑘4	NUM
cana-6100	154	5	,	,	PUNCT
cana-6100	154	6	𝑣−3(𝜉	𝑣−3(𝜉	PROPN
cana-6100	154	7	,	,	PUNCT
cana-6100	154	8	𝜏	𝜏	NOUN
cana-6100	154	9	)	)	PUNCT
cana-6100	154	10	=	=	SYM
cana-6100	155	1	13𝑣−1	13𝑣−1	NUM
cana-6100	155	2	3	3	NUM
cana-6100	155	3	(	(	PUNCT
cana-6100	155	4	𝜉,𝜏	𝜉,𝜏	NOUN
cana-6100	155	5	)	)	PUNCT
cana-6100	155	6	12𝑘4	12𝑘4	NUM
cana-6100	155	7	(	(	PUNCT
cana-6100	155	8	32	32	NUM
cana-6100	155	9	)	)	PUNCT
cana-6100	155	10	f0(ξ	f0(ξ	PROPN
cana-6100	155	11	,	,	PUNCT
cana-6100	155	12	τ	τ	X
cana-6100	155	13	)	)	PUNCT
cana-6100	155	14	=	=	SYM
cana-6100	155	15	6v1(ξ	6v1(ξ	NUM
cana-6100	155	16	,	,	PUNCT
cana-6100	155	17	τ)v−1(ξ	τ)v−1(ξ	PROPN
cana-6100	155	18	,	,	PUNCT
cana-6100	155	19	τ	τ	PROPN
cana-6100	155	20	)	)	PUNCT
cana-6100	155	21	𝑘2	𝑘2	PROPN
cana-6100	155	22	f1(ξ	f1(ξ	PROPN
cana-6100	155	23	,	,	PUNCT
cana-6100	155	24	τ	τ	X
cana-6100	155	25	)	)	PUNCT
cana-6100	155	26	=	=	PUNCT
cana-6100	155	27	−7iv−1(ξ	−7iv−1(ξ	PRON
cana-6100	155	28	,	,	PUNCT
cana-6100	155	29	τ)v−1ξ(ξ	τ)v−1ξ(ξ	NUM
cana-6100	155	30	,	,	PUNCT
cana-6100	155	31	τ	τ	X
cana-6100	155	32	)	)	PUNCT
cana-6100	155	33	3k3	3k3	NUM
cana-6100	156	1	f2(ξ	f2(ξ	PROPN
cana-6100	156	2	,	,	PUNCT
cana-6100	156	3	τ	τ	X
cana-6100	156	4	)	)	PUNCT
cana-6100	156	5	=	=	SYM
cana-6100	156	6	7iv1(ξ	7iv1(ξ	NUM
cana-6100	156	7	,	,	PUNCT
cana-6100	156	8	τ)v1ξ(ξ	τ)v1ξ(ξ	NOUN
cana-6100	156	9	,	,	PUNCT
cana-6100	156	10	τ	τ	PROPN
cana-6100	156	11	)	)	PUNCT
cana-6100	156	12	3k3	3k3	NUM
cana-6100	156	13	and	and	CCONJ
cana-6100	156	14	2	2	NUM
cana-6100	156	15	11	11	NUM
cana-6100	156	16	2	2	NUM
cana-6100	156	17	11	11	NUM
cana-6100	156	18	11	11	NUM
cana-6100	156	19	2	2	NUM
cana-6100	156	20	11	11	NUM
cana-6100	156	21	2	2	NUM
cana-6100	156	22	2	2	NUM
cana-6100	156	23	vvviv	vvviv	NOUN
cana-6100	156	24	vvviv	vvviv	PROPN
cana-6100	157	1	k	k	PROPN
cana-6100	158	1	k	k	PROPN
cana-6100	158	2	−=	−=	PROPN
cana-6100	158	3	−=	−=	ADP
cana-6100	158	4	−	−	PROPN
cana-6100	158	5			X
cana-6100	158	6			X
cana-6100	158	7	(	(	PUNCT
cana-6100	158	8	33	33	NUM
cana-6100	158	9	)	)	PUNCT
cana-6100	158	10	describing	describe	VERB
cana-6100	158	11	as	as	ADP
cana-6100	158	12	k	k	PROPN
cana-6100	158	13	v	v	ADP
cana-6100	158	14	q	q	X
cana-6100	158	15	1=	1=	NOUN
cana-6100	158	16	and	and	CCONJ
cana-6100	158	17	k	k	PROPN
cana-6100	158	18	v	v	NOUN
cana-6100	158	19	q	q	PROPN
cana-6100	158	20	1	1	NUM
cana-6100	158	21	1	1	NUM
cana-6100	158	22	−=−	−=−	NUM
cana-6100	158	23	(	(	PUNCT
cana-6100	158	24	33	33	NUM
cana-6100	158	25	)	)	PUNCT
cana-6100	158	26	equation	equation	NOUN
cana-6100	158	27	,	,	PUNCT
cana-6100	158	28	we	we	PRON
cana-6100	158	29	get	get	VERB
cana-6100	158	30	the	the	DET
cana-6100	158	31	nls	nls	NOUN
cana-6100	158	32	type	type	NOUN
cana-6100	158	33	equations	equation	NOUN
cana-6100	158	34	in	in	ADP
cana-6100	158	35	the	the	DET
cana-6100	158	36	form	form	NOUN
cana-6100	158	37	22	22	NUM
cana-6100	158	38	qqqiq	qqqiq	NOUN
cana-6100	158	39	−=	−=	VERB
cana-6100	158	40			PUNCT
cana-6100	158	41	(	(	PUNCT
cana-6100	158	42	34	34	NUM
cana-6100	158	43	)	)	PUNCT
cana-6100	158	44	also	also	ADV
cana-6100	158	45	,	,	PUNCT
cana-6100	158	46	the	the	DET
cana-6100	158	47	numerical	numerical	ADJ
cana-6100	158	48	solution	solution	NOUN
cana-6100	158	49	of	of	ADP
cana-6100	158	50	the	the	DET
cana-6100	158	51	(	(	PUNCT
cana-6100	158	52	1	1	NUM
cana-6100	158	53	+	+	NUM
cana-6100	158	54	1	1	NUM
cana-6100	158	55	)	)	PUNCT
cana-6100	158	56	fifth	fifth	ADV
cana-6100	158	57	-	-	PUNCT
cana-6100	158	58	dimensional	dimensional	ADJ
cana-6100	158	59	kaup	kaup	NOUN
cana-6100	158	60	–	–	PUNCT
cana-6100	158	61	kupershmidt	kupershmidt	ADJ
cana-6100	158	62	(	(	PUNCT
cana-6100	158	63	kk	kk	NOUN
cana-6100	158	64	)	)	PUNCT
cana-6100	158	65	equation	equation	NOUN
cana-6100	158	66	(	(	PUNCT
cana-6100	158	67	2	2	X
cana-6100	158	68	)	)	PUNCT
cana-6100	158	69	is	be	AUX
cana-6100	158	70	found	find	VERB
cana-6100	158	71	as	as	ADP
cana-6100	158	72	𝑢(𝑥	𝑢(𝑥	PROPN
cana-6100	158	73	,	,	PUNCT
cana-6100	158	74	𝑡	𝑡	X
cana-6100	158	75	)	)	PUNCT
cana-6100	158	76	=	=	SYM
cana-6100	158	77	𝜀𝑘(𝑞(𝜉	𝜀𝑘(𝑞(𝜉	NOUN
cana-6100	158	78	,	,	PUNCT
cana-6100	158	79	𝜏)𝑒𝑖𝜃	𝜏)𝑒𝑖𝜃	X
cana-6100	158	80	+	+	CCONJ
cana-6100	158	81	𝑞−1(𝜉	𝑞−1(𝜉	PROPN
cana-6100	158	82	,	,	PUNCT
cana-6100	158	83	𝜏)𝑒−𝑖𝜃	𝜏)𝑒−𝑖𝜃	NOUN
cana-6100	158	84	)	)	PUNCT
cana-6100	159	1	+	+	NOUN
cana-6100	159	2	𝜀2(3𝑞(𝜉	𝜀2(3𝑞(𝜉	PROPN
cana-6100	159	3	,	,	PUNCT
cana-6100	159	4	𝜏)𝑞−1	𝜏)𝑞−1	X
cana-6100	159	5	(	(	PUNCT
cana-6100	159	6	𝜉	𝜉	PROPN
cana-6100	159	7	,	,	PUNCT
cana-6100	159	8	𝜏	𝜏	NOUN
cana-6100	159	9	)	)	PUNCT
cana-6100	159	10	+	+	CCONJ
cana-6100	159	11	6	6	NUM
cana-6100	159	12	7	7	NUM
cana-6100	159	13	𝑞2(𝜉	𝑞2(𝜉	NOUN
cana-6100	159	14	,	,	PUNCT
cana-6100	159	15	𝜏)𝑒2𝑖𝜃	𝜏)𝑒2𝑖𝜃	NOUN
cana-6100	159	16	)	)	PUNCT
cana-6100	159	17	+	+	CCONJ
cana-6100	159	18	6	6	NUM
cana-6100	159	19	7	7	NUM
cana-6100	159	20	𝑞−1	𝑞−1	PROPN
cana-6100	159	21	2	2	NUM
cana-6100	159	22	(	(	PUNCT
cana-6100	159	23	𝜉	𝜉	NOUN
cana-6100	159	24	,	,	PUNCT
cana-6100	159	25	𝜏)𝑒−2𝑖𝜃	𝜏)𝑒−2𝑖𝜃	NOUN
cana-6100	159	26	)	)	PUNCT
cana-6100	159	27	+	+	PROPN
cana-6100	159	28	𝑘𝜀3(−	𝑘𝜀3(−	PROPN
cana-6100	159	29	7	7	NUM
cana-6100	159	30	3	3	NUM
cana-6100	159	31	𝑖𝑞−1(𝜉	𝑖𝑞−1(𝜉	ADJ
cana-6100	159	32	,	,	PUNCT
cana-6100	159	33	𝜏)𝑞−1(𝜉	𝜏)𝑞−1(𝜉	PROPN
cana-6100	159	34	,	,	PUNCT
cana-6100	159	35	𝜏)𝑒−2𝑖𝜃	𝜏)𝑒−2𝑖𝜃	NOUN
cana-6100	159	36	+	+	CCONJ
cana-6100	159	37	7	7	NUM
cana-6100	159	38	3	3	NUM
cana-6100	159	39	𝑖𝑞(𝜉	𝑖𝑞(𝜉	PUNCT
cana-6100	159	40	,	,	PUNCT
cana-6100	159	41	𝜏)𝑞𝜉(𝜉	𝜏)𝑞𝜉(𝜉	NOUN
cana-6100	159	42	,	,	PUNCT
cana-6100	159	43	𝜏)𝑒−2𝑖𝜃	𝜏)𝑒−2𝑖𝜃	NOUN
cana-6100	159	44	)	)	PUNCT
cana-6100	159	45	−𝑘𝜀3	−𝑘𝜀3	NOUN
cana-6100	159	46	13	13	NUM
cana-6100	159	47	12	12	NUM
cana-6100	159	48	(	(	PUNCT
cana-6100	159	49	𝑞3(𝜉	𝑞3(𝜉	ADJ
cana-6100	159	50	,	,	PUNCT
cana-6100	159	51	𝜏)𝑒2𝑖𝜃	𝜏)𝑒2𝑖𝜃	NOUN
cana-6100	159	52	)	)	PUNCT
cana-6100	159	53	+	+	CCONJ
cana-6100	159	54	𝑞−1	𝑞−1	PROPN
cana-6100	159	55	3	3	NUM
cana-6100	159	56	(	(	PUNCT
cana-6100	159	57	𝜉	𝜉	PROPN
cana-6100	159	58	,	,	PUNCT
cana-6100	159	59	𝜏)𝑒−2𝑖𝜃	𝜏)𝑒−2𝑖𝜃	NOUN
cana-6100	159	60	)	)	PUNCT
cana-6100	159	61	(	(	PUNCT
cana-6100	159	62	35	35	NUM
cana-6100	159	63	)	)	PUNCT
cana-6100	159	64	where	where	SCONJ
cana-6100	159	65	q	q	NOUN
cana-6100	159	66	is	be	AUX
cana-6100	159	67	solution	solution	NOUN
cana-6100	159	68	of	of	ADP
cana-6100	159	69	nls	nls	NOUN
cana-6100	159	70	equation	equation	NOUN
cana-6100	159	71	.	.	PUNCT
cana-6100	160	1	3.2	3.2	NUM
cana-6100	160	2	the	the	DET
cana-6100	160	3	seventh	seventh	ADJ
cana-6100	160	4	-	-	PUNCT
cana-6100	160	5	order	order	NOUN
cana-6100	160	6	kaup	kaup	NOUN
cana-6100	160	7	-	-	PUNCT
cana-6100	160	8	kupershmidt	kupershmidt	ADJ
cana-6100	160	9	(	(	PUNCT
cana-6100	160	10	kk	kk	NOUN
cana-6100	160	11	)	)	PUNCT
cana-6100	160	12	equation	equation	NOUN
cana-6100	160	13	following	follow	VERB
cana-6100	160	14	the	the	DET
cana-6100	160	15	method	method	NOUN
cana-6100	160	16	given	give	VERB
cana-6100	160	17	in	in	ADP
cana-6100	160	18	section	section	NOUN
cana-6100	160	19	2.3	2.3	NUM
cana-6100	160	20	we	we	PRON
cana-6100	160	21	use	use	VERB
cana-6100	160	22	a	a	DET
cana-6100	160	23	multiple	multiple	ADJ
cana-6100	160	24	scales	scale	NOUN
cana-6100	160	25	method	method	NOUN
cana-6100	160	26	to	to	PART
cana-6100	160	27	derive	derive	VERB
cana-6100	160	28	the	the	DET
cana-6100	160	29	nls	nls	NOUN
cana-6100	160	30	equations	equation	NOUN
cana-6100	160	31	from	from	ADP
cana-6100	160	32	the	the	DET
cana-6100	160	33	seventh	seventh	ADJ
cana-6100	160	34	-	-	PUNCT
cana-6100	160	35	order	order	NOUN
cana-6100	160	36	kaup	kaup	NOUN
cana-6100	160	37	–	–	PUNCT
cana-6100	160	38	kupershmidt	kupershmidt	ADJ
cana-6100	160	39	(	(	PUNCT
cana-6100	160	40	kk	kk	NOUN
cana-6100	160	41	)	)	PUNCT
cana-6100	160	42	equation	equation	NOUN
cana-6100	160	43	(	(	PUNCT
cana-6100	160	44	10	10	NUM
cana-6100	160	45	)	)	PUNCT
cana-6100	160	46	.	.	PUNCT
cana-6100	161	1	to	to	PART
cana-6100	161	2	find	find	VERB
cana-6100	161	3	dispersion	dispersion	NOUN
cana-6100	161	4	relation	relation	NOUN
cana-6100	161	5	for	for	ADP
cana-6100	161	6	(	(	PUNCT
cana-6100	161	7	10	10	NUM
cana-6100	161	8	)	)	PUNCT
cana-6100	161	9	,	,	PUNCT
cana-6100	161	10	we	we	PRON
cana-6100	161	11	consider	consider	VERB
cana-6100	161	12	the	the	DET
cana-6100	161	13	linear	linear	ADJ
cana-6100	161	14	part	part	NOUN
cana-6100	161	15	of	of	ADP
cana-6100	161	16	(	(	PUNCT
cana-6100	161	17	10	10	NUM
cana-6100	161	18	)	)	PUNCT
cana-6100	161	19	in	in	ADP
cana-6100	161	20	the	the	DET
cana-6100	161	21	form	form	NOUN
cana-6100	161	22	ut	ut	PROPN
cana-6100	161	23	=	=	SYM
cana-6100	161	24	uxxxxxxx	uxxxxxxx	PROPN
cana-6100	161	25	,	,	PUNCT
cana-6100	161	26	(	(	PUNCT
cana-6100	161	27	36	36	NUM
cana-6100	161	28	)	)	PUNCT
cana-6100	161	29	and	and	CCONJ
cana-6100	161	30	linear	linear	PROPN
cana-6100	161	31	differential	differential	ADJ
cana-6100	161	32	equation	equation	NOUN
cana-6100	161	33	(	(	PUNCT
cana-6100	161	34	18	18	NUM
cana-6100	161	35	)	)	PUNCT
cana-6100	161	36	satisfies	satisfy	VERB
cana-6100	161	37	the	the	DET
cana-6100	161	38	solution	solution	NOUN
cana-6100	161	39	tkwkxetxu	tkwkxetxu	NOUN
cana-6100	161	40	i	i	NOUN
cana-6100	161	41	)	)	PUNCT
cana-6100	161	42	(	(	PUNCT
cana-6100	161	43	,	,	PUNCT
cana-6100	161	44	)	)	PUNCT
cana-6100	161	45	,	,	PUNCT
cana-6100	161	46	(	(	PUNCT
cana-6100	161	47	−==	−==	PROPN
cana-6100	161	48			NOUN
cana-6100	161	49	(	(	PUNCT
cana-6100	161	50	37	37	NUM
cana-6100	161	51	)	)	PUNCT
cana-6100	161	52	substituting	substitute	VERB
cana-6100	161	53	the	the	DET
cana-6100	161	54	solution	solution	NOUN
cana-6100	161	55	(	(	PUNCT
cana-6100	161	56	19	19	NUM
cana-6100	161	57	)	)	PUNCT
cana-6100	161	58	into	into	ADP
cana-6100	161	59	the	the	DET
cana-6100	161	60	linear	linear	PROPN
cana-6100	161	61	differential	differential	NOUN
cana-6100	161	62	equation	equation	NOUN
cana-6100	161	63	(	(	PUNCT
cana-6100	161	64	18	18	NUM
cana-6100	161	65	)	)	PUNCT
cana-6100	161	66	,	,	PUNCT
cana-6100	161	67	we	we	PRON
cana-6100	161	68	get	get	VERB
cana-6100	161	69	and	and	CCONJ
cana-6100	161	70	from	from	ADP
cana-6100	161	71	this	this	PRON
cana-6100	161	72	we	we	PRON
cana-6100	161	73	reach	reach	VERB
cana-6100	161	74	the	the	DET
cana-6100	161	75	communications	communication	NOUN
cana-6100	161	76	on	on	ADP
cana-6100	161	77	applied	apply	VERB
cana-6100	161	78	nonlinear	nonlinear	ADJ
cana-6100	161	79	analysis	analysis	NOUN
cana-6100	161	80	issn	issn	NOUN
cana-6100	161	81	:	:	PUNCT
cana-6100	161	82	1074	1074	NUM
cana-6100	161	83	-	-	PUNCT
cana-6100	161	84	133x	133x	NUM
cana-6100	161	85	vol	vol	VERB
cana-6100	161	86	32	32	NUM
cana-6100	161	87	no	no	NOUN
cana-6100	161	88	.	.	PUNCT
cana-6100	162	1	10s	10	NOUN
cana-6100	162	2	(	(	PUNCT
cana-6100	162	3	2025	2025	NUM
cana-6100	162	4	)	)	PUNCT
cana-6100	162	5	3382	3382	NUM
cana-6100	162	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	162	7	𝑤(𝑘	𝑤(𝑘	X
cana-6100	162	8	)	)	PUNCT
cana-6100	162	9	=	=	SYM
cana-6100	163	1	𝑘7	𝑘7	NOUN
cana-6100	163	2	(	(	PUNCT
cana-6100	163	3	38	38	NUM
cana-6100	163	4	)	)	PUNCT
cana-6100	163	5	dispersion	dispersion	NOUN
cana-6100	163	6	relation	relation	NOUN
cana-6100	163	7	.	.	PUNCT
cana-6100	164	1	thus	thus	ADV
cana-6100	164	2	,	,	PUNCT
cana-6100	164	3	the	the	DET
cana-6100	164	4	solution	solution	NOUN
cana-6100	164	5	of	of	ADP
cana-6100	164	6	the	the	DET
cana-6100	164	7	linear	linear	ADJ
cana-6100	164	8	differential	differential	NOUN
cana-6100	164	9	equation	equation	NOUN
cana-6100	164	10	(	(	PUNCT
cana-6100	164	11	18	18	NUM
cana-6100	164	12	)	)	PUNCT
cana-6100	164	13	is	be	AUX
cana-6100	164	14	as	as	SCONJ
cana-6100	164	15	follows	follow	VERB
cana-6100	164	16	:	:	PUNCT
cana-6100	164	17	u	u	NOUN
cana-6100	164	18	(	(	PUNCT
cana-6100	164	19	x	x	PROPN
cana-6100	164	20	,	,	PUNCT
cana-6100	164	21	t	t	PROPN
cana-6100	164	22	)	)	PUNCT
cana-6100	165	1	=	=	SYM
cana-6100	165	2	ei(kx	ei(kx	PROPN
cana-6100	165	3	—	—	PUNCT
cana-6100	165	4	w(k)t	w(k)t	PROPN
cana-6100	165	5	)	)	PUNCT
cana-6100	165	6	,	,	PUNCT
cana-6100	165	7	(	(	PUNCT
cana-6100	165	8	39	39	NUM
cana-6100	165	9	)	)	PUNCT
cana-6100	165	10	let	let	VERB
cana-6100	165	11	the	the	DET
cana-6100	165	12	solution	solution	NOUN
cana-6100	165	13	of	of	ADP
cana-6100	165	14	eq	eq	PROPN
cana-6100	165	15	.	.	PUNCT
cana-6100	166	1	(	(	PUNCT
cana-6100	166	2	10	10	NUM
cana-6100	166	3	)	)	PUNCT
cana-6100	166	4	be	be	AUX
cana-6100	166	5	in	in	ADP
cana-6100	166	6	the	the	DET
cana-6100	166	7	form	form	NOUN
cana-6100	166	8	...	...	PUNCT
cana-6100	166	9	)	)	PUNCT
cana-6100	166	10	,	,	PUNCT
cana-6100	166	11	,	,	PUNCT
cana-6100	166	12	,	,	PUNCT
cana-6100	166	13	(	(	PUNCT
cana-6100	166	14	,	,	PUNCT
cana-6100	166	15	)	)	PUNCT
cana-6100	166	16	,	,	PUNCT
cana-6100	166	17	,	,	PUNCT
cana-6100	166	18	,	,	PUNCT
cana-6100	166	19	(	(	PUNCT
cana-6100	166	20	)	)	PUNCT
cana-6100	166	21	,	,	PUNCT
cana-6100	166	22	(	(	PUNCT
cana-6100	166	23	3	3	NUM
cana-6100	166	24	3	3	NUM
cana-6100	166	25	2	2	NUM
cana-6100	166	26	2	2	NUM
cana-6100	166	27	1	1	NUM
cana-6100	166	28	+	+	ADJ
cana-6100	166	29	+	+	ADJ
cana-6100	166	30	+	+	ADJ
cana-6100	166	31	=	=	NOUN
cana-6100	166	32	=	=	SYM
cana-6100	166	33	uuutxutxutxu	uuutxutxutxu	NOUN
cana-6100	166	34			PROPN
cana-6100	166	35	(	(	PUNCT
cana-6100	166	36	40	40	NUM
cana-6100	166	37	)	)	PUNCT
cana-6100	166	38	ε	ε	PROPN
cana-6100	166	39	scale	scale	NOUN
cana-6100	166	40	parameter	parameter	NOUN
cana-6100	166	41	and	and	CCONJ
