id	sid	tid	token	lemma	pos
ejpam-6587	1	1	european	european	PROPN
ejpam-6587	1	2	journal	journal	PROPN
ejpam-6587	1	3	of	of	ADP
ejpam-6587	1	4	pure	pure	ADJ
ejpam-6587	1	5	and	and	CCONJ
ejpam-6587	1	6	applied	applied	ADJ
ejpam-6587	1	7	mathematics	mathematic	NOUN
ejpam-6587	1	8	2025	2025	NUM
ejpam-6587	1	9	,	,	PUNCT
ejpam-6587	1	10	vol	vol	NOUN
ejpam-6587	1	11	.	.	PROPN
ejpam-6587	1	12	18	18	NUM
ejpam-6587	1	13	,	,	PUNCT
ejpam-6587	1	14	issue	issue	NOUN
ejpam-6587	1	15	4	4	NUM
ejpam-6587	1	16	,	,	PUNCT
ejpam-6587	1	17	article	article	NOUN
ejpam-6587	1	18	number	number	NOUN
ejpam-6587	1	19	6587	6587	NUM
ejpam-6587	1	20	issn	issn	PROPN
ejpam-6587	1	21	1307	1307	NUM
ejpam-6587	1	22	-	-	SYM
ejpam-6587	1	23	5543	5543	NUM
ejpam-6587	1	24	–	–	PUNCT
ejpam-6587	1	25	ejpam.com	ejpam.com	X
ejpam-6587	1	26	published	publish	VERB
ejpam-6587	1	27	by	by	ADP
ejpam-6587	1	28	new	new	PROPN
ejpam-6587	1	29	york	york	PROPN
ejpam-6587	1	30	business	business	PROPN
ejpam-6587	1	31	global	global	ADJ
ejpam-6587	1	32	random	random	ADJ
ejpam-6587	1	33	exact	exact	ADJ
ejpam-6587	1	34	solutions	solution	NOUN
ejpam-6587	1	35	for	for	ADP
ejpam-6587	1	36	the	the	DET
ejpam-6587	1	37	stochastic	stochastic	ADJ
ejpam-6587	1	38	korteweg	korteweg	NOUN
ejpam-6587	1	39	-	-	PUNCT
ejpam-6587	1	40	de	de	NOUN
ejpam-6587	1	41	vries	vries	PROPN
ejpam-6587	1	42	equation	equation	NOUN
ejpam-6587	1	43	altaf	altaf	PROPN
ejpam-6587	1	44	alshuhail1	alshuhail1	PROPN
ejpam-6587	1	45	,	,	PUNCT
ejpam-6587	1	46	taher	taher	PROPN
ejpam-6587	1	47	s.	s.	PROPN
ejpam-6587	1	48	hassan1	hassan1	PROPN
ejpam-6587	1	49	,	,	PUNCT
ejpam-6587	1	50	mohamed	mohamed	PROPN
ejpam-6587	1	51	s.	s.	PROPN
ejpam-6587	1	52	algolam1	algolam1	PROPN
ejpam-6587	1	53	,	,	PUNCT
ejpam-6587	1	54	athar	athar	PROPN
ejpam-6587	1	55	i.	i.	PROPN
ejpam-6587	1	56	ahmed1	ahmed1	PROPN
ejpam-6587	1	57	,	,	PUNCT
ejpam-6587	1	58	wael	wael	PROPN
ejpam-6587	1	59	w.	w.	PROPN
ejpam-6587	1	60	mohammed1,∗	mohammed1,∗	PROPN
ejpam-6587	1	61	1	1	NUM
ejpam-6587	1	62	department	department	NOUN
ejpam-6587	1	63	of	of	ADP
ejpam-6587	1	64	mathematics	mathematic	NOUN
ejpam-6587	1	65	,	,	PUNCT
ejpam-6587	1	66	college	college	NOUN
ejpam-6587	1	67	of	of	ADP
ejpam-6587	1	68	science	science	NOUN
ejpam-6587	1	69	,	,	PUNCT
ejpam-6587	1	70	university	university	NOUN
ejpam-6587	1	71	of	of	ADP
ejpam-6587	1	72	ha’il	ha’il	PROPN
ejpam-6587	1	73	,	,	PUNCT
ejpam-6587	1	74	ha’il	ha’il	PROPN
ejpam-6587	1	75	2440	2440	NUM
ejpam-6587	1	76	,	,	PUNCT
ejpam-6587	1	77	saudi	saudi	PROPN
ejpam-6587	1	78	arabia	arabia	PROPN
ejpam-6587	1	79	abstract	abstract	NOUN
ejpam-6587	1	80	.	.	PUNCT
ejpam-6587	2	1	this	this	DET
ejpam-6587	2	2	paper	paper	NOUN
ejpam-6587	2	3	considers	consider	VERB
ejpam-6587	2	4	the	the	DET
ejpam-6587	2	5	stochastic	stochastic	ADJ
ejpam-6587	2	6	korteweg	korteweg	NOUN
ejpam-6587	2	7	-	-	PUNCT
ejpam-6587	2	8	de	de	X
ejpam-6587	2	9	–	–	PUNCT
ejpam-6587	2	10	de	de	X
ejpam-6587	2	11	vries	vries	PROPN
ejpam-6587	2	12	(	(	PUNCT
ejpam-6587	2	13	skdv	skdv	NOUN
ejpam-6587	2	14	)	)	PUNCT
ejpam-6587	2	15	equation	equation	NOUN
ejpam-6587	2	16	perturbed	perturb	VERB
ejpam-6587	2	17	by	by	ADP
ejpam-6587	2	18	multiplicative	multiplicative	ADJ
ejpam-6587	2	19	brownian	brownian	ADJ
ejpam-6587	2	20	motion	motion	NOUN
ejpam-6587	2	21	,	,	PUNCT
ejpam-6587	2	22	which	which	PRON
ejpam-6587	2	23	is	be	AUX
ejpam-6587	2	24	an	an	DET
ejpam-6587	2	25	important	important	ADJ
ejpam-6587	2	26	model	model	NOUN
ejpam-6587	2	27	reflecting	reflect	VERB
ejpam-6587	2	28	the	the	DET
ejpam-6587	2	29	nonlinear	nonlinear	ADJ
ejpam-6587	2	30	science	science	NOUN
ejpam-6587	2	31	.	.	PUNCT
ejpam-6587	3	1	after	after	ADP
ejpam-6587	3	2	a	a	DET
ejpam-6587	3	3	systematic	systematic	ADJ
ejpam-6587	3	4	change	change	NOUN
ejpam-6587	3	5	and	and	CCONJ
ejpam-6587	3	6	a	a	DET
ejpam-6587	3	7	rescaling	rescaling	NOUN
ejpam-6587	3	8	,	,	PUNCT
ejpam-6587	3	9	the	the	DET
ejpam-6587	3	10	skdv	skdv	NOUN
ejpam-6587	3	11	equation	equation	NOUN
ejpam-6587	3	12	is	be	AUX
ejpam-6587	3	13	exactly	exactly	ADV
ejpam-6587	3	14	recast	recast	VERB
ejpam-6587	3	15	into	into	ADP
ejpam-6587	3	16	a	a	DET
ejpam-6587	3	17	deterministic	deterministic	ADJ
ejpam-6587	3	18	kdv	kdv	NOUN
ejpam-6587	3	19	equation	equation	NOUN
ejpam-6587	3	20	with	with	ADP
ejpam-6587	3	21	random	random	ADJ
ejpam-6587	3	22	variable	variable	ADJ
ejpam-6587	3	23	coefficients	coefficient	NOUN
ejpam-6587	3	24	(	(	PUNCT
ejpam-6587	3	25	kdv	kdv	NOUN
ejpam-6587	3	26	-	-	PUNCT
ejpam-6587	3	27	rvcs	rvcs	ADJ
ejpam-6587	3	28	)	)	PUNCT
ejpam-6587	3	29	.	.	PUNCT
ejpam-6587	4	1	by	by	ADP
ejpam-6587	4	2	using	use	VERB
ejpam-6587	4	3	the	the	DET
ejpam-6587	4	4	jacobi	jacobi	PROPN
ejpam-6587	4	5	elliptic	elliptic	ADJ
ejpam-6587	4	6	equation	equation	NOUN
ejpam-6587	4	7	method	method	NOUN
ejpam-6587	4	8	and	and	CCONJ
ejpam-6587	4	9	the	the	DET
ejpam-6587	4	10	generalized	generalized	ADJ
ejpam-6587	4	11	riccati	riccati	NOUN
ejpam-6587	4	12	equation	equation	NOUN
ejpam-6587	4	13	mapping	mapping	NOUN
ejpam-6587	4	14	approach	approach	NOUN
ejpam-6587	4	15	,	,	PUNCT
ejpam-6587	4	16	we	we	PRON
ejpam-6587	4	17	obtain	obtain	VERB
ejpam-6587	4	18	new	new	ADJ
ejpam-6587	4	19	exact	exact	ADJ
ejpam-6587	4	20	solutions	solution	NOUN
ejpam-6587	4	21	(	(	PUNCT
ejpam-6587	4	22	rational	rational	ADJ
ejpam-6587	4	23	,	,	PUNCT
ejpam-6587	4	24	hyperbolic	hyperbolic	ADJ
ejpam-6587	4	25	,	,	PUNCT
ejpam-6587	4	26	trigonometric	trigonometric	ADJ
ejpam-6587	4	27	,	,	PUNCT
ejpam-6587	4	28	and	and	CCONJ
ejpam-6587	4	29	elliptic	elliptic	ADJ
ejpam-6587	4	30	)	)	PUNCT
ejpam-6587	4	31	for	for	ADP
ejpam-6587	4	32	the	the	DET
ejpam-6587	4	33	kdv	kdv	NOUN
ejpam-6587	4	34	-	-	PUNCT
ejpam-6587	4	35	rvcs	rvcs	NOUN
ejpam-6587	4	36	.	.	PUNCT
ejpam-6587	5	1	after	after	ADP
ejpam-6587	5	2	that	that	PRON
ejpam-6587	5	3	,	,	PUNCT
ejpam-6587	5	4	we	we	PRON
ejpam-6587	5	5	use	use	VERB
ejpam-6587	5	6	the	the	DET
ejpam-6587	5	7	obtained	obtain	VERB
ejpam-6587	5	8	solutions	solution	NOUN
ejpam-6587	5	9	to	to	PART
ejpam-6587	5	10	obtain	obtain	VERB
ejpam-6587	5	11	the	the	DET
ejpam-6587	5	12	stochastic	stochastic	ADJ
ejpam-6587	5	13	solutions	solution	NOUN
ejpam-6587	5	14	for	for	ADP
ejpam-6587	5	15	the	the	DET
ejpam-6587	5	16	skdv	skdv	NOUN
ejpam-6587	5	17	equation	equation	NOUN
ejpam-6587	5	18	.	.	PUNCT
ejpam-6587	6	1	of	of	ADP
ejpam-6587	6	2	practical	practical	ADJ
ejpam-6587	6	3	interest	interest	NOUN
ejpam-6587	6	4	,	,	PUNCT
ejpam-6587	6	5	these	these	DET
ejpam-6587	6	6	results	result	NOUN
ejpam-6587	6	7	are	be	AUX
ejpam-6587	6	8	related	relate	VERB
ejpam-6587	6	9	to	to	ADP
ejpam-6587	6	10	specific	specific	ADJ
ejpam-6587	6	11	physical	physical	ADJ
ejpam-6587	6	12	systems	system	NOUN
ejpam-6587	6	13	:	:	PUNCT
ejpam-6587	6	14	magnetized	magnetize	VERB
ejpam-6587	6	15	plasmas	plasma	NOUN
ejpam-6587	6	16	in	in	ADP
ejpam-6587	6	17	astrophysics	astrophysic	NOUN
ejpam-6587	6	18	and	and	CCONJ
ejpam-6587	6	19	in	in	ADP
ejpam-6587	6	20	1d/2d	1d/2d	NUM
ejpam-6587	6	21	fusion	fusion	NOUN
ejpam-6587	6	22	,	,	PUNCT
ejpam-6587	6	23	soliton	soliton	NOUN
ejpam-6587	6	24	propagation	propagation	NOUN
ejpam-6587	6	25	in	in	ADP
ejpam-6587	6	26	fiber	fiber	NOUN
ejpam-6587	6	27	optical	optical	ADJ
ejpam-6587	6	28	communication	communication	NOUN
ejpam-6587	6	29	,	,	PUNCT
ejpam-6587	6	30	and	and	CCONJ
ejpam-6587	6	31	surface	surface	NOUN
ejpam-6587	6	32	-	-	PUNCT
ejpam-6587	6	33	wave	wave	NOUN
ejpam-6587	6	34	dynamics	dynamic	NOUN
ejpam-6587	6	35	in	in	ADP
ejpam-6587	6	36	fluid	fluid	ADJ
ejpam-6587	6	37	mechanics	mechanic	NOUN
ejpam-6587	6	38	.	.	PUNCT
ejpam-6587	7	1	for	for	ADP
ejpam-6587	7	2	example	example	NOUN
ejpam-6587	7	3	,	,	PUNCT
ejpam-6587	7	4	the	the	DET
ejpam-6587	7	5	resulting	result	VERB
ejpam-6587	7	6	solutions	solution	NOUN
ejpam-6587	7	7	explain	explain	VERB
ejpam-6587	7	8	how	how	SCONJ
ejpam-6587	7	9	noise	noise	NOUN
ejpam-6587	7	10	-	-	PUNCT
ejpam-6587	7	11	induced	induce	VERB
ejpam-6587	7	12	perturbations	perturbation	NOUN
ejpam-6587	7	13	change	change	VERB
ejpam-6587	7	14	soliton	soliton	NOUN
ejpam-6587	7	15	propagation	propagation	NOUN
ejpam-6587	7	16	in	in	ADP
ejpam-6587	7	17	optical	optical	ADJ
ejpam-6587	7	18	fibers	fiber	NOUN
ejpam-6587	7	19	and	and	CCONJ
ejpam-6587	7	20	stabilize	stabilize	VERB
ejpam-6587	7	21	wave	wave	NOUN
ejpam-6587	7	22	patterns	pattern	NOUN
ejpam-6587	7	23	in	in	ADP
ejpam-6587	7	24	turbulence	turbulence	NOUN
ejpam-6587	7	25	.	.	PUNCT
ejpam-6587	8	1	to	to	PART
ejpam-6587	8	2	give	give	VERB
ejpam-6587	8	3	some	some	DET
ejpam-6587	8	4	(	(	PUNCT
ejpam-6587	8	5	visual	visual	ADJ
ejpam-6587	8	6	)	)	PUNCT
ejpam-6587	8	7	impression	impression	NOUN
ejpam-6587	8	8	of	of	ADP
ejpam-6587	8	9	how	how	SCONJ
ejpam-6587	8	10	multiplicative	multiplicative	ADJ
ejpam-6587	8	11	noise	noise	NOUN
ejpam-6587	8	12	influences	influence	VERB
ejpam-6587	8	13	the	the	DET
ejpam-6587	8	14	solution	solution	NOUN
ejpam-6587	8	15	behavior	behavior	NOUN
ejpam-6587	8	16	,	,	PUNCT
ejpam-6587	8	17	we	we	PRON
ejpam-6587	8	18	use	use	VERB
ejpam-6587	8	19	pictures	picture	NOUN
ejpam-6587	8	20	of	of	ADP
ejpam-6587	8	21	the	the	DET
ejpam-6587	8	22	probability	probability	NOUN
ejpam-6587	8	23	density	density	NOUN
ejpam-6587	8	24	distributions	distribution	NOUN
ejpam-6587	8	25	and	and	CCONJ
ejpam-6587	8	26	ensemble	ensemble	ADJ
ejpam-6587	8	27	-	-	PUNCT
ejpam-6587	8	28	averaged	average	VERB
ejpam-6587	8	29	trajectories	trajectory	NOUN
ejpam-6587	8	30	as	as	ADP
ejpam-6587	8	31	examples	example	NOUN
ejpam-6587	8	32	.	.	PUNCT
ejpam-6587	9	1	these	these	DET
ejpam-6587	9	2	findings	finding	NOUN
ejpam-6587	9	3	show	show	VERB
ejpam-6587	9	4	that	that	SCONJ
ejpam-6587	9	5	multiplicative	multiplicative	ADJ
ejpam-6587	9	6	brownian	brownian	ADJ
ejpam-6587	9	7	motion	motion	NOUN
ejpam-6587	9	8	has	have	VERB
ejpam-6587	9	9	a	a	DET
ejpam-6587	9	10	stabilizing	stabilize	VERB
ejpam-6587	9	11	effect	effect	NOUN
ejpam-6587	9	12	on	on	ADP
ejpam-6587	9	13	the	the	DET
ejpam-6587	9	14	skdv	skdv	ADJ
ejpam-6587	9	15	solutions	solution	NOUN
ejpam-6587	9	16	by	by	ADP
ejpam-6587	9	17	keeping	keep	VERB
ejpam-6587	9	18	their	their	PRON
ejpam-6587	9	19	variations	variation	NOUN
ejpam-6587	9	20	more	more	ADV
ejpam-6587	9	21	or	or	CCONJ
ejpam-6587	9	22	less	less	ADV
ejpam-6587	9	23	near	near	ADP
ejpam-6587	9	24	zero	zero	NUM
ejpam-6587	9	25	.	.	PUNCT
ejpam-6587	10	1	this	this	DET
ejpam-6587	10	2	connection	connection	NOUN
ejpam-6587	10	3	between	between	ADP
ejpam-6587	10	4	stochastic	stochastic	ADJ
ejpam-6587	10	5	modeling	modeling	NOUN
ejpam-6587	10	6	and	and	CCONJ
ejpam-6587	10	7	experimental	experimental	ADJ
ejpam-6587	10	8	observations	observation	NOUN
ejpam-6587	10	9	in	in	ADP
ejpam-6587	10	10	plasma	plasma	NOUN
ejpam-6587	10	11	turbulence	turbulence	NOUN
ejpam-6587	10	12	,	,	PUNCT
ejpam-6587	10	13	nonlinear	nonlinear	ADJ
ejpam-6587	10	14	optical	optical	ADJ
ejpam-6587	10	15	signal	signal	NOUN
ejpam-6587	10	16	processing	processing	NOUN
ejpam-6587	10	17	,	,	PUNCT
ejpam-6587	10	18	and	and	CCONJ
ejpam-6587	10	19	fluid	fluid	ADJ
ejpam-6587	10	20	wave	wave	NOUN
ejpam-6587	10	21	dynamics	dynamic	NOUN
ejpam-6587	10	22	has	have	VERB
ejpam-6587	10	23	implications	implication	NOUN
ejpam-6587	10	24	for	for	ADP
ejpam-6587	10	25	the	the	DET
ejpam-6587	10	26	development	development	NOUN
ejpam-6587	10	27	of	of	ADP
ejpam-6587	10	28	predictive	predictive	ADJ
ejpam-6587	10	29	theories	theory	NOUN
ejpam-6587	10	30	for	for	ADP
ejpam-6587	10	31	noise	noise	NOUN
ejpam-6587	10	32	-	-	PUNCT
ejpam-6587	10	33	driven	drive	VERB
ejpam-6587	10	34	nonlinear	nonlinear	ADJ
ejpam-6587	10	35	systems	system	NOUN
ejpam-6587	10	36	.	.	PUNCT
ejpam-6587	11	1	2020	2020	NUM
ejpam-6587	11	2	mathematics	mathematic	NOUN
ejpam-6587	11	3	subject	subject	NOUN
ejpam-6587	11	4	classifications	classification	NOUN
ejpam-6587	11	5	:	:	PUNCT
ejpam-6587	11	6	35a20	35a20	NUM
ejpam-6587	11	7	,	,	PUNCT
ejpam-6587	11	8	60h10	60h10	NUM
ejpam-6587	11	9	,	,	PUNCT
ejpam-6587	11	10	60h15	60h15	NUM
ejpam-6587	11	11	,	,	PUNCT
ejpam-6587	11	12	35q51	35q51	NUM
ejpam-6587	11	13	,	,	PUNCT
ejpam-6587	11	14	83c15	83c15	NUM
ejpam-6587	11	15	key	key	ADJ
ejpam-6587	11	16	words	word	NOUN
ejpam-6587	11	17	and	and	CCONJ
ejpam-6587	11	18	phrases	phrase	NOUN
ejpam-6587	11	19	:	:	PUNCT
ejpam-6587	11	20	exact	exact	ADJ
ejpam-6587	11	21	stochastic	stochastic	ADJ
ejpam-6587	11	22	solutions	solution	NOUN
ejpam-6587	11	23	,	,	PUNCT
ejpam-6587	11	24	analytical	analytical	ADJ
ejpam-6587	11	25	different	different	ADJ
ejpam-6587	11	26	methods	method	NOUN
ejpam-6587	11	27	,	,	PUNCT
ejpam-6587	11	28	brownian	brownian	ADJ
ejpam-6587	11	29	motion	motion	NOUN
ejpam-6587	11	30	,	,	PUNCT
ejpam-6587	11	31	random	random	ADJ
ejpam-6587	11	32	variable	variable	ADJ
ejpam-6587	11	33	coefficients	coefficient	NOUN
ejpam-6587	11	34	1	1	NUM
ejpam-6587	11	35	.	.	PUNCT
ejpam-6587	12	1	introduction	introduction	NOUN
ejpam-6587	12	2	the	the	DET
ejpam-6587	12	3	kdv	kdv	NOUN
ejpam-6587	12	4	equation	equation	NOUN
ejpam-6587	12	5	,	,	PUNCT
ejpam-6587	12	6	also	also	ADV
ejpam-6587	12	7	known	know	VERB
ejpam-6587	12	8	as	as	ADP
ejpam-6587	12	9	the	the	DET
ejpam-6587	12	10	korteweg	korteweg	NOUN
ejpam-6587	12	11	-	-	PUNCT
ejpam-6587	12	12	de	de	NOUN
ejpam-6587	12	13	vries	vries	PROPN
ejpam-6587	12	14	equation	equation	NOUN
ejpam-6587	12	15	,	,	PUNCT
ejpam-6587	12	16	is	be	AUX
ejpam-6587	12	17	a	a	DET
ejpam-6587	12	18	mathematical	mathematical	ADJ
ejpam-6587	12	19	model	model	NOUN
ejpam-6587	12	20	that	that	PRON
ejpam-6587	12	21	describes	describe	VERB
ejpam-6587	12	22	the	the	DET
ejpam-6587	12	23	behavior	behavior	NOUN
ejpam-6587	12	24	of	of	ADP
ejpam-6587	12	25	waves	wave	NOUN
ejpam-6587	12	26	in	in	ADP
ejpam-6587	12	27	shallow	shallow	ADJ
ejpam-6587	12	28	water	water	NOUN
ejpam-6587	12	29	.	.	PUNCT
ejpam-6587	13	1	the	the	DET
ejpam-6587	13	2	kdv	kdv	NOUN
ejpam-6587	13	3	equation	equation	NOUN
ejpam-6587	13	4	derives	derive	VERB
ejpam-6587	13	5	its	its	PRON
ejpam-6587	13	6	name	name	NOUN
ejpam-6587	13	7	from	from	ADP
ejpam-6587	13	8	the	the	DET
ejpam-6587	13	9	dutch	dutch	PROPN
ejpam-6587	13	10	mathematicians	mathematician	NOUN
ejpam-6587	13	11	diederik	diederik	VERB
ejpam-6587	13	12	korteweg	korteweg	NOUN
ejpam-6587	13	13	and	and	CCONJ
ejpam-6587	13	14	gustav	gustav	PROPN
ejpam-6587	13	15	de	de	PROPN
ejpam-6587	13	16	vries	vries	PROPN
ejpam-6587	13	17	,	,	PUNCT
ejpam-6587	13	18	who	who	PRON
ejpam-6587	13	19	first	first	ADV
ejpam-6587	13	20	∗corresponding	∗corresponde	VERB
ejpam-6587	13	21	author	author	NOUN
ejpam-6587	13	22	.	.	PUNCT
ejpam-6587	14	1	doi	doi	NOUN
ejpam-6587	14	2	:	:	PUNCT
ejpam-6587	14	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6587	https://doi.org/10.29020/nybg.ejpam.v18i4.6587	ADJ
ejpam-6587	14	4	email	email	NOUN
ejpam-6587	14	5	address	address	NOUN
ejpam-6587	14	6	:	:	PUNCT
ejpam-6587	14	7	w.mohammed@uoh.edu.sa	w.mohammed@uoh.edu.sa	PROPN
ejpam-6587	14	8	(	(	PUNCT
ejpam-6587	14	9	w.	w.	PROPN
ejpam-6587	14	10	w.	w.	PROPN
ejpam-6587	14	11	mohammed	mohammed	PROPN
ejpam-6587	14	12	)	)	PUNCT
ejpam-6587	14	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6587	15	1	1	1	NUM
ejpam-6587	15	2	copyright	copyright	NOUN
ejpam-6587	15	3	:	:	PUNCT
ejpam-6587	15	4	©	©	PROPN
ejpam-6587	15	5	2025	2025	NUM
ejpam-6587	15	6	the	the	DET
ejpam-6587	15	7	author(s	author(s	NOUN
ejpam-6587	15	8	)	)	PUNCT
ejpam-6587	15	9	.	.	PUNCT
ejpam-6587	16	1	(	(	PUNCT
ejpam-6587	16	2	cc	cc	NOUN
ejpam-6587	16	3	by	by	ADP
ejpam-6587	16	4	-	-	PUNCT
ejpam-6587	16	5	nc	nc	PROPN
ejpam-6587	16	6	4.0	4.0	NUM
ejpam-6587	16	7	)	)	PUNCT
ejpam-6587	16	8	a.	a.	NOUN
ejpam-6587	16	9	alshuhail	alshuhail	NOUN
ejpam-6587	16	10	et	et	PROPN
ejpam-6587	16	11	al	al	PROPN
ejpam-6587	16	12	.	.	PUNCT
ejpam-6587	16	13	/	/	SYM
ejpam-6587	16	14	eur	eur	PROPN
ejpam-6587	16	15	.	.	PUNCT
ejpam-6587	17	1	j.	j.	PROPN
ejpam-6587	17	2	pure	pure	PROPN
ejpam-6587	17	3	appl	appl	PROPN
ejpam-6587	17	4	.	.	PROPN
ejpam-6587	17	5	math	math	PROPN
ejpam-6587	17	6	,	,	PUNCT
ejpam-6587	17	7	18	18	NUM
ejpam-6587	17	8	(	(	PUNCT
ejpam-6587	17	9	4	4	NUM
ejpam-6587	17	10	)	)	PUNCT
ejpam-6587	17	11	(	(	PUNCT
ejpam-6587	17	12	2025	2025	NUM
ejpam-6587	17	13	)	)	PUNCT
ejpam-6587	17	14	,	,	PUNCT
ejpam-6587	17	15	6587	6587	NUM
ejpam-6587	17	16	2	2	NUM
ejpam-6587	17	17	of	of	ADP
ejpam-6587	17	18	16	16	NUM
ejpam-6587	17	19	introduced	introduce	VERB
ejpam-6587	17	20	it	it	PRON
ejpam-6587	17	21	in	in	ADP
ejpam-6587	17	22	1895	1895	NUM
ejpam-6587	17	23	[	[	X
ejpam-6587	17	24	1	1	NUM
ejpam-6587	17	25	]	]	PUNCT
ejpam-6587	17	26	.	.	PUNCT
ejpam-6587	18	1	over	over	ADP
ejpam-6587	18	2	the	the	DET
ejpam-6587	18	3	years	year	NOUN
ejpam-6587	18	4	,	,	PUNCT
ejpam-6587	18	5	the	the	DET
ejpam-6587	18	6	kdv	kdv	NOUN
ejpam-6587	18	7	equation	equation	NOUN
ejpam-6587	18	8	has	have	AUX
ejpam-6587	18	9	gained	gain	VERB
ejpam-6587	18	10	plenty	plenty	NOUN
ejpam-6587	18	11	of	of	ADP
ejpam-6587	18	12	attention	attention	NOUN
ejpam-6587	18	13	for	for	ADP
ejpam-6587	18	14	its	its	PRON
ejpam-6587	18	15	ability	ability	NOUN
ejpam-6587	18	16	to	to	PART
ejpam-6587	18	17	represent	represent	VERB
ejpam-6587	18	18	complicated	complicated	ADJ
ejpam-6587	18	19	wave	wave	NOUN
ejpam-6587	18	20	dynamics	dynamic	NOUN
ejpam-6587	18	21	and	and	CCONJ
ejpam-6587	18	22	its	its	PRON
ejpam-6587	18	23	relevance	relevance	NOUN
ejpam-6587	18	24	in	in	ADP
ejpam-6587	18	25	understanding	understand	VERB
ejpam-6587	18	26	various	various	ADJ
ejpam-6587	18	27	natural	natural	ADJ
ejpam-6587	18	28	phenomena	phenomenon	NOUN
ejpam-6587	18	29	.	.	PUNCT
ejpam-6587	19	1	it	it	PRON
ejpam-6587	19	2	has	have	AUX
ejpam-6587	19	3	been	be	AUX
ejpam-6587	19	4	widely	widely	ADV
ejpam-6587	19	5	utilized	utilize	VERB
ejpam-6587	19	6	in	in	ADP
ejpam-6587	19	7	different	different	ADJ
ejpam-6587	19	8	areas	area	NOUN
ejpam-6587	19	9	,	,	PUNCT
ejpam-6587	19	10	such	such	ADJ
ejpam-6587	19	11	as	as	ADP
ejpam-6587	19	12	nonlinear	nonlinear	ADJ
ejpam-6587	19	13	optics	optic	NOUN
ejpam-6587	19	14	,	,	PUNCT
ejpam-6587	19	15	plasma	plasma	NOUN
ejpam-6587	19	16	physics	physics	NOUN
ejpam-6587	19	17	,	,	PUNCT
ejpam-6587	19	18	and	and	CCONJ
ejpam-6587	19	19	fluid	fluid	ADJ
ejpam-6587	19	20	dynamics	dynamic	NOUN
ejpam-6587	19	21	[	[	X
ejpam-6587	19	22	2	2	NUM
ejpam-6587	19	23	]	]	PUNCT
ejpam-6587	19	24	.	.	PUNCT
ejpam-6587	20	1	on	on	ADP
ejpam-6587	20	2	the	the	DET
ejpam-6587	20	3	other	other	ADJ
ejpam-6587	20	4	side	side	NOUN
ejpam-6587	20	5	,	,	PUNCT
ejpam-6587	20	6	it	it	PRON
ejpam-6587	20	7	is	be	AUX
ejpam-6587	20	8	crucial	crucial	ADJ
ejpam-6587	20	9	to	to	PART
ejpam-6587	20	10	consider	consider	VERB
ejpam-6587	20	11	the	the	DET
ejpam-6587	20	12	effect	effect	NOUN
ejpam-6587	20	13	of	of	ADP
ejpam-6587	20	14	random	random	ADJ
ejpam-6587	20	15	fluctuations	fluctuation	NOUN
ejpam-6587	20	16	in	in	ADP
ejpam-6587	20	17	the	the	DET
ejpam-6587	20	18	kdv	kdv	NOUN
ejpam-6587	20	19	equation	equation	NOUN
ejpam-6587	20	20	in	in	ADP
ejpam-6587	20	21	order	order	NOUN
ejpam-6587	20	22	to	to	PART
ejpam-6587	20	23	accurately	accurately	ADV
ejpam-6587	20	24	describe	describe	VERB
ejpam-6587	20	25	and	and	CCONJ
ejpam-6587	20	26	predict	predict	VERB
ejpam-6587	20	27	the	the	DET
ejpam-6587	20	28	behavior	behavior	NOUN
ejpam-6587	20	29	of	of	ADP
ejpam-6587	20	30	waves	wave	NOUN
ejpam-6587	20	31	.	.	PUNCT
ejpam-6587	21	1	by	by	ADP
ejpam-6587	21	2	considering	consider	VERB
ejpam-6587	21	3	random	random	ADJ
ejpam-6587	21	4	fluctuations	fluctuation	NOUN
ejpam-6587	21	5	,	,	PUNCT
ejpam-6587	21	6	the	the	DET
ejpam-6587	21	7	kdv	kdv	NOUN
ejpam-6587	21	8	equation	equation	NOUN
ejpam-6587	21	9	can	can	AUX
ejpam-6587	21	10	better	well	ADV
ejpam-6587	21	11	capture	capture	VERB
ejpam-6587	21	12	the	the	DET
ejpam-6587	21	13	complex	complex	ADJ
ejpam-6587	21	14	interactions	interaction	NOUN
ejpam-6587	21	15	and	and	CCONJ
ejpam-6587	21	16	variations	variation	NOUN
ejpam-6587	21	17	in	in	ADP
ejpam-6587	21	18	wave	wave	NOUN
ejpam-6587	21	19	dynamics	dynamic	NOUN
ejpam-6587	21	20	,	,	PUNCT
ejpam-6587	21	21	leading	lead	VERB
ejpam-6587	21	22	to	to	ADP
ejpam-6587	21	23	more	more	ADV
ejpam-6587	21	24	accurate	accurate	ADJ
ejpam-6587	21	25	predictions	prediction	NOUN
ejpam-6587	21	26	and	and	CCONJ
ejpam-6587	21	27	simulations	simulation	NOUN
ejpam-6587	21	28	.	.	PUNCT
ejpam-6587	22	1	waves	wave	NOUN
ejpam-6587	22	2	in	in	ADP
ejpam-6587	22	3	nature	nature	NOUN
ejpam-6587	22	4	rarely	rarely	ADV
ejpam-6587	22	5	propagate	propagate	VERB
ejpam-6587	22	6	in	in	ADP
ejpam-6587	22	7	isolation	isolation	NOUN
ejpam-6587	22	8	,	,	PUNCT
ejpam-6587	22	9	but	but	CCONJ
ejpam-6587	22	10	rather	rather	ADV
ejpam-6587	22	11	interact	interact	VERB
ejpam-6587	22	12	with	with	ADP
ejpam-6587	22	13	other	other	ADJ
ejpam-6587	22	14	waves	wave	NOUN
ejpam-6587	22	15	,	,	PUNCT
ejpam-6587	22	16	obstacles	obstacle	NOUN
ejpam-6587	22	17	,	,	PUNCT
ejpam-6587	22	18	and	and	CCONJ
ejpam-6587	22	19	boundaries	boundary	NOUN
ejpam-6587	22	20	.	.	PUNCT
ejpam-6587	23	1	these	these	DET
ejpam-6587	23	2	interactions	interaction	NOUN
ejpam-6587	23	3	can	can	AUX
ejpam-6587	23	4	lead	lead	VERB
ejpam-6587	23	5	to	to	ADP
ejpam-6587	23	6	wave	wave	NOUN
ejpam-6587	23	7	-	-	PUNCT
ejpam-6587	23	8	breaking	break	VERB
ejpam-6587	23	9	,	,	PUNCT
ejpam-6587	23	10	formation	formation	NOUN
ejpam-6587	23	11	of	of	ADP
ejpam-6587	23	12	solitons	soliton	NOUN
ejpam-6587	23	13	or	or	CCONJ
ejpam-6587	23	14	rogue	rogue	NOUN
ejpam-6587	23	15	waves	wave	NOUN
ejpam-6587	23	16	,	,	PUNCT
ejpam-6587	23	17	and	and	CCONJ
ejpam-6587	23	18	the	the	DET
ejpam-6587	23	19	creation	creation	NOUN
ejpam-6587	23	20	of	of	ADP
ejpam-6587	23	21	complex	complex	ADJ
ejpam-6587	23	22	interference	interference	NOUN
ejpam-6587	23	23	patterns	pattern	NOUN
ejpam-6587	23	24	.	.	PUNCT
ejpam-6587	24	1	random	random	ADJ
ejpam-6587	24	2	fluctuations	fluctuation	NOUN
ejpam-6587	24	3	in	in	ADP
ejpam-6587	24	4	the	the	DET
ejpam-6587	24	5	kdv	kdv	NOUN
ejpam-6587	24	6	equation	equation	NOUN
ejpam-6587	24	7	enable	enable	VERB
ejpam-6587	24	8	the	the	DET
ejpam-6587	24	9	modeling	modeling	NOUN
ejpam-6587	24	10	of	of	ADP
ejpam-6587	24	11	such	such	ADJ
ejpam-6587	24	12	interactions	interaction	NOUN
ejpam-6587	24	13	and	and	CCONJ
ejpam-6587	24	14	phenomena	phenomenon	NOUN
ejpam-6587	24	15	,	,	PUNCT
ejpam-6587	24	16	offering	offer	VERB
ejpam-6587	24	17	insights	insight	NOUN
ejpam-6587	24	18	into	into	ADP
ejpam-6587	24	19	the	the	DET
ejpam-6587	24	20	behavior	behavior	NOUN
ejpam-6587	24	21	and	and	CCONJ
ejpam-6587	24	22	characteristics	characteristic	NOUN
ejpam-6587	24	23	of	of	ADP
ejpam-6587	24	24	waves	wave	NOUN
ejpam-6587	24	25	in	in	ADP
ejpam-6587	24	26	different	different	ADJ
ejpam-6587	24	27	situations	situation	NOUN
ejpam-6587	24	28	.	.	PUNCT
ejpam-6587	25	1	this	this	DET
ejpam-6587	25	2	understanding	understanding	NOUN
ejpam-6587	25	3	is	be	AUX
ejpam-6587	25	4	crucial	crucial	ADJ
ejpam-6587	25	5	in	in	ADP
ejpam-6587	25	6	various	various	ADJ
ejpam-6587	25	7	fields	field	NOUN
ejpam-6587	25	8	,	,	PUNCT
ejpam-6587	25	9	including	include	VERB
ejpam-6587	25	10	marine	marine	ADJ
ejpam-6587	25	11	engineering	engineering	NOUN
ejpam-6587	25	12	,	,	PUNCT
ejpam-6587	25	13	coastal	coastal	ADJ
ejpam-6587	25	14	management	management	NOUN
ejpam-6587	25	15	,	,	PUNCT
ejpam-6587	25	16	and	and	CCONJ
ejpam-6587	25	17	the	the	DET
ejpam-6587	25	18	study	study	NOUN
ejpam-6587	25	19	of	of	ADP
ejpam-6587	25	20	natural	natural	ADJ
ejpam-6587	25	21	disasters	disaster	NOUN
ejpam-6587	25	22	such	such	ADJ
ejpam-6587	25	23	as	as	ADP
ejpam-6587	25	24	tsunamis	tsunamis	NOUN
ejpam-6587	25	25	.	.	PUNCT
ejpam-6587	26	1	here	here	ADV
ejpam-6587	26	2	,	,	PUNCT
ejpam-6587	26	3	we	we	PRON
ejpam-6587	26	4	consider	consider	VERB
ejpam-6587	26	5	the	the	DET
ejpam-6587	26	6	following	follow	VERB
ejpam-6587	26	7	stochastic	stochastic	ADJ
ejpam-6587	26	8	kdv	kdv	NOUN
ejpam-6587	26	9	equation	equation	NOUN
ejpam-6587	26	10	perturbed	perturb	VERB
ejpam-6587	26	11	by	by	ADP
ejpam-6587	26	12	multiplicative	multiplicative	ADJ
ejpam-6587	26	13	noise	noise	NOUN
ejpam-6587	26	14	as	as	SCONJ
ejpam-6587	26	15	follows	follow	VERB
ejpam-6587	26	16	:	:	PUNCT
ejpam-6587	26	17	pt	pt	PROPN
ejpam-6587	26	18	+	+	CCONJ
ejpam-6587	26	19	appx	appx	ADJ
ejpam-6587	26	20	+	+	CCONJ
ejpam-6587	26	21	bpxxx	bpxxx	ADV
ejpam-6587	26	22	=	=	SYM
ejpam-6587	26	23	σpbt	σpbt	ADJ
ejpam-6587	26	24	,	,	PUNCT
ejpam-6587	26	25	(	(	PUNCT
ejpam-6587	26	26	1	1	X
ejpam-6587	26	27	)	)	PUNCT
ejpam-6587	26	28	where	where	SCONJ
ejpam-6587	26	29	p(x	p(x	PROPN
ejpam-6587	26	30	,	,	PUNCT
ejpam-6587	26	31	t	t	PROPN
ejpam-6587	26	32	)	)	PUNCT
ejpam-6587	26	33	the	the	DET
ejpam-6587	26	34	profile	profile	NOUN
ejpam-6587	26	35	of	of	ADP
ejpam-6587	26	36	waves	wave	NOUN
ejpam-6587	26	37	at	at	ADP
ejpam-6587	26	38	position	position	NOUN
ejpam-6587	26	39	x	x	PUNCT
ejpam-6587	26	40	and	and	CCONJ
ejpam-6587	26	41	time	time	NOUN
ejpam-6587	26	42	t	t	PROPN
ejpam-6587	26	43	,	,	PUNCT
ejpam-6587	26	44	appx	appx	PROPN
ejpam-6587	26	45	represents	represent	VERB
ejpam-6587	26	46	the	the	DET
ejpam-6587	26	47	advection	advection	NOUN
ejpam-6587	26	48	of	of	ADP
ejpam-6587	26	49	the	the	DET
ejpam-6587	26	50	wave	wave	NOUN
ejpam-6587	26	51	with	with	ADP
ejpam-6587	26	52	a	a	DET
ejpam-6587	26	53	velocity	velocity	NOUN
ejpam-6587	26	54	of	of	ADP
ejpam-6587	26	55	ap	ap	PROPN
ejpam-6587	26	56	,	,	PUNCT
ejpam-6587	26	57	and	and	CCONJ
ejpam-6587	26	58	bpxxx	bpxxx	ADV
ejpam-6587	26	59	represents	represent	VERB
ejpam-6587	26	60	the	the	DET
ejpam-6587	26	61	dispersion	dispersion	NOUN
