id	sid	tid	token	lemma	pos
ejpam-4599	1	1	european	european	PROPN
ejpam-4599	1	2	journal	journal	PROPN
ejpam-4599	1	3	of	of	ADP
ejpam-4599	1	4	pure	pure	ADJ
ejpam-4599	1	5	and	and	CCONJ
ejpam-4599	1	6	applied	apply	VERB
ejpam-4599	1	7	mathematics	mathematic	NOUN
ejpam-4599	1	8	vol	vol	NOUN
ejpam-4599	1	9	.	.	PROPN
ejpam-4599	2	1	15	15	NUM
ejpam-4599	2	2	,	,	PUNCT
ejpam-4599	2	3	no	no	INTJ
ejpam-4599	2	4	.	.	NOUN
ejpam-4599	2	5	4	4	NUM
ejpam-4599	2	6	,	,	PUNCT
ejpam-4599	2	7	2022	2022	NUM
ejpam-4599	2	8	,	,	PUNCT
ejpam-4599	2	9	1917	1917	NUM
ejpam-4599	2	10	-	-	SYM
ejpam-4599	2	11	1936	1936	NUM
ejpam-4599	2	12	issn	issn	PROPN
ejpam-4599	2	13	1307	1307	NUM
ejpam-4599	2	14	-	-	SYM
ejpam-4599	2	15	5543	5543	NUM
ejpam-4599	2	16	–	–	PUNCT
ejpam-4599	2	17	ejpam.com	ejpam.com	X
ejpam-4599	2	18	published	publish	VERB
ejpam-4599	2	19	by	by	ADP
ejpam-4599	2	20	new	new	PROPN
ejpam-4599	2	21	york	york	PROPN
ejpam-4599	2	22	business	business	PROPN
ejpam-4599	2	23	global	global	PROPN
ejpam-4599	2	24	the	the	DET
ejpam-4599	2	25	possible	possible	ADJ
ejpam-4599	2	26	solutions	solution	NOUN
ejpam-4599	2	27	for	for	ADP
ejpam-4599	2	28	the	the	DET
ejpam-4599	2	29	two	two	NUM
ejpam-4599	2	30	kdv	kdv	ADJ
ejpam-4599	2	31	-	-	PUNCT
ejpam-4599	2	32	type	type	NOUN
ejpam-4599	2	33	equations	equation	NOUN
ejpam-4599	2	34	using	use	VERB
ejpam-4599	2	35	a	a	DET
ejpam-4599	2	36	semi	semi	ADJ
ejpam-4599	2	37	-	-	ADJ
ejpam-4599	2	38	analytical	analytical	ADJ
ejpam-4599	2	39	kamal	kamal	ADJ
ejpam-4599	2	40	-	-	PUNCT
ejpam-4599	2	41	iteration	iteration	NOUN
ejpam-4599	2	42	method	method	NOUN
ejpam-4599	2	43	amal	amal	PROPN
ejpam-4599	2	44	jasim	jasim	PROPN
ejpam-4599	2	45	mohammed1,∗	mohammed1,∗	PROPN
ejpam-4599	2	46	,	,	PUNCT
ejpam-4599	2	47	sohaib	sohaib	PROPN
ejpam-4599	2	48	talal	talal	PROPN
ejpam-4599	2	49	al	al	PROPN
ejpam-4599	2	50	-	-	PUNCT
ejpam-4599	2	51	ramadhani1	ramadhani1	PROPN
ejpam-4599	2	52	,	,	PUNCT
ejpam-4599	2	53	rabeea	rabeea	NOUN
ejpam-4599	2	54	mohammed	mohammed	PROPN
ejpam-4599	2	55	hani	hani	PROPN
ejpam-4599	2	56	darghoth2	darghoth2	PROPN
ejpam-4599	2	57	1	1	NUM
ejpam-4599	2	58	college	college	NOUN
ejpam-4599	2	59	of	of	ADP
ejpam-4599	2	60	education	education	NOUN
ejpam-4599	2	61	for	for	ADP
ejpam-4599	2	62	pure	pure	ADJ
ejpam-4599	2	63	sciences	science	NOUN
ejpam-4599	2	64	,	,	PUNCT
ejpam-4599	2	65	mathematics	mathematics	PROPN
ejpam-4599	2	66	department	department	PROPN
ejpam-4599	2	67	,	,	PUNCT
ejpam-4599	2	68	university	university	PROPN
ejpam-4599	2	69	of	of	ADP
ejpam-4599	2	70	mosul	mosul	PROPN
ejpam-4599	2	71	,	,	PUNCT
ejpam-4599	2	72	iraq	iraq	PROPN
ejpam-4599	2	73	2	2	NUM
ejpam-4599	2	74	college	college	NOUN
ejpam-4599	2	75	of	of	ADP
ejpam-4599	2	76	basic	basic	ADJ
ejpam-4599	2	77	education	education	NOUN
ejpam-4599	2	78	,	,	PUNCT
ejpam-4599	2	79	mathematics	mathematics	PROPN
ejpam-4599	2	80	department	department	PROPN
ejpam-4599	2	81	,	,	PUNCT
ejpam-4599	2	82	university	university	PROPN
ejpam-4599	2	83	of	of	ADP
ejpam-4599	2	84	mosul	mosul	PROPN
ejpam-4599	2	85	,	,	PUNCT
ejpam-4599	2	86	iraq	iraq	PROPN
ejpam-4599	2	87	abstract	abstract	NOUN
ejpam-4599	2	88	.	.	PUNCT
ejpam-4599	3	1	in	in	ADP
ejpam-4599	3	2	this	this	DET
ejpam-4599	3	3	paper	paper	NOUN
ejpam-4599	3	4	,	,	PUNCT
ejpam-4599	3	5	we	we	PRON
ejpam-4599	3	6	used	use	VERB
ejpam-4599	3	7	a	a	DET
ejpam-4599	3	8	semi	semi	ADJ
ejpam-4599	3	9	-	-	ADJ
ejpam-4599	3	10	analytical	analytical	ADJ
ejpam-4599	3	11	method	method	NOUN
ejpam-4599	3	12	that	that	PRON
ejpam-4599	3	13	combines	combine	VERB
ejpam-4599	3	14	the	the	DET
ejpam-4599	3	15	kamal	kamal	PROPN
ejpam-4599	3	16	transform	transform	NOUN
ejpam-4599	3	17	and	and	CCONJ
ejpam-4599	3	18	a	a	DET
ejpam-4599	3	19	modified	modify	VERB
ejpam-4599	3	20	iteration	iteration	NOUN
ejpam-4599	3	21	method	method	NOUN
ejpam-4599	3	22	to	to	PART
ejpam-4599	3	23	solve	solve	VERB
ejpam-4599	3	24	the	the	DET
ejpam-4599	3	25	nonlinear	nonlinear	ADJ
ejpam-4599	3	26	homogeneous	homogeneous	ADJ
ejpam-4599	3	27	and	and	CCONJ
ejpam-4599	3	28	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	3	29	modified	modify	VERB
ejpam-4599	3	30	kerteweg	kerteweg	NOUN
ejpam-4599	3	31	-	-	PUNCT
ejpam-4599	3	32	de	de	X
ejpam-4599	3	33	vries	vrie	NOUN
ejpam-4599	3	34	and	and	CCONJ
ejpam-4599	3	35	the	the	DET
ejpam-4599	3	36	fifth	fifth	ADJ
ejpam-4599	3	37	-	-	PUNCT
ejpam-4599	3	38	order	order	NOUN
ejpam-4599	3	39	kerteweg	kerteweg	NOUN
ejpam-4599	3	40	-	-	PUNCT
ejpam-4599	3	41	de	de	PROPN
ejpam-4599	3	42	vries	vrie	NOUN
ejpam-4599	3	43	equations	equation	NOUN
ejpam-4599	3	44	.	.	PUNCT
ejpam-4599	4	1	the	the	DET
ejpam-4599	4	2	modified	modify	VERB
ejpam-4599	4	3	iteration	iteration	NOUN
ejpam-4599	4	4	method	method	NOUN
ejpam-4599	4	5	has	have	AUX
ejpam-4599	4	6	been	be	AUX
ejpam-4599	4	7	used	use	VERB
ejpam-4599	4	8	to	to	PART
ejpam-4599	4	9	with	with	ADP
ejpam-4599	4	10	a	a	DET
ejpam-4599	4	11	condition	condition	NOUN
ejpam-4599	4	12	that	that	PRON
ejpam-4599	4	13	guarantees	guarantee	VERB
ejpam-4599	4	14	fast	fast	ADJ
ejpam-4599	4	15	convergence	convergence	NOUN
ejpam-4599	4	16	of	of	ADP
ejpam-4599	4	17	the	the	DET
ejpam-4599	4	18	approximate	approximate	ADJ
ejpam-4599	4	19	solution	solution	NOUN
ejpam-4599	4	20	.	.	PUNCT
ejpam-4599	5	1	the	the	DET
ejpam-4599	5	2	analysis	analysis	NOUN
ejpam-4599	5	3	and	and	CCONJ
ejpam-4599	5	4	convergence	convergence	NOUN
ejpam-4599	5	5	of	of	ADP
ejpam-4599	5	6	the	the	DET
ejpam-4599	5	7	combined	combine	VERB
ejpam-4599	5	8	method	method	NOUN
ejpam-4599	5	9	have	have	AUX
ejpam-4599	5	10	been	be	AUX
ejpam-4599	5	11	discussed	discuss	VERB
ejpam-4599	5	12	.	.	PUNCT
ejpam-4599	6	1	furthermore	furthermore	ADV
ejpam-4599	6	2	,	,	PUNCT
ejpam-4599	6	3	the	the	DET
ejpam-4599	6	4	numerical	numerical	ADJ
ejpam-4599	6	5	simulations	simulation	NOUN
ejpam-4599	6	6	are	be	AUX
ejpam-4599	6	7	presented	present	VERB
ejpam-4599	6	8	to	to	PART
ejpam-4599	6	9	illustrate	illustrate	VERB
ejpam-4599	6	10	the	the	DET
ejpam-4599	6	11	effectiveness	effectiveness	NOUN
ejpam-4599	6	12	of	of	ADP
ejpam-4599	6	13	the	the	DET
ejpam-4599	6	14	proposed	propose	VERB
ejpam-4599	6	15	semi	semi	ADJ
ejpam-4599	6	16	-	-	ADJ
ejpam-4599	6	17	analytical	analytical	ADJ
ejpam-4599	6	18	method	method	NOUN
ejpam-4599	6	19	.	.	PUNCT
ejpam-4599	7	1	2020	2020	NUM
ejpam-4599	7	2	mathematics	mathematic	NOUN
ejpam-4599	7	3	subject	subject	NOUN
ejpam-4599	7	4	classifications	classification	NOUN
ejpam-4599	7	5	:	:	PUNCT
ejpam-4599	7	6	35q53	35q53	NUM
ejpam-4599	7	7	,	,	PUNCT
ejpam-4599	7	8	35q35,41a58	35q35,41a58	NUM
ejpam-4599	7	9	,	,	PUNCT
ejpam-4599	7	10	74h15	74h15	NOUN
ejpam-4599	7	11	,	,	PUNCT
ejpam-4599	7	12	74j35	74j35	ADJ
ejpam-4599	7	13	key	key	ADJ
ejpam-4599	7	14	words	word	NOUN
ejpam-4599	7	15	and	and	CCONJ
ejpam-4599	7	16	phrases	phrase	NOUN
ejpam-4599	7	17	:	:	PUNCT
ejpam-4599	7	18	kdv	kdv	NOUN
ejpam-4599	7	19	,	,	PUNCT
ejpam-4599	7	20	mkdv	mkdv	ADJ
ejpam-4599	7	21	,	,	PUNCT
ejpam-4599	7	22	fkdv	fkdv	NOUN
ejpam-4599	7	23	equations	equation	NOUN
ejpam-4599	7	24	,	,	PUNCT
ejpam-4599	7	25	modified	modify	VERB
ejpam-4599	7	26	iteration	iteration	NOUN
ejpam-4599	7	27	method	method	NOUN
ejpam-4599	7	28	,	,	PUNCT
ejpam-4599	7	29	kamal	kamal	PROPN
ejpam-4599	7	30	transform	transform	VERB
ejpam-4599	7	31	1	1	NUM
ejpam-4599	7	32	.	.	PUNCT
ejpam-4599	8	1	introduction	introduction	NOUN
ejpam-4599	8	2	the	the	DET
ejpam-4599	8	3	kerteweg	kerteweg	NOUN
ejpam-4599	8	4	-	-	PUNCT
ejpam-4599	8	5	de	de	PROPN
ejpam-4599	8	6	vries	vries	PROPN
ejpam-4599	8	7	equation	equation	NOUN
ejpam-4599	8	8	(	(	PUNCT
ejpam-4599	8	9	kdv	kdv	NOUN
ejpam-4599	8	10	eq	eq	ADJ
ejpam-4599	8	11	.	.	PUNCT
ejpam-4599	8	12	)	)	PUNCT
ejpam-4599	8	13	is	be	AUX
ejpam-4599	8	14	a	a	DET
ejpam-4599	8	15	nonlinear	nonlinear	ADJ
ejpam-4599	8	16	integrable	integrable	ADJ
ejpam-4599	8	17	system	system	NOUN
ejpam-4599	8	18	that	that	PRON
ejpam-4599	8	19	has	have	VERB
ejpam-4599	8	20	various	various	ADJ
ejpam-4599	8	21	applications	application	NOUN
ejpam-4599	8	22	in	in	ADP
ejpam-4599	8	23	fluid	fluid	ADJ
ejpam-4599	8	24	mechanics	mechanic	NOUN
ejpam-4599	8	25	,	,	PUNCT
ejpam-4599	8	26	hydromagnetics	hydromagnetic	NOUN
ejpam-4599	8	27	plasma	plasma	NOUN
ejpam-4599	8	28	,	,	PUNCT
ejpam-4599	8	29	electrical	electrical	ADJ
ejpam-4599	8	30	transmission	transmission	NOUN
ejpam-4599	8	31	lines	line	NOUN
ejpam-4599	8	32	,	,	PUNCT
ejpam-4599	8	33	and	and	CCONJ
ejpam-4599	8	34	others	other	NOUN
ejpam-4599	8	35	,	,	PUNCT
ejpam-4599	8	36	see	see	VERB
ejpam-4599	8	37	for	for	ADP
ejpam-4599	8	38	example	example	NOUN
ejpam-4599	8	39	[	[	X
ejpam-4599	8	40	8	8	NUM
ejpam-4599	8	41	]	]	PUNCT
ejpam-4599	8	42	.	.	PUNCT
ejpam-4599	9	1	thus	thus	ADV
ejpam-4599	9	2	,	,	PUNCT
ejpam-4599	9	3	numerical	numerical	ADJ
ejpam-4599	9	4	and	and	CCONJ
ejpam-4599	9	5	semi	semi	ADJ
ejpam-4599	9	6	-	-	ADJ
ejpam-4599	9	7	analytical	analytical	ADJ
ejpam-4599	9	8	methods	method	NOUN
ejpam-4599	9	9	are	be	AUX
ejpam-4599	9	10	designed	design	VERB
ejpam-4599	9	11	to	to	PART
ejpam-4599	9	12	solve	solve	VERB
ejpam-4599	9	13	the	the	DET
ejpam-4599	9	14	nonlinear	nonlinear	ADJ
ejpam-4599	9	15	partial	partial	ADJ
ejpam-4599	9	16	differential	differential	NOUN
ejpam-4599	9	17	equations	equation	NOUN
ejpam-4599	9	18	(	(	PUNCT
ejpam-4599	9	19	pdes	pde	NOUN
ejpam-4599	9	20	)	)	PUNCT
ejpam-4599	9	21	,	,	PUNCT
ejpam-4599	9	22	where	where	SCONJ
ejpam-4599	9	23	;	;	PUNCT
ejpam-4599	9	24	several	several	ADJ
ejpam-4599	9	25	mechanism	mechanism	NOUN
ejpam-4599	9	26	methods	method	NOUN
ejpam-4599	9	27	were	be	AUX
ejpam-4599	9	28	employed	employ	VERB
ejpam-4599	9	29	to	to	PART
ejpam-4599	9	30	study	study	VERB
ejpam-4599	9	31	and	and	CCONJ
ejpam-4599	9	32	find	find	VERB
ejpam-4599	9	33	out	out	ADP
ejpam-4599	9	34	a	a	DET
ejpam-4599	9	35	suitable	suitable	ADJ
ejpam-4599	9	36	solution	solution	NOUN
ejpam-4599	9	37	for	for	ADP
ejpam-4599	9	38	the	the	DET
ejpam-4599	9	39	pdes	pde	NOUN
ejpam-4599	9	40	.	.	PUNCT
ejpam-4599	10	1	then	then	ADV
ejpam-4599	10	2	,	,	PUNCT
ejpam-4599	10	3	some	some	PRON
ejpam-4599	10	4	of	of	ADP
ejpam-4599	10	5	these	these	DET
ejpam-4599	10	6	methods	method	NOUN
ejpam-4599	10	7	are	be	AUX
ejpam-4599	10	8	analytical	analytical	ADJ
ejpam-4599	10	9	and	and	CCONJ
ejpam-4599	10	10	others	other	NOUN
ejpam-4599	10	11	are	be	AUX
ejpam-4599	10	12	semi	semi	ADJ
ejpam-4599	10	13	-	-	ADJ
ejpam-4599	10	14	analytical	analytical	ADJ
ejpam-4599	10	15	(	(	PUNCT
ejpam-4599	10	16	numerical	numerical	ADJ
ejpam-4599	10	17	with	with	ADP
ejpam-4599	10	18	analytic	analytic	ADJ
ejpam-4599	10	19	technique	technique	NOUN
ejpam-4599	10	20	)	)	PUNCT
ejpam-4599	10	21	and	and	CCONJ
ejpam-4599	10	22	numerical	numerical	ADJ
ejpam-4599	10	23	,	,	PUNCT
ejpam-4599	10	24	for	for	ADP
ejpam-4599	10	25	instance	instance	NOUN
ejpam-4599	10	26	,	,	PUNCT
ejpam-4599	10	27	homotopy	homotopy	VERB
ejpam-4599	10	28	analysis	analysis	NOUN
ejpam-4599	10	29	,	,	PUNCT
ejpam-4599	10	30	differential	differential	ADJ
ejpam-4599	10	31	transformation	transformation	NOUN
ejpam-4599	10	32	methods	method	NOUN
ejpam-4599	10	33	,	,	PUNCT
ejpam-4599	10	34	and	and	CCONJ
ejpam-4599	10	35	many	many	ADJ
ejpam-4599	10	36	others	other	NOUN
ejpam-4599	10	37	.	.	PUNCT
ejpam-4599	11	1	these	these	DET
ejpam-4599	11	2	methods	method	NOUN
ejpam-4599	11	3	are	be	AUX
ejpam-4599	11	4	used	use	VERB
ejpam-4599	11	5	in	in	ADP
ejpam-4599	11	6	different	different	ADJ
ejpam-4599	11	7	branches	branch	NOUN
ejpam-4599	11	8	of	of	ADP
ejpam-4599	11	9	sciences	science	NOUN
ejpam-4599	11	10	such	such	ADJ
ejpam-4599	11	11	as	as	ADP
ejpam-4599	11	12	;	;	PUNCT
ejpam-4599	11	13	physics	physics	NOUN
ejpam-4599	11	14	,	,	PUNCT
ejpam-4599	11	15	chemistry	chemistry	NOUN
ejpam-4599	11	16	,	,	PUNCT
ejpam-4599	11	17	and	and	CCONJ
ejpam-4599	11	18	engineering	engineering	NOUN
ejpam-4599	11	19	which	which	PRON
ejpam-4599	11	20	is	be	AUX
ejpam-4599	11	21	why	why	SCONJ
ejpam-4599	11	22	the	the	DET
ejpam-4599	11	23	numerical	numerical	ADJ
ejpam-4599	11	24	and	and	CCONJ
ejpam-4599	11	25	semi	semi	ADJ
ejpam-4599	11	26	-	-	ADJ
ejpam-4599	11	27	analytical	analytical	ADJ
ejpam-4599	11	28	methods	method	NOUN
ejpam-4599	11	29	have	have	AUX
ejpam-4599	11	30	become	become	VERB
ejpam-4599	11	31	more	more	ADV
ejpam-4599	11	32	common	common	ADJ
ejpam-4599	11	33	in	in	ADP
ejpam-4599	11	34	use	use	NOUN
ejpam-4599	11	35	than	than	ADP
ejpam-4599	11	36	pure	pure	ADJ
ejpam-4599	11	37	analytical	analytical	ADJ
ejpam-4599	11	38	methods	method	NOUN
ejpam-4599	11	39	[	[	X
ejpam-4599	11	40	1	1	NUM
ejpam-4599	11	41	,	,	PUNCT
ejpam-4599	11	42	7	7	NUM
ejpam-4599	11	43	,	,	PUNCT
ejpam-4599	11	44	10	10	NUM
ejpam-4599	11	45	,	,	PUNCT
ejpam-4599	11	46	16	16	NUM
ejpam-4599	11	47	]	]	PUNCT
ejpam-4599	11	48	.	.	PUNCT
ejpam-4599	12	1	for	for	ADP
ejpam-4599	12	2	example	example	NOUN
ejpam-4599	12	3	,	,	PUNCT
ejpam-4599	12	4	the	the	DET
ejpam-4599	12	5	integral	integral	ADJ
ejpam-4599	12	6	transforms	transform	NOUN
ejpam-4599	12	7	;	;	PUNCT
ejpam-4599	12	8	by	by	ADP
ejpam-4599	12	9	laplace	laplace	NOUN
ejpam-4599	12	10	,	,	PUNCT
ejpam-4599	12	11	fourier	fourier	NOUN
ejpam-4599	12	12	,	,	PUNCT
ejpam-4599	12	13	hilbert	hilbert	NOUN
ejpam-4599	12	14	,	,	PUNCT
ejpam-4599	12	15	and	and	CCONJ
ejpam-4599	12	16	sumida	sumida	NOUN
ejpam-4599	12	17	,	,	PUNCT
ejpam-4599	12	18	have	have	VERB
ejpam-4599	12	19	∗corresponding	∗corresponde	VERB
ejpam-4599	12	20	author	author	NOUN
ejpam-4599	12	21	.	.	PUNCT
ejpam-4599	13	1	doi	doi	NOUN
ejpam-4599	13	2	:	:	PUNCT
ejpam-4599	13	3	https://doi.org/10.29020/nybg.ejpam.v15i4.4599	https://doi.org/10.29020/nybg.ejpam.v15i4.4599	PROPN
ejpam-4599	13	4	email	email	NOUN
ejpam-4599	13	5	addresses	address	NOUN
ejpam-4599	13	6	:	:	PUNCT
ejpam-4599	13	7	a.j.moha7@uomosul.edu.iq	a.j.moha7@uomosul.edu.iq	ADJ
ejpam-4599	13	8	.	.	PUNCT
ejpam-4599	14	1	(	(	PUNCT
ejpam-4599	14	2	a.j	a.j	PROPN
ejpam-4599	14	3	.	.	PROPN
ejpam-4599	14	4	mohammed	mohammed	PROPN
ejpam-4599	14	5	)	)	PUNCT
ejpam-4599	14	6	,	,	PUNCT
ejpam-4599	14	7	s.alramadhani@uomosul.edu.iq	s.alramadhani@uomosul.edu.iq	PROPN
ejpam-4599	14	8	.	.	PUNCT
ejpam-4599	15	1	(	(	PUNCT
ejpam-4599	15	2	s.t	s.t	PROPN
ejpam-4599	15	3	.	.	PROPN
ejpam-4599	15	4	al	al	PROPN
ejpam-4599	15	5	-	-	PUNCT
ejpam-4599	15	6	ramadhani	ramadhani	ADJ
ejpam-4599	15	7	)	)	PUNCT
ejpam-4599	15	8	,	,	PUNCT
ejpam-4599	15	9	r.darghoth@uomosul.edu.iq	r.darghoth@uomosul.edu.iq	PROPN
ejpam-4599	15	10	.	.	PUNCT
ejpam-4599	16	1	(	(	PUNCT
ejpam-4599	16	2	r.m.h	r.m.h	NOUN
ejpam-4599	16	3	.	.	PUNCT
ejpam-4599	16	4	darghoth	darghoth	PROPN
ejpam-4599	16	5	)	)	PUNCT
ejpam-4599	16	6	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4599	16	7	1917	1917	NUM
ejpam-4599	17	1	©	©	ADP
ejpam-4599	17	2	2022	2022	NUM
ejpam-4599	17	3	ejpam	ejpam	VERB
ejpam-4599	17	4	all	all	DET
ejpam-4599	17	5	rights	right	NOUN
ejpam-4599	17	6	reserved	reserve	VERB
ejpam-4599	17	7	.	.	PUNCT
ejpam-4599	18	1	a.j	a.j	PROPN
ejpam-4599	18	2	.	.	PROPN
ejpam-4599	18	3	mohammed	mohammed	PROPN
ejpam-4599	18	4	,	,	PUNCT
ejpam-4599	18	5	s.t	s.t	PROPN
ejpam-4599	18	6	.	.	PROPN
ejpam-4599	18	7	al	al	PROPN
ejpam-4599	18	8	-	-	PUNCT
ejpam-4599	18	9	ramadhani	ramadhani	ADJ
ejpam-4599	18	10	,	,	PUNCT
ejpam-4599	18	11	r.m.h	r.m.h	NOUN
ejpam-4599	18	12	.	.	PUNCT
ejpam-4599	18	13	darghoth	darghoth	PROPN
ejpam-4599	18	14	/	/	PUNCT
ejpam-4599	18	15	eur	eur	PROPN
ejpam-4599	18	16	.	.	PUNCT
ejpam-4599	19	1	j.	j.	PROPN
ejpam-4599	19	2	pure	pure	PROPN
ejpam-4599	19	3	appl	appl	PROPN
ejpam-4599	19	4	.	.	PROPN
ejpam-4599	19	5	math	math	PROPN
ejpam-4599	19	6	,	,	PUNCT
ejpam-4599	19	7	15	15	NUM
ejpam-4599	19	8	(	(	PUNCT
ejpam-4599	19	9	4	4	NUM
ejpam-4599	19	10	)	)	PUNCT
ejpam-4599	19	11	(	(	PUNCT
ejpam-4599	19	12	2022	2022	NUM
ejpam-4599	19	13	)	)	PUNCT
ejpam-4599	19	14	,	,	PUNCT
ejpam-4599	19	15	1917	1917	NUM
ejpam-4599	19	16	-	-	SYM
ejpam-4599	19	17	1936	1936	NUM
ejpam-4599	19	18	1918	1918	NUM
ejpam-4599	19	19	been	be	AUX
ejpam-4599	19	20	smoothly	smoothly	ADV
ejpam-4599	19	21	used	use	VERB
ejpam-4599	19	22	to	to	PART
ejpam-4599	19	23	solve	solve	VERB
ejpam-4599	19	24	linear	linear	ADJ
ejpam-4599	19	25	homogeneous	homogeneous	ADJ
ejpam-4599	19	26	or	or	CCONJ
ejpam-4599	19	27	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	19	28	ordinary	ordinary	ADJ
ejpam-4599	19	29	and	and	CCONJ
ejpam-4599	19	30	partial	partial	ADJ
ejpam-4599	19	31	differential	differential	ADJ
ejpam-4599	19	32	equations	equation	NOUN
ejpam-4599	19	33	(	(	PUNCT
ejpam-4599	19	34	pdes	pde	NOUN
ejpam-4599	19	35	)	)	PUNCT
ejpam-4599	20	1	[	[	X
ejpam-4599	20	2	4	4	NUM
ejpam-4599	20	3	,	,	PUNCT
ejpam-4599	20	4	25	25	NUM
ejpam-4599	20	5	]	]	PUNCT
ejpam-4599	20	6	.	.	PUNCT
ejpam-4599	21	1	for	for	ADP
ejpam-4599	21	2	instance	instance	NOUN
ejpam-4599	21	3	,	,	PUNCT
ejpam-4599	21	4	heat	heat	NOUN
ejpam-4599	21	5	,	,	PUNCT
ejpam-4599	21	6	wave	wave	NOUN
ejpam-4599	21	7	,	,	PUNCT
ejpam-4599	21	8	telegraph	telegraph	NOUN
ejpam-4599	21	9	equations	equation	NOUN
ejpam-4599	21	10	,	,	PUNCT
ejpam-4599	21	11	advection	advection	NOUN
ejpam-4599	21	12	problems	problem	NOUN
ejpam-4599	21	13	.	.	PUNCT
ejpam-4599	22	1	kamal	kamal	PROPN
ejpam-4599	22	2	transform	transform	PROPN
ejpam-4599	22	3	(	(	PUNCT
ejpam-4599	22	4	kt	kt	X
ejpam-4599	22	5	)	)	PUNCT
ejpam-4599	22	6	is	be	AUX
ejpam-4599	22	7	used	use	VERB
ejpam-4599	22	8	to	to	PART
ejpam-4599	22	9	solve	solve	VERB
ejpam-4599	22	10	various	various	ADJ
ejpam-4599	22	11	types	type	NOUN
ejpam-4599	22	12	of	of	ADP
ejpam-4599	22	13	differential	differential	ADJ
ejpam-4599	22	14	and	and	CCONJ
ejpam-4599	22	15	integral	integral	ADJ
ejpam-4599	22	16	equations	equation	NOUN
ejpam-4599	22	17	,	,	PUNCT
ejpam-4599	22	18	see	see	VERB
ejpam-4599	22	19	[	[	X
ejpam-4599	22	20	2	2	NUM
ejpam-4599	22	21	,	,	PUNCT
ejpam-4599	22	22	5	5	NUM
ejpam-4599	22	23	,	,	PUNCT
ejpam-4599	22	24	15	15	NUM
ejpam-4599	22	25	,	,	PUNCT
ejpam-4599	22	26	17	17	NUM
ejpam-4599	22	27	,	,	PUNCT
ejpam-4599	22	28	26	26	NUM
ejpam-4599	22	29	]	]	PUNCT
ejpam-4599	22	30	.	.	PUNCT
ejpam-4599	23	1	however	however	ADV
ejpam-4599	23	2	,	,	PUNCT
ejpam-4599	23	3	all	all	DET
ejpam-4599	23	4	these	these	PRON
ejpam-4599	23	5	transforms	transform	VERB
ejpam-4599	23	6	can	can	AUX
ejpam-4599	23	7	not	not	PART
ejpam-4599	23	8	be	be	AUX
ejpam-4599	23	9	used	use	VERB
ejpam-4599	23	10	directly	directly	ADV
ejpam-4599	23	11	if	if	SCONJ
ejpam-4599	23	12	they	they	PRON
ejpam-4599	23	13	are	be	AUX
ejpam-4599	23	14	employed	employ	VERB
ejpam-4599	23	15	for	for	ADP
ejpam-4599	23	16	the	the	DET
ejpam-4599	23	17	nonlinear	nonlinear	ADJ
ejpam-4599	23	18	homogeneous	homogeneous	ADJ
ejpam-4599	23	19	or	or	CCONJ
ejpam-4599	23	20	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	23	21	ordinary	ordinary	ADJ
ejpam-4599	23	22	and	and	CCONJ
ejpam-4599	23	23	pdes	pde	NOUN
ejpam-4599	23	24	,	,	PUNCT
ejpam-4599	23	25	because	because	SCONJ
ejpam-4599	23	26	there	there	PRON
ejpam-4599	23	27	are	be	VERB
ejpam-4599	23	28	no	no	DET
ejpam-4599	23	29	transforms	transform	NOUN
ejpam-4599	23	30	for	for	ADP
ejpam-4599	23	31	the	the	DET
ejpam-4599	23	32	nonlinear	nonlinear	ADJ
ejpam-4599	23	33	part	part	NOUN
ejpam-4599	23	34	.	.	PUNCT
ejpam-4599	24	1	for	for	ADP
ejpam-4599	24	2	that	that	DET
ejpam-4599	24	3	reason	reason	NOUN
ejpam-4599	24	4	,	,	PUNCT
ejpam-4599	24	5	some	some	DET
ejpam-4599	24	6	researchers	researcher	NOUN
ejpam-4599	24	7	have	have	AUX
ejpam-4599	24	8	used	use	VERB
ejpam-4599	24	9	the	the	DET
ejpam-4599	24	10	integral	integral	ADJ
ejpam-4599	24	11	transform	transform	NOUN
ejpam-4599	24	12	with	with	ADP
ejpam-4599	24	13	the	the	DET
ejpam-4599	24	14	help	help	NOUN
ejpam-4599	24	15	of	of	ADP
ejpam-4599	24	16	decomposition	decomposition	NOUN
ejpam-4599	24	17	,	,	PUNCT
ejpam-4599	24	18	variational	variational	ADJ
ejpam-4599	24	19	methods	method	NOUN
ejpam-4599	24	20	and	and	CCONJ
ejpam-4599	24	21	others	other	NOUN
ejpam-4599	24	22	to	to	PART
ejpam-4599	24	23	solve	solve	VERB
ejpam-4599	24	24	this	this	DET
ejpam-4599	24	25	problem	problem	NOUN
ejpam-4599	25	1	[	[	X
ejpam-4599	25	2	6	6	NUM
ejpam-4599	25	3	,	,	PUNCT
ejpam-4599	25	4	23	23	NUM
ejpam-4599	25	5	,	,	PUNCT
ejpam-4599	25	6	24	24	NUM
ejpam-4599	25	7	]	]	PUNCT
ejpam-4599	25	8	.	.	PUNCT
ejpam-4599	26	1	the	the	DET
ejpam-4599	26	2	problem	problem	NOUN
ejpam-4599	26	3	in	in	ADP
ejpam-4599	26	4	this	this	DET
ejpam-4599	26	5	project	project	NOUN
ejpam-4599	26	6	is	be	AUX
ejpam-4599	26	7	based	base	VERB
ejpam-4599	26	8	on	on	ADP
ejpam-4599	26	9	the	the	DET
ejpam-4599	26	10	nonlinear	nonlinear	ADJ
ejpam-4599	26	11	partial	partial	ADJ
ejpam-4599	26	12	kdv	kdv	NOUN
ejpam-4599	26	13	eq	eq	ADJ
ejpam-4599	26	14	.	.	PUNCT
ejpam-4599	27	1	[	[	X
ejpam-4599	27	2	3	3	NUM
ejpam-4599	27	3	,	,	PUNCT
ejpam-4599	27	4	9	9	NUM
ejpam-4599	27	5	,	,	PUNCT
ejpam-4599	27	6	11	11	NUM
ejpam-4599	27	7	,	,	PUNCT
ejpam-4599	27	8	28	28	NUM
ejpam-4599	27	9	]	]	PUNCT
ejpam-4599	27	10	of	of	ADP
ejpam-4599	27	11	the	the	DET
ejpam-4599	27	12	form	form	NOUN
ejpam-4599	27	13	(	(	PUNCT
ejpam-4599	27	14	∂t	∂t	PROPN
ejpam-4599	27	15	−	−	PROPN
ejpam-4599	27	16	6	6	NUM
ejpam-4599	27	17	w(x	w(x	PROPN
ejpam-4599	27	18	,	,	PUNCT
ejpam-4599	27	19	t	t	PROPN
ejpam-4599	27	20	)	)	PUNCT
ejpam-4599	27	21	∂x	∂x	PROPN
ejpam-4599	27	22	+	+	CCONJ
ejpam-4599	27	23	∂xx)w(x	∂xx)w(x	PROPN
ejpam-4599	27	24	,	,	PUNCT
ejpam-4599	27	25	t	t	PROPN
ejpam-4599	27	26	)	)	PUNCT
ejpam-4599	27	27	=	=	SYM
ejpam-4599	27	28	0	0	NUM
ejpam-4599	27	29	,	,	PUNCT
ejpam-4599	27	30	−∞	−∞	ADP
ejpam-4599	27	31	<	<	X
ejpam-4599	27	32	x	x	X
ejpam-4599	27	33	<	<	X
ejpam-4599	27	34	∞	∞	PROPN
ejpam-4599	27	35	t	t	X
ejpam-4599	27	36	>	>	X
ejpam-4599	27	37	0	0	NUM
ejpam-4599	27	38	,	,	PUNCT
ejpam-4599	27	39	(	(	PUNCT
ejpam-4599	27	40	1	1	X
ejpam-4599	27	41	)	)	PUNCT
ejpam-4599	27	42	where	where	SCONJ
ejpam-4599	27	43	,	,	PUNCT
ejpam-4599	27	44	the	the	DET
ejpam-4599	27	45	initial	initial	ADJ
ejpam-4599	27	46	condition	condition	NOUN
ejpam-4599	27	47	w(x	w(x	PROPN
ejpam-4599	27	48	,	,	PUNCT
ejpam-4599	27	49	0	0	NUM
ejpam-4599	27	50	)	)	PUNCT
ejpam-4599	28	1	=	=	SYM
ejpam-4599	28	2	f	f	X
ejpam-4599	28	3	(	(	PUNCT
ejpam-4599	28	4	x	x	NOUN
ejpam-4599	28	5	)	)	PUNCT
ejpam-4599	28	6	,	,	PUNCT
ejpam-4599	28	7	f	f	PROPN
ejpam-4599	28	8	(	(	PUNCT
ejpam-4599	28	9	x	x	X
ejpam-4599	28	10	)	)	PUNCT
ejpam-4599	28	11	is	be	AUX
ejpam-4599	28	12	a	a	DET
ejpam-4599	28	13	known	know	VERB
ejpam-4599	28	14	function	function	NOUN
ejpam-4599	28	15	.	.	PUNCT
ejpam-4599	29	1	a	a	DET
ejpam-4599	29	2	differentiable	differentiable	ADJ
ejpam-4599	29	3	solution	solution	NOUN
ejpam-4599	29	4	of	of	ADP
ejpam-4599	29	5	eq	eq	PROPN
ejpam-4599	29	6	.	.	PUNCT
ejpam-4599	30	1	(	(	PUNCT
ejpam-4599	30	2	1	1	X
ejpam-4599	30	3	)	)	PUNCT
ejpam-4599	30	4	is	be	AUX
ejpam-4599	30	5	w	w	NOUN
ejpam-4599	30	6	=	=	SYM
ejpam-4599	30	7	w(x	w(x	PROPN
ejpam-4599	30	8	,	,	PUNCT
ejpam-4599	30	9	t	t	PROPN
ejpam-4599	30	10	)	)	PUNCT
ejpam-4599	30	11	which	which	PRON
ejpam-4599	30	12	is	be	AUX
ejpam-4599	30	13	travelling	travel	VERB
ejpam-4599	30	14	wave	wave	NOUN
ejpam-4599	30	15	solution	solution	NOUN
ejpam-4599	30	16	tends	tend	VERB
ejpam-4599	30	17	to	to	ADP
ejpam-4599	30	18	zero	zero	NUM
ejpam-4599	30	19	as	as	SCONJ
ejpam-4599	30	20	|x|	|x|	PROPN
ejpam-4599	30	21	→	→	SYM
ejpam-4599	30	22	∞.	∞.	PROPN
ejpam-4599	30	23	this	this	DET
ejpam-4599	30	24	kind	kind	NOUN
ejpam-4599	30	25	of	of	ADP
ejpam-4599	30	26	equation	equation	NOUN
ejpam-4599	30	27	is	be	AUX
ejpam-4599	30	28	classified	classify	VERB
ejpam-4599	30	29	with	with	ADP
ejpam-4599	30	30	the	the	DET
ejpam-4599	30	31	group	group	NOUN
ejpam-4599	30	32	of	of	ADP
ejpam-4599	30	33	integrable	integrable	ADJ
ejpam-4599	30	34	equations	equation	NOUN
ejpam-4599	30	35	such	such	ADJ
ejpam-4599	30	36	as	as	ADP
ejpam-4599	30	37	;	;	PUNCT
ejpam-4599	30	38	the	the	DET
ejpam-4599	30	39	nonlinear	nonlinear	ADJ
ejpam-4599	30	40	schrödinger	schrödinger	NOUN
ejpam-4599	30	41	,	,	PUNCT
ejpam-4599	30	42	sine	sine	NOUN
ejpam-4599	30	43	-	-	PUNCT
ejpam-4599	30	44	gordon	gordon	PROPN
ejpam-4599	30	45	,	,	PUNCT
ejpam-4599	30	46	kadomtsev	kadomtsev	NOUN
ejpam-4599	30	47	-	-	PUNCT
ejpam-4599	30	48	petviashvili	petviashvili	ADJ
ejpam-4599	30	49	and	and	CCONJ
ejpam-4599	30	50	bogoyavlenskykonopelchenko	bogoyavlenskykonopelchenko	ADJ
ejpam-4599	30	51	equations	equation	NOUN
ejpam-4599	31	1	[	[	X
ejpam-4599	31	2	12	12	NUM
ejpam-4599	31	3	,	,	PUNCT
ejpam-4599	31	4	13	13	NUM
ejpam-4599	31	5	,	,	PUNCT
ejpam-4599	31	6	19	19	NUM
ejpam-4599	31	7	,	,	PUNCT
ejpam-4599	31	8	27	27	NUM
ejpam-4599	31	9	]	]	PUNCT
ejpam-4599	31	10	.	.	PUNCT
ejpam-4599	32	1	in	in	ADP
ejpam-4599	32	2	addition	addition	NOUN
ejpam-4599	32	3	,	,	PUNCT
ejpam-4599	32	4	the	the	DET
ejpam-4599	32	5	family	family	NOUN
ejpam-4599	32	6	of	of	ADP
ejpam-4599	32	7	the	the	DET
ejpam-4599	32	8	nonlinear	nonlinear	ADJ
ejpam-4599	32	9	pdes	pde	NOUN
ejpam-4599	32	10	of	of	ADP
ejpam-4599	32	11	the	the	DET
ejpam-4599	32	12	kdv	kdv	NOUN
ejpam-4599	32	13	eq	eq	ADJ
ejpam-4599	32	14	.	.	PROPN
ejpam-4599	32	15	comes	come	VERB
ejpam-4599	32	16	from	from	ADP
ejpam-4599	32	17	the	the	DET
ejpam-4599	32	18	theory	theory	NOUN
ejpam-4599	32	19	of	of	ADP
ejpam-4599	32	20	dispersive	dispersive	ADJ
ejpam-4599	32	21	wave	wave	NOUN
ejpam-4599	32	22	motions	motion	NOUN
ejpam-4599	32	23	.	.	PUNCT
ejpam-4599	33	1	the	the	DET
ejpam-4599	33	2	solutions	solution	NOUN
ejpam-4599	33	3	of	of	ADP
ejpam-4599	33	4	these	these	DET
ejpam-4599	33	5	equations	equation	NOUN
ejpam-4599	33	6	have	have	AUX
ejpam-4599	33	7	been	be	AUX
ejpam-4599	33	8	used	use	VERB
ejpam-4599	33	9	to	to	PART
ejpam-4599	33	10	describe	describe	VERB
ejpam-4599	33	11	several	several	ADJ
ejpam-4599	33	12	physical	physical	ADJ
ejpam-4599	33	13	phenomena	phenomenon	NOUN
ejpam-4599	33	14	like	like	ADP
ejpam-4599	33	15	;	;	PUNCT
ejpam-4599	33	16	”	"	PUNCT
ejpam-4599	33	17	widespread	widespread	ADJ
ejpam-4599	33	18	class	class	NOUN
ejpam-4599	33	19	,	,	PUNCT
ejpam-4599	33	20	elastic	elastic	ADJ
ejpam-4599	33	21	scattering	scattering	NOUN
ejpam-4599	33	22	property	property	NOUN
ejpam-4599	33	23	”	"	PUNCT
ejpam-4599	33	24	and	and	CCONJ
ejpam-4599	33	25	others	other	NOUN
ejpam-4599	33	26	(	(	PUNCT
ejpam-4599	33	27	see	see	VERB
ejpam-4599	33	28	[	[	X
ejpam-4599	33	29	26	26	NUM
ejpam-4599	33	30	]	]	NUM
ejpam-4599	33	31	)	)	PUNCT
ejpam-4599	33	32	.	.	PUNCT
ejpam-4599	34	1	here	here	ADV
ejpam-4599	34	2	,	,	PUNCT
ejpam-4599	34	3	we	we	PRON
ejpam-4599	34	4	are	be	AUX
ejpam-4599	34	5	interested	interested	ADJ
ejpam-4599	34	6	in	in	ADP
ejpam-4599	34	7	employing	employ	VERB
ejpam-4599	34	8	the	the	DET
ejpam-4599	34	9	modified	modify	VERB
ejpam-4599	34	10	iteration	iteration	NOUN
ejpam-4599	34	11	method	method	NOUN
ejpam-4599	34	12	(	(	PUNCT
ejpam-4599	34	13	mi	mi	NOUN
ejpam-4599	34	14	)	)	PUNCT
ejpam-4599	35	1	[	[	X
ejpam-4599	35	2	21	21	NUM
ejpam-4599	35	3	]	]	X
ejpam-4599	35	4	,	,	PUNCT
ejpam-4599	35	5	which	which	PRON
ejpam-4599	35	6	was	be	AUX
ejpam-4599	35	7	used	use	VERB
ejpam-4599	35	8	for	for	ADP
ejpam-4599	35	9	the	the	DET
ejpam-4599	35	10	homogeneous	homogeneous	ADJ
ejpam-4599	35	11	and	and	CCONJ
ejpam-4599	35	12	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	35	13	nonlinear	nonlinear	ADJ
ejpam-4599	35	14	ordinary	ordinary	ADJ
ejpam-4599	35	15	differential	differential	ADJ
ejpam-4599	35	16	equations	equation	NOUN
ejpam-4599	35	17	(	(	PUNCT
ejpam-4599	35	18	odes	ode	NOUN
ejpam-4599	35	19	)	)	PUNCT
ejpam-4599	35	20	.	.	PUNCT
ejpam-4599	36	1	in	in	ADP
ejpam-4599	36	2	this	this	DET
ejpam-4599	36	3	paper	paper	NOUN
ejpam-4599	36	4	,	,	PUNCT
ejpam-4599	36	5	we	we	PRON
ejpam-4599	36	6	used	use	VERB
ejpam-4599	36	7	a	a	DET
ejpam-4599	36	8	combination	combination	NOUN
ejpam-4599	36	9	of	of	ADP
ejpam-4599	36	10	the	the	DET
ejpam-4599	36	11	kt	kt	PROPN
ejpam-4599	37	1	[	[	X
ejpam-4599	37	2	5	5	NUM
ejpam-4599	37	3	,	,	PUNCT
ejpam-4599	37	4	17	17	NUM
ejpam-4599	37	5	]	]	PUNCT
ejpam-4599	37	6	and	and	CCONJ
ejpam-4599	37	7	mi	mi	X
ejpam-4599	37	8	[	[	X
ejpam-4599	37	9	21	21	NUM
ejpam-4599	37	10	]	]	SYM
ejpam-4599	37	11	method	method	NOUN
ejpam-4599	37	12	which	which	PRON
ejpam-4599	37	13	we	we	PRON
ejpam-4599	37	14	denote	denote	VERB
ejpam-4599	37	15	for	for	ADP
ejpam-4599	37	16	as	as	ADP
ejpam-4599	37	17	k	k	PROPN
ejpam-4599	37	18	-	-	PROPN
ejpam-4599	37	19	mi	mi	NOUN
ejpam-4599	37	20	.	.	PROPN
ejpam-4599	37	21	using	use	VERB
ejpam-4599	37	22	this	this	DET
ejpam-4599	37	23	method	method	NOUN
ejpam-4599	37	24	,	,	PUNCT
ejpam-4599	37	25	we	we	PRON
ejpam-4599	37	26	have	have	AUX
ejpam-4599	37	27	explored	explore	VERB
ejpam-4599	37	28	the	the	DET
ejpam-4599	37	29	acceptable	acceptable	ADJ
ejpam-4599	37	30	solution	solution	NOUN
ejpam-4599	37	31	for	for	ADP
ejpam-4599	37	32	two	two	NUM
ejpam-4599	37	33	types	type	NOUN
ejpam-4599	37	34	of	of	ADP
ejpam-4599	37	35	the	the	DET
ejpam-4599	37	36	family	family	NOUN
ejpam-4599	37	37	of	of	ADP
ejpam-4599	37	38	kdv	kdv	NOUN
ejpam-4599	37	39	eq	eq	PROPN
ejpam-4599	37	40	.	.	PUNCT
ejpam-4599	37	41	:	:	PUNCT
ejpam-4599	38	1	the	the	DET
ejpam-4599	38	2	modified	modified	ADJ
ejpam-4599	38	3	kdv	kdv	NOUN
ejpam-4599	38	4	eq	eq	ADJ
ejpam-4599	38	5	.	.	PUNCT
ejpam-4599	38	6	(	(	PUNCT
ejpam-4599	38	7	mkdv	mkdv	VERB
ejpam-4599	38	8	eq	eq	ADP
ejpam-4599	38	9	.	.	PUNCT
ejpam-4599	38	10	)	)	PUNCT
ejpam-4599	39	1	and	and	CCONJ
ejpam-4599	39	2	the	the	DET
ejpam-4599	39	3	fifth	fifth	ADJ
ejpam-4599	39	4	order	order	NOUN
ejpam-4599	39	5	of	of	ADP
ejpam-4599	39	6	kdv	kdv	NOUN
ejpam-4599	39	7	eq	eq	ADJ
ejpam-4599	39	8	.	.	PUNCT
ejpam-4599	39	9	(	(	PUNCT
ejpam-4599	39	10	fkdv	fkdv	NOUN
ejpam-4599	39	11	eq	eq	ADP
ejpam-4599	39	12	.	.	PUNCT
ejpam-4599	39	13	)	)	PUNCT
ejpam-4599	39	14	.	.	PUNCT
ejpam-4599	40	1	the	the	DET
ejpam-4599	40	2	outline	outline	NOUN
ejpam-4599	40	3	of	of	ADP
ejpam-4599	40	4	this	this	DET
ejpam-4599	40	5	paper	paper	NOUN
ejpam-4599	40	6	is	be	AUX
ejpam-4599	40	7	arranged	arrange	VERB
ejpam-4599	40	8	as	as	SCONJ
ejpam-4599	40	9	follows	follow	VERB
ejpam-4599	40	10	.	.	PUNCT
ejpam-4599	41	1	the	the	DET
ejpam-4599	41	2	mathematical	mathematical	ADJ
ejpam-4599	41	3	model	model	NOUN
ejpam-4599	41	4	has	have	AUX
ejpam-4599	41	5	been	be	AUX
ejpam-4599	41	6	presented	present	VERB
ejpam-4599	41	7	in	in	ADP
ejpam-4599	41	8	section	section	NOUN
ejpam-4599	41	9	2	2	NUM
ejpam-4599	41	10	,	,	PUNCT
ejpam-4599	41	11	where	where	SCONJ
ejpam-4599	41	12	,	,	PUNCT
ejpam-4599	41	13	we	we	PRON
ejpam-4599	41	14	displayed	display	VERB
ejpam-4599	41	15	thekt	thekt	NOUN
ejpam-4599	41	16	and	and	CCONJ
ejpam-4599	41	17	some	some	PRON
ejpam-4599	41	18	of	of	ADP
ejpam-4599	41	19	its	its	PRON
ejpam-4599	41	20	related	related	ADJ
ejpam-4599	41	21	theorems	theorem	NOUN
ejpam-4599	41	22	.	.	PUNCT
ejpam-4599	42	1	next	next	ADV
ejpam-4599	42	2	,	,	PUNCT
ejpam-4599	42	3	we	we	PRON
ejpam-4599	42	4	have	have	AUX
ejpam-4599	42	5	shown	show	VERB
ejpam-4599	42	6	the	the	DET
ejpam-4599	42	7	combined	combine	VERB
ejpam-4599	42	8	method	method	NOUN
ejpam-4599	42	9	k	k	PROPN
ejpam-4599	42	10	-	-	PROPN
ejpam-4599	42	11	mi	mi	PROPN
ejpam-4599	42	12	and	and	CCONJ
ejpam-4599	42	13	applied	apply	VERB
ejpam-4599	42	14	it	it	PRON
ejpam-4599	42	15	to	to	ADP
ejpam-4599	42	16	the	the	DET
ejpam-4599	42	17	general	general	ADJ
ejpam-4599	42	18	description	description	NOUN
ejpam-4599	42	19	of	of	ADP
ejpam-4599	42	20	nonlinear	nonlinear	ADJ
ejpam-4599	42	21	pdes	pde	NOUN
ejpam-4599	42	22	.	.	PUNCT
ejpam-4599	43	1	the	the	DET
ejpam-4599	43	2	limit	limit	NOUN
ejpam-4599	43	3	of	of	ADP
ejpam-4599	43	4	iteration	iteration	NOUN
ejpam-4599	43	5	of	of	ADP
ejpam-4599	43	6	this	this	DET
ejpam-4599	43	7	method	method	NOUN
ejpam-4599	43	8	has	have	AUX
