id	sid	tid	token	lemma	pos
cana-4666	1	1	series	series	NOUN
cana-4666	1	2	solution	solution	NOUN
cana-4666	1	3	and	and	CCONJ
cana-4666	1	4	wave	wave	NOUN
cana-4666	1	5	solution	solution	NOUN
cana-4666	1	6	of	of	ADP
cana-4666	1	7	time	time	NOUN
cana-4666	1	8	fractional	fractional	ADJ
cana-4666	1	9	generalized	generalize	VERB
cana-4666	1	10	korteweg	korteweg	NOUN
cana-4666	1	11	-	-	PUNCT
cana-4666	1	12	de	de	NOUN
cana-4666	1	13	vries	vries	PROPN
cana-4666	1	14	equation	equation	NOUN
cana-4666	1	15	mitu	mitu	NOUN
cana-4666	1	16	nagpal1	nagpal1	NOUN
cana-4666	1	17	and	and	CCONJ
cana-4666	1	18	rajeev	rajeev	PROPN
cana-4666	1	19	kumar2	kumar2	PROPN
cana-4666	2	1	1,2department	1,2department	NUM
cana-4666	2	2	of	of	ADP
cana-4666	2	3	mathematics	mathematic	NOUN
cana-4666	2	4	,	,	PUNCT
cana-4666	2	5	mmec	mmec	NOUN
cana-4666	2	6	,	,	PUNCT
cana-4666	2	7	maharishi	maharishi	NOUN
cana-4666	2	8	markandeshwar	markandeshwar	NOUN
cana-4666	2	9	(	(	PUNCT
cana-4666	2	10	deemed	deem	VERB
cana-4666	2	11	to	to	PART
cana-4666	2	12	be	be	AUX
cana-4666	2	13	university	university	NOUN
cana-4666	2	14	)	)	PUNCT
cana-4666	2	15	,	,	PUNCT
cana-4666	2	16	mullana	mullana	PROPN
cana-4666	2	17	,	,	PUNCT
cana-4666	2	18	ambala-133207(haryana	ambala-133207(haryana	PROPN
cana-4666	2	19	)	)	PUNCT
cana-4666	2	20	,	,	PUNCT
cana-4666	2	21	india	india	PROPN
cana-4666	2	22	corresponding	corresponding	PROPN
cana-4666	2	23	should	should	AUX
cana-4666	2	24	be	be	AUX
cana-4666	2	25	addressed	address	VERB
cana-4666	2	26	to	to	ADP
cana-4666	2	27	mitu	mitu	NOUN
cana-4666	2	28	nagpal	nagpal	ADV
cana-4666	2	29	;	;	PUNCT
cana-4666	2	30	gakharmitu@gmail.com	gakharmitu@gmail.com	X
cana-4666	2	31	keywords	keyword	NOUN
cana-4666	2	32	:	:	PUNCT
cana-4666	2	33	korteweg	korteweg	NOUN
cana-4666	2	34	-	-	PUNCT
cana-4666	2	35	de	de	PROPN
cana-4666	2	36	vries	vries	PROPN
cana-4666	2	37	equation	equation	NOUN
cana-4666	2	38	,	,	PUNCT
cana-4666	2	39	lie	lie	NOUN
cana-4666	2	40	symmetry	symmetry	NOUN
cana-4666	2	41	,	,	PUNCT
cana-4666	2	42	conformable	conformable	ADJ
cana-4666	2	43	derivative	derivative	ADJ
cana-4666	2	44	,	,	PUNCT
cana-4666	2	45	series	series	NOUN
cana-4666	2	46	solution	solution	NOUN
cana-4666	2	47	,	,	PUNCT
cana-4666	2	48	wave	wave	NOUN
cana-4666	2	49	solution	solution	NOUN
cana-4666	2	50	,	,	PUNCT
cana-4666	2	51	(	(	PUNCT
cana-4666	2	52	𝑮′	𝑮′	PROPN
cana-4666	2	53	𝑮	𝑮	PROPN
cana-4666	2	54	)	)	PUNCT
cana-4666	2	55	–	–	PUNCT
cana-4666	2	56	expansion	expansion	NOUN
cana-4666	2	57	method	method	NOUN
cana-4666	2	58	.	.	PUNCT
cana-4666	3	1	1	1	X
cana-4666	3	2	.	.	X
cana-4666	3	3	introduction	introduction	NOUN
cana-4666	3	4	1.1	1.1	NUM
cana-4666	3	5	scope	scope	NOUN
cana-4666	3	6	in	in	ADP
cana-4666	3	7	applied	applied	ADJ
cana-4666	3	8	mathematics	mathematic	NOUN
cana-4666	3	9	and	and	CCONJ
cana-4666	3	10	physics	physics	NOUN
cana-4666	3	11	,	,	PUNCT
cana-4666	3	12	nonlinear	nonlinear	ADJ
cana-4666	3	13	phenomena	phenomenon	NOUN
cana-4666	3	14	are	be	AUX
cana-4666	3	15	commonly	commonly	ADV
cana-4666	3	16	present	present	ADJ
cana-4666	3	17	.	.	PUNCT
cana-4666	4	1	in	in	ADP
cana-4666	4	2	applied	applied	ADJ
cana-4666	4	3	mathematics	mathematic	NOUN
cana-4666	4	4	and	and	CCONJ
cana-4666	4	5	mathematical	mathematical	ADJ
cana-4666	4	6	physics	physics	NOUN
cana-4666	4	7	non	non	ADJ
cana-4666	4	8	-	-	ADJ
cana-4666	4	9	linear	linear	ADJ
cana-4666	4	10	partial	partial	ADJ
cana-4666	4	11	differential	differential	NOUN
cana-4666	4	12	equations	equation	NOUN
cana-4666	4	13	(	(	PUNCT
cana-4666	4	14	nlpdes	nlpde	NOUN
cana-4666	4	15	)	)	PUNCT
cana-4666	4	16	are	be	AUX
cana-4666	4	17	applied	apply	VERB
cana-4666	4	18	for	for	ADP
cana-4666	4	19	modeling	model	VERB
cana-4666	4	20	several	several	ADJ
cana-4666	4	21	scientific	scientific	ADJ
cana-4666	4	22	processes	process	NOUN
cana-4666	4	23	and	and	CCONJ
cana-4666	4	24	issues	issue	NOUN
cana-4666	4	25	.	.	PUNCT
cana-4666	5	1	in	in	ADP
cana-4666	5	2	obtaining	obtain	VERB
cana-4666	5	3	the	the	DET
cana-4666	5	4	non	non	ADJ
cana-4666	5	5	-	-	ADJ
cana-4666	5	6	linear	linear	ADJ
cana-4666	5	7	fractional	fractional	ADJ
cana-4666	5	8	partial	partial	ADJ
cana-4666	5	9	differential	differential	NOUN
cana-4666	5	10	equations	equation	NOUN
cana-4666	5	11	nlfpdes	nlfpde	VERB
cana-4666	5	12	[	[	X
cana-4666	5	13	1	1	NUM
cana-4666	5	14	]	]	X
cana-4666	5	15	approximate	approximate	ADJ
cana-4666	5	16	solutions	solution	NOUN
cana-4666	5	17	are	be	AUX
cana-4666	5	18	vital	vital	ADJ
cana-4666	5	19	in	in	ADP
cana-4666	5	20	all	all	PRON
cana-4666	5	21	of	of	ADP
cana-4666	5	22	these	these	DET
cana-4666	5	23	fields	field	NOUN
cana-4666	5	24	of	of	ADP
cana-4666	5	25	study	study	NOUN
cana-4666	5	26	.	.	PUNCT
cana-4666	6	1	we	we	PRON
cana-4666	6	2	mainly	mainly	ADV
cana-4666	6	3	concentrate	concentrate	VERB
cana-4666	6	4	on	on	ADP
cana-4666	6	5	estimating	estimate	VERB
cana-4666	6	6	the	the	DET
cana-4666	6	7	precise	precise	ADJ
cana-4666	6	8	solutions	solution	NOUN
cana-4666	6	9	because	because	SCONJ
cana-4666	6	10	we	we	PRON
cana-4666	6	11	do	do	AUX
cana-4666	6	12	n’t	not	PART
cana-4666	6	13	have	have	VERB
cana-4666	6	14	a	a	DET
cana-4666	6	15	mechanism	mechanism	NOUN
cana-4666	6	16	for	for	ADP
cana-4666	6	17	finding	find	VERB
cana-4666	6	18	the	the	DET
cana-4666	6	19	precise	precise	ADJ
cana-4666	6	20	solutions	solution	NOUN
cana-4666	6	21	of	of	ADP
cana-4666	6	22	these	these	DET
cana-4666	6	23	kinds	kind	NOUN
cana-4666	6	24	of	of	ADP
cana-4666	6	25	fractional	fractional	ADJ
cana-4666	6	26	partial	partial	ADJ
cana-4666	6	27	differential	differential	NOUN
cana-4666	6	28	equations	equation	NOUN
cana-4666	6	29	(	(	PUNCT
cana-4666	6	30	fpdes	fpde	NOUN
cana-4666	6	31	)	)	PUNCT
cana-4666	6	32	.	.	PUNCT
cana-4666	7	1	abstract	abstract	ADV
cana-4666	7	2	:	:	PUNCT
cana-4666	7	3	in	in	ADP
cana-4666	7	4	the	the	DET
cana-4666	7	5	present	present	ADJ
cana-4666	7	6	article	article	NOUN
cana-4666	7	7	,	,	PUNCT
cana-4666	7	8	exact	exact	ADJ
cana-4666	7	9	solutions	solution	NOUN
cana-4666	7	10	of	of	ADP
cana-4666	7	11	nonlinear	nonlinear	ADJ
cana-4666	7	12	fractional	fractional	ADJ
cana-4666	7	13	𝑝𝑡ℎ	𝑝𝑡ℎ	NOUN
cana-4666	7	14	order	order	NOUN
cana-4666	7	15	korteweg	korteweg	NOUN
cana-4666	7	16	-	-	PUNCT
cana-4666	7	17	de	de	NOUN
cana-4666	7	18	vries	vries	PROPN
cana-4666	7	19	equation	equation	NOUN
cana-4666	7	20	time	time	NOUN
cana-4666	7	21	fractional	fractional	ADJ
cana-4666	7	22	derivatives	derivative	NOUN
cana-4666	7	23	are	be	AUX
cana-4666	7	24	deduced	deduce	VERB
cana-4666	7	25	and	and	CCONJ
cana-4666	7	26	analyzed	analyze	VERB
cana-4666	7	27	.	.	PUNCT
cana-4666	8	1	the	the	DET
cana-4666	8	2	lie	lie	NOUN
cana-4666	8	3	symmetry	symmetry	NOUN
cana-4666	8	4	approach	approach	NOUN
cana-4666	8	5	has	have	AUX
cana-4666	8	6	been	be	AUX
cana-4666	8	7	used	use	VERB
cana-4666	8	8	to	to	PART
cana-4666	8	9	identify	identify	VERB
cana-4666	8	10	the	the	DET
cana-4666	8	11	fractional	fractional	ADJ
cana-4666	8	12	kdv	kdv	NOUN
cana-4666	8	13	equation	equation	NOUN
cana-4666	8	14	's	's	PART
cana-4666	8	15	infinitesimal	infinitesimal	ADJ
cana-4666	8	16	generators	generator	NOUN
cana-4666	8	17	and	and	CCONJ
cana-4666	8	18	symmetry	symmetry	NOUN
cana-4666	8	19	reductions	reduction	NOUN
cana-4666	8	20	.	.	PUNCT
cana-4666	9	1	some	some	DET
cana-4666	9	2	new	new	ADJ
cana-4666	9	3	exact	exact	ADJ
cana-4666	9	4	solutions	solution	NOUN
cana-4666	9	5	are	be	AUX
cana-4666	9	6	obtained	obtain	VERB
cana-4666	9	7	with	with	ADP
cana-4666	9	8	using	use	VERB
cana-4666	9	9	(	(	PUNCT
cana-4666	9	10	𝑮′	𝑮′	PROPN
cana-4666	9	11	𝑮	𝑮	PROPN
cana-4666	9	12	)	)	PUNCT
cana-4666	9	13	–	–	PUNCT
cana-4666	9	14	expansion	expansion	NOUN
cana-4666	9	15	method	method	NOUN
cana-4666	9	16	.	.	PUNCT
cana-4666	10	1	the	the	DET
cana-4666	10	2	wave	wave	NOUN
cana-4666	10	3	solutions	solution	NOUN
cana-4666	10	4	and	and	CCONJ
cana-4666	10	5	series	series	NOUN
cana-4666	10	6	solutions	solution	NOUN
cana-4666	10	7	of	of	ADP
cana-4666	10	8	kdv	kdv	NOUN
cana-4666	10	9	nonlinear	nonlinear	ADJ
cana-4666	10	10	fractional	fractional	ADJ
cana-4666	10	11	partial	partial	ADJ
cana-4666	10	12	differential	differential	NOUN
cana-4666	10	13	equation	equation	NOUN
cana-4666	10	14	has	have	AUX
cana-4666	10	15	been	be	AUX
cana-4666	10	16	evaluated	evaluate	VERB
cana-4666	10	17	and	and	CCONJ
cana-4666	10	18	in	in	ADP
cana-4666	10	19	the	the	DET
cana-4666	10	20	form	form	NOUN
cana-4666	10	21	of	of	ADP
cana-4666	10	22	rational	rational	ADJ
cana-4666	10	23	and	and	CCONJ
cana-4666	10	24	exponential	exponential	NOUN
cana-4666	10	25	.	.	PUNCT
cana-4666	11	1	all	all	DET
cana-4666	11	2	the	the	DET
cana-4666	11	3	calculations	calculation	NOUN
cana-4666	11	4	have	have	AUX
cana-4666	11	5	done	do	VERB
cana-4666	11	6	in	in	ADP
cana-4666	11	7	maple	maple	NOUN
cana-4666	11	8	.	.	PUNCT
cana-4666	12	1	communications	communication	NOUN
cana-4666	12	2	on	on	ADP
cana-4666	12	3	applied	apply	VERB
cana-4666	12	4	nonlinear	nonlinear	ADJ
cana-4666	12	5	analysis	analysis	NOUN
cana-4666	12	6	issn	issn	NOUN
cana-4666	12	7	:	:	PUNCT
cana-4666	12	8	1074	1074	NUM
cana-4666	12	9	-	-	PUNCT
cana-4666	12	10	133x	133x	NUM
cana-4666	12	11	vol	vol	VERB
cana-4666	12	12	32	32	NUM
cana-4666	12	13	no	no	NOUN
cana-4666	12	14	.	.	PUNCT
cana-4666	13	1	10s	10	NOUN
cana-4666	13	2	(	(	PUNCT
cana-4666	13	3	2025	2025	NUM
cana-4666	13	4	)	)	PUNCT
cana-4666	13	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	13	6	102	102	NUM
cana-4666	13	7	article	article	NOUN
cana-4666	13	8	history	history	NOUN
cana-4666	13	9	:	:	PUNCT
cana-4666	13	10	received	receive	VERB
cana-4666	13	11	:	:	PUNCT
cana-4666	13	12	12	12	NUM
cana-4666	13	13	-	-	SYM
cana-4666	13	14	01	01	NUM
cana-4666	13	15	-	-	PUNCT
cana-4666	13	16	2025	2025	NUM
cana-4666	13	17	,	,	PUNCT
cana-4666	13	18	revised	revise	VERB
cana-4666	13	19	:	:	PUNCT
cana-4666	13	20	15	15	NUM
cana-4666	13	21	-	-	NUM
cana-4666	13	22	02	02	NUM
cana-4666	13	23	-	-	PUNCT
cana-4666	13	24	2025	2025	NUM
cana-4666	13	25	,	,	PUNCT
cana-4666	13	26	accepted	accept	VERB
cana-4666	13	27	:	:	PUNCT
cana-4666	13	28	01	01	NUM
cana-4666	13	29	-	-	SYM
cana-4666	13	30	03	03	NUM
cana-4666	13	31	-	-	PUNCT
cana-4666	13	32	2025	2025	NUM
cana-4666	13	33	mailto:gakharmitu@gmail.com	mailto:gakharmitu@gmail.com	X
cana-4666	13	34	to	to	PART
cana-4666	13	35	solve	solve	VERB
cana-4666	13	36	fpdes	fpde	NOUN
cana-4666	13	37	,	,	PUNCT
cana-4666	13	38	a	a	DET
cana-4666	13	39	number	number	NOUN
cana-4666	13	40	of	of	ADP
cana-4666	13	41	techniques	technique	NOUN
cana-4666	13	42	have	have	AUX
cana-4666	13	43	been	be	AUX
cana-4666	13	44	used	use	VERB
cana-4666	13	45	,	,	PUNCT
cana-4666	13	46	e.g.	e.g.	ADV
cana-4666	13	47	,	,	PUNCT
cana-4666	13	48	elzaki	elzaki	VERB
cana-4666	13	49	transform	transform	VERB
cana-4666	13	50	decomposition	decomposition	NOUN
cana-4666	13	51	method	method	NOUN
cana-4666	14	1	[	[	X
cana-4666	14	2	2	2	NUM
cana-4666	14	3	]	]	PUNCT
cana-4666	14	4	,	,	PUNCT
cana-4666	14	5	laplace	laplace	NOUN
cana-4666	14	6	transforms	transform	VERB
cana-4666	14	7	approach	approach	NOUN
cana-4666	14	8	[	[	X
cana-4666	14	9	3	3	NUM
cana-4666	14	10	]	]	PUNCT
cana-4666	14	11	,	,	PUNCT
cana-4666	14	12	and	and	CCONJ
cana-4666	14	13	adomian	adomian	NOUN
cana-4666	14	14	's	's	PART
cana-4666	14	15	decomposition	decomposition	NOUN
cana-4666	14	16	technique	technique	NOUN
cana-4666	14	17	[	[	X
cana-4666	14	18	4	4	NUM
cana-4666	14	19	]	]	PUNCT
cana-4666	14	20	furthermore	furthermore	ADV
cana-4666	14	21	.	.	PUNCT
cana-4666	15	1	there	there	PRON
cana-4666	15	2	are	be	VERB
cana-4666	15	3	various	various	ADJ
cana-4666	15	4	techniques	technique	NOUN
cana-4666	15	5	to	to	PART
cana-4666	15	6	analyze	analyze	VERB
cana-4666	15	7	the	the	DET
cana-4666	15	8	nlpdes	nlpde	NOUN
cana-4666	15	9	but	but	CCONJ
cana-4666	15	10	lie	lie	NOUN
cana-4666	15	11	group	group	NOUN
cana-4666	15	12	of	of	ADP
cana-4666	15	13	symmetry	symmetry	NOUN
cana-4666	15	14	is	be	AUX
cana-4666	15	15	one	one	NUM
cana-4666	15	16	of	of	ADP
cana-4666	15	17	the	the	DET
cana-4666	15	18	approaches	approach	NOUN
cana-4666	15	19	for	for	ADP
cana-4666	15	20	deducing	deduce	VERB
cana-4666	15	21	the	the	DET
cana-4666	15	22	solution	solution	NOUN
cana-4666	15	23	of	of	ADP
cana-4666	15	24	nlpdes	nlpde	NOUN
cana-4666	15	25	.	.	PUNCT
cana-4666	16	1	lie	lie	NOUN
cana-4666	16	2	symmetries	symmetries	PROPN
cana-4666	16	3	studies	study	NOUN
cana-4666	16	4	differential	differential	ADJ
cana-4666	16	5	equation	equation	NOUN
cana-4666	16	6	invariance	invariance	NOUN
cana-4666	16	7	under	under	ADP
cana-4666	16	8	a	a	DET
cana-4666	16	9	oneparameter	oneparameter	NOUN
cana-4666	16	10	group	group	NOUN
cana-4666	16	11	transformations	transformation	NOUN
cana-4666	16	12	that	that	PRON
cana-4666	16	13	turn	turn	VERB
cana-4666	16	14	into	into	ADP
cana-4666	16	15	a	a	DET
cana-4666	16	16	new	new	ADJ
cana-4666	16	17	solution	solution	NOUN
cana-4666	16	18	and	and	CCONJ
cana-4666	16	19	minimize	minimize	VERB
cana-4666	16	20	the	the	DET
cana-4666	16	21	order	order	NOUN
cana-4666	16	22	of	of	ADP
cana-4666	16	23	differential	differential	ADJ
cana-4666	16	24	equation	equation	NOUN
cana-4666	16	25	.	.	PUNCT
cana-4666	17	1	lie	lie	NOUN
cana-4666	17	2	developed	develop	VERB
cana-4666	17	3	the	the	DET
cana-4666	17	4	theory	theory	NOUN
cana-4666	17	5	of	of	ADP
cana-4666	17	6	one	one	NUM
cana-4666	17	7	parameter	parameter	NOUN
cana-4666	17	8	group	group	NOUN
cana-4666	17	9	of	of	ADP
cana-4666	17	10	transformation	transformation	NOUN
cana-4666	17	11	in	in	ADP
cana-4666	17	12	17th	17th	ADJ
cana-4666	17	13	century	century	NOUN
cana-4666	17	14	which	which	PRON
cana-4666	17	15	applied	apply	VERB
cana-4666	17	16	for	for	ADP
cana-4666	17	17	findings	finding	NOUN
cana-4666	17	18	the	the	DET
cana-4666	17	19	solution	solution	NOUN
cana-4666	17	20	of	of	ADP
cana-4666	17	21	partial	partial	ADJ
cana-4666	17	22	differential	differential	ADJ
cana-4666	17	23	equations	equation	NOUN
cana-4666	17	24	(	(	PUNCT
cana-4666	17	25	pdes	pde	NOUN
cana-4666	17	26	)	)	PUNCT
cana-4666	17	27	.	.	PUNCT
cana-4666	18	1	later	later	ADV
cana-4666	18	2	on	on	ADV
cana-4666	18	3	,	,	PUNCT
cana-4666	18	4	many	many	ADJ
cana-4666	18	5	contributors	contributor	NOUN
cana-4666	18	6	like	like	ADP
cana-4666	18	7	bluman	bluman	NOUN
cana-4666	18	8	[	[	X
cana-4666	18	9	6	6	NUM
cana-4666	18	10	]	]	PUNCT
cana-4666	18	11	,	,	PUNCT
cana-4666	18	12	birkoff	birkoff	PUNCT
cana-4666	19	1	[	[	X
cana-4666	19	2	5	5	NUM
cana-4666	19	3	]	]	PUNCT
cana-4666	19	4	and	and	CCONJ
cana-4666	19	5	olver	olver	NOUN
cana-4666	19	6	[	[	X
cana-4666	19	7	7	7	NUM
cana-4666	19	8	]	]	SYM
cana-4666	19	9	et	et	NOUN
cana-4666	19	10	.	.	PUNCT
cana-4666	20	1	al	al	PROPN
cana-4666	20	2	.	.	PUNCT
cana-4666	21	1	many	many	ADJ
cana-4666	21	2	researchers	researcher	NOUN
cana-4666	21	3	developed	develop	VERB
cana-4666	21	4	different	different	ADJ
cana-4666	21	5	methods	method	NOUN
cana-4666	21	6	[	[	X
cana-4666	21	7	8	8	NUM
cana-4666	21	8	]	]	PUNCT
cana-4666	21	9	for	for	ADP
cana-4666	21	10	finding	find	VERB
cana-4666	21	11	exact	exact	ADJ
cana-4666	21	12	solution	solution	NOUN
cana-4666	21	13	of	of	ADP
cana-4666	21	14	nlpdes	nlpde	NOUN
cana-4666	21	15	,	,	PUNCT
cana-4666	21	16	such	such	ADJ
cana-4666	21	17	as	as	ADP
cana-4666	21	18	tanh	tanh	PROPN
cana-4666	21	19	method	method	NOUN
cana-4666	21	20	[	[	X
cana-4666	21	21	9	9	NUM
cana-4666	21	22	]	]	PUNCT
cana-4666	21	23	,	,	PUNCT
cana-4666	21	24	the	the	DET
cana-4666	21	25	hyperbolic	hyperbolic	ADJ
cana-4666	21	26	b	b	NOUN
cana-4666	21	27	-	-	PUNCT
cana-4666	21	28	spline	spline	ADJ
cana-4666	21	29	differential	differential	ADJ
cana-4666	21	30	quadrature	quadrature	NOUN
cana-4666	21	31	method	method	NOUN
cana-4666	21	32	[	[	X
cana-4666	21	33	10	10	NUM
cana-4666	21	34	]	]	PUNCT
cana-4666	21	35	and	and	CCONJ
cana-4666	21	36	new	new	ADJ
cana-4666	21	37	extended	extend	VERB
cana-4666	21	38	(	(	PUNCT
cana-4666	21	39	𝐺′	𝐺′	INTJ
cana-4666	21	40	𝐺	𝐺	NOUN
cana-4666	21	41	)	)	PUNCT
cana-4666	21	42	method	method	NOUN
cana-4666	21	43	[	[	X
cana-4666	21	44	11	11	NUM
cana-4666	21	45	]	]	PUNCT
cana-4666	21	46	,	,	PUNCT
cana-4666	21	47	etc	etc	X
cana-4666	21	48	.	.	X
cana-4666	21	49	1.2	1.2	NUM
cana-4666	21	50	review	review	NOUN
cana-4666	21	51	of	of	ADP
cana-4666	21	52	related	related	ADJ
cana-4666	21	53	work	work	NOUN
cana-4666	21	54	:	:	PUNCT
cana-4666	21	55	korteweg	korteweg	NOUN
cana-4666	21	56	-	-	PUNCT
cana-4666	21	57	de	de	PROPN
cana-4666	21	58	vries	vries	PROPN
cana-4666	21	59	(	(	PUNCT
cana-4666	21	60	kdv	kdv	NOUN
cana-4666	21	61	)	)	PUNCT
cana-4666	21	62	equation	equation	NOUN
cana-4666	21	63	is	be	AUX
cana-4666	21	64	the	the	DET
cana-4666	21	65	generalized	generalized	ADJ
cana-4666	21	66	form	form	NOUN
cana-4666	21	67	of	of	ADP
cana-4666	21	68	fractional	fractional	ADJ
cana-4666	21	69	pdes	pde	NOUN
cana-4666	21	70	.	.	PUNCT
cana-4666	22	1	kdv	kdv	NOUN
cana-4666	22	2	equations	equation	NOUN
cana-4666	22	3	can	can	AUX
cana-4666	22	4	be	be	AUX
cana-4666	22	5	utilized	utilize	VERB
cana-4666	22	6	for	for	ADP
cana-4666	22	7	predicting	predict	VERB
cana-4666	22	8	solitary	solitary	ADJ
cana-4666	22	9	waves	wave	NOUN
cana-4666	22	10	,	,	PUNCT
cana-4666	22	11	long	long	ADJ
cana-4666	22	12	waves	wave	NOUN
cana-4666	22	13	,	,	PUNCT
cana-4666	22	14	tides	tide	NOUN
cana-4666	22	15	and	and	CCONJ
cana-4666	22	16	wave	wave	NOUN
cana-4666	22	17	propagation	propagation	NOUN
cana-4666	22	18	in	in	ADP
cana-4666	22	19	a	a	DET
cana-4666	22	20	shallow	shallow	ADJ
cana-4666	22	21	canal	canal	NOUN
cana-4666	23	1	[	[	X
cana-4666	23	2	12	12	NUM
cana-4666	23	3	-	-	SYM
cana-4666	23	4	16	16	NUM
cana-4666	23	5	]	]	PUNCT
cana-4666	23	6	.	.	PUNCT
cana-4666	24	1	fluid	fluid	ADJ
cana-4666	24	2	mechanics	mechanic	NOUN
cana-4666	24	3	[	[	X
cana-4666	24	4	17	17	NUM
cana-4666	24	5	]	]	PUNCT
cana-4666	24	6	,	,	PUNCT
cana-4666	24	7	viscoelasticity	viscoelasticity	NOUN
cana-4666	24	8	,	,	PUNCT
cana-4666	24	9	signal	signal	NOUN
cana-4666	24	10	processing	processing	NOUN
cana-4666	24	11	,	,	PUNCT
cana-4666	24	12	fractional	fractional	ADJ
cana-4666	24	13	kinetics	kinetic	NOUN
cana-4666	24	14	and	and	CCONJ
cana-4666	24	15	hydrology	hydrology	NOUN
cana-4666	24	16	are	be	AUX
cana-4666	24	17	among	among	ADP
cana-4666	24	18	some	some	PRON
cana-4666	24	19	of	of	ADP
cana-4666	24	20	the	the	DET
cana-4666	24	21	disciplines	discipline	NOUN
cana-4666	24	22	that	that	PRON
cana-4666	24	23	use	use	VERB
cana-4666	24	24	the	the	DET
cana-4666	24	25	kdv	kdv	NOUN
cana-4666	24	26	equations	equation	NOUN
cana-4666	24	27	.	.	PUNCT
cana-4666	25	1	j.	j.	PROPN
cana-4666	25	2	s.	s.	PROPN
cana-4666	25	3	russell	russell	PROPN
cana-4666	25	4	's	's	PART
cana-4666	25	5	(	(	PUNCT
cana-4666	25	6	1834	1834	NUM
cana-4666	25	7	)	)	PUNCT
cana-4666	25	8	provided	provide	VERB
cana-4666	25	9	the	the	DET
cana-4666	25	10	concept	concept	NOUN
cana-4666	25	11	of	of	ADP
cana-4666	25	12	kdv	kdv	NOUN
cana-4666	25	13	equations	equation	NOUN
cana-4666	25	14	.	.	PUNCT
cana-4666	26	1	however	however	ADV
cana-4666	26	2	,	,	PUNCT
cana-4666	26	3	the	the	DET
cana-4666	26	4	equation	equation	NOUN
cana-4666	26	5	is	be	AUX
cana-4666	26	6	developed	develop	VERB
cana-4666	26	7	by	by	ADP
cana-4666	26	8	lord	lord	PROPN
cana-4666	26	9	rayleigh	rayleigh	PROPN
cana-4666	26	10	,	,	PUNCT
cana-4666	26	11	joseph	joseph	PROPN
cana-4666	26	12	boussinesq	boussinesq	PROPN
cana-4666	26	13	(	(	PUNCT
cana-4666	26	14	1870	1870	NUM
cana-4666	26	15	)	)	PUNCT
cana-4666	26	16	and	and	CCONJ
cana-4666	26	17	kdv	kdv	NOUN
cana-4666	26	18	(	(	PUNCT
cana-4666	26	19	1895	1895	NUM
cana-4666	26	20	)	)	PUNCT
cana-4666	26	21	.	.	PUNCT
cana-4666	27	1	the	the	DET
cana-4666	27	2	numerical	numerical	ADJ
cana-4666	27	3	and	and	CCONJ
cana-4666	27	4	exact	exact	ADJ
cana-4666	27	5	solitary	solitary	ADJ
cana-4666	27	6	wave	wave	NOUN
cana-4666	27	7	solutions	solution	NOUN
cana-4666	27	8	of	of	ADP
cana-4666	27	9	the	the	DET
cana-4666	27	10	generalized	generalized	ADJ
cana-4666	27	11	long	long	ADJ
cana-4666	27	12	wave	wave	NOUN
cana-4666	27	13	and	and	CCONJ
cana-4666	27	14	kdv	kdv	NOUN
cana-4666	27	15	equation	equation	NOUN
cana-4666	27	16	has	have	AUX
cana-4666	27	17	obtained	obtain	VERB
cana-4666	27	18	by	by	ADP
cana-4666	27	19	d.	d.	PROPN
cana-4666	27	20	kaya	kaya	PROPN
cana-4666	27	21	and	and	CCONJ
cana-4666	27	22	s.	s.	PROPN
cana-4666	27	23	m.	m.	PROPN
cana-4666	27	24	el	el	PROPN
cana-4666	27	25	sayad	sayad	PROPN
cana-4666	28	1	[	[	X
cana-4666	28	2	18	18	NUM
cana-4666	28	3	]	]	PUNCT
cana-4666	28	4	for	for	ADP
cana-4666	28	5	the	the	DET
cana-4666	28	6	initial	initial	ADJ
cana-4666	28	7	conditions	condition	NOUN
cana-4666	28	8	.	.	PUNCT
cana-4666	29	1	d.	d.	PROPN
cana-4666	29	2	d.	d.	PROPN
cana-4666	29	3	bhatta	bhatta	PROPN
cana-4666	29	4	and	and	CCONJ
cana-4666	29	5	m.	m.	PROPN
cana-4666	29	6	i.	i.	PROPN
cana-4666	29	7	bhatti	bhatti	PROPN
cana-4666	30	1	[	[	X
cana-4666	30	2	19	19	NUM
cana-4666	30	3	]	]	PUNCT
cana-4666	30	4	presented	present	VERB
cana-4666	30	5	an	an	DET
cana-4666	30	6	algorithm	algorithm	NOUN
cana-4666	30	7	for	for	ADP
cana-4666	30	8	numerical	numerical	ADJ
cana-4666	30	9	solutions	solution	NOUN
cana-4666	30	10	of	of	ADP
cana-4666	30	11	kdv	kdv	NOUN
cana-4666	30	12	equation	equation	NOUN
cana-4666	30	13	on	on	ADP
cana-4666	30	14	reformed	reformed	PROPN
cana-4666	30	15	bernstein	bernstein	PROPN
cana-4666	30	16	polynomials	polynomials	PROPN
cana-4666	30	17	.	.	PUNCT
cana-4666	31	1	communications	communication	NOUN