ejpam-6587	26	62	of	of	ADP
ejpam-6587	26	63	the	the	DET
ejpam-6587	26	64	wave	wave	NOUN
ejpam-6587	26	65	;	;	PUNCT
ejpam-6587	26	66	σ	σ	PROPN
ejpam-6587	26	67	is	be	AUX
ejpam-6587	26	68	the	the	DET
ejpam-6587	26	69	amplitude	amplitude	NOUN
ejpam-6587	26	70	of	of	ADP
ejpam-6587	26	71	noise	noise	NOUN
ejpam-6587	26	72	,	,	PUNCT
ejpam-6587	26	73	and	and	CCONJ
ejpam-6587	26	74	b(t	b(t	NOUN
ejpam-6587	26	75	)	)	PUNCT
ejpam-6587	26	76	is	be	AUX
ejpam-6587	26	77	the	the	DET
ejpam-6587	26	78	brownian	brownian	ADJ
ejpam-6587	26	79	motion	motion	NOUN
ejpam-6587	26	80	,	,	PUNCT
ejpam-6587	26	81	bt	bt	NOUN
ejpam-6587	26	82	=	=	PROPN
ejpam-6587	26	83	∂b	∂b	PROPN
ejpam-6587	26	84	∂t	∂t	PROPN
ejpam-6587	26	85	.	.	PUNCT
ejpam-6587	27	1	one	one	NUM
ejpam-6587	27	2	of	of	ADP
ejpam-6587	27	3	the	the	DET
ejpam-6587	27	4	most	most	ADV
ejpam-6587	27	5	distinctive	distinctive	ADJ
ejpam-6587	27	6	properties	property	NOUN
ejpam-6587	27	7	of	of	ADP
ejpam-6587	27	8	the	the	DET
ejpam-6587	27	9	kdv	kdv	NOUN
ejpam-6587	27	10	equation	equation	NOUN
ejpam-6587	27	11	is	be	AUX
ejpam-6587	27	12	its	its	PRON
ejpam-6587	27	13	soliton	soliton	NOUN
ejpam-6587	27	14	solutions	solution	NOUN
ejpam-6587	27	15	.	.	PUNCT
ejpam-6587	28	1	solitons	soliton	NOUN
ejpam-6587	28	2	are	be	AUX
ejpam-6587	28	3	solitary	solitary	ADJ
ejpam-6587	28	4	waves	wave	NOUN
ejpam-6587	28	5	that	that	PRON
ejpam-6587	28	6	retain	retain	VERB
ejpam-6587	28	7	their	their	PRON
ejpam-6587	28	8	speed	speed	NOUN
ejpam-6587	28	9	and	and	CCONJ
ejpam-6587	28	10	shape	shape	NOUN
ejpam-6587	28	11	as	as	SCONJ
ejpam-6587	28	12	they	they	PRON
ejpam-6587	28	13	propagate	propagate	VERB
ejpam-6587	28	14	without	without	ADP
ejpam-6587	28	15	dispersion	dispersion	NOUN
ejpam-6587	28	16	or	or	CCONJ
ejpam-6587	28	17	attenuation	attenuation	NOUN
ejpam-6587	28	18	.	.	PUNCT
ejpam-6587	29	1	the	the	DET
ejpam-6587	29	2	kdv	kdv	NOUN
ejpam-6587	29	3	equation	equation	NOUN
ejpam-6587	29	4	generates	generate	VERB
ejpam-6587	29	5	a	a	DET
ejpam-6587	29	6	class	class	NOUN
ejpam-6587	29	7	of	of	ADP
ejpam-6587	29	8	solitons	soliton	NOUN
ejpam-6587	29	9	known	know	VERB
ejpam-6587	29	10	as	as	ADP
ejpam-6587	29	11	kdv	kdv	NOUN
ejpam-6587	29	12	solitons	soliton	NOUN
ejpam-6587	29	13	.	.	PUNCT
ejpam-6587	30	1	these	these	DET
ejpam-6587	30	2	solitons	soliton	NOUN
ejpam-6587	30	3	have	have	VERB
ejpam-6587	30	4	a	a	DET
ejpam-6587	30	5	bell	bell	NOUN
ejpam-6587	30	6	-	-	PUNCT
ejpam-6587	30	7	shaped	shape	VERB
ejpam-6587	30	8	profile	profile	NOUN
ejpam-6587	30	9	and	and	CCONJ
ejpam-6587	30	10	show	show	VERB
ejpam-6587	30	11	intriguing	intriguing	ADJ
ejpam-6587	30	12	features	feature	NOUN
ejpam-6587	30	13	such	such	ADJ
ejpam-6587	30	14	as	as	ADP
ejpam-6587	30	15	stability	stability	NOUN
ejpam-6587	30	16	,	,	PUNCT
ejpam-6587	30	17	particle	particle	NOUN
ejpam-6587	30	18	-	-	PUNCT
ejpam-6587	30	19	like	like	ADJ
ejpam-6587	30	20	behavior	behavior	NOUN
ejpam-6587	30	21	,	,	PUNCT
ejpam-6587	30	22	and	and	CCONJ
ejpam-6587	30	23	non	non	ADJ
ejpam-6587	30	24	-	-	ADJ
ejpam-6587	30	25	interacting	interacting	ADJ
ejpam-6587	30	26	properties	property	NOUN
ejpam-6587	30	27	.	.	PUNCT
ejpam-6587	31	1	they	they	PRON
ejpam-6587	31	2	arise	arise	VERB
ejpam-6587	31	3	due	due	ADP
ejpam-6587	31	4	to	to	ADP
ejpam-6587	31	5	the	the	DET
ejpam-6587	31	6	delicate	delicate	ADJ
ejpam-6587	31	7	balance	balance	NOUN
ejpam-6587	31	8	between	between	ADP
ejpam-6587	31	9	the	the	DET
ejpam-6587	31	10	wave	wave	NOUN
ejpam-6587	31	11	advection	advection	NOUN
ejpam-6587	31	12	and	and	CCONJ
ejpam-6587	31	13	dispersion	dispersion	NOUN
ejpam-6587	31	14	terms	term	NOUN
ejpam-6587	31	15	within	within	ADP
ejpam-6587	31	16	the	the	DET
ejpam-6587	31	17	equation	equation	NOUN
ejpam-6587	31	18	.	.	PUNCT
ejpam-6587	32	1	therefore	therefore	ADV
ejpam-6587	32	2	,	,	PUNCT
ejpam-6587	32	3	many	many	ADJ
ejpam-6587	32	4	authors	author	NOUN
ejpam-6587	32	5	,	,	PUNCT
ejpam-6587	32	6	for	for	ADP
ejpam-6587	32	7	example	example	NOUN
ejpam-6587	33	1	[	[	X
ejpam-6587	33	2	3–10	3–10	NOUN
ejpam-6587	33	3	]	]	PUNCT
ejpam-6587	33	4	,	,	PUNCT
ejpam-6587	33	5	have	have	AUX
ejpam-6587	33	6	extensively	extensively	ADV
ejpam-6587	33	7	studied	study	VERB
ejpam-6587	33	8	multiple	multiple	ADJ
ejpam-6587	33	9	versions	version	NOUN
ejpam-6587	33	10	of	of	ADP
ejpam-6587	33	11	the	the	DET
ejpam-6587	33	12	kdv	kdv	NOUN
ejpam-6587	33	13	equation	equation	NOUN
ejpam-6587	33	14	utilizing	utilize	VERB
ejpam-6587	33	15	diverse	diverse	ADJ
ejpam-6587	33	16	methodology	methodology	NOUN
ejpam-6587	33	17	and	and	CCONJ
ejpam-6587	33	18	methods	method	NOUN
ejpam-6587	33	19	from	from	ADP
ejpam-6587	33	20	distinct	distinct	ADJ
ejpam-6587	33	21	viewpoints	viewpoint	NOUN
ejpam-6587	33	22	,	,	PUNCT
ejpam-6587	33	23	whereas	whereas	SCONJ
ejpam-6587	33	24	the	the	DET
ejpam-6587	33	25	analytical	analytical	ADJ
ejpam-6587	33	26	solutions	solution	NOUN
ejpam-6587	33	27	of	of	ADP
ejpam-6587	33	28	skdv	skdv	NOUN
ejpam-6587	33	29	eq	eq	ADP
ejpam-6587	33	30	.	.	PUNCT
ejpam-6587	34	1	(	(	PUNCT
ejpam-6587	34	2	1	1	X
ejpam-6587	34	3	)	)	PUNCT
ejpam-6587	34	4	is	be	AUX
ejpam-6587	34	5	acquired	acquire	VERB
ejpam-6587	34	6	by	by	ADP
ejpam-6587	34	7	mohammed	mohammed	PROPN
ejpam-6587	34	8	et	et	PROPN
ejpam-6587	34	9	al	al	PROPN
ejpam-6587	34	10	.	.	PUNCT
ejpam-6587	35	1	[	[	X
ejpam-6587	35	2	11	11	NUM
ejpam-6587	35	3	]	]	PUNCT
ejpam-6587	35	4	.	.	PUNCT
ejpam-6587	36	1	furthermore	furthermore	ADV
ejpam-6587	36	2	,	,	PUNCT
ejpam-6587	36	3	there	there	PRON
ejpam-6587	36	4	are	be	VERB
ejpam-6587	36	5	other	other	ADJ
ejpam-6587	36	6	authors	author	NOUN
ejpam-6587	36	7	,	,	PUNCT
ejpam-6587	36	8	such	such	ADJ
ejpam-6587	36	9	as	as	ADP
ejpam-6587	36	10	[	[	X
ejpam-6587	36	11	12–18	12–18	NUM
ejpam-6587	36	12	]	]	PUNCT
ejpam-6587	36	13	,	,	PUNCT
ejpam-6587	36	14	have	have	AUX
ejpam-6587	36	15	obtained	obtain	VERB
ejpam-6587	36	16	the	the	DET
ejpam-6587	36	17	solutions	solution	NOUN
ejpam-6587	36	18	of	of	ADP
ejpam-6587	36	19	eq	eq	PROPN
ejpam-6587	36	20	.	.	PUNCT
ejpam-6587	37	1	(	(	PUNCT
ejpam-6587	37	2	1	1	X
ejpam-6587	37	3	)	)	PUNCT
ejpam-6587	37	4	in	in	ADP
ejpam-6587	37	5	deterministic	deterministic	ADJ
ejpam-6587	37	6	case	case	NOUN
ejpam-6587	37	7	.	.	PUNCT
ejpam-6587	38	1	our	our	PRON
ejpam-6587	38	2	aim	aim	NOUN
ejpam-6587	38	3	of	of	ADP
ejpam-6587	38	4	this	this	DET
ejpam-6587	38	5	study	study	NOUN
ejpam-6587	38	6	is	be	AUX
ejpam-6587	38	7	to	to	PART
ejpam-6587	38	8	obtain	obtain	VERB
ejpam-6587	38	9	the	the	DET
ejpam-6587	38	10	analytical	analytical	ADJ
ejpam-6587	38	11	stochastic	stochastic	ADJ
ejpam-6587	38	12	solutions	solution	NOUN
ejpam-6587	38	13	of	of	ADP
ejpam-6587	38	14	the	the	DET
ejpam-6587	38	15	skdv	skdv	NOUN
ejpam-6587	38	16	eq	eq	ADP
ejpam-6587	38	17	.	.	PUNCT
ejpam-6587	39	1	(	(	PUNCT
ejpam-6587	39	2	1	1	NUM
ejpam-6587	39	3	)	)	PUNCT
ejpam-6587	39	4	.	.	PUNCT
ejpam-6587	40	1	this	this	PRON
ejpam-6587	40	2	is	be	AUX
ejpam-6587	40	3	accomplished	accomplish	VERB
ejpam-6587	40	4	by	by	ADP
ejpam-6587	40	5	transforming	transform	VERB
ejpam-6587	40	6	the	the	DET
ejpam-6587	40	7	skdv	skdv	ADJ
ejpam-6587	40	8	equation	equation	NOUN
ejpam-6587	40	9	into	into	ADP
ejpam-6587	40	10	a	a	DET
ejpam-6587	40	11	different	different	ADJ
ejpam-6587	40	12	kdv	kdv	NOUN
ejpam-6587	40	13	equation	equation	NOUN
ejpam-6587	40	14	with	with	ADP
ejpam-6587	40	15	random	random	ADJ
ejpam-6587	40	16	variable	variable	ADJ
ejpam-6587	40	17	coefficients	coefficient	NOUN
ejpam-6587	40	18	(	(	PUNCT
ejpam-6587	40	19	kdve	kdve	VERB
ejpam-6587	40	20	-	-	PUNCT
ejpam-6587	40	21	rvcs	rvcs	ADJ
ejpam-6587	40	22	)	)	PUNCT
ejpam-6587	40	23	by	by	ADP
ejpam-6587	40	24	using	use	VERB
ejpam-6587	40	25	the	the	DET
ejpam-6587	40	26	appropriate	appropriate	ADJ
ejpam-6587	40	27	transformation	transformation	NOUN
ejpam-6587	40	28	.	.	PUNCT
ejpam-6587	41	1	moreover	moreover	ADV
ejpam-6587	41	2	,	,	PUNCT
ejpam-6587	41	3	the	the	DET
ejpam-6587	41	4	generalized	generalized	ADJ
ejpam-6587	41	5	riccati	riccati	NOUN
ejpam-6587	41	6	equation	equation	NOUN
ejpam-6587	41	7	mapping	mapping	NOUN
ejpam-6587	41	8	method	method	NOUN
ejpam-6587	41	9	(	(	PUNCT
ejpam-6587	41	10	grem	grem	NOUN
ejpam-6587	41	11	-	-	NOUN
ejpam-6587	41	12	method	method	NOUN
ejpam-6587	41	13	)	)	PUNCT
ejpam-6587	41	14	and	and	CCONJ
ejpam-6587	41	15	the	the	DET
ejpam-6587	41	16	jacobi	jacobi	PROPN
ejpam-6587	41	17	elliptic	elliptic	PROPN
ejpam-6587	41	18	method	method	NOUN
ejpam-6587	41	19	(	(	PUNCT
ejpam-6587	41	20	jef	jef	NOUN
ejpam-6587	41	21	-	-	PUNCT
ejpam-6587	41	22	method	method	NOUN
ejpam-6587	41	23	)	)	PUNCT
ejpam-6587	41	24	are	be	AUX
ejpam-6587	41	25	used	use	VERB
ejpam-6587	41	26	to	to	PART
ejpam-6587	41	27	derive	derive	VERB
ejpam-6587	41	28	exact	exact	ADJ
ejpam-6587	41	29	solutions	solution	NOUN
ejpam-6587	41	30	for	for	ADP
ejpam-6587	41	31	kdvervcs	kdvervcs	NOUN
ejpam-6587	41	32	.	.	PUNCT
ejpam-6587	42	1	finally	finally	ADV
ejpam-6587	42	2	,	,	PUNCT
ejpam-6587	42	3	utilizing	utilize	VERB
ejpam-6587	42	4	the	the	DET
ejpam-6587	42	5	employed	employ	VERB
ejpam-6587	42	6	transformation	transformation	NOUN
ejpam-6587	42	7	,	,	PUNCT
ejpam-6587	42	8	we	we	PRON
ejpam-6587	42	9	may	may	AUX
ejpam-6587	42	10	obtain	obtain	VERB
ejpam-6587	42	11	the	the	DET
ejpam-6587	42	12	stochastic	stochastic	ADJ
ejpam-6587	42	13	solutions	solution	NOUN
ejpam-6587	42	14	for	for	ADP
ejpam-6587	42	15	the	the	DET
ejpam-6587	42	16	skdv	skdv	NOUN
ejpam-6587	42	17	equation	equation	NOUN
ejpam-6587	42	18	.	.	PUNCT
ejpam-6587	43	1	since	since	SCONJ
ejpam-6587	43	2	all	all	DET
ejpam-6587	43	3	prior	prior	ADJ
ejpam-6587	43	4	studies	study	NOUN
ejpam-6587	43	5	supposed	suppose	VERB
ejpam-6587	43	6	that	that	SCONJ
ejpam-6587	43	7	the	the	DET
ejpam-6587	43	8	solutions	solution	NOUN
ejpam-6587	43	9	of	of	ADP
ejpam-6587	43	10	wave	wave	NOUN
ejpam-6587	43	11	equation	equation	NOUN
ejpam-6587	43	12	of	of	ADP
ejpam-6587	43	13	the	the	DET
ejpam-6587	43	14	skdv	skdv	NOUN
ejpam-6587	43	15	equation	equation	NOUN
ejpam-6587	43	16	was	be	AUX
ejpam-6587	43	17	deterministic	deterministic	ADJ
ejpam-6587	43	18	,	,	PUNCT
ejpam-6587	43	19	the	the	DET
ejpam-6587	43	20	novelty	novelty	NOUN
ejpam-6587	43	21	of	of	ADP
ejpam-6587	43	22	this	this	DET
ejpam-6587	43	23	work	work	NOUN
ejpam-6587	43	24	is	be	AUX
ejpam-6587	43	25	that	that	SCONJ
ejpam-6587	43	26	we	we	PRON
ejpam-6587	43	27	assumed	assume	VERB
ejpam-6587	43	28	it	it	PRON
ejpam-6587	43	29	to	to	PART
ejpam-6587	43	30	be	be	AUX
ejpam-6587	43	31	stochastic	stochastic	ADJ
ejpam-6587	43	32	.	.	PUNCT
ejpam-6587	44	1	the	the	DET
ejpam-6587	44	2	achieved	achieve	VERB
ejpam-6587	44	3	solutions	solution	NOUN
ejpam-6587	44	4	are	be	AUX
ejpam-6587	44	5	vital	vital	ADJ
ejpam-6587	44	6	in	in	ADP
ejpam-6587	44	7	comprehending	comprehend	VERB
ejpam-6587	44	8	different	different	ADJ
ejpam-6587	44	9	complex	complex	ADJ
ejpam-6587	44	10	physical	physical	ADJ
ejpam-6587	44	11	phenomena	phenomenon	NOUN
ejpam-6587	44	12	due	due	ADP
ejpam-6587	44	13	to	to	ADP
ejpam-6587	44	14	the	the	DET
ejpam-6587	44	15	relevance	relevance	NOUN
ejpam-6587	44	16	of	of	ADP
ejpam-6587	44	17	the	the	DET
ejpam-6587	44	18	kdv	kdv	NOUN
ejpam-6587	44	19	equation	equation	NOUN
ejpam-6587	44	20	(	(	PUNCT
ejpam-6587	44	21	1	1	X
ejpam-6587	44	22	)	)	PUNCT
ejpam-6587	44	23	in	in	ADP
ejpam-6587	44	24	plasma	plasma	NOUN
ejpam-6587	44	25	a.	a.	NOUN
ejpam-6587	44	26	alshuhail	alshuhail	NOUN
ejpam-6587	44	27	et	et	PROPN
ejpam-6587	44	28	al	al	PROPN
ejpam-6587	44	29	.	.	PUNCT
ejpam-6587	44	30	/	/	SYM
ejpam-6587	44	31	eur	eur	PROPN
ejpam-6587	44	32	.	.	PUNCT
ejpam-6587	45	1	j.	j.	PROPN
ejpam-6587	45	2	pure	pure	PROPN
ejpam-6587	45	3	appl	appl	PROPN
ejpam-6587	45	4	.	.	PROPN
ejpam-6587	45	5	math	math	PROPN
ejpam-6587	45	6	,	,	PUNCT
ejpam-6587	45	7	18	18	NUM
ejpam-6587	45	8	(	(	PUNCT
ejpam-6587	45	9	4	4	NUM
ejpam-6587	45	10	)	)	PUNCT
ejpam-6587	45	11	(	(	PUNCT
ejpam-6587	45	12	2025	2025	NUM
ejpam-6587	45	13	)	)	PUNCT
ejpam-6587	45	14	,	,	PUNCT
ejpam-6587	45	15	6587	6587	NUM
ejpam-6587	45	16	3	3	NUM
ejpam-6587	45	17	of	of	ADP
ejpam-6587	45	18	16	16	NUM
ejpam-6587	45	19	physics	physic	NOUN
ejpam-6587	45	20	,	,	PUNCT
ejpam-6587	45	21	nonlinear	nonlinear	ADJ
ejpam-6587	45	22	optics	optic	NOUN
ejpam-6587	45	23	,	,	PUNCT
ejpam-6587	45	24	and	and	CCONJ
ejpam-6587	45	25	fluid	fluid	ADJ
ejpam-6587	45	26	dynamics	dynamic	NOUN
ejpam-6587	45	27	.	.	PUNCT
ejpam-6587	46	1	also	also	ADV
ejpam-6587	46	2	,	,	PUNCT
ejpam-6587	46	3	we	we	PRON
ejpam-6587	46	4	extend	extend	VERB
ejpam-6587	46	5	some	some	PRON
ejpam-6587	46	6	of	of	ADP
ejpam-6587	46	7	the	the	DET
ejpam-6587	46	8	previous	previous	ADJ
ejpam-6587	46	9	findings	finding	NOUN
ejpam-6587	46	10	,	,	PUNCT
ejpam-6587	46	11	such	such	DET
ejpam-6587	46	12	the	the	DET
ejpam-6587	46	13	solutions	solution	NOUN
ejpam-6587	46	14	given	give	VERB
ejpam-6587	46	15	in	in	ADP
ejpam-6587	46	16	[	[	NOUN
ejpam-6587	46	17	13	13	NUM
ejpam-6587	46	18	]	]	PUNCT
ejpam-6587	46	19	.	.	PUNCT
ejpam-6587	47	1	finally	finally	ADV
ejpam-6587	47	2	,	,	PUNCT
ejpam-6587	47	3	we	we	PRON
ejpam-6587	47	4	use	use	VERB
ejpam-6587	47	5	matlab	matlab	PROPN
ejpam-6587	47	6	software	software	NOUN
ejpam-6587	47	7	to	to	PART
ejpam-6587	47	8	provide	provide	VERB
ejpam-6587	47	9	various	various	ADJ
ejpam-6587	47	10	graphs	graph	NOUN
ejpam-6587	47	11	that	that	PRON
ejpam-6587	47	12	illustrate	illustrate	VERB
ejpam-6587	47	13	the	the	DET
ejpam-6587	47	14	influence	influence	NOUN
ejpam-6587	47	15	of	of	ADP
ejpam-6587	47	16	the	the	DET
ejpam-6587	47	17	stochastic	stochastic	ADJ
ejpam-6587	47	18	term	term	NOUN
ejpam-6587	47	19	on	on	ADP
ejpam-6587	47	20	the	the	DET
ejpam-6587	47	21	acquired	acquire	VERB
ejpam-6587	47	22	solutions	solution	NOUN
ejpam-6587	47	23	.	.	PUNCT
ejpam-6587	48	1	the	the	DET
ejpam-6587	48	2	outline	outline	NOUN
ejpam-6587	48	3	of	of	ADP
ejpam-6587	48	4	this	this	DET
ejpam-6587	48	5	paper	paper	NOUN
ejpam-6587	48	6	as	as	SCONJ
ejpam-6587	48	7	follows	follow	VERB
ejpam-6587	48	8	:	:	PUNCT
ejpam-6587	48	9	in	in	ADP
ejpam-6587	48	10	section	section	NOUN
ejpam-6587	48	11	2	2	NUM
ejpam-6587	48	12	,	,	PUNCT
ejpam-6587	48	13	we	we	PRON
ejpam-6587	48	14	conclude	conclude	VERB
ejpam-6587	48	15	kdve	kdve	VERB
ejpam-6587	48	16	-	-	PUNCT
ejpam-6587	48	17	rvcs	rvcs	PROPN
ejpam-6587	48	18	from	from	ADP
ejpam-6587	48	19	skdv	skdv	NOUN
ejpam-6587	48	20	eq	eq	ADP
ejpam-6587	48	21	.	.	PUNCT
ejpam-6587	49	1	(	(	PUNCT
ejpam-6587	49	2	1	1	NUM
ejpam-6587	49	3	)	)	PUNCT
ejpam-6587	49	4	,	,	PUNCT
ejpam-6587	49	5	then	then	ADV
ejpam-6587	49	6	we	we	PRON
ejpam-6587	49	7	use	use	VERB
ejpam-6587	49	8	the	the	DET
ejpam-6587	49	9	jef	jef	PROPN
ejpam-6587	49	10	-	-	PUNCT
ejpam-6587	49	11	method	method	NOUN
ejpam-6587	49	12	and	and	CCONJ
ejpam-6587	49	13	grem	grem	NOUN
ejpam-6587	49	14	-	-	NOUN
ejpam-6587	49	15	method	method	NOUN
ejpam-6587	49	16	to	to	PART
ejpam-6587	49	17	discover	discover	VERB
ejpam-6587	49	18	the	the	DET
ejpam-6587	49	19	solutions	solution	NOUN
ejpam-6587	49	20	of	of	ADP
ejpam-6587	49	21	kdve	kdve	ADJ
ejpam-6587	49	22	-	-	PUNCT
ejpam-6587	49	23	rvcs	rvcs	ADJ
ejpam-6587	49	24	.	.	PUNCT
ejpam-6587	50	1	section	section	NOUN
ejpam-6587	50	2	3	3	NUM
ejpam-6587	50	3	provides	provide	VERB
ejpam-6587	50	4	the	the	DET
ejpam-6587	50	5	solutions	solution	NOUN
ejpam-6587	50	6	for	for	ADP
ejpam-6587	50	7	skdv	skdv	NOUN
ejpam-6587	50	8	eq	eq	ADP
ejpam-6587	50	9	.	.	PUNCT
ejpam-6587	51	1	(	(	PUNCT
ejpam-6587	51	2	1	1	NUM
ejpam-6587	51	3	)	)	PUNCT
ejpam-6587	51	4	.	.	PUNCT
ejpam-6587	52	1	section	section	NOUN
ejpam-6587	52	2	4	4	NUM
ejpam-6587	52	3	,	,	PUNCT
ejpam-6587	52	4	we	we	PRON
ejpam-6587	52	5	see	see	VERB
ejpam-6587	52	6	the	the	DET
ejpam-6587	52	7	impact	impact	NOUN
ejpam-6587	52	8	of	of	ADP
ejpam-6587	52	9	stochastic	stochastic	ADJ
ejpam-6587	52	10	term	term	NOUN
ejpam-6587	52	11	on	on	ADP
ejpam-6587	52	12	the	the	DET
ejpam-6587	52	13	achieved	achieve	VERB
ejpam-6587	52	14	solutions	solution	NOUN
ejpam-6587	52	15	.	.	PUNCT
ejpam-6587	53	1	lastly	lastly	ADV
ejpam-6587	53	2	,	,	PUNCT
ejpam-6587	53	3	we	we	PRON
ejpam-6587	53	4	present	present	VERB
ejpam-6587	53	5	this	this	DET
ejpam-6587	53	6	article	article	NOUN
ejpam-6587	53	7	’s	’s	PART
ejpam-6587	53	8	conclusions	conclusion	NOUN
ejpam-6587	53	9	.	.	PUNCT
ejpam-6587	54	1	2	2	X
ejpam-6587	54	2	.	.	X
ejpam-6587	54	3	the	the	DET
ejpam-6587	54	4	derivation	derivation	NOUN
ejpam-6587	54	5	and	and	CCONJ
ejpam-6587	54	6	solutions	solution	NOUN
ejpam-6587	54	7	of	of	ADP
ejpam-6587	54	8	kdve	kdve	PROPN
ejpam-6587	54	9	-	-	PUNCT
ejpam-6587	54	10	rvcs	rvcs	PROPN
ejpam-6587	54	11	to	to	PART
ejpam-6587	54	12	derive	derive	VERB
ejpam-6587	54	13	the	the	DET
ejpam-6587	54	14	kdve	kdve	PROPN
ejpam-6587	54	15	-	-	PUNCT
ejpam-6587	54	16	rvcs	rvcs	ADJ
ejpam-6587	54	17	,	,	PUNCT
ejpam-6587	54	18	we	we	PRON
ejpam-6587	54	19	take	take	VERB
ejpam-6587	54	20	the	the	DET
ejpam-6587	54	21	following	follow	VERB
ejpam-6587	54	22	transformation	transformation	NOUN
ejpam-6587	54	23	p(x	p(x	PROPN
ejpam-6587	54	24	,	,	PUNCT
ejpam-6587	54	25	t	t	PROPN
ejpam-6587	54	26	)	)	PUNCT
ejpam-6587	54	27	=	=	SYM
ejpam-6587	55	1	v(x	v(x	NOUN
ejpam-6587	55	2	,	,	PUNCT
ejpam-6587	55	3	t)eσb(t	t)eσb(t	NOUN
ejpam-6587	55	4	)	)	PUNCT
ejpam-6587	55	5	.	.	PUNCT
ejpam-6587	56	1	(	(	PUNCT
ejpam-6587	56	2	2	2	X
ejpam-6587	56	3	)	)	PUNCT
ejpam-6587	56	4	differentiating	differentiate	VERB
ejpam-6587	56	5	eq	eq	NOUN
ejpam-6587	56	6	.	.	PUNCT
ejpam-6587	57	1	(	(	PUNCT
ejpam-6587	57	2	2	2	NUM
ejpam-6587	57	3	)	)	PUNCT
ejpam-6587	57	4	with	with	ADP
ejpam-6587	57	5	regards	regard	NOUN
ejpam-6587	57	6	to	to	ADP
ejpam-6587	57	7	x	x	PUNCT
ejpam-6587	57	8	and	and	CCONJ
ejpam-6587	57	9	t	t	PROPN
ejpam-6587	57	10	and	and	CCONJ
ejpam-6587	57	11	utilizing	utilize	VERB
ejpam-6587	57	12	the	the	DET
ejpam-6587	57	13	itô	itô	PROPN
ejpam-6587	57	14	derivatives	derivative	NOUN
ejpam-6587	57	15	rule	rule	NOUN
ejpam-6587	57	16	,	,	PUNCT
ejpam-6587	57	17	we	we	PRON
ejpam-6587	57	18	get	get	VERB
ejpam-6587	57	19	px	px	NOUN
ejpam-6587	57	20	=	=	PUNCT
ejpam-6587	57	21	vxe	vxe	NOUN
ejpam-6587	57	22	σb(t	σb(t	NOUN
ejpam-6587	57	23	)	)	PUNCT
ejpam-6587	57	24	,	,	PUNCT
ejpam-6587	57	25	pxxx	pxxx	NOUN
ejpam-6587	57	26	=	=	SYM
ejpam-6587	57	27	vxxxe	vxxxe	NOUN
ejpam-6587	57	28	σb(t	σb(t	NUM
ejpam-6587	57	29	)	)	PUNCT
ejpam-6587	57	30	.	.	PUNCT
ejpam-6587	58	1	(	(	PUNCT
ejpam-6587	58	2	3	3	X
ejpam-6587	58	3	)	)	PUNCT
ejpam-6587	58	4	and	and	CCONJ
ejpam-6587	58	5	pt	pt	X
ejpam-6587	58	6	=	=	PUNCT
ejpam-6587	58	7	vte	vte	NOUN
ejpam-6587	58	8	σb(t	σb(t	NOUN
ejpam-6587	58	9	)	)	PUNCT
ejpam-6587	59	1	+	+	CCONJ
ejpam-6587	59	2	(	(	PUNCT
ejpam-6587	59	3	σvbt	σvbt	X
ejpam-6587	59	4	+	+	CCONJ
ejpam-6587	59	5	1	1	NUM
ejpam-6587	59	6	2	2	NUM
ejpam-6587	59	7	σ2v)eσb(t	σ2v)eσb(t	NOUN
ejpam-6587	59	8	)	)	PUNCT
ejpam-6587	59	9	,	,	PUNCT
ejpam-6587	59	10	(	(	PUNCT
ejpam-6587	59	11	4	4	X
ejpam-6587	59	12	)	)	PUNCT
ejpam-6587	59	13	where	where	SCONJ
ejpam-6587	59	14	the	the	DET
ejpam-6587	59	15	term	term	NOUN
ejpam-6587	59	16	1	1	NUM
ejpam-6587	59	17	2σ	2σ	NOUN
ejpam-6587	59	18	2v	2v	PROPN
ejpam-6587	59	19	is	be	AUX
ejpam-6587	59	20	called	call	VERB
ejpam-6587	59	21	the	the	DET
ejpam-6587	59	22	itô	itô	PROPN
ejpam-6587	59	23	correction	correction	NOUN
ejpam-6587	59	24	term	term	NOUN
ejpam-6587	59	25	.	.	PUNCT
ejpam-6587	60	1	now	now	ADV
ejpam-6587	60	2	,	,	PUNCT
ejpam-6587	60	3	substituting	substitute	VERB
ejpam-6587	60	4	from	from	ADP
ejpam-6587	60	5	eqs	eqs	X
ejpam-6587	60	6	(	(	PUNCT
ejpam-6587	60	7	4	4	NUM
ejpam-6587	60	8	)	)	PUNCT
ejpam-6587	60	9	and	and	CCONJ
ejpam-6587	60	10	(	(	PUNCT
ejpam-6587	60	11	3	3	X
ejpam-6587	60	12	)	)	PUNCT
ejpam-6587	60	13	into	into	ADP
ejpam-6587	60	14	eq	eq	NOUN
ejpam-6587	60	15	.	.	PUNCT
ejpam-6587	61	1	(	(	PUNCT
ejpam-6587	61	2	1	1	NUM
ejpam-6587	61	3	)	)	PUNCT
ejpam-6587	61	4	,	,	PUNCT
ejpam-6587	61	5	we	we	PRON
ejpam-6587	61	6	have	have	VERB
ejpam-6587	61	7	the	the	DET
ejpam-6587	61	8	following	follow	VERB
ejpam-6587	61	9	kdve	kdve	ADJ
ejpam-6587	61	10	-	-	PUNCT
ejpam-6587	61	11	rvcs	rvcs	ADJ
ejpam-6587	61	12	:	:	PUNCT
ejpam-6587	62	1	vt	vt	PROPN
ejpam-6587	62	2	+	+	CCONJ
ejpam-6587	62	3	bvxxx	bvxxx	PROPN
ejpam-6587	62	4	+	+	PROPN
ejpam-6587	62	5	a(t)vvx	a(t)vvx	PROPN
ejpam-6587	62	6	+	+	NOUN
ejpam-6587	62	7	1	1	NUM
ejpam-6587	62	8	2	2	NUM
ejpam-6587	62	9	σ2v	σ2v	NOUN
ejpam-6587	62	10	=	=	SYM
ejpam-6587	62	11	0	0	PROPN
ejpam-6587	62	12	,	,	PUNCT
ejpam-6587	62	13	(	(	PUNCT
ejpam-6587	62	14	5	5	NUM
ejpam-6587	62	15	)	)	PUNCT
ejpam-6587	62	16	where	where	SCONJ
ejpam-6587	62	17	a(t	a(t	NOUN
ejpam-6587	62	18	)	)	PUNCT
ejpam-6587	62	19	=	=	SYM
ejpam-6587	62	20	aeσb(t	aeσb(t	NOUN
ejpam-6587	62	21	)	)	PUNCT
ejpam-6587	62	22	and	and	CCONJ
ejpam-6587	62	23	v	v	NOUN
ejpam-6587	62	24	is	be	AUX
ejpam-6587	62	25	a	a	DET
ejpam-6587	62	26	real	real	ADJ
ejpam-6587	62	27	stochastic	stochastic	ADJ
ejpam-6587	62	28	function	function	NOUN
ejpam-6587	62	29	.	.	PUNCT
ejpam-6587	63	1	2.1	2.1	NUM
ejpam-6587	63	2	.	.	X
ejpam-6587	64	1	jef	jef	NOUN
ejpam-6587	64	2	-	-	PUNCT
ejpam-6587	64	3	method	method	NOUN
ejpam-6587	64	4	we	we	PRON
ejpam-6587	64	5	apply	apply	VERB
ejpam-6587	64	6	the	the	DET
ejpam-6587	64	7	jef	jef	PROPN
ejpam-6587	64	8	-	-	PUNCT
ejpam-6587	64	9	method	method	NOUN
ejpam-6587	64	10	,	,	PUNCT
ejpam-6587	64	11	as	as	SCONJ
ejpam-6587	64	12	indicated	indicate	VERB
ejpam-6587	64	13	in	in	ADP
ejpam-6587	64	14	[	[	X
ejpam-6587	64	15	19	19	NUM
ejpam-6587	64	16	]	]	PUNCT
ejpam-6587	64	17	.	.	PUNCT
ejpam-6587	65	1	assuming	assume	VERB
ejpam-6587	65	2	the	the	DET
ejpam-6587	65	3	solutions	solution	NOUN
ejpam-6587	65	4	of	of	ADP
ejpam-6587	65	5	kdve	kdve	PROPN
ejpam-6587	65	6	-	-	PUNCT
ejpam-6587	65	7	rvcs	rvcs	PROPN
ejpam-6587	65	8	(	(	PUNCT
ejpam-6587	65	9	5	5	X
ejpam-6587	65	10	)	)	PUNCT
ejpam-6587	65	11	have	have	VERB
ejpam-6587	65	12	the	the	DET
ejpam-6587	65	13	form	form	NOUN
ejpam-6587	65	14	v(x	v(x	PROPN
ejpam-6587	65	15	,	,	PUNCT
ejpam-6587	65	16	t	t	PROPN
ejpam-6587	65	17	)	)	PUNCT
ejpam-6587	65	18	=	=	SYM
ejpam-6587	65	19	n∑	n∑	DET
ejpam-6587	65	20	k=0	k=0	PROPN
ejpam-6587	65	21	ak(t)j	ak(t)j	ADP
ejpam-6587	65	22	k(η	k(η	PROPN
ejpam-6587	65	23	)	)	PUNCT
ejpam-6587	65	24	,	,	PUNCT
ejpam-6587	65	25	η	η	PROPN
ejpam-6587	65	26	=	=	PROPN
ejpam-6587	65	27	kx+	kx+	PROPN
ejpam-6587	65	28	∫	∫	PROPN
ejpam-6587	65	29	t	t	PROPN
ejpam-6587	65	30	0	0	NUM
ejpam-6587	65	31	λ(s)ds	λ(s)ds	PROPN
ejpam-6587	65	32	,	,	PUNCT
ejpam-6587	65	33	(	(	PUNCT
ejpam-6587	65	34	6	6	NUM
ejpam-6587	65	35	)	)	PUNCT
ejpam-6587	65	36	where	where	SCONJ
ejpam-6587	65	37	j	j	PROPN
ejpam-6587	65	38	(	(	PUNCT
ejpam-6587	65	39	η	η	PROPN
ejpam-6587	65	40	)	)	PUNCT
ejpam-6587	65	41	represents	represent	VERB
ejpam-6587	65	42	one	one	NUM
ejpam-6587	65	43	of	of	ADP
ejpam-6587	65	44	these	these	DET
ejpam-6587	65	45	elliptic	elliptic	ADJ
ejpam-6587	65	46	functions	function	NOUN
ejpam-6587	65	47	:	:	PUNCT
ejpam-6587	65	48	sn(ϖη	sn(ϖη	PROPN
ejpam-6587	65	49	,	,	PUNCT
ejpam-6587	65	50	m	m	PROPN
ejpam-6587	65	51	)	)	PUNCT
ejpam-6587	65	52	,	,	PUNCT
ejpam-6587	65	53	cn(ϖη	cn(ϖη	PROPN
ejpam-6587	65	54	,	,	PUNCT
ejpam-6587	65	55	m	m	PROPN
ejpam-6587	65	56	)	)	PUNCT
ejpam-6587	65	57	or	or	CCONJ
ejpam-6587	65	58	dn(ϖη	dn(ϖη	PROPN
ejpam-6587	65	59	,	,	PUNCT
ejpam-6587	65	60	m	m	PROPN
ejpam-6587	65	61	)	)	PUNCT
ejpam-6587	65	62	.	.	PUNCT
ejpam-6587	66	1	first	first	ADV
ejpam-6587	66	2	let	let	VERB
ejpam-6587	66	3	us	we	PRON
ejpam-6587	66	4	balance	balance	VERB
ejpam-6587	66	5	v	v	ADP
ejpam-6587	66	6	′′′	′′′	NOUN
ejpam-6587	66	7	with	with	ADP
ejpam-6587	66	8	vv	vv	NOUN
ejpam-6587	66	9	′	′	VERB
ejpam-6587	66	10	to	to	PART
ejpam-6587	66	11	find	find	VERB
ejpam-6587	66	12	n	n	PRON
ejpam-6587	66	13	in	in	ADP
ejpam-6587	66	14	eq	eq	ADP
ejpam-6587	66	15	.	.	PUNCT
ejpam-6587	67	1	(	(	PUNCT
ejpam-6587	67	2	6	6	NUM
ejpam-6587	67	3	)	)	PUNCT
ejpam-6587	67	4	as	as	ADP
ejpam-6587	67	5	:	:	PUNCT
ejpam-6587	67	6	n+	n+	NUM
ejpam-6587	67	7	3	3	X
ejpam-6587	67	8	=	=	SYM
ejpam-6587	67	9	n+	n+	X
ejpam-6587	67	10	n+	n+	NUM
ejpam-6587	67	11	1	1	NUM
ejpam-6587	67	12	=	=	NOUN
ejpam-6587	67	13	⇒	⇒	NOUN
ejpam-6587	67	14	n	n	NOUN
ejpam-6587	67	15	=	=	SYM
ejpam-6587	67	16	2	2	X
ejpam-6587	67	17	.	.	X
ejpam-6587	67	18	rewriting	rewrite	VERB
ejpam-6587	67	19	eq	eq	ADP
ejpam-6587	67	20	.	.	PUNCT
ejpam-6587	68	1	(	(	PUNCT
ejpam-6587	68	2	6	6	NUM
ejpam-6587	68	3	)	)	PUNCT
ejpam-6587	68	4	as	as	ADP
ejpam-6587	68	5	v(x	v(x	PROPN
ejpam-6587	68	6	,	,	PUNCT
ejpam-6587	68	7	t	t	PROPN
ejpam-6587	68	8	)	)	PUNCT
ejpam-6587	68	9	=	=	PUNCT
ejpam-6587	69	1	a0(t	a0(t	PROPN
ejpam-6587	69	2	)	)	PUNCT
ejpam-6587	69	3	+	+	NUM
ejpam-6587	69	4	a1(t)j	a1(t)j	NUM
ejpam-6587	69	5	(	(	PUNCT
ejpam-6587	69	6	η	η	NOUN
ejpam-6587	69	7	)	)	PUNCT
ejpam-6587	69	8	+	+	NUM
ejpam-6587	69	9	a2(t)j	a2(t)j	NOUN
ejpam-6587	69	10	2(η	2(η	NUM
ejpam-6587	69	11	)	)	PUNCT
ejpam-6587	69	12	.	.	PUNCT
ejpam-6587	70	1	(	(	PUNCT
ejpam-6587	70	2	7	7	X
ejpam-6587	70	3	)	)	PUNCT
ejpam-6587	70	4	a.	a.	NOUN
ejpam-6587	70	5	alshuhail	alshuhail	NOUN
ejpam-6587	70	6	et	et	PROPN
ejpam-6587	70	7	al	al	PROPN
ejpam-6587	70	8	.	.	PUNCT
ejpam-6587	70	9	/	/	SYM
ejpam-6587	70	10	eur	eur	PROPN
ejpam-6587	70	11	.	.	PUNCT
ejpam-6587	71	1	j.	j.	PROPN
ejpam-6587	71	2	pure	pure	PROPN
ejpam-6587	71	3	appl	appl	PROPN
ejpam-6587	71	4	.	.	PROPN
ejpam-6587	71	5	math	math	PROPN
ejpam-6587	71	6	,	,	PUNCT
ejpam-6587	71	7	18	18	NUM
ejpam-6587	71	8	(	(	PUNCT
ejpam-6587	71	9	4	4	NUM
ejpam-6587	71	10	)	)	PUNCT
ejpam-6587	71	11	(	(	PUNCT
