id	sid	tid	token	lemma	pos
ejpam-4774	1	1	european	european	PROPN
ejpam-4774	1	2	journal	journal	PROPN
ejpam-4774	1	3	of	of	ADP
ejpam-4774	1	4	pure	pure	ADJ
ejpam-4774	1	5	and	and	CCONJ
ejpam-4774	1	6	applied	apply	VERB
ejpam-4774	1	7	mathematics	mathematic	NOUN
ejpam-4774	1	8	vol	vol	NOUN
ejpam-4774	1	9	.	.	PUNCT
ejpam-4774	2	1	16	16	NUM
ejpam-4774	2	2	,	,	PUNCT
ejpam-4774	2	3	no	no	INTJ
ejpam-4774	2	4	.	.	NOUN
ejpam-4774	2	5	2	2	NUM
ejpam-4774	2	6	,	,	PUNCT
ejpam-4774	2	7	2023	2023	NUM
ejpam-4774	2	8	,	,	PUNCT
ejpam-4774	2	9	1274	1274	NUM
ejpam-4774	2	10	-	-	SYM
ejpam-4774	2	11	1289	1289	NUM
ejpam-4774	2	12	issn	issn	PROPN
ejpam-4774	2	13	1307	1307	NUM
ejpam-4774	2	14	-	-	SYM
ejpam-4774	2	15	5543	5543	NUM
ejpam-4774	2	16	–	–	PUNCT
ejpam-4774	2	17	ejpam.com	ejpam.com	X
ejpam-4774	2	18	published	publish	VERB
ejpam-4774	2	19	by	by	ADP
ejpam-4774	2	20	new	new	PROPN
ejpam-4774	2	21	york	york	PROPN
ejpam-4774	2	22	business	business	PROPN
ejpam-4774	2	23	global	global	ADJ
ejpam-4774	2	24	adapting	adapt	VERB
ejpam-4774	2	25	integral	integral	ADJ
ejpam-4774	2	26	transforms	transform	NOUN
ejpam-4774	2	27	to	to	PART
ejpam-4774	2	28	create	create	VERB
ejpam-4774	2	29	solitary	solitary	ADJ
ejpam-4774	2	30	solutions	solution	NOUN
ejpam-4774	2	31	for	for	ADP
ejpam-4774	2	32	partial	partial	ADJ
ejpam-4774	2	33	differential	differential	ADJ
ejpam-4774	2	34	equations	equation	NOUN
ejpam-4774	2	35	via	via	ADP
ejpam-4774	2	36	a	a	DET
ejpam-4774	2	37	new	new	ADJ
ejpam-4774	2	38	approach	approach	NOUN
ejpam-4774	2	39	rania	rania	PROPN
ejpam-4774	2	40	saadeh1	saadeh1	PROPN
ejpam-4774	2	41	,	,	PUNCT
ejpam-4774	2	42	ahmad	ahmad	PROPN
ejpam-4774	2	43	qazza1,∗	qazza1,∗	NOUN
ejpam-4774	2	44	,	,	PUNCT
ejpam-4774	2	45	aliaa	aliaa	NOUN
ejpam-4774	2	46	burqan1	burqan1	X
ejpam-4774	2	47	,	,	PUNCT
ejpam-4774	2	48	dumitru	dumitru	PROPN
ejpam-4774	2	49	baleanu2,3	baleanu2,3	PROPN
ejpam-4774	2	50	1	1	NUM
ejpam-4774	2	51	department	department	NOUN
ejpam-4774	2	52	of	of	ADP
ejpam-4774	2	53	mathematics	mathematic	NOUN
ejpam-4774	2	54	,	,	PUNCT
ejpam-4774	2	55	zarqa	zarqa	PROPN
ejpam-4774	2	56	university	university	PROPN
ejpam-4774	2	57	,	,	PUNCT
ejpam-4774	2	58	zarqa	zarqa	PROPN
ejpam-4774	2	59	13110	13110	NUM
ejpam-4774	2	60	,	,	PUNCT
ejpam-4774	2	61	jordan	jordan	PROPN
ejpam-4774	2	62	2	2	NUM
ejpam-4774	2	63	department	department	NOUN
ejpam-4774	2	64	of	of	ADP
ejpam-4774	2	65	mathematics	mathematics	PROPN
ejpam-4774	2	66	,	,	PUNCT
ejpam-4774	2	67	cankaya	cankaya	PROPN
ejpam-4774	2	68	university	university	PROPN
ejpam-4774	2	69	,	,	PUNCT
ejpam-4774	2	70	06530	06530	NUM
ejpam-4774	2	71	ankara	ankara	PROPN
ejpam-4774	2	72	,	,	PUNCT
ejpam-4774	2	73	turkey	turkey	PROPN
ejpam-4774	2	74	3	3	NUM
ejpam-4774	2	75	institute	institute	PROPN
ejpam-4774	2	76	of	of	ADP
ejpam-4774	2	77	space	space	NOUN
ejpam-4774	2	78	science	science	NOUN
ejpam-4774	2	79	,	,	PUNCT
ejpam-4774	2	80	magurele	magurele	PROPN
ejpam-4774	2	81	-	-	PUNCT
ejpam-4774	2	82	bucharest	bucharest	PROPN
ejpam-4774	2	83	,	,	PUNCT
ejpam-4774	2	84	romania	romania	PROPN
ejpam-4774	2	85	abstract	abstract	NOUN
ejpam-4774	2	86	.	.	PUNCT
ejpam-4774	3	1	in	in	ADP
ejpam-4774	3	2	this	this	DET
ejpam-4774	3	3	article	article	NOUN
ejpam-4774	3	4	,	,	PUNCT
ejpam-4774	3	5	a	a	DET
ejpam-4774	3	6	new	new	ADJ
ejpam-4774	3	7	effective	effective	ADJ
ejpam-4774	3	8	technique	technique	NOUN
ejpam-4774	3	9	is	be	AUX
ejpam-4774	3	10	implemented	implement	VERB
ejpam-4774	3	11	to	to	PART
ejpam-4774	3	12	solve	solve	VERB
ejpam-4774	3	13	families	family	NOUN
ejpam-4774	3	14	of	of	ADP
ejpam-4774	3	15	nonlinear	nonlinear	ADJ
ejpam-4774	3	16	partial	partial	ADJ
ejpam-4774	3	17	differential	differential	NOUN
ejpam-4774	3	18	equations	equation	NOUN
ejpam-4774	3	19	(	(	PUNCT
ejpam-4774	3	20	nlpdes	nlpde	NOUN
ejpam-4774	3	21	)	)	PUNCT
ejpam-4774	3	22	.	.	PUNCT
ejpam-4774	4	1	the	the	DET
ejpam-4774	4	2	proposed	propose	VERB
ejpam-4774	4	3	method	method	NOUN
ejpam-4774	4	4	combines	combine	VERB
ejpam-4774	4	5	the	the	DET
ejpam-4774	4	6	double	double	ADJ
ejpam-4774	4	7	ara	ara	NOUN
ejpam-4774	4	8	-	-	PUNCT
ejpam-4774	4	9	sumudu	sumudu	NOUN
ejpam-4774	4	10	transform	transform	NOUN
ejpam-4774	4	11	with	with	ADP
ejpam-4774	4	12	the	the	DET
ejpam-4774	4	13	numerical	numerical	ADJ
ejpam-4774	4	14	iterative	iterative	PROPN
ejpam-4774	4	15	method	method	NOUN
ejpam-4774	4	16	to	to	PART
ejpam-4774	4	17	get	get	VERB
ejpam-4774	4	18	the	the	DET
ejpam-4774	4	19	exact	exact	ADJ
ejpam-4774	4	20	solutions	solution	NOUN
ejpam-4774	4	21	of	of	ADP
ejpam-4774	4	22	nlpdes	nlpde	NOUN
ejpam-4774	4	23	.	.	PUNCT
ejpam-4774	5	1	the	the	DET
ejpam-4774	5	2	successive	successive	ADJ
ejpam-4774	5	3	iterative	iterative	NOUN
ejpam-4774	5	4	method	method	NOUN
ejpam-4774	5	5	was	be	AUX
ejpam-4774	5	6	used	use	VERB
ejpam-4774	5	7	to	to	PART
ejpam-4774	5	8	find	find	VERB
ejpam-4774	5	9	the	the	DET
ejpam-4774	5	10	solution	solution	NOUN
ejpam-4774	5	11	of	of	ADP
ejpam-4774	5	12	nonlinear	nonlinear	ADJ
ejpam-4774	5	13	terms	term	NOUN
ejpam-4774	5	14	of	of	ADP
ejpam-4774	5	15	these	these	DET
ejpam-4774	5	16	equations	equation	NOUN
ejpam-4774	5	17	.	.	PUNCT
ejpam-4774	6	1	in	in	ADP
ejpam-4774	6	2	order	order	NOUN
ejpam-4774	6	3	to	to	PART
ejpam-4774	6	4	show	show	VERB
ejpam-4774	6	5	the	the	DET
ejpam-4774	6	6	efficiency	efficiency	NOUN
ejpam-4774	6	7	and	and	CCONJ
ejpam-4774	6	8	applicability	applicability	NOUN
ejpam-4774	6	9	of	of	ADP
ejpam-4774	6	10	the	the	DET
ejpam-4774	6	11	presented	present	VERB
ejpam-4774	6	12	method	method	NOUN
ejpam-4774	6	13	,	,	PUNCT
ejpam-4774	6	14	some	some	DET
ejpam-4774	6	15	physical	physical	ADJ
ejpam-4774	6	16	applications	application	NOUN
ejpam-4774	6	17	are	be	AUX
ejpam-4774	6	18	analyzed	analyze	VERB
ejpam-4774	6	19	and	and	CCONJ
ejpam-4774	6	20	illustrated	illustrate	VERB
ejpam-4774	6	21	,	,	PUNCT
ejpam-4774	6	22	and	and	CCONJ
ejpam-4774	6	23	to	to	PART
ejpam-4774	6	24	defend	defend	VERB
ejpam-4774	6	25	our	our	PRON
ejpam-4774	6	26	results	result	NOUN
ejpam-4774	6	27	,	,	PUNCT
ejpam-4774	6	28	some	some	DET
ejpam-4774	6	29	numerical	numerical	ADJ
ejpam-4774	6	30	examples	example	NOUN
ejpam-4774	6	31	and	and	CCONJ
ejpam-4774	6	32	figures	figure	NOUN
ejpam-4774	6	33	are	be	AUX
ejpam-4774	6	34	discussed	discuss	VERB
ejpam-4774	6	35	.	.	PUNCT
ejpam-4774	7	1	2020	2020	NUM
ejpam-4774	7	2	mathematics	mathematic	NOUN
ejpam-4774	7	3	subject	subject	NOUN
ejpam-4774	7	4	classifications	classification	NOUN
ejpam-4774	7	5	:	:	PUNCT
ejpam-4774	7	6	35a22	35a22	NUM
ejpam-4774	7	7	,	,	PUNCT
ejpam-4774	7	8	44a30	44a30	NUM
ejpam-4774	7	9	,	,	PUNCT
ejpam-4774	7	10	35g31	35g31	NUM
ejpam-4774	7	11	key	key	ADJ
ejpam-4774	7	12	words	word	NOUN
ejpam-4774	7	13	and	and	CCONJ
ejpam-4774	7	14	phrases	phrase	NOUN
ejpam-4774	7	15	:	:	PUNCT
ejpam-4774	7	16	laplace	laplace	NOUN
ejpam-4774	7	17	transform	transform	NOUN
ejpam-4774	7	18	,	,	PUNCT
ejpam-4774	7	19	sumudu	sumudu	NOUN
ejpam-4774	7	20	transform	transform	NOUN
ejpam-4774	7	21	,	,	PUNCT
ejpam-4774	7	22	double	double	ADJ
ejpam-4774	7	23	ara	ara	NOUN
ejpam-4774	7	24	–	–	PUNCT
ejpam-4774	7	25	sumudu	sumudu	NOUN
ejpam-4774	7	26	transform	transform	NOUN
ejpam-4774	7	27	,	,	PUNCT
ejpam-4774	7	28	new	new	ADJ
ejpam-4774	7	29	iterative	iterative	NOUN
ejpam-4774	7	30	method	method	NOUN
ejpam-4774	7	31	,	,	PUNCT
ejpam-4774	7	32	nonlinear	nonlinear	ADJ
ejpam-4774	7	33	partial	partial	ADJ
ejpam-4774	7	34	differential	differential	NOUN
ejpam-4774	7	35	equations	equation	NOUN
ejpam-4774	7	36	.	.	PUNCT
ejpam-4774	8	1	1	1	X
ejpam-4774	8	2	.	.	X
ejpam-4774	8	3	introduction	introduction	NOUN
ejpam-4774	8	4	for	for	ADP
ejpam-4774	8	5	original	original	ADJ
ejpam-4774	8	6	research	research	NOUN
ejpam-4774	8	7	articles	article	NOUN
ejpam-4774	8	8	,	,	PUNCT
ejpam-4774	8	9	clinical	clinical	ADJ
ejpam-4774	8	10	trial	trial	NOUN
ejpam-4774	8	11	articles	article	NOUN
ejpam-4774	8	12	,	,	PUNCT
ejpam-4774	8	13	and	and	CCONJ
ejpam-4774	8	14	technology	technology	NOUN
ejpam-4774	8	15	reports	report	VERB
ejpam-4774	8	16	the	the	DET
ejpam-4774	8	17	introduction	introduction	NOUN
ejpam-4774	8	18	should	should	AUX
ejpam-4774	8	19	be	be	AUX
ejpam-4774	8	20	succinct	succinct	ADJ
ejpam-4774	8	21	,	,	PUNCT
ejpam-4774	8	22	with	with	ADP
ejpam-4774	8	23	no	no	DET
ejpam-4774	8	24	subheadings	subheading	NOUN
ejpam-4774	8	25	.	.	PUNCT
ejpam-4774	9	1	for	for	ADP
ejpam-4774	9	2	case	case	NOUN
ejpam-4774	9	3	reports	report	VERB
ejpam-4774	9	4	the	the	DET
ejpam-4774	9	5	introduction	introduction	NOUN
ejpam-4774	9	6	should	should	AUX
ejpam-4774	9	7	include	include	VERB
ejpam-4774	9	8	symptoms	symptom	NOUN
ejpam-4774	9	9	at	at	ADP
ejpam-4774	9	10	presentation	presentation	NOUN
ejpam-4774	9	11	,	,	PUNCT
ejpam-4774	9	12	physical	physical	ADJ
ejpam-4774	9	13	exams	exam	NOUN
ejpam-4774	9	14	and	and	CCONJ
ejpam-4774	9	15	lab	lab	NOUN
ejpam-4774	9	16	results	result	NOUN
ejpam-4774	9	17	.	.	PUNCT
ejpam-4774	10	1	partial	partial	ADJ
ejpam-4774	10	2	differential	differential	ADJ
ejpam-4774	10	3	equations	equation	NOUN
ejpam-4774	10	4	are	be	AUX
ejpam-4774	10	5	a	a	DET
ejpam-4774	10	6	common	common	ADJ
ejpam-4774	10	7	type	type	NOUN
ejpam-4774	10	8	of	of	ADP
ejpam-4774	10	9	equations	equation	NOUN
ejpam-4774	10	10	used	use	VERB
ejpam-4774	10	11	to	to	PART
ejpam-4774	10	12	model	model	VERB
ejpam-4774	10	13	complicated	complicated	ADJ
ejpam-4774	10	14	dynamical	dynamical	ADJ
ejpam-4774	10	15	systems	system	NOUN
ejpam-4774	10	16	in	in	ADP
ejpam-4774	10	17	the	the	DET
ejpam-4774	10	18	natural	natural	ADJ
ejpam-4774	10	19	and	and	CCONJ
ejpam-4774	10	20	engineering	engineering	NOUN
ejpam-4774	10	21	sciences	science	NOUN
ejpam-4774	10	22	.	.	PUNCT
ejpam-4774	11	1	typically	typically	ADV
ejpam-4774	11	2	,	,	PUNCT
ejpam-4774	11	3	time	time	NOUN
ejpam-4774	11	4	and	and	CCONJ
ejpam-4774	11	5	one	one	NUM
ejpam-4774	11	6	or	or	CCONJ
ejpam-4774	11	7	more	more	ADJ
ejpam-4774	11	8	space	space	NOUN
ejpam-4774	11	9	variables	variable	NOUN
ejpam-4774	11	10	make	make	VERB
ejpam-4774	11	11	up	up	ADP
ejpam-4774	11	12	the	the	DET
ejpam-4774	11	13	independent	independent	ADJ
ejpam-4774	11	14	variables	variable	NOUN
ejpam-4774	11	15	in	in	ADP
ejpam-4774	11	16	these	these	DET
ejpam-4774	11	17	equations	equation	NOUN
ejpam-4774	11	18	.	.	PUNCT
ejpam-4774	12	1	it	it	PRON
ejpam-4774	12	2	is	be	AUX
ejpam-4774	12	3	noteworthy	noteworthy	ADJ
ejpam-4774	12	4	that	that	SCONJ
ejpam-4774	12	5	a	a	DET
ejpam-4774	12	6	large	large	ADJ
ejpam-4774	12	7	variety	variety	NOUN
ejpam-4774	12	8	of	of	ADP
ejpam-4774	12	9	scientifically	scientifically	ADV
ejpam-4774	12	10	and	and	CCONJ
ejpam-4774	12	11	technologically	technologically	ADV
ejpam-4774	12	12	significant	significant	ADJ
ejpam-4774	12	13	phenomena	phenomenon	NOUN
ejpam-4774	12	14	are	be	AUX
ejpam-4774	12	15	non	non	ADJ
ejpam-4774	12	16	-	-	ADJ
ejpam-4774	12	17	linear	linear	ADJ
ejpam-4774	12	18	,	,	PUNCT
ejpam-4774	12	19	and	and	CCONJ
ejpam-4774	12	20	it	it	PRON
ejpam-4774	12	21	is	be	AUX
ejpam-4774	12	22	difficult	difficult	ADJ
ejpam-4774	12	23	to	to	PART
ejpam-4774	12	24	solve	solve	VERB
ejpam-4774	12	25	them	they	PRON
ejpam-4774	12	26	analytically	analytically	ADV
ejpam-4774	12	27	.	.	PUNCT
ejpam-4774	13	1	of	of	ADP
ejpam-4774	13	2	further	further	ADJ
ejpam-4774	13	3	importance	importance	NOUN
ejpam-4774	13	4	is	be	AUX
ejpam-4774	13	5	the	the	DET
ejpam-4774	13	6	fact	fact	NOUN
ejpam-4774	13	7	that	that	SCONJ
ejpam-4774	13	8	several	several	ADJ
ejpam-4774	13	9	techniques	technique	NOUN
ejpam-4774	13	10	exist	exist	VERB
ejpam-4774	13	11	to	to	PART
ejpam-4774	13	12	find	find	VERB
ejpam-4774	13	13	special	special	ADJ
ejpam-4774	13	14	solutions	solution	NOUN
ejpam-4774	13	15	to	to	ADP
ejpam-4774	13	16	these	these	DET
ejpam-4774	13	17	problems	problem	NOUN
ejpam-4774	13	18	and	and	CCONJ
ejpam-4774	13	19	these	these	DET
ejpam-4774	13	20	particular	particular	ADJ
ejpam-4774	13	21	solutions	solution	NOUN
ejpam-4774	13	22	are	be	AUX
ejpam-4774	13	23	required	require	VERB
ejpam-4774	13	24	in	in	ADP
ejpam-4774	13	25	order	order	NOUN
ejpam-4774	13	26	to	to	PART
ejpam-4774	13	27	analyze	analyze	VERB
ejpam-4774	13	28	the	the	DET
ejpam-4774	13	29	relevant	relevant	ADJ
ejpam-4774	13	30	phenomena	phenomenon	NOUN
ejpam-4774	13	31	.	.	PUNCT
ejpam-4774	14	1	various	various	ADJ
ejpam-4774	14	2	effective	effective	ADJ
ejpam-4774	14	3	mathematical	mathematical	ADJ
ejpam-4774	14	4	∗corresponding	∗corresponde	VERB
ejpam-4774	14	5	author	author	NOUN
ejpam-4774	14	6	.	.	PUNCT
ejpam-4774	15	1	doi	doi	NOUN
ejpam-4774	15	2	:	:	PUNCT
ejpam-4774	15	3	https://doi.org/10.29020/nybg.ejpam.v16i2.4774	https://doi.org/10.29020/nybg.ejpam.v16i2.4774	ADP
ejpam-4774	15	4	email	email	NOUN
ejpam-4774	15	5	addresses	address	NOUN
ejpam-4774	15	6	:	:	PUNCT
ejpam-4774	15	7	rsaadeh@zu.edu.jo	rsaadeh@zu.edu.jo	ADJ
ejpam-4774	15	8	(	(	PUNCT
ejpam-4774	15	9	r.	r.	PROPN
ejpam-4774	15	10	saadeh	saadeh	PROPN
ejpam-4774	15	11	)	)	PUNCT
ejpam-4774	15	12	,	,	PUNCT
ejpam-4774	15	13	aqazza@zu.edu.jo	aqazza@zu.edu.jo	NOUN
ejpam-4774	15	14	(	(	PUNCT
ejpam-4774	15	15	a.	a.	NOUN
ejpam-4774	15	16	qazza	qazza	PROPN
ejpam-4774	15	17	)	)	PUNCT
ejpam-4774	15	18	,	,	PUNCT
ejpam-4774	15	19	aliaaburqan@zu.edu.jo	aliaaburqan@zu.edu.jo	PROPN
ejpam-4774	15	20	(	(	PUNCT
ejpam-4774	15	21	a.	a.	NOUN
ejpam-4774	15	22	burqan	burqan	PROPN
ejpam-4774	15	23	)	)	PUNCT
ejpam-4774	15	24	,	,	PUNCT
ejpam-4774	15	25	dumitru@cankaya.edu.tr	dumitru@cankaya.edu.tr	NOUN
ejpam-4774	15	26	(	(	PUNCT
ejpam-4774	15	27	d.	d.	PROPN
ejpam-4774	15	28	baleanu2	baleanu2	PROPN
ejpam-4774	15	29	)	)	PUNCT
ejpam-4774	15	30	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4774	15	31	1274	1274	NUM
ejpam-4774	15	32	©	©	PROPN
ejpam-4774	15	33	2023	2023	NUM
ejpam-4774	15	34	ejpam	ejpam	NOUN
ejpam-4774	15	35	all	all	DET
ejpam-4774	15	36	rights	right	NOUN
ejpam-4774	15	37	reserved	reserve	VERB
ejpam-4774	15	38	.	.	PUNCT
ejpam-4774	16	1	a.	a.	PROPN
ejpam-4774	16	2	qazza	qazza	PROPN
ejpam-4774	16	3	et	et	PROPN
ejpam-4774	16	4	al	al	PROPN
ejpam-4774	16	5	.	.	PUNCT
ejpam-4774	16	6	/	/	SYM
ejpam-4774	16	7	eur	eur	PROPN
ejpam-4774	16	8	.	.	PUNCT
ejpam-4774	17	1	j.	j.	PROPN
ejpam-4774	17	2	pure	pure	PROPN
ejpam-4774	17	3	appl	appl	PROPN
ejpam-4774	17	4	.	.	PROPN
ejpam-4774	17	5	math	math	PROPN
ejpam-4774	17	6	,	,	PUNCT
ejpam-4774	17	7	16	16	NUM
ejpam-4774	17	8	(	(	PUNCT
ejpam-4774	17	9	2	2	NUM
ejpam-4774	17	10	)	)	PUNCT
ejpam-4774	17	11	(	(	PUNCT
ejpam-4774	17	12	2023	2023	NUM
ejpam-4774	17	13	)	)	PUNCT
ejpam-4774	17	14	,	,	PUNCT
ejpam-4774	17	15	1274	1274	NUM
ejpam-4774	17	16	-	-	SYM
ejpam-4774	17	17	1289	1289	NUM
ejpam-4774	17	18	1275	1275	NUM
ejpam-4774	17	19	methods	method	NOUN
ejpam-4774	17	20	have	have	AUX
ejpam-4774	17	21	been	be	AUX
ejpam-4774	17	22	introduced	introduce	VERB
ejpam-4774	17	23	for	for	ADP
ejpam-4774	17	24	obtaining	obtain	VERB
ejpam-4774	17	25	exact	exact	ADJ
ejpam-4774	17	26	and	and	CCONJ
ejpam-4774	17	27	approximate	approximate	ADJ
ejpam-4774	17	28	analytic	analytic	ADJ
ejpam-4774	17	29	solutions	solution	NOUN
ejpam-4774	17	30	of	of	ADP
ejpam-4774	17	31	partial	partial	ADJ
ejpam-4774	17	32	differential	differential	ADJ
ejpam-4774	17	33	equations	equation	NOUN
ejpam-4774	17	34	.	.	PUNCT
ejpam-4774	18	1	some	some	PRON
ejpam-4774	18	2	of	of	ADP
ejpam-4774	18	3	the	the	DET
ejpam-4774	18	4	classic	classic	ADJ
ejpam-4774	18	5	analytic	analytic	ADJ
ejpam-4774	18	6	and	and	CCONJ
ejpam-4774	18	7	numerical	numerical	ADJ
ejpam-4774	18	8	methods	method	NOUN
ejpam-4774	18	9	are	be	AUX
ejpam-4774	18	10	the	the	DET
ejpam-4774	18	11	adomian	adomian	ADJ
ejpam-4774	18	12	decomposition	decomposition	NOUN
ejpam-4774	18	13	method	method	NOUN
ejpam-4774	18	14	[	[	X
ejpam-4774	18	15	1	1	NUM
ejpam-4774	18	16	,	,	PUNCT
ejpam-4774	18	17	11	11	NUM
ejpam-4774	18	18	,	,	PUNCT
ejpam-4774	18	19	12	12	NUM
ejpam-4774	18	20	,	,	PUNCT
ejpam-4774	18	21	17	17	NUM
ejpam-4774	18	22	]	]	PUNCT
ejpam-4774	18	23	,	,	PUNCT
ejpam-4774	18	24	the	the	DET
ejpam-4774	18	25	homotopy	homotopy	NOUN
ejpam-4774	18	26	perturbation	perturbation	NOUN
ejpam-4774	18	27	method	method	NOUN
ejpam-4774	18	28	[	[	X
ejpam-4774	18	29	20	20	NUM
ejpam-4774	18	30	]	]	PUNCT
ejpam-4774	18	31	,	,	PUNCT
ejpam-4774	18	32	the	the	DET
ejpam-4774	18	33	reduced	reduce	VERB
ejpam-4774	18	34	differential	differential	ADJ
ejpam-4774	18	35	transform	transform	NOUN
ejpam-4774	18	36	method	method	NOUN
ejpam-4774	18	37	[	[	X
ejpam-4774	18	38	6	6	NUM
ejpam-4774	18	39	,	,	PUNCT
ejpam-4774	18	40	13	13	NUM
ejpam-4774	18	41	,	,	PUNCT
ejpam-4774	18	42	14	14	NUM
ejpam-4774	18	43	]	]	PUNCT
ejpam-4774	18	44	and	and	CCONJ
ejpam-4774	18	45	the	the	DET
ejpam-4774	18	46	variational	variational	ADJ
ejpam-4774	18	47	iteration	iteration	NOUN
ejpam-4774	18	48	method	method	NOUN
ejpam-4774	18	49	[	[	X
ejpam-4774	18	50	28	28	NUM
ejpam-4774	18	51	,	,	PUNCT
ejpam-4774	18	52	29	29	NUM
ejpam-4774	18	53	]	]	PUNCT
ejpam-4774	18	54	,	,	PUNCT
ejpam-4774	18	55	and	and	CCONJ
ejpam-4774	18	56	others	other	NOUN
ejpam-4774	19	1	[	[	X
ejpam-4774	19	2	15	15	NUM
ejpam-4774	19	3	,	,	PUNCT
ejpam-4774	19	4	21	21	NUM
ejpam-4774	19	5	]	]	PUNCT
ejpam-4774	19	6	.	.	PUNCT
ejpam-4774	20	1	there	there	PRON
ejpam-4774	20	2	are	be	VERB
ejpam-4774	20	3	several	several	ADJ
ejpam-4774	20	4	integral	integral	ADJ
ejpam-4774	20	5	transforms	transform	NOUN
ejpam-4774	20	6	in	in	ADP
ejpam-4774	20	7	the	the	DET
ejpam-4774	20	8	literature	literature	NOUN
ejpam-4774	20	9	,	,	PUNCT
ejpam-4774	20	10	and	and	CCONJ
ejpam-4774	20	11	they	they	PRON
ejpam-4774	20	12	are	be	AUX
ejpam-4774	20	13	widely	widely	ADV
ejpam-4774	20	14	employed	employ	VERB
ejpam-4774	20	15	in	in	ADP
ejpam-4774	20	16	engineering	engineering	NOUN
ejpam-4774	20	17	,	,	PUNCT
ejpam-4774	20	18	physics	physics	NOUN
ejpam-4774	20	19	,	,	PUNCT
ejpam-4774	20	20	and	and	CCONJ
ejpam-4774	20	21	astronomy	astronomy	NOUN
ejpam-4774	20	22	such	such	ADJ
ejpam-4774	20	23	as	as	ADP
ejpam-4774	20	24	laplace	laplace	NOUN
ejpam-4774	20	25	transform	transform	NOUN
ejpam-4774	20	26	,	,	PUNCT
ejpam-4774	20	27	fourier	fourier	NOUN
ejpam-4774	20	28	transform	transform	NOUN
ejpam-4774	20	29	,	,	PUNCT
ejpam-4774	20	30	mellin	mellin	NOUN
ejpam-4774	20	31	transform	transform	NOUN
ejpam-4774	20	32	and	and	CCONJ
ejpam-4774	20	33	others	other	NOUN
ejpam-4774	20	34	.	.	PUNCT
ejpam-4774	21	1	it	it	PRON
ejpam-4774	21	2	is	be	AUX
ejpam-4774	21	3	also	also	ADV
ejpam-4774	21	4	known	know	VERB
ejpam-4774	21	5	that	that	SCONJ
ejpam-4774	21	6	the	the	DET
ejpam-4774	21	7	integral	integral	ADJ
ejpam-4774	21	8	transform	transform	NOUN
ejpam-4774	21	9	method	method	NOUN
ejpam-4774	21	10	is	be	AUX
ejpam-4774	21	11	an	an	DET
ejpam-4774	21	12	effective	effective	ADJ
ejpam-4774	21	13	method	method	NOUN
ejpam-4774	21	14	to	to	PART
ejpam-4774	21	15	solve	solve	VERB
ejpam-4774	21	16	some	some	DET
ejpam-4774	21	17	certain	certain	ADJ
ejpam-4774	21	18	differential	differential	ADJ
ejpam-4774	21	19	equations	equation	NOUN
ejpam-4774	21	20	.	.	PUNCT
ejpam-4774	22	1	the	the	DET
ejpam-4774	22	2	sumudu	sumudu	NOUN
ejpam-4774	22	3	transform	transform	NOUN
ejpam-4774	22	4	(	(	PUNCT
ejpam-4774	22	5	st	st	PROPN
ejpam-4774	22	6	)	)	PUNCT
ejpam-4774	22	7	which	which	PRON
ejpam-4774	22	8	is	be	AUX
ejpam-4774	22	9	defined	define	VERB
ejpam-4774	22	10	by	by	ADP
ejpam-4774	22	11	the	the	DET
ejpam-4774	22	12	following	follow	VERB
ejpam-4774	22	13	formula	formula	NOUN
ejpam-4774	22	14	s	s	PART
ejpam-4774	22	15	[	[	X
ejpam-4774	22	16	f	f	X
ejpam-4774	22	17	(	(	PUNCT
ejpam-4774	22	18	x	x	NOUN
ejpam-4774	22	19	)	)	PUNCT
ejpam-4774	22	20	]	]	PUNCT
ejpam-4774	23	1	=	=	SYM
ejpam-4774	23	2	1	1	NUM
ejpam-4774	23	3	u	u	NOUN
ejpam-4774	23	4	∫	∫	PROPN
ejpam-4774	23	5	∞	∞	NOUN
ejpam-4774	23	6	0	0	NUM
ejpam-4774	24	1	e−	e−	PROPN
ejpam-4774	24	2	x	x	PUNCT
ejpam-4774	24	3	u	u	X
ejpam-4774	24	4	f	f	X
ejpam-4774	24	5	(	(	PUNCT
ejpam-4774	24	6	x	x	X
ejpam-4774	24	7	)	)	PUNCT
ejpam-4774	24	8	dx	dx	PROPN
ejpam-4774	24	9	,	,	PUNCT
ejpam-4774	24	10	u	u	X
ejpam-4774	24	11	>	>	X
ejpam-4774	24	12	0	0	NUM
ejpam-4774	24	13	,	,	PUNCT
ejpam-4774	24	14	was	be	AUX
ejpam-4774	24	15	introduced	introduce	VERB
ejpam-4774	24	16	in	in	ADP
ejpam-4774	24	17	[	[	X
ejpam-4774	24	18	27	27	NUM
ejpam-4774	24	19	]	]	PUNCT
ejpam-4774	24	20	and	and	CCONJ
ejpam-4774	24	21	applied	apply	VERB
ejpam-4774	24	22	to	to	PART
ejpam-4774	24	23	solve	solve	VERB
ejpam-4774	24	24	ordinary	ordinary	ADJ
ejpam-4774	24	25	and	and	CCONJ
ejpam-4774	24	26	partial	partial	ADJ
ejpam-4774	24	27	differential	differential	ADJ
ejpam-4774	24	28	equations	equation	NOUN
ejpam-4774	24	29	.	.	PUNCT
ejpam-4774	25	1	recently	recently	ADV
ejpam-4774	25	2	,	,	PUNCT
ejpam-4774	25	3	a	a	DET
ejpam-4774	25	4	new	new	ADJ
ejpam-4774	25	5	transform	transform	NOUN
ejpam-4774	25	6	called	call	VERB
ejpam-4774	25	7	the	the	DET
ejpam-4774	25	8	ara	ara	PROPN
ejpam-4774	25	9	transform	transform	NOUN
ejpam-4774	25	10	(	(	PUNCT
ejpam-4774	25	11	arat	arat	PROPN
ejpam-4774	25	12	)	)	PUNCT
ejpam-4774	25	13	was	be	AUX
ejpam-4774	25	14	introduced	introduce	VERB
ejpam-4774	25	15	in	in	ADP
ejpam-4774	25	16	[	[	X
ejpam-4774	25	17	22	22	NUM
ejpam-4774	25	18	]	]	PUNCT
ejpam-4774	25	19	and	and	CCONJ
ejpam-4774	25	20	it	it	PRON
ejpam-4774	25	21	is	be	AUX
ejpam-4774	25	22	given	give	VERB
ejpam-4774	25	23	by	by	ADP
ejpam-4774	25	24	gn	gn	PROPN
ejpam-4774	26	1	[	[	X
ejpam-4774	26	2	f	f	X
ejpam-4774	26	3	(	(	PUNCT
ejpam-4774	26	4	x	x	NOUN
ejpam-4774	26	5	)	)	PUNCT
ejpam-4774	26	6	]	]	PUNCT
ejpam-4774	26	7	(	(	PUNCT
ejpam-4774	26	8	s	s	X
ejpam-4774	26	9	)	)	PUNCT
ejpam-4774	26	10	=	=	SYM
ejpam-4774	26	11	f	f	PROPN
ejpam-4774	26	12	(	(	PUNCT
ejpam-4774	26	13	n	n	X
ejpam-4774	26	14	,	,	PUNCT
ejpam-4774	26	15	s	s	X
ejpam-4774	26	16	)	)	PUNCT
ejpam-4774	26	17	=	=	SYM
ejpam-4774	26	18	s	s	PART
ejpam-4774	26	19	∫	∫	PROPN
ejpam-4774	26	20	t	t	PROPN
ejpam-4774	26	21	0	0	NUM
ejpam-4774	26	22	tn−1e−sxf	tn−1e−sxf	NOUN
ejpam-4774	26	23	(	(	PUNCT
ejpam-4774	26	24	x	x	X
ejpam-4774	26	25	)	)	PUNCT
ejpam-4774	26	26	dx	dx	PROPN
ejpam-4774	26	27	,	,	PUNCT
ejpam-4774	26	28	s	s	PART
ejpam-4774	26	29	>	>	X
ejpam-4774	26	30	0	0	NUM
ejpam-4774	26	31	,	,	PUNCT
ejpam-4774	26	32	n	n	PROPN
ejpam-4774	26	33	∈	∈	PROPN
ejpam-4774	26	34	n	n	CCONJ
ejpam-4774	26	35	,	,	PUNCT
ejpam-4774	26	36	g1	g1	VERB
ejpam-4774	27	1	[	[	X
ejpam-4774	27	2	f	f	X
ejpam-4774	27	3	(	(	PUNCT
ejpam-4774	27	4	x	x	NOUN
ejpam-4774	27	5	)	)	PUNCT
ejpam-4774	27	6	]	]	PUNCT
ejpam-4774	28	1	=	=	SYM
ejpam-4774	28	2	s	s	AUX
ejpam-4774	28	3	∫	∫	PROPN
ejpam-4774	28	4	∞	∞	PROPN
ejpam-4774	28	5	0	0	NUM
ejpam-4774	28	6	e−sxf	e−sxf	NOUN
ejpam-4774	28	7	(	(	PUNCT
ejpam-4774	28	8	x	x	X
ejpam-4774	28	9	)	)	PUNCT
ejpam-4774	28	10	dx	dx	PROPN
ejpam-4774	28	11	,	,	PUNCT
ejpam-4774	28	12	s	s	PART
ejpam-4774	28	13	>	>	X
ejpam-4774	28	14	0	0	NUM
ejpam-4774	28	15	.	.	PUNCT
ejpam-4774	29	1	on	on	ADP
ejpam-4774	29	2	the	the	DET
ejpam-4774	29	3	other	other	ADJ
ejpam-4774	29	4	hand	hand	NOUN
ejpam-4774	29	5	,	,	PUNCT
ejpam-4774	29	6	recent	recent	ADJ
ejpam-4774	29	7	research	research	NOUN
ejpam-4774	29	8	has	have	AUX
ejpam-4774	29	9	focused	focus	VERB
ejpam-4774	29	10	mainly	mainly	ADV
ejpam-4774	29	11	on	on	ADP
ejpam-4774	29	12	the	the	DET
ejpam-4774	29	13	double	double	ADJ
ejpam-4774	29	14	integral	integral	ADJ
ejpam-4774	29	15	transform	transform	NOUN
ejpam-4774	29	16	method	method	NOUN
ejpam-4774	29	17	,	,	PUNCT
ejpam-4774	29	18	which	which	PRON
ejpam-4774	29	19	essentially	essentially	ADV
ejpam-4774	29	20	involves	involve	VERB
ejpam-4774	29	21	applying	apply	VERB
ejpam-4774	29	22	the	the	DET
ejpam-4774	29	23	same	same	ADJ
ejpam-4774	29	24	transform	transform	NOUN
ejpam-4774	29	25	twice	twice	ADV
ejpam-4774	29	26	to	to	ADP
ejpam-4774	29	27	functions	function	NOUN
ejpam-4774	29	28	with	with	ADP
ejpam-4774	29	29	two	two	NUM
ejpam-4774	29	30	variables	variable	NOUN
ejpam-4774	29	31	or	or	CCONJ
ejpam-4774	29	32	using	use	VERB
ejpam-4774	29	33	two	two	NUM
ejpam-4774	29	34	distinct	distinct	ADJ
ejpam-4774	29	35	transforms	transform	NOUN
ejpam-4774	29	36	on	on	ADP
ejpam-4774	29	37	the	the	DET
ejpam-4774	29	38	same	same	ADJ
ejpam-4774	29	39	function	function	NOUN
ejpam-4774	29	40	.	.	PUNCT
ejpam-4774	30	1	the	the	DET
ejpam-4774	30	2	literature	literature	NOUN
ejpam-4774	30	3	contains	contain	VERB
ejpam-4774	30	4	a	a	DET
ejpam-4774	30	5	number	number	NOUN
ejpam-4774	30	6	of	of	ADP
ejpam-4774	30	7	definitions	definition	NOUN
ejpam-4774	30	8	of	of	ADP
ejpam-4774	30	9	the	the	DET
ejpam-4774	30	10	double	double	ADJ
ejpam-4774	30	11	integral	integral	ADJ
ejpam-4774	30	12	transform	transform	NOUN
ejpam-4774	30	13	,	,	PUNCT
ejpam-4774	30	14	like	like	ADP
ejpam-4774	30	15	the	the	DET
ejpam-4774	30	16	double	double	ADJ
ejpam-4774	30	17	laplace	laplace	NOUN
ejpam-4774	30	18	transform	transform	NOUN
ejpam-4774	30	19	,	,	PUNCT
ejpam-4774	30	20	the	the	DET
ejpam-4774	30	21	double	double	ADJ
ejpam-4774	30	22	sumudu	sumudu	NOUN
ejpam-4774	30	23	transform	transform	NOUN
ejpam-4774	30	24	[	[	X
ejpam-4774	30	25	9	9	NUM
ejpam-4774	30	26	,	,	PUNCT
ejpam-4774	30	27	16	16	NUM
ejpam-4774	30	28	,	,	PUNCT
ejpam-4774	30	29	26	26	NUM
ejpam-4774	30	30	]	]	PUNCT
ejpam-4774	30	31	,	,	PUNCT
ejpam-4774	30	32	the	the	DET
ejpam-4774	30	33	laplace	laplace	NOUN
ejpam-4774	30	34	-	-	PUNCT
ejpam-4774	30	35	sumudu	sumudu	NOUN
ejpam-4774	30	36	transform	transform	NOUN
ejpam-4774	30	37	[	[	X
ejpam-4774	30	38	2	2	NUM
ejpam-4774	30	39	,	,	PUNCT
ejpam-4774	30	40	3	3	NUM
ejpam-4774	30	41	,	,	PUNCT
ejpam-4774	30	42	5	5	NUM
ejpam-4774	30	43	]	]	PUNCT
ejpam-4774	30	44	and	and	CCONJ
ejpam-4774	30	45	the	the	DET
ejpam-4774	30	46	double	double	ADJ
ejpam-4774	30	47	ara	ara	NOUN
ejpam-4774	30	48	-	-	PUNCT
ejpam-4774	30	49	sumudo	sumudo	VERB
ejpam-4774	30	50	transform	transform	NOUN
ejpam-4774	30	51	(	(	PUNCT
ejpam-4774	30	52	dara	dara	PROPN
ejpam-4774	30	53	-	-	PUNCT
ejpam-4774	30	54	st	st	PROPN
ejpam-4774	30	55	)	)	PUNCT
ejpam-4774	31	1	[	[	X
ejpam-4774	31	2	18	18	NUM
ejpam-4774	31	3	,	,	PUNCT
ejpam-4774	31	4	23	23	NUM
ejpam-4774	31	5	]	]	PUNCT
ejpam-4774	31	6	.	.	PUNCT
ejpam-4774	32	1	it	it	PRON
ejpam-4774	32	2	should	should	AUX
ejpam-4774	32	3	be	be	AUX
ejpam-4774	32	4	noted	note	VERB
ejpam-4774	32	5	that	that	SCONJ
ejpam-4774	32	6	the	the	DET
ejpam-4774	32	7	dara	dara	PROPN
ejpam-4774	32	8	-	-	PUNCT
ejpam-4774	32	9	st	st	PROPN
ejpam-4774	32	10	have	have	AUX
ejpam-4774	32	11	been	be	AUX
ejpam-4774	32	12	applied	apply	VERB
ejpam-4774	32	13	effectively	effectively	ADV
ejpam-4774	32	14	to	to	PART
ejpam-4774	32	15	get	get	VERB