cana-4666	31	2	on	on	ADP
cana-4666	31	3	applied	apply	VERB
cana-4666	31	4	nonlinear	nonlinear	ADJ
cana-4666	31	5	analysis	analysis	NOUN
cana-4666	31	6	issn	issn	NOUN
cana-4666	31	7	:	:	PUNCT
cana-4666	31	8	1074	1074	NUM
cana-4666	31	9	-	-	PUNCT
cana-4666	31	10	133x	133x	NUM
cana-4666	31	11	vol	vol	VERB
cana-4666	31	12	32	32	NUM
cana-4666	31	13	no	no	NOUN
cana-4666	31	14	.	.	PUNCT
cana-4666	32	1	10s	10	NOUN
cana-4666	32	2	(	(	PUNCT
cana-4666	32	3	2025	2025	NUM
cana-4666	32	4	)	)	PUNCT
cana-4666	32	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	32	6	103	103	NUM
cana-4666	32	7	a.	a.	NOUN
cana-4666	32	8	r.	r.	PROPN
cana-4666	32	9	seadawy	seadawy	PROPN
cana-4666	33	1	[	[	X
cana-4666	33	2	20	20	NUM
cana-4666	33	3	]	]	PUNCT
cana-4666	33	4	studied	study	VERB
cana-4666	33	5	the	the	DET
cana-4666	33	6	exact	exact	ADJ
cana-4666	33	7	solution	solution	NOUN
cana-4666	33	8	for	for	ADP
cana-4666	33	9	the	the	DET
cana-4666	33	10	kdv	kdv	NOUN
cana-4666	33	11	equation	equation	NOUN
cana-4666	33	12	of	of	ADP
cana-4666	33	13	higher	high	ADJ
cana-4666	33	14	order	order	NOUN
cana-4666	33	15	non	non	ADJ
cana-4666	33	16	-	-	NOUN
cana-4666	33	17	linearity	linearity	NOUN
cana-4666	33	18	by	by	ADP
cana-4666	33	19	using	use	VERB
cana-4666	33	20	the	the	DET
cana-4666	33	21	variational	variational	ADJ
cana-4666	33	22	technique	technique	NOUN
cana-4666	33	23	.	.	PUNCT
cana-4666	34	1	exact	exact	ADJ
cana-4666	34	2	solutions	solution	NOUN
cana-4666	34	3	of	of	ADP
cana-4666	34	4	kdv	kdv	NOUN
cana-4666	34	5	equation	equation	NOUN
cana-4666	34	6	of	of	ADP
cana-4666	34	7	higher	high	ADJ
cana-4666	34	8	order	order	NOUN
cana-4666	34	9	non	non	ADJ
cana-4666	34	10	-	-	ADJ
cana-4666	34	11	linearity	linearity	ADJ
cana-4666	34	12	are	be	AUX
cana-4666	34	13	determined	determine	VERB
cana-4666	34	14	for	for	ADP
cana-4666	34	15	utilizing	utilize	VERB
cana-4666	34	16	the	the	DET
cana-4666	34	17	variational	variational	ADJ
cana-4666	34	18	principle	principle	NOUN
cana-4666	34	19	method	method	NOUN
cana-4666	34	20	without	without	ADP
cana-4666	34	21	requiring	require	VERB
cana-4666	34	22	for	for	ADP
cana-4666	34	23	significant	significant	ADJ
cana-4666	34	24	calculations	calculation	NOUN
cana-4666	34	25	.	.	PUNCT
cana-4666	35	1	a.	a.	PROPN
cana-4666	35	2	r.	r.	PROPN
cana-4666	35	3	seadawy	seadawy	PROPN
cana-4666	35	4	,	,	PUNCT
cana-4666	35	5	d.	d.	PROPN
cana-4666	35	6	lu	lu	PROPN
cana-4666	35	7	and	and	CCONJ
cana-4666	35	8	c.	c.	PROPN
cana-4666	35	9	yue	yue	PROPN
cana-4666	35	10	studied	study	VERB
cana-4666	35	11	fifth	fifth	ADJ
cana-4666	35	12	-	-	PUNCT
cana-4666	35	13	order	order	NOUN
cana-4666	35	14	generalized	generalize	VERB
cana-4666	35	15	kdv	kdv	NOUN
cana-4666	35	16	equations	equation	NOUN
cana-4666	36	1	[	[	X
cana-4666	36	2	21	21	NUM
cana-4666	36	3	]	]	PUNCT
cana-4666	36	4	on	on	ADP
cana-4666	36	5	water	water	NOUN
cana-4666	36	6	wave	wave	NOUN
cana-4666	36	7	equations	equation	NOUN
cana-4666	36	8	.	.	PUNCT
cana-4666	37	1	g.	g.	PROPN
cana-4666	37	2	wang	wang	PROPN
cana-4666	37	3	obtained	obtain	VERB
cana-4666	37	4	series	series	NOUN
cana-4666	37	5	solution	solution	NOUN
cana-4666	37	6	and	and	CCONJ
cana-4666	37	7	invariant	invariant	ADJ
cana-4666	37	8	solutions	solution	NOUN
cana-4666	37	9	of	of	ADP
cana-4666	37	10	kdv	kdv	NOUN
cana-4666	37	11	–	–	PUNCT
cana-4666	37	12	burgers	burger	NOUN
cana-4666	37	13	–	–	PUNCT
cana-4666	37	14	kuramoto	kuramoto	NOUN
cana-4666	37	15	generalized	generalize	VERB
cana-4666	37	16	equation	equation	NOUN
cana-4666	37	17	and	and	CCONJ
cana-4666	37	18	deduced	deduce	VERB
cana-4666	37	19	invariants	invariant	NOUN
cana-4666	37	20	and	and	CCONJ
cana-4666	37	21	invariant	invariant	ADJ
cana-4666	37	22	solutions	solution	NOUN
cana-4666	37	23	based	base	VERB
cana-4666	37	24	on	on	ADP
cana-4666	37	25	the	the	DET
cana-4666	37	26	lie	lie	NOUN
cana-4666	37	27	point	point	NOUN
cana-4666	37	28	symmetries	symmetry	NOUN
cana-4666	37	29	[	[	X
cana-4666	37	30	22	22	NUM
cana-4666	37	31	]	]	PUNCT
cana-4666	37	32	.	.	PUNCT
cana-4666	38	1	a.	a.	PROPN
cana-4666	38	2	a.	a.	PROPN
cana-4666	38	3	alderremy	alderremy	PROPN
cana-4666	38	4	,	,	PUNCT
cana-4666	38	5	a.	a.	NOUN
cana-4666	38	6	shaban	shaban	PROPN
cana-4666	38	7	,	,	PUNCT
cana-4666	38	8	et.al	et.al	PROPN
cana-4666	38	9	.	.	PUNCT
cana-4666	39	1	[	[	X
cana-4666	39	2	23	23	NUM
cana-4666	39	3	]	]	PUNCT
cana-4666	39	4	investigated	investigate	VERB
cana-4666	39	5	third	third	ADJ
cana-4666	39	6	order	order	NOUN
cana-4666	39	7	kdv	kdv	NOUN
cana-4666	39	8	equations	equation	NOUN
cana-4666	39	9	and	and	CCONJ
cana-4666	39	10	coupled	couple	VERB
cana-4666	39	11	burgers	burger	NOUN
cana-4666	39	12	equations	equation	NOUN
cana-4666	39	13	with	with	ADP
cana-4666	39	14	the	the	DET
cana-4666	39	15	help	help	NOUN
cana-4666	39	16	of	of	ADP
cana-4666	39	17	two	two	NUM
cana-4666	39	18	methods	method	NOUN
cana-4666	39	19	.	.	PUNCT
cana-4666	40	1	h.	h.	PROPN
cana-4666	40	2	rezazadeh	rezazadeh	PROPN
cana-4666	40	3	,	,	PUNCT
cana-4666	40	4	a.	a.	NOUN
cana-4666	40	5	g.	g.	PROPN
cana-4666	40	6	davodi	davodi	PROPN
cana-4666	40	7	,	,	PUNCT
cana-4666	40	8	et.al	et.al	PROPN
cana-4666	40	9	.	.	PUNCT
cana-4666	41	1	[	[	X
cana-4666	41	2	24	24	NUM
cana-4666	41	3	]	]	PUNCT
cana-4666	41	4	applied	apply	VERB
cana-4666	41	5	the	the	DET
cana-4666	41	6	(	(	PUNCT
cana-4666	41	7	𝑮′	𝑮′	PROPN
cana-4666	41	8	𝑮	𝑮	PROPN
cana-4666	41	9	)	)	PUNCT
cana-4666	41	10	expansion	expansion	NOUN
cana-4666	41	11	technique	technique	NOUN
cana-4666	41	12	for	for	ADP
cana-4666	41	13	traveling	travel	VERB
cana-4666	41	14	wave	wave	NOUN
cana-4666	41	15	solutions	solution	NOUN
cana-4666	41	16	of	of	ADP
cana-4666	41	17	the	the	DET
cana-4666	41	18	schrödinger	schrödinger	ADJ
cana-4666	41	19	-	-	PUNCT
cana-4666	41	20	kdv	kdv	NOUN
cana-4666	41	21	equations	equation	NOUN
cana-4666	41	22	by	by	ADP
cana-4666	41	23	the	the	DET
cana-4666	41	24	conformable	conformable	ADJ
cana-4666	41	25	derivative	derivative	NOUN
cana-4666	41	26	.	.	PUNCT
cana-4666	42	1	1.3	1.3	NUM
cana-4666	42	2	motivation	motivation	NOUN
cana-4666	42	3	of	of	ADP
cana-4666	42	4	study	study	NOUN
cana-4666	42	5	in	in	ADP
cana-4666	42	6	the	the	DET
cana-4666	42	7	above	above	ADV
cana-4666	42	8	related	related	ADJ
cana-4666	42	9	work	work	NOUN
cana-4666	42	10	we	we	PRON
cana-4666	42	11	observed	observe	VERB
cana-4666	42	12	that	that	SCONJ
cana-4666	42	13	the	the	DET
cana-4666	42	14	solution	solution	NOUN
cana-4666	42	15	of	of	ADP
cana-4666	42	16	kdv	kdv	NOUN
cana-4666	42	17	equation	equation	NOUN
cana-4666	42	18	solved	solve	VERB
cana-4666	42	19	by	by	ADP
cana-4666	42	20	the	the	DET
cana-4666	42	21	theory	theory	NOUN
cana-4666	42	22	of	of	ADP
cana-4666	42	23	riemann	riemann	PROPN
cana-4666	42	24	–	–	PUNCT
cana-4666	42	25	liouville	liouville	VERB
cana-4666	42	26	.	.	PUNCT
cana-4666	43	1	this	this	DET
cana-4666	43	2	theory	theory	NOUN
cana-4666	43	3	has	have	VERB
cana-4666	43	4	limitation	limitation	NOUN
cana-4666	43	5	that	that	PRON
cana-4666	43	6	can	can	AUX
cana-4666	43	7	not	not	PART
cana-4666	43	8	obtain	obtain	VERB
cana-4666	43	9	the	the	DET
cana-4666	43	10	traveling	travel	VERB
cana-4666	43	11	wave	wave	NOUN
cana-4666	43	12	solutions	solution	NOUN
cana-4666	43	13	.	.	PUNCT
cana-4666	44	1	fractional	fractional	ADJ
cana-4666	44	2	derivatives	derivative	NOUN
cana-4666	44	3	have	have	AUX
cana-4666	44	4	changed	change	VERB
cana-4666	44	5	as	as	ADP
cana-4666	44	6	a	a	DET
cana-4666	44	7	result	result	NOUN
cana-4666	44	8	of	of	ADP
cana-4666	44	9	the	the	DET
cana-4666	44	10	use	use	NOUN
cana-4666	44	11	of	of	ADP
cana-4666	44	12	conformable	conformable	ADJ
cana-4666	44	13	fractional	fractional	ADJ
cana-4666	44	14	derivatives	derivative	NOUN
cana-4666	44	15	[	[	X
cana-4666	44	16	26	26	NUM
cana-4666	44	17	]	]	PUNCT
cana-4666	44	18	by	by	ADP
cana-4666	44	19	khalil	khalil	PROPN
cana-4666	44	20	et.al	et.al	PROPN
cana-4666	44	21	.	.	PUNCT
cana-4666	45	1	to	to	PART
cana-4666	45	2	identify	identify	VERB
cana-4666	45	3	lie	lie	NOUN
cana-4666	45	4	symmetries	symmetry	NOUN
cana-4666	45	5	in	in	ADP
cana-4666	45	6	differential	differential	ADJ
cana-4666	45	7	equations	equation	NOUN
cana-4666	45	8	.	.	PUNCT
cana-4666	46	1	in	in	ADP
cana-4666	46	2	this	this	DET
cana-4666	46	3	paper	paper	NOUN
cana-4666	46	4	,	,	PUNCT
cana-4666	46	5	by	by	ADP
cana-4666	46	6	conformable	conformable	ADJ
cana-4666	46	7	fractional	fractional	ADJ
cana-4666	46	8	derivatives	derivative	NOUN
cana-4666	46	9	[	[	X
cana-4666	46	10	32	32	NUM
cana-4666	46	11	-	-	SYM
cana-4666	46	12	37	37	NUM
cana-4666	46	13	]	]	PUNCT
cana-4666	46	14	we	we	PRON
cana-4666	46	15	will	will	AUX
cana-4666	46	16	find	find	VERB
cana-4666	46	17	lie	lie	NOUN
cana-4666	46	18	symmetry	symmetry	NOUN
cana-4666	46	19	of	of	ADP
cana-4666	46	20	kdv	kdv	NOUN
cana-4666	46	21	equation	equation	NOUN
cana-4666	46	22	.	.	PUNCT
cana-4666	47	1	the	the	DET
cana-4666	47	2	generalized	generalized	ADJ
cana-4666	47	3	pth	pth	NOUN
cana-4666	47	4	order	order	NOUN
cana-4666	47	5	kdv	kdv	X
cana-4666	47	6	nonlinear	nonlinear	ADJ
cana-4666	47	7	fractional	fractional	ADJ
cana-4666	47	8	partial	partial	ADJ
cana-4666	47	9	differential	differential	NOUN
cana-4666	47	10	equation	equation	NOUN
cana-4666	47	11	:	:	PUNCT
cana-4666	47	12	𝑢𝑡	𝑢𝑡	NOUN
cana-4666	47	13	𝛼	𝛼	INTJ
cana-4666	47	14	−	−	NOUN
cana-4666	47	15	𝑢𝑥𝑥	𝑢𝑥𝑥	NOUN
cana-4666	47	16	−	−	PROPN
cana-4666	48	1	𝐴𝑢	𝐴𝑢	PROPN
cana-4666	48	2	𝑝𝑢𝑥	𝑝𝑢𝑥	NOUN
cana-4666	48	3	=	=	SYM
cana-4666	48	4	0	0	NUM
cana-4666	48	5	,	,	PUNCT
cana-4666	48	6	0	0	NUM
cana-4666	48	7	<	<	X
cana-4666	48	8	𝛼	𝛼	X
cana-4666	48	9	≤	≤	NUM
cana-4666	48	10	1	1	NUM
cana-4666	48	11	,	,	PUNCT
cana-4666	48	12	𝑝	𝑝	NOUN
cana-4666	48	13	>	>	X
cana-4666	48	14	0	0	NUM
cana-4666	48	15	…	…	PUNCT
cana-4666	48	16	…	…	PUNCT
cana-4666	48	17	…	…	PUNCT
cana-4666	48	18	…	…	SYM
cana-4666	48	19	……	……	NOUN
cana-4666	48	20	.	.	PUNCT
cana-4666	49	1	(	(	PUNCT
cana-4666	49	2	1	1	X
cana-4666	49	3	)	)	PUNCT
cana-4666	49	4	and	and	CCONJ
cana-4666	49	5	𝑢𝑡	𝑢𝑡	NOUN
cana-4666	49	6	𝛼	𝛼	NOUN
cana-4666	49	7	is	be	AUX
cana-4666	49	8	the	the	DET
cana-4666	49	9	conformable	conformable	ADJ
cana-4666	49	10	fractional	fractional	ADJ
cana-4666	49	11	derivative	derivative	ADJ
cana-4666	50	1	[	[	X
cana-4666	50	2	38	38	NUM
cana-4666	50	3	-	-	SYM
cana-4666	50	4	39	39	NUM
cana-4666	50	5	]	]	PUNCT
cana-4666	50	6	.	.	PUNCT
cana-4666	51	1	communications	communication	NOUN
cana-4666	51	2	on	on	ADP
cana-4666	51	3	applied	apply	VERB
cana-4666	51	4	nonlinear	nonlinear	ADJ
cana-4666	51	5	analysis	analysis	NOUN
cana-4666	51	6	issn	issn	NOUN
cana-4666	51	7	:	:	PUNCT
cana-4666	51	8	1074	1074	NUM
cana-4666	51	9	-	-	PUNCT
cana-4666	51	10	133x	133x	NUM
cana-4666	51	11	vol	vol	VERB
cana-4666	51	12	32	32	NUM
cana-4666	51	13	no	no	NOUN
cana-4666	51	14	.	.	PUNCT
cana-4666	52	1	10s	10	NOUN
cana-4666	52	2	(	(	PUNCT
cana-4666	52	3	2025	2025	NUM
cana-4666	52	4	)	)	PUNCT
cana-4666	53	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	53	2	104	104	NUM
cana-4666	53	3	objective	objective	NOUN
cana-4666	53	4	of	of	ADP
cana-4666	53	5	the	the	DET
cana-4666	53	6	study	study	NOUN
cana-4666	53	7	:	:	PUNCT
cana-4666	53	8	a.	a.	NOUN
cana-4666	53	9	to	to	PART
cana-4666	53	10	find	find	VERB
cana-4666	53	11	the	the	DET
cana-4666	53	12	lie	lie	NOUN
cana-4666	53	13	symmetry	symmetry	NOUN
cana-4666	53	14	of	of	ADP
cana-4666	53	15	kdv	kdv	NOUN
cana-4666	53	16	nlfpdes	nlfpde	VERB
cana-4666	53	17	.	.	PUNCT
cana-4666	54	1	b.	b.	VERB
cana-4666	54	2	to	to	PART
cana-4666	54	3	find	find	VERB
cana-4666	54	4	series	series	NOUN
cana-4666	54	5	solution	solution	NOUN
cana-4666	54	6	of	of	ADP
cana-4666	54	7	the	the	DET
cana-4666	54	8	problem	problem	NOUN
cana-4666	54	9	.	.	PUNCT
cana-4666	55	1	c.	c.	NOUN
cana-4666	55	2	to	to	PART
cana-4666	55	3	apply	apply	VERB
cana-4666	55	4	the	the	DET
cana-4666	55	5	(	(	PUNCT
cana-4666	55	6	𝑮′	𝑮′	PROPN
cana-4666	55	7	𝑮	𝑮	PROPN
cana-4666	55	8	)	)	PUNCT
cana-4666	55	9	expansion	expansion	NOUN
cana-4666	55	10	approach	approach	NOUN
cana-4666	55	11	to	to	PART
cana-4666	55	12	determine	determine	VERB
cana-4666	55	13	the	the	DET
cana-4666	55	14	wave	wave	NOUN
cana-4666	55	15	solution	solution	NOUN
cana-4666	55	16	.	.	PUNCT
cana-4666	56	1	this	this	DET
cana-4666	56	2	paper	paper	NOUN
cana-4666	56	3	divides	divide	VERB
cana-4666	56	4	in	in	ADP
cana-4666	56	5	following	follow	VERB
cana-4666	56	6	sections	section	NOUN
cana-4666	56	7	:	:	PUNCT
cana-4666	56	8	section	section	NOUN
cana-4666	56	9	2	2	NUM
cana-4666	56	10	,	,	PUNCT
cana-4666	56	11	preliminaries	preliminary	NOUN
cana-4666	56	12	are	be	AUX
cana-4666	56	13	described	describe	VERB
cana-4666	56	14	.	.	PUNCT
cana-4666	57	1	section3	section3	ADV
cana-4666	57	2	,	,	PUNCT
cana-4666	57	3	analysis	analysis	NOUN
cana-4666	57	4	of	of	ADP
cana-4666	57	5	nlfpdes	nlfpde	NOUN
cana-4666	57	6	by	by	ADP
cana-4666	57	7	lie	lie	NOUN
cana-4666	57	8	symmetry	symmetry	NOUN
cana-4666	57	9	.	.	PUNCT
cana-4666	58	1	section	section	NOUN
cana-4666	58	2	4	4	NUM
cana-4666	58	3	,	,	PUNCT
cana-4666	58	4	includes	include	VERB
cana-4666	58	5	the	the	DET
cana-4666	58	6	description	description	NOUN
cana-4666	58	7	of	of	ADP
cana-4666	58	8	(	(	PUNCT
cana-4666	58	9	𝐺′	𝐺′	PROPN
cana-4666	58	10	𝐺	𝐺	NOUN
cana-4666	58	11	)	)	PUNCT
cana-4666	58	12	expansion	expansion	NOUN
cana-4666	58	13	method	method	NOUN
cana-4666	58	14	.	.	PUNCT
cana-4666	59	1	section	section	NOUN
cana-4666	59	2	5	5	NUM
cana-4666	59	3	,	,	PUNCT
cana-4666	59	4	symmetry	symmetry	NOUN
cana-4666	59	5	analysis	analysis	NOUN
cana-4666	59	6	of	of	ADP
cana-4666	59	7	kdv	kdv	NOUN
cana-4666	59	8	nlfpdes	nlfpde	NOUN
cana-4666	59	9	.	.	PUNCT
cana-4666	60	1	section	section	NOUN
cana-4666	60	2	6	6	NUM
cana-4666	60	3	,	,	PUNCT
cana-4666	60	4	findings	finding	NOUN
cana-4666	60	5	of	of	ADP
cana-4666	60	6	series	series	NOUN
cana-4666	60	7	solution	solution	NOUN
cana-4666	60	8	of	of	ADP
cana-4666	60	9	kdv	kdv	NOUN
cana-4666	60	10	equation	equation	NOUN
cana-4666	60	11	section	section	NOUN
cana-4666	60	12	7	7	NUM
cana-4666	60	13	,	,	PUNCT
cana-4666	60	14	exact	exact	ADJ
cana-4666	60	15	traveling	traveling	ADJ
cana-4666	60	16	wave	wave	NOUN
cana-4666	60	17	solution	solution	NOUN
cana-4666	60	18	of	of	ADP
cana-4666	60	19	fractional	fractional	ADJ
cana-4666	60	20	kdv	kdv	NOUN
cana-4666	60	21	equation	equation	NOUN
cana-4666	60	22	is	be	AUX
cana-4666	60	23	provided	provide	VERB
cana-4666	60	24	in	in	ADP
cana-4666	60	25	trigonometric	trigonometric	ADJ
cana-4666	60	26	form	form	NOUN
cana-4666	60	27	.	.	PUNCT
cana-4666	61	1	at	at	ADP
cana-4666	61	2	last	last	ADJ
cana-4666	61	3	,	,	PUNCT
cana-4666	61	4	the	the	DET
cana-4666	61	5	brief	brief	NOUN
cana-4666	61	6	of	of	ADP
cana-4666	61	7	the	the	DET
cana-4666	61	8	research	research	NOUN
cana-4666	61	9	work	work	NOUN
cana-4666	61	10	is	be	AUX
cana-4666	61	11	recorded	record	VERB
cana-4666	61	12	in	in	ADP
cana-4666	61	13	the	the	DET
cana-4666	61	14	section	section	NOUN
cana-4666	61	15	8	8	NUM
cana-4666	61	16	.	.	NOUN
cana-4666	62	1	2	2	NUM
cana-4666	62	2	.	.	X
cana-4666	62	3	preliminaries	preliminary	NOUN
cana-4666	62	4	:	:	PUNCT
cana-4666	62	5	2.1	2.1	NUM
cana-4666	62	6	conformable	conformable	ADJ
cana-4666	62	7	derivative	derivative	ADJ
cana-4666	62	8	and	and	CCONJ
cana-4666	62	9	conformable	conformable	ADJ
cana-4666	62	10	fractional	fractional	ADJ
cana-4666	62	11	derivatives	derivative	NOUN
cana-4666	62	12	:	:	PUNCT
cana-4666	62	13	if	if	SCONJ
cana-4666	62	14	function	function	VERB
cana-4666	62	15	ƭ	ƭ	NOUN
cana-4666	62	16	:	:	PUNCT
cana-4666	63	1	[	[	X
cana-4666	63	2	0,∞	0,∞	NUM
cana-4666	63	3	)	)	PUNCT
cana-4666	63	4	→	→	PUNCT
cana-4666	63	5	𝑅	𝑅	PROPN
cana-4666	63	6	then	then	ADV
cana-4666	63	7	conformable	conformable	ADJ
cana-4666	63	8	fractional	fractional	ADJ
cana-4666	63	9	derivative	derivative	NOUN
cana-4666	63	10	[	[	X
cana-4666	63	11	7	7	NUM
cana-4666	63	12	]	]	PUNCT
cana-4666	63	13	is	be	AUX
cana-4666	63	14	defined	define	VERB
cana-4666	63	15	by	by	ADP
cana-4666	63	16	:	:	PUNCT
cana-4666	63	17	𝑇𝛼	𝑇𝛼	NOUN
cana-4666	63	18	(	(	PUNCT
cana-4666	63	19	ƭ)(ŧ	ƭ)(ŧ	PROPN
cana-4666	63	20	)	)	PUNCT
cana-4666	63	21	=	=	SYM
cana-4666	63	22	lim	lim	PROPN
cana-4666	63	23	𝜖→0	𝜖→0	PUNCT
cana-4666	63	24	ƭ(ŧ	ƭ(ŧ	VERB
cana-4666	63	25	+	+	CCONJ
cana-4666	63	26	𝜖ŧ1−𝛼	𝜖ŧ1−𝛼	NOUN
cana-4666	63	27	)	)	PUNCT
cana-4666	63	28	−	−	PROPN
cana-4666	63	29	ƭ(ŧ	ƭ(ŧ	NOUN
cana-4666	63	30	)	)	PUNCT
cana-4666	63	31	𝜖	𝜖	PROPN
cana-4666	63	32	for	for	ADP
cana-4666	63	33	all	all	PRON
cana-4666	63	34	ŧ	ŧ	DET
cana-4666	63	35	˃	˃	NOUN
cana-4666	63	36	0,∈	0,∈	X
cana-4666	63	37	(	(	PUNCT
cana-4666	63	38	0,1	0,1	NUM
cana-4666	63	39	)	)	PUNCT
cana-4666	63	40	,	,	PUNCT
cana-4666	63	41	if	if	SCONJ
cana-4666	63	42	ƭ	ƭ	NOUN
cana-4666	63	43	is	be	AUX
cana-4666	63	44	𝛼	𝛼	PRON
cana-4666	63	45	-differentiable	-differentiable	ADJ
cana-4666	63	46	in	in	ADP
cana-4666	63	47	some	some	DET
cana-4666	63	48	(	(	PUNCT
cana-4666	63	49	0	0	NUM
cana-4666	63	50	,	,	PUNCT
cana-4666	63	51	𝛼	𝛼	NOUN
cana-4666	63	52	)	)	PUNCT
cana-4666	63	53	,	,	PUNCT
cana-4666	63	54	a	a	DET
cana-4666	63	55	>	>	SYM
cana-4666	63	56	0	0	NUM
cana-4666	63	57	and	and	CCONJ
cana-4666	63	58	lim	lim	PROPN
cana-4666	63	59	𝑡→∞	𝑡→∞	NUM
cana-4666	63	60	ƭ𝛼(𝑡	ƭ𝛼(𝑡	ADV
cana-4666	63	61	)	)	PUNCT
cana-4666	63	62	occurs	occur	VERB
cana-4666	63	63	,	,	PUNCT
cana-4666	63	64	then	then	ADV
cana-4666	63	65	define	define	VERB
cana-4666	63	66	ƭ𝛼	ƭ𝛼	PROPN
cana-4666	63	67	(	(	PUNCT
cana-4666	63	68	0	0	NUM
cana-4666	63	69	)	)	PUNCT
cana-4666	64	1	=	=	NOUN
cana-4666	64	2	lim	lim	PROPN
cana-4666	64	3	𝑡→0	𝑡→0	PROPN
cana-4666	64	4	ƭ𝛼	ƭ𝛼	PROPN
cana-4666	64	5	(	(	PUNCT
cana-4666	64	6	ŧ	ŧ	NOUN
cana-4666	64	7	)	)	PUNCT
cana-4666	64	8	.	.	PUNCT
cana-4666	65	1	we	we	PRON
cana-4666	65	2	generally	generally	ADV
cana-4666	65	3	use	use	VERB
cana-4666	65	4	ƭ𝛼(ŧ	ƭ𝛼(ŧ	NOUN
cana-4666	65	5	)	)	PUNCT
cana-4666	65	6	for	for	SCONJ
cana-4666	65	7	𝑇𝛼	𝑇𝛼	PROPN
cana-4666	65	8	(	(	PUNCT
cana-4666	65	9	ƭ)(ŧ	ƭ)(ŧ	PROPN
cana-4666	65	10	)	)	PUNCT
cana-4666	65	11	to	to	PART
cana-4666	65	12	represent	represent	VERB
cana-4666	65	13	conformable	conformable	ADJ
cana-4666	65	14	fractional	fractional	ADJ
cana-4666	65	15	derivatives	derivative	NOUN
cana-4666	65	16	and	and	CCONJ
cana-4666	65	17	consideration	consideration	NOUN
cana-4666	65	18	that	that	SCONJ
cana-4666	65	19	𝑇𝛼	𝑇𝛼	NOUN
cana-4666	65	20	(	(	PUNCT
cana-4666	65	21	ŧ	ŧ	X
cana-4666	65	22	𝑝	𝑝	NOUN
cana-4666	65	23	)	)	PUNCT
cana-4666	65	24	=	=	SYM
cana-4666	65	25	𝑝ŧ𝑝−𝛼	𝑝ŧ𝑝−𝛼	PROPN
cana-4666	65	26	.	.	PUNCT
cana-4666	66	1	communications	communication	NOUN
cana-4666	66	2	on	on	ADP
cana-4666	66	3	applied	apply	VERB
cana-4666	66	4	nonlinear	nonlinear	ADJ
cana-4666	66	5	analysis	analysis	NOUN
cana-4666	66	6	issn	issn	NOUN
cana-4666	66	7	:	:	PUNCT
cana-4666	66	8	1074	1074	NUM
cana-4666	66	9	-	-	PUNCT
cana-4666	66	10	133x	133x	NUM
cana-4666	66	11	vol	vol	VERB
cana-4666	66	12	32	32	NUM
cana-4666	66	13	no	no	NOUN
cana-4666	66	14	.	.	PUNCT
cana-4666	67	1	10s	10	NOUN
cana-4666	67	2	(	(	PUNCT
cana-4666	67	3	2025	2025	NUM
cana-4666	67	4	)	)	PUNCT
cana-4666	68	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	68	2	105	105	NUM
cana-4666	68	3	2.2	2.2	NUM
cana-4666	68	4	conformable	conformable	ADJ
cana-4666	68	5	fractional	fractional	ADJ
cana-4666	68	6	derivative	derivative	NOUN
cana-4666	68	7	:	:	PUNCT
cana-4666	68	8	a	a	DET
cana-4666	68	9	conformable	conformable	ADJ
cana-4666	68	10	fractional	fractional	ADJ
cana-4666	68	11	derivative	derivative	NOUN
cana-4666	68	12	,	,	PUNCT
cana-4666	68	13	ƭ	ƭ	NOUN
cana-4666	68	14	of	of	ADP
cana-4666	68	15	order	order	NOUN
cana-4666	68	16	𝛼	𝛼	NOUN
cana-4666	68	17	with	with	ADP
cana-4666	68	18	respect	respect	NOUN
cana-4666	68	19	to	to	PART
cana-4666	68	20	function	function	VERB
cana-4666	68	21	ƭ	ƭ	NOUN
cana-4666	68	22	:	:	PUNCT
cana-4666	68	23	[	[	X
cana-4666	68	24	0,∞	0,∞	NUM
cana-4666	68	25	)	)	PUNCT
cana-4666	68	26	→	→	SYM
cana-4666	68	27	𝑅	𝑅	PROPN
cana-4666	68	28	defined	define	VERB
cana-4666	68	29	as	as	ADP
cana-4666	68	30	𝐷𝛼ƭ(𝑥	𝐷𝛼ƭ(𝑥	NOUN
cana-4666	68	31	)	)	PUNCT
cana-4666	68	32	=	=	SYM
cana-4666	68	33	lim	lim	PROPN
cana-4666	68	34	ℎ→0	ℎ→0	X
cana-4666	68	35	ƭ(𝑥+ℎ𝑒(𝛼−1)𝑥)−ƭ(𝑥	ƭ(𝑥+ℎ𝑒(𝛼−1)𝑥)−ƭ(𝑥	PUNCT
cana-4666	68	36	)	)	PUNCT
cana-4666	68	37	ℎ	ℎ	NOUN
cana-4666	68	38	where	where	SCONJ
cana-4666	68	39	𝑥	𝑥	PRON
cana-4666	68	40	>	>	X
cana-4666	68	41	0	0	NUM
cana-4666	68	42	,	,	PUNCT
cana-4666	68	43	𝛼	𝛼	PROPN
cana-4666	68	44	∈	∈	PROPN
cana-4666	68	45	(	(	PUNCT
cana-4666	68	46	0,1	0,1	NUM
cana-4666	68	47	)	)	PUNCT
cana-4666	68	48	,	,	PUNCT
cana-4666	68	49	f	f	PROPN
cana-4666	68	50	is	be	AUX
cana-4666	68	51	𝛼	𝛼	NOUN
cana-4666	68	52	–	–	PUNCT
cana-4666	68	53	differentiable	differentiable	ADJ
cana-4666	68	54	in	in	ADP
cana-4666	68	55	(	(	PUNCT
cana-4666	68	56	0	0	NUM
cana-4666	68	57	,	,	PUNCT
cana-4666	68	58	𝛼	𝛼	NOUN
cana-4666	68	59	)	)	PUNCT
cana-4666	68	60	,	,	PUNCT
cana-4666	68	61	and	and	CCONJ
cana-4666	68	62	lim	lim	PROPN
cana-4666	68	63	𝑥→0	𝑥→0	PROPN
cana-4666	68	64	+	+	PROPN
cana-4666	68	65	𝐷𝛼ƭ	𝐷𝛼ƭ	PROPN
cana-4666	68	66	(	(	PUNCT
cana-4666	68	67	𝑥	𝑥	NOUN
cana-4666	68	68	)	)	PUNCT
cana-4666	68	69	exists	exist	VERB
cana-4666	68	70	and	and	CCONJ
cana-4666	68	71	(	(	PUNCT
cana-4666	68	72	𝐷𝛼ƭ)(0	𝐷𝛼ƭ)(0	PROPN
cana-4666	68	73	)	)	PUNCT
cana-4666	69	1	=	=	PROPN
cana-4666	69	2	lim	lim	PROPN
cana-4666	69	3	𝑥→0	𝑥→0	PROPN
cana-4666	69	4	+	+	PROPN
cana-4666	69	5	(	(	PUNCT
cana-4666	69	6	𝐷𝛼ƭ)(𝑥	𝐷𝛼ƭ)(𝑥	NOUN
cana-4666	69	7	)	)	PUNCT
cana-4666	69	8	.	.	PUNCT
