id	sid	tid	token	lemma	pos
cana-6244	1	1	communications	communication	NOUN
cana-6244	1	2	on	on	ADP
cana-6244	1	3	applied	apply	VERB
cana-6244	1	4	nonlinear	nonlinear	ADJ
cana-6244	1	5	analysis	analysis	NOUN
cana-6244	1	6	issn	issn	NOUN
cana-6244	1	7	:	:	PUNCT
cana-6244	1	8	1074	1074	NUM
cana-6244	1	9	-	-	PUNCT
cana-6244	1	10	133x	133x	NUM
cana-6244	1	11	vol	vol	NOUN
cana-6244	1	12	31	31	NUM
cana-6244	1	13	no	no	NOUN
cana-6244	1	14	.	.	PUNCT
cana-6244	2	1	8s	8s	PROPN
cana-6244	2	2	(	(	PUNCT
cana-6244	2	3	2024	2024	NUM
cana-6244	2	4	)	)	PUNCT
cana-6244	2	5	symbolic	symbolic	ADJ
cana-6244	2	6	computational	computational	ADJ
cana-6244	2	7	algorithm	algorithm	NOUN
cana-6244	2	8	for	for	ADP
cana-6244	2	9	hirota	hirota	PROPN
cana-6244	2	10	bilinear	bilinear	NOUN
cana-6244	2	11	form	form	NOUN
cana-6244	2	12	to	to	ADP
cana-6244	2	13	higher	higher	ADV
cana-6244	2	14	-	-	PUNCT
cana-6244	2	15	dimensional	dimensional	ADJ
cana-6244	2	16	nonlinear	nonlinear	ADJ
cana-6244	2	17	partial	partial	ADJ
cana-6244	2	18	differential	differential	NOUN
cana-6244	2	19	equations	equation	NOUN
cana-6244	2	20	in	in	ADP
cana-6244	2	21	nonlinear	nonlinear	PROPN
cana-6244	2	22	sciences	sciences	PROPN
cana-6244	2	23	ankit	ankit	PROPN
cana-6244	2	24	dadhich1	dadhich1	PROPN
cana-6244	2	25	,	,	PUNCT
cana-6244	2	26	hari	hari	PROPN
cana-6244	2	27	pratap2	pratap2	PROPN
cana-6244	2	28	,	,	PUNCT
cana-6244	2	29	brij	brij	PROPN
cana-6244	2	30	mohan3	mohan3	PROPN
cana-6244	2	31	1department	1department	NUM
cana-6244	2	32	of	of	ADP
cana-6244	2	33	mathematics	mathematic	NOUN
cana-6244	2	34	,	,	PUNCT
cana-6244	2	35	central	central	ADJ
cana-6244	2	36	university	university	PROPN
cana-6244	2	37	of	of	ADP
cana-6244	2	38	haryana	haryana	PROPN
cana-6244	2	39	,	,	PUNCT
cana-6244	2	40	haryana-123031	haryana-123031	PROPN
cana-6244	2	41	,	,	PUNCT
cana-6244	2	42	india	india	PROPN
cana-6244	2	43	2*department	2*department	NUM
cana-6244	2	44	of	of	ADP
cana-6244	2	45	mathematics	mathematic	NOUN
cana-6244	2	46	,	,	PUNCT
cana-6244	2	47	pgdav(e	pgdav(e	NOUN
cana-6244	2	48	)	)	PUNCT
cana-6244	2	49	college	college	NOUN
cana-6244	2	50	,	,	PUNCT
cana-6244	2	51	university	university	NOUN
cana-6244	2	52	of	of	ADP
cana-6244	2	53	delhi	delhi	PROPN
cana-6244	2	54	,	,	PUNCT
cana-6244	2	55	delhi	delhi	PROPN
cana-6244	2	56	110065	110065	NUM
cana-6244	2	57	,	,	PUNCT
cana-6244	2	58	india	india	PROPN
cana-6244	2	59	3department	3department	PROPN
cana-6244	2	60	of	of	ADP
cana-6244	2	61	mathematics	mathematic	NOUN
cana-6244	2	62	,	,	PUNCT
cana-6244	2	63	hansraj	hansraj	ADJ
cana-6244	2	64	college	college	PROPN
cana-6244	2	65	,	,	PUNCT
cana-6244	2	66	university	university	NOUN
cana-6244	2	67	of	of	ADP
cana-6244	2	68	delhi	delhi	PROPN
cana-6244	2	69	,	,	PUNCT
cana-6244	2	70	delhi	delhi	PROPN
cana-6244	2	71	-110007	-110007	PROPN
cana-6244	2	72	,	,	PUNCT
cana-6244	2	73	india	india	PROPN
cana-6244	2	74	corresponding	corresponding	PROPN
cana-6244	2	75	author	author	NOUN
cana-6244	2	76	:	:	PUNCT
cana-6244	2	77	pratap.pgdavcollege.hari@gmail.com	pratap.pgdavcollege.hari@gmail.com	PRON
cana-6244	2	78	received	receive	VERB
cana-6244	2	79	:	:	PUNCT
cana-6244	2	80	01	01	NUM
cana-6244	2	81	-	-	SYM
cana-6244	2	82	12	12	NUM
cana-6244	2	83	-	-	PUNCT
cana-6244	2	84	2024	2024	NUM
cana-6244	2	85	revised	revise	VERB
cana-6244	2	86	:	:	PUNCT
cana-6244	2	87	06	06	NUM
cana-6244	2	88	-	-	SYM
cana-6244	2	89	12	12	NUM
cana-6244	2	90	-	-	PUNCT
cana-6244	2	91	2024	2024	NUM
cana-6244	2	92	accepted	accept	VERB
cana-6244	2	93	:	:	PUNCT
cana-6244	2	94	12	12	NUM
cana-6244	2	95	-	-	SYM
cana-6244	2	96	12	12	NUM
cana-6244	2	97	-	-	PUNCT
cana-6244	2	98	2024	2024	NUM
cana-6244	2	99	published	publish	VERB
cana-6244	2	100	:	:	PUNCT
cana-6244	2	101	20	20	NUM
cana-6244	2	102	-	-	SYM
cana-6244	2	103	12	12	NUM
cana-6244	2	104	-	-	PUNCT
cana-6244	2	105	2024	2024	NUM
cana-6244	2	106	abstract	abstract	NOUN
cana-6244	2	107	:	:	PUNCT
cana-6244	2	108	in	in	ADP
cana-6244	2	109	the	the	DET
cana-6244	2	110	physical	physical	ADJ
cana-6244	2	111	world	world	NOUN
cana-6244	2	112	,	,	PUNCT
cana-6244	2	113	many	many	ADJ
cana-6244	2	114	real	real	ADJ
cana-6244	2	115	systems	system	NOUN
cana-6244	2	116	are	be	AUX
cana-6244	2	117	governed	govern	VERB
cana-6244	2	118	by	by	ADP
cana-6244	2	119	nonlinear	nonlinear	ADJ
cana-6244	2	120	partial	partial	ADJ
cana-6244	2	121	differential	differential	NOUN
cana-6244	2	122	equations	equation	NOUN
cana-6244	2	123	from	from	ADP
cana-6244	2	124	fluid	fluid	ADJ
cana-6244	2	125	dynamics	dynamic	NOUN
cana-6244	2	126	and	and	CCONJ
cana-6244	2	127	plasma	plasma	NOUN
cana-6244	2	128	phyasics	phyasic	NOUN
cana-6244	2	129	to	to	ADP
cana-6244	2	130	shallow	shallow	ADJ
cana-6244	2	131	-	-	PUNCT
cana-6244	2	132	water	water	NOUN
cana-6244	2	133	waves	wave	NOUN
cana-6244	2	134	and	and	CCONJ
cana-6244	2	135	oceanographic	oceanographic	ADJ
cana-6244	2	136	systems	system	NOUN
cana-6244	2	137	.	.	PUNCT
cana-6244	3	1	there	there	PRON
cana-6244	3	2	is	be	VERB
cana-6244	3	3	no	no	DET
cana-6244	3	4	uniform	uniform	ADJ
cana-6244	3	5	approach	approach	NOUN
cana-6244	3	6	for	for	ADP
cana-6244	3	7	solving	solve	VERB
cana-6244	3	8	nonlinear	nonlinear	ADJ
cana-6244	3	9	partial	partial	ADJ
cana-6244	3	10	differential	differential	NOUN
cana-6244	3	11	equations	equation	NOUN
cana-6244	3	12	;	;	PUNCT
cana-6244	3	13	consequently	consequently	ADV
cana-6244	3	14	,	,	PUNCT
cana-6244	3	15	we	we	PRON
cana-6244	3	16	consider	consider	VERB
cana-6244	3	17	each	each	DET
cana-6244	3	18	equation	equation	NOUN
cana-6244	3	19	as	as	ADP
cana-6244	3	20	a	a	DET
cana-6244	3	21	separate	separate	ADJ
cana-6244	3	22	problem	problem	NOUN
cana-6244	3	23	.	.	PUNCT
cana-6244	4	1	the	the	DET
cana-6244	4	2	most	most	ADV
cana-6244	4	3	effective	effective	ADJ
cana-6244	4	4	technique	technique	NOUN
cana-6244	4	5	for	for	ADP
cana-6244	4	6	building	build	VERB
cana-6244	4	7	multi	multi	ADJ
cana-6244	4	8	-	-	ADJ
cana-6244	4	9	soliton	soliton	ADJ
cana-6244	4	10	solutions	solution	NOUN
cana-6244	4	11	of	of	ADP
cana-6244	4	12	an	an	DET
cana-6244	4	13	integrable	integrable	ADJ
cana-6244	4	14	nonlinear	nonlinear	ADJ
cana-6244	4	15	pde	pde	NOUN
cana-6244	4	16	is	be	AUX
cana-6244	4	17	the	the	DET
cana-6244	4	18	hirota	hirota	PROPN
cana-6244	4	19	direct	direct	ADJ
cana-6244	4	20	method	method	NOUN
cana-6244	4	21	from	from	ADP
cana-6244	4	22	the	the	DET
cana-6244	4	23	several	several	ADJ
cana-6244	4	24	methods	method	NOUN
cana-6244	4	25	used	use	VERB
cana-6244	4	26	to	to	PART
cana-6244	4	27	explore	explore	VERB
cana-6244	4	28	nonlinear	nonlinear	ADJ
cana-6244	4	29	pdes	pde	NOUN
cana-6244	4	30	to	to	PART
cana-6244	4	31	obtain	obtain	VERB
cana-6244	4	32	solitons	soliton	NOUN
cana-6244	4	33	,	,	PUNCT
cana-6244	4	34	lumps	lump	NOUN
cana-6244	4	35	,	,	PUNCT
cana-6244	4	36	rogue	rogue	NOUN
cana-6244	4	37	waves	wave	NOUN
cana-6244	4	38	,	,	PUNCT
cana-6244	4	39	breathers	breather	NOUN
cana-6244	4	40	,	,	PUNCT
cana-6244	4	41	and	and	CCONJ
cana-6244	4	42	kink	kink	PROPN
cana-6244	4	43	waves	wave	NOUN
cana-6244	4	44	.	.	PUNCT
cana-6244	5	1	to	to	PART
cana-6244	5	2	derive	derive	VERB
cana-6244	5	3	the	the	DET
cana-6244	5	4	multi	multi	NOUN
cana-6244	5	5	-	-	NOUN
cana-6244	5	6	solitons	soliton	NOUN
cana-6244	5	7	of	of	ADP
cana-6244	5	8	the	the	DET
cana-6244	5	9	non	non	ADJ
cana-6244	5	10	-	-	ADJ
cana-6244	5	11	linear	linear	ADJ
cana-6244	5	12	pdes	pde	NOUN
cana-6244	5	13	,	,	PUNCT
cana-6244	5	14	this	this	DET
cana-6244	5	15	method	method	NOUN
cana-6244	5	16	requires	require	VERB
cana-6244	5	17	first	first	ADV
cana-6244	5	18	transforming	transform	VERB
cana-6244	5	19	the	the	DET
cana-6244	5	20	equation	equation	NOUN
cana-6244	5	21	into	into	ADP
cana-6244	5	22	the	the	DET
cana-6244	5	23	bilinear	bilinear	NOUN
cana-6244	5	24	form	form	NOUN
cana-6244	5	25	proposed	propose	VERB
cana-6244	5	26	by	by	ADP
cana-6244	5	27	hirota	hirota	PROPN
cana-6244	5	28	,	,	PUNCT
cana-6244	5	29	and	and	CCONJ
cana-6244	5	30	then	then	ADV
cana-6244	5	31	applying	apply	VERB
cana-6244	5	32	the	the	DET
cana-6244	5	33	dependent	dependent	ADJ
cana-6244	5	34	variable	variable	ADJ
cana-6244	5	35	transformation	transformation	NOUN
cana-6244	5	36	.	.	PUNCT
cana-6244	6	1	converting	convert	VERB
cana-6244	6	2	nonlinear	nonlinear	ADJ
cana-6244	6	3	evolution	evolution	NOUN
cana-6244	6	4	equations	equation	NOUN
cana-6244	6	5	into	into	ADP
cana-6244	6	6	hirota	hirota	PROPN
cana-6244	6	7	bilinear	bilinear	NOUN
cana-6244	6	8	form	form	NOUN
cana-6244	6	9	is	be	AUX
cana-6244	6	10	the	the	DET
cana-6244	6	11	primary	primary	ADJ
cana-6244	6	12	goal	goal	NOUN
cana-6244	6	13	of	of	ADP
cana-6244	6	14	the	the	DET
cana-6244	6	15	research	research	NOUN
cana-6244	6	16	study	study	NOUN
cana-6244	6	17	.	.	PUNCT
cana-6244	7	1	this	this	DET
cana-6244	7	2	work	work	NOUN
cana-6244	7	3	investigated	investigate	VERB
cana-6244	7	4	several	several	ADJ
cana-6244	7	5	well	well	ADV
cana-6244	7	6	-	-	PUNCT
cana-6244	7	7	known	know	VERB
cana-6244	7	8	nonlinear	nonlinear	ADJ
cana-6244	7	9	pdes	pde	NOUN
cana-6244	7	10	,	,	PUNCT
cana-6244	7	11	including	include	VERB
cana-6244	7	12	the	the	DET
cana-6244	7	13	kdv	kdv	NOUN
cana-6244	7	14	equation	equation	NOUN
cana-6244	7	15	,	,	PUNCT
cana-6244	7	16	boussinesq	boussinesq	ADJ
cana-6244	7	17	equation	equation	NOUN
cana-6244	7	18	,	,	PUNCT
cana-6244	7	19	gs	gs	PROPN
cana-6244	7	20	equation	equation	NOUN
cana-6244	7	21	,	,	PUNCT
cana-6244	7	22	kp	kp	PROPN
cana-6244	7	23	equation	equation	NOUN
cana-6244	7	24	,	,	PUNCT
cana-6244	7	25	and	and	CCONJ
cana-6244	7	26	other	other	ADJ
cana-6244	7	27	equations	equation	NOUN
cana-6244	7	28	in	in	ADP
cana-6244	7	29	order	order	NOUN
cana-6244	7	30	to	to	PART
cana-6244	7	31	comprehend	comprehend	VERB
cana-6244	7	32	and	and	CCONJ
cana-6244	7	33	apply	apply	VERB
cana-6244	7	34	the	the	DET
cana-6244	7	35	concept	concept	NOUN
cana-6244	7	36	.	.	PUNCT
cana-6244	8	1	we	we	PRON
cana-6244	8	2	design	design	VERB
cana-6244	8	3	the	the	DET
cana-6244	8	4	algorithm	algorithm	NOUN
cana-6244	8	5	using	use	VERB
cana-6244	8	6	symbolic	symbolic	ADJ
cana-6244	8	7	software	software	PROPN
cana-6244	8	8	mathematica	mathematica	PROPN
cana-6244	8	9	.	.	PUNCT
cana-6244	9	1	these	these	DET
cana-6244	9	2	equations	equation	NOUN
cana-6244	9	3	are	be	AUX
cana-6244	9	4	widely	widely	ADV
cana-6244	9	5	recognized	recognize	VERB
cana-6244	9	6	for	for	ADP
cana-6244	9	7	multi	multi	NOUN
cana-6244	9	8	-	-	NOUN
cana-6244	9	9	solitons	soliton	NOUN
cana-6244	9	10	and	and	CCONJ
cana-6244	9	11	their	their	PRON
cana-6244	9	12	integrability	integrability	NOUN
cana-6244	9	13	,	,	PUNCT
cana-6244	9	14	which	which	PRON
cana-6244	9	15	having	have	VERB
cana-6244	9	16	applications	application	NOUN
cana-6244	9	17	in	in	ADP
cana-6244	9	18	diverse	diverse	ADJ
cana-6244	9	19	fileds	filed	NOUN
cana-6244	9	20	oceanography	oceanography	NOUN
cana-6244	9	21	,	,	PUNCT
cana-6244	9	22	fluid	fluid	ADJ
cana-6244	9	23	dynamics	dynamic	NOUN
cana-6244	9	24	,	,	PUNCT
cana-6244	9	25	plasma	plasma	NOUN
cana-6244	9	26	physics	physics	NOUN
cana-6244	9	27	,	,	PUNCT
cana-6244	9	28	mechanics	mechanic	NOUN
cana-6244	9	29	,	,	PUNCT
cana-6244	9	30	and	and	CCONJ
cana-6244	9	31	other	other	ADJ
cana-6244	9	32	nonlinear	nonlinear	ADJ
cana-6244	9	33	sciences	sciences	PROPN
cana-6244	9	34	.	.	PUNCT
cana-6244	10	1	keyword	keyword	NOUN
cana-6244	10	2	:	:	PUNCT
cana-6244	10	3	symbolic	symbolic	ADJ
cana-6244	10	4	computation	computation	NOUN
cana-6244	10	5	,	,	PUNCT
cana-6244	10	6	bilinear	bilinear	NOUN
cana-6244	10	7	form	form	NOUN
cana-6244	10	8	,	,	PUNCT
cana-6244	10	9	nonlinear	nonlinear	ADJ
cana-6244	10	10	pde	pde	NOUN
cana-6244	10	11	,	,	PUNCT
cana-6244	10	12	symbolic	symbolic	ADJ
cana-6244	10	13	algorithm	algorithm	NOUN
cana-6244	10	14	ams	am	NOUN
cana-6244	10	15	subject	subject	ADJ
cana-6244	10	16	classification	classification	NOUN
cana-6244	10	17	:	:	PUNCT
cana-6244	10	18	35g20	35g20	NUM
cana-6244	10	19	,	,	PUNCT
cana-6244	10	20	47a07	47a07	NUM
cana-6244	10	21	,	,	PUNCT
cana-6244	10	22	68w30	68w30	NUM
cana-6244	10	23	,	,	PUNCT
cana-6244	10	24	1	1	NUM
cana-6244	10	25	introduction	introduction	NOUN
cana-6244	10	26	in	in	ADP
cana-6244	10	27	mathematics	mathematic	NOUN
cana-6244	10	28	and	and	CCONJ
cana-6244	10	29	science	science	NOUN
cana-6244	10	30	,	,	PUNCT
cana-6244	10	31	a	a	DET
cana-6244	10	32	partial	partial	ADJ
cana-6244	10	33	differential	differential	NOUN
cana-6244	10	34	equation	equation	NOUN
cana-6244	10	35	that	that	PRON
cana-6244	10	36	has	have	VERB
cana-6244	10	37	nonlinear	nonlinear	ADJ
cana-6244	10	38	components	component	NOUN
cana-6244	10	39	is	be	AUX
cana-6244	10	40	called	call	VERB
cana-6244	10	41	a	a	DET
cana-6244	10	42	nonlinear	nonlinear	ADJ
cana-6244	10	43	evolution	evolution	NOUN
cana-6244	10	44	equation	equation	NOUN
cana-6244	10	45	or	or	CCONJ
cana-6244	10	46	partial	partial	ADJ
cana-6244	10	47	differential	differential	NOUN
cana-6244	10	48	equation	equation	NOUN
cana-6244	10	49	(	(	PUNCT
cana-6244	10	50	pde	pde	NOUN
cana-6244	10	51	)	)	PUNCT
cana-6244	10	52	.	.	PUNCT
cana-6244	11	1	they	they	PRON
cana-6244	11	2	describe	describe	VERB
cana-6244	11	3	distinct	distinct	ADJ
cana-6244	11	4	physical	physical	ADJ
cana-6244	11	5	systems	system	NOUN
cana-6244	11	6	from	from	ADP
cana-6244	11	7	water	water	NOUN
cana-6244	11	8	dynamics	dynamic	NOUN
cana-6244	11	9	to	to	ADP
cana-6244	11	10	gravity	gravity	NOUN
cana-6244	11	11	,	,	PUNCT
cana-6244	11	12	and	and	CCONJ
cana-6244	11	13	have	have	AUX
cana-6244	11	14	been	be	AUX
cana-6244	11	15	used	use	VERB
cana-6244	11	16	in	in	ADP
cana-6244	11	17	mathematics	mathematic	NOUN
cana-6244	11	18	to	to	PART
cana-6244	11	19	solve	solve	VERB
cana-6244	11	20	important	important	ADJ
cana-6244	11	21	problems	problem	NOUN
cana-6244	11	22	such	such	ADJ
cana-6244	11	23	as	as	ADP
cana-6244	11	24	the	the	DET
cana-6244	11	25	poincaré	poincaré	ADJ
cana-6244	11	26	and	and	CCONJ
cana-6244	11	27	calabi	calabi	NOUN
cana-6244	11	28	conjectures	conjecture	VERB
cana-6244	11	29	.	.	PUNCT
cana-6244	12	1	they	they	PRON
cana-6244	12	2	are	be	AUX
cana-6244	12	3	challenging	challenge	VERB
cana-6244	12	4	to	to	PART
cana-6244	12	5	analyze	analyze	VERB
cana-6244	12	6	since	since	SCONJ
cana-6244	12	7	there	there	PRON
cana-6244	12	8	are	be	VERB
cana-6244	12	9	n’t	not	PART
cana-6244	12	10	many	many	ADJ
cana-6244	12	11	general	general	ADJ
cana-6244	12	12	techniques	technique	NOUN
cana-6244	12	13	that	that	PRON
cana-6244	12	14	work	work	VERB
cana-6244	12	15	for	for	ADP
cana-6244	12	16	all	all	PRON
cana-6244	12	17	of	of	ADP
cana-6244	12	18	these	these	DET
cana-6244	12	19	equations	equation	NOUN
cana-6244	12	20	,	,	PUNCT
cana-6244	12	21	and	and	CCONJ
cana-6244	12	22	usually	usually	ADV
cana-6244	12	23	,	,	PUNCT
cana-6244	12	24	each	each	DET
cana-6244	12	25	one	one	NOUN
cana-6244	12	26	needs	need	VERB
cana-6244	12	27	to	to	PART
cana-6244	12	28	be	be	AUX
cana-6244	12	29	looked	look	VERB
cana-6244	12	30	at	at	ADP
cana-6244	12	31	separately	separately	ADV
cana-6244	12	32	.	.	PUNCT
cana-6244	13	1	the	the	DET
cana-6244	13	2	hirota	hirota	PROPN
cana-6244	13	3	method	method	NOUN
cana-6244	13	4	,	,	PUNCT
cana-6244	13	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	13	6	1212	1212	NUM
cana-6244	13	7	communications	communication	NOUN
cana-6244	13	8	on	on	ADP
cana-6244	13	9	applied	apply	VERB
cana-6244	13	10	nonlinear	nonlinear	ADJ
cana-6244	13	11	analysis	analysis	NOUN
cana-6244	13	12	issn	issn	NOUN
cana-6244	13	13	:	:	PUNCT
cana-6244	13	14	1074	1074	NUM
cana-6244	13	15	-	-	PUNCT
cana-6244	13	16	133x	133x	NUM
cana-6244	13	17	vol	vol	NOUN
cana-6244	13	18	31	31	NUM
cana-6244	13	19	no	no	NOUN
cana-6244	13	20	.	.	PUNCT
cana-6244	14	1	8s	8s	PROPN
cana-6244	14	2	(	(	PUNCT
cana-6244	14	3	2024	2024	NUM
cana-6244	14	4	)	)	PUNCT
cana-6244	14	5	which	which	PRON
cana-6244	14	6	ryogo	ryogo	VERB
cana-6244	14	7	hirota	hirota	PROPN
cana-6244	14	8	introduced	introduce	VERB
cana-6244	14	9	in	in	ADP
cana-6244	14	10	1971	1971	NUM
cana-6244	14	11	[	[	X
cana-6244	14	12	1–5	1–5	X
cana-6244	14	13	]	]	X
cana-6244	14	14	,	,	PUNCT
cana-6244	14	15	is	be	AUX
cana-6244	14	16	a	a	DET
cana-6244	14	17	popular	popular	ADJ
cana-6244	14	18	and	and	CCONJ
cana-6244	14	19	powerful	powerful	ADJ
cana-6244	14	20	mathematical	mathematical	ADJ
cana-6244	14	21	tool	tool	NOUN
cana-6244	14	22	for	for	ADP
cana-6244	14	23	identifying	identify	VERB
cana-6244	14	24	soliton	soliton	NOUN
cana-6244	14	25	solutions	solution	NOUN
cana-6244	14	26	after	after	ADP
cana-6244	14	27	changing	change	VERB
cana-6244	14	28	the	the	DET
cana-6244	14	29	pde	pde	NOUN
cana-6244	14	30	to	to	ADP
cana-6244	14	31	bilinear	bilinear	NOUN
cana-6244	14	32	form	form	NOUN
cana-6244	14	33	.	.	PUNCT
cana-6244	15	1	in	in	ADP
cana-6244	15	2	several	several	ADJ
cana-6244	15	3	disciplines	discipline	NOUN
cana-6244	15	4	,	,	PUNCT
cana-6244	15	5	such	such	ADJ
cana-6244	15	6	as	as	ADP
cana-6244	15	7	oceanography	oceanography	NOUN
cana-6244	15	8	,	,	PUNCT
cana-6244	15	9	fluid	fluid	ADJ
cana-6244	15	10	dynamics	dynamic	NOUN
cana-6244	15	11	,	,	PUNCT
cana-6244	15	12	optics	optic	NOUN
cana-6244	15	13	,	,	PUNCT
cana-6244	15	14	plasma	plasma	NOUN
cana-6244	15	15	physics	physics	NOUN
cana-6244	15	16	,	,	PUNCT
cana-6244	15	17	and	and	CCONJ
cana-6244	15	18	engineering	engineering	NOUN
cana-6244	15	19	sciences	science	NOUN
cana-6244	15	20	,	,	PUNCT
cana-6244	15	21	soliton	soliton	NOUN
cana-6244	15	22	is	be	AUX
cana-6244	15	23	a	a	DET
cana-6244	15	24	highly	highly	ADV
cana-6244	15	25	regular	regular	ADJ
cana-6244	15	26	solution	solution	NOUN
cana-6244	15	27	that	that	PRON
cana-6244	15	28	has	have	VERB
cana-6244	15	29	wave	wave	NOUN
cana-6244	15	30	-	-	PUNCT
cana-6244	15	31	like	like	ADJ
cana-6244	15	32	properties	property	NOUN
cana-6244	15	33	.	.	PUNCT
cana-6244	16	1	therefore	therefore	ADV
cana-6244	16	2	bilinearization	bilinearization	NOUN
cana-6244	16	3	of	of	ADP
cana-6244	16	4	nonlinear	nonlinear	ADJ
cana-6244	16	5	pdes	pde	NOUN
cana-6244	16	6	is	be	AUX
cana-6244	16	7	the	the	DET
cana-6244	16	8	most	most	ADV
cana-6244	16	9	necessary	necessary	ADJ
cana-6244	16	10	step	step	NOUN
cana-6244	16	11	.	.	PUNCT
cana-6244	17	1	in	in	ADP
cana-6244	17	2	physics	physics	NOUN
cana-6244	17	3	and	and	CCONJ
cana-6244	17	4	mathematics	mathematic	NOUN
cana-6244	17	5	,	,	PUNCT
cana-6244	17	6	a	a	DET
cana-6244	17	7	soliton	soliton	NOUN
cana-6244	17	8	is	be	AUX
cana-6244	17	9	a	a	DET
cana-6244	17	10	confined	confine	VERB
cana-6244	17	11	wave	wave	NOUN
cana-6244	17	12	packet	packet	NOUN
cana-6244	17	13	that	that	PRON
cana-6244	17	14	is	be	AUX
cana-6244	17	15	extremely	extremely	ADV
cana-6244	17	16	stable	stable	ADJ
cana-6244	17	17	,	,	PUNCT
cana-6244	17	18	nonlinear	nonlinear	ADJ
cana-6244	17	19	,	,	PUNCT
cana-6244	17	20	and	and	CCONJ
cana-6244	17	21	self	self	NOUN
cana-6244	17	22	-	-	PUNCT
cana-6244	17	23	reinforcing	reinforce	VERB
cana-6244	17	24	.	.	PUNCT
cana-6244	18	1	after	after	ADP
cana-6244	18	2	colliding	collide	VERB
cana-6244	18	3	with	with	ADP
cana-6244	18	4	other	other	ADJ
cana-6244	18	5	localized	localize	VERB
cana-6244	18	6	wave	wave	NOUN
cana-6244	18	7	packets	packet	NOUN
cana-6244	18	8	,	,	PUNCT
cana-6244	18	9	it	it	PRON
cana-6244	18	10	maintains	maintain	VERB
cana-6244	18	11	its	its	PRON
cana-6244	18	12	form	form	NOUN
cana-6244	18	13	even	even	ADV
cana-6244	18	14	when	when	SCONJ
cana-6244	18	15	moving	move	VERB
cana-6244	18	16	freely	freely	ADV
cana-6244	18	17	at	at	ADP
cana-6244	18	18	a	a	DET
cana-6244	18	19	constant	constant	ADJ
cana-6244	18	20	speed	speed	NOUN
cana-6244	18	21	.	.	PUNCT
cana-6244	19	1	its	its	PRON
cana-6244	19	2	exceptional	exceptional	ADJ
cana-6244	19	3	stability	stability	NOUN
cana-6244	19	4	results	result	VERB
cana-6244	19	5	from	from	ADP
cana-6244	19	6	the	the	DET
cana-6244	19	7	medium	medium	NOUN
cana-6244	19	8	’s	’s	NOUN
cana-6244	19	9	dispersive	dispersive	ADJ
cana-6244	19	10	and	and	CCONJ
cana-6244	19	11	nonlinear	nonlinear	ADJ
cana-6244	19	12	effects	effect	NOUN
cana-6244	19	13	being	be	AUX
cana-6244	19	14	balancedly	balancedly	ADV
cana-6244	19	15	cancelled	cancel	VERB
cana-6244	19	16	.	.	PUNCT
cana-6244	20	1	weakly	weakly	ADJ
cana-6244	20	2	nonlinear	nonlinear	ADJ
cana-6244	20	3	dispersive	dispersive	ADJ
cana-6244	20	4	pdes	pde	NOUN
cana-6244	20	5	have	have	VERB
cana-6244	20	6	wide	wide	ADJ
cana-6244	20	7	group	group	NOUN
cana-6244	20	8	to	to	PART
cana-6244	20	9	describe	describe	VERB
cana-6244	20	10	nonlinear	nonlinear	ADJ
cana-6244	20	11	systems	system	NOUN
cana-6244	20	12	was	be	AUX
cana-6244	20	13	eventually	eventually	ADV
cana-6244	20	14	demonstrated	demonstrate	VERB
cana-6244	20	15	to	to	PART
cana-6244	20	16	have	have	VERB
cana-6244	20	17	stable	stable	ADJ
cana-6244	20	18	solutions	solution	NOUN
cana-6244	20	19	in	in	ADP
cana-6244	20	20	soliton	soliton	NOUN
cana-6244	20	21	theory	theory	NOUN
cana-6244	20	22	[	[	X
cana-6244	20	23	6	6	NUM
cana-6244	20	24	]	]	PUNCT
cana-6244	20	25	.	.	PUNCT
cana-6244	21	1	for	for	ADP
cana-6244	21	2	integrable	integrable	ADJ
cana-6244	21	3	non	non	ADJ
cana-6244	21	4	-	-	ADJ
cana-6244	21	5	linear	linear	ADJ
cana-6244	21	6	pdes	pde	NOUN
cana-6244	21	7	,	,	PUNCT
cana-6244	21	8	precise	precise	ADJ
cana-6244	21	9	n	n	CCONJ
cana-6244	21	10	-	-	PUNCT
cana-6244	21	11	soliton	soliton	NOUN
cana-6244	21	12	or	or	CCONJ
cana-6244	21	13	multisoliton	multisoliton	NOUN
cana-6244	21	14	solutions	solution	NOUN
cana-6244	21	15	may	may	AUX
cana-6244	21	16	be	be	AUX
cana-6244	21	17	found	find	VERB
cana-6244	21	18	using	use	VERB
cana-6244	21	19	hirota	hirota	PROPN
cana-6244	21	20	’s	’s	PART
cana-6244	21	21	bilinear	bilinear	PROPN
cana-6244	21	22	approach	approach	NOUN
cana-6244	21	23	.	.	PUNCT
cana-6244	22	1	however	however	ADV
cana-6244	22	2	,	,	PUNCT
cana-6244	22	3	hirota	hirota	PROPN
cana-6244	22	4	asserts	assert	VERB
cana-6244	22	5	that	that	SCONJ
cana-6244	22	6	converting	convert	VERB
cana-6244	22	7	a	a	DET
cana-6244	22	8	non	non	ADJ
cana-6244	22	9	-	-	ADJ
cana-6244	22	10	linear	linear	ADJ
cana-6244	22	11	pde	pde	NOUN
cana-6244	22	12	into	into	ADP
cana-6244	22	13	its	its	PRON
cana-6244	22	14	bilinear	bilinear	NOUN
cana-6244	22	15	form	form	NOUN
cana-6244	22	16	is	be	AUX
cana-6244	22	17	the	the	DET
cana-6244	22	18	most	most	ADV
cana-6244	22	19	crucial	crucial	ADJ
cana-6244	22	20	step	step	NOUN
cana-6244	22	21	in	in	ADP
cana-6244	22	22	this	this	DET
cana-6244	22	23	process	process	NOUN
cana-6244	22	24	.	.	PUNCT
cana-6244	23	1	even	even	ADV
cana-6244	23	2	when	when	SCONJ
cana-6244	23	3	the	the	DET
cana-6244	23	4	correct	correct	ADJ
cana-6244	23	5	transformation	transformation	NOUN
cana-6244	23	6	of	of	ADP
cana-6244	23	7	the	the	DET
cana-6244	23	8	dependant	dependant	ADJ
cana-6244	23	9	variable	variable	NOUN
cana-6244	23	10	is	be	AUX
cana-6244	23	11	known	know	VERB
cana-6244	23	12	,	,	PUNCT
cana-6244	23	13	the	the	DET
cana-6244	23	14	process	process	NOUN
cana-6244	23	15	of	of	ADP
cana-6244	23	16	converting	convert	VERB
cana-6244	23	17	a	a	DET
cana-6244	23	18	nonlinear	nonlinear	ADJ
cana-6244	23	19	evolution	evolution	NOUN
cana-6244	23	20	equation	equation	NOUN
cana-6244	23	21	into	into	ADP
cana-6244	23	22	a	a	DET
cana-6244	23	23	bilinear	bilinear	NOUN
cana-6244	23	24	equation	equation	NOUN
cana-6244	23	25	becomes	become	VERB
cana-6244	23	26	time	time	NOUN
cana-6244	23	27	-	-	PUNCT
cana-6244	23	28	consuming	consume	VERB
cana-6244	23	29	.	.	PUNCT
cana-6244	24	1	as	as	ADP
cana-6244	24	2	a	a	DET
cana-6244	24	3	result	result	NOUN
cana-6244	24	4	,	,	PUNCT
cana-6244	24	5	creating	create	VERB
cana-6244	24	6	a	a	DET
cana-6244	24	7	method	method	NOUN
cana-6244	24	8	to	to	PART
cana-6244	24	9	determine	determine	VERB
cana-6244	24	10	a	a	DET
cana-6244	24	11	nonlinear	nonlinear	ADJ
cana-6244	24	12	pde	pde	NOUN
cana-6244	24	13	’s	’s	PART
cana-6244	24	14	bilinear	bilinear	NOUN
cana-6244	24	15	form	form	NOUN
cana-6244	24	16	is	be	AUX
cana-6244	24	17	crucial	crucial	ADJ
cana-6244	24	18	.	.	PUNCT
cana-6244	25	1	to	to	PART
cana-6244	25	2	do	do	AUX
cana-6244	25	3	these	these	DET
cana-6244	25	4	calculations	calculation	NOUN
cana-6244	25	5	,	,	PUNCT
cana-6244	25	6	system	system	NOUN
cana-6244	25	7	software	software	NOUN
cana-6244	25	8	like	like	ADP
cana-6244	25	9	maple	maple	PROPN
cana-6244	25	10	matlab	matlab	PROPN
cana-6244	25	11	,	,	PUNCT
cana-6244	25	12	and	and	CCONJ
cana-6244	25	13	mathematica	mathematica	PROPN
cana-6244	25	14	,	,	PUNCT
cana-6244	25	15	are	be	AUX
cana-6244	25	16	useful	useful	ADJ
cana-6244	25	17	.	.	PUNCT
cana-6244	26	1	hirota	hirota	PROPN
cana-6244	26	2	first	first	ADV
cana-6244	26	3	applied	apply	VERB
cana-6244	26	4	this	this	DET
cana-6244	26	5	method	method	NOUN
cana-6244	26	6	to	to	ADP
cana-6244	26	7	the	the	DET
cana-6244	26	8	kdv	kdv	NOUN
cana-6244	26	9	equation	equation	NOUN
cana-6244	26	10	χt	χt	ADP
cana-6244	26	11	+	+	CCONJ
cana-6244	26	12	6χχx	6χχx	PROPN
cana-6244	26	13	+	+	CCONJ
cana-6244	26	14	χxxx	χxxx	ADJ
cana-6244	26	15	=	=	SYM
cana-6244	26	16	0	0	NUM
cana-6244	26	17	,	,	PUNCT
cana-6244	26	18	converting	convert	VERB
cana-6244	26	19	it	it	PRON
cana-6244	26	20	into	into	ADP
cana-6244	26	21	the	the	DET
cana-6244	26	22	bilinear	bilinear	NOUN
cana-6244	26	23	form	form	NOUN
cana-6244	26	24	(	(	PUNCT
cana-6244	26	25	d4	d4	PROPN
cana-6244	26	26	x	x	PUNCT
cana-6244	27	1	+	+	ADJ
cana-6244	27	2	dxdt)h	dxdt)h	ADJ
cana-6244	27	3	·	·	PUNCT
cana-6244	27	4	h	h	NOUN
cana-6244	27	5	=	=	SYM
cana-6244	27	6	0	0	NUM
cana-6244	27	7	,	,	PUNCT
cana-6244	27	8	by	by	ADP
cana-6244	27	9	using	use	VERB
cana-6244	27	10	the	the	DET
cana-6244	27	11	transformation	transformation	NOUN
cana-6244	27	12	χ	χ	NOUN
cana-6244	27	13	=	=	SYM
cana-6244	27	14	2(lnh)xx	2(lnh)xx	NUM
cana-6244	27	15	,	,	PUNCT
cana-6244	27	16	which	which	PRON
cana-6244	27	17	resulted	result	VERB
cana-6244	27	18	in	in	ADP
cana-6244	27	19	a	a	DET
cana-6244	27	20	simple	simple	ADJ
cana-6244	27	21	soliton	soliton	NOUN
cana-6244	27	22	solution	solution	NOUN
cana-6244	27	23	development	development	NOUN
cana-6244	27	24	[	[	X
cana-6244	27	25	3	3	NUM
cana-6244	27	26	]	]	PUNCT
cana-6244	27	27	.	.	PUNCT
cana-6244	28	1	many	many	ADJ
cana-6244	28	2	scholars	scholar	NOUN
cana-6244	28	3	have	have	AUX
cana-6244	28	4	been	be	AUX
cana-6244	28	5	interested	interested	ADJ
cana-6244	28	6	in	in	ADP
cana-6244	28	7	the	the	DET
cana-6244	28	8	nonlinearity	nonlinearity	NOUN
cana-6244	28	9	of	of	ADP
cana-6244	28	10	pdes	pde	NOUN
cana-6244	28	11	and	and	CCONJ
cana-6244	28	12	have	have	AUX
cana-6244	28	13	used	use	VERB
cana-6244	28	14	a	a	DET
cana-6244	28	15	number	number	NOUN
cana-6244	28	16	of	of	ADP
cana-6244	28	17	systematic	systematic	ADJ
cana-6244	28	18	techniques	technique	NOUN
cana-6244	28	19	to	to	PART
cana-6244	28	20	obtain	obtain	VERB
cana-6244	28	21	multiple	multiple	ADJ
cana-6244	28	22	lump	lump	NOUN
cana-6244	28	23	,	,	PUNCT
cana-6244	28	24	breather	breather	NOUN
cana-6244	28	25	,	,	PUNCT
cana-6244	28	26	and	and	CCONJ
cana-6244	28	27	soliton	soliton	NOUN
cana-6244	28	28	solutions	solution	NOUN
cana-6244	28	29	.	.	PUNCT
cana-6244	29	1	there	there	PRON
cana-6244	29	2	are	be	VERB
cana-6244	29	3	several	several	ADJ
cana-6244	29	4	different	different	ADJ
cana-6244	29	5	methods	method	NOUN
cana-6244	29	6	that	that	PRON
cana-6244	29	7	are	be	AUX
cana-6244	29	8	to	to	PART
cana-6244	29	9	be	be	AUX
cana-6244	29	10	used	use	VERB
cana-6244	29	11	such	such	ADJ
cana-6244	29	12	as	as	ADP
cana-6244	29	13	bäcklund	bäcklund	NOUN
cana-6244	29	14	transformation	transformation	NOUN
cana-6244	29	15	[	[	X
cana-6244	29	16	7,8	7,8	NUM
cana-6244	29	17	]	]	PUNCT
cana-6244	29	18	,	,	PUNCT
cana-6244	29	19	darboux	darboux	VERB
cana-6244	29	20	transformation	transformation	NOUN
cana-6244	29	21	[	[	X
cana-6244	29	22	9–12	9–12	NOUN
cana-6244	29	23	]	]	PUNCT
cana-6244	29	24	,	,	PUNCT
cana-6244	29	25	lie	lie	NOUN
cana-6244	29	26	symmetry	symmetry	NOUN
cana-6244	29	27	analysis	analysis	NOUN
cana-6244	29	28	[	[	X
cana-6244	29	29	13,14	13,14	X
cana-6244	29	30	]	]	PUNCT
cana-6244	29	31	,	,	PUNCT
cana-6244	29	32	simplified	simplify	VERB
cana-6244	29	33	hirota	hirota	NOUN
cana-6244	29	34	method	method	NOUN
cana-6244	29	35	[	[	X
cana-6244	29	36	15,16	15,16	NUM
cana-6244	29	37	]	]	PUNCT
cana-6244	29	38	,	,	PUNCT
cana-6244	29	39	pfaffian	pfaffian	ADJ
cana-6244	29	40	technique	technique	NOUN
cana-6244	29	41	[	[	X
cana-6244	29	42	17,18	17,18	X
cana-6244	29	43	]	]	X
cana-6244	29	44	,	,	PUNCT
cana-6244	29	45	and	and	CCONJ
cana-6244	29	46	other	other	ADJ
cana-6244	29	47	methods	method	NOUN
cana-6244	29	48	.	.	PUNCT
cana-6244	30	1	in	in	ADP
cana-6244	30	2	this	this	DET
cana-6244	30	3	work	work	NOUN
cana-6244	30	4	,	,	PUNCT
cana-6244	30	5	we	we	PRON
cana-6244	30	6	investigate	investigate	VERB
cana-6244	30	7	how	how	SCONJ
cana-6244	30	8	several	several	ADJ
cana-6244	30	9	nonlinear	nonlinear	ADJ
cana-6244	30	10	pdes	pde	NOUN
cana-6244	30	11	,	,	PUNCT
cana-6244	30	12	including	include	VERB
cana-6244	30	13	the	the	DET
cana-6244	30	14	korteweg	korteweg	NOUN
cana-6244	30	15	-	-	PUNCT
cana-6244	30	16	de	de	PROPN
cana-6244	30	17	vries	vries	PROPN
cana-6244	30	18	(	(	PUNCT
cana-6244	30	19	kdv	kdv	PROPN
cana-6244	30	20	)	)	PUNCT
cana-6244	31	1	[	[	X
cana-6244	31	2	4	4	NUM
cana-6244	31	3	]	]	PUNCT
cana-6244	31	4	,	,	PUNCT
cana-6244	31	5	kadomtsev	kadomtsev	ADJ
cana-6244	31	6	–	–	PUNCT
cana-6244	31	7	petviashvili	petviashvili	NOUN
cana-6244	31	8	(	(	PUNCT
cana-6244	31	9	kp	kp	NOUN
cana-6244	31	10	)	)	PUNCT
cana-6244	31	11	equations	equation	NOUN
cana-6244	32	1	[	[	X
cana-6244	32	2	5	5	NUM
cana-6244	32	3	]	]	PUNCT
cana-6244	32	4	,	,	PUNCT
cana-6244	32	5	and	and	CCONJ
cana-6244	32	6	other	other	ADJ
cana-6244	32	7	equations	equation	NOUN
cana-6244	32	8	that	that	PRON
cana-6244	32	9	are	be	AUX
cana-6244	32	10	transformed	transform	VERB
cana-6244	32	11	into	into	ADP
cana-6244	32	12	hirota	hirota	PROPN
cana-6244	32	13	bilinear	bilinear	NOUN
cana-6244	32	14	form	form	NOUN
cana-6244	32	15	.	.	PUNCT
cana-6244	33	1	the	the	DET
cana-6244	33	2	most	most	ADV
cana-6244	33	3	effective	effective	ADJ
cana-6244	33	4	technique	technique	NOUN
cana-6244	33	5	for	for	ADP
cana-6244	33	6	building	build	VERB
cana-6244	33	7	multi	multi	ADJ
cana-6244	33	8	-	-	ADJ
cana-6244	33	9	soliton	soliton	ADJ
cana-6244	33	10	solutions	solution	NOUN
cana-6244	33	11	of	of	ADP
cana-6244	33	12	an	an	DET
cana-6244	33	13	integrable	integrable	ADJ
cana-6244	33	14	nonlinear	nonlinear	ADJ
cana-6244	33	15	pde	pde	NOUN
cana-6244	33	16	is	be	AUX
cana-6244	33	17	the	the	DET
cana-6244	33	18	hirota	hirota	PROPN
cana-6244	33	19	direct	direct	ADJ
cana-6244	33	20	approach	approach	NOUN
cana-6244	33	21	.	.	PUNCT
cana-6244	34	1	solitons	soliton	NOUN
cana-6244	34	2	are	be	AUX
cana-6244	34	3	crucial	crucial	ADJ
cana-6244	34	4	to	to	ADP
cana-6244	34	5	the	the	DET
cana-6244	34	6	analysis	analysis	NOUN
cana-6244	34	7	of	of	ADP
cana-6244	34	8	shallow	shallow	ADJ
cana-6244	34	9	water	water	NOUN
cana-6244	34	10	waves	wave	NOUN
cana-6244	34	11	because	because	SCONJ
cana-6244	34	12	they	they	PRON
cana-6244	34	13	are	be	AUX
cana-6244	34	14	created	create	VERB
cana-6244	34	15	when	when	SCONJ
cana-6244	34	16	the	the	DET
cana-6244	34	17	nonlinearity	nonlinearity	NOUN
cana-6244	34	18	and	and	CCONJ
cana-6244	34	19	dispersion	dispersion	NOUN
cana-6244	34	20	effect	effect	NOUN
cana-6244	34	21	are	be	AUX
cana-6244	34	22	ignored	ignore	VERB
cana-6244	34	23	.	.	PUNCT
cana-6244	35	1	moreover	moreover	ADV
cana-6244	35	2	,	,	PUNCT
cana-6244	35	3	they	they	PRON
cana-6244	35	4	are	be	AUX
cana-6244	35	5	found	find	VERB
cana-6244	35	6	in	in	ADP
cana-6244	35	7	a	a	DET
cana-6244	35	8	number	number	NOUN
cana-6244	35	9	of	of	ADP
cana-6244	35	10	disciplines	discipline	NOUN
cana-6244	35	11	,	,	PUNCT
cana-6244	35	12	including	include	VERB
cana-6244	35	13	fluid	fluid	ADJ
cana-6244	35	14	dynamics	dynamic	NOUN
cana-6244	35	15	,	,	PUNCT
cana-6244	35	16	dusty	dusty	ADJ
cana-6244	35	17	plasma	plasma	NOUN
cana-6244	35	18	,	,	PUNCT
cana-6244	35	19	oceanography	oceanography	NOUN
cana-6244	35	20	,	,	PUNCT
cana-6244	35	21	marine	marine	ADJ
cana-6244	35	22	engineering	engineering	NOUN
cana-6244	35	23	,	,	PUNCT
cana-6244	35	24	and	and	CCONJ
cana-6244	35	25	plasma	plasma	NOUN
cana-6244	35	26	physics	physics	NOUN
cana-6244	35	27	.	.	PUNCT
cana-6244	36	1	the	the	DET
cana-6244	36	2	following	follow	VERB
cana-6244	36	3	section	section	NOUN
cana-6244	36	4	2	2	NUM
cana-6244	36	5	explores	explore	VERB
cana-6244	36	6	the	the	DET
cana-6244	36	7	general	general	ADJ
cana-6244	36	8	structure	structure	NOUN
cana-6244	36	9	of	of	ADP
cana-6244	36	10	the	the	DET
cana-6244	36	11	bilinear	bilinear	NOUN
cana-6244	36	12	form	form	NOUN
cana-6244	36	13	in	in	ADP
cana-6244	36	14	d	d	NOUN
cana-6244	36	15	-	-	NOUN
cana-6244	36	16	operator	operator	NOUN
cana-6244	36	17	for	for	ADP
cana-6244	36	18	a	a	DET
cana-6244	36	19	general	general	ADJ
cana-6244	36	20	nonlinear	nonlinear	ADJ
cana-6244	36	21	pde	pde	NOUN
cana-6244	36	22	.	.	PUNCT
cana-6244	37	1	it	it	PRON
cana-6244	37	2	describe	describe	VERB
cana-6244	37	3	the	the	DET
cana-6244	37	4	cole	cole	NOUN
cana-6244	37	5	-	-	PUNCT
cana-6244	37	6	hopf	hopf	ADJ
cana-6244	37	7	transformation	transformation	NOUN
cana-6244	37	8	,	,	PUNCT
cana-6244	37	9	hirota	hirota	PROPN
cana-6244	37	10	’s	’s	PART
cana-6244	37	11	d	d	NOUN
cana-6244	37	12	-	-	NOUN
cana-6244	37	13	operator	operator	NOUN
cana-6244	37	14	and	and	CCONJ
cana-6244	37	15	algorithm	algorithm	NOUN
cana-6244	37	16	for	for	ADP
cana-6244	37	17	bilinear	bilinear	NOUN
cana-6244	37	18	form	form	NOUN
cana-6244	37	19	.	.	PUNCT
cana-6244	38	1	in	in	ADP
cana-6244	38	2	section	section	NOUN
cana-6244	38	3	3	3	NUM
cana-6244	38	4	,	,	PUNCT
cana-6244	38	5	we	we	PRON
cana-6244	38	6	show	show	VERB
cana-6244	38	7	the	the	DET
cana-6244	38	8	application	application	NOUN
cana-6244	38	9	of	of	ADP
cana-6244	38	10	algorithm	algorithm	NOUN
cana-6244	38	11	to	to	ADP
cana-6244	38	12	several	several	ADJ
cana-6244	38	13	well	well	ADV
cana-6244	38	14	-	-	PUNCT
cana-6244	38	15	known	know	VERB
cana-6244	38	16	equations	equation	NOUN
cana-6244	38	17	to	to	PART
cana-6244	38	18	obtain	obtain	VERB
cana-6244	38	19	the	the	DET
cana-6244	38	20	bilinear	bilinear	NOUN
cana-6244	38	21	forms	form	NOUN
cana-6244	38	22	.	.	PUNCT
cana-6244	39	1	section	section	NOUN
cana-6244	39	2	4	4	NUM
cana-6244	39	3	discusses	discuss	VERB
cana-6244	39	4	the	the	DET
cana-6244	39	5	results	result	NOUN
cana-6244	39	6	of	of	ADP
cana-6244	39	7	the	the	DET
cana-6244	39	8	bilinear	bilinear	NOUN
cana-6244	39	9	form	form	NOUN
cana-6244	39	10	for	for	ADP
cana-6244	39	11	the	the	DET
cana-6244	39	12	studied	study	VERB
cana-6244	39	13	equations	equation	NOUN
cana-6244	39	14	,	,	PUNCT
cana-6244	39	15	and	and	CCONJ
cana-6244	39	16	the	the	DET
cana-6244	39	17	ending	end	VERB
cana-6244	39	18	section	section	NOUN
cana-6244	39	19	concludes	conclude	VERB
cana-6244	39	20	the	the	DET
cana-6244	39	21	research	research	NOUN
cana-6244	39	22	work	work	NOUN
cana-6244	39	23	.	.	PUNCT
cana-6244	40	1	2	2	NUM
cana-6244	40	2	hirota	hirota	NOUN
cana-6244	40	3	bilinear	bilinear	NOUN
cana-6244	40	4	form	form	NOUN
cana-6244	40	5	of	of	ADP
cana-6244	40	6	a	a	DET
cana-6244	40	7	nonlinear	nonlinear	ADJ
cana-6244	40	8	pde	pde	NOUN
cana-6244	40	9	the	the	DET
cana-6244	40	10	algorithm	algorithm	NOUN
cana-6244	40	11	for	for	ADP
cana-6244	40	12	obtaining	obtain	VERB
cana-6244	40	13	the	the	DET
cana-6244	40	14	hirota	hirota	PROPN
cana-6244	40	15	bilinear	bilinear	NOUN
cana-6244	40	16	form	form	NOUN
cana-6244	40	17	and	and	CCONJ
cana-6244	40	18	its	its	PRON
cana-6244	40	19	application	application	NOUN
cana-6244	40	20	to	to	PART
cana-6244	40	21	differential	differential	VERB
cana-6244	40	22	equation	equation	NOUN
cana-6244	40	23	solving	solving	NOUN
cana-6244	40	24	will	will	AUX
cana-6244	40	25	be	be	AUX
cana-6244	40	26	the	the	DET
cana-6244	40	27	main	main	ADJ
cana-6244	40	28	topics	topic	NOUN
cana-6244	40	29	of	of	ADP
cana-6244	40	30	the	the	DET
cana-6244	40	31	next	next	ADJ
cana-6244	40	32	part	part	NOUN
cana-6244	40	33	.	.	PUNCT
cana-6244	41	1	hirota	hirota	PROPN
cana-6244	41	2	provided	provide	VERB
cana-6244	41	3	an	an	DET
cana-6244	41	4	algebraic	algebraic	ADJ
cana-6244	41	5	method	method	NOUN
cana-6244	41	6	for	for	ADP
cana-6244	41	7	finding	find	VERB
cana-6244	41	8	precise	precise	ADJ
cana-6244	41	9	soliton	soliton	NOUN
cana-6244	41	10	solutions	solution	NOUN
cana-6244	41	11	,	,	PUNCT
cana-6244	41	12	provided	provide	VERB
cana-6244	41	13	that	that	SCONJ
cana-6244	41	14	the	the	DET
cana-6244	41	15	nonlinear	nonlinear	ADJ
cana-6244	41	16	pde	pde	NOUN
cana-6244	41	17	could	could	AUX
cana-6244	41	18	be	be	AUX
cana-6244	41	19	transformed	transform	VERB
cana-6244	41	20	into	into	ADP
cana-6244	41	21	bilinear	bilinear	NOUN
cana-6244	41	22	form	form	NOUN
cana-6244	41	23	.	.	PUNCT
cana-6244	42	1	initially	initially	ADV
cana-6244	42	2	,	,	PUNCT
cana-6244	42	3	dependent	dependent	ADJ
cana-6244	42	4	variable	variable	ADJ
cana-6244	42	5	transformation	transformation	NOUN
cana-6244	42	6	was	be	AUX
cana-6244	42	7	used	use	VERB
cana-6244	42	8	to	to	PART
cana-6244	42	9	convert	convert	VERB
cana-6244	42	10	the	the	DET
cana-6244	42	11	pde	pde	NOUN
cana-6244	42	12	to	to	ADP
cana-6244	42	13	a	a	DET
cana-6244	42	14	bilinear	bilinear	NOUN
cana-6244	42	15	equation	equation	NOUN
cana-6244	42	16	for	for	ADP
cana-6244	42	17	an	an	DET
cana-6244	42	18	auxiliary	auxiliary	ADJ
cana-6244	42	19	function	function	NOUN
cana-6244	43	1	[	[	X
cana-6244	43	2	1	1	NUM
cana-6244	43	3	]	]	PUNCT
cana-6244	43	4	.	.	PUNCT
cana-6244	44	1	as	as	SCONJ
cana-6244	44	2	we	we	PRON
cana-6244	44	3	will	will	AUX
cana-6244	44	4	see	see	VERB
cana-6244	44	5	,	,	PUNCT
cana-6244	44	6	the	the	DET
cana-6244	44	7	concept	concept	NOUN
cana-6244	44	8	is	be	AUX
cana-6244	44	9	based	base	VERB
cana-6244	44	10	on	on	ADP
cana-6244	44	11	the	the	DET
cana-6244	44	12	properties	property	NOUN
cana-6244	44	13	of	of	ADP
cana-6244	44	14	a	a	DET
cana-6244	44	15	certain	certain	ADJ
cana-6244	44	16	bilinear	bilinear	NOUN
cana-6244	44	17	differential	differential	NOUN
cana-6244	44	18	operator	operator	NOUN
cana-6244	44	19	known	know	VERB
cana-6244	44	20	as	as	ADP
cana-6244	44	21	the	the	DET
cana-6244	44	22	hirota	hirota	PROPN
cana-6244	44	23	bilinear	bilinear	NOUN
cana-6244	44	24	operator	operator	NOUN
cana-6244	44	25	(	(	PUNCT
cana-6244	44	26	d	d	NOUN
cana-6244	44	27	-	-	NOUN
cana-6244	44	28	operator	operator	NOUN
cana-6244	44	29	)	)	PUNCT
cana-6244	45	1	[	[	X
cana-6244	45	2	19	19	NUM
cana-6244	45	3	]	]	PUNCT
cana-6244	45	4	.	.	PUNCT
cana-6244	46	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	46	2	1213	1213	NUM
cana-6244	46	3	communications	communication	NOUN
cana-6244	46	4	on	on	ADP
cana-6244	46	5	applied	apply	VERB
cana-6244	46	6	nonlinear	nonlinear	ADJ
cana-6244	46	7	analysis	analysis	NOUN
cana-6244	46	8	issn	issn	NOUN
cana-6244	46	9	:	:	PUNCT
cana-6244	46	10	1074	1074	NUM
cana-6244	46	11	-	-	PUNCT
cana-6244	46	12	133x	133x	NUM
cana-6244	46	13	vol	vol	NOUN
cana-6244	46	14	31	31	NUM
cana-6244	46	15	no	no	NOUN
cana-6244	46	16	.	.	PUNCT
cana-6244	47	1	8s	8s	PROPN
cana-6244	47	2	(	(	PUNCT
cana-6244	47	3	2024	2024	NUM
cana-6244	47	4	)	)	PUNCT
cana-6244	47	5	2.1	2.1	NUM
cana-6244	47	6	cole	cole	NOUN
cana-6244	47	7	–	–	PUNCT
cana-6244	47	8	hopf	hopf	ADJ
cana-6244	47	9	transformations	transformation	VERB
cana-6244	47	10	a	a	DET
cana-6244	47	11	mathematical	mathematical	ADJ
