id	sid	tid	token	lemma	pos
ejpam-5640	1	1	european	european	PROPN
ejpam-5640	1	2	journal	journal	PROPN
ejpam-5640	1	3	of	of	ADP
ejpam-5640	1	4	pure	pure	ADJ
ejpam-5640	1	5	and	and	CCONJ
ejpam-5640	1	6	applied	applied	ADJ
ejpam-5640	1	7	mathematics	mathematic	NOUN
ejpam-5640	1	8	2025	2025	NUM
ejpam-5640	1	9	,	,	PUNCT
ejpam-5640	1	10	vol	vol	NOUN
ejpam-5640	1	11	.	.	PROPN
ejpam-5640	1	12	18	18	NUM
ejpam-5640	1	13	,	,	PUNCT
ejpam-5640	1	14	issue	issue	NOUN
ejpam-5640	1	15	1	1	NUM
ejpam-5640	1	16	,	,	PUNCT
ejpam-5640	1	17	article	article	NOUN
ejpam-5640	1	18	number	number	NOUN
ejpam-5640	1	19	5640	5640	NUM
ejpam-5640	1	20	issn	issn	PROPN
ejpam-5640	1	21	1307	1307	NUM
ejpam-5640	1	22	-	-	SYM
ejpam-5640	1	23	5543	5543	NUM
ejpam-5640	1	24	–	–	PUNCT
ejpam-5640	1	25	ejpam.com	ejpam.com	X
ejpam-5640	1	26	published	publish	VERB
ejpam-5640	1	27	by	by	ADP
ejpam-5640	1	28	new	new	PROPN
ejpam-5640	1	29	york	york	PROPN
ejpam-5640	1	30	business	business	PROPN
ejpam-5640	1	31	global	global	PROPN
ejpam-5640	1	32	a	a	DET
ejpam-5640	1	33	numerical	numerical	ADJ
ejpam-5640	1	34	study	study	NOUN
ejpam-5640	1	35	of	of	ADP
ejpam-5640	1	36	cubic	cubic	ADJ
ejpam-5640	1	37	-	-	PUNCT
ejpam-5640	1	38	quartic	quartic	ADJ
ejpam-5640	1	39	optical	optical	ADJ
ejpam-5640	1	40	soliton	soliton	NOUN
ejpam-5640	1	41	solutions	solution	NOUN
ejpam-5640	1	42	in	in	ADP
ejpam-5640	1	43	birefringent	birefringent	NOUN
ejpam-5640	1	44	fibers	fiber	NOUN
ejpam-5640	1	45	afrah	afrah	PROPN
ejpam-5640	1	46	m.	m.	PROPN
ejpam-5640	1	47	almalki1,∗	almalki1,∗	PROPN
ejpam-5640	1	48	,	,	PUNCT
ejpam-5640	1	49	aisha	aisha	PROPN
ejpam-5640	1	50	alshaery1	alshaery1	PROPN
ejpam-5640	1	51	,	,	PUNCT
ejpam-5640	1	52	huda	huda	PROPN
ejpam-5640	1	53	o.	o.	PROPN
ejpam-5640	1	54	bakodah1	bakodah1	PROPN
ejpam-5640	1	55	,	,	PUNCT
ejpam-5640	1	56	alyaa	alyaa	NOUN
ejpam-5640	1	57	alqarni2	alqarni2	NOUN
ejpam-5640	1	58	1	1	NUM
ejpam-5640	1	59	department	department	NOUN
ejpam-5640	1	60	of	of	ADP
ejpam-5640	1	61	mathematics	mathematic	NOUN
ejpam-5640	1	62	and	and	CCONJ
ejpam-5640	1	63	statistics	statistic	NOUN
ejpam-5640	1	64	,	,	PUNCT
ejpam-5640	1	65	faculty	faculty	NOUN
ejpam-5640	1	66	of	of	ADP
ejpam-5640	1	67	science	science	NOUN
ejpam-5640	1	68	,	,	PUNCT
ejpam-5640	1	69	university	university	NOUN
ejpam-5640	1	70	of	of	ADP
ejpam-5640	1	71	jeddah	jeddah	PROPN
ejpam-5640	1	72	,	,	PUNCT
ejpam-5640	1	73	p.o	p.o	PROPN
ejpam-5640	1	74	.	.	PROPN
ejpam-5640	1	75	box	box	PROPN
ejpam-5640	1	76	80327	80327	NUM
ejpam-5640	1	77	,	,	PUNCT
ejpam-5640	1	78	jeddah	jeddah	PROPN
ejpam-5640	1	79	,	,	PUNCT
ejpam-5640	1	80	saudi	saudi	PROPN
ejpam-5640	1	81	arabia	arabia	PROPN
ejpam-5640	1	82	2	2	NUM
ejpam-5640	1	83	department	department	NOUN
ejpam-5640	1	84	of	of	ADP
ejpam-5640	1	85	mathematics	mathematic	NOUN
ejpam-5640	1	86	,	,	PUNCT
ejpam-5640	1	87	faculty	faculty	NOUN
ejpam-5640	1	88	of	of	ADP
ejpam-5640	1	89	science	science	NOUN
ejpam-5640	1	90	,	,	PUNCT
ejpam-5640	1	91	university	university	NOUN
ejpam-5640	1	92	of	of	ADP
ejpam-5640	1	93	bisha	bisha	PROPN
ejpam-5640	1	94	,	,	PUNCT
ejpam-5640	1	95	po	po	PROPN
ejpam-5640	1	96	box	box	PROPN
ejpam-5640	1	97	551	551	NUM
ejpam-5640	1	98	,	,	PUNCT
ejpam-5640	1	99	bisha	bisha	PROPN
ejpam-5640	1	100	61922	61922	NUM
ejpam-5640	1	101	,	,	PUNCT
ejpam-5640	1	102	saudi	saudi	PROPN
ejpam-5640	1	103	arabia	arabia	PROPN
ejpam-5640	1	104	abstract	abstract	NOUN
ejpam-5640	1	105	.	.	PUNCT
ejpam-5640	2	1	this	this	DET
ejpam-5640	2	2	study	study	NOUN
ejpam-5640	2	3	addresses	address	VERB
ejpam-5640	2	4	the	the	DET
ejpam-5640	2	5	critical	critical	ADJ
ejpam-5640	2	6	issue	issue	NOUN
ejpam-5640	2	7	of	of	ADP
ejpam-5640	2	8	understanding	understand	VERB
ejpam-5640	2	9	the	the	DET
ejpam-5640	2	10	numerical	numerical	ADJ
ejpam-5640	2	11	relevance	relevance	NOUN
ejpam-5640	2	12	of	of	ADP
ejpam-5640	2	13	cubic	cubic	ADJ
ejpam-5640	2	14	-	-	PUNCT
ejpam-5640	2	15	quartic	quartic	ADJ
ejpam-5640	2	16	solitonic	solitonic	ADJ
ejpam-5640	2	17	expressions	expression	NOUN
ejpam-5640	2	18	in	in	ADP
ejpam-5640	2	19	birefringent	birefringent	NOUN
ejpam-5640	2	20	fibers	fiber	NOUN
ejpam-5640	2	21	,	,	PUNCT
ejpam-5640	2	22	a	a	DET
ejpam-5640	2	23	topic	topic	NOUN
ejpam-5640	2	24	of	of	ADP
ejpam-5640	2	25	increasing	increase	VERB
ejpam-5640	2	26	significance	significance	NOUN
ejpam-5640	2	27	in	in	ADP
ejpam-5640	2	28	the	the	DET
ejpam-5640	2	29	field	field	NOUN
ejpam-5640	2	30	of	of	ADP
ejpam-5640	2	31	nonlinear	nonlinear	ADJ
ejpam-5640	2	32	optics	optic	NOUN
ejpam-5640	2	33	due	due	ADP
ejpam-5640	2	34	to	to	ADP
ejpam-5640	2	35	its	its	PRON
ejpam-5640	2	36	implications	implication	NOUN
ejpam-5640	2	37	for	for	ADP
ejpam-5640	2	38	optical	optical	ADJ
ejpam-5640	2	39	communication	communication	NOUN
ejpam-5640	2	40	and	and	CCONJ
ejpam-5640	2	41	signal	signal	ADJ
ejpam-5640	2	42	propagation	propagation	NOUN
ejpam-5640	2	43	.	.	PUNCT
ejpam-5640	3	1	the	the	DET
ejpam-5640	3	2	research	research	NOUN
ejpam-5640	3	3	employs	employ	VERB
ejpam-5640	3	4	the	the	DET
ejpam-5640	3	5	improved	improved	ADJ
ejpam-5640	3	6	adomian	adomian	NOUN
ejpam-5640	3	7	decomposition	decomposition	NOUN
ejpam-5640	3	8	scheme	scheme	NOUN
ejpam-5640	3	9	,	,	PUNCT
ejpam-5640	3	10	developed	develop	VERB
ejpam-5640	3	11	to	to	PART
ejpam-5640	3	12	derive	derive	VERB
ejpam-5640	3	13	a	a	DET
ejpam-5640	3	14	generalized	generalized	ADJ
ejpam-5640	3	15	numerical	numerical	ADJ
ejpam-5640	3	16	method	method	NOUN
ejpam-5640	3	17	for	for	ADP
ejpam-5640	3	18	solving	solve	VERB
ejpam-5640	3	19	complex	complex	ADV
ejpam-5640	3	20	-	-	PUNCT
ejpam-5640	3	21	valued	value	VERB
ejpam-5640	3	22	nonlinear	nonlinear	ADJ
ejpam-5640	3	23	evolution	evolution	NOUN
ejpam-5640	3	24	equations	equation	NOUN
ejpam-5640	3	25	associated	associate	VERB
ejpam-5640	3	26	with	with	ADP
ejpam-5640	3	27	solitons	soliton	NOUN
ejpam-5640	3	28	.	.	PUNCT
ejpam-5640	4	1	the	the	DET
ejpam-5640	4	2	results	result	NOUN
ejpam-5640	4	3	demonstrate	demonstrate	VERB
ejpam-5640	4	4	a	a	DET
ejpam-5640	4	5	high	high	ADJ
ejpam-5640	4	6	level	level	NOUN
ejpam-5640	4	7	of	of	ADP
ejpam-5640	4	8	accuracy	accuracy	NOUN
ejpam-5640	4	9	and	and	CCONJ
ejpam-5640	4	10	are	be	AUX
ejpam-5640	4	11	shown	show	VERB
ejpam-5640	4	12	to	to	PART
ejpam-5640	4	13	be	be	AUX
ejpam-5640	4	14	in	in	ADP
ejpam-5640	4	15	total	total	ADJ
ejpam-5640	4	16	conformity	conformity	NOUN
ejpam-5640	4	17	with	with	ADP
ejpam-5640	4	18	the	the	DET
ejpam-5640	4	19	established	establish	VERB
ejpam-5640	4	20	analytical	analytical	ADJ
ejpam-5640	4	21	solutions	solution	NOUN
ejpam-5640	4	22	,	,	PUNCT
ejpam-5640	4	23	found	find	VERB
ejpam-5640	4	24	in	in	ADP
ejpam-5640	4	25	the	the	DET
ejpam-5640	4	26	existing	exist	VERB
ejpam-5640	4	27	literature	literature	NOUN
ejpam-5640	4	28	,	,	PUNCT
ejpam-5640	4	29	thereby	thereby	ADV
ejpam-5640	4	30	validating	validate	VERB
ejpam-5640	4	31	the	the	DET
ejpam-5640	4	32	effectiveness	effectiveness	NOUN
ejpam-5640	4	33	of	of	ADP
ejpam-5640	4	34	the	the	DET
ejpam-5640	4	35	proposed	propose	VERB
ejpam-5640	4	36	numerical	numerical	ADJ
ejpam-5640	4	37	approach	approach	NOUN
ejpam-5640	4	38	.	.	PUNCT
ejpam-5640	5	1	notably	notably	ADV
ejpam-5640	5	2	,	,	PUNCT
ejpam-5640	5	3	the	the	DET
ejpam-5640	5	4	study	study	NOUN
ejpam-5640	5	5	reveals	reveal	VERB
ejpam-5640	5	6	that	that	SCONJ
ejpam-5640	5	7	even	even	ADV
ejpam-5640	5	8	minor	minor	ADJ
ejpam-5640	5	9	numerical	numerical	ADJ
ejpam-5640	5	10	errors	error	NOUN
ejpam-5640	5	11	can	can	AUX
ejpam-5640	5	12	significantly	significantly	ADV
ejpam-5640	5	13	influence	influence	VERB
ejpam-5640	5	14	the	the	DET
ejpam-5640	5	15	transported	transport	VERB
ejpam-5640	5	16	signal	signal	NOUN
ejpam-5640	5	17	’s	’s	PART
ejpam-5640	5	18	power	power	NOUN
ejpam-5640	5	19	,	,	PUNCT
ejpam-5640	5	20	emphasizing	emphasize	VERB
ejpam-5640	5	21	the	the	DET
ejpam-5640	5	22	importance	importance	NOUN
ejpam-5640	5	23	of	of	ADP
ejpam-5640	5	24	precision	precision	NOUN
ejpam-5640	5	25	in	in	ADP
ejpam-5640	5	26	numerical	numerical	ADJ
ejpam-5640	5	27	methods	method	NOUN
ejpam-5640	5	28	for	for	ADP
ejpam-5640	5	29	nonlinear	nonlinear	ADJ
ejpam-5640	5	30	systems	system	NOUN
ejpam-5640	5	31	.	.	PUNCT
ejpam-5640	6	1	2020	2020	NUM
ejpam-5640	6	2	mathematics	mathematic	NOUN
ejpam-5640	6	3	subject	subject	NOUN
ejpam-5640	6	4	classifications	classification	NOUN
ejpam-5640	6	5	:	:	PUNCT
ejpam-5640	6	6	35q55	35q55	NUM
ejpam-5640	6	7	,	,	PUNCT
ejpam-5640	6	8	35c07	35c07	NUM
ejpam-5640	6	9	,	,	PUNCT
ejpam-5640	6	10	78a20	78a20	NUM
ejpam-5640	6	11	,	,	PUNCT
ejpam-5640	6	12	78m40	78m40	NUM
ejpam-5640	6	13	,	,	PUNCT
ejpam-5640	6	14	65m99	65m99	NUM
ejpam-5640	6	15	key	key	ADJ
ejpam-5640	6	16	words	word	NOUN
ejpam-5640	6	17	and	and	CCONJ
ejpam-5640	6	18	phrases	phrase	NOUN
ejpam-5640	6	19	:	:	PUNCT
ejpam-5640	6	20	numerical	numerical	ADJ
ejpam-5640	6	21	study	study	NOUN
ejpam-5640	6	22	,	,	PUNCT
ejpam-5640	6	23	decomposition	decomposition	NOUN
ejpam-5640	6	24	method	method	NOUN
ejpam-5640	6	25	,	,	PUNCT
ejpam-5640	6	26	improved	improved	ADJ
ejpam-5640	6	27	scheme	scheme	NOUN
ejpam-5640	6	28	,	,	PUNCT
ejpam-5640	6	29	optical	optical	ADJ
ejpam-5640	6	30	soliton	soliton	NOUN
ejpam-5640	6	31	,	,	PUNCT
ejpam-5640	6	32	cubic	cubic	ADJ
ejpam-5640	6	33	-	-	PUNCT
ejpam-5640	6	34	quartic	quartic	ADJ
ejpam-5640	6	35	bright	bright	ADJ
ejpam-5640	6	36	solution	solution	NOUN
ejpam-5640	6	37	,	,	PUNCT
ejpam-5640	6	38	birefringent	birefringent	NOUN
ejpam-5640	6	39	fibers	fiber	NOUN
ejpam-5640	6	40	1	1	NUM
ejpam-5640	6	41	.	.	PUNCT
ejpam-5640	7	1	introduction	introduction	NOUN
ejpam-5640	7	2	the	the	DET
ejpam-5640	7	3	propagation	propagation	NOUN
ejpam-5640	7	4	of	of	ADP
ejpam-5640	7	5	optical	optical	ADJ
ejpam-5640	7	6	pulses	pulse	NOUN
ejpam-5640	7	7	,	,	PUNCT
ejpam-5640	7	8	particularly	particularly	ADV
ejpam-5640	7	9	in	in	ADP
ejpam-5640	7	10	optical	optical	ADJ
ejpam-5640	7	11	signal	signal	NOUN
ejpam-5640	7	12	processing	processing	NOUN
ejpam-5640	7	13	,	,	PUNCT
ejpam-5640	7	14	has	have	AUX
ejpam-5640	7	15	recently	recently	ADV
ejpam-5640	7	16	become	become	VERB
ejpam-5640	7	17	a	a	DET
ejpam-5640	7	18	highly	highly	ADV
ejpam-5640	7	19	relevant	relevant	ADJ
ejpam-5640	7	20	area	area	NOUN
ejpam-5640	7	21	of	of	ADP
ejpam-5640	7	22	technological	technological	ADJ
ejpam-5640	7	23	interest	interest	NOUN
ejpam-5640	7	24	in	in	ADP
ejpam-5640	7	25	the	the	DET
ejpam-5640	7	26	contemporary	contemporary	ADJ
ejpam-5640	7	27	world	world	NOUN
ejpam-5640	7	28	.	.	PUNCT
ejpam-5640	8	1	in	in	ADP
ejpam-5640	8	2	this	this	DET
ejpam-5640	8	3	context	context	NOUN
ejpam-5640	8	4	,	,	PUNCT
ejpam-5640	8	5	one	one	PRON
ejpam-5640	8	6	can	can	AUX
ejpam-5640	8	7	highlight	highlight	VERB
ejpam-5640	8	8	the	the	DET
ejpam-5640	8	9	systematic	systematic	ADJ
ejpam-5640	8	10	application	application	NOUN
ejpam-5640	8	11	of	of	ADP
ejpam-5640	8	12	optical	optical	ADJ
ejpam-5640	8	13	fibers	fiber	NOUN
ejpam-5640	8	14	across	across	ADP
ejpam-5640	8	15	various	various	ADJ
ejpam-5640	8	16	fields	field	NOUN
ejpam-5640	8	17	,	,	PUNCT
ejpam-5640	8	18	including	include	VERB
ejpam-5640	8	19	modern	modern	ADJ
ejpam-5640	8	20	telecommunications	telecommunication	NOUN
ejpam-5640	8	21	,	,	PUNCT
ejpam-5640	8	22	optical	optical	ADJ
ejpam-5640	8	23	metamaterials	metamaterial	NOUN
ejpam-5640	8	24	,	,	PUNCT
ejpam-5640	8	25	ultrafast	ultrafast	ADJ
ejpam-5640	8	26	signal	signal	NOUN
ejpam-5640	8	27	systems	system	NOUN
ejpam-5640	8	28	,	,	PUNCT
ejpam-5640	8	29	optoelectronics	optoelectronic	NOUN
ejpam-5640	8	30	,	,	PUNCT
ejpam-5640	8	31	and	and	CCONJ
ejpam-5640	8	32	optical	optical	ADJ
ejpam-5640	8	33	switching	switching	NOUN
ejpam-5640	8	34	,	,	PUNCT
ejpam-5640	8	35	to	to	PART
ejpam-5640	8	36	name	name	VERB
ejpam-5640	8	37	a	a	DET
ejpam-5640	8	38	few	few	ADJ
ejpam-5640	8	39	[	[	X
ejpam-5640	8	40	1	1	NUM
ejpam-5640	8	41	,	,	PUNCT
ejpam-5640	8	42	4	4	NUM
ejpam-5640	8	43	,	,	PUNCT
ejpam-5640	8	44	9	9	NUM
ejpam-5640	8	45	,	,	PUNCT
ejpam-5640	8	46	28	28	NUM
ejpam-5640	8	47	,	,	PUNCT
ejpam-5640	8	48	35	35	NUM
ejpam-5640	8	49	]	]	PUNCT
ejpam-5640	8	50	.	.	PUNCT
ejpam-5640	9	1	certainly	certainly	ADV
ejpam-5640	9	2	,	,	PUNCT
ejpam-5640	9	3	various	various	ADJ
ejpam-5640	9	4	nonlinear	nonlinear	ADJ
ejpam-5640	9	5	phenomena	phenomenon	NOUN
ejpam-5640	9	6	are	be	AUX
ejpam-5640	9	7	associated	associate	VERB
ejpam-5640	9	8	with	with	ADP
ejpam-5640	9	9	these	these	DET
ejpam-5640	9	10	areas	area	NOUN
ejpam-5640	9	11	of	of	ADP
ejpam-5640	9	12	optical	optical	ADJ
ejpam-5640	9	13	relevance	relevance	NOUN
ejpam-5640	9	14	,	,	PUNCT
ejpam-5640	9	15	necessitating	necessitate	VERB
ejpam-5640	9	16	thorough	thorough	ADJ
ejpam-5640	9	17	investigations	investigation	NOUN
ejpam-5640	9	18	to	to	PART
ejpam-5640	9	19	uncover	uncover	VERB
ejpam-5640	9	20	significant	significant	ADJ
ejpam-5640	9	21	breakthroughs	breakthrough	NOUN
ejpam-5640	9	22	.	.	PUNCT
ejpam-5640	10	1	some	some	PRON
ejpam-5640	10	2	of	of	ADP
ejpam-5640	10	3	these	these	DET
ejpam-5640	10	4	∗corresponding	∗corresponde	VERB
ejpam-5640	10	5	author	author	NOUN
ejpam-5640	10	6	.	.	PUNCT
ejpam-5640	11	1	doi	doi	NOUN
ejpam-5640	11	2	:	:	PUNCT
ejpam-5640	11	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5640	https://doi.org/10.29020/nybg.ejpam.v18i1.5640	ADJ
ejpam-5640	11	4	email	email	NOUN
ejpam-5640	11	5	addresses	address	NOUN
ejpam-5640	11	6	:	:	PUNCT
ejpam-5640	11	7	aalmalki1447.stu@uj.edu.sa	aalmalki1447.stu@uj.edu.sa	PROPN
ejpam-5640	11	8	(	(	PUNCT
ejpam-5640	11	9	a.	a.	NOUN
ejpam-5640	11	10	m.	m.	NOUN
ejpam-5640	11	11	almalki	almalki	ADV
ejpam-5640	11	12	)	)	PUNCT
ejpam-5640	11	13	,	,	PUNCT
ejpam-5640	11	14	aaal-shaery@uj.edu.sa	aaal-shaery@uj.edu.sa	PROPN
ejpam-5640	11	15	(	(	PUNCT
ejpam-5640	11	16	a.	a.	NOUN
ejpam-5640	11	17	a.	a.	NOUN
ejpam-5640	11	18	alshaery	alshaery	PROPN
ejpam-5640	11	19	)	)	PUNCT
ejpam-5640	11	20	,	,	PUNCT
ejpam-5640	11	21	hobakodah@uj.edu.sa	hobakodah@uj.edu.sa	PROPN
ejpam-5640	11	22	(	(	PUNCT
ejpam-5640	11	23	h.	h.	PROPN
ejpam-5640	11	24	o.	o.	PROPN
ejpam-5640	11	25	bakodah	bakodah	PROPN
ejpam-5640	11	26	)	)	PUNCT
ejpam-5640	11	27	,	,	PUNCT
ejpam-5640	11	28	aqarnry@ub.edu.sa	aqarnry@ub.edu.sa	PROPN
ejpam-5640	11	29	(	(	PUNCT
ejpam-5640	11	30	a.	a.	NOUN
ejpam-5640	11	31	a.	a.	PROPN
ejpam-5640	11	32	alqarni	alqarni	PROPN
ejpam-5640	11	33	)	)	PUNCT
ejpam-5640	11	34	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5640	11	35	1	1	NUM
ejpam-5640	11	36	copyright	copyright	NOUN
ejpam-5640	11	37	:	:	PUNCT
ejpam-5640	12	1	©	©	PROPN
ejpam-5640	12	2	2025	2025	NUM
ejpam-5640	12	3	the	the	DET
ejpam-5640	12	4	author(s	author(s	NOUN
ejpam-5640	12	5	)	)	PUNCT
ejpam-5640	12	6	.	.	PUNCT
ejpam-5640	13	1	(	(	PUNCT
ejpam-5640	13	2	cc	cc	NOUN
ejpam-5640	13	3	by	by	ADP
ejpam-5640	13	4	-	-	PUNCT
ejpam-5640	13	5	nc	nc	PROPN
ejpam-5640	13	6	4.0	4.0	NUM
ejpam-5640	13	7	)	)	PUNCT
ejpam-5640	13	8	a.	a.	NOUN
ejpam-5640	13	9	m.	m.	NOUN
ejpam-5640	13	10	almalki	almalki	ADP
ejpam-5640	13	11	et	et	PROPN
ejpam-5640	13	12	al	al	PROPN
ejpam-5640	13	13	.	.	PUNCT
ejpam-5640	13	14	/	/	SYM
ejpam-5640	13	15	eur	eur	PROPN
ejpam-5640	13	16	.	.	PUNCT
ejpam-5640	14	1	j.	j.	PROPN
ejpam-5640	14	2	pure	pure	PROPN
ejpam-5640	14	3	appl	appl	PROPN
ejpam-5640	14	4	.	.	PROPN
ejpam-5640	14	5	math	math	PROPN
ejpam-5640	14	6	,	,	PUNCT
ejpam-5640	14	7	18	18	NUM
ejpam-5640	14	8	(	(	PUNCT
ejpam-5640	14	9	1	1	NUM
ejpam-5640	14	10	)	)	PUNCT
ejpam-5640	14	11	(	(	PUNCT
ejpam-5640	14	12	2025	2025	NUM
ejpam-5640	14	13	)	)	PUNCT
ejpam-5640	14	14	,	,	PUNCT
ejpam-5640	14	15	5640	5640	NUM
ejpam-5640	14	16	2	2	NUM
ejpam-5640	14	17	of	of	ADP
ejpam-5640	14	18	16	16	NUM
ejpam-5640	14	19	phenomena	phenomenon	NOUN
ejpam-5640	14	20	include	include	VERB
ejpam-5640	14	21	optical	optical	ADJ
ejpam-5640	14	22	solitons	soliton	NOUN
ejpam-5640	14	23	,	,	PUNCT
ejpam-5640	14	24	supercontinuum	supercontinuum	NOUN
ejpam-5640	14	25	generation	generation	NOUN
ejpam-5640	14	26	,	,	PUNCT
ejpam-5640	14	27	phase	phase	NOUN
ejpam-5640	14	28	modulation	modulation	NOUN
ejpam-5640	14	29	,	,	PUNCT
ejpam-5640	14	30	stimulated	stimulate	VERB
ejpam-5640	14	31	scattering	scattering	NOUN
ejpam-5640	14	32	,	,	PUNCT
ejpam-5640	14	33	and	and	CCONJ
ejpam-5640	14	34	parametric	parametric	ADJ
ejpam-5640	14	35	scattering	scatter	VERB
ejpam-5640	14	36	processes	process	NOUN
ejpam-5640	14	37	,	,	PUNCT
ejpam-5640	14	38	among	among	ADP
ejpam-5640	14	39	others	other	NOUN
ejpam-5640	14	40	.	.	PUNCT
ejpam-5640	15	1	additionally	additionally	ADV
ejpam-5640	15	2	,	,	PUNCT
ejpam-5640	15	3	when	when	SCONJ
ejpam-5640	15	4	considering	consider	VERB
ejpam-5640	15	5	the	the	DET
ejpam-5640	15	6	field	field	NOUN
ejpam-5640	15	7	of	of	ADP
ejpam-5640	15	8	optical	optical	ADJ
ejpam-5640	15	9	signal	signal	NOUN
ejpam-5640	15	10	processing	processing	NOUN
ejpam-5640	15	11	,	,	PUNCT
ejpam-5640	15	12	it	it	PRON
ejpam-5640	15	13	is	be	AUX
ejpam-5640	15	14	essential	essential	ADJ
ejpam-5640	15	15	to	to	PART
ejpam-5640	15	16	examine	examine	VERB
ejpam-5640	15	17	the	the	DET
ejpam-5640	15	18	dynamical	dynamical	ADJ
ejpam-5640	15	19	characterization	characterization	NOUN
ejpam-5640	15	20	of	of	ADP
ejpam-5640	15	21	pulse	pulse	NOUN
ejpam-5640	15	22	transmission	transmission	NOUN
ejpam-5640	15	23	processes	process	NOUN
ejpam-5640	15	24	,	,	PUNCT
ejpam-5640	15	25	such	such	ADJ
ejpam-5640	15	26	as	as	ADP
ejpam-5640	15	27	wavelength	wavelength	NOUN
ejpam-5640	15	28	conversion	conversion	NOUN
ejpam-5640	15	29	,	,	PUNCT
ejpam-5640	15	30	optical	optical	ADJ
ejpam-5640	15	31	amplification	amplification	NOUN
ejpam-5640	15	32	,	,	PUNCT
ejpam-5640	15	33	pulse	pulse	NOUN
ejpam-5640	15	34	generation	generation	NOUN
ejpam-5640	15	35	,	,	PUNCT
ejpam-5640	15	36	and	and	CCONJ
ejpam-5640	15	37	multi	multi	ADJ
ejpam-5640	15	38	-	-	ADJ
ejpam-5640	15	39	wavelength	wavelength	ADJ
ejpam-5640	15	40	sources	source	NOUN
ejpam-5640	15	41	,	,	PUNCT
ejpam-5640	15	42	to	to	PART
ejpam-5640	15	43	name	name	VERB
ejpam-5640	15	44	a	a	DET
ejpam-5640	15	45	few	few	ADJ
ejpam-5640	15	46	.	.	PUNCT
ejpam-5640	16	1	however	however	ADV
ejpam-5640	16	2	,	,	PUNCT
ejpam-5640	16	3	in	in	ADP
ejpam-5640	16	4	connection	connection	NOUN
ejpam-5640	16	5	with	with	ADP
ejpam-5640	16	6	the	the	DET
ejpam-5640	16	7	aforementioned	aforementioned	ADJ
ejpam-5640	16	8	nonlinear	nonlinear	ADJ
ejpam-5640	16	9	wave	wave	NOUN
ejpam-5640	16	10	phenomena	phenomena	PROPN
ejpam-5640	16	11	,	,	PUNCT
ejpam-5640	16	12	it	it	PRON
ejpam-5640	16	13	is	be	AUX
ejpam-5640	16	14	important	important	ADJ
ejpam-5640	16	15	to	to	PART
ejpam-5640	16	16	mention	mention	VERB
ejpam-5640	16	17	the	the	DET
ejpam-5640	16	18	nonlinear	nonlinear	ADJ
ejpam-5640	16	19	schrödinger	schrödinger	NOUN
ejpam-5640	16	20	equations	equation	NOUN
ejpam-5640	16	21	(	(	PUNCT
ejpam-5640	16	22	nlses	nlse	NOUN
ejpam-5640	16	23	)	)	PUNCT
ejpam-5640	16	24	as	as	ADP
ejpam-5640	16	25	the	the	DET
ejpam-5640	16	26	governing	govern	VERB
ejpam-5640	16	27	mathematical	mathematical	ADJ
ejpam-5640	16	28	model	model	NOUN
ejpam-5640	16	29	for	for	ADP
ejpam-5640	16	30	describing	describe	VERB
ejpam-5640	16	31	nonlinear	nonlinear	ADJ
ejpam-5640	16	32	wave	wave	NOUN
ejpam-5640	16	33	propagation	propagation	NOUN
ejpam-5640	16	34	in	in	ADP
ejpam-5640	16	35	optical	optical	ADJ
ejpam-5640	16	36	media	medium	NOUN
ejpam-5640	16	37	[	[	X
ejpam-5640	16	38	11	11	NUM
ejpam-5640	16	39	,	,	PUNCT
ejpam-5640	16	40	13	13	NUM
ejpam-5640	16	41	,	,	PUNCT
ejpam-5640	16	42	14	14	NUM
ejpam-5640	16	43	,	,	PUNCT
ejpam-5640	16	44	19	19	NUM
ejpam-5640	16	45	,	,	PUNCT
ejpam-5640	16	46	21	21	NUM
ejpam-5640	16	47	]	]	PUNCT
ejpam-5640	16	48	.	.	PUNCT
ejpam-5640	17	1	indeed	indeed	ADV
ejpam-5640	17	2	,	,	PUNCT
ejpam-5640	17	3	recent	recent	ADJ
ejpam-5640	17	4	years	year	NOUN
ejpam-5640	17	5	have	have	AUX
ejpam-5640	17	6	witnessed	witness	VERB
ejpam-5640	17	7	significant	significant	ADJ
ejpam-5640	17	8	progress	progress	NOUN
ejpam-5640	17	9	in	in	ADP
ejpam-5640	17	10	the	the	DET
ejpam-5640	17	11	study	study	NOUN
ejpam-5640	17	12	of	of	ADP
ejpam-5640	17	13	optical	optical	ADJ
ejpam-5640	17	14	waves	wave	NOUN
ejpam-5640	17	15	,	,	PUNCT
ejpam-5640	17	16	primarily	primarily	ADV
ejpam-5640	17	17	in	in	ADP
ejpam-5640	17	18	polarization	polarization	NOUN
ejpam-5640	17	19	-	-	PUNCT
ejpam-5640	17	20	preserving	preserve	VERB
ejpam-5640	17	21	fibers	fiber	NOUN
ejpam-5640	17	22	,	,	PUNCT
ejpam-5640	17	23	with	with	ADP
ejpam-5640	17	24	limited	limited	ADJ
ejpam-5640	17	25	contributions	contribution	NOUN
ejpam-5640	17	26	to	to	PART
ejpam-5640	17	27	birefringent	birefringent	VERB
ejpam-5640	17	28	fibers	fiber	NOUN
ejpam-5640	17	29	.	.	PUNCT
ejpam-5640	18	1	in	in	ADP
ejpam-5640	18	2	these	these	DET
ejpam-5640	18	3	fibers	fiber	NOUN
ejpam-5640	18	4	,	,	PUNCT
ejpam-5640	18	5	the	the	DET
ejpam-5640	18	6	propagation	propagation	NOUN
ejpam-5640	18	7	of	of	ADP
ejpam-5640	18	8	optical	optical	ADJ
ejpam-5640	18	9	solitons	soliton	NOUN
ejpam-5640	18	10	is	be	AUX
ejpam-5640	18	11	governed	govern	VERB
ejpam-5640	18	12	by	by	ADP
ejpam-5640	18	13	a	a	DET
ejpam-5640	18	14	coupled	couple	VERB
ejpam-5640	18	15	system	system	NOUN
ejpam-5640	18	16	[	[	X
ejpam-5640	18	17	3	3	NUM
ejpam-5640	18	18	,	,	PUNCT
ejpam-5640	18	19	5	5	NUM
ejpam-5640	18	20	,	,	PUNCT
ejpam-5640	18	21	17	17	NUM
ejpam-5640	18	22	,	,	PUNCT
ejpam-5640	18	23	18	18	NUM
ejpam-5640	18	24	,	,	PUNCT
ejpam-5640	18	25	20	20	NUM
ejpam-5640	18	26	,	,	PUNCT
ejpam-5640	18	27	22	22	NUM
ejpam-5640	18	28	,	,	PUNCT
ejpam-5640	18	29	29–32	29–32	NUM
ejpam-5640	18	30	]	]	PUNCT
ejpam-5640	18	31	,	,	PUNCT
ejpam-5640	18	32	which	which	PRON
ejpam-5640	18	33	is	be	AUX
ejpam-5640	18	34	the	the	DET
ejpam-5640	18	35	focus	focus	NOUN
ejpam-5640	18	36	of	of	ADP
ejpam-5640	18	37	the	the	DET
ejpam-5640	18	38	current	current	ADJ
ejpam-5640	18	39	study	study	NOUN
ejpam-5640	18	40	.	.	PUNCT
ejpam-5640	19	1	the	the	DET
ejpam-5640	19	2	transmission	transmission	NOUN
ejpam-5640	19	3	of	of	ADP
ejpam-5640	19	4	optical	optical	ADJ
ejpam-5640	19	5	pulses	pulse	NOUN
ejpam-5640	19	6	in	in	ADP
ejpam-5640	19	7	birefringent	birefringent	NOUN
ejpam-5640	19	8	fiber	fiber	NOUN
ejpam-5640	19	9	media	medium	NOUN
ejpam-5640	19	10	is	be	AUX
ejpam-5640	19	11	characterized	characterize	VERB
ejpam-5640	19	12	by	by	ADP
ejpam-5640	19	13	polarization	polarization	NOUN
ejpam-5640	19	14	,	,	PUNCT
ejpam-5640	19	15	often	often	ADV
ejpam-5640	19	16	caused	cause	VERB
ejpam-5640	19	17	by	by	ADP
ejpam-5640	19	18	variations	variation	NOUN
ejpam-5640	19	19	in	in	ADP
ejpam-5640	19	20	fiber	fiber	NOUN
ejpam-5640	19	21	diameter	diameter	NOUN
ejpam-5640	19	22	,	,	PUNCT
ejpam-5640	19	23	non	non	NOUN
ejpam-5640	19	24	-	-	NOUN
ejpam-5640	19	25	uniformities	uniformity	NOUN
ejpam-5640	19	26	in	in	ADP
ejpam-5640	19	27	the	the	DET
ejpam-5640	19	28	fiber	fiber	NOUN
ejpam-5640	19	29	,	,	PUNCT
ejpam-5640	19	30	or	or	CCONJ
ejpam-5640	19	31	technical	technical	ADJ
ejpam-5640	19	32	issues	issue	NOUN
ejpam-5640	19	33	such	such	ADJ
ejpam-5640	19	34	as	as	ADP
ejpam-5640	19	35	fiber	fiber	NOUN
ejpam-5640	19	36	bends	bend	NOUN
ejpam-5640	19	37	and	and	CCONJ
ejpam-5640	19	38	external	external	ADJ
ejpam-5640	19	39	stress	stress	NOUN
ejpam-5640	19	40	.	.	PUNCT
ejpam-5640	20	1	these	these	DET
ejpam-5640	20	2	factors	factor	NOUN
ejpam-5640	20	3	lead	lead	VERB
ejpam-5640	20	4	to	to	ADP
ejpam-5640	20	5	various	various	ADJ
ejpam-5640	20	6	challenges	challenge	NOUN
ejpam-5640	20	7	,	,	PUNCT
ejpam-5640	20	8	including	include	VERB
ejpam-5640	20	9	polarization	polarization	NOUN
ejpam-5640	20	10	mode	mode	NOUN
ejpam-5640	20	11	dispersion	dispersion	NOUN
ejpam-5640	20	12	,	,	PUNCT
ejpam-5640	20	13	which	which	PRON
ejpam-5640	20	14	is	be	AUX
ejpam-5640	20	15	primarily	primarily	ADV
ejpam-5640	20	16	characterized	characterize	VERB
ejpam-5640	20	17	by	by	ADP
ejpam-5640	20	18	pulse	pulse	NOUN
ejpam-5640	20	19	differential	differential	PROPN
ejpam-5640	20	20	group	group	NOUN
ejpam-5640	20	21	delay	delay	NOUN
ejpam-5640	20	22	[	[	X
ejpam-5640	20	23	8	8	NUM
ejpam-5640	20	24	]	]	PUNCT
ejpam-5640	20	25	.	.	PUNCT
ejpam-5640	21	1	this	this	PRON
ejpam-5640	21	2	poses	pose	VERB
ejpam-5640	21	3	a	a	DET
ejpam-5640	21	4	significant	significant	ADJ
ejpam-5640	21	5	setback	setback	NOUN
ejpam-5640	21	6	for	for	ADP
ejpam-5640	21	7	long	long	ADJ
ejpam-5640	21	8	-	-	PUNCT
ejpam-5640	21	9	distance	distance	NOUN
ejpam-5640	21	10	transmission	transmission	NOUN
ejpam-5640	21	11	of	of	ADP
ejpam-5640	21	12	pulses	pulse	NOUN
ejpam-5640	21	13	through	through	ADP
ejpam-5640	21	14	fiber	fiber	NOUN
ejpam-5640	21	15	devices	device	NOUN
ejpam-5640	21	16	,	,	PUNCT
ejpam-5640	21	17	especially	especially	ADV
ejpam-5640	21	18	over	over	ADP
ejpam-5640	21	19	transoceanic	transoceanic	ADJ
ejpam-5640	21	20	and	and	CCONJ
ejpam-5640	21	21	transcontinental	transcontinental	ADJ
ejpam-5640	21	22	distances	distance	NOUN
ejpam-5640	21	23	.	.	PUNCT
ejpam-5640	22	1	moreover	moreover	ADV
ejpam-5640	22	2	,	,	PUNCT
ejpam-5640	22	3	birefringence	birefringence	NOUN
ejpam-5640	22	4	in	in	ADP
ejpam-5640	22	5	birefringent	birefringent	NOUN
ejpam-5640	22	6	fibers	fiber	NOUN
ejpam-5640	22	7	(	(	PUNCT
ejpam-5640	22	8	bfs	bfs	NOUN
ejpam-5640	22	9	)	)	PUNCT
ejpam-5640	22	10	is	be	AUX
ejpam-5640	22	11	associated	associate	VERB
ejpam-5640	22	12	with	with	ADP
ejpam-5640	22	13	the	the	DET
ejpam-5640	22	14	splitting	splitting	NOUN
ejpam-5640	22	15	of	of	ADP
ejpam-5640	22	16	optical	optical	ADJ
ejpam-5640	22	17	pulses	pulse	NOUN
ejpam-5640	22	18	into	into	ADP
ejpam-5640	22	19	independent	independent	ADJ
ejpam-5640	22	20	orthogonally	orthogonally	ADV
ejpam-5640	22	21	polarized	polarize	VERB
ejpam-5640	22	22	components	component	NOUN
ejpam-5640	22	23	,	,	PUNCT
ejpam-5640	22	24	constant	constant	ADJ
ejpam-5640	22	25	group	group	NOUN
ejpam-5640	22	26	velocities	velocity	NOUN
ejpam-5640	22	27	,	,	PUNCT
ejpam-5640	22	28	variable	variable	ADJ
ejpam-5640	22	29	propagation	propagation	NOUN
ejpam-5640	22	30	characteristics	characteristic	NOUN
ejpam-5640	22	31	,	,	PUNCT
ejpam-5640	22	32	and	and	CCONJ
ejpam-5640	22	33	weak	weak	ADJ
ejpam-5640	22	34	circular	circular	ADJ
ejpam-5640	22	35	symmetries	symmetry	NOUN
ejpam-5640	22	36	.	.	PUNCT
ejpam-5640	23	1	this	this	DET
ejpam-5640	23	2	complexity	complexity	NOUN
ejpam-5640	23	3	necessitates	necessitate	VERB
ejpam-5640	23	4	that	that	SCONJ
ejpam-5640	23	5	the	the	DET
ejpam-5640	23	6	governing	govern	VERB
ejpam-5640	23	7	nlse	nlse	NOUN
ejpam-5640	23	8	be	be	AUX
ejpam-5640	23	9	expressed	express	VERB
ejpam-5640	23	10	as	as	ADP
ejpam-5640	23	11	a	a	DET
ejpam-5640	23	12	coupled	couple	VERB
ejpam-5640	23	13	system	system	NOUN
ejpam-5640	23	14	of	of	ADP
ejpam-5640	23	15	equations	equation	NOUN
ejpam-5640	23	16	[	[	X
ejpam-5640	23	17	6	6	NUM
ejpam-5640	23	18	]	]	PUNCT
ejpam-5640	23	19	.	.	PUNCT
ejpam-5640	24	1	additionally	additionally	ADV
ejpam-5640	24	2	,	,	PUNCT
ejpam-5640	24	3	the	the	DET
ejpam-5640	24	4	concept	concept	NOUN
ejpam-5640	24	5	of	of	ADP
ejpam-5640	24	6	cubic	cubic	NOUN
ejpam-5640	24	7	-	-	PUNCT
ejpam-5640	24	8	quartic	quartic	ADJ
ejpam-5640	24	9	(	(	PUNCT
ejpam-5640	24	10	cq	cq	NOUN
ejpam-5640	24	11	)	)	PUNCT
ejpam-5640	24	12	solitons	soliton	NOUN
ejpam-5640	24	13	arises	arise	VERB
ejpam-5640	24	14	from	from	ADP
ejpam-5640	24	15	a	a	DET
ejpam-5640	24	16	delicate	delicate	ADJ
ejpam-5640	24	17	balance	balance	NOUN
ejpam-5640	24	18	between	between	ADP
ejpam-5640	24	19	selfphase	selfphase	PROPN
ejpam-5640	24	20	modulation	modulation	NOUN
ejpam-5640	24	21	and	and	CCONJ
ejpam-5640	24	22	chromatic	chromatic	ADJ
ejpam-5640	24	23	dispersion	dispersion	NOUN
ejpam-5640	24	24	(	(	PUNCT
ejpam-5640	24	25	cd	cd	PROPN
ejpam-5640	24	26	)	)	PUNCT
ejpam-5640	24	27	,	,	PUNCT
ejpam-5640	24	28	particularly	particularly	ADV
ejpam-5640	24	29	when	when	SCONJ
ejpam-5640	24	30	the	the	DET
ejpam-5640	24	31	cd	cd	PROPN
ejpam-5640	24	32	is	be	AUX
ejpam-5640	24	33	relatively	relatively	ADV
ejpam-5640	24	34	low	low	ADJ
ejpam-5640	24	35	.	.	PUNCT
ejpam-5640	25	1	the	the	DET
ejpam-5640	25	2	restoration	restoration	NOUN
ejpam-5640	25	3	of	of	ADP
ejpam-5640	25	4	the	the	DET
ejpam-5640	25	5	required	require	VERB
ejpam-5640	25	6	equilibrium	equilibrium	NOUN
ejpam-5640	25	7	due	due	ADP
ejpam-5640	25	8	to	to	ADP
ejpam-5640	25	9	insufficient	insufficient	ADJ
ejpam-5640	25	10	cd	cd	NOUN
ejpam-5640	25	11	further	far	ADV
ejpam-5640	25	12	involves	involve	VERB
ejpam-5640	25	13	the	the	DET
ejpam-5640	25	14	contributions	contribution	NOUN
ejpam-5640	25	15	of	of	ADP
ejpam-5640	25	16	the	the	DET
ejpam-5640	25	17	third	third	ADJ
ejpam-5640	25	18	-	-	PUNCT
ejpam-5640	25	19	order	order	NOUN
ejpam-5640	25	20	dispersion	dispersion	NOUN
ejpam-5640	25	21	(	(	PUNCT
ejpam-5640	25	22	3od	3od	ADJ
ejpam-5640	25	23	)	)	PUNCT
ejpam-5640	25	24	and	and	CCONJ
ejpam-5640	25	25	fourth	fourth	ADJ
ejpam-5640	25	26	-	-	PUNCT
ejpam-5640	25	27	order	order	NOUN