cana-4666	70	1	based	base	VERB
cana-4666	70	2	on	on	ADP
cana-4666	70	3	the	the	DET
cana-4666	70	4	product	product	NOUN
cana-4666	70	5	rule	rule	NOUN
cana-4666	70	6	and	and	CCONJ
cana-4666	70	7	quotient	quotient	NOUN
cana-4666	70	8	rule	rule	NOUN
cana-4666	70	9	,	,	PUNCT
cana-4666	70	10	conformable	conformable	ADJ
cana-4666	70	11	derivative	derivative	NOUN
cana-4666	70	12	[	[	X
cana-4666	70	13	7	7	NUM
cana-4666	70	14	]	]	PUNCT
cana-4666	70	15	yields	yield	NOUN
cana-4666	70	16	conclusion	conclusion	NOUN
cana-4666	70	17	which	which	PRON
cana-4666	70	18	is	be	AUX
cana-4666	70	19	similar	similar	ADJ
cana-4666	70	20	to	to	ADP
cana-4666	70	21	the	the	DET
cana-4666	70	22	mean	mean	ADJ
cana-4666	70	23	value	value	NOUN
cana-4666	70	24	theorem	theorem	NOUN
cana-4666	70	25	and	and	CCONJ
cana-4666	70	26	rolle	rolle	NOUN
cana-4666	70	27	's	's	PART
cana-4666	70	28	theorem	theorem	NOUN
cana-4666	70	29	.	.	PROPN
cana-4666	71	1	3	3	X
cana-4666	71	2	.	.	X
cana-4666	71	3	analysis	analysis	NOUN
cana-4666	71	4	of	of	ADP
cana-4666	71	5	nlfpdes	nlfpde	NOUN
cana-4666	71	6	by	by	ADP
cana-4666	71	7	lie	lie	NOUN
cana-4666	71	8	symmetry	symmetry	NOUN
cana-4666	71	9	:	:	PUNCT
cana-4666	71	10	the	the	DET
cana-4666	71	11	time	time	NOUN
cana-4666	71	12	-	-	PUNCT
cana-4666	71	13	fractional	fractional	ADJ
cana-4666	71	14	partial	partial	ADJ
cana-4666	71	15	differential	differential	NOUN
cana-4666	71	16	equation	equation	NOUN
cana-4666	71	17	is	be	AUX
cana-4666	71	18	𝜕𝛼𝑤	𝜕𝛼𝑤	PUNCT
cana-4666	71	19	𝜕𝑡𝛼	𝜕𝑡𝛼	PUNCT
cana-4666	72	1	=	=	SYM
cana-4666	72	2	h	h	NOUN
cana-4666	73	1	[	[	X
cana-4666	73	2	𝑤	𝑤	X
cana-4666	73	3	]	]	X
cana-4666	73	4	,	,	PUNCT
cana-4666	73	5	0	0	PUNCT
cana-4666	73	6	<	<	X
cana-4666	73	7	𝛼	𝛼	X
cana-4666	73	8	≤	≤	NUM
cana-4666	73	9	1	1	NUM
cana-4666	73	10	…	…	SYM
cana-4666	73	11	…	…	PUNCT
cana-4666	73	12	…	…	PUNCT
cana-4666	73	13	…	…	PUNCT
cana-4666	73	14	.	.	NUM
cana-4666	73	15	,	,	PUNCT
cana-4666	73	16	(	(	PUNCT
cana-4666	73	17	2	2	X
cana-4666	73	18	)	)	PUNCT
cana-4666	73	19	where	where	SCONJ
cana-4666	73	20	𝑤	𝑤	ADP
cana-4666	73	21	=	=	SYM
cana-4666	73	22	𝑤	𝑤	PART
cana-4666	73	23	(	(	PUNCT
cana-4666	73	24	x	x	NOUN
cana-4666	73	25	,	,	PUNCT
cana-4666	73	26	t	t	PROPN
cana-4666	73	27	)	)	PUNCT
cana-4666	73	28	,	,	PUNCT
cana-4666	73	29	non	non	ADJ
cana-4666	73	30	-	-	ADJ
cana-4666	73	31	linear	linear	ADJ
cana-4666	73	32	differential	differential	NOUN
cana-4666	73	33	operator	operator	NOUN
cana-4666	73	34	is	be	AUX
cana-4666	73	35	h	h	NOUN
cana-4666	74	1	[	[	X
cana-4666	74	2	𝑤	𝑤	X
cana-4666	74	3	]	]	PUNCT
cana-4666	74	4	and	and	CCONJ
cana-4666	74	5	conformable	conformable	ADJ
cana-4666	74	6	fractional	fractional	ADJ
cana-4666	74	7	derivative	derivative	NOUN
cana-4666	74	8	is	be	AUX
cana-4666	74	9	(	(	PUNCT
cana-4666	74	10	𝜕𝛼	𝜕𝛼	NOUN
cana-4666	74	11	𝜕𝑡𝛼	𝜕𝑡𝛼	NUM
cana-4666	74	12	)	)	PUNCT
cana-4666	74	13	.	.	PUNCT
cana-4666	75	1	now	now	ADV
cana-4666	75	2	,	,	PUNCT
cana-4666	75	3	we	we	PRON
cana-4666	75	4	analyze	analyze	VERB
cana-4666	75	5	symmetry	symmetry	NOUN
cana-4666	75	6	transformation	transformation	NOUN
cana-4666	75	7	of	of	ADP
cana-4666	75	8	equation	equation	NOUN
cana-4666	75	9	(	(	PUNCT
cana-4666	75	10	2	2	NUM
cana-4666	75	11	)	)	PUNCT
cana-4666	75	12	,	,	PUNCT
cana-4666	75	13	take	take	VERB
cana-4666	75	14	invertible	invertible	ADJ
cana-4666	75	15	point	point	NOUN
cana-4666	75	16	transformations	transformation	NOUN
cana-4666	76	1	𝑥	𝑥	NOUN
cana-4666	76	2	=	=	SYM
cana-4666	76	3	x	x	SYM
cana-4666	76	4	(	(	PUNCT
cana-4666	76	5	x	x	X
cana-4666	76	6	,	,	PUNCT
cana-4666	76	7	t	t	PROPN
cana-4666	76	8	,	,	PUNCT
cana-4666	76	9	𝑤,𝜀	𝑤,𝜀	NOUN
cana-4666	76	10	)	)	PUNCT
cana-4666	76	11	,	,	PUNCT
cana-4666	76	12	𝑡	𝑡	PROPN
cana-4666	76	13	̌	̌	PROPN
cana-4666	76	14	=	=	SYM
cana-4666	76	15	t	t	PROPN
cana-4666	76	16	(	(	PUNCT
cana-4666	76	17	x	x	PROPN
cana-4666	76	18	,	,	PUNCT
cana-4666	76	19	t	t	PROPN
cana-4666	76	20	,	,	PUNCT
cana-4666	76	21	𝑤,𝜀	𝑤,𝜀	NOUN
cana-4666	76	22	)	)	PUNCT
cana-4666	76	23	,	,	PUNCT
cana-4666	76	24	�	�	PROPN
cana-4666	76	25	̌	̌	NUM
cana-4666	76	26	�	�	PROPN
cana-4666	76	27	=	=	SYM
cana-4666	76	28	w	w	PROPN
cana-4666	76	29	(	(	PUNCT
cana-4666	76	30	x	x	PROPN
cana-4666	76	31	,	,	PUNCT
cana-4666	76	32	t	t	PROPN
cana-4666	76	33	,	,	PUNCT
cana-4666	76	34	𝑤,𝜀	𝑤,𝜀	NOUN
cana-4666	76	35	)	)	PUNCT
cana-4666	76	36	…	…	PUNCT
cana-4666	76	37	…	…	PUNCT
cana-4666	76	38	…	…	PUNCT
cana-4666	76	39	..	..	PUNCT
cana-4666	76	40	,	,	PUNCT
cana-4666	76	41	(	(	PUNCT
cana-4666	76	42	3	3	X
cana-4666	76	43	)	)	PUNCT
cana-4666	76	44	based	base	VERB
cana-4666	76	45	on	on	ADP
cana-4666	76	46	a	a	DET
cana-4666	76	47	continuous	continuous	ADJ
cana-4666	76	48	parameter	parameter	NOUN
cana-4666	76	49	𝜀	𝜀	NOUN
cana-4666	76	50	and	and	CCONJ
cana-4666	76	51	eq	eq	NOUN
cana-4666	76	52	.	.	PUNCT
cana-4666	77	1	(	(	PUNCT
cana-4666	77	2	1	1	X
cana-4666	77	3	)	)	PUNCT
cana-4666	77	4	that	that	PRON
cana-4666	77	5	have	have	VERB
cana-4666	77	6	the	the	DET
cana-4666	77	7	same	same	ADJ
cana-4666	77	8	form	form	NOUN
cana-4666	77	9	in	in	ADP
cana-4666	77	10	the	the	DET
cana-4666	77	11	new	new	ADJ
cana-4666	77	12	variable	variable	NOUN
cana-4666	77	13	𝑥,̌	𝑥,̌	CCONJ
cana-4666	77	14	𝑡,̌	𝑡,̌	PRON
cana-4666	77	15	�	�	PROPN
cana-4666	77	16	̌	̌	PRON
cana-4666	77	17	�	�	NOUN
cana-4666	77	18	are	be	AUX
cana-4666	77	19	said	say	VERB
cana-4666	77	20	to	to	PART
cana-4666	77	21	be	be	AUX
cana-4666	77	22	symmetry	symmetry	NOUN
cana-4666	77	23	transformation	transformation	NOUN
cana-4666	77	24	.	.	PUNCT
cana-4666	78	1	the	the	DET
cana-4666	78	2	symmetry	symmetry	NOUN
cana-4666	78	3	group	group	NOUN
cana-4666	78	4	is	be	AUX
cana-4666	78	5	a	a	DET
cana-4666	78	6	continuous	continuous	ADJ
cana-4666	78	7	group	group	NOUN
cana-4666	78	8	made	make	VERB
cana-4666	78	9	up	up	ADP
cana-4666	78	10	of	of	ADP
cana-4666	78	11	h	h	NOUN
cana-4666	78	12	*	*	NOUN
cana-4666	78	13	transformations	transformation	NOUN
cana-4666	78	14	.	.	PUNCT
cana-4666	79	1	the	the	DET
cana-4666	79	2	lie	lie	NOUN
cana-4666	79	3	group	group	NOUN
cana-4666	79	4	is	be	AUX
cana-4666	79	5	another	another	DET
cana-4666	79	6	name	name	NOUN
cana-4666	79	7	of	of	ADP
cana-4666	79	8	the	the	DET
cana-4666	79	9	symmetry	symmetry	NOUN
cana-4666	79	10	group	group	NOUN
cana-4666	79	11	h	h	PROPN
cana-4666	79	12	*	*	PROPN
cana-4666	79	13	.	.	PUNCT
cana-4666	80	1	the	the	DET
cana-4666	80	2	key	key	ADJ
cana-4666	80	3	point	point	NOUN
cana-4666	80	4	in	in	ADP
cana-4666	80	5	lie	lie	NOUN
cana-4666	80	6	group	group	NOUN
cana-4666	80	7	of	of	ADP
cana-4666	80	8	transformation	transformation	NOUN
cana-4666	80	9	[	[	X
cana-4666	80	10	8	8	NUM
cana-4666	80	11	]	]	PUNCT
cana-4666	80	12	is	be	AUX
cana-4666	80	13	to	to	PART
cana-4666	80	14	deduced	deduce	VERB
cana-4666	80	15	infinitesimal	infinitesimal	ADJ
cana-4666	80	16	generator	generator	NOUN
cana-4666	81	1	[	[	X
cana-4666	81	2	9	9	NUM
cana-4666	81	3	]	]	PUNCT
cana-4666	81	4	and	and	CCONJ
cana-4666	81	5	determining	determine	VERB
cana-4666	81	6	equations	equation	NOUN
cana-4666	81	7	.	.	PUNCT
cana-4666	82	1	infinitesimal	infinitesimal	ADJ
cana-4666	82	2	transformation	transformation	NOUN
cana-4666	82	3	of	of	ADP
cana-4666	82	4	(	(	PUNCT
cana-4666	82	5	3	3	X
cana-4666	82	6	)	)	PUNCT
cana-4666	82	7	be	be	AUX
cana-4666	82	8	𝑥	𝑥	NOUN
cana-4666	82	9	=	=	PUNCT
cana-4666	82	10	𝑥	𝑥	PROPN
cana-4666	82	11	+	+	PUNCT
cana-4666	82	12	𝜀𝜉(𝑥	𝜀𝜉(𝑥	X
cana-4666	82	13	,	,	PUNCT
cana-4666	82	14	𝑡	𝑡	PROPN
cana-4666	82	15	,	,	PUNCT
cana-4666	82	16	𝑤	𝑤	ADP
cana-4666	82	17	)	)	PUNCT
cana-4666	82	18	+	+	CCONJ
cana-4666	82	19	𝑜(𝜀2	𝑜(𝜀2	ADJ
cana-4666	82	20	)	)	PUNCT
cana-4666	82	21	,	,	PUNCT
cana-4666	82	22	𝑡	𝑡	X
cana-4666	82	23	̌	̌	PRON
cana-4666	82	24	=	=	SYM
cana-4666	82	25	𝑡	𝑡	PROPN
cana-4666	82	26	+	+	X
cana-4666	82	27	𝜀𝜏(𝑥	𝜀𝜏(𝑥	NOUN
cana-4666	82	28	,	,	PUNCT
cana-4666	82	29	𝑡	𝑡	X
cana-4666	82	30	,	,	PUNCT
cana-4666	82	31	𝑤	𝑤	ADP
cana-4666	82	32	)	)	PUNCT
cana-4666	82	33	+	+	CCONJ
cana-4666	82	34	𝑜(𝜀2	𝑜(𝜀2	ADJ
cana-4666	82	35	)	)	PUNCT
cana-4666	82	36	,	,	PUNCT
cana-4666	82	37	(	(	PUNCT
cana-4666	82	38	4	4	X
cana-4666	82	39	)	)	PUNCT
cana-4666	82	40	�	�	PROPN
cana-4666	82	41	̌	̌	NUM
cana-4666	82	42	�	�	NOUN
cana-4666	82	43	=	=	SYM
cana-4666	82	44	𝑤	𝑤	PROPN
cana-4666	82	45	+	+	NUM
cana-4666	82	46	𝜀𝜂(𝑥	𝜀𝜂(𝑥	NOUN
cana-4666	82	47	,	,	PUNCT
cana-4666	82	48	𝑡	𝑡	X
cana-4666	82	49	,	,	PUNCT
cana-4666	82	50	𝑤	𝑤	ADP
cana-4666	82	51	)	)	PUNCT
cana-4666	83	1	+	+	CCONJ
cana-4666	83	2	𝑜	𝑜	X
cana-4666	83	3	(	(	PUNCT
cana-4666	83	4	𝜀2	𝜀2	PROPN
cana-4666	83	5	)	)	PUNCT
cana-4666	83	6	,	,	PUNCT
cana-4666	83	7	w	w	NOUN
cana-4666	83	8	=	=	SYM
cana-4666	83	9	𝜉(𝑥	𝜉(𝑥	PROPN
cana-4666	83	10	,	,	PUNCT
cana-4666	83	11	𝑡	𝑡	NOUN
cana-4666	83	12	,	,	PUNCT
cana-4666	83	13	𝑤	𝑤	NOUN
cana-4666	83	14	)	)	PUNCT
cana-4666	83	15	𝜕	𝜕	PROPN
cana-4666	83	16	𝜕𝑥	𝜕𝑥	NOUN
cana-4666	83	17	+	+	CCONJ
cana-4666	83	18	𝜏(𝑥	𝜏(𝑥	PROPN
cana-4666	83	19	,	,	PUNCT
cana-4666	83	20	𝑡	𝑡	NOUN
cana-4666	83	21	,	,	PUNCT
cana-4666	83	22	𝑤	𝑤	ADP
cana-4666	83	23	)	)	PUNCT
cana-4666	83	24	𝜕	𝜕	PROPN
cana-4666	83	25	𝜕𝑡	𝜕𝑡	PROPN
cana-4666	83	26	+	+	PROPN
cana-4666	83	27	𝜂(𝑥	𝜂(𝑥	PROPN
cana-4666	83	28	,	,	PUNCT
cana-4666	83	29	𝑡	𝑡	PROPN
cana-4666	83	30	,	,	PUNCT
cana-4666	83	31	𝑤	𝑤	ADP
cana-4666	83	32	)	)	PUNCT
cana-4666	83	33	𝜕	𝜕	NOUN
cana-4666	83	34	𝜕𝑤	𝜕𝑤	NOUN
cana-4666	83	35	…	…	PUNCT
cana-4666	83	36	…	…	PUNCT
cana-4666	83	37	…	…	PUNCT
cana-4666	83	38	,	,	PUNCT
cana-4666	83	39	(	(	PUNCT
cana-4666	83	40	5	5	X
cana-4666	83	41	)	)	PUNCT
cana-4666	83	42	communications	communication	NOUN
cana-4666	83	43	on	on	ADP
cana-4666	83	44	applied	apply	VERB
cana-4666	83	45	nonlinear	nonlinear	ADJ
cana-4666	83	46	analysis	analysis	NOUN
cana-4666	83	47	issn	issn	NOUN
cana-4666	83	48	:	:	PUNCT
cana-4666	83	49	1074	1074	NUM
cana-4666	83	50	-	-	PUNCT
cana-4666	83	51	133x	133x	NUM
cana-4666	83	52	vol	vol	VERB
cana-4666	83	53	32	32	NUM
cana-4666	83	54	no	no	NOUN
cana-4666	83	55	.	.	PUNCT
cana-4666	84	1	10s	10	NOUN
cana-4666	84	2	(	(	PUNCT
cana-4666	84	3	2025	2025	NUM
cana-4666	84	4	)	)	PUNCT
cana-4666	84	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	84	6	106	106	NUM
cana-4666	84	7	here	here	ADV
cana-4666	84	8	,	,	PUNCT
cana-4666	84	9	w	w	PROPN
cana-4666	84	10	is	be	AUX
cana-4666	84	11	the	the	DET
cana-4666	84	12	infinitesimal	infinitesimal	ADJ
cana-4666	84	13	operator	operator	NOUN
cana-4666	84	14	.	.	PUNCT
cana-4666	85	1	𝑑𝑥	𝑑𝑥	ADP
cana-4666	85	2	̌	̌	PRON
cana-4666	85	3	𝑑𝜀	𝑑𝜀	NOUN
cana-4666	85	4	=	=	SYM
cana-4666	85	5	𝜉(𝑥	𝜉(𝑥	PROPN
cana-4666	85	6	,	,	PUNCT
cana-4666	85	7	𝑡,̌	𝑡,̌	X
cana-4666	85	8	�	�	PROPN
cana-4666	85	9	̌	̌	NUM
cana-4666	85	10	�	�	PROPN
cana-4666	85	11	)	)	PUNCT
cana-4666	85	12	,	,	PUNCT
cana-4666	85	13	𝑑𝑡,̌	𝑑𝑡,̌	NOUN
cana-4666	85	14	𝑑𝜀	𝑑𝜀	NOUN
cana-4666	85	15	=	=	PUNCT
cana-4666	85	16	𝜏(𝑥	𝜏(𝑥	NOUN
cana-4666	85	17	,	,	PUNCT
cana-4666	85	18	𝑡,̌	𝑡,̌	ADJ
cana-4666	85	19	�	�	PROPN
cana-4666	85	20	̌	̌	NUM
cana-4666	85	21	�	�	PROPN
cana-4666	85	22	)	)	PUNCT
cana-4666	85	23	,	,	PUNCT
cana-4666	85	24	𝑑	𝑑	PROPN
cana-4666	85	25	�	�	PROPN
cana-4666	85	26	̌	̌	PRON
cana-4666	85	27	�	�	NOUN
cana-4666	85	28	𝑑𝜀	𝑑𝜀	NOUN
cana-4666	85	29	=	=	SYM
cana-4666	85	30	𝜂(𝑥	𝜂(𝑥	PROPN
cana-4666	85	31	,	,	PUNCT
cana-4666	85	32	𝑡,̌	𝑡,̌	ADJ
cana-4666	85	33	�	�	PROPN
cana-4666	85	34	̌	̌	NUM
cana-4666	85	35	�	�	PROPN
cana-4666	85	36	)	)	PUNCT
cana-4666	85	37	can	can	AUX
cana-4666	85	38	be	be	AUX
cana-4666	85	39	computed	compute	VERB
cana-4666	85	40	to	to	PART
cana-4666	85	41	obtain	obtain	VERB
cana-4666	85	42	the	the	DET
cana-4666	85	43	group	group	NOUN
cana-4666	85	44	transformation	transformation	NOUN
cana-4666	85	45	(	(	PUNCT
cana-4666	85	46	3	3	X
cana-4666	85	47	)	)	PUNCT
cana-4666	85	48	relating	relate	VERB
cana-4666	85	49	to	to	ADP
cana-4666	85	50	operator	operator	NOUN
cana-4666	85	51	(	(	PUNCT
cana-4666	85	52	5	5	NUM
cana-4666	85	53	)	)	PUNCT
cana-4666	85	54	and	and	CCONJ
cana-4666	85	55	subject	subject	ADJ
cana-4666	85	56	to	to	ADP
cana-4666	85	57	initial	initial	ADJ
cana-4666	85	58	conditions	condition	NOUN
cana-4666	85	59	𝑥|𝜀=0	𝑥|𝜀=0	NOUN
cana-4666	85	60	=	=	SYM
cana-4666	85	61	𝑥	𝑥	NOUN
cana-4666	85	62	,	,	PUNCT
cana-4666	85	63	𝑡	𝑡	PROPN
cana-4666	85	64	̌|𝜀=0	̌|𝜀=0	NOUN
cana-4666	85	65	=	=	SYM
cana-4666	85	66	𝑡	𝑡	PROPN
cana-4666	85	67	,	,	PUNCT
cana-4666	85	68	�	�	PROPN
cana-4666	85	69	̌	̌	NUM
cana-4666	85	70	�	�	NOUN
cana-4666	85	71	|𝜀=0	|𝜀=0	NOUN
cana-4666	85	72	=	=	SYM
cana-4666	85	73	𝑤	𝑤	PART
cana-4666	85	74	…	…	PUNCT
cana-4666	85	75	…	…	PUNCT
cana-4666	85	76	.	.	NUM
cana-4666	85	77	,	,	PUNCT
cana-4666	85	78	(	(	PUNCT
cana-4666	85	79	6	6	X
cana-4666	85	80	)	)	PUNCT
cana-4666	85	81	a	a	DET
cana-4666	85	82	surface	surface	NOUN
cana-4666	85	83	𝑤	𝑤	ADP
cana-4666	85	84	=	=	SYM
cana-4666	85	85	𝑤	𝑤	PROPN
cana-4666	85	86	(	(	PUNCT
cana-4666	85	87	x	x	NOUN
cana-4666	85	88	,	,	PUNCT
cana-4666	85	89	t	t	PROPN
cana-4666	85	90	)	)	PUNCT
cana-4666	85	91	is	be	AUX
cana-4666	85	92	mapped	map	VERB
cana-4666	85	93	as	as	ADP
cana-4666	85	94	the	the	DET
cana-4666	85	95	group	group	NOUN
cana-4666	85	96	transformation	transformation	NOUN
cana-4666	85	97	,	,	PUNCT
cana-4666	85	98	generated	generate	VERB
cana-4666	85	99	by	by	ADP
cana-4666	85	100	w	w	PROPN
cana-4666	85	101	if	if	SCONJ
cana-4666	85	102	w	w	PROPN
cana-4666	85	103	(	(	PUNCT
cana-4666	85	104	𝑤	𝑤	PART
cana-4666	85	105	𝑤	𝑤	PART
cana-4666	85	106	(	(	PUNCT
cana-4666	85	107	x	x	NOUN
cana-4666	85	108	,	,	PUNCT
cana-4666	85	109	t	t	PROPN
cana-4666	85	110	)	)	PUNCT
cana-4666	85	111	)	)	PUNCT
cana-4666	86	1	=	=	PUNCT
cana-4666	86	2	0	0	PUNCT
cana-4666	86	3	when	when	SCONJ
cana-4666	86	4	𝑤	𝑤	ADP
cana-4666	86	5	=	=	SYM
cana-4666	86	6	𝑤	𝑤	PART
cana-4666	86	7	(	(	PUNCT
cana-4666	86	8	x	x	NOUN
cana-4666	86	9	,	,	PUNCT
cana-4666	86	10	t	t	PROPN
cana-4666	86	11	)	)	PUNCT
cana-4666	86	12	…	…	PUNCT
cana-4666	86	13	…	…	SYM
cana-4666	86	14	……	……	NOUN
cana-4666	86	15	,	,	PUNCT
cana-4666	86	16	(	(	PUNCT
cana-4666	86	17	7	7	X
cana-4666	86	18	)	)	PUNCT
cana-4666	86	19	here	here	ADV
cana-4666	86	20	,	,	PUNCT
cana-4666	86	21	�	�	PROPN
cana-4666	86	22	̌	̌	NUM
cana-4666	86	23	�	�	PROPN
cana-4666	86	24	(𝑥	(𝑥	NOUN
cana-4666	86	25	̌	̌	PROPN
cana-4666	86	26	,	,	PUNCT
cana-4666	86	27	𝑡	𝑡	X
cana-4666	86	28	̌	̌	ADV
cana-4666	86	29	)	)	PUNCT
cana-4666	86	30	satisfies	satisfie	NOUN
cana-4666	86	31	to	to	ADP
cana-4666	86	32	𝜕𝛼𝑤	𝜕𝛼𝑤	PRON
cana-4666	86	33	̌	̌	PROPN
cana-4666	86	34	𝜕	𝜕	PROPN
cana-4666	86	35	�	�	PROPN
cana-4666	86	36	̃	̃	PROPN
cana-4666	86	37	�	�	NOUN
cana-4666	86	38	𝛼	𝛼	NOUN
cana-4666	86	39	=	=	NOUN
cana-4666	86	40	h	h	PROPN
cana-4666	87	1	[	[	X
cana-4666	87	2	�	�	PROPN
cana-4666	87	3	̌	̌	NUM
cana-4666	87	4	�	�	PROPN
cana-4666	87	5	]	]	PUNCT
cana-4666	87	6	,	,	PUNCT
cana-4666	87	7	0<𝛼	0<𝛼	NUM
cana-4666	87	8	≤	≤	NUM
cana-4666	87	9	1	1	NUM
cana-4666	87	10	…	…	SYM
cana-4666	87	11	……	……	NOUN
cana-4666	87	12	.	.	PUNCT
cana-4666	87	13	,	,	PUNCT
cana-4666	87	14	(	(	PUNCT
cana-4666	87	15	8)	8)	NUM
cana-4666	87	16	as	as	ADP
cana-4666	87	17	the	the	DET
cana-4666	87	18	function	function	NOUN
cana-4666	87	19	𝑤	𝑤	ADP
cana-4666	87	20	=	=	SYM
cana-4666	87	21	𝑤	𝑤	PROPN
cana-4666	87	22	(	(	PUNCT
cana-4666	87	23	𝑥	𝑥	PROPN
cana-4666	87	24	,	,	PUNCT
cana-4666	87	25	t	t	PROPN
cana-4666	87	26	)	)	PUNCT
cana-4666	87	27	satisfies	satisfie	NOUN
cana-4666	87	28	eq	eq	ADJ
cana-4666	87	29	.	.	PUNCT
cana-4666	88	1	(	(	PUNCT
cana-4666	88	2	2	2	NUM
cana-4666	88	3	)	)	PUNCT
cana-4666	88	4	,	,	PUNCT
cana-4666	88	5	then	then	ADV
cana-4666	88	6	the	the	DET
cana-4666	88	7	transformation	transformation	NOUN
cana-4666	88	8	(	(	PUNCT
cana-4666	88	9	3	3	X
cana-4666	88	10	)	)	PUNCT
cana-4666	88	11	forms	form	VERB
cana-4666	88	12	a	a	DET
cana-4666	88	13	symmetry	symmetry	NOUN
cana-4666	88	14	group	group	NOUN
cana-4666	88	15	h	h	NOUN
cana-4666	88	16	of	of	ADP
cana-4666	88	17	eq	eq	PROPN
cana-4666	88	18	.	.	PUNCT
cana-4666	89	1	(	(	PUNCT
cana-4666	89	2	2	2	NUM
cana-4666	89	3	)	)	PUNCT
cana-4666	89	4	.	.	PUNCT
cana-4666	90	1	extended	extend	VERB
cana-4666	90	2	transformation	transformation	NOUN
cana-4666	90	3	(	(	PUNCT
cana-4666	90	4	4	4	NUM
cana-4666	90	5	)	)	PUNCT
cana-4666	90	6	of	of	ADP
cana-4666	90	7	fractional	fractional	ADJ
cana-4666	90	8	differentiation	differentiation	NOUN
cana-4666	90	9	𝜕𝛼𝑤	𝜕𝛼𝑤	PUNCT
cana-4666	90	10	𝜕𝑡𝛼	𝜕𝑡𝛼	PUNCT
cana-4666	90	11	and	and	CCONJ
cana-4666	90	12	operator	operator	NOUN
cana-4666	90	13	of	of	ADP
cana-4666	90	14	𝑥	𝑥	DET
cana-4666	90	15	differentiation	differentiation	NOUN
cana-4666	90	16	of	of	ADP
cana-4666	90	17	several	several	ADJ
cana-4666	90	18	order	order	NOUN
cana-4666	90	19	𝜕𝛼𝑤	𝜕𝛼𝑤	PUNCT
cana-4666	91	1	𝜕𝑥𝑘	𝜕𝑥𝑘	ADJ
cana-4666	91	2	,	,	PUNCT
cana-4666	91	3	k=1	k=1	X
cana-4666	91	4	,	,	PUNCT
cana-4666	91	5	2	2	NUM
cana-4666	91	6	,	,	PUNCT
cana-4666	91	7	3	3	NUM
cana-4666	91	8	,	,	PUNCT
cana-4666	91	9	…	…	PUNCT
cana-4666	91	10	.	.	PUNCT
cana-4666	91	11	,	,	PUNCT
cana-4666	91	12	we	we	PRON
cana-4666	91	13	can	can	AUX
cana-4666	91	14	find	find	VERB
cana-4666	91	15	𝜕𝛼	𝜕𝛼	NOUN
cana-4666	91	16	�	�	PROPN
cana-4666	91	17	̌	̌	NUM
cana-4666	91	18	�	�	PROPN
cana-4666	91	19	𝜕	𝜕	PROPN
cana-4666	91	20	�	�	PROPN
cana-4666	91	21	̃	̃	PROPN
cana-4666	91	22	�	�	NOUN
cana-4666	91	23	𝛼	𝛼	NOUN
cana-4666	91	24	=	=	SYM
cana-4666	91	25	𝜕𝛼𝑤	𝜕𝛼𝑤	NOUN
cana-4666	91	26	𝜕𝑡+𝛼	𝜕𝑡+𝛼	PROPN
cana-4666	92	1	+	+	CCONJ
cana-4666	92	2	𝜀𝜂𝛼	𝜀𝜂𝛼	VERB
cana-4666	92	3	𝑡	𝑡	X
cana-4666	92	4	(	(	PUNCT
cana-4666	92	5	𝑥	𝑥	PROPN
cana-4666	92	6	,	,	PUNCT
cana-4666	92	7	𝑡	𝑡	PROPN
cana-4666	92	8	,	,	PUNCT
cana-4666	92	9	𝑤	𝑤	ADP
cana-4666	92	10	)	)	PUNCT
cana-4666	93	1	+	+	NOUN
cana-4666	93	2	o	o	X
cana-4666	93	3	(	(	PUNCT
cana-4666	93	4	𝜀2	𝜀2	PROPN
cana-4666	93	5	)	)	PUNCT
cana-4666	93	6	,	,	PUNCT
cana-4666	93	7	𝜕	𝜕	PROPN
cana-4666	93	8	�	�	PROPN
cana-4666	93	9	̌	̌	NUM
cana-4666	93	10	�	�	PROPN
cana-4666	93	11	𝜕	𝜕	PROPN
cana-4666	93	12	�	�	PROPN
cana-4666	93	13	̃	̃	PROPN
cana-4666	93	14	�	�	NOUN
cana-4666	93	15	=	=	NOUN
cana-4666	93	16	𝜕𝑤	𝜕𝑤	VERB
cana-4666	93	17	𝜕𝑥	𝜕𝑥	X
cana-4666	94	1	+	+	SYM
cana-4666	94	2	𝜀𝜂𝑥(𝑥	𝜀𝜂𝑥(𝑥	PROPN
cana-4666	94	3	,	,	PUNCT
cana-4666	94	4	t,𝑤	t,𝑤	ADJ
cana-4666	94	5	)	)	PUNCT
cana-4666	94	6	+	+	NUM
cana-4666	94	7	o	o	X
cana-4666	94	8	(	(	PUNCT
cana-4666	94	9	𝜀2	𝜀2	PROPN
cana-4666	94	10	)	)	PUNCT
cana-4666	94	11	,	,	PUNCT
cana-4666	94	12	𝜕2	𝜕2	NOUN
cana-4666	94	13	�	�	PROPN
cana-4666	94	14	̌	̌	NUM
cana-4666	94	15	�	�	PROPN
cana-4666	94	16	𝜕	𝜕	PROPN
cana-4666	94	17	�	�	PROPN
cana-4666	94	18	̃	̃	PROPN
cana-4666	94	19	�	�	NOUN
cana-4666	94	20	2	2	NUM
cana-4666	94	21	=	=	SYM
cana-4666	94	22	𝜕2𝑤	𝜕2𝑤	NUM
cana-4666	94	23	𝜕𝑥2	𝜕𝑥2	NOUN
cana-4666	94	24	+	+	CCONJ
cana-4666	95	1	𝜀𝜂𝑥𝑥(𝑥	𝜀𝜂𝑥𝑥(𝑥	PROPN
cana-4666	95	2	,	,	PUNCT
cana-4666	95	3	t,𝑤	t,𝑤	ADJ
cana-4666	95	4	)	)	PUNCT
cana-4666	95	5	+	+	NUM
cana-4666	95	6	o	o	X
cana-4666	95	7	(	(	PUNCT
cana-4666	95	8	𝜀2	𝜀2	PROPN
cana-4666	95	9	)	)	PUNCT
cana-4666	95	10	,	,	PUNCT
cana-4666	95	11	𝜕3	𝜕3	NOUN
cana-4666	95	12	�	�	PROPN
cana-4666	95	13	̌	̌	NUM
cana-4666	95	14	�	�	PROPN
cana-4666	95	15	𝜕	𝜕	PROPN
cana-4666	95	16	�	�	PROPN
cana-4666	95	17	̃	̃	PROPN
cana-4666	95	18	�	�	NOUN
cana-4666	95	19	3	3	NUM
cana-4666	95	20	=	=	SYM
cana-4666	95	21	𝜕3𝑤	𝜕3𝑤	NOUN
cana-4666	95	22	𝜕𝑥3	𝜕𝑥3	PROPN
cana-4666	95	23	+	+	NUM
cana-4666	95	24	𝜀𝜂𝑥𝑥𝑥(𝑥	𝜀𝜂𝑥𝑥𝑥(𝑥	PROPN
cana-4666	95	25	,	,	PUNCT
cana-4666	95	26	t,𝑤	t,𝑤	ADJ
cana-4666	95	27	)	)	PUNCT
cana-4666	95	28	+	+	NUM
cana-4666	95	29	o	o	X
cana-4666	95	30	(	(	PUNCT
cana-4666	95	31	𝜀2	𝜀2	PROPN
cana-4666	95	32	)	)	PUNCT
cana-4666	95	33	,	,	PUNCT
cana-4666	95	34	:	:	PUNCT
cana-4666	95	35	:	:	PUNCT
cana-4666	95	36	where	where	SCONJ
cana-4666	95	37	𝜂𝑥	𝜂𝑥	NOUN
cana-4666	95	38	=	=	SYM
cana-4666	95	39	𝐷𝑥(𝜂	𝐷𝑥(𝜂	NOUN
cana-4666	95	40	)	)	PUNCT
cana-4666	95	41	𝑤𝑡𝐷𝑥(𝜏	𝑤𝑡𝐷𝑥(𝜏	NOUN
cana-4666	95	42	)	)	PUNCT
cana-4666	95	43	𝑤𝑥𝐷𝑥(𝜉	𝑤𝑥𝐷𝑥(𝜉	NOUN
cana-4666	95	44	)	)	PUNCT
cana-4666	95	45	,	,	PUNCT
cana-4666	95	46	𝜂𝑥𝑥	𝜂𝑥𝑥	X
cana-4666	95	47	=	=	PUNCT
cana-4666	95	48	𝐷𝑥(𝜂	𝐷𝑥(𝜂	NOUN
cana-4666	95	49	𝑥	𝑥	X
cana-4666	95	50	)	)	PUNCT
cana-4666	95	51	𝑤𝑥𝑡𝐷𝑥(𝜏	𝑤𝑥𝑡𝐷𝑥(𝜏	ADJ
cana-4666	95	52	)	)	PUNCT
cana-4666	95	53	𝑤𝑥𝑥𝐷𝑥(𝜉	𝑤𝑥𝑥𝐷𝑥(𝜉	PROPN
cana-4666	95	54	)	)	PUNCT
cana-4666	95	55	,	,	PUNCT
cana-4666	95	56	(	(	PUNCT
cana-4666	95	57	9	9	X
cana-4666	95	58	)	)	PUNCT
cana-4666	95	59	𝜂𝑥𝑥	𝜂𝑥𝑥	NOUN
cana-4666	96	1	=	=	PUNCT
cana-4666	96	2	𝐷𝑥(𝜂	𝐷𝑥(𝜂	ADJ
cana-4666	96	3	𝑥𝑥	𝑥𝑥	ADP
cana-4666	96	4	)	)	PUNCT
cana-4666	96	5	𝑤𝑥𝑥𝑡𝐷𝑥(𝜏	𝑤𝑥𝑥𝑡𝐷𝑥(𝜏	PROPN
cana-4666	96	6	)	)	PUNCT
cana-4666	96	7	𝑤𝑥𝑥𝑥𝐷𝑥(𝜉	𝑤𝑥𝑥𝑥𝐷𝑥(𝜉	PROPN
cana-4666	96	8	)	)	PUNCT
cana-4666	96	9	.	.	PUNCT
cana-4666	97	1	:	:	PUNCT
cana-4666	97	2	here	here	ADV
cana-4666	97	3	,	,	PUNCT
cana-4666	97	4	derivative	derivative	ADJ
cana-4666	97	5	operator	operator	NOUN
cana-4666	97	6	𝐷𝑥	𝐷𝑥	PROPN
cana-4666	97	7	is	be	AUX
cana-4666	97	8	defined	define	VERB
cana-4666	97	9	as	as	ADP
cana-4666	97	10	communications	communication	NOUN
cana-4666	97	11	on	on	ADP
cana-4666	97	12	applied	apply	VERB
cana-4666	97	13	nonlinear	nonlinear	ADJ
cana-4666	97	14	analysis	analysis	NOUN
cana-4666	97	15	issn	issn	NOUN
cana-4666	97	16	:	:	PUNCT
cana-4666	97	17	1074	1074	NUM
cana-4666	97	18	-	-	PUNCT
cana-4666	97	19	133x	133x	NUM
cana-4666	97	20	vol	vol	VERB
cana-4666	97	21	32	32	NUM
cana-4666	97	22	no	no	NOUN
cana-4666	97	23	.	.	PUNCT
cana-4666	98	1	10s	10	NOUN
cana-4666	98	2	(	(	PUNCT
cana-4666	98	3	2025	2025	NUM
cana-4666	98	4	)	)	PUNCT
cana-4666	99	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	99	2	107	107	NUM
cana-4666	99	3	𝐷𝑥	𝐷𝑥	PROPN
cana-4666	99	4	=	=	SYM
cana-4666	99	5	𝜕	𝜕	PROPN
cana-4666	99	6	𝜕𝑥	𝜕𝑥	X
cana-4666	99	7	+	+	ADP