cana-6244	47	12	method	method	NOUN
cana-6244	47	13	for	for	ADP
cana-6244	47	14	investigating	investigate	VERB
cana-6244	47	15	partial	partial	ADJ
cana-6244	47	16	differential	differential	ADJ
cana-6244	47	17	equations	equation	NOUN
cana-6244	47	18	(	(	PUNCT
cana-6244	47	19	pdes	pde	NOUN
cana-6244	47	20	)	)	PUNCT
cana-6244	47	21	,	,	PUNCT
cana-6244	47	22	especially	especially	ADV
cana-6244	47	23	nonlinear	nonlinear	ADJ
cana-6244	47	24	pdes	pde	NOUN
cana-6244	47	25	,	,	PUNCT
cana-6244	47	26	is	be	AUX
cana-6244	47	27	the	the	DET
cana-6244	47	28	cole	cole	NOUN
cana-6244	47	29	–	–	PUNCT
cana-6244	47	30	hopf	hopf	ADJ
cana-6244	47	31	transformation	transformation	NOUN
cana-6244	47	32	.	.	PUNCT
cana-6244	48	1	cole	cole	PROPN
cana-6244	48	2	and	and	CCONJ
cana-6244	48	3	hopf	hopf	ADJ
cana-6244	48	4	[	[	X
cana-6244	48	5	20,21	20,21	NUM
cana-6244	48	6	]	]	PUNCT
cana-6244	48	7	created	create	VERB
cana-6244	48	8	the	the	DET
cana-6244	48	9	transformation	transformation	NOUN
cana-6244	48	10	in	in	ADP
cana-6244	48	11	the	the	DET
cana-6244	48	12	1950s	1950	NOUN
cana-6244	48	13	to	to	PART
cana-6244	48	14	simplify	simplify	VERB
cana-6244	48	15	and	and	CCONJ
cana-6244	48	16	sometimes	sometimes	ADV
cana-6244	48	17	linearize	linearize	VERB
cana-6244	48	18	certain	certain	ADJ
cana-6244	48	19	types	type	NOUN
cana-6244	48	20	of	of	ADP
cana-6244	48	21	nonlinear	nonlinear	ADJ
cana-6244	48	22	pdes.the	pdes.the	DET
cana-6244	48	23	cole	cole	NOUN
cana-6244	48	24	–	–	PUNCT
cana-6244	48	25	hopf	hopf	ADJ
cana-6244	48	26	transformation	transformation	NOUN
cana-6244	48	27	has	have	AUX
cana-6244	48	28	been	be	AUX
cana-6244	48	29	found	find	VERB
cana-6244	48	30	to	to	PART
cana-6244	48	31	be	be	AUX
cana-6244	48	32	a	a	DET
cana-6244	48	33	great	great	ADJ
cana-6244	48	34	mathematical	mathematical	ADJ
cana-6244	48	35	tool	tool	NOUN
cana-6244	48	36	to	to	PART
cana-6244	48	37	explore	explore	VERB
cana-6244	48	38	solitons	soliton	NOUN
cana-6244	48	39	and	and	CCONJ
cana-6244	48	40	the	the	DET
cana-6244	48	41	integrable	integrable	ADJ
cana-6244	48	42	equations	equation	NOUN
cana-6244	48	43	.	.	PUNCT
cana-6244	49	1	it	it	PRON
cana-6244	49	2	helps	help	VERB
cana-6244	49	3	scientists	scientist	NOUN
cana-6244	49	4	to	to	PART
cana-6244	49	5	investigate	investigate	VERB
cana-6244	49	6	the	the	DET
cana-6244	49	7	wave	wave	NOUN
cana-6244	49	8	structures	structure	NOUN
cana-6244	49	9	of	of	ADP
cana-6244	49	10	nonlinear	nonlinear	ADJ
cana-6244	49	11	equations	equation	NOUN
cana-6244	49	12	to	to	PART
cana-6244	49	13	explore	explore	VERB
cana-6244	49	14	the	the	DET
cana-6244	49	15	existence	existence	NOUN
cana-6244	49	16	of	of	ADP
cana-6244	49	17	solitary	solitary	ADJ
cana-6244	49	18	waves	wave	NOUN
cana-6244	49	19	,	,	PUNCT
cana-6244	49	20	lump	lump	NOUN
cana-6244	49	21	solutions	solution	NOUN
cana-6244	49	22	,	,	PUNCT
cana-6244	49	23	and	and	CCONJ
cana-6244	49	24	several	several	ADJ
cana-6244	49	25	others	other	NOUN
cana-6244	49	26	that	that	PRON
cana-6244	49	27	can	can	AUX
cana-6244	49	28	persist	persist	VERB
cana-6244	49	29	in	in	ADP
cana-6244	49	30	specific	specific	ADJ
cana-6244	49	31	nonlinear	nonlinear	ADJ
cana-6244	49	32	systems	system	NOUN
cana-6244	49	33	.	.	PUNCT
cana-6244	50	1	we	we	PRON
cana-6244	50	2	have	have	VERB
cana-6244	50	3	cole	cole	NOUN
cana-6244	50	4	-	-	PUNCT
cana-6244	50	5	hopf	hopf	VERB
cana-6244	50	6	transformation	transformation	NOUN
cana-6244	50	7	u	u	NOUN
cana-6244	50	8	=	=	PROPN
cana-6244	50	9	k	k	PROPN
cana-6244	50	10	(	(	PUNCT
cana-6244	50	11	log	log	PROPN
cana-6244	50	12	h)xp	h)xp	PROPN
cana-6244	50	13	,	,	PUNCT
cana-6244	50	14	where	where	SCONJ
cana-6244	50	15	p	p	NOUN
cana-6244	50	16	is	be	AUX
cana-6244	50	17	the	the	DET
cana-6244	50	18	order	order	NOUN
cana-6244	50	19	of	of	ADP
cana-6244	50	20	partial	partial	ADJ
cana-6244	50	21	derivative	derivative	NOUN
cana-6244	50	22	in	in	ADP
cana-6244	50	23	x	x	PUNCT
cana-6244	50	24	based	base	VERB
cana-6244	50	25	on	on	ADP
cana-6244	50	26	the	the	DET
cana-6244	50	27	balance	balance	NOUN
cana-6244	50	28	between	between	ADP
cana-6244	50	29	the	the	DET
cana-6244	50	30	pde	pde	NOUN
cana-6244	50	31	’s	’s	PART
cana-6244	50	32	higher	high	ADJ
cana-6244	50	33	-	-	PUNCT
cana-6244	50	34	order	order	NOUN
cana-6244	50	35	and	and	CCONJ
cana-6244	50	36	nonlinear	nonlinear	ADJ
cana-6244	50	37	terms	term	NOUN
cana-6244	50	38	.	.	PUNCT
cana-6244	51	1	the	the	DET
cana-6244	51	2	phase	phase	NOUN
cana-6244	51	3	variable	variable	NOUN
cana-6244	51	4	must	must	AUX
cana-6244	51	5	be	be	AUX
cana-6244	51	6	used	use	VERB
cana-6244	51	7	to	to	PART
cana-6244	51	8	obtain	obtain	VERB
cana-6244	51	9	the	the	DET
cana-6244	51	10	dispersion	dispersion	NOUN
cana-6244	51	11	in	in	ADP
cana-6244	51	12	order	order	NOUN
cana-6244	51	13	to	to	PART
cana-6244	51	14	create	create	VERB
cana-6244	51	15	the	the	DET
cana-6244	51	16	mentioned	mention	VERB
cana-6244	51	17	transformation	transformation	NOUN
cana-6244	52	1	[	[	X
cana-6244	52	2	22	22	NUM
cana-6244	52	3	]	]	PUNCT
cana-6244	52	4	,	,	PUNCT
cana-6244	52	5	which	which	PRON
cana-6244	52	6	we	we	PRON
cana-6244	52	7	’ll	’ll	AUX
cana-6244	52	8	discuss	discuss	VERB
cana-6244	52	9	through	through	ADP
cana-6244	52	10	examples	example	NOUN
cana-6244	52	11	in	in	ADP
cana-6244	52	12	a	a	DET
cana-6244	52	13	further	further	ADJ
cana-6244	52	14	section	section	NOUN
cana-6244	52	15	.	.	PUNCT
cana-6244	53	1	2.2	2.2	NUM
cana-6244	53	2	the	the	DET
cana-6244	53	3	hirota	hirota	PROPN
cana-6244	53	4	bilinear	bilinear	PROPN
cana-6244	53	5	operator	operator	NOUN
cana-6244	53	6	hirota	hirota	PROPN
cana-6244	53	7	gave	give	VERB
cana-6244	53	8	the	the	DET
cana-6244	53	9	d	d	NOUN
cana-6244	53	10	-	-	NOUN
cana-6244	53	11	operator	operator	NOUN
cana-6244	53	12	,	,	PUNCT
cana-6244	53	13	a	a	DET
cana-6244	53	14	binary	binary	ADJ
cana-6244	53	15	form	form	NOUN
cana-6244	53	16	that	that	PRON
cana-6244	53	17	outputs	output	VERB
cana-6244	53	18	a	a	DET
cana-6244	53	19	new	new	ADJ
cana-6244	53	20	function	function	NOUN
cana-6244	53	21	after	after	ADP
cana-6244	53	22	receiving	receive	VERB
cana-6244	53	23	two	two	NUM
cana-6244	53	24	functions	function	NOUN
cana-6244	53	25	as	as	ADP
cana-6244	53	26	input	input	NOUN
cana-6244	53	27	.	.	PUNCT
cana-6244	54	1	it	it	PRON
cana-6244	54	2	has	have	VERB
cana-6244	54	3	numerous	numerous	ADJ
cana-6244	54	4	qualities	quality	NOUN
cana-6244	54	5	that	that	PRON
cana-6244	54	6	make	make	VERB
cana-6244	54	7	it	it	PRON
cana-6244	54	8	helpful	helpful	ADJ
cana-6244	54	9	for	for	ADP
cana-6244	54	10	differential	differential	ADJ
cana-6244	54	11	equation	equation	NOUN
cana-6244	54	12	analysis	analysis	NOUN
cana-6244	54	13	.	.	PUNCT
cana-6244	55	1	in	in	ADP
cana-6244	55	2	particular	particular	ADJ
cana-6244	55	3	,	,	PUNCT
cana-6244	55	4	it	it	PRON
cana-6244	55	5	enables	enable	VERB
cana-6244	55	6	us	we	PRON
cana-6244	55	7	to	to	PART
cana-6244	55	8	identify	identify	VERB
cana-6244	55	9	soliton	soliton	NOUN
cana-6244	55	10	solutions	solution	NOUN
cana-6244	55	11	,	,	PUNCT
cana-6244	55	12	which	which	PRON
cana-6244	55	13	are	be	AUX
cana-6244	55	14	analytic	analytic	ADJ
cana-6244	55	15	solutions	solution	NOUN
cana-6244	55	16	to	to	ADP
cana-6244	55	17	them	they	PRON
cana-6244	55	18	.	.	PUNCT
cana-6244	56	1	a	a	DET
cana-6244	56	2	pair	pair	NOUN
cana-6244	56	3	of	of	ADP
cana-6244	56	4	functions	function	NOUN
cana-6244	56	5	provide	provide	VERB
cana-6244	56	6	the	the	DET
cana-6244	56	7	operator	operator	NOUN
cana-6244	56	8	’s	’s	PART
cana-6244	56	9	definition	definition	NOUN
cana-6244	56	10	as	as	ADP
cana-6244	56	11	(	(	PUNCT
cana-6244	56	12	h	h	NOUN
cana-6244	56	13	,	,	PUNCT
cana-6244	56	14	k	k	NOUN
cana-6244	56	15	)	)	PUNCT
cana-6244	56	16	of	of	ADP
cana-6244	56	17	a	a	DET
cana-6244	56	18	real	real	ADJ
cana-6244	56	19	variable	variable	NOUN
cana-6244	57	1	a	a	PRON
cana-6244	58	1	[	[	X
cana-6244	58	2	19	19	NUM
cana-6244	58	3	]	]	PUNCT
cana-6244	58	4	,	,	PUNCT
cana-6244	58	5	is	be	AUX
cana-6244	58	6	da(h	da(h	NOUN
cana-6244	58	7	,	,	PUNCT
cana-6244	58	8	k	k	NOUN
cana-6244	58	9	)	)	PUNCT
cana-6244	58	10	=	=	SYM
cana-6244	58	11	lim	lim	PROPN
cana-6244	58	12	a′→a	a′→a	PROPN
cana-6244	58	13	(	(	PUNCT
cana-6244	58	14	∂	∂	NOUN
cana-6244	58	15	∂a	∂a	CCONJ
cana-6244	58	16	−	−	PROPN
cana-6244	58	17	∂	∂	NUM
cana-6244	58	18	∂a′	∂a′	NOUN
cana-6244	58	19	)	)	PUNCT
cana-6244	58	20	h(a)k(a′	h(a)k(a′	PROPN
cana-6244	58	21	)	)	PUNCT
cana-6244	58	22	.	.	PUNCT
cana-6244	59	1	(	(	PUNCT
cana-6244	59	2	1	1	X
cana-6244	59	3	)	)	PUNCT
cana-6244	59	4	when	when	SCONJ
cana-6244	59	5	the	the	DET
cana-6244	59	6	operator	operator	NOUN
cana-6244	59	7	is	be	AUX
cana-6244	59	8	applied	apply	VERB
cana-6244	59	9	repeatedly	repeatedly	ADV
cana-6244	59	10	and	and	CCONJ
cana-6244	59	11	to	to	ADP
cana-6244	59	12	distinct	distinct	ADJ
cana-6244	59	13	variables	variable	NOUN
cana-6244	59	14	(	(	PUNCT
cana-6244	59	15	a	a	PRON
cana-6244	59	16	and	and	CCONJ
cana-6244	59	17	b	b	NOUN
cana-6244	59	18	in	in	ADP
cana-6244	59	19	this	this	DET
cana-6244	59	20	case	case	NOUN
cana-6244	59	21	)	)	PUNCT
cana-6244	59	22	,	,	PUNCT
cana-6244	59	23	but	but	CCONJ
cana-6244	59	24	it	it	PRON
cana-6244	59	25	is	be	AUX
cana-6244	59	26	obviously	obviously	ADV
cana-6244	59	27	generalizable	generalizable	ADJ
cana-6244	59	28	to	to	ADP
cana-6244	59	29	any	any	DET
cana-6244	59	30	number	number	NOUN
cana-6244	59	31	of	of	ADP
cana-6244	59	32	real	real	ADJ
cana-6244	59	33	variables	variable	NOUN
cana-6244	59	34	,	,	PUNCT
cana-6244	59	35	we	we	PRON
cana-6244	59	36	expand	expand	VERB
cana-6244	59	37	the	the	DET
cana-6244	59	38	definition	definition	NOUN
cana-6244	59	39	[	[	X
cana-6244	59	40	4	4	X
cana-6244	59	41	]	]	PUNCT
cana-6244	59	42	to	to	ADP
cana-6244	59	43	dp	dp	NOUN
cana-6244	59	44	ad	ad	NOUN
cana-6244	59	45	q	q	PROPN
cana-6244	59	46	b(h	b(h	PROPN
cana-6244	59	47	,	,	PUNCT
cana-6244	59	48	k	k	NOUN
cana-6244	59	49	)	)	PUNCT
cana-6244	59	50	=	=	SYM
cana-6244	59	51	lim	lim	PROPN
cana-6244	59	52	a′→a	a′→a	PROPN
cana-6244	59	53	,	,	PUNCT
cana-6244	59	54	b′→b	b′→b	PROPN
cana-6244	59	55	(	(	PUNCT
cana-6244	59	56	∂	∂	NOUN
cana-6244	59	57	∂a	∂a	CCONJ
cana-6244	59	58	−	−	PROPN
cana-6244	59	59	∂	∂	NUM
cana-6244	59	60	∂a′	∂a′	NOUN
cana-6244	59	61	)	)	PUNCT
cana-6244	60	1	p	p	X
cana-6244	60	2	(	(	PUNCT
cana-6244	60	3	∂	∂	NOUN
cana-6244	60	4	∂b	∂b	PROPN
cana-6244	60	5	−	−	PROPN
cana-6244	60	6	∂	∂	NOUN
cana-6244	60	7	∂b′	∂b′	NOUN
cana-6244	60	8	)	)	PUNCT
cana-6244	60	9	q	q	PROPN
cana-6244	61	1	h(a	h(a	PROPN
cana-6244	61	2	,	,	PUNCT
cana-6244	61	3	b)k(a′	b)k(a′	NOUN
cana-6244	61	4	,	,	PUNCT
cana-6244	61	5	b′	b′	NUM
cana-6244	61	6	)	)	PUNCT
cana-6244	61	7	.	.	PUNCT
cana-6244	62	1	below	below	ADV
cana-6244	62	2	are	be	AUX
cana-6244	62	3	some	some	DET
cana-6244	62	4	brief	brief	ADJ
cana-6244	62	5	outcomes	outcome	NOUN
cana-6244	62	6	to	to	PART
cana-6244	62	7	help	help	VERB
cana-6244	62	8	the	the	DET
cana-6244	62	9	d	d	NOUN
cana-6244	62	10	-	-	NOUN
cana-6244	62	11	operator	operator	NOUN
cana-6244	62	12	get	get	VERB
cana-6244	62	13	some	some	DET
cana-6244	62	14	intuition	intuition	NOUN
cana-6244	62	15	.	.	PUNCT
cana-6244	63	1	dy(h	dy(h	PUNCT
cana-6244	63	2	·	·	PUNCT
cana-6244	64	1	k	k	X
cana-6244	64	2	)	)	PUNCT
cana-6244	64	3	=	=	PUNCT
cana-6244	65	1	hyk	hyk	ADJ
cana-6244	65	2	−	−	PROPN
cana-6244	65	3	hky	hky	NOUN
cana-6244	65	4	,	,	PUNCT
cana-6244	65	5	d4	d4	PROPN
cana-6244	65	6	x(h	x(h	PROPN
cana-6244	65	7	·	·	PUNCT
cana-6244	65	8	k	k	X
cana-6244	65	9	)	)	PUNCT
cana-6244	65	10	=	=	PRON
cana-6244	65	11	hxxxxk	hxxxxk	VERB
cana-6244	65	12	−	−	PROPN
cana-6244	65	13	4.hxxxkx	4.hxxxkx	NUM
cana-6244	66	1	+	+	CCONJ
cana-6244	66	2	6.hxxkxx	6.hxxkxx	NUM
cana-6244	66	3	−	−	PROPN
cana-6244	66	4	4.hxkxxx	4.hxkxxx	NUM
cana-6244	67	1	+	+	NUM
cana-6244	67	2	hkxxxx	hkxxxx	NOUN
cana-6244	67	3	,	,	PUNCT
cana-6244	67	4	d2	d2	PROPN
cana-6244	67	5	y(h.k	y(h.k	NOUN
cana-6244	67	6	)	)	PUNCT
cana-6244	67	7	=	=	SYM
cana-6244	67	8	hyyk	hyyk	NOUN
cana-6244	67	9	+	+	CCONJ
cana-6244	67	10	hkyy	hkyy	NOUN
cana-6244	67	11	+	+	X
cana-6244	67	12	2hyky	2hyky	NUM
cana-6244	67	13	actually	actually	ADV
cana-6244	67	14	,	,	PUNCT
cana-6244	67	15	we	we	PRON
cana-6244	67	16	may	may	AUX
cana-6244	67	17	observe	observe	VERB
cana-6244	67	18	the	the	DET
cana-6244	67	19	following	follow	VERB
cana-6244	67	20	formula	formula	NOUN
cana-6244	67	21	,	,	PUNCT
cana-6244	67	22	which	which	PRON
cana-6244	67	23	is	be	AUX
cana-6244	67	24	created	create	VERB
cana-6244	67	25	by	by	ADP
cana-6244	67	26	applying	apply	VERB
cana-6244	67	27	binomial	binomial	ADJ
cana-6244	67	28	expansion	expansion	NOUN
cana-6244	67	29	to	to	ADP
cana-6244	67	30	powers	power	NOUN
cana-6244	67	31	of	of	ADP
cana-6244	67	32	(	(	PUNCT
cana-6244	67	33	1	1	NUM
cana-6244	67	34	)	)	PUNCT
cana-6244	67	35	,	,	PUNCT
cana-6244	67	36	for	for	ADP
cana-6244	67	37	the	the	DET
cana-6244	67	38	expansion	expansion	NOUN
cana-6244	67	39	of	of	ADP
cana-6244	67	40	the	the	DET
cana-6244	67	41	nth	nth	NOUN
cana-6244	67	42	power	power	NOUN
cana-6244	67	43	of	of	ADP
cana-6244	67	44	the	the	DET
cana-6244	67	45	operator	operator	NOUN
cana-6244	67	46	.	.	PUNCT
cana-6244	67	47	,	,	PUNCT
cana-6244	68	1	dn	dn	PROPN
cana-6244	68	2	xf1	xf1	VERB
cana-6244	68	3	·	·	PUNCT
cana-6244	68	4	f2	f2	PROPN
cana-6244	68	5	=	=	SYM
cana-6244	68	6	n∑	n∑	PROPN
cana-6244	68	7	k=0	k=0	PROPN
cana-6244	68	8	(	(	PUNCT
cana-6244	68	9	−1)k	−1)k	PROPN
cana-6244	68	10	(	(	PUNCT
cana-6244	68	11	n	n	X
cana-6244	68	12	k	k	NOUN
cana-6244	68	13	)	)	PUNCT
cana-6244	68	14	∂n−kx	∂n−kx	PROPN
cana-6244	68	15	f1(x	f1(x	NOUN
cana-6244	68	16	)	)	PUNCT
cana-6244	68	17	∂kxf2(x	∂kxf2(x	PROPN
cana-6244	68	18	)	)	PUNCT
cana-6244	68	19	.	.	PUNCT
cana-6244	69	1	(	(	PUNCT
cana-6244	69	2	2	2	X
cana-6244	69	3	)	)	PUNCT
cana-6244	69	4	2.3	2.3	NUM
cana-6244	69	5	algorithm	algorithm	NOUN
cana-6244	69	6	for	for	ADP
cana-6244	69	7	bilinear	bilinear	NOUN
cana-6244	69	8	form	form	NOUN
cana-6244	69	9	we	we	PRON
cana-6244	69	10	begin	begin	VERB
cana-6244	69	11	with	with	ADP
cana-6244	69	12	a	a	DET
cana-6244	69	13	nonlinear	nonlinear	ADJ
cana-6244	69	14	pde	pde	NOUN
cana-6244	69	15	of	of	ADP
cana-6244	69	16	the	the	DET
cana-6244	69	17	form	form	NOUN
cana-6244	69	18	in	in	ADP
cana-6244	69	19	(	(	PUNCT
cana-6244	69	20	n+	n+	NOUN
cana-6244	69	21	1	1	NUM
cana-6244	69	22	)	)	PUNCT
cana-6244	69	23	dimensions	dimension	NOUN
cana-6244	69	24	as	as	ADP
cana-6244	69	25	p	p	PROPN
cana-6244	69	26	(	(	PUNCT
cana-6244	69	27	u	u	NOUN
cana-6244	69	28	,	,	PUNCT
cana-6244	69	29	ux1	ux1	PROPN
cana-6244	69	30	,	,	PUNCT
cana-6244	69	31	ux2	ux2	PROPN
cana-6244	69	32	,	,	PUNCT
cana-6244	69	33	.	.	PUNCT
cana-6244	69	34	.	.	PUNCT
cana-6244	69	35	.	.	PUNCT
cana-6244	69	36	)	)	PUNCT
cana-6244	70	1	=	=	PUNCT
cana-6244	70	2	0	0	NUM
cana-6244	70	3	,	,	PUNCT
cana-6244	70	4	(	(	PUNCT
cana-6244	70	5	3	3	X
cana-6244	70	6	)	)	PUNCT
cana-6244	70	7	where	where	SCONJ
cana-6244	70	8	the	the	DET
cana-6244	70	9	function	function	NOUN
cana-6244	70	10	u	u	NOUN
cana-6244	70	11	=	=	NOUN
cana-6244	70	12	u(x1	u(x1	ADJ
cana-6244	70	13	,	,	PUNCT
cana-6244	70	14	x2	x2	PROPN
cana-6244	70	15	,	,	PUNCT
cana-6244	70	16	.	.	PUNCT
cana-6244	70	17	.	.	PUNCT
cana-6244	70	18	.	.	PUNCT
cana-6244	71	1	,	,	PUNCT
cana-6244	71	2	xn	xn	PROPN
cana-6244	71	3	,	,	PUNCT
cana-6244	71	4	t	t	PROPN
cana-6244	71	5	)	)	PUNCT
cana-6244	71	6	depends	depend	VERB
cana-6244	71	7	on	on	ADP
cana-6244	71	8	the	the	DET
cana-6244	71	9	spatial	spatial	ADJ
cana-6244	71	10	variables	variable	NOUN
cana-6244	71	11	x1	x1	PROPN
cana-6244	71	12	,	,	PUNCT
cana-6244	71	13	x2	x2	PROPN
cana-6244	71	14	,	,	PUNCT
cana-6244	71	15	.	.	PUNCT
cana-6244	71	16	.	.	PUNCT
cana-6244	72	1	.	.	PUNCT
cana-6244	73	1	,	,	PUNCT
cana-6244	73	2	xn	xn	PROPN
cana-6244	73	3	and	and	CCONJ
cana-6244	73	4	the	the	DET
cana-6244	73	5	temporal	temporal	ADJ
cana-6244	73	6	variable	variable	ADJ
cana-6244	73	7	t	t	PROPN
cana-6244	73	8	,	,	PUNCT
cana-6244	73	9	and	and	CCONJ
cana-6244	73	10	the	the	DET
cana-6244	73	11	operator	operator	NOUN
cana-6244	73	12	p	p	NOUN
cana-6244	73	13	involves	involve	VERB
cana-6244	73	14	u	u	PRON
cana-6244	73	15	together	together	ADV
cana-6244	73	16	with	with	ADP
cana-6244	73	17	its	its	PRON
cana-6244	73	18	partial	partial	ADJ
cana-6244	73	19	derivatives	derivative	NOUN
cana-6244	73	20	.	.	PUNCT
cana-6244	74	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	74	2	1214	1214	NUM
cana-6244	74	3	communications	communication	NOUN
cana-6244	74	4	on	on	ADP
cana-6244	74	5	applied	apply	VERB
cana-6244	74	6	nonlinear	nonlinear	ADJ
cana-6244	74	7	analysis	analysis	NOUN
cana-6244	74	8	issn	issn	NOUN
cana-6244	74	9	:	:	PUNCT
cana-6244	74	10	1074	1074	NUM
cana-6244	74	11	-	-	PUNCT
cana-6244	74	12	133x	133x	NUM
cana-6244	74	13	vol	vol	NOUN
cana-6244	74	14	31	31	NUM
cana-6244	74	15	no	no	NOUN
cana-6244	74	16	.	.	PUNCT
cana-6244	75	1	8s	8s	PROPN
cana-6244	75	2	(	(	PUNCT
cana-6244	75	3	2024	2024	NUM
cana-6244	75	4	)	)	PUNCT
cana-6244	75	5	step	step	NOUN
cana-6244	75	6	1	1	NUM
cana-6244	75	7	:	:	PUNCT
cana-6244	75	8	analysis	analysis	NOUN
cana-6244	75	9	of	of	ADP
cana-6244	75	10	the	the	DET
cana-6244	75	11	dispersion	dispersion	NOUN
cana-6244	75	12	relation	relation	NOUN
cana-6244	75	13	we	we	PRON
cana-6244	75	14	introduce	introduce	VERB
cana-6244	75	15	the	the	DET
cana-6244	75	16	phase	phase	NOUN
cana-6244	75	17	variable	variable	ADJ
cana-6244	75	18	ξi	ξi	NOUN
cana-6244	75	19	as	as	ADP
cana-6244	75	20	ξi	ξi	NOUN
cana-6244	75	21	=	=	PUNCT
cana-6244	75	22	k1ix1	k1ix1	PROPN
cana-6244	75	23	+	+	CCONJ
cana-6244	75	24	k2ix2	k2ix2	NOUN
cana-6244	75	25	+	+	CCONJ
cana-6244	75	26	k3ix3	k3ix3	NOUN
cana-6244	75	27	+	+	X
cana-6244	75	28	·	·	PUNCT
cana-6244	75	29	·	·	PUNCT
cana-6244	75	30	·	·	PUNCT
cana-6244	76	1	+	+	NUM
cana-6244	76	2	knixn	knixn	ADJ
cana-6244	76	3	+	+	CCONJ
cana-6244	76	4	ωit	ωit	NOUN
cana-6244	76	5	,	,	PUNCT
cana-6244	76	6	(	(	PUNCT
cana-6244	76	7	4	4	X
cana-6244	76	8	)	)	PUNCT
cana-6244	76	9	where	where	SCONJ
cana-6244	76	10	ωi	ωi	PROPN
cana-6244	76	11	represents	represent	VERB
cana-6244	76	12	the	the	DET
cana-6244	76	13	dispersion	dispersion	NOUN
cana-6244	76	14	relation	relation	NOUN
cana-6244	76	15	and	and	CCONJ
cana-6244	76	16	the	the	DET
cana-6244	76	17	coefficients	coefficient	NOUN
cana-6244	76	18	kni	kni	PROPN
cana-6244	76	19	(	(	PUNCT
cana-6244	76	20	1	1	NUM
cana-6244	76	21	≤	≤	NUM
cana-6244	76	22	n	n	CCONJ
cana-6244	76	23	≤	≤	NUM
cana-6244	76	24	n	n	CCONJ
cana-6244	76	25	)	)	PUNCT
cana-6244	76	26	are	be	AUX
cana-6244	76	27	constant	constant	ADJ
cana-6244	76	28	wave	wave	NOUN
cana-6244	76	29	numbers	number	NOUN
cana-6244	76	30	.	.	PUNCT
cana-6244	77	1	the	the	DET
cana-6244	77	2	above	above	ADJ
cana-6244	77	3	form	form	NOUN
cana-6244	77	4	of	of	ADP
cana-6244	77	5	the	the	DET
cana-6244	77	6	phase	phase	NOUN
cana-6244	77	7	variable	variable	NOUN
cana-6244	77	8	is	be	AUX
cana-6244	77	9	a	a	DET
cana-6244	77	10	standard	standard	ADJ
cana-6244	77	11	choice	choice	NOUN
cana-6244	77	12	,	,	PUNCT
cana-6244	77	13	illustrating	illustrate	VERB
cana-6244	77	14	the	the	DET
cana-6244	77	15	adaptability	adaptability	NOUN
cana-6244	77	16	of	of	ADP
cana-6244	77	17	the	the	DET
cana-6244	77	18	method	method	NOUN
cana-6244	77	19	to	to	ADP
cana-6244	77	20	different	different	ADJ
cana-6244	77	21	classes	class	NOUN
cana-6244	77	22	of	of	ADP
cana-6244	77	23	nonlinear	nonlinear	ADJ
cana-6244	77	24	pdes	pde	NOUN
cana-6244	77	25	.	.	PUNCT
cana-6244	78	1	depending	depend	VERB
cana-6244	78	2	on	on	ADP
cana-6244	78	3	the	the	DET
cana-6244	78	4	structure	structure	NOUN
cana-6244	78	5	of	of	ADP
cana-6244	78	6	the	the	DET
cana-6244	78	7	pde	pde	NOUN
cana-6244	78	8	,	,	PUNCT
cana-6244	78	9	however	however	ADV
cana-6244	78	10	,	,	PUNCT
cana-6244	78	11	this	this	DET
cana-6244	78	12	form	form	NOUN
cana-6244	78	13	may	may	AUX
cana-6244	78	14	vary	vary	VERB
cana-6244	78	15	.	.	PUNCT
cana-6244	79	1	we	we	PRON
cana-6244	79	2	substitute	substitute	VERB
cana-6244	79	3	the	the	DET
cana-6244	79	4	trial	trial	NOUN
cana-6244	79	5	solution	solution	NOUN
cana-6244	79	6	u	u	NOUN
cana-6244	79	7	=	=	NOUN
cana-6244	79	8	eξi	eξi	PROPN
cana-6244	79	9	in	in	ADP
cana-6244	79	10	linear	linear	ADJ
cana-6244	79	11	terms	term	NOUN
cana-6244	79	12	of	of	ADP
cana-6244	79	13	eq	eq	PROPN
cana-6244	79	14	.	.	PUNCT
cana-6244	80	1	(	(	PUNCT
cana-6244	80	2	3	3	NUM
cana-6244	80	3	)	)	PUNCT
cana-6244	80	4	and	and	CCONJ
cana-6244	80	5	solve	solve	VERB
cana-6244	80	6	for	for	ADP
cana-6244	80	7	dispersion	dispersion	NOUN
cana-6244	80	8	ωi	ωi	NOUN
cana-6244	80	9	.	.	PUNCT
cana-6244	80	10	step	step	NOUN
cana-6244	80	11	2	2	NUM
cana-6244	80	12	:	:	PUNCT
cana-6244	80	13	determining	determine	VERB
cana-6244	80	14	the	the	DET
cana-6244	80	15	transformation	transformation	NOUN
cana-6244	80	16	constant	constant	ADJ
cana-6244	80	17	r	r	NOUN
cana-6244	80	18	we	we	PRON
cana-6244	80	19	now	now	ADV
cana-6244	80	20	apply	apply	VERB
cana-6244	80	21	the	the	DET
cana-6244	80	22	logarithmic	logarithmic	ADJ
cana-6244	80	23	transformation	transformation	NOUN
cana-6244	80	24	u	u	NOUN
cana-6244	80	25	=	=	PROPN
cana-6244	80	26	k	k	PROPN
cana-6244	81	1	∂η	∂η	PROPN
cana-6244	81	2	∂χη	∂χη	PROPN
cana-6244	81	3	(	(	PUNCT
cana-6244	81	4	lnh	lnh	PROPN
cana-6244	81	5	)	)	PUNCT
cana-6244	81	6	,	,	PUNCT
cana-6244	81	7	(	(	PUNCT
cana-6244	81	8	5	5	X
cana-6244	81	9	)	)	PUNCT
cana-6244	81	10	where	where	SCONJ
cana-6244	81	11	η	η	PROPN
cana-6244	81	12	is	be	AUX
cana-6244	81	13	chosen	choose	VERB
cana-6244	81	14	so	so	SCONJ
cana-6244	81	15	that	that	SCONJ
cana-6244	81	16	the	the	DET
cana-6244	81	17	order	order	NOUN
cana-6244	81	18	of	of	ADP
cana-6244	81	19	the	the	DET
cana-6244	81	20	highest	high	ADJ
cana-6244	81	21	derivative	derivative	NOUN
cana-6244	81	22	in	in	ADP
cana-6244	81	23	eq	eq	ADP
cana-6244	81	24	.	.	PUNCT
cana-6244	82	1	(	(	PUNCT
cana-6244	82	2	3	3	X
cana-6244	82	3	)	)	PUNCT
cana-6244	82	4	balances	balance	NOUN
cana-6244	82	5	with	with	ADP
cana-6244	82	6	the	the	DET
cana-6244	82	7	nonlinear	nonlinear	ADJ
cana-6244	82	8	terms	term	NOUN
cana-6244	82	9	.	.	PUNCT
cana-6244	83	1	for	for	ADP
cana-6244	83	2	testing	testing	NOUN
cana-6244	83	3	purposes	purpose	NOUN
cana-6244	83	4	,	,	PUNCT
cana-6244	83	5	we	we	PRON
cana-6244	83	6	consider	consider	VERB
cana-6244	83	7	h	h	NOUN
cana-6244	83	8	=	=	NOUN
cana-6244	83	9	1	1	NUM
cana-6244	83	10	+	+	CCONJ
cana-6244	83	11	eξ1	eξ1	NOUN
cana-6244	83	12	.	.	PUNCT
cana-6244	84	1	substituting	substitute	VERB
cana-6244	84	2	this	this	PRON
cana-6244	84	3	into	into	ADP
cana-6244	84	4	eq	eq	NOUN
cana-6244	84	5	.	.	PUNCT
cana-6244	85	1	(	(	PUNCT
cana-6244	85	2	5	5	X
cana-6244	85	3	)	)	PUNCT
cana-6244	85	4	provides	provide	VERB
cana-6244	85	5	different	different	ADJ
cana-6244	85	6	possible	possible	ADJ
cana-6244	85	7	values	value	NOUN
cana-6244	85	8	of	of	ADP
cana-6244	85	9	the	the	DET
cana-6244	85	10	parameter	parameter	NOUN
cana-6244	85	11	k	k	PROPN
cana-6244	85	12	,	,	PUNCT
cana-6244	85	13	from	from	ADP
cana-6244	85	14	which	which	PRON
cana-6244	85	15	a	a	DET
cana-6244	85	16	suitable	suitable	ADJ
cana-6244	85	17	one	one	NOUN
cana-6244	85	18	can	can	AUX
cana-6244	85	19	be	be	AUX
cana-6244	85	20	selected	select	VERB
cana-6244	85	21	.	.	PUNCT
cana-6244	86	1	step	step	NOUN
cana-6244	86	2	3	3	NUM
cana-6244	86	3	:	:	PUNCT
cana-6244	86	4	deriving	derive	VERB
cana-6244	86	5	a	a	DET
cana-6244	86	6	quadratic	quadratic	ADJ
cana-6244	86	7	or	or	CCONJ
cana-6244	86	8	quartic	quartic	ADJ
cana-6244	86	9	equation	equation	NOUN
cana-6244	86	10	in	in	ADP
cana-6244	86	11	φ	φ	PROPN
cana-6244	86	12	substituting	substitute	VERB
cana-6244	86	13	the	the	DET
cana-6244	86	14	transformation	transformation	NOUN
cana-6244	86	15	(	(	PUNCT
cana-6244	86	16	5	5	NUM
cana-6244	86	17	)	)	PUNCT
cana-6244	86	18	into	into	ADP
cana-6244	86	19	the	the	DET
cana-6244	86	20	original	original	ADJ
cana-6244	86	21	pde	pde	NOUN
cana-6244	86	22	(	(	PUNCT
cana-6244	86	23	3	3	NUM
cana-6244	86	24	)	)	PUNCT
cana-6244	86	25	and	and	CCONJ
cana-6244	86	26	integrating	integrate	VERB
cana-6244	86	27	in	in	ADP
cana-6244	86	28	x	x	PROPN
cana-6244	86	29	(	(	PUNCT
cana-6244	86	30	at	at	ADP
cana-6244	86	31	least	least	ADJ
cana-6244	86	32	once	once	ADV
cana-6244	86	33	)	)	PUNCT
cana-6244	86	34	leads	lead	VERB
cana-6244	86	35	to	to	ADP
cana-6244	86	36	an	an	DET
cana-6244	86	37	algebraic	algebraic	ADJ
cana-6244	86	38	relation	relation	NOUN
cana-6244	86	39	in	in	ADP
cana-6244	86	40	terms	term	NOUN
cana-6244	86	41	of	of	ADP
cana-6244	86	42	h.	h.	NOUN
cana-6244	86	43	by	by	ADP
cana-6244	86	44	setting	set	VERB
cana-6244	86	45	the	the	DET
cana-6244	86	46	integration	integration	NOUN
cana-6244	86	47	constant	constant	ADJ
cana-6244	86	48	to	to	ADP
cana-6244	86	49	zero	zero	NUM
cana-6244	86	50	at	at	ADP
cana-6244	86	51	the	the	DET
cana-6244	86	52	lowest	low	ADJ
cana-6244	86	53	admissible	admissible	ADJ
cana-6244	86	54	order	order	NOUN
cana-6244	86	55	,	,	PUNCT
cana-6244	86	56	we	we	PRON
cana-6244	86	57	obtain	obtain	VERB
cana-6244	86	58	either	either	CCONJ
cana-6244	86	59	a	a	DET
cana-6244	86	60	quadratic	quadratic	ADJ
cana-6244	86	61	or	or	CCONJ
cana-6244	86	62	a	a	DET
cana-6244	86	63	quartic	quartic	ADJ
cana-6244	86	64	form	form	NOUN
cana-6244	86	65	,	,	PUNCT
cana-6244	86	66	q(h	q(h	PROPN
cana-6244	86	67	,	,	PUNCT
cana-6244	86	68	hx1	hx1	NOUN
cana-6244	86	69	,	,	PUNCT
cana-6244	86	70	hx2	hx2	NOUN
cana-6244	86	71	,	,	PUNCT
cana-6244	86	72	.	.	PUNCT
cana-6244	86	73	.	.	PUNCT
cana-6244	86	74	.	.	PUNCT
cana-6244	86	75	)	)	PUNCT
cana-6244	87	1	=	=	PUNCT
cana-6244	87	2	0	0	NUM
cana-6244	87	3	,	,	PUNCT
cana-6244	87	4	(	(	PUNCT
cana-6244	87	5	6	6	NUM
cana-6244	87	6	)	)	PUNCT
cana-6244	87	7	where	where	SCONJ
cana-6244	87	8	q	q	NOUN
cana-6244	87	9	involves	involve	VERB
cana-6244	87	10	h	h	NOUN
cana-6244	87	11	together	together	ADV
cana-6244	87	12	with	with	ADP
cana-6244	87	13	its	its	PRON
cana-6244	87	14	derivatives	derivative	NOUN
cana-6244	87	15	with	with	ADP
cana-6244	87	16	respect	respect	NOUN
cana-6244	87	17	to	to	ADP
cana-6244	87	18	t	t	PROPN
cana-6244	87	19	and	and	CCONJ
cana-6244	87	20	the	the	DET
cana-6244	87	21	spatial	spatial	ADJ
cana-6244	87	22	variables	variable	NOUN
cana-6244	87	23	x1	x1	PROPN
cana-6244	87	24	,	,	PUNCT
cana-6244	87	25	x2	x2	PROPN
cana-6244	87	26	,	,	PUNCT
cana-6244	87	27	.	.	PUNCT
cana-6244	87	28	.	.	PUNCT
cana-6244	87	29	.	.	PUNCT
cana-6244	88	1	,	,	PUNCT
cana-6244	88	2	xn	xn	X
cana-6244	88	3	.	.	PUNCT
cana-6244	88	4	step	step	NOUN
cana-6244	88	5	4	4	NUM
cana-6244	88	6	:	:	PUNCT
cana-6244	88	7	reformulation	reformulation	ADJ
cana-6244	88	8	into	into	ADP
cana-6244	88	9	hirota	hirota	PROPN
cana-6244	88	10	’s	’s	PART
cana-6244	88	11	bilinear	bilinear	PROPN
cana-6244	88	12	form	form	NOUN
cana-6244	88	13	the	the	DET
cana-6244	88	14	quadratic	quadratic	ADJ
cana-6244	88	15	structure	structure	NOUN
cana-6244	88	16	obtained	obtain	VERB
cana-6244	88	17	in	in	ADP
cana-6244	88	18	step	step	NOUN
cana-6244	88	19	3	3	NUM
cana-6244	88	20	can	can	AUX
cana-6244	88	21	be	be	AUX
cana-6244	88	22	expressed	express	VERB
cana-6244	88	23	in	in	ADP
cana-6244	88	24	terms	term	NOUN
cana-6244	88	25	of	of	ADP
cana-6244	88	26	hirota	hirota	PROPN
cana-6244	88	27	’s	’s	PART
cana-6244	88	28	bilinear	bilinear	PROPN
cana-6244	88	29	operators	operator	NOUN
cana-6244	88	30	.	.	PUNCT
cana-6244	89	1	the	the	DET
cana-6244	89	2	hirota	hirota	PROPN
cana-6244	89	3	derivative	derivative	NOUN
cana-6244	89	4	is	be	AUX
cana-6244	89	5	defined	define	VERB
cana-6244	89	6	by	by	ADP
cana-6244	89	7	dp	dp	NOUN
cana-6244	89	8	ad	ad	NOUN
cana-6244	89	9	q	q	PROPN
cana-6244	89	10	b(h	b(h	PROPN
cana-6244	89	11	,	,	PUNCT
cana-6244	89	12	k	k	NOUN
cana-6244	89	13	)	)	PUNCT
cana-6244	89	14	=	=	SYM
cana-6244	89	15	lim	lim	PROPN
cana-6244	89	16	a′→a	a′→a	PROPN
cana-6244	89	17	,	,	PUNCT
cana-6244	89	18	b′→b	b′→b	PROPN
cana-6244	89	19	(	(	PUNCT
cana-6244	89	20	∂	∂	NOUN
cana-6244	89	21	∂a	∂a	CCONJ
cana-6244	89	22	−	−	PROPN
cana-6244	89	23	∂	∂	NUM
cana-6244	89	24	∂a′	∂a′	NOUN
cana-6244	89	25	)	)	PUNCT
cana-6244	90	1	p	p	X
cana-6244	90	2	(	(	PUNCT
cana-6244	90	3	∂	∂	NOUN
cana-6244	90	4	∂b	∂b	PROPN
cana-6244	90	5	−	−	PROPN
cana-6244	90	6	∂	∂	NOUN
cana-6244	90	7	∂b′	∂b′	NOUN
cana-6244	90	8	)	)	PUNCT
cana-6244	90	9	q	q	PROPN
cana-6244	91	1	h(a	h(a	PROPN
cana-6244	91	2	,	,	PUNCT
cana-6244	91	3	b)k(a′	b)k(a′	NOUN
cana-6244	91	4	,	,	PUNCT
cana-6244	91	5	b′	b′	NUM
cana-6244	91	6	)	)	PUNCT
cana-6244	91	7	.	.	PUNCT
cana-6244	92	1	using	use	VERB
cana-6244	92	2	this	this	DET
cana-6244	92	3	representation	representation	NOUN
cana-6244	92	4	,	,	PUNCT
cana-6244	92	5	eq	eq	NOUN
cana-6244	92	6	.	.	PUNCT
cana-6244	93	1	(	(	PUNCT
cana-6244	93	2	6	6	NUM
cana-6244	93	3	)	)	PUNCT
cana-6244	93	4	can	can	AUX
cana-6244	93	5	be	be	AUX
cana-6244	93	6	rewritten	rewrite	VERB
cana-6244	93	7	in	in	ADP
cana-6244	93	8	bilinear	bilinear	NOUN
cana-6244	93	9	form	form	NOUN
cana-6244	93	10	,	,	PUNCT
cana-6244	93	11	thereby	thereby	ADV
cana-6244	93	12	yielding	yield	VERB
cana-6244	93	13	the	the	DET
cana-6244	93	14	hirota	hirota	NOUN
cana-6244	93	15	bilinear	bilinear	NOUN
cana-6244	93	16	expression	expression	NOUN
cana-6244	93	17	corresponding	correspond	VERB
cana-6244	93	18	to	to	ADP
cana-6244	93	19	the	the	DET
cana-6244	93	20	original	original	ADJ
cana-6244	93	21	nonlinear	nonlinear	ADJ
cana-6244	93	22	pde	pde	NOUN
cana-6244	93	23	(	(	PUNCT
cana-6244	93	24	3	3	NUM
cana-6244	93	25	)	)	PUNCT
cana-6244	93	26	.	.	PUNCT
cana-6244	94	1	3	3	NUM
cana-6244	94	2	applications	application	NOUN
cana-6244	94	3	of	of	ADP
cana-6244	94	4	hirota	hirota	PROPN
cana-6244	94	5	bilinear	bilinear	NOUN
cana-6244	94	6	form	form	NOUN
cana-6244	94	7	the	the	DET
cana-6244	94	8	process	process	NOUN
cana-6244	94	9	for	for	ADP
cana-6244	94	10	obtaining	obtain	VERB
cana-6244	94	11	hirota	hirota	NOUN
cana-6244	94	12	bilinear	bilinear	NOUN
cana-6244	94	13	forms	form	NOUN
cana-6244	94	14	is	be	AUX
cana-6244	94	15	often	often	ADV
cana-6244	94	16	illustrated	illustrate	VERB
cana-6244	94	17	using	use	VERB
cana-6244	94	18	classical	classical	ADJ
cana-6244	94	19	examples	example	NOUN
cana-6244	94	20	of	of	ADP
cana-6244	94	21	integrable	integrable	ADJ
cana-6244	94	22	equations	equation	NOUN
cana-6244	94	23	,	,	PUNCT
cana-6244	94	24	such	such	ADJ
cana-6244	94	25	as	as	ADP
cana-6244	94	26	the	the	DET
cana-6244	94	27	kdv	kdv	NOUN
cana-6244	94	28	and	and	CCONJ
cana-6244	94	29	the	the	DET
cana-6244	94	30	kp	kp	PROPN
cana-6244	94	31	equation	equation	NOUN
cana-6244	94	32	.	.	PUNCT
cana-6244	95	1	these	these	DET
cana-6244	95	2	equations	equation	NOUN
cana-6244	95	3	are	be	AUX
cana-6244	95	4	essential	essential	ADJ
cana-6244	95	5	to	to	ADP
cana-6244	95	6	the	the	DET
cana-6244	95	7	theory	theory	NOUN
cana-6244	95	8	of	of	ADP
cana-6244	95	9	solitons	soliton	NOUN
cana-6244	95	10	and	and	CCONJ
cana-6244	95	11	provide	provide	VERB
cana-6244	95	12	excellent	excellent	ADJ
cana-6244	95	13	examples	example	NOUN
cana-6244	95	14	of	of	ADP
cana-6244	95	15	how	how	SCONJ
cana-6244	95	16	well	well	ADV
cana-6244	95	17	hirota	hirota	NOUN
cana-6244	95	18	’s	’s	PART
cana-6244	95	19	approach	approach	NOUN
cana-6244	95	20	works	work	VERB
cana-6244	95	21	.	.	PUNCT
cana-6244	96	1	3.1	3.1	NUM
cana-6244	96	2	kdv	kdv	NOUN
cana-6244	96	3	equation	equation	NOUN
cana-6244	96	4	in	in	ADP
cana-6244	96	5	(	(	PUNCT
cana-6244	96	6	1	1	NUM
cana-6244	96	7	+	+	NOUN
cana-6244	96	8	1)-dimensions	1)-dimensions	NUM
cana-6244	96	9	the	the	DET
cana-6244	96	10	nonlinear	nonlinear	ADJ
cana-6244	96	11	kdv	kdv	NOUN
cana-6244	96	12	equation	equation	NOUN
cana-6244	96	13	models	model	VERB
cana-6244	96	14	the	the	DET
cana-6244	96	15	evolution	evolution	NOUN
cana-6244	96	16	of	of	ADP
cana-6244	96	17	long	long	ADJ
cana-6244	96	18	,	,	PUNCT
cana-6244	96	19	weak	weak	ADJ
cana-6244	96	20	nonlinear	nonlinear	ADJ
cana-6244	96	21	waves	wave	NOUN
cana-6244	96	22	in	in	ADP
cana-6244	96	23	one	one	NUM
cana-6244	96	24	spatial	spatial	ADJ
cana-6244	96	25	dimension	dimension	NOUN
cana-6244	97	1	[	[	X
cana-6244	97	2	22	22	NUM
cana-6244	97	3	]	]	PUNCT
cana-6244	97	4	.	.	PUNCT
cana-6244	98	1	originally	originally	ADV
cana-6244	98	2	,	,	PUNCT
cana-6244	98	3	it	it	PRON
cana-6244	98	4	was	be	AUX
cana-6244	98	5	described	describe	VERB
cana-6244	98	6	in	in	ADP
cana-6244	98	7	hydro	hydro	NOUN
cana-6244	98	8	-	-	PUNCT
cana-6244	98	9	dynamics	dynamic	NOUN
cana-6244	98	10	to	to	PART
cana-6244	98	11	discuss	discuss	VERB
cana-6244	98	12	the	the	DET
cana-6244	98	13	wave	wave	NOUN
cana-6244	98	14	motion	motion	NOUN
cana-6244	98	15	in	in	ADP
cana-6244	98	16	shallow	shallow	ADJ
cana-6244	98	17	water	water	NOUN
cana-6244	98	18	.	.	PUNCT
cana-6244	99	1	this	this	DET
cana-6244	99	2	equation	equation	NOUN
cana-6244	99	3	is	be	AUX
cana-6244	99	4	ut	ut	PROPN
cana-6244	99	5	+	+	CCONJ
cana-6244	99	6	6uux	6uux	NUM
cana-6244	99	7	+	+	CCONJ
cana-6244	99	8	uxxx	uxxx	ADJ
cana-6244	99	9	=	=	SYM
cana-6244	99	10	0	0	NUM
cana-6244	99	11	,	,	PUNCT
cana-6244	99	12	(	(	PUNCT
cana-6244	99	13	7	7	X
cana-6244	99	14	)	)	PUNCT
cana-6244	99	15	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	99	16	1215	1215	NUM
cana-6244	99	17	communications	communication	NOUN
cana-6244	99	18	on	on	ADP
cana-6244	99	19	applied	apply	VERB
cana-6244	99	20	nonlinear	nonlinear	ADJ
cana-6244	99	21	analysis	analysis	NOUN
cana-6244	99	22	issn	issn	NOUN
cana-6244	99	23	:	:	PUNCT
cana-6244	99	24	1074	1074	NUM
cana-6244	99	25	-	-	PUNCT
cana-6244	99	26	133x	133x	NUM
cana-6244	99	27	vol	vol	NOUN
cana-6244	99	28	31	31	NUM
cana-6244	99	29	no	no	NOUN
cana-6244	99	30	.	.	PUNCT
cana-6244	100	1	8s	8s	PROPN
cana-6244	100	2	(	(	PUNCT
cana-6244	100	3	2024	2024	NUM
cana-6244	100	4	)	)	PUNCT
cana-6244	100	5	where	where	SCONJ
cana-6244	100	6	x	x	PRON
cana-6244	100	7	denotes	denote	VERB
cana-6244	100	8	the	the	DET
cana-6244	100	9	spatial	spatial	ADJ
cana-6244	100	10	coordinate	coordinate	NOUN
cana-6244	100	11	,	,	PUNCT
cana-6244	100	12	t	t	PROPN
cana-6244	100	13	represents	represent	VERB
cana-6244	100	14	time	time	NOUN
cana-6244	100	15	,	,	PUNCT
cana-6244	100	16	and	and	CCONJ
cana-6244	100	17	u	u	NOUN
cana-6244	100	18	as	as	ADP
cana-6244	100	19	dependent	dependent	ADJ
cana-6244	100	20	variable	variable	NOUN
cana-6244	100	21	for	for	ADP
cana-6244	100	22	wave	wave	NOUN
cana-6244	100	23	amplitude	amplitude	NOUN
cana-6244	100	24	.	.	PUNCT
cana-6244	101	1	a	a	DET
cana-6244	101	2	remarkable	remarkable	ADJ
cana-6244	101	3	property	property	NOUN
cana-6244	101	4	of	of	ADP
cana-6244	101	5	eq	eq	PROPN
cana-6244	101	6	.	.	PUNCT
cana-6244	102	1	(	(	PUNCT
cana-6244	102	2	7	7	X
cana-6244	102	3	)	)	PUNCT
cana-6244	102	4	is	be	AUX
cana-6244	102	5	the	the	DET
cana-6244	102	6	existence	existence	NOUN
cana-6244	102	7	of	of	ADP
cana-6244	102	8	solitons	soliton	NOUN
cana-6244	102	9	.	.	PUNCT
cana-6244	103	1	the	the	DET
cana-6244	103	2	persistence	persistence	NOUN
cana-6244	103	3	of	of	ADP
cana-6244	103	4	solitons	soliton	NOUN
cana-6244	103	5	is	be	AUX
cana-6244	103	6	a	a	DET
cana-6244	103	7	direct	direct	ADJ
cana-6244	103	8	consequence	consequence	NOUN
cana-6244	103	9	of	of	ADP
cana-6244	103	10	the	the	DET
cana-6244	103	11	balance	balance	NOUN
cana-6244	103	12	between	between	ADP
cana-6244	103	13	the	the	DET
cana-6244	103	14	nonlinear	nonlinear	ADJ
cana-6244	103	15	and	and	CCONJ
cana-6244	103	16	dispersive	dispersive	ADJ
cana-6244	103	17	contributions	contribution	NOUN
cana-6244	103	18	in	in	ADP
cana-6244	103	19	the	the	DET
cana-6244	103	20	equation	equation	NOUN
cana-6244	103	21	.	.	PUNCT
cana-6244	104	1	because	because	SCONJ
cana-6244	104	2	of	of	ADP
cana-6244	104	3	this	this	PRON
cana-6244	104	4	,	,	PUNCT
cana-6244	104	5	the	the	DET
cana-6244	104	6	kdv	kdv	NOUN
cana-6244	104	7	equation	equation	NOUN
cana-6244	104	8	has	have	AUX
cana-6244	104	9	become	become	VERB
cana-6244	104	10	a	a	DET
cana-6244	104	11	central	central	ADJ
cana-6244	104	12	model	model	NOUN
cana-6244	104	13	in	in	ADP
cana-6244	104	14	the	the	DET
cana-6244	104	15	study	study	NOUN
cana-6244	104	16	of	of	ADP
cana-6244	104	17	nonlinear	nonlinear	ADJ
cana-6244	104	18	wave	wave	NOUN
cana-6244	104	19	dynamics	dynamic	NOUN
cana-6244	104	20	,	,	PUNCT
cana-6244	104	21	with	with	ADP
cana-6244	104	22	applications	application	NOUN
cana-6244	104	23	ranging	range	VERB
cana-6244	104	24	across	across	ADP
cana-6244	104	25	oceanography	oceanography	NOUN
cana-6244	104	26	,	,	PUNCT
cana-6244	104	27	plasma	plasma	NOUN
cana-6244	104	28	physics	physics	NOUN
cana-6244	104	29	,	,	PUNCT
cana-6244	104	30	and	and	CCONJ
cana-6244	104	31	optics	optic	NOUN
cana-6244	104	32	.	.	PUNCT
cana-6244	105	1	to	to	PART
cana-6244	105	2	explore	explore	VERB
cana-6244	105	3	the	the	DET
cana-6244	105	4	dispersion	dispersion	NOUN
cana-6244	105	5	relation	relation	NOUN
cana-6244	105	6	in	in	ADP
cana-6244	105	7	the	the	DET
cana-6244	105	8	kdv	kdv	NOUN
cana-6244	105	9	equation	equation	NOUN
cana-6244	105	10	(	(	PUNCT
cana-6244	105	11	7	7	NUM
cana-6244	105	12	)	)	PUNCT
cana-6244	105	13	,	,	PUNCT
cana-6244	105	14	we	we	PRON
cana-6244	105	15	introduce	introduce	VERB
cana-6244	105	16	the	the	DET
cana-6244	105	17	phase	phase	NOUN
cana-6244	105	18	variable	variable	NOUN
cana-6244	105	19	ξi	ξi	NOUN
cana-6244	105	20	=	=	SYM
cana-6244	105	21	µix+	µix+	PROPN
cana-6244	105	22	dit	dit	PROPN
cana-6244	105	23	,	,	PUNCT
cana-6244	105	24	where	where	SCONJ
cana-6244	105	25	µi	µi	PROPN
cana-6244	105	26	(	(	PUNCT
cana-6244	105	27	i	i	NOUN
cana-6244	105	28	=	=	NOUN
cana-6244	105	29	1	1	NUM
cana-6244	105	30	,	,	PUNCT
cana-6244	105	31	2	2	NUM
cana-6244	105	32	,	,	PUNCT
cana-6244	105	33	.	.	PUNCT
cana-6244	105	34	.	.	PUNCT
cana-6244	105	35	.	.	PUNCT
cana-6244	105	36	)	)	PUNCT
cana-6244	105	37	are	be	AUX
cana-6244	105	38	constants	constant	NOUN
cana-6244	105	39	and	and	CCONJ
cana-6244	105	40	di	di	NOUN
cana-6244	105	41	is	be	AUX
cana-6244	105	42	the	the	DET
cana-6244	105	43	dispersion	dispersion	NOUN
cana-6244	105	44	parameter	parameter	NOUN
cana-6244	105	45	.	.	PUNCT
cana-6244	106	1	substituting	substitute	VERB
cana-6244	106	2	the	the	DET
cana-6244	106	3	trial	trial	NOUN
cana-6244	106	4	solution	solution	NOUN
cana-6244	106	5	u	u	NOUN
cana-6244	106	6	=	=	NOUN
cana-6244	106	7	eξi	eξi	PROPN
cana-6244	106	8	into	into	ADP
cana-6244	106	9	the	the	DET
cana-6244	106	10	linear	linear	ADJ
cana-6244	106	11	part	part	NOUN
cana-6244	106	12	of	of	ADP
cana-6244	106	13	eq	eq	PROPN
cana-6244	106	14	.	.	PUNCT
cana-6244	107	1	(	(	PUNCT
cana-6244	107	2	7	7	X
cana-6244	107	3	)	)	PUNCT
cana-6244	107	4	gives	give	VERB
cana-6244	107	5	u	u	NOUN
cana-6244	107	6	=	=	PROPN
cana-6244	107	7	eξi	eξi	PROPN
cana-6244	107	8	,	,	PUNCT
cana-6244	107	9	ut	ut	PROPN
cana-6244	107	10	=	=	PRON
cana-6244	107	11	die	die	VERB
cana-6244	107	12	ξi	ξi	NOUN
cana-6244	107	13	,	,	PUNCT
cana-6244	107	14	uxxx	uxxx	PROPN
cana-6244	107	15	=	=	PUNCT
cana-6244	107	16	µ3i	µ3i	PUNCT
cana-6244	107	17	e	e	NOUN
cana-6244	107	18	ξi	ξi	NOUN
cana-6244	107	19	.	.	PUNCT
cana-6244	108	1	thus	thus	ADV
cana-6244	108	2	,	,	PUNCT
cana-6244	108	3	from	from	ADP
cana-6244	108	4	the	the	DET
cana-6244	108	5	relation	relation	NOUN
cana-6244	108	6	ut	ut	PROPN
cana-6244	109	1	+	+	CCONJ
cana-6244	109	2	uxxx	uxxx	PROPN
cana-6244	109	3	=	=	SYM
cana-6244	109	4	0	0	NUM
cana-6244	109	5	,	,	PUNCT
cana-6244	109	6	we	we	PRON
cana-6244	109	7	obtain	obtain	AUX
cana-6244	109	8	die	die	VERB
cana-6244	109	9	ξi	ξi	NOUN
cana-6244	109	10	+	+	CCONJ
cana-6244	109	11	µ3i	µ3i	PROPN
cana-6244	109	12	e	e	SYM