ejpam-4774	32	16	the	the	DET
ejpam-4774	32	17	solution	solution	NOUN
ejpam-4774	32	18	of	of	ADP
ejpam-4774	32	19	some	some	DET
ejpam-4774	32	20	partial	partial	ADJ
ejpam-4774	32	21	differential	differential	ADJ
ejpam-4774	32	22	equations	equation	NOUN
ejpam-4774	32	23	[	[	X
ejpam-4774	32	24	18	18	NUM
ejpam-4774	32	25	]	]	PUNCT
ejpam-4774	32	26	.	.	PUNCT
ejpam-4774	33	1	a	a	DET
ejpam-4774	33	2	powerful	powerful	ADJ
ejpam-4774	33	3	formula	formula	NOUN
ejpam-4774	33	4	for	for	ADP
ejpam-4774	33	5	the	the	DET
ejpam-4774	33	6	dara	dara	PROPN
ejpam-4774	33	7	-	-	PUNCT
ejpam-4774	33	8	st	st	PROPN
ejpam-4774	33	9	of	of	ADP
ejpam-4774	33	10	the	the	DET
ejpam-4774	33	11	caputo	caputo	PROPN
ejpam-4774	33	12	fractional	fractional	PROPN
ejpam-4774	33	13	derivative	derivative	PROPN
ejpam-4774	33	14	was	be	AUX
ejpam-4774	33	15	presented	present	VERB
ejpam-4774	33	16	in	in	ADP
ejpam-4774	33	17	[	[	X
ejpam-4774	33	18	23	23	NUM
ejpam-4774	33	19	]	]	PUNCT
ejpam-4774	33	20	and	and	CCONJ
ejpam-4774	33	21	used	use	VERB
ejpam-4774	33	22	to	to	PART
ejpam-4774	33	23	create	create	VERB
ejpam-4774	33	24	a	a	DET
ejpam-4774	33	25	series	series	NOUN
ejpam-4774	33	26	for	for	ADP
ejpam-4774	33	27	some	some	DET
ejpam-4774	33	28	families	family	NOUN
ejpam-4774	33	29	of	of	ADP
ejpam-4774	33	30	linear	linear	ADJ
ejpam-4774	33	31	fractional	fractional	ADJ
ejpam-4774	33	32	differential	differential	ADJ
ejpam-4774	33	33	equations	equation	NOUN
ejpam-4774	33	34	.	.	PUNCT
ejpam-4774	34	1	regrettably	regrettably	ADV
ejpam-4774	34	2	,	,	PUNCT
ejpam-4774	34	3	unlike	unlike	ADP
ejpam-4774	34	4	other	other	ADJ
ejpam-4774	34	5	integral	integral	ADJ
ejpam-4774	34	6	transforms	transform	NOUN
ejpam-4774	34	7	,	,	PUNCT
ejpam-4774	34	8	dara	dara	PROPN
ejpam-4774	34	9	can	can	AUX
ejpam-4774	34	10	not	not	PART
ejpam-4774	34	11	solve	solve	VERB
ejpam-4774	34	12	many	many	ADJ
ejpam-4774	34	13	complicated	complicated	ADJ
ejpam-4774	34	14	mathematical	mathematical	ADJ
ejpam-4774	34	15	models	model	NOUN
ejpam-4774	34	16	or	or	CCONJ
ejpam-4774	34	17	nonlinear	nonlinear	ADJ
ejpam-4774	34	18	problems	problem	NOUN
ejpam-4774	34	19	.	.	PUNCT
ejpam-4774	35	1	as	as	ADP
ejpam-4774	35	2	a	a	DET
ejpam-4774	35	3	result	result	NOUN
ejpam-4774	35	4	,	,	PUNCT
ejpam-4774	35	5	to	to	PART
ejpam-4774	35	6	solve	solve	VERB
ejpam-4774	35	7	a	a	DET
ejpam-4774	35	8	variety	variety	NOUN
ejpam-4774	35	9	of	of	ADP
ejpam-4774	35	10	nonlinear	nonlinear	ADJ
ejpam-4774	35	11	differential	differential	ADJ
ejpam-4774	35	12	equations	equation	NOUN
ejpam-4774	35	13	,	,	PUNCT
ejpam-4774	35	14	some	some	DET
ejpam-4774	35	15	researchers	researcher	NOUN
ejpam-4774	35	16	have	have	AUX
ejpam-4774	35	17	combined	combine	VERB
ejpam-4774	35	18	these	these	DET
ejpam-4774	35	19	integral	integral	ADJ
ejpam-4774	35	20	transforms	transform	NOUN
ejpam-4774	35	21	with	with	ADP
ejpam-4774	35	22	other	other	ADJ
ejpam-4774	35	23	methods	method	NOUN
ejpam-4774	35	24	,	,	PUNCT
ejpam-4774	35	25	including	include	VERB
ejpam-4774	35	26	the	the	DET
ejpam-4774	35	27	differential	differential	ADJ
ejpam-4774	35	28	transform	transform	NOUN
ejpam-4774	35	29	method	method	NOUN
ejpam-4774	35	30	,	,	PUNCT
ejpam-4774	35	31	the	the	DET
ejpam-4774	35	32	adomian	adomian	NOUN
ejpam-4774	35	33	decomposition	decomposition	NOUN
ejpam-4774	35	34	method	method	NOUN
ejpam-4774	35	35	,	,	PUNCT
ejpam-4774	35	36	the	the	DET
ejpam-4774	35	37	variational	variational	ADJ
ejpam-4774	35	38	iteration	iteration	NOUN
ejpam-4774	35	39	method	method	NOUN
ejpam-4774	35	40	,	,	PUNCT
ejpam-4774	35	41	and	and	CCONJ
ejpam-4774	35	42	the	the	DET
ejpam-4774	35	43	homotopy	homotopy	NOUN
ejpam-4774	35	44	perturbation	perturbation	NOUN
ejpam-4774	35	45	method	method	NOUN
ejpam-4774	35	46	[	[	X
ejpam-4774	35	47	19	19	NUM
ejpam-4774	35	48	,	,	PUNCT
ejpam-4774	35	49	25	25	NUM
ejpam-4774	35	50	]	]	PUNCT
ejpam-4774	35	51	.	.	PUNCT
ejpam-4774	36	1	the	the	DET
ejpam-4774	36	2	main	main	ADJ
ejpam-4774	36	3	objective	objective	NOUN
ejpam-4774	36	4	of	of	ADP
ejpam-4774	36	5	this	this	DET
ejpam-4774	36	6	article	article	NOUN
ejpam-4774	36	7	is	be	AUX
ejpam-4774	36	8	to	to	PART
ejpam-4774	36	9	find	find	VERB
ejpam-4774	36	10	accurate	accurate	ADJ
ejpam-4774	36	11	solutions	solution	NOUN
ejpam-4774	36	12	to	to	PART
ejpam-4774	36	13	nonlinear	nonlinear	VERB
ejpam-4774	36	14	partial	partial	ADJ
ejpam-4774	36	15	differential	differential	NOUN
ejpam-4774	36	16	equations	equation	NOUN
ejpam-4774	36	17	using	use	VERB
ejpam-4774	36	18	the	the	DET
ejpam-4774	36	19	dara	dara	PROPN
ejpam-4774	36	20	-	-	PUNCT
ejpam-4774	36	21	st	st	PROPN
ejpam-4774	36	22	approach	approach	NOUN
ejpam-4774	36	23	,	,	PUNCT
ejpam-4774	36	24	including	include	VERB
ejpam-4774	36	25	the	the	DET
ejpam-4774	36	26	new	new	ADJ
ejpam-4774	36	27	iterative	iterative	NOUN
ejpam-4774	36	28	method	method	NOUN
ejpam-4774	36	29	presented	present	VERB
ejpam-4774	36	30	in	in	ADP
ejpam-4774	36	31	[	[	X
ejpam-4774	36	32	10	10	NUM
ejpam-4774	36	33	,	,	PUNCT
ejpam-4774	36	34	24	24	NUM
ejpam-4774	36	35	]	]	PUNCT
ejpam-4774	36	36	.	.	PUNCT
ejpam-4774	37	1	numerous	numerous	ADJ
ejpam-4774	37	2	researchers	researcher	NOUN
ejpam-4774	37	3	have	have	AUX
ejpam-4774	37	4	extensively	extensively	ADV
ejpam-4774	37	5	employed	employ	VERB
ejpam-4774	37	6	the	the	DET
ejpam-4774	37	7	new	new	ADJ
ejpam-4774	37	8	iterative	iterative	NOUN
ejpam-4774	37	9	method	method	NOUN
ejpam-4774	37	10	to	to	PART
ejpam-4774	37	11	treat	treat	VERB
ejpam-4774	37	12	differential	differential	ADJ
ejpam-4774	37	13	equations	equation	NOUN
ejpam-4774	37	14	that	that	PRON
ejpam-4774	37	15	are	be	AUX
ejpam-4774	37	16	have	have	VERB
ejpam-4774	37	17	integer	integer	NOUN
ejpam-4774	37	18	and	and	CCONJ
ejpam-4774	37	19	fractional	fractional	ADJ
ejpam-4774	37	20	orders	order	NOUN
ejpam-4774	37	21	[	[	X
ejpam-4774	37	22	4	4	NUM
ejpam-4774	37	23	,	,	PUNCT
ejpam-4774	37	24	7	7	NUM
ejpam-4774	37	25	,	,	PUNCT
ejpam-4774	37	26	8	8	NUM
ejpam-4774	37	27	]	]	PUNCT
ejpam-4774	37	28	.	.	PUNCT
ejpam-4774	38	1	the	the	DET
ejpam-4774	38	2	advantage	advantage	NOUN
ejpam-4774	38	3	of	of	ADP
ejpam-4774	38	4	using	use	VERB
ejpam-4774	38	5	the	the	DET
ejpam-4774	38	6	dara	dara	PROPN
ejpam-4774	38	7	-	-	PUNCT
ejpam-4774	38	8	st	st	PROPN
ejpam-4774	38	9	approach	approach	NOUN
ejpam-4774	38	10	along	along	ADP
ejpam-4774	38	11	with	with	ADP
ejpam-4774	38	12	the	the	DET
ejpam-4774	38	13	iterative	iterative	NOUN
ejpam-4774	38	14	method	method	NOUN
ejpam-4774	38	15	is	be	AUX
ejpam-4774	38	16	that	that	SCONJ
ejpam-4774	38	17	,	,	PUNCT
ejpam-4774	38	18	in	in	ADP
ejpam-4774	38	19	contrast	contrast	NOUN
ejpam-4774	38	20	to	to	ADP
ejpam-4774	38	21	other	other	ADJ
ejpam-4774	38	22	well	well	ADV
ejpam-4774	38	23	-	-	PUNCT
ejpam-4774	38	24	known	know	VERB
ejpam-4774	38	25	methods	method	NOUN
ejpam-4774	38	26	[	[	X
ejpam-4774	38	27	4	4	NUM
ejpam-4774	38	28	,	,	PUNCT
ejpam-4774	38	29	7	7	NUM
ejpam-4774	38	30	,	,	PUNCT
ejpam-4774	38	31	8	8	NUM
ejpam-4774	38	32	]	]	PUNCT
ejpam-4774	38	33	.	.	PUNCT
ejpam-4774	39	1	the	the	DET
ejpam-4774	39	2	exact	exact	ADJ
ejpam-4774	39	3	solution	solution	NOUN
ejpam-4774	39	4	is	be	AUX
ejpam-4774	39	5	quick	quick	ADJ
ejpam-4774	39	6	convergent	convergent	NOUN
ejpam-4774	39	7	a.	a.	NOUN
ejpam-4774	39	8	qazza	qazza	PROPN
ejpam-4774	39	9	et	et	PROPN
ejpam-4774	39	10	al	al	PROPN
ejpam-4774	39	11	.	.	PUNCT
ejpam-4774	39	12	/	/	SYM
ejpam-4774	39	13	eur	eur	PROPN
ejpam-4774	39	14	.	.	PUNCT
ejpam-4774	40	1	j.	j.	PROPN
ejpam-4774	40	2	pure	pure	PROPN
ejpam-4774	40	3	appl	appl	PROPN
ejpam-4774	40	4	.	.	PROPN
ejpam-4774	40	5	math	math	PROPN
ejpam-4774	40	6	,	,	PUNCT
ejpam-4774	40	7	16	16	NUM
ejpam-4774	40	8	(	(	PUNCT
ejpam-4774	40	9	2	2	NUM
ejpam-4774	40	10	)	)	PUNCT
ejpam-4774	40	11	(	(	PUNCT
ejpam-4774	40	12	2023	2023	NUM
ejpam-4774	40	13	)	)	PUNCT
ejpam-4774	40	14	,	,	PUNCT
ejpam-4774	40	15	1274	1274	NUM
ejpam-4774	40	16	-	-	SYM
ejpam-4774	40	17	1289	1289	NUM
ejpam-4774	40	18	1276	1276	NUM
ejpam-4774	40	19	without	without	ADP
ejpam-4774	40	20	making	make	VERB
ejpam-4774	40	21	any	any	DET
ejpam-4774	40	22	constrictive	constrictive	ADJ
ejpam-4774	40	23	assumptions	assumption	NOUN
ejpam-4774	40	24	on	on	ADP
ejpam-4774	40	25	the	the	DET
ejpam-4774	40	26	solution	solution	NOUN
ejpam-4774	40	27	.	.	PUNCT
ejpam-4774	41	1	in	in	ADP
ejpam-4774	41	2	this	this	DET
ejpam-4774	41	3	paper	paper	NOUN
ejpam-4774	41	4	,	,	PUNCT
ejpam-4774	41	5	we	we	PRON
ejpam-4774	41	6	introduce	introduce	VERB
ejpam-4774	41	7	the	the	DET
ejpam-4774	41	8	main	main	ADJ
ejpam-4774	41	9	properties	property	NOUN
ejpam-4774	41	10	of	of	ADP
ejpam-4774	41	11	dara	dara	PROPN
ejpam-4774	41	12	-	-	PUNCT
ejpam-4774	41	13	st	st	PROPN
ejpam-4774	41	14	and	and	CCONJ
ejpam-4774	41	15	some	some	DET
ejpam-4774	41	16	results	result	NOUN
ejpam-4774	41	17	related	relate	VERB
ejpam-4774	41	18	to	to	ADP
ejpam-4774	41	19	partial	partial	ADJ
ejpam-4774	41	20	derivatives	derivative	NOUN
ejpam-4774	41	21	,	,	PUNCT
ejpam-4774	41	22	then	then	ADV
ejpam-4774	41	23	the	the	DET
ejpam-4774	41	24	main	main	ADJ
ejpam-4774	41	25	idea	idea	NOUN
ejpam-4774	41	26	of	of	ADP
ejpam-4774	41	27	idara	idara	NOUN
ejpam-4774	41	28	-	-	PUNCT
ejpam-4774	41	29	st	st	PROPN
ejpam-4774	41	30	approach	approach	NOUN
ejpam-4774	41	31	,	,	PUNCT
ejpam-4774	41	32	and	and	CCONJ
ejpam-4774	41	33	finally	finally	ADV
ejpam-4774	41	34	we	we	PRON
ejpam-4774	41	35	present	present	VERB
ejpam-4774	41	36	some	some	DET
ejpam-4774	41	37	numerical	numerical	ADJ
ejpam-4774	41	38	applications	application	NOUN
ejpam-4774	41	39	.	.	PUNCT
ejpam-4774	42	1	2	2	X
ejpam-4774	42	2	.	.	X
ejpam-4774	42	3	basic	basic	ADJ
ejpam-4774	42	4	definitions	definition	NOUN
ejpam-4774	42	5	and	and	CCONJ
ejpam-4774	42	6	theorems	theorem	NOUN
ejpam-4774	42	7	in	in	ADP
ejpam-4774	42	8	this	this	DET
ejpam-4774	42	9	section	section	NOUN
ejpam-4774	42	10	we	we	PRON
ejpam-4774	42	11	introduce	introduce	VERB
ejpam-4774	42	12	the	the	DET
ejpam-4774	42	13	definitions	definition	NOUN
ejpam-4774	42	14	of	of	ADP
ejpam-4774	42	15	the	the	DET
ejpam-4774	42	16	dara	dara	PROPN
ejpam-4774	42	17	-	-	PUNCT
ejpam-4774	42	18	st	st	PROPN
ejpam-4774	42	19	with	with	ADP
ejpam-4774	42	20	some	some	DET
ejpam-4774	42	21	properties	property	NOUN
ejpam-4774	42	22	that	that	PRON
ejpam-4774	42	23	are	be	AUX
ejpam-4774	42	24	essential	essential	ADJ
ejpam-4774	42	25	to	to	PART
ejpam-4774	42	26	construct	construct	VERB
ejpam-4774	42	27	solution	solution	NOUN
ejpam-4774	42	28	formula	formula	NOUN
ejpam-4774	42	29	for	for	ADP
ejpam-4774	42	30	some	some	DET
ejpam-4774	42	31	family	family	NOUN
ejpam-4774	42	32	of	of	ADP
ejpam-4774	42	33	nonlinear	nonlinear	ADJ
ejpam-4774	42	34	partial	partial	ADJ
ejpam-4774	42	35	differential	differential	NOUN
ejpam-4774	42	36	equations	equation	NOUN
ejpam-4774	42	37	.	.	PUNCT
ejpam-4774	43	1	definition	definition	NOUN
ejpam-4774	43	2	1	1	NUM
ejpam-4774	43	3	.	.	PUNCT
ejpam-4774	44	1	let	let	VERB
ejpam-4774	44	2	ϕ	ϕ	NOUN
ejpam-4774	44	3	(	(	PUNCT
ejpam-4774	44	4	x	x	PROPN
ejpam-4774	44	5	,	,	PUNCT
ejpam-4774	44	6	t	t	PROPN
ejpam-4774	44	7	)	)	PUNCT
ejpam-4774	44	8	be	be	AUX
ejpam-4774	44	9	a	a	DET
ejpam-4774	44	10	continuous	continuous	ADJ
ejpam-4774	44	11	function	function	NOUN
ejpam-4774	44	12	of	of	ADP
ejpam-4774	44	13	two	two	NUM
ejpam-4774	44	14	variables	variable	NOUN
ejpam-4774	44	15	x	x	PUNCT
ejpam-4774	44	16	>	>	PUNCT
ejpam-4774	44	17	0	0	PUNCT
ejpam-4774	44	18	and	and	CCONJ
ejpam-4774	44	19	t	t	X
ejpam-4774	44	20	>	>	X
ejpam-4774	44	21	0	0	X
ejpam-4774	44	22	.	.	PUNCT
ejpam-4774	45	1	the	the	DET
ejpam-4774	45	2	dara	dara	PROPN
ejpam-4774	45	3	-	-	PUNCT
ejpam-4774	45	4	st	st	PROPN
ejpam-4774	45	5	of	of	ADP
ejpam-4774	45	6	ϕ	ϕ	PROPN
ejpam-4774	45	7	(	(	PUNCT
ejpam-4774	45	8	x	x	PROPN
ejpam-4774	45	9	,	,	PUNCT
ejpam-4774	45	10	t	t	PROPN
ejpam-4774	45	11	)	)	PUNCT
ejpam-4774	45	12	which	which	PRON
ejpam-4774	45	13	is	be	AUX
ejpam-4774	45	14	a	a	DET
ejpam-4774	45	15	combination	combination	NOUN
ejpam-4774	45	16	between	between	ADP
ejpam-4774	45	17	arat	arat	NOUN
ejpam-4774	45	18	of	of	ADP
ejpam-4774	45	19	order	order	NOUN
ejpam-4774	45	20	one	one	NUM
ejpam-4774	45	21	and	and	CCONJ
ejpam-4774	45	22	the	the	DET
ejpam-4774	45	23	st	st	PROPN
ejpam-4774	45	24	is	be	AUX
ejpam-4774	45	25	given	give	VERB
ejpam-4774	45	26	by	by	ADP
ejpam-4774	45	27	gxst	gxst	NOUN
ejpam-4774	46	1	[	[	X
ejpam-4774	46	2	ϕ	ϕ	X
ejpam-4774	46	3	(	(	PUNCT
ejpam-4774	46	4	x	x	PROPN
ejpam-4774	46	5	,	,	PUNCT
ejpam-4774	46	6	t	t	PROPN
ejpam-4774	46	7	)	)	PUNCT
ejpam-4774	46	8	]	]	PUNCT
ejpam-4774	47	1	=	=	SYM
ejpam-4774	47	2	φ	φ	X
ejpam-4774	47	3	(	(	PUNCT
ejpam-4774	47	4	s	s	PROPN
ejpam-4774	47	5	,	,	PUNCT
ejpam-4774	47	6	u	u	NOUN
ejpam-4774	47	7	)	)	PUNCT
ejpam-4774	47	8	=	=	SYM
ejpam-4774	47	9	s	s	PART
ejpam-4774	47	10	u	u	NOUN
ejpam-4774	47	11	∫	∫	PROPN
ejpam-4774	47	12	∞	∞	PROPN
ejpam-4774	47	13	0	0	NUM
ejpam-4774	47	14	∫	∫	PROPN
ejpam-4774	47	15	∞	∞	NOUN
ejpam-4774	47	16	0	0	NUM
ejpam-4774	48	1	e−sx−	e−sx−	PROPN
ejpam-4774	48	2	t	t	PROPN
ejpam-4774	48	3	uϕ	uϕ	PROPN
ejpam-4774	48	4	(	(	PUNCT
ejpam-4774	48	5	x	x	PROPN
ejpam-4774	48	6	,	,	PUNCT
ejpam-4774	48	7	t	t	PROPN
ejpam-4774	48	8	)	)	PUNCT
ejpam-4774	48	9	dxdt	dxdt	NOUN
ejpam-4774	48	10	,	,	PUNCT
ejpam-4774	48	11	s	s	PART
ejpam-4774	48	12	>	>	X
ejpam-4774	48	13	0	0	PROPN
ejpam-4774	48	14	,	,	PUNCT
ejpam-4774	48	15	u	u	NOUN
ejpam-4774	48	16	>	>	X
ejpam-4774	48	17	0	0	NUM
ejpam-4774	48	18	,	,	PUNCT
ejpam-4774	48	19	(	(	PUNCT
ejpam-4774	48	20	1	1	X
ejpam-4774	48	21	)	)	PUNCT
ejpam-4774	48	22	provided	provide	VERB
ejpam-4774	48	23	the	the	DET
ejpam-4774	48	24	integral	integral	ADJ
ejpam-4774	48	25	exists	exist	NOUN
ejpam-4774	48	26	.	.	PUNCT
ejpam-4774	49	1	it	it	PRON
ejpam-4774	49	2	is	be	AUX
ejpam-4774	49	3	clear	clear	ADJ
ejpam-4774	49	4	that	that	SCONJ
ejpam-4774	49	5	,	,	PUNCT
ejpam-4774	49	6	the	the	DET
ejpam-4774	49	7	dara	dara	PROPN
ejpam-4774	49	8	-	-	PUNCT
ejpam-4774	49	9	st	st	PROPN
ejpam-4774	49	10	is	be	AUX
ejpam-4774	49	11	linear	linear	ADJ
ejpam-4774	49	12	,	,	PUNCT
ejpam-4774	49	13	since	since	SCONJ
ejpam-4774	49	14	gxst	gxst	PROPN
ejpam-4774	49	15	[	[	X
ejpam-4774	49	16	a	a	DET
ejpam-4774	49	17	ϕ	ϕ	X
ejpam-4774	49	18	(	(	PUNCT
ejpam-4774	49	19	x	x	PROPN
ejpam-4774	49	20	,	,	PUNCT
ejpam-4774	49	21	t	t	PROPN
ejpam-4774	49	22	)	)	PUNCT
ejpam-4774	50	1	+	+	NOUN
ejpam-4774	50	2	b	b	X
ejpam-4774	50	3	ψ	ψ	X
ejpam-4774	50	4	(	(	PUNCT
ejpam-4774	50	5	x	x	PROPN
ejpam-4774	50	6	,	,	PUNCT
ejpam-4774	50	7	t	t	PROPN
ejpam-4774	50	8	)	)	PUNCT
ejpam-4774	50	9	]	]	PUNCT
ejpam-4774	51	1	=	=	PUNCT
ejpam-4774	51	2	a	a	DET
ejpam-4774	51	3	gxst	gxst	NOUN
ejpam-4774	51	4	[	[	PUNCT
ejpam-4774	51	5	ϕ	ϕ	X
ejpam-4774	51	6	(	(	PUNCT
ejpam-4774	51	7	x	x	PROPN
ejpam-4774	51	8	,	,	PUNCT
ejpam-4774	51	9	t	t	PROPN
ejpam-4774	51	10	)	)	PUNCT
ejpam-4774	51	11	]	]	PUNCT
ejpam-4774	52	1	+	+	PUNCT
ejpam-4774	52	2	b	b	X
ejpam-4774	52	3	gxst	gxst	X
ejpam-4774	52	4	[	[	PUNCT
ejpam-4774	52	5	ψ	ψ	X
ejpam-4774	52	6	(	(	PUNCT
ejpam-4774	52	7	x	x	PROPN
ejpam-4774	52	8	,	,	PUNCT
ejpam-4774	52	9	t	t	PROPN
ejpam-4774	52	10	)	)	PUNCT
ejpam-4774	52	11	]	]	PUNCT
ejpam-4774	52	12	,	,	PUNCT
ejpam-4774	52	13	(	(	PUNCT
ejpam-4774	52	14	2	2	X
ejpam-4774	52	15	)	)	PUNCT
ejpam-4774	52	16	where	where	SCONJ
ejpam-4774	52	17	a	a	PRON
ejpam-4774	52	18	and	and	CCONJ
ejpam-4774	52	19	b	b	NOUN
ejpam-4774	52	20	are	be	AUX
ejpam-4774	52	21	constants	constant	NOUN
ejpam-4774	52	22	.	.	PUNCT
ejpam-4774	52	23	definition	definition	NOUN
ejpam-4774	52	24	2	2	NUM
ejpam-4774	52	25	.	.	PUNCT
ejpam-4774	53	1	the	the	DET
ejpam-4774	53	2	inverse	inverse	NOUN
ejpam-4774	53	3	dara	dara	PROPN
ejpam-4774	53	4	-	-	PUNCT
ejpam-4774	53	5	st	st	PROPN
ejpam-4774	53	6	is	be	AUX
ejpam-4774	53	7	given	give	VERB
ejpam-4774	53	8	by	by	ADP
ejpam-4774	53	9	g−1	g−1	PROPN
ejpam-4774	53	10	x	x	PROPN
ejpam-4774	53	11	s−1	s−1	PROPN
ejpam-4774	53	12	t	t	PROPN
ejpam-4774	54	1	[	[	X
ejpam-4774	54	2	φ	φ	X
ejpam-4774	54	3	(	(	PUNCT
ejpam-4774	54	4	s	s	PROPN
ejpam-4774	54	5	,	,	PUNCT
ejpam-4774	54	6	u	u	NOUN
ejpam-4774	54	7	)	)	PUNCT
ejpam-4774	54	8	]	]	PUNCT
ejpam-4774	54	9	=	=	SYM
ejpam-4774	54	10	ϕ	ϕ	X
ejpam-4774	54	11	(	(	PUNCT
ejpam-4774	54	12	x	x	PROPN
ejpam-4774	54	13	,	,	PUNCT
ejpam-4774	54	14	t	t	PROPN
ejpam-4774	54	15	)	)	PUNCT
ejpam-4774	54	16	=	=	SYM
ejpam-4774	54	17	1	1	NUM
ejpam-4774	54	18	2πi	2πi	ADJ
ejpam-4774	54	19	∫	∫	PROPN
ejpam-4774	54	20	c+i∞	c+i∞	PROPN
ejpam-4774	54	21	c−i∞	c−i∞	PROPN
ejpam-4774	54	22	esx	esx	PROPN
ejpam-4774	54	23	s	s	PROPN
ejpam-4774	54	24	ds	ds	ADJ
ejpam-4774	54	25	1	1	NUM
ejpam-4774	54	26	2πi	2πi	NOUN
ejpam-4774	54	27	∫	∫	PROPN
ejpam-4774	54	28	w+i∞	w+i∞	PROPN
ejpam-4774	54	29	w−i∞	w−i∞	PROPN
ejpam-4774	55	1	e	e	X
ejpam-4774	55	2	t	t	X
ejpam-4774	55	3	u	u	X
ejpam-4774	55	4	u	u	PROPN
ejpam-4774	55	5	φ	φ	X
ejpam-4774	55	6	(	(	PUNCT
ejpam-4774	55	7	s	s	PROPN
ejpam-4774	55	8	,	,	PUNCT
ejpam-4774	55	9	u	u	NOUN
ejpam-4774	55	10	)	)	PUNCT
ejpam-4774	55	11	du	du	PROPN
ejpam-4774	55	12	.	.	X
ejpam-4774	55	13	(	(	PUNCT
ejpam-4774	55	14	3	3	X
ejpam-4774	55	15	)	)	PUNCT
ejpam-4774	55	16	the	the	DET
ejpam-4774	55	17	dara	dara	PROPN
ejpam-4774	55	18	-	-	PUNCT
ejpam-4774	55	19	st	st	PROPN
ejpam-4774	55	20	for	for	ADP
ejpam-4774	55	21	some	some	DET
ejpam-4774	55	22	functions	function	NOUN
ejpam-4774	55	23	of	of	ADP
ejpam-4774	55	24	two	two	NUM
ejpam-4774	55	25	variables	variable	NOUN
ejpam-4774	55	26	are	be	AUX
ejpam-4774	55	27	introduced	introduce	VERB
ejpam-4774	55	28	in	in	ADP
ejpam-4774	55	29	table	table	NOUN
ejpam-4774	55	30	1	1	NUM
ejpam-4774	55	31	.	.	PUNCT
ejpam-4774	55	32	table	table	NOUN
ejpam-4774	55	33	1	1	NUM
ejpam-4774	55	34	:	:	PUNCT
ejpam-4774	55	35	dara	dara	PROPN
ejpam-4774	55	36	-	-	PUNCT
ejpam-4774	55	37	st	st	PROPN
ejpam-4774	55	38	for	for	ADP
ejpam-4774	55	39	some	some	DET
ejpam-4774	55	40	functions	function	NOUN
ejpam-4774	55	41	[	[	X
ejpam-4774	55	42	10	10	NUM
ejpam-4774	55	43	]	]	PUNCT
ejpam-4774	55	44	.	.	PUNCT
ejpam-4774	56	1	ϕ	ϕ	PROPN
ejpam-4774	56	2	(	(	PUNCT
ejpam-4774	56	3	x	x	PROPN
ejpam-4774	56	4	,	,	PUNCT
ejpam-4774	56	5	t	t	PROPN
ejpam-4774	56	6	)	)	PUNCT
ejpam-4774	56	7	gxst	gxst	NOUN
ejpam-4774	57	1	[	[	X
ejpam-4774	57	2	ϕ	ϕ	X
ejpam-4774	57	3	(	(	PUNCT
ejpam-4774	57	4	x	x	PROPN
ejpam-4774	57	5	,	,	PUNCT
ejpam-4774	57	6	t	t	PROPN
ejpam-4774	57	7	)	)	PUNCT
ejpam-4774	57	8	]	]	PUNCT
ejpam-4774	57	9	=	=	SYM
ejpam-4774	57	10	φ	φ	X
ejpam-4774	57	11	(	(	PUNCT
ejpam-4774	57	12	s	s	PROPN
ejpam-4774	57	13	,	,	PUNCT
ejpam-4774	57	14	u	u	NOUN
ejpam-4774	57	15	)	)	PUNCT
ejpam-4774	57	16	1	1	NUM
ejpam-4774	57	17	1	1	NUM
ejpam-4774	57	18	xatb	xatb	PROPN
ejpam-4774	57	19	s−aγ(a+	s−aγ(a+	NOUN
ejpam-4774	57	20	1)uγ(b+	1)uγ(b+	NOUN
ejpam-4774	57	21	1	1	NUM
ejpam-4774	57	22	)	)	PUNCT
ejpam-4774	57	23	eax+bt	eax+bt	PROPN
ejpam-4774	57	24	s	s	X
ejpam-4774	57	25	(	(	PUNCT
ejpam-4774	57	26	s−a)(1−bu	s−a)(1−bu	NOUN
ejpam-4774	57	27	)	)	PUNCT
ejpam-4774	57	28	ei(ax+bt	ei(ax+bt	NOUN
ejpam-4774	57	29	)	)	PUNCT
ejpam-4774	57	30	is	be	AUX
ejpam-4774	57	31	(	(	PUNCT
ejpam-4774	57	32	s−ia)(bu+i	s−ia)(bu+i	PROPN
ejpam-4774	57	33	)	)	PUNCT
ejpam-4774	57	34	sin	sin	NOUN
ejpam-4774	57	35	(	(	PUNCT
ejpam-4774	57	36	ax+	ax+	NOUN
ejpam-4774	57	37	bt	bt	ADJ
ejpam-4774	57	38	)	)	PUNCT
ejpam-4774	57	39	s(a+bsu	s(a+bsu	PROPN
ejpam-4774	57	40	)	)	PUNCT
ejpam-4774	57	41	(	(	PUNCT
ejpam-4774	57	42	a2+s2)(b2	a2+s2)(b2	NOUN
ejpam-4774	57	43	u2	u2	NOUN
ejpam-4774	57	44	+	+	NOUN
ejpam-4774	57	45	1	1	NUM
ejpam-4774	57	46	)	)	PUNCT
ejpam-4774	57	47	cos	cos	PROPN
ejpam-4774	57	48	(	(	PUNCT
ejpam-4774	57	49	ax+	ax+	ADJ
ejpam-4774	57	50	bt	bt	NOUN
ejpam-4774	57	51	)	)	PUNCT
ejpam-4774	57	52	s(s−abu	s(s−abu	NOUN
ejpam-4774	57	53	)	)	PUNCT
ejpam-4774	57	54	(	(	PUNCT
ejpam-4774	57	55	a2+s2)(b2u2	a2+s2)(b2u2	NOUN
ejpam-4774	57	56	+	+	ADJ
ejpam-4774	57	57	1	1	NUM
ejpam-4774	57	58	)	)	PUNCT
ejpam-4774	57	59	sinh	sinh	NOUN
ejpam-4774	57	60	(	(	PUNCT
ejpam-4774	57	61	ax+	ax+	NOUN
ejpam-4774	57	62	bt	bt	ADJ
ejpam-4774	57	63	)	)	PUNCT
ejpam-4774	57	64	s(a+bsu	s(a+bsu	PROPN
ejpam-4774	57	65	)	)	PUNCT
ejpam-4774	57	66	(	(	PUNCT
ejpam-4774	57	67	a2−s)(b2u2−1	a2−s)(b2u2−1	PROPN
ejpam-4774	57	68	)	)	PUNCT
ejpam-4774	57	69	cosh	cosh	NOUN
ejpam-4774	57	70	(	(	PUNCT
ejpam-4774	57	71	ax+	ax+	VERB
ejpam-4774	57	72	bt	bt	ADJ
ejpam-4774	57	73	)	)	PUNCT
ejpam-4774	57	74	s(s+abu	s(s+abu	PROPN
ejpam-4774	57	75	)	)	PUNCT
ejpam-4774	57	76	(	(	PUNCT
ejpam-4774	57	77	a2−s2)(b2u2−1	a2−s2)(b2u2−1	NOUN
ejpam-4774	57	78	)	)	PUNCT
ejpam-4774	57	79	j0	j0	PROPN
ejpam-4774	57	80	(	(	PUNCT
ejpam-4774	57	81	c	c	NOUN
ejpam-4774	57	82	√	√	PROPN
ejpam-4774	57	83	xt	xt	PROPN
ejpam-4774	57	84	)	)	PUNCT
ejpam-4774	57	85	,	,	PUNCT
ejpam-4774	57	86	j0	j0	PROPN
ejpam-4774	57	87	is	be	AUX
ejpam-4774	57	88	the	the	DET
ejpam-4774	57	89	zero	zero	NUM
ejpam-4774	57	90	order	order	NOUN
ejpam-4774	57	91	bessel	bessel	NOUN
ejpam-4774	57	92	function	function	VERB
ejpam-4774	57	93	4s	4s	NUM
ejpam-4774	57	94	4s+c2u	4s+c2u	NOUN
ejpam-4774	57	95	ϕ	ϕ	PROPN
ejpam-4774	57	96	(	(	PUNCT
ejpam-4774	57	97	x−	x−	PROPN
ejpam-4774	57	98	δ	δ	PROPN
ejpam-4774	57	99	,	,	PUNCT
ejpam-4774	57	100	t−	t−	PROPN
ejpam-4774	57	101	ϵ	ϵ	NOUN
ejpam-4774	57	102	)	)	PUNCT
ejpam-4774	57	103	h	h	NOUN
ejpam-4774	57	104	(	(	PUNCT
ejpam-4774	57	105	x−	x−	PROPN
ejpam-4774	57	106	δ	δ	PROPN
ejpam-4774	57	107	,	,	PUNCT
ejpam-4774	57	108	t−	t−	PROPN
ejpam-4774	57	109	ϵ	ϵ	NOUN
ejpam-4774	57	110	)	)	PUNCT
ejpam-4774	57	111	e	e	X
ejpam-4774	58	1	−sδ−	−sδ−	PROPN
ejpam-4774	58	2	ϵ	ϵ	X
ejpam-4774	58	3	yφ	yφ	PROPN
ejpam-4774	58	4	(	(	PUNCT
ejpam-4774	58	5	s	s	PROPN
ejpam-4774	58	6	,	,	PUNCT
ejpam-4774	58	7	u	u	NOUN
ejpam-4774	58	8	)	)	PUNCT
ejpam-4774	58	9	(	(	PUNCT
ejpam-4774	58	10	ϕ	ϕ	NOUN
ejpam-4774	58	11	∗	∗	X
ejpam-4774	58	12	∗ψ	∗ψ	PROPN
ejpam-4774	58	13	)	)	PUNCT
ejpam-4774	58	14	(	(	PUNCT
ejpam-4774	58	15	x	x	X
ejpam-4774	58	16	,	,	PUNCT
ejpam-4774	58	17	t	t	PROPN
ejpam-4774	58	18	)	)	PUNCT
ejpam-4774	58	19	(	(	PUNCT
ejpam-4774	58	20	u	u	NOUN
ejpam-4774	58	21	s	s	PART
ejpam-4774	58	22	)	)	PUNCT
ejpam-4774	58	23	φ	φ	PROPN
ejpam-4774	58	24	(	(	PUNCT
ejpam-4774	58	25	s	s	PROPN
ejpam-4774	58	26	,	,	PUNCT
ejpam-4774	58	27	u)ψ	u)ψ	X
ejpam-4774	58	28	(	(	PUNCT
ejpam-4774	58	29	s	s	X
ejpam-4774	58	30	,	,	PUNCT
ejpam-4774	58	31	u	u	NOUN
ejpam-4774	58	32	)	)	PUNCT
ejpam-4774	58	33	a.	a.	NOUN
ejpam-4774	58	34	qazza	qazza	PROPN
ejpam-4774	58	35	et	et	PROPN
ejpam-4774	58	36	al	al	PROPN
ejpam-4774	58	37	.	.	PUNCT
ejpam-4774	58	38	/	/	SYM
ejpam-4774	58	39	eur	eur	PROPN
ejpam-4774	58	40	.	.	PUNCT
ejpam-4774	59	1	j.	j.	PROPN
ejpam-4774	59	2	pure	pure	PROPN
ejpam-4774	59	3	appl	appl	PROPN
ejpam-4774	59	4	.	.	PROPN
ejpam-4774	59	5	math	math	PROPN
ejpam-4774	59	6	,	,	PUNCT
ejpam-4774	59	7	16	16	NUM
ejpam-4774	59	8	(	(	PUNCT
ejpam-4774	59	9	2	2	NUM
ejpam-4774	59	10	)	)	PUNCT
ejpam-4774	59	11	(	(	PUNCT
ejpam-4774	59	12	2023	2023	NUM
ejpam-4774	59	13	)	)	PUNCT
ejpam-4774	59	14	,	,	PUNCT
ejpam-4774	59	15	1274	1274	NUM
ejpam-4774	59	16	-	-	SYM
ejpam-4774	59	17	1289	1289	NUM
ejpam-4774	59	18	1277	1277	NUM
ejpam-4774	59	19	if	if	SCONJ
ejpam-4774	59	20	function	function	NOUN
ejpam-4774	59	21	ϕ	ϕ	X
ejpam-4774	59	22	(	(	PUNCT
ejpam-4774	59	23	x	x	PROPN
ejpam-4774	59	24	,	,	PUNCT
ejpam-4774	59	25	t	t	PROPN
ejpam-4774	59	26	)	)	PUNCT
ejpam-4774	59	27	is	be	AUX
ejpam-4774	59	28	of	of	ADP
ejpam-4774	59	29	exponential	exponential	ADJ
ejpam-4774	59	30	order	order	NOUN
ejpam-4774	59	31	c	c	NOUN
ejpam-4774	59	32	and	and	CCONJ
ejpam-4774	59	33	d	d	X
ejpam-4774	59	34	at	at	ADP
ejpam-4774	59	35	x	x	X
ejpam-4774	59	36	→	→	SYM
ejpam-4774	59	37	∞	∞	PROPN
ejpam-4774	59	38	and	and	CCONJ
ejpam-4774	59	39	t	t	PROPN
ejpam-4774	59	40	→	→	SYM
ejpam-4774	59	41	∞	∞	PROPN
ejpam-4774	59	42	,	,	PUNCT
ejpam-4774	59	43	then	then	ADV
ejpam-4774	59	44	there	there	PRON
ejpam-4774	59	45	exists	exist	VERB
ejpam-4774	59	46	a	a	DET
ejpam-4774	59	47	non	non	ADJ
ejpam-4774	59	48	negative	negative	ADJ
ejpam-4774	59	49	constant	constant	ADJ
ejpam-4774	60	1	k	k	ADP
ejpam-4774	60	2	such	such	ADJ
ejpam-4774	60	3	that	that	SCONJ
ejpam-4774	60	4	∀x	∀x	VERB
ejpam-4774	60	5	>	>	X
ejpam-4774	60	6	x	x	PUNCT
ejpam-4774	60	7	and	and	CCONJ
ejpam-4774	60	8	t	t	X
ejpam-4774	60	9	>	>	X
ejpam-4774	60	10	t	t	PROPN
ejpam-4774	60	11	;	;	PUNCT
ejpam-4774	60	12	we	we	PRON
ejpam-4774	60	13	have	have	VERB
ejpam-4774	60	14	the	the	DET
ejpam-4774	60	15	following	follow	VERB
ejpam-4774	60	16	|ϕ	|ϕ	X
ejpam-4774	60	17	(	(	PUNCT
ejpam-4774	60	18	x	x	X
ejpam-4774	60	19	,	,	PUNCT
ejpam-4774	60	20	t)|	t)|	ADJ
ejpam-4774	60	21	≤	≤	ADJ
ejpam-4774	60	22	kecx+dt	kecx+dt	NOUN
ejpam-4774	60	23	,	,	PUNCT
ejpam-4774	60	24	and	and	CCONJ
ejpam-4774	60	25	we	we	PRON
ejpam-4774	60	26	write	write	VERB
ejpam-4774	60	27	the	the	DET
ejpam-4774	60	28	following	follow	VERB
ejpam-4774	60	29	ϕ	ϕ	X
ejpam-4774	60	30	(	(	PUNCT
ejpam-4774	60	31	x	x	PROPN
ejpam-4774	60	32	,	,	PUNCT
ejpam-4774	60	33	t	t	PROPN
ejpam-4774	60	34	)	)	PUNCT
ejpam-4774	60	35	=	=	SYM
ejpam-4774	60	36	o	o	X
ejpam-4774	60	37	(	(	PUNCT
ejpam-4774	60	38	ecx+dt	ecx+dt	X
ejpam-4774	60	39	)	)	PUNCT
ejpam-4774	60	40	,	,	PUNCT
ejpam-4774	60	41	as	as	SCONJ
ejpam-4774	60	42	x	x	PROPN
ejpam-4774	60	43	and	and	CCONJ
ejpam-4774	60	44	t	t	PROPN
ejpam-4774	60	45	tend	tend	VERB
ejpam-4774	60	46	to	to	PART
ejpam-4774	60	47	infinity	infinity	VERB
ejpam-4774	60	48	or	or	CCONJ
ejpam-4774	60	49	the	the	DET
ejpam-4774	60	50	following	follow	VERB
ejpam-4774	60	51	is	be	AUX
ejpam-4774	60	52	obtained	obtain	VERB
ejpam-4774	60	53	.	.	PUNCT
ejpam-4774	61	1	lim	lim	PROPN
ejpam-4774	61	2	x→+∞	x→+∞	PROPN
ejpam-4774	61	3	,	,	PUNCT
ejpam-4774	61	4	t→+∞	t→+∞	PROPN
ejpam-4774	61	5	e−υx−	e−υx−	PROPN
ejpam-4774	61	6	t	t	PROPN
ejpam-4774	61	7	ω	ω	NUM
ejpam-4774	61	8	|ϕ	|ϕ	X
ejpam-4774	61	9	(	(	PUNCT
ejpam-4774	61	10	x	x	X
ejpam-4774	61	11	,	,	PUNCT
ejpam-4774	61	12	t)|	t)|	NOUN
ejpam-4774	61	13	=	=	SYM
ejpam-4774	61	14	k	k	PROPN
ejpam-4774	61	15	lim	lim	PROPN
ejpam-4774	61	16	x→+∞	x→+∞	PROPN
ejpam-4774	61	17	,	,	PUNCT
ejpam-4774	61	18	t→+∞	t→+∞	PROPN
ejpam-4774	61	19	e−(υ−c)x−	e−(υ−c)x−	NOUN
ejpam-4774	61	20	(	(	PUNCT
ejpam-4774	61	21	1	1	NUM
ejpam-4774	61	22	ω	ω	NUM
ejpam-4774	61	23	−d)t	−d)t	NOUN
ejpam-4774	61	24	=	=	SYM
ejpam-4774	61	25	0	0	NUM
ejpam-4774	61	26	,	,	PUNCT
ejpam-4774	61	27	v	v	ADP
ejpam-4774	61	28	>	>	X
ejpam-4774	61	29	c	c	X
ejpam-4774	61	30	,	,	PUNCT
ejpam-4774	61	31	1	1	NUM
ejpam-4774	61	32	w	w	PROPN
ejpam-4774	61	33	>	>	X
ejpam-4774	61	34	d.	d.	PROPN
ejpam-4774	61	35	then	then	ADV
ejpam-4774	61	36	,	,	PUNCT
ejpam-4774	61	37	ϕ	ϕ	PROPN