cana-4666	99	8	𝑤𝑥	𝑤𝑥	ADP
cana-4666	99	9	𝜕	𝜕	NOUN
cana-4666	99	10	𝜕𝑤	𝜕𝑤	NOUN
cana-4666	99	11	+	+	CCONJ
cana-4666	99	12	𝑤𝑥𝑥	𝑤𝑥𝑥	NOUN
cana-4666	99	13	𝜕	𝜕	PROPN
cana-4666	99	14	𝜕𝑤𝑥	𝜕𝑤𝑥	NOUN
cana-4666	99	15	+	+	NUM
cana-4666	99	16	𝑤𝑡𝑥	𝑤𝑡𝑥	NOUN
cana-4666	99	17	𝜕	𝜕	NOUN
cana-4666	99	18	𝜕𝑤𝑡	𝜕𝑤𝑡	NOUN
cana-4666	99	19	+	+	NOUN
cana-4666	99	20	…	…	NOUN
cana-4666	99	21	……	……	NOUN
cana-4666	99	22	,	,	PUNCT
cana-4666	99	23	(	(	PUNCT
cana-4666	99	24	10	10	NUM
cana-4666	99	25	)	)	PUNCT
cana-4666	99	26	and	and	CCONJ
cana-4666	99	27	𝜕𝛼	𝜕𝛼	PROPN
cana-4666	99	28	�	�	PROPN
cana-4666	99	29	̌	̌	NUM
cana-4666	99	30	�	�	PROPN
cana-4666	99	31	𝜕𝑡	𝜕𝑡	NOUN
cana-4666	99	32	̌𝛼	̌𝛼	PROPN
cana-4666	99	33	=	=	PUNCT
cana-4666	99	34	𝜕𝛼𝑤	𝜕𝛼𝑤	PRON
cana-4666	99	35	𝜕𝑡𝛼	𝜕𝑡𝛼	PUNCT
cana-4666	100	1	+	+	CCONJ
cana-4666	100	2	𝜀𝜂𝛼	𝜀𝜂𝛼	VERB
cana-4666	100	3	𝑡	𝑡	X
cana-4666	101	1	+	+	X
cana-4666	101	2	o	o	X
cana-4666	101	3	(	(	PUNCT
cana-4666	101	4	𝜀2	𝜀2	PROPN
cana-4666	101	5	)	)	PUNCT
cana-4666	101	6	,	,	PUNCT
cana-4666	101	7	where	where	SCONJ
cana-4666	101	8	𝜂𝛼	𝜂𝛼	ADP
cana-4666	101	9	𝑡	𝑡	PROPN
cana-4666	101	10	extended	extend	VERB
cana-4666	101	11	infinitesimal	infinitesimal	ADJ
cana-4666	101	12	associated	associate	VERB
cana-4666	101	13	to	to	PART
cana-4666	101	14	conformable	conformable	VERB
cana-4666	101	15	fractional	fractional	ADJ
cana-4666	101	16	time	time	NOUN
cana-4666	101	17	derivative	derivative	NOUN
cana-4666	101	18	of	of	ADP
cana-4666	101	19	𝑣	𝑣	DET
cana-4666	101	20	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-4666	101	21	�	�	PROPN
cana-4666	101	22	̃	̃	PROPN
cana-4666	101	23	�	�	PROPN
cana-4666	101	24	differentiable	differentiable	ADJ
cana-4666	101	25	functions	function	NOUN
cana-4666	101	26	.	.	PUNCT
cana-4666	102	1	the	the	DET
cana-4666	102	2	prolongation	prolongation	NOUN
cana-4666	102	3	of	of	ADP
cana-4666	102	4	the	the	DET
cana-4666	102	5	point	point	NOUN
cana-4666	102	6	transformation	transformation	NOUN
cana-4666	102	7	(	(	PUNCT
cana-4666	102	8	3	3	NUM
cana-4666	102	9	)	)	PUNCT
cana-4666	102	10	to	to	ADP
cana-4666	102	11	the	the	DET
cana-4666	102	12	αth	αth	PROPN
cana-4666	102	13	derivative	derivative	NOUN
cana-4666	102	14	for	for	ADP
cana-4666	102	15	some	some	DET
cana-4666	102	16	α	α	NOUN
cana-4666	102	17	∈	∈	PROPN
cana-4666	102	18	(	(	PUNCT
cana-4666	102	19	0	0	NUM
cana-4666	102	20	,	,	PUNCT
cana-4666	102	21	1	1	NUM
cana-4666	102	22	]	]	PUNCT
cana-4666	102	23	.	.	PUNCT
cana-4666	103	1	4	4	X
cana-4666	103	2	.	.	X
cana-4666	103	3	description	description	NOUN
cana-4666	103	4	of	of	ADP
cana-4666	103	5	(	(	PUNCT
cana-4666	103	6	𝑮′	𝑮′	PROPN
cana-4666	103	7	𝑮	𝑮	PROPN
cana-4666	103	8	)	)	PUNCT
cana-4666	103	9	-expansion	-expansion	PROPN
cana-4666	103	10	method	method	NOUN
cana-4666	103	11	[	[	X
cana-4666	103	12	40	40	NUM
cana-4666	103	13	]	]	X
cana-4666	103	14	:	:	PUNCT
cana-4666	103	15	(	(	PUNCT
cana-4666	103	16	𝐺′	𝐺′	INTJ
cana-4666	103	17	𝐺	𝐺	NOUN
cana-4666	103	18	)	)	PUNCT
cana-4666	103	19	expansion	expansion	NOUN
cana-4666	103	20	method	method	NOUN
cana-4666	103	21	(	(	PUNCT
cana-4666	103	22	zayed	zayed	ADJ
cana-4666	103	23	,	,	PUNCT
cana-4666	103	24	2011	2011	NUM
cana-4666	103	25	)	)	PUNCT
cana-4666	103	26	has	have	AUX
cana-4666	103	27	been	be	AUX
cana-4666	103	28	discussed	discuss	VERB
cana-4666	103	29	in	in	ADP
cana-4666	103	30	this	this	DET
cana-4666	103	31	section	section	NOUN
cana-4666	103	32	as	as	ADP
cana-4666	103	33	a	a	DET
cana-4666	103	34	way	way	NOUN
cana-4666	103	35	to	to	PART
cana-4666	103	36	obtain	obtain	VERB
cana-4666	103	37	traveling	travel	VERB
cana-4666	103	38	wave	wave	NOUN
cana-4666	103	39	solutions	solution	NOUN
cana-4666	103	40	of	of	ADP
cana-4666	103	41	nlpdes	nlpde	NOUN
cana-4666	103	42	.	.	PUNCT
cana-4666	104	1	assume	assume	VERB
cana-4666	104	2	that	that	SCONJ
cana-4666	104	3	non	non	ADJ
cana-4666	104	4	-	-	ADJ
cana-4666	104	5	linear	linear	ADJ
cana-4666	104	6	equation	equation	NOUN
cana-4666	104	7	,	,	PUNCT
cana-4666	104	8	f	f	PROPN
cana-4666	104	9	(	(	PUNCT
cana-4666	104	10	𝑢	𝑢	X
cana-4666	104	11	,	,	PUNCT
cana-4666	104	12	𝑢𝑥	𝑢𝑥	ADP
cana-4666	104	13	,	,	PUNCT
cana-4666	104	14	𝑢𝑥𝑥	𝑢𝑥𝑥	PROPN
cana-4666	104	15	,	,	PUNCT
cana-4666	104	16	𝑢𝑡	𝑢𝑡	NOUN
cana-4666	104	17	,	,	PUNCT
cana-4666	104	18	𝑢𝑡𝑡	𝑢𝑡𝑡	NOUN
cana-4666	104	19	...	...	PUNCT
cana-4666	104	20	)	)	PUNCT
cana-4666	105	1	=	=	SYM
cana-4666	105	2	0	0	NUM
cana-4666	105	3	.	.	NUM
cana-4666	105	4	…	…	PUNCT
cana-4666	105	5	……	……	NOUN
cana-4666	105	6	.	.	PUNCT
cana-4666	105	7	,	,	PUNCT
cana-4666	105	8	(	(	PUNCT
cana-4666	105	9	11	11	NUM
cana-4666	105	10	)	)	PUNCT
cana-4666	105	11	where	where	SCONJ
cana-4666	105	12	f	f	PROPN
cana-4666	105	13	is	be	AUX
cana-4666	105	14	higher	high	ADJ
cana-4666	105	15	order	order	NOUN
cana-4666	105	16	derivatives	derivative	NOUN
cana-4666	105	17	and	and	CCONJ
cana-4666	105	18	non	non	ADJ
cana-4666	105	19	-	-	ADJ
cana-4666	105	20	linear	linear	ADJ
cana-4666	105	21	terms	term	NOUN
cana-4666	105	22	of	of	ADP
cana-4666	105	23	polynomial	polynomial	ADJ
cana-4666	105	24	with	with	ADP
cana-4666	105	25	unknown	unknown	ADJ
cana-4666	105	26	variable	variable	NOUN
cana-4666	105	27	𝑢	𝑢	PROPN
cana-4666	105	28	=	=	SYM
cana-4666	105	29	𝑢(𝑥	𝑢(𝑥	PROPN
cana-4666	105	30	,	,	PUNCT
cana-4666	105	31	𝑡	𝑡	PROPN
cana-4666	105	32	)	)	PUNCT
cana-4666	105	33	and	and	CCONJ
cana-4666	105	34	its	its	PRON
cana-4666	105	35	derivatives	derivative	NOUN
cana-4666	105	36	𝑢	𝑢	NOUN
cana-4666	105	37	,	,	PUNCT
cana-4666	105	38	𝑢𝑥	𝑢𝑥	ADP
cana-4666	105	39	,	,	PUNCT
cana-4666	105	40	𝑢𝑥𝑥	𝑢𝑥𝑥	NOUN
cana-4666	105	41	,	,	PUNCT
cana-4666	105	42	𝑢𝑡	𝑢𝑡	NOUN
cana-4666	105	43	,	,	PUNCT
cana-4666	105	44	𝑢𝑡𝑡.	𝑢𝑡𝑡.	X
cana-4666	105	45	a	a	DET
cana-4666	105	46	transformation	transformation	NOUN
cana-4666	105	47	𝑢	𝑢	X
cana-4666	105	48	=	=	SYM
cana-4666	105	49	𝑢(𝑥	𝑢(𝑥	PROPN
cana-4666	105	50	,	,	PUNCT
cana-4666	105	51	𝑡	𝑡	X
cana-4666	105	52	)	)	PUNCT
cana-4666	105	53	=	=	SYM
cana-4666	105	54	q	q	X
cana-4666	105	55	(	(	PUNCT
cana-4666	105	56	ξ	ξ	NOUN
cana-4666	105	57	)	)	PUNCT
cana-4666	105	58	and	and	CCONJ
cana-4666	105	59	ξ	ξ	X
cana-4666	105	60	=	=	SYM
cana-4666	105	61	𝑔𝑥	𝑔𝑥	PROPN
cana-4666	105	62	+	+	PROPN
cana-4666	105	63	ℎ𝑦	ℎ𝑦	PROPN
cana-4666	105	64	−	−	NOUN
cana-4666	105	65	𝑐𝑡	𝑐𝑡	INTJ
cana-4666	105	66	,	,	PUNCT
cana-4666	105	67	𝑄	𝑄	PROPN
cana-4666	105	68	(	(	PUNCT
cana-4666	105	69	𝜉	𝜉	NOUN
cana-4666	105	70	)	)	PUNCT
cana-4666	105	71	represents	represent	VERB
cana-4666	105	72	the	the	DET
cana-4666	105	73	traveling	travel	VERB
cana-4666	105	74	wave	wave	NOUN
cana-4666	105	75	solutions	solution	NOUN
cana-4666	105	76	at	at	ADP
cana-4666	105	77	speed	speed	NOUN
cana-4666	105	78	c	c	NOUN
cana-4666	105	79	and	and	CCONJ
cana-4666	105	80	g	g	PROPN
cana-4666	105	81	and	and	CCONJ
cana-4666	105	82	h	h	NOUN
cana-4666	105	83	define	define	VERB
cana-4666	105	84	the	the	DET
cana-4666	105	85	wave	wave	NOUN
cana-4666	105	86	numbers	number	NOUN
cana-4666	105	87	.	.	PUNCT
cana-4666	106	1	the	the	DET
cana-4666	106	2	method	method	NOUN
cana-4666	106	3	can	can	AUX
cana-4666	106	4	be	be	AUX
cana-4666	106	5	applied	apply	VERB
cana-4666	106	6	utilizing	utilize	VERB
cana-4666	106	7	the	the	DET
cana-4666	106	8	following	follow	VERB
cana-4666	106	9	methods	method	NOUN
cana-4666	106	10	to	to	PART
cana-4666	106	11	find	find	VERB
cana-4666	106	12	the	the	DET
cana-4666	106	13	wave	wave	NOUN
cana-4666	106	14	solutions	solution	NOUN
cana-4666	106	15	:	:	PUNCT
cana-4666	106	16	step	step	NOUN
cana-4666	106	17	1	1	NUM
cana-4666	106	18	:	:	PUNCT
cana-4666	106	19	firstly	firstly	ADV
cana-4666	106	20	,	,	PUNCT
cana-4666	106	21	change	change	VERB
cana-4666	106	22	nlpdes	nlpde	NOUN
cana-4666	106	23	equation	equation	NOUN
cana-4666	106	24	into	into	ADP
cana-4666	106	25	nonlinear	nonlinear	ADJ
cana-4666	106	26	ordinary	ordinary	ADJ
cana-4666	106	27	differential	differential	ADJ
cana-4666	106	28	equation	equation	NOUN
cana-4666	106	29	(	(	PUNCT
cana-4666	106	30	ode	ode	PROPN
cana-4666	106	31	)	)	PUNCT
cana-4666	106	32	using	use	VERB
cana-4666	106	33	transformation	transformation	NOUN
cana-4666	106	34	(	(	PUNCT
cana-4666	106	35	guner	guner	NOUN
cana-4666	106	36	and	and	CCONJ
cana-4666	106	37	ozkan	ozkan	NOUN
cana-4666	106	38	2016	2016	NUM
cana-4666	106	39	)	)	PUNCT
cana-4666	106	40	and	and	CCONJ
cana-4666	106	41	the	the	DET
cana-4666	106	42	system	system	NOUN
cana-4666	106	43	reduce	reduce	VERB
cana-4666	106	44	into	into	ADP
cana-4666	106	45	ode	ode	PROPN
cana-4666	106	46	.	.	PUNCT
cana-4666	107	1	𝐹	𝐹	PROPN
cana-4666	107	2	(	(	PUNCT
cana-4666	107	3	𝑄	𝑄	PROPN
cana-4666	107	4	,	,	PUNCT
cana-4666	107	5	𝑄′	𝑄′	ADJ
cana-4666	107	6	,	,	PUNCT
cana-4666	107	7	𝑄′′	𝑄′′	PROPN
cana-4666	107	8	…	…	PUNCT
cana-4666	107	9	.	.	PUNCT
cana-4666	107	10	.	.	PUNCT
cana-4666	107	11	)	)	PUNCT
cana-4666	108	1	=	=	SYM
cana-4666	108	2	0	0	NUM
cana-4666	108	3	…	…	PUNCT
cana-4666	108	4	…	…	PUNCT
cana-4666	108	5	…	…	PUNCT
cana-4666	108	6	…	…	SYM
cana-4666	108	7	……	……	NOUN
cana-4666	108	8	.	.	PUNCT
cana-4666	108	9	,	,	PUNCT
cana-4666	108	10	(	(	PUNCT
cana-4666	108	11	12	12	NUM
cana-4666	108	12	)	)	PUNCT
cana-4666	108	13	step	step	NOUN
cana-4666	108	14	2	2	NUM
cana-4666	108	15	:	:	PUNCT
cana-4666	108	16	assume	assume	VERB
cana-4666	108	17	that	that	SCONJ
cana-4666	108	18	the	the	DET
cana-4666	108	19	solution	solution	NOUN
cana-4666	108	20	to	to	ADP
cana-4666	108	21	equation	equation	NOUN
cana-4666	108	22	(	(	PUNCT
cana-4666	108	23	12	12	NUM
cana-4666	108	24	)	)	PUNCT
cana-4666	108	25	may	may	AUX
cana-4666	108	26	be	be	AUX
cana-4666	108	27	defined	define	VERB
cana-4666	108	28	as	as	ADP
cana-4666	108	29	:	:	PUNCT
cana-4666	108	30	q	q	X
cana-4666	108	31	(	(	PUNCT
cana-4666	108	32	ξ	ξ	NOUN
cana-4666	108	33	)	)	PUNCT
cana-4666	108	34	=	=	SYM
cana-4666	108	35	𝑎𝑚	𝑎𝑚	NOUN
cana-4666	108	36	(	(	PUNCT
cana-4666	108	37	𝐺′	𝐺′	PROPN
cana-4666	108	38	𝐺	𝐺	PROPN
cana-4666	108	39	)	)	PUNCT
cana-4666	108	40	𝑚	𝑚	PROPN
cana-4666	109	1	+	+	X
cana-4666	109	2	𝑎𝑚−1	𝑎𝑚−1	PROPN
cana-4666	109	3	(	(	PUNCT
cana-4666	109	4	𝐺′	𝐺′	INTJ
cana-4666	109	5	𝐺	𝐺	PROPN
cana-4666	109	6	)	)	PUNCT
cana-4666	109	7	𝑚−1	𝑚−1	PROPN
cana-4666	109	8	+	+	NOUN
cana-4666	109	9	…	…	PUNCT
cana-4666	109	10	…	…	SYM
cana-4666	109	11	……	……	NOUN
cana-4666	109	12	,	,	PUNCT
cana-4666	109	13	(	(	PUNCT
cana-4666	109	14	13	13	NUM
cana-4666	109	15	)	)	PUNCT
cana-4666	109	16	the	the	DET
cana-4666	109	17	following	follow	VERB
cana-4666	109	18	form	form	NOUN
cana-4666	109	19	,	,	PUNCT
cana-4666	109	20	𝐺	𝐺	PROPN
cana-4666	109	21	=	=	PROPN
cana-4666	109	22	𝐺	𝐺	PROPN
cana-4666	109	23	(	(	PUNCT
cana-4666	109	24	𝜉	𝜉	NOUN
cana-4666	109	25	)	)	PUNCT
cana-4666	109	26	of	of	ADP
cana-4666	109	27	second	second	ADJ
cana-4666	109	28	order	order	NOUN
cana-4666	109	29	linear	linear	NOUN
cana-4666	109	30	differential	differential	NOUN
cana-4666	109	31	equation	equation	NOUN
cana-4666	109	32	is	be	AUX
cana-4666	109	33	satisfied	satisfied	ADJ
cana-4666	109	34	:	:	PUNCT
cana-4666	109	35	𝐺′′	𝐺′′	ADV
cana-4666	109	36	+	+	CCONJ
cana-4666	109	37	𝜆𝐺′	𝜆𝐺′	PUNCT
cana-4666	110	1	+	+	CCONJ
cana-4666	110	2	µ𝐺	µ𝐺	NOUN
cana-4666	110	3	=	=	SYM
cana-4666	110	4	0	0	NUM
cana-4666	110	5	…	…	SYM
cana-4666	110	6	……	……	NOUN
cana-4666	110	7	..	..	PUNCT
cana-4666	110	8	,	,	PUNCT
cana-4666	110	9	(	(	PUNCT
cana-4666	110	10	14	14	NUM
cana-4666	110	11	)	)	PUNCT
cana-4666	110	12	whereas	whereas	SCONJ
cana-4666	110	13	𝑎𝑚	𝑎𝑚	NOUN
cana-4666	110	14	,	,	PUNCT
cana-4666	110	15	𝑎𝑚−1	𝑎𝑚−1	PROPN
cana-4666	110	16	,	,	PUNCT
cana-4666	110	17	.	.	PUNCT
cana-4666	110	18	.	.	PUNCT
cana-4666	110	19	.	.	PUNCT
cana-4666	110	20	.	.	PUNCT
cana-4666	110	21	.	.	PUNCT
cana-4666	111	1	𝑎0	𝑎0	PROPN
cana-4666	111	2	,	,	PUNCT
cana-4666	111	3	𝜆	𝜆	DET
cana-4666	111	4	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-4666	111	5	µ	µ	NOUN
cana-4666	111	6	are	be	AUX
cana-4666	111	7	constants	constant	NOUN
cana-4666	111	8	,	,	PUNCT
cana-4666	111	9	𝑎𝑚	𝑎𝑚	NOUN
cana-4666	111	10	ǂ	ǂ	PROPN
cana-4666	111	11	0	0	PROPN
cana-4666	111	12	.	.	PUNCT
cana-4666	112	1	the	the	DET
cana-4666	112	2	non	non	ADJ
cana-4666	112	3	-	-	ADJ
cana-4666	112	4	linear	linear	ADJ
cana-4666	112	5	terms	term	NOUN
cana-4666	112	6	and	and	CCONJ
cana-4666	112	7	highest	high	ADJ
cana-4666	112	8	order	order	NOUN
cana-4666	112	9	derivatives	derivative	NOUN
cana-4666	112	10	in	in	ADP
cana-4666	112	11	eq	eq	ADP
cana-4666	112	12	.	.	PUNCT
cana-4666	113	1	(	(	PUNCT
cana-4666	113	2	11	11	NUM
cana-4666	113	3	)	)	PUNCT
cana-4666	113	4	are	be	AUX
cana-4666	113	5	balanced	balance	VERB
cana-4666	113	6	by	by	ADP
cana-4666	113	7	using	use	VERB
cana-4666	113	8	the	the	DET
cana-4666	113	9	homogeneous	homogeneous	ADJ
cana-4666	113	10	balance	balance	NOUN
cana-4666	113	11	method	method	NOUN
cana-4666	113	12	for	for	ADP
cana-4666	113	13	find	find	VERB
cana-4666	113	14	the	the	DET
cana-4666	113	15	positive	positive	ADJ
cana-4666	113	16	integer	integer	NOUN
cana-4666	113	17	m.	m.	NOUN
cana-4666	113	18	communications	communication	NOUN
cana-4666	113	19	on	on	ADP
cana-4666	113	20	applied	apply	VERB
cana-4666	113	21	nonlinear	nonlinear	ADJ
cana-4666	113	22	analysis	analysis	NOUN
cana-4666	113	23	issn	issn	NOUN
cana-4666	113	24	:	:	PUNCT
cana-4666	113	25	1074	1074	NUM
cana-4666	113	26	-	-	PUNCT
cana-4666	113	27	133x	133x	NUM
cana-4666	113	28	vol	vol	VERB
cana-4666	113	29	32	32	NUM
cana-4666	113	30	no	no	NOUN
cana-4666	113	31	.	.	PUNCT
cana-4666	114	1	10s	10	NOUN
cana-4666	114	2	(	(	PUNCT
cana-4666	114	3	2025	2025	NUM
cana-4666	114	4	)	)	PUNCT
cana-4666	114	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	114	6	108	108	NUM
cana-4666	114	7	step	step	NOUN
cana-4666	114	8	3	3	NUM
cana-4666	114	9	:	:	PUNCT
cana-4666	114	10	using	use	VERB
cana-4666	114	11	eq	eq	X
cana-4666	114	12	.	.	PUNCT
cana-4666	115	1	(	(	PUNCT
cana-4666	115	2	14	14	NUM
cana-4666	115	3	)	)	PUNCT
cana-4666	115	4	and	and	CCONJ
cana-4666	115	5	putting	put	VERB
cana-4666	115	6	in	in	ADP
cana-4666	115	7	eq	eq	ADP
cana-4666	115	8	.	.	PUNCT
cana-4666	116	1	(	(	PUNCT
cana-4666	116	2	13	13	NUM
cana-4666	116	3	)	)	PUNCT
cana-4666	116	4	into	into	ADP
cana-4666	116	5	eq	eq	NOUN
cana-4666	116	6	.	.	PUNCT
cana-4666	117	1	(	(	PUNCT
cana-4666	117	2	12	12	NUM
cana-4666	117	3	)	)	PUNCT
cana-4666	117	4	.	.	PUNCT
cana-4666	118	1	collecting	collect	VERB
cana-4666	118	2	the	the	DET
cana-4666	118	3	same	same	ADJ
cana-4666	118	4	order	order	NOUN
cana-4666	118	5	terms	term	NOUN
cana-4666	118	6	of	of	ADP
cana-4666	118	7	(	(	PUNCT
cana-4666	118	8	𝐺′	𝐺′	INTJ
cana-4666	118	9	𝐺	𝐺	PROPN
cana-4666	118	10	)	)	PUNCT
cana-4666	118	11	,	,	PUNCT
cana-4666	118	12	and	and	CCONJ
cana-4666	118	13	then	then	ADV
cana-4666	118	14	equating	equate	VERB
cana-4666	118	15	each	each	DET
cana-4666	118	16	coefficient	coefficient	NOUN
cana-4666	118	17	of	of	ADP
cana-4666	118	18	polynomial	polynomial	ADJ
cana-4666	118	19	to	to	ADP
cana-4666	118	20	zero	zero	NUM
cana-4666	118	21	.	.	PUNCT
cana-4666	119	1	a	a	DET
cana-4666	119	2	set	set	NOUN
cana-4666	119	3	of	of	ADP
cana-4666	119	4	equations	equation	NOUN
cana-4666	119	5	for	for	ADP
cana-4666	119	6	am	am	PROPN
cana-4666	119	7	,	,	PUNCT
cana-4666	119	8	am−1	am−1	PROPN
cana-4666	119	9	,	,	PUNCT
cana-4666	119	10	.......	.......	PUNCT
cana-4666	120	1	a0	a0	PROPN
cana-4666	120	2	are	be	AUX
cana-4666	120	3	obtained	obtain	VERB
cana-4666	120	4	.	.	PUNCT
cana-4666	121	1	step	step	NOUN
cana-4666	121	2	4	4	NUM
cana-4666	121	3	:	:	PUNCT
cana-4666	121	4	as	as	ADP
cana-4666	121	5	a	a	DET
cana-4666	121	6	result	result	NOUN
cana-4666	121	7	of	of	ADP
cana-4666	121	8	eq	eq	PROPN
cana-4666	121	9	.	.	PUNCT
cana-4666	122	1	(	(	PUNCT
cana-4666	122	2	14	14	NUM
cana-4666	122	3	)	)	PUNCT
cana-4666	122	4	we	we	PRON
cana-4666	122	5	able	able	ADJ
cana-4666	122	6	to	to	PART
cana-4666	122	7	obtain	obtain	VERB
cana-4666	122	8	travelling	travel	VERB
cana-4666	122	9	wave	wave	NOUN
cana-4666	122	10	solutions	solution	NOUN
cana-4666	122	11	for	for	ADP
cana-4666	122	12	nlpdes	nlpde	NOUN
cana-4666	122	13	(	(	PUNCT
cana-4666	122	14	2	2	NUM
cana-4666	122	15	)	)	PUNCT
cana-4666	122	16	.	.	PUNCT
cana-4666	123	1	the	the	DET
cana-4666	123	2	general	general	ADJ
cana-4666	123	3	solutions	solution	NOUN
cana-4666	123	4	to	to	ADP
cana-4666	123	5	eq	eq	PROPN
cana-4666	123	6	.	.	PUNCT
cana-4666	124	1	(	(	PUNCT
cana-4666	124	2	14	14	NUM
cana-4666	124	3	)	)	PUNCT
cana-4666	124	4	are	be	AUX
cana-4666	124	5	given	give	VERB
cana-4666	124	6	as	as	ADP
cana-4666	124	7	𝐺′	𝐺′	PROPN
cana-4666	124	8	𝐺	𝐺	NOUN
cana-4666	124	9	=	=	NOUN
cana-4666	124	10	{	{	PUNCT
cana-4666	124	11	−	−	NOUN
cana-4666	124	12	𝜆	𝜆	SYM
cana-4666	124	13	2	2	NUM
cana-4666	124	14	+	+	NOUN
cana-4666	124	15	√	√	PRON
cana-4666	124	16	𝜆2−4𝜇	𝜆2−4𝜇	NOUN
cana-4666	124	17	2	2	NUM
cana-4666	124	18	(	(	PUNCT
cana-4666	124	19	𝑐1	𝑐1	NOUN
cana-4666	124	20	sinh	sinh	VERB
cana-4666	124	21	√𝜆2−4𝜇	√𝜆2−4𝜇	PROPN
cana-4666	124	22	2	2	NUM
cana-4666	124	23	𝜉+𝑐2	𝜉+𝑐2	NOUN
cana-4666	124	24	cosh	cosh	PROPN
cana-4666	124	25	√𝜆2−4𝜇	√𝜆2−4𝜇	PROPN
cana-4666	124	26	2	2	NUM
cana-4666	124	27	𝜉	𝜉	NOUN
cana-4666	124	28	𝑐1	𝑐1	NOUN
cana-4666	124	29	cosh	cosh	NOUN
cana-4666	124	30	√𝜆2−4𝜇	√𝜆2−4𝜇	PROPN
cana-4666	124	31	2	2	NUM
cana-4666	124	32	𝜉+𝑐2	𝜉+𝑐2	NOUN
cana-4666	124	33	sinh	sinh	NOUN
cana-4666	124	34	√𝜆2−4𝜇	√𝜆2−4𝜇	PROPN
cana-4666	124	35	2	2	NUM
cana-4666	124	36	𝜉	𝜉	NOUN
cana-4666	124	37	)	)	PUNCT
cana-4666	124	38	,	,	PUNCT
cana-4666	124	39	𝜆2	𝜆2	NOUN
cana-4666	124	40	−	−	PROPN
cana-4666	124	41	4𝜇	4𝜇	PROPN
cana-4666	124	42	>	>	X
cana-4666	124	43	0	0	NUM
cana-4666	125	1	−	−	NOUN
cana-4666	125	2	𝜆	𝜆	PRON
cana-4666	125	3	2	2	NUM
cana-4666	126	1	+	+	NOUN
cana-4666	126	2	√	√	ADJ
cana-4666	126	3	4𝜇−𝜆2	4𝜇−𝜆2	NUM
cana-4666	126	4	2	2	NUM
cana-4666	126	5	(	(	PUNCT
cana-4666	126	6	−𝑐1	−𝑐1	NOUN
cana-4666	126	7	sin	sin	VERB
cana-4666	126	8	√4𝜇−𝜆2	√4𝜇−𝜆2	PROPN
cana-4666	126	9	2	2	NUM
cana-4666	126	10	𝜉+𝑐2	𝜉+𝑐2	NOUN
cana-4666	127	1	cos	cos	PROPN
cana-4666	127	2	√4𝜇−𝜆2	√4𝜇−𝜆2	PROPN
cana-4666	127	3	2	2	NUM
cana-4666	127	4	𝜉	𝜉	VERB
cana-4666	127	5	𝑐1	𝑐1	NOUN
cana-4666	127	6	cos	cos	ADP
cana-4666	127	7	√4𝜇−𝜆2	√4𝜇−𝜆2	PROPN
cana-4666	127	8	2	2	NUM
cana-4666	127	9	𝜉+𝑐2	𝜉+𝑐2	NOUN
cana-4666	127	10	sin	sin	NOUN
cana-4666	127	11	√4𝜇−𝜆2	√4𝜇−𝜆2	ADV
cana-4666	127	12	2	2	NUM
cana-4666	127	13	𝜉	𝜉	NOUN
cana-4666	127	14	)	)	PUNCT
cana-4666	127	15	,	,	PUNCT
cana-4666	127	16	𝜆2	𝜆2	NOUN
cana-4666	127	17	−	−	PROPN
cana-4666	127	18	4𝜇	4𝜇	NOUN
cana-4666	127	19	<	<	X
cana-4666	127	20	0	0	NUM
cana-4666	127	21	−	−	NOUN
cana-4666	127	22	𝜆	𝜆	SYM
cana-4666	127	23	2	2	NUM
cana-4666	127	24	+	+	CCONJ
cana-4666	127	25	𝑐1	𝑐1	NOUN
cana-4666	127	26	𝑐1+𝑐1𝜉	𝑐1+𝑐1𝜉	PRON
cana-4666	127	27	,	,	PUNCT
cana-4666	127	28	𝜆2	𝜆2	NOUN
cana-4666	127	29	−	−	NOUN
cana-4666	127	30	4𝜇	4𝜇	NOUN
cana-4666	127	31	=	=	SYM
cana-4666	127	32	0	0	NUM
cana-4666	127	33	5	5	NUM
cana-4666	127	34	.	.	PUNCT
cana-4666	127	35	symmetry	symmetry	NOUN
cana-4666	127	36	analysis	analysis	NOUN
cana-4666	127	37	of	of	ADP
cana-4666	127	38	kdv	kdv	NOUN
cana-4666	127	39	nlfpdes	nlfpde	VERB
cana-4666	127	40	:	:	PUNCT
cana-4666	127	41	the	the	DET
cana-4666	127	42	following	follow	VERB
cana-4666	127	43	𝑝	𝑝	ADP
cana-4666	127	44	th	th	PRON
cana-4666	127	45	order	order	NOUN
cana-4666	127	46	kdv	kdv	NOUN
cana-4666	127	47	equation	equation	NOUN
cana-4666	127	48	in	in	ADP
cana-4666	127	49	fractional	fractional	ADJ
cana-4666	127	50	form	form	NOUN
cana-4666	127	51	is	be	AUX
cana-4666	127	52	ũƫ	ũƫ	ADP
cana-4666	127	53	ᾱ	ᾱ	PRON
cana-4666	127	54	−	−	NOUN
cana-4666	127	55	ũ𝜘𝜘	ũ𝜘𝜘	ADV
cana-4666	127	56	−	−	PROPN
cana-4666	128	1	𝐴ũ	𝐴ũ	NOUN
cana-4666	128	2	𝑝ũ𝜘	𝑝ũ𝜘	NOUN
cana-4666	129	1	=	=	NOUN
cana-4666	129	2	0	0	NUM
cana-4666	129	3	,	,	PUNCT
cana-4666	129	4	0	0	NUM
cana-4666	129	5	≤	≤	NUM
cana-4666	129	6	𝛼	𝛼	VERB
cana-4666	129	7	≤	≤	NUM
cana-4666	129	8	1	1	NUM
cana-4666	129	9	and	and	CCONJ
cana-4666	129	10	𝛼	𝛼	ADJ
cana-4666	129	11	(	(	PUNCT
cana-4666	129	12	parameter	parameter	NOUN
cana-4666	129	13	)	)	PUNCT
cana-4666	129	14	expresses	express	VERB
cana-4666	129	15	the	the	DET
cana-4666	129	16	order	order	NOUN
cana-4666	129	17	of	of	ADP
cana-4666	129	18	conformal	conformal	ADJ
cana-4666	129	19	fractional	fractional	ADJ
cana-4666	129	20	derivative	derivative	NOUN
cana-4666	129	21	.	.	PUNCT
cana-4666	130	1	here	here	ADV
cana-4666	130	2	ũ(𝑥	ũ(𝑥	PROPN
cana-4666	130	3	,	,	PUNCT
cana-4666	130	4	ƫ	ƫ	NOUN
cana-4666	130	5	)	)	PUNCT
cana-4666	130	6	=	=	SYM
cana-4666	130	7	ũ(𝜉	ũ(𝜉	PROPN
cana-4666	130	8	)	)	PUNCT
cana-4666	130	9	,	,	PUNCT
cana-4666	130	10	𝜉	𝜉	X
cana-4666	130	11	=	=	VERB
cana-4666	130	12	𝑘𝜘	𝑘𝜘	PROPN
cana-4666	130	13	−	−	PROPN
cana-4666	130	14	𝜆𝑡ᾱ	𝜆𝑡ᾱ	NOUN
cana-4666	130	15	𝜏(1+ᾱ	𝜏(1+ᾱ	NOUN
cana-4666	130	16	)	)	PUNCT
cana-4666	130	17	.	.	PUNCT
cana-4666	131	1	construct	construct	VERB
cana-4666	131	2	an	an	DET
cana-4666	131	3	ode	ode	NOUN
cana-4666	131	4	for	for	ADP
cana-4666	131	5	the	the	DET
cana-4666	131	6	expression	expression	NOUN
cana-4666	131	7	ũ(𝑥	ũ(𝑥	PROPN
cana-4666	131	8	,	,	PUNCT
cana-4666	131	9	ƫ)=	ƫ)=	PUNCT
cana-4666	132	1	𝑄	𝑄	PROPN
cana-4666	132	2	(	(	PUNCT
cana-4666	132	3	𝜉	𝜉	X
cana-4666	132	4	)	)	PUNCT
cana-4666	132	5	using	use	VERB
cana-4666	132	6	the	the	DET
cana-4666	132	7	eq	eq	NOUN
cana-4666	132	8	.	.	PUNCT
cana-4666	132	9	(	(	PUNCT
cana-4666	132	10	1	1	NUM
cana-4666	132	11	)	)	PUNCT
cana-4666	132	12	,	,	PUNCT
cana-4666	132	13	𝑐2𝑄′(𝜉	𝑐2𝑄′(𝜉	PROPN
cana-4666	132	14	)	)	PUNCT
cana-4666	132	15	−	−	NOUN
cana-4666	132	16	𝑄′′(𝜉	𝑄′′(𝜉	NOUN
cana-4666	132	17	)	)	PUNCT
cana-4666	132	18	𝑔2	𝑔2	VERB
cana-4666	132	19	−	−	NOUN
cana-4666	132	20	𝑎2𝑄(𝜉	𝑎2𝑄(𝜉	ADJ
cana-4666	132	21	)	)	PUNCT