ejpam-6587	71	12	2025	2025	NUM
ejpam-6587	71	13	)	)	PUNCT
ejpam-6587	71	14	,	,	PUNCT
ejpam-6587	71	15	6587	6587	NUM
ejpam-6587	71	16	4	4	NUM
ejpam-6587	71	17	of	of	ADP
ejpam-6587	71	18	16	16	NUM
ejpam-6587	71	19	by	by	ADP
ejpam-6587	71	20	differentiating	differentiate	VERB
ejpam-6587	71	21	eq	eq	PROPN
ejpam-6587	71	22	.	.	PUNCT
ejpam-6587	71	23	(	(	PUNCT
ejpam-6587	71	24	7	7	NUM
ejpam-6587	71	25	)	)	PUNCT
ejpam-6587	71	26	with	with	ADP
ejpam-6587	71	27	regards	regard	NOUN
ejpam-6587	71	28	to	to	ADP
ejpam-6587	71	29	t	t	NOUN
ejpam-6587	71	30	and	and	CCONJ
ejpam-6587	71	31	x	x	X
ejpam-6587	71	32	,	,	PUNCT
ejpam-6587	71	33	we	we	PRON
ejpam-6587	71	34	obtain	obtain	VERB
ejpam-6587	71	35	vt	vt	NOUN
ejpam-6587	71	36	=	=	SYM
ejpam-6587	71	37	·	·	PUNCT
ejpam-6587	71	38	a0	a0	PROPN
ejpam-6587	71	39	+	+	CCONJ
ejpam-6587	71	40	·	·	PUNCT
ejpam-6587	71	41	a1j	a1j	NOUN
ejpam-6587	72	1	+	+	NOUN
ejpam-6587	72	2	ϖλa1j	ϖλa1j	NOUN
ejpam-6587	72	3	′	′	NUM
ejpam-6587	73	1	+	+	NUM
ejpam-6587	73	2	·	·	PUNCT
ejpam-6587	73	3	a2j	a2j	NOUN
ejpam-6587	73	4	2	2	NUM
ejpam-6587	73	5	+	+	NUM
ejpam-6587	73	6	2ϖλa2j	2ϖλa2j	NUM
ejpam-6587	73	7	′j	′j	NOUN
ejpam-6587	73	8	,	,	PUNCT
ejpam-6587	73	9	vx	vx	PROPN
ejpam-6587	73	10	=	=	SYM
ejpam-6587	73	11	(	(	PUNCT
ejpam-6587	73	12	ϖka1	ϖka1	PROPN
ejpam-6587	73	13	+	+	CCONJ
ejpam-6587	73	14	2ϖka2j	2ϖka2j	NUM
ejpam-6587	73	15	)	)	PUNCT
ejpam-6587	73	16	j	j	PROPN
ejpam-6587	73	17	′	′	NUM
ejpam-6587	73	18	,	,	PUNCT
ejpam-6587	73	19	vxx	vxx	X
ejpam-6587	73	20	=	=	PUNCT
ejpam-6587	73	21	k2(a1	k2(a1	X
ejpam-6587	73	22	+	+	CCONJ
ejpam-6587	73	23	2a2)(b1j	2a2)(b1j	NUM
ejpam-6587	74	1	+	+	CCONJ
ejpam-6587	74	2	b2j	b2j	NOUN
ejpam-6587	74	3	3	3	NUM
ejpam-6587	74	4	)	)	PUNCT
ejpam-6587	74	5	+	+	NUM
ejpam-6587	74	6	2ϖ2k2a2j	2ϖ2k2a2j	PROPN
ejpam-6587	74	7	′2	′2	NOUN
ejpam-6587	74	8	,	,	PUNCT
ejpam-6587	74	9	vxxx	vxxx	NOUN
ejpam-6587	74	10	=	=	PUNCT
ejpam-6587	74	11	ϖk3a1(b1	ϖk3a1(b1	NOUN
ejpam-6587	75	1	+	+	NUM
ejpam-6587	75	2	3b2j	3b2j	ADJ
ejpam-6587	75	3	2)j	2)j	NUM
ejpam-6587	75	4	′	′	NUM
ejpam-6587	76	1	+	+	CCONJ
ejpam-6587	76	2	4ϖk3a2(2b1j	4ϖk3a2(2b1j	NUM
ejpam-6587	76	3	+	+	SYM
ejpam-6587	76	4	3b2j	3b2j	ADJ
ejpam-6587	76	5	3)j	3)j	NUM
ejpam-6587	76	6	′	′	NOUN
ejpam-6587	76	7	,	,	PUNCT
ejpam-6587	76	8	vxv	vxv	NOUN
ejpam-6587	76	9	=	=	SYM
ejpam-6587	77	1	ϖk(a0a1	ϖk(a0a1	PROPN
ejpam-6587	78	1	+	+	NUM
ejpam-6587	78	2	2a0a2j	2a0a2j	NUM
ejpam-6587	78	3	+	+	CCONJ
ejpam-6587	78	4	a21j	a21j	X
ejpam-6587	78	5	+	+	CCONJ
ejpam-6587	78	6	3a1a2j	3a1a2j	PROPN
ejpam-6587	78	7	2	2	NUM
ejpam-6587	78	8	+	+	NUM
ejpam-6587	78	9	2a22j	2a22j	NUM
ejpam-6587	78	10	3)j	3)j	NUM
ejpam-6587	78	11	′	′	NOUN
ejpam-6587	78	12	,	,	PUNCT
ejpam-6587	78	13	(	(	PUNCT
ejpam-6587	78	14	8)	8)	NUM
ejpam-6587	78	15	where	where	SCONJ
ejpam-6587	78	16	b1	b1	NOUN
ejpam-6587	78	17	and	and	CCONJ
ejpam-6587	78	18	b2	b2	NOUN
ejpam-6587	78	19	are	be	AUX
ejpam-6587	78	20	constants	constant	NOUN
ejpam-6587	78	21	that	that	SCONJ
ejpam-6587	78	22	based	base	VERB
ejpam-6587	78	23	on	on	ADP
ejpam-6587	78	24	ϖ	ϖ	NOUN
ejpam-6587	78	25	,	,	PUNCT
ejpam-6587	78	26	and	and	CCONJ
ejpam-6587	78	27	m	m	PROPN
ejpam-6587	78	28	,	,	PUNCT
ejpam-6587	78	29	and	and	CCONJ
ejpam-6587	78	30	will	will	AUX
ejpam-6587	78	31	be	be	AUX
ejpam-6587	78	32	explained	explain	VERB
ejpam-6587	78	33	later	later	ADV
ejpam-6587	78	34	.	.	PUNCT
ejpam-6587	79	1	putting	put	VERB
ejpam-6587	79	2	eqs	eqs	PROPN
ejpam-6587	79	3	.	.	PUNCT
ejpam-6587	80	1	(	(	PUNCT
ejpam-6587	80	2	7	7	NUM
ejpam-6587	80	3	)	)	PUNCT
ejpam-6587	80	4	and	and	CCONJ
ejpam-6587	80	5	(	(	PUNCT
ejpam-6587	80	6	8)	8)	NUM
ejpam-6587	80	7	into	into	ADP
ejpam-6587	80	8	kdve	kdve	PROPN
ejpam-6587	80	9	-	-	PUNCT
ejpam-6587	80	10	rvcs	rvcs	PROPN
ejpam-6587	80	11	(	(	PUNCT
ejpam-6587	80	12	5	5	NUM
ejpam-6587	80	13	)	)	PUNCT
ejpam-6587	80	14	and	and	CCONJ
ejpam-6587	80	15	equating	equate	VERB
ejpam-6587	80	16	all	all	DET
ejpam-6587	80	17	the	the	DET
ejpam-6587	80	18	coefficients	coefficient	NOUN
ejpam-6587	80	19	of	of	ADP
ejpam-6587	80	20	j	j	PROPN
ejpam-6587	80	21	′j	′j	PROPN
ejpam-6587	80	22	n	n	CCONJ
ejpam-6587	80	23	to	to	ADP
ejpam-6587	80	24	zero	zero	NUM
ejpam-6587	80	25	,	,	PUNCT
ejpam-6587	80	26	we	we	PRON
ejpam-6587	80	27	attain	attain	VERB
ejpam-6587	80	28	j	j	PROPN
ejpam-6587	80	29	0	0	NUM
ejpam-6587	80	30	:	:	PUNCT
ejpam-6587	80	31	·	·	PUNCT
ejpam-6587	80	32	a0	a0	NOUN
ejpam-6587	80	33	+	+	CCONJ
ejpam-6587	80	34	1	1	NUM
ejpam-6587	80	35	2	2	NUM
ejpam-6587	80	36	σ2a0	σ2a0	NOUN
ejpam-6587	80	37	=	=	SYM
ejpam-6587	80	38	0	0	PROPN
ejpam-6587	80	39	,	,	PUNCT
ejpam-6587	80	40	j	j	NOUN
ejpam-6587	80	41	:	:	PUNCT
ejpam-6587	80	42	·	·	PUNCT
ejpam-6587	80	43	a1	a1	NOUN
ejpam-6587	81	1	+	+	CCONJ
ejpam-6587	81	2	1	1	NUM
ejpam-6587	81	3	2	2	NUM
ejpam-6587	81	4	σ2a1	σ2a1	NOUN
ejpam-6587	81	5	=	=	NOUN
ejpam-6587	81	6	0	0	PROPN
ejpam-6587	81	7	,	,	PUNCT
ejpam-6587	81	8	j	j	PROPN
ejpam-6587	81	9	2	2	NUM
ejpam-6587	81	10	:	:	PUNCT
ejpam-6587	81	11	·	·	PUNCT
ejpam-6587	81	12	a2	a2	NOUN
ejpam-6587	81	13	+	+	CCONJ
ejpam-6587	81	14	1	1	NUM
ejpam-6587	81	15	2	2	NUM
ejpam-6587	81	16	σ2a2	σ2a2	NOUN
ejpam-6587	81	17	=	=	SYM
ejpam-6587	81	18	0	0	PROPN
ejpam-6587	81	19	,	,	PUNCT
ejpam-6587	81	20	j	j	PROPN
ejpam-6587	81	21	0j	0j	NOUN
ejpam-6587	81	22	′	′	NUM
ejpam-6587	81	23	:	:	PUNCT
ejpam-6587	81	24	ϖa1[λ+	ϖa1[λ+	PROPN
ejpam-6587	82	1	bk3b1	bk3b1	PROPN
ejpam-6587	82	2	+	+	NUM
ejpam-6587	82	3	ka20a(t	ka20a(t	NOUN
ejpam-6587	82	4	)	)	PUNCT
ejpam-6587	82	5	]	]	PUNCT
ejpam-6587	83	1	=	=	PUNCT
ejpam-6587	83	2	0	0	NUM
ejpam-6587	83	3	,	,	PUNCT
ejpam-6587	83	4	jj	jj	PROPN
ejpam-6587	83	5	′	′	NUM
ejpam-6587	83	6	:	:	PUNCT
ejpam-6587	84	1	2ϖλa2	2ϖλa2	NUM
ejpam-6587	84	2	+	+	CCONJ
ejpam-6587	84	3	8bϖk3a2b1	8bϖk3a2b1	NUM
ejpam-6587	85	1	+	+	ADJ
ejpam-6587	85	2	aϖka21	aϖka21	ADJ
ejpam-6587	85	3	+	+	NUM
ejpam-6587	85	4	2ϖka(t)a0a2	2ϖka(t)a0a2	NOUN
ejpam-6587	85	5	=	=	SYM
ejpam-6587	85	6	0	0	NUM
ejpam-6587	85	7	,	,	PUNCT
ejpam-6587	85	8	j	j	PROPN
ejpam-6587	85	9	2j	2j	NUM
ejpam-6587	85	10	′	′	NUM
ejpam-6587	85	11	:	:	PUNCT
ejpam-6587	86	1	3bϖk3a1b2	3bϖk3a1b2	NUM
ejpam-6587	86	2	+	+	NOUN
ejpam-6587	86	3	3ϖka1a2a(t	3ϖka1a2a(t	NUM
ejpam-6587	86	4	)	)	PUNCT
ejpam-6587	86	5	=	=	SYM
ejpam-6587	86	6	0	0	NUM
ejpam-6587	86	7	,	,	PUNCT
ejpam-6587	86	8	and	and	CCONJ
ejpam-6587	86	9	j	j	PROPN
ejpam-6587	86	10	3j	3j	NUM
ejpam-6587	86	11	′	′	NUM
ejpam-6587	86	12	:	:	PUNCT
ejpam-6587	87	1	12bϖk3b2a2	12bϖk3b2a2	NUM
ejpam-6587	87	2	+	+	CCONJ
ejpam-6587	87	3	2ϖka(t)a22	2ϖka(t)a22	NUM
ejpam-6587	87	4	=	=	SYM
ejpam-6587	87	5	0	0	X
ejpam-6587	87	6	.	.	PUNCT
ejpam-6587	88	1	solving	solve	VERB
ejpam-6587	88	2	these	these	DET
ejpam-6587	88	3	equations	equation	NOUN
ejpam-6587	88	4	yields	yield	VERB
ejpam-6587	88	5	a0(t	a0(t	PRON
ejpam-6587	88	6	)	)	PUNCT
ejpam-6587	88	7	=	=	PUNCT
ejpam-6587	89	1	ℓ0e	ℓ0e	PROPN
ejpam-6587	89	2	−	−	NUM
ejpam-6587	89	3	1	1	NUM
ejpam-6587	89	4	2	2	NUM
ejpam-6587	89	5	σ2	σ2	PROPN
ejpam-6587	89	6	t	t	PROPN
ejpam-6587	89	7	,	,	PUNCT
ejpam-6587	89	8	a1	a1	NOUN
ejpam-6587	89	9	=	=	SYM
ejpam-6587	89	10	0	0	NUM
ejpam-6587	89	11	,	,	PUNCT
ejpam-6587	89	12	a2(t	a2(t	NOUN
ejpam-6587	89	13	)	)	PUNCT
ejpam-6587	89	14	=	=	PUNCT
ejpam-6587	90	1	ℓ2e	ℓ2e	PRON
ejpam-6587	90	2	−	−	NUM
ejpam-6587	90	3	1	1	NUM
ejpam-6587	90	4	2	2	NUM
ejpam-6587	90	5	σ2	σ2	PROPN
ejpam-6587	90	6	t	t	PROPN
ejpam-6587	90	7	,	,	PUNCT
ejpam-6587	90	8	b	b	X
ejpam-6587	90	9	=	=	SYM
ejpam-6587	90	10	−ℓ2a(t	−ℓ2a(t	PROPN
ejpam-6587	90	11	)	)	PUNCT
ejpam-6587	90	12	6k2b2	6k2b2	NUM
ejpam-6587	91	1	e−	e−	PROPN
ejpam-6587	91	2	1	1	NUM
ejpam-6587	91	3	2	2	NUM
ejpam-6587	91	4	σ2	σ2	PROPN
ejpam-6587	91	5	t	t	PROPN
ejpam-6587	91	6	,	,	PUNCT
ejpam-6587	91	7	and	and	CCONJ
ejpam-6587	91	8	λ(t	λ(t	NOUN
ejpam-6587	91	9	)	)	PUNCT
ejpam-6587	91	10	=	=	PUNCT
ejpam-6587	92	1	−k	−k	PROPN
ejpam-6587	92	2	(	(	PUNCT
ejpam-6587	92	3	2ℓ2b1	2ℓ2b1	NOUN
ejpam-6587	92	4	3b2	3b2	NUM
ejpam-6587	92	5	+	+	NUM
ejpam-6587	92	6	ℓ0)a(t)e−	ℓ0)a(t)e−	NOUN
ejpam-6587	92	7	1	1	NUM
ejpam-6587	92	8	2	2	NUM
ejpam-6587	92	9	σ2	σ2	PROPN
ejpam-6587	92	10	t	t	PROPN
ejpam-6587	92	11	,	,	PUNCT
ejpam-6587	92	12	where	where	SCONJ
ejpam-6587	92	13	ℓ0	ℓ0	PROPN
ejpam-6587	92	14	and	and	CCONJ
ejpam-6587	92	15	ℓ2	ℓ2	NOUN
ejpam-6587	92	16	are	be	AUX
ejpam-6587	92	17	constants	constant	NOUN
ejpam-6587	92	18	.	.	PUNCT
ejpam-6587	93	1	hence	hence	ADV
ejpam-6587	93	2	,	,	PUNCT
ejpam-6587	93	3	the	the	DET
ejpam-6587	93	4	solution	solution	NOUN
ejpam-6587	93	5	of	of	ADP
ejpam-6587	93	6	the	the	DET
ejpam-6587	93	7	kdve	kdve	PROPN
ejpam-6587	93	8	-	-	PUNCT
ejpam-6587	93	9	rvcs	rvcs	PROPN
ejpam-6587	93	10	(	(	PUNCT
ejpam-6587	93	11	5	5	NUM
ejpam-6587	93	12	)	)	PUNCT
ejpam-6587	93	13	is	be	AUX
ejpam-6587	93	14	v(x	v(x	PROPN
ejpam-6587	93	15	,	,	PUNCT
ejpam-6587	93	16	t	t	PROPN
ejpam-6587	93	17	)	)	PUNCT
ejpam-6587	93	18	=	=	PUNCT
ejpam-6587	94	1	[	[	X
ejpam-6587	94	2	ℓ0	ℓ0	X
ejpam-6587	94	3	+	+	CCONJ
ejpam-6587	94	4	ℓ2j	ℓ2j	ADP
ejpam-6587	94	5	2(η)]e−	2(η)]e−	NUM
ejpam-6587	94	6	1	1	NUM
ejpam-6587	94	7	2	2	NUM
ejpam-6587	94	8	σ2	σ2	PROPN
ejpam-6587	94	9	t	t	PROPN
ejpam-6587	94	10	,	,	PUNCT
ejpam-6587	94	11	η	η	PROPN
ejpam-6587	94	12	=	=	PROPN
ejpam-6587	94	13	kx−	kx−	PROPN
ejpam-6587	94	14	k	k	X
ejpam-6587	94	15	(	(	PUNCT
ejpam-6587	94	16	2ℓ2b1	2ℓ2b1	NOUN
ejpam-6587	94	17	3b2	3b2	NUM
ejpam-6587	94	18	+	+	CCONJ
ejpam-6587	94	19	ℓ0	ℓ0	ADV
ejpam-6587	94	20	)	)	PUNCT
ejpam-6587	95	1	∫	∫	PROPN
ejpam-6587	95	2	t	t	PROPN
ejpam-6587	95	3	0	0	NUM
ejpam-6587	95	4	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	95	5	1	1	NUM
ejpam-6587	95	6	2	2	NUM
ejpam-6587	95	7	σ2τdτ	σ2τdτ	NOUN
ejpam-6587	95	8	.	.	PUNCT
ejpam-6587	96	1	(	(	PUNCT
ejpam-6587	96	2	9	9	NUM
ejpam-6587	96	3	)	)	PUNCT
ejpam-6587	96	4	in	in	ADP
ejpam-6587	96	5	the	the	DET
ejpam-6587	96	6	following	following	NOUN
ejpam-6587	96	7	,	,	PUNCT
ejpam-6587	96	8	j	j	PROPN
ejpam-6587	96	9	(	(	PUNCT
ejpam-6587	96	10	η	η	PROPN
ejpam-6587	96	11	)	)	PUNCT
ejpam-6587	96	12	is	be	AUX
ejpam-6587	96	13	defined	define	VERB
ejpam-6587	96	14	as	as	ADP
ejpam-6587	96	15	:	:	PUNCT
ejpam-6587	96	16	set	set	NOUN
ejpam-6587	96	17	1	1	NUM
ejpam-6587	96	18	:	:	PUNCT
ejpam-6587	96	19	when	when	SCONJ
ejpam-6587	96	20	j	j	PROPN
ejpam-6587	96	21	(	(	PUNCT
ejpam-6587	96	22	η	η	PROPN
ejpam-6587	96	23	)	)	PUNCT
ejpam-6587	96	24	=	=	SYM
ejpam-6587	96	25	sn(ϖη	sn(ϖη	PROPN
ejpam-6587	96	26	,	,	PUNCT
ejpam-6587	96	27	m	m	PROPN
ejpam-6587	96	28	)	)	PUNCT
ejpam-6587	96	29	,	,	PUNCT
ejpam-6587	96	30	then	then	ADV
ejpam-6587	96	31	eq	eq	ADP
ejpam-6587	96	32	.	.	PUNCT
ejpam-6587	97	1	(	(	PUNCT
ejpam-6587	97	2	9	9	X
ejpam-6587	97	3	)	)	PUNCT
ejpam-6587	97	4	takes	take	VERB
ejpam-6587	97	5	the	the	DET
ejpam-6587	97	6	form	form	NOUN
ejpam-6587	97	7	v(x	v(x	PROPN
ejpam-6587	97	8	,	,	PUNCT
ejpam-6587	97	9	t	t	PROPN
ejpam-6587	97	10	)	)	PUNCT
ejpam-6587	97	11	=	=	PUNCT
ejpam-6587	98	1	(	(	PUNCT
ejpam-6587	98	2	ℓ0	ℓ0	INTJ
ejpam-6587	98	3	+	+	CCONJ
ejpam-6587	98	4	ℓ2	ℓ2	NOUN
ejpam-6587	98	5	(	(	PUNCT
ejpam-6587	98	6	sn(kϖx−	sn(kϖx−	VERB
ejpam-6587	98	7	kϖ	kϖ	PROPN
ejpam-6587	98	8	(	(	PUNCT
ejpam-6587	98	9	2ℓ2b1	2ℓ2b1	NOUN
ejpam-6587	98	10	3b2	3b2	NUM
ejpam-6587	98	11	+	+	CCONJ
ejpam-6587	98	12	ℓ0	ℓ0	ADV
ejpam-6587	98	13	)	)	PUNCT
ejpam-6587	98	14	∫	∫	PROPN
ejpam-6587	99	1	t	t	PROPN
ejpam-6587	99	2	0	0	NUM
ejpam-6587	99	3	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	99	4	1	1	NUM
ejpam-6587	99	5	2	2	NUM
ejpam-6587	99	6	σ2τdτ	σ2τdτ	NUM
ejpam-6587	99	7	,	,	PUNCT
ejpam-6587	99	8	m	m	NOUN
ejpam-6587	99	9	)	)	PUNCT
ejpam-6587	99	10	)	)	PUNCT
ejpam-6587	100	1	2	2	X
ejpam-6587	100	2	)	)	PUNCT
ejpam-6587	100	3	e−	e−	PUNCT
ejpam-6587	100	4	1	1	NUM
ejpam-6587	100	5	2	2	NUM
ejpam-6587	100	6	σ2	σ2	PROPN
ejpam-6587	100	7	t	t	PROPN
ejpam-6587	100	8	,	,	PUNCT
ejpam-6587	100	9	(	(	PUNCT
ejpam-6587	100	10	10	10	NUM
ejpam-6587	100	11	)	)	PUNCT
ejpam-6587	100	12	where	where	SCONJ
ejpam-6587	100	13	the	the	DET
ejpam-6587	100	14	integral	integral	ADJ
ejpam-6587	100	15	∫	∫	PROPN
ejpam-6587	100	16	t	t	PROPN
ejpam-6587	100	17	0	0	PUNCT
ejpam-6587	100	18	e	e	NOUN
ejpam-6587	100	19	σb(τ)−	σb(τ)−	NOUN
ejpam-6587	100	20	1	1	NUM
ejpam-6587	100	21	2	2	NUM
ejpam-6587	100	22	σ2τdτ	σ2τdτ	NOUN
ejpam-6587	100	23	converges	converge	VERB
ejpam-6587	100	24	almost	almost	ADV
ejpam-6587	100	25	surely	surely	ADV
ejpam-6587	100	26	,	,	PUNCT
ejpam-6587	100	27	b1	b1	NOUN
ejpam-6587	100	28	=	=	SYM
ejpam-6587	100	29	−ϖ2(1	−ϖ2(1	PROPN
ejpam-6587	100	30	+	+	NOUN
ejpam-6587	100	31	m2	m2	NOUN
ejpam-6587	100	32	)	)	PUNCT
ejpam-6587	100	33	and	and	CCONJ
ejpam-6587	100	34	b2	b2	NOUN
ejpam-6587	100	35	=	=	SYM
ejpam-6587	100	36	2ϖ2m2	2ϖ2m2	NUM
ejpam-6587	100	37	.	.	PUNCT
ejpam-6587	100	38	a.	a.	NOUN
ejpam-6587	100	39	alshuhail	alshuhail	PROPN
ejpam-6587	100	40	et	et	PROPN
ejpam-6587	100	41	al	al	PROPN
ejpam-6587	100	42	.	.	PUNCT
ejpam-6587	100	43	/	/	SYM
ejpam-6587	100	44	eur	eur	PROPN
ejpam-6587	100	45	.	.	PUNCT
ejpam-6587	101	1	j.	j.	PROPN
ejpam-6587	101	2	pure	pure	PROPN
ejpam-6587	101	3	appl	appl	PROPN
ejpam-6587	101	4	.	.	PROPN
ejpam-6587	101	5	math	math	PROPN
ejpam-6587	101	6	,	,	PUNCT
ejpam-6587	101	7	18	18	NUM
ejpam-6587	101	8	(	(	PUNCT
ejpam-6587	101	9	4	4	NUM
ejpam-6587	101	10	)	)	PUNCT
ejpam-6587	101	11	(	(	PUNCT
ejpam-6587	101	12	2025	2025	NUM
ejpam-6587	101	13	)	)	PUNCT
ejpam-6587	101	14	,	,	PUNCT
ejpam-6587	101	15	6587	6587	NUM
ejpam-6587	101	16	5	5	NUM
ejpam-6587	101	17	of	of	ADP
ejpam-6587	101	18	16	16	NUM
ejpam-6587	101	19	set	set	VERB
ejpam-6587	101	20	2	2	NUM
ejpam-6587	101	21	:	:	PUNCT
ejpam-6587	101	22	when	when	SCONJ
ejpam-6587	101	23	j	j	PROPN
ejpam-6587	101	24	(	(	PUNCT
ejpam-6587	101	25	η	η	PROPN
ejpam-6587	101	26	)	)	PUNCT
ejpam-6587	101	27	=	=	SYM
ejpam-6587	101	28	cn(ϖη	cn(ϖη	PROPN
ejpam-6587	101	29	,	,	PUNCT
ejpam-6587	101	30	m	m	PROPN
ejpam-6587	101	31	)	)	PUNCT
ejpam-6587	101	32	,	,	PUNCT
ejpam-6587	101	33	then	then	ADV
ejpam-6587	101	34	eq	eq	ADP
ejpam-6587	101	35	.	.	PUNCT
ejpam-6587	102	1	(	(	PUNCT
ejpam-6587	102	2	9	9	X
ejpam-6587	102	3	)	)	PUNCT
ejpam-6587	102	4	becomes	become	VERB
ejpam-6587	102	5	v(x	v(x	PROPN
ejpam-6587	102	6	,	,	PUNCT
ejpam-6587	102	7	t	t	PROPN
ejpam-6587	102	8	)	)	PUNCT
ejpam-6587	102	9	=	=	PUNCT
ejpam-6587	103	1	(	(	PUNCT
ejpam-6587	103	2	ℓ0	ℓ0	INTJ
ejpam-6587	103	3	+	+	CCONJ
ejpam-6587	103	4	ℓ2	ℓ2	PROPN
ejpam-6587	103	5	(	(	PUNCT
ejpam-6587	103	6	cn(kϖx−	cn(kϖx−	NOUN
ejpam-6587	103	7	kϖ	kϖ	PROPN
ejpam-6587	103	8	(	(	PUNCT
ejpam-6587	103	9	2ℓ2b1	2ℓ2b1	NOUN
ejpam-6587	103	10	3b2	3b2	NUM
ejpam-6587	104	1	+	+	CCONJ
ejpam-6587	104	2	ℓ0	ℓ0	ADV
ejpam-6587	104	3	)	)	PUNCT
ejpam-6587	105	1	∫	∫	PROPN
ejpam-6587	105	2	t	t	PROPN
ejpam-6587	105	3	0	0	NUM
ejpam-6587	105	4	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	105	5	1	1	NUM
ejpam-6587	105	6	2	2	NUM
ejpam-6587	105	7	σ2τdτ	σ2τdτ	NUM
ejpam-6587	105	8	,	,	PUNCT
ejpam-6587	105	9	m	m	NOUN
ejpam-6587	105	10	)	)	PUNCT
ejpam-6587	105	11	)	)	PUNCT
ejpam-6587	105	12	2	2	X
ejpam-6587	105	13	)	)	PUNCT
ejpam-6587	105	14	e−	e−	PUNCT
ejpam-6587	105	15	1	1	NUM
ejpam-6587	105	16	2	2	NUM
ejpam-6587	105	17	σ2	σ2	PROPN
ejpam-6587	105	18	t	t	PROPN
ejpam-6587	105	19	,	,	PUNCT
ejpam-6587	105	20	(	(	PUNCT
ejpam-6587	105	21	11	11	NUM
ejpam-6587	105	22	)	)	PUNCT
ejpam-6587	105	23	where	where	SCONJ
ejpam-6587	105	24	b1	b1	NOUN
ejpam-6587	105	25	=	=	SYM
ejpam-6587	105	26	ϖ2(1−	ϖ2(1−	PUNCT
ejpam-6587	105	27	2m2	2m2	NUM
ejpam-6587	105	28	)	)	PUNCT
ejpam-6587	105	29	and	and	CCONJ
ejpam-6587	105	30	b2	b2	NOUN
ejpam-6587	105	31	=	=	SYM
ejpam-6587	105	32	−2ϖ2m2	−2ϖ2m2	PROPN
ejpam-6587	105	33	.	.	PUNCT
ejpam-6587	106	1	set	set	VERB
ejpam-6587	106	2	3	3	NUM
ejpam-6587	106	3	:	:	PUNCT
ejpam-6587	106	4	when	when	SCONJ
ejpam-6587	106	5	j	j	PROPN
ejpam-6587	106	6	(	(	PUNCT
ejpam-6587	106	7	η	η	PROPN
ejpam-6587	106	8	)	)	PUNCT
ejpam-6587	106	9	=	=	SYM
ejpam-6587	106	10	dn(ϖη	dn(ϖη	PROPN
ejpam-6587	106	11	,	,	PUNCT
ejpam-6587	106	12	m	m	PROPN
ejpam-6587	106	13	)	)	PUNCT
ejpam-6587	106	14	,	,	PUNCT
ejpam-6587	106	15	then	then	ADV
ejpam-6587	106	16	eq	eq	ADP
ejpam-6587	106	17	.	.	PUNCT
ejpam-6587	107	1	(	(	PUNCT
ejpam-6587	107	2	9	9	X
ejpam-6587	107	3	)	)	PUNCT
ejpam-6587	107	4	becomes	become	VERB
ejpam-6587	107	5	v(x	v(x	PROPN
ejpam-6587	107	6	,	,	PUNCT
ejpam-6587	107	7	t	t	PROPN
ejpam-6587	107	8	)	)	PUNCT
ejpam-6587	107	9	=	=	PUNCT
ejpam-6587	108	1	(	(	PUNCT
ejpam-6587	108	2	ℓ0	ℓ0	INTJ
ejpam-6587	108	3	+	+	CCONJ
ejpam-6587	108	4	ℓ2	ℓ2	PROPN
ejpam-6587	108	5	(	(	PUNCT
ejpam-6587	108	6	dn(kϖx−	dn(kϖx−	NOUN
ejpam-6587	108	7	kϖ	kϖ	PROPN
ejpam-6587	108	8	(	(	PUNCT
ejpam-6587	108	9	2ℓ2b1	2ℓ2b1	NOUN
ejpam-6587	108	10	3b2	3b2	NUM
ejpam-6587	108	11	+	+	CCONJ
ejpam-6587	108	12	ℓ0	ℓ0	ADV
ejpam-6587	108	13	)	)	PUNCT
ejpam-6587	108	14	∫	∫	PROPN
ejpam-6587	109	1	t	t	PROPN
ejpam-6587	109	2	0	0	NUM
ejpam-6587	109	3	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	109	4	1	1	NUM
ejpam-6587	109	5	2	2	NUM
ejpam-6587	109	6	σ2τdτ	σ2τdτ	NUM
ejpam-6587	109	7	,	,	PUNCT
ejpam-6587	109	8	m	m	NOUN
ejpam-6587	109	9	)	)	PUNCT
ejpam-6587	109	10	)	)	PUNCT
ejpam-6587	110	1	2	2	X
ejpam-6587	110	2	)	)	PUNCT
ejpam-6587	110	3	e−	e−	PUNCT
ejpam-6587	110	4	1	1	NUM
ejpam-6587	110	5	2	2	NUM
ejpam-6587	110	6	σ2	σ2	PROPN
ejpam-6587	110	7	t	t	PROPN
ejpam-6587	110	8	,	,	PUNCT
ejpam-6587	110	9	(	(	PUNCT
ejpam-6587	110	10	12	12	NUM
ejpam-6587	110	11	)	)	PUNCT
ejpam-6587	111	1	where	where	SCONJ
ejpam-6587	111	2	b1	b1	NOUN
ejpam-6587	111	3	=	=	SYM
ejpam-6587	111	4	ϖ2(2−m2	ϖ2(2−m2	NOUN
ejpam-6587	111	5	)	)	PUNCT
ejpam-6587	111	6	and	and	CCONJ
ejpam-6587	111	7	b2	b2	NOUN
ejpam-6587	111	8	=	=	SYM
ejpam-6587	111	9	2ϖ2	2ϖ2	PROPN
ejpam-6587	111	10	.	.	PUNCT
ejpam-6587	112	1	2.2	2.2	NUM
ejpam-6587	112	2	.	.	PUNCT
ejpam-6587	112	3	grem	grem	NOUN
ejpam-6587	112	4	-	-	NOUN
ejpam-6587	112	5	method	method	NOUN
ejpam-6587	112	6	in	in	ADP
ejpam-6587	112	7	this	this	DET
ejpam-6587	112	8	subsection	subsection	NOUN
ejpam-6587	112	9	,	,	PUNCT
ejpam-6587	112	10	we	we	PRON
ejpam-6587	112	11	employ	employ	VERB
ejpam-6587	112	12	the	the	DET
ejpam-6587	112	13	grem	grem	NOUN
ejpam-6587	112	14	-	-	NOUN
ejpam-6587	112	15	method	method	NOUN
ejpam-6587	112	16	reported	report	VERB
ejpam-6587	112	17	in	in	ADP
ejpam-6587	112	18	[	[	X
ejpam-6587	112	19	20	20	NUM
ejpam-6587	112	20	]	]	PUNCT
ejpam-6587	112	21	to	to	PART
ejpam-6587	112	22	obtain	obtain	VERB
ejpam-6587	112	23	the	the	DET
ejpam-6587	112	24	kdvervc	kdvervc	NOUN
ejpam-6587	112	25	solutions	solution	NOUN
ejpam-6587	112	26	.	.	PUNCT
ejpam-6587	113	1	let	let	VERB
ejpam-6587	113	2	the	the	DET
ejpam-6587	113	3	solutions	solution	NOUN
ejpam-6587	113	4	of	of	ADP
ejpam-6587	113	5	eq	eq	PROPN
ejpam-6587	113	6	.	.	PUNCT
ejpam-6587	114	1	(	(	PUNCT
ejpam-6587	114	2	5	5	NUM
ejpam-6587	114	3	)	)	PUNCT
ejpam-6587	114	4	,	,	PUNCT
ejpam-6587	114	5	with	with	ADP
ejpam-6587	114	6	n	n	NOUN
ejpam-6587	114	7	=	=	SYM
ejpam-6587	114	8	2	2	NUM
ejpam-6587	114	9	,	,	PUNCT
ejpam-6587	114	10	take	take	VERB
ejpam-6587	114	11	the	the	DET
ejpam-6587	114	12	form	form	NOUN
ejpam-6587	114	13	v(x	v(x	PROPN
ejpam-6587	114	14	,	,	PUNCT
ejpam-6587	114	15	t	t	PROPN
ejpam-6587	114	16	)	)	PUNCT
ejpam-6587	114	17	=	=	SYM
ejpam-6587	115	1	α0(t	α0(t	PROPN
ejpam-6587	115	2	)	)	PUNCT
ejpam-6587	115	3	+	+	CCONJ
ejpam-6587	115	4	α1(t)x	α1(t)x	NUM
ejpam-6587	115	5	(	(	PUNCT
ejpam-6587	115	6	η	η	NOUN
ejpam-6587	115	7	)	)	PUNCT
ejpam-6587	115	8	+	+	CCONJ
ejpam-6587	115	9	α2(t)x	α2(t)x	NUM
ejpam-6587	115	10	2(η	2(η	NUM
ejpam-6587	115	11	)	)	PUNCT
ejpam-6587	115	12	,	,	PUNCT
ejpam-6587	115	13	(	(	PUNCT
ejpam-6587	115	14	13	13	NUM
ejpam-6587	115	15	)	)	PUNCT
ejpam-6587	116	1	where	where	SCONJ
ejpam-6587	116	2	x	x	X
ejpam-6587	116	3	′	′	NOUN
ejpam-6587	116	4	=	=	SYM
ejpam-6587	116	5	sx	sx	PROPN
ejpam-6587	116	6	2	2	NUM
ejpam-6587	116	7	+	+	CCONJ
ejpam-6587	116	8	rx	rx	ADJ
ejpam-6587	116	9	+	+	CCONJ
ejpam-6587	117	1	p.	p.	NOUN
ejpam-6587	117	2	(	(	PUNCT
ejpam-6587	117	3	14	14	NUM
ejpam-6587	117	4	)	)	PUNCT
ejpam-6587	117	5	differentiating	differentiate	VERB
ejpam-6587	117	6	eq	eq	NOUN
ejpam-6587	117	7	.	.	PUNCT
ejpam-6587	118	1	(	(	PUNCT
ejpam-6587	118	2	13	13	NUM
ejpam-6587	118	3	)	)	PUNCT
ejpam-6587	118	4	with	with	ADP
ejpam-6587	118	5	regards	regard	NOUN
ejpam-6587	118	6	to	to	ADP
ejpam-6587	118	7	x	x	PROPN
ejpam-6587	118	8	and	and	CCONJ
ejpam-6587	118	9	t	t	PROPN
ejpam-6587	118	10	,	,	PUNCT
ejpam-6587	118	11	we	we	PRON
ejpam-6587	118	12	attain	attain	VERB
ejpam-6587	118	13	vt	vt	PROPN
ejpam-6587	118	14	=	=	SYM
ejpam-6587	118	15	(	(	PUNCT
ejpam-6587	118	16	·	·	PUNCT
ejpam-6587	118	17	α0	α0	ADJ
ejpam-6587	118	18	+	+	CCONJ
ejpam-6587	118	19	pα1λ	pα1λ	PROPN
ejpam-6587	118	20	)	)	PUNCT
ejpam-6587	118	21	+	+	CCONJ
ejpam-6587	118	22	(	(	PUNCT
ejpam-6587	118	23	·	·	PUNCT
ejpam-6587	118	24	α1	α1	PROPN
ejpam-6587	118	25	+	+	CCONJ
ejpam-6587	118	26	α1rλ+	α1rλ+	PROPN
ejpam-6587	118	27	2pλα2)x	2pλα2)x	NUM
ejpam-6587	119	1	+	+	NOUN
ejpam-6587	119	2	(	(	PUNCT
ejpam-6587	119	3	sλα1	sλα1	NOUN
ejpam-6587	119	4	+	+	CCONJ
ejpam-6587	119	5	·	·	PUNCT
ejpam-6587	119	6	α2	α2	ADJ
ejpam-6587	119	7	+	+	CCONJ
ejpam-6587	119	8	2λrα2)x	2λrα2)x	NUM
ejpam-6587	119	9	2	2	NUM
ejpam-6587	119	10	+	+	CCONJ
ejpam-6587	119	11	2sλα2x	2sλα2x	NUM
ejpam-6587	119	12	3	3	NUM
ejpam-6587	119	13	,	,	PUNCT
ejpam-6587	119	14	vx	vx	PROPN
ejpam-6587	119	15	=	=	SYM
ejpam-6587	119	16	k[2sα2x	k[2sα2x	PROPN
ejpam-6587	119	17	3	3	NUM
ejpam-6587	119	18	+	+	CCONJ
ejpam-6587	119	19	(	(	PUNCT
ejpam-6587	119	20	sα1	sα1	NOUN
ejpam-6587	119	21	+	+	CCONJ
ejpam-6587	119	22	2rα2)x	2rα2)x	NUM
ejpam-6587	119	23	2	2	NUM
ejpam-6587	119	24	+	+	CCONJ
ejpam-6587	119	25	(	(	PUNCT
ejpam-6587	119	26	rα1	rα1	ADJ
ejpam-6587	119	27	+	+	CCONJ
ejpam-6587	119	28	2pα2)x	2pα2)x	NUM
ejpam-6587	119	29	+	+	CCONJ
ejpam-6587	119	30	pα1	pα1	NOUN
ejpam-6587	119	31	]	]	X
ejpam-6587	119	32	,	,	PUNCT
ejpam-6587	119	33	vxxx	vxxx	PROPN
ejpam-6587	119	34	=	=	PUNCT
ejpam-6587	119	35	k3[24α2s	k3[24α2s	PROPN
ejpam-6587	119	36	3x	3x	NUM
ejpam-6587	119	37	5	5	NUM
ejpam-6587	119	38	+	+	CCONJ
ejpam-6587	119	39	(	(	PUNCT
ejpam-6587	119	40	6s3α1	6s3α1	NUM
ejpam-6587	119	41	+	+	NUM
ejpam-6587	119	42	54rs2α2)x	54rs2α2)x	NUM
ejpam-6587	119	43	4	4	NUM
ejpam-6587	119	44	+	+	ADJ
ejpam-6587	119	45	(	(	PUNCT
ejpam-6587	119	46	12rs2α1	12rs2α1	NUM
ejpam-6587	119	47	+	+	NOUN
ejpam-6587	119	48	48ps2α2	48ps2α2	NUM
ejpam-6587	119	49	+	+	NOUN
ejpam-6587	119	50	32sr2α2)x	32sr2α2)x	NUM
ejpam-6587	119	51	3	3	NUM
ejpam-6587	119	52	+	+	ADJ
ejpam-6587	119	53	(	(	PUNCT
ejpam-6587	119	54	7r2sα1	7r2sα1	NUM
ejpam-6587	119	55	+	+	CCONJ
ejpam-6587	119	56	8ps2α1	8ps2α1	NUM
ejpam-6587	119	57	+	+	CCONJ
ejpam-6587	119	58	50rpsα2	50rpsα2	NUM
ejpam-6587	119	59	+	+	CCONJ
ejpam-6587	119	60	8r3α2)x	8r3α2)x	NOUN
ejpam-6587	119	61	2	2	NUM
ejpam-6587	119	62	+	+	NOUN
ejpam-6587	119	63	(	(	PUNCT
ejpam-6587	119	64	r3α1	r3α1	X
ejpam-6587	119	65	+	+	NUM
ejpam-6587	119	66	8rpsα1	8rpsα1	NUM
ejpam-6587	119	67	+	+	CCONJ
ejpam-6587	119	68	14pr2α2)x	14pr2α2)x	NUM
ejpam-6587	119	69	+	+	ADJ
ejpam-6587	119	70	(	(	PUNCT
ejpam-6587	119	71	pr2α1	pr2α1	PROPN
ejpam-6587	119	72	+	+	PROPN
ejpam-6587	119	73	2p2sα1	2p2sα1	NUM
ejpam-6587	119	74	+	+	CCONJ
ejpam-6587	119	75	6p2rα2	6p2rα2	NUM
ejpam-6587	119	76	)	)	PUNCT
ejpam-6587	119	77	]	]	PUNCT
ejpam-6587	119	78	,	,	PUNCT
ejpam-6587	119	79	vvx	vvx	PROPN
ejpam-6587	119	80	=	=	PUNCT
ejpam-6587	119	81	k[2sα2	k[2sα2	X
ejpam-6587	119	82	2x	2x	NUM
ejpam-6587	119	83	5	5	NUM
ejpam-6587	119	84	+	+	CCONJ
ejpam-6587	119	85	(	(	PUNCT
ejpam-6587	119	86	sα1α2	sα1α2	PROPN
ejpam-6587	119	87	+	+	CCONJ
ejpam-6587	119	88	2rα2	2rα2	NUM
ejpam-6587	119	89	2)x	2)x	NUM
ejpam-6587	119	90	4	4	NUM
ejpam-6587	119	91	+	+	CCONJ
ejpam-6587	119	92	(	(	PUNCT
ejpam-6587	119	93	15	15	NUM
ejpam-6587	119	94	)	)	PUNCT
ejpam-6587	119	95	(	(	PUNCT
ejpam-6587	119	96	2sα0α2	2sα0α2	NUM
ejpam-6587	119	97	+	+	CCONJ
ejpam-6587	119	98	sα2	sα2	X
ejpam-6587	119	99	1	1	NUM
ejpam-6587	119	100	+	+	CCONJ
ejpam-6587	119	101	3rα1α2	3rα1α2	NUM
ejpam-6587	119	102	+	+	CCONJ
ejpam-6587	119	103	2pα2	2pα2	NUM
ejpam-6587	119	104	2)x	2)x	NUM
ejpam-6587	119	105	3	3	NUM
ejpam-6587	119	106	+	+	NOUN
ejpam-6587	119	107	(	(	PUNCT
ejpam-6587	119	108	sα0α1	sα0α1	VERB
ejpam-6587	119	109	+	+	CCONJ
ejpam-6587	119	110	2rα0α2	2rα0α2	NUM
ejpam-6587	119	111	+	+	CCONJ
ejpam-6587	119	112	rα2	rα2	NOUN
ejpam-6587	119	113	1	1	NUM
ejpam-6587	119	114	+	+	CCONJ
ejpam-6587	119	115	3pα2α1)x	3pα2α1)x	NUM
ejpam-6587	119	116	2	2	NUM
ejpam-6587	119	117	+	+	NOUN
ejpam-6587	119	118	(	(	PUNCT
ejpam-6587	119	119	rα0α1	rα0α1	PROPN
ejpam-6587	119	120	+	+	NUM
ejpam-6587	119	121	2pα0α2	2pα0α2	NUM
ejpam-6587	119	122	+	+	CCONJ
ejpam-6587	119	123	pα2	pα2	NOUN
ejpam-6587	119	124	0)x	0)x	NOUN
ejpam-6587	119	125	+	+	CCONJ
ejpam-6587	119	126	pα0α1	pα0α1	NOUN
ejpam-6587	119	127	]	]	PUNCT
ejpam-6587	119	128	.	.	PUNCT
ejpam-6587	120	1	plugging	plug	VERB
ejpam-6587	120	2	eqs	eqs	PROPN
ejpam-6587	120	3	.	.	PUNCT
ejpam-6587	121	1	(	(	PUNCT
ejpam-6587	121	2	13	13	NUM
ejpam-6587	121	3	)	)	PUNCT
ejpam-6587	121	4	and	and	CCONJ
ejpam-6587	121	5	(	(	PUNCT
ejpam-6587	121	6	15	15	NUM
ejpam-6587	121	7	)	)	PUNCT
ejpam-6587	121	8	into	into	ADP
ejpam-6587	121	9	eq	eq	NOUN
ejpam-6587	121	10	.	.	PUNCT
ejpam-6587	122	1	(	(	PUNCT
ejpam-6587	122	2	5	5	NUM
ejpam-6587	122	3	)	)	PUNCT
ejpam-6587	122	4	,	,	PUNCT
ejpam-6587	122	5	we	we	PRON
ejpam-6587	122	6	have	have	VERB
ejpam-6587	122	7	the	the	DET
ejpam-6587	122	8	following	follow	VERB
ejpam-6587	122	9	polynomial	polynomial	NOUN
ejpam-6587	122	10	of	of	ADP
ejpam-6587	122	11	degree	degree	NOUN
ejpam-6587	122	12	5	5	NUM