ejpam-4774	61	38	is	be	AUX
ejpam-4774	61	39	the	the	DET
ejpam-4774	61	40	exponential	exponential	ADJ
ejpam-4774	61	41	order	order	NOUN
ejpam-4774	61	42	as	as	SCONJ
ejpam-4774	61	43	x	x	PROPN
ejpam-4774	61	44	and	and	CCONJ
ejpam-4774	61	45	t	t	PROPN
ejpam-4774	61	46	tend	tend	VERB
ejpam-4774	61	47	to	to	PART
ejpam-4774	61	48	infinity	infinity	VERB
ejpam-4774	61	49	.	.	PUNCT
ejpam-4774	62	1	in	in	ADP
ejpam-4774	62	2	the	the	DET
ejpam-4774	62	3	following	following	NOUN
ejpam-4774	62	4	theorem	theorem	NOUN
ejpam-4774	62	5	,	,	PUNCT
ejpam-4774	62	6	we	we	PRON
ejpam-4774	62	7	introduce	introduce	VERB
ejpam-4774	62	8	the	the	DET
ejpam-4774	62	9	sufficient	sufficient	ADJ
ejpam-4774	62	10	condition	condition	NOUN
ejpam-4774	62	11	for	for	ADP
ejpam-4774	62	12	existence	existence	NOUN
ejpam-4774	62	13	of	of	ADP
ejpam-4774	62	14	dara	dara	PROPN
ejpam-4774	62	15	-	-	PUNCT
ejpam-4774	62	16	st	st	PROPN
ejpam-4774	62	17	.	.	PROPN
ejpam-4774	62	18	theorem	theorem	PROPN
ejpam-4774	62	19	1	1	X
ejpam-4774	62	20	.	.	PUNCT
ejpam-4774	63	1	let	let	VERB
ejpam-4774	63	2	ϕ	ϕ	NOUN
ejpam-4774	63	3	(	(	PUNCT
ejpam-4774	63	4	x	x	PROPN
ejpam-4774	63	5	,	,	PUNCT
ejpam-4774	63	6	t	t	PROPN
ejpam-4774	63	7	)	)	PUNCT
ejpam-4774	63	8	be	be	AUX
ejpam-4774	63	9	a	a	DET
ejpam-4774	63	10	continuous	continuous	ADJ
ejpam-4774	63	11	function	function	NOUN
ejpam-4774	63	12	on	on	ADP
ejpam-4774	63	13	the	the	DET
ejpam-4774	63	14	region	region	NOUN
ejpam-4774	64	1	[	[	X
ejpam-4774	64	2	0	0	NUM
ejpam-4774	64	3	,	,	PUNCT
ejpam-4774	64	4	x)×[0	x)×[0	PROPN
ejpam-4774	64	5	,	,	PUNCT
ejpam-4774	64	6	t	t	NOUN
ejpam-4774	64	7	)	)	PUNCT
ejpam-4774	64	8	.	.	PUNCT
ejpam-4774	65	1	if	if	SCONJ
ejpam-4774	65	2	ϕ	ϕ	X
ejpam-4774	65	3	(	(	PUNCT
ejpam-4774	65	4	x	x	PROPN
ejpam-4774	65	5	,	,	PUNCT
ejpam-4774	65	6	t	t	PROPN
ejpam-4774	65	7	)	)	PUNCT
ejpam-4774	65	8	is	be	AUX
ejpam-4774	65	9	exponential	exponential	ADJ
ejpam-4774	65	10	orders	order	NOUN
ejpam-4774	65	11	λ	λ	PROPN
ejpam-4774	65	12	and	and	CCONJ
ejpam-4774	65	13	γ	γ	X
ejpam-4774	65	14	,	,	PUNCT
ejpam-4774	65	15	then	then	ADV
ejpam-4774	65	16	dara	dara	PROPN
ejpam-4774	65	17	-	-	PUNCT
ejpam-4774	65	18	st	st	PROPN
ejpam-4774	65	19	of	of	ADP
ejpam-4774	65	20	ϕ	ϕ	PROPN
ejpam-4774	65	21	(	(	PUNCT
ejpam-4774	65	22	x	x	PROPN
ejpam-4774	65	23	,	,	PUNCT
ejpam-4774	65	24	t	t	NOUN
ejpam-4774	65	25	)	)	PUNCT
ejpam-4774	65	26	exists	exist	VERB
ejpam-4774	65	27	,	,	PUNCT
ejpam-4774	65	28	for	for	ADP
ejpam-4774	65	29	re	re	ADP
ejpam-4774	65	30	[	[	X
ejpam-4774	65	31	s	s	X
ejpam-4774	65	32	]	]	PUNCT
ejpam-4774	65	33	>	>	PUNCT
ejpam-4774	65	34	λ	λ	PROPN
ejpam-4774	65	35	and	and	CCONJ
ejpam-4774	65	36	re	re	ADP
ejpam-4774	65	37	[	[	PUNCT
ejpam-4774	65	38	1	1	NUM
ejpam-4774	65	39	u	u	NOUN
ejpam-4774	65	40	]	]	PUNCT
ejpam-4774	65	41	>	>	X
ejpam-4774	65	42	γ	γ	X
ejpam-4774	65	43	.	.	PROPN
ejpam-4774	65	44	in	in	ADP
ejpam-4774	65	45	the	the	DET
ejpam-4774	65	46	following	following	NOUN
ejpam-4774	65	47	theorem	theorem	NOUN
ejpam-4774	65	48	,	,	PUNCT
ejpam-4774	65	49	we	we	PRON
ejpam-4774	65	50	present	present	VERB
ejpam-4774	65	51	some	some	DET
ejpam-4774	65	52	derivatives	derivative	NOUN
ejpam-4774	65	53	properties	property	NOUN
ejpam-4774	65	54	of	of	ADP
ejpam-4774	65	55	dara	dara	PROPN
ejpam-4774	65	56	-	-	PUNCT
ejpam-4774	65	57	st	st	PROPN
ejpam-4774	65	58	.	.	PROPN
ejpam-4774	65	59	theorem	theorem	PROPN
ejpam-4774	65	60	2	2	NUM
ejpam-4774	65	61	.	.	PUNCT
ejpam-4774	66	1	[	[	X
ejpam-4774	66	2	18	18	NUM
ejpam-4774	66	3	]	]	PUNCT
ejpam-4774	66	4	.	.	PUNCT
ejpam-4774	67	1	(	(	PUNCT
ejpam-4774	67	2	derivative	derivative	ADJ
ejpam-4774	67	3	properties	property	NOUN
ejpam-4774	67	4	)	)	PUNCT
ejpam-4774	67	5	if	if	SCONJ
ejpam-4774	67	6	φ	φ	PROPN
ejpam-4774	67	7	(	(	PUNCT
ejpam-4774	67	8	s	s	PROPN
ejpam-4774	67	9	,	,	PUNCT
ejpam-4774	67	10	u	u	NOUN
ejpam-4774	67	11	)	)	PUNCT
ejpam-4774	67	12	=	=	SYM
ejpam-4774	67	13	gxst[ϕ	gxst[ϕ	NOUN
ejpam-4774	67	14	(	(	PUNCT
ejpam-4774	67	15	x	x	NOUN
ejpam-4774	67	16	,	,	PUNCT
ejpam-4774	67	17	t	t	PROPN
ejpam-4774	67	18	)	)	PUNCT
ejpam-4774	67	19	]	]	PUNCT
ejpam-4774	67	20	,	,	PUNCT
ejpam-4774	67	21	then	then	ADV
ejpam-4774	67	22	(	(	PUNCT
ejpam-4774	67	23	i	i	NOUN
ejpam-4774	67	24	)	)	PUNCT
ejpam-4774	67	25	gxst	gxst	NOUN
ejpam-4774	67	26	[	[	PUNCT
ejpam-4774	67	27	∂ϕ	∂ϕ	PROPN
ejpam-4774	67	28	(	(	PUNCT
ejpam-4774	67	29	x	x	PROPN
ejpam-4774	67	30	,	,	PUNCT
ejpam-4774	67	31	t	t	PROPN
ejpam-4774	67	32	)	)	PUNCT
ejpam-4774	67	33	∂x	∂x	NOUN
ejpam-4774	67	34	]	]	PUNCT
ejpam-4774	68	1	=	=	SYM
ejpam-4774	68	2	sφ	sφ	X
ejpam-4774	68	3	(	(	PUNCT
ejpam-4774	68	4	s	s	PROPN
ejpam-4774	68	5	,	,	PUNCT
ejpam-4774	68	6	u)−	u)−	PROPN
ejpam-4774	68	7	sst	sst	PROPN
ejpam-4774	69	1	[	[	X
ejpam-4774	69	2	ϕ	ϕ	X
ejpam-4774	69	3	(	(	PUNCT
ejpam-4774	69	4	0	0	NUM
ejpam-4774	69	5	,	,	PUNCT
ejpam-4774	69	6	t	t	PROPN
ejpam-4774	69	7	)	)	PUNCT
ejpam-4774	69	8	]	]	PUNCT
ejpam-4774	69	9	.	.	PUNCT
ejpam-4774	70	1	(	(	PUNCT
ejpam-4774	70	2	ii	ii	NOUN
ejpam-4774	70	3	)	)	PUNCT
ejpam-4774	70	4	gxst	gxst	NOUN
ejpam-4774	70	5	[	[	PUNCT
ejpam-4774	70	6	∂ϕ	∂ϕ	PROPN
ejpam-4774	70	7	(	(	PUNCT
ejpam-4774	70	8	x	x	PROPN
ejpam-4774	70	9	,	,	PUNCT
ejpam-4774	70	10	t	t	PROPN
ejpam-4774	70	11	)	)	PUNCT
ejpam-4774	70	12	∂t	∂t	PROPN
ejpam-4774	70	13	]	]	PUNCT
ejpam-4774	71	1	=	=	SYM
ejpam-4774	71	2	1	1	NUM
ejpam-4774	71	3	u	u	NOUN
ejpam-4774	71	4	φ	φ	X
ejpam-4774	71	5	(	(	PUNCT
ejpam-4774	71	6	s	s	PROPN
ejpam-4774	71	7	,	,	PUNCT
ejpam-4774	71	8	u)−	u)−	PROPN
ejpam-4774	71	9	1	1	NUM
ejpam-4774	71	10	u	u	NOUN
ejpam-4774	71	11	gx	gx	PROPN
ejpam-4774	72	1	[	[	X
ejpam-4774	72	2	ϕ	ϕ	X
ejpam-4774	72	3	(	(	PUNCT
ejpam-4774	72	4	x	x	X
ejpam-4774	72	5	,	,	PUNCT
ejpam-4774	72	6	0	0	NUM
ejpam-4774	72	7	)	)	PUNCT
ejpam-4774	72	8	]	]	PUNCT
ejpam-4774	72	9	.	.	PUNCT
ejpam-4774	73	1	(	(	PUNCT
ejpam-4774	73	2	iii	iii	X
ejpam-4774	73	3	)	)	PUNCT
ejpam-4774	73	4	gxst	gxst	NOUN
ejpam-4774	73	5	[	[	PUNCT
ejpam-4774	73	6	∂2ϕ	∂2ϕ	NOUN
ejpam-4774	73	7	(	(	PUNCT
ejpam-4774	73	8	x	x	NOUN
ejpam-4774	73	9	,	,	PUNCT
ejpam-4774	73	10	t	t	PROPN
ejpam-4774	73	11	)	)	PUNCT
ejpam-4774	73	12	∂x2	∂x2	NOUN
ejpam-4774	73	13	]	]	PUNCT
ejpam-4774	73	14	=	=	SYM
ejpam-4774	73	15	s2φ	s2φ	X
ejpam-4774	73	16	(	(	PUNCT
ejpam-4774	73	17	s	s	X
ejpam-4774	73	18	,	,	PUNCT
ejpam-4774	73	19	u)−	u)−	PROPN
ejpam-4774	73	20	s2st	s2st	PUNCT
ejpam-4774	74	1	[	[	X
ejpam-4774	74	2	ϕ	ϕ	X
ejpam-4774	74	3	(	(	PUNCT
ejpam-4774	74	4	0	0	NUM
ejpam-4774	74	5	,	,	PUNCT
ejpam-4774	74	6	t)]−	t)]−	PRON
ejpam-4774	74	7	sst	sst	PROPN
ejpam-4774	74	8	[	[	X
ejpam-4774	74	9	ϕx	ϕx	INTJ
ejpam-4774	74	10	(	(	PUNCT
ejpam-4774	74	11	0	0	NUM
ejpam-4774	74	12	,	,	PUNCT
ejpam-4774	74	13	t	t	PROPN
ejpam-4774	74	14	)	)	PUNCT
ejpam-4774	74	15	]	]	PUNCT
ejpam-4774	74	16	.	.	PUNCT
ejpam-4774	75	1	(	(	PUNCT
ejpam-4774	75	2	iv	iv	X
ejpam-4774	75	3	)	)	PUNCT
ejpam-4774	75	4	gxst	gxst	NOUN
ejpam-4774	75	5	[	[	PUNCT
ejpam-4774	75	6	∂2ϕ	∂2ϕ	NOUN
ejpam-4774	75	7	(	(	PUNCT
ejpam-4774	75	8	x	x	NOUN
ejpam-4774	75	9	,	,	PUNCT
ejpam-4774	75	10	t	t	PROPN
ejpam-4774	75	11	)	)	PUNCT
ejpam-4774	75	12	∂t2	∂t2	NOUN
ejpam-4774	75	13	]	]	PUNCT
ejpam-4774	75	14	=	=	SYM
ejpam-4774	75	15	1	1	NUM
ejpam-4774	75	16	u	u	NOUN
ejpam-4774	75	17	φ	φ	X
ejpam-4774	75	18	(	(	PUNCT
ejpam-4774	75	19	s	s	PROPN
ejpam-4774	75	20	,	,	PUNCT
ejpam-4774	75	21	u)−	u)−	PROPN
ejpam-4774	75	22	1	1	NUM
ejpam-4774	75	23	u2	u2	PROPN
ejpam-4774	75	24	gx	gx	PROPN
ejpam-4774	76	1	[	[	X
ejpam-4774	76	2	ϕ	ϕ	X
ejpam-4774	76	3	(	(	PUNCT
ejpam-4774	76	4	x	x	X
ejpam-4774	76	5	,	,	PUNCT
ejpam-4774	76	6	0)]−	0)]−	NUM
ejpam-4774	76	7	1	1	NUM
ejpam-4774	76	8	u	u	NOUN
ejpam-4774	76	9	gx	gx	PROPN
ejpam-4774	77	1	[	[	X
ejpam-4774	77	2	ϕt	ϕt	INTJ
ejpam-4774	77	3	(	(	PUNCT
ejpam-4774	77	4	x	x	X
ejpam-4774	77	5	,	,	PUNCT
ejpam-4774	77	6	0	0	NUM
ejpam-4774	77	7	)	)	PUNCT
ejpam-4774	77	8	]	]	PUNCT
ejpam-4774	77	9	.	.	PUNCT
ejpam-4774	78	1	(	(	PUNCT
ejpam-4774	78	2	v	v	NOUN
ejpam-4774	78	3	)	)	PUNCT
ejpam-4774	78	4	gxst	gxst	NOUN
ejpam-4774	78	5	[	[	PUNCT
ejpam-4774	78	6	∂2ϕ	∂2ϕ	NOUN
ejpam-4774	78	7	(	(	PUNCT
ejpam-4774	78	8	x	x	NOUN
ejpam-4774	78	9	,	,	PUNCT
ejpam-4774	78	10	t	t	PROPN
ejpam-4774	78	11	)	)	PUNCT
ejpam-4774	78	12	∂x∂t	∂x∂t	NOUN
ejpam-4774	78	13	]	]	PUNCT
ejpam-4774	79	1	=	=	PUNCT
ejpam-4774	79	2	s	s	X
ejpam-4774	79	3	u	u	NOUN
ejpam-4774	79	4	(	(	PUNCT
ejpam-4774	79	5	φ	φ	PROPN
ejpam-4774	79	6	(	(	PUNCT
ejpam-4774	79	7	s	s	PROPN
ejpam-4774	79	8	,	,	PUNCT
ejpam-4774	79	9	u)−	u)−	PROPN
ejpam-4774	79	10	st	st	PROPN
ejpam-4774	80	1	[	[	X
ejpam-4774	80	2	ϕ	ϕ	X
ejpam-4774	80	3	(	(	PUNCT
ejpam-4774	80	4	0	0	NUM
ejpam-4774	80	5	,	,	PUNCT
ejpam-4774	80	6	t)]−	t)]−	PRON
ejpam-4774	80	7	gx	gx	PROPN
ejpam-4774	81	1	[	[	X
ejpam-4774	81	2	ϕ	ϕ	X
ejpam-4774	81	3	(	(	PUNCT
ejpam-4774	81	4	x	x	X
ejpam-4774	81	5	,	,	PUNCT
ejpam-4774	81	6	0	0	NUM
ejpam-4774	81	7	)	)	PUNCT
ejpam-4774	81	8	]	]	PUNCT
ejpam-4774	81	9	+	+	CCONJ
ejpam-4774	81	10	ϕ(0	ϕ(0	PROPN
ejpam-4774	81	11	,	,	PUNCT
ejpam-4774	81	12	0	0	NUM
ejpam-4774	81	13	)	)	PUNCT
ejpam-4774	81	14	)	)	PUNCT
ejpam-4774	81	15	.	.	PUNCT
ejpam-4774	82	1	theorem	theorem	VERB
ejpam-4774	82	2	3	3	NUM
ejpam-4774	82	3	.	.	PUNCT
ejpam-4774	83	1	[	[	X
ejpam-4774	83	2	23	23	NUM
ejpam-4774	83	3	]	]	PUNCT
ejpam-4774	83	4	.	.	PUNCT
ejpam-4774	84	1	(	(	PUNCT
ejpam-4774	84	2	convolution	convolution	NOUN
ejpam-4774	84	3	theorem	theorem	VERB
ejpam-4774	84	4	)	)	PUNCT
ejpam-4774	84	5	if	if	SCONJ
ejpam-4774	84	6	gxst	gxst	PROPN
ejpam-4774	84	7	[	[	X
ejpam-4774	84	8	ϕ	ϕ	X
ejpam-4774	84	9	(	(	PUNCT
ejpam-4774	84	10	x	x	PROPN
ejpam-4774	84	11	,	,	PUNCT
ejpam-4774	84	12	t	t	PROPN
ejpam-4774	84	13	)	)	PUNCT
ejpam-4774	84	14	]	]	PUNCT
ejpam-4774	85	1	=	=	SYM
ejpam-4774	85	2	φ	φ	X
ejpam-4774	85	3	(	(	PUNCT
ejpam-4774	85	4	s	s	PROPN
ejpam-4774	85	5	,	,	PUNCT
ejpam-4774	85	6	u	u	NOUN
ejpam-4774	85	7	)	)	PUNCT
ejpam-4774	85	8	and	and	CCONJ
ejpam-4774	85	9	gxst	gxst	X
ejpam-4774	86	1	[	[	X
ejpam-4774	86	2	ψ	ψ	X
ejpam-4774	86	3	(	(	PUNCT
ejpam-4774	86	4	x	x	NOUN
ejpam-4774	86	5	,	,	PUNCT
ejpam-4774	86	6	t	t	PROPN
ejpam-4774	86	7	)	)	PUNCT
ejpam-4774	86	8	]	]	PUNCT
ejpam-4774	87	1	=	=	SYM
ejpam-4774	87	2	ψ	ψ	X
ejpam-4774	87	3	(	(	PUNCT
ejpam-4774	87	4	s	s	PROPN
ejpam-4774	87	5	,	,	PUNCT
ejpam-4774	87	6	u	u	NOUN
ejpam-4774	87	7	)	)	PUNCT
ejpam-4774	87	8	,	,	PUNCT
ejpam-4774	87	9	then	then	ADV
ejpam-4774	87	10	gxst	gxst	X
ejpam-4774	88	1	[	[	X
ejpam-4774	88	2	(	(	PUNCT
ejpam-4774	88	3	ϕ	ϕ	NOUN
ejpam-4774	88	4	∗	∗	X
ejpam-4774	88	5	∗ψ	∗ψ	PROPN
ejpam-4774	88	6	)	)	PUNCT
ejpam-4774	88	7	(	(	PUNCT
ejpam-4774	88	8	x	x	X
ejpam-4774	88	9	,	,	PUNCT
ejpam-4774	88	10	t	t	PROPN
ejpam-4774	88	11	)	)	PUNCT
ejpam-4774	88	12	]	]	PUNCT
ejpam-4774	89	1	=	=	PUNCT
ejpam-4774	90	1	(	(	PUNCT
ejpam-4774	90	2	u	u	NOUN
ejpam-4774	90	3	s	s	PART
ejpam-4774	90	4	)	)	PUNCT
ejpam-4774	90	5	φ	φ	PROPN
ejpam-4774	90	6	(	(	PUNCT
ejpam-4774	90	7	s	s	PROPN
ejpam-4774	90	8	,	,	PUNCT
ejpam-4774	90	9	u)ψ	u)ψ	X
ejpam-4774	90	10	(	(	PUNCT
ejpam-4774	90	11	s	s	X
ejpam-4774	90	12	,	,	PUNCT
ejpam-4774	90	13	u	u	NOUN
ejpam-4774	90	14	)	)	PUNCT
ejpam-4774	90	15	,	,	PUNCT
ejpam-4774	90	16	where	where	SCONJ
ejpam-4774	90	17	(	(	PUNCT
ejpam-4774	90	18	ϕ	ϕ	NOUN
ejpam-4774	90	19	∗	∗	X
ejpam-4774	90	20	∗ψ	∗ψ	PROPN
ejpam-4774	90	21	)	)	PUNCT
ejpam-4774	90	22	(	(	PUNCT
ejpam-4774	90	23	x	x	X
ejpam-4774	90	24	,	,	PUNCT
ejpam-4774	90	25	t	t	PROPN
ejpam-4774	90	26	)	)	PUNCT
ejpam-4774	90	27	=	=	SYM
ejpam-4774	91	1	∫	∫	PUNCT
ejpam-4774	91	2	x	x	SYM
ejpam-4774	91	3	0	0	NUM
ejpam-4774	91	4	∫	∫	PROPN
ejpam-4774	91	5	t	t	PROPN
ejpam-4774	91	6	0	0	NUM
ejpam-4774	92	1	ϕ	ϕ	PROPN
ejpam-4774	92	2	(	(	PUNCT
ejpam-4774	92	3	x−	x−	PROPN
ejpam-4774	92	4	δ	δ	PROPN
ejpam-4774	92	5	,	,	PUNCT
ejpam-4774	92	6	t−	t−	PROPN
ejpam-4774	92	7	ϵ)ψ	ϵ)ψ	X
ejpam-4774	92	8	(	(	PUNCT
ejpam-4774	92	9	δ	δ	PROPN
ejpam-4774	92	10	,	,	PUNCT
ejpam-4774	92	11	ϵ	ϵ	NOUN
ejpam-4774	92	12	)	)	PUNCT
ejpam-4774	92	13	dδdϵ.	dδdϵ.	NOUN
ejpam-4774	92	14	a.	a.	NOUN
ejpam-4774	92	15	qazza	qazza	PROPN
ejpam-4774	92	16	et	et	PROPN
ejpam-4774	92	17	al	al	PROPN
ejpam-4774	92	18	.	.	PUNCT
ejpam-4774	92	19	/	/	SYM
ejpam-4774	92	20	eur	eur	PROPN
ejpam-4774	92	21	.	.	PUNCT
ejpam-4774	93	1	j.	j.	PROPN
ejpam-4774	93	2	pure	pure	PROPN
ejpam-4774	93	3	appl	appl	PROPN
ejpam-4774	93	4	.	.	PROPN
ejpam-4774	93	5	math	math	PROPN
ejpam-4774	93	6	,	,	PUNCT
ejpam-4774	93	7	16	16	NUM
ejpam-4774	93	8	(	(	PUNCT
ejpam-4774	93	9	2	2	NUM
ejpam-4774	93	10	)	)	PUNCT
ejpam-4774	93	11	(	(	PUNCT
ejpam-4774	93	12	2023	2023	NUM
ejpam-4774	93	13	)	)	PUNCT
ejpam-4774	93	14	,	,	PUNCT
ejpam-4774	93	15	1274	1274	NUM
ejpam-4774	93	16	-	-	SYM
ejpam-4774	93	17	1289	1289	NUM
ejpam-4774	93	18	1278	1278	NUM
ejpam-4774	93	19	3	3	NUM
ejpam-4774	93	20	.	.	PUNCT
ejpam-4774	93	21	idea	idea	NOUN
ejpam-4774	93	22	of	of	ADP
ejpam-4774	93	23	idara	idara	NOUN
ejpam-4774	93	24	-	-	PUNCT
ejpam-4774	93	25	st	st	PROPN
ejpam-4774	93	26	method	method	NOUN
ejpam-4774	93	27	the	the	DET
ejpam-4774	93	28	basic	basic	ADJ
ejpam-4774	93	29	idea	idea	NOUN
ejpam-4774	93	30	of	of	ADP
ejpam-4774	93	31	the	the	DET
ejpam-4774	93	32	idara	idara	NOUN
ejpam-4774	93	33	-	-	PUNCT
ejpam-4774	93	34	st	st	PROPN
ejpam-4774	93	35	approach	approach	NOUN
ejpam-4774	93	36	,	,	PUNCT
ejpam-4774	93	37	is	be	AUX
ejpam-4774	93	38	mainly	mainly	ADV
ejpam-4774	93	39	based	base	VERB
ejpam-4774	93	40	on	on	ADP
ejpam-4774	93	41	taking	take	VERB
ejpam-4774	93	42	dara	dara	PROPN
ejpam-4774	93	43	-	-	PUNCT
ejpam-4774	93	44	st	st	PROPN
ejpam-4774	93	45	on	on	ADP
ejpam-4774	93	46	the	the	DET
ejpam-4774	93	47	target	target	NOUN
ejpam-4774	93	48	equation	equation	NOUN
ejpam-4774	93	49	and	and	CCONJ
ejpam-4774	93	50	simplify	simplify	VERB
ejpam-4774	93	51	the	the	DET
ejpam-4774	93	52	obtained	obtain	VERB
ejpam-4774	93	53	one	one	NUM
ejpam-4774	93	54	,	,	PUNCT
ejpam-4774	93	55	then	then	ADV
ejpam-4774	93	56	using	use	VERB
ejpam-4774	93	57	the	the	DET
ejpam-4774	93	58	iterative	iterative	NOUN
ejpam-4774	93	59	method	method	NOUN
ejpam-4774	93	60	,	,	PUNCT
ejpam-4774	93	61	we	we	PRON
ejpam-4774	93	62	get	get	VERB
ejpam-4774	93	63	our	our	PRON
ejpam-4774	93	64	analytical	analytical	ADJ
ejpam-4774	93	65	solution	solution	NOUN
ejpam-4774	93	66	.	.	PUNCT
ejpam-4774	94	1	in	in	ADP
ejpam-4774	94	2	this	this	DET
ejpam-4774	94	3	section	section	NOUN
ejpam-4774	94	4	we	we	PRON
ejpam-4774	94	5	apply	apply	VERB
ejpam-4774	94	6	idara	idara	NOUN
ejpam-4774	94	7	-	-	PUNCT
ejpam-4774	94	8	st	st	PROPN
ejpam-4774	94	9	method	method	NOUN
ejpam-4774	94	10	to	to	PART
ejpam-4774	94	11	solve	solve	VERB
ejpam-4774	94	12	the	the	DET
ejpam-4774	94	13	following	following	ADJ
ejpam-4774	94	14	problem	problem	NOUN
ejpam-4774	94	15	.	.	PUNCT
ejpam-4774	95	1	let	let	VERB
ejpam-4774	95	2	us	we	PRON
ejpam-4774	95	3	consider	consider	VERB
ejpam-4774	95	4	the	the	DET
ejpam-4774	95	5	following	follow	VERB
ejpam-4774	95	6	nonlinear	nonlinear	ADJ
ejpam-4774	95	7	partial	partial	ADJ
ejpam-4774	95	8	differential	differential	NOUN
ejpam-4774	95	9	equation	equation	NOUN
ejpam-4774	95	10	aϕxx	aϕxx	NOUN
ejpam-4774	95	11	(	(	PUNCT
ejpam-4774	95	12	x	x	X
ejpam-4774	95	13	,	,	PUNCT
ejpam-4774	95	14	t	t	PROPN
ejpam-4774	95	15	)	)	PUNCT
ejpam-4774	96	1	+	+	NOUN
ejpam-4774	96	2	bϕtt	bϕtt	ADJ
ejpam-4774	96	3	(	(	PUNCT
ejpam-4774	96	4	x	x	NOUN
ejpam-4774	96	5	,	,	PUNCT
ejpam-4774	96	6	t	t	PROPN
ejpam-4774	96	7	)	)	PUNCT
ejpam-4774	96	8	+	+	CCONJ
ejpam-4774	96	9	cϕx	cϕx	ADJ
ejpam-4774	96	10	(	(	PUNCT
ejpam-4774	96	11	x	x	NOUN
ejpam-4774	96	12	,	,	PUNCT
ejpam-4774	96	13	t	t	PROPN
ejpam-4774	96	14	)	)	PUNCT
ejpam-4774	96	15	+	+	NOUN
ejpam-4774	96	16	dϕt	dϕt	NOUN
ejpam-4774	96	17	(	(	PUNCT
ejpam-4774	96	18	x	x	NOUN
ejpam-4774	96	19	,	,	PUNCT
ejpam-4774	96	20	t	t	PROPN
ejpam-4774	96	21	)	)	PUNCT
ejpam-4774	96	22	+	+	NUM
ejpam-4774	96	23	eϕ	eϕ	PROPN
ejpam-4774	96	24	(	(	PUNCT
ejpam-4774	96	25	x	x	PROPN
ejpam-4774	96	26	,	,	PUNCT
ejpam-4774	96	27	t	t	PROPN
ejpam-4774	96	28	)	)	PUNCT
ejpam-4774	96	29	+	+	NOUN
ejpam-4774	96	30	n	n	PRON
ejpam-4774	96	31	[	[	X
ejpam-4774	96	32	ϕ	ϕ	X
ejpam-4774	96	33	(	(	PUNCT
ejpam-4774	96	34	x	x	PROPN
ejpam-4774	96	35	,	,	PUNCT
ejpam-4774	96	36	t	t	PROPN
ejpam-4774	96	37	)	)	PUNCT
ejpam-4774	96	38	]	]	PUNCT
ejpam-4774	96	39	=	=	SYM
ejpam-4774	96	40	u	u	SYM
ejpam-4774	96	41	(	(	PUNCT
ejpam-4774	96	42	x	x	PROPN
ejpam-4774	96	43	,	,	PUNCT
ejpam-4774	96	44	t	t	PROPN
ejpam-4774	96	45	)	)	PUNCT
ejpam-4774	96	46	,	,	PUNCT
ejpam-4774	96	47	(	(	PUNCT
ejpam-4774	96	48	4	4	X
ejpam-4774	96	49	)	)	PUNCT
ejpam-4774	96	50	where	where	SCONJ
ejpam-4774	96	51	(	(	PUNCT
ejpam-4774	96	52	x	x	NOUN
ejpam-4774	96	53	,	,	PUNCT
ejpam-4774	96	54	t	t	PROPN
ejpam-4774	96	55	)	)	PUNCT
ejpam-4774	96	56	∈	∈	PROPN
ejpam-4774	96	57	r+	r+	PUNCT
ejpam-4774	96	58	×	×	NOUN
ejpam-4774	96	59	r+	r+	NOUN
ejpam-4774	96	60	,	,	PUNCT
ejpam-4774	96	61	with	with	ADP
ejpam-4774	96	62	the	the	DET
ejpam-4774	96	63	conditions	condition	NOUN
ejpam-4774	96	64	ϕ	ϕ	X
ejpam-4774	96	65	(	(	PUNCT
ejpam-4774	96	66	x	x	X
ejpam-4774	96	67	,	,	PUNCT
ejpam-4774	96	68	0	0	NUM
ejpam-4774	96	69	)	)	PUNCT
ejpam-4774	96	70	=	=	X
ejpam-4774	96	71	h1	h1	ADJ
ejpam-4774	96	72	(	(	PUNCT
ejpam-4774	96	73	x	x	NOUN
ejpam-4774	96	74	)	)	PUNCT
ejpam-4774	96	75	,	,	PUNCT
ejpam-4774	96	76	ϕt	ϕt	INTJ
ejpam-4774	96	77	(	(	PUNCT
ejpam-4774	96	78	x	x	X
ejpam-4774	96	79	,	,	PUNCT
ejpam-4774	96	80	0	0	NUM
ejpam-4774	96	81	)	)	PUNCT
ejpam-4774	97	1	=	=	SYM
ejpam-4774	97	2	h2	h2	NOUN
ejpam-4774	97	3	(	(	PUNCT
ejpam-4774	97	4	x	x	NOUN
ejpam-4774	97	5	)	)	PUNCT
ejpam-4774	97	6	,	,	PUNCT
ejpam-4774	97	7	ϕ	ϕ	X
ejpam-4774	97	8	(	(	PUNCT
ejpam-4774	97	9	0	0	NUM
ejpam-4774	97	10	,	,	PUNCT
ejpam-4774	97	11	t	t	NOUN
ejpam-4774	97	12	)	)	PUNCT
ejpam-4774	97	13	=	=	PROPN
ejpam-4774	97	14	r1	r1	PROPN
ejpam-4774	97	15	(	(	PUNCT
ejpam-4774	97	16	t	t	PROPN
ejpam-4774	97	17	)	)	PUNCT
ejpam-4774	97	18	,	,	PUNCT
ejpam-4774	97	19	ϕx	ϕx	INTJ
ejpam-4774	97	20	(	(	PUNCT
ejpam-4774	97	21	0	0	NUM
ejpam-4774	97	22	,	,	PUNCT
ejpam-4774	97	23	t	t	NOUN
ejpam-4774	97	24	)	)	PUNCT
ejpam-4774	97	25	=	=	SYM
ejpam-4774	97	26	r2	r2	PROPN
ejpam-4774	97	27	(	(	PUNCT
ejpam-4774	97	28	t	t	PROPN
ejpam-4774	97	29	)	)	PUNCT
ejpam-4774	97	30	.	.	PUNCT
ejpam-4774	98	1	(	(	PUNCT
ejpam-4774	98	2	5	5	X
ejpam-4774	98	3	)	)	PUNCT
ejpam-4774	98	4	where	where	SCONJ
ejpam-4774	98	5	a	a	DET
ejpam-4774	98	6	,	,	PUNCT
ejpam-4774	98	7	b	b	NOUN
ejpam-4774	98	8	,	,	PUNCT
ejpam-4774	98	9	c	c	NOUN
ejpam-4774	98	10	,	,	PUNCT
ejpam-4774	98	11	d	d	NOUN
ejpam-4774	98	12	and	and	CCONJ
ejpam-4774	98	13	e	e	PROPN
ejpam-4774	98	14	are	be	AUX
ejpam-4774	98	15	constants	constant	NOUN
ejpam-4774	98	16	,	,	PUNCT
ejpam-4774	98	17	n	n	PRON
ejpam-4774	98	18	is	be	AUX
ejpam-4774	98	19	a	a	DET
ejpam-4774	98	20	nonlinear	nonlinear	ADJ
ejpam-4774	98	21	operator	operator	NOUN
ejpam-4774	98	22	and	and	CCONJ
ejpam-4774	98	23	u	u	NOUN
ejpam-4774	98	24	(	(	PUNCT
ejpam-4774	98	25	x	x	PROPN
ejpam-4774	98	26	,	,	PUNCT
ejpam-4774	98	27	t	t	PROPN
ejpam-4774	98	28	)	)	PUNCT
ejpam-4774	98	29	=	=	SYM
ejpam-4774	98	30	u1	u1	NOUN
ejpam-4774	98	31	(	(	PUNCT
ejpam-4774	98	32	x	x	NOUN
ejpam-4774	98	33	,	,	PUNCT
ejpam-4774	98	34	t	t	PROPN
ejpam-4774	98	35	)	)	PUNCT
ejpam-4774	98	36	+	+	CCONJ
ejpam-4774	98	37	u2	u2	PROPN
ejpam-4774	98	38	(	(	PUNCT
ejpam-4774	98	39	x	x	PROPN
ejpam-4774	98	40	,	,	PUNCT
ejpam-4774	98	41	t	t	PROPN
ejpam-4774	98	42	)	)	PUNCT
ejpam-4774	98	43	is	be	AUX
ejpam-4774	98	44	a	a	DET
ejpam-4774	98	45	source	source	NOUN
ejpam-4774	98	46	function	function	NOUN
ejpam-4774	98	47	.	.	PUNCT
ejpam-4774	99	1	to	to	PART
ejpam-4774	99	2	get	get	VERB
ejpam-4774	99	3	the	the	DET
ejpam-4774	99	4	solution	solution	NOUN
ejpam-4774	99	5	of	of	ADP
ejpam-4774	99	6	equation	equation	NOUN
ejpam-4774	99	7	(	(	PUNCT
ejpam-4774	99	8	4	4	X
ejpam-4774	99	9	)	)	PUNCT
ejpam-4774	99	10	an	an	DET
ejpam-4774	99	11	(	(	PUNCT
ejpam-4774	99	12	5	5	NUM
ejpam-4774	99	13	)	)	PUNCT
ejpam-4774	99	14	by	by	ADP
ejpam-4774	99	15	the	the	DET
ejpam-4774	99	16	proposed	propose	VERB
ejpam-4774	99	17	method	method	NOUN
ejpam-4774	99	18	,	,	PUNCT
ejpam-4774	99	19	we	we	PRON
ejpam-4774	99	20	firstly	firstly	ADV
ejpam-4774	99	21	,	,	PUNCT
ejpam-4774	99	22	apply	apply	VERB
ejpam-4774	99	23	dara	dara	PROPN
ejpam-4774	99	24	-	-	PUNCT
ejpam-4774	99	25	st	st	PROPN
ejpam-4774	99	26	to	to	PART
ejpam-4774	99	27	equation	equation	NOUN
ejpam-4774	99	28	(	(	PUNCT
ejpam-4774	99	29	4	4	NUM
ejpam-4774	99	30	)	)	PUNCT
ejpam-4774	99	31	to	to	PART
ejpam-4774	99	32	get	get	VERB
ejpam-4774	99	33	agxst	agxst	NOUN
ejpam-4774	99	34	[	[	X
ejpam-4774	99	35	ϕxx	ϕxx	X
ejpam-4774	99	36	(	(	PUNCT
ejpam-4774	99	37	x	x	NOUN
ejpam-4774	99	38	,	,	PUNCT
ejpam-4774	99	39	t	t	PROPN
ejpam-4774	99	40	)	)	PUNCT
ejpam-4774	99	41	]	]	PUNCT
ejpam-4774	100	1	+	+	PUNCT
ejpam-4774	100	2	bgxst	bgxst	X
ejpam-4774	100	3	[	[	X
ejpam-4774	100	4	ϕtt	ϕtt	INTJ
ejpam-4774	100	5	(	(	PUNCT
ejpam-4774	100	6	x	x	NOUN
ejpam-4774	100	7	,	,	PUNCT
ejpam-4774	100	8	t	t	PROPN
ejpam-4774	100	9	)	)	PUNCT
ejpam-4774	100	10	]	]	PUNCT
ejpam-4774	101	1	+	+	CCONJ
ejpam-4774	101	2	cgxst	cgxst	PROPN
ejpam-4774	102	1	[	[	X
ejpam-4774	102	2	ϕx	ϕx	INTJ
ejpam-4774	102	3	(	(	PUNCT
ejpam-4774	102	4	x	x	NOUN
ejpam-4774	102	5	,	,	PUNCT
ejpam-4774	102	6	t	t	PROPN
ejpam-4774	102	7	)	)	PUNCT
ejpam-4774	102	8	]	]	PUNCT
ejpam-4774	103	1	+	+	PUNCT
ejpam-4774	103	2	dgxst	dgxst	NOUN
ejpam-4774	103	3	[	[	X
ejpam-4774	103	4	ϕt	ϕt	INTJ
ejpam-4774	103	5	(	(	PUNCT
ejpam-4774	103	6	x	x	X
ejpam-4774	103	7	,	,	PUNCT
ejpam-4774	103	8	t	t	PROPN
ejpam-4774	103	9	)	)	PUNCT
ejpam-4774	103	10	]	]	PUNCT
ejpam-4774	104	1	+	+	CCONJ
ejpam-4774	104	2	egxst	egxst	NOUN
ejpam-4774	104	3	[	[	X
ejpam-4774	104	4	ϕ	ϕ	X
ejpam-4774	104	5	(	(	PUNCT
ejpam-4774	104	6	x	x	PROPN
ejpam-4774	104	7	,	,	PUNCT
ejpam-4774	104	8	t	t	PROPN
ejpam-4774	104	9	)	)	PUNCT
ejpam-4774	104	10	]	]	PUNCT
ejpam-4774	105	1	+	+	CCONJ
ejpam-4774	105	2	gxst	gxst	X
ejpam-4774	106	1	[	[	X
ejpam-4774	106	2	n	n	X
ejpam-4774	106	3	[	[	X
ejpam-4774	106	4	ϕ	ϕ	X
ejpam-4774	106	5	(	(	PUNCT
ejpam-4774	106	6	x	x	PROPN
ejpam-4774	106	7	,	,	PUNCT
ejpam-4774	106	8	t	t	PROPN
ejpam-4774	106	9	)	)	PUNCT
ejpam-4774	106	10	]	]	PUNCT
ejpam-4774	106	11	]	]	PUNCT
ejpam-4774	106	12	=	=	PUNCT
ejpam-4774	107	1	gxst	gxst	NOUN
ejpam-4774	108	1	[	[	X
ejpam-4774	108	2	u	u	X
ejpam-4774	108	3	(	(	PUNCT
ejpam-4774	108	4	x	x	PROPN
ejpam-4774	108	5	,	,	PUNCT
ejpam-4774	108	6	t	t	PROPN
ejpam-4774	108	7	)	)	PUNCT
ejpam-4774	108	8	]	]	PUNCT
ejpam-4774	108	9	.	.	PUNCT
ejpam-4774	109	1	(	(	PUNCT
ejpam-4774	109	2	6	6	X
ejpam-4774	109	3	)	)	PUNCT
ejpam-4774	109	4	the	the	DET
ejpam-4774	109	5	facts	fact	NOUN
ejpam-4774	109	6	in	in	ADP
ejpam-4774	109	7	theorem	theorem	NOUN
ejpam-4774	109	8	2	2	NUM
ejpam-4774	109	9	and	and	CCONJ
ejpam-4774	109	10	the	the	DET
ejpam-4774	109	11	linearity	linearity	NOUN
ejpam-4774	109	12	property	property	NOUN
ejpam-4774	109	13	imply	imply	VERB
ejpam-4774	109	14	that	that	SCONJ
ejpam-4774	109	15	a	a	DET
ejpam-4774	109	16	(	(	PUNCT
ejpam-4774	109	17	s2φ	s2φ	X
ejpam-4774	109	18	(	(	PUNCT
ejpam-4774	109	19	s	s	X
ejpam-4774	109	20	,	,	PUNCT
ejpam-4774	109	21	u)−	u)−	PROPN
ejpam-4774	109	22	s2st	s2st	PUNCT
ejpam-4774	110	1	[	[	X
ejpam-4774	110	2	ϕ	ϕ	X
ejpam-4774	110	3	(	(	PUNCT
ejpam-4774	110	4	0	0	NUM
ejpam-4774	110	5	,	,	PUNCT
ejpam-4774	110	6	t)]−	t)]−	PRON
ejpam-4774	110	7	sst	sst	PROPN
ejpam-4774	110	8	[	[	X
ejpam-4774	110	9	ϕx	ϕx	INTJ
ejpam-4774	110	10	(	(	PUNCT
ejpam-4774	110	11	0	0	NUM
ejpam-4774	110	12	,	,	PUNCT
ejpam-4774	110	13	t	t	PROPN
ejpam-4774	110	14	)	)	PUNCT
ejpam-4774	110	15	]	]	PUNCT
ejpam-4774	110	16	)	)	PUNCT
ejpam-4774	111	1	+	+	PUNCT
ejpam-4774	111	2	b	b	NOUN
ejpam-4774	111	3	(	(	PUNCT
ejpam-4774	111	4	1	1	NUM
ejpam-4774	111	5	u2	u2	PROPN
ejpam-4774	111	6	φ	φ	PROPN
ejpam-4774	111	7	(	(	PUNCT
ejpam-4774	111	8	s	s	PROPN
ejpam-4774	111	9	,	,	PUNCT
ejpam-4774	111	10	u)−	u)−	PROPN
ejpam-4774	111	11	1	1	NUM
ejpam-4774	111	12	u2	u2	PROPN
ejpam-4774	111	13	gx	gx	PROPN
ejpam-4774	112	1	[	[	X
ejpam-4774	112	2	ϕ	ϕ	X
ejpam-4774	112	3	(	(	PUNCT
ejpam-4774	112	4	x	x	X
ejpam-4774	112	5	,	,	PUNCT
ejpam-4774	112	6	0)]−	0)]−	NUM
ejpam-4774	112	7	1	1	NUM
ejpam-4774	112	8	u	u	NOUN
ejpam-4774	112	9	gx	gx	PROPN
ejpam-4774	113	1	[	[	X
ejpam-4774	113	2	ϕt	ϕt	INTJ
ejpam-4774	113	3	(	(	PUNCT
ejpam-4774	113	4	x	x	X
ejpam-4774	113	5	,	,	PUNCT
ejpam-4774	113	6	0	0	NUM
ejpam-4774	113	7	)	)	PUNCT
ejpam-4774	113	8	]	]	PUNCT
ejpam-4774	113	9	)	)	PUNCT
ejpam-4774	114	1	+	+	CCONJ
ejpam-4774	114	2	c	c	X
ejpam-4774	114	3	(	(	PUNCT
ejpam-4774	114	4	sφ	sφ	PROPN
ejpam-4774	114	5	(	(	PUNCT
ejpam-4774	114	6	s	s	PROPN
ejpam-4774	114	7	,	,	PUNCT
ejpam-4774	114	8	u)−	u)−	PROPN
ejpam-4774	114	9	sst	sst	PROPN
ejpam-4774	115	1	[	[	X
ejpam-4774	115	2	ϕ	ϕ	X
ejpam-4774	115	3	(	(	PUNCT
ejpam-4774	115	4	0	0	NUM
ejpam-4774	115	5	,	,	PUNCT
ejpam-4774	115	6	t	t	PROPN
ejpam-4774	115	7	)	)	PUNCT
ejpam-4774	115	8	]	]	PUNCT
ejpam-4774	115	9	)	)	PUNCT
ejpam-4774	116	1	+	+	PUNCT
ejpam-4774	116	2	d	d	X
ejpam-4774	116	3	(	(	PUNCT
ejpam-4774	116	4	1	1	NUM
ejpam-4774	116	5	u	u	NOUN
ejpam-4774	116	6	φ	φ	X
ejpam-4774	116	7	(	(	PUNCT
ejpam-4774	116	8	s	s	PROPN
ejpam-4774	116	9	,	,	PUNCT
ejpam-4774	116	10	u)−	u)−	PROPN
ejpam-4774	116	11	1	1	NUM
ejpam-4774	116	12	u	u	NOUN
ejpam-4774	116	13	gx	gx	PROPN
ejpam-4774	117	1	[	[	X
ejpam-4774	117	2	ϕ	ϕ	X
ejpam-4774	117	3	(	(	PUNCT
ejpam-4774	117	4	x	x	X
ejpam-4774	117	5	,	,	PUNCT
ejpam-4774	117	6	0	0	NUM
ejpam-4774	117	7	)	)	PUNCT
ejpam-4774	117	8	]	]	PUNCT
ejpam-4774	117	9	)	)	PUNCT
ejpam-4774	118	1	+	+	CCONJ
ejpam-4774	118	2	eφ	eφ	PROPN
ejpam-4774	118	3	(	(	PUNCT
ejpam-4774	118	4	s	s	PROPN
ejpam-4774	118	5	,	,	PUNCT
ejpam-4774	118	6	u	u	NOUN
ejpam-4774	118	7	)	)	PUNCT
ejpam-4774	118	8	=	=	SYM
ejpam-4774	118	9	gxst	gxst	NOUN
ejpam-4774	119	1	[	[	X
ejpam-4774	119	2	u1	u1	NOUN
ejpam-4774	119	3	(	(	PUNCT
ejpam-4774	119	4	x	x	NOUN
ejpam-4774	119	5	,	,	PUNCT
ejpam-4774	119	6	t	t	PROPN
ejpam-4774	119	7	)	)	PUNCT
ejpam-4774	119	8	]	]	PUNCT
ejpam-4774	120	1	+	+	CCONJ
ejpam-4774	120	2	gxst	gxst	X
ejpam-4774	121	1	[	[	X
ejpam-4774	121	2	u2	u2	NOUN
ejpam-4774	121	3	(	(	PUNCT
ejpam-4774	121	4	x	x	NOUN
ejpam-4774	121	5	,	,	PUNCT
ejpam-4774	121	6	t)]−	t)]−	PRON
ejpam-4774	121	7	gxst	gxst	VERB
ejpam-4774	122	1	[	[	X
ejpam-4774	122	2	n	n	X
ejpam-4774	122	3	[	[	X
ejpam-4774	122	4	ϕ	ϕ	X
ejpam-4774	122	5	(	(	PUNCT
ejpam-4774	122	6	x	x	PROPN
ejpam-4774	122	7	,	,	PUNCT
ejpam-4774	122	8	t	t	PROPN
ejpam-4774	122	9	)	)	PUNCT
ejpam-4774	122	10	]	]	PUNCT
ejpam-4774	122	11	]	]	PUNCT
ejpam-4774	122	12	.	.	PUNCT
ejpam-4774	123	1	(	(	PUNCT