cana-4666	132	22	+	+	CCONJ
cana-4666	132	23	𝑏2𝑄3(𝜉	𝑏2𝑄3(𝜉	X
cana-4666	132	24	)	)	PUNCT
cana-4666	132	25	=	=	SYM
cana-4666	132	26	0	0	NUM
cana-4666	132	27	…	…	SYM
cana-4666	132	28	……	……	NOUN
cana-4666	132	29	..	..	PUNCT
cana-4666	132	30	,	,	PUNCT
cana-4666	132	31	(	(	PUNCT
cana-4666	132	32	15	15	X
cana-4666	132	33	)	)	PUNCT
cana-4666	132	34	applying	apply	VERB
cana-4666	132	35	lie	lie	NOUN
cana-4666	132	36	group	group	NOUN
cana-4666	132	37	of	of	ADP
cana-4666	132	38	transformation	transformation	NOUN
cana-4666	132	39	in	in	ADP
cana-4666	132	40	eq	eq	ADP
cana-4666	132	41	.	.	PUNCT
cana-4666	133	1	(	(	PUNCT
cana-4666	133	2	1	1	NUM
cana-4666	133	3	)	)	PUNCT
cana-4666	133	4	,	,	PUNCT
cana-4666	133	5	we	we	PRON
cana-4666	133	6	get	get	VERB
cana-4666	133	7	infinitesimal	infinitesimal	ADJ
cana-4666	133	8	equation	equation	NOUN
cana-4666	133	9	communications	communication	NOUN
cana-4666	133	10	on	on	ADP
cana-4666	133	11	applied	apply	VERB
cana-4666	133	12	nonlinear	nonlinear	ADJ
cana-4666	133	13	analysis	analysis	NOUN
cana-4666	133	14	issn	issn	NOUN
cana-4666	133	15	:	:	PUNCT
cana-4666	133	16	1074	1074	NUM
cana-4666	133	17	-	-	PUNCT
cana-4666	133	18	133x	133x	NUM
cana-4666	133	19	vol	vol	VERB
cana-4666	133	20	32	32	NUM
cana-4666	133	21	no	no	NOUN
cana-4666	133	22	.	.	PUNCT
cana-4666	134	1	10s	10	NOUN
cana-4666	134	2	(	(	PUNCT
cana-4666	134	3	2025	2025	NUM
cana-4666	134	4	)	)	PUNCT
cana-4666	135	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	135	2	109	109	NUM
cana-4666	135	3	ɳƫ	ɳƫ	PROPN
cana-4666	135	4	ᾱ	ᾱ	PRON
cana-4666	135	5	−	−	PROPN
cana-4666	135	6	ɳ𝜘𝜘	ɳ𝜘𝜘	NOUN
cana-4666	135	7	−	−	PROPN
cana-4666	135	8	𝐴(ũ𝑝ɳ𝜘	𝐴(ũ𝑝ɳ𝜘	PROPN
cana-4666	136	1	+	+	CCONJ
cana-4666	136	2	𝑝ũ𝑝−1ɳũ𝜘)=0	𝑝ũ𝑝−1ɳũ𝜘)=0	PROPN
cana-4666	136	3	(	(	PUNCT
cana-4666	136	4	16	16	NUM
cana-4666	136	5	)	)	PUNCT
cana-4666	136	6	substituting	substitute	VERB
cana-4666	136	7	the	the	DET
cana-4666	136	8	values	value	NOUN
cana-4666	136	9	of	of	ADP
cana-4666	136	10	ɳ𝜘𝜘	ɳ𝜘𝜘	NOUN
cana-4666	136	11	and	and	CCONJ
cana-4666	136	12	ɳƫ	ɳƫ	PROPN
cana-4666	136	13	ᾱ	ᾱ	X
cana-4666	136	14	into	into	ADP
cana-4666	136	15	(	(	PUNCT
cana-4666	136	16	16	16	NUM
cana-4666	136	17	)	)	PUNCT
cana-4666	136	18	.	.	PUNCT
cana-4666	137	1	in	in	ADP
cana-4666	137	2	partial	partial	ADJ
cana-4666	137	3	derivatives	derivative	NOUN
cana-4666	137	4	of	of	ADP
cana-4666	137	5	where	where	SCONJ
cana-4666	137	6	0	0	NUM
cana-4666	137	7	<	<	X
cana-4666	137	8	ᾱ	ᾱ	X
cana-4666	137	9	≤	≤	NUM
cana-4666	137	10	1	1	NUM
cana-4666	137	11	and	and	CCONJ
cana-4666	137	12	the	the	DET
cana-4666	137	13	parameter	parameter	NOUN
cana-4666	138	1	ᾱ	ᾱ	X
cana-4666	138	2	represents	represent	VERB
cana-4666	138	3	order	order	NOUN
cana-4666	138	4	of	of	ADP
cana-4666	138	5	conformable	conformable	ADJ
cana-4666	138	6	fractional	fractional	ADJ
cana-4666	138	7	derivatives	derivative	NOUN
cana-4666	138	8	,	,	PUNCT
cana-4666	138	9	equate	equate	VERB
cana-4666	138	10	the	the	DET
cana-4666	138	11	coefficients	coefficient	NOUN
cana-4666	138	12	of	of	ADP
cana-4666	138	13	the	the	DET
cana-4666	138	14	various	various	ADJ
cana-4666	138	15	equations	equation	NOUN
cana-4666	138	16	.	.	PUNCT
cana-4666	139	1	the	the	DET
cana-4666	139	2	infinitesimal	infinitesimal	ADJ
cana-4666	139	3	equation	equation	NOUN
cana-4666	139	4	is	be	AUX
cana-4666	139	5	given	give	VERB
cana-4666	139	6	by	by	ADP
cana-4666	139	7	ũ	ũ	PRON
cana-4666	139	8	and	and	CCONJ
cana-4666	139	9	determining	determine	VERB
cana-4666	139	10	equations	equation	NOUN
cana-4666	139	11	are	be	AUX
cana-4666	139	12	obtained	obtain	VERB
cana-4666	139	13	for	for	ADP
cana-4666	139	14	the	the	DET
cana-4666	139	15	symmetry	symmetry	NOUN
cana-4666	139	16	of	of	ADP
cana-4666	139	17	eq	eq	PROPN
cana-4666	139	18	.	.	PUNCT
cana-4666	140	1	(	(	PUNCT
cana-4666	140	2	16	16	NUM
cana-4666	140	3	)	)	PUNCT
cana-4666	140	4	by	by	ADP
cana-4666	140	5	the	the	DET
cana-4666	140	6	lie	lie	NOUN
cana-4666	140	7	theory	theory	NOUN
cana-4666	140	8	.	.	PUNCT
cana-4666	141	1	𝐷1(𝜏	𝐷1(𝜏	NOUN
cana-4666	141	2	)	)	PUNCT
cana-4666	142	1	=	=	PUNCT
cana-4666	142	2	0	0	NUM
cana-4666	142	3	𝐷3,3(𝜉	𝐷3,3(𝜉	NOUN
cana-4666	142	4	)	)	PUNCT
cana-4666	143	1	=	=	SYM
cana-4666	143	2	0	0	NUM
cana-4666	143	3	,	,	PUNCT
cana-4666	143	4	𝐷3(𝜉	𝐷3(𝜉	NOUN
cana-4666	143	5	)	)	PUNCT
cana-4666	143	6	=	=	SYM
cana-4666	143	7	0	0	NUM
cana-4666	143	8	,	,	PUNCT
cana-4666	143	9	𝐷3,3(ɳ	𝐷3,3(ɳ	NOUN
cana-4666	143	10	)	)	PUNCT
cana-4666	143	11	=	=	SYM
cana-4666	143	12	0	0	NUM
cana-4666	143	13	𝐷1,1(𝜉	𝐷1,1(𝜉	NOUN
cana-4666	143	14	)	)	PUNCT
cana-4666	143	15	−	−	NOUN
cana-4666	143	16	ƫ	ƫ	NOUN
cana-4666	143	17	1−ᾱ𝐷2(𝜉	1−ᾱ𝐷2(𝜉	NUM
cana-4666	143	18	)	)	PUNCT
cana-4666	143	19	−	−	PROPN
cana-4666	144	1	𝐴ũ	𝐴ũ	NOUN
cana-4666	144	2	𝑝𝐷1(𝜉	𝑝𝐷1(𝜉	NOUN
cana-4666	144	3	)	)	PUNCT
cana-4666	144	4	−	−	ADP
cana-4666	144	5	2𝐷1,3(ɳ	2𝐷1,3(ɳ	NUM
cana-4666	144	6	)	)	PUNCT
cana-4666	144	7	−	−	PROPN
cana-4666	145	1	𝐴𝑝ũ	𝐴𝑝ũ	PROPN
cana-4666	145	2	𝑝−1ɳ	𝑝−1ɳ	X
cana-4666	145	3	=	=	SYM
cana-4666	145	4	0	0	NUM
cana-4666	145	5	−	−	NOUN
cana-4666	145	6	𝜏ᾱƫ−ᾱ	𝜏ᾱƫ−ᾱ	NOUN
cana-4666	145	7	+	+	CCONJ
cana-4666	145	8	ƫ1−ᾱɳũ	ƫ1−ᾱɳũ	DET
cana-4666	145	9	−	−	NUM
cana-4666	145	10	ƫ	ƫ	PROPN
cana-4666	145	11	1−ᾱ𝜏ƫ	1−ᾱ𝜏ƫ	PROPN
cana-4666	145	12	+	+	CCONJ
cana-4666	145	13	𝜏ƫ	𝜏ƫ	X
cana-4666	145	14	−ᾱ	−ᾱ	ADV
cana-4666	145	15	=	=	SYM
cana-4666	145	16	0	0	NUM
cana-4666	145	17	(	(	PUNCT
cana-4666	145	18	17	17	NUM
cana-4666	145	19	)	)	PUNCT
cana-4666	145	20	ƫ1−ᾱɳƫ	ƫ1−ᾱɳƫ	NOUN
cana-4666	146	1	−	−	NOUN
cana-4666	146	2	𝑎ũ	𝑎ũ	ADP
cana-4666	146	3	𝑝ɳ𝜘	𝑝ɳ𝜘	PROPN
cana-4666	147	1	−	−	PROPN
cana-4666	147	2	ɳ𝜘𝜘	ɳ𝜘𝜘	PUNCT
cana-4666	148	1	=	=	PUNCT
cana-4666	148	2	0	0	NUM
cana-4666	148	3	2𝜉𝜘	2𝜉𝜘	ADJ
cana-4666	148	4	−	−	NOUN
cana-4666	148	5	ɳũ	ɳũ	NOUN
cana-4666	148	6	=	=	SYM
cana-4666	148	7	0	0	NOUN
cana-4666	148	8	these	these	DET
cana-4666	148	9	determining	determine	VERB
cana-4666	148	10	equations	equation	NOUN
cana-4666	148	11	can	can	AUX
cana-4666	148	12	be	be	AUX
cana-4666	148	13	solved	solve	VERB
cana-4666	148	14	to	to	PART
cana-4666	148	15	obtain	obtain	VERB
cana-4666	148	16	ɳ	ɳ	X
cana-4666	148	17	=	=	PUNCT
cana-4666	148	18	ũƈ1	ũƈ1	NOUN
cana-4666	148	19	𝜉	𝜉	X
cana-4666	148	20	=	=	SYM
cana-4666	148	21	−𝑝ƈ1𝜘	−𝑝ƈ1𝜘	PROPN
cana-4666	148	22	+	+	CCONJ
cana-4666	149	1	ƈ2	ƈ2	NOUN
cana-4666	149	2	(	(	PUNCT
cana-4666	149	3	18	18	NUM
cana-4666	149	4	)	)	PUNCT
cana-4666	149	5	𝜏	𝜏	NOUN
cana-4666	149	6	=	=	SYM
cana-4666	149	7	−2𝑝ƈ1ƫ	−2𝑝ƈ1ƫ	NOUN
cana-4666	149	8	ᾱ	ᾱ	NOUN
cana-4666	149	9	+	+	NOUN
cana-4666	149	10	ƈ3ƫ	ƈ3ƫ	PUNCT
cana-4666	149	11	1−ᾱ	1−ᾱ	NUM
cana-4666	149	12	vector	vector	NOUN
cana-4666	149	13	fields	field	NOUN
cana-4666	149	14	span	span	VERB
cana-4666	149	15	the	the	DET
cana-4666	149	16	associated	associated	ADJ
cana-4666	149	17	symmetry	symmetry	NOUN
cana-4666	149	18	group	group	NOUN
cana-4666	149	19	are	be	AUX
cana-4666	149	20	𝑉1	𝑉1	NOUN
cana-4666	149	21	=	=	SYM
cana-4666	149	22	ũ	ũ	PROPN
cana-4666	149	23	𝜕	𝜕	PROPN
cana-4666	149	24	𝜕ũ	𝜕ũ	PROPN
cana-4666	149	25	−	−	PROPN
cana-4666	149	26	𝑝𝜘	𝑝𝜘	VERB
cana-4666	149	27	𝜕	𝜕	NOUN
cana-4666	149	28	𝜕𝜘	𝜕𝜘	PROPN
cana-4666	149	29	−	−	PROPN
cana-4666	149	30	2𝑝	2𝑝	NOUN
cana-4666	149	31	ƫ	ƫ	PROPN
cana-4666	149	32	ᾱ	ᾱ	PRON
cana-4666	149	33	𝜕	𝜕	PROPN
cana-4666	149	34	𝜕ƫ	𝜕ƫ	PROPN
cana-4666	149	35	𝑉2	𝑉2	NOUN
cana-4666	149	36	=	=	SYM
cana-4666	149	37	𝜕	𝜕	NOUN
cana-4666	149	38	𝜕𝜘	𝜕𝜘	PROPN
cana-4666	149	39	(	(	PUNCT
cana-4666	149	40	19	19	NUM
cana-4666	149	41	)	)	PUNCT
cana-4666	149	42	𝑉3	𝑉3	NOUN
cana-4666	149	43	=	=	SYM
cana-4666	149	44	ƫ	ƫ	X
cana-4666	149	45	1−ᾱ	1−ᾱ	NUM
cana-4666	149	46	𝜕	𝜕	PROPN
cana-4666	149	47	𝜕ƫ	𝜕ƫ	PROPN
cana-4666	149	48	the	the	DET
cana-4666	149	49	equivalent	equivalent	ADJ
cana-4666	149	50	solution	solution	NOUN
cana-4666	149	51	is	be	AUX
cana-4666	149	52	𝜉	𝜉	X
cana-4666	149	53	=	=	PUNCT
cana-4666	149	54	𝑥	𝑥	PROPN
cana-4666	149	55	−	−	PROPN
cana-4666	150	1	ƈ	ƈ	INTJ
cana-4666	150	2	ƫᾱ	ƫᾱ	PROPN
cana-4666	150	3	ᾱ	ᾱ	NOUN
cana-4666	150	4	for	for	ADP
cana-4666	150	5	the	the	DET
cana-4666	150	6	symmetry	symmetry	NOUN
cana-4666	150	7	𝑉2	𝑉2	NOUN
cana-4666	150	8	+	+	CCONJ
cana-4666	150	9	𝑉3	𝑉3	NOUN
cana-4666	150	10	.	.	PUNCT
cana-4666	151	1	communications	communication	NOUN
cana-4666	151	2	on	on	ADP
cana-4666	151	3	applied	apply	VERB
cana-4666	151	4	nonlinear	nonlinear	ADJ
cana-4666	151	5	analysis	analysis	NOUN
cana-4666	151	6	issn	issn	NOUN
cana-4666	151	7	:	:	PUNCT
cana-4666	151	8	1074	1074	NUM
cana-4666	151	9	-	-	PUNCT
cana-4666	151	10	133x	133x	NUM
cana-4666	151	11	vol	vol	VERB
cana-4666	151	12	32	32	NUM
cana-4666	151	13	no	no	NOUN
cana-4666	151	14	.	.	PUNCT
cana-4666	152	1	10s	10	NOUN
cana-4666	152	2	(	(	PUNCT
cana-4666	152	3	2025	2025	NUM
cana-4666	152	4	)	)	PUNCT
cana-4666	152	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	152	6	110	110	NUM
cana-4666	152	7	6	6	NUM
cana-4666	152	8	.	.	PUNCT
cana-4666	153	1	series	series	NOUN
cana-4666	153	2	solution	solution	NOUN
cana-4666	153	3	of	of	ADP
cana-4666	153	4	kdv	kdv	NOUN
cana-4666	153	5	nlfpdes	nlfpde	VERB
cana-4666	153	6	:	:	PUNCT
cana-4666	153	7	𝑉1	𝑉1	PROPN
cana-4666	153	8	=	=	SYM
cana-4666	153	9	ũ	ũ	PROPN
cana-4666	153	10	𝜕	𝜕	PROPN
cana-4666	153	11	𝜕ũ	𝜕ũ	PROPN
cana-4666	153	12	−	−	PROPN
cana-4666	153	13	𝑝𝜘	𝑝𝜘	VERB
cana-4666	153	14	𝜕	𝜕	NOUN
cana-4666	153	15	𝜕𝜘	𝜕𝜘	PROPN
cana-4666	154	1	−	−	PROPN
cana-4666	154	2	2𝑝	2𝑝	NOUN
cana-4666	154	3	ƫ	ƫ	PROPN
cana-4666	154	4	ᾱ	ᾱ	PRON
cana-4666	154	5	𝜕	𝜕	PROPN
cana-4666	154	6	𝜕ƫ	𝜕ƫ	PROPN
cana-4666	154	7	𝑑𝑥	𝑑𝑥	VERB
cana-4666	154	8	−𝑝𝜘	−𝑝𝜘	NOUN
cana-4666	154	9	=	=	SYM
cana-4666	154	10	ᾱ𝑑ƫ	ᾱ𝑑ƫ	NOUN
cana-4666	154	11	−2𝑝ƫ	−2𝑝ƫ	NOUN
cana-4666	154	12	=	=	SYM
cana-4666	154	13	𝑑ũ	𝑑ũ	PROPN
cana-4666	154	14	ũ	ũ	PROPN
cana-4666	154	15	…	…	PUNCT
cana-4666	154	16	…	…	PUNCT
cana-4666	154	17	…	…	PUNCT
cana-4666	154	18	…	…	PUNCT
cana-4666	154	19	.	.	NUM
cana-4666	154	20	,	,	PUNCT
cana-4666	154	21	(	(	PUNCT
cana-4666	154	22	20	20	NUM
cana-4666	154	23	)	)	PUNCT
cana-4666	154	24	now	now	ADV
cana-4666	154	25	solving	solve	VERB
cana-4666	154	26	eq	eq	ADP
cana-4666	154	27	.	.	PUNCT
cana-4666	155	1	(	(	PUNCT
cana-4666	155	2	20	20	NUM
cana-4666	155	3	)	)	PUNCT
cana-4666	155	4	,	,	PUNCT
cana-4666	155	5	we	we	PRON
cana-4666	155	6	get	get	VERB
cana-4666	155	7	the	the	DET
cana-4666	155	8	similarity	similarity	NOUN
cana-4666	155	9	variable	variable	NOUN
cana-4666	155	10	ũ	ũ	PROPN
cana-4666	155	11	=	=	PUNCT
cana-4666	156	1	ƫ	ƫ	PROPN
cana-4666	156	2	−	−	PROPN
cana-4666	156	3	ᾱ	ᾱ	NOUN
cana-4666	156	4	2𝑝𝐹(𝜉	2𝑝𝐹(𝜉	NUM
cana-4666	156	5	)	)	PUNCT
cana-4666	156	6	,	,	PUNCT
cana-4666	156	7	𝜉	𝜉	X
cana-4666	156	8	=	=	VERB
cana-4666	156	9	𝑥ƫ	𝑥ƫ	PROPN
cana-4666	156	10	ᾱ	ᾱ	NOUN
cana-4666	156	11	2	2	NUM
cana-4666	156	12	…	…	SYM
cana-4666	156	13	…	…	SYM
cana-4666	156	14	……	……	NOUN
cana-4666	156	15	,	,	PUNCT
cana-4666	156	16	(	(	PUNCT
cana-4666	156	17	21	21	NUM
cana-4666	156	18	)	)	PUNCT
cana-4666	156	19	inserting	insert	VERB
cana-4666	156	20	these	these	DET
cana-4666	156	21	values	value	NOUN
cana-4666	156	22	in	in	ADP
cana-4666	156	23	eq	eq	ADP
cana-4666	156	24	.	.	PUNCT
cana-4666	157	1	(	(	PUNCT
cana-4666	157	2	1	1	NUM
cana-4666	157	3	)	)	PUNCT
cana-4666	157	4	,	,	PUNCT
cana-4666	157	5	which	which	PRON
cana-4666	157	6	yields	yield	VERB
cana-4666	157	7	−	−	PROPN
cana-4666	157	8	ᾱ	ᾱ	SYM
cana-4666	157	9	2𝑝	2𝑝	NUM
cana-4666	158	1	ƫ	ƫ	NOUN
cana-4666	158	2	−	−	PROPN
cana-4666	158	3	ᾱ	ᾱ	PRON
cana-4666	158	4	2𝑝	2𝑝	NOUN
cana-4666	158	5	−ᾱ	−ᾱ	ADV
cana-4666	158	6	𝐹(𝜉	𝐹(𝜉	NUM
cana-4666	158	7	)	)	PUNCT
cana-4666	159	1	−	−	DET
cana-4666	159	2	ᾱ	ᾱ	NOUN
cana-4666	159	3	2	2	NUM
cana-4666	159	4	ƫ	ƫ	NOUN
cana-4666	159	5	−	−	NOUN
cana-4666	159	6	ᾱ	ᾱ	PRON
cana-4666	159	7	2𝑝	2𝑝	NOUN
cana-4666	159	8	−ᾱ	−ᾱ	PROPN
cana-4666	159	9	𝜉𝐹′(𝜉	𝜉𝐹′(𝜉	PROPN
cana-4666	159	10	)	)	PUNCT
cana-4666	159	11	−	−	PROPN
cana-4666	159	12	ƫ	ƫ	NOUN
cana-4666	159	13	−	−	X
cana-4666	159	14	ᾱ	ᾱ	NOUN
cana-4666	159	15	2𝑝𝐹′′(𝜉)ƫ−ᾱ	2𝑝𝐹′′(𝜉)ƫ−ᾱ	NUM
cana-4666	159	16	−	−	PROPN
cana-4666	159	17	𝐴ƫ−	𝐴ƫ−	PROPN
cana-4666	159	18	ᾱ	ᾱ	NOUN
cana-4666	159	19	2𝐹𝑝(𝜉)ƫ	2𝐹𝑝(𝜉)ƫ	NUM
cana-4666	159	20	−	−	NOUN
cana-4666	159	21	ᾱ	ᾱ	PRON
cana-4666	159	22	2𝑝𝐹′(𝜉)ƫ−	2𝑝𝐹′(𝜉)ƫ−	NOUN
cana-4666	159	23	ᾱ	ᾱ	NOUN
cana-4666	159	24	2	2	NUM
cana-4666	159	25	=	=	SYM
cana-4666	159	26	0	0	NUM
cana-4666	159	27	…	…	PUNCT
cana-4666	159	28	…	…	PUNCT
cana-4666	159	29	…	…	PUNCT
cana-4666	159	30	..	..	PUNCT
cana-4666	159	31	,	,	PUNCT
cana-4666	159	32	(	(	PUNCT
cana-4666	159	33	22	22	NUM
cana-4666	159	34	)	)	PUNCT
cana-4666	159	35	to	to	PART
cana-4666	159	36	obtain	obtain	VERB
cana-4666	159	37	a	a	DET
cana-4666	159	38	solution	solution	NOUN
cana-4666	159	39	of	of	ADP
cana-4666	159	40	eq	eq	PROPN
cana-4666	159	41	.	.	PUNCT
cana-4666	160	1	(	(	PUNCT
cana-4666	160	2	22	22	NUM
cana-4666	160	3	)	)	PUNCT
cana-4666	160	4	we	we	PRON
cana-4666	160	5	take	take	VERB
cana-4666	160	6	𝐹(𝜉	𝐹(𝜉	NUM
cana-4666	160	7	)	)	PUNCT
cana-4666	160	8	=	=	SYM
cana-4666	161	1	𝐴(𝜉)𝑝	𝐴(𝜉)𝑝	NUM
cana-4666	161	2	…	…	PUNCT
cana-4666	161	3	…	…	NUM
cana-4666	161	4	.	.	NUM
cana-4666	161	5	,	,	PUNCT
cana-4666	161	6	(	(	PUNCT
cana-4666	161	7	23	23	NUM
cana-4666	161	8	)	)	PUNCT
cana-4666	161	9	where	where	SCONJ
cana-4666	161	10	a	a	PRON
cana-4666	161	11	and	and	CCONJ
cana-4666	161	12	p	p	NOUN
cana-4666	161	13	are	be	AUX
cana-4666	161	14	constant	constant	ADJ
cana-4666	161	15	.	.	PUNCT
cana-4666	162	1	equating	equate	VERB
cana-4666	162	2	the	the	DET
cana-4666	162	3	similar	similar	ADJ
cana-4666	162	4	exponent	exponent	NOUN
cana-4666	162	5	of	of	ADP
cana-4666	162	6	𝜉	𝜉	PROPN
cana-4666	162	7	,	,	PUNCT
cana-4666	162	8	we	we	PRON
cana-4666	162	9	get	get	VERB
cana-4666	162	10	𝑝	𝑝	NOUN
cana-4666	162	11	=	=	SYM
cana-4666	162	12	−	−	PROPN
cana-4666	162	13	1	1	NUM
cana-4666	162	14	𝑞	𝑞	NOUN
cana-4666	162	15	.	.	PUNCT
cana-4666	163	1	substituting	substitute	VERB
cana-4666	163	2	(	(	PUNCT
cana-4666	163	3	23	23	NUM
cana-4666	163	4	)	)	PUNCT
cana-4666	163	5	in	in	ADP
cana-4666	163	6	to	to	ADP
cana-4666	163	7	(	(	PUNCT
cana-4666	163	8	22	22	NUM
cana-4666	163	9	)	)	PUNCT
cana-4666	163	10	,	,	PUNCT
cana-4666	163	11	the	the	DET
cana-4666	163	12	following	follow	VERB
cana-4666	163	13	solution	solution	NOUN
cana-4666	163	14	is	be	AUX
cana-4666	163	15	ũ	ũ	PROPN
cana-4666	163	16	=	=	PUNCT
cana-4666	163	17	−𝑥𝑝ƫ	−𝑥𝑝ƫ	X
cana-4666	163	18	−ᾱ(1+𝑝2	−ᾱ(1+𝑝2	PROPN
cana-4666	163	19	)	)	PUNCT
cana-4666	163	20	2𝑝	2𝑝	NOUN
cana-4666	163	21	(	(	PUNCT
cana-4666	163	22	𝑝	𝑝	PROPN
cana-4666	163	23	+	+	CCONJ
cana-4666	163	24	1	1	PROPN
cana-4666	163	25	𝑝	𝑝	NOUN
cana-4666	163	26	)	)	PUNCT
cana-4666	164	1	1	1	NUM
cana-4666	164	2	𝑝+1	𝑝+1	NUM
cana-4666	164	3	7	7	NUM
cana-4666	164	4	.	.	PUNCT
cana-4666	164	5	wave	wave	NOUN
cana-4666	164	6	solution	solution	NOUN
cana-4666	164	7	of	of	ADP
cana-4666	164	8	kdv	kdv	ADJ
cana-4666	164	9	fractional	fractional	ADJ
cana-4666	164	10	equation	equation	NOUN
cana-4666	164	11	:	:	PUNCT
cana-4666	164	12	the	the	DET
cana-4666	164	13	(	(	PUNCT
cana-4666	164	14	𝑮′	𝑮′	PROPN
cana-4666	164	15	𝑮	𝑮	PROPN
cana-4666	164	16	)	)	PUNCT
cana-4666	164	17	expansion	expansion	NOUN
cana-4666	164	18	method	method	NOUN
cana-4666	164	19	[	[	X
cana-4666	164	20	23	23	NUM
cana-4666	164	21	]	]	PUNCT
cana-4666	164	22	is	be	AUX
cana-4666	164	23	used	use	VERB
cana-4666	164	24	to	to	PART
cana-4666	164	25	solve	solve	VERB
cana-4666	164	26	the	the	DET
cana-4666	164	27	nlfpdes	nlfpde	NOUN
cana-4666	164	28	defined	define	VERB
cana-4666	164	29	as	as	ADP
cana-4666	164	30	the	the	DET
cana-4666	164	31	kdv	kdv	NOUN
cana-4666	164	32	as	as	SCONJ
cana-4666	164	33	given	give	VERB
cana-4666	164	34	ũƫ	ũƫ	ADP
cana-4666	164	35	ᾱ	ᾱ	PRON
cana-4666	164	36	−	−	NOUN
cana-4666	164	37	ũ𝜘𝜘	ũ𝜘𝜘	ADV
cana-4666	164	38	−	−	PROPN
cana-4666	165	1	𝐴ũ	𝐴ũ	NOUN
cana-4666	165	2	𝑝ũ𝜘	𝑝ũ𝜘	NOUN
cana-4666	165	3	=	=	NOUN
cana-4666	165	4	0	0	NUM
cana-4666	165	5	…	…	PUNCT
cana-4666	165	6	…	…	PUNCT
cana-4666	165	7	…	…	PUNCT
cana-4666	165	8	…	…	PUNCT
cana-4666	165	9	..	..	PUNCT
cana-4666	165	10	,	,	PUNCT
cana-4666	165	11	(	(	PUNCT
cana-4666	165	12	24	24	NUM
cana-4666	165	13	)	)	PUNCT
cana-4666	165	14	and	and	CCONJ
cana-4666	165	15	wave	wave	NOUN
cana-4666	165	16	transformation	transformation	NOUN
cana-4666	165	17	is	be	AUX
cana-4666	165	18	ũ	ũ	NOUN
cana-4666	165	19	=	=	PUNCT
cana-4666	165	20	𝐹(𝜉	𝐹(𝜉	NUM
cana-4666	165	21	)	)	PUNCT
cana-4666	165	22	,	,	PUNCT
cana-4666	165	23	𝜉	𝜉	X
cana-4666	165	24	=	=	VERB
cana-4666	165	25	𝑥	𝑥	PROPN
cana-4666	165	26	−	−	PROPN
cana-4666	166	1	ƈ	ƈ	INTJ
cana-4666	166	2	ƫᾱ	ƫᾱ	PROPN
cana-4666	166	3	ᾱ	ᾱ	X
cana-4666	166	4	…	…	PUNCT
cana-4666	166	5	…	…	PUNCT
cana-4666	166	6	…	…	PUNCT
cana-4666	166	7	…	…	SYM
cana-4666	166	8	……	……	NOUN
cana-4666	166	9	.	.	PUNCT
cana-4666	166	10	,	,	PUNCT
cana-4666	166	11	(	(	PUNCT
cana-4666	166	12	25	25	NUM
cana-4666	166	13	)	)	PUNCT
cana-4666	166	14	now	now	ADV
cana-4666	166	15	modify	modify	VERB
cana-4666	166	16	the	the	DET
cana-4666	166	17	eq	eq	NOUN
cana-4666	166	18	.	.	PUNCT
cana-4666	167	1	(	(	PUNCT
cana-4666	167	2	1	1	X
cana-4666	167	3	)	)	PUNCT
cana-4666	167	4	into	into	ADP
cana-4666	167	5	ode	ode	PROPN
cana-4666	167	6	as	as	SCONJ
cana-4666	167	7	communications	communication	NOUN
cana-4666	167	8	on	on	ADP
cana-4666	167	9	applied	apply	VERB
cana-4666	167	10	nonlinear	nonlinear	ADJ
cana-4666	167	11	analysis	analysis	NOUN
cana-4666	167	12	issn	issn	NOUN
cana-4666	167	13	:	:	PUNCT
cana-4666	167	14	1074	1074	NUM
cana-4666	167	15	-	-	PUNCT
cana-4666	167	16	133x	133x	NUM
cana-4666	167	17	vol	vol	VERB
cana-4666	167	18	32	32	NUM
cana-4666	167	19	no	no	NOUN
cana-4666	167	20	.	.	PUNCT
cana-4666	168	1	10s	10	NOUN
cana-4666	168	2	(	(	PUNCT
cana-4666	168	3	2025	2025	NUM
cana-4666	168	4	)	)	PUNCT
cana-4666	169	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	169	2	111	111	NUM
cana-4666	169	3	−ƈ𝐹′(𝜉	−ƈ𝐹′(𝜉	NOUN
cana-4666	169	4	)	)	PUNCT
cana-4666	169	5	−	−	ADP
cana-4666	169	6	𝐹′′(𝜉	𝐹′′(𝜉	NOUN
cana-4666	169	7	)	)	PUNCT
cana-4666	170	1	−	−	PROPN
cana-4666	170	2	𝐴𝐹′(𝜉)𝐹𝑝(𝜉	𝐴𝐹′(𝜉)𝐹𝑝(𝜉	NOUN
cana-4666	170	3	)	)	PUNCT
cana-4666	170	4	=	=	SYM
cana-4666	170	5	0	0	NUM
cana-4666	170	6	…	…	PUNCT
cana-4666	170	7	…	…	PUNCT
cana-4666	170	8	…	…	PUNCT
cana-4666	170	9	..	..	PUNCT
cana-4666	170	10	,	,	PUNCT
cana-4666	170	11	(	(	PUNCT
cana-4666	170	12	26	26	NUM
cana-4666	170	13	)	)	PUNCT
cana-4666	170	14	integrate	integrate	VERB
cana-4666	170	15	eq	eq	ADP
cana-4666	170	16	.	.	PUNCT
cana-4666	171	1	(	(	PUNCT
cana-4666	171	2	27	27	NUM
cana-4666	171	3	)	)	PUNCT
cana-4666	171	4	,	,	PUNCT
cana-4666	171	5	we	we	PRON
cana-4666	171	6	get	get	VERB
cana-4666	171	7	−ƈ𝐹(𝜉	−ƈ𝐹(𝜉	ADJ
cana-4666	171	8	)	)	PUNCT
cana-4666	171	9	−	−	NUM
cana-4666	171	10	𝐹′(𝜉	𝐹′(𝜉	NOUN
cana-4666	171	11	)	)	PUNCT
cana-4666	171	12	−	−	PROPN
cana-4666	171	13	𝐴	𝐴	PROPN
cana-4666	171	14	𝐹𝑝+1(𝜉	𝐹𝑝+1(𝜉	NUM
cana-4666	171	15	)	)	PUNCT
cana-4666	172	1	𝑝+1	𝑝+1	PROPN
cana-4666	172	2	=	=	SYM
cana-4666	172	3	0	0	NUM
cana-4666	172	4	…	…	PUNCT
cana-4666	172	5	…	…	PUNCT
cana-4666	172	6	..	..	PUNCT
cana-4666	172	7	,	,	PUNCT
cana-4666	172	8	(	(	PUNCT
cana-4666	172	9	27	27	NUM
cana-4666	172	10	)	)	PUNCT
cana-4666	172	11	the	the	DET
cana-4666	172	12	non	non	ADJ
cana-4666	172	13	-	-	ADJ
cana-4666	172	14	linear	linear	ADJ
cana-4666	172	15	terms	term	NOUN
cana-4666	172	16	and	and	CCONJ
cana-4666	172	17	highest	high	ADJ
cana-4666	172	18	order	order	NOUN
cana-4666	172	19	derivatives	derivative	NOUN
cana-4666	172	20	identified	identify	VERB
cana-4666	172	21	in	in	ADP
cana-4666	172	22	eq	eq	PROPN
cana-4666	172	23	.	.	PUNCT
cana-4666	173	1	(	(	PUNCT
cana-4666	173	2	26	26	NUM
cana-4666	173	3	)	)	PUNCT
cana-4666	173	4	that	that	PRON
cana-4666	173	5	is	be	AUX
cana-4666	173	6	not	not	PART
cana-4666	173	7	positive	positive	ADJ
cana-4666	173	8	integers	integer	NOUN
cana-4666	173	9	then	then	ADV
cana-4666	173	10	using	use	VERB
cana-4666	173	11	the	the	DET
cana-4666	173	12	homogeneous	homogeneous	ADJ
cana-4666	173	13	balance	balance	NOUN
cana-4666	173	14	approach	approach	NOUN
cana-4666	173	15	,	,	PUNCT
cana-4666	173	16	we	we	PRON
cana-4666	173	17	obtain	obtain	VERB
cana-4666	173	18	the	the	DET
cana-4666	173	19	positive	positive	ADJ
cana-4666	173	20	integer	integer	NOUN
cana-4666	173	21	𝑚	𝑚	NOUN
cana-4666	173	22	=	=	SYM
cana-4666	173	23	1	1	NUM
cana-4666	173	24	𝑝	𝑝	NOUN
cana-4666	173	25	.	.	PUNCT
cana-4666	174	1	considering	consider	VERB
cana-4666	174	2	the	the	DET
cana-4666	174	3	solution	solution	NOUN
cana-4666	174	4	in	in	ADP
cana-4666	174	5	the	the	DET
cana-4666	174	6	form	form	NOUN
cana-4666	174	7	as	as	ADP
cana-4666	174	8	𝐹(𝜉	𝐹(𝜉	VERB
cana-4666	174	9	)	)	PUNCT
cana-4666	174	10	=	=	SYM
cana-4666	174	11	𝐴	𝐴	PROPN
cana-4666	174	12	(	(	PUNCT
cana-4666	174	13	𝐺′	𝐺′	PROPN
cana-4666	174	14	𝐺	𝐺	PROPN
cana-4666	174	15	)	)	PUNCT
cana-4666	174	16	1	1	NUM
cana-4666	174	17	𝑝	𝑝	PROPN
cana-4666	174	18	,	,	PUNCT
cana-4666	174	19	𝑝	𝑝	NOUN
cana-4666	174	20	>	>	X
cana-4666	174	21	0	0	NUM
cana-4666	174	22	…	…	PUNCT
cana-4666	174	23	…	…	PUNCT
cana-4666	174	24	…	…	PUNCT
cana-4666	174	25	,	,	PUNCT
cana-4666	174	26	(	(	PUNCT
cana-4666	174	27	28	28	NUM
cana-4666	174	28	)	)	PUNCT
cana-4666	174	29	where	where	SCONJ
cana-4666	174	30	a	a	PRON
cana-4666	174	31	is	be	AUX
cana-4666	174	32	constant	constant	ADJ
cana-4666	174	33	to	to	PART
cana-4666	174	34	be	be	AUX
cana-4666	174	35	find	find	VERB
cana-4666	174	36	out	out	ADP
cana-4666	174	37	.	.	PUNCT
cana-4666	175	1	now	now	ADV
cana-4666	175	2	eq	eq	ADP
cana-4666	175	3	.	.	PUNCT
cana-4666	176	1	(	(	PUNCT
cana-4666	176	2	28	28	NUM
cana-4666	176	3	)	)	PUNCT
cana-4666	176	4	becomes	become	VERB