cana-6100	166	42	slow	slow	ADJ
cana-6100	166	43	variables	variable	NOUN
cana-6100	166	44	(	(	PUNCT
cana-6100	166	45	)	)	PUNCT
cana-6100	166	46	(	(	PUNCT
cana-6100	166	47	)	)	PUNCT
cana-6100	166	48	t	t	NOUN
cana-6100	166	49	dk	dk	PROPN
cana-6100	166	50	rkwd	rkwd	PROPN
cana-6100	166	51	t	t	PROPN
cana-6100	166	52	dk	dk	PROPN
cana-6100	166	53	rkdw	rkdw	NOUN
cana-6100	166	54	x	x	PROPN
cana-6100	166	55			PROPN
cana-6100	166	56			NOUN
cana-6100	167	1			PROPN
cana-6100	167	2			PROPN
cana-6100	167	3			PROPN
cana-6100	167	4			NOUN
cana-6100	167	5	−=	−=	NOUN
cana-6100	167	6			PROPN
cana-6100	167	7			NOUN
cana-6100	167	8			PROPN
cana-6100	167	9			PROPN
cana-6100	168	1			PROPN
cana-6100	168	2			NOUN
cana-6100	168	3	−=	−=	NOUN
cana-6100	168	4	2	2	NUM
cana-6100	168	5	2	2	NUM
cana-6100	168	6	2	2	NUM
cana-6100	168	7	2	2	NUM
cana-6100	168	8	1	1	NUM
cana-6100	168	9	,	,	PUNCT
cana-6100	168	10	,	,	PUNCT
cana-6100	168	11			PROPN
cana-6100	168	12			NUM
cana-6100	168	13	(	(	PUNCT
cana-6100	168	14	41	41	NUM
cana-6100	168	15	)	)	PUNCT
cana-6100	168	16	then	then	ADV
cana-6100	168	17	we	we	PRON
cana-6100	168	18	assume	assume	VERB
cana-6100	168	19	the	the	DET
cana-6100	168	20	following	follow	VERB
cana-6100	168	21	series	series	NOUN
cana-6100	168	22	expansions	expansion	NOUN
cana-6100	168	23	for	for	ADP
cana-6100	168	24	solutions	solution	NOUN
cana-6100	168	25	:	:	PUNCT
cana-6100	168	26	...	...	PUNCT
cana-6100	168	27	)	)	PUNCT
cana-6100	168	28	,	,	PUNCT
cana-6100	168	29	,	,	PUNCT
cana-6100	168	30	,	,	PUNCT
cana-6100	168	31	(	(	PUNCT
cana-6100	168	32	,	,	PUNCT
cana-6100	168	33	)	)	PUNCT
cana-6100	168	34	,	,	PUNCT
cana-6100	168	35	,	,	PUNCT
cana-6100	168	36	,	,	PUNCT
cana-6100	168	37	(	(	PUNCT
cana-6100	168	38	)	)	PUNCT
cana-6100	168	39	,	,	PUNCT
cana-6100	168	40	(	(	PUNCT
cana-6100	168	41	3	3	NUM
cana-6100	168	42	3	3	NUM
cana-6100	168	43	2	2	NUM
cana-6100	168	44	2	2	NUM
cana-6100	168	45	1	1	NUM
cana-6100	168	46	+	+	ADJ
cana-6100	168	47	+	+	ADJ
cana-6100	168	48	+	+	ADJ
cana-6100	168	49	=	=	NOUN
cana-6100	168	50	=	=	SYM
cana-6100	168	51	uuutxutxutxu	uuutxutxutxu	NOUN
cana-6100	168	52			PROPN
cana-6100	168	53	(	(	PUNCT
cana-6100	168	54	42	42	NUM
cana-6100	168	55	)	)	PUNCT
cana-6100	168	56	in	in	ADP
cana-6100	168	57	this	this	DET
cana-6100	168	58	case	case	NOUN
cana-6100	168	59	,	,	PUNCT
cana-6100	168	60	considering	consider	VERB
cana-6100	168	61	the	the	DET
cana-6100	168	62	transformation	transformation	NOUN
cana-6100	168	63	and	and	CCONJ
cana-6100	168	64	solution	solution	NOUN
cana-6100	168	65	in	in	ADP
cana-6100	168	66	(	(	PUNCT
cana-6100	168	67	22	22	NUM
cana-6100	168	68	)	)	PUNCT
cana-6100	168	69	,	,	PUNCT
cana-6100	168	70	using	use	VERB
cana-6100	168	71	(	(	PUNCT
cana-6100	168	72	20	20	NUM
cana-6100	168	73	)	)	PUNCT
cana-6100	168	74	and	and	CCONJ
cana-6100	168	75	(	(	PUNCT
cana-6100	168	76	23	23	NUM
cana-6100	168	77	)	)	PUNCT
cana-6100	168	78	,	,	PUNCT
cana-6100	168	79	the	the	DET
cana-6100	168	80	terms	term	NOUN
cana-6100	168	81	included	include	VERB
cana-6100	168	82	in	in	ADP
cana-6100	168	83	the	the	DET
cana-6100	168	84	derivative	derivative	NOUN
cana-6100	168	85	in	in	ADP
cana-6100	168	86	eq	eq	ADP
cana-6100	168	87	.	.	PUNCT
cana-6100	169	1	(	(	PUNCT
cana-6100	169	2	2	2	X
cana-6100	169	3	)	)	PUNCT
cana-6100	169	4	are	be	AUX
cana-6100	169	5	obtained	obtain	VERB
cana-6100	169	6	.	.	PUNCT
cana-6100	170	1	substituting	substitute	VERB
cana-6100	170	2	these	these	DET
cana-6100	170	3	terms	term	NOUN
cana-6100	170	4	and	and	CCONJ
cana-6100	170	5	(	(	PUNCT
cana-6100	170	6	22	22	NUM
cana-6100	170	7	)	)	PUNCT
cana-6100	170	8	into	into	ADP
cana-6100	170	9	eq.(10	eq.(10	ADJ
cana-6100	170	10	)	)	PUNCT
cana-6100	170	11	,	,	PUNCT
cana-6100	170	12	we	we	PRON
cana-6100	170	13	get	get	VERB
cana-6100	170	14	a	a	DET
cana-6100	170	15	polynomial	polynomial	NOUN
cana-6100	170	16	in	in	ADP
cana-6100	170	17	.	.	PUNCT
cana-6100	171	1	equalizing	equalize	VERB
cana-6100	171	2	each	each	DET
cana-6100	171	3	coefficient	coefficient	NOUN
cana-6100	171	4	of	of	ADP
cana-6100	171	5	this	this	DET
cana-6100	171	6	polynomial	polynomial	NOUN
cana-6100	171	7	to	to	ADP
cana-6100	171	8	zero	zero	NUM
cana-6100	171	9	,	,	PUNCT
cana-6100	171	10	we	we	PRON
cana-6100	171	11	get	get	VERB
cana-6100	171	12	a	a	DET
cana-6100	171	13	set	set	NOUN
cana-6100	171	14	of	of	ADP
cana-6100	171	15	algebraic	algebraic	ADJ
cana-6100	171	16	equations	equation	NOUN
cana-6100	171	17	.	.	PUNCT
cana-6100	172	1	if	if	SCONJ
cana-6100	172	2	we	we	PRON
cana-6100	172	3	let	let	VERB
cana-6100	172	4	ε	ε	PROPN
cana-6100	172	5	→	→	SYM
cana-6100	172	6	0	0	NUM
cana-6100	172	7	,	,	PUNCT
cana-6100	172	8	we	we	PRON
cana-6100	172	9	find	find	VERB
cana-6100	172	10	the	the	DET
cana-6100	172	11	following	following	NOUN
cana-6100	172	12	:	:	PUNCT
cana-6100	172	13	ε	ε	PROPN
cana-6100	172	14	:	:	PUNCT
cana-6100	172	15	u1	u1	PROPN
cana-6100	172	16	t	t	PROPN
cana-6100	172	17	+	+	CCONJ
cana-6100	172	18	u1xxxxxxx	u1xxxxxxx	NOUN
cana-6100	172	19	=	=	SYM
cana-6100	172	20	0	0	NUM
cana-6100	172	21	,	,	PUNCT
cana-6100	172	22	(	(	PUNCT
cana-6100	172	23	43	43	NUM
cana-6100	172	24	)	)	PUNCT
cana-6100	172	25	ε2	ε2	PROPN
cana-6100	172	26	∶	∶	PROPN
cana-6100	172	27	u2	u2	PROPN
cana-6100	172	28	t	t	PROPN
cana-6100	172	29	−	−	NUM
cana-6100	172	30	7k6u1ξ	7k6u1ξ	NUM
cana-6100	172	31	−	−	NOUN
cana-6100	172	32	u2xxxxxxx	u2xxxxxxx	ADJ
cana-6100	172	33	−	−	PROPN
cana-6100	172	34	7u1xxxxxxξ	7u1xxxxxxξ	NOUN
cana-6100	172	35	−	−	PROPN
cana-6100	172	36	42u1u1xxxxx	42u1u1xxxxx	NOUN
cana-6100	172	37	−	−	PROPN
cana-6100	172	38	147u1xu1xxxx	147u1xu1xxxx	NUM
cana-6100	172	39	−	−	PROPN
cana-6100	173	1	252u1xxu1xxx	252u1xxu1xxx	NUM
cana-6100	173	2	=	=	SYM
cana-6100	173	3	0	0	NUM
cana-6100	173	4	(	(	PUNCT
cana-6100	173	5	44	44	NUM
cana-6100	173	6	)	)	PUNCT
cana-6100	173	7	𝜀3	𝜀3	NOUN
cana-6100	173	8	∶	∶	NOUN
cana-6100	173	9	𝑢3𝑡	𝑢3𝑡	PUNCT
cana-6100	173	10	−	−	NOUN
cana-6100	173	11	7𝑘6𝑢2𝜉	7𝑘6𝑢2𝜉	PROPN
cana-6100	173	12	−	−	PROPN
cana-6100	173	13	21𝑘5𝑢1𝜏	21𝑘5𝑢1𝜏	NUM
cana-6100	173	14	−	−	NOUN
cana-6100	173	15	𝑢3𝑥𝑥𝑥𝑥𝑥𝑥𝑥	𝑢3𝑥𝑥𝑥𝑥𝑥𝑥𝑥	NOUN
cana-6100	173	16	−	−	NOUN
cana-6100	173	17	7𝑢2𝑥𝑥𝑥𝑥𝑥𝑥𝜉	7𝑢2𝑥𝑥𝑥𝑥𝑥𝑥𝜉	NOUN
cana-6100	173	18	−21𝑢1𝑥𝑥𝑥𝑥𝑥𝜉𝜉	−21𝑢1𝑥𝑥𝑥𝑥𝑥𝜉𝜉	NOUN
cana-6100	173	19	−	−	NUM
cana-6100	173	20	42𝑢1(𝑢2𝑥𝑥𝑥𝑥𝑥	42𝑢1(𝑢2𝑥𝑥𝑥𝑥𝑥	NUM
cana-6100	173	21	+	+	NUM
cana-6100	173	22	5𝑢1𝑥𝑥𝑥𝑥𝜉	5𝑢1𝑥𝑥𝑥𝑥𝜉	NUM
cana-6100	173	23	)	)	PUNCT
cana-6100	174	1	−	−	PROPN
cana-6100	174	2	42𝑢2𝑢1𝑥𝑥𝑥𝑥𝑥	42𝑢2𝑢1𝑥𝑥𝑥𝑥𝑥	NOUN
cana-6100	175	1	−147𝑢1𝑥(𝑢2𝑥𝑥𝑥𝑥	−147𝑢1𝑥(𝑢2𝑥𝑥𝑥𝑥	NOUN
cana-6100	176	1	+	+	NUM
cana-6100	176	2	4𝑢1𝑥𝑥𝑥𝜉	4𝑢1𝑥𝑥𝑥𝜉	NUM
cana-6100	176	3	)	)	PUNCT
cana-6100	176	4	−	−	PROPN
cana-6100	177	1	147(𝑢2𝑥	147(𝑢2𝑥	NUM
cana-6100	177	2	+	+	NUM
cana-6100	177	3	𝑢1𝜉)𝑢1𝑥𝑥𝑥𝑥	𝑢1𝜉)𝑢1𝑥𝑥𝑥𝑥	NUM
cana-6100	177	4	−252𝑢1𝑥𝑥(𝑢2𝑥𝑥𝑥	−252𝑢1𝑥𝑥(𝑢2𝑥𝑥𝑥	NOUN
cana-6100	177	5	+	+	CCONJ
cana-6100	177	6	3𝑢1𝑥𝑥𝜉	3𝑢1𝑥𝑥𝜉	NUM
cana-6100	177	7	)	)	PUNCT
cana-6100	178	1	−	−	NOUN
cana-6100	178	2	252(𝑢2𝑥𝑥	252(𝑢2𝑥𝑥	NUM
cana-6100	179	1	+	+	CCONJ
cana-6100	179	2	2𝑢1𝑥𝜉)𝑢1𝑥𝑥𝑥	2𝑢1𝑥𝜉)𝑢1𝑥𝑥𝑥	NUM
cana-6100	179	3	−504𝑢1	−504𝑢1	NOUN
cana-6100	179	4	2𝑢1𝑥𝑥𝑥	2𝑢1𝑥𝑥𝑥	NUM
cana-6100	179	5	−	−	NOUN
cana-6100	180	1	2268𝑢1𝑢1𝑥𝑢1𝑥𝑥	2268𝑢1𝑢1𝑥𝑢1𝑥𝑥	NUM
cana-6100	180	2	−	−	NUM
cana-6100	181	1	630𝑢1𝑥	630𝑢1𝑥	NUM
cana-6100	181	2	3	3	NUM
cana-6100	181	3	=	=	SYM
cana-6100	181	4	0	0	NUM
cana-6100	182	1	(	(	PUNCT
cana-6100	182	2	45	45	NUM
cana-6100	182	3	)	)	PUNCT
cana-6100	182	4	then	then	ADV
cana-6100	182	5	,	,	PUNCT
cana-6100	182	6	we	we	PRON
cana-6100	182	7	can	can	AUX
cana-6100	182	8	find	find	VERB
cana-6100	182	9	the	the	DET
cana-6100	182	10	solution	solution	NOUN
cana-6100	182	11	of	of	ADP
cana-6100	182	12	(	(	PUNCT
cana-6100	182	13	43	43	NUM
cana-6100	182	14	)	)	PUNCT
cana-6100	182	15	as	as	SCONJ
cana-6100	182	16	follows	follow	VERB
cana-6100	182	17	u1	u1	NOUN
cana-6100	182	18	(	(	PUNCT
cana-6100	182	19	x	x	PROPN
cana-6100	182	20	,	,	PUNCT
cana-6100	182	21	t	t	PROPN
cana-6100	182	22	,	,	PUNCT
cana-6100	182	23	ξ	ξ	PROPN
cana-6100	182	24	,	,	PUNCT
cana-6100	182	25	τ	τ	X
cana-6100	182	26	)	)	PUNCT
cana-6100	182	27	=	=	SYM
cana-6100	182	28	v1	v1	NOUN
cana-6100	182	29	(	(	PUNCT
cana-6100	182	30	ξ	ξ	PROPN
cana-6100	182	31	,	,	PUNCT
cana-6100	182	32	τ	τ	NOUN
cana-6100	182	33	)	)	PUNCT
cana-6100	182	34	ei(kx	ei(kx	PROPN
cana-6100	182	35	—	—	PUNCT
cana-6100	182	36	k7	k7	PROPN
cana-6100	182	37	t	t	PROPN
cana-6100	182	38	)	)	PUNCT
cana-6100	182	39	+	+	X
cana-6100	182	40	c.c	c.c	PROPN
cana-6100	182	41	.	.	PROPN
cana-6100	182	42	(	(	PUNCT
cana-6100	182	43	46	46	NUM
cana-6100	182	44	)	)	PUNCT
cana-6100	182	45	where	where	SCONJ
cana-6100	182	46	c.c	c.c	PROPN
cana-6100	182	47	.	.	PROPN
cana-6100	182	48	is	be	AUX
cana-6100	182	49	complex	complex	ADJ
cana-6100	182	50	conjugate	conjugate	NOUN
cana-6100	182	51	of	of	ADP
cana-6100	182	52	v1	v1	NOUN
cana-6100	182	53	.	.	PUNCT
cana-6100	183	1	substituting	substitute	VERB
cana-6100	183	2	the	the	DET
cana-6100	183	3	solution	solution	NOUN
cana-6100	183	4	(	(	PUNCT
cana-6100	183	5	46	46	NUM
cana-6100	183	6	)	)	PUNCT
cana-6100	183	7	into	into	ADP
cana-6100	183	8	(	(	PUNCT
cana-6100	183	9	44	44	NUM
cana-6100	183	10	)	)	PUNCT
cana-6100	183	11	,	,	PUNCT
cana-6100	183	12	the	the	DET
cana-6100	183	13	solution	solution	NOUN
cana-6100	183	14	of	of	ADP
cana-6100	183	15	(	(	PUNCT
cana-6100	183	16	44	44	NUM
cana-6100	183	17	)	)	PUNCT
cana-6100	183	18	is	be	AUX
cana-6100	183	19	in	in	ADP
cana-6100	183	20	the	the	DET
cana-6100	183	21	form	form	NOUN
cana-6100	183	22	u2(x	u2(x	PROPN
cana-6100	183	23	,	,	PUNCT
cana-6100	183	24	t	t	PROPN
cana-6100	183	25	,	,	PUNCT
cana-6100	183	26	ξ	ξ	PROPN
cana-6100	183	27	,	,	PUNCT
cana-6100	183	28	τ	τ	X
cana-6100	183	29	)	)	PUNCT
cana-6100	183	30	=	=	SYM
cana-6100	184	1	v2(ξ	v2(ξ	NOUN
cana-6100	184	2	,	,	PUNCT
cana-6100	184	3	τ)e2i(kx−k7	τ)e2i(kx−k7	NOUN
cana-6100	184	4	t	t	NOUN
cana-6100	184	5	)	)	PUNCT
cana-6100	185	1	+	+	CCONJ
cana-6100	185	2	c.	c.	PROPN
cana-6100	185	3	c	c	PROPN
cana-6100	185	4	+	+	CCONJ
cana-6100	185	5	f0(ξ	f0(ξ	PROPN
cana-6100	185	6	,	,	PUNCT
cana-6100	185	7	τ	τ	X
cana-6100	185	8	)	)	PUNCT
cana-6100	185	9	(	(	PUNCT
cana-6100	185	10	47	47	NUM
cana-6100	185	11	)	)	PUNCT
cana-6100	185	12	where	where	SCONJ
cana-6100	185	13	ƒ0	ƒ0	NOUN
cana-6100	185	14	is	be	AUX
cana-6100	185	15	integration	integration	NOUN
cana-6100	185	16	constant	constant	ADJ
cana-6100	185	17	.	.	PUNCT
cana-6100	186	1	thus	thus	ADV
cana-6100	186	2	,	,	PUNCT
cana-6100	186	3	we	we	PRON
cana-6100	186	4	get	get	VERB
cana-6100	186	5	communications	communication	NOUN
cana-6100	186	6	on	on	ADP
cana-6100	186	7	applied	apply	VERB
cana-6100	186	8	nonlinear	nonlinear	ADJ
cana-6100	186	9	analysis	analysis	NOUN
cana-6100	186	10	issn	issn	NOUN
cana-6100	186	11	:	:	PUNCT
cana-6100	186	12	1074	1074	NUM
cana-6100	186	13	-	-	PUNCT
cana-6100	186	14	133x	133x	NUM
cana-6100	186	15	vol	vol	VERB
cana-6100	186	16	32	32	NUM
cana-6100	186	17	no	no	NOUN
cana-6100	186	18	.	.	PUNCT
cana-6100	187	1	10s	10	NOUN
cana-6100	187	2	(	(	PUNCT
cana-6100	187	3	2025	2025	NUM
cana-6100	187	4	)	)	PUNCT
cana-6100	187	5	3383	3383	NUM
cana-6100	187	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	188	1	𝑣2(𝜉	𝑣2(𝜉	NUM
cana-6100	188	2	,	,	PUNCT
cana-6100	188	3	𝜏	𝜏	NOUN
cana-6100	188	4	)	)	PUNCT
cana-6100	188	5	=	=	NOUN
cana-6100	188	6	7𝑣1	7𝑣1	NUM
cana-6100	188	7	2(𝜉,𝜏	2(𝜉,𝜏	NUM
cana-6100	188	8	)	)	PUNCT
cana-6100	188	9	2𝑘2	2𝑘2	NUM
cana-6100	188	10	,	,	PUNCT
cana-6100	188	11	𝑣−2(𝜉	𝑣−2(𝜉	PROPN
cana-6100	188	12	,	,	PUNCT
cana-6100	188	13	𝜏	𝜏	NOUN
cana-6100	188	14	)	)	PUNCT
cana-6100	188	15	=	=	SYM
cana-6100	189	1	7𝑣−1	7𝑣−1	NUM
cana-6100	189	2	2	2	NUM
cana-6100	189	3	(	(	PUNCT
cana-6100	189	4	𝜉,𝜏	𝜉,𝜏	NOUN
cana-6100	189	5	)	)	PUNCT
cana-6100	189	6	2𝑘2	2𝑘2	NUM
cana-6100	189	7	(	(	PUNCT
cana-6100	189	8	48	48	NUM
cana-6100	189	9	)	)	PUNCT
cana-6100	189	10	where	where	SCONJ
cana-6100	189	11	v-1	v-1	PROPN
cana-6100	189	12	is	be	AUX
cana-6100	189	13	the	the	DET
cana-6100	189	14	complex	complex	ADJ
cana-6100	189	15	conjugate	conjugate	NOUN
cana-6100	189	16	of	of	ADP
cana-6100	189	17	v1	v1	NOUN
cana-6100	189	18	and	and	CCONJ
cana-6100	189	19	v-2	v-2	NOUN
cana-6100	189	20	is	be	AUX
cana-6100	189	21	the	the	DET
cana-6100	189	22	complex	complex	ADJ
cana-6100	189	23	conjugate	conjugate	NOUN
cana-6100	189	24	of	of	ADP
cana-6100	189	25	v2	v2	NOUN
cana-6100	189	26	.	.	PUNCT
cana-6100	190	1	substituting	substitute	VERB
cana-6100	190	2	solutions	solution	NOUN
cana-6100	190	3	(	(	PUNCT
cana-6100	190	4	46	46	NUM
cana-6100	190	5	)	)	PUNCT
cana-6100	190	6	,	,	PUNCT
cana-6100	190	7	(	(	PUNCT
cana-6100	190	8	47	47	NUM
cana-6100	190	9	)	)	PUNCT
cana-6100	190	10	and	and	CCONJ
cana-6100	190	11	(	(	PUNCT
cana-6100	190	12	48	48	NUM
cana-6100	190	13	)	)	PUNCT
cana-6100	190	14	into	into	ADP
cana-6100	190	15	the	the	DET
cana-6100	190	16	(	(	PUNCT
cana-6100	190	17	45	45	NUM
cana-6100	190	18	)	)	PUNCT
cana-6100	190	19	,	,	PUNCT
cana-6100	190	20	we	we	PRON
cana-6100	190	21	find	find	VERB
cana-6100	190	22	the	the	DET
cana-6100	190	23	solution	solution	NOUN
cana-6100	190	24	of	of	ADP
cana-6100	190	25	(	(	PUNCT
cana-6100	190	26	45	45	NUM
cana-6100	190	27	)	)	PUNCT
cana-6100	190	28	in	in	ADP
cana-6100	190	29	the	the	DET
cana-6100	190	30	form	form	NOUN
cana-6100	190	31	𝑢3(𝑥	𝑢3(𝑥	PROPN
cana-6100	190	32	,	,	PUNCT
cana-6100	190	33	𝑡	𝑡	PROPN
cana-6100	190	34	,	,	PUNCT
cana-6100	190	35	𝜉	𝜉	X
cana-6100	190	36	,	,	PUNCT
cana-6100	190	37	𝜏	𝜏	NOUN
cana-6100	190	38	)	)	PUNCT