ejpam-4599	43	9	been	be	AUX
ejpam-4599	43	10	discussed	discuss	VERB
ejpam-4599	43	11	.	.	PUNCT
ejpam-4599	44	1	in	in	ADP
ejpam-4599	44	2	section	section	NOUN
ejpam-4599	44	3	3	3	NUM
ejpam-4599	44	4	we	we	PRON
ejpam-4599	44	5	have	have	AUX
ejpam-4599	44	6	applied	apply	VERB
ejpam-4599	44	7	the	the	DET
ejpam-4599	44	8	k	k	PROPN
ejpam-4599	44	9	-	-	PROPN
ejpam-4599	44	10	mi	mi	PROPN
ejpam-4599	44	11	method	method	NOUN
ejpam-4599	44	12	to	to	ADP
ejpam-4599	44	13	several	several	ADJ
ejpam-4599	44	14	examples	example	NOUN
ejpam-4599	44	15	to	to	PART
ejpam-4599	44	16	show	show	VERB
ejpam-4599	44	17	the	the	DET
ejpam-4599	44	18	success	success	NOUN
ejpam-4599	44	19	of	of	ADP
ejpam-4599	44	20	the	the	DET
ejpam-4599	44	21	method	method	NOUN
ejpam-4599	44	22	in	in	ADP
ejpam-4599	44	23	reaching	reach	VERB
ejpam-4599	44	24	accuracy	accuracy	NOUN
ejpam-4599	44	25	of	of	ADP
ejpam-4599	44	26	the	the	DET
ejpam-4599	44	27	results	result	NOUN
ejpam-4599	44	28	.	.	PUNCT
ejpam-4599	45	1	section	section	NOUN
ejpam-4599	45	2	4	4	NUM
ejpam-4599	45	3	is	be	AUX
ejpam-4599	45	4	related	relate	VERB
ejpam-4599	45	5	to	to	ADP
ejpam-4599	45	6	comparing	compare	VERB
ejpam-4599	45	7	the	the	DET
ejpam-4599	45	8	classical	classical	ADJ
ejpam-4599	45	9	iterations	iteration	NOUN
ejpam-4599	45	10	method	method	NOUN
ejpam-4599	45	11	to	to	ADP
ejpam-4599	45	12	the	the	DET
ejpam-4599	45	13	modified	modified	ADJ
ejpam-4599	45	14	one	one	NOUN
ejpam-4599	45	15	,	,	PUNCT
ejpam-4599	45	16	both	both	PRON
ejpam-4599	45	17	combined	combine	VERB
ejpam-4599	45	18	with	with	ADP
ejpam-4599	45	19	the	the	DET
ejpam-4599	45	20	kamal	kamal	PROPN
ejpam-4599	45	21	transform	transform	NOUN
ejpam-4599	45	22	.	.	PUNCT
ejpam-4599	46	1	finally	finally	ADV
ejpam-4599	46	2	,	,	PUNCT
ejpam-4599	46	3	our	our	PRON
ejpam-4599	46	4	discussion	discussion	NOUN
ejpam-4599	46	5	and	and	CCONJ
ejpam-4599	46	6	conclusion	conclusion	NOUN
ejpam-4599	46	7	are	be	AUX
ejpam-4599	46	8	given	give	VERB
ejpam-4599	46	9	in	in	ADP
ejpam-4599	46	10	section	section	NOUN
ejpam-4599	46	11	5	5	NUM
ejpam-4599	46	12	and	and	CCONJ
ejpam-4599	46	13	6	6	NUM
ejpam-4599	46	14	respectively	respectively	ADV
ejpam-4599	46	15	.	.	PUNCT
ejpam-4599	47	1	2	2	X
ejpam-4599	47	2	.	.	X
ejpam-4599	47	3	mathematical	mathematical	ADJ
ejpam-4599	47	4	method	method	NOUN
ejpam-4599	47	5	2.1	2.1	NUM
ejpam-4599	47	6	.	.	PUNCT
ejpam-4599	48	1	kamal	kamal	PROPN
ejpam-4599	48	2	transform	transform	VERB
ejpam-4599	48	3	this	this	DET
ejpam-4599	48	4	transformation	transformation	NOUN
ejpam-4599	48	5	is	be	AUX
ejpam-4599	48	6	one	one	NUM
ejpam-4599	48	7	of	of	ADP
ejpam-4599	48	8	the	the	DET
ejpam-4599	48	9	integral	integral	ADJ
ejpam-4599	48	10	transforms	transform	NOUN
ejpam-4599	48	11	that	that	PRON
ejpam-4599	48	12	is	be	AUX
ejpam-4599	48	13	employed	employ	VERB
ejpam-4599	48	14	to	to	PART
ejpam-4599	48	15	find	find	VERB
ejpam-4599	48	16	out	out	ADP
ejpam-4599	48	17	the	the	DET
ejpam-4599	48	18	solution	solution	NOUN
ejpam-4599	48	19	to	to	PART
ejpam-4599	48	20	differential	differential	VERB
ejpam-4599	48	21	equations	equation	NOUN
ejpam-4599	49	1	[	[	X
ejpam-4599	49	2	22	22	NUM
ejpam-4599	49	3	]	]	PUNCT
ejpam-4599	49	4	.	.	PUNCT
ejpam-4599	50	1	we	we	PRON
ejpam-4599	50	2	have	have	AUX
ejpam-4599	50	3	presented	present	VERB
ejpam-4599	50	4	some	some	PRON
ejpam-4599	50	5	of	of	ADP
ejpam-4599	50	6	its	its	PRON
ejpam-4599	50	7	properties	property	NOUN
ejpam-4599	50	8	.	.	PUNCT
ejpam-4599	51	1	we	we	PRON
ejpam-4599	51	2	have	have	AUX
ejpam-4599	51	3	denoted	denote	VERB
ejpam-4599	51	4	the	the	DET
ejpam-4599	51	5	integral	integral	ADJ
ejpam-4599	51	6	transform	transform	NOUN
ejpam-4599	51	7	of	of	ADP
ejpam-4599	51	8	the	the	DET
ejpam-4599	51	9	kamal	kamal	NOUN
ejpam-4599	51	10	by	by	ADP
ejpam-4599	51	11	k	k	PROPN
ejpam-4599	51	12	and	and	CCONJ
ejpam-4599	51	13	it	it	PRON
ejpam-4599	51	14	is	be	AUX
ejpam-4599	51	15	specified	specify	VERB
ejpam-4599	51	16	as	as	ADP
ejpam-4599	51	17	:	:	PUNCT
ejpam-4599	51	18	k	k	PROPN
ejpam-4599	51	19	[	[	X
ejpam-4599	51	20	s(t	s(t	PROPN
ejpam-4599	51	21	)	)	PUNCT
ejpam-4599	51	22	]	]	PUNCT
ejpam-4599	52	1	=	=	PUNCT
ejpam-4599	52	2	∫	∫	PROPN
ejpam-4599	52	3	∞	∞	PROPN
ejpam-4599	52	4	0	0	NUM
ejpam-4599	52	5	s(t	s(t	PROPN
ejpam-4599	52	6	)	)	PUNCT
ejpam-4599	52	7	e−	e−	PROPN
ejpam-4599	52	8	t	t	PROPN
ejpam-4599	52	9	υ	υ	PROPN
ejpam-4599	52	10	t	t	NOUN
ejpam-4599	52	11	=	=	PUNCT
ejpam-4599	52	12	g(υ	g(υ	PROPN
ejpam-4599	52	13	)	)	PUNCT
ejpam-4599	52	14	,	,	PUNCT
ejpam-4599	52	15	(	(	PUNCT
ejpam-4599	52	16	2	2	X
ejpam-4599	52	17	)	)	PUNCT
ejpam-4599	52	18	a.j	a.j	PROPN
ejpam-4599	52	19	.	.	PROPN
ejpam-4599	52	20	mohammed	mohammed	PROPN
ejpam-4599	52	21	,	,	PUNCT
ejpam-4599	52	22	s.t	s.t	PROPN
ejpam-4599	52	23	.	.	PROPN
ejpam-4599	53	1	al	al	PROPN
ejpam-4599	53	2	-	-	PUNCT
ejpam-4599	53	3	ramadhani	ramadhani	ADJ
ejpam-4599	53	4	,	,	PUNCT
ejpam-4599	53	5	r.m.h	r.m.h	NOUN
ejpam-4599	53	6	.	.	PUNCT
ejpam-4599	53	7	darghoth	darghoth	PROPN
ejpam-4599	53	8	/	/	PUNCT
ejpam-4599	53	9	eur	eur	PROPN
ejpam-4599	53	10	.	.	PUNCT
ejpam-4599	54	1	j.	j.	PROPN
ejpam-4599	54	2	pure	pure	PROPN
ejpam-4599	54	3	appl	appl	PROPN
ejpam-4599	54	4	.	.	PROPN
ejpam-4599	54	5	math	math	PROPN
ejpam-4599	54	6	,	,	PUNCT
ejpam-4599	54	7	15	15	NUM
ejpam-4599	54	8	(	(	PUNCT
ejpam-4599	54	9	4	4	NUM
ejpam-4599	54	10	)	)	PUNCT
ejpam-4599	54	11	(	(	PUNCT
ejpam-4599	54	12	2022	2022	NUM
ejpam-4599	54	13	)	)	PUNCT
ejpam-4599	54	14	,	,	PUNCT
ejpam-4599	54	15	1917	1917	NUM
ejpam-4599	54	16	-	-	SYM
ejpam-4599	54	17	1936	1936	NUM
ejpam-4599	54	18	1919	1919	NUM
ejpam-4599	54	19	where	where	SCONJ
ejpam-4599	54	20	,	,	PUNCT
ejpam-4599	54	21	l1	l1	PROPN
ejpam-4599	54	22	≤	≤	PROPN
ejpam-4599	54	23	υ	υ	DET
ejpam-4599	54	24	≤	≤	NOUN
ejpam-4599	54	25	l2	l2	NOUN
ejpam-4599	54	26	.	.	PUNCT
ejpam-4599	55	1	this	this	DET
ejpam-4599	55	2	transform	transform	NOUN
ejpam-4599	55	3	defined	define	VERB
ejpam-4599	55	4	for	for	ADP
ejpam-4599	55	5	functions	function	NOUN
ejpam-4599	55	6	on	on	ADP
ejpam-4599	55	7	the	the	DET
ejpam-4599	55	8	set	set	NOUN
ejpam-4599	55	9	a	a	DET
ejpam-4599	55	10	a	a	PRON
ejpam-4599	55	11	=	=	X
ejpam-4599	55	12	{	{	PUNCT
ejpam-4599	55	13	s(t	s(t	PROPN
ejpam-4599	55	14	)	)	PUNCT
ejpam-4599	55	15	:	:	PUNCT
ejpam-4599	55	16	∃	∃	PROPN
ejpam-4599	55	17	m	m	PROPN
ejpam-4599	55	18	,	,	PUNCT
ejpam-4599	55	19	l1	l1	PROPN
ejpam-4599	55	20	,	,	PUNCT
ejpam-4599	55	21	l2	l2	NOUN
ejpam-4599	55	22	>	>	X
ejpam-4599	55	23	0	0	NUM
ejpam-4599	55	24	,	,	PUNCT
ejpam-4599	55	25	|s(t)|	|s(t)|	NOUN
ejpam-4599	55	26	<	<	X
ejpam-4599	55	27	m	m	VERB
ejpam-4599	55	28	e	e	NOUN
ejpam-4599	55	29	|t|	|t|	VERB
ejpam-4599	55	30	lj	lj	INTJ
ejpam-4599	55	31	,	,	PUNCT
ejpam-4599	55	32	if	if	SCONJ
ejpam-4599	55	33	t	t	PROPN
ejpam-4599	55	34	∈	∈	PROPN
ejpam-4599	55	35	(	(	PUNCT
ejpam-4599	55	36	−1)l	−1)l	NOUN
ejpam-4599	55	37	×	×	NOUN
ejpam-4599	56	1	[	[	X
ejpam-4599	56	2	0,∞	0,∞	NOUN
ejpam-4599	56	3	)	)	PUNCT
ejpam-4599	56	4	}	}	PUNCT
ejpam-4599	56	5	(	(	PUNCT
ejpam-4599	56	6	3	3	X
ejpam-4599	56	7	)	)	PUNCT
ejpam-4599	56	8	theorem	theorem	NOUN
ejpam-4599	56	9	1	1	NUM
ejpam-4599	56	10	.	.	X
ejpam-4599	56	11	assume	assume	VERB
ejpam-4599	56	12	g(υ	g(υ	NUM
ejpam-4599	56	13	)	)	PUNCT
ejpam-4599	56	14	is	be	AUX
ejpam-4599	56	15	the	the	DET
ejpam-4599	56	16	kt	kt	PROPN
ejpam-4599	56	17	of	of	ADP
ejpam-4599	56	18	s(t	s(t	PROPN
ejpam-4599	56	19	)	)	PUNCT
ejpam-4599	56	20	then	then	ADV
ejpam-4599	56	21	[	[	X
ejpam-4599	56	22	17	17	NUM
ejpam-4599	56	23	]	]	X
ejpam-4599	56	24	:	:	PUNCT
ejpam-4599	56	25	k	k	X
ejpam-4599	56	26	[	[	PUNCT
ejpam-4599	56	27	s(m)(t	s(m)(t	X
ejpam-4599	56	28	)	)	PUNCT
ejpam-4599	56	29	]	]	PUNCT
ejpam-4599	57	1	=	=	PUNCT
ejpam-4599	57	2	υ(−m)g(υ)−	υ(−m)g(υ)−	PROPN
ejpam-4599	57	3	m−1∑	m−1∑	NUM
ejpam-4599	57	4	k=0	k=0	PROPN
ejpam-4599	57	5	υk−m+1s(k)(0	υk−m+1s(k)(0	PROPN
ejpam-4599	57	6	)	)	PUNCT
ejpam-4599	57	7	,	,	PUNCT
ejpam-4599	57	8	for	for	ADP
ejpam-4599	57	9	m	m	PROPN
ejpam-4599	57	10	≥	≥	NOUN
ejpam-4599	57	11	0	0	NUM
ejpam-4599	57	12	,	,	PUNCT
ejpam-4599	57	13	(	(	PUNCT
ejpam-4599	57	14	4	4	NUM
ejpam-4599	57	15	)	)	PUNCT
ejpam-4599	57	16	where	where	SCONJ
ejpam-4599	57	17	(	(	PUNCT
ejpam-4599	57	18	s(m	s(m	NOUN
ejpam-4599	57	19	)	)	PUNCT
ejpam-4599	57	20	)	)	PUNCT
ejpam-4599	57	21	is	be	AUX
ejpam-4599	57	22	the	the	DET
ejpam-4599	57	23	mth	mth	NOUN
ejpam-4599	57	24	derivative	derivative	NOUN
ejpam-4599	57	25	.	.	PUNCT
ejpam-4599	58	1	for	for	ADP
ejpam-4599	58	2	m	m	PROPN
ejpam-4599	58	3	=	=	SYM
ejpam-4599	58	4	1	1	NUM
ejpam-4599	58	5	,	,	PUNCT
ejpam-4599	58	6	k	k	X
ejpam-4599	58	7	[	[	X
ejpam-4599	58	8	s′(t	s′(t	NOUN
ejpam-4599	58	9	)	)	PUNCT
ejpam-4599	58	10	]	]	PUNCT
ejpam-4599	58	11	=	=	PUNCT
ejpam-4599	58	12	υ(−1)g(υ)−	υ(−1)g(υ)−	PROPN
ejpam-4599	58	13	s(0	s(0	PROPN
ejpam-4599	58	14	)	)	PUNCT
ejpam-4599	58	15	.	.	PUNCT
ejpam-4599	59	1	theorem	theorem	NOUN
ejpam-4599	59	2	2	2	NUM
ejpam-4599	59	3	.	.	PUNCT
ejpam-4599	60	1	let	let	VERB
ejpam-4599	60	2	a	a	DET
ejpam-4599	60	3	be	be	AUX
ejpam-4599	60	4	a	a	DET
ejpam-4599	60	5	constant	constant	ADJ
ejpam-4599	60	6	and	and	CCONJ
ejpam-4599	60	7	a	a	DET
ejpam-4599	60	8	≥	≥	NOUN
ejpam-4599	60	9	0	0	NUM
ejpam-4599	61	1	then	then	ADV
ejpam-4599	61	2	[	[	X
ejpam-4599	61	3	17	17	NUM
ejpam-4599	61	4	]	]	X
ejpam-4599	61	5	:	:	PUNCT
ejpam-4599	61	6	k	k	X
ejpam-4599	62	1	[	[	X
ejpam-4599	62	2	a	a	X
ejpam-4599	62	3	]	]	X
ejpam-4599	62	4	=	=	PUNCT
ejpam-4599	62	5	a	a	DET
ejpam-4599	62	6	υ	υ	NOUN
ejpam-4599	62	7	.	.	PUNCT
ejpam-4599	62	8	(	(	PUNCT
ejpam-4599	62	9	5	5	NUM
ejpam-4599	62	10	)	)	PUNCT
ejpam-4599	62	11	theorem	theorem	NOUN
ejpam-4599	62	12	3	3	NUM
ejpam-4599	62	13	.	.	X
ejpam-4599	62	14	for	for	ADP
ejpam-4599	62	15	an	an	DET
ejpam-4599	62	16	integer	integer	NOUN
ejpam-4599	62	17	number	number	NOUN
ejpam-4599	62	18	m	m	PROPN
ejpam-4599	62	19	≥	≥	NOUN
ejpam-4599	62	20	0	0	NUM
ejpam-4599	62	21	,	,	PUNCT
ejpam-4599	62	22	the	the	DET
ejpam-4599	62	23	k	k	PROPN
ejpam-4599	63	1	[	[	X
ejpam-4599	63	2	tm	tm	X
ejpam-4599	63	3	]	]	X
ejpam-4599	63	4	is	be	AUX
ejpam-4599	63	5	[	[	X
ejpam-4599	63	6	17	17	NUM
ejpam-4599	63	7	]	]	X
ejpam-4599	63	8	:	:	PUNCT
ejpam-4599	63	9	k	k	X
ejpam-4599	64	1	[	[	X
ejpam-4599	64	2	tm	tm	X
ejpam-4599	64	3	]	]	X
ejpam-4599	64	4	=	=	PUNCT
ejpam-4599	64	5	m	m	PROPN
ejpam-4599	64	6	!	!	PUNCT
ejpam-4599	65	1	vm+1	vm+1	X
ejpam-4599	65	2	(	(	PUNCT
ejpam-4599	65	3	6	6	NUM
ejpam-4599	65	4	)	)	PUNCT
ejpam-4599	65	5	for	for	ADP
ejpam-4599	65	6	more	more	ADJ
ejpam-4599	65	7	information	information	NOUN
ejpam-4599	65	8	about	about	ADP
ejpam-4599	65	9	the	the	DET
ejpam-4599	65	10	properties	property	NOUN
ejpam-4599	65	11	of	of	ADP
ejpam-4599	65	12	this	this	DET
ejpam-4599	65	13	transformation	transformation	NOUN
ejpam-4599	65	14	see	see	VERB
ejpam-4599	65	15	[	[	X
ejpam-4599	65	16	5	5	NUM
ejpam-4599	65	17	,	,	PUNCT
ejpam-4599	65	18	22	22	NUM
ejpam-4599	65	19	]	]	PUNCT
ejpam-4599	65	20	and	and	CCONJ
ejpam-4599	65	21	many	many	ADJ
ejpam-4599	65	22	others	other	NOUN
ejpam-4599	65	23	.	.	PUNCT
ejpam-4599	66	1	in	in	ADP
ejpam-4599	66	2	the	the	DET
ejpam-4599	66	3	next	next	ADJ
ejpam-4599	66	4	section	section	NOUN
ejpam-4599	66	5	,	,	PUNCT
ejpam-4599	66	6	we	we	PRON
ejpam-4599	66	7	use	use	VERB
ejpam-4599	66	8	the	the	DET
ejpam-4599	66	9	above	above	ADJ
ejpam-4599	66	10	theorems	theorem	NOUN
ejpam-4599	66	11	to	to	PART
ejpam-4599	66	12	calculate	calculate	VERB
ejpam-4599	66	13	the	the	DET
ejpam-4599	66	14	appropriate	appropriate	ADJ
ejpam-4599	66	15	solution	solution	NOUN
ejpam-4599	66	16	for	for	ADP
ejpam-4599	66	17	the	the	DET
ejpam-4599	66	18	nonlinear	nonlinear	ADJ
ejpam-4599	66	19	pdes	pde	NOUN
ejpam-4599	66	20	with	with	ADP
ejpam-4599	66	21	the	the	DET
ejpam-4599	66	22	help	help	NOUN
ejpam-4599	66	23	of	of	ADP
ejpam-4599	66	24	the	the	DET
ejpam-4599	66	25	mi	mi	PROPN
ejpam-4599	66	26	method	method	NOUN
ejpam-4599	66	27	.	.	PUNCT
ejpam-4599	67	1	2.2	2.2	NUM
ejpam-4599	67	2	.	.	PUNCT
ejpam-4599	67	3	kamal	kamal	PROPN
ejpam-4599	67	4	-	-	PUNCT
ejpam-4599	67	5	modified	modify	VERB
ejpam-4599	67	6	iteration	iteration	NOUN
ejpam-4599	67	7	method	method	NOUN
ejpam-4599	67	8	for	for	ADP
ejpam-4599	67	9	the	the	DET
ejpam-4599	67	10	kdv	kdv	NOUN
ejpam-4599	67	11	equation	equation	NOUN
ejpam-4599	67	12	types	type	NOUN
ejpam-4599	67	13	consider	consider	VERB
ejpam-4599	67	14	the	the	DET
ejpam-4599	67	15	nonlinear	nonlinear	ADJ
ejpam-4599	67	16	pdes	pde	NOUN
ejpam-4599	67	17	of	of	ADP
ejpam-4599	67	18	the	the	DET
ejpam-4599	67	19	form	form	NOUN
ejpam-4599	67	20	l̇[w(x	l̇[w(x	NOUN
ejpam-4599	67	21	,	,	PUNCT
ejpam-4599	67	22	t	t	PROPN
ejpam-4599	67	23	)	)	PUNCT
ejpam-4599	67	24	]	]	PUNCT
ejpam-4599	68	1	+	+	PUNCT
ejpam-4599	68	2	m	m	VERB
ejpam-4599	68	3	[	[	X
ejpam-4599	68	4	w(x	w(x	NOUN
ejpam-4599	68	5	,	,	PUNCT
ejpam-4599	68	6	t	t	PROPN
ejpam-4599	68	7	)	)	PUNCT
ejpam-4599	68	8	]	]	PUNCT
ejpam-4599	69	1	+	+	PUNCT
ejpam-4599	69	2	g(x	g(x	PROPN
ejpam-4599	69	3	,	,	PUNCT
ejpam-4599	69	4	t	t	PROPN
ejpam-4599	69	5	)	)	PUNCT
ejpam-4599	69	6	=	=	SYM
ejpam-4599	69	7	0	0	NUM
ejpam-4599	69	8	,	,	PUNCT
ejpam-4599	69	9	(	(	PUNCT
ejpam-4599	69	10	7	7	NUM
ejpam-4599	69	11	)	)	PUNCT
ejpam-4599	69	12	where	where	SCONJ
ejpam-4599	69	13	,	,	PUNCT
ejpam-4599	69	14	l̇	l̇	PROPN
ejpam-4599	69	15	is	be	AUX
ejpam-4599	69	16	the	the	DET
ejpam-4599	69	17	time	time	NOUN
ejpam-4599	69	18	dependent	dependent	ADJ
ejpam-4599	69	19	operator	operator	NOUN
ejpam-4599	69	20	,	,	PUNCT
ejpam-4599	69	21	m	m	AUX
ejpam-4599	69	22	is	be	AUX
ejpam-4599	69	23	containing	contain	VERB
ejpam-4599	69	24	only	only	ADV
ejpam-4599	69	25	the	the	DET
ejpam-4599	69	26	dependants	dependant	NOUN
ejpam-4599	69	27	of	of	ADP
ejpam-4599	69	28	the	the	DET
ejpam-4599	69	29	variable	variable	ADJ
ejpam-4599	69	30	x	x	X
ejpam-4599	69	31	and	and	CCONJ
ejpam-4599	69	32	w(x	w(x	NOUN
ejpam-4599	69	33	,	,	PUNCT
ejpam-4599	69	34	0	0	NUM
ejpam-4599	69	35	)	)	PUNCT
ejpam-4599	69	36	=	=	SYM
ejpam-4599	69	37	f	f	X
ejpam-4599	69	38	(	(	PUNCT
ejpam-4599	69	39	x	x	X
ejpam-4599	69	40	)	)	PUNCT
ejpam-4599	69	41	is	be	AUX
ejpam-4599	69	42	the	the	DET
ejpam-4599	69	43	initial	initial	ADJ
ejpam-4599	69	44	condition	condition	NOUN
ejpam-4599	69	45	(	(	PUNCT
ejpam-4599	69	46	ic	ic	NOUN
ejpam-4599	69	47	)	)	PUNCT
ejpam-4599	69	48	of	of	ADP
ejpam-4599	69	49	eq	eq	PROPN
ejpam-4599	69	50	.	.	PUNCT
ejpam-4599	70	1	(	(	PUNCT
ejpam-4599	70	2	7	7	NUM
ejpam-4599	70	3	)	)	PUNCT
ejpam-4599	70	4	.	.	PUNCT
ejpam-4599	71	1	here	here	ADV
ejpam-4599	71	2	,	,	PUNCT
ejpam-4599	71	3	f	f	PROPN
ejpam-4599	71	4	(	(	PUNCT
ejpam-4599	71	5	x	x	NOUN
ejpam-4599	71	6	)	)	PUNCT
ejpam-4599	71	7	and	and	CCONJ
ejpam-4599	71	8	g(x	g(x	PROPN
ejpam-4599	71	9	,	,	PUNCT
ejpam-4599	71	10	t	t	PROPN
ejpam-4599	71	11	)	)	PUNCT
ejpam-4599	71	12	are	be	AUX
ejpam-4599	71	13	known	know	VERB
ejpam-4599	71	14	functions	function	NOUN
ejpam-4599	71	15	.	.	PUNCT
ejpam-4599	72	1	first	first	ADV
ejpam-4599	72	2	,	,	PUNCT
ejpam-4599	72	3	we	we	PRON
ejpam-4599	72	4	apply	apply	VERB
ejpam-4599	72	5	kt	kt	PROPN
ejpam-4599	72	6	to	to	ADP
ejpam-4599	72	7	eq	eq	PROPN
ejpam-4599	72	8	.	.	PUNCT
ejpam-4599	73	1	(	(	PUNCT
ejpam-4599	73	2	7	7	X
ejpam-4599	73	3	)	)	PUNCT
ejpam-4599	73	4	k[l[w(x	k[l[w(x	PROPN
ejpam-4599	73	5	,	,	PUNCT
ejpam-4599	73	6	t	t	PROPN
ejpam-4599	73	7	)	)	PUNCT
ejpam-4599	73	8	]	]	PUNCT
ejpam-4599	73	9	]	]	X
ejpam-4599	74	1	+	+	PUNCT
ejpam-4599	74	2	k[m	k[m	PROPN
ejpam-4599	74	3	[	[	X
ejpam-4599	74	4	w(x	w(x	PROPN
ejpam-4599	74	5	,	,	PUNCT
ejpam-4599	74	6	t	t	PROPN
ejpam-4599	74	7	)	)	PUNCT
ejpam-4599	74	8	]	]	PUNCT
ejpam-4599	74	9	]	]	X
ejpam-4599	75	1	+	+	ADJ
ejpam-4599	75	2	k[g(x	k[g(x	X
ejpam-4599	75	3	,	,	PUNCT
ejpam-4599	75	4	t	t	PROPN
ejpam-4599	75	5	)	)	PUNCT
ejpam-4599	75	6	]	]	PUNCT
ejpam-4599	75	7	=	=	PUNCT
ejpam-4599	75	8	0	0	NUM
ejpam-4599	75	9	,	,	PUNCT
ejpam-4599	75	10	(	(	PUNCT
ejpam-4599	75	11	8)	8)	NUM
ejpam-4599	75	12	next	next	ADV
ejpam-4599	75	13	,	,	PUNCT
ejpam-4599	75	14	we	we	PRON
ejpam-4599	75	15	need	need	VERB
ejpam-4599	75	16	to	to	PART
ejpam-4599	75	17	use	use	VERB
ejpam-4599	75	18	theorems	theorem	NOUN
ejpam-4599	75	19	(	(	PUNCT
ejpam-4599	75	20	1	1	NUM
ejpam-4599	75	21	and	and	CCONJ
ejpam-4599	75	22	2	2	NUM
ejpam-4599	75	23	)	)	PUNCT
ejpam-4599	75	24	and	and	CCONJ
ejpam-4599	75	25	the	the	DET
ejpam-4599	75	26	ic	ic	PROPN
ejpam-4599	75	27	in	in	ADP
ejpam-4599	75	28	eq	eq	PROPN
ejpam-4599	75	29	.	.	PUNCT
ejpam-4599	76	1	(	(	PUNCT
ejpam-4599	76	2	8)	8)	NUM
ejpam-4599	76	3	as	as	ADP
ejpam-4599	76	4	w	w	PROPN
ejpam-4599	76	5	(	(	PUNCT
ejpam-4599	76	6	x	x	NOUN
ejpam-4599	76	7	,	,	PUNCT
ejpam-4599	76	8	υ	υ	NOUN
ejpam-4599	76	9	)	)	PUNCT
ejpam-4599	76	10	=	=	SYM
ejpam-4599	76	11	υ	υ	PROPN
ejpam-4599	76	12	w(x	w(x	NOUN
ejpam-4599	76	13	,	,	PUNCT
ejpam-4599	76	14	0)−	0)−	PUNCT
ejpam-4599	77	1	υ	υ	PRON
ejpam-4599	77	2	k[m	k[m	PROPN
ejpam-4599	77	3	[	[	X
ejpam-4599	77	4	w(x	w(x	PROPN
ejpam-4599	77	5	,	,	PUNCT
ejpam-4599	77	6	t	t	PROPN
ejpam-4599	77	7	)	)	PUNCT
ejpam-4599	77	8	]	]	PUNCT
ejpam-4599	78	1	+	+	PUNCT
ejpam-4599	78	2	g(x	g(x	PROPN
ejpam-4599	78	3	,	,	PUNCT
ejpam-4599	78	4	t	t	PROPN
ejpam-4599	78	5	)	)	PUNCT
ejpam-4599	78	6	]	]	PUNCT
ejpam-4599	78	7	.	.	PUNCT
ejpam-4599	79	1	(	(	PUNCT
ejpam-4599	79	2	9	9	NUM
ejpam-4599	79	3	)	)	PUNCT
ejpam-4599	79	4	to	to	PART
ejpam-4599	79	5	find	find	VERB
ejpam-4599	79	6	w(x	w(x	PROPN
ejpam-4599	79	7	,	,	PUNCT
ejpam-4599	79	8	t	t	PROPN
ejpam-4599	79	9	)	)	PUNCT
ejpam-4599	79	10	,	,	PUNCT
ejpam-4599	79	11	we	we	PRON
ejpam-4599	79	12	need	need	VERB
ejpam-4599	79	13	to	to	PART
ejpam-4599	79	14	take	take	VERB
ejpam-4599	79	15	the	the	DET
ejpam-4599	79	16	inverse	inverse	NOUN
ejpam-4599	79	17	of	of	ADP
ejpam-4599	79	18	kamal	kamal	PROPN
ejpam-4599	79	19	transform	transform	NOUN
ejpam-4599	79	20	(	(	PUNCT
ejpam-4599	79	21	k−1	k−1	PROPN
ejpam-4599	79	22	)	)	PUNCT
ejpam-4599	79	23	of	of	ADP
ejpam-4599	79	24	eq	eq	PROPN
ejpam-4599	79	25	.	.	PUNCT
ejpam-4599	80	1	(	(	PUNCT
ejpam-4599	80	2	9	9	NUM
ejpam-4599	80	3	)	)	PUNCT
ejpam-4599	80	4	,	,	PUNCT
ejpam-4599	80	5	which	which	PRON
ejpam-4599	80	6	yields	yield	VERB
ejpam-4599	80	7	w(x	w(x	PROPN
ejpam-4599	80	8	,	,	PUNCT
ejpam-4599	80	9	t	t	PROPN
ejpam-4599	80	10	)	)	PUNCT
ejpam-4599	80	11	=	=	SYM
ejpam-4599	81	1	w(x	w(x	NOUN
ejpam-4599	81	2	,	,	PUNCT
ejpam-4599	81	3	0)−k−1[υk[m	0)−k−1[υk[m	PROPN
ejpam-4599	82	1	[	[	X
ejpam-4599	82	2	w(x	w(x	PROPN
ejpam-4599	82	3	,	,	PUNCT
ejpam-4599	82	4	t	t	PROPN
ejpam-4599	82	5	)	)	PUNCT
ejpam-4599	82	6	]	]	PUNCT
ejpam-4599	83	1	+	+	PUNCT
ejpam-4599	83	2	g(x	g(x	PROPN
ejpam-4599	83	3	,	,	PUNCT
ejpam-4599	83	4	t	t	PROPN
ejpam-4599	83	5	)	)	PUNCT
ejpam-4599	83	6	]	]	PUNCT
ejpam-4599	83	7	]	]	PUNCT
ejpam-4599	83	8	.	.	PUNCT
ejpam-4599	84	1	(	(	PUNCT
ejpam-4599	84	2	10	10	NUM
ejpam-4599	84	3	)	)	PUNCT
ejpam-4599	84	4	second	second	ADJ
ejpam-4599	84	5	,	,	PUNCT
ejpam-4599	84	6	we	we	PRON
ejpam-4599	84	7	use	use	VERB
ejpam-4599	84	8	the	the	DET
ejpam-4599	84	9	mi	mi	PROPN
ejpam-4599	84	10	method	method	NOUN
ejpam-4599	84	11	on	on	ADP
ejpam-4599	84	12	eq	eq	ADP
ejpam-4599	84	13	.	.	PUNCT
ejpam-4599	85	1	(	(	PUNCT
ejpam-4599	85	2	10	10	NUM
ejpam-4599	85	3	)	)	PUNCT
ejpam-4599	85	4	to	to	PART
ejpam-4599	85	5	deduce	deduce	VERB
ejpam-4599	85	6	the	the	DET
ejpam-4599	85	7	solution	solution	NOUN
ejpam-4599	85	8	of	of	ADP
ejpam-4599	85	9	eq	eq	PROPN
ejpam-4599	85	10	.	.	PUNCT
ejpam-4599	86	1	(	(	PUNCT
ejpam-4599	86	2	7	7	NUM
ejpam-4599	86	3	)	)	PUNCT
ejpam-4599	86	4	.	.	PUNCT
ejpam-4599	87	1	let	let	VERB
ejpam-4599	87	2	w(x	w(x	NOUN
ejpam-4599	87	3	,	,	PUNCT
ejpam-4599	87	4	0	0	NUM
ejpam-4599	87	5	)	)	PUNCT
ejpam-4599	87	6	=	=	SYM
ejpam-4599	87	7	w0(x	w0(x	PROPN
ejpam-4599	87	8	,	,	PUNCT
ejpam-4599	87	9	t	t	PROPN
ejpam-4599	87	10	)	)	PUNCT
ejpam-4599	87	11	,	,	PUNCT
ejpam-4599	87	12	be	be	AUX
ejpam-4599	87	13	the	the	DET
ejpam-4599	87	14	first	first	ADJ
ejpam-4599	87	15	approximate	approximate	ADJ
ejpam-4599	87	16	solution	solution	NOUN
ejpam-4599	87	17	then	then	ADV
ejpam-4599	87	18	,	,	PUNCT
ejpam-4599	87	19	eq	eq	NOUN
ejpam-4599	87	20	.	.	PUNCT
ejpam-4599	88	1	(	(	PUNCT
ejpam-4599	88	2	10	10	NUM
ejpam-4599	88	3	)	)	PUNCT
ejpam-4599	88	4	becomes	become	VERB
ejpam-4599	88	5	wn+1(x	wn+1(x	PROPN
ejpam-4599	88	6	,	,	PUNCT
ejpam-4599	88	7	t	t	PROPN
ejpam-4599	88	8	)	)	PUNCT
ejpam-4599	88	9	=	=	SYM
ejpam-4599	88	10	w0(x	w0(x	PROPN
ejpam-4599	88	11	,	,	PUNCT
ejpam-4599	88	12	0)−k−1[υk[m	0)−k−1[υk[m	NUM
ejpam-4599	89	1	[	[	X
ejpam-4599	89	2	wn(x	wn(x	X
ejpam-4599	89	3	,	,	PUNCT
ejpam-4599	89	4	t	t	PROPN
ejpam-4599	89	5	)	)	PUNCT
ejpam-4599	89	6	]	]	PUNCT
ejpam-4599	90	1	+	+	PUNCT
ejpam-4599	90	2	g(x	g(x	PROPN
ejpam-4599	90	3	,	,	PUNCT
ejpam-4599	90	4	t	t	PROPN
ejpam-4599	90	5	)	)	PUNCT
ejpam-4599	90	6	]	]	X
ejpam-4599	90	7	]	]	PUNCT
ejpam-4599	90	8	.	.	PUNCT
ejpam-4599	91	1	(	(	PUNCT
ejpam-4599	91	2	11	11	NUM
ejpam-4599	91	3	)	)	PUNCT
ejpam-4599	91	4	a.j	a.j	PROPN
ejpam-4599	91	5	.	.	PROPN
ejpam-4599	91	6	mohammed	mohammed	PROPN
ejpam-4599	91	7	,	,	PUNCT
ejpam-4599	91	8	s.t	s.t	PROPN
ejpam-4599	91	9	.	.	PROPN
ejpam-4599	91	10	al	al	PROPN
ejpam-4599	91	11	-	-	PUNCT
ejpam-4599	91	12	ramadhani	ramadhani	ADJ
ejpam-4599	91	13	,	,	PUNCT
ejpam-4599	91	14	r.m.h	r.m.h	NOUN
ejpam-4599	91	15	.	.	PUNCT
ejpam-4599	91	16	darghoth	darghoth	PROPN
ejpam-4599	91	17	/	/	PUNCT
ejpam-4599	91	18	eur	eur	PROPN
ejpam-4599	91	19	.	.	PUNCT
ejpam-4599	92	1	j.	j.	PROPN
ejpam-4599	92	2	pure	pure	PROPN
ejpam-4599	92	3	appl	appl	PROPN
ejpam-4599	92	4	.	.	PROPN
ejpam-4599	92	5	math	math	PROPN
ejpam-4599	92	6	,	,	PUNCT
ejpam-4599	92	7	15	15	NUM
ejpam-4599	92	8	(	(	PUNCT
ejpam-4599	92	9	4	4	NUM
ejpam-4599	92	10	)	)	PUNCT
ejpam-4599	92	11	(	(	PUNCT
ejpam-4599	92	12	2022	2022	NUM
ejpam-4599	92	13	)	)	PUNCT
ejpam-4599	92	14	,	,	PUNCT
ejpam-4599	92	15	1917	1917	NUM
ejpam-4599	92	16	-	-	SYM
ejpam-4599	92	17	1936	1936	NUM
ejpam-4599	92	18	1920	1920	NUM
ejpam-4599	92	19	remark	remark	NOUN
ejpam-4599	92	20	1	1	NUM
ejpam-4599	92	21	.	.	PUNCT
ejpam-4599	93	1	during	during	ADP
ejpam-4599	93	2	the	the	DET
ejpam-4599	93	3	calculation	calculation	NOUN
ejpam-4599	93	4	of	of	ADP
ejpam-4599	93	5	classical	classical	ADJ
ejpam-4599	93	6	iteration	iteration	NOUN
ejpam-4599	93	7	method	method	NOUN
ejpam-4599	93	8	,	,	PUNCT
ejpam-4599	93	9	some	some	DET
ejpam-4599	93	10	terms	term	NOUN
ejpam-4599	93	11	are	be	AUX
ejpam-4599	93	12	created	create	VERB
ejpam-4599	93	13	,	,	PUNCT
ejpam-4599	93	14	we	we	PRON
ejpam-4599	93	15	need	need	VERB
ejpam-4599	93	16	to	to	PART
ejpam-4599	93	17	cancel	cancel	VERB
ejpam-4599	93	18	the	the	DET
ejpam-4599	93	19	un	un	PROPN
ejpam-4599	93	20	necessary	necessary	ADJ
ejpam-4599	93	21	terms	term	NOUN
ejpam-4599	93	22	which	which	PRON
ejpam-4599	93	23	make	make	VERB
ejpam-4599	93	24	noise	noise	NOUN
ejpam-4599	93	25	to	to	ADP
ejpam-4599	93	26	our	our	PRON
ejpam-4599	93	27	calculation	calculation	NOUN
ejpam-4599	93	28	(	(	PUNCT
ejpam-4599	93	29	see	see	VERB
ejpam-4599	93	30	section	section	NOUN
ejpam-4599	93	31	(	(	PUNCT
ejpam-4599	93	32	4	4	NUM
ejpam-4599	93	33	)	)	PUNCT
ejpam-4599	93	34	.	.	PUNCT
ejpam-4599	94	1	for	for	ADP
ejpam-4599	94	2	that	that	DET
ejpam-4599	94	3	reason	reason	NOUN
ejpam-4599	94	4	,	,	PUNCT
ejpam-4599	94	5	we	we	PRON
ejpam-4599	94	6	have	have	AUX
ejpam-4599	94	7	defined	define	VERB
ejpam-4599	94	8	the	the	DET
ejpam-4599	94	9	condition	condition	NOUN
ejpam-4599	94	10	of	of	ADP
ejpam-4599	94	11	the	the	DET
ejpam-4599	94	12	mi	mi	PROPN
ejpam-4599	94	13	method	method	NOUN
ejpam-4599	94	14	as	as	ADP
ejpam-4599	94	15	m	m	PROPN
ejpam-4599	94	16	[	[	X
ejpam-4599	94	17	wn(x	wn(x	X
ejpam-4599	94	18	,	,	PUNCT
ejpam-4599	94	19	t	t	PROPN
ejpam-4599	94	20	)	)	PUNCT
ejpam-4599	94	21	]	]	PUNCT
ejpam-4599	95	1	=	=	SYM
ejpam-4599	95	2	qn(x	qn(x	X
ejpam-4599	95	3	,	,	PUNCT
ejpam-4599	95	4	t	t	PROPN
ejpam-4599	95	5	)	)	PUNCT
ejpam-4599	95	6	+	+	NOUN
ejpam-4599	95	7	o(tn+1	o(tn+1	ADJ
ejpam-4599	95	8	)	)	PUNCT
ejpam-4599	95	9	,	,	PUNCT
ejpam-4599	95	10	n	n	NOUN
ejpam-4599	95	11	=	=	SYM
ejpam-4599	95	12	0	0	NUM
ejpam-4599	95	13	,	,	PUNCT
ejpam-4599	95	14	1	1	NUM
ejpam-4599	95	15	,	,	PUNCT
ejpam-4599	95	16	2	2	NUM
ejpam-4599	95	17	,	,	PUNCT
ejpam-4599	95	18	.	.	PUNCT
ejpam-4599	95	19	.	.	PUNCT
ejpam-4599	95	20	.	.	PUNCT
ejpam-4599	96	1	(	(	PUNCT
ejpam-4599	96	2	12	12	NUM
ejpam-4599	96	3	)	)	PUNCT
ejpam-4599	96	4	where	where	SCONJ
ejpam-4599	96	5	,	,	PUNCT
ejpam-4599	96	6	o(tn+1	o(tn+1	ADJ
ejpam-4599	96	7	)	)	PUNCT
ejpam-4599	96	8	are	be	AUX
ejpam-4599	96	9	higher	high	ADJ
ejpam-4599	96	10	order	order	NOUN
ejpam-4599	96	11	terms	term	NOUN
ejpam-4599	96	12	to	to	PART
ejpam-4599	96	13	be	be	AUX
ejpam-4599	96	14	neglected	neglect	VERB
ejpam-4599	96	15	.	.	PUNCT
ejpam-4599	97	1	therefore	therefore	ADV
ejpam-4599	97	2	,	,	PUNCT
ejpam-4599	97	3	eq	eq	ADJ
ejpam-4599	97	4	.	.	PUNCT
ejpam-4599	98	1	(	(	PUNCT
ejpam-4599	98	2	11	11	NUM
ejpam-4599	98	3	)	)	PUNCT
ejpam-4599	98	4	becomes	become	VERB
ejpam-4599	98	5	:	:	PUNCT
ejpam-4599	98	6	wn+1(x	wn+1(x	PROPN
ejpam-4599	98	7	,	,	PUNCT
ejpam-4599	98	8	t	t	PROPN
ejpam-4599	98	9	)	)	PUNCT
ejpam-4599	99	1	=	=	SYM
ejpam-4599	99	2	w0(x	w0(x	PROPN
ejpam-4599	99	3	,	,	PUNCT
ejpam-4599	99	4	0)−k−1[υk[qn(x	0)−k−1[υk[qn(x	PROPN
ejpam-4599	99	5	,	,	PUNCT
ejpam-4599	99	6	t	t	PROPN
ejpam-4599	99	7	)	)	PUNCT
ejpam-4599	100	1	+	+	NOUN
ejpam-4599	100	2	g(x	g(x	PROPN
ejpam-4599	100	3	,	,	PUNCT
ejpam-4599	100	4	t	t	PROPN
ejpam-4599	100	5	)	)	PUNCT
ejpam-4599	100	6	]	]	X
ejpam-4599	100	7	]	]	PUNCT
ejpam-4599	100	8	.	.	PUNCT
ejpam-4599	101	1	(	(	PUNCT
ejpam-4599	101	2	13	13	NUM
ejpam-4599	101	3	)	)	PUNCT
ejpam-4599	101	4	suppose	suppose	VERB
ejpam-4599	101	5	that	that	SCONJ
ejpam-4599	101	6	g(x	g(x	NOUN
ejpam-4599	101	7	,	,	PUNCT
ejpam-4599	101	8	t	t	PROPN
ejpam-4599	101	9	)	)	PUNCT
ejpam-4599	101	10	is	be	AUX
ejpam-4599	101	11	smooth	smooth	ADJ
ejpam-4599	101	12	enough	enough	ADV
ejpam-4599	101	13	,	,	PUNCT
ejpam-4599	101	14	so	so	CCONJ
ejpam-4599	101	15	it	it	PRON
ejpam-4599	101	16	has	have	VERB
ejpam-4599	101	17	taylor	taylor	PROPN
ejpam-4599	101	18	’s	’s	PART
ejpam-4599	101	19	expansion	expansion	NOUN
ejpam-4599	101	20	in	in	ADP
ejpam-4599	101	21	the	the	DET
ejpam-4599	101	22	variable	variable	ADJ
ejpam-4599	101	23	t	t	NOUN
ejpam-4599	101	24	(	(	PUNCT
ejpam-4599	101	25	about	about	ADP
ejpam-4599	101	26	t	t	NOUN
ejpam-4599	101	27	=	=	SYM
ejpam-4599	101	28	0	0	NUM
ejpam-4599	101	29	)	)	PUNCT
ejpam-4599	101	30	g(x	g(x	NOUN
ejpam-4599	101	31	,	,	PUNCT
ejpam-4599	101	32	t	t	PROPN
ejpam-4599	101	33	)	)	PUNCT
ejpam-4599	102	1	=	=	SYM
ejpam-4599	102	2	gn(x	gn(x	X
ejpam-4599	102	3	,	,	PUNCT
ejpam-4599	102	4	t	t	PROPN
ejpam-4599	102	5	)	)	PUNCT
ejpam-4599	102	6	+	+	NOUN
ejpam-4599	102	7	o(tn+1	o(tn+1	ADJ
ejpam-4599	102	8	)	)	PUNCT
ejpam-4599	102	9	,	,	PUNCT
ejpam-4599	102	10	(	(	PUNCT
ejpam-4599	102	11	14	14	NUM
ejpam-4599	102	12	)	)	PUNCT
ejpam-4599	102	13	where	where	SCONJ
ejpam-4599	102	14	,	,	PUNCT
ejpam-4599	102	15	gn	gn	PROPN
ejpam-4599	102	16	=	=	PROPN
ejpam-4599	102	17	n+1∑	n+1∑	PROPN
ejpam-4599	102	18	k=0	k=0	PROPN
ejpam-4599	102	19	skt	skt	PROPN
ejpam-4599	102	20	k	k	PROPN
ejpam-4599	102	21	=	=	PROPN
ejpam-4599	102	22	s0	s0	PROPN
ejpam-4599	102	23	+	+	CCONJ
ejpam-4599	102	24	s1t+	s1t+	PROPN
ejpam-4599	102	25	s2	s2	NOUN
ejpam-4599	102	26	t	t	PROPN
ejpam-4599	102	27	2	2	NUM
ejpam-4599	102	28	+	+	CCONJ
ejpam-4599	102	29	·	·	PUNCT
ejpam-4599	102	30	·	·	PUNCT
ejpam-4599	102	31	·	·	PUNCT
ejpam-4599	102	32	+	+	NUM
ejpam-4599	102	33	sn+1	sn+1	PROPN
ejpam-4599	102	34	t	t	PROPN
ejpam-4599	102	35	n+1	n+1	PROPN
ejpam-4599	102	36	,	,	PUNCT
ejpam-4599	102	37	(	(	PUNCT
ejpam-4599	102	38	15	15	NUM
ejpam-4599	102	39	)	)	PUNCT
ejpam-4599	102	40	sk	sk	NOUN
ejpam-4599	102	41	=	=	NOUN
ejpam-4599	102	42	1	1	NUM
ejpam-4599	102	43	k	k	NOUN
ejpam-4599	102	44	!	!	PUNCT
ejpam-4599	103	1	[	[	PUNCT
ejpam-4599	103	2	k	k	X
ejpam-4599	103	3	tk	tk	PROPN
ejpam-4599	103	4	g(x	g(x	PROPN
ejpam-4599	103	5	,	,	PUNCT
ejpam-4599	103	6	t	t	PROPN
ejpam-4599	103	7	)	)	PUNCT
ejpam-4599	103	8	]	]	PUNCT
ejpam-4599	103	9	,	,	PUNCT
ejpam-4599	103	10	so	so	ADV
ejpam-4599	103	11	,	,	PUNCT
ejpam-4599	103	12	eq	eq	NOUN
ejpam-4599	103	13	.	.	PUNCT
ejpam-4599	103	14	(	(	PUNCT
ejpam-4599	103	15	13	13	NUM
ejpam-4599	103	16	)	)	PUNCT
ejpam-4599	103	17	becomes	become	VERB
ejpam-4599	103	18	wn+1(x	wn+1(x	PROPN
ejpam-4599	103	19	,	,	PUNCT
ejpam-4599	103	20	t	t	PROPN
ejpam-4599	103	21	)	)	PUNCT
ejpam-4599	103	22	=	=	SYM
ejpam-4599	104	1	w0(x	w0(x	PROPN
ejpam-4599	104	2	,	,	PUNCT
ejpam-4599	104	3	0)−k−1[υk[qn	0)−k−1[υk[qn	X
ejpam-4599	105	1	+	+	ADJ
ejpam-4599	105	2	gn	gn	X
ejpam-4599	105	3	]	]	X
ejpam-4599	105	4	]	]	X
ejpam-4599	105	5	.	.	PUNCT
ejpam-4599	106	1	(	(	PUNCT
ejpam-4599	106	2	16	16	NUM
ejpam-4599	106	3	)	)	PUNCT
ejpam-4599	106	4	on	on	ADP
ejpam-4599	106	5	the	the	DET
ejpam-4599	106	6	other	other	ADJ
ejpam-4599	106	7	hand	hand	NOUN
ejpam-4599	106	8	,	,	PUNCT
ejpam-4599	106	9	eq	eq	NOUN
ejpam-4599	106	10	.	.	PUNCT
ejpam-4599	107	1	(	(	PUNCT
ejpam-4599	107	2	16	16	NUM
ejpam-4599	107	3	)	)	PUNCT
ejpam-4599	107	4	can	can	AUX
ejpam-4599	107	5	be	be	AUX
ejpam-4599	107	6	written	write	VERB
ejpam-4599	107	7	as	as	ADP
ejpam-4599	107	8	wn+1(x	wn+1(x	PROPN
ejpam-4599	107	9	,	,	PUNCT
ejpam-4599	107	10	t	t	PROPN
ejpam-4599	107	11	)	)	PUNCT
ejpam-4599	107	12	=	=	SYM
ejpam-4599	107	13	w0(x	w0(x	PROPN
ejpam-4599	107	14	,	,	PUNCT
ejpam-4599	107	15	0)−k−1[υk[qn−1+gn−1]]−k−1[υk[(qn−qn−1)+(gn−gn−1	0)−k−1[υk[qn−1+gn−1]]−k−1[υk[(qn−qn−1)+(gn−gn−1	PROPN
ejpam-4599	107	16	)	)	PUNCT
ejpam-4599	107	17	]	]	PUNCT
ejpam-4599	107	18	]	]	PUNCT
ejpam-4599	107	19	,	,	PUNCT
ejpam-4599	107	20	(	(	PUNCT
ejpam-4599	107	21	17	17	NUM
ejpam-4599	107	22	)	)	PUNCT
ejpam-4599	107	23	set	set	VERB
ejpam-4599	107	24	n	n	NOUN
ejpam-4599	107	25	=	=	PUNCT
ejpam-4599	107	26	n−	n−	NOUN
ejpam-4599	107	27	1	1	NUM
ejpam-4599	107	28	in	in	ADP
ejpam-4599	107	29	(	(	PUNCT
ejpam-4599	107	30	16	16	NUM
ejpam-4599	107	31	)	)	PUNCT
ejpam-4599	107	32	,	,	PUNCT
ejpam-4599	107	33	then	then	ADV
ejpam-4599	107	34	we	we	PRON
ejpam-4599	107	35	have	have	AUX
ejpam-4599	107	36	used	use	VERB
ejpam-4599	107	37	it	it	PRON
ejpam-4599	107	38	in	in	ADP
ejpam-4599	107	39	eq	eq	ADP
ejpam-4599	107	40	.	.	PUNCT
ejpam-4599	108	1	(	(	PUNCT
ejpam-4599	108	2	17	17	NUM
ejpam-4599	108	3	)	)	PUNCT
ejpam-4599	108	4	,	,	PUNCT
ejpam-4599	108	5	yields	yield	NOUN
ejpam-4599	108	6	,	,	PUNCT
ejpam-4599	108	7	wn+1(x	wn+1(x	PROPN
ejpam-4599	108	8	,	,	PUNCT
ejpam-4599	108	9	t	t	PROPN
ejpam-4599	108	10	)	)	PUNCT
ejpam-4599	108	11	=	=	PUNCT
ejpam-4599	109	1	wn(x	wn(x	X
ejpam-4599	109	2	,	,	PUNCT
ejpam-4599	109	3	0)−k−1[υk[(qn	0)−k−1[υk[(qn	PROPN
ejpam-4599	109	4	−qn−1	−qn−1	ADP
ejpam-4599	109	5	)	)	PUNCT
ejpam-4599	109	6	+	+	CCONJ
ejpam-4599	109	7	(	(	PUNCT
ejpam-4599	109	8	gn	gn	INTJ
ejpam-4599	109	9	−gn−1	−gn−1	X
ejpam-4599	109	10	)	)	PUNCT
ejpam-4599	109	11	]	]	X
ejpam-4599	109	12	]	]	PUNCT
ejpam-4599	109	13	,	,	PUNCT
ejpam-4599	109	14	(	(	PUNCT
ejpam-4599	109	15	18	18	NUM
ejpam-4599	109	16	)	)	PUNCT
ejpam-4599	109	17	here	here	ADV
ejpam-4599	109	18	,	,	PUNCT
ejpam-4599	109	19	q−1	q−1	PROPN
ejpam-4599	109	20	=	=	PUNCT
ejpam-4599	109	21	0	0	NUM
ejpam-4599	109	22	,	,	PUNCT
ejpam-4599	109	23	and	and	CCONJ
ejpam-4599	109	24	g−1	g−1	PROPN
ejpam-4599	109	25	=	=	SYM
ejpam-4599	109	26	0	0	X
ejpam-4599	109	27	.	.	PUNCT
ejpam-4599	110	1	now	now	ADV
ejpam-4599	110	2	,	,	PUNCT
ejpam-4599	110	3	let	let	VERB
ejpam-4599	110	4	t	t	NOUN
ejpam-4599	110	5	[	[	X
ejpam-4599	110	6	wn(x	wn(x	X
ejpam-4599	110	7	,	,	PUNCT
ejpam-4599	110	8	t	t	PROPN
ejpam-4599	110	9	)	)	PUNCT
ejpam-4599	110	10	]	]	PUNCT
ejpam-4599	110	11	is	be	AUX
ejpam-4599	110	12	define	define	VERB