ejpam-4774	123	2	7	7	X
ejpam-4774	123	3	)	)	PUNCT
ejpam-4774	123	4	after	after	ADP
ejpam-4774	123	5	simple	simple	ADJ
ejpam-4774	123	6	computations	computation	NOUN
ejpam-4774	123	7	and	and	CCONJ
ejpam-4774	123	8	using	use	VERB
ejpam-4774	123	9	the	the	DET
ejpam-4774	123	10	condition	condition	NOUN
ejpam-4774	123	11	(	(	PUNCT
ejpam-4774	123	12	5	5	NUM
ejpam-4774	123	13	)	)	PUNCT
ejpam-4774	123	14	equation	equation	NOUN
ejpam-4774	123	15	(	(	PUNCT
ejpam-4774	123	16	7	7	X
ejpam-4774	123	17	)	)	PUNCT
ejpam-4774	123	18	become	become	PROPN
ejpam-4774	123	19	(	(	PUNCT
ejpam-4774	123	20	as2	as2	X
ejpam-4774	123	21	+	+	CCONJ
ejpam-4774	123	22	b	b	PROPN
ejpam-4774	123	23	u2	u2	PROPN
ejpam-4774	123	24	+	+	CCONJ
ejpam-4774	123	25	cs+	cs+	ADJ
ejpam-4774	123	26	d	d	X
ejpam-4774	123	27	u	u	NOUN
ejpam-4774	123	28	+	+	PROPN
ejpam-4774	123	29	e	e	NOUN
ejpam-4774	123	30	)	)	PUNCT
ejpam-4774	123	31	φ	φ	PROPN
ejpam-4774	123	32	(	(	PUNCT
ejpam-4774	123	33	s	s	PROPN
ejpam-4774	123	34	,	,	PUNCT
ejpam-4774	123	35	u	u	NOUN
ejpam-4774	123	36	)	)	PUNCT
ejpam-4774	123	37	)	)	PUNCT
ejpam-4774	124	1	=	=	PUNCT
ejpam-4774	124	2	as2r1	as2r1	PROPN
ejpam-4774	124	3	(	(	PUNCT
ejpam-4774	124	4	u	u	NOUN
ejpam-4774	124	5	)	)	PUNCT
ejpam-4774	125	1	+	+	VERB
ejpam-4774	125	2	asr2	asr2	PROPN
ejpam-4774	125	3	(	(	PUNCT
ejpam-4774	125	4	u	u	NOUN
ejpam-4774	125	5	)	)	PUNCT
ejpam-4774	125	6	+	+	SYM
ejpam-4774	125	7	b	b	PROPN
ejpam-4774	125	8	u2	u2	PROPN
ejpam-4774	125	9	h1	h1	NOUN
ejpam-4774	125	10	(	(	PUNCT
ejpam-4774	125	11	s	s	NOUN
ejpam-4774	125	12	)	)	PUNCT
ejpam-4774	125	13	+	+	CCONJ
ejpam-4774	125	14	b	b	X
ejpam-4774	125	15	u	u	X
ejpam-4774	125	16	h2	h2	NOUN
ejpam-4774	125	17	(	(	PUNCT
ejpam-4774	125	18	s	s	NOUN
ejpam-4774	125	19	)	)	PUNCT
ejpam-4774	125	20	+	+	CCONJ
ejpam-4774	125	21	csr1	csr1	PROPN
ejpam-4774	125	22	(	(	PUNCT
ejpam-4774	125	23	u	u	NOUN
ejpam-4774	125	24	)	)	PUNCT
ejpam-4774	126	1	+	+	CCONJ
ejpam-4774	126	2	d	d	X
ejpam-4774	126	3	u	u	X
ejpam-4774	126	4	h1	h1	NOUN
ejpam-4774	126	5	(	(	PUNCT
ejpam-4774	126	6	s	s	NOUN
ejpam-4774	126	7	)	)	PUNCT
ejpam-4774	126	8	+	+	NUM
ejpam-4774	126	9	u1	u1	NOUN
ejpam-4774	126	10	(	(	PUNCT
ejpam-4774	126	11	s	s	PROPN
ejpam-4774	126	12	,	,	PUNCT
ejpam-4774	126	13	u	u	NOUN
ejpam-4774	126	14	)	)	PUNCT
ejpam-4774	126	15	+	+	CCONJ
ejpam-4774	126	16	gxst	gxst	X
ejpam-4774	127	1	[	[	X
ejpam-4774	127	2	u2	u2	NOUN
ejpam-4774	127	3	(	(	PUNCT
ejpam-4774	127	4	x	x	NOUN
ejpam-4774	127	5	,	,	PUNCT
ejpam-4774	127	6	t)−n	t)−n	PROPN
ejpam-4774	128	1	[	[	X
ejpam-4774	128	2	ϕ	ϕ	X
ejpam-4774	128	3	(	(	PUNCT
ejpam-4774	128	4	x	x	PROPN
ejpam-4774	128	5	,	,	PUNCT
ejpam-4774	128	6	t	t	PROPN
ejpam-4774	128	7	)	)	PUNCT
ejpam-4774	128	8	]	]	PUNCT
ejpam-4774	128	9	]	]	PUNCT
ejpam-4774	128	10	.	.	PUNCT
ejpam-4774	129	1	(	(	PUNCT
ejpam-4774	129	2	8)	8)	NUM
ejpam-4774	129	3	a.	a.	NOUN
ejpam-4774	129	4	qazza	qazza	PROPN
ejpam-4774	129	5	et	et	PROPN
ejpam-4774	129	6	al	al	PROPN
ejpam-4774	129	7	.	.	PUNCT
ejpam-4774	129	8	/	/	SYM
ejpam-4774	129	9	eur	eur	PROPN
ejpam-4774	129	10	.	.	PUNCT
ejpam-4774	130	1	j.	j.	PROPN
ejpam-4774	130	2	pure	pure	PROPN
ejpam-4774	130	3	appl	appl	PROPN
ejpam-4774	130	4	.	.	PROPN
ejpam-4774	130	5	math	math	PROPN
ejpam-4774	130	6	,	,	PUNCT
ejpam-4774	130	7	16	16	NUM
ejpam-4774	130	8	(	(	PUNCT
ejpam-4774	130	9	2	2	NUM
ejpam-4774	130	10	)	)	PUNCT
ejpam-4774	130	11	(	(	PUNCT
ejpam-4774	130	12	2023	2023	NUM
ejpam-4774	130	13	)	)	PUNCT
ejpam-4774	130	14	,	,	PUNCT
ejpam-4774	130	15	1274	1274	NUM
ejpam-4774	130	16	-	-	SYM
ejpam-4774	130	17	1289	1289	NUM
ejpam-4774	130	18	1279	1279	NUM
ejpam-4774	130	19	where	where	SCONJ
ejpam-4774	130	20	r1	r1	PROPN
ejpam-4774	130	21	(	(	PUNCT
ejpam-4774	130	22	u	u	NOUN
ejpam-4774	130	23	)	)	PUNCT
ejpam-4774	130	24	=	=	SYM
ejpam-4774	130	25	st	st	PROPN
ejpam-4774	131	1	[	[	X
ejpam-4774	131	2	ϕ	ϕ	X
ejpam-4774	131	3	(	(	PUNCT
ejpam-4774	131	4	0	0	NUM
ejpam-4774	131	5	,	,	PUNCT
ejpam-4774	131	6	t	t	PROPN
ejpam-4774	131	7	)	)	PUNCT
ejpam-4774	131	8	]	]	PUNCT
ejpam-4774	132	1	=	=	PUNCT
ejpam-4774	132	2	st	st	PROPN
ejpam-4774	133	1	[	[	X
ejpam-4774	133	2	r1	r1	PROPN
ejpam-4774	133	3	(	(	PUNCT
ejpam-4774	133	4	t	t	PROPN
ejpam-4774	133	5	)	)	PUNCT
ejpam-4774	133	6	]	]	PUNCT
ejpam-4774	133	7	,	,	PUNCT
ejpam-4774	133	8	r2	r2	PROPN
ejpam-4774	133	9	(	(	PUNCT
ejpam-4774	133	10	u	u	NOUN
ejpam-4774	133	11	)	)	PUNCT
ejpam-4774	133	12	=	=	SYM
ejpam-4774	133	13	st	st	PROPN
ejpam-4774	134	1	[	[	X
ejpam-4774	134	2	ϕx	ϕx	INTJ
ejpam-4774	134	3	(	(	PUNCT
ejpam-4774	134	4	0	0	NUM
ejpam-4774	134	5	,	,	PUNCT
ejpam-4774	134	6	t	t	PROPN
ejpam-4774	134	7	)	)	PUNCT
ejpam-4774	134	8	]	]	PUNCT
ejpam-4774	135	1	=	=	PUNCT
ejpam-4774	135	2	st	st	PROPN
ejpam-4774	136	1	[	[	X
ejpam-4774	136	2	r2	r2	PROPN
ejpam-4774	136	3	(	(	PUNCT
ejpam-4774	136	4	t	t	PROPN
ejpam-4774	136	5	)	)	PUNCT
ejpam-4774	136	6	]	]	PUNCT
ejpam-4774	136	7	,	,	PUNCT
ejpam-4774	136	8	h1	h1	PROPN
ejpam-4774	136	9	(	(	PUNCT
ejpam-4774	136	10	s	s	NOUN
ejpam-4774	136	11	)	)	PUNCT
ejpam-4774	136	12	=	=	SYM
ejpam-4774	136	13	gx	gx	PROPN
ejpam-4774	137	1	[	[	X
ejpam-4774	137	2	ϕ	ϕ	X
ejpam-4774	137	3	(	(	PUNCT
ejpam-4774	137	4	x	x	X
ejpam-4774	137	5	,	,	PUNCT
ejpam-4774	137	6	0	0	NUM
ejpam-4774	137	7	)	)	PUNCT
ejpam-4774	137	8	]	]	PUNCT
ejpam-4774	138	1	=	=	PUNCT
ejpam-4774	138	2	gx	gx	PROPN
ejpam-4774	139	1	[	[	X
ejpam-4774	139	2	h1	h1	X
ejpam-4774	139	3	(	(	PUNCT
ejpam-4774	139	4	x	x	NOUN
ejpam-4774	139	5	)	)	PUNCT
ejpam-4774	139	6	]	]	PUNCT
ejpam-4774	139	7	,	,	PUNCT
ejpam-4774	139	8	h2	h2	NOUN
ejpam-4774	139	9	(	(	PUNCT
ejpam-4774	139	10	s	s	X
ejpam-4774	139	11	)	)	PUNCT
ejpam-4774	139	12	=	=	SYM
ejpam-4774	139	13	gx	gx	PROPN
ejpam-4774	140	1	[	[	X
ejpam-4774	140	2	ϕt	ϕt	INTJ
ejpam-4774	140	3	(	(	PUNCT
ejpam-4774	140	4	x	x	X
ejpam-4774	140	5	,	,	PUNCT
ejpam-4774	140	6	0	0	NUM
ejpam-4774	140	7	)	)	PUNCT
ejpam-4774	140	8	]	]	PUNCT
ejpam-4774	141	1	=	=	PUNCT
ejpam-4774	141	2	gx	gx	PROPN
ejpam-4774	142	1	[	[	X
ejpam-4774	142	2	h2	h2	PROPN
ejpam-4774	142	3	(	(	PUNCT
ejpam-4774	142	4	x	x	NOUN
ejpam-4774	142	5	)	)	PUNCT
ejpam-4774	142	6	]	]	PUNCT
ejpam-4774	142	7	,	,	PUNCT
ejpam-4774	142	8	u1	u1	PROPN
ejpam-4774	142	9	(	(	PUNCT
ejpam-4774	142	10	s	s	PROPN
ejpam-4774	142	11	,	,	PUNCT
ejpam-4774	142	12	u	u	NOUN
ejpam-4774	142	13	)	)	PUNCT
ejpam-4774	142	14	=	=	SYM
ejpam-4774	142	15	gx	gx	PROPN
ejpam-4774	143	1	[	[	X
ejpam-4774	143	2	u1	u1	X
ejpam-4774	143	3	(	(	PUNCT
ejpam-4774	143	4	x	x	NOUN
ejpam-4774	143	5	,	,	PUNCT
ejpam-4774	143	6	t	t	PROPN
ejpam-4774	143	7	)	)	PUNCT
ejpam-4774	143	8	]	]	PUNCT
ejpam-4774	143	9	and	and	CCONJ
ejpam-4774	143	10	u2	u2	PROPN
ejpam-4774	143	11	(	(	PUNCT
ejpam-4774	143	12	s	s	PROPN
ejpam-4774	143	13	,	,	PUNCT
ejpam-4774	143	14	u	u	NOUN
ejpam-4774	143	15	)	)	PUNCT
ejpam-4774	143	16	=	=	SYM
ejpam-4774	143	17	gx	gx	PROPN
ejpam-4774	144	1	[	[	X
ejpam-4774	144	2	u2	u2	PROPN
ejpam-4774	144	3	(	(	PUNCT
ejpam-4774	144	4	x	x	PROPN
ejpam-4774	144	5	,	,	PUNCT
ejpam-4774	144	6	t	t	PROPN
ejpam-4774	144	7	)	)	PUNCT
ejpam-4774	144	8	]	]	PUNCT
ejpam-4774	144	9	.	.	PUNCT
ejpam-4774	145	1	now	now	ADV
ejpam-4774	145	2	,	,	PUNCT
ejpam-4774	145	3	simplifying	simplify	VERB
ejpam-4774	145	4	equation	equation	NOUN
ejpam-4774	145	5	(	(	PUNCT
ejpam-4774	145	6	8)	8)	NUM
ejpam-4774	145	7	,	,	PUNCT
ejpam-4774	145	8	we	we	PRON
ejpam-4774	145	9	get	get	VERB
ejpam-4774	145	10	φ	φ	PROPN
ejpam-4774	145	11	(	(	PUNCT
ejpam-4774	145	12	s	s	PROPN
ejpam-4774	145	13	,	,	PUNCT
ejpam-4774	145	14	u	u	NOUN
ejpam-4774	145	15	)	)	PUNCT
ejpam-4774	145	16	=	=	SYM
ejpam-4774	145	17	(	(	PUNCT
ejpam-4774	145	18	as2	as2	PROPN
ejpam-4774	145	19	+	+	CCONJ
ejpam-4774	145	20	b	b	PROPN
ejpam-4774	145	21	u2	u2	PROPN
ejpam-4774	145	22	+	+	CCONJ
ejpam-4774	145	23	cs+	cs+	ADJ
ejpam-4774	145	24	d	d	X
ejpam-4774	145	25	u	u	NOUN
ejpam-4774	145	26	+	+	NUM
ejpam-4774	145	27	e	e	NOUN
ejpam-4774	145	28	)	)	PUNCT
ejpam-4774	145	29	−1	−1	NOUN
ejpam-4774	145	30	(	(	PUNCT
ejpam-4774	145	31	as2r1	as2r1	PROPN
ejpam-4774	145	32	(	(	PUNCT
ejpam-4774	145	33	u	u	NOUN
ejpam-4774	145	34	)	)	PUNCT
ejpam-4774	145	35	+	+	VERB
ejpam-4774	145	36	asr2	asr2	PROPN
ejpam-4774	145	37	(	(	PUNCT
ejpam-4774	145	38	u	u	NOUN
ejpam-4774	145	39	)	)	PUNCT
ejpam-4774	146	1	+	+	SYM
ejpam-4774	146	2	b	b	PROPN
ejpam-4774	146	3	u2	u2	PROPN
ejpam-4774	146	4	h1	h1	NOUN
ejpam-4774	146	5	(	(	PUNCT
ejpam-4774	146	6	s	s	NOUN
ejpam-4774	146	7	)	)	PUNCT
ejpam-4774	146	8	+	+	CCONJ
ejpam-4774	146	9	b	b	X
ejpam-4774	146	10	u	u	X
ejpam-4774	146	11	h2	h2	NOUN
ejpam-4774	146	12	(	(	PUNCT
ejpam-4774	146	13	s	s	NOUN
ejpam-4774	146	14	)	)	PUNCT
ejpam-4774	146	15	+	+	CCONJ
ejpam-4774	146	16	csr1	csr1	PROPN
ejpam-4774	146	17	(	(	PUNCT
ejpam-4774	146	18	u	u	NOUN
ejpam-4774	146	19	)	)	PUNCT
ejpam-4774	146	20	+	+	CCONJ
ejpam-4774	146	21	d	d	X
ejpam-4774	146	22	u	u	X
ejpam-4774	146	23	h1	h1	NOUN
ejpam-4774	146	24	(	(	PUNCT
ejpam-4774	146	25	s	s	NOUN
ejpam-4774	146	26	)	)	PUNCT
ejpam-4774	146	27	+	+	NUM
ejpam-4774	146	28	u1	u1	NOUN
ejpam-4774	146	29	(	(	PUNCT
ejpam-4774	146	30	s	s	PROPN
ejpam-4774	146	31	,	,	PUNCT
ejpam-4774	146	32	u	u	NOUN
ejpam-4774	146	33	)	)	PUNCT
ejpam-4774	146	34	)	)	PUNCT
ejpam-4774	147	1	+	+	CCONJ
ejpam-4774	147	2	(	(	PUNCT
ejpam-4774	147	3	as2	as2	X
ejpam-4774	147	4	+	+	CCONJ
ejpam-4774	147	5	b	b	PROPN
ejpam-4774	147	6	u2	u2	PROPN
ejpam-4774	147	7	+	+	CCONJ
ejpam-4774	147	8	cs+	cs+	ADJ
ejpam-4774	147	9	d	d	X
ejpam-4774	147	10	u	u	NOUN
ejpam-4774	147	11	+	+	NUM
ejpam-4774	147	12	e	e	NOUN
ejpam-4774	147	13	)	)	PUNCT
ejpam-4774	147	14	−1	−1	NOUN
ejpam-4774	147	15	gxst	gxst	NOUN
ejpam-4774	148	1	[	[	X
ejpam-4774	148	2	u2	u2	NOUN
ejpam-4774	148	3	(	(	PUNCT
ejpam-4774	148	4	x	x	NOUN
ejpam-4774	148	5	,	,	PUNCT
ejpam-4774	148	6	t)−n	t)−n	PROPN
ejpam-4774	149	1	[	[	X
ejpam-4774	149	2	ϕ	ϕ	X
ejpam-4774	149	3	(	(	PUNCT
ejpam-4774	149	4	x	x	PROPN
ejpam-4774	149	5	,	,	PUNCT
ejpam-4774	149	6	t	t	PROPN
ejpam-4774	149	7	)	)	PUNCT
ejpam-4774	149	8	]	]	PUNCT
ejpam-4774	149	9	]	]	PUNCT
ejpam-4774	149	10	.	.	PUNCT
ejpam-4774	150	1	(	(	PUNCT
ejpam-4774	150	2	9	9	X
ejpam-4774	150	3	)	)	PUNCT
ejpam-4774	150	4	operating	operate	VERB
ejpam-4774	150	5	with	with	ADP
ejpam-4774	150	6	the	the	DET
ejpam-4774	150	7	transform	transform	NOUN
ejpam-4774	150	8	g−1	g−1	PROPN
ejpam-4774	150	9	x	x	PUNCT
ejpam-4774	150	10	s−1	s−1	PROPN
ejpam-4774	150	11	t	t	X
ejpam-4774	150	12	to	to	PART
ejpam-4774	150	13	(	(	PUNCT
ejpam-4774	150	14	9	9	NUM
ejpam-4774	150	15	)	)	PUNCT
ejpam-4774	150	16	,	,	PUNCT
ejpam-4774	150	17	to	to	PART
ejpam-4774	150	18	get	get	VERB
ejpam-4774	150	19	ϕ	ϕ	NOUN
ejpam-4774	150	20	(	(	PUNCT
ejpam-4774	150	21	x	x	PROPN
ejpam-4774	150	22	,	,	PUNCT
ejpam-4774	150	23	t	t	PROPN
ejpam-4774	150	24	)	)	PUNCT
ejpam-4774	150	25	=	=	PUNCT
ejpam-4774	151	1	g−1	g−1	PROPN
ejpam-4774	151	2	x	x	PUNCT
ejpam-4774	151	3	s−1	s−1	PROPN
ejpam-4774	151	4	t	t	NOUN
ejpam-4774	151	5	[	[	X
ejpam-4774	151	6	(	(	PUNCT
ejpam-4774	151	7	as2	as2	PROPN
ejpam-4774	151	8	+	+	CCONJ
ejpam-4774	151	9	b	b	PROPN
ejpam-4774	151	10	u2	u2	PROPN
ejpam-4774	151	11	+	+	CCONJ
ejpam-4774	151	12	cs+	cs+	ADJ
ejpam-4774	151	13	d	d	X
ejpam-4774	151	14	u	u	NOUN
ejpam-4774	151	15	+	+	NUM
ejpam-4774	151	16	e	e	NOUN
ejpam-4774	151	17	)	)	PUNCT
ejpam-4774	151	18	−1	−1	NOUN
ejpam-4774	151	19	(	(	PUNCT
ejpam-4774	151	20	as2r1	as2r1	PROPN
ejpam-4774	151	21	(	(	PUNCT
ejpam-4774	151	22	u	u	NOUN
ejpam-4774	151	23	)	)	PUNCT
ejpam-4774	152	1	+	+	VERB
ejpam-4774	152	2	asr2	asr2	PROPN
ejpam-4774	152	3	(	(	PUNCT
ejpam-4774	152	4	u	u	NOUN
ejpam-4774	152	5	)	)	PUNCT
ejpam-4774	153	1	+	+	SYM
ejpam-4774	153	2	b	b	PROPN
ejpam-4774	153	3	u2	u2	PROPN
ejpam-4774	153	4	h1	h1	NOUN
ejpam-4774	153	5	(	(	PUNCT
ejpam-4774	153	6	s	s	NOUN
ejpam-4774	153	7	)	)	PUNCT
ejpam-4774	153	8	+	+	CCONJ
ejpam-4774	153	9	b	b	X
ejpam-4774	153	10	u	u	X
ejpam-4774	153	11	h2	h2	NOUN
ejpam-4774	153	12	(	(	PUNCT
ejpam-4774	153	13	s	s	NOUN
ejpam-4774	153	14	)	)	PUNCT
ejpam-4774	153	15	+	+	CCONJ
ejpam-4774	153	16	csr1	csr1	PROPN
ejpam-4774	153	17	(	(	PUNCT
ejpam-4774	153	18	u	u	NOUN
ejpam-4774	153	19	)	)	PUNCT
ejpam-4774	153	20	+	+	CCONJ
ejpam-4774	153	21	d	d	X
ejpam-4774	153	22	u	u	X
ejpam-4774	153	23	h1	h1	NOUN
ejpam-4774	153	24	(	(	PUNCT
ejpam-4774	153	25	s	s	NOUN
ejpam-4774	153	26	)	)	PUNCT
ejpam-4774	153	27	+	+	NUM
ejpam-4774	153	28	u1	u1	NOUN
ejpam-4774	153	29	(	(	PUNCT
ejpam-4774	153	30	s	s	PROPN
ejpam-4774	153	31	,	,	PUNCT
ejpam-4774	153	32	u	u	NOUN
ejpam-4774	153	33	)	)	PUNCT
ejpam-4774	153	34	)	)	PUNCT
ejpam-4774	153	35	]	]	PUNCT
ejpam-4774	154	1	+	+	CCONJ
ejpam-4774	154	2	g−1	g−1	ADJ
ejpam-4774	154	3	x	x	SYM
ejpam-4774	154	4	s−1	s−1	PROPN
ejpam-4774	154	5	t	t	NOUN
ejpam-4774	154	6	[	[	X
ejpam-4774	154	7	(	(	PUNCT
ejpam-4774	154	8	as2	as2	PROPN
ejpam-4774	154	9	+	+	CCONJ
ejpam-4774	154	10	b	b	PROPN
ejpam-4774	154	11	u2	u2	PROPN
ejpam-4774	154	12	+	+	CCONJ
ejpam-4774	154	13	cs+	cs+	ADJ
ejpam-4774	154	14	d	d	X
ejpam-4774	154	15	u	u	NOUN
ejpam-4774	154	16	+	+	NUM
ejpam-4774	154	17	e	e	NOUN
ejpam-4774	154	18	)	)	PUNCT
ejpam-4774	154	19	−1	−1	NOUN
ejpam-4774	154	20	gxst	gxst	NOUN
ejpam-4774	155	1	[	[	X
ejpam-4774	155	2	u2	u2	NOUN
ejpam-4774	155	3	(	(	PUNCT
ejpam-4774	155	4	x	x	NOUN
ejpam-4774	155	5	,	,	PUNCT
ejpam-4774	155	6	t)−n	t)−n	PROPN
ejpam-4774	156	1	[	[	X
ejpam-4774	156	2	ϕ	ϕ	X
ejpam-4774	156	3	(	(	PUNCT
ejpam-4774	156	4	x	x	PROPN
ejpam-4774	156	5	,	,	PUNCT
ejpam-4774	156	6	t	t	PROPN
ejpam-4774	156	7	)	)	PUNCT
ejpam-4774	156	8	]	]	PUNCT
ejpam-4774	156	9	]	]	PUNCT
ejpam-4774	156	10	]	]	PUNCT
ejpam-4774	156	11	.	.	PUNCT
ejpam-4774	157	1	(	(	PUNCT
ejpam-4774	157	2	10	10	NUM
ejpam-4774	157	3	)	)	PUNCT
ejpam-4774	157	4	now	now	ADV
ejpam-4774	157	5	,	,	PUNCT
ejpam-4774	157	6	we	we	PRON
ejpam-4774	157	7	use	use	VERB
ejpam-4774	157	8	the	the	DET
ejpam-4774	157	9	iteration	iteration	NOUN
ejpam-4774	157	10	method	method	NOUN
ejpam-4774	157	11	,	,	PUNCT
ejpam-4774	157	12	so	so	ADV
ejpam-4774	157	13	define	define	VERB
ejpam-4774	157	14	the	the	DET
ejpam-4774	157	15	series	series	NOUN
ejpam-4774	157	16	solution	solution	NOUN
ejpam-4774	157	17	ϕ	ϕ	PROPN
ejpam-4774	157	18	(	(	PUNCT
ejpam-4774	157	19	x	x	PROPN
ejpam-4774	157	20	,	,	PUNCT
ejpam-4774	157	21	t	t	PROPN
ejpam-4774	157	22	)	)	PUNCT
ejpam-4774	157	23	=	=	PUNCT
ejpam-4774	158	1	∞∑	∞∑	NUM
ejpam-4774	158	2	i=0	i=0	PROPN
ejpam-4774	158	3	ϕi	ϕi	X
ejpam-4774	158	4	(	(	PUNCT
ejpam-4774	158	5	x	x	NOUN
ejpam-4774	158	6	,	,	PUNCT
ejpam-4774	158	7	t	t	PROPN
ejpam-4774	158	8	)	)	PUNCT
ejpam-4774	158	9	.	.	PUNCT
ejpam-4774	159	1	(	(	PUNCT
ejpam-4774	159	2	11	11	X
ejpam-4774	159	3	)	)	PUNCT
ejpam-4774	159	4	substituting	substitute	VERB
ejpam-4774	159	5	(	(	PUNCT
ejpam-4774	159	6	11	11	NUM
ejpam-4774	159	7	)	)	PUNCT
ejpam-4774	159	8	in	in	ADP
ejpam-4774	159	9	(	(	PUNCT
ejpam-4774	159	10	10	10	NUM
ejpam-4774	159	11	)	)	PUNCT
ejpam-4774	159	12	and	and	CCONJ
ejpam-4774	159	13	assuming	assume	VERB
ejpam-4774	159	14	that	that	SCONJ
ejpam-4774	159	15	the	the	DET
ejpam-4774	159	16	nonlinear	nonlinear	ADJ
ejpam-4774	159	17	term	term	NOUN
ejpam-4774	159	18	n	n	PRON
ejpam-4774	159	19	[	[	X
ejpam-4774	159	20	ϕ	ϕ	X
ejpam-4774	159	21	(	(	PUNCT
ejpam-4774	159	22	x	x	PROPN
ejpam-4774	159	23	,	,	PUNCT
ejpam-4774	159	24	t	t	PROPN
ejpam-4774	159	25	)	)	PUNCT
ejpam-4774	159	26	]	]	PUNCT
ejpam-4774	159	27	can	can	AUX
ejpam-4774	159	28	be	be	AUX
ejpam-4774	159	29	decomposed	decompose	VERB
ejpam-4774	159	30	as	as	ADP
ejpam-4774	159	31	n	n	NOUN
ejpam-4774	159	32	[	[	PUNCT
ejpam-4774	159	33	∞∑	∞∑	PROPN
ejpam-4774	159	34	i=0	i=0	PROPN
ejpam-4774	159	35	ϕi	ϕi	X
ejpam-4774	159	36	(	(	PUNCT
ejpam-4774	159	37	x	x	NOUN
ejpam-4774	159	38	,	,	PUNCT
ejpam-4774	159	39	t	t	PROPN
ejpam-4774	159	40	)	)	PUNCT
ejpam-4774	159	41	]	]	PUNCT
ejpam-4774	160	1	=	=	PUNCT
ejpam-4774	160	2	n	n	NUM
ejpam-4774	161	1	[	[	X
ejpam-4774	161	2	ϕ0	ϕ0	NOUN
ejpam-4774	161	3	(	(	PUNCT
ejpam-4774	161	4	x	x	X
ejpam-4774	161	5	,	,	PUNCT
ejpam-4774	161	6	t	t	PROPN
ejpam-4774	161	7	)	)	PUNCT
ejpam-4774	161	8	]	]	PUNCT
ejpam-4774	162	1	+	+	CCONJ
ejpam-4774	162	2	∞∑	∞∑	NUM
ejpam-4774	162	3	i=1	i=1	X
ejpam-4774	162	4	(	(	PUNCT
ejpam-4774	162	5	n	n	X
ejpam-4774	162	6	[	[	PUNCT
ejpam-4774	162	7	i∑	i∑	PROPN
ejpam-4774	162	8	k=0	k=0	PROPN
ejpam-4774	162	9	ϕk	ϕk	PROPN
ejpam-4774	162	10	(	(	PUNCT
ejpam-4774	162	11	x	x	X
ejpam-4774	162	12	,	,	PUNCT
ejpam-4774	162	13	t	t	PROPN
ejpam-4774	162	14	)	)	PUNCT
ejpam-4774	162	15	]	]	PUNCT
ejpam-4774	163	1	−n	−n	ADV
ejpam-4774	163	2	[	[	PUNCT
ejpam-4774	163	3	i−1∑	i−1∑	PROPN
ejpam-4774	163	4	i=0	i=0	PROPN
ejpam-4774	163	5	ϕk	ϕk	PRON
ejpam-4774	163	6	(	(	PUNCT
ejpam-4774	163	7	x	x	PROPN
ejpam-4774	163	8	,	,	PUNCT
ejpam-4774	163	9	t	t	PROPN
ejpam-4774	163	10	)	)	PUNCT
ejpam-4774	163	11	]	]	PUNCT
ejpam-4774	163	12	)	)	PUNCT
ejpam-4774	163	13	,	,	PUNCT
ejpam-4774	163	14	a.	a.	NOUN
ejpam-4774	163	15	qazza	qazza	PROPN
ejpam-4774	163	16	et	et	PROPN
ejpam-4774	163	17	al	al	PROPN
ejpam-4774	163	18	.	.	PUNCT
ejpam-4774	163	19	/	/	SYM
ejpam-4774	163	20	eur	eur	PROPN
ejpam-4774	163	21	.	.	PUNCT
ejpam-4774	164	1	j.	j.	PROPN
ejpam-4774	164	2	pure	pure	PROPN
ejpam-4774	164	3	appl	appl	PROPN
ejpam-4774	164	4	.	.	PROPN
ejpam-4774	164	5	math	math	PROPN
ejpam-4774	164	6	,	,	PUNCT
ejpam-4774	164	7	16	16	NUM
ejpam-4774	164	8	(	(	PUNCT
ejpam-4774	164	9	2	2	NUM
ejpam-4774	164	10	)	)	PUNCT
ejpam-4774	164	11	(	(	PUNCT
ejpam-4774	164	12	2023	2023	NUM
ejpam-4774	164	13	)	)	PUNCT
ejpam-4774	164	14	,	,	PUNCT
ejpam-4774	164	15	1274	1274	NUM
ejpam-4774	164	16	-	-	SYM
ejpam-4774	164	17	1289	1289	NUM
ejpam-4774	164	18	1280	1280	NUM
ejpam-4774	164	19	thus	thus	ADV
ejpam-4774	164	20	,	,	PUNCT
ejpam-4774	164	21	we	we	PRON
ejpam-4774	164	22	have	have	VERB
ejpam-4774	164	23	∞∑	∞∑	NUM
ejpam-4774	164	24	i=0	i=0	PROPN
ejpam-4774	164	25	ϕi	ϕi	X
ejpam-4774	164	26	(	(	PUNCT
ejpam-4774	164	27	x	x	NOUN
ejpam-4774	164	28	,	,	PUNCT
ejpam-4774	164	29	t	t	PROPN
ejpam-4774	164	30	)	)	PUNCT
ejpam-4774	164	31	=	=	PUNCT
ejpam-4774	165	1	g−1	g−1	PROPN
ejpam-4774	165	2	x	x	PUNCT
ejpam-4774	165	3	s−1	s−1	PROPN
ejpam-4774	165	4	t	t	NOUN
ejpam-4774	165	5	[	[	X
ejpam-4774	165	6	(	(	PUNCT
ejpam-4774	165	7	as2	as2	PROPN
ejpam-4774	165	8	+	+	CCONJ
ejpam-4774	165	9	b	b	PROPN
ejpam-4774	165	10	u2	u2	PROPN
ejpam-4774	165	11	+	+	CCONJ
ejpam-4774	165	12	cs+	cs+	ADJ
ejpam-4774	165	13	d	d	X
ejpam-4774	165	14	u	u	NOUN
ejpam-4774	165	15	+	+	NUM
ejpam-4774	165	16	e	e	NOUN
ejpam-4774	165	17	)	)	PUNCT
ejpam-4774	165	18	−1	−1	NOUN
ejpam-4774	165	19	(	(	PUNCT
ejpam-4774	165	20	as2r1	as2r1	PROPN
ejpam-4774	165	21	(	(	PUNCT
ejpam-4774	165	22	u	u	NOUN
ejpam-4774	165	23	)	)	PUNCT
ejpam-4774	166	1	+	+	VERB
ejpam-4774	166	2	asr2	asr2	PROPN
ejpam-4774	166	3	(	(	PUNCT
ejpam-4774	166	4	u	u	NOUN
ejpam-4774	166	5	)	)	PUNCT
ejpam-4774	167	1	+	+	SYM
ejpam-4774	167	2	b	b	PROPN
ejpam-4774	167	3	u2	u2	PROPN
ejpam-4774	167	4	h1	h1	NOUN
ejpam-4774	167	5	(	(	PUNCT
ejpam-4774	167	6	s	s	NOUN
ejpam-4774	167	7	)	)	PUNCT
ejpam-4774	167	8	+	+	CCONJ
ejpam-4774	167	9	b	b	X
ejpam-4774	167	10	u	u	X
ejpam-4774	167	11	h2	h2	NOUN
ejpam-4774	167	12	(	(	PUNCT
ejpam-4774	167	13	s	s	NOUN
ejpam-4774	167	14	)	)	PUNCT
ejpam-4774	167	15	+	+	CCONJ
ejpam-4774	167	16	csr1	csr1	PROPN
ejpam-4774	167	17	(	(	PUNCT
ejpam-4774	167	18	u	u	NOUN
ejpam-4774	167	19	)	)	PUNCT
ejpam-4774	167	20	+	+	CCONJ
ejpam-4774	167	21	d	d	X
ejpam-4774	167	22	u	u	X
ejpam-4774	167	23	h1	h1	NOUN
ejpam-4774	167	24	(	(	PUNCT
ejpam-4774	167	25	s	s	NOUN
ejpam-4774	167	26	)	)	PUNCT
ejpam-4774	167	27	+	+	NUM
ejpam-4774	167	28	u1	u1	NOUN
ejpam-4774	167	29	(	(	PUNCT
ejpam-4774	167	30	s	s	PROPN
ejpam-4774	167	31	,	,	PUNCT
ejpam-4774	167	32	u	u	NOUN
ejpam-4774	167	33	)	)	PUNCT
ejpam-4774	167	34	)	)	PUNCT
ejpam-4774	167	35	]	]	PUNCT
ejpam-4774	168	1	+	+	CCONJ
ejpam-4774	168	2	g−1	g−1	ADJ
ejpam-4774	168	3	x	x	SYM
ejpam-4774	168	4	s−1	s−1	PROPN
ejpam-4774	168	5	t	t	NOUN
ejpam-4774	168	6	[	[	X
ejpam-4774	168	7	(	(	PUNCT
ejpam-4774	168	8	as2	as2	PROPN
ejpam-4774	168	9	+	+	CCONJ
ejpam-4774	168	10	b	b	PROPN
ejpam-4774	168	11	u2	u2	PROPN
ejpam-4774	168	12	+	+	CCONJ
ejpam-4774	168	13	cs+	cs+	ADJ
ejpam-4774	168	14	d	d	X
ejpam-4774	168	15	u	u	NOUN
ejpam-4774	168	16	+	+	NUM
ejpam-4774	168	17	e	e	NOUN
ejpam-4774	168	18	)	)	PUNCT
ejpam-4774	168	19	−1	−1	NOUN
ejpam-4774	168	20	gxst	gxst	NOUN
ejpam-4774	169	1	[	[	X
ejpam-4774	169	2	u2	u2	NOUN
ejpam-4774	169	3	(	(	PUNCT
ejpam-4774	169	4	x	x	NOUN
ejpam-4774	169	5	,	,	PUNCT
ejpam-4774	169	6	t)−n	t)−n	PROPN
ejpam-4774	170	1	[	[	X
ejpam-4774	170	2	ϕ0	ϕ0	NOUN
ejpam-4774	170	3	(	(	PUNCT
ejpam-4774	170	4	x	x	X
ejpam-4774	170	5	,	,	PUNCT
ejpam-4774	170	6	t	t	PROPN
ejpam-4774	170	7	)	)	PUNCT
ejpam-4774	170	8	]	]	PUNCT
ejpam-4774	170	9	]	]	PUNCT
ejpam-4774	170	10	]	]	PUNCT
ejpam-4774	171	1	+	+	CCONJ
ejpam-4774	171	2	g−1	g−1	ADJ
ejpam-4774	171	3	x	x	SYM
ejpam-4774	171	4	s−1	s−1	PROPN
ejpam-4774	171	5	t	t	NOUN
ejpam-4774	171	6	[	[	X
ejpam-4774	171	7	(	(	PUNCT
ejpam-4774	171	8	as2	as2	PROPN
ejpam-4774	171	9	+	+	CCONJ
ejpam-4774	171	10	b	b	PROPN
ejpam-4774	171	11	u2	u2	PROPN
ejpam-4774	171	12	+	+	CCONJ
ejpam-4774	171	13	cs+	cs+	ADJ
ejpam-4774	171	14	d	d	X
ejpam-4774	171	15	u	u	NOUN
ejpam-4774	171	16	+	+	NUM
ejpam-4774	171	17	e	e	NOUN
ejpam-4774	171	18	)	)	PUNCT
ejpam-4774	171	19	−1	−1	NOUN
ejpam-4774	171	20	gxst	gxst	NOUN
ejpam-4774	171	21	[	[	PUNCT
ejpam-4774	171	22	∞∑	∞∑	NUM
ejpam-4774	171	23	i=1	i=1	X
ejpam-4774	171	24	(	(	PUNCT
ejpam-4774	171	25	n	n	X
ejpam-4774	171	26	[	[	PUNCT
ejpam-4774	171	27	i∑	i∑	PROPN
ejpam-4774	171	28	k=0	k=0	PROPN
ejpam-4774	171	29	ϕk	ϕk	PROPN
ejpam-4774	171	30	(	(	PUNCT
ejpam-4774	171	31	x	x	X
ejpam-4774	171	32	,	,	PUNCT
ejpam-4774	171	33	t	t	PROPN
ejpam-4774	171	34	)	)	PUNCT
ejpam-4774	171	35	]	]	PUNCT
ejpam-4774	172	1	−n	−n	ADV
ejpam-4774	172	2	[	[	PUNCT
ejpam-4774	172	3	i−1∑	i−1∑	PROPN
ejpam-4774	172	4	i=0	i=0	PROPN
ejpam-4774	172	5	ϕk	ϕk	PRON
ejpam-4774	172	6	(	(	PUNCT
ejpam-4774	172	7	x	x	PROPN
ejpam-4774	172	8	,	,	PUNCT
ejpam-4774	172	9	t	t	PROPN
ejpam-4774	172	10	)	)	PUNCT
ejpam-4774	172	11	]	]	PUNCT
ejpam-4774	172	12	)	)	PUNCT
ejpam-4774	172	13	]	]	PUNCT
ejpam-4774	172	14	]	]	PUNCT
ejpam-4774	172	15	.	.	PUNCT
ejpam-4774	173	1	as	as	ADP
ejpam-4774	173	2	a	a	DET
ejpam-4774	173	3	result	result	NOUN
ejpam-4774	173	4	,	,	PUNCT
ejpam-4774	173	5	we	we	PRON
ejpam-4774	173	6	obtain	obtain	VERB
ejpam-4774	173	7	the	the	DET
ejpam-4774	173	8	following	follow	VERB
ejpam-4774	173	9	relations	relation	NOUN
ejpam-4774	173	10	for	for	ADP
ejpam-4774	173	11	the	the	DET
ejpam-4774	173	12	solution	solution	NOUN
ejpam-4774	173	13	ϕ0	ϕ0	NOUN
ejpam-4774	173	14	(	(	PUNCT
ejpam-4774	173	15	x	x	X
ejpam-4774	173	16	,	,	PUNCT
ejpam-4774	173	17	t	t	PROPN
ejpam-4774	173	18	)	)	PUNCT
ejpam-4774	173	19	=	=	PUNCT
ejpam-4774	174	1	g−1	g−1	PROPN
ejpam-4774	174	2	x	x	PUNCT
ejpam-4774	174	3	s−1	s−1	PROPN
ejpam-4774	174	4	t	t	NOUN
ejpam-4774	174	5	[	[	X
ejpam-4774	174	6	(	(	PUNCT
ejpam-4774	174	7	as2	as2	PROPN
ejpam-4774	174	8	+	+	CCONJ
ejpam-4774	174	9	b	b	PROPN
ejpam-4774	174	10	u2	u2	PROPN
ejpam-4774	174	11	+	+	CCONJ
ejpam-4774	174	12	cs+	cs+	ADJ
ejpam-4774	174	13	d	d	X
ejpam-4774	174	14	u	u	NOUN
ejpam-4774	174	15	+	+	NUM
ejpam-4774	174	16	e	e	NOUN
ejpam-4774	174	17	)	)	PUNCT
ejpam-4774	174	18	−1	−1	NOUN
ejpam-4774	174	19	(	(	PUNCT
ejpam-4774	174	20	as2r1	as2r1	PROPN
ejpam-4774	174	21	(	(	PUNCT
ejpam-4774	174	22	u	u	NOUN
ejpam-4774	174	23	)	)	PUNCT
ejpam-4774	175	1	+	+	VERB
ejpam-4774	175	2	asr2	asr2	PROPN
ejpam-4774	175	3	(	(	PUNCT
ejpam-4774	175	4	u	u	NOUN
ejpam-4774	175	5	)	)	PUNCT
ejpam-4774	176	1	+	+	SYM
ejpam-4774	176	2	b	b	PROPN
ejpam-4774	176	3	u2	u2	PROPN
ejpam-4774	176	4	h1	h1	NOUN
ejpam-4774	176	5	(	(	PUNCT
ejpam-4774	176	6	s	s	NOUN
ejpam-4774	176	7	)	)	PUNCT
ejpam-4774	176	8	+	+	CCONJ
ejpam-4774	176	9	b	b	X
ejpam-4774	176	10	u	u	X
ejpam-4774	176	11	h2	h2	NOUN
ejpam-4774	176	12	(	(	PUNCT
ejpam-4774	176	13	s	s	NOUN
ejpam-4774	176	14	)	)	PUNCT
ejpam-4774	176	15	+	+	CCONJ
ejpam-4774	176	16	csr1	csr1	PROPN
ejpam-4774	176	17	(	(	PUNCT
ejpam-4774	176	18	u	u	NOUN
ejpam-4774	176	19	)	)	PUNCT
ejpam-4774	176	20	+	+	CCONJ
ejpam-4774	176	21	d	d	X
ejpam-4774	176	22	u	u	X
ejpam-4774	176	23	h1	h1	NOUN
ejpam-4774	176	24	(	(	PUNCT
ejpam-4774	176	25	s	s	NOUN
ejpam-4774	176	26	)	)	PUNCT
ejpam-4774	176	27	+	+	NUM
ejpam-4774	176	28	u1	u1	NOUN
ejpam-4774	176	29	(	(	PUNCT
ejpam-4774	176	30	s	s	PROPN
ejpam-4774	176	31	,	,	PUNCT
ejpam-4774	176	32	u	u	NOUN
ejpam-4774	176	33	)	)	PUNCT
ejpam-4774	176	34	)	)	PUNCT
ejpam-4774	176	35	]	]	PUNCT
ejpam-4774	176	36	,	,	PUNCT
ejpam-4774	176	37	ϕ1	ϕ1	NOUN
ejpam-4774	176	38	(	(	PUNCT
ejpam-4774	176	39	x	x	NOUN
ejpam-4774	176	40	,	,	PUNCT
ejpam-4774	176	41	t	t	PROPN
ejpam-4774	176	42	)	)	PUNCT
ejpam-4774	176	43	=	=	PUNCT
ejpam-4774	177	1	g−1	g−1	PROPN
ejpam-4774	177	2	x	x	PUNCT
ejpam-4774	177	3	s−1	s−1	PROPN
ejpam-4774	177	4	t	t	NOUN
ejpam-4774	177	5	[	[	X
ejpam-4774	177	6	(	(	PUNCT
ejpam-4774	177	7	as2	as2	PROPN
ejpam-4774	177	8	+	+	CCONJ
ejpam-4774	177	9	b	b	PROPN
ejpam-4774	177	10	u2	u2	PROPN
ejpam-4774	177	11	+	+	CCONJ
ejpam-4774	177	12	cs+	cs+	ADJ
ejpam-4774	177	13	d	d	X
ejpam-4774	177	14	u	u	NOUN
ejpam-4774	177	15	+	+	NUM
ejpam-4774	177	16	e	e	NOUN
ejpam-4774	177	17	)	)	PUNCT
ejpam-4774	177	18	−1	−1	NOUN
ejpam-4774	177	19	gxst	gxst	NOUN
ejpam-4774	178	1	[	[	X
ejpam-4774	178	2	u2	u2	NOUN
ejpam-4774	178	3	(	(	PUNCT
ejpam-4774	178	4	x	x	NOUN
ejpam-4774	178	5	,	,	PUNCT
ejpam-4774	178	6	t)−n	t)−n	PROPN
ejpam-4774	179	1	[	[	X
ejpam-4774	179	2	ϕ0	ϕ0	NOUN
ejpam-4774	179	3	(	(	PUNCT
ejpam-4774	179	4	x	x	X
ejpam-4774	179	5	,	,	PUNCT
ejpam-4774	179	6	t	t	PROPN
ejpam-4774	179	7	)	)	PUNCT
ejpam-4774	179	8	]	]	PUNCT
ejpam-4774	179	9	]	]	PUNCT
ejpam-4774	179	10	]	]	PUNCT
ejpam-4774	179	11	,	,	PUNCT
ejpam-4774	179	12	...	...	PUNCT
ejpam-4774	179	13	ϕr+1	ϕr+1	INTJ
ejpam-4774	179	14	(	(	PUNCT
ejpam-4774	179	15	x	x	NOUN
ejpam-4774	179	16	,	,	PUNCT
ejpam-4774	179	17	t	t	PROPN
ejpam-4774	179	18	)	)	PUNCT
ejpam-4774	179	19	=	=	PUNCT
ejpam-4774	179	20	−g−1	−g−1	NOUN
ejpam-4774	179	21	x	x	X
ejpam-4774	179	22	s−1	s−1	PROPN
ejpam-4774	179	23	t	t	NOUN
ejpam-4774	179	24	[	[	X
ejpam-4774	179	25	(	(	PUNCT
ejpam-4774	179	26	as2	as2	PROPN
ejpam-4774	179	27	+	+	CCONJ
ejpam-4774	179	28	b	b	PROPN
ejpam-4774	179	29	u2	u2	PROPN
ejpam-4774	179	30	+	+	CCONJ
ejpam-4774	179	31	cs+	cs+	ADJ
ejpam-4774	179	32	d	d	X
ejpam-4774	179	33	u	u	NOUN
ejpam-4774	179	34	+	+	NUM
ejpam-4774	179	35	e	e	NOUN
ejpam-4774	179	36	)	)	PUNCT
ejpam-4774	179	37	−1	−1	NOUN
ejpam-4774	179	38	gxst	gxst	NOUN
ejpam-4774	179	39	[	[	PUNCT
ejpam-4774	179	40	∞∑	∞∑	NUM
ejpam-4774	179	41	i=1	i=1	X
ejpam-4774	179	42	(	(	PUNCT