ejpam-6587	122	13	in	in	ADP
ejpam-6587	122	14	x	x	X
ejpam-6587	122	15	:	:	PUNCT
ejpam-6587	123	1	[	[	X
ejpam-6587	123	2	24bk3s3α2	24bk3s3α2	NUM
ejpam-6587	123	3	+	+	NUM
ejpam-6587	123	4	2aksα2	2aksα2	NUM
ejpam-6587	123	5	2]x	2]x	NUM
ejpam-6587	123	6	5	5	NUM
ejpam-6587	123	7	a.	a.	NOUN
ejpam-6587	123	8	alshuhail	alshuhail	NOUN
ejpam-6587	123	9	et	et	PROPN
ejpam-6587	123	10	al	al	PROPN
ejpam-6587	123	11	.	.	PUNCT
ejpam-6587	123	12	/	/	SYM
ejpam-6587	123	13	eur	eur	PROPN
ejpam-6587	123	14	.	.	PUNCT
ejpam-6587	124	1	j.	j.	PROPN
ejpam-6587	124	2	pure	pure	PROPN
ejpam-6587	124	3	appl	appl	PROPN
ejpam-6587	124	4	.	.	PROPN
ejpam-6587	124	5	math	math	PROPN
ejpam-6587	124	6	,	,	PUNCT
ejpam-6587	124	7	18	18	NUM
ejpam-6587	124	8	(	(	PUNCT
ejpam-6587	124	9	4	4	NUM
ejpam-6587	124	10	)	)	PUNCT
ejpam-6587	124	11	(	(	PUNCT
ejpam-6587	124	12	2025	2025	NUM
ejpam-6587	124	13	)	)	PUNCT
ejpam-6587	124	14	,	,	PUNCT
ejpam-6587	124	15	6587	6587	NUM
ejpam-6587	124	16	6	6	NUM
ejpam-6587	124	17	of	of	ADP
ejpam-6587	124	18	16	16	NUM
ejpam-6587	125	1	+	+	PROPN
ejpam-6587	125	2	[	[	X
ejpam-6587	125	3	skaα1α2	skaα1α2	PRON
ejpam-6587	125	4	+	+	CCONJ
ejpam-6587	125	5	2karα2	2karα2	NUM
ejpam-6587	125	6	2	2	NUM
ejpam-6587	125	7	+	+	CCONJ
ejpam-6587	125	8	6bk3s3α1	6bk3s3α1	NUM
ejpam-6587	125	9	+	+	CCONJ
ejpam-6587	125	10	54bk3rs2α2]x	54bk3rs2α2]x	PRON
ejpam-6587	125	11	4	4	NUM
ejpam-6587	126	1	+	+	NOUN
ejpam-6587	126	2	[	[	X
ejpam-6587	126	3	2λsα2	2λsα2	NUM
ejpam-6587	126	4	+	+	NOUN
ejpam-6587	126	5	12rbk3s2α1	12rbk3s2α1	NUM
ejpam-6587	126	6	+	+	CCONJ
ejpam-6587	126	7	48pbk3s2α2	48pbk3s2α2	NUM
ejpam-6587	127	1	+	+	CCONJ
ejpam-6587	127	2	32sbk3r2α2	32sbk3r2α2	NUM
ejpam-6587	127	3	+	+	CCONJ
ejpam-6587	127	4	2skaα0α2	2skaα0α2	ADJ
ejpam-6587	128	1	+	+	ADJ
ejpam-6587	128	2	skaα2	skaα2	NOUN
ejpam-6587	128	3	1	1	NUM
ejpam-6587	128	4	+	+	NUM
ejpam-6587	128	5	3rkaα1α2	3rkaα1α2	NUM
ejpam-6587	128	6	+	+	NOUN
ejpam-6587	128	7	2kapα2	2kapα2	NUM
ejpam-6587	128	8	2]x	2]x	NOUN
ejpam-6587	128	9	3	3	NUM
ejpam-6587	129	1	+	+	NOUN
ejpam-6587	129	2	[	[	X
ejpam-6587	129	3	sλα1	sλα1	NOUN
ejpam-6587	129	4	+	+	CCONJ
ejpam-6587	129	5	·	·	PUNCT
ejpam-6587	129	6	α2	α2	ADJ
ejpam-6587	129	7	+	+	CCONJ
ejpam-6587	129	8	2rα2	2rα2	NUM
ejpam-6587	130	1	+	+	CCONJ
ejpam-6587	130	2	7bk3r2sα1	7bk3r2sα1	NUM
ejpam-6587	130	3	+	+	CCONJ
ejpam-6587	130	4	8pbk3s2α1	8pbk3s2α1	NUM
ejpam-6587	130	5	+	+	CCONJ
ejpam-6587	130	6	50rpsbk3α2	50rpsbk3α2	NUM
ejpam-6587	131	1	+	+	NUM
ejpam-6587	131	2	8bk3r3α2	8bk3r3α2	NUM
ejpam-6587	132	1	+	+	NOUN
ejpam-6587	132	2	skaα0α1	skaα0α1	NOUN
ejpam-6587	132	3	+	+	CCONJ
ejpam-6587	132	4	2rkaα0α2	2rkaα0α2	NUM
ejpam-6587	132	5	+	+	CCONJ
ejpam-6587	132	6	rkaα2	rkaα2	NOUN
ejpam-6587	132	7	1	1	NUM
ejpam-6587	132	8	+	+	CCONJ
ejpam-6587	132	9	3kapα2α1	3kapα2α1	NUM
ejpam-6587	132	10	+	+	CCONJ
ejpam-6587	132	11	1	1	NUM
ejpam-6587	132	12	2	2	NUM
ejpam-6587	132	13	σ2α2]x	σ2α2]x	NOUN
ejpam-6587	132	14	2	2	NUM
ejpam-6587	132	15	+	+	NOUN
ejpam-6587	132	16	[	[	PUNCT
ejpam-6587	132	17	·	·	PUNCT
ejpam-6587	132	18	α1	α1	PROPN
ejpam-6587	132	19	+	+	CCONJ
ejpam-6587	132	20	α1rλ+	α1rλ+	PROPN
ejpam-6587	132	21	2pλα2	2pλα2	NUM
ejpam-6587	132	22	+	+	CCONJ
ejpam-6587	133	1	bk3r3α1	bk3r3α1	NUM
ejpam-6587	133	2	+	+	NUM
ejpam-6587	133	3	8rpsbk3α1	8rpsbk3α1	NUM
ejpam-6587	134	1	+	+	SYM
ejpam-6587	134	2	14pbk3r2α2	14pbk3r2α2	NUM
ejpam-6587	134	3	+	+	ADJ
ejpam-6587	134	4	rkaα0α1	rkaα0α1	X
ejpam-6587	134	5	+	+	CCONJ
ejpam-6587	134	6	2pkaα0α2	2pkaα0α2	ADJ
ejpam-6587	134	7	+	+	CCONJ
ejpam-6587	134	8	pkaα2	pkaα2	NOUN
ejpam-6587	134	9	0	0	NUM
ejpam-6587	135	1	+	+	CCONJ
ejpam-6587	135	2	1	1	NUM
ejpam-6587	135	3	2	2	NUM
ejpam-6587	135	4	σ2α1]x	σ2α1]x	NOUN
ejpam-6587	135	5	+	+	NOUN
ejpam-6587	135	6	[	[	PUNCT
ejpam-6587	135	7	·	·	PUNCT
ejpam-6587	135	8	α0	α0	ADJ
ejpam-6587	135	9	+	+	CCONJ
ejpam-6587	135	10	pα1λ+	pα1λ+	PROPN
ejpam-6587	135	11	pbk3r2α1	pbk3r2α1	NOUN
ejpam-6587	135	12	+	+	CCONJ
ejpam-6587	135	13	2bsk3p2α1	2bsk3p2α1	NUM
ejpam-6587	135	14	+	+	CCONJ
ejpam-6587	135	15	6rbk3p2α2	6rbk3p2α2	PROPN
ejpam-6587	135	16	+	+	NUM
ejpam-6587	135	17	pkaα0α1	pkaα0α1	NOUN
ejpam-6587	136	1	+	+	CCONJ
ejpam-6587	136	2	1	1	NUM
ejpam-6587	136	3	2	2	NUM
ejpam-6587	136	4	σ2α0	σ2α0	NOUN
ejpam-6587	136	5	]	]	PUNCT
ejpam-6587	136	6	=	=	SYM
ejpam-6587	136	7	0	0	X
ejpam-6587	136	8	.	.	PUNCT
ejpam-6587	137	1	after	after	ADP
ejpam-6587	137	2	putting	put	VERB
ejpam-6587	137	3	each	each	DET
ejpam-6587	137	4	coefficient	coefficient	NOUN
ejpam-6587	137	5	of	of	ADP
ejpam-6587	137	6	x	x	PROPN
ejpam-6587	137	7	k	k	NOUN
ejpam-6587	137	8	to	to	ADP
ejpam-6587	137	9	zero	zero	NUM
ejpam-6587	137	10	,	,	PUNCT
ejpam-6587	137	11	we	we	PRON
ejpam-6587	137	12	attain	attain	VERB
ejpam-6587	137	13	24bk3s3α2	24bk3s3α2	NUM
ejpam-6587	137	14	+	+	CCONJ
ejpam-6587	137	15	2aksα2	2aksα2	NUM
ejpam-6587	137	16	2	2	NUM
ejpam-6587	137	17	=	=	SYM
ejpam-6587	137	18	0	0	NUM
ejpam-6587	137	19	,	,	PUNCT
ejpam-6587	137	20	skaα1α2	skaα1α2	PRON
ejpam-6587	137	21	+	+	CCONJ
ejpam-6587	137	22	2karα2	2karα2	NUM
ejpam-6587	137	23	2	2	NUM
ejpam-6587	137	24	+	+	CCONJ
ejpam-6587	137	25	6bk3s3α1	6bk3s3α1	NUM
ejpam-6587	137	26	+	+	NUM
ejpam-6587	137	27	54bk3rs2α2	54bk3rs2α2	NOUN
ejpam-6587	137	28	=	=	SYM
ejpam-6587	137	29	0	0	NUM
ejpam-6587	137	30	,	,	PUNCT
ejpam-6587	137	31	2sα2	2sα2	NUM
ejpam-6587	137	32	+	+	CCONJ
ejpam-6587	137	33	12rbk3s2α1	12rbk3s2α1	NUM
ejpam-6587	137	34	+	+	CCONJ
ejpam-6587	137	35	48pbk3s2α2	48pbk3s2α2	NUM
ejpam-6587	138	1	+	+	CCONJ
ejpam-6587	138	2	32sbk3r2α2	32sbk3r2α2	NUM
ejpam-6587	139	1	+2skaα0α2	+2skaα0α2	ADV
ejpam-6587	139	2	+	+	NUM
ejpam-6587	139	3	skaα2	skaα2	NOUN
ejpam-6587	139	4	1	1	NUM
ejpam-6587	139	5	+	+	CCONJ
ejpam-6587	139	6	3rkaα1α2	3rkaα1α2	NUM
ejpam-6587	140	1	+	+	CCONJ
ejpam-6587	140	2	2kapα2	2kapα2	NUM
ejpam-6587	140	3	2	2	NUM
ejpam-6587	140	4	=	=	SYM
ejpam-6587	140	5	0	0	NUM
ejpam-6587	140	6	,	,	PUNCT
ejpam-6587	140	7	sλα1	sλα1	NOUN
ejpam-6587	140	8	+	+	CCONJ
ejpam-6587	140	9	·	·	PUNCT
ejpam-6587	140	10	α2	α2	ADJ
ejpam-6587	140	11	+	+	CCONJ
ejpam-6587	140	12	2rα2	2rα2	NUM
ejpam-6587	140	13	+	+	CCONJ
ejpam-6587	140	14	7bk3r2sα1	7bk3r2sα1	NUM
ejpam-6587	141	1	+	+	CCONJ
ejpam-6587	141	2	8pbk3s2α1	8pbk3s2α1	NUM
ejpam-6587	141	3	+	+	CCONJ
ejpam-6587	141	4	50rpsbk3α2	50rpsbk3α2	NUM
ejpam-6587	141	5	+8bk3r3α2	+8bk3r3α2	NOUN
ejpam-6587	141	6	+	+	X
ejpam-6587	141	7	skaα0α1	skaα0α1	NOUN
ejpam-6587	141	8	+	+	CCONJ
ejpam-6587	141	9	2rkaα0α2	2rkaα0α2	NUM
ejpam-6587	141	10	+	+	CCONJ
ejpam-6587	141	11	rkaα2	rkaα2	NOUN
ejpam-6587	141	12	1	1	NUM
ejpam-6587	142	1	+	+	CCONJ
ejpam-6587	142	2	3kapα2α1	3kapα2α1	NUM
ejpam-6587	142	3	+	+	SYM
ejpam-6587	142	4	1	1	NUM
ejpam-6587	142	5	2σ	2σ	NOUN
ejpam-6587	142	6	2α2	2α2	NUM
ejpam-6587	142	7	=	=	SYM
ejpam-6587	142	8	0	0	NUM
ejpam-6587	142	9	,	,	PUNCT
ejpam-6587	142	10	·	·	PUNCT
ejpam-6587	142	11	α1	α1	PROPN
ejpam-6587	142	12	+	+	CCONJ
ejpam-6587	142	13	α1rλ+	α1rλ+	PROPN
ejpam-6587	142	14	2pα2	2pα2	NUM
ejpam-6587	142	15	+	+	CCONJ
ejpam-6587	142	16	bk3r3α1	bk3r3α1	NUM
ejpam-6587	142	17	+	+	NUM
ejpam-6587	142	18	8rpsbk3α1	8rpsbk3α1	NUM
ejpam-6587	143	1	+	+	SYM
ejpam-6587	143	2	14pbk3r2α2	14pbk3r2α2	NUM
ejpam-6587	143	3	+	+	ADJ
ejpam-6587	143	4	rkaα0α1	rkaα0α1	X
ejpam-6587	143	5	+	+	CCONJ
ejpam-6587	143	6	2pkaα0α2	2pkaα0α2	ADJ
ejpam-6587	143	7	+	+	CCONJ
ejpam-6587	143	8	pkaα2	pkaα2	NOUN
ejpam-6587	143	9	1	1	NUM
ejpam-6587	143	10	+	+	SYM
ejpam-6587	143	11	1	1	NUM
ejpam-6587	143	12	2σ	2σ	NUM
ejpam-6587	143	13	2α1	2α1	NUM
ejpam-6587	143	14	=	=	SYM
ejpam-6587	143	15	0	0	NUM
ejpam-6587	143	16	,	,	PUNCT
ejpam-6587	143	17	and	and	CCONJ
ejpam-6587	143	18	·	·	PUNCT
ejpam-6587	143	19	α0	α0	ADJ
ejpam-6587	143	20	+	+	CCONJ
ejpam-6587	143	21	pα1λ+	pα1λ+	PROPN
ejpam-6587	143	22	pbk3r2α1	pbk3r2α1	NOUN
ejpam-6587	143	23	+	+	CCONJ
ejpam-6587	143	24	2bsk3p2α1	2bsk3p2α1	NUM
ejpam-6587	143	25	+6rbk3p2α1	+6rbk3p2α1	NOUN
ejpam-6587	143	26	+	+	CCONJ
ejpam-6587	143	27	pkaα0α1	pkaα0α1	NOUN
ejpam-6587	143	28	+	+	CCONJ
ejpam-6587	143	29	1	1	NUM
ejpam-6587	143	30	2σ	2σ	NUM
ejpam-6587	143	31	2α0	2α0	NUM
ejpam-6587	143	32	=	=	SYM
ejpam-6587	143	33	0	0	X
ejpam-6587	143	34	.	.	PUNCT
ejpam-6587	144	1	solving	solve	VERB
ejpam-6587	144	2	these	these	DET
ejpam-6587	144	3	equations	equation	NOUN
ejpam-6587	144	4	yields	yield	VERB
ejpam-6587	144	5	α0(t	α0(t	NUM
ejpam-6587	144	6	)	)	PUNCT
ejpam-6587	144	7	=	=	PUNCT
ejpam-6587	145	1	ℓ0e	ℓ0e	PROPN
ejpam-6587	145	2	−	−	NUM
ejpam-6587	145	3	1	1	NUM
ejpam-6587	145	4	2	2	NUM
ejpam-6587	145	5	σ2	σ2	PROPN
ejpam-6587	145	6	t	t	PROPN
ejpam-6587	145	7	,	,	PUNCT
ejpam-6587	145	8	α1	α1	PROPN
ejpam-6587	145	9	=	=	SYM
ejpam-6587	145	10	r	r	NOUN
ejpam-6587	145	11	=	=	SYM
ejpam-6587	145	12	0	0	NUM
ejpam-6587	145	13	,	,	PUNCT
ejpam-6587	145	14	α2	α2	NOUN
ejpam-6587	145	15	=	=	PUNCT
ejpam-6587	146	1	ℓ2e	ℓ2e	NOUN
ejpam-6587	146	2	−	−	NUM
ejpam-6587	146	3	1	1	NUM
ejpam-6587	146	4	2	2	NUM
ejpam-6587	146	5	σ2	σ2	PROPN
ejpam-6587	146	6	t	t	PROPN
ejpam-6587	146	7	,	,	PUNCT
ejpam-6587	146	8	b	b	X
ejpam-6587	146	9	=	=	SYM
ejpam-6587	146	10	−aℓ2	−aℓ2	NOUN
ejpam-6587	146	11	12k2s2	12k2s2	NOUN
ejpam-6587	146	12	e−	e−	PROPN
ejpam-6587	146	13	1	1	NUM
ejpam-6587	146	14	2	2	NUM
ejpam-6587	146	15	σ2	σ2	PROPN
ejpam-6587	146	16	t	t	PROPN
ejpam-6587	146	17	,	,	PUNCT
ejpam-6587	146	18	and	and	CCONJ
ejpam-6587	146	19	λ(t	λ(t	NOUN
ejpam-6587	146	20	)	)	PUNCT
ejpam-6587	146	21	=	=	VERB
ejpam-6587	147	1	−akℓ0e	−akℓ0e	ADJ
ejpam-6587	147	2	σb(t)−	σb(t)−	NOUN
ejpam-6587	147	3	1	1	NUM
ejpam-6587	147	4	2	2	NUM
ejpam-6587	147	5	σ2	σ2	PROPN
ejpam-6587	147	6	t	t	PROPN
ejpam-6587	147	7	,	,	PUNCT
ejpam-6587	147	8	where	where	SCONJ
ejpam-6587	147	9	ℓ0	ℓ0	PROPN
ejpam-6587	147	10	and	and	CCONJ
ejpam-6587	147	11	ℓ2	ℓ2	NOUN
ejpam-6587	147	12	are	be	AUX
ejpam-6587	147	13	constants	constant	NOUN
ejpam-6587	147	14	.	.	PUNCT
ejpam-6587	148	1	therefore	therefore	ADV
ejpam-6587	148	2	,	,	PUNCT
ejpam-6587	148	3	by	by	ADP
ejpam-6587	148	4	using	use	VERB
ejpam-6587	148	5	eq	eq	ADP
ejpam-6587	148	6	.	.	PUNCT
ejpam-6587	149	1	(	(	PUNCT
ejpam-6587	149	2	13	13	NUM
ejpam-6587	149	3	)	)	PUNCT
ejpam-6587	149	4	,	,	PUNCT
ejpam-6587	149	5	the	the	DET
ejpam-6587	149	6	solution	solution	NOUN
ejpam-6587	149	7	of	of	ADP
ejpam-6587	149	8	kdve	kdve	PROPN
ejpam-6587	149	9	-	-	PUNCT
ejpam-6587	149	10	rvcs	rvcs	PROPN
ejpam-6587	149	11	(	(	PUNCT
ejpam-6587	149	12	5	5	NUM
ejpam-6587	149	13	)	)	PUNCT
ejpam-6587	149	14	takes	take	VERB
ejpam-6587	149	15	the	the	DET
ejpam-6587	149	16	form	form	NOUN
ejpam-6587	149	17	v(x	v(x	PROPN
ejpam-6587	149	18	,	,	PUNCT
ejpam-6587	149	19	t	t	PROPN
ejpam-6587	149	20	)	)	PUNCT
ejpam-6587	149	21	=	=	PUNCT
ejpam-6587	150	1	(	(	PUNCT
ejpam-6587	150	2	ℓ0	ℓ0	INTJ
ejpam-6587	150	3	+	+	CCONJ
ejpam-6587	150	4	ℓ2x	ℓ2x	NOUN
ejpam-6587	150	5	2(η))e−	2(η))e−	NOUN
ejpam-6587	150	6	1	1	NUM
ejpam-6587	150	7	2	2	NUM
ejpam-6587	150	8	σ2	σ2	PROPN
ejpam-6587	150	9	t	t	PROPN
ejpam-6587	150	10	,	,	PUNCT
ejpam-6587	150	11	η	η	PROPN
ejpam-6587	150	12	=	=	PROPN
ejpam-6587	150	13	kx−	kx−	PROPN
ejpam-6587	150	14	akℓ0	akℓ0	PROPN
ejpam-6587	150	15	∫	∫	PROPN
ejpam-6587	150	16	t	t	PROPN
ejpam-6587	150	17	0	0	NUM
ejpam-6587	150	18	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	150	19	1	1	NUM
ejpam-6587	150	20	2	2	NUM
ejpam-6587	150	21	σ2τdτ	σ2τdτ	NOUN
ejpam-6587	150	22	.	.	PUNCT
ejpam-6587	151	1	(	(	PUNCT
ejpam-6587	151	2	16	16	NUM
ejpam-6587	151	3	)	)	PUNCT
ejpam-6587	151	4	a.	a.	NOUN
ejpam-6587	151	5	alshuhail	alshuhail	NOUN
ejpam-6587	151	6	et	et	PROPN
ejpam-6587	151	7	al	al	PROPN
ejpam-6587	151	8	.	.	PUNCT
ejpam-6587	151	9	/	/	SYM
ejpam-6587	151	10	eur	eur	PROPN
ejpam-6587	151	11	.	.	PUNCT
ejpam-6587	152	1	j.	j.	PROPN
ejpam-6587	152	2	pure	pure	PROPN
ejpam-6587	152	3	appl	appl	PROPN
ejpam-6587	152	4	.	.	PROPN
ejpam-6587	152	5	math	math	PROPN
ejpam-6587	152	6	,	,	PUNCT
ejpam-6587	152	7	18	18	NUM
ejpam-6587	152	8	(	(	PUNCT
ejpam-6587	152	9	4	4	NUM
ejpam-6587	152	10	)	)	PUNCT
ejpam-6587	152	11	(	(	PUNCT
ejpam-6587	152	12	2025	2025	NUM
ejpam-6587	152	13	)	)	PUNCT
ejpam-6587	152	14	,	,	PUNCT
ejpam-6587	152	15	6587	6587	NUM
ejpam-6587	152	16	7	7	NUM
ejpam-6587	152	17	of	of	ADP
ejpam-6587	152	18	16	16	NUM
ejpam-6587	152	19	to	to	PART
ejpam-6587	152	20	find	find	VERB
ejpam-6587	152	21	x	x	PUNCT
ejpam-6587	152	22	,	,	PUNCT
ejpam-6587	152	23	there	there	PRON
ejpam-6587	152	24	are	be	VERB
ejpam-6587	152	25	many	many	ADJ
ejpam-6587	152	26	families	family	NOUN
ejpam-6587	152	27	for	for	ADP
ejpam-6587	152	28	the	the	DET
ejpam-6587	152	29	solutions	solution	NOUN
ejpam-6587	152	30	of	of	ADP
ejpam-6587	152	31	eq	eq	PROPN
ejpam-6587	152	32	.	.	PUNCT
ejpam-6587	153	1	(	(	PUNCT
ejpam-6587	153	2	14	14	NUM
ejpam-6587	153	3	)	)	PUNCT
ejpam-6587	153	4	relaying	relay	VERB
ejpam-6587	153	5	on	on	ADP
ejpam-6587	153	6	s	s	PRON
ejpam-6587	153	7	and	and	CCONJ
ejpam-6587	154	1	p	p	X
ejpam-6587	154	2	:	:	PUNCT
ejpam-6587	154	3	family	family	NOUN
ejpam-6587	154	4	i	i	PRON
ejpam-6587	154	5	:	:	PUNCT
ejpam-6587	154	6	if	if	SCONJ
ejpam-6587	154	7	sp	sp	ADP
ejpam-6587	154	8	>	>	X
ejpam-6587	154	9	0	0	NUM
ejpam-6587	154	10	,	,	PUNCT
ejpam-6587	154	11	then	then	ADV
ejpam-6587	154	12	the	the	DET
ejpam-6587	154	13	solutions	solution	NOUN
ejpam-6587	154	14	of	of	ADP
ejpam-6587	154	15	eq	eq	PROPN
ejpam-6587	154	16	.	.	PUNCT
ejpam-6587	155	1	(	(	PUNCT
ejpam-6587	155	2	14	14	NUM
ejpam-6587	155	3	)	)	PUNCT
ejpam-6587	155	4	are	be	AUX
ejpam-6587	155	5	x1(η	x1(η	PRON
ejpam-6587	155	6	)	)	PUNCT
ejpam-6587	155	7	=	=	PUNCT
ejpam-6587	156	1	√	√	PROPN
ejpam-6587	156	2	p	p	NOUN
ejpam-6587	156	3	s	s	PROPN
ejpam-6587	156	4	tan	tan	PROPN
ejpam-6587	156	5	(	(	PUNCT
ejpam-6587	156	6	√	√	ADP
ejpam-6587	156	7	psη	psη	NOUN
ejpam-6587	156	8	)	)	PUNCT
ejpam-6587	156	9	,	,	PUNCT
ejpam-6587	156	10	x2(η	x2(η	X
ejpam-6587	156	11	)	)	PUNCT
ejpam-6587	156	12	=	=	SYM
ejpam-6587	157	1	−	−	PROPN
ejpam-6587	157	2	√	√	NUM
ejpam-6587	157	3	p	p	X
ejpam-6587	157	4	s	s	X
ejpam-6587	157	5	cot	cot	NOUN
ejpam-6587	157	6	(	(	PUNCT
ejpam-6587	157	7	√	√	ADP
ejpam-6587	157	8	psη	psη	NOUN
ejpam-6587	157	9	)	)	PUNCT
ejpam-6587	157	10	,	,	PUNCT
ejpam-6587	157	11	x3(η	x3(η	X
ejpam-6587	157	12	)	)	PUNCT
ejpam-6587	157	13	=	=	SYM
ejpam-6587	158	1	√	√	PROPN
ejpam-6587	159	1	p	p	NOUN
ejpam-6587	159	2	s	s	X
ejpam-6587	159	3	(	(	PUNCT
ejpam-6587	159	4	tan	tan	PROPN
ejpam-6587	159	5	(	(	PUNCT
ejpam-6587	159	6	√	√	PROPN
ejpam-6587	159	7	4psη)±	4psη)±	NUM
ejpam-6587	159	8	sec	sec	PROPN
ejpam-6587	159	9	(	(	PUNCT
ejpam-6587	159	10	√	√	NUM
ejpam-6587	159	11	4psη	4psη	NUM
ejpam-6587	159	12	)	)	PUNCT
ejpam-6587	159	13	)	)	PUNCT
ejpam-6587	159	14	,	,	PUNCT
ejpam-6587	159	15	x4(η	x4(η	X
ejpam-6587	159	16	)	)	PUNCT
ejpam-6587	159	17	=	=	SYM
ejpam-6587	160	1	−	−	PROPN
ejpam-6587	160	2	√	√	PROPN
ejpam-6587	160	3	p	p	NOUN
ejpam-6587	160	4	s	s	X
ejpam-6587	160	5	(	(	PUNCT
ejpam-6587	160	6	cot	cot	NOUN
ejpam-6587	160	7	(	(	PUNCT
ejpam-6587	160	8	√	√	PROPN
ejpam-6587	160	9	4psη)±	4psη)±	NUM
ejpam-6587	160	10	csc	csc	PROPN
ejpam-6587	160	11	(	(	PUNCT
ejpam-6587	160	12	√	√	NUM
ejpam-6587	160	13	4psη	4psη	NUM
ejpam-6587	160	14	)	)	PUNCT
ejpam-6587	160	15	)	)	PUNCT
ejpam-6587	160	16	,	,	PUNCT
ejpam-6587	161	1	x5(η	x5(η	X
ejpam-6587	161	2	)	)	PUNCT
ejpam-6587	161	3	=	=	SYM
ejpam-6587	161	4	1	1	NUM
ejpam-6587	161	5	2	2	NUM
ejpam-6587	161	6	√	√	PROPN
ejpam-6587	161	7	p	p	NOUN
ejpam-6587	161	8	s	s	X
ejpam-6587	161	9	(	(	PUNCT
ejpam-6587	161	10	tan	tan	PROPN
ejpam-6587	161	11	(	(	PUNCT
ejpam-6587	161	12	1	1	NUM
ejpam-6587	161	13	2	2	NUM
ejpam-6587	161	14	√	√	PROPN
ejpam-6587	161	15	psη)−	psη)−	NOUN
ejpam-6587	161	16	cot	cot	NOUN
ejpam-6587	161	17	(	(	PUNCT
ejpam-6587	161	18	1	1	NUM
ejpam-6587	161	19	2	2	NUM
ejpam-6587	161	20	√	√	NUM
ejpam-6587	161	21	psη	psη	NOUN
ejpam-6587	161	22	)	)	PUNCT
ejpam-6587	161	23	)	)	PUNCT
ejpam-6587	161	24	,	,	PUNCT
ejpam-6587	161	25	then	then	ADV
ejpam-6587	161	26	,	,	PUNCT
ejpam-6587	161	27	kdve	kdve	PROPN
ejpam-6587	161	28	-	-	PUNCT
ejpam-6587	161	29	rvcs	rvcs	PROPN
ejpam-6587	161	30	(	(	PUNCT
ejpam-6587	161	31	5	5	NUM
ejpam-6587	161	32	)	)	PUNCT
ejpam-6587	161	33	possess	possess	VERB
ejpam-6587	161	34	the	the	DET
ejpam-6587	161	35	trigonometric	trigonometric	ADJ
ejpam-6587	161	36	functions	function	NOUN
ejpam-6587	161	37	solution	solution	NOUN
ejpam-6587	161	38	:	:	PUNCT
ejpam-6587	161	39	v1(x	v1(x	NUM
ejpam-6587	161	40	,	,	PUNCT
ejpam-6587	161	41	t	t	NOUN
ejpam-6587	161	42	)	)	PUNCT
ejpam-6587	161	43	=	=	PUNCT
ejpam-6587	162	1	(	(	PUNCT
ejpam-6587	162	2	ℓ0	ℓ0	ADV
ejpam-6587	162	3	+	+	CCONJ
ejpam-6587	162	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	162	5	s	s	PART
ejpam-6587	162	6	tan2	tan2	PROPN
ejpam-6587	162	7	(	(	PUNCT
ejpam-6587	162	8	√	√	NUM
ejpam-6587	162	9	psη	psη	NOUN
ejpam-6587	162	10	)	)	PUNCT
ejpam-6587	162	11	)	)	PUNCT
ejpam-6587	163	1	e−	e−	ADV
ejpam-6587	163	2	1	1	NUM
ejpam-6587	163	3	2	2	NUM
ejpam-6587	163	4	σ2	σ2	PROPN
ejpam-6587	163	5	t	t	PROPN
ejpam-6587	163	6	,	,	PUNCT
ejpam-6587	163	7	(	(	PUNCT
ejpam-6587	163	8	17	17	NUM
ejpam-6587	163	9	)	)	PUNCT
ejpam-6587	163	10	v2(x	v2(x	PROPN
ejpam-6587	163	11	,	,	PUNCT
ejpam-6587	163	12	t	t	PROPN
ejpam-6587	163	13	)	)	PUNCT
ejpam-6587	163	14	=	=	PUNCT
ejpam-6587	163	15	(	(	PUNCT
ejpam-6587	163	16	ℓ0	ℓ0	INTJ
ejpam-6587	163	17	−	−	PROPN
ejpam-6587	163	18	ℓ2p	ℓ2p	PROPN
ejpam-6587	163	19	s	s	PART
ejpam-6587	163	20	cot2	cot2	NOUN
ejpam-6587	163	21	(	(	PUNCT
ejpam-6587	163	22	√	√	NUM
ejpam-6587	163	23	psη	psη	NOUN
ejpam-6587	163	24	)	)	PUNCT
ejpam-6587	163	25	)	)	PUNCT
ejpam-6587	164	1	e−	e−	ADV
ejpam-6587	164	2	1	1	NUM
ejpam-6587	164	3	2	2	NUM
ejpam-6587	164	4	σ2	σ2	PROPN
ejpam-6587	164	5	t	t	PROPN
ejpam-6587	164	6	,	,	PUNCT
ejpam-6587	164	7	(	(	PUNCT
ejpam-6587	164	8	18	18	NUM
ejpam-6587	164	9	)	)	PUNCT
ejpam-6587	164	10	v3(x	v3(x	PROPN
ejpam-6587	164	11	,	,	PUNCT
ejpam-6587	164	12	t	t	PROPN
ejpam-6587	164	13	)	)	PUNCT
ejpam-6587	164	14	=	=	PUNCT
ejpam-6587	165	1	(	(	PUNCT
ejpam-6587	165	2	ℓ0	ℓ0	ADV
ejpam-6587	165	3	+	+	CCONJ
ejpam-6587	165	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	165	5	s	s	X
ejpam-6587	165	6	(	(	PUNCT
ejpam-6587	165	7	tan	tan	PROPN
ejpam-6587	165	8	(	(	PUNCT
ejpam-6587	165	9	√	√	PROPN
ejpam-6587	165	10	4psη)±	4psη)±	NUM
ejpam-6587	165	11	sec	sec	PROPN
ejpam-6587	165	12	(	(	PUNCT
ejpam-6587	165	13	√	√	NUM
ejpam-6587	165	14	4psη	4psη	NUM
ejpam-6587	165	15	)	)	PUNCT
ejpam-6587	165	16	)	)	PUNCT
ejpam-6587	165	17	2	2	X
ejpam-6587	165	18	)	)	PUNCT
ejpam-6587	165	19	e−	e−	PUNCT
ejpam-6587	165	20	1	1	NUM
ejpam-6587	165	21	2	2	NUM
ejpam-6587	165	22	σ2	σ2	PROPN
ejpam-6587	165	23	t	t	PROPN
ejpam-6587	165	24	,	,	PUNCT
ejpam-6587	165	25	(	(	PUNCT
ejpam-6587	165	26	19	19	NUM
ejpam-6587	165	27	)	)	PUNCT
ejpam-6587	165	28	v4(x	v4(x	NOUN
ejpam-6587	165	29	,	,	PUNCT
ejpam-6587	165	30	t	t	PROPN
ejpam-6587	165	31	)	)	PUNCT
ejpam-6587	165	32	=	=	PUNCT
ejpam-6587	165	33	(	(	PUNCT
ejpam-6587	165	34	ℓ0	ℓ0	INTJ
ejpam-6587	165	35	−	−	PROPN
ejpam-6587	165	36	ℓ2p	ℓ2p	PROPN
ejpam-6587	165	37	s	s	X
ejpam-6587	165	38	(	(	PUNCT
ejpam-6587	165	39	cot	cot	NOUN
ejpam-6587	165	40	(	(	PUNCT
ejpam-6587	165	41	√	√	PROPN
ejpam-6587	165	42	4psη)±	4psη)±	NUM
ejpam-6587	165	43	csc	csc	PROPN
ejpam-6587	165	44	(	(	PUNCT
ejpam-6587	165	45	√	√	NUM
ejpam-6587	165	46	4psη	4psη	NUM
ejpam-6587	165	47	)	)	PUNCT
ejpam-6587	165	48	)	)	PUNCT
ejpam-6587	165	49	2	2	X
ejpam-6587	165	50	)	)	PUNCT
ejpam-6587	165	51	e−	e−	PUNCT
ejpam-6587	165	52	1	1	NUM
ejpam-6587	165	53	2	2	NUM
ejpam-6587	165	54	σ2	σ2	PROPN
ejpam-6587	165	55	t	t	PROPN
ejpam-6587	165	56	,	,	PUNCT
ejpam-6587	165	57	(	(	PUNCT
ejpam-6587	165	58	20	20	NUM
ejpam-6587	165	59	)	)	PUNCT
ejpam-6587	165	60	v5(x	v5(x	PROPN
ejpam-6587	165	61	,	,	PUNCT
ejpam-6587	165	62	t	t	PROPN
ejpam-6587	165	63	)	)	PUNCT
ejpam-6587	165	64	=	=	PUNCT
ejpam-6587	166	1	(	(	PUNCT
ejpam-6587	166	2	ℓ0	ℓ0	ADV
ejpam-6587	166	3	+	+	CCONJ
ejpam-6587	166	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	166	5	2s	2s	PROPN
ejpam-6587	166	6	(	(	PUNCT
ejpam-6587	166	7	tan	tan	PROPN
ejpam-6587	166	8	(	(	PUNCT
ejpam-6587	166	9	1	1	NUM
ejpam-6587	166	10	2	2	NUM
ejpam-6587	166	11	√	√	PROPN
ejpam-6587	166	12	psη)−	psη)−	NOUN
ejpam-6587	166	13	cot	cot	NOUN
ejpam-6587	166	14	(	(	PUNCT
ejpam-6587	166	15	1	1	NUM
ejpam-6587	166	16	2	2	NUM
ejpam-6587	166	17	√	√	NUM
ejpam-6587	166	18	psη	psη	NOUN
ejpam-6587	166	19	)	)	PUNCT
ejpam-6587	166	20	)	)	PUNCT
ejpam-6587	166	21	2	2	X
ejpam-6587	166	22	)	)	PUNCT
ejpam-6587	166	23	e−	e−	PUNCT
ejpam-6587	166	24	1	1	NUM
ejpam-6587	166	25	2	2	NUM
ejpam-6587	166	26	σ2	σ2	PROPN
ejpam-6587	166	27	t	t	PROPN
ejpam-6587	166	28	,	,	PUNCT
ejpam-6587	166	29	(	(	PUNCT
ejpam-6587	166	30	21	21	NUM
ejpam-6587	166	31	)	)	PUNCT
ejpam-6587	166	32	where	where	SCONJ
ejpam-6587	166	33	η	η	PROPN
ejpam-6587	166	34	=	=	PROPN
ejpam-6587	166	35	kx−	kx−	PROPN
ejpam-6587	166	36	akℓ0	akℓ0	PROPN
ejpam-6587	166	37	∫	∫	PROPN
ejpam-6587	166	38	t	t	PROPN
ejpam-6587	166	39	0	0	NUM
ejpam-6587	166	40	e	e	NOUN
ejpam-6587	166	41	σb(τ)−	σb(τ)−	NOUN
ejpam-6587	166	42	1	1	NUM
ejpam-6587	166	43	2	2	NUM
ejpam-6587	166	44	σ2τdτ	σ2τdτ	NOUN
ejpam-6587	166	45	.	.	PUNCT
ejpam-6587	167	1	family	family	PROPN
ejpam-6587	167	2	ii	ii	PROPN
ejpam-6587	167	3	:	:	PUNCT
ejpam-6587	167	4	if	if	SCONJ
ejpam-6587	167	5	sp	sp	ADP
ejpam-6587	167	6	<	<	X
ejpam-6587	167	7	0	0	NUM
ejpam-6587	167	8	,	,	PUNCT
ejpam-6587	167	9	then	then	ADV
ejpam-6587	167	10	the	the	DET
ejpam-6587	167	11	solutions	solution	NOUN
ejpam-6587	167	12	of	of	ADP
ejpam-6587	167	13	eq	eq	PROPN
ejpam-6587	167	14	.	.	PUNCT
ejpam-6587	168	1	(	(	PUNCT
ejpam-6587	168	2	14	14	NUM
ejpam-6587	168	3	)	)	PUNCT
ejpam-6587	168	4	are	be	AUX
ejpam-6587	168	5	x6(η	x6(η	PROPN
ejpam-6587	168	6	)	)	PUNCT
ejpam-6587	168	7	=	=	SYM
ejpam-6587	169	1	−	−	PROPN
ejpam-6587	169	2	√	√	NUM
ejpam-6587	169	3	−p	−p	NOUN
ejpam-6587	169	4	s	s	X
ejpam-6587	169	5	tanh	tanh	NOUN
ejpam-6587	169	6	(	(	PUNCT
ejpam-6587	169	7	√	√	PROPN
ejpam-6587	169	8	−psη	−psη	NUM
ejpam-6587	169	9	)	)	PUNCT
ejpam-6587	169	10	,	,	PUNCT
ejpam-6587	169	11	x7(η	x7(η	X
ejpam-6587	169	12	)	)	PUNCT
ejpam-6587	169	13	=	=	SYM
ejpam-6587	169	14	−	−	PROPN
ejpam-6587	169	15	√	√	NUM
ejpam-6587	169	16	−p	−p	NOUN
ejpam-6587	169	17	s	s	NOUN
ejpam-6587	169	18	coth	coth	NOUN
ejpam-6587	169	19	(	(	PUNCT
ejpam-6587	169	20	√	√	PROPN
ejpam-6587	169	21	−psη	−psη	NUM
ejpam-6587	169	22	)	)	PUNCT
ejpam-6587	169	23	,	,	PUNCT
ejpam-6587	169	24	x8(η	x8(η	PROPN
ejpam-6587	169	25	)	)	PUNCT
ejpam-6587	169	26	=	=	SYM
ejpam-6587	170	1	−	−	PROPN
ejpam-6587	170	2	√	√	NUM
ejpam-6587	170	3	−p	−p	NOUN
ejpam-6587	170	4	s	s	X
ejpam-6587	170	5	(	(	PUNCT
ejpam-6587	170	6	coth	coth	PROPN
ejpam-6587	170	7	(	(	PUNCT
ejpam-6587	170	8	√	√	NUM
ejpam-6587	170	9	−4psη)±	−4psη)±	NOUN
ejpam-6587	170	10	csch	csch	NOUN
ejpam-6587	170	11	(	(	PUNCT
ejpam-6587	170	12	√	√	NUM
ejpam-6587	170	13	−4psη	−4psη	NUM
ejpam-6587	170	14	)	)	PUNCT
ejpam-6587	170	15	)	)	PUNCT
ejpam-6587	170	16	,	,	PUNCT
ejpam-6587	170	17	x9(η	x9(η	X
ejpam-6587	170	18	)	)	PUNCT
ejpam-6587	170	19	=	=	SYM
ejpam-6587	170	20	−1	−1	NOUN
ejpam-6587	170	21	2	2	NUM
ejpam-6587	170	22	√	√	NOUN
ejpam-6587	170	23	−p	−p	NOUN
ejpam-6587	170	24	s	s	X
ejpam-6587	170	25	(	(	PUNCT
ejpam-6587	170	26	tanh	tanh	NOUN
ejpam-6587	170	27	(	(	PUNCT
ejpam-6587	170	28	1	1	NUM
ejpam-6587	170	29	2	2	NUM
ejpam-6587	170	30	√	√	NUM
ejpam-6587	170	31	−psη	−psη	NOUN
ejpam-6587	170	32	)	)	PUNCT
ejpam-6587	170	33	+	+	CCONJ
ejpam-6587	170	34	coth	coth	X
ejpam-6587	170	35	(	(	PUNCT
ejpam-6587	170	36	1	1	NUM
ejpam-6587	170	37	2	2	NUM
ejpam-6587	170	38	√	√	NUM
ejpam-6587	170	39	−psη	−psη	NOUN
ejpam-6587	170	40	)	)	PUNCT
ejpam-6587	170	41	)	)	PUNCT
ejpam-6587	170	42	.	.	PUNCT
ejpam-6587	171	1	a.	a.	NOUN
ejpam-6587	171	2	alshuhail	alshuhail	PROPN
ejpam-6587	171	3	et	et	PROPN
ejpam-6587	171	4	al	al	PROPN
ejpam-6587	171	5	.	.	PUNCT
ejpam-6587	171	6	/	/	SYM
ejpam-6587	171	7	eur	eur	PROPN
ejpam-6587	171	8	.	.	PUNCT
ejpam-6587	172	1	j.	j.	PROPN
ejpam-6587	172	2	pure	pure	PROPN
ejpam-6587	172	3	appl	appl	PROPN
ejpam-6587	172	4	.	.	PROPN
ejpam-6587	172	5	math	math	PROPN
ejpam-6587	172	6	,	,	PUNCT
ejpam-6587	172	7	18	18	NUM
ejpam-6587	172	8	(	(	PUNCT
ejpam-6587	172	9	4	4	NUM
ejpam-6587	172	10	)	)	PUNCT
ejpam-6587	172	11	(	(	PUNCT
ejpam-6587	172	12	2025	2025	NUM
ejpam-6587	172	13	)	)	PUNCT
ejpam-6587	172	14	,	,	PUNCT
ejpam-6587	172	15	6587	6587	NUM
ejpam-6587	172	16	8	8	NUM
ejpam-6587	172	17	of	of	ADP
ejpam-6587	172	18	16	16	NUM
ejpam-6587	172	19	hence	hence	ADV
ejpam-6587	172	20	,	,	PUNCT
ejpam-6587	172	21	kdve	kdve	PROPN
ejpam-6587	172	22	-	-	PUNCT
ejpam-6587	172	23	rvcs	rvcs	PROPN
ejpam-6587	172	24	(	(	PUNCT
ejpam-6587	172	25	5	5	NUM
ejpam-6587	172	26	)	)	PUNCT
ejpam-6587	172	27	possess	possess	VERB
ejpam-6587	172	28	the	the	DET
ejpam-6587	172	29	following	follow	VERB
ejpam-6587	172	30	hyperbolic	hyperbolic	ADJ
ejpam-6587	172	31	functions	function	NOUN
ejpam-6587	172	32	solution	solution	NOUN
ejpam-6587	172	33	:	:	PUNCT
ejpam-6587	172	34	v6(x	v6(x	PROPN
ejpam-6587	172	35	,	,	PUNCT
ejpam-6587	172	36	t	t	PROPN
ejpam-6587	172	37	)	)	PUNCT
ejpam-6587	172	38	=	=	PUNCT
ejpam-6587	173	1	(	(	PUNCT
ejpam-6587	173	2	ℓ0	ℓ0	ADV
ejpam-6587	173	3	+	+	CCONJ
ejpam-6587	173	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	173	5	s	s	PART
ejpam-6587	173	6	tanh2	tanh2	NOUN
ejpam-6587	173	7	(	(	PUNCT
ejpam-6587	173	8	√	√	NUM
ejpam-6587	173	9	−psη	−psη	NUM
ejpam-6587	173	10	)	)	PUNCT
ejpam-6587	173	11	)	)	PUNCT
ejpam-6587	174	1	e−	e−	ADV
ejpam-6587	174	2	1	1	NUM
ejpam-6587	174	3	2	2	NUM
ejpam-6587	174	4	σ2	σ2	PROPN
ejpam-6587	174	5	t	t	PROPN
ejpam-6587	174	6	,	,	PUNCT