ejpam-5640	25	28	dispersion	dispersion	NOUN
ejpam-5640	25	29	(	(	PUNCT
ejpam-5640	25	30	4od	4od	ADJ
ejpam-5640	25	31	)	)	PUNCT
ejpam-5640	25	32	terms	term	NOUN
ejpam-5640	25	33	.	.	PUNCT
ejpam-5640	26	1	this	this	DET
ejpam-5640	26	2	phenomenon	phenomenon	NOUN
ejpam-5640	26	3	has	have	AUX
ejpam-5640	26	4	been	be	AUX
ejpam-5640	26	5	referred	refer	VERB
ejpam-5640	26	6	to	to	ADP
ejpam-5640	26	7	as	as	ADP
ejpam-5640	26	8	cq	cq	PROPN
ejpam-5640	26	9	dispersive	dispersive	ADJ
ejpam-5640	26	10	effects	effect	NOUN
ejpam-5640	26	11	[	[	X
ejpam-5640	26	12	7	7	NUM
ejpam-5640	26	13	,	,	PUNCT
ejpam-5640	26	14	10	10	NUM
ejpam-5640	26	15	]	]	PUNCT
ejpam-5640	26	16	,	,	PUNCT
ejpam-5640	26	17	marking	mark	VERB
ejpam-5640	26	18	a	a	DET
ejpam-5640	26	19	breakthrough	breakthrough	ADJ
ejpam-5640	26	20	discovery	discovery	NOUN
ejpam-5640	26	21	in	in	ADP
ejpam-5640	26	22	optical	optical	ADJ
ejpam-5640	26	23	fiber	fiber	NOUN
ejpam-5640	26	24	communication	communication	NOUN
ejpam-5640	26	25	in	in	ADP
ejpam-5640	26	26	2017	2017	NUM
ejpam-5640	26	27	,	,	PUNCT
ejpam-5640	26	28	which	which	PRON
ejpam-5640	26	29	continues	continue	VERB
ejpam-5640	26	30	to	to	PART
ejpam-5640	26	31	be	be	AUX
ejpam-5640	26	32	relevant	relevant	ADJ
ejpam-5640	26	33	today	today	NOUN
ejpam-5640	26	34	.	.	PUNCT
ejpam-5640	27	1	for	for	ADP
ejpam-5640	27	2	further	further	ADJ
ejpam-5640	27	3	insights	insight	NOUN
ejpam-5640	27	4	,	,	PUNCT
ejpam-5640	27	5	see	see	VERB
ejpam-5640	27	6	[	[	X
ejpam-5640	27	7	27	27	NUM
ejpam-5640	27	8	]	]	PUNCT
ejpam-5640	27	9	for	for	ADP
ejpam-5640	27	10	a	a	DET
ejpam-5640	27	11	discussion	discussion	NOUN
ejpam-5640	27	12	of	of	ADP
ejpam-5640	27	13	various	various	ADJ
ejpam-5640	27	14	analytical	analytical	ADJ
ejpam-5640	27	15	solitonic	solitonic	NOUN
ejpam-5640	27	16	structures	structure	NOUN
ejpam-5640	27	17	featuring	feature	VERB
ejpam-5640	27	18	cq	cq	NOUN
ejpam-5640	27	19	nonlinearity	nonlinearity	NOUN
ejpam-5640	27	20	.	.	PUNCT
ejpam-5640	28	1	nevertheless	nevertheless	ADV
ejpam-5640	28	2	,	,	PUNCT
ejpam-5640	28	3	the	the	DET
ejpam-5640	28	4	current	current	ADJ
ejpam-5640	28	5	study	study	NOUN
ejpam-5640	28	6	intends	intend	VERB
ejpam-5640	28	7	to	to	PART
ejpam-5640	28	8	utilize	utilize	VERB
ejpam-5640	28	9	the	the	DET
ejpam-5640	28	10	renowned	renowned	ADJ
ejpam-5640	28	11	numerical	numerical	ADJ
ejpam-5640	28	12	method	method	NOUN
ejpam-5640	28	13	known	know	VERB
ejpam-5640	28	14	as	as	ADP
ejpam-5640	28	15	the	the	DET
ejpam-5640	28	16	improved	improved	ADJ
ejpam-5640	28	17	adomian	adomian	NOUN
ejpam-5640	28	18	decomposition	decomposition	NOUN
ejpam-5640	28	19	method	method	NOUN
ejpam-5640	28	20	(	(	PUNCT
ejpam-5640	28	21	iadm	iadm	ADJ
ejpam-5640	28	22	)	)	PUNCT
ejpam-5640	28	23	to	to	PART
ejpam-5640	28	24	derive	derive	VERB
ejpam-5640	28	25	a	a	DET
ejpam-5640	28	26	generalized	generalized	ADJ
ejpam-5640	28	27	numerical	numerical	ADJ
ejpam-5640	28	28	scheme	scheme	NOUN
ejpam-5640	28	29	for	for	ADP
ejpam-5640	28	30	the	the	DET
ejpam-5640	28	31	approximate	approximate	ADJ
ejpam-5640	28	32	solution	solution	NOUN
ejpam-5640	28	33	of	of	ADP
ejpam-5640	28	34	the	the	DET
ejpam-5640	28	35	nlse	nlse	NOUN
ejpam-5640	28	36	[	[	X
ejpam-5640	28	37	33	33	NUM
ejpam-5640	28	38	,	,	PUNCT
ejpam-5640	28	39	34	34	NUM
ejpam-5640	28	40	]	]	PUNCT
ejpam-5640	28	41	with	with	ADP
ejpam-5640	28	42	cq	cq	NOUN
ejpam-5640	28	43	nonlinearity	nonlinearity	NOUN
ejpam-5640	28	44	in	in	ADP
ejpam-5640	28	45	birefringent	birefringent	NOUN
ejpam-5640	28	46	fibers	fiber	NOUN
ejpam-5640	28	47	.	.	PUNCT
ejpam-5640	29	1	iadm	iadm	ADJ
ejpam-5640	30	1	[	[	X
ejpam-5640	30	2	2	2	NUM
ejpam-5640	30	3	,	,	PUNCT
ejpam-5640	30	4	12	12	NUM
ejpam-5640	30	5	,	,	PUNCT
ejpam-5640	30	6	15	15	NUM
ejpam-5640	30	7	,	,	PUNCT
ejpam-5640	30	8	25	25	NUM
ejpam-5640	30	9	]	]	PUNCT
ejpam-5640	30	10	is	be	AUX
ejpam-5640	30	11	based	base	VERB
ejpam-5640	30	12	on	on	ADP
ejpam-5640	30	13	the	the	DET
ejpam-5640	30	14	classical	classical	ADJ
ejpam-5640	30	15	adomian	adomian	NOUN
ejpam-5640	30	16	decomposition	decomposition	NOUN
ejpam-5640	30	17	approach	approach	NOUN
ejpam-5640	30	18	,	,	PUNCT
ejpam-5640	30	19	significantly	significantly	ADV
ejpam-5640	30	20	improved	improve	VERB
ejpam-5640	30	21	to	to	PART
ejpam-5640	30	22	tackle	tackle	VERB
ejpam-5640	30	23	complex	complex	ADV
ejpam-5640	30	24	-	-	PUNCT
ejpam-5640	30	25	valued	value	VERB
ejpam-5640	30	26	nonlinear	nonlinear	ADJ
ejpam-5640	30	27	evolution	evolution	NOUN
ejpam-5640	30	28	equations	equation	NOUN
ejpam-5640	30	29	;	;	PUNCT
ejpam-5640	30	30	see	see	VERB
ejpam-5640	30	31	also	also	ADV
ejpam-5640	30	32	other	other	ADJ
ejpam-5640	30	33	related	relate	VERB
ejpam-5640	30	34	efficient	efficient	ADJ
ejpam-5640	30	35	computational	computational	ADJ
ejpam-5640	30	36	procedures	procedure	NOUN
ejpam-5640	30	37	in	in	ADP
ejpam-5640	30	38	[	[	X
ejpam-5640	30	39	16	16	NUM
ejpam-5640	30	40	,	,	PUNCT
ejpam-5640	30	41	23	23	NUM
ejpam-5640	30	42	,	,	PUNCT
ejpam-5640	30	43	24	24	NUM
ejpam-5640	30	44	,	,	PUNCT
ejpam-5640	30	45	26	26	NUM
ejpam-5640	30	46	]	]	PUNCT
ejpam-5640	30	47	.	.	PUNCT
ejpam-5640	31	1	additionally	additionally	ADV
ejpam-5640	31	2	,	,	PUNCT
ejpam-5640	31	3	the	the	DET
ejpam-5640	31	4	study	study	NOUN
ejpam-5640	31	5	seeks	seek	VERB
ejpam-5640	31	6	to	to	PART
ejpam-5640	31	7	employ	employ	VERB
ejpam-5640	31	8	certain	certain	ADJ
ejpam-5640	31	9	analytical	analytical	ADJ
ejpam-5640	31	10	solitonic	solitonic	NOUN
ejpam-5640	31	11	expressions	expression	NOUN
ejpam-5640	31	12	related	relate	VERB
ejpam-5640	31	13	to	to	ADP
ejpam-5640	31	14	the	the	DET
ejpam-5640	31	15	governing	govern	VERB
ejpam-5640	31	16	model	model	NOUN
ejpam-5640	31	17	to	to	PART
ejpam-5640	31	18	validate	validate	VERB
ejpam-5640	31	19	the	the	DET
ejpam-5640	31	20	efficacy	efficacy	NOUN
ejpam-5640	31	21	of	of	ADP
ejpam-5640	31	22	the	the	DET
ejpam-5640	31	23	devised	devise	VERB
ejpam-5640	31	24	numerical	numerical	ADJ
ejpam-5640	31	25	scheme	scheme	NOUN
ejpam-5640	31	26	.	.	PUNCT
ejpam-5640	32	1	to	to	ADP
ejpam-5640	32	2	this	this	DET
ejpam-5640	32	3	end	end	NOUN
ejpam-5640	32	4	,	,	PUNCT
ejpam-5640	32	5	the	the	DET
ejpam-5640	32	6	recent	recent	ADJ
ejpam-5640	32	7	study	study	NOUN
ejpam-5640	32	8	by	by	ADP
ejpam-5640	32	9	uddin	uddin	PROPN
ejpam-5640	32	10	and	and	CCONJ
ejpam-5640	32	11	hafez	hafez	VERB
ejpam-5640	33	1	[	[	X
ejpam-5640	33	2	27	27	NUM
ejpam-5640	33	3	]	]	PUNCT
ejpam-5640	33	4	will	will	AUX
ejpam-5640	33	5	serve	serve	VERB
ejpam-5640	33	6	as	as	ADP
ejpam-5640	33	7	a	a	DET
ejpam-5640	33	8	benchmark	benchmark	NOUN
ejpam-5640	33	9	,	,	PUNCT
ejpam-5640	33	10	using	use	VERB
ejpam-5640	33	11	their	their	PRON
ejpam-5640	33	12	promising	promising	ADJ
ejpam-5640	33	13	new	new	ADJ
ejpam-5640	33	14	extended	extended	ADJ
ejpam-5640	33	15	direct	direct	ADJ
ejpam-5640	33	16	algebraic	algebraic	ADJ
ejpam-5640	33	17	method	method	NOUN
ejpam-5640	33	18	(	(	PUNCT
ejpam-5640	33	19	edam	edam	NOUN
ejpam-5640	33	20	)	)	PUNCT
ejpam-5640	33	21	for	for	ADP
ejpam-5640	33	22	comparison	comparison	NOUN
ejpam-5640	33	23	.	.	PUNCT
ejpam-5640	34	1	furthermore	furthermore	ADV
ejpam-5640	34	2	,	,	PUNCT
ejpam-5640	34	3	the	the	DET
ejpam-5640	34	4	study	study	NOUN
ejpam-5640	34	5	aims	aim	VERB
ejpam-5640	34	6	to	to	PART
ejpam-5640	34	7	thoroughly	thoroughly	ADV
ejpam-5640	34	8	examine	examine	VERB
ejpam-5640	34	9	the	the	DET
ejpam-5640	34	10	level	level	NOUN
ejpam-5640	34	11	of	of	ADP
ejpam-5640	34	12	error	error	NOUN
ejpam-5640	34	13	compliance	compliance	NOUN
ejpam-5640	34	14	,	,	PUNCT
ejpam-5640	34	15	assessing	assess	VERB
ejpam-5640	34	16	the	the	DET
ejpam-5640	34	17	conformity	conformity	NOUN
ejpam-5640	34	18	of	of	ADP
ejpam-5640	34	19	the	the	DET
ejpam-5640	34	20	proposed	propose	VERB
ejpam-5640	34	21	numerical	numerical	ADJ
ejpam-5640	34	22	solutions	solution	NOUN
ejpam-5640	34	23	with	with	ADP
ejpam-5640	34	24	the	the	DET
ejpam-5640	34	25	adopted	adopt	VERB
ejpam-5640	34	26	analytical	analytical	ADJ
ejpam-5640	34	27	solutions	solution	NOUN
ejpam-5640	34	28	[	[	X
ejpam-5640	34	29	27	27	NUM
ejpam-5640	34	30	]	]	PUNCT
ejpam-5640	34	31	.	.	PUNCT
ejpam-5640	35	1	various	various	ADJ
ejpam-5640	35	2	tables	table	NOUN
ejpam-5640	35	3	and	and	CCONJ
ejpam-5640	35	4	plots	plot	NOUN
ejpam-5640	35	5	will	will	AUX
ejpam-5640	35	6	be	be	AUX
ejpam-5640	35	7	provided	provide	VERB
ejpam-5640	35	8	for	for	ADP
ejpam-5640	35	9	greater	great	ADJ
ejpam-5640	35	10	clarity	clarity	NOUN
ejpam-5640	35	11	.	.	PUNCT
ejpam-5640	36	1	besides	besides	SCONJ
ejpam-5640	36	2	,	,	PUNCT
ejpam-5640	36	3	among	among	ADP
ejpam-5640	36	4	the	the	DET
ejpam-5640	36	5	novelty	novelty	NOUN
ejpam-5640	36	6	of	of	ADP
ejpam-5640	36	7	the	the	DET
ejpam-5640	36	8	current	current	ADJ
ejpam-5640	36	9	a.	a.	NOUN
ejpam-5640	36	10	m.	m.	NOUN
ejpam-5640	36	11	almalki	almalki	ADP
ejpam-5640	36	12	et	et	PROPN
ejpam-5640	36	13	al	al	PROPN
ejpam-5640	36	14	.	.	PUNCT
ejpam-5640	36	15	/	/	SYM
ejpam-5640	36	16	eur	eur	PROPN
ejpam-5640	36	17	.	.	PUNCT
ejpam-5640	37	1	j.	j.	PROPN
ejpam-5640	37	2	pure	pure	PROPN
ejpam-5640	37	3	appl	appl	PROPN
ejpam-5640	37	4	.	.	PROPN
ejpam-5640	37	5	math	math	PROPN
ejpam-5640	37	6	,	,	PUNCT
ejpam-5640	37	7	18	18	NUM
ejpam-5640	37	8	(	(	PUNCT
ejpam-5640	37	9	1	1	NUM
ejpam-5640	37	10	)	)	PUNCT
ejpam-5640	37	11	(	(	PUNCT
ejpam-5640	37	12	2025	2025	NUM
ejpam-5640	37	13	)	)	PUNCT
ejpam-5640	37	14	,	,	PUNCT
ejpam-5640	37	15	5640	5640	NUM
ejpam-5640	37	16	3	3	NUM
ejpam-5640	37	17	of	of	ADP
ejpam-5640	37	18	16	16	NUM
ejpam-5640	37	19	study	study	NOUN
ejpam-5640	37	20	includes	include	VERB
ejpam-5640	37	21	enhanced	enhance	VERB
ejpam-5640	37	22	analytical	analytical	ADJ
ejpam-5640	37	23	capability	capability	NOUN
ejpam-5640	37	24	,	,	PUNCT
ejpam-5640	37	25	generalization	generalization	NOUN
ejpam-5640	37	26	of	of	ADP
ejpam-5640	37	27	approach	approach	NOUN
ejpam-5640	37	28	,	,	PUNCT
ejpam-5640	37	29	and	and	CCONJ
ejpam-5640	37	30	the	the	DET
ejpam-5640	37	31	validation	validation	NOUN
ejpam-5640	37	32	of	of	ADP
ejpam-5640	37	33	methods	method	NOUN
ejpam-5640	37	34	among	among	ADP
ejpam-5640	37	35	others	other	NOUN
ejpam-5640	37	36	.	.	PUNCT
ejpam-5640	38	1	in	in	ADP
ejpam-5640	38	2	the	the	DET
ejpam-5640	38	3	same	same	ADJ
ejpam-5640	38	4	vein	vein	NOUN
ejpam-5640	38	5	,	,	PUNCT
ejpam-5640	38	6	one	one	PRON
ejpam-5640	38	7	may	may	AUX
ejpam-5640	38	8	find	find	VERB
ejpam-5640	38	9	various	various	ADJ
ejpam-5640	38	10	significance	significance	NOUN
ejpam-5640	38	11	of	of	ADP
ejpam-5640	38	12	the	the	DET
ejpam-5640	38	13	study	study	NOUN
ejpam-5640	38	14	to	to	PART
ejpam-5640	38	15	include	include	VERB
ejpam-5640	38	16	,	,	PUNCT
ejpam-5640	38	17	among	among	ADP
ejpam-5640	38	18	others	other	NOUN
ejpam-5640	38	19	,	,	PUNCT
ejpam-5640	38	20	alignment	alignment	NOUN
ejpam-5640	38	21	with	with	ADP
ejpam-5640	38	22	established	establish	VERB
ejpam-5640	38	23	theories	theory	NOUN
ejpam-5640	38	24	,	,	PUNCT
ejpam-5640	38	25	high	high	ADJ
ejpam-5640	38	26	accuracy	accuracy	NOUN
ejpam-5640	38	27	of	of	ADP
ejpam-5640	38	28	the	the	DET
ejpam-5640	38	29	proposed	propose	VERB
ejpam-5640	38	30	numerical	numerical	ADJ
ejpam-5640	38	31	scheme	scheme	NOUN
ejpam-5640	38	32	,	,	PUNCT
ejpam-5640	38	33	provision	provision	NOUN
ejpam-5640	38	34	of	of	ADP
ejpam-5640	38	35	more	more	ADJ
ejpam-5640	38	36	into	into	ADP
ejpam-5640	38	37	nonlinear	nonlinear	ADJ
ejpam-5640	38	38	dynamics	dynamic	NOUN
ejpam-5640	38	39	and	and	CCONJ
ejpam-5640	38	40	setting	set	VERB
ejpam-5640	38	41	solid	solid	ADJ
ejpam-5640	38	42	foundation	foundation	NOUN
ejpam-5640	38	43	for	for	ADP
ejpam-5640	38	44	future	future	ADJ
ejpam-5640	38	45	undertaking	undertaking	NOUN
ejpam-5640	38	46	.	.	PUNCT
ejpam-5640	39	1	what	what	PRON
ejpam-5640	39	2	is	be	AUX
ejpam-5640	39	3	more	more	ADJ
ejpam-5640	39	4	,	,	PUNCT
ejpam-5640	39	5	the	the	DET
ejpam-5640	39	6	deployed	deploy	VERB
ejpam-5640	39	7	computational	computational	ADJ
ejpam-5640	39	8	method	method	NOUN
ejpam-5640	39	9	is	be	AUX
ejpam-5640	39	10	only	only	ADV
ejpam-5640	39	11	limited	limit	VERB
ejpam-5640	39	12	to	to	ADP
ejpam-5640	39	13	the	the	DET
ejpam-5640	39	14	class	class	NOUN
ejpam-5640	39	15	of	of	ADP
ejpam-5640	39	16	complex	complex	NOUN
ejpam-5640	39	17	-	-	PUNCT
ejpam-5640	39	18	valued	value	VERB
ejpam-5640	39	19	evolution	evolution	NOUN
ejpam-5640	39	20	equations	equation	NOUN
ejpam-5640	39	21	,	,	PUNCT
ejpam-5640	39	22	being	be	AUX
ejpam-5640	39	23	endowed	endow	VERB
ejpam-5640	39	24	with	with	ADP
ejpam-5640	39	25	the	the	DET
ejpam-5640	39	26	imaginary	imaginary	ADJ
ejpam-5640	39	27	number(s	number(s	NOUN
ejpam-5640	39	28	)	)	PUNCT
ejpam-5640	39	29	,	,	PUNCT
ejpam-5640	39	30	and	and	CCONJ
ejpam-5640	39	31	applicable	applicable	ADJ
ejpam-5640	39	32	to	to	ADP
ejpam-5640	39	33	various	various	ADJ
ejpam-5640	39	34	fields	field	NOUN
ejpam-5640	39	35	of	of	ADP
ejpam-5640	39	36	nonlinear	nonlinear	ADJ
ejpam-5640	39	37	sciences	science	NOUN
ejpam-5640	39	38	.	.	PUNCT
ejpam-5640	40	1	lastly	lastly	ADV
ejpam-5640	40	2	,	,	PUNCT
ejpam-5640	40	3	the	the	DET
ejpam-5640	40	4	manuscript	manuscript	NOUN
ejpam-5640	40	5	is	be	AUX
ejpam-5640	40	6	arranged	arrange	VERB
ejpam-5640	40	7	in	in	ADP
ejpam-5640	40	8	the	the	DET
ejpam-5640	40	9	following	following	ADJ
ejpam-5640	40	10	manner	manner	NOUN
ejpam-5640	40	11	:	:	PUNCT
ejpam-5640	40	12	governing	govern	VERB
ejpam-5640	40	13	model	model	NOUN
ejpam-5640	40	14	is	be	AUX
ejpam-5640	40	15	described	describe	VERB
ejpam-5640	40	16	in	in	ADP
ejpam-5640	40	17	section	section	NOUN
ejpam-5640	40	18	2	2	NUM
ejpam-5640	40	19	;	;	PUNCT
ejpam-5640	40	20	while	while	SCONJ
ejpam-5640	40	21	section	section	NOUN
ejpam-5640	40	22	3	3	NUM
ejpam-5640	40	23	gives	give	VERB
ejpam-5640	40	24	the	the	DET
ejpam-5640	40	25	analysis	analysis	NOUN
ejpam-5640	40	26	of	of	ADP
ejpam-5640	40	27	the	the	DET
ejpam-5640	40	28	model	model	NOUN
ejpam-5640	40	29	via	via	ADP
ejpam-5640	40	30	the	the	DET
ejpam-5640	40	31	iadm	iadm	NOUN
ejpam-5640	40	32	.	.	PUNCT
ejpam-5640	41	1	section	section	NOUN
ejpam-5640	41	2	4	4	NUM
ejpam-5640	41	3	gives	give	VERB
ejpam-5640	41	4	the	the	DET
ejpam-5640	41	5	adopted	adopt	VERB
ejpam-5640	41	6	exact	exact	ADJ
ejpam-5640	41	7	solitonic	solitonic	ADJ
ejpam-5640	41	8	expressions	expression	NOUN
ejpam-5640	41	9	and	and	CCONJ
ejpam-5640	41	10	,	,	PUNCT
ejpam-5640	41	11	section	section	NOUN
ejpam-5640	41	12	5	5	NUM
ejpam-5640	41	13	presents	present	VERB
ejpam-5640	41	14	the	the	DET
ejpam-5640	41	15	numerical	numerical	ADJ
ejpam-5640	41	16	simulation	simulation	NOUN
ejpam-5640	41	17	of	of	ADP
ejpam-5640	41	18	the	the	DET
ejpam-5640	41	19	derived	derive	VERB
ejpam-5640	41	20	cq	cq	ADP
ejpam-5640	41	21	nlse	nlse	ADJ
ejpam-5640	41	22	scheme	scheme	NOUN
ejpam-5640	41	23	using	use	VERB
ejpam-5640	41	24	the	the	DET
ejpam-5640	41	25	adopted	adopt	VERB
ejpam-5640	41	26	improved	improve	VERB
ejpam-5640	41	27	adomian	adomian	NOUN
ejpam-5640	41	28	decomposition	decomposition	NOUN
ejpam-5640	41	29	method	method	NOUN
ejpam-5640	41	30	(	(	PUNCT
ejpam-5640	41	31	iadm	iadm	ADJ
ejpam-5640	41	32	)	)	PUNCT
ejpam-5640	41	33	.	.	PUNCT
ejpam-5640	42	1	finally	finally	ADV
ejpam-5640	42	2	,	,	PUNCT
ejpam-5640	42	3	section	section	NOUN
ejpam-5640	42	4	6	6	NUM
ejpam-5640	42	5	presents	present	VERB
ejpam-5640	42	6	some	some	DET
ejpam-5640	42	7	concluding	conclude	VERB
ejpam-5640	42	8	comments	comment	NOUN
ejpam-5640	42	9	and	and	CCONJ
ejpam-5640	42	10	highlights	highlight	NOUN
ejpam-5640	42	11	some	some	DET
ejpam-5640	42	12	possible	possible	ADJ
ejpam-5640	42	13	future	future	ADJ
ejpam-5640	42	14	studies	study	NOUN
ejpam-5640	42	15	.	.	PUNCT
ejpam-5640	43	1	2	2	X
ejpam-5640	43	2	.	.	X
ejpam-5640	43	3	governing	govern	VERB
ejpam-5640	43	4	model	model	NOUN
ejpam-5640	43	5	the	the	DET
ejpam-5640	43	6	cubic	cubic	ADJ
ejpam-5640	43	7	-	-	PUNCT
ejpam-5640	43	8	quartic	quartic	ADJ
ejpam-5640	43	9	nonlinear	nonlinear	ADJ
ejpam-5640	43	10	schrödinger	schrödinger	NOUN
ejpam-5640	43	11	equation	equation	NOUN
ejpam-5640	43	12	(	(	PUNCT
ejpam-5640	43	13	cq	cq	ADP
ejpam-5640	43	14	nlse	nlse	NOUN
ejpam-5640	43	15	)	)	PUNCT
ejpam-5640	43	16	,	,	PUNCT
ejpam-5640	43	17	which	which	PRON
ejpam-5640	43	18	incorporates	incorporate	VERB
ejpam-5640	43	19	the	the	DET
ejpam-5640	43	20	nonlinear	nonlinear	PROPN
ejpam-5640	43	21	kerr	kerr	PROPN
ejpam-5640	43	22	law	law	PROPN
ejpam-5640	43	23	refractive	refractive	ADJ
ejpam-5640	43	24	index	index	NOUN
ejpam-5640	43	25	governing	govern	VERB
ejpam-5640	43	26	the	the	DET
ejpam-5640	43	27	propagation	propagation	NOUN
ejpam-5640	43	28	of	of	ADP
ejpam-5640	43	29	nonlinear	nonlinear	ADJ
ejpam-5640	43	30	waves	wave	NOUN
ejpam-5640	43	31	in	in	ADP
ejpam-5640	43	32	optical	optical	ADJ
ejpam-5640	43	33	fiber	fiber	NOUN
ejpam-5640	43	34	media	medium	NOUN
ejpam-5640	43	35	,	,	PUNCT
ejpam-5640	43	36	is	be	AUX
ejpam-5640	43	37	expressed	express	VERB
ejpam-5640	43	38	by	by	ADP
ejpam-5640	43	39	the	the	DET
ejpam-5640	43	40	following	follow	VERB
ejpam-5640	43	41	complex	complex	ADV
ejpam-5640	43	42	-	-	PUNCT
ejpam-5640	43	43	valued	value	VERB
ejpam-5640	43	44	nonlinear	nonlinear	ADJ
ejpam-5640	43	45	evolution	evolution	NOUN
ejpam-5640	43	46	equation	equation	NOUN
ejpam-5640	43	47	[	[	X
ejpam-5640	43	48	33	33	NUM
ejpam-5640	43	49	,	,	PUNCT
ejpam-5640	43	50	34	34	NUM
ejpam-5640	43	51	]	]	X
ejpam-5640	43	52	iut	iut	PROPN
ejpam-5640	43	53	+	+	CCONJ
ejpam-5640	43	54	ipuxxx	ipuxxx	NOUN
ejpam-5640	43	55	+	+	CCONJ
ejpam-5640	43	56	quxxxx	quxxxx	NOUN
ejpam-5640	43	57	+	+	CCONJ
ejpam-5640	43	58	r|u|2u	r|u|2u	PROPN
ejpam-5640	43	59	=	=	SYM
ejpam-5640	43	60	0	0	NUM
ejpam-5640	43	61	,	,	PUNCT
ejpam-5640	43	62	(	(	PUNCT
ejpam-5640	43	63	1	1	X
ejpam-5640	43	64	)	)	PUNCT
ejpam-5640	43	65	where	where	SCONJ
ejpam-5640	43	66	u	u	NOUN
ejpam-5640	43	67	=	=	SYM
ejpam-5640	43	68	u(x	u(x	PROPN
ejpam-5640	43	69	,	,	PUNCT
ejpam-5640	43	70	t	t	PROPN
ejpam-5640	43	71	)	)	PUNCT
ejpam-5640	43	72	is	be	AUX
ejpam-5640	43	73	the	the	DET
ejpam-5640	43	74	complex	complex	ADJ
ejpam-5640	43	75	–	–	PUNCT
ejpam-5640	43	76	valued	value	VERB
ejpam-5640	43	77	wave	wave	NOUN
ejpam-5640	43	78	function	function	NOUN
ejpam-5640	43	79	that	that	PRON
ejpam-5640	43	80	governs	govern	VERB
ejpam-5640	43	81	the	the	DET
ejpam-5640	43	82	propagation	propagation	NOUN
ejpam-5640	43	83	of	of	ADP
ejpam-5640	43	84	optical	optical	ADJ
ejpam-5640	43	85	wave	wave	NOUN
ejpam-5640	43	86	in	in	ADP
ejpam-5640	43	87	birefringent	birefringent	NOUN
ejpam-5640	43	88	fibers	fiber	NOUN
ejpam-5640	43	89	in	in	ADP
ejpam-5640	43	90	the	the	DET
ejpam-5640	43	91	spatial	spatial	ADJ
ejpam-5640	43	92	and	and	CCONJ
ejpam-5640	43	93	temporal	temporal	ADJ
ejpam-5640	43	94	variables	variable	NOUN
ejpam-5640	43	95	x	x	PUNCT
ejpam-5640	43	96	and	and	CCONJ
ejpam-5640	43	97	t	t	PROPN
ejpam-5640	43	98	,	,	PUNCT
ejpam-5640	43	99	respectively	respectively	ADV
ejpam-5640	43	100	.	.	PUNCT
ejpam-5640	44	1	in	in	ADP
ejpam-5640	44	2	addition	addition	NOUN
ejpam-5640	44	3	,	,	PUNCT
ejpam-5640	44	4	the	the	DET
ejpam-5640	44	5	real	real	ADJ
ejpam-5640	44	6	constant	constant	ADJ
ejpam-5640	44	7	p	p	NOUN
ejpam-5640	44	8	is	be	AUX
ejpam-5640	44	9	the	the	DET
ejpam-5640	44	10	coefficient	coefficient	NOUN
ejpam-5640	44	11	of	of	ADP
ejpam-5640	44	12	3od	3od	ADJ
ejpam-5640	44	13	,	,	PUNCT
ejpam-5640	44	14	while	while	SCONJ
ejpam-5640	44	15	the	the	DET
ejpam-5640	44	16	real	real	ADJ
ejpam-5640	44	17	constant	constant	ADJ
ejpam-5640	44	18	q	q	NOUN
ejpam-5640	44	19	denotes	denote	VERB
ejpam-5640	44	20	the	the	DET
ejpam-5640	44	21	coefficient	coefficient	NOUN
ejpam-5640	44	22	of	of	ADP
ejpam-5640	44	23	4od	4od	NOUN
ejpam-5640	44	24	.	.	PUNCT
ejpam-5640	45	1	furthermore	furthermore	ADV
ejpam-5640	45	2	,	,	PUNCT
ejpam-5640	45	3	the	the	DET
ejpam-5640	45	4	constant	constant	ADJ
ejpam-5640	45	5	r	r	NOUN
ejpam-5640	45	6	in	in	ADP
ejpam-5640	45	7	the	the	DET
ejpam-5640	45	8	last	last	ADJ
ejpam-5640	45	9	term	term	NOUN
ejpam-5640	45	10	is	be	AUX
ejpam-5640	45	11	coefficient	coefficient	NOUN
ejpam-5640	45	12	of	of	ADP
ejpam-5640	45	13	the	the	DET
ejpam-5640	45	14	kerr	kerr	PROPN
ejpam-5640	45	15	law	law	PROPN
ejpam-5640	45	16	nonlinear	nonlinear	PROPN
ejpam-5640	45	17	refractive	refractive	ADJ
ejpam-5640	45	18	index	index	NOUN
ejpam-5640	45	19	.	.	PUNCT
ejpam-5640	46	1	moreover	moreover	ADV
ejpam-5640	46	2	,	,	PUNCT
ejpam-5640	46	3	when	when	SCONJ
ejpam-5640	46	4	eq	eq	ADP
ejpam-5640	46	5	.	.	PUNCT
ejpam-5640	46	6	(	(	PUNCT
ejpam-5640	46	7	1	1	X
ejpam-5640	46	8	)	)	PUNCT
ejpam-5640	46	9	splits	split	VERB
ejpam-5640	46	10	into	into	ADP
ejpam-5640	46	11	two	two	NUM
ejpam-5640	46	12	directions	direction	NOUN
ejpam-5640	46	13	concerning	concern	VERB
ejpam-5640	46	14	the	the	DET
ejpam-5640	46	15	frame	frame	NOUN
ejpam-5640	46	16	of	of	ADP
ejpam-5640	46	17	birefringence	birefringence	NOUN
ejpam-5640	46	18	to	to	PART
ejpam-5640	46	19	typify	typify	VERB
ejpam-5640	46	20	the	the	DET
ejpam-5640	46	21	nonlocal	nonlocal	ADJ
ejpam-5640	46	22	conduct	conduct	NOUN
ejpam-5640	46	23	in	in	ADP
ejpam-5640	46	24	bfs	bfs	NOUN
ejpam-5640	46	25	,	,	PUNCT
ejpam-5640	46	26	one	one	PRON
ejpam-5640	46	27	thus	thus	ADV
ejpam-5640	46	28	obtains	obtain	VERB
ejpam-5640	46	29	the	the	DET
ejpam-5640	46	30	following	following	NOUN
ejpam-5640	46	31	coupled	couple	VERB
ejpam-5640	46	32	cq	cq	ADP
ejpam-5640	47	1	nlse	nlse	PROPN
ejpam-5640	47	2	iut	iut	PROPN
ejpam-5640	47	3	+	+	CCONJ
ejpam-5640	47	4	ip1uxxx	ip1uxxx	X
ejpam-5640	47	5	+	+	CCONJ
ejpam-5640	47	6	q1uxxxx	q1uxxxx	NOUN
ejpam-5640	47	7	+	+	CCONJ
ejpam-5640	47	8	(	(	PUNCT
ejpam-5640	47	9	r1|u|2	r1|u|2	NOUN
ejpam-5640	47	10	+	+	CCONJ
ejpam-5640	47	11	s1|v|2)u	s1|v|2)u	NOUN
ejpam-5640	47	12	=	=	SYM
ejpam-5640	47	13	0	0	NUM
ejpam-5640	47	14	,	,	PUNCT
ejpam-5640	47	15	(	(	PUNCT
ejpam-5640	47	16	2	2	X
ejpam-5640	47	17	)	)	PUNCT
ejpam-5640	47	18	ivt	ivt	NOUN
ejpam-5640	47	19	+	+	CCONJ
ejpam-5640	47	20	ip2vxxx	ip2vxxx	X
ejpam-5640	47	21	+	+	CCONJ
ejpam-5640	47	22	q2vxxxx	q2vxxxx	NOUN
ejpam-5640	47	23	+	+	CCONJ
ejpam-5640	47	24	(	(	PUNCT
ejpam-5640	47	25	r2|v|2	r2|v|2	PROPN
ejpam-5640	47	26	+	+	CCONJ
ejpam-5640	47	27	s2|u|2)v	s2|u|2)v	PROPN
ejpam-5640	47	28	=	=	SYM
ejpam-5640	47	29	0	0	NUM
ejpam-5640	47	30	,	,	PUNCT
ejpam-5640	47	31	(	(	PUNCT
ejpam-5640	47	32	3	3	X
ejpam-5640	47	33	)	)	PUNCT
ejpam-5640	47	34	where	where	SCONJ
ejpam-5640	47	35	u	u	NOUN
ejpam-5640	47	36	=	=	SYM
ejpam-5640	47	37	u(x	u(x	PROPN
ejpam-5640	47	38	,	,	PUNCT
ejpam-5640	47	39	t	t	PROPN
ejpam-5640	47	40	)	)	PUNCT
ejpam-5640	47	41	,	,	PUNCT
ejpam-5640	47	42	and	and	CCONJ
ejpam-5640	47	43	v	v	X
ejpam-5640	47	44	=	=	SYM
ejpam-5640	47	45	v(x	v(x	PROPN
ejpam-5640	47	46	,	,	PUNCT
ejpam-5640	47	47	t	t	PROPN
ejpam-5640	47	48	)	)	PUNCT
ejpam-5640	47	49	are	be	AUX
ejpam-5640	47	50	the	the	DET
ejpam-5640	47	51	respective	respective	ADJ
ejpam-5640	47	52	complex	complex	ADJ
ejpam-5640	47	53	–	–	PUNCT
ejpam-5640	47	54	valued	value	VERB
ejpam-5640	47	55	wave	wave	NOUN
ejpam-5640	47	56	functions	function	NOUN
ejpam-5640	47	57	in	in	ADP
ejpam-5640	47	58	the	the	DET
ejpam-5640	47	59	spatial	spatial	ADJ
ejpam-5640	47	60	and	and	CCONJ
ejpam-5640	47	61	temporal	temporal	ADJ
ejpam-5640	47	62	variables	variable	NOUN
ejpam-5640	47	63	x	x	PUNCT
ejpam-5640	47	64	and	and	CCONJ
ejpam-5640	47	65	t	t	PROPN
ejpam-5640	47	66	,	,	PUNCT
ejpam-5640	47	67	respectively	respectively	ADV
ejpam-5640	47	68	.	.	PUNCT
ejpam-5640	48	1	the	the	DET
ejpam-5640	48	2	real	real	ADJ
ejpam-5640	48	3	constants	constant	NOUN
ejpam-5640	48	4	p1	p1	NOUN
ejpam-5640	48	5	and	and	CCONJ
ejpam-5640	48	6	p2	p2	PROPN
ejpam-5640	48	7	are	be	AUX
ejpam-5640	48	8	the	the	DET
ejpam-5640	48	9	respective	respective	ADJ
ejpam-5640	48	10	coefficients	coefficient	NOUN
ejpam-5640	48	11	of	of	ADP
ejpam-5640	48	12	3od	3od	ADJ
ejpam-5640	48	13	,	,	PUNCT
ejpam-5640	48	14	while	while	SCONJ
ejpam-5640	48	15	the	the	DET
ejpam-5640	48	16	real	real	ADJ
ejpam-5640	48	17	constant	constant	ADJ
ejpam-5640	48	18	q1	q1	PROPN
ejpam-5640	48	19	and	and	CCONJ
ejpam-5640	48	20	q2	q2	NOUN
ejpam-5640	48	21	denote	denote	VERB
ejpam-5640	48	22	the	the	DET
ejpam-5640	48	23	respective	respective	ADJ
ejpam-5640	48	24	coefficients	coefficient	NOUN
ejpam-5640	48	25	of	of	ADP
ejpam-5640	48	26	4od	4od	NOUN
ejpam-5640	48	27	.	.	PUNCT
ejpam-5640	49	1	in	in	ADP
ejpam-5640	49	2	addition	addition	NOUN
ejpam-5640	49	3	,	,	PUNCT
ejpam-5640	49	4	rj	rj	PROPN
ejpam-5640	49	5	and	and	CCONJ
ejpam-5640	49	6	sj	sj	INTJ
ejpam-5640	49	7	,	,	PUNCT
ejpam-5640	49	8	for	for	ADP
ejpam-5640	49	9	j	j	PROPN
ejpam-5640	49	10	=	=	SYM
ejpam-5640	49	11	1	1	NUM
ejpam-5640	49	12	,	,	PUNCT
ejpam-5640	49	13	2	2	NUM
ejpam-5640	49	14	represent	represent	VERB
ejpam-5640	49	15	the	the	DET
ejpam-5640	49	16	respective	respective	ADJ
ejpam-5640	49	17	coefficients	coefficient	NOUN
ejpam-5640	49	18	of	of	ADP
ejpam-5640	49	19	cross	cross	ADJ
ejpam-5640	49	20	-	-	NOUN
ejpam-5640	49	21	phase	phase	NOUN
ejpam-5640	49	22	(	(	PUNCT
ejpam-5640	49	23	self	self	NOUN
ejpam-5640	49	24	-	-	PUNCT
ejpam-5640	49	25	phase	phase	NOUN
ejpam-5640	49	26	)	)	PUNCT
ejpam-5640	49	27	modulation	modulation	NOUN
ejpam-5640	49	28	,	,	PUNCT
ejpam-5640	49	29	while	while	SCONJ
ejpam-5640	49	30	discarding	discard	VERB
ejpam-5640	49	31	the	the	DET
ejpam-5640	49	32	cause	cause	NOUN
ejpam-5640	49	33	of	of	ADP
ejpam-5640	49	34	four	four	NUM
ejpam-5640	49	35	–	–	PUNCT
ejpam-5640	49	36	wave	wave	NOUN
ejpam-5640	49	37	mixing	mixing	NOUN
ejpam-5640	49	38	.	.	PUNCT
ejpam-5640	50	1	furthermore	furthermore	ADV
ejpam-5640	50	2	,	,	PUNCT
ejpam-5640	50	3	it	it	PRON
ejpam-5640	50	4	is	be	AUX
ejpam-5640	50	5	customary	customary	ADJ
ejpam-5640	50	6	to	to	PART
ejpam-5640	50	7	convert	convert	VERB
ejpam-5640	50	8	the	the	DET
ejpam-5640	50	9	outlined	outline	VERB
ejpam-5640	50	10	coupled	couple	VERB
ejpam-5640	50	11	cq	cq	ADP
ejpam-5640	50	12	nlse	nlse	PROPN
ejpam-5640	50	13	in	in	ADP
ejpam-5640	50	14	eqs	eqs	PROPN
ejpam-5640	50	15	.	.	PUNCT
ejpam-5640	51	1	(	(	PUNCT
ejpam-5640	51	2	2)(3	2)(3	NUM
ejpam-5640	51	3	)	)	PUNCT
ejpam-5640	51	4	to	to	ADP
ejpam-5640	51	5	more	more	ADV
ejpam-5640	51	6	suitable	suitable	ADJ
ejpam-5640	51	7	forms	form	NOUN
ejpam-5640	51	8	,	,	PUNCT
ejpam-5640	51	9	through	through	ADP
ejpam-5640	51	10	the	the	DET
ejpam-5640	51	11	utilization	utilization	NOUN
ejpam-5640	51	12	of	of	ADP
ejpam-5640	51	13	related	related	ADJ
ejpam-5640	51	14	wave	wave	NOUN
ejpam-5640	51	15	transformation	transformation	NOUN
ejpam-5640	51	16	to	to	PART
ejpam-5640	51	17	get	get	VERB
ejpam-5640	51	18	hold	hold	NOUN
ejpam-5640	51	19	of	of	ADP
ejpam-5640	51	20	the	the	DET
ejpam-5640	51	21	resulting	result	VERB
ejpam-5640	51	22	ordinary	ordinary	ADJ
ejpam-5640	51	23	differential	differential	ADJ
ejpam-5640	51	24	equations	equation	NOUN
ejpam-5640	51	25	(	(	PUNCT
ejpam-5640	51	26	odes	ode	VERB
ejpam-5640	51	27	)	)	PUNCT
ejpam-5640	52	1	[	[	X
ejpam-5640	52	2	27	27	NUM
ejpam-5640	52	3	]	]	PUNCT
ejpam-5640	52	4	.	.	PUNCT
ejpam-5640	53	1	to	to	PART
ejpam-5640	53	2	do	do	VERB
ejpam-5640	53	3	so	so	ADV
ejpam-5640	53	4	,	,	PUNCT
ejpam-5640	53	5	the	the	DET
ejpam-5640	53	6	following	follow	VERB
ejpam-5640	53	7	transformation	transformation	NOUN
ejpam-5640	53	8	is	be	AUX
ejpam-5640	53	9	u(x	u(x	NOUN
ejpam-5640	53	10	,	,	PUNCT
ejpam-5640	53	11	t	t	NOUN
ejpam-5640	53	12	)	)	PUNCT
ejpam-5640	54	1	=	=	PUNCT
ejpam-5640	54	2	y1(ξj)e	y1(ξj)e	PROPN
ejpam-5640	54	3	iθj(x	iθj(x	PROPN
ejpam-5640	54	4	,	,	PUNCT
ejpam-5640	54	5	t	t	PROPN
ejpam-5640	54	6	)	)	PUNCT
ejpam-5640	54	7	,	,	PUNCT
ejpam-5640	54	8	(	(	PUNCT
ejpam-5640	54	9	4	4	X
ejpam-5640	54	10	)	)	PUNCT
ejpam-5640	54	11	a.	a.	NOUN
ejpam-5640	54	12	m.	m.	NOUN
ejpam-5640	54	13	almalki	almalki	ADP
ejpam-5640	54	14	et	et	PROPN
ejpam-5640	54	15	al	al	PROPN
ejpam-5640	54	16	.	.	PUNCT
ejpam-5640	54	17	/	/	SYM
ejpam-5640	54	18	eur	eur	PROPN
ejpam-5640	54	19	.	.	PUNCT
ejpam-5640	55	1	j.	j.	PROPN
ejpam-5640	55	2	pure	pure	PROPN
ejpam-5640	55	3	appl	appl	PROPN
ejpam-5640	55	4	.	.	PROPN
ejpam-5640	55	5	math	math	PROPN
ejpam-5640	55	6	,	,	PUNCT
ejpam-5640	55	7	18	18	NUM
ejpam-5640	55	8	(	(	PUNCT
ejpam-5640	55	9	1	1	NUM
ejpam-5640	55	10	)	)	PUNCT
ejpam-5640	55	11	(	(	PUNCT
ejpam-5640	55	12	2025	2025	NUM
ejpam-5640	55	13	)	)	PUNCT
ejpam-5640	55	14	,	,	PUNCT
ejpam-5640	55	15	5640	5640	NUM
ejpam-5640	55	16	4	4	NUM
ejpam-5640	55	17	of	of	ADP
ejpam-5640	55	18	16	16	NUM
ejpam-5640	55	19	v(x	v(x	PROPN
ejpam-5640	55	20	,	,	PUNCT
ejpam-5640	55	21	t	t	PROPN
ejpam-5640	55	22	)	)	PUNCT
ejpam-5640	55	23	=	=	SYM
ejpam-5640	56	1	y2(ξj)e	y2(ξj)e	PROPN
ejpam-5640	56	2	iθj(x	iθj(x	PROPN
ejpam-5640	56	3	,	,	PUNCT
ejpam-5640	56	4	t	t	PROPN
ejpam-5640	56	5	)	)	PUNCT
ejpam-5640	56	6	,	,	PUNCT
ejpam-5640	56	7	(	(	PUNCT
ejpam-5640	56	8	5	5	X
ejpam-5640	56	9	)	)	PUNCT
ejpam-5640	56	10	is	be	AUX
ejpam-5640	56	11	sought	seek	VERB
ejpam-5640	56	12	,	,	PUNCT