ejpam-4774	179	43	n	n	X
ejpam-4774	179	44	[	[	PUNCT
ejpam-4774	179	45	i∑	i∑	PROPN
ejpam-4774	179	46	k=0	k=0	PROPN
ejpam-4774	179	47	ϕk	ϕk	PROPN
ejpam-4774	179	48	(	(	PUNCT
ejpam-4774	179	49	x	x	X
ejpam-4774	179	50	,	,	PUNCT
ejpam-4774	179	51	t	t	PROPN
ejpam-4774	179	52	)	)	PUNCT
ejpam-4774	179	53	]	]	PUNCT
ejpam-4774	180	1	−n	−n	ADV
ejpam-4774	180	2	[	[	PUNCT
ejpam-4774	180	3	i−1∑	i−1∑	PROPN
ejpam-4774	180	4	i=0	i=0	PROPN
ejpam-4774	180	5	ϕk	ϕk	PRON
ejpam-4774	180	6	(	(	PUNCT
ejpam-4774	180	7	x	x	PROPN
ejpam-4774	180	8	,	,	PUNCT
ejpam-4774	180	9	t	t	PROPN
ejpam-4774	180	10	)	)	PUNCT
ejpam-4774	180	11	]	]	PUNCT
ejpam-4774	180	12	)	)	PUNCT
ejpam-4774	180	13	]	]	PUNCT
ejpam-4774	180	14	]	]	PUNCT
ejpam-4774	180	15	.	.	PUNCT
ejpam-4774	181	1	(	(	PUNCT
ejpam-4774	181	2	12	12	NUM
ejpam-4774	181	3	)	)	PUNCT
ejpam-4774	181	4	following	follow	VERB
ejpam-4774	181	5	that	that	PRON
ejpam-4774	181	6	,	,	PUNCT
ejpam-4774	181	7	we	we	PRON
ejpam-4774	181	8	get	get	VERB
ejpam-4774	181	9	the	the	DET
ejpam-4774	181	10	analytical	analytical	ADJ
ejpam-4774	181	11	series	series	NOUN
ejpam-4774	181	12	solution	solution	NOUN
ejpam-4774	181	13	of	of	ADP
ejpam-4774	181	14	equation	equation	NOUN
ejpam-4774	181	15	(	(	PUNCT
ejpam-4774	181	16	4	4	NUM
ejpam-4774	181	17	)	)	PUNCT
ejpam-4774	181	18	as	as	ADP
ejpam-4774	181	19	ϕ	ϕ	PROPN
ejpam-4774	181	20	(	(	PUNCT
ejpam-4774	181	21	x	x	PROPN
ejpam-4774	181	22	,	,	PUNCT
ejpam-4774	181	23	t	t	PROPN
ejpam-4774	181	24	)	)	PUNCT
ejpam-4774	181	25	=	=	SYM
ejpam-4774	181	26	ϕ0	ϕ0	NOUN
ejpam-4774	181	27	(	(	PUNCT
ejpam-4774	181	28	x	x	X
ejpam-4774	181	29	,	,	PUNCT
ejpam-4774	181	30	t	t	PROPN
ejpam-4774	181	31	)	)	PUNCT
ejpam-4774	181	32	+	+	NUM
ejpam-4774	181	33	ϕ1	ϕ1	NOUN
ejpam-4774	181	34	(	(	PUNCT
ejpam-4774	181	35	x	x	NOUN
ejpam-4774	181	36	,	,	PUNCT
ejpam-4774	181	37	t	t	PROPN
ejpam-4774	181	38	)	)	PUNCT
ejpam-4774	181	39	+	+	CCONJ
ejpam-4774	181	40	.	.	PUNCT
ejpam-4774	181	41	.	.	PUNCT
ejpam-4774	181	42	.	.	PUNCT
ejpam-4774	182	1	.	.	PUNCT
ejpam-4774	183	1	4	4	X
ejpam-4774	183	2	.	.	X
ejpam-4774	183	3	numerical	numerical	ADJ
ejpam-4774	183	4	problems	problem	NOUN
ejpam-4774	183	5	some	some	DET
ejpam-4774	183	6	problems	problem	NOUN
ejpam-4774	183	7	of	of	ADP
ejpam-4774	183	8	familiar	familiar	ADJ
ejpam-4774	183	9	nonlinear	nonlinear	ADJ
ejpam-4774	183	10	partial	partial	ADJ
ejpam-4774	183	11	differential	differential	NOUN
ejpam-4774	183	12	equations	equation	NOUN
ejpam-4774	183	13	,	,	PUNCT
ejpam-4774	183	14	are	be	AUX
ejpam-4774	183	15	solved	solve	VERB
ejpam-4774	183	16	in	in	ADP
ejpam-4774	183	17	this	this	DET
ejpam-4774	183	18	section	section	NOUN
ejpam-4774	183	19	,	,	PUNCT
ejpam-4774	183	20	these	these	DET
ejpam-4774	183	21	equations	equation	NOUN
ejpam-4774	183	22	present	present	VERB
ejpam-4774	183	23	some	some	DET
ejpam-4774	183	24	physical	physical	ADJ
ejpam-4774	183	25	applications	application	NOUN
ejpam-4774	183	26	,	,	PUNCT
ejpam-4774	183	27	such	such	ADJ
ejpam-4774	183	28	as	as	ADP
ejpam-4774	183	29	advection	advection	NOUN
ejpam-4774	183	30	equation	equation	NOUN
ejpam-4774	183	31	,	,	PUNCT
ejpam-4774	183	32	wave	wave	NOUN
ejpam-4774	183	33	equation	equation	NOUN
ejpam-4774	183	34	,	,	PUNCT
ejpam-4774	183	35	heat	heat	NOUN
ejpam-4774	183	36	equation	equation	NOUN
ejpam-4774	183	37	and	and	CCONJ
ejpam-4774	183	38	kdv	kdv	NOUN
ejpam-4774	183	39	equation	equation	NOUN
ejpam-4774	183	40	,	,	PUNCT
ejpam-4774	183	41	all	all	PRON
ejpam-4774	183	42	of	of	ADP
ejpam-4774	183	43	these	these	DET
ejpam-4774	183	44	equations	equation	NOUN
ejpam-4774	183	45	are	be	AUX
ejpam-4774	183	46	important	important	ADJ
ejpam-4774	183	47	in	in	ADP
ejpam-4774	183	48	physical	physical	ADJ
ejpam-4774	183	49	science	science	NOUN
ejpam-4774	183	50	.	.	PUNCT
ejpam-4774	184	1	we	we	PRON
ejpam-4774	184	2	apply	apply	VERB
ejpam-4774	184	3	idara	idara	NOUN
ejpam-4774	184	4	-	-	PUNCT
ejpam-4774	184	5	st	st	NOUN
ejpam-4774	184	6	to	to	PART
ejpam-4774	184	7	solve	solve	VERB
ejpam-4774	184	8	the	the	DET
ejpam-4774	184	9	proposed	propose	VERB
ejpam-4774	184	10	equations	equation	NOUN
ejpam-4774	184	11	and	and	CCONJ
ejpam-4774	184	12	we	we	PRON
ejpam-4774	184	13	sketch	sketch	VERB
ejpam-4774	184	14	the	the	DET
ejpam-4774	184	15	exact	exact	ADJ
ejpam-4774	184	16	solutions	solution	NOUN
ejpam-4774	184	17	.	.	PUNCT
ejpam-4774	185	1	a.	a.	NOUN
ejpam-4774	185	2	qazza	qazza	PROPN
ejpam-4774	185	3	et	et	PROPN
ejpam-4774	185	4	al	al	PROPN
ejpam-4774	185	5	.	.	PUNCT
ejpam-4774	185	6	/	/	SYM
ejpam-4774	185	7	eur	eur	PROPN
ejpam-4774	185	8	.	.	PUNCT
ejpam-4774	186	1	j.	j.	PROPN
ejpam-4774	186	2	pure	pure	PROPN
ejpam-4774	186	3	appl	appl	PROPN
ejpam-4774	186	4	.	.	PROPN
ejpam-4774	186	5	math	math	PROPN
ejpam-4774	186	6	,	,	PUNCT
ejpam-4774	186	7	16	16	NUM
ejpam-4774	186	8	(	(	PUNCT
ejpam-4774	186	9	2	2	NUM
ejpam-4774	186	10	)	)	PUNCT
ejpam-4774	186	11	(	(	PUNCT
ejpam-4774	186	12	2023	2023	NUM
ejpam-4774	186	13	)	)	PUNCT
ejpam-4774	186	14	,	,	PUNCT
ejpam-4774	186	15	1274	1274	NUM
ejpam-4774	186	16	-	-	SYM
ejpam-4774	186	17	1289	1289	NUM
ejpam-4774	186	18	1281	1281	NUM
ejpam-4774	186	19	problem	problem	NOUN
ejpam-4774	186	20	1	1	NUM
ejpam-4774	186	21	.	.	PUNCT
ejpam-4774	186	22	consider	consider	VERB
ejpam-4774	186	23	the	the	DET
ejpam-4774	186	24	non	non	ADJ
ejpam-4774	186	25	-	-	ADJ
ejpam-4774	186	26	homogeneous	homogeneous	ADJ
ejpam-4774	186	27	advection	advection	NOUN
ejpam-4774	186	28	problem	problem	NOUN
ejpam-4774	186	29	ϕt	ϕt	INTJ
ejpam-4774	186	30	(	(	PUNCT
ejpam-4774	186	31	x	x	X
ejpam-4774	186	32	,	,	PUNCT
ejpam-4774	186	33	t	t	PROPN
ejpam-4774	186	34	)	)	PUNCT
ejpam-4774	186	35	+	+	X
ejpam-4774	186	36	ϕ	ϕ	X
ejpam-4774	186	37	(	(	PUNCT
ejpam-4774	186	38	x	x	X
ejpam-4774	186	39	,	,	PUNCT
ejpam-4774	186	40	t)ϕx	t)ϕx	PROPN
ejpam-4774	186	41	(	(	PUNCT
ejpam-4774	186	42	x	x	PROPN
ejpam-4774	186	43	,	,	PUNCT
ejpam-4774	186	44	t	t	PROPN
ejpam-4774	186	45	)	)	PUNCT
ejpam-4774	186	46	=	=	SYM
ejpam-4774	186	47	2t+	2t+	NUM
ejpam-4774	186	48	x+	x+	ADJ
ejpam-4774	186	49	t3	t3	PROPN
ejpam-4774	186	50	+	+	CCONJ
ejpam-4774	186	51	xt2	xt2	PROPN
ejpam-4774	186	52	,	,	PUNCT
ejpam-4774	186	53	(	(	PUNCT
ejpam-4774	186	54	13	13	NUM
ejpam-4774	186	55	)	)	PUNCT
ejpam-4774	186	56	with	with	ADP
ejpam-4774	186	57	initial	initial	ADJ
ejpam-4774	186	58	condition	condition	NOUN
ejpam-4774	186	59	ϕ	ϕ	NOUN
ejpam-4774	186	60	(	(	PUNCT
ejpam-4774	186	61	x	x	PROPN
ejpam-4774	186	62	,	,	PUNCT
ejpam-4774	186	63	t	t	PROPN
ejpam-4774	186	64	)	)	PUNCT
ejpam-4774	186	65	=	=	SYM
ejpam-4774	187	1	0	0	X
ejpam-4774	187	2	.	.	PUNCT
ejpam-4774	188	1	(	(	PUNCT
ejpam-4774	188	2	14	14	NUM
ejpam-4774	188	3	)	)	PUNCT
ejpam-4774	188	4	solution	solution	NOUN
ejpam-4774	188	5	.	.	PUNCT
ejpam-4774	189	1	to	to	PART
ejpam-4774	189	2	apply	apply	VERB
ejpam-4774	189	3	idara	idara	NOUN
ejpam-4774	189	4	-	-	PUNCT
ejpam-4774	189	5	st	st	PROPN
ejpam-4774	189	6	method	method	NOUN
ejpam-4774	189	7	,	,	PUNCT
ejpam-4774	189	8	we	we	PRON
ejpam-4774	189	9	operate	operate	VERB
ejpam-4774	189	10	dara	dara	PROPN
ejpam-4774	189	11	-	-	PUNCT
ejpam-4774	189	12	st	st	PROPN
ejpam-4774	189	13	to	to	PART
ejpam-4774	189	14	(	(	PUNCT
ejpam-4774	189	15	13	13	NUM
ejpam-4774	189	16	)	)	PUNCT
ejpam-4774	189	17	,	,	PUNCT
ejpam-4774	189	18	thus	thus	ADV
ejpam-4774	189	19	we	we	PRON
ejpam-4774	189	20	get	get	VERB
ejpam-4774	189	21	gxst	gxst	NOUN
ejpam-4774	190	1	[	[	X
ejpam-4774	190	2	ϕt	ϕt	INTJ
ejpam-4774	190	3	(	(	PUNCT
ejpam-4774	190	4	x	x	X
ejpam-4774	190	5	,	,	PUNCT
ejpam-4774	190	6	t	t	PROPN
ejpam-4774	190	7	)	)	PUNCT
ejpam-4774	190	8	]	]	PUNCT
ejpam-4774	191	1	+	+	CCONJ
ejpam-4774	191	2	gxst	gxst	X
ejpam-4774	192	1	[	[	X
ejpam-4774	192	2	ϕ	ϕ	X
ejpam-4774	192	3	(	(	PUNCT
ejpam-4774	192	4	x	x	X
ejpam-4774	192	5	,	,	PUNCT
ejpam-4774	192	6	t)ϕx	t)ϕx	PROPN
ejpam-4774	192	7	(	(	PUNCT
ejpam-4774	192	8	x	x	PROPN
ejpam-4774	192	9	,	,	PUNCT
ejpam-4774	192	10	t	t	PROPN
ejpam-4774	192	11	)	)	PUNCT
ejpam-4774	192	12	]	]	PUNCT
ejpam-4774	193	1	=	=	PUNCT
ejpam-4774	193	2	gxst	gxst	NOUN
ejpam-4774	194	1	[	[	X
ejpam-4774	194	2	2t+	2t+	NUM
ejpam-4774	194	3	x	x	X
ejpam-4774	194	4	]	]	X
ejpam-4774	194	5	+	+	NUM
ejpam-4774	194	6	gxst	gxst	NOUN
ejpam-4774	194	7	[	[	PUNCT
ejpam-4774	194	8	t3	t3	NOUN
ejpam-4774	194	9	+	+	CCONJ
ejpam-4774	194	10	xt2	xt2	PROPN
ejpam-4774	194	11	]	]	PUNCT
ejpam-4774	194	12	.	.	PUNCT
ejpam-4774	195	1	(	(	PUNCT
ejpam-4774	195	2	15	15	X
ejpam-4774	195	3	)	)	PUNCT
ejpam-4774	195	4	running	run	VERB
ejpam-4774	195	5	dara	dara	PROPN
ejpam-4774	195	6	-	-	PUNCT
ejpam-4774	195	7	st	st	PROPN
ejpam-4774	195	8	on	on	ADP
ejpam-4774	195	9	equation	equation	NOUN
ejpam-4774	195	10	(	(	PUNCT
ejpam-4774	195	11	15	15	NUM
ejpam-4774	195	12	)	)	PUNCT
ejpam-4774	195	13	and	and	CCONJ
ejpam-4774	195	14	using	use	VERB
ejpam-4774	195	15	condition	condition	NOUN
ejpam-4774	195	16	(	(	PUNCT
ejpam-4774	195	17	14	14	NUM
ejpam-4774	195	18	)	)	PUNCT
ejpam-4774	195	19	and	and	CCONJ
ejpam-4774	195	20	the	the	DET
ejpam-4774	195	21	results	result	NOUN
ejpam-4774	195	22	in	in	ADP
ejpam-4774	195	23	theorem	theorem	NOUN
ejpam-4774	195	24	2	2	NUM
ejpam-4774	195	25	,	,	PUNCT
ejpam-4774	195	26	we	we	PRON
ejpam-4774	195	27	get	get	VERB
ejpam-4774	195	28	after	after	ADP
ejpam-4774	195	29	simple	simple	ADJ
ejpam-4774	195	30	computations	computation	NOUN
ejpam-4774	195	31	φ	φ	X
ejpam-4774	195	32	(	(	PUNCT
ejpam-4774	195	33	s	s	PROPN
ejpam-4774	195	34	,	,	PUNCT
ejpam-4774	195	35	u	u	NOUN
ejpam-4774	195	36	)	)	PUNCT
ejpam-4774	195	37	=	=	SYM
ejpam-4774	196	1	2u2	2u2	NUM
ejpam-4774	197	1	+	+	CCONJ
ejpam-4774	197	2	u	u	NOUN
ejpam-4774	197	3	s	s	PART
ejpam-4774	197	4	+	+	X
ejpam-4774	197	5	ugxst	ugxst	ADJ
ejpam-4774	197	6	[	[	PUNCT
ejpam-4774	197	7	t3	t3	NOUN
ejpam-4774	197	8	+	+	CCONJ
ejpam-4774	197	9	xt2	xt2	PROPN
ejpam-4774	197	10	−	−	PROPN
ejpam-4774	197	11	ϕ	ϕ	PROPN
ejpam-4774	197	12	(	(	PUNCT
ejpam-4774	197	13	x	x	X
ejpam-4774	197	14	,	,	PUNCT
ejpam-4774	197	15	t)ϕx	t)ϕx	PROPN
ejpam-4774	197	16	(	(	PUNCT
ejpam-4774	197	17	x	x	PROPN
ejpam-4774	197	18	,	,	PUNCT
ejpam-4774	197	19	t	t	PROPN
ejpam-4774	197	20	)	)	PUNCT
ejpam-4774	197	21	]	]	PUNCT
ejpam-4774	197	22	.	.	PUNCT
ejpam-4774	198	1	(	(	PUNCT
ejpam-4774	198	2	16	16	NUM
ejpam-4774	198	3	)	)	PUNCT
ejpam-4774	198	4	running	run	VERB
ejpam-4774	198	5	the	the	DET
ejpam-4774	198	6	inverse	inverse	NOUN
ejpam-4774	198	7	transform	transform	NOUN
ejpam-4774	198	8	g−1	g−1	PROPN
ejpam-4774	198	9	x	x	PUNCT
ejpam-4774	198	10	s−1	s−1	PROPN
ejpam-4774	198	11	t	t	PROPN
ejpam-4774	198	12	on	on	ADP
ejpam-4774	198	13	(	(	PUNCT
ejpam-4774	198	14	16	16	NUM
ejpam-4774	198	15	)	)	PUNCT
ejpam-4774	198	16	,	,	PUNCT
ejpam-4774	198	17	we	we	PRON
ejpam-4774	198	18	have	have	VERB
ejpam-4774	198	19	ϕ	ϕ	NOUN
ejpam-4774	198	20	(	(	PUNCT
ejpam-4774	198	21	x	x	NOUN
ejpam-4774	198	22	,	,	PUNCT
ejpam-4774	198	23	t	t	PROPN
ejpam-4774	198	24	)	)	PUNCT
ejpam-4774	198	25	=	=	SYM
ejpam-4774	198	26	t2	t2	PROPN
ejpam-4774	198	27	+	+	CCONJ
ejpam-4774	198	28	xt+	xt+	NOUN
ejpam-4774	199	1	g−1	g−1	PROPN
ejpam-4774	199	2	x	x	PUNCT
ejpam-4774	200	1	s−1	s−1	PROPN
ejpam-4774	200	2	t	t	PROPN
ejpam-4774	200	3	[	[	PUNCT
ejpam-4774	200	4	ugxst	ugxst	NOUN
ejpam-4774	200	5	[	[	PUNCT
ejpam-4774	200	6	t3	t3	NOUN
ejpam-4774	200	7	+	+	CCONJ
ejpam-4774	200	8	xt2	xt2	PROPN
ejpam-4774	200	9	−	−	PROPN
ejpam-4774	200	10	ϕ	ϕ	PROPN
ejpam-4774	200	11	(	(	PUNCT
ejpam-4774	200	12	x	x	X
ejpam-4774	200	13	,	,	PUNCT
ejpam-4774	200	14	t)ϕx	t)ϕx	PROPN
ejpam-4774	200	15	(	(	PUNCT
ejpam-4774	200	16	x	x	PROPN
ejpam-4774	200	17	,	,	PUNCT
ejpam-4774	200	18	t	t	PROPN
ejpam-4774	200	19	)	)	PUNCT
ejpam-4774	200	20	]	]	PUNCT
ejpam-4774	200	21	]	]	PUNCT
ejpam-4774	200	22	.	.	PUNCT
ejpam-4774	201	1	(	(	PUNCT
ejpam-4774	201	2	17	17	NUM
ejpam-4774	201	3	)	)	PUNCT
ejpam-4774	201	4	now	now	ADV
ejpam-4774	201	5	,	,	PUNCT
ejpam-4774	201	6	applying	apply	VERB
ejpam-4774	201	7	the	the	DET
ejpam-4774	201	8	iterative	iterative	NOUN
ejpam-4774	201	9	method	method	NOUN
ejpam-4774	201	10	,	,	PUNCT
ejpam-4774	201	11	we	we	PRON
ejpam-4774	201	12	substitute	substitute	VERB
ejpam-4774	201	13	(	(	PUNCT
ejpam-4774	201	14	11	11	NUM
ejpam-4774	201	15	)	)	PUNCT
ejpam-4774	201	16	in	in	ADP
ejpam-4774	201	17	(	(	PUNCT
ejpam-4774	201	18	17	17	NUM
ejpam-4774	201	19	)	)	PUNCT
ejpam-4774	201	20	,	,	PUNCT
ejpam-4774	201	21	thus	thus	ADV
ejpam-4774	201	22	we	we	PRON
ejpam-4774	201	23	use	use	VERB
ejpam-4774	201	24	the	the	DET
ejpam-4774	201	25	equations	equation	NOUN
ejpam-4774	201	26	in	in	ADP
ejpam-4774	201	27	(	(	PUNCT
ejpam-4774	201	28	12	12	NUM
ejpam-4774	201	29	)	)	PUNCT
ejpam-4774	201	30	.	.	PUNCT
ejpam-4774	202	1	following	follow	VERB
ejpam-4774	202	2	that	that	PRON
ejpam-4774	202	3	,	,	PUNCT
ejpam-4774	202	4	we	we	PRON
ejpam-4774	202	5	get	get	VERB
ejpam-4774	202	6	the	the	DET
ejpam-4774	202	7	components	component	NOUN
ejpam-4774	202	8	of	of	ADP
ejpam-4774	202	9	the	the	DET
ejpam-4774	202	10	solution	solution	NOUN
ejpam-4774	202	11	as	as	ADP
ejpam-4774	202	12	ϕ0	ϕ0	NOUN
ejpam-4774	202	13	(	(	PUNCT
ejpam-4774	202	14	x	x	X
ejpam-4774	202	15	,	,	PUNCT
ejpam-4774	202	16	t	t	PROPN
ejpam-4774	202	17	)	)	PUNCT
ejpam-4774	202	18	=	=	SYM
ejpam-4774	202	19	t2	t2	PROPN
ejpam-4774	202	20	+	+	CCONJ
ejpam-4774	202	21	xt	xt	X
ejpam-4774	202	22	,	,	PUNCT
ejpam-4774	202	23	ϕ1	ϕ1	NOUN
ejpam-4774	202	24	(	(	PUNCT
ejpam-4774	202	25	x	x	NOUN
ejpam-4774	202	26	,	,	PUNCT
ejpam-4774	202	27	t	t	PROPN
ejpam-4774	202	28	)	)	PUNCT
ejpam-4774	202	29	=	=	PUNCT
ejpam-4774	203	1	g−1	g−1	PROPN
ejpam-4774	203	2	x	x	X
ejpam-4774	203	3	s−1	s−1	PROPN
ejpam-4774	203	4	t	t	PROPN
ejpam-4774	203	5	[	[	PUNCT
ejpam-4774	203	6	ugxst	ugxst	NOUN
ejpam-4774	203	7	[	[	PUNCT
ejpam-4774	203	8	t3	t3	NOUN
ejpam-4774	203	9	+	+	CCONJ
ejpam-4774	203	10	xt2	xt2	PROPN
ejpam-4774	203	11	−	−	PROPN
ejpam-4774	203	12	ϕ0	ϕ0	PROPN
ejpam-4774	203	13	(	(	PUNCT
ejpam-4774	203	14	x	x	PROPN
ejpam-4774	203	15	,	,	PUNCT
ejpam-4774	203	16	t	t	PROPN
ejpam-4774	203	17	)	)	PUNCT
ejpam-4774	203	18	∂ϕ0	∂ϕ0	PROPN
ejpam-4774	203	19	(	(	PUNCT
ejpam-4774	203	20	x	x	NOUN
ejpam-4774	203	21	,	,	PUNCT
ejpam-4774	203	22	t	t	PROPN
ejpam-4774	203	23	)	)	PUNCT
ejpam-4774	203	24	∂x	∂x	PROPN
ejpam-4774	203	25	]	]	X
ejpam-4774	203	26	]	]	X
ejpam-4774	203	27	=	=	SYM
ejpam-4774	203	28	0	0	NUM
ejpam-4774	203	29	,	,	PUNCT
ejpam-4774	203	30	ϕ2	ϕ2	ADV
ejpam-4774	203	31	(	(	PUNCT
ejpam-4774	203	32	x	x	NOUN
ejpam-4774	203	33	,	,	PUNCT
ejpam-4774	203	34	t	t	PROPN
ejpam-4774	203	35	)	)	PUNCT
ejpam-4774	203	36	=	=	PUNCT
ejpam-4774	204	1	g−1	g−1	PROPN
ejpam-4774	204	2	x	x	X
ejpam-4774	204	3	s−1	s−1	PROPN
ejpam-4774	204	4	t	t	PROPN
ejpam-4774	204	5	[	[	PUNCT
ejpam-4774	204	6	ugxst	ugxst	NOUN
ejpam-4774	204	7	[	[	PUNCT
ejpam-4774	204	8	(	(	PUNCT
ejpam-4774	204	9	ϕ0	ϕ0	NOUN
ejpam-4774	204	10	(	(	PUNCT
ejpam-4774	204	11	x	x	PROPN
ejpam-4774	204	12	,	,	PUNCT
ejpam-4774	204	13	t	t	PROPN
ejpam-4774	204	14	)	)	PUNCT
ejpam-4774	204	15	+	+	NUM
ejpam-4774	204	16	ϕ1	ϕ1	NOUN
ejpam-4774	204	17	(	(	PUNCT
ejpam-4774	204	18	x	x	NOUN
ejpam-4774	204	19	,	,	PUNCT
ejpam-4774	204	20	t	t	PROPN
ejpam-4774	204	21	)	)	PUNCT
ejpam-4774	204	22	)	)	PUNCT
ejpam-4774	204	23	∂	∂	NUM
ejpam-4774	204	24	(	(	PUNCT
ejpam-4774	204	25	ϕ0	ϕ0	PROPN
ejpam-4774	204	26	(	(	PUNCT
ejpam-4774	204	27	x	x	PROPN
ejpam-4774	204	28	,	,	PUNCT
ejpam-4774	204	29	t	t	PROPN
ejpam-4774	204	30	)	)	PUNCT
ejpam-4774	204	31	+	+	NUM
ejpam-4774	204	32	ϕ1	ϕ1	NOUN
ejpam-4774	204	33	(	(	PUNCT
ejpam-4774	204	34	x	x	NOUN
ejpam-4774	204	35	,	,	PUNCT
ejpam-4774	204	36	t	t	PROPN
ejpam-4774	204	37	)	)	PUNCT
ejpam-4774	204	38	)	)	PUNCT
ejpam-4774	205	1	∂x	∂x	PROPN
ejpam-4774	205	2	−	−	PROPN
ejpam-4774	205	3	ϕ0	ϕ0	NOUN
ejpam-4774	205	4	(	(	PUNCT
ejpam-4774	205	5	x	x	PROPN
ejpam-4774	205	6	,	,	PUNCT
ejpam-4774	205	7	t	t	PROPN
ejpam-4774	205	8	)	)	PUNCT
ejpam-4774	205	9	∂ϕ0	∂ϕ0	PROPN
ejpam-4774	205	10	(	(	PUNCT
ejpam-4774	205	11	x	x	NOUN
ejpam-4774	205	12	,	,	PUNCT
ejpam-4774	205	13	t	t	PROPN
ejpam-4774	205	14	)	)	PUNCT
ejpam-4774	205	15	∂x	∂x	PROPN
ejpam-4774	205	16	]	]	X
ejpam-4774	205	17	]	]	X
ejpam-4774	205	18	=	=	PUNCT
ejpam-4774	205	19	0	0	X
ejpam-4774	205	20	.	.	PUNCT
ejpam-4774	206	1	(	(	PUNCT
ejpam-4774	206	2	18	18	NUM
ejpam-4774	206	3	)	)	PUNCT
ejpam-4774	206	4	as	as	ADP
ejpam-4774	206	5	a	a	DET
ejpam-4774	206	6	result	result	NOUN
ejpam-4774	206	7	,	,	PUNCT
ejpam-4774	206	8	we	we	PRON
ejpam-4774	206	9	have	have	VERB
ejpam-4774	206	10	the	the	DET
ejpam-4774	206	11	solution	solution	NOUN
ejpam-4774	206	12	of	of	ADP
ejpam-4774	206	13	equation	equation	NOUN
ejpam-4774	206	14	(	(	PUNCT
ejpam-4774	206	15	13	13	NUM
ejpam-4774	206	16	)	)	PUNCT
ejpam-4774	206	17	as	as	SCONJ
ejpam-4774	206	18	follows	follow	VERB
ejpam-4774	206	19	ϕ	ϕ	X
ejpam-4774	206	20	(	(	PUNCT
ejpam-4774	206	21	x	x	PROPN
ejpam-4774	206	22	,	,	PUNCT
ejpam-4774	206	23	t	t	PROPN
ejpam-4774	206	24	)	)	PUNCT
ejpam-4774	206	25	=	=	SYM
ejpam-4774	206	26	t2	t2	PROPN
ejpam-4774	206	27	+	+	CCONJ
ejpam-4774	206	28	xt	xt	X
ejpam-4774	206	29	.	.	PUNCT
ejpam-4774	207	1	(	(	PUNCT
ejpam-4774	207	2	19	19	NUM
ejpam-4774	207	3	)	)	PUNCT
ejpam-4774	207	4	figure	figure	NOUN
ejpam-4774	207	5	1	1	NUM
ejpam-4774	207	6	below	below	ADV
ejpam-4774	207	7	,	,	PUNCT
ejpam-4774	207	8	shows	show	VERB
ejpam-4774	207	9	the	the	DET
ejpam-4774	207	10	3d	3d	NOUN
ejpam-4774	207	11	graph	graph	NOUN
ejpam-4774	207	12	of	of	ADP
ejpam-4774	207	13	the	the	DET
ejpam-4774	207	14	exact	exact	ADJ
ejpam-4774	207	15	solution	solution	NOUN
ejpam-4774	207	16	of	of	ADP
ejpam-4774	207	17	problem	problem	NOUN
ejpam-4774	207	18	(	(	PUNCT
ejpam-4774	207	19	13	13	NUM
ejpam-4774	207	20	)	)	PUNCT
ejpam-4774	207	21	and	and	CCONJ
ejpam-4774	207	22	(	(	PUNCT
ejpam-4774	207	23	14	14	NUM
ejpam-4774	207	24	)	)	PUNCT
ejpam-4774	207	25	.	.	PUNCT
ejpam-4774	208	1	a.	a.	PROPN
ejpam-4774	208	2	qazza	qazza	PROPN
ejpam-4774	208	3	et	et	PROPN
ejpam-4774	208	4	al	al	PROPN
ejpam-4774	208	5	.	.	PUNCT
ejpam-4774	208	6	/	/	SYM
ejpam-4774	208	7	eur	eur	PROPN
ejpam-4774	208	8	.	.	PUNCT
ejpam-4774	209	1	j.	j.	PROPN
ejpam-4774	209	2	pure	pure	PROPN
ejpam-4774	209	3	appl	appl	PROPN
ejpam-4774	209	4	.	.	PROPN
ejpam-4774	209	5	math	math	PROPN
ejpam-4774	209	6	,	,	PUNCT
ejpam-4774	209	7	16	16	NUM
ejpam-4774	209	8	(	(	PUNCT
ejpam-4774	209	9	2	2	NUM
ejpam-4774	209	10	)	)	PUNCT
ejpam-4774	209	11	(	(	PUNCT
ejpam-4774	209	12	2023	2023	NUM
ejpam-4774	209	13	)	)	PUNCT
ejpam-4774	209	14	,	,	PUNCT
ejpam-4774	209	15	1274	1274	NUM
ejpam-4774	209	16	-	-	SYM
ejpam-4774	209	17	1289	1289	NUM
ejpam-4774	209	18	1282	1282	NUM
ejpam-4774	209	19	figure	figure	NOUN
ejpam-4774	209	20	1	1	NUM
ejpam-4774	209	21	:	:	PUNCT
ejpam-4774	209	22	exact	exact	ADJ
ejpam-4774	209	23	solution	solution	NOUN
ejpam-4774	209	24	ϕ	ϕ	X
ejpam-4774	209	25	(	(	PUNCT
ejpam-4774	209	26	x	x	PROPN
ejpam-4774	209	27	,	,	PUNCT
ejpam-4774	209	28	t	t	PROPN
ejpam-4774	209	29	)	)	PUNCT
ejpam-4774	209	30	of	of	ADP
ejpam-4774	209	31	problem	problem	NOUN
ejpam-4774	209	32	1	1	NUM
ejpam-4774	209	33	.	.	PUNCT
ejpam-4774	209	34	problem	problem	NOUN
ejpam-4774	209	35	2	2	NUM
ejpam-4774	209	36	.	.	PUNCT
ejpam-4774	209	37	consider	consider	VERB
ejpam-4774	209	38	the	the	DET
ejpam-4774	209	39	nonlinear	nonlinear	ADJ
ejpam-4774	209	40	wave	wave	NOUN
ejpam-4774	209	41	equation	equation	NOUN
ejpam-4774	209	42	ϕtt	ϕtt	INTJ
ejpam-4774	209	43	(	(	PUNCT
ejpam-4774	209	44	x	x	X
ejpam-4774	209	45	,	,	PUNCT
ejpam-4774	209	46	t)−	t)−	PROPN
ejpam-4774	209	47	ϕxx	ϕxx	INTJ
ejpam-4774	209	48	(	(	PUNCT
ejpam-4774	209	49	x	x	NOUN
ejpam-4774	209	50	,	,	PUNCT
ejpam-4774	209	51	t	t	PROPN
ejpam-4774	209	52	)	)	PUNCT
ejpam-4774	210	1	+	+	CCONJ
ejpam-4774	210	2	(	(	PUNCT
ejpam-4774	210	3	ϕ	ϕ	X
ejpam-4774	210	4	(	(	PUNCT
ejpam-4774	210	5	x	x	NOUN
ejpam-4774	210	6	,	,	PUNCT
ejpam-4774	210	7	t)ϕx	t)ϕx	PROPN
ejpam-4774	210	8	(	(	PUNCT
ejpam-4774	210	9	x	x	NOUN
ejpam-4774	210	10	,	,	PUNCT
ejpam-4774	210	11	t))t	t))t	NOUN
ejpam-4774	210	12	=	=	SYM
ejpam-4774	210	13	2e−t	2e−t	NUM
ejpam-4774	210	14	sinx−	sinx−	PROPN
ejpam-4774	210	15	2e−2	2e−2	NUM
ejpam-4774	210	16	t	t	PROPN
ejpam-4774	210	17	sinx	sinx	PROPN
ejpam-4774	210	18	cosx	cosx	PROPN
ejpam-4774	210	19	,	,	PUNCT
ejpam-4774	210	20	(	(	PUNCT
ejpam-4774	210	21	20	20	NUM
ejpam-4774	210	22	)	)	PUNCT
ejpam-4774	210	23	with	with	ADP
ejpam-4774	210	24	the	the	DET
ejpam-4774	210	25	initial	initial	ADJ
ejpam-4774	210	26	conditions	condition	NOUN
ejpam-4774	210	27	ϕ	ϕ	X
ejpam-4774	210	28	(	(	PUNCT
ejpam-4774	210	29	x	x	X
ejpam-4774	210	30	,	,	PUNCT
ejpam-4774	210	31	0	0	NUM
ejpam-4774	210	32	)	)	PUNCT
ejpam-4774	210	33	=	=	SYM
ejpam-4774	210	34	sinx	sinx	NOUN
ejpam-4774	210	35	,	,	PUNCT
ejpam-4774	210	36	ϕt	ϕt	INTJ
ejpam-4774	210	37	(	(	PUNCT
ejpam-4774	210	38	x	x	NOUN
ejpam-4774	210	39	,	,	PUNCT
ejpam-4774	210	40	t	t	PROPN
ejpam-4774	210	41	)	)	PUNCT
ejpam-4774	210	42	=	=	SYM
ejpam-4774	210	43	−	−	PROPN
ejpam-4774	210	44	sinx	sinx	NOUN
ejpam-4774	210	45	,	,	PUNCT
ejpam-4774	210	46	(	(	PUNCT
ejpam-4774	210	47	21	21	NUM
ejpam-4774	210	48	)	)	PUNCT
ejpam-4774	210	49	and	and	CCONJ
ejpam-4774	210	50	the	the	DET
ejpam-4774	210	51	boundary	boundary	ADJ
ejpam-4774	210	52	conditions	condition	NOUN
ejpam-4774	210	53	ϕ	ϕ	X
ejpam-4774	210	54	(	(	PUNCT
ejpam-4774	210	55	0	0	NUM
ejpam-4774	210	56	,	,	PUNCT
ejpam-4774	210	57	t	t	PROPN
ejpam-4774	210	58	)	)	PUNCT
ejpam-4774	210	59	=	=	SYM
ejpam-4774	210	60	0	0	NUM
ejpam-4774	210	61	,	,	PUNCT
ejpam-4774	210	62	ϕx	ϕx	INTJ
ejpam-4774	210	63	(	(	PUNCT
ejpam-4774	210	64	0	0	NUM
ejpam-4774	210	65	,	,	PUNCT
ejpam-4774	210	66	t	t	NOUN
ejpam-4774	210	67	)	)	PUNCT
ejpam-4774	210	68	=	=	SYM
ejpam-4774	210	69	e−t	e−t	NOUN
ejpam-4774	210	70	.	.	PUNCT
ejpam-4774	211	1	(	(	PUNCT
ejpam-4774	211	2	22	22	NUM
ejpam-4774	211	3	)	)	PUNCT
ejpam-4774	211	4	solution	solution	NOUN
ejpam-4774	211	5	.	.	PUNCT
ejpam-4774	212	1	to	to	PART
ejpam-4774	212	2	apply	apply	VERB
ejpam-4774	212	3	idara	idara	NOUN
ejpam-4774	212	4	-	-	PUNCT
ejpam-4774	212	5	st	st	PROPN
ejpam-4774	212	6	method	method	NOUN
ejpam-4774	212	7	,	,	PUNCT
ejpam-4774	212	8	apply	apply	VERB
ejpam-4774	212	9	dara	dara	PROPN
ejpam-4774	212	10	-	-	PUNCT
ejpam-4774	212	11	st	st	PROPN
ejpam-4774	212	12	to	to	PART
ejpam-4774	212	13	equation	equation	NOUN
ejpam-4774	212	14	(	(	PUNCT
ejpam-4774	212	15	20	20	NUM
ejpam-4774	212	16	)	)	PUNCT
ejpam-4774	212	17	and	and	CCONJ
ejpam-4774	212	18	arat	arat	PROPN
ejpam-4774	212	19	to	to	PART
ejpam-4774	212	20	(	(	PUNCT
ejpam-4774	212	21	21	21	NUM
ejpam-4774	212	22	)	)	PUNCT
ejpam-4774	212	23	and	and	CCONJ
ejpam-4774	212	24	st	st	X
ejpam-4774	212	25	to	to	PART
ejpam-4774	212	26	(	(	PUNCT
ejpam-4774	212	27	22	22	NUM
ejpam-4774	212	28	)	)	PUNCT
ejpam-4774	212	29	,	,	PUNCT
ejpam-4774	212	30	we	we	PRON
ejpam-4774	212	31	get	get	VERB
ejpam-4774	212	32	gxst	gxst	NOUN
ejpam-4774	213	1	[	[	X
ejpam-4774	213	2	ϕtt	ϕtt	INTJ
ejpam-4774	213	3	(	(	PUNCT
ejpam-4774	213	4	x	x	NOUN
ejpam-4774	213	5	,	,	PUNCT
ejpam-4774	213	6	t)]−	t)]−	PRON
ejpam-4774	213	7	gxst	gxst	VERB
ejpam-4774	214	1	[	[	X
ejpam-4774	214	2	ϕxx	ϕxx	INTJ
ejpam-4774	214	3	(	(	PUNCT
ejpam-4774	214	4	x	x	NOUN
ejpam-4774	214	5	,	,	PUNCT
ejpam-4774	214	6	t	t	PROPN
ejpam-4774	214	7	)	)	PUNCT
ejpam-4774	214	8	]	]	PUNCT
ejpam-4774	215	1	+	+	CCONJ
ejpam-4774	215	2	gxst	gxst	X
ejpam-4774	215	3	[	[	X
ejpam-4774	215	4	(	(	PUNCT
ejpam-4774	215	5	ϕ	ϕ	X
ejpam-4774	215	6	(	(	PUNCT
ejpam-4774	215	7	x	x	NOUN
ejpam-4774	215	8	,	,	PUNCT
ejpam-4774	215	9	t)ϕx	t)ϕx	PROPN
ejpam-4774	215	10	(	(	PUNCT
ejpam-4774	215	11	x	x	NOUN
ejpam-4774	215	12	,	,	PUNCT
ejpam-4774	215	13	t))t	t))t	NOUN
ejpam-4774	215	14	]	]	PUNCT
ejpam-4774	215	15	=	=	SYM
ejpam-4774	215	16	2	2	X
ejpam-4774	215	17	(	(	PUNCT
ejpam-4774	215	18	s2	s2	NOUN
ejpam-4774	215	19	+	+	CCONJ
ejpam-4774	215	20	1	1	NUM
ejpam-4774	215	21	)	)	PUNCT
ejpam-4774	215	22	(	(	PUNCT
ejpam-4774	215	23	1	1	NUM
ejpam-4774	215	24	+	+	NUM
ejpam-4774	215	25	u	u	NOUN
ejpam-4774	215	26	)	)	PUNCT
ejpam-4774	215	27	−	−	PROPN
ejpam-4774	215	28	gxst	gxst	NOUN
ejpam-4774	215	29	[	[	PUNCT
ejpam-4774	215	30	2e−2	2e−2	PROPN
ejpam-4774	215	31	t	t	PROPN
ejpam-4774	215	32	sinx	sinx	X
ejpam-4774	215	33	cosx	cosx	PROPN
ejpam-4774	215	34	]	]	PUNCT
ejpam-4774	215	35	,	,	PUNCT
ejpam-4774	215	36	(	(	PUNCT
ejpam-4774	215	37	23	23	NUM
ejpam-4774	215	38	)	)	PUNCT
ejpam-4774	215	39	the	the	DET
ejpam-4774	215	40	results	result	NOUN
ejpam-4774	215	41	in	in	ADP
ejpam-4774	215	42	theorem	theorem	NOUN
ejpam-4774	215	43	2	2	NUM
ejpam-4774	215	44	,	,	PUNCT
ejpam-4774	215	45	and	and	CCONJ
ejpam-4774	215	46	the	the	DET
ejpam-4774	215	47	linearity	linearity	NOUN
ejpam-4774	215	48	property	property	NOUN
ejpam-4774	215	49	,	,	PUNCT
ejpam-4774	215	50	imply	imply	VERB
ejpam-4774	215	51	that	that	SCONJ
ejpam-4774	215	52	equation	equation	NOUN
ejpam-4774	215	53	(	(	PUNCT
ejpam-4774	215	54	23	23	NUM
ejpam-4774	215	55	)	)	PUNCT
ejpam-4774	215	56	becomes	become	VERB
ejpam-4774	215	57	1	1	NUM
ejpam-4774	215	58	u2	u2	PROPN
ejpam-4774	215	59	φ	φ	PROPN
ejpam-4774	215	60	(	(	PUNCT
ejpam-4774	215	61	s	s	PROPN
ejpam-4774	215	62	,	,	PUNCT
ejpam-4774	215	63	u)−	u)−	PROPN
ejpam-4774	215	64	1	1	NUM
ejpam-4774	215	65	u2	u2	PROPN
ejpam-4774	215	66	gx	gx	PROPN
ejpam-4774	216	1	[	[	X
ejpam-4774	216	2	ϕ	ϕ	X
ejpam-4774	216	3	(	(	PUNCT
ejpam-4774	216	4	x	x	X
ejpam-4774	216	5	,	,	PUNCT
ejpam-4774	216	6	0)]−	0)]−	NUM
ejpam-4774	216	7	1	1	NUM
ejpam-4774	216	8	u	u	NOUN
ejpam-4774	216	9	gx	gx	PROPN
ejpam-4774	217	1	[	[	X
ejpam-4774	217	2	ϕt	ϕt	INTJ
ejpam-4774	217	3	(	(	PUNCT
ejpam-4774	217	4	x	x	X
ejpam-4774	217	5	,	,	PUNCT
ejpam-4774	217	6	0)]−	0)]−	NUM
ejpam-4774	217	7	s2φ	s2φ	X
ejpam-4774	217	8	(	(	PUNCT
ejpam-4774	217	9	s	s	X
ejpam-4774	217	10	,	,	PUNCT
ejpam-4774	217	11	u	u	NOUN
ejpam-4774	217	12	)	)	PUNCT
ejpam-4774	217	13	+	+	CCONJ
ejpam-4774	217	14	s2st	s2st	X
ejpam-4774	218	1	[	[	X
ejpam-4774	218	2	ϕ	ϕ	X
ejpam-4774	218	3	(	(	PUNCT
ejpam-4774	218	4	0	0	NUM
ejpam-4774	218	5	,	,	PUNCT
ejpam-4774	218	6	t	t	PROPN
ejpam-4774	218	7	)	)	PUNCT
ejpam-4774	218	8	]	]	PUNCT
ejpam-4774	219	1	+	+	CCONJ
ejpam-4774	219	2	sst	sst	NOUN
ejpam-4774	219	3	[	[	X
ejpam-4774	219	4	ϕx	ϕx	INTJ
ejpam-4774	219	5	(	(	PUNCT
ejpam-4774	219	6	0	0	NUM
ejpam-4774	219	7	,	,	PUNCT
ejpam-4774	219	8	t	t	PROPN
ejpam-4774	219	9	)	)	PUNCT
ejpam-4774	219	10	]	]	PUNCT
ejpam-4774	220	1	+	+	CCONJ
ejpam-4774	220	2	gxst	gxst	X
ejpam-4774	220	3	[	[	X
ejpam-4774	220	4	(	(	PUNCT
ejpam-4774	220	5	ϕ	ϕ	X
ejpam-4774	220	6	(	(	PUNCT
ejpam-4774	220	7	x	x	NOUN
ejpam-4774	220	8	,	,	PUNCT
ejpam-4774	220	9	t)ϕx	t)ϕx	PROPN
ejpam-4774	220	10	(	(	PUNCT
ejpam-4774	220	11	x	x	NOUN