ejpam-4599	110	13	as	as	ADP
ejpam-4599	110	14	t	t	PROPN
ejpam-4599	110	15	[	[	X
ejpam-4599	110	16	wn(x	wn(x	X
ejpam-4599	110	17	,	,	PUNCT
ejpam-4599	110	18	t	t	PROPN
ejpam-4599	110	19	)	)	PUNCT
ejpam-4599	110	20	]	]	PUNCT
ejpam-4599	111	1	=	=	PUNCT
ejpam-4599	111	2	−k−1[υk[(qn	−k−1[υk[(qn	PROPN
ejpam-4599	111	3	−qn−1	−qn−1	ADP
ejpam-4599	111	4	)	)	PUNCT
ejpam-4599	112	1	+	+	CCONJ
ejpam-4599	112	2	(	(	PUNCT
ejpam-4599	112	3	gn	gn	INTJ
ejpam-4599	112	4	−gn−1	−gn−1	X
ejpam-4599	112	5	)	)	PUNCT
ejpam-4599	112	6	]	]	X
ejpam-4599	112	7	]	]	PUNCT
ejpam-4599	112	8	,	,	PUNCT
ejpam-4599	112	9	(	(	PUNCT
ejpam-4599	112	10	19	19	NUM
ejpam-4599	112	11	)	)	PUNCT
ejpam-4599	112	12	if	if	SCONJ
ejpam-4599	112	13	we	we	PRON
ejpam-4599	112	14	assume	assume	VERB
ejpam-4599	112	15	ηn+1	ηn+1	ADV
ejpam-4599	112	16	=	=	SYM
ejpam-4599	112	17	t	t	X
ejpam-4599	113	1	[	[	X
ejpam-4599	113	2	η0	η0	NOUN
ejpam-4599	113	3	+	+	NUM
ejpam-4599	113	4	η1	η1	NOUN
ejpam-4599	113	5	+	+	CCONJ
ejpam-4599	113	6	η2	η2	ADJ
ejpam-4599	113	7	+	+	X
ejpam-4599	113	8	·	·	PUNCT
ejpam-4599	113	9	·	·	PUNCT
ejpam-4599	113	10	·	·	PUNCT
ejpam-4599	114	1	+	+	PUNCT
ejpam-4599	114	2	ηn	ηn	ADJ
ejpam-4599	114	3	]	]	PUNCT
ejpam-4599	114	4	,	,	PUNCT
ejpam-4599	114	5	such	such	ADJ
ejpam-4599	114	6	that	that	SCONJ
ejpam-4599	114	7	η0	η0	ADJ
ejpam-4599	114	8	=	=	NOUN
ejpam-4599	114	9	w0	w0	NOUN
ejpam-4599	114	10	,	,	PUNCT
ejpam-4599	114	11	η1	η1	NOUN
ejpam-4599	114	12	=	=	SYM
ejpam-4599	114	13	t	t	X
ejpam-4599	114	14	[	[	X
ejpam-4599	114	15	η0	η0	NOUN
ejpam-4599	114	16	]	]	PUNCT
ejpam-4599	114	17	,	,	PUNCT
ejpam-4599	114	18	η2	η2	PROPN
ejpam-4599	114	19	=	=	NOUN
ejpam-4599	114	20	t	t	X
ejpam-4599	114	21	[	[	X
ejpam-4599	114	22	η0	η0	NOUN
ejpam-4599	114	23	+	+	NUM
ejpam-4599	114	24	η1	η1	NOUN
ejpam-4599	114	25	]	]	PUNCT
ejpam-4599	114	26	=	=	SYM
ejpam-4599	114	27	t	t	PROPN
ejpam-4599	115	1	[	[	X
ejpam-4599	115	2	w1	w1	NOUN
ejpam-4599	115	3	]	]	PUNCT
ejpam-4599	115	4	,	,	PUNCT
ejpam-4599	115	5	...	...	PUNCT
ejpam-4599	115	6	ηn+1	ηn+1	X
ejpam-4599	116	1	=	=	X
ejpam-4599	116	2	t	t	X
ejpam-4599	117	1	[	[	X
ejpam-4599	117	2	η0	η0	NOUN
ejpam-4599	117	3	+	+	NUM
ejpam-4599	117	4	η1	η1	NOUN
ejpam-4599	117	5	+	+	CCONJ
ejpam-4599	117	6	η2	η2	ADJ
ejpam-4599	117	7	+	+	X
ejpam-4599	117	8	·	·	PUNCT
ejpam-4599	117	9	·	·	PUNCT
ejpam-4599	117	10	·	·	PUNCT
ejpam-4599	118	1	+	+	PUNCT
ejpam-4599	118	2	ηn	ηn	ADJ
ejpam-4599	118	3	]	]	PUNCT
ejpam-4599	118	4	,	,	PUNCT
ejpam-4599	118	5	(	(	PUNCT
ejpam-4599	118	6	20	20	X
ejpam-4599	118	7	)	)	PUNCT
ejpam-4599	118	8	a.j	a.j	PROPN
ejpam-4599	118	9	.	.	PROPN
ejpam-4599	118	10	mohammed	mohammed	PROPN
ejpam-4599	118	11	,	,	PUNCT
ejpam-4599	118	12	s.t	s.t	PROPN
ejpam-4599	118	13	.	.	PROPN
ejpam-4599	118	14	al	al	PROPN
ejpam-4599	118	15	-	-	PUNCT
ejpam-4599	118	16	ramadhani	ramadhani	ADJ
ejpam-4599	118	17	,	,	PUNCT
ejpam-4599	118	18	r.m.h	r.m.h	NOUN
ejpam-4599	118	19	.	.	PUNCT
ejpam-4599	118	20	darghoth	darghoth	PROPN
ejpam-4599	118	21	/	/	PUNCT
ejpam-4599	118	22	eur	eur	PROPN
ejpam-4599	118	23	.	.	PUNCT
ejpam-4599	119	1	j.	j.	PROPN
ejpam-4599	119	2	pure	pure	PROPN
ejpam-4599	119	3	appl	appl	PROPN
ejpam-4599	119	4	.	.	PROPN
ejpam-4599	119	5	math	math	PROPN
ejpam-4599	119	6	,	,	PUNCT
ejpam-4599	119	7	15	15	NUM
ejpam-4599	119	8	(	(	PUNCT
ejpam-4599	119	9	4	4	NUM
ejpam-4599	119	10	)	)	PUNCT
ejpam-4599	119	11	(	(	PUNCT
ejpam-4599	119	12	2022	2022	NUM
ejpam-4599	119	13	)	)	PUNCT
ejpam-4599	119	14	,	,	PUNCT
ejpam-4599	119	15	1917	1917	NUM
ejpam-4599	119	16	-	-	SYM
ejpam-4599	119	17	1936	1936	NUM
ejpam-4599	119	18	1921	1921	NUM
ejpam-4599	119	19	then	then	ADV
ejpam-4599	119	20	,	,	PUNCT
ejpam-4599	119	21	eq	eq	NOUN
ejpam-4599	119	22	.	.	PUNCT
ejpam-4599	120	1	(	(	PUNCT
ejpam-4599	120	2	18	18	NUM
ejpam-4599	120	3	)	)	PUNCT
ejpam-4599	120	4	will	will	AUX
ejpam-4599	120	5	be	be	AUX
ejpam-4599	120	6	wn+1(x	wn+1(x	PROPN
ejpam-4599	120	7	,	,	PUNCT
ejpam-4599	120	8	t	t	PROPN
ejpam-4599	120	9	)	)	PUNCT
ejpam-4599	120	10	=	=	SYM
ejpam-4599	121	1	wn(x	wn(x	X
ejpam-4599	121	2	,	,	PUNCT
ejpam-4599	121	3	0	0	NUM
ejpam-4599	121	4	)	)	PUNCT
ejpam-4599	122	1	+	+	NUM
ejpam-4599	122	2	t	t	X
ejpam-4599	123	1	[	[	X
ejpam-4599	123	2	wn(x	wn(x	X
ejpam-4599	123	3	,	,	PUNCT
ejpam-4599	123	4	t	t	PROPN
ejpam-4599	123	5	)	)	PUNCT
ejpam-4599	123	6	]	]	PUNCT
ejpam-4599	123	7	,	,	PUNCT
ejpam-4599	123	8	(	(	PUNCT
ejpam-4599	123	9	21	21	NUM
ejpam-4599	123	10	)	)	PUNCT
ejpam-4599	123	11	where	where	SCONJ
ejpam-4599	123	12	,	,	PUNCT
ejpam-4599	123	13	w1	w1	NOUN
ejpam-4599	123	14	=	=	NOUN
ejpam-4599	123	15	w0	w0	PROPN
ejpam-4599	123	16	+	+	CCONJ
ejpam-4599	123	17	t	t	X
ejpam-4599	123	18	[	[	X
ejpam-4599	123	19	w0	w0	X
ejpam-4599	123	20	]	]	PUNCT
ejpam-4599	123	21	=	=	SYM
ejpam-4599	123	22	η0	η0	NOUN
ejpam-4599	123	23	+	+	NUM
ejpam-4599	123	24	η1	η1	NOUN
ejpam-4599	123	25	,	,	PUNCT
ejpam-4599	123	26	w2	w2	NOUN
ejpam-4599	123	27	=	=	NOUN
ejpam-4599	123	28	w1	w1	PROPN
ejpam-4599	123	29	+	+	CCONJ
ejpam-4599	123	30	t	t	X
ejpam-4599	124	1	[	[	X
ejpam-4599	124	2	w1	w1	X
ejpam-4599	124	3	]	]	PUNCT
ejpam-4599	124	4	=	=	SYM
ejpam-4599	125	1	η0	η0	NOUN
ejpam-4599	125	2	+	+	NUM
ejpam-4599	125	3	η1	η1	NOUN
ejpam-4599	125	4	+	+	X
ejpam-4599	125	5	t	t	X
ejpam-4599	126	1	[	[	X
ejpam-4599	126	2	η0	η0	NOUN
ejpam-4599	126	3	+	+	NUM
ejpam-4599	126	4	η1	η1	NOUN
ejpam-4599	126	5	]	]	PUNCT
ejpam-4599	126	6	,	,	PUNCT
ejpam-4599	126	7	=	=	SYM
ejpam-4599	126	8	η0	η0	NOUN
ejpam-4599	126	9	+	+	CCONJ
ejpam-4599	126	10	η1	η1	NOUN
ejpam-4599	126	11	+	+	X
ejpam-4599	126	12	η2	η2	PROPN
ejpam-4599	126	13	,	,	PUNCT
ejpam-4599	126	14	...	...	PUNCT
ejpam-4599	126	15	wn	wn	X
ejpam-4599	127	1	=	=	NOUN
ejpam-4599	127	2	η0	η0	NOUN
ejpam-4599	127	3	+	+	CCONJ
ejpam-4599	127	4	η1	η1	NOUN
ejpam-4599	127	5	+	+	CCONJ
ejpam-4599	127	6	η2	η2	ADJ
ejpam-4599	127	7	+	+	X
ejpam-4599	127	8	·	·	PUNCT
ejpam-4599	127	9	·	·	PUNCT
ejpam-4599	127	10	·	·	PUNCT
ejpam-4599	128	1	+	+	PUNCT
ejpam-4599	128	2	ηn	ηn	ADJ
ejpam-4599	128	3	.	.	PUNCT
ejpam-4599	129	1	(	(	PUNCT
ejpam-4599	129	2	22	22	NUM
ejpam-4599	129	3	)	)	PUNCT
ejpam-4599	129	4	therefore	therefore	ADV
ejpam-4599	129	5	,	,	PUNCT
ejpam-4599	129	6	we	we	PRON
ejpam-4599	129	7	have	have	AUX
ejpam-4599	129	8	obtained	obtain	VERB
ejpam-4599	129	9	an	an	DET
ejpam-4599	129	10	approximate	approximate	ADJ
ejpam-4599	129	11	solution	solution	NOUN
ejpam-4599	129	12	wn+1(x	wn+1(x	PROPN
ejpam-4599	129	13	,	,	PUNCT
ejpam-4599	129	14	t	t	PROPN
ejpam-4599	129	15	)	)	PUNCT
ejpam-4599	129	16	as	as	ADP
ejpam-4599	129	17	a	a	DET
ejpam-4599	129	18	series	series	NOUN
ejpam-4599	129	19	solution	solution	NOUN
ejpam-4599	129	20	.	.	PUNCT
ejpam-4599	130	1	hence	hence	ADV
ejpam-4599	130	2	,	,	PUNCT
ejpam-4599	130	3	w(x	w(x	PROPN
ejpam-4599	130	4	,	,	PUNCT
ejpam-4599	130	5	t	t	PROPN
ejpam-4599	130	6	)	)	PUNCT
ejpam-4599	130	7	is	be	AUX
ejpam-4599	130	8	the	the	DET
ejpam-4599	130	9	sum	sum	NOUN
ejpam-4599	130	10	of	of	ADP
ejpam-4599	130	11	the	the	DET
ejpam-4599	130	12	iterative	iterative	NOUN
ejpam-4599	130	13	solutions	solution	NOUN
ejpam-4599	130	14	,	,	PUNCT
ejpam-4599	130	15	i.e	i.e	X
ejpam-4599	130	16	:	:	PUNCT
ejpam-4599	130	17	w(x	w(x	PROPN
ejpam-4599	130	18	,	,	PUNCT
ejpam-4599	130	19	t	t	PROPN
ejpam-4599	130	20	)	)	PUNCT
ejpam-4599	130	21	=	=	PROPN
ejpam-4599	130	22	lim	lim	PROPN
ejpam-4599	130	23	n→∞	n→∞	X
ejpam-4599	130	24	wn(x	wn(x	PROPN
ejpam-4599	130	25	,	,	PUNCT
ejpam-4599	130	26	t	t	PROPN
ejpam-4599	130	27	)	)	PUNCT
ejpam-4599	130	28	=	=	PUNCT
ejpam-4599	131	1	∞∑	∞∑	ADJ
ejpam-4599	131	2	k=0	k=0	PUNCT
ejpam-4599	131	3	ηk	ηk	PROPN
ejpam-4599	131	4	.	.	PUNCT
ejpam-4599	132	1	(	(	PUNCT
ejpam-4599	132	2	23	23	NUM
ejpam-4599	132	3	)	)	PUNCT
ejpam-4599	132	4	3	3	NUM
ejpam-4599	132	5	.	.	PUNCT
ejpam-4599	132	6	numerical	numerical	ADJ
ejpam-4599	132	7	examples	example	NOUN
ejpam-4599	132	8	in	in	ADP
ejpam-4599	132	9	this	this	DET
ejpam-4599	132	10	section	section	NOUN
ejpam-4599	132	11	we	we	PRON
ejpam-4599	132	12	clearly	clearly	ADV
ejpam-4599	132	13	show	show	VERB
ejpam-4599	132	14	the	the	DET
ejpam-4599	132	15	effectiveness	effectiveness	NOUN
ejpam-4599	132	16	of	of	ADP
ejpam-4599	132	17	the	the	DET
ejpam-4599	132	18	k	k	PROPN
ejpam-4599	132	19	-	-	PROPN
ejpam-4599	132	20	mi	mi	PROPN
ejpam-4599	132	21	method	method	NOUN
ejpam-4599	132	22	to	to	PART
ejpam-4599	132	23	solve	solve	VERB
ejpam-4599	132	24	the	the	DET
ejpam-4599	132	25	certain	certain	ADJ
ejpam-4599	132	26	pdes	pde	NOUN
ejpam-4599	132	27	mkdv	mkdv	VERB
ejpam-4599	132	28	eq	eq	ADP
ejpam-4599	132	29	.	.	PUNCT
ejpam-4599	133	1	and	and	CCONJ
ejpam-4599	133	2	fkdv	fkdv	VERB
ejpam-4599	133	3	eq	eq	ADP
ejpam-4599	133	4	.	.	PUNCT
ejpam-4599	134	1	the	the	DET
ejpam-4599	134	2	technique	technique	NOUN
ejpam-4599	134	3	of	of	ADP
ejpam-4599	134	4	semi	semi	ADJ
ejpam-4599	134	5	-	-	ADJ
ejpam-4599	134	6	analytical	analytical	ADJ
ejpam-4599	134	7	(	(	PUNCT
ejpam-4599	134	8	numerical	numerical	ADJ
ejpam-4599	134	9	with	with	ADP
ejpam-4599	134	10	analytic	analytic	ADJ
ejpam-4599	134	11	)	)	PUNCT
ejpam-4599	134	12	k	k	PROPN
ejpam-4599	134	13	-	-	PUNCT
ejpam-4599	134	14	mi	mi	PROPN
ejpam-4599	134	15	method	method	NOUN
ejpam-4599	134	16	is	be	AUX
ejpam-4599	134	17	used	use	VERB
ejpam-4599	134	18	on	on	ADP
ejpam-4599	134	19	the	the	DET
ejpam-4599	134	20	homogeneous	homogeneous	ADJ
ejpam-4599	134	21	and	and	CCONJ
ejpam-4599	134	22	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	134	23	mkdv	mkdv	NOUN
ejpam-4599	134	24	eq	eq	ADP
ejpam-4599	134	25	.	.	PUNCT
ejpam-4599	134	26	and	and	CCONJ
ejpam-4599	134	27	fkdv	fkdv	VERB
ejpam-4599	134	28	eq	eq	ADP
ejpam-4599	134	29	.	.	PUNCT
ejpam-4599	135	1	this	this	DET
ejpam-4599	135	2	method	method	NOUN
ejpam-4599	135	3	started	start	VERB
ejpam-4599	135	4	by	by	ADP
ejpam-4599	135	5	the	the	DET
ejpam-4599	135	6	initial	initial	ADJ
ejpam-4599	135	7	condition	condition	NOUN
ejpam-4599	135	8	w(x	w(x	PROPN
ejpam-4599	135	9	,	,	PUNCT
ejpam-4599	135	10	0	0	NUM
ejpam-4599	135	11	)	)	PUNCT
ejpam-4599	135	12	as	as	ADP
ejpam-4599	135	13	a	a	DET
ejpam-4599	135	14	zero	zero	NUM
ejpam-4599	135	15	iteration	iteration	NOUN
ejpam-4599	135	16	solution	solution	NOUN
ejpam-4599	135	17	w0(x	w0(x	PROPN
ejpam-4599	135	18	,	,	PUNCT
ejpam-4599	135	19	t	t	PROPN
ejpam-4599	135	20	)	)	PUNCT
ejpam-4599	135	21	,	,	PUNCT
ejpam-4599	135	22	then	then	ADV
ejpam-4599	135	23	,	,	PUNCT
ejpam-4599	135	24	we	we	PRON
ejpam-4599	135	25	applied	apply	VERB
ejpam-4599	135	26	the	the	DET
ejpam-4599	135	27	kt	kt	PROPN
ejpam-4599	135	28	and	and	CCONJ
ejpam-4599	135	29	mi	mi	PROPN
ejpam-4599	135	30	method	method	NOUN
ejpam-4599	135	31	on	on	ADP
ejpam-4599	135	32	the	the	DET
ejpam-4599	135	33	pde	pde	NOUN
ejpam-4599	135	34	.	.	PUNCT
ejpam-4599	136	1	example	example	NOUN
ejpam-4599	137	1	1	1	NUM
ejpam-4599	137	2	.	.	X
ejpam-4599	137	3	consider	consider	VERB
ejpam-4599	137	4	the	the	DET
ejpam-4599	137	5	third	third	ADJ
ejpam-4599	137	6	order	order	NOUN
ejpam-4599	137	7	homogeneous	homogeneous	ADJ
ejpam-4599	137	8	mkdv	mkdv	NOUN
ejpam-4599	137	9	eq	eq	ADP
ejpam-4599	137	10	.	.	PUNCT
ejpam-4599	138	1	[	[	X
ejpam-4599	138	2	26	26	NUM
ejpam-4599	138	3	]	]	PUNCT
ejpam-4599	138	4	wt(x	wt(x	NUM
ejpam-4599	138	5	,	,	PUNCT
ejpam-4599	138	6	t	t	PROPN
ejpam-4599	138	7	)	)	PUNCT
ejpam-4599	138	8	+	+	CCONJ
ejpam-4599	138	9	6	6	NUM
ejpam-4599	138	10	w2	w2	NOUN
ejpam-4599	138	11	wx(x	wx(x	AUX
ejpam-4599	138	12	,	,	PUNCT
ejpam-4599	138	13	t	t	PROPN
ejpam-4599	138	14	)	)	PUNCT
ejpam-4599	139	1	+	+	CCONJ
ejpam-4599	139	2	w3x(x	w3x(x	PROPN
ejpam-4599	139	3	,	,	PUNCT
ejpam-4599	139	4	t	t	PROPN
ejpam-4599	139	5	)	)	PUNCT
ejpam-4599	139	6	=	=	SYM
ejpam-4599	139	7	0	0	NUM
ejpam-4599	139	8	,	,	PUNCT
ejpam-4599	139	9	(	(	PUNCT
ejpam-4599	139	10	24	24	NUM
ejpam-4599	139	11	)	)	PUNCT
ejpam-4599	139	12	using	use	VERB
ejpam-4599	139	13	the	the	DET
ejpam-4599	139	14	ic	ic	PROPN
ejpam-4599	139	15	w(x	w(x	PROPN
ejpam-4599	139	16	,	,	PUNCT
ejpam-4599	139	17	0	0	NUM
ejpam-4599	139	18	)	)	PUNCT
ejpam-4599	139	19	=	=	SYM
ejpam-4599	139	20	2	2	NUM
ejpam-4599	139	21	λ	λ	NOUN
ejpam-4599	139	22	eλx	eλx	NOUN
ejpam-4599	139	23	1	1	NUM
ejpam-4599	139	24	+	+	CCONJ
ejpam-4599	139	25	e2λx	e2λx	PUNCT
ejpam-4599	139	26	.	.	PUNCT
ejpam-4599	140	1	compering	compere	VERB
ejpam-4599	140	2	eq	eq	ADP
ejpam-4599	140	3	.	.	PUNCT
ejpam-4599	141	1	(	(	PUNCT
ejpam-4599	141	2	24	24	NUM
ejpam-4599	141	3	)	)	PUNCT
ejpam-4599	141	4	to	to	ADP
ejpam-4599	141	5	eq	eq	NOUN
ejpam-4599	141	6	.	.	PUNCT
ejpam-4599	142	1	(	(	PUNCT
ejpam-4599	142	2	7	7	NUM
ejpam-4599	142	3	)	)	PUNCT
ejpam-4599	142	4	,	,	PUNCT
ejpam-4599	142	5	it	it	PRON
ejpam-4599	142	6	is	be	AUX
ejpam-4599	142	7	clear	clear	ADJ
ejpam-4599	143	1	that	that	SCONJ
ejpam-4599	143	2	ẇ	ẇ	PROPN
ejpam-4599	143	3	=	=	SYM
ejpam-4599	143	4	∂w(x	∂w(x	PROPN
ejpam-4599	143	5	,	,	PUNCT
ejpam-4599	143	6	t	t	PROPN
ejpam-4599	143	7	)	)	PUNCT
ejpam-4599	143	8	∂t	∂t	PROPN
ejpam-4599	143	9	,	,	PUNCT
ejpam-4599	143	10	m	m	VERB
ejpam-4599	143	11	[	[	X
ejpam-4599	143	12	w(x	w(x	NOUN
ejpam-4599	143	13	,	,	PUNCT
ejpam-4599	143	14	t	t	PROPN
ejpam-4599	143	15	)	)	PUNCT
ejpam-4599	143	16	]	]	PUNCT
ejpam-4599	144	1	=	=	SYM
ejpam-4599	144	2	6	6	NUM
ejpam-4599	144	3	w2	w2	NOUN
ejpam-4599	144	4	wx(x	wx(x	AUX
ejpam-4599	144	5	,	,	PUNCT
ejpam-4599	144	6	t	t	PROPN
ejpam-4599	144	7	)	)	PUNCT
ejpam-4599	145	1	+	+	CCONJ
ejpam-4599	145	2	w3x(x	w3x(x	PROPN
ejpam-4599	145	3	,	,	PUNCT
ejpam-4599	145	4	t	t	PROPN
ejpam-4599	145	5	)	)	PUNCT
ejpam-4599	145	6	,	,	PUNCT
ejpam-4599	145	7	and	and	CCONJ
ejpam-4599	145	8	g(x	g(x	NOUN
ejpam-4599	145	9	,	,	PUNCT
ejpam-4599	145	10	t	t	PROPN
ejpam-4599	145	11	)	)	PUNCT
ejpam-4599	145	12	=	=	SYM
ejpam-4599	145	13	0	0	NUM
ejpam-4599	145	14	,	,	PUNCT
ejpam-4599	145	15	(	(	PUNCT
ejpam-4599	145	16	25	25	NUM
ejpam-4599	145	17	)	)	PUNCT
ejpam-4599	145	18	using	use	VERB
ejpam-4599	145	19	the	the	DET
ejpam-4599	145	20	k	k	PROPN
ejpam-4599	145	21	-	-	PROPN
ejpam-4599	145	22	mi	mi	PROPN
ejpam-4599	145	23	method	method	NOUN
ejpam-4599	145	24	and	and	CCONJ
ejpam-4599	145	25	following	follow	VERB
ejpam-4599	145	26	the	the	DET
ejpam-4599	145	27	procedure	procedure	NOUN
ejpam-4599	145	28	in	in	ADP
ejpam-4599	145	29	section	section	NOUN
ejpam-4599	145	30	(	(	PUNCT
ejpam-4599	145	31	2.2	2.2	NUM
ejpam-4599	145	32	)	)	PUNCT
ejpam-4599	145	33	,	,	PUNCT
ejpam-4599	145	34	we	we	PRON
ejpam-4599	145	35	obtain	obtain	VERB
ejpam-4599	145	36	m	m	VERB
ejpam-4599	145	37	[	[	X
ejpam-4599	145	38	wn(x	wn(x	X
ejpam-4599	145	39	,	,	PUNCT
ejpam-4599	145	40	t	t	PROPN
ejpam-4599	145	41	)	)	PUNCT
ejpam-4599	145	42	]	]	PUNCT
ejpam-4599	146	1	=	=	SYM
ejpam-4599	146	2	6	6	NUM
ejpam-4599	146	3	w2	w2	NOUN
ejpam-4599	146	4	n	n	PROPN
ejpam-4599	146	5	w{n	w{n	NOUN
ejpam-4599	146	6	,	,	PUNCT
ejpam-4599	146	7	x}(x	x}(x	PROPN
ejpam-4599	146	8	,	,	PUNCT
ejpam-4599	146	9	t	t	PROPN
ejpam-4599	146	10	)	)	PUNCT
ejpam-4599	146	11	+	+	NUM
ejpam-4599	146	12	w{n,3x}(x	w{n,3x}(x	NOUN
ejpam-4599	146	13	,	,	PUNCT
ejpam-4599	146	14	t	t	PROPN
ejpam-4599	146	15	)	)	PUNCT
ejpam-4599	146	16	=	=	PUNCT
ejpam-4599	146	17	qn(x	qn(x	X
ejpam-4599	146	18	,	,	PUNCT
ejpam-4599	146	19	t	t	PROPN
ejpam-4599	146	20	)	)	PUNCT
ejpam-4599	146	21	+	+	NOUN
ejpam-4599	146	22	o(tn+1	o(tn+1	ADJ
ejpam-4599	146	23	)	)	PUNCT
ejpam-4599	146	24	,	,	PUNCT
ejpam-4599	146	25	(	(	PUNCT
ejpam-4599	146	26	26	26	NUM
ejpam-4599	146	27	)	)	PUNCT
ejpam-4599	146	28	the	the	DET
ejpam-4599	146	29	first	first	ADJ
ejpam-4599	146	30	iteration	iteration	NOUN
ejpam-4599	146	31	w1(x	w1(x	PROPN
ejpam-4599	146	32	,	,	PUNCT
ejpam-4599	146	33	t	t	PROPN
ejpam-4599	146	34	)	)	PUNCT
ejpam-4599	146	35	of	of	ADP
ejpam-4599	146	36	the	the	DET
ejpam-4599	146	37	homogeneous	homogeneous	ADJ
ejpam-4599	146	38	mkdv	mkdv	NOUN
ejpam-4599	146	39	eq	eq	ADP
ejpam-4599	146	40	.	.	PROPN
ejpam-4599	146	41	can	can	AUX
ejpam-4599	146	42	be	be	AUX
ejpam-4599	146	43	found	find	VERB
ejpam-4599	146	44	from	from	ADP
ejpam-4599	146	45	substituting	substitute	VERB
ejpam-4599	146	46	w0(x	w0(x	PROPN
ejpam-4599	146	47	,	,	PUNCT
ejpam-4599	146	48	t	t	PROPN
ejpam-4599	146	49	)	)	PUNCT
ejpam-4599	146	50	in	in	ADP
ejpam-4599	146	51	eq	eq	ADP
ejpam-4599	146	52	.	.	PUNCT
ejpam-4599	147	1	(	(	PUNCT
ejpam-4599	147	2	22	22	NUM
ejpam-4599	147	3	)	)	PUNCT
ejpam-4599	147	4	.	.	PUNCT
ejpam-4599	148	1	when	when	SCONJ
ejpam-4599	148	2	n	n	X
ejpam-4599	148	3	=	=	SYM
ejpam-4599	148	4	0	0	NUM
ejpam-4599	148	5	,	,	PUNCT
ejpam-4599	148	6	η0	η0	NOUN
ejpam-4599	148	7	=	=	SYM
ejpam-4599	148	8	w0	w0	PROPN
ejpam-4599	148	9	=	=	SYM
ejpam-4599	148	10	2	2	NUM
ejpam-4599	148	11	λ	λ	NOUN
ejpam-4599	148	12	eλx	eλx	NOUN
ejpam-4599	148	13	1	1	NUM
ejpam-4599	148	14	+	+	CCONJ
ejpam-4599	148	15	e2λx	e2λx	X
ejpam-4599	148	16	,	,	PUNCT
ejpam-4599	148	17	(	(	PUNCT
ejpam-4599	148	18	27	27	NUM
ejpam-4599	148	19	)	)	PUNCT
ejpam-4599	148	20	a.j	a.j	PROPN
ejpam-4599	148	21	.	.	PROPN
ejpam-4599	148	22	mohammed	mohammed	PROPN
ejpam-4599	148	23	,	,	PUNCT
ejpam-4599	148	24	s.t	s.t	PROPN
ejpam-4599	148	25	.	.	PROPN
ejpam-4599	148	26	al	al	PROPN
ejpam-4599	148	27	-	-	PUNCT
ejpam-4599	148	28	ramadhani	ramadhani	ADJ
ejpam-4599	148	29	,	,	PUNCT
ejpam-4599	148	30	r.m.h	r.m.h	NOUN
ejpam-4599	148	31	.	.	PUNCT
ejpam-4599	148	32	darghoth	darghoth	PROPN
ejpam-4599	148	33	/	/	PUNCT
ejpam-4599	148	34	eur	eur	PROPN
ejpam-4599	148	35	.	.	PUNCT
ejpam-4599	149	1	j.	j.	PROPN
ejpam-4599	149	2	pure	pure	PROPN
ejpam-4599	149	3	appl	appl	PROPN
ejpam-4599	149	4	.	.	PROPN
ejpam-4599	149	5	math	math	PROPN
ejpam-4599	149	6	,	,	PUNCT
ejpam-4599	149	7	15	15	NUM
ejpam-4599	149	8	(	(	PUNCT
ejpam-4599	149	9	4	4	NUM
ejpam-4599	149	10	)	)	PUNCT
ejpam-4599	149	11	(	(	PUNCT
ejpam-4599	149	12	2022	2022	NUM
ejpam-4599	149	13	)	)	PUNCT
ejpam-4599	149	14	,	,	PUNCT
ejpam-4599	149	15	1917	1917	NUM
ejpam-4599	149	16	-	-	SYM
ejpam-4599	149	17	1936	1936	NUM
ejpam-4599	149	18	1922	1922	NUM
ejpam-4599	149	19	to	to	PART
ejpam-4599	149	20	find	find	VERB
ejpam-4599	149	21	q0	q0	PROPN
ejpam-4599	149	22	,	,	PUNCT
ejpam-4599	149	23	substitute	substitute	NOUN
ejpam-4599	149	24	eq	eq	NOUN
ejpam-4599	149	25	.	.	PUNCT
ejpam-4599	150	1	(	(	PUNCT
ejpam-4599	150	2	27	27	NUM
ejpam-4599	150	3	)	)	PUNCT
ejpam-4599	150	4	in	in	ADP
ejpam-4599	150	5	eq	eq	ADP
ejpam-4599	150	6	.	.	PUNCT
ejpam-4599	151	1	(	(	PUNCT
ejpam-4599	151	2	26	26	NUM
ejpam-4599	151	3	)	)	PUNCT
ejpam-4599	151	4	yields	yield	NOUN
ejpam-4599	151	5	q0	q0	PROPN
ejpam-4599	152	1	=	=	NOUN
ejpam-4599	152	2	m	m	PROPN
ejpam-4599	152	3	[	[	X
ejpam-4599	152	4	w0(x	w0(x	PROPN
ejpam-4599	152	5	,	,	PUNCT
ejpam-4599	152	6	t	t	PROPN
ejpam-4599	152	7	)	)	PUNCT
ejpam-4599	152	8	]	]	PUNCT
ejpam-4599	152	9	=	=	SYM
ejpam-4599	152	10	6	6	NUM
ejpam-4599	152	11	w2	w2	NOUN
ejpam-4599	152	12	0	0	NUM
ejpam-4599	152	13	w{0,x}(x	w{0,x}(x	PROPN
ejpam-4599	152	14	,	,	PUNCT
ejpam-4599	152	15	t	t	PROPN
ejpam-4599	152	16	)	)	PUNCT
ejpam-4599	153	1	+	+	CCONJ
ejpam-4599	153	2	w{0,3x}(x	w{0,3x}(x	PROPN
ejpam-4599	153	3	,	,	PUNCT
ejpam-4599	153	4	t	t	PROPN
ejpam-4599	153	5	)	)	PUNCT
ejpam-4599	153	6	+	+	NOUN
ejpam-4599	153	7	o(t1	o(t1	NUM
ejpam-4599	153	8	)	)	PUNCT
ejpam-4599	153	9	,	,	PUNCT
ejpam-4599	154	1	=	=	NOUN
ejpam-4599	154	2	−	−	PROPN
ejpam-4599	154	3	2	2	NUM
ejpam-4599	154	4	λ4eλx	λ4eλx	X
ejpam-4599	154	5	(	(	PUNCT
ejpam-4599	154	6	−1	−1	NOUN
ejpam-4599	154	7	+	+	CCONJ
ejpam-4599	154	8	e2λx	e2λx	NUM
ejpam-4599	154	9	)	)	PUNCT
ejpam-4599	154	10	(	(	PUNCT
ejpam-4599	154	11	1	1	NUM
ejpam-4599	154	12	+	+	CCONJ
ejpam-4599	154	13	e2λx	e2λx	NUM
ejpam-4599	154	14	)	)	PUNCT
ejpam-4599	154	15	2	2	NUM
ejpam-4599	154	16	.	.	PUNCT
ejpam-4599	155	1	(	(	PUNCT
ejpam-4599	155	2	28	28	NUM
ejpam-4599	155	3	)	)	PUNCT
ejpam-4599	155	4	here	here	ADV
ejpam-4599	155	5	,	,	PUNCT
ejpam-4599	155	6	q0	q0	VERB
ejpam-4599	155	7	in	in	ADP
ejpam-4599	155	8	(	(	PUNCT
ejpam-4599	155	9	28	28	NUM
ejpam-4599	155	10	)	)	PUNCT
ejpam-4599	155	11	is	be	AUX
ejpam-4599	155	12	time	time	NOUN
ejpam-4599	155	13	independent	independent	ADJ
ejpam-4599	155	14	,	,	PUNCT
ejpam-4599	155	15	so	so	ADV
ejpam-4599	155	16	,	,	PUNCT
ejpam-4599	155	17	substitute	substitute	VERB
ejpam-4599	155	18	the	the	DET
ejpam-4599	155	19	value	value	NOUN
ejpam-4599	155	20	of	of	ADP
ejpam-4599	155	21	q0	q0	PROPN
ejpam-4599	155	22	in	in	ADP
ejpam-4599	155	23	eq	eq	ADP
ejpam-4599	155	24	.	.	PUNCT
ejpam-4599	156	1	(	(	PUNCT
ejpam-4599	156	2	19	19	NUM
ejpam-4599	156	3	)	)	PUNCT
ejpam-4599	156	4	to	to	PART
ejpam-4599	156	5	find	find	VERB
ejpam-4599	156	6	η1	η1	NOUN
ejpam-4599	156	7	η1	η1	NOUN
ejpam-4599	156	8	=	=	SYM
ejpam-4599	156	9	t	t	X
ejpam-4599	156	10	[	[	X
ejpam-4599	156	11	w0	w0	X
ejpam-4599	156	12	]	]	PUNCT
ejpam-4599	156	13	=	=	PUNCT
ejpam-4599	156	14	−k−1[υk[(q0	−k−1[υk[(q0	NOUN
ejpam-4599	156	15	−q−1	−q−1	NUM
ejpam-4599	156	16	)	)	PUNCT
ejpam-4599	157	1	]	]	PUNCT
ejpam-4599	157	2	]	]	PUNCT
ejpam-4599	157	3	,	,	PUNCT
ejpam-4599	157	4	where	where	SCONJ
ejpam-4599	157	5	q−1	q−1	PROPN
ejpam-4599	157	6	=	=	NOUN
ejpam-4599	157	7	0	0	NUM
ejpam-4599	157	8	,	,	PUNCT
ejpam-4599	157	9	=	=	NOUN
ejpam-4599	157	10	−k−1[υk[−2	−k−1[υk[−2	X
ejpam-4599	157	11	λ4eλx	λ4eλx	X
ejpam-4599	157	12	(	(	PUNCT
ejpam-4599	157	13	−1	−1	NOUN
ejpam-4599	157	14	+	+	CCONJ
ejpam-4599	157	15	e2λx	e2λx	NUM
ejpam-4599	157	16	)	)	PUNCT
ejpam-4599	157	17	(	(	PUNCT
ejpam-4599	157	18	1	1	NUM
ejpam-4599	157	19	+	+	CCONJ
ejpam-4599	157	20	e2λx	e2λx	NOUN
ejpam-4599	157	21	)	)	PUNCT
ejpam-4599	157	22	2	2	NUM
ejpam-4599	157	23	]	]	PUNCT
ejpam-4599	157	24	]	]	X
ejpam-4599	157	25	,	,	PUNCT
ejpam-4599	157	26	since	since	SCONJ
ejpam-4599	157	27	−2	−2	PROPN
ejpam-4599	157	28	λ4eλx(−1+e2λx	λ4eλx(−1+e2λx	PROPN
ejpam-4599	157	29	)	)	PUNCT
ejpam-4599	157	30	(	(	PUNCT
ejpam-4599	157	31	1+e2λx	1+e2λx	NUM
ejpam-4599	157	32	)	)	PUNCT
ejpam-4599	157	33	2	2	NUM
ejpam-4599	157	34	is	be	AUX
ejpam-4599	157	35	time	time	NOUN
ejpam-4599	157	36	independent	independent	ADJ
ejpam-4599	157	37	,	,	PUNCT
ejpam-4599	157	38	which	which	PRON
ejpam-4599	157	39	means	mean	VERB
ejpam-4599	157	40	it	it	PRON
ejpam-4599	157	41	is	be	AUX
ejpam-4599	157	42	constant	constant	ADJ
ejpam-4599	157	43	with	with	ADP
ejpam-4599	157	44	respect	respect	NOUN
ejpam-4599	157	45	to	to	ADP
ejpam-4599	157	46	t	t	PROPN
ejpam-4599	157	47	,	,	PUNCT
ejpam-4599	157	48	then	then	ADV
ejpam-4599	157	49	k	k	PROPN
ejpam-4599	157	50	transform	transform	NOUN
ejpam-4599	157	51	of	of	ADP
ejpam-4599	157	52	a	a	DET
ejpam-4599	157	53	constant	constant	ADJ
ejpam-4599	157	54	is	be	AUX
ejpam-4599	157	55	v	v	NOUN
ejpam-4599	157	56	(	(	PUNCT
ejpam-4599	157	57	theorem	theorem	NOUN
ejpam-4599	157	58	2	2	NUM
ejpam-4599	157	59	)	)	PUNCT
ejpam-4599	157	60	=	=	NOUN
ejpam-4599	157	61	k−1[υ(2	k−1[υ(2	NOUN
ejpam-4599	157	62	λ4eλx	λ4eλx	X
ejpam-4599	157	63	(	(	PUNCT
ejpam-4599	157	64	−1	−1	NOUN
ejpam-4599	157	65	+	+	CCONJ
ejpam-4599	157	66	e2λx	e2λx	NUM
ejpam-4599	157	67	)	)	PUNCT
ejpam-4599	158	1	(	(	PUNCT
ejpam-4599	158	2	1	1	NUM
ejpam-4599	158	3	+	+	CCONJ
ejpam-4599	158	4	e2λx	e2λx	NUM
ejpam-4599	158	5	)	)	PUNCT
ejpam-4599	158	6	2	2	NUM
ejpam-4599	158	7	υ	υ	NOUN
ejpam-4599	158	8	)	)	PUNCT
ejpam-4599	158	9	]	]	PUNCT
ejpam-4599	158	10	,	,	PUNCT
ejpam-4599	158	11	theorem	theorem	VERB
ejpam-4599	158	12	2	2	NUM
ejpam-4599	158	13	,	,	PUNCT
ejpam-4599	158	14	=	=	PRON
ejpam-4599	158	15	k−1[υ2(2	k−1[υ2(2	X
ejpam-4599	158	16	λ4eλx	λ4eλx	X
ejpam-4599	158	17	(	(	PUNCT
ejpam-4599	158	18	−1	−1	NOUN
ejpam-4599	158	19	+	+	CCONJ
ejpam-4599	158	20	e2λx	e2λx	NUM
ejpam-4599	158	21	)	)	PUNCT
ejpam-4599	159	1	(	(	PUNCT
ejpam-4599	159	2	1	1	NUM
ejpam-4599	159	3	+	+	CCONJ
ejpam-4599	159	4	e2λx	e2λx	NUM
ejpam-4599	159	5	)	)	PUNCT
ejpam-4599	159	6	2	2	NUM
ejpam-4599	159	7	)	)	PUNCT
ejpam-4599	159	8	]	]	PUNCT
ejpam-4599	159	9	,	,	PUNCT
ejpam-4599	159	10	theorem	theorem	VERB
ejpam-4599	159	11	3	3	NUM
ejpam-4599	159	12	,	,	PUNCT
ejpam-4599	159	13	and	and	CCONJ
ejpam-4599	159	14	k−1[v2	k−1[v2	NOUN
ejpam-4599	159	15	]	]	X
ejpam-4599	159	16	is	be	AUX
ejpam-4599	159	17	t	t	PROPN
ejpam-4599	159	18	(	(	PUNCT
ejpam-4599	159	19	theorem	theorem	NOUN
ejpam-4599	159	20	3	3	NUM
ejpam-4599	159	21	)	)	PUNCT
ejpam-4599	159	22	,	,	PUNCT
ejpam-4599	159	23	so	so	SCONJ
ejpam-4599	159	24	we	we	PRON
ejpam-4599	159	25	have	have	VERB
ejpam-4599	159	26	η1	η1	NOUN
ejpam-4599	159	27	=	=	SYM
ejpam-4599	159	28	−2	−2	NOUN
ejpam-4599	159	29	λ4eλx	λ4eλx	X
ejpam-4599	159	30	(	(	PUNCT
ejpam-4599	159	31	1−	1−	NUM
ejpam-4599	159	32	e2λx	e2λx	NUM
ejpam-4599	159	33	)	)	PUNCT
ejpam-4599	160	1	(	(	PUNCT
ejpam-4599	160	2	1	1	NUM
ejpam-4599	160	3	+	+	CCONJ
ejpam-4599	160	4	e2λx	e2λx	NUM
ejpam-4599	160	5	)	)	PUNCT
ejpam-4599	160	6	2	2	NUM
ejpam-4599	160	7	t.	t.	NOUN
ejpam-4599	160	8	(	(	PUNCT
ejpam-4599	160	9	29	29	NUM
ejpam-4599	160	10	)	)	PUNCT
ejpam-4599	160	11	then	then	ADV
ejpam-4599	160	12	,	,	PUNCT
ejpam-4599	160	13	the	the	DET
ejpam-4599	160	14	first	first	ADJ
ejpam-4599	160	15	iteration	iteration	NOUN
ejpam-4599	160	16	w1	w1	NOUN
ejpam-4599	160	17	is	be	AUX
ejpam-4599	160	18	w1(x	w1(x	PROPN
ejpam-4599	160	19	,	,	PUNCT
ejpam-4599	160	20	t	t	PROPN
ejpam-4599	160	21	)	)	PUNCT
ejpam-4599	161	1	=	=	NOUN
ejpam-4599	161	2	η0	η0	NOUN
ejpam-4599	161	3	+	+	CCONJ
ejpam-4599	161	4	η1	η1	NOUN
ejpam-4599	161	5	=	=	SYM
ejpam-4599	161	6	2	2	NUM
ejpam-4599	161	7	λ	λ	NOUN
ejpam-4599	161	8	eλx	eλx	NOUN
ejpam-4599	161	9	1	1	NUM
ejpam-4599	161	10	+	+	CCONJ
ejpam-4599	161	11	e2λx	e2λx	PUNCT
ejpam-4599	161	12	−	−	NUM
ejpam-4599	161	13	2	2	NUM
ejpam-4599	161	14	λ4eλx	λ4eλx	X
ejpam-4599	161	15	(	(	PUNCT
ejpam-4599	161	16	1−	1−	NUM
ejpam-4599	161	17	e2λx	e2λx	NUM
ejpam-4599	161	18	)	)	PUNCT
ejpam-4599	161	19	(	(	PUNCT
ejpam-4599	161	20	1	1	NUM
ejpam-4599	161	21	+	+	CCONJ
ejpam-4599	161	22	e2λx	e2λx	NUM
ejpam-4599	161	23	)	)	PUNCT
ejpam-4599	161	24	2	2	NUM
ejpam-4599	161	25	t.	t.	NOUN
ejpam-4599	161	26	(	(	PUNCT
ejpam-4599	161	27	30	30	NUM
ejpam-4599	161	28	)	)	PUNCT
ejpam-4599	161	29	when	when	SCONJ
ejpam-4599	161	30	n	n	X
ejpam-4599	161	31	=	=	SYM
ejpam-4599	161	32	1	1	NUM
ejpam-4599	161	33	,	,	PUNCT
ejpam-4599	161	34	we	we	PRON
ejpam-4599	161	35	have	have	AUX
ejpam-4599	161	36	substituted	substitute	VERB
ejpam-4599	161	37	w1	w1	NOUN
ejpam-4599	161	38	in	in	ADP
ejpam-4599	161	39	eq	eq	ADP
ejpam-4599	161	40	.	.	PUNCT
ejpam-4599	162	1	(	(	PUNCT
ejpam-4599	162	2	26	26	NUM
ejpam-4599	162	3	)	)	PUNCT
ejpam-4599	162	4	to	to	PART
ejpam-4599	162	5	find	find	VERB
ejpam-4599	162	6	q1	q1	NOUN
ejpam-4599	162	7	.	.	PUNCT
ejpam-4599	163	1	in	in	ADP
ejpam-4599	163	2	this	this	DET
ejpam-4599	163	3	case	case	NOUN
ejpam-4599	163	4	,	,	PUNCT
ejpam-4599	163	5	we	we	PRON
ejpam-4599	163	6	neglected	neglect	VERB
ejpam-4599	163	7	the	the	DET
ejpam-4599	163	8	coefficients	coefficient	NOUN
ejpam-4599	163	9	of	of	ADP
ejpam-4599	163	10	t	t	PROPN
ejpam-4599	163	11	with	with	ADP
ejpam-4599	163	12	indices	index	NOUN
ejpam-4599	163	13	grater	grater	NOUN
ejpam-4599	163	14	than	than	ADP
ejpam-4599	163	15	or	or	CCONJ
ejpam-4599	163	16	equal	equal	ADJ
ejpam-4599	163	17	2	2	NUM
ejpam-4599	163	18	(	(	PUNCT
ejpam-4599	163	19	o(t2	o(t2	NOUN
ejpam-4599	163	20	)	)	PUNCT
ejpam-4599	163	21	)	)	PUNCT
ejpam-4599	163	22	.	.	PUNCT
ejpam-4599	164	1	here	here	ADV
ejpam-4599	164	2	,	,	PUNCT
ejpam-4599	164	3	q1	q1	PROPN
ejpam-4599	164	4	is	be	AUX
ejpam-4599	164	5	t	t	PROPN
ejpam-4599	164	6	independent	independent	ADJ
ejpam-4599	164	7	,	,	PUNCT
ejpam-4599	164	8	q1	q1	PROPN
ejpam-4599	164	9	=	=	NOUN
ejpam-4599	164	10	6	6	NUM
ejpam-4599	164	11	w2	w2	NOUN
ejpam-4599	164	12	1	1	NUM
ejpam-4599	164	13	w{1,x}(x	w{1,x}(x	PROPN
ejpam-4599	164	14	,	,	PUNCT
ejpam-4599	164	15	t	t	PROPN
ejpam-4599	164	16	)	)	PUNCT
ejpam-4599	164	17	+	+	CCONJ
ejpam-4599	165	1	w{1,3x}(x	w{1,3x}(x	PROPN
ejpam-4599	165	2	,	,	PUNCT
ejpam-4599	165	3	t	t	NOUN
ejpam-4599	165	4	)	)	PUNCT
ejpam-4599	165	5	+	+	NOUN
ejpam-4599	165	6	o(t2	o(t2	NOUN
ejpam-4599	165	7	)	)	PUNCT
ejpam-4599	165	8	,	,	PUNCT
ejpam-4599	165	9	=	=	NOUN
ejpam-4599	165	10	−	−	PROPN
ejpam-4599	165	11	aλ3	aλ3	NOUN
ejpam-4599	165	12	(	(	PUNCT
ejpam-4599	165	13	−2	−2	NOUN
ejpam-4599	165	14	e10λx	e10λx	NUM
ejpam-4599	165	15	−	−	NUM
ejpam-4599	165	16	17	17	NUM
ejpam-4599	165	17	e8λx	e8λx	PROPN
ejpam-4599	165	18	−	−	PROPN
ejpam-4599	165	19	28	28	NUM
ejpam-4599	165	20	e6λx	e6λx	X
ejpam-4599	165	21	+	+	CCONJ
ejpam-4599	165	22	e12λx	e12λx	X
ejpam-4599	165	23	−	−	PROPN
ejpam-4599	165	24	17	17	NUM
ejpam-4599	165	25	e4λx	e4λx	NOUN
ejpam-4599	165	26	−	−	NUM
ejpam-4599	165	27	2	2	NUM
ejpam-4599	165	28	e2λx	e2λx	PUNCT
ejpam-4599	165	29	+	+	CCONJ
ejpam-4599	165	30	1	1	X
ejpam-4599	165	31	)	)	PUNCT
ejpam-4599	165	32	t	t	NOUN
ejpam-4599	165	33	b7	b7	PROPN
ejpam-4599	165	34	−	−	PROPN
ejpam-4599	165	35	a	a	DET
ejpam-4599	165	36	(	(	PUNCT
ejpam-4599	165	37	4	4	NUM
ejpam-4599	165	38	e10λx	e10λx	NOUN
ejpam-4599	165	39	+	+	NUM
ejpam-4599	165	40	5	5	NUM
ejpam-4599	165	41	e8λx	e8λx	PUNCT
ejpam-4599	165	42	+	+	CCONJ
ejpam-4599	165	43	e12λx	e12λx	NOUN
ejpam-4599	165	44	−	−	NOUN
ejpam-4599	165	45	5	5	NUM
ejpam-4599	165	46	e4λx	e4λx	NOUN
ejpam-4599	165	47	−	−	NUM
ejpam-4599	165	48	4	4	NUM
ejpam-4599	165	49	e2λx	e2λx	SYM
ejpam-4599	165	50	−	−	PROPN
ejpam-4599	165	51	1	1	X
ejpam-4599	165	52	)	)	PUNCT
ejpam-4599	165	53	b7	b7	PROPN
ejpam-4599	165	54	+	+	CCONJ
ejpam-4599	165	55	a	a	DET
ejpam-4599	165	56	(	(	PUNCT
ejpam-4599	165	57	e2λx	e2λx	NUM
ejpam-4599	165	58	−	−	PROPN
ejpam-4599	165	59	1	1	X
ejpam-4599	165	60	)	)	PUNCT
ejpam-4599	165	61	b2	b2	NOUN
ejpam-4599	165	62	,	,	PUNCT
ejpam-4599	165	63	(	(	PUNCT
ejpam-4599	165	64	31	31	NUM
ejpam-4599	165	65	)	)	PUNCT
ejpam-4599	165	66	where	where	SCONJ
ejpam-4599	165	67	,	,	PUNCT
ejpam-4599	165	68	a	a	DET
ejpam-4599	165	69	=	=	SYM
ejpam-4599	165	70	2λ4	2λ4	NUM
ejpam-4599	165	71	eλx	eλx	NOUN
ejpam-4599	165	72	and	and	CCONJ
ejpam-4599	165	73	b	b	NOUN
ejpam-4599	165	74	=	=	PUNCT
ejpam-4599	165	75	(	(	PUNCT
ejpam-4599	165	76	1	1	NUM
ejpam-4599	165	77	+	+	CCONJ
ejpam-4599	165	78	e2λx	e2λx	NUM
ejpam-4599	165	79	)	)	PUNCT
ejpam-4599	165	80	,	,	PUNCT
ejpam-4599	165	81	and	and	CCONJ
ejpam-4599	165	82	using	use	VERB
ejpam-4599	165	83	equation	equation	NOUN
ejpam-4599	165	84	(	(	PUNCT
ejpam-4599	165	85	19	19	NUM
ejpam-4599	165	86	)	)	PUNCT
ejpam-4599	165	87	,	,	PUNCT
ejpam-4599	165	88	we	we	PRON
ejpam-4599	165	89	have	have	VERB
ejpam-4599	165	90	η2	η2	VERB
ejpam-4599	165	91	=	=	NOUN
ejpam-4599	165	92	t	t	X
ejpam-4599	165	93	[	[	X
ejpam-4599	165	94	w1	w1	NOUN
ejpam-4599	165	95	]	]	PUNCT
ejpam-4599	165	96	=	=	PUNCT
ejpam-4599	165	97	−k−1[υk[(q1	−k−1[υk[(q1	PROPN
ejpam-4599	165	98	−q0	−q0	PROPN
ejpam-4599	165	99	)	)	PUNCT
ejpam-4599	165	100	]	]	PUNCT
ejpam-4599	165	101	]	]	X
ejpam-4599	165	102	,	,	PUNCT
ejpam-4599	165	103	a.j	a.j	PROPN
ejpam-4599	165	104	.	.	PROPN
ejpam-4599	165	105	mohammed	mohammed	PROPN
ejpam-4599	165	106	,	,	PUNCT
ejpam-4599	165	107	s.t	s.t	PROPN
ejpam-4599	165	108	.	.	PROPN
ejpam-4599	165	109	al	al	PROPN
ejpam-4599	165	110	-	-	PUNCT
ejpam-4599	165	111	ramadhani	ramadhani	ADJ
ejpam-4599	165	112	,	,	PUNCT
ejpam-4599	165	113	r.m.h	r.m.h	NOUN
ejpam-4599	165	114	.	.	PUNCT
ejpam-4599	165	115	darghoth	darghoth	PROPN
ejpam-4599	165	116	/	/	PUNCT
ejpam-4599	165	117	eur	eur	PROPN
ejpam-4599	165	118	.	.	PUNCT
ejpam-4599	166	1	j.	j.	PROPN
ejpam-4599	166	2	pure	pure	PROPN
ejpam-4599	166	3	appl	appl	PROPN
ejpam-4599	166	4	.	.	PROPN
ejpam-4599	166	5	math	math	PROPN
ejpam-4599	166	6	,	,	PUNCT
ejpam-4599	166	7	15	15	NUM
ejpam-4599	166	8	(	(	PUNCT
ejpam-4599	166	9	4	4	NUM
ejpam-4599	166	10	)	)	PUNCT
ejpam-4599	166	11	(	(	PUNCT
ejpam-4599	166	12	2022	2022	NUM
ejpam-4599	166	13	)	)	PUNCT
ejpam-4599	166	14	,	,	PUNCT
ejpam-4599	166	15	1917	1917	NUM
ejpam-4599	166	16	-	-	SYM
ejpam-4599	166	17	1936	1936	NUM
ejpam-4599	166	18	1923	1923	NUM
ejpam-4599	166	19	=	=	SYM
ejpam-4599	166	20	λ7	λ7	PROPN