ejpam-6587	174	7	(	(	PUNCT
ejpam-6587	174	8	22	22	NUM
ejpam-6587	174	9	)	)	PUNCT
ejpam-6587	174	10	v7(x	v7(x	PROPN
ejpam-6587	174	11	,	,	PUNCT
ejpam-6587	174	12	t	t	PROPN
ejpam-6587	174	13	)	)	PUNCT
ejpam-6587	174	14	=	=	PUNCT
ejpam-6587	175	1	(	(	PUNCT
ejpam-6587	175	2	ℓ0	ℓ0	ADV
ejpam-6587	175	3	+	+	CCONJ
ejpam-6587	175	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	175	5	s	s	PART
ejpam-6587	175	6	coth2	coth2	NOUN
ejpam-6587	175	7	(	(	PUNCT
ejpam-6587	175	8	√	√	NUM
ejpam-6587	175	9	−psη	−psη	NUM
ejpam-6587	175	10	)	)	PUNCT
ejpam-6587	175	11	)	)	PUNCT
ejpam-6587	176	1	e−	e−	ADV
ejpam-6587	176	2	1	1	NUM
ejpam-6587	176	3	2	2	NUM
ejpam-6587	176	4	σ2	σ2	PROPN
ejpam-6587	176	5	t	t	PROPN
ejpam-6587	176	6	,	,	PUNCT
ejpam-6587	176	7	(	(	PUNCT
ejpam-6587	176	8	23	23	NUM
ejpam-6587	176	9	)	)	PUNCT
ejpam-6587	176	10	v8(x	v8(x	NUM
ejpam-6587	176	11	,	,	PUNCT
ejpam-6587	176	12	t	t	PROPN
ejpam-6587	176	13	)	)	PUNCT
ejpam-6587	176	14	=	=	PUNCT
ejpam-6587	177	1	(	(	PUNCT
ejpam-6587	177	2	ℓ0	ℓ0	ADV
ejpam-6587	177	3	+	+	CCONJ
ejpam-6587	177	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	177	5	s	s	X
ejpam-6587	177	6	(	(	PUNCT
ejpam-6587	177	7	coth	coth	PROPN
ejpam-6587	177	8	(	(	PUNCT
ejpam-6587	177	9	√	√	NUM
ejpam-6587	177	10	−4psη)±	−4psη)±	NOUN
ejpam-6587	177	11	csch	csch	NOUN
ejpam-6587	177	12	(	(	PUNCT
ejpam-6587	177	13	√	√	NUM
ejpam-6587	177	14	−4psη	−4psη	NUM
ejpam-6587	177	15	)	)	PUNCT
ejpam-6587	177	16	)	)	PUNCT
ejpam-6587	177	17	2	2	X
ejpam-6587	177	18	)	)	PUNCT
ejpam-6587	177	19	e−	e−	PUNCT
ejpam-6587	177	20	1	1	NUM
ejpam-6587	177	21	2	2	NUM
ejpam-6587	177	22	σ2	σ2	PROPN
ejpam-6587	177	23	t	t	PROPN
ejpam-6587	177	24	,	,	PUNCT
ejpam-6587	177	25	(	(	PUNCT
ejpam-6587	177	26	24	24	NUM
ejpam-6587	177	27	)	)	PUNCT
ejpam-6587	177	28	v9(x	v9(x	PROPN
ejpam-6587	177	29	,	,	PUNCT
ejpam-6587	177	30	t	t	PROPN
ejpam-6587	177	31	)	)	PUNCT
ejpam-6587	177	32	=	=	PUNCT
ejpam-6587	178	1	(	(	PUNCT
ejpam-6587	178	2	ℓ0	ℓ0	ADV
ejpam-6587	178	3	+	+	CCONJ
ejpam-6587	178	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	178	5	2s	2s	PROPN
ejpam-6587	178	6	(	(	PUNCT
ejpam-6587	178	7	tanh	tanh	PROPN
ejpam-6587	178	8	(	(	PUNCT
ejpam-6587	178	9	1	1	NUM
ejpam-6587	178	10	2	2	NUM
ejpam-6587	178	11	√	√	NUM
ejpam-6587	178	12	−psη	−psη	NOUN
ejpam-6587	178	13	)	)	PUNCT
ejpam-6587	178	14	+	+	CCONJ
ejpam-6587	178	15	coth	coth	X
ejpam-6587	178	16	(	(	PUNCT
ejpam-6587	178	17	1	1	NUM
ejpam-6587	178	18	2	2	NUM
ejpam-6587	178	19	√	√	NUM
ejpam-6587	178	20	−psη	−psη	NUM
ejpam-6587	178	21	)	)	PUNCT
ejpam-6587	178	22	)	)	PUNCT
ejpam-6587	178	23	)	)	PUNCT
ejpam-6587	179	1	e−	e−	ADV
ejpam-6587	179	2	1	1	NUM
ejpam-6587	179	3	2	2	NUM
ejpam-6587	179	4	σ2	σ2	PROPN
ejpam-6587	179	5	t	t	PROPN
ejpam-6587	179	6	,	,	PUNCT
ejpam-6587	179	7	(	(	PUNCT
ejpam-6587	179	8	25	25	NUM
ejpam-6587	179	9	)	)	PUNCT
ejpam-6587	179	10	where	where	SCONJ
ejpam-6587	179	11	η	η	PROPN
ejpam-6587	179	12	=	=	PROPN
ejpam-6587	179	13	kx−	kx−	PROPN
ejpam-6587	179	14	akℓ0	akℓ0	PROPN
ejpam-6587	179	15	∫	∫	PROPN
ejpam-6587	179	16	t	t	PROPN
ejpam-6587	179	17	0	0	NUM
ejpam-6587	179	18	e	e	NOUN
ejpam-6587	179	19	σb(τ)−	σb(τ)−	NOUN
ejpam-6587	179	20	1	1	NUM
ejpam-6587	179	21	2	2	NUM
ejpam-6587	179	22	σ2τdτ	σ2τdτ	NOUN
ejpam-6587	179	23	.	.	PUNCT
ejpam-6587	180	1	family	family	NOUN
ejpam-6587	180	2	iii	iii	PROPN
ejpam-6587	180	3	:	:	PUNCT
ejpam-6587	180	4	if	if	SCONJ
ejpam-6587	180	5	s	s	VERB
ejpam-6587	180	6	̸=	̸=	PROPN
ejpam-6587	180	7	0	0	NUM
ejpam-6587	180	8	and	and	CCONJ
ejpam-6587	180	9	p	p	X
ejpam-6587	180	10	=	=	PROPN
ejpam-6587	180	11	0	0	NUM
ejpam-6587	180	12	,	,	PUNCT
ejpam-6587	180	13	then	then	ADV
ejpam-6587	180	14	eq	eq	ADJ
ejpam-6587	180	15	.	.	PUNCT
ejpam-6587	181	1	(	(	PUNCT
ejpam-6587	181	2	14	14	NUM
ejpam-6587	181	3	)	)	PUNCT
ejpam-6587	181	4	has	have	VERB
ejpam-6587	181	5	the	the	DET
ejpam-6587	181	6	solution	solution	NOUN
ejpam-6587	181	7	:	:	PUNCT
ejpam-6587	181	8	x10(η	x10(η	PROPN
ejpam-6587	181	9	)	)	PUNCT
ejpam-6587	182	1	=	=	SYM
ejpam-6587	182	2	−1	−1	NOUN
ejpam-6587	182	3	sη	sη	NOUN
ejpam-6587	182	4	.	.	PUNCT
ejpam-6587	183	1	therefore	therefore	ADV
ejpam-6587	183	2	,	,	PUNCT
ejpam-6587	183	3	the	the	DET
ejpam-6587	183	4	kdve	kdve	PROPN
ejpam-6587	183	5	-	-	PUNCT
ejpam-6587	183	6	rvcs	rvcs	PROPN
ejpam-6587	183	7	(	(	PUNCT
ejpam-6587	183	8	5	5	NUM
ejpam-6587	183	9	)	)	PUNCT
ejpam-6587	183	10	has	have	VERB
ejpam-6587	183	11	the	the	DET
ejpam-6587	183	12	following	follow	VERB
ejpam-6587	183	13	rational	rational	ADJ
ejpam-6587	183	14	function	function	NOUN
ejpam-6587	183	15	solution	solution	NOUN
ejpam-6587	183	16	v10(x	v10(x	NOUN
ejpam-6587	183	17	,	,	PUNCT
ejpam-6587	183	18	t	t	PROPN
ejpam-6587	183	19	)	)	PUNCT
ejpam-6587	183	20	=	=	PUNCT
ejpam-6587	184	1	(	(	PUNCT
ejpam-6587	184	2	ℓ0	ℓ0	ADV
ejpam-6587	184	3	+	+	CCONJ
ejpam-6587	184	4	ℓ2	ℓ2	PROPN
ejpam-6587	184	5	s2η2	s2η2	X
ejpam-6587	184	6	)	)	PUNCT
ejpam-6587	184	7	e−	e−	ADP
ejpam-6587	184	8	1	1	NUM
ejpam-6587	184	9	2	2	NUM
ejpam-6587	184	10	σ2	σ2	PROPN
ejpam-6587	184	11	t	t	PROPN
ejpam-6587	184	12	,	,	PUNCT
ejpam-6587	184	13	(	(	PUNCT
ejpam-6587	184	14	26	26	NUM
ejpam-6587	184	15	)	)	PUNCT
ejpam-6587	184	16	where	where	SCONJ
ejpam-6587	184	17	η	η	PROPN
ejpam-6587	184	18	=	=	PROPN
ejpam-6587	184	19	kx−	kx−	PROPN
ejpam-6587	184	20	akℓ0	akℓ0	PROPN
ejpam-6587	184	21	∫	∫	PROPN
ejpam-6587	184	22	t	t	PROPN
ejpam-6587	184	23	0	0	NUM
ejpam-6587	184	24	e	e	NOUN
ejpam-6587	184	25	σb(τ)−	σb(τ)−	NOUN
ejpam-6587	184	26	1	1	NUM
ejpam-6587	184	27	2	2	NUM
ejpam-6587	184	28	σ2τdτ	σ2τdτ	NOUN
ejpam-6587	184	29	.	.	PUNCT
ejpam-6587	185	1	3	3	NUM
ejpam-6587	185	2	.	.	NOUN
ejpam-6587	185	3	exact	exact	ADJ
ejpam-6587	185	4	solutions	solution	NOUN
ejpam-6587	185	5	of	of	ADP
ejpam-6587	185	6	skdv	skdv	ADJ
ejpam-6587	185	7	equation	equation	NOUN
ejpam-6587	185	8	here	here	ADV
ejpam-6587	185	9	,	,	PUNCT
ejpam-6587	185	10	we	we	PRON
ejpam-6587	185	11	apply	apply	VERB
ejpam-6587	185	12	the	the	DET
ejpam-6587	185	13	results	result	NOUN
ejpam-6587	185	14	from	from	ADP
ejpam-6587	185	15	the	the	DET
ejpam-6587	185	16	preceding	precede	VERB
ejpam-6587	185	17	section	section	NOUN
ejpam-6587	185	18	to	to	PART
ejpam-6587	185	19	derive	derive	VERB
ejpam-6587	185	20	solutions	solution	NOUN
ejpam-6587	185	21	to	to	ADP
ejpam-6587	185	22	the	the	DET
ejpam-6587	185	23	skdv	skdv	NOUN
ejpam-6587	185	24	eq	eq	ADP
ejpam-6587	185	25	.	.	PUNCT
ejpam-6587	186	1	(	(	PUNCT
ejpam-6587	186	2	1	1	NUM
ejpam-6587	186	3	)	)	PUNCT
ejpam-6587	186	4	.	.	PUNCT
ejpam-6587	187	1	3.1	3.1	NUM
ejpam-6587	187	2	.	.	X
ejpam-6587	188	1	jef	jef	NOUN
ejpam-6587	188	2	-	-	PUNCT
ejpam-6587	188	3	method	method	NOUN
ejpam-6587	188	4	substituting	substitute	VERB
ejpam-6587	188	5	eqs	eqs	X
ejpam-6587	188	6	(	(	PUNCT
ejpam-6587	188	7	10)-(12	10)-(12	NUM
ejpam-6587	188	8	)	)	PUNCT
ejpam-6587	188	9	into	into	ADP
ejpam-6587	188	10	eq	eq	NOUN
ejpam-6587	188	11	.	.	PUNCT
ejpam-6587	189	1	(	(	PUNCT
ejpam-6587	189	2	2	2	NUM
ejpam-6587	189	3	)	)	PUNCT
ejpam-6587	189	4	,	,	PUNCT
ejpam-6587	189	5	we	we	PRON
ejpam-6587	189	6	have	have	VERB
ejpam-6587	189	7	the	the	DET
ejpam-6587	189	8	solutions	solution	NOUN
ejpam-6587	189	9	of	of	ADP
ejpam-6587	189	10	skdv	skdv	NOUN
ejpam-6587	189	11	eq	eq	ADP
ejpam-6587	189	12	.	.	PUNCT
ejpam-6587	190	1	(	(	PUNCT
ejpam-6587	190	2	1	1	NUM
ejpam-6587	190	3	):	):	PUNCT
ejpam-6587	190	4	p(x	p(x	PROPN
ejpam-6587	190	5	,	,	PUNCT
ejpam-6587	190	6	t	t	PROPN
ejpam-6587	190	7	)	)	PUNCT
ejpam-6587	191	1	=	=	SYM
ejpam-6587	191	2	eσb(t)−	eσb(t)−	PROPN
ejpam-6587	191	3	1	1	NUM
ejpam-6587	191	4	2	2	NUM
ejpam-6587	191	5	σ2	σ2	PROPN
ejpam-6587	191	6	t	t	PROPN
ejpam-6587	191	7	(	(	PUNCT
ejpam-6587	191	8	ℓ0	ℓ0	ADV
ejpam-6587	191	9	+	+	NOUN
ejpam-6587	191	10	ℓ2sn	ℓ2sn	SYM
ejpam-6587	191	11	2	2	NUM
ejpam-6587	191	12	(	(	PUNCT
ejpam-6587	191	13	kϖx−	kϖx−	PROPN
ejpam-6587	191	14	kϖ	kϖ	PROPN
ejpam-6587	191	15	(	(	PUNCT
ejpam-6587	191	16	−ℓ2(1	−ℓ2(1	NOUN
ejpam-6587	191	17	+	+	NOUN
ejpam-6587	191	18	m2	m2	X
ejpam-6587	191	19	)	)	PUNCT
ejpam-6587	191	20	3m2	3m2	NUM
ejpam-6587	192	1	+	+	CCONJ
ejpam-6587	192	2	ℓ0	ℓ0	ADV
ejpam-6587	192	3	)	)	PUNCT
ejpam-6587	192	4	∫	∫	PROPN
ejpam-6587	192	5	t	t	PROPN
ejpam-6587	192	6	0	0	NUM
ejpam-6587	192	7	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	192	8	1	1	NUM
ejpam-6587	192	9	2	2	NUM
ejpam-6587	192	10	σ2τdτ	σ2τdτ	NUM
ejpam-6587	192	11	,	,	PUNCT
ejpam-6587	192	12	m	m	NOUN
ejpam-6587	192	13	)	)	PUNCT
ejpam-6587	192	14	)	)	PUNCT
ejpam-6587	192	15	,	,	PUNCT
ejpam-6587	192	16	(	(	PUNCT
ejpam-6587	192	17	27	27	NUM
ejpam-6587	192	18	)	)	PUNCT
ejpam-6587	192	19	p(x	p(x	PROPN
ejpam-6587	192	20	,	,	PUNCT
ejpam-6587	192	21	t	t	PROPN
ejpam-6587	192	22	)	)	PUNCT
ejpam-6587	193	1	=	=	SYM
ejpam-6587	193	2	eσb(t)−	eσb(t)−	PROPN
ejpam-6587	193	3	1	1	NUM
ejpam-6587	193	4	2	2	NUM
ejpam-6587	193	5	σ2	σ2	PROPN
ejpam-6587	193	6	t	t	PROPN
ejpam-6587	193	7	(	(	PUNCT
ejpam-6587	193	8	ℓ0	ℓ0	ADV
ejpam-6587	193	9	+	+	PROPN
ejpam-6587	193	10	ℓ2cn	ℓ2cn	ADJ
ejpam-6587	193	11	2	2	NUM
ejpam-6587	193	12	(	(	PUNCT
ejpam-6587	193	13	kϖx−	kϖx−	PROPN
ejpam-6587	193	14	kϖ	kϖ	PROPN
ejpam-6587	193	15	(	(	PUNCT
ejpam-6587	193	16	ℓ2(2	ℓ2(2	PROPN
ejpam-6587	193	17	m	m	NOUN
ejpam-6587	193	18	2	2	NUM
ejpam-6587	193	19	−	−	NOUN
ejpam-6587	193	20	1	1	NUM
ejpam-6587	193	21	)	)	PUNCT
ejpam-6587	193	22	3m2	3m2	NUM
ejpam-6587	194	1	+	+	CCONJ
ejpam-6587	194	2	ℓ0	ℓ0	ADV
ejpam-6587	194	3	)	)	PUNCT
ejpam-6587	194	4	∫	∫	PROPN
ejpam-6587	194	5	t	t	PROPN
ejpam-6587	194	6	0	0	NUM
ejpam-6587	194	7	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	194	8	1	1	NUM
ejpam-6587	194	9	2	2	NUM
ejpam-6587	194	10	σ2τdτ	σ2τdτ	NUM
ejpam-6587	194	11	,	,	PUNCT
ejpam-6587	194	12	m	m	NOUN
ejpam-6587	194	13	)	)	PUNCT
ejpam-6587	194	14	)	)	PUNCT
ejpam-6587	194	15	,	,	PUNCT
ejpam-6587	194	16	(	(	PUNCT
ejpam-6587	194	17	28	28	NUM
ejpam-6587	194	18	)	)	PUNCT
ejpam-6587	194	19	and	and	CCONJ
ejpam-6587	194	20	p(x	p(x	PROPN
ejpam-6587	194	21	,	,	PUNCT
ejpam-6587	194	22	t	t	PROPN
ejpam-6587	194	23	)	)	PUNCT
ejpam-6587	195	1	=	=	SYM
ejpam-6587	195	2	eσb(t)−	eσb(t)−	PROPN
ejpam-6587	195	3	1	1	NUM
ejpam-6587	195	4	2	2	NUM
ejpam-6587	195	5	σ2	σ2	PROPN
ejpam-6587	195	6	t	t	PROPN
ejpam-6587	195	7	(	(	PUNCT
ejpam-6587	195	8	ℓ0	ℓ0	ADV
ejpam-6587	195	9	a.	a.	NOUN
ejpam-6587	195	10	alshuhail	alshuhail	PROPN
ejpam-6587	195	11	et	et	PROPN
ejpam-6587	195	12	al	al	PROPN
ejpam-6587	195	13	.	.	PUNCT
ejpam-6587	195	14	/	/	SYM
ejpam-6587	195	15	eur	eur	PROPN
ejpam-6587	195	16	.	.	PUNCT
ejpam-6587	196	1	j.	j.	PROPN
ejpam-6587	196	2	pure	pure	PROPN
ejpam-6587	196	3	appl	appl	PROPN
ejpam-6587	196	4	.	.	PROPN
ejpam-6587	196	5	math	math	PROPN
ejpam-6587	196	6	,	,	PUNCT
ejpam-6587	196	7	18	18	NUM
ejpam-6587	196	8	(	(	PUNCT
ejpam-6587	196	9	4	4	NUM
ejpam-6587	196	10	)	)	PUNCT
ejpam-6587	196	11	(	(	PUNCT
ejpam-6587	196	12	2025	2025	NUM
ejpam-6587	196	13	)	)	PUNCT
ejpam-6587	196	14	,	,	PUNCT
ejpam-6587	196	15	6587	6587	NUM
ejpam-6587	196	16	9	9	NUM
ejpam-6587	196	17	of	of	ADP
ejpam-6587	196	18	16	16	NUM
ejpam-6587	196	19	+	+	ADJ
ejpam-6587	196	20	ℓ2dn	ℓ2dn	X
ejpam-6587	196	21	2	2	NUM
ejpam-6587	196	22	(	(	PUNCT
ejpam-6587	196	23	kϖx−	kϖx−	PROPN
ejpam-6587	196	24	kϖ	kϖ	PROPN
ejpam-6587	196	25	(	(	PUNCT
ejpam-6587	196	26	ℓ2(2−m2	ℓ2(2−m2	NOUN
ejpam-6587	196	27	)	)	PUNCT
ejpam-6587	196	28	3b2	3b2	NUM
ejpam-6587	197	1	+	+	CCONJ
ejpam-6587	197	2	ℓ0	ℓ0	ADV
ejpam-6587	197	3	)	)	PUNCT
ejpam-6587	197	4	∫	∫	PROPN
ejpam-6587	197	5	t	t	PROPN
ejpam-6587	197	6	0	0	NUM
ejpam-6587	197	7	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	197	8	1	1	NUM
ejpam-6587	197	9	2	2	NUM
ejpam-6587	197	10	σ2τdτ	σ2τdτ	NUM
ejpam-6587	197	11	,	,	PUNCT
ejpam-6587	197	12	m	m	NOUN
ejpam-6587	197	13	)	)	PUNCT
ejpam-6587	197	14	)	)	PUNCT
ejpam-6587	197	15	.	.	PUNCT
ejpam-6587	198	1	(	(	PUNCT
ejpam-6587	198	2	29	29	NUM
ejpam-6587	198	3	)	)	PUNCT
ejpam-6587	198	4	if	if	SCONJ
ejpam-6587	198	5	m	m	NOUN
ejpam-6587	198	6	→	→	SYM
ejpam-6587	198	7	1	1	NUM
ejpam-6587	198	8	,	,	PUNCT
ejpam-6587	198	9	then	then	ADV
ejpam-6587	198	10	the	the	DET
ejpam-6587	198	11	eqs	eqs	X
ejpam-6587	198	12	(	(	PUNCT
ejpam-6587	198	13	27)-(29	27)-(29	NUM
ejpam-6587	198	14	)	)	PUNCT
ejpam-6587	198	15	turn	turn	VERB
ejpam-6587	198	16	into	into	ADP
ejpam-6587	198	17	p(x	p(x	PROPN
ejpam-6587	198	18	,	,	PUNCT
ejpam-6587	198	19	t	t	PROPN
ejpam-6587	198	20	)	)	PUNCT
ejpam-6587	198	21	=	=	SYM
ejpam-6587	198	22	eσb(t)−	eσb(t)−	PROPN
ejpam-6587	198	23	1	1	NUM
ejpam-6587	198	24	2	2	NUM
ejpam-6587	198	25	σ2	σ2	PROPN
ejpam-6587	198	26	t	t	PROPN
ejpam-6587	198	27	(	(	PUNCT
ejpam-6587	198	28	ℓ0	ℓ0	ADV
ejpam-6587	198	29	+	+	PROPN
ejpam-6587	198	30	ℓ2tanh	ℓ2tanh	ADJ
ejpam-6587	198	31	2	2	NUM
ejpam-6587	198	32	(	(	PUNCT
ejpam-6587	198	33	kϖx−	kϖx−	PROPN
ejpam-6587	198	34	kϖ	kϖ	PROPN
ejpam-6587	198	35	(	(	PUNCT
ejpam-6587	198	36	−2ℓ2	−2ℓ2	NUM
ejpam-6587	198	37	3	3	NUM
ejpam-6587	198	38	+	+	CCONJ
ejpam-6587	198	39	ℓ0	ℓ0	ADV
ejpam-6587	198	40	)	)	PUNCT
ejpam-6587	198	41	∫	∫	PROPN
ejpam-6587	198	42	t	t	PROPN
ejpam-6587	198	43	0	0	NUM
ejpam-6587	198	44	eσb(τ)−	eσb(τ)−	NOUN
ejpam-6587	198	45	1	1	NUM
ejpam-6587	198	46	2	2	NUM
ejpam-6587	198	47	σ2τdτ	σ2τdτ	NUM
ejpam-6587	198	48	)	)	PUNCT
ejpam-6587	198	49	)	)	PUNCT
ejpam-6587	198	50	,	,	PUNCT
ejpam-6587	198	51	(	(	PUNCT
ejpam-6587	198	52	30	30	NUM
ejpam-6587	198	53	)	)	PUNCT
ejpam-6587	198	54	and	and	CCONJ
ejpam-6587	198	55	p(x	p(x	PROPN
ejpam-6587	198	56	,	,	PUNCT
ejpam-6587	198	57	t	t	PROPN
ejpam-6587	198	58	)	)	PUNCT
ejpam-6587	199	1	=	=	SYM
ejpam-6587	199	2	eσb(t)−	eσb(t)−	PROPN
ejpam-6587	199	3	1	1	NUM
ejpam-6587	199	4	2	2	NUM
ejpam-6587	199	5	σ2	σ2	PROPN
ejpam-6587	199	6	t	t	PROPN
ejpam-6587	199	7	(	(	PUNCT
ejpam-6587	199	8	ℓ0	ℓ0	ADV
ejpam-6587	199	9	+	+	NOUN
ejpam-6587	199	10	ℓ2sech	ℓ2sech	NOUN
ejpam-6587	199	11	2	2	NUM
ejpam-6587	199	12	(	(	PUNCT
ejpam-6587	199	13	kϖx−	kϖx−	PROPN
ejpam-6587	199	14	kϖ	kϖ	PROPN
ejpam-6587	199	15	(	(	PUNCT
ejpam-6587	199	16	ℓ2	ℓ2	PROPN
ejpam-6587	199	17	3	3	NUM
ejpam-6587	199	18	+	+	CCONJ
ejpam-6587	199	19	ℓ0	ℓ0	ADV
ejpam-6587	199	20	)	)	PUNCT
ejpam-6587	199	21	∫	∫	PROPN
ejpam-6587	199	22	t	t	PROPN
ejpam-6587	199	23	0	0	NUM
ejpam-6587	199	24	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	199	25	1	1	NUM
ejpam-6587	199	26	2	2	NUM
ejpam-6587	199	27	σ2τdτ	σ2τdτ	NUM
ejpam-6587	199	28	)	)	PUNCT
ejpam-6587	199	29	)	)	PUNCT
ejpam-6587	199	30	)	)	PUNCT
ejpam-6587	199	31	.	.	PUNCT
ejpam-6587	200	1	(	(	PUNCT
ejpam-6587	200	2	31	31	NUM
ejpam-6587	200	3	)	)	PUNCT
ejpam-6587	200	4	3.2	3.2	NUM
ejpam-6587	200	5	.	.	PUNCT
ejpam-6587	201	1	grem	grem	NOUN
ejpam-6587	201	2	-	-	NOUN
ejpam-6587	201	3	method	method	NOUN
ejpam-6587	201	4	plugging	plug	VERB
ejpam-6587	201	5	eq	eq	NOUN
ejpam-6587	201	6	.	.	PUNCT
ejpam-6587	202	1	(	(	PUNCT
ejpam-6587	202	2	16	16	NUM
ejpam-6587	202	3	)	)	PUNCT
ejpam-6587	202	4	into	into	ADP
ejpam-6587	202	5	eqs	eqs	X
ejpam-6587	202	6	(	(	PUNCT
ejpam-6587	202	7	2	2	NUM
ejpam-6587	202	8	)	)	PUNCT
ejpam-6587	202	9	,	,	PUNCT
ejpam-6587	202	10	we	we	PRON
ejpam-6587	202	11	acquire	acquire	VERB
ejpam-6587	202	12	the	the	DET
ejpam-6587	202	13	solutions	solution	NOUN
ejpam-6587	202	14	of	of	ADP
ejpam-6587	202	15	skdv	skdv	NOUN
ejpam-6587	202	16	eq	eq	ADP
ejpam-6587	202	17	.	.	PUNCT
ejpam-6587	203	1	(	(	PUNCT
ejpam-6587	203	2	1	1	X
ejpam-6587	203	3	)	)	PUNCT
ejpam-6587	203	4	as	as	ADP
ejpam-6587	203	5	p(x	p(x	PROPN
ejpam-6587	203	6	,	,	PUNCT
ejpam-6587	203	7	t	t	PROPN
ejpam-6587	203	8	)	)	PUNCT
ejpam-6587	203	9	=	=	SYM
ejpam-6587	204	1	v(η)e[σb(t)−	v(η)e[σb(t)−	NUM
ejpam-6587	204	2	1	1	NUM
ejpam-6587	204	3	2	2	NUM
ejpam-6587	204	4	σ2	σ2	PROPN
ejpam-6587	204	5	t	t	PROPN
ejpam-6587	204	6	]	]	PUNCT
ejpam-6587	204	7	,	,	PUNCT
ejpam-6587	204	8	η	η	PROPN
ejpam-6587	204	9	=	=	PROPN
ejpam-6587	204	10	kx−	kx−	PROPN
ejpam-6587	204	11	akℓ0	akℓ0	PROPN
ejpam-6587	204	12	∫	∫	PROPN
ejpam-6587	204	13	t	t	PROPN
ejpam-6587	204	14	0	0	NUM
ejpam-6587	204	15	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	204	16	1	1	NUM
ejpam-6587	204	17	2	2	NUM
ejpam-6587	204	18	σ2τdτ	σ2τdτ	NOUN
ejpam-6587	204	19	.	.	PUNCT
ejpam-6587	205	1	(	(	PUNCT
ejpam-6587	205	2	32	32	NUM
ejpam-6587	205	3	)	)	PUNCT
ejpam-6587	205	4	if	if	SCONJ
ejpam-6587	205	5	ps	ps	PROPN
ejpam-6587	205	6	>	>	X
ejpam-6587	205	7	0	0	PROPN
ejpam-6587	205	8	,	,	PUNCT
ejpam-6587	205	9	then	then	ADV
ejpam-6587	205	10	the	the	DET
ejpam-6587	205	11	skdv	skdv	NOUN
ejpam-6587	205	12	eq	eq	ADP
ejpam-6587	205	13	.	.	PUNCT
ejpam-6587	206	1	(	(	PUNCT
ejpam-6587	206	2	1	1	NUM
ejpam-6587	206	3	)	)	PUNCT
ejpam-6587	206	4	,	,	PUNCT
ejpam-6587	206	5	utilizing	utilize	VERB
ejpam-6587	206	6	(	(	PUNCT
ejpam-6587	206	7	17)-(21	17)-(21	NUM
ejpam-6587	206	8	)	)	PUNCT
ejpam-6587	206	9	,	,	PUNCT
ejpam-6587	206	10	has	have	VERB
ejpam-6587	206	11	the	the	DET
ejpam-6587	206	12	solutions	solution	NOUN
ejpam-6587	206	13	:	:	PUNCT
ejpam-6587	206	14	p1(x	p1(x	NOUN
ejpam-6587	206	15	,	,	PUNCT
ejpam-6587	206	16	t	t	PROPN
ejpam-6587	206	17	)	)	PUNCT
ejpam-6587	206	18	=	=	PUNCT
ejpam-6587	207	1	(	(	PUNCT
ejpam-6587	207	2	ℓ0	ℓ0	ADV
ejpam-6587	207	3	+	+	CCONJ
ejpam-6587	207	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	207	5	s	s	PART
ejpam-6587	207	6	tan2	tan2	PROPN
ejpam-6587	207	7	(	(	PUNCT
ejpam-6587	207	8	√	√	NUM
ejpam-6587	207	9	psη	psη	NOUN
ejpam-6587	207	10	)	)	PUNCT
ejpam-6587	207	11	)	)	PUNCT
ejpam-6587	208	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	208	2	1	1	NUM
ejpam-6587	208	3	2	2	NUM
ejpam-6587	208	4	σ2	σ2	PROPN
ejpam-6587	208	5	t	t	PROPN
ejpam-6587	208	6	]	]	PUNCT
ejpam-6587	208	7	,	,	PUNCT
ejpam-6587	208	8	(	(	PUNCT
ejpam-6587	208	9	33	33	NUM
ejpam-6587	208	10	)	)	PUNCT
ejpam-6587	208	11	p2(x	p2(x	PROPN
ejpam-6587	208	12	,	,	PUNCT
ejpam-6587	208	13	t	t	PROPN
ejpam-6587	208	14	)	)	PUNCT
ejpam-6587	208	15	=	=	PUNCT
ejpam-6587	209	1	(	(	PUNCT
ejpam-6587	209	2	ℓ0	ℓ0	INTJ
ejpam-6587	209	3	−	−	PROPN
ejpam-6587	209	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	209	5	s	s	PART
ejpam-6587	209	6	cot2	cot2	NOUN
ejpam-6587	209	7	(	(	PUNCT
ejpam-6587	209	8	√	√	NUM
ejpam-6587	209	9	psη	psη	NOUN
ejpam-6587	209	10	)	)	PUNCT
ejpam-6587	209	11	)	)	PUNCT
ejpam-6587	210	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	210	2	1	1	NUM
ejpam-6587	210	3	2	2	NUM
ejpam-6587	210	4	σ2	σ2	PROPN
ejpam-6587	210	5	t	t	PROPN
ejpam-6587	210	6	]	]	PUNCT
ejpam-6587	210	7	,	,	PUNCT
ejpam-6587	210	8	(	(	PUNCT
ejpam-6587	210	9	34	34	NUM
ejpam-6587	210	10	)	)	PUNCT
ejpam-6587	210	11	p3(x	p3(x	PROPN
ejpam-6587	210	12	,	,	PUNCT
ejpam-6587	210	13	t	t	PROPN
ejpam-6587	210	14	)	)	PUNCT
ejpam-6587	210	15	=	=	PUNCT
ejpam-6587	211	1	(	(	PUNCT
ejpam-6587	211	2	ℓ0	ℓ0	ADV
ejpam-6587	211	3	+	+	CCONJ
ejpam-6587	211	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	211	5	s	s	X
ejpam-6587	211	6	(	(	PUNCT
ejpam-6587	211	7	tan	tan	PROPN
ejpam-6587	211	8	(	(	PUNCT
ejpam-6587	211	9	√	√	PROPN
ejpam-6587	211	10	4psη)±	4psη)±	NUM
ejpam-6587	211	11	sec	sec	PROPN
ejpam-6587	211	12	(	(	PUNCT
ejpam-6587	211	13	√	√	NUM
ejpam-6587	211	14	4psη	4psη	NUM
ejpam-6587	211	15	)	)	PUNCT
ejpam-6587	211	16	)	)	PUNCT
ejpam-6587	211	17	2	2	X
ejpam-6587	211	18	)	)	PUNCT
ejpam-6587	211	19	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	211	20	1	1	NUM
ejpam-6587	211	21	2	2	NUM
ejpam-6587	211	22	σ2	σ2	PROPN
ejpam-6587	211	23	t	t	PROPN
ejpam-6587	211	24	]	]	PUNCT
ejpam-6587	211	25	,	,	PUNCT
ejpam-6587	211	26	(	(	PUNCT
ejpam-6587	211	27	35	35	NUM
ejpam-6587	211	28	)	)	PUNCT
ejpam-6587	211	29	p4(x	p4(x	NUM
ejpam-6587	211	30	,	,	PUNCT
ejpam-6587	211	31	t	t	PROPN
ejpam-6587	211	32	)	)	PUNCT
ejpam-6587	211	33	=	=	PUNCT
ejpam-6587	211	34	(	(	PUNCT
ejpam-6587	211	35	ℓ0	ℓ0	INTJ
ejpam-6587	211	36	−	−	PROPN
ejpam-6587	211	37	ℓ2p	ℓ2p	PROPN
ejpam-6587	211	38	s	s	X
ejpam-6587	211	39	(	(	PUNCT
ejpam-6587	211	40	cot	cot	NOUN
ejpam-6587	211	41	(	(	PUNCT
ejpam-6587	211	42	√	√	PROPN
ejpam-6587	211	43	4psη)±	4psη)±	NUM
ejpam-6587	211	44	csc	csc	PROPN
ejpam-6587	211	45	(	(	PUNCT
ejpam-6587	211	46	√	√	NUM
ejpam-6587	211	47	4psη	4psη	NUM
ejpam-6587	211	48	)	)	PUNCT
ejpam-6587	211	49	)	)	PUNCT
ejpam-6587	211	50	2	2	X
ejpam-6587	211	51	)	)	PUNCT
ejpam-6587	211	52	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	211	53	1	1	NUM
ejpam-6587	211	54	2	2	NUM
ejpam-6587	211	55	σ2	σ2	PROPN
ejpam-6587	211	56	t	t	PROPN
ejpam-6587	211	57	]	]	PUNCT
ejpam-6587	211	58	,	,	PUNCT
ejpam-6587	211	59	(	(	PUNCT
ejpam-6587	211	60	36	36	NUM
ejpam-6587	211	61	)	)	PUNCT
ejpam-6587	211	62	p5(x	p5(x	NUM
ejpam-6587	211	63	,	,	PUNCT
ejpam-6587	211	64	t	t	PROPN
ejpam-6587	211	65	)	)	PUNCT
ejpam-6587	211	66	=	=	PUNCT
ejpam-6587	212	1	(	(	PUNCT
ejpam-6587	212	2	ℓ0	ℓ0	ADV
ejpam-6587	212	3	+	+	CCONJ
ejpam-6587	212	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	212	5	2s	2s	PROPN
ejpam-6587	212	6	(	(	PUNCT
ejpam-6587	212	7	tan	tan	PROPN
ejpam-6587	212	8	(	(	PUNCT
ejpam-6587	212	9	1	1	NUM
ejpam-6587	212	10	2	2	NUM
ejpam-6587	212	11	√	√	PROPN
ejpam-6587	212	12	psη)−	psη)−	NOUN
ejpam-6587	212	13	cot	cot	NOUN
ejpam-6587	212	14	(	(	PUNCT
ejpam-6587	212	15	1	1	NUM
ejpam-6587	212	16	2	2	NUM
ejpam-6587	212	17	√	√	NUM
ejpam-6587	212	18	psη	psη	NOUN
ejpam-6587	212	19	)	)	PUNCT
ejpam-6587	212	20	)	)	PUNCT
ejpam-6587	212	21	2	2	X
ejpam-6587	212	22	)	)	PUNCT
ejpam-6587	212	23	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	212	24	1	1	NUM
ejpam-6587	212	25	2	2	NUM
ejpam-6587	212	26	σ2	σ2	PROPN
ejpam-6587	212	27	t	t	PROPN
ejpam-6587	212	28	]	]	PUNCT
ejpam-6587	212	29	.	.	PUNCT
ejpam-6587	213	1	(	(	PUNCT
ejpam-6587	213	2	37	37	NUM
ejpam-6587	213	3	)	)	PUNCT
ejpam-6587	213	4	while	while	SCONJ
ejpam-6587	213	5	,	,	PUNCT
ejpam-6587	213	6	if	if	SCONJ
ejpam-6587	213	7	ps	ps	PROPN
ejpam-6587	213	8	<	<	X
ejpam-6587	213	9	0	0	PROPN
ejpam-6587	213	10	,	,	PUNCT
ejpam-6587	213	11	then	then	ADV
ejpam-6587	213	12	the	the	DET
ejpam-6587	213	13	skdv	skdv	NOUN
ejpam-6587	213	14	eq	eq	ADP
ejpam-6587	213	15	.	.	PUNCT
ejpam-6587	214	1	(	(	PUNCT
ejpam-6587	214	2	1	1	NUM
ejpam-6587	214	3	)	)	PUNCT
ejpam-6587	214	4	,	,	PUNCT
ejpam-6587	214	5	utilizing	utilize	VERB
ejpam-6587	214	6	(	(	PUNCT
ejpam-6587	214	7	22)-(25	22)-(25	NOUN
ejpam-6587	214	8	)	)	PUNCT
ejpam-6587	214	9	,	,	PUNCT
ejpam-6587	214	10	has	have	VERB
ejpam-6587	214	11	the	the	DET
ejpam-6587	214	12	solutions	solution	NOUN
ejpam-6587	214	13	:	:	PUNCT
ejpam-6587	214	14	p6(x	p6(x	PROPN
ejpam-6587	214	15	,	,	PUNCT
ejpam-6587	214	16	t	t	PROPN
ejpam-6587	214	17	)	)	PUNCT
ejpam-6587	214	18	=	=	PUNCT
ejpam-6587	215	1	(	(	PUNCT
ejpam-6587	215	2	ℓ0	ℓ0	ADV
ejpam-6587	215	3	+	+	CCONJ
ejpam-6587	215	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	215	5	s	s	PART
ejpam-6587	215	6	tanh2	tanh2	NOUN
ejpam-6587	215	7	(	(	PUNCT
ejpam-6587	215	8	√	√	NUM
ejpam-6587	215	9	−psη	−psη	NUM
ejpam-6587	215	10	)	)	PUNCT
ejpam-6587	215	11	)	)	PUNCT
ejpam-6587	215	12	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	215	13	1	1	NUM
ejpam-6587	215	14	2	2	NUM
ejpam-6587	215	15	σ2	σ2	PROPN
ejpam-6587	215	16	t	t	PROPN
ejpam-6587	215	17	]	]	PUNCT
ejpam-6587	215	18	,	,	PUNCT
ejpam-6587	215	19	(	(	PUNCT
ejpam-6587	215	20	38	38	NUM
ejpam-6587	215	21	)	)	PUNCT
ejpam-6587	215	22	p7(x	p7(x	PROPN
ejpam-6587	215	23	,	,	PUNCT
ejpam-6587	215	24	t	t	PROPN
ejpam-6587	215	25	)	)	PUNCT
ejpam-6587	215	26	=	=	PUNCT
ejpam-6587	216	1	(	(	PUNCT
ejpam-6587	216	2	ℓ0	ℓ0	ADV
ejpam-6587	216	3	+	+	CCONJ
ejpam-6587	216	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	216	5	s	s	PART
ejpam-6587	216	6	coth2	coth2	NOUN
ejpam-6587	216	7	(	(	PUNCT
ejpam-6587	216	8	√	√	NUM
ejpam-6587	216	9	−psη	−psη	NUM
ejpam-6587	216	10	)	)	PUNCT
ejpam-6587	216	11	)	)	PUNCT
ejpam-6587	217	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	217	2	1	1	NUM
ejpam-6587	217	3	2	2	NUM
ejpam-6587	217	4	σ2	σ2	PROPN
ejpam-6587	217	5	t	t	PROPN
ejpam-6587	217	6	]	]	PUNCT
ejpam-6587	217	7	,	,	PUNCT
ejpam-6587	217	8	(	(	PUNCT
ejpam-6587	217	9	39	39	NUM
ejpam-6587	217	10	)	)	PUNCT
ejpam-6587	217	11	p8(x	p8(x	PROPN
ejpam-6587	217	12	,	,	PUNCT
ejpam-6587	217	13	t	t	PROPN
ejpam-6587	217	14	)	)	PUNCT
ejpam-6587	217	15	=	=	PUNCT
ejpam-6587	218	1	(	(	PUNCT
ejpam-6587	218	2	ℓ0	ℓ0	ADV
ejpam-6587	218	3	+	+	CCONJ
ejpam-6587	218	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	218	5	s	s	X
ejpam-6587	218	6	(	(	PUNCT
ejpam-6587	218	7	coth	coth	PROPN
ejpam-6587	218	8	(	(	PUNCT
ejpam-6587	218	9	√	√	NUM
ejpam-6587	218	10	−4psη)±	−4psη)±	NOUN
ejpam-6587	218	11	csch	csch	NOUN
ejpam-6587	218	12	(	(	PUNCT
ejpam-6587	218	13	√	√	NUM
ejpam-6587	218	14	−4psη	−4psη	NUM
ejpam-6587	218	15	)	)	PUNCT
ejpam-6587	218	16	)	)	PUNCT
ejpam-6587	218	17	2	2	X
ejpam-6587	218	18	)	)	PUNCT
ejpam-6587	218	19	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	218	20	1	1	NUM
ejpam-6587	218	21	2	2	NUM
ejpam-6587	218	22	σ2	σ2	PROPN
ejpam-6587	218	23	t	t	PROPN
ejpam-6587	218	24	]	]	PUNCT
ejpam-6587	218	25	,	,	PUNCT
ejpam-6587	218	26	(	(	PUNCT
ejpam-6587	218	27	40	40	NUM
ejpam-6587	218	28	)	)	PUNCT
ejpam-6587	218	29	a.	a.	NOUN
ejpam-6587	218	30	alshuhail	alshuhail	NOUN
ejpam-6587	218	31	et	et	PROPN
ejpam-6587	218	32	al	al	PROPN
ejpam-6587	218	33	.	.	PUNCT
ejpam-6587	218	34	/	/	SYM
ejpam-6587	218	35	eur	eur	PROPN
ejpam-6587	218	36	.	.	PUNCT
ejpam-6587	219	1	j.	j.	PROPN
ejpam-6587	219	2	pure	pure	PROPN
ejpam-6587	219	3	appl	appl	PROPN
ejpam-6587	219	4	.	.	PROPN
ejpam-6587	219	5	math	math	PROPN
ejpam-6587	219	6	,	,	PUNCT
ejpam-6587	219	7	18	18	NUM
ejpam-6587	219	8	(	(	PUNCT
ejpam-6587	219	9	4	4	NUM
ejpam-6587	219	10	)	)	PUNCT
ejpam-6587	219	11	(	(	PUNCT
ejpam-6587	219	12	2025	2025	NUM
ejpam-6587	219	13	)	)	PUNCT
ejpam-6587	219	14	,	,	PUNCT