ejpam-4774	220	12	,	,	PUNCT
ejpam-4774	220	13	t))t	t))t	NOUN
ejpam-4774	220	14	]	]	PUNCT
ejpam-4774	220	15	=	=	PUNCT
ejpam-4774	220	16	gxst	gxst	NOUN
ejpam-4774	220	17	[	[	PUNCT
ejpam-4774	220	18	2e−t	2e−t	NUM
ejpam-4774	220	19	sinx	sinx	X
ejpam-4774	220	20	]	]	PUNCT
ejpam-4774	221	1	−	−	PROPN
ejpam-4774	221	2	gxst	gxst	PROPN
ejpam-4774	221	3	[	[	PUNCT
ejpam-4774	221	4	2e−2	2e−2	PROPN
ejpam-4774	221	5	t	t	PROPN
ejpam-4774	221	6	sinx	sinx	X
ejpam-4774	221	7	cosx	cosx	PROPN
ejpam-4774	221	8	]	]	PUNCT
ejpam-4774	221	9	.	.	PUNCT
ejpam-4774	222	1	(	(	PUNCT
ejpam-4774	222	2	24	24	NUM
ejpam-4774	222	3	)	)	PUNCT
ejpam-4774	222	4	substituting	substitute	VERB
ejpam-4774	222	5	the	the	DET
ejpam-4774	222	6	values	value	NOUN
ejpam-4774	222	7	of	of	ADP
ejpam-4774	222	8	the	the	DET
ejpam-4774	222	9	conditions	condition	NOUN
ejpam-4774	222	10	(	(	PUNCT
ejpam-4774	222	11	21	21	NUM
ejpam-4774	222	12	)	)	PUNCT
ejpam-4774	222	13	and	and	CCONJ
ejpam-4774	222	14	(	(	PUNCT
ejpam-4774	222	15	22	22	NUM
ejpam-4774	222	16	)	)	PUNCT
ejpam-4774	222	17	and	and	CCONJ
ejpam-4774	222	18	running	run	VERB
ejpam-4774	222	19	dara	dara	PROPN
ejpam-4774	222	20	-	-	PUNCT
ejpam-4774	222	21	st	st	PROPN
ejpam-4774	222	22	on	on	ADP
ejpam-4774	222	23	(	(	PUNCT
ejpam-4774	222	24	24	24	NUM
ejpam-4774	222	25	)	)	PUNCT
ejpam-4774	222	26	with	with	ADP
ejpam-4774	222	27	simple	simple	ADJ
ejpam-4774	222	28	computations	computation	NOUN
ejpam-4774	222	29	,	,	PUNCT
ejpam-4774	222	30	one	one	PRON
ejpam-4774	222	31	can	can	AUX
ejpam-4774	222	32	get	get	VERB
ejpam-4774	222	33	φ	φ	PROPN
ejpam-4774	222	34	(	(	PUNCT
ejpam-4774	222	35	s	s	PROPN
ejpam-4774	222	36	,	,	PUNCT
ejpam-4774	222	37	u	u	NOUN
ejpam-4774	222	38	)	)	PUNCT
ejpam-4774	222	39	=	=	SYM
ejpam-4774	222	40	s	s	X
ejpam-4774	222	41	(	(	PUNCT
ejpam-4774	222	42	s2	s2	NOUN
ejpam-4774	222	43	+	+	CCONJ
ejpam-4774	222	44	1	1	NUM
ejpam-4774	222	45	)	)	PUNCT
ejpam-4774	222	46	(	(	PUNCT
ejpam-4774	222	47	1	1	NUM
ejpam-4774	222	48	+	+	NUM
ejpam-4774	222	49	u	u	NOUN
ejpam-4774	222	50	)	)	PUNCT
ejpam-4774	222	51	−	−	PROPN
ejpam-4774	222	52	u2	u2	PROPN
ejpam-4774	222	53	1−	1−	NUM
ejpam-4774	222	54	s2u2	s2u2	ADV
ejpam-4774	222	55	gxst	gxst	X
ejpam-4774	222	56	[	[	PUNCT
ejpam-4774	222	57	2e−2	2e−2	NUM
ejpam-4774	222	58	t	t	NOUN
ejpam-4774	222	59	sinx	sinx	NOUN
ejpam-4774	222	60	cosx+	cosx+	NOUN
ejpam-4774	222	61	(	(	PUNCT
ejpam-4774	222	62	ϕ	ϕ	X
ejpam-4774	222	63	(	(	PUNCT
ejpam-4774	222	64	x	x	NOUN
ejpam-4774	222	65	,	,	PUNCT
ejpam-4774	222	66	t)ϕx	t)ϕx	PROPN
ejpam-4774	222	67	(	(	PUNCT
ejpam-4774	222	68	x	x	NOUN
ejpam-4774	222	69	,	,	PUNCT
ejpam-4774	222	70	t))t	t))t	NOUN
ejpam-4774	222	71	]	]	PUNCT
ejpam-4774	222	72	.	.	PUNCT
ejpam-4774	223	1	(	(	PUNCT
ejpam-4774	223	2	25	25	NUM
ejpam-4774	223	3	)	)	PUNCT
ejpam-4774	223	4	a.	a.	NOUN
ejpam-4774	223	5	qazza	qazza	PROPN
ejpam-4774	223	6	et	et	PROPN
ejpam-4774	223	7	al	al	PROPN
ejpam-4774	223	8	.	.	PUNCT
ejpam-4774	223	9	/	/	SYM
ejpam-4774	223	10	eur	eur	PROPN
ejpam-4774	223	11	.	.	PUNCT
ejpam-4774	224	1	j.	j.	PROPN
ejpam-4774	224	2	pure	pure	PROPN
ejpam-4774	224	3	appl	appl	PROPN
ejpam-4774	224	4	.	.	PROPN
ejpam-4774	224	5	math	math	PROPN
ejpam-4774	224	6	,	,	PUNCT
ejpam-4774	224	7	16	16	NUM
ejpam-4774	224	8	(	(	PUNCT
ejpam-4774	224	9	2	2	NUM
ejpam-4774	224	10	)	)	PUNCT
ejpam-4774	224	11	(	(	PUNCT
ejpam-4774	224	12	2023	2023	NUM
ejpam-4774	224	13	)	)	PUNCT
ejpam-4774	224	14	,	,	PUNCT
ejpam-4774	224	15	1274	1274	NUM
ejpam-4774	224	16	-	-	SYM
ejpam-4774	224	17	1289	1289	NUM
ejpam-4774	224	18	1283	1283	NUM
ejpam-4774	224	19	operating	operate	VERB
ejpam-4774	224	20	the	the	DET
ejpam-4774	224	21	inverse	inverse	NOUN
ejpam-4774	224	22	transform	transform	NOUN
ejpam-4774	224	23	g−1	g−1	PROPN
ejpam-4774	224	24	x	x	PUNCT
ejpam-4774	224	25	s−1	s−1	PROPN
ejpam-4774	224	26	t	t	PROPN
ejpam-4774	224	27	on	on	ADP
ejpam-4774	224	28	(	(	PUNCT
ejpam-4774	224	29	25	25	NUM
ejpam-4774	224	30	)	)	PUNCT
ejpam-4774	224	31	,	,	PUNCT
ejpam-4774	224	32	we	we	PRON
ejpam-4774	224	33	have	have	VERB
ejpam-4774	224	34	ϕ	ϕ	NOUN
ejpam-4774	224	35	(	(	PUNCT
ejpam-4774	224	36	x	x	NOUN
ejpam-4774	224	37	,	,	PUNCT
ejpam-4774	224	38	t	t	PROPN
ejpam-4774	224	39	)	)	PUNCT
ejpam-4774	224	40	=	=	SYM
ejpam-4774	224	41	e−t	e−t	NOUN
ejpam-4774	224	42	sinx	sinx	NOUN
ejpam-4774	224	43	−	−	NOUN
ejpam-4774	225	1	g−1	g−1	PROPN
ejpam-4774	225	2	x	x	PUNCT
ejpam-4774	225	3	s−1	s−1	PROPN
ejpam-4774	225	4	t	t	PROPN
ejpam-4774	225	5	[	[	PUNCT
ejpam-4774	225	6	u2	u2	PROPN
ejpam-4774	225	7	1−	1−	NUM
ejpam-4774	225	8	s2u2	s2u2	ADV
ejpam-4774	225	9	gxst	gxst	X
ejpam-4774	225	10	[	[	PUNCT
ejpam-4774	225	11	2e−2	2e−2	NUM
ejpam-4774	225	12	t	t	NOUN
ejpam-4774	225	13	sinx	sinx	NOUN
ejpam-4774	225	14	cosx+	cosx+	NOUN
ejpam-4774	225	15	(	(	PUNCT
ejpam-4774	225	16	ϕ	ϕ	X
ejpam-4774	225	17	(	(	PUNCT
ejpam-4774	225	18	x	x	NOUN
ejpam-4774	225	19	,	,	PUNCT
ejpam-4774	225	20	t)ϕx	t)ϕx	PROPN
ejpam-4774	225	21	(	(	PUNCT
ejpam-4774	225	22	x	x	PROPN
ejpam-4774	225	23	,	,	PUNCT
ejpam-4774	225	24	t))t	t))t	NOUN
ejpam-4774	225	25	]	]	X
ejpam-4774	225	26	]	]	PUNCT
ejpam-4774	225	27	.	.	PUNCT
ejpam-4774	226	1	(	(	PUNCT
ejpam-4774	226	2	26	26	NUM
ejpam-4774	226	3	)	)	PUNCT
ejpam-4774	226	4	now	now	ADV
ejpam-4774	226	5	,	,	PUNCT
ejpam-4774	226	6	we	we	PRON
ejpam-4774	226	7	apply	apply	VERB
ejpam-4774	226	8	the	the	DET
ejpam-4774	226	9	iterative	iterative	NOUN
ejpam-4774	226	10	method	method	NOUN
ejpam-4774	226	11	,	,	PUNCT
ejpam-4774	226	12	with	with	ADP
ejpam-4774	226	13	same	same	ADJ
ejpam-4774	226	14	procedure	procedure	NOUN
ejpam-4774	226	15	of	of	ADP
ejpam-4774	226	16	problem	problem	NOUN
ejpam-4774	226	17	1	1	NUM
ejpam-4774	226	18	,	,	PUNCT
ejpam-4774	226	19	we	we	PRON
ejpam-4774	226	20	get	get	VERB
ejpam-4774	226	21	the	the	DET
ejpam-4774	226	22	following	follow	VERB
ejpam-4774	226	23	components	component	NOUN
ejpam-4774	226	24	of	of	ADP
ejpam-4774	226	25	the	the	DET
ejpam-4774	226	26	solution	solution	NOUN
ejpam-4774	226	27	ϕ0	ϕ0	NOUN
ejpam-4774	226	28	(	(	PUNCT
ejpam-4774	226	29	x	x	X
ejpam-4774	226	30	,	,	PUNCT
ejpam-4774	226	31	t	t	PROPN
ejpam-4774	226	32	)	)	PUNCT
ejpam-4774	226	33	=	=	SYM
ejpam-4774	226	34	e−t	e−t	NOUN
ejpam-4774	226	35	sinx	sinx	NOUN
ejpam-4774	226	36	,	,	PUNCT
ejpam-4774	226	37	ϕ1	ϕ1	PROPN
ejpam-4774	226	38	(	(	PUNCT
ejpam-4774	226	39	x	x	NOUN
ejpam-4774	226	40	,	,	PUNCT
ejpam-4774	226	41	t	t	PROPN
ejpam-4774	226	42	)	)	PUNCT
ejpam-4774	226	43	=	=	PUNCT
ejpam-4774	227	1	−g−1	−g−1	NOUN
ejpam-4774	227	2	x	x	X
ejpam-4774	227	3	s−1	s−1	PROPN
ejpam-4774	227	4	t	t	PROPN
ejpam-4774	227	5	[	[	PUNCT
ejpam-4774	227	6	u2	u2	PROPN
ejpam-4774	227	7	1−	1−	NUM
ejpam-4774	227	8	s2u2	s2u2	ADV
ejpam-4774	227	9	gxst	gxst	X
ejpam-4774	227	10	[	[	PUNCT
ejpam-4774	227	11	2e−2	2e−2	NUM
ejpam-4774	227	12	t	t	PROPN
ejpam-4774	227	13	sin	sin	NOUN
ejpam-4774	227	14	t	t	PROPN
ejpam-4774	227	15	cosx+	cosx+	NOUN
ejpam-4774	227	16	(	(	PUNCT
ejpam-4774	227	17	ϕ0	ϕ0	PROPN
ejpam-4774	227	18	(	(	PUNCT
ejpam-4774	227	19	x	x	X
ejpam-4774	227	20	,	,	PUNCT
ejpam-4774	227	21	t)ϕ0x	t)ϕ0x	NOUN
ejpam-4774	227	22	(	(	PUNCT
ejpam-4774	227	23	x	x	NOUN
ejpam-4774	227	24	,	,	PUNCT
ejpam-4774	227	25	t))t	t))t	NOUN
ejpam-4774	227	26	]	]	X
ejpam-4774	227	27	]	]	X
ejpam-4774	227	28	=	=	SYM
ejpam-4774	227	29	0	0	NUM
ejpam-4774	227	30	,	,	PUNCT
ejpam-4774	227	31	ϕ2	ϕ2	ADV
ejpam-4774	227	32	(	(	PUNCT
ejpam-4774	227	33	x	x	NOUN
ejpam-4774	227	34	,	,	PUNCT
ejpam-4774	227	35	t	t	PROPN
ejpam-4774	227	36	)	)	PUNCT
ejpam-4774	227	37	=	=	PUNCT
ejpam-4774	228	1	−g−1	−g−1	NOUN
ejpam-4774	228	2	x	x	X
ejpam-4774	228	3	s−1	s−1	PROPN
ejpam-4774	228	4	t	t	PROPN
ejpam-4774	228	5	[	[	PUNCT
ejpam-4774	228	6	u2	u2	PROPN
ejpam-4774	228	7	1−	1−	NUM
ejpam-4774	228	8	s2u2	s2u2	ADV
ejpam-4774	228	9	gxst	gxst	X
ejpam-4774	228	10	[	[	PUNCT
ejpam-4774	228	11	∂	∂	X
ejpam-4774	228	12	∂t	∂t	PROPN
ejpam-4774	228	13	(	(	PUNCT
ejpam-4774	228	14	(	(	PUNCT
ejpam-4774	228	15	ϕ0	ϕ0	NOUN
ejpam-4774	228	16	(	(	PUNCT
ejpam-4774	228	17	x	x	PROPN
ejpam-4774	228	18	,	,	PUNCT
ejpam-4774	228	19	t	t	PROPN
ejpam-4774	228	20	)	)	PUNCT
ejpam-4774	228	21	+	+	NUM
ejpam-4774	228	22	ϕ1	ϕ1	NOUN
ejpam-4774	228	23	(	(	PUNCT
ejpam-4774	228	24	x	x	NOUN
ejpam-4774	228	25	,	,	PUNCT
ejpam-4774	228	26	t	t	PROPN
ejpam-4774	228	27	)	)	PUNCT
ejpam-4774	228	28	)	)	PUNCT
ejpam-4774	229	1	(	(	PUNCT
ejpam-4774	229	2	ϕ0	ϕ0	NOUN
ejpam-4774	229	3	(	(	PUNCT
ejpam-4774	229	4	x	x	PROPN
ejpam-4774	229	5	,	,	PUNCT
ejpam-4774	229	6	t	t	PROPN
ejpam-4774	229	7	)	)	PUNCT
ejpam-4774	229	8	+	+	NUM
ejpam-4774	229	9	ϕ1	ϕ1	NOUN
ejpam-4774	229	10	(	(	PUNCT
ejpam-4774	229	11	x	x	NOUN
ejpam-4774	229	12	,	,	PUNCT
ejpam-4774	229	13	t))t	t))t	NOUN
ejpam-4774	229	14	−	−	PROPN
ejpam-4774	229	15	(	(	PUNCT
ejpam-4774	229	16	ϕ0	ϕ0	PROPN
ejpam-4774	229	17	(	(	PUNCT
ejpam-4774	229	18	x	x	X
ejpam-4774	229	19	,	,	PUNCT
ejpam-4774	229	20	t)ϕ0x	t)ϕ0x	NOUN
ejpam-4774	229	21	(	(	PUNCT
ejpam-4774	229	22	x	x	NOUN
ejpam-4774	229	23	,	,	PUNCT
ejpam-4774	229	24	t))t	t))t	NOUN
ejpam-4774	229	25	)	)	PUNCT
ejpam-4774	229	26	]	]	PUNCT
ejpam-4774	229	27	]	]	X
ejpam-4774	229	28	=	=	PUNCT
ejpam-4774	229	29	0	0	X
ejpam-4774	229	30	.	.	PUNCT
ejpam-4774	229	31	(	(	PUNCT
ejpam-4774	229	32	27	27	NUM
ejpam-4774	229	33	)	)	PUNCT
ejpam-4774	229	34	following	follow	VERB
ejpam-4774	229	35	that	that	PRON
ejpam-4774	229	36	,	,	PUNCT
ejpam-4774	229	37	we	we	PRON
ejpam-4774	229	38	have	have	VERB
ejpam-4774	229	39	the	the	DET
ejpam-4774	229	40	solution	solution	NOUN
ejpam-4774	229	41	of	of	ADP
ejpam-4774	229	42	equation	equation	NOUN
ejpam-4774	229	43	(	(	PUNCT
ejpam-4774	229	44	27	27	NUM
ejpam-4774	229	45	)	)	PUNCT
ejpam-4774	229	46	as	as	SCONJ
ejpam-4774	229	47	follows	follow	VERB
ejpam-4774	229	48	ϕ	ϕ	X
ejpam-4774	229	49	(	(	PUNCT
ejpam-4774	229	50	x	x	PROPN
ejpam-4774	229	51	,	,	PUNCT
ejpam-4774	229	52	t	t	PROPN
ejpam-4774	229	53	)	)	PUNCT
ejpam-4774	229	54	=	=	SYM
ejpam-4774	229	55	e−t	e−t	NOUN
ejpam-4774	229	56	sinx	sinx	NOUN
ejpam-4774	229	57	.	.	PUNCT
ejpam-4774	230	1	(	(	PUNCT
ejpam-4774	230	2	28	28	NUM
ejpam-4774	230	3	)	)	PUNCT
ejpam-4774	230	4	figure	figure	NOUN
ejpam-4774	230	5	2	2	NUM
ejpam-4774	230	6	below	below	ADV
ejpam-4774	230	7	,	,	PUNCT
ejpam-4774	230	8	shows	show	VERB
ejpam-4774	230	9	the	the	DET
ejpam-4774	230	10	3d	3d	NOUN
ejpam-4774	230	11	graph	graph	NOUN
ejpam-4774	230	12	of	of	ADP
ejpam-4774	230	13	the	the	DET
ejpam-4774	230	14	exact	exact	ADJ
ejpam-4774	230	15	solution	solution	NOUN
ejpam-4774	230	16	of	of	ADP
ejpam-4774	230	17	the	the	DET
ejpam-4774	230	18	initial	initial	ADJ
ejpam-4774	230	19	boundary	boundary	ADJ
ejpam-4774	230	20	value	value	NOUN
ejpam-4774	230	21	problem	problem	NOUN
ejpam-4774	230	22	(	(	PUNCT
ejpam-4774	230	23	20	20	NUM
ejpam-4774	230	24	)	)	PUNCT
ejpam-4774	230	25	(	(	PUNCT
ejpam-4774	230	26	21	21	NUM
ejpam-4774	230	27	)	)	PUNCT
ejpam-4774	230	28	and	and	CCONJ
ejpam-4774	230	29	(	(	PUNCT
ejpam-4774	230	30	22	22	NUM
ejpam-4774	230	31	)	)	PUNCT
ejpam-4774	230	32	.	.	PUNCT
ejpam-4774	231	1	figure	figure	VERB
ejpam-4774	231	2	2	2	NUM
ejpam-4774	231	3	:	:	PUNCT
ejpam-4774	231	4	exact	exact	ADJ
ejpam-4774	231	5	solution	solution	NOUN
ejpam-4774	231	6	ϕ	ϕ	X
ejpam-4774	231	7	(	(	PUNCT
ejpam-4774	231	8	x	x	PROPN
ejpam-4774	231	9	,	,	PUNCT
ejpam-4774	231	10	t	t	PROPN
ejpam-4774	231	11	)	)	PUNCT
ejpam-4774	231	12	of	of	ADP
ejpam-4774	231	13	problem	problem	NOUN
ejpam-4774	231	14	2	2	NUM
ejpam-4774	231	15	.	.	PUNCT
ejpam-4774	231	16	problem	problem	NOUN
ejpam-4774	231	17	3	3	X
ejpam-4774	231	18	.	.	PUNCT
ejpam-4774	232	1	consider	consider	VERB
ejpam-4774	232	2	the	the	DET
ejpam-4774	232	3	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4774	232	4	kdv	kdv	NOUN
ejpam-4774	232	5	equation	equation	NOUN
ejpam-4774	232	6	ϕt	ϕt	ADV
ejpam-4774	232	7	(	(	PUNCT
ejpam-4774	232	8	x	x	X
ejpam-4774	232	9	,	,	PUNCT
ejpam-4774	232	10	t)−	t)−	PROPN
ejpam-4774	232	11	ϕ	ϕ	X
ejpam-4774	232	12	(	(	PUNCT
ejpam-4774	232	13	x	x	X
ejpam-4774	232	14	,	,	PUNCT
ejpam-4774	232	15	t)ϕx	t)ϕx	PROPN
ejpam-4774	232	16	(	(	PUNCT
ejpam-4774	232	17	x	x	PROPN
ejpam-4774	232	18	,	,	PUNCT
ejpam-4774	232	19	t	t	PROPN
ejpam-4774	232	20	)	)	PUNCT
ejpam-4774	233	1	+	+	NUM
ejpam-4774	233	2	ϕxxx	ϕxxx	NOUN
ejpam-4774	233	3	(	(	PUNCT
ejpam-4774	233	4	x	x	X
ejpam-4774	233	5	,	,	PUNCT
ejpam-4774	233	6	t	t	PROPN
ejpam-4774	233	7	)	)	PUNCT
ejpam-4774	233	8	=	=	NOUN
ejpam-4774	233	9	−ex	−ex	NOUN
ejpam-4774	233	10	(	(	PUNCT
ejpam-4774	233	11	t+	t+	NOUN
ejpam-4774	233	12	1	1	NUM
ejpam-4774	233	13	)	)	PUNCT
ejpam-4774	233	14	+	+	CCONJ
ejpam-4774	233	15	tex	tex	PROPN
ejpam-4774	233	16	(	(	PUNCT
ejpam-4774	233	17	−tex	−tex	NOUN
ejpam-4774	233	18	+	+	NOUN
ejpam-4774	233	19	1	1	NUM
ejpam-4774	233	20	)	)	PUNCT
ejpam-4774	233	21	,	,	PUNCT
ejpam-4774	233	22	(	(	PUNCT
ejpam-4774	233	23	29	29	NUM
ejpam-4774	233	24	)	)	PUNCT
ejpam-4774	233	25	a.	a.	NOUN
ejpam-4774	233	26	qazza	qazza	PROPN
ejpam-4774	233	27	et	et	PROPN
ejpam-4774	233	28	al	al	PROPN
ejpam-4774	233	29	.	.	PUNCT
ejpam-4774	233	30	/	/	SYM
ejpam-4774	233	31	eur	eur	PROPN
ejpam-4774	233	32	.	.	PUNCT
ejpam-4774	234	1	j.	j.	PROPN
ejpam-4774	234	2	pure	pure	PROPN
ejpam-4774	234	3	appl	appl	PROPN
ejpam-4774	234	4	.	.	PROPN
ejpam-4774	234	5	math	math	PROPN
ejpam-4774	234	6	,	,	PUNCT
ejpam-4774	234	7	16	16	NUM
ejpam-4774	234	8	(	(	PUNCT
ejpam-4774	234	9	2	2	NUM
ejpam-4774	234	10	)	)	PUNCT
ejpam-4774	234	11	(	(	PUNCT
ejpam-4774	234	12	2023	2023	NUM
ejpam-4774	234	13	)	)	PUNCT
ejpam-4774	234	14	,	,	PUNCT
ejpam-4774	234	15	1274	1274	NUM
ejpam-4774	234	16	-	-	SYM
ejpam-4774	234	17	1289	1289	NUM
ejpam-4774	234	18	1284	1284	NUM
ejpam-4774	234	19	with	with	ADP
ejpam-4774	234	20	the	the	DET
ejpam-4774	234	21	initial	initial	ADJ
ejpam-4774	234	22	condition	condition	NOUN
ejpam-4774	234	23	ϕ	ϕ	X
ejpam-4774	234	24	(	(	PUNCT
ejpam-4774	234	25	x	x	X
ejpam-4774	234	26	,	,	PUNCT
ejpam-4774	234	27	0	0	NUM
ejpam-4774	234	28	)	)	PUNCT
ejpam-4774	234	29	=	=	SYM
ejpam-4774	234	30	1	1	NUM
ejpam-4774	234	31	,	,	PUNCT
ejpam-4774	234	32	(	(	PUNCT
ejpam-4774	234	33	30	30	NUM
ejpam-4774	234	34	)	)	PUNCT
ejpam-4774	234	35	and	and	CCONJ
ejpam-4774	234	36	the	the	DET
ejpam-4774	234	37	boundary	boundary	ADJ
ejpam-4774	234	38	conditions	condition	NOUN
ejpam-4774	234	39	ϕ	ϕ	X
ejpam-4774	234	40	(	(	PUNCT
ejpam-4774	234	41	0	0	NUM
ejpam-4774	234	42	,	,	PUNCT
ejpam-4774	234	43	t	t	PROPN
ejpam-4774	234	44	)	)	PUNCT
ejpam-4774	234	45	=	=	SYM
ejpam-4774	235	1	1−	1−	NUM
ejpam-4774	235	2	t	t	PROPN
ejpam-4774	235	3	,	,	PUNCT
ejpam-4774	235	4	ϕx	ϕx	X
ejpam-4774	235	5	(	(	PUNCT
ejpam-4774	235	6	0	0	NUM
ejpam-4774	235	7	,	,	PUNCT
ejpam-4774	235	8	t	t	PROPN
ejpam-4774	235	9	)	)	PUNCT
ejpam-4774	235	10	=	=	SYM
ejpam-4774	236	1	ϕxx	ϕxx	PROPN
ejpam-4774	236	2	(	(	PUNCT
ejpam-4774	236	3	0	0	NUM
ejpam-4774	236	4	,	,	PUNCT
ejpam-4774	236	5	t	t	PROPN
ejpam-4774	236	6	)	)	PUNCT
ejpam-4774	236	7	=	=	SYM
ejpam-4774	236	8	−t	−t	NOUN
ejpam-4774	236	9	.	.	PUNCT
ejpam-4774	237	1	(	(	PUNCT
ejpam-4774	237	2	31	31	NUM
ejpam-4774	237	3	)	)	PUNCT
ejpam-4774	237	4	solution	solution	NOUN
ejpam-4774	237	5	.	.	PUNCT
ejpam-4774	238	1	to	to	PART
ejpam-4774	238	2	apply	apply	VERB
ejpam-4774	238	3	idara	idara	NOUN
ejpam-4774	238	4	-	-	PUNCT
ejpam-4774	238	5	st	st	PROPN
ejpam-4774	238	6	method	method	NOUN
ejpam-4774	238	7	,	,	PUNCT
ejpam-4774	238	8	apply	apply	VERB
ejpam-4774	238	9	dara	dara	PROPN
ejpam-4774	238	10	-	-	PUNCT
ejpam-4774	238	11	st	st	PROPN
ejpam-4774	238	12	to	to	PART
ejpam-4774	238	13	equation	equation	NOUN
ejpam-4774	238	14	(	(	PUNCT
ejpam-4774	238	15	29	29	NUM
ejpam-4774	238	16	)	)	PUNCT
ejpam-4774	238	17	,	,	PUNCT
ejpam-4774	238	18	to	to	PART
ejpam-4774	238	19	get	get	VERB
ejpam-4774	238	20	gxst	gxst	NOUN
ejpam-4774	239	1	[	[	X
ejpam-4774	239	2	ϕt	ϕt	INTJ
ejpam-4774	239	3	(	(	PUNCT
ejpam-4774	239	4	x	x	NOUN
ejpam-4774	239	5	,	,	PUNCT
ejpam-4774	239	6	t)]−	t)]−	PRON
ejpam-4774	239	7	gxst	gxst	VERB
ejpam-4774	240	1	[	[	X
ejpam-4774	240	2	ϕ	ϕ	X
ejpam-4774	240	3	(	(	PUNCT
ejpam-4774	240	4	x	x	X
ejpam-4774	240	5	,	,	PUNCT
ejpam-4774	240	6	t)ϕx	t)ϕx	PROPN
ejpam-4774	240	7	(	(	PUNCT
ejpam-4774	240	8	x	x	PROPN
ejpam-4774	240	9	,	,	PUNCT
ejpam-4774	240	10	t	t	PROPN
ejpam-4774	240	11	)	)	PUNCT
ejpam-4774	240	12	]	]	PUNCT
ejpam-4774	241	1	+	+	CCONJ
ejpam-4774	241	2	gxst	gxst	X
ejpam-4774	242	1	[	[	X
ejpam-4774	242	2	ϕxxx	ϕxxx	NOUN
ejpam-4774	242	3	(	(	PUNCT
ejpam-4774	242	4	x	x	X
ejpam-4774	242	5	,	,	PUNCT
ejpam-4774	242	6	t	t	PROPN
ejpam-4774	242	7	)	)	PUNCT
ejpam-4774	242	8	]	]	PUNCT
ejpam-4774	243	1	=	=	PUNCT
ejpam-4774	243	2	gxst	gxst	NOUN
ejpam-4774	244	1	[	[	X
ejpam-4774	244	2	−ex	−ex	NOUN
ejpam-4774	244	3	(	(	PUNCT
ejpam-4774	244	4	t+	t+	NOUN
ejpam-4774	244	5	1	1	NUM
ejpam-4774	244	6	)	)	PUNCT
ejpam-4774	244	7	]	]	PUNCT
ejpam-4774	245	1	+	+	CCONJ
ejpam-4774	245	2	gxst	gxst	X
ejpam-4774	246	1	[	[	X
ejpam-4774	246	2	te	te	X
ejpam-4774	246	3	x	x	SYM
ejpam-4774	246	4	(	(	PUNCT
ejpam-4774	246	5	−tex	−tex	NOUN
ejpam-4774	246	6	+	+	NOUN
ejpam-4774	246	7	1	1	NUM
ejpam-4774	246	8	)	)	PUNCT
ejpam-4774	246	9	]	]	PUNCT
ejpam-4774	246	10	,	,	PUNCT
ejpam-4774	246	11	(	(	PUNCT
ejpam-4774	246	12	32	32	NUM
ejpam-4774	246	13	)	)	PUNCT
ejpam-4774	246	14	running	run	VERB
ejpam-4774	246	15	dara	dara	PROPN
ejpam-4774	246	16	-	-	PUNCT
ejpam-4774	246	17	st	st	PROPN
ejpam-4774	246	18	on	on	ADP
ejpam-4774	246	19	(	(	PUNCT
ejpam-4774	246	20	32	32	NUM
ejpam-4774	246	21	)	)	PUNCT
ejpam-4774	246	22	and	and	CCONJ
ejpam-4774	246	23	using	use	VERB
ejpam-4774	246	24	the	the	DET
ejpam-4774	246	25	conditions	condition	NOUN
ejpam-4774	246	26	(	(	PUNCT
ejpam-4774	246	27	30	30	NUM
ejpam-4774	246	28	)	)	PUNCT
ejpam-4774	246	29	and	and	CCONJ
ejpam-4774	246	30	(	(	PUNCT
ejpam-4774	246	31	31	31	NUM
ejpam-4774	246	32	)	)	PUNCT
ejpam-4774	246	33	,	,	PUNCT
ejpam-4774	246	34	and	and	CCONJ
ejpam-4774	246	35	the	the	DET
ejpam-4774	246	36	results	result	NOUN
ejpam-4774	246	37	in	in	ADP
ejpam-4774	246	38	theorem	theorem	NOUN
ejpam-4774	246	39	2	2	NUM
ejpam-4774	246	40	,	,	PUNCT
ejpam-4774	246	41	we	we	PRON
ejpam-4774	246	42	get	get	VERB
ejpam-4774	246	43	after	after	ADP
ejpam-4774	246	44	simple	simple	ADJ
ejpam-4774	246	45	computations	computation	NOUN
ejpam-4774	246	46	,	,	PUNCT
ejpam-4774	246	47	φ	φ	X
ejpam-4774	246	48	(	(	PUNCT
ejpam-4774	246	49	s	s	PROPN
ejpam-4774	246	50	,	,	PUNCT
ejpam-4774	246	51	u	u	NOUN
ejpam-4774	246	52	)	)	PUNCT
ejpam-4774	246	53	=	=	SYM
ejpam-4774	246	54	1−	1−	NUM
ejpam-4774	246	55	su	su	NOUN
ejpam-4774	246	56	s−	s−	PROPN
ejpam-4774	246	57	1	1	NUM
ejpam-4774	246	58	+	+	NUM
ejpam-4774	246	59	u	u	NOUN
ejpam-4774	246	60	1	1	NUM
ejpam-4774	246	61	+	+	CCONJ
ejpam-4774	246	62	us3	us3	ADJ
ejpam-4774	246	63	gxst	gxst	NOUN
ejpam-4774	247	1	[	[	X
ejpam-4774	247	2	te	te	X
ejpam-4774	247	3	x	x	SYM
ejpam-4774	247	4	(	(	PUNCT
ejpam-4774	247	5	−tex	−tex	NOUN
ejpam-4774	247	6	+	+	NOUN
ejpam-4774	247	7	1	1	NUM
ejpam-4774	247	8	)	)	PUNCT
ejpam-4774	247	9	+	+	CCONJ
ejpam-4774	247	10	ϕ	ϕ	X
ejpam-4774	247	11	(	(	PUNCT
ejpam-4774	247	12	x	x	X
ejpam-4774	247	13	,	,	PUNCT
ejpam-4774	247	14	t)ϕx	t)ϕx	PROPN
ejpam-4774	247	15	(	(	PUNCT
ejpam-4774	247	16	x	x	PROPN
ejpam-4774	247	17	,	,	PUNCT
ejpam-4774	247	18	t	t	PROPN
ejpam-4774	247	19	)	)	PUNCT
ejpam-4774	247	20	]	]	PUNCT
ejpam-4774	247	21	.	.	PUNCT
ejpam-4774	248	1	(	(	PUNCT
ejpam-4774	248	2	33	33	NUM
ejpam-4774	248	3	)	)	PUNCT
ejpam-4774	248	4	operating	operate	VERB
ejpam-4774	248	5	the	the	DET
ejpam-4774	248	6	inverse	inverse	NOUN
ejpam-4774	248	7	transform	transform	NOUN
ejpam-4774	248	8	g−1	g−1	PROPN
ejpam-4774	248	9	x	x	PUNCT
ejpam-4774	248	10	s−1	s−1	PROPN
ejpam-4774	248	11	t	t	PROPN
ejpam-4774	248	12	on	on	ADP
ejpam-4774	248	13	(	(	PUNCT
ejpam-4774	248	14	33	33	NUM
ejpam-4774	248	15	)	)	PUNCT
ejpam-4774	248	16	,	,	PUNCT
ejpam-4774	248	17	we	we	PRON
ejpam-4774	248	18	have	have	VERB
ejpam-4774	248	19	ϕ	ϕ	NOUN
ejpam-4774	248	20	(	(	PUNCT
ejpam-4774	248	21	x	x	NOUN
ejpam-4774	248	22	,	,	PUNCT
ejpam-4774	248	23	t	t	PROPN
ejpam-4774	248	24	)	)	PUNCT
ejpam-4774	248	25	=	=	SYM
ejpam-4774	249	1	1−	1−	NUM
ejpam-4774	249	2	tex	tex	PROPN
ejpam-4774	249	3	+	+	CCONJ
ejpam-4774	250	1	g−1	g−1	PROPN
ejpam-4774	250	2	x	x	SYM
ejpam-4774	250	3	s−1	s−1	PROPN
ejpam-4774	250	4	t	t	PROPN
ejpam-4774	250	5	[	[	PUNCT
ejpam-4774	250	6	u	u	NOUN
ejpam-4774	250	7	1	1	NUM
ejpam-4774	250	8	+	+	CCONJ
ejpam-4774	250	9	us3	us3	ADJ
ejpam-4774	250	10	gxst	gxst	NOUN
ejpam-4774	251	1	[	[	X
ejpam-4774	251	2	te	te	X
ejpam-4774	251	3	x	x	SYM
ejpam-4774	251	4	(	(	PUNCT
ejpam-4774	251	5	−tex	−tex	NOUN
ejpam-4774	251	6	+	+	NOUN
ejpam-4774	251	7	1	1	NUM
ejpam-4774	251	8	)	)	PUNCT
ejpam-4774	251	9	+	+	CCONJ
ejpam-4774	251	10	ϕ	ϕ	X
ejpam-4774	251	11	(	(	PUNCT
ejpam-4774	251	12	x	x	X
ejpam-4774	251	13	,	,	PUNCT
ejpam-4774	251	14	t)ϕx	t)ϕx	PROPN
ejpam-4774	251	15	(	(	PUNCT
ejpam-4774	251	16	x	x	PROPN
ejpam-4774	251	17	,	,	PUNCT
ejpam-4774	251	18	t	t	PROPN
ejpam-4774	251	19	)	)	PUNCT
ejpam-4774	251	20	]	]	PUNCT
ejpam-4774	251	21	]	]	PUNCT
ejpam-4774	251	22	.	.	PUNCT
ejpam-4774	252	1	(	(	PUNCT
ejpam-4774	252	2	34	34	NUM
ejpam-4774	252	3	)	)	PUNCT
ejpam-4774	252	4	applying	apply	VERB
ejpam-4774	252	5	the	the	DET
ejpam-4774	252	6	iterative	iterative	NOUN
ejpam-4774	252	7	method	method	NOUN
ejpam-4774	252	8	,	,	PUNCT
ejpam-4774	252	9	we	we	PRON
ejpam-4774	252	10	get	get	VERB
ejpam-4774	252	11	the	the	DET
ejpam-4774	252	12	following	follow	VERB
ejpam-4774	252	13	components	component	NOUN
ejpam-4774	252	14	of	of	ADP
ejpam-4774	252	15	the	the	DET
ejpam-4774	252	16	solution	solution	NOUN
ejpam-4774	252	17	ϕ0	ϕ0	NOUN
ejpam-4774	252	18	(	(	PUNCT
ejpam-4774	252	19	x	x	X
ejpam-4774	252	20	,	,	PUNCT
ejpam-4774	252	21	t	t	PROPN
ejpam-4774	252	22	)	)	PUNCT
ejpam-4774	252	23	=	=	SYM
ejpam-4774	253	1	1−	1−	NUM
ejpam-4774	253	2	tex	tex	PROPN
ejpam-4774	253	3	,	,	PUNCT
ejpam-4774	253	4	ϕ1	ϕ1	PROPN
ejpam-4774	253	5	(	(	PUNCT
ejpam-4774	253	6	x	x	NOUN
ejpam-4774	253	7	,	,	PUNCT
ejpam-4774	253	8	t	t	PROPN
ejpam-4774	253	9	)	)	PUNCT
ejpam-4774	253	10	=	=	PUNCT
ejpam-4774	254	1	g−1	g−1	PROPN
ejpam-4774	254	2	x	x	X
ejpam-4774	254	3	s−1	s−1	PROPN
ejpam-4774	254	4	t	t	PROPN
ejpam-4774	254	5	[	[	PUNCT
ejpam-4774	254	6	u	u	NOUN
ejpam-4774	254	7	1	1	NUM
ejpam-4774	254	8	+	+	CCONJ
ejpam-4774	254	9	us3	us3	ADJ
ejpam-4774	254	10	gxst	gxst	NOUN
ejpam-4774	255	1	[	[	X
ejpam-4774	255	2	te	te	X
ejpam-4774	255	3	x	x	SYM
ejpam-4774	255	4	(	(	PUNCT
ejpam-4774	255	5	−tex	−tex	NOUN
ejpam-4774	255	6	+	+	NOUN
ejpam-4774	255	7	1	1	NUM
ejpam-4774	255	8	)	)	PUNCT
ejpam-4774	255	9	+	+	NUM
ejpam-4774	255	10	ϕ0	ϕ0	NOUN
ejpam-4774	255	11	(	(	PUNCT
ejpam-4774	255	12	x	x	X
ejpam-4774	255	13	,	,	PUNCT
ejpam-4774	255	14	t)ϕ0x	t)ϕ0x	NOUN
ejpam-4774	255	15	(	(	PUNCT
ejpam-4774	255	16	x	x	NOUN
ejpam-4774	255	17	,	,	PUNCT
ejpam-4774	255	18	t	t	PROPN
ejpam-4774	255	19	)	)	PUNCT
ejpam-4774	255	20	]	]	PUNCT
ejpam-4774	255	21	]	]	PUNCT
ejpam-4774	255	22	=	=	PUNCT
ejpam-4774	255	23	0	0	NUM
ejpam-4774	255	24	,	,	PUNCT
ejpam-4774	255	25	ϕ2	ϕ2	ADV
ejpam-4774	255	26	(	(	PUNCT
ejpam-4774	255	27	x	x	NOUN
ejpam-4774	255	28	,	,	PUNCT
ejpam-4774	255	29	t	t	PROPN
ejpam-4774	255	30	)	)	PUNCT
ejpam-4774	255	31	=	=	PUNCT
ejpam-4774	256	1	g−1	g−1	PROPN
ejpam-4774	256	2	x	x	X
ejpam-4774	256	3	s−1	s−1	PROPN
ejpam-4774	256	4	t	t	PROPN
ejpam-4774	256	5	[	[	PUNCT
ejpam-4774	256	6	u	u	NOUN
ejpam-4774	256	7	1	1	NUM
ejpam-4774	256	8	+	+	CCONJ
ejpam-4774	256	9	us3	us3	ADJ
ejpam-4774	256	10	gxst	gxst	NOUN
ejpam-4774	257	1	[	[	X
ejpam-4774	257	2	(	(	PUNCT
ejpam-4774	257	3	ϕ0	ϕ0	NOUN
ejpam-4774	257	4	(	(	PUNCT
ejpam-4774	257	5	x	x	PROPN
ejpam-4774	257	6	,	,	PUNCT
ejpam-4774	257	7	t	t	PROPN
ejpam-4774	257	8	)	)	PUNCT
ejpam-4774	257	9	+	+	NUM
ejpam-4774	257	10	ϕ1	ϕ1	NOUN
ejpam-4774	257	11	(	(	PUNCT
ejpam-4774	257	12	x	x	NOUN
ejpam-4774	257	13	,	,	PUNCT
ejpam-4774	257	14	t	t	PROPN
ejpam-4774	257	15	)	)	PUNCT
ejpam-4774	257	16	)	)	PUNCT
ejpam-4774	258	1	(	(	PUNCT
ejpam-4774	258	2	ϕ0	ϕ0	NOUN
ejpam-4774	258	3	(	(	PUNCT
ejpam-4774	258	4	x	x	PROPN
ejpam-4774	258	5	,	,	PUNCT
ejpam-4774	258	6	t	t	PROPN
ejpam-4774	258	7	)	)	PUNCT
ejpam-4774	258	8	+	+	NUM
ejpam-4774	258	9	ϕ1	ϕ1	NOUN
ejpam-4774	258	10	(	(	PUNCT
ejpam-4774	258	11	x	x	NOUN
ejpam-4774	258	12	,	,	PUNCT
ejpam-4774	258	13	t))x	t))x	NOUN
ejpam-4774	258	14	−	−	PROPN
ejpam-4774	258	15	ϕ0	ϕ0	NOUN
ejpam-4774	258	16	(	(	PUNCT
ejpam-4774	258	17	x	x	X
ejpam-4774	258	18	,	,	PUNCT
ejpam-4774	258	19	t)ϕ0x	t)ϕ0x	NOUN
ejpam-4774	258	20	(	(	PUNCT
ejpam-4774	258	21	x	x	NOUN
ejpam-4774	258	22	,	,	PUNCT
ejpam-4774	258	23	t	t	PROPN
ejpam-4774	258	24	)	)	PUNCT
ejpam-4774	258	25	]	]	PUNCT
ejpam-4774	258	26	]	]	X
ejpam-4774	258	27	=	=	PUNCT
ejpam-4774	258	28	0	0	X
ejpam-4774	258	29	.	.	PUNCT
ejpam-4774	258	30	(	(	PUNCT
ejpam-4774	258	31	35	35	NUM
ejpam-4774	258	32	)	)	PUNCT
ejpam-4774	258	33	following	follow	VERB
ejpam-4774	258	34	that	that	PRON
ejpam-4774	258	35	,	,	PUNCT
ejpam-4774	258	36	we	we	PRON
ejpam-4774	258	37	get	get	VERB
ejpam-4774	258	38	the	the	DET
ejpam-4774	258	39	solution	solution	NOUN
ejpam-4774	258	40	of	of	ADP
ejpam-4774	258	41	equation	equation	NOUN
ejpam-4774	258	42	(	(	PUNCT
ejpam-4774	258	43	29	29	NUM
ejpam-4774	258	44	)	)	PUNCT
ejpam-4774	258	45	as	as	SCONJ
ejpam-4774	258	46	follows	follow	VERB
ejpam-4774	258	47	ϕ	ϕ	X
ejpam-4774	258	48	(	(	PUNCT
ejpam-4774	258	49	x	x	PROPN
ejpam-4774	258	50	,	,	PUNCT
ejpam-4774	258	51	t	t	PROPN
ejpam-4774	258	52	)	)	PUNCT
ejpam-4774	258	53	=	=	SYM
ejpam-4774	259	1	1−	1−	NUM
ejpam-4774	259	2	tex	tex	PROPN
ejpam-4774	259	3	.	.	PUNCT
ejpam-4774	260	1	(	(	PUNCT
ejpam-4774	260	2	36	36	NUM
ejpam-4774	260	3	)	)	PUNCT
ejpam-4774	260	4	figure	figure	NOUN
ejpam-4774	260	5	3	3	NUM
ejpam-4774	260	6	below	below	ADV
ejpam-4774	260	7	,	,	PUNCT
ejpam-4774	260	8	shows	show	VERB
ejpam-4774	260	9	the	the	DET
ejpam-4774	260	10	3d	3d	NOUN
ejpam-4774	260	11	graph	graph	NOUN
ejpam-4774	260	12	of	of	ADP
ejpam-4774	260	13	the	the	DET
ejpam-4774	260	14	exact	exact	ADJ
ejpam-4774	260	15	solution	solution	NOUN
ejpam-4774	260	16	of	of	ADP
ejpam-4774	260	17	the	the	DET
ejpam-4774	260	18	initial	initial	ADJ
ejpam-4774	260	19	boundary	boundary	ADJ
ejpam-4774	260	20	value	value	NOUN
ejpam-4774	260	21	problem	problem	NOUN
ejpam-4774	260	22	(	(	PUNCT
ejpam-4774	260	23	29	29	NUM
ejpam-4774	260	24	)	)	PUNCT
ejpam-4774	260	25	(	(	PUNCT
ejpam-4774	260	26	30	30	NUM
ejpam-4774	260	27	)	)	PUNCT
ejpam-4774	260	28	and	and	CCONJ
ejpam-4774	260	29	(	(	PUNCT
ejpam-4774	260	30	31	31	NUM
ejpam-4774	260	31	)	)	PUNCT
ejpam-4774	260	32	.	.	PUNCT
ejpam-4774	261	1	a.	a.	PROPN
ejpam-4774	261	2	qazza	qazza	PROPN
ejpam-4774	261	3	et	et	PROPN