cana-4666	176	5	−ƈ𝐴𝑋(𝜉	−ƈ𝐴𝑋(𝜉	PROPN
cana-4666	176	6	)	)	PUNCT
cana-4666	176	7	1	1	NUM
cana-4666	176	8	𝑝	𝑝	PROPN
cana-4666	176	9	+	+	CCONJ
cana-4666	176	10	𝐴𝑢𝑋(𝜉	𝐴𝑢𝑋(𝜉	PROPN
cana-4666	176	11	)	)	PUNCT
cana-4666	176	12	1	1	NUM
cana-4666	176	13	𝑝	𝑝	PROPN
cana-4666	176	14	𝑃𝑋(𝜉	𝑃𝑋(𝜉	NOUN
cana-4666	176	15	)	)	PUNCT
cana-4666	177	1	+	+	CCONJ
cana-4666	177	2	𝐴𝜆	𝐴𝜆	PROPN
cana-4666	177	3	𝑝	𝑝	PROPN
cana-4666	177	4	𝑋(𝜉	𝑋(𝜉	NOUN
cana-4666	177	5	)	)	PUNCT
cana-4666	177	6	1	1	NUM
cana-4666	177	7	𝑝	𝑝	NOUN
cana-4666	177	8	+	+	CCONJ
cana-4666	177	9	𝐴𝜆	𝐴𝜆	PROPN
cana-4666	177	10	𝑝	𝑝	PROPN
cana-4666	177	11	𝑋(𝜉	𝑋(𝜉	NOUN
cana-4666	177	12	)	)	PUNCT
cana-4666	177	13	1	1	NUM
cana-4666	177	14	𝑝	𝑝	NOUN
cana-4666	177	15	+1	+1	ADJ
cana-4666	177	16	−	−	PROPN
cana-4666	177	17	𝐴𝑝+2	𝐴𝑝+2	PROPN
cana-4666	177	18	𝑝+1	𝑝+1	PRON
cana-4666	177	19	𝑋(𝜉	𝑋(𝜉	NOUN
cana-4666	177	20	)	)	PUNCT
cana-4666	177	21	1	1	NUM
cana-4666	177	22	𝑝	𝑝	NOUN
cana-4666	177	23	+1	+1	NOUN
cana-4666	177	24	=	=	SYM
cana-4666	177	25	0	0	NUM
cana-4666	177	26	…	…	SYM
cana-4666	177	27	……	……	NOUN
cana-4666	177	28	,	,	PUNCT
cana-4666	177	29	(	(	PUNCT
cana-4666	177	30	29	29	NUM
cana-4666	177	31	)	)	PUNCT
cana-4666	177	32	where	where	SCONJ
cana-4666	177	33	𝑋(𝜉	𝑋(𝜉	ADP
cana-4666	177	34	)	)	PUNCT
cana-4666	177	35	=	=	SYM
cana-4666	177	36	𝐺′	𝐺′	PROPN
cana-4666	177	37	𝐺	𝐺	PROPN
cana-4666	177	38	,	,	PUNCT
cana-4666	177	39	after	after	ADP
cana-4666	177	40	collecting	collect	VERB
cana-4666	177	41	the	the	DET
cana-4666	177	42	coefficient	coefficient	NOUN
cana-4666	177	43	of	of	ADP
cana-4666	177	44	𝑋(𝜉	𝑋(𝜉	NOUN
cana-4666	177	45	)	)	PUNCT
cana-4666	177	46	1	1	NUM
cana-4666	177	47	𝑝	𝑝	PROPN
cana-4666	177	48	,	,	PUNCT
cana-4666	177	49	𝑋(𝜉	𝑋(𝜉	NOUN
cana-4666	177	50	)	)	PUNCT
cana-4666	177	51	1	1	NUM
cana-4666	177	52	𝑝	𝑝	NOUN
cana-4666	177	53	+1	+1	NOUN
cana-4666	177	54	and	and	CCONJ
cana-4666	177	55	𝑋(𝜉	𝑋(𝜉	NOUN
cana-4666	177	56	)	)	PUNCT
cana-4666	177	57	1	1	NUM
cana-4666	177	58	𝑝	𝑝	NOUN
cana-4666	177	59	−1	−1	NOUN
cana-4666	177	60	,	,	PUNCT
cana-4666	177	61	we	we	PRON
cana-4666	177	62	get	get	VERB
cana-4666	177	63	𝐴	𝐴	NOUN
cana-4666	177	64	=	=	PUNCT
cana-4666	177	65	(	(	PUNCT
cana-4666	177	66	𝑝+1	𝑝+1	NUM
cana-4666	177	67	𝑝	𝑝	NOUN
cana-4666	177	68	)	)	PUNCT
cana-4666	177	69	1	1	NUM
cana-4666	177	70	𝑝+1	𝑝+1	NOUN
cana-4666	177	71	,	,	PUNCT
cana-4666	177	72	𝑢	𝑢	X
cana-4666	177	73	=	=	SYM
cana-4666	177	74	0	0	NUM
cana-4666	177	75	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-4666	177	76	𝜆	𝜆	PROPN
cana-4666	177	77	=	=	PRON
cana-4666	177	78	𝑝ƈ	𝑝ƈ	NOUN
cana-4666	177	79	…	…	PUNCT
cana-4666	177	80	…	…	PUNCT
cana-4666	177	81	…	…	PUNCT
cana-4666	177	82	.	.	NUM
cana-4666	177	83	,	,	PUNCT
cana-4666	177	84	(	(	PUNCT
cana-4666	177	85	30	30	NUM
cana-4666	177	86	)	)	PUNCT
cana-4666	177	87	determined	determine	VERB
cana-4666	177	88	wave	wave	NOUN
cana-4666	177	89	solutions	solution	NOUN
cana-4666	177	90	of	of	ADP
cana-4666	177	91	eq	eq	PROPN
cana-4666	177	92	.	.	PUNCT
cana-4666	178	1	(	(	PUNCT
cana-4666	178	2	30	30	NUM
cana-4666	178	3	)	)	PUNCT
cana-4666	178	4	as	as	ADP
cana-4666	178	5	𝐹(𝜉	𝐹(𝜉	VERB
cana-4666	178	6	)	)	PUNCT
cana-4666	178	7	=	=	NOUN
cana-4666	178	8	(	(	PUNCT
cana-4666	179	1	𝑝+1	𝑝+1	NUM
cana-4666	179	2	𝑝	𝑝	NOUN
cana-4666	179	3	)	)	PUNCT
cana-4666	179	4	1	1	NUM
cana-4666	179	5	𝑝+1	𝑝+1	NOUN
cana-4666	179	6	(	(	PUNCT
cana-4666	179	7	𝜆𝑒−𝜆𝜉	𝜆𝑒−𝜆𝜉	NUM
cana-4666	179	8	𝑐1𝑒	𝑐1𝑒	NOUN
cana-4666	179	9	−𝜆𝜉+𝑐2	−𝜆𝜉+𝑐2	NOUN
cana-4666	179	10	)	)	PUNCT
cana-4666	179	11	1	1	NUM
cana-4666	179	12	𝑝+1	𝑝+1	NOUN
cana-4666	179	13	where	where	SCONJ
cana-4666	179	14	𝜉	𝜉	NOUN
cana-4666	179	15	=	=	VERB
cana-4666	179	16	𝑥	𝑥	PROPN
cana-4666	179	17	−	−	PROPN
cana-4666	179	18	ƈ	ƈ	INTJ
cana-4666	179	19	ƫᾱ	ƫᾱ	PROPN
cana-4666	179	20	ᾱ	ᾱ	NOUN
cana-4666	179	21	the	the	DET
cana-4666	179	22	exact	exact	ADJ
cana-4666	179	23	solution	solution	NOUN
cana-4666	179	24	of	of	ADP
cana-4666	179	25	eq	eq	PROPN
cana-4666	179	26	.	.	PUNCT
cana-4666	180	1	(	(	PUNCT
cana-4666	180	2	1	1	X
cana-4666	180	3	)	)	PUNCT
cana-4666	180	4	is	be	AUX
cana-4666	180	5	determined	determine	VERB
cana-4666	180	6	as	as	ADP
cana-4666	180	7	𝐹(𝜉	𝐹(𝜉	VERB
cana-4666	180	8	)	)	PUNCT
cana-4666	181	1	=	=	SYM
cana-4666	181	2	(	(	PUNCT
cana-4666	181	3	𝑝	𝑝	PROPN
cana-4666	181	4	+	+	CCONJ
cana-4666	181	5	1	1	PROPN
cana-4666	181	6	𝑝	𝑝	NOUN
cana-4666	181	7	)	)	PUNCT
cana-4666	181	8	1	1	NUM
cana-4666	181	9	𝑝+1	𝑝+1	NOUN
cana-4666	181	10	(	(	PUNCT
cana-4666	181	11	𝜆𝑒	𝜆𝑒	NOUN
cana-4666	181	12	−𝜆(𝑥−	−𝜆(𝑥−	NOUN
cana-4666	181	13	ƈ	ƈ	INTJ
cana-4666	181	14	ƫᾱ	ƫᾱ	PROPN
cana-4666	181	15	ᾱ	ᾱ	NOUN
cana-4666	181	16	)	)	PUNCT
cana-4666	181	17	𝑐1𝑒	𝑐1𝑒	NOUN
cana-4666	182	1	−𝜆(𝑥−	−𝜆(𝑥−	NOUN
cana-4666	182	2	ƈ	ƈ	INTJ
cana-4666	182	3	ƫᾱ	ƫᾱ	PROPN
cana-4666	182	4	ᾱ	ᾱ	NOUN
cana-4666	182	5	)	)	PUNCT
cana-4666	183	1	+	+	NUM
cana-4666	183	2	𝑐2	𝑐2	NOUN
cana-4666	183	3	)	)	PUNCT
cana-4666	183	4	1	1	NUM
cana-4666	183	5	𝑝+1	𝑝+1	PROPN
cana-4666	183	6	communications	communication	NOUN
cana-4666	183	7	on	on	ADP
cana-4666	183	8	applied	apply	VERB
cana-4666	183	9	nonlinear	nonlinear	ADJ
cana-4666	183	10	analysis	analysis	NOUN
cana-4666	183	11	issn	issn	NOUN
cana-4666	183	12	:	:	PUNCT
cana-4666	183	13	1074	1074	NUM
cana-4666	183	14	-	-	PUNCT
cana-4666	183	15	133x	133x	NUM
cana-4666	183	16	vol	vol	VERB
cana-4666	183	17	32	32	NUM
cana-4666	183	18	no	no	NOUN
cana-4666	183	19	.	.	PUNCT
cana-4666	184	1	10s	10	NOUN
cana-4666	184	2	(	(	PUNCT
cana-4666	184	3	2025	2025	NUM
cana-4666	184	4	)	)	PUNCT
cana-4666	184	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	184	6	112	112	NUM
cana-4666	184	7	8	8	NUM
cana-4666	184	8	.	.	PUNCT
cana-4666	185	1	conclusion	conclusion	NOUN
cana-4666	185	2	:	:	PUNCT
cana-4666	185	3	the	the	DET
cana-4666	185	4	conformable	conformable	ADJ
cana-4666	185	5	derivatives	derivative	NOUN
cana-4666	185	6	have	have	AUX
cana-4666	185	7	been	be	AUX
cana-4666	185	8	utilized	utilize	VERB
cana-4666	185	9	to	to	PART
cana-4666	185	10	interpret	interpret	VERB
cana-4666	185	11	the	the	DET
cana-4666	185	12	nlfpdes	nlfpde	NOUN
cana-4666	185	13	generalized	generalize	VERB
cana-4666	185	14	kdv	kdv	NOUN
cana-4666	185	15	equation	equation	NOUN
cana-4666	185	16	.	.	PUNCT
cana-4666	186	1	the	the	DET
cana-4666	186	2	symmetry	symmetry	NOUN
cana-4666	186	3	aspects	aspect	NOUN
cana-4666	186	4	of	of	ADP
cana-4666	186	5	kdv	kdv	NOUN
cana-4666	186	6	equation	equation	NOUN
cana-4666	186	7	are	be	AUX
cana-4666	186	8	studied	study	VERB
cana-4666	186	9	by	by	ADP
cana-4666	186	10	lie	lie	NOUN
cana-4666	186	11	group	group	NOUN
cana-4666	186	12	analysis	analysis	NOUN
cana-4666	186	13	methodology	methodology	NOUN
cana-4666	186	14	.	.	PUNCT
cana-4666	187	1	afterwards	afterwards	ADV
cana-4666	187	2	,	,	PUNCT
cana-4666	187	3	vector	vector	NOUN
cana-4666	187	4	fields	field	NOUN
cana-4666	187	5	of	of	ADP
cana-4666	187	6	kdv	kdv	NOUN
cana-4666	187	7	equation	equation	NOUN
cana-4666	187	8	are	be	AUX
cana-4666	187	9	discussed	discuss	VERB
cana-4666	187	10	on	on	ADP
cana-4666	187	11	the	the	DET
cana-4666	187	12	basis	basis	NOUN
cana-4666	187	13	of	of	ADP
cana-4666	187	14	the	the	DET
cana-4666	187	15	point	point	NOUN
cana-4666	187	16	symmetry	symmetry	NOUN
cana-4666	187	17	.	.	PUNCT
cana-4666	188	1	also	also	ADV
cana-4666	188	2	,	,	PUNCT
cana-4666	188	3	the	the	DET
cana-4666	188	4	symmetry	symmetry	NOUN
cana-4666	188	5	reductions	reduction	NOUN
cana-4666	188	6	are	be	AUX
cana-4666	188	7	constructed	construct	VERB
cana-4666	188	8	.	.	PUNCT
cana-4666	189	1	additionally	additionally	ADV
cana-4666	189	2	,	,	PUNCT
cana-4666	189	3	the	the	DET
cana-4666	189	4	paper	paper	NOUN
cana-4666	189	5	shows	show	VERB
cana-4666	189	6	exact	exact	ADJ
cana-4666	189	7	traveling	travel	VERB
cana-4666	189	8	wave	wave	NOUN
cana-4666	189	9	solutions	solution	NOUN
cana-4666	189	10	of	of	ADP
cana-4666	189	11	nonlinear	nonlinear	ADJ
cana-4666	189	12	fractional	fractional	ADJ
cana-4666	189	13	pth	pth	NOUN
cana-4666	189	14	order	order	NOUN
cana-4666	189	15	korteweg	korteweg	NOUN
cana-4666	189	16	-	-	PUNCT
cana-4666	189	17	de	de	NOUN
cana-4666	189	18	vries	vries	PROPN
cana-4666	189	19	equation	equation	NOUN
cana-4666	189	20	that	that	PRON
cana-4666	189	21	have	have	AUX
cana-4666	189	22	been	be	AUX
cana-4666	189	23	obtained	obtain	VERB
cana-4666	189	24	by	by	ADP
cana-4666	189	25	using	use	VERB
cana-4666	189	26	the	the	DET
cana-4666	189	27	(	(	PUNCT
cana-4666	189	28	𝐺′	𝐺′	PROPN
cana-4666	189	29	𝐺	𝐺	NOUN
cana-4666	189	30	)	)	PUNCT
cana-4666	189	31	-expansion	-expansion	PROPN
cana-4666	189	32	method	method	NOUN
cana-4666	189	33	.	.	PUNCT
cana-4666	190	1	at	at	ADP
cana-4666	190	2	last	last	ADJ
cana-4666	190	3	,	,	PUNCT
cana-4666	190	4	the	the	DET
cana-4666	190	5	generalized	generalize	VERB
cana-4666	190	6	fractional	fractional	ADJ
cana-4666	190	7	kdv	kdv	NOUN
cana-4666	190	8	equation	equation	NOUN
cana-4666	190	9	series	series	NOUN
cana-4666	190	10	solution	solution	NOUN
cana-4666	190	11	and	and	CCONJ
cana-4666	190	12	several	several	ADJ
cana-4666	190	13	explicit	explicit	ADJ
cana-4666	190	14	and	and	CCONJ
cana-4666	190	15	exact	exact	ADJ
cana-4666	190	16	solutions	solution	NOUN
cana-4666	190	17	are	be	AUX
cana-4666	190	18	established	establish	VERB
cana-4666	190	19	.	.	PUNCT
cana-4666	191	1	the	the	DET
cana-4666	191	2	results	result	NOUN
cana-4666	191	3	of	of	ADP
cana-4666	191	4	this	this	DET
cana-4666	191	5	paper	paper	NOUN
cana-4666	191	6	provide	provide	VERB
cana-4666	191	7	practical	practical	ADJ
cana-4666	191	8	and	and	CCONJ
cana-4666	191	9	significant	significant	ADJ
cana-4666	191	10	insights	insight	NOUN
cana-4666	191	11	for	for	ADP
cana-4666	191	12	future	future	ADJ
cana-4666	191	13	research	research	NOUN
cana-4666	191	14	.	.	PUNCT
cana-4666	192	1	additionally	additionally	ADV
cana-4666	192	2	,	,	PUNCT
cana-4666	192	3	the	the	DET
cana-4666	192	4	exact	exact	ADJ
cana-4666	192	5	solutions	solution	NOUN
cana-4666	192	6	we	we	PRON
cana-4666	192	7	have	have	AUX
cana-4666	192	8	derived	derive	VERB
cana-4666	192	9	may	may	AUX
cana-4666	192	10	be	be	AUX
cana-4666	192	11	useful	useful	ADJ
cana-4666	192	12	across	across	ADP
cana-4666	192	13	different	different	ADJ
cana-4666	192	14	areas	area	NOUN
cana-4666	192	15	of	of	ADP
cana-4666	192	16	applied	applied	ADJ
cana-4666	192	17	mathematics	mathematic	NOUN
cana-4666	192	18	,	,	PUNCT
cana-4666	192	19	particularly	particularly	ADV
cana-4666	192	20	for	for	ADP
cana-4666	192	21	analyzing	analyze	VERB
cana-4666	192	22	specific	specific	ADJ
cana-4666	192	23	physical	physical	ADJ
cana-4666	192	24	phenomena	phenomenon	NOUN
cana-4666	192	25	.	.	PUNCT
cana-4666	193	1	references	reference	NOUN
cana-4666	193	2	:	:	PUNCT
cana-4666	193	3	1	1	X
cana-4666	193	4	.	.	NUM
cana-4666	193	5	y.keskin	y.keskin	NOUN
cana-4666	193	6	and	and	CCONJ
cana-4666	193	7	g.oturanc	g.oturanc	NOUN
cana-4666	193	8	,	,	PUNCT
cana-4666	193	9	“	"	PUNCT
cana-4666	193	10	reduced	reduce	VERB
cana-4666	193	11	differential	differential	ADJ
cana-4666	193	12	transform	transform	NOUN
cana-4666	193	13	method	method	NOUN
cana-4666	193	14	for	for	ADP
cana-4666	193	15	partial	partial	ADJ
cana-4666	193	16	differential	differential	NOUN
cana-4666	193	17	equations	equation	NOUN
cana-4666	193	18	,	,	PUNCT
cana-4666	193	19	”	"	PUNCT
cana-4666	193	20	international	international	ADJ
cana-4666	193	21	journal	journal	NOUN
cana-4666	193	22	of	of	ADP
cana-4666	193	23	nonlinear	nonlinear	PROPN
cana-4666	193	24	sciences	sciences	PROPN
cana-4666	193	25	and	and	CCONJ
cana-4666	193	26	numerical	numerical	ADJ
cana-4666	193	27	stimulation	stimulation	NOUN
cana-4666	193	28	,	,	PUNCT
cana-4666	193	29	vol	vol	NOUN
cana-4666	193	30	.	.	PROPN
cana-4666	194	1	10	10	NUM
cana-4666	194	2	,	,	PUNCT
cana-4666	194	3	pp	pp	ADJ
cana-4666	194	4	.	.	PUNCT
cana-4666	195	1	741–750	741–750	NUM
cana-4666	195	2	,	,	PUNCT
cana-4666	195	3	2009	2009	NUM
cana-4666	195	4	.	.	PUNCT
cana-4666	196	1	2	2	NUM
cana-4666	196	2	.	.	X
cana-4666	196	3	h.khan	h.khan	NOUN
cana-4666	196	4	,	,	PUNCT
cana-4666	196	5	a.khan	a.khan	PRON
cana-4666	196	6	,	,	PUNCT
cana-4666	196	7	p.kumam	p.kumam	NOUN
cana-4666	196	8	,	,	PUNCT
cana-4666	196	9	d.baleanu	d.baleanu	NOUN
cana-4666	196	10	,	,	PUNCT
cana-4666	196	11	and	and	CCONJ
cana-4666	196	12	m.arif	m.arif	X
cana-4666	196	13	,	,	PUNCT
cana-4666	196	14	“	"	PUNCT
cana-4666	196	15	an	an	DET
cana-4666	196	16	approximate	approximate	ADJ
cana-4666	196	17	analytical	analytical	ADJ
cana-4666	196	18	solution	solution	NOUN
cana-4666	196	19	of	of	ADP
cana-4666	196	20	the	the	DET
cana-4666	196	21	navier	navier	NOUN
cana-4666	196	22	-	-	PUNCT
cana-4666	196	23	stokes	stoke	NOUN
cana-4666	196	24	equations	equation	NOUN
cana-4666	196	25	within	within	ADP
cana-4666	196	26	caputo	caputo	PROPN
cana-4666	196	27	operator	operator	NOUN
cana-4666	196	28	and	and	CCONJ
cana-4666	196	29	elzaki	elzaki	VERB
cana-4666	196	30	transform	transform	VERB
cana-4666	196	31	decomposition	decomposition	NOUN
cana-4666	196	32	method	method	NOUN
cana-4666	196	33	,	,	PUNCT
cana-4666	196	34	”	"	PUNCT
cana-4666	196	35	advances	advance	NOUN
cana-4666	196	36	in	in	ADP
cana-4666	196	37	difference	difference	NOUN
cana-4666	196	38	equations	equation	NOUN
cana-4666	196	39	,	,	PUNCT
cana-4666	196	40	vol	vol	NOUN
cana-4666	196	41	.	.	PROPN
cana-4666	197	1	622	622	NUM
cana-4666	197	2	,	,	PUNCT
cana-4666	197	3	pp	pp	PROPN
cana-4666	197	4	.	.	PUNCT
cana-4666	198	1	1–23	1–23	PROPN
cana-4666	198	2	,	,	PUNCT
cana-4666	198	3	2020	2020	NUM
cana-4666	198	4	.	.	PUNCT
cana-4666	199	1	3	3	X
cana-4666	199	2	.	.	X
cana-4666	199	3	h.khan	h.khan	PROPN
cana-4666	199	4	,	,	PUNCT
cana-4666	199	5	a.khan	a.khan	PRON
cana-4666	199	6	,	,	PUNCT
cana-4666	199	7	m.al	m.al	NOUN
cana-4666	199	8	-	-	NOUN
cana-4666	199	9	qurashi	qurashi	ADJ
cana-4666	199	10	,	,	PUNCT
cana-4666	199	11	r.shah	r.shah	NOUN
cana-4666	199	12	and	and	CCONJ
cana-4666	199	13	d.baleanu	d.baleanu	NOUN
cana-4666	199	14	,	,	PUNCT
cana-4666	199	15	“	"	PUNCT
cana-4666	199	16	modified	modify	VERB
cana-4666	199	17	modelling	modelling	NOUN
cana-4666	199	18	for	for	ADP
cana-4666	199	19	heat	heat	NOUN
cana-4666	199	20	like	like	ADP
cana-4666	199	21	equations	equation	NOUN
cana-4666	199	22	within	within	ADP
cana-4666	199	23	caputo	caputo	PROPN
cana-4666	199	24	operator	operator	NOUN
cana-4666	199	25	,	,	PUNCT
cana-4666	199	26	”	"	PUNCT
cana-4666	199	27	energies	energy	NOUN
cana-4666	199	28	,	,	PUNCT
cana-4666	199	29	vol	vol	NOUN
cana-4666	199	30	.	.	PROPN
cana-4666	199	31	13	13	NUM
cana-4666	199	32	,	,	PUNCT
cana-4666	199	33	pp	pp	ADJ
cana-4666	199	34	.	.	PUNCT
cana-4666	199	35	2002	2002	NUM
cana-4666	199	36	,	,	PUNCT
cana-4666	199	37	2020	2020	NUM
cana-4666	199	38	.	.	PUNCT
cana-4666	200	1	4	4	X
cana-4666	200	2	.	.	NUM
cana-4666	200	3	d.j.evans	d.j.evan	NOUN
cana-4666	200	4	and	and	CCONJ
cana-4666	200	5	k.r.raslan	k.r.raslan	NOUN
cana-4666	200	6	,	,	PUNCT
cana-4666	200	7	“	"	PUNCT
cana-4666	200	8	the	the	DET
cana-4666	200	9	adomian	adomian	NOUN
cana-4666	200	10	decomposition	decomposition	NOUN
cana-4666	200	11	method	method	NOUN
cana-4666	200	12	for	for	ADP
cana-4666	200	13	solving	solve	VERB
cana-4666	200	14	delay	delay	NOUN
cana-4666	200	15	differential	differential	ADJ
cana-4666	200	16	equation	equation	NOUN
cana-4666	200	17	,	,	PUNCT
cana-4666	200	18	”	"	PUNCT
cana-4666	200	19	international	international	ADJ
cana-4666	200	20	journal	journal	NOUN
cana-4666	200	21	of	of	ADP
cana-4666	200	22	computer	computer	NOUN
cana-4666	200	23	mathematics	mathematic	NOUN
cana-4666	200	24	,	,	PUNCT
cana-4666	200	25	vol	vol	NOUN
cana-4666	200	26	.	.	PROPN
cana-4666	200	27	82	82	NUM
cana-4666	200	28	,	,	PUNCT
cana-4666	200	29	pp	pp	ADJ
cana-4666	200	30	.	.	PUNCT
cana-4666	201	1	49–54	49–54	NUM
cana-4666	201	2	,	,	PUNCT
cana-4666	201	3	2005	2005	NUM
cana-4666	201	4	.	.	PUNCT
cana-4666	202	1	communications	communication	NOUN
cana-4666	202	2	on	on	ADP
cana-4666	202	3	applied	apply	VERB
cana-4666	202	4	nonlinear	nonlinear	ADJ
cana-4666	202	5	analysis	analysis	NOUN
cana-4666	202	6	issn	issn	NOUN
cana-4666	202	7	:	:	PUNCT
cana-4666	202	8	1074	1074	NUM
cana-4666	202	9	-	-	PUNCT
cana-4666	202	10	133x	133x	NUM
cana-4666	202	11	vol	vol	VERB
cana-4666	202	12	32	32	NUM
cana-4666	202	13	no	no	NOUN
cana-4666	202	14	.	.	PUNCT
cana-4666	203	1	10s	10	NOUN
cana-4666	203	2	(	(	PUNCT
cana-4666	203	3	2025	2025	NUM
cana-4666	203	4	)	)	PUNCT
cana-4666	203	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	203	6	113	113	NUM
cana-4666	203	7	5	5	NUM
cana-4666	203	8	.	.	PUNCT
cana-4666	204	1	g.w.bluman	g.w.bluman	NOUN
cana-4666	204	2	and	and	CCONJ
cana-4666	204	3	j.d.cole	j.d.cole	NOUN
cana-4666	204	4	,	,	PUNCT
cana-4666	204	5	“	"	PUNCT
cana-4666	204	6	similarity	similarity	NOUN
cana-4666	204	7	methods	method	NOUN
cana-4666	204	8	for	for	ADP
cana-4666	204	9	differential	differential	ADJ
cana-4666	204	10	equations	equation	NOUN
cana-4666	204	11	,	,	PUNCT
cana-4666	204	12	”	"	PUNCT
cana-4666	204	13	in	in	ADP
cana-4666	204	14	applied	apply	VERB
cana-4666	204	15	mathematical	mathematical	ADJ
cana-4666	204	16	science	science	NOUN
cana-4666	204	17	,	,	PUNCT
cana-4666	204	18	springer	springer	NOUN
cana-4666	204	19	-	-	PUNCT
cana-4666	204	20	verlag	verlag	PROPN
cana-4666	204	21	,	,	PUNCT
cana-4666	204	22	new	new	PROPN
cana-4666	204	23	york	york	PROPN
cana-4666	204	24	,	,	PUNCT
cana-4666	204	25	1974	1974	NUM
cana-4666	204	26	.	.	PUNCT
cana-4666	205	1	6	6	NUM
cana-4666	205	2	.	.	X
cana-4666	205	3	g.w	g.w	PROPN
cana-4666	205	4	.	.	PROPN
cana-4666	205	5	bluman	bluman	PROPN
cana-4666	205	6	and	and	CCONJ
cana-4666	205	7	j.d	j.d	PROPN
cana-4666	205	8	.	.	PROPN
cana-4666	205	9	cole	cole	PROPN
cana-4666	205	10	,	,	PUNCT
cana-4666	205	11	“	"	PUNCT
cana-4666	205	12	the	the	DET
cana-4666	205	13	general	general	ADJ
cana-4666	205	14	similarity	similarity	NOUN
cana-4666	205	15	solution	solution	NOUN
cana-4666	205	16	of	of	ADP
cana-4666	205	17	the	the	DET
cana-4666	205	18	heat	heat	NOUN
cana-4666	205	19	equation	equation	NOUN
cana-4666	205	20	,	,	PUNCT
cana-4666	205	21	”	"	PUNCT
cana-4666	205	22	journal	journal	NOUN
cana-4666	205	23	of	of	ADP
cana-4666	205	24	mathematics	mathematic	NOUN
cana-4666	205	25	and	and	CCONJ
cana-4666	205	26	mechanics	mechanic	NOUN
cana-4666	205	27	,	,	PUNCT
cana-4666	205	28	vol	vol	NOUN
cana-4666	205	29	.	.	PROPN
cana-4666	205	30	18	18	NUM
cana-4666	205	31	,	,	PUNCT
cana-4666	205	32	pp	pp	ADJ
cana-4666	205	33	.	.	PUNCT
cana-4666	206	1	1025–1042	1025–1042	NUM
cana-4666	206	2	,	,	PUNCT
cana-4666	206	3	1969	1969	NUM
cana-4666	206	4	.	.	PUNCT
cana-4666	207	1	7	7	X
cana-4666	207	2	.	.	X
cana-4666	207	3	p.j	p.j	PROPN
cana-4666	207	4	.	.	PROPN
cana-4666	207	5	olver	olver	PROPN
cana-4666	207	6	,	,	PUNCT
cana-4666	207	7	“	"	PUNCT
cana-4666	207	8	applications	application	NOUN
cana-4666	207	9	of	of	ADP
cana-4666	207	10	lie	lie	NOUN
cana-4666	207	11	groups	group	NOUN
cana-4666	207	12	to	to	PART
cana-4666	207	13	differential	differential	VERB
cana-4666	207	14	equations	equation	NOUN
cana-4666	207	15	,	,	PUNCT
cana-4666	207	16	”	"	PUNCT
cana-4666	207	17	graduate	graduate	NOUN
cana-4666	207	18	texts	text	NOUN
cana-4666	207	19	in	in	ADP
cana-4666	207	20	mathematics	mathematic	NOUN
cana-4666	207	21	,	,	PUNCT
cana-4666	207	22	springer	springer	NOUN
cana-4666	207	23	-	-	PUNCT
cana-4666	207	24	verlag	verlag	PROPN
cana-4666	207	25	,	,	PUNCT
cana-4666	207	26	new	new	PROPN
cana-4666	207	27	york	york	PROPN
cana-4666	207	28	,	,	PUNCT
cana-4666	207	29	vol	vol	NOUN
cana-4666	207	30	.	.	PUNCT
cana-4666	207	31	107	107	NUM
cana-4666	207	32	,	,	PUNCT
cana-4666	207	33	1986	1986	NUM
cana-4666	207	34	.	.	PUNCT
cana-4666	208	1	8	8	NUM
cana-4666	208	2	.	.	PUNCT
cana-4666	208	3	j.	j.	PROPN
cana-4666	208	4	b.	b.	PROPN
cana-4666	208	5	bell	bell	PROPN
cana-4666	208	6	,	,	PUNCT
cana-4666	208	7	p.	p.	NOUN
cana-4666	208	8	colella	colella	NOUN
cana-4666	208	9	,	,	PUNCT
cana-4666	208	10	and	and	CCONJ
cana-4666	208	11	h.	h.	PROPN
cana-4666	208	12	m.	m.	PROPN
cana-4666	208	13	glaz	glaz	PROPN
cana-4666	208	14	,	,	PUNCT
cana-4666	208	15	“	"	PUNCT
cana-4666	208	16	a	a	DET
cana-4666	208	17	second	second	ADJ
cana-4666	208	18	-	-	PUNCT
cana-4666	208	19	order	order	NOUN
cana-4666	208	20	projection	projection	NOUN
cana-4666	208	21	method	method	NOUN
cana-4666	208	22	for	for	ADP
cana-4666	208	23	the	the	DET
cana-4666	208	24	incompressible	incompressible	ADJ
cana-4666	208	25	navier	navier	NOUN
cana-4666	208	26	-	-	PUNCT
cana-4666	208	27	stokes	stoke	NOUN
cana-4666	208	28	equations	equation	NOUN
cana-4666	208	29	,	,	PUNCT
cana-4666	208	30	”	"	PUNCT
cana-4666	208	31	journal	journal	NOUN
cana-4666	208	32	of	of	ADP
cana-4666	208	33	computational	computational	ADJ
cana-4666	208	34	physics	physics	NOUN
cana-4666	208	35	,	,	PUNCT
cana-4666	208	36	vol	vol	NOUN
cana-4666	208	37	.	.	PROPN
cana-4666	208	38	85	85	NUM
cana-4666	208	39	,	,	PUNCT
cana-4666	208	40	no	no	INTJ
cana-4666	208	41	.	.	NOUN
cana-4666	208	42	2	2	NUM
cana-4666	208	43	,	,	PUNCT
cana-4666	208	44	pp	pp	ADJ
cana-4666	208	45	.	.	PUNCT
cana-4666	209	1	257–283	257–283	NUM
cana-4666	209	2	,	,	PUNCT
cana-4666	209	3	1989	1989	NUM
cana-4666	209	4	.	.	PUNCT
cana-4666	210	1	9	9	NUM
cana-4666	210	2	.	.	X
cana-4666	210	3	w.	w.	PROPN
cana-4666	210	4	malfliet	malfliet	PROPN
cana-4666	210	5	,	,	PUNCT
cana-4666	210	6	“	"	PUNCT
cana-4666	210	7	the	the	DET
cana-4666	210	8	tanh	tanh	PROPN
cana-4666	210	9	method	method	NOUN
cana-4666	210	10	:	:	PUNCT
cana-4666	210	11	a	a	DET
cana-4666	210	12	tool	tool	NOUN
cana-4666	210	13	for	for	ADP