ejpam-5640	56	13	where	where	SCONJ
ejpam-5640	56	14	j	j	PROPN
ejpam-5640	56	15	=	=	PRON
ejpam-5640	56	16	{	{	PUNCT
ejpam-5640	56	17	b	b	PROPN
ejpam-5640	56	18	,	,	PUNCT
ejpam-5640	56	19	l	l	NOUN
ejpam-5640	56	20	}	}	PUNCT
ejpam-5640	56	21	.	.	PUNCT
ejpam-5640	57	1	certainly	certainly	ADV
ejpam-5640	57	2	,	,	PUNCT
ejpam-5640	57	3	the	the	DET
ejpam-5640	57	4	functions	function	NOUN
ejpam-5640	57	5	y1(ξj	y1(ξj	NUM
ejpam-5640	57	6	)	)	PUNCT
ejpam-5640	57	7	,	,	PUNCT
ejpam-5640	57	8	and	and	CCONJ
ejpam-5640	57	9	y2(ξj	y2(ξj	PROPN
ejpam-5640	57	10	)	)	PUNCT
ejpam-5640	57	11	are	be	AUX
ejpam-5640	57	12	real	real	ADV
ejpam-5640	57	13	-	-	PUNCT
ejpam-5640	57	14	valued	value	VERB
ejpam-5640	57	15	,	,	PUNCT
ejpam-5640	57	16	while	while	SCONJ
ejpam-5640	57	17	θj(x	θj(x	NOUN
ejpam-5640	57	18	,	,	PUNCT
ejpam-5640	57	19	t	t	PROPN
ejpam-5640	57	20	)	)	PUNCT
ejpam-5640	57	21	for	for	ADP
ejpam-5640	57	22	j	j	PROPN
ejpam-5640	57	23	=	=	PUNCT
ejpam-5640	57	24	{	{	PUNCT
ejpam-5640	57	25	b	b	PROPN
ejpam-5640	57	26	,	,	PUNCT
ejpam-5640	57	27	l	l	NOUN
ejpam-5640	57	28	}	}	PUNCT
ejpam-5640	57	29	denotes	denote	VERB
ejpam-5640	57	30	the	the	DET
ejpam-5640	57	31	amplitude	amplitude	NOUN
ejpam-5640	57	32	and	and	CCONJ
ejpam-5640	57	33	phase	phase	NOUN
ejpam-5640	57	34	parts	part	NOUN
ejpam-5640	57	35	of	of	ADP
ejpam-5640	57	36	the	the	DET
ejpam-5640	57	37	propagating	propagate	VERB
ejpam-5640	57	38	pulse	pulse	NOUN
ejpam-5640	57	39	wave	wave	NOUN
ejpam-5640	57	40	,	,	PUNCT
ejpam-5640	57	41	respectively	respectively	ADV
ejpam-5640	57	42	.	.	PUNCT
ejpam-5640	58	1	more	more	ADV
ejpam-5640	58	2	explicitly	explicitly	ADV
ejpam-5640	58	3	,	,	PUNCT
ejpam-5640	58	4	the	the	DET
ejpam-5640	58	5	new	new	ADJ
ejpam-5640	58	6	variables	variable	NOUN
ejpam-5640	58	7	ξb	ξb	PROPN
ejpam-5640	58	8	and	and	CCONJ
ejpam-5640	58	9	θb	θb	PROPN
ejpam-5640	58	10	are	be	AUX
ejpam-5640	58	11	expressed	express	VERB
ejpam-5640	58	12	as	as	SCONJ
ejpam-5640	58	13	follows	follow	VERB
ejpam-5640	58	14	ξb	ξb	PROPN
ejpam-5640	58	15	=	=	SYM
ejpam-5640	58	16	1	1	NUM
ejpam-5640	58	17	µ	µ	X
ejpam-5640	58	18	(	(	PUNCT
ejpam-5640	58	19	x+	x+	PROPN
ejpam-5640	58	20	1	1	NUM
ejpam-5640	58	21	γµ	γµ	CCONJ
ejpam-5640	58	22	)	)	PUNCT
ejpam-5640	58	23	µ	µ	NOUN
ejpam-5640	58	24	−	−	PROPN
ejpam-5640	58	25	v	v	NOUN
ejpam-5640	58	26	µ	µ	X
ejpam-5640	58	27	(	(	PUNCT
ejpam-5640	58	28	t+	t+	NOUN
ejpam-5640	58	29	1	1	NUM
ejpam-5640	58	30	γµ	γµ	CCONJ
ejpam-5640	58	31	)	)	PUNCT
ejpam-5640	58	32	µ	µ	X
ejpam-5640	58	33	,	,	PUNCT
ejpam-5640	58	34	(	(	PUNCT
ejpam-5640	58	35	6	6	NUM
ejpam-5640	58	36	)	)	PUNCT
ejpam-5640	58	37	θb	θb	NOUN
ejpam-5640	58	38	=	=	SYM
ejpam-5640	58	39	−k	−k	PROPN
ejpam-5640	58	40	µ	µ	X
ejpam-5640	58	41	(	(	PUNCT
ejpam-5640	58	42	x+	x+	X
ejpam-5640	58	43	1	1	NUM
ejpam-5640	58	44	γµ	γµ	CCONJ
ejpam-5640	58	45	)	)	PUNCT
ejpam-5640	58	46	µ	µ	X
ejpam-5640	59	1	+	+	X
ejpam-5640	59	2	ω	ω	NUM
ejpam-5640	59	3	µ	µ	X
ejpam-5640	59	4	(	(	PUNCT
ejpam-5640	59	5	t+	t+	NOUN
ejpam-5640	59	6	1	1	NUM
ejpam-5640	59	7	γµ	γµ	CCONJ
ejpam-5640	59	8	)	)	PUNCT
ejpam-5640	59	9	µ	µ	X
ejpam-5640	59	10	+	+	X
ejpam-5640	59	11	θ0	θ0	NOUN
ejpam-5640	59	12	,	,	PUNCT
ejpam-5640	59	13	(	(	PUNCT
ejpam-5640	59	14	7	7	X
ejpam-5640	59	15	)	)	PUNCT
ejpam-5640	59	16	while	while	SCONJ
ejpam-5640	59	17	the	the	DET
ejpam-5640	59	18	corresponding	correspond	VERB
ejpam-5640	59	19	ξl	ξl	NOUN
ejpam-5640	59	20	and	and	CCONJ
ejpam-5640	59	21	θl	θl	PROPN
ejpam-5640	59	22	variables	variable	NOUN
ejpam-5640	59	23	are	be	AUX
ejpam-5640	59	24	defined	define	VERB
ejpam-5640	59	25	as	as	SCONJ
ejpam-5640	59	26	follows	follow	VERB
ejpam-5640	59	27	ξl	ξl	NOUN
ejpam-5640	59	28	=	=	SYM
ejpam-5640	59	29	1	1	NUM
ejpam-5640	59	30	µ	µ	X
ejpam-5640	59	31	xµ	xµ	ADP
ejpam-5640	59	32	−	−	PROPN
ejpam-5640	59	33	v	v	PROPN
ejpam-5640	59	34	µ	µ	PRON
ejpam-5640	59	35	tµ	tµ	NOUN
ejpam-5640	59	36	,	,	PUNCT
ejpam-5640	59	37	(	(	PUNCT
ejpam-5640	59	38	8)	8)	NUM
ejpam-5640	59	39	θl	θl	ADP
ejpam-5640	59	40	=	=	PUNCT
ejpam-5640	59	41	−k	−k	PROPN
ejpam-5640	59	42	µ	µ	X
ejpam-5640	59	43	xµ	xµ	X
ejpam-5640	60	1	+	+	X
ejpam-5640	60	2	ω	ω	NUM
ejpam-5640	60	3	µ	µ	PRON
ejpam-5640	60	4	tµ	tµ	NOUN
ejpam-5640	60	5	+	+	CCONJ
ejpam-5640	60	6	θ0	θ0	NOUN
ejpam-5640	60	7	.	.	PUNCT
ejpam-5640	61	1	(	(	PUNCT
ejpam-5640	61	2	9	9	NUM
ejpam-5640	61	3	)	)	PUNCT
ejpam-5640	61	4	in	in	ADP
ejpam-5640	61	5	addition	addition	NOUN
ejpam-5640	61	6	,	,	PUNCT
ejpam-5640	61	7	the	the	DET
ejpam-5640	61	8	involving	involve	VERB
ejpam-5640	61	9	wave	wave	NOUN
ejpam-5640	61	10	parameters	parameter	NOUN
ejpam-5640	61	11	ν	ν	ADP
ejpam-5640	61	12	,	,	PUNCT
ejpam-5640	61	13	κ	κ	PROPN
ejpam-5640	61	14	,	,	PUNCT
ejpam-5640	61	15	ω	ω	NOUN
ejpam-5640	61	16	,	,	PUNCT
ejpam-5640	61	17	and	and	CCONJ
ejpam-5640	61	18	θ0	θ0	NOUN
ejpam-5640	61	19	that	that	PRON
ejpam-5640	61	20	appear	appear	VERB
ejpam-5640	61	21	in	in	ADP
ejpam-5640	61	22	the	the	DET
ejpam-5640	61	23	above	above	ADJ
ejpam-5640	61	24	expressions	expression	NOUN
ejpam-5640	61	25	denote	denote	VERB
ejpam-5640	61	26	the	the	DET
ejpam-5640	61	27	speed	speed	NOUN
ejpam-5640	61	28	,	,	PUNCT
ejpam-5640	61	29	frequency	frequency	NOUN
ejpam-5640	61	30	,	,	PUNCT
ejpam-5640	61	31	wavenumber	wavenumber	NOUN
ejpam-5640	61	32	,	,	PUNCT
ejpam-5640	61	33	and	and	CCONJ
ejpam-5640	61	34	phase	phase	NOUN
ejpam-5640	61	35	constant	constant	ADJ
ejpam-5640	61	36	,	,	PUNCT
ejpam-5640	61	37	sequentially	sequentially	ADV
ejpam-5640	61	38	.	.	PUNCT
ejpam-5640	62	1	moreover	moreover	ADV
ejpam-5640	62	2	,	,	PUNCT
ejpam-5640	62	3	upon	upon	SCONJ
ejpam-5640	62	4	judiciously	judiciously	ADV
ejpam-5640	62	5	substituting	substitute	VERB
ejpam-5640	62	6	either	either	CCONJ
ejpam-5640	62	7	eqs	eqs	PROPN
ejpam-5640	62	8	.	.	PUNCT
ejpam-5640	63	1	(	(	PUNCT
ejpam-5640	63	2	6)-(7	6)-(7	NOUN
ejpam-5640	63	3	)	)	PUNCT
ejpam-5640	63	4	or	or	CCONJ
ejpam-5640	63	5	eqs	eqs	X
ejpam-5640	63	6	.	.	PUNCT
ejpam-5640	63	7	(	(	PUNCT
ejpam-5640	63	8	8)-(9	8)-(9	NUM
ejpam-5640	63	9	)	)	PUNCT
ejpam-5640	63	10	into	into	ADP
ejpam-5640	63	11	the	the	DET
ejpam-5640	63	12	governing	governing	NOUN
ejpam-5640	63	13	coupled	couple	VERB
ejpam-5640	63	14	cq	cq	ADP
ejpam-5640	63	15	nlse	nlse	PROPN
ejpam-5640	63	16	,	,	PUNCT
ejpam-5640	63	17	earlier	early	ADV
ejpam-5640	63	18	expressed	express	VERB
ejpam-5640	63	19	in	in	ADP
ejpam-5640	63	20	eqs	eqs	PROPN
ejpam-5640	63	21	.	.	PUNCT
ejpam-5640	64	1	(	(	PUNCT
ejpam-5640	64	2	2)-(3	2)-(3	NOUN
ejpam-5640	64	3	)	)	PUNCT
ejpam-5640	64	4	,	,	PUNCT
ejpam-5640	64	5	one	one	PRON
ejpam-5640	64	6	obtains	obtain	VERB
ejpam-5640	64	7	the	the	DET
ejpam-5640	64	8	resulting	result	VERB
ejpam-5640	64	9	odes	ode	NOUN
ejpam-5640	64	10	;	;	PUNCT
ejpam-5640	64	11	these	these	DET
ejpam-5640	64	12	odes	ode	NOUN
ejpam-5640	64	13	are	be	AUX
ejpam-5640	64	14	not	not	PART
ejpam-5640	64	15	reported	report	VERB
ejpam-5640	64	16	here	here	ADV
ejpam-5640	64	17	for	for	ADP
ejpam-5640	64	18	brevity	brevity	NOUN
ejpam-5640	64	19	.	.	PUNCT
ejpam-5640	65	1	3	3	X
ejpam-5640	65	2	.	.	X
ejpam-5640	65	3	description	description	NOUN
ejpam-5640	65	4	of	of	ADP
ejpam-5640	65	5	the	the	DET
ejpam-5640	65	6	iadm	iadm	NOUN
ejpam-5640	65	7	this	this	DET
ejpam-5640	65	8	section	section	NOUN
ejpam-5640	65	9	employs	employ	VERB
ejpam-5640	65	10	the	the	DET
ejpam-5640	65	11	iadm	iadm	NOUN
ejpam-5640	65	12	to	to	PART
ejpam-5640	65	13	derive	derive	VERB
ejpam-5640	65	14	the	the	DET
ejpam-5640	65	15	resultant	resultant	NOUN
ejpam-5640	65	16	generalized	generalize	VERB
ejpam-5640	65	17	iterative	iterative	NOUN
ejpam-5640	65	18	scheme	scheme	NOUN
ejpam-5640	65	19	for	for	ADP
ejpam-5640	65	20	the	the	DET
ejpam-5640	65	21	coupled	couple	VERB
ejpam-5640	65	22	cq	cq	ADP
ejpam-5640	65	23	nlse	nlse	PROPN
ejpam-5640	65	24	(	(	PUNCT
ejpam-5640	65	25	eqs	eqs	X
ejpam-5640	65	26	.	.	PROPN
ejpam-5640	66	1	(	(	PUNCT
ejpam-5640	66	2	2)-(3	2)-(3	NUM
ejpam-5640	66	3	)	)	PUNCT
ejpam-5640	66	4	)	)	PUNCT
ejpam-5640	66	5	.	.	PUNCT
ejpam-5640	67	1	the	the	DET
ejpam-5640	67	2	iadm	iadm	NOUN
ejpam-5640	67	3	is	be	AUX
ejpam-5640	67	4	an	an	DET
ejpam-5640	67	5	enhanced	enhanced	ADJ
ejpam-5640	67	6	variant	variant	NOUN
ejpam-5640	67	7	of	of	ADP
ejpam-5640	67	8	the	the	DET
ejpam-5640	67	9	classical	classical	ADJ
ejpam-5640	67	10	adomian	adomian	NOUN
ejpam-5640	67	11	decomposition	decomposition	NOUN
ejpam-5640	67	12	method	method	NOUN
ejpam-5640	67	13	,	,	PUNCT
ejpam-5640	67	14	successfully	successfully	ADV
ejpam-5640	67	15	applied	apply	VERB
ejpam-5640	67	16	to	to	ADP
ejpam-5640	67	17	various	various	ADJ
ejpam-5640	67	18	mathematical	mathematical	ADJ
ejpam-5640	67	19	physics	physics	NOUN
ejpam-5640	67	20	models	model	NOUN
ejpam-5640	67	21	.	.	PUNCT
ejpam-5640	68	1	this	this	DET
ejpam-5640	68	2	method	method	NOUN
ejpam-5640	68	3	is	be	AUX
ejpam-5640	68	4	characterized	characterize	VERB
ejpam-5640	68	5	by	by	ADP
ejpam-5640	68	6	high	high	ADJ
ejpam-5640	68	7	convergence	convergence	NOUN
ejpam-5640	68	8	and	and	CCONJ
ejpam-5640	68	9	requires	require	VERB
ejpam-5640	68	10	less	less	ADJ
ejpam-5640	68	11	computational	computational	ADJ
ejpam-5640	68	12	space	space	NOUN
ejpam-5640	68	13	and	and	CCONJ
ejpam-5640	68	14	time	time	NOUN
ejpam-5640	68	15	,	,	PUNCT
ejpam-5640	68	16	among	among	ADP
ejpam-5640	68	17	other	other	ADJ
ejpam-5640	68	18	advantages	advantage	NOUN
ejpam-5640	68	19	.	.	PUNCT
ejpam-5640	69	1	furthermore	furthermore	ADV
ejpam-5640	69	2	,	,	PUNCT
ejpam-5640	69	3	it	it	PRON
ejpam-5640	69	4	is	be	AUX
ejpam-5640	69	5	widely	widely	ADV
ejpam-5640	69	6	used	use	VERB
ejpam-5640	69	7	to	to	PART
ejpam-5640	69	8	solve	solve	VERB
ejpam-5640	69	9	a	a	DET
ejpam-5640	69	10	range	range	NOUN
ejpam-5640	69	11	of	of	ADP
ejpam-5640	69	12	problems	problem	NOUN
ejpam-5640	69	13	in	in	ADP
ejpam-5640	69	14	technology	technology	NOUN
ejpam-5640	69	15	and	and	CCONJ
ejpam-5640	69	16	science	science	NOUN
ejpam-5640	69	17	,	,	PUNCT
ejpam-5640	69	18	including	include	VERB
ejpam-5640	69	19	contemporary	contemporary	ADJ
ejpam-5640	69	20	fields	field	NOUN
ejpam-5640	69	21	such	such	ADJ
ejpam-5640	69	22	as	as	ADP
ejpam-5640	69	23	fluid	fluid	ADJ
ejpam-5640	69	24	and	and	CCONJ
ejpam-5640	69	25	solid	solid	ADJ
ejpam-5640	69	26	mechanics	mechanic	NOUN
ejpam-5640	69	27	,	,	PUNCT
ejpam-5640	69	28	elastodynamics	elastodynamic	NOUN
ejpam-5640	69	29	,	,	PUNCT
ejpam-5640	69	30	optics	optic	NOUN
ejpam-5640	69	31	,	,	PUNCT
ejpam-5640	69	32	material	material	NOUN
ejpam-5640	69	33	science	science	NOUN
ejpam-5640	69	34	,	,	PUNCT
ejpam-5640	69	35	and	and	CCONJ
ejpam-5640	69	36	astrophysics	astrophysic	NOUN
ejpam-5640	69	37	,	,	PUNCT
ejpam-5640	69	38	to	to	PART
ejpam-5640	69	39	name	name	VERB
ejpam-5640	69	40	a	a	DET
ejpam-5640	69	41	few	few	ADJ
ejpam-5640	69	42	[	[	X
ejpam-5640	69	43	2	2	NUM
ejpam-5640	69	44	,	,	PUNCT
ejpam-5640	69	45	12	12	NUM
ejpam-5640	69	46	,	,	PUNCT
ejpam-5640	69	47	15	15	NUM
ejpam-5640	69	48	,	,	PUNCT
ejpam-5640	69	49	25	25	NUM
ejpam-5640	69	50	]	]	PUNCT
ejpam-5640	69	51	.	.	PUNCT
ejpam-5640	70	1	in	in	ADP
ejpam-5640	70	2	this	this	DET
ejpam-5640	70	3	regard	regard	NOUN
ejpam-5640	70	4	,	,	PUNCT
ejpam-5640	70	5	we	we	PRON
ejpam-5640	70	6	begin	begin	VERB
ejpam-5640	70	7	the	the	DET
ejpam-5640	70	8	implementation	implementation	NOUN
ejpam-5640	70	9	of	of	ADP
ejpam-5640	70	10	the	the	DET
ejpam-5640	70	11	adopted	adopt	VERB
ejpam-5640	70	12	iadm	iadm	NOUN
ejpam-5640	70	13	on	on	ADP
ejpam-5640	70	14	eqs	eqs	PROPN
ejpam-5640	70	15	.	.	PUNCT
ejpam-5640	71	1	(	(	PUNCT
ejpam-5640	71	2	2)-(3	2)-(3	NUM
ejpam-5640	71	3	)	)	PUNCT
ejpam-5640	71	4	by	by	ADP
ejpam-5640	71	5	splitting	split	VERB
ejpam-5640	71	6	the	the	DET
ejpam-5640	71	7	resulting	result	VERB
ejpam-5640	71	8	complex	complex	ADV
ejpam-5640	71	9	-	-	PUNCT
ejpam-5640	71	10	valued	value	VERB
ejpam-5640	71	11	wave	wave	NOUN
ejpam-5640	71	12	functions	function	NOUN
ejpam-5640	71	13	u(x	u(x	NOUN
ejpam-5640	71	14	,	,	PUNCT
ejpam-5640	71	15	t	t	PROPN
ejpam-5640	71	16	)	)	PUNCT
ejpam-5640	71	17	and	and	CCONJ
ejpam-5640	71	18	v(x	v(x	PROPN
ejpam-5640	71	19	,	,	PUNCT
ejpam-5640	71	20	t	t	PROPN
ejpam-5640	71	21	)	)	PUNCT
ejpam-5640	71	22	as	as	SCONJ
ejpam-5640	71	23	follows	follow	VERB
ejpam-5640	71	24	u	u	NOUN
ejpam-5640	71	25	(	(	PUNCT
ejpam-5640	71	26	x	x	PROPN
ejpam-5640	71	27	,	,	PUNCT
ejpam-5640	71	28	t	t	PROPN
ejpam-5640	71	29	)	)	PUNCT
ejpam-5640	71	30	=	=	SYM
ejpam-5640	71	31	u1	u1	NOUN
ejpam-5640	71	32	+	+	CCONJ
ejpam-5640	71	33	iu2	iu2	NOUN
ejpam-5640	71	34	,	,	PUNCT
ejpam-5640	71	35	and	and	CCONJ
ejpam-5640	71	36	v	v	NOUN
ejpam-5640	71	37	(	(	PUNCT
ejpam-5640	71	38	x	x	NOUN
ejpam-5640	71	39	,	,	PUNCT
ejpam-5640	71	40	t	t	PROPN
ejpam-5640	71	41	)	)	PUNCT
ejpam-5640	72	1	=	=	SYM
ejpam-5640	72	2	v1	v1	PROPN
ejpam-5640	72	3	+	+	CCONJ
ejpam-5640	72	4	iv2	iv2	NOUN
ejpam-5640	72	5	,	,	PUNCT
ejpam-5640	72	6	where	where	SCONJ
ejpam-5640	72	7	i	i	PRON
ejpam-5640	72	8	=	=	VERB
ejpam-5640	72	9	√	√	NUM
ejpam-5640	72	10	−1	−1	NOUN
ejpam-5640	72	11	,	,	PUNCT
ejpam-5640	72	12	and	and	CCONJ
ejpam-5640	72	13	u1	u1	NOUN
ejpam-5640	72	14	=	=	SYM
ejpam-5640	72	15	u1	u1	NOUN
ejpam-5640	72	16	(	(	PUNCT
ejpam-5640	72	17	x	x	NOUN
ejpam-5640	72	18	,	,	PUNCT
ejpam-5640	72	19	t	t	PROPN
ejpam-5640	72	20	)	)	PUNCT
ejpam-5640	72	21	,	,	PUNCT
ejpam-5640	72	22	u2	u2	PROPN
ejpam-5640	72	23	=	=	PROPN
ejpam-5640	72	24	u2	u2	PROPN
ejpam-5640	72	25	(	(	PUNCT
ejpam-5640	72	26	x	x	PROPN
ejpam-5640	72	27	,	,	PUNCT
ejpam-5640	72	28	t	t	PROPN
ejpam-5640	72	29	)	)	PUNCT
ejpam-5640	72	30	and	and	CCONJ
ejpam-5640	72	31	v1	v1	NOUN
ejpam-5640	72	32	=	=	SYM
ejpam-5640	72	33	v1	v1	NOUN
ejpam-5640	72	34	(	(	PUNCT
ejpam-5640	72	35	x	x	NOUN
ejpam-5640	72	36	,	,	PUNCT
ejpam-5640	72	37	t	t	PROPN
ejpam-5640	72	38	)	)	PUNCT
ejpam-5640	72	39	,	,	PUNCT
ejpam-5640	72	40	v2	v2	PROPN
ejpam-5640	72	41	=	=	SYM
ejpam-5640	72	42	v2	v2	PROPN
ejpam-5640	72	43	(	(	PUNCT
ejpam-5640	72	44	x	x	NOUN
ejpam-5640	72	45	,	,	PUNCT
ejpam-5640	72	46	t	t	PROPN
ejpam-5640	72	47	)	)	PUNCT
ejpam-5640	72	48	are	be	AUX
ejpam-5640	72	49	real	real	ADV
ejpam-5640	72	50	-	-	PUNCT
ejpam-5640	72	51	valued	value	VERB
ejpam-5640	72	52	functions	function	NOUN
ejpam-5640	72	53	.	.	PUNCT
ejpam-5640	73	1	therefore	therefore	ADV
ejpam-5640	73	2	,	,	PUNCT
ejpam-5640	73	3	with	with	ADP
ejpam-5640	73	4	the	the	DET
ejpam-5640	73	5	above	above	ADJ
ejpam-5640	73	6	split	split	NOUN
ejpam-5640	73	7	-	-	PUNCT
ejpam-5640	73	8	functions	function	NOUN
ejpam-5640	73	9	assumption	assumption	NOUN
ejpam-5640	73	10	,	,	PUNCT
ejpam-5640	73	11	one	one	NUM
ejpam-5640	73	12	obtains	obtain	VERB
ejpam-5640	73	13	from	from	ADP
ejpam-5640	73	14	eqs	eqs	PROPN
ejpam-5640	73	15	.	.	PUNCT
ejpam-5640	74	1	(	(	PUNCT
ejpam-5640	74	2	2)-(3	2)-(3	NUM
ejpam-5640	74	3	)	)	PUNCT
ejpam-5640	74	4	the	the	DET
ejpam-5640	74	5	following	follow	VERB
ejpam-5640	74	6	real	real	ADV
ejpam-5640	74	7	-	-	PUNCT
ejpam-5640	74	8	valued	value	VERB
ejpam-5640	74	9	evolution	evolution	NOUN
ejpam-5640	74	10	equations	equation	NOUN
ejpam-5640	74	11	(	(	PUNCT
ejpam-5640	74	12	obtained	obtain	VERB
ejpam-5640	74	13	from	from	ADP
ejpam-5640	74	14	the	the	DET
ejpam-5640	74	15	corresponding	correspond	VERB
ejpam-5640	74	16	real	real	ADJ
ejpam-5640	74	17	and	and	CCONJ
ejpam-5640	74	18	imaginary	imaginary	ADJ
ejpam-5640	74	19	parts	part	NOUN
ejpam-5640	74	20	)	)	PUNCT
ejpam-5640	74	21	as	as	ADP
ejpam-5640	74	22	in	in	ADP
ejpam-5640	74	23	what	what	PRON
ejpam-5640	74	24	follows	follow	VERB
ejpam-5640	74	25	.	.	PUNCT
ejpam-5640	75	1	for	for	ADP
ejpam-5640	75	2	u	u	PROPN
ejpam-5640	75	3	(	(	PUNCT
ejpam-5640	75	4	x	x	PROPN
ejpam-5640	75	5	,	,	PUNCT
ejpam-5640	75	6	t	t	PROPN
ejpam-5640	75	7	)	)	PUNCT
ejpam-5640	75	8	component	component	NOUN
ejpam-5640	75	9	,	,	PUNCT
ejpam-5640	75	10	one	one	PRON
ejpam-5640	75	11	obtains	obtain	VERB
ejpam-5640	75	12	the	the	DET
ejpam-5640	75	13	following	follow	VERB
ejpam-5640	75	14	equations	equation	NOUN
ejpam-5640	75	15	−u2	−u2	PROPN
ejpam-5640	75	16	t	t	NOUN
ejpam-5640	75	17	−	−	PROPN
ejpam-5640	75	18	p1u2xxx	p1u2xxx	NOUN
ejpam-5640	75	19	+	+	CCONJ
ejpam-5640	75	20	q1u1xxxx	q1u1xxxx	X
ejpam-5640	75	21	+	+	CCONJ
ejpam-5640	75	22	[	[	PUNCT
ejpam-5640	75	23	r1	r1	PROPN
ejpam-5640	75	24	(	(	PUNCT
ejpam-5640	75	25	u21	u21	PROPN
ejpam-5640	75	26	+	+	CCONJ
ejpam-5640	75	27	u22	u22	PROPN
ejpam-5640	75	28	)	)	PUNCT
ejpam-5640	76	1	+	+	CCONJ
ejpam-5640	76	2	s1	s1	NOUN
ejpam-5640	76	3	(	(	PUNCT
ejpam-5640	76	4	v21	v21	NOUN
ejpam-5640	76	5	+	+	CCONJ
ejpam-5640	76	6	v22	v22	NOUN
ejpam-5640	76	7	)	)	PUNCT
ejpam-5640	76	8	]	]	PUNCT
ejpam-5640	76	9	u1	u1	NOUN
ejpam-5640	76	10	=	=	SYM
ejpam-5640	76	11	0	0	PROPN
ejpam-5640	76	12	,	,	PUNCT
ejpam-5640	76	13	(	(	PUNCT
ejpam-5640	76	14	10	10	NUM
ejpam-5640	76	15	)	)	PUNCT
ejpam-5640	76	16	a.	a.	NOUN
ejpam-5640	76	17	m.	m.	NOUN
ejpam-5640	76	18	almalki	almalki	ADP
ejpam-5640	76	19	et	et	PROPN
ejpam-5640	76	20	al	al	PROPN
ejpam-5640	76	21	.	.	PUNCT
ejpam-5640	76	22	/	/	SYM
ejpam-5640	76	23	eur	eur	PROPN
ejpam-5640	76	24	.	.	PUNCT
ejpam-5640	77	1	j.	j.	PROPN
ejpam-5640	77	2	pure	pure	PROPN
ejpam-5640	77	3	appl	appl	PROPN
ejpam-5640	77	4	.	.	PROPN
ejpam-5640	77	5	math	math	PROPN
ejpam-5640	77	6	,	,	PUNCT
ejpam-5640	77	7	18	18	NUM
ejpam-5640	77	8	(	(	PUNCT
ejpam-5640	77	9	1	1	NUM
ejpam-5640	77	10	)	)	PUNCT
ejpam-5640	77	11	(	(	PUNCT
ejpam-5640	77	12	2025	2025	NUM
ejpam-5640	77	13	)	)	PUNCT
ejpam-5640	77	14	,	,	PUNCT
ejpam-5640	77	15	5640	5640	NUM
ejpam-5640	77	16	5	5	NUM
ejpam-5640	77	17	of	of	ADP
ejpam-5640	77	18	16	16	NUM
ejpam-5640	77	19	u1	u1	NOUN
ejpam-5640	77	20	t	t	NOUN
ejpam-5640	77	21	+	+	NUM
ejpam-5640	77	22	p1u1xxx	p1u1xxx	PROPN
ejpam-5640	77	23	+	+	CCONJ
ejpam-5640	77	24	q1u2xxxx	q1u2xxxx	NUM
ejpam-5640	77	25	+	+	CCONJ
ejpam-5640	77	26	[	[	PUNCT
ejpam-5640	77	27	r1	r1	PROPN
ejpam-5640	77	28	(	(	PUNCT
ejpam-5640	77	29	u21	u21	PROPN
ejpam-5640	77	30	+	+	CCONJ
ejpam-5640	77	31	u22	u22	PROPN
ejpam-5640	77	32	)	)	PUNCT
ejpam-5640	78	1	+	+	CCONJ
ejpam-5640	78	2	s1	s1	NOUN
ejpam-5640	78	3	(	(	PUNCT
ejpam-5640	78	4	v21	v21	NOUN
ejpam-5640	78	5	+	+	CCONJ
ejpam-5640	78	6	v22	v22	NOUN
ejpam-5640	78	7	)	)	PUNCT
ejpam-5640	78	8	]	]	PUNCT
ejpam-5640	79	1	u2	u2	NOUN
ejpam-5640	79	2	=	=	SYM
ejpam-5640	79	3	0	0	NUM
ejpam-5640	79	4	,	,	PUNCT
ejpam-5640	79	5	(	(	PUNCT
ejpam-5640	79	6	11	11	NUM
ejpam-5640	79	7	)	)	PUNCT
ejpam-5640	79	8	while	while	SCONJ
ejpam-5640	79	9	the	the	DET
ejpam-5640	79	10	following	follow	VERB
ejpam-5640	79	11	equations	equation	NOUN
ejpam-5640	79	12	are	be	AUX
ejpam-5640	79	13	obtained	obtain	VERB
ejpam-5640	79	14	for	for	ADP
ejpam-5640	79	15	v	v	NOUN
ejpam-5640	79	16	(	(	PUNCT
ejpam-5640	79	17	x	x	NOUN
ejpam-5640	79	18	,	,	PUNCT
ejpam-5640	79	19	t	t	PROPN
ejpam-5640	79	20	)	)	PUNCT
ejpam-5640	79	21	component	component	NOUN
ejpam-5640	79	22	−v2	−v2	PROPN
ejpam-5640	79	23	t	t	PROPN
ejpam-5640	79	24	−	−	PROPN
ejpam-5640	79	25	p2v2xxx	p2v2xxx	X
ejpam-5640	79	26	+	+	CCONJ
ejpam-5640	79	27	q2v1xxxx	q2v1xxxx	X
ejpam-5640	79	28	+	+	PUNCT
ejpam-5640	79	29	[	[	PUNCT
ejpam-5640	79	30	r2	r2	NOUN
ejpam-5640	79	31	(	(	PUNCT
ejpam-5640	79	32	v21	v21	NOUN
ejpam-5640	79	33	+	+	CCONJ
ejpam-5640	79	34	v22	v22	NOUN
ejpam-5640	79	35	)	)	PUNCT
ejpam-5640	80	1	+	+	CCONJ
ejpam-5640	80	2	s2	s2	X
ejpam-5640	80	3	(	(	PUNCT
ejpam-5640	80	4	u21	u21	PROPN
ejpam-5640	80	5	+	+	CCONJ
ejpam-5640	80	6	u22	u22	PROPN
ejpam-5640	80	7	)	)	PUNCT
ejpam-5640	80	8	]	]	PUNCT
ejpam-5640	80	9	v1	v1	NOUN
ejpam-5640	80	10	=	=	SYM
ejpam-5640	80	11	0	0	NUM
ejpam-5640	80	12	,	,	PUNCT
ejpam-5640	80	13	(	(	PUNCT
ejpam-5640	80	14	12	12	NUM
ejpam-5640	80	15	)	)	PUNCT
ejpam-5640	80	16	v1	v1	NOUN
ejpam-5640	80	17	t	t	NOUN
ejpam-5640	80	18	+	+	NOUN
ejpam-5640	80	19	p2v1xxx	p2v1xxx	NOUN
ejpam-5640	80	20	+	+	CCONJ
ejpam-5640	80	21	q2v2xxxx	q2v2xxxx	PUNCT
ejpam-5640	80	22	+	+	PUNCT
ejpam-5640	80	23	[	[	PUNCT
ejpam-5640	80	24	r2	r2	NOUN
ejpam-5640	80	25	(	(	PUNCT
ejpam-5640	80	26	v21	v21	NOUN
ejpam-5640	80	27	+	+	CCONJ
ejpam-5640	80	28	v22	v22	NOUN
ejpam-5640	80	29	)	)	PUNCT
ejpam-5640	80	30	+	+	CCONJ
ejpam-5640	80	31	s2	s2	X
ejpam-5640	80	32	(	(	PUNCT
ejpam-5640	80	33	u21	u21	PROPN
ejpam-5640	80	34	+	+	CCONJ
ejpam-5640	80	35	u22	u22	PROPN
ejpam-5640	80	36	)	)	PUNCT
ejpam-5640	80	37	]	]	PUNCT
ejpam-5640	81	1	v2	v2	PROPN
ejpam-5640	81	2	=	=	SYM
ejpam-5640	81	3	0	0	PROPN
ejpam-5640	81	4	.	.	PUNCT
ejpam-5640	81	5	(	(	PUNCT
ejpam-5640	81	6	13	13	NUM
ejpam-5640	81	7	)	)	PUNCT
ejpam-5640	81	8	further	far	ADV
ejpam-5640	81	9	,	,	PUNCT
ejpam-5640	81	10	the	the	DET
ejpam-5640	81	11	iadm	iadm	NOUN
ejpam-5640	81	12	proceeds	proceed	VERB
ejpam-5640	81	13	to	to	PART
ejpam-5640	81	14	decompose	decompose	VERB
ejpam-5640	81	15	the	the	DET
ejpam-5640	81	16	solution	solution	NOUN
ejpam-5640	81	17	functions	function	NOUN
ejpam-5640	81	18	u1	u1	NOUN
ejpam-5640	81	19	(	(	PUNCT
ejpam-5640	81	20	x	x	NOUN
ejpam-5640	81	21	,	,	PUNCT
ejpam-5640	81	22	t	t	PROPN
ejpam-5640	81	23	)	)	PUNCT
ejpam-5640	81	24	,	,	PUNCT
ejpam-5640	81	25	u2	u2	PROPN
ejpam-5640	81	26	(	(	PUNCT
ejpam-5640	81	27	x	x	PROPN
ejpam-5640	81	28	,	,	PUNCT
ejpam-5640	81	29	t	t	PROPN
ejpam-5640	81	30	)	)	PUNCT
ejpam-5640	81	31	and	and	CCONJ
ejpam-5640	81	32	v1	v1	PROPN
ejpam-5640	81	33	(	(	PUNCT
ejpam-5640	81	34	x	x	NOUN
ejpam-5640	81	35	,	,	PUNCT
ejpam-5640	81	36	t	t	PROPN
ejpam-5640	81	37	)	)	PUNCT
ejpam-5640	81	38	,	,	PUNCT
ejpam-5640	81	39	v2	v2	PROPN
ejpam-5640	81	40	(	(	PUNCT
ejpam-5640	81	41	x	x	NOUN
ejpam-5640	81	42	,	,	PUNCT
ejpam-5640	81	43	t	t	PROPN
ejpam-5640	81	44	)	)	PUNCT
ejpam-5640	81	45	in	in	ADP
ejpam-5640	81	46	eqs	eqs	PROPN
ejpam-5640	81	47	.	.	PUNCT
ejpam-5640	82	1	(	(	PUNCT
ejpam-5640	82	2	10)-(13	10)-(13	NUM
ejpam-5640	82	3	)	)	PUNCT
ejpam-5640	82	4	using	use	VERB
ejpam-5640	82	5	the	the	DET
ejpam-5640	82	6	sums	sum	NOUN
ejpam-5640	82	7	of	of	ADP
ejpam-5640	82	8	infinite	infinite	ADJ
ejpam-5640	82	9	series	series	NOUN
ejpam-5640	82	10	of	of	ADP
ejpam-5640	82	11	the	the	DET
ejpam-5640	82	12	following	follow	VERB
ejpam-5640	82	13	form	form	NOUN
ejpam-5640	82	14	ui(x	ui(x	PROPN
ejpam-5640	82	15	,	,	PUNCT
ejpam-5640	82	16	t	t	PROPN
ejpam-5640	82	17	)	)	PUNCT
ejpam-5640	82	18	=	=	PUNCT
ejpam-5640	83	1	∞∑	∞∑	PRON
ejpam-5640	83	2	n=0	n=0	NUM
ejpam-5640	83	3	ui	ui	NOUN
ejpam-5640	83	4	,	,	PUNCT
ejpam-5640	83	5	n	n	CCONJ
ejpam-5640	83	6	,	,	PUNCT
ejpam-5640	83	7	vi(x	vi(x	NUM
ejpam-5640	83	8	,	,	PUNCT
ejpam-5640	83	9	t	t	PROPN
ejpam-5640	83	10	)	)	PUNCT
ejpam-5640	83	11	=	=	PUNCT
ejpam-5640	84	1	∞∑	∞∑	PRON
ejpam-5640	84	2	n=0	n=0	NUM
ejpam-5640	84	3	vi	vi	NOUN
ejpam-5640	84	4	,	,	PUNCT
ejpam-5640	84	5	n	n	CCONJ
ejpam-5640	84	6	,	,	PUNCT
ejpam-5640	84	7	i	i	PRON
ejpam-5640	84	8	=	=	NOUN
ejpam-5640	84	9	1	1	NUM
ejpam-5640	84	10	,	,	PUNCT
ejpam-5640	84	11	2	2	NUM
ejpam-5640	84	12	.	.	PUNCT
ejpam-5640	84	13	(	(	PUNCT
ejpam-5640	84	14	14	14	NUM
ejpam-5640	84	15	)	)	PUNCT
ejpam-5640	84	16	where	where	SCONJ
ejpam-5640	84	17	ui	ui	PROPN
ejpam-5640	84	18	,	,	PUNCT
ejpam-5640	84	19	n	n	PROPN
ejpam-5640	84	20	=	=	SYM
ejpam-5640	84	21	ui	ui	PROPN
ejpam-5640	84	22	,	,	PUNCT
ejpam-5640	84	23	n	n	PROPN
ejpam-5640	84	24	(	(	PUNCT
ejpam-5640	84	25	x	x	NOUN
ejpam-5640	84	26	,	,	PUNCT
ejpam-5640	84	27	t	t	PROPN
ejpam-5640	84	28	)	)	PUNCT
ejpam-5640	84	29	,	,	PUNCT
ejpam-5640	84	30	and	and	CCONJ
ejpam-5640	84	31	vi	vi	NOUN
ejpam-5640	84	32	,	,	PUNCT
ejpam-5640	84	33	n	n	NOUN
ejpam-5640	84	34	=	=	SYM
ejpam-5640	84	35	vi	vi	PROPN
ejpam-5640	84	36	,	,	PUNCT
ejpam-5640	84	37	n	n	CCONJ
ejpam-5640	84	38	(	(	PUNCT
ejpam-5640	84	39	x	x	NOUN
ejpam-5640	84	40	,	,	PUNCT
ejpam-5640	84	41	t	t	PROPN
ejpam-5640	84	42	)	)	PUNCT
ejpam-5640	84	43	.	.	PUNCT
ejpam-5640	85	1	furthermore	furthermore	ADV
ejpam-5640	85	2	,	,	PUNCT
ejpam-5640	85	3	when	when	SCONJ
ejpam-5640	85	4	expressing	express	VERB
ejpam-5640	85	5	eqs	eqs	PROPN
ejpam-5640	85	6	.	.	PUNCT
ejpam-5640	86	1	(	(	PUNCT
ejpam-5640	86	2	10)-(11	10)-(11	NUM
ejpam-5640	86	3	)	)	PUNCT
ejpam-5640	86	4	and	and	CCONJ
ejpam-5640	86	5	(	(	PUNCT
ejpam-5640	86	6	12)-(13	12)-(13	NUM
ejpam-5640	86	7	)	)	PUNCT
ejpam-5640	86	8	using	use	VERB
ejpam-5640	86	9	an	an	DET
ejpam-5640	86	10	operator	operator	NOUN
ejpam-5640	86	11	notation	notation	NOUN
ejpam-5640	86	12	,	,	PUNCT
ejpam-5640	86	13	which	which	PRON
ejpam-5640	86	14	is	be	AUX
ejpam-5640	86	15	,	,	PUNCT
ejpam-5640	86	16	replacing	replace	VERB
ejpam-5640	86	17	d	d	NOUN
ejpam-5640	86	18	dt	dt	NOUN
ejpam-5640	86	19	with	with	ADP
ejpam-5640	86	20	lt	lt	PROPN
ejpam-5640	86	21	,	,	PUNCT
ejpam-5640	86	22	one	one	PRON
ejpam-5640	86	23	thus	thus	ADV
ejpam-5640	86	24	obtains	obtain	VERB
ejpam-5640	86	25	the	the	DET
ejpam-5640	86	26	following	follow	VERB
ejpam-5640	86	27	equations	equation	NOUN
ejpam-5640	86	28	for	for	ADP
ejpam-5640	86	29	u	u	PROPN
ejpam-5640	86	30	(	(	PUNCT
ejpam-5640	86	31	x	x	PROPN
ejpam-5640	86	32	,	,	PUNCT
ejpam-5640	86	33	t	t	PROPN
ejpam-5640	86	34	)	)	PUNCT
ejpam-5640	86	35	component	component	NOUN
ejpam-5640	86	36	−ltu2	−ltu2	PROPN
ejpam-5640	86	37	−	−	PROPN
ejpam-5640	86	38	p1u2xxx	p1u2xxx	X
ejpam-5640	86	39	+	+	NUM
ejpam-5640	86	40	q1u1xxxx	q1u1xxxx	NUM
ejpam-5640	86	41	+	+	ADJ
ejpam-5640	86	42	n2	n2	ADJ
ejpam-5640	86	43	(	(	PUNCT
ejpam-5640	86	44	u1	u1	NOUN
ejpam-5640	86	45	,	,	PUNCT
ejpam-5640	86	46	u2	u2	PROPN
ejpam-5640	86	47	)	)	PUNCT
ejpam-5640	86	48	=	=	SYM
ejpam-5640	86	49	0	0	NUM
ejpam-5640	86	50	,	,	PUNCT
ejpam-5640	86	51	(	(	PUNCT
ejpam-5640	86	52	15	15	X
ejpam-5640	86	53	)	)	PUNCT
ejpam-5640	86	54	ltu1	ltu1	NOUN
ejpam-5640	86	55	+	+	CCONJ
ejpam-5640	86	56	p1u1xxx	p1u1xxx	PROPN
ejpam-5640	86	57	+	+	CCONJ
ejpam-5640	86	58	q1u2xxxx	q1u2xxxx	ADJ
ejpam-5640	86	59	+	+	ADJ
ejpam-5640	86	60	n1	n1	ADJ
ejpam-5640	86	61	(	(	PUNCT
ejpam-5640	86	62	u1	u1	NOUN
ejpam-5640	86	63	,	,	PUNCT
ejpam-5640	86	64	u2	u2	PROPN
ejpam-5640	86	65	)	)	PUNCT
ejpam-5640	86	66	=	=	SYM
ejpam-5640	86	67	0	0	NUM
ejpam-5640	86	68	,	,	PUNCT
ejpam-5640	86	69	(	(	PUNCT
ejpam-5640	86	70	16	16	NUM
ejpam-5640	86	71	)	)	PUNCT
ejpam-5640	86	72	and	and	CCONJ
ejpam-5640	86	73	for	for	ADP
ejpam-5640	86	74	v	v	NOUN
ejpam-5640	86	75	(	(	PUNCT
ejpam-5640	86	76	x	x	NOUN
ejpam-5640	86	77	,	,	PUNCT
ejpam-5640	86	78	t	t	PROPN
ejpam-5640	86	79	)	)	PUNCT
ejpam-5640	86	80	component	component	NOUN
ejpam-5640	86	81	as	as	SCONJ
ejpam-5640	86	82	follows	follow	VERB
ejpam-5640	86	83	−ltv2	−ltv2	PROPN
ejpam-5640	86	84	−	−	PROPN
ejpam-5640	87	1	p2v2xxx	p2v2xxx	NUM
ejpam-5640	87	2	+	+	CCONJ
ejpam-5640	87	3	q2v1xxxx	q2v1xxxx	X
ejpam-5640	87	4	+	+	PROPN
ejpam-5640	87	5	a2	a2	PROPN
ejpam-5640	87	6	(	(	PUNCT
ejpam-5640	87	7	v1	v1	NOUN
ejpam-5640	87	8	,	,	PUNCT
ejpam-5640	87	9	v2	v2	NOUN
ejpam-5640	87	10	)	)	PUNCT
ejpam-5640	87	11	=	=	SYM
ejpam-5640	87	12	0	0	NUM
ejpam-5640	87	13	,	,	PUNCT
ejpam-5640	87	14	(	(	PUNCT
ejpam-5640	87	15	17	17	NUM
ejpam-5640	87	16	)	)	PUNCT
ejpam-5640	87	17	ltv1	ltv1	NOUN
ejpam-5640	87	18	+	+	CCONJ
ejpam-5640	87	19	p2v1xxx	p2v1xxx	NOUN
ejpam-5640	87	20	+	+	CCONJ
ejpam-5640	87	21	q2v2xxxx	q2v2xxxx	PUNCT
ejpam-5640	87	22	+	+	ADJ
ejpam-5640	87	23	a1	a1	NOUN
ejpam-5640	87	24	(	(	PUNCT
ejpam-5640	87	25	v1	v1	NOUN
ejpam-5640	87	26	,	,	PUNCT
ejpam-5640	87	27	v2	v2	NOUN
ejpam-5640	87	28	)	)	PUNCT
ejpam-5640	87	29	=	=	SYM
ejpam-5640	87	30	0	0	NUM
ejpam-5640	87	31	,	,	PUNCT
ejpam-5640	87	32	(	(	PUNCT
ejpam-5640	87	33	18	18	NUM
ejpam-5640	87	34	)	)	PUNCT
ejpam-5640	87	35	where	where	SCONJ
ejpam-5640	87	36	n1	n1	PROPN
ejpam-5640	87	37	(	(	PUNCT
ejpam-5640	87	38	u1	u1	NOUN
ejpam-5640	87	39	,	,	PUNCT
ejpam-5640	87	40	u2	u2	PROPN
ejpam-5640	87	41	)	)	PUNCT
ejpam-5640	87	42	and	and	CCONJ
ejpam-5640	87	43	n2	n2	ADJ
ejpam-5640	87	44	(	(	PUNCT
ejpam-5640	87	45	u1	u1	NOUN
ejpam-5640	87	46	,	,	PUNCT
ejpam-5640	87	47	u2	u2	PROPN
ejpam-5640	87	48	)	)	PUNCT
ejpam-5640	87	49	in	in	ADP
ejpam-5640	87	50	the	the	DET
ejpam-5640	87	51	u	u	NOUN
ejpam-5640	87	52	(	(	PUNCT
ejpam-5640	87	53	x	x	PROPN
ejpam-5640	87	54	,	,	PUNCT
ejpam-5640	87	55	t	t	PROPN
ejpam-5640	87	56	)	)	PUNCT
ejpam-5640	87	57	component	component	NOUN
ejpam-5640	87	58	equations	equation	NOUN
ejpam-5640	87	59	are	be	AUX
ejpam-5640	87	60	nonlinear	nonlinear	ADJ
ejpam-5640	87	61	terms	term	NOUN
ejpam-5640	87	62	,	,	PUNCT
ejpam-5640	87	63	explicitly	explicitly	ADV
ejpam-5640	87	64	expressed	express	VERB
ejpam-5640	87	65	as	as	SCONJ
ejpam-5640	87	66	follows	follow	VERB
ejpam-5640	87	67	n2	n2	NOUN
ejpam-5640	87	68	(	(	PUNCT
ejpam-5640	87	69	u1	u1	NOUN
ejpam-5640	87	70	,	,	PUNCT
ejpam-5640	87	71	u2	u2	NOUN
ejpam-5640	87	72	)	)	PUNCT
ejpam-5640	87	73	=	=	PUNCT
ejpam-5640	88	1	[	[	PUNCT
ejpam-5640	88	2	r1	r1	PROPN
ejpam-5640	88	3	(	(	PUNCT
ejpam-5640	88	4	u21	u21	PROPN
ejpam-5640	88	5	+	+	CCONJ
ejpam-5640	88	6	u22	u22	PROPN
ejpam-5640	88	7	)	)	PUNCT
ejpam-5640	89	1	+	+	CCONJ
ejpam-5640	89	2	s1	s1	NOUN
ejpam-5640	89	3	(	(	PUNCT
ejpam-5640	89	4	v21	v21	NOUN
ejpam-5640	89	5	+	+	CCONJ
ejpam-5640	89	6	v22	v22	NOUN
ejpam-5640	89	7	)	)	PUNCT