cana-6100	190	39	=	=	SYM
cana-6100	191	1	𝑣3(𝜉	𝑣3(𝜉	ADJ
cana-6100	191	2	,	,	PUNCT
cana-6100	191	3	𝜏)𝑒3𝑖(𝑘𝑥−𝑘7𝑡	𝜏)𝑒3𝑖(𝑘𝑥−𝑘7𝑡	ADJ
cana-6100	191	4	)	)	PUNCT
cana-6100	192	1	+	+	CCONJ
cana-6100	193	1	𝑐.	𝑐.	NOUN
cana-6100	193	2	𝑐	𝑐	PROPN
cana-6100	193	3	+	+	SYM
cana-6100	193	4	𝑓1(𝜉	𝑓1(𝜉	PROPN
cana-6100	193	5	,	,	PUNCT
cana-6100	193	6	𝜏)𝑒2𝑖(𝑘𝑥−𝑘7𝑡	𝜏)𝑒2𝑖(𝑘𝑥−𝑘7𝑡	X
cana-6100	193	7	)	)	PUNCT
cana-6100	193	8	+	+	CCONJ
cana-6100	194	1	𝑓2(𝜉	𝑓2(𝜉	NOUN
cana-6100	194	2	,	,	PUNCT
cana-6100	194	3	𝜏)𝑒−2𝑖(𝑘𝑥−𝑘7𝑡	𝜏)𝑒−2𝑖(𝑘𝑥−𝑘7𝑡	ADJ
cana-6100	194	4	)	)	PUNCT
cana-6100	194	5	(	(	PUNCT
cana-6100	194	6	49	49	NUM
cana-6100	194	7	)	)	PUNCT
cana-6100	194	8	where	where	SCONJ
cana-6100	194	9	ƒ1	ƒ1	NOUN
cana-6100	194	10	and	and	CCONJ
cana-6100	194	11	ƒ2	ƒ2	PROPN
cana-6100	194	12	is	be	AUX
cana-6100	194	13	integration	integration	NOUN
cana-6100	194	14	constant	constant	ADJ
cana-6100	194	15	and	and	CCONJ
cana-6100	194	16	v-3	v-3	NOUN
cana-6100	194	17	is	be	AUX
cana-6100	194	18	the	the	DET
cana-6100	194	19	complex	complex	ADJ
cana-6100	194	20	conjugate	conjugate	NOUN
cana-6100	194	21	of	of	ADP
cana-6100	194	22	v3	v3	PROPN
cana-6100	194	23	.	.	PUNCT
cana-6100	195	1	then	then	ADV
cana-6100	195	2	we	we	PRON
cana-6100	195	3	get	get	VERB
cana-6100	195	4	𝑣3(𝜉	𝑣3(𝜉	PROPN
cana-6100	195	5	,	,	PUNCT
cana-6100	195	6	𝜏	𝜏	NOUN
cana-6100	195	7	)	)	PUNCT
cana-6100	195	8	=	=	NOUN
cana-6100	196	1	39𝑣1	39𝑣1	NUM
cana-6100	196	2	3(𝜉,𝜏	3(𝜉,𝜏	ADJ
cana-6100	196	3	)	)	PUNCT
cana-6100	196	4	4𝑘4	4𝑘4	NUM
cana-6100	196	5	,	,	PUNCT
cana-6100	196	6	𝑣−3(𝜉	𝑣−3(𝜉	PROPN
cana-6100	196	7	,	,	PUNCT
cana-6100	196	8	𝜏	𝜏	NOUN
cana-6100	196	9	)	)	PUNCT
cana-6100	196	10	=	=	SYM
cana-6100	197	1	39𝑣−1	39𝑣−1	NUM
cana-6100	197	2	3	3	NUM
cana-6100	197	3	(	(	PUNCT
cana-6100	197	4	𝜉,𝜏	𝜉,𝜏	NOUN
cana-6100	197	5	)	)	PUNCT
cana-6100	197	6	4𝑘4	4𝑘4	NUM
cana-6100	197	7	(	(	PUNCT
cana-6100	197	8	50	50	NUM
cana-6100	197	9	)	)	PUNCT
cana-6100	197	10	f0(ξ	f0(ξ	PROPN
cana-6100	197	11	,	,	PUNCT
cana-6100	197	12	τ	τ	X
cana-6100	197	13	)	)	PUNCT
cana-6100	197	14	=	=	SYM
cana-6100	197	15	−6v1(ξ	−6v1(ξ	ADJ
cana-6100	197	16	,	,	PUNCT
cana-6100	197	17	τ)v−1(ξ	τ)v−1(ξ	PROPN
cana-6100	197	18	,	,	PUNCT
cana-6100	197	19	τ	τ	X
cana-6100	197	20	)	)	PUNCT
cana-6100	197	21	k	k	PROPN
cana-6100	198	1	f2(ξ	f2(ξ	PROPN
cana-6100	198	2	,	,	PUNCT
cana-6100	198	3	τ	τ	PROPN
cana-6100	198	4	)	)	PUNCT
cana-6100	198	5	=	=	PUNCT
cana-6100	198	6	−7iv−1(ξ	−7iv−1(ξ	PRON
cana-6100	198	7	,	,	PUNCT
cana-6100	198	8	τ)v−1ξ(ξ	τ)v−1ξ(ξ	NUM
cana-6100	198	9	,	,	PUNCT
cana-6100	198	10	τ	τ	X
cana-6100	198	11	)	)	PUNCT
cana-6100	198	12	k3	k3	VERB
cana-6100	198	13	f3(ξ	f3(ξ	PROPN
cana-6100	198	14	,	,	PUNCT
cana-6100	198	15	τ	τ	X
cana-6100	198	16	)	)	PUNCT
cana-6100	198	17	=	=	SYM
cana-6100	198	18	7iv1(ξ	7iv1(ξ	NUM
cana-6100	198	19	,	,	PUNCT
cana-6100	198	20	τ)v1ξ(ξ	τ)v1ξ(ξ	NOUN
cana-6100	198	21	,	,	PUNCT
cana-6100	198	22	τ	τ	X
cana-6100	198	23	)	)	PUNCT
cana-6100	198	24	k3	k3	ADJ
cana-6100	198	25	and	and	CCONJ
cana-6100	198	26	2	2	NUM
cana-6100	198	27	11	11	NUM
cana-6100	198	28	2	2	NUM
cana-6100	198	29	11	11	NUM
cana-6100	198	30	11	11	NUM
cana-6100	198	31	2	2	NUM
cana-6100	198	32	11	11	NUM
cana-6100	198	33	2	2	NUM
cana-6100	198	34	2	2	NUM
cana-6100	198	35	vvviv	vvviv	NOUN
cana-6100	198	36	vvviv	vvviv	PROPN
cana-6100	199	1	k	k	PROPN
cana-6100	199	2	k	k	PROPN
cana-6100	199	3	−=	−=	PROPN
cana-6100	199	4	−=	−=	ADP
cana-6100	199	5	−	−	PROPN
cana-6100	199	6			X
cana-6100	199	7			X
cana-6100	199	8	(	(	PUNCT
cana-6100	199	9	51	51	NUM
cana-6100	199	10	)	)	PUNCT
cana-6100	199	11	describing	describe	VERB
cana-6100	199	12	as	as	ADP
cana-6100	199	13	k	k	PROPN
cana-6100	199	14	v	v	ADP
cana-6100	199	15	q	q	X
cana-6100	199	16	1=	1=	NOUN
cana-6100	199	17	and	and	CCONJ
cana-6100	199	18	k	k	PROPN
cana-6100	199	19	v	v	NOUN
cana-6100	199	20	q	q	PROPN
cana-6100	199	21	1	1	NUM
cana-6100	199	22	1	1	NUM
cana-6100	199	23	−=−	−=−	NUM
cana-6100	199	24	(	(	PUNCT
cana-6100	199	25	51	51	NUM
cana-6100	199	26	)	)	PUNCT
cana-6100	199	27	equation	equation	NOUN
cana-6100	199	28	,	,	PUNCT
cana-6100	199	29	we	we	PRON
cana-6100	199	30	get	get	VERB
cana-6100	199	31	the	the	DET
cana-6100	199	32	nls	nls	NOUN
cana-6100	199	33	type	type	NOUN
cana-6100	199	34	equations	equation	NOUN
cana-6100	199	35	in	in	ADP
cana-6100	199	36	the	the	DET
cana-6100	199	37	form	form	NOUN
cana-6100	199	38	22	22	NUM
cana-6100	199	39	qqqiq	qqqiq	NOUN
cana-6100	199	40	−=	−=	VERB
cana-6100	199	41			PUNCT
cana-6100	199	42	(	(	PUNCT
cana-6100	199	43	52	52	NUM
cana-6100	199	44	)	)	PUNCT
cana-6100	199	45	also	also	ADV
cana-6100	199	46	,	,	PUNCT
cana-6100	199	47	numerical	numerical	ADJ
cana-6100	199	48	solution	solution	NOUN
cana-6100	199	49	of	of	ADP
cana-6100	199	50	the	the	DET
cana-6100	199	51	(	(	PUNCT
cana-6100	199	52	1	1	NUM
cana-6100	199	53	+	+	NOUN
cana-6100	199	54	1	1	NUM
cana-6100	199	55	)	)	PUNCT
cana-6100	199	56	seventh	seventh	ADJ
cana-6100	199	57	-	-	PUNCT
cana-6100	199	58	dimensional	dimensional	ADJ
cana-6100	199	59	kaup	kaup	NOUN
cana-6100	199	60	–	–	PUNCT
cana-6100	199	61	kupershmidt	kupershmidt	ADJ
cana-6100	199	62	equation	equation	NOUN
cana-6100	199	63	(	(	PUNCT
cana-6100	199	64	kk	kk	NOUN
cana-6100	199	65	)	)	PUNCT
cana-6100	199	66	equation	equation	NOUN
cana-6100	199	67	(	(	PUNCT
cana-6100	199	68	8)	8)	NUM
cana-6100	199	69	is	be	AUX
cana-6100	199	70	found	find	VERB
cana-6100	199	71	as	as	ADP
cana-6100	199	72	𝑢(𝑥	𝑢(𝑥	PROPN
cana-6100	199	73	,	,	PUNCT
cana-6100	199	74	𝑡	𝑡	X
cana-6100	199	75	)	)	PUNCT
cana-6100	199	76	=	=	SYM
cana-6100	199	77	𝜀𝑘(𝑞(𝜉	𝜀𝑘(𝑞(𝜉	NOUN
cana-6100	199	78	,	,	PUNCT
cana-6100	199	79	𝜏)𝑒𝑖𝜃	𝜏)𝑒𝑖𝜃	X
cana-6100	199	80	+	+	CCONJ
cana-6100	199	81	𝑞−1(𝜉	𝑞−1(𝜉	PROPN
cana-6100	199	82	,	,	PUNCT
cana-6100	199	83	𝜏)𝑒−𝑖𝜃	𝜏)𝑒−𝑖𝜃	NOUN
cana-6100	199	84	)	)	PUNCT
cana-6100	200	1	+	+	NOUN
cana-6100	200	2	𝜀2(−6𝑞(𝜉	𝜀2(−6𝑞(𝜉	PROPN
cana-6100	200	3	,	,	PUNCT
cana-6100	200	4	𝜏)𝑞−1	𝜏)𝑞−1	PROPN
cana-6100	200	5	(	(	PUNCT
cana-6100	200	6	𝜉	𝜉	PROPN
cana-6100	200	7	,	,	PUNCT
cana-6100	200	8	𝜏	𝜏	NOUN
cana-6100	200	9	)	)	PUNCT
cana-6100	200	10	+	+	NOUN
cana-6100	200	11	7𝑞2(𝜉	7𝑞2(𝜉	NUM
cana-6100	200	12	,	,	PUNCT
cana-6100	200	13	𝜏)𝑒2𝑖𝜃	𝜏)𝑒2𝑖𝜃	NOUN
cana-6100	200	14	+	+	CCONJ
cana-6100	200	15	7𝑞−1	7𝑞−1	NUM
cana-6100	200	16	2	2	NUM
cana-6100	200	17	(	(	PUNCT
cana-6100	200	18	𝜉	𝜉	X
cana-6100	200	19	,	,	PUNCT
cana-6100	200	20	𝜏)𝑒−2𝑖𝜃	𝜏)𝑒−2𝑖𝜃	NOUN
cana-6100	200	21	)	)	PUNCT
cana-6100	200	22	+	+	PROPN
cana-6100	200	23	𝑘𝜀3(−7𝑖𝑞−1(𝜉	𝑘𝜀3(−7𝑖𝑞−1(𝜉	PROPN
cana-6100	200	24	,	,	PUNCT
cana-6100	200	25	𝜏)𝑞−1(𝜉	𝜏)𝑞−1(𝜉	PROPN
cana-6100	200	26	,	,	PUNCT
cana-6100	200	27	𝜏)𝑒−2𝑖𝜃	𝜏)𝑒−2𝑖𝜃	NOUN
cana-6100	200	28	+	+	NUM
cana-6100	200	29	7𝑖𝑞(𝜉	7𝑖𝑞(𝜉	NUM
cana-6100	200	30	,	,	PUNCT
cana-6100	200	31	𝜏)𝑞−1(𝜉	𝜏)𝑞−1(𝜉	PROPN
cana-6100	200	32	,	,	PUNCT
cana-6100	200	33	𝜏)𝑒−2𝑖𝜃	𝜏)𝑒−2𝑖𝜃	NOUN
cana-6100	200	34	)	)	PUNCT
cana-6100	200	35	−𝑘𝜀3	−𝑘𝜀3	NOUN
cana-6100	200	36	39	39	NUM
cana-6100	200	37	4	4	NUM
cana-6100	200	38	(	(	PUNCT
cana-6100	200	39	𝑞3(𝜉	𝑞3(𝜉	ADJ
cana-6100	200	40	,	,	PUNCT
cana-6100	200	41	𝜏)𝑒2𝑖𝜃	𝜏)𝑒2𝑖𝜃	NOUN
cana-6100	200	42	)	)	PUNCT
cana-6100	200	43	+	+	CCONJ
cana-6100	200	44	𝑞−1	𝑞−1	PROPN
cana-6100	200	45	3	3	NUM
cana-6100	200	46	(	(	PUNCT
cana-6100	200	47	𝜉	𝜉	PROPN
cana-6100	200	48	,	,	PUNCT
cana-6100	200	49	𝜏)𝑒−2𝑖𝜃	𝜏)𝑒−2𝑖𝜃	NOUN
cana-6100	200	50	)	)	PUNCT
cana-6100	200	51	(	(	PUNCT
cana-6100	200	52	53	53	NUM
cana-6100	200	53	)	)	PUNCT
cana-6100	200	54	4	4	NUM
cana-6100	200	55	.	.	X
cana-6100	201	1	conclusion	conclusion	NOUN
cana-6100	201	2	the	the	DET
cana-6100	201	3	multiple	multiple	ADJ
cana-6100	201	4	scales	scale	NOUN
cana-6100	201	5	method	method	NOUN
cana-6100	201	6	,	,	PUNCT
cana-6100	201	7	which	which	PRON
cana-6100	201	8	is	be	AUX
cana-6100	201	9	a	a	DET
cana-6100	201	10	perturbation	perturbation	NOUN
cana-6100	201	11	method	method	NOUN
cana-6100	201	12	,	,	PUNCT
cana-6100	201	13	is	be	AUX
cana-6100	201	14	used	use	VERB
cana-6100	201	15	to	to	PART
cana-6100	201	16	find	find	VERB
cana-6100	201	17	approximate	approximate	ADJ
cana-6100	201	18	solutions	solution	NOUN
cana-6100	201	19	of	of	ADP
cana-6100	201	20	nonlinear	nonlinear	ADJ
cana-6100	201	21	evolution	evolution	NOUN
cana-6100	201	22	equations	equation	NOUN
cana-6100	201	23	.	.	PUNCT
cana-6100	202	1	this	this	DET
cana-6100	202	2	method	method	NOUN
cana-6100	202	3	allows	allow	VERB
cana-6100	202	4	us	we	PRON
cana-6100	202	5	to	to	PART
cana-6100	202	6	find	find	VERB
cana-6100	202	7	the	the	DET
cana-6100	202	8	solution	solution	NOUN
cana-6100	202	9	of	of	ADP
cana-6100	202	10	the	the	DET
cana-6100	202	11	communications	communication	NOUN
cana-6100	202	12	on	on	ADP
cana-6100	202	13	applied	apply	VERB
cana-6100	202	14	nonlinear	nonlinear	ADJ
cana-6100	202	15	analysis	analysis	NOUN
cana-6100	202	16	issn	issn	NOUN
cana-6100	202	17	:	:	PUNCT
cana-6100	202	18	1074	1074	NUM
cana-6100	202	19	-	-	PUNCT
cana-6100	202	20	133x	133x	NUM
cana-6100	202	21	vol	vol	VERB
cana-6100	202	22	32	32	NUM
cana-6100	202	23	no	no	NOUN
cana-6100	202	24	.	.	PUNCT
cana-6100	203	1	10s	10	NOUN
cana-6100	203	2	(	(	PUNCT
cana-6100	203	3	2025	2025	NUM
cana-6100	203	4	)	)	PUNCT
cana-6100	203	5	3384	3384	NUM
cana-6100	203	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	203	7	given	give	VERB
cana-6100	203	8	nonlinear	nonlinear	ADJ
cana-6100	203	9	equation	equation	NOUN
cana-6100	203	10	depending	depend	VERB
cana-6100	203	11	on	on	ADP
cana-6100	203	12	the	the	DET
cana-6100	203	13	solution	solution	NOUN
cana-6100	203	14	of	of	ADP
cana-6100	203	15	the	the	DET
cana-6100	203	16	linear	linear	ADJ
cana-6100	203	17	part	part	NOUN
cana-6100	203	18	by	by	ADP
cana-6100	203	19	using	use	VERB
cana-6100	203	20	multiple	multiple	ADJ
cana-6100	203	21	scales	scale	NOUN
cana-6100	203	22	,	,	PUNCT
cana-6100	203	23	which	which	PRON
cana-6100	203	24	are	be	AUX
cana-6100	203	25	defined	define	VERB
cana-6100	203	26	as	as	ADP
cana-6100	203	27	the	the	DET
cana-6100	203	28	slow	slow	ADJ
cana-6100	203	29	variables	variable	NOUN
cana-6100	203	30	and	and	CCONJ
cana-6100	203	31	depend	depend	VERB
cana-6100	203	32	on	on	ADP
cana-6100	203	33	a	a	DET
cana-6100	203	34	parameter	parameter	NOUN
cana-6100	203	35	,	,	PUNCT
cana-6100	203	36	in	in	ADP
cana-6100	203	37	time	time	NOUN
cana-6100	203	38	and	and	CCONJ
cana-6100	203	39	space	space	NOUN
cana-6100	203	40	variables	variable	NOUN
cana-6100	203	41	.	.	PUNCT
cana-6100	204	1	first	first	ADV
cana-6100	204	2	,	,	PUNCT
cana-6100	204	3	zakharov	zakharov	ADJ
cana-6100	204	4	and	and	CCONJ
cana-6100	204	5	kuznetsov	kuznetsov	PROPN
cana-6100	204	6	showed	show	VERB
cana-6100	204	7	that	that	SCONJ
cana-6100	204	8	integrable	integrable	ADJ
cana-6100	204	9	systems	system	NOUN
cana-6100	204	10	can	can	AUX
cana-6100	204	11	be	be	AUX
cana-6100	204	12	reduced	reduce	VERB
cana-6100	204	13	to	to	ADP
cana-6100	204	14	other	other	ADJ
cana-6100	204	15	integrable	integrable	ADJ
cana-6100	204	16	systems	system	NOUN
cana-6100	204	17	using	use	VERB
cana-6100	204	18	this	this	DET
cana-6100	204	19	method	method	NOUN
cana-6100	204	20	.	.	PUNCT
cana-6100	205	1	if	if	SCONJ
cana-6100	205	2	the	the	DET
cana-6100	205	3	initially	initially	ADV
cana-6100	205	4	taken	take	VERB
cana-6100	205	5	system	system	NOUN
cana-6100	205	6	is	be	AUX
cana-6100	205	7	not	not	PART
cana-6100	205	8	integrable	integrable	ADJ
cana-6100	205	9	,	,	PUNCT
cana-6100	205	10	it	it	PRON
cana-6100	205	11	is	be	AUX
cana-6100	205	12	seen	see	VERB
cana-6100	205	13	that	that	SCONJ
cana-6100	205	14	the	the	DET
cana-6100	205	15	reduced	reduce	VERB
cana-6100	205	16	system	system	NOUN
cana-6100	205	17	is	be	AUX
cana-6100	205	18	either	either	CCONJ
cana-6100	205	19	integrable	integrable	ADJ
cana-6100	205	20	or	or	CCONJ
cana-6100	205	21	non	non	ADJ
cana-6100	205	22	-	-	ADJ
cana-6100	205	23	integrable	integrable	ADJ
cana-6100	205	24	as	as	ADP
cana-6100	205	25	a	a	DET
cana-6100	205	26	result	result	NOUN
cana-6100	205	27	of	of	ADP
cana-6100	205	28	the	the	DET
cana-6100	205	29	application	application	NOUN
cana-6100	205	30	of	of	ADP
cana-6100	205	31	the	the	DET
cana-6100	205	32	method	method	NOUN
cana-6100	205	33	.	.	PUNCT
cana-6100	206	1	however	however	ADV
cana-6100	206	2	,	,	PUNCT
cana-6100	206	3	if	if	SCONJ
cana-6100	206	4	the	the	DET
cana-6100	206	5	method	method	NOUN
cana-6100	206	6	is	be	AUX
cana-6100	206	7	applied	apply	VERB
cana-6100	206	8	to	to	ADP
cana-6100	206	9	an	an	DET
cana-6100	206	10	integrable	integrable	ADJ
cana-6100	206	11	system	system	NOUN
cana-6100	206	12	,	,	PUNCT
cana-6100	206	13	it	it	PRON
cana-6100	206	14	is	be	AUX
cana-6100	206	15	seen	see	VERB
cana-6100	206	16	that	that	SCONJ
cana-6100	206	17	the	the	DET
cana-6100	206	18	system	system	NOUN
cana-6100	206	19	obtained	obtain	VERB
cana-6100	206	20	as	as	ADP
cana-6100	206	21	a	a	DET
cana-6100	206	22	result	result	NOUN
cana-6100	206	23	of	of	ADP
cana-6100	206	24	the	the	DET
cana-6100	206	25	analysis	analysis	NOUN
cana-6100	206	26	is	be	AUX
cana-6100	206	27	always	always	ADV
cana-6100	206	28	integrable	integrable	ADJ
cana-6100	206	29	.	.	PUNCT
cana-6100	207	1	this	this	PRON
cana-6100	207	2	is	be	AUX
cana-6100	207	3	the	the	DET
cana-6100	207	4	main	main	ADJ
cana-6100	207	5	purpose	purpose	NOUN
cana-6100	207	6	of	of	ADP
cana-6100	207	7	applying	apply	VERB
cana-6100	207	8	multiple	multiple	ADJ
cana-6100	207	9	-	-	PUNCT
cana-6100	207	10	scale	scale	NOUN
cana-6100	207	11	methods	method	NOUN
cana-6100	207	12	to	to	PART
cana-6100	207	13	integrable	integrable	ADJ