ejpam-4599	166	21	(	(	PUNCT
ejpam-4599	166	22	e5λx	e5λx	X
ejpam-4599	166	23	−	−	PROPN
ejpam-4599	166	24	6	6	NUM
ejpam-4599	166	25	e3λx	e3λx	NUM
ejpam-4599	166	26	+	+	CCONJ
ejpam-4599	166	27	eλx	eλx	NOUN
ejpam-4599	166	28	)	)	PUNCT
ejpam-4599	166	29	b3	b3	PROPN
ejpam-4599	166	30	t2	t2	NOUN
ejpam-4599	166	31	.	.	PUNCT
ejpam-4599	167	1	(	(	PUNCT
ejpam-4599	167	2	32	32	NUM
ejpam-4599	167	3	)	)	PUNCT
ejpam-4599	168	1	so	so	ADV
ejpam-4599	168	2	,	,	PUNCT
ejpam-4599	168	3	the	the	DET
ejpam-4599	168	4	second	second	ADJ
ejpam-4599	168	5	iteration	iteration	NOUN
ejpam-4599	168	6	w2	w2	NOUN
ejpam-4599	168	7	is	be	AUX
ejpam-4599	168	8	w2(x	w2(x	PROPN
ejpam-4599	168	9	,	,	PUNCT
ejpam-4599	168	10	t	t	PROPN
ejpam-4599	168	11	)	)	PUNCT
ejpam-4599	169	1	=	=	NOUN
ejpam-4599	169	2	η0	η0	NOUN
ejpam-4599	169	3	+	+	CCONJ
ejpam-4599	169	4	η1	η1	NOUN
ejpam-4599	169	5	+	+	CCONJ
ejpam-4599	169	6	η2	η2	ADJ
ejpam-4599	169	7	=	=	SYM
ejpam-4599	169	8	2	2	NUM
ejpam-4599	169	9	λ	λ	NOUN
ejpam-4599	169	10	eλx	eλx	NOUN
ejpam-4599	169	11	b	b	NOUN
ejpam-4599	169	12	−	−	PROPN
ejpam-4599	169	13	a	a	PRON
ejpam-4599	169	14	(	(	PUNCT
ejpam-4599	169	15	1−	1−	NUM
ejpam-4599	169	16	e2λx	e2λx	PUNCT
ejpam-4599	169	17	)	)	PUNCT
ejpam-4599	169	18	b2	b2	NOUN
ejpam-4599	169	19	t+	t+	PUNCT
ejpam-4599	169	20	a	a	DET
ejpam-4599	169	21	λ3	λ3	PROPN
ejpam-4599	169	22	(	(	PUNCT
ejpam-4599	169	23	e4λx	e4λx	NOUN
ejpam-4599	169	24	−	−	NUM
ejpam-4599	169	25	6	6	NUM
ejpam-4599	169	26	e2λx	e2λx	PUNCT
ejpam-4599	169	27	+	+	CCONJ
ejpam-4599	169	28	1	1	X
ejpam-4599	169	29	)	)	PUNCT
ejpam-4599	169	30	b3	b3	NOUN
ejpam-4599	169	31	t2	t2	NOUN
ejpam-4599	169	32	2	2	NUM
ejpam-4599	169	33	.	.	PUNCT
ejpam-4599	170	1	(	(	PUNCT
ejpam-4599	170	2	33	33	NUM
ejpam-4599	170	3	)	)	PUNCT
ejpam-4599	170	4	when	when	SCONJ
ejpam-4599	170	5	n	n	X
ejpam-4599	170	6	→	→	SYM
ejpam-4599	170	7	∞	∞	PROPN
ejpam-4599	170	8	,	,	PUNCT
ejpam-4599	170	9	the	the	DET
ejpam-4599	170	10	nth	nth	NOUN
ejpam-4599	170	11	iteration	iteration	NOUN
ejpam-4599	170	12	(	(	PUNCT
ejpam-4599	170	13	approximate	approximate	ADJ
ejpam-4599	170	14	solution	solution	NOUN
ejpam-4599	170	15	)	)	PUNCT
ejpam-4599	170	16	will	will	AUX
ejpam-4599	170	17	be	be	AUX
ejpam-4599	170	18	w(x	w(x	PROPN
ejpam-4599	170	19	,	,	PUNCT
ejpam-4599	170	20	t	t	PROPN
ejpam-4599	170	21	)	)	PUNCT
ejpam-4599	171	1	=	=	VERB
ejpam-4599	171	2	lim	lim	PROPN
ejpam-4599	171	3	n→∞	n→∞	X
ejpam-4599	172	1	n∑	n∑	ADJ
ejpam-4599	172	2	k=0	k=0	PROPN
ejpam-4599	172	3	ηk	ηk	PROPN
ejpam-4599	172	4	w(x	w(x	PROPN
ejpam-4599	172	5	,	,	PUNCT
ejpam-4599	172	6	t	t	PROPN
ejpam-4599	172	7	)	)	PUNCT
ejpam-4599	172	8	=	=	SYM
ejpam-4599	172	9	2	2	NUM
ejpam-4599	172	10	λ	λ	NOUN
ejpam-4599	172	11	eλx	eλx	NOUN
ejpam-4599	172	12	b	b	NOUN
ejpam-4599	172	13	−	−	PROPN
ejpam-4599	172	14	a	a	PRON
ejpam-4599	172	15	(	(	PUNCT
ejpam-4599	172	16	1−	1−	NUM
ejpam-4599	172	17	e2λx	e2λx	PUNCT
ejpam-4599	172	18	)	)	PUNCT
ejpam-4599	172	19	b2	b2	NOUN
ejpam-4599	172	20	t+	t+	PUNCT
ejpam-4599	172	21	a	a	DET
ejpam-4599	172	22	λ3	λ3	PROPN
ejpam-4599	172	23	(	(	PUNCT
ejpam-4599	172	24	e4λx	e4λx	NOUN
ejpam-4599	172	25	−	−	NUM
ejpam-4599	172	26	6	6	NUM
ejpam-4599	172	27	e2λx	e2λx	PUNCT
ejpam-4599	172	28	+	+	CCONJ
ejpam-4599	172	29	1	1	X
ejpam-4599	172	30	)	)	PUNCT
ejpam-4599	172	31	b3	b3	NOUN
ejpam-4599	172	32	t2	t2	NOUN
ejpam-4599	172	33	2	2	NUM
ejpam-4599	172	34	−	−	NOUN
ejpam-4599	172	35	a	a	DET
ejpam-4599	172	36	λ5	λ5	NOUN
ejpam-4599	172	37	(	(	PUNCT
ejpam-4599	172	38	e6λx	e6λx	PUNCT
ejpam-4599	172	39	−	−	PROPN
ejpam-4599	172	40	23	23	NUM
ejpam-4599	172	41	e4λx	e4λx	NOUN
ejpam-4599	172	42	+	+	CCONJ
ejpam-4599	172	43	23	23	NUM
ejpam-4599	172	44	e2λx	e2λx	SYM
ejpam-4599	172	45	−	−	NUM
ejpam-4599	172	46	1	1	X
ejpam-4599	172	47	)	)	PUNCT
ejpam-4599	172	48	b4	b4	NOUN
ejpam-4599	172	49	t3	t3	NOUN
ejpam-4599	172	50	3	3	NUM
ejpam-4599	172	51	+	+	CCONJ
ejpam-4599	172	52	.	.	PUNCT
ejpam-4599	172	53	.	.	PUNCT
ejpam-4599	173	1	.	.	PUNCT
ejpam-4599	174	1	(	(	PUNCT
ejpam-4599	174	2	34	34	NUM
ejpam-4599	174	3	)	)	PUNCT
ejpam-4599	174	4	the	the	DET
ejpam-4599	174	5	series	series	NOUN
ejpam-4599	174	6	solution	solution	NOUN
ejpam-4599	174	7	(	(	PUNCT
ejpam-4599	174	8	34	34	NUM
ejpam-4599	174	9	)	)	PUNCT
ejpam-4599	174	10	of	of	ADP
ejpam-4599	174	11	the	the	DET
ejpam-4599	174	12	mkdv	mkdv	NOUN
ejpam-4599	174	13	eq	eq	ADP
ejpam-4599	174	14	.	.	PROPN
ejpam-4599	174	15	is	be	AUX
ejpam-4599	174	16	the	the	DET
ejpam-4599	174	17	taylor	taylor	PROPN
ejpam-4599	174	18	’s	’s	PART
ejpam-4599	174	19	expansion	expansion	NOUN
ejpam-4599	174	20	in	in	ADP
ejpam-4599	174	21	the	the	DET
ejpam-4599	174	22	variable	variable	ADJ
ejpam-4599	174	23	t	t	PROPN
ejpam-4599	174	24	of	of	ADP
ejpam-4599	174	25	the	the	DET
ejpam-4599	174	26	function	function	PROPN
ejpam-4599	174	27	w(x	w(x	PROPN
ejpam-4599	174	28	,	,	PUNCT
ejpam-4599	174	29	t	t	PROPN
ejpam-4599	174	30	)	)	PUNCT
ejpam-4599	174	31	=	=	PUNCT
ejpam-4599	175	1	√	√	PROPN
ejpam-4599	175	2	c	c	PROPN
ejpam-4599	175	3	sech	sech	PROPN
ejpam-4599	175	4	(	(	PUNCT
ejpam-4599	175	5	√	√	PROPN
ejpam-4599	175	6	c(x−	c(x−	PROPN
ejpam-4599	175	7	c	c	PROPN
ejpam-4599	175	8	t	t	PROPN
ejpam-4599	175	9	)	)	PUNCT
ejpam-4599	175	10	)	)	PUNCT
ejpam-4599	175	11	,	,	PUNCT
ejpam-4599	175	12	c	c	X
ejpam-4599	175	13	>	>	X
ejpam-4599	175	14	0	0	NUM
ejpam-4599	175	15	,	,	PUNCT
ejpam-4599	175	16	(	(	PUNCT
ejpam-4599	175	17	35	35	NUM
ejpam-4599	175	18	)	)	PUNCT
ejpam-4599	175	19	which	which	PRON
ejpam-4599	175	20	is	be	AUX
ejpam-4599	175	21	exactly	exactly	ADV
ejpam-4599	175	22	the	the	DET
ejpam-4599	175	23	same	same	ADJ
ejpam-4599	175	24	as	as	ADP
ejpam-4599	175	25	the	the	DET
ejpam-4599	175	26	one	one	NOUN
ejpam-4599	175	27	obtained	obtain	VERB
ejpam-4599	175	28	in	in	ADP
ejpam-4599	175	29	[	[	X
ejpam-4599	175	30	26	26	NUM
ejpam-4599	175	31	]	]	PUNCT
ejpam-4599	175	32	.	.	PUNCT
ejpam-4599	176	1	figure	figure	NOUN
ejpam-4599	176	2	(	(	PUNCT
ejpam-4599	176	3	1	1	X
ejpam-4599	176	4	)	)	PUNCT
ejpam-4599	176	5	shows	show	VERB
ejpam-4599	176	6	the	the	DET
ejpam-4599	176	7	solution	solution	NOUN
ejpam-4599	176	8	deduced	deduce	VERB
ejpam-4599	176	9	from	from	ADP
ejpam-4599	176	10	the	the	DET
ejpam-4599	176	11	convergent	convergent	PROPN
ejpam-4599	176	12	taylor	taylor	PROPN
ejpam-4599	176	13	’s	’s	PART
ejpam-4599	176	14	series	series	NOUN
ejpam-4599	176	15	in	in	ADP
ejpam-4599	176	16	eq	eq	PROPN
ejpam-4599	176	17	.	.	PUNCT
ejpam-4599	177	1	(	(	PUNCT
ejpam-4599	177	2	35	35	NUM
ejpam-4599	177	3	)	)	PUNCT
ejpam-4599	177	4	.	.	PUNCT
ejpam-4599	178	1	figure	figure	VERB
ejpam-4599	178	2	1	1	NUM
ejpam-4599	178	3	:	:	PUNCT
ejpam-4599	178	4	the	the	DET
ejpam-4599	178	5	exact	exact	ADJ
ejpam-4599	178	6	solution	solution	NOUN
ejpam-4599	178	7	of	of	ADP
ejpam-4599	178	8	eq	eq	PROPN
ejpam-4599	178	9	.	.	PUNCT
ejpam-4599	179	1	(	(	PUNCT
ejpam-4599	179	2	24	24	NUM
ejpam-4599	179	3	)	)	PUNCT
ejpam-4599	179	4	induced	induce	VERB
ejpam-4599	179	5	from	from	ADP
ejpam-4599	179	6	k	k	PROPN
ejpam-4599	179	7	-	-	PROPN
ejpam-4599	179	8	mi	mi	PROPN
ejpam-4599	179	9	method	method	NOUN
ejpam-4599	179	10	eq	eq	ADP
ejpam-4599	179	11	.	.	PUNCT
ejpam-4599	180	1	(	(	PUNCT
ejpam-4599	180	2	35	35	NUM
ejpam-4599	180	3	)	)	PUNCT
ejpam-4599	180	4	when	when	SCONJ
ejpam-4599	180	5	c	c	NOUN
ejpam-4599	180	6	=	=	SYM
ejpam-4599	180	7	4	4	X
ejpam-4599	180	8	.	.	PUNCT
ejpam-4599	181	1	this	this	PRON
ejpam-4599	181	2	is	be	AUX
ejpam-4599	181	3	soliton	soliton	NOUN
ejpam-4599	181	4	type	type	NOUN
ejpam-4599	181	5	of	of	ADP
ejpam-4599	181	6	solution	solution	NOUN
ejpam-4599	181	7	.	.	PUNCT
ejpam-4599	182	1	a.j	a.j	PROPN
ejpam-4599	182	2	.	.	PROPN
ejpam-4599	182	3	mohammed	mohammed	PROPN
ejpam-4599	182	4	,	,	PUNCT
ejpam-4599	182	5	s.t	s.t	PROPN
ejpam-4599	182	6	.	.	PROPN
ejpam-4599	182	7	al	al	PROPN
ejpam-4599	182	8	-	-	PUNCT
ejpam-4599	182	9	ramadhani	ramadhani	ADJ
ejpam-4599	182	10	,	,	PUNCT
ejpam-4599	182	11	r.m.h	r.m.h	NOUN
ejpam-4599	182	12	.	.	PUNCT
ejpam-4599	182	13	darghoth	darghoth	PROPN
ejpam-4599	182	14	/	/	PUNCT
ejpam-4599	182	15	eur	eur	PROPN
ejpam-4599	182	16	.	.	PUNCT
ejpam-4599	183	1	j.	j.	PROPN
ejpam-4599	183	2	pure	pure	PROPN
ejpam-4599	183	3	appl	appl	PROPN
ejpam-4599	183	4	.	.	PROPN
ejpam-4599	183	5	math	math	PROPN
ejpam-4599	183	6	,	,	PUNCT
ejpam-4599	183	7	15	15	NUM
ejpam-4599	183	8	(	(	PUNCT
ejpam-4599	183	9	4	4	NUM
ejpam-4599	183	10	)	)	PUNCT
ejpam-4599	183	11	(	(	PUNCT
ejpam-4599	183	12	2022	2022	NUM
ejpam-4599	183	13	)	)	PUNCT
ejpam-4599	183	14	,	,	PUNCT
ejpam-4599	183	15	1917	1917	NUM
ejpam-4599	183	16	-	-	SYM
ejpam-4599	183	17	1936	1936	NUM
ejpam-4599	183	18	1924	1924	NUM
ejpam-4599	183	19	example	example	NOUN
ejpam-4599	183	20	2	2	X
ejpam-4599	183	21	.	.	X
ejpam-4599	183	22	consider	consider	VERB
ejpam-4599	183	23	the	the	DET
ejpam-4599	183	24	third	third	ADJ
ejpam-4599	183	25	order	order	NOUN
ejpam-4599	183	26	nonhomogeneous	nonhomogeneous	NOUN
ejpam-4599	183	27	mkdv	mkdv	NOUN
ejpam-4599	183	28	eq	eq	ADP
ejpam-4599	183	29	.	.	PUNCT
ejpam-4599	184	1	[	[	X
ejpam-4599	184	2	20	20	NUM
ejpam-4599	184	3	]	]	PUNCT
ejpam-4599	184	4	wt(x	wt(x	NOUN
ejpam-4599	184	5	,	,	PUNCT
ejpam-4599	184	6	t)−	t)−	PROPN
ejpam-4599	184	7	w2	w2	NOUN
ejpam-4599	184	8	wx(x	wx(x	AUX
ejpam-4599	184	9	,	,	PUNCT
ejpam-4599	184	10	t	t	PROPN
ejpam-4599	184	11	)	)	PUNCT
ejpam-4599	184	12	+	+	CCONJ
ejpam-4599	184	13	w3x(x	w3x(x	PROPN
ejpam-4599	184	14	,	,	PUNCT
ejpam-4599	184	15	t	t	NOUN
ejpam-4599	184	16	)	)	PUNCT
ejpam-4599	184	17	=	=	PUNCT
ejpam-4599	185	1	x	x	PUNCT
ejpam-4599	185	2	−	−	NOUN
ejpam-4599	185	3	3	3	NUM
ejpam-4599	185	4	t2x−	t2x−	NOUN
ejpam-4599	185	5	(	(	PUNCT
ejpam-4599	185	6	x	x	X
ejpam-4599	185	7	t−	t−	NOUN
ejpam-4599	185	8	t3x	t3x	NOUN
ejpam-4599	185	9	)	)	SYM
ejpam-4599	185	10	2	2	NUM
ejpam-4599	185	11	(	(	PUNCT
ejpam-4599	185	12	t	t	NOUN
ejpam-4599	185	13	−	−	PROPN
ejpam-4599	185	14	t3	t3	PROPN
ejpam-4599	185	15	)	)	PUNCT
ejpam-4599	185	16	,	,	PUNCT
ejpam-4599	185	17	(	(	PUNCT
ejpam-4599	185	18	36	36	NUM
ejpam-4599	185	19	)	)	PUNCT
ejpam-4599	185	20	using	use	VERB
ejpam-4599	185	21	the	the	DET
ejpam-4599	185	22	ic	ic	PROPN
ejpam-4599	185	23	w(x	w(x	PROPN
ejpam-4599	185	24	,	,	PUNCT
ejpam-4599	185	25	0	0	NUM
ejpam-4599	185	26	)	)	PUNCT
ejpam-4599	185	27	=	=	SYM
ejpam-4599	186	1	0	0	X
ejpam-4599	186	2	.	.	PUNCT
ejpam-4599	187	1	it	it	PRON
ejpam-4599	187	2	is	be	AUX
ejpam-4599	187	3	clear	clear	ADJ
ejpam-4599	187	4	that	that	SCONJ
ejpam-4599	187	5	,	,	PUNCT
ejpam-4599	187	6	when	when	SCONJ
ejpam-4599	187	7	we	we	PRON
ejpam-4599	187	8	compare	compare	VERB
ejpam-4599	187	9	eq	eq	ADP
ejpam-4599	187	10	.	.	PUNCT
ejpam-4599	188	1	(	(	PUNCT
ejpam-4599	188	2	36	36	NUM
ejpam-4599	188	3	)	)	PUNCT
ejpam-4599	188	4	to	to	ADP
ejpam-4599	188	5	eq	eq	NOUN
ejpam-4599	188	6	.	.	PUNCT
ejpam-4599	189	1	(	(	PUNCT
ejpam-4599	189	2	7	7	NUM
ejpam-4599	189	3	)	)	PUNCT
ejpam-4599	189	4	,	,	PUNCT
ejpam-4599	189	5	we	we	PRON
ejpam-4599	189	6	have	have	VERB
ejpam-4599	189	7	ẇ	ẇ	NOUN
ejpam-4599	189	8	=	=	SYM
ejpam-4599	189	9	∂w(x	∂w(x	PROPN
ejpam-4599	189	10	,	,	PUNCT
ejpam-4599	189	11	t	t	PROPN
ejpam-4599	189	12	)	)	PUNCT
ejpam-4599	189	13	∂t	∂t	PROPN
ejpam-4599	189	14	,	,	PUNCT
ejpam-4599	189	15	m	m	VERB
ejpam-4599	190	1	[	[	X
ejpam-4599	190	2	w(x	w(x	NOUN
ejpam-4599	190	3	,	,	PUNCT
ejpam-4599	190	4	t	t	PROPN
ejpam-4599	190	5	)	)	PUNCT
ejpam-4599	190	6	]	]	PUNCT
ejpam-4599	191	1	=	=	PUNCT
ejpam-4599	191	2	w3x(x	w3x(x	PROPN
ejpam-4599	191	3	,	,	PUNCT
ejpam-4599	191	4	t)−	t)−	PROPN
ejpam-4599	191	5	w2	w2	NOUN
ejpam-4599	191	6	wx(x	wx(x	AUX
ejpam-4599	191	7	,	,	PUNCT
ejpam-4599	191	8	t	t	PROPN
ejpam-4599	191	9	)	)	PUNCT
ejpam-4599	191	10	,	,	PUNCT
ejpam-4599	191	11	(	(	PUNCT
ejpam-4599	191	12	37	37	NUM
ejpam-4599	191	13	)	)	PUNCT
ejpam-4599	191	14	and	and	CCONJ
ejpam-4599	191	15	g(x	g(x	PROPN
ejpam-4599	191	16	,	,	PUNCT
ejpam-4599	191	17	t	t	PROPN
ejpam-4599	191	18	)	)	PUNCT
ejpam-4599	191	19	=	=	PUNCT
ejpam-4599	192	1	−3	−3	PROPN
ejpam-4599	193	1	t2x+	t2x+	INTJ
ejpam-4599	193	2	x−	x−	PROPN
ejpam-4599	194	1	(	(	PUNCT
ejpam-4599	194	2	−t3x+	−t3x+	INTJ
ejpam-4599	194	3	tx	tx	PROPN
ejpam-4599	194	4	)	)	PUNCT
ejpam-4599	194	5	2	2	X
ejpam-4599	194	6	(	(	PUNCT
ejpam-4599	194	7	−t3	−t3	PROPN
ejpam-4599	194	8	+	+	PROPN
ejpam-4599	194	9	t	t	PROPN
ejpam-4599	194	10	)	)	PUNCT
ejpam-4599	194	11	.	.	PUNCT
ejpam-4599	195	1	(	(	PUNCT
ejpam-4599	195	2	38	38	NUM
ejpam-4599	195	3	)	)	PUNCT
ejpam-4599	195	4	similarly	similarly	ADV
ejpam-4599	195	5	as	as	ADP
ejpam-4599	195	6	in	in	ADP
ejpam-4599	195	7	example	example	NOUN
ejpam-4599	195	8	(	(	PUNCT
ejpam-4599	195	9	1	1	NUM
ejpam-4599	195	10	)	)	PUNCT
ejpam-4599	195	11	,	,	PUNCT
ejpam-4599	195	12	we	we	PRON
ejpam-4599	195	13	have	have	AUX
ejpam-4599	195	14	used	use	VERB
ejpam-4599	195	15	k	k	PROPN
ejpam-4599	195	16	-	-	PROPN
ejpam-4599	195	17	mi	mi	PROPN
ejpam-4599	195	18	method	method	NOUN
ejpam-4599	195	19	and	and	CCONJ
ejpam-4599	195	20	following	follow	VERB
ejpam-4599	195	21	the	the	DET
ejpam-4599	195	22	procedure	procedure	NOUN
ejpam-4599	195	23	in	in	ADP
ejpam-4599	195	24	section	section	NOUN
ejpam-4599	195	25	(	(	PUNCT
ejpam-4599	195	26	2.2	2.2	NUM
ejpam-4599	195	27	)	)	PUNCT
ejpam-4599	195	28	,	,	PUNCT
ejpam-4599	195	29	we	we	PRON
ejpam-4599	195	30	have	have	VERB
ejpam-4599	195	31	m	m	PRON
ejpam-4599	195	32	[	[	X
ejpam-4599	195	33	wn(x	wn(x	X
ejpam-4599	195	34	,	,	PUNCT
ejpam-4599	195	35	t	t	PROPN
ejpam-4599	195	36	)	)	PUNCT
ejpam-4599	195	37	]	]	PUNCT
ejpam-4599	196	1	=	=	PUNCT
ejpam-4599	196	2	w{n,3x}(x	w{n,3x}(x	PROPN
ejpam-4599	196	3	,	,	PUNCT
ejpam-4599	196	4	t)−	t)−	PROPN
ejpam-4599	196	5	w2	w2	NOUN
ejpam-4599	196	6	{	{	PUNCT
ejpam-4599	196	7	n	n	X
ejpam-4599	196	8	,	,	PUNCT
ejpam-4599	196	9	x}(x	x}(x	PROPN
ejpam-4599	196	10	,	,	PUNCT
ejpam-4599	196	11	t	t	PROPN
ejpam-4599	196	12	)	)	PUNCT
ejpam-4599	196	13	=	=	PUNCT
ejpam-4599	196	14	qn(x	qn(x	X
ejpam-4599	196	15	,	,	PUNCT
ejpam-4599	196	16	t	t	PROPN
ejpam-4599	196	17	)	)	PUNCT
ejpam-4599	196	18	+	+	NOUN
ejpam-4599	196	19	o(tn+1	o(tn+1	ADJ
ejpam-4599	196	20	)	)	PUNCT
ejpam-4599	196	21	,	,	PUNCT
ejpam-4599	196	22	(	(	PUNCT
ejpam-4599	196	23	39	39	NUM
ejpam-4599	196	24	)	)	PUNCT
ejpam-4599	196	25	gn(x	gn(x	X
ejpam-4599	196	26	,	,	PUNCT
ejpam-4599	196	27	t	t	PROPN
ejpam-4599	196	28	)	)	PUNCT
ejpam-4599	196	29	=	=	PUNCT
ejpam-4599	197	1	−t9x2	−t9x2	NOUN
ejpam-4599	197	2	+	+	NUM
ejpam-4599	197	3	3	3	NUM
ejpam-4599	197	4	t7x2	t7x2	ADP
ejpam-4599	197	5	−	−	NOUN
ejpam-4599	197	6	3	3	NUM
ejpam-4599	197	7	t5x2	t5x2	NOUN
ejpam-4599	197	8	+	+	NOUN
ejpam-4599	197	9	t3x2	t3x2	ADP
ejpam-4599	197	10	+	+	NUM
ejpam-4599	197	11	3	3	NUM
ejpam-4599	197	12	t2x−	t2x−	NOUN
ejpam-4599	197	13	x+o(tn+1	x+o(tn+1	NOUN
ejpam-4599	197	14	)	)	PUNCT
ejpam-4599	197	15	,	,	PUNCT
ejpam-4599	197	16	(	(	PUNCT
ejpam-4599	197	17	40	40	NUM
ejpam-4599	197	18	)	)	PUNCT
ejpam-4599	197	19	here	here	ADV
ejpam-4599	197	20	,	,	PUNCT
ejpam-4599	197	21	the	the	DET
ejpam-4599	197	22	function	function	NOUN
ejpam-4599	197	23	gn	gn	PROPN
ejpam-4599	197	24	is	be	AUX
ejpam-4599	197	25	a	a	DET
ejpam-4599	197	26	polynomial	polynomial	NOUN
ejpam-4599	197	27	of	of	ADP
ejpam-4599	197	28	degree	degree	NOUN
ejpam-4599	197	29	(	(	PUNCT
ejpam-4599	197	30	9	9	NUM
ejpam-4599	197	31	)	)	PUNCT
ejpam-4599	197	32	in	in	ADP
ejpam-4599	197	33	the	the	DET
ejpam-4599	197	34	variable	variable	ADJ
ejpam-4599	197	35	t.	t.	NOUN
ejpam-4599	197	36	when	when	SCONJ
ejpam-4599	197	37	n	n	X
ejpam-4599	197	38	=	=	SYM
ejpam-4599	197	39	0	0	NUM
ejpam-4599	197	40	,	,	PUNCT
ejpam-4599	197	41	then	then	ADV
ejpam-4599	197	42	η0	η0	ADJ
ejpam-4599	197	43	=	=	SYM
ejpam-4599	197	44	w0	w0	PROPN
ejpam-4599	197	45	=	=	SYM
ejpam-4599	197	46	0	0	NUM
ejpam-4599	197	47	,	,	PUNCT
ejpam-4599	197	48	using	use	VERB
ejpam-4599	197	49	(	(	PUNCT
ejpam-4599	197	50	39	39	NUM
ejpam-4599	197	51	)	)	PUNCT
ejpam-4599	197	52	and	and	CCONJ
ejpam-4599	197	53	(	(	PUNCT
ejpam-4599	197	54	40	40	NUM
ejpam-4599	197	55	)	)	PUNCT
ejpam-4599	197	56	to	to	PART
ejpam-4599	197	57	find	find	VERB
ejpam-4599	197	58	q0(x	q0(x	PROPN
ejpam-4599	197	59	,	,	PUNCT
ejpam-4599	197	60	t	t	PROPN
ejpam-4599	197	61	)	)	PUNCT
ejpam-4599	197	62	=	=	SYM
ejpam-4599	197	63	0	0	NUM
ejpam-4599	197	64	,	,	PUNCT
ejpam-4599	197	65	g0(x	g0(x	NOUN
ejpam-4599	197	66	,	,	PUNCT
ejpam-4599	197	67	t	t	PROPN
ejpam-4599	197	68	)	)	PUNCT
ejpam-4599	197	69	=	=	PUNCT
ejpam-4599	198	1	−x+−t9x2	−x+−t9x2	PROPN
ejpam-4599	198	2	+	+	CCONJ
ejpam-4599	198	3	3	3	NUM
ejpam-4599	198	4	t7x2	t7x2	ADP
ejpam-4599	198	5	−	−	NOUN
ejpam-4599	198	6	3	3	NUM
ejpam-4599	198	7	t5x2	t5x2	NOUN
ejpam-4599	198	8	+	+	NOUN
ejpam-4599	198	9	t3x2	t3x2	PART
ejpam-4599	198	10	+	+	NUM
ejpam-4599	198	11	3	3	NUM
ejpam-4599	198	12	t2x︸	t2x︸	PROPN
ejpam-4599	198	13	︷︷	︷︷	PROPN
ejpam-4599	198	14	︸	︸	X
ejpam-4599	198	15	neglect	neglect	NOUN
ejpam-4599	198	16	,	,	PUNCT
ejpam-4599	198	17	(	(	PUNCT
ejpam-4599	198	18	41	41	NUM
ejpam-4599	198	19	)	)	PUNCT
ejpam-4599	198	20	hence	hence	ADV
ejpam-4599	198	21	,	,	PUNCT
ejpam-4599	198	22	substituting	substitute	VERB
ejpam-4599	198	23	q0	q0	PROPN
ejpam-4599	198	24	and	and	CCONJ
ejpam-4599	198	25	g0	g0	NOUN
ejpam-4599	198	26	in	in	ADP
ejpam-4599	198	27	eq	eq	PROPN
ejpam-4599	198	28	(	(	PUNCT
ejpam-4599	198	29	19	19	NUM
ejpam-4599	198	30	)	)	PUNCT
ejpam-4599	198	31	,	,	PUNCT
ejpam-4599	198	32	we	we	PRON
ejpam-4599	198	33	have	have	VERB
ejpam-4599	198	34	η1	η1	NOUN
ejpam-4599	198	35	=	=	SYM
ejpam-4599	198	36	t	t	NOUN
ejpam-4599	198	37	[	[	X
ejpam-4599	198	38	η0	η0	NOUN
ejpam-4599	198	39	=	=	SYM
ejpam-4599	198	40	w0	w0	PROPN
ejpam-4599	198	41	]	]	PUNCT
ejpam-4599	199	1	=	=	PUNCT
ejpam-4599	199	2	−k−1[υk[(q0	−k−1[υk[(q0	NOUN
ejpam-4599	199	3	−q−1	−q−1	NUM
ejpam-4599	199	4	)	)	PUNCT
ejpam-4599	200	1	+	+	CCONJ
ejpam-4599	200	2	(	(	PUNCT
ejpam-4599	200	3	g0	g0	PROPN
ejpam-4599	200	4	−g−1	−g−1	NUM
ejpam-4599	200	5	)	)	PUNCT
ejpam-4599	200	6	]	]	PUNCT
ejpam-4599	200	7	]	]	X
ejpam-4599	200	8	,	,	PUNCT
ejpam-4599	200	9	g−1	g−1	PROPN
ejpam-4599	200	10	=	=	SYM
ejpam-4599	200	11	0	0	PUNCT
ejpam-4599	200	12	=	=	SYM
ejpam-4599	200	13	xt	xt	PROPN
ejpam-4599	200	14	,	,	PUNCT
ejpam-4599	200	15	(	(	PUNCT
ejpam-4599	200	16	42	42	NUM
ejpam-4599	200	17	)	)	PUNCT
ejpam-4599	200	18	therefore	therefore	ADV
ejpam-4599	200	19	,	,	PUNCT
ejpam-4599	200	20	the	the	DET
ejpam-4599	200	21	first	first	ADJ
ejpam-4599	200	22	iteration	iteration	NOUN
ejpam-4599	200	23	w1	w1	NOUN
ejpam-4599	200	24	is	be	AUX
ejpam-4599	200	25	w1(x	w1(x	PROPN
ejpam-4599	200	26	,	,	PUNCT
ejpam-4599	200	27	t	t	PROPN
ejpam-4599	200	28	)	)	PUNCT
ejpam-4599	201	1	=	=	NOUN
ejpam-4599	201	2	η0	η0	NOUN
ejpam-4599	201	3	+	+	NUM
ejpam-4599	201	4	η1	η1	NOUN
ejpam-4599	201	5	=	=	SYM
ejpam-4599	201	6	xt	xt	PROPN
ejpam-4599	201	7	.	.	PUNCT
ejpam-4599	202	1	(	(	PUNCT
ejpam-4599	202	2	43	43	NUM
ejpam-4599	202	3	)	)	PUNCT
ejpam-4599	202	4	when	when	SCONJ
ejpam-4599	202	5	n	n	X
ejpam-4599	202	6	=	=	SYM
ejpam-4599	202	7	1	1	NUM
ejpam-4599	202	8	,	,	PUNCT
ejpam-4599	202	9	then	then	ADV
ejpam-4599	202	10	,	,	PUNCT
ejpam-4599	202	11	q1(x	q1(x	PROPN
ejpam-4599	202	12	,	,	PUNCT
ejpam-4599	202	13	t	t	PROPN
ejpam-4599	202	14	)	)	PUNCT
ejpam-4599	202	15	=	=	SYM
ejpam-4599	202	16	0	0	NUM
ejpam-4599	202	17	,	,	PUNCT
ejpam-4599	202	18	and	and	CCONJ
ejpam-4599	202	19	g1(x	g1(x	NOUN
ejpam-4599	202	20	,	,	PUNCT
ejpam-4599	202	21	t	t	PROPN
ejpam-4599	202	22	)	)	PUNCT
ejpam-4599	202	23	=	=	NOUN
ejpam-4599	202	24	−x+	−x+	NOUN
ejpam-4599	202	25	xt3︸︷︷︸	xt3︸︷︷︸	ADV
ejpam-4599	202	26	neglect	neglect	NOUN
ejpam-4599	202	27	,	,	PUNCT
ejpam-4599	202	28	so	so	ADV
ejpam-4599	202	29	,	,	PUNCT
ejpam-4599	202	30	η2	η2	ADJ
ejpam-4599	202	31	=	=	PROPN
ejpam-4599	202	32	t	t	X
ejpam-4599	203	1	[	[	X
ejpam-4599	203	2	w1	w1	NOUN
ejpam-4599	203	3	]	]	PUNCT
ejpam-4599	203	4	=	=	PUNCT
ejpam-4599	203	5	−k−1[υk[(q1	−k−1[υk[(q1	PROPN
ejpam-4599	203	6	−q0	−q0	PROPN
ejpam-4599	203	7	)	)	PUNCT
ejpam-4599	204	1	+	+	CCONJ
ejpam-4599	204	2	(	(	PUNCT
ejpam-4599	204	3	g1	g1	PROPN
ejpam-4599	204	4	−g0	−g0	PROPN
ejpam-4599	204	5	)	)	PUNCT
ejpam-4599	205	1	]	]	PUNCT
ejpam-4599	205	2	]	]	X
ejpam-4599	205	3	=	=	SYM
ejpam-4599	205	4	0	0	NUM
ejpam-4599	205	5	,	,	PUNCT
ejpam-4599	205	6	(	(	PUNCT
ejpam-4599	205	7	44	44	NUM
ejpam-4599	205	8	)	)	PUNCT
ejpam-4599	205	9	therefore	therefore	ADV
ejpam-4599	205	10	,	,	PUNCT
ejpam-4599	205	11	the	the	DET
ejpam-4599	205	12	second	second	ADJ
ejpam-4599	205	13	iteration	iteration	NOUN
ejpam-4599	205	14	w2	w2	NOUN
ejpam-4599	205	15	is	be	AUX
ejpam-4599	205	16	w2(x	w2(x	PROPN
ejpam-4599	205	17	,	,	PUNCT
ejpam-4599	205	18	t	t	PROPN
ejpam-4599	205	19	)	)	PUNCT
ejpam-4599	206	1	=	=	NOUN
ejpam-4599	206	2	η0	η0	NOUN
ejpam-4599	206	3	+	+	CCONJ
ejpam-4599	206	4	η1	η1	NOUN
ejpam-4599	206	5	+	+	CCONJ
ejpam-4599	206	6	η2	η2	ADJ
ejpam-4599	206	7	=	=	PUNCT
ejpam-4599	206	8	x	x	SYM
ejpam-4599	206	9	t.	t.	NOUN
ejpam-4599	206	10	(	(	PUNCT
ejpam-4599	206	11	45	45	NUM
ejpam-4599	206	12	)	)	PUNCT
ejpam-4599	206	13	a.j	a.j	PROPN
ejpam-4599	206	14	.	.	PROPN
ejpam-4599	206	15	mohammed	mohammed	PROPN
ejpam-4599	206	16	,	,	PUNCT
ejpam-4599	206	17	s.t	s.t	PROPN
ejpam-4599	206	18	.	.	PROPN
ejpam-4599	206	19	al	al	PROPN
ejpam-4599	206	20	-	-	PUNCT
ejpam-4599	206	21	ramadhani	ramadhani	ADJ
ejpam-4599	206	22	,	,	PUNCT
ejpam-4599	206	23	r.m.h	r.m.h	NOUN
ejpam-4599	206	24	.	.	PUNCT
ejpam-4599	206	25	darghoth	darghoth	PROPN
ejpam-4599	206	26	/	/	PUNCT
ejpam-4599	206	27	eur	eur	PROPN
ejpam-4599	206	28	.	.	PUNCT
ejpam-4599	207	1	j.	j.	PROPN
ejpam-4599	207	2	pure	pure	PROPN
ejpam-4599	207	3	appl	appl	PROPN
ejpam-4599	207	4	.	.	PROPN
ejpam-4599	207	5	math	math	PROPN
ejpam-4599	207	6	,	,	PUNCT
ejpam-4599	207	7	15	15	NUM
ejpam-4599	207	8	(	(	PUNCT
ejpam-4599	207	9	4	4	NUM
ejpam-4599	207	10	)	)	PUNCT
ejpam-4599	207	11	(	(	PUNCT
ejpam-4599	207	12	2022	2022	NUM
ejpam-4599	207	13	)	)	PUNCT
ejpam-4599	207	14	,	,	PUNCT
ejpam-4599	207	15	1917	1917	NUM
ejpam-4599	207	16	-	-	SYM
ejpam-4599	207	17	1936	1936	NUM
ejpam-4599	207	18	1925	1925	NUM
ejpam-4599	207	19	when	when	SCONJ
ejpam-4599	207	20	n	n	PROPN
ejpam-4599	207	21	=	=	SYM
ejpam-4599	207	22	2	2	NUM
ejpam-4599	207	23	q2(x	q2(x	PROPN
ejpam-4599	207	24	,	,	PUNCT
ejpam-4599	207	25	t	t	PROPN
ejpam-4599	207	26	)	)	PUNCT
ejpam-4599	207	27	=	=	SYM
ejpam-4599	207	28	−x2t3︸	−x2t3︸	NOUN
ejpam-4599	207	29	︷︷	︷︷	PROPN
ejpam-4599	208	1	︸	︸	PUNCT
ejpam-4599	208	2	neglect	neglect	NOUN
ejpam-4599	208	3	,	,	PUNCT
ejpam-4599	208	4	g2(x	g2(x	PROPN
ejpam-4599	208	5	,	,	PUNCT
ejpam-4599	208	6	t	t	PROPN
ejpam-4599	208	7	)	)	PUNCT
ejpam-4599	208	8	=	=	PUNCT
ejpam-4599	208	9	−x+	−x+	NOUN
ejpam-4599	208	10	3	3	NUM
ejpam-4599	208	11	x	x	SYM
ejpam-4599	208	12	t2	t2	NOUN
ejpam-4599	208	13	+	+	NOUN
ejpam-4599	208	14	−t9x2	−t9x2	NOUN
ejpam-4599	208	15	+	+	CCONJ
ejpam-4599	208	16	3	3	NUM
ejpam-4599	208	17	t7x2	t7x2	ADP
ejpam-4599	208	18	−	−	NOUN
ejpam-4599	208	19	3	3	NUM
ejpam-4599	208	20	t5x2	t5x2	NUM
ejpam-4599	208	21	+	+	CCONJ
ejpam-4599	208	22	t3x2︸	t3x2︸	ADJ
ejpam-4599	208	23	︷︷	︷︷	NOUN
ejpam-4599	208	24	︸	︸	X
ejpam-4599	208	25	neglect	neglect	NOUN
ejpam-4599	208	26	.	.	PUNCT
ejpam-4599	209	1	(	(	PUNCT
ejpam-4599	209	2	46	46	NUM
ejpam-4599	209	3	)	)	PUNCT
ejpam-4599	209	4	so	so	ADV
ejpam-4599	209	5	,	,	PUNCT
ejpam-4599	209	6	q2	q2	PROPN
ejpam-4599	209	7	=	=	SYM
ejpam-4599	209	8	0	0	PROPN
ejpam-4599	209	9	and	and	CCONJ
ejpam-4599	209	10	g2	g2	PROPN
ejpam-4599	209	11	=	=	PUNCT
ejpam-4599	209	12	3	3	NUM
ejpam-4599	209	13	x	x	SYM
ejpam-4599	209	14	t2	t2	NOUN
ejpam-4599	209	15	−	−	PROPN
ejpam-4599	209	16	x	x	SYM
ejpam-4599	209	17	η3	η3	PROPN
ejpam-4599	209	18	=	=	PROPN
ejpam-4599	209	19	t	t	X
ejpam-4599	210	1	[	[	X
ejpam-4599	210	2	w2	w2	NOUN
ejpam-4599	210	3	]	]	X
ejpam-4599	210	4	=	=	PUNCT
ejpam-4599	210	5	−k−1[υk[(q2	−k−1[υk[(q2	PROPN
ejpam-4599	210	6	−q1	−q1	PROPN
ejpam-4599	210	7	)	)	PUNCT
ejpam-4599	211	1	+	+	CCONJ
ejpam-4599	211	2	(	(	PUNCT
ejpam-4599	211	3	g2	g2	PROPN
ejpam-4599	211	4	−g1	−g1	VERB
ejpam-4599	211	5	)	)	PUNCT
ejpam-4599	211	6	]	]	PUNCT
ejpam-4599	211	7	]	]	PUNCT
ejpam-4599	211	8	=	=	PUNCT
ejpam-4599	211	9	−x	−x	NUM
ejpam-4599	211	10	t3	t3	PROPN
ejpam-4599	211	11	,	,	PUNCT
ejpam-4599	211	12	(	(	PUNCT
ejpam-4599	211	13	47	47	NUM
ejpam-4599	211	14	)	)	PUNCT
ejpam-4599	211	15	therefore	therefore	ADV
ejpam-4599	211	16	,	,	PUNCT
ejpam-4599	211	17	the	the	DET
ejpam-4599	211	18	third	third	ADJ
ejpam-4599	211	19	iteration	iteration	NOUN
ejpam-4599	211	20	w3	w3	PROPN
ejpam-4599	211	21	is	be	AUX
ejpam-4599	211	22	w3(x	w3(x	PROPN
ejpam-4599	211	23	,	,	PUNCT
ejpam-4599	211	24	t	t	NOUN
ejpam-4599	211	25	)	)	PUNCT
ejpam-4599	212	1	=	=	NOUN
ejpam-4599	212	2	η0	η0	NOUN
ejpam-4599	212	3	+	+	CCONJ
ejpam-4599	212	4	η1	η1	NOUN
ejpam-4599	212	5	+	+	CCONJ
ejpam-4599	212	6	η2	η2	ADJ
ejpam-4599	212	7	+	+	CCONJ
ejpam-4599	212	8	η3	η3	NOUN
ejpam-4599	212	9	=	=	PUNCT
ejpam-4599	212	10	x	x	X
ejpam-4599	212	11	t−	t−	PROPN
ejpam-4599	212	12	x	x	PROPN
ejpam-4599	212	13	t3	t3	PROPN
ejpam-4599	212	14	.	.	PUNCT
ejpam-4599	213	1	(	(	PUNCT
ejpam-4599	213	2	48	48	NUM
ejpam-4599	213	3	)	)	PUNCT
ejpam-4599	213	4	finally	finally	ADV
ejpam-4599	213	5	,	,	PUNCT
ejpam-4599	213	6	when	when	SCONJ
ejpam-4599	213	7	n	n	X
ejpam-4599	213	8	→	→	SYM
ejpam-4599	213	9	∞	∞	PROPN
ejpam-4599	213	10	,	,	PUNCT
ejpam-4599	213	11	the	the	DET
ejpam-4599	213	12	series	series	NOUN
ejpam-4599	213	13	solution	solution	NOUN
ejpam-4599	213	14	(	(	PUNCT
ejpam-4599	213	15	48	48	NUM
ejpam-4599	213	16	)	)	PUNCT
ejpam-4599	213	17	of	of	ADP
ejpam-4599	213	18	the	the	DET
ejpam-4599	213	19	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	213	20	mkdv	mkdv	NOUN
ejpam-4599	213	21	equation	equation	NOUN
ejpam-4599	213	22	(	(	PUNCT
ejpam-4599	213	23	36	36	NUM
ejpam-4599	213	24	)	)	PUNCT
ejpam-4599	213	25	has	have	VERB
ejpam-4599	213	26	the	the	DET
ejpam-4599	213	27	sum	sum	NOUN
ejpam-4599	213	28	:	:	PUNCT
ejpam-4599	213	29	w(x	w(x	NOUN
ejpam-4599	213	30	,	,	PUNCT
ejpam-4599	213	31	t	t	PROPN
ejpam-4599	213	32	)	)	PUNCT
ejpam-4599	214	1	=	=	VERB
ejpam-4599	214	2	lim	lim	PROPN
ejpam-4599	214	3	n→∞	n→∞	X
ejpam-4599	215	1	n∑	n∑	ADJ
ejpam-4599	215	2	k=0	k=0	PROPN
ejpam-4599	215	3	ηk	ηk	ADP
ejpam-4599	215	4	=	=	SYM
ejpam-4599	215	5	0	0	PROPN
ejpam-4599	215	6	+	+	NUM
ejpam-4599	215	7	xt+	xt+	NOUN
ejpam-4599	215	8	0−	0−	NUM
ejpam-4599	216	1	x	x	PUNCT
ejpam-4599	216	2	t3	t3	NOUN
ejpam-4599	216	3	−	−	PROPN
ejpam-4599	216	4	1	1	NUM
ejpam-4599	216	5	4	4	NUM
ejpam-4599	216	6	x	x	SYM
ejpam-4599	216	7	t4(x−	t4(x−	NUM
ejpam-4599	216	8	1	1	NUM
ejpam-4599	216	9	)	)	PUNCT
ejpam-4599	216	10	+	+	CCONJ
ejpam-4599	216	11	1	1	NUM
ejpam-4599	216	12	4	4	NUM
ejpam-4599	216	13	x	x	SYM
ejpam-4599	216	14	t4(x−	t4(x−	NUM
ejpam-4599	216	15	1	1	NUM
ejpam-4599	216	16	)	)	PUNCT
ejpam-4599	216	17	+	+	CCONJ
ejpam-4599	216	18	·	·	PUNCT
ejpam-4599	216	19	·	·	PUNCT
ejpam-4599	216	20	·	·	PUNCT
ejpam-4599	217	1	=	=	PUNCT
ejpam-4599	217	2	x	x	PUNCT
ejpam-4599	217	3	t−	t−	PROPN
ejpam-4599	217	4	x	x	PROPN
ejpam-4599	217	5	t3	t3	PROPN
ejpam-4599	217	6	.	.	PUNCT
ejpam-4599	218	1	(	(	PUNCT
ejpam-4599	218	2	49	49	NUM
ejpam-4599	218	3	)	)	PUNCT
ejpam-4599	218	4	which	which	PRON
ejpam-4599	218	5	is	be	AUX
ejpam-4599	218	6	the	the	DET
ejpam-4599	218	7	exact	exact	ADJ
ejpam-4599	218	8	solution	solution	NOUN
ejpam-4599	218	9	.	.	PUNCT
ejpam-4599	219	1	the	the	DET
ejpam-4599	219	2	w(x	w(x	PROPN
ejpam-4599	219	3	,	,	PUNCT
ejpam-4599	219	4	t	t	PROPN
ejpam-4599	219	5	)	)	PUNCT
ejpam-4599	219	6	in	in	ADP
ejpam-4599	219	7	eq	eq	ADP
ejpam-4599	219	8	.	.	PUNCT
ejpam-4599	219	9	(	(	PUNCT
ejpam-4599	219	10	49	49	NUM
ejpam-4599	219	11	)	)	PUNCT
ejpam-4599	219	12	is	be	AUX
ejpam-4599	219	13	a	a	DET
ejpam-4599	219	14	polynomial	polynomial	NOUN
ejpam-4599	219	15	of	of	ADP
ejpam-4599	219	16	degree	degree	NOUN
ejpam-4599	219	17	(	(	PUNCT
ejpam-4599	219	18	3	3	NUM
ejpam-4599	219	19	)	)	PUNCT
ejpam-4599	219	20	function	function	NOUN
ejpam-4599	219	21	.	.	PUNCT
ejpam-4599	220	1	equation	equation	NOUN
ejpam-4599	220	2	(	(	PUNCT
ejpam-4599	220	3	36	36	NUM
ejpam-4599	220	4	)	)	PUNCT
ejpam-4599	220	5	was	be	AUX
ejpam-4599	220	6	solved	solve	VERB
ejpam-4599	220	7	in	in	ADP
ejpam-4599	220	8	[	[	X
ejpam-4599	220	9	20	20	NUM
ejpam-4599	220	10	]	]	PUNCT
ejpam-4599	220	11	and	and	CCONJ
ejpam-4599	220	12	figure	figure	NOUN
ejpam-4599	220	13	(	(	PUNCT
ejpam-4599	220	14	2	2	NUM
ejpam-4599	220	15	)	)	PUNCT
ejpam-4599	220	16	display	display	VERB
ejpam-4599	220	17	the	the	DET
ejpam-4599	220	18	exact	exact	ADJ
ejpam-4599	220	19	solution	solution	NOUN
ejpam-4599	220	20	which	which	PRON
ejpam-4599	220	21	concluded	conclude	VERB
ejpam-4599	220	22	from	from	ADP
ejpam-4599	220	23	the	the	DET
ejpam-4599	220	24	taylor	taylor	PROPN
ejpam-4599	220	25	’s	’s	PART
ejpam-4599	220	26	series	series	NOUN
ejpam-4599	220	27	in	in	ADP
ejpam-4599	220	28	eq	eq	PROPN
ejpam-4599	220	29	.	.	PUNCT
ejpam-4599	221	1	(	(	PUNCT
ejpam-4599	221	2	49	49	NUM
ejpam-4599	221	3	)	)	PUNCT
ejpam-4599	221	4	.	.	PUNCT
ejpam-4599	222	1	figure	figure	VERB
ejpam-4599	222	2	2	2	NUM
ejpam-4599	222	3	:	:	PUNCT
ejpam-4599	222	4	the	the	DET
ejpam-4599	222	5	exact	exact	ADJ
ejpam-4599	222	6	solution	solution	NOUN
ejpam-4599	222	7	of	of	ADP
ejpam-4599	222	8	the	the	DET
ejpam-4599	222	9	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	222	10	mkdv	mkdv	NOUN
ejpam-4599	222	11	equation	equation	NOUN
ejpam-4599	222	12	(	(	PUNCT
ejpam-4599	222	13	36	36	NUM
ejpam-4599	222	14	)	)	PUNCT
ejpam-4599	222	15	is	be	AUX
ejpam-4599	222	16	a	a	DET
ejpam-4599	222	17	polynomial	polynomial	ADJ
ejpam-4599	222	18	type	type	NOUN
ejpam-4599	222	19	.	.	PUNCT
ejpam-4599	223	1	in	in	ADP
ejpam-4599	223	2	the	the	DET
ejpam-4599	223	3	next	next	ADJ
ejpam-4599	223	4	example	example	NOUN
ejpam-4599	223	5	,	,	PUNCT
ejpam-4599	223	6	we	we	PRON
ejpam-4599	223	7	apply	apply	VERB
ejpam-4599	223	8	the	the	DET
ejpam-4599	223	9	k	k	PROPN
ejpam-4599	223	10	-	-	PROPN
ejpam-4599	223	11	mi	mi	PROPN
ejpam-4599	223	12	method	method	NOUN
ejpam-4599	223	13	on	on	ADP
ejpam-4599	223	14	the	the	DET
ejpam-4599	223	15	nonlinear	nonlinear	ADJ
ejpam-4599	223	16	homogeneous	homogeneous	ADJ
ejpam-4599	223	17	and	and	CCONJ
ejpam-4599	223	18	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	223	19	fkdv	fkdv	NOUN
ejpam-4599	223	20	eq	eq	ADP
ejpam-4599	223	21	.	.	PROPN
ejpam-4599	224	1	a.j	a.j	PROPN
ejpam-4599	224	2	.	.	PROPN
ejpam-4599	224	3	mohammed	mohammed	PROPN
ejpam-4599	224	4	,	,	PUNCT
ejpam-4599	224	5	s.t	s.t	PROPN
ejpam-4599	224	6	.	.	PROPN
ejpam-4599	224	7	al	al	PROPN
ejpam-4599	224	8	-	-	PUNCT
ejpam-4599	224	9	ramadhani	ramadhani	ADJ
ejpam-4599	224	10	,	,	PUNCT
ejpam-4599	224	11	r.m.h	r.m.h	NOUN
ejpam-4599	224	12	.	.	PUNCT
ejpam-4599	224	13	darghoth	darghoth	PROPN
ejpam-4599	224	14	/	/	PUNCT
ejpam-4599	224	15	eur	eur	PROPN
ejpam-4599	224	16	.	.	PUNCT
ejpam-4599	225	1	j.	j.	PROPN
ejpam-4599	225	2	pure	pure	PROPN
ejpam-4599	225	3	appl	appl	PROPN
ejpam-4599	225	4	.	.	PROPN
ejpam-4599	225	5	math	math	PROPN
ejpam-4599	225	6	,	,	PUNCT
ejpam-4599	225	7	15	15	NUM
ejpam-4599	225	8	(	(	PUNCT
ejpam-4599	225	9	4	4	NUM
ejpam-4599	225	10	)	)	PUNCT
ejpam-4599	225	11	(	(	PUNCT
ejpam-4599	225	12	2022	2022	NUM
ejpam-4599	225	13	)	)	PUNCT
ejpam-4599	225	14	,	,	PUNCT
ejpam-4599	225	15	1917	1917	NUM
ejpam-4599	225	16	-	-	SYM
ejpam-4599	225	17	1936	1936	NUM
ejpam-4599	225	18	1926	1926	NUM
ejpam-4599	225	19	example	example	NOUN
ejpam-4599	225	20	3	3	X
ejpam-4599	225	21	.	.	X
ejpam-4599	225	22	consider	consider	VERB
ejpam-4599	225	23	the	the	DET
ejpam-4599	225	24	nonlinear	nonlinear	ADJ
ejpam-4599	225	25	homogeneous	homogeneous	ADJ
ejpam-4599	225	26	fkdv	fkdv	NOUN
ejpam-4599	225	27	eq	eq	ADJ
ejpam-4599	225	28	.	.	PROPN
ejpam-4599	226	1	wt(x	wt(x	PROPN
ejpam-4599	226	2	,	,	PUNCT