ejpam-5640	89	8	]	]	PUNCT
ejpam-5640	89	9	u1	u1	NOUN
ejpam-5640	89	10	,	,	PUNCT
ejpam-5640	89	11	n1	n1	PROPN
ejpam-5640	89	12	(	(	PUNCT
ejpam-5640	89	13	u1	u1	NOUN
ejpam-5640	89	14	,	,	PUNCT
ejpam-5640	89	15	u2	u2	NOUN
ejpam-5640	89	16	)	)	PUNCT
ejpam-5640	89	17	=	=	PUNCT
ejpam-5640	89	18	[	[	PUNCT
ejpam-5640	89	19	r1	r1	PROPN
ejpam-5640	89	20	(	(	PUNCT
ejpam-5640	89	21	u21	u21	PROPN
ejpam-5640	89	22	+	+	CCONJ
ejpam-5640	89	23	u22	u22	PROPN
ejpam-5640	89	24	)	)	PUNCT
ejpam-5640	90	1	+	+	CCONJ
ejpam-5640	90	2	s1	s1	NOUN
ejpam-5640	90	3	(	(	PUNCT
ejpam-5640	90	4	v21	v21	NOUN
ejpam-5640	90	5	+	+	CCONJ
ejpam-5640	90	6	v22	v22	NOUN
ejpam-5640	90	7	)	)	PUNCT
ejpam-5640	90	8	]	]	X
ejpam-5640	91	1	u2	u2	NOUN
ejpam-5640	91	2	,	,	PUNCT
ejpam-5640	91	3	while	while	SCONJ
ejpam-5640	91	4	the	the	DET
ejpam-5640	91	5	nonlinear	nonlinear	ADJ
ejpam-5640	91	6	terms	term	NOUN
ejpam-5640	91	7	a1	a1	NOUN
ejpam-5640	91	8	(	(	PUNCT
ejpam-5640	91	9	v1	v1	NOUN
ejpam-5640	91	10	,	,	PUNCT
ejpam-5640	91	11	v2	v2	NOUN
ejpam-5640	91	12	)	)	PUNCT
ejpam-5640	91	13	and	and	CCONJ
ejpam-5640	91	14	a2	a2	PROPN
ejpam-5640	91	15	(	(	PUNCT
ejpam-5640	91	16	v1	v1	PROPN
ejpam-5640	91	17	,	,	PUNCT
ejpam-5640	91	18	v2	v2	PROPN
ejpam-5640	91	19	)	)	PUNCT
ejpam-5640	91	20	in	in	ADP
ejpam-5640	91	21	the	the	DET
ejpam-5640	91	22	v	v	NOUN
ejpam-5640	91	23	(	(	PUNCT
ejpam-5640	91	24	x	x	PROPN
ejpam-5640	91	25	,	,	PUNCT
ejpam-5640	91	26	t	t	PROPN
ejpam-5640	91	27	)	)	PUNCT
ejpam-5640	91	28	component	component	NOUN
ejpam-5640	91	29	equations	equation	NOUN
ejpam-5640	91	30	are	be	AUX
ejpam-5640	91	31	determined	determine	VERB
ejpam-5640	91	32	as	as	SCONJ
ejpam-5640	91	33	follows	follow	VERB
ejpam-5640	91	34	a2	a2	PROPN
ejpam-5640	91	35	(	(	PUNCT
ejpam-5640	91	36	v1	v1	PROPN
ejpam-5640	91	37	,	,	PUNCT
ejpam-5640	91	38	v2	v2	NOUN
ejpam-5640	91	39	)	)	PUNCT
ejpam-5640	91	40	=	=	PUNCT
ejpam-5640	91	41	[	[	PUNCT
ejpam-5640	91	42	r2	r2	PROPN
ejpam-5640	91	43	(	(	PUNCT
ejpam-5640	91	44	v21	v21	NOUN
ejpam-5640	91	45	+	+	CCONJ
ejpam-5640	91	46	v22	v22	NOUN
ejpam-5640	91	47	)	)	PUNCT
ejpam-5640	91	48	+	+	CCONJ
ejpam-5640	91	49	s2	s2	X
ejpam-5640	91	50	(	(	PUNCT
ejpam-5640	91	51	u21	u21	PROPN
ejpam-5640	91	52	+	+	CCONJ
ejpam-5640	91	53	u22	u22	PROPN
ejpam-5640	91	54	)	)	PUNCT
ejpam-5640	91	55	]	]	PUNCT
ejpam-5640	91	56	v1	v1	NOUN
ejpam-5640	91	57	,	,	PUNCT
ejpam-5640	91	58	a1	a1	NOUN
ejpam-5640	91	59	(	(	PUNCT
ejpam-5640	91	60	v1	v1	NOUN
ejpam-5640	91	61	,	,	PUNCT
ejpam-5640	91	62	v2	v2	NOUN
ejpam-5640	91	63	)	)	PUNCT
ejpam-5640	91	64	=	=	PUNCT
ejpam-5640	91	65	[	[	PUNCT
ejpam-5640	91	66	r2	r2	PROPN
ejpam-5640	91	67	(	(	PUNCT
ejpam-5640	91	68	v21	v21	NOUN
ejpam-5640	91	69	+	+	CCONJ
ejpam-5640	91	70	v22	v22	NOUN
ejpam-5640	91	71	)	)	PUNCT
ejpam-5640	91	72	+	+	CCONJ
ejpam-5640	91	73	s2	s2	X
ejpam-5640	91	74	(	(	PUNCT
ejpam-5640	91	75	u21	u21	PROPN
ejpam-5640	91	76	+	+	CCONJ
ejpam-5640	91	77	u22	u22	PROPN
ejpam-5640	91	78	)	)	PUNCT
ejpam-5640	91	79	]	]	PUNCT
ejpam-5640	92	1	v2	v2	X
ejpam-5640	92	2	.	.	PUNCT
ejpam-5640	93	1	moreover	moreover	ADV
ejpam-5640	93	2	,	,	PUNCT
ejpam-5640	93	3	upon	upon	SCONJ
ejpam-5640	93	4	applying	apply	VERB
ejpam-5640	93	5	the	the	DET
ejpam-5640	93	6	inversion	inversion	NOUN
ejpam-5640	93	7	operator	operator	NOUN
ejpam-5640	93	8	l−1	l−1	PROPN
ejpam-5640	93	9	t	t	NOUN
ejpam-5640	93	10	of	of	ADP
ejpam-5640	93	11	the	the	DET
ejpam-5640	93	12	earlier	early	ADV
ejpam-5640	93	13	applied	apply	VERB
ejpam-5640	93	14	direct	direct	ADJ
ejpam-5640	93	15	linear	linear	NOUN
ejpam-5640	93	16	operator	operator	NOUN
ejpam-5640	93	17	lt	lt	NOUN
ejpam-5640	93	18	,	,	PUNCT
ejpam-5640	93	19	expressed	express	VERB
ejpam-5640	93	20	as	as	ADP
ejpam-5640	93	21	l−1	l−1	PROPN
ejpam-5640	93	22	t	t	NOUN
ejpam-5640	93	23	=	=	SYM
ejpam-5640	93	24	∫	∫	PROPN
ejpam-5640	93	25	t	t	PROPN
ejpam-5640	93	26	0	0	NUM
ejpam-5640	93	27	(	(	PUNCT
ejpam-5640	93	28	.	.	PUNCT
ejpam-5640	93	29	)	)	PUNCT
ejpam-5640	94	1	dt	dt	PUNCT
ejpam-5640	94	2	to	to	ADP
ejpam-5640	94	3	eqs	eqs	PROPN
ejpam-5640	94	4	.	.	PUNCT
ejpam-5640	95	1	(	(	PUNCT
ejpam-5640	95	2	15)-(18	15)-(18	NUM
ejpam-5640	95	3	)	)	PUNCT
ejpam-5640	95	4	,	,	PUNCT
ejpam-5640	95	5	one	one	PRON
ejpam-5640	95	6	obtains	obtain	VERB
ejpam-5640	95	7	from	from	ADP
ejpam-5640	95	8	the	the	DET
ejpam-5640	95	9	u	u	NOUN
ejpam-5640	95	10	(	(	PUNCT
ejpam-5640	95	11	x	x	PROPN
ejpam-5640	95	12	,	,	PUNCT
ejpam-5640	95	13	t	t	PROPN
ejpam-5640	95	14	)	)	PUNCT
ejpam-5640	95	15	component	component	NOUN
ejpam-5640	95	16	equations	equation	NOUN
ejpam-5640	95	17	as	as	SCONJ
ejpam-5640	95	18	follows	follow	VERB
ejpam-5640	95	19	u1	u1	NOUN
ejpam-5640	95	20	(	(	PUNCT
ejpam-5640	95	21	x	x	NOUN
ejpam-5640	95	22	,	,	PUNCT
ejpam-5640	95	23	t	t	PROPN
ejpam-5640	95	24	)	)	PUNCT
ejpam-5640	95	25	=	=	SYM
ejpam-5640	95	26	u1	u1	NOUN
ejpam-5640	95	27	(	(	PUNCT
ejpam-5640	95	28	x	x	NOUN
ejpam-5640	95	29	,	,	PUNCT
ejpam-5640	95	30	0)−	0)−	NUM
ejpam-5640	95	31	p1l	p1l	NUM
ejpam-5640	95	32	−1	−1	NOUN
ejpam-5640	95	33	t	t	PROPN
ejpam-5640	95	34	u1xxx	u1xxx	NOUN
ejpam-5640	95	35	−	−	PROPN
ejpam-5640	95	36	q1l	q1l	X
ejpam-5640	95	37	−1	−1	NOUN
ejpam-5640	95	38	t	t	PROPN
ejpam-5640	95	39	u2xxxx	u2xxxx	PROPN
ejpam-5640	95	40	−	−	PROPN
ejpam-5640	95	41	l−1	l−1	PROPN
ejpam-5640	95	42	t	t	PROPN
ejpam-5640	95	43	n1	n1	PROPN
ejpam-5640	95	44	(	(	PUNCT
ejpam-5640	95	45	u1	u1	NOUN
ejpam-5640	95	46	,	,	PUNCT
ejpam-5640	95	47	u2	u2	PROPN
ejpam-5640	95	48	)	)	PUNCT
ejpam-5640	95	49	,	,	PUNCT
ejpam-5640	95	50	(	(	PUNCT
ejpam-5640	95	51	19	19	NUM
ejpam-5640	95	52	)	)	PUNCT
ejpam-5640	95	53	u2	u2	NOUN
ejpam-5640	95	54	(	(	PUNCT
ejpam-5640	95	55	x	x	PROPN
ejpam-5640	95	56	,	,	PUNCT
ejpam-5640	95	57	t	t	PROPN
ejpam-5640	95	58	)	)	PUNCT
ejpam-5640	96	1	=	=	SYM
ejpam-5640	96	2	u2	u2	PROPN
ejpam-5640	96	3	(	(	PUNCT
ejpam-5640	96	4	x	x	X
ejpam-5640	96	5	,	,	PUNCT
ejpam-5640	96	6	0)−	0)−	NUM
ejpam-5640	96	7	p1l	p1l	NOUN
ejpam-5640	97	1	−1	−1	NOUN
ejpam-5640	97	2	t	t	NOUN
ejpam-5640	97	3	u2xxx	u2xxx	NUM
ejpam-5640	98	1	+	+	CCONJ
ejpam-5640	98	2	q1l	q1l	NUM
ejpam-5640	98	3	−1	−1	NOUN
ejpam-5640	99	1	t	t	PROPN
ejpam-5640	99	2	u1xxxx	u1xxxx	PROPN
ejpam-5640	100	1	+	+	CCONJ
ejpam-5640	100	2	l−1	l−1	PROPN
ejpam-5640	100	3	t	t	NOUN
ejpam-5640	100	4	n2	n2	NOUN
ejpam-5640	100	5	(	(	PUNCT
ejpam-5640	100	6	u1	u1	NOUN
ejpam-5640	100	7	,	,	PUNCT
ejpam-5640	100	8	u2	u2	PROPN
ejpam-5640	100	9	)	)	PUNCT
ejpam-5640	100	10	,	,	PUNCT
ejpam-5640	100	11	(	(	PUNCT
ejpam-5640	100	12	20	20	X
ejpam-5640	100	13	)	)	PUNCT
ejpam-5640	100	14	a.	a.	NOUN
ejpam-5640	100	15	m.	m.	NOUN
ejpam-5640	100	16	almalki	almalki	ADP
ejpam-5640	100	17	et	et	PROPN
ejpam-5640	100	18	al	al	PROPN
ejpam-5640	100	19	.	.	PUNCT
ejpam-5640	100	20	/	/	SYM
ejpam-5640	100	21	eur	eur	PROPN
ejpam-5640	100	22	.	.	PUNCT
ejpam-5640	101	1	j.	j.	PROPN
ejpam-5640	101	2	pure	pure	PROPN
ejpam-5640	101	3	appl	appl	PROPN
ejpam-5640	101	4	.	.	PROPN
ejpam-5640	101	5	math	math	PROPN
ejpam-5640	101	6	,	,	PUNCT
ejpam-5640	101	7	18	18	NUM
ejpam-5640	101	8	(	(	PUNCT
ejpam-5640	101	9	1	1	NUM
ejpam-5640	101	10	)	)	PUNCT
ejpam-5640	101	11	(	(	PUNCT
ejpam-5640	101	12	2025	2025	NUM
ejpam-5640	101	13	)	)	PUNCT
ejpam-5640	101	14	,	,	PUNCT
ejpam-5640	101	15	5640	5640	NUM
ejpam-5640	101	16	6	6	NUM
ejpam-5640	101	17	of	of	ADP
ejpam-5640	101	18	16	16	NUM
ejpam-5640	101	19	while	while	SCONJ
ejpam-5640	101	20	the	the	DET
ejpam-5640	101	21	v	v	NOUN
ejpam-5640	101	22	(	(	PUNCT
ejpam-5640	101	23	x	x	PROPN
ejpam-5640	101	24	,	,	PUNCT
ejpam-5640	101	25	t	t	PROPN
ejpam-5640	101	26	)	)	PUNCT
ejpam-5640	101	27	component	component	NOUN
ejpam-5640	101	28	equations	equation	NOUN
ejpam-5640	101	29	yield	yield	VERB
ejpam-5640	101	30	the	the	DET
ejpam-5640	101	31	following	follow	VERB
ejpam-5640	101	32	v1	v1	NOUN
ejpam-5640	101	33	(	(	PUNCT
ejpam-5640	101	34	x	x	NOUN
ejpam-5640	101	35	,	,	PUNCT
ejpam-5640	101	36	t	t	PROPN
ejpam-5640	101	37	)	)	PUNCT
ejpam-5640	102	1	=	=	SYM
ejpam-5640	102	2	v1	v1	NOUN
ejpam-5640	102	3	(	(	PUNCT
ejpam-5640	102	4	x	x	NOUN
ejpam-5640	102	5	,	,	PUNCT
ejpam-5640	102	6	0)−	0)−	PUNCT
ejpam-5640	103	1	p2l	p2l	PROPN
ejpam-5640	103	2	−1	−1	NOUN
ejpam-5640	103	3	t	t	NOUN
ejpam-5640	103	4	v1xxx	v1xxx	NOUN
ejpam-5640	103	5	−	−	PROPN
ejpam-5640	104	1	q2l	q2l	PROPN
ejpam-5640	104	2	−1	−1	NOUN
ejpam-5640	104	3	t	t	PROPN
ejpam-5640	104	4	v2xxxx	v2xxxx	NOUN
ejpam-5640	104	5	−	−	PROPN
ejpam-5640	104	6	l−1	l−1	PROPN
ejpam-5640	104	7	t	t	PROPN
ejpam-5640	104	8	a1	a1	NOUN
ejpam-5640	104	9	(	(	PUNCT
ejpam-5640	104	10	v1	v1	NOUN
ejpam-5640	104	11	,	,	PUNCT
ejpam-5640	104	12	v2	v2	PROPN
ejpam-5640	104	13	)	)	PUNCT
ejpam-5640	104	14	,	,	PUNCT
ejpam-5640	104	15	(	(	PUNCT
ejpam-5640	104	16	21	21	X
ejpam-5640	104	17	)	)	PUNCT
ejpam-5640	104	18	v2	v2	PROPN
ejpam-5640	104	19	(	(	PUNCT
ejpam-5640	104	20	x	x	NOUN
ejpam-5640	104	21	,	,	PUNCT
ejpam-5640	104	22	t	t	PROPN
ejpam-5640	104	23	)	)	PUNCT
ejpam-5640	105	1	=	=	SYM
ejpam-5640	105	2	v2	v2	INTJ
ejpam-5640	105	3	(	(	PUNCT
ejpam-5640	105	4	x	x	NOUN
ejpam-5640	105	5	,	,	PUNCT
ejpam-5640	105	6	0)−	0)−	PUNCT
ejpam-5640	106	1	p2l	p2l	PROPN
ejpam-5640	106	2	−1	−1	NOUN
ejpam-5640	106	3	t	t	PROPN
ejpam-5640	106	4	v2xxx	v2xxx	PROPN
ejpam-5640	107	1	+	+	CCONJ
ejpam-5640	107	2	q2l	q2l	PROPN
ejpam-5640	107	3	−1	−1	NOUN
ejpam-5640	107	4	t	t	NOUN
ejpam-5640	107	5	v1xxxx	v1xxxx	NOUN
ejpam-5640	107	6	+	+	CCONJ
ejpam-5640	107	7	l−1	l−1	PROPN
ejpam-5640	107	8	t	t	PROPN
ejpam-5640	107	9	a2	a2	PROPN
ejpam-5640	107	10	(	(	PUNCT
ejpam-5640	107	11	v1	v1	NOUN
ejpam-5640	107	12	,	,	PUNCT
ejpam-5640	107	13	v2	v2	PROPN
ejpam-5640	107	14	)	)	PUNCT
ejpam-5640	107	15	.	.	PUNCT
ejpam-5640	108	1	(	(	PUNCT
ejpam-5640	108	2	22	22	NUM
ejpam-5640	108	3	)	)	PUNCT
ejpam-5640	108	4	notably	notably	ADV
ejpam-5640	108	5	,	,	PUNCT
ejpam-5640	108	6	the	the	DET
ejpam-5640	108	7	initial	initial	ADJ
ejpam-5640	108	8	conditions	condition	NOUN
ejpam-5640	108	9	,	,	PUNCT
ejpam-5640	108	10	u1	u1	NOUN
ejpam-5640	108	11	(	(	PUNCT
ejpam-5640	108	12	x	x	NOUN
ejpam-5640	108	13	,	,	PUNCT
ejpam-5640	108	14	0	0	NUM
ejpam-5640	108	15	)	)	PUNCT
ejpam-5640	108	16	,	,	PUNCT
ejpam-5640	108	17	u2	u2	PROPN
ejpam-5640	108	18	(	(	PUNCT
ejpam-5640	108	19	x	x	X
ejpam-5640	108	20	,	,	PUNCT
ejpam-5640	108	21	0	0	NUM
ejpam-5640	108	22	)	)	PUNCT
ejpam-5640	108	23	and	and	CCONJ
ejpam-5640	108	24	v1	v1	NOUN
ejpam-5640	108	25	(	(	PUNCT
ejpam-5640	108	26	x	x	X
ejpam-5640	108	27	,	,	PUNCT
ejpam-5640	108	28	0	0	NUM
ejpam-5640	108	29	)	)	PUNCT
ejpam-5640	108	30	,	,	PUNCT
ejpam-5640	108	31	v2	v2	PROPN
ejpam-5640	108	32	(	(	PUNCT
ejpam-5640	108	33	x	x	NOUN
ejpam-5640	108	34	,	,	PUNCT
ejpam-5640	108	35	0	0	NUM
ejpam-5640	108	36	)	)	PUNCT
ejpam-5640	108	37	appearing	appear	VERB
ejpam-5640	108	38	in	in	ADP
ejpam-5640	108	39	the	the	DET
ejpam-5640	108	40	above	above	ADV
ejpam-5640	108	41	coupled	couple	VERB
ejpam-5640	108	42	system	system	NOUN
ejpam-5640	108	43	can	can	AUX
ejpam-5640	108	44	easily	easily	ADV
ejpam-5640	108	45	be	be	AUX
ejpam-5640	108	46	determined	determine	VERB
ejpam-5640	108	47	upon	upon	SCONJ
ejpam-5640	108	48	referring	refer	VERB
ejpam-5640	108	49	to	to	ADP
ejpam-5640	108	50	the	the	DET
ejpam-5640	108	51	initial	initial	ADJ
ejpam-5640	108	52	solution	solution	NOUN
ejpam-5640	108	53	assumption	assumption	NOUN
ejpam-5640	108	54	as	as	SCONJ
ejpam-5640	108	55	follows	follow	VERB
ejpam-5640	108	56	u1(x	u1(x	ADV
ejpam-5640	108	57	,	,	PUNCT
ejpam-5640	108	58	0	0	NUM
ejpam-5640	108	59	)	)	PUNCT
ejpam-5640	108	60	=	=	SYM
ejpam-5640	109	1	re(u(x	re(u(x	NOUN
ejpam-5640	109	2	,	,	PUNCT
ejpam-5640	109	3	t	t	NOUN
ejpam-5640	109	4	)	)	PUNCT
ejpam-5640	109	5	)	)	PUNCT
ejpam-5640	109	6	,	,	PUNCT
ejpam-5640	109	7	u2(x	u2(x	PROPN
ejpam-5640	109	8	,	,	PUNCT
ejpam-5640	109	9	0	0	NUM
ejpam-5640	109	10	)	)	PUNCT
ejpam-5640	109	11	=	=	SYM
ejpam-5640	110	1	im(u(x	im(u(x	NOUN
ejpam-5640	110	2	,	,	PUNCT
ejpam-5640	110	3	t	t	NOUN
ejpam-5640	110	4	)	)	PUNCT
ejpam-5640	110	5	)	)	PUNCT
ejpam-5640	110	6	,	,	PUNCT
ejpam-5640	110	7	v1(x	v1(x	NOUN
ejpam-5640	110	8	,	,	PUNCT
ejpam-5640	110	9	0	0	NUM
ejpam-5640	110	10	)	)	PUNCT
ejpam-5640	110	11	=	=	PUNCT
ejpam-5640	110	12	re(v(x	re(v(x	PROPN
ejpam-5640	110	13	,	,	PUNCT
ejpam-5640	110	14	t	t	PROPN
ejpam-5640	110	15	)	)	PUNCT
ejpam-5640	110	16	)	)	PUNCT
ejpam-5640	110	17	,	,	PUNCT
ejpam-5640	110	18	v2(x	v2(x	NOUN
ejpam-5640	110	19	,	,	PUNCT
ejpam-5640	110	20	0	0	NUM
ejpam-5640	110	21	)	)	PUNCT
ejpam-5640	110	22	=	=	PUNCT
ejpam-5640	110	23	im(v(x	im(v(x	X
ejpam-5640	110	24	,	,	PUNCT
ejpam-5640	110	25	t	t	PROPN
ejpam-5640	110	26	)	)	PUNCT
ejpam-5640	110	27	)	)	PUNCT
ejpam-5640	110	28	.	.	PUNCT
ejpam-5640	111	1	}	}	PUNCT
ejpam-5640	111	2	nonetheless	nonetheless	ADV
ejpam-5640	111	3	,	,	PUNCT
ejpam-5640	111	4	and	and	CCONJ
ejpam-5640	111	5	without	without	ADP
ejpam-5640	111	6	much	much	ADJ
ejpam-5640	111	7	delay	delay	NOUN
ejpam-5640	111	8	,	,	PUNCT
ejpam-5640	111	9	the	the	DET
ejpam-5640	111	10	deployed	deploy	VERB
ejpam-5640	111	11	iadm	iadm	NOUN
ejpam-5640	111	12	reveals	reveal	VERB
ejpam-5640	111	13	the	the	DET
ejpam-5640	111	14	following	follow	VERB
ejpam-5640	111	15	generalized	generalized	ADJ
ejpam-5640	111	16	recurrent	recurrent	ADJ
ejpam-5640	111	17	solution	solution	NOUN
ejpam-5640	111	18	for	for	ADP
ejpam-5640	111	19	eqs	eqs	PROPN
ejpam-5640	111	20	.	.	PUNCT
ejpam-5640	112	1	(	(	PUNCT
ejpam-5640	112	2	10)-(13	10)-(13	NUM
ejpam-5640	112	3	)	)	PUNCT
ejpam-5640	112	4	,	,	PUNCT
ejpam-5640	112	5	starting	start	VERB
ejpam-5640	112	6	with	with	ADP
ejpam-5640	112	7	the	the	DET
ejpam-5640	112	8	u	u	NOUN
ejpam-5640	112	9	(	(	PUNCT
ejpam-5640	112	10	x	x	PROPN
ejpam-5640	112	11	,	,	PUNCT
ejpam-5640	112	12	t	t	PROPN
ejpam-5640	112	13	)	)	PUNCT
ejpam-5640	112	14	solution	solution	NOUN
ejpam-5640	112	15	component	component	NOUN
ejpam-5640	112	16	as	as	SCONJ
ejpam-5640	112	17	follows	follow	VERB
ejpam-5640	112	18	u1,0	u1,0	PROPN
ejpam-5640	112	19	(	(	PUNCT
ejpam-5640	112	20	x	x	NOUN
ejpam-5640	112	21	,	,	PUNCT
ejpam-5640	112	22	t	t	PROPN
ejpam-5640	112	23	)	)	PUNCT
ejpam-5640	112	24	=	=	SYM
ejpam-5640	112	25	u1	u1	NOUN
ejpam-5640	112	26	(	(	PUNCT
ejpam-5640	112	27	x	x	NOUN
ejpam-5640	112	28	,	,	PUNCT
ejpam-5640	112	29	0	0	NUM
ejpam-5640	112	30	)	)	PUNCT
ejpam-5640	112	31	,	,	PUNCT
ejpam-5640	112	32	(	(	PUNCT
ejpam-5640	112	33	23	23	NUM
ejpam-5640	112	34	)	)	PUNCT
ejpam-5640	112	35	u2,0	u2,0	PROPN
ejpam-5640	112	36	(	(	PUNCT
ejpam-5640	112	37	x	x	PROPN
ejpam-5640	112	38	,	,	PUNCT
ejpam-5640	112	39	t	t	PROPN
ejpam-5640	112	40	)	)	PUNCT
ejpam-5640	113	1	=	=	SYM
ejpam-5640	113	2	u2	u2	PROPN
ejpam-5640	113	3	(	(	PUNCT
ejpam-5640	113	4	x	x	X
ejpam-5640	113	5	,	,	PUNCT
ejpam-5640	113	6	0	0	NUM
ejpam-5640	113	7	)	)	PUNCT
ejpam-5640	113	8	,	,	PUNCT
ejpam-5640	113	9	(	(	PUNCT
ejpam-5640	113	10	24	24	NUM
ejpam-5640	113	11	)	)	PUNCT
ejpam-5640	113	12	u1,k+1	u1,k+1	X
ejpam-5640	113	13	(	(	PUNCT
ejpam-5640	113	14	x	x	X
ejpam-5640	113	15	,	,	PUNCT
ejpam-5640	113	16	t	t	PROPN
ejpam-5640	113	17	)	)	PUNCT
ejpam-5640	113	18	=	=	SYM
ejpam-5640	114	1	−p1l	−p1l	NUM
ejpam-5640	114	2	−1	−1	NOUN
ejpam-5640	114	3	t	t	NOUN
ejpam-5640	114	4	(	(	PUNCT
ejpam-5640	114	5	u1,k)xxx	u1,k)xxx	NUM
ejpam-5640	114	6	−	−	PROPN
ejpam-5640	114	7	q1l	q1l	NOUN
ejpam-5640	114	8	−1	−1	NOUN
ejpam-5640	114	9	t	t	PROPN
ejpam-5640	114	10	(	(	PUNCT
ejpam-5640	114	11	u2,k)xxxx	u2,k)xxxx	ADV
ejpam-5640	114	12	−	−	PROPN
ejpam-5640	114	13	l−1	l−1	PROPN
ejpam-5640	114	14	t	t	PROPN
ejpam-5640	114	15	(	(	PUNCT
ejpam-5640	114	16	a1,k	a1,k	PROPN
ejpam-5640	114	17	)	)	PUNCT
ejpam-5640	114	18	,	,	PUNCT
ejpam-5640	114	19	(	(	PUNCT
ejpam-5640	114	20	25	25	NUM
ejpam-5640	114	21	)	)	PUNCT
ejpam-5640	114	22	u2,k+1	u2,k+1	PROPN
ejpam-5640	114	23	(	(	PUNCT
ejpam-5640	114	24	x	x	NOUN
ejpam-5640	114	25	,	,	PUNCT
ejpam-5640	114	26	t	t	PROPN
ejpam-5640	114	27	)	)	PUNCT
ejpam-5640	114	28	=	=	SYM
ejpam-5640	115	1	−p1l	−p1l	NUM
ejpam-5640	115	2	−1	−1	NOUN
ejpam-5640	115	3	t	t	NOUN
ejpam-5640	115	4	(	(	PUNCT
ejpam-5640	115	5	u2,k)xxx	u2,k)xxx	PROPN
ejpam-5640	115	6	+	+	NUM
ejpam-5640	115	7	q1l	q1l	NOUN
ejpam-5640	115	8	−1	−1	NOUN
ejpam-5640	115	9	t	t	PROPN
ejpam-5640	115	10	(	(	PUNCT
ejpam-5640	115	11	u1,k)xxxx	u1,k)xxxx	PROPN
ejpam-5640	115	12	+	+	PUNCT
ejpam-5640	115	13	l−1	l−1	PROPN
ejpam-5640	115	14	t	t	NOUN
ejpam-5640	115	15	(	(	PUNCT
ejpam-5640	115	16	a2,k	a2,k	PROPN
ejpam-5640	115	17	)	)	PUNCT
ejpam-5640	115	18	,	,	PUNCT
ejpam-5640	115	19	(	(	PUNCT
ejpam-5640	115	20	26	26	NUM
ejpam-5640	115	21	)	)	PUNCT
ejpam-5640	115	22	while	while	SCONJ
ejpam-5640	115	23	that	that	PRON
ejpam-5640	115	24	of	of	ADP
ejpam-5640	115	25	the	the	DET
ejpam-5640	115	26	v	v	NOUN
ejpam-5640	115	27	(	(	PUNCT
ejpam-5640	115	28	x	x	PROPN
ejpam-5640	115	29	,	,	PUNCT
ejpam-5640	115	30	t	t	NOUN
ejpam-5640	115	31	)	)	PUNCT
ejpam-5640	115	32	solution	solution	NOUN
ejpam-5640	115	33	component	component	NOUN
ejpam-5640	115	34	as	as	SCONJ
ejpam-5640	115	35	follows	follow	VERB
ejpam-5640	115	36	v1,0	v1,0	PROPN
ejpam-5640	115	37	(	(	PUNCT
ejpam-5640	115	38	x	x	PROPN
ejpam-5640	115	39	,	,	PUNCT
ejpam-5640	115	40	t	t	PROPN
ejpam-5640	115	41	)	)	PUNCT
ejpam-5640	115	42	=	=	SYM
ejpam-5640	115	43	v1	v1	NOUN
ejpam-5640	115	44	(	(	PUNCT
ejpam-5640	115	45	x	x	X
ejpam-5640	115	46	,	,	PUNCT
ejpam-5640	115	47	0	0	NUM
ejpam-5640	115	48	)	)	PUNCT
ejpam-5640	115	49	,	,	PUNCT
ejpam-5640	115	50	(	(	PUNCT
ejpam-5640	115	51	27	27	NUM
ejpam-5640	115	52	)	)	PUNCT
ejpam-5640	115	53	v2,0	v2,0	NOUN
ejpam-5640	115	54	(	(	PUNCT
ejpam-5640	115	55	x	x	X
ejpam-5640	115	56	,	,	PUNCT
ejpam-5640	115	57	t	t	PROPN
ejpam-5640	115	58	)	)	PUNCT
ejpam-5640	115	59	=	=	SYM
ejpam-5640	116	1	v2	v2	INTJ
ejpam-5640	116	2	(	(	PUNCT
ejpam-5640	116	3	x	x	NOUN
ejpam-5640	116	4	,	,	PUNCT
ejpam-5640	116	5	0	0	NUM
ejpam-5640	116	6	)	)	PUNCT
ejpam-5640	116	7	,	,	PUNCT
ejpam-5640	116	8	(	(	PUNCT
ejpam-5640	116	9	28	28	NUM
ejpam-5640	116	10	)	)	PUNCT
ejpam-5640	116	11	v1,k+1	v1,k+1	INTJ
ejpam-5640	116	12	(	(	PUNCT
ejpam-5640	116	13	x	x	NOUN
ejpam-5640	116	14	,	,	PUNCT
ejpam-5640	116	15	t	t	PROPN
ejpam-5640	116	16	)	)	PUNCT
ejpam-5640	116	17	=	=	SYM
ejpam-5640	117	1	−p2l	−p2l	NUM
ejpam-5640	117	2	−1	−1	NOUN
ejpam-5640	117	3	t	t	NOUN
ejpam-5640	117	4	(	(	PUNCT
ejpam-5640	117	5	v1,k)xxx	v1,k)xxx	NUM
ejpam-5640	117	6	−	−	PROPN
ejpam-5640	117	7	q2l	q2l	PROPN
ejpam-5640	117	8	−1	−1	NOUN
ejpam-5640	117	9	t	t	PROPN
ejpam-5640	117	10	(	(	PUNCT
ejpam-5640	117	11	v2,k)xxxx	v2,k)xxxx	NOUN
ejpam-5640	117	12	−	−	PROPN
ejpam-5640	117	13	l−1	l−1	PROPN
ejpam-5640	117	14	t	t	PROPN
ejpam-5640	117	15	(	(	PUNCT
ejpam-5640	117	16	a1,k	a1,k	PROPN
ejpam-5640	117	17	)	)	PUNCT
ejpam-5640	117	18	,	,	PUNCT
ejpam-5640	117	19	(	(	PUNCT
ejpam-5640	117	20	29	29	NUM
ejpam-5640	117	21	)	)	PUNCT
ejpam-5640	117	22	v2,k+1	v2,k+1	X
ejpam-5640	117	23	(	(	PUNCT
ejpam-5640	117	24	x	x	NOUN
ejpam-5640	117	25	,	,	PUNCT
ejpam-5640	117	26	t	t	PROPN
ejpam-5640	117	27	)	)	PUNCT
ejpam-5640	117	28	=	=	SYM
ejpam-5640	118	1	−p2l	−p2l	NUM
ejpam-5640	118	2	−1	−1	NOUN
ejpam-5640	118	3	t	t	NOUN
ejpam-5640	118	4	(	(	PUNCT
ejpam-5640	118	5	v2,k)xxx	v2,k)xxx	NOUN
ejpam-5640	118	6	+	+	CCONJ
ejpam-5640	118	7	q2l	q2l	PROPN
ejpam-5640	118	8	−1	−1	PROPN
ejpam-5640	118	9	t	t	PROPN
ejpam-5640	118	10	(	(	PUNCT
ejpam-5640	118	11	v1,k)xxxx	v1,k)xxxx	PROPN
ejpam-5640	118	12	+	+	CCONJ
ejpam-5640	118	13	l−1	l−1	PROPN
ejpam-5640	118	14	t	t	NOUN
ejpam-5640	118	15	(	(	PUNCT
ejpam-5640	118	16	a2,k	a2,k	PROPN
ejpam-5640	118	17	)	)	PUNCT
ejpam-5640	118	18	,	,	PUNCT
ejpam-5640	118	19	(	(	PUNCT
ejpam-5640	118	20	30	30	NUM
ejpam-5640	118	21	)	)	PUNCT
ejpam-5640	118	22	where	where	SCONJ
ejpam-5640	118	23	a1,k	a1,k	PROPN
ejpam-5640	118	24	and	and	CCONJ
ejpam-5640	118	25	a2,k	a2,k	PROPN
ejpam-5640	118	26	are	be	AUX
ejpam-5640	118	27	the	the	DET
ejpam-5640	118	28	discovered	discover	VERB
ejpam-5640	118	29	adomian	adomian	NOUN
ejpam-5640	118	30	polynomials	polynomial	NOUN
ejpam-5640	118	31	,	,	PUNCT
ejpam-5640	118	32	which	which	PRON
ejpam-5640	118	33	are	be	AUX
ejpam-5640	118	34	to	to	PART
ejpam-5640	118	35	be	be	AUX
ejpam-5640	118	36	computationally	computationally	ADV
ejpam-5640	118	37	obtained	obtain	VERB
ejpam-5640	118	38	for	for	ADP
ejpam-5640	118	39	u	u	PROPN
ejpam-5640	118	40	(	(	PUNCT
ejpam-5640	118	41	x	x	PROPN
ejpam-5640	118	42	,	,	PUNCT
ejpam-5640	118	43	t	t	PROPN
ejpam-5640	118	44	)	)	PUNCT
ejpam-5640	118	45	component	component	NOUN
ejpam-5640	118	46	as	as	SCONJ
ejpam-5640	118	47	follows	follow	VERB
ejpam-5640	118	48	aj	aj	PROPN
ejpam-5640	118	49	,	,	PUNCT
ejpam-5640	118	50	n	n	NOUN
ejpam-5640	118	51	=	=	SYM
ejpam-5640	118	52	1	1	NUM
ejpam-5640	118	53	n	n	NOUN
ejpam-5640	118	54	!	!	PUNCT
ejpam-5640	119	1	dn	dn	PROPN
ejpam-5640	119	2	dλn	dλn	PROPN
ejpam-5640	119	3	nj	nj	PROPN
ejpam-5640	119	4	(	(	PUNCT
ejpam-5640	119	5	∞∑	∞∑	NUM
ejpam-5640	119	6	n=0	n=0	NUM
ejpam-5640	119	7	λnu1,n	λnu1,n	NOUN
ejpam-5640	119	8	(	(	PUNCT
ejpam-5640	119	9	x	x	X
ejpam-5640	119	10	,	,	PUNCT
ejpam-5640	119	11	t	t	PROPN
ejpam-5640	119	12	)	)	PUNCT
ejpam-5640	119	13	,	,	PUNCT
ejpam-5640	119	14	∞∑	∞∑	ADJ
ejpam-5640	119	15	n=0	n=0	NUM
ejpam-5640	119	16	λnu2,n	λnu2,n	ADJ
ejpam-5640	119	17	(	(	PUNCT
ejpam-5640	119	18	x	x	X
ejpam-5640	119	19	,	,	PUNCT
ejpam-5640	119	20	t	t	PROPN
ejpam-5640	119	21	)	)	PUNCT
ejpam-5640	119	22	)	)	PUNCT
ejpam-5640	119	23	,	,	PUNCT
ejpam-5640	119	24	while	while	SCONJ
ejpam-5640	119	25	that	that	PRON
ejpam-5640	119	26	of	of	ADP
ejpam-5640	119	27	v	v	NOUN
ejpam-5640	119	28	(	(	PUNCT
ejpam-5640	119	29	x	x	NOUN
ejpam-5640	119	30	,	,	PUNCT
ejpam-5640	119	31	t	t	PROPN
ejpam-5640	119	32	)	)	PUNCT
ejpam-5640	119	33	component	component	NOUN
ejpam-5640	119	34	via	via	ADP
ejpam-5640	119	35	the	the	DET
ejpam-5640	119	36	following	follow	VERB
ejpam-5640	119	37	compacted	compact	VERB
ejpam-5640	119	38	formula	formula	NOUN
ejpam-5640	119	39	aj	aj	PROPN
ejpam-5640	119	40	,	,	PUNCT
ejpam-5640	119	41	n	n	NOUN
ejpam-5640	119	42	=	=	SYM
ejpam-5640	119	43	1	1	NUM
ejpam-5640	119	44	n	n	NOUN
ejpam-5640	119	45	!	!	PUNCT
ejpam-5640	119	46	dn	dn	PROPN
ejpam-5640	119	47	dλn	dλn	PROPN
ejpam-5640	119	48	nj	nj	PROPN
ejpam-5640	119	49	(	(	PUNCT
ejpam-5640	119	50	∞∑	∞∑	PROPN
ejpam-5640	119	51	n=0	n=0	NUM
ejpam-5640	119	52	λnv1,n	λnv1,n	NOUN
ejpam-5640	119	53	(	(	PUNCT
ejpam-5640	119	54	x	x	X
ejpam-5640	119	55	,	,	PUNCT
ejpam-5640	119	56	t	t	PROPN
ejpam-5640	119	57	)	)	PUNCT
ejpam-5640	119	58	,	,	PUNCT
ejpam-5640	119	59	∞∑	∞∑	ADJ
ejpam-5640	119	60	n=0	n=0	PUNCT
ejpam-5640	119	61	λnv2,n	λnv2,n	NOUN
ejpam-5640	119	62	(	(	PUNCT
ejpam-5640	119	63	x	x	NOUN
ejpam-5640	119	64	,	,	PUNCT
ejpam-5640	119	65	t	t	PROPN
ejpam-5640	119	66	)	)	PUNCT
ejpam-5640	119	67	)	)	PUNCT
ejpam-5640	119	68	.	.	PUNCT
ejpam-5640	120	1	lastly	lastly	ADV
ejpam-5640	120	2	,	,	PUNCT
ejpam-5640	120	3	the	the	DET
ejpam-5640	120	4	derived	derive	VERB
ejpam-5640	120	5	generalized	generalize	VERB
ejpam-5640	120	6	recurrent	recurrent	ADJ
ejpam-5640	120	7	scheme	scheme	NOUN
ejpam-5640	120	8	eqs	eqs	X
ejpam-5640	120	9	.	.	PUNCT
ejpam-5640	120	10	(	(	PUNCT
ejpam-5640	120	11	23)-(30	23)-(30	NUM
ejpam-5640	120	12	)	)	PUNCT
ejpam-5640	120	13	for	for	ADP
ejpam-5640	120	14	the	the	DET
ejpam-5640	120	15	governing	governing	NOUN
ejpam-5640	120	16	coupled	couple	VERB
ejpam-5640	120	17	cq	cq	PROPN
ejpam-5640	120	18	nlse	nlse	PROPN
ejpam-5640	120	19	eqs	eqs	PROPN
ejpam-5640	120	20	.	.	PUNCT
ejpam-5640	120	21	(	(	PUNCT
ejpam-5640	120	22	2)-(3	2)-(3	NOUN
ejpam-5640	120	23	)	)	PUNCT
ejpam-5640	120	24	in	in	ADP
ejpam-5640	120	25	fbs	fbs	PROPN
ejpam-5640	120	26	via	via	ADP
ejpam-5640	120	27	the	the	DET
ejpam-5640	120	28	use	use	NOUN
ejpam-5640	120	29	of	of	ADP
ejpam-5640	120	30	the	the	DET
ejpam-5640	120	31	iadm	iadm	NOUN
ejpam-5640	120	32	will	will	AUX
ejpam-5640	120	33	be	be	AUX
ejpam-5640	120	34	numerically	numerically	ADV
ejpam-5640	120	35	simulated	simulate	VERB
ejpam-5640	120	36	in	in	ADP
ejpam-5640	120	37	the	the	DET
ejpam-5640	120	38	subsequent	subsequent	ADJ
ejpam-5640	120	39	section	section	NOUN
ejpam-5640	120	40	,	,	PUNCT
ejpam-5640	120	41	alongside	alongside	ADP
ejpam-5640	120	42	deploying	deploy	VERB
ejpam-5640	120	43	some	some	DET
ejpam-5640	120	44	known	know	VERB
ejpam-5640	120	45	exact	exact	ADJ
ejpam-5640	120	46	analytical	analytical	ADJ
ejpam-5640	120	47	structures	structure	NOUN
ejpam-5640	120	48	for	for	ADP
ejpam-5640	120	49	justification	justification	NOUN
ejpam-5640	120	50	.	.	PUNCT
ejpam-5640	121	1	a.	a.	NOUN
ejpam-5640	121	2	m.	m.	NOUN
ejpam-5640	121	3	almalki	almalki	ADP
ejpam-5640	121	4	et	et	PROPN
ejpam-5640	121	5	al	al	PROPN
ejpam-5640	121	6	.	.	PUNCT
ejpam-5640	121	7	/	/	SYM
ejpam-5640	121	8	eur	eur	PROPN
ejpam-5640	121	9	.	.	PUNCT
ejpam-5640	122	1	j.	j.	PROPN
ejpam-5640	122	2	pure	pure	PROPN
ejpam-5640	122	3	appl	appl	PROPN
ejpam-5640	122	4	.	.	PROPN
ejpam-5640	122	5	math	math	PROPN
ejpam-5640	122	6	,	,	PUNCT
ejpam-5640	122	7	18	18	NUM
ejpam-5640	122	8	(	(	PUNCT
ejpam-5640	122	9	1	1	NUM
ejpam-5640	122	10	)	)	PUNCT
ejpam-5640	122	11	(	(	PUNCT
ejpam-5640	122	12	2025	2025	NUM
ejpam-5640	122	13	)	)	PUNCT
ejpam-5640	122	14	,	,	PUNCT
ejpam-5640	122	15	5640	5640	NUM
ejpam-5640	122	16	7	7	NUM
ejpam-5640	122	17	of	of	ADP
ejpam-5640	122	18	16	16	NUM
ejpam-5640	122	19	4	4	NUM
ejpam-5640	122	20	.	.	PUNCT
ejpam-5640	122	21	adopted	adopt	VERB
ejpam-5640	122	22	exact	exact	ADJ
ejpam-5640	122	23	solitonic	solitonic	ADJ
ejpam-5640	122	24	expressions	expression	NOUN
ejpam-5640	122	25	in	in	ADP
ejpam-5640	122	26	light	light	NOUN
ejpam-5640	122	27	of	of	ADP
ejpam-5640	122	28	the	the	DET
ejpam-5640	122	29	significant	significant	ADJ
ejpam-5640	122	30	technological	technological	ADJ
ejpam-5640	122	31	relevance	relevance	NOUN
ejpam-5640	122	32	of	of	ADP
ejpam-5640	122	33	the	the	DET
ejpam-5640	122	34	nlse	nlse	NOUN
ejpam-5640	122	35	[	[	X
ejpam-5640	122	36	33	33	NUM
ejpam-5640	122	37	,	,	PUNCT
ejpam-5640	122	38	34	34	NUM
ejpam-5640	122	39	]	]	PUNCT
ejpam-5640	122	40	with	with	ADP
ejpam-5640	122	41	cubicquartic	cubicquartic	ADJ
ejpam-5640	122	42	nonlinearity	nonlinearity	NOUN
ejpam-5640	122	43	not	not	PART
ejpam-5640	122	44	only	only	ADV
ejpam-5640	122	45	in	in	ADP
ejpam-5640	122	46	polarization	polarization	NOUN
ejpam-5640	122	47	-	-	PUNCT
ejpam-5640	122	48	preserving	preserve	VERB
ejpam-5640	122	49	fibers	fiber	NOUN
ejpam-5640	122	50	but	but	CCONJ
ejpam-5640	122	51	also	also	ADV
ejpam-5640	122	52	in	in	ADP
ejpam-5640	122	53	birefringent	birefringent	NOUN
ejpam-5640	122	54	fibers	fiber	NOUN
ejpam-5640	122	55	,	,	PUNCT
ejpam-5640	122	56	which	which	PRON
ejpam-5640	122	57	present	present	VERB
ejpam-5640	122	58	a	a	DET
ejpam-5640	122	59	more	more	ADV
ejpam-5640	122	60	complex	complex	ADJ
ejpam-5640	122	61	scenario	scenario	NOUN
ejpam-5640	122	62	various	various	ADJ
ejpam-5640	122	63	researchers	researcher	NOUN
ejpam-5640	122	64	have	have	AUX
ejpam-5640	122	65	proposed	propose	VERB
ejpam-5640	122	66	different	different	ADJ
ejpam-5640	122	67	sets	set	NOUN
ejpam-5640	122	68	of	of	ADP
ejpam-5640	122	69	optical	optical	ADJ
ejpam-5640	122	70	solutions	solution	NOUN
ejpam-5640	122	71	using	use	VERB
ejpam-5640	122	72	analytical	analytical	ADJ
ejpam-5640	122	73	techniques	technique	NOUN
ejpam-5640	122	74	to	to	PART
ejpam-5640	122	75	enhance	enhance	VERB
ejpam-5640	122	76	the	the	DET
ejpam-5640	122	77	efficiency	efficiency	NOUN
ejpam-5640	122	78	of	of	ADP
ejpam-5640	122	79	optical	optical	ADJ
ejpam-5640	122	80	signal	signal	NOUN
ejpam-5640	122	81	processes	process	NOUN
ejpam-5640	122	82	.	.	PUNCT
ejpam-5640	123	1	notably	notably	ADV
ejpam-5640	123	2	,	,	PUNCT
ejpam-5640	123	3	the	the	DET
ejpam-5640	123	4	recent	recent	ADJ
ejpam-5640	123	5	study	study	NOUN
ejpam-5640	123	6	by	by	ADP
ejpam-5640	123	7	uddin	uddin	PROPN
ejpam-5640	123	8	and	and	CCONJ
ejpam-5640	123	9	hafez	hafez	VERB
ejpam-5640	124	1	[	[	X
ejpam-5640	124	2	27	27	NUM
ejpam-5640	124	3	]	]	PUNCT
ejpam-5640	124	4	utilized	utilize	VERB
ejpam-5640	124	5	the	the	DET
ejpam-5640	124	6	promising	promising	ADJ
ejpam-5640	124	7	extended	extend	VERB
ejpam-5640	124	8	direct	direct	ADJ
ejpam-5640	124	9	algebraic	algebraic	ADJ
ejpam-5640	124	10	method	method	NOUN
ejpam-5640	124	11	(	(	PUNCT
ejpam-5640	124	12	edam	edam	NOUN
ejpam-5640	124	13	)	)	PUNCT
ejpam-5640	124	14	to	to	PART
ejpam-5640	124	15	derive	derive	VERB
ejpam-5640	124	16	various	various	ADJ
ejpam-5640	124	17	exact	exact	ADJ
ejpam-5640	124	18	optical	optical	ADJ
ejpam-5640	124	19	solitons	soliton	NOUN
ejpam-5640	124	20	for	for	ADP
ejpam-5640	124	21	the	the	DET
ejpam-5640	124	22	governing	govern	VERB
ejpam-5640	124	23	model	model	NOUN
ejpam-5640	124	24	.	.	PUNCT
ejpam-5640	125	1	this	this	DET
ejpam-5640	125	2	method	method	NOUN
ejpam-5640	125	3	effectively	effectively	ADV
ejpam-5640	125	4	recasts	recast	VERB
ejpam-5640	125	5	the	the	DET
ejpam-5640	125	6	governing	govern	VERB
ejpam-5640	125	7	nlse	nlse	NOUN
ejpam-5640	125	8	into	into	ADP