cana-6100	207	14	systems	system	NOUN
cana-6100	207	15	.	.	PUNCT
cana-6100	208	1	this	this	DET
cana-6100	208	2	study	study	NOUN
cana-6100	208	3	examined	examine	VERB
cana-6100	208	4	how	how	SCONJ
cana-6100	208	5	only	only	ADJ
cana-6100	208	6	nls	nls	NOUN
cana-6100	208	7	equation	equation	NOUN
cana-6100	208	8	is	be	AUX
cana-6100	208	9	derived	derive	VERB
cana-6100	208	10	from	from	ADP
cana-6100	208	11	higher	high	ADJ
cana-6100	208	12	-	-	PUNCT
cana-6100	208	13	order	order	NOUN
cana-6100	208	14	nonlinear	nonlinear	ADJ
cana-6100	208	15	kaup	kaup	PROPN
cana-6100	208	16	–	–	PUNCT
cana-6100	208	17	kupershmidt	kupershmidt	ADJ
cana-6100	208	18	(	(	PUNCT
cana-6100	208	19	kk	kk	PROPN
cana-6100	208	20	)	)	PUNCT
cana-6100	208	21	equations	equation	NOUN
cana-6100	208	22	using	use	VERB
cana-6100	208	23	the	the	DET
cana-6100	208	24	multiple	multiple	ADJ
cana-6100	208	25	scales	scale	NOUN
cana-6100	208	26	method	method	NOUN
cana-6100	208	27	.	.	PUNCT
cana-6100	209	1	we	we	PRON
cana-6100	209	2	hope	hope	VERB
cana-6100	209	3	this	this	DET
cana-6100	209	4	conclusion	conclusion	NOUN
cana-6100	209	5	serves	serve	VERB
cana-6100	209	6	as	as	ADP
cana-6100	209	7	a	a	DET
cana-6100	209	8	valuable	valuable	ADJ
cana-6100	209	9	resource	resource	NOUN
cana-6100	209	10	for	for	ADP
cana-6100	209	11	researchers	researcher	NOUN
cana-6100	209	12	,	,	PUNCT
cana-6100	209	13	scientists	scientist	NOUN
cana-6100	209	14	,	,	PUNCT
cana-6100	209	15	and	and	CCONJ
cana-6100	209	16	engineers	engineer	NOUN
cana-6100	209	17	interested	interested	ADJ
cana-6100	209	18	in	in	ADP
cana-6100	209	19	nonlinear	nonlinear	ADJ
cana-6100	209	20	wave	wave	NOUN
cana-6100	209	21	theory	theory	NOUN
cana-6100	209	22	,	,	PUNCT
cana-6100	209	23	inspiring	inspire	VERB
cana-6100	209	24	a	a	DET
cana-6100	209	25	deeper	deep	ADJ
cana-6100	209	26	desire	desire	NOUN
cana-6100	209	27	to	to	PART
cana-6100	209	28	explore	explore	VERB
cana-6100	209	29	further	far	ADV
cana-6100	209	30	and	and	CCONJ
cana-6100	209	31	reveal	reveal	VERB
cana-6100	209	32	the	the	DET
cana-6100	209	33	mysteries	mystery	NOUN
cana-6100	209	34	still	still	ADV
cana-6100	209	35	held	hold	VERB
cana-6100	209	36	within	within	ADP
cana-6100	209	37	the	the	DET
cana-6100	209	38	intricate	intricate	ADJ
cana-6100	209	39	language	language	NOUN
cana-6100	209	40	of	of	ADP
cana-6100	209	41	the	the	DET
cana-6100	209	42	nls	nls	NOUN
cana-6100	209	43	equation	equation	NOUN
cana-6100	209	44	.	.	PUNCT
cana-6100	210	1	at	at	ADP
cana-6100	210	2	the	the	DET
cana-6100	210	3	same	same	ADJ
cana-6100	210	4	time	time	NOUN
cana-6100	210	5	,	,	PUNCT
cana-6100	210	6	we	we	PRON
cana-6100	210	7	think	think	VERB
cana-6100	210	8	that	that	SCONJ
cana-6100	210	9	the	the	DET
cana-6100	210	10	obtained	obtain	VERB
cana-6100	210	11	results	result	NOUN
cana-6100	210	12	will	will	AUX
cana-6100	210	13	form	form	VERB
cana-6100	210	14	the	the	DET
cana-6100	210	15	basis	basis	NOUN
cana-6100	210	16	of	of	ADP
cana-6100	210	17	numerical	numerical	ADJ
cana-6100	210	18	calculations	calculation	NOUN
cana-6100	210	19	.	.	PUNCT
cana-6100	211	1	also	also	ADV
cana-6100	211	2	,	,	PUNCT
cana-6100	211	3	the	the	DET
cana-6100	211	4	method	method	NOUN
cana-6100	211	5	can	can	AUX
cana-6100	211	6	be	be	AUX
cana-6100	211	7	applied	apply	VERB
cana-6100	211	8	to	to	ADP
cana-6100	211	9	many	many	ADJ
cana-6100	211	10	dierent	dierent	ADJ
cana-6100	211	11	nlee	nlee	NOUN
cana-6100	211	12	equations	equation	NOUN
cana-6100	211	13	.	.	PUNCT
cana-6100	212	1	5	5	X
cana-6100	212	2	.	.	X
cana-6100	212	3	acknowledgment	acknowledgment	NOUN
cana-6100	212	4	this	this	DET
cana-6100	212	5	research	research	NOUN
cana-6100	212	6	is	be	AUX
cana-6100	212	7	partly	partly	ADV
cana-6100	212	8	supported	support	VERB
cana-6100	212	9	by	by	ADP
cana-6100	212	10	anadolu	anadolu	PROPN
cana-6100	212	11	university	university	PROPN
cana-6100	212	12	,	,	PUNCT
cana-6100	212	13	scientific	scientific	ADJ
cana-6100	212	14	research	research	NOUN
cana-6100	212	15	project	project	NOUN
cana-6100	212	16	(	(	PUNCT
cana-6100	212	17	bap	bap	NOUN
cana-6100	212	18	)	)	PUNCT
cana-6100	212	19	,	,	PUNCT
cana-6100	212	20	project	project	NOUN
cana-6100	212	21	number	number	NOUN
cana-6100	212	22	:	:	PUNCT
cana-6100	212	23	sba-2025	sba-2025	NOUN
cana-6100	212	24	-	-	PUNCT
cana-6100	212	25	2933	2933	NUM
cana-6100	212	26	.	.	PUNCT
cana-6100	213	1	6	6	NUM
cana-6100	213	2	.	.	X
cana-6100	213	3	data	datum	NOUN
cana-6100	213	4	availability	availability	NOUN
cana-6100	213	5	all	all	DET
cana-6100	213	6	data	datum	NOUN
cana-6100	213	7	generated	generate	VERB
cana-6100	213	8	or	or	CCONJ
cana-6100	213	9	analysed	analyse	VERB
cana-6100	213	10	during	during	ADP
cana-6100	213	11	this	this	DET
cana-6100	213	12	study	study	NOUN
cana-6100	213	13	are	be	AUX
cana-6100	213	14	included	include	VERB
cana-6100	213	15	in	in	ADP
cana-6100	213	16	this	this	DET
cana-6100	213	17	published	publish	VERB
cana-6100	213	18	article	article	NOUN
cana-6100	213	19	.	.	PUNCT
cana-6100	214	1	7	7	X
cana-6100	214	2	.	.	X
cana-6100	214	3	conflict	conflict	NOUN
cana-6100	214	4	of	of	ADP
cana-6100	214	5	interest	interest	NOUN
cana-6100	214	6	the	the	DET
cana-6100	214	7	authors	author	NOUN
cana-6100	214	8	declare	declare	VERB
cana-6100	214	9	that	that	SCONJ
cana-6100	214	10	they	they	PRON
cana-6100	214	11	have	have	VERB
cana-6100	214	12	no	no	DET
cana-6100	214	13	conflict	conflict	NOUN
cana-6100	214	14	of	of	ADP
cana-6100	214	15	interest	interest	NOUN
cana-6100	214	16	regarding	regard	VERB
cana-6100	214	17	the	the	DET
cana-6100	214	18	publication	publication	NOUN
cana-6100	214	19	of	of	ADP
cana-6100	214	20	this	this	DET
cana-6100	214	21	paper	paper	NOUN
cana-6100	214	22	.	.	PUNCT
cana-6100	215	1	refrences	refrence	VERB
cana-6100	216	1	[	[	X
cana-6100	216	2	1	1	NUM
cana-6100	216	3	]	]	X
cana-6100	216	4	harnish	harnish	PROPN
cana-6100	216	5	,	,	PUNCT
cana-6100	216	6	c.	c.	PROPN
cana-6100	216	7	,	,	PUNCT
cana-6100	216	8	dalessandro	dalessandro	PROPN
cana-6100	216	9	,	,	PUNCT
cana-6100	216	10	l.	l.	PROPN
cana-6100	216	11	,	,	PUNCT
cana-6100	216	12	matouš	matouš	PROPN
cana-6100	216	13	,	,	PUNCT
cana-6100	216	14	k.	k.	PROPN
cana-6100	216	15	,	,	PUNCT
cana-6100	216	16	&	&	CCONJ
cana-6100	216	17	livescu	livescu	PROPN
cana-6100	216	18	,	,	PUNCT
cana-6100	216	19	d.	d.	PROPN
cana-6100	216	20	(	(	PUNCT
cana-6100	216	21	2023	2023	NUM
cana-6100	216	22	)	)	PUNCT
cana-6100	216	23	.	.	PUNCT
cana-6100	217	1	an	an	DET
cana-6100	217	2	adaptive	adaptive	ADJ
cana-6100	217	3	wavelet	wavelet	NOUN
cana-6100	217	4	method	method	NOUN
cana-6100	217	5	for	for	ADP
cana-6100	217	6	nonlinear	nonlinear	ADJ
cana-6100	217	7	partial	partial	ADJ
cana-6100	217	8	differential	differential	ADJ
cana-6100	217	9	equations	equation	NOUN
cana-6100	217	10	with	with	ADP
cana-6100	217	11	applications	application	NOUN
cana-6100	217	12	to	to	ADP
cana-6100	217	13	dynamic	dynamic	ADJ
cana-6100	217	14	damage	damage	NOUN
cana-6100	217	15	modeling	modeling	NOUN
cana-6100	217	16	.	.	PUNCT
cana-6100	218	1	journal	journal	NOUN
cana-6100	218	2	of	of	ADP
cana-6100	218	3	computational	computational	ADJ
cana-6100	218	4	physics	physics	NOUN
cana-6100	218	5	,	,	PUNCT
cana-6100	218	6	479	479	NUM
cana-6100	218	7	,	,	PUNCT
cana-6100	218	8	112002	112002	NUM
cana-6100	218	9	.	.	PUNCT
cana-6100	219	1	[	[	X
cana-6100	219	2	2	2	NUM
cana-6100	219	3	]	]	PUNCT
cana-6100	219	4	tang	tang	PROPN
cana-6100	219	5	,	,	PUNCT
cana-6100	219	6	s.	s.	PROPN
cana-6100	219	7	,	,	PUNCT
cana-6100	219	8	feng	feng	PROPN
cana-6100	219	9	,	,	PUNCT
cana-6100	219	10	x.	x.	PROPN
cana-6100	219	11	,	,	PUNCT
cana-6100	219	12	wu	wu	PROPN
cana-6100	219	13	,	,	PUNCT
cana-6100	219	14	w.	w.	PROPN
cana-6100	219	15	,	,	PUNCT
cana-6100	219	16	&	&	CCONJ
cana-6100	219	17	xu	xu	PROPN
cana-6100	219	18	,	,	PUNCT
cana-6100	219	19	h.	h.	PROPN
cana-6100	219	20	(	(	PUNCT
cana-6100	219	21	2023	2023	NUM
cana-6100	219	22	)	)	PUNCT
cana-6100	219	23	.	.	PUNCT
cana-6100	220	1	physics	physics	NOUN
cana-6100	220	2	-	-	PUNCT
cana-6100	220	3	informed	inform	VERB
cana-6100	220	4	neural	neural	ADJ
cana-6100	220	5	networks	network	NOUN
cana-6100	220	6	combined	combine	VERB
cana-6100	220	7	with	with	ADP
cana-6100	220	8	polynomial	polynomial	ADJ
cana-6100	220	9	interpolation	interpolation	NOUN
cana-6100	220	10	to	to	PART
cana-6100	220	11	solve	solve	VERB
cana-6100	220	12	nonlinear	nonlinear	ADJ
cana-6100	220	13	partial	partial	ADJ
cana-6100	220	14	differential	differential	NOUN
cana-6100	220	15	equations	equation	NOUN
cana-6100	220	16	.	.	PUNCT
cana-6100	221	1	computers	computer	NOUN
cana-6100	221	2	&	&	CCONJ
cana-6100	221	3	mathematics	mathematics	PROPN
cana-6100	221	4	with	with	ADP
cana-6100	221	5	applications	application	NOUN
cana-6100	221	6	,	,	PUNCT
cana-6100	221	7	132	132	NUM
cana-6100	221	8	,	,	PUNCT
cana-6100	221	9	48	48	NUM
cana-6100	221	10	-	-	SYM
cana-6100	221	11	62	62	NUM
cana-6100	221	12	.	.	PUNCT
cana-6100	222	1	[	[	X
cana-6100	222	2	3	3	NUM
cana-6100	222	3	]	]	SYM
cana-6100	222	4	wu	wu	PROPN
cana-6100	222	5	,	,	PUNCT
cana-6100	222	6	j.	j.	PROPN
cana-6100	222	7	,	,	PUNCT
cana-6100	222	8	&	&	CCONJ
cana-6100	222	9	yang	yang	PROPN
cana-6100	222	10	,	,	PUNCT
cana-6100	222	11	z.	z.	PROPN
cana-6100	222	12	(	(	PUNCT
cana-6100	222	13	2023	2023	NUM
cana-6100	222	14	)	)	PUNCT
cana-6100	222	15	.	.	PUNCT
cana-6100	223	1	global	global	ADJ
cana-6100	223	2	existence	existence	NOUN
cana-6100	223	3	and	and	CCONJ
cana-6100	223	4	boundedness	boundedness	NOUN
cana-6100	223	5	of	of	ADP
cana-6100	223	6	chemotaxis	chemotaxis	ADJ
cana-6100	223	7	-	-	PUNCT
cana-6100	223	8	fluid	fluid	ADJ
cana-6100	223	9	equations	equation	NOUN
cana-6100	223	10	to	to	ADP
cana-6100	223	11	the	the	DET
cana-6100	223	12	coupled	couple	VERB
cana-6100	223	13	solow	solow	PROPN
cana-6100	223	14	-	-	PUNCT
cana-6100	223	15	swan	swan	PROPN
cana-6100	223	16	model	model	NOUN
cana-6100	223	17	.	.	PUNCT
cana-6100	224	1	aims	aim	VERB
cana-6100	224	2	mathematics	mathematic	NOUN
cana-6100	224	3	,	,	PUNCT
cana-6100	224	4	8(8	8(8	NUM
cana-6100	224	5	)	)	PUNCT
cana-6100	224	6	,	,	PUNCT
cana-6100	224	7	1791417942	1791417942	NUM
cana-6100	224	8	.	.	PUNCT
cana-6100	225	1	[	[	X
cana-6100	225	2	4	4	NUM
cana-6100	225	3	]	]	X
cana-6100	225	4	liang	liang	PROPN
cana-6100	225	5	,	,	PUNCT
cana-6100	225	6	b.	b.	PROPN
cana-6100	225	7	,	,	PUNCT
cana-6100	225	8	zhu	zhu	PROPN
cana-6100	225	9	,	,	PUNCT
cana-6100	225	10	y.	y.	PROPN
cana-6100	225	11	,	,	PUNCT
cana-6100	225	12	&	&	CCONJ
cana-6100	225	13	wang	wang	PROPN
cana-6100	225	14	,	,	PUNCT
cana-6100	225	15	y.	y.	PROPN
cana-6100	225	16	(	(	PUNCT
cana-6100	225	17	2023	2023	NUM
cana-6100	225	18	)	)	PUNCT
cana-6100	225	19	.	.	PUNCT
cana-6100	226	1	existence	existence	NOUN
cana-6100	226	2	of	of	ADP
cana-6100	226	3	solutions	solution	NOUN
cana-6100	226	4	to	to	ADP
cana-6100	226	5	a	a	DET
cana-6100	226	6	doubly	doubly	ADV
cana-6100	226	7	degenerate	degenerate	ADJ
cana-6100	226	8	fourth	fourth	ADJ
cana-6100	226	9	-	-	PUNCT
cana-6100	226	10	order	order	NOUN
cana-6100	226	11	partial	partial	ADJ
cana-6100	226	12	differential	differential	NOUN
cana-6100	226	13	equation	equation	NOUN
cana-6100	226	14	with	with	ADP
cana-6100	226	15	a	a	DET
cana-6100	226	16	degenerate	degenerate	ADJ
cana-6100	226	17	diffusion	diffusion	NOUN
cana-6100	226	18	.	.	PUNCT
cana-6100	227	1	journal	journal	PROPN
cana-6100	227	2	of	of	ADP
cana-6100	227	3	mathematical	mathematical	ADJ
cana-6100	227	4	analysis	analysis	NOUN
cana-6100	227	5	and	and	CCONJ
cana-6100	227	6	applications	application	NOUN
cana-6100	227	7	,	,	PUNCT
cana-6100	227	8	527(1	527(1	NUM
cana-6100	227	9	)	)	PUNCT
cana-6100	227	10	,	,	PUNCT
cana-6100	227	11	127429	127429	NUM
cana-6100	227	12	.	.	PUNCT
cana-6100	228	1	[	[	X
cana-6100	228	2	5	5	NUM
cana-6100	228	3	]	]	SYM
cana-6100	228	4	wu	wu	PROPN
cana-6100	228	5	,	,	PUNCT
cana-6100	228	6	w.	w.	PROPN
cana-6100	228	7	(	(	PUNCT
cana-6100	228	8	2023	2023	NUM
cana-6100	228	9	)	)	PUNCT
cana-6100	228	10	.	.	PUNCT
cana-6100	229	1	stability	stability	NOUN
cana-6100	229	2	of	of	ADP
cana-6100	229	3	systems	system	NOUN
cana-6100	229	4	governed	govern	VERB
cana-6100	229	5	by	by	ADP
cana-6100	229	6	elliptic	elliptic	ADJ
cana-6100	229	7	partial	partial	ADJ
cana-6100	229	8	differential	differential	NOUN
cana-6100	229	9	equations	equation	NOUN
cana-6100	229	10	.	.	PUNCT
cana-6100	230	1	journal	journal	PROPN
cana-6100	230	2	of	of	ADP
cana-6100	230	3	differential	differential	ADJ
cana-6100	230	4	equations	equation	NOUN
cana-6100	230	5	,	,	PUNCT
cana-6100	230	6	370	370	NUM
cana-6100	230	7	,	,	PUNCT
cana-6100	230	8	271	271	NUM
cana-6100	230	9	-	-	SYM
cana-6100	230	10	304	304	NUM
cana-6100	230	11	.	.	PUNCT
cana-6100	231	1	[	[	X
cana-6100	231	2	6	6	NUM
cana-6100	231	3	]	]	X
cana-6100	231	4	bao	bao	PROPN
cana-6100	231	5	,	,	PUNCT
cana-6100	231	6	s.	s.	PROPN
cana-6100	231	7	,	,	PUNCT
cana-6100	231	8	&	&	CCONJ
cana-6100	231	9	xing	xing	PROPN
cana-6100	231	10	,	,	PUNCT
cana-6100	231	11	y.	y.	PROPN
cana-6100	231	12	(	(	PUNCT
cana-6100	231	13	2019	2019	NUM
cana-6100	231	14	)	)	PUNCT
cana-6100	231	15	.	.	PUNCT
cana-6100	232	1	on	on	ADP
cana-6100	232	2	existence	existence	NOUN
cana-6100	232	3	and	and	CCONJ
cana-6100	232	4	uniqueness	uniqueness	NOUN
cana-6100	232	5	of	of	ADP
cana-6100	232	6	viscosity	viscosity	NOUN
cana-6100	232	7	solutions	solution	NOUN
cana-6100	232	8	to	to	PART
cana-6100	232	9	obstacle	obstacle	VERB