cana-4666	210	14	solving	solve	VERB
cana-4666	210	15	certain	certain	ADJ
cana-4666	210	16	classes	class	NOUN
cana-4666	210	17	of	of	ADP
cana-4666	210	18	nonlinear	nonlinear	ADJ
cana-4666	210	19	evolution	evolution	NOUN
cana-4666	210	20	and	and	CCONJ
cana-4666	210	21	wave	wave	NOUN
cana-4666	210	22	equations	equation	NOUN
cana-4666	210	23	,	,	PUNCT
cana-4666	210	24	”	"	PUNCT
cana-4666	210	25	journal	journal	NOUN
cana-4666	210	26	of	of	ADP
cana-4666	210	27	computational	computational	ADJ
cana-4666	210	28	and	and	CCONJ
cana-4666	210	29	applied	applied	ADJ
cana-4666	210	30	mathematics	mathematic	NOUN
cana-4666	210	31	,	,	PUNCT
cana-4666	210	32	vol	vol	NOUN
cana-4666	210	33	.	.	PROPN
cana-4666	210	34	164	164	NUM
cana-4666	210	35	-	-	SYM
cana-4666	210	36	165	165	NUM
cana-4666	210	37	,	,	PUNCT
cana-4666	210	38	pp	pp	ADJ
cana-4666	210	39	.	.	PUNCT
cana-4666	211	1	529–541	529–541	NUM
cana-4666	211	2	,	,	PUNCT
cana-4666	211	3	2004	2004	NUM
cana-4666	211	4	.	.	PUNCT
cana-4666	212	1	10	10	NUM
cana-4666	212	2	.	.	PUNCT
cana-4666	212	3	m.	m.	PROPN
cana-4666	212	4	kapoor	kapoor	PROPN
cana-4666	212	5	and	and	CCONJ
cana-4666	212	6	v.	v.	PROPN
cana-4666	212	7	joshi	joshi	PROPN
cana-4666	212	8	,	,	PUNCT
cana-4666	212	9	“	"	PUNCT
cana-4666	212	10	solution	solution	NOUN
cana-4666	212	11	of	of	ADP
cana-4666	212	12	non	non	ADJ
cana-4666	212	13	-	-	ADJ
cana-4666	212	14	linear	linear	ADJ
cana-4666	212	15	fisher	fisher	PROPN
cana-4666	212	16	’s	’s	PART
cana-4666	212	17	reaction	reaction	NOUN
cana-4666	212	18	-	-	PUNCT
cana-4666	212	19	diffusion	diffusion	NOUN
cana-4666	212	20	equation	equation	NOUN
cana-4666	212	21	by	by	ADP
cana-4666	212	22	using	use	VERB
cana-4666	212	23	hyperbolic	hyperbolic	ADJ
cana-4666	212	24	b	b	NOUN
cana-4666	212	25	-	-	PUNCT
cana-4666	212	26	spline	spline	NOUN
cana-4666	212	27	based	base	VERB
cana-4666	212	28	differential	differential	ADJ
cana-4666	212	29	quadrature	quadrature	NOUN
cana-4666	212	30	method	method	NOUN
cana-4666	212	31	,	,	PUNCT
cana-4666	212	32	”	"	PUNCT
cana-4666	212	33	journal	journal	NOUN
cana-4666	212	34	of	of	ADP
cana-4666	212	35	physics	physics	PROPN
cana-4666	212	36	:	:	PUNCT
cana-4666	212	37	conference	conference	NOUN
cana-4666	212	38	series	series	NOUN
cana-4666	212	39	,	,	PUNCT
cana-4666	212	40	vol	vol	NOUN
cana-4666	212	41	.	.	PROPN
cana-4666	212	42	1531	1531	NUM
cana-4666	212	43	,	,	PUNCT
cana-4666	212	44	no	no	INTJ
cana-4666	212	45	.	.	NOUN
cana-4666	212	46	1	1	NUM
cana-4666	212	47	,	,	PUNCT
cana-4666	212	48	p.	p.	NOUN
cana-4666	212	49	012064	012064	NUM
cana-4666	212	50	,	,	PUNCT
cana-4666	212	51	2020	2020	NUM
cana-4666	212	52	.	.	PUNCT
cana-4666	213	1	11	11	NUM
cana-4666	213	2	.	.	PUNCT
cana-4666	213	3	a.	a.	NOUN
cana-4666	213	4	t.	t.	PROPN
cana-4666	213	5	khan	khan	PROPN
cana-4666	213	6	and	and	CCONJ
cana-4666	213	7	h.	h.	PROPN
cana-4666	213	8	naher	naher	PROPN
cana-4666	213	9	,	,	PUNCT
cana-4666	213	10	“	"	PUNCT
cana-4666	213	11	solitons	soliton	NOUN
cana-4666	213	12	and	and	CCONJ
cana-4666	213	13	periodic	periodic	ADJ
cana-4666	213	14	solutions	solution	NOUN
cana-4666	213	15	of	of	ADP
cana-4666	213	16	the	the	DET
cana-4666	213	17	fisher	fisher	PROPN
cana-4666	213	18	equation	equation	NOUN
cana-4666	213	19	with	with	ADP
cana-4666	213	20	nonlinear	nonlinear	ADJ
cana-4666	213	21	ordinary	ordinary	ADJ
cana-4666	213	22	differential	differential	ADJ
cana-4666	213	23	equationasauxiliaryequation,”americanjournalofappliedmathematics	equationasauxiliaryequation,”americanjournalofappliedmathematic	NOUN
cana-4666	213	24	and	and	CCONJ
cana-4666	213	25	statistics	statistic	NOUN
cana-4666	213	26	,	,	PUNCT
cana-4666	213	27	vol	vol	NOUN
cana-4666	213	28	.	.	PROPN
cana-4666	213	29	6	6	NUM
cana-4666	213	30	,	,	PUNCT
cana-4666	213	31	no	no	INTJ
cana-4666	213	32	.	.	NOUN
cana-4666	213	33	6	6	NUM
cana-4666	213	34	,	,	PUNCT
cana-4666	213	35	pp	pp	ADJ
cana-4666	213	36	.	.	PUNCT
cana-4666	214	1	244–252	244–252	NUM
cana-4666	214	2	,	,	PUNCT
cana-4666	214	3	2018	2018	NUM
cana-4666	214	4	.	.	PUNCT
cana-4666	215	1	12	12	NUM
cana-4666	215	2	.	.	PUNCT
cana-4666	216	1	l.	l.	PROPN
cana-4666	216	2	jin	jin	PROPN
cana-4666	216	3	,	,	PUNCT
cana-4666	216	4	“	"	PUNCT
cana-4666	216	5	application	application	NOUN
cana-4666	216	6	of	of	ADP
cana-4666	216	7	variational	variational	ADJ
cana-4666	216	8	iteration	iteration	NOUN
cana-4666	216	9	method	method	NOUN
cana-4666	216	10	to	to	ADP
cana-4666	216	11	the	the	DET
cana-4666	216	12	fifth	fifth	ADJ
cana-4666	216	13	-	-	PUNCT
cana-4666	216	14	order	order	NOUN
cana-4666	216	15	kdv	kdv	NOUN
cana-4666	216	16	equation	equation	NOUN
cana-4666	216	17	,	,	PUNCT
cana-4666	216	18	”	"	PUNCT
cana-4666	216	19	international	international	ADJ
cana-4666	216	20	journal	journal	NOUN
cana-4666	216	21	of	of	ADP
cana-4666	216	22	contemporary	contemporary	PROPN
cana-4666	216	23	mathematical	mathematical	PROPN
cana-4666	216	24	sciences	sciences	PROPN
cana-4666	216	25	,	,	PUNCT
cana-4666	216	26	vol	vol	NOUN
cana-4666	216	27	.	.	PROPN
cana-4666	217	1	3	3	NUM
cana-4666	217	2	,	,	PUNCT
cana-4666	217	3	pp	pp	ADJ
cana-4666	217	4	.	.	PUNCT
cana-4666	218	1	213	213	NUM
cana-4666	218	2	-	-	SYM
cana-4666	218	3	221	221	NUM
cana-4666	218	4	,	,	PUNCT
cana-4666	218	5	2008	2008	NUM
cana-4666	218	6	.	.	PUNCT
cana-4666	219	1	13	13	NUM
cana-4666	219	2	.	.	X
cana-4666	219	3	d.	d.	PROPN
cana-4666	219	4	baldwin	baldwin	PROPN
cana-4666	219	5	,	,	PUNCT
cana-4666	219	6	u.	u.	PROPN
cana-4666	219	7	goktas	goktas	PROPN
cana-4666	219	8	,	,	PUNCT
cana-4666	219	9	w.	w.	PROPN
cana-4666	219	10	hereman	hereman	PROPN
cana-4666	219	11	,	,	PUNCT
cana-4666	219	12	l.	l.	PROPN
cana-4666	219	13	hong	hong	PROPN
cana-4666	219	14	,	,	PUNCT
cana-4666	219	15	r.s	r.s	PROPN
cana-4666	219	16	.	.	PROPN
cana-4666	219	17	martino	martino	PROPN
cana-4666	219	18	,	,	PUNCT
cana-4666	219	19	j.c	j.c	PROPN
cana-4666	219	20	.	.	PROPN
cana-4666	219	21	miller	miller	PROPN
cana-4666	219	22	,	,	PUNCT
cana-4666	219	23	“	"	PUNCT
cana-4666	219	24	symbolic	symbolic	ADJ
cana-4666	219	25	computation	computation	NOUN
cana-4666	219	26	of	of	ADP
cana-4666	219	27	exact	exact	ADJ
cana-4666	219	28	solutions	solution	NOUN
cana-4666	219	29	in	in	ADP
cana-4666	219	30	hyperbolic	hyperbolic	ADJ
cana-4666	219	31	and	and	CCONJ
cana-4666	219	32	elliptic	elliptic	ADJ
cana-4666	219	33	functions	function	NOUN
cana-4666	219	34	for	for	ADP
cana-4666	219	35	nonlinear	nonlinear	ADJ
cana-4666	219	36	pdes	pde	NOUN
cana-4666	219	37	,	,	PUNCT
cana-4666	219	38	”	"	PUNCT
cana-4666	219	39	journal	journal	NOUN
cana-4666	219	40	of	of	ADP
cana-4666	219	41	symbolic	symbolic	ADJ
cana-4666	219	42	computation	computation	NOUN
cana-4666	219	43	.	.	PUNCT
cana-4666	220	1	vol	vol	NOUN
cana-4666	220	2	.	.	PUNCT
cana-4666	221	1	37	37	NUM
cana-4666	221	2	,	,	PUNCT
cana-4666	221	3	pp	pp	ADJ
cana-4666	221	4	.	.	PUNCT
cana-4666	222	1	669	669	NUM
cana-4666	222	2	-	-	SYM
cana-4666	222	3	705	705	NUM
cana-4666	222	4	,	,	PUNCT
cana-4666	222	5	2004	2004	NUM
cana-4666	222	6	.	.	PUNCT
cana-4666	223	1	14	14	NUM
cana-4666	223	2	.	.	PUNCT
cana-4666	224	1	b.a	b.a	PROPN
cana-4666	224	2	.	.	PROPN
cana-4666	224	3	kupershmidt	kupershmidt	PROPN
cana-4666	224	4	,	,	PUNCT
cana-4666	224	5	“	"	PUNCT
cana-4666	224	6	a	a	DET
cana-4666	224	7	super	super	ADJ
cana-4666	224	8	kdv	kdv	NOUN
cana-4666	224	9	equation	equation	NOUN
cana-4666	224	10	:	:	PUNCT
cana-4666	224	11	an	an	DET
cana-4666	224	12	integrable	integrable	ADJ
cana-4666	224	13	system	system	NOUN
cana-4666	224	14	,	,	PUNCT
cana-4666	224	15	”	"	PUNCT
cana-4666	224	16	physicsletters	physicsletter	NOUN
cana-4666	224	17	a	a	PRON
cana-4666	224	18	,	,	PUNCT
cana-4666	224	19	vol.102	vol.102	PROPN
cana-4666	224	20	,	,	PUNCT
cana-4666	224	21	pp	pp	ADJ
cana-4666	224	22	.	.	PUNCT
cana-4666	225	1	213	213	NUM
cana-4666	225	2	-	-	SYM
cana-4666	225	3	215	215	NUM
cana-4666	225	4	,	,	PUNCT
cana-4666	225	5	1984	1984	NUM
cana-4666	225	6	.	.	PUNCT
cana-4666	226	1	15	15	NUM
cana-4666	226	2	.	.	PUNCT
cana-4666	227	1	r.r	r.r	PROPN
cana-4666	227	2	.	.	PROPN
cana-4666	227	3	long	long	ADV
cana-4666	227	4	,	,	PUNCT
cana-4666	227	5	“	"	PUNCT
cana-4666	227	6	solitary	solitary	ADJ
cana-4666	227	7	waves	wave	NOUN
cana-4666	227	8	in	in	ADP
cana-4666	227	9	oneand	oneand	ADJ
cana-4666	227	10	two	two	NUM
cana-4666	227	11	-	-	PUNCT
cana-4666	227	12	fluids	fluid	NOUN
cana-4666	227	13	systems	system	NOUN
cana-4666	227	14	,	,	PUNCT
cana-4666	227	15	”	"	PUNCT
cana-4666	227	16	tellus	tellus	ADJ
cana-4666	227	17	,	,	PUNCT
cana-4666	227	18	vol	vol	NOUN
cana-4666	227	19	.	.	NOUN
cana-4666	227	20	8	8	NUM
cana-4666	227	21	,	,	PUNCT
cana-4666	227	22	pp	pp	ADJ
cana-4666	227	23	.	.	PUNCT
cana-4666	228	1	460	460	NUM
cana-4666	228	2	-	-	SYM
cana-4666	228	3	471	471	NUM
cana-4666	228	4	,	,	PUNCT
cana-4666	228	5	1956	1956	NUM
cana-4666	228	6	.	.	PUNCT
cana-4666	229	1	16	16	NUM
cana-4666	229	2	.	.	PUNCT
cana-4666	230	1	d.j	d.j	PROPN
cana-4666	230	2	.	.	PROPN
cana-4666	230	3	benney	benney	PROPN
cana-4666	230	4	,	,	PUNCT
cana-4666	230	5	“	"	PUNCT
cana-4666	230	6	long	long	ADJ
cana-4666	230	7	nonlinear	nonlinear	ADJ
cana-4666	230	8	waves	wave	NOUN
cana-4666	230	9	in	in	ADP
cana-4666	230	10	fluid	fluid	ADJ
cana-4666	230	11	flows	flow	NOUN
cana-4666	230	12	,	,	PUNCT
cana-4666	230	13	”	"	PUNCT
cana-4666	230	14	journal	journal	NOUN
cana-4666	230	15	of	of	ADP
cana-4666	230	16	mathematics	mathematics	PROPN
cana-4666	230	17	and	and	CCONJ
cana-4666	230	18	physics	physics	NOUN
cana-4666	230	19	,	,	PUNCT
cana-4666	230	20	vol	vol	NOUN
cana-4666	230	21	.	.	PROPN
cana-4666	231	1	45	45	NUM
cana-4666	231	2	,	,	PUNCT
cana-4666	231	3	pp	pp	ADJ
cana-4666	231	4	.	.	PUNCT
cana-4666	232	1	52	52	NUM
cana-4666	232	2	-	-	SYM
cana-4666	232	3	63	63	NUM
cana-4666	232	4	,	,	PUNCT
cana-4666	232	5	1966	1966	NUM
cana-4666	232	6	.	.	PUNCT
cana-4666	233	1	communications	communication	NOUN
cana-4666	233	2	on	on	ADP
cana-4666	233	3	applied	apply	VERB
cana-4666	233	4	nonlinear	nonlinear	ADJ
cana-4666	233	5	analysis	analysis	NOUN
cana-4666	233	6	issn	issn	NOUN
cana-4666	233	7	:	:	PUNCT
cana-4666	233	8	1074	1074	NUM
cana-4666	233	9	-	-	PUNCT
cana-4666	233	10	133x	133x	NUM
cana-4666	233	11	vol	vol	VERB
cana-4666	233	12	32	32	NUM
cana-4666	233	13	no	no	NOUN
cana-4666	233	14	.	.	PUNCT
cana-4666	234	1	10s	10	NOUN
cana-4666	234	2	(	(	PUNCT
cana-4666	234	3	2025	2025	NUM
cana-4666	234	4	)	)	PUNCT
cana-4666	234	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	234	6	114	114	NUM
cana-4666	234	7	17	17	NUM
cana-4666	234	8	.	.	PUNCT
cana-4666	235	1	t.	t.	PROPN
cana-4666	235	2	kawahara	kawahara	PROPN
cana-4666	235	3	,	,	PUNCT
cana-4666	235	4	“	"	PUNCT
cana-4666	235	5	oscillatory	oscillatory	ADJ
cana-4666	235	6	solitary	solitary	ADJ
cana-4666	235	7	waves	wave	NOUN
cana-4666	235	8	in	in	ADP
cana-4666	235	9	dispersive	dispersive	ADJ
cana-4666	235	10	media	medium	NOUN
cana-4666	235	11	,	,	PUNCT
cana-4666	235	12	”	"	PUNCT
cana-4666	235	13	journal	journal	NOUN
cana-4666	235	14	of	of	ADP
cana-4666	235	15	physical	physical	ADJ
cana-4666	235	16	society	society	NOUN
cana-4666	235	17	of	of	ADP
cana-4666	235	18	japan	japan	PROPN
cana-4666	235	19	,	,	PUNCT
cana-4666	235	20	vol	vol	NOUN
cana-4666	235	21	.	.	PROPN
cana-4666	236	1	33	33	NUM
cana-4666	236	2	,	,	PUNCT
cana-4666	236	3	pp	pp	ADJ
cana-4666	236	4	.	.	PUNCT
cana-4666	237	1	260	260	NUM
cana-4666	237	2	-	-	SYM
cana-4666	237	3	264	264	NUM
cana-4666	237	4	,	,	PUNCT
cana-4666	237	5	1972	1972	NUM
cana-4666	237	6	.	.	PUNCT
cana-4666	238	1	18	18	NUM
cana-4666	238	2	.	.	X
cana-4666	238	3	d.	d.	PROPN
cana-4666	238	4	kaya	kaya	PROPN
cana-4666	238	5	and	and	CCONJ
cana-4666	238	6	s.	s.	PROPN
cana-4666	238	7	m.	m.	PROPN
cana-4666	238	8	el	el	PROPN
cana-4666	238	9	sayad	sayad	PROPN
cana-4666	238	10	,	,	PUNCT
cana-4666	238	11	“	"	PUNCT
cana-4666	238	12	an	an	DET
cana-4666	238	13	application	application	NOUN
cana-4666	238	14	of	of	ADP
cana-4666	238	15	the	the	DET
cana-4666	238	16	decomposition	decomposition	NOUN
cana-4666	238	17	method	method	NOUN
cana-4666	238	18	for	for	ADP
cana-4666	238	19	the	the	DET
cana-4666	238	20	generalized	generalized	ADJ
cana-4666	238	21	kdv	kdv	NOUN
cana-4666	238	22	and	and	CCONJ
cana-4666	238	23	rlw	rlw	VERB
cana-4666	238	24	equations	equation	NOUN
cana-4666	238	25	,	,	PUNCT
cana-4666	238	26	”	"	PUNCT
cana-4666	238	27	chaos	chaos	NOUN
cana-4666	238	28	,	,	PUNCT
cana-4666	238	29	solitons	soliton	NOUN
cana-4666	238	30	&	&	CCONJ
cana-4666	238	31	fractals	fractal	NOUN
cana-4666	238	32	,	,	PUNCT
cana-4666	238	33	vol	vol	NOUN
cana-4666	238	34	.	.	PROPN
cana-4666	238	35	17	17	NUM
cana-4666	238	36	,	,	PUNCT
cana-4666	238	37	pp	pp	ADJ
cana-4666	238	38	.	.	PUNCT
cana-4666	238	39	869	869	NUM
cana-4666	238	40	-	-	SYM
cana-4666	238	41	877	877	NUM
cana-4666	238	42	,	,	PUNCT
cana-4666	238	43	2003	2003	NUM
cana-4666	238	44	.	.	PUNCT
cana-4666	239	1	19	19	NUM
cana-4666	239	2	.	.	PUNCT
cana-4666	239	3	d.d	d.d	PROPN
cana-4666	239	4	.	.	PROPN
cana-4666	239	5	bhatta	bhatta	PROPN
cana-4666	239	6	and	and	CCONJ
cana-4666	239	7	m.i	m.i	PROPN
cana-4666	239	8	.	.	PROPN
cana-4666	239	9	bhatti	bhatti	PROPN
cana-4666	239	10	,	,	PUNCT
cana-4666	239	11	“	"	PUNCT
cana-4666	239	12	numerical	numerical	ADJ
cana-4666	239	13	solution	solution	NOUN
cana-4666	239	14	of	of	ADP
cana-4666	239	15	kdv	kdv	NOUN
cana-4666	239	16	equation	equation	NOUN
cana-4666	239	17	using	use	VERB
cana-4666	239	18	modified	modify	VERB
cana-4666	239	19	bernstein	bernstein	PROPN
cana-4666	239	20	polynomials	polynomial	NOUN
cana-4666	239	21	,	,	PUNCT
cana-4666	239	22	”	"	PUNCT
cana-4666	239	23	computers	computer	NOUN
cana-4666	239	24	&	&	CCONJ
cana-4666	239	25	mathematics	mathematic	NOUN
cana-4666	239	26	with	with	ADP
cana-4666	239	27	applications	application	NOUN
cana-4666	239	28	,	,	PUNCT
cana-4666	239	29	vol	vol	NOUN
cana-4666	239	30	.	.	PROPN
cana-4666	239	31	174	174	NUM
cana-4666	239	32	,	,	PUNCT
cana-4666	239	33	pp	pp	ADJ
cana-4666	239	34	.	.	PUNCT
cana-4666	240	1	1255	1255	NUM
cana-4666	240	2	-	-	SYM
cana-4666	240	3	1268	1268	NUM
cana-4666	240	4	,	,	PUNCT
cana-4666	240	5	2006	2006	NUM
cana-4666	240	6	.	.	PUNCT
cana-4666	241	1	20	20	NUM
cana-4666	241	2	.	.	X
cana-4666	242	1	a.r	a.r	PROPN
cana-4666	242	2	.	.	PROPN
cana-4666	242	3	seadawy	seadawy	PROPN
cana-4666	242	4	,	,	PUNCT
cana-4666	242	5	“	"	PUNCT
cana-4666	242	6	new	new	ADJ
cana-4666	242	7	exact	exact	ADJ
cana-4666	242	8	solutions	solution	NOUN
cana-4666	242	9	for	for	ADP
cana-4666	242	10	the	the	DET
cana-4666	242	11	kdv	kdv	NOUN
cana-4666	242	12	equation	equation	NOUN
cana-4666	242	13	with	with	ADP
cana-4666	242	14	higher	high	ADJ
cana-4666	242	15	order	order	NOUN
cana-4666	242	16	nonlinearity	nonlinearity	NOUN
cana-4666	242	17	by	by	ADP
cana-4666	242	18	using	use	VERB
cana-4666	242	19	the	the	DET
cana-4666	242	20	variational	variational	ADJ
cana-4666	242	21	method	method	NOUN
cana-4666	242	22	,	,	PUNCT
cana-4666	242	23	”	"	PUNCT
cana-4666	242	24	computers	computer	NOUN
cana-4666	242	25	&	&	CCONJ
cana-4666	242	26	mathematics	mathematic	NOUN
cana-4666	242	27	with	with	ADP
cana-4666	242	28	applications	application	NOUN
cana-4666	242	29	,	,	PUNCT
cana-4666	242	30	vol	vol	NOUN
cana-4666	242	31	.	.	PROPN
cana-4666	242	32	62	62	NUM
cana-4666	242	33	,	,	PUNCT
cana-4666	242	34	pp	pp	ADJ
cana-4666	242	35	.	.	PUNCT
cana-4666	243	1	3741	3741	NUM
cana-4666	243	2	-	-	SYM
cana-4666	243	3	3755	3755	NUM
cana-4666	243	4	,	,	PUNCT
cana-4666	243	5	2011	2011	NUM
cana-4666	243	6	.	.	PUNCT
cana-4666	244	1	21	21	NUM
cana-4666	244	2	.	.	X
cana-4666	244	3	aly	aly	PROPN
cana-4666	244	4	r.	r.	PROPN
cana-4666	244	5	seadawy	seadawy	PROPN
cana-4666	244	6	,	,	PUNCT
cana-4666	244	7	dianchen	dianchen	PROPN
cana-4666	244	8	lu	lu	PROPN
cana-4666	244	9	&	&	CCONJ
cana-4666	244	10	chen	chen	PROPN
cana-4666	244	11	yue	yue	PROPN
cana-4666	244	12	,	,	PUNCT
cana-4666	244	13	“	"	PUNCT
cana-4666	244	14	travelling	travel	VERB
cana-4666	244	15	wave	wave	NOUN
cana-4666	244	16	solutions	solution	NOUN
cana-4666	244	17	of	of	ADP
cana-4666	244	18	the	the	DET
cana-4666	244	19	generalized	generalized	ADJ
cana-4666	244	20	nonlinear	nonlinear	ADJ
cana-4666	244	21	fifth	fifth	ADJ
cana-4666	244	22	-	-	PUNCT
cana-4666	244	23	order	order	NOUN
cana-4666	244	24	kdv	kdv	NOUN
cana-4666	244	25	water	water	NOUN
cana-4666	244	26	wave	wave	NOUN
cana-4666	244	27	equations	equation	NOUN
cana-4666	244	28	and	and	CCONJ
cana-4666	244	29	its	its	PRON
cana-4666	244	30	stability	stability	NOUN
cana-4666	244	31	,	,	PUNCT
cana-4666	244	32	”	"	PUNCT
cana-4666	244	33	journal	journal	NOUN
cana-4666	244	34	of	of	ADP
cana-4666	244	35	taibah	taibah	PROPN
cana-4666	244	36	university	university	PROPN
cana-4666	244	37	for	for	ADP
cana-4666	244	38	science	science	NOUN
cana-4666	244	39	,	,	PUNCT
cana-4666	244	40	vol.11	vol.11	PROPN
cana-4666	244	41	,	,	PUNCT
cana-4666	244	42	pp	pp	PROPN
cana-4666	244	43	.	.	PUNCT
cana-4666	245	1	623	623	NUM
cana-4666	245	2	-	-	SYM
cana-4666	245	3	633	633	NUM
cana-4666	245	4	,	,	PUNCT
cana-4666	245	5	2017	2017	NUM
cana-4666	245	6	.	.	PUNCT
cana-4666	246	1	22	22	NUM
cana-4666	246	2	.	.	PUNCT
cana-4666	247	1	g.	g.	PROPN
cana-4666	247	2	wang	wang	PROPN
cana-4666	247	3	,	,	PUNCT
cana-4666	247	4	“	"	PUNCT
cana-4666	247	5	symmetry	symmetry	NOUN
cana-4666	247	6	analysis	analysis	NOUN
cana-4666	247	7	,	,	PUNCT
cana-4666	247	8	analytical	analytical	ADJ
cana-4666	247	9	solutions	solution	NOUN
cana-4666	247	10	and	and	CCONJ
cana-4666	247	11	conservation	conservation	NOUN
cana-4666	247	12	laws	law	NOUN
cana-4666	247	13	of	of	ADP
cana-4666	247	14	a	a	DET
cana-4666	247	15	generalized	generalized	ADJ
cana-4666	247	16	kdv	kdv	NOUN
cana-4666	247	17	–	–	PUNCT
cana-4666	247	18	burgers	burger	NOUN
cana-4666	247	19	–	–	PUNCT
cana-4666	247	20	kuramoto	kuramoto	NOUN
cana-4666	247	21	equation	equation	NOUN
cana-4666	247	22	and	and	CCONJ
cana-4666	247	23	its	its	PRON
cana-4666	247	24	fractional	fractional	ADJ
cana-4666	247	25	version	version	NOUN
cana-4666	247	26	,	,	PUNCT
cana-4666	247	27	”	"	PUNCT
cana-4666	247	28	world	world	NOUN
cana-4666	247	29	scientific	scientific	ADJ
cana-4666	247	30	,	,	PUNCT
cana-4666	247	31	vol	vol	NOUN
cana-4666	247	32	.	.	PROPN
cana-4666	247	33	29	29	NUM
cana-4666	247	34	,	,	PUNCT
cana-4666	247	35	2021	2021	NUM
cana-4666	247	36	.	.	PUNCT
cana-4666	248	1	23	23	NUM
cana-4666	248	2	.	.	X
cana-4666	249	1	a.a	a.a	PROPN
cana-4666	249	2	.	.	PROPN
cana-4666	249	3	alderremy	alderremy	PROPN
cana-4666	249	4	,	,	PUNCT
cana-4666	249	5	shaban	shaban	PROPN
cana-4666	249	6	aly	aly	PROPN
cana-4666	249	7	,	,	PUNCT
cana-4666	249	8	rabia	rabia	PROPN
cana-4666	249	9	fayyaz	fayyaz	PROPN
cana-4666	249	10	,	,	PUNCT
cana-4666	249	11	adnan	adnan	PROPN
cana-4666	249	12	khan	khan	PROPN
cana-4666	249	13	,	,	PUNCT
cana-4666	249	14	rasool	rasool	NOUN
cana-4666	249	15	shah	shah	NOUN
cana-4666	249	16	,	,	PUNCT
cana-4666	249	17	and	and	CCONJ
cana-4666	249	18	noorolhuda	noorolhuda	NOUN
cana-4666	249	19	wyal	wyal	NOUN
cana-4666	249	20	,	,	PUNCT
cana-4666	249	21	“	"	PUNCT
cana-4666	249	22	the	the	DET
cana-4666	249	23	analysis	analysis	NOUN
cana-4666	249	24	of	of	ADP
cana-4666	249	25	fractional	fractional	ADJ
cana-4666	249	26	-	-	PUNCT
cana-4666	249	27	order	order	NOUN
cana-4666	249	28	nonlinear	nonlinear	ADJ
cana-4666	249	29	systems	system	NOUN
cana-4666	249	30	of	of	ADP
cana-4666	249	31	third	third	ADJ
cana-4666	249	32	order	order	NOUN
cana-4666	249	33	kdv	kdv	NOUN
cana-4666	249	34	and	and	CCONJ
cana-4666	249	35	burgers	burger	NOUN
cana-4666	249	36	equations	equation	NOUN
cana-4666	249	37	via	via	ADP
cana-4666	249	38	a	a	DET
cana-4666	249	39	novel	novel	ADJ
cana-4666	249	40	transform	transform	NOUN
cana-4666	249	41	,	,	PUNCT
cana-4666	249	42	”	"	PUNCT
cana-4666	249	43	applications	application	NOUN
cana-4666	249	44	of	of	ADP
cana-4666	249	45	delay	delay	NOUN
cana-4666	249	46	differential	differential	ADJ
cana-4666	249	47	equations	equation	NOUN
cana-4666	249	48	in	in	ADP
cana-4666	249	49	biological	biological	ADJ
cana-4666	249	50	systems	system	NOUN
cana-4666	249	51	2021,vol.22	2021,vol.22	NUM
cana-4666	249	52	,	,	PUNCT
cana-4666	249	53	pp.1	pp.1	NOUN
cana-4666	249	54	-	-	PUNCT
cana-4666	249	55	24	24	NUM
cana-4666	249	56	,	,	PUNCT
cana-4666	249	57	2022	2022	NUM
cana-4666	249	58	.	.	PUNCT
cana-4666	250	1	24	24	NUM
cana-4666	250	2	.	.	PUNCT
cana-4666	251	1	h.	h.	PROPN
cana-4666	251	2	rezazadeh	rezazadeh	PROPN
cana-4666	251	3	,	,	PUNCT
cana-4666	251	4	a.g	a.g	PROPN
cana-4666	251	5	.	.	PROPN
cana-4666	251	6	davodi	davodi	PROPN
cana-4666	251	7	and	and	CCONJ
cana-4666	251	8	d.	d.	PROPN
cana-4666	251	9	gholami	gholami	PROPN
cana-4666	251	10	,	,	PUNCT
cana-4666	251	11	“	"	PUNCT
cana-4666	251	12	combined	combine	VERB
cana-4666	251	13	formal	formal	ADJ
cana-4666	251	14	periodic	periodic	ADJ
cana-4666	251	15	wave	wave	NOUN
cana-4666	251	16	-	-	PUNCT
cana-4666	251	17	like	like	ADJ
cana-4666	251	18	and	and	CCONJ
cana-4666	251	19	soliton	soliton	NOUN
cana-4666	251	20	-	-	PUNCT
cana-4666	251	21	like	like	ADJ
cana-4666	251	22	solutions	solution	NOUN
cana-4666	251	23	of	of	ADP
cana-4666	251	24	the	the	DET
cana-4666	251	25	conformable	conformable	ADJ
cana-4666	251	26	schrödinger	schrödinger	ADJ
cana-4666	251	27	-	-	PUNCT
cana-4666	251	28	kdv	kdv	NOUN
cana-4666	251	29	equation	equation	NOUN
cana-4666	251	30	using	use	VERB
cana-4666	251	31	the	the	DET
cana-4666	251	32	g′/g	g′/g	ADJ
cana-4666	251	33	-	-	PUNCT
cana-4666	251	34	expansion	expansion	NOUN