ejpam-4599	226	3	t	t	PROPN
ejpam-4599	226	4	)	)	PUNCT
ejpam-4599	226	5	+	+	NUM
ejpam-4599	226	6	w2	w2	PROPN
ejpam-4599	226	7	wxx(x	wxx(x	PROPN
ejpam-4599	226	8	,	,	PUNCT
ejpam-4599	226	9	t	t	PROPN
ejpam-4599	226	10	)	)	PUNCT
ejpam-4599	227	1	+	+	SYM
ejpam-4599	227	2	wxw3x(x	wxw3x(x	NOUN
ejpam-4599	227	3	,	,	PUNCT
ejpam-4599	227	4	t)−	t)−	PROPN
ejpam-4599	227	5	20w2	20w2	NUM
ejpam-4599	227	6	w3x(x	w3x(x	NOUN
ejpam-4599	227	7	,	,	PUNCT
ejpam-4599	227	8	t	t	PROPN
ejpam-4599	227	9	)	)	PUNCT
ejpam-4599	227	10	+	+	SYM
ejpam-4599	227	11	w5x(x	w5x(x	PROPN
ejpam-4599	227	12	,	,	PUNCT
ejpam-4599	227	13	t	t	PROPN
ejpam-4599	227	14	)	)	PUNCT
ejpam-4599	227	15	=	=	SYM
ejpam-4599	228	1	0	0	NUM
ejpam-4599	228	2	,	,	PUNCT
ejpam-4599	228	3	(	(	PUNCT
ejpam-4599	228	4	50	50	NUM
ejpam-4599	228	5	)	)	PUNCT
ejpam-4599	228	6	with	with	ADP
ejpam-4599	228	7	the	the	DET
ejpam-4599	228	8	ic	ic	PROPN
ejpam-4599	228	9	w(x	w(x	PROPN
ejpam-4599	228	10	,	,	PUNCT
ejpam-4599	228	11	0	0	NUM
ejpam-4599	228	12	)	)	PUNCT
ejpam-4599	228	13	=	=	SYM
ejpam-4599	228	14	1	1	NUM
ejpam-4599	228	15	x	x	NOUN
ejpam-4599	228	16	,	,	PUNCT
ejpam-4599	228	17	x	x	X
ejpam-4599	228	18	̸=	̸=	PROPN
ejpam-4599	228	19	0	0	NUM
ejpam-4599	228	20	.	.	PUNCT
ejpam-4599	229	1	that	that	PRON
ejpam-4599	229	2	is	be	AUX
ejpam-4599	229	3	clear	clear	ADJ
ejpam-4599	229	4	from	from	ADP
ejpam-4599	229	5	equation	equation	NOUN
ejpam-4599	229	6	(	(	PUNCT
ejpam-4599	229	7	50	50	NUM
ejpam-4599	229	8	)	)	PUNCT
ejpam-4599	229	9	,	,	PUNCT
ejpam-4599	229	10	we	we	PRON
ejpam-4599	229	11	have	have	VERB
ejpam-4599	229	12	ẇ	ẇ	NOUN
ejpam-4599	229	13	=	=	SYM
ejpam-4599	229	14	∂w(x	∂w(x	PROPN
ejpam-4599	229	15	,	,	PUNCT
ejpam-4599	229	16	t	t	PROPN
ejpam-4599	229	17	)	)	PUNCT
ejpam-4599	229	18	∂t	∂t	PROPN
ejpam-4599	229	19	,	,	PUNCT
ejpam-4599	229	20	m	m	VERB
ejpam-4599	230	1	[	[	X
ejpam-4599	230	2	w(x	w(x	NOUN
ejpam-4599	230	3	,	,	PUNCT
ejpam-4599	230	4	t	t	PROPN
ejpam-4599	230	5	)	)	PUNCT
ejpam-4599	230	6	]	]	PUNCT
ejpam-4599	231	1	=	=	SYM
ejpam-4599	231	2	w2	w2	PROPN
ejpam-4599	231	3	wxx(x	wxx(x	PROPN
ejpam-4599	231	4	,	,	PUNCT
ejpam-4599	231	5	t)+wxw3x(x	t)+wxw3x(x	ADJ
ejpam-4599	231	6	,	,	PUNCT
ejpam-4599	231	7	t)−20w2	t)−20w2	NOUN
ejpam-4599	231	8	w3x(x	w3x(x	NOUN
ejpam-4599	231	9	,	,	PUNCT
ejpam-4599	231	10	t)+w5x(x	t)+w5x(x	PROPN
ejpam-4599	231	11	,	,	PUNCT
ejpam-4599	231	12	t	t	PROPN
ejpam-4599	231	13	)	)	PUNCT
ejpam-4599	231	14	,	,	PUNCT
ejpam-4599	231	15	andg(x	andg(x	PROPN
ejpam-4599	231	16	,	,	PUNCT
ejpam-4599	231	17	t	t	PROPN
ejpam-4599	231	18	)	)	PUNCT
ejpam-4599	231	19	=	=	SYM
ejpam-4599	231	20	0	0	NUM
ejpam-4599	231	21	,	,	PUNCT
ejpam-4599	231	22	(	(	PUNCT
ejpam-4599	231	23	51	51	NUM
ejpam-4599	231	24	)	)	PUNCT
ejpam-4599	231	25	following	follow	VERB
ejpam-4599	231	26	the	the	DET
ejpam-4599	231	27	same	same	ADJ
ejpam-4599	231	28	structures	structure	NOUN
ejpam-4599	231	29	as	as	ADP
ejpam-4599	231	30	above	above	ADP
ejpam-4599	231	31	examples	example	NOUN
ejpam-4599	231	32	,	,	PUNCT
ejpam-4599	231	33	the	the	DET
ejpam-4599	231	34	qn	qn	NOUN
ejpam-4599	231	35	is	be	AUX
ejpam-4599	231	36	m	m	PRON
ejpam-4599	231	37	[	[	X
ejpam-4599	231	38	wn(x	wn(x	X
ejpam-4599	231	39	,	,	PUNCT
ejpam-4599	231	40	t	t	PROPN
ejpam-4599	231	41	)	)	PUNCT
ejpam-4599	231	42	]	]	PUNCT
ejpam-4599	232	1	=	=	PUNCT
ejpam-4599	232	2	w2	w2	NOUN
ejpam-4599	232	3	n	n	CCONJ
ejpam-4599	232	4	w{n	w{n	NOUN
ejpam-4599	232	5	,	,	PUNCT
ejpam-4599	232	6	xx}(x	xx}(x	NOUN
ejpam-4599	232	7	,	,	PUNCT
ejpam-4599	232	8	t	t	PROPN
ejpam-4599	232	9	)	)	PUNCT
ejpam-4599	232	10	+	+	CCONJ
ejpam-4599	232	11	w{n	w{n	NOUN
ejpam-4599	232	12	,	,	PUNCT
ejpam-4599	232	13	x}w{n,3x}(x	x}w{n,3x}(x	PROPN
ejpam-4599	232	14	,	,	PUNCT
ejpam-4599	232	15	t)−	t)−	PROPN
ejpam-4599	232	16	20w2	20w2	NUM
ejpam-4599	232	17	nw{n,3x}(x	nw{n,3x}(x	PROPN
ejpam-4599	232	18	,	,	PUNCT
ejpam-4599	232	19	t)+	t)+	ADJ
ejpam-4599	232	20	w{n,5x}(x	w{n,5x}(x	NOUN
ejpam-4599	232	21	,	,	PUNCT
ejpam-4599	232	22	t	t	PROPN
ejpam-4599	232	23	)	)	PUNCT
ejpam-4599	232	24	=	=	PUNCT
ejpam-4599	232	25	qn(x	qn(x	X
ejpam-4599	232	26	,	,	PUNCT
ejpam-4599	232	27	t	t	PROPN
ejpam-4599	232	28	)	)	PUNCT
ejpam-4599	232	29	+	+	NOUN
ejpam-4599	232	30	o(tn+1	o(tn+1	ADJ
ejpam-4599	232	31	)	)	PUNCT
ejpam-4599	232	32	,	,	PUNCT
ejpam-4599	232	33	(	(	PUNCT
ejpam-4599	232	34	52	52	NUM
ejpam-4599	232	35	)	)	PUNCT
ejpam-4599	232	36	when	when	SCONJ
ejpam-4599	232	37	n	n	X
ejpam-4599	232	38	=	=	SYM
ejpam-4599	232	39	0	0	NUM
ejpam-4599	232	40	,	,	PUNCT
ejpam-4599	232	41	η0	η0	NOUN
ejpam-4599	232	42	=	=	SYM
ejpam-4599	232	43	w0	w0	PROPN
ejpam-4599	232	44	=	=	SYM
ejpam-4599	232	45	1	1	NUM
ejpam-4599	232	46	x	x	NOUN
ejpam-4599	232	47	,	,	PUNCT
ejpam-4599	232	48	q0(x	q0(x	PROPN
ejpam-4599	232	49	,	,	PUNCT
ejpam-4599	232	50	t	t	PROPN
ejpam-4599	232	51	)	)	PUNCT
ejpam-4599	232	52	=	=	PUNCT
ejpam-4599	233	1	−1	−1	NOUN
ejpam-4599	233	2	x2	x2	NOUN
ejpam-4599	233	3	,	,	PUNCT
ejpam-4599	233	4	(	(	PUNCT
ejpam-4599	233	5	53	53	NUM
ejpam-4599	233	6	)	)	PUNCT
ejpam-4599	233	7	then	then	ADV
ejpam-4599	233	8	,	,	PUNCT
ejpam-4599	233	9	η1	η1	NOUN
ejpam-4599	233	10	=	=	SYM
ejpam-4599	233	11	t	t	X
ejpam-4599	233	12	[	[	X
ejpam-4599	233	13	w0]−k−1[υk[(q0	w0]−k−1[υk[(q0	PROPN
ejpam-4599	233	14	−q−1	−q−1	NUM
ejpam-4599	233	15	)	)	PUNCT
ejpam-4599	233	16	]	]	PUNCT
ejpam-4599	233	17	]	]	PUNCT
ejpam-4599	233	18	=	=	SYM
ejpam-4599	234	1	t	t	X
ejpam-4599	234	2	x2	x2	PROPN
ejpam-4599	234	3	(	(	PUNCT
ejpam-4599	234	4	54	54	NUM
ejpam-4599	234	5	)	)	PUNCT
ejpam-4599	234	6	therefore	therefore	ADV
ejpam-4599	234	7	,	,	PUNCT
ejpam-4599	234	8	the	the	DET
ejpam-4599	234	9	first	first	ADJ
ejpam-4599	234	10	iteration	iteration	NOUN
ejpam-4599	234	11	w1	w1	NOUN
ejpam-4599	234	12	is	be	AUX
ejpam-4599	234	13	w1(x	w1(x	PROPN
ejpam-4599	234	14	,	,	PUNCT
ejpam-4599	234	15	t	t	PROPN
ejpam-4599	234	16	)	)	PUNCT
ejpam-4599	235	1	=	=	NOUN
ejpam-4599	235	2	η0	η0	NOUN
ejpam-4599	235	3	+	+	CCONJ
ejpam-4599	235	4	η1	η1	NOUN
ejpam-4599	235	5	=	=	SYM
ejpam-4599	235	6	1	1	NUM
ejpam-4599	235	7	x	x	SYM
ejpam-4599	235	8	+	+	NUM
ejpam-4599	235	9	t	t	X
ejpam-4599	235	10	x2	x2	INTJ
ejpam-4599	235	11	.	.	PUNCT
ejpam-4599	236	1	(	(	PUNCT
ejpam-4599	236	2	55	55	NUM
ejpam-4599	236	3	)	)	PUNCT
ejpam-4599	236	4	when	when	SCONJ
ejpam-4599	236	5	n	n	X
ejpam-4599	236	6	=	=	SYM
ejpam-4599	236	7	1	1	NUM
ejpam-4599	236	8	,	,	PUNCT
ejpam-4599	236	9	q1(x	q1(x	NOUN
ejpam-4599	236	10	,	,	PUNCT
ejpam-4599	236	11	t	t	PROPN
ejpam-4599	236	12	)	)	PUNCT
ejpam-4599	236	13	=	=	PUNCT
ejpam-4599	236	14	(	(	PUNCT
ejpam-4599	236	15	6x+	6x+	NUM
ejpam-4599	236	16	480	480	NUM
ejpam-4599	236	17	)	)	PUNCT
ejpam-4599	236	18	t3	t3	NOUN
ejpam-4599	236	19	x9	x9	PROPN
ejpam-4599	236	20	+	+	CCONJ
ejpam-4599	236	21	(	(	PUNCT
ejpam-4599	236	22	2x2	2x2	NUM
ejpam-4599	236	23	+	+	NUM
ejpam-4599	236	24	1080x	1080x	NOUN
ejpam-4599	236	25	)	)	PUNCT
ejpam-4599	236	26	t2	t2	NOUN
ejpam-4599	236	27	x9︸	x9︸	PROPN
ejpam-4599	236	28	︷︷	︷︷	PROPN
ejpam-4599	236	29	︸	︸	ADP
ejpam-4599	237	1	neglect	neglect	NOUN
ejpam-4599	237	2	−2	−2	NOUN
ejpam-4599	237	3	t	t	NOUN
ejpam-4599	237	4	x3	x3	NOUN
ejpam-4599	237	5	−	−	PROPN
ejpam-4599	238	1	1	1	NUM
ejpam-4599	238	2	x2	x2	NOUN
ejpam-4599	238	3	,	,	PUNCT
ejpam-4599	238	4	(	(	PUNCT
ejpam-4599	238	5	56	56	NUM
ejpam-4599	238	6	)	)	PUNCT
ejpam-4599	238	7	so	so	ADV
ejpam-4599	238	8	,	,	PUNCT
ejpam-4599	238	9	q1	q1	PROPN
ejpam-4599	238	10	=	=	SYM
ejpam-4599	238	11	−2	−2	PROPN
ejpam-4599	238	12	t	t	NOUN
ejpam-4599	239	1	x3	x3	NOUN
ejpam-4599	239	2	−	−	PROPN
ejpam-4599	240	1	1	1	NUM
ejpam-4599	240	2	x2	x2	NOUN
ejpam-4599	240	3	,	,	PUNCT
ejpam-4599	240	4	then	then	ADV
ejpam-4599	240	5	η2	η2	VERB
ejpam-4599	240	6	=	=	PROPN
ejpam-4599	240	7	t	t	X
ejpam-4599	240	8	[	[	X
ejpam-4599	240	9	w1	w1	NOUN
ejpam-4599	240	10	]	]	PUNCT
ejpam-4599	240	11	=	=	PUNCT
ejpam-4599	240	12	−k−1[υk[(q1	−k−1[υk[(q1	PROPN
ejpam-4599	240	13	−q0	−q0	PROPN
ejpam-4599	240	14	)	)	PUNCT
ejpam-4599	240	15	]	]	PUNCT
ejpam-4599	240	16	]	]	PUNCT
ejpam-4599	240	17	=	=	SYM
ejpam-4599	240	18	t2	t2	NOUN
ejpam-4599	240	19	x3	x3	INTJ
ejpam-4599	240	20	,	,	PUNCT
ejpam-4599	240	21	(	(	PUNCT
ejpam-4599	240	22	57	57	NUM
ejpam-4599	240	23	)	)	PUNCT
ejpam-4599	240	24	therefore	therefore	ADV
ejpam-4599	240	25	,	,	PUNCT
ejpam-4599	240	26	the	the	DET
ejpam-4599	240	27	second	second	ADJ
ejpam-4599	240	28	iteration	iteration	NOUN
ejpam-4599	240	29	w2	w2	NOUN
ejpam-4599	240	30	is	be	AUX
ejpam-4599	240	31	w2(x	w2(x	PROPN
ejpam-4599	240	32	,	,	PUNCT
ejpam-4599	240	33	t	t	PROPN
ejpam-4599	240	34	)	)	PUNCT
ejpam-4599	241	1	=	=	NOUN
ejpam-4599	241	2	η0	η0	NOUN
ejpam-4599	241	3	+	+	CCONJ
ejpam-4599	241	4	η1	η1	NOUN
ejpam-4599	241	5	+	+	CCONJ
ejpam-4599	241	6	η2	η2	ADJ
ejpam-4599	241	7	=	=	SYM
ejpam-4599	241	8	1	1	NUM
ejpam-4599	241	9	x	x	SYM
ejpam-4599	241	10	+	+	NUM
ejpam-4599	241	11	t	t	NOUN
ejpam-4599	241	12	x2	x2	NOUN
ejpam-4599	242	1	+	+	CCONJ
ejpam-4599	242	2	t2	t2	NOUN
ejpam-4599	242	3	x3	x3	ADJ
ejpam-4599	242	4	.	.	PUNCT
ejpam-4599	243	1	(	(	PUNCT
ejpam-4599	243	2	58	58	NUM
ejpam-4599	243	3	)	)	PUNCT
ejpam-4599	243	4	when	when	SCONJ
ejpam-4599	243	5	n	n	PROPN
ejpam-4599	243	6	=	=	SYM
ejpam-4599	243	7	2	2	NUM
ejpam-4599	243	8	q2(x	q2(x	PROPN
ejpam-4599	243	9	,	,	PUNCT
ejpam-4599	243	10	t	t	PROPN
ejpam-4599	243	11	)	)	PUNCT
ejpam-4599	243	12	=	=	PUNCT
ejpam-4599	244	1	−	−	PROPN
ejpam-4599	244	2	1	1	NUM
ejpam-4599	244	3	x2	x2	NOUN
ejpam-4599	244	4	−	−	NOUN
ejpam-4599	244	5	2	2	NUM
ejpam-4599	244	6	t	t	NOUN
ejpam-4599	244	7	x3	x3	NOUN
ejpam-4599	244	8	−	−	PROPN
ejpam-4599	244	9	3	3	NUM
ejpam-4599	244	10	t2	t2	PROPN
ejpam-4599	244	11	x4	x4	PROPN
ejpam-4599	244	12	,	,	PUNCT
ejpam-4599	244	13	(	(	PUNCT
ejpam-4599	244	14	59	59	NUM
ejpam-4599	244	15	)	)	PUNCT
ejpam-4599	244	16	a.j	a.j	PROPN
ejpam-4599	244	17	.	.	PROPN
ejpam-4599	244	18	mohammed	mohammed	PROPN
ejpam-4599	244	19	,	,	PUNCT
ejpam-4599	244	20	s.t	s.t	PROPN
ejpam-4599	244	21	.	.	PROPN
ejpam-4599	244	22	al	al	PROPN
ejpam-4599	244	23	-	-	PUNCT
ejpam-4599	244	24	ramadhani	ramadhani	ADJ
ejpam-4599	244	25	,	,	PUNCT
ejpam-4599	244	26	r.m.h	r.m.h	NOUN
ejpam-4599	244	27	.	.	PUNCT
ejpam-4599	244	28	darghoth	darghoth	PROPN
ejpam-4599	244	29	/	/	PUNCT
ejpam-4599	244	30	eur	eur	PROPN
ejpam-4599	244	31	.	.	PUNCT
ejpam-4599	245	1	j.	j.	PROPN
ejpam-4599	245	2	pure	pure	PROPN
ejpam-4599	245	3	appl	appl	PROPN
ejpam-4599	245	4	.	.	PROPN
ejpam-4599	245	5	math	math	PROPN
ejpam-4599	245	6	,	,	PUNCT
ejpam-4599	245	7	15	15	NUM
ejpam-4599	245	8	(	(	PUNCT
ejpam-4599	245	9	4	4	NUM
ejpam-4599	245	10	)	)	PUNCT
ejpam-4599	245	11	(	(	PUNCT
ejpam-4599	245	12	2022	2022	NUM
ejpam-4599	245	13	)	)	PUNCT
ejpam-4599	245	14	,	,	PUNCT
ejpam-4599	245	15	1917	1917	NUM
ejpam-4599	245	16	-	-	SYM
ejpam-4599	245	17	1936	1936	NUM
ejpam-4599	245	18	1927	1927	NUM
ejpam-4599	246	1	so	so	ADV
ejpam-4599	246	2	,	,	PUNCT
ejpam-4599	246	3	η3	η3	PROPN
ejpam-4599	246	4	=	=	PROPN
ejpam-4599	246	5	t	t	X
ejpam-4599	246	6	[	[	X
ejpam-4599	246	7	w2	w2	NOUN
ejpam-4599	246	8	]	]	X
ejpam-4599	246	9	=	=	PUNCT
ejpam-4599	246	10	−k−1[υk[(q2	−k−1[υk[(q2	PROPN
ejpam-4599	246	11	−q1	−q1	PROPN
ejpam-4599	246	12	)	)	PUNCT
ejpam-4599	246	13	]	]	PUNCT
ejpam-4599	246	14	]	]	PUNCT
ejpam-4599	247	1	=	=	SYM
ejpam-4599	247	2	t3	t3	PROPN
ejpam-4599	247	3	x4	x4	PROPN
ejpam-4599	247	4	.	.	PUNCT
ejpam-4599	248	1	(	(	PUNCT
ejpam-4599	248	2	60	60	NUM
ejpam-4599	248	3	)	)	PUNCT
ejpam-4599	248	4	then	then	ADV
ejpam-4599	248	5	,	,	PUNCT
ejpam-4599	248	6	the	the	DET
ejpam-4599	248	7	third	third	ADJ
ejpam-4599	248	8	iteration	iteration	NOUN
ejpam-4599	248	9	w3	w3	PROPN
ejpam-4599	248	10	is	be	AUX
ejpam-4599	248	11	w3(x	w3(x	PROPN
ejpam-4599	248	12	,	,	PUNCT
ejpam-4599	248	13	t	t	NOUN
ejpam-4599	248	14	)	)	PUNCT
ejpam-4599	249	1	=	=	NOUN
ejpam-4599	249	2	η0	η0	NOUN
ejpam-4599	249	3	+	+	CCONJ
ejpam-4599	249	4	η1	η1	NOUN
ejpam-4599	249	5	+	+	CCONJ
ejpam-4599	249	6	η2	η2	ADJ
ejpam-4599	249	7	+	+	CCONJ
ejpam-4599	249	8	η3	η3	NOUN
ejpam-4599	249	9	=	=	PUNCT
ejpam-4599	249	10	1	1	NUM
ejpam-4599	249	11	x	x	SYM
ejpam-4599	249	12	+	+	NUM
ejpam-4599	249	13	t	t	NOUN
ejpam-4599	249	14	x2	x2	NOUN
ejpam-4599	250	1	+	+	CCONJ
ejpam-4599	250	2	t2	t2	NOUN
ejpam-4599	250	3	x3	x3	PROPN
ejpam-4599	250	4	+	+	CCONJ
ejpam-4599	250	5	t3	t3	PROPN
ejpam-4599	250	6	x4	x4	PROPN
ejpam-4599	250	7	.	.	PUNCT
ejpam-4599	251	1	(	(	PUNCT
ejpam-4599	251	2	61	61	NUM
ejpam-4599	251	3	)	)	PUNCT
ejpam-4599	251	4	finally	finally	ADV
ejpam-4599	251	5	,	,	PUNCT
ejpam-4599	251	6	when	when	SCONJ
ejpam-4599	251	7	n	n	X
ejpam-4599	251	8	→	→	SYM
ejpam-4599	251	9	∞	∞	PROPN
ejpam-4599	251	10	,	,	PUNCT
ejpam-4599	251	11	the	the	DET
ejpam-4599	251	12	series	series	NOUN
ejpam-4599	251	13	solution	solution	NOUN
ejpam-4599	251	14	(	(	PUNCT
ejpam-4599	251	15	61	61	NUM
ejpam-4599	251	16	)	)	PUNCT
ejpam-4599	251	17	of	of	ADP
ejpam-4599	251	18	the	the	DET
ejpam-4599	251	19	homogeneous	homogeneous	ADJ
ejpam-4599	251	20	fkdv	fkdv	NOUN
ejpam-4599	251	21	eq	eq	ADP
ejpam-4599	251	22	.	.	PUNCT
ejpam-4599	252	1	(	(	PUNCT
ejpam-4599	252	2	50	50	NUM
ejpam-4599	252	3	)	)	PUNCT
ejpam-4599	252	4	w(x	w(x	PROPN
ejpam-4599	252	5	,	,	PUNCT
ejpam-4599	252	6	t	t	PROPN
ejpam-4599	252	7	)	)	PUNCT
ejpam-4599	253	1	=	=	VERB
ejpam-4599	253	2	lim	lim	PROPN
ejpam-4599	253	3	n→∞	n→∞	X
ejpam-4599	254	1	n∑	n∑	ADJ
ejpam-4599	254	2	k=0	k=0	PROPN
ejpam-4599	254	3	ηk	ηk	AUX
ejpam-4599	254	4	=	=	SYM
ejpam-4599	254	5	1	1	NUM
ejpam-4599	254	6	x	x	SYM
ejpam-4599	254	7	+	+	NUM
ejpam-4599	254	8	t	t	NOUN
ejpam-4599	254	9	x2	x2	NOUN
ejpam-4599	255	1	+	+	CCONJ
ejpam-4599	255	2	t2	t2	NOUN
ejpam-4599	255	3	x3	x3	PROPN
ejpam-4599	255	4	+	+	CCONJ
ejpam-4599	255	5	t3	t3	PROPN
ejpam-4599	255	6	x4	x4	PROPN
ejpam-4599	256	1	+	+	X
ejpam-4599	256	2	.	.	PUNCT
ejpam-4599	256	3	.	.	PUNCT
ejpam-4599	256	4	.	.	PUNCT
ejpam-4599	257	1	,	,	PUNCT
ejpam-4599	257	2	(	(	PUNCT
ejpam-4599	257	3	62	62	NUM
ejpam-4599	257	4	)	)	PUNCT
ejpam-4599	257	5	when	when	SCONJ
ejpam-4599	257	6	we	we	PRON
ejpam-4599	257	7	take	take	VERB
ejpam-4599	257	8	1	1	NUM
ejpam-4599	257	9	x	x	PUNCT
ejpam-4599	257	10	as	as	ADP
ejpam-4599	257	11	a	a	DET
ejpam-4599	257	12	common	common	ADJ
ejpam-4599	257	13	factor	factor	NOUN
ejpam-4599	257	14	from	from	ADP
ejpam-4599	257	15	eq	eq	PROPN
ejpam-4599	257	16	.	.	PUNCT
ejpam-4599	258	1	(	(	PUNCT
ejpam-4599	258	2	62	62	NUM
ejpam-4599	258	3	)	)	PUNCT
ejpam-4599	258	4	,	,	PUNCT
ejpam-4599	258	5	we	we	PRON
ejpam-4599	258	6	have	have	VERB
ejpam-4599	258	7	w(x	w(x	PROPN
ejpam-4599	258	8	,	,	PUNCT
ejpam-4599	258	9	t	t	PROPN
ejpam-4599	258	10	)	)	PUNCT
ejpam-4599	258	11	=	=	SYM
ejpam-4599	259	1	1	1	NUM
ejpam-4599	259	2	x	x	SYM
ejpam-4599	259	3	(	(	PUNCT
ejpam-4599	259	4	1	1	NUM
ejpam-4599	259	5	+	+	NUM
ejpam-4599	259	6	t	t	NOUN
ejpam-4599	259	7	x	x	PROPN
ejpam-4599	260	1	+	+	NUM
ejpam-4599	260	2	t	t	X
ejpam-4599	260	3	x2	x2	NOUN
ejpam-4599	261	1	+	+	CCONJ
ejpam-4599	261	2	.	.	PUNCT
ejpam-4599	261	3	.	.	PUNCT
ejpam-4599	261	4	.	.	PUNCT
ejpam-4599	261	5	)	)	PUNCT
ejpam-4599	262	1	,	,	PUNCT
ejpam-4599	262	2	(	(	PUNCT
ejpam-4599	262	3	63	63	NUM
ejpam-4599	262	4	)	)	PUNCT
ejpam-4599	262	5	the	the	DET
ejpam-4599	262	6	second	second	ADJ
ejpam-4599	262	7	part	part	NOUN
ejpam-4599	262	8	of	of	ADP
ejpam-4599	262	9	eq.(63	eq.(63	NOUN
ejpam-4599	262	10	)	)	PUNCT
ejpam-4599	262	11	is	be	AUX
ejpam-4599	262	12	the	the	DET
ejpam-4599	262	13	taylor	taylor	PROPN
ejpam-4599	262	14	’s	’s	PART
ejpam-4599	262	15	expansion	expansion	NOUN
ejpam-4599	262	16	of	of	ADP
ejpam-4599	262	17	,	,	PUNCT
ejpam-4599	262	18	w(x	w(x	PROPN
ejpam-4599	262	19	,	,	PUNCT
ejpam-4599	262	20	t	t	PROPN
ejpam-4599	262	21	)	)	PUNCT
ejpam-4599	262	22	=	=	SYM
ejpam-4599	262	23	1	1	NUM
ejpam-4599	262	24	x(1−	x(1−	PROPN
ejpam-4599	262	25	t	t	PROPN
ejpam-4599	262	26	x	x	PROPN
ejpam-4599	262	27	)	)	PUNCT
ejpam-4599	262	28	,	,	PUNCT
ejpam-4599	262	29	then	then	ADV
ejpam-4599	262	30	,	,	PUNCT
ejpam-4599	262	31	the	the	DET
ejpam-4599	262	32	taylor	taylor	PROPN
ejpam-4599	262	33	’s	’s	PART
ejpam-4599	262	34	expansion	expansion	NOUN
ejpam-4599	262	35	of	of	ADP
ejpam-4599	262	36	the	the	DET
ejpam-4599	262	37	exact	exact	ADJ
ejpam-4599	262	38	solution	solution	NOUN
ejpam-4599	262	39	is	be	AUX
ejpam-4599	262	40	w(x	w(x	PROPN
ejpam-4599	262	41	,	,	PUNCT
ejpam-4599	262	42	t	t	PROPN
ejpam-4599	262	43	)	)	PUNCT
ejpam-4599	262	44	=	=	SYM
ejpam-4599	262	45	1	1	NUM
ejpam-4599	262	46	x−	x−	PROPN
ejpam-4599	262	47	t	t	PROPN
ejpam-4599	262	48	.	.	PUNCT
ejpam-4599	263	1	(	(	PUNCT
ejpam-4599	263	2	64	64	NUM
ejpam-4599	263	3	)	)	PUNCT
ejpam-4599	263	4	equation	equation	NOUN
ejpam-4599	263	5	(	(	PUNCT
ejpam-4599	263	6	50	50	NUM
ejpam-4599	263	7	)	)	PUNCT
ejpam-4599	263	8	was	be	AUX
ejpam-4599	263	9	solved	solve	VERB
ejpam-4599	263	10	in	in	ADP
ejpam-4599	263	11	[	[	X
ejpam-4599	263	12	14	14	NUM
ejpam-4599	263	13	,	,	PUNCT
ejpam-4599	263	14	20	20	NUM
ejpam-4599	263	15	]	]	PUNCT
ejpam-4599	263	16	,	,	PUNCT
ejpam-4599	263	17	we	we	PRON
ejpam-4599	263	18	have	have	AUX
ejpam-4599	263	19	reached	reach	VERB
ejpam-4599	263	20	the	the	DET
ejpam-4599	263	21	same	same	ADJ
ejpam-4599	263	22	result	result	NOUN
ejpam-4599	263	23	with	with	ADP
ejpam-4599	263	24	the	the	DET
ejpam-4599	263	25	k	k	NOUN
ejpam-4599	263	26	-	-	PUNCT
ejpam-4599	263	27	im	im	PROPN
ejpam-4599	263	28	method	method	NOUN
ejpam-4599	263	29	.	.	PUNCT
ejpam-4599	264	1	according	accord	VERB
ejpam-4599	264	2	to	to	ADP
ejpam-4599	264	3	taylor	taylor	PROPN
ejpam-4599	264	4	’s	’s	PART
ejpam-4599	264	5	series	series	PROPN
ejpam-4599	264	6	,	,	PUNCT
ejpam-4599	264	7	figure	figure	NOUN
ejpam-4599	264	8	(	(	PUNCT
ejpam-4599	264	9	3	3	NUM
ejpam-4599	264	10	)	)	PUNCT
ejpam-4599	264	11	display	display	VERB
ejpam-4599	264	12	the	the	DET
ejpam-4599	264	13	exact	exact	ADJ
ejpam-4599	264	14	solution	solution	NOUN
ejpam-4599	264	15	of	of	ADP
ejpam-4599	264	16	the	the	DET
ejpam-4599	264	17	homogeneous	homogeneous	ADJ
ejpam-4599	264	18	fkdv	fkdv	NOUN
ejpam-4599	264	19	eq	eq	ADP
ejpam-4599	264	20	.	.	PUNCT
ejpam-4599	265	1	(	(	PUNCT
ejpam-4599	265	2	50	50	NUM
ejpam-4599	265	3	)	)	PUNCT
ejpam-4599	265	4	.	.	PUNCT
ejpam-4599	266	1	the	the	DET
ejpam-4599	266	2	function	function	NOUN
ejpam-4599	266	3	in	in	ADP
ejpam-4599	266	4	eq	eq	ADP
ejpam-4599	266	5	.	.	PUNCT
ejpam-4599	266	6	(	(	PUNCT
ejpam-4599	266	7	64	64	NUM
ejpam-4599	266	8	)	)	PUNCT
ejpam-4599	266	9	has	have	VERB
ejpam-4599	266	10	singularities	singularity	NOUN
ejpam-4599	266	11	at	at	ADP
ejpam-4599	266	12	(	(	PUNCT
ejpam-4599	266	13	t	t	NOUN
ejpam-4599	266	14	=	=	SYM
ejpam-4599	266	15	x	x	NOUN
ejpam-4599	266	16	)	)	PUNCT
ejpam-4599	266	17	.	.	PUNCT
ejpam-4599	267	1	a.j	a.j	PROPN
ejpam-4599	267	2	.	.	PROPN
ejpam-4599	267	3	mohammed	mohammed	PROPN
ejpam-4599	267	4	,	,	PUNCT
ejpam-4599	267	5	s.t	s.t	PROPN
ejpam-4599	267	6	.	.	PROPN
ejpam-4599	267	7	al	al	PROPN
ejpam-4599	267	8	-	-	PUNCT
ejpam-4599	267	9	ramadhani	ramadhani	ADJ
ejpam-4599	267	10	,	,	PUNCT
ejpam-4599	267	11	r.m.h	r.m.h	NOUN
ejpam-4599	267	12	.	.	PUNCT
ejpam-4599	267	13	darghoth	darghoth	PROPN
ejpam-4599	267	14	/	/	PUNCT
ejpam-4599	267	15	eur	eur	PROPN
ejpam-4599	267	16	.	.	PUNCT
ejpam-4599	268	1	j.	j.	PROPN
ejpam-4599	268	2	pure	pure	PROPN
ejpam-4599	268	3	appl	appl	PROPN
ejpam-4599	268	4	.	.	PROPN
ejpam-4599	268	5	math	math	PROPN
ejpam-4599	268	6	,	,	PUNCT
ejpam-4599	268	7	15	15	NUM
ejpam-4599	268	8	(	(	PUNCT
ejpam-4599	268	9	4	4	NUM
ejpam-4599	268	10	)	)	PUNCT
ejpam-4599	268	11	(	(	PUNCT
ejpam-4599	268	12	2022	2022	NUM
ejpam-4599	268	13	)	)	PUNCT
ejpam-4599	268	14	,	,	PUNCT
ejpam-4599	268	15	1917	1917	NUM
ejpam-4599	268	16	-	-	SYM
ejpam-4599	268	17	1936	1936	NUM
ejpam-4599	268	18	1928	1928	NUM
ejpam-4599	268	19	figure	figure	NOUN
ejpam-4599	268	20	3	3	NUM
ejpam-4599	268	21	:	:	PUNCT
ejpam-4599	268	22	the	the	DET
ejpam-4599	268	23	singular	singular	ADJ
ejpam-4599	268	24	solution	solution	NOUN
ejpam-4599	268	25	of	of	ADP
ejpam-4599	268	26	the	the	DET
ejpam-4599	268	27	homogeneous	homogeneous	ADJ
ejpam-4599	268	28	fkdv	fkdv	NOUN
ejpam-4599	268	29	eq	eq	ADP
ejpam-4599	268	30	.	.	PUNCT
ejpam-4599	269	1	(	(	PUNCT
ejpam-4599	269	2	50	50	NUM
ejpam-4599	269	3	)	)	PUNCT
ejpam-4599	269	4	.	.	PUNCT
ejpam-4599	270	1	the	the	DET
ejpam-4599	270	2	solution	solution	NOUN
ejpam-4599	270	3	is	be	AUX
ejpam-4599	270	4	growing	grow	VERB
ejpam-4599	270	5	up	up	ADP
ejpam-4599	270	6	rapidly	rapidly	ADV
ejpam-4599	270	7	on	on	ADP
ejpam-4599	270	8	time	time	NOUN
ejpam-4599	270	9	.	.	PUNCT
ejpam-4599	271	1	in	in	ADP
ejpam-4599	271	2	addition	addition	NOUN
ejpam-4599	271	3	,	,	PUNCT
ejpam-4599	271	4	the	the	DET
ejpam-4599	271	5	solution	solution	NOUN
ejpam-4599	271	6	when	when	SCONJ
ejpam-4599	271	7	|x|	|x|	PROPN
ejpam-4599	271	8	→	→	SYM
ejpam-4599	271	9	∞	∞	PROPN
ejpam-4599	271	10	is	be	AUX
ejpam-4599	271	11	decay	decay	NOUN
ejpam-4599	271	12	to	to	ADP
ejpam-4599	271	13	zero	zero	NUM
ejpam-4599	271	14	.	.	PUNCT
ejpam-4599	272	1	example	example	NOUN
ejpam-4599	272	2	4	4	NUM
ejpam-4599	272	3	.	.	PUNCT
ejpam-4599	273	1	consider	consider	VERB
ejpam-4599	273	2	the	the	DET
ejpam-4599	273	3	nonlinear	nonlinear	ADJ
ejpam-4599	273	4	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	273	5	fkdv	fkdv	NOUN
ejpam-4599	273	6	eq	eq	ADJ
ejpam-4599	273	7	.	.	PROPN
ejpam-4599	274	1	wt(x	wt(x	PROPN
ejpam-4599	274	2	,	,	PUNCT
ejpam-4599	274	3	t	t	PROPN
ejpam-4599	274	4	)	)	PUNCT
ejpam-4599	275	1	+	+	CCONJ
ejpam-4599	275	2	w	w	NOUN
ejpam-4599	275	3	wx(x	wx(x	X
ejpam-4599	275	4	,	,	PUNCT
ejpam-4599	275	5	t	t	PROPN
ejpam-4599	275	6	)	)	PUNCT
ejpam-4599	276	1	+	+	CCONJ
ejpam-4599	276	2	w	w	X
ejpam-4599	276	3	w3x(x	w3x(x	PROPN
ejpam-4599	276	4	,	,	PUNCT
ejpam-4599	276	5	t	t	PROPN
ejpam-4599	276	6	)	)	PUNCT
ejpam-4599	277	1	+	+	SYM
ejpam-4599	277	2	w5x(x	w5x(x	PROPN
ejpam-4599	277	3	,	,	PUNCT
ejpam-4599	277	4	t	t	PROPN
ejpam-4599	277	5	)	)	PUNCT
ejpam-4599	277	6	=	=	SYM
ejpam-4599	277	7	2	2	NUM
ejpam-4599	277	8	cos(x+	cos(x+	PROPN
ejpam-4599	277	9	t	t	PROPN
ejpam-4599	277	10	)	)	PUNCT
ejpam-4599	277	11	,	,	PUNCT
ejpam-4599	277	12	(	(	PUNCT
ejpam-4599	277	13	65	65	NUM
ejpam-4599	277	14	)	)	PUNCT
ejpam-4599	277	15	with	with	ADP
ejpam-4599	277	16	the	the	DET
ejpam-4599	277	17	ic	ic	PROPN
ejpam-4599	277	18	w(x	w(x	PROPN
ejpam-4599	277	19	,	,	PUNCT
ejpam-4599	277	20	0	0	NUM
ejpam-4599	277	21	)	)	PUNCT
ejpam-4599	277	22	=	=	SYM
ejpam-4599	277	23	sin(x	sin(x	PROPN
ejpam-4599	277	24	)	)	PUNCT
ejpam-4599	277	25	.	.	PUNCT
ejpam-4599	278	1	compering	compere	VERB
ejpam-4599	278	2	(	(	PUNCT
ejpam-4599	278	3	65	65	NUM
ejpam-4599	278	4	)	)	PUNCT
ejpam-4599	278	5	to	to	ADP
ejpam-4599	278	6	eq	eq	NOUN
ejpam-4599	278	7	.	.	PUNCT
ejpam-4599	279	1	(	(	PUNCT
ejpam-4599	279	2	7	7	NUM
ejpam-4599	279	3	)	)	PUNCT
ejpam-4599	279	4	,	,	PUNCT
ejpam-4599	279	5	this	this	PRON
ejpam-4599	279	6	in	in	ADP
ejpam-4599	279	7	turn	turn	NOUN
ejpam-4599	279	8	gives	give	VERB
ejpam-4599	279	9	ẇ	ẇ	NOUN
ejpam-4599	279	10	=	=	SYM
ejpam-4599	279	11	∂w(x	∂w(x	PROPN
ejpam-4599	279	12	,	,	PUNCT
ejpam-4599	279	13	t	t	PROPN
ejpam-4599	279	14	)	)	PUNCT
ejpam-4599	279	15	∂t	∂t	PROPN
ejpam-4599	279	16	,	,	PUNCT
ejpam-4599	279	17	m	m	VERB
ejpam-4599	280	1	[	[	X
ejpam-4599	280	2	w(x	w(x	NOUN
ejpam-4599	280	3	,	,	PUNCT
ejpam-4599	280	4	t	t	PROPN
ejpam-4599	280	5	)	)	PUNCT
ejpam-4599	280	6	]	]	PUNCT
ejpam-4599	281	1	=	=	PUNCT
ejpam-4599	281	2	w	w	NOUN
ejpam-4599	281	3	wx(x	wx(x	AUX
ejpam-4599	281	4	,	,	PUNCT
ejpam-4599	281	5	t)+w	t)+w	PROPN
ejpam-4599	281	6	w3x(x	w3x(x	NOUN
ejpam-4599	281	7	,	,	PUNCT
ejpam-4599	281	8	t)+w5x(x	t)+w5x(x	ADJ
ejpam-4599	281	9	,	,	PUNCT
ejpam-4599	281	10	t	t	PROPN
ejpam-4599	281	11	)	)	PUNCT
ejpam-4599	281	12	,	,	PUNCT
ejpam-4599	281	13	and	and	CCONJ
ejpam-4599	281	14	g(x	g(x	NOUN
ejpam-4599	281	15	,	,	PUNCT
ejpam-4599	281	16	t	t	PROPN
ejpam-4599	281	17	)	)	PUNCT
ejpam-4599	281	18	=	=	SYM
ejpam-4599	281	19	2	2	NUM
ejpam-4599	281	20	cos(x+t	cos(x+t	NOUN
ejpam-4599	281	21	)	)	PUNCT
ejpam-4599	281	22	.	.	PUNCT
ejpam-4599	282	1	(	(	PUNCT
ejpam-4599	282	2	66	66	NUM
ejpam-4599	282	3	)	)	PUNCT
ejpam-4599	282	4	similarly	similarly	ADV
ejpam-4599	282	5	,	,	PUNCT
ejpam-4599	282	6	as	as	ADP
ejpam-4599	282	7	above	above	ADP
ejpam-4599	282	8	examples	example	NOUN
ejpam-4599	282	9	,	,	PUNCT
ejpam-4599	282	10	we	we	PRON
ejpam-4599	282	11	have	have	VERB
ejpam-4599	282	12	m	m	PRON
ejpam-4599	282	13	[	[	X
ejpam-4599	282	14	wn(x	wn(x	X
ejpam-4599	282	15	,	,	PUNCT
ejpam-4599	282	16	t	t	PROPN
ejpam-4599	282	17	)	)	PUNCT
ejpam-4599	282	18	]	]	PUNCT
ejpam-4599	283	1	=	=	X
ejpam-4599	283	2	wn	wn	PROPN
ejpam-4599	283	3	w{n	w{n	PROPN
ejpam-4599	283	4	,	,	PUNCT
ejpam-4599	283	5	x}(x	x}(x	PROPN
ejpam-4599	283	6	,	,	PUNCT
ejpam-4599	283	7	t	t	PROPN
ejpam-4599	283	8	)	)	PUNCT
ejpam-4599	283	9	+	+	NUM
ejpam-4599	283	10	wnw{n,3x}(x	wnw{n,3x}(x	NUM
ejpam-4599	283	11	,	,	PUNCT
ejpam-4599	283	12	t	t	PROPN
ejpam-4599	283	13	)	)	PUNCT
ejpam-4599	283	14	+	+	SYM
ejpam-4599	283	15	w{n,5x}(x	w{n,5x}(x	PROPN
ejpam-4599	283	16	,	,	PUNCT
ejpam-4599	283	17	t	t	PROPN
ejpam-4599	283	18	)	)	PUNCT
ejpam-4599	283	19	=	=	PUNCT
ejpam-4599	283	20	qn(x	qn(x	X
ejpam-4599	283	21	,	,	PUNCT
ejpam-4599	283	22	t	t	PROPN
ejpam-4599	283	23	)	)	PUNCT
ejpam-4599	283	24	+	+	NOUN
ejpam-4599	283	25	o(tn+1	o(tn+1	ADJ
ejpam-4599	283	26	)	)	PUNCT
ejpam-4599	283	27	,	,	PUNCT
ejpam-4599	283	28	(	(	PUNCT
ejpam-4599	283	29	67	67	NUM
ejpam-4599	283	30	)	)	PUNCT
ejpam-4599	283	31	and	and	CCONJ
ejpam-4599	283	32	g(x	g(x	PROPN
ejpam-4599	283	33	,	,	PUNCT
ejpam-4599	283	34	t	t	PROPN
ejpam-4599	283	35	)	)	PUNCT
ejpam-4599	283	36	=	=	SYM
ejpam-4599	283	37	2	2	NUM
ejpam-4599	283	38	cos(x+	cos(x+	PROPN
ejpam-4599	283	39	t	t	PROPN
ejpam-4599	283	40	)	)	PUNCT
ejpam-4599	283	41	,	,	PUNCT
ejpam-4599	283	42	(	(	PUNCT
ejpam-4599	283	43	68	68	NUM
ejpam-4599	283	44	)	)	PUNCT
ejpam-4599	283	45	when	when	SCONJ
ejpam-4599	283	46	n	n	X
ejpam-4599	283	47	=	=	SYM
ejpam-4599	283	48	0	0	NUM
ejpam-4599	283	49	,	,	PUNCT
ejpam-4599	283	50	η0	η0	NOUN
ejpam-4599	283	51	=	=	SYM
ejpam-4599	283	52	w0	w0	PROPN
ejpam-4599	283	53	=	=	SYM
ejpam-4599	283	54	sin(x	sin(x	PROPN
ejpam-4599	283	55	)	)	PUNCT
ejpam-4599	283	56	,	,	PUNCT
ejpam-4599	283	57	q0(x	q0(x	PROPN
ejpam-4599	283	58	,	,	PUNCT
ejpam-4599	283	59	t	t	PROPN
ejpam-4599	283	60	)	)	PUNCT
ejpam-4599	283	61	=	=	SYM
ejpam-4599	283	62	cos(x	cos(x	PROPN
ejpam-4599	283	63	)	)	PUNCT
ejpam-4599	283	64	.	.	PUNCT
ejpam-4599	284	1	(	(	PUNCT
ejpam-4599	284	2	69	69	NUM
ejpam-4599	284	3	)	)	PUNCT
ejpam-4599	284	4	using	use	VERB
ejpam-4599	284	5	the	the	DET
ejpam-4599	284	6	taylor	taylor	PROPN
ejpam-4599	284	7	’s	’s	PART
ejpam-4599	284	8	expansion	expansion	NOUN
ejpam-4599	284	9	in	in	ADP
ejpam-4599	284	10	the	the	DET
ejpam-4599	284	11	function	function	NOUN
ejpam-4599	284	12	g0(x	g0(x	PROPN
ejpam-4599	284	13	,	,	PUNCT
ejpam-4599	284	14	t	t	PROPN
ejpam-4599	284	15	)	)	PUNCT
ejpam-4599	284	16	,	,	PUNCT
ejpam-4599	284	17	for	for	ADP
ejpam-4599	284	18	e	e	X
ejpam-4599	284	19	−t	−t	NOUN
ejpam-4599	284	20	=	=	SYM
ejpam-4599	284	21	1−	1−	NUM
ejpam-4599	284	22	t+	t+	NUM
ejpam-4599	284	23	t2	t2	NOUN
ejpam-4599	284	24	2	2	NUM
ejpam-4599	284	25	!	!	PUNCT
ejpam-4599	284	26	−	−	PROPN
ejpam-4599	285	1	t3	t3	NOUN
ejpam-4599	285	2	3	3	NUM
ejpam-4599	285	3	!	!	PUNCT
ejpam-4599	286	1	+	+	CCONJ
ejpam-4599	286	2	t4	t4	PROPN
ejpam-4599	286	3	4	4	NUM
ejpam-4599	286	4	!	!	PUNCT
ejpam-4599	287	1	+	+	CCONJ
ejpam-4599	287	2	.	.	PUNCT
ejpam-4599	287	3	.	.	PUNCT
ejpam-4599	288	1	.	.	PUNCT
ejpam-4599	289	1	,	,	PUNCT
ejpam-4599	289	2	then	then	ADV
ejpam-4599	289	3	,	,	PUNCT
ejpam-4599	289	4	g(x	g(x	PROPN
ejpam-4599	289	5	,	,	PUNCT
ejpam-4599	289	6	t	t	PROPN
ejpam-4599	289	7	)	)	PUNCT
ejpam-4599	289	8	=	=	SYM
ejpam-4599	289	9	cos	cos	PROPN
ejpam-4599	289	10	(	(	PUNCT
ejpam-4599	289	11	x)−	x)−	PROPN
ejpam-4599	289	12	sin	sin	NOUN
ejpam-4599	289	13	(	(	PUNCT
ejpam-4599	289	14	x	x	NOUN
ejpam-4599	289	15	)	)	PUNCT
ejpam-4599	289	16	t−	t−	PROPN
ejpam-4599	289	17	cos	cos	PROPN
ejpam-4599	289	18	(	(	PUNCT
ejpam-4599	289	19	x	x	NOUN
ejpam-4599	289	20	)	)	PUNCT
ejpam-4599	289	21	2	2	NUM
ejpam-4599	289	22	t2	t2	NOUN
ejpam-4599	289	23	+	+	CCONJ
ejpam-4599	289	24	sin	sin	NOUN
ejpam-4599	289	25	(	(	PUNCT
ejpam-4599	289	26	x	x	NOUN
ejpam-4599	289	27	)	)	PUNCT
ejpam-4599	289	28	6	6	NUM
ejpam-4599	289	29	t3	t3	NOUN
ejpam-4599	289	30	+	+	CCONJ
ejpam-4599	289	31	cos	cos	PROPN
ejpam-4599	289	32	(	(	PUNCT
ejpam-4599	289	33	x	x	NOUN
ejpam-4599	289	34	)	)	PUNCT
ejpam-4599	289	35	24	24	NUM
ejpam-4599	289	36	t4	t4	PROPN
ejpam-4599	289	37	−	−	PROPN
ejpam-4599	289	38	sin	sin	NOUN
ejpam-4599	289	39	(	(	PUNCT
ejpam-4599	289	40	x	x	NOUN
ejpam-4599	289	41	)	)	PUNCT
ejpam-4599	289	42	120	120	NUM
ejpam-4599	289	43	t5	t5	PROPN
ejpam-4599	289	44	+	+	PUNCT
ejpam-4599	289	45	.	.	PUNCT
ejpam-4599	289	46	.	.	PUNCT
ejpam-4599	289	47	.	.	PUNCT
ejpam-4599	289	48	,	,	PUNCT
ejpam-4599	289	49	a.j	a.j	PROPN
ejpam-4599	289	50	.	.	PROPN
ejpam-4599	289	51	mohammed	mohammed	PROPN
ejpam-4599	289	52	,	,	PUNCT
ejpam-4599	289	53	s.t	s.t	PROPN
ejpam-4599	289	54	.	.	PROPN
ejpam-4599	289	55	al	al	PROPN
ejpam-4599	289	56	-	-	PUNCT
ejpam-4599	289	57	ramadhani	ramadhani	ADJ
ejpam-4599	289	58	,	,	PUNCT
ejpam-4599	289	59	r.m.h	r.m.h	NOUN
ejpam-4599	289	60	.	.	PUNCT
ejpam-4599	289	61	darghoth	darghoth	PROPN
ejpam-4599	289	62	/	/	PUNCT
ejpam-4599	289	63	eur	eur	PROPN
ejpam-4599	289	64	.	.	PUNCT
ejpam-4599	290	1	j.	j.	PROPN
ejpam-4599	290	2	pure	pure	PROPN
ejpam-4599	290	3	appl	appl	PROPN
ejpam-4599	290	4	.	.	PROPN
ejpam-4599	290	5	math	math	PROPN
ejpam-4599	290	6	,	,	PUNCT
ejpam-4599	290	7	15	15	NUM
ejpam-4599	290	8	(	(	PUNCT
ejpam-4599	290	9	4	4	NUM
ejpam-4599	290	10	)	)	PUNCT
ejpam-4599	290	11	(	(	PUNCT
ejpam-4599	290	12	2022	2022	NUM
ejpam-4599	290	13	)	)	PUNCT
ejpam-4599	290	14	,	,	PUNCT
ejpam-4599	290	15	1917	1917	NUM
ejpam-4599	290	16	-	-	SYM
ejpam-4599	290	17	1936	1936	NUM
ejpam-4599	290	18	1929	1929	NUM
ejpam-4599	290	19	g0(x	g0(x	PROPN
ejpam-4599	290	20	,	,	PUNCT
ejpam-4599	290	21	t	t	PROPN
ejpam-4599	290	22	)	)	PUNCT
ejpam-4599	290	23	=	=	SYM
ejpam-4599	290	24	cos(x	cos(x	PROPN
ejpam-4599	290	25	)	)	PUNCT
ejpam-4599	290	26	.	.	PUNCT
ejpam-4599	291	1	(	(	PUNCT
ejpam-4599	291	2	70	70	X
ejpam-4599	291	3	)	)	PUNCT
ejpam-4599	291	4	substituting	substitute	VERB
ejpam-4599	291	5	q0	q0	PROPN
ejpam-4599	291	6	and	and	CCONJ
ejpam-4599	291	7	g0	g0	NOUN
ejpam-4599	291	8	in	in	ADP
ejpam-4599	291	9	eq	eq	PROPN
ejpam-4599	291	10	(	(	PUNCT
ejpam-4599	291	11	19	19	NUM
ejpam-4599	291	12	)	)	PUNCT
ejpam-4599	291	13	,	,	PUNCT
ejpam-4599	291	14	we	we	PRON
ejpam-4599	291	15	have	have	VERB
ejpam-4599	291	16	η1	η1	NOUN
ejpam-4599	291	17	=	=	SYM
ejpam-4599	291	18	t	t	X
ejpam-4599	291	19	[	[	X
ejpam-4599	291	20	w0	w0	X
ejpam-4599	291	21	]	]	PUNCT
ejpam-4599	291	22	=	=	PUNCT
ejpam-4599	291	23	−k−1[υk[(q0	−k−1[υk[(q0	NOUN
ejpam-4599	291	24	−q−1	−q−1	NUM
ejpam-4599	291	25	)	)	PUNCT
ejpam-4599	292	1	+	+	CCONJ
ejpam-4599	292	2	(	(	PUNCT
ejpam-4599	292	3	g0	g0	PROPN
ejpam-4599	292	4	−g−1	−g−1	NUM
ejpam-4599	292	5	)	)	PUNCT
ejpam-4599	292	6	]	]	PUNCT
ejpam-4599	292	7	]	]	X
ejpam-4599	292	8	=	=	PUNCT
ejpam-4599	292	9	cos(x)t	cos(x)t	NOUN
ejpam-4599	292	10	,	,	PUNCT
ejpam-4599	292	11	(	(	PUNCT
ejpam-4599	292	12	71	71	NUM
ejpam-4599	292	13	)	)	PUNCT
ejpam-4599	292	14	therefore	therefore	ADV
ejpam-4599	292	15	,	,	PUNCT
ejpam-4599	292	16	the	the	DET
ejpam-4599	292	17	first	first	ADJ
ejpam-4599	292	18	iteration	iteration	NOUN
ejpam-4599	292	19	w1	w1	NOUN
ejpam-4599	292	20	is	be	AUX
ejpam-4599	292	21	,	,	PUNCT
ejpam-4599	292	22	w1(x	w1(x	PROPN
ejpam-4599	292	23	,	,	PUNCT
ejpam-4599	292	24	t	t	PROPN
ejpam-4599	292	25	)	)	PUNCT
ejpam-4599	293	1	=	=	NOUN
ejpam-4599	293	2	η0	η0	NOUN
ejpam-4599	293	3	+	+	CCONJ
ejpam-4599	293	4	η1	η1	NOUN