cana-6100	232	10	problems	problem	NOUN
cana-6100	232	11	for	for	ADP
cana-6100	232	12	a	a	DET
cana-6100	232	13	class	class	NOUN
cana-6100	232	14	of	of	ADP
cana-6100	232	15	second	second	ADJ
cana-6100	232	16	order	order	NOUN
cana-6100	232	17	partial	partial	ADJ
cana-6100	232	18	differential	differential	NOUN
cana-6100	232	19	equations	equation	NOUN
cana-6100	232	20	.	.	PUNCT
cana-6100	233	1	journal	journal	NOUN
cana-6100	233	2	of	of	ADP
cana-6100	233	3	communications	communication	NOUN
cana-6100	233	4	on	on	ADP
cana-6100	233	5	applied	apply	VERB
cana-6100	233	6	nonlinear	nonlinear	ADJ
cana-6100	233	7	analysis	analysis	NOUN
cana-6100	233	8	issn	issn	NOUN
cana-6100	233	9	:	:	PUNCT
cana-6100	233	10	1074	1074	NUM
cana-6100	233	11	-	-	PUNCT
cana-6100	233	12	133x	133x	NUM
cana-6100	233	13	vol	vol	VERB
cana-6100	233	14	32	32	NUM
cana-6100	233	15	no	no	NOUN
cana-6100	233	16	.	.	PUNCT
cana-6100	234	1	10s	10	NOUN
cana-6100	234	2	(	(	PUNCT
cana-6100	234	3	2025	2025	NUM
cana-6100	234	4	)	)	PUNCT
cana-6100	234	5	3385	3385	NUM
cana-6100	234	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	234	7	mathematical	mathematical	ADJ
cana-6100	234	8	analysis	analysis	NOUN
cana-6100	234	9	and	and	CCONJ
cana-6100	234	10	applications	application	NOUN
cana-6100	234	11	,	,	PUNCT
cana-6100	234	12	475(1	475(1	NUM
cana-6100	234	13	)	)	PUNCT
cana-6100	234	14	,	,	PUNCT
cana-6100	234	15	595604	595604	NUM
cana-6100	234	16	.	.	PUNCT
cana-6100	235	1	[	[	X
cana-6100	235	2	7	7	NUM
cana-6100	235	3	]	]	SYM
cana-6100	235	4	adeyefa	adeyefa	PROPN
cana-6100	235	5	,	,	PUNCT
cana-6100	235	6	e.	e.	PROPN
cana-6100	235	7	o.	o.	PROPN
cana-6100	235	8	,	,	PUNCT
cana-6100	235	9	omole	omole	PROPN
cana-6100	235	10	,	,	PUNCT
cana-6100	235	11	e.	e.	PROPN
cana-6100	235	12	o.	o.	PROPN
cana-6100	235	13	,	,	PUNCT
cana-6100	235	14	&	&	CCONJ
cana-6100	235	15	shokri	shokri	PROPN
cana-6100	235	16	,	,	PUNCT
cana-6100	235	17	a.	a.	NOUN
cana-6100	235	18	(	(	PUNCT
cana-6100	235	19	2023	2023	NUM
cana-6100	235	20	)	)	PUNCT
cana-6100	235	21	.	.	PUNCT
cana-6100	236	1	numerical	numerical	ADJ
cana-6100	236	2	solution	solution	NOUN
cana-6100	236	3	of	of	ADP
cana-6100	236	4	secondorder	secondorder	ADJ
cana-6100	236	5	nonlinear	nonlinear	ADJ
cana-6100	236	6	partial	partial	ADJ
cana-6100	236	7	differential	differential	NOUN
cana-6100	236	8	equations	equation	NOUN
cana-6100	236	9	originating	originate	VERB
cana-6100	236	10	from	from	ADP
cana-6100	236	11	physical	physical	ADJ
cana-6100	236	12	phenomena	phenomenon	NOUN
cana-6100	236	13	using	use	VERB
cana-6100	236	14	hermite	hermite	PROPN
cana-6100	236	15	based	base	VERB
cana-6100	236	16	block	block	NOUN
cana-6100	236	17	methods	method	NOUN
cana-6100	236	18	.	.	PUNCT
cana-6100	237	1	results	result	NOUN
cana-6100	237	2	in	in	ADP
cana-6100	237	3	physics	physics	NOUN
cana-6100	237	4	,	,	PUNCT
cana-6100	237	5	46	46	NUM
cana-6100	237	6	,	,	PUNCT
cana-6100	237	7	106270	106270	NUM
cana-6100	237	8	.	.	PUNCT
cana-6100	238	1	[	[	X
cana-6100	238	2	8	8	NUM
cana-6100	238	3	]	]	SYM
cana-6100	238	4	adeyefa	adeyefa	PROPN
cana-6100	238	5	,	,	PUNCT
cana-6100	238	6	e.	e.	PROPN
cana-6100	238	7	o.	o.	PROPN
cana-6100	238	8	,	,	PUNCT
cana-6100	238	9	omole	omole	PROPN
cana-6100	238	10	,	,	PUNCT
cana-6100	238	11	e.	e.	PROPN
cana-6100	238	12	o.	o.	PROPN
cana-6100	238	13	,	,	PUNCT
cana-6100	238	14	&	&	CCONJ
cana-6100	238	15	shokri	shokri	PROPN
cana-6100	238	16	,	,	PUNCT
cana-6100	238	17	a.	a.	NOUN
cana-6100	238	18	(	(	PUNCT
cana-6100	238	19	2023	2023	NUM
cana-6100	238	20	)	)	PUNCT
cana-6100	238	21	.	.	PUNCT
cana-6100	239	1	numerical	numerical	ADJ
cana-6100	239	2	solution	solution	NOUN
cana-6100	239	3	of	of	ADP
cana-6100	239	4	secondorder	secondorder	ADJ
cana-6100	239	5	nonlinear	nonlinear	ADJ
cana-6100	239	6	partial	partial	ADJ
cana-6100	239	7	differential	differential	NOUN
cana-6100	239	8	equations	equation	NOUN
cana-6100	239	9	originating	originate	VERB
cana-6100	239	10	from	from	ADP
cana-6100	239	11	physical	physical	ADJ
cana-6100	239	12	phenomena	phenomenon	NOUN
cana-6100	239	13	using	use	VERB
cana-6100	239	14	hermite	hermite	PROPN
cana-6100	239	15	based	base	VERB
cana-6100	239	16	block	block	NOUN
cana-6100	239	17	methods	method	NOUN
cana-6100	239	18	.	.	PUNCT
cana-6100	240	1	results	result	NOUN
cana-6100	240	2	in	in	ADP
cana-6100	240	3	physics	physics	NOUN
cana-6100	240	4	,	,	PUNCT
cana-6100	240	5	46	46	NUM
cana-6100	240	6	,	,	PUNCT
cana-6100	240	7	106270	106270	NUM
cana-6100	240	8	.	.	PUNCT
cana-6100	241	1	[	[	X
cana-6100	241	2	9	9	NUM
cana-6100	241	3	]	]	SYM
cana-6100	241	4	khusnutdinova	khusnutdinova	PROPN
cana-6100	241	5	,	,	PUNCT
cana-6100	241	6	k.	k.	PROPN
cana-6100	241	7	r.	r.	PROPN
cana-6100	241	8	,	,	PUNCT
cana-6100	241	9	stepanyants	stepanyant	NOUN
cana-6100	241	10	,	,	PUNCT
cana-6100	241	11	y.	y.	PROPN
cana-6100	241	12	a.	a.	PROPN
cana-6100	241	13	,	,	PUNCT
cana-6100	241	14	tranter	tranter	NOUN
cana-6100	241	15	,	,	PUNCT
cana-6100	241	16	m.	m.	NOUN
cana-6100	241	17	r.	r.	PROPN
cana-6100	241	18	2018	2018	NUM
cana-6100	241	19	.	.	PUNCT
cana-6100	242	1	soliton	soliton	NOUN
cana-6100	242	2	solutions	solution	NOUN
cana-6100	242	3	to	to	ADP
cana-6100	242	4	the	the	DET
cana-6100	242	5	fifth	fifth	ADJ
cana-6100	242	6	-	-	PUNCT
cana-6100	242	7	order	order	NOUN
cana-6100	242	8	korteweg	korteweg	NOUN
cana-6100	242	9	–	–	PUNCT
cana-6100	242	10	de	de	NOUN
cana-6100	242	11	vries	vries	NOUN
cana-6100	242	12	equation	equation	NOUN
cana-6100	242	13	and	and	CCONJ
cana-6100	242	14	their	their	PRON
cana-6100	242	15	applications	application	NOUN
cana-6100	242	16	to	to	PART
cana-6100	242	17	surface	surface	NOUN
cana-6100	242	18	and	and	CCONJ
cana-6100	242	19	internal	internal	ADJ
cana-6100	242	20	water	water	NOUN
cana-6100	242	21	waves	wave	NOUN
cana-6100	242	22	.	.	PUNCT
cana-6100	243	1	physics	physics	NOUN
cana-6100	243	2	of	of	ADP
cana-6100	243	3	fluids	fluid	NOUN
cana-6100	243	4	,	,	PUNCT
cana-6100	243	5	30(2	30(2	NUM
cana-6100	243	6	)	)	PUNCT
cana-6100	243	7	.	.	PUNCT
cana-6100	244	1	https://doi.org/10.1063/1.5009965	https://doi.org/10.1063/1.5009965	NOUN
cana-6100	244	2	.	.	PUNCT
cana-6100	245	1	[	[	X
cana-6100	245	2	10	10	NUM
cana-6100	245	3	]	]	X
cana-6100	245	4	choudhury	choudhury	PROPN
cana-6100	245	5	,	,	PUNCT
cana-6100	245	6	s.	s.	PROPN
cana-6100	245	7	r.	r.	PROPN
cana-6100	245	8	,	,	PUNCT
cana-6100	245	9	&	&	CCONJ
cana-6100	245	10	rodriguez	rodriguez	PROPN
cana-6100	245	11	,	,	PUNCT
cana-6100	245	12	r.	r.	PROPN
cana-6100	245	13	a.	a.	PROPN
cana-6100	245	14	2022	2022	NUM
cana-6100	245	15	.	.	PUNCT
cana-6100	246	1	perturbative	perturbative	ADJ
cana-6100	246	2	and	and	CCONJ
cana-6100	246	3	reversible	reversible	ADJ
cana-6100	246	4	systems	system	NOUN
cana-6100	246	5	approaches	approach	NOUN
cana-6100	246	6	to	to	ADP
cana-6100	246	7	new	new	ADJ
cana-6100	246	8	families	family	NOUN
cana-6100	246	9	of	of	ADP
cana-6100	246	10	embedded	embed	VERB
cana-6100	246	11	solitary	solitary	ADJ
cana-6100	246	12	waves	wave	NOUN
cana-6100	246	13	of	of	ADP
cana-6100	246	14	a	a	DET
cana-6100	246	15	generalized	generalized	ADJ
cana-6100	246	16	fifth	fifth	ADJ
cana-6100	246	17	-	-	PUNCT
cana-6100	246	18	order	order	NOUN
cana-6100	246	19	korteweg	korteweg	NOUN
cana-6100	246	20	-	-	PUNCT
cana-6100	246	21	de	de	NOUN
cana-6100	246	22	vries	vries	PROPN
cana-6100	246	23	equation	equation	NOUN
cana-6100	246	24	.	.	PUNCT
cana-6100	247	1	partial	partial	ADJ
cana-6100	247	2	differential	differential	ADJ
cana-6100	247	3	equations	equation	NOUN
cana-6100	247	4	in	in	ADP
cana-6100	247	5	applied	applied	ADJ
cana-6100	247	6	mathematics	mathematic	NOUN
cana-6100	247	7	,	,	PUNCT
cana-6100	247	8	5	5	NUM
cana-6100	247	9	,	,	PUNCT
cana-6100	247	10	100314	100314	NUM
cana-6100	247	11	.	.	PUNCT
cana-6100	248	1	https://doi.org/10.1016/j.padiff.2022.100314	https://doi.org/10.1016/j.padiff.2022.100314	NOUN
cana-6100	248	2	.	.	PUNCT
cana-6100	249	1	[	[	X
cana-6100	249	2	11	11	NUM
cana-6100	249	3	]	]	X
cana-6100	249	4	lee	lee	PROPN
cana-6100	249	5	,	,	PUNCT
cana-6100	249	6	c.	c.	PROPN
cana-6100	249	7	t.	t.	PROPN
cana-6100	249	8	,	,	PUNCT
cana-6100	249	9	liu	liu	PROPN
cana-6100	249	10	,	,	PUNCT
cana-6100	249	11	m.	m.	PROPN
cana-6100	249	12	l.	l.	PROPN
cana-6100	249	13	,	,	PUNCT
cana-6100	249	14	lin	lin	PROPN
cana-6100	249	15	,	,	PUNCT
cana-6100	249	16	j.	j.	PROPN
cana-6100	249	17	e.	e.	PROPN
cana-6100	249	18	,	,	PUNCT
cana-6100	249	19	lee	lee	PROPN
cana-6100	249	20	,	,	PUNCT
cana-6100	249	21	c.	c.	PROPN
cana-6100	249	22	c.	c.	PROPN
cana-6100	249	23	2019	2019	NUM
cana-6100	249	24	.	.	PUNCT
cana-6100	250	1	some	some	DET
cana-6100	250	2	notes	note	NOUN
cana-6100	250	3	on	on	ADP
cana-6100	250	4	numerical	numerical	ADJ
cana-6100	250	5	waves	wave	NOUN
cana-6100	250	6	of	of	ADP
cana-6100	250	7	fifth	fifth	ADJ
cana-6100	250	8	-	-	PUNCT
cana-6100	250	9	order	order	NOUN
cana-6100	250	10	korteweg	korteweg	NOUN
cana-6100	250	11	-	-	PUNCT
cana-6100	250	12	de	de	NOUN
cana-6100	250	13	vries	vries	PROPN
cana-6100	250	14	equations	equation	NOUN
cana-6100	250	15	.	.	PUNCT
cana-6100	251	1	physics	physics	NOUN
cana-6100	251	2	essays	essay	NOUN
cana-6100	251	3	,	,	PUNCT
cana-6100	251	4	32(1	32(1	NUM
cana-6100	251	5	)	)	PUNCT
cana-6100	251	6	,	,	PUNCT
cana-6100	251	7	127	127	NUM
cana-6100	251	8	-	-	SYM
cana-6100	251	9	139	139	NUM
cana-6100	251	10	.	.	PUNCT
cana-6100	252	1	https://doi.org/10.4006/0836-1398-32.1.127	https://doi.org/10.4006/0836-1398-32.1.127	NOUN
cana-6100	252	2	.	.	PUNCT
cana-6100	253	1	[	[	X
cana-6100	253	2	12	12	NUM
cana-6100	253	3	]	]	X
cana-6100	253	4	zhao	zhao	X
cana-6100	253	5	,	,	PUNCT
cana-6100	253	6	x.	x.	PROPN
cana-6100	253	7	h.	h.	PROPN
cana-6100	253	8	,	,	PUNCT
cana-6100	253	9	tian	tian	PROPN
cana-6100	253	10	,	,	PUNCT
cana-6100	253	11	b.	b.	PROPN
cana-6100	253	12	,	,	PUNCT
cana-6100	253	13	li	li	PROPN
cana-6100	253	14	,	,	PUNCT
cana-6100	253	15	h.	h.	PROPN
cana-6100	253	16	m.	m.	PROPN
cana-6100	253	17	,	,	PUNCT
cana-6100	253	18	guo	guo	PROPN
cana-6100	253	19	,	,	PUNCT
cana-6100	253	20	y.	y.	PROPN
cana-6100	253	21	j.	j.	PROPN
cana-6100	253	22	2017	2017	NUM
cana-6100	253	23	.	.	PUNCT
cana-6100	254	1	solitons	soliton	NOUN
cana-6100	254	2	,	,	PUNCT
cana-6100	254	3	periodic	periodic	ADJ
cana-6100	254	4	waves	wave	NOUN
cana-6100	254	5	,	,	PUNCT
cana-6100	254	6	breathers	breather	NOUN
cana-6100	254	7	and	and	CCONJ
cana-6100	254	8	integrability	integrability	NOUN
cana-6100	254	9	for	for	ADP
cana-6100	254	10	a	a	DET
cana-6100	254	11	nonisospectral	nonisospectral	ADJ
cana-6100	254	12	and	and	CCONJ
cana-6100	254	13	variable	variable	ADJ
cana-6100	254	14	-	-	PUNCT
cana-6100	254	15	coefficient	coefficient	NOUN
cana-6100	254	16	fifth	fifth	ADJ
cana-6100	254	17	-	-	PUNCT
cana-6100	254	18	order	order	NOUN
cana-6100	254	19	korteweg	korteweg	NOUN
cana-6100	254	20	–	–	PUNCT
cana-6100	254	21	de	de	NOUN
cana-6100	254	22	vries	vries	NOUN
cana-6100	254	23	equation	equation	NOUN
cana-6100	254	24	in	in	ADP
cana-6100	254	25	fluids	fluid	NOUN
cana-6100	254	26	.	.	PUNCT
cana-6100	255	1	applied	apply	VERB
cana-6100	255	2	mathematics	mathematics	NOUN
cana-6100	255	3	letters	letter	NOUN
cana-6100	255	4	,	,	PUNCT
cana-6100	255	5	65	65	NUM
cana-6100	255	6	,	,	PUNCT
cana-6100	255	7	48	48	NUM
cana-6100	255	8	-	-	SYM
cana-6100	255	9	55	55	NUM
cana-6100	255	10	.	.	PUNCT
cana-6100	256	1	https://doi.org/10.1016/j.aml.2016.10.003	https://doi.org/10.1016/j.aml.2016.10.003	NOUN
cana-6100	256	2	.	.	PUNCT
cana-6100	257	1	[	[	X
cana-6100	257	2	13	13	NUM
cana-6100	257	3	]	]	X
cana-6100	257	4	ahmad	ahmad	PROPN
cana-6100	257	5	,	,	PUNCT
cana-6100	257	6	h.	h.	PROPN
cana-6100	257	7	,	,	PUNCT
cana-6100	257	8	khan	khan	PROPN
cana-6100	257	9	,	,	PUNCT
cana-6100	257	10	t.	t.	PROPN
cana-6100	257	11	a.	a.	PROPN
cana-6100	257	12	,	,	PUNCT
cana-6100	257	13	yao	yao	PROPN
cana-6100	257	14	,	,	PUNCT
cana-6100	257	15	s.	s.	PROPN
cana-6100	257	16	w.	w.	PROPN
cana-6100	257	17	2020	2020	PROPN
cana-6100	257	18	.	.	PUNCT
cana-6100	258	1	an	an	DET
cana-6100	258	2	efficient	efficient	ADJ
cana-6100	258	3	approach	approach	NOUN
cana-6100	258	4	for	for	ADP
cana-6100	258	5	the	the	DET
cana-6100	258	6	numerical	numerical	ADJ
cana-6100	258	7	solution	solution	NOUN
cana-6100	258	8	of	of	ADP
cana-6100	258	9	fifth	fifth	ADJ
cana-6100	258	10	-	-	PUNCT
cana-6100	258	11	order	order	NOUN
cana-6100	258	12	kdv	kdv	NOUN
cana-6100	258	13	equations	equation	NOUN
cana-6100	258	14	.	.	PUNCT
cana-6100	259	1	open	open	ADJ
cana-6100	259	2	mathematics	mathematic	NOUN
cana-6100	259	3	,	,	PUNCT
cana-6100	259	4	18(1	18(1	NUM
cana-6100	259	5	)	)	PUNCT
cana-6100	259	6	,	,	PUNCT
cana-6100	259	7	738	738	NUM
cana-6100	259	8	-	-	SYM
cana-6100	259	9	748	748	NUM
cana-6100	259	10	.	.	PUNCT
cana-6100	260	1	[	[	X
cana-6100	260	2	14	14	NUM
cana-6100	260	3	]	]	X
cana-6100	260	4	d.	d.	PROPN
cana-6100	260	5	baleanu	baleanu	PROPN
cana-6100	260	6	,	,	PUNCT
cana-6100	260	7	p.	p.	PROPN
cana-6100	260	8	shekari	shekari	PROPN
cana-6100	260	9	,	,	PUNCT
cana-6100	260	10	l.	l.	PROPN
cana-6100	260	11	torkzadeh	torkzadeh	PROPN
cana-6100	260	12	,	,	PUNCT
cana-6100	260	13	h.	h.	PROPN
cana-6100	260	14	ranjbar	ranjbar	PROPN
cana-6100	260	15	,	,	PUNCT
cana-6100	260	16	a.	a.	PROPN
cana-6100	260	17	jajarmi	jajarmi	PROPN
cana-6100	260	18	,	,	PUNCT
cana-6100	260	19	k.	k.	PROPN
cana-6100	260	20	nouri	nouri	PROPN
cana-6100	260	21	,	,	PUNCT
cana-6100	260	22	stability	stability	NOUN