cana-6244	109	13	ξi	ξi	NOUN
cana-6244	109	14	=	=	SYM
cana-6244	109	15	eξi	eξi	PROPN
cana-6244	109	16	(	(	PUNCT
cana-6244	109	17	µ3i	µ3i	X
cana-6244	109	18	+	+	SYM
cana-6244	109	19	di	di	NOUN
cana-6244	109	20	)	)	PUNCT
cana-6244	110	1	=	=	SYM
cana-6244	110	2	0	0	NUM
cana-6244	110	3	,	,	PUNCT
cana-6244	110	4	which	which	PRON
cana-6244	110	5	implies	imply	VERB
cana-6244	110	6	di	di	X
cana-6244	110	7	=	=	NOUN
cana-6244	110	8	−µ3i	−µ3i	NUM
cana-6244	110	9	.	.	PUNCT
cana-6244	111	1	hence	hence	ADV
cana-6244	111	2	,	,	PUNCT
cana-6244	111	3	the	the	DET
cana-6244	111	4	phase	phase	NOUN
cana-6244	111	5	variable	variable	NOUN
cana-6244	111	6	becomes	become	VERB
cana-6244	111	7	ξi	ξi	NOUN
cana-6244	111	8	=	=	SYM
cana-6244	111	9	µix−	µix−	PROPN
cana-6244	111	10	µ3i	µ3i	PROPN
cana-6244	111	11	t.	t.	PROPN
cana-6244	111	12	next	next	ADJ
cana-6244	111	13	,	,	PUNCT
cana-6244	111	14	we	we	PRON
cana-6244	111	15	construct	construct	VERB
cana-6244	111	16	solutions	solution	NOUN
cana-6244	111	17	of	of	ADP
cana-6244	111	18	eq	eq	PROPN
cana-6244	111	19	.	.	PUNCT
cana-6244	112	1	(	(	PUNCT
cana-6244	112	2	7	7	X
cana-6244	112	3	)	)	PUNCT
cana-6244	112	4	using	use	VERB
cana-6244	112	5	the	the	DET
cana-6244	112	6	cole	cole	NOUN
cana-6244	112	7	–	–	PUNCT
cana-6244	112	8	hopf	hopf	ADJ
cana-6244	112	9	transformation	transformation	NOUN
cana-6244	112	10	,	,	PUNCT
cana-6244	112	11	which	which	PRON
cana-6244	112	12	introduces	introduce	VERB
cana-6244	112	13	a	a	DET
cana-6244	112	14	logarithmic	logarithmic	ADJ
cana-6244	112	15	representation	representation	NOUN
cana-6244	112	16	of	of	ADP
cana-6244	112	17	the	the	DET
cana-6244	112	18	dependent	dependent	ADJ
cana-6244	112	19	variable	variable	NOUN
cana-6244	112	20	:	:	PUNCT
cana-6244	112	21	u	u	PROPN
cana-6244	112	22	=	=	PROPN
cana-6244	112	23	k(log	k(log	NOUN
cana-6244	112	24	h)xx	h)xx	PROPN
cana-6244	112	25	,	,	PUNCT
cana-6244	112	26	(	(	PUNCT
cana-6244	112	27	8)	8)	NUM
cana-6244	112	28	where	where	SCONJ
cana-6244	112	29	h	h	NOUN
cana-6244	112	30	=	=	SYM
cana-6244	112	31	h(x	h(x	PROPN
cana-6244	112	32	,	,	PUNCT
cana-6244	112	33	t	t	PROPN
cana-6244	112	34	)	)	PUNCT
cana-6244	112	35	.	.	PUNCT
cana-6244	113	1	it	it	PRON
cana-6244	113	2	may	may	AUX
cana-6244	113	3	be	be	AUX
cana-6244	113	4	written	write	VERB
cana-6244	113	5	as	as	ADP
cana-6244	113	6	u	u	NOUN
cana-6244	113	7	=	=	PROPN
cana-6244	113	8	wxx	wxx	PROPN
cana-6244	113	9	,	,	PUNCT
cana-6244	113	10	with	with	ADP
cana-6244	113	11	w	w	PROPN
cana-6244	113	12	=	=	SYM
cana-6244	113	13	k(log	k(log	PROPN
cana-6244	113	14	h	h	PROPN
cana-6244	113	15	)	)	PUNCT
cana-6244	113	16	.	.	PUNCT
cana-6244	114	1	(	(	PUNCT
cana-6244	114	2	9	9	X
cana-6244	114	3	)	)	PUNCT
cana-6244	114	4	to	to	PART
cana-6244	114	5	determine	determine	VERB
cana-6244	114	6	the	the	DET
cana-6244	114	7	value	value	NOUN
cana-6244	114	8	of	of	ADP
cana-6244	114	9	k	k	PROPN
cana-6244	114	10	,	,	PUNCT
cana-6244	114	11	we	we	PRON
cana-6244	114	12	choose	choose	VERB
cana-6244	114	13	the	the	DET
cana-6244	114	14	auxiliary	auxiliary	ADJ
cana-6244	114	15	function	function	NOUN
cana-6244	114	16	in	in	ADP
cana-6244	114	17	the	the	DET
cana-6244	114	18	cole	cole	NOUN
cana-6244	114	19	–	–	PUNCT
cana-6244	114	20	hopf	hopf	ADJ
cana-6244	114	21	transformation	transformation	NOUN
cana-6244	114	22	as	as	ADP
cana-6244	114	23	h(x	h(x	PROPN
cana-6244	114	24	,	,	PUNCT
cana-6244	114	25	t	t	PROPN
cana-6244	114	26	)	)	PUNCT
cana-6244	114	27	=	=	SYM
cana-6244	115	1	1	1	NUM
cana-6244	115	2	+	+	NUM
cana-6244	115	3	eξ1	eξ1	NOUN
cana-6244	115	4	=	=	SYM
cana-6244	115	5	1	1	NUM
cana-6244	115	6	+	+	NUM
cana-6244	115	7	eµ1x+d1	eµ1x+d1	NOUN
cana-6244	115	8	t	t	NOUN
cana-6244	115	9	=	=	SYM
cana-6244	115	10	1	1	NUM
cana-6244	115	11	+	+	NUM
cana-6244	115	12	eµ1x−µ3	eµ1x−µ3	PROPN
cana-6244	115	13	1	1	NUM
cana-6244	115	14	t.	t.	NOUN
cana-6244	115	15	(	(	PUNCT
cana-6244	115	16	10	10	NUM
cana-6244	115	17	)	)	PUNCT
cana-6244	115	18	substituting	substitute	VERB
cana-6244	115	19	eq	eq	PROPN
cana-6244	115	20	.	.	PUNCT
cana-6244	116	1	(	(	PUNCT
cana-6244	116	2	10	10	NUM
cana-6244	116	3	)	)	PUNCT
cana-6244	116	4	into	into	ADP
cana-6244	116	5	eq	eq	NOUN
cana-6244	116	6	.	.	PUNCT
cana-6244	117	1	(	(	PUNCT
cana-6244	117	2	7	7	NUM
cana-6244	117	3	)	)	PUNCT
cana-6244	117	4	and	and	CCONJ
cana-6244	117	5	get	get	VERB
cana-6244	117	6	the	the	DET
cana-6244	117	7	k	k	PROPN
cana-6244	117	8	as	as	ADP
cana-6244	117	9	k	k	PROPN
cana-6244	117	10	=	=	PROPN
cana-6244	117	11	2	2	X
cana-6244	117	12	.	.	PUNCT
cana-6244	118	1	therefore	therefore	ADV
cana-6244	118	2	,	,	PUNCT
cana-6244	118	3	the	the	DET
cana-6244	118	4	logarithmic	logarithmic	ADJ
cana-6244	118	5	transformation	transformation	NOUN
cana-6244	118	6	reduces	reduce	VERB
cana-6244	118	7	to	to	ADP
cana-6244	118	8	u	u	NOUN
cana-6244	118	9	=	=	NOUN
cana-6244	118	10	2(logk)xx	2(logk)xx	NUM
cana-6244	118	11	.	.	PUNCT
cana-6244	119	1	(	(	PUNCT
cana-6244	119	2	11	11	NUM
cana-6244	119	3	)	)	PUNCT
cana-6244	119	4	now	now	ADV
cana-6244	119	5	,	,	PUNCT
cana-6244	119	6	from	from	ADP
cana-6244	119	7	(	(	PUNCT
cana-6244	119	8	9	9	NUM
cana-6244	119	9	)	)	PUNCT
cana-6244	119	10	,	,	PUNCT
cana-6244	119	11	we	we	PRON
cana-6244	119	12	have	have	VERB
cana-6244	119	13	ut	ut	PROPN
cana-6244	119	14	=	=	PUNCT
cana-6244	119	15	wxxt	wxxt	NOUN
cana-6244	119	16	,	,	PUNCT
cana-6244	119	17	ux	ux	NOUN
cana-6244	119	18	=	=	SYM
cana-6244	119	19	wxxx	wxxx	PROPN
cana-6244	119	20	and	and	CCONJ
cana-6244	119	21	uxxx	uxxx	PROPN
cana-6244	119	22	=	=	SYM
cana-6244	119	23	wxxxxx	wxxxxx	PROPN
cana-6244	119	24	putting	put	VERB
cana-6244	119	25	the	the	DET
cana-6244	119	26	above	above	ADJ
cana-6244	119	27	expressions	expression	NOUN
cana-6244	119	28	into	into	ADP
cana-6244	119	29	eq.(7	eq.(7	NOUN
cana-6244	119	30	)	)	PUNCT
cana-6244	119	31	,	,	PUNCT
cana-6244	119	32	we	we	PRON
cana-6244	119	33	get	get	VERB
cana-6244	119	34	wxxt	wxxt	NOUN
cana-6244	119	35	+	+	CCONJ
cana-6244	119	36	6wxxwxxx	6wxxwxxx	NUM
cana-6244	119	37	+	+	NUM
cana-6244	119	38	wxxxxx	wxxxxx	NOUN
cana-6244	119	39	(	(	PUNCT
cana-6244	119	40	12)=	12)=	NUM
cana-6244	119	41	0	0	NUM
cana-6244	120	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	120	2	1216	1216	NUM
cana-6244	120	3	communications	communication	NOUN
cana-6244	120	4	on	on	ADP
cana-6244	120	5	applied	apply	VERB
cana-6244	120	6	nonlinear	nonlinear	ADJ
cana-6244	120	7	analysis	analysis	NOUN
cana-6244	120	8	issn	issn	NOUN
cana-6244	120	9	:	:	PUNCT
cana-6244	120	10	1074	1074	NUM
cana-6244	120	11	-	-	PUNCT
cana-6244	120	12	133x	133x	NUM
cana-6244	120	13	vol	vol	NOUN
cana-6244	120	14	31	31	NUM
cana-6244	120	15	no	no	NOUN
cana-6244	120	16	.	.	PUNCT
cana-6244	121	1	8s	8s	PROPN
cana-6244	121	2	(	(	PUNCT
cana-6244	121	3	2024	2024	NUM
cana-6244	121	4	)	)	PUNCT
cana-6244	121	5	on	on	ADP
cana-6244	121	6	integrating	integrate	VERB
cana-6244	121	7	w.r.t	w.r.t	NOUN
cana-6244	121	8	.	.	PUNCT
cana-6244	122	1	x	x	X
cana-6244	122	2	wxt	wxt	NOUN
cana-6244	122	3	+	+	CCONJ
cana-6244	122	4	6	6	NUM
cana-6244	122	5	∫	∫	PROPN
cana-6244	122	6	wxxwxxx	wxxwxxx	PROPN
cana-6244	122	7	∂x+	∂x+	PROPN
cana-6244	122	8	wxxxx	wxxxx	NOUN
cana-6244	122	9	=	=	NOUN
cana-6244	122	10	0	0	X
cana-6244	122	11	.	.	PUNCT
cana-6244	123	1	(	(	PUNCT
cana-6244	123	2	13	13	NUM
cana-6244	123	3	)	)	PUNCT
cana-6244	123	4	we	we	PRON
cana-6244	123	5	compute	compute	VERB
cana-6244	123	6	integral	integral	ADJ
cana-6244	123	7	term	term	NOUN
cana-6244	123	8	in	in	ADP
cana-6244	123	9	equation	equation	NOUN
cana-6244	123	10	(	(	PUNCT
cana-6244	123	11	13	13	NUM
cana-6244	123	12	)	)	PUNCT
cana-6244	123	13	with	with	ADP
cana-6244	123	14	constant	constant	ADJ
cana-6244	123	15	of	of	ADP
cana-6244	123	16	integration	integration	NOUN
cana-6244	123	17	as	as	ADP
cana-6244	123	18	zero	zero	NUM
cana-6244	123	19	i	i	NOUN
cana-6244	124	1	=	=	SYM
cana-6244	125	1	∫	∫	PROPN
cana-6244	125	2	wxxwxxx	wxxwxxx	PROPN
cana-6244	125	3	∂x	∂x	PROPN
cana-6244	125	4	=	=	SYM
cana-6244	125	5	1	1	NUM
cana-6244	125	6	2	2	NUM
cana-6244	125	7	∫	∫	NOUN
cana-6244	125	8	2wxxwxxx	2wxxwxxx	NUM
cana-6244	125	9	∂x	∂x	PROPN
cana-6244	125	10	=	=	SYM
cana-6244	125	11	1	1	NUM
cana-6244	125	12	2	2	NUM
cana-6244	125	13	w2	w2	NOUN
cana-6244	125	14	xx	xx	NUM
cana-6244	125	15	,	,	PUNCT
cana-6244	125	16	(	(	PUNCT
cana-6244	125	17	14	14	NUM
cana-6244	125	18	)	)	PUNCT
cana-6244	125	19	substituting	substitute	VERB
cana-6244	125	20	the	the	DET
cana-6244	125	21	value	value	NOUN
cana-6244	125	22	of	of	ADP
cana-6244	125	23	i	i	PRON
cana-6244	125	24	in	in	ADP
cana-6244	125	25	equation	equation	NOUN
cana-6244	125	26	(	(	PUNCT
cana-6244	125	27	13	13	NUM
cana-6244	125	28	)	)	PUNCT
cana-6244	125	29	,	,	PUNCT
cana-6244	125	30	we	we	PRON
cana-6244	125	31	get	get	VERB
cana-6244	125	32	wxt	wxt	NOUN
cana-6244	125	33	+	+	CCONJ
cana-6244	125	34	3w2	3w2	NUM
cana-6244	125	35	xx	xx	NUM
cana-6244	126	1	+	+	CCONJ
cana-6244	126	2	wxxxx	wxxxx	NOUN
cana-6244	126	3	=	=	NOUN
cana-6244	126	4	0	0	X
cana-6244	126	5	.	.	PUNCT
cana-6244	127	1	(	(	PUNCT
cana-6244	127	2	15	15	NUM
cana-6244	127	3	)	)	PUNCT
cana-6244	127	4	as	as	SCONJ
cana-6244	127	5	we	we	PRON
cana-6244	127	6	have	have	VERB
cana-6244	127	7	w	w	NOUN
cana-6244	127	8	=	=	NOUN
cana-6244	127	9	2(log	2(log	NUM
cana-6244	128	1	f	f	NOUN
cana-6244	128	2	)	)	PUNCT
cana-6244	128	3	,	,	PUNCT
cana-6244	128	4	we	we	PRON
cana-6244	128	5	can	can	AUX
cana-6244	128	6	get	get	VERB
cana-6244	128	7	the	the	DET
cana-6244	128	8	followings	following	NOUN
cana-6244	128	9	:	:	PUNCT
cana-6244	128	10	wx	wx	X
cana-6244	128	11	=	=	SYM
cana-6244	128	12	2	2	NUM
cana-6244	128	13	hx	hx	NOUN
cana-6244	128	14	h	h	NOUN
cana-6244	128	15	,	,	PUNCT
cana-6244	128	16	wxt	wxt	AUX
cana-6244	128	17	=	=	SYM
cana-6244	128	18	2	2	NUM
cana-6244	128	19	hhxt	hhxt	NOUN
cana-6244	128	20	−	−	PROPN
cana-6244	128	21	hxht	hxht	NOUN
cana-6244	128	22	h2	h2	NOUN
cana-6244	128	23	,	,	PUNCT
cana-6244	128	24	wxx	wxx	VERB
cana-6244	128	25	=	=	SYM
cana-6244	128	26	2	2	NUM
cana-6244	128	27	hhxx	hhxx	NOUN
cana-6244	128	28	−	−	PROPN
cana-6244	128	29	h2x	h2x	PROPN
cana-6244	128	30	h2	h2	PROPN
cana-6244	128	31	,	,	PUNCT
cana-6244	128	32	wxxx	wxxx	NOUN
cana-6244	128	33	=	=	SYM
cana-6244	128	34	2	2	NUM
cana-6244	128	35	2h3x	2h3x	NUM
cana-6244	129	1	−	−	PROPN
cana-6244	129	2	3hhxhxx	3hhxhxx	NUM
cana-6244	129	3	+	+	CCONJ
cana-6244	129	4	h2hxxx	h2hxxx	ADJ
cana-6244	129	5	h3	h3	NOUN
cana-6244	129	6	,	,	PUNCT
cana-6244	129	7	wxxxx	wxxxx	NOUN
cana-6244	129	8	=	=	SYM
cana-6244	129	9	2	2	NUM
cana-6244	129	10	−6h4x	−6h4x	NOUN
cana-6244	129	11	+	+	CCONJ
cana-6244	129	12	12hh2xhxx	12hh2xhxx	NUM
cana-6244	129	13	−	−	PROPN
cana-6244	129	14	3h2h2xx	3h2h2xx	NUM
cana-6244	129	15	−	−	NOUN
cana-6244	129	16	4hxh	4hxh	PROPN
cana-6244	129	17	2hxxx	2hxxx	NUM
cana-6244	129	18	h4	h4	NOUN
cana-6244	129	19	,	,	PUNCT
cana-6244	129	20	putting	put	VERB
cana-6244	129	21	all	all	DET
cana-6244	129	22	the	the	DET
cana-6244	129	23	above	above	ADJ
cana-6244	129	24	values	value	NOUN
cana-6244	129	25	in	in	ADP
cana-6244	129	26	equation	equation	NOUN
cana-6244	129	27	(	(	PUNCT
cana-6244	129	28	15	15	NUM
cana-6244	129	29	)	)	PUNCT
cana-6244	129	30	,	,	PUNCT
cana-6244	129	31	we	we	PRON
cana-6244	129	32	get	get	VERB
cana-6244	129	33	a	a	DET
cana-6244	129	34	quadratic	quadratic	ADJ
cana-6244	129	35	equation	equation	NOUN
cana-6244	129	36	in	in	ADP
cana-6244	129	37	h	h	NOUN
cana-6244	129	38	as	as	ADP
cana-6244	129	39	−2	−2	PROPN
cana-6244	129	40	hxht	hxht	NOUN
cana-6244	129	41	h2	h2	NOUN
cana-6244	129	42	+	+	CCONJ
cana-6244	129	43	2	2	NUM
cana-6244	129	44	hxt	hxt	NOUN
cana-6244	129	45	h	h	NOUN
cana-6244	130	1	+	+	CCONJ
cana-6244	131	1	6	6	NUM
cana-6244	131	2	h2xx	h2xx	NOUN
cana-6244	131	3	h2	h2	NOUN
cana-6244	131	4	−	−	PROPN
cana-6244	131	5	8	8	NUM
cana-6244	131	6	hxhxxx	hxhxxx	NOUN
cana-6244	131	7	h2	h2	NOUN
cana-6244	131	8	+	+	CCONJ
cana-6244	131	9	2	2	NUM
cana-6244	131	10	hxxxx	hxxxx	ADJ
cana-6244	131	11	h	h	NOUN
cana-6244	131	12	=	=	SYM
cana-6244	131	13	0	0	NUM
cana-6244	131	14	,	,	PUNCT
cana-6244	131	15	or	or	CCONJ
cana-6244	131	16	hhxt	hhxt	NOUN
cana-6244	131	17	−	−	NOUN
cana-6244	131	18	hxht	hxht	NOUN
cana-6244	131	19	+	+	CCONJ
cana-6244	131	20	3h2xx	3h2xx	NUM
cana-6244	131	21	−	−	PROPN
cana-6244	131	22	4hxhxxx	4hxhxxx	NUM
cana-6244	131	23	+	+	NUM
cana-6244	131	24	hhxxxx	hhxxxx	NOUN
cana-6244	131	25	=	=	SYM
cana-6244	131	26	0	0	NUM
cana-6244	131	27	,	,	PUNCT
cana-6244	131	28	(	(	PUNCT
cana-6244	131	29	16	16	NUM
cana-6244	131	30	)	)	PUNCT
cana-6244	131	31	since	since	SCONJ
cana-6244	131	32	hirota	hirota	PROPN
cana-6244	131	33	bilinear	bilinear	NOUN
cana-6244	131	34	operator	operator	NOUN
cana-6244	131	35	is	be	AUX
cana-6244	131	36	defined	define	VERB
cana-6244	131	37	as	as	ADP
cana-6244	131	38	dp	dp	NOUN
cana-6244	131	39	ad	ad	NOUN
cana-6244	131	40	q	q	PROPN
cana-6244	131	41	b(h	b(h	PROPN
cana-6244	131	42	,	,	PUNCT
cana-6244	131	43	k	k	NOUN
cana-6244	131	44	)	)	PUNCT
cana-6244	131	45	=	=	SYM
cana-6244	131	46	lim	lim	PROPN
cana-6244	131	47	a′→a	a′→a	PROPN
cana-6244	131	48	,	,	PUNCT
cana-6244	131	49	b′→b	b′→b	PROPN
cana-6244	131	50	(	(	PUNCT
cana-6244	131	51	∂	∂	NOUN
cana-6244	132	1	∂a	∂a	CCONJ
cana-6244	132	2	−	−	PROPN
cana-6244	132	3	∂	∂	NUM
cana-6244	132	4	∂a′	∂a′	NOUN
cana-6244	132	5	)	)	PUNCT
cana-6244	133	1	p	p	X
cana-6244	133	2	(	(	PUNCT
cana-6244	133	3	∂	∂	NOUN
cana-6244	133	4	∂b	∂b	PROPN
cana-6244	133	5	−	−	PROPN
cana-6244	133	6	∂	∂	NOUN
cana-6244	133	7	∂b′	∂b′	NOUN
cana-6244	133	8	)	)	PUNCT
cana-6244	133	9	q	q	PROPN
cana-6244	134	1	h(a	h(a	PROPN
cana-6244	134	2	,	,	PUNCT
cana-6244	134	3	b)k(a′	b)k(a′	NOUN
cana-6244	134	4	,	,	PUNCT
cana-6244	134	5	b′	b′	NUM
cana-6244	134	6	)	)	PUNCT
cana-6244	134	7	.	.	PUNCT
cana-6244	135	1	let	let	VERB
cana-6244	135	2	p	p	NOUN
cana-6244	135	3	=	=	NOUN
cana-6244	135	4	1	1	NUM
cana-6244	135	5	and	and	CCONJ
cana-6244	135	6	q	q	ADJ
cana-6244	135	7	then=	then=	NUM
cana-6244	135	8	1	1	NUM
cana-6244	135	9	,	,	PUNCT
cana-6244	135	10	dxdt(h.k	dxdt(h.k	NOUN
cana-6244	135	11	)	)	PUNCT
cana-6244	135	12	=	=	SYM
cana-6244	136	1	hxtk	hxtk	ADV
cana-6244	136	2	−	−	PROPN
cana-6244	136	3	htkx	htkx	NOUN
cana-6244	136	4	−	−	PROPN
cana-6244	136	5	hxkt	hxkt	NOUN
cana-6244	136	6	+	+	CCONJ
cana-6244	136	7	hkxt	hkxt	NOUN
cana-6244	136	8	,	,	PUNCT
cana-6244	136	9	dxdt(h.h	dxdt(h.h	PROPN
cana-6244	136	10	)	)	PUNCT
cana-6244	136	11	=	=	SYM
cana-6244	136	12	2	2	NUM
cana-6244	136	13	(	(	PUNCT
cana-6244	136	14	hhxt	hhxt	NOUN
cana-6244	136	15	−	−	PROPN
cana-6244	136	16	hxht	hxht	NOUN
cana-6244	136	17	)	)	PUNCT
cana-6244	136	18	let	let	VERB
cana-6244	136	19	p	p	NOUN
cana-6244	136	20	=	=	NOUN
cana-6244	136	21	4	4	NUM
cana-6244	136	22	and	and	CCONJ
cana-6244	136	23	q	q	ADJ
cana-6244	136	24	then=	then=	NUM
cana-6244	136	25	0	0	NUM
cana-6244	136	26	,	,	PUNCT
cana-6244	136	27	d4	d4	PROPN
cana-6244	136	28	x(h.k	x(h.k	PROPN
cana-6244	136	29	)	)	PUNCT
cana-6244	137	1	=	=	PRON
cana-6244	137	2	hxxxxk	hxxxxk	VERB
cana-6244	137	3	−	−	PROPN
cana-6244	137	4	4.hxxxkx	4.hxxxkx	NUM
cana-6244	138	1	+	+	CCONJ
cana-6244	139	1	6.hxxkxx	6.hxxkxx	NUM
cana-6244	139	2	−	−	PROPN
cana-6244	139	3	4.hxkxxx	4.hxkxxx	NUM
cana-6244	139	4	+	+	CCONJ
cana-6244	139	5	hkxxxx	hkxxxx	ADJ
cana-6244	139	6	d4	d4	PROPN
cana-6244	139	7	x(h.h	x(h.h	PROPN
cana-6244	139	8	)	)	PUNCT
cana-6244	140	1	=	=	SYM
cana-6244	140	2	2	2	NUM
cana-6244	140	3	(	(	PUNCT
cana-6244	140	4	3h2xx	3h2xx	NUM
cana-6244	140	5	−	−	PROPN
cana-6244	140	6	4hxhxxx	4hxhxxx	NUM
cana-6244	140	7	+	+	NUM
cana-6244	140	8	hhxxxx	hhxxxx	ADJ
cana-6244	140	9	)	)	PUNCT
cana-6244	140	10	equation	equation	NOUN
cana-6244	140	11	(	(	PUNCT
cana-6244	140	12	16	16	NUM
cana-6244	140	13	)	)	PUNCT
cana-6244	140	14	can	can	AUX
cana-6244	140	15	be	be	AUX
cana-6244	140	16	rewritten	rewrite	VERB
cana-6244	140	17	in	in	ADP
cana-6244	140	18	terms	term	NOUN
cana-6244	140	19	of	of	ADP
cana-6244	140	20	the	the	DET
cana-6244	140	21	hirota	hirota	PROPN
cana-6244	140	22	d	d	PROPN
cana-6244	140	23	operator	operator	NOUN
cana-6244	140	24	as	as	ADP
cana-6244	140	25	(	(	PUNCT
cana-6244	140	26	dxdt	dxdt	NOUN
cana-6244	140	27	+	+	PROPN
cana-6244	140	28	d4	d4	PROPN
cana-6244	140	29	x)h.h	x)h.h	NOUN
cana-6244	141	1	(	(	PUNCT
cana-6244	141	2	17)=	17)=	NUM
cana-6244	141	3	0	0	PUNCT
cana-6244	141	4	this	this	DET
cana-6244	141	5	equation	equation	NOUN
cana-6244	141	6	(	(	PUNCT
cana-6244	141	7	17	17	NUM
cana-6244	141	8	)	)	PUNCT
cana-6244	141	9	is	be	AUX
cana-6244	141	10	called	call	VERB
cana-6244	141	11	the	the	DET
cana-6244	141	12	hirota	hirota	PROPN
cana-6244	141	13	bilinear	bilinear	NOUN
cana-6244	141	14	form	form	NOUN
cana-6244	141	15	for	for	ADP
cana-6244	141	16	kdv	kdv	NOUN
cana-6244	141	17	equation	equation	NOUN
cana-6244	141	18	(	(	PUNCT
cana-6244	141	19	7	7	NUM
cana-6244	141	20	)	)	PUNCT
cana-6244	141	21	.	.	PUNCT
cana-6244	142	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	142	2	1217	1217	NUM
cana-6244	142	3	communications	communication	NOUN
cana-6244	142	4	on	on	ADP
cana-6244	142	5	applied	apply	VERB
cana-6244	142	6	nonlinear	nonlinear	ADJ
cana-6244	142	7	analysis	analysis	NOUN
cana-6244	142	8	issn	issn	NOUN
cana-6244	142	9	:	:	PUNCT
cana-6244	142	10	1074	1074	NUM
cana-6244	142	11	-	-	PUNCT
cana-6244	142	12	133x	133x	NUM
cana-6244	142	13	vol	vol	NOUN
cana-6244	142	14	31	31	NUM
cana-6244	142	15	no	no	NOUN
cana-6244	142	16	.	.	PUNCT
cana-6244	143	1	8s	8s	PROPN
cana-6244	143	2	(	(	PUNCT
cana-6244	143	3	2024	2024	NUM
cana-6244	143	4	)	)	PUNCT
cana-6244	143	5	3.2	3.2	NUM
cana-6244	143	6	boussinesq	boussinesq	NOUN
cana-6244	143	7	equation	equation	NOUN
cana-6244	143	8	in	in	ADP
cana-6244	143	9	(	(	PUNCT
cana-6244	143	10	1	1	NUM
cana-6244	143	11	+	+	NOUN
cana-6244	143	12	1)-dimensions	1)-dimensions	NUM
cana-6244	143	13	the	the	DET
cana-6244	143	14	integrable	integrable	ADJ
cana-6244	143	15	boussinesq	boussinesq	ADJ
cana-6244	143	16	equation	equation	NOUN
cana-6244	143	17	[	[	X
cana-6244	143	18	23	23	NUM
cana-6244	143	19	]	]	PUNCT
cana-6244	143	20	is	be	AUX
cana-6244	143	21	structured	structure	VERB
cana-6244	143	22	as	as	ADP
cana-6244	143	23	utt	utt	NOUN
cana-6244	143	24	−	−	PROPN
cana-6244	143	25	3(u2)xx	3(u2)xx	NUM
cana-6244	143	26	−	−	PROPN
cana-6244	143	27	uxx	uxx	PROPN
cana-6244	143	28	−	−	PROPN
cana-6244	143	29	uxxx	uxxx	PROPN
cana-6244	143	30	=	=	NOUN
cana-6244	143	31	0	0	PROPN
cana-6244	143	32	.	.	PUNCT
cana-6244	144	1	(	(	PUNCT
cana-6244	144	2	18	18	NUM
cana-6244	144	3	)	)	PUNCT
cana-6244	144	4	to	to	PART
cana-6244	144	5	investigate	investigate	VERB
cana-6244	144	6	the	the	DET
cana-6244	144	7	dispersion	dispersion	NOUN
cana-6244	144	8	relation	relation	NOUN
cana-6244	144	9	for	for	ADP
cana-6244	144	10	eq	eq	PROPN
cana-6244	144	11	.	.	PUNCT
cana-6244	145	1	(	(	PUNCT
cana-6244	145	2	18	18	NUM
cana-6244	145	3	)	)	PUNCT
cana-6244	145	4	,	,	PUNCT
cana-6244	145	5	we	we	PRON
cana-6244	145	6	introduce	introduce	VERB
cana-6244	145	7	the	the	DET
cana-6244	145	8	phase	phase	NOUN
cana-6244	145	9	variable	variable	NOUN
cana-6244	145	10	ξi	ξi	NOUN
cana-6244	145	11	=	=	SYM
cana-6244	145	12	µix+	µix+	PROPN
cana-6244	145	13	dit	dit	PROPN
cana-6244	145	14	,	,	PUNCT
cana-6244	145	15	(	(	PUNCT
cana-6244	145	16	19	19	NUM
cana-6244	145	17	)	)	PUNCT
cana-6244	145	18	where	where	SCONJ
cana-6244	145	19	µi	µi	PROPN
cana-6244	145	20	(	(	PUNCT
cana-6244	145	21	i	i	NOUN
cana-6244	145	22	=	=	NOUN
cana-6244	145	23	1	1	NUM
cana-6244	145	24	,	,	PUNCT
cana-6244	145	25	2	2	NUM
cana-6244	145	26	,	,	PUNCT
cana-6244	145	27	.	.	PUNCT
cana-6244	145	28	.	.	PUNCT
cana-6244	145	29	.	.	PUNCT
cana-6244	145	30	)	)	PUNCT
cana-6244	145	31	are	be	AUX
cana-6244	145	32	constants	constant	NOUN
cana-6244	145	33	and	and	CCONJ
cana-6244	145	34	di	di	NOUN
cana-6244	145	35	is	be	AUX
cana-6244	145	36	the	the	DET
cana-6244	145	37	dispersion	dispersion	NOUN
cana-6244	145	38	parameter	parameter	NOUN
cana-6244	145	39	.	.	PUNCT
cana-6244	146	1	substituting	substitute	VERB
cana-6244	146	2	the	the	DET
cana-6244	146	3	trial	trial	NOUN
cana-6244	146	4	solution	solution	NOUN
cana-6244	146	5	u	u	NOUN
cana-6244	146	6	=	=	NOUN
cana-6244	146	7	eξi	eξi	PROPN
cana-6244	146	8	into	into	ADP
cana-6244	146	9	the	the	DET
cana-6244	146	10	linear	linear	ADJ
cana-6244	146	11	part	part	NOUN
cana-6244	146	12	of	of	ADP
cana-6244	146	13	eq	eq	PROPN
cana-6244	146	14	.	.	PUNCT
cana-6244	147	1	(	(	PUNCT
cana-6244	147	2	18	18	NUM
cana-6244	147	3	)	)	PUNCT
cana-6244	147	4	,	,	PUNCT
cana-6244	147	5	namely	namely	ADV
cana-6244	147	6	utt	utt	ADJ
cana-6244	147	7	−	−	PROPN
cana-6244	147	8	uxx	uxx	NOUN
cana-6244	148	1	−	−	PROPN
cana-6244	148	2	uxxx	uxxx	PROPN
cana-6244	148	3	=	=	SYM
cana-6244	148	4	0	0	NUM
cana-6244	148	5	,	,	PUNCT
cana-6244	148	6	leads	lead	VERB
cana-6244	148	7	to	to	ADP
cana-6244	148	8	the	the	DET
cana-6244	148	9	relation	relation	NOUN
cana-6244	148	10	di	di	X
cana-6244	148	11	=	=	PUNCT
cana-6244	148	12	√	√	PROPN
cana-6244	148	13	µ2i	µ2i	ADJ
cana-6244	148	14	+	+	CCONJ
cana-6244	148	15	µ4i	µ4i	NOUN
cana-6244	148	16	.	.	PUNCT
cana-6244	149	1	thus	thus	ADV
cana-6244	149	2	,	,	PUNCT
cana-6244	149	3	the	the	DET
cana-6244	149	4	phase	phase	NOUN
cana-6244	149	5	variable	variable	NOUN
cana-6244	149	6	becomes	become	VERB
cana-6244	149	7	ξi	ξi	NOUN
cana-6244	149	8	=	=	PUNCT
cana-6244	150	1	µix+	µix+	ADP
cana-6244	150	2	√	√	ADJ
cana-6244	150	3	µ4i	µ4i	NOUN
cana-6244	150	4	+	+	CCONJ
cana-6244	150	5	µ2i	µ2i	AUX
cana-6244	150	6	t.	t.	NOUN
cana-6244	150	7	next	next	ADV
cana-6244	150	8	,	,	PUNCT
cana-6244	150	9	we	we	PRON
cana-6244	150	10	apply	apply	VERB
cana-6244	150	11	a	a	DET
cana-6244	150	12	logarithmic	logarithmic	ADJ
cana-6244	150	13	-	-	PUNCT
cana-6244	150	14	type	type	NOUN
cana-6244	150	15	transformation	transformation	NOUN
cana-6244	150	16	of	of	ADP
cana-6244	150	17	the	the	DET
cana-6244	150	18	dependent	dependent	ADJ
cana-6244	150	19	variable	variable	NOUN
cana-6244	150	20	:	:	PUNCT
cana-6244	150	21	u	u	NOUN
cana-6244	150	22	=	=	PROPN
cana-6244	150	23	k(lnh)xx	k(lnh)xx	PROPN
cana-6244	150	24	,	,	PUNCT
cana-6244	150	25	(	(	PUNCT
cana-6244	150	26	20	20	NUM
cana-6244	150	27	)	)	PUNCT
cana-6244	150	28	which	which	PRON
cana-6244	150	29	may	may	AUX
cana-6244	150	30	be	be	AUX
cana-6244	150	31	equivalently	equivalently	ADV
cana-6244	150	32	expressed	express	VERB
cana-6244	150	33	as	as	ADP
cana-6244	150	34	u	u	NOUN
cana-6244	150	35	=	=	PROPN
cana-6244	150	36	wxx	wxx	PROPN
cana-6244	150	37	,	,	PUNCT
cana-6244	150	38	where	where	SCONJ
cana-6244	150	39	w	w	PROPN
cana-6244	150	40	=	=	SYM
cana-6244	150	41	k(lnh	k(lnh	PROPN
cana-6244	150	42	)	)	PUNCT
cana-6244	150	43	.	.	PUNCT
cana-6244	151	1	(	(	PUNCT
cana-6244	151	2	21	21	NUM
cana-6244	151	3	)	)	PUNCT
cana-6244	151	4	choosing	choose	VERB
cana-6244	151	5	the	the	DET
cana-6244	151	6	function	function	NOUN
cana-6244	151	7	h	h	NOUN
cana-6244	151	8	as	as	ADP
cana-6244	151	9	h	h	NOUN
cana-6244	151	10	=	=	NOUN
cana-6244	151	11	1	1	NUM
cana-6244	151	12	+	+	CCONJ
cana-6244	151	13	eξ1	eξ1	NOUN
cana-6244	151	14	,	,	PUNCT
cana-6244	151	15	with	with	ADP
cana-6244	151	16	ξ1	ξ1	NOUN
cana-6244	151	17	=	=	SYM
cana-6244	151	18	µ1x+	µ1x+	NOUN
cana-6244	151	19	√	√	VERB
cana-6244	151	20	µ21	µ21	NOUN
cana-6244	151	21	+	+	NUM
cana-6244	151	22	µ41	µ41	NOUN
cana-6244	151	23	t	t	NOUN
cana-6244	151	24	,	,	PUNCT
cana-6244	151	25	and	and	CCONJ
cana-6244	151	26	substituting	substitute	VERB
cana-6244	151	27	into	into	ADP
cana-6244	151	28	eq	eq	NOUN
cana-6244	151	29	.	.	PUNCT
cana-6244	152	1	(	(	PUNCT
cana-6244	152	2	18	18	NUM
cana-6244	152	3	)	)	PUNCT
cana-6244	152	4	,	,	PUNCT
cana-6244	152	5	we	we	PRON
cana-6244	152	6	obtain	obtain	VERB
cana-6244	152	7	k	k	NOUN
cana-6244	152	8	=	=	NOUN
cana-6244	152	9	2	2	X
cana-6244	152	10	.	.	PUNCT
cana-6244	153	1	hence	hence	ADV
cana-6244	153	2	,	,	PUNCT
cana-6244	153	3	the	the	DET
cana-6244	153	4	transformation	transformation	NOUN
cana-6244	153	5	(	(	PUNCT
cana-6244	153	6	20	20	NUM
cana-6244	153	7	)	)	PUNCT
cana-6244	153	8	simplifies	simplifie	NOUN
cana-6244	153	9	to	to	ADP
cana-6244	153	10	u(x	u(x	NOUN
cana-6244	153	11	,	,	PUNCT
cana-6244	153	12	t	t	PROPN
cana-6244	153	13	)	)	PUNCT
cana-6244	153	14	=	=	PUNCT
cana-6244	153	15	2(lnh)xx	2(lnh)xx	NUM
cana-6244	153	16	.	.	PUNCT
cana-6244	154	1	now	now	ADV
cana-6244	154	2	,	,	PUNCT
cana-6244	154	3	from	from	ADP
cana-6244	154	4	(	(	PUNCT
cana-6244	154	5	21	21	NUM
cana-6244	154	6	)	)	PUNCT
cana-6244	154	7	,	,	PUNCT
cana-6244	154	8	we	we	PRON
cana-6244	154	9	have	have	VERB
cana-6244	154	10	utt	utt	ADJ
cana-6244	154	11	=	=	SYM
cana-6244	154	12	wxxtt	wxxtt	NOUN
cana-6244	154	13	,	,	PUNCT
cana-6244	154	14	uxx	uxx	X
cana-6244	154	15	=	=	SYM
cana-6244	154	16	wxxxx	wxxxx	NOUN
cana-6244	154	17	and	and	CCONJ
cana-6244	154	18	uxxx	uxxx	PROPN
cana-6244	154	19	=	=	SYM
cana-6244	154	20	wxxxxx	wxxxxx	PROPN
cana-6244	154	21	putting	put	VERB
cana-6244	154	22	the	the	DET
cana-6244	154	23	above	above	ADJ
cana-6244	154	24	expressions	expression	NOUN
cana-6244	154	25	into	into	ADP
cana-6244	154	26	eq.(18	eq.(18	NOUN
cana-6244	154	27	)	)	PUNCT
cana-6244	154	28	,	,	PUNCT
cana-6244	154	29	we	we	PRON
cana-6244	154	30	get	get	VERB
cana-6244	154	31	wxxtt	wxxtt	NOUN
cana-6244	154	32	+	+	CCONJ
cana-6244	154	33	wxxxx	wxxxx	NOUN
cana-6244	154	34	−	−	PROPN
cana-6244	154	35	3	3	NUM
cana-6244	154	36	(	(	PUNCT
cana-6244	154	37	w2	w2	NOUN
cana-6244	154	38	xx)xx	xx)xx	PROPN
cana-6244	154	39	−	−	PROPN
cana-6244	154	40	wxxxxx	wxxxxx	PROPN
cana-6244	154	41	(	(	PUNCT
cana-6244	154	42	22)=	22)=	NUM
cana-6244	154	43	0	0	NUM
cana-6244	154	44	on	on	ADP
cana-6244	154	45	integrating	integrate	VERB
cana-6244	154	46	w.r.t	w.r.t	NOUN
cana-6244	154	47	.	.	PUNCT
cana-6244	155	1	x	x	X
cana-6244	155	2	wxtt	wxtt	NOUN
cana-6244	155	3	+	+	CCONJ
cana-6244	155	4	wxxx	wxxx	ADJ
cana-6244	155	5	−	−	PROPN
cana-6244	155	6	3	3	NUM
cana-6244	155	7	(	(	PUNCT
cana-6244	155	8	w2	w2	NOUN
cana-6244	155	9	xx)x	xx)x	PROPN
cana-6244	155	10	−	−	PROPN
cana-6244	155	11	wxxxx	wxxxx	NOUN
cana-6244	155	12	(	(	PUNCT
cana-6244	155	13	23)=	23)=	NOUN
cana-6244	155	14	0	0	NUM
cana-6244	155	15	on	on	ADP
cana-6244	155	16	again	again	ADV
cana-6244	155	17	integrating	integrate	VERB
cana-6244	155	18	w.r.t	w.r.t	NOUN
cana-6244	155	19	.	.	PUNCT
cana-6244	156	1	x	x	X
cana-6244	157	1	wtt	wtt	PROPN
cana-6244	158	1	+	+	PROPN
cana-6244	158	2	wxx	wxx	VERB
cana-6244	158	3	−	−	PROPN
cana-6244	158	4	3	3	NUM
cana-6244	158	5	(	(	PUNCT
cana-6244	158	6	w2	w2	NOUN
cana-6244	158	7	xx	xx	PROPN
cana-6244	158	8	)	)	PUNCT
cana-6244	158	9	−	−	PROPN
cana-6244	159	1	wxxx	wxxx	NOUN
cana-6244	159	2	(	(	PUNCT
cana-6244	159	3	24)=	24)=	NUM
cana-6244	159	4	0	0	PUNCT
cana-6244	160	1	as	as	SCONJ
cana-6244	160	2	we	we	PRON
cana-6244	160	3	have	have	VERB
cana-6244	160	4	w	w	NOUN
cana-6244	160	5	=	=	SYM
cana-6244	160	6	2(log	2(log	NUM
cana-6244	160	7	h	h	NOUN
cana-6244	160	8	)	)	PUNCT
cana-6244	160	9	,	,	PUNCT
cana-6244	160	10	we	we	PRON
cana-6244	160	11	can	can	AUX
cana-6244	160	12	get	get	VERB
cana-6244	160	13	the	the	DET
cana-6244	160	14	followings	following	NOUN
cana-6244	160	15	:	:	PUNCT
cana-6244	160	16	wx	wx	X
cana-6244	160	17	=	=	SYM
cana-6244	160	18	2	2	NUM
cana-6244	160	19	hx	hx	NOUN
cana-6244	160	20	h	h	NOUN
cana-6244	160	21	,	,	PUNCT
cana-6244	160	22	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	160	23	1218	1218	NUM
cana-6244	160	24	communications	communication	NOUN
cana-6244	160	25	on	on	ADP
cana-6244	160	26	applied	apply	VERB
cana-6244	160	27	nonlinear	nonlinear	ADJ
cana-6244	160	28	analysis	analysis	NOUN
cana-6244	160	29	issn	issn	NOUN
cana-6244	160	30	:	:	PUNCT
cana-6244	160	31	1074	1074	NUM
cana-6244	160	32	-	-	PUNCT
cana-6244	160	33	133x	133x	NUM
cana-6244	160	34	vol	vol	NOUN
cana-6244	160	35	31	31	NUM
cana-6244	160	36	no	no	NOUN
cana-6244	160	37	.	.	PUNCT
cana-6244	161	1	8s	8s	PROPN
cana-6244	161	2	(	(	PUNCT
cana-6244	161	3	2024	2024	NUM
cana-6244	161	4	)	)	PUNCT
cana-6244	161	5	wxx	wxx	VERB
cana-6244	161	6	=	=	SYM
cana-6244	161	7	2	2	NUM
cana-6244	161	8	hhxx	hhxx	NOUN
cana-6244	161	9	−	−	PROPN
cana-6244	161	10	h2x	h2x	PROPN
cana-6244	161	11	h2	h2	PROPN
cana-6244	161	12	,	,	PUNCT
cana-6244	161	13	wxxx	wxxx	NOUN
cana-6244	161	14	=	=	SYM
cana-6244	162	1	2	2	NUM
cana-6244	162	2	2h3x	2h3x	NUM
cana-6244	162	3	−	−	PROPN
cana-6244	162	4	3hhxhxx	3hhxhxx	NUM
cana-6244	162	5	+	+	CCONJ
cana-6244	162	6	h2hxxx	h2hxxx	ADJ
cana-6244	162	7	h3	h3	NOUN
cana-6244	162	8	,	,	PUNCT
cana-6244	162	9	wtt	wtt	PROPN
cana-6244	162	10	=	=	SYM
cana-6244	162	11	2	2	NUM
cana-6244	162	12	hhtt	hhtt	NOUN
cana-6244	162	13	−	−	PROPN
cana-6244	162	14	h2	h2	PROPN
cana-6244	162	15	t	t	PROPN
cana-6244	162	16	h2	h2	PROPN
cana-6244	162	17	,	,	PUNCT
cana-6244	162	18	which	which	PRON
cana-6244	162	19	changes	change	VERB
cana-6244	162	20	eq.(18	eq.(18	NOUN
cana-6244	162	21	)	)	PUNCT
cana-6244	162	22	into	into	ADP
cana-6244	162	23	a	a	DET
cana-6244	162	24	bilinear	bilinear	NOUN
cana-6244	162	25	equation	equation	NOUN
cana-6244	162	26	in	in	ADP
cana-6244	162	27	h	h	NOUN
cana-6244	162	28	as	as	ADP
cana-6244	162	29	hhtt	hhtt	PROPN
cana-6244	162	30	−	−	PROPN
cana-6244	162	31	h2	h2	PROPN
cana-6244	162	32	t	t	PROPN
cana-6244	162	33	−	−	PROPN
cana-6244	162	34	hhxx	hhxx	PROPN
cana-6244	162	35	+	+	CCONJ
cana-6244	163	1	h2x	h2x	PROPN
cana-6244	163	2	−	−	PROPN
cana-6244	163	3	hhxxxx	hhxxxx	NOUN
cana-6244	163	4	+	+	CCONJ
cana-6244	163	5	4hxhxxx	4hxhxxx	NUM
cana-6244	163	6	−	−	NOUN
cana-6244	163	7	3h2xx	3h2xx	NUM
cana-6244	163	8	(	(	PUNCT
cana-6244	163	9	25)=	25)=	NOUN
cana-6244	163	10	0	0	NUM
cana-6244	163	11	since	since	SCONJ
cana-6244	163	12	hirota	hirota	PROPN
cana-6244	163	13	bilinear	bilinear	NOUN
cana-6244	163	14	operator	operator	NOUN
cana-6244	163	15	is	be	AUX
cana-6244	163	16	defined	define	VERB
cana-6244	163	17	as	as	ADP
cana-6244	163	18	dp	dp	NOUN
cana-6244	163	19	ad	ad	NOUN
cana-6244	163	20	q	q	PROPN
cana-6244	163	21	b(h	b(h	PROPN
cana-6244	163	22	,	,	PUNCT
cana-6244	163	23	k	k	NOUN
cana-6244	163	24	)	)	PUNCT
cana-6244	163	25	=	=	SYM
cana-6244	163	26	lim	lim	PROPN
cana-6244	163	27	a′→a	a′→a	PROPN
cana-6244	163	28	,	,	PUNCT
cana-6244	163	29	b′→b	b′→b	PROPN
cana-6244	163	30	(	(	PUNCT
cana-6244	163	31	∂	∂	NOUN
cana-6244	163	32	∂a	∂a	CCONJ
cana-6244	163	33	−	−	PROPN
cana-6244	163	34	∂	∂	NUM
cana-6244	163	35	∂a′	∂a′	NOUN
cana-6244	163	36	)	)	PUNCT
cana-6244	163	37	p	p	X
cana-6244	163	38	(	(	PUNCT
cana-6244	163	39	∂	∂	NOUN
cana-6244	163	40	∂b	∂b	PROPN
cana-6244	163	41	−	−	PROPN
cana-6244	163	42	∂	∂	NOUN
cana-6244	163	43	∂b′	∂b′	NOUN
cana-6244	163	44	)	)	PUNCT
cana-6244	163	45	q	q	PROPN
cana-6244	164	1	h(a	h(a	PROPN
cana-6244	164	2	,	,	PUNCT
cana-6244	164	3	b)k(a′	b)k(a′	NOUN
cana-6244	164	4	,	,	PUNCT
cana-6244	164	5	b′	b′	NUM
cana-6244	164	6	)	)	PUNCT
cana-6244	164	7	.	.	PUNCT
cana-6244	165	1	let	let	VERB
cana-6244	165	2	p	p	NOUN
cana-6244	165	3	=	=	NOUN
cana-6244	165	4	0	0	PROPN
cana-6244	165	5	and	and	CCONJ
cana-6244	165	6	q	q	ADJ
cana-6244	165	7	then=	then=	NUM
cana-6244	165	8	2	2	NUM
cana-6244	165	9	,	,	PUNCT
cana-6244	165	10	d2	d2	PROPN
cana-6244	165	11	t	t	PROPN
cana-6244	165	12	(	(	PUNCT
cana-6244	165	13	h.k	h.k	PROPN
cana-6244	165	14	)	)	PUNCT
cana-6244	165	15	=	=	SYM
cana-6244	165	16	httk	httk	NOUN
cana-6244	165	17	−	−	PROPN
cana-6244	165	18	2htkt	2htkt	NUM
cana-6244	165	19	+	+	CCONJ
cana-6244	165	20	hktt	hktt	NOUN
cana-6244	165	21	,	,	PUNCT
cana-6244	165	22	d2	d2	PROPN
cana-6244	165	23	t	t	PROPN
cana-6244	165	24	(	(	PUNCT
cana-6244	165	25	h.h	h.h	PROPN
cana-6244	165	26	)	)	PUNCT
cana-6244	165	27	=	=	SYM
cana-6244	165	28	2	2	NUM
cana-6244	165	29	(	(	PUNCT
cana-6244	165	30	hhtt	hhtt	NOUN
cana-6244	165	31	−	−	PROPN
cana-6244	165	32	h2	h2	PROPN
cana-6244	165	33	t	t	PROPN
cana-6244	165	34	)	)	PUNCT
cana-6244	165	35	let	let	VERB
cana-6244	165	36	p	p	NOUN
cana-6244	165	37	=	=	NOUN
cana-6244	165	38	2	2	NUM
cana-6244	165	39	and	and	CCONJ
cana-6244	165	40	q	q	ADJ
cana-6244	165	41	then=	then=	NUM
cana-6244	165	42	0	0	NUM
cana-6244	165	43	,	,	PUNCT
cana-6244	165	44	d2	d2	PROPN
cana-6244	165	45	x(h.k	x(h.k	PROPN
cana-6244	165	46	)	)	PUNCT
cana-6244	166	1	=	=	NOUN
cana-6244	166	2	hxxk	hxxk	NOUN
cana-6244	166	3	−	−	PROPN
cana-6244	166	4	2hxkx	2hxkx	NUM
cana-6244	167	1	+	+	NUM
cana-6244	167	2	hkxx	hkxx	PROPN
cana-6244	167	3	,	,	PUNCT
cana-6244	167	4	d2	d2	PROPN
cana-6244	167	5	x(h.h	x(h.h	PROPN
cana-6244	167	6	)	)	PUNCT
cana-6244	168	1	=	=	SYM
cana-6244	168	2	2	2	NUM
cana-6244	168	3	(	(	PUNCT
cana-6244	168	4	hhxx	hhxx	NOUN
cana-6244	168	5	−	−	PROPN
cana-6244	168	6	h2x	h2x	PROPN
cana-6244	168	7	)	)	PUNCT
cana-6244	168	8	let	let	VERB
cana-6244	168	9	p	p	NOUN
cana-6244	168	10	=	=	NOUN
cana-6244	168	11	4	4	NUM
cana-6244	168	12	and	and	CCONJ
cana-6244	168	13	q	q	ADJ
cana-6244	168	14	then=	then=	NUM
cana-6244	168	15	0	0	NUM
cana-6244	168	16	,	,	PUNCT
cana-6244	168	17	d4	d4	PROPN
cana-6244	168	18	x(h.k	x(h.k	PROPN
cana-6244	168	19	)	)	PUNCT
cana-6244	169	1	=	=	PRON
cana-6244	169	2	hxxxxk	hxxxxk	VERB
cana-6244	169	3	−	−	PROPN
cana-6244	169	4	4.hxxxkx	4.hxxxkx	NUM
cana-6244	170	1	+	+	CCONJ
cana-6244	171	1	6.hxxkxx	6.hxxkxx	NUM
cana-6244	171	2	−	−	PROPN
cana-6244	171	3	4.hxkxxx	4.hxkxxx	NUM
cana-6244	171	4	+	+	CCONJ
cana-6244	171	5	hkxxxx	hkxxxx	ADJ
cana-6244	171	6	d4	d4	PROPN
cana-6244	171	7	x(h.h	x(h.h	PROPN
cana-6244	171	8	)	)	PUNCT
cana-6244	172	1	=	=	SYM
cana-6244	172	2	2	2	NUM
cana-6244	172	3	(	(	PUNCT
cana-6244	172	4	3.h2xx	3.h2xx	NOUN
cana-6244	172	5	−	−	PROPN
cana-6244	172	6	4.hxhxxx	4.hxhxxx	NUM
cana-6244	172	7	+	+	NUM
cana-6244	172	8	hhxxxx	hhxxxx	ADJ
cana-6244	172	9	)	)	PUNCT
cana-6244	172	10	equation	equation	NOUN
cana-6244	172	11	(	(	PUNCT
cana-6244	172	12	25	25	NUM
cana-6244	172	13	)	)	PUNCT
cana-6244	172	14	can	can	AUX
cana-6244	172	15	be	be	AUX
cana-6244	172	16	written	write	VERB
cana-6244	172	17	in	in	ADP
cana-6244	172	18	terms	term	NOUN
cana-6244	172	19	of	of	ADP
cana-6244	172	20	the	the	DET
cana-6244	172	21	operator	operator	NOUN
cana-6244	172	22	d	d	NOUN
cana-6244	172	23	as	as	ADP
cana-6244	172	24	(	(	PUNCT
cana-6244	172	25	d2	d2	PROPN
cana-6244	172	26	t	t	PROPN
cana-6244	173	1	−d2	−d2	NOUN
cana-6244	173	2	x	x	PUNCT
cana-6244	173	3	−d4	−d4	ADJ
cana-6244	173	4	x)h.h	x)h.h	NOUN
cana-6244	173	5	(	(	PUNCT
cana-6244	173	6	26)=	26)=	NUM
cana-6244	173	7	0	0	NUM
cana-6244	173	8	this	this	DET
cana-6244	173	9	equation	equation	NOUN
cana-6244	173	10	(	(	PUNCT
cana-6244	173	11	26	26	NUM
cana-6244	173	12	)	)	PUNCT
cana-6244	173	13	is	be	AUX
cana-6244	173	14	called	call	VERB
cana-6244	173	15	the	the	DET
cana-6244	173	16	hirota	hirota	PROPN
cana-6244	173	17	bilinear	bilinear	NOUN
cana-6244	173	18	form	form	NOUN
cana-6244	173	19	for	for	ADP
cana-6244	173	20	boussinesq	boussinesq	ADJ
cana-6244	173	21	equation	equation	NOUN
cana-6244	173	22	(	(	PUNCT
cana-6244	173	23	18	18	NUM
cana-6244	173	24	)	)	PUNCT
cana-6244	173	25	.	.	PUNCT
cana-6244	174	1	3.3	3.3	NUM
cana-6244	174	2	kp	kp	PROPN
cana-6244	174	3	equation	equation	NOUN
cana-6244	174	4	in	in	ADP
cana-6244	174	5	(	(	PUNCT
cana-6244	174	6	2	2	NUM
cana-6244	174	7	+	+	NOUN
cana-6244	174	8	1)-dimensions	1)-dimensions	NUM
cana-6244	174	9	the	the	DET
cana-6244	174	10	kp	kp	PROPN
cana-6244	174	11	equation	equation	NOUN
cana-6244	174	12	extends	extend	VERB
cana-6244	174	13	the	the	DET
cana-6244	174	14	kdv	kdv	NOUN
cana-6244	174	15	model	model	NOUN
cana-6244	174	16	,	,	PUNCT
cana-6244	174	17	which	which	PRON
cana-6244	174	18	was	be	AUX
cana-6244	174	19	originally	originally	ADV
cana-6244	174	20	formulated	formulate	VERB
cana-6244	174	21	in	in	ADP
cana-6244	174	22	two	two	NUM
cana-6244	174	23	dimensions	dimension	NOUN
cana-6244	174	24	[	[	X
cana-6244	174	25	24	24	NUM
cana-6244	174	26	]	]	PUNCT
cana-6244	174	27	.	.	PUNCT
cana-6244	175	1	its	its	PRON
cana-6244	175	2	mathematical	mathematical	ADJ
cana-6244	175	3	form	form	NOUN
cana-6244	175	4	is	be	AUX
cana-6244	175	5	(	(	PUNCT
cana-6244	175	6	ut	ut	PROPN
cana-6244	175	7	+	+	PROPN
cana-6244	175	8	6uux	6uux	NUM
cana-6244	175	9	+	+	CCONJ
cana-6244	175	10	uxxx)x	uxxx)x	ADJ
cana-6244	175	11	−	−	PROPN
cana-6244	176	1	uyy	uyy	PROPN
cana-6244	176	2	=	=	SYM
cana-6244	176	3	0	0	PROPN
cana-6244	176	4	,	,	PUNCT
cana-6244	176	5	(	(	PUNCT
cana-6244	176	6	27	27	NUM
cana-6244	176	7	)	)	PUNCT
cana-6244	176	8	where	where	SCONJ
cana-6244	176	9	x	x	PUNCT
cana-6244	176	10	and	and	CCONJ
cana-6244	176	11	y	y	PROPN
cana-6244	176	12	and	and	CCONJ
cana-6244	176	13	t	t	PROPN
cana-6244	176	14	are	be	AUX
cana-6244	176	15	spatial	spatial	ADJ
cana-6244	176	16	and	and	CCONJ
cana-6244	176	17	temporal	temporal	ADJ
cana-6244	176	18	variable	variable	NOUN
cana-6244	176	19	,	,	PUNCT
cana-6244	176	20	and	and	CCONJ
cana-6244	176	21	u	u	NOUN
cana-6244	176	22	represents	represent	VERB
cana-6244	176	23	the	the	DET
cana-6244	176	24	wave	wave	NOUN
cana-6244	176	25	amplitude	amplitude	NOUN
cana-6244	176	26	.	.	PUNCT
cana-6244	177	1	the	the	DET
cana-6244	177	2	kp	kp	PROPN
cana-6244	177	3	equation	equation	NOUN
cana-6244	177	4	is	be	AUX
cana-6244	177	5	a	a	DET
cana-6244	177	6	fundamental	fundamental	ADJ
cana-6244	177	7	model	model	NOUN
cana-6244	177	8	in	in	ADP
cana-6244	177	9	the	the	DET
cana-6244	177	10	theory	theory	NOUN
cana-6244	177	11	of	of	ADP
cana-6244	177	12	solitons	soliton	NOUN
cana-6244	177	13	and	and	CCONJ
cana-6244	177	14	integrable	integrable	ADJ
cana-6244	177	15	systems	system	NOUN
cana-6244	177	16	,	,	PUNCT
cana-6244	177	17	as	as	SCONJ
cana-6244	177	18	it	it	PRON
cana-6244	177	19	admits	admit	VERB
cana-6244	177	20	solutions	solution	NOUN
cana-6244	177	21	that	that	PRON
cana-6244	177	22	describe	describe	VERB
cana-6244	177	23	nonlinear	nonlinear	ADJ
cana-6244	177	24	wave	wave	NOUN
cana-6244	177	25	interactions	interaction	NOUN
cana-6244	177	26	in	in	ADP
cana-6244	177	27	two	two	NUM
cana-6244	177	28	dimensions	dimension	NOUN
cana-6244	177	29	.	.	PUNCT
cana-6244	178	1	similar	similar	ADJ
cana-6244	178	2	to	to	ADP
cana-6244	178	3	the	the	DET
cana-6244	178	4	kdv	kdv	NOUN
cana-6244	178	5	equation	equation	NOUN
cana-6244	178	6	,	,	PUNCT
cana-6244	178	7	it	it	PRON
cana-6244	178	8	supports	support	VERB
cana-6244	178	9	soliton	soliton	NOUN
cana-6244	178	10	solutions	solution	NOUN
cana-6244	178	11	;	;	PUNCT
cana-6244	178	12	however	however	ADV
cana-6244	178	13	,	,	PUNCT
cana-6244	178	14	owing	owe	VERB
cana-6244	178	15	to	to	ADP
cana-6244	178	16	its	its	PRON
cana-6244	178	17	higher	high	ADJ
cana-6244	178	18	dimensionality	dimensionality	NOUN
cana-6244	178	19	,	,	PUNCT
cana-6244	178	20	it	it	PRON
cana-6244	178	21	captures	capture	VERB
cana-6244	178	22	more	more	ADJ
cana-6244	178	23	intricate	intricate	ADJ
cana-6244	178	24	behaviors	behavior	NOUN
cana-6244	178	25	,	,	PUNCT
cana-6244	178	26	such	such	ADJ
cana-6244	178	27	as	as	ADP
cana-6244	178	28	two	two	NUM
cana-6244	178	29	-	-	PUNCT
cana-6244	178	30	soliton	soliton	NOUN
cana-6244	178	31	interactions	interaction	NOUN
cana-6244	178	32	with	with	ADP
cana-6244	178	33	nontrivial	nontrivial	ADJ
cana-6244	178	34	structures	structure	NOUN
cana-6244	178	35	.	.	PUNCT
cana-6244	179	1	applications	application	NOUN
cana-6244	179	2	of	of	ADP
cana-6244	179	3	the	the	DET
cana-6244	179	4	kp	kp	PROPN
cana-6244	179	5	equation	equation	NOUN
cana-6244	179	6	arise	arise	VERB
cana-6244	179	7	in	in	ADP
cana-6244	179	8	diverse	diverse	ADJ
cana-6244	179	9	areas	area	NOUN
cana-6244	179	10	,	,	PUNCT
cana-6244	179	11	including	include	VERB
cana-6244	179	12	oceanography	oceanography	NOUN
cana-6244	179	13	,	,	PUNCT
cana-6244	179	14	plasma	plasma	NOUN
cana-6244	179	15	physics	physics	NOUN