ejpam-5640	125	9	a	a	DET
ejpam-5640	125	10	corresponding	correspond	VERB
ejpam-5640	125	11	ordinary	ordinary	ADJ
ejpam-5640	125	12	differential	differential	ADJ
ejpam-5640	125	13	equation	equation	NOUN
ejpam-5640	125	14	(	(	PUNCT
ejpam-5640	125	15	ode	ode	PROPN
ejpam-5640	125	16	)	)	PUNCT
ejpam-5640	125	17	,	,	PUNCT
ejpam-5640	125	18	leading	lead	VERB
ejpam-5640	125	19	to	to	ADP
ejpam-5640	125	20	a	a	DET
ejpam-5640	125	21	system	system	NOUN
ejpam-5640	125	22	of	of	ADP
ejpam-5640	125	23	algebraic	algebraic	ADJ
ejpam-5640	125	24	equations	equation	NOUN
ejpam-5640	125	25	.	.	PUNCT
ejpam-5640	126	1	consequently	consequently	ADV
ejpam-5640	126	2	,	,	PUNCT
ejpam-5640	126	3	some	some	PRON
ejpam-5640	126	4	of	of	ADP
ejpam-5640	126	5	the	the	DET
ejpam-5640	126	6	exact	exact	ADJ
ejpam-5640	126	7	optical	optical	ADJ
ejpam-5640	126	8	expressions	expression	NOUN
ejpam-5640	126	9	presented	present	VERB
ejpam-5640	126	10	by	by	ADP
ejpam-5640	126	11	uddin	uddin	PROPN
ejpam-5640	126	12	and	and	CCONJ
ejpam-5640	126	13	hafez	hafez	PROPN
ejpam-5640	126	14	[	[	X
ejpam-5640	126	15	27	27	NUM
ejpam-5640	126	16	]	]	PUNCT
ejpam-5640	126	17	are	be	AUX
ejpam-5640	126	18	adopted	adopt	VERB
ejpam-5640	126	19	in	in	ADP
ejpam-5640	126	20	the	the	DET
ejpam-5640	126	21	present	present	ADJ
ejpam-5640	126	22	study	study	NOUN
ejpam-5640	126	23	as	as	ADP
ejpam-5640	126	24	benchmark	benchmark	ADJ
ejpam-5640	126	25	analytical	analytical	ADJ
ejpam-5640	126	26	solutions	solution	NOUN
ejpam-5640	126	27	,	,	PUNCT
ejpam-5640	126	28	as	as	SCONJ
ejpam-5640	126	29	follows	follow	VERB
ejpam-5640	126	30	:	:	PUNCT
ejpam-5640	126	31	bright	bright	ADJ
ejpam-5640	126	32	soliton	soliton	NOUN
ejpam-5640	126	33	through	through	ADP
ejpam-5640	126	34	the	the	DET
ejpam-5640	126	35	application	application	NOUN
ejpam-5640	126	36	of	of	ADP
ejpam-5640	126	37	the	the	DET
ejpam-5640	126	38	beseeched	beseeched	ADJ
ejpam-5640	126	39	edam	edam	NOUN
ejpam-5640	126	40	,	,	PUNCT
ejpam-5640	126	41	uddin	uddin	ADJ
ejpam-5640	126	42	and	and	CCONJ
ejpam-5640	126	43	hafez	hafez	PROPN
ejpam-5640	127	1	[	[	X
ejpam-5640	127	2	27	27	NUM
ejpam-5640	127	3	]	]	PUNCT
ejpam-5640	127	4	were	be	AUX
ejpam-5640	127	5	able	able	ADJ
ejpam-5640	127	6	to	to	PART
ejpam-5640	127	7	construct	construct	VERB
ejpam-5640	127	8	the	the	DET
ejpam-5640	127	9	bright	bright	ADJ
ejpam-5640	127	10	soliton	soliton	NOUN
ejpam-5640	127	11	expressions	expression	NOUN
ejpam-5640	127	12	for	for	ADP
ejpam-5640	127	13	the	the	DET
ejpam-5640	127	14	governing	governing	NOUN
ejpam-5640	127	15	cq	cq	ADP
ejpam-5640	127	16	nlse	nlse	NOUN
ejpam-5640	127	17	as	as	SCONJ
ejpam-5640	127	18	follows	follow	VERB
ejpam-5640	127	19	u(x	u(x	NOUN
ejpam-5640	127	20	,	,	PUNCT
ejpam-5640	127	21	t	t	NOUN
ejpam-5640	127	22	)	)	PUNCT
ejpam-5640	128	1	=	=	PUNCT
ejpam-5640	128	2	3φ	3φ	NOUN
ejpam-5640	128	3	2	2	NUM
ejpam-5640	128	4	(	(	PUNCT
ejpam-5640	128	5	lna)2	lna)2	PROPN
ejpam-5640	128	6	√	√	PUNCT
ejpam-5640	128	7	−10kp1	−10kp1	PROPN
ejpam-5640	128	8	y2h1	y2h1	PROPN
ejpam-5640	128	9	{	{	PUNCT
ejpam-5640	128	10	1−	1−	NUM
ejpam-5640	128	11	[	[	PUNCT
ejpam-5640	128	12	tanha	tanha	NOUN
ejpam-5640	128	13	(	(	PUNCT
ejpam-5640	128	14	√	√	NUM
ejpam-5640	128	15	φξj	φξj	NOUN
ejpam-5640	128	16	)	)	PUNCT
ejpam-5640	129	1	+	+	CCONJ
ejpam-5640	130	1	i	i	PRON
ejpam-5640	130	2	√	√	VERB
ejpam-5640	130	3	mn	mn	PROPN
ejpam-5640	130	4	secha	secha	NOUN
ejpam-5640	130	5	(	(	PUNCT
ejpam-5640	130	6	√	√	NUM
ejpam-5640	130	7	φξj	φξj	NOUN
ejpam-5640	130	8	)	)	PUNCT
ejpam-5640	130	9	]	]	PUNCT
ejpam-5640	130	10	2	2	X
ejpam-5640	130	11	}	}	PUNCT
ejpam-5640	130	12	eiθj	eiθj	NOUN
ejpam-5640	130	13	,	,	PUNCT
ejpam-5640	130	14	v(x	v(x	PROPN
ejpam-5640	130	15	,	,	PUNCT
ejpam-5640	130	16	t	t	PROPN
ejpam-5640	130	17	)	)	PUNCT
ejpam-5640	130	18	=	=	SYM
ejpam-5640	131	1	3πφ	3πφ	NOUN
ejpam-5640	131	2	2	2	NUM
ejpam-5640	131	3	(	(	PUNCT
ejpam-5640	131	4	lna)2	lna)2	PROPN
ejpam-5640	131	5	√	√	PUNCT
ejpam-5640	131	6	−10kp1	−10kp1	PROPN
ejpam-5640	131	7	y2h1	y2h1	PROPN
ejpam-5640	131	8	{	{	PUNCT
ejpam-5640	131	9	1−	1−	NUM
ejpam-5640	131	10	[	[	PUNCT
ejpam-5640	131	11	tanha	tanha	NOUN
ejpam-5640	131	12	(	(	PUNCT
ejpam-5640	131	13	√	√	NUM
ejpam-5640	131	14	φξj	φξj	NOUN
ejpam-5640	131	15	)	)	PUNCT
ejpam-5640	132	1	+	+	CCONJ
ejpam-5640	133	1	i	i	PRON
ejpam-5640	133	2	√	√	VERB
ejpam-5640	133	3	mn	mn	PROPN
ejpam-5640	133	4	secha	secha	NOUN
ejpam-5640	133	5	(	(	PUNCT
ejpam-5640	133	6	√	√	NUM
ejpam-5640	133	7	φξj	φξj	NOUN
ejpam-5640	133	8	)	)	PUNCT
ejpam-5640	133	9	]	]	PUNCT
ejpam-5640	133	10	2	2	X
ejpam-5640	133	11	}	}	PUNCT
ejpam-5640	133	12	eiθj	eiθj	NOUN
ejpam-5640	133	13	.	.	PUNCT
ejpam-5640	134	1			PRON
ejpam-5640	134	2	(	(	PUNCT
ejpam-5640	134	3	31	31	NUM
ejpam-5640	134	4	)	)	PUNCT
ejpam-5640	134	5	u(x	u(x	PROPN
ejpam-5640	134	6	,	,	PUNCT
ejpam-5640	134	7	t	t	NOUN
ejpam-5640	134	8	)	)	PUNCT
ejpam-5640	134	9	=	=	SYM
ejpam-5640	135	1	−3φ	−3φ	PROPN
ejpam-5640	135	2	2	2	NUM
ejpam-5640	135	3	(	(	PUNCT
ejpam-5640	135	4	lna)2	lna)2	PROPN
ejpam-5640	135	5	√	√	PUNCT
ejpam-5640	135	6	−10kp1	−10kp1	PROPN
ejpam-5640	135	7	y2h1	y2h1	PROPN
ejpam-5640	135	8	{	{	PUNCT
ejpam-5640	135	9	1−	1−	NUM
ejpam-5640	135	10	[	[	PUNCT
ejpam-5640	135	11	tanha	tanha	NOUN
ejpam-5640	135	12	(	(	PUNCT
ejpam-5640	135	13	√	√	NUM
ejpam-5640	135	14	φξj	φξj	NOUN
ejpam-5640	135	15	)	)	PUNCT
ejpam-5640	135	16	−	−	PROPN
ejpam-5640	136	1	i	i	PRON
ejpam-5640	136	2	√	√	PROPN
ejpam-5640	136	3	mn	mn	PROPN
ejpam-5640	136	4	secha	secha	NOUN
ejpam-5640	136	5	(	(	PUNCT
ejpam-5640	136	6	√	√	NUM
ejpam-5640	136	7	φξj	φξj	NOUN
ejpam-5640	136	8	)	)	PUNCT
ejpam-5640	136	9	]	]	PUNCT
ejpam-5640	136	10	2	2	X
ejpam-5640	136	11	}	}	PUNCT
ejpam-5640	136	12	eiθj	eiθj	NOUN
ejpam-5640	136	13	,	,	PUNCT
ejpam-5640	136	14	v(x	v(x	PROPN
ejpam-5640	136	15	,	,	PUNCT
ejpam-5640	136	16	t	t	PROPN
ejpam-5640	136	17	)	)	PUNCT
ejpam-5640	136	18	=	=	PUNCT
ejpam-5640	137	1	−3πφ	−3πφ	ADP
ejpam-5640	137	2	2	2	NUM
ejpam-5640	137	3	(	(	PUNCT
ejpam-5640	137	4	lna)2	lna)2	PROPN
ejpam-5640	137	5	√	√	PUNCT
ejpam-5640	137	6	−10kp1	−10kp1	PROPN
ejpam-5640	137	7	y2h1	y2h1	PROPN
ejpam-5640	137	8	{	{	PUNCT
ejpam-5640	137	9	1−	1−	NUM
ejpam-5640	137	10	[	[	PUNCT
ejpam-5640	137	11	tanha	tanha	NOUN
ejpam-5640	137	12	(	(	PUNCT
ejpam-5640	137	13	√	√	NUM
ejpam-5640	137	14	φξj	φξj	NOUN
ejpam-5640	137	15	)	)	PUNCT
ejpam-5640	137	16	−	−	PROPN
ejpam-5640	138	1	i	i	PRON
ejpam-5640	138	2	√	√	PROPN
ejpam-5640	138	3	mn	mn	PROPN
ejpam-5640	138	4	secha	secha	NOUN
ejpam-5640	138	5	(	(	PUNCT
ejpam-5640	138	6	√	√	NUM
ejpam-5640	138	7	φξj	φξj	NOUN
ejpam-5640	138	8	)	)	PUNCT
ejpam-5640	138	9	]	]	PUNCT
ejpam-5640	138	10	2	2	X
ejpam-5640	138	11	}	}	PUNCT
ejpam-5640	138	12	eiθj	eiθj	NOUN
ejpam-5640	138	13	.	.	PUNCT
ejpam-5640	139	1			PRON
ejpam-5640	139	2	(	(	PUNCT
ejpam-5640	139	3	32	32	NUM
ejpam-5640	139	4	)	)	PUNCT
ejpam-5640	139	5	u(x	u(x	NOUN
ejpam-5640	139	6	,	,	PUNCT
ejpam-5640	139	7	t	t	NOUN
ejpam-5640	139	8	)	)	PUNCT
ejpam-5640	139	9	=	=	SYM
ejpam-5640	140	1	−3φ	−3φ	PROPN
ejpam-5640	140	2	2	2	NUM
ejpam-5640	140	3	(	(	PUNCT
ejpam-5640	140	4	lna)2	lna)2	PROPN
ejpam-5640	140	5	√	√	PUNCT
ejpam-5640	140	6	−10kp1	−10kp1	PROPN
ejpam-5640	140	7	y2h1	y2h1	PROPN
ejpam-5640	140	8	{	{	PUNCT
ejpam-5640	140	9	1−	1−	NUM
ejpam-5640	140	10	[	[	PUNCT
ejpam-5640	140	11	cotha	cotha	X
ejpam-5640	140	12	(	(	PUNCT
ejpam-5640	140	13	√	√	NUM
ejpam-5640	140	14	φξj	φξj	NOUN
ejpam-5640	140	15	)	)	PUNCT
ejpam-5640	140	16	−	−	PROPN
ejpam-5640	140	17	√	√	PROPN
ejpam-5640	140	18	mn	mn	PROPN
ejpam-5640	140	19	cscha	cscha	PROPN
ejpam-5640	140	20	(	(	PUNCT
ejpam-5640	140	21	√	√	NUM
ejpam-5640	140	22	φξj	φξj	NOUN
ejpam-5640	140	23	)	)	PUNCT
ejpam-5640	140	24	]	]	PUNCT
ejpam-5640	140	25	2	2	X
ejpam-5640	140	26	}	}	PUNCT
ejpam-5640	140	27	eiθj	eiθj	NOUN
ejpam-5640	140	28	,	,	PUNCT
ejpam-5640	140	29	v(x	v(x	PROPN
ejpam-5640	140	30	,	,	PUNCT
ejpam-5640	140	31	t	t	PROPN
ejpam-5640	140	32	)	)	PUNCT
ejpam-5640	140	33	=	=	PUNCT
ejpam-5640	141	1	−3πφ	−3πφ	ADP
ejpam-5640	141	2	2	2	NUM
ejpam-5640	141	3	(	(	PUNCT
ejpam-5640	141	4	lna)2	lna)2	PROPN
ejpam-5640	141	5	√	√	PUNCT
ejpam-5640	141	6	−10kp1	−10kp1	PROPN
ejpam-5640	141	7	y2h1	y2h1	PROPN
ejpam-5640	141	8	{	{	PUNCT
ejpam-5640	141	9	1−	1−	NUM
ejpam-5640	141	10	[	[	PUNCT
ejpam-5640	141	11	cotha	cotha	X
ejpam-5640	141	12	(	(	PUNCT
ejpam-5640	141	13	√	√	NUM
ejpam-5640	141	14	φξj	φξj	NOUN
ejpam-5640	141	15	)	)	PUNCT
ejpam-5640	141	16	−	−	PROPN
ejpam-5640	141	17	√	√	PROPN
ejpam-5640	141	18	mn	mn	PROPN
ejpam-5640	141	19	cscha	cscha	PROPN
ejpam-5640	141	20	(	(	PUNCT
ejpam-5640	141	21	√	√	NUM
ejpam-5640	141	22	φξj	φξj	NOUN
ejpam-5640	141	23	)	)	PUNCT
ejpam-5640	141	24	]	]	PUNCT
ejpam-5640	141	25	2	2	X
ejpam-5640	141	26	}	}	PUNCT
ejpam-5640	141	27	eiθj	eiθj	NOUN
ejpam-5640	141	28	.	.	PUNCT
ejpam-5640	142	1			PRON
ejpam-5640	142	2	(	(	PUNCT
ejpam-5640	142	3	33	33	NUM
ejpam-5640	142	4	)	)	PUNCT
ejpam-5640	142	5	moreover	moreover	ADV
ejpam-5640	142	6	,	,	PUNCT
ejpam-5640	142	7	from	from	ADP
ejpam-5640	142	8	the	the	DET
ejpam-5640	142	9	latter	latter	ADJ
ejpam-5640	142	10	exact	exact	ADJ
ejpam-5640	142	11	solitonic	solitonic	ADJ
ejpam-5640	142	12	expressions	expression	NOUN
ejpam-5640	142	13	,	,	PUNCT
ejpam-5640	142	14	φ	φ	X
ejpam-5640	142	15	>	>	X
ejpam-5640	142	16	0	0	PROPN
ejpam-5640	142	17	and	and	CCONJ
ejpam-5640	142	18	σ	σ	NUM
ejpam-5640	142	19	̸=	̸=	PROPN
ejpam-5640	142	20	0	0	NUM
ejpam-5640	142	21	;	;	PUNCT
ejpam-5640	142	22	while	while	SCONJ
ejpam-5640	142	23	the	the	DET
ejpam-5640	142	24	transformation	transformation	NOUN
ejpam-5640	142	25	for	for	ADP
ejpam-5640	142	26	ξj	ξj	NOUN
ejpam-5640	142	27	and	and	CCONJ
ejpam-5640	142	28	θj	θj	ADV
ejpam-5640	142	29	for	for	ADP
ejpam-5640	142	30	j	j	PROPN
ejpam-5640	142	31	=	=	PUNCT
ejpam-5640	142	32	{	{	PUNCT
ejpam-5640	142	33	b	b	PROPN
ejpam-5640	142	34	,	,	PUNCT
ejpam-5640	142	35	l	l	NOUN
ejpam-5640	142	36	}	}	PUNCT
ejpam-5640	142	37	were	be	AUX
ejpam-5640	142	38	previously	previously	ADV
ejpam-5640	142	39	stated	state	VERB
ejpam-5640	142	40	.	.	PUNCT
ejpam-5640	143	1	in	in	ADP
ejpam-5640	143	2	addition	addition	NOUN
ejpam-5640	143	3	,	,	PUNCT
ejpam-5640	143	4	for	for	ADP
ejpam-5640	143	5	the	the	DET
ejpam-5640	143	6	full	full	ADJ
ejpam-5640	143	7	implementation	implementation	NOUN
ejpam-5640	143	8	of	of	ADP
ejpam-5640	143	9	the	the	DET
ejpam-5640	143	10	analytical	analytical	NOUN
ejpam-5640	143	11	,	,	PUNCT
ejpam-5640	143	12	and	and	CCONJ
ejpam-5640	143	13	the	the	DET
ejpam-5640	143	14	governing	govern	VERB
ejpam-5640	143	15	constraint	constraint	NOUN
ejpam-5640	143	16	conditions	condition	NOUN
ejpam-5640	143	17	,	,	PUNCT
ejpam-5640	143	18	interested	interested	ADJ
ejpam-5640	143	19	reader(s	reader(s	NOUN
ejpam-5640	143	20	)	)	PUNCT
ejpam-5640	143	21	is	be	AUX
ejpam-5640	143	22	referred	refer	VERB
ejpam-5640	143	23	to	to	ADP
ejpam-5640	143	24	the	the	DET
ejpam-5640	143	25	good	good	ADJ
ejpam-5640	143	26	work	work	NOUN
ejpam-5640	143	27	of	of	ADP
ejpam-5640	143	28	uddin	uddin	PROPN
ejpam-5640	143	29	and	and	CCONJ
ejpam-5640	143	30	hafez	hafez	VERB
ejpam-5640	144	1	[	[	X
ejpam-5640	144	2	27	27	NUM
ejpam-5640	144	3	]	]	PUNCT
ejpam-5640	144	4	.	.	PUNCT
ejpam-5640	145	1	in	in	ADP
ejpam-5640	145	2	the	the	DET
ejpam-5640	145	3	same	same	ADJ
ejpam-5640	145	4	vein	vein	NOUN
ejpam-5640	145	5	,	,	PUNCT
ejpam-5640	145	6	one	one	PRON
ejpam-5640	145	7	may	may	AUX
ejpam-5640	145	8	equally	equally	ADV
ejpam-5640	145	9	get	get	VERB
ejpam-5640	145	10	the	the	DET
ejpam-5640	145	11	explicit	explicit	ADJ
ejpam-5640	145	12	expressions	expression	NOUN
ejpam-5640	145	13	for	for	ADP
ejpam-5640	145	14	all	all	DET
ejpam-5640	145	15	the	the	DET
ejpam-5640	145	16	constraints	constraint	NOUN
ejpam-5640	145	17	conditions	condition	NOUN
ejpam-5640	145	18	,	,	PUNCT
ejpam-5640	145	19	ensuring	ensure	VERB
ejpam-5640	145	20	the	the	DET
ejpam-5640	145	21	existence	existence	NOUN
ejpam-5640	145	22	for	for	ADP
ejpam-5640	145	23	valid	valid	ADJ
ejpam-5640	145	24	solitonic	solitonic	ADJ
ejpam-5640	145	25	expression	expression	NOUN
ejpam-5640	145	26	in	in	ADP
ejpam-5640	145	27	the	the	DET
ejpam-5640	145	28	same	same	ADJ
ejpam-5640	145	29	reference	reference	NOUN
ejpam-5640	145	30	[	[	X
ejpam-5640	145	31	27	27	NUM
ejpam-5640	145	32	]	]	PUNCT
ejpam-5640	145	33	.	.	PUNCT
ejpam-5640	146	1	a.	a.	PROPN
ejpam-5640	146	2	m.	m.	NOUN
ejpam-5640	146	3	almalki	almalki	ADP
ejpam-5640	146	4	et	et	PROPN
ejpam-5640	146	5	al	al	PROPN
ejpam-5640	146	6	.	.	PUNCT
ejpam-5640	146	7	/	/	SYM
ejpam-5640	146	8	eur	eur	PROPN
ejpam-5640	146	9	.	.	PUNCT
ejpam-5640	147	1	j.	j.	PROPN
ejpam-5640	147	2	pure	pure	PROPN
ejpam-5640	147	3	appl	appl	PROPN
ejpam-5640	147	4	.	.	PROPN
ejpam-5640	147	5	math	math	PROPN
ejpam-5640	147	6	,	,	PUNCT
ejpam-5640	147	7	18	18	NUM
ejpam-5640	147	8	(	(	PUNCT
ejpam-5640	147	9	1	1	NUM
ejpam-5640	147	10	)	)	PUNCT
ejpam-5640	147	11	(	(	PUNCT
ejpam-5640	147	12	2025	2025	NUM
ejpam-5640	147	13	)	)	PUNCT
ejpam-5640	147	14	,	,	PUNCT
ejpam-5640	147	15	5640	5640	NUM
ejpam-5640	147	16	8	8	NUM
ejpam-5640	147	17	of	of	ADP
ejpam-5640	147	18	16	16	NUM
ejpam-5640	147	19	5	5	NUM
ejpam-5640	147	20	.	.	PUNCT
ejpam-5640	147	21	results	result	NOUN
ejpam-5640	147	22	of	of	ADP
ejpam-5640	147	23	numerical	numerical	ADJ
ejpam-5640	147	24	analysis	analysis	NOUN
ejpam-5640	147	25	this	this	DET
ejpam-5640	147	26	section	section	NOUN
ejpam-5640	147	27	presents	present	VERB
ejpam-5640	147	28	the	the	DET
ejpam-5640	147	29	numerical	numerical	ADJ
ejpam-5640	147	30	simulation	simulation	NOUN
ejpam-5640	147	31	of	of	ADP
ejpam-5640	147	32	the	the	DET
ejpam-5640	147	33	derived	derive	VERB
ejpam-5640	147	34	cq	cq	ADP
ejpam-5640	147	35	nlse	nlse	ADJ
ejpam-5640	147	36	scheme	scheme	NOUN
ejpam-5640	147	37	using	use	VERB
ejpam-5640	147	38	the	the	DET
ejpam-5640	147	39	adopted	adopt	VERB
ejpam-5640	147	40	iadm	iadm	NOUN
ejpam-5640	147	41	.	.	PUNCT
ejpam-5640	148	1	furthermore	furthermore	ADV
ejpam-5640	148	2	,	,	PUNCT
ejpam-5640	148	3	the	the	DET
ejpam-5640	148	4	benchmark	benchmark	ADJ
ejpam-5640	148	5	analytical	analytical	ADJ
ejpam-5640	148	6	solutions	solution	NOUN
ejpam-5640	148	7	referenced	reference	VERB
ejpam-5640	148	8	in	in	ADP
ejpam-5640	148	9	eqs	eqs	PROPN
ejpam-5640	148	10	.	.	PUNCT
ejpam-5640	149	1	(	(	PUNCT
ejpam-5640	149	2	31)-(33	31)-(33	NUM
ejpam-5640	149	3	)	)	PUNCT
ejpam-5640	149	4	will	will	AUX
ejpam-5640	149	5	be	be	AUX
ejpam-5640	149	6	used	use	VERB
ejpam-5640	149	7	to	to	PART
ejpam-5640	149	8	assess	assess	VERB
ejpam-5640	149	9	the	the	DET
ejpam-5640	149	10	accuracy	accuracy	NOUN
ejpam-5640	149	11	of	of	ADP
ejpam-5640	149	12	the	the	DET
ejpam-5640	149	13	proposed	propose	VERB
ejpam-5640	149	14	scheme	scheme	NOUN
ejpam-5640	149	15	.	.	PUNCT
ejpam-5640	150	1	certainly	certainly	ADV
ejpam-5640	150	2	,	,	PUNCT
ejpam-5640	150	3	one	one	PRON
ejpam-5640	150	4	automatically	automatically	ADV
ejpam-5640	150	5	obtains	obtain	VERB
ejpam-5640	150	6	the	the	DET
ejpam-5640	150	7	corresponding	corresponding	ADJ
ejpam-5640	150	8	initial	initial	ADJ
ejpam-5640	150	9	conditions	condition	NOUN
ejpam-5640	150	10	from	from	ADP
ejpam-5640	150	11	eqs	eqs	PROPN
ejpam-5640	150	12	.	.	PUNCT
ejpam-5640	151	1	(	(	PUNCT
ejpam-5640	151	2	31)-(33	31)-(33	NUM
ejpam-5640	151	3	)	)	PUNCT
ejpam-5640	151	4	at	at	ADP
ejpam-5640	151	5	t	t	PROPN
ejpam-5640	151	6	=	=	SYM
ejpam-5640	151	7	0	0	NUM
ejpam-5640	151	8	;	;	PUNCT
ejpam-5640	151	9	together	together	ADV
ejpam-5640	151	10	with	with	ADP
ejpam-5640	151	11	the	the	DET
ejpam-5640	151	12	related	related	ADJ
ejpam-5640	151	13	boundary	boundary	ADJ
ejpam-5640	151	14	conditions	condition	NOUN
ejpam-5640	151	15	,	,	PUNCT
ejpam-5640	151	16	specifying	specify	VERB
ejpam-5640	151	17	the	the	DET
ejpam-5640	151	18	range	range	NOUN
ejpam-5640	151	19	for	for	ADP
ejpam-5640	151	20	the	the	DET
ejpam-5640	151	21	spatial	spatial	ADJ
ejpam-5640	151	22	variable	variable	NOUN
ejpam-5640	151	23	x	x	PUNCT
ejpam-5640	151	24	for	for	ADP
ejpam-5640	151	25	the	the	DET
ejpam-5640	151	26	computational	computational	ADJ
ejpam-5640	151	27	purpose	purpose	NOUN
ejpam-5640	151	28	.	.	PUNCT
ejpam-5640	152	1	additionally	additionally	ADV
ejpam-5640	152	2	,	,	PUNCT
ejpam-5640	152	3	the	the	DET
ejpam-5640	152	4	well	well	ADV
ejpam-5640	152	5	-	-	PUNCT
ejpam-5640	152	6	known	know	VERB
ejpam-5640	152	7	absolute	absolute	ADJ
ejpam-5640	152	8	error	error	NOUN
ejpam-5640	152	9	difference	difference	NOUN
ejpam-5640	152	10	formula	formula	NOUN
ejpam-5640	152	11	will	will	AUX
ejpam-5640	152	12	be	be	AUX
ejpam-5640	152	13	employed	employ	VERB
ejpam-5640	152	14	to	to	PART
ejpam-5640	152	15	estimate	estimate	VERB
ejpam-5640	152	16	the	the	DET
ejpam-5640	152	17	error	error	NOUN
ejpam-5640	152	18	difference	difference	NOUN
ejpam-5640	152	19	.	.	PUNCT
ejpam-5640	153	1	in	in	ADP
ejpam-5640	153	2	addition	addition	NOUN
ejpam-5640	153	3	,	,	PUNCT
ejpam-5640	153	4	some	some	DET
ejpam-5640	153	5	fixed	fix	VERB
ejpam-5640	153	6	real	real	ADJ
ejpam-5640	153	7	values	value	NOUN
ejpam-5640	153	8	for	for	ADP
ejpam-5640	153	9	the	the	DET
ejpam-5640	153	10	involving	involve	VERB
ejpam-5640	153	11	parameters	parameter	NOUN
ejpam-5640	153	12	are	be	AUX
ejpam-5640	153	13	assumed	assume	VERB
ejpam-5640	153	14	for	for	ADP
ejpam-5640	153	15	simulating	simulate	VERB
ejpam-5640	153	16	the	the	DET
ejpam-5640	153	17	referred	refer	VERB
ejpam-5640	153	18	bright	bright	ADJ
ejpam-5640	153	19	soliton	soliton	NOUN
ejpam-5640	153	20	eqs	eqs	PROPN
ejpam-5640	153	21	.	.	PUNCT
ejpam-5640	154	1	(	(	PUNCT
ejpam-5640	154	2	31)-(32	31)-(32	NUM
ejpam-5640	154	3	)	)	PUNCT
ejpam-5640	154	4	as	as	SCONJ
ejpam-5640	154	5	follows	follow	VERB
ejpam-5640	154	6	:	:	PUNCT
ejpam-5640	154	7	µ	µ	X
ejpam-5640	154	8	=	=	SYM
ejpam-5640	154	9	1	1	NUM
ejpam-5640	154	10	,	,	PUNCT
ejpam-5640	154	11	α	α	NOUN
ejpam-5640	154	12	=	=	SYM
ejpam-5640	154	13	0.1	0.1	NUM
ejpam-5640	154	14	,	,	PUNCT
ejpam-5640	154	15	λ	λ	X
ejpam-5640	154	16	=	=	SYM
ejpam-5640	154	17	0.5	0.5	NUM
ejpam-5640	154	18	,	,	PUNCT
ejpam-5640	154	19	σ	σ	NOUN
ejpam-5640	154	20	=	=	NUM
ejpam-5640	154	21	0.2	0.2	NUM
ejpam-5640	154	22	,	,	PUNCT
ejpam-5640	154	23	a	a	DET
ejpam-5640	154	24	=	=	SYM
ejpam-5640	154	25	e	e	NOUN
ejpam-5640	154	26	,	,	PUNCT
ejpam-5640	154	27	m	m	VERB
ejpam-5640	154	28	=	=	SYM
ejpam-5640	154	29	−0.1	−0.1	PROPN
ejpam-5640	154	30	,	,	PUNCT
ejpam-5640	154	31	n	n	X
ejpam-5640	154	32	=	=	SYM
ejpam-5640	154	33	0.5	0.5	NUM
ejpam-5640	154	34	,	,	PUNCT
ejpam-5640	154	35	κ	κ	X
ejpam-5640	154	36	=	=	NOUN
ejpam-5640	154	37	0.1	0.1	NUM
ejpam-5640	154	38	,	,	PUNCT
ejpam-5640	154	39	π	π	NOUN
ejpam-5640	154	40	=	=	SYM
ejpam-5640	154	41	2	2	NUM
ejpam-5640	154	42	,	,	PUNCT
ejpam-5640	154	43	p1	p1	NOUN
ejpam-5640	154	44	=	=	NOUN
ejpam-5640	154	45	0.2	0.2	NUM
ejpam-5640	154	46	,	,	PUNCT
ejpam-5640	154	47	r1	r1	PROPN
ejpam-5640	154	48	=	=	SYM
ejpam-5640	154	49	−0.2	−0.2	PROPN
ejpam-5640	154	50	,	,	PUNCT
ejpam-5640	154	51	s1	s1	NOUN
ejpam-5640	154	52	=	=	PUNCT
ejpam-5640	154	53	0.3	0.3	NUM
ejpam-5640	154	54	,	,	PUNCT
ejpam-5640	154	55	and	and	CCONJ
ejpam-5640	154	56	θ0	θ0	PROPN
ejpam-5640	154	57	=	=	PROPN
ejpam-5640	154	58	1	1	NUM
ejpam-5640	154	59	;	;	PUNCT
ejpam-5640	154	60	while	while	SCONJ
ejpam-5640	154	61	the	the	DET
ejpam-5640	154	62	following	follow	VERB
ejpam-5640	154	63	fixed	fix	VERB
ejpam-5640	154	64	values	value	NOUN
ejpam-5640	154	65	are	be	AUX
ejpam-5640	154	66	considered	consider	VERB
ejpam-5640	154	67	for	for	ADP
ejpam-5640	154	68	simulating	simulate	VERB
ejpam-5640	154	69	the	the	DET
ejpam-5640	154	70	soliton	soliton	NOUN
ejpam-5640	154	71	referred	refer	VERB
ejpam-5640	154	72	bright	bright	ADJ
ejpam-5640	154	73	soliton	soliton	NOUN
ejpam-5640	154	74	eq	eq	ADP
ejpam-5640	154	75	.	.	PUNCT
ejpam-5640	155	1	(	(	PUNCT
ejpam-5640	155	2	33	33	NUM
ejpam-5640	155	3	):	):	PUNCT
ejpam-5640	155	4	µ	µ	X
ejpam-5640	155	5	=	=	SYM
ejpam-5640	155	6	1	1	NUM
ejpam-5640	155	7	,	,	PUNCT
ejpam-5640	155	8	α	α	NOUN
ejpam-5640	155	9	=	=	SYM
ejpam-5640	155	10	0.1	0.1	NUM
ejpam-5640	155	11	,	,	PUNCT
ejpam-5640	155	12	λ	λ	X
ejpam-5640	155	13	=	=	NOUN
ejpam-5640	155	14	0.9	0.9	NUM
ejpam-5640	155	15	,	,	PUNCT
ejpam-5640	155	16	σ	σ	NOUN
ejpam-5640	155	17	=	=	SYM
ejpam-5640	155	18	0.5	0.5	NUM
ejpam-5640	155	19	,	,	PUNCT
ejpam-5640	155	20	a	a	DET
ejpam-5640	155	21	=	=	SYM
ejpam-5640	155	22	e	e	NOUN
ejpam-5640	155	23	,	,	PUNCT
ejpam-5640	155	24	m	m	VERB
ejpam-5640	155	25	=	=	SYM
ejpam-5640	155	26	n	n	PROPN
ejpam-5640	155	27	=	=	SYM
ejpam-5640	155	28	1	1	NUM
ejpam-5640	155	29	,	,	PUNCT
ejpam-5640	155	30	κ	κ	X
ejpam-5640	155	31	=	=	SYM
ejpam-5640	155	32	0.1	0.1	NUM
ejpam-5640	155	33	,	,	PUNCT
ejpam-5640	155	34	π	π	NOUN
ejpam-5640	155	35	=	=	SYM
ejpam-5640	155	36	2	2	NUM
ejpam-5640	155	37	,	,	PUNCT
ejpam-5640	155	38	p1	p1	NOUN
ejpam-5640	155	39	=	=	NOUN
ejpam-5640	155	40	0.2	0.2	NUM
ejpam-5640	155	41	,	,	PUNCT
ejpam-5640	155	42	r1	r1	PROPN
ejpam-5640	155	43	=	=	SYM
ejpam-5640	155	44	−0.2	−0.2	PROPN
ejpam-5640	155	45	,	,	PUNCT
ejpam-5640	155	46	s1	s1	PROPN
ejpam-5640	155	47	=	=	PUNCT
ejpam-5640	155	48	0.3	0.3	NUM
ejpam-5640	155	49	,	,	PUNCT
ejpam-5640	155	50	θ0	θ0	PROPN
ejpam-5640	155	51	=	=	PROPN
ejpam-5640	155	52	1	1	X
ejpam-5640	155	53	.	.	PUNCT
ejpam-5640	156	1	in	in	ADP
ejpam-5640	156	2	addition	addition	NOUN
ejpam-5640	156	3	,	,	PUNCT
ejpam-5640	156	4	the	the	DET
ejpam-5640	156	5	following	follow	VERB
ejpam-5640	156	6	two	two	NUM
ejpam-5640	156	7	cases	case	NOUN
ejpam-5640	156	8	are	be	AUX
ejpam-5640	156	9	considered	consider	VERB
ejpam-5640	156	10	in	in	ADP
ejpam-5640	156	11	the	the	DET
ejpam-5640	156	12	numerical	numerical	PROPN
ejpam-5640	156	13	simulation	simulation	NOUN
ejpam-5640	156	14	:	:	PUNCT
ejpam-5640	156	15	case	case	NOUN
ejpam-5640	157	1	i	i	PRON
ejpam-5640	157	2	:	:	PUNCT
ejpam-5640	157	3	when	when	SCONJ
ejpam-5640	157	4	j	j	PROPN
ejpam-5640	157	5	=	=	PROPN
ejpam-5640	157	6	b.	b.	PROPN
ejpam-5640	157	7	case	case	PROPN
ejpam-5640	157	8	ii	ii	PROPN
ejpam-5640	157	9	:	:	PUNCT
ejpam-5640	157	10	when	when	SCONJ
ejpam-5640	157	11	j	j	PROPN
ejpam-5640	157	12	=	=	PROPN
ejpam-5640	157	13	l.	l.	PROPN
ejpam-5640	157	14	thus	thus	ADV
ejpam-5640	157	15	,	,	PUNCT
ejpam-5640	157	16	without	without	ADP
ejpam-5640	157	17	delay	delay	NOUN
ejpam-5640	157	18	,	,	PUNCT
ejpam-5640	157	19	the	the	DET
ejpam-5640	157	20	study	study	NOUN
ejpam-5640	157	21	reports	report	VERB
ejpam-5640	157	22	in	in	ADP
ejpam-5640	157	23	what	what	PRON
ejpam-5640	157	24	follows	follow	VERB
ejpam-5640	157	25	some	some	DET
ejpam-5640	157	26	error	error	NOUN
ejpam-5640	157	27	tables	table	NOUN
ejpam-5640	157	28	(	(	PUNCT
ejpam-5640	157	29	see	see	VERB
ejpam-5640	157	30	tables	table	NOUN
ejpam-5640	157	31	1	1	NUM
ejpam-5640	157	32	-	-	SYM
ejpam-5640	157	33	6	6	NUM
ejpam-5640	157	34	)	)	PUNCT
ejpam-5640	157	35	and	and	CCONJ
ejpam-5640	157	36	the	the	DET
ejpam-5640	157	37	two	two	NUM
ejpam-5640	157	38	-	-	PUNCT
ejpam-5640	157	39	dimensional	dimensional	ADJ
ejpam-5640	157	40	graphical	graphical	ADJ
ejpam-5640	157	41	depictions	depiction	NOUN
ejpam-5640	157	42	(	(	PUNCT
ejpam-5640	157	43	see	see	VERB
ejpam-5640	157	44	figures	figure	NOUN
ejpam-5640	157	45	1	1	NUM
ejpam-5640	157	46	-	-	SYM
ejpam-5640	157	47	12	12	NUM
ejpam-5640	157	48	)	)	PUNCT
ejpam-5640	157	49	for	for	ADP
ejpam-5640	157	50	the	the	DET
ejpam-5640	157	51	simulated	simulate	VERB
ejpam-5640	157	52	numerical	numerical	ADJ
ejpam-5640	157	53	results	result	NOUN
ejpam-5640	157	54	,	,	PUNCT
ejpam-5640	157	55	assessing	assess	VERB
ejpam-5640	157	56	the	the	DET
ejpam-5640	157	57	exactness	exactness	NOUN
ejpam-5640	157	58	of	of	ADP
ejpam-5640	157	59	the	the	DET
ejpam-5640	157	60	proposed	propose	VERB
ejpam-5640	157	61	iadm	iadm	NOUN
ejpam-5640	157	62	with	with	ADP
ejpam-5640	157	63	the	the	DET
ejpam-5640	157	64	analytical	analytical	ADJ
ejpam-5640	157	65	structures	structure	NOUN
ejpam-5640	157	66	reported	report	VERB
ejpam-5640	157	67	by	by	ADP
ejpam-5640	157	68	uddin	uddin	PROPN
ejpam-5640	157	69	and	and	CCONJ
ejpam-5640	157	70	hafez	hafez	VERB
ejpam-5640	157	71	[	[	X
ejpam-5640	157	72	27	27	NUM
ejpam-5640	157	73	]	]	PUNCT
ejpam-5640	157	74	earlier	early	ADV
ejpam-5640	157	75	expressed	express	VERB
ejpam-5640	157	76	in	in	ADP
ejpam-5640	157	77	eqs	eqs	PROPN
ejpam-5640	157	78	.	.	PUNCT
ejpam-5640	158	1	(	(	PUNCT
ejpam-5640	158	2	31)-(33	31)-(33	NUM
ejpam-5640	158	3	)	)	PUNCT
ejpam-5640	158	4	.	.	PUNCT
ejpam-5640	159	1	certainly	certainly	ADV
ejpam-5640	159	2	,	,	PUNCT
ejpam-5640	159	3	the	the	DET
ejpam-5640	159	4	given	give	VERB
ejpam-5640	159	5	tables	table	NOUN
ejpam-5640	159	6	in	in	ADP
ejpam-5640	159	7	tables	table	NOUN
ejpam-5640	159	8	1	1	NUM
ejpam-5640	159	9	-	-	SYM
ejpam-5640	159	10	6	6	NUM
ejpam-5640	159	11	are	be	AUX
ejpam-5640	159	12	self	self	NOUN
ejpam-5640	159	13	-	-	PUNCT
ejpam-5640	159	14	explanatory	explanatory	ADJ
ejpam-5640	159	15	,	,	PUNCT
ejpam-5640	159	16	ultimately	ultimately	ADV
ejpam-5640	159	17	saying	say	VERB
ejpam-5640	159	18	the	the	DET
ejpam-5640	159	19	something	something	PRON
ejpam-5640	159	20	that	that	PRON
ejpam-5640	159	21	the	the	DET
ejpam-5640	159	22	error	error	NOUN
ejpam-5640	159	23	increases	increase	VERB
ejpam-5640	159	24	as	as	ADP
ejpam-5640	159	25	time	time	NOUN
ejpam-5640	159	26	increases	increase	NOUN
ejpam-5640	159	27	.	.	PUNCT
ejpam-5640	160	1	additionally	additionally	ADV
ejpam-5640	160	2	the	the	DET
ejpam-5640	160	3	resulting	result	VERB
ejpam-5640	160	4	solution	solution	NOUN
ejpam-5640	160	5	of	of	ADP
ejpam-5640	160	6	the	the	DET
ejpam-5640	160	7	governing	govern	VERB
ejpam-5640	160	8	cq	cq	PROPN
ejpam-5640	160	9	model	model	PROPN
ejpam-5640	160	10	{	{	PUNCT
ejpam-5640	160	11	u(x	u(x	PROPN
ejpam-5640	160	12	,	,	PUNCT
ejpam-5640	160	13	t	t	PROPN
ejpam-5640	160	14	)	)	PUNCT
ejpam-5640	160	15	,	,	PUNCT
ejpam-5640	160	16	v(x	v(x	PROPN
ejpam-5640	160	17	,	,	PUNCT
ejpam-5640	160	18	t	t	PROPN
ejpam-5640	160	19	)	)	PUNCT
ejpam-5640	160	20	}	}	PUNCT
ejpam-5640	160	21	is	be	AUX
ejpam-5640	160	22	depicted	depict	VERB
ejpam-5640	160	23	in	in	ADP
ejpam-5640	160	24	figures	figure	NOUN
ejpam-5640	160	25	1	1	NUM
ejpam-5640	160	26	-	-	SYM
ejpam-5640	160	27	12	12	NUM
ejpam-5640	160	28	under	under	ADP
ejpam-5640	160	29	the	the	DET
ejpam-5640	160	30	aforesaid	aforesaid	ADJ
ejpam-5640	160	31	cases	case	NOUN
ejpam-5640	160	32	i	i	PRON
ejpam-5640	160	33	-	-	PUNCT
ejpam-5640	160	34	ii	ii	NOUN
ejpam-5640	160	35	over	over	ADP
ejpam-5640	160	36	the	the	DET
ejpam-5640	160	37	interval	interval	NOUN
ejpam-5640	160	38	−20	−20	PROPN
ejpam-5640	160	39	≤	≤	NUM
ejpam-5640	160	40	x	x	SYM
ejpam-5640	160	41	≤	≤	NUM
ejpam-5640	160	42	20	20	NUM
ejpam-5640	160	43	,	,	PUNCT
ejpam-5640	160	44	and	and	CCONJ
ejpam-5640	160	45	for	for	ADP
ejpam-5640	160	46	t	t	NOUN
ejpam-5640	160	47	=	=	SYM
ejpam-5640	160	48	0	0	NUM
ejpam-5640	160	49	,	,	PUNCT
ejpam-5640	160	50	0.5	0.5	NUM
ejpam-5640	160	51	,	,	PUNCT
ejpam-5640	160	52	1	1	NUM
ejpam-5640	160	53	.	.	PUNCT
ejpam-5640	161	1	in	in	ADP
ejpam-5640	161	2	addition	addition	NOUN
ejpam-5640	161	3	,	,	PUNCT
ejpam-5640	161	4	the	the	DET
ejpam-5640	161	5	results	result	NOUN
ejpam-5640	161	6	shown	show	VERB
ejpam-5640	161	7	by	by	ADP
ejpam-5640	161	8	these	these	DET
ejpam-5640	161	9	figures	figure	NOUN
ejpam-5640	161	10	revealed	reveal	VERB
ejpam-5640	161	11	the	the	DET
ejpam-5640	161	12	adopted	adopt	VERB
ejpam-5640	161	13	iadm	iadm	NOUN
ejpam-5640	161	14	is	be	AUX
ejpam-5640	161	15	a	a	DET
ejpam-5640	161	16	good	good	ADJ
ejpam-5640	161	17	approximation	approximation	NOUN
ejpam-5640	161	18	tool	tool	NOUN
ejpam-5640	161	19	for	for	ADP
ejpam-5640	161	20	solving	solve	VERB
ejpam-5640	161	21	complex	complex	NOUN
ejpam-5640	161	22	-	-	PUNCT
ejpam-5640	161	23	valued	value	VERB
ejpam-5640	161	24	evolution	evolution	NOUN
ejpam-5640	161	25	equations	equation	NOUN
ejpam-5640	161	26	;	;	PUNCT
ejpam-5640	161	27	in	in	ADP
ejpam-5640	161	28	particular	particular	ADJ
ejpam-5640	161	29	,	,	PUNCT
ejpam-5640	161	30	the	the	DET
ejpam-5640	161	31	cq	cq	NOUN
ejpam-5640	161	32	nlse	nlse	NOUN
ejpam-5640	161	33	in	in	ADP
ejpam-5640	161	34	fbs	fbs	PROPN
ejpam-5640	161	35	.	.	PUNCT
ejpam-5640	162	1	a	a	DET
ejpam-5640	162	2	high	high	ADJ
ejpam-5640	162	3	level	level	NOUN
ejpam-5640	162	4	of	of	ADP
ejpam-5640	162	5	exactness	exactness	NOUN
ejpam-5640	162	6	has	have	AUX
ejpam-5640	162	7	been	be	AUX
ejpam-5640	162	8	noted	note	VERB
ejpam-5640	162	9	in	in	ADP
ejpam-5640	162	10	all	all	DET
ejpam-5640	162	11	the	the	DET
ejpam-5640	162	12	plots	plot	NOUN
ejpam-5640	162	13	,	,	PUNCT
ejpam-5640	162	14	in	in	ADP
ejpam-5640	162	15	addition	addition	NOUN
ejpam-5640	162	16	to	to	ADP
ejpam-5640	162	17	the	the	DET
ejpam-5640	162	18	revelation	revelation	NOUN
ejpam-5640	162	19	of	of	ADP
ejpam-5640	162	20	relatively	relatively	ADV
ejpam-5640	162	21	negligible	negligible	ADJ
ejpam-5640	162	22	errors	error	NOUN
ejpam-5640	162	23	in	in	ADP
ejpam-5640	162	24	tables	table	NOUN