cana-6100	260	23	analysis	analysis	NOUN
cana-6100	260	24	and	and	CCONJ
cana-6100	260	25	system	system	NOUN
cana-6100	260	26	properties	property	NOUN
cana-6100	260	27	of	of	ADP
cana-6100	260	28	nipah	nipah	PROPN
cana-6100	260	29	virus	virus	NOUN
cana-6100	260	30	transmission	transmission	NOUN
cana-6100	260	31	:	:	PUNCT
cana-6100	260	32	a	a	DET
cana-6100	260	33	fractional	fractional	ADJ
cana-6100	260	34	calculus	calculus	NOUN
cana-6100	260	35	case	case	NOUN
cana-6100	260	36	study	study	NOUN
cana-6100	260	37	,	,	PUNCT
cana-6100	260	38	chaos	chaos	NOUN
cana-6100	260	39	solitons	soliton	NOUN
cana-6100	260	40	fractals	fractal	NOUN
cana-6100	260	41	166	166	NUM
cana-6100	260	42	(	(	PUNCT
cana-6100	260	43	2023	2023	NUM
cana-6100	260	44	)	)	PUNCT
cana-6100	260	45	112990	112990	NUM
cana-6100	260	46	.	.	PUNCT
cana-6100	261	1	[	[	X
cana-6100	261	2	15	15	NUM
cana-6100	261	3	]	]	X
cana-6100	261	4	o.	o.	PROPN
cana-6100	261	5	defterli	defterli	PROPN
cana-6100	261	6	,	,	PUNCT
cana-6100	261	7	d.	d.	PROPN
cana-6100	261	8	baleanu	baleanu	PROPN
cana-6100	261	9	,	,	PUNCT
cana-6100	261	10	a.	a.	PROPN
cana-6100	261	11	jajarmi	jajarmi	PROPN
cana-6100	261	12	,	,	PUNCT
cana-6100	261	13	s.s	s.s	PROPN
cana-6100	261	14	.	.	PROPN
cana-6100	261	15	sajjadi	sajjadi	PROPN
cana-6100	261	16	,	,	PUNCT
cana-6100	261	17	n.	n.	PROPN
cana-6100	261	18	alshaikh	alshaikh	PROPN
cana-6100	261	19	,	,	PUNCT
cana-6100	261	20	j.h	j.h	PROPN
cana-6100	261	21	.	.	PROPN
cana-6100	261	22	asad	asad	PROPN
cana-6100	261	23	,	,	PUNCT
cana-6100	261	24	fractional	fractional	ADJ
cana-6100	261	25	treatment	treatment	NOUN
cana-6100	261	26	:	:	PUNCT
cana-6100	261	27	an	an	DET
cana-6100	261	28	accelerated	accelerate	VERB
cana-6100	261	29	mass	mass	ADJ
cana-6100	261	30	-	-	PUNCT
cana-6100	261	31	spring	spring	NOUN
cana-6100	261	32	system	system	NOUN
cana-6100	261	33	,	,	PUNCT
cana-6100	261	34	2022	2022	NUM
cana-6100	261	35	.	.	PUNCT
cana-6100	262	1	[	[	X
cana-6100	262	2	16	16	NUM
cana-6100	262	3	]	]	X
cana-6100	262	4	r.	r.	PROPN
cana-6100	262	5	luo	luo	PROPN
cana-6100	262	6	,	,	PUNCT
cana-6100	262	7	h.	h.	PROPN
cana-6100	262	8	emadifar	emadifar	PROPN
cana-6100	262	9	,	,	PUNCT
cana-6100	262	10	m.	m.	NOUN
cana-6100	262	11	ur	ur	PROPN
cana-6100	262	12	rahman	rahman	PROPN
cana-6100	262	13	,	,	PUNCT
cana-6100	262	14	et	et	PROPN
cana-6100	262	15	al	al	PROPN
cana-6100	262	16	.	.	PROPN
cana-6100	262	17	,	,	PUNCT
cana-6100	262	18	bifurcations	bifurcation	NOUN
cana-6100	262	19	,	,	PUNCT
cana-6100	262	20	chaotic	chaotic	ADJ
cana-6100	262	21	dynamics	dynamic	NOUN
cana-6100	262	22	,	,	PUNCT
cana-6100	262	23	sensitivity	sensitivity	NOUN
cana-6100	262	24	analysis	analysis	NOUN
cana-6100	262	25	and	and	CCONJ
cana-6100	262	26	some	some	DET
cana-6100	262	27	novel	novel	ADJ
cana-6100	262	28	optical	optical	ADJ
cana-6100	262	29	solitons	soliton	NOUN
cana-6100	262	30	of	of	ADP
cana-6100	262	31	the	the	DET
cana-6100	262	32	perturbed	perturb	VERB
cana-6100	262	33	non	non	ADJ
cana-6100	262	34	-	-	ADJ
cana-6100	262	35	linear	linear	ADJ
cana-6100	262	36	schrödinger	schrödinger	ADJ
cana-6100	262	37	equation	equation	NOUN
cana-6100	262	38	with	with	ADP
cana-6100	262	39	kerr	kerr	PROPN
cana-6100	262	40	law	law	PROPN
cana-6100	262	41	non	non	PROPN
cana-6100	262	42	-	-	ADJ
cana-6100	262	43	linearity	linearity	ADJ
cana-6100	262	44	,	,	PUNCT
cana-6100	262	45	results	result	VERB
cana-6100	262	46	phys	phy	NOUN
cana-6100	262	47	.	.	PUNCT
cana-6100	263	1	54	54	NUM
cana-6100	263	2	(	(	PUNCT
cana-6100	263	3	2023	2023	NUM
cana-6100	263	4	)	)	PUNCT
cana-6100	263	5	107133	107133	NUM
cana-6100	263	6	.	.	PUNCT
cana-6100	264	1	[	[	X
cana-6100	264	2	17	17	NUM
cana-6100	264	3	]	]	X
cana-6100	264	4	z.	z.	PROPN
cana-6100	264	5	eskandari	eskandari	PROPN
cana-6100	264	6	,	,	PUNCT
cana-6100	264	7	z.	z.	PROPN
cana-6100	264	8	avazzadeh	avazzadeh	PROPN
cana-6100	264	9	,	,	PUNCT
cana-6100	264	10	r.	r.	PROPN
cana-6100	264	11	khoshsiar	khoshsiar	PROPN
cana-6100	264	12	ghaziani	ghaziani	PROPN
cana-6100	264	13	,	,	PUNCT
cana-6100	264	14	b.	b.	PROPN
cana-6100	264	15	li	li	PROPN
cana-6100	264	16	,	,	PUNCT
cana-6100	264	17	dynamics	dynamic	NOUN
cana-6100	264	18	and	and	CCONJ
cana-6100	264	19	bifurcations	bifurcation	NOUN
cana-6100	264	20	of	of	ADP
cana-6100	264	21	a	a	DET
cana-6100	264	22	discrete	discrete	ADJ
cana-6100	264	23	-	-	PUNCT
cana-6100	264	24	time	time	NOUN
cana-6100	264	25	lotka	lotka	PROPN
cana-6100	264	26	–	–	PUNCT
cana-6100	264	27	volterra	volterra	NOUN
cana-6100	264	28	model	model	NOUN
cana-6100	264	29	using	use	VERB
cana-6100	264	30	nonstandard	nonstandard	ADJ
cana-6100	264	31	finite	finite	ADJ
cana-6100	264	32	difference	difference	NOUN
cana-6100	264	33	discretization	discretization	NOUN
cana-6100	264	34	method	method	NOUN
cana-6100	264	35	,	,	PUNCT
cana-6100	264	36	math	math	NOUN
cana-6100	264	37	.	.	PUNCT
cana-6100	265	1	methods	method	NOUN
cana-6100	265	2	appl	appl	PROPN
cana-6100	265	3	.	.	PUNCT
cana-6100	266	1	sci	sci	PROPN
cana-6100	266	2	.	.	PUNCT
cana-6100	266	3	(	(	PUNCT
cana-6100	266	4	2022	2022	NUM
cana-6100	266	5	)	)	PUNCT
cana-6100	266	6	.	.	PUNCT
cana-6100	267	1	[	[	X
cana-6100	267	2	18	18	NUM
cana-6100	267	3	]	]	X
cana-6100	267	4	b.	b.	PROPN
cana-6100	267	5	li	li	PROPN
cana-6100	267	6	,	,	PUNCT
cana-6100	267	7	h.	h.	PROPN
cana-6100	267	8	liang	liang	PROPN
cana-6100	267	9	,	,	PUNCT
cana-6100	267	10	q.	q.	PROPN
cana-6100	267	11	he	he	PRON
cana-6100	267	12	,	,	PUNCT
cana-6100	267	13	multiple	multiple	ADJ
cana-6100	267	14	and	and	CCONJ
cana-6100	267	15	generic	generic	ADJ
cana-6100	267	16	bifurcation	bifurcation	NOUN
cana-6100	267	17	analysis	analysis	NOUN
cana-6100	267	18	of	of	ADP
cana-6100	267	19	a	a	DET
cana-6100	267	20	discrete	discrete	ADJ
cana-6100	267	21	hindmarsh	hindmarsh	NOUN
cana-6100	267	22	-	-	PUNCT
cana-6100	267	23	rose	rose	NOUN
cana-6100	267	24	model	model	NOUN
cana-6100	267	25	,	,	PUNCT
cana-6100	267	26	chaos	chaos	NOUN
cana-6100	267	27	solitons	soliton	NOUN
cana-6100	267	28	fractals	fractal	VERB
cana-6100	267	29	146	146	NUM
cana-6100	267	30	(	(	PUNCT
cana-6100	267	31	2021	2021	NUM
cana-6100	267	32	)	)	PUNCT
cana-6100	267	33	110856	110856	NUM
cana-6100	267	34	.	.	PUNCT
cana-6100	268	1	[	[	X
cana-6100	268	2	19	19	NUM
cana-6100	268	3	]	]	PUNCT
cana-6100	268	4	m.	m.	NOUN
cana-6100	268	5	el	el	PROPN
cana-6100	268	6	-	-	PUNCT
cana-6100	268	7	shorbagy	shorbagy	ADJ
cana-6100	268	8	,	,	PUNCT
cana-6100	268	9	s.	s.	PROPN
cana-6100	268	10	akram	akram	PROPN
cana-6100	268	11	,	,	PUNCT
cana-6100	268	12	m.	m.	NOUN
cana-6100	268	13	ur	ur	PROPN
cana-6100	268	14	rahman	rahman	PROPN
cana-6100	268	15	,	,	PUNCT
cana-6100	268	16	propagation	propagation	NOUN
cana-6100	268	17	of	of	ADP
cana-6100	268	18	solitary	solitary	ADJ
cana-6100	268	19	wave	wave	NOUN
cana-6100	268	20	solutions	solution	NOUN
cana-6100	268	21	to	to	ADP
cana-6100	268	22	(	(	PUNCT
cana-6100	268	23	4	4	NUM
cana-6100	268	24	+	+	NOUN
cana-6100	268	25	1)-dimensional	1)-dimensional	ADJ
cana-6100	268	26	davey	davey	NOUN
cana-6100	268	27	–	–	PUNCT
cana-6100	268	28	stewartson	stewartson	NOUN
cana-6100	268	29	–	–	PUNCT
cana-6100	268	30	kadomtsev	kadomtsev	ADJ
cana-6100	268	31	–	–	PUNCT
cana-6100	268	32	petviashvili	petviashvili	NOUN
cana-6100	268	33	equation	equation	NOUN
cana-6100	268	34	arise	arise	VERB
cana-6100	268	35	in	in	ADP
cana-6100	268	36	mathematical	mathematical	ADJ
cana-6100	268	37	physics	physics	NOUN
cana-6100	268	38	and	and	CCONJ
cana-6100	268	39	stability	stability	NOUN
cana-6100	268	40	analysis	analysis	NOUN
cana-6100	268	41	,	,	PUNCT
cana-6100	268	42	partial	partial	ADJ
cana-6100	268	43	differ	differ	VERB
cana-6100	268	44	.	.	PUNCT
cana-6100	269	1	equ	equ	PROPN
cana-6100	269	2	.	.	PUNCT
cana-6100	269	3	appl	appl	PROPN
cana-6100	269	4	.	.	PROPN
cana-6100	269	5	math	math	NOUN
cana-6100	269	6	.	.	PUNCT
cana-6100	270	1	10	10	NUM
cana-6100	270	2	communications	communication	NOUN
cana-6100	270	3	on	on	ADP
cana-6100	270	4	applied	apply	VERB
cana-6100	270	5	nonlinear	nonlinear	ADJ
cana-6100	270	6	analysis	analysis	NOUN
cana-6100	270	7	issn	issn	NOUN
cana-6100	270	8	:	:	PUNCT
cana-6100	270	9	1074	1074	NUM
cana-6100	270	10	-	-	PUNCT
cana-6100	270	11	133x	133x	NUM
cana-6100	270	12	vol	vol	VERB
cana-6100	270	13	32	32	NUM
cana-6100	270	14	no	no	NOUN
cana-6100	270	15	.	.	PUNCT
cana-6100	271	1	10s	10	NOUN
cana-6100	271	2	(	(	PUNCT
cana-6100	271	3	2025	2025	NUM
cana-6100	271	4	)	)	PUNCT
cana-6100	271	5	3386	3386	NUM
cana-6100	271	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	271	7	(	(	PUNCT
cana-6100	271	8	2024	2024	NUM
cana-6100	271	9	)	)	PUNCT
cana-6100	271	10	100669	100669	NUM
cana-6100	271	11	.	.	PUNCT
cana-6100	272	1	[	[	X
cana-6100	272	2	20	20	NUM
cana-6100	272	3	]	]	X
cana-6100	272	4	seadawy	seadawy	PROPN
cana-6100	272	5	ar	ar	PROPN
cana-6100	272	6	.	.	PROPN
cana-6100	272	7	exact	exact	ADJ
cana-6100	272	8	solutions	solution	NOUN
cana-6100	272	9	of	of	ADP
cana-6100	272	10	a	a	DET
cana-6100	272	11	two	two	NUM
cana-6100	272	12	-	-	PUNCT
cana-6100	272	13	dimensional	dimensional	ADJ
cana-6100	272	14	nonlinear	nonlinear	ADJ
cana-6100	272	15	schrödinger	schrödinger	ADJ
cana-6100	272	16	equation	equation	NOUN
cana-6100	272	17	.	.	PUNCT
cana-6100	273	1	applied	apply	VERB
cana-6100	273	2	mathematics	mathematic	NOUN
cana-6100	273	3	getters	getter	NOUN
cana-6100	273	4	.	.	PUNCT
cana-6100	274	1	2012	2012	NUM
cana-6100	274	2	;	;	PUNCT
cana-6100	275	1	25(4	25(4	NOUN
cana-6100	275	2	):	):	PUNCT
cana-6100	275	3	687–691	687–691	NUM
cana-6100	275	4	.	.	PUNCT
cana-6100	275	5	available	available	ADJ
cana-6100	275	6	from	from	ADP
cana-6100	275	7	:	:	PUNCT
cana-6100	275	8	https://doi	https://doi	PROPN
cana-6100	275	9	.	.	PUNCT
cana-6100	276	1	org/10.1016	org/10.1016	PROPN
cana-6100	276	2	/	/	SYM
cana-6100	276	3	j.aml.2011.09.030	j.aml.2011.09.030	PROPN
cana-6100	276	4	.	.	PUNCT
cana-6100	277	1	[	[	X
cana-6100	277	2	21	21	NUM
cana-6100	277	3	]	]	X
cana-6100	277	4	liu	liu	PROPN
cana-6100	277	5	,	,	PUNCT
cana-6100	277	6	w.	w.	PROPN
cana-6100	277	7	m.	m.	PROPN
cana-6100	277	8	,	,	PUNCT
cana-6100	277	9	&	&	CCONJ
cana-6100	277	10	kengne	kengne	PROPN
cana-6100	277	11	,	,	PUNCT
cana-6100	277	12	e.	e.	PROPN
cana-6100	277	13	2019	2019	NUM
cana-6100	277	14	.	.	PUNCT
cana-6100	278	1	schrödinger	schrödinger	ADJ
cana-6100	278	2	equations	equation	NOUN
cana-6100	278	3	in	in	ADP
cana-6100	278	4	nonlinear	nonlinear	ADJ
cana-6100	278	5	systems	system	NOUN
cana-6100	278	6	.	.	PUNCT
cana-6100	279	1	singapore	singapore	PROPN
cana-6100	279	2	:	:	PUNCT
cana-6100	279	3	springer	springer	NOUN
cana-6100	279	4	.	.	PUNCT
cana-6100	280	1	[	[	X
cana-6100	280	2	22	22	NUM
cana-6100	280	3	]	]	SYM
cana-6100	280	4	alkhawaja	alkhawaja	PROPN
cana-6100	280	5	,	,	PUNCT
cana-6100	280	6	u.	u.	PROPN
cana-6100	280	7	;	;	PUNCT
cana-6100	280	8	alsakkaf	alsakkaf	PROPN
cana-6100	280	9	,	,	PUNCT
cana-6100	280	10	l.	l.	PROPN
cana-6100	280	11	2019	2019	NUM
cana-6100	280	12	.	.	PUNCT
cana-6100	281	1	handbook	handbook	NOUN
cana-6100	281	2	of	of	ADP
cana-6100	281	3	exact	exact	ADJ
cana-6100	281	4	solutions	solution	NOUN
cana-6100	281	5	to	to	ADP
cana-6100	281	6	the	the	DET
cana-6100	281	7	nonlinear	nonlinear	ADJ
cana-6100	281	8	schrödinger	schrödinger	ADJ
cana-6100	281	9	equations	equation	NOUN
cana-6100	281	10	;	;	PUNCT
cana-6100	281	11	institute	institute	NOUN
cana-6100	281	12	of	of	ADP
cana-6100	281	13	physics	physics	PROPN
cana-6100	281	14	(	(	PUNCT
cana-6100	281	15	iop	iop	PROPN
cana-6100	281	16	)	)	PUNCT
cana-6100	281	17	publishing	publishing	NOUN
cana-6100	281	18	:	:	PUNCT
cana-6100	281	19	bristol	bristol	PROPN
cana-6100	281	20	,	,	PUNCT
cana-6100	281	21	uk	uk	PROPN
cana-6100	281	22	.	.	PUNCT
cana-6100	282	1	[	[	X
cana-6100	282	2	23	23	NUM
cana-6100	282	3	]	]	X
cana-6100	282	4	zakharov	zakharov	PROPN
cana-6100	282	5	,	,	PUNCT
cana-6100	282	6	v.	v.	ADV
cana-6100	282	7	,	,	PUNCT
cana-6100	282	8	kuznetsov	kuznetsov	PROPN
cana-6100	282	9	,	,	PUNCT
cana-6100	282	10	e.	e.	PROPN
cana-6100	282	11	a.	a.	PROPN
cana-6100	282	12	1986	1986	NUM
cana-6100	282	13	.	.	PUNCT
cana-6100	283	1	multiscale	multiscale	ADJ
cana-6100	283	2	expansions	expansion	NOUN
cana-6100	283	3	in	in	ADP
cana-6100	283	4	the	the	DET
cana-6100	283	5	theory	theory	NOUN
cana-6100	283	6	of	of	ADP
cana-6100	283	7	systems	system	NOUN
cana-6100	283	8	integrable	integrable	ADJ
cana-6100	283	9	by	by	ADP
cana-6100	283	10	the	the	DET
cana-6100	283	11	inverse	inverse	NOUN
cana-6100	283	12	scattering	scattering	NOUN
cana-6100	283	13	transform	transform	NOUN
cana-6100	283	14	,	,	PUNCT
cana-6100	283	15	physica	physica	NOUN
cana-6100	283	16	d,18	d,18	PROPN
cana-6100	283	17	,	,	PUNCT
cana-6100	283	18	455	455	NUM
cana-6100	283	19	-	-	SYM
cana-6100	283	20	63	63	NUM
cana-6100	283	21	.	.	PUNCT
cana-6100	284	1	[	[	X
cana-6100	284	2	24	24	NUM
cana-6100	284	3	]	]	PUNCT
cana-6100	284	4	calegora	calegora	NOUN
cana-6100	284	5	f	f	PROPN
cana-6100	284	6	,	,	PUNCT
cana-6100	284	7	degasperis	degasperis	VERB
cana-6100	284	8	a	a	PRON
cana-6100	284	9	,	,	PUNCT
cana-6100	284	10	xiaosdo	xiaosdo	PROPN
cana-6100	284	11	ji	ji	PROPN
cana-6100	284	12	.	.	PROPN
cana-6100	284	13	2000	2000	NUM
cana-6100	284	14	.	.	PUNCT
cana-6100	285	1	nonlinear	nonlinear	ADJ
cana-6100	285	2	schrödinger	schrödinger	ADJ
cana-6100	285	3	-	-	PUNCT
cana-6100	285	4	type	type	NOUN
cana-6100	285	5	equations	equation	NOUN
cana-6100	285	6	from	from	ADP