ejpam-4774	261	4	al	al	PROPN
ejpam-4774	261	5	.	.	PUNCT
ejpam-4774	261	6	/	/	SYM
ejpam-4774	261	7	eur	eur	PROPN
ejpam-4774	261	8	.	.	PUNCT
ejpam-4774	262	1	j.	j.	PROPN
ejpam-4774	262	2	pure	pure	PROPN
ejpam-4774	262	3	appl	appl	PROPN
ejpam-4774	262	4	.	.	PROPN
ejpam-4774	262	5	math	math	PROPN
ejpam-4774	262	6	,	,	PUNCT
ejpam-4774	262	7	16	16	NUM
ejpam-4774	262	8	(	(	PUNCT
ejpam-4774	262	9	2	2	NUM
ejpam-4774	262	10	)	)	PUNCT
ejpam-4774	262	11	(	(	PUNCT
ejpam-4774	262	12	2023	2023	NUM
ejpam-4774	262	13	)	)	PUNCT
ejpam-4774	262	14	,	,	PUNCT
ejpam-4774	262	15	1274	1274	NUM
ejpam-4774	262	16	-	-	SYM
ejpam-4774	262	17	1289	1289	NUM
ejpam-4774	262	18	1285	1285	NUM
ejpam-4774	262	19	figure	figure	NOUN
ejpam-4774	262	20	3	3	NUM
ejpam-4774	262	21	:	:	PUNCT
ejpam-4774	262	22	exact	exact	ADJ
ejpam-4774	262	23	solution	solution	NOUN
ejpam-4774	262	24	ϕ	ϕ	X
ejpam-4774	262	25	(	(	PUNCT
ejpam-4774	262	26	x	x	PROPN
ejpam-4774	262	27	,	,	PUNCT
ejpam-4774	262	28	t	t	PROPN
ejpam-4774	262	29	)	)	PUNCT
ejpam-4774	262	30	of	of	ADP
ejpam-4774	262	31	problem	problem	NOUN
ejpam-4774	262	32	3	3	X
ejpam-4774	262	33	.	.	X
ejpam-4774	262	34	problem	problem	NOUN
ejpam-4774	262	35	4	4	NUM
ejpam-4774	262	36	.	.	PUNCT
ejpam-4774	262	37	consider	consider	VERB
ejpam-4774	262	38	the	the	DET
ejpam-4774	262	39	following	follow	VERB
ejpam-4774	262	40	non	non	ADJ
ejpam-4774	262	41	-	-	ADJ
ejpam-4774	262	42	linear	linear	ADJ
ejpam-4774	262	43	telegraph	telegraph	NOUN
ejpam-4774	262	44	equation	equation	NOUN
ejpam-4774	262	45	ϕxx	ϕxx	NOUN
ejpam-4774	262	46	(	(	PUNCT
ejpam-4774	262	47	x	x	NOUN
ejpam-4774	262	48	,	,	PUNCT
ejpam-4774	262	49	t	t	PROPN
ejpam-4774	262	50	)	)	PUNCT
ejpam-4774	262	51	=	=	PUNCT
ejpam-4774	263	1	ϕtt	ϕtt	INTJ
ejpam-4774	263	2	(	(	PUNCT
ejpam-4774	263	3	x	x	NOUN
ejpam-4774	263	4	,	,	PUNCT
ejpam-4774	263	5	t	t	PROPN
ejpam-4774	263	6	)	)	PUNCT
ejpam-4774	263	7	+	+	X
ejpam-4774	263	8	2ϕt	2ϕt	ADJ
ejpam-4774	263	9	(	(	PUNCT
ejpam-4774	263	10	x	x	NOUN
ejpam-4774	263	11	,	,	PUNCT
ejpam-4774	263	12	t	t	PROPN
ejpam-4774	263	13	)	)	PUNCT
ejpam-4774	264	1	+	+	CCONJ
ejpam-4774	264	2	ϕ2	ϕ2	ADV
ejpam-4774	264	3	(	(	PUNCT
ejpam-4774	264	4	x	x	NOUN
ejpam-4774	264	5	,	,	PUNCT
ejpam-4774	264	6	t	t	PROPN
ejpam-4774	264	7	)	)	PUNCT
ejpam-4774	264	8	+	+	CCONJ
ejpam-4774	264	9	ex−2	ex−2	PROPN
ejpam-4774	264	10	t	t	PROPN
ejpam-4774	264	11	−	−	PROPN
ejpam-4774	264	12	e2x−4	e2x−4	PROPN
ejpam-4774	264	13	t	t	PROPN
ejpam-4774	264	14	,	,	PUNCT
ejpam-4774	264	15	(	(	PUNCT
ejpam-4774	264	16	37	37	NUM
ejpam-4774	264	17	)	)	PUNCT
ejpam-4774	264	18	with	with	ADP
ejpam-4774	264	19	the	the	DET
ejpam-4774	264	20	initial	initial	ADJ
ejpam-4774	264	21	conditions	condition	NOUN
ejpam-4774	264	22	ϕ	ϕ	X
ejpam-4774	264	23	(	(	PUNCT
ejpam-4774	264	24	x	x	X
ejpam-4774	264	25	,	,	PUNCT
ejpam-4774	264	26	0	0	NUM
ejpam-4774	264	27	)	)	PUNCT
ejpam-4774	264	28	=	=	SYM
ejpam-4774	265	1	ex	ex	X
ejpam-4774	265	2	,	,	PUNCT
ejpam-4774	265	3	ϕt	ϕt	INTJ
ejpam-4774	265	4	(	(	PUNCT
ejpam-4774	265	5	x	x	X
ejpam-4774	265	6	,	,	PUNCT
ejpam-4774	265	7	0	0	NUM
ejpam-4774	265	8	)	)	PUNCT
ejpam-4774	265	9	=	=	SYM
ejpam-4774	266	1	−2ex	−2ex	NOUN
ejpam-4774	266	2	,	,	PUNCT
ejpam-4774	266	3	(	(	PUNCT
ejpam-4774	266	4	38	38	NUM
ejpam-4774	266	5	)	)	PUNCT
ejpam-4774	266	6	and	and	CCONJ
ejpam-4774	266	7	the	the	DET
ejpam-4774	266	8	boundary	boundary	ADJ
ejpam-4774	266	9	conditions	condition	NOUN
ejpam-4774	266	10	ϕ	ϕ	X
ejpam-4774	266	11	(	(	PUNCT
ejpam-4774	266	12	0	0	NUM
ejpam-4774	266	13	,	,	PUNCT
ejpam-4774	266	14	t	t	PROPN
ejpam-4774	266	15	)	)	PUNCT
ejpam-4774	266	16	=	=	NOUN
ejpam-4774	266	17	ϕx	ϕx	INTJ
ejpam-4774	266	18	(	(	PUNCT
ejpam-4774	266	19	0	0	NUM
ejpam-4774	266	20	,	,	PUNCT
ejpam-4774	266	21	t	t	PROPN
ejpam-4774	266	22	)	)	PUNCT
ejpam-4774	266	23	=	=	PUNCT
ejpam-4774	267	1	e−2	e−2	PROPN
ejpam-4774	267	2	t.	t.	PROPN
ejpam-4774	267	3	(	(	PUNCT
ejpam-4774	267	4	39	39	NUM
ejpam-4774	267	5	)	)	PUNCT
ejpam-4774	267	6	solution	solution	NOUN
ejpam-4774	267	7	.	.	PUNCT
ejpam-4774	268	1	to	to	PART
ejpam-4774	268	2	apply	apply	VERB
ejpam-4774	268	3	idara	idara	NOUN
ejpam-4774	268	4	-	-	PUNCT
ejpam-4774	268	5	st	st	PROPN
ejpam-4774	268	6	method	method	NOUN
ejpam-4774	268	7	,	,	PUNCT
ejpam-4774	268	8	apply	apply	VERB
ejpam-4774	268	9	dara	dara	PROPN
ejpam-4774	268	10	-	-	PUNCT
ejpam-4774	268	11	st	st	PROPN
ejpam-4774	268	12	to	to	PART
ejpam-4774	268	13	equation	equation	NOUN
ejpam-4774	268	14	(	(	PUNCT
ejpam-4774	268	15	37	37	NUM
ejpam-4774	268	16	)	)	PUNCT
ejpam-4774	268	17	and	and	CCONJ
ejpam-4774	268	18	arat	arat	PROPN
ejpam-4774	268	19	to	to	ADP
ejpam-4774	268	20	(	(	PUNCT
ejpam-4774	268	21	37	37	NUM
ejpam-4774	268	22	)	)	PUNCT
ejpam-4774	268	23	and	and	CCONJ
ejpam-4774	268	24	st	st	X
ejpam-4774	268	25	to	to	PART
ejpam-4774	268	26	(	(	PUNCT
ejpam-4774	268	27	38	38	NUM
ejpam-4774	268	28	)	)	PUNCT
ejpam-4774	268	29	,	,	PUNCT
ejpam-4774	268	30	to	to	PART
ejpam-4774	268	31	get	get	VERB
ejpam-4774	268	32	gxst	gxst	NOUN
ejpam-4774	269	1	[	[	X
ejpam-4774	269	2	ϕxx	ϕxx	INTJ
ejpam-4774	269	3	(	(	PUNCT
ejpam-4774	269	4	x	x	NOUN
ejpam-4774	269	5	,	,	PUNCT
ejpam-4774	269	6	t	t	PROPN
ejpam-4774	269	7	)	)	PUNCT
ejpam-4774	269	8	]	]	PUNCT
ejpam-4774	270	1	=	=	PUNCT
ejpam-4774	270	2	gxst	gxst	X
ejpam-4774	271	1	[	[	X
ejpam-4774	271	2	ϕtt	ϕtt	INTJ
ejpam-4774	271	3	(	(	PUNCT
ejpam-4774	271	4	x	x	NOUN
ejpam-4774	271	5	,	,	PUNCT
ejpam-4774	271	6	t	t	PROPN
ejpam-4774	271	7	)	)	PUNCT
ejpam-4774	271	8	]	]	PUNCT
ejpam-4774	272	1	+	+	CCONJ
ejpam-4774	272	2	gxst	gxst	X
ejpam-4774	273	1	[	[	X
ejpam-4774	273	2	2ϕt	2ϕt	ADJ
ejpam-4774	273	3	(	(	PUNCT
ejpam-4774	273	4	x	x	PROPN
ejpam-4774	273	5	,	,	PUNCT
ejpam-4774	273	6	t	t	PROPN
ejpam-4774	273	7	)	)	PUNCT
ejpam-4774	273	8	]	]	PUNCT
ejpam-4774	274	1	+	+	CCONJ
ejpam-4774	274	2	gxst	gxst	X
ejpam-4774	274	3	[	[	PUNCT
ejpam-4774	274	4	ϕ2	ϕ2	ADV
ejpam-4774	274	5	(	(	PUNCT
ejpam-4774	274	6	x	x	NOUN
ejpam-4774	274	7	,	,	PUNCT
ejpam-4774	274	8	t	t	PROPN
ejpam-4774	274	9	)	)	PUNCT
ejpam-4774	274	10	+	+	CCONJ
ejpam-4774	274	11	ex−2	ex−2	PROPN
ejpam-4774	274	12	t	t	PROPN
ejpam-4774	274	13	−	−	PROPN
ejpam-4774	274	14	e2x−4	e2x−4	PROPN
ejpam-4774	274	15	t	t	PROPN
ejpam-4774	274	16	]	]	PUNCT
ejpam-4774	274	17	,	,	PUNCT
ejpam-4774	274	18	(	(	PUNCT
ejpam-4774	274	19	40	40	NUM
ejpam-4774	274	20	)	)	PUNCT
ejpam-4774	274	21	running	run	VERB
ejpam-4774	274	22	dara	dara	PROPN
ejpam-4774	274	23	-	-	PUNCT
ejpam-4774	274	24	st	st	PROPN
ejpam-4774	274	25	on	on	ADP
ejpam-4774	274	26	(	(	PUNCT
ejpam-4774	274	27	40	40	NUM
ejpam-4774	274	28	)	)	PUNCT
ejpam-4774	274	29	and	and	CCONJ
ejpam-4774	274	30	using	use	VERB
ejpam-4774	274	31	conditions	condition	NOUN
ejpam-4774	274	32	(	(	PUNCT
ejpam-4774	274	33	38	38	NUM
ejpam-4774	274	34	)	)	PUNCT
ejpam-4774	274	35	and	and	CCONJ
ejpam-4774	274	36	(	(	PUNCT
ejpam-4774	274	37	39	39	NUM
ejpam-4774	274	38	)	)	PUNCT
ejpam-4774	274	39	,	,	PUNCT
ejpam-4774	274	40	and	and	CCONJ
ejpam-4774	274	41	the	the	DET
ejpam-4774	274	42	results	result	NOUN
ejpam-4774	274	43	in	in	ADP
ejpam-4774	274	44	theorem	theorem	NOUN
ejpam-4774	274	45	2	2	NUM
ejpam-4774	274	46	,	,	PUNCT
ejpam-4774	274	47	we	we	PRON
ejpam-4774	274	48	get	get	VERB
ejpam-4774	274	49	after	after	ADP
ejpam-4774	274	50	simple	simple	ADJ
ejpam-4774	274	51	computations	computation	NOUN
ejpam-4774	274	52	,	,	PUNCT
ejpam-4774	274	53	φ	φ	X
ejpam-4774	274	54	(	(	PUNCT
ejpam-4774	274	55	s	s	PROPN
ejpam-4774	274	56	,	,	PUNCT
ejpam-4774	274	57	u	u	NOUN
ejpam-4774	274	58	)	)	PUNCT
ejpam-4774	274	59	=	=	SYM
ejpam-4774	274	60	s	s	X
ejpam-4774	274	61	(	(	PUNCT
ejpam-4774	274	62	s−	s−	PROPN
ejpam-4774	274	63	1	1	NUM
ejpam-4774	274	64	)	)	PUNCT
ejpam-4774	274	65	(	(	PUNCT
ejpam-4774	274	66	1	1	NUM
ejpam-4774	274	67	+	+	CCONJ
ejpam-4774	274	68	2u	2u	NOUN
ejpam-4774	274	69	)	)	PUNCT
ejpam-4774	274	70	+	+	CCONJ
ejpam-4774	274	71	u2	u2	PROPN
ejpam-4774	274	72	u2s2	u2s2	PROPN
ejpam-4774	274	73	−	−	PROPN
ejpam-4774	274	74	2u−	2u−	NUM
ejpam-4774	274	75	1	1	NUM
ejpam-4774	274	76	gxst	gxst	NOUN
ejpam-4774	274	77	[	[	PUNCT
ejpam-4774	274	78	ϕ2	ϕ2	ADV
ejpam-4774	274	79	(	(	PUNCT
ejpam-4774	274	80	x	x	X
ejpam-4774	274	81	,	,	PUNCT
ejpam-4774	274	82	t)−	t)−	PROPN
ejpam-4774	274	83	e2x−4y	e2x−4y	NOUN
ejpam-4774	274	84	]	]	PUNCT
ejpam-4774	274	85	.	.	PUNCT
ejpam-4774	275	1	(	(	PUNCT
ejpam-4774	275	2	41	41	NUM
ejpam-4774	275	3	)	)	PUNCT
ejpam-4774	275	4	running	run	VERB
ejpam-4774	275	5	the	the	DET
ejpam-4774	275	6	inverse	inverse	NOUN
ejpam-4774	275	7	transform	transform	NOUN
ejpam-4774	275	8	g−1	g−1	PROPN
ejpam-4774	275	9	x	x	PUNCT
ejpam-4774	275	10	s−1	s−1	PROPN
ejpam-4774	275	11	t	t	PROPN
ejpam-4774	275	12	on	on	ADP
ejpam-4774	275	13	(	(	PUNCT
ejpam-4774	275	14	41	41	NUM
ejpam-4774	275	15	)	)	PUNCT
ejpam-4774	275	16	,	,	PUNCT
ejpam-4774	275	17	we	we	PRON
ejpam-4774	275	18	have	have	VERB
ejpam-4774	275	19	ϕ	ϕ	NOUN
ejpam-4774	275	20	(	(	PUNCT
ejpam-4774	275	21	x	x	NOUN
ejpam-4774	275	22	,	,	PUNCT
ejpam-4774	275	23	t	t	PROPN
ejpam-4774	275	24	)	)	PUNCT
ejpam-4774	275	25	=	=	PUNCT
ejpam-4774	276	1	ex−2	ex−2	PROPN
ejpam-4774	276	2	t	t	NOUN
ejpam-4774	276	3	+	+	CCONJ
ejpam-4774	276	4	g−1	g−1	PROPN
ejpam-4774	276	5	x	x	SYM
ejpam-4774	276	6	s−1	s−1	PROPN
ejpam-4774	276	7	t	t	PROPN
ejpam-4774	276	8	[	[	PUNCT
ejpam-4774	276	9	u2	u2	PROPN
ejpam-4774	276	10	u2s2	u2s2	PROPN
ejpam-4774	276	11	−	−	PROPN
ejpam-4774	276	12	2u−	2u−	NUM
ejpam-4774	276	13	1	1	NUM
ejpam-4774	276	14	gxst	gxst	NOUN
ejpam-4774	276	15	[	[	PUNCT
ejpam-4774	276	16	ϕ2	ϕ2	ADV
ejpam-4774	276	17	(	(	PUNCT
ejpam-4774	276	18	x	x	X
ejpam-4774	276	19	,	,	PUNCT
ejpam-4774	276	20	t)−	t)−	PROPN
ejpam-4774	276	21	e2x−4	e2x−4	PROPN
ejpam-4774	276	22	t	t	PROPN
ejpam-4774	276	23	]	]	X
ejpam-4774	276	24	]	]	PUNCT
ejpam-4774	276	25	.	.	PUNCT
ejpam-4774	277	1	(	(	PUNCT
ejpam-4774	277	2	42	42	X
ejpam-4774	277	3	)	)	PUNCT
ejpam-4774	277	4	a.	a.	NOUN
ejpam-4774	277	5	qazza	qazza	PROPN
ejpam-4774	277	6	et	et	PROPN
ejpam-4774	277	7	al	al	PROPN
ejpam-4774	277	8	.	.	PUNCT
ejpam-4774	277	9	/	/	SYM
ejpam-4774	277	10	eur	eur	PROPN
ejpam-4774	277	11	.	.	PUNCT
ejpam-4774	278	1	j.	j.	PROPN
ejpam-4774	278	2	pure	pure	PROPN
ejpam-4774	278	3	appl	appl	PROPN
ejpam-4774	278	4	.	.	PROPN
ejpam-4774	278	5	math	math	PROPN
ejpam-4774	278	6	,	,	PUNCT
ejpam-4774	278	7	16	16	NUM
ejpam-4774	278	8	(	(	PUNCT
ejpam-4774	278	9	2	2	NUM
ejpam-4774	278	10	)	)	PUNCT
ejpam-4774	278	11	(	(	PUNCT
ejpam-4774	278	12	2023	2023	NUM
ejpam-4774	278	13	)	)	PUNCT
ejpam-4774	278	14	,	,	PUNCT
ejpam-4774	278	15	1274	1274	NUM
ejpam-4774	278	16	-	-	SYM
ejpam-4774	278	17	1289	1289	NUM
ejpam-4774	278	18	1286	1286	NUM
ejpam-4774	278	19	applying	apply	VERB
ejpam-4774	278	20	the	the	DET
ejpam-4774	278	21	iterative	iterative	NOUN
ejpam-4774	278	22	approach	approach	NOUN
ejpam-4774	278	23	,	,	PUNCT
ejpam-4774	278	24	we	we	PRON
ejpam-4774	278	25	get	get	VERB
ejpam-4774	278	26	the	the	DET
ejpam-4774	278	27	components	component	NOUN
ejpam-4774	278	28	of	of	ADP
ejpam-4774	278	29	the	the	DET
ejpam-4774	278	30	solution	solution	NOUN
ejpam-4774	278	31	as	as	ADP
ejpam-4774	278	32	ϕ0	ϕ0	NOUN
ejpam-4774	278	33	(	(	PUNCT
ejpam-4774	278	34	x	x	X
ejpam-4774	278	35	,	,	PUNCT
ejpam-4774	278	36	t	t	PROPN
ejpam-4774	278	37	)	)	PUNCT
ejpam-4774	278	38	=	=	PUNCT
ejpam-4774	278	39	ex−2	ex−2	PROPN
ejpam-4774	278	40	t	t	PROPN
ejpam-4774	278	41	,	,	PUNCT
ejpam-4774	278	42	ϕ1	ϕ1	PROPN
ejpam-4774	278	43	(	(	PUNCT
ejpam-4774	278	44	x	x	NOUN
ejpam-4774	278	45	,	,	PUNCT
ejpam-4774	278	46	t	t	PROPN
ejpam-4774	278	47	)	)	PUNCT
ejpam-4774	278	48	=	=	PUNCT
ejpam-4774	279	1	g−1	g−1	PROPN
ejpam-4774	279	2	x	x	X
ejpam-4774	279	3	s−1	s−1	PROPN
ejpam-4774	279	4	t	t	PROPN
ejpam-4774	279	5	[	[	PUNCT
ejpam-4774	279	6	u2	u2	PROPN
ejpam-4774	279	7	u2s2	u2s2	PROPN
ejpam-4774	279	8	−	−	PROPN
ejpam-4774	279	9	2u−	2u−	NUM
ejpam-4774	279	10	1	1	NUM
ejpam-4774	279	11	gxst	gxst	NOUN
ejpam-4774	279	12	[	[	PUNCT
ejpam-4774	279	13	ϕ20	ϕ20	NOUN
ejpam-4774	279	14	(	(	PUNCT
ejpam-4774	279	15	x	x	X
ejpam-4774	279	16	,	,	PUNCT
ejpam-4774	279	17	t)−	t)−	PROPN
ejpam-4774	279	18	e2x−4	e2x−4	PROPN
ejpam-4774	279	19	t	t	PROPN
ejpam-4774	279	20	]	]	X
ejpam-4774	279	21	]	]	X
ejpam-4774	279	22	=	=	SYM
ejpam-4774	279	23	0	0	NUM
ejpam-4774	279	24	,	,	PUNCT
ejpam-4774	279	25	ϕ2	ϕ2	ADV
ejpam-4774	279	26	(	(	PUNCT
ejpam-4774	279	27	x	x	NOUN
ejpam-4774	279	28	,	,	PUNCT
ejpam-4774	279	29	t	t	PROPN
ejpam-4774	279	30	)	)	PUNCT
ejpam-4774	279	31	=	=	PUNCT
ejpam-4774	280	1	g−1	g−1	PROPN
ejpam-4774	280	2	x	x	X
ejpam-4774	280	3	s−1	s−1	PROPN
ejpam-4774	280	4	t	t	PROPN
ejpam-4774	280	5	[	[	PUNCT
ejpam-4774	280	6	u2	u2	PROPN
ejpam-4774	280	7	u2s2	u2s2	PROPN
ejpam-4774	280	8	−	−	PROPN
ejpam-4774	280	9	2u−	2u−	NUM
ejpam-4774	280	10	1	1	NUM
ejpam-4774	280	11	gxst	gxst	NOUN
ejpam-4774	280	12	[	[	PUNCT
ejpam-4774	280	13	(	(	PUNCT
ejpam-4774	280	14	ϕ0	ϕ0	NOUN
ejpam-4774	280	15	(	(	PUNCT
ejpam-4774	280	16	x	x	PROPN
ejpam-4774	280	17	,	,	PUNCT
ejpam-4774	280	18	t	t	PROPN
ejpam-4774	280	19	)	)	PUNCT
ejpam-4774	280	20	+	+	NUM
ejpam-4774	280	21	ϕ1	ϕ1	NOUN
ejpam-4774	280	22	(	(	PUNCT
ejpam-4774	280	23	x	x	NOUN
ejpam-4774	280	24	,	,	PUNCT
ejpam-4774	280	25	t	t	PROPN
ejpam-4774	280	26	)	)	PUNCT
ejpam-4774	280	27	)	)	PUNCT
ejpam-4774	280	28	2	2	NUM
ejpam-4774	280	29	−	−	NOUN
ejpam-4774	280	30	ϕ20	ϕ20	NOUN
ejpam-4774	280	31	(	(	PUNCT
ejpam-4774	280	32	x	x	NOUN
ejpam-4774	280	33	,	,	PUNCT
ejpam-4774	280	34	t	t	PROPN
ejpam-4774	280	35	)	)	PUNCT
ejpam-4774	280	36	]	]	PUNCT
ejpam-4774	280	37	]	]	X
ejpam-4774	280	38	=	=	PUNCT
ejpam-4774	280	39	0	0	X
ejpam-4774	280	40	.	.	PUNCT
ejpam-4774	281	1	(	(	PUNCT
ejpam-4774	281	2	43	43	NUM
ejpam-4774	281	3	)	)	PUNCT
ejpam-4774	281	4	thus	thus	ADV
ejpam-4774	281	5	,	,	PUNCT
ejpam-4774	281	6	we	we	PRON
ejpam-4774	281	7	get	get	VERB
ejpam-4774	281	8	the	the	DET
ejpam-4774	281	9	solution	solution	NOUN
ejpam-4774	281	10	of	of	ADP
ejpam-4774	281	11	equation	equation	NOUN
ejpam-4774	281	12	(	(	PUNCT
ejpam-4774	281	13	37	37	NUM
ejpam-4774	281	14	)	)	PUNCT
ejpam-4774	281	15	as	as	SCONJ
ejpam-4774	281	16	follows	follow	VERB
ejpam-4774	281	17	.	.	PUNCT
ejpam-4774	282	1	ϕ	ϕ	NOUN
ejpam-4774	282	2	(	(	PUNCT
ejpam-4774	282	3	x	x	PROPN
ejpam-4774	282	4	,	,	PUNCT
ejpam-4774	282	5	t	t	PROPN
ejpam-4774	282	6	)	)	PUNCT
ejpam-4774	282	7	=	=	PUNCT
ejpam-4774	282	8	ex−2	ex−2	PROPN
ejpam-4774	282	9	t.	t.	NOUN
ejpam-4774	282	10	(	(	PUNCT
ejpam-4774	282	11	44	44	NUM
ejpam-4774	282	12	)	)	PUNCT
ejpam-4774	282	13	figure	figure	NOUN
ejpam-4774	282	14	4	4	NUM
ejpam-4774	282	15	below	below	ADV
ejpam-4774	282	16	,	,	PUNCT
ejpam-4774	282	17	shows	show	VERB
ejpam-4774	282	18	the	the	DET
ejpam-4774	282	19	3d	3d	NOUN
ejpam-4774	282	20	graph	graph	NOUN
ejpam-4774	282	21	of	of	ADP
ejpam-4774	282	22	the	the	DET
ejpam-4774	282	23	exact	exact	ADJ
ejpam-4774	282	24	solution	solution	NOUN
ejpam-4774	282	25	of	of	ADP
ejpam-4774	282	26	the	the	DET
ejpam-4774	282	27	initial	initial	ADJ
ejpam-4774	282	28	boundary	boundary	ADJ
ejpam-4774	282	29	value	value	NOUN
ejpam-4774	282	30	problem	problem	NOUN
ejpam-4774	282	31	(	(	PUNCT
ejpam-4774	282	32	37	37	NUM
ejpam-4774	282	33	)	)	PUNCT
ejpam-4774	282	34	(	(	PUNCT
ejpam-4774	282	35	38	38	NUM
ejpam-4774	282	36	)	)	PUNCT
ejpam-4774	282	37	and	and	CCONJ
ejpam-4774	282	38	(	(	PUNCT
ejpam-4774	282	39	39	39	NUM
ejpam-4774	282	40	)	)	PUNCT
ejpam-4774	282	41	.	.	PUNCT
ejpam-4774	283	1	figure	figure	VERB
ejpam-4774	283	2	4	4	NUM
ejpam-4774	283	3	:	:	PUNCT
ejpam-4774	283	4	exact	exact	ADJ
ejpam-4774	283	5	solution	solution	NOUN
ejpam-4774	283	6	ϕ	ϕ	X
ejpam-4774	283	7	(	(	PUNCT
ejpam-4774	283	8	x	x	PROPN
ejpam-4774	283	9	,	,	PUNCT
ejpam-4774	283	10	t	t	PROPN
ejpam-4774	283	11	)	)	PUNCT
ejpam-4774	283	12	of	of	ADP
ejpam-4774	283	13	problem	problem	NOUN
ejpam-4774	283	14	4	4	NUM
ejpam-4774	283	15	.	.	NOUN
ejpam-4774	283	16	5	5	NUM
ejpam-4774	283	17	.	.	PUNCT
ejpam-4774	283	18	conclusions	conclusion	NOUN
ejpam-4774	283	19	in	in	ADP
ejpam-4774	283	20	this	this	DET
ejpam-4774	283	21	study	study	NOUN
ejpam-4774	283	22	,	,	PUNCT
ejpam-4774	283	23	we	we	PRON
ejpam-4774	283	24	introduced	introduce	VERB
ejpam-4774	283	25	a	a	DET
ejpam-4774	283	26	novel	novel	ADJ
ejpam-4774	283	27	approach	approach	NOUN
ejpam-4774	283	28	in	in	ADP
ejpam-4774	283	29	double	double	ADJ
ejpam-4774	283	30	transform	transform	NOUN
ejpam-4774	283	31	to	to	PART
ejpam-4774	283	32	get	get	VERB
ejpam-4774	283	33	the	the	DET
ejpam-4774	283	34	solutions	solution	NOUN
ejpam-4774	283	35	of	of	ADP
ejpam-4774	283	36	nonlinear	nonlinear	ADJ
ejpam-4774	283	37	partial	partial	ADJ
ejpam-4774	283	38	differential	differential	NOUN
ejpam-4774	283	39	equations	equation	NOUN
ejpam-4774	283	40	with	with	ADP
ejpam-4774	283	41	initial	initial	ADJ
ejpam-4774	283	42	and	and	CCONJ
ejpam-4774	283	43	boundary	boundary	ADJ
ejpam-4774	283	44	conditions	condition	NOUN
ejpam-4774	283	45	.	.	PUNCT
ejpam-4774	284	1	this	this	DET
ejpam-4774	284	2	new	new	ADJ
ejpam-4774	284	3	approach	approach	NOUN
ejpam-4774	284	4	combines	combine	VERB
ejpam-4774	284	5	the	the	DET
ejpam-4774	284	6	double	double	ADJ
ejpam-4774	284	7	ara	ara	NOUN
ejpam-4774	284	8	-	-	PUNCT
ejpam-4774	284	9	sumudu	sumudu	NOUN
ejpam-4774	284	10	transform	transform	NOUN
ejpam-4774	284	11	with	with	ADP
ejpam-4774	284	12	the	the	DET
ejpam-4774	284	13	numerical	numerical	ADJ
ejpam-4774	284	14	technique	technique	NOUN
ejpam-4774	284	15	iterative	iterative	NOUN
ejpam-4774	284	16	method	method	NOUN
ejpam-4774	284	17	.	.	PUNCT
ejpam-4774	285	1	to	to	PART
ejpam-4774	285	2	illustrate	illustrate	VERB
ejpam-4774	285	3	the	the	DET
ejpam-4774	285	4	applicability	applicability	NOUN
ejpam-4774	285	5	and	and	CCONJ
ejpam-4774	285	6	efficiency	efficiency	NOUN
ejpam-4774	285	7	of	of	ADP
ejpam-4774	285	8	the	the	DET
ejpam-4774	285	9	technique	technique	NOUN
ejpam-4774	285	10	,	,	PUNCT
ejpam-4774	285	11	some	some	DET
ejpam-4774	285	12	numerical	numerical	ADJ
ejpam-4774	285	13	examples	example	NOUN
ejpam-4774	285	14	were	be	AUX
ejpam-4774	285	15	considered	consider	VERB
ejpam-4774	285	16	.	.	PUNCT
ejpam-4774	286	1	our	our	PRON
ejpam-4774	286	2	study	study	NOUN
ejpam-4774	286	3	led	lead	VERB
ejpam-4774	286	4	us	we	PRON
ejpam-4774	286	5	to	to	ADP
ejpam-4774	286	6	the	the	DET
ejpam-4774	286	7	conclusion	conclusion	NOUN
ejpam-4774	286	8	that	that	SCONJ
ejpam-4774	286	9	combining	combine	VERB
ejpam-4774	286	10	dara	dara	PROPN
ejpam-4774	286	11	-	-	PUNCT
ejpam-4774	286	12	st	st	PROPN
ejpam-4774	286	13	with	with	ADP
ejpam-4774	286	14	the	the	DET
ejpam-4774	286	15	iterative	iterative	NOUN
ejpam-4774	286	16	technique	technique	NOUN
ejpam-4774	286	17	produces	produce	VERB
ejpam-4774	286	18	effective	effective	ADJ
ejpam-4774	286	19	analytical	analytical	ADJ
ejpam-4774	286	20	results	result	NOUN
ejpam-4774	286	21	with	with	ADP
ejpam-4774	286	22	less	less	ADJ
ejpam-4774	286	23	computational	computational	ADJ
ejpam-4774	286	24	efforts	effort	NOUN
ejpam-4774	286	25	.	.	PUNCT
ejpam-4774	287	1	conflict	conflict	NOUN
ejpam-4774	287	2	of	of	ADP
ejpam-4774	287	3	interest	interest	NOUN
ejpam-4774	287	4	the	the	DET
ejpam-4774	287	5	authors	author	NOUN
ejpam-4774	287	6	declare	declare	VERB
ejpam-4774	287	7	no	no	DET
ejpam-4774	287	8	conflicts	conflict	NOUN
ejpam-4774	287	9	of	of	ADP
ejpam-4774	287	10	interest	interest	NOUN
ejpam-4774	287	11	.	.	PUNCT
ejpam-4774	288	1	references	reference	NOUN
ejpam-4774	288	2	1287	1287	NUM
ejpam-4774	288	3	author	author	NOUN
ejpam-4774	288	4	contributions	contribution	NOUN
ejpam-4774	288	5	all	all	DET
ejpam-4774	288	6	authors	author	NOUN
ejpam-4774	288	7	have	have	VERB
ejpam-4774	288	8	equal	equal	ADJ
ejpam-4774	288	9	contributions	contribution	NOUN
ejpam-4774	288	10	to	to	ADP
ejpam-4774	288	11	the	the	DET
ejpam-4774	288	12	article	article	NOUN
ejpam-4774	288	13	and	and	CCONJ
ejpam-4774	288	14	agreed	agree	VERB
ejpam-4774	288	15	on	on	ADP
ejpam-4774	288	16	the	the	DET
ejpam-4774	288	17	submitted	submit	VERB
ejpam-4774	288	18	version	version	NOUN
ejpam-4774	288	19	.	.	PUNCT
ejpam-4774	289	1	acknowledgements	acknowledgement	NOUN
ejpam-4774	289	2	the	the	DET
ejpam-4774	289	3	authors	author	NOUN
ejpam-4774	289	4	express	express	VERB
ejpam-4774	289	5	their	their	PRON
ejpam-4774	289	6	gratitude	gratitude	NOUN
ejpam-4774	289	7	to	to	ADP
ejpam-4774	289	8	the	the	DET
ejpam-4774	289	9	dear	dear	ADJ
ejpam-4774	289	10	referees	referee	NOUN
ejpam-4774	289	11	,	,	PUNCT
ejpam-4774	289	12	who	who	PRON
ejpam-4774	289	13	wish	wish	VERB
ejpam-4774	289	14	to	to	PART
ejpam-4774	289	15	remain	remain	VERB
ejpam-4774	289	16	anonymous	anonymous	ADJ
ejpam-4774	289	17	,	,	PUNCT
ejpam-4774	289	18	and	and	CCONJ
ejpam-4774	289	19	the	the	DET
ejpam-4774	289	20	editor	editor	NOUN
ejpam-4774	289	21	for	for	ADP
ejpam-4774	289	22	their	their	PRON
ejpam-4774	289	23	helpful	helpful	ADJ
ejpam-4774	289	24	suggestions	suggestion	NOUN
ejpam-4774	289	25	,	,	PUNCT
ejpam-4774	289	26	which	which	PRON
ejpam-4774	289	27	improved	improve	VERB
ejpam-4774	289	28	the	the	DET
ejpam-4774	289	29	final	final	ADJ
ejpam-4774	289	30	version	version	NOUN
ejpam-4774	289	31	of	of	ADP
ejpam-4774	289	32	this	this	DET
ejpam-4774	289	33	paper	paper	NOUN
ejpam-4774	289	34	.	.	PUNCT
ejpam-4774	290	1	references	reference	NOUN
ejpam-4774	290	2	[	[	X
ejpam-4774	290	3	1	1	NUM
ejpam-4774	290	4	]	]	X
ejpam-4774	290	5	g.	g.	PROPN
ejpam-4774	290	6	adomian	adomian	PROPN
ejpam-4774	290	7	.	.	PUNCT
ejpam-4774	291	1	a	a	DET
ejpam-4774	291	2	review	review	NOUN
ejpam-4774	291	3	of	of	ADP
ejpam-4774	291	4	the	the	DET
ejpam-4774	291	5	decomposition	decomposition	NOUN
ejpam-4774	291	6	method	method	NOUN
ejpam-4774	291	7	and	and	CCONJ
ejpam-4774	291	8	some	some	DET
ejpam-4774	291	9	recent	recent	ADJ
ejpam-4774	291	10	results	result	NOUN
ejpam-4774	291	11	for	for	ADP
ejpam-4774	291	12	nonlinear	nonlinear	ADJ
ejpam-4774	291	13	equations	equation	NOUN
ejpam-4774	291	14	.	.	PUNCT
ejpam-4774	292	1	math	math	NOUN
ejpam-4774	292	2	.	.	PUNCT
ejpam-4774	293	1	comput	comput	PROPN
ejpam-4774	293	2	.	.	PUNCT
ejpam-4774	294	1	model	model	PROPN
ejpam-4774	294	2	.	.	PROPN
ejpam-4774	294	3	,	,	PUNCT
ejpam-4774	294	4	13:17–43	13:17–43	NUM
ejpam-4774	294	5	,	,	PUNCT
ejpam-4774	294	6	1990	1990	NUM
ejpam-4774	294	7	.	.	PUNCT
ejpam-4774	295	1	[	[	X
ejpam-4774	295	2	2	2	NUM
ejpam-4774	295	3	]	]	X
ejpam-4774	295	4	s.a	s.a	PROPN
ejpam-4774	295	5	.	.	PROPN
ejpam-4774	295	6	ahmed	ahmed	PROPN
ejpam-4774	295	7	,	,	PUNCT
ejpam-4774	295	8	a.	a.	NOUN
ejpam-4774	295	9	qazza	qazza	PROPN
ejpam-4774	295	10	,	,	PUNCT
ejpam-4774	295	11	and	and	CCONJ
ejpam-4774	295	12	r.	r.	PROPN
ejpam-4774	295	13	saadeh	saadeh	PROPN
ejpam-4774	295	14	.	.	PUNCT
ejpam-4774	296	1	exact	exact	ADJ
ejpam-4774	296	2	solutions	solution	NOUN
ejpam-4774	296	3	of	of	ADP
ejpam-4774	296	4	nonlinear	nonlinear	ADJ
ejpam-4774	296	5	partial	partial	ADJ
ejpam-4774	296	6	differential	differential	ADJ
ejpam-4774	296	7	equations	equation	NOUN
ejpam-4774	296	8	via	via	ADP
ejpam-4774	296	9	the	the	DET
ejpam-4774	296	10	new	new	ADJ
ejpam-4774	296	11	double	double	ADJ
ejpam-4774	296	12	integral	integral	ADJ
ejpam-4774	296	13	transform	transform	NOUN
ejpam-4774	296	14	combined	combine	VERB
ejpam-4774	296	15	with	with	ADP
ejpam-4774	296	16	iterative	iterative	NOUN
ejpam-4774	296	17	method	method	NOUN
ejpam-4774	296	18	.	.	PUNCT
ejpam-4774	297	1	axioms	axiom	NOUN
ejpam-4774	297	2	,	,	PUNCT
ejpam-4774	297	3	11:247	11:247	NUM
ejpam-4774	297	4	,	,	PUNCT
ejpam-4774	297	5	2022	2022	NUM
ejpam-4774	297	6	.	.	PUNCT
ejpam-4774	298	1	[	[	X
ejpam-4774	298	2	3	3	NUM
ejpam-4774	298	3	]	]	X
ejpam-4774	298	4	s.a	s.a	PROPN
ejpam-4774	298	5	.	.	PROPN
ejpam-4774	298	6	ahmed	ahmed	PROPN
ejpam-4774	298	7	,	,	PUNCT
ejpam-4774	298	8	a.	a.	NOUN
ejpam-4774	298	9	qazza	qazza	PROPN
ejpam-4774	298	10	,	,	PUNCT
ejpam-4774	298	11	r.	r.	PROPN
ejpam-4774	298	12	saadeh	saadeh	PROPN
ejpam-4774	298	13	,	,	PUNCT
ejpam-4774	298	14	and	and	CCONJ
ejpam-4774	298	15	t.m	t.m	PROPN
ejpam-4774	298	16	.	.	PROPN
ejpam-4774	298	17	elzaki	elzaki	PROPN
ejpam-4774	298	18	.	.	PUNCT
ejpam-4774	299	1	conformable	conformable	ADJ
ejpam-4774	299	2	double	double	ADJ
ejpam-4774	299	3	laplace	laplace	NOUN
ejpam-4774	299	4	–	–	PUNCT
ejpam-4774	299	5	sumudu	sumudu	NOUN
ejpam-4774	299	6	iterative	iterative	NOUN
ejpam-4774	299	7	method	method	NOUN
ejpam-4774	299	8	.	.	PUNCT
ejpam-4774	300	1	symmetry	symmetry	NOUN
ejpam-4774	300	2	,	,	PUNCT
ejpam-4774	300	3	15(1):78	15(1):78	NUM
ejpam-4774	300	4	,	,	PUNCT
ejpam-4774	300	5	2022	2022	NUM
ejpam-4774	300	6	.	.	PUNCT
ejpam-4774	301	1	[	[	X
ejpam-4774	301	2	4	4	NUM
ejpam-4774	301	3	]	]	X
ejpam-4774	301	4	m.s	m.s	PROPN
ejpam-4774	301	5	.	.	PUNCT
ejpam-4774	301	6	al	al	PROPN
ejpam-4774	301	7	-	-	PUNCT
ejpam-4774	301	8	luhaibi	luhaibi	NOUN
ejpam-4774	301	9	.	.	PUNCT
ejpam-4774	302	1	new	new	ADJ
ejpam-4774	302	2	iterative	iterative	NOUN
ejpam-4774	302	3	method	method	NOUN
ejpam-4774	302	4	for	for	ADP
ejpam-4774	302	5	fractional	fractional	ADJ
ejpam-4774	302	6	gas	gas	NOUN
ejpam-4774	302	7	dynamics	dynamic	NOUN
ejpam-4774	302	8	and	and	CCONJ
ejpam-4774	302	9	coupled	couple	VERB
ejpam-4774	302	10	burger	burger	NOUN
ejpam-4774	302	11	’s	’s	PART
ejpam-4774	302	12	equations	equation	NOUN
ejpam-4774	302	13	.	.	PUNCT
ejpam-4774	303	1	sci	sci	PROPN
ejpam-4774	303	2	.	.	PROPN
ejpam-4774	303	3	world	world	PROPN
ejpam-4774	303	4	j.	j.	PROPN
ejpam-4774	303	5	,	,	PUNCT
ejpam-4774	303	6	2015:153124	2015:153124	NUM
ejpam-4774	303	7	,	,	PUNCT
ejpam-4774	303	8	2015	2015	NUM
ejpam-4774	303	9	.	.	PUNCT
ejpam-4774	304	1	[	[	X
ejpam-4774	304	2	5	5	X
ejpam-4774	304	3	]	]	PUNCT
ejpam-4774	304	4	o.	o.	PROPN
ejpam-4774	304	5	ala’yed	ala’yed	PROPN
ejpam-4774	304	6	,	,	PUNCT
ejpam-4774	304	7	r.	r.	PROPN
ejpam-4774	304	8	saadeh	saadeh	PROPN
ejpam-4774	304	9	,	,	PUNCT
ejpam-4774	304	10	and	and	CCONJ
ejpam-4774	304	11	a.	a.	NOUN
ejpam-4774	304	12	qazza	qazza	PROPN
ejpam-4774	304	13	.	.	PUNCT
ejpam-4774	305	1	numerical	numerical	ADJ
ejpam-4774	305	2	solution	solution	NOUN
ejpam-4774	305	3	for	for	ADP
ejpam-4774	305	4	the	the	DET
ejpam-4774	305	5	system	system	NOUN
ejpam-4774	305	6	of	of	ADP
ejpam-4774	305	7	laneemden	laneemden	ADJ
ejpam-4774	305	8	type	type	NOUN
ejpam-4774	305	9	equations	equation	NOUN
ejpam-4774	305	10	using	use	VERB
ejpam-4774	305	11	cubic	cubic	ADJ
ejpam-4774	305	12	b	b	PROPN
ejpam-4774	305	13	-	-	PUNCT
ejpam-4774	305	14	spline	spline	NOUN
ejpam-4774	305	15	method	method	NOUN
ejpam-4774	305	16	arising	arise	VERB
ejpam-4774	305	17	in	in	ADP
ejpam-4774	305	18	engineering	engineering	NOUN
ejpam-4774	305	19	.	.	PUNCT
ejpam-4774	306	1	aims	aim	VERB