cana-6244	179	16	,	,	PUNCT
cana-6244	179	17	and	and	CCONJ
cana-6244	179	18	fluid	fluid	ADJ
cana-6244	179	19	mechanics	mechanic	NOUN
cana-6244	179	20	,	,	PUNCT
cana-6244	179	21	where	where	SCONJ
cana-6244	179	22	it	it	PRON
cana-6244	179	23	provides	provide	VERB
cana-6244	179	24	insight	insight	NOUN
cana-6244	179	25	into	into	ADP
cana-6244	179	26	multidimensional	multidimensional	ADJ
cana-6244	179	27	nonlinear	nonlinear	ADJ
cana-6244	179	28	wave	wave	NOUN
cana-6244	179	29	dynamics	dynamic	NOUN
cana-6244	179	30	.	.	PUNCT
cana-6244	180	1	for	for	ADP
cana-6244	180	2	the	the	DET
cana-6244	180	3	kp	kp	PROPN
cana-6244	180	4	equation	equation	NOUN
cana-6244	180	5	(	(	PUNCT
cana-6244	180	6	27	27	NUM
cana-6244	180	7	)	)	PUNCT
cana-6244	180	8	,	,	PUNCT
cana-6244	180	9	we	we	PRON
cana-6244	180	10	define	define	VERB
cana-6244	180	11	the	the	DET
cana-6244	180	12	phase	phase	NOUN
cana-6244	180	13	variable	variable	NOUN
cana-6244	180	14	as	as	ADP
cana-6244	180	15	ξi	ξi	NOUN
cana-6244	180	16	=	=	SYM
cana-6244	181	1	µix+	µix+	PROPN
cana-6244	181	2	viy	viy	VERB
cana-6244	181	3	−	−	PROPN
cana-6244	181	4	dit	dit	PROPN
cana-6244	181	5	,	,	PUNCT
cana-6244	181	6	(	(	PUNCT
cana-6244	181	7	28	28	NUM
cana-6244	181	8	)	)	PUNCT
cana-6244	181	9	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	181	10	1219	1219	NUM
cana-6244	181	11	communications	communication	NOUN
cana-6244	181	12	on	on	ADP
cana-6244	181	13	applied	apply	VERB
cana-6244	181	14	nonlinear	nonlinear	ADJ
cana-6244	181	15	analysis	analysis	NOUN
cana-6244	181	16	issn	issn	NOUN
cana-6244	181	17	:	:	PUNCT
cana-6244	181	18	1074	1074	NUM
cana-6244	181	19	-	-	PUNCT
cana-6244	181	20	133x	133x	NUM
cana-6244	181	21	vol	vol	NOUN
cana-6244	181	22	31	31	NUM
cana-6244	181	23	no	no	NOUN
cana-6244	181	24	.	.	PUNCT
cana-6244	182	1	8s	8s	PROPN
cana-6244	182	2	(	(	PUNCT
cana-6244	182	3	2024	2024	NUM
cana-6244	182	4	)	)	PUNCT
cana-6244	182	5	where	where	SCONJ
cana-6244	182	6	µi	µi	PROPN
cana-6244	182	7	,	,	PUNCT
cana-6244	182	8	vi	vi	PROPN
cana-6244	182	9	(	(	PUNCT
cana-6244	182	10	i	i	NOUN
cana-6244	182	11	=	=	NOUN
cana-6244	182	12	1	1	NUM
cana-6244	182	13	,	,	PUNCT
cana-6244	182	14	2	2	NUM
cana-6244	182	15	,	,	PUNCT
cana-6244	182	16	.	.	PUNCT
cana-6244	182	17	.	.	PUNCT
cana-6244	182	18	.	.	PUNCT
cana-6244	182	19	)	)	PUNCT
cana-6244	182	20	are	be	AUX
cana-6244	182	21	constants	constant	NOUN
cana-6244	182	22	,	,	PUNCT
cana-6244	182	23	and	and	CCONJ
cana-6244	182	24	di	di	NOUN
cana-6244	182	25	denotes	denote	VERB
cana-6244	182	26	the	the	DET
cana-6244	182	27	dispersion	dispersion	NOUN
cana-6244	182	28	parameter	parameter	NOUN
cana-6244	182	29	.	.	PUNCT
cana-6244	183	1	substituting	substitute	VERB
cana-6244	183	2	the	the	DET
cana-6244	183	3	trial	trial	NOUN
cana-6244	183	4	solution	solution	NOUN
cana-6244	183	5	u	u	NOUN
cana-6244	183	6	=	=	NOUN
cana-6244	183	7	eξi	eξi	PROPN
cana-6244	183	8	in	in	ADP
cana-6244	183	9	linear	linear	PROPN
cana-6244	183	10	part	part	NOUN
cana-6244	183	11	of	of	ADP
cana-6244	183	12	eq	eq	PROPN
cana-6244	183	13	.	.	PUNCT
cana-6244	184	1	(	(	PUNCT
cana-6244	184	2	27	27	NUM
cana-6244	184	3	)	)	PUNCT
cana-6244	184	4	,	,	PUNCT
cana-6244	184	5	we	we	PRON
cana-6244	184	6	obtain	obtain	VERB
cana-6244	184	7	the	the	DET
cana-6244	184	8	dispersion	dispersion	NOUN
cana-6244	184	9	as	as	ADP
cana-6244	184	10	di	di	NOUN
cana-6244	184	11	=	=	NOUN
cana-6244	184	12	µ4i	µ4i	PRON
cana-6244	184	13	−	−	PROPN
cana-6244	184	14	v2i	v2i	NOUN
cana-6244	184	15	µi	µi	INTJ
cana-6244	184	16	.	.	PUNCT
cana-6244	185	1	(	(	PUNCT
cana-6244	185	2	29	29	NUM
cana-6244	185	3	)	)	PUNCT
cana-6244	185	4	next	next	ADV
cana-6244	185	5	,	,	PUNCT
cana-6244	185	6	we	we	PRON
cana-6244	185	7	introduce	introduce	VERB
cana-6244	185	8	the	the	DET
cana-6244	185	9	transformation	transformation	NOUN
cana-6244	185	10	u(x	u(x	NOUN
cana-6244	185	11	,	,	PUNCT
cana-6244	185	12	y	y	PROPN
cana-6244	185	13	,	,	PUNCT
cana-6244	185	14	t	t	PROPN
cana-6244	185	15	)	)	PUNCT
cana-6244	185	16	=	=	PUNCT
cana-6244	186	1	k(lnh)xx	k(lnh)xx	NOUN
cana-6244	186	2	,	,	PUNCT
cana-6244	186	3	(	(	PUNCT
cana-6244	186	4	30	30	NUM
cana-6244	186	5	)	)	PUNCT
cana-6244	186	6	which	which	PRON
cana-6244	186	7	may	may	AUX
cana-6244	186	8	also	also	ADV
cana-6244	186	9	be	be	AUX
cana-6244	186	10	written	write	VERB
cana-6244	186	11	as	as	ADP
cana-6244	186	12	u	u	NOUN
cana-6244	186	13	=	=	PROPN
cana-6244	186	14	wxx	wxx	PROPN
cana-6244	186	15	,	,	PUNCT
cana-6244	186	16	with	with	ADP
cana-6244	186	17	w	w	PROPN
cana-6244	186	18	=	=	SYM
cana-6244	186	19	k(lnh	k(lnh	PROPN
cana-6244	186	20	)	)	PUNCT
cana-6244	186	21	.	.	PUNCT
cana-6244	187	1	(	(	PUNCT
cana-6244	187	2	31	31	NUM
cana-6244	187	3	)	)	PUNCT
cana-6244	187	4	choosing	choose	VERB
cana-6244	187	5	the	the	DET
cana-6244	187	6	function	function	NOUN
cana-6244	187	7	h	h	NOUN
cana-6244	187	8	as	as	ADP
cana-6244	187	9	h	h	NOUN
cana-6244	187	10	=	=	NOUN
cana-6244	187	11	1	1	NUM
cana-6244	187	12	+	+	CCONJ
cana-6244	187	13	eξ1	eξ1	NOUN
cana-6244	187	14	,	,	PUNCT
cana-6244	187	15	where	where	SCONJ
cana-6244	187	16	ξ1	ξ1	NOUN
cana-6244	187	17	=	=	SYM
cana-6244	187	18	µ1x+	µ1x+	PROPN
cana-6244	187	19	v1y	v1y	NOUN
cana-6244	187	20	−	−	PROPN
cana-6244	187	21	(	(	PUNCT
cana-6244	187	22	µ41	µ41	NOUN
cana-6244	187	23	−	−	PROPN
cana-6244	187	24	v21	v21	PROPN
cana-6244	187	25	µ1	µ1	PROPN
cana-6244	187	26	)	)	PUNCT
cana-6244	187	27	t	t	PROPN
cana-6244	187	28	,	,	PUNCT
cana-6244	187	29	and	and	CCONJ
cana-6244	187	30	substituting	substitute	VERB
cana-6244	187	31	into	into	ADP
cana-6244	187	32	eq	eq	NOUN
cana-6244	187	33	.	.	PUNCT
cana-6244	188	1	(	(	PUNCT
cana-6244	188	2	27	27	NUM
cana-6244	188	3	)	)	PUNCT
cana-6244	188	4	,	,	PUNCT
cana-6244	188	5	the	the	DET
cana-6244	188	6	value	value	NOUN
cana-6244	188	7	of	of	ADP
cana-6244	188	8	k	k	PROPN
cana-6244	188	9	is	be	AUX
cana-6244	188	10	determined	determined	ADJ
cana-6244	188	11	to	to	PART
cana-6244	188	12	be	be	AUX
cana-6244	188	13	k	k	NOUN
cana-6244	188	14	=	=	SYM
cana-6244	188	15	2	2	NUM
cana-6244	188	16	.	.	PUNCT
cana-6244	189	1	thus	thus	ADV
cana-6244	189	2	,	,	PUNCT
cana-6244	189	3	the	the	DET
cana-6244	189	4	logarithmic	logarithmic	ADJ
cana-6244	189	5	transformation	transformation	NOUN
cana-6244	189	6	(	(	PUNCT
cana-6244	189	7	30	30	NUM
cana-6244	189	8	)	)	PUNCT
cana-6244	189	9	reduces	reduce	VERB
cana-6244	189	10	to	to	ADP
cana-6244	189	11	u	u	NOUN
cana-6244	189	12	=	=	NOUN
cana-6244	189	13	2(lnh)xx	2(lnh)xx	NUM
cana-6244	189	14	.	.	PUNCT
cana-6244	190	1	(	(	PUNCT
cana-6244	190	2	32	32	NUM
cana-6244	190	3	)	)	PUNCT
cana-6244	190	4	now	now	ADV
cana-6244	190	5	,	,	PUNCT
cana-6244	190	6	from	from	ADP
cana-6244	190	7	(	(	PUNCT
cana-6244	190	8	31	31	NUM
cana-6244	190	9	)	)	PUNCT
cana-6244	190	10	,	,	PUNCT
cana-6244	190	11	we	we	PRON
cana-6244	190	12	have	have	VERB
cana-6244	190	13	ut	ut	PROPN
cana-6244	190	14	=	=	PUNCT
cana-6244	190	15	wxxt	wxxt	NOUN
cana-6244	190	16	,	,	PUNCT
cana-6244	190	17	ux	ux	NOUN
cana-6244	190	18	=	=	SYM
cana-6244	190	19	wxxx	wxxx	PROPN
cana-6244	190	20	,	,	PUNCT
cana-6244	190	21	uxxx	uxxx	PROPN
cana-6244	190	22	=	=	SYM
cana-6244	190	23	wxxxxx	wxxxxx	PROPN
cana-6244	190	24	and	and	CCONJ
cana-6244	190	25	uyy	uyy	PROPN
cana-6244	190	26	=	=	NOUN
cana-6244	191	1	wxxyy	wxxyy	NOUN
cana-6244	191	2	putting	put	VERB
cana-6244	191	3	the	the	DET
cana-6244	191	4	above	above	ADJ
cana-6244	191	5	expressions	expression	NOUN
cana-6244	191	6	into	into	ADP
cana-6244	191	7	eq.(27	eq.(27	PROPN
cana-6244	191	8	)	)	PUNCT
cana-6244	191	9	,	,	PUNCT
cana-6244	191	10	we	we	PRON
cana-6244	191	11	get	get	VERB
cana-6244	191	12	(	(	PUNCT
cana-6244	191	13	wxxt	wxxt	NOUN
cana-6244	191	14	+	+	CCONJ
cana-6244	191	15	6wxxwxxx	6wxxwxxx	NUM
cana-6244	191	16	+	+	NUM
cana-6244	191	17	wxxxxx)x	wxxxxx)x	NOUN
cana-6244	191	18	−	−	NOUN
cana-6244	192	1	wxxyy	wxxyy	NOUN
cana-6244	192	2	(	(	PUNCT
cana-6244	192	3	33)=	33)=	NOUN
cana-6244	192	4	0	0	NUM
cana-6244	192	5	on	on	ADP
cana-6244	192	6	integrating	integrate	VERB
cana-6244	192	7	w.r.t	w.r.t	NOUN
cana-6244	192	8	.	.	PUNCT
cana-6244	193	1	x	x	PUNCT
cana-6244	193	2	wxxt	wxxt	NOUN
cana-6244	193	3	+	+	CCONJ
cana-6244	193	4	6wxxwxxx	6wxxwxxx	NUM
cana-6244	193	5	+	+	NUM
cana-6244	193	6	wxxxxx	wxxxxx	NOUN
cana-6244	193	7	−	−	PROPN
cana-6244	193	8	wxyy	wxyy	NOUN
cana-6244	193	9	=	=	NOUN
cana-6244	193	10	0	0	X
cana-6244	193	11	.	.	PUNCT
cana-6244	194	1	(	(	PUNCT
cana-6244	194	2	34	34	NUM
cana-6244	194	3	)	)	PUNCT
cana-6244	194	4	on	on	ADP
cana-6244	194	5	again	again	ADV
cana-6244	194	6	integrating	integrate	VERB
cana-6244	194	7	w.r.t	w.r.t	NOUN
cana-6244	194	8	.	.	PUNCT
cana-6244	195	1	x	x	X
cana-6244	195	2	wxt	wxt	NOUN
cana-6244	195	3	+	+	CCONJ
cana-6244	195	4	6	6	NUM
cana-6244	195	5	∫	∫	PROPN
cana-6244	195	6	wxxwxxx	wxxwxxx	PROPN
cana-6244	195	7	∂x+	∂x+	PROPN
cana-6244	195	8	wxxxx	wxxxx	PROPN
cana-6244	195	9	−	−	PROPN
cana-6244	195	10	wyy	wyy	NOUN
cana-6244	195	11	=	=	SYM
cana-6244	195	12	0	0	NUM
cana-6244	195	13	.	.	PUNCT
cana-6244	196	1	(	(	PUNCT
cana-6244	196	2	35	35	NUM
cana-6244	196	3	)	)	PUNCT
cana-6244	196	4	we	we	PRON
cana-6244	196	5	compute	compute	VERB
cana-6244	196	6	integral	integral	ADJ
cana-6244	196	7	term	term	NOUN
cana-6244	196	8	in	in	ADP
cana-6244	196	9	equation	equation	NOUN
cana-6244	196	10	(	(	PUNCT
cana-6244	196	11	35	35	NUM
cana-6244	196	12	)	)	PUNCT
cana-6244	196	13	with	with	ADP
cana-6244	196	14	constant	constant	ADJ
cana-6244	196	15	of	of	ADP
cana-6244	196	16	integration	integration	NOUN
cana-6244	196	17	as	as	ADP
cana-6244	196	18	zero	zero	NUM
cana-6244	196	19	i	i	NOUN
cana-6244	197	1	=	=	SYM
cana-6244	198	1	∫	∫	PROPN
cana-6244	198	2	wxxwxxx	wxxwxxx	PROPN
cana-6244	198	3	∂x	∂x	PROPN
cana-6244	198	4	=	=	SYM
cana-6244	198	5	1	1	NUM
cana-6244	198	6	2	2	NUM
cana-6244	198	7	∫	∫	NOUN
cana-6244	198	8	2wxxwxxx	2wxxwxxx	NUM
cana-6244	198	9	∂x	∂x	PROPN
cana-6244	198	10	=	=	SYM
cana-6244	198	11	1	1	NUM
cana-6244	198	12	2	2	NUM
cana-6244	198	13	w2	w2	NOUN
cana-6244	198	14	xx	xx	NUM
cana-6244	198	15	,	,	PUNCT
cana-6244	198	16	(	(	PUNCT
cana-6244	198	17	36	36	NUM
cana-6244	198	18	)	)	PUNCT
cana-6244	198	19	substituting	substitute	VERB
cana-6244	198	20	the	the	DET
cana-6244	198	21	value	value	NOUN
cana-6244	198	22	of	of	ADP
cana-6244	198	23	i	i	PRON
cana-6244	198	24	in	in	ADP
cana-6244	198	25	equation	equation	NOUN
cana-6244	198	26	(	(	PUNCT
cana-6244	198	27	35	35	NUM
cana-6244	198	28	)	)	PUNCT
cana-6244	198	29	,	,	PUNCT
cana-6244	198	30	we	we	PRON
cana-6244	198	31	get	get	VERB
cana-6244	198	32	wxt	wxt	NOUN
cana-6244	198	33	+	+	CCONJ
cana-6244	198	34	3w2	3w2	NUM
cana-6244	198	35	xx	xx	NUM
cana-6244	199	1	+	+	CCONJ
cana-6244	199	2	wxxxx	wxxxx	NOUN
cana-6244	199	3	−	−	NOUN
cana-6244	199	4	wyy	wyy	NOUN
cana-6244	199	5	=	=	SYM
cana-6244	199	6	0	0	NUM
cana-6244	199	7	.	.	PUNCT
cana-6244	200	1	(	(	PUNCT
cana-6244	200	2	37	37	NUM
cana-6244	200	3	)	)	PUNCT
cana-6244	200	4	as	as	SCONJ
cana-6244	200	5	we	we	PRON
cana-6244	200	6	have	have	VERB
cana-6244	200	7	w	w	NOUN
cana-6244	200	8	=	=	SYM
cana-6244	200	9	2(log	2(log	NUM
cana-6244	200	10	h	h	NOUN
cana-6244	200	11	)	)	PUNCT
cana-6244	200	12	,	,	PUNCT
cana-6244	200	13	we	we	PRON
cana-6244	200	14	can	can	AUX
cana-6244	200	15	get	get	VERB
cana-6244	200	16	the	the	DET
cana-6244	200	17	followings	following	NOUN
cana-6244	200	18	:	:	PUNCT
cana-6244	200	19	wx	wx	X
cana-6244	200	20	=	=	SYM
cana-6244	200	21	2	2	NUM
cana-6244	200	22	hx	hx	NOUN
cana-6244	200	23	h	h	NOUN
cana-6244	200	24	,	,	PUNCT
cana-6244	200	25	wxt	wxt	AUX
cana-6244	200	26	=	=	SYM
cana-6244	200	27	2	2	NUM
cana-6244	200	28	hhxt	hhxt	NOUN
cana-6244	200	29	−	−	PROPN
cana-6244	200	30	hxht	hxht	NOUN
cana-6244	200	31	h2	h2	NOUN
cana-6244	200	32	,	,	PUNCT
cana-6244	200	33	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	200	34	1220	1220	NUM
cana-6244	200	35	communications	communication	NOUN
cana-6244	200	36	on	on	ADP
cana-6244	200	37	applied	apply	VERB
cana-6244	200	38	nonlinear	nonlinear	ADJ
cana-6244	200	39	analysis	analysis	NOUN
cana-6244	200	40	issn	issn	NOUN
cana-6244	200	41	:	:	PUNCT
cana-6244	200	42	1074	1074	NUM
cana-6244	200	43	-	-	PUNCT
cana-6244	200	44	133x	133x	NUM
cana-6244	200	45	vol	vol	NOUN
cana-6244	200	46	31	31	NUM
cana-6244	200	47	no	no	NOUN
cana-6244	200	48	.	.	PUNCT
cana-6244	201	1	8s	8s	PROPN
cana-6244	201	2	(	(	PUNCT
cana-6244	201	3	2024	2024	NUM
cana-6244	201	4	)	)	PUNCT
cana-6244	201	5	wxx	wxx	VERB
cana-6244	201	6	=	=	SYM
cana-6244	201	7	2	2	NUM
cana-6244	201	8	hhxx	hhxx	NOUN
cana-6244	201	9	−	−	PROPN
cana-6244	201	10	h2x	h2x	PROPN
cana-6244	201	11	h2	h2	PROPN
cana-6244	201	12	,	,	PUNCT
cana-6244	201	13	wxxx	wxxx	NOUN
cana-6244	201	14	=	=	SYM
cana-6244	202	1	2	2	NUM
cana-6244	202	2	2h3x	2h3x	NUM
cana-6244	202	3	−	−	PROPN
cana-6244	202	4	3hhxhxx	3hhxhxx	NUM
cana-6244	202	5	+	+	CCONJ
cana-6244	202	6	h2hxxx	h2hxxx	ADJ
cana-6244	202	7	h3	h3	NOUN
cana-6244	202	8	,	,	PUNCT
cana-6244	202	9	wxxxx	wxxxx	NOUN
cana-6244	202	10	=	=	SYM
cana-6244	202	11	2	2	NUM
cana-6244	202	12	−6h4x	−6h4x	NOUN
cana-6244	202	13	+	+	CCONJ
cana-6244	202	14	12hh2xhxx	12hh2xhxx	NUM
cana-6244	202	15	−	−	PROPN
cana-6244	202	16	3h2h2xx	3h2h2xx	NUM
cana-6244	202	17	−	−	NOUN
cana-6244	202	18	4hxh	4hxh	PROPN
cana-6244	202	19	2hxxx	2hxxx	NUM
cana-6244	202	20	h4	h4	NOUN
cana-6244	202	21	,	,	PUNCT
cana-6244	202	22	wyy	wyy	NOUN
cana-6244	202	23	=	=	SYM
cana-6244	202	24	2	2	NUM
cana-6244	202	25	hhyy	hhyy	NOUN
cana-6244	202	26	−	−	PROPN
cana-6244	202	27	h2y	h2y	PROPN
cana-6244	202	28	h2	h2	NOUN
cana-6244	202	29	,	,	PUNCT
cana-6244	202	30	which	which	PRON
cana-6244	202	31	converts	convert	VERB
cana-6244	202	32	eq.(27	eq.(27	PROPN
cana-6244	202	33	)	)	PUNCT
cana-6244	202	34	into	into	ADP
cana-6244	202	35	a	a	DET
cana-6244	202	36	bilinear	bilinear	NOUN
cana-6244	202	37	equation	equation	NOUN
cana-6244	202	38	in	in	ADP
cana-6244	202	39	h	h	NOUN
cana-6244	202	40	as	as	ADP
cana-6244	202	41	hhxt	hhxt	NOUN
cana-6244	202	42	−	−	PROPN
cana-6244	202	43	hxht	hxht	NOUN
cana-6244	202	44	+	+	CCONJ
cana-6244	202	45	3h2xx	3h2xx	NUM
cana-6244	202	46	−	−	PROPN
cana-6244	202	47	4hxhxxx	4hxhxxx	NUM
cana-6244	202	48	+	+	NUM
cana-6244	202	49	hhxxxx	hhxxxx	ADJ
cana-6244	202	50	−	−	NOUN
cana-6244	202	51	hhyy	hhyy	NOUN
cana-6244	202	52	+	+	CCONJ
cana-6244	202	53	h2y	h2y	NOUN
cana-6244	202	54	=	=	SYM
cana-6244	202	55	0	0	NUM
cana-6244	202	56	.	.	PUNCT
cana-6244	202	57	(	(	PUNCT
cana-6244	202	58	38	38	NUM
cana-6244	202	59	)	)	PUNCT
cana-6244	202	60	since	since	SCONJ
cana-6244	202	61	hirota	hirota	PROPN
cana-6244	202	62	bilinear	bilinear	NOUN
cana-6244	202	63	operator	operator	NOUN
cana-6244	202	64	is	be	AUX
cana-6244	202	65	defined	define	VERB
cana-6244	202	66	as	as	ADP
cana-6244	202	67	dp	dp	NOUN
cana-6244	202	68	ad	ad	NOUN
cana-6244	202	69	q	q	X
cana-6244	202	70	bd	bd	PROPN
cana-6244	202	71	r	r	NOUN
cana-6244	202	72	c(h	c(h	PROPN
cana-6244	202	73	,	,	PUNCT
cana-6244	202	74	k	k	NOUN
cana-6244	202	75	)	)	PUNCT
cana-6244	202	76	=	=	SYM
cana-6244	202	77	lim	lim	PROPN
cana-6244	202	78	a′→a	a′→a	PROPN
cana-6244	202	79	,	,	PUNCT
cana-6244	202	80	b′→b	b′→b	PROPN
cana-6244	202	81	,	,	PUNCT
cana-6244	202	82	c′→c	c′→c	PROPN
cana-6244	202	83	(	(	PUNCT
cana-6244	202	84	∂	∂	NOUN
cana-6244	202	85	∂a	∂a	ADP
cana-6244	202	86	−	−	PROPN
cana-6244	202	87	∂	∂	NUM
cana-6244	202	88	∂a′	∂a′	NOUN
cana-6244	202	89	)	)	PUNCT
cana-6244	203	1	p	p	X
cana-6244	203	2	(	(	PUNCT
cana-6244	203	3	∂	∂	NOUN
cana-6244	203	4	∂b	∂b	PROPN
cana-6244	203	5	−	−	PROPN
cana-6244	203	6	∂	∂	NOUN
cana-6244	203	7	∂b′	∂b′	NOUN
cana-6244	203	8	)	)	PUNCT
cana-6244	203	9	q	q	NOUN
cana-6244	203	10	(	(	PUNCT
cana-6244	203	11	∂	∂	NOUN
cana-6244	203	12	∂c	∂c	NOUN
cana-6244	204	1	−	−	PROPN
cana-6244	204	2	∂	∂	NOUN
cana-6244	204	3	∂c′	∂c′	NOUN
cana-6244	204	4	)	)	PUNCT
cana-6244	204	5	r	r	NOUN
cana-6244	204	6	h(a	h(a	PROPN
cana-6244	204	7	,	,	PUNCT
cana-6244	204	8	b	b	PROPN
cana-6244	204	9	,	,	PUNCT
cana-6244	204	10	c)k(a′	c)k(a′	NOUN
cana-6244	204	11	,	,	PUNCT
cana-6244	204	12	b′	b′	NUM
cana-6244	204	13	,	,	PUNCT
cana-6244	204	14	c′	c′	NUM
cana-6244	204	15	)	)	PUNCT
cana-6244	204	16	.	.	PUNCT
cana-6244	205	1	let	let	VERB
cana-6244	205	2	p	p	NOUN
cana-6244	205	3	=	=	NOUN
cana-6244	205	4	1,q	1,q	NUM
cana-6244	205	5	=	=	SYM
cana-6244	205	6	0	0	NUM
cana-6244	205	7	and	and	CCONJ
cana-6244	205	8	r	r	NOUN
cana-6244	205	9	then=	then=	NUM
cana-6244	205	10	1	1	NUM
cana-6244	205	11	,	,	PUNCT
cana-6244	205	12	dxdt(h.k	dxdt(h.k	NOUN
cana-6244	205	13	)	)	PUNCT
cana-6244	205	14	=	=	SYM
cana-6244	206	1	hxtk	hxtk	ADV
cana-6244	206	2	−	−	PROPN
cana-6244	206	3	htkx	htkx	NOUN
cana-6244	206	4	−	−	PROPN
cana-6244	206	5	hxkt	hxkt	NOUN
cana-6244	206	6	+	+	CCONJ
cana-6244	206	7	hkxt	hkxt	NOUN
cana-6244	206	8	,	,	PUNCT
cana-6244	206	9	dxdt(h.h	dxdt(h.h	PROPN
cana-6244	206	10	)	)	PUNCT
cana-6244	206	11	=	=	SYM
cana-6244	206	12	2	2	NUM
cana-6244	206	13	(	(	PUNCT
cana-6244	206	14	hhxt	hhxt	NOUN
cana-6244	206	15	−	−	PROPN
cana-6244	206	16	hxht	hxht	NOUN
cana-6244	206	17	)	)	PUNCT
cana-6244	206	18	let	let	VERB
cana-6244	206	19	p	p	NOUN
cana-6244	206	20	=	=	NOUN
cana-6244	206	21	4	4	NUM
cana-6244	206	22	,	,	PUNCT
cana-6244	206	23	q	q	NOUN
cana-6244	206	24	=	=	SYM
cana-6244	206	25	0	0	NUM
cana-6244	206	26	and	and	CCONJ
cana-6244	206	27	r	r	NOUN
cana-6244	206	28	=	=	SYM
cana-6244	206	29	0	0	NUM
cana-6244	206	30	,	,	PUNCT
cana-6244	206	31	then	then	ADV
cana-6244	206	32	d4	d4	PROPN
cana-6244	206	33	x(h.k	x(h.k	PROPN
cana-6244	206	34	)	)	PUNCT
cana-6244	207	1	=	=	PRON
cana-6244	207	2	hxxxxk	hxxxxk	VERB
cana-6244	207	3	−	−	PROPN
cana-6244	207	4	4hxxxkx	4hxxxkx	NUM
cana-6244	207	5	+	+	CCONJ
cana-6244	208	1	6hxxkxx	6hxxkxx	NUM
cana-6244	208	2	−	−	PROPN
cana-6244	208	3	4hxkxxx	4hxkxxx	NUM
cana-6244	208	4	+	+	NUM
cana-6244	208	5	hkxxxx	hkxxxx	ADJ
cana-6244	208	6	d4	d4	PROPN
cana-6244	208	7	x(h.h	x(h.h	PROPN
cana-6244	208	8	)	)	PUNCT
cana-6244	208	9	=	=	SYM
cana-6244	208	10	2	2	NUM
cana-6244	208	11	(	(	PUNCT
cana-6244	208	12	3h2xx	3h2xx	NUM
cana-6244	208	13	−	−	PROPN
cana-6244	208	14	4hxhxxx	4hxhxxx	NUM
cana-6244	208	15	+	+	NUM
cana-6244	208	16	hhxxxx	hhxxxx	NOUN
cana-6244	208	17	)	)	PUNCT
cana-6244	208	18	let	let	VERB
cana-6244	208	19	p	p	NOUN
cana-6244	208	20	=	=	NOUN
cana-6244	208	21	0	0	NUM
cana-6244	208	22	,	,	PUNCT
cana-6244	208	23	q	q	NOUN
cana-6244	208	24	=	=	SYM
cana-6244	208	25	2	2	NUM
cana-6244	208	26	and	and	CCONJ
cana-6244	208	27	r	r	NOUN
cana-6244	208	28	=	=	SYM
cana-6244	208	29	0	0	NUM
cana-6244	208	30	,	,	PUNCT
cana-6244	208	31	then	then	ADV
cana-6244	208	32	d2	d2	PROPN
cana-6244	208	33	y(h.k	y(h.k	PROPN
cana-6244	208	34	)	)	PUNCT
cana-6244	208	35	=	=	SYM
cana-6244	208	36	hyyk	hyyk	NOUN
cana-6244	208	37	+	+	CCONJ
cana-6244	208	38	hkyy	hkyy	NOUN
cana-6244	208	39	+	+	CCONJ
cana-6244	208	40	2hyky	2hyky	NUM
cana-6244	208	41	d2	d2	PROPN
cana-6244	208	42	y(h.h	y(h.h	PROPN
cana-6244	208	43	)	)	PUNCT
cana-6244	209	1	=	=	SYM
cana-6244	209	2	2	2	NUM
cana-6244	209	3	(	(	PUNCT
cana-6244	209	4	hhyy	hhyy	NOUN
cana-6244	209	5	−	−	PROPN
cana-6244	209	6	h2y	h2y	PROPN
cana-6244	209	7	)	)	PUNCT
cana-6244	209	8	therefore	therefore	ADV
cana-6244	209	9	,	,	PUNCT
cana-6244	209	10	using	use	VERB
cana-6244	209	11	bilinear	bilinear	NOUN
cana-6244	209	12	differentials	differential	NOUN
cana-6244	209	13	d	d	NOUN
cana-6244	209	14	,	,	PUNCT
cana-6244	209	15	the	the	DET
cana-6244	209	16	bilinear	bilinear	NOUN
cana-6244	209	17	eq	eq	X
cana-6244	209	18	.	.	PUNCT
cana-6244	210	1	(	(	PUNCT
cana-6244	210	2	38	38	NUM
cana-6244	210	3	)	)	PUNCT
cana-6244	210	4	can	can	AUX
cana-6244	210	5	be	be	AUX
cana-6244	210	6	expressed	express	VERB
cana-6244	210	7	in	in	ADP
cana-6244	210	8	hirota	hirota	PROPN
cana-6244	210	9	’s	’s	PART
cana-6244	210	10	bilinear	bilinear	PROPN
cana-6244	210	11	form	form	NOUN
cana-6244	210	12	as	as	ADP
cana-6244	210	13	[	[	PUNCT
cana-6244	210	14	dxdt	dxdt	NOUN
cana-6244	210	15	+	+	PROPN
cana-6244	210	16	d4	d4	PROPN
cana-6244	210	17	x	x	PUNCT
cana-6244	210	18	−d2	−d2	NOUN
cana-6244	210	19	y	y	X
cana-6244	210	20	]	]	X
cana-6244	211	1	h.h	h.h	PROPN
cana-6244	211	2	(	(	PUNCT
cana-6244	211	3	39)=	39)=	NOUN
cana-6244	211	4	0	0	PUNCT
cana-6244	212	1	this	this	DET
cana-6244	212	2	equation	equation	NOUN
cana-6244	212	3	(	(	PUNCT
cana-6244	212	4	39	39	NUM
cana-6244	212	5	)	)	PUNCT
cana-6244	212	6	is	be	AUX
cana-6244	212	7	called	call	VERB
cana-6244	212	8	the	the	DET
cana-6244	212	9	hirota	hirota	PROPN
cana-6244	212	10	bilinear	bilinear	NOUN
cana-6244	212	11	form	form	NOUN
cana-6244	212	12	for	for	ADP
cana-6244	212	13	kp	kp	PROPN
cana-6244	212	14	equation	equation	NOUN
cana-6244	212	15	(	(	PUNCT
cana-6244	212	16	27	27	NUM
cana-6244	212	17	)	)	PUNCT
cana-6244	212	18	.	.	PUNCT
cana-6244	213	1	3.4	3.4	NUM
cana-6244	213	2	kp	kp	PROPN
cana-6244	213	3	equation	equation	NOUN
cana-6244	213	4	with	with	ADP
cana-6244	213	5	variable	variable	ADJ
cana-6244	213	6	coefficients	coefficient	NOUN
cana-6244	213	7	in	in	ADP
cana-6244	213	8	(	(	PUNCT
cana-6244	213	9	2	2	NUM
cana-6244	213	10	+	+	NOUN
cana-6244	213	11	1)-dimensions	1)-dimensions	NUM
cana-6244	213	12	the	the	DET
cana-6244	213	13	nonlinear	nonlinear	ADJ
cana-6244	213	14	kp	kp	PROPN
cana-6244	213	15	equation	equation	NOUN
cana-6244	213	16	with	with	ADP
cana-6244	213	17	a	a	DET
cana-6244	213	18	variable	variable	ADJ
cana-6244	213	19	coefficient	coefficient	NOUN
cana-6244	213	20	represents	represent	VERB
cana-6244	213	21	a	a	DET
cana-6244	213	22	generalization	generalization	NOUN
cana-6244	213	23	of	of	ADP
cana-6244	213	24	the	the	DET
cana-6244	213	25	standard	standard	ADJ
cana-6244	213	26	kp	kp	PROPN
cana-6244	213	27	equation	equation	NOUN
cana-6244	213	28	[	[	X
cana-6244	213	29	25	25	NUM
cana-6244	213	30	]	]	PUNCT
cana-6244	213	31	.	.	PUNCT
cana-6244	214	1	its	its	PRON
cana-6244	214	2	mathematical	mathematical	ADJ
cana-6244	214	3	form	form	NOUN
cana-6244	214	4	is	be	AUX
cana-6244	214	5	(	(	PUNCT
cana-6244	214	6	ut	ut	PROPN
cana-6244	214	7	+	+	PROPN
cana-6244	214	8	uux	uux	PROPN
cana-6244	214	9	+	+	PROPN
cana-6244	214	10	uxxx)x	uxxx)x	PROPN
cana-6244	215	1	+	+	CCONJ
cana-6244	215	2	g(t)uxy	g(t)uxy	PROPN
cana-6244	215	3	+	+	CCONJ
cana-6244	215	4	3uyy	3uyy	PROPN
cana-6244	215	5	=	=	SYM
cana-6244	215	6	0	0	NUM
cana-6244	215	7	,	,	PUNCT
cana-6244	215	8	(	(	PUNCT
cana-6244	215	9	40	40	NUM
cana-6244	215	10	)	)	PUNCT
cana-6244	215	11	where	where	SCONJ
cana-6244	215	12	u	u	PRON
cana-6244	215	13	denotes	denote	VERB
cana-6244	215	14	the	the	DET
cana-6244	215	15	wave	wave	NOUN
cana-6244	215	16	and	and	CCONJ
cana-6244	215	17	x	x	NOUN
cana-6244	215	18	,	,	PUNCT
cana-6244	215	19	y	y	PROPN
cana-6244	215	20	,	,	PUNCT
cana-6244	215	21	t	t	PROPN
cana-6244	215	22	are	be	AUX
cana-6244	215	23	spatial	spatial	ADJ
cana-6244	215	24	and	and	CCONJ
cana-6244	215	25	temporal	temporal	ADJ
cana-6244	215	26	coordinates	coordinate	NOUN
cana-6244	215	27	,	,	PUNCT
cana-6244	215	28	and	and	CCONJ
cana-6244	215	29	g(t	g(t	PROPN
cana-6244	215	30	)	)	PUNCT
cana-6244	215	31	is	be	AUX
cana-6244	215	32	a	a	DET
cana-6244	215	33	time	time	NOUN
cana-6244	215	34	-	-	PUNCT
cana-6244	215	35	dependent	dependent	ADJ
cana-6244	215	36	coefficient	coefficient	NOUN
cana-6244	215	37	that	that	SCONJ
cana-6244	215	38	modulates	modulate	VERB
cana-6244	215	39	the	the	DET
cana-6244	215	40	coupling	coupling	NOUN
cana-6244	215	41	between	between	ADP
cana-6244	215	42	the	the	DET
cana-6244	215	43	x	x	NOUN
cana-6244	215	44	and	and	CCONJ
cana-6244	215	45	y	y	PROPN
cana-6244	215	46	directions	direction	NOUN
cana-6244	215	47	.	.	PUNCT
cana-6244	216	1	to	to	PART
cana-6244	216	2	determine	determine	VERB
cana-6244	216	3	the	the	DET
cana-6244	216	4	dispersion	dispersion	NOUN
cana-6244	216	5	relation	relation	NOUN
cana-6244	216	6	,	,	PUNCT
cana-6244	216	7	we	we	PRON
cana-6244	216	8	introduce	introduce	VERB
cana-6244	216	9	the	the	DET
cana-6244	216	10	phase	phase	NOUN
cana-6244	216	11	variable	variable	NOUN
cana-6244	216	12	ξi	ξi	NOUN
cana-6244	216	13	=	=	PUNCT
cana-6244	217	1	µix+	µix+	ADP
cana-6244	217	2	viy	viy	ADV
cana-6244	217	3	−	−	PROPN
cana-6244	217	4	di(t	di(t	NOUN
cana-6244	217	5	)	)	PUNCT
cana-6244	217	6	,	,	PUNCT
cana-6244	217	7	(	(	PUNCT
cana-6244	217	8	41	41	NUM
cana-6244	217	9	)	)	PUNCT
cana-6244	217	10	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	217	11	1221	1221	NUM
cana-6244	217	12	communications	communication	NOUN
cana-6244	217	13	on	on	ADP
cana-6244	217	14	applied	apply	VERB
cana-6244	217	15	nonlinear	nonlinear	ADJ
cana-6244	217	16	analysis	analysis	NOUN
cana-6244	217	17	issn	issn	NOUN
cana-6244	217	18	:	:	PUNCT
cana-6244	217	19	1074	1074	NUM
cana-6244	217	20	-	-	PUNCT
cana-6244	217	21	133x	133x	NUM
cana-6244	217	22	vol	vol	NOUN
cana-6244	217	23	31	31	NUM
cana-6244	217	24	no	no	NOUN
cana-6244	217	25	.	.	PUNCT
cana-6244	218	1	8s	8s	PROPN
cana-6244	218	2	(	(	PUNCT
cana-6244	218	3	2024	2024	NUM
cana-6244	218	4	)	)	PUNCT
cana-6244	218	5	where	where	SCONJ
cana-6244	218	6	µi	µi	PROPN
cana-6244	218	7	,	,	PUNCT
cana-6244	218	8	vi	vi	PROPN
cana-6244	218	9	(	(	PUNCT
cana-6244	218	10	i	i	NOUN
cana-6244	218	11	=	=	NOUN
cana-6244	218	12	1	1	NUM
cana-6244	218	13	,	,	PUNCT
cana-6244	218	14	2	2	NUM
cana-6244	218	15	,	,	PUNCT
cana-6244	218	16	.	.	PUNCT
cana-6244	218	17	.	.	PUNCT
cana-6244	218	18	.	.	PUNCT
cana-6244	218	19	)	)	PUNCT
cana-6244	218	20	are	be	AUX
cana-6244	218	21	constants	constant	NOUN
cana-6244	218	22	and	and	CCONJ
cana-6244	218	23	di(t	di(t	NOUN
cana-6244	218	24	)	)	PUNCT
cana-6244	218	25	is	be	AUX
cana-6244	218	26	the	the	DET
cana-6244	218	27	time	time	NOUN
cana-6244	218	28	-	-	PUNCT
cana-6244	218	29	dependent	dependent	ADJ
cana-6244	218	30	dispersion	dispersion	NOUN
cana-6244	218	31	function	function	NOUN
cana-6244	218	32	.	.	PUNCT
cana-6244	219	1	substituting	substitute	VERB
cana-6244	219	2	u	u	NOUN
cana-6244	219	3	=	=	PROPN
cana-6244	219	4	eξi	eξi	PROPN
cana-6244	219	5	into	into	ADP
cana-6244	219	6	the	the	DET
cana-6244	219	7	linear	linear	ADJ
cana-6244	219	8	terms	term	NOUN
cana-6244	219	9	of	of	ADP
cana-6244	219	10	eq	eq	PROPN
cana-6244	219	11	.	.	PUNCT
cana-6244	220	1	(	(	PUNCT
cana-6244	220	2	40	40	NUM
cana-6244	220	3	)	)	PUNCT
cana-6244	220	4	yields	yield	NOUN
cana-6244	220	5	(	(	PUNCT
cana-6244	220	6	ut	ut	PROPN
cana-6244	220	7	+	+	PROPN
cana-6244	220	8	uxxx)x	uxxx)x	ADJ
cana-6244	221	1	+	+	CCONJ
cana-6244	221	2	g(t)uxy	g(t)uxy	PROPN
cana-6244	221	3	+	+	CCONJ
cana-6244	221	4	3uyy	3uyy	PROPN
cana-6244	221	5	=	=	SYM
cana-6244	221	6	0	0	X
cana-6244	221	7	.	.	PUNCT
cana-6244	222	1	the	the	DET
cana-6244	222	2	relevant	relevant	ADJ
cana-6244	222	3	partial	partial	ADJ
cana-6244	222	4	derivatives	derivative	NOUN
cana-6244	222	5	are	be	AUX
cana-6244	222	6	ut	ut	PROPN
cana-6244	222	7	=	=	NOUN
cana-6244	222	8	−d′i(t)eξi	−d′i(t)eξi	PROPN
cana-6244	222	9	,	,	PUNCT
cana-6244	222	10	ux	ux	NOUN
cana-6244	222	11	=	=	PUNCT
cana-6244	222	12	µieξi	µieξi	PROPN
cana-6244	222	13	,	,	PUNCT
cana-6244	222	14	uxxx	uxxx	PROPN
cana-6244	222	15	=	=	PUNCT
cana-6244	222	16	µ3i	µ3i	PUNCT
cana-6244	222	17	e	e	ADP
cana-6244	222	18	ξi	ξi	PROPN
cana-6244	222	19	,	,	PUNCT
cana-6244	222	20	uyy	uyy	PROPN
cana-6244	222	21	=	=	PUNCT
cana-6244	222	22	v2i	v2i	PROPN
cana-6244	222	23	e	e	PROPN
cana-6244	222	24	ξi	ξi	NOUN
cana-6244	222	25	,	,	PUNCT
cana-6244	222	26	uxy	uxy	PROPN
cana-6244	222	27	=	=	PRON
cana-6244	222	28	µivieξi	µivieξi	ADJ
cana-6244	222	29	.	.	PUNCT
cana-6244	223	1	substituting	substitute	VERB
cana-6244	223	2	these	these	DET
cana-6244	223	3	expressions	expression	NOUN
cana-6244	223	4	into	into	ADP
cana-6244	223	5	the	the	DET
cana-6244	223	6	linearized	linearize	VERB
cana-6244	223	7	equation	equation	NOUN
cana-6244	223	8	gives	give	VERB
cana-6244	223	9	(	(	PUNCT
cana-6244	223	10	−d′i(t)eξi	−d′i(t)eξi	PROPN
cana-6244	223	11	+	+	NUM
cana-6244	223	12	µ3i	µ3i	NUM
cana-6244	223	13	e	e	NOUN
cana-6244	223	14	ξi	ξi	PROPN
cana-6244	223	15	)	)	PUNCT
cana-6244	223	16	x	x	PUNCT
cana-6244	224	1	+	+	PUNCT
cana-6244	224	2	3v2i	3v2i	NOUN
cana-6244	224	3	e	e	NOUN
cana-6244	224	4	ξi	ξi	NOUN
cana-6244	224	5	+	+	NOUN
cana-6244	224	6	g(t)µivie	g(t)µivie	NOUN
cana-6244	224	7	ξi	ξi	NOUN
cana-6244	224	8	=	=	SYM
cana-6244	224	9	0	0	PROPN
cana-6244	224	10	,	,	PUNCT
cana-6244	224	11	which	which	PRON
cana-6244	224	12	simplifies	simplify	VERB
cana-6244	224	13	to	to	ADP
cana-6244	224	14	(	(	PUNCT
cana-6244	224	15	−d′i(t	−d′i(t	PROPN
cana-6244	224	16	)	)	PUNCT
cana-6244	224	17	+	+	NUM
cana-6244	224	18	µ3i	µ3i	NUM
cana-6244	224	19	)	)	PUNCT
cana-6244	224	20	µi	µi	ADP
cana-6244	224	21	+	+	NUM
cana-6244	224	22	3v2i	3v2i	NOUN
cana-6244	224	23	+	+	X
cana-6244	224	24	g(t)µivi	g(t)µivi	X
cana-6244	224	25	=	=	SYM
cana-6244	224	26	0	0	X
cana-6244	224	27	.	.	X
cana-6244	225	1	solving	solve	VERB
cana-6244	225	2	for	for	ADP
cana-6244	225	3	d′i(t	d′i(t	NOUN
cana-6244	225	4	)	)	PUNCT
cana-6244	225	5	leads	lead	VERB
cana-6244	225	6	to	to	ADP
cana-6244	225	7	d′i(t	d′i(t	NOUN
cana-6244	225	8	)	)	PUNCT
cana-6244	225	9	=	=	SYM
cana-6244	226	1	µ3i	µ3i	X
cana-6244	226	2	+	+	NUM
cana-6244	226	3	3v2i	3v2i	NOUN
cana-6244	226	4	µi	µi	X
cana-6244	226	5	+	+	CCONJ
cana-6244	226	6	g(t)vi	g(t)vi	NOUN
cana-6244	226	7	,	,	PUNCT
cana-6244	226	8	and	and	CCONJ
cana-6244	226	9	integrating	integrate	VERB
cana-6244	226	10	over	over	ADP
cana-6244	226	11	time	time	NOUN
cana-6244	226	12	gives	give	VERB
cana-6244	226	13	the	the	DET
cana-6244	226	14	dispersion	dispersion	NOUN
cana-6244	226	15	relation	relation	NOUN
cana-6244	226	16	di(t	di(t	NOUN
cana-6244	226	17	)	)	PUNCT
cana-6244	227	1	=	=	SYM
cana-6244	227	2	∫	∫	PROPN
cana-6244	227	3	(	(	PUNCT
cana-6244	227	4	µ3i	µ3i	X
cana-6244	227	5	+	+	SYM
cana-6244	227	6	g(t)vi	g(t)vi	X
cana-6244	227	7	+	+	CCONJ
cana-6244	227	8	3v2i	3v2i	NOUN
cana-6244	227	9	µi	µi	NOUN
cana-6244	227	10	)	)	PUNCT
cana-6244	228	1	dt	dt	PROPN
cana-6244	228	2	.	.	PUNCT
cana-6244	229	1	(	(	PUNCT
cana-6244	229	2	42	42	NUM
cana-6244	229	3	)	)	PUNCT
cana-6244	229	4	to	to	PART
cana-6244	229	5	construct	construct	VERB
cana-6244	229	6	solutions	solution	NOUN
cana-6244	229	7	,	,	PUNCT
cana-6244	229	8	we	we	PRON
cana-6244	229	9	apply	apply	VERB
cana-6244	229	10	the	the	DET
cana-6244	229	11	transformation	transformation	NOUN
cana-6244	229	12	u(x	u(x	NOUN
cana-6244	229	13	,	,	PUNCT
cana-6244	229	14	y	y	PROPN
cana-6244	229	15	,	,	PUNCT
cana-6244	229	16	t	t	PROPN
cana-6244	229	17	)	)	PUNCT
cana-6244	229	18	=	=	PUNCT
cana-6244	230	1	k(lnh)xx	k(lnh)xx	NOUN
cana-6244	230	2	,	,	PUNCT
cana-6244	230	3	(	(	PUNCT
cana-6244	230	4	43	43	NUM
cana-6244	230	5	)	)	PUNCT
cana-6244	230	6	which	which	PRON
cana-6244	230	7	can	can	AUX
cana-6244	230	8	equivalently	equivalently	ADV
cana-6244	230	9	be	be	AUX
cana-6244	230	10	expressed	express	VERB
cana-6244	230	11	as	as	ADP
cana-6244	230	12	u	u	NOUN
cana-6244	230	13	=	=	PROPN
cana-6244	230	14	wxx	wxx	PROPN
cana-6244	230	15	,	,	PUNCT
cana-6244	230	16	where	where	SCONJ
cana-6244	230	17	w	w	PROPN
cana-6244	230	18	=	=	SYM
cana-6244	230	19	k(lnh	k(lnh	PROPN
cana-6244	230	20	)	)	PUNCT
cana-6244	230	21	.	.	PUNCT
cana-6244	231	1	(	(	PUNCT
cana-6244	231	2	44	44	X
cana-6244	231	3	)	)	PUNCT
cana-6244	231	4	choosing	choose	VERB
cana-6244	231	5	the	the	DET
cana-6244	231	6	function	function	NOUN
cana-6244	231	7	h	h	NOUN
cana-6244	231	8	as	as	ADP
cana-6244	231	9	h	h	NOUN
cana-6244	231	10	=	=	NOUN
cana-6244	231	11	1	1	NUM
cana-6244	231	12	+	+	CCONJ
cana-6244	231	13	eξ1	eξ1	NOUN
cana-6244	231	14	,	,	PUNCT
cana-6244	231	15	with	with	ADP
cana-6244	231	16	ξ1	ξ1	NOUN
cana-6244	231	17	=	=	SYM
cana-6244	231	18	µ1x+	µ1x+	PROPN
cana-6244	231	19	v1y	v1y	PUNCT
cana-6244	231	20	−	−	PROPN
cana-6244	231	21	∫	∫	PROPN
cana-6244	231	22	(	(	PUNCT
cana-6244	231	23	µ31	µ31	PROPN
cana-6244	231	24	+	+	CCONJ
cana-6244	231	25	g(t)v1	g(t)v1	NOUN
cana-6244	231	26	+	+	NOUN
cana-6244	231	27	3v21	3v21	NUM
cana-6244	231	28	µ1	µ1	NOUN
cana-6244	231	29	)	)	PUNCT
cana-6244	231	30	dt	dt	NOUN
cana-6244	231	31	,	,	PUNCT
cana-6244	231	32	and	and	CCONJ
cana-6244	231	33	substituting	substitute	VERB
cana-6244	231	34	into	into	ADP
cana-6244	231	35	eq	eq	NOUN
cana-6244	231	36	.	.	PUNCT
cana-6244	232	1	(	(	PUNCT
cana-6244	232	2	40	40	NUM
cana-6244	232	3	)	)	PUNCT
cana-6244	232	4	,	,	PUNCT
cana-6244	232	5	we	we	PRON
cana-6244	232	6	find	find	VERB
cana-6244	232	7	that	that	SCONJ
cana-6244	232	8	k	k	PROPN
cana-6244	232	9	=	=	PUNCT
cana-6244	232	10	12	12	NUM
cana-6244	232	11	.	.	PUNCT
cana-6244	233	1	therefore	therefore	ADV
cana-6244	233	2	,	,	PUNCT
cana-6244	233	3	the	the	DET
cana-6244	233	4	transformation	transformation	NOUN
cana-6244	233	5	(	(	PUNCT
cana-6244	233	6	43	43	NUM
cana-6244	233	7	)	)	PUNCT
cana-6244	233	8	reduces	reduce	VERB
cana-6244	233	9	to	to	ADP
cana-6244	233	10	u	u	NOUN
cana-6244	233	11	=	=	NOUN
cana-6244	233	12	12(lnh)xx	12(lnh)xx	NUM
cana-6244	233	13	.	.	PUNCT
cana-6244	234	1	(	(	PUNCT
cana-6244	234	2	45	45	NUM
cana-6244	234	3	)	)	PUNCT
cana-6244	234	4	now	now	ADV
cana-6244	234	5	,	,	PUNCT
cana-6244	234	6	from	from	ADP
cana-6244	234	7	(	(	PUNCT
cana-6244	234	8	44	44	NUM
cana-6244	234	9	)	)	PUNCT
cana-6244	234	10	,	,	PUNCT
cana-6244	234	11	we	we	PRON
cana-6244	234	12	have	have	VERB
cana-6244	234	13	ut	ut	PROPN
cana-6244	234	14	=	=	PUNCT
cana-6244	234	15	wxxt	wxxt	NOUN
cana-6244	234	16	,	,	PUNCT
cana-6244	234	17	ux	ux	NOUN
cana-6244	234	18	=	=	SYM
cana-6244	234	19	wxxx	wxxx	PROPN
cana-6244	234	20	,	,	PUNCT
cana-6244	234	21	uxxx	uxxx	PROPN
cana-6244	234	22	=	=	SYM
cana-6244	234	23	wxxxxx	wxxxxx	PROPN
cana-6244	234	24	,	,	PUNCT
cana-6244	235	1	uyy	uyy	PROPN
cana-6244	235	2	=	=	PUNCT
cana-6244	235	3	wxxyy	wxxyy	NOUN
cana-6244	235	4	and	and	CCONJ
cana-6244	235	5	uxy	uxy	PRON
cana-6244	235	6	=	=	NOUN
cana-6244	235	7	wxxxy	wxxxy	NOUN
cana-6244	235	8	putting	put	VERB
cana-6244	235	9	the	the	DET
cana-6244	235	10	above	above	ADJ
cana-6244	235	11	expressions	expression	NOUN
cana-6244	235	12	into	into	ADP
cana-6244	235	13	eq.(40	eq.(40	NOUN
cana-6244	235	14	)	)	PUNCT
cana-6244	235	15	,	,	PUNCT
cana-6244	235	16	we	we	PRON
cana-6244	235	17	get	get	AUX
cana-6244	235	18	(	(	PUNCT
cana-6244	235	19	wxxt	wxxt	NOUN
cana-6244	235	20	+	+	CCONJ
cana-6244	235	21	wxxwxxx	wxxwxxx	NOUN
cana-6244	235	22	+	+	CCONJ
cana-6244	235	23	wxxxxx)x	wxxxxx)x	NOUN
cana-6244	236	1	+	+	PUNCT
cana-6244	236	2	3wxxyy	3wxxyy	NUM
cana-6244	236	3	+	+	NUM
cana-6244	236	4	g(t)wxxxy	g(t)wxxxy	NOUN
cana-6244	236	5	(	(	PUNCT
cana-6244	236	6	46)=	46)=	NUM
cana-6244	236	7	0	0	NUM
cana-6244	236	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	236	9	1222	1222	NUM
cana-6244	236	10	communications	communication	NOUN
cana-6244	236	11	on	on	ADP
cana-6244	236	12	applied	apply	VERB
cana-6244	236	13	nonlinear	nonlinear	ADJ
cana-6244	236	14	analysis	analysis	NOUN
cana-6244	236	15	issn	issn	NOUN
cana-6244	236	16	:	:	PUNCT
cana-6244	236	17	1074	1074	NUM
cana-6244	236	18	-	-	PUNCT
cana-6244	236	19	133x	133x	NUM
cana-6244	236	20	vol	vol	NOUN
cana-6244	236	21	31	31	NUM
cana-6244	236	22	no	no	NOUN
cana-6244	236	23	.	.	PUNCT
cana-6244	237	1	8s	8s	PROPN
cana-6244	237	2	(	(	PUNCT
cana-6244	237	3	2024	2024	NUM
cana-6244	237	4	)	)	PUNCT
cana-6244	237	5	on	on	ADP
cana-6244	237	6	integrating	integrate	VERB
cana-6244	237	7	w.r.t	w.r.t	NOUN
cana-6244	237	8	.	.	PUNCT
cana-6244	238	1	x	x	PUNCT
cana-6244	238	2	wxxt	wxxt	NOUN
cana-6244	238	3	+	+	CCONJ
cana-6244	238	4	wxxwxxx	wxxwxxx	NOUN
cana-6244	238	5	+	+	CCONJ
cana-6244	238	6	wxxxxx	wxxxxx	NOUN
cana-6244	238	7	+	+	CCONJ
cana-6244	238	8	3wxyy	3wxyy	NUM
cana-6244	238	9	+	+	NUM
cana-6244	238	10	g(t)wxxy	g(t)wxxy	NOUN
cana-6244	238	11	=	=	SYM
cana-6244	238	12	0	0	NUM
cana-6244	238	13	.	.	PUNCT
cana-6244	239	1	(	(	PUNCT
cana-6244	239	2	47	47	NUM
cana-6244	239	3	)	)	PUNCT
cana-6244	239	4	on	on	ADP
cana-6244	239	5	again	again	ADV
cana-6244	239	6	integrating	integrate	VERB
cana-6244	239	7	w.r.t	w.r.t	NOUN
cana-6244	239	8	.	.	PUNCT
cana-6244	240	1	x	x	X
cana-6244	240	2	wxt	wxt	PROPN
cana-6244	240	3	+	+	CCONJ
cana-6244	240	4	∫	∫	PROPN
cana-6244	240	5	wxxwxxx	wxxwxxx	PROPN
cana-6244	240	6	∂x+	∂x+	PROPN
cana-6244	240	7	wxxxx	wxxxx	PROPN
cana-6244	241	1	+	+	CCONJ
cana-6244	241	2	3wyy	3wyy	NUM
cana-6244	241	3	+	+	CCONJ
cana-6244	241	4	g(t)wxy	g(t)wxy	PROPN
cana-6244	241	5	=	=	SYM
cana-6244	241	6	0	0	NUM
cana-6244	241	7	.	.	PUNCT
cana-6244	242	1	(	(	PUNCT
cana-6244	242	2	48	48	NUM
cana-6244	242	3	)	)	PUNCT
cana-6244	242	4	we	we	PRON
cana-6244	242	5	compute	compute	VERB
cana-6244	242	6	integral	integral	ADJ
cana-6244	242	7	term	term	NOUN
cana-6244	242	8	in	in	ADP
cana-6244	242	9	equation	equation	NOUN
cana-6244	242	10	(	(	PUNCT
cana-6244	242	11	48	48	NUM
cana-6244	242	12	)	)	PUNCT
cana-6244	242	13	with	with	ADP
cana-6244	242	14	constant	constant	ADJ
cana-6244	242	15	of	of	ADP
cana-6244	242	16	integration	integration	NOUN
cana-6244	242	17	as	as	ADP
cana-6244	242	18	zero	zero	NUM
cana-6244	242	19	i	i	NOUN
cana-6244	243	1	=	=	SYM
cana-6244	244	1	∫	∫	PROPN
cana-6244	244	2	wxxwxxx	wxxwxxx	PROPN
cana-6244	244	3	∂x	∂x	PROPN
cana-6244	244	4	=	=	SYM
cana-6244	244	5	1	1	NUM
cana-6244	244	6	2	2	NUM
cana-6244	244	7	∫	∫	NOUN
cana-6244	244	8	2wxxwxxx	2wxxwxxx	NUM
cana-6244	244	9	∂x	∂x	PROPN
cana-6244	244	10	=	=	SYM
cana-6244	244	11	1	1	NUM
cana-6244	244	12	2	2	NUM
cana-6244	244	13	w2	w2	NOUN
cana-6244	244	14	xx	xx	NUM
cana-6244	244	15	,	,	PUNCT
cana-6244	244	16	(	(	PUNCT
cana-6244	244	17	49	49	NUM
cana-6244	244	18	)	)	PUNCT
cana-6244	244	19	substituting	substitute	VERB
cana-6244	244	20	the	the	DET
cana-6244	244	21	value	value	NOUN
cana-6244	244	22	of	of	ADP
cana-6244	244	23	i	i	PRON
cana-6244	244	24	in	in	ADP
cana-6244	244	25	equation	equation	NOUN
cana-6244	244	26	(	(	PUNCT
cana-6244	244	27	48	48	NUM
cana-6244	244	28	)	)	PUNCT
cana-6244	244	29	,	,	PUNCT
cana-6244	244	30	we	we	PRON
cana-6244	244	31	get	get	VERB
cana-6244	244	32	wxt	wxt	NOUN
cana-6244	244	33	+	+	CCONJ
cana-6244	244	34	w2	w2	NOUN
cana-6244	244	35	xx	xx	NUM
cana-6244	244	36	2	2	NUM
cana-6244	244	37	+	+	NUM
cana-6244	244	38	wxxxx	wxxxx	NOUN
cana-6244	244	39	+	+	X
cana-6244	244	40	3wyy	3wyy	NUM
cana-6244	244	41	+	+	CCONJ
cana-6244	244	42	g(t)wxy	g(t)wxy	PROPN
cana-6244	244	43	=	=	SYM
cana-6244	244	44	0	0	NUM
cana-6244	244	45	.	.	PUNCT
cana-6244	245	1	(	(	PUNCT
cana-6244	245	2	50	50	NUM
cana-6244	245	3	)	)	PUNCT
cana-6244	245	4	as	as	SCONJ
cana-6244	245	5	we	we	PRON
cana-6244	245	6	have	have	VERB
cana-6244	245	7	w	w	NOUN
cana-6244	245	8	=	=	ADJ
cana-6244	245	9	12(log	12(log	PROPN
cana-6244	245	10	h	h	NOUN
cana-6244	245	11	)	)	PUNCT
cana-6244	245	12	,	,	PUNCT
cana-6244	245	13	we	we	PRON
cana-6244	245	14	can	can	AUX
cana-6244	245	15	get	get	VERB
cana-6244	245	16	the	the	DET
cana-6244	245	17	followings	following	NOUN
cana-6244	245	18	:	:	PUNCT
cana-6244	245	19	wx	wx	X
cana-6244	245	20	=	=	SYM
cana-6244	245	21	12	12	NUM
cana-6244	245	22	hx	hx	NOUN
cana-6244	245	23	h	h	NOUN
cana-6244	245	24	,	,	PUNCT
cana-6244	245	25	wxt	wxt	X
cana-6244	245	26	=	=	SYM
cana-6244	245	27	12	12	NUM
cana-6244	245	28	hhxt	hhxt	NOUN
cana-6244	245	29	−	−	PROPN
cana-6244	245	30	hxht	hxht	NOUN
cana-6244	245	31	h2	h2	NOUN
cana-6244	245	32	,	,	PUNCT
cana-6244	245	33	wxx	wxx	VERB
cana-6244	245	34	=	=	NOUN
cana-6244	245	35	12	12	NUM
cana-6244	245	36	hhxx	hhxx	NOUN
cana-6244	245	37	−	−	PROPN
cana-6244	245	38	h2x	h2x	PROPN
cana-6244	245	39	h2	h2	PROPN
cana-6244	245	40	,	,	PUNCT
cana-6244	245	41	wxxx	wxxx	NOUN
cana-6244	245	42	=	=	PROPN
cana-6244	246	1	12	12	NUM
cana-6244	246	2	2h3x	2h3x	NUM
cana-6244	246	3	−	−	PROPN