cana-6100	285	7	multiscale	multiscale	ADJ
cana-6100	285	8	reduction	reduction	NOUN
cana-6100	285	9	of	of	ADP
cana-6100	285	10	pdes	pde	NOUN
cana-6100	285	11	i.	i.	PROPN
cana-6100	285	12	systematic	systematic	ADJ
cana-6100	285	13	derivation	derivation	NOUN
cana-6100	285	14	.	.	PUNCT
cana-6100	286	1	j	j	PROPN
cana-6100	286	2	math	math	PROPN
cana-6100	286	3	phys	phys	PROPN
cana-6100	286	4	,	,	PUNCT
cana-6100	286	5	41,9,6399	41,9,6399	PROPN
cana-6100	286	6	–	–	PUNCT
cana-6100	286	7	443	443	NUM
cana-6100	286	8	.	.	PUNCT
cana-6100	287	1	[	[	X
cana-6100	287	2	25	25	NUM
cana-6100	287	3	]	]	PUNCT
cana-6100	287	4	degasperis	degasperis	VERB
cana-6100	287	5	a	a	DET
cana-6100	287	6	,	,	PUNCT
cana-6100	287	7	manakov	manakov	PROPN
cana-6100	287	8	sv	sv	PROPN
cana-6100	287	9	,	,	PUNCT
cana-6100	287	10	santini	santini	PROPN
cana-6100	287	11	pm	pm	NOUN
cana-6100	287	12	.	.	PUNCT
cana-6100	287	13	1997	1997	NUM
cana-6100	287	14	.	.	PUNCT
cana-6100	288	1	multiple	multiple	ADJ
cana-6100	288	2	-	-	PUNCT
cana-6100	288	3	scale	scale	NOUN
cana-6100	288	4	perturbation	perturbation	NOUN
cana-6100	288	5	beyond	beyond	ADP
cana-6100	288	6	nonlinear	nonlinear	ADJ
cana-6100	288	7	schrödinger	schrödinger	ADJ
cana-6100	288	8	equation	equation	NOUN
cana-6100	288	9	i.	i.	PROPN
cana-6100	288	10	physica	physica	PROPN
cana-6100	288	11	d	d	PROPN
cana-6100	288	12	,	,	PUNCT
cana-6100	288	13	100	100	NUM
cana-6100	288	14	,	,	PUNCT
cana-6100	288	15	187–211	187–211	NUM
cana-6100	288	16	.	.	PUNCT
cana-6100	289	1	[	[	X
cana-6100	289	2	26	26	NUM
cana-6100	289	3	]	]	X
cana-6100	289	4	osborne	osborne	PROPN
cana-6100	289	5	ar	ar	PROPN
cana-6100	289	6	,	,	PUNCT
cana-6100	289	7	boffetta	boffetta	PROPN
cana-6100	289	8	g.1989	g.1989	VERB
cana-6100	289	9	.	.	PUNCT
cana-6100	290	1	the	the	DET
cana-6100	290	2	shallow	shallow	ADJ
cana-6100	290	3	water	water	NOUN
cana-6100	290	4	nls	nls	NOUN
cana-6100	290	5	equation	equation	NOUN
cana-6100	290	6	in	in	ADP
cana-6100	290	7	lagrangian	lagrangian	ADJ
cana-6100	290	8	coordinates	coordinate	NOUN
cana-6100	290	9	.	.	PUNCT
cana-6100	291	1	phys	phy	NOUN
cana-6100	291	2	fluid	fluid	VERB
cana-6100	291	3	a,7,1,1200–10	a,7,1,1200–10	NOUN
cana-6100	291	4	.	.	PUNCT
cana-6100	292	1	[	[	X
cana-6100	292	2	27	27	NUM
cana-6100	292	3	]	]	X
cana-6100	292	4	osborne	osborne	PROPN
cana-6100	292	5	ar	ar	PROPN
cana-6100	292	6	,	,	PUNCT
cana-6100	292	7	boffetta	boffetta	PROPN
cana-6100	292	8	g.	g.	PROPN
cana-6100	292	9	a	a	PROPN
cana-6100	292	10	,	,	PUNCT
cana-6100	292	11	.	.	PUNCT
cana-6100	292	12	1991	1991	NUM
cana-6100	292	13	summable	summable	ADJ
cana-6100	292	14	multiscale	multiscale	ADJ
cana-6100	292	15	expansion	expansion	NOUN
cana-6100	292	16	for	for	ADP
cana-6100	292	17	the	the	DET
cana-6100	292	18	kdv	kdv	NOUN
cana-6100	292	19	equation	equation	NOUN
cana-6100	292	20	.	.	PUNCT
cana-6100	293	1	in	in	ADP
cana-6100	293	2	:	:	PUNCT
cana-6100	293	3	degasperis	degasperis	VERB
cana-6100	293	4	a	a	DET
cana-6100	293	5	,	,	PUNCT
cana-6100	293	6	fordy	fordy	ADJ
cana-6100	293	7	a	a	DET
cana-6100	293	8	,	,	PUNCT
cana-6100	293	9	p	p	X
cana-6100	293	10	,	,	PUNCT
cana-6100	293	11	lakshmanan	lakshmanan	PROPN
cana-6100	293	12	m	m	PROPN
cana-6100	293	13	,	,	PUNCT
cana-6100	293	14	editors	editor	NOUN
cana-6100	293	15	,	,	PUNCT
cana-6100	293	16	nonlinear	nonlinear	ADJ
cana-6100	293	17	evolution	evolution	NOUN
cana-6100	293	18	equations	equation	NOUN
cana-6100	293	19	:	:	PUNCT
cana-6100	293	20	integrability	integrability	NOUN
cana-6100	293	21	and	and	CCONJ
cana-6100	293	22	spectral	spectral	ADJ
cana-6100	293	23	methods	method	NOUN
cana-6100	293	24	,	,	PUNCT
cana-6100	293	25	mup	mup	NOUN
cana-6100	293	26	,	,	PUNCT
cana-6100	293	27	manchester	manchester	PROPN
cana-6100	293	28	and	and	CCONJ
cana-6100	293	29	new	new	PROPN
cana-6100	293	30	york	york	PROPN
cana-6100	293	31	,	,	PUNCT
cana-6100	293	32	559	559	NUM
cana-6100	293	33	-	-	SYM
cana-6100	293	34	571	571	NUM
cana-6100	293	35	.	.	PUNCT
cana-6100	294	1	[	[	X
cana-6100	294	2	28	28	NUM
cana-6100	294	3	]	]	X
cana-6100	294	4	ozer	ozer	NOUN
cana-6100	294	5	m.	m.	NOUN
cana-6100	294	6	,n	,n	PROPN
cana-6100	294	7	.	.	PUNCT
cana-6100	294	8	,	,	PUNCT
cana-6100	294	9	dag	dag	PROPN
cana-6100	294	10	,	,	PUNCT
cana-6100	294	11	i.	i.	PROPN
cana-6100	294	12	2001	2001	NUM
cana-6100	294	13	.	.	PUNCT
cana-6100	295	1	the	the	DET
cana-6100	295	2	famous	famous	ADJ
cana-6100	295	3	nls	nls	NOUN
cana-6100	295	4	equation	equation	NOUN
cana-6100	295	5	from	from	ADP
cana-6100	295	6	fifth	fifth	ADJ
cana-6100	295	7	-	-	PUNCT
cana-6100	295	8	order	order	NOUN
cana-6100	295	9	integrable	integrable	ADJ
cana-6100	295	10	nonlinear	nonlinear	ADJ
cana-6100	295	11	evolution	evolution	PROPN
cana-6100	295	12	equations	equation	NOUN
cana-6100	295	13	.	.	PUNCT
cana-6100	296	1	hadronic	hadronic	PROPN
cana-6100	296	2	j	j	PROPN
cana-6100	296	3	,	,	PUNCT
cana-6100	296	4	24	24	NUM
cana-6100	296	5	,	,	PUNCT
cana-6100	296	6	2	2	NUM
cana-6100	296	7	,	,	PUNCT
cana-6100	296	8	195–206	195–206	NUM
cana-6100	296	9	.	.	PUNCT
cana-6100	297	1	[	[	X
cana-6100	297	2	29	29	NUM
cana-6100	297	3	]	]	SYM
cana-6100	297	4	ayhan	ayhan	PROPN
cana-6100	297	5	,	,	PUNCT
cana-6100	297	6	b.	b.	PROPN
cana-6100	297	7	,	,	PUNCT
cana-6100	297	8	özer	özer	NOUN
cana-6100	297	9	,	,	PUNCT
cana-6100	297	10	m.	m.	NOUN
cana-6100	297	11	n.	n.	PROPN
cana-6100	297	12	,	,	PUNCT
cana-6100	297	13	&	&	CCONJ
cana-6100	297	14	bekir	bekir	PROPN
cana-6100	297	15	,	,	PUNCT
cana-6100	297	16	a.	a.	NOUN
cana-6100	297	17	2016	2016	NUM
cana-6100	297	18	.	.	PUNCT
cana-6100	298	1	method	method	NOUN
cana-6100	298	2	of	of	ADP
cana-6100	298	3	multiple	multiple	ADJ
cana-6100	298	4	scales	scale	NOUN
cana-6100	298	5	and	and	CCONJ
cana-6100	298	6	travelling	travel	VERB
cana-6100	298	7	wave	wave	NOUN
cana-6100	298	8	solutions	solution	NOUN
cana-6100	298	9	for	for	ADP
cana-6100	298	10	(	(	PUNCT
cana-6100	298	11	2	2	NUM
cana-6100	298	12	+	+	NOUN
cana-6100	298	13	1)-dimensional	1)-dimensional	ADJ
cana-6100	298	14	kdv	kdv	NOUN
cana-6100	298	15	type	type	NOUN
cana-6100	298	16	nonlinear	nonlinear	ADJ
cana-6100	298	17	evolution	evolution	NOUN
cana-6100	298	18	equations	equation	NOUN
cana-6100	298	19	.	.	PUNCT
cana-6100	299	1	zeitschrift	zeitschrift	PROPN
cana-6100	299	2	für	für	PROPN
cana-6100	299	3	naturforschung	naturforschung	VERB
cana-6100	299	4	a	a	DET
cana-6100	299	5	,	,	PUNCT
cana-6100	299	6	71(8	71(8	NUM
cana-6100	299	7	)	)	PUNCT
cana-6100	299	8	,	,	PUNCT
cana-6100	299	9	703	703	NUM
cana-6100	299	10	-	-	SYM
cana-6100	299	11	713	713	NUM
cana-6100	299	12	.	.	PUNCT
cana-6100	300	1	[	[	X
cana-6100	300	2	30	30	NUM
cana-6100	300	3	]	]	X
cana-6100	300	4	wazwaz	wazwaz	NOUN
cana-6100	300	5	,	,	PUNCT
cana-6100	300	6	a.	a.	NOUN
cana-6100	300	7	m.	m.	NOUN
cana-6100	300	8	,	,	PUNCT
cana-6100	300	9	kaur	kaur	PROPN
cana-6100	300	10	,	,	PUNCT
cana-6100	300	11	l.	l.	PROPN
cana-6100	300	12	2019	2019	NUM
cana-6100	300	13	.	.	PUNCT
cana-6100	301	1	optical	optical	ADJ
cana-6100	301	2	solitons	soliton	NOUN
cana-6100	301	3	for	for	ADP
cana-6100	301	4	nonlinear	nonlinear	ADJ
cana-6100	301	5	schrödinger	schrödinger	NOUN
cana-6100	301	6	(	(	PUNCT
cana-6100	301	7	nls	nls	NOUN
cana-6100	301	8	)	)	PUNCT
cana-6100	301	9	equation	equation	NOUN
cana-6100	301	10	in	in	ADP
cana-6100	301	11	normal	normal	ADJ
cana-6100	301	12	dispersive	dispersive	ADJ
cana-6100	301	13	regimes	regime	NOUN
cana-6100	301	14	.	.	PUNCT
cana-6100	302	1	optik	optik	PROPN
cana-6100	302	2	,	,	PUNCT
cana-6100	302	3	184	184	NUM
cana-6100	302	4	,	,	PUNCT
cana-6100	302	5	428	428	NUM
cana-6100	302	6	-	-	SYM
cana-6100	302	7	435	435	NUM
cana-6100	302	8	.	.	PUNCT
cana-6100	303	1	[	[	X
cana-6100	303	2	31	31	NUM
cana-6100	303	3	]	]	PUNCT
cana-6100	303	4	dörfler	dörfler	NOUN
cana-6100	303	5	,	,	PUNCT
cana-6100	303	6	w.	w.	PROPN
cana-6100	303	7	,	,	PUNCT
cana-6100	303	8	lechleiter	lechleiter	PROPN
cana-6100	303	9	,	,	PUNCT
cana-6100	303	10	a.	a.	NOUN
cana-6100	303	11	,	,	PUNCT
cana-6100	303	12	plum	plum	NOUN
cana-6100	303	13	,	,	PUNCT
cana-6100	303	14	m.	m.	NOUN
cana-6100	303	15	,	,	PUNCT
cana-6100	303	16	schneider	schneider	PROPN
cana-6100	303	17	,	,	PUNCT
cana-6100	303	18	g.	g.	PROPN
cana-6100	303	19	,	,	PUNCT
cana-6100	303	20	wieners	wiener	NOUN
cana-6100	303	21	,	,	PUNCT
cana-6100	303	22	c.	c.	NOUN
cana-6100	303	23	,	,	PUNCT
cana-6100	303	24	dörfler	dörfler	NOUN
cana-6100	303	25	,	,	PUNCT
cana-6100	303	26	w.	w.	PROPN
cana-6100	303	27	,	,	PUNCT
cana-6100	303	28	...	...	PUNCT
cana-6100	303	29	wieners	wiener	NOUN
cana-6100	303	30	,	,	PUNCT
cana-6100	303	31	c.	c.	PROPN
cana-6100	303	32	2011	2011	NUM
cana-6100	303	33	.	.	PUNCT
cana-6100	304	1	the	the	DET
cana-6100	304	2	role	role	NOUN
cana-6100	304	3	of	of	ADP
cana-6100	304	4	the	the	DET
cana-6100	304	5	nonlinear	nonlinear	ADJ
cana-6100	304	6	schrödinger	schrödinger	ADJ
cana-6100	304	7	equation	equation	NOUN
cana-6100	304	8	in	in	ADP
cana-6100	304	9	nonlinear	nonlinear	ADJ
cana-6100	304	10	optics	optic	NOUN
cana-6100	304	11	.	.	PUNCT
cana-6100	305	1	photonic	photonic	ADJ
cana-6100	305	2	crystals	crystal	NOUN
cana-6100	305	3	:	:	PUNCT
cana-6100	305	4	mathematical	mathematical	ADJ
cana-6100	305	5	analysis	analysis	NOUN
cana-6100	305	6	and	and	CCONJ
cana-6100	305	7	numerical	numerical	ADJ
cana-6100	305	8	approximation	approximation	NOUN
cana-6100	305	9	,	,	PUNCT
cana-6100	305	10	127	127	NUM
cana-6100	305	11	-	-	SYM
cana-6100	305	12	162	162	NUM
cana-6100	305	13	.	.	PUNCT
cana-6100	306	1	[	[	X
cana-6100	306	2	32	32	NUM
cana-6100	306	3	]	]	PUNCT
cana-6100	306	4	arnaudon	arnaudon	PROPN
cana-6100	306	5	,	,	PUNCT
cana-6100	306	6	a.	a.	NOUN
cana-6100	306	7	2016	2016	NUM
cana-6100	306	8	.	.	PUNCT
cana-6100	307	1	on	on	ADP
cana-6100	307	2	a	a	DET
cana-6100	307	3	deformation	deformation	NOUN
cana-6100	307	4	of	of	ADP
cana-6100	307	5	the	the	DET
cana-6100	307	6	nonlinear	nonlinear	ADJ
cana-6100	307	7	schrödinger	schrödinger	ADJ
cana-6100	307	8	equation	equation	NOUN
cana-6100	307	9	.	.	PUNCT
cana-6100	308	1	journal	journal	PROPN
cana-6100	308	2	of	of	ADP
cana-6100	308	3	physics	physics	PROPN
cana-6100	308	4	a	a	PRON
cana-6100	308	5	:	:	PUNCT
cana-6100	308	6	mathematical	mathematical	ADJ
cana-6100	308	7	and	and	CCONJ
cana-6100	308	8	theoretical	theoretical	ADJ
cana-6100	308	9	,	,	PUNCT
cana-6100	308	10	49(12	49(12	NUM
cana-6100	308	11	)	)	PUNCT
cana-6100	308	12	.	.	PUNCT
cana-6100	309	1	https://doi.org/125202	https://doi.org/125202	X
cana-6100	309	2	.	.	PUNCT
cana-6100	310	1	10.1088/1751	10.1088/1751	NUM
cana-6100	310	2	-	-	SYM
cana-6100	310	3	8113/49/12/125202	8113/49/12/125202	PROPN
cana-6100	310	4	.	.	PUNCT
cana-6100	311	1	[	[	X
cana-6100	311	2	33	33	NUM
cana-6100	311	3	]	]	PUNCT
cana-6100	311	4	p.	p.	PROPN
cana-6100	311	5	d.	d.	PROPN
cana-6100	311	6	lax.1968	lax.1968	PROPN
cana-6100	311	7	.	.	PUNCT
cana-6100	312	1	integrals	integral	NOUN
cana-6100	312	2	of	of	ADP
cana-6100	312	3	nonlinear	nonlinear	ADJ
cana-6100	312	4	equations	equation	NOUN
cana-6100	312	5	of	of	ADP
cana-6100	312	6	evolution	evolution	NOUN
cana-6100	312	7	and	and	CCONJ
cana-6100	312	8	solitary	solitary	ADJ
cana-6100	312	9	waves	wave	NOUN
cana-6100	312	10	.	.	PUNCT
cana-6100	313	1	comm	comm	NOUN
cana-6100	313	2	.	.	PUNCT
cana-6100	314	1	pure	pure	ADJ
cana-6100	314	2	appl	appl	PROPN
cana-6100	314	3	.	.	PUNCT
cana-6100	314	4	math	math	PROPN
cana-6100	314	5	.	.	PUNCT
cana-6100	315	1	,	,	PUNCT
cana-6100	315	2	21:467	21:467	NUM
cana-6100	315	3	-	-	SYM
cana-6100	315	4	490	490	NUM
cana-6100	315	5	.	.	PUNCT
cana-6100	316	1	[	[	X
cana-6100	316	2	34	34	NUM
cana-6100	316	3	]	]	PUNCT
cana-6100	316	4	k.	k.	PROPN
cana-6100	316	5	sawada	sawada	PROPN
cana-6100	316	6	,	,	PUNCT
cana-6100	316	7	and	and	CCONJ
cana-6100	316	8	t.	t.	PROPN
cana-6100	316	9	kotera	kotera	PROPN
cana-6100	316	10	.	.	PUNCT
cana-6100	317	1	1974	1974	NUM
cana-6100	317	2	.	.	PUNCT
cana-6100	318	1	a	a	DET
cana-6100	318	2	method	method	NOUN
cana-6100	318	3	of	of	ADP
cana-6100	318	4	for	for	ADP
cana-6100	318	5	nding	nde	VERB
cana-6100	318	6	n	n	CCONJ
cana-6100	318	7	-	-	PUNCT
cana-6100	318	8	soliton	soliton	NOUN
cana-6100	318	9	solutions	solution	NOUN
cana-6100	318	10	of	of	ADP
cana-6100	318	11	the	the	DET
cana-6100	318	12	kdv	kdv	NOUN
cana-6100	318	13	and	and	CCONJ
cana-6100	318	14	kdv	kdv	NOUN
cana-6100	318	15	-	-	PUNCT
cana-6100	318	16	like	like	ADJ
cana-6100	318	17	equation	equation	NOUN
cana-6100	318	18	,	,	PUNCT
cana-6100	318	19	prog	prog	NOUN
cana-6100	318	20	.	.	PUNCT
cana-6100	319	1	theor	theor	PROPN
cana-6100	319	2	.	.	PUNCT
cana-6100	320	1	phys	phy	NOUN
cana-6100	320	2	.	.	PUNCT
cana-6100	321	1	51:1355	51:1355	NUM
cana-6100	321	2	-	-	SYM
cana-6100	321	3	1367	1367	NUM
cana-6100	321	4	.	.	PUNCT
cana-6100	322	1	[	[	X
cana-6100	322	2	35	35	NUM
cana-6100	322	3	]	]	PUNCT
cana-6100	322	4	m.	m.	NOUN
cana-6100	322	5	ito	ito	PROPN
cana-6100	322	6	.	.	PROPN
cana-6100	322	7	1980	1980	NUM
cana-6100	322	8	.	.	PUNCT
cana-6100	323	1	an	an	DET
cana-6100	323	2	extension	extension	NOUN
cana-6100	323	3	of	of	ADP
cana-6100	323	4	nonlinear	nonlinear	ADJ
cana-6100	323	5	evolution	evolution	NOUN
cana-6100	323	6	equations	equation	NOUN
cana-6100	323	7	of	of	ADP
cana-6100	323	8	the	the	DET
cana-6100	323	9	kdv(mkdv	kdv(mkdv	NOUN
cana-6100	323	10	)	)	PUNCT
cana-6100	323	11	type	type	NOUN
cana-6100	323	12	to	to	ADP
cana-6100	323	13	higher	high	ADJ
cana-6100	323	14	orders.j	orders.j	NOUN