ejpam-5640	162	25	1	1	NUM
ejpam-5640	162	26	-	-	SYM
ejpam-5640	162	27	6	6	NUM
ejpam-5640	162	28	.	.	PUNCT
ejpam-5640	163	1	besides	besides	SCONJ
ejpam-5640	163	2	,	,	PUNCT
ejpam-5640	163	3	one	one	NUM
ejpam-5640	163	4	notices	notice	NOUN
ejpam-5640	163	5	from	from	ADP
ejpam-5640	163	6	the	the	DET
ejpam-5640	163	7	reported	report	VERB
ejpam-5640	163	8	tables	table	NOUN
ejpam-5640	163	9	that	that	PRON
ejpam-5640	163	10	the	the	DET
ejpam-5640	163	11	error	error	NOUN
ejpam-5640	163	12	keeps	keep	VERB
ejpam-5640	163	13	shrinking	shrink	VERB
ejpam-5640	163	14	as	as	SCONJ
ejpam-5640	163	15	the	the	DET
ejpam-5640	163	16	time	time	NOUN
ejpam-5640	163	17	grows	grow	VERB
ejpam-5640	163	18	;	;	PUNCT
ejpam-5640	163	19	while	while	SCONJ
ejpam-5640	163	20	the	the	DET
ejpam-5640	163	21	figures	figure	NOUN
ejpam-5640	163	22	portray	portray	VERB
ejpam-5640	163	23	perfect	perfect	ADJ
ejpam-5640	163	24	agreement	agreement	NOUN
ejpam-5640	163	25	between	between	ADP
ejpam-5640	163	26	various	various	ADJ
ejpam-5640	163	27	exact	exact	ADJ
ejpam-5640	163	28	solutions	solution	NOUN
ejpam-5640	163	29	and	and	CCONJ
ejpam-5640	163	30	the	the	DET
ejpam-5640	163	31	contending	contend	VERB
ejpam-5640	163	32	computational	computational	ADJ
ejpam-5640	163	33	iadm	iadm	ADJ
ejpam-5640	163	34	scheme	scheme	NOUN
ejpam-5640	163	35	;	;	PUNCT
ejpam-5640	163	36	for	for	ADP
ejpam-5640	163	37	more	more	ADV
ejpam-5640	163	38	rigorous	rigorous	ADJ
ejpam-5640	163	39	proofs	proof	NOUN
ejpam-5640	163	40	of	of	ADP
ejpam-5640	163	41	convergence	convergence	NOUN
ejpam-5640	163	42	of	of	ADP
ejpam-5640	163	43	the	the	DET
ejpam-5640	163	44	certain	certain	ADJ
ejpam-5640	163	45	adomian	adomian	NOUN
ejpam-5640	163	46	-	-	PUNCT
ejpam-5640	163	47	based	base	VERB
ejpam-5640	163	48	approaches	approach	NOUN
ejpam-5640	163	49	,	,	PUNCT
ejpam-5640	163	50	one	one	NUM
ejpam-5640	163	51	is	be	AUX
ejpam-5640	163	52	asked	ask	VERB
ejpam-5640	163	53	to	to	PART
ejpam-5640	163	54	read	read	VERB
ejpam-5640	163	55	the	the	DET
ejpam-5640	163	56	good	good	ADJ
ejpam-5640	163	57	works	work	NOUN
ejpam-5640	163	58	reported	report	VERB
ejpam-5640	163	59	in	in	ADP
ejpam-5640	163	60	[	[	X
ejpam-5640	163	61	16	16	NUM
ejpam-5640	163	62	,	,	PUNCT
ejpam-5640	163	63	23	23	NUM
ejpam-5640	163	64	,	,	PUNCT
ejpam-5640	163	65	24	24	NUM
ejpam-5640	163	66	,	,	PUNCT
ejpam-5640	163	67	26	26	NUM
ejpam-5640	163	68	]	]	PUNCT
ejpam-5640	163	69	and	and	CCONJ
ejpam-5640	163	70	the	the	DET
ejpam-5640	163	71	references	reference	NOUN
ejpam-5640	163	72	therewith	therewith	NOUN
ejpam-5640	163	73	.	.	PUNCT
ejpam-5640	164	1	table	table	NOUN
ejpam-5640	164	2	1	1	NUM
ejpam-5640	164	3	:	:	PUNCT
ejpam-5640	164	4	absolute	absolute	ADJ
ejpam-5640	164	5	errors	error	NOUN
ejpam-5640	164	6	between	between	ADP
ejpam-5640	164	7	the	the	DET
ejpam-5640	164	8	proposed	propose	VERB
ejpam-5640	164	9	iadm	iadm	ADJ
ejpam-5640	164	10	solution	solution	NOUN
ejpam-5640	164	11	and	and	CCONJ
ejpam-5640	164	12	the	the	DET
ejpam-5640	164	13	exact	exact	ADJ
ejpam-5640	164	14	bright	bright	ADJ
ejpam-5640	164	15	solution	solution	NOUN
ejpam-5640	164	16	eq	eq	ADP
ejpam-5640	164	17	.	.	PUNCT
ejpam-5640	165	1	(	(	PUNCT
ejpam-5640	165	2	31	31	NUM
ejpam-5640	165	3	)	)	PUNCT
ejpam-5640	165	4	under	under	ADP
ejpam-5640	165	5	case	case	NOUN
ejpam-5640	165	6	i.	i.	PROPN
ejpam-5640	165	7	t	t	PROPN
ejpam-5640	165	8	error	error	NOUN
ejpam-5640	165	9	for	for	ADP
ejpam-5640	165	10	u(x	u(x	NOUN
ejpam-5640	165	11	,	,	PUNCT
ejpam-5640	165	12	t	t	NOUN
ejpam-5640	165	13	)	)	PUNCT
ejpam-5640	165	14	error	error	NOUN
ejpam-5640	165	15	for	for	ADP
ejpam-5640	165	16	v(x	v(x	PROPN
ejpam-5640	165	17	,	,	PUNCT
ejpam-5640	165	18	t	t	PROPN
ejpam-5640	165	19	)	)	PUNCT
ejpam-5640	165	20	0.0	0.0	NUM
ejpam-5640	165	21	3.3154743250×	3.3154743250×	NUM
ejpam-5640	165	22	10−11	10−11	NUM
ejpam-5640	165	23	4.0522024880×	4.0522024880×	NOUN
ejpam-5640	165	24	10−11	10−11	NUM
ejpam-5640	165	25	0.5	0.5	NUM
ejpam-5640	165	26	3.6273088130×	3.6273088130×	NUM
ejpam-5640	165	27	10−07	10−07	NUM
ejpam-5640	165	28	7.25359840×	7.25359840×	NUM
ejpam-5640	166	1	10−07	10−07	NUM
ejpam-5640	166	2	1.0	1.0	NUM
ejpam-5640	166	3	7.244079170×	7.244079170×	NUM
ejpam-5640	166	4	10−07	10−07	NUM
ejpam-5640	166	5	1.4488112510×	1.4488112510×	NOUN
ejpam-5640	166	6	10−06	10−06	NUM
ejpam-5640	166	7	a.	a.	NOUN
ejpam-5640	166	8	m.	m.	NOUN
ejpam-5640	166	9	almalki	almalki	ADP
ejpam-5640	166	10	et	et	PROPN
ejpam-5640	166	11	al	al	PROPN
ejpam-5640	166	12	.	.	PUNCT
ejpam-5640	166	13	/	/	SYM
ejpam-5640	166	14	eur	eur	PROPN
ejpam-5640	166	15	.	.	PUNCT
ejpam-5640	167	1	j.	j.	PROPN
ejpam-5640	167	2	pure	pure	PROPN
ejpam-5640	167	3	appl	appl	PROPN
ejpam-5640	167	4	.	.	PROPN
ejpam-5640	167	5	math	math	PROPN
ejpam-5640	167	6	,	,	PUNCT
ejpam-5640	167	7	18	18	NUM
ejpam-5640	167	8	(	(	PUNCT
ejpam-5640	167	9	1	1	NUM
ejpam-5640	167	10	)	)	PUNCT
ejpam-5640	167	11	(	(	PUNCT
ejpam-5640	167	12	2025	2025	NUM
ejpam-5640	167	13	)	)	PUNCT
ejpam-5640	167	14	,	,	PUNCT
ejpam-5640	167	15	5640	5640	NUM
ejpam-5640	167	16	9	9	NUM
ejpam-5640	167	17	of	of	ADP
ejpam-5640	167	18	16	16	NUM
ejpam-5640	167	19	table	table	NOUN
ejpam-5640	167	20	2	2	NUM
ejpam-5640	167	21	:	:	PUNCT
ejpam-5640	167	22	absolute	absolute	ADJ
ejpam-5640	167	23	errors	error	NOUN
ejpam-5640	167	24	between	between	ADP
ejpam-5640	167	25	the	the	DET
ejpam-5640	167	26	proposed	propose	VERB
ejpam-5640	167	27	iadm	iadm	ADJ
ejpam-5640	167	28	solution	solution	NOUN
ejpam-5640	167	29	and	and	CCONJ
ejpam-5640	167	30	the	the	DET
ejpam-5640	167	31	exact	exact	ADJ
ejpam-5640	167	32	bright	bright	ADJ
ejpam-5640	167	33	solution	solution	NOUN
ejpam-5640	167	34	eq	eq	ADP
ejpam-5640	167	35	.	.	PUNCT
ejpam-5640	168	1	(	(	PUNCT
ejpam-5640	168	2	31	31	NUM
ejpam-5640	168	3	)	)	PUNCT
ejpam-5640	168	4	under	under	ADP
ejpam-5640	168	5	case	case	NOUN
ejpam-5640	168	6	ii	ii	PROPN
ejpam-5640	168	7	.	.	PUNCT
ejpam-5640	168	8	t	t	NOUN
ejpam-5640	168	9	error	error	NOUN
ejpam-5640	168	10	for	for	ADP
ejpam-5640	168	11	u(x	u(x	NOUN
ejpam-5640	168	12	,	,	PUNCT
ejpam-5640	168	13	t	t	NOUN
ejpam-5640	168	14	)	)	PUNCT
ejpam-5640	168	15	error	error	NOUN
ejpam-5640	168	16	for	for	ADP
ejpam-5640	168	17	v(x	v(x	PROPN
ejpam-5640	168	18	,	,	PUNCT
ejpam-5640	168	19	t	t	PROPN
ejpam-5640	168	20	)	)	PUNCT
ejpam-5640	168	21	0.0	0.0	NUM
ejpam-5640	168	22	5.484944780×	5.484944780×	NUM
ejpam-5640	168	23	10−11	10−11	NUM
ejpam-5640	168	24	9.0353010030×	9.0353010030×	NUM
ejpam-5640	168	25	10−11	10−11	NUM
ejpam-5640	168	26	0.5	0.5	NUM
ejpam-5640	168	27	2.4533317260×	2.4533317260×	NUM
ejpam-5640	168	28	10−07	10−07	NUM
ejpam-5640	168	29	4.9072878790×	4.9072878790×	NUM
ejpam-5640	169	1	10−07	10−07	NUM
ejpam-5640	169	2	1.0	1.0	NUM
ejpam-5640	169	3	4.9129153530×	4.9129153530×	NUM
ejpam-5640	169	4	10−07	10−07	NUM
ejpam-5640	169	5	9.8269962640×	9.8269962640×	NOUN
ejpam-5640	169	6	10−07	10−07	NUM
ejpam-5640	169	7	table	table	NOUN
ejpam-5640	169	8	3	3	NUM
ejpam-5640	169	9	:	:	PUNCT
ejpam-5640	169	10	absolute	absolute	ADJ
ejpam-5640	169	11	errors	error	NOUN
ejpam-5640	169	12	between	between	ADP
ejpam-5640	169	13	the	the	DET
ejpam-5640	169	14	proposed	propose	VERB
ejpam-5640	169	15	iadm	iadm	ADJ
ejpam-5640	169	16	solution	solution	NOUN
ejpam-5640	169	17	and	and	CCONJ
ejpam-5640	169	18	the	the	DET
ejpam-5640	169	19	exact	exact	ADJ
ejpam-5640	169	20	bright	bright	ADJ
ejpam-5640	169	21	solution	solution	NOUN
ejpam-5640	169	22	eq	eq	ADP
ejpam-5640	169	23	.	.	PUNCT
ejpam-5640	170	1	(	(	PUNCT
ejpam-5640	170	2	32	32	NUM
ejpam-5640	170	3	)	)	PUNCT
ejpam-5640	170	4	under	under	ADP
ejpam-5640	170	5	case	case	NOUN
ejpam-5640	170	6	i.	i.	PROPN
ejpam-5640	170	7	t	t	PROPN
ejpam-5640	170	8	error	error	NOUN
ejpam-5640	170	9	for	for	ADP
ejpam-5640	170	10	u(x	u(x	NOUN
ejpam-5640	170	11	,	,	PUNCT
ejpam-5640	170	12	t	t	NOUN
ejpam-5640	170	13	)	)	PUNCT
ejpam-5640	170	14	error	error	NOUN
ejpam-5640	170	15	for	for	ADP
ejpam-5640	170	16	v(x	v(x	PROPN
ejpam-5640	170	17	,	,	PUNCT
ejpam-5640	170	18	t	t	PROPN
ejpam-5640	170	19	)	)	PUNCT
ejpam-5640	170	20	0.0	0.0	NUM
ejpam-5640	170	21	3.630370780×	3.630370780×	NUM
ejpam-5640	170	22	10−11	10−11	NUM
ejpam-5640	170	23	3.7097958160×	3.7097958160×	NUM
ejpam-5640	170	24	10−11	10−11	NUM
ejpam-5640	170	25	0.5	0.5	NUM
ejpam-5640	170	26	3.7246380130×	3.7246380130×	NUM
ejpam-5640	170	27	10−07	10−07	NUM
ejpam-5640	170	28	7.4502952140×	7.4502952140×	NUM
ejpam-5640	170	29	10−07	10−07	NUM
ejpam-5640	170	30	1.0	1.0	NUM
ejpam-5640	170	31	7.4426980490×	7.4426980490×	NUM
ejpam-5640	170	32	10−07	10−07	NUM
ejpam-5640	170	33	1.4885442150×	1.4885442150×	NUM
ejpam-5640	170	34	10−06	10−06	NUM
ejpam-5640	170	35	table	table	NOUN
ejpam-5640	170	36	4	4	NUM
ejpam-5640	170	37	:	:	PUNCT
ejpam-5640	170	38	absolute	absolute	ADJ
ejpam-5640	170	39	errors	error	NOUN
ejpam-5640	170	40	between	between	ADP
ejpam-5640	170	41	the	the	DET
ejpam-5640	170	42	proposed	propose	VERB
ejpam-5640	170	43	iadm	iadm	ADJ
ejpam-5640	170	44	solution	solution	NOUN
ejpam-5640	170	45	and	and	CCONJ
ejpam-5640	170	46	the	the	DET
ejpam-5640	170	47	exact	exact	ADJ
ejpam-5640	170	48	bright	bright	ADJ
ejpam-5640	170	49	solution	solution	NOUN
ejpam-5640	170	50	eq	eq	ADP
ejpam-5640	170	51	.	.	PUNCT
ejpam-5640	171	1	(	(	PUNCT
ejpam-5640	171	2	32	32	NUM
ejpam-5640	171	3	)	)	PUNCT
ejpam-5640	171	4	under	under	ADP
ejpam-5640	171	5	case	case	NOUN
ejpam-5640	171	6	ii	ii	PROPN
ejpam-5640	171	7	.	.	PUNCT
ejpam-5640	171	8	t	t	NOUN
ejpam-5640	171	9	error	error	NOUN
ejpam-5640	171	10	for	for	ADP
ejpam-5640	171	11	u(x	u(x	NOUN
ejpam-5640	171	12	,	,	PUNCT
ejpam-5640	171	13	t	t	NOUN
ejpam-5640	171	14	)	)	PUNCT
ejpam-5640	171	15	error	error	NOUN
ejpam-5640	171	16	for	for	ADP
ejpam-5640	171	17	v(x	v(x	PROPN
ejpam-5640	171	18	,	,	PUNCT
ejpam-5640	171	19	t	t	PROPN
ejpam-5640	171	20	)	)	PUNCT
ejpam-5640	171	21	0.0	0.0	NUM
ejpam-5640	171	22	8.8257766890×	8.8257766890×	NUM
ejpam-5640	172	1	10−11	10−11	NUM
ejpam-5640	172	2	1.1585211690×	1.1585211690×	NUM
ejpam-5640	172	3	10−10	10−10	NUM
ejpam-5640	172	4	0.5	0.5	NUM
ejpam-5640	172	5	2.4486313850×	2.4486313850×	NUM
ejpam-5640	172	6	10−07	10−07	NUM
ejpam-5640	172	7	4.8982667650×	4.8982667650×	NOUN
ejpam-5640	172	8	10−07	10−07	NUM
ejpam-5640	172	9	1.0	1.0	NUM
ejpam-5640	172	10	4.8922551670×	4.8922551670×	NUM
ejpam-5640	172	11	10−07	10−07	NUM
ejpam-5640	172	12	9.7855005360×	9.7855005360×	NUM
ejpam-5640	173	1	10−07	10−07	NUM
ejpam-5640	173	2	table	table	NOUN
ejpam-5640	173	3	5	5	NUM
ejpam-5640	173	4	:	:	PUNCT
ejpam-5640	173	5	absolute	absolute	ADJ
ejpam-5640	173	6	errors	error	NOUN
ejpam-5640	173	7	between	between	ADP
ejpam-5640	173	8	the	the	DET
ejpam-5640	173	9	proposed	propose	VERB
ejpam-5640	173	10	iadm	iadm	ADJ
ejpam-5640	173	11	solution	solution	NOUN
ejpam-5640	173	12	and	and	CCONJ
ejpam-5640	173	13	the	the	DET
ejpam-5640	173	14	exact	exact	ADJ
ejpam-5640	173	15	bright	bright	ADJ
ejpam-5640	173	16	solution	solution	NOUN
ejpam-5640	173	17	eq	eq	ADP
ejpam-5640	173	18	.	.	PUNCT
ejpam-5640	174	1	(	(	PUNCT
ejpam-5640	174	2	33	33	NUM
ejpam-5640	174	3	)	)	PUNCT
ejpam-5640	174	4	under	under	ADP
ejpam-5640	174	5	case	case	NOUN
ejpam-5640	174	6	i.	i.	PROPN
ejpam-5640	174	7	t	t	PROPN
ejpam-5640	174	8	error	error	NOUN
ejpam-5640	174	9	for	for	ADP
ejpam-5640	174	10	u(x	u(x	NOUN
ejpam-5640	174	11	,	,	PUNCT
ejpam-5640	174	12	t	t	NOUN
ejpam-5640	174	13	)	)	PUNCT
ejpam-5640	174	14	error	error	NOUN
ejpam-5640	174	15	for	for	ADP
ejpam-5640	174	16	v(x	v(x	PROPN
ejpam-5640	174	17	,	,	PUNCT
ejpam-5640	174	18	t	t	PROPN
ejpam-5640	174	19	)	)	PUNCT
ejpam-5640	174	20	0.0	0.0	NUM
ejpam-5640	174	21	4.240780×	4.240780×	NUM
ejpam-5640	174	22	10−11	10−11	NUM
ejpam-5640	174	23	3.959250×	3.959250×	NUM
ejpam-5640	174	24	10−11	10−11	NUM
ejpam-5640	174	25	0.5	0.5	NUM
ejpam-5640	174	26	1.686434930×	1.686434930×	NUM
ejpam-5640	174	27	10−08	10−08	NUM
ejpam-5640	174	28	3.3728698590×	3.3728698590×	NUM
ejpam-5640	174	29	10−08	10−08	NUM
ejpam-5640	174	30	1.0	1.0	NUM
ejpam-5640	174	31	3.3672392760×	3.3672392760×	NUM
ejpam-5640	174	32	10−08	10−08	NUM
ejpam-5640	174	33	6.7344785610×	6.7344785610×	NOUN
ejpam-5640	174	34	10−08	10−08	NUM
ejpam-5640	174	35	table	table	NOUN
ejpam-5640	174	36	6	6	NUM
ejpam-5640	174	37	:	:	PUNCT
ejpam-5640	174	38	absolute	absolute	ADJ
ejpam-5640	174	39	errors	error	NOUN
ejpam-5640	174	40	between	between	ADP
ejpam-5640	174	41	the	the	DET
ejpam-5640	174	42	proposed	propose	VERB
ejpam-5640	174	43	iadm	iadm	ADJ
ejpam-5640	174	44	solution	solution	NOUN
ejpam-5640	174	45	and	and	CCONJ
ejpam-5640	174	46	the	the	DET
ejpam-5640	174	47	exact	exact	ADJ
ejpam-5640	174	48	bright	bright	ADJ
ejpam-5640	174	49	solution	solution	NOUN
ejpam-5640	174	50	eq	eq	ADP
ejpam-5640	174	51	.	.	PUNCT
ejpam-5640	175	1	(	(	PUNCT
ejpam-5640	175	2	33	33	NUM
ejpam-5640	175	3	)	)	PUNCT
ejpam-5640	175	4	under	under	ADP
ejpam-5640	175	5	case	case	NOUN
ejpam-5640	175	6	ii	ii	PROPN
ejpam-5640	175	7	.	.	PUNCT
ejpam-5640	175	8	t	t	NOUN
ejpam-5640	175	9	error	error	NOUN
ejpam-5640	175	10	for	for	ADP
ejpam-5640	175	11	u(x	u(x	NOUN
ejpam-5640	175	12	,	,	PUNCT
ejpam-5640	175	13	t	t	NOUN
ejpam-5640	175	14	)	)	PUNCT
ejpam-5640	175	15	error	error	NOUN
ejpam-5640	175	16	for	for	ADP
ejpam-5640	175	17	v(x	v(x	PROPN
ejpam-5640	175	18	,	,	PUNCT
ejpam-5640	175	19	t	t	PROPN
ejpam-5640	175	20	)	)	PUNCT
ejpam-5640	175	21	0.0	0.0	NUM
ejpam-5640	175	22	2.2459764440×	2.2459764440×	NUM
ejpam-5640	175	23	10−11	10−11	NUM
ejpam-5640	175	24	4.4919532010×	4.4919532010×	NOUN
ejpam-5640	175	25	10−11	10−11	NOUN
ejpam-5640	175	26	0.5	0.5	NUM
ejpam-5640	175	27	7.7187785040×	7.7187785040×	NOUN
ejpam-5640	175	28	10−09	10−09	NOUN
ejpam-5640	175	29	1.5437556770×	1.5437556770×	NUM
ejpam-5640	175	30	10−08	10−08	NUM
ejpam-5640	175	31	1.0	1.0	NUM
ejpam-5640	175	32	1.5494033650×	1.5494033650×	NUM
ejpam-5640	175	33	10−08	10−08	NUM
ejpam-5640	175	34	3.0988067140×	3.0988067140×	NUM
ejpam-5640	175	35	10−08	10−08	NUM
ejpam-5640	175	36	a.	a.	NOUN
ejpam-5640	175	37	m.	m.	NOUN
ejpam-5640	175	38	almalki	almalki	ADP
ejpam-5640	175	39	et	et	PROPN
ejpam-5640	175	40	al	al	PROPN
ejpam-5640	175	41	.	.	PUNCT
ejpam-5640	175	42	/	/	SYM
ejpam-5640	175	43	eur	eur	PROPN
ejpam-5640	175	44	.	.	PUNCT
ejpam-5640	176	1	j.	j.	PROPN
ejpam-5640	176	2	pure	pure	PROPN
ejpam-5640	176	3	appl	appl	PROPN
ejpam-5640	176	4	.	.	PROPN
ejpam-5640	176	5	math	math	PROPN
ejpam-5640	176	6	,	,	PUNCT
ejpam-5640	176	7	18	18	NUM
ejpam-5640	176	8	(	(	PUNCT
ejpam-5640	176	9	1	1	NUM
ejpam-5640	176	10	)	)	PUNCT
ejpam-5640	176	11	(	(	PUNCT
ejpam-5640	176	12	2025	2025	NUM
ejpam-5640	176	13	)	)	PUNCT
ejpam-5640	176	14	,	,	PUNCT
ejpam-5640	176	15	5640	5640	NUM
ejpam-5640	176	16	10	10	NUM
ejpam-5640	176	17	of	of	ADP
ejpam-5640	176	18	16	16	NUM
ejpam-5640	176	19	figure	figure	NOUN
ejpam-5640	176	20	1	1	NUM
ejpam-5640	176	21	:	:	PUNCT
ejpam-5640	176	22	pictorial	pictorial	ADJ
ejpam-5640	176	23	depiction	depiction	NOUN
ejpam-5640	176	24	,	,	PUNCT
ejpam-5640	176	25	comparing	compare	VERB
ejpam-5640	176	26	the	the	DET
ejpam-5640	176	27	proposed	propose	VERB
ejpam-5640	176	28	iadm	iadm	ADJ
ejpam-5640	176	29	solution	solution	NOUN
ejpam-5640	176	30	and	and	CCONJ
ejpam-5640	176	31	the	the	DET
ejpam-5640	176	32	exact	exact	ADJ
ejpam-5640	176	33	solution	solution	NOUN
ejpam-5640	176	34	eq	eq	ADP
ejpam-5640	176	35	.	.	PUNCT
ejpam-5640	177	1	(	(	PUNCT
ejpam-5640	177	2	31	31	NUM
ejpam-5640	177	3	)	)	PUNCT
ejpam-5640	177	4	for	for	ADP
ejpam-5640	177	5	the	the	DET
ejpam-5640	177	6	solution	solution	NOUN
ejpam-5640	177	7	pair	pair	NOUN
ejpam-5640	177	8	u	u	NOUN
ejpam-5640	177	9	(	(	PUNCT
ejpam-5640	177	10	x	x	PROPN
ejpam-5640	177	11	,	,	PUNCT
ejpam-5640	177	12	t	t	PROPN
ejpam-5640	177	13	)	)	PUNCT
ejpam-5640	177	14	under	under	ADP
ejpam-5640	177	15	case	case	NOUN
ejpam-5640	177	16	i.	i.	NOUN
ejpam-5640	177	17	figure	figure	NOUN
ejpam-5640	177	18	2	2	NUM
ejpam-5640	177	19	:	:	PUNCT
ejpam-5640	177	20	pictorial	pictorial	ADJ
ejpam-5640	177	21	depiction	depiction	NOUN
ejpam-5640	177	22	,	,	PUNCT
ejpam-5640	177	23	comparing	compare	VERB
ejpam-5640	177	24	the	the	DET
ejpam-5640	177	25	proposed	propose	VERB
ejpam-5640	177	26	iadm	iadm	ADJ
ejpam-5640	177	27	solution	solution	NOUN
ejpam-5640	177	28	and	and	CCONJ
ejpam-5640	177	29	the	the	DET
ejpam-5640	177	30	exact	exact	ADJ
ejpam-5640	177	31	solution	solution	NOUN
ejpam-5640	177	32	eq	eq	ADP
ejpam-5640	177	33	.	.	PUNCT
ejpam-5640	178	1	(	(	PUNCT
ejpam-5640	178	2	31	31	NUM
ejpam-5640	178	3	)	)	PUNCT
ejpam-5640	178	4	for	for	ADP
ejpam-5640	178	5	the	the	DET
ejpam-5640	178	6	solution	solution	NOUN
ejpam-5640	178	7	pair	pair	NOUN
ejpam-5640	178	8	v	v	NOUN
ejpam-5640	178	9	(	(	PUNCT
ejpam-5640	178	10	x	x	NOUN
ejpam-5640	178	11	,	,	PUNCT
ejpam-5640	178	12	t	t	PROPN
ejpam-5640	178	13	)	)	PUNCT
ejpam-5640	178	14	under	under	ADP
ejpam-5640	178	15	case	case	NOUN
ejpam-5640	178	16	i.	i.	NOUN
ejpam-5640	178	17	figure	figure	NOUN
ejpam-5640	178	18	3	3	NUM
ejpam-5640	178	19	:	:	PUNCT
ejpam-5640	178	20	pictorial	pictorial	ADJ
ejpam-5640	178	21	depiction	depiction	NOUN
ejpam-5640	178	22	,	,	PUNCT
ejpam-5640	178	23	comparing	compare	VERB
ejpam-5640	178	24	the	the	DET
ejpam-5640	178	25	proposed	propose	VERB
ejpam-5640	178	26	iadm	iadm	ADJ
ejpam-5640	178	27	solution	solution	NOUN
ejpam-5640	178	28	and	and	CCONJ
ejpam-5640	178	29	the	the	DET
ejpam-5640	178	30	exact	exact	ADJ
ejpam-5640	178	31	solution	solution	NOUN
ejpam-5640	178	32	eq	eq	ADP
ejpam-5640	178	33	.	.	PUNCT
ejpam-5640	179	1	(	(	PUNCT
ejpam-5640	179	2	31	31	NUM
ejpam-5640	179	3	)	)	PUNCT
ejpam-5640	179	4	for	for	ADP
ejpam-5640	179	5	the	the	DET
ejpam-5640	179	6	solution	solution	NOUN
ejpam-5640	179	7	pair	pair	NOUN
ejpam-5640	179	8	u	u	NOUN
ejpam-5640	179	9	(	(	PUNCT
ejpam-5640	179	10	x	x	PROPN
ejpam-5640	179	11	,	,	PUNCT
ejpam-5640	179	12	t	t	PROPN
ejpam-5640	179	13	)	)	PUNCT
ejpam-5640	179	14	under	under	ADP
ejpam-5640	179	15	case	case	NOUN
ejpam-5640	179	16	ii	ii	PROPN
ejpam-5640	179	17	.	.	PUNCT
ejpam-5640	179	18	a.	a.	PROPN
ejpam-5640	179	19	m.	m.	PROPN
ejpam-5640	179	20	almalki	almalki	ADP
ejpam-5640	179	21	et	et	PROPN
ejpam-5640	179	22	al	al	PROPN
ejpam-5640	179	23	.	.	PUNCT
ejpam-5640	179	24	/	/	SYM
ejpam-5640	179	25	eur	eur	PROPN
ejpam-5640	179	26	.	.	PUNCT
ejpam-5640	180	1	j.	j.	PROPN
ejpam-5640	180	2	pure	pure	PROPN
ejpam-5640	180	3	appl	appl	PROPN
ejpam-5640	180	4	.	.	PROPN
ejpam-5640	180	5	math	math	PROPN
ejpam-5640	180	6	,	,	PUNCT
ejpam-5640	180	7	18	18	NUM
ejpam-5640	180	8	(	(	PUNCT
ejpam-5640	180	9	1	1	NUM
ejpam-5640	180	10	)	)	PUNCT
ejpam-5640	180	11	(	(	PUNCT
ejpam-5640	180	12	2025	2025	NUM
ejpam-5640	180	13	)	)	PUNCT
ejpam-5640	180	14	,	,	PUNCT
ejpam-5640	180	15	5640	5640	NUM
ejpam-5640	180	16	11	11	NUM
ejpam-5640	180	17	of	of	ADP
ejpam-5640	180	18	16	16	NUM
ejpam-5640	180	19	figure	figure	NOUN
ejpam-5640	180	20	4	4	NUM
ejpam-5640	180	21	:	:	PUNCT
ejpam-5640	180	22	pictorial	pictorial	ADJ
ejpam-5640	180	23	depiction	depiction	NOUN
ejpam-5640	180	24	,	,	PUNCT
ejpam-5640	180	25	comparing	compare	VERB
ejpam-5640	180	26	the	the	DET
ejpam-5640	180	27	proposed	propose	VERB
ejpam-5640	180	28	iadm	iadm	ADJ
ejpam-5640	180	29	solution	solution	NOUN
ejpam-5640	180	30	and	and	CCONJ
ejpam-5640	180	31	the	the	DET
ejpam-5640	180	32	exact	exact	ADJ
ejpam-5640	180	33	solution	solution	NOUN
ejpam-5640	180	34	eq	eq	ADP
ejpam-5640	180	35	.	.	PUNCT
ejpam-5640	181	1	(	(	PUNCT
ejpam-5640	181	2	31	31	NUM
ejpam-5640	181	3	)	)	PUNCT
ejpam-5640	181	4	for	for	ADP
ejpam-5640	181	5	the	the	DET
ejpam-5640	181	6	solution	solution	NOUN
ejpam-5640	181	7	pair	pair	NOUN
ejpam-5640	181	8	v	v	NOUN
ejpam-5640	181	9	(	(	PUNCT
ejpam-5640	181	10	x	x	NOUN
ejpam-5640	181	11	,	,	PUNCT
ejpam-5640	181	12	t	t	PROPN
ejpam-5640	181	13	)	)	PUNCT
ejpam-5640	181	14	under	under	ADP
ejpam-5640	181	15	case	case	NOUN
ejpam-5640	181	16	ii	ii	PROPN
ejpam-5640	181	17	.	.	PUNCT
ejpam-5640	181	18	figure	figure	NOUN
ejpam-5640	181	19	5	5	NUM
ejpam-5640	181	20	:	:	PUNCT
ejpam-5640	181	21	pictorial	pictorial	ADJ
ejpam-5640	181	22	depiction	depiction	NOUN
ejpam-5640	181	23	,	,	PUNCT
ejpam-5640	181	24	comparing	compare	VERB
ejpam-5640	181	25	the	the	DET
ejpam-5640	181	26	proposed	propose	VERB
ejpam-5640	181	27	iadm	iadm	ADJ
ejpam-5640	181	28	solution	solution	NOUN
ejpam-5640	181	29	and	and	CCONJ
ejpam-5640	181	30	the	the	DET
ejpam-5640	181	31	exact	exact	ADJ
ejpam-5640	181	32	solution	solution	NOUN
ejpam-5640	181	33	eq	eq	ADP
ejpam-5640	181	34	.	.	PUNCT
ejpam-5640	182	1	(	(	PUNCT
ejpam-5640	182	2	32	32	NUM
ejpam-5640	182	3	)	)	PUNCT
ejpam-5640	182	4	for	for	ADP
ejpam-5640	182	5	the	the	DET
ejpam-5640	182	6	solution	solution	NOUN
ejpam-5640	182	7	pair	pair	NOUN
ejpam-5640	182	8	u	u	NOUN
ejpam-5640	182	9	(	(	PUNCT
ejpam-5640	182	10	x	x	PROPN
ejpam-5640	182	11	,	,	PUNCT
ejpam-5640	182	12	t	t	PROPN
ejpam-5640	182	13	)	)	PUNCT
ejpam-5640	182	14	under	under	ADP
ejpam-5640	182	15	case	case	NOUN
ejpam-5640	182	16	i.	i.	NOUN
ejpam-5640	182	17	figure	figure	NOUN
ejpam-5640	182	18	6	6	NUM
ejpam-5640	182	19	:	:	PUNCT
ejpam-5640	182	20	pictorial	pictorial	ADJ
ejpam-5640	182	21	depiction	depiction	NOUN
ejpam-5640	182	22	,	,	PUNCT
ejpam-5640	182	23	comparing	compare	VERB
ejpam-5640	182	24	the	the	DET
ejpam-5640	182	25	proposed	propose	VERB
ejpam-5640	182	26	iadm	iadm	ADJ
ejpam-5640	182	27	solution	solution	NOUN
ejpam-5640	182	28	and	and	CCONJ
ejpam-5640	182	29	the	the	DET
ejpam-5640	182	30	exact	exact	ADJ
ejpam-5640	182	31	solution	solution	NOUN
ejpam-5640	182	32	eq	eq	ADP
ejpam-5640	182	33	.	.	PUNCT
ejpam-5640	183	1	(	(	PUNCT
ejpam-5640	183	2	32	32	NUM
ejpam-5640	183	3	)	)	PUNCT
ejpam-5640	183	4	for	for	ADP
ejpam-5640	183	5	the	the	DET
ejpam-5640	183	6	solution	solution	NOUN
ejpam-5640	183	7	pair	pair	NOUN
ejpam-5640	183	8	v	v	NOUN
ejpam-5640	183	9	(	(	PUNCT
ejpam-5640	183	10	x	x	NOUN
ejpam-5640	183	11	,	,	PUNCT
ejpam-5640	183	12	t	t	PROPN
ejpam-5640	183	13	)	)	PUNCT
ejpam-5640	183	14	under	under	ADP
ejpam-5640	183	15	case	case	NOUN
ejpam-5640	183	16	i.	i.	PROPN
ejpam-5640	183	17	a.	a.	PROPN
ejpam-5640	183	18	m.	m.	PROPN
ejpam-5640	183	19	almalki	almalki	ADP
ejpam-5640	183	20	et	et	PROPN
ejpam-5640	183	21	al	al	PROPN
ejpam-5640	183	22	.	.	PUNCT
ejpam-5640	183	23	/	/	SYM
ejpam-5640	183	24	eur	eur	PROPN
ejpam-5640	183	25	.	.	PUNCT
ejpam-5640	184	1	j.	j.	PROPN
ejpam-5640	184	2	pure	pure	PROPN
ejpam-5640	184	3	appl	appl	PROPN
ejpam-5640	184	4	.	.	PROPN
ejpam-5640	184	5	math	math	PROPN
ejpam-5640	184	6	,	,	PUNCT
ejpam-5640	184	7	18	18	NUM
ejpam-5640	184	8	(	(	PUNCT
ejpam-5640	184	9	1	1	NUM
ejpam-5640	184	10	)	)	PUNCT
ejpam-5640	184	11	(	(	PUNCT
ejpam-5640	184	12	2025	2025	NUM
ejpam-5640	184	13	)	)	PUNCT
ejpam-5640	184	14	,	,	PUNCT
ejpam-5640	184	15	5640	5640	NUM
ejpam-5640	184	16	12	12	NUM
ejpam-5640	184	17	of	of	ADP
ejpam-5640	184	18	16	16	NUM
ejpam-5640	184	19	figure	figure	NOUN
ejpam-5640	184	20	7	7	NUM
ejpam-5640	184	21	:	:	PUNCT
ejpam-5640	184	22	pictorial	pictorial	ADJ
ejpam-5640	184	23	depiction	depiction	NOUN
ejpam-5640	184	24	,	,	PUNCT
ejpam-5640	184	25	comparing	compare	VERB
ejpam-5640	184	26	the	the	DET
ejpam-5640	184	27	proposed	propose	VERB
ejpam-5640	184	28	iadm	iadm	ADJ
ejpam-5640	184	29	solution	solution	NOUN
ejpam-5640	184	30	and	and	CCONJ
ejpam-5640	184	31	the	the	DET
ejpam-5640	184	32	exact	exact	ADJ
ejpam-5640	184	33	solution	solution	NOUN
ejpam-5640	184	34	eq	eq	ADP
ejpam-5640	184	35	.	.	PUNCT
ejpam-5640	184	36	(	(	PUNCT
ejpam-5640	184	37	32	32	NUM
ejpam-5640	184	38	)	)	PUNCT
ejpam-5640	184	39	for	for	ADP
ejpam-5640	184	40	the	the	DET
ejpam-5640	184	41	solution	solution	NOUN
ejpam-5640	184	42	pair	pair	NOUN
ejpam-5640	184	43	u	u	NOUN
ejpam-5640	184	44	(	(	PUNCT
ejpam-5640	184	45	x	x	PROPN
ejpam-5640	184	46	,	,	PUNCT
ejpam-5640	184	47	t	t	PROPN
ejpam-5640	184	48	)	)	PUNCT
ejpam-5640	184	49	under	under	ADP
ejpam-5640	184	50	case	case	NOUN
ejpam-5640	184	51	ii	ii	PROPN
ejpam-5640	184	52	.	.	PUNCT
ejpam-5640	184	53	figure	figure	NOUN
ejpam-5640	184	54	8	8	NUM
ejpam-5640	184	55	:	:	PUNCT
ejpam-5640	184	56	pictorial	pictorial	ADJ
ejpam-5640	184	57	depiction	depiction	NOUN
ejpam-5640	184	58	,	,	PUNCT
ejpam-5640	184	59	comparing	compare	VERB
ejpam-5640	184	60	the	the	DET
ejpam-5640	184	61	proposed	propose	VERB
ejpam-5640	184	62	iadm	iadm	ADJ
ejpam-5640	184	63	solution	solution	NOUN
ejpam-5640	184	64	and	and	CCONJ
ejpam-5640	184	65	the	the	DET
ejpam-5640	184	66	exact	exact	ADJ
ejpam-5640	184	67	solution	solution	NOUN
ejpam-5640	184	68	eq	eq	ADP
ejpam-5640	184	69	.	.	PUNCT
ejpam-5640	184	70	(	(	PUNCT
ejpam-5640	184	71	32	32	NUM
ejpam-5640	184	72	)	)	PUNCT
ejpam-5640	184	73	for	for	ADP
ejpam-5640	184	74	the	the	DET
ejpam-5640	184	75	solution	solution	NOUN
ejpam-5640	184	76	pair	pair	NOUN
ejpam-5640	184	77	v	v	NOUN
ejpam-5640	184	78	(	(	PUNCT
ejpam-5640	184	79	x	x	NOUN
ejpam-5640	184	80	,	,	PUNCT
ejpam-5640	184	81	t	t	PROPN
ejpam-5640	184	82	)	)	PUNCT
ejpam-5640	184	83	under	under	ADP
ejpam-5640	184	84	case	case	NOUN
ejpam-5640	184	85	ii	ii	PROPN
ejpam-5640	184	86	.	.	PUNCT
ejpam-5640	184	87	figure	figure	VERB
ejpam-5640	184	88	9	9	NUM
ejpam-5640	184	89	:	:	PUNCT
ejpam-5640	184	90	pictorial	pictorial	ADJ
ejpam-5640	184	91	depiction	depiction	NOUN
ejpam-5640	184	92	,	,	PUNCT
ejpam-5640	184	93	comparing	compare	VERB
ejpam-5640	184	94	the	the	DET
ejpam-5640	184	95	proposed	propose	VERB
ejpam-5640	184	96	iadm	iadm	ADJ
ejpam-5640	184	97	solution	solution	NOUN
ejpam-5640	184	98	and	and	CCONJ
ejpam-5640	184	99	the	the	DET
ejpam-5640	184	100	exact	exact	ADJ
ejpam-5640	184	101	solution	solution	NOUN
ejpam-5640	184	102	eq	eq	ADP
ejpam-5640	184	103	.	.	PUNCT
ejpam-5640	185	1	(	(	PUNCT
ejpam-5640	185	2	33	33	NUM
ejpam-5640	185	3	)	)	PUNCT
ejpam-5640	185	4	for	for	ADP
ejpam-5640	185	5	the	the	DET
ejpam-5640	185	6	solution	solution	NOUN
ejpam-5640	185	7	pair	pair	NOUN
ejpam-5640	185	8	u	u	NOUN
ejpam-5640	185	9	(	(	PUNCT
ejpam-5640	185	10	x	x	PROPN
ejpam-5640	185	11	,	,	PUNCT
ejpam-5640	185	12	t	t	PROPN
ejpam-5640	185	13	)	)	PUNCT
ejpam-5640	185	14	under	under	ADP
ejpam-5640	185	15	case	case	NOUN
ejpam-5640	185	16	i.	i.	PROPN
ejpam-5640	185	17	a.	a.	PROPN
ejpam-5640	185	18	m.	m.	PROPN
ejpam-5640	185	19	almalki	almalki	ADP
ejpam-5640	185	20	et	et	PROPN
ejpam-5640	185	21	al	al	PROPN
ejpam-5640	185	22	.	.	PUNCT
ejpam-5640	185	23	/	/	SYM
ejpam-5640	185	24	eur	eur	PROPN
ejpam-5640	185	25	.	.	PUNCT
ejpam-5640	186	1	j.	j.	PROPN
ejpam-5640	186	2	pure	pure	PROPN
ejpam-5640	186	3	appl	appl	PROPN
ejpam-5640	186	4	.	.	PROPN
ejpam-5640	186	5	math	math	PROPN
ejpam-5640	186	6	,	,	PUNCT
ejpam-5640	186	7	18	18	NUM
ejpam-5640	186	8	(	(	PUNCT
ejpam-5640	186	9	1	1	NUM
ejpam-5640	186	10	)	)	PUNCT
ejpam-5640	186	11	(	(	PUNCT
ejpam-5640	186	12	2025	2025	NUM
ejpam-5640	186	13	)	)	PUNCT
ejpam-5640	186	14	,	,	PUNCT
ejpam-5640	186	15	5640	5640	NUM
ejpam-5640	186	16	13	13	NUM
ejpam-5640	186	17	of	of	ADP
ejpam-5640	186	18	16	16	NUM
ejpam-5640	186	19	figure	figure	NOUN
ejpam-5640	186	20	10	10	NUM
ejpam-5640	186	21	:	:	PUNCT
ejpam-5640	186	22	pictorial	pictorial	ADJ
ejpam-5640	186	23	depiction	depiction	NOUN
ejpam-5640	186	24	,	,	PUNCT
ejpam-5640	186	25	comparing	compare	VERB
ejpam-5640	186	26	the	the	DET
ejpam-5640	186	27	proposed	propose	VERB
ejpam-5640	186	28	iadm	iadm	ADJ
ejpam-5640	186	29	solution	solution	NOUN
ejpam-5640	186	30	and	and	CCONJ
ejpam-5640	186	31	the	the	DET
ejpam-5640	186	32	exact	exact	ADJ
ejpam-5640	186	33	solution	solution	NOUN
ejpam-5640	186	34	eq	eq	ADP
ejpam-5640	186	35	.	.	PUNCT
ejpam-5640	187	1	(	(	PUNCT
ejpam-5640	187	2	33	33	NUM
ejpam-5640	187	3	)	)	PUNCT
ejpam-5640	187	4	for	for	ADP
ejpam-5640	187	5	the	the	DET
ejpam-5640	187	6	solution	solution	NOUN
ejpam-5640	187	7	pair	pair	NOUN
ejpam-5640	187	8	v	v	NOUN
ejpam-5640	187	9	(	(	PUNCT
ejpam-5640	187	10	x	x	NOUN
ejpam-5640	187	11	,	,	PUNCT
ejpam-5640	187	12	t	t	PROPN
ejpam-5640	187	13	)	)	PUNCT
ejpam-5640	187	14	under	under	ADP
ejpam-5640	187	15	case	case	NOUN
ejpam-5640	187	16	i.	i.	NOUN
ejpam-5640	187	17	figure	figure	NOUN
ejpam-5640	187	18	11	11	NUM
ejpam-5640	187	19	:	:	PUNCT
ejpam-5640	187	20	pictorial	pictorial	ADJ
ejpam-5640	187	21	depiction	depiction	NOUN
ejpam-5640	187	22	,	,	PUNCT
ejpam-5640	187	23	comparing	compare	VERB
ejpam-5640	187	24	the	the	DET
ejpam-5640	187	25	proposed	propose	VERB
ejpam-5640	187	26	iadm	iadm	ADJ
ejpam-5640	187	27	solution	solution	NOUN
ejpam-5640	187	28	and	and	CCONJ
ejpam-5640	187	29	the	the	DET
ejpam-5640	187	30	exact	exact	ADJ
ejpam-5640	187	31	solution	solution	NOUN
ejpam-5640	187	32	eq	eq	ADP
ejpam-5640	187	33	.	.	PUNCT
ejpam-5640	188	1	(	(	PUNCT
ejpam-5640	188	2	33	33	NUM
ejpam-5640	188	3	)	)	PUNCT
ejpam-5640	188	4	for	for	ADP
ejpam-5640	188	5	the	the	DET
ejpam-5640	188	6	solution	solution	NOUN
ejpam-5640	188	7	pair	pair	NOUN
ejpam-5640	188	8	u	u	NOUN
ejpam-5640	188	9	(	(	PUNCT
ejpam-5640	188	10	x	x	PROPN
ejpam-5640	188	11	,	,	PUNCT