cana-6244	247	1	3hhxhxx	3hhxhxx	NUM
cana-6244	247	2	+	+	CCONJ
cana-6244	247	3	h2hxxx	h2hxxx	ADJ
cana-6244	247	4	h3	h3	NOUN
cana-6244	247	5	,	,	PUNCT
cana-6244	247	6	wxxxx	wxxxx	NOUN
cana-6244	247	7	=	=	NOUN
cana-6244	247	8	12	12	NUM
cana-6244	247	9	−6h4x	−6h4x	NOUN
cana-6244	247	10	+	+	CCONJ
cana-6244	247	11	12hh2xhxx	12hh2xhxx	NUM
cana-6244	247	12	−	−	PROPN
cana-6244	247	13	3h2h2xx	3h2h2xx	NUM
cana-6244	247	14	−	−	NOUN
cana-6244	247	15	4hxh	4hxh	PROPN
cana-6244	247	16	2hxxx	2hxxx	NUM
cana-6244	247	17	h4	h4	NOUN
cana-6244	247	18	,	,	PUNCT
cana-6244	247	19	wyy	wyy	NOUN
cana-6244	247	20	=	=	SYM
cana-6244	247	21	12	12	NUM
cana-6244	247	22	hhyy	hhyy	NOUN
cana-6244	247	23	−	−	PROPN
cana-6244	247	24	h2y	h2y	PROPN
cana-6244	247	25	h2	h2	NOUN
cana-6244	247	26	,	,	PUNCT
cana-6244	247	27	wxy	wxy	PROPN
cana-6244	247	28	=	=	PROPN
cana-6244	247	29	12	12	NUM
cana-6244	247	30	hhxy	hhxy	NOUN
cana-6244	247	31	−	−	PROPN
cana-6244	247	32	hxhy	hxhy	PROPN
cana-6244	247	33	h2	h2	NOUN
cana-6244	247	34	,	,	PUNCT
cana-6244	247	35	which	which	PRON
cana-6244	247	36	converts	convert	VERB
cana-6244	247	37	eq.(40	eq.(40	NOUN
cana-6244	247	38	)	)	PUNCT
cana-6244	247	39	into	into	ADP
cana-6244	247	40	a	a	DET
cana-6244	247	41	bilinear	bilinear	NOUN
cana-6244	247	42	equation	equation	NOUN
cana-6244	247	43	in	in	ADP
cana-6244	247	44	h	h	NOUN
cana-6244	247	45	as	as	ADP
cana-6244	247	46	hhxt	hhxt	NOUN
cana-6244	247	47	−	−	PROPN
cana-6244	247	48	hxht	hxht	NOUN
cana-6244	247	49	+	+	CCONJ
cana-6244	248	1	3h2xx	3h2xx	NUM
cana-6244	248	2	−	−	PROPN
cana-6244	248	3	4hxhxxx	4hxhxxx	NUM
cana-6244	248	4	+	+	NUM
cana-6244	248	5	hhxxxx	hhxxxx	NOUN
cana-6244	248	6	+	+	CCONJ
cana-6244	248	7	3hhyy	3hhyy	NUM
cana-6244	248	8	−	−	PROPN
cana-6244	248	9	3h2y	3h2y	NOUN
cana-6244	248	10	−	−	PROPN
cana-6244	248	11	g(t)hyhx	g(t)hyhx	PUNCT
cana-6244	248	12	+	+	CCONJ
cana-6244	248	13	g(t)hhxy	g(t)hhxy	NOUN
cana-6244	248	14	=	=	SYM
cana-6244	248	15	0	0	NUM
cana-6244	248	16	.	.	PUNCT
cana-6244	249	1	(	(	PUNCT
cana-6244	249	2	51	51	NUM
cana-6244	249	3	)	)	PUNCT
cana-6244	249	4	since	since	SCONJ
cana-6244	249	5	hirota	hirota	PROPN
cana-6244	249	6	bilinear	bilinear	NOUN
cana-6244	249	7	operator	operator	NOUN
cana-6244	249	8	is	be	AUX
cana-6244	249	9	defined	define	VERB
cana-6244	249	10	as	as	ADP
cana-6244	249	11	dp	dp	NOUN
cana-6244	249	12	ad	ad	NOUN
cana-6244	249	13	q	q	X
cana-6244	249	14	bd	bd	PROPN
cana-6244	249	15	r	r	NOUN
cana-6244	249	16	c(h	c(h	PROPN
cana-6244	249	17	,	,	PUNCT
cana-6244	249	18	k	k	NOUN
cana-6244	249	19	)	)	PUNCT
cana-6244	249	20	=	=	SYM
cana-6244	249	21	lim	lim	PROPN
cana-6244	249	22	a′→a	a′→a	PROPN
cana-6244	249	23	,	,	PUNCT
cana-6244	249	24	b′→b	b′→b	PROPN
cana-6244	249	25	,	,	PUNCT
cana-6244	249	26	c′→c	c′→c	PROPN
cana-6244	249	27	(	(	PUNCT
cana-6244	249	28	∂	∂	NOUN
cana-6244	249	29	∂a	∂a	ADP
cana-6244	249	30	−	−	PROPN
cana-6244	249	31	∂	∂	NUM
cana-6244	249	32	∂a′	∂a′	NOUN
cana-6244	249	33	)	)	PUNCT
cana-6244	250	1	p	p	X
cana-6244	250	2	(	(	PUNCT
cana-6244	250	3	∂	∂	NOUN
cana-6244	250	4	∂b	∂b	PROPN
cana-6244	250	5	−	−	PROPN
cana-6244	250	6	∂	∂	NOUN
cana-6244	250	7	∂b′	∂b′	NOUN
cana-6244	250	8	)	)	PUNCT
cana-6244	250	9	q	q	NOUN
cana-6244	250	10	(	(	PUNCT
cana-6244	250	11	∂	∂	NOUN
cana-6244	250	12	∂c	∂c	NOUN
cana-6244	251	1	−	−	PROPN
cana-6244	251	2	∂	∂	NOUN
cana-6244	251	3	∂c′	∂c′	NOUN
cana-6244	251	4	)	)	PUNCT
cana-6244	251	5	r	r	NOUN
cana-6244	251	6	h(a	h(a	PROPN
cana-6244	251	7	,	,	PUNCT
cana-6244	251	8	b	b	PROPN
cana-6244	251	9	,	,	PUNCT
cana-6244	251	10	c)k(a′	c)k(a′	NOUN
cana-6244	251	11	,	,	PUNCT
cana-6244	251	12	b′	b′	NUM
cana-6244	251	13	,	,	PUNCT
cana-6244	251	14	c′	c′	NUM
cana-6244	251	15	)	)	PUNCT
cana-6244	251	16	.	.	PUNCT
cana-6244	252	1	let	let	VERB
cana-6244	252	2	p	p	NOUN
cana-6244	252	3	=	=	NOUN
cana-6244	252	4	1,q	1,q	NUM
cana-6244	252	5	=	=	SYM
cana-6244	252	6	0	0	NUM
cana-6244	252	7	and	and	CCONJ
cana-6244	252	8	r	r	NOUN
cana-6244	252	9	then=	then=	NUM
cana-6244	252	10	1	1	NUM
cana-6244	252	11	,	,	PUNCT
cana-6244	252	12	dxdt(h.k	dxdt(h.k	NOUN
cana-6244	252	13	)	)	PUNCT
cana-6244	252	14	=	=	SYM
cana-6244	253	1	hxtk	hxtk	ADV
cana-6244	253	2	−	−	PROPN
cana-6244	253	3	htkx	htkx	NOUN
cana-6244	253	4	−	−	PROPN
cana-6244	253	5	hxkt	hxkt	NOUN
cana-6244	253	6	+	+	CCONJ
cana-6244	253	7	hkxt	hkxt	NOUN
cana-6244	253	8	,	,	PUNCT
cana-6244	253	9	dxdt(h.h	dxdt(h.h	PROPN
cana-6244	253	10	)	)	PUNCT
cana-6244	253	11	=	=	SYM
cana-6244	253	12	2	2	NUM
cana-6244	253	13	(	(	PUNCT
cana-6244	253	14	hhxt	hhxt	NOUN
cana-6244	253	15	−	−	PROPN
cana-6244	253	16	hxht	hxht	NOUN
cana-6244	253	17	)	)	PUNCT
cana-6244	253	18	let	let	VERB
cana-6244	253	19	p	p	NOUN
cana-6244	253	20	=	=	NOUN
cana-6244	253	21	4	4	NUM
cana-6244	253	22	,	,	PUNCT
cana-6244	253	23	q	q	NOUN
cana-6244	253	24	=	=	SYM
cana-6244	253	25	0	0	NUM
cana-6244	253	26	and	and	CCONJ
cana-6244	253	27	r	r	NOUN
cana-6244	253	28	=	=	SYM
cana-6244	253	29	0	0	NUM
cana-6244	253	30	,	,	PUNCT
cana-6244	253	31	then	then	ADV
cana-6244	253	32	dx	dx	PROPN
cana-6244	253	33	4(h.k	4(h.k	NUM
cana-6244	253	34	)	)	PUNCT
cana-6244	253	35	=	=	PRON
cana-6244	253	36	hxxxxk	hxxxxk	VERB
cana-6244	253	37	−	−	PROPN
cana-6244	253	38	4hxxxkx	4hxxxkx	NUM
cana-6244	253	39	+	+	CCONJ
cana-6244	254	1	6hxxkxx	6hxxkxx	NUM
cana-6244	254	2	−	−	PROPN
cana-6244	254	3	4hxkxxx	4hxkxxx	NUM
cana-6244	254	4	+	+	NUM
cana-6244	254	5	hkxxxx	hkxxxx	ADJ
cana-6244	254	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	254	7	1223	1223	NUM
cana-6244	254	8	communications	communication	NOUN
cana-6244	254	9	on	on	ADP
cana-6244	254	10	applied	apply	VERB
cana-6244	254	11	nonlinear	nonlinear	ADJ
cana-6244	254	12	analysis	analysis	NOUN
cana-6244	254	13	issn	issn	NOUN
cana-6244	254	14	:	:	PUNCT
cana-6244	254	15	1074	1074	NUM
cana-6244	254	16	-	-	PUNCT
cana-6244	254	17	133x	133x	NUM
cana-6244	254	18	vol	vol	NOUN
cana-6244	254	19	31	31	NUM
cana-6244	254	20	no	no	NOUN
cana-6244	254	21	.	.	PUNCT
cana-6244	255	1	8s	8s	PROPN
cana-6244	255	2	(	(	PUNCT
cana-6244	255	3	2024	2024	NUM
cana-6244	255	4	)	)	PUNCT
cana-6244	255	5	d4	d4	PROPN
cana-6244	255	6	x(h.h	x(h.h	PROPN
cana-6244	255	7	)	)	PUNCT
cana-6244	255	8	=	=	SYM
cana-6244	255	9	2	2	NUM
cana-6244	255	10	(	(	PUNCT
cana-6244	255	11	3h2xx	3h2xx	NUM
cana-6244	255	12	−	−	PROPN
cana-6244	255	13	4hxhxxx	4hxhxxx	NUM
cana-6244	255	14	+	+	NUM
cana-6244	255	15	hhxxxx	hhxxxx	NOUN
cana-6244	255	16	)	)	PUNCT
cana-6244	255	17	let	let	VERB
cana-6244	255	18	p	p	NOUN
cana-6244	255	19	=	=	NOUN
cana-6244	255	20	0	0	NUM
cana-6244	255	21	,	,	PUNCT
cana-6244	255	22	q	q	NOUN
cana-6244	255	23	=	=	SYM
cana-6244	255	24	2	2	NUM
cana-6244	255	25	and	and	CCONJ
cana-6244	255	26	r	r	NOUN
cana-6244	255	27	then=	then=	NUM
cana-6244	255	28	0	0	NUM
cana-6244	255	29	,	,	PUNCT
cana-6244	255	30	d2	d2	PROPN
cana-6244	255	31	y(h.k	y(h.k	NOUN
cana-6244	255	32	)	)	PUNCT
cana-6244	256	1	=	=	SYM
cana-6244	256	2	hyyk	hyyk	NOUN
cana-6244	256	3	+	+	CCONJ
cana-6244	256	4	hkyy	hkyy	NOUN
cana-6244	256	5	+	+	CCONJ
cana-6244	256	6	2hyky	2hyky	NUM
cana-6244	256	7	d2	d2	PROPN
cana-6244	256	8	y(h.h	y(h.h	PROPN
cana-6244	256	9	)	)	PUNCT
cana-6244	256	10	=	=	SYM
cana-6244	256	11	2	2	NUM
cana-6244	256	12	(	(	PUNCT
cana-6244	256	13	hhyy	hhyy	NOUN
cana-6244	256	14	−	−	PROPN
cana-6244	256	15	h2y	h2y	PROPN
cana-6244	256	16	)	)	PUNCT
cana-6244	256	17	let	let	VERB
cana-6244	256	18	p	p	NOUN
cana-6244	256	19	=	=	NOUN
cana-6244	256	20	1,q	1,q	NUM
cana-6244	256	21	=	=	SYM
cana-6244	256	22	1	1	NUM
cana-6244	256	23	and	and	CCONJ
cana-6244	256	24	r	r	NOUN
cana-6244	256	25	=	=	SYM
cana-6244	256	26	0	0	NUM
cana-6244	256	27	,	,	PUNCT
cana-6244	256	28	then	then	ADV
cana-6244	256	29	dxdy(h.k	dxdy(h.k	AUX
cana-6244	256	30	)	)	PUNCT
cana-6244	257	1	=	=	SYM
cana-6244	257	2	hxyk	hxyk	NOUN
cana-6244	257	3	−	−	PROPN
cana-6244	257	4	hykx	hykx	NOUN
cana-6244	257	5	−	−	NOUN
cana-6244	257	6	hxky	hxky	NOUN
cana-6244	257	7	+	+	CCONJ
cana-6244	257	8	hkxy	hkxy	NOUN
cana-6244	257	9	,	,	PUNCT
cana-6244	257	10	dxdy(h.h	dxdy(h.h	NOUN
cana-6244	257	11	)	)	PUNCT
cana-6244	257	12	=	=	SYM
cana-6244	257	13	2	2	NUM
cana-6244	257	14	(	(	PUNCT
cana-6244	257	15	hhxy	hhxy	NOUN
cana-6244	257	16	−	−	PROPN
cana-6244	257	17	hxhy	hxhy	NOUN
cana-6244	257	18	)	)	PUNCT
cana-6244	257	19	therefore	therefore	ADV
cana-6244	257	20	,	,	PUNCT
cana-6244	257	21	using	use	VERB
cana-6244	257	22	bilinear	bilinear	NOUN
cana-6244	257	23	differentials	differential	NOUN
cana-6244	257	24	d	d	NOUN
cana-6244	257	25	,	,	PUNCT
cana-6244	257	26	the	the	DET
cana-6244	257	27	eq	eq	NOUN
cana-6244	257	28	.	.	PUNCT
cana-6244	258	1	(	(	PUNCT
cana-6244	258	2	51	51	NUM
cana-6244	258	3	)	)	PUNCT
cana-6244	258	4	gives	give	VERB
cana-6244	258	5	the	the	DET
cana-6244	258	6	hirota	hirota	NOUN
cana-6244	258	7	’s	’s	PART
cana-6244	258	8	bilinear	bilinear	PROPN
cana-6244	258	9	form	form	NOUN
cana-6244	258	10	as	as	ADP
cana-6244	258	11	[	[	PUNCT
cana-6244	258	12	dxdt	dxdt	NOUN
cana-6244	258	13	+	+	PROPN
cana-6244	258	14	d4	d4	PROPN
cana-6244	258	15	x	x	PUNCT
cana-6244	259	1	+	+	NUM
cana-6244	260	1	3d2	3d2	NUM
cana-6244	260	2	y	y	NOUN
cana-6244	260	3	+	+	CCONJ
cana-6244	260	4	g(t)dxdy	g(t)dxdy	X
cana-6244	260	5	]	]	X
cana-6244	260	6	h.h	h.h	PROPN
cana-6244	260	7	(	(	PUNCT
cana-6244	260	8	52)=	52)=	NOUN
cana-6244	260	9	0	0	NUM
cana-6244	261	1	this	this	DET
cana-6244	261	2	equation	equation	NOUN
cana-6244	261	3	(	(	PUNCT
cana-6244	261	4	52	52	NUM
cana-6244	261	5	)	)	PUNCT
cana-6244	261	6	is	be	AUX
cana-6244	261	7	called	call	VERB
cana-6244	261	8	the	the	DET
cana-6244	261	9	hirota	hirota	PROPN
cana-6244	261	10	bilinear	bilinear	NOUN
cana-6244	261	11	form	form	NOUN
cana-6244	261	12	for	for	ADP
cana-6244	261	13	kp	kp	PROPN
cana-6244	261	14	equation	equation	NOUN
cana-6244	261	15	with	with	ADP
cana-6244	261	16	variable	variable	ADJ
cana-6244	261	17	coefficient	coefficient	NOUN
cana-6244	261	18	(	(	PUNCT
cana-6244	261	19	40	40	NUM
cana-6244	261	20	)	)	PUNCT
cana-6244	261	21	.	.	PUNCT
cana-6244	262	1	3.5	3.5	NUM
cana-6244	262	2	graphene	graphene	NOUN
cana-6244	262	3	-	-	PUNCT
cana-6244	262	4	sheets	sheet	NOUN
cana-6244	262	5	equation	equation	NOUN
cana-6244	262	6	in	in	ADP
cana-6244	262	7	(	(	PUNCT
cana-6244	262	8	2	2	NUM
cana-6244	262	9	+	+	NOUN
cana-6244	262	10	1)-dimensions	1)-dimensions	NUM
cana-6244	262	11	let	let	VERB
cana-6244	262	12	us	we	PRON
cana-6244	262	13	consider	consider	VERB
cana-6244	262	14	a	a	DET
cana-6244	262	15	variable	variable	ADJ
cana-6244	262	16	-	-	PUNCT
cana-6244	262	17	coefficient	coefficient	NOUN
cana-6244	262	18	equation	equation	NOUN
cana-6244	262	19	that	that	PRON
cana-6244	262	20	models	model	VERB
cana-6244	262	21	the	the	DET
cana-6244	262	22	thermophoretic	thermophoretic	ADJ
cana-6244	262	23	waves	wave	NOUN
cana-6244	262	24	in	in	ADP
cana-6244	262	25	graphene	graphene	NOUN
cana-6244	262	26	sheets	sheet	NOUN
cana-6244	262	27	[	[	X
cana-6244	262	28	26	26	NUM
cana-6244	262	29	]	]	PUNCT
cana-6244	262	30	.	.	PUNCT
cana-6244	263	1	the	the	DET
cana-6244	263	2	equation	equation	NOUN
cana-6244	263	3	is	be	AUX
cana-6244	263	4	expressed	express	VERB
cana-6244	263	5	as	as	ADP
cana-6244	263	6	uxt	uxt	NOUN
cana-6244	263	7	+	+	CCONJ
cana-6244	263	8	(	(	PUNCT
cana-6244	263	9	uux	uux	PROPN
cana-6244	263	10	+	+	PROPN
cana-6244	263	11	uxxx	uxxx	PROPN
cana-6244	263	12	+	+	CCONJ
cana-6244	263	13	(	(	PUNCT
cana-6244	263	14	α(t	α(t	NUM
cana-6244	263	15	)	)	PUNCT
cana-6244	263	16	+	+	CCONJ
cana-6244	264	1	β)ux	β)ux	PROPN
cana-6244	264	2	)	)	PUNCT
cana-6244	265	1	x	x	PUNCT
cana-6244	266	1	+	+	CCONJ
cana-6244	266	2	γ(t)uyy	γ(t)uyy	NOUN
cana-6244	266	3	=	=	SYM
cana-6244	266	4	0	0	NUM
cana-6244	266	5	,	,	PUNCT
cana-6244	266	6	(	(	PUNCT
cana-6244	266	7	53	53	NUM
cana-6244	266	8	)	)	PUNCT
cana-6244	266	9	where	where	SCONJ
cana-6244	266	10	u	u	NOUN
cana-6244	266	11	=	=	SYM
cana-6244	266	12	u(x	u(x	PROPN
cana-6244	266	13	,	,	PUNCT
cana-6244	266	14	y	y	PROPN
cana-6244	266	15	,	,	PUNCT
cana-6244	266	16	t	t	PROPN
cana-6244	266	17	)	)	PUNCT
cana-6244	266	18	represents	represent	VERB
cana-6244	266	19	the	the	DET
cana-6244	266	20	thermophoretic	thermophoretic	ADJ
cana-6244	266	21	displacement	displacement	NOUN
cana-6244	266	22	,	,	PUNCT
cana-6244	266	23	x	x	PUNCT
cana-6244	266	24	and	and	CCONJ
cana-6244	266	25	y	y	PROPN
cana-6244	266	26	are	be	AUX
cana-6244	266	27	the	the	DET
cana-6244	266	28	longitudinal	longitudinal	ADJ
cana-6244	266	29	and	and	CCONJ
cana-6244	266	30	lateral	lateral	ADJ
cana-6244	266	31	coordinates	coordinate	NOUN
cana-6244	266	32	,	,	PUNCT
cana-6244	266	33	t	t	PROPN
cana-6244	266	34	is	be	AUX
cana-6244	266	35	time	time	NOUN
cana-6244	266	36	,	,	PUNCT
cana-6244	266	37	α(t	α(t	PROPN
cana-6244	266	38	)	)	PUNCT
cana-6244	266	39	and	and	CCONJ
cana-6244	266	40	β	β	X
cana-6244	266	41	denote	denote	NOUN
cana-6244	266	42	coefficient	coefficient	NOUN
cana-6244	266	43	of	of	ADP
cana-6244	266	44	thermal	thermal	ADJ
cana-6244	266	45	conductivity	conductivity	NOUN
cana-6244	266	46	and	and	CCONJ
cana-6244	266	47	γ(t	γ(t	NOUN
cana-6244	266	48	)	)	PUNCT
cana-6244	266	49	as	as	ADP
cana-6244	266	50	lateral	lateral	ADJ
cana-6244	266	51	dispersion	dispersion	NOUN
cana-6244	266	52	coefficient	coefficient	NOUN
cana-6244	266	53	.	.	PUNCT
cana-6244	267	1	we	we	PRON
cana-6244	267	2	take	take	VERB
cana-6244	267	3	the	the	DET
cana-6244	267	4	phase	phase	NOUN
cana-6244	267	5	variable	variable	NOUN
cana-6244	267	6	as	as	ADP
cana-6244	267	7	ξi	ξi	NOUN
cana-6244	267	8	=	=	SYM
cana-6244	267	9	µix+	µix+	ADP
cana-6244	267	10	viy	viy	ADV
cana-6244	267	11	−	−	PROPN
cana-6244	267	12	di(t	di(t	NOUN
cana-6244	267	13	)	)	PUNCT
cana-6244	267	14	,	,	PUNCT
cana-6244	267	15	(	(	PUNCT
cana-6244	267	16	54	54	NUM
cana-6244	267	17	)	)	PUNCT
cana-6244	268	1	where	where	SCONJ
cana-6244	268	2	µi	µi	PROPN
cana-6244	268	3	,	,	PUNCT
cana-6244	268	4	vi	vi	PROPN
cana-6244	268	5	(	(	PUNCT
cana-6244	268	6	i	i	NOUN
cana-6244	268	7	=	=	NOUN
cana-6244	268	8	1	1	NUM
cana-6244	268	9	,	,	PUNCT
cana-6244	268	10	2	2	NUM
cana-6244	268	11	,	,	PUNCT
cana-6244	268	12	.	.	PUNCT
cana-6244	268	13	.	.	PUNCT
cana-6244	268	14	.	.	PUNCT
cana-6244	268	15	)	)	PUNCT
cana-6244	269	1	are	be	AUX
cana-6244	269	2	constants	constant	NOUN
cana-6244	269	3	and	and	CCONJ
cana-6244	269	4	di(t	di(t	NOUN
cana-6244	269	5	)	)	PUNCT
cana-6244	270	1	is	be	AUX
cana-6244	270	2	a	a	DET
cana-6244	270	3	time	time	NOUN
cana-6244	270	4	-	-	PUNCT
cana-6244	270	5	dependent	dependent	ADJ
cana-6244	270	6	dispersion	dispersion	NOUN
cana-6244	270	7	function	function	NOUN
cana-6244	270	8	.	.	PUNCT
cana-6244	271	1	substituting	substitute	VERB
cana-6244	271	2	u	u	NOUN
cana-6244	271	3	=	=	PROPN
cana-6244	271	4	eξi	eξi	PROPN
cana-6244	271	5	into	into	ADP
cana-6244	271	6	the	the	DET
cana-6244	271	7	linear	linear	ADJ
cana-6244	271	8	part	part	NOUN
cana-6244	271	9	of	of	ADP
cana-6244	271	10	eq	eq	PROPN
cana-6244	271	11	.	.	PUNCT
cana-6244	272	1	(	(	PUNCT
cana-6244	272	2	53	53	NUM
cana-6244	272	3	)	)	PUNCT
cana-6244	272	4	gives	give	VERB
cana-6244	272	5	uxt	uxt	NOUN
cana-6244	272	6	+	+	CCONJ
cana-6244	272	7	uxxxx	uxxxx	PROPN
cana-6244	272	8	+	+	CCONJ
cana-6244	272	9	(	(	PUNCT
cana-6244	272	10	α(t	α(t	NUM
cana-6244	272	11	)	)	PUNCT
cana-6244	272	12	+	+	CCONJ
cana-6244	273	1	β)uxx	β)uxx	PROPN
cana-6244	273	2	+	+	NUM
cana-6244	273	3	γ(t)uyy	γ(t)uyy	NOUN
cana-6244	273	4	=	=	NOUN
cana-6244	273	5	0	0	X
cana-6244	273	6	.	.	PUNCT
cana-6244	274	1	the	the	DET
cana-6244	274	2	relevant	relevant	ADJ
cana-6244	274	3	derivatives	derivative	NOUN
cana-6244	274	4	are	be	AUX
cana-6244	274	5	ut	ut	PROPN
cana-6244	274	6	=	=	SYM
cana-6244	274	7	−di′(t)u	−di′(t)u	PROPN
cana-6244	274	8	,	,	PUNCT
cana-6244	274	9	uxxxx	uxxxx	ADJ
cana-6244	274	10	=	=	PUNCT
cana-6244	274	11	µi	µi	PROPN
cana-6244	274	12	4u	4u	NOUN
cana-6244	274	13	,	,	PUNCT
cana-6244	274	14	uxx	uxx	PROPN
cana-6244	274	15	=	=	PUNCT
cana-6244	275	1	µi	µi	PROPN
cana-6244	275	2	2u	2u	PROPN
cana-6244	275	3	,	,	PUNCT
cana-6244	275	4	uyy	uyy	PROPN
cana-6244	275	5	=	=	PROPN
cana-6244	275	6	vi	vi	PROPN
cana-6244	275	7	2u	2u	NOUN
cana-6244	275	8	.	.	PUNCT
cana-6244	276	1	substituting	substitute	VERB
cana-6244	276	2	these	these	PRON
cana-6244	276	3	into	into	ADP
cana-6244	276	4	the	the	DET
cana-6244	276	5	linearized	linearize	VERB
cana-6244	276	6	equation	equation	NOUN
cana-6244	276	7	leads	lead	VERB
cana-6244	276	8	to	to	ADP
cana-6244	276	9	−di′(t)u+	−di′(t)u+	PROPN
cana-6244	276	10	µi	µi	PROPN
cana-6244	276	11	4u+	4u+	NUM
cana-6244	276	12	(	(	PUNCT
cana-6244	276	13	α(t	α(t	PROPN
cana-6244	276	14	)	)	PUNCT
cana-6244	276	15	+	+	PUNCT
cana-6244	277	1	β)µi	β)µi	ADV
cana-6244	277	2	2u+	2u+	NUM
cana-6244	277	3	γ(t)vi	γ(t)vi	NOUN
cana-6244	277	4	2u	2u	NOUN
cana-6244	277	5	=	=	SYM
cana-6244	277	6	0	0	NUM
cana-6244	277	7	,	,	PUNCT
cana-6244	277	8	which	which	PRON
cana-6244	277	9	simplifies	simplify	VERB
cana-6244	277	10	to	to	ADP
cana-6244	277	11	−di′(t	−di′(t	PROPN
cana-6244	277	12	)	)	PUNCT
cana-6244	278	1	+	+	CCONJ
cana-6244	278	2	µi	µi	PROPN
cana-6244	278	3	4	4	NUM
cana-6244	278	4	+	+	NOUN
cana-6244	278	5	µi	µi	ADP
cana-6244	278	6	2α(t	2α(t	NUM
cana-6244	278	7	)	)	PUNCT
cana-6244	279	1	+	+	CCONJ
cana-6244	279	2	µi	µi	ADP
cana-6244	279	3	2β	2β	NOUN
cana-6244	279	4	+	+	CCONJ
cana-6244	279	5	γ(t)vi	γ(t)vi	SYM
cana-6244	279	6	2	2	NUM
cana-6244	279	7	=	=	SYM
cana-6244	279	8	0	0	NUM
cana-6244	279	9	.	.	PUNCT
cana-6244	280	1	solving	solve	VERB
cana-6244	280	2	for	for	ADP
cana-6244	280	3	di	di	NOUN
cana-6244	280	4	′(t	′(t	PROPN
cana-6244	280	5	)	)	PUNCT
cana-6244	280	6	gives	give	VERB
cana-6244	280	7	di	di	NOUN
cana-6244	280	8	′(t	′(t	NOUN
cana-6244	280	9	)	)	PUNCT
cana-6244	281	1	=	=	PUNCT
cana-6244	281	2	µi	µi	ADP
cana-6244	281	3	4	4	NUM
cana-6244	281	4	+	+	CCONJ
cana-6244	281	5	µi	µi	ADP
cana-6244	281	6	2α(t	2α(t	NUM
cana-6244	281	7	)	)	PUNCT
cana-6244	282	1	+	+	CCONJ
cana-6244	282	2	µi	µi	ADP
cana-6244	282	3	2β	2β	NOUN
cana-6244	282	4	+	+	CCONJ
cana-6244	282	5	γ(t)vi	γ(t)vi	NUM
cana-6244	282	6	2	2	NUM
cana-6244	282	7	,	,	PUNCT
cana-6244	282	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	282	9	1224	1224	NUM
cana-6244	282	10	communications	communication	NOUN
cana-6244	282	11	on	on	ADP
cana-6244	282	12	applied	apply	VERB
cana-6244	282	13	nonlinear	nonlinear	ADJ
cana-6244	282	14	analysis	analysis	NOUN
cana-6244	282	15	issn	issn	NOUN
cana-6244	282	16	:	:	PUNCT
cana-6244	282	17	1074	1074	NUM
cana-6244	282	18	-	-	PUNCT
cana-6244	282	19	133x	133x	NUM
cana-6244	282	20	vol	vol	NOUN
cana-6244	282	21	31	31	NUM
cana-6244	282	22	no	no	NOUN
cana-6244	282	23	.	.	PUNCT
cana-6244	283	1	8s	8s	PROPN
cana-6244	283	2	(	(	PUNCT
cana-6244	283	3	2024	2024	NUM
cana-6244	283	4	)	)	PUNCT
cana-6244	283	5	and	and	CCONJ
cana-6244	283	6	integrating	integrate	VERB
cana-6244	283	7	over	over	ADP
cana-6244	283	8	time	time	NOUN
cana-6244	283	9	yields	yield	VERB
cana-6244	283	10	the	the	DET
cana-6244	283	11	dispersion	dispersion	NOUN
cana-6244	283	12	relation	relation	NOUN
cana-6244	283	13	di(t	di(t	NOUN
cana-6244	283	14	)	)	PUNCT
cana-6244	284	1	=	=	SYM
cana-6244	284	2	∫	∫	PROPN
cana-6244	285	1	µ4i	µ4i	NOUN
cana-6244	285	2	+	+	CCONJ
cana-6244	285	3	µ2iα(t	µ2iα(t	PROPN
cana-6244	285	4	)	)	PUNCT
cana-6244	285	5	+	+	NUM
cana-6244	285	6	γ(t)v2i	γ(t)v2i	NOUN
cana-6244	285	7	+	+	CCONJ
cana-6244	285	8	µ2iβ	µ2iβ	PUNCT
cana-6244	285	9	µi	µi	ADP
cana-6244	285	10	dt	dt	PROPN
cana-6244	285	11	.	.	PUNCT
cana-6244	286	1	(	(	PUNCT
cana-6244	286	2	55	55	NUM
cana-6244	286	3	)	)	PUNCT
cana-6244	286	4	to	to	PART
cana-6244	286	5	construct	construct	VERB
cana-6244	286	6	solutions	solution	NOUN
cana-6244	286	7	,	,	PUNCT
cana-6244	286	8	we	we	PRON
cana-6244	286	9	employ	employ	VERB
cana-6244	286	10	thetransformation	thetransformation	NOUN
cana-6244	286	11	u(x	u(x	NOUN
cana-6244	286	12	,	,	PUNCT
cana-6244	286	13	y	y	PROPN
cana-6244	286	14	,	,	PUNCT
cana-6244	286	15	t	t	PROPN
cana-6244	286	16	)	)	PUNCT
cana-6244	286	17	=	=	PUNCT
cana-6244	287	1	k(lnh)xx	k(lnh)xx	NOUN
cana-6244	287	2	,	,	PUNCT
cana-6244	287	3	(	(	PUNCT
cana-6244	287	4	56	56	NUM
cana-6244	287	5	)	)	PUNCT
cana-6244	287	6	which	which	PRON
cana-6244	287	7	can	can	AUX
cana-6244	287	8	equivalently	equivalently	ADV
cana-6244	287	9	be	be	AUX
cana-6244	287	10	written	write	VERB
cana-6244	287	11	as	as	ADP
cana-6244	287	12	u	u	NOUN
cana-6244	287	13	=	=	PROPN
cana-6244	287	14	wxx	wxx	PROPN
cana-6244	287	15	,	,	PUNCT
cana-6244	287	16	where	where	SCONJ
cana-6244	287	17	w	w	PROPN
cana-6244	287	18	=	=	SYM
cana-6244	287	19	k(lnh	k(lnh	PROPN
cana-6244	287	20	)	)	PUNCT
cana-6244	287	21	.	.	PUNCT
cana-6244	288	1	(	(	PUNCT
cana-6244	288	2	57	57	NUM
cana-6244	288	3	)	)	PUNCT
cana-6244	288	4	choosing	choose	VERB
cana-6244	288	5	the	the	DET
cana-6244	288	6	auxiliary	auxiliary	ADJ
cana-6244	288	7	function	function	NOUN
cana-6244	288	8	h(x	h(x	PROPN
cana-6244	288	9	,	,	PUNCT
cana-6244	288	10	y	y	PROPN
cana-6244	288	11	,	,	PUNCT
cana-6244	288	12	t	t	PROPN
cana-6244	288	13	)	)	PUNCT
cana-6244	288	14	=	=	SYM
cana-6244	289	1	1	1	NUM
cana-6244	289	2	+	+	CCONJ
cana-6244	289	3	eξ1	eξ1	NOUN
cana-6244	289	4	,	,	PUNCT
cana-6244	289	5	with	with	ADP
cana-6244	289	6	ξ1	ξ1	NOUN
cana-6244	289	7	=	=	SYM
cana-6244	289	8	µ1x+	µ1x+	PROPN
cana-6244	289	9	v1y	v1y	PUNCT
cana-6244	289	10	−	−	PROPN
cana-6244	289	11	∫	∫	PROPN
cana-6244	289	12	µ41	µ41	NOUN
cana-6244	289	13	+	+	CCONJ
cana-6244	289	14	µ21α(t	µ21α(t	PROPN
cana-6244	289	15	)	)	PUNCT
cana-6244	290	1	+	+	NUM
cana-6244	290	2	γ(t)v21	γ(t)v21	PRON
cana-6244	290	3	+	+	CCONJ
cana-6244	290	4	µ21β	µ21β	NOUN
cana-6244	290	5	µ1	µ1	VERB
cana-6244	290	6	dt	dt	NOUN
cana-6244	290	7	,	,	PUNCT
cana-6244	290	8	and	and	CCONJ
cana-6244	290	9	substituting	substitute	VERB
cana-6244	290	10	into	into	ADP
cana-6244	290	11	eq	eq	NOUN
cana-6244	290	12	.	.	PUNCT
cana-6244	291	1	(	(	PUNCT
cana-6244	291	2	53	53	NUM
cana-6244	291	3	)	)	PUNCT
cana-6244	291	4	,	,	PUNCT
cana-6244	291	5	we	we	PRON
cana-6244	291	6	find	find	VERB
cana-6244	291	7	k	k	NOUN
cana-6244	291	8	=	=	SYM
cana-6244	291	9	12	12	NUM
cana-6244	291	10	.	.	PUNCT
cana-6244	292	1	therefore	therefore	ADV
cana-6244	292	2	,	,	PUNCT
cana-6244	292	3	the	the	DET
cana-6244	292	4	transformation	transformation	NOUN
cana-6244	292	5	(	(	PUNCT
cana-6244	292	6	56	56	NUM
cana-6244	292	7	)	)	PUNCT
cana-6244	292	8	reduces	reduce	VERB
cana-6244	292	9	to	to	ADP
cana-6244	292	10	u	u	NOUN
cana-6244	292	11	=	=	NOUN
cana-6244	292	12	12(lnh)xx	12(lnh)xx	NUM
cana-6244	292	13	.	.	PUNCT
cana-6244	293	1	(	(	PUNCT
cana-6244	293	2	58	58	NUM
cana-6244	293	3	)	)	PUNCT
cana-6244	293	4	now	now	ADV
cana-6244	293	5	,	,	PUNCT
cana-6244	293	6	from	from	ADP
cana-6244	293	7	(	(	PUNCT
cana-6244	293	8	57	57	NUM
cana-6244	293	9	)	)	PUNCT
cana-6244	293	10	,	,	PUNCT
cana-6244	293	11	we	we	PRON
cana-6244	293	12	have	have	VERB
cana-6244	293	13	uxt	uxt	NOUN
cana-6244	293	14	=	=	SYM
cana-6244	293	15	wxxxt	wxxxt	NOUN
cana-6244	293	16	,	,	PUNCT
cana-6244	293	17	ux	ux	PROPN
cana-6244	293	18	=	=	SYM
cana-6244	293	19	wxxx	wxxx	PROPN
cana-6244	293	20	,	,	PUNCT
cana-6244	293	21	uxxx	uxxx	PROPN
cana-6244	293	22	=	=	SYM
cana-6244	293	23	wxxxxx	wxxxxx	PROPN
cana-6244	293	24	and	and	CCONJ
cana-6244	293	25	uyy	uyy	PROPN
cana-6244	294	1	=	=	NOUN
cana-6244	294	2	wxxyy	wxxyy	NOUN
cana-6244	294	3	putting	put	VERB
cana-6244	294	4	the	the	DET
cana-6244	294	5	above	above	ADJ
cana-6244	294	6	expressions	expression	NOUN
cana-6244	294	7	into	into	ADP
cana-6244	294	8	eq.(53	eq.(53	NOUN
cana-6244	294	9	)	)	PUNCT
cana-6244	294	10	,	,	PUNCT
cana-6244	294	11	we	we	PRON
cana-6244	294	12	get	get	VERB
cana-6244	294	13	wxxxt	wxxxt	NOUN
cana-6244	294	14	+	+	CCONJ
cana-6244	294	15	(	(	PUNCT
cana-6244	294	16	wxxwxxx	wxxwxxx	NOUN
cana-6244	294	17	+	+	NUM
cana-6244	294	18	wxxxxx	wxxxxx	PROPN
cana-6244	294	19	+	+	CCONJ
cana-6244	294	20	(	(	PUNCT
cana-6244	294	21	α(t	α(t	NUM
cana-6244	294	22	)	)	PUNCT
cana-6244	294	23	+	+	CCONJ
cana-6244	294	24	β)wxxx)x	β)wxxx)x	ADJ
cana-6244	295	1	+	+	CCONJ
cana-6244	295	2	γ(t)wxxyy	γ(t)wxxyy	NUM
cana-6244	295	3	(	(	PUNCT
cana-6244	295	4	59)=	59)=	NOUN
cana-6244	295	5	0	0	NUM
cana-6244	295	6	on	on	ADP
cana-6244	295	7	integrating	integrate	VERB
cana-6244	295	8	w.r.t	w.r.t	NOUN
cana-6244	295	9	.	.	PUNCT
cana-6244	296	1	x	x	PUNCT
cana-6244	296	2	wxxt	wxxt	NOUN
cana-6244	296	3	+	+	CCONJ
cana-6244	296	4	wxxwxxx	wxxwxxx	NOUN
cana-6244	296	5	+	+	CCONJ
cana-6244	296	6	wxxxxx	wxxxxx	NOUN
cana-6244	296	7	+	+	CCONJ
cana-6244	296	8	(	(	PUNCT
cana-6244	296	9	α(t	α(t	NUM
cana-6244	296	10	)	)	PUNCT
cana-6244	296	11	+	+	SYM
cana-6244	296	12	β)wxxx	β)wxxx	X
cana-6244	296	13	+	+	CCONJ
cana-6244	296	14	γ(t)wxyy	γ(t)wxyy	NOUN
cana-6244	296	15	(	(	PUNCT
cana-6244	296	16	60)=	60)=	NUM
cana-6244	296	17	0	0	NUM
cana-6244	296	18	on	on	ADP
cana-6244	296	19	again	again	ADV
cana-6244	296	20	integrating	integrate	VERB
cana-6244	296	21	w.r.t	w.r.t	NOUN
cana-6244	296	22	.	.	PUNCT
cana-6244	297	1	x	x	X
cana-6244	297	2	wxt	wxt	PROPN
cana-6244	297	3	+	+	CCONJ
cana-6244	297	4	∫	∫	PROPN
cana-6244	297	5	wxxwxxx	wxxwxxx	PROPN
cana-6244	297	6	dx+	dx+	PROPN
cana-6244	297	7	wxxxx	wxxxx	PROPN
cana-6244	297	8	+	+	CCONJ
cana-6244	297	9	(	(	PUNCT
cana-6244	297	10	α(t	α(t	NUM
cana-6244	297	11	)	)	PUNCT
cana-6244	298	1	+	+	CCONJ
cana-6244	298	2	β)wxx	β)wxx	NOUN
cana-6244	298	3	+	+	CCONJ
cana-6244	298	4	γ(t)wyy	γ(t)wyy	PROPN
cana-6244	298	5	=	=	SYM
cana-6244	298	6	0	0	PROPN
cana-6244	298	7	.	.	PUNCT
cana-6244	298	8	(	(	PUNCT
cana-6244	298	9	61	61	NUM
cana-6244	298	10	)	)	PUNCT
cana-6244	298	11	we	we	PRON
cana-6244	298	12	compute	compute	VERB
cana-6244	298	13	integral	integral	ADJ
cana-6244	298	14	term	term	NOUN
cana-6244	298	15	in	in	ADP
cana-6244	298	16	equation	equation	NOUN
cana-6244	298	17	(	(	PUNCT
cana-6244	298	18	61	61	NUM
cana-6244	298	19	)	)	PUNCT
cana-6244	298	20	with	with	ADP
cana-6244	298	21	constant	constant	ADJ
cana-6244	298	22	of	of	ADP
cana-6244	298	23	integration	integration	NOUN
cana-6244	298	24	as	as	ADP
cana-6244	298	25	zero	zero	NUM
cana-6244	298	26	i	i	NOUN
cana-6244	299	1	=	=	SYM
cana-6244	300	1	∫	∫	PROPN
cana-6244	300	2	wxxwxxx	wxxwxxx	PROPN
cana-6244	300	3	∂x	∂x	PROPN
cana-6244	300	4	=	=	SYM
cana-6244	300	5	1	1	NUM
cana-6244	300	6	2	2	NUM
cana-6244	300	7	∫	∫	NOUN
cana-6244	300	8	2wxxwxxx	2wxxwxxx	NUM
cana-6244	300	9	∂x	∂x	PROPN
cana-6244	300	10	=	=	SYM
cana-6244	300	11	1	1	NUM
cana-6244	300	12	2	2	NUM
cana-6244	300	13	w2	w2	NOUN
cana-6244	300	14	xx	xx	NUM
cana-6244	300	15	,	,	PUNCT
cana-6244	300	16	(	(	PUNCT
cana-6244	300	17	62	62	NUM
cana-6244	300	18	)	)	PUNCT
cana-6244	300	19	substituting	substitute	VERB
cana-6244	300	20	the	the	DET
cana-6244	300	21	value	value	NOUN
cana-6244	300	22	of	of	ADP
cana-6244	300	23	i	i	PRON
cana-6244	300	24	in	in	ADP
cana-6244	300	25	equation	equation	NOUN
cana-6244	300	26	(	(	PUNCT
cana-6244	300	27	61	61	NUM
cana-6244	300	28	)	)	PUNCT
cana-6244	300	29	,	,	PUNCT
cana-6244	300	30	we	we	PRON
cana-6244	300	31	get	get	VERB
cana-6244	300	32	wxt	wxt	NOUN
cana-6244	300	33	+	+	CCONJ
cana-6244	300	34	w2	w2	NOUN
cana-6244	300	35	xx	xx	NUM
cana-6244	300	36	2	2	NUM
cana-6244	301	1	+	+	CCONJ
cana-6244	301	2	wxxxx	wxxxx	NOUN
cana-6244	301	3	+	+	CCONJ
cana-6244	301	4	(	(	PUNCT
cana-6244	301	5	α(t	α(t	NUM
cana-6244	301	6	)	)	PUNCT
cana-6244	301	7	+	+	CCONJ
cana-6244	301	8	β)wxx	β)wxx	NOUN
cana-6244	301	9	+	+	CCONJ
cana-6244	301	10	γ(t)wyy	γ(t)wyy	PROPN
cana-6244	301	11	=	=	SYM
cana-6244	301	12	0	0	PROPN
cana-6244	301	13	.	.	PUNCT
cana-6244	301	14	(	(	PUNCT
cana-6244	301	15	63	63	NUM
cana-6244	301	16	)	)	PUNCT
cana-6244	301	17	as	as	SCONJ
cana-6244	301	18	we	we	PRON
cana-6244	301	19	have	have	VERB
cana-6244	301	20	w	w	NOUN
cana-6244	301	21	=	=	ADJ
cana-6244	301	22	12(log	12(log	PROPN
cana-6244	301	23	h	h	NOUN
cana-6244	301	24	)	)	PUNCT
cana-6244	301	25	,	,	PUNCT
cana-6244	301	26	we	we	PRON
cana-6244	301	27	can	can	AUX
cana-6244	301	28	get	get	VERB
cana-6244	301	29	the	the	DET
cana-6244	301	30	followings	following	NOUN
cana-6244	301	31	:	:	PUNCT
cana-6244	301	32	wx	wx	X
cana-6244	301	33	=	=	SYM
cana-6244	301	34	12	12	NUM
cana-6244	301	35	hx	hx	NOUN
cana-6244	301	36	h	h	NOUN
cana-6244	301	37	,	,	PUNCT
cana-6244	301	38	wxt	wxt	X
cana-6244	301	39	=	=	SYM
cana-6244	301	40	12	12	NUM
cana-6244	301	41	hhxt	hhxt	NOUN
cana-6244	301	42	−	−	PROPN
cana-6244	301	43	hxht	hxht	NOUN
cana-6244	301	44	h2	h2	NOUN
cana-6244	301	45	,	,	PUNCT
cana-6244	301	46	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	301	47	1225	1225	NUM
cana-6244	301	48	communications	communication	NOUN
cana-6244	301	49	on	on	ADP
cana-6244	301	50	applied	apply	VERB
cana-6244	301	51	nonlinear	nonlinear	ADJ
cana-6244	301	52	analysis	analysis	NOUN
cana-6244	301	53	issn	issn	NOUN
cana-6244	301	54	:	:	PUNCT
cana-6244	301	55	1074	1074	NUM
cana-6244	301	56	-	-	PUNCT
cana-6244	301	57	133x	133x	NUM
cana-6244	301	58	vol	vol	NOUN
cana-6244	301	59	31	31	NUM
cana-6244	301	60	no	no	NOUN
cana-6244	301	61	.	.	PUNCT
cana-6244	302	1	8s	8s	PROPN
cana-6244	302	2	(	(	PUNCT
cana-6244	302	3	2024	2024	NUM
cana-6244	302	4	)	)	PUNCT
cana-6244	302	5	wxx	wxx	VERB
cana-6244	302	6	=	=	NOUN
cana-6244	302	7	12	12	NUM
cana-6244	302	8	hhxx	hhxx	NOUN
cana-6244	302	9	−	−	PROPN
cana-6244	302	10	h2x	h2x	PROPN
cana-6244	302	11	h2	h2	PROPN
cana-6244	302	12	,	,	PUNCT
cana-6244	302	13	wxxx	wxxx	NOUN
cana-6244	302	14	=	=	PROPN
cana-6244	303	1	12	12	NUM
cana-6244	303	2	2h3x	2h3x	NUM
cana-6244	303	3	−	−	PROPN
cana-6244	304	1	3hhxhxx	3hhxhxx	NUM
cana-6244	304	2	+	+	CCONJ
cana-6244	304	3	h2hxxx	h2hxxx	ADJ
cana-6244	304	4	h3	h3	NOUN
cana-6244	304	5	,	,	PUNCT
cana-6244	304	6	wxxxx	wxxxx	NOUN
cana-6244	304	7	=	=	NOUN
cana-6244	304	8	12	12	NUM
cana-6244	304	9	−6h4x	−6h4x	NOUN
cana-6244	304	10	+	+	CCONJ
cana-6244	304	11	12hh2xhxx	12hh2xhxx	NUM
cana-6244	304	12	−	−	PROPN
cana-6244	304	13	3h2h2xx	3h2h2xx	NUM
cana-6244	304	14	−	−	NOUN
cana-6244	304	15	4hxh	4hxh	PROPN
cana-6244	304	16	2hxxx	2hxxx	NUM
cana-6244	304	17	h4	h4	NOUN
cana-6244	304	18	,	,	PUNCT
cana-6244	304	19	wyy	wyy	NOUN
cana-6244	304	20	=	=	SYM
cana-6244	304	21	12	12	NUM
cana-6244	304	22	hhyy	hhyy	NOUN
cana-6244	304	23	−	−	PROPN
cana-6244	304	24	h2y	h2y	PROPN
cana-6244	304	25	h2	h2	NOUN
cana-6244	304	26	,	,	PUNCT
cana-6244	304	27	which	which	PRON
cana-6244	304	28	converts	convert	VERB
cana-6244	304	29	eq.(53	eq.(53	NOUN
cana-6244	304	30	)	)	PUNCT
cana-6244	304	31	into	into	ADP
cana-6244	304	32	a	a	DET
cana-6244	304	33	bilinear	bilinear	NOUN
cana-6244	304	34	equation	equation	NOUN
cana-6244	304	35	in	in	ADP
cana-6244	304	36	h	h	NOUN
cana-6244	304	37	as	as	ADP
cana-6244	304	38	(	(	PUNCT
cana-6244	304	39	hhxt	hhxt	NOUN
cana-6244	304	40	−	−	PROPN
cana-6244	304	41	hxht	hxht	NOUN
cana-6244	304	42	)	)	PUNCT
cana-6244	305	1	+	+	CCONJ
cana-6244	305	2	(	(	PUNCT
cana-6244	305	3	β	β	X
cana-6244	305	4	+	+	X
cana-6244	305	5	α(t))(hhxx	α(t))(hhxx	PROPN
cana-6244	305	6	+	+	CCONJ
cana-6244	305	7	h2x	h2x	NUM
cana-6244	305	8	)	)	PUNCT
cana-6244	305	9	+	+	CCONJ
cana-6244	305	10	γ(t)(hhyy	γ(t)(hhyy	NOUN
cana-6244	305	11	−	−	PRON
cana-6244	305	12	h2y	h2y	PROPN
cana-6244	305	13	)	)	PUNCT
cana-6244	305	14	+	+	CCONJ
cana-6244	305	15	(	(	PUNCT
cana-6244	305	16	hhxxxx	hhxxxx	NOUN
cana-6244	305	17	−	−	PROPN
cana-6244	305	18	4hxxxhx	4hxxxhx	PROPN
cana-6244	306	1	+	+	CCONJ
cana-6244	306	2	3h2xx	3h2xx	NUM
cana-6244	306	3	)	)	PUNCT
cana-6244	306	4	=	=	SYM
cana-6244	307	1	0	0	X
cana-6244	307	2	.	.	PUNCT
cana-6244	308	1	(	(	PUNCT
cana-6244	308	2	64	64	NUM
cana-6244	308	3	)	)	PUNCT
cana-6244	308	4	since	since	SCONJ
cana-6244	308	5	hirota	hirota	PROPN
cana-6244	308	6	bilinear	bilinear	NOUN
cana-6244	308	7	operator	operator	NOUN
cana-6244	308	8	is	be	AUX
cana-6244	308	9	defined	define	VERB
cana-6244	308	10	as	as	ADP
cana-6244	308	11	dp	dp	NOUN
cana-6244	308	12	ad	ad	NOUN
cana-6244	308	13	q	q	X
cana-6244	308	14	bd	bd	PROPN
cana-6244	308	15	r	r	NOUN
cana-6244	308	16	c(h	c(h	PROPN
cana-6244	308	17	,	,	PUNCT
cana-6244	308	18	k	k	NOUN
cana-6244	308	19	)	)	PUNCT
cana-6244	308	20	=	=	SYM
cana-6244	308	21	lim	lim	PROPN
cana-6244	308	22	a′→a	a′→a	PROPN
cana-6244	308	23	,	,	PUNCT
cana-6244	308	24	b′→b	b′→b	PROPN
cana-6244	308	25	,	,	PUNCT
cana-6244	308	26	c′→c	c′→c	PROPN
cana-6244	308	27	(	(	PUNCT
cana-6244	308	28	∂	∂	NOUN
cana-6244	308	29	∂a	∂a	ADP
cana-6244	308	30	−	−	PROPN
cana-6244	308	31	∂	∂	NUM
cana-6244	308	32	∂a′	∂a′	NOUN
cana-6244	308	33	)	)	PUNCT
cana-6244	309	1	p	p	X
cana-6244	309	2	(	(	PUNCT
cana-6244	309	3	∂	∂	NOUN
cana-6244	309	4	∂b	∂b	PROPN
cana-6244	309	5	−	−	PROPN
cana-6244	309	6	∂	∂	NOUN
cana-6244	309	7	∂b′	∂b′	NOUN
cana-6244	309	8	)	)	PUNCT
cana-6244	309	9	q	q	NOUN
cana-6244	309	10	(	(	PUNCT
cana-6244	309	11	∂	∂	NOUN
cana-6244	309	12	∂c	∂c	NOUN
cana-6244	310	1	−	−	PROPN
cana-6244	310	2	∂	∂	NOUN
cana-6244	310	3	∂c′	∂c′	NOUN
cana-6244	310	4	)	)	PUNCT
cana-6244	310	5	r	r	NOUN
cana-6244	310	6	h(a	h(a	PROPN
cana-6244	310	7	,	,	PUNCT
cana-6244	310	8	b	b	PROPN
cana-6244	310	9	,	,	PUNCT
cana-6244	310	10	c)k(a′	c)k(a′	NOUN
cana-6244	310	11	,	,	PUNCT
cana-6244	310	12	b′	b′	NUM
cana-6244	310	13	,	,	PUNCT
cana-6244	310	14	c′	c′	NUM
cana-6244	310	15	)	)	PUNCT
cana-6244	310	16	.	.	PUNCT
cana-6244	311	1	let	let	VERB
cana-6244	311	2	p	p	NOUN
cana-6244	311	3	=	=	PUNCT
cana-6244	311	4	r	r	NOUN
cana-6244	311	5	=	=	SYM
cana-6244	311	6	1	1	NUM
cana-6244	311	7	and	and	CCONJ
cana-6244	311	8	q	q	NOUN
cana-6244	312	1	=	=	SYM
cana-6244	312	2	0	0	NUM
cana-6244	312	3	then	then	ADV
cana-6244	312	4	dxdt(h.k	dxdt(h.k	VERB
cana-6244	312	5	)	)	PUNCT
cana-6244	312	6	=	=	PUNCT
cana-6244	312	7	hxtk	hxtk	ADV
cana-6244	312	8	−	−	PROPN
cana-6244	312	9	htkx	htkx	NOUN
cana-6244	312	10	−	−	PROPN
cana-6244	312	11	hxkt	hxkt	NOUN
cana-6244	312	12	+	+	CCONJ
cana-6244	312	13	hkxt	hkxt	NOUN
cana-6244	312	14	,	,	PUNCT
cana-6244	312	15	dxdt(h.h	dxdt(h.h	PROPN
cana-6244	312	16	)	)	PUNCT
cana-6244	312	17	=	=	SYM
cana-6244	312	18	2	2	NUM
cana-6244	312	19	(	(	PUNCT
cana-6244	312	20	hhxt	hhxt	NOUN
cana-6244	312	21	−	−	PROPN
cana-6244	312	22	hxht	hxht	NOUN
cana-6244	312	23	)	)	PUNCT
cana-6244	312	24	let	let	VERB
cana-6244	312	25	p	p	NOUN
cana-6244	312	26	=	=	NOUN
cana-6244	312	27	2	2	NUM
cana-6244	312	28	and	and	CCONJ
cana-6244	312	29	q	q	NOUN
cana-6244	312	30	=	=	SYM
cana-6244	312	31	r	r	NOUN
cana-6244	312	32	=	=	PUNCT
cana-6244	312	33	0then	0then	NUM
cana-6244	312	34	d2	d2	PROPN
cana-6244	312	35	x(h.k	x(h.k	PROPN
cana-6244	312	36	)	)	PUNCT
cana-6244	313	1	=	=	X
cana-6244	313	2	hxxk	hxxk	NOUN
cana-6244	313	3	+	+	CCONJ
cana-6244	313	4	hkxx	hkxx	PROPN
cana-6244	313	5	+	+	CCONJ
cana-6244	313	6	2hxkx	2hxkx	NUM
cana-6244	313	7	d2	d2	PROPN
cana-6244	313	8	x(h.h	x(h.h	PROPN
cana-6244	313	9	)	)	PUNCT
cana-6244	314	1	=	=	SYM
cana-6244	314	2	2	2	NUM
cana-6244	314	3	(	(	PUNCT
cana-6244	314	4	hhxx	hhxx	NOUN
cana-6244	314	5	−	−	PROPN
cana-6244	314	6	h2x	h2x	PROPN
cana-6244	314	7	)	)	PUNCT
cana-6244	314	8	let	let	VERB
cana-6244	314	9	p	p	NOUN
cana-6244	314	10	=	=	NOUN
cana-6244	314	11	r	r	NOUN
cana-6244	314	12	=	=	SYM
cana-6244	314	13	0	0	NUM
cana-6244	314	14	and	and	CCONJ
cana-6244	314	15	q	q	NOUN
cana-6244	314	16	=	=	SYM
cana-6244	314	17	2	2	NUM
cana-6244	314	18	then	then	ADV
cana-6244	314	19	d2	d2	PROPN
cana-6244	314	20	y(h.k	y(h.k	PROPN
cana-6244	314	21	)	)	PUNCT
cana-6244	314	22	=	=	SYM
cana-6244	314	23	hyyk	hyyk	NOUN
cana-6244	314	24	+	+	CCONJ
cana-6244	314	25	hkyy	hkyy	NOUN
cana-6244	314	26	+	+	CCONJ
cana-6244	314	27	2hyky	2hyky	NUM
cana-6244	314	28	d2	d2	PROPN
cana-6244	314	29	y(h.h	y(h.h	PROPN
cana-6244	314	30	)	)	PUNCT
cana-6244	315	1	=	=	SYM
cana-6244	315	2	2	2	NUM
cana-6244	315	3	(	(	PUNCT
cana-6244	315	4	hhyy	hhyy	NOUN
cana-6244	315	5	−	−	PROPN
cana-6244	315	6	h2y	h2y	PROPN
cana-6244	315	7	)	)	PUNCT
cana-6244	315	8	let	let	VERB
cana-6244	315	9	p	p	NOUN
cana-6244	315	10	=	=	NOUN
cana-6244	315	11	4	4	NUM
cana-6244	315	12	and	and	CCONJ
cana-6244	315	13	q	q	NOUN
cana-6244	315	14	=	=	SYM
cana-6244	315	15	r	r	NOUN
cana-6244	315	16	=	=	SYM
cana-6244	315	17	0	0	PROPN
cana-6244	315	18	then	then	ADV
cana-6244	315	19	d4	d4	PROPN
cana-6244	315	20	x(h.k	x(h.k	PROPN
cana-6244	315	21	)	)	PUNCT
cana-6244	316	1	=	=	PRON
cana-6244	316	2	hxxxxk	hxxxxk	VERB
cana-6244	316	3	−	−	PROPN
cana-6244	316	4	4.hxxxkx	4.hxxxkx	NUM
cana-6244	317	1	+	+	CCONJ
cana-6244	318	1	6.hxxkxx	6.hxxkxx	NUM
cana-6244	318	2	−	−	PROPN
cana-6244	318	3	4.hxkxxx	4.hxkxxx	NUM
cana-6244	318	4	+	+	CCONJ
cana-6244	318	5	hkxxxx	hkxxxx	ADJ
cana-6244	318	6	d4	d4	PROPN
cana-6244	318	7	x(h.h	x(h.h	PROPN
cana-6244	318	8	)	)	PUNCT
cana-6244	319	1	=	=	SYM
cana-6244	319	2	2	2	NUM
cana-6244	319	3	(	(	PUNCT
cana-6244	319	4	hhxxxx	hhxxxx	NOUN
cana-6244	319	5	−	−	PROPN
cana-6244	319	6	4.hxhxxx	4.hxhxxx	PROPN
cana-6244	319	7	+	+	CCONJ
cana-6244	319	8	3.h2xx	3.h2xx	NOUN
cana-6244	319	9	)	)	PUNCT
cana-6244	319	10	therefore	therefore	ADV
cana-6244	319	11	,	,	PUNCT
cana-6244	319	12	using	use	VERB
cana-6244	319	13	bilinear	bilinear	NOUN
cana-6244	319	14	differentials	differential	NOUN
cana-6244	319	15	d	d	NOUN
cana-6244	319	16	,	,	PUNCT
cana-6244	319	17	the	the	DET
cana-6244	319	18	bilinear	bilinear	NOUN
cana-6244	319	19	eq	eq	X
cana-6244	319	20	.	.	PUNCT
cana-6244	320	1	(	(	PUNCT
cana-6244	320	2	64	64	NUM
cana-6244	320	3	)	)	PUNCT
cana-6244	320	4	can	can	AUX
cana-6244	320	5	be	be	AUX
cana-6244	320	6	expressed	express	VERB
cana-6244	320	7	in	in	ADP
cana-6244	320	8	hirota	hirota	PROPN
cana-6244	320	9	’s	’s	PART
cana-6244	320	10	bilinear	bilinear	PROPN
cana-6244	320	11	form	form	NOUN
cana-6244	320	12	as	as	ADP
cana-6244	320	13	[	[	PUNCT
cana-6244	320	14	dxdt	dxdt	NOUN
cana-6244	320	15	+	+	CCONJ
cana-6244	320	16	(	(	PUNCT
cana-6244	320	17	β	β	X
cana-6244	320	18	+	+	X
cana-6244	320	19	α(t))d2	α(t))d2	NUM
cana-6244	320	20	x	x	NOUN
cana-6244	321	1	+	+	CCONJ
cana-6244	321	2	γ(t)d2	γ(t)d2	NOUN
cana-6244	321	3	y	y	PROPN
cana-6244	321	4	+	+	PROPN
cana-6244	321	5	d4	d4	PROPN
cana-6244	321	6	x	x	X
cana-6244	321	7	]	]	X
cana-6244	321	8	h.h	h.h	PROPN
cana-6244	321	9	(	(	PUNCT
cana-6244	321	10	65)=	65)=	NOUN
cana-6244	321	11	0	0	PUNCT
cana-6244	321	12	this	this	DET
cana-6244	321	13	equation	equation	NOUN
cana-6244	321	14	(	(	PUNCT
cana-6244	321	15	65	65	NUM
cana-6244	321	16	)	)	PUNCT
cana-6244	321	17	is	be	AUX
cana-6244	321	18	called	call	VERB
cana-6244	321	19	the	the	DET
cana-6244	321	20	hirota	hirota	PROPN
cana-6244	321	21	bilinear	bilinear	NOUN
cana-6244	321	22	form	form	NOUN
cana-6244	321	23	for	for	ADP
cana-6244	321	24	graphene	graphene	NOUN
cana-6244	321	25	sheets	sheet	NOUN
cana-6244	321	26	equation	equation	NOUN
cana-6244	321	27	(	(	PUNCT
cana-6244	321	28	53	53	NUM
cana-6244	321	29	)	)	PUNCT
cana-6244	321	30	.	.	PUNCT
cana-6244	322	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	322	2	1226	1226	NUM
cana-6244	322	3	communications	communication	NOUN
cana-6244	322	4	on	on	ADP
cana-6244	322	5	applied	apply	VERB
cana-6244	322	6	nonlinear	nonlinear	ADJ
cana-6244	322	7	analysis	analysis	NOUN
cana-6244	322	8	issn	issn	NOUN
cana-6244	322	9	:	:	PUNCT
cana-6244	322	10	1074	1074	NUM
cana-6244	322	11	-	-	PUNCT
cana-6244	322	12	133x	133x	NUM
cana-6244	322	13	vol	vol	NOUN
cana-6244	322	14	31	31	NUM
cana-6244	322	15	no	no	NOUN
cana-6244	322	16	.	.	PUNCT
cana-6244	323	1	8s	8s	PROPN
cana-6244	323	2	(	(	PUNCT
cana-6244	323	3	2024	2024	NUM
cana-6244	323	4	)	)	PUNCT
cana-6244	323	5	3.6	3.6	NUM
cana-6244	323	6	bogoyavlenskii	bogoyavlenskii	NOUN
cana-6244	323	7	–	–	PUNCT
cana-6244	323	8	kadomtsev	kadomtsev	ADJ
cana-6244	323	9	–	–	PUNCT
cana-6244	323	10	petviashvili	petviashvili	NOUN
cana-6244	323	11	(	(	PUNCT