cana-6100	323	15	.	.	PUNCT
cana-6100	324	1	phys	phy	NOUN
cana-6100	324	2	.	.	PUNCT
cana-6100	325	1	soc	soc	PROPN
cana-6100	325	2	.	.	PUNCT
cana-6100	326	1	japan	japan	PROPN
cana-6100	326	2	,	,	PUNCT
cana-6100	326	3	49:771	49:771	NUM
cana-6100	326	4	-	-	SYM
cana-6100	326	5	778	778	NUM
cana-6100	326	6	.	.	PUNCT
cana-6100	327	1	communications	communication	NOUN
cana-6100	327	2	on	on	ADP
cana-6100	327	3	applied	apply	VERB
cana-6100	327	4	nonlinear	nonlinear	ADJ
cana-6100	327	5	analysis	analysis	NOUN
cana-6100	327	6	issn	issn	NOUN
cana-6100	327	7	:	:	PUNCT
cana-6100	327	8	1074	1074	NUM
cana-6100	327	9	-	-	PUNCT
cana-6100	327	10	133x	133x	NUM
cana-6100	327	11	vol	vol	VERB
cana-6100	327	12	32	32	NUM
cana-6100	327	13	no	no	NOUN
cana-6100	327	14	.	.	PUNCT
cana-6100	328	1	10s	10	NOUN
cana-6100	328	2	(	(	PUNCT
cana-6100	328	3	2025	2025	NUM
cana-6100	328	4	)	)	PUNCT
cana-6100	328	5	3387	3387	NUM
cana-6100	328	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6100	329	1	[	[	X
cana-6100	329	2	36	36	NUM
cana-6100	329	3	]	]	PUNCT
cana-6100	329	4	m.	m.	PROPN
cana-6100	329	5	ito	ito	PROPN
cana-6100	329	6	.	.	PROPN
cana-6100	329	7	1986	1986	NUM
cana-6100	329	8	.	.	PUNCT
cana-6100	330	1	a	a	DET
cana-6100	330	2	reduce	reduce	VERB
cana-6100	330	3	program	program	NOUN
cana-6100	330	4	for	for	ADP
cana-6100	330	5	finding	find	VERB
cana-6100	330	6	symmetries	symmetry	NOUN
cana-6100	330	7	of	of	ADP
cana-6100	330	8	nonlinear	nonlinear	ADJ
cana-6100	330	9	evolution	evolution	NOUN
cana-6100	330	10	equations	equation	NOUN
cana-6100	330	11	with	with	ADP
cana-6100	330	12	uniform	uniform	PROPN
cana-6100	330	13	rank	rank	PROPN
cana-6100	330	14	.	.	PUNCT
cana-6100	331	1	comp	comp	NOUN
cana-6100	331	2	.	.	PUNCT
cana-6100	332	1	phys	phy	NOUN
cana-6100	332	2	.	.	PUNCT
cana-6100	333	1	comm	comm	NOUN
cana-6100	333	2	.	.	PUNCT
cana-6100	333	3	,	,	PUNCT
cana-6100	333	4	42:351	42:351	NOUN
cana-6100	333	5	-	-	SYM
cana-6100	333	6	357	357	NUM
cana-6100	333	7	.	.	PUNCT
cana-6100	334	1	[	[	X
cana-6100	334	2	37	37	NUM
cana-6100	334	3	]	]	PUNCT
cana-6100	334	4	a.	a.	NOUN
cana-6100	334	5	p.	p.	NOUN
cana-6100	334	6	fordy	fordy	PROPN
cana-6100	334	7	and	and	CCONJ
cana-6100	334	8	j.	j.	PROPN
cana-6100	334	9	gibbons	gibbons	PROPN
cana-6100	334	10	.	.	PUNCT
cana-6100	335	1	1980	1980	NUM
cana-6100	335	2	.	.	PUNCT
cana-6100	336	1	some	some	DET
cana-6100	336	2	remarkable	remarkable	ADJ
cana-6100	336	3	nonlinear	nonlinear	ADJ
cana-6100	336	4	transformations.phys	transformations.phy	NOUN
cana-6100	336	5	.	.	PUNCT
cana-6100	337	1	lett	lett	PROPN
cana-6100	337	2	.	.	PROPN
cana-6100	337	3	,	,	PUNCT
cana-6100	337	4	75	75	NUM
cana-6100	337	5	a:325	a:325	PROPN
cana-6100	337	6	-	-	PUNCT
cana-6100	337	7	334	334	NUM
cana-6100	337	8	.	.	PUNCT
cana-6100	338	1	[	[	X
cana-6100	338	2	38	38	NUM
cana-6100	338	3	]	]	PUNCT
cana-6100	338	4	j.	j.	PROPN
cana-6100	338	5	satsuma	satsuma	PROPN
cana-6100	338	6	,	,	PUNCT
cana-6100	338	7	and	and	CCONJ
cana-6100	338	8	d.j	d.j	PROPN
cana-6100	338	9	.	.	PROPN
cana-6100	338	10	kaup	kaup	PROPN
cana-6100	338	11	.	.	PUNCT
cana-6100	339	1	1977	1977	NUM
cana-6100	339	2	.	.	PUNCT
cana-6100	340	1	a	a	DET
cana-6100	340	2	backlund	backlund	PROPN
cana-6100	340	3	transformation	transformation	NOUN
cana-6100	340	4	for	for	ADP
cana-6100	340	5	a	a	DET
cana-6100	340	6	higher	high	ADJ
cana-6100	340	7	order	order	NOUN
cana-6100	340	8	korteweg	korteweg	NOUN
cana-6100	340	9	-	-	PUNCT
cana-6100	340	10	de	de	NOUN
cana-6100	340	11	vries	vries	PROPN
cana-6100	340	12	equation	equation	NOUN
cana-6100	340	13	.	.	PUNCT
cana-6100	341	1	j.	j.	PROPN
cana-6100	341	2	phys	phys	PROPN
cana-6100	341	3	.	.	PUNCT
cana-6100	342	1	soc	soc	PROPN
cana-6100	342	2	.	.	PUNCT
cana-6100	343	1	japan	japan	PROPN
cana-6100	343	2	.	.	PUNCT
cana-6100	344	1	43:692	43:692	NUM
cana-6100	344	2	-	-	SYM
cana-6100	344	3	697	697	NUM
cana-6100	344	4	.	.	PUNCT
cana-6100	345	1	[	[	X
cana-6100	345	2	39	39	NUM
cana-6100	345	3	]	]	PUNCT
cana-6100	345	4	d.	d.	PROPN
cana-6100	345	5	kaup	kaup	PROPN
cana-6100	345	6	.	.	PUNCT
cana-6100	346	1	1980	1980	NUM
cana-6100	346	2	.	.	PUNCT
cana-6100	347	1	on	on	ADP
cana-6100	347	2	the	the	DET
cana-6100	347	3	inverse	inverse	NOUN
cana-6100	347	4	scattering	scattering	NOUN
cana-6100	347	5	problem	problem	NOUN
cana-6100	347	6	for	for	ADP
cana-6100	347	7	cubic	cubic	ADJ
cana-6100	347	8	eigenvalue	eigenvalue	NOUN
cana-6100	347	9	problems	problem	NOUN
cana-6100	347	10	of	of	ADP
cana-6100	347	11	the	the	DET
cana-6100	347	12	class	class	NOUN
cana-6100	347	13	uxxx	uxxx	NOUN
cana-6100	347	14	+	+	CCONJ
cana-6100	347	15	6qux	6qux	NUM
cana-6100	347	16	+	+	CCONJ
cana-6100	347	17	6ru	6ru	ADJ
cana-6100	347	18	=	=	SYM
cana-6100	347	19	?	?	NOUN
cana-6100	347	20	u.	u.	NOUN
cana-6100	347	21	stud	stud	PROPN
cana-6100	347	22	.	.	PUNCT
cana-6100	348	1	appl	appl	PROPN
cana-6100	348	2	.	.	PROPN
cana-6100	348	3	math	math	PROPN
cana-6100	348	4	.	.	PUNCT
cana-6100	348	5	,	,	PUNCT
cana-6100	349	1	62:189216	62:189216	X
cana-6100	349	2	.	.	PUNCT
cana-6100	350	1	[	[	X
cana-6100	350	2	40	40	NUM
cana-6100	350	3	]	]	PUNCT
cana-6100	350	4	b.	b.	PROPN
cana-6100	350	5	a.	a.	PROPN
cana-6100	350	6	kupershmidt	kupershmidt	PROPN
cana-6100	350	7	.	.	PUNCT
cana-6100	350	8	1984	1984	NUM
cana-6100	350	9	.	.	PUNCT
cana-6100	351	1	a	a	DET
cana-6100	351	2	super	super	ADV
cana-6100	351	3	korteweg	korteweg	NOUN
cana-6100	351	4	-	-	PUNCT
cana-6100	351	5	de	de	NOUN
cana-6100	351	6	vries	vries	PROPN
cana-6100	351	7	equation	equation	NOUN
cana-6100	351	8	:	:	PUNCT
cana-6100	351	9	an	an	DET
cana-6100	351	10	integrable	integrable	ADJ
cana-6100	351	11	system	system	NOUN
cana-6100	351	12	.	.	PUNCT
cana-6100	352	1	phys	phy	NOUN
cana-6100	352	2	.	.	PUNCT
cana-6100	353	1	lett	lett	PROPN
cana-6100	353	2	.	.	PUNCT
cana-6100	354	1	102	102	NUM
cana-6100	354	2	a	a	DET
cana-6100	354	3	:	:	PUNCT
cana-6100	354	4	213	213	NUM
cana-6100	354	5	-	-	SYM
cana-6100	354	6	215	215	NUM
cana-6100	354	7	.	.	PUNCT
cana-6100	355	1	[	[	X
cana-6100	355	2	41	41	NUM
cana-6100	355	3	]	]	PUNCT
cana-6100	355	4	m.	m.	NOUN
cana-6100	355	5	jimbo	jimbo	PROPN
cana-6100	355	6	and	and	CCONJ
cana-6100	355	7	t.	t.	PROPN
cana-6100	355	8	miwa	miwa	PROPN
cana-6100	355	9	.	.	PUNCT
cana-6100	356	1	1983	1983	NUM
cana-6100	356	2	.	.	PUNCT
cana-6100	357	1	solitons	soliton	NOUN
cana-6100	357	2	and	and	CCONJ
cana-6100	357	3	infinite	infinite	ADJ
cana-6100	357	4	-	-	PUNCT
cana-6100	357	5	dimensional	dimensional	ADJ
cana-6100	357	6	lie	lie	NOUN
cana-6100	357	7	algebras	algebra	NOUN
cana-6100	357	8	.	.	PUNCT
cana-6100	357	9	publ	publ	PROPN
cana-6100	357	10	.	.	PUNCT
cana-6100	358	1	rims	rims	PROPN
cana-6100	358	2	,	,	PUNCT
cana-6100	358	3	kyoto	kyoto	PROPN
cana-6100	358	4	univ	univ	PROPN
cana-6100	358	5	.	.	PROPN
cana-6100	358	6	,	,	PUNCT
cana-6100	358	7	19:943	19:943	NUM
cana-6100	358	8	-	-	SYM
cana-6100	358	9	1001	1001	NUM
cana-6100	358	10	.	.	PUNCT
cana-6100	359	1	[	[	X
cana-6100	359	2	42	42	NUM
cana-6100	359	3	]	]	PUNCT
cana-6100	359	4	a.m.wazwaz	a.m.wazwaz	NOUN
cana-6100	359	5	.	.	PUNCT
cana-6100	360	1	2007	2007	NUM
cana-6100	360	2	.	.	PUNCT
cana-6100	361	1	the	the	DET
cana-6100	361	2	extended	extend	VERB
cana-6100	361	3	tanh	tanh	NOUN
cana-6100	361	4	method	method	NOUN
cana-6100	361	5	for	for	ADP
cana-6100	361	6	new	new	ADJ
cana-6100	361	7	solitons	soliton	NOUN
cana-6100	361	8	solutions	solution	NOUN
cana-6100	361	9	for	for	ADP
cana-6100	361	10	many	many	ADJ
cana-6100	361	11	forms	form	NOUN
cana-6100	361	12	of	of	ADP
cana-6100	361	13	the	the	DET
cana-6100	361	14	fifth	fifth	ADJ
cana-6100	361	15	-	-	PUNCT
cana-6100	361	16	order	order	NOUN
cana-6100	361	17	kdv	kdv	NOUN
cana-6100	361	18	equations	equation	NOUN
cana-6100	361	19	.	.	PUNCT
cana-6100	362	1	appl	appl	PROPN
cana-6100	362	2	.	.	PROPN
cana-6100	362	3	math	math	PROPN
cana-6100	362	4	.	.	PUNCT
cana-6100	363	1	comp	comp	PROPN
cana-6100	363	2	.	.	PUNCT
cana-6100	363	3	,	,	PUNCT
cana-6100	363	4	84(2	84(2	NUM
cana-6100	363	5	):	):	PUNCT
cana-6100	363	6	1002–1014	1002–1014	NUM
cana-6100	363	7	.	.	PUNCT
cana-6100	364	1	[	[	X
cana-6100	364	2	43	43	NUM
cana-6100	364	3	]	]	PUNCT
cana-6100	364	4	a.	a.	PROPN
cana-6100	364	5	h.	h.	PROPN
cana-6100	364	6	salas	salas	PROPN
cana-6100	364	7	.	.	PUNCT
cana-6100	364	8	2008	2008	NUM
cana-6100	364	9	.	.	PUNCT
cana-6100	365	1	some	some	DET
cana-6100	365	2	solutions	solution	NOUN
cana-6100	365	3	for	for	ADP
cana-6100	365	4	a	a	DET
cana-6100	365	5	type	type	NOUN
cana-6100	365	6	of	of	ADP
cana-6100	365	7	generalized	generalized	ADJ
cana-6100	365	8	sawada	sawada	NOUN
cana-6100	365	9	–	–	PUNCT
cana-6100	365	10	kotera	kotera	NOUN
cana-6100	365	11	equation.applied	equation.applie	VERB
cana-6100	365	12	mathematics	mathematic	NOUN
cana-6100	365	13	and	and	CCONJ
cana-6100	365	14	computation	computation	NOUN
cana-6100	365	15	,	,	PUNCT
cana-6100	365	16	196:812–817	196:812–817	NUM
cana-6100	365	17	.	.	PUNCT
cana-6100	366	1	[	[	X
cana-6100	366	2	44	44	NUM
cana-6100	366	3	]	]	X
cana-6100	366	4	pomeau	pomeau	PROPN
cana-6100	366	5	y	y	PROPN
cana-6100	366	6	,	,	PUNCT
cana-6100	366	7	ramani	ramani	PROPN
cana-6100	366	8	a	a	DET
cana-6100	366	9	,	,	PUNCT
cana-6100	366	10	grammaticos	grammaticos	PROPN
cana-6100	366	11	b.	b.	PROPN
cana-6100	366	12	structural	structural	ADJ
cana-6100	366	13	stability	stability	NOUN
cana-6100	366	14	of	of	ADP
cana-6100	366	15	the	the	DET
cana-6100	366	16	korteweg	korteweg	NOUN
cana-6100	366	17	–	–	PUNCT
cana-6100	366	18	de	de	PROPN
cana-6100	366	19	vries	vries	NOUN
cana-6100	366	20	solitons	soliton	NOUN
cana-6100	366	21	under	under	ADP
cana-6100	366	22	a	a	DET
cana-6100	366	23	singular	singular	ADJ
cana-6100	366	24	perturbation	perturbation	NOUN
cana-6100	366	25	.	.	PUNCT
cana-6100	367	1	physica	physica	PROPN
cana-6100	367	2	d	d	PROPN
cana-6100	367	3	1988	1988	NUM
cana-6100	367	4	;	;	PUNCT
cana-6100	367	5	31:127–134	31:127–134	NUM
cana-6100	367	6	.	.	PUNCT
cana-6100	368	1	[	[	X
cana-6100	368	2	45	45	NUM
cana-6100	368	3	]	]	X
cana-6100	368	4	wazwaz	wazwaz	PROPN
cana-6100	368	5	am	am	PROPN
cana-6100	368	6	.	.	PUNCT
cana-6100	369	1	the	the	DET
cana-6100	369	2	hirota	hirota	NOUN
cana-6100	369	3	's	's	PART
cana-6100	369	4	direct	direct	ADJ
cana-6100	369	5	method	method	NOUN
cana-6100	369	6	and	and	CCONJ
cana-6100	369	7	the	the	DET
cana-6100	369	8	tanh	tanh	PROPN
cana-6100	369	9	–	–	PUNCT
cana-6100	369	10	coth	coth	NOUN
cana-6100	369	11	method	method	NOUN
cana-6100	369	12	for	for	ADP
cana-6100	369	13	multiplesoliton	multiplesoliton	NOUN
cana-6100	369	14	solutions	solution	NOUN
cana-6100	369	15	of	of	ADP
cana-6100	369	16	the	the	DET
cana-6100	369	17	sawada	sawada	NOUN
cana-6100	369	18	–	–	PUNCT
cana-6100	369	19	kotera	kotera	PROPN
cana-6100	369	20	–	–	PUNCT
cana-6100	369	21	ito	ito	PROPN
cana-6100	369	22	seventh	seventh	ADJ
cana-6100	369	23	-	-	PUNCT
cana-6100	369	24	order	order	NOUN
cana-6100	369	25	equation	equation	NOUN
cana-6100	369	26	.	.	PUNCT
cana-6100	370	1	applied	apply	VERB
cana-6100	370	2	mathematics	mathematic	NOUN
cana-6100	370	3	and	and	CCONJ
cana-6100	370	4	computation	computation	NOUN
cana-6100	370	5	2008	2008	NUM
cana-6100	370	6	;	;	PUNCT
cana-6100	370	7	199:133–138	199:133–138	NUM
cana-6100	370	8	.	.	PUNCT
cana-6100	371	1	[	[	X
cana-6100	371	2	46	46	NUM
cana-6100	371	3	]	]	X
cana-6100	371	4	jafari	jafari	PROPN
cana-6100	371	5	h	h	NOUN
cana-6100	371	6	,	,	PUNCT
cana-6100	371	7	yazdani	yazdani	PROPN
cana-6100	371	8	a	a	PRON
cana-6100	371	9	,	,	PUNCT
cana-6100	371	10	vahidi	vahidi	PROPN
cana-6100	371	11	j	j	PROPN
cana-6100	371	12	,	,	PUNCT
cana-6100	371	13	ganji	ganji	PROPN
cana-6100	371	14	dd	dd	PROPN
cana-6100	371	15	.	.	PUNCT
cana-6100	371	16	application	application	NOUN
cana-6100	371	17	of	of	ADP
cana-6100	371	18	he	he	PRON
cana-6100	371	19	's	's	PART
cana-6100	371	20	variational	variational	ADJ
cana-6100	371	21	iteration	iteration	NOUN
cana-6100	371	22	method	method	NOUN
cana-6100	371	23	for	for	ADP
cana-6100	371	24	solving	solve	VERB
cana-6100	371	25	seventh	seventh	ADJ
cana-6100	371	26	order	order	NOUN
cana-6100	371	27	sawada	sawada	NOUN
cana-6100	371	28	–	–	PUNCT
cana-6100	371	29	kotera	kotera	PROPN
cana-6100	371	30	equations	equation	NOUN
cana-6100	371	31	.	.	PUNCT
cana-6100	372	1	applied	apply	VERB
cana-6100	372	2	mathematical	mathematical	ADJ
cana-6100	372	3	sciences	science	NOUN
cana-6100	372	4	2008	2008	NUM
cana-6100	372	5	;	;	PUNCT
cana-6100	372	6	2:471–477	2:471–477	PROPN
cana-6100	372	7	.	.	PUNCT
cana-6100	373	1	[	[	X
cana-6100	373	2	47	47	NUM
cana-6100	373	3	]	]	PUNCT
cana-6100	373	4	gotkas	gotkas	NOUN
cana-6100	373	5	u	u	PROPN
cana-6100	373	6	,	,	PUNCT
cana-6100	373	7	hereman	hereman	PROPN
cana-6100	373	8	w.	w.	PROPN
cana-6100	373	9	symbolic	symbolic	PROPN
cana-6100	373	10	computation	computation	NOUN
cana-6100	373	11	of	of	ADP
cana-6100	373	12	conserved	conserved	ADJ
cana-6100	373	13	densities	density	NOUN
cana-6100	373	14	for	for	ADP
cana-6100	373	15	systems	system	NOUN
cana-6100	373	16	of	of	ADP
cana-6100	373	17	nonlinear	nonlinear	ADJ
cana-6100	373	18	evolution	evolution	NOUN
cana-6100	373	19	equations	equation	NOUN
cana-6100	373	20	.	.	PUNCT
cana-6100	374	1	journal	journal	PROPN
cana-6100	374	2	of	of	ADP
cana-6100	374	3	symbolic	symbolic	ADJ
cana-6100	374	4	computation	computation	NOUN
cana-6100	374	5	1999	1999	NUM
cana-6100	374	6	;	;	PUNCT
cana-6100	374	7	1:1–31	1:1–31	NUM
cana-6100	374	8	.	.	PUNCT