ejpam-5640	188	12	t	t	PROPN
ejpam-5640	188	13	)	)	PUNCT
ejpam-5640	188	14	under	under	ADP
ejpam-5640	188	15	case	case	NOUN
ejpam-5640	188	16	ii	ii	PROPN
ejpam-5640	188	17	.	.	PUNCT
ejpam-5640	188	18	figure	figure	NOUN
ejpam-5640	188	19	12	12	NUM
ejpam-5640	188	20	:	:	PUNCT
ejpam-5640	188	21	pictorial	pictorial	ADJ
ejpam-5640	188	22	depiction	depiction	NOUN
ejpam-5640	188	23	,	,	PUNCT
ejpam-5640	188	24	comparing	compare	VERB
ejpam-5640	188	25	the	the	DET
ejpam-5640	188	26	proposed	propose	VERB
ejpam-5640	188	27	iadm	iadm	ADJ
ejpam-5640	188	28	solution	solution	NOUN
ejpam-5640	188	29	and	and	CCONJ
ejpam-5640	188	30	the	the	DET
ejpam-5640	188	31	exact	exact	ADJ
ejpam-5640	188	32	solution	solution	NOUN
ejpam-5640	188	33	eq	eq	ADP
ejpam-5640	188	34	.	.	PUNCT
ejpam-5640	189	1	(	(	PUNCT
ejpam-5640	189	2	33	33	NUM
ejpam-5640	189	3	)	)	PUNCT
ejpam-5640	189	4	for	for	ADP
ejpam-5640	189	5	the	the	DET
ejpam-5640	189	6	solution	solution	NOUN
ejpam-5640	189	7	pair	pair	NOUN
ejpam-5640	189	8	v	v	NOUN
ejpam-5640	189	9	(	(	PUNCT
ejpam-5640	189	10	x	x	NOUN
ejpam-5640	189	11	,	,	PUNCT
ejpam-5640	189	12	t	t	PROPN
ejpam-5640	189	13	)	)	PUNCT
ejpam-5640	189	14	under	under	ADP
ejpam-5640	189	15	case	case	NOUN
ejpam-5640	189	16	ii	ii	PROPN
ejpam-5640	189	17	.	.	PUNCT
ejpam-5640	189	18	a.	a.	PROPN
ejpam-5640	189	19	m.	m.	PROPN
ejpam-5640	189	20	almalki	almalki	ADP
ejpam-5640	189	21	et	et	PROPN
ejpam-5640	189	22	al	al	PROPN
ejpam-5640	189	23	.	.	PUNCT
ejpam-5640	189	24	/	/	SYM
ejpam-5640	189	25	eur	eur	PROPN
ejpam-5640	189	26	.	.	PUNCT
ejpam-5640	190	1	j.	j.	PROPN
ejpam-5640	190	2	pure	pure	PROPN
ejpam-5640	190	3	appl	appl	PROPN
ejpam-5640	190	4	.	.	PROPN
ejpam-5640	190	5	math	math	PROPN
ejpam-5640	190	6	,	,	PUNCT
ejpam-5640	190	7	18	18	NUM
ejpam-5640	190	8	(	(	PUNCT
ejpam-5640	190	9	1	1	NUM
ejpam-5640	190	10	)	)	PUNCT
ejpam-5640	190	11	(	(	PUNCT
ejpam-5640	190	12	2025	2025	NUM
ejpam-5640	190	13	)	)	PUNCT
ejpam-5640	190	14	,	,	PUNCT
ejpam-5640	190	15	5640	5640	NUM
ejpam-5640	190	16	14	14	NUM
ejpam-5640	190	17	of	of	ADP
ejpam-5640	190	18	16	16	NUM
ejpam-5640	190	19	6	6	NUM
ejpam-5640	190	20	.	.	PUNCT
ejpam-5640	191	1	conclusion	conclusion	NOUN
ejpam-5640	191	2	birefringent	birefringent	VERB
ejpam-5640	191	3	optical	optical	ADJ
ejpam-5640	191	4	fiber	fiber	NOUN
ejpam-5640	191	5	is	be	AUX
ejpam-5640	191	6	a	a	DET
ejpam-5640	191	7	significant	significant	ADJ
ejpam-5640	191	8	topic	topic	NOUN
ejpam-5640	191	9	in	in	ADP
ejpam-5640	191	10	the	the	DET
ejpam-5640	191	11	realm	realm	NOUN
ejpam-5640	191	12	of	of	ADP
ejpam-5640	191	13	optical	optical	ADJ
ejpam-5640	191	14	communication	communication	NOUN
ejpam-5640	191	15	.	.	PUNCT
ejpam-5640	192	1	in	in	ADP
ejpam-5640	192	2	this	this	DET
ejpam-5640	192	3	study	study	NOUN
ejpam-5640	192	4	,	,	PUNCT
ejpam-5640	192	5	we	we	PRON
ejpam-5640	192	6	conducted	conduct	VERB
ejpam-5640	192	7	numerical	numerical	ADJ
ejpam-5640	192	8	simulations	simulation	NOUN
ejpam-5640	192	9	using	use	VERB
ejpam-5640	192	10	the	the	DET
ejpam-5640	192	11	promising	promising	ADJ
ejpam-5640	192	12	iadm	iadm	NOUN
ejpam-5640	192	13	,	,	PUNCT
ejpam-5640	192	14	which	which	PRON
ejpam-5640	192	15	demonstrated	demonstrate	VERB
ejpam-5640	192	16	high	high	ADJ
ejpam-5640	192	17	accuracy	accuracy	NOUN
ejpam-5640	192	18	in	in	ADP
ejpam-5640	192	19	results	result	NOUN
ejpam-5640	192	20	.	.	PUNCT
ejpam-5640	193	1	we	we	PRON
ejpam-5640	193	2	focused	focus	VERB
ejpam-5640	193	3	on	on	ADP
ejpam-5640	193	4	the	the	DET
ejpam-5640	193	5	coupled	couple	VERB
ejpam-5640	193	6	cq	cq	PROPN
ejpam-5640	193	7	nlses	nlse	NOUN
ejpam-5640	193	8	exhibiting	exhibit	VERB
ejpam-5640	193	9	kerr	kerr	PROPN
ejpam-5640	193	10	-	-	PUNCT
ejpam-5640	193	11	law	law	NOUN
ejpam-5640	193	12	refractive	refractive	ADJ
ejpam-5640	193	13	index	index	NOUN
ejpam-5640	193	14	nonlinearity	nonlinearity	NOUN
ejpam-5640	193	15	to	to	PART
ejpam-5640	193	16	analyze	analyze	VERB
ejpam-5640	193	17	optical	optical	ADJ
ejpam-5640	193	18	pulse	pulse	NOUN
ejpam-5640	193	19	transmission	transmission	NOUN
ejpam-5640	193	20	in	in	ADP
ejpam-5640	193	21	birefringent	birefringent	NOUN
ejpam-5640	193	22	fibers	fiber	NOUN
ejpam-5640	193	23	.	.	PUNCT
ejpam-5640	194	1	additionally	additionally	ADV
ejpam-5640	194	2	,	,	PUNCT
ejpam-5640	194	3	certain	certain	ADJ
ejpam-5640	194	4	analytically	analytically	ADV
ejpam-5640	194	5	derived	derive	VERB
ejpam-5640	194	6	soliton	soliton	NOUN
ejpam-5640	194	7	solutions	solution	NOUN
ejpam-5640	194	8	proposed	propose	VERB
ejpam-5640	194	9	by	by	ADP
ejpam-5640	194	10	the	the	DET
ejpam-5640	194	11	edam	edam	NOUN
ejpam-5640	194	12	were	be	AUX
ejpam-5640	194	13	used	use	VERB
ejpam-5640	194	14	as	as	ADP
ejpam-5640	194	15	benchmark	benchmark	ADJ
ejpam-5640	194	16	solutions	solution	NOUN
ejpam-5640	194	17	for	for	ADP
ejpam-5640	194	18	validation	validation	NOUN
ejpam-5640	194	19	.	.	PUNCT
ejpam-5640	195	1	the	the	DET
ejpam-5640	195	2	proposed	propose	VERB
ejpam-5640	195	3	iadm	iadm	PROPN
ejpam-5640	195	4	scheme	scheme	NOUN
ejpam-5640	195	5	effectively	effectively	ADV
ejpam-5640	195	6	approximated	approximate	VERB
ejpam-5640	195	7	the	the	DET
ejpam-5640	195	8	sought	seek	VERB
ejpam-5640	195	9	-	-	PUNCT
ejpam-5640	195	10	after	after	ADP
ejpam-5640	195	11	analytical	analytical	ADJ
ejpam-5640	195	12	structures	structure	NOUN
ejpam-5640	195	13	.	.	PUNCT
ejpam-5640	196	1	moreover	moreover	ADV
ejpam-5640	196	2	,	,	PUNCT
ejpam-5640	196	3	considering	consider	VERB
ejpam-5640	196	4	the	the	DET
ejpam-5640	196	5	relative	relative	ADJ
ejpam-5640	196	6	error	error	NOUN
ejpam-5640	196	7	associated	associate	VERB
ejpam-5640	196	8	with	with	ADP
ejpam-5640	196	9	the	the	DET
ejpam-5640	196	10	devised	devise	VERB
ejpam-5640	196	11	numerical	numerical	ADJ
ejpam-5640	196	12	scheme	scheme	NOUN
ejpam-5640	196	13	,	,	PUNCT
ejpam-5640	196	14	the	the	DET
ejpam-5640	196	15	study	study	NOUN
ejpam-5640	196	16	concludes	conclude	VERB
ejpam-5640	196	17	that	that	SCONJ
ejpam-5640	196	18	the	the	DET
ejpam-5640	196	19	application	application	NOUN
ejpam-5640	196	20	of	of	ADP
ejpam-5640	196	21	the	the	DET
ejpam-5640	196	22	proposed	propose	VERB
ejpam-5640	196	23	method	method	NOUN
ejpam-5640	196	24	should	should	AUX
ejpam-5640	196	25	be	be	AUX
ejpam-5640	196	26	extended	extend	VERB
ejpam-5640	196	27	to	to	ADP
ejpam-5640	196	28	high	high	ADJ
ejpam-5640	196	29	-	-	PUNCT
ejpam-5640	196	30	order	order	NOUN
ejpam-5640	196	31	complex	complex	NOUN
ejpam-5640	196	32	-	-	PUNCT
ejpam-5640	196	33	valued	value	VERB
ejpam-5640	196	34	evolutionary	evolutionary	ADJ
ejpam-5640	196	35	equations	equation	NOUN
ejpam-5640	196	36	involving	involve	VERB
ejpam-5640	196	37	various	various	ADJ
ejpam-5640	196	38	nonlinearities	nonlinearitie	NOUN
ejpam-5640	196	39	.	.	PUNCT
ejpam-5640	197	1	furthermore	furthermore	ADV
ejpam-5640	197	2	,	,	PUNCT
ejpam-5640	197	3	this	this	DET
ejpam-5640	197	4	study	study	NOUN
ejpam-5640	197	5	aims	aim	VERB
ejpam-5640	197	6	to	to	PART
ejpam-5640	197	7	provide	provide	VERB
ejpam-5640	197	8	insights	insight	NOUN
ejpam-5640	197	9	into	into	ADP
ejpam-5640	197	10	the	the	DET
ejpam-5640	197	11	dynamics	dynamic	NOUN
ejpam-5640	197	12	of	of	ADP
ejpam-5640	197	13	pulse	pulse	NOUN
ejpam-5640	197	14	propagation	propagation	NOUN
ejpam-5640	197	15	in	in	ADP
ejpam-5640	197	16	birefringent	birefringent	NOUN
ejpam-5640	197	17	fibers	fiber	NOUN
ejpam-5640	197	18	,	,	PUNCT
ejpam-5640	197	19	particularly	particularly	ADV
ejpam-5640	197	20	in	in	ADP
ejpam-5640	197	21	relation	relation	NOUN
ejpam-5640	197	22	to	to	ADP
ejpam-5640	197	23	changes	change	NOUN
ejpam-5640	197	24	in	in	ADP
ejpam-5640	197	25	fiber	fiber	NOUN
ejpam-5640	197	26	diameter	diameter	NOUN
ejpam-5640	197	27	,	,	PUNCT
ejpam-5640	197	28	non	non	NOUN
ejpam-5640	197	29	-	-	NOUN
ejpam-5640	197	30	uniformities	uniformity	NOUN
ejpam-5640	197	31	,	,	PUNCT
ejpam-5640	197	32	and	and	CCONJ
ejpam-5640	197	33	other	other	ADJ
ejpam-5640	197	34	technical	technical	ADJ
ejpam-5640	197	35	defects	defect	NOUN
ejpam-5640	197	36	.	.	PUNCT
ejpam-5640	198	1	looking	look	VERB
ejpam-5640	198	2	ahead	ahead	ADV
ejpam-5640	198	3	,	,	PUNCT
ejpam-5640	198	4	this	this	DET
ejpam-5640	198	5	work	work	NOUN
ejpam-5640	198	6	paves	pave	VERB
ejpam-5640	198	7	the	the	DET
ejpam-5640	198	8	way	way	NOUN
ejpam-5640	198	9	for	for	SCONJ
ejpam-5640	198	10	future	future	ADJ
ejpam-5640	198	11	research	research	NOUN
ejpam-5640	198	12	to	to	PART
ejpam-5640	198	13	explore	explore	VERB
ejpam-5640	198	14	more	more	ADV
ejpam-5640	198	15	complex	complex	ADJ
ejpam-5640	198	16	nonlinear	nonlinear	ADJ
ejpam-5640	198	17	interactions	interaction	NOUN
ejpam-5640	198	18	and	and	CCONJ
ejpam-5640	198	19	dynamics	dynamic	NOUN
ejpam-5640	198	20	that	that	PRON
ejpam-5640	198	21	arise	arise	VERB
ejpam-5640	198	22	in	in	ADP
ejpam-5640	198	23	different	different	ADJ
ejpam-5640	198	24	types	type	NOUN
ejpam-5640	198	25	of	of	ADP
ejpam-5640	198	26	fiber	fiber	NOUN
ejpam-5640	198	27	materials	material	NOUN
ejpam-5640	198	28	.	.	PUNCT
ejpam-5640	199	1	it	it	PRON
ejpam-5640	199	2	also	also	ADV
ejpam-5640	199	3	opens	open	VERB
ejpam-5640	199	4	avenues	avenue	NOUN
ejpam-5640	199	5	for	for	ADP
ejpam-5640	199	6	investigating	investigate	VERB
ejpam-5640	199	7	the	the	DET
ejpam-5640	199	8	influence	influence	NOUN
ejpam-5640	199	9	of	of	ADP
ejpam-5640	199	10	external	external	ADJ
ejpam-5640	199	11	factors	factor	NOUN
ejpam-5640	199	12	,	,	PUNCT
ejpam-5640	199	13	such	such	ADJ
ejpam-5640	199	14	as	as	ADP
ejpam-5640	199	15	varying	vary	VERB
ejpam-5640	199	16	temperature	temperature	NOUN
ejpam-5640	199	17	and	and	CCONJ
ejpam-5640	199	18	fiber	fiber	NOUN
ejpam-5640	199	19	configuration	configuration	NOUN
ejpam-5640	199	20	,	,	PUNCT
ejpam-5640	199	21	on	on	ADP
ejpam-5640	199	22	solitonic	solitonic	ADJ
ejpam-5640	199	23	behavior	behavior	NOUN
ejpam-5640	199	24	.	.	PUNCT
ejpam-5640	200	1	additionally	additionally	ADV
ejpam-5640	200	2	,	,	PUNCT
ejpam-5640	200	3	the	the	DET
ejpam-5640	200	4	methodology	methodology	NOUN
ejpam-5640	200	5	can	can	AUX
ejpam-5640	200	6	be	be	AUX
ejpam-5640	200	7	adapted	adapt	VERB
ejpam-5640	200	8	to	to	PART
ejpam-5640	200	9	study	study	VERB
ejpam-5640	200	10	other	other	ADJ
ejpam-5640	200	11	nonlinear	nonlinear	ADJ
ejpam-5640	200	12	phenomena	phenomenon	NOUN
ejpam-5640	200	13	in	in	ADP
ejpam-5640	200	14	different	different	ADJ
ejpam-5640	200	15	contexts	contexts	NOUN
ejpam-5640	200	16	,	,	PUNCT
ejpam-5640	200	17	potentially	potentially	ADV
ejpam-5640	200	18	leading	lead	VERB
ejpam-5640	200	19	to	to	ADP
ejpam-5640	200	20	innovations	innovation	NOUN
ejpam-5640	200	21	in	in	ADP
ejpam-5640	200	22	optical	optical	ADJ
ejpam-5640	200	23	technology	technology	NOUN
ejpam-5640	200	24	,	,	PUNCT
ejpam-5640	200	25	and	and	CCONJ
ejpam-5640	200	26	enhanced	enhanced	ADJ
ejpam-5640	200	27	signal	signal	ADJ
ejpam-5640	200	28	processing	processing	NOUN
ejpam-5640	200	29	applications	application	NOUN
ejpam-5640	200	30	.	.	PUNCT
ejpam-5640	201	1	references	reference	NOUN
ejpam-5640	201	2	[	[	X
ejpam-5640	201	3	1	1	NUM
ejpam-5640	201	4	]	]	PUNCT
ejpam-5640	201	5	g.	g.	PROPN
ejpam-5640	201	6	p.	p.	PROPN
ejpam-5640	201	7	agrawal	agrawal	PROPN
ejpam-5640	201	8	.	.	PUNCT
ejpam-5640	202	1	nonlinear	nonlinear	ADJ
ejpam-5640	202	2	fiber	fiber	NOUN
ejpam-5640	202	3	optics	optic	NOUN
ejpam-5640	202	4	.	.	PUNCT
ejpam-5640	203	1	academic	academic	ADJ
ejpam-5640	203	2	press	press	NOUN
ejpam-5640	203	3	,	,	PUNCT
ejpam-5640	203	4	new	new	PROPN
ejpam-5640	203	5	york	york	PROPN
ejpam-5640	203	6	,	,	PUNCT
ejpam-5640	203	7	2007	2007	NUM
ejpam-5640	203	8	.	.	PUNCT
ejpam-5640	204	1	[	[	X
ejpam-5640	204	2	2	2	NUM
ejpam-5640	204	3	]	]	PUNCT
ejpam-5640	204	4	a.	a.	NOUN
ejpam-5640	204	5	alshaery	alshaery	PROPN
ejpam-5640	204	6	and	and	CCONJ
ejpam-5640	204	7	a.	a.	PROPN
ejpam-5640	204	8	ebaid	ebaid	PROPN
ejpam-5640	204	9	.	.	PUNCT
ejpam-5640	205	1	accurate	accurate	ADJ
ejpam-5640	205	2	analytical	analytical	ADJ
ejpam-5640	205	3	periodic	periodic	ADJ
ejpam-5640	205	4	solution	solution	NOUN
ejpam-5640	205	5	of	of	ADP
ejpam-5640	205	6	the	the	DET
ejpam-5640	205	7	elliptical	elliptical	ADJ
ejpam-5640	205	8	kepler	kepler	NOUN
ejpam-5640	205	9	equation	equation	NOUN
ejpam-5640	205	10	using	use	VERB
ejpam-5640	205	11	the	the	DET
ejpam-5640	205	12	adomian	adomian	NOUN
ejpam-5640	205	13	decomposition	decomposition	NOUN
ejpam-5640	205	14	method	method	NOUN
ejpam-5640	205	15	.	.	PUNCT
ejpam-5640	206	1	acta	acta	PROPN
ejpam-5640	206	2	astronautica	astronautica	PROPN
ejpam-5640	206	3	,	,	PUNCT
ejpam-5640	206	4	140:27–33	140:27–33	NUM
ejpam-5640	206	5	,	,	PUNCT
ejpam-5640	206	6	2017	2017	NUM
ejpam-5640	206	7	.	.	PUNCT
ejpam-5640	207	1	[	[	X
ejpam-5640	207	2	3	3	X
ejpam-5640	207	3	]	]	X
ejpam-5640	207	4	b.	b.	PROPN
ejpam-5640	207	5	anjan	anjan	PROPN
ejpam-5640	207	6	,	,	PUNCT
ejpam-5640	207	7	y.	y.	PROPN
ejpam-5640	207	8	yakup	yakup	PROPN
ejpam-5640	207	9	,	,	PUNCT
ejpam-5640	207	10	m.	m.	PROPN
ejpam-5640	207	11	luminita	luminita	PROPN
ejpam-5640	207	12	,	,	PUNCT
ejpam-5640	207	13	i.	i.	NOUN
ejpam-5640	207	14	catalina	catalina	PROPN
ejpam-5640	207	15	,	,	PUNCT
ejpam-5640	207	16	g.	g.	PROPN
ejpam-5640	207	17	p.	p.	PROPN
ejpam-5640	207	18	lucian	lucian	PROPN
ejpam-5640	207	19	,	,	PUNCT
ejpam-5640	207	20	and	and	CCONJ
ejpam-5640	207	21	a.	a.	PROPN
ejpam-5640	207	22	asim	asim	PROPN
ejpam-5640	207	23	.	.	PUNCT
ejpam-5640	208	1	optical	optical	ADJ
ejpam-5640	208	2	solitons	soliton	NOUN
ejpam-5640	208	3	and	and	CCONJ
ejpam-5640	208	4	complexitons	complexiton	NOUN
ejpam-5640	208	5	for	for	ADP
ejpam-5640	208	6	the	the	DET
ejpam-5640	208	7	concatenation	concatenation	NOUN
ejpam-5640	208	8	model	model	NOUN
ejpam-5640	208	9	in	in	ADP
ejpam-5640	208	10	birefringent	birefringent	NOUN
ejpam-5640	208	11	fibers	fiber	NOUN
ejpam-5640	208	12	.	.	PUNCT
ejpam-5640	209	1	ukrainian	ukrainian	ADJ
ejpam-5640	209	2	journal	journal	PROPN
ejpam-5640	209	3	of	of	ADP
ejpam-5640	209	4	physical	physical	ADJ
ejpam-5640	209	5	optics	optic	NOUN
ejpam-5640	209	6	,	,	PUNCT
ejpam-5640	209	7	24(4	24(4	NUM
ejpam-5640	209	8	)	)	PUNCT
ejpam-5640	209	9	,	,	PUNCT
ejpam-5640	209	10	2023	2023	NUM
ejpam-5640	209	11	.	.	PUNCT
ejpam-5640	210	1	[	[	X
ejpam-5640	210	2	4	4	NUM
ejpam-5640	210	3	]	]	PUNCT
ejpam-5640	210	4	a.	a.	NOUN
ejpam-5640	210	5	h.	h.	PROPN
ejpam-5640	210	6	arnous	arnous	PROPN
ejpam-5640	210	7	,	,	PUNCT
ejpam-5640	210	8	a.	a.	PROPN
ejpam-5640	210	9	biswas	biswas	PROPN
ejpam-5640	210	10	,	,	PUNCT
ejpam-5640	210	11	a.	a.	PROPN
ejpam-5640	210	12	h.	h.	PROPN
ejpam-5640	210	13	kara	kara	PROPN
ejpam-5640	210	14	,	,	PUNCT
ejpam-5640	210	15	y.	y.	PROPN
ejpam-5640	210	16	yıldırım	yıldırım	PROPN
ejpam-5640	210	17	,	,	PUNCT
ejpam-5640	210	18	l.	l.	PROPN
ejpam-5640	210	19	moraru	moraru	PROPN
ejpam-5640	210	20	,	,	PUNCT
ejpam-5640	210	21	c.	c.	PROPN
ejpam-5640	210	22	iticescu	iticescu	PROPN
ejpam-5640	210	23	,	,	PUNCT
ejpam-5640	210	24	and	and	CCONJ
ejpam-5640	210	25	a.	a.	NOUN
ejpam-5640	210	26	a.	a.	NOUN
ejpam-5640	210	27	alghamdi	alghamdi	PROPN
ejpam-5640	210	28	.	.	PUNCT
ejpam-5640	211	1	optical	optical	ADJ
ejpam-5640	211	2	solitons	soliton	NOUN
ejpam-5640	211	3	and	and	CCONJ
ejpam-5640	211	4	conservation	conservation	NOUN
ejpam-5640	211	5	laws	law	NOUN
ejpam-5640	211	6	for	for	ADP
ejpam-5640	211	7	the	the	DET
ejpam-5640	211	8	concatenation	concatenation	NOUN
ejpam-5640	211	9	model	model	NOUN
ejpam-5640	211	10	with	with	ADP
ejpam-5640	211	11	spatio	spatio	PROPN
ejpam-5640	211	12	-	-	PUNCT
ejpam-5640	211	13	temporal	temporal	ADJ
ejpam-5640	211	14	dispersion	dispersion	NOUN
ejpam-5640	211	15	(	(	PUNCT
ejpam-5640	211	16	internet	internet	NOUN
ejpam-5640	211	17	traffic	traffic	NOUN
ejpam-5640	211	18	regulation	regulation	NOUN
ejpam-5640	211	19	)	)	PUNCT
ejpam-5640	211	20	.	.	PUNCT
ejpam-5640	212	1	journal	journal	NOUN
ejpam-5640	212	2	of	of	ADP
ejpam-5640	212	3	the	the	DET
ejpam-5640	212	4	european	european	ADJ
ejpam-5640	212	5	optical	optical	ADJ
ejpam-5640	212	6	society	society	NOUN
ejpam-5640	212	7	-	-	PUNCT
ejpam-5640	212	8	rapid	rapid	ADJ
ejpam-5640	212	9	publications	publication	NOUN
ejpam-5640	212	10	,	,	PUNCT
ejpam-5640	212	11	19(2):35	19(2):35	PROPN
ejpam-5640	212	12	,	,	PUNCT
ejpam-5640	212	13	2023	2023	NUM
ejpam-5640	212	14	.	.	PUNCT
ejpam-5640	213	1	[	[	X
ejpam-5640	213	2	5	5	X
ejpam-5640	213	3	]	]	X
ejpam-5640	213	4	y.	y.	NOUN
ejpam-5640	213	5	barad	barad	PROPN
ejpam-5640	213	6	and	and	CCONJ
ejpam-5640	213	7	y.	y.	PROPN
ejpam-5640	213	8	silberberg	silberberg	PROPN
ejpam-5640	213	9	.	.	PUNCT
ejpam-5640	214	1	polarization	polarization	NOUN
ejpam-5640	214	2	evolution	evolution	NOUN
ejpam-5640	214	3	and	and	CCONJ
ejpam-5640	214	4	polarization	polarization	NOUN
ejpam-5640	214	5	instability	instability	NOUN
ejpam-5640	214	6	of	of	ADP
ejpam-5640	214	7	solitons	soliton	NOUN
ejpam-5640	214	8	in	in	ADP
ejpam-5640	214	9	a	a	DET
ejpam-5640	214	10	birefringent	birefringent	NOUN
ejpam-5640	214	11	optical	optical	ADJ
ejpam-5640	214	12	fiber	fiber	NOUN
ejpam-5640	214	13	.	.	PUNCT
ejpam-5640	215	1	physical	physical	ADJ
ejpam-5640	215	2	review	review	NOUN
ejpam-5640	215	3	letters	letter	NOUN
ejpam-5640	215	4	,	,	PUNCT
ejpam-5640	215	5	78(17):3290–3293	78(17):3290–3293	NUM
ejpam-5640	215	6	,	,	PUNCT
ejpam-5640	215	7	1997	1997	NUM
ejpam-5640	215	8	.	.	PUNCT
ejpam-5640	216	1	[	[	X
ejpam-5640	216	2	6	6	NUM
ejpam-5640	216	3	]	]	PUNCT
ejpam-5640	216	4	a.	a.	NOUN
ejpam-5640	216	5	h.	h.	PROPN
ejpam-5640	216	6	bhrawy	bhrawy	PROPN
ejpam-5640	216	7	,	,	PUNCT
ejpam-5640	216	8	a.	a.	NOUN
ejpam-5640	216	9	a.	a.	NOUN
ejpam-5640	216	10	alshaery	alshaery	PROPN
ejpam-5640	216	11	,	,	PUNCT
ejpam-5640	216	12	and	and	CCONJ
ejpam-5640	216	13	e.	e.	PROPN
ejpam-5640	216	14	m.	m.	PROPN
ejpam-5640	216	15	hilal	hilal	PROPN
ejpam-5640	216	16	et	et	PROPN
ejpam-5640	216	17	al	al	PROPN
ejpam-5640	216	18	.	.	PROPN
ejpam-5640	217	1	optical	optical	ADJ
ejpam-5640	217	2	solitons	soliton	NOUN
ejpam-5640	217	3	in	in	ADP
ejpam-5640	217	4	birefringent	birefringent	NOUN
ejpam-5640	217	5	fibers	fiber	NOUN
ejpam-5640	217	6	with	with	ADP
ejpam-5640	217	7	spatio	spatio	PROPN
ejpam-5640	217	8	-	-	PUNCT
ejpam-5640	217	9	temporal	temporal	ADJ
ejpam-5640	217	10	dispersion	dispersion	NOUN
ejpam-5640	217	11	.	.	PUNCT
ejpam-5640	218	1	optik	optik	PROPN
ejpam-5640	218	2	,	,	PUNCT
ejpam-5640	218	3	125(17):4935–4944	125(17):4935–4944	NUM
ejpam-5640	218	4	,	,	PUNCT
ejpam-5640	218	5	2014	2014	NUM
ejpam-5640	218	6	.	.	PUNCT
ejpam-5640	219	1	[	[	X
ejpam-5640	219	2	7	7	NUM
ejpam-5640	219	3	]	]	PUNCT
ejpam-5640	219	4	a.	a.	NOUN
ejpam-5640	219	5	biswas	biswas	PROPN
ejpam-5640	219	6	,	,	PUNCT
ejpam-5640	219	7	a.	a.	PROPN
ejpam-5640	219	8	h.	h.	PROPN
ejpam-5640	219	9	kara	kara	PROPN
ejpam-5640	219	10	,	,	PUNCT
ejpam-5640	219	11	m.	m.	NOUN
ejpam-5640	219	12	z.	z.	PROPN
ejpam-5640	219	13	ullah	ullah	PROPN
ejpam-5640	219	14	,	,	PUNCT
ejpam-5640	219	15	q.	q.	PROPN
ejpam-5640	219	16	zhou	zhou	PROPN
ejpam-5640	219	17	,	,	PUNCT
ejpam-5640	219	18	h.	h.	PROPN
ejpam-5640	219	19	triki	triki	PROPN
ejpam-5640	219	20	,	,	PUNCT
ejpam-5640	219	21	and	and	CCONJ
ejpam-5640	219	22	m.	m.	NOUN
ejpam-5640	219	23	belic	belic	PROPN
ejpam-5640	219	24	.	.	PUNCT
ejpam-5640	220	1	conservation	conservation	NOUN
ejpam-5640	220	2	laws	law	NOUN
ejpam-5640	220	3	for	for	ADP
ejpam-5640	220	4	cubic	cubic	ADJ
ejpam-5640	220	5	-	-	PUNCT
ejpam-5640	220	6	quartic	quartic	ADJ
ejpam-5640	220	7	optical	optical	ADJ
ejpam-5640	220	8	solitons	soliton	NOUN
ejpam-5640	220	9	in	in	ADP
ejpam-5640	220	10	kerr	kerr	PROPN
ejpam-5640	220	11	and	and	CCONJ
ejpam-5640	220	12	power	power	NOUN
ejpam-5640	220	13	law	law	NOUN
ejpam-5640	220	14	media	medium	NOUN
ejpam-5640	220	15	.	.	PUNCT
ejpam-5640	221	1	optik	optik	PROPN
ejpam-5640	221	2	,	,	PUNCT
ejpam-5640	221	3	145:650	145:650	PROPN
ejpam-5640	221	4	–	–	PUNCT
ejpam-5640	221	5	654	654	NUM
ejpam-5640	221	6	,	,	PUNCT
ejpam-5640	221	7	2017	2017	NUM
ejpam-5640	221	8	.	.	PUNCT
ejpam-5640	222	1	[	[	X
ejpam-5640	222	2	8	8	NUM
ejpam-5640	222	3	]	]	PUNCT
ejpam-5640	222	4	a.	a.	NOUN
ejpam-5640	222	5	biswas	biswas	PROPN
ejpam-5640	222	6	,	,	PUNCT
ejpam-5640	222	7	k.	k.	PROPN
ejpam-5640	222	8	r.	r.	PROPN
ejpam-5640	222	9	khan	khan	PROPN
ejpam-5640	222	10	,	,	PUNCT
ejpam-5640	222	11	a.	a.	PROPN
ejpam-5640	222	12	rahman	rahman	PROPN
ejpam-5640	222	13	,	,	PUNCT
ejpam-5640	222	14	a.	a.	PROPN
ejpam-5640	222	15	yildirim	yildirim	PROPN
ejpam-5640	222	16	,	,	PUNCT
ejpam-5640	222	17	t.	t.	PROPN
ejpam-5640	222	18	hayat	hayat	PROPN
ejpam-5640	222	19	,	,	PUNCT
ejpam-5640	222	20	and	and	CCONJ
ejpam-5640	222	21	o.	o.	PROPN
ejpam-5640	222	22	m.	m.	PROPN
ejpam-5640	222	23	aldossary	aldossary	PROPN
ejpam-5640	222	24	.	.	PUNCT
ejpam-5640	223	1	a.	a.	PROPN
ejpam-5640	223	2	m.	m.	NOUN
ejpam-5640	223	3	almalki	almalki	ADP
ejpam-5640	223	4	et	et	PROPN
ejpam-5640	223	5	al	al	PROPN
ejpam-5640	223	6	.	.	PUNCT
ejpam-5640	223	7	/	/	SYM
ejpam-5640	223	8	eur	eur	PROPN
ejpam-5640	223	9	.	.	PUNCT
ejpam-5640	224	1	j.	j.	PROPN
ejpam-5640	224	2	pure	pure	PROPN
ejpam-5640	224	3	appl	appl	PROPN
ejpam-5640	224	4	.	.	PROPN
ejpam-5640	224	5	math	math	PROPN
ejpam-5640	224	6	,	,	PUNCT
ejpam-5640	224	7	18	18	NUM
ejpam-5640	224	8	(	(	PUNCT
ejpam-5640	224	9	1	1	NUM
ejpam-5640	224	10	)	)	PUNCT
ejpam-5640	224	11	(	(	PUNCT
ejpam-5640	224	12	2025	2025	NUM
ejpam-5640	224	13	)	)	PUNCT
ejpam-5640	224	14	,	,	PUNCT
ejpam-5640	224	15	5640	5640	NUM
ejpam-5640	224	16	15	15	NUM
ejpam-5640	224	17	of	of	ADP
ejpam-5640	224	18	16	16	NUM
ejpam-5640	224	19	bright	bright	ADJ
ejpam-5640	224	20	and	and	CCONJ
ejpam-5640	224	21	dark	dark	ADJ
ejpam-5640	224	22	optical	optical	ADJ
ejpam-5640	224	23	solitons	soliton	NOUN
ejpam-5640	224	24	in	in	ADP
ejpam-5640	224	25	birefringent	birefringent	NOUN
ejpam-5640	224	26	fibers	fiber	NOUN
ejpam-5640	224	27	with	with	ADP
ejpam-5640	224	28	hamiltonian	hamiltonian	ADJ
ejpam-5640	224	29	perturbations	perturbation	NOUN
ejpam-5640	224	30	and	and	CCONJ
ejpam-5640	224	31	kerr	kerr	PROPN
ejpam-5640	224	32	law	law	PROPN
ejpam-5640	224	33	nonlinearity	nonlinearity	NOUN
ejpam-5640	224	34	.	.	PUNCT
ejpam-5640	225	1	journal	journal	NOUN
ejpam-5640	225	2	of	of	ADP
ejpam-5640	225	3	optoelectronics	optoelectronic	NOUN
ejpam-5640	225	4	and	and	CCONJ
ejpam-5640	225	5	advanced	advanced	ADJ
ejpam-5640	225	6	materials	material	NOUN
ejpam-5640	225	7	,	,	PUNCT
ejpam-5640	225	8	14:571	14:571	NUM
ejpam-5640	225	9	–	–	PUNCT
ejpam-5640	225	10	576	576	NUM
ejpam-5640	225	11	,	,	PUNCT
ejpam-5640	225	12	2012	2012	NUM
ejpam-5640	225	13	.	.	PUNCT
ejpam-5640	226	1	[	[	X
ejpam-5640	226	2	9	9	NUM
ejpam-5640	226	3	]	]	PUNCT
ejpam-5640	226	4	a.	a.	NOUN
ejpam-5640	226	5	biswas	biswas	PROPN
ejpam-5640	226	6	and	and	CCONJ
ejpam-5640	226	7	s.	s.	PROPN
ejpam-5640	226	8	konar	konar	PROPN
ejpam-5640	226	9	.	.	PUNCT
ejpam-5640	227	1	introduction	introduction	NOUN
ejpam-5640	227	2	to	to	ADP
ejpam-5640	227	3	non	non	ADJ
ejpam-5640	227	4	-	-	ADJ
ejpam-5640	227	5	kerr	kerr	ADJ
ejpam-5640	227	6	law	law	NOUN
ejpam-5640	227	7	optical	optical	ADJ
ejpam-5640	227	8	solitons	soliton	NOUN
ejpam-5640	227	9	.	.	PUNCT
ejpam-5640	228	1	chapman	chapman	NOUN
ejpam-5640	228	2	and	and	CCONJ
ejpam-5640	228	3	hall	hall	PROPN
ejpam-5640	228	4	/	/	SYM
ejpam-5640	228	5	crc	crc	PROPN
ejpam-5640	228	6	press	press	NOUN
ejpam-5640	228	7	,	,	PUNCT
ejpam-5640	228	8	new	new	PROPN
ejpam-5640	228	9	york	york	PROPN
ejpam-5640	228	10	,	,	PUNCT
ejpam-5640	228	11	2006	2006	NUM
ejpam-5640	228	12	.	.	PUNCT
ejpam-5640	229	1	[	[	X
ejpam-5640	229	2	10	10	NUM
ejpam-5640	229	3	]	]	PUNCT
ejpam-5640	229	4	a.	a.	PROPN
ejpam-5640	229	5	biswas	biswas	PROPN
ejpam-5640	229	6	,	,	PUNCT
ejpam-5640	229	7	h.	h.	PROPN
ejpam-5640	229	8	triki	triki	PROPN
ejpam-5640	229	9	,	,	PUNCT
ejpam-5640	229	10	q.	q.	PROPN
ejpam-5640	229	11	zhou	zhou	PROPN
ejpam-5640	229	12	,	,	PUNCT
ejpam-5640	229	13	s.	s.	PROPN
ejpam-5640	229	14	p.	p.	PROPN
ejpam-5640	229	15	moshokoa	moshokoa	PROPN
ejpam-5640	229	16	,	,	PUNCT
ejpam-5640	229	17	m.	m.	PROPN
ejpam-5640	229	18	z.	z.	PROPN
ejpam-5640	229	19	ullah	ullah	PROPN
ejpam-5640	229	20	,	,	PUNCT
ejpam-5640	229	21	and	and	CCONJ
ejpam-5640	229	22	m.	m.	NOUN
ejpam-5640	229	23	belic	belic	PROPN
ejpam-5640	229	24	.	.	PUNCT
ejpam-5640	230	1	cubicquartic	cubicquartic	ADJ
ejpam-5640	230	2	optical	optical	ADJ
ejpam-5640	230	3	solitons	soliton	NOUN
ejpam-5640	230	4	in	in	ADP
ejpam-5640	230	5	kerr	kerr	PROPN
ejpam-5640	230	6	and	and	CCONJ
ejpam-5640	230	7	power	power	NOUN
ejpam-5640	230	8	law	law	NOUN
ejpam-5640	230	9	media	medium	NOUN
ejpam-5640	230	10	.	.	PUNCT
ejpam-5640	231	1	optik	optik	PROPN
ejpam-5640	231	2	,	,	PUNCT
ejpam-5640	231	3	144:357–362	144:357–362	NUM
ejpam-5640	231	4	,	,	PUNCT
ejpam-5640	231	5	2017	2017	NUM
ejpam-5640	231	6	.	.	PUNCT
ejpam-5640	232	1	[	[	X
ejpam-5640	232	2	11	11	NUM
ejpam-5640	232	3	]	]	PUNCT
ejpam-5640	232	4	a.	a.	PROPN
ejpam-5640	232	5	biswas	biswas	PROPN
ejpam-5640	232	6	,	,	PUNCT
ejpam-5640	232	7	q.	q.	PROPN
ejpam-5640	232	8	zhou	zhou	PROPN
ejpam-5640	232	9	,	,	PUNCT
ejpam-5640	232	10	m.	m.	PROPN
ejpam-5640	232	11	z.	z.	PROPN
ejpam-5640	232	12	ullah	ullah	PROPN
ejpam-5640	232	13	,	,	PUNCT
ejpam-5640	232	14	h.	h.	PROPN
ejpam-5640	232	15	triki	triki	PROPN
ejpam-5640	232	16	,	,	PUNCT
ejpam-5640	232	17	s.	s.	PROPN
ejpam-5640	232	18	p.	p.	PROPN
ejpam-5640	232	19	moshokoa	moshokoa	PROPN
ejpam-5640	232	20	,	,	PUNCT
ejpam-5640	232	21	and	and	CCONJ
ejpam-5640	232	22	m.	m.	NOUN
ejpam-5640	232	23	belic	belic	PROPN
ejpam-5640	232	24	.	.	PUNCT
ejpam-5640	233	1	optical	optical	ADJ
ejpam-5640	233	2	soliton	soliton	NOUN
ejpam-5640	233	3	perturbation	perturbation	NOUN
ejpam-5640	233	4	with	with	ADP
ejpam-5640	233	5	anti	anti	ADJ
ejpam-5640	233	6	-	-	ADJ
ejpam-5640	233	7	cubic	cubic	ADJ
ejpam-5640	233	8	nonlinearity	nonlinearity	NOUN
ejpam-5640	233	9	by	by	ADP
ejpam-5640	233	10	semi	semi	ADJ
ejpam-5640	233	11	-	-	ADJ
ejpam-5640	233	12	inverse	inverse	ADJ
ejpam-5640	233	13	variational	variational	ADJ
ejpam-5640	233	14	principle	principle	NOUN
ejpam-5640	233	15	.	.	PUNCT
ejpam-5640	234	1	optik	optik	PROPN
ejpam-5640	234	2	,	,	PUNCT
ejpam-5640	234	3	143:131–134	143:131–134	NUM
ejpam-5640	234	4	,	,	PUNCT
ejpam-5640	234	5	2017	2017	NUM
ejpam-5640	234	6	.	.	PUNCT
ejpam-5640	235	1	[	[	X
ejpam-5640	235	2	12	12	NUM
ejpam-5640	235	3	]	]	PUNCT
ejpam-5640	235	4	a.	a.	NOUN
ejpam-5640	235	5	m.	m.	NOUN
ejpam-5640	235	6	bodaqah	bodaqah	PROPN
ejpam-5640	235	7	,	,	PUNCT
ejpam-5640	235	8	a.	a.	NOUN
ejpam-5640	235	9	a.	a.	PROPN
ejpam-5640	235	10	al	al	PROPN
ejpam-5640	235	11	qarni	qarni	PROPN
ejpam-5640	235	12	,	,	PUNCT
ejpam-5640	235	13	h.	h.	PROPN
ejpam-5640	235	14	o.	o.	PROPN
ejpam-5640	235	15	bakodah	bakodah	PROPN
ejpam-5640	235	16	,	,	PUNCT
ejpam-5640	235	17	and	and	CCONJ
ejpam-5640	235	18	a.	a.	NOUN
ejpam-5640	235	19	a.	a.	PROPN
ejpam-5640	235	20	alshaery	alshaery	PROPN
ejpam-5640	235	21	.	.	PUNCT
ejpam-5640	236	1	acquisition	acquisition	NOUN
ejpam-5640	236	2	of	of	ADP
ejpam-5640	236	3	optimal	optimal	ADJ
ejpam-5640	236	4	computational	computational	ADJ
ejpam-5640	236	5	solitons	soliton	NOUN
ejpam-5640	236	6	for	for	ADP
ejpam-5640	236	7	cubic	cubic	ADJ
ejpam-5640	236	8	–	–	PUNCT
ejpam-5640	236	9	quartic	quartic	ADJ
ejpam-5640	236	10	nonlinear	nonlinear	NOUN
ejpam-5640	236	11	schrödinger	schrödinger	NOUN
ejpam-5640	236	12	equation	equation	NOUN
ejpam-5640	236	13	through	through	ADP
ejpam-5640	236	14	improved	improve	VERB
ejpam-5640	236	15	adomian	adomian	NOUN
ejpam-5640	236	16	decomposition	decomposition	NOUN
ejpam-5640	236	17	method	method	NOUN
ejpam-5640	236	18	.	.	PUNCT
ejpam-5640	237	1	optical	optical	ADJ
ejpam-5640	237	2	and	and	CCONJ
ejpam-5640	237	3	quantum	quantum	NOUN
ejpam-5640	237	4	electronics	electronic	NOUN
ejpam-5640	237	5	,	,	PUNCT
ejpam-5640	237	6	56(7):1250	56(7):1250	NUM
ejpam-5640	237	7	,	,	PUNCT
ejpam-5640	237	8	2024	2024	NUM
ejpam-5640	237	9	.	.	PUNCT
ejpam-5640	238	1	[	[	X
ejpam-5640	238	2	13	13	NUM
ejpam-5640	238	3	]	]	PUNCT
ejpam-5640	238	4	r.	r.	PROPN
ejpam-5640	238	5	a.	a.	PROPN
ejpam-5640	238	6	el	el	PROPN
ejpam-5640	238	7	-	-	PUNCT
ejpam-5640	238	8	nabulsi	nabulsi	PROPN
ejpam-5640	238	9	and	and	CCONJ
ejpam-5640	238	10	w.	w.	PROPN
ejpam-5640	238	11	anukool	anukool	PROPN
ejpam-5640	238	12	.	.	PUNCT
ejpam-5640	239	1	a	a	DET
ejpam-5640	239	2	generalized	generalized	ADJ
ejpam-5640	239	3	nonlinear	nonlinear	ADJ
ejpam-5640	239	4	cubic	cubic	ADJ
ejpam-5640	239	5	-	-	PUNCT
ejpam-5640	239	6	quartic	quartic	ADJ
ejpam-5640	239	7	schrodinger	schrodinger	NOUN
ejpam-5640	239	8	equation	equation	NOUN
ejpam-5640	239	9	and	and	CCONJ
ejpam-5640	239	10	its	its	PRON
ejpam-5640	239	11	implications	implication	NOUN
ejpam-5640	239	12	in	in	ADP
ejpam-5640	239	13	quantum	quantum	ADJ
ejpam-5640	239	14	wire	wire	NOUN
ejpam-5640	239	15	.	.	PUNCT
ejpam-5640	240	1	the	the	DET
ejpam-5640	240	2	european	european	PROPN