ejpam-4599	293	5	=	=	SYM
ejpam-4599	293	6	sin(x	sin(x	PROPN
ejpam-4599	293	7	)	)	PUNCT
ejpam-4599	293	8	+	+	NUM
ejpam-4599	293	9	cos(x	cos(x	PROPN
ejpam-4599	293	10	)	)	PUNCT
ejpam-4599	294	1	t.	t.	NOUN
ejpam-4599	294	2	(	(	PUNCT
ejpam-4599	294	3	72	72	NUM
ejpam-4599	294	4	)	)	PUNCT
ejpam-4599	294	5	when	when	SCONJ
ejpam-4599	294	6	n	n	X
ejpam-4599	294	7	=	=	SYM
ejpam-4599	294	8	1	1	NUM
ejpam-4599	294	9	,	,	PUNCT
ejpam-4599	294	10	q1(x	q1(x	NOUN
ejpam-4599	294	11	,	,	PUNCT
ejpam-4599	294	12	t	t	PROPN
ejpam-4599	294	13	)	)	PUNCT
ejpam-4599	295	1	=	=	VERB
ejpam-4599	295	2	cos(x)−	cos(x)−	NOUN
ejpam-4599	295	3	sin(x	sin(x	PROPN
ejpam-4599	295	4	)	)	PUNCT
ejpam-4599	295	5	t	t	PROPN
ejpam-4599	295	6	,	,	PUNCT
ejpam-4599	295	7	(	(	PUNCT
ejpam-4599	295	8	73	73	NUM
ejpam-4599	295	9	)	)	PUNCT
ejpam-4599	295	10	and	and	CCONJ
ejpam-4599	295	11	g1	g1	PROPN
ejpam-4599	295	12	=	=	SYM
ejpam-4599	295	13	−2	−2	PROPN
ejpam-4599	295	14	cos	cos	X
ejpam-4599	295	15	(	(	PUNCT
ejpam-4599	295	16	x	x	X
ejpam-4599	295	17	)	)	PUNCT
ejpam-4599	295	18	+	+	CCONJ
ejpam-4599	295	19	2	2	NUM
ejpam-4599	295	20	sin	sin	NOUN
ejpam-4599	295	21	(	(	PUNCT
ejpam-4599	295	22	x	x	NOUN
ejpam-4599	295	23	)	)	PUNCT
ejpam-4599	295	24	t	t	NOUN
ejpam-4599	295	25	after	after	ADP
ejpam-4599	295	26	cancelling	cancel	VERB
ejpam-4599	295	27	the	the	DET
ejpam-4599	295	28	neglected	neglect	VERB
ejpam-4599	295	29	terms	term	NOUN
ejpam-4599	295	30	.	.	PUNCT
ejpam-4599	296	1	so	so	ADV
ejpam-4599	296	2	,	,	PUNCT
ejpam-4599	296	3	η2	η2	ADJ
ejpam-4599	296	4	=	=	PROPN
ejpam-4599	296	5	t	t	X
ejpam-4599	296	6	[	[	X
ejpam-4599	296	7	w1	w1	NOUN
ejpam-4599	296	8	]	]	PUNCT
ejpam-4599	296	9	=	=	PUNCT
ejpam-4599	296	10	−k−1[υk[(q1	−k−1[υk[(q1	PROPN
ejpam-4599	296	11	−q0	−q0	PROPN
ejpam-4599	296	12	)	)	PUNCT
ejpam-4599	297	1	+	+	CCONJ
ejpam-4599	297	2	(	(	PUNCT
ejpam-4599	297	3	g1	g1	PROPN
ejpam-4599	297	4	−g0	−g0	PROPN
ejpam-4599	297	5	)	)	PUNCT
ejpam-4599	298	1	]	]	PUNCT
ejpam-4599	298	2	]	]	X
ejpam-4599	298	3	=	=	SYM
ejpam-4599	298	4	−1	−1	NOUN
ejpam-4599	298	5	2	2	NUM
ejpam-4599	298	6	sin	sin	NOUN
ejpam-4599	298	7	(	(	PUNCT
ejpam-4599	298	8	x	x	NOUN
ejpam-4599	298	9	)	)	PUNCT
ejpam-4599	298	10	t2	t2	NOUN
ejpam-4599	298	11	,	,	PUNCT
ejpam-4599	298	12	(	(	PUNCT
ejpam-4599	298	13	74	74	NUM
ejpam-4599	298	14	)	)	PUNCT
ejpam-4599	298	15	therefore	therefore	ADV
ejpam-4599	298	16	,	,	PUNCT
ejpam-4599	298	17	the	the	DET
ejpam-4599	298	18	second	second	ADJ
ejpam-4599	298	19	iteration	iteration	NOUN
ejpam-4599	298	20	w2	w2	NOUN
ejpam-4599	298	21	is	be	AUX
ejpam-4599	298	22	,	,	PUNCT
ejpam-4599	298	23	w2(x	w2(x	PROPN
ejpam-4599	298	24	,	,	PUNCT
ejpam-4599	298	25	t	t	PROPN
ejpam-4599	298	26	)	)	PUNCT
ejpam-4599	299	1	=	=	NOUN
ejpam-4599	299	2	η0	η0	NOUN
ejpam-4599	299	3	+	+	CCONJ
ejpam-4599	299	4	η1	η1	NOUN
ejpam-4599	299	5	+	+	CCONJ
ejpam-4599	299	6	η2	η2	ADJ
ejpam-4599	299	7	=	=	PUNCT
ejpam-4599	299	8	sin	sin	NOUN
ejpam-4599	299	9	(	(	PUNCT
ejpam-4599	299	10	x	x	NOUN
ejpam-4599	299	11	)	)	PUNCT
ejpam-4599	299	12	+	+	CCONJ
ejpam-4599	299	13	cos	cos	X
ejpam-4599	299	14	(	(	PUNCT
ejpam-4599	299	15	x	x	X
ejpam-4599	299	16	)	)	PUNCT
ejpam-4599	299	17	t−	t−	PROPN
ejpam-4599	299	18	1	1	NUM
ejpam-4599	299	19	2	2	NUM
ejpam-4599	299	20	sin	sin	NOUN
ejpam-4599	299	21	(	(	PUNCT
ejpam-4599	299	22	x	x	NOUN
ejpam-4599	299	23	)	)	PUNCT
ejpam-4599	299	24	t2	t2	NOUN
ejpam-4599	299	25	.	.	PUNCT
ejpam-4599	300	1	(	(	PUNCT
ejpam-4599	300	2	75	75	NUM
ejpam-4599	300	3	)	)	PUNCT
ejpam-4599	300	4	when	when	SCONJ
ejpam-4599	300	5	n	n	PROPN
ejpam-4599	300	6	=	=	SYM
ejpam-4599	300	7	2	2	NUM
ejpam-4599	300	8	q2(x	q2(x	PROPN
ejpam-4599	300	9	,	,	PUNCT
ejpam-4599	300	10	t	t	PROPN
ejpam-4599	300	11	)	)	PUNCT
ejpam-4599	300	12	=	=	SYM
ejpam-4599	301	1	cos	cos	PROPN
ejpam-4599	301	2	(	(	PUNCT
ejpam-4599	301	3	x)−	x)−	PROPN
ejpam-4599	301	4	sin	sin	NOUN
ejpam-4599	301	5	(	(	PUNCT
ejpam-4599	301	6	x	x	NOUN
ejpam-4599	301	7	)	)	PUNCT
ejpam-4599	301	8	t−	t−	PROPN
ejpam-4599	301	9	1/2	1/2	NUM
ejpam-4599	301	10	cos	cos	PROPN
ejpam-4599	301	11	(	(	PUNCT
ejpam-4599	301	12	x	x	NOUN
ejpam-4599	301	13	)	)	PUNCT
ejpam-4599	301	14	t2	t2	NOUN
ejpam-4599	301	15	,	,	PUNCT
ejpam-4599	301	16	(	(	PUNCT
ejpam-4599	301	17	76	76	NUM
ejpam-4599	301	18	)	)	PUNCT
ejpam-4599	301	19	and	and	CCONJ
ejpam-4599	301	20	g2(x	g2(x	PROPN
ejpam-4599	301	21	,	,	PUNCT
ejpam-4599	301	22	t	t	PROPN
ejpam-4599	301	23	)	)	PUNCT
ejpam-4599	301	24	=	=	SYM
ejpam-4599	301	25	−2	−2	X
ejpam-4599	301	26	cos	cos	X
ejpam-4599	301	27	(	(	PUNCT
ejpam-4599	301	28	x	x	X
ejpam-4599	301	29	)	)	PUNCT
ejpam-4599	301	30	+	+	CCONJ
ejpam-4599	301	31	2	2	NUM
ejpam-4599	301	32	sin	sin	NOUN
ejpam-4599	301	33	(	(	PUNCT
ejpam-4599	301	34	x	x	NOUN
ejpam-4599	301	35	)	)	PUNCT
ejpam-4599	301	36	t+	t+	PUNCT
ejpam-4599	301	37	cos	cos	PROPN
ejpam-4599	301	38	(	(	PUNCT
ejpam-4599	301	39	x	x	NOUN
ejpam-4599	301	40	)	)	PUNCT
ejpam-4599	301	41	t2	t2	NOUN
ejpam-4599	301	42	,	,	PUNCT
ejpam-4599	301	43	(	(	PUNCT
ejpam-4599	301	44	77	77	NUM
ejpam-4599	301	45	)	)	PUNCT
ejpam-4599	301	46	so	so	ADV
ejpam-4599	301	47	,	,	PUNCT
ejpam-4599	301	48	η3	η3	PROPN
ejpam-4599	301	49	=	=	PROPN
ejpam-4599	301	50	t	t	X
ejpam-4599	301	51	[	[	X
ejpam-4599	301	52	w2	w2	NOUN
ejpam-4599	301	53	]	]	X
ejpam-4599	301	54	=	=	PUNCT
ejpam-4599	301	55	−k−1[υk[(q2	−k−1[υk[(q2	PROPN
ejpam-4599	301	56	−q1	−q1	PROPN
ejpam-4599	301	57	)	)	PUNCT
ejpam-4599	301	58	+	+	CCONJ
ejpam-4599	301	59	(	(	PUNCT
ejpam-4599	301	60	g2	g2	PROPN
ejpam-4599	301	61	−g1	−g1	VERB
ejpam-4599	301	62	)	)	PUNCT
ejpam-4599	301	63	]	]	PUNCT
ejpam-4599	301	64	]	]	X
ejpam-4599	302	1	=	=	SYM
ejpam-4599	302	2	−1	−1	NOUN
ejpam-4599	302	3	6	6	NUM
ejpam-4599	302	4	cos	cos	PROPN
ejpam-4599	302	5	(	(	PUNCT
ejpam-4599	302	6	x	x	NOUN
ejpam-4599	302	7	)	)	PUNCT
ejpam-4599	302	8	t3	t3	PROPN
ejpam-4599	302	9	,	,	PUNCT
ejpam-4599	302	10	(	(	PUNCT
ejpam-4599	302	11	78	78	NUM
ejpam-4599	302	12	)	)	PUNCT
ejpam-4599	302	13	then	then	ADV
ejpam-4599	302	14	,	,	PUNCT
ejpam-4599	302	15	the	the	DET
ejpam-4599	302	16	third	third	ADJ
ejpam-4599	302	17	iteration	iteration	NOUN
ejpam-4599	302	18	w3	w3	PROPN
ejpam-4599	302	19	is	be	AUX
ejpam-4599	302	20	,	,	PUNCT
ejpam-4599	302	21	w3(x	w3(x	PROPN
ejpam-4599	302	22	,	,	PUNCT
ejpam-4599	302	23	t	t	PROPN
ejpam-4599	302	24	)	)	PUNCT
ejpam-4599	302	25	=	=	NOUN
ejpam-4599	302	26	sin	sin	NOUN
ejpam-4599	302	27	(	(	PUNCT
ejpam-4599	302	28	x	x	NOUN
ejpam-4599	302	29	)	)	PUNCT
ejpam-4599	303	1	+	+	CCONJ
ejpam-4599	303	2	cos	cos	X
ejpam-4599	303	3	(	(	PUNCT
ejpam-4599	303	4	x	x	X
ejpam-4599	303	5	)	)	PUNCT
ejpam-4599	303	6	t−	t−	PROPN
ejpam-4599	303	7	1	1	NUM
ejpam-4599	303	8	2	2	NUM
ejpam-4599	303	9	sin	sin	NOUN
ejpam-4599	303	10	(	(	PUNCT
ejpam-4599	303	11	x	x	NOUN
ejpam-4599	303	12	)	)	PUNCT
ejpam-4599	303	13	t2	t2	NOUN
ejpam-4599	303	14	−	−	PROPN
ejpam-4599	303	15	1	1	NUM
ejpam-4599	303	16	6	6	NUM
ejpam-4599	303	17	cos	cos	PROPN
ejpam-4599	303	18	(	(	PUNCT
ejpam-4599	303	19	x	x	NOUN
ejpam-4599	303	20	)	)	PUNCT
ejpam-4599	303	21	t3	t3	PROPN
ejpam-4599	303	22	.	.	PUNCT
ejpam-4599	304	1	(	(	PUNCT
ejpam-4599	304	2	79	79	NUM
ejpam-4599	304	3	)	)	PUNCT
ejpam-4599	304	4	finally	finally	ADV
ejpam-4599	304	5	,	,	PUNCT
ejpam-4599	304	6	when	when	SCONJ
ejpam-4599	304	7	n	n	X
ejpam-4599	304	8	→	→	SYM
ejpam-4599	304	9	∞	∞	PROPN
ejpam-4599	304	10	,	,	PUNCT
ejpam-4599	304	11	the	the	DET
ejpam-4599	304	12	series	series	NOUN
ejpam-4599	304	13	solution	solution	NOUN
ejpam-4599	304	14	(	(	PUNCT
ejpam-4599	304	15	79	79	NUM
ejpam-4599	304	16	)	)	PUNCT
ejpam-4599	304	17	of	of	ADP
ejpam-4599	304	18	the	the	DET
ejpam-4599	304	19	homogeneous	homogeneous	ADJ
ejpam-4599	304	20	fkdv	fkdv	NOUN
ejpam-4599	304	21	equation	equation	NOUN
ejpam-4599	304	22	(	(	PUNCT
ejpam-4599	304	23	65	65	NUM
ejpam-4599	304	24	)	)	PUNCT
ejpam-4599	304	25	w(x	w(x	PROPN
ejpam-4599	304	26	,	,	PUNCT
ejpam-4599	304	27	t	t	PROPN
ejpam-4599	304	28	)	)	PUNCT
ejpam-4599	304	29	=	=	VERB
ejpam-4599	304	30	lim	lim	PROPN
ejpam-4599	304	31	n→∞	n→∞	X
ejpam-4599	305	1	n∑	n∑	ADJ
ejpam-4599	305	2	k=0	k=0	PUNCT
ejpam-4599	305	3	ηk	ηk	AUX
ejpam-4599	305	4	=	=	NOUN
ejpam-4599	305	5	η0	η0	NOUN
ejpam-4599	305	6	+	+	CCONJ
ejpam-4599	305	7	η1	η1	NOUN
ejpam-4599	305	8	+	+	CCONJ
ejpam-4599	305	9	η2	η2	ADJ
ejpam-4599	305	10	=	=	PUNCT
ejpam-4599	305	11	sin	sin	NOUN
ejpam-4599	305	12	(	(	PUNCT
ejpam-4599	305	13	x	x	NOUN
ejpam-4599	305	14	)	)	PUNCT
ejpam-4599	305	15	+	+	CCONJ
ejpam-4599	305	16	cos	cos	X
ejpam-4599	305	17	(	(	PUNCT
ejpam-4599	305	18	x	x	X
ejpam-4599	305	19	)	)	PUNCT
ejpam-4599	305	20	t−	t−	PROPN
ejpam-4599	305	21	1	1	NUM
ejpam-4599	305	22	2	2	NUM
ejpam-4599	305	23	sin	sin	NOUN
ejpam-4599	305	24	(	(	PUNCT
ejpam-4599	305	25	x	x	NOUN
ejpam-4599	305	26	)	)	PUNCT
ejpam-4599	305	27	t2	t2	NOUN
ejpam-4599	305	28	−	−	PROPN
ejpam-4599	305	29	1	1	NUM
ejpam-4599	305	30	6	6	NUM
ejpam-4599	305	31	cos	cos	PROPN
ejpam-4599	305	32	(	(	PUNCT
ejpam-4599	305	33	x	x	NOUN
ejpam-4599	305	34	)	)	PUNCT
ejpam-4599	305	35	t3	t3	PROPN
ejpam-4599	305	36	+	+	X
ejpam-4599	305	37	.	.	PUNCT
ejpam-4599	305	38	.	.	PUNCT
ejpam-4599	305	39	.	.	PUNCT
ejpam-4599	306	1	,	,	PUNCT
ejpam-4599	306	2	=(	=(	PROPN
ejpam-4599	306	3	sin(x)−	sin(x)−	PROPN
ejpam-4599	306	4	1	1	NUM
ejpam-4599	306	5	2	2	NUM
ejpam-4599	306	6	sin	sin	NOUN
ejpam-4599	306	7	(	(	PUNCT
ejpam-4599	306	8	x	x	NOUN
ejpam-4599	306	9	)	)	PUNCT
ejpam-4599	306	10	t2	t2	NOUN
ejpam-4599	306	11	+	+	CCONJ
ejpam-4599	306	12	1	1	NUM
ejpam-4599	306	13	24	24	NUM
ejpam-4599	306	14	sin	sin	NOUN
ejpam-4599	306	15	(	(	PUNCT
ejpam-4599	306	16	x	x	NOUN
ejpam-4599	306	17	)	)	PUNCT
ejpam-4599	306	18	t4	t4	PROPN
ejpam-4599	306	19	+	+	X
ejpam-4599	306	20	.	.	PUNCT
ejpam-4599	306	21	.	.	PUNCT
ejpam-4599	306	22	.	.	PUNCT
ejpam-4599	306	23	)	)	PUNCT
ejpam-4599	307	1	+	+	CCONJ
ejpam-4599	307	2	(	(	PUNCT
ejpam-4599	307	3	cos	cos	X
ejpam-4599	307	4	(	(	PUNCT
ejpam-4599	307	5	x	x	X
ejpam-4599	307	6	)	)	PUNCT
ejpam-4599	307	7	t−	t−	PROPN
ejpam-4599	307	8	1	1	NUM
ejpam-4599	307	9	6	6	NUM
ejpam-4599	307	10	cos	cos	PROPN
ejpam-4599	307	11	(	(	PUNCT
ejpam-4599	307	12	x	x	NOUN
ejpam-4599	307	13	)	)	PUNCT
ejpam-4599	307	14	t3	t3	NOUN
ejpam-4599	307	15	+	+	CCONJ
ejpam-4599	307	16	1	1	NUM
ejpam-4599	307	17	120	120	NUM
ejpam-4599	307	18	cos	co	NOUN
ejpam-4599	307	19	(	(	PUNCT
ejpam-4599	307	20	x	x	X
ejpam-4599	307	21	)	)	PUNCT
ejpam-4599	307	22	t5	t5	PROPN
ejpam-4599	307	23	+	+	PUNCT
ejpam-4599	307	24	.	.	PUNCT
ejpam-4599	307	25	.	.	PUNCT
ejpam-4599	307	26	.	.	PUNCT
ejpam-4599	307	27	)	)	PUNCT
ejpam-4599	308	1	(	(	PUNCT
ejpam-4599	308	2	80	80	NUM
ejpam-4599	308	3	)	)	PUNCT
ejpam-4599	308	4	a.j	a.j	PROPN
ejpam-4599	308	5	.	.	PROPN
ejpam-4599	308	6	mohammed	mohammed	PROPN
ejpam-4599	308	7	,	,	PUNCT
ejpam-4599	308	8	s.t	s.t	PROPN
ejpam-4599	308	9	.	.	PROPN
ejpam-4599	308	10	al	al	PROPN
ejpam-4599	308	11	-	-	PUNCT
ejpam-4599	308	12	ramadhani	ramadhani	ADJ
ejpam-4599	308	13	,	,	PUNCT
ejpam-4599	308	14	r.m.h	r.m.h	NOUN
ejpam-4599	308	15	.	.	PUNCT
ejpam-4599	308	16	darghoth	darghoth	PROPN
ejpam-4599	308	17	/	/	PUNCT
ejpam-4599	308	18	eur	eur	PROPN
ejpam-4599	308	19	.	.	PUNCT
ejpam-4599	309	1	j.	j.	PROPN
ejpam-4599	309	2	pure	pure	PROPN
ejpam-4599	309	3	appl	appl	PROPN
ejpam-4599	309	4	.	.	PROPN
ejpam-4599	309	5	math	math	PROPN
ejpam-4599	309	6	,	,	PUNCT
ejpam-4599	309	7	15	15	NUM
ejpam-4599	309	8	(	(	PUNCT
ejpam-4599	309	9	4	4	NUM
ejpam-4599	309	10	)	)	PUNCT
ejpam-4599	309	11	(	(	PUNCT
ejpam-4599	309	12	2022	2022	NUM
ejpam-4599	309	13	)	)	PUNCT
ejpam-4599	309	14	,	,	PUNCT
ejpam-4599	309	15	1917	1917	NUM
ejpam-4599	309	16	-	-	SYM
ejpam-4599	309	17	1936	1936	NUM
ejpam-4599	309	18	1930	1930	NUM
ejpam-4599	309	19	the	the	DET
ejpam-4599	309	20	first	first	ADJ
ejpam-4599	309	21	part	part	NOUN
ejpam-4599	309	22	of	of	ADP
ejpam-4599	309	23	eq	eq	PROPN
ejpam-4599	309	24	.	.	PUNCT
ejpam-4599	310	1	(	(	PUNCT
ejpam-4599	310	2	80	80	NUM
ejpam-4599	310	3	)	)	PUNCT
ejpam-4599	310	4	represents	represent	VERB
ejpam-4599	310	5	the	the	DET
ejpam-4599	310	6	taylor	taylor	PROPN
ejpam-4599	310	7	’s	’s	PART
ejpam-4599	310	8	expansion	expansion	NOUN
ejpam-4599	310	9	of	of	ADP
ejpam-4599	310	10	sin(x	sin(x	PROPN
ejpam-4599	310	11	)	)	PUNCT
ejpam-4599	310	12	cos(t	cos(t	PROPN
ejpam-4599	310	13	)	)	PUNCT
ejpam-4599	310	14	where	where	SCONJ
ejpam-4599	310	15	sin(x	sin(x	PROPN
ejpam-4599	310	16	)	)	PUNCT
ejpam-4599	310	17	is	be	AUX
ejpam-4599	310	18	a	a	DET
ejpam-4599	310	19	common	common	ADJ
ejpam-4599	310	20	factor	factor	NOUN
ejpam-4599	310	21	,	,	PUNCT
ejpam-4599	310	22	and	and	CCONJ
ejpam-4599	310	23	the	the	DET
ejpam-4599	310	24	second	second	ADJ
ejpam-4599	310	25	part	part	NOUN
ejpam-4599	310	26	represents	represent	VERB
ejpam-4599	310	27	the	the	DET
ejpam-4599	310	28	taylor	taylor	PROPN
ejpam-4599	310	29	’s	’s	PART
ejpam-4599	310	30	expansion	expansion	NOUN
ejpam-4599	310	31	of	of	ADP
ejpam-4599	310	32	cos(x	cos(x	PROPN
ejpam-4599	310	33	)	)	PUNCT
ejpam-4599	310	34	sin(t	sin(t	PROPN
ejpam-4599	310	35	)	)	PUNCT
ejpam-4599	310	36	,	,	PUNCT
ejpam-4599	310	37	then	then	ADV
ejpam-4599	310	38	the	the	DET
ejpam-4599	310	39	taylor	taylor	PROPN
ejpam-4599	310	40	’s	’s	PART
ejpam-4599	310	41	expansion	expansion	NOUN
ejpam-4599	310	42	of	of	ADP
ejpam-4599	310	43	the	the	DET
ejpam-4599	310	44	exact	exact	ADJ
ejpam-4599	310	45	solution	solution	NOUN
ejpam-4599	310	46	w(x	w(x	PROPN
ejpam-4599	310	47	,	,	PUNCT
ejpam-4599	310	48	t	t	PROPN
ejpam-4599	310	49	)	)	PUNCT
ejpam-4599	310	50	=	=	SYM
ejpam-4599	310	51	sin(x	sin(x	PROPN
ejpam-4599	310	52	)	)	PUNCT
ejpam-4599	310	53	cos(t	cos(t	PROPN
ejpam-4599	310	54	)	)	PUNCT
ejpam-4599	310	55	+	+	NUM
ejpam-4599	310	56	cos(x	cos(x	PROPN
ejpam-4599	310	57	)	)	PUNCT
ejpam-4599	310	58	sin(t	sin(t	NOUN
ejpam-4599	310	59	)	)	PUNCT
ejpam-4599	310	60	=	=	PUNCT
ejpam-4599	311	1	sin(x+	sin(x+	PROPN
ejpam-4599	311	2	t	t	PROPN
ejpam-4599	311	3	)	)	PUNCT
ejpam-4599	311	4	,	,	PUNCT
ejpam-4599	311	5	(	(	PUNCT
ejpam-4599	311	6	81	81	NUM
ejpam-4599	311	7	)	)	PUNCT
ejpam-4599	311	8	which	which	PRON
ejpam-4599	311	9	is	be	AUX
ejpam-4599	311	10	the	the	DET
ejpam-4599	311	11	periodic	periodic	ADJ
ejpam-4599	311	12	exact	exact	ADJ
ejpam-4599	311	13	solution	solution	NOUN
ejpam-4599	311	14	.	.	PUNCT
ejpam-4599	312	1	figure	figure	NOUN
ejpam-4599	312	2	(	(	PUNCT
ejpam-4599	312	3	4	4	NUM
ejpam-4599	312	4	)	)	PUNCT
ejpam-4599	312	5	shows	show	VERB
ejpam-4599	312	6	the	the	DET
ejpam-4599	312	7	exact	exact	ADJ
ejpam-4599	312	8	solution	solution	NOUN
ejpam-4599	312	9	deduce	deduce	VERB
ejpam-4599	312	10	from	from	ADP
ejpam-4599	312	11	the	the	DET
ejpam-4599	312	12	convergent	convergent	NOUN
ejpam-4599	312	13	of	of	ADP
ejpam-4599	312	14	taylor	taylor	PROPN
ejpam-4599	312	15	’s	’s	PART
ejpam-4599	312	16	series	series	NOUN
ejpam-4599	312	17	in	in	ADP
ejpam-4599	312	18	eq	eq	PROPN
ejpam-4599	312	19	.	.	PUNCT
ejpam-4599	313	1	(	(	PUNCT
ejpam-4599	313	2	81	81	NUM
ejpam-4599	313	3	)	)	PUNCT
ejpam-4599	313	4	.	.	PUNCT
ejpam-4599	314	1	figure	figure	VERB
ejpam-4599	314	2	4	4	NUM
ejpam-4599	314	3	:	:	PUNCT
ejpam-4599	314	4	the	the	DET
ejpam-4599	314	5	periodic	periodic	ADJ
ejpam-4599	314	6	solution	solution	NOUN
ejpam-4599	314	7	of	of	ADP
ejpam-4599	314	8	the	the	DET
ejpam-4599	314	9	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	314	10	fkdv	fkdv	NOUN
ejpam-4599	314	11	eq	eq	ADP
ejpam-4599	314	12	.	.	PUNCT
ejpam-4599	315	1	(	(	PUNCT
ejpam-4599	315	2	65	65	NUM
ejpam-4599	315	3	)	)	PUNCT
ejpam-4599	315	4	.	.	PUNCT
ejpam-4599	316	1	4	4	X
ejpam-4599	316	2	.	.	X
ejpam-4599	316	3	the	the	DET
ejpam-4599	316	4	effects	effect	NOUN
ejpam-4599	316	5	of	of	ADP
ejpam-4599	316	6	noise	noise	NOUN
ejpam-4599	316	7	terms	term	NOUN
ejpam-4599	316	8	on	on	ADP
ejpam-4599	316	9	kamal	kamal	PROPN
ejpam-4599	316	10	transform	transform	NOUN
ejpam-4599	316	11	with	with	ADP
ejpam-4599	316	12	classical	classical	ADJ
ejpam-4599	316	13	iteration	iteration	NOUN
ejpam-4599	316	14	method	method	NOUN
ejpam-4599	316	15	here	here	ADV
ejpam-4599	316	16	,	,	PUNCT
ejpam-4599	316	17	the	the	DET
ejpam-4599	316	18	k	k	PROPN
ejpam-4599	316	19	-	-	PUNCT
ejpam-4599	316	20	ci	ci	NOUN
ejpam-4599	316	21	method	method	NOUN
ejpam-4599	316	22	is	be	AUX
ejpam-4599	316	23	applied	apply	VERB
ejpam-4599	316	24	on	on	ADP
ejpam-4599	316	25	the	the	DET
ejpam-4599	316	26	homogenous	homogenous	ADJ
ejpam-4599	316	27	fkdv	fkdv	NOUN
ejpam-4599	316	28	eq	eq	ADP
ejpam-4599	316	29	.	.	PUNCT
ejpam-4599	317	1	and	and	CCONJ
ejpam-4599	317	2	the	the	DET
ejpam-4599	317	3	result	result	NOUN
ejpam-4599	317	4	does	do	AUX
ejpam-4599	317	5	not	not	PART
ejpam-4599	317	6	converge	converge	VERB
ejpam-4599	317	7	well	well	ADV
ejpam-4599	317	8	.	.	PUNCT
ejpam-4599	318	1	in	in	ADP
ejpam-4599	318	2	previous	previous	ADJ
ejpam-4599	318	3	examples	example	NOUN
ejpam-4599	318	4	,	,	PUNCT
ejpam-4599	318	5	the	the	DET
ejpam-4599	318	6	homogenous	homogenous	ADJ
ejpam-4599	318	7	fkdv	fkdv	NOUN
ejpam-4599	318	8	eq	eq	ADP
ejpam-4599	318	9	.	.	PUNCT
ejpam-4599	319	1	(	(	PUNCT
ejpam-4599	319	2	50	50	NUM
ejpam-4599	319	3	)	)	PUNCT
ejpam-4599	319	4	was	be	AUX
ejpam-4599	319	5	solved	solve	VERB
ejpam-4599	319	6	by	by	ADP
ejpam-4599	319	7	the	the	DET
ejpam-4599	319	8	k	k	PROPN
ejpam-4599	319	9	-	-	PROPN
ejpam-4599	319	10	mi	mi	PROPN
ejpam-4599	319	11	method	method	NOUN
ejpam-4599	319	12	.	.	PUNCT
ejpam-4599	320	1	so	so	ADV
ejpam-4599	320	2	,	,	PUNCT
ejpam-4599	320	3	we	we	PRON
ejpam-4599	320	4	present	present	VERB
ejpam-4599	320	5	the	the	DET
ejpam-4599	320	6	following	following	ADJ
ejpam-4599	320	7	example	example	NOUN
ejpam-4599	320	8	to	to	PART
ejpam-4599	320	9	prove	prove	VERB
ejpam-4599	320	10	that	that	SCONJ
ejpam-4599	320	11	the	the	DET
ejpam-4599	320	12	k	k	PROPN
ejpam-4599	320	13	-	-	PUNCT
ejpam-4599	320	14	ci	ci	NOUN
ejpam-4599	320	15	method	method	NOUN
ejpam-4599	320	16	is	be	AUX
ejpam-4599	320	17	not	not	PART
ejpam-4599	320	18	a	a	DET
ejpam-4599	320	19	good	good	ADJ
ejpam-4599	320	20	choice	choice	NOUN
ejpam-4599	320	21	to	to	PART
ejpam-4599	320	22	solve	solve	VERB
ejpam-4599	320	23	the	the	DET
ejpam-4599	320	24	kdv	kdv	NOUN
ejpam-4599	320	25	eq	eq	ADJ
ejpam-4599	320	26	.	.	PROPN
ejpam-4599	320	27	types	type	NOUN
ejpam-4599	320	28	.	.	PUNCT
ejpam-4599	321	1	example	example	NOUN
ejpam-4599	321	2	5	5	NUM
ejpam-4599	321	3	.	.	PUNCT
ejpam-4599	322	1	consider	consider	VERB
ejpam-4599	322	2	the	the	DET
ejpam-4599	322	3	homogeneous	homogeneous	ADJ
ejpam-4599	322	4	fkdv	fkdv	NOUN
ejpam-4599	322	5	eq	eq	ADJ
ejpam-4599	322	6	.	.	PROPN
ejpam-4599	323	1	wt(x	wt(x	PROPN
ejpam-4599	323	2	,	,	PUNCT
ejpam-4599	323	3	t	t	PROPN
ejpam-4599	323	4	)	)	PUNCT
ejpam-4599	323	5	+	+	NUM
ejpam-4599	323	6	w2	w2	PROPN
ejpam-4599	323	7	wxx(x	wxx(x	PROPN
ejpam-4599	323	8	,	,	PUNCT
ejpam-4599	323	9	t	t	PROPN
ejpam-4599	323	10	)	)	PUNCT
ejpam-4599	324	1	+	+	SYM
ejpam-4599	324	2	wxw3x(x	wxw3x(x	NOUN
ejpam-4599	324	3	,	,	PUNCT
ejpam-4599	324	4	t)−	t)−	PROPN
ejpam-4599	324	5	20w2	20w2	NUM
ejpam-4599	324	6	w3x(x	w3x(x	NOUN
ejpam-4599	324	7	,	,	PUNCT
ejpam-4599	324	8	t	t	PROPN
ejpam-4599	324	9	)	)	PUNCT
ejpam-4599	324	10	+	+	SYM
ejpam-4599	324	11	w5x(x	w5x(x	PROPN
ejpam-4599	324	12	,	,	PUNCT
ejpam-4599	324	13	t	t	PROPN
ejpam-4599	324	14	)	)	PUNCT
ejpam-4599	324	15	=	=	SYM
ejpam-4599	325	1	0	0	NUM
ejpam-4599	325	2	,	,	PUNCT
ejpam-4599	325	3	(	(	PUNCT
ejpam-4599	325	4	82	82	NUM
ejpam-4599	325	5	)	)	PUNCT
ejpam-4599	325	6	with	with	ADP
ejpam-4599	325	7	given	give	VERB
ejpam-4599	325	8	ic	ic	PROPN
ejpam-4599	325	9	w(x	w(x	PROPN
ejpam-4599	325	10	,	,	PUNCT
ejpam-4599	325	11	0	0	NUM
ejpam-4599	325	12	)	)	PUNCT
ejpam-4599	325	13	=	=	SYM
ejpam-4599	326	1	1	1	NUM
ejpam-4599	326	2	x	x	NOUN
ejpam-4599	326	3	,	,	PUNCT
ejpam-4599	326	4	taking	take	VERB
ejpam-4599	326	5	kt	kt	X
ejpam-4599	327	1	and	and	CCONJ
ejpam-4599	327	2	it	it	PRON
ejpam-4599	327	3	’s	’	VERB
ejpam-4599	327	4	inverse	inverse	NOUN
ejpam-4599	327	5	on	on	ADP
ejpam-4599	327	6	eq	eq	ADP
ejpam-4599	327	7	.	.	PUNCT
ejpam-4599	328	1	(	(	PUNCT
ejpam-4599	328	2	82	82	NUM
ejpam-4599	328	3	)	)	PUNCT
ejpam-4599	328	4	,	,	PUNCT
ejpam-4599	328	5	lead	lead	VERB
ejpam-4599	328	6	to	to	ADP
ejpam-4599	328	7	w(x	w(x	PROPN
ejpam-4599	328	8	,	,	PUNCT
ejpam-4599	328	9	t	t	PROPN
ejpam-4599	328	10	)	)	PUNCT
ejpam-4599	328	11	=	=	SYM
ejpam-4599	329	1	1	1	NUM
ejpam-4599	329	2	x	x	SYM
ejpam-4599	329	3	−k−1[υk[w2	−k−1[υk[w2	NOUN
ejpam-4599	329	4	wxx(x	wxx(x	PROPN
ejpam-4599	329	5	,	,	PUNCT
ejpam-4599	329	6	t	t	PROPN
ejpam-4599	329	7	)	)	PUNCT
ejpam-4599	330	1	+	+	SYM
ejpam-4599	330	2	wxw3x(x	wxw3x(x	NOUN
ejpam-4599	330	3	,	,	PUNCT
ejpam-4599	330	4	t)−	t)−	PROPN
ejpam-4599	330	5	20w2	20w2	NUM
ejpam-4599	330	6	w3x(x	w3x(x	NOUN
ejpam-4599	330	7	,	,	PUNCT
ejpam-4599	330	8	t	t	PROPN
ejpam-4599	330	9	)	)	PUNCT
ejpam-4599	330	10	+	+	SYM
ejpam-4599	330	11	w5x(x	w5x(x	PROPN
ejpam-4599	330	12	,	,	PUNCT
ejpam-4599	330	13	t	t	PROPN
ejpam-4599	330	14	)	)	PUNCT
ejpam-4599	330	15	]	]	X
ejpam-4599	330	16	]	]	PUNCT
ejpam-4599	331	1	,	,	PUNCT
ejpam-4599	331	2	(	(	PUNCT
ejpam-4599	331	3	83	83	NUM
ejpam-4599	331	4	)	)	PUNCT
ejpam-4599	331	5	a.j	a.j	PROPN
ejpam-4599	331	6	.	.	PROPN
ejpam-4599	331	7	mohammed	mohammed	PROPN
ejpam-4599	331	8	,	,	PUNCT
ejpam-4599	331	9	s.t	s.t	PROPN
ejpam-4599	331	10	.	.	PROPN
ejpam-4599	331	11	al	al	PROPN
ejpam-4599	331	12	-	-	PUNCT
ejpam-4599	331	13	ramadhani	ramadhani	ADJ
ejpam-4599	331	14	,	,	PUNCT
ejpam-4599	331	15	r.m.h	r.m.h	NOUN
ejpam-4599	331	16	.	.	PUNCT
ejpam-4599	331	17	darghoth	darghoth	PROPN
ejpam-4599	331	18	/	/	PUNCT
ejpam-4599	331	19	eur	eur	PROPN
ejpam-4599	331	20	.	.	PUNCT
ejpam-4599	332	1	j.	j.	PROPN
ejpam-4599	332	2	pure	pure	PROPN
ejpam-4599	332	3	appl	appl	PROPN
ejpam-4599	332	4	.	.	PROPN
ejpam-4599	332	5	math	math	PROPN
ejpam-4599	332	6	,	,	PUNCT
ejpam-4599	332	7	15	15	NUM
ejpam-4599	332	8	(	(	PUNCT
ejpam-4599	332	9	4	4	NUM
ejpam-4599	332	10	)	)	PUNCT
ejpam-4599	332	11	(	(	PUNCT
ejpam-4599	332	12	2022	2022	NUM
ejpam-4599	332	13	)	)	PUNCT
ejpam-4599	332	14	,	,	PUNCT
ejpam-4599	332	15	1917	1917	NUM
ejpam-4599	332	16	-	-	SYM
ejpam-4599	332	17	1936	1936	NUM
ejpam-4599	332	18	1931	1931	NUM
ejpam-4599	332	19	next	next	ADV
ejpam-4599	332	20	,	,	PUNCT
ejpam-4599	332	21	applying	apply	VERB
ejpam-4599	332	22	the	the	DET
ejpam-4599	332	23	classical	classical	ADJ
ejpam-4599	332	24	iteration	iteration	NOUN
ejpam-4599	332	25	method	method	NOUN
ejpam-4599	332	26	on	on	ADP
ejpam-4599	332	27	eq	eq	ADP
ejpam-4599	332	28	.	.	PUNCT
ejpam-4599	333	1	(	(	PUNCT
ejpam-4599	333	2	83	83	NUM
ejpam-4599	333	3	)	)	PUNCT
ejpam-4599	333	4	wn+1(x	wn+1(x	PROPN
ejpam-4599	333	5	,	,	PUNCT
ejpam-4599	333	6	t	t	PROPN
ejpam-4599	333	7	)	)	PUNCT
ejpam-4599	333	8	=	=	SYM
ejpam-4599	333	9	1	1	NUM
ejpam-4599	333	10	x	x	SYM
ejpam-4599	333	11	−	−	PROPN
ejpam-4599	333	12	k−1[υk[w2	k−1[υk[w2	NOUN
ejpam-4599	333	13	n	n	CCONJ
ejpam-4599	333	14	w{n	w{n	NOUN
ejpam-4599	333	15	,	,	PUNCT
ejpam-4599	333	16	xx}(x	xx}(x	NOUN
ejpam-4599	333	17	,	,	PUNCT
ejpam-4599	333	18	t	t	PROPN
ejpam-4599	333	19	)	)	PUNCT
ejpam-4599	334	1	+	+	CCONJ
ejpam-4599	334	2	w{n	w{n	NOUN
ejpam-4599	334	3	,	,	PUNCT
ejpam-4599	334	4	x}w{n,3x}(x	x}w{n,3x}(x	PROPN
ejpam-4599	334	5	,	,	PUNCT
ejpam-4599	334	6	t)−	t)−	PROPN
ejpam-4599	334	7	20w2	20w2	NUM
ejpam-4599	334	8	n	n	DET
ejpam-4599	334	9	w{n,3x}(x	w{n,3x}(x	NOUN
ejpam-4599	334	10	,	,	PUNCT
ejpam-4599	334	11	t	t	PROPN
ejpam-4599	334	12	)	)	PUNCT
ejpam-4599	334	13	+	+	SYM
ejpam-4599	334	14	w{n,5x}(x	w{n,5x}(x	PROPN
ejpam-4599	334	15	,	,	PUNCT
ejpam-4599	334	16	t	t	PROPN
ejpam-4599	334	17	)	)	PUNCT
ejpam-4599	334	18	]	]	X
ejpam-4599	335	1	]	]	PUNCT
ejpam-4599	335	2	,	,	PUNCT
ejpam-4599	335	3	(	(	PUNCT
ejpam-4599	335	4	84	84	NUM
ejpam-4599	335	5	)	)	PUNCT
ejpam-4599	335	6	where	where	SCONJ
ejpam-4599	335	7	,	,	PUNCT
ejpam-4599	335	8	w0(x	w0(x	PROPN
ejpam-4599	335	9	,	,	PUNCT
ejpam-4599	335	10	t	t	PROPN
ejpam-4599	335	11	)	)	PUNCT
ejpam-4599	335	12	=	=	SYM
ejpam-4599	336	1	1	1	NUM
ejpam-4599	336	2	x	x	X
ejpam-4599	336	3	.	.	PUNCT
ejpam-4599	337	1	then	then	ADV
ejpam-4599	337	2	when	when	SCONJ
ejpam-4599	337	3	n	n	X
ejpam-4599	337	4	=	=	SYM
ejpam-4599	337	5	0	0	NUM
ejpam-4599	337	6	,	,	PUNCT
ejpam-4599	337	7	in	in	ADP
ejpam-4599	337	8	eq	eq	ADP
ejpam-4599	337	9	.	.	PUNCT
ejpam-4599	338	1	(	(	PUNCT
ejpam-4599	338	2	84	84	NUM
ejpam-4599	338	3	)	)	PUNCT
ejpam-4599	338	4	the	the	DET
ejpam-4599	338	5	first	first	ADJ
ejpam-4599	338	6	iteration	iteration	NOUN
ejpam-4599	338	7	will	will	AUX
ejpam-4599	338	8	be	be	AUX
ejpam-4599	338	9	w1(x	w1(x	PROPN
ejpam-4599	338	10	,	,	PUNCT
ejpam-4599	338	11	t	t	PROPN
ejpam-4599	338	12	)	)	PUNCT
ejpam-4599	338	13	=	=	SYM
ejpam-4599	339	1	1	1	NUM
ejpam-4599	339	2	x	x	SYM
ejpam-4599	339	3	−	−	PROPN
ejpam-4599	339	4	k−1[υk[w2	k−1[υk[w2	NOUN
ejpam-4599	339	5	0	0	NUM
ejpam-4599	339	6	w{0,xx}(x	w{0,xx}(x	PROPN
ejpam-4599	339	7	,	,	PUNCT
ejpam-4599	339	8	t	t	PROPN
ejpam-4599	339	9	)	)	PUNCT
ejpam-4599	340	1	+	+	CCONJ
ejpam-4599	340	2	w0,x}w{0,3x}(x	w0,x}w{0,3x}(x	PROPN
ejpam-4599	340	3	,	,	PUNCT
ejpam-4599	340	4	t)−	t)−	PROPN
ejpam-4599	340	5	20w2	20w2	NUM
ejpam-4599	340	6	0	0	NUM
ejpam-4599	340	7	w{0,3x}(x	w{0,3x}(x	PROPN
ejpam-4599	340	8	,	,	PUNCT
ejpam-4599	340	9	t	t	PROPN
ejpam-4599	340	10	)	)	PUNCT
ejpam-4599	340	11	+	+	CCONJ
ejpam-4599	340	12	w{0,5x}(x	w{0,5x}(x	PROPN
ejpam-4599	340	13	,	,	PUNCT
ejpam-4599	340	14	t	t	PROPN
ejpam-4599	340	15	)	)	PUNCT
ejpam-4599	340	16	]	]	X
ejpam-4599	340	17	]	]	X
ejpam-4599	340	18	,	,	PUNCT
ejpam-4599	340	19	w1(x	w1(x	PROPN
ejpam-4599	340	20	,	,	PUNCT
ejpam-4599	340	21	t	t	PROPN
ejpam-4599	340	22	)	)	PUNCT
ejpam-4599	340	23	=	=	SYM
ejpam-4599	341	1	1	1	NUM
ejpam-4599	341	2	x	x	SYM
ejpam-4599	341	3	+	+	NUM
ejpam-4599	341	4	t	t	X
ejpam-4599	341	5	x2	x2	INTJ
ejpam-4599	341	6	,	,	PUNCT
ejpam-4599	341	7	(	(	PUNCT
ejpam-4599	341	8	85	85	NUM
ejpam-4599	341	9	)	)	PUNCT
ejpam-4599	341	10	and	and	CCONJ
ejpam-4599	341	11	when	when	SCONJ
ejpam-4599	341	12	n	n	X
ejpam-4599	341	13	=	=	SYM
ejpam-4599	341	14	1	1	NUM
ejpam-4599	341	15	,	,	PUNCT
ejpam-4599	341	16	yields	yield	NOUN
ejpam-4599	341	17	w2(x	w2(x	PROPN
ejpam-4599	341	18	,	,	PUNCT
ejpam-4599	341	19	t	t	PROPN
ejpam-4599	341	20	)	)	PUNCT
ejpam-4599	341	21	=	=	PUNCT
ejpam-4599	342	1	x−1	x−1	PROPN
ejpam-4599	343	1	+	+	NUM
ejpam-4599	343	2	t	t	PROPN
ejpam-4599	343	3	x2	x2	PROPN
ejpam-4599	344	1	+	+	CCONJ
ejpam-4599	344	2	t2	t2	NOUN
ejpam-4599	344	3	x3	x3	ADJ
ejpam-4599	344	4	−	−	NOUN
ejpam-4599	344	5	3	3	NUM
ejpam-4599	344	6	2	2	NUM
ejpam-4599	344	7	t4	t4	PROPN
ejpam-4599	344	8	x8	x8	PROPN
ejpam-4599	344	9	−	−	PROPN
ejpam-4599	344	10	2	2	NUM
ejpam-4599	344	11	3	3	NUM
ejpam-4599	344	12	t3	t3	NOUN
ejpam-4599	344	13	x7	x7	NOUN
ejpam-4599	344	14	−	−	PROPN
ejpam-4599	344	15	120	120	NUM
ejpam-4599	344	16	t4	t4	PROPN
ejpam-4599	344	17	x9	x9	PROPN
ejpam-4599	344	18	−	−	PROPN
ejpam-4599	344	19	360	360	NUM
ejpam-4599	344	20	t3	t3	PROPN
ejpam-4599	344	21	x8	x8	PROPN
ejpam-4599	344	22	.	.	PUNCT
ejpam-4599	345	1	(	(	PUNCT
ejpam-4599	345	2	86	86	NUM
ejpam-4599	345	3	)	)	PUNCT
ejpam-4599	345	4	figure	figure	NOUN
ejpam-4599	345	5	(	(	PUNCT
ejpam-4599	345	6	5	5	NUM
ejpam-4599	345	7	)	)	PUNCT
ejpam-4599	345	8	display	display	VERB
ejpam-4599	345	9	the	the	DET
ejpam-4599	345	10	sketch	sketch	NOUN
ejpam-4599	345	11	of	of	ADP
ejpam-4599	345	12	w2(x	w2(x	PROPN
ejpam-4599	345	13	,	,	PUNCT
ejpam-4599	345	14	t	t	PROPN
ejpam-4599	345	15	)	)	PUNCT
ejpam-4599	345	16	by	by	ADP
ejpam-4599	345	17	eq	eq	PROPN
ejpam-4599	345	18	.	.	PUNCT
ejpam-4599	346	1	(	(	PUNCT
ejpam-4599	346	2	86	86	NUM
ejpam-4599	346	3	)	)	PUNCT
ejpam-4599	346	4	when	when	SCONJ
ejpam-4599	346	5	n	n	X
ejpam-4599	346	6	=	=	SYM
ejpam-4599	346	7	1	1	NUM
ejpam-4599	346	8	,	,	PUNCT
ejpam-4599	346	9	we	we	PRON
ejpam-4599	346	10	can	can	AUX
ejpam-4599	346	11	see	see	VERB
ejpam-4599	346	12	clearly	clearly	ADV
ejpam-4599	346	13	it	it	PRON
ejpam-4599	346	14	figure	figure	VERB
ejpam-4599	346	15	5	5	NUM
ejpam-4599	346	16	:	:	PUNCT
ejpam-4599	346	17	the	the	DET
ejpam-4599	346	18	plot	plot	NOUN
ejpam-4599	346	19	of	of	ADP
ejpam-4599	346	20	w2(x	w2(x	PROPN
ejpam-4599	346	21	,	,	PUNCT
ejpam-4599	346	22	t	t	PROPN
ejpam-4599	346	23	)	)	PUNCT
ejpam-4599	346	24	given	give	VERB
ejpam-4599	346	25	by	by	ADP
ejpam-4599	346	26	(	(	PUNCT
ejpam-4599	346	27	86	86	NUM
ejpam-4599	346	28	)	)	PUNCT
ejpam-4599	346	29	when	when	SCONJ
ejpam-4599	346	30	n	n	X
ejpam-4599	346	31	=	=	SYM
ejpam-4599	346	32	1	1	X
ejpam-4599	346	33	.	.	PUNCT
ejpam-4599	346	34	is	be	AUX
ejpam-4599	346	35	far	far	ADV
ejpam-4599	346	36	from	from	ADP
ejpam-4599	346	37	our	our	PRON
ejpam-4599	346	38	expectation	expectation	NOUN
ejpam-4599	346	39	,	,	PUNCT
ejpam-4599	346	40	so	so	SCONJ
ejpam-4599	346	41	we	we	PRON
ejpam-4599	346	42	need	need	VERB
ejpam-4599	346	43	to	to	PART
ejpam-4599	346	44	find	find	VERB
ejpam-4599	346	45	the	the	DET
ejpam-4599	346	46	next	next	ADJ
ejpam-4599	346	47	iteration	iteration	NOUN
ejpam-4599	346	48	to	to	PART
ejpam-4599	346	49	see	see	VERB
ejpam-4599	346	50	whether	whether	SCONJ
ejpam-4599	346	51	the	the	DET
ejpam-4599	346	52	next	next	ADJ
ejpam-4599	346	53	iteration	iteration	NOUN
ejpam-4599	346	54	will	will	AUX
ejpam-4599	346	55	be	be	AUX
ejpam-4599	346	56	better	well	ADJ
ejpam-4599	346	57	.	.	PUNCT
ejpam-4599	347	1	when	when	SCONJ
ejpam-4599	347	2	n	n	X
ejpam-4599	347	3	=	=	SYM
ejpam-4599	347	4	2	2	NUM
ejpam-4599	347	5	,	,	PUNCT
ejpam-4599	347	6	the	the	DET
ejpam-4599	347	7	third	third	ADJ
ejpam-4599	347	8	iteration	iteration	NOUN
ejpam-4599	347	9	is	be	AUX
ejpam-4599	347	10	w3(x	w3(x	PROPN
ejpam-4599	347	11	,	,	PUNCT
ejpam-4599	347	12	t	t	PROPN
ejpam-4599	347	13	)	)	PUNCT
ejpam-4599	347	14	=	=	SYM
ejpam-4599	348	1	1621620	1621620	NUM
ejpam-4599	348	2	t3x26	t3x26	NOUN
ejpam-4599	348	3	+	+	CCONJ
ejpam-4599	348	4	1621620	1621620	NUM
ejpam-4599	348	5	t2x27	t2x27	NOUN
ejpam-4599	348	6	+	+	CCONJ
ejpam-4599	348	7	1621620	1621620	NUM
ejpam-4599	349	1	tx28	tx28	PROPN
ejpam-4599	349	2	+	+	CCONJ
ejpam-4599	349	3	1621620x29	1621620x29	ADJ
ejpam-4599	349	4	−	−	NOUN
ejpam-4599	349	5	2779920	2779920	NUM
ejpam-4599	349	6	t7x19−	t7x19−	PROPN
ejpam-4599	349	7	8108100	8108100	NUM
ejpam-4599	349	8	t6x20	t6x20	ADP
ejpam-4599	349	9	−	−	PROPN
ejpam-4599	349	10	8432424	8432424	NUM
ejpam-4599	349	11	t5x21	t5x21	NUM
ejpam-4599	349	12	−	−	PROPN
ejpam-4599	349	13	3513510	3513510	NUM
ejpam-4599	349	14	t4x22	t4x22	NUM
ejpam-4599	349	15	−	−	PROPN
ejpam-4599	349	16	277992000	277992000	NUM
ejpam-4599	349	17	t7x18	t7x18	NOUN
ejpam-4599	349	18	−	−	PROPN
ejpam-4599	349	19	778377600	778377600	NUM
ejpam-4599	349	20	t6x19−	t6x19−	NOUN
ejpam-4599	349	21	−	−	PROPN
ejpam-4599	349	22	1868106240	1868106240	NUM
ejpam-4599	349	23	t5x20	t5x20	NOUN
ejpam-4599	349	24	−	−	NUM
ejpam-4599	349	25	2821618800	2821618800	NUM
ejpam-4599	349	26	t4x21	t4x21	NUM
ejpam-4599	350	1	+	+	CCONJ
ejpam-4599	350	2	25945920	25945920	NUM
ejpam-4599	350	3	t9x14	t9x14	NOUN
ejpam-4599	350	4	+	+	CCONJ
ejpam-4599	350	5	65540475	65540475	NUM
ejpam-4599	350	6	t8x15	t8x15	PRON
ejpam-4599	350	7	+	+	NUM
ejpam-4599	350	8	3397680	3397680	NUM
ejpam-4599	350	9	t7x16−	t7x16−	NOUN
ejpam-4599	350	10	−	−	PROPN
ejpam-4599	350	11	20900880	20900880	NUM
ejpam-4599	350	12	t6x17	t6x17	NOUN
ejpam-4599	350	13	−	−	PROPN
ejpam-4599	350	14	11459448	11459448	NUM
ejpam-4599	350	15	t5x18	t5x18	NOUN
ejpam-4599	350	16	−	−	PROPN
ejpam-4599	350	17	2702700	2702700	NUM
ejpam-4599	350	18	t4x19	t4x19	NOUN
ejpam-4599	351	1	+	+	CCONJ
ejpam-4599	351	2	7005398400	7005398400	NUM
ejpam-4599	351	3	t9x13	t9x13	VERB
ejpam-4599	351	4	+	+	NUM
ejpam-4599	351	5	23724300600	23724300600	NUM
ejpam-4599	351	6	t8x14	t8x14	ADP
ejpam-4599	351	7	+	+	PROPN
ejpam-4599	351	8	a.j	a.j	PROPN
ejpam-4599	351	9	.	.	PROPN