ejpam-6587	219	15	6587	6587	NUM
ejpam-6587	219	16	10	10	NUM
ejpam-6587	219	17	of	of	ADP
ejpam-6587	219	18	16	16	NUM
ejpam-6587	219	19	p9(x	p9(x	NUM
ejpam-6587	219	20	,	,	PUNCT
ejpam-6587	219	21	t	t	PROPN
ejpam-6587	219	22	)	)	PUNCT
ejpam-6587	219	23	=	=	PUNCT
ejpam-6587	220	1	(	(	PUNCT
ejpam-6587	220	2	ℓ0	ℓ0	ADV
ejpam-6587	220	3	+	+	CCONJ
ejpam-6587	220	4	ℓ2p	ℓ2p	PROPN
ejpam-6587	220	5	2s	2s	PROPN
ejpam-6587	220	6	(	(	PUNCT
ejpam-6587	220	7	tanh	tanh	PROPN
ejpam-6587	220	8	(	(	PUNCT
ejpam-6587	220	9	1	1	NUM
ejpam-6587	220	10	2	2	NUM
ejpam-6587	220	11	√	√	NUM
ejpam-6587	220	12	−psη	−psη	NOUN
ejpam-6587	220	13	)	)	PUNCT
ejpam-6587	220	14	+	+	CCONJ
ejpam-6587	220	15	coth	coth	X
ejpam-6587	220	16	(	(	PUNCT
ejpam-6587	220	17	1	1	NUM
ejpam-6587	220	18	2	2	NUM
ejpam-6587	220	19	√	√	NUM
ejpam-6587	220	20	−psη	−psη	NUM
ejpam-6587	220	21	)	)	PUNCT
ejpam-6587	220	22	)	)	PUNCT
ejpam-6587	220	23	2	2	X
ejpam-6587	220	24	)	)	PUNCT
ejpam-6587	220	25	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	220	26	1	1	NUM
ejpam-6587	220	27	2	2	NUM
ejpam-6587	220	28	σ2	σ2	PROPN
ejpam-6587	220	29	t	t	PROPN
ejpam-6587	220	30	]	]	PUNCT
ejpam-6587	220	31	.	.	PUNCT
ejpam-6587	221	1	(	(	PUNCT
ejpam-6587	221	2	41	41	NUM
ejpam-6587	221	3	)	)	PUNCT
ejpam-6587	221	4	if	if	SCONJ
ejpam-6587	221	5	s	s	VERB
ejpam-6587	221	6	̸=	̸=	PROPN
ejpam-6587	221	7	0	0	NUM
ejpam-6587	221	8	and	and	CCONJ
ejpam-6587	221	9	p	p	X
ejpam-6587	221	10	=	=	PROPN
ejpam-6587	221	11	0	0	NUM
ejpam-6587	221	12	,	,	PUNCT
ejpam-6587	221	13	then	then	ADV
ejpam-6587	221	14	skdv	skdv	VERB
ejpam-6587	221	15	eq	eq	ADP
ejpam-6587	221	16	.	.	PUNCT
ejpam-6587	222	1	(	(	PUNCT
ejpam-6587	222	2	1	1	NUM
ejpam-6587	222	3	)	)	PUNCT
ejpam-6587	222	4	,	,	PUNCT
ejpam-6587	222	5	utilizing	utilize	VERB
ejpam-6587	222	6	(	(	PUNCT
ejpam-6587	222	7	26	26	NUM
ejpam-6587	222	8	)	)	PUNCT
ejpam-6587	222	9	,	,	PUNCT
ejpam-6587	222	10	has	have	VERB
ejpam-6587	222	11	the	the	DET
ejpam-6587	222	12	solution	solution	NOUN
ejpam-6587	222	13	:	:	PUNCT
ejpam-6587	222	14	p10(x	p10(x	ADJ
ejpam-6587	222	15	,	,	PUNCT
ejpam-6587	222	16	t	t	PROPN
ejpam-6587	222	17	)	)	PUNCT
ejpam-6587	222	18	=	=	PUNCT
ejpam-6587	222	19	(	(	PUNCT
ejpam-6587	222	20	−1	−1	NOUN
ejpam-6587	222	21	sη	sη	NOUN
ejpam-6587	222	22	)	)	PUNCT
ejpam-6587	223	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	223	2	1	1	NUM
ejpam-6587	223	3	2	2	NUM
ejpam-6587	223	4	σ2	σ2	PROPN
ejpam-6587	223	5	t	t	PROPN
ejpam-6587	223	6	]	]	PUNCT
ejpam-6587	223	7	,	,	PUNCT
ejpam-6587	223	8	(	(	PUNCT
ejpam-6587	223	9	42	42	NUM
ejpam-6587	223	10	)	)	PUNCT
ejpam-6587	223	11	where	where	SCONJ
ejpam-6587	223	12	η	η	PROPN
ejpam-6587	223	13	=	=	PROPN
ejpam-6587	223	14	kx−	kx−	PROPN
ejpam-6587	223	15	akℓ0	akℓ0	PROPN
ejpam-6587	223	16	∫	∫	PROPN
ejpam-6587	223	17	t	t	PROPN
ejpam-6587	223	18	0	0	NUM
ejpam-6587	223	19	e	e	NOUN
ejpam-6587	223	20	σb(τ)−	σb(τ)−	NOUN
ejpam-6587	223	21	1	1	NUM
ejpam-6587	223	22	2	2	NUM
ejpam-6587	223	23	σ2τdτ	σ2τdτ	NOUN
ejpam-6587	223	24	.	.	PUNCT
ejpam-6587	224	1	remark	remark	PROPN
ejpam-6587	224	2	1	1	NUM
ejpam-6587	224	3	.	.	PUNCT
ejpam-6587	225	1	putting	put	VERB
ejpam-6587	225	2	p	p	NOUN
ejpam-6587	225	3	=	=	PUNCT
ejpam-6587	225	4	s	s	NOUN
ejpam-6587	225	5	=	=	SYM
ejpam-6587	225	6	3	3	NUM
ejpam-6587	225	7	2	2	NUM
ejpam-6587	225	8	,	,	PUNCT
ejpam-6587	225	9	ℓ0	ℓ0	ADV
ejpam-6587	225	10	=	=	PUNCT
ejpam-6587	225	11	−c	−c	NOUN
ejpam-6587	225	12	6	6	NUM
ejpam-6587	225	13	,	,	PUNCT
ejpam-6587	225	14	ℓ2	ℓ2	NOUN
ejpam-6587	225	15	=	=	PUNCT
ejpam-6587	225	16	−c	−c	NOUN
ejpam-6587	225	17	2	2	NUM
ejpam-6587	225	18	,	,	PUNCT
ejpam-6587	226	1	k	k	X
ejpam-6587	226	2	=	=	PUNCT
ejpam-6587	227	1	√	√	PROPN
ejpam-6587	227	2	c	c	NOUN
ejpam-6587	227	3	3	3	NUM
ejpam-6587	227	4	and	and	CCONJ
ejpam-6587	227	5	σ	σ	NUM
ejpam-6587	227	6	=	=	SYM
ejpam-6587	227	7	0	0	PUNCT
ejpam-6587	227	8	(	(	PUNCT
ejpam-6587	227	9	i.e.	i.e.	X
ejpam-6587	227	10	no	no	DET
ejpam-6587	227	11	noise	noise	NOUN
ejpam-6587	227	12	)	)	PUNCT
ejpam-6587	227	13	in	in	ADP
ejpam-6587	227	14	eqs	eqs	X
ejpam-6587	227	15	(	(	PUNCT
ejpam-6587	227	16	33	33	NUM
ejpam-6587	227	17	)	)	PUNCT
ejpam-6587	227	18	,	,	PUNCT
ejpam-6587	227	19	(	(	PUNCT
ejpam-6587	227	20	34	34	NUM
ejpam-6587	227	21	)	)	PUNCT
ejpam-6587	227	22	,	,	PUNCT
ejpam-6587	227	23	(	(	PUNCT
ejpam-6587	227	24	38	38	NUM
ejpam-6587	227	25	)	)	PUNCT
ejpam-6587	227	26	and	and	CCONJ
ejpam-6587	227	27	(	(	PUNCT
ejpam-6587	227	28	39	39	NUM
ejpam-6587	227	29	)	)	PUNCT
ejpam-6587	227	30	,	,	PUNCT
ejpam-6587	227	31	we	we	PRON
ejpam-6587	227	32	acquired	acquire	VERB
ejpam-6587	227	33	the	the	DET
ejpam-6587	227	34	results	result	NOUN
ejpam-6587	227	35	that	that	PRON
ejpam-6587	227	36	reported	report	VERB
ejpam-6587	227	37	in	in	ADP
ejpam-6587	227	38	[	[	X
ejpam-6587	227	39	13	13	NUM
ejpam-6587	227	40	]	]	PUNCT
ejpam-6587	227	41	as	as	SCONJ
ejpam-6587	227	42	follows	follow	VERB
ejpam-6587	227	43	:	:	PUNCT
ejpam-6587	227	44	p(x	p(x	PROPN
ejpam-6587	227	45	,	,	PUNCT
ejpam-6587	227	46	t	t	PROPN
ejpam-6587	227	47	)	)	PUNCT
ejpam-6587	227	48	=	=	VERB
ejpam-6587	228	1	−c	−c	NOUN
ejpam-6587	228	2	6	6	NUM
ejpam-6587	228	3	(	(	PUNCT
ejpam-6587	228	4	1	1	NUM
ejpam-6587	228	5	+	+	SYM
ejpam-6587	228	6	3	3	NUM
ejpam-6587	228	7	tan2	tan2	PROPN
ejpam-6587	228	8	(	(	PUNCT
ejpam-6587	228	9	√	√	NUM
ejpam-6587	228	10	−c	−c	NOUN
ejpam-6587	228	11	2	2	NUM
ejpam-6587	228	12	(	(	PUNCT
ejpam-6587	228	13	x−	x−	PROPN
ejpam-6587	228	14	ct	ct	PROPN
ejpam-6587	228	15	)	)	PUNCT
ejpam-6587	228	16	)	)	PUNCT
ejpam-6587	228	17	)	)	PUNCT
ejpam-6587	228	18	,	,	PUNCT
ejpam-6587	228	19	p(x	p(x	PROPN
ejpam-6587	228	20	,	,	PUNCT
ejpam-6587	228	21	t	t	PROPN
ejpam-6587	228	22	)	)	PUNCT
ejpam-6587	228	23	=	=	VERB
ejpam-6587	229	1	−c	−c	NOUN
ejpam-6587	229	2	6	6	NUM
ejpam-6587	229	3	(	(	PUNCT
ejpam-6587	229	4	1	1	NUM
ejpam-6587	229	5	+	+	SYM
ejpam-6587	229	6	3	3	NUM
ejpam-6587	229	7	cot2	cot2	NOUN
ejpam-6587	229	8	(	(	PUNCT
ejpam-6587	229	9	√	√	NUM
ejpam-6587	229	10	−c	−c	NOUN
ejpam-6587	229	11	2	2	NUM
ejpam-6587	229	12	(	(	PUNCT
ejpam-6587	229	13	x−	x−	PROPN
ejpam-6587	229	14	ct	ct	PROPN
ejpam-6587	229	15	)	)	PUNCT
ejpam-6587	229	16	)	)	PUNCT
ejpam-6587	229	17	)	)	PUNCT
ejpam-6587	229	18	,	,	PUNCT
ejpam-6587	229	19	p(x	p(x	PROPN
ejpam-6587	229	20	,	,	PUNCT
ejpam-6587	229	21	t	t	PROPN
ejpam-6587	229	22	)	)	PUNCT
ejpam-6587	229	23	=	=	VERB
ejpam-6587	230	1	−c	−c	NOUN
ejpam-6587	230	2	6	6	NUM
ejpam-6587	230	3	(	(	PUNCT
ejpam-6587	230	4	1−	1−	NUM
ejpam-6587	230	5	3	3	NUM
ejpam-6587	230	6	tanh2	tanh2	NOUN
ejpam-6587	230	7	(	(	PUNCT
ejpam-6587	230	8	√	√	NUM
ejpam-6587	230	9	−c	−c	NOUN
ejpam-6587	230	10	2	2	NUM
ejpam-6587	230	11	(	(	PUNCT
ejpam-6587	230	12	x−	x−	PROPN
ejpam-6587	230	13	ct	ct	PROPN
ejpam-6587	230	14	)	)	PUNCT
ejpam-6587	230	15	)	)	PUNCT
ejpam-6587	230	16	)	)	PUNCT
ejpam-6587	230	17	,	,	PUNCT
ejpam-6587	230	18	and	and	CCONJ
ejpam-6587	230	19	p(x	p(x	PROPN
ejpam-6587	230	20	,	,	PUNCT
ejpam-6587	230	21	t	t	PROPN
ejpam-6587	230	22	)	)	PUNCT
ejpam-6587	230	23	=	=	VERB
ejpam-6587	231	1	−c	−c	NOUN
ejpam-6587	231	2	6	6	NUM
ejpam-6587	231	3	(	(	PUNCT
ejpam-6587	231	4	1−	1−	NUM
ejpam-6587	231	5	3	3	NUM
ejpam-6587	231	6	coth2	coth2	PROPN
ejpam-6587	231	7	(	(	PUNCT
ejpam-6587	231	8	√	√	NUM
ejpam-6587	231	9	−c	−c	NOUN
ejpam-6587	231	10	2	2	NUM
ejpam-6587	231	11	(	(	PUNCT
ejpam-6587	231	12	x−	x−	PROPN
ejpam-6587	231	13	ct	ct	PROPN
ejpam-6587	231	14	)	)	PUNCT
ejpam-6587	231	15	)	)	PUNCT
ejpam-6587	231	16	)	)	PUNCT
ejpam-6587	231	17	.	.	PUNCT
ejpam-6587	232	1	remark	remark	NOUN
ejpam-6587	232	2	2	2	NUM
ejpam-6587	232	3	.	.	PUNCT
ejpam-6587	233	1	if	if	SCONJ
ejpam-6587	233	2	we	we	PRON
ejpam-6587	233	3	choose	choose	VERB
ejpam-6587	233	4	ℓ0	ℓ0	PROPN
ejpam-6587	233	5	=	=	PROPN
ejpam-6587	233	6	−λ	−λ	PROPN
ejpam-6587	233	7	6	6	NUM
ejpam-6587	233	8	and	and	CCONJ
ejpam-6587	233	9	ℓ2	ℓ2	PROPN
ejpam-6587	233	10	=	=	PUNCT
ejpam-6587	233	11	−λ	−λ	VERB
ejpam-6587	233	12	2	2	NUM
ejpam-6587	233	13	in	in	ADP
ejpam-6587	233	14	eqs	eqs	X
ejpam-6587	233	15	(	(	PUNCT
ejpam-6587	233	16	33	33	NUM
ejpam-6587	233	17	)	)	PUNCT
ejpam-6587	233	18	,	,	PUNCT
ejpam-6587	233	19	(	(	PUNCT
ejpam-6587	233	20	34	34	NUM
ejpam-6587	233	21	)	)	PUNCT
ejpam-6587	233	22	,	,	PUNCT
ejpam-6587	233	23	(	(	PUNCT
ejpam-6587	233	24	38	38	NUM
ejpam-6587	233	25	)	)	PUNCT
ejpam-6587	233	26	and	and	CCONJ
ejpam-6587	233	27	(	(	PUNCT
ejpam-6587	233	28	39	39	NUM
ejpam-6587	233	29	)	)	PUNCT
ejpam-6587	233	30	,	,	PUNCT
ejpam-6587	233	31	then	then	ADV
ejpam-6587	233	32	we	we	PRON
ejpam-6587	233	33	get	get	VERB
ejpam-6587	233	34	p(x	p(x	PROPN
ejpam-6587	233	35	,	,	PUNCT
ejpam-6587	233	36	t	t	PROPN
ejpam-6587	233	37	)	)	PUNCT
ejpam-6587	233	38	=	=	PUNCT
ejpam-6587	234	1	(	(	PUNCT
ejpam-6587	234	2	−λ	−λ	NOUN
ejpam-6587	234	3	6	6	NUM
ejpam-6587	234	4	+	+	CCONJ
ejpam-6587	234	5	λ	λ	PROPN
ejpam-6587	234	6	2	2	NUM
ejpam-6587	234	7	tan2	tan2	PROPN
ejpam-6587	234	8	(	(	PUNCT
ejpam-6587	234	9	√	√	PROPN
ejpam-6587	234	10	λ	λ	SYM
ejpam-6587	234	11	2	2	NUM
ejpam-6587	234	12	(	(	PUNCT
ejpam-6587	234	13	x−	x−	PROPN
ejpam-6587	234	14	λ	λ	PROPN
ejpam-6587	234	15	∫	∫	PROPN
ejpam-6587	234	16	t	t	PROPN
ejpam-6587	234	17	0	0	NUM
ejpam-6587	234	18	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	234	19	1	1	NUM
ejpam-6587	234	20	2	2	NUM
ejpam-6587	234	21	σ2τdτ	σ2τdτ	NUM
ejpam-6587	234	22	)	)	PUNCT
ejpam-6587	234	23	)	)	PUNCT
ejpam-6587	234	24	)	)	PUNCT
ejpam-6587	235	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	235	2	1	1	NUM
ejpam-6587	235	3	2	2	NUM
ejpam-6587	235	4	σ2	σ2	PROPN
ejpam-6587	235	5	t	t	PROPN
ejpam-6587	235	6	]	]	PUNCT
ejpam-6587	235	7	p(x	p(x	PROPN
ejpam-6587	235	8	,	,	PUNCT
ejpam-6587	235	9	t	t	PROPN
ejpam-6587	235	10	)	)	PUNCT
ejpam-6587	235	11	=	=	PUNCT
ejpam-6587	236	1	(	(	PUNCT
ejpam-6587	236	2	−λ	−λ	NOUN
ejpam-6587	236	3	6	6	NUM
ejpam-6587	236	4	+	+	CCONJ
ejpam-6587	236	5	λ	λ	PROPN
ejpam-6587	236	6	2	2	NUM
ejpam-6587	236	7	cot2	cot2	NOUN
ejpam-6587	236	8	(	(	PUNCT
ejpam-6587	236	9	√	√	PROPN
ejpam-6587	236	10	λ	λ	SYM
ejpam-6587	236	11	2	2	NUM
ejpam-6587	236	12	(	(	PUNCT
ejpam-6587	236	13	x−	x−	PROPN
ejpam-6587	236	14	λ	λ	PROPN
ejpam-6587	236	15	∫	∫	PROPN
ejpam-6587	236	16	t	t	PROPN
ejpam-6587	236	17	0	0	NUM
ejpam-6587	236	18	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	236	19	1	1	NUM
ejpam-6587	236	20	2	2	NUM
ejpam-6587	236	21	σ2τdτ	σ2τdτ	NUM
ejpam-6587	236	22	)	)	PUNCT
ejpam-6587	236	23	)	)	PUNCT
ejpam-6587	236	24	)	)	PUNCT
ejpam-6587	237	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	237	2	1	1	NUM
ejpam-6587	237	3	2	2	NUM
ejpam-6587	237	4	σ2	σ2	PROPN
ejpam-6587	237	5	t	t	PROPN
ejpam-6587	237	6	]	]	PUNCT
ejpam-6587	237	7	,	,	PUNCT
ejpam-6587	237	8	p(x	p(x	PROPN
ejpam-6587	237	9	,	,	PUNCT
ejpam-6587	237	10	t	t	PROPN
ejpam-6587	237	11	)	)	PUNCT
ejpam-6587	237	12	=	=	PUNCT
ejpam-6587	238	1	(	(	PUNCT
ejpam-6587	238	2	−λ	−λ	NOUN
ejpam-6587	238	3	6	6	NUM
ejpam-6587	238	4	+	+	CCONJ
ejpam-6587	238	5	λ	λ	PROPN
ejpam-6587	238	6	2	2	NUM
ejpam-6587	238	7	tanh2	tanh2	NOUN
ejpam-6587	238	8	(	(	PUNCT
ejpam-6587	238	9	√	√	NUM
ejpam-6587	238	10	−λ	−λ	NUM
ejpam-6587	238	11	2	2	NUM
ejpam-6587	238	12	(	(	PUNCT
ejpam-6587	238	13	x+	x+	X
ejpam-6587	238	14	λ	λ	PROPN
ejpam-6587	238	15	∫	∫	PROPN
ejpam-6587	238	16	t	t	PROPN
ejpam-6587	238	17	0	0	NUM
ejpam-6587	238	18	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	238	19	1	1	NUM
ejpam-6587	238	20	2	2	NUM
ejpam-6587	238	21	σ2τdτ	σ2τdτ	NUM
ejpam-6587	238	22	)	)	PUNCT
ejpam-6587	238	23	)	)	PUNCT
ejpam-6587	238	24	)	)	PUNCT
ejpam-6587	239	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	239	2	1	1	NUM
ejpam-6587	239	3	2	2	NUM
ejpam-6587	239	4	σ2	σ2	PROPN
ejpam-6587	239	5	t	t	PROPN
ejpam-6587	239	6	]	]	PUNCT
ejpam-6587	239	7	,	,	PUNCT
ejpam-6587	239	8	and	and	CCONJ
ejpam-6587	239	9	p(x	p(x	PROPN
ejpam-6587	239	10	,	,	PUNCT
ejpam-6587	239	11	t	t	PROPN
ejpam-6587	239	12	)	)	PUNCT
ejpam-6587	239	13	=	=	PUNCT
ejpam-6587	240	1	(	(	PUNCT
ejpam-6587	240	2	−λ	−λ	NOUN
ejpam-6587	240	3	6	6	NUM
ejpam-6587	240	4	+	+	CCONJ
ejpam-6587	240	5	λ	λ	PROPN
ejpam-6587	240	6	2	2	NUM
ejpam-6587	240	7	coth2(k	coth2(k	NOUN
ejpam-6587	240	8	√	√	PROPN
ejpam-6587	240	9	−ps(x−	−ps(x−	PROPN
ejpam-6587	240	10	6ℓ0	6ℓ0	NUM
ejpam-6587	240	11	∫	∫	PROPN
ejpam-6587	240	12	t	t	PROPN
ejpam-6587	240	13	0	0	NUM
ejpam-6587	240	14	eσb(τ)−	eσb(τ)−	PROPN
ejpam-6587	240	15	1	1	NUM
ejpam-6587	240	16	2	2	NUM
ejpam-6587	240	17	σ2τdτ	σ2τdτ	NUM
ejpam-6587	240	18	)	)	PUNCT
ejpam-6587	240	19	)	)	PUNCT
ejpam-6587	240	20	)	)	PUNCT
ejpam-6587	241	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	241	2	1	1	NUM
ejpam-6587	241	3	2	2	NUM
ejpam-6587	241	4	σ2	σ2	PROPN
ejpam-6587	241	5	t	t	PROPN
ejpam-6587	241	6	]	]	PUNCT
ejpam-6587	241	7	.	.	PUNCT
ejpam-6587	242	1	these	these	DET
ejpam-6587	242	2	results	result	NOUN
ejpam-6587	242	3	extend	extend	VERB
ejpam-6587	242	4	the	the	DET
ejpam-6587	242	5	results	result	NOUN
ejpam-6587	242	6	that	that	PRON
ejpam-6587	242	7	obtained	obtain	VERB
ejpam-6587	242	8	in	in	ADP
ejpam-6587	242	9	[	[	X
ejpam-6587	242	10	11	11	NUM
ejpam-6587	242	11	]	]	PUNCT
ejpam-6587	242	12	as	as	SCONJ
ejpam-6587	242	13	follows	follow	VERB
ejpam-6587	242	14	:	:	PUNCT
ejpam-6587	242	15	p(x	p(x	PROPN
ejpam-6587	242	16	,	,	PUNCT
ejpam-6587	242	17	t	t	PROPN
ejpam-6587	242	18	)	)	PUNCT
ejpam-6587	242	19	=	=	PUNCT
ejpam-6587	243	1	(	(	PUNCT
ejpam-6587	243	2	−λ	−λ	NOUN
ejpam-6587	243	3	6	6	NUM
ejpam-6587	243	4	+	+	CCONJ
ejpam-6587	243	5	λ	λ	PROPN
ejpam-6587	243	6	2	2	NUM
ejpam-6587	243	7	tan2	tan2	PROPN
ejpam-6587	243	8	(	(	PUNCT
ejpam-6587	243	9	√	√	PROPN
ejpam-6587	243	10	λ	λ	SYM
ejpam-6587	243	11	2	2	NUM
ejpam-6587	243	12	(	(	PUNCT
ejpam-6587	243	13	x−	x−	NOUN
ejpam-6587	243	14	λt	λt	ADP
ejpam-6587	243	15	)	)	PUNCT
ejpam-6587	243	16	)	)	PUNCT
ejpam-6587	243	17	)	)	PUNCT
ejpam-6587	244	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	244	2	1	1	NUM
ejpam-6587	244	3	2	2	NUM
ejpam-6587	244	4	σ2	σ2	PROPN
ejpam-6587	244	5	t	t	PROPN
ejpam-6587	244	6	]	]	PUNCT
ejpam-6587	244	7	p(x	p(x	PROPN
ejpam-6587	244	8	,	,	PUNCT
ejpam-6587	244	9	t	t	PROPN
ejpam-6587	244	10	)	)	PUNCT
ejpam-6587	244	11	=	=	PUNCT
ejpam-6587	245	1	(	(	PUNCT
ejpam-6587	245	2	−λ	−λ	NOUN
ejpam-6587	245	3	6	6	NUM
ejpam-6587	245	4	+	+	CCONJ
ejpam-6587	245	5	λ	λ	PROPN
ejpam-6587	245	6	2	2	NUM
ejpam-6587	245	7	cot2	cot2	NOUN
ejpam-6587	245	8	(	(	PUNCT
ejpam-6587	245	9	√	√	PROPN
ejpam-6587	245	10	λ	λ	SYM
ejpam-6587	245	11	2	2	NUM
ejpam-6587	245	12	(	(	PUNCT
ejpam-6587	245	13	x−	x−	NOUN
ejpam-6587	245	14	λt	λt	ADP
ejpam-6587	245	15	)	)	PUNCT
ejpam-6587	245	16	)	)	PUNCT
ejpam-6587	245	17	)	)	PUNCT
ejpam-6587	246	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	246	2	1	1	NUM
ejpam-6587	246	3	2	2	NUM
ejpam-6587	246	4	σ2	σ2	PROPN
ejpam-6587	246	5	t	t	PROPN
ejpam-6587	246	6	]	]	PUNCT
ejpam-6587	246	7	,	,	PUNCT
ejpam-6587	246	8	p(x	p(x	PROPN
ejpam-6587	246	9	,	,	PUNCT
ejpam-6587	246	10	t	t	PROPN
ejpam-6587	246	11	)	)	PUNCT
ejpam-6587	246	12	=	=	PUNCT
ejpam-6587	247	1	(	(	PUNCT
ejpam-6587	247	2	−λ	−λ	NOUN
ejpam-6587	247	3	6	6	NUM
ejpam-6587	247	4	+	+	CCONJ
ejpam-6587	247	5	λ	λ	PROPN
ejpam-6587	247	6	2	2	NUM
ejpam-6587	247	7	tanh2	tanh2	NOUN
ejpam-6587	247	8	(	(	PUNCT
ejpam-6587	247	9	√	√	NUM
ejpam-6587	247	10	−λ	−λ	NUM
ejpam-6587	247	11	2	2	NUM
ejpam-6587	247	12	(	(	PUNCT
ejpam-6587	247	13	x−	x−	NOUN
ejpam-6587	247	14	λt	λt	ADP
ejpam-6587	247	15	)	)	PUNCT
ejpam-6587	247	16	)	)	PUNCT
ejpam-6587	247	17	)	)	PUNCT
ejpam-6587	248	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	248	2	1	1	NUM
ejpam-6587	248	3	2	2	NUM
ejpam-6587	248	4	σ2	σ2	PROPN
ejpam-6587	248	5	t	t	PROPN
ejpam-6587	248	6	]	]	PUNCT
ejpam-6587	248	7	,	,	PUNCT
ejpam-6587	248	8	and	and	CCONJ
ejpam-6587	248	9	p(x	p(x	PROPN
ejpam-6587	248	10	,	,	PUNCT
ejpam-6587	248	11	t	t	PROPN
ejpam-6587	248	12	)	)	PUNCT
ejpam-6587	248	13	=	=	PUNCT
ejpam-6587	249	1	(	(	PUNCT
ejpam-6587	249	2	−λ	−λ	NOUN
ejpam-6587	249	3	6	6	NUM
ejpam-6587	249	4	+	+	CCONJ
ejpam-6587	249	5	λ	λ	PROPN
ejpam-6587	249	6	2	2	NUM
ejpam-6587	249	7	coth2(k	coth2(k	NOUN
ejpam-6587	249	8	√	√	ADP
ejpam-6587	249	9	−ps(x−	−ps(x−	PROPN
ejpam-6587	249	10	λt	λt	ADP
ejpam-6587	249	11	)	)	PUNCT
ejpam-6587	249	12	)	)	PUNCT
ejpam-6587	249	13	)	)	PUNCT
ejpam-6587	250	1	e[σb(t)−	e[σb(t)−	PROPN
ejpam-6587	250	2	1	1	NUM
ejpam-6587	250	3	2	2	NUM
ejpam-6587	250	4	σ2	σ2	PROPN
ejpam-6587	250	5	t	t	PROPN
ejpam-6587	250	6	]	]	PUNCT
ejpam-6587	250	7	.	.	PUNCT
ejpam-6587	251	1	a.	a.	PROPN
ejpam-6587	251	2	alshuhail	alshuhail	PROPN
ejpam-6587	251	3	et	et	PROPN
ejpam-6587	251	4	al	al	PROPN
ejpam-6587	251	5	.	.	PUNCT
ejpam-6587	251	6	/	/	SYM
ejpam-6587	251	7	eur	eur	PROPN
ejpam-6587	251	8	.	.	PUNCT
ejpam-6587	252	1	j.	j.	PROPN
ejpam-6587	252	2	pure	pure	PROPN
ejpam-6587	252	3	appl	appl	PROPN
ejpam-6587	252	4	.	.	PROPN
ejpam-6587	252	5	math	math	PROPN
ejpam-6587	252	6	,	,	PUNCT
ejpam-6587	252	7	18	18	NUM
ejpam-6587	252	8	(	(	PUNCT
ejpam-6587	252	9	4	4	NUM
ejpam-6587	252	10	)	)	PUNCT
ejpam-6587	252	11	(	(	PUNCT
ejpam-6587	252	12	2025	2025	NUM
ejpam-6587	252	13	)	)	PUNCT
ejpam-6587	252	14	,	,	PUNCT
ejpam-6587	252	15	6587	6587	NUM
ejpam-6587	252	16	11	11	NUM
ejpam-6587	252	17	of	of	ADP
ejpam-6587	252	18	16	16	NUM
ejpam-6587	252	19	4	4	NUM
ejpam-6587	252	20	.	.	PUNCT
ejpam-6587	252	21	discussion	discussion	NOUN
ejpam-6587	252	22	and	and	CCONJ
ejpam-6587	252	23	effect	effect	NOUN
ejpam-6587	252	24	of	of	ADP
ejpam-6587	252	25	noise	noise	NOUN
ejpam-6587	252	26	discussion	discussion	NOUN
ejpam-6587	252	27	:	:	PUNCT
ejpam-6587	252	28	in	in	ADP
ejpam-6587	252	29	this	this	DET
ejpam-6587	252	30	study	study	NOUN
ejpam-6587	252	31	,	,	PUNCT
ejpam-6587	252	32	we	we	PRON
ejpam-6587	252	33	acquired	acquire	VERB
ejpam-6587	252	34	the	the	DET
ejpam-6587	252	35	stochastic	stochastic	ADJ
ejpam-6587	252	36	solutions	solution	NOUN
ejpam-6587	252	37	of	of	ADP
ejpam-6587	252	38	the	the	DET
ejpam-6587	252	39	skdv	skdv	NOUN
ejpam-6587	252	40	eq	eq	ADP
ejpam-6587	252	41	.	.	PUNCT
ejpam-6587	253	1	(	(	PUNCT
ejpam-6587	253	2	1	1	NUM
ejpam-6587	253	3	)	)	PUNCT
ejpam-6587	253	4	.	.	PUNCT
ejpam-6587	254	1	we	we	PRON
ejpam-6587	254	2	employed	employ	VERB
ejpam-6587	254	3	two	two	NUM
ejpam-6587	254	4	methods	method	NOUN
ejpam-6587	254	5	,	,	PUNCT
ejpam-6587	254	6	namely	namely	ADV
ejpam-6587	254	7	the	the	DET
ejpam-6587	254	8	jef	jef	PROPN
ejpam-6587	254	9	-	-	PUNCT
ejpam-6587	254	10	method	method	NOUN
ejpam-6587	254	11	and	and	CCONJ
ejpam-6587	254	12	the	the	DET
ejpam-6587	254	13	grem	grem	NOUN
ejpam-6587	254	14	-	-	NOUN
ejpam-6587	254	15	method	method	NOUN
ejpam-6587	254	16	.	.	PUNCT
ejpam-6587	255	1	the	the	DET
ejpam-6587	255	2	jefmethod	jefmethod	NOUN
ejpam-6587	255	3	is	be	AUX
ejpam-6587	255	4	suggested	suggest	VERB
ejpam-6587	255	5	to	to	PART
ejpam-6587	255	6	create	create	VERB
ejpam-6587	255	7	the	the	DET
ejpam-6587	255	8	exact	exact	ADJ
ejpam-6587	255	9	periodic	periodic	ADJ
ejpam-6587	255	10	solutions	solution	NOUN
ejpam-6587	255	11	of	of	ADP
ejpam-6587	255	12	nonlinear	nonlinear	ADJ
ejpam-6587	255	13	wave	wave	NOUN
ejpam-6587	255	14	equations	equation	NOUN
ejpam-6587	255	15	.	.	PUNCT
ejpam-6587	256	1	moreover	moreover	ADV
ejpam-6587	256	2	,	,	PUNCT
ejpam-6587	256	3	the	the	DET
ejpam-6587	256	4	jef	jef	PROPN
ejpam-6587	256	5	-	-	PUNCT
ejpam-6587	256	6	method	method	NOUN
ejpam-6587	256	7	is	be	AUX
ejpam-6587	256	8	more	more	ADV
ejpam-6587	256	9	general	general	ADJ
ejpam-6587	256	10	than	than	ADP
ejpam-6587	256	11	the	the	DET
ejpam-6587	256	12	hyperbolic	hyperbolic	ADJ
ejpam-6587	256	13	tangent	tangent	NOUN
ejpam-6587	256	14	function	function	NOUN
ejpam-6587	256	15	expansion	expansion	NOUN
ejpam-6587	256	16	method	method	NOUN
ejpam-6587	256	17	.	.	PUNCT
ejpam-6587	257	1	while	while	SCONJ
ejpam-6587	257	2	the	the	DET
ejpam-6587	257	3	grem	grem	NOUN
ejpam-6587	257	4	-	-	NOUN
ejpam-6587	257	5	method	method	NOUN
ejpam-6587	257	6	is	be	AUX
ejpam-6587	257	7	a	a	DET
ejpam-6587	257	8	powerful	powerful	ADJ
ejpam-6587	257	9	and	and	CCONJ
ejpam-6587	257	10	effective	effective	ADJ
ejpam-6587	257	11	approach	approach	NOUN
ejpam-6587	257	12	that	that	PRON
ejpam-6587	257	13	provides	provide	VERB
ejpam-6587	257	14	solutions	solution	NOUN
ejpam-6587	257	15	in	in	ADP
ejpam-6587	257	16	several	several	ADJ
ejpam-6587	257	17	forms	form	NOUN
ejpam-6587	257	18	such	such	ADJ
ejpam-6587	257	19	as	as	ADP
ejpam-6587	257	20	the	the	DET
ejpam-6587	257	21	hyperbolic	hyperbolic	ADJ
ejpam-6587	257	22	function	function	NOUN
ejpam-6587	257	23	,	,	PUNCT
ejpam-6587	257	24	the	the	DET
ejpam-6587	257	25	trigonometric	trigonometric	ADJ
ejpam-6587	257	26	function	function	NOUN
ejpam-6587	257	27	,	,	PUNCT
ejpam-6587	257	28	and	and	CCONJ
ejpam-6587	257	29	the	the	DET
ejpam-6587	257	30	rational	rational	ADJ
ejpam-6587	257	31	functional	functional	ADJ
ejpam-6587	257	32	form	form	NOUN
ejpam-6587	257	33	.	.	PUNCT
ejpam-6587	258	1	by	by	ADP
ejpam-6587	258	2	using	use	VERB
ejpam-6587	258	3	these	these	DET
ejpam-6587	258	4	methods	method	NOUN
ejpam-6587	258	5	,	,	PUNCT
ejpam-6587	258	6	we	we	PRON
ejpam-6587	258	7	acquired	acquire	VERB
ejpam-6587	258	8	a	a	DET
ejpam-6587	258	9	variety	variety	NOUN
ejpam-6587	258	10	of	of	ADP
ejpam-6587	258	11	solutions	solution	NOUN
ejpam-6587	258	12	,	,	PUNCT
ejpam-6587	258	13	including	include	VERB
ejpam-6587	258	14	the	the	DET
ejpam-6587	258	15	elliptic	elliptic	ADJ
ejpam-6587	258	16	solutions	solution	NOUN
ejpam-6587	258	17	(	(	PUNCT
ejpam-6587	258	18	27)-(29	27)-(29	NOUN
ejpam-6587	258	19	)	)	PUNCT
ejpam-6587	258	20	,	,	PUNCT
ejpam-6587	258	21	kink	kink	NOUN
ejpam-6587	258	22	solution	solution	NOUN
ejpam-6587	258	23	(	(	PUNCT
ejpam-6587	258	24	38	38	NUM
ejpam-6587	258	25	)	)	PUNCT
ejpam-6587	258	26	,	,	PUNCT
ejpam-6587	258	27	singular	singular	ADJ
ejpam-6587	258	28	solution	solution	NOUN
ejpam-6587	258	29	(	(	PUNCT
ejpam-6587	258	30	39	39	NUM
ejpam-6587	258	31	)	)	PUNCT
ejpam-6587	258	32	,	,	PUNCT
ejpam-6587	258	33	singular	singular	PROPN
ejpam-6587	258	34	periodic	periodic	NOUN
ejpam-6587	258	35	(	(	PUNCT
ejpam-6587	258	36	33	33	NUM
ejpam-6587	258	37	)	)	PUNCT
ejpam-6587	258	38	and	and	CCONJ
ejpam-6587	258	39	(	(	PUNCT
ejpam-6587	258	40	34	34	NUM
ejpam-6587	258	41	)	)	PUNCT
ejpam-6587	258	42	and	and	CCONJ
ejpam-6587	258	43	etc	etc	X
ejpam-6587	258	44	.	.	X
ejpam-6587	258	45	one	one	NUM
ejpam-6587	258	46	of	of	ADP
ejpam-6587	258	47	the	the	DET
ejpam-6587	258	48	key	key	ADJ
ejpam-6587	258	49	aspects	aspect	NOUN
ejpam-6587	258	50	of	of	ADP
ejpam-6587	258	51	singular	singular	ADJ
ejpam-6587	258	52	solitons	soliton	NOUN
ejpam-6587	258	53	in	in	ADP
ejpam-6587	258	54	the	the	DET
ejpam-6587	258	55	kdv	kdv	NOUN
ejpam-6587	258	56	equation	equation	NOUN
ejpam-6587	258	57	is	be	AUX
ejpam-6587	258	58	their	their	PRON
ejpam-6587	258	59	stability	stability	NOUN
ejpam-6587	258	60	properties	property	NOUN
ejpam-6587	258	61	.	.	PUNCT
ejpam-6587	259	1	unlike	unlike	ADP
ejpam-6587	259	2	traditional	traditional	ADJ
ejpam-6587	259	3	wave	wave	NOUN
ejpam-6587	259	4	solutions	solution	NOUN
ejpam-6587	259	5	that	that	PRON
ejpam-6587	259	6	disperse	disperse	VERB
ejpam-6587	259	7	and	and	CCONJ
ejpam-6587	259	8	dissipate	dissipate	VERB
ejpam-6587	259	9	over	over	ADP
ejpam-6587	259	10	time	time	NOUN
ejpam-6587	259	11	,	,	PUNCT
ejpam-6587	259	12	singular	singular	ADJ
ejpam-6587	259	13	solitons	soliton	NOUN
ejpam-6587	259	14	have	have	VERB
ejpam-6587	259	15	the	the	DET
ejpam-6587	259	16	remarkable	remarkable	ADJ
ejpam-6587	259	17	feature	feature	NOUN
ejpam-6587	259	18	of	of	ADP
ejpam-6587	259	19	maintaining	maintain	VERB
ejpam-6587	259	20	their	their	PRON
ejpam-6587	259	21	form	form	NOUN
ejpam-6587	259	22	and	and	CCONJ
ejpam-6587	259	23	amplitude	amplitude	NOUN
ejpam-6587	259	24	as	as	SCONJ
ejpam-6587	259	25	they	they	PRON
ejpam-6587	259	26	propagate	propagate	VERB
ejpam-6587	259	27	through	through	ADP
ejpam-6587	259	28	a	a	DET
ejpam-6587	259	29	medium	medium	NOUN
ejpam-6587	259	30	.	.	PUNCT
ejpam-6587	260	1	this	this	DET
ejpam-6587	260	2	stability	stability	NOUN
ejpam-6587	260	3	allows	allow	VERB
ejpam-6587	260	4	solitons	soliton	NOUN
ejpam-6587	260	5	to	to	PART
ejpam-6587	260	6	travel	travel	VERB
ejpam-6587	260	7	long	long	ADJ
ejpam-6587	260	8	distances	distance	NOUN
ejpam-6587	260	9	without	without	ADP
ejpam-6587	260	10	distortion	distortion	NOUN
ejpam-6587	260	11	,	,	PUNCT
ejpam-6587	260	12	making	make	VERB
ejpam-6587	260	13	them	they	PRON
ejpam-6587	260	14	valuable	valuable	ADJ
ejpam-6587	260	15	in	in	ADP
ejpam-6587	260	16	modeling	model	VERB
ejpam-6587	260	17	the	the	DET
ejpam-6587	260	18	behavior	behavior	NOUN
ejpam-6587	260	19	of	of	ADP
ejpam-6587	260	20	waves	wave	NOUN
ejpam-6587	260	21	in	in	ADP
ejpam-6587	260	22	oceans	ocean	NOUN
ejpam-6587	260	23	,	,	PUNCT
ejpam-6587	260	24	rivers	river	NOUN
ejpam-6587	260	25	,	,	PUNCT
ejpam-6587	260	26	and	and	CCONJ
ejpam-6587	260	27	other	other	ADJ
ejpam-6587	260	28	fluid	fluid	ADJ
ejpam-6587	260	29	systems	system	NOUN
ejpam-6587	260	30	.	.	PUNCT
ejpam-6587	261	1	effect	effect	NOUN
ejpam-6587	261	2	of	of	ADP
ejpam-6587	261	3	noise	noise	NOUN
ejpam-6587	261	4	:	:	PUNCT
ejpam-6587	261	5	the	the	DET
ejpam-6587	261	6	impact	impact	NOUN
ejpam-6587	261	7	of	of	ADP
ejpam-6587	261	8	multiplicative	multiplicative	ADJ
ejpam-6587	261	9	noise	noise	NOUN
ejpam-6587	261	10	on	on	ADP
ejpam-6587	261	11	the	the	DET
ejpam-6587	261	12	exact	exact	ADJ
ejpam-6587	261	13	solutions	solution	NOUN
ejpam-6587	261	14	of	of	ADP
ejpam-6587	261	15	the	the	DET
ejpam-6587	261	16	skdv	skdv	NOUN
ejpam-6587	261	17	eq	eq	ADP
ejpam-6587	261	18	.	.	PUNCT