ejpam-5640	240	3	physical	physical	PROPN
ejpam-5640	240	4	journal	journal	PROPN
ejpam-5640	240	5	b	b	PROPN
ejpam-5640	240	6	,	,	PUNCT
ejpam-5640	240	7	96(5):52	96(5):52	PROPN
ejpam-5640	240	8	,	,	PUNCT
ejpam-5640	240	9	2023	2023	NUM
ejpam-5640	240	10	.	.	PUNCT
ejpam-5640	241	1	[	[	X
ejpam-5640	241	2	14	14	NUM
ejpam-5640	241	3	]	]	PUNCT
ejpam-5640	241	4	m.	m.	NOUN
ejpam-5640	241	5	eslami	eslami	NOUN
ejpam-5640	241	6	.	.	PUNCT
ejpam-5640	242	1	solitary	solitary	ADJ
ejpam-5640	242	2	wave	wave	NOUN
ejpam-5640	242	3	solutions	solution	NOUN
ejpam-5640	242	4	for	for	ADP
ejpam-5640	242	5	perturbed	perturb	VERB
ejpam-5640	242	6	nonlinear	nonlinear	PROPN
ejpam-5640	242	7	schrodinger	schrodinger	PROPN
ejpam-5640	242	8	’s	’s	PART
ejpam-5640	242	9	equation	equation	NOUN
ejpam-5640	242	10	with	with	ADP
ejpam-5640	242	11	kerr	kerr	PROPN
ejpam-5640	242	12	law	law	PROPN
ejpam-5640	242	13	nonlinearity	nonlinearity	NOUN
ejpam-5640	242	14	under	under	ADP
ejpam-5640	242	15	the	the	DET
ejpam-5640	242	16	dam	dam	NOUN
ejpam-5640	242	17	.	.	PUNCT
ejpam-5640	243	1	optik	optik	PROPN
ejpam-5640	243	2	,	,	PUNCT
ejpam-5640	243	3	126(13):1312–1317	126(13):1312–1317	NUM
ejpam-5640	243	4	,	,	PUNCT
ejpam-5640	243	5	2015	2015	NUM
ejpam-5640	243	6	.	.	PUNCT
ejpam-5640	244	1	[	[	X
ejpam-5640	244	2	15	15	NUM
ejpam-5640	244	3	]	]	X
ejpam-5640	244	4	o.	o.	PROPN
ejpam-5640	244	5	gonzález	gonzález	PROPN
ejpam-5640	244	6	-	-	PUNCT
ejpam-5640	244	7	gaxiola	gaxiola	PROPN
ejpam-5640	244	8	.	.	PUNCT
ejpam-5640	245	1	numerical	numerical	ADJ
ejpam-5640	245	2	solution	solution	NOUN
ejpam-5640	245	3	for	for	ADP
ejpam-5640	245	4	triki	triki	ADJ
ejpam-5640	245	5	-	-	PUNCT
ejpam-5640	245	6	biswas	biswas	NOUN
ejpam-5640	245	7	equation	equation	NOUN
ejpam-5640	245	8	by	by	ADP
ejpam-5640	245	9	adomian	adomian	NOUN
ejpam-5640	245	10	decomposition	decomposition	NOUN
ejpam-5640	245	11	method	method	NOUN
ejpam-5640	245	12	.	.	PUNCT
ejpam-5640	246	1	optik	optik	PROPN
ejpam-5640	246	2	,	,	PUNCT
ejpam-5640	246	3	194:163014	194:163014	NUM
ejpam-5640	246	4	,	,	PUNCT
ejpam-5640	246	5	2019	2019	NUM
ejpam-5640	246	6	.	.	PUNCT
ejpam-5640	247	1	[	[	X
ejpam-5640	247	2	16	16	NUM
ejpam-5640	247	3	]	]	X
ejpam-5640	247	4	g.	g.	PROPN
ejpam-5640	247	5	h.	h.	PROPN
ejpam-5640	247	6	ibraheem	ibraheem	PROPN
ejpam-5640	247	7	,	,	PUNCT
ejpam-5640	247	8	m.	m.	NOUN
ejpam-5640	247	9	turkyilmazoglu	turkyilmazoglu	NOUN
ejpam-5640	247	10	,	,	PUNCT
ejpam-5640	247	11	and	and	CCONJ
ejpam-5640	247	12	m.	m.	NOUN
ejpam-5640	247	13	a.	a.	PROPN
ejpam-5640	247	14	al	al	PROPN
ejpam-5640	247	15	-	-	PUNCT
ejpam-5640	247	16	jawary	jawary	PROPN
ejpam-5640	247	17	.	.	PUNCT
ejpam-5640	248	1	novel	novel	ADJ
ejpam-5640	248	2	approximate	approximate	ADJ
ejpam-5640	248	3	solution	solution	NOUN
ejpam-5640	248	4	for	for	ADP
ejpam-5640	248	5	fractional	fractional	ADJ
ejpam-5640	248	6	differential	differential	ADJ
ejpam-5640	248	7	equations	equation	NOUN
ejpam-5640	248	8	by	by	ADP
ejpam-5640	248	9	the	the	DET
ejpam-5640	248	10	optimal	optimal	ADJ
ejpam-5640	248	11	variational	variational	ADJ
ejpam-5640	248	12	iteration	iteration	NOUN
ejpam-5640	248	13	method	method	NOUN
ejpam-5640	248	14	.	.	PUNCT
ejpam-5640	249	1	journal	journal	NOUN
ejpam-5640	249	2	of	of	ADP
ejpam-5640	249	3	computational	computational	ADJ
ejpam-5640	249	4	science	science	NOUN
ejpam-5640	249	5	,	,	PUNCT
ejpam-5640	249	6	64:101841	64:101841	NUM
ejpam-5640	249	7	,	,	PUNCT
ejpam-5640	249	8	2022	2022	NUM
ejpam-5640	249	9	.	.	PUNCT
ejpam-5640	250	1	[	[	X
ejpam-5640	250	2	17	17	NUM
ejpam-5640	250	3	]	]	PUNCT
ejpam-5640	250	4	m.	m.	NOUN
ejpam-5640	250	5	n.	n.	PROPN
ejpam-5640	250	6	islam	islam	PROPN
ejpam-5640	250	7	,	,	PUNCT
ejpam-5640	250	8	c.	c.	PROPN
ejpam-5640	250	9	d.	d.	PROPN
ejpam-5640	250	10	poole	poole	PROPN
ejpam-5640	250	11	,	,	PUNCT
ejpam-5640	250	12	and	and	CCONJ
ejpam-5640	250	13	j.	j.	PROPN
ejpam-5640	250	14	p.	p.	PROPN
ejpam-5640	250	15	gordon	gordon	PROPN
ejpam-5640	250	16	.	.	PUNCT
ejpam-5640	251	1	soliton	soliton	NOUN
ejpam-5640	251	2	trapping	trap	VERB
ejpam-5640	251	3	in	in	ADP
ejpam-5640	251	4	birefringent	birefringent	NOUN
ejpam-5640	251	5	optical	optical	ADJ
ejpam-5640	251	6	fibers	fiber	NOUN
ejpam-5640	251	7	.	.	PUNCT
ejpam-5640	252	1	optics	optic	NOUN
ejpam-5640	252	2	letters	letter	NOUN
ejpam-5640	252	3	,	,	PUNCT
ejpam-5640	252	4	14(18):1011–1013	14(18):1011–1013	NUM
ejpam-5640	252	5	,	,	PUNCT
ejpam-5640	252	6	1989	1989	NUM
ejpam-5640	252	7	.	.	PUNCT
ejpam-5640	253	1	[	[	X
ejpam-5640	253	2	18	18	NUM
ejpam-5640	253	3	]	]	X
ejpam-5640	253	4	y.	y.	PROPN
ejpam-5640	253	5	jiang	jiang	PROPN
ejpam-5640	253	6	,	,	PUNCT
ejpam-5640	253	7	b.	b.	PROPN
ejpam-5640	253	8	tian	tian	PROPN
ejpam-5640	253	9	,	,	PUNCT
ejpam-5640	253	10	w.	w.	PROPN
ejpam-5640	253	11	j.	j.	PROPN
ejpam-5640	253	12	liu	liu	PROPN
ejpam-5640	253	13	,	,	PUNCT
ejpam-5640	253	14	k.	k.	PROPN
ejpam-5640	253	15	sun	sun	PROPN
ejpam-5640	253	16	,	,	PUNCT
ejpam-5640	253	17	and	and	CCONJ
ejpam-5640	253	18	p.	p.	PROPN
ejpam-5640	253	19	wang	wang	PROPN
ejpam-5640	253	20	.	.	PUNCT
ejpam-5640	254	1	mixed	mix	VERB
ejpam-5640	254	2	-	-	PUNCT
ejpam-5640	254	3	type	type	NOUN
ejpam-5640	254	4	solitons	soliton	NOUN
ejpam-5640	254	5	for	for	ADP
ejpam-5640	254	6	the	the	DET
ejpam-5640	254	7	coupled	couple	VERB
ejpam-5640	254	8	higher	high	ADJ
ejpam-5640	254	9	-	-	PUNCT
ejpam-5640	254	10	order	order	NOUN
ejpam-5640	254	11	nonlinear	nonlinear	NOUN
ejpam-5640	254	12	schrödinger	schrödinger	NOUN
ejpam-5640	254	13	equations	equation	NOUN
ejpam-5640	254	14	in	in	ADP
ejpam-5640	254	15	multi	multi	ADJ
ejpam-5640	254	16	-	-	ADJ
ejpam-5640	254	17	mode	mode	ADJ
ejpam-5640	254	18	and	and	CCONJ
ejpam-5640	254	19	birefringent	birefringent	NOUN
ejpam-5640	254	20	fibers	fiber	NOUN
ejpam-5640	254	21	.	.	PUNCT
ejpam-5640	255	1	journal	journal	NOUN
ejpam-5640	255	2	of	of	ADP
ejpam-5640	255	3	modern	modern	ADJ
ejpam-5640	255	4	optics	optic	NOUN
ejpam-5640	255	5	,	,	PUNCT
ejpam-5640	255	6	60(8):629–636	60(8):629–636	PROPN
ejpam-5640	255	7	,	,	PUNCT
ejpam-5640	255	8	2013	2013	NUM
ejpam-5640	255	9	.	.	PUNCT
ejpam-5640	256	1	[	[	X
ejpam-5640	256	2	19	19	NUM
ejpam-5640	256	3	]	]	X
ejpam-5640	256	4	j.	j.	PROPN
ejpam-5640	256	5	g.	g.	PROPN
ejpam-5640	256	6	liu	liu	PROPN
ejpam-5640	256	7	,	,	PUNCT
ejpam-5640	256	8	m.	m.	PROPN
ejpam-5640	256	9	s.	s.	PROPN
ejpam-5640	256	10	osman	osman	PROPN
ejpam-5640	256	11	,	,	PUNCT
ejpam-5640	256	12	and	and	CCONJ
ejpam-5640	256	13	a.	a.	NOUN
ejpam-5640	256	14	m.	m.	NOUN
ejpam-5640	256	15	wazwaz	wazwaz	PROPN
ejpam-5640	256	16	.	.	PUNCT
ejpam-5640	257	1	a	a	DET
ejpam-5640	257	2	variety	variety	NOUN
ejpam-5640	257	3	of	of	ADP
ejpam-5640	257	4	nonautonomous	nonautonomous	ADJ
ejpam-5640	257	5	complex	complex	ADJ
ejpam-5640	257	6	wave	wave	NOUN
ejpam-5640	257	7	solutions	solution	NOUN
ejpam-5640	257	8	for	for	ADP
ejpam-5640	257	9	the	the	DET
ejpam-5640	257	10	(	(	PUNCT
ejpam-5640	257	11	2	2	NUM
ejpam-5640	257	12	+	+	NOUN
ejpam-5640	257	13	1)-dimensional	1)-dimensional	ADJ
ejpam-5640	257	14	nonlinear	nonlinear	ADJ
ejpam-5640	257	15	schrodinger	schrodinger	ADJ
ejpam-5640	257	16	equation	equation	NOUN
ejpam-5640	257	17	with	with	ADP
ejpam-5640	257	18	variable	variable	ADJ
ejpam-5640	257	19	coefficients	coefficient	NOUN
ejpam-5640	257	20	in	in	ADP
ejpam-5640	257	21	nonlinear	nonlinear	ADJ
ejpam-5640	257	22	optical	optical	ADJ
ejpam-5640	257	23	fibers	fiber	NOUN
ejpam-5640	257	24	.	.	PUNCT
ejpam-5640	258	1	optik	optik	PROPN
ejpam-5640	258	2	,	,	PUNCT
ejpam-5640	258	3	180:917–923	180:917–923	NUM
ejpam-5640	258	4	,	,	PUNCT
ejpam-5640	258	5	2019	2019	NUM
ejpam-5640	258	6	.	.	PUNCT
ejpam-5640	259	1	[	[	X
ejpam-5640	259	2	20	20	NUM
ejpam-5640	259	3	]	]	PUNCT
ejpam-5640	259	4	c.	c.	PROPN
ejpam-5640	259	5	r.	r.	PROPN
ejpam-5640	259	6	menyuk	menyuk	PROPN
ejpam-5640	259	7	.	.	PUNCT
ejpam-5640	260	1	stability	stability	NOUN
ejpam-5640	260	2	of	of	ADP
ejpam-5640	260	3	solitons	soliton	NOUN
ejpam-5640	260	4	in	in	ADP
ejpam-5640	260	5	birefringent	birefringent	NOUN
ejpam-5640	260	6	optical	optical	ADJ
ejpam-5640	260	7	fibers	fiber	NOUN
ejpam-5640	260	8	.	.	PUNCT
ejpam-5640	261	1	i	i	PRON
ejpam-5640	261	2	:	:	PUNCT
ejpam-5640	261	3	equal	equal	ADJ
ejpam-5640	261	4	propagation	propagation	NOUN
ejpam-5640	261	5	amplitudes	amplitude	NOUN
ejpam-5640	261	6	.	.	PUNCT
ejpam-5640	262	1	optics	optic	NOUN
ejpam-5640	262	2	letters	letter	NOUN
ejpam-5640	262	3	,	,	PUNCT
ejpam-5640	262	4	12(8):614–616	12(8):614–616	NUM
ejpam-5640	262	5	,	,	PUNCT
ejpam-5640	262	6	1987	1987	NUM
ejpam-5640	262	7	.	.	PUNCT
ejpam-5640	263	1	[	[	X
ejpam-5640	263	2	21	21	NUM
ejpam-5640	263	3	]	]	PUNCT
ejpam-5640	263	4	s.	s.	PROPN
ejpam-5640	263	5	ozgul	ozgul	PROPN
ejpam-5640	263	6	,	,	PUNCT
ejpam-5640	263	7	m.	m.	NOUN
ejpam-5640	263	8	turan	turan	PROPN
ejpam-5640	263	9	,	,	PUNCT
ejpam-5640	263	10	and	and	CCONJ
ejpam-5640	263	11	a.	a.	PROPN
ejpam-5640	263	12	yildirim	yildirim	PROPN
ejpam-5640	263	13	.	.	PUNCT
ejpam-5640	264	1	exact	exact	ADJ
ejpam-5640	264	2	traveling	travel	VERB
ejpam-5640	264	3	wave	wave	NOUN
ejpam-5640	264	4	solutions	solution	NOUN
ejpam-5640	264	5	of	of	ADP
ejpam-5640	264	6	perturbed	perturb	VERB
ejpam-5640	264	7	nonlinear	nonlinear	PROPN
ejpam-5640	264	8	schrodinger	schrodinger	PROPN
ejpam-5640	264	9	’s	’s	PART
ejpam-5640	264	10	equation	equation	NOUN
ejpam-5640	264	11	(	(	PUNCT
ejpam-5640	264	12	nlse	nlse	PROPN
ejpam-5640	264	13	)	)	PUNCT
ejpam-5640	264	14	with	with	ADP
ejpam-5640	264	15	kerr	kerr	PROPN
ejpam-5640	264	16	law	law	PROPN
ejpam-5640	264	17	nonlinearity	nonlinearity	NOUN
ejpam-5640	264	18	.	.	PUNCT
ejpam-5640	265	1	optik	optik	PROPN
ejpam-5640	265	2	,	,	PUNCT
ejpam-5640	265	3	123(24):2250	123(24):2250	PROPN
ejpam-5640	265	4	–	–	PUNCT
ejpam-5640	265	5	2253	2253	NUM
ejpam-5640	265	6	,	,	PUNCT
ejpam-5640	265	7	2012	2012	NUM
ejpam-5640	265	8	.	.	PUNCT
ejpam-5640	266	1	[	[	X
ejpam-5640	266	2	22	22	NUM
ejpam-5640	266	3	]	]	PUNCT
ejpam-5640	266	4	m.	m.	NOUN
ejpam-5640	266	5	s.	s.	PROPN
ejpam-5640	266	6	mani	mani	PROPN
ejpam-5640	266	7	rajan	rajan	PROPN
ejpam-5640	266	8	,	,	PUNCT
ejpam-5640	266	9	j.	j.	PROPN
ejpam-5640	266	10	hakkim	hakkim	PROPN
ejpam-5640	266	11	,	,	PUNCT
ejpam-5640	266	12	a.	a.	NOUN
ejpam-5640	266	13	mahalingam	mahalingam	PROPN
ejpam-5640	266	14	,	,	PUNCT
ejpam-5640	266	15	and	and	CCONJ
ejpam-5640	266	16	a.	a.	NOUN
ejpam-5640	266	17	uthayakumar	uthayakumar	PROPN
ejpam-5640	266	18	.	.	PUNCT
ejpam-5640	266	19	dispersion	dispersion	NOUN
ejpam-5640	266	20	management	management	NOUN
ejpam-5640	266	21	and	and	CCONJ
ejpam-5640	266	22	cascade	cascade	NOUN
ejpam-5640	266	23	compression	compression	NOUN
ejpam-5640	266	24	of	of	ADP
ejpam-5640	266	25	femtosecond	femtosecond	NOUN
ejpam-5640	266	26	nonautonomous	nonautonomous	ADJ
ejpam-5640	266	27	soliton	soliton	NOUN
ejpam-5640	266	28	in	in	ADP
ejpam-5640	266	29	birefringent	birefringent	NOUN
ejpam-5640	266	30	fiber	fiber	NOUN
ejpam-5640	266	31	.	.	PUNCT
ejpam-5640	267	1	the	the	DET
ejpam-5640	267	2	european	european	PROPN
ejpam-5640	267	3	physical	physical	PROPN
ejpam-5640	267	4	journal	journal	PROPN
ejpam-5640	267	5	d	d	PROPN
ejpam-5640	267	6	,	,	PUNCT
ejpam-5640	267	7	67(7):150	67(7):150	PROPN
ejpam-5640	267	8	,	,	PUNCT
ejpam-5640	267	9	2013	2013	NUM
ejpam-5640	267	10	.	.	PUNCT
ejpam-5640	268	1	[	[	X
ejpam-5640	268	2	23	23	NUM
ejpam-5640	268	3	]	]	PUNCT
ejpam-5640	268	4	m.	m.	NOUN
ejpam-5640	268	5	turkyilmazoglu	turkyilmazoglu	NOUN
ejpam-5640	268	6	.	.	PUNCT
ejpam-5640	269	1	an	an	DET
ejpam-5640	269	2	analytic	analytic	ADJ
ejpam-5640	269	3	shooting	shooting	NOUN
ejpam-5640	269	4	-	-	PUNCT
ejpam-5640	269	5	like	like	ADJ
ejpam-5640	269	6	approach	approach	NOUN
ejpam-5640	269	7	for	for	ADP
ejpam-5640	269	8	the	the	DET
ejpam-5640	269	9	solution	solution	NOUN
ejpam-5640	269	10	of	of	ADP
ejpam-5640	269	11	nonlinear	nonlinear	ADJ
ejpam-5640	269	12	boundary	boundary	ADJ
ejpam-5640	269	13	value	value	NOUN
ejpam-5640	269	14	problems	problem	NOUN
ejpam-5640	269	15	.	.	PUNCT
ejpam-5640	270	1	mathematical	mathematical	ADJ
ejpam-5640	270	2	and	and	CCONJ
ejpam-5640	270	3	computer	computer	NOUN
ejpam-5640	270	4	modelling	modelling	NOUN
ejpam-5640	270	5	,	,	PUNCT
ejpam-5640	270	6	53(9–10):1748	53(9–10):1748	PROPN
ejpam-5640	270	7	–	–	PUNCT
ejpam-5640	270	8	1755	1755	NUM
ejpam-5640	270	9	,	,	PUNCT
ejpam-5640	270	10	2011	2011	NUM
ejpam-5640	270	11	.	.	PUNCT
ejpam-5640	271	1	a.	a.	NOUN
ejpam-5640	271	2	m.	m.	NOUN
ejpam-5640	271	3	almalki	almalki	ADP
ejpam-5640	271	4	et	et	PROPN
ejpam-5640	271	5	al	al	PROPN
ejpam-5640	271	6	.	.	PUNCT
ejpam-5640	271	7	/	/	SYM
ejpam-5640	271	8	eur	eur	PROPN
ejpam-5640	271	9	.	.	PUNCT
ejpam-5640	272	1	j.	j.	PROPN
ejpam-5640	272	2	pure	pure	PROPN
ejpam-5640	272	3	appl	appl	PROPN
ejpam-5640	272	4	.	.	PROPN
ejpam-5640	272	5	math	math	PROPN
ejpam-5640	272	6	,	,	PUNCT
ejpam-5640	272	7	18	18	NUM
ejpam-5640	272	8	(	(	PUNCT
ejpam-5640	272	9	1	1	NUM
ejpam-5640	272	10	)	)	PUNCT
ejpam-5640	272	11	(	(	PUNCT
ejpam-5640	272	12	2025	2025	NUM
ejpam-5640	272	13	)	)	PUNCT
ejpam-5640	272	14	,	,	PUNCT
ejpam-5640	272	15	5640	5640	NUM
ejpam-5640	272	16	16	16	NUM
ejpam-5640	272	17	of	of	ADP
ejpam-5640	272	18	16	16	NUM
ejpam-5640	272	19	[	[	X
ejpam-5640	272	20	24	24	NUM
ejpam-5640	272	21	]	]	PUNCT
ejpam-5640	272	22	m.	m.	NOUN
ejpam-5640	272	23	turkyilmazoglu	turkyilmazoglu	NOUN
ejpam-5640	272	24	.	.	PUNCT
ejpam-5640	273	1	solution	solution	NOUN
ejpam-5640	273	2	of	of	ADP
ejpam-5640	273	3	initial	initial	ADJ
ejpam-5640	273	4	and	and	CCONJ
ejpam-5640	273	5	boundary	boundary	ADJ
ejpam-5640	273	6	value	value	NOUN
ejpam-5640	273	7	problems	problem	NOUN
ejpam-5640	273	8	by	by	ADP
ejpam-5640	273	9	an	an	DET
ejpam-5640	273	10	effective	effective	ADJ
ejpam-5640	273	11	accurate	accurate	ADJ
ejpam-5640	273	12	method	method	NOUN
ejpam-5640	273	13	.	.	PUNCT
ejpam-5640	274	1	international	international	ADJ
ejpam-5640	274	2	journal	journal	NOUN
ejpam-5640	274	3	of	of	ADP
ejpam-5640	274	4	computational	computational	ADJ
ejpam-5640	274	5	methods	method	NOUN
ejpam-5640	274	6	,	,	PUNCT
ejpam-5640	274	7	14(6):1750069	14(6):1750069	NUM
ejpam-5640	274	8	,	,	PUNCT
ejpam-5640	274	9	2017	2017	NUM
ejpam-5640	274	10	.	.	PUNCT
ejpam-5640	275	1	[	[	X
ejpam-5640	275	2	25	25	NUM
ejpam-5640	275	3	]	]	PUNCT
ejpam-5640	275	4	m.	m.	NOUN
ejpam-5640	275	5	turkyilmazoglu	turkyilmazoglu	NOUN
ejpam-5640	275	6	.	.	PUNCT
ejpam-5640	276	1	accelerating	accelerate	VERB
ejpam-5640	276	2	the	the	DET
ejpam-5640	276	3	convergence	convergence	NOUN
ejpam-5640	276	4	of	of	ADP
ejpam-5640	276	5	adomian	adomian	ADJ
ejpam-5640	276	6	decomposition	decomposition	NOUN
ejpam-5640	276	7	method	method	NOUN
ejpam-5640	276	8	(	(	PUNCT
ejpam-5640	276	9	adm	adm	PROPN
ejpam-5640	276	10	)	)	PUNCT
ejpam-5640	276	11	.	.	PUNCT
ejpam-5640	277	1	journal	journal	PROPN
ejpam-5640	277	2	of	of	ADP
ejpam-5640	277	3	computational	computational	ADJ
ejpam-5640	277	4	science	science	NOUN
ejpam-5640	277	5	,	,	PUNCT
ejpam-5640	277	6	31:54–59	31:54–59	PROPN
ejpam-5640	277	7	,	,	PUNCT
ejpam-5640	277	8	2019	2019	NUM
ejpam-5640	277	9	.	.	PUNCT
ejpam-5640	278	1	[	[	X
ejpam-5640	278	2	26	26	NUM
ejpam-5640	278	3	]	]	PUNCT
ejpam-5640	278	4	m.	m.	NOUN
ejpam-5640	278	5	turkyilmazoglu	turkyilmazoglu	NOUN
ejpam-5640	278	6	.	.	PUNCT
ejpam-5640	279	1	nonlinear	nonlinear	ADJ
ejpam-5640	279	2	problems	problem	NOUN
ejpam-5640	279	3	via	via	ADP
ejpam-5640	279	4	a	a	DET
ejpam-5640	279	5	convergence	convergence	NOUN
ejpam-5640	279	6	accelerated	accelerate	VERB
ejpam-5640	279	7	decomposition	decomposition	NOUN
ejpam-5640	279	8	method	method	NOUN
ejpam-5640	279	9	of	of	ADP
ejpam-5640	279	10	adomian	adomian	NOUN
ejpam-5640	279	11	.	.	PUNCT
ejpam-5640	280	1	computer	computer	NOUN
ejpam-5640	280	2	modeling	modeling	NOUN
ejpam-5640	280	3	in	in	ADP
ejpam-5640	280	4	engineering	engineering	NOUN
ejpam-5640	280	5	sciences	science	NOUN
ejpam-5640	280	6	,	,	PUNCT
ejpam-5640	280	7	127(1):1–22	127(1):1–22	NUM
ejpam-5640	280	8	,	,	PUNCT
ejpam-5640	280	9	2021	2021	NUM
ejpam-5640	280	10	.	.	PUNCT
ejpam-5640	281	1	[	[	X
ejpam-5640	281	2	27	27	NUM
ejpam-5640	281	3	]	]	PUNCT
ejpam-5640	281	4	m.	m.	NOUN
ejpam-5640	281	5	f.	f.	PROPN
ejpam-5640	281	6	uddin	uddin	PROPN
ejpam-5640	281	7	and	and	CCONJ
ejpam-5640	281	8	m.	m.	PROPN
ejpam-5640	281	9	g.	g.	PROPN
ejpam-5640	281	10	hafez	hafez	PROPN
ejpam-5640	281	11	.	.	PUNCT
ejpam-5640	282	1	optical	optical	ADJ
ejpam-5640	282	2	wave	wave	NOUN
ejpam-5640	282	3	phenomena	phenomenon	NOUN
ejpam-5640	282	4	in	in	ADP
ejpam-5640	282	5	birefringent	birefringent	NOUN
ejpam-5640	282	6	fibers	fiber	NOUN
ejpam-5640	282	7	described	describe	VERB
ejpam-5640	282	8	by	by	ADP
ejpam-5640	282	9	space	space	NOUN
ejpam-5640	282	10	-	-	PUNCT
ejpam-5640	282	11	time	time	NOUN
ejpam-5640	282	12	fractional	fractional	ADJ
ejpam-5640	282	13	cubic	cubic	ADJ
ejpam-5640	282	14	-	-	PUNCT
ejpam-5640	282	15	quartic	quartic	ADJ
ejpam-5640	282	16	nonlinear	nonlinear	ADJ
ejpam-5640	282	17	schrödinger	schrödinger	NOUN
ejpam-5640	282	18	equation	equation	NOUN
ejpam-5640	282	19	with	with	ADP
ejpam-5640	282	20	the	the	DET
ejpam-5640	282	21	sense	sense	NOUN
ejpam-5640	282	22	of	of	ADP
ejpam-5640	282	23	beta	beta	ADJ
ejpam-5640	282	24	and	and	CCONJ
ejpam-5640	282	25	conformable	conformable	ADJ
ejpam-5640	282	26	derivative	derivative	NOUN
ejpam-5640	282	27	.	.	PUNCT
ejpam-5640	283	1	advances	advance	NOUN
ejpam-5640	283	2	in	in	ADP
ejpam-5640	283	3	mathematical	mathematical	ADJ
ejpam-5640	283	4	physics	physics	NOUN
ejpam-5640	283	5	,	,	PUNCT
ejpam-5640	283	6	2022(1):7265164	2022(1):7265164	NOUN
ejpam-5640	283	7	,	,	PUNCT
ejpam-5640	283	8	2022	2022	NUM
ejpam-5640	283	9	.	.	PUNCT
ejpam-5640	284	1	[	[	X
ejpam-5640	284	2	28	28	NUM
ejpam-5640	284	3	]	]	X
ejpam-5640	284	4	m.	m.	PROPN
ejpam-5640	284	5	f.	f.	PROPN
ejpam-5640	284	6	uddin	uddin	PROPN
ejpam-5640	284	7	,	,	PUNCT
ejpam-5640	284	8	m.	m.	NOUN
ejpam-5640	284	9	g.	g.	PROPN
ejpam-5640	284	10	hafez	hafez	PROPN
ejpam-5640	284	11	,	,	PUNCT
ejpam-5640	284	12	z.	z.	PROPN
ejpam-5640	284	13	hammouch	hammouch	PROPN
ejpam-5640	284	14	,	,	PUNCT
ejpam-5640	284	15	h.	h.	PROPN
ejpam-5640	284	16	rezazadeh	rezazadeh	PROPN
ejpam-5640	284	17	,	,	PUNCT
ejpam-5640	284	18	and	and	CCONJ
ejpam-5640	284	19	d.	d.	PROPN
ejpam-5640	284	20	baleanu	baleanu	PROPN
ejpam-5640	284	21	.	.	PUNCT
ejpam-5640	285	1	traveling	travel	VERB
ejpam-5640	285	2	wave	wave	NOUN
ejpam-5640	285	3	with	with	ADP
ejpam-5640	285	4	beta	beta	ADJ
ejpam-5640	285	5	derivative	derivative	ADJ
ejpam-5640	285	6	spatial	spatial	ADJ
ejpam-5640	285	7	-	-	PUNCT
ejpam-5640	285	8	temporal	temporal	ADJ
ejpam-5640	285	9	evolution	evolution	NOUN
ejpam-5640	285	10	for	for	ADP
ejpam-5640	285	11	describing	describe	VERB
ejpam-5640	285	12	the	the	DET
ejpam-5640	285	13	nonlinear	nonlinear	ADJ
ejpam-5640	285	14	directional	directional	ADJ
ejpam-5640	285	15	couplers	coupler	NOUN
ejpam-5640	285	16	with	with	ADP
ejpam-5640	285	17	metamaterials	metamaterial	NOUN
ejpam-5640	285	18	via	via	ADP
ejpam-5640	285	19	two	two	NUM
ejpam-5640	285	20	distinct	distinct	ADJ
ejpam-5640	285	21	methods	method	NOUN
ejpam-5640	285	22	.	.	PUNCT
ejpam-5640	286	1	alexandria	alexandria	PROPN
ejpam-5640	286	2	engineering	engineering	PROPN
ejpam-5640	286	3	journal	journal	PROPN
ejpam-5640	286	4	,	,	PUNCT
ejpam-5640	286	5	60(1):1055–1065	60(1):1055–1065	NUM
ejpam-5640	286	6	,	,	PUNCT
ejpam-5640	286	7	2021	2021	NUM
ejpam-5640	286	8	.	.	PUNCT
ejpam-5640	287	1	[	[	X
ejpam-5640	287	2	29	29	NUM
ejpam-5640	287	3	]	]	X
ejpam-5640	287	4	y.	y.	PROPN
ejpam-5640	287	5	yildirim	yildirim	PROPN
ejpam-5640	287	6	.	.	PUNCT
ejpam-5640	288	1	bright	bright	ADJ
ejpam-5640	288	2	,	,	PUNCT
ejpam-5640	288	3	dark	dark	ADJ
ejpam-5640	288	4	and	and	CCONJ
ejpam-5640	288	5	singular	singular	ADJ
ejpam-5640	288	6	optical	optical	ADJ
ejpam-5640	288	7	solitons	soliton	NOUN
ejpam-5640	288	8	to	to	ADP
ejpam-5640	288	9	kundu	kundu	NOUN
ejpam-5640	288	10	–	–	PUNCT
ejpam-5640	288	11	eckhaus	eckhaus	NOUN
ejpam-5640	288	12	equation	equation	NOUN
ejpam-5640	288	13	having	have	VERB
ejpam-5640	288	14	four	four	NUM
ejpam-5640	288	15	-	-	PUNCT
ejpam-5640	288	16	wave	wave	NOUN
ejpam-5640	288	17	mixing	mixing	NOUN
ejpam-5640	288	18	in	in	ADP
ejpam-5640	288	19	the	the	DET
ejpam-5640	288	20	context	context	NOUN
ejpam-5640	288	21	of	of	ADP
ejpam-5640	288	22	birefringent	birefringent	NOUN
ejpam-5640	288	23	fibers	fiber	NOUN
ejpam-5640	288	24	by	by	ADP
ejpam-5640	288	25	using	use	VERB
ejpam-5640	288	26	of	of	ADP
ejpam-5640	288	27	modified	modify	VERB
ejpam-5640	288	28	simple	simple	ADJ
ejpam-5640	288	29	equation	equation	NOUN
ejpam-5640	288	30	methodology	methodology	NOUN
ejpam-5640	288	31	.	.	PUNCT
ejpam-5640	289	1	optik	optik	PROPN
ejpam-5640	289	2	,	,	PUNCT
ejpam-5640	289	3	182:110–118	182:110–118	NUM
ejpam-5640	289	4	,	,	PUNCT
ejpam-5640	289	5	2019	2019	NUM
ejpam-5640	289	6	.	.	PUNCT
ejpam-5640	290	1	[	[	X
ejpam-5640	290	2	30	30	NUM
ejpam-5640	290	3	]	]	X
ejpam-5640	290	4	y.	y.	PROPN
ejpam-5640	290	5	yildirim	yildirim	PROPN
ejpam-5640	290	6	.	.	PUNCT
ejpam-5640	291	1	optical	optical	ADJ
ejpam-5640	291	2	solitons	soliton	NOUN
ejpam-5640	291	3	of	of	ADP
ejpam-5640	291	4	biswas	biswas	NOUN
ejpam-5640	291	5	-	-	PUNCT
ejpam-5640	291	6	arshed	arshe	VERB
ejpam-5640	291	7	equation	equation	NOUN
ejpam-5640	291	8	in	in	ADP
ejpam-5640	291	9	birefringent	birefringent	NOUN
ejpam-5640	291	10	fibers	fiber	NOUN
ejpam-5640	291	11	by	by	ADP
ejpam-5640	291	12	trial	trial	NOUN
ejpam-5640	291	13	equation	equation	NOUN
ejpam-5640	291	14	technique	technique	NOUN
ejpam-5640	291	15	.	.	PUNCT
ejpam-5640	292	1	optik	optik	PROPN
ejpam-5640	292	2	,	,	PUNCT
ejpam-5640	292	3	182:810–820	182:810–820	NUM
ejpam-5640	292	4	,	,	PUNCT
ejpam-5640	292	5	2019	2019	NUM
ejpam-5640	292	6	.	.	PUNCT
ejpam-5640	293	1	[	[	X
ejpam-5640	293	2	31	31	NUM
ejpam-5640	293	3	]	]	X
ejpam-5640	293	4	y.	y.	PROPN
ejpam-5640	293	5	yildirim	yildirim	PROPN
ejpam-5640	293	6	.	.	PUNCT
ejpam-5640	294	1	optical	optical	ADJ
ejpam-5640	294	2	solitons	soliton	NOUN
ejpam-5640	294	3	to	to	ADP
ejpam-5640	294	4	biswas	biswas	NOUN
ejpam-5640	294	5	-	-	PUNCT
ejpam-5640	294	6	arshed	arshe	VERB
ejpam-5640	294	7	model	model	NOUN
ejpam-5640	294	8	in	in	ADP
ejpam-5640	294	9	birefringent	birefringent	NOUN
ejpam-5640	294	10	fibers	fiber	NOUN
ejpam-5640	294	11	using	use	VERB
ejpam-5640	294	12	modified	modified	ADJ
ejpam-5640	294	13	simple	simple	ADJ
ejpam-5640	294	14	equation	equation	NOUN
ejpam-5640	294	15	architecture	architecture	NOUN
ejpam-5640	294	16	.	.	PUNCT
ejpam-5640	295	1	optik	optik	PROPN
ejpam-5640	295	2	,	,	PUNCT
ejpam-5640	295	3	182:1149–1162	182:1149–1162	NOUN
ejpam-5640	295	4	,	,	PUNCT
ejpam-5640	295	5	2019	2019	NUM
ejpam-5640	295	6	.	.	PUNCT
ejpam-5640	296	1	[	[	X
ejpam-5640	296	2	32	32	NUM
ejpam-5640	296	3	]	]	X
ejpam-5640	296	4	y.	y.	PROPN
ejpam-5640	296	5	yildirim	yildirim	PROPN
ejpam-5640	296	6	,	,	PUNCT
ejpam-5640	296	7	a.	a.	PROPN
ejpam-5640	296	8	biswas	biswas	PROPN
ejpam-5640	296	9	,	,	PUNCT
ejpam-5640	296	10	m.	m.	NOUN
ejpam-5640	296	11	ekici	ekici	PROPN
ejpam-5640	296	12	,	,	PUNCT
ejpam-5640	296	13	h.	h.	PROPN
ejpam-5640	296	14	triki	triki	PROPN
ejpam-5640	296	15	,	,	PUNCT
ejpam-5640	296	16	o.	o.	PROPN
ejpam-5640	296	17	gonzalez	gonzalez	PROPN
ejpam-5640	296	18	-	-	PUNCT
ejpam-5640	296	19	gaxiola	gaxiola	PROPN
ejpam-5640	296	20	,	,	PUNCT
ejpam-5640	296	21	a.	a.	PROPN
ejpam-5640	296	22	k.	k.	PROPN
ejpam-5640	296	23	alzahrani	alzahrani	PROPN
ejpam-5640	296	24	,	,	PUNCT
ejpam-5640	296	25	and	and	CCONJ
ejpam-5640	296	26	m.	m.	PROPN
ejpam-5640	296	27	r.	r.	PROPN
ejpam-5640	296	28	belic	belic	PROPN
ejpam-5640	296	29	.	.	PUNCT
ejpam-5640	297	1	optical	optical	ADJ
ejpam-5640	297	2	solitons	soliton	NOUN
ejpam-5640	297	3	in	in	ADP
ejpam-5640	297	4	birefringent	birefringent	NOUN
ejpam-5640	297	5	fibers	fiber	NOUN
ejpam-5640	297	6	for	for	ADP
ejpam-5640	297	7	radhakrishnan	radhakrishnan	PROPN
ejpam-5640	297	8	–	–	PUNCT
ejpam-5640	297	9	kundu	kundu	NOUN
ejpam-5640	297	10	–	–	PUNCT
ejpam-5640	297	11	lakshmanan	lakshmanan	NOUN
ejpam-5640	297	12	equation	equation	NOUN
ejpam-5640	297	13	with	with	ADP
ejpam-5640	297	14	five	five	NUM
ejpam-5640	297	15	prolific	prolific	ADJ
ejpam-5640	297	16	integration	integration	NOUN
ejpam-5640	297	17	norms	norm	NOUN
ejpam-5640	297	18	.	.	PUNCT
ejpam-5640	298	1	optik	optik	PROPN
ejpam-5640	298	2	,	,	PUNCT
ejpam-5640	298	3	208:164550	208:164550	NUM
ejpam-5640	298	4	,	,	PUNCT
ejpam-5640	298	5	2020	2020	NUM
ejpam-5640	298	6	.	.	PUNCT
ejpam-5640	299	1	[	[	X
ejpam-5640	299	2	33	33	NUM
ejpam-5640	299	3	]	]	X
ejpam-5640	299	4	y.	y.	PROPN
ejpam-5640	299	5	yildirim	yildirim	PROPN
ejpam-5640	299	6	,	,	PUNCT
ejpam-5640	299	7	a.	a.	PROPN
ejpam-5640	299	8	biswas	biswas	PROPN
ejpam-5640	299	9	,	,	PUNCT
ejpam-5640	299	10	and	and	CCONJ
ejpam-5640	299	11	a.	a.	PROPN
ejpam-5640	299	12	j.	j.	PROPN
ejpam-5640	299	13	m.	m.	PROPN
ejpam-5640	299	14	jawad	jawad	PROPN
ejpam-5640	299	15	et	et	PROPN
ejpam-5640	299	16	al	al	PROPN
ejpam-5640	299	17	.	.	PROPN
ejpam-5640	299	18	cubic	cubic	ADJ
ejpam-5640	299	19	-	-	PUNCT
ejpam-5640	299	20	quartic	quartic	ADJ
ejpam-5640	299	21	optical	optical	ADJ
ejpam-5640	299	22	solitons	soliton	NOUN
ejpam-5640	299	23	in	in	ADP
ejpam-5640	299	24	birefringent	birefringent	NOUN
ejpam-5640	299	25	fibers	fiber	NOUN
ejpam-5640	299	26	with	with	ADP
ejpam-5640	299	27	four	four	NUM
ejpam-5640	299	28	forms	form	NOUN
ejpam-5640	299	29	of	of	ADP
ejpam-5640	299	30	nonlinear	nonlinear	ADJ
ejpam-5640	299	31	refractive	refractive	ADJ
ejpam-5640	299	32	index	index	NOUN
ejpam-5640	299	33	by	by	ADP
ejpam-5640	299	34	exp	exp	NOUN
ejpam-5640	299	35	-	-	PUNCT
ejpam-5640	299	36	function	function	NOUN
ejpam-5640	299	37	expansion	expansion	NOUN
ejpam-5640	299	38	.	.	PUNCT
ejpam-5640	300	1	results	result	NOUN
ejpam-5640	300	2	in	in	ADP
ejpam-5640	300	3	physics	physics	NOUN
ejpam-5640	300	4	,	,	PUNCT
ejpam-5640	300	5	16	16	NUM
ejpam-5640	300	6	,	,	PUNCT
ejpam-5640	300	7	2020	2020	NUM
ejpam-5640	300	8	.	.	PUNCT
ejpam-5640	301	1	[	[	X
ejpam-5640	301	2	34	34	NUM
ejpam-5640	301	3	]	]	X
ejpam-5640	301	4	y.	y.	PROPN
ejpam-5640	301	5	yildirim	yildirim	PROPN
ejpam-5640	301	6	,	,	PUNCT
ejpam-5640	301	7	a.	a.	PROPN
ejpam-5640	301	8	biswas	biswas	PROPN
ejpam-5640	301	9	,	,	PUNCT
ejpam-5640	301	10	p.	p.	PROPN
ejpam-5640	301	11	guggilla	guggilla	PROPN
ejpam-5640	301	12	,	,	PUNCT
ejpam-5640	301	13	f.	f.	PROPN
ejpam-5640	301	14	mallawi	mallawi	PROPN
ejpam-5640	301	15	,	,	PUNCT
ejpam-5640	301	16	and	and	CCONJ
ejpam-5640	301	17	m.	m.	PROPN
ejpam-5640	301	18	r.	r.	PROPN
ejpam-5640	301	19	belic	belic	PROPN
ejpam-5640	301	20	.	.	PUNCT
ejpam-5640	302	1	cubic	cubic	ADJ
ejpam-5640	302	2	-	-	PUNCT
ejpam-5640	302	3	quartic	quartic	ADJ
ejpam-5640	302	4	optical	optical	ADJ
ejpam-5640	302	5	solitons	soliton	NOUN
ejpam-5640	302	6	in	in	ADP
ejpam-5640	302	7	birefringent	birefringent	NOUN
ejpam-5640	302	8	fibers	fiber	NOUN
ejpam-5640	302	9	with	with	ADP
ejpam-5640	302	10	four	four	NUM
ejpam-5640	302	11	forms	form	NOUN
ejpam-5640	302	12	of	of	ADP
ejpam-5640	302	13	nonlinear	nonlinear	ADJ
ejpam-5640	302	14	refractive	refractive	ADJ
ejpam-5640	302	15	index	index	NOUN
ejpam-5640	302	16	.	.	PUNCT
ejpam-5640	303	1	optik	optik	PROPN
ejpam-5640	303	2	,	,	PUNCT
ejpam-5640	303	3	203	203	NUM
ejpam-5640	303	4	,	,	PUNCT
ejpam-5640	303	5	2020	2020	NUM
ejpam-5640	303	6	.	.	PUNCT
ejpam-5640	304	1	[	[	X
ejpam-5640	304	2	35	35	NUM
ejpam-5640	304	3	]	]	PUNCT
ejpam-5640	304	4	q.	q.	PROPN
ejpam-5640	304	5	zhou	zhou	PROPN
ejpam-5640	304	6	,	,	PUNCT
ejpam-5640	304	7	d.	d.	PROPN
ejpam-5640	304	8	yao	yao	PROPN
ejpam-5640	304	9	,	,	PUNCT
ejpam-5640	304	10	f.	f.	PROPN
ejpam-5640	304	11	chen	chen	PROPN
ejpam-5640	304	12	,	,	PUNCT
ejpam-5640	304	13	and	and	CCONJ
ejpam-5640	304	14	w.	w.	PROPN
ejpam-5640	304	15	li	li	PROPN
ejpam-5640	304	16	.	.	PROPN
ejpam-5640	304	17	optical	optical	ADJ
ejpam-5640	304	18	solitons	soliton	NOUN
ejpam-5640	304	19	in	in	ADP
ejpam-5640	304	20	gasfilled	gasfille	VERB
ejpam-5640	304	21	,	,	PUNCT
ejpam-5640	304	22	hollow	hollow	ADJ
ejpam-5640	304	23	-	-	PUNCT
ejpam-5640	304	24	core	core	NOUN
ejpam-5640	304	25	photonic	photonic	ADJ
ejpam-5640	304	26	crystal	crystal	NOUN
ejpam-5640	304	27	fibers	fiber	NOUN
ejpam-5640	304	28	with	with	ADP
ejpam-5640	304	29	inter	inter	ADJ
ejpam-5640	304	30	-	-	ADJ
ejpam-5640	304	31	modal	modal	ADJ
ejpam-5640	304	32	dispersion	dispersion	NOUN
ejpam-5640	304	33	and	and	CCONJ
ejpam-5640	304	34	self	self	NOUN
ejpam-5640	304	35	-	-	PUNCT
ejpam-5640	304	36	steepening	steepen	VERB
ejpam-5640	304	37	.	.	PUNCT
ejpam-5640	304	38	journal	journal	NOUN
ejpam-5640	304	39	of	of	ADP
ejpam-5640	304	40	modern	modern	ADJ
ejpam-5640	304	41	optics	optic	NOUN
ejpam-5640	304	42	,	,	PUNCT
ejpam-5640	304	43	60(10):854–859	60(10):854–859	PROPN
ejpam-5640	304	44	,	,	PUNCT
ejpam-5640	304	45	2013	2013	NUM
ejpam-5640	304	46	.	.	PUNCT