ejpam-4599	351	10	mohammed	mohammed	PROPN
ejpam-4599	351	11	,	,	PUNCT
ejpam-4599	351	12	s.t	s.t	PROPN
ejpam-4599	351	13	.	.	PROPN
ejpam-4599	351	14	al	al	PROPN
ejpam-4599	351	15	-	-	PUNCT
ejpam-4599	351	16	ramadhani	ramadhani	ADJ
ejpam-4599	351	17	,	,	PUNCT
ejpam-4599	351	18	r.m.h	r.m.h	NOUN
ejpam-4599	351	19	.	.	PUNCT
ejpam-4599	351	20	darghoth	darghoth	PROPN
ejpam-4599	351	21	/	/	PUNCT
ejpam-4599	351	22	eur	eur	PROPN
ejpam-4599	351	23	.	.	PUNCT
ejpam-4599	352	1	j.	j.	PROPN
ejpam-4599	352	2	pure	pure	PROPN
ejpam-4599	352	3	appl	appl	PROPN
ejpam-4599	352	4	.	.	PROPN
ejpam-4599	352	5	math	math	PROPN
ejpam-4599	352	6	,	,	PUNCT
ejpam-4599	352	7	15	15	NUM
ejpam-4599	352	8	(	(	PUNCT
ejpam-4599	352	9	4	4	NUM
ejpam-4599	352	10	)	)	PUNCT
ejpam-4599	352	11	(	(	PUNCT
ejpam-4599	352	12	2022	2022	NUM
ejpam-4599	352	13	)	)	PUNCT
ejpam-4599	352	14	,	,	PUNCT
ejpam-4599	352	15	1917	1917	NUM
ejpam-4599	352	16	-	-	SYM
ejpam-4599	352	17	1936	1936	NUM
ejpam-4599	352	18	1932	1932	NUM
ejpam-4599	352	19	33016183200	33016183200	NUM
ejpam-4599	353	1	t7x15	t7x15	NUM
ejpam-4599	353	2	+	+	NUM
ejpam-4599	353	3	11578366800	11578366800	NUM
ejpam-4599	353	4	t6x16	t6x16	NOUN
ejpam-4599	353	5	−	−	PROPN
ejpam-4599	353	6	38776177440	38776177440	NUM
ejpam-4599	353	7	t5x17	t5x17	ADV
ejpam-4599	353	8	−	−	PROPN
ejpam-4599	353	9	13945932000	13945932000	NUM
ejpam-4599	353	10	t4x18	t4x18	NOUN
ejpam-4599	353	11	+	+	SYM
ejpam-4599	353	12	479999520000	479999520000	NUM
ejpam-4599	353	13	t9x12	t9x12	X
ejpam-4599	353	14	+	+	NUM
ejpam-4599	353	15	2270916648000	2270916648000	NUM
ejpam-4599	353	16	t8x13	t8x13	SYM
ejpam-4599	353	17	+	+	NUM
ejpam-4599	353	18	4433416416000	4433416416000	NUM
ejpam-4599	354	1	t7x14	t7x14	PRON
ejpam-4599	354	2	+	+	NUM
ejpam-4599	354	3	5876750880000	5876750880000	NUM
ejpam-4599	354	4	t6x15−	t6x15−	PROPN
ejpam-4599	354	5	1727998272000	1727998272000	NUM
ejpam-4599	354	6	t5x16	t5x16	NOUN
ejpam-4599	354	7	−	−	PROPN
ejpam-4599	354	8	11734042320000	11734042320000	NUM
ejpam-4599	354	9	t4x17	t4x17	VERB
ejpam-4599	355	1	−	−	NUM
ejpam-4599	355	2	51744420	51744420	NUM
ejpam-4599	355	3	t11x9	t11x9	NOUN
ejpam-4599	355	4	−	−	PROPN
ejpam-4599	355	5	100135035	100135035	NUM
ejpam-4599	355	6	t10x10	t10x10	NOUN
ejpam-4599	355	7	+	+	NUM
ejpam-4599	355	8	116105990	116105990	NUM
ejpam-4599	355	9	t9x11	t9x11	ADP
ejpam-4599	355	10	+	+	NOUN
ejpam-4599	355	11	129639510	129639510	NUM
ejpam-4599	355	12	t8x12	t8x12	X
ejpam-4599	355	13	+	+	NUM
ejpam-4599	355	14	28622880	28622880	NUM
ejpam-4599	355	15	t7x13	t7x13	NOUN
ejpam-4599	355	16	−	−	NUM
ejpam-4599	355	17	19185238800	19185238800	NUM
ejpam-4599	355	18	t11x8	t11x8	NUM
ejpam-4599	355	19	−	−	PROPN
ejpam-4599	355	20	.	.	PUNCT
ejpam-4599	355	21	.	.	PUNCT
ejpam-4599	355	22	.	.	PUNCT
ejpam-4599	356	1	,	,	PUNCT
ejpam-4599	356	2	(	(	PUNCT
ejpam-4599	356	3	87	87	NUM
ejpam-4599	356	4	)	)	PUNCT
ejpam-4599	356	5	figure	figure	NOUN
ejpam-4599	356	6	(	(	PUNCT
ejpam-4599	356	7	6	6	NUM
ejpam-4599	356	8	)	)	PUNCT
ejpam-4599	356	9	shows	show	VERB
ejpam-4599	356	10	the	the	DET
ejpam-4599	356	11	sketch	sketch	NOUN
ejpam-4599	356	12	of	of	ADP
ejpam-4599	356	13	w3(x	w3(x	PROPN
ejpam-4599	356	14	,	,	PUNCT
ejpam-4599	356	15	t	t	PROPN
ejpam-4599	356	16	)	)	PUNCT
ejpam-4599	356	17	when	when	SCONJ
ejpam-4599	356	18	n	n	X
ejpam-4599	356	19	=	=	SYM
ejpam-4599	356	20	2	2	X
ejpam-4599	356	21	.	.	PUNCT
ejpam-4599	357	1	in	in	ADP
ejpam-4599	357	2	addition	addition	NOUN
ejpam-4599	357	3	,	,	PUNCT
ejpam-4599	357	4	as	as	ADP
ejpam-4599	357	5	n	n	X
ejpam-4599	357	6	→	→	SYM
ejpam-4599	357	7	∞	∞	PROPN
ejpam-4599	357	8	,	,	PUNCT
ejpam-4599	357	9	the	the	DET
ejpam-4599	357	10	wn+1	wn+1	NOUN
ejpam-4599	357	11	has	have	AUX
ejpam-4599	357	12	figure	figure	VERB
ejpam-4599	357	13	6	6	NUM
ejpam-4599	357	14	:	:	PUNCT
ejpam-4599	357	15	the	the	DET
ejpam-4599	357	16	figure	figure	NOUN
ejpam-4599	357	17	shows	show	VERB
ejpam-4599	357	18	the	the	DET
ejpam-4599	357	19	un	un	PROPN
ejpam-4599	357	20	stability	stability	NOUN
ejpam-4599	357	21	of	of	ADP
ejpam-4599	357	22	the	the	DET
ejpam-4599	357	23	approximate	approximate	ADJ
ejpam-4599	357	24	solution	solution	NOUN
ejpam-4599	357	25	due	due	ADP
ejpam-4599	357	26	to	to	ADP
ejpam-4599	357	27	the	the	DET
ejpam-4599	357	28	higher	high	ADJ
ejpam-4599	357	29	order	order	NOUN
ejpam-4599	357	30	noise	noise	NOUN
ejpam-4599	357	31	terms	term	NOUN
ejpam-4599	357	32	in	in	ADP
ejpam-4599	357	33	the	the	DET
ejpam-4599	357	34	iteration	iteration	NOUN
ejpam-4599	357	35	in	in	ADP
ejpam-4599	357	36	eq	eq	ADP
ejpam-4599	357	37	.	.	PUNCT
ejpam-4599	358	1	(	(	PUNCT
ejpam-4599	358	2	87	87	NUM
ejpam-4599	358	3	)	)	PUNCT
ejpam-4599	358	4	when	when	SCONJ
ejpam-4599	358	5	n	n	X
ejpam-4599	358	6	=	=	SYM
ejpam-4599	358	7	2	2	X
ejpam-4599	358	8	.	.	NOUN
ejpam-4599	358	9	unnecessary	unnecessary	ADJ
ejpam-4599	358	10	(	(	PUNCT
ejpam-4599	358	11	noise	noise	NOUN
ejpam-4599	358	12	)	)	PUNCT
ejpam-4599	358	13	terms	term	NOUN
ejpam-4599	358	14	which	which	PRON
ejpam-4599	358	15	makes	make	VERB
ejpam-4599	358	16	the	the	DET
ejpam-4599	358	17	approximate	approximate	ADJ
ejpam-4599	358	18	solution	solution	NOUN
ejpam-4599	358	19	looks	look	VERB
ejpam-4599	358	20	divergent	divergent	ADJ
ejpam-4599	358	21	from	from	ADP
ejpam-4599	358	22	the	the	DET
ejpam-4599	358	23	exact	exact	ADJ
ejpam-4599	358	24	solution	solution	NOUN
ejpam-4599	358	25	.	.	PUNCT
ejpam-4599	359	1	this	this	DET
ejpam-4599	359	2	case	case	NOUN
ejpam-4599	359	3	will	will	AUX
ejpam-4599	359	4	happen	happen	VERB
ejpam-4599	359	5	when	when	SCONJ
ejpam-4599	359	6	we	we	PRON
ejpam-4599	359	7	try	try	VERB
ejpam-4599	359	8	to	to	PART
ejpam-4599	359	9	use	use	VERB
ejpam-4599	359	10	the	the	DET
ejpam-4599	359	11	ci	ci	NOUN
ejpam-4599	359	12	method	method	NOUN
ejpam-4599	359	13	instead	instead	ADV
ejpam-4599	359	14	of	of	ADP
ejpam-4599	359	15	the	the	DET
ejpam-4599	359	16	mi	mi	PROPN
ejpam-4599	359	17	method	method	NOUN
ejpam-4599	359	18	for	for	ADP
ejpam-4599	359	19	the	the	DET
ejpam-4599	359	20	above	above	ADJ
ejpam-4599	359	21	examples	example	NOUN
ejpam-4599	359	22	(	(	PUNCT
ejpam-4599	359	23	1,2	1,2	NUM
ejpam-4599	359	24	)	)	PUNCT
ejpam-4599	359	25	and	and	CCONJ
ejpam-4599	359	26	(	(	PUNCT
ejpam-4599	359	27	4	4	NUM
ejpam-4599	359	28	)	)	PUNCT
ejpam-4599	359	29	.	.	PUNCT
ejpam-4599	360	1	5	5	X
ejpam-4599	360	2	.	.	X
ejpam-4599	360	3	discussion	discussion	NOUN
ejpam-4599	360	4	kamal	kamal	PROPN
ejpam-4599	360	5	transform	transform	NOUN
ejpam-4599	360	6	has	have	AUX
ejpam-4599	360	7	been	be	AUX
ejpam-4599	360	8	used	use	VERB
ejpam-4599	360	9	recently	recently	ADV
ejpam-4599	360	10	in	in	ADP
ejpam-4599	360	11	a	a	DET
ejpam-4599	360	12	combination	combination	NOUN
ejpam-4599	360	13	with	with	ADP
ejpam-4599	360	14	another	another	DET
ejpam-4599	360	15	method	method	NOUN
ejpam-4599	360	16	to	to	PART
ejpam-4599	360	17	solve	solve	VERB
ejpam-4599	360	18	nonlinear	nonlinear	ADJ
ejpam-4599	360	19	differential	differential	ADJ
ejpam-4599	360	20	equations	equation	NOUN
ejpam-4599	360	21	[	[	X
ejpam-4599	360	22	18	18	NUM
ejpam-4599	360	23	,	,	PUNCT
ejpam-4599	360	24	22	22	NUM
ejpam-4599	360	25	]	]	PUNCT
ejpam-4599	360	26	.	.	PUNCT
ejpam-4599	361	1	in	in	ADP
ejpam-4599	361	2	this	this	DET
ejpam-4599	361	3	work	work	NOUN
ejpam-4599	361	4	,	,	PUNCT
ejpam-4599	361	5	we	we	PRON
ejpam-4599	361	6	use	use	VERB
ejpam-4599	361	7	kt	kt	NOUN
ejpam-4599	361	8	in	in	ADP
ejpam-4599	361	9	combination	combination	NOUN
ejpam-4599	361	10	with	with	ADP
ejpam-4599	361	11	the	the	DET
ejpam-4599	361	12	it	it	PRON
ejpam-4599	361	13	method	method	NOUN
ejpam-4599	361	14	to	to	PART
ejpam-4599	361	15	solve	solve	VERB
ejpam-4599	361	16	the	the	DET
ejpam-4599	361	17	kdv	kdv	NOUN
ejpam-4599	361	18	eq	eq	ADJ
ejpam-4599	361	19	.	.	PUNCT
ejpam-4599	362	1	our	our	PRON
ejpam-4599	362	2	analysis	analysis	NOUN
ejpam-4599	362	3	shows	show	VERB
ejpam-4599	362	4	that	that	SCONJ
ejpam-4599	362	5	using	use	VERB
ejpam-4599	362	6	the	the	DET
ejpam-4599	362	7	kt	kt	PROPN
ejpam-4599	362	8	and	and	CCONJ
ejpam-4599	362	9	the	the	DET
ejpam-4599	362	10	classical	classical	ADJ
ejpam-4599	362	11	iteration	iteration	NOUN
ejpam-4599	362	12	method	method	NOUN
ejpam-4599	362	13	can	can	AUX
ejpam-4599	362	14	lead	lead	VERB
ejpam-4599	362	15	to	to	ADP
ejpam-4599	362	16	divergent	divergent	ADJ
ejpam-4599	362	17	series	series	NOUN
ejpam-4599	362	18	of	of	ADP
ejpam-4599	362	19	approximate	approximate	ADJ
ejpam-4599	362	20	solutions	solution	NOUN
ejpam-4599	362	21	due	due	ADP
ejpam-4599	362	22	to	to	ADP
ejpam-4599	362	23	the	the	DET
ejpam-4599	362	24	high	high	ADJ
ejpam-4599	362	25	order	order	NOUN
ejpam-4599	362	26	terms	term	NOUN
ejpam-4599	362	27	induced	induce	VERB
ejpam-4599	362	28	during	during	ADP
ejpam-4599	362	29	the	the	DET
ejpam-4599	362	30	iterations	iteration	NOUN
ejpam-4599	362	31	causing	cause	VERB
ejpam-4599	362	32	high	high	ADJ
ejpam-4599	362	33	noise	noise	NOUN
ejpam-4599	362	34	and	and	CCONJ
ejpam-4599	362	35	error	error	NOUN
ejpam-4599	362	36	in	in	ADP
ejpam-4599	362	37	the	the	DET
ejpam-4599	362	38	calculation	calculation	NOUN
ejpam-4599	362	39	as	as	SCONJ
ejpam-4599	362	40	shown	show	VERB
ejpam-4599	362	41	in	in	ADP
ejpam-4599	362	42	section	section	NOUN
ejpam-4599	362	43	(	(	PUNCT
ejpam-4599	362	44	4	4	NUM
ejpam-4599	362	45	)	)	PUNCT
ejpam-4599	362	46	.	.	PUNCT
ejpam-4599	363	1	however	however	ADV
ejpam-4599	363	2	,	,	PUNCT
ejpam-4599	363	3	modifying	modify	VERB
ejpam-4599	363	4	the	the	DET
ejpam-4599	363	5	iteration	iteration	NOUN
ejpam-4599	363	6	method	method	NOUN
ejpam-4599	363	7	by	by	ADP
ejpam-4599	363	8	removing	remove	VERB
ejpam-4599	363	9	the	the	DET
ejpam-4599	363	10	noise	noise	NOUN
ejpam-4599	363	11	terms	term	NOUN
ejpam-4599	363	12	and	and	CCONJ
ejpam-4599	363	13	combining	combine	VERB
ejpam-4599	363	14	them	they	PRON
ejpam-4599	363	15	with	with	ADP
ejpam-4599	363	16	the	the	DET
ejpam-4599	363	17	kt	kt	PROPN
ejpam-4599	363	18	leads	lead	VERB
ejpam-4599	363	19	to	to	ADP
ejpam-4599	363	20	better	well	ADJ
ejpam-4599	363	21	approximation	approximation	NOUN
ejpam-4599	363	22	results	result	NOUN
ejpam-4599	363	23	since	since	SCONJ
ejpam-4599	363	24	the	the	DET
ejpam-4599	363	25	series	series	NOUN
ejpam-4599	363	26	of	of	ADP
ejpam-4599	363	27	the	the	DET
ejpam-4599	363	28	solutions	solution	NOUN
ejpam-4599	363	29	converges	converge	VERB
ejpam-4599	363	30	fast	fast	ADV
ejpam-4599	363	31	to	to	ADP
ejpam-4599	363	32	the	the	DET
ejpam-4599	363	33	accurate	accurate	ADJ
ejpam-4599	363	34	solution	solution	NOUN
ejpam-4599	363	35	as	as	SCONJ
ejpam-4599	363	36	shown	show	VERB
ejpam-4599	363	37	in	in	ADP
ejpam-4599	363	38	the	the	DET
ejpam-4599	363	39	examples	example	NOUN
ejpam-4599	363	40	in	in	ADP
ejpam-4599	363	41	section	section	NOUN
ejpam-4599	363	42	(	(	PUNCT
ejpam-4599	363	43	3	3	NUM
ejpam-4599	363	44	)	)	PUNCT
ejpam-4599	363	45	.	.	PUNCT
ejpam-4599	364	1	the	the	DET
ejpam-4599	364	2	semi	semi	ADJ
ejpam-4599	364	3	-	-	ADJ
ejpam-4599	364	4	analytical	analytical	ADJ
ejpam-4599	364	5	k	k	PROPN
ejpam-4599	364	6	-	-	PROPN
ejpam-4599	364	7	mi	mi	PROPN
ejpam-4599	364	8	method	method	NOUN
ejpam-4599	364	9	is	be	AUX
ejpam-4599	364	10	used	use	VERB
ejpam-4599	364	11	to	to	PART
ejpam-4599	364	12	solve	solve	VERB
ejpam-4599	364	13	the	the	DET
ejpam-4599	364	14	homogeneous	homogeneous	ADJ
ejpam-4599	364	15	and	and	CCONJ
ejpam-4599	364	16	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	364	17	mkdv	mkdv	NOUN
ejpam-4599	364	18	eq	eq	ADP
ejpam-4599	364	19	.	.	PUNCT
ejpam-4599	364	20	and	and	CCONJ
ejpam-4599	364	21	fkdv	fkdv	VERB
ejpam-4599	364	22	eq	eq	ADP
ejpam-4599	364	23	.	.	PUNCT
ejpam-4599	365	1	this	this	DET
ejpam-4599	365	2	method	method	NOUN
ejpam-4599	365	3	begins	begin	VERB
ejpam-4599	365	4	with	with	ADP
ejpam-4599	365	5	the	the	DET
ejpam-4599	365	6	initial	initial	ADJ
ejpam-4599	365	7	condition	condition	NOUN
ejpam-4599	365	8	w(x	w(x	PROPN
ejpam-4599	365	9	,	,	PUNCT
ejpam-4599	365	10	0	0	NUM
ejpam-4599	365	11	)	)	PUNCT
ejpam-4599	365	12	as	as	ADP
ejpam-4599	365	13	the	the	DET
ejpam-4599	365	14	first	first	ADJ
ejpam-4599	365	15	approximate	approximate	ADJ
ejpam-4599	365	16	solution	solution	NOUN
ejpam-4599	365	17	w0(x	w0(x	PROPN
ejpam-4599	365	18	,	,	PUNCT
ejpam-4599	365	19	t	t	PROPN
ejpam-4599	365	20	)	)	PUNCT
ejpam-4599	365	21	,	,	PUNCT
ejpam-4599	365	22	then	then	ADV
ejpam-4599	365	23	,	,	PUNCT
ejpam-4599	365	24	we	we	PRON
ejpam-4599	365	25	apply	apply	VERB
ejpam-4599	365	26	the	the	DET
ejpam-4599	365	27	kt	kt	PROPN
ejpam-4599	365	28	and	and	CCONJ
ejpam-4599	365	29	mi	mi	PROPN
ejpam-4599	365	30	method	method	NOUN
ejpam-4599	365	31	to	to	PART
ejpam-4599	365	32	construct	construct	VERB
ejpam-4599	365	33	the	the	DET
ejpam-4599	365	34	other	other	ADJ
ejpam-4599	365	35	iterations	iteration	NOUN
ejpam-4599	365	36	.	.	PUNCT
ejpam-4599	366	1	each	each	DET
ejpam-4599	366	2	iteration	iteration	NOUN
ejpam-4599	366	3	is	be	AUX
ejpam-4599	366	4	an	an	DET
ejpam-4599	366	5	approximate	approximate	ADJ
ejpam-4599	366	6	solution	solution	NOUN
ejpam-4599	366	7	of	of	ADP
ejpam-4599	366	8	the	the	DET
ejpam-4599	366	9	pde	pde	NOUN
ejpam-4599	366	10	.	.	PUNCT
ejpam-4599	367	1	the	the	DET
ejpam-4599	367	2	approximate	approximate	ADJ
ejpam-4599	367	3	solution	solution	NOUN
ejpam-4599	367	4	is	be	AUX
ejpam-4599	367	5	a	a	DET
ejpam-4599	367	6	polynomial	polynomial	NOUN
ejpam-4599	367	7	in	in	ADP
ejpam-4599	367	8	the	the	DET
ejpam-4599	367	9	variable	variable	ADJ
ejpam-4599	367	10	t	t	PROPN
ejpam-4599	367	11	of	of	ADP
ejpam-4599	367	12	a	a	DET
ejpam-4599	367	13	degree	degree	NOUN
ejpam-4599	367	14	equal	equal	ADJ
ejpam-4599	367	15	to	to	ADP
ejpam-4599	367	16	the	the	DET
ejpam-4599	367	17	order	order	NOUN
ejpam-4599	367	18	of	of	ADP
ejpam-4599	367	19	the	the	DET
ejpam-4599	367	20	iteration	iteration	NOUN
ejpam-4599	367	21	,	,	PUNCT
ejpam-4599	367	22	hence	hence	ADV
ejpam-4599	367	23	,	,	PUNCT
ejpam-4599	367	24	it	it	PRON
ejpam-4599	367	25	is	be	AUX
ejpam-4599	367	26	not	not	PART
ejpam-4599	367	27	bounded	bound	VERB
ejpam-4599	367	28	as	as	ADP
ejpam-4599	367	29	|t|	|t|	PROPN
ejpam-4599	367	30	→	→	SYM
ejpam-4599	367	31	∞.	∞.	PROPN
ejpam-4599	367	32	however	however	ADV
ejpam-4599	367	33	,	,	PUNCT
ejpam-4599	367	34	in	in	ADP
ejpam-4599	367	35	many	many	ADJ
ejpam-4599	367	36	cases	case	NOUN
ejpam-4599	367	37	,	,	PUNCT
ejpam-4599	367	38	one	one	NUM
ejpam-4599	367	39	can	can	AUX
ejpam-4599	367	40	references	reference	VERB
ejpam-4599	367	41	1933	1933	NUM
ejpam-4599	367	42	deduce	deduce	VERB
ejpam-4599	367	43	an	an	DET
ejpam-4599	367	44	infinite	infinite	ADJ
ejpam-4599	367	45	series	series	NOUN
ejpam-4599	367	46	by	by	ADP
ejpam-4599	367	47	taking	take	VERB
ejpam-4599	367	48	the	the	DET
ejpam-4599	367	49	limit	limit	NOUN
ejpam-4599	367	50	of	of	ADP
ejpam-4599	367	51	the	the	DET
ejpam-4599	367	52	iteration	iteration	NOUN
ejpam-4599	367	53	.	.	PUNCT
ejpam-4599	368	1	when	when	SCONJ
ejpam-4599	368	2	the	the	DET
ejpam-4599	368	3	deduced	deduce	VERB
ejpam-4599	368	4	series	series	NOUN
ejpam-4599	368	5	is	be	AUX
ejpam-4599	368	6	comparable	comparable	ADJ
ejpam-4599	368	7	to	to	ADP
ejpam-4599	368	8	the	the	DET
ejpam-4599	368	9	taylor	taylor	PROPN
ejpam-4599	368	10	expansion	expansion	NOUN
ejpam-4599	368	11	of	of	ADP
ejpam-4599	368	12	a	a	DET
ejpam-4599	368	13	known	know	VERB
ejpam-4599	368	14	function	function	NOUN
ejpam-4599	368	15	,	,	PUNCT
ejpam-4599	368	16	then	then	ADV
ejpam-4599	368	17	the	the	DET
ejpam-4599	368	18	exact	exact	ADJ
ejpam-4599	368	19	solution	solution	NOUN
ejpam-4599	368	20	is	be	AUX
ejpam-4599	368	21	inferred	infer	VERB
ejpam-4599	368	22	from	from	ADP
ejpam-4599	368	23	our	our	PRON
ejpam-4599	368	24	semi	semi	ADJ
ejpam-4599	368	25	-	-	ADJ
ejpam-4599	368	26	analytic	analytic	ADJ
ejpam-4599	368	27	method	method	NOUN
ejpam-4599	368	28	,	,	PUNCT
ejpam-4599	368	29	as	as	SCONJ
ejpam-4599	368	30	we	we	PRON
ejpam-4599	368	31	have	have	AUX
ejpam-4599	368	32	shown	show	VERB
ejpam-4599	368	33	in	in	ADP
ejpam-4599	368	34	our	our	PRON
ejpam-4599	368	35	examples	example	NOUN
ejpam-4599	368	36	.	.	PUNCT
ejpam-4599	369	1	in	in	ADP
ejpam-4599	369	2	example	example	NOUN
ejpam-4599	369	3	(	(	PUNCT
ejpam-4599	369	4	1	1	NUM
ejpam-4599	369	5	)	)	PUNCT
ejpam-4599	369	6	,	,	PUNCT
ejpam-4599	369	7	the	the	DET
ejpam-4599	369	8	exact	exact	ADJ
ejpam-4599	369	9	solution	solution	NOUN
ejpam-4599	369	10	of	of	ADP
ejpam-4599	369	11	the	the	DET
ejpam-4599	369	12	homogeneous	homogeneous	ADJ
ejpam-4599	369	13	kdv	kdv	NOUN
ejpam-4599	369	14	equation	equation	NOUN
ejpam-4599	369	15	is	be	AUX
ejpam-4599	369	16	shown	show	VERB
ejpam-4599	369	17	in	in	ADP
ejpam-4599	369	18	figure	figure	NOUN
ejpam-4599	369	19	(	(	PUNCT
ejpam-4599	369	20	1	1	NUM
ejpam-4599	369	21	)	)	PUNCT
ejpam-4599	369	22	.	.	PUNCT
ejpam-4599	370	1	the	the	DET
ejpam-4599	370	2	solution	solution	NOUN
ejpam-4599	370	3	is	be	AUX
ejpam-4599	370	4	called	call	VERB
ejpam-4599	370	5	soliton	soliton	NOUN
ejpam-4599	370	6	which	which	PRON
ejpam-4599	370	7	is	be	AUX
ejpam-4599	370	8	a	a	DET
ejpam-4599	370	9	traveling	travel	VERB
ejpam-4599	370	10	wave	wave	NOUN
ejpam-4599	370	11	that	that	PRON
ejpam-4599	370	12	maintains	maintain	VERB
ejpam-4599	370	13	its	its	PRON
ejpam-4599	370	14	amplitude	amplitude	NOUN
ejpam-4599	370	15	for	for	ADP
ejpam-4599	370	16	a	a	DET
ejpam-4599	370	17	long	long	ADJ
ejpam-4599	370	18	distance	distance	NOUN
ejpam-4599	370	19	while	while	SCONJ
ejpam-4599	370	20	vanishing	vanish	VERB
ejpam-4599	370	21	as	as	ADP
ejpam-4599	370	22	|x|	|x|	PROPN
ejpam-4599	370	23	→	→	SYM
ejpam-4599	370	24	∞.	∞.	PROPN
ejpam-4599	370	25	in	in	ADP
ejpam-4599	370	26	example	example	NOUN
ejpam-4599	370	27	(	(	PUNCT
ejpam-4599	370	28	2	2	NUM
ejpam-4599	370	29	)	)	PUNCT
ejpam-4599	370	30	,	,	PUNCT
ejpam-4599	370	31	the	the	DET
ejpam-4599	370	32	exact	exact	ADJ
ejpam-4599	370	33	solution	solution	NOUN
ejpam-4599	370	34	of	of	ADP
ejpam-4599	370	35	the	the	DET
ejpam-4599	370	36	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4599	370	37	mkdv	mkdv	NOUN
ejpam-4599	370	38	equation	equation	NOUN
ejpam-4599	370	39	is	be	AUX
ejpam-4599	370	40	an	an	DET
ejpam-4599	370	41	odd	odd	ADJ
ejpam-4599	370	42	polynomial	polynomial	NOUN
ejpam-4599	370	43	that	that	PRON
ejpam-4599	370	44	is	be	AUX
ejpam-4599	370	45	not	not	PART
ejpam-4599	370	46	bounded	bound	VERB
ejpam-4599	370	47	as	as	SCONJ
ejpam-4599	370	48	shown	show	VERB
ejpam-4599	370	49	in	in	ADP
ejpam-4599	370	50	figure	figure	NOUN
ejpam-4599	370	51	(	(	PUNCT
ejpam-4599	370	52	2	2	NUM
ejpam-4599	370	53	)	)	PUNCT
ejpam-4599	370	54	.	.	PUNCT
ejpam-4599	371	1	in	in	ADP
ejpam-4599	371	2	example	example	NOUN
ejpam-4599	371	3	(	(	PUNCT
ejpam-4599	371	4	3	3	X
ejpam-4599	371	5	)	)	PUNCT
ejpam-4599	371	6	the	the	DET
ejpam-4599	371	7	solution	solution	NOUN
ejpam-4599	371	8	of	of	ADP
ejpam-4599	371	9	the	the	DET
ejpam-4599	371	10	homogeneous	homogeneous	ADJ
ejpam-4599	371	11	fkdv	fkdv	NOUN
ejpam-4599	371	12	equation	equation	NOUN
ejpam-4599	371	13	has	have	VERB
ejpam-4599	371	14	a	a	DET
ejpam-4599	371	15	discontinuity	discontinuity	NOUN
ejpam-4599	371	16	at	at	ADP
ejpam-4599	371	17	x	x	X
ejpam-4599	371	18	=	=	SYM
ejpam-4599	371	19	t	t	PROPN
ejpam-4599	371	20	while	while	SCONJ
ejpam-4599	371	21	decaying	decay	VERB
ejpam-4599	371	22	to	to	ADP
ejpam-4599	371	23	zero	zero	NUM
ejpam-4599	371	24	as	as	ADP
ejpam-4599	371	25	|x|	|x|	PROPN
ejpam-4599	371	26	→	→	SYM
ejpam-4599	371	27	∞	∞	PROPN
ejpam-4599	371	28	,	,	PUNCT
ejpam-4599	371	29	hence	hence	ADV
ejpam-4599	371	30	,	,	PUNCT
ejpam-4599	371	31	the	the	DET
ejpam-4599	371	32	equation	equation	NOUN
ejpam-4599	371	33	in	in	ADP
ejpam-4599	371	34	example	example	NOUN
ejpam-4599	371	35	(	(	PUNCT
ejpam-4599	371	36	3	3	X
ejpam-4599	371	37	)	)	PUNCT
ejpam-4599	371	38	admits	admit	VERB
ejpam-4599	371	39	a	a	DET
ejpam-4599	371	40	singular	singular	ADJ
ejpam-4599	371	41	solution	solution	NOUN
ejpam-4599	371	42	.	.	PUNCT
ejpam-4599	372	1	the	the	DET
ejpam-4599	372	2	solution	solution	NOUN
ejpam-4599	372	3	of	of	ADP
ejpam-4599	372	4	the	the	DET
ejpam-4599	372	5	nonhomogenous	nonhomogenous	ADJ
ejpam-4599	372	6	fkdv	fkdv	NOUN
ejpam-4599	372	7	eq	eq	ADP
ejpam-4599	372	8	.	.	PUNCT
ejpam-4599	373	1	in	in	ADP
ejpam-4599	373	2	example	example	NOUN
ejpam-4599	373	3	(	(	PUNCT
ejpam-4599	373	4	4	4	X
ejpam-4599	373	5	)	)	PUNCT
ejpam-4599	373	6	is	be	AUX
ejpam-4599	373	7	a	a	DET
ejpam-4599	373	8	periodic	periodic	ADJ
ejpam-4599	373	9	sine	sine	ADJ
ejpam-4599	373	10	wave	wave	NOUN
ejpam-4599	373	11	as	as	SCONJ
ejpam-4599	373	12	shown	show	VERB
ejpam-4599	373	13	in	in	ADP
ejpam-4599	373	14	figure	figure	NOUN
ejpam-4599	373	15	(	(	PUNCT
ejpam-4599	373	16	4	4	NUM
ejpam-4599	373	17	)	)	PUNCT
ejpam-4599	373	18	.	.	PUNCT
ejpam-4599	374	1	figure	figure	NOUN
ejpam-4599	374	2	(	(	PUNCT
ejpam-4599	374	3	5	5	NUM
ejpam-4599	374	4	)	)	PUNCT
ejpam-4599	374	5	,	,	PUNCT
ejpam-4599	374	6	illustrates	illustrate	VERB
ejpam-4599	374	7	the	the	DET
ejpam-4599	374	8	approximate	approximate	ADJ
ejpam-4599	374	9	solution	solution	NOUN
ejpam-4599	374	10	of	of	ADP
ejpam-4599	374	11	equation	equation	NOUN
ejpam-4599	374	12	(	(	PUNCT
ejpam-4599	374	13	87	87	NUM
ejpam-4599	374	14	)	)	PUNCT
ejpam-4599	374	15	obtained	obtain	VERB
ejpam-4599	374	16	after	after	ADP
ejpam-4599	374	17	2	2	NUM
ejpam-4599	374	18	iterations	iteration	NOUN
ejpam-4599	374	19	(	(	PUNCT
ejpam-4599	374	20	n	n	NOUN
ejpam-4599	374	21	=	=	SYM
ejpam-4599	374	22	0	0	NUM
ejpam-4599	374	23	,	,	PUNCT
ejpam-4599	374	24	1	1	NUM
ejpam-4599	374	25	)	)	PUNCT
ejpam-4599	374	26	using	use	VERB
ejpam-4599	374	27	the	the	DET
ejpam-4599	374	28	ci	ci	PROPN
ejpam-4599	374	29	method	method	NOUN
ejpam-4599	374	30	.	.	PUNCT
ejpam-4599	375	1	both	both	DET
ejpam-4599	375	2	approximate	approximate	ADJ
ejpam-4599	375	3	solutions	solution	NOUN
ejpam-4599	375	4	w1	w1	NOUN
ejpam-4599	375	5	and	and	CCONJ
ejpam-4599	375	6	w2	w2	NOUN
ejpam-4599	375	7	are	be	AUX
ejpam-4599	375	8	polynomials	polynomial	NOUN
ejpam-4599	375	9	in	in	ADP
ejpam-4599	375	10	the	the	DET
ejpam-4599	375	11	variable	variable	ADJ
ejpam-4599	375	12	t	t	PROPN
ejpam-4599	375	13	,	,	PUNCT
ejpam-4599	375	14	therefore	therefore	ADV
ejpam-4599	375	15	,	,	PUNCT
ejpam-4599	375	16	they	they	PRON
ejpam-4599	375	17	are	be	AUX
ejpam-4599	375	18	unbounded	unbounded	ADJ
ejpam-4599	375	19	along	along	ADP
ejpam-4599	375	20	time	time	NOUN
ejpam-4599	375	21	progress	progress	NOUN
ejpam-4599	375	22	.	.	PUNCT
ejpam-4599	376	1	however	however	ADV
ejpam-4599	376	2	,	,	PUNCT
ejpam-4599	376	3	the	the	DET
ejpam-4599	376	4	error	error	NOUN
ejpam-4599	376	5	of	of	ADP
ejpam-4599	376	6	the	the	DET
ejpam-4599	376	7	approximate	approximate	ADJ
ejpam-4599	376	8	solution	solution	NOUN
ejpam-4599	376	9	of	of	ADP
ejpam-4599	376	10	the	the	DET
ejpam-4599	376	11	classical	classical	ADJ
ejpam-4599	376	12	iterations	iteration	NOUN
ejpam-4599	376	13	method	method	NOUN
ejpam-4599	376	14	is	be	AUX
ejpam-4599	376	15	higher	high	ADJ
ejpam-4599	376	16	than	than	ADP
ejpam-4599	376	17	the	the	DET
ejpam-4599	376	18	error	error	NOUN
ejpam-4599	376	19	of	of	ADP
ejpam-4599	376	20	the	the	DET
ejpam-4599	376	21	modified	modify	VERB
ejpam-4599	376	22	iterations	iteration	NOUN
ejpam-4599	376	23	method	method	NOUN
ejpam-4599	376	24	.	.	PUNCT
ejpam-4599	377	1	the	the	DET
ejpam-4599	377	2	error	error	NOUN
ejpam-4599	377	3	induced	induce	VERB
ejpam-4599	377	4	by	by	ADP
ejpam-4599	377	5	the	the	DET
ejpam-4599	377	6	polynomial	polynomial	ADJ
ejpam-4599	377	7	terms	term	NOUN
ejpam-4599	377	8	of	of	ADP
ejpam-4599	377	9	degree	degree	NOUN
ejpam-4599	377	10	higher	high	ADJ
ejpam-4599	377	11	than	than	ADP
ejpam-4599	377	12	the	the	DET
ejpam-4599	377	13	iteration	iteration	NOUN
ejpam-4599	377	14	order	order	NOUN
ejpam-4599	377	15	n	n	NOUN
ejpam-4599	377	16	=	=	SYM
ejpam-4599	377	17	3	3	NUM
ejpam-4599	377	18	which	which	PRON
ejpam-4599	377	19	cause	cause	VERB
ejpam-4599	377	20	high	high	ADJ
ejpam-4599	377	21	noise	noise	NOUN
ejpam-4599	377	22	in	in	ADP
ejpam-4599	377	23	the	the	DET
ejpam-4599	377	24	calculation	calculation	NOUN
ejpam-4599	377	25	,	,	PUNCT
ejpam-4599	377	26	see	see	VERB
ejpam-4599	377	27	figure(6	figure(6	NOUN
ejpam-4599	377	28	)	)	PUNCT
ejpam-4599	377	29	.	.	PUNCT
ejpam-4599	378	1	removing	remove	VERB
ejpam-4599	378	2	the	the	DET
ejpam-4599	378	3	noise	noise	NOUN
ejpam-4599	378	4	terms	term	NOUN
ejpam-4599	378	5	in	in	ADP
ejpam-4599	378	6	the	the	DET
ejpam-4599	378	7	modified	modify	VERB
ejpam-4599	378	8	iterations	iteration	NOUN
ejpam-4599	378	9	method	method	NOUN
ejpam-4599	378	10	leads	lead	VERB
ejpam-4599	378	11	to	to	ADP
ejpam-4599	378	12	better	well	ADJ
ejpam-4599	378	13	convergence	convergence	NOUN
ejpam-4599	378	14	towards	towards	ADP
ejpam-4599	378	15	the	the	DET
ejpam-4599	378	16	exact	exact	ADJ
ejpam-4599	378	17	solution	solution	NOUN
ejpam-4599	378	18	,	,	PUNCT
ejpam-4599	378	19	see	see	VERB
ejpam-4599	378	20	figure(3	figure(3	NOUN
ejpam-4599	378	21	)	)	PUNCT
ejpam-4599	378	22	.	.	PUNCT
ejpam-4599	379	1	6	6	X
ejpam-4599	379	2	.	.	X
ejpam-4599	379	3	conclusion	conclusion	NOUN
ejpam-4599	379	4	in	in	ADP
ejpam-4599	379	5	this	this	DET
ejpam-4599	379	6	work	work	NOUN
ejpam-4599	379	7	,	,	PUNCT
ejpam-4599	379	8	the	the	DET
ejpam-4599	379	9	semi	semi	ADJ
ejpam-4599	379	10	-	-	ADJ
ejpam-4599	379	11	analytical	analytical	ADJ
ejpam-4599	379	12	kamal	kamal	PROPN
ejpam-4599	379	13	transform	transform	NOUN
ejpam-4599	379	14	combined	combine	VERB
ejpam-4599	379	15	to	to	ADP
ejpam-4599	379	16	the	the	DET
ejpam-4599	379	17	modified	modify	VERB
ejpam-4599	379	18	iteration	iteration	NOUN
ejpam-4599	379	19	method	method	NOUN
ejpam-4599	379	20	(	(	PUNCT
ejpam-4599	379	21	k	k	NOUN
ejpam-4599	379	22	-	-	PUNCT
ejpam-4599	379	23	mi	mi	PROPN
ejpam-4599	379	24	method	method	NOUN
ejpam-4599	379	25	)	)	PUNCT
ejpam-4599	379	26	has	have	AUX
ejpam-4599	379	27	been	be	AUX
ejpam-4599	379	28	used	use	VERB
ejpam-4599	379	29	to	to	PART
ejpam-4599	379	30	extract	extract	VERB
ejpam-4599	379	31	approximate	approximate	ADJ
ejpam-4599	379	32	solutions	solution	NOUN
ejpam-4599	379	33	for	for	ADP
ejpam-4599	379	34	various	various	ADJ
ejpam-4599	379	35	examples	example	NOUN
ejpam-4599	379	36	of	of	ADP
ejpam-4599	379	37	the	the	DET
ejpam-4599	379	38	non	non	ADJ
ejpam-4599	379	39	-	-	ADJ
ejpam-4599	379	40	homogeneous	homogeneous	ADJ
ejpam-4599	379	41	kdv	kdv	NOUN
ejpam-4599	379	42	equation	equation	NOUN
ejpam-4599	379	43	.	.	PUNCT
ejpam-4599	380	1	in	in	ADP
ejpam-4599	380	2	addition	addition	NOUN
ejpam-4599	380	3	,	,	PUNCT
ejpam-4599	380	4	by	by	ADP
ejpam-4599	380	5	considering	consider	VERB
ejpam-4599	380	6	the	the	DET
ejpam-4599	380	7	limit	limit	NOUN
ejpam-4599	380	8	series	series	NOUN
ejpam-4599	380	9	of	of	ADP
ejpam-4599	380	10	the	the	DET
ejpam-4599	380	11	approximate	approximate	ADJ
ejpam-4599	380	12	solutions	solution	NOUN
ejpam-4599	380	13	as	as	ADP
ejpam-4599	380	14	taylors	taylor	NOUN
ejpam-4599	380	15	’	’	PART
ejpam-4599	380	16	expansions	expansion	NOUN
ejpam-4599	380	17	of	of	ADP
ejpam-4599	380	18	known	know	VERB
ejpam-4599	380	19	functions	function	NOUN
ejpam-4599	380	20	,	,	PUNCT
ejpam-4599	380	21	we	we	PRON
ejpam-4599	380	22	inferred	infer	VERB
ejpam-4599	380	23	the	the	DET
ejpam-4599	380	24	exact	exact	ADJ
ejpam-4599	380	25	solutions	solution	NOUN
ejpam-4599	380	26	of	of	ADP
ejpam-4599	380	27	the	the	DET
ejpam-4599	380	28	considered	consider	VERB
ejpam-4599	380	29	equations	equation	NOUN
ejpam-4599	380	30	.	.	PUNCT
ejpam-4599	381	1	the	the	DET
ejpam-4599	381	2	exact	exact	ADJ
ejpam-4599	381	3	solutions	solution	NOUN
ejpam-4599	381	4	of	of	ADP
ejpam-4599	381	5	the	the	DET
ejpam-4599	381	6	considered	consider	VERB
ejpam-4599	381	7	equations	equation	NOUN
ejpam-4599	381	8	varied	varied	ADJ
ejpam-4599	381	9	from	from	ADP
ejpam-4599	381	10	polynomial	polynomial	ADJ
ejpam-4599	381	11	,	,	PUNCT
ejpam-4599	381	12	periodic	periodic	ADJ
ejpam-4599	381	13	and	and	CCONJ
ejpam-4599	381	14	even	even	ADV
ejpam-4599	381	15	discontinuous	discontinuous	ADJ
ejpam-4599	381	16	singular	singular	ADJ
ejpam-4599	381	17	solution	solution	NOUN
ejpam-4599	381	18	.	.	PUNCT
ejpam-4599	382	1	moreover	moreover	ADV
ejpam-4599	382	2	,	,	PUNCT
ejpam-4599	382	3	we	we	PRON
ejpam-4599	382	4	showed	show	VERB
ejpam-4599	382	5	the	the	DET
ejpam-4599	382	6	outweigh	outweigh	NOUN
ejpam-4599	382	7	of	of	ADP
ejpam-4599	382	8	the	the	DET
ejpam-4599	382	9	modified	modify	VERB
ejpam-4599	382	10	iterations	iteration	NOUN
ejpam-4599	382	11	method	method	NOUN
ejpam-4599	382	12	over	over	ADP
ejpam-4599	382	13	the	the	DET
ejpam-4599	382	14	classical	classical	ADJ
ejpam-4599	382	15	iterations	iteration	NOUN
ejpam-4599	382	16	method	method	NOUN
ejpam-4599	382	17	since	since	SCONJ
ejpam-4599	382	18	the	the	DET
ejpam-4599	382	19	latter	latter	ADJ
ejpam-4599	382	20	method	method	NOUN
ejpam-4599	382	21	can	can	AUX
ejpam-4599	382	22	suffer	suffer	VERB
ejpam-4599	382	23	from	from	ADP
ejpam-4599	382	24	slow	slow	ADJ
ejpam-4599	382	25	convergence	convergence	NOUN
ejpam-4599	382	26	of	of	ADP
ejpam-4599	382	27	the	the	DET
ejpam-4599	382	28	approximations	approximation	NOUN
ejpam-4599	382	29	to	to	ADP
ejpam-4599	382	30	the	the	DET
ejpam-4599	382	31	exact	exact	ADJ
ejpam-4599	382	32	solution	solution	NOUN
ejpam-4599	382	33	.	.	PUNCT
ejpam-4599	383	1	due	due	ADP
ejpam-4599	383	2	to	to	ADP
ejpam-4599	383	3	the	the	DET
ejpam-4599	383	4	generated	generate	VERB
ejpam-4599	383	5	noise	noise	NOUN
ejpam-4599	383	6	terms	term	NOUN
ejpam-4599	383	7	,	,	PUNCT
ejpam-4599	383	8	those	those	PRON
ejpam-4599	383	9	are	be	AUX
ejpam-4599	383	10	eliminated	eliminate	VERB
ejpam-4599	383	11	in	in	ADP
ejpam-4599	383	12	the	the	DET
ejpam-4599	383	13	mi	mi	PROPN
ejpam-4599	383	14	method	method	NOUN
ejpam-4599	383	15	.	.	PUNCT
ejpam-4599	384	1	acknowledgements	acknowledgement	NOUN
ejpam-4599	384	2	this	this	DET
ejpam-4599	384	3	work	work	NOUN
ejpam-4599	384	4	is	be	AUX
ejpam-4599	384	5	supported	support	VERB
ejpam-4599	384	6	by	by	ADP
ejpam-4599	384	7	the	the	DET
ejpam-4599	384	8	”	"	PUNCT
ejpam-4599	384	9	college	college	NOUN
ejpam-4599	384	10	of	of	ADP
ejpam-4599	384	11	education	education	NOUN
ejpam-4599	384	12	for	for	ADP
ejpam-4599	384	13	pure	pure	ADJ
ejpam-4599	384	14	sciences	science	NOUN
ejpam-4599	384	15	and	and	CCONJ
ejpam-4599	384	16	the	the	DET
ejpam-4599	384	17	college	college	NOUN
ejpam-4599	384	18	of	of	ADP
ejpam-4599	384	19	basic	basic	ADJ
ejpam-4599	384	20	education	education	NOUN
ejpam-4599	384	21	in	in	ADP
ejpam-4599	384	22	the	the	DET
ejpam-4599	384	23	university	university	PROPN
ejpam-4599	384	24	of	of	ADP
ejpam-4599	384	25	mosul	mosul	PROPN
ejpam-4599	384	26	,	,	PUNCT
ejpam-4599	384	27	iraq	iraq	PROPN
ejpam-4599	384	28	”	"	PUNCT
ejpam-4599	384	29	.	.	PUNCT
ejpam-4599	385	1	references	reference	NOUN
ejpam-4599	385	2	[	[	X
ejpam-4599	385	3	1	1	NUM
ejpam-4599	385	4	]	]	X
ejpam-4599	385	5	s	s	PART
ejpam-4599	385	6	abbasbandy	abbasbandy	NOUN
ejpam-4599	385	7	.	.	PUNCT
ejpam-4599	386	1	homotopy	homotopy	VERB
ejpam-4599	386	2	analysis	analysis	NOUN
ejpam-4599	386	3	method	method	NOUN
ejpam-4599	386	4	for	for	ADP
ejpam-4599	386	5	the	the	DET
ejpam-4599	386	6	kawahara	kawahara	PROPN
ejpam-4599	386	7	equation	equation	NOUN
ejpam-4599	386	8	.	.	PUNCT
ejpam-4599	387	1	nonlinear	nonlinear	ADJ
ejpam-4599	387	2	analysis	analysis	NOUN
ejpam-4599	387	3	:	:	PUNCT
ejpam-4599	387	4	real	real	ADJ
ejpam-4599	387	5	world	world	NOUN
ejpam-4599	387	6	applications	application	NOUN
ejpam-4599	387	7	,	,	PUNCT
ejpam-4599	387	8	11(1):307–312	11(1):307–312	PROPN
ejpam-4599	387	9	,	,	PUNCT
ejpam-4599	387	10	2010	2010	NUM
ejpam-4599	387	11	.	.	PUNCT
ejpam-4599	388	1	references	reference	NOUN
ejpam-4599	388	2	1934	1934	NUM
ejpam-4599	389	1	[	[	X