cana-6244	323	12	bkp	bkp	NOUN
cana-6244	323	13	)	)	PUNCT
cana-6244	323	14	equation	equation	NOUN
cana-6244	323	15	in	in	ADP
cana-6244	323	16	(	(	PUNCT
cana-6244	323	17	3	3	NUM
cana-6244	323	18	+	+	NOUN
cana-6244	323	19	1)-dimensions	1)-dimensions	NUM
cana-6244	323	20	the	the	DET
cana-6244	323	21	integrable	integrable	ADJ
cana-6244	323	22	bkp	bkp	NOUN
cana-6244	323	23	equation	equation	NOUN
cana-6244	323	24	is	be	AUX
cana-6244	323	25	given	give	VERB
cana-6244	323	26	by	by	ADP
cana-6244	323	27	[	[	PUNCT
cana-6244	323	28	27	27	NUM
cana-6244	323	29	]	]	X
cana-6244	323	30	uyt	uyt	NOUN
cana-6244	324	1	+	+	CCONJ
cana-6244	325	1	3uxz	3uxz	NUM
cana-6244	326	1	−	−	NOUN
cana-6244	326	2	3uxuxy	3uxuxy	NUM
cana-6244	326	3	−	−	PROPN
cana-6244	326	4	3uxxuy	3uxxuy	NUM
cana-6244	326	5	−	−	NOUN
cana-6244	326	6	uxxxy	uxxxy	NOUN
cana-6244	326	7	=	=	SYM
cana-6244	326	8	0	0	NUM
cana-6244	326	9	,	,	PUNCT
cana-6244	326	10	(	(	PUNCT
cana-6244	326	11	66	66	NUM
cana-6244	326	12	)	)	PUNCT
cana-6244	326	13	where	where	SCONJ
cana-6244	326	14	x	x	X
cana-6244	326	15	,	,	PUNCT
cana-6244	326	16	y	y	PROPN
cana-6244	326	17	,	,	PUNCT
cana-6244	326	18	z	z	PROPN
cana-6244	326	19	,	,	PUNCT
cana-6244	326	20	t	t	PROPN
cana-6244	326	21	are	be	AUX
cana-6244	326	22	spatial	spatial	ADJ
cana-6244	326	23	and	and	CCONJ
cana-6244	326	24	temporal	temporal	ADJ
cana-6244	326	25	coordinates	coordinate	NOUN
cana-6244	326	26	,	,	PUNCT
cana-6244	326	27	and	and	CCONJ
cana-6244	326	28	u	u	NOUN
cana-6244	326	29	represents	represent	VERB
cana-6244	326	30	the	the	DET
cana-6244	326	31	wave	wave	NOUN
cana-6244	326	32	amplitude	amplitude	NOUN
cana-6244	326	33	.	.	PUNCT
cana-6244	327	1	to	to	PART
cana-6244	327	2	analyze	analyze	VERB
cana-6244	327	3	the	the	DET
cana-6244	327	4	dispersion	dispersion	NOUN
cana-6244	327	5	properties	property	NOUN
cana-6244	327	6	,	,	PUNCT
cana-6244	327	7	we	we	PRON
cana-6244	327	8	define	define	VERB
cana-6244	327	9	the	the	DET
cana-6244	327	10	phase	phase	NOUN
cana-6244	327	11	variable	variable	NOUN
cana-6244	327	12	ξi	ξi	NOUN
cana-6244	327	13	=	=	SYM
cana-6244	328	1	µix+	µix+	PROPN
cana-6244	328	2	viy	viy	PROPN
cana-6244	328	3	+	+	CCONJ
cana-6244	328	4	wiz	wiz	ADJ
cana-6244	328	5	−	−	X
cana-6244	328	6	dit	dit	PROPN
cana-6244	328	7	,	,	PUNCT
cana-6244	328	8	(	(	PUNCT
cana-6244	328	9	67	67	NUM
cana-6244	328	10	)	)	PUNCT
cana-6244	328	11	where	where	SCONJ
cana-6244	328	12	µi	µi	PROPN
cana-6244	328	13	,	,	PUNCT
cana-6244	328	14	vi	vi	PROPN
cana-6244	328	15	,	,	PUNCT
cana-6244	328	16	wi	wi	PROPN
cana-6244	328	17	(	(	PUNCT
cana-6244	328	18	i	i	NOUN
cana-6244	328	19	=	=	NOUN
cana-6244	328	20	1	1	NUM
cana-6244	328	21	,	,	PUNCT
cana-6244	328	22	2	2	NUM
cana-6244	328	23	,	,	PUNCT
cana-6244	328	24	.	.	PUNCT
cana-6244	328	25	.	.	PUNCT
cana-6244	328	26	.	.	PUNCT
cana-6244	328	27	)	)	PUNCT
cana-6244	328	28	are	be	AUX
cana-6244	328	29	constants	constant	NOUN
cana-6244	328	30	,	,	PUNCT
cana-6244	328	31	and	and	CCONJ
cana-6244	328	32	di	di	NOUN
cana-6244	328	33	is	be	AUX
cana-6244	328	34	the	the	DET
cana-6244	328	35	dispersion	dispersion	NOUN
cana-6244	328	36	coefficient	coefficient	NOUN
cana-6244	328	37	.	.	PUNCT
cana-6244	329	1	substituting	substitute	VERB
cana-6244	329	2	u	u	NOUN
cana-6244	329	3	=	=	PROPN
cana-6244	329	4	eξi	eξi	PROPN
cana-6244	329	5	into	into	ADP
cana-6244	329	6	the	the	DET
cana-6244	329	7	linear	linear	ADJ
cana-6244	329	8	terms	term	NOUN
cana-6244	329	9	of	of	ADP
cana-6244	329	10	eq	eq	PROPN
cana-6244	329	11	.	.	PUNCT
cana-6244	330	1	(	(	PUNCT
cana-6244	330	2	66	66	NUM
cana-6244	330	3	)	)	PUNCT
cana-6244	330	4	,	,	PUNCT
cana-6244	330	5	namely	namely	ADV
cana-6244	330	6	uyt	uyt	VERB
cana-6244	331	1	+	+	CCONJ
cana-6244	332	1	3uxz	3uxz	NUM
cana-6244	332	2	−	−	NOUN
cana-6244	332	3	uxxxy	uxxxy	NOUN
cana-6244	332	4	=	=	SYM
cana-6244	332	5	0	0	NUM
cana-6244	332	6	,	,	PUNCT
cana-6244	332	7	yields	yield	VERB
cana-6244	332	8	the	the	DET
cana-6244	332	9	dispersion	dispersion	NOUN
cana-6244	332	10	relation	relation	NOUN
cana-6244	332	11	di	di	NOUN
cana-6244	332	12	=	=	PUNCT
cana-6244	333	1	−3µiwi	−3µiwi	PROPN
cana-6244	333	2	+	+	CCONJ
cana-6244	333	3	µ3i	µ3i	PROPN
cana-6244	333	4	vi	vi	PROPN
cana-6244	333	5	vi	vi	PROPN
cana-6244	333	6	.	.	PUNCT
cana-6244	334	1	(	(	PUNCT
cana-6244	334	2	68	68	NUM
cana-6244	334	3	)	)	PUNCT
cana-6244	334	4	next	next	ADV
cana-6244	334	5	,	,	PUNCT
cana-6244	334	6	we	we	PRON
cana-6244	334	7	employ	employ	VERB
cana-6244	334	8	the	the	DET
cana-6244	334	9	transformation	transformation	NOUN
cana-6244	334	10	u(x	u(x	NOUN
cana-6244	334	11	,	,	PUNCT
cana-6244	334	12	y	y	PROPN
cana-6244	334	13	,	,	PUNCT
cana-6244	334	14	z	z	PROPN
cana-6244	334	15	,	,	PUNCT
cana-6244	334	16	t	t	PROPN
cana-6244	334	17	)	)	PUNCT
cana-6244	335	1	=	=	SYM
cana-6244	335	2	k(lnh)x	k(lnh)x	NOUN
cana-6244	335	3	,	,	PUNCT
cana-6244	335	4	(	(	PUNCT
cana-6244	335	5	69	69	NUM
cana-6244	335	6	)	)	PUNCT
cana-6244	335	7	and	and	CCONJ
cana-6244	335	8	select	select	VERB
cana-6244	335	9	the	the	DET
cana-6244	335	10	h	h	NOUN
cana-6244	335	11	function	function	NOUN
cana-6244	335	12	as	as	ADP
cana-6244	335	13	h	h	NOUN
cana-6244	335	14	=	=	NOUN
cana-6244	335	15	1	1	NUM
cana-6244	335	16	+	+	CCONJ
cana-6244	335	17	eξ1	eξ1	NOUN
cana-6244	335	18	,	,	PUNCT
cana-6244	335	19	with	with	ADP
cana-6244	335	20	ξ1	ξ1	NOUN
cana-6244	335	21	=	=	SYM
cana-6244	335	22	µ1x+	µ1x+	NOUN
cana-6244	335	23	v1y	v1y	NOUN
cana-6244	336	1	+	+	CCONJ
cana-6244	336	2	w1z	w1z	NUM
cana-6244	336	3	−	−	PROPN
cana-6244	336	4	(	(	PUNCT
cana-6244	336	5	−3µ1w1	−3µ1w1	ADJ
cana-6244	336	6	+	+	CCONJ
cana-6244	336	7	µ31v1	µ31v1	NUM
cana-6244	336	8	v1	v1	NOUN
cana-6244	336	9	)	)	PUNCT
cana-6244	337	1	t.	t.	NOUN
cana-6244	337	2	substituting	substitute	VERB
cana-6244	337	3	into	into	ADP
cana-6244	337	4	eq	eq	NOUN
cana-6244	337	5	.	.	PUNCT
cana-6244	338	1	(	(	PUNCT
cana-6244	338	2	66	66	NUM
cana-6244	338	3	)	)	PUNCT
cana-6244	338	4	and	and	CCONJ
cana-6244	338	5	simplifying	simplifying	NOUN
cana-6244	338	6	gives	give	VERB
cana-6244	338	7	k	k	PROPN
cana-6244	338	8	=	=	SYM
cana-6244	338	9	2	2	X
cana-6244	338	10	.	.	PUNCT
cana-6244	339	1	therefore	therefore	ADV
cana-6244	339	2	,	,	PUNCT
cana-6244	339	3	the	the	DET
cana-6244	339	4	transformation	transformation	NOUN
cana-6244	339	5	(	(	PUNCT
cana-6244	339	6	69	69	NUM
cana-6244	339	7	)	)	PUNCT
cana-6244	339	8	reduces	reduce	VERB
cana-6244	339	9	to	to	ADP
cana-6244	339	10	u	u	NOUN
cana-6244	339	11	=	=	NOUN
cana-6244	339	12	2(lnh)x	2(lnh)x	NUM
cana-6244	339	13	.	.	PUNCT
cana-6244	340	1	(	(	PUNCT
cana-6244	340	2	70	70	NUM
cana-6244	340	3	)	)	PUNCT
cana-6244	340	4	now	now	ADV
cana-6244	340	5	,	,	PUNCT
cana-6244	340	6	from	from	ADP
cana-6244	340	7	(	(	PUNCT
cana-6244	340	8	70	70	NUM
cana-6244	340	9	)	)	PUNCT
cana-6244	340	10	,	,	PUNCT
cana-6244	340	11	we	we	PRON
cana-6244	340	12	have	have	VERB
cana-6244	340	13	ux	ux	NOUN
cana-6244	340	14	=	=	SYM
cana-6244	340	15	2	2	NUM
cana-6244	340	16	(	(	PUNCT
cana-6244	340	17	hxxh−	hxxh−	ADJ
cana-6244	340	18	h2x	h2x	PROPN
cana-6244	340	19	h2	h2	PROPN
cana-6244	340	20	)	)	PUNCT
cana-6244	340	21	,	,	PUNCT
cana-6244	340	22	uy	uy	NOUN
cana-6244	340	23	=	=	SYM
cana-6244	340	24	2	2	NUM
cana-6244	340	25	(	(	PUNCT
cana-6244	340	26	hxyh−	hxyh−	PROPN
cana-6244	340	27	hxhy	hxhy	PROPN
cana-6244	340	28	h2	h2	PROPN
cana-6244	340	29	)	)	PUNCT
cana-6244	340	30	,	,	PUNCT
cana-6244	340	31	uz	uz	X
cana-6244	340	32	=	=	SYM
cana-6244	340	33	2	2	NUM
cana-6244	340	34	(	(	PUNCT
cana-6244	340	35	hxzh−	hxzh−	ADV
cana-6244	340	36	hxhz	hxhz	NOUN
cana-6244	340	37	h2	h2	PROPN
cana-6244	340	38	)	)	PUNCT
cana-6244	340	39	,	,	PUNCT
cana-6244	340	40	ut	ut	PROPN
cana-6244	340	41	=	=	SYM
cana-6244	340	42	2	2	NUM
cana-6244	340	43	(	(	PUNCT
cana-6244	340	44	hxth−	hxth−	ADJ
cana-6244	340	45	hxht	hxht	NOUN
cana-6244	340	46	h2	h2	PROPN
cana-6244	340	47	)	)	PUNCT
cana-6244	340	48	.	.	PUNCT
cana-6244	341	1	the	the	DET
cana-6244	341	2	higher	high	ADJ
cana-6244	341	3	-	-	PUNCT
cana-6244	341	4	order	order	NOUN
cana-6244	341	5	derivatives	derivative	NOUN
cana-6244	341	6	become	become	VERB
cana-6244	341	7	uyt	uyt	NOUN
cana-6244	341	8	=	=	SYM
cana-6244	341	9	2	2	NUM
cana-6244	341	10	(	(	PUNCT
cana-6244	341	11	hxyth+	hxyth+	X
cana-6244	341	12	hxyht	hxyht	NOUN
cana-6244	341	13	−	−	ADP
cana-6244	341	14	hxthy	hxthy	ADJ
cana-6244	341	15	−	−	NOUN
cana-6244	341	16	hxhyt)h	hxhyt)h	NOUN
cana-6244	341	17	2	2	NUM
cana-6244	341	18	−	−	NUM
cana-6244	341	19	2hht(hxyh−	2hht(hxyh−	NUM
cana-6244	341	20	hxhy	hxhy	NOUN
cana-6244	341	21	)	)	PUNCT
cana-6244	341	22	h4	h4	PROPN
cana-6244	341	23	,	,	PUNCT
cana-6244	341	24	uxz	uxz	NOUN
cana-6244	341	25	=	=	SYM
cana-6244	341	26	2	2	NUM
cana-6244	341	27	(	(	PUNCT
cana-6244	341	28	hxxzh+	hxxzh+	AUX
cana-6244	341	29	hxxhz	hxxhz	VERB
cana-6244	341	30	−	−	PROPN
cana-6244	341	31	2hxhxz)h	2hxhxz)h	NUM
cana-6244	341	32	2	2	NUM
cana-6244	341	33	−	−	PROPN
cana-6244	341	34	2hhz(hxxh−	2hhz(hxxh−	NUM
cana-6244	341	35	h2x	h2x	NOUN
cana-6244	341	36	)	)	PUNCT
cana-6244	341	37	h4	h4	PROPN
cana-6244	341	38	,	,	PUNCT
cana-6244	341	39	uxx	uxx	X
cana-6244	341	40	=	=	SYM
cana-6244	341	41	2	2	NUM
cana-6244	341	42	hxxxh	hxxxh	NOUN
cana-6244	341	43	3	3	NUM
cana-6244	341	44	−	−	NOUN
cana-6244	341	45	3hxhxxh	3hxhxxh	NUM
cana-6244	341	46	2	2	NUM
cana-6244	341	47	+	+	CCONJ
cana-6244	341	48	2h3xh	2h3xh	NUM
cana-6244	341	49	h4	h4	NOUN
cana-6244	341	50	,	,	PUNCT
cana-6244	341	51	uxy	uxy	NOUN
cana-6244	341	52	=	=	SYM
cana-6244	341	53	2	2	NUM
cana-6244	341	54	(	(	PUNCT
cana-6244	341	55	hxxyh+	hxxyh+	X
cana-6244	341	56	hxxhy	hxxhy	NOUN
cana-6244	341	57	−	−	NOUN
cana-6244	341	58	2hxhxy)h	2hxhxy)h	NUM
cana-6244	341	59	2	2	NUM
cana-6244	341	60	−	−	PROPN
cana-6244	341	61	2hhy(hxxh−	2hhy(hxxh−	NUM
cana-6244	341	62	h2x	h2x	NOUN
cana-6244	341	63	)	)	PUNCT
cana-6244	341	64	h4	h4	NOUN
cana-6244	341	65	,	,	PUNCT
cana-6244	341	66	uxxxy	uxxxy	NOUN
cana-6244	341	67	=	=	SYM
cana-6244	341	68	2	2	NUM
cana-6244	341	69	hxxxy	hxxxy	NOUN
cana-6244	341	70	h	h	NOUN
cana-6244	341	71	−	−	NOUN
cana-6244	341	72	2	2	NUM
cana-6244	341	73	hxxxxhy	hxxxxhy	NOUN
cana-6244	341	74	h2	h2	NOUN
cana-6244	341	75	−	−	PROPN
cana-6244	341	76	8	8	NUM
cana-6244	341	77	hxxxyhx	hxxxyhx	PROPN
cana-6244	341	78	h2	h2	NOUN
cana-6244	341	79	−	−	PROPN
cana-6244	341	80	8	8	NUM
cana-6244	341	81	hxxxhxy	hxxxhxy	NOUN
cana-6244	341	82	h2	h2	NOUN
cana-6244	341	83	+	+	CCONJ
cana-6244	341	84	16	16	NUM
cana-6244	341	85	hxxxhxhy	hxxxhxhy	NOUN
cana-6244	341	86	h3	h3	NOUN
cana-6244	341	87	−	−	PROPN
cana-6244	341	88	12	12	NUM
cana-6244	341	89	hxxhxxy	hxxhxxy	NOUN
cana-6244	341	90	h2	h2	NOUN
cana-6244	341	91	+	+	CCONJ
cana-6244	341	92	12	12	NUM
cana-6244	341	93	h2xxhy	h2xxhy	NUM
cana-6244	341	94	h3	h3	NOUN
cana-6244	341	95	+	+	CCONJ
cana-6244	341	96	36	36	NUM
cana-6244	341	97	hxhxyhxx	hxhxyhxx	NOUN
cana-6244	341	98	h3	h3	NOUN
cana-6244	341	99	+	+	CCONJ
cana-6244	341	100	18	18	NUM
cana-6244	341	101	h2xhxxy	h2xhxxy	NOUN
cana-6244	341	102	h3	h3	NOUN
cana-6244	341	103	−	−	PROPN
cana-6244	341	104	54	54	NUM
cana-6244	341	105	h2xhxxhy	h2xhxxhy	ADJ
cana-6244	341	106	h4	h4	NOUN
cana-6244	341	107	−	−	NUM
cana-6244	341	108	16	16	NUM
cana-6244	341	109	h3xhxy	h3xhxy	ADJ
cana-6244	341	110	h4	h4	PROPN
cana-6244	341	111	+	+	CCONJ
cana-6244	341	112	16	16	NUM
cana-6244	341	113	hx	hx	NOUN
cana-6244	341	114	4hy	4hy	PROPN
cana-6244	341	115	h5	h5	PROPN
cana-6244	341	116	.	.	PUNCT
cana-6244	342	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	342	2	1227	1227	NUM
cana-6244	342	3	communications	communication	NOUN
cana-6244	342	4	on	on	ADP
cana-6244	342	5	applied	apply	VERB
cana-6244	342	6	nonlinear	nonlinear	ADJ
cana-6244	342	7	analysis	analysis	NOUN
cana-6244	342	8	issn	issn	NOUN
cana-6244	342	9	:	:	PUNCT
cana-6244	342	10	1074	1074	NUM
cana-6244	342	11	-	-	PUNCT
cana-6244	342	12	133x	133x	NUM
cana-6244	342	13	vol	vol	NOUN
cana-6244	342	14	31	31	NUM
cana-6244	342	15	no	no	NOUN
cana-6244	342	16	.	.	PUNCT
cana-6244	343	1	8s	8s	PROPN
cana-6244	343	2	(	(	PUNCT
cana-6244	343	3	2024	2024	NUM
cana-6244	343	4	)	)	PUNCT
cana-6244	343	5	substituting	substitute	VERB
cana-6244	343	6	these	these	DET
cana-6244	343	7	expressions	expression	NOUN
cana-6244	343	8	into	into	ADP
cana-6244	343	9	eq	eq	NOUN
cana-6244	343	10	.	.	PUNCT
cana-6244	344	1	(	(	PUNCT
cana-6244	344	2	66	66	NUM
cana-6244	344	3	)	)	PUNCT
cana-6244	344	4	,	,	PUNCT
cana-6244	344	5	we	we	PRON
cana-6244	344	6	get	get	VERB
cana-6244	344	7	hhyt	hhyt	NOUN
cana-6244	344	8	−	−	PROPN
cana-6244	344	9	hyht	hyht	NOUN
cana-6244	344	10	+	+	CCONJ
cana-6244	344	11	3	3	NUM
cana-6244	344	12	(	(	PUNCT
cana-6244	344	13	hhxz	hhxz	VERB
cana-6244	344	14	−	−	PROPN
cana-6244	344	15	hxhz	hxhz	NOUN
cana-6244	344	16	)	)	PUNCT
cana-6244	344	17	−	−	PROPN
cana-6244	345	1	hxxxyh+	hxxxyh+	PRON
cana-6244	346	1	3hxxyhx	3hxxyhx	NUM
cana-6244	346	2	−	−	NOUN
cana-6244	346	3	3hxyhxx	3hxyhxx	NUM
cana-6244	346	4	+	+	CCONJ
cana-6244	346	5	hyhxxx	hyhxxx	ADJ
cana-6244	346	6	=	=	NOUN
cana-6244	346	7	0	0	PROPN
cana-6244	346	8	.	.	PUNCT
cana-6244	347	1	(	(	PUNCT
cana-6244	347	2	71	71	NUM
cana-6244	347	3	)	)	PUNCT
cana-6244	347	4	since	since	SCONJ
cana-6244	347	5	the	the	DET
cana-6244	347	6	hirota	hirota	PROPN
cana-6244	347	7	bilinear	bilinear	NOUN
cana-6244	347	8	operator	operator	NOUN
cana-6244	347	9	is	be	AUX
cana-6244	347	10	defined	define	VERB
cana-6244	347	11	as	as	ADP
cana-6244	347	12	dp	dp	NOUN
cana-6244	347	13	ad	ad	NOUN
cana-6244	347	14	q	q	X
cana-6244	347	15	bd	bd	PROPN
cana-6244	347	16	r	r	PROPN
cana-6244	347	17	cd	cd	PROPN
cana-6244	347	18	s	s	PART
cana-6244	347	19	d(h	d(h	PROPN
cana-6244	347	20	,	,	PUNCT
cana-6244	347	21	k	k	NOUN
cana-6244	347	22	)	)	PUNCT
cana-6244	347	23	=	=	SYM
cana-6244	347	24	lim	lim	PROPN
cana-6244	347	25	a′→a	a′→a	PROPN
cana-6244	347	26	,	,	PUNCT
cana-6244	347	27	b′→b	b′→b	PROPN
cana-6244	347	28	,	,	PUNCT
cana-6244	347	29	c′→c	c′→c	PROPN
cana-6244	347	30	,	,	PUNCT
cana-6244	347	31	d′→d	d′→d	PROPN
cana-6244	347	32	(	(	PUNCT
cana-6244	347	33	∂	∂	NOUN
cana-6244	347	34	∂a	∂a	CCONJ
cana-6244	347	35	−	−	PROPN
cana-6244	347	36	∂	∂	NUM
cana-6244	347	37	∂a′	∂a′	NOUN
cana-6244	347	38	)	)	PUNCT
cana-6244	348	1	p	p	X
cana-6244	348	2	(	(	PUNCT
cana-6244	348	3	∂	∂	NOUN
cana-6244	348	4	∂b	∂b	PROPN
cana-6244	348	5	−	−	PROPN
cana-6244	348	6	∂	∂	NOUN
cana-6244	348	7	∂b′	∂b′	NOUN
cana-6244	348	8	)	)	PUNCT
cana-6244	349	1	q	q	PROPN
cana-6244	349	2	×	×	NOUN
cana-6244	349	3	(	(	PUNCT
cana-6244	349	4	∂	∂	NOUN
cana-6244	349	5	∂c	∂c	NOUN
cana-6244	349	6	−	−	PROPN
cana-6244	349	7	∂	∂	NOUN
cana-6244	349	8	∂c′	∂c′	NOUN
cana-6244	349	9	)	)	PUNCT
cana-6244	349	10	r	r	NOUN
cana-6244	349	11	(	(	PUNCT
cana-6244	349	12	∂	∂	NOUN
cana-6244	350	1	∂d	∂d	PROPN
cana-6244	350	2	−	−	PROPN
cana-6244	350	3	∂	∂	NOUN
cana-6244	350	4	∂d′	∂d′	NOUN
cana-6244	350	5	)	)	PUNCT
cana-6244	350	6	s	s	PROPN
cana-6244	350	7	h(a	h(a	PROPN
cana-6244	350	8	,	,	PUNCT
cana-6244	350	9	b	b	PROPN
cana-6244	350	10	,	,	PUNCT
cana-6244	350	11	c	c	NOUN
cana-6244	350	12	,	,	PUNCT
cana-6244	350	13	d)k(a′	d)k(a′	NOUN
cana-6244	350	14	,	,	PUNCT
cana-6244	350	15	b′	b′	NUM
cana-6244	350	16	,	,	PUNCT
cana-6244	350	17	c′	c′	NOUN
cana-6244	350	18	,	,	PUNCT
cana-6244	350	19	d′	d′	NUM
cana-6244	350	20	)	)	PUNCT
cana-6244	350	21	,	,	PUNCT
cana-6244	350	22	,	,	PUNCT
cana-6244	350	23	we	we	PRON
cana-6244	350	24	evaluate	evaluate	VERB
cana-6244	350	25	the	the	DET
cana-6244	350	26	following	following	ADJ
cana-6244	350	27	cases	case	NOUN
cana-6244	350	28	:	:	PUNCT
cana-6244	350	29	dydt(h.h	dydt(h.h	X
cana-6244	350	30	)	)	PUNCT
cana-6244	350	31	=	=	SYM
cana-6244	350	32	2	2	NUM
cana-6244	350	33	(	(	PUNCT
cana-6244	350	34	hhyt	hhyt	NOUN
cana-6244	350	35	−	−	PROPN
cana-6244	350	36	hyht	hyht	NOUN
cana-6244	350	37	)	)	PUNCT
cana-6244	351	1	d	d	NOUN
cana-6244	351	2	,	,	PUNCT
cana-6244	351	3	xdz(h.h	xdz(h.h	NUM
cana-6244	351	4	)	)	PUNCT
cana-6244	351	5	=	=	SYM
cana-6244	351	6	2	2	NUM
cana-6244	351	7	(	(	PUNCT
cana-6244	351	8	hhxz	hhxz	VERB
cana-6244	351	9	−	−	PROPN
cana-6244	351	10	hxhz	hxhz	NOUN
cana-6244	351	11	)	)	PUNCT
cana-6244	351	12	,	,	PUNCT
cana-6244	351	13	(	(	PUNCT
cana-6244	351	14	d3	d3	PROPN
cana-6244	351	15	xdy)(h.h	xdy)(h.h	PROPN
cana-6244	351	16	)	)	PUNCT
cana-6244	351	17	=	=	SYM
cana-6244	351	18	2	2	NUM
cana-6244	351	19	(	(	PUNCT
cana-6244	351	20	hxxxyh−	hxxxyh−	NUM
cana-6244	351	21	3hxxyhx	3hxxyhx	NUM
cana-6244	351	22	+	+	CCONJ
cana-6244	351	23	3hxyhxx	3hxyhxx	NUM
cana-6244	351	24	−	−	PROPN
cana-6244	351	25	hyhxxx	hyhxxx	NOUN
cana-6244	351	26	)	)	PUNCT
cana-6244	351	27	.	.	PUNCT
cana-6244	352	1	thus	thus	ADV
cana-6244	352	2	,	,	PUNCT
cana-6244	352	3	eq	eq	ADJ
cana-6244	352	4	.	.	PUNCT
cana-6244	353	1	(	(	PUNCT
cana-6244	353	2	71	71	NUM
cana-6244	353	3	)	)	PUNCT
cana-6244	353	4	gives	give	VERB
cana-6244	353	5	hirota	hirota	PROPN
cana-6244	353	6	bilinear	bilinear	NOUN
cana-6244	353	7	form	form	NOUN
cana-6244	353	8	as	as	ADP
cana-6244	353	9	(	(	PUNCT
cana-6244	353	10	dydt	dydt	NOUN
cana-6244	353	11	+	+	PROPN
cana-6244	353	12	3dxdz	3dxdz	NUM
cana-6244	353	13	−d3	−d3	PROPN
cana-6244	353	14	xdy	xdy	PROPN
cana-6244	353	15	)	)	PUNCT
cana-6244	353	16	h	h	NOUN
cana-6244	353	17	·	·	PUNCT
cana-6244	353	18	h	h	NOUN
cana-6244	354	1	=	=	NOUN
cana-6244	354	2	0	0	PROPN
cana-6244	354	3	.	.	PUNCT
cana-6244	355	1	(	(	PUNCT
cana-6244	355	2	72	72	NUM
cana-6244	355	3	)	)	PUNCT
cana-6244	355	4	this	this	DET
cana-6244	355	5	equation	equation	NOUN
cana-6244	355	6	(	(	PUNCT
cana-6244	355	7	72	72	NUM
cana-6244	355	8	)	)	PUNCT
cana-6244	355	9	is	be	AUX
cana-6244	355	10	called	call	VERB
cana-6244	355	11	the	the	DET
cana-6244	355	12	hirota	hirota	PROPN
cana-6244	355	13	bilinear	bilinear	NOUN
cana-6244	355	14	form	form	NOUN
cana-6244	355	15	for	for	ADP
cana-6244	355	16	the	the	DET
cana-6244	355	17	bkp	bkp	NOUN
cana-6244	355	18	equation	equation	NOUN
cana-6244	355	19	(	(	PUNCT
cana-6244	355	20	66	66	NUM
cana-6244	355	21	)	)	PUNCT
cana-6244	355	22	.	.	PUNCT
cana-6244	356	1	3.7	3.7	NUM
cana-6244	356	2	boiti	boiti	INTJ
cana-6244	356	3	–	–	PUNCT
cana-6244	356	4	leon	leon	PROPN
cana-6244	356	5	–	–	PUNCT
cana-6244	356	6	manna	manna	NOUN
cana-6244	356	7	–	–	PUNCT
cana-6244	356	8	pempinelli	pempinelli	ADJ
cana-6244	356	9	equation	equation	NOUN
cana-6244	356	10	in	in	ADP
cana-6244	356	11	(	(	PUNCT
cana-6244	356	12	3	3	NUM
cana-6244	356	13	+	+	NOUN
cana-6244	356	14	1)-dimensions	1)-dimensions	NUM
cana-6244	356	15	the	the	DET
cana-6244	356	16	integrable	integrable	ADJ
cana-6244	356	17	blmp	blmp	ADJ
cana-6244	356	18	equation	equation	NOUN
cana-6244	356	19	is	be	AUX
cana-6244	356	20	expressed	express	VERB
cana-6244	356	21	as	as	ADP
cana-6244	356	22	[	[	X
cana-6244	356	23	28	28	NUM
cana-6244	356	24	]	]	X
cana-6244	356	25	uyt	uyt	NOUN
cana-6244	356	26	+	+	SYM
cana-6244	356	27	uzt	uzt	NOUN
cana-6244	356	28	+	+	NUM
cana-6244	356	29	uxxxy	uxxxy	NOUN
cana-6244	356	30	+	+	CCONJ
cana-6244	356	31	uxxxz	uxxxz	NOUN
cana-6244	356	32	−	−	PROPN
cana-6244	356	33	3uxuxy	3uxuxy	NUM
cana-6244	356	34	−	−	PROPN
cana-6244	356	35	3uxuxz	3uxuxz	NUM
cana-6244	356	36	−	−	NOUN
cana-6244	356	37	3uxxuy	3uxxuy	NUM
cana-6244	356	38	−	−	NOUN
cana-6244	356	39	3uxxuz	3uxxuz	NUM
cana-6244	356	40	=	=	SYM
cana-6244	356	41	0	0	NUM
cana-6244	356	42	,	,	PUNCT
cana-6244	356	43	(	(	PUNCT
cana-6244	356	44	73	73	NUM
cana-6244	356	45	)	)	PUNCT
cana-6244	356	46	where	where	SCONJ
cana-6244	356	47	x	x	X
cana-6244	356	48	,	,	PUNCT
cana-6244	356	49	y	y	PROPN
cana-6244	356	50	,	,	PUNCT
cana-6244	356	51	z	z	PROPN
cana-6244	356	52	,	,	PUNCT
cana-6244	356	53	t	t	PROPN
cana-6244	356	54	are	be	AUX
cana-6244	356	55	spatial	spatial	ADJ
cana-6244	356	56	and	and	CCONJ
cana-6244	356	57	temporal	temporal	ADJ
cana-6244	356	58	coordinates	coordinate	NOUN
cana-6244	356	59	,	,	PUNCT
cana-6244	356	60	and	and	CCONJ
cana-6244	356	61	u	u	NOUN
cana-6244	356	62	represents	represent	VERB
cana-6244	356	63	the	the	DET
cana-6244	356	64	wave	wave	NOUN
cana-6244	356	65	amplitude	amplitude	NOUN
cana-6244	356	66	.	.	PUNCT
cana-6244	357	1	to	to	PART
cana-6244	357	2	determine	determine	VERB
cana-6244	357	3	the	the	DET
cana-6244	357	4	dispersion	dispersion	NOUN
cana-6244	357	5	relation	relation	NOUN
cana-6244	357	6	,	,	PUNCT
cana-6244	357	7	we	we	PRON
cana-6244	357	8	introduce	introduce	VERB
cana-6244	357	9	the	the	DET
cana-6244	357	10	phase	phase	NOUN
cana-6244	357	11	variable	variable	NOUN
cana-6244	357	12	ξi	ξi	NOUN
cana-6244	357	13	=	=	SYM
cana-6244	358	1	µix+	µix+	PROPN
cana-6244	358	2	viy	viy	PROPN
cana-6244	358	3	+	+	CCONJ
cana-6244	358	4	wiz	wiz	ADJ
cana-6244	358	5	−	−	X
cana-6244	358	6	dit	dit	PROPN
cana-6244	358	7	,	,	PUNCT
cana-6244	358	8	(	(	PUNCT
cana-6244	358	9	74	74	NUM
cana-6244	358	10	)	)	PUNCT
cana-6244	358	11	where	where	SCONJ
cana-6244	358	12	µi	µi	PROPN
cana-6244	358	13	,	,	PUNCT
cana-6244	358	14	vi	vi	PROPN
cana-6244	358	15	,	,	PUNCT
cana-6244	358	16	wi	wi	PROPN
cana-6244	358	17	(	(	PUNCT
cana-6244	358	18	i	i	NOUN
cana-6244	358	19	=	=	NOUN
cana-6244	358	20	1	1	NUM
cana-6244	358	21	,	,	PUNCT
cana-6244	358	22	2	2	NUM
cana-6244	358	23	,	,	PUNCT
cana-6244	358	24	.	.	PUNCT
cana-6244	358	25	.	.	PUNCT
cana-6244	358	26	.	.	PUNCT
cana-6244	358	27	)	)	PUNCT
cana-6244	358	28	are	be	AUX
cana-6244	358	29	constants	constant	NOUN
cana-6244	358	30	and	and	CCONJ
cana-6244	358	31	di	di	NOUN
cana-6244	358	32	is	be	AUX
cana-6244	358	33	the	the	DET
cana-6244	358	34	dispersion	dispersion	NOUN
cana-6244	358	35	coefficient	coefficient	NOUN
cana-6244	358	36	.	.	PUNCT
cana-6244	359	1	substituting	substitute	VERB
cana-6244	359	2	u	u	NOUN
cana-6244	359	3	=	=	PROPN
cana-6244	359	4	eξi	eξi	PROPN
cana-6244	359	5	into	into	ADP
cana-6244	359	6	the	the	DET
cana-6244	359	7	linear	linear	ADJ
cana-6244	359	8	part	part	NOUN
cana-6244	359	9	of	of	ADP
cana-6244	359	10	eq	eq	PROPN
cana-6244	359	11	.	.	PUNCT
cana-6244	360	1	(	(	PUNCT
cana-6244	360	2	73	73	NUM
cana-6244	360	3	)	)	PUNCT
cana-6244	360	4	,	,	PUNCT
cana-6244	360	5	namely	namely	ADV
cana-6244	360	6	uyt	uyt	VERB
cana-6244	360	7	+	+	CCONJ
cana-6244	360	8	uzt	uzt	NOUN
cana-6244	360	9	+	+	NUM
cana-6244	360	10	uxxxy	uxxxy	NOUN
cana-6244	360	11	+	+	CCONJ
cana-6244	360	12	uxxxz	uxxxz	NOUN
cana-6244	360	13	=	=	SYM
cana-6244	360	14	0	0	NUM
cana-6244	360	15	,	,	PUNCT
cana-6244	360	16	the	the	DET
cana-6244	360	17	relevant	relevant	ADJ
cana-6244	360	18	derivatives	derivative	NOUN
cana-6244	360	19	are	be	AUX
cana-6244	360	20	uyt	uyt	ADJ
cana-6244	360	21	=	=	PRON
cana-6244	360	22	vi(−di)eξi	vi(−di)eξi	NOUN
cana-6244	360	23	,	,	PUNCT
cana-6244	360	24	uzt	uzt	NOUN
cana-6244	360	25	=	=	PUNCT
cana-6244	360	26	wi(−di)eξi	wi(−di)eξi	PROPN
cana-6244	360	27	,	,	PUNCT
cana-6244	360	28	uxxxy	uxxxy	PROPN
cana-6244	360	29	=	=	PUNCT
cana-6244	360	30	µ3i	µ3i	PROPN
cana-6244	360	31	vie	vie	PROPN
cana-6244	360	32	ξi	ξi	NOUN
cana-6244	360	33	,	,	PUNCT
cana-6244	360	34	uxxxz	uxxxz	NOUN
cana-6244	360	35	=	=	NOUN
cana-6244	360	36	µ3iwie	µ3iwie	PROPN
cana-6244	360	37	ξi	ξi	NOUN
cana-6244	360	38	.	.	PUNCT
cana-6244	361	1	substituting	substitute	VERB
cana-6244	361	2	these	these	DET
cana-6244	361	3	expressions	expression	NOUN
cana-6244	361	4	into	into	ADP
cana-6244	361	5	the	the	DET
cana-6244	361	6	linearized	linearize	VERB
cana-6244	361	7	equation	equation	NOUN
cana-6244	361	8	yields	yield	VERB
cana-6244	361	9	−(vi	−(vi	PUNCT
cana-6244	362	1	+	+	PUNCT
cana-6244	362	2	wi)di	wi)di	X
cana-6244	362	3	+	+	NUM
cana-6244	362	4	µ3i	µ3i	NUM
cana-6244	362	5	(	(	PUNCT
cana-6244	362	6	vi	vi	PROPN
cana-6244	362	7	+	+	X
cana-6244	362	8	wi	wi	PROPN
cana-6244	362	9	)	)	PUNCT
cana-6244	363	1	=	=	SYM
cana-6244	363	2	0	0	NUM
cana-6244	363	3	,	,	PUNCT
cana-6244	363	4	which	which	PRON
cana-6244	363	5	leads	lead	VERB
cana-6244	363	6	to	to	ADP
cana-6244	363	7	the	the	DET
cana-6244	363	8	dispersion	dispersion	NOUN
cana-6244	363	9	relation	relation	NOUN
cana-6244	363	10	di	di	NOUN
cana-6244	363	11	=	=	PUNCT
cana-6244	363	12	µ3i	µ3i	PROPN
cana-6244	363	13	.	.	PUNCT
cana-6244	364	1	(	(	PUNCT
cana-6244	364	2	75	75	NUM
cana-6244	364	3	)	)	PUNCT
cana-6244	364	4	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	364	5	1228	1228	NUM
cana-6244	364	6	communications	communication	NOUN
cana-6244	364	7	on	on	ADP
cana-6244	364	8	applied	apply	VERB
cana-6244	364	9	nonlinear	nonlinear	ADJ
cana-6244	364	10	analysis	analysis	NOUN
cana-6244	364	11	issn	issn	NOUN
cana-6244	364	12	:	:	PUNCT
cana-6244	364	13	1074	1074	NUM
cana-6244	364	14	-	-	PUNCT
cana-6244	364	15	133x	133x	NUM
cana-6244	364	16	vol	vol	NOUN
cana-6244	364	17	31	31	NUM
cana-6244	364	18	no	no	NOUN
cana-6244	364	19	.	.	PUNCT
cana-6244	365	1	8s	8s	PROPN
cana-6244	365	2	(	(	PUNCT
cana-6244	365	3	2024	2024	NUM
cana-6244	365	4	)	)	PUNCT
cana-6244	365	5	next	next	ADV
cana-6244	365	6	,	,	PUNCT
cana-6244	365	7	we	we	PRON
cana-6244	365	8	employ	employ	VERB
cana-6244	365	9	the	the	DET
cana-6244	365	10	transformation	transformation	NOUN
cana-6244	365	11	u(x	u(x	NOUN
cana-6244	365	12	,	,	PUNCT
cana-6244	365	13	y	y	PROPN
cana-6244	365	14	,	,	PUNCT
cana-6244	365	15	z	z	PROPN
cana-6244	365	16	,	,	PUNCT
cana-6244	365	17	t	t	PROPN
cana-6244	365	18	)	)	PUNCT
cana-6244	365	19	=	=	SYM
cana-6244	365	20	k(lnh)x	k(lnh)x	NOUN
cana-6244	365	21	,	,	PUNCT
cana-6244	365	22	(	(	PUNCT
cana-6244	365	23	76	76	NUM
cana-6244	365	24	)	)	PUNCT
cana-6244	365	25	and	and	CCONJ
cana-6244	365	26	take	take	VERB
cana-6244	365	27	h	h	NOUN
cana-6244	365	28	function	function	NOUN
cana-6244	365	29	as	as	ADP
cana-6244	365	30	h	h	NOUN
cana-6244	365	31	=	=	NOUN
cana-6244	365	32	1	1	NUM
cana-6244	366	1	+	+	CCONJ
cana-6244	366	2	eξ1	eξ1	NOUN
cana-6244	366	3	,	,	PUNCT
cana-6244	366	4	with	with	ADP
cana-6244	366	5	ξ1	ξ1	NOUN
cana-6244	366	6	=	=	SYM
cana-6244	366	7	µ1x+	µ1x+	NOUN
cana-6244	366	8	v1y	v1y	NOUN
cana-6244	367	1	+	+	CCONJ
cana-6244	368	1	w1z	w1z	PROPN
cana-6244	368	2	−	−	PROPN
cana-6244	368	3	µ31	µ31	PROPN
cana-6244	368	4	t.	t.	NOUN
cana-6244	368	5	substituting	substituting	NOUN
cana-6244	368	6	into	into	ADP
cana-6244	368	7	eq	eq	NOUN
cana-6244	368	8	.	.	PUNCT
cana-6244	369	1	(	(	PUNCT
cana-6244	369	2	73	73	NUM
cana-6244	369	3	)	)	PUNCT
cana-6244	369	4	and	and	CCONJ
cana-6244	369	5	simplifying	simplify	VERB
cana-6244	369	6	,	,	PUNCT
cana-6244	369	7	we	we	PRON
cana-6244	369	8	find	find	VERB
cana-6244	369	9	k	k	NOUN
cana-6244	369	10	=	=	SYM
cana-6244	369	11	−2	−2	PROPN
cana-6244	369	12	.	.	PUNCT
cana-6244	370	1	therefore	therefore	ADV
cana-6244	370	2	,	,	PUNCT
cana-6244	370	3	the	the	DET
cana-6244	370	4	transformation	transformation	NOUN
cana-6244	370	5	(	(	PUNCT
cana-6244	370	6	76	76	NUM
cana-6244	370	7	)	)	PUNCT
cana-6244	370	8	reduces	reduce	VERB
cana-6244	370	9	to	to	ADP
cana-6244	370	10	u	u	NOUN
cana-6244	370	11	=	=	NOUN
cana-6244	370	12	−2(lnh)x	−2(lnh)x	VERB
cana-6244	370	13	.	.	PUNCT
cana-6244	371	1	(	(	PUNCT
cana-6244	371	2	77	77	NUM
cana-6244	371	3	)	)	PUNCT
cana-6244	371	4	now	now	ADV
cana-6244	371	5	,	,	PUNCT
cana-6244	371	6	from	from	ADP
cana-6244	371	7	(	(	PUNCT
cana-6244	371	8	77	77	NUM
cana-6244	371	9	)	)	PUNCT
cana-6244	371	10	,	,	PUNCT
cana-6244	371	11	we	we	PRON
cana-6244	371	12	have	have	VERB
cana-6244	371	13	ux	ux	NOUN
cana-6244	371	14	=	=	SYM
cana-6244	371	15	2	2	NUM
cana-6244	371	16	∂	∂	NUM
cana-6244	371	17	∂x	∂x	PROPN
cana-6244	371	18	(	(	PUNCT
cana-6244	371	19	hx	hx	PROPN
cana-6244	371	20	h	h	PROPN
cana-6244	371	21	)	)	PUNCT
cana-6244	372	1	=	=	SYM
cana-6244	372	2	2	2	NUM
cana-6244	372	3	(	(	PUNCT
cana-6244	372	4	hxxh−	hxxh−	ADJ
cana-6244	372	5	h2x	h2x	PROPN
cana-6244	372	6	h2	h2	PROPN
cana-6244	372	7	)	)	PUNCT
cana-6244	372	8	uy	uy	NOUN
cana-6244	373	1	=	=	SYM
cana-6244	373	2	2	2	NUM
cana-6244	373	3	∂	∂	NUM
cana-6244	373	4	∂y	∂y	NOUN
cana-6244	373	5	(	(	PUNCT
cana-6244	373	6	hy	hy	NOUN
cana-6244	373	7	h	h	NOUN
cana-6244	373	8	)	)	PUNCT
cana-6244	374	1	=	=	SYM
cana-6244	374	2	2	2	NUM
cana-6244	374	3	(	(	PUNCT
cana-6244	374	4	hxyh−	hxyh−	PROPN
cana-6244	374	5	hxhy	hxhy	PROPN
cana-6244	374	6	h2	h2	NOUN
cana-6244	374	7	)	)	PUNCT
cana-6244	375	1	uz	uz	NOUN
cana-6244	375	2	=	=	SYM
cana-6244	375	3	2	2	NUM
cana-6244	375	4	∂	∂	NUM
cana-6244	375	5	∂z	∂z	PROPN
cana-6244	375	6	(	(	PUNCT
cana-6244	375	7	hz	hz	PROPN
cana-6244	375	8	h	h	NOUN
cana-6244	375	9	)	)	PUNCT
cana-6244	376	1	=	=	SYM
cana-6244	376	2	2	2	NUM
cana-6244	376	3	(	(	PUNCT
cana-6244	376	4	hxzh−	hxzh−	ADV
cana-6244	376	5	hxhz	hxhz	NOUN
cana-6244	376	6	h2	h2	NOUN
cana-6244	376	7	)	)	PUNCT
cana-6244	376	8	ut	ut	PROPN
cana-6244	377	1	=	=	SYM
cana-6244	377	2	2	2	NUM
cana-6244	377	3	∂	∂	NUM
cana-6244	377	4	∂t	∂t	PROPN
cana-6244	377	5	(	(	PUNCT
cana-6244	377	6	ht	ht	INTJ
cana-6244	377	7	h	h	PROPN
cana-6244	377	8	)	)	PUNCT
cana-6244	378	1	=	=	SYM
cana-6244	378	2	2	2	NUM
cana-6244	378	3	(	(	PUNCT
cana-6244	378	4	hxth−	hxth−	ADJ
cana-6244	378	5	hxht	hxht	NOUN
cana-6244	378	6	h2	h2	PROPN
cana-6244	378	7	)	)	PUNCT
cana-6244	378	8	uyt	uyt	PROPN
cana-6244	379	1	=	=	SYM
cana-6244	379	2	2	2	NUM
cana-6244	379	3	(	(	PUNCT
cana-6244	379	4	hxyth+	hxyth+	X
cana-6244	379	5	hxyht	hxyht	NOUN
cana-6244	380	1	−	−	ADP
cana-6244	380	2	hxthy	hxthy	ADJ
cana-6244	380	3	−	−	NOUN
cana-6244	380	4	hxhyt)h	hxhyt)h	NOUN
cana-6244	380	5	2	2	NUM
cana-6244	380	6	−	−	NUM
cana-6244	380	7	2hht(hxyh−	2hht(hxyh−	NUM
cana-6244	380	8	hxhy	hxhy	NOUN
cana-6244	380	9	)	)	PUNCT
cana-6244	380	10	h4	h4	PROPN
cana-6244	380	11	uxz	uxz	NOUN
cana-6244	381	1	=	=	SYM
cana-6244	381	2	2	2	NUM
cana-6244	381	3	(	(	PUNCT
cana-6244	381	4	hxxzh+	hxxzh+	AUX
cana-6244	381	5	hxxhz	hxxhz	VERB
cana-6244	381	6	−	−	PROPN
cana-6244	381	7	2hxhxz)h	2hxhxz)h	NUM
cana-6244	381	8	2	2	NUM
cana-6244	381	9	−	−	PROPN
cana-6244	381	10	2hhz(hxxh−	2hhz(hxxh−	NUM
cana-6244	381	11	h2x	h2x	NOUN
cana-6244	381	12	)	)	PUNCT
cana-6244	381	13	h4	h4	PROPN
cana-6244	381	14	uxx	uxx	NOUN
cana-6244	382	1	=	=	SYM
cana-6244	382	2	2	2	NUM
cana-6244	382	3	hxxxh	hxxxh	NOUN
cana-6244	382	4	3	3	NUM
cana-6244	382	5	−	−	NOUN
cana-6244	382	6	3hxhxxh	3hxhxxh	NUM
cana-6244	382	7	2	2	NUM
cana-6244	382	8	+	+	CCONJ
cana-6244	382	9	2h3xh	2h3xh	NUM
cana-6244	382	10	h4	h4	NOUN
cana-6244	382	11	uxy	uxy	NOUN
cana-6244	382	12	=	=	SYM
cana-6244	382	13	2	2	NUM
cana-6244	382	14	(	(	PUNCT
cana-6244	382	15	hxxyh+	hxxyh+	X
cana-6244	382	16	hxxhy	hxxhy	NOUN
cana-6244	382	17	−	−	NOUN
cana-6244	382	18	2hxhxy)h	2hxhxy)h	NUM
cana-6244	382	19	2	2	NUM
cana-6244	382	20	−	−	PROPN
cana-6244	382	21	2hhy(hxxh−	2hhy(hxxh−	NUM
cana-6244	382	22	h2x	h2x	NOUN
cana-6244	382	23	)	)	PUNCT
cana-6244	382	24	h4	h4	NOUN
cana-6244	382	25	uxxxy	uxxxy	NOUN
cana-6244	382	26	=	=	NOUN
cana-6244	382	27	−2	−2	PROPN
cana-6244	382	28	hxxxxy	hxxxxy	VERB
cana-6244	382	29	h	h	NOUN
cana-6244	383	1	+	+	CCONJ
cana-6244	383	2	2	2	NUM
cana-6244	383	3	hxxxxhy	hxxxxhy	NOUN
cana-6244	383	4	h2	h2	NOUN
cana-6244	383	5	+	+	CCONJ
cana-6244	383	6	8	8	NUM
cana-6244	383	7	hxxxyhx	hxxxyhx	PROPN
cana-6244	383	8	h2	h2	NOUN
cana-6244	383	9	+	+	CCONJ
cana-6244	383	10	8	8	NUM
cana-6244	383	11	hxxxhxy	hxxxhxy	NOUN
cana-6244	383	12	h2	h2	NOUN
cana-6244	383	13	−	−	PROPN
cana-6244	383	14	16	16	NUM
cana-6244	383	15	hxxxhxhy	hxxxhxhy	NOUN
cana-6244	383	16	h3	h3	VERB
cana-6244	383	17	+12	+12	PROPN
cana-6244	383	18	hxxhxxy	hxxhxxy	NOUN
cana-6244	383	19	h2	h2	NOUN
cana-6244	383	20	−	−	PROPN
cana-6244	383	21	12	12	NUM
cana-6244	383	22	h2xxhy	h2xxhy	PROPN
cana-6244	383	23	h3	h3	NOUN
cana-6244	383	24	−	−	PROPN
cana-6244	383	25	36	36	NUM
cana-6244	383	26	hxhxyhxx	hxhxyhxx	NOUN
cana-6244	383	27	h3	h3	NOUN
cana-6244	383	28	−	−	PROPN
cana-6244	383	29	18	18	NUM
cana-6244	383	30	h2xhxxy	h2xhxxy	NOUN
cana-6244	383	31	h3	h3	NOUN
cana-6244	383	32	+	+	CCONJ
cana-6244	383	33	54	54	NUM
cana-6244	383	34	h2xhxxhy	h2xhxxhy	ADJ
cana-6244	383	35	h4	h4	NOUN
cana-6244	383	36	+16	+16	ADJ
cana-6244	383	37	h3xhxy	h3xhxy	PROPN
cana-6244	383	38	h4	h4	PROPN
cana-6244	383	39	−	−	PROPN
cana-6244	383	40	16	16	NUM
cana-6244	383	41	h4xhy	h4xhy	NOUN
cana-6244	383	42	h5	h5	NOUN
cana-6244	383	43	uxxxz	uxxxz	NOUN
cana-6244	384	1	=	=	NOUN
cana-6244	384	2	−2	−2	NOUN
cana-6244	384	3	hxxxxz	hxxxxz	NOUN
cana-6244	384	4	h	h	NOUN
cana-6244	385	1	+	+	CCONJ
cana-6244	385	2	2	2	NUM
cana-6244	385	3	hxxxxhz	hxxxxhz	NOUN
cana-6244	385	4	h2	h2	NOUN
cana-6244	385	5	+	+	CCONJ
cana-6244	385	6	8	8	NUM
cana-6244	385	7	hxxxzhx	hxxxzhx	NOUN
cana-6244	385	8	h2	h2	NOUN
cana-6244	385	9	+	+	CCONJ
cana-6244	385	10	8	8	NUM
cana-6244	385	11	hxxxhxz	hxxxhxz	NOUN
cana-6244	385	12	h2	h2	NOUN
cana-6244	385	13	−	−	PROPN
cana-6244	385	14	16	16	NUM
cana-6244	385	15	hxxxhxhz	hxxxhxhz	ADJ
cana-6244	385	16	h3	h3	VERB
cana-6244	385	17	+12	+12	PROPN
cana-6244	385	18	hxxhxxz	hxxhxxz	NOUN
cana-6244	385	19	h2	h2	NOUN
cana-6244	385	20	−	−	PROPN
cana-6244	385	21	12	12	NUM
cana-6244	385	22	h2xxhz	h2xxhz	NOUN
cana-6244	385	23	h3	h3	NOUN
cana-6244	385	24	−	−	PROPN
cana-6244	385	25	36	36	NUM
cana-6244	385	26	hxhxzhxx	hxhxzhxx	ADJ
cana-6244	385	27	h3	h3	NOUN
cana-6244	385	28	−	−	PROPN
cana-6244	385	29	18	18	NUM
cana-6244	385	30	h2xhxxz	h2xhxxz	NOUN
cana-6244	385	31	h3	h3	NOUN
cana-6244	385	32	+	+	CCONJ
cana-6244	385	33	54	54	NUM
cana-6244	385	34	h2xhxxhz	h2xhxxhz	PROPN
cana-6244	385	35	h4	h4	PROPN
cana-6244	385	36	+16	+16	ADJ
cana-6244	385	37	h3xhxz	h3xhxz	ADJ
cana-6244	385	38	h4	h4	NOUN
cana-6244	385	39	−	−	PROPN
cana-6244	385	40	16	16	NUM
cana-6244	385	41	h4xhz	h4xhz	PROPN
cana-6244	385	42	h5	h5	NOUN
cana-6244	385	43	putting	put	VERB
cana-6244	385	44	the	the	DET
cana-6244	385	45	above	above	ADJ
cana-6244	385	46	expressions	expression	NOUN
cana-6244	385	47	into	into	ADP
cana-6244	385	48	eq.(73	eq.(73	NOUN
cana-6244	385	49	)	)	PUNCT
cana-6244	385	50	,	,	PUNCT
cana-6244	385	51	we	we	PRON
cana-6244	385	52	get	get	VERB
cana-6244	385	53	hhyt−hyht+hhzt−hzht+hhxxxy−3hxhxxy+3hxyhxx−hyhxxx+hhxxxz−3hxhxxz+3hxzhxx−hzhxxx	hhyt−hyht+hhzt−hzht+hhxxxy−3hxhxxy+3hxyhxx−hyhxxx+hhxxxz−3hxhxxz+3hxzhxx−hzhxxx	NOUN
cana-6244	385	54	=	=	SYM
cana-6244	385	55	0	0	PUNCT
cana-6244	386	1	(	(	PUNCT
cana-6244	386	2	78	78	NUM
cana-6244	386	3	)	)	PUNCT
cana-6244	386	4	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	386	5	1229	1229	NUM
cana-6244	386	6	communications	communication	NOUN
cana-6244	386	7	on	on	ADP
cana-6244	386	8	applied	apply	VERB
cana-6244	386	9	nonlinear	nonlinear	ADJ
cana-6244	386	10	analysis	analysis	NOUN
cana-6244	386	11	issn	issn	NOUN
cana-6244	386	12	:	:	PUNCT
cana-6244	386	13	1074	1074	NUM
cana-6244	386	14	-	-	PUNCT
cana-6244	386	15	133x	133x	NUM
cana-6244	386	16	vol	vol	NOUN
cana-6244	386	17	31	31	NUM
cana-6244	386	18	no	no	NOUN
cana-6244	386	19	.	.	PUNCT
cana-6244	387	1	8s	8s	PROPN
cana-6244	387	2	(	(	PUNCT
cana-6244	387	3	2024	2024	NUM
cana-6244	387	4	)	)	PUNCT
cana-6244	387	5	since	since	SCONJ
cana-6244	387	6	hirota	hirota	PROPN
cana-6244	387	7	bilinear	bilinear	NOUN
cana-6244	387	8	operator	operator	NOUN
cana-6244	387	9	is	be	AUX
cana-6244	387	10	defined	define	VERB
cana-6244	387	11	as	as	ADP
cana-6244	387	12	dp	dp	NOUN
cana-6244	387	13	ad	ad	NOUN
cana-6244	387	14	q	q	X
cana-6244	387	15	bd	bd	PROPN
cana-6244	387	16	r	r	PROPN
cana-6244	387	17	cd	cd	PROPN
cana-6244	387	18	s	s	PART
cana-6244	387	19	d(h	d(h	PROPN
cana-6244	387	20	,	,	PUNCT
cana-6244	387	21	k	k	NOUN
cana-6244	387	22	)	)	PUNCT
cana-6244	387	23	=	=	SYM
cana-6244	387	24	lim	lim	PROPN
cana-6244	387	25	a′→a	a′→a	PROPN
cana-6244	387	26	,	,	PUNCT
cana-6244	387	27	b′→b	b′→b	PROPN
cana-6244	387	28	,	,	PUNCT
cana-6244	387	29	c′→c	c′→c	PROPN
cana-6244	387	30	,	,	PUNCT
cana-6244	387	31	d′→d	d′→d	PROPN
cana-6244	387	32	(	(	PUNCT
cana-6244	387	33	∂	∂	NOUN
cana-6244	388	1	∂a	∂a	CCONJ
cana-6244	388	2	−	−	PROPN
cana-6244	388	3	∂	∂	NUM
cana-6244	388	4	∂a′	∂a′	NOUN
cana-6244	388	5	)	)	PUNCT
cana-6244	389	1	p	p	X
cana-6244	389	2	(	(	PUNCT
cana-6244	389	3	∂	∂	NOUN
cana-6244	389	4	∂b	∂b	PROPN
cana-6244	389	5	−	−	PROPN
cana-6244	389	6	∂	∂	NOUN
cana-6244	389	7	∂b′	∂b′	NOUN
cana-6244	389	8	)	)	PUNCT
cana-6244	389	9	q	q	NOUN
cana-6244	389	10	(	(	PUNCT
cana-6244	389	11	∂	∂	NOUN
cana-6244	389	12	∂c	∂c	NOUN
cana-6244	390	1	−	−	PROPN
cana-6244	390	2	∂	∂	NOUN
cana-6244	390	3	∂c′	∂c′	NOUN
cana-6244	390	4	)	)	PUNCT
cana-6244	390	5	r	r	NOUN
cana-6244	390	6	(	(	PUNCT
cana-6244	390	7	∂	∂	NOUN
cana-6244	391	1	∂d	∂d	PROPN
cana-6244	391	2	−	−	PROPN
cana-6244	391	3	∂	∂	NOUN
cana-6244	391	4	∂d′	∂d′	NOUN
cana-6244	391	5	)	)	PUNCT
cana-6244	391	6	s	s	PROPN
cana-6244	391	7	h(a	h(a	PROPN
cana-6244	391	8	,	,	PUNCT
cana-6244	391	9	b	b	PROPN
cana-6244	391	10	,	,	PUNCT
cana-6244	391	11	c	c	NOUN
cana-6244	391	12	,	,	PUNCT
cana-6244	391	13	d)k(a′	d)k(a′	NOUN
cana-6244	391	14	,	,	PUNCT
cana-6244	391	15	b′	b′	NUM
cana-6244	391	16	,	,	PUNCT
cana-6244	391	17	c′	c′	PRON
cana-6244	391	18	,	,	PUNCT
cana-6244	391	19	d′	d′	NUM
cana-6244	391	20	)	)	PUNCT
cana-6244	391	21	.	.	PUNCT
cana-6244	392	1	let	let	VERB
cana-6244	392	2	p	p	NOUN
cana-6244	392	3	=	=	NOUN
cana-6244	392	4	0,q	0,q	PUNCT
cana-6244	392	5	=	=	SYM
cana-6244	393	1	1,r	1,r	NUM
cana-6244	393	2	=	=	SYM
cana-6244	393	3	0	0	NUM
cana-6244	393	4	and	and	CCONJ
cana-6244	393	5	s	s	X
cana-6244	393	6	then=	then=	NUM
cana-6244	393	7	1	1	NUM
cana-6244	393	8	,	,	PUNCT
cana-6244	393	9	dydt(h.k	dydt(h.k	NOUN
cana-6244	393	10	)	)	PUNCT
cana-6244	393	11	=	=	VERB
cana-6244	393	12	hytk	hytk	NOUN
cana-6244	393	13	−	−	PROPN
cana-6244	393	14	htky	htky	ADJ
cana-6244	393	15	−	−	PROPN
cana-6244	393	16	hykt	hykt	NOUN
cana-6244	393	17	+	+	CCONJ
cana-6244	393	18	hkyt	hkyt	PROPN
cana-6244	393	19	,	,	PUNCT
cana-6244	393	20	dydt(h.h	dydt(h.h	NOUN
cana-6244	393	21	)	)	PUNCT
cana-6244	393	22	=	=	SYM
cana-6244	393	23	2	2	NUM
cana-6244	393	24	(	(	PUNCT
cana-6244	393	25	hhyt	hhyt	NOUN
cana-6244	393	26	−	−	PROPN
cana-6244	393	27	hyht	hyht	NOUN
cana-6244	393	28	)	)	PUNCT
cana-6244	393	29	let	let	VERB
cana-6244	393	30	p	p	NOUN
cana-6244	393	31	=	=	NOUN
cana-6244	393	32	0,q	0,q	PUNCT
cana-6244	393	33	=	=	SYM
cana-6244	394	1	0,r	0,r	NUM
cana-6244	394	2	=	=	SYM
cana-6244	394	3	1	1	NUM
cana-6244	394	4	and	and	CCONJ
cana-6244	394	5	s	s	X
cana-6244	394	6	then=	then=	NUM
cana-6244	394	7	1	1	NUM
cana-6244	394	8	,	,	PUNCT
cana-6244	394	9	dzdt(h.k	dzdt(h.k	NOUN
cana-6244	394	10	)	)	PUNCT
cana-6244	395	1	=	=	SYM
cana-6244	395	2	hztk	hztk	NOUN
cana-6244	395	3	−	−	PROPN
cana-6244	395	4	htkz	htkz	NOUN
cana-6244	395	5	−	−	PROPN
cana-6244	395	6	hzkt	hzkt	NOUN
cana-6244	395	7	+	+	X
cana-6244	395	8	hkyz	hkyz	ADJ
cana-6244	395	9	,	,	PUNCT
cana-6244	395	10	dzdt(h.h	dzdt(h.h	PROPN
cana-6244	395	11	)	)	PUNCT
cana-6244	395	12	=	=	SYM
cana-6244	395	13	2	2	NUM
cana-6244	395	14	(	(	PUNCT
cana-6244	395	15	hhzt	hhzt	NOUN
cana-6244	395	16	−	−	PROPN
cana-6244	395	17	hzht	hzht	NOUN
cana-6244	395	18	)	)	PUNCT
cana-6244	395	19	let	let	VERB
cana-6244	395	20	p	p	NOUN
cana-6244	395	21	=	=	NOUN
cana-6244	396	1	3,q	3,q	NUM
cana-6244	396	2	=	=	SYM
cana-6244	397	1	1,r	1,r	NUM
cana-6244	397	2	=	=	SYM
cana-6244	397	3	0	0	NUM
cana-6244	397	4	and	and	CCONJ
cana-6244	397	5	s	s	X
cana-6244	397	6	=	=	SYM
cana-6244	397	7	0	0	NUM
cana-6244	397	8	,	,	PUNCT
cana-6244	397	9	then	then	ADV
cana-6244	397	10	(	(	PUNCT
cana-6244	397	11	d3	d3	PROPN
cana-6244	397	12	xdy)(hk	xdy)(hk	NOUN
cana-6244	397	13	)	)	PUNCT
cana-6244	397	14	=	=	PUNCT
cana-6244	397	15	hxxxyk	hxxxyk	VERB
cana-6244	397	16	−	−	PROPN
cana-6244	397	17	3.hxxykx	3.hxxykx	NUM
cana-6244	397	18	+	+	CCONJ
cana-6244	397	19	3.hxykxx	3.hxykxx	NUM
cana-6244	397	20	−	−	PROPN
cana-6244	397	21	hykxxx	hykxxx	NOUN
cana-6244	397	22	−	−	PROPN
cana-6244	398	1	hxxxky	hxxxky	NOUN
cana-6244	399	1	+	+	CCONJ
cana-6244	399	2	3.hxxkxy	3.hxxkxy	NUM