ejpam-6587	262	1	(	(	PUNCT
ejpam-6587	262	2	1	1	X
ejpam-6587	262	3	)	)	PUNCT
ejpam-6587	262	4	is	be	AUX
ejpam-6587	262	5	examined	examine	VERB
ejpam-6587	262	6	here	here	ADV
ejpam-6587	262	7	.	.	PUNCT
ejpam-6587	263	1	a	a	DET
ejpam-6587	263	2	number	number	NOUN
ejpam-6587	263	3	of	of	ADP
ejpam-6587	263	4	graphs	graph	NOUN
ejpam-6587	263	5	representing	represent	VERB
ejpam-6587	263	6	different	different	ADJ
ejpam-6587	263	7	solutions	solution	NOUN
ejpam-6587	263	8	with	with	ADP
ejpam-6587	263	9	distinct	distinct	ADJ
ejpam-6587	263	10	value	value	NOUN
ejpam-6587	263	11	of	of	ADP
ejpam-6587	263	12	noise	noise	NOUN
ejpam-6587	263	13	intensity	intensity	NOUN
ejpam-6587	263	14	are	be	AUX
ejpam-6587	263	15	shown	show	VERB
ejpam-6587	263	16	.	.	PUNCT
ejpam-6587	264	1	the	the	DET
ejpam-6587	264	2	main	main	ADJ
ejpam-6587	264	3	distinction	distinction	NOUN
ejpam-6587	264	4	between	between	ADP
ejpam-6587	264	5	the	the	DET
ejpam-6587	264	6	solutions	solution	NOUN
ejpam-6587	264	7	supplied	supply	VERB
ejpam-6587	264	8	here	here	ADV
ejpam-6587	264	9	and	and	CCONJ
ejpam-6587	264	10	those	those	PRON
ejpam-6587	264	11	obtained	obtain	VERB
ejpam-6587	264	12	in	in	ADP
ejpam-6587	264	13	[	[	X
ejpam-6587	264	14	11	11	NUM
ejpam-6587	264	15	]	]	PUNCT
ejpam-6587	264	16	is	be	AUX
ejpam-6587	264	17	the	the	DET
ejpam-6587	264	18	amplitude	amplitude	NOUN
ejpam-6587	264	19	functions	function	NOUN
ejpam-6587	264	20	v(x	v(x	PROPN
ejpam-6587	264	21	,	,	PUNCT
ejpam-6587	264	22	t	t	PROPN
ejpam-6587	264	23	)	)	PUNCT
ejpam-6587	264	24	.	.	PUNCT
ejpam-6587	265	1	here	here	ADV
ejpam-6587	265	2	v(x	v(x	PROPN
ejpam-6587	265	3	,	,	PUNCT
ejpam-6587	265	4	t	t	PROPN
ejpam-6587	265	5	)	)	PUNCT
ejpam-6587	265	6	is	be	AUX
ejpam-6587	265	7	a	a	DET
ejpam-6587	265	8	stochastic	stochastic	ADJ
ejpam-6587	265	9	functions	function	NOUN
ejpam-6587	265	10	,	,	PUNCT
ejpam-6587	265	11	while	while	SCONJ
ejpam-6587	265	12	v(x	v(x	PROPN
ejpam-6587	265	13	,	,	PUNCT
ejpam-6587	265	14	t	t	PROPN
ejpam-6587	265	15	)	)	PUNCT
ejpam-6587	265	16	is	be	AUX
ejpam-6587	265	17	supposed	suppose	VERB
ejpam-6587	265	18	deterministic	deterministic	ADJ
ejpam-6587	265	19	function	function	NOUN
ejpam-6587	265	20	in	in	ADP
ejpam-6587	265	21	[	[	X
ejpam-6587	265	22	11	11	NUM
ejpam-6587	265	23	]	]	PUNCT
ejpam-6587	265	24	.	.	PUNCT
ejpam-6587	266	1	figures	figure	NOUN
ejpam-6587	266	2	1	1	NUM
ejpam-6587	266	3	,	,	PUNCT
ejpam-6587	266	4	2	2	NUM
ejpam-6587	266	5	and	and	CCONJ
ejpam-6587	266	6	3	3	NUM
ejpam-6587	266	7	illustrate	illustrate	VERB
ejpam-6587	266	8	the	the	DET
ejpam-6587	266	9	solutions	solution	NOUN
ejpam-6587	266	10	p(x	p(x	PROPN
ejpam-6587	266	11	,	,	PUNCT
ejpam-6587	266	12	t	t	PROPN
ejpam-6587	266	13	)	)	PUNCT
ejpam-6587	266	14	given	give	VERB
ejpam-6587	266	15	in	in	ADP
ejpam-6587	266	16	eqs	eqs	X
ejpam-6587	266	17	(	(	PUNCT
ejpam-6587	266	18	28	28	NUM
ejpam-6587	266	19	)	)	PUNCT
ejpam-6587	266	20	,	,	PUNCT
ejpam-6587	266	21	(	(	PUNCT
ejpam-6587	266	22	31	31	NUM
ejpam-6587	266	23	)	)	PUNCT
ejpam-6587	266	24	and	and	CCONJ
ejpam-6587	266	25	(	(	PUNCT
ejpam-6587	266	26	38	38	NUM
ejpam-6587	266	27	)	)	PUNCT
ejpam-6587	266	28	for	for	ADP
ejpam-6587	266	29	distinct	distinct	ADJ
ejpam-6587	266	30	value	value	NOUN
ejpam-6587	266	31	of	of	ADP
ejpam-6587	266	32	the	the	DET
ejpam-6587	266	33	noise	noise	NOUN
ejpam-6587	266	34	strength	strength	NOUN
ejpam-6587	266	35	σ	σ	PROPN
ejpam-6587	266	36	as	as	SCONJ
ejpam-6587	266	37	follows	follow	VERB
ejpam-6587	266	38	:	:	PUNCT
ejpam-6587	266	39	(	(	PUNCT
ejpam-6587	266	40	i	i	NOUN
ejpam-6587	266	41	)	)	PUNCT
ejpam-6587	266	42	σ	σ	PROPN
ejpam-6587	267	1	=	=	SYM
ejpam-6587	267	2	0	0	NUM
ejpam-6587	267	3	(	(	PUNCT
ejpam-6587	267	4	ii	ii	NOUN
ejpam-6587	267	5	)	)	PUNCT
ejpam-6587	267	6	σ	σ	NOUN
ejpam-6587	267	7	=	=	SYM
ejpam-6587	267	8	0.1	0.1	NUM
ejpam-6587	267	9	a.	a.	NOUN
ejpam-6587	267	10	alshuhail	alshuhail	NOUN
ejpam-6587	267	11	et	et	PROPN
ejpam-6587	267	12	al	al	PROPN
ejpam-6587	267	13	.	.	PUNCT
ejpam-6587	267	14	/	/	SYM
ejpam-6587	267	15	eur	eur	PROPN
ejpam-6587	267	16	.	.	PUNCT
ejpam-6587	268	1	j.	j.	PROPN
ejpam-6587	268	2	pure	pure	PROPN
ejpam-6587	268	3	appl	appl	PROPN
ejpam-6587	268	4	.	.	PROPN
ejpam-6587	268	5	math	math	PROPN
ejpam-6587	268	6	,	,	PUNCT
ejpam-6587	268	7	18	18	NUM
ejpam-6587	268	8	(	(	PUNCT
ejpam-6587	268	9	4	4	NUM
ejpam-6587	268	10	)	)	PUNCT
ejpam-6587	268	11	(	(	PUNCT
ejpam-6587	268	12	2025	2025	NUM
ejpam-6587	268	13	)	)	PUNCT
ejpam-6587	268	14	,	,	PUNCT
ejpam-6587	268	15	6587	6587	NUM
ejpam-6587	268	16	12	12	NUM
ejpam-6587	268	17	of	of	ADP
ejpam-6587	268	18	16	16	NUM
ejpam-6587	268	19	(	(	PUNCT
ejpam-6587	268	20	iii	iii	NOUN
ejpam-6587	268	21	)	)	PUNCT
ejpam-6587	268	22	σ	σ	NOUN
ejpam-6587	268	23	=	=	SYM
ejpam-6587	268	24	0.3	0.3	NUM
ejpam-6587	268	25	(	(	PUNCT
ejpam-6587	268	26	iv	iv	X
ejpam-6587	268	27	)	)	PUNCT
ejpam-6587	268	28	σ	σ	NOUN
ejpam-6587	268	29	=	=	SYM
ejpam-6587	268	30	1	1	NUM
ejpam-6587	268	31	(	(	PUNCT
ejpam-6587	268	32	v	v	NOUN
ejpam-6587	268	33	)	)	PUNCT
ejpam-6587	268	34	σ	σ	NOUN
ejpam-6587	268	35	=	=	SYM
ejpam-6587	268	36	2	2	NUM
ejpam-6587	268	37	(	(	PUNCT
ejpam-6587	268	38	vi	vi	NOUN
ejpam-6587	268	39	)	)	PUNCT
ejpam-6587	268	40	σ	σ	NOUN
ejpam-6587	268	41	=	=	SYM
ejpam-6587	268	42	0	0	NUM
ejpam-6587	268	43	,	,	PUNCT
ejpam-6587	268	44	0.1	0.1	NUM
ejpam-6587	268	45	,	,	PUNCT
ejpam-6587	268	46	0.3	0.3	NUM
ejpam-6587	268	47	,	,	PUNCT
ejpam-6587	268	48	1	1	NUM
ejpam-6587	268	49	,	,	PUNCT
ejpam-6587	268	50	2	2	NUM
ejpam-6587	268	51	figure	figure	NOUN
ejpam-6587	268	52	1	1	NUM
ejpam-6587	268	53	.	.	PUNCT
ejpam-6587	269	1	(	(	PUNCT
ejpam-6587	269	2	i	i	NOUN
ejpam-6587	269	3	-	-	PUNCT
ejpam-6587	269	4	v	v	NOUN
ejpam-6587	269	5	)	)	PUNCT
ejpam-6587	269	6	depict	depict	NOUN
ejpam-6587	269	7	3d	3d	NUM
ejpam-6587	269	8	periodic	periodic	ADJ
ejpam-6587	269	9	solution	solution	NOUN
ejpam-6587	269	10	of	of	ADP
ejpam-6587	269	11	p(x	p(x	PROPN
ejpam-6587	269	12	,	,	PUNCT
ejpam-6587	269	13	t	t	PROPN
ejpam-6587	269	14	)	)	PUNCT
ejpam-6587	269	15	stated	state	VERB
ejpam-6587	269	16	in	in	ADP
ejpam-6587	269	17	eq	eq	PROPN
ejpam-6587	269	18	(	(	PUNCT
ejpam-6587	269	19	28	28	NUM
ejpam-6587	269	20	)	)	PUNCT
ejpam-6587	269	21	with	with	ADP
ejpam-6587	269	22	ϖ	ϖ	X
ejpam-6587	269	23	=	=	SYM
ejpam-6587	269	24	k	k	NOUN
ejpam-6587	269	25	=	=	PUNCT
ejpam-6587	269	26	ℓ0	ℓ0	NOUN
ejpam-6587	269	27	=	=	SYM
ejpam-6587	269	28	ℓ2	ℓ2	PROPN
ejpam-6587	269	29	=	=	PUNCT
ejpam-6587	269	30	a	a	PRON
ejpam-6587	269	31	=	=	SYM
ejpam-6587	269	32	1	1	NUM
ejpam-6587	269	33	,	,	PUNCT
ejpam-6587	269	34	t	t	PROPN
ejpam-6587	269	35	∈	∈	PROPN
ejpam-6587	270	1	[	[	X
ejpam-6587	270	2	0	0	NUM
ejpam-6587	270	3	,	,	PUNCT
ejpam-6587	270	4	4	4	NUM
ejpam-6587	270	5	]	]	PUNCT
ejpam-6587	270	6	and	and	CCONJ
ejpam-6587	270	7	x	x	PUNCT
ejpam-6587	270	8	∈	∈	PROPN
ejpam-6587	270	9	[	[	X
ejpam-6587	270	10	−4	−4	X
ejpam-6587	270	11	,	,	PUNCT
ejpam-6587	270	12	4	4	X
ejpam-6587	270	13	]	]	PUNCT
ejpam-6587	270	14	(	(	PUNCT
ejpam-6587	270	15	vi	vi	NOUN
ejpam-6587	270	16	)	)	PUNCT
ejpam-6587	270	17	shows	show	VERB
ejpam-6587	270	18	2d	2d	NOUN
ejpam-6587	270	19	-	-	PUNCT
ejpam-6587	270	20	shape	shape	NOUN
ejpam-6587	270	21	of	of	ADP
ejpam-6587	270	22	eq	eq	NOUN
ejpam-6587	270	23	.	.	PUNCT
ejpam-6587	271	1	(	(	PUNCT
ejpam-6587	271	2	28	28	NUM
ejpam-6587	271	3	)	)	PUNCT
ejpam-6587	271	4	with	with	ADP
ejpam-6587	271	5	distinct	distinct	ADJ
ejpam-6587	271	6	value	value	NOUN
ejpam-6587	271	7	of	of	ADP
ejpam-6587	271	8	σ	σ	PROPN
ejpam-6587	271	9	and	and	CCONJ
ejpam-6587	271	10	x	x	SYM
ejpam-6587	271	11	=	=	SYM
ejpam-6587	271	12	0.8	0.8	NUM
ejpam-6587	271	13	.	.	PUNCT
ejpam-6587	272	1	(	(	PUNCT
ejpam-6587	272	2	i	i	NOUN
ejpam-6587	272	3	)	)	PUNCT
ejpam-6587	272	4	σ	σ	PROPN
ejpam-6587	272	5	=	=	SYM
ejpam-6587	272	6	0	0	NUM
ejpam-6587	272	7	(	(	PUNCT
ejpam-6587	272	8	ii	ii	NOUN
ejpam-6587	272	9	)	)	PUNCT
ejpam-6587	272	10	σ	σ	NOUN
ejpam-6587	273	1	=	=	SYM
ejpam-6587	273	2	0.1	0.1	NUM
ejpam-6587	273	3	a.	a.	NOUN
ejpam-6587	273	4	alshuhail	alshuhail	NOUN
ejpam-6587	273	5	et	et	PROPN
ejpam-6587	273	6	al	al	PROPN
ejpam-6587	273	7	.	.	PUNCT
ejpam-6587	273	8	/	/	SYM
ejpam-6587	273	9	eur	eur	PROPN
ejpam-6587	273	10	.	.	PUNCT
ejpam-6587	274	1	j.	j.	PROPN
ejpam-6587	274	2	pure	pure	PROPN
ejpam-6587	274	3	appl	appl	PROPN
ejpam-6587	274	4	.	.	PROPN
ejpam-6587	274	5	math	math	PROPN
ejpam-6587	274	6	,	,	PUNCT
ejpam-6587	274	7	18	18	NUM
ejpam-6587	274	8	(	(	PUNCT
ejpam-6587	274	9	4	4	NUM
ejpam-6587	274	10	)	)	PUNCT
ejpam-6587	274	11	(	(	PUNCT
ejpam-6587	274	12	2025	2025	NUM
ejpam-6587	274	13	)	)	PUNCT
ejpam-6587	274	14	,	,	PUNCT
ejpam-6587	274	15	6587	6587	NUM
ejpam-6587	274	16	13	13	NUM
ejpam-6587	274	17	of	of	ADP
ejpam-6587	274	18	16	16	NUM
ejpam-6587	274	19	(	(	PUNCT
ejpam-6587	274	20	iii	iii	NOUN
ejpam-6587	274	21	)	)	PUNCT
ejpam-6587	274	22	σ	σ	NOUN
ejpam-6587	274	23	=	=	SYM
ejpam-6587	274	24	0.3	0.3	NUM
ejpam-6587	274	25	(	(	PUNCT
ejpam-6587	274	26	iv	iv	X
ejpam-6587	274	27	)	)	PUNCT
ejpam-6587	274	28	σ	σ	NOUN
ejpam-6587	274	29	=	=	SYM
ejpam-6587	274	30	1	1	NUM
ejpam-6587	274	31	(	(	PUNCT
ejpam-6587	274	32	v	v	NOUN
ejpam-6587	274	33	)	)	PUNCT
ejpam-6587	274	34	σ	σ	NOUN
ejpam-6587	274	35	=	=	SYM
ejpam-6587	274	36	2	2	NUM
ejpam-6587	274	37	(	(	PUNCT
ejpam-6587	274	38	vi	vi	NOUN
ejpam-6587	274	39	)	)	PUNCT
ejpam-6587	274	40	σ	σ	NOUN
ejpam-6587	274	41	=	=	SYM
ejpam-6587	274	42	0	0	NUM
ejpam-6587	274	43	,	,	PUNCT
ejpam-6587	274	44	0.1	0.1	NUM
ejpam-6587	274	45	,	,	PUNCT
ejpam-6587	274	46	0.3	0.3	NUM
ejpam-6587	274	47	,	,	PUNCT
ejpam-6587	274	48	1	1	NUM
ejpam-6587	274	49	,	,	PUNCT
ejpam-6587	274	50	2	2	NUM
ejpam-6587	274	51	figure	figure	NOUN
ejpam-6587	274	52	2	2	NUM
ejpam-6587	274	53	.	.	PUNCT
ejpam-6587	275	1	(	(	PUNCT
ejpam-6587	275	2	i	i	NOUN
ejpam-6587	275	3	-	-	PUNCT
ejpam-6587	275	4	v	v	NOUN
ejpam-6587	275	5	)	)	PUNCT
ejpam-6587	275	6	depict	depict	NOUN
ejpam-6587	275	7	bell	bell	NOUN
ejpam-6587	275	8	-	-	PUNCT
ejpam-6587	275	9	shape	shape	NOUN
ejpam-6587	275	10	bright	bright	ADJ
ejpam-6587	275	11	solution	solution	NOUN
ejpam-6587	275	12	of	of	ADP
ejpam-6587	275	13	p(x	p(x	PROPN
ejpam-6587	275	14	,	,	PUNCT
ejpam-6587	275	15	t	t	PROPN
ejpam-6587	275	16	)	)	PUNCT
ejpam-6587	275	17	stated	state	VERB
ejpam-6587	275	18	in	in	ADP
ejpam-6587	275	19	eq	eq	ADP
ejpam-6587	275	20	.	.	PUNCT
ejpam-6587	276	1	(	(	PUNCT
ejpam-6587	276	2	31	31	NUM
ejpam-6587	276	3	)	)	PUNCT
ejpam-6587	276	4	with	with	ADP
ejpam-6587	276	5	p	p	NOUN
ejpam-6587	276	6	=	=	PUNCT
ejpam-6587	276	7	ℓ0	ℓ0	ADV
ejpam-6587	276	8	=	=	PUNCT
ejpam-6587	276	9	a	a	DET
ejpam-6587	276	10	=	=	SYM
ejpam-6587	276	11	1	1	NUM
ejpam-6587	276	12	,	,	PUNCT
ejpam-6587	276	13	s	s	PART
ejpam-6587	276	14	=	=	NOUN
ejpam-6587	276	15	ℓ2	ℓ2	PROPN
ejpam-6587	276	16	=	=	SYM
ejpam-6587	276	17	−1	−1	NOUN
ejpam-6587	276	18	,	,	PUNCT
ejpam-6587	276	19	t	t	PROPN
ejpam-6587	276	20	∈	∈	PROPN
ejpam-6587	277	1	[	[	X
ejpam-6587	277	2	0	0	NUM
ejpam-6587	277	3	,	,	PUNCT
ejpam-6587	277	4	4	4	NUM
ejpam-6587	277	5	]	]	PUNCT
ejpam-6587	277	6	and	and	CCONJ
ejpam-6587	277	7	x	x	PUNCT
ejpam-6587	277	8	∈	∈	PROPN
ejpam-6587	277	9	[	[	X
ejpam-6587	277	10	−4	−4	X
ejpam-6587	277	11	,	,	PUNCT
ejpam-6587	277	12	4	4	X
ejpam-6587	277	13	]	]	PUNCT
ejpam-6587	277	14	(	(	PUNCT
ejpam-6587	277	15	vi	vi	NOUN
ejpam-6587	277	16	)	)	PUNCT
ejpam-6587	277	17	shows	show	VERB
ejpam-6587	277	18	2d	2d	NOUN
ejpam-6587	277	19	-	-	PUNCT
ejpam-6587	277	20	shape	shape	NOUN
ejpam-6587	277	21	of	of	ADP
ejpam-6587	277	22	eq	eq	NOUN
ejpam-6587	277	23	.	.	PUNCT
ejpam-6587	278	1	(	(	PUNCT
ejpam-6587	278	2	31	31	NUM
ejpam-6587	278	3	)	)	PUNCT
ejpam-6587	278	4	with	with	ADP
ejpam-6587	278	5	distinct	distinct	ADJ
ejpam-6587	278	6	value	value	NOUN
ejpam-6587	278	7	of	of	ADP
ejpam-6587	278	8	σ	σ	PROPN
ejpam-6587	278	9	and	and	CCONJ
ejpam-6587	278	10	x	x	SYM
ejpam-6587	278	11	=	=	SYM
ejpam-6587	278	12	1.2	1.2	NUM
ejpam-6587	278	13	.	.	PUNCT
ejpam-6587	279	1	(	(	PUNCT
ejpam-6587	279	2	i	i	NOUN
ejpam-6587	279	3	)	)	PUNCT
ejpam-6587	279	4	σ	σ	PROPN
ejpam-6587	279	5	=	=	SYM
ejpam-6587	279	6	0	0	NUM
ejpam-6587	279	7	(	(	PUNCT
ejpam-6587	279	8	ii	ii	NOUN
ejpam-6587	279	9	)	)	PUNCT
ejpam-6587	279	10	σ	σ	NOUN
ejpam-6587	279	11	=	=	SYM
ejpam-6587	279	12	1	1	NUM
ejpam-6587	279	13	a.	a.	NOUN
ejpam-6587	279	14	alshuhail	alshuhail	NOUN
ejpam-6587	279	15	et	et	PROPN
ejpam-6587	279	16	al	al	PROPN
ejpam-6587	279	17	.	.	PUNCT
ejpam-6587	279	18	/	/	SYM
ejpam-6587	279	19	eur	eur	PROPN
ejpam-6587	279	20	.	.	PUNCT
ejpam-6587	280	1	j.	j.	PROPN
ejpam-6587	280	2	pure	pure	PROPN
ejpam-6587	280	3	appl	appl	PROPN
ejpam-6587	280	4	.	.	PROPN
ejpam-6587	280	5	math	math	PROPN
ejpam-6587	280	6	,	,	PUNCT
ejpam-6587	280	7	18	18	NUM
ejpam-6587	280	8	(	(	PUNCT
ejpam-6587	280	9	4	4	NUM
ejpam-6587	280	10	)	)	PUNCT
ejpam-6587	280	11	(	(	PUNCT
ejpam-6587	280	12	2025	2025	NUM
ejpam-6587	280	13	)	)	PUNCT
ejpam-6587	280	14	,	,	PUNCT
ejpam-6587	280	15	6587	6587	NUM
ejpam-6587	280	16	14	14	NUM
ejpam-6587	280	17	of	of	ADP
ejpam-6587	280	18	16	16	NUM
ejpam-6587	280	19	(	(	PUNCT
ejpam-6587	280	20	iii	iii	NOUN
ejpam-6587	280	21	)	)	PUNCT
ejpam-6587	280	22	σ	σ	NOUN
ejpam-6587	280	23	=	=	SYM
ejpam-6587	280	24	0.3	0.3	NUM
ejpam-6587	280	25	(	(	PUNCT
ejpam-6587	280	26	iv	iv	X
ejpam-6587	280	27	)	)	PUNCT
ejpam-6587	280	28	σ	σ	NOUN
ejpam-6587	280	29	=	=	SYM
ejpam-6587	280	30	1	1	NUM
ejpam-6587	280	31	(	(	PUNCT
ejpam-6587	280	32	v	v	NOUN
ejpam-6587	280	33	)	)	PUNCT
ejpam-6587	280	34	σ	σ	NOUN
ejpam-6587	280	35	=	=	SYM
ejpam-6587	280	36	2	2	NUM
ejpam-6587	280	37	(	(	PUNCT
ejpam-6587	280	38	vi	vi	NOUN
ejpam-6587	280	39	)	)	PUNCT
ejpam-6587	280	40	σ	σ	NOUN
ejpam-6587	280	41	=	=	SYM
ejpam-6587	280	42	0	0	NUM
ejpam-6587	280	43	,	,	PUNCT
ejpam-6587	280	44	0.1	0.1	NUM
ejpam-6587	280	45	,	,	PUNCT
ejpam-6587	280	46	0.3	0.3	NUM
ejpam-6587	280	47	,	,	PUNCT
ejpam-6587	280	48	1	1	NUM
ejpam-6587	280	49	,	,	PUNCT
ejpam-6587	280	50	2	2	NUM
ejpam-6587	280	51	figure	figure	NOUN
ejpam-6587	280	52	3	3	NUM
ejpam-6587	280	53	.	.	PUNCT
ejpam-6587	281	1	(	(	PUNCT
ejpam-6587	281	2	i	i	NOUN
ejpam-6587	281	3	-	-	PUNCT
ejpam-6587	281	4	v	v	NOUN
ejpam-6587	281	5	)	)	PUNCT
ejpam-6587	281	6	depict	depict	NOUN
ejpam-6587	281	7	bell	bell	NOUN
ejpam-6587	281	8	-	-	PUNCT
ejpam-6587	281	9	shape	shape	NOUN
ejpam-6587	281	10	dark	dark	ADJ
ejpam-6587	281	11	solution	solution	NOUN
ejpam-6587	281	12	of	of	ADP
ejpam-6587	281	13	p(x	p(x	PROPN
ejpam-6587	281	14	,	,	PUNCT
ejpam-6587	281	15	t	t	PROPN
ejpam-6587	281	16	)	)	PUNCT
ejpam-6587	281	17	stated	state	VERB
ejpam-6587	281	18	in	in	ADP
ejpam-6587	281	19	eq	eq	PROPN
ejpam-6587	281	20	(	(	PUNCT
ejpam-6587	281	21	38	38	NUM
ejpam-6587	281	22	)	)	PUNCT
ejpam-6587	281	23	with	with	ADP
ejpam-6587	281	24	m	m	PROPN
ejpam-6587	281	25	=	=	SYM
ejpam-6587	281	26	0.5	0.5	NUM
ejpam-6587	281	27	,	,	PUNCT
ejpam-6587	281	28	ϖ	ϖ	X
ejpam-6587	281	29	=	=	SYM
ejpam-6587	281	30	k	k	NOUN
ejpam-6587	281	31	=	=	PUNCT
ejpam-6587	281	32	ℓ0	ℓ0	NOUN
ejpam-6587	281	33	=	=	SYM
ejpam-6587	281	34	ℓ2	ℓ2	PROPN
ejpam-6587	281	35	=	=	PUNCT
ejpam-6587	281	36	a	a	PRON
ejpam-6587	281	37	=	=	SYM
ejpam-6587	281	38	1	1	NUM
ejpam-6587	281	39	,	,	PUNCT
ejpam-6587	281	40	t	t	PROPN
ejpam-6587	281	41	∈	∈	PROPN
ejpam-6587	282	1	[	[	X
ejpam-6587	282	2	0	0	NUM
ejpam-6587	282	3	,	,	PUNCT
ejpam-6587	282	4	4	4	NUM
ejpam-6587	282	5	]	]	PUNCT
ejpam-6587	282	6	and	and	CCONJ
ejpam-6587	282	7	x	x	PUNCT
ejpam-6587	282	8	∈	∈	PROPN
ejpam-6587	282	9	[	[	X
ejpam-6587	282	10	−4	−4	X
ejpam-6587	282	11	,	,	PUNCT
ejpam-6587	282	12	4	4	X
ejpam-6587	282	13	]	]	PUNCT
ejpam-6587	282	14	(	(	PUNCT
ejpam-6587	282	15	vi	vi	NOUN
ejpam-6587	282	16	)	)	PUNCT
ejpam-6587	282	17	shows	show	VERB
ejpam-6587	282	18	2d	2d	NOUN
ejpam-6587	282	19	-	-	PUNCT
ejpam-6587	282	20	shape	shape	NOUN
ejpam-6587	282	21	of	of	ADP
ejpam-6587	282	22	eq	eq	NOUN
ejpam-6587	282	23	.	.	PUNCT
ejpam-6587	283	1	(	(	PUNCT
ejpam-6587	283	2	38	38	NUM
ejpam-6587	283	3	)	)	PUNCT
ejpam-6587	283	4	with	with	ADP
ejpam-6587	283	5	distinct	distinct	ADJ
ejpam-6587	283	6	value	value	NOUN
ejpam-6587	283	7	of	of	ADP
ejpam-6587	283	8	σ	σ	PROPN
ejpam-6587	283	9	and	and	CCONJ
ejpam-6587	283	10	x	x	SYM
ejpam-6587	283	11	=	=	NOUN
ejpam-6587	283	12	0.01	0.01	NUM
ejpam-6587	283	13	.	.	PUNCT
ejpam-6587	284	1	as	as	SCONJ
ejpam-6587	284	2	mentioned	mention	VERB
ejpam-6587	284	3	before	before	ADV
ejpam-6587	284	4	,	,	PUNCT
ejpam-6587	284	5	in	in	ADP
ejpam-6587	284	6	the	the	DET
ejpam-6587	284	7	absence	absence	NOUN
ejpam-6587	284	8	of	of	ADP
ejpam-6587	284	9	noise	noise	NOUN
ejpam-6587	284	10	(	(	PUNCT
ejpam-6587	284	11	i.e.	i.e.	X
ejpam-6587	284	12	,	,	PUNCT
ejpam-6587	284	13	σ	σ	PROPN
ejpam-6587	284	14	=	=	SYM
ejpam-6587	284	15	0	0	NUM
ejpam-6587	284	16	)	)	PUNCT
ejpam-6587	284	17	,	,	PUNCT
ejpam-6587	284	18	a	a	DET
ejpam-6587	284	19	variety	variety	NOUN
ejpam-6587	284	20	of	of	ADP
ejpam-6587	284	21	solutions	solution	NOUN
ejpam-6587	284	22	appear	appear	VERB
ejpam-6587	284	23	including	include	VERB
ejpam-6587	284	24	periodic	periodic	ADJ
ejpam-6587	284	25	solutions	solution	NOUN
ejpam-6587	284	26	,	,	PUNCT
ejpam-6587	284	27	bell	bell	NOUN
ejpam-6587	284	28	-	-	PUNCT
ejpam-6587	284	29	shape	shape	NOUN
ejpam-6587	284	30	bright	bright	ADJ
ejpam-6587	284	31	solutions	solution	NOUN
ejpam-6587	284	32	,	,	PUNCT
ejpam-6587	284	33	and	and	CCONJ
ejpam-6587	284	34	bell	bell	NOUN
ejpam-6587	284	35	-	-	PUNCT
ejpam-6587	284	36	shape	shape	NOUN
ejpam-6587	284	37	dark	dark	ADJ
ejpam-6587	284	38	solutions	solution	NOUN
ejpam-6587	284	39	,	,	PUNCT
ejpam-6587	284	40	as	as	SCONJ
ejpam-6587	284	41	illustrated	illustrate	VERB
ejpam-6587	284	42	in	in	ADP
ejpam-6587	284	43	figures	figure	NOUN
ejpam-6587	284	44	1(i)-3(i	1(i)-3(i	NUM
ejpam-6587	284	45	)	)	PUNCT
ejpam-6587	284	46	.	.	PUNCT
ejpam-6587	285	1	when	when	SCONJ
ejpam-6587	285	2	noise	noise	NOUN
ejpam-6587	285	3	is	be	AUX
ejpam-6587	285	4	introduced	introduce	VERB
ejpam-6587	285	5	as	as	SCONJ
ejpam-6587	285	6	illustrated	illustrate	VERB
ejpam-6587	285	7	in	in	ADP
ejpam-6587	285	8	figures	figure	NOUN
ejpam-6587	285	9	1(ii)1(v	1(ii)1(v	NUM
ejpam-6587	285	10	)	)	PUNCT
ejpam-6587	285	11	,	,	PUNCT
ejpam-6587	285	12	2(ii)-2(v	2(ii)-2(v	NUM
ejpam-6587	285	13	)	)	PUNCT
ejpam-6587	285	14	and	and	CCONJ
ejpam-6587	285	15	3(ii)-3(v	3(ii)-3(v	NUM
ejpam-6587	285	16	)	)	PUNCT
ejpam-6587	285	17	,	,	PUNCT
ejpam-6587	285	18	the	the	DET
ejpam-6587	285	19	surface	surface	NOUN
ejpam-6587	285	20	flattens	flatten	VERB
ejpam-6587	285	21	after	after	ADP
ejpam-6587	285	22	a	a	DET
ejpam-6587	285	23	few	few	ADJ
ejpam-6587	285	24	transit	transit	NOUN
ejpam-6587	285	25	patterns	pattern	NOUN
ejpam-6587	285	26	.	.	PUNCT
ejpam-6587	286	1	this	this	DET
ejpam-6587	286	2	work	work	NOUN
ejpam-6587	286	3	shows	show	VERB
ejpam-6587	286	4	that	that	SCONJ
ejpam-6587	286	5	the	the	DET
ejpam-6587	286	6	skdv	skdv	ADJ
ejpam-6587	286	7	solutions	solution	NOUN
ejpam-6587	286	8	of	of	ADP
ejpam-6587	286	9	eq	eq	PROPN
ejpam-6587	286	10	.	.	PUNCT
ejpam-6587	287	1	(	(	PUNCT
ejpam-6587	287	2	1	1	X
ejpam-6587	287	3	)	)	PUNCT
ejpam-6587	287	4	may	may	AUX
ejpam-6587	287	5	be	be	AUX
ejpam-6587	287	6	stabilized	stabilize	VERB
ejpam-6587	287	7	around	around	ADP
ejpam-6587	287	8	zero	zero	NUM
ejpam-6587	287	9	when	when	SCONJ
ejpam-6587	287	10	we	we	PRON
ejpam-6587	287	11	added	add	VERB
ejpam-6587	287	12	the	the	DET
ejpam-6587	287	13	multiplicative	multiplicative	ADJ
ejpam-6587	287	14	noise	noise	NOUN
ejpam-6587	287	15	term	term	NOUN
ejpam-6587	287	16	into	into	ADP
ejpam-6587	287	17	eq	eq	NOUN
ejpam-6587	287	18	.	.	PUNCT
ejpam-6587	288	1	(	(	PUNCT
ejpam-6587	288	2	1	1	NUM
ejpam-6587	288	3	)	)	PUNCT
ejpam-6587	288	4	.	.	PUNCT
ejpam-6587	289	1	5	5	X
ejpam-6587	289	2	.	.	X
ejpam-6587	289	3	conclusions	conclusion	NOUN
ejpam-6587	289	4	the	the	DET
ejpam-6587	289	5	stochastic	stochastic	ADJ
ejpam-6587	289	6	kdv	kdv	NOUN
ejpam-6587	289	7	eq	eq	ADJ
ejpam-6587	289	8	.	.	PUNCT
ejpam-6587	290	1	(	(	PUNCT
ejpam-6587	290	2	1	1	X
ejpam-6587	290	3	)	)	PUNCT
ejpam-6587	290	4	forced	force	VERB
ejpam-6587	290	5	by	by	ADP
ejpam-6587	290	6	multiplicative	multiplicative	ADJ
ejpam-6587	290	7	noise	noise	NOUN
ejpam-6587	290	8	in	in	ADP
ejpam-6587	290	9	the	the	DET
ejpam-6587	290	10	itô	itô	PROPN
ejpam-6587	290	11	sense	sense	NOUN
ejpam-6587	290	12	was	be	AUX
ejpam-6587	290	13	studied	study	VERB
ejpam-6587	290	14	in	in	ADP
ejpam-6587	290	15	this	this	DET
ejpam-6587	290	16	study	study	NOUN
ejpam-6587	290	17	.	.	PUNCT
ejpam-6587	291	1	we	we	PRON
ejpam-6587	291	2	converted	convert	VERB
ejpam-6587	291	3	the	the	DET
ejpam-6587	291	4	skdv	skdv	ADJ
ejpam-6587	291	5	equation	equation	NOUN
ejpam-6587	291	6	into	into	ADP
ejpam-6587	291	7	a	a	DET
ejpam-6587	291	8	kdv	kdv	NOUN
ejpam-6587	291	9	-	-	PUNCT
ejpam-6587	291	10	rvcs	rvcs	ADJ
ejpam-6587	291	11	(	(	PUNCT
ejpam-6587	291	12	5	5	NUM
ejpam-6587	291	13	)	)	PUNCT
ejpam-6587	291	14	by	by	ADP
ejpam-6587	291	15	using	use	VERB
ejpam-6587	291	16	a	a	DET
ejpam-6587	291	17	suitable	suitable	ADJ
ejpam-6587	291	18	transformation	transformation	NOUN
ejpam-6587	291	19	.	.	PUNCT
ejpam-6587	292	1	abundant	abundant	ADJ
ejpam-6587	292	2	exact	exact	ADJ
ejpam-6587	292	3	stochastic	stochastic	ADJ
ejpam-6587	292	4	solutions	solution	NOUN
ejpam-6587	292	5	for	for	ADP
ejpam-6587	292	6	kdv	kdv	NOUN
ejpam-6587	292	7	-	-	PUNCT
ejpam-6587	292	8	rvcs	rvcs	NOUN
ejpam-6587	292	9	in	in	ADP
ejpam-6587	292	10	the	the	DET
ejpam-6587	292	11	type	type	NOUN
ejpam-6587	292	12	of	of	ADP
ejpam-6587	292	13	elliptic	elliptic	ADJ
ejpam-6587	292	14	,	,	PUNCT
ejpam-6587	292	15	rational	rational	ADJ
ejpam-6587	292	16	,	,	PUNCT
ejpam-6587	292	17	trigonometric	trigonometric	ADJ
ejpam-6587	292	18	,	,	PUNCT
ejpam-6587	292	19	and	and	CCONJ
ejpam-6587	292	20	hyperbolic	hyperbolic	ADJ
ejpam-6587	292	21	functions	function	NOUN
ejpam-6587	292	22	was	be	AUX
ejpam-6587	292	23	discovered	discover	VERB
ejpam-6587	292	24	by	by	ADP
ejpam-6587	292	25	employing	employ	VERB
ejpam-6587	292	26	a.	a.	NOUN
ejpam-6587	292	27	alshuhail	alshuhail	PROPN
ejpam-6587	292	28	et	et	PROPN
ejpam-6587	292	29	al	al	PROPN
ejpam-6587	292	30	.	.	PUNCT
ejpam-6587	292	31	/	/	SYM
ejpam-6587	292	32	eur	eur	PROPN
ejpam-6587	292	33	.	.	PUNCT
ejpam-6587	293	1	j.	j.	PROPN
ejpam-6587	293	2	pure	pure	PROPN
ejpam-6587	293	3	appl	appl	PROPN
ejpam-6587	293	4	.	.	PROPN
ejpam-6587	293	5	math	math	PROPN
ejpam-6587	293	6	,	,	PUNCT
ejpam-6587	293	7	18	18	NUM
ejpam-6587	293	8	(	(	PUNCT
ejpam-6587	293	9	4	4	NUM
ejpam-6587	293	10	)	)	PUNCT
ejpam-6587	293	11	(	(	PUNCT
ejpam-6587	293	12	2025	2025	NUM
ejpam-6587	293	13	)	)	PUNCT
ejpam-6587	293	14	,	,	PUNCT
ejpam-6587	293	15	6587	6587	NUM
ejpam-6587	293	16	15	15	NUM
ejpam-6587	293	17	of	of	ADP
ejpam-6587	293	18	16	16	NUM
ejpam-6587	293	19	the	the	DET
ejpam-6587	293	20	jef	jef	PROPN
ejpam-6587	293	21	-	-	PUNCT
ejpam-6587	293	22	method	method	NOUN
ejpam-6587	293	23	and	and	CCONJ
ejpam-6587	293	24	grem	grem	NOUN
ejpam-6587	293	25	-	-	NOUN
ejpam-6587	293	26	method	method	NOUN
ejpam-6587	293	27	.	.	PUNCT
ejpam-6587	294	1	next	next	ADV
ejpam-6587	294	2	,	,	PUNCT
ejpam-6587	294	3	we	we	PRON
ejpam-6587	294	4	obtained	obtain	VERB
ejpam-6587	294	5	the	the	DET
ejpam-6587	294	6	solutions	solution	NOUN
ejpam-6587	294	7	of	of	ADP
ejpam-6587	294	8	skdv	skdv	NOUN
ejpam-6587	294	9	eq	eq	ADP
ejpam-6587	294	10	.	.	PUNCT
ejpam-6587	295	1	(	(	PUNCT
ejpam-6587	295	2	1	1	NUM
ejpam-6587	295	3	)	)	PUNCT
ejpam-6587	295	4	.	.	PUNCT
ejpam-6587	296	1	additionally	additionally	ADV
ejpam-6587	296	2	,	,	PUNCT
ejpam-6587	296	3	we	we	PRON
ejpam-6587	296	4	expanded	expand	VERB
ejpam-6587	296	5	on	on	ADP
ejpam-6587	296	6	a	a	DET
ejpam-6587	296	7	few	few	ADJ
ejpam-6587	296	8	earlier	early	ADJ
ejpam-6587	296	9	solutions	solution	NOUN
ejpam-6587	296	10	,	,	PUNCT
ejpam-6587	296	11	such	such	DET
ejpam-6587	296	12	the	the	DET
ejpam-6587	296	13	solutions	solution	NOUN
ejpam-6587	296	14	stated	state	VERB
ejpam-6587	296	15	in	in	ADP
ejpam-6587	296	16	[	[	X
ejpam-6587	296	17	13	13	NUM
ejpam-6587	296	18	]	]	PUNCT
ejpam-6587	296	19	.	.	PUNCT
ejpam-6587	297	1	due	due	ADP
ejpam-6587	297	2	to	to	ADP
ejpam-6587	297	3	the	the	DET
ejpam-6587	297	4	relevance	relevance	NOUN
ejpam-6587	297	5	of	of	ADP
ejpam-6587	297	6	the	the	DET
ejpam-6587	297	7	kdv	kdv	NOUN
ejpam-6587	297	8	equation	equation	NOUN
ejpam-6587	297	9	in	in	ADP
ejpam-6587	297	10	nonlinear	nonlinear	ADJ
ejpam-6587	297	11	optics	optic	NOUN
ejpam-6587	297	12	,	,	PUNCT
ejpam-6587	297	13	plasma	plasma	NOUN
ejpam-6587	297	14	physics	physics	NOUN
ejpam-6587	297	15	,	,	PUNCT
ejpam-6587	297	16	and	and	CCONJ
ejpam-6587	297	17	fluid	fluid	ADJ
ejpam-6587	297	18	dynamics	dynamic	NOUN
ejpam-6587	297	19	,	,	PUNCT
ejpam-6587	297	20	the	the	DET
ejpam-6587	297	21	obtained	obtain	VERB
ejpam-6587	297	22	solutions	solution	NOUN
ejpam-6587	297	23	are	be	AUX
ejpam-6587	297	24	essential	essential	ADJ
ejpam-6587	297	25	in	in	ADP
ejpam-6587	297	26	comprehending	comprehend	VERB
ejpam-6587	297	27	various	various	ADJ
ejpam-6587	297	28	complex	complex	ADJ
ejpam-6587	297	29	physical	physical	ADJ
ejpam-6587	297	30	phenomena	phenomenon	NOUN
ejpam-6587	297	31	.	.	PUNCT
ejpam-6587	298	1	finally	finally	ADV
ejpam-6587	298	2	,	,	PUNCT
ejpam-6587	298	3	several	several	ADJ
ejpam-6587	298	4	illustrations	illustration	NOUN
ejpam-6587	298	5	were	be	AUX
ejpam-6587	298	6	provided	provide	VERB
ejpam-6587	298	7	to	to	PART
ejpam-6587	298	8	show	show	VERB
ejpam-6587	298	9	how	how	SCONJ
ejpam-6587	298	10	the	the	DET
ejpam-6587	298	11	multiplicative	multiplicative	ADJ
ejpam-6587	298	12	noise	noise	NOUN