cana-4666	251	35	technique	technique	NOUN
cana-4666	251	36	,	,	PUNCT
cana-4666	251	37	”	"	PUNCT
cana-4666	251	38	results	result	NOUN
cana-4666	251	39	in	in	ADP
cana-4666	251	40	physics	physics	NOUN
cana-4666	251	41	,	,	PUNCT
cana-4666	251	42	vol	vol	NOUN
cana-4666	251	43	.	.	PROPN
cana-4666	252	1	47	47	NUM
cana-4666	252	2	,	,	PUNCT
cana-4666	252	3	2023	2023	NUM
cana-4666	252	4	.	.	PUNCT
cana-4666	253	1	25	25	NUM
cana-4666	253	2	.	.	PUNCT
cana-4666	253	3	r.khalil	r.khalil	PROPN
cana-4666	253	4	,	,	PUNCT
cana-4666	253	5	m.a.horani	m.a.horani	NOUN
cana-4666	253	6	,	,	PUNCT
cana-4666	253	7	a.yousef	a.yousef	NOUN
cana-4666	253	8	,	,	PUNCT
cana-4666	253	9	and	and	CCONJ
cana-4666	253	10	m.sababheh	m.sababheh	NOUN
cana-4666	253	11	,	,	PUNCT
cana-4666	253	12	“	"	PUNCT
cana-4666	253	13	a	a	DET
cana-4666	253	14	new	new	ADJ
cana-4666	253	15	definition	definition	NOUN
cana-4666	253	16	of	of	ADP
cana-4666	253	17	fractional	fractional	ADJ
cana-4666	253	18	derivative	derivative	ADJ
cana-4666	253	19	,	,	PUNCT
cana-4666	253	20	”	"	PUNCT
cana-4666	253	21	journal	journal	NOUN
cana-4666	253	22	of	of	ADP
cana-4666	253	23	computational	computational	ADJ
cana-4666	253	24	and	and	CCONJ
cana-4666	253	25	applied	applied	ADJ
cana-4666	253	26	mathematics	mathematic	NOUN
cana-4666	253	27	,	,	PUNCT
cana-4666	253	28	vol	vol	NOUN
cana-4666	253	29	.	.	PROPN
cana-4666	253	30	264	264	NUM
cana-4666	253	31	,	,	PUNCT
cana-4666	253	32	pp	pp	ADJ
cana-4666	253	33	.	.	PUNCT
cana-4666	254	1	65–70	65–70	NUM
cana-4666	254	2	,	,	PUNCT
cana-4666	254	3	2014	2014	NUM
cana-4666	254	4	.	.	PUNCT
cana-4666	255	1	26	26	NUM
cana-4666	255	2	.	.	PUNCT
cana-4666	255	3	a.	a.	PROPN
cana-4666	255	4	atangana	atangana	PROPN
cana-4666	255	5	,	,	PUNCT
cana-4666	255	6	d.	d.	PROPN
cana-4666	255	7	baleanu	baleanu	PROPN
cana-4666	255	8	,	,	PUNCT
cana-4666	255	9	and	and	CCONJ
cana-4666	255	10	a.	a.	NOUN
cana-4666	255	11	alsaedi	alsaedi	PROPN
cana-4666	255	12	,	,	PUNCT
cana-4666	255	13	“	"	PUNCT
cana-4666	255	14	new	new	ADJ
cana-4666	255	15	properties	property	NOUN
cana-4666	255	16	of	of	ADP
cana-4666	255	17	conformable	conformable	ADJ
cana-4666	255	18	derivative	derivative	NOUN
cana-4666	255	19	,	,	PUNCT
cana-4666	255	20	”	"	PUNCT
cana-4666	255	21	open	open	ADJ
cana-4666	255	22	mathematics	mathematic	NOUN
cana-4666	255	23	,	,	PUNCT
cana-4666	255	24	vol	vol	NOUN
cana-4666	255	25	.	.	PROPN
cana-4666	255	26	13	13	NUM
cana-4666	255	27	,	,	PUNCT
cana-4666	255	28	pp	pp	ADJ
cana-4666	255	29	.	.	PUNCT
cana-4666	256	1	889–898	889–898	NUM
cana-4666	256	2	,	,	PUNCT
cana-4666	256	3	2015	2015	NUM
cana-4666	256	4	.	.	PUNCT
cana-4666	257	1	27	27	NUM
cana-4666	257	2	.	.	X
cana-4666	258	1	r.kumar	r.kumar	NUM
cana-4666	258	2	,	,	PUNCT
cana-4666	258	3	a.bansal	a.bansal	NOUN
cana-4666	258	4	and	and	CCONJ
cana-4666	258	5	s.saini,“traveling	s.saini,“travele	VERB
cana-4666	258	6	wave	wave	NOUN
cana-4666	258	7	solutions	solution	NOUN
cana-4666	258	8	and	and	CCONJ
cana-4666	258	9	bifurcation	bifurcation	NOUN
cana-4666	258	10	analysis	analysis	NOUN
cana-4666	258	11	of	of	ADP
cana-4666	258	12	chaffee	chaffee	PROPN
cana-4666	258	13	–	–	PUNCT
cana-4666	258	14	infante	infante	NOUN
cana-4666	258	15	equation	equation	NOUN
cana-4666	258	16	,	,	PUNCT
cana-4666	258	17	”	"	PUNCT
cana-4666	258	18	in	in	ADP
cana-4666	258	19	proceedings	proceeding	NOUN
cana-4666	258	20	of	of	ADP
cana-4666	258	21	international	international	ADJ
cana-4666	258	22	communications	communication	NOUN
cana-4666	258	23	on	on	ADP
cana-4666	258	24	applied	apply	VERB
cana-4666	258	25	nonlinear	nonlinear	ADJ
cana-4666	258	26	analysis	analysis	NOUN
cana-4666	258	27	issn	issn	NOUN
cana-4666	258	28	:	:	PUNCT
cana-4666	258	29	1074	1074	NUM
cana-4666	258	30	-	-	PUNCT
cana-4666	258	31	133x	133x	NUM
cana-4666	258	32	vol	vol	VERB
cana-4666	258	33	32	32	NUM
cana-4666	258	34	no	no	NOUN
cana-4666	258	35	.	.	PUNCT
cana-4666	259	1	10s	10	NOUN
cana-4666	259	2	(	(	PUNCT
cana-4666	259	3	2025	2025	NUM
cana-4666	259	4	)	)	PUNCT
cana-4666	259	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	259	6	115	115	NUM
cana-4666	259	7	conference	conference	NOUN
cana-4666	259	8	on	on	ADP
cana-4666	259	9	trends	trend	NOUN
cana-4666	259	10	in	in	ADP
cana-4666	259	11	computational	computational	ADJ
cana-4666	259	12	and	and	CCONJ
cana-4666	259	13	cognitive	cognitive	ADJ
cana-4666	259	14	engineering	engineering	NOUN
cana-4666	259	15	,	,	PUNCT
cana-4666	259	16	tcce	tcce	NOUN
cana-4666	259	17	2019	2019	NUM
cana-4666	259	18	,	,	PUNCT
cana-4666	259	19	pp	pp	ADJ
cana-4666	259	20	.	.	PUNCT
cana-4666	260	1	153–161	153–161	NUM
cana-4666	260	2	,	,	PUNCT
cana-4666	260	3	2020	2020	NUM
cana-4666	260	4	.	.	PUNCT
cana-4666	261	1	28	28	NUM
cana-4666	261	2	.	.	X
cana-4666	262	1	r.kumar	r.kumar	NOUN
cana-4666	262	2	,	,	PUNCT
cana-4666	262	3	r.k.gupta	r.k.gupta	NOUN
cana-4666	262	4	and	and	CCONJ
cana-4666	262	5	s.s.bhatia	s.s.bhatia	VERB
cana-4666	262	6	,	,	PUNCT
cana-4666	262	7	“	"	PUNCT
cana-4666	262	8	the	the	DET
cana-4666	262	9	new	new	ADJ
cana-4666	262	10	generalized	generalized	ADJ
cana-4666	262	11	(	(	PUNCT
cana-4666	262	12	𝐺′	𝐺′	PUNCT
cana-4666	262	13	𝐺	𝐺	NOUN
cana-4666	262	14	)	)	PUNCT
cana-4666	262	15	-expansion	-expansion	PROPN
cana-4666	262	16	method	method	NOUN
cana-4666	262	17	for	for	ADP
cana-4666	262	18	solving	solve	VERB
cana-4666	262	19	(	(	PUNCT
cana-4666	262	20	2	2	NUM
cana-4666	262	21	+	+	NOUN
cana-4666	262	22	1)-dimensional	1)-dimensional	PROPN
cana-4666	262	23	pkp	pkp	PROPN
cana-4666	262	24	equation	equation	NOUN
cana-4666	262	25	,	,	PUNCT
cana-4666	262	26	”	"	PUNCT
cana-4666	262	27	international	international	ADJ
cana-4666	262	28	journal	journal	NOUN
cana-4666	262	29	of	of	ADP
cana-4666	262	30	nonlinear	nonlinear	ADJ
cana-4666	262	31	science	science	NOUN
cana-4666	262	32	,	,	PUNCT
cana-4666	262	33	vol	vol	NOUN
cana-4666	262	34	.	.	PROPN
cana-4666	263	1	14	14	NUM
cana-4666	263	2	,	,	PUNCT
cana-4666	263	3	pp	pp	ADJ
cana-4666	263	4	.	.	PUNCT
cana-4666	264	1	48	48	NUM
cana-4666	264	2	-	-	SYM
cana-4666	264	3	52	52	NUM
cana-4666	264	4	,	,	PUNCT
cana-4666	264	5	2012	2012	NUM
cana-4666	264	6	.	.	PUNCT
cana-4666	265	1	29	29	NUM
cana-4666	265	2	.	.	PUNCT
cana-4666	266	1	a.a.tayyan	a.a.tayyan	PROPN
cana-4666	266	2	and	and	CCONJ
cana-4666	266	3	a.h.sakka	a.h.sakka	NOUN
cana-4666	266	4	,	,	PUNCT
cana-4666	266	5	“	"	PUNCT
cana-4666	266	6	symmetries	symmetry	NOUN
cana-4666	266	7	and	and	CCONJ
cana-4666	266	8	exact	exact	ADJ
cana-4666	266	9	solutions	solution	NOUN
cana-4666	266	10	of	of	ADP
cana-4666	266	11	conformable	conformable	ADJ
cana-4666	266	12	fractional	fractional	ADJ
cana-4666	266	13	partial	partial	ADJ
cana-4666	266	14	differential	differential	NOUN
cana-4666	266	15	equations	equation	NOUN
cana-4666	266	16	,	,	PUNCT
cana-4666	266	17	”	"	PUNCT
cana-4666	266	18	palestine	palestine	PROPN
cana-4666	266	19	journal	journal	PROPN
cana-4666	266	20	of	of	ADP
cana-4666	266	21	mathematics	mathematics	PROPN
cana-4666	266	22	,	,	PUNCT
cana-4666	266	23	vol	vol	NOUN
cana-4666	266	24	.	.	PROPN
cana-4666	266	25	9	9	NUM
cana-4666	266	26	,	,	PUNCT
cana-4666	266	27	pp	pp	ADJ
cana-4666	266	28	.	.	PUNCT
cana-4666	267	1	300–311	300–311	NUM
cana-4666	267	2	,	,	PUNCT
cana-4666	267	3	2020	2020	NUM
cana-4666	267	4	.	.	PUNCT
cana-4666	268	1	30	30	NUM
cana-4666	268	2	.	.	PUNCT
cana-4666	269	1	o.p	o.p	PROPN
cana-4666	269	2	.	.	PROPN
cana-4666	269	3	bhutani	bhutani	PROPN
cana-4666	269	4	,	,	PUNCT
cana-4666	269	5	g.	g.	PROPN
cana-4666	269	6	chandrasekaran	chandrasekaran	PROPN
cana-4666	269	7	and	and	CCONJ
cana-4666	269	8	p.	p.	PROPN
cana-4666	269	9	mittal	mittal	NOUN
cana-4666	269	10	,	,	PUNCT
cana-4666	269	11	“	"	PUNCT
cana-4666	269	12	on	on	ADP
cana-4666	269	13	the	the	DET
cana-4666	269	14	exact	exact	ADJ
cana-4666	269	15	solutions	solution	NOUN
cana-4666	269	16	of	of	ADP
cana-4666	269	17	nonlinear	nonlinear	ADJ
cana-4666	269	18	differential	differential	ADJ
cana-4666	269	19	equations	equation	NOUN
cana-4666	269	20	of	of	ADP
cana-4666	269	21	nonlinear	nonlinear	ADJ
cana-4666	269	22	engineering	engineering	NOUN
cana-4666	269	23	system	system	NOUN
cana-4666	269	24	via	via	ADP
cana-4666	269	25	invariant	invariant	ADJ
cana-4666	269	26	variational	variational	ADJ
cana-4666	269	27	principles	principle	NOUN
cana-4666	269	28	,	,	PUNCT
cana-4666	269	29	”	"	PUNCT
cana-4666	269	30	international	international	ADJ
cana-4666	269	31	journal	journal	NOUN
cana-4666	269	32	of	of	ADP
cana-4666	269	33	engineering	engineering	NOUN
cana-4666	269	34	science	science	NOUN
cana-4666	269	35	,	,	PUNCT
cana-4666	269	36	vol	vol	NOUN
cana-4666	269	37	.	.	PROPN
cana-4666	269	38	26	26	NUM
cana-4666	269	39	,	,	PUNCT
cana-4666	269	40	pp	pp	ADJ
cana-4666	269	41	.	.	PUNCT
cana-4666	270	1	243–248	243–248	NUM
cana-4666	270	2	,	,	PUNCT
cana-4666	270	3	1988	1988	NUM
cana-4666	270	4	.	.	PUNCT
cana-4666	271	1	31	31	NUM
cana-4666	271	2	.	.	X
cana-4666	272	1	r.kumar	r.kumar	NOUN
cana-4666	272	2	,	,	PUNCT
cana-4666	272	3	r.kumar	r.kumar	NUM
cana-4666	272	4	,	,	PUNCT
cana-4666	272	5	a.bansal	a.bansal	NOUN
cana-4666	272	6	,	,	PUNCT
cana-4666	272	7	a.biswas	a.biswas	ADV
cana-4666	272	8	,	,	PUNCT
cana-4666	272	9	y.yildirim	y.yildirim	PROPN
cana-4666	272	10	,	,	PUNCT
cana-4666	272	11	s.p.moshokoa	s.p.moshokoa	ADJ
cana-4666	272	12	and	and	CCONJ
cana-4666	272	13	a.asiri	a.asiri	ADV
cana-4666	272	14	,	,	PUNCT
cana-4666	272	15	“	"	PUNCT
cana-4666	272	16	optical	optical	ADJ
cana-4666	272	17	solitons	soliton	NOUN
cana-4666	272	18	and	and	CCONJ
cana-4666	272	19	group	group	NOUN
cana-4666	272	20	invariants	invariant	NOUN
cana-4666	272	21	for	for	ADP
cana-4666	272	22	chen	chen	PROPN
cana-4666	272	23	-	-	PUNCT
cana-4666	272	24	lee	lee	PROPN
cana-4666	272	25	-	-	PUNCT
cana-4666	272	26	liu	liu	PROPN
cana-4666	272	27	equation	equation	NOUN
cana-4666	272	28	with	with	ADP
cana-4666	272	29	time	time	NOUN
cana-4666	272	30	-	-	PUNCT
cana-4666	272	31	dependent	dependent	ADJ
cana-4666	272	32	chromatic	chromatic	ADJ
cana-4666	272	33	dispersion	dispersion	NOUN
cana-4666	272	34	and	and	CCONJ
cana-4666	272	35	nonlinearity	nonlinearity	NOUN
cana-4666	272	36	by	by	ADP
cana-4666	272	37	lie	lie	NOUN
cana-4666	272	38	symmetry	symmetry	NOUN
cana-4666	272	39	,	,	PUNCT
cana-4666	272	40	”	"	PUNCT
cana-4666	272	41	ukrainian	ukrainian	ADJ
cana-4666	272	42	journal	journal	PROPN
cana-4666	272	43	of	of	ADP
cana-4666	272	44	physics	physics	NOUN
cana-4666	272	45	optics	optic	NOUN
cana-4666	272	46	,	,	PUNCT
cana-4666	272	47	vol	vol	NOUN
cana-4666	272	48	.	.	PROPN
cana-4666	272	49	24	24	NUM
cana-4666	272	50	,	,	PUNCT
cana-4666	272	51	pp	pp	ADJ
cana-4666	272	52	.	.	PUNCT
cana-4666	272	53	04021	04021	NUM
cana-4666	272	54	-	-	PUNCT
cana-4666	272	55	04021	04021	NUM
cana-4666	272	56	,	,	PUNCT
cana-4666	272	57	2023	2023	NUM
cana-4666	272	58	.	.	PUNCT
cana-4666	273	1	32	32	NUM
cana-4666	273	2	.	.	PUNCT
cana-4666	274	1	o.	o.	PROPN
cana-4666	274	2	s.	s.	PROPN
cana-4666	274	3	iyiola	iyiola	PROPN
cana-4666	274	4	and	and	CCONJ
cana-4666	274	5	e.	e.	PROPN
cana-4666	274	6	r.	r.	PROPN
cana-4666	274	7	nwaeze	nwaeze	PROPN
cana-4666	274	8	,	,	PUNCT
cana-4666	274	9	“	"	PUNCT
cana-4666	274	10	some	some	DET
cana-4666	274	11	new	new	ADJ
cana-4666	274	12	results	result	NOUN
cana-4666	274	13	on	on	ADP
cana-4666	274	14	the	the	DET
cana-4666	274	15	new	new	ADJ
cana-4666	274	16	conformable	conformable	ADJ
cana-4666	274	17	fractional	fractional	ADJ
cana-4666	274	18	calculus	calculus	NOUN
cana-4666	274	19	with	with	ADP
cana-4666	274	20	application	application	NOUN
cana-4666	274	21	using	use	VERB
cana-4666	274	22	d’alambert	d’alambert	PROPN
cana-4666	274	23	approach	approach	NOUN
cana-4666	274	24	,	,	PUNCT
cana-4666	274	25	”	"	PUNCT
cana-4666	274	26	progress	progress	NOUN
cana-4666	274	27	in	in	ADP
cana-4666	274	28	fractional	fractional	ADJ
cana-4666	274	29	differentiations	differentiation	NOUN
cana-4666	274	30	and	and	CCONJ
cana-4666	274	31	applications	application	NOUN
cana-4666	274	32	,	,	PUNCT
cana-4666	274	33	vol	vol	NOUN
cana-4666	274	34	.	.	PROPN
cana-4666	275	1	2	2	NUM
cana-4666	275	2	,	,	PUNCT
cana-4666	275	3	pp	pp	ADJ
cana-4666	275	4	.	.	PUNCT
cana-4666	276	1	115–122	115–122	NUM
cana-4666	276	2	,	,	PUNCT
cana-4666	276	3	2016	2016	NUM
cana-4666	276	4	.	.	PUNCT
cana-4666	277	1	33	33	NUM
cana-4666	277	2	.	.	PUNCT
cana-4666	277	3	m.	m.	PROPN
cana-4666	277	4	z.	z.	PROPN
cana-4666	277	5	sarikaya	sarikaya	PROPN
cana-4666	277	6	,	,	PUNCT
cana-4666	277	7	“	"	PUNCT
cana-4666	277	8	gronwall	gronwall	ADJ
cana-4666	277	9	type	type	NOUN
cana-4666	277	10	inequality	inequality	NOUN
cana-4666	277	11	for	for	ADP
cana-4666	277	12	confromable	confromable	ADJ
cana-4666	277	13	fractional	fractional	ADJ
cana-4666	277	14	integrals	integral	NOUN
cana-4666	277	15	,	,	PUNCT
cana-4666	277	16	rgmita	rgmita	NOUN
cana-4666	277	17	research	research	NOUN
cana-4666	277	18	report	report	NOUN
cana-4666	277	19	collection	collection	NOUN
cana-4666	277	20	,	,	PUNCT
cana-4666	277	21	”	"	PUNCT
cana-4666	277	22	2016	2016	NUM
cana-4666	277	23	.	.	PUNCT
cana-4666	278	1	34	34	NUM
cana-4666	278	2	.	.	PUNCT
cana-4666	279	1	f.	f.	PROPN
cana-4666	279	2	usta	usta	PROPN
cana-4666	279	3	and	and	CCONJ
cana-4666	279	4	m.	m.	PROPN
cana-4666	279	5	z.	z.	PROPN
cana-4666	279	6	sarikaya	sarikaya	PROPN
cana-4666	279	7	,	,	PUNCT
cana-4666	279	8	“	"	PUNCT
cana-4666	279	9	on	on	ADP
cana-4666	279	10	generalization	generalization	NOUN
cana-4666	279	11	conformable	conformable	ADJ
cana-4666	279	12	fractional	fractional	ADJ
cana-4666	279	13	integral	integral	ADJ
cana-4666	279	14	inequalities	inequality	NOUN
cana-4666	279	15	,	,	PUNCT
cana-4666	279	16	rgmita	rgmita	PROPN
cana-4666	279	17	research	research	PROPN
cana-4666	279	18	report	report	NOUN
cana-4666	279	19	collection	collection	NOUN
cana-4666	279	20	,	,	PUNCT
cana-4666	279	21	”	"	PUNCT
cana-4666	279	22	2016	2016	NUM
cana-4666	279	23	.	.	PUNCT
cana-4666	280	1	35	35	NUM
cana-4666	280	2	.	.	PUNCT
cana-4666	281	1	p.	p.	NOUN
cana-4666	281	2	michal	michal	PROPN
cana-4666	281	3	and	and	CCONJ
cana-4666	281	4	p.	p.	PROPN
cana-4666	281	5	skripkova	skripkova	PROPN
cana-4666	281	6	,	,	PUNCT
cana-4666	281	7	“	"	PUNCT
cana-4666	281	8	sturm	sturm	PROPN
cana-4666	281	9	’s	’s	PART
cana-4666	281	10	theorems	theorem	NOUN
cana-4666	281	11	for	for	ADP
cana-4666	281	12	conformable	conformable	ADJ
cana-4666	281	13	fractional	fractional	ADJ
cana-4666	281	14	differential	differential	NOUN
cana-4666	281	15	equations	equation	NOUN
cana-4666	281	16	,	,	PUNCT
cana-4666	281	17	”	"	PUNCT
cana-4666	281	18	mathematical	mathematical	ADJ
cana-4666	281	19	communications	communication	NOUN
cana-4666	281	20	,	,	PUNCT
cana-4666	281	21	vol	vol	NOUN
cana-4666	281	22	.	.	PROPN
cana-4666	281	23	21	21	NUM
cana-4666	281	24	,	,	PUNCT
cana-4666	281	25	pp	pp	ADJ
cana-4666	281	26	.	.	PUNCT
cana-4666	282	1	273–281	273–281	NUM
cana-4666	282	2	,	,	PUNCT
cana-4666	282	3	2016	2016	NUM
cana-4666	282	4	.	.	PUNCT
cana-4666	283	1	36	36	NUM
cana-4666	283	2	.	.	PUNCT
cana-4666	284	1	u.fuat	u.fuat	PROPN
cana-4666	284	2	and	and	CCONJ
cana-4666	284	3	z.s.mehmet	z.s.mehmet	PROPN
cana-4666	284	4	,	,	PUNCT
cana-4666	284	5	“	"	PUNCT
cana-4666	284	6	explicit	explicit	ADJ
cana-4666	284	7	bounds	bound	NOUN
cana-4666	284	8	on	on	ADP
cana-4666	284	9	certain	certain	ADJ
cana-4666	284	10	integral	integral	ADJ
cana-4666	284	11	inequalities	inequality	NOUN
cana-4666	284	12	via	via	ADP
cana-4666	284	13	conformable	conformable	ADJ
cana-4666	284	14	fractional	fractional	ADJ
cana-4666	284	15	calculus	calculus	NOUN
cana-4666	284	16	,	,	PUNCT
cana-4666	284	17	”	"	PUNCT
cana-4666	284	18	coget	coget	NOUN
cana-4666	284	19	mathematics	mathematic	NOUN
cana-4666	284	20	,	,	PUNCT
cana-4666	284	21	vol	vol	NOUN
cana-4666	284	22	.	.	PROPN
cana-4666	284	23	4	4	NUM
cana-4666	284	24	,	,	PUNCT
cana-4666	284	25	no	no	INTJ
cana-4666	284	26	.	.	NOUN
cana-4666	284	27	1	1	NUM
cana-4666	284	28	,	,	PUNCT
cana-4666	284	29	article	article	NOUN
cana-4666	284	30	1277505	1277505	NUM
cana-4666	284	31	,	,	PUNCT
cana-4666	284	32	2017	2017	NUM
cana-4666	284	33	.	.	PUNCT
cana-4666	285	1	37	37	NUM
cana-4666	285	2	.	.	PUNCT
cana-4666	285	3	b.	b.	PROPN
cana-4666	285	4	a.	a.	PROPN
cana-4666	285	5	tayyan	tayyan	PROPN
cana-4666	285	6	and	and	CCONJ
cana-4666	285	7	a.	a.	NOUN
cana-4666	285	8	h.	h.	PROPN
cana-4666	285	9	sakka	sakka	NOUN
cana-4666	285	10	,	,	PUNCT
cana-4666	285	11	“	"	PUNCT
cana-4666	285	12	symmetries	symmetry	NOUN
cana-4666	285	13	and	and	CCONJ
cana-4666	285	14	exact	exact	ADJ
cana-4666	285	15	solutions	solution	NOUN
cana-4666	285	16	of	of	ADP
cana-4666	285	17	conformable	conformable	ADJ
cana-4666	285	18	fractional	fractional	ADJ
cana-4666	285	19	partial	partial	ADJ
cana-4666	285	20	differential	differential	NOUN
cana-4666	285	21	equations	equation	NOUN
cana-4666	285	22	,	,	PUNCT
cana-4666	285	23	”	"	PUNCT
cana-4666	285	24	palestine	palestine	PROPN
cana-4666	285	25	journal	journal	PROPN
cana-4666	285	26	of	of	ADP
cana-4666	285	27	mathematics	mathematics	PROPN
cana-4666	285	28	,	,	PUNCT
cana-4666	285	29	vol	vol	NOUN
cana-4666	285	30	.	.	PROPN
cana-4666	285	31	9	9	NUM
cana-4666	285	32	,	,	PUNCT
cana-4666	285	33	pp	pp	ADJ
cana-4666	285	34	.	.	PUNCT
cana-4666	286	1	300–311	300–311	NUM
cana-4666	286	2	,	,	PUNCT
cana-4666	286	3	2020	2020	NUM
cana-4666	286	4	.	.	PUNCT
cana-4666	287	1	38	38	NUM
cana-4666	287	2	.	.	PUNCT
cana-4666	288	1	m.a.hammad	m.a.hammad	NOUN
cana-4666	288	2	and	and	CCONJ
cana-4666	288	3	r.khalil,“abel	r.khalil,“abel	VERB
cana-4666	288	4	’s	’s	PART
cana-4666	288	5	formula	formula	NOUN
cana-4666	288	6	for	for	ADP
cana-4666	288	7	conformable	conformable	ADJ
cana-4666	288	8	fractional	fractional	ADJ
cana-4666	288	9	differential	differential	NOUN
cana-4666	288	10	equations	equation	NOUN
cana-4666	288	11	,	,	PUNCT
cana-4666	288	12	”	"	PUNCT
cana-4666	288	13	international	international	ADJ
cana-4666	288	14	journal	journal	NOUN
cana-4666	288	15	of	of	ADP
cana-4666	288	16	differential	differential	ADJ
cana-4666	288	17	equations	equation	NOUN
cana-4666	288	18	and	and	CCONJ
cana-4666	288	19	applications	application	NOUN
cana-4666	288	20	,	,	PUNCT
cana-4666	288	21	vol	vol	NOUN
cana-4666	288	22	.	.	PROPN
cana-4666	288	23	13	13	NUM
cana-4666	288	24	,	,	PUNCT
cana-4666	288	25	pp	pp	ADJ
cana-4666	288	26	.	.	PUNCT
cana-4666	289	1	177–183	177–183	NUM
cana-4666	289	2	,	,	PUNCT
cana-4666	289	3	2014	2014	NUM
cana-4666	289	4	.	.	PUNCT
cana-4666	290	1	39	39	NUM
cana-4666	290	2	.	.	PUNCT
cana-4666	291	1	t.	t.	PROPN
cana-4666	291	2	abdeljawad	abdeljawad	PROPN
cana-4666	291	3	,	,	PUNCT
cana-4666	291	4	m.	m.	NOUN
cana-4666	291	5	a.	a.	PROPN
cana-4666	291	6	horani	horani	PROPN
cana-4666	291	7	,	,	PUNCT
cana-4666	291	8	and	and	CCONJ
cana-4666	291	9	r.	r.	PROPN
cana-4666	291	10	khalil	khalil	PROPN
cana-4666	291	11	,	,	PUNCT
cana-4666	291	12	“	"	PUNCT
cana-4666	291	13	conformable	conformable	ADJ
cana-4666	291	14	fractional	fractional	ADJ
cana-4666	291	15	semigroups	semigroup	NOUN
cana-4666	291	16	of	of	ADP
cana-4666	291	17	operators	operator	NOUN
cana-4666	291	18	,	,	PUNCT
cana-4666	291	19	”	"	PUNCT
cana-4666	291	20	journal	journal	NOUN
cana-4666	291	21	of	of	ADP
cana-4666	291	22	semigroup	semigroup	PROPN
cana-4666	291	23	and	and	CCONJ
cana-4666	291	24	applications	application	NOUN
cana-4666	291	25	,	,	PUNCT
cana-4666	291	26	2015	2015	NUM
cana-4666	291	27	.	.	PUNCT
cana-4666	292	1	40	40	NUM
cana-4666	292	2	.	.	PUNCT
cana-4666	293	1	r.kumar	r.kumar	NOUN
cana-4666	293	2	,	,	PUNCT
cana-4666	293	3	r.k.gupta	r.k.gupta	NOUN
cana-4666	293	4	and	and	CCONJ
cana-4666	293	5	s.s.bhatia	s.s.bhatia	VERB
cana-4666	293	6	,	,	PUNCT
cana-4666	293	7	“	"	PUNCT
cana-4666	293	8	the	the	DET
cana-4666	293	9	new	new	ADJ
cana-4666	293	10	generalized	generalized	ADJ
cana-4666	293	11	(	(	PUNCT
cana-4666	293	12	𝐺′	𝐺′	NUM
cana-4666	293	13	)	)	PUNCT
cana-4666	293	14	-expansion	-expansion	PROPN
cana-4666	293	15	𝐺	𝐺	PROPN
cana-4666	293	16	method	method	NOUN
cana-4666	293	17	for	for	ADP
cana-4666	293	18	solving	solve	VERB
cana-4666	293	19	(	(	PUNCT
cana-4666	293	20	2	2	NUM
cana-4666	293	21	+	+	NOUN
cana-4666	293	22	1)-dimensional	1)-dimensional	PROPN
cana-4666	293	23	pkp	pkp	PROPN
cana-4666	293	24	equation	equation	NOUN
cana-4666	293	25	,	,	PUNCT
cana-4666	293	26	”	"	PUNCT
cana-4666	293	27	international	international	ADJ
cana-4666	293	28	journal	journal	NOUN
cana-4666	293	29	of	of	ADP
cana-4666	293	30	nonlinear	nonlinear	ADJ
cana-4666	293	31	science	science	NOUN
cana-4666	293	32	,	,	PUNCT
cana-4666	293	33	vol	vol	NOUN
cana-4666	293	34	.	.	PROPN
cana-4666	293	35	14	14	NUM
cana-4666	293	36	,	,	PUNCT
cana-4666	293	37	pp	pp	ADJ
cana-4666	293	38	.	.	PUNCT
cana-4666	294	1	48	48	NUM
cana-4666	294	2	-	-	SYM
cana-4666	294	3	52	52	NUM
cana-4666	294	4	,	,	PUNCT
cana-4666	294	5	2012	2012	NUM
cana-4666	294	6	.	.	PUNCT
cana-4666	295	1	communications	communication	NOUN
cana-4666	295	2	on	on	ADP
cana-4666	295	3	applied	apply	VERB
cana-4666	295	4	nonlinear	nonlinear	ADJ
cana-4666	295	5	analysis	analysis	NOUN
cana-4666	295	6	issn	issn	NOUN
cana-4666	295	7	:	:	PUNCT
cana-4666	295	8	1074	1074	NUM
cana-4666	295	9	-	-	PUNCT
cana-4666	295	10	133x	133x	NUM
cana-4666	295	11	vol	vol	VERB
cana-4666	295	12	32	32	NUM
cana-4666	295	13	no	no	NOUN
cana-4666	295	14	.	.	PUNCT
cana-4666	296	1	10s	10	NOUN
cana-4666	296	2	(	(	PUNCT
cana-4666	296	3	2025	2025	NUM
cana-4666	296	4	)	)	PUNCT
cana-4666	296	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4666	296	6	116	116	NUM