ejpam-4774	306	2	mathematics	mathematic	NOUN
ejpam-4774	306	3	,	,	PUNCT
ejpam-4774	306	4	8(6):14747–14766	8(6):14747–14766	NUM
ejpam-4774	306	5	,	,	PUNCT
ejpam-4774	306	6	2023	2023	NUM
ejpam-4774	306	7	.	.	PUNCT
ejpam-4774	307	1	[	[	X
ejpam-4774	307	2	6	6	NUM
ejpam-4774	307	3	]	]	X
ejpam-4774	307	4	n.	n.	PROPN
ejpam-4774	307	5	azhar	azhar	PROPN
ejpam-4774	307	6	and	and	CCONJ
ejpam-4774	307	7	s.	s.	PROPN
ejpam-4774	307	8	iqbal	iqbal	PROPN
ejpam-4774	307	9	.	.	PUNCT
ejpam-4774	308	1	solution	solution	NOUN
ejpam-4774	308	2	of	of	ADP
ejpam-4774	308	3	fuzzy	fuzzy	ADJ
ejpam-4774	308	4	fractional	fractional	ADJ
ejpam-4774	308	5	order	order	NOUN
ejpam-4774	308	6	differential	differential	ADJ
ejpam-4774	308	7	equations	equation	NOUN
ejpam-4774	308	8	by	by	ADP
ejpam-4774	308	9	fractional	fractional	ADJ
ejpam-4774	308	10	mellin	mellin	PROPN
ejpam-4774	308	11	transform	transform	NOUN
ejpam-4774	308	12	method	method	NOUN
ejpam-4774	308	13	.	.	PUNCT
ejpam-4774	309	1	journal	journal	NOUN
ejpam-4774	309	2	of	of	ADP
ejpam-4774	309	3	computational	computational	ADJ
ejpam-4774	309	4	and	and	CCONJ
ejpam-4774	309	5	applied	applied	ADJ
ejpam-4774	309	6	mathematics	mathematic	NOUN
ejpam-4774	309	7	,	,	PUNCT
ejpam-4774	309	8	400:113727	400:113727	NUM
ejpam-4774	309	9	,	,	PUNCT
ejpam-4774	309	10	2022	2022	NUM
ejpam-4774	309	11	.	.	PUNCT
ejpam-4774	310	1	[	[	X
ejpam-4774	310	2	7	7	X
ejpam-4774	310	3	]	]	X
ejpam-4774	310	4	r.r	r.r	PROPN
ejpam-4774	310	5	.	.	PROPN
ejpam-4774	310	6	dhunde	dhunde	PROPN
ejpam-4774	310	7	and	and	CCONJ
ejpam-4774	310	8	g.l	g.l	PROPN
ejpam-4774	310	9	.	.	PROPN
ejpam-4774	310	10	waghamare	waghamare	PROPN
ejpam-4774	310	11	.	.	PUNCT
ejpam-4774	311	1	analytical	analytical	ADJ
ejpam-4774	311	2	solution	solution	NOUN
ejpam-4774	311	3	of	of	ADP
ejpam-4774	311	4	the	the	DET
ejpam-4774	311	5	nonlinear	nonlinear	PROPN
ejpam-4774	311	6	klein	klein	PROPN
ejpam-4774	311	7	-	-	PUNCT
ejpam-4774	311	8	gordon	gordon	PROPN
ejpam-4774	311	9	equation	equation	NOUN
ejpam-4774	311	10	using	use	VERB
ejpam-4774	311	11	double	double	ADJ
ejpam-4774	311	12	laplace	laplace	NOUN
ejpam-4774	311	13	transform	transform	NOUN
ejpam-4774	311	14	and	and	CCONJ
ejpam-4774	311	15	iterative	iterative	NOUN
ejpam-4774	311	16	method	method	NOUN
ejpam-4774	311	17	.	.	PUNCT
ejpam-4774	312	1	am	be	AUX
ejpam-4774	312	2	.	.	PUNCT
ejpam-4774	313	1	j.	j.	PROPN
ejpam-4774	313	2	comput	comput	PROPN
ejpam-4774	313	3	.	.	PUNCT
ejpam-4774	314	1	appl	appl	PROPN
ejpam-4774	314	2	.	.	PROPN
ejpam-4774	314	3	math	math	PROPN
ejpam-4774	314	4	.	.	PUNCT
ejpam-4774	314	5	,	,	PUNCT
ejpam-4774	315	1	6:195–201	6:195–201	NOUN
ejpam-4774	315	2	,	,	PUNCT
ejpam-4774	315	3	2016	2016	NUM
ejpam-4774	315	4	.	.	PUNCT
ejpam-4774	316	1	[	[	X
ejpam-4774	316	2	8	8	NUM
ejpam-4774	316	3	]	]	X
ejpam-4774	316	4	r.r	r.r	PROPN
ejpam-4774	316	5	.	.	PROPN
ejpam-4774	316	6	dhunde	dhunde	PROPN
ejpam-4774	316	7	and	and	CCONJ
ejpam-4774	316	8	g.l	g.l	PROPN
ejpam-4774	316	9	.	.	PROPN
ejpam-4774	316	10	waghamare	waghamare	PROPN
ejpam-4774	316	11	.	.	PUNCT
ejpam-4774	317	1	double	double	ADJ
ejpam-4774	317	2	laplace	laplace	NOUN
ejpam-4774	317	3	transform	transform	NOUN
ejpam-4774	317	4	combined	combine	VERB
ejpam-4774	317	5	with	with	ADP
ejpam-4774	317	6	iterative	iterative	NOUN
ejpam-4774	317	7	method	method	NOUN
ejpam-4774	317	8	for	for	ADP
ejpam-4774	317	9	solving	solve	VERB
ejpam-4774	317	10	non	non	ADJ
ejpam-4774	317	11	-	-	ADJ
ejpam-4774	317	12	linear	linear	ADJ
ejpam-4774	317	13	telegraph	telegraph	NOUN
ejpam-4774	317	14	equation	equation	NOUN
ejpam-4774	317	15	.	.	PUNCT
ejpam-4774	318	1	j.	j.	PROPN
ejpam-4774	318	2	indian	indian	PROPN
ejpam-4774	318	3	math	math	PROPN
ejpam-4774	318	4	.	.	PUNCT
ejpam-4774	319	1	soc	soc	PROPN
ejpam-4774	319	2	.	.	PROPN
ejpam-4774	319	3	,	,	PUNCT
ejpam-4774	319	4	83:221–230	83:221–230	PROPN
ejpam-4774	319	5	,	,	PUNCT
ejpam-4774	319	6	2016	2016	NUM
ejpam-4774	319	7	.	.	PUNCT
ejpam-4774	320	1	[	[	X
ejpam-4774	320	2	9	9	NUM
ejpam-4774	320	3	]	]	X
ejpam-4774	320	4	h.	h.	PROPN
ejpam-4774	320	5	eltayeb	eltayeb	PROPN
ejpam-4774	320	6	and	and	CCONJ
ejpam-4774	320	7	a.	a.	NOUN
ejpam-4774	320	8	kiliçman	kiliçman	PROPN
ejpam-4774	320	9	.	.	PUNCT
ejpam-4774	321	1	on	on	ADP
ejpam-4774	321	2	double	double	ADJ
ejpam-4774	321	3	sumudu	sumudu	NOUN
ejpam-4774	321	4	transform	transform	NOUN
ejpam-4774	321	5	and	and	CCONJ
ejpam-4774	321	6	double	double	ADJ
ejpam-4774	321	7	laplace	laplace	NOUN
ejpam-4774	321	8	transform	transform	NOUN
ejpam-4774	321	9	.	.	PUNCT
ejpam-4774	321	10	malays	malays	PROPN
ejpam-4774	321	11	.	.	PUNCT
ejpam-4774	322	1	j.	j.	PROPN
ejpam-4774	322	2	math	math	PROPN
ejpam-4774	322	3	.	.	PUNCT
ejpam-4774	323	1	sci	sci	PROPN
ejpam-4774	323	2	.	.	PROPN
ejpam-4774	323	3	,	,	PUNCT
ejpam-4774	323	4	4:17–30	4:17–30	PROPN
ejpam-4774	323	5	,	,	PUNCT
ejpam-4774	323	6	2010	2010	NUM
ejpam-4774	323	7	.	.	PUNCT
ejpam-4774	324	1	[	[	X
ejpam-4774	324	2	10	10	NUM
ejpam-4774	324	3	]	]	X
ejpam-4774	324	4	v.d	v.d	PROPN
ejpam-4774	324	5	.	.	PROPN
ejpam-4774	324	6	gejji	gejji	PROPN
ejpam-4774	324	7	and	and	CCONJ
ejpam-4774	324	8	h.	h.	PROPN
ejpam-4774	324	9	jafari	jafari	PROPN
ejpam-4774	324	10	.	.	PUNCT
ejpam-4774	325	1	an	an	DET
ejpam-4774	325	2	iterative	iterative	NOUN
ejpam-4774	325	3	method	method	NOUN
ejpam-4774	325	4	for	for	ADP
ejpam-4774	325	5	solving	solve	VERB
ejpam-4774	325	6	nonlinear	nonlinear	ADJ
ejpam-4774	325	7	functional	functional	ADJ
ejpam-4774	325	8	equations	equation	NOUN
ejpam-4774	325	9	.	.	PUNCT
ejpam-4774	326	1	j.	j.	PROPN
ejpam-4774	326	2	math	math	PROPN
ejpam-4774	326	3	.	.	PUNCT
ejpam-4774	327	1	anal	anal	PROPN
ejpam-4774	327	2	.	.	PUNCT
ejpam-4774	328	1	appl	appl	PROPN
ejpam-4774	328	2	.	.	PROPN
ejpam-4774	328	3	,	,	PUNCT
ejpam-4774	328	4	316:753–763	316:753–763	NUM
ejpam-4774	328	5	,	,	PUNCT
ejpam-4774	328	6	2006	2006	NUM
ejpam-4774	328	7	.	.	PUNCT
ejpam-4774	329	1	references	reference	NOUN
ejpam-4774	329	2	1288	1288	NUM
ejpam-4774	329	3	[	[	X
ejpam-4774	329	4	11	11	NUM
ejpam-4774	329	5	]	]	X
ejpam-4774	329	6	d.	d.	PROPN
ejpam-4774	329	7	kaya	kaya	PROPN
ejpam-4774	329	8	.	.	PUNCT
ejpam-4774	330	1	a	a	DET
ejpam-4774	330	2	new	new	ADJ
ejpam-4774	330	3	approach	approach	NOUN
ejpam-4774	330	4	to	to	PART
ejpam-4774	330	5	solve	solve	VERB
ejpam-4774	330	6	a	a	DET
ejpam-4774	330	7	nonlinear	nonlinear	ADJ
ejpam-4774	330	8	wave	wave	NOUN
ejpam-4774	330	9	equation	equation	NOUN
ejpam-4774	330	10	.	.	PUNCT
ejpam-4774	331	1	bull	bull	NOUN
ejpam-4774	331	2	.	.	PUNCT
ejpam-4774	332	1	malays	malays	PROPN
ejpam-4774	332	2	.	.	PUNCT
ejpam-4774	333	1	math	math	NOUN
ejpam-4774	333	2	.	.	PUNCT
ejpam-4774	334	1	soc	soc	PROPN
ejpam-4774	334	2	.	.	PUNCT
ejpam-4774	334	3	,	,	PUNCT
ejpam-4774	334	4	21:95–100	21:95–100	NUM
ejpam-4774	334	5	,	,	PUNCT
ejpam-4774	334	6	1998	1998	NUM
ejpam-4774	334	7	.	.	PUNCT
ejpam-4774	335	1	[	[	X
ejpam-4774	335	2	12	12	NUM
ejpam-4774	335	3	]	]	X
ejpam-4774	335	4	d.	d.	PROPN
ejpam-4774	335	5	kaya	kaya	PROPN
ejpam-4774	335	6	and	and	CCONJ
ejpam-4774	335	7	m.	m.	PROPN
ejpam-4774	335	8	inc	inc	PROPN
ejpam-4774	335	9	.	.	PROPN
ejpam-4774	335	10	on	on	ADP
ejpam-4774	335	11	the	the	DET
ejpam-4774	335	12	solution	solution	NOUN
ejpam-4774	335	13	of	of	ADP
ejpam-4774	335	14	the	the	DET
ejpam-4774	335	15	nonlinear	nonlinear	ADJ
ejpam-4774	335	16	wave	wave	NOUN
ejpam-4774	335	17	equation	equation	NOUN
ejpam-4774	335	18	by	by	ADP
ejpam-4774	335	19	the	the	DET
ejpam-4774	335	20	decomposition	decomposition	NOUN
ejpam-4774	335	21	method	method	NOUN
ejpam-4774	335	22	.	.	PUNCT
ejpam-4774	336	1	bull	bull	NOUN
ejpam-4774	336	2	.	.	PUNCT
ejpam-4774	337	1	malays	malays	PROPN
ejpam-4774	337	2	.	.	PUNCT
ejpam-4774	338	1	math	math	NOUN
ejpam-4774	338	2	.	.	PUNCT
ejpam-4774	339	1	soc	soc	PROPN
ejpam-4774	339	2	.	.	PUNCT
ejpam-4774	339	3	,	,	PUNCT
ejpam-4774	339	4	22:151–155	22:151–155	NUM
ejpam-4774	339	5	,	,	PUNCT
ejpam-4774	339	6	1999	1999	NUM
ejpam-4774	339	7	.	.	PUNCT
ejpam-4774	340	1	[	[	X
ejpam-4774	340	2	13	13	NUM
ejpam-4774	340	3	]	]	X
ejpam-4774	340	4	y.	y.	PROPN
ejpam-4774	340	5	keskin	keskin	PROPN
ejpam-4774	340	6	and	and	CCONJ
ejpam-4774	340	7	g.	g.	PROPN
ejpam-4774	340	8	oturanc	oturanc	PROPN
ejpam-4774	340	9	.	.	PUNCT
ejpam-4774	341	1	reduced	reduce	VERB
ejpam-4774	341	2	differential	differential	ADJ
ejpam-4774	341	3	transform	transform	NOUN
ejpam-4774	341	4	method	method	NOUN
ejpam-4774	341	5	for	for	ADP
ejpam-4774	341	6	generalized	generalized	ADJ
ejpam-4774	341	7	kdv	kdv	NOUN
ejpam-4774	341	8	equations	equation	NOUN
ejpam-4774	341	9	.	.	PUNCT
ejpam-4774	342	1	math	math	NOUN
ejpam-4774	342	2	.	.	PUNCT
ejpam-4774	343	1	comput	comput	NOUN
ejpam-4774	343	2	.	.	PUNCT
ejpam-4774	344	1	appl	appl	PROPN
ejpam-4774	344	2	.	.	PROPN
ejpam-4774	344	3	,	,	PUNCT
ejpam-4774	344	4	15:382–393	15:382–393	PROPN
ejpam-4774	344	5	,	,	PUNCT
ejpam-4774	344	6	2010	2010	NUM
ejpam-4774	344	7	.	.	PUNCT
ejpam-4774	345	1	[	[	X
ejpam-4774	345	2	14	14	NUM
ejpam-4774	345	3	]	]	X
ejpam-4774	345	4	y.	y.	PROPN
ejpam-4774	345	5	keskin	keskin	PROPN
ejpam-4774	345	6	and	and	CCONJ
ejpam-4774	345	7	g.	g.	PROPN
ejpam-4774	345	8	oturanc	oturanc	PROPN
ejpam-4774	345	9	.	.	PUNCT
ejpam-4774	346	1	reduced	reduce	VERB
ejpam-4774	346	2	differential	differential	ADJ
ejpam-4774	346	3	transform	transform	NOUN
ejpam-4774	346	4	method	method	NOUN
ejpam-4774	346	5	for	for	ADP
ejpam-4774	346	6	solving	solve	VERB
ejpam-4774	346	7	linear	linear	NOUN
ejpam-4774	346	8	and	and	CCONJ
ejpam-4774	346	9	nonlinear	nonlinear	ADJ
ejpam-4774	346	10	wave	wave	NOUN
ejpam-4774	346	11	equations	equation	NOUN
ejpam-4774	346	12	.	.	PUNCT
ejpam-4774	347	1	iran	iran	PROPN
ejpam-4774	347	2	.	.	PUNCT
ejpam-4774	348	1	j.	j.	PROPN
ejpam-4774	348	2	sci	sci	PROPN
ejpam-4774	348	3	.	.	PROPN
ejpam-4774	348	4	technol	technol	PROPN
ejpam-4774	348	5	.	.	PUNCT
ejpam-4774	349	1	trans	trans	PROPN
ejpam-4774	349	2	.	.	PUNCT
ejpam-4774	350	1	a	a	DET
ejpam-4774	350	2	,	,	PUNCT
ejpam-4774	350	3	34:113–122	34:113–122	PROPN
ejpam-4774	350	4	,	,	PUNCT
ejpam-4774	350	5	2010	2010	NUM
ejpam-4774	350	6	.	.	PUNCT
ejpam-4774	351	1	[	[	X
ejpam-4774	351	2	15	15	NUM
ejpam-4774	351	3	]	]	X
ejpam-4774	351	4	m.a	m.a	PROPN
ejpam-4774	351	5	.	.	PROPN
ejpam-4774	351	6	khater	khater	PROPN
ejpam-4774	351	7	.	.	PUNCT
ejpam-4774	352	1	diverse	diverse	ADJ
ejpam-4774	352	2	solitary	solitary	ADJ
ejpam-4774	352	3	and	and	CCONJ
ejpam-4774	352	4	jacobian	jacobian	ADJ
ejpam-4774	352	5	solutions	solution	NOUN
ejpam-4774	352	6	in	in	ADP
ejpam-4774	352	7	a	a	DET
ejpam-4774	352	8	continually	continually	ADV
ejpam-4774	352	9	laminated	laminate	VERB
ejpam-4774	352	10	fluid	fluid	NOUN
ejpam-4774	352	11	with	with	ADP
ejpam-4774	352	12	respect	respect	NOUN
ejpam-4774	352	13	to	to	ADP
ejpam-4774	352	14	shear	shear	NOUN
ejpam-4774	352	15	flows	flow	NOUN
ejpam-4774	352	16	through	through	ADP
ejpam-4774	352	17	the	the	DET
ejpam-4774	352	18	ostrovsky	ostrovsky	ADJ
ejpam-4774	352	19	equation	equation	NOUN
ejpam-4774	352	20	.	.	PUNCT
ejpam-4774	353	1	mod	mod	PROPN
ejpam-4774	353	2	.	.	PUNCT
ejpam-4774	354	1	phys	phys	PROPN
ejpam-4774	354	2	.	.	PUNCT
ejpam-4774	355	1	lett	lett	PROPN
ejpam-4774	355	2	.	.	PROPN
ejpam-4774	355	3	,	,	PUNCT
ejpam-4774	355	4	35:2150220	35:2150220	NUM
ejpam-4774	355	5	,	,	PUNCT
ejpam-4774	355	6	2021	2021	NUM
ejpam-4774	355	7	.	.	PUNCT
ejpam-4774	356	1	[	[	X
ejpam-4774	356	2	16	16	NUM
ejpam-4774	356	3	]	]	PUNCT
ejpam-4774	356	4	m.o.eshag	m.o.eshag	PROPN
ejpam-4774	356	5	.	.	PUNCT
ejpam-4774	357	1	on	on	ADP
ejpam-4774	357	2	double	double	ADJ
ejpam-4774	357	3	laplace	laplace	NOUN
ejpam-4774	357	4	transform	transform	NOUN
ejpam-4774	357	5	and	and	CCONJ
ejpam-4774	357	6	double	double	ADJ
ejpam-4774	357	7	sumudu	sumudu	NOUN
ejpam-4774	357	8	transform	transform	NOUN
ejpam-4774	357	9	.	.	PUNCT
ejpam-4774	357	10	am	be	AUX
ejpam-4774	357	11	.	.	PUNCT
ejpam-4774	358	1	j.	j.	PROPN
ejpam-4774	358	2	eng	eng	PROPN
ejpam-4774	358	3	.	.	PUNCT
ejpam-4774	359	1	res	res	PROPN
ejpam-4774	359	2	.	.	PROPN
ejpam-4774	359	3	,	,	PUNCT
ejpam-4774	359	4	6:312–317	6:312–317	NOUN
ejpam-4774	359	5	,	,	PUNCT
ejpam-4774	359	6	2017	2017	NUM
ejpam-4774	359	7	.	.	PUNCT
ejpam-4774	360	1	[	[	X
ejpam-4774	360	2	17	17	NUM
ejpam-4774	360	3	]	]	PUNCT
ejpam-4774	360	4	s.	s.	PROPN
ejpam-4774	360	5	pamuk	pamuk	PROPN
ejpam-4774	360	6	.	.	PUNCT
ejpam-4774	361	1	solution	solution	NOUN
ejpam-4774	361	2	of	of	ADP
ejpam-4774	361	3	the	the	DET
ejpam-4774	361	4	porous	porous	ADJ
ejpam-4774	361	5	media	medium	NOUN
ejpam-4774	361	6	equation	equation	NOUN
ejpam-4774	361	7	by	by	ADP
ejpam-4774	361	8	adomian	adomian	NOUN
ejpam-4774	361	9	’s	’s	PART
ejpam-4774	361	10	decomposition	decomposition	NOUN
ejpam-4774	361	11	method	method	NOUN
ejpam-4774	361	12	.	.	PUNCT
ejpam-4774	362	1	phys	phy	NOUN
ejpam-4774	362	2	.	.	PUNCT
ejpam-4774	363	1	lett	lett	PROPN
ejpam-4774	363	2	.	.	PUNCT
ejpam-4774	364	1	a	a	DET
ejpam-4774	364	2	,	,	PUNCT
ejpam-4774	364	3	344:184–188	344:184–188	NUM
ejpam-4774	364	4	,	,	PUNCT
ejpam-4774	364	5	2005	2005	NUM
ejpam-4774	364	6	.	.	PUNCT
ejpam-4774	365	1	[	[	X
ejpam-4774	365	2	18	18	NUM
ejpam-4774	365	3	]	]	PUNCT
ejpam-4774	365	4	a.	a.	NOUN
ejpam-4774	365	5	qazza	qazza	PROPN
ejpam-4774	365	6	,	,	PUNCT
ejpam-4774	365	7	a.	a.	PROPN
ejpam-4774	365	8	burqan	burqan	PROPN
ejpam-4774	365	9	,	,	PUNCT
ejpam-4774	365	10	r.	r.	PROPN
ejpam-4774	365	11	saadeh	saadeh	PROPN
ejpam-4774	365	12	,	,	PUNCT
ejpam-4774	365	13	and	and	CCONJ
ejpam-4774	365	14	r.	r.	PROPN
ejpam-4774	365	15	khalil	khalil	PROPN
ejpam-4774	365	16	.	.	PUNCT
ejpam-4774	366	1	applications	application	NOUN
ejpam-4774	366	2	on	on	ADP
ejpam-4774	366	3	double	double	ADJ
ejpam-4774	366	4	ara	ara	NOUN
ejpam-4774	366	5	–	–	PUNCT
ejpam-4774	366	6	sumudu	sumudu	NOUN
ejpam-4774	366	7	transform	transform	NOUN
ejpam-4774	366	8	in	in	ADP
ejpam-4774	366	9	solving	solve	VERB
ejpam-4774	366	10	fractional	fractional	ADJ
ejpam-4774	366	11	partial	partial	ADJ
ejpam-4774	366	12	differential	differential	NOUN
ejpam-4774	366	13	equations	equation	NOUN
ejpam-4774	366	14	.	.	PUNCT
ejpam-4774	367	1	symmetry	symmetry	PROPN
ejpam-4774	367	2	,	,	PUNCT
ejpam-4774	367	3	14(9):1817	14(9):1817	NUM
ejpam-4774	367	4	,	,	PUNCT
ejpam-4774	367	5	2022	2022	NUM
ejpam-4774	367	6	.	.	PUNCT
ejpam-4774	368	1	[	[	X
ejpam-4774	368	2	19	19	NUM
ejpam-4774	368	3	]	]	PUNCT
ejpam-4774	368	4	a.	a.	NOUN
ejpam-4774	368	5	qazza	qazza	PROPN
ejpam-4774	368	6	,	,	PUNCT
ejpam-4774	368	7	r.	r.	PROPN
ejpam-4774	368	8	saadeh	saadeh	PROPN
ejpam-4774	368	9	,	,	PUNCT
ejpam-4774	368	10	and	and	CCONJ
ejpam-4774	368	11	e.	e.	PROPN
ejpam-4774	368	12	salah	salah	PROPN
ejpam-4774	368	13	.	.	PUNCT
ejpam-4774	369	1	solving	solve	VERB
ejpam-4774	369	2	fractional	fractional	ADJ
ejpam-4774	369	3	partial	partial	ADJ
ejpam-4774	369	4	differential	differential	NOUN
ejpam-4774	369	5	equations	equation	NOUN
ejpam-4774	369	6	via	via	ADP
ejpam-4774	369	7	a	a	DET
ejpam-4774	369	8	new	new	ADJ
ejpam-4774	369	9	scheme	scheme	NOUN
ejpam-4774	369	10	.	.	PUNCT
ejpam-4774	370	1	aims	aim	VERB
ejpam-4774	370	2	mathematics	mathematic	NOUN
ejpam-4774	370	3	,	,	PUNCT
ejpam-4774	370	4	8(3):5318–5337	8(3):5318–5337	NUM
ejpam-4774	370	5	,	,	PUNCT
ejpam-4774	370	6	2023	2023	NUM
ejpam-4774	370	7	.	.	PUNCT
ejpam-4774	371	1	[	[	X
ejpam-4774	371	2	20	20	NUM
ejpam-4774	371	3	]	]	PUNCT
ejpam-4774	371	4	m.	m.	NOUN
ejpam-4774	371	5	rafei	rafei	NOUN
ejpam-4774	371	6	and	and	CCONJ
ejpam-4774	371	7	d.d	d.d	PROPN
ejpam-4774	371	8	.	.	PROPN
ejpam-4774	371	9	ganji	ganji	PROPN
ejpam-4774	371	10	.	.	PUNCT
ejpam-4774	372	1	explicit	explicit	ADJ
ejpam-4774	372	2	solutions	solution	NOUN
ejpam-4774	372	3	of	of	ADP
ejpam-4774	372	4	helmholtz	helmholtz	NOUN
ejpam-4774	372	5	equation	equation	NOUN
ejpam-4774	372	6	and	and	CCONJ
ejpam-4774	372	7	fifth	fifth	ADJ
ejpam-4774	372	8	-	-	PUNCT
ejpam-4774	372	9	order	order	NOUN
ejpam-4774	372	10	kdv	kdv	NOUN
ejpam-4774	372	11	equation	equation	NOUN
ejpam-4774	372	12	using	use	VERB
ejpam-4774	372	13	homotopy	homotopy	NOUN
ejpam-4774	372	14	perturbation	perturbation	NOUN
ejpam-4774	372	15	method	method	NOUN
ejpam-4774	372	16	.	.	PUNCT
ejpam-4774	373	1	int	int	NOUN
ejpam-4774	373	2	.	.	PUNCT
ejpam-4774	374	1	j.	j.	PROPN
ejpam-4774	374	2	nonlinear	nonlinear	PROPN
ejpam-4774	374	3	sci	sci	PROPN
ejpam-4774	374	4	.	.	PUNCT
ejpam-4774	374	5	numer	numer	PROPN
ejpam-4774	374	6	.	.	PUNCT
ejpam-4774	375	1	simul	simul	PROPN
ejpam-4774	375	2	.	.	PROPN
ejpam-4774	375	3	,	,	PUNCT
ejpam-4774	376	1	7:321–329	7:321–329	PROPN
ejpam-4774	376	2	,	,	PUNCT
ejpam-4774	376	3	2006	2006	NUM
ejpam-4774	376	4	.	.	PUNCT
ejpam-4774	377	1	[	[	X
ejpam-4774	377	2	21	21	NUM
ejpam-4774	377	3	]	]	X
ejpam-4774	377	4	r.	r.	PROPN
ejpam-4774	377	5	saadeh	saadeh	PROPN
ejpam-4774	377	6	,	,	PUNCT
ejpam-4774	377	7	a.	a.	NOUN
ejpam-4774	377	8	qazza	qazza	PROPN
ejpam-4774	377	9	,	,	PUNCT
ejpam-4774	377	10	and	and	CCONJ
ejpam-4774	377	11	k.	k.	PROPN
ejpam-4774	377	12	amawi	amawi	PROPN
ejpam-4774	377	13	.	.	PUNCT
ejpam-4774	378	1	a	a	DET
ejpam-4774	378	2	new	new	ADJ
ejpam-4774	378	3	approach	approach	NOUN
ejpam-4774	378	4	using	use	VERB
ejpam-4774	378	5	integral	integral	ADJ
ejpam-4774	378	6	transform	transform	NOUN
ejpam-4774	378	7	to	to	PART
ejpam-4774	378	8	solve	solve	VERB
ejpam-4774	378	9	cancer	cancer	NOUN
ejpam-4774	378	10	models	model	NOUN
ejpam-4774	378	11	.	.	PUNCT
ejpam-4774	379	1	fractal	fractal	ADJ
ejpam-4774	379	2	and	and	CCONJ
ejpam-4774	379	3	fractional	fractional	ADJ
ejpam-4774	379	4	,	,	PUNCT
ejpam-4774	379	5	6(9):490	6(9):490	NUM
ejpam-4774	379	6	,	,	PUNCT
ejpam-4774	379	7	2022	2022	NUM
ejpam-4774	379	8	.	.	PUNCT
ejpam-4774	380	1	[	[	X
ejpam-4774	380	2	22	22	NUM
ejpam-4774	380	3	]	]	X
ejpam-4774	380	4	r.	r.	PROPN
ejpam-4774	380	5	saadeh	saadeh	PROPN
ejpam-4774	380	6	,	,	PUNCT
ejpam-4774	380	7	a.	a.	NOUN
ejpam-4774	380	8	qazza	qazza	PROPN
ejpam-4774	380	9	,	,	PUNCT
ejpam-4774	380	10	and	and	CCONJ
ejpam-4774	380	11	burqan	burqan	NOUN
ejpam-4774	380	12	.	.	PUNCT
ejpam-4774	381	1	a	a	DET
ejpam-4774	381	2	new	new	ADJ
ejpam-4774	381	3	integral	integral	ADJ
ejpam-4774	381	4	transform	transform	NOUN
ejpam-4774	381	5	:	:	PUNCT
ejpam-4774	381	6	ara	ara	NOUN
ejpam-4774	381	7	transform	transform	NOUN
ejpam-4774	381	8	and	and	CCONJ
ejpam-4774	381	9	its	its	PRON
ejpam-4774	381	10	properties	property	NOUN
ejpam-4774	381	11	and	and	CCONJ
ejpam-4774	381	12	applications	application	NOUN
ejpam-4774	381	13	.	.	PUNCT
ejpam-4774	382	1	symmetry	symmetry	NOUN
ejpam-4774	382	2	,	,	PUNCT
ejpam-4774	382	3	12:925	12:925	NUM
ejpam-4774	382	4	,	,	PUNCT
ejpam-4774	382	5	2020	2020	NUM
ejpam-4774	382	6	.	.	PUNCT
ejpam-4774	383	1	[	[	X
ejpam-4774	383	2	23	23	NUM
ejpam-4774	383	3	]	]	X
ejpam-4774	383	4	r.	r.	PROPN
ejpam-4774	383	5	saadeh	saadeh	PROPN
ejpam-4774	383	6	,	,	PUNCT
ejpam-4774	383	7	a.	a.	NOUN
ejpam-4774	383	8	qazza	qazza	PROPN
ejpam-4774	383	9	,	,	PUNCT
ejpam-4774	383	10	and	and	CCONJ
ejpam-4774	383	11	a.	a.	NOUN
ejpam-4774	383	12	burqan	burqan	PROPN
ejpam-4774	383	13	.	.	PUNCT
ejpam-4774	384	1	on	on	ADP
ejpam-4774	384	2	the	the	DET
ejpam-4774	384	3	double	double	ADJ
ejpam-4774	384	4	ara	ara	NOUN
ejpam-4774	384	5	-	-	PUNCT
ejpam-4774	384	6	sumudu	sumudu	NOUN
ejpam-4774	384	7	transform	transform	NOUN
ejpam-4774	384	8	and	and	CCONJ
ejpam-4774	384	9	its	its	PRON
ejpam-4774	384	10	applications	application	NOUN
ejpam-4774	384	11	.	.	PUNCT
ejpam-4774	385	1	mathematics	mathematic	NOUN
ejpam-4774	385	2	,	,	PUNCT
ejpam-4774	385	3	10(15):2581	10(15):2581	NUM
ejpam-4774	385	4	,	,	PUNCT
ejpam-4774	385	5	2022	2022	NUM
ejpam-4774	385	6	.	.	PUNCT
ejpam-4774	386	1	[	[	X
ejpam-4774	386	2	24	24	NUM
ejpam-4774	386	3	]	]	X
ejpam-4774	386	4	e.	e.	PROPN
ejpam-4774	386	5	salah	salah	PROPN
ejpam-4774	386	6	,	,	PUNCT
ejpam-4774	386	7	a.	a.	NOUN
ejpam-4774	386	8	qazza	qazza	PROPN
ejpam-4774	386	9	,	,	PUNCT
ejpam-4774	386	10	r.	r.	PROPN
ejpam-4774	386	11	saadeh	saadeh	PROPN
ejpam-4774	386	12	,	,	PUNCT
ejpam-4774	386	13	and	and	CCONJ
ejpam-4774	386	14	a.	a.	PROPN
ejpam-4774	386	15	el	el	PROPN
ejpam-4774	386	16	-	-	PUNCT
ejpam-4774	386	17	ajou	ajou	ADJ
ejpam-4774	386	18	.	.	PUNCT
ejpam-4774	387	1	a	a	DET
ejpam-4774	387	2	hybrid	hybrid	ADJ
ejpam-4774	387	3	analytical	analytical	ADJ
ejpam-4774	387	4	technique	technique	NOUN
ejpam-4774	387	5	for	for	ADP
ejpam-4774	387	6	solving	solve	VERB
ejpam-4774	387	7	multi	multi	ADJ
ejpam-4774	387	8	-	-	ADJ
ejpam-4774	387	9	dimensional	dimensional	ADJ
ejpam-4774	387	10	time	time	NOUN
ejpam-4774	387	11	-	-	PUNCT
ejpam-4774	387	12	fractional	fractional	ADJ
ejpam-4774	387	13	navier	navier	NOUN
ejpam-4774	387	14	-	-	PUNCT
ejpam-4774	387	15	stokes	stoke	NOUN
ejpam-4774	387	16	system	system	NOUN
ejpam-4774	387	17	.	.	PUNCT
ejpam-4774	388	1	aims	aim	VERB
ejpam-4774	388	2	mathematics	mathematic	NOUN
ejpam-4774	388	3	,	,	PUNCT
ejpam-4774	388	4	8(1):1713–1736	8(1):1713–1736	PROPN
ejpam-4774	388	5	,	,	PUNCT
ejpam-4774	388	6	2023	2023	NUM
ejpam-4774	388	7	.	.	PUNCT
ejpam-4774	389	1	[	[	X
ejpam-4774	389	2	25	25	NUM
ejpam-4774	389	3	]	]	X
ejpam-4774	389	4	e.	e.	PROPN
ejpam-4774	389	5	salah	salah	PROPN
ejpam-4774	389	6	,	,	PUNCT
ejpam-4774	389	7	r.	r.	PROPN
ejpam-4774	389	8	saadeh	saadeh	PROPN
ejpam-4774	389	9	,	,	PUNCT
ejpam-4774	389	10	a.	a.	NOUN
ejpam-4774	389	11	qazza	qazza	PROPN
ejpam-4774	389	12	,	,	PUNCT
ejpam-4774	389	13	and	and	CCONJ
ejpam-4774	389	14	r.	r.	PROPN
ejpam-4774	389	15	hatamleh	hatamleh	PROPN
ejpam-4774	389	16	.	.	PUNCT
ejpam-4774	390	1	direct	direct	ADJ
ejpam-4774	390	2	power	power	NOUN
ejpam-4774	390	3	series	series	PROPN
ejpam-4774	390	4	approach	approach	NOUN
ejpam-4774	390	5	for	for	ADP
ejpam-4774	390	6	solving	solve	VERB
ejpam-4774	390	7	nonlinear	nonlinear	ADJ
ejpam-4774	390	8	initial	initial	ADJ
ejpam-4774	390	9	value	value	NOUN
ejpam-4774	390	10	problems	problem	NOUN
ejpam-4774	390	11	.	.	PUNCT
ejpam-4774	391	1	axioms	axiom	NOUN
ejpam-4774	391	2	,	,	PUNCT
ejpam-4774	391	3	12(2):111	12(2):111	NUM
ejpam-4774	391	4	,	,	PUNCT
ejpam-4774	391	5	2023	2023	NUM
ejpam-4774	391	6	.	.	PUNCT
ejpam-4774	392	1	references	reference	NOUN
ejpam-4774	392	2	1289	1289	NUM
ejpam-4774	393	1	[	[	X
ejpam-4774	393	2	26	26	NUM
ejpam-4774	393	3	]	]	X
ejpam-4774	393	4	j.m	j.m	ADJ
ejpam-4774	393	5	tchuenche	tchuenche	NOUN
ejpam-4774	393	6	and	and	CCONJ
ejpam-4774	393	7	n.	n.	PROPN
ejpam-4774	393	8	s.	s.	PROPN
ejpam-4774	393	9	mbare	mbare	PROPN
ejpam-4774	393	10	.	.	PUNCT
ejpam-4774	394	1	an	an	DET
ejpam-4774	394	2	application	application	NOUN
ejpam-4774	394	3	of	of	ADP
ejpam-4774	394	4	the	the	DET
ejpam-4774	394	5	double	double	ADJ
ejpam-4774	394	6	sumudu	sumudu	NOUN
ejpam-4774	394	7	transform	transform	NOUN
ejpam-4774	394	8	.	.	PUNCT
ejpam-4774	395	1	appl	appl	PROPN
ejpam-4774	395	2	.	.	PROPN
ejpam-4774	395	3	math	math	PROPN
ejpam-4774	395	4	.	.	PUNCT
ejpam-4774	396	1	sci	sci	PROPN
ejpam-4774	396	2	,	,	PUNCT
ejpam-4774	396	3	1:31–39	1:31–39	NUM
ejpam-4774	396	4	,	,	PUNCT
ejpam-4774	396	5	2007	2007	NUM
ejpam-4774	396	6	.	.	PUNCT
ejpam-4774	397	1	[	[	X
ejpam-4774	397	2	27	27	NUM
ejpam-4774	397	3	]	]	X
ejpam-4774	397	4	g.k	g.k	PROPN
ejpam-4774	397	5	.	.	PROPN
ejpam-4774	397	6	watugala	watugala	PROPN
ejpam-4774	397	7	.	.	PUNCT
ejpam-4774	398	1	sumudu	sumudu	NOUN
ejpam-4774	398	2	transform	transform	NOUN
ejpam-4774	398	3	:	:	PUNCT
ejpam-4774	398	4	a	a	DET
ejpam-4774	398	5	new	new	ADJ
ejpam-4774	398	6	integral	integral	ADJ
ejpam-4774	398	7	transform	transform	NOUN
ejpam-4774	398	8	to	to	PART
ejpam-4774	398	9	solve	solve	VERB
ejpam-4774	398	10	differential	differential	ADJ
ejpam-4774	398	11	equations	equation	NOUN
ejpam-4774	398	12	and	and	CCONJ
ejpam-4774	398	13	control	control	NOUN
ejpam-4774	398	14	engineering	engineering	NOUN
ejpam-4774	398	15	problems	problem	NOUN
ejpam-4774	398	16	.	.	PUNCT
ejpam-4774	399	1	international	international	ADJ
ejpam-4774	399	2	j.	j.	PROPN
ejpam-4774	399	3	of	of	ADP
ejpam-4774	399	4	math	math	PROPN
ejpam-4774	399	5	.	.	PUNCT
ejpam-4774	400	1	edu	edu	PROPN
ejpam-4774	400	2	.	.	PUNCT
ejpam-4774	401	1	in	in	ADP
ejpam-4774	401	2	sci	sci	PROPN
ejpam-4774	401	3	.	.	PROPN
ejpam-4774	401	4	and	and	CCONJ
ejpam-4774	401	5	tech	tech	NOUN
ejpam-4774	401	6	.	.	PUNCT
ejpam-4774	401	7	,	,	PUNCT
ejpam-4774	401	8	24(1):35–43	24(1):35–43	NUM
ejpam-4774	401	9	,	,	PUNCT
ejpam-4774	401	10	1993	1993	NUM
ejpam-4774	401	11	.	.	PUNCT
ejpam-4774	402	1	[	[	X
ejpam-4774	402	2	28	28	NUM
ejpam-4774	402	3	]	]	PUNCT
ejpam-4774	402	4	a.m.	a.m.	NOUN
ejpam-4774	402	5	wazwaz	wazwaz	PROPN
ejpam-4774	402	6	.	.	PUNCT
ejpam-4774	403	1	the	the	DET
ejpam-4774	403	2	variational	variational	ADJ
ejpam-4774	403	3	iteration	iteration	NOUN
ejpam-4774	403	4	method	method	NOUN
ejpam-4774	403	5	:	:	PUNCT
ejpam-4774	403	6	a	a	DET
ejpam-4774	403	7	powerful	powerful	ADJ
ejpam-4774	403	8	scheme	scheme	NOUN
ejpam-4774	403	9	for	for	ADP
ejpam-4774	403	10	handling	handle	VERB
ejpam-4774	403	11	linear	linear	ADJ
ejpam-4774	403	12	and	and	CCONJ
ejpam-4774	403	13	nonlinear	nonlinear	ADJ
ejpam-4774	403	14	diffusion	diffusion	NOUN
ejpam-4774	403	15	equations	equation	NOUN
ejpam-4774	403	16	.	.	PUNCT
ejpam-4774	404	1	comput	comput	NOUN
ejpam-4774	404	2	.	.	PUNCT
ejpam-4774	405	1	math	math	NOUN
ejpam-4774	405	2	.	.	PUNCT
ejpam-4774	406	1	appl	appl	PROPN
ejpam-4774	406	2	.	.	PROPN
ejpam-4774	406	3	,	,	PUNCT
ejpam-4774	406	4	54:933–939	54:933–939	PROPN
ejpam-4774	406	5	,	,	PUNCT
ejpam-4774	406	6	2007	2007	NUM
ejpam-4774	406	7	.	.	PUNCT
ejpam-4774	407	1	[	[	X
ejpam-4774	407	2	29	29	NUM
ejpam-4774	407	3	]	]	PUNCT
ejpam-4774	407	4	a.m.	a.m.	NOUN
ejpam-4774	407	5	wazwaz	wazwaz	PROPN
ejpam-4774	407	6	.	.	PUNCT
ejpam-4774	408	1	the	the	DET
ejpam-4774	408	2	variational	variational	ADJ
ejpam-4774	408	3	iteration	iteration	NOUN
ejpam-4774	408	4	method	method	NOUN
ejpam-4774	408	5	:	:	PUNCT
ejpam-4774	408	6	a	a	DET
ejpam-4774	408	7	reliable	reliable	ADJ
ejpam-4774	408	8	analytic	analytic	ADJ
ejpam-4774	408	9	tool	tool	NOUN
ejpam-4774	408	10	for	for	ADP
ejpam-4774	408	11	solving	solve	VERB
ejpam-4774	408	12	linear	linear	NOUN
ejpam-4774	408	13	and	and	CCONJ
ejpam-4774	408	14	nonlinear	nonlinear	ADJ
ejpam-4774	408	15	wave	wave	NOUN
ejpam-4774	408	16	equations	equation	NOUN
ejpam-4774	408	17	.	.	PUNCT
ejpam-4774	409	1	comput	comput	NOUN
ejpam-4774	409	2	.	.	PUNCT
ejpam-4774	410	1	math	math	NOUN
ejpam-4774	410	2	.	.	PUNCT
ejpam-4774	411	1	appl	appl	PROPN
ejpam-4774	411	2	.	.	PROPN
ejpam-4774	411	3	,	,	PUNCT
ejpam-4774	411	4	54:926–932	54:926–932	PROPN
ejpam-4774	411	5	,	,	PUNCT
ejpam-4774	411	6	2007	2007	NUM
ejpam-4774	411	7	.	.	PUNCT