ejpam-6587	298	13	term	term	NOUN
ejpam-6587	298	14	affected	affect	VERB
ejpam-6587	298	15	the	the	DET
ejpam-6587	298	16	exact	exact	ADJ
ejpam-6587	298	17	stochastic	stochastic	ADJ
ejpam-6587	298	18	solutions	solution	NOUN
ejpam-6587	298	19	of	of	ADP
ejpam-6587	298	20	the	the	DET
ejpam-6587	298	21	skdv	skdv	NOUN
ejpam-6587	298	22	equation	equation	NOUN
ejpam-6587	298	23	.	.	PUNCT
ejpam-6587	299	1	acknowledgements	acknowledgement	NOUN
ejpam-6587	299	2	this	this	DET
ejpam-6587	299	3	research	research	NOUN
ejpam-6587	299	4	has	have	AUX
ejpam-6587	299	5	been	be	AUX
ejpam-6587	299	6	funded	fund	VERB
ejpam-6587	299	7	by	by	ADP
ejpam-6587	299	8	scientific	scientific	ADJ
ejpam-6587	299	9	research	research	NOUN
ejpam-6587	299	10	deanship	deanship	NOUN
ejpam-6587	299	11	at	at	ADP
ejpam-6587	299	12	the	the	DET
ejpam-6587	299	13	university	university	NOUN
ejpam-6587	299	14	of	of	ADP
ejpam-6587	299	15	ha’il	ha’il	PROPN
ejpam-6587	299	16	-	-	PUNCT
ejpam-6587	299	17	saudi	saudi	PROPN
ejpam-6587	299	18	arabia	arabia	PROPN
ejpam-6587	299	19	through	through	ADP
ejpam-6587	299	20	project	project	NOUN
ejpam-6587	299	21	number	number	NOUN
ejpam-6587	299	22	rg-25005	rg-25005	NOUN
ejpam-6587	299	23	.	.	PUNCT
ejpam-6587	300	1	references	reference	NOUN
ejpam-6587	300	2	[	[	X
ejpam-6587	300	3	1	1	NUM
ejpam-6587	300	4	]	]	X
ejpam-6587	300	5	d.j	d.j	PROPN
ejpam-6587	300	6	.	.	PROPN
ejpam-6587	300	7	korteweg	korteweg	PROPN
ejpam-6587	300	8	and	and	CCONJ
ejpam-6587	300	9	g.	g.	PROPN
ejpam-6587	300	10	de	de	PROPN
ejpam-6587	300	11	vries	vries	PROPN
ejpam-6587	300	12	.	.	PUNCT
ejpam-6587	301	1	on	on	ADP
ejpam-6587	301	2	the	the	DET
ejpam-6587	301	3	change	change	NOUN
ejpam-6587	301	4	of	of	ADP
ejpam-6587	301	5	form	form	NOUN
ejpam-6587	301	6	of	of	ADP
ejpam-6587	301	7	long	long	ADJ
ejpam-6587	301	8	waves	wave	NOUN
ejpam-6587	301	9	advancing	advance	VERB
ejpam-6587	301	10	in	in	ADP
ejpam-6587	301	11	a	a	DET
ejpam-6587	301	12	rectangular	rectangular	ADJ
ejpam-6587	301	13	canal	canal	NOUN
ejpam-6587	301	14	,	,	PUNCT
ejpam-6587	301	15	and	and	CCONJ
ejpam-6587	301	16	on	on	ADP
ejpam-6587	301	17	a	a	DET
ejpam-6587	301	18	new	new	ADJ
ejpam-6587	301	19	type	type	NOUN
ejpam-6587	301	20	of	of	ADP
ejpam-6587	301	21	long	long	ADJ
ejpam-6587	301	22	stationary	stationary	ADJ
ejpam-6587	301	23	waves	wave	NOUN
ejpam-6587	301	24	.	.	PUNCT
ejpam-6587	302	1	the	the	DET
ejpam-6587	302	2	london	london	PROPN
ejpam-6587	302	3	,	,	PUNCT
ejpam-6587	302	4	edinburgh	edinburgh	PROPN
ejpam-6587	302	5	,	,	PUNCT
ejpam-6587	302	6	and	and	CCONJ
ejpam-6587	302	7	dublin	dublin	PROPN
ejpam-6587	302	8	philosophical	philosophical	PROPN
ejpam-6587	302	9	magazine	magazine	NOUN
ejpam-6587	302	10	and	and	CCONJ
ejpam-6587	302	11	journal	journal	NOUN
ejpam-6587	302	12	of	of	ADP
ejpam-6587	302	13	science	science	NOUN
ejpam-6587	302	14	,	,	PUNCT
ejpam-6587	302	15	39:422–443	39:422–443	NUM
ejpam-6587	302	16	,	,	PUNCT
ejpam-6587	302	17	1895	1895	NUM
ejpam-6587	302	18	.	.	PUNCT
ejpam-6587	303	1	[	[	X
ejpam-6587	303	2	2	2	NUM
ejpam-6587	303	3	]	]	PUNCT
ejpam-6587	303	4	a.	a.	NOUN
ejpam-6587	303	5	saha	saha	PROPN
ejpam-6587	303	6	u.	u.	PROPN
ejpam-6587	303	7	k.	k.	PROPN
ejpam-6587	303	8	samanta	samanta	PROPN
ejpam-6587	303	9	and	and	CCONJ
ejpam-6587	303	10	p.	p.	PROPN
ejpam-6587	303	11	chatterjee	chatterjee	PROPN
ejpam-6587	303	12	.	.	PUNCT
ejpam-6587	304	1	ifurcations	ifurcation	NOUN
ejpam-6587	304	2	of	of	ADP
ejpam-6587	304	3	dust	dust	NOUN
ejpam-6587	304	4	ion	ion	NOUN
ejpam-6587	304	5	acoustic	acoustic	ADJ
ejpam-6587	304	6	travelling	travel	VERB
ejpam-6587	304	7	waves	wave	NOUN
ejpam-6587	304	8	in	in	ADP
ejpam-6587	304	9	a	a	DET
ejpam-6587	304	10	magnetized	magnetized	ADJ
ejpam-6587	304	11	dusty	dusty	ADJ
ejpam-6587	304	12	plasma	plasma	NOUN
ejpam-6587	304	13	with	with	ADP
ejpam-6587	304	14	a	a	DET
ejpam-6587	304	15	q	q	ADJ
ejpam-6587	304	16	-	-	PUNCT
ejpam-6587	304	17	nonextensive	nonextensive	ADJ
ejpam-6587	304	18	electron	electron	NOUN
ejpam-6587	304	19	velocity	velocity	NOUN
ejpam-6587	304	20	distribution	distribution	NOUN
ejpam-6587	304	21	.	.	PUNCT
ejpam-6587	305	1	physics	physics	NOUN
ejpam-6587	305	2	of	of	ADP
ejpam-6587	305	3	plasmas	plasma	NOUN
ejpam-6587	305	4	,	,	PUNCT
ejpam-6587	305	5	20:022111	20:022111	NUM
ejpam-6587	305	6	,	,	PUNCT
ejpam-6587	305	7	2013	2013	NUM
ejpam-6587	305	8	.	.	PUNCT
ejpam-6587	306	1	[	[	X
ejpam-6587	306	2	3	3	X
ejpam-6587	306	3	]	]	PUNCT
ejpam-6587	306	4	m.	m.	NOUN
ejpam-6587	306	5	j.	j.	PROPN
ejpam-6587	306	6	ablowitz	ablowitz	PROPN
ejpam-6587	306	7	and	and	CCONJ
ejpam-6587	306	8	h.	h.	PROPN
ejpam-6587	306	9	segur	segur	PROPN
ejpam-6587	306	10	.	.	PUNCT
ejpam-6587	307	1	ifurcations	ifurcation	NOUN
ejpam-6587	307	2	of	of	ADP
ejpam-6587	307	3	dust	dust	NOUN
ejpam-6587	307	4	ion	ion	NOUN
ejpam-6587	307	5	acoustic	acoustic	ADJ
ejpam-6587	307	6	travelling	travel	VERB
ejpam-6587	307	7	waves	wave	NOUN
ejpam-6587	307	8	in	in	ADP
ejpam-6587	307	9	a	a	DET
ejpam-6587	307	10	magnetized	magnetized	ADJ
ejpam-6587	307	11	dusty	dusty	ADJ
ejpam-6587	307	12	plasma	plasma	NOUN
ejpam-6587	307	13	with	with	ADP
ejpam-6587	307	14	a	a	DET
ejpam-6587	307	15	q	q	ADJ
ejpam-6587	307	16	-	-	PUNCT
ejpam-6587	307	17	nonextensive	nonextensive	ADJ
ejpam-6587	307	18	electron	electron	NOUN
ejpam-6587	307	19	velocity	velocity	NOUN
ejpam-6587	307	20	distribution	distribution	NOUN
ejpam-6587	307	21	.	.	PUNCT
ejpam-6587	308	1	physics	physics	NOUN
ejpam-6587	308	2	of	of	ADP
ejpam-6587	308	3	plasmas	plasma	NOUN
ejpam-6587	308	4	,	,	PUNCT
ejpam-6587	308	5	20:022111	20:022111	NUM
ejpam-6587	308	6	,	,	PUNCT
ejpam-6587	308	7	2013	2013	NUM
ejpam-6587	308	8	.	.	PUNCT
ejpam-6587	309	1	[	[	X
ejpam-6587	309	2	4	4	NUM
ejpam-6587	309	3	]	]	X
ejpam-6587	309	4	r.	r.	PROPN
ejpam-6587	309	5	hirota	hirota	PROPN
ejpam-6587	309	6	.	.	PUNCT
ejpam-6587	310	1	the	the	DET
ejpam-6587	310	2	direct	direct	ADJ
ejpam-6587	310	3	method	method	NOUN
ejpam-6587	310	4	in	in	ADP
ejpam-6587	310	5	soliton	soliton	NOUN
ejpam-6587	310	6	theory	theory	NOUN
ejpam-6587	310	7	.	.	PUNCT
ejpam-6587	311	1	cambridge	cambridge	PROPN
ejpam-6587	311	2	university	university	PROPN
ejpam-6587	311	3	press	press	PROPN
ejpam-6587	311	4	,	,	PUNCT
ejpam-6587	311	5	japan	japan	PROPN
ejpam-6587	311	6	,	,	PUNCT
ejpam-6587	311	7	osaka	osaka	PROPN
ejpam-6587	311	8	city	city	PROPN
ejpam-6587	311	9	university	university	PROPN
ejpam-6587	311	10	,	,	PUNCT
ejpam-6587	311	11	2004	2004	NUM
ejpam-6587	311	12	.	.	PUNCT
ejpam-6587	312	1	[	[	X
ejpam-6587	312	2	5	5	X
ejpam-6587	312	3	]	]	PUNCT
ejpam-6587	312	4	p.	p.	NOUN
ejpam-6587	312	5	j.	j.	PROPN
ejpam-6587	312	6	olver	olver	PROPN
ejpam-6587	312	7	.	.	PUNCT
ejpam-6587	313	1	application	application	NOUN
ejpam-6587	313	2	of	of	ADP
ejpam-6587	313	3	lie	lie	NOUN
ejpam-6587	313	4	group	group	NOUN
ejpam-6587	313	5	to	to	PART
ejpam-6587	313	6	differential	differential	VERB
ejpam-6587	313	7	equation	equation	NOUN
ejpam-6587	313	8	.	.	PUNCT
ejpam-6587	314	1	springer	springer	PROPN
ejpam-6587	314	2	new	new	PROPN
ejpam-6587	314	3	york	york	PROPN
ejpam-6587	314	4	,	,	PUNCT
ejpam-6587	314	5	ny	ny	PROPN
ejpam-6587	314	6	,	,	PUNCT
ejpam-6587	314	7	usa	usa	PROPN
ejpam-6587	314	8	,	,	PUNCT
ejpam-6587	314	9	1986	1986	NUM
ejpam-6587	314	10	.	.	PUNCT
ejpam-6587	315	1	[	[	X
ejpam-6587	315	2	6	6	NUM
ejpam-6587	315	3	]	]	PUNCT
ejpam-6587	315	4	a.	a.	NOUN
ejpam-6587	315	5	m.	m.	NOUN
ejpam-6587	315	6	wazwaz	wazwaz	PROPN
ejpam-6587	315	7	.	.	PUNCT
ejpam-6587	316	1	a	a	DET
ejpam-6587	316	2	kdv6	kdv6	PROPN
ejpam-6587	316	3	hierarchy	hierarchy	NOUN
ejpam-6587	316	4	:	:	PUNCT
ejpam-6587	316	5	integrable	integrable	ADJ
ejpam-6587	316	6	members	member	NOUN
ejpam-6587	316	7	with	with	ADP
ejpam-6587	316	8	distinct	distinct	ADJ
ejpam-6587	316	9	dispersion	dispersion	NOUN
ejpam-6587	316	10	relations	relation	NOUN
ejpam-6587	316	11	.	.	PUNCT
ejpam-6587	317	1	applied	apply	VERB
ejpam-6587	317	2	mathematics	mathematic	NOUN
ejpam-6587	317	3	and	and	CCONJ
ejpam-6587	317	4	computation	computation	NOUN
ejpam-6587	317	5	,	,	PUNCT
ejpam-6587	317	6	45:86–92	45:86–92	NUM
ejpam-6587	317	7	,	,	PUNCT
ejpam-6587	317	8	2015	2015	NUM
ejpam-6587	317	9	.	.	PUNCT
ejpam-6587	318	1	[	[	X
ejpam-6587	318	2	7	7	X
ejpam-6587	318	3	]	]	PUNCT
ejpam-6587	318	4	x.	x.	NOUN
ejpam-6587	318	5	geng	geng	PROPN
ejpam-6587	318	6	and	and	CCONJ
ejpam-6587	318	7	b.	b.	PROPN
ejpam-6587	318	8	xue	xue	PROPN
ejpam-6587	318	9	.	.	PUNCT
ejpam-6587	319	1	n	n	CCONJ
ejpam-6587	319	2	-	-	PUNCT
ejpam-6587	319	3	soliton	soliton	NOUN
ejpam-6587	319	4	and	and	CCONJ
ejpam-6587	319	5	quasi	quasi	ADJ
ejpam-6587	319	6	-	-	ADJ
ejpam-6587	319	7	periodic	periodic	ADJ
ejpam-6587	319	8	solutions	solution	NOUN
ejpam-6587	319	9	of	of	ADP
ejpam-6587	319	10	the	the	DET
ejpam-6587	319	11	kdv6	kdv6	PROPN
ejpam-6587	319	12	equations	equation	NOUN
ejpam-6587	319	13	.	.	PUNCT
ejpam-6587	320	1	applied	apply	VERB
ejpam-6587	320	2	mathematics	mathematic	NOUN
ejpam-6587	320	3	and	and	CCONJ
ejpam-6587	320	4	computation	computation	NOUN
ejpam-6587	320	5	,	,	PUNCT
ejpam-6587	320	6	219:3504–3510	219:3504–3510	NUM
ejpam-6587	320	7	,	,	PUNCT
ejpam-6587	320	8	2012	2012	NUM
ejpam-6587	320	9	.	.	PUNCT
ejpam-6587	321	1	[	[	X
ejpam-6587	321	2	8	8	NUM
ejpam-6587	321	3	]	]	PUNCT
ejpam-6587	321	4	a.	a.	NOUN
ejpam-6587	321	5	m.wazwaz	m.wazwaz	NOUN
ejpam-6587	321	6	and	and	CCONJ
ejpam-6587	321	7	g.q	g.q	PROPN
ejpam-6587	321	8	.	.	PROPN
ejpam-6587	321	9	xu	xu	PROPN
ejpam-6587	321	10	.	.	PUNCT
ejpam-6587	322	1	an	an	DET
ejpam-6587	322	2	extended	extend	VERB
ejpam-6587	322	3	modified	modify	VERB
ejpam-6587	322	4	kdv	kdv	NOUN
ejpam-6587	322	5	equation	equation	NOUN
ejpam-6587	322	6	and	and	CCONJ
ejpam-6587	322	7	its	its	PRON
ejpam-6587	322	8	painlevé	painlevé	NOUN
ejpam-6587	322	9	integrability	integrability	NOUN
ejpam-6587	322	10	.	.	PUNCT
ejpam-6587	323	1	nonlinear	nonlinear	ADJ
ejpam-6587	323	2	dynamics	dynamic	NOUN
ejpam-6587	323	3	,	,	PUNCT
ejpam-6587	323	4	86:1455–1460	86:1455–1460	NUM
ejpam-6587	323	5	,	,	PUNCT
ejpam-6587	323	6	2016	2016	NUM
ejpam-6587	323	7	.	.	PUNCT
ejpam-6587	324	1	[	[	X
ejpam-6587	324	2	9	9	NUM
ejpam-6587	324	3	]	]	X
ejpam-6587	324	4	x.l	x.l	PROPN
ejpam-6587	324	5	.	.	PROPN
ejpam-6587	324	6	dang	dang	PROPN
ejpam-6587	324	7	y.	y.	PROPN
ejpam-6587	324	8	zhang	zhang	PROPN
ejpam-6587	324	9	and	and	CCONJ
ejpam-6587	324	10	h.	h.	PROPN
ejpam-6587	324	11	x.	x.	PROPN
ejpam-6587	324	12	xu	xu	PROPN
ejpam-6587	324	13	.	.	PUNCT
ejpam-6587	325	1	backlund	backlund	NOUN
ejpam-6587	325	2	transformations	transformation	NOUN
ejpam-6587	325	3	and	and	CCONJ
ejpam-6587	325	4	soliton	soliton	NOUN
ejpam-6587	325	5	solutions	solution	NOUN
ejpam-6587	325	6	for	for	ADP
ejpam-6587	325	7	the	the	DET
ejpam-6587	325	8	kdv6	kdv6	PROPN
ejpam-6587	325	9	equation	equation	NOUN
ejpam-6587	325	10	.	.	PUNCT
ejpam-6587	326	1	applied	apply	VERB
ejpam-6587	326	2	mathematics	mathematic	NOUN
ejpam-6587	326	3	and	and	CCONJ
ejpam-6587	326	4	computation	computation	NOUN
ejpam-6587	326	5	,	,	PUNCT
ejpam-6587	326	6	217:6230–6236	217:6230–6236	NUM
ejpam-6587	326	7	,	,	PUNCT
ejpam-6587	326	8	2011	2011	NUM
ejpam-6587	326	9	.	.	PUNCT
ejpam-6587	327	1	[	[	X
ejpam-6587	327	2	10	10	NUM
ejpam-6587	327	3	]	]	X
ejpam-6587	327	4	y.t	y.t	PROPN
ejpam-6587	327	5	.	.	PUNCT
ejpam-6587	328	1	gao	gao	PROPN
ejpam-6587	328	2	x.y	x.y	PROPN
ejpam-6587	328	3	.	.	PROPN
ejpam-6587	328	4	wen	wen	PROPN
ejpam-6587	328	5	and	and	CCONJ
ejpam-6587	328	6	l.	l.	PROPN
ejpam-6587	328	7	wang	wang	PROPN
ejpam-6587	328	8	.	.	PUNCT
ejpam-6587	329	1	darboux	darboux	VERB
ejpam-6587	329	2	transformation	transformation	NOUN
ejpam-6587	329	3	and	and	CCONJ
ejpam-6587	329	4	explicit	explicit	ADJ
ejpam-6587	329	5	solutions	solution	NOUN
ejpam-6587	329	6	for	for	ADP
ejpam-6587	329	7	the	the	DET
ejpam-6587	329	8	integrable	integrable	ADJ
ejpam-6587	329	9	sixth	sixth	ADJ
ejpam-6587	329	10	-	-	PUNCT
ejpam-6587	329	11	order	order	NOUN
ejpam-6587	329	12	kdv	kdv	NOUN
ejpam-6587	329	13	equation	equation	NOUN
ejpam-6587	329	14	for	for	ADP
ejpam-6587	329	15	nonlinear	nonlinear	ADJ
ejpam-6587	329	16	waves	wave	NOUN
ejpam-6587	329	17	.	.	PUNCT
ejpam-6587	330	1	applied	apply	VERB
ejpam-6587	330	2	mathematics	mathematic	NOUN
ejpam-6587	330	3	and	and	CCONJ
ejpam-6587	330	4	computation	computation	NOUN
ejpam-6587	330	5	,	,	PUNCT
ejpam-6587	330	6	218:55–60	218:55–60	NUM
ejpam-6587	330	7	,	,	PUNCT
ejpam-6587	330	8	2011	2011	NUM
ejpam-6587	330	9	.	.	PUNCT
ejpam-6587	331	1	[	[	X
ejpam-6587	331	2	11	11	NUM
ejpam-6587	331	3	]	]	X
ejpam-6587	331	4	f.	f.	PROPN
ejpam-6587	331	5	m.	m.	PROPN
ejpam-6587	331	6	al	al	PROPN
ejpam-6587	331	7	-	-	PUNCT
ejpam-6587	331	8	askar	askar	PROPN
ejpam-6587	331	9	w.	w.	PROPN
ejpam-6587	331	10	w.	w.	PROPN
ejpam-6587	331	11	mohammed	mohammed	PROPN
ejpam-6587	331	12	,	,	PUNCT
ejpam-6587	331	13	c.	c.	PROPN
ejpam-6587	331	14	cesarano	cesarano	PROPN
ejpam-6587	331	15	and	and	CCONJ
ejpam-6587	331	16	m.	m.	PROPN
ejpam-6587	331	17	el	el	PROPN
ejpam-6587	331	18	-	-	PUNCT
ejpam-6587	331	19	morshedy	morshedy	PROPN
ejpam-6587	331	20	.	.	PUNCT
ejpam-6587	332	1	solitary	solitary	ADJ
ejpam-6587	332	2	wave	wave	NOUN
ejpam-6587	332	3	solutions	solution	NOUN
ejpam-6587	332	4	for	for	ADP
ejpam-6587	332	5	the	the	DET
ejpam-6587	332	6	stochastic	stochastic	ADJ
ejpam-6587	332	7	fractional	fractional	ADJ
ejpam-6587	332	8	-	-	PUNCT
ejpam-6587	332	9	space	space	NOUN
ejpam-6587	332	10	kdv	kdv	NOUN
ejpam-6587	332	11	in	in	ADP
ejpam-6587	332	12	the	the	DET
ejpam-6587	332	13	sense	sense	NOUN
ejpam-6587	332	14	of	of	ADP
ejpam-6587	332	15	the	the	DET
ejpam-6587	332	16	m	m	ADV
ejpam-6587	332	17	-	-	PUNCT
ejpam-6587	332	18	truncated	truncate	VERB
ejpam-6587	332	19	derivative	derivative	NOUN
ejpam-6587	332	20	.	.	PUNCT
ejpam-6587	333	1	mathematics	mathematic	NOUN
ejpam-6587	333	2	,	,	PUNCT
ejpam-6587	333	3	10:4792	10:4792	NUM
ejpam-6587	333	4	,	,	PUNCT
ejpam-6587	333	5	2022	2022	NUM
ejpam-6587	333	6	.	.	PUNCT
ejpam-6587	334	1	a.	a.	NOUN
ejpam-6587	334	2	alshuhail	alshuhail	PROPN
ejpam-6587	334	3	et	et	PROPN
ejpam-6587	334	4	al	al	PROPN
ejpam-6587	334	5	.	.	PUNCT
ejpam-6587	334	6	/	/	SYM
ejpam-6587	334	7	eur	eur	PROPN
ejpam-6587	334	8	.	.	PUNCT
ejpam-6587	335	1	j.	j.	PROPN
ejpam-6587	335	2	pure	pure	PROPN
ejpam-6587	335	3	appl	appl	PROPN
ejpam-6587	335	4	.	.	PROPN
ejpam-6587	335	5	math	math	PROPN
ejpam-6587	335	6	,	,	PUNCT
ejpam-6587	335	7	18	18	NUM
ejpam-6587	335	8	(	(	PUNCT
ejpam-6587	335	9	4	4	NUM
ejpam-6587	335	10	)	)	PUNCT
ejpam-6587	335	11	(	(	PUNCT
ejpam-6587	335	12	2025	2025	NUM
ejpam-6587	335	13	)	)	PUNCT
ejpam-6587	335	14	,	,	PUNCT
ejpam-6587	335	15	6587	6587	NUM
ejpam-6587	335	16	16	16	NUM
ejpam-6587	335	17	of	of	ADP
ejpam-6587	335	18	16	16	NUM
ejpam-6587	336	1	[	[	X
ejpam-6587	336	2	12	12	NUM
ejpam-6587	336	3	]	]	PUNCT
ejpam-6587	336	4	s.f.c	s.f.c	PROPN
ejpam-6587	336	5	.	.	PUNCT
ejpam-6587	336	6	maureen	maureen	PROPN
ejpam-6587	336	7	s.	s.	PROPN
ejpam-6587	336	8	masitah	masitah	PROPN
ejpam-6587	336	9	and	and	CCONJ
ejpam-6587	336	10	h.m.n	h.m.n	PROPN
ejpam-6587	336	11	.	.	PUNCT
ejpam-6587	337	1	hajah	hajah	PROPN
ejpam-6587	337	2	.	.	PUNCT
ejpam-6587	338	1	applying	apply	VERB
ejpam-6587	338	2	explicit	explicit	ADJ
ejpam-6587	338	3	schemes	scheme	NOUN
ejpam-6587	338	4	to	to	ADP
ejpam-6587	338	5	the	the	DET
ejpam-6587	338	6	korteweg	korteweg	NOUN
ejpam-6587	338	7	-	-	PUNCT
ejpam-6587	338	8	devries	devries	PROPN
ejpam-6587	338	9	equation	equation	NOUN
ejpam-6587	338	10	.	.	PUNCT
ejpam-6587	339	1	modern	modern	ADJ
ejpam-6587	339	2	applied	apply	VERB
ejpam-6587	339	3	science	science	NOUN
ejpam-6587	339	4	,	,	PUNCT
ejpam-6587	339	5	9:200	9:200	NUM
ejpam-6587	339	6	,	,	PUNCT
ejpam-6587	339	7	2015	2015	NUM
ejpam-6587	339	8	.	.	PUNCT
ejpam-6587	340	1	[	[	X
ejpam-6587	340	2	13	13	NUM
ejpam-6587	340	3	]	]	PUNCT
ejpam-6587	340	4	a.	a.	NOUN
ejpam-6587	340	5	m.wazwaz	m.wazwaz	NOUN
ejpam-6587	340	6	.	.	PUNCT
ejpam-6587	341	1	the	the	DET
ejpam-6587	341	2	extended	extend	VERB
ejpam-6587	341	3	tanh	tanh	NOUN
ejpam-6587	341	4	method	method	NOUN
ejpam-6587	341	5	for	for	ADP
ejpam-6587	341	6	abundant	abundant	ADJ
ejpam-6587	341	7	solitary	solitary	ADJ
ejpam-6587	341	8	wave	wave	NOUN
ejpam-6587	341	9	solutions	solution	NOUN
ejpam-6587	341	10	of	of	ADP
ejpam-6587	341	11	nonlinear	nonlinear	ADJ
ejpam-6587	341	12	wave	wave	NOUN
ejpam-6587	341	13	equations	equation	NOUN
ejpam-6587	341	14	.	.	PUNCT
ejpam-6587	342	1	applied	apply	VERB
ejpam-6587	342	2	mathematics	mathematic	NOUN
ejpam-6587	342	3	and	and	CCONJ
ejpam-6587	342	4	computation	computation	NOUN
ejpam-6587	342	5	,	,	PUNCT
ejpam-6587	342	6	187:1131–1142	187:1131–1142	NUM
ejpam-6587	342	7	,	,	PUNCT
ejpam-6587	342	8	2007	2007	NUM
ejpam-6587	342	9	.	.	PUNCT
ejpam-6587	343	1	[	[	X
ejpam-6587	343	2	14	14	NUM
ejpam-6587	343	3	]	]	X
ejpam-6587	343	4	e.	e.	PROPN
ejpam-6587	343	5	ayankop	ayankop	PROPN
ejpam-6587	343	6	-	-	PUNCT
ejpam-6587	343	7	andi	andi	PROPN
ejpam-6587	343	8	h.	h.	PROPN
ejpam-6587	343	9	orapine	orapine	PROPN
ejpam-6587	343	10	and	and	CCONJ
ejpam-6587	343	11	g.	g.	PROPN
ejpam-6587	343	12	ibeh	ibeh	PROPN
ejpam-6587	343	13	.	.	PUNCT
ejpam-6587	344	1	analytical	analytical	ADJ
ejpam-6587	344	2	and	and	CCONJ
ejpam-6587	344	3	numerical	numerical	ADJ
ejpam-6587	344	4	computations	computation	NOUN
ejpam-6587	344	5	of	of	ADP
ejpam-6587	344	6	multi	multi	NOUN
ejpam-6587	344	7	-	-	NOUN
ejpam-6587	344	8	solitons	soliton	NOUN
ejpam-6587	344	9	in	in	ADP
ejpam-6587	344	10	the	the	DET
ejpam-6587	344	11	korteweg	korteweg	NOUN
ejpam-6587	344	12	-	-	PUNCT
ejpam-6587	344	13	de	de	PROPN
ejpam-6587	344	14	vries	vries	PROPN
ejpam-6587	344	15	(	(	PUNCT
ejpam-6587	344	16	kdv)equation	kdv)equation	PROPN
ejpam-6587	344	17	.	.	PUNCT
ejpam-6587	345	1	applied	apply	VERB
ejpam-6587	345	2	mathematics	mathematic	NOUN
ejpam-6587	345	3	,	,	PUNCT
ejpam-6587	345	4	11:511	11:511	NUM
ejpam-6587	345	5	–	–	PUNCT
ejpam-6587	345	6	531	531	NUM
ejpam-6587	345	7	,	,	PUNCT
ejpam-6587	345	8	2020	2020	NUM
ejpam-6587	345	9	.	.	PUNCT
ejpam-6587	346	1	[	[	X
ejpam-6587	346	2	15	15	NUM
ejpam-6587	346	3	]	]	X
ejpam-6587	346	4	w.	w.	PROPN
ejpam-6587	346	5	w.	w.	PROPN
ejpam-6587	346	6	mohammed	mohammed	PROPN
ejpam-6587	346	7	n.	n.	PROPN
ejpam-6587	346	8	iqbal	iqbal	PROPN
ejpam-6587	346	9	,	,	PUNCT
ejpam-6587	346	10	t.	t.	NOUN
ejpam-6587	346	11	botmart	botmart	NOUN
ejpam-6587	346	12	and	and	CCONJ
ejpam-6587	346	13	a.	a.	PROPN
ejpam-6587	346	14	ali	ali	PROPN
ejpam-6587	346	15	.	.	PROPN
ejpam-6587	347	1	numerical	numerical	PROPN
ejpam-6587	347	2	investigation	investigation	NOUN
ejpam-6587	347	3	of	of	ADP
ejpam-6587	347	4	fractional	fractional	ADJ
ejpam-6587	347	5	-	-	PUNCT
ejpam-6587	347	6	order	order	NOUN
ejpam-6587	347	7	kersten	kersten	VERB
ejpam-6587	347	8	-	-	PUNCT
ejpam-6587	347	9	krasil’shchik	krasil’shchik	NOUN
ejpam-6587	347	10	coupled	couple	VERB
ejpam-6587	347	11	kdv	kdv	NOUN
ejpam-6587	347	12	–	–	PUNCT
ejpam-6587	347	13	mkdv	mkdv	NOUN
ejpam-6587	347	14	system	system	NOUN
ejpam-6587	347	15	with	with	ADP
ejpam-6587	347	16	atangana	atangana	PROPN
ejpam-6587	347	17	–	–	PUNCT
ejpam-6587	347	18	baleanu	baleanu	ADJ
ejpam-6587	347	19	derivative	derivative	NOUN
ejpam-6587	347	20	.	.	PUNCT
ejpam-6587	348	1	advances	advance	NOUN
ejpam-6587	348	2	in	in	ADP
ejpam-6587	348	3	continuous	continuous	ADJ
ejpam-6587	348	4	and	and	CCONJ
ejpam-6587	348	5	discrete	discrete	ADJ
ejpam-6587	348	6	models	model	NOUN
ejpam-6587	348	7	,	,	PUNCT
ejpam-6587	348	8	2020:37	2020:37	NOUN
ejpam-6587	348	9	,	,	PUNCT
ejpam-6587	348	10	2022	2022	NUM
ejpam-6587	348	11	.	.	PUNCT
ejpam-6587	349	1	[	[	X
ejpam-6587	349	2	16	16	NUM
ejpam-6587	349	3	]	]	X
ejpam-6587	349	4	w.	w.	PROPN
ejpam-6587	349	5	w.	w.	PROPN
ejpam-6587	349	6	mohammed	mohammed	PROPN
ejpam-6587	349	7	m.	m.	PROPN
ejpam-6587	349	8	alshammari	alshammari	PROPN
ejpam-6587	349	9	,	,	PUNCT
ejpam-6587	349	10	n.	n.	PROPN
ejpam-6587	349	11	iqbal	iqbal	PROPN
ejpam-6587	349	12	and	and	CCONJ
ejpam-6587	349	13	t.	t.	PROPN
ejpam-6587	349	14	botmart	botmart	NOUN
ejpam-6587	349	15	.	.	PUNCT
ejpam-6587	350	1	the	the	DET
ejpam-6587	350	2	solution	solution	NOUN
ejpam-6587	350	3	of	of	ADP
ejpam-6587	350	4	fractional	fractional	ADJ
ejpam-6587	350	5	-	-	PUNCT
ejpam-6587	350	6	order	order	NOUN
ejpam-6587	350	7	system	system	NOUN
ejpam-6587	350	8	of	of	ADP
ejpam-6587	350	9	kdv	kdv	NOUN
ejpam-6587	350	10	equations	equation	NOUN
ejpam-6587	350	11	with	with	ADP
ejpam-6587	350	12	exponential	exponential	ADJ
ejpam-6587	350	13	-	-	PUNCT
ejpam-6587	350	14	decay	decay	NOUN
ejpam-6587	350	15	kernel	kernel	NOUN
ejpam-6587	350	16	.	.	PUNCT
ejpam-6587	351	1	results	result	NOUN
ejpam-6587	351	2	in	in	ADP
ejpam-6587	351	3	physics	physics	NOUN
ejpam-6587	351	4	,	,	PUNCT
ejpam-6587	351	5	38:105615	38:105615	NUM
ejpam-6587	351	6	,	,	PUNCT
ejpam-6587	351	7	2022	2022	NUM
ejpam-6587	351	8	.	.	PUNCT
ejpam-6587	352	1	[	[	X
ejpam-6587	352	2	17	17	NUM
ejpam-6587	352	3	]	]	X
ejpam-6587	352	4	f.	f.	PROPN
ejpam-6587	352	5	m.	m.	PROPN
ejpam-6587	352	6	al	al	PROPN
ejpam-6587	352	7	-	-	PUNCT
ejpam-6587	352	8	askar	askar	PROPN
ejpam-6587	352	9	w.	w.	PROPN
ejpam-6587	352	10	w.	w.	PROPN
ejpam-6587	352	11	mohammed	mohammed	PROPN
ejpam-6587	352	12	and	and	CCONJ
ejpam-6587	352	13	c.	c.	PROPN
ejpam-6587	352	14	cesarano	cesarano	PROPN
ejpam-6587	352	15	.	.	PUNCT
ejpam-6587	353	1	on	on	ADP
ejpam-6587	353	2	the	the	DET
ejpam-6587	353	3	dynamical	dynamical	ADJ
ejpam-6587	353	4	behavior	behavior	NOUN
ejpam-6587	353	5	of	of	ADP
ejpam-6587	353	6	solitary	solitary	ADJ
ejpam-6587	353	7	waves	wave	NOUN
ejpam-6587	353	8	for	for	ADP
ejpam-6587	353	9	coupled	couple	VERB
ejpam-6587	353	10	stochastic	stochastic	ADJ
ejpam-6587	353	11	korteweg	korteweg	NOUN
ejpam-6587	353	12	–	–	PUNCT
ejpam-6587	353	13	de	de	PROPN
ejpam-6587	353	14	vries	vries	PROPN
ejpam-6587	353	15	equations	equation	NOUN
ejpam-6587	353	16	.	.	PUNCT
ejpam-6587	354	1	mathematics	mathematic	NOUN
ejpam-6587	354	2	,	,	PUNCT
ejpam-6587	354	3	11:3506	11:3506	NUM
ejpam-6587	354	4	,	,	PUNCT
ejpam-6587	354	5	2023	2023	NUM
ejpam-6587	354	6	.	.	PUNCT
ejpam-6587	355	1	[	[	X
ejpam-6587	355	2	18	18	NUM
ejpam-6587	355	3	]	]	PUNCT
ejpam-6587	355	4	a.	a.	PROPN
ejpam-6587	355	5	saha	saha	PROPN
ejpam-6587	355	6	r.	r.	PROPN
ejpam-6587	355	7	ali	ali	PROPN
ejpam-6587	355	8	and	and	CCONJ
ejpam-6587	355	9	p.	p.	PROPN
ejpam-6587	355	10	chatterjee	chatterjee	PROPN
ejpam-6587	355	11	.	.	PUNCT
ejpam-6587	356	1	analytical	analytical	ADJ
ejpam-6587	356	2	electron	electron	NOUN
ejpam-6587	356	3	acoustic	acoustic	ADJ
ejpam-6587	356	4	solitary	solitary	ADJ
ejpam-6587	356	5	wave	wave	NOUN
ejpam-6587	356	6	solution	solution	NOUN
ejpam-6587	356	7	for	for	ADP
ejpam-6587	356	8	the	the	DET
ejpam-6587	356	9	forced	force	VERB
ejpam-6587	356	10	kdv	kdv	NOUN
ejpam-6587	356	11	equation	equation	NOUN
ejpam-6587	356	12	in	in	ADP
ejpam-6587	356	13	superthermal	superthermal	ADJ
ejpam-6587	356	14	plasmas	plasma	NOUN
ejpam-6587	356	15	.	.	PUNCT
ejpam-6587	357	1	physics	physics	NOUN
ejpam-6587	357	2	of	of	ADP
ejpam-6587	357	3	plasmas	plasma	NOUN
ejpam-6587	357	4	,	,	PUNCT
ejpam-6587	357	5	24:122106	24:122106	NUM
ejpam-6587	357	6	,	,	PUNCT
ejpam-6587	357	7	2017	2017	NUM
ejpam-6587	357	8	.	.	PUNCT
ejpam-6587	358	1	[	[	X
ejpam-6587	358	2	19	19	NUM
ejpam-6587	358	3	]	]	X
ejpam-6587	358	4	e.	e.	PROPN
ejpam-6587	358	5	fan	fan	PROPN
ejpam-6587	358	6	and	and	CCONJ
ejpam-6587	358	7	j.	j.	PROPN
ejpam-6587	358	8	zhang	zhang	PROPN
ejpam-6587	358	9	.	.	PUNCT
ejpam-6587	359	1	applications	application	NOUN
ejpam-6587	359	2	of	of	ADP
ejpam-6587	359	3	the	the	DET
ejpam-6587	359	4	jacobi	jacobi	PROPN
ejpam-6587	359	5	elliptic	elliptic	ADJ
ejpam-6587	359	6	function	function	NOUN
ejpam-6587	359	7	method	method	NOUN
ejpam-6587	359	8	to	to	PART
ejpam-6587	359	9	specialtype	specialtype	VERB
ejpam-6587	359	10	nonlinear	nonlinear	ADJ
ejpam-6587	359	11	equations	equation	NOUN
ejpam-6587	359	12	.	.	PUNCT
ejpam-6587	360	1	physics	physics	NOUN
ejpam-6587	360	2	letters	letter	NOUN
ejpam-6587	360	3	a	a	PRON
ejpam-6587	360	4	,	,	PUNCT
ejpam-6587	360	5	305:383–392	305:383–392	NUM
ejpam-6587	360	6	,	,	PUNCT
ejpam-6587	360	7	2002	2002	NUM
ejpam-6587	360	8	.	.	PUNCT
ejpam-6587	361	1	[	[	X
ejpam-6587	361	2	20	20	NUM
ejpam-6587	361	3	]	]	PUNCT
ejpam-6587	361	4	s.	s.	PROPN
ejpam-6587	361	5	d.	d.	PROPN
ejpam-6587	361	6	zhu	zhu	PROPN
ejpam-6587	361	7	.	.	PUNCT
ejpam-6587	362	1	the	the	DET
ejpam-6587	362	2	generalizing	generalize	VERB
ejpam-6587	362	3	riccati	riccati	NOUN
ejpam-6587	362	4	equation	equation	NOUN
ejpam-6587	362	5	mapping	mapping	NOUN
ejpam-6587	362	6	method	method	NOUN
ejpam-6587	362	7	in	in	ADP
ejpam-6587	362	8	non	non	ADJ
ejpam-6587	362	9	-	-	ADJ
ejpam-6587	362	10	linear	linear	ADJ
ejpam-6587	362	11	evolution	evolution	NOUN
ejpam-6587	362	12	equation	equation	NOUN
ejpam-6587	362	13	:	:	PUNCT
ejpam-6587	362	14	application	application	NOUN
ejpam-6587	362	15	to	to	ADP
ejpam-6587	362	16	(	(	PUNCT
ejpam-6587	362	17	2	2	NUM
ejpam-6587	362	18	+1)-dimensional	+1)-dimensional	PROPN
ejpam-6587	362	19	boiti	boiti	PROPN
ejpam-6587	362	20	–	–	PUNCT
ejpam-6587	362	21	leon	leon	PROPN
ejpam-6587	362	22	–	–	PUNCT
ejpam-6587	362	23	pempinelle	pempinelle	NOUN
ejpam-6587	362	24	equation	equation	NOUN
ejpam-6587	362	25	.	.	PUNCT
ejpam-6587	363	1	chaos	chaos	NOUN
ejpam-6587	363	2	,	,	PUNCT
ejpam-6587	363	3	solitons	soliton	NOUN
ejpam-6587	363	4	fractals	fractal	NOUN
ejpam-6587	363	5	,	,	PUNCT
ejpam-6587	363	6	37:1335–1342	37:1335–1342	NUM
ejpam-6587	363	7	,	,	PUNCT
ejpam-6587	363	8	2008	2008	NUM
ejpam-6587	363	9	.	.	PUNCT