cana-6244	399	3	−	−	SYM
cana-6244	399	4	3.hxkxxy	3.hxkxxy	NUM
cana-6244	399	5	+	+	CCONJ
cana-6244	399	6	hkxxxy	hkxxxy	NOUN
cana-6244	399	7	(	(	PUNCT
cana-6244	399	8	d3	d3	PROPN
cana-6244	399	9	xdy)(hh	xdy)(hh	ADJ
cana-6244	399	10	)	)	PUNCT
cana-6244	399	11	=	=	SYM
cana-6244	399	12	2	2	NUM
cana-6244	399	13	(	(	PUNCT
cana-6244	399	14	hxxxyh−	hxxxyh−	PROPN
cana-6244	399	15	3.hxxyhx	3.hxxyhx	NUM
cana-6244	399	16	+	+	SYM
cana-6244	399	17	3.hxyhxx	3.hxyhxx	NUM
cana-6244	399	18	−	−	PROPN
cana-6244	399	19	hyhxxx	hyhxxx	PROPN
cana-6244	399	20	)	)	PUNCT
cana-6244	399	21	let	let	VERB
cana-6244	399	22	p	p	NOUN
cana-6244	399	23	=	=	NOUN
cana-6244	399	24	3,q	3,q	NUM
cana-6244	399	25	=	=	SYM
cana-6244	400	1	0,r	0,r	NUM
cana-6244	400	2	=	=	SYM
cana-6244	400	3	1	1	NUM
cana-6244	400	4	and	and	CCONJ
cana-6244	400	5	s	s	X
cana-6244	400	6	then=	then=	NUM
cana-6244	400	7	0	0	NUM
cana-6244	400	8	,	,	PUNCT
cana-6244	400	9	(	(	PUNCT
cana-6244	400	10	d3	d3	PROPN
cana-6244	400	11	xdz)(hk	xdz)(hk	NOUN
cana-6244	400	12	)	)	PUNCT
cana-6244	400	13	=	=	SYM
cana-6244	400	14	hxxxzk	hxxxzk	NOUN
cana-6244	400	15	−	−	PROPN
cana-6244	400	16	3.hxxzkx	3.hxxzkx	NUM
cana-6244	400	17	+	+	CCONJ
cana-6244	400	18	3.hxzkxx	3.hxzkxx	NUM
cana-6244	400	19	−	−	NOUN
cana-6244	400	20	hzkxxx	hzkxxx	NOUN
cana-6244	400	21	−	−	PROPN
cana-6244	401	1	hxxxkz	hxxxkz	NOUN
cana-6244	401	2	+	+	CCONJ
cana-6244	401	3	3.hxxkxz	3.hxxkxz	NUM
cana-6244	401	4	−	−	NOUN
cana-6244	401	5	3.hxkxxz	3.hxkxxz	NUM
cana-6244	402	1	+	+	CCONJ
cana-6244	402	2	hkxxxz	hkxxxz	NOUN
cana-6244	402	3	(	(	PUNCT
cana-6244	402	4	d3	d3	PROPN
cana-6244	402	5	xdz)(hh	xdz)(hh	PROPN
cana-6244	402	6	)	)	PUNCT
cana-6244	403	1	=	=	SYM
cana-6244	404	1	2	2	NUM
cana-6244	404	2	(	(	PUNCT
cana-6244	404	3	hxxxzh−	hxxxzh−	NOUN
cana-6244	404	4	3.hxxzhx	3.hxxzhx	NUM
cana-6244	405	1	+	+	CCONJ
cana-6244	405	2	3.hxzhxx	3.hxzhxx	NUM
cana-6244	405	3	−	−	PROPN
cana-6244	405	4	hzhxxx	hzhxxx	PROPN
cana-6244	405	5	)	)	PUNCT
cana-6244	405	6	equation	equation	NOUN
cana-6244	405	7	(	(	PUNCT
cana-6244	405	8	78	78	NUM
cana-6244	405	9	)	)	PUNCT
cana-6244	405	10	makes	make	VERB
cana-6244	405	11	d	d	NOUN
cana-6244	405	12	-	-	NOUN
cana-6244	405	13	operator	operator	NOUN
cana-6244	405	14	form	form	NOUN
cana-6244	405	15	as	as	ADP
cana-6244	405	16	(	(	PUNCT
cana-6244	405	17	dydt	dydt	NOUN
cana-6244	405	18	+	+	NOUN
cana-6244	405	19	dzdt	dzdt	PROPN
cana-6244	405	20	+	+	NUM
cana-6244	405	21	d3	d3	PROPN
cana-6244	405	22	xdy	xdy	PROPN
cana-6244	406	1	+	+	NOUN
cana-6244	406	2	d3	d3	PROPN
cana-6244	406	3	xdz)h.h	xdz)h.h	CCONJ
cana-6244	406	4	(	(	PUNCT
cana-6244	406	5	79)=	79)=	NOUN
cana-6244	406	6	0	0	NUM
cana-6244	406	7	this	this	DET
cana-6244	406	8	equation	equation	NOUN
cana-6244	406	9	(	(	PUNCT
cana-6244	406	10	79	79	NUM
cana-6244	406	11	)	)	PUNCT
cana-6244	406	12	is	be	AUX
cana-6244	406	13	called	call	VERB
cana-6244	406	14	the	the	DET
cana-6244	406	15	hirota	hirota	PROPN
cana-6244	406	16	bilinear	bilinear	NOUN
cana-6244	406	17	form	form	NOUN
cana-6244	406	18	for	for	ADP
cana-6244	406	19	blmp	blmp	ADJ
cana-6244	406	20	equation	equation	NOUN
cana-6244	406	21	(	(	PUNCT
cana-6244	406	22	73	73	NUM
cana-6244	406	23	)	)	PUNCT
cana-6244	406	24	.	.	PUNCT
cana-6244	407	1	4	4	NUM
cana-6244	407	2	results	result	NOUN
cana-6244	407	3	and	and	CCONJ
cana-6244	407	4	analysis	analysis	NOUN
cana-6244	407	5	in	in	ADP
cana-6244	407	6	above	above	ADP
cana-6244	407	7	examples	example	NOUN
cana-6244	407	8	,	,	PUNCT
cana-6244	407	9	each	each	DET
cana-6244	407	10	nonlinear	nonlinear	ADJ
cana-6244	407	11	equation	equation	NOUN
cana-6244	407	12	was	be	AUX
cana-6244	407	13	analyzed	analyze	VERB
cana-6244	407	14	for	for	ADP
cana-6244	407	15	hirota	hirota	PROPN
cana-6244	407	16	’s	’s	PART
cana-6244	407	17	bilinear	bilinear	NOUN
cana-6244	407	18	equation	equation	NOUN
cana-6244	407	19	and	and	CCONJ
cana-6244	407	20	its	its	PRON
cana-6244	407	21	bilinear	bilinear	NOUN
cana-6244	407	22	form	form	NOUN
cana-6244	407	23	.	.	PUNCT
cana-6244	408	1	first	first	ADV
cana-6244	408	2	,	,	PUNCT
cana-6244	408	3	the	the	DET
cana-6244	408	4	original	original	ADJ
cana-6244	408	5	equation	equation	NOUN
cana-6244	408	6	was	be	AUX
cana-6244	408	7	transformed	transform	VERB
cana-6244	408	8	using	use	VERB
cana-6244	408	9	a	a	DET
cana-6244	408	10	cole	cole	NOUN
cana-6244	408	11	-	-	PUNCT
cana-6244	408	12	hopf	hopf	ADJ
cana-6244	408	13	transformation	transformation	NOUN
cana-6244	408	14	that	that	PRON
cana-6244	408	15	converts	convert	VERB
cana-6244	408	16	the	the	DET
cana-6244	408	17	equation	equation	NOUN
cana-6244	408	18	to	to	ADP
cana-6244	408	19	a	a	DET
cana-6244	408	20	simplified	simplified	ADJ
cana-6244	408	21	bilinear	bilinear	NOUN
cana-6244	408	22	equation	equation	NOUN
cana-6244	408	23	.	.	PUNCT
cana-6244	409	1	thereafter	thereafter	ADV
cana-6244	409	2	,	,	PUNCT
cana-6244	409	3	hirota	hirota	PROPN
cana-6244	409	4	’s	’s	PART
cana-6244	409	5	d	d	NOUN
cana-6244	409	6	-	-	PUNCT
cana-6244	409	7	operators	operator	NOUN
cana-6244	409	8	were	be	AUX
cana-6244	409	9	applied	apply	VERB
cana-6244	409	10	to	to	PART
cana-6244	409	11	express	express	VERB
cana-6244	409	12	the	the	DET
cana-6244	409	13	equation	equation	NOUN
cana-6244	409	14	in	in	ADP
cana-6244	409	15	bilinear	bilinear	NOUN
cana-6244	409	16	operator	operator	NOUN
cana-6244	409	17	notation	notation	NOUN
cana-6244	409	18	.	.	PUNCT
cana-6244	410	1	this	this	DET
cana-6244	410	2	approach	approach	NOUN
cana-6244	410	3	works	work	VERB
cana-6244	410	4	for	for	ADP
cana-6244	410	5	equations	equation	NOUN
cana-6244	410	6	with	with	ADP
cana-6244	410	7	multiple	multiple	ADJ
cana-6244	410	8	dimensions	dimension	NOUN
cana-6244	410	9	,	,	PUNCT
cana-6244	410	10	variable	variable	ADJ
cana-6244	410	11	coefficients	coefficient	NOUN
cana-6244	410	12	,	,	PUNCT
cana-6244	410	13	or	or	CCONJ
cana-6244	410	14	higher	high	ADJ
cana-6244	410	15	-	-	PUNCT
cana-6244	410	16	order	order	NOUN
cana-6244	410	17	derivatives	derivative	NOUN
cana-6244	410	18	.	.	PUNCT
cana-6244	411	1	the	the	DET
cana-6244	411	2	bilinear	bilinear	NOUN
cana-6244	411	3	forms	form	NOUN
cana-6244	411	4	provide	provide	VERB
cana-6244	411	5	a	a	DET
cana-6244	411	6	convenient	convenient	ADJ
cana-6244	411	7	framework	framework	NOUN
cana-6244	411	8	for	for	ADP
cana-6244	411	9	obtaining	obtain	VERB
cana-6244	411	10	exact	exact	ADJ
cana-6244	411	11	solutions	solution	NOUN
cana-6244	411	12	with	with	ADP
cana-6244	411	13	the	the	DET
cana-6244	411	14	symbolic	symbolic	ADJ
cana-6244	411	15	computation	computation	NOUN
cana-6244	411	16	.	.	PUNCT
cana-6244	412	1	4.1	4.1	NUM
cana-6244	412	2	kdv	kdv	NOUN
cana-6244	412	3	equation	equation	NOUN
cana-6244	412	4	the	the	DET
cana-6244	412	5	equation	equation	NOUN
cana-6244	412	6	in	in	ADP
cana-6244	412	7	u(x	u(x	PROPN
cana-6244	412	8	,	,	PUNCT
cana-6244	412	9	t	t	PROPN
cana-6244	412	10	)	)	PUNCT
cana-6244	412	11	as	as	ADP
cana-6244	412	12	ut	ut	PROPN
cana-6244	412	13	+	+	PROPN
cana-6244	412	14	6uux	6uux	NUM
cana-6244	412	15	+	+	CCONJ
cana-6244	412	16	uxxx	uxxx	ADJ
cana-6244	412	17	=	=	SYM
cana-6244	412	18	0	0	X
cana-6244	412	19	.	.	PUNCT
cana-6244	413	1	using	use	VERB
cana-6244	413	2	the	the	DET
cana-6244	413	3	cole	cole	NOUN
cana-6244	413	4	-	-	PUNCT
cana-6244	413	5	hopf	hopf	ADJ
cana-6244	413	6	transformation	transformation	NOUN
cana-6244	413	7	,	,	PUNCT
cana-6244	413	8	the	the	DET
cana-6244	413	9	solution	solution	NOUN
cana-6244	413	10	is	be	AUX
cana-6244	413	11	expressed	express	VERB
cana-6244	413	12	as	as	ADP
cana-6244	413	13	u	u	NOUN
cana-6244	413	14	=	=	NOUN
cana-6244	413	15	2(lnh)xx	2(lnh)xx	NUM
cana-6244	413	16	.	.	PUNCT
cana-6244	414	1	that	that	PRON
cana-6244	414	2	gives	give	VERB
cana-6244	414	3	a	a	DET
cana-6244	414	4	bilinear	bilinear	NOUN
cana-6244	414	5	equation	equation	NOUN
cana-6244	414	6	as	as	ADP
cana-6244	414	7	hhxt	hhxt	NOUN
cana-6244	414	8	−	−	PROPN
cana-6244	414	9	hxht	hxht	NOUN
cana-6244	414	10	+	+	CCONJ
cana-6244	414	11	3h2xx	3h2xx	NUM
cana-6244	414	12	−	−	PROPN
cana-6244	414	13	4hxhxxx	4hxhxxx	NUM
cana-6244	414	14	+	+	NUM
cana-6244	414	15	hhxxxx	hhxxxx	NOUN
cana-6244	414	16	=	=	SYM
cana-6244	414	17	0	0	PROPN
cana-6244	414	18	,	,	PUNCT
cana-6244	414	19	which	which	PRON
cana-6244	414	20	gives	give	VERB
cana-6244	414	21	hirota	hirota	PROPN
cana-6244	414	22	’s	’s	PART
cana-6244	414	23	bilinear	bilinear	NOUN
cana-6244	414	24	operator	operator	NOUN
cana-6244	414	25	form	form	NOUN
cana-6244	414	26	as	as	ADP
cana-6244	414	27	(	(	PUNCT
cana-6244	414	28	dxdt	dxdt	NOUN
cana-6244	414	29	+	+	PROPN
cana-6244	414	30	dx	dx	PROPN
cana-6244	414	31	4)h	4)h	NUM
cana-6244	414	32	·	·	PUNCT
cana-6244	414	33	h	h	NOUN
cana-6244	414	34	=	=	NOUN
cana-6244	414	35	0	0	NUM
cana-6244	414	36	.	.	PUNCT
cana-6244	415	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	415	2	1230	1230	NUM
cana-6244	415	3	communications	communication	NOUN
cana-6244	415	4	on	on	ADP
cana-6244	415	5	applied	apply	VERB
cana-6244	415	6	nonlinear	nonlinear	ADJ
cana-6244	415	7	analysis	analysis	NOUN
cana-6244	415	8	issn	issn	NOUN
cana-6244	415	9	:	:	PUNCT
cana-6244	415	10	1074	1074	NUM
cana-6244	415	11	-	-	PUNCT
cana-6244	415	12	133x	133x	NUM
cana-6244	415	13	vol	vol	NOUN
cana-6244	415	14	31	31	NUM
cana-6244	415	15	no	no	NOUN
cana-6244	415	16	.	.	PUNCT
cana-6244	416	1	8s	8s	PROPN
cana-6244	416	2	(	(	PUNCT
cana-6244	416	3	2024	2024	NUM
cana-6244	416	4	)	)	PUNCT
cana-6244	416	5	4.2	4.2	NUM
cana-6244	416	6	boussinesq	boussinesq	NOUN
cana-6244	416	7	equation	equation	NOUN
cana-6244	416	8	the	the	DET
cana-6244	416	9	boussinesq	boussinesq	ADJ
cana-6244	416	10	equation	equation	NOUN
cana-6244	416	11	is	be	AUX
cana-6244	416	12	utt	utt	ADJ
cana-6244	416	13	−	−	PROPN
cana-6244	416	14	uxx	uxx	NOUN
cana-6244	416	15	−	−	PROPN
cana-6244	417	1	3(u2)xx	3(u2)xx	NUM
cana-6244	417	2	−	−	NOUN
cana-6244	417	3	uxxxx	uxxxx	NOUN
cana-6244	417	4	=	=	NOUN
cana-6244	417	5	0	0	NUM
cana-6244	417	6	.	.	PUNCT
cana-6244	418	1	using	use	VERB
cana-6244	418	2	the	the	DET
cana-6244	418	3	cole	cole	NOUN
cana-6244	418	4	-	-	PUNCT
cana-6244	418	5	hopf	hopf	ADJ
cana-6244	418	6	transformation	transformation	NOUN
cana-6244	418	7	,	,	PUNCT
cana-6244	418	8	the	the	DET
cana-6244	418	9	solution	solution	NOUN
cana-6244	418	10	is	be	AUX
cana-6244	418	11	expressed	express	VERB
cana-6244	418	12	as	as	SCONJ
cana-6244	418	13	u	u	NOUN
cana-6244	418	14	=	=	PROPN
cana-6244	418	15	2(ln	2(ln	NUM
cana-6244	418	16	h)xx	h)xx	PROPN
cana-6244	418	17	,	,	PUNCT
cana-6244	418	18	that	that	PRON
cana-6244	418	19	gives	give	VERB
cana-6244	418	20	a	a	DET
cana-6244	418	21	bilinear	bilinear	NOUN
cana-6244	418	22	equation	equation	NOUN
cana-6244	418	23	as	as	ADP
cana-6244	418	24	hhtt	hhtt	PROPN
cana-6244	418	25	−	−	PROPN
cana-6244	418	26	h2	h2	PROPN
cana-6244	418	27	t	t	PROPN
cana-6244	418	28	−	−	PROPN
cana-6244	418	29	hhxx	hhxx	PROPN
cana-6244	418	30	+	+	CCONJ
cana-6244	418	31	h2x	h2x	PROPN
cana-6244	418	32	−	−	PROPN
cana-6244	418	33	hhxxxx	hhxxxx	NOUN
cana-6244	419	1	+	+	CCONJ
cana-6244	420	1	4hxhxxx	4hxhxxx	NUM
cana-6244	420	2	−	−	NOUN
cana-6244	420	3	3h2xx	3h2xx	NUM
cana-6244	420	4	=	=	SYM
cana-6244	420	5	0	0	NUM
cana-6244	420	6	,	,	PUNCT
cana-6244	420	7	which	which	PRON
cana-6244	420	8	gives	give	VERB
cana-6244	420	9	hirota	hirota	PROPN
cana-6244	420	10	’s	’s	PART
cana-6244	420	11	bilinear	bilinear	NOUN
cana-6244	420	12	operator	operator	NOUN
cana-6244	420	13	form	form	NOUN
cana-6244	420	14	as	as	ADP
cana-6244	420	15	(	(	PUNCT
cana-6244	420	16	d2	d2	PROPN
cana-6244	420	17	t	t	PROPN
cana-6244	420	18	−d2	−d2	NOUN
cana-6244	420	19	x	x	PUNCT
cana-6244	420	20	−d4	−d4	PROPN
cana-6244	420	21	x)h	x)h	PUNCT
cana-6244	420	22	·	·	PUNCT
cana-6244	420	23	h	h	NOUN
cana-6244	420	24	=	=	NOUN
cana-6244	420	25	0	0	X
cana-6244	420	26	.	.	X
cana-6244	420	27	4.3	4.3	NUM
cana-6244	420	28	kp	kp	PROPN
cana-6244	420	29	equation	equation	NOUN
cana-6244	420	30	the	the	DET
cana-6244	420	31	equation	equation	NOUN
cana-6244	420	32	is	be	AUX
cana-6244	420	33	(	(	PUNCT
cana-6244	420	34	ut	ut	PROPN
cana-6244	420	35	+	+	PROPN
cana-6244	420	36	6uux	6uux	NUM
cana-6244	420	37	+	+	CCONJ
cana-6244	420	38	uxxx)x	uxxx)x	ADJ
cana-6244	420	39	−	−	PROPN
cana-6244	421	1	uyy	uyy	PROPN
cana-6244	421	2	=	=	SYM
cana-6244	421	3	0	0	PROPN
cana-6244	421	4	.	.	PUNCT
cana-6244	422	1	using	use	VERB
cana-6244	422	2	the	the	DET
cana-6244	422	3	cole	cole	NOUN
cana-6244	422	4	-	-	PUNCT
cana-6244	422	5	hopf	hopf	ADJ
cana-6244	422	6	transformation	transformation	NOUN
cana-6244	422	7	,	,	PUNCT
cana-6244	422	8	the	the	DET
cana-6244	422	9	solution	solution	NOUN
cana-6244	422	10	is	be	AUX
cana-6244	422	11	expressed	express	VERB
cana-6244	422	12	as	as	ADP
cana-6244	422	13	u	u	NOUN
cana-6244	422	14	=	=	NOUN
cana-6244	422	15	2(lnh)xx	2(lnh)xx	NUM
cana-6244	422	16	,	,	PUNCT
cana-6244	422	17	that	that	PRON
cana-6244	422	18	gives	give	VERB
cana-6244	422	19	a	a	DET
cana-6244	422	20	bilinear	bilinear	NOUN
cana-6244	422	21	equation	equation	NOUN
cana-6244	422	22	as	as	ADP
cana-6244	422	23	hhxt	hhxt	NOUN
cana-6244	422	24	−	−	PROPN
cana-6244	422	25	hxht	hxht	NOUN
cana-6244	422	26	+	+	CCONJ
cana-6244	423	1	3h2xx	3h2xx	NUM
cana-6244	423	2	−	−	PROPN
cana-6244	423	3	4hxhxxx	4hxhxxx	NUM
cana-6244	423	4	+	+	NUM
cana-6244	423	5	hhxxxx	hhxxxx	ADJ
cana-6244	423	6	−	−	NOUN
cana-6244	423	7	hhyy	hhyy	NOUN
cana-6244	423	8	+	+	CCONJ
cana-6244	423	9	h2y	h2y	NOUN
cana-6244	423	10	=	=	SYM
cana-6244	423	11	0	0	X
cana-6244	423	12	.	.	NOUN
cana-6244	423	13	which	which	PRON
cana-6244	423	14	gives	give	VERB
cana-6244	423	15	hirota	hirota	PROPN
cana-6244	423	16	’s	’s	PART
cana-6244	423	17	bilinear	bilinear	NOUN
cana-6244	423	18	operator	operator	NOUN
cana-6244	423	19	form	form	NOUN
cana-6244	423	20	as	as	ADP
cana-6244	423	21	(	(	PUNCT
cana-6244	423	22	dxdt	dxdt	NOUN
cana-6244	423	23	+	+	PROPN
cana-6244	423	24	d4	d4	PROPN
cana-6244	423	25	x	x	PUNCT
cana-6244	423	26	−d2	−d2	NOUN
cana-6244	423	27	y)h	y)h	NOUN
cana-6244	423	28	·	·	PUNCT
cana-6244	423	29	h	h	NOUN
cana-6244	423	30	=	=	SYM
cana-6244	423	31	0	0	NUM
cana-6244	423	32	.	.	PUNCT
cana-6244	423	33	4.4	4.4	NUM
cana-6244	423	34	kp	kp	PROPN
cana-6244	423	35	equation	equation	NOUN
cana-6244	423	36	with	with	ADP
cana-6244	423	37	variable	variable	ADJ
cana-6244	423	38	coefficient	coefficient	NOUN
cana-6244	423	39	the	the	DET
cana-6244	423	40	vc	vc	PROPN
cana-6244	423	41	-	-	PUNCT
cana-6244	423	42	kp	kp	PROPN
cana-6244	423	43	equation	equation	NOUN
cana-6244	423	44	is	be	AUX
cana-6244	423	45	(	(	PUNCT
cana-6244	423	46	ut	ut	PROPN
cana-6244	423	47	+	+	PROPN
cana-6244	423	48	uux	uux	PROPN
cana-6244	423	49	+	+	PROPN
cana-6244	423	50	uxxx)x	uxxx)x	PROPN
cana-6244	424	1	+	+	CCONJ
cana-6244	424	2	g(t)uxy	g(t)uxy	PROPN
cana-6244	424	3	+	+	CCONJ
cana-6244	424	4	3uyy	3uyy	PROPN
cana-6244	424	5	=	=	SYM
cana-6244	424	6	0	0	X
cana-6244	424	7	.	.	PUNCT
cana-6244	424	8	using	use	VERB
cana-6244	424	9	the	the	DET
cana-6244	424	10	transformation	transformation	NOUN
cana-6244	424	11	,	,	PUNCT
cana-6244	424	12	the	the	DET
cana-6244	424	13	solution	solution	NOUN
cana-6244	424	14	is	be	AUX
cana-6244	424	15	expressed	express	VERB
cana-6244	424	16	as	as	ADP
cana-6244	424	17	u	u	NOUN
cana-6244	424	18	=	=	NOUN
cana-6244	424	19	12(lnh)xx	12(lnh)xx	NUM
cana-6244	424	20	,	,	PUNCT
cana-6244	424	21	that	that	PRON
cana-6244	424	22	gives	give	VERB
cana-6244	424	23	a	a	DET
cana-6244	424	24	bilinear	bilinear	NOUN
cana-6244	424	25	equation	equation	NOUN
cana-6244	424	26	as	as	ADP
cana-6244	424	27	hhxt	hhxt	NOUN
cana-6244	424	28	−	−	PROPN
cana-6244	424	29	hxht	hxht	NOUN
cana-6244	424	30	+	+	CCONJ
cana-6244	424	31	3h2xx	3h2xx	NUM
cana-6244	424	32	−	−	PROPN
cana-6244	424	33	4hxhxxx	4hxhxxx	NUM
cana-6244	424	34	+	+	NUM
cana-6244	424	35	hhxxxx	hhxxxx	NOUN
cana-6244	424	36	+	+	CCONJ
cana-6244	424	37	3hhyy	3hhyy	NUM
cana-6244	424	38	−	−	PROPN
cana-6244	424	39	3h2y	3h2y	NOUN
cana-6244	424	40	−	−	PROPN
cana-6244	424	41	g(t)hyhx	g(t)hyhx	PUNCT
cana-6244	424	42	+	+	CCONJ
cana-6244	424	43	g(t)hhxy	g(t)hhxy	NOUN
cana-6244	424	44	=	=	SYM
cana-6244	424	45	0	0	NUM
cana-6244	424	46	,	,	PUNCT
cana-6244	424	47	which	which	PRON
cana-6244	424	48	gives	give	VERB
cana-6244	424	49	hirota	hirota	PROPN
cana-6244	424	50	’s	’s	PART
cana-6244	424	51	bilinear	bilinear	NOUN
cana-6244	424	52	operator	operator	NOUN
cana-6244	424	53	form	form	NOUN
cana-6244	424	54	as	as	ADP
cana-6244	424	55	(	(	PUNCT
cana-6244	424	56	dxdt	dxdt	NOUN
cana-6244	424	57	+	+	PROPN
cana-6244	424	58	d4	d4	PROPN
cana-6244	424	59	x	x	PUNCT
cana-6244	425	1	+	+	NUM
cana-6244	425	2	3d2	3d2	NUM
cana-6244	425	3	y	y	PROPN
cana-6244	425	4	+	+	NUM
cana-6244	425	5	g(t)dxdy)h	g(t)dxdy)h	NOUN
cana-6244	425	6	·	·	PUNCT
cana-6244	425	7	h	h	NOUN
cana-6244	426	1	=	=	NOUN
cana-6244	426	2	0	0	NUM
cana-6244	426	3	.	.	PUNCT
cana-6244	427	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	427	2	1231	1231	NUM
cana-6244	427	3	communications	communication	NOUN
cana-6244	427	4	on	on	ADP
cana-6244	427	5	applied	apply	VERB
cana-6244	427	6	nonlinear	nonlinear	ADJ
cana-6244	427	7	analysis	analysis	NOUN
cana-6244	427	8	issn	issn	NOUN
cana-6244	427	9	:	:	PUNCT
cana-6244	427	10	1074	1074	NUM
cana-6244	427	11	-	-	PUNCT
cana-6244	427	12	133x	133x	NUM
cana-6244	427	13	vol	vol	NOUN
cana-6244	427	14	31	31	NUM
cana-6244	427	15	no	no	NOUN
cana-6244	427	16	.	.	PUNCT
cana-6244	428	1	8s	8s	PROPN
cana-6244	428	2	(	(	PUNCT
cana-6244	428	3	2024	2024	NUM
cana-6244	428	4	)	)	PUNCT
cana-6244	428	5	4.5	4.5	NUM
cana-6244	428	6	graphene	graphene	NOUN
cana-6244	428	7	-	-	PUNCT
cana-6244	428	8	sheets	sheet	NOUN
cana-6244	428	9	equation	equation	NOUN
cana-6244	428	10	the	the	DET
cana-6244	428	11	graphene	graphene	NOUN
cana-6244	428	12	-	-	PUNCT
cana-6244	428	13	sheets	sheet	NOUN
cana-6244	428	14	equation	equation	NOUN
cana-6244	428	15	is	be	AUX
cana-6244	428	16	uxt	uxt	NOUN
cana-6244	428	17	+	+	CCONJ
cana-6244	428	18	(	(	PUNCT
cana-6244	428	19	uux	uux	PROPN
cana-6244	428	20	+	+	PROPN
cana-6244	428	21	uxxx	uxxx	PROPN
cana-6244	428	22	+	+	CCONJ
cana-6244	428	23	(	(	PUNCT
cana-6244	428	24	α(t	α(t	NUM
cana-6244	428	25	)	)	PUNCT
cana-6244	428	26	+	+	SYM
cana-6244	428	27	β)ux)x	β)ux)x	NOUN
cana-6244	429	1	+	+	CCONJ
cana-6244	429	2	γ(t)uyy	γ(t)uyy	NOUN
cana-6244	429	3	=	=	PUNCT
cana-6244	429	4	0	0	X
cana-6244	429	5	.	.	PUNCT
cana-6244	430	1	using	use	VERB
cana-6244	430	2	the	the	DET
cana-6244	430	3	transformation	transformation	NOUN
cana-6244	430	4	,	,	PUNCT
cana-6244	430	5	the	the	DET
cana-6244	430	6	solution	solution	NOUN
cana-6244	430	7	is	be	AUX
cana-6244	430	8	expressed	express	VERB
cana-6244	430	9	as	as	ADP
cana-6244	430	10	u	u	NOUN
cana-6244	430	11	=	=	NOUN
cana-6244	430	12	12(lnh)xx	12(lnh)xx	NUM
cana-6244	430	13	,	,	PUNCT
cana-6244	430	14	that	that	PRON
cana-6244	430	15	gives	give	VERB
cana-6244	430	16	a	a	DET
cana-6244	430	17	bilinear	bilinear	NOUN
cana-6244	430	18	equation	equation	NOUN
cana-6244	430	19	as	as	ADP
cana-6244	430	20	(	(	PUNCT
cana-6244	430	21	hhxt	hhxt	NOUN
cana-6244	430	22	−	−	PROPN
cana-6244	430	23	hxht	hxht	NOUN
cana-6244	430	24	)	)	PUNCT
cana-6244	431	1	+	+	CCONJ
cana-6244	431	2	(	(	PUNCT
cana-6244	431	3	β	β	X
cana-6244	431	4	+	+	X
cana-6244	431	5	α(t))(hhxx	α(t))(hhxx	PROPN
cana-6244	431	6	+	+	CCONJ
cana-6244	431	7	h2x	h2x	NUM
cana-6244	431	8	)	)	PUNCT
cana-6244	431	9	+	+	CCONJ
cana-6244	431	10	γ(t)(hhyy	γ(t)(hhyy	NOUN
cana-6244	431	11	−	−	PRON
cana-6244	431	12	h2y	h2y	PROPN
cana-6244	431	13	)	)	PUNCT
cana-6244	432	1	+	+	CCONJ
cana-6244	432	2	(	(	PUNCT
cana-6244	432	3	hhxxxx	hhxxxx	NOUN
cana-6244	432	4	−	−	PROPN
cana-6244	432	5	4hxhxxx	4hxhxxx	NUM
cana-6244	432	6	+	+	NUM
cana-6244	432	7	3h2xx	3h2xx	NUM
cana-6244	432	8	)	)	PUNCT
cana-6244	432	9	=	=	SYM
cana-6244	432	10	0	0	NUM
cana-6244	432	11	,	,	PUNCT
cana-6244	432	12	which	which	PRON
cana-6244	432	13	gives	give	VERB
cana-6244	432	14	hirota	hirota	PROPN
cana-6244	432	15	’s	’s	PART
cana-6244	432	16	bilinear	bilinear	NOUN
cana-6244	432	17	operator	operator	NOUN
cana-6244	432	18	form	form	NOUN
cana-6244	432	19	as	as	ADP
cana-6244	432	20	(	(	PUNCT
cana-6244	432	21	dxdt	dxdt	NOUN
cana-6244	432	22	+	+	CCONJ
cana-6244	432	23	(	(	PUNCT
cana-6244	432	24	β	β	X
cana-6244	432	25	+	+	X
cana-6244	432	26	α(t))d2	α(t))d2	NUM
cana-6244	432	27	x	x	NOUN
cana-6244	433	1	+	+	CCONJ
cana-6244	433	2	γ(t)d2	γ(t)d2	NOUN
cana-6244	433	3	y	y	PROPN
cana-6244	433	4	+	+	PROPN
cana-6244	433	5	d4	d4	PROPN
cana-6244	433	6	x)h	x)h	PUNCT
cana-6244	433	7	·	·	PUNCT
cana-6244	433	8	h	h	NOUN
cana-6244	434	1	=	=	NOUN
cana-6244	434	2	0	0	NUM
cana-6244	434	3	.	.	PUNCT
cana-6244	434	4	4.6	4.6	NUM
cana-6244	434	5	bkp	bkp	NOUN
cana-6244	434	6	equation	equation	NOUN
cana-6244	434	7	the	the	DET
cana-6244	434	8	bkp	bkp	NOUN
cana-6244	434	9	equation	equation	NOUN
cana-6244	434	10	is	be	AUX
cana-6244	434	11	uyt	uyt	NOUN
cana-6244	435	1	+	+	CCONJ
cana-6244	436	1	3uxz	3uxz	NUM
cana-6244	437	1	−	−	NOUN
cana-6244	437	2	3uxuxy	3uxuxy	NUM
cana-6244	437	3	−	−	PROPN
cana-6244	437	4	3uxxuy	3uxxuy	NUM
cana-6244	437	5	−	−	NOUN
cana-6244	437	6	uxxxy	uxxxy	NOUN
cana-6244	437	7	=	=	NOUN
cana-6244	437	8	0	0	X
cana-6244	437	9	.	.	PUNCT
cana-6244	438	1	using	use	VERB
cana-6244	438	2	the	the	DET
cana-6244	438	3	transformation	transformation	NOUN
cana-6244	438	4	,	,	PUNCT
cana-6244	438	5	the	the	DET
cana-6244	438	6	solution	solution	NOUN
cana-6244	438	7	is	be	AUX
cana-6244	438	8	expressed	express	VERB
cana-6244	438	9	as	as	ADP
cana-6244	438	10	u	u	NOUN
cana-6244	438	11	=	=	NOUN
cana-6244	438	12	2(lnh)x	2(lnh)x	NUM
cana-6244	438	13	,	,	PUNCT
cana-6244	438	14	that	that	PRON
cana-6244	438	15	gives	give	VERB
cana-6244	438	16	a	a	DET
cana-6244	438	17	bilinear	bilinear	NOUN
cana-6244	438	18	equation	equation	NOUN
cana-6244	438	19	as	as	ADP
cana-6244	438	20	hhyt	hhyt	NOUN
cana-6244	438	21	−	−	PROPN
cana-6244	438	22	hyht	hyht	NOUN
cana-6244	438	23	+	+	NUM
cana-6244	438	24	3(hhxz	3(hhxz	NUM
cana-6244	438	25	−	−	NOUN
cana-6244	438	26	hxhz	hxhz	NOUN
cana-6244	438	27	)	)	PUNCT
cana-6244	439	1	−	−	NOUN
cana-6244	439	2	hhxxxy	hhxxxy	NOUN
cana-6244	440	1	+	+	CCONJ
cana-6244	440	2	3hxxyhx	3hxxyhx	NUM
cana-6244	440	3	−	−	NOUN
cana-6244	440	4	3hxyhxx	3hxyhxx	NUM
cana-6244	440	5	+	+	CCONJ
cana-6244	440	6	hyhxxx	hyhxxx	ADJ
cana-6244	440	7	=	=	SYM
cana-6244	440	8	0	0	PROPN
cana-6244	440	9	,	,	PUNCT
cana-6244	440	10	which	which	PRON
cana-6244	440	11	gives	give	VERB
cana-6244	440	12	hirota	hirota	PROPN
cana-6244	440	13	’s	’s	PART
cana-6244	440	14	bilinear	bilinear	NOUN
cana-6244	440	15	operator	operator	NOUN
cana-6244	440	16	form	form	NOUN
cana-6244	440	17	as	as	ADP
cana-6244	440	18	(	(	PUNCT
cana-6244	440	19	dydt	dydt	NOUN
cana-6244	440	20	+	+	PROPN
cana-6244	440	21	3dxdz	3dxdz	NUM
cana-6244	440	22	−d3	−d3	NOUN
cana-6244	440	23	xdy)h	xdy)h	X
cana-6244	440	24	·	·	PUNCT
cana-6244	440	25	h	h	NOUN
cana-6244	440	26	=	=	NOUN
cana-6244	440	27	0	0	NUM
cana-6244	440	28	.	.	PUNCT
cana-6244	440	29	4.7	4.7	NUM
cana-6244	440	30	blmp	blmp	ADJ
cana-6244	440	31	equation	equation	NOUN
cana-6244	440	32	the	the	DET
cana-6244	440	33	equation	equation	NOUN
cana-6244	440	34	is	be	AUX
cana-6244	440	35	uyt	uyt	NOUN
cana-6244	440	36	+	+	CCONJ
cana-6244	440	37	uzt	uzt	NOUN
cana-6244	440	38	+	+	NUM
cana-6244	440	39	uxxxy	uxxxy	NOUN
cana-6244	440	40	+	+	CCONJ
cana-6244	440	41	uxxxz	uxxxz	NOUN
cana-6244	441	1	−	−	PROPN
cana-6244	441	2	3uxuxy	3uxuxy	NUM
cana-6244	441	3	−	−	PROPN
cana-6244	441	4	3uxuxz	3uxuxz	NUM
cana-6244	441	5	−	−	NOUN
cana-6244	441	6	3uxxuy	3uxxuy	NUM
cana-6244	441	7	−	−	NOUN
cana-6244	441	8	3uxxuz	3uxxuz	NUM
cana-6244	441	9	=	=	SYM
cana-6244	441	10	0	0	NUM
cana-6244	441	11	.	.	PUNCT
cana-6244	442	1	using	use	VERB
cana-6244	442	2	the	the	DET
cana-6244	442	3	transformation	transformation	NOUN
cana-6244	442	4	,	,	PUNCT
cana-6244	442	5	the	the	DET
cana-6244	442	6	solution	solution	NOUN
cana-6244	442	7	is	be	AUX
cana-6244	442	8	expressed	express	VERB
cana-6244	442	9	as	as	ADP
cana-6244	442	10	u	u	NOUN
cana-6244	442	11	=	=	NOUN
cana-6244	442	12	−2(lnh)x	−2(lnh)x	NOUN
cana-6244	442	13	,	,	PUNCT
cana-6244	442	14	that	that	PRON
cana-6244	442	15	gives	give	VERB
cana-6244	442	16	a	a	DET
cana-6244	442	17	bilinear	bilinear	NOUN
cana-6244	442	18	equation	equation	NOUN
cana-6244	442	19	as	as	ADP
cana-6244	442	20	hhyt−hyht+hhzt−hzht+hhxxxy−3hxhxxy	hhyt−hyht+hhzt−hzht+hhxxxy−3hxhxxy	INTJ
cana-6244	442	21	+3hxyhxx−hyhxxx+hhxxxz−3hxhxxz	+3hxyhxx−hyhxxx+hhxxxz−3hxhxxz	NOUN
cana-6244	442	22	+3hxzhxx−hzhxxx	+3hxzhxx−hzhxxx	PROPN
cana-6244	442	23	=	=	SYM
cana-6244	442	24	0	0	PROPN
cana-6244	442	25	,	,	PUNCT
cana-6244	442	26	which	which	PRON
cana-6244	442	27	gives	give	VERB
cana-6244	442	28	hirota	hirota	PROPN
cana-6244	442	29	’s	’s	PART
cana-6244	442	30	bilinear	bilinear	NOUN
cana-6244	442	31	operator	operator	NOUN
cana-6244	442	32	form	form	NOUN
cana-6244	442	33	as	as	ADP
cana-6244	442	34	(	(	PUNCT
cana-6244	442	35	dydt	dydt	NOUN
cana-6244	443	1	+	+	NOUN
cana-6244	443	2	dzdt	dzdt	PROPN
cana-6244	443	3	+	+	NUM
cana-6244	443	4	d3	d3	PROPN
cana-6244	443	5	xdy	xdy	PUNCT
cana-6244	444	1	+	+	NOUN
cana-6244	444	2	d3	d3	PROPN
cana-6244	444	3	xdz)h	xdz)h	PROPN
cana-6244	444	4	·	·	PUNCT
cana-6244	444	5	h	h	NOUN
cana-6244	444	6	=	=	PUNCT
cana-6244	444	7	0	0	NUM
cana-6244	444	8	.	.	PUNCT
cana-6244	445	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	445	2	1232	1232	NUM
cana-6244	445	3	communications	communication	NOUN
cana-6244	445	4	on	on	ADP
cana-6244	445	5	applied	apply	VERB
cana-6244	445	6	nonlinear	nonlinear	ADJ
cana-6244	445	7	analysis	analysis	NOUN
cana-6244	445	8	issn	issn	NOUN
cana-6244	445	9	:	:	PUNCT
cana-6244	445	10	1074	1074	NUM
cana-6244	445	11	-	-	PUNCT
cana-6244	445	12	133x	133x	NUM
cana-6244	445	13	vol	vol	NOUN
cana-6244	445	14	31	31	NUM
cana-6244	445	15	no	no	NOUN
cana-6244	445	16	.	.	PUNCT
cana-6244	446	1	8s	8s	PROPN
cana-6244	446	2	(	(	PUNCT
cana-6244	446	3	2024	2024	NUM
cana-6244	446	4	)	)	PUNCT
cana-6244	446	5	5	5	NUM
cana-6244	446	6	conclusions	conclusion	NOUN
cana-6244	446	7	in	in	ADP
cana-6244	446	8	this	this	DET
cana-6244	446	9	manuscript	manuscript	NOUN
cana-6244	446	10	,	,	PUNCT
cana-6244	446	11	we	we	PRON
cana-6244	446	12	explored	explore	VERB
cana-6244	446	13	the	the	DET
cana-6244	446	14	symbolic	symbolic	ADJ
cana-6244	446	15	algorithm	algorithm	NOUN
cana-6244	446	16	for	for	ADP
cana-6244	446	17	creating	create	VERB
cana-6244	446	18	the	the	DET
cana-6244	446	19	hirota’a	hirota’a	NOUN
cana-6244	446	20	bilinear	bilinear	PROPN
cana-6244	446	21	form	form	NOUN
cana-6244	446	22	for	for	ADP
cana-6244	446	23	nonlinear	nonlinear	ADJ
cana-6244	446	24	pdes	pde	NOUN
cana-6244	446	25	in	in	ADP
cana-6244	446	26	higher	high	ADJ
cana-6244	446	27	-	-	PUNCT
cana-6244	446	28	dimensions	dimension	NOUN
cana-6244	446	29	.	.	PUNCT
cana-6244	447	1	algorithm	algorithm	PROPN
cana-6244	447	2	found	find	VERB
cana-6244	447	3	the	the	DET
cana-6244	447	4	cole	cole	NOUN
cana-6244	447	5	-	-	PUNCT
cana-6244	447	6	hopf	hopf	ADJ
cana-6244	447	7	transformation	transformation	NOUN
cana-6244	447	8	by	by	ADP
cana-6244	447	9	balancing	balance	VERB
cana-6244	447	10	nonlinear	nonlinear	ADJ
cana-6244	447	11	and	and	CCONJ
cana-6244	447	12	higher	high	ADJ
cana-6244	447	13	order	order	NOUN
cana-6244	447	14	terms	term	NOUN
cana-6244	447	15	.	.	PUNCT
cana-6244	448	1	it	it	PRON
cana-6244	448	2	constructed	construct	VERB
cana-6244	448	3	the	the	DET
cana-6244	448	4	bilinear	bilinear	NOUN
cana-6244	448	5	equations	equation	NOUN
cana-6244	448	6	using	use	VERB
cana-6244	448	7	the	the	DET
cana-6244	448	8	obtained	obtain	VERB
cana-6244	448	9	transformations	transformation	NOUN
cana-6244	448	10	.	.	PUNCT
cana-6244	449	1	next	next	ADV
cana-6244	449	2	,	,	PUNCT
cana-6244	449	3	it	it	PRON
cana-6244	449	4	constructed	construct	VERB
cana-6244	449	5	the	the	DET
cana-6244	449	6	hirota	hirota	NOUN
cana-6244	449	7	’s	’s	PART
cana-6244	449	8	d	d	NOUN
cana-6244	449	9	-	-	PUNCT
cana-6244	449	10	operators	operator	NOUN
cana-6244	449	11	so	so	SCONJ
cana-6244	449	12	that	that	SCONJ
cana-6244	449	13	it	it	PRON
cana-6244	449	14	could	could	AUX
cana-6244	449	15	convert	convert	VERB
cana-6244	449	16	the	the	DET
cana-6244	449	17	bilinear	bilinear	NOUN
cana-6244	449	18	equation	equation	NOUN
cana-6244	449	19	to	to	PART
cana-6244	449	20	bilinear	bilinear	VERB
cana-6244	449	21	d	d	NOUN
cana-6244	449	22	-	-	NOUN
cana-6244	449	23	operator	operator	NOUN
cana-6244	449	24	form	form	NOUN
cana-6244	449	25	.	.	PUNCT
cana-6244	450	1	after	after	ADP
cana-6244	450	2	converting	convert	VERB
cana-6244	450	3	nonlinear	nonlinear	ADJ
cana-6244	450	4	pdes	pde	NOUN
cana-6244	450	5	into	into	ADP
cana-6244	450	6	bilinear	bilinear	NOUN
cana-6244	450	7	forms	form	NOUN
cana-6244	450	8	,	,	PUNCT
cana-6244	450	9	we	we	PRON
cana-6244	450	10	can	can	AUX
cana-6244	450	11	obtain	obtain	VERB
cana-6244	450	12	exact	exact	ADJ
cana-6244	450	13	solutions	solution	NOUN
cana-6244	450	14	such	such	ADJ
cana-6244	450	15	as	as	ADP
cana-6244	450	16	lumps	lump	NOUN
cana-6244	450	17	,	,	PUNCT
cana-6244	450	18	breathers	breather	NOUN
cana-6244	450	19	,	,	PUNCT
cana-6244	450	20	and	and	CCONJ
cana-6244	450	21	solitons	soliton	NOUN
cana-6244	450	22	.	.	PUNCT
cana-6244	451	1	we	we	PRON
cana-6244	451	2	successfully	successfully	ADV
cana-6244	451	3	used	use	VERB
cana-6244	451	4	the	the	DET
cana-6244	451	5	algorithm	algorithm	NOUN
cana-6244	451	6	to	to	PART
cana-6244	451	7	obtain	obtain	VERB
cana-6244	451	8	the	the	DET
cana-6244	451	9	hirota	hirota	NOUN
cana-6244	451	10	bilinear	bilinear	NOUN
cana-6244	451	11	form	form	NOUN
cana-6244	451	12	for	for	ADP
cana-6244	451	13	several	several	ADJ
cana-6244	451	14	well	well	ADV
cana-6244	451	15	-	-	PUNCT
cana-6244	451	16	known	know	VERB
cana-6244	451	17	equations	equation	NOUN
cana-6244	451	18	such	such	ADJ
cana-6244	451	19	as	as	ADP
cana-6244	451	20	the	the	DET
cana-6244	451	21	kdv	kdv	NOUN
cana-6244	451	22	,	,	PUNCT
cana-6244	451	23	boussinesq	boussinesq	NOUN
cana-6244	451	24	,	,	PUNCT
cana-6244	451	25	kp	kp	NOUN
cana-6244	451	26	,	,	PUNCT
cana-6244	451	27	and	and	CCONJ
cana-6244	451	28	blmp	blmp	ADJ
cana-6244	451	29	equations	equation	NOUN
cana-6244	451	30	and	and	CCONJ
cana-6244	451	31	other	other	ADJ
cana-6244	451	32	nonlinear	nonlinear	ADJ
cana-6244	451	33	equations	equation	NOUN
cana-6244	451	34	.	.	PUNCT
cana-6244	452	1	the	the	DET
cana-6244	452	2	resulting	result	VERB
cana-6244	452	3	bilinear	bilinear	NOUN
cana-6244	452	4	forms	form	NOUN
cana-6244	452	5	serve	serve	VERB
cana-6244	452	6	as	as	ADP
cana-6244	452	7	a	a	DET
cana-6244	452	8	basis	basis	NOUN
cana-6244	452	9	for	for	ADP
cana-6244	452	10	additional	additional	ADJ
cana-6244	452	11	research	research	NOUN
cana-6244	452	12	,	,	PUNCT
cana-6244	452	13	such	such	ADJ
cana-6244	452	14	as	as	ADP
cana-6244	452	15	the	the	DET
cana-6244	452	16	development	development	NOUN
cana-6244	452	17	of	of	ADP
cana-6244	452	18	multi	multi	ADJ
cana-6244	452	19	-	-	ADJ
cana-6244	452	20	soliton	soliton	ADJ
cana-6244	452	21	solutions	solution	NOUN
cana-6244	452	22	and	and	CCONJ
cana-6244	452	23	the	the	DET
cana-6244	452	24	investigation	investigation	NOUN
cana-6244	452	25	of	of	ADP
cana-6244	452	26	interaction	interaction	NOUN
cana-6244	452	27	phenomena	phenomenon	NOUN
cana-6244	452	28	.	.	PUNCT
cana-6244	453	1	the	the	DET
cana-6244	453	2	algorithm	algorithm	NOUN
cana-6244	453	3	can	can	AUX
cana-6244	453	4	be	be	AUX
cana-6244	453	5	further	far	ADV
cana-6244	453	6	streamlined	streamline	VERB
cana-6244	453	7	and	and	CCONJ
cana-6244	453	8	made	make	VERB
cana-6244	453	9	accessible	accessible	ADJ
cana-6244	453	10	for	for	ADP
cana-6244	453	11	more	more	ADJ
cana-6244	453	12	complex	complex	ADJ
cana-6244	453	13	systems	system	NOUN
cana-6244	453	14	by	by	ADP
cana-6244	453	15	utilizing	utilize	VERB
cana-6244	453	16	symbolic	symbolic	ADJ
cana-6244	453	17	computation	computation	NOUN
cana-6244	453	18	tools	tool	NOUN
cana-6244	453	19	such	such	ADJ
cana-6244	453	20	as	as	ADP
cana-6244	453	21	maple	maple	NOUN
cana-6244	453	22	or	or	CCONJ
cana-6244	453	23	matlab	matlab	PROPN
cana-6244	453	24	.	.	PUNCT
cana-6244	454	1	declarations	declaration	NOUN
cana-6244	454	2	competing	compete	VERB
cana-6244	454	3	interests	interest	NOUN
cana-6244	454	4	there	there	PRON
cana-6244	454	5	is	be	VERB
cana-6244	454	6	no	no	DET
cana-6244	454	7	conflict	conflict	NOUN
cana-6244	454	8	of	of	ADP
cana-6244	454	9	interest	interest	NOUN
cana-6244	454	10	,	,	PUNCT
cana-6244	454	11	according	accord	VERB
cana-6244	454	12	to	to	ADP
cana-6244	454	13	the	the	DET
cana-6244	454	14	authors	author	NOUN
cana-6244	454	15	.	.	PUNCT
cana-6244	455	1	authors	author	NOUN
cana-6244	455	2	’	'	PUNCT
cana-6244	455	3	contributions	contribution	NOUN
cana-6244	455	4	each	each	DET
cana-6244	455	5	author	author	NOUN
cana-6244	455	6	made	make	VERB
cana-6244	455	7	an	an	DET
cana-6244	455	8	equal	equal	ADJ
cana-6244	455	9	contribution	contribution	NOUN
cana-6244	455	10	to	to	ADP
cana-6244	455	11	the	the	DET
cana-6244	455	12	final	final	ADJ
cana-6244	455	13	draft	draft	NOUN
cana-6244	455	14	of	of	ADP
cana-6244	455	15	the	the	DET
cana-6244	455	16	work	work	NOUN
cana-6244	455	17	.	.	PUNCT
cana-6244	456	1	the	the	DET
cana-6244	456	2	authors	author	NOUN
cana-6244	456	3	would	would	AUX
cana-6244	456	4	have	have	AUX
cana-6244	456	5	consented	consent	VERB
cana-6244	456	6	and	and	CCONJ
cana-6244	456	7	approved	approve	VERB
cana-6244	456	8	the	the	DET
cana-6244	456	9	final	final	ADJ
cana-6244	456	10	work	work	NOUN
cana-6244	456	11	.	.	PUNCT
cana-6244	457	1	data	datum	NOUN
cana-6244	457	2	availability	availability	NOUN
cana-6244	457	3	statement	statement	NOUN
cana-6244	457	4	not	not	PART
cana-6244	457	5	applicable	applicable	ADJ
cana-6244	457	6	to	to	ADP
cana-6244	457	7	this	this	DET
cana-6244	457	8	research	research	NOUN
cana-6244	457	9	as	as	SCONJ
cana-6244	457	10	no	no	DET
cana-6244	457	11	data	datum	NOUN
cana-6244	457	12	were	be	AUX
cana-6244	457	13	analyzed	analyze	VERB
cana-6244	457	14	and	and	CCONJ
cana-6244	457	15	created	create	VERB
cana-6244	457	16	in	in	ADP
cana-6244	457	17	this	this	DET
cana-6244	457	18	work	work	NOUN
cana-6244	457	19	.	.	PUNCT
cana-6244	458	1	references	reference	NOUN
cana-6244	458	2	[	[	X
cana-6244	458	3	1	1	X
cana-6244	458	4	]	]	PUNCT
cana-6244	458	5	s.	s.	PROPN
cana-6244	458	6	kumar	kumar	PROPN
cana-6244	458	7	and	and	CCONJ
cana-6244	458	8	b.	b.	PROPN
cana-6244	458	9	mohan	mohan	PROPN
cana-6244	458	10	,	,	PUNCT
cana-6244	458	11	“	"	PUNCT
cana-6244	458	12	a	a	DET
cana-6244	458	13	novel	novel	ADJ
cana-6244	458	14	and	and	CCONJ
cana-6244	458	15	efficient	efficient	ADJ
cana-6244	458	16	method	method	NOUN
cana-6244	458	17	for	for	ADP
cana-6244	458	18	obtaining	obtain	VERB
cana-6244	458	19	hirota	hirota	PROPN
cana-6244	458	20	’s	’s	PART
cana-6244	458	21	bilinear	bilinear	NOUN
cana-6244	458	22	form	form	NOUN
cana-6244	458	23	for	for	ADP
cana-6244	458	24	the	the	DET
cana-6244	458	25	nonlinear	nonlinear	ADJ
cana-6244	458	26	evolution	evolution	NOUN
cana-6244	458	27	equation	equation	NOUN
cana-6244	458	28	in	in	ADP
cana-6244	458	29	(	(	PUNCT
cana-6244	458	30	n+	n+	NOUN
cana-6244	458	31	1	1	NUM
cana-6244	458	32	)	)	PUNCT
cana-6244	458	33	dimensions	dimension	NOUN
cana-6244	458	34	,	,	PUNCT
cana-6244	458	35	”	"	PUNCT
cana-6244	458	36	partial	partial	ADJ
cana-6244	458	37	differential	differential	NOUN
cana-6244	458	38	equations	equation	NOUN
cana-6244	458	39	in	in	ADP
cana-6244	458	40	applied	applied	ADJ
cana-6244	458	41	mathematics	mathematic	NOUN
cana-6244	458	42	,	,	PUNCT
cana-6244	458	43	vol	vol	NOUN
cana-6244	458	44	.	.	PROPN
cana-6244	458	45	5	5	NUM
cana-6244	458	46	,	,	PUNCT
cana-6244	458	47	p.	p.	NOUN
cana-6244	458	48	100274	100274	NUM
cana-6244	458	49	,	,	PUNCT
cana-6244	458	50	2022	2022	NUM
cana-6244	458	51	.	.	PUNCT
cana-6244	459	1	[	[	X
cana-6244	459	2	2	2	NUM
cana-6244	459	3	]	]	PUNCT
cana-6244	459	4	a.	a.	NOUN
cana-6244	459	5	parihar	parihar	PROPN
cana-6244	459	6	and	and	CCONJ
cana-6244	459	7	d.	d.	PROPN
cana-6244	459	8	malik	malik	PROPN
cana-6244	459	9	,	,	PUNCT
cana-6244	459	10	“	"	PUNCT
cana-6244	459	11	application	application	NOUN
cana-6244	459	12	of	of	ADP
cana-6244	459	13	hirota	hirota	PROPN
cana-6244	459	14	’s	’s	PART
cana-6244	459	15	direct	direct	ADJ
cana-6244	459	16	method	method	NOUN
cana-6244	459	17	to	to	PART
cana-6244	459	18	nonlinear	nonlinear	VERB
cana-6244	459	19	partial	partial	ADJ
cana-6244	459	20	differential	differential	NOUN
cana-6244	459	21	equations	equation	NOUN
cana-6244	459	22	:	:	PUNCT
cana-6244	459	23	bilinear	bilinear	NOUN
cana-6244	459	24	form	form	NOUN
cana-6244	459	25	and	and	CCONJ
cana-6244	459	26	soliton	soliton	NOUN
cana-6244	459	27	solutions	solution	NOUN
cana-6244	459	28	,	,	PUNCT
cana-6244	459	29	”	"	PUNCT
cana-6244	459	30	2022	2022	NUM
cana-6244	459	31	.	.	PUNCT
cana-6244	460	1	[	[	X
cana-6244	460	2	3	3	X
cana-6244	460	3	]	]	X
cana-6244	460	4	r.	r.	PROPN
cana-6244	460	5	hirota	hirota	PROPN
cana-6244	460	6	,	,	PUNCT
cana-6244	460	7	“	"	PUNCT
cana-6244	460	8	exact	exact	ADJ
cana-6244	460	9	solution	solution	NOUN
cana-6244	460	10	of	of	ADP
cana-6244	460	11	the	the	DET
cana-6244	460	12	korteweg	korteweg	NOUN
cana-6244	460	13	—	—	PUNCT
cana-6244	460	14	de	de	PROPN
cana-6244	460	15	vries	vries	NOUN
cana-6244	460	16	equation	equation	NOUN
cana-6244	460	17	for	for	ADP
cana-6244	460	18	multiple	multiple	ADJ
cana-6244	460	19	collisions	collision	NOUN
cana-6244	460	20	of	of	ADP
cana-6244	460	21	solitons	soliton	NOUN
cana-6244	460	22	,	,	PUNCT
cana-6244	460	23	”	"	PUNCT
cana-6244	460	24	physical	physical	ADJ
cana-6244	460	25	review	review	NOUN
cana-6244	460	26	letters	letter	NOUN
cana-6244	460	27	,	,	PUNCT
cana-6244	460	28	vol	vol	NOUN
cana-6244	460	29	.	.	PROPN
cana-6244	460	30	27	27	NUM
cana-6244	460	31	,	,	PUNCT
cana-6244	460	32	no	no	INTJ
cana-6244	460	33	.	.	NOUN
cana-6244	460	34	18	18	NUM
cana-6244	460	35	,	,	PUNCT
cana-6244	460	36	p.	p.	NOUN
cana-6244	460	37	1192	1192	NUM
cana-6244	460	38	,	,	PUNCT
cana-6244	460	39	1971	1971	NUM
cana-6244	460	40	.	.	PUNCT
cana-6244	461	1	[	[	X
cana-6244	461	2	4	4	NUM
cana-6244	461	3	]	]	X
cana-6244	461	4	r.	r.	PROPN
cana-6244	461	5	hirota	hirota	PROPN
cana-6244	461	6	,	,	PUNCT
cana-6244	461	7	the	the	DET
cana-6244	461	8	direct	direct	ADJ
cana-6244	461	9	method	method	NOUN
cana-6244	461	10	in	in	ADP
cana-6244	461	11	soliton	soliton	NOUN
cana-6244	461	12	theory	theory	NOUN
cana-6244	461	13	.	.	PUNCT
cana-6244	462	1	no	no	INTJ
cana-6244	462	2	.	.	NOUN
cana-6244	462	3	155	155	NUM
cana-6244	462	4	,	,	PUNCT
cana-6244	462	5	cambridge	cambridge	PROPN
cana-6244	462	6	university	university	PROPN
cana-6244	462	7	press	press	NOUN
cana-6244	462	8	,	,	PUNCT
cana-6244	462	9	2004	2004	NUM
cana-6244	462	10	.	.	PUNCT
cana-6244	463	1	[	[	X
cana-6244	463	2	5	5	NUM
cana-6244	463	3	]	]	PUNCT
cana-6244	463	4	w.-x	w.-x	NOUN
cana-6244	463	5	.	.	PUNCT
cana-6244	464	1	ma	ma	PROPN
cana-6244	464	2	,	,	PUNCT
cana-6244	464	3	“	"	PUNCT
cana-6244	464	4	n	n	CCONJ
cana-6244	464	5	-	-	PUNCT
cana-6244	464	6	soliton	soliton	NOUN
cana-6244	464	7	solutions	solution	NOUN
cana-6244	464	8	and	and	CCONJ
cana-6244	464	9	the	the	DET
cana-6244	464	10	hirota	hirota	NOUN
cana-6244	464	11	conditions	condition	NOUN
cana-6244	464	12	in	in	ADP
cana-6244	464	13	(	(	PUNCT
cana-6244	464	14	2	2	NUM
cana-6244	464	15	+	+	NUM
cana-6244	464	16	1)-dimensions	1)-dimensions	NUM
cana-6244	464	17	,	,	PUNCT
cana-6244	464	18	”	"	PUNCT
cana-6244	464	19	optical	optical	ADJ