ejpam-4599	389	2	2	2	NUM
ejpam-4599	389	3	]	]	PUNCT
ejpam-4599	389	4	k	k	PROPN
ejpam-4599	389	5	abdelilah	abdelilah	PROPN
ejpam-4599	389	6	and	and	CCONJ
ejpam-4599	389	7	sedeeg	sedeeg	PROPN
ejpam-4599	389	8	hassan	hassan	PROPN
ejpam-4599	389	9	.	.	PUNCT
ejpam-4599	390	1	the	the	DET
ejpam-4599	390	2	use	use	NOUN
ejpam-4599	390	3	of	of	ADP
ejpam-4599	390	4	kamal	kamal	PROPN
ejpam-4599	390	5	transform	transform	NOUN
ejpam-4599	390	6	for	for	ADP
ejpam-4599	390	7	solving	solve	VERB
ejpam-4599	390	8	partial	partial	ADJ
ejpam-4599	390	9	differential	differential	ADJ
ejpam-4599	390	10	equations	equation	NOUN
ejpam-4599	390	11	.	.	PUNCT
ejpam-4599	391	1	advances	advance	NOUN
ejpam-4599	391	2	in	in	ADP
ejpam-4599	391	3	theoretical	theoretical	ADJ
ejpam-4599	391	4	and	and	CCONJ
ejpam-4599	391	5	applied	applied	ADJ
ejpam-4599	391	6	mathematics	mathematic	NOUN
ejpam-4599	391	7	,	,	PUNCT
ejpam-4599	391	8	12(1):7–13	12(1):7–13	NUM
ejpam-4599	391	9	,	,	PUNCT
ejpam-4599	391	10	2017	2017	NUM
ejpam-4599	391	11	.	.	PUNCT
ejpam-4599	392	1	[	[	X
ejpam-4599	392	2	3	3	X
ejpam-4599	392	3	]	]	PUNCT
ejpam-4599	392	4	mark	mark	NOUN
ejpam-4599	392	5	j	j	PROPN
ejpam-4599	392	6	ablowitz	ablowitz	PROPN
ejpam-4599	392	7	,	,	PUNCT
ejpam-4599	392	8	xu	xu	PROPN
ejpam-4599	392	9	-	-	PUNCT
ejpam-4599	392	10	dan	dan	PROPN
ejpam-4599	392	11	luo	luo	PROPN
ejpam-4599	392	12	,	,	PUNCT
ejpam-4599	392	13	and	and	CCONJ
ejpam-4599	392	14	ziad	ziad	PROPN
ejpam-4599	392	15	h	h	PROPN
ejpam-4599	392	16	musslimani	musslimani	PROPN
ejpam-4599	392	17	.	.	PUNCT
ejpam-4599	393	1	discrete	discrete	ADJ
ejpam-4599	393	2	nonlocal	nonlocal	ADJ
ejpam-4599	393	3	nonlinear	nonlinear	PROPN
ejpam-4599	393	4	schrödinger	schrödinger	NOUN
ejpam-4599	393	5	systems	system	NOUN
ejpam-4599	393	6	:	:	PUNCT
ejpam-4599	393	7	integrability	integrability	NOUN
ejpam-4599	393	8	,	,	PUNCT
ejpam-4599	393	9	inverse	inverse	NOUN
ejpam-4599	393	10	scattering	scattering	NOUN
ejpam-4599	393	11	and	and	CCONJ
ejpam-4599	393	12	solitons	soliton	NOUN
ejpam-4599	393	13	.	.	PUNCT
ejpam-4599	394	1	nonlinearity	nonlinearity	NOUN
ejpam-4599	394	2	,	,	PUNCT
ejpam-4599	394	3	33(7):3653	33(7):3653	NUM
ejpam-4599	394	4	,	,	PUNCT
ejpam-4599	394	5	2020	2020	NUM
ejpam-4599	394	6	.	.	PUNCT
ejpam-4599	395	1	[	[	X
ejpam-4599	395	2	4	4	X
ejpam-4599	395	3	]	]	PUNCT
ejpam-4599	395	4	adebayo	adebayo	PROPN
ejpam-4599	395	5	o	o	PROPN
ejpam-4599	395	6	adewumi	adewumi	PROPN
ejpam-4599	395	7	,	,	PUNCT
ejpam-4599	395	8	saheed	sahee	VERB
ejpam-4599	395	9	o	o	NOUN
ejpam-4599	395	10	akindeinde	akindeinde	NOUN
ejpam-4599	395	11	,	,	PUNCT
ejpam-4599	395	12	adebayo	adebayo	PROPN
ejpam-4599	395	13	a	a	DET
ejpam-4599	395	14	aderogba	aderogba	PROPN
ejpam-4599	395	15	,	,	PUNCT
ejpam-4599	395	16	and	and	CCONJ
ejpam-4599	395	17	babatunde	babatunde	PROPN
ejpam-4599	395	18	s	s	PART
ejpam-4599	395	19	ogundare	ogundare	NOUN
ejpam-4599	395	20	.	.	PUNCT
ejpam-4599	396	1	laplace	laplace	NOUN
ejpam-4599	396	2	transform	transform	NOUN
ejpam-4599	396	3	collocation	collocation	NOUN
ejpam-4599	396	4	method	method	NOUN
ejpam-4599	396	5	for	for	ADP
ejpam-4599	396	6	solving	solve	VERB
ejpam-4599	396	7	hyperbolic	hyperbolic	ADJ
ejpam-4599	396	8	telegraph	telegraph	NOUN
ejpam-4599	396	9	equation	equation	NOUN
ejpam-4599	396	10	.	.	PUNCT
ejpam-4599	397	1	international	international	ADJ
ejpam-4599	397	2	journal	journal	NOUN
ejpam-4599	397	3	of	of	ADP
ejpam-4599	397	4	engineering	engineering	NOUN
ejpam-4599	397	5	mathematics	mathematic	NOUN
ejpam-4599	397	6	,	,	PUNCT
ejpam-4599	397	7	2017:1–9	2017:1–9	NUM
ejpam-4599	397	8	,	,	PUNCT
ejpam-4599	397	9	2017	2017	NUM
ejpam-4599	397	10	.	.	PUNCT
ejpam-4599	398	1	[	[	X
ejpam-4599	398	2	5	5	NUM
ejpam-4599	398	3	]	]	PUNCT
ejpam-4599	398	4	sudhanshu	sudhanshu	NOUN
ejpam-4599	398	5	aggarwal	aggarwal	PROPN
ejpam-4599	398	6	,	,	PUNCT
ejpam-4599	398	7	nidhi	nidhi	PROPN
ejpam-4599	398	8	sharma	sharma	PROPN
ejpam-4599	398	9	,	,	PUNCT
ejpam-4599	398	10	and	and	CCONJ
ejpam-4599	398	11	raman	raman	NOUN
ejpam-4599	398	12	chauhan	chauhan	PROPN
ejpam-4599	398	13	.	.	PUNCT
ejpam-4599	398	14	application	application	NOUN
ejpam-4599	398	15	of	of	ADP
ejpam-4599	398	16	kamal	kamal	PROPN
ejpam-4599	398	17	transform	transform	NOUN
ejpam-4599	398	18	for	for	ADP
ejpam-4599	398	19	solving	solve	VERB
ejpam-4599	398	20	linear	linear	PROPN
ejpam-4599	398	21	volterra	volterra	NOUN
ejpam-4599	398	22	integral	integral	ADJ
ejpam-4599	398	23	equations	equation	NOUN
ejpam-4599	398	24	of	of	ADP
ejpam-4599	398	25	first	first	ADJ
ejpam-4599	398	26	kind	kind	NOUN
ejpam-4599	398	27	.	.	PUNCT
ejpam-4599	399	1	international	international	ADJ
ejpam-4599	399	2	journal	journal	PROPN
ejpam-4599	399	3	of	of	ADP
ejpam-4599	399	4	research	research	NOUN
ejpam-4599	399	5	in	in	ADP
ejpam-4599	399	6	advent	advent	ADJ
ejpam-4599	399	7	technology	technology	NOUN
ejpam-4599	399	8	,	,	PUNCT
ejpam-4599	399	9	6(8):2081–2088	6(8):2081–2088	PROPN
ejpam-4599	399	10	,	,	PUNCT
ejpam-4599	399	11	2018	2018	NUM
ejpam-4599	399	12	.	.	PUNCT
ejpam-4599	400	1	[	[	X
ejpam-4599	400	2	6	6	NUM
ejpam-4599	400	3	]	]	PUNCT
ejpam-4599	400	4	artan	artan	PROPN
ejpam-4599	400	5	f	f	PROPN
ejpam-4599	400	6	alidema	alidema	PROPN
ejpam-4599	400	7	.	.	PUNCT
ejpam-4599	401	1	applications	application	NOUN
ejpam-4599	401	2	of	of	ADP
ejpam-4599	401	3	double	double	ADJ
ejpam-4599	401	4	fuzzy	fuzzy	ADJ
ejpam-4599	401	5	sumudu	sumudu	NOUN
ejpam-4599	401	6	adomain	adomain	NOUN
ejpam-4599	401	7	decompositon	decompositon	NOUN
ejpam-4599	401	8	method	method	NOUN
ejpam-4599	401	9	for	for	ADP
ejpam-4599	401	10	two	two	NUM
ejpam-4599	401	11	-	-	PUNCT
ejpam-4599	401	12	dimensional	dimensional	ADJ
ejpam-4599	401	13	volterra	volterra	NOUN
ejpam-4599	401	14	fuzzy	fuzzy	ADJ
ejpam-4599	401	15	integral	integral	ADJ
ejpam-4599	401	16	equations	equation	NOUN
ejpam-4599	401	17	.	.	PUNCT
ejpam-4599	402	1	european	european	ADJ
ejpam-4599	402	2	journal	journal	PROPN
ejpam-4599	402	3	of	of	ADP
ejpam-4599	402	4	pure	pure	ADJ
ejpam-4599	402	5	and	and	CCONJ
ejpam-4599	402	6	applied	applied	ADJ
ejpam-4599	402	7	mathematics	mathematic	NOUN
ejpam-4599	402	8	,	,	PUNCT
ejpam-4599	402	9	15(3):1363–1375	15(3):1363–1375	NUM
ejpam-4599	402	10	,	,	PUNCT
ejpam-4599	402	11	2022	2022	NUM
ejpam-4599	402	12	.	.	PUNCT
ejpam-4599	403	1	[	[	X
ejpam-4599	403	2	7	7	NUM
ejpam-4599	403	3	]	]	SYM
ejpam-4599	403	4	seval	seval	NOUN
ejpam-4599	403	5	catal	catal	PROPN
ejpam-4599	403	6	.	.	PUNCT
ejpam-4599	404	1	response	response	NOUN
ejpam-4599	404	2	of	of	ADP
ejpam-4599	404	3	forced	force	VERB
ejpam-4599	404	4	euler	euler	NOUN
ejpam-4599	404	5	-	-	PUNCT
ejpam-4599	404	6	bernoulli	bernoulli	NOUN
ejpam-4599	404	7	beams	beam	NOUN
ejpam-4599	404	8	using	use	VERB
ejpam-4599	404	9	differential	differential	ADJ
ejpam-4599	404	10	transform	transform	NOUN
ejpam-4599	404	11	method	method	NOUN
ejpam-4599	404	12	.	.	PUNCT
ejpam-4599	405	1	structural	structural	ADJ
ejpam-4599	405	2	engineering	engineering	NOUN
ejpam-4599	405	3	and	and	CCONJ
ejpam-4599	405	4	mechanics	mechanic	NOUN
ejpam-4599	405	5	:	:	PUNCT
ejpam-4599	405	6	an	an	DET
ejpam-4599	405	7	international	international	ADJ
ejpam-4599	405	8	journal	journal	NOUN
ejpam-4599	405	9	,	,	PUNCT
ejpam-4599	405	10	42(1):95	42(1):95	PROPN
ejpam-4599	405	11	–	–	PUNCT
ejpam-4599	405	12	119	119	NUM
ejpam-4599	405	13	,	,	PUNCT
ejpam-4599	405	14	2012	2012	NUM
ejpam-4599	405	15	.	.	PUNCT
ejpam-4599	406	1	[	[	X
ejpam-4599	406	2	8	8	NUM
ejpam-4599	406	3	]	]	PUNCT
ejpam-4599	406	4	dg	dg	PROPN
ejpam-4599	406	5	crighton	crighton	NOUN
ejpam-4599	406	6	.	.	PUNCT
ejpam-4599	407	1	applications	application	NOUN
ejpam-4599	407	2	of	of	ADP
ejpam-4599	407	3	kdv	kdv	NOUN
ejpam-4599	407	4	.	.	PUNCT
ejpam-4599	408	1	in	in	ADP
ejpam-4599	408	2	kdv’95	kdv’95	PROPN
ejpam-4599	408	3	,	,	PUNCT
ejpam-4599	408	4	pages	page	NOUN
ejpam-4599	408	5	39–67	39–67	NUM
ejpam-4599	408	6	.	.	PUNCT
ejpam-4599	408	7	springer	springer	NOUN
ejpam-4599	408	8	,	,	PUNCT
ejpam-4599	408	9	1995	1995	NUM
ejpam-4599	408	10	.	.	PUNCT
ejpam-4599	409	1	[	[	X
ejpam-4599	409	2	9	9	NUM
ejpam-4599	409	3	]	]	X
ejpam-4599	409	4	philip	philip	PROPN
ejpam-4599	409	5	g	g	PROPN
ejpam-4599	409	6	drazin	drazin	PROPN
ejpam-4599	409	7	and	and	CCONJ
ejpam-4599	409	8	robin	robin	PROPN
ejpam-4599	409	9	stanley	stanley	PROPN
ejpam-4599	409	10	johnson	johnson	PROPN
ejpam-4599	409	11	.	.	PUNCT
ejpam-4599	410	1	solitons	soliton	NOUN
ejpam-4599	410	2	:	:	PUNCT
ejpam-4599	410	3	an	an	DET
ejpam-4599	410	4	introduction	introduction	NOUN
ejpam-4599	410	5	,	,	PUNCT
ejpam-4599	410	6	volume	volume	NOUN
ejpam-4599	410	7	2	2	NUM
ejpam-4599	410	8	.	.	PROPN
ejpam-4599	410	9	cambridge	cambridge	PROPN
ejpam-4599	410	10	university	university	PROPN
ejpam-4599	410	11	press	press	NOUN
ejpam-4599	410	12	,	,	PUNCT
ejpam-4599	410	13	1989	1989	NUM
ejpam-4599	410	14	.	.	PUNCT
ejpam-4599	411	1	[	[	X
ejpam-4599	411	2	10	10	NUM
ejpam-4599	411	3	]	]	X
ejpam-4599	411	4	ma	ma	PROPN
ejpam-4599	411	5	el	el	PROPN
ejpam-4599	411	6	-	-	PROPN
ejpam-4599	411	7	tawi	tawi	PROPN
ejpam-4599	411	8	and	and	CCONJ
ejpam-4599	411	9	hn	hn	PROPN
ejpam-4599	411	10	hassan	hassan	PROPN
ejpam-4599	411	11	.	.	PUNCT
ejpam-4599	412	1	a	a	DET
ejpam-4599	412	2	new	new	ADJ
ejpam-4599	412	3	application	application	NOUN
ejpam-4599	412	4	of	of	ADP
ejpam-4599	412	5	using	use	VERB
ejpam-4599	412	6	homotopy	homotopy	NOUN
ejpam-4599	412	7	analysis	analysis	NOUN
ejpam-4599	412	8	method	method	NOUN
ejpam-4599	412	9	for	for	ADP
ejpam-4599	412	10	solving	solve	VERB
ejpam-4599	412	11	stochastic	stochastic	ADJ
ejpam-4599	412	12	quadratic	quadratic	ADJ
ejpam-4599	412	13	nonlinear	nonlinear	ADJ
ejpam-4599	412	14	diffusion	diffusion	NOUN
ejpam-4599	412	15	equation	equation	NOUN
ejpam-4599	412	16	.	.	PUNCT
ejpam-4599	413	1	int	int	NOUN
ejpam-4599	413	2	.	.	PUNCT
ejpam-4599	414	1	j.	j.	PROPN
ejpam-4599	414	2	of	of	ADP
ejpam-4599	414	3	appl	appl	PROPN
ejpam-4599	414	4	math	math	PROPN
ejpam-4599	414	5	and	and	CCONJ
ejpam-4599	414	6	mech	mech	NOUN
ejpam-4599	414	7	,	,	PUNCT
ejpam-4599	414	8	9(16):35–55	9(16):35–55	NUM
ejpam-4599	414	9	,	,	PUNCT
ejpam-4599	414	10	2013	2013	NUM
ejpam-4599	414	11	.	.	PUNCT
ejpam-4599	415	1	[	[	X
ejpam-4599	415	2	11	11	NUM
ejpam-4599	415	3	]	]	X
ejpam-4599	415	4	clifford	clifford	PROPN
ejpam-4599	415	5	s	s	PROPN
ejpam-4599	415	6	gardner	gardner	PROPN
ejpam-4599	415	7	,	,	PUNCT
ejpam-4599	415	8	john	john	PROPN
ejpam-4599	415	9	m	m	PROPN
ejpam-4599	415	10	greene	greene	PROPN
ejpam-4599	415	11	,	,	PUNCT
ejpam-4599	415	12	martin	martin	PROPN
ejpam-4599	415	13	d	d	PROPN
ejpam-4599	415	14	kruskal	kruskal	PROPN
ejpam-4599	415	15	,	,	PUNCT
ejpam-4599	415	16	and	and	CCONJ
ejpam-4599	415	17	robert	robert	PROPN
ejpam-4599	415	18	m	m	PROPN
ejpam-4599	415	19	miura	miura	PROPN
ejpam-4599	415	20	.	.	PROPN
ejpam-4599	415	21	method	method	NOUN
ejpam-4599	415	22	for	for	ADP
ejpam-4599	415	23	solving	solve	VERB
ejpam-4599	415	24	the	the	DET
ejpam-4599	415	25	korteweg	korteweg	NOUN
ejpam-4599	415	26	-	-	PUNCT
ejpam-4599	415	27	devries	devries	PROPN
ejpam-4599	415	28	equation	equation	NOUN
ejpam-4599	415	29	.	.	PUNCT
ejpam-4599	416	1	physical	physical	ADJ
ejpam-4599	416	2	review	review	NOUN
ejpam-4599	416	3	letters	letter	NOUN
ejpam-4599	416	4	,	,	PUNCT
ejpam-4599	416	5	19(19):1095	19(19):1095	NUM
ejpam-4599	416	6	,	,	PUNCT
ejpam-4599	416	7	1967	1967	NUM
ejpam-4599	416	8	.	.	PUNCT
ejpam-4599	417	1	[	[	X
ejpam-4599	417	2	12	12	NUM
ejpam-4599	417	3	]	]	X
ejpam-4599	417	4	georgi	georgi	PROPN
ejpam-4599	417	5	g	g	PROPN
ejpam-4599	417	6	grahovski	grahovski	PROPN
ejpam-4599	417	7	,	,	PUNCT
ejpam-4599	417	8	amal	amal	PROPN
ejpam-4599	417	9	j	j	PROPN
ejpam-4599	417	10	mohammed	mohammed	PROPN
ejpam-4599	417	11	,	,	PUNCT
ejpam-4599	417	12	and	and	CCONJ
ejpam-4599	417	13	hadi	hadi	PROPN
ejpam-4599	417	14	susanto	susanto	PROPN
ejpam-4599	417	15	.	.	PUNCT
ejpam-4599	418	1	nonlocal	nonlocal	ADJ
ejpam-4599	418	2	reductions	reduction	NOUN
ejpam-4599	418	3	of	of	ADP
ejpam-4599	418	4	the	the	DET
ejpam-4599	418	5	ablowitz	ablowitz	NOUN
ejpam-4599	418	6	–	–	PUNCT
ejpam-4599	418	7	ladik	ladik	VERB
ejpam-4599	418	8	equation	equation	NOUN
ejpam-4599	418	9	.	.	PUNCT
ejpam-4599	419	1	theoretical	theoretical	ADJ
ejpam-4599	419	2	and	and	CCONJ
ejpam-4599	419	3	mathematical	mathematical	ADJ
ejpam-4599	419	4	physics	physics	NOUN
ejpam-4599	419	5	,	,	PUNCT
ejpam-4599	419	6	197(1):1412	197(1):1412	PROPN
ejpam-4599	419	7	–	–	PUNCT
ejpam-4599	419	8	1429	1429	NUM
ejpam-4599	419	9	,	,	PUNCT
ejpam-4599	419	10	2018	2018	NUM
ejpam-4599	419	11	.	.	PUNCT
ejpam-4599	420	1	[	[	X
ejpam-4599	420	2	13	13	NUM
ejpam-4599	420	3	]	]	X
ejpam-4599	420	4	georgi	georgi	PROPN
ejpam-4599	420	5	g	g	PROPN
ejpam-4599	420	6	grahovski	grahovski	PROPN
ejpam-4599	420	7	,	,	PUNCT
ejpam-4599	420	8	junaid	junaid	VERB
ejpam-4599	420	9	i	i	PRON
ejpam-4599	420	10	mustafa	mustafa	PROPN
ejpam-4599	420	11	,	,	PUNCT
ejpam-4599	420	12	and	and	CCONJ
ejpam-4599	420	13	hadi	hadi	PROPN
ejpam-4599	420	14	susanto	susanto	PROPN
ejpam-4599	420	15	.	.	PUNCT
ejpam-4599	421	1	nonlocal	nonlocal	ADJ
ejpam-4599	421	2	reductions	reduction	NOUN
ejpam-4599	421	3	of	of	ADP
ejpam-4599	421	4	the	the	DET
ejpam-4599	421	5	multicomponent	multicomponent	NOUN
ejpam-4599	421	6	nonlinear	nonlinear	PROPN
ejpam-4599	421	7	schrödinger	schrödinger	NOUN
ejpam-4599	421	8	equation	equation	NOUN
ejpam-4599	421	9	on	on	ADP
ejpam-4599	421	10	symmetric	symmetric	ADJ
ejpam-4599	421	11	spaces	space	NOUN
ejpam-4599	421	12	.	.	PUNCT
ejpam-4599	422	1	theoretical	theoretical	ADJ
ejpam-4599	422	2	and	and	CCONJ
ejpam-4599	422	3	mathematical	mathematical	ADJ
ejpam-4599	422	4	physics	physics	NOUN
ejpam-4599	422	5	,	,	PUNCT
ejpam-4599	422	6	197(1):1430–1450	197(1):1430–1450	PROPN
ejpam-4599	422	7	,	,	PUNCT
ejpam-4599	422	8	2018	2018	NUM
ejpam-4599	422	9	.	.	PUNCT
ejpam-4599	423	1	[	[	X
ejpam-4599	423	2	14	14	NUM
ejpam-4599	423	3	]	]	X
ejpam-4599	423	4	sujit	sujit	PROPN
ejpam-4599	423	5	handibag	handibag	PROPN
ejpam-4599	423	6	and	and	CCONJ
ejpam-4599	423	7	bd	bd	PROPN
ejpam-4599	423	8	karande	karande	PROPN
ejpam-4599	423	9	.	.	PUNCT
ejpam-4599	424	1	existence	existence	NOUN
ejpam-4599	424	2	the	the	DET
ejpam-4599	424	3	solutions	solution	NOUN
ejpam-4599	424	4	of	of	ADP
ejpam-4599	424	5	some	some	DET
ejpam-4599	424	6	fifth	fifth	ADJ
ejpam-4599	424	7	-	-	PUNCT
ejpam-4599	424	8	order	order	NOUN
ejpam-4599	424	9	kdv	kdv	NOUN
ejpam-4599	424	10	equation	equation	NOUN
ejpam-4599	424	11	by	by	ADP
ejpam-4599	424	12	laplace	laplace	NOUN
ejpam-4599	424	13	decomposition	decomposition	NOUN
ejpam-4599	424	14	method	method	NOUN
ejpam-4599	424	15	.	.	PUNCT
ejpam-4599	425	1	2013	2013	NUM
ejpam-4599	425	2	.	.	PUNCT
ejpam-4599	426	1	references	reference	NOUN
ejpam-4599	426	2	1935	1935	NUM
ejpam-4599	427	1	[	[	X
ejpam-4599	427	2	15	15	NUM
ejpam-4599	427	3	]	]	X
ejpam-4599	427	4	olufemi	olufemi	PROPN
ejpam-4599	427	5	elijah	elijah	PROPN
ejpam-4599	427	6	ige	ige	PROPN
ejpam-4599	427	7	,	,	PUNCT
ejpam-4599	427	8	razak	razak	PROPN
ejpam-4599	427	9	adekola	adekola	PROPN
ejpam-4599	427	10	oderinu	oderinu	PROPN
ejpam-4599	427	11	,	,	PUNCT
ejpam-4599	427	12	and	and	CCONJ
ejpam-4599	427	13	tarig	tarig	NOUN
ejpam-4599	427	14	mohyeldin	mohyeldin	NOUN
ejpam-4599	427	15	elzaki	elzaki	NOUN
ejpam-4599	427	16	.	.	PUNCT
ejpam-4599	428	1	adomian	adomian	PROPN
ejpam-4599	428	2	polynomial	polynomial	PROPN
ejpam-4599	428	3	and	and	CCONJ
ejpam-4599	428	4	elzaki	elzaki	VERB
ejpam-4599	428	5	transform	transform	NOUN
ejpam-4599	428	6	method	method	NOUN
ejpam-4599	428	7	of	of	ADP
ejpam-4599	428	8	solving	solve	VERB
ejpam-4599	428	9	fifth	fifth	ADJ
ejpam-4599	428	10	order	order	NOUN
ejpam-4599	428	11	korteweg	korteweg	NOUN
ejpam-4599	428	12	-	-	PUNCT
ejpam-4599	428	13	de	de	NOUN
ejpam-4599	428	14	vries	vries	PROPN
ejpam-4599	428	15	equation	equation	NOUN
ejpam-4599	428	16	.	.	PUNCT
ejpam-4599	429	1	caspian	caspian	PROPN
ejpam-4599	429	2	journal	journal	PROPN
ejpam-4599	429	3	of	of	ADP
ejpam-4599	429	4	mathematical	mathematical	ADJ
ejpam-4599	429	5	sciences	sciences	PROPN
ejpam-4599	429	6	(	(	PUNCT
ejpam-4599	429	7	cjms	cjms	NOUN
ejpam-4599	429	8	)	)	PUNCT
ejpam-4599	429	9	peer	peer	NOUN
ejpam-4599	429	10	,	,	PUNCT
ejpam-4599	429	11	8(2):103–119	8(2):103–119	NUM
ejpam-4599	429	12	,	,	PUNCT
ejpam-4599	429	13	2019	2019	NUM
ejpam-4599	429	14	.	.	PUNCT
ejpam-4599	430	1	[	[	X
ejpam-4599	430	2	16	16	NUM
ejpam-4599	430	3	]	]	X
ejpam-4599	430	4	subrat	subrat	NOUN
ejpam-4599	430	5	kumar	kumar	PROPN
ejpam-4599	430	6	jena	jena	PROPN
ejpam-4599	430	7	and	and	CCONJ
ejpam-4599	430	8	s	s	PROPN
ejpam-4599	430	9	chakraverty	chakraverty	NOUN
ejpam-4599	430	10	.	.	PUNCT
ejpam-4599	431	1	differential	differential	ADJ
ejpam-4599	431	2	quadrature	quadrature	NOUN
ejpam-4599	431	3	and	and	CCONJ
ejpam-4599	431	4	differential	differential	ADJ
ejpam-4599	431	5	transformation	transformation	NOUN
ejpam-4599	431	6	methods	method	NOUN
ejpam-4599	431	7	in	in	ADP
ejpam-4599	431	8	buckling	buckle	VERB
ejpam-4599	431	9	analysis	analysis	NOUN
ejpam-4599	431	10	of	of	ADP
ejpam-4599	431	11	nanobeams	nanobeam	NOUN
ejpam-4599	431	12	.	.	PUNCT
ejpam-4599	432	1	curved	curved	ADJ
ejpam-4599	432	2	and	and	CCONJ
ejpam-4599	432	3	layered	layered	ADJ
ejpam-4599	432	4	structures	structure	NOUN
ejpam-4599	432	5	,	,	PUNCT
ejpam-4599	432	6	6(1):68–76	6(1):68–76	NUM
ejpam-4599	432	7	,	,	PUNCT
ejpam-4599	432	8	2019	2019	NUM
ejpam-4599	432	9	.	.	PUNCT
ejpam-4599	433	1	[	[	X
ejpam-4599	433	2	17	17	NUM
ejpam-4599	433	3	]	]	PUNCT
ejpam-4599	433	4	abdelilah	abdelilah	PROPN
ejpam-4599	433	5	kamal	kamal	PROPN
ejpam-4599	433	6	and	and	CCONJ
ejpam-4599	433	7	h	h	PROPN
ejpam-4599	433	8	sedeeg	sedeeg	NOUN
ejpam-4599	433	9	.	.	PUNCT
ejpam-4599	434	1	the	the	DET
ejpam-4599	434	2	new	new	ADJ
ejpam-4599	434	3	integral	integral	ADJ
ejpam-4599	434	4	transform	transform	NOUN
ejpam-4599	434	5	kamal	kamal	PROPN
ejpam-4599	434	6	transform	transform	NOUN
ejpam-4599	434	7	.	.	PUNCT
ejpam-4599	435	1	advances	advance	NOUN
ejpam-4599	435	2	in	in	ADP
ejpam-4599	435	3	theoretical	theoretical	ADJ
ejpam-4599	435	4	and	and	CCONJ
ejpam-4599	435	5	applied	applied	ADJ
ejpam-4599	435	6	mathematics	mathematic	NOUN
ejpam-4599	435	7	,	,	PUNCT
ejpam-4599	435	8	11(4):451–458	11(4):451–458	PROPN
ejpam-4599	435	9	,	,	PUNCT
ejpam-4599	435	10	2016	2016	NUM
ejpam-4599	435	11	.	.	PUNCT
ejpam-4599	436	1	[	[	X
ejpam-4599	436	2	18	18	NUM
ejpam-4599	436	3	]	]	X
ejpam-4599	436	4	rachana	rachana	PROPN
ejpam-4599	436	5	khandelwal	khandelwal	PROPN
ejpam-4599	436	6	,	,	PUNCT
ejpam-4599	436	7	padama	padama	PROPN
ejpam-4599	436	8	kumawat	kumawat	PROPN
ejpam-4599	436	9	,	,	PUNCT
ejpam-4599	436	10	and	and	CCONJ
ejpam-4599	436	11	yogesh	yogesh	PROPN
ejpam-4599	436	12	khandelwal	khandelwal	PROPN
ejpam-4599	436	13	.	.	PUNCT
ejpam-4599	437	1	kamal	kamal	ADJ
ejpam-4599	437	2	decomposition	decomposition	NOUN
ejpam-4599	437	3	method	method	NOUN
ejpam-4599	437	4	and	and	CCONJ
ejpam-4599	437	5	its	its	PRON
ejpam-4599	437	6	application	application	NOUN
ejpam-4599	437	7	in	in	ADP
ejpam-4599	437	8	solving	solve	VERB
ejpam-4599	437	9	coupled	couple	VERB
ejpam-4599	437	10	system	system	NOUN
ejpam-4599	437	11	of	of	ADP
ejpam-4599	437	12	nonlinear	nonlinear	ADJ
ejpam-4599	437	13	pde	pde	NOUN
ejpam-4599	437	14	’s	’s	PART
ejpam-4599	437	15	.	.	PUNCT
ejpam-4599	438	1	malaya	malaya	PROPN
ejpam-4599	438	2	j.	j.	PROPN
ejpam-4599	438	3	mat	mat	PROPN
ejpam-4599	438	4	.	.	PROPN
ejpam-4599	438	5	,	,	PUNCT
ejpam-4599	438	6	6(3):619–625	6(3):619–625	NOUN
ejpam-4599	438	7	,	,	PUNCT
ejpam-4599	438	8	2018	2018	NUM
ejpam-4599	438	9	.	.	PUNCT
ejpam-4599	439	1	[	[	X
ejpam-4599	439	2	19	19	NUM
ejpam-4599	439	3	]	]	PUNCT
ejpam-4599	439	4	amal	amal	PROPN
ejpam-4599	439	5	jasim	jasim	PROPN
ejpam-4599	439	6	mohammed	mohammed	PROPN
ejpam-4599	439	7	and	and	CCONJ
ejpam-4599	439	8	ahmed	ahmed	PROPN
ejpam-4599	439	9	farooq	farooq	PROPN
ejpam-4599	439	10	qasim	qasim	PROPN
ejpam-4599	439	11	.	.	PUNCT
ejpam-4599	440	1	a	a	DET
ejpam-4599	440	2	new	new	ADJ
ejpam-4599	440	3	procedure	procedure	NOUN
ejpam-4599	440	4	with	with	ADP
ejpam-4599	440	5	iteration	iteration	NOUN
ejpam-4599	440	6	methods	method	NOUN
ejpam-4599	440	7	to	to	PART
ejpam-4599	440	8	solve	solve	VERB
ejpam-4599	440	9	a	a	DET
ejpam-4599	440	10	nonlinear	nonlinear	ADJ
ejpam-4599	440	11	two	two	NUM
ejpam-4599	440	12	dimensional	dimensional	ADJ
ejpam-4599	440	13	bogoyavlensky	bogoyavlensky	NOUN
ejpam-4599	440	14	-	-	PUNCT
ejpam-4599	440	15	konopelchenko	konopelchenko	NOUN
ejpam-4599	440	16	equation	equation	NOUN
ejpam-4599	440	17	.	.	PUNCT
ejpam-4599	441	1	journal	journal	NOUN
ejpam-4599	441	2	of	of	ADP
ejpam-4599	441	3	interdisciplinary	interdisciplinary	ADJ
ejpam-4599	441	4	mathematics	mathematic	NOUN
ejpam-4599	441	5	,	,	PUNCT
ejpam-4599	441	6	25(2):537–552	25(2):537–552	NOUN
ejpam-4599	441	7	,	,	PUNCT
ejpam-4599	441	8	2022	2022	NUM
ejpam-4599	441	9	.	.	PUNCT
ejpam-4599	442	1	[	[	X
ejpam-4599	442	2	20	20	NUM
ejpam-4599	442	3	]	]	PUNCT
ejpam-4599	442	4	shams	sham	NOUN
ejpam-4599	442	5	eldeen	eldeen	PROPN
ejpam-4599	442	6	ahmed	ahmed	PROPN
ejpam-4599	442	7	abdelmajed	abdelmajed	PROPN
ejpam-4599	442	8	mohmmed	mohmme	VERB
ejpam-4599	442	9	et	et	PROPN
ejpam-4599	442	10	al	al	PROPN
ejpam-4599	442	11	.	.	PROPN
ejpam-4599	442	12	solution	solution	NOUN
ejpam-4599	442	13	of	of	ADP
ejpam-4599	442	14	linear	linear	PROPN
ejpam-4599	442	15	and	and	CCONJ
ejpam-4599	442	16	nonlinear	nonlinear	ADJ
ejpam-4599	442	17	partial	partial	ADJ
ejpam-4599	442	18	differential	differential	NOUN
ejpam-4599	442	19	equations	equation	NOUN
ejpam-4599	442	20	by	by	ADP
ejpam-4599	442	21	mixing	mix	VERB
ejpam-4599	442	22	adomian	adomian	NOUN
ejpam-4599	442	23	decomposition	decomposition	NOUN
ejpam-4599	442	24	method	method	NOUN
ejpam-4599	442	25	and	and	CCONJ
ejpam-4599	442	26	sumudu	sumudu	NOUN
ejpam-4599	442	27	transform	transform	NOUN
ejpam-4599	442	28	.	.	PUNCT
ejpam-4599	443	1	phd	phd	NOUN
ejpam-4599	443	2	thesis	thesis	PROPN
ejpam-4599	443	3	,	,	PUNCT
ejpam-4599	443	4	sudan	sudan	PROPN
ejpam-4599	443	5	university	university	PROPN
ejpam-4599	443	6	of	of	ADP
ejpam-4599	443	7	science	science	NOUN
ejpam-4599	443	8	and	and	CCONJ
ejpam-4599	443	9	technology	technology	NOUN
ejpam-4599	443	10	,	,	PUNCT
ejpam-4599	443	11	2016	2016	NUM
ejpam-4599	443	12	.	.	PUNCT
ejpam-4599	444	1	[	[	X
ejpam-4599	444	2	21	21	NUM
ejpam-4599	444	3	]	]	X
ejpam-4599	444	4	maheshwar	maheshwar	PROPN
ejpam-4599	444	5	pathak	pathak	PROPN
ejpam-4599	444	6	and	and	CCONJ
ejpam-4599	444	7	pratibha	pratibha	PROPN
ejpam-4599	444	8	joshi	joshi	PROPN
ejpam-4599	444	9	.	.	PUNCT
ejpam-4599	445	1	modified	modify	VERB
ejpam-4599	445	2	iteration	iteration	NOUN
ejpam-4599	445	3	method	method	NOUN
ejpam-4599	445	4	for	for	ADP
ejpam-4599	445	5	numerical	numerical	ADJ
ejpam-4599	445	6	solution	solution	NOUN
ejpam-4599	445	7	of	of	ADP
ejpam-4599	445	8	nonlinear	nonlinear	ADJ
ejpam-4599	445	9	differential	differential	ADJ
ejpam-4599	445	10	equations	equation	NOUN
ejpam-4599	445	11	arising	arise	VERB
ejpam-4599	445	12	in	in	ADP
ejpam-4599	445	13	science	science	NOUN
ejpam-4599	445	14	and	and	CCONJ
ejpam-4599	445	15	engineering	engineering	NOUN
ejpam-4599	445	16	.	.	PUNCT
ejpam-4599	446	1	asianeuropean	asianeuropean	PROPN
ejpam-4599	446	2	journal	journal	PROPN
ejpam-4599	446	3	of	of	ADP
ejpam-4599	446	4	mathematics	mathematic	NOUN
ejpam-4599	446	5	,	,	PUNCT
ejpam-4599	446	6	14(09):2150151	14(09):2150151	NUM
ejpam-4599	446	7	,	,	PUNCT
ejpam-4599	446	8	2021	2021	NUM
ejpam-4599	446	9	.	.	PUNCT
ejpam-4599	447	1	[	[	X
ejpam-4599	447	2	22	22	NUM
ejpam-4599	447	3	]	]	X
ejpam-4599	447	4	a	a	DET
ejpam-4599	447	5	emimal	emimal	ADJ
ejpam-4599	447	6	kanaga	kanaga	NOUN
ejpam-4599	447	7	pushpam	pushpam	PROPN
ejpam-4599	447	8	and	and	CCONJ
ejpam-4599	447	9	c	c	PROPN
ejpam-4599	447	10	dhinesh	dhinesh	PROPN
ejpam-4599	447	11	kumar	kumar	PROPN
ejpam-4599	447	12	.	.	PUNCT
ejpam-4599	448	1	kamal	kamal	PROPN
ejpam-4599	448	2	decomposition	decomposition	NOUN
ejpam-4599	448	3	method	method	NOUN
ejpam-4599	448	4	for	for	ADP
ejpam-4599	448	5	solving	solve	VERB
ejpam-4599	448	6	nonlinear	nonlinear	ADJ
ejpam-4599	448	7	delay	delay	NOUN
ejpam-4599	448	8	differential	differential	PROPN
ejpam-4599	448	9	equations	equation	NOUN
ejpam-4599	448	10	.	.	PUNCT
ejpam-4599	449	1	bull	bull	NOUN
ejpam-4599	449	2	.	.	PUNCT
ejpam-4599	450	1	pure	pure	ADJ
ejpam-4599	450	2	appl	appl	PROPN
ejpam-4599	450	3	.	.	PUNCT
ejpam-4599	451	1	sci.-math	sci.-math	PROPN
ejpam-4599	451	2	.	.	PUNCT
ejpam-4599	451	3	stat	stat	PROPN
ejpam-4599	451	4	.	.	PUNCT
ejpam-4599	452	1	38e	38e	PROPN
ejpam-4599	452	2	,	,	PUNCT
ejpam-4599	452	3	231	231	NUM
ejpam-4599	452	4	,	,	PUNCT
ejpam-4599	452	5	2019	2019	NUM
ejpam-4599	452	6	.	.	PUNCT
ejpam-4599	453	1	[	[	X
ejpam-4599	453	2	23	23	NUM
ejpam-4599	453	3	]	]	X
ejpam-4599	453	4	dimple	dimple	ADJ
ejpam-4599	453	5	rani	rani	NOUN
ejpam-4599	453	6	and	and	CCONJ
ejpam-4599	453	7	vinod	vinod	PROPN
ejpam-4599	453	8	mishra	mishra	PROPN
ejpam-4599	453	9	.	.	PROPN
ejpam-4599	453	10	modification	modification	NOUN
ejpam-4599	453	11	of	of	ADP
ejpam-4599	453	12	laplace	laplace	NOUN
ejpam-4599	453	13	adomian	adomian	NOUN
ejpam-4599	453	14	decomposition	decomposition	NOUN
ejpam-4599	453	15	method	method	NOUN
ejpam-4599	453	16	for	for	ADP
ejpam-4599	453	17	solving	solve	VERB
ejpam-4599	453	18	nonlinear	nonlinear	ADJ
ejpam-4599	453	19	volterra	volterra	PROPN
ejpam-4599	453	20	integral	integral	ADJ
ejpam-4599	453	21	and	and	CCONJ
ejpam-4599	453	22	integro	integro	ADJ
ejpam-4599	453	23	-	-	PUNCT
ejpam-4599	453	24	differential	differential	NOUN
ejpam-4599	453	25	equations	equation	NOUN
ejpam-4599	453	26	based	base	VERB
ejpam-4599	453	27	on	on	ADP
ejpam-4599	453	28	newton	newton	PROPN
ejpam-4599	453	29	raphson	raphson	PROPN
ejpam-4599	453	30	formula	formula	NOUN
ejpam-4599	453	31	.	.	PUNCT
ejpam-4599	454	1	european	european	ADJ
ejpam-4599	454	2	journal	journal	PROPN
ejpam-4599	454	3	of	of	ADP
ejpam-4599	454	4	pure	pure	ADJ
ejpam-4599	454	5	and	and	CCONJ
ejpam-4599	454	6	applied	applied	ADJ
ejpam-4599	454	7	mathematics	mathematic	NOUN
ejpam-4599	454	8	,	,	PUNCT
ejpam-4599	454	9	11(1):202–214	11(1):202–214	NUM
ejpam-4599	454	10	,	,	PUNCT
ejpam-4599	454	11	2018	2018	NUM
ejpam-4599	454	12	.	.	PUNCT
ejpam-4599	455	1	[	[	X
ejpam-4599	455	2	24	24	NUM
ejpam-4599	455	3	]	]	SYM
ejpam-4599	455	4	metomou	metomou	PROPN
ejpam-4599	455	5	richard	richard	PROPN
ejpam-4599	455	6	and	and	CCONJ
ejpam-4599	455	7	weidong	weidong	PROPN
ejpam-4599	455	8	zhao	zhao	PROPN
ejpam-4599	455	9	.	.	PUNCT
ejpam-4599	456	1	padé-sumudu	padé-sumudu	NOUN
ejpam-4599	456	2	-	-	PUNCT
ejpam-4599	456	3	adomian	adomian	NOUN
ejpam-4599	456	4	decomposition	decomposition	NOUN
ejpam-4599	456	5	method	method	NOUN
ejpam-4599	456	6	for	for	ADP
ejpam-4599	456	7	nonlinear	nonlinear	ADJ
ejpam-4599	456	8	schrödinger	schrödinger	NOUN
ejpam-4599	456	9	equation	equation	NOUN
ejpam-4599	456	10	.	.	PUNCT
ejpam-4599	457	1	journal	journal	PROPN
ejpam-4599	457	2	of	of	ADP
ejpam-4599	457	3	applied	apply	VERB
ejpam-4599	457	4	mathematics	mathematic	NOUN
ejpam-4599	457	5	,	,	PUNCT
ejpam-4599	457	6	2021	2021	NUM
ejpam-4599	457	7	,	,	PUNCT
ejpam-4599	457	8	2021	2021	NUM
ejpam-4599	457	9	.	.	PUNCT
ejpam-4599	458	1	[	[	X
ejpam-4599	458	2	25	25	NUM
ejpam-4599	458	3	]	]	X
ejpam-4599	458	4	subashini	subashini	NOUN
ejpam-4599	458	5	vilu	vilu	NOUN
ejpam-4599	458	6	,	,	PUNCT
ejpam-4599	458	7	rokiah	rokiah	PROPN
ejpam-4599	458	8	rozita	rozita	PROPN
ejpam-4599	458	9	ahmad	ahmad	PROPN
ejpam-4599	458	10	,	,	PUNCT
ejpam-4599	458	11	and	and	CCONJ
ejpam-4599	458	12	ummul	ummul	PROPN
ejpam-4599	458	13	khair	khair	PROPN
ejpam-4599	458	14	salma	salma	PROPN
ejpam-4599	458	15	din	din	PROPN
ejpam-4599	458	16	.	.	PROPN
ejpam-4599	458	17	variational	variational	ADJ
ejpam-4599	458	18	iteration	iteration	NOUN
ejpam-4599	458	19	method	method	NOUN
ejpam-4599	458	20	and	and	CCONJ
ejpam-4599	458	21	sumudu	sumudu	NOUN
ejpam-4599	458	22	transform	transform	NOUN
ejpam-4599	458	23	for	for	ADP
ejpam-4599	458	24	solving	solve	VERB
ejpam-4599	458	25	delay	delay	NOUN
ejpam-4599	458	26	differential	differential	ADJ
ejpam-4599	458	27	equation	equation	NOUN
ejpam-4599	458	28	.	.	PUNCT
ejpam-4599	459	1	international	international	ADJ
ejpam-4599	459	2	journal	journal	PROPN
ejpam-4599	459	3	of	of	ADP
ejpam-4599	459	4	differential	differential	ADJ
ejpam-4599	459	5	equations	equation	NOUN
ejpam-4599	459	6	,	,	PUNCT
ejpam-4599	459	7	2019	2019	NUM
ejpam-4599	459	8	,	,	PUNCT
ejpam-4599	459	9	2019	2019	NUM
ejpam-4599	459	10	.	.	PUNCT
ejpam-4599	460	1	[	[	X
ejpam-4599	460	2	26	26	NUM
ejpam-4599	460	3	]	]	X
ejpam-4599	460	4	abdul	abdul	PROPN
ejpam-4599	460	5	-	-	PUNCT
ejpam-4599	460	6	majid	majid	PROPN
ejpam-4599	460	7	wazwaz	wazwaz	NOUN
ejpam-4599	460	8	.	.	PUNCT
ejpam-4599	461	1	partial	partial	ADJ
ejpam-4599	461	2	differential	differential	ADJ
ejpam-4599	461	3	equations	equation	NOUN
ejpam-4599	461	4	and	and	CCONJ
ejpam-4599	461	5	solitary	solitary	ADJ
ejpam-4599	461	6	waves	wave	NOUN
ejpam-4599	461	7	theory	theory	NOUN
ejpam-4599	461	8	.	.	PUNCT
ejpam-4599	462	1	springer	springer	NOUN
ejpam-4599	462	2	science	science	PROPN
ejpam-4599	462	3	&	&	CCONJ
ejpam-4599	462	4	business	business	NOUN
ejpam-4599	462	5	media	medium	NOUN
ejpam-4599	462	6	,	,	PUNCT
ejpam-4599	462	7	2010	2010	NUM
ejpam-4599	462	8	.	.	PUNCT
ejpam-4599	463	1	[	[	X
ejpam-4599	463	2	27	27	NUM
ejpam-4599	463	3	]	]	SYM
ejpam-4599	463	4	zhengping	zhengping	NOUN
ejpam-4599	463	5	yang	yang	PROPN
ejpam-4599	463	6	and	and	CCONJ
ejpam-4599	463	7	wei	wei	PROPN
ejpam-4599	463	8	-	-	PROPN
ejpam-4599	463	9	ping	ping	PROPN
ejpam-4599	463	10	zhong	zhong	PROPN
ejpam-4599	463	11	.	.	PUNCT
ejpam-4599	464	1	analytical	analytical	ADJ
ejpam-4599	464	2	solutions	solution	NOUN
ejpam-4599	464	3	to	to	ADP
ejpam-4599	464	4	sine	sine	VERB
ejpam-4599	464	5	-	-	PUNCT
ejpam-4599	464	6	gordon	gordon	NOUN
ejpam-4599	464	7	equation	equation	NOUN
ejpam-4599	464	8	with	with	ADP
ejpam-4599	464	9	variable	variable	ADJ
ejpam-4599	464	10	coefficient	coefficient	NOUN
ejpam-4599	464	11	.	.	PUNCT
ejpam-4599	465	1	romanian	romanian	ADJ
ejpam-4599	465	2	reports	report	NOUN
ejpam-4599	465	3	in	in	ADP
ejpam-4599	465	4	physics	physics	PROPN
ejpam-4599	465	5	,	,	PUNCT
ejpam-4599	465	6	66(2):262–273	66(2):262–273	NUM
ejpam-4599	465	7	,	,	PUNCT
ejpam-4599	465	8	2014	2014	NUM
ejpam-4599	465	9	.	.	PUNCT
ejpam-4599	466	1	references	reference	NOUN
ejpam-4599	466	2	1936	1936	NUM
ejpam-4599	467	1	[	[	X
ejpam-4599	467	2	28	28	NUM
ejpam-4599	467	3	]	]	X
ejpam-4599	467	4	norman	norman	PROPN
ejpam-4599	467	5	j	j	PROPN
ejpam-4599	467	6	zabusky	zabusky	PROPN
ejpam-4599	467	7	and	and	CCONJ
ejpam-4599	467	8	martin	martin	PROPN
ejpam-4599	467	9	d	d	PROPN
ejpam-4599	467	10	kruskal	kruskal	PROPN
ejpam-4599	467	11	.	.	PUNCT
ejpam-4599	468	1	interaction	interaction	NOUN
ejpam-4599	468	2	of	of	ADP
ejpam-4599	468	3	”	"	PUNCT
ejpam-4599	468	4	solitons	soliton	NOUN
ejpam-4599	468	5	”	"	PUNCT
ejpam-4599	468	6	in	in	ADP
ejpam-4599	468	7	a	a	DET
ejpam-4599	468	8	collisionless	collisionless	ADJ
ejpam-4599	468	9	plasma	plasma	NOUN
ejpam-4599	468	10	and	and	CCONJ
ejpam-4599	468	11	the	the	DET
ejpam-4599	468	12	recurrence	recurrence	NOUN
ejpam-4599	468	13	of	of	ADP
ejpam-4599	468	14	initial	initial	ADJ
ejpam-4599	468	15	states	state	NOUN
ejpam-4599	468	16	.	.	PUNCT
ejpam-4599	469	1	physical	physical	ADJ
ejpam-4599	469	2	review	review	NOUN
ejpam-4599	469	3	letters	letter	NOUN
ejpam-4599	469	4	,	,	PUNCT
ejpam-4599	469	5	15(6):240	15(6):240	NUM
ejpam-4599	469	6	,	,	PUNCT
ejpam-4599	469	7	1965	1965	NUM
ejpam-4599	469	8	.	.	PUNCT