cana-6244	464	20	and	and	CCONJ
cana-6244	464	21	quantum	quantum	NOUN
cana-6244	464	22	electronics	electronic	NOUN
cana-6244	464	23	,	,	PUNCT
cana-6244	464	24	vol	vol	NOUN
cana-6244	464	25	.	.	PROPN
cana-6244	464	26	52	52	NUM
cana-6244	464	27	,	,	PUNCT
cana-6244	464	28	no	no	INTJ
cana-6244	464	29	.	.	NOUN
cana-6244	464	30	12	12	NUM
cana-6244	464	31	,	,	PUNCT
cana-6244	464	32	p.	p.	NOUN
cana-6244	464	33	511	511	NUM
cana-6244	464	34	,	,	PUNCT
cana-6244	464	35	2020	2020	NUM
cana-6244	464	36	.	.	PUNCT
cana-6244	465	1	[	[	X
cana-6244	465	2	6	6	NUM
cana-6244	465	3	]	]	PUNCT
cana-6244	465	4	a.	a.	NOUN
cana-6244	465	5	c.	c.	PROPN
cana-6244	465	6	newell	newell	PROPN
cana-6244	465	7	,	,	PUNCT
cana-6244	465	8	solitons	soliton	NOUN
cana-6244	465	9	in	in	ADP
cana-6244	465	10	mathematics	mathematic	NOUN
cana-6244	465	11	and	and	CCONJ
cana-6244	465	12	physics	physics	PROPN
cana-6244	465	13	.	.	PUNCT
cana-6244	466	1	siam	siam	PROPN
cana-6244	466	2	,	,	PUNCT
cana-6244	466	3	1985	1985	NUM
cana-6244	466	4	.	.	PUNCT
cana-6244	467	1	[	[	X
cana-6244	467	2	7	7	X
cana-6244	467	3	]	]	PUNCT
cana-6244	467	4	z.	z.	PROPN
cana-6244	467	5	du	du	PROPN
cana-6244	467	6	,	,	PUNCT
cana-6244	467	7	b.	b.	PROPN
cana-6244	467	8	tian	tian	PROPN
cana-6244	467	9	,	,	PUNCT
cana-6244	467	10	x.-y	x.-y	PROPN
cana-6244	467	11	.	.	PUNCT
cana-6244	468	1	xie	xie	PROPN
cana-6244	468	2	,	,	PUNCT
cana-6244	468	3	j.	j.	PROPN
cana-6244	468	4	chai	chai	PROPN
cana-6244	468	5	,	,	PUNCT
cana-6244	468	6	and	and	CCONJ
cana-6244	468	7	x.-y	x.-y	NOUN
cana-6244	468	8	.	.	PUNCT
cana-6244	469	1	wu	wu	PROPN
cana-6244	469	2	,	,	PUNCT
cana-6244	469	3	“	"	PUNCT
cana-6244	469	4	bäcklund	bäcklund	NOUN
cana-6244	469	5	transformation	transformation	NOUN
cana-6244	469	6	and	and	CCONJ
cana-6244	469	7	soliton	soliton	NOUN
cana-6244	469	8	solutions	solution	NOUN
cana-6244	469	9	in	in	ADP
cana-6244	469	10	terms	term	NOUN
cana-6244	469	11	of	of	ADP
cana-6244	469	12	the	the	DET
cana-6244	469	13	wronskian	wronskian	NOUN
cana-6244	469	14	for	for	ADP
cana-6244	469	15	the	the	DET
cana-6244	469	16	kadomtsev	kadomtsev	ADJ
cana-6244	469	17	–	–	PUNCT
cana-6244	469	18	petviashvili	petviashvili	NOUN
cana-6244	469	19	-	-	PUNCT
cana-6244	469	20	based	base	VERB
cana-6244	469	21	system	system	NOUN
cana-6244	469	22	in	in	ADP
cana-6244	469	23	fluid	fluid	ADJ
cana-6244	469	24	dynamics	dynamic	NOUN
cana-6244	469	25	,	,	PUNCT
cana-6244	469	26	”	"	PUNCT
cana-6244	469	27	pramana	pramana	PROPN
cana-6244	469	28	,	,	PUNCT
cana-6244	469	29	vol	vol	NOUN
cana-6244	469	30	.	.	PROPN
cana-6244	470	1	90	90	NUM
cana-6244	470	2	,	,	PUNCT
cana-6244	470	3	pp	pp	ADJ
cana-6244	470	4	.	.	PUNCT
cana-6244	471	1	1–6	1–6	NUM
cana-6244	471	2	,	,	PUNCT
cana-6244	471	3	2018	2018	NUM
cana-6244	471	4	.	.	PUNCT
cana-6244	472	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	472	2	1233	1233	NUM
cana-6244	472	3	communications	communication	NOUN
cana-6244	472	4	on	on	ADP
cana-6244	472	5	applied	apply	VERB
cana-6244	472	6	nonlinear	nonlinear	ADJ
cana-6244	472	7	analysis	analysis	NOUN
cana-6244	472	8	issn	issn	NOUN
cana-6244	472	9	:	:	PUNCT
cana-6244	472	10	1074	1074	NUM
cana-6244	472	11	-	-	PUNCT
cana-6244	472	12	133x	133x	NUM
cana-6244	472	13	vol	vol	NOUN
cana-6244	472	14	31	31	NUM
cana-6244	472	15	no	no	NOUN
cana-6244	472	16	.	.	PUNCT
cana-6244	473	1	8s	8s	PROPN
cana-6244	473	2	(	(	PUNCT
cana-6244	473	3	2024	2024	NUM
cana-6244	473	4	)	)	PUNCT
cana-6244	474	1	[	[	X
cana-6244	474	2	8	8	NUM
cana-6244	474	3	]	]	SYM
cana-6244	474	4	x.-w	x.-w	PROPN
cana-6244	474	5	.	.	PUNCT
cana-6244	474	6	yan	yan	PROPN
cana-6244	474	7	,	,	PUNCT
cana-6244	474	8	s.-f	s.-f	PROPN
cana-6244	474	9	.	.	PUNCT
cana-6244	475	1	tian	tian	ADJ
cana-6244	475	2	,	,	PUNCT
cana-6244	475	3	m.-j	m.-j	PROPN
cana-6244	475	4	.	.	PUNCT
cana-6244	475	5	dong	dong	PROPN
cana-6244	475	6	,	,	PUNCT
cana-6244	475	7	and	and	CCONJ
cana-6244	475	8	l.	l.	PROPN
cana-6244	475	9	zou	zou	PROPN
cana-6244	475	10	,	,	PUNCT
cana-6244	475	11	“	"	PUNCT
cana-6244	475	12	bäcklund	bäcklund	NOUN
cana-6244	475	13	transformation	transformation	NOUN
cana-6244	475	14	,	,	PUNCT
cana-6244	475	15	rogue	rogue	NOUN
cana-6244	475	16	wave	wave	NOUN
cana-6244	475	17	solutions	solution	NOUN
cana-6244	475	18	and	and	CCONJ
cana-6244	475	19	interaction	interaction	NOUN
cana-6244	475	20	phenomena	phenomenon	NOUN
cana-6244	475	21	for	for	ADP
cana-6244	475	22	a	a	DET
cana-6244	475	23	(	(	PUNCT
cana-6244	475	24	3	3	NUM
cana-6244	475	25	+	+	NUM
cana-6244	475	26	1)(3	1)(3	NUM
cana-6244	475	27	+	+	SYM
cana-6244	475	28	1)-dimensional	1)-dimensional	PROPN
cana-6244	475	29	b	b	X
cana-6244	475	30	-	-	PUNCT
cana-6244	475	31	type	type	NOUN
cana-6244	475	32	kadomtsev	kadomtsev	VERB
cana-6244	475	33	–	–	PUNCT
cana-6244	475	34	petviashvili	petviashvili	ADJ
cana-6244	475	35	–	–	PUNCT
cana-6244	475	36	boussinesq	boussinesq	NOUN
cana-6244	475	37	equation	equation	NOUN
cana-6244	475	38	,	,	PUNCT
cana-6244	475	39	”	"	PUNCT
cana-6244	475	40	nonlinear	nonlinear	ADJ
cana-6244	475	41	dynamics	dynamic	NOUN
cana-6244	475	42	,	,	PUNCT
cana-6244	475	43	vol	vol	NOUN
cana-6244	475	44	.	.	PROPN
cana-6244	476	1	92	92	NUM
cana-6244	476	2	,	,	PUNCT
cana-6244	476	3	pp	pp	ADJ
cana-6244	476	4	.	.	PUNCT
cana-6244	477	1	709–720	709–720	NUM
cana-6244	477	2	,	,	PUNCT
cana-6244	477	3	2018	2018	NUM
cana-6244	477	4	.	.	PUNCT
cana-6244	478	1	[	[	X
cana-6244	478	2	9	9	NUM
cana-6244	478	3	]	]	PUNCT
cana-6244	478	4	x.	x.	PROPN
cana-6244	478	5	guan	guan	PROPN
cana-6244	478	6	,	,	PUNCT
cana-6244	478	7	w.	w.	PROPN
cana-6244	478	8	liu	liu	PROPN
cana-6244	478	9	,	,	PUNCT
cana-6244	478	10	q.	q.	PROPN
cana-6244	478	11	zhou	zhou	PROPN
cana-6244	478	12	,	,	PUNCT
cana-6244	478	13	and	and	CCONJ
cana-6244	478	14	a.	a.	PROPN
cana-6244	478	15	biswas	biswas	PROPN
cana-6244	478	16	,	,	PUNCT
cana-6244	478	17	“	"	PUNCT
cana-6244	478	18	darboux	darboux	VERB
cana-6244	478	19	transformation	transformation	NOUN
cana-6244	478	20	and	and	CCONJ
cana-6244	478	21	analytic	analytic	ADJ
cana-6244	478	22	solutions	solution	NOUN
cana-6244	478	23	for	for	ADP
cana-6244	478	24	a	a	DET
cana-6244	478	25	generalized	generalized	ADJ
cana-6244	478	26	super	super	ADJ
cana-6244	478	27	-	-	ADJ
cana-6244	478	28	nls	nls	ADJ
cana-6244	478	29	-	-	PUNCT
cana-6244	478	30	mkdv	mkdv	NOUN
cana-6244	478	31	equation	equation	NOUN
cana-6244	478	32	,	,	PUNCT
cana-6244	478	33	”	"	PUNCT
cana-6244	478	34	nonlinear	nonlinear	ADJ
cana-6244	478	35	dynamics	dynamic	NOUN
cana-6244	478	36	,	,	PUNCT
cana-6244	478	37	vol	vol	NOUN
cana-6244	478	38	.	.	PROPN
cana-6244	478	39	98	98	NUM
cana-6244	478	40	,	,	PUNCT
cana-6244	478	41	no	no	INTJ
cana-6244	478	42	.	.	NOUN
cana-6244	478	43	2	2	NUM
cana-6244	478	44	,	,	PUNCT
cana-6244	478	45	pp	pp	ADJ
cana-6244	478	46	.	.	PUNCT
cana-6244	478	47	1491–1500	1491–1500	NUM
cana-6244	478	48	,	,	PUNCT
cana-6244	478	49	2019	2019	NUM
cana-6244	478	50	.	.	PUNCT
cana-6244	479	1	[	[	X
cana-6244	479	2	10	10	NUM
cana-6244	479	3	]	]	PUNCT
cana-6244	479	4	x.	x.	NOUN
cana-6244	479	5	wang	wang	PROPN
cana-6244	479	6	and	and	CCONJ
cana-6244	479	7	j.	j.	PROPN
cana-6244	479	8	wei	wei	PROPN
cana-6244	479	9	,	,	PUNCT
cana-6244	479	10	“	"	PUNCT
cana-6244	479	11	three	three	NUM
cana-6244	479	12	types	type	NOUN
cana-6244	479	13	of	of	ADP
cana-6244	479	14	darboux	darboux	ADJ
cana-6244	479	15	transformation	transformation	NOUN
cana-6244	479	16	and	and	CCONJ
cana-6244	479	17	general	general	ADJ
cana-6244	479	18	soliton	soliton	NOUN
cana-6244	479	19	solutions	solution	NOUN
cana-6244	479	20	for	for	ADP
cana-6244	479	21	the	the	DET
cana-6244	479	22	spaceshifted	spaceshifte	VERB
cana-6244	479	23	nonlocal	nonlocal	ADJ
cana-6244	479	24	pt	pt	X
cana-6244	479	25	symmetric	symmetric	ADJ
cana-6244	479	26	nonlinear	nonlinear	PROPN
cana-6244	479	27	schrödinger	schrödinger	NOUN
cana-6244	479	28	equation	equation	NOUN
cana-6244	479	29	,	,	PUNCT
cana-6244	479	30	”	"	PUNCT
cana-6244	479	31	applied	apply	VERB
cana-6244	479	32	mathematics	mathematic	NOUN
cana-6244	479	33	letters	letter	NOUN
cana-6244	479	34	,	,	PUNCT
cana-6244	479	35	vol	vol	NOUN
cana-6244	479	36	.	.	PROPN
cana-6244	479	37	130	130	NUM
cana-6244	479	38	,	,	PUNCT
cana-6244	479	39	p.	p.	NOUN
cana-6244	479	40	107998	107998	NUM
cana-6244	479	41	,	,	PUNCT
cana-6244	479	42	2022	2022	NUM
cana-6244	479	43	.	.	PUNCT
cana-6244	480	1	[	[	X
cana-6244	480	2	11	11	NUM
cana-6244	480	3	]	]	X
cana-6244	480	4	y.	y.	PROPN
cana-6244	480	5	shen	shen	PROPN
cana-6244	480	6	,	,	PUNCT
cana-6244	480	7	b.	b.	PROPN
cana-6244	480	8	tian	tian	PROPN
cana-6244	480	9	,	,	PUNCT
cana-6244	480	10	t.-y	t.-y	NOUN
cana-6244	480	11	.	.	PUNCT
cana-6244	481	1	zhou	zhou	PROPN
cana-6244	481	2	,	,	PUNCT
cana-6244	481	3	and	and	CCONJ
cana-6244	481	4	c.-d	c.-d	PROPN
cana-6244	481	5	.	.	PUNCT
cana-6244	482	1	cheng	cheng	PROPN
cana-6244	482	2	,	,	PUNCT
cana-6244	482	3	“	"	PUNCT
cana-6244	482	4	localized	localized	ADJ
cana-6244	482	5	waves	wave	NOUN
cana-6244	482	6	of	of	ADP
cana-6244	482	7	the	the	DET
cana-6244	482	8	higher	high	ADJ
cana-6244	482	9	-	-	PUNCT
cana-6244	482	10	order	order	NOUN
cana-6244	482	11	nonlinear	nonlinear	ADJ
cana-6244	482	12	schrödinger	schrödinger	NOUN
cana-6244	482	13	-	-	PUNCT
cana-6244	482	14	maxwell	maxwell	NOUN
cana-6244	482	15	-	-	PUNCT
cana-6244	482	16	bloch	bloch	PROPN
cana-6244	482	17	system	system	NOUN
cana-6244	482	18	with	with	ADP
cana-6244	482	19	the	the	DET
cana-6244	482	20	sextic	sextic	ADJ
cana-6244	482	21	terms	term	NOUN
cana-6244	482	22	in	in	ADP
cana-6244	482	23	an	an	DET
cana-6244	482	24	erbium	erbium	NOUN
cana-6244	482	25	-	-	PUNCT
cana-6244	482	26	doped	dope	VERB
cana-6244	482	27	fiber	fiber	NOUN
cana-6244	482	28	,	,	PUNCT
cana-6244	482	29	”	"	PUNCT
cana-6244	482	30	nonlinear	nonlinear	ADJ
cana-6244	482	31	dynamics	dynamic	NOUN
cana-6244	482	32	,	,	PUNCT
cana-6244	482	33	vol	vol	NOUN
cana-6244	482	34	.	.	PROPN
cana-6244	482	35	112	112	NUM
cana-6244	482	36	,	,	PUNCT
cana-6244	482	37	no	no	INTJ
cana-6244	482	38	.	.	NOUN
cana-6244	482	39	2	2	NUM
cana-6244	482	40	,	,	PUNCT
cana-6244	482	41	pp	pp	ADJ
cana-6244	482	42	.	.	PUNCT
cana-6244	482	43	1275–1290	1275–1290	NUM
cana-6244	482	44	,	,	PUNCT
cana-6244	482	45	2024	2024	NUM
cana-6244	482	46	.	.	PUNCT
cana-6244	483	1	[	[	X
cana-6244	483	2	12	12	NUM
cana-6244	483	3	]	]	X
cana-6244	483	4	y.	y.	PROPN
cana-6244	483	5	shen	shen	PROPN
cana-6244	483	6	,	,	PUNCT
cana-6244	483	7	b.	b.	PROPN
cana-6244	483	8	tian	tian	PROPN
cana-6244	483	9	,	,	PUNCT
cana-6244	483	10	t.-y	t.-y	NOUN
cana-6244	483	11	.	.	PUNCT
cana-6244	484	1	zhou	zhou	PROPN
cana-6244	484	2	,	,	PUNCT
cana-6244	484	3	and	and	CCONJ
cana-6244	484	4	c.-d	c.-d	PROPN
cana-6244	484	5	.	.	PUNCT
cana-6244	485	1	cheng	cheng	PROPN
cana-6244	485	2	,	,	PUNCT
cana-6244	485	3	“	"	PUNCT
cana-6244	485	4	complex	complex	ADJ
cana-6244	485	5	kraenkel	kraenkel	NOUN
cana-6244	485	6	-	-	PUNCT
cana-6244	485	7	manna	manna	ADJ
cana-6244	485	8	-	-	PUNCT
cana-6244	485	9	merle	merle	NOUN
cana-6244	485	10	system	system	NOUN
cana-6244	485	11	in	in	ADP
cana-6244	485	12	a	a	DET
cana-6244	485	13	ferrite	ferrite	NOUN
cana-6244	485	14	:	:	PUNCT
cana-6244	485	15	nfold	nfold	NOUN
cana-6244	485	16	darboux	darboux	VERB
cana-6244	485	17	transformation	transformation	NOUN
cana-6244	485	18	,	,	PUNCT
cana-6244	485	19	generalized	generalize	VERB
cana-6244	485	20	darboux	darboux	VERB
cana-6244	485	21	transformation	transformation	NOUN
cana-6244	485	22	and	and	CCONJ
cana-6244	485	23	solitons	soliton	NOUN
cana-6244	485	24	,	,	PUNCT
cana-6244	485	25	”	"	PUNCT
cana-6244	485	26	mathematical	mathematical	ADJ
cana-6244	485	27	modelling	modelling	NOUN
cana-6244	485	28	of	of	ADP
cana-6244	485	29	natural	natural	ADJ
cana-6244	485	30	phenomena	phenomenon	NOUN
cana-6244	485	31	,	,	PUNCT
cana-6244	485	32	vol	vol	NOUN
cana-6244	485	33	.	.	PROPN
cana-6244	485	34	18	18	NUM
cana-6244	485	35	,	,	PUNCT
cana-6244	485	36	p.	p.	NOUN
cana-6244	485	37	30	30	NUM
cana-6244	485	38	,	,	PUNCT
cana-6244	485	39	2023	2023	NUM
cana-6244	485	40	.	.	PUNCT
cana-6244	486	1	[	[	X
cana-6244	486	2	13	13	NUM
cana-6244	486	3	]	]	X
cana-6244	486	4	i.	i.	PROPN
cana-6244	486	5	hamid	hamid	PROPN
cana-6244	486	6	and	and	CCONJ
cana-6244	486	7	s.	s.	PROPN
cana-6244	486	8	kumar	kumar	PROPN
cana-6244	486	9	,	,	PUNCT
cana-6244	486	10	“	"	PUNCT
cana-6244	486	11	symbolic	symbolic	ADJ
cana-6244	486	12	computation	computation	NOUN
cana-6244	486	13	and	and	CCONJ
cana-6244	486	14	novel	novel	ADJ
cana-6244	486	15	solitons	soliton	NOUN
cana-6244	486	16	,	,	PUNCT
cana-6244	486	17	traveling	travel	VERB
cana-6244	486	18	waves	wave	NOUN
cana-6244	486	19	and	and	CCONJ
cana-6244	486	20	soliton	soliton	NOUN
cana-6244	486	21	-	-	PUNCT
cana-6244	486	22	like	like	ADJ
cana-6244	486	23	solutions	solution	NOUN
cana-6244	486	24	for	for	ADP
cana-6244	486	25	the	the	DET
cana-6244	486	26	highly	highly	ADV
cana-6244	486	27	nonlinear	nonlinear	ADJ
cana-6244	486	28	(	(	PUNCT
cana-6244	486	29	2	2	NUM
cana-6244	486	30	+	+	NUM
cana-6244	486	31	1)-dimensional	1)-dimensional	ADJ
cana-6244	486	32	schrödinger	schrödinger	NOUN
cana-6244	486	33	equation	equation	NOUN
cana-6244	486	34	in	in	ADP
cana-6244	486	35	the	the	DET
cana-6244	486	36	anomalous	anomalous	ADJ
cana-6244	486	37	dispersion	dispersion	NOUN
cana-6244	486	38	regime	regime	NOUN
cana-6244	486	39	via	via	ADP
cana-6244	486	40	newly	newly	ADV
cana-6244	486	41	proposed	propose	VERB
cana-6244	486	42	modified	modify	VERB
cana-6244	486	43	approach	approach	NOUN
cana-6244	486	44	,	,	PUNCT
cana-6244	486	45	”	"	PUNCT
cana-6244	486	46	optical	optical	ADJ
cana-6244	486	47	and	and	CCONJ
cana-6244	486	48	quantum	quantum	NOUN
cana-6244	486	49	electronics	electronic	NOUN
cana-6244	486	50	,	,	PUNCT
cana-6244	486	51	vol	vol	NOUN
cana-6244	486	52	.	.	PROPN
cana-6244	487	1	55	55	NUM
cana-6244	487	2	,	,	PUNCT
cana-6244	487	3	no	no	INTJ
cana-6244	487	4	.	.	NOUN
cana-6244	487	5	9	9	NUM
cana-6244	487	6	,	,	PUNCT
cana-6244	487	7	p.	p.	NOUN
cana-6244	487	8	755	755	NUM
cana-6244	487	9	,	,	PUNCT
cana-6244	487	10	2023	2023	NUM
cana-6244	487	11	.	.	PUNCT
cana-6244	488	1	[	[	X
cana-6244	488	2	14	14	NUM
cana-6244	488	3	]	]	X
cana-6244	488	4	s.	s.	PROPN
cana-6244	488	5	kumar	kumar	PROPN
cana-6244	488	6	,	,	PUNCT
cana-6244	488	7	w.-x	w.-x	PROPN
cana-6244	488	8	.	.	PUNCT
cana-6244	489	1	ma	ma	PROPN
cana-6244	489	2	,	,	PUNCT
cana-6244	489	3	s.	s.	PROPN
cana-6244	489	4	k.	k.	PROPN
cana-6244	489	5	dhiman	dhiman	PROPN
cana-6244	489	6	,	,	PUNCT
cana-6244	489	7	and	and	CCONJ
cana-6244	489	8	a.	a.	PROPN
cana-6244	489	9	chauhan	chauhan	PROPN
cana-6244	489	10	,	,	PUNCT
cana-6244	489	11	“	"	PUNCT
cana-6244	489	12	lie	lie	NOUN
cana-6244	489	13	group	group	NOUN
cana-6244	489	14	analysis	analysis	NOUN
cana-6244	489	15	with	with	ADP
cana-6244	489	16	the	the	DET
cana-6244	489	17	optimal	optimal	ADJ
cana-6244	489	18	system	system	NOUN
cana-6244	489	19	,	,	PUNCT
cana-6244	489	20	generalized	generalize	VERB
cana-6244	489	21	invariant	invariant	ADJ
cana-6244	489	22	solutions	solution	NOUN
cana-6244	489	23	,	,	PUNCT
cana-6244	489	24	and	and	CCONJ
cana-6244	489	25	an	an	DET
cana-6244	489	26	enormous	enormous	ADJ
cana-6244	489	27	variety	variety	NOUN
cana-6244	489	28	of	of	ADP
cana-6244	489	29	different	different	ADJ
cana-6244	489	30	wave	wave	NOUN
cana-6244	489	31	profiles	profile	NOUN
cana-6244	489	32	for	for	ADP
cana-6244	489	33	the	the	DET
cana-6244	489	34	higher	higher	ADV
cana-6244	489	35	-	-	PUNCT
cana-6244	489	36	dimensional	dimensional	ADJ
cana-6244	489	37	modified	modify	VERB
cana-6244	489	38	dispersive	dispersive	ADJ
cana-6244	489	39	water	water	NOUN
cana-6244	489	40	wave	wave	NOUN
cana-6244	489	41	system	system	NOUN
cana-6244	489	42	of	of	ADP
cana-6244	489	43	equations	equation	NOUN
cana-6244	489	44	,	,	PUNCT
cana-6244	489	45	”	"	PUNCT
cana-6244	489	46	the	the	DET
cana-6244	489	47	european	european	PROPN
cana-6244	489	48	physical	physical	PROPN
cana-6244	489	49	journal	journal	PROPN
cana-6244	489	50	plus	plus	CCONJ
cana-6244	489	51	,	,	PUNCT
cana-6244	489	52	vol	vol	NOUN
cana-6244	489	53	.	.	PROPN
cana-6244	489	54	138	138	NUM
cana-6244	489	55	,	,	PUNCT
cana-6244	489	56	no	no	INTJ
cana-6244	489	57	.	.	NOUN
cana-6244	489	58	5	5	NUM
cana-6244	489	59	,	,	PUNCT
cana-6244	489	60	p.	p.	NOUN
cana-6244	489	61	434	434	NUM
cana-6244	489	62	,	,	PUNCT
cana-6244	489	63	2023	2023	NUM
cana-6244	489	64	.	.	PUNCT
cana-6244	490	1	[	[	X
cana-6244	490	2	15	15	NUM
cana-6244	490	3	]	]	X
cana-6244	490	4	a.-m	a.-m	NOUN
cana-6244	490	5	.	.	PUNCT
cana-6244	491	1	wazwaz	wazwaz	NOUN
cana-6244	491	2	,	,	PUNCT
cana-6244	491	3	“	"	PUNCT
cana-6244	491	4	the	the	DET
cana-6244	491	5	simplified	simplified	ADJ
cana-6244	491	6	hirota	hirota	NOUN
cana-6244	491	7	’s	’s	PART
cana-6244	491	8	method	method	NOUN
cana-6244	491	9	for	for	ADP
cana-6244	491	10	studying	study	VERB
cana-6244	491	11	three	three	NUM
cana-6244	491	12	extended	extended	ADJ
cana-6244	491	13	higher	high	ADJ
cana-6244	491	14	-	-	PUNCT
cana-6244	491	15	order	order	NOUN
cana-6244	491	16	kdv	kdv	NOUN
cana-6244	491	17	-	-	PUNCT
cana-6244	491	18	type	type	NOUN
cana-6244	491	19	equations	equation	NOUN
cana-6244	491	20	,	,	PUNCT
cana-6244	491	21	”	"	PUNCT
cana-6244	491	22	journal	journal	NOUN
cana-6244	491	23	of	of	ADP
cana-6244	491	24	ocean	ocean	PROPN
cana-6244	491	25	engineering	engineering	NOUN
cana-6244	491	26	and	and	CCONJ
cana-6244	491	27	science	science	NOUN
cana-6244	491	28	,	,	PUNCT
cana-6244	491	29	vol	vol	NOUN
cana-6244	491	30	.	.	PROPN
cana-6244	491	31	1	1	NUM
cana-6244	491	32	,	,	PUNCT
cana-6244	491	33	no	no	INTJ
cana-6244	491	34	.	.	NOUN
cana-6244	491	35	3	3	NUM
cana-6244	491	36	,	,	PUNCT
cana-6244	491	37	pp	pp	ADJ
cana-6244	491	38	.	.	PUNCT
cana-6244	492	1	181–185	181–185	NUM
cana-6244	492	2	,	,	PUNCT
cana-6244	492	3	2016	2016	NUM
cana-6244	492	4	.	.	PUNCT
cana-6244	493	1	[	[	X
cana-6244	493	2	16	16	NUM
cana-6244	493	3	]	]	X
cana-6244	493	4	w.	w.	PROPN
cana-6244	493	5	hereman	hereman	PROPN
cana-6244	493	6	and	and	CCONJ
cana-6244	493	7	a.	a.	NOUN
cana-6244	493	8	nuseir	nuseir	NOUN
cana-6244	493	9	,	,	PUNCT
cana-6244	493	10	“	"	PUNCT
cana-6244	493	11	symbolic	symbolic	ADJ
cana-6244	493	12	methods	method	NOUN
cana-6244	493	13	to	to	PART
cana-6244	493	14	construct	construct	VERB
cana-6244	493	15	exact	exact	ADJ
cana-6244	493	16	solutions	solution	NOUN
cana-6244	493	17	of	of	ADP
cana-6244	493	18	nonlinear	nonlinear	ADJ
cana-6244	493	19	partial	partial	ADJ
cana-6244	493	20	differential	differential	NOUN
cana-6244	493	21	equations	equation	NOUN
cana-6244	493	22	,	,	PUNCT
cana-6244	493	23	”	"	PUNCT
cana-6244	493	24	mathematics	mathematic	NOUN
cana-6244	493	25	and	and	CCONJ
cana-6244	493	26	computers	computer	NOUN
cana-6244	493	27	in	in	ADP
cana-6244	493	28	simulation	simulation	NOUN
cana-6244	493	29	,	,	PUNCT
cana-6244	493	30	vol	vol	NOUN
cana-6244	493	31	.	.	PROPN
cana-6244	493	32	43	43	NUM
cana-6244	493	33	,	,	PUNCT
cana-6244	493	34	no	no	INTJ
cana-6244	493	35	.	.	NOUN
cana-6244	493	36	1	1	NUM
cana-6244	493	37	,	,	PUNCT
cana-6244	493	38	pp	pp	ADJ
cana-6244	493	39	.	.	PUNCT
cana-6244	493	40	13–27	13–27	NUM
cana-6244	493	41	,	,	PUNCT
cana-6244	493	42	1997	1997	NUM
cana-6244	493	43	.	.	PUNCT
cana-6244	494	1	[	[	X
cana-6244	494	2	17	17	NUM
cana-6244	494	3	]	]	X
cana-6244	494	4	y.	y.	PROPN
cana-6244	494	5	shen	shen	PROPN
cana-6244	494	6	,	,	PUNCT
cana-6244	494	7	b.	b.	PROPN
cana-6244	494	8	tian	tian	PROPN
cana-6244	494	9	,	,	PUNCT
cana-6244	494	10	c.-d	c.-d	PROPN
cana-6244	494	11	.	.	PUNCT
cana-6244	495	1	cheng	cheng	PROPN
cana-6244	495	2	,	,	PUNCT
cana-6244	495	3	and	and	CCONJ
cana-6244	495	4	t.-y	t.-y	NOUN
cana-6244	495	5	.	.	PUNCT
cana-6244	496	1	zhou	zhou	PROPN
cana-6244	496	2	,	,	PUNCT
cana-6244	496	3	“	"	PUNCT
cana-6244	496	4	pfaffian	pfaffian	ADJ
cana-6244	496	5	solutions	solution	NOUN
cana-6244	496	6	and	and	CCONJ
cana-6244	496	7	nonlinear	nonlinear	ADJ
cana-6244	496	8	waves	wave	NOUN
cana-6244	496	9	of	of	ADP
cana-6244	496	10	a	a	DET
cana-6244	496	11	(	(	PUNCT
cana-6244	496	12	3	3	NUM
cana-6244	496	13	+	+	NUM
cana-6244	496	14	1)-dimensional	1)-dimensional	NUM
cana-6244	496	15	generalized	generalized	ADJ
cana-6244	496	16	konopelchenko	konopelchenko	NOUN
cana-6244	496	17	–	–	PUNCT
cana-6244	496	18	dubrovsky	dubrovsky	ADJ
cana-6244	496	19	–	–	PUNCT
cana-6244	496	20	kaup	kaup	NOUN
cana-6244	496	21	–	–	PUNCT
cana-6244	496	22	kupershmidt	kupershmidt	ADJ
cana-6244	496	23	system	system	NOUN
cana-6244	496	24	in	in	ADP
cana-6244	496	25	fluid	fluid	ADJ
cana-6244	496	26	mechanics	mechanic	NOUN
cana-6244	496	27	,	,	PUNCT
cana-6244	496	28	”	"	PUNCT
cana-6244	496	29	physics	physics	NOUN
cana-6244	496	30	of	of	ADP
cana-6244	496	31	fluids	fluid	NOUN
cana-6244	496	32	,	,	PUNCT
cana-6244	496	33	vol	vol	NOUN
cana-6244	496	34	.	.	PROPN
cana-6244	496	35	35	35	NUM
cana-6244	496	36	,	,	PUNCT
cana-6244	496	37	no	no	INTJ
cana-6244	496	38	.	.	NOUN
cana-6244	496	39	2	2	NUM
cana-6244	496	40	,	,	PUNCT
cana-6244	496	41	2023	2023	NUM
cana-6244	496	42	.	.	PUNCT
cana-6244	497	1	[	[	X
cana-6244	497	2	18	18	NUM
cana-6244	497	3	]	]	PUNCT
cana-6244	497	4	c.-d	c.-d	PROPN
cana-6244	497	5	.	.	PUNCT
cana-6244	498	1	cheng	cheng	PROPN
cana-6244	498	2	,	,	PUNCT
cana-6244	498	3	b.	b.	PROPN
cana-6244	498	4	tian	tian	PROPN
cana-6244	498	5	,	,	PUNCT
cana-6244	498	6	y.	y.	PROPN
cana-6244	498	7	shen	shen	PROPN
cana-6244	498	8	,	,	PUNCT
cana-6244	498	9	and	and	CCONJ
cana-6244	498	10	t.-y	t.-y	NOUN
cana-6244	498	11	.	.	PUNCT
cana-6244	499	1	zhou	zhou	PROPN
cana-6244	499	2	,	,	PUNCT
cana-6244	499	3	“	"	PUNCT
cana-6244	499	4	bilinear	bilinear	NOUN
cana-6244	499	5	form	form	NOUN
cana-6244	499	6	,	,	PUNCT
cana-6244	499	7	auto	auto	NOUN
cana-6244	499	8	-	-	PUNCT
cana-6244	499	9	bäcklund	bäcklund	NOUN
cana-6244	499	10	transformations	transformation	NOUN
cana-6244	499	11	,	,	PUNCT
cana-6244	499	12	pfaffian	pfaffian	NOUN
cana-6244	499	13	,	,	PUNCT
cana-6244	499	14	soliton	soliton	NOUN
cana-6244	499	15	,	,	PUNCT
cana-6244	499	16	and	and	CCONJ
cana-6244	499	17	breather	breather	NOUN
cana-6244	499	18	solutions	solution	NOUN
cana-6244	499	19	for	for	ADP
cana-6244	499	20	a	a	DET
cana-6244	499	21	(	(	PUNCT
cana-6244	499	22	3	3	NUM
cana-6244	499	23	+	+	NUM
cana-6244	499	24	1)-dimensional	1)-dimensional	NUM
cana-6244	499	25	extended	extend	VERB
cana-6244	499	26	shallow	shallow	ADJ
cana-6244	499	27	water	water	NOUN
cana-6244	499	28	wave	wave	NOUN
cana-6244	499	29	equation	equation	NOUN
cana-6244	499	30	,	,	PUNCT
cana-6244	499	31	”	"	PUNCT
cana-6244	499	32	physics	physics	NOUN
cana-6244	499	33	of	of	ADP
cana-6244	499	34	fluids	fluid	NOUN
cana-6244	499	35	,	,	PUNCT
cana-6244	499	36	vol	vol	NOUN
cana-6244	499	37	.	.	PROPN
cana-6244	499	38	35	35	NUM
cana-6244	499	39	,	,	PUNCT
cana-6244	499	40	no	no	INTJ
cana-6244	499	41	.	.	NOUN
cana-6244	499	42	8	8	NUM
cana-6244	499	43	,	,	PUNCT
cana-6244	499	44	2023	2023	NUM
cana-6244	499	45	.	.	PUNCT
cana-6244	500	1	[	[	X
cana-6244	500	2	19	19	NUM
cana-6244	500	3	]	]	PUNCT
cana-6244	500	4	p.	p.	NOUN
cana-6244	500	5	capetillo	capetillo	PROPN
cana-6244	500	6	and	and	CCONJ
cana-6244	500	7	j.	j.	PROPN
cana-6244	500	8	hornewall	hornewall	PROPN
cana-6244	500	9	,	,	PUNCT
cana-6244	500	10	“	"	PUNCT
cana-6244	500	11	introduction	introduction	NOUN
cana-6244	500	12	to	to	ADP
cana-6244	500	13	the	the	DET
cana-6244	500	14	hirota	hirota	PROPN
cana-6244	500	15	direct	direct	ADJ
cana-6244	500	16	method	method	NOUN
cana-6244	500	17	,	,	PUNCT
cana-6244	500	18	”	"	PUNCT
cana-6244	500	19	2021	2021	NUM
cana-6244	500	20	.	.	PUNCT
cana-6244	501	1	[	[	X
cana-6244	501	2	20	20	NUM
cana-6244	501	3	]	]	PUNCT
cana-6244	501	4	e.	e.	PROPN
cana-6244	501	5	hopf	hopf	PROPN
cana-6244	501	6	,	,	PUNCT
cana-6244	501	7	“	"	PUNCT
cana-6244	501	8	the	the	DET
cana-6244	501	9	partial	partial	ADJ
cana-6244	501	10	differential	differential	NOUN
cana-6244	501	11	equation	equation	NOUN
cana-6244	501	12	,	,	PUNCT
cana-6244	501	13	”	"	PUNCT
cana-6244	501	14	1950	1950	NUM
cana-6244	501	15	.	.	PUNCT
cana-6244	502	1	[	[	X
cana-6244	502	2	21	21	NUM
cana-6244	502	3	]	]	X
cana-6244	502	4	j.	j.	PROPN
cana-6244	502	5	d.	d.	PROPN
cana-6244	502	6	cole	cole	PROPN
cana-6244	502	7	,	,	PUNCT
cana-6244	502	8	“	"	PUNCT
cana-6244	502	9	on	on	ADP
cana-6244	502	10	a	a	DET
cana-6244	502	11	quasi	quasi	ADJ
cana-6244	502	12	-	-	ADJ
cana-6244	502	13	linear	linear	ADJ
cana-6244	502	14	parabolic	parabolic	ADJ
cana-6244	502	15	equation	equation	NOUN
cana-6244	502	16	occurring	occur	VERB
cana-6244	502	17	in	in	ADP
cana-6244	502	18	aerodynamics	aerodynamic	NOUN
cana-6244	502	19	,	,	PUNCT
cana-6244	502	20	”	"	PUNCT
cana-6244	502	21	quarterly	quarterly	ADJ
cana-6244	502	22	of	of	ADP
cana-6244	502	23	applied	applied	ADJ
cana-6244	502	24	mathematics	mathematic	NOUN
cana-6244	502	25	,	,	PUNCT
cana-6244	502	26	vol	vol	NOUN
cana-6244	502	27	.	.	PROPN
cana-6244	502	28	9	9	NUM
cana-6244	502	29	,	,	PUNCT
cana-6244	502	30	no	no	INTJ
cana-6244	502	31	.	.	NOUN
cana-6244	502	32	3	3	NUM
cana-6244	502	33	,	,	PUNCT
cana-6244	502	34	pp	pp	ADJ
cana-6244	502	35	.	.	PUNCT
cana-6244	503	1	225–236	225–236	NUM
cana-6244	503	2	,	,	PUNCT
cana-6244	503	3	1951	1951	NUM
cana-6244	503	4	.	.	PUNCT
cana-6244	504	1	[	[	X
cana-6244	504	2	22	22	NUM
cana-6244	504	3	]	]	X
cana-6244	504	4	r.	r.	PROPN
cana-6244	504	5	hirota	hirota	PROPN
cana-6244	504	6	,	,	PUNCT
cana-6244	504	7	the	the	DET
cana-6244	504	8	direct	direct	ADJ
cana-6244	504	9	method	method	NOUN
cana-6244	504	10	in	in	ADP
cana-6244	504	11	soliton	soliton	NOUN
cana-6244	504	12	theory	theory	NOUN
cana-6244	504	13	.	.	PUNCT
cana-6244	505	1	no	no	INTJ
cana-6244	505	2	.	.	NOUN
cana-6244	505	3	155	155	NUM
cana-6244	505	4	,	,	PUNCT
cana-6244	505	5	cambridge	cambridge	PROPN
cana-6244	505	6	university	university	PROPN
cana-6244	505	7	press	press	NOUN
cana-6244	505	8	,	,	PUNCT
cana-6244	505	9	2004	2004	NUM
cana-6244	505	10	.	.	PUNCT
cana-6244	506	1	[	[	X
cana-6244	506	2	23	23	NUM
cana-6244	506	3	]	]	X
cana-6244	506	4	a.-m	a.-m	NOUN
cana-6244	506	5	.	.	PUNCT
cana-6244	507	1	wazwaz	wazwaz	NOUN
cana-6244	507	2	,	,	PUNCT
cana-6244	507	3	“	"	PUNCT
cana-6244	507	4	multiple	multiple	ADJ
cana-6244	507	5	-	-	PUNCT
cana-6244	507	6	soliton	soliton	NOUN
cana-6244	507	7	solutions	solution	NOUN
cana-6244	507	8	for	for	ADP
cana-6244	507	9	the	the	DET
cana-6244	507	10	boussinesq	boussinesq	ADJ
cana-6244	507	11	equation	equation	NOUN
cana-6244	507	12	,	,	PUNCT
cana-6244	507	13	”	"	PUNCT
cana-6244	507	14	applied	apply	VERB
cana-6244	507	15	mathematics	mathematic	NOUN
cana-6244	507	16	and	and	CCONJ
cana-6244	507	17	computation	computation	NOUN
cana-6244	507	18	,	,	PUNCT
cana-6244	507	19	vol	vol	NOUN
cana-6244	507	20	.	.	PROPN
cana-6244	507	21	192	192	NUM
cana-6244	507	22	,	,	PUNCT
cana-6244	507	23	no	no	INTJ
cana-6244	507	24	.	.	NOUN
cana-6244	507	25	2	2	NUM
cana-6244	507	26	,	,	PUNCT
cana-6244	507	27	pp	pp	ADJ
cana-6244	507	28	.	.	PUNCT
cana-6244	508	1	479–486	479–486	NUM
cana-6244	508	2	,	,	PUNCT
cana-6244	508	3	2007	2007	NUM
cana-6244	508	4	.	.	PUNCT
cana-6244	509	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	509	2	1234	1234	NUM
cana-6244	509	3	communications	communication	NOUN
cana-6244	509	4	on	on	ADP
cana-6244	509	5	applied	apply	VERB
cana-6244	509	6	nonlinear	nonlinear	ADJ
cana-6244	509	7	analysis	analysis	NOUN
cana-6244	509	8	issn	issn	NOUN
cana-6244	509	9	:	:	PUNCT
cana-6244	509	10	1074	1074	NUM
cana-6244	509	11	-	-	PUNCT
cana-6244	509	12	133x	133x	NUM
cana-6244	509	13	vol	vol	NOUN
cana-6244	509	14	31	31	NUM
cana-6244	509	15	no	no	NOUN
cana-6244	509	16	.	.	PUNCT
cana-6244	510	1	8s	8s	PROPN
cana-6244	510	2	(	(	PUNCT
cana-6244	510	3	2024	2024	NUM
cana-6244	510	4	)	)	PUNCT
cana-6244	511	1	[	[	X
cana-6244	511	2	24	24	NUM
cana-6244	511	3	]	]	PUNCT
cana-6244	511	4	w.-x	w.-x	PROPN
cana-6244	511	5	.	.	PUNCT
cana-6244	512	1	ma	ma	PROPN
cana-6244	512	2	,	,	PUNCT
cana-6244	512	3	“	"	PUNCT
cana-6244	512	4	n	n	CCONJ
cana-6244	512	5	-	-	PUNCT
cana-6244	512	6	soliton	soliton	NOUN
cana-6244	512	7	solutions	solution	NOUN
cana-6244	512	8	and	and	CCONJ
cana-6244	512	9	the	the	DET
cana-6244	512	10	hirota	hirota	NOUN
cana-6244	512	11	conditions	condition	NOUN
cana-6244	512	12	in	in	ADP
cana-6244	512	13	(	(	PUNCT
cana-6244	512	14	2	2	NUM
cana-6244	512	15	+	+	NUM
cana-6244	512	16	1)-dimensions	1)-dimensions	NUM
cana-6244	512	17	,	,	PUNCT
cana-6244	512	18	”	"	PUNCT
cana-6244	512	19	optical	optical	ADJ
cana-6244	512	20	and	and	CCONJ
cana-6244	512	21	quantum	quantum	NOUN
cana-6244	512	22	electronics	electronic	NOUN
cana-6244	512	23	,	,	PUNCT
cana-6244	512	24	vol	vol	NOUN
cana-6244	512	25	.	.	PROPN
cana-6244	512	26	52	52	NUM
cana-6244	512	27	,	,	PUNCT
cana-6244	512	28	no	no	INTJ
cana-6244	512	29	.	.	NOUN
cana-6244	512	30	12	12	NUM
cana-6244	512	31	,	,	PUNCT
cana-6244	512	32	p.	p.	NOUN
cana-6244	512	33	511	511	NUM
cana-6244	512	34	,	,	PUNCT
cana-6244	512	35	2020	2020	NUM
cana-6244	512	36	.	.	PUNCT
cana-6244	513	1	[	[	X
cana-6244	513	2	25	25	NUM
cana-6244	513	3	]	]	PUNCT
cana-6244	513	4	s.	s.	PROPN
cana-6244	513	5	kumar	kumar	PROPN
cana-6244	513	6	and	and	CCONJ
cana-6244	513	7	b.	b.	PROPN
cana-6244	513	8	mohan	mohan	PROPN
cana-6244	513	9	,	,	PUNCT
cana-6244	513	10	“	"	PUNCT
cana-6244	513	11	a	a	DET
cana-6244	513	12	study	study	NOUN
cana-6244	513	13	of	of	ADP
cana-6244	513	14	multi	multi	ADJ
cana-6244	513	15	-	-	ADJ
cana-6244	513	16	soliton	soliton	ADJ
cana-6244	513	17	solutions	solution	NOUN
cana-6244	513	18	,	,	PUNCT
cana-6244	513	19	breather	breather	NOUN
cana-6244	513	20	,	,	PUNCT
cana-6244	513	21	lumps	lump	VERB
cana-6244	513	22	,	,	PUNCT
cana-6244	513	23	and	and	CCONJ
cana-6244	513	24	their	their	PRON
cana-6244	513	25	interactions	interaction	NOUN
cana-6244	513	26	for	for	ADP
cana-6244	513	27	kadomtsev	kadomtsev	VERB
cana-6244	513	28	-	-	PUNCT
cana-6244	513	29	petviashvili	petviashvili	NOUN
cana-6244	513	30	equation	equation	NOUN
cana-6244	513	31	with	with	ADP
cana-6244	513	32	variable	variable	ADJ
cana-6244	513	33	time	time	NOUN
cana-6244	513	34	coeffcient	coeffcient	NOUN
cana-6244	513	35	using	use	VERB
cana-6244	513	36	hirota	hirota	NOUN
cana-6244	513	37	method	method	NOUN
cana-6244	513	38	,	,	PUNCT
cana-6244	513	39	”	"	PUNCT
cana-6244	513	40	physica	physica	PROPN
cana-6244	513	41	scripta	scripta	PROPN
cana-6244	513	42	,	,	PUNCT
cana-6244	513	43	vol	vol	NOUN
cana-6244	513	44	.	.	PROPN
cana-6244	513	45	96	96	NUM
cana-6244	513	46	,	,	PUNCT
cana-6244	513	47	no	no	INTJ
cana-6244	513	48	.	.	NOUN
cana-6244	513	49	12	12	NUM
cana-6244	513	50	,	,	PUNCT
cana-6244	513	51	p.	p.	NOUN
cana-6244	513	52	125255	125255	NUM
cana-6244	513	53	,	,	PUNCT
cana-6244	513	54	2021	2021	NUM
cana-6244	513	55	.	.	PUNCT
cana-6244	514	1	[	[	X
cana-6244	514	2	26	26	NUM
cana-6244	514	3	]	]	X
cana-6244	514	4	r.	r.	PROPN
cana-6244	514	5	m.	m.	PROPN
cana-6244	515	1	el	el	PROPN
cana-6244	515	2	-	-	PROPN
cana-6244	515	3	shiekh	shiekh	PROPN
cana-6244	515	4	and	and	CCONJ
cana-6244	515	5	m.	m.	NOUN
cana-6244	515	6	gaballah	gaballah	PROPN
cana-6244	515	7	,	,	PUNCT
cana-6244	515	8	“	"	PUNCT
cana-6244	515	9	bilinear	bilinear	NOUN
cana-6244	515	10	form	form	NOUN
cana-6244	515	11	and	and	CCONJ
cana-6244	515	12	n	n	CCONJ
cana-6244	515	13	-	-	PUNCT
cana-6244	515	14	soliton	soliton	NOUN
cana-6244	515	15	thermophoric	thermophoric	ADJ
cana-6244	515	16	waves	wave	NOUN
cana-6244	515	17	for	for	ADP
cana-6244	515	18	the	the	DET
cana-6244	515	19	variable	variable	ADJ
cana-6244	515	20	coefficients	coefficient	NOUN
cana-6244	515	21	(	(	PUNCT
cana-6244	515	22	2	2	NUM
cana-6244	515	23	+	+	NUM
cana-6244	515	24	1)-dimensional	1)-dimensional	ADJ
cana-6244	515	25	graphene	graphene	NOUN
cana-6244	515	26	sheets	sheet	NOUN
cana-6244	515	27	equation	equation	NOUN
cana-6244	515	28	,	,	PUNCT
cana-6244	515	29	”	"	PUNCT
cana-6244	515	30	optical	optical	ADJ
cana-6244	515	31	and	and	CCONJ
cana-6244	515	32	quantum	quantum	NOUN
cana-6244	515	33	electronics	electronic	NOUN
cana-6244	515	34	,	,	PUNCT
cana-6244	515	35	vol	vol	NOUN
cana-6244	515	36	.	.	PROPN
cana-6244	516	1	56	56	NUM
cana-6244	516	2	,	,	PUNCT
cana-6244	516	3	no	no	INTJ
cana-6244	516	4	.	.	NOUN
cana-6244	516	5	5	5	NUM
cana-6244	516	6	,	,	PUNCT
cana-6244	516	7	p.	p.	NOUN
cana-6244	516	8	872	872	NUM
cana-6244	516	9	,	,	PUNCT
cana-6244	516	10	2024	2024	NUM
cana-6244	516	11	.	.	PUNCT
cana-6244	517	1	[	[	X
cana-6244	517	2	27	27	NUM
cana-6244	517	3	]	]	PUNCT
cana-6244	517	4	w.-x	w.-x	NOUN
cana-6244	517	5	.	.	PUNCT
cana-6244	518	1	ma	ma	PROPN
cana-6244	518	2	and	and	CCONJ
cana-6244	518	3	z.	z.	PROPN
cana-6244	518	4	zhu	zhu	PROPN
cana-6244	518	5	,	,	PUNCT
cana-6244	518	6	“	"	PUNCT
cana-6244	518	7	solving	solve	VERB
cana-6244	518	8	the	the	DET
cana-6244	518	9	(	(	PUNCT
cana-6244	518	10	3	3	NUM
cana-6244	518	11	+	+	NUM
cana-6244	518	12	1)-dimensional	1)-dimensional	NUM
cana-6244	518	13	generalized	generalized	ADJ
cana-6244	518	14	kp	kp	NOUN
cana-6244	518	15	and	and	CCONJ
cana-6244	518	16	bkp	bkp	PROPN
cana-6244	518	17	equations	equation	NOUN
cana-6244	518	18	by	by	ADP
cana-6244	518	19	the	the	DET
cana-6244	518	20	multiple	multiple	ADJ
cana-6244	518	21	exp	exp	NOUN
cana-6244	518	22	-	-	PUNCT
cana-6244	518	23	function	function	NOUN
cana-6244	518	24	algorithm	algorithm	NOUN
cana-6244	518	25	,	,	PUNCT
cana-6244	518	26	”	"	PUNCT
cana-6244	518	27	applied	apply	VERB
cana-6244	518	28	mathematics	mathematic	NOUN
cana-6244	518	29	and	and	CCONJ
cana-6244	518	30	computation	computation	NOUN
cana-6244	518	31	,	,	PUNCT
cana-6244	518	32	vol	vol	NOUN
cana-6244	518	33	.	.	PROPN
cana-6244	518	34	218	218	NUM
cana-6244	518	35	,	,	PUNCT
cana-6244	518	36	no	no	INTJ
cana-6244	518	37	.	.	NOUN
cana-6244	518	38	24	24	NUM
cana-6244	518	39	,	,	PUNCT
cana-6244	518	40	pp	pp	ADJ
cana-6244	518	41	.	.	PUNCT
cana-6244	519	1	11871	11871	NUM
cana-6244	519	2	–	–	PUNCT
cana-6244	519	3	11879	11879	NUM
cana-6244	519	4	,	,	PUNCT
cana-6244	519	5	2012	2012	NUM
cana-6244	519	6	.	.	PUNCT
cana-6244	520	1	[	[	X
cana-6244	520	2	28	28	NUM
cana-6244	520	3	]	]	X
cana-6244	520	4	m.	m.	PROPN
cana-6244	520	5	r.	r.	PROPN
cana-6244	520	6	ali	ali	PROPN
cana-6244	520	7	and	and	CCONJ
cana-6244	520	8	w.-x	w.-x	PROPN
cana-6244	520	9	.	.	PUNCT
cana-6244	521	1	ma	ma	PROPN
cana-6244	521	2	,	,	PUNCT
cana-6244	521	3	“	"	PUNCT
cana-6244	521	4	new	new	ADJ
cana-6244	521	5	exact	exact	ADJ
cana-6244	521	6	solutions	solution	NOUN
cana-6244	521	7	of	of	ADP
cana-6244	521	8	nonlinear	nonlinear	ADJ
cana-6244	521	9	(	(	PUNCT
cana-6244	521	10	3	3	NUM
cana-6244	521	11	+	+	NUM
cana-6244	521	12	1)-dimensional	1)-dimensional	NUM
cana-6244	521	13	boiti	boiti	PROPN
cana-6244	521	14	-	-	PUNCT
cana-6244	521	15	leon	leon	PROPN
cana-6244	521	16	-	-	PUNCT
cana-6244	521	17	mannapempinelli	mannapempinelli	PROPN
cana-6244	521	18	equation	equation	NOUN
cana-6244	521	19	,	,	PUNCT
cana-6244	521	20	”	"	PUNCT
cana-6244	521	21	advances	advance	NOUN
cana-6244	521	22	in	in	ADP
cana-6244	521	23	mathematical	mathematical	ADJ
cana-6244	521	24	physics	physics	NOUN
cana-6244	521	25	,	,	PUNCT
cana-6244	521	26	vol	vol	NOUN
cana-6244	521	27	.	.	PROPN
cana-6244	521	28	2019	2019	NUM
cana-6244	521	29	,	,	PUNCT
cana-6244	521	30	no	no	INTJ
cana-6244	521	31	.	.	NOUN
cana-6244	521	32	1	1	NUM
cana-6244	521	33	,	,	PUNCT
cana-6244	521	34	p.	p.	NOUN
cana-6244	521	35	9801638	9801638	NUM
cana-6244	521	36	,	,	PUNCT
cana-6244	521	37	2019	2019	NUM
cana-6244	521	38	.	.	PUNCT
cana-6244	522	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6244	522	2	1235	1235	NUM
cana-6244	522	3	introduction	introduction	NOUN
cana-6244	522	4	hirota	hirota	PROPN
cana-6244	522	5	bilinear	bilinear	NOUN
cana-6244	522	6	form	form	NOUN
cana-6244	522	7	of	of	ADP
cana-6244	522	8	a	a	DET
cana-6244	522	9	nonlinear	nonlinear	ADJ
cana-6244	522	10	pde	pde	NOUN
cana-6244	522	11	cole	cole	PROPN
cana-6244	522	12	–	–	PUNCT
cana-6244	522	13	hopf	hopf	ADJ
cana-6244	522	14	transformations	transformation	VERB
cana-6244	522	15	the	the	DET
cana-6244	522	16	hirota	hirota	PROPN
cana-6244	522	17	bilinear	bilinear	NOUN
cana-6244	522	18	operator	operator	NOUN
cana-6244	522	19	algorithm	algorithm	NOUN
cana-6244	522	20	for	for	ADP
cana-6244	522	21	bilinear	bilinear	NOUN
cana-6244	522	22	form	form	NOUN
cana-6244	522	23	applications	application	NOUN
cana-6244	522	24	of	of	ADP
cana-6244	522	25	hirota	hirota	PROPN
cana-6244	522	26	bilinear	bilinear	NOUN
cana-6244	522	27	form	form	NOUN
cana-6244	522	28	kdv	kdv	NOUN
cana-6244	522	29	equation	equation	NOUN
cana-6244	522	30	in	in	ADP
cana-6244	522	31	(	(	PUNCT
cana-6244	522	32	1	1	NUM
cana-6244	522	33	+	+	NUM
cana-6244	522	34	1)-dimensions	1)-dimensions	NUM
cana-6244	522	35	boussinesq	boussinesq	ADJ
cana-6244	522	36	equation	equation	NOUN
cana-6244	522	37	in	in	ADP
cana-6244	522	38	(	(	PUNCT
cana-6244	522	39	1	1	NUM
cana-6244	522	40	+	+	NOUN
cana-6244	522	41	1)-dimensions	1)-dimensions	NUM
cana-6244	522	42	kp	kp	PROPN
cana-6244	522	43	equation	equation	NOUN
cana-6244	522	44	in	in	ADP
cana-6244	522	45	(	(	PUNCT
cana-6244	522	46	2	2	NUM
cana-6244	522	47	+	+	NOUN
cana-6244	522	48	1)-dimensions	1)-dimensions	NUM
cana-6244	522	49	kp	kp	PROPN
cana-6244	522	50	equation	equation	NOUN
cana-6244	522	51	with	with	ADP
cana-6244	522	52	variable	variable	ADJ
cana-6244	522	53	coefficients	coefficient	NOUN
cana-6244	522	54	in	in	ADP
cana-6244	522	55	(	(	PUNCT
cana-6244	522	56	2	2	NUM
cana-6244	522	57	+	+	ADJ
cana-6244	522	58	1)-dimensions	1)-dimensions	NUM
cana-6244	522	59	graphene	graphene	NOUN
cana-6244	522	60	-	-	PUNCT
cana-6244	522	61	sheets	sheet	NOUN
cana-6244	522	62	equation	equation	NOUN
cana-6244	522	63	in	in	ADP
cana-6244	522	64	(	(	PUNCT
cana-6244	522	65	2	2	NUM
cana-6244	522	66	+	+	PROPN
cana-6244	522	67	1)-dimensions	1)-dimensions	NUM
cana-6244	522	68	bogoyavlenskii	bogoyavlenskii	ADJ
cana-6244	522	69	–	–	PUNCT
cana-6244	522	70	kadomtsev	kadomtsev	ADJ
cana-6244	522	71	–	–	PUNCT
cana-6244	522	72	petviashvili	petviashvili	NOUN
cana-6244	522	73	(	(	PUNCT
cana-6244	522	74	bkp	bkp	NOUN
cana-6244	522	75	)	)	PUNCT
cana-6244	522	76	equation	equation	NOUN
cana-6244	522	77	in	in	ADP
cana-6244	522	78	(	(	PUNCT
cana-6244	522	79	3	3	NUM
cana-6244	522	80	+	+	NOUN
cana-6244	522	81	1)-dimensions	1)-dimensions	NUM
cana-6244	522	82	boiti	boiti	NOUN
cana-6244	522	83	–	–	PUNCT
cana-6244	522	84	leon	leon	PROPN
cana-6244	522	85	–	–	PUNCT
cana-6244	522	86	manna	manna	NOUN
cana-6244	522	87	–	–	PUNCT
cana-6244	522	88	pempinelli	pempinelli	ADJ
cana-6244	522	89	equation	equation	NOUN
cana-6244	522	90	in	in	ADP
cana-6244	522	91	(	(	PUNCT
cana-6244	522	92	3	3	NUM
cana-6244	522	93	+	+	SYM
cana-6244	522	94	1)-dimensions	1)-dimensions	NUM
cana-6244	522	95	results	result	NOUN
cana-6244	522	96	and	and	CCONJ
cana-6244	522	97	analysis	analysis	NOUN
cana-6244	522	98	kdv	kdv	NOUN
cana-6244	522	99	equation	equation	NOUN
cana-6244	522	100	boussinesq	boussinesq	NOUN
cana-6244	522	101	equation	equation	NOUN
cana-6244	522	102	kp	kp	PROPN
cana-6244	522	103	equation	equation	NOUN
cana-6244	522	104	kp	kp	PROPN
cana-6244	522	105	equation	equation	NOUN
cana-6244	522	106	with	with	ADP
cana-6244	522	107	variable	variable	ADJ
cana-6244	522	108	coefficient	coefficient	NOUN
cana-6244	522	109	graphene	graphene	NOUN
cana-6244	522	110	-	-	PUNCT
cana-6244	522	111	sheets	sheet	NOUN
cana-6244	522	112	equation	equation	NOUN
cana-6244	522	113	bkp	bkp	NOUN
cana-6244	522	114	equation	equation	NOUN
cana-6244	522	115	blmp	blmp	ADJ
cana-6244	522	116	equation	equation	NOUN
cana-6244	522	117	conclusions	conclusion	NOUN