id	sid	tid	token	lemma	pos
ejpam-5665	1	1	european	european	PROPN
ejpam-5665	1	2	journal	journal	PROPN
ejpam-5665	1	3	of	of	ADP
ejpam-5665	1	4	pure	pure	ADJ
ejpam-5665	1	5	and	and	CCONJ
ejpam-5665	1	6	applied	applied	ADJ
ejpam-5665	1	7	mathematics	mathematic	NOUN
ejpam-5665	1	8	2025	2025	NUM
ejpam-5665	1	9	,	,	PUNCT
ejpam-5665	1	10	vol	vol	NOUN
ejpam-5665	1	11	.	.	PROPN
ejpam-5665	1	12	18	18	NUM
ejpam-5665	1	13	,	,	PUNCT
ejpam-5665	1	14	issue	issue	NOUN
ejpam-5665	1	15	1	1	NUM
ejpam-5665	1	16	,	,	PUNCT
ejpam-5665	1	17	article	article	NOUN
ejpam-5665	1	18	number	number	NOUN
ejpam-5665	1	19	5665	5665	NUM
ejpam-5665	1	20	issn	issn	VERB
ejpam-5665	1	21	1307	1307	NUM
ejpam-5665	1	22	-	-	SYM
ejpam-5665	1	23	5543	5543	NUM
ejpam-5665	1	24	–	–	PUNCT
ejpam-5665	1	25	ejpam.com	ejpam.com	X
ejpam-5665	1	26	published	publish	VERB
ejpam-5665	1	27	by	by	ADP
ejpam-5665	1	28	new	new	PROPN
ejpam-5665	1	29	york	york	PROPN
ejpam-5665	1	30	business	business	PROPN
ejpam-5665	1	31	global	global	ADJ
ejpam-5665	1	32	random	random	ADJ
ejpam-5665	1	33	wave	wave	NOUN
ejpam-5665	1	34	equation	equation	NOUN
ejpam-5665	1	35	for	for	ADP
ejpam-5665	1	36	the	the	DET
ejpam-5665	1	37	stochastic	stochastic	ADJ
ejpam-5665	1	38	quantum	quantum	ADJ
ejpam-5665	1	39	zakharov	zakharov	ADJ
ejpam-5665	1	40	-	-	PUNCT
ejpam-5665	1	41	kuznetsov	kuznetsov	NOUN
ejpam-5665	1	42	equation	equation	NOUN
ejpam-5665	1	43	and	and	CCONJ
ejpam-5665	1	44	their	their	PRON
ejpam-5665	1	45	exact	exact	ADJ
ejpam-5665	1	46	solutions	solution	NOUN
ejpam-5665	1	47	wael	wael	PROPN
ejpam-5665	1	48	w.	w.	PROPN
ejpam-5665	1	49	mohammed1,∗	mohammed1,∗	PROPN
ejpam-5665	1	50	,	,	PUNCT
ejpam-5665	1	51	rabeb	rabeb	NOUN
ejpam-5665	1	52	sidaoui1	sidaoui1	NOUN
ejpam-5665	1	53	,	,	PUNCT
ejpam-5665	1	54	hessa	hessa	PROPN
ejpam-5665	1	55	w	w	PROPN
ejpam-5665	1	56	alshammari1	alshammari1	PROPN
ejpam-5665	1	57	,	,	PUNCT
ejpam-5665	1	58	mohamed	mohamed	PROPN
ejpam-5665	1	59	s.	s.	PROPN
ejpam-5665	1	60	algolam	algolam	PROPN
ejpam-5665	1	61	1	1	NUM
ejpam-5665	1	62	department	department	NOUN
ejpam-5665	1	63	of	of	ADP
ejpam-5665	1	64	mathematics	mathematic	NOUN
ejpam-5665	1	65	,	,	PUNCT
ejpam-5665	1	66	college	college	NOUN
ejpam-5665	1	67	of	of	ADP
ejpam-5665	1	68	science	science	NOUN
ejpam-5665	1	69	,	,	PUNCT
ejpam-5665	1	70	university	university	NOUN
ejpam-5665	1	71	of	of	ADP
ejpam-5665	1	72	ha’il	ha’il	PROPN
ejpam-5665	1	73	,	,	PUNCT
ejpam-5665	1	74	ha’il	ha’il	PROPN
ejpam-5665	1	75	2440	2440	NUM
ejpam-5665	1	76	,	,	PUNCT
ejpam-5665	1	77	saudi	saudi	PROPN
ejpam-5665	1	78	arabia	arabia	PROPN
ejpam-5665	1	79	abstract	abstract	NOUN
ejpam-5665	1	80	.	.	PUNCT
ejpam-5665	2	1	in	in	ADP
ejpam-5665	2	2	this	this	DET
ejpam-5665	2	3	study	study	NOUN
ejpam-5665	2	4	,	,	PUNCT
ejpam-5665	2	5	we	we	PRON
ejpam-5665	2	6	consider	consider	VERB
ejpam-5665	2	7	the	the	DET
ejpam-5665	2	8	stochastic	stochastic	ADJ
ejpam-5665	2	9	quantum	quantum	ADJ
ejpam-5665	2	10	zakharov	zakharov	ADJ
ejpam-5665	2	11	-	-	PUNCT
ejpam-5665	2	12	kuznetsov	kuznetsov	NOUN
ejpam-5665	2	13	equation	equation	NOUN
ejpam-5665	2	14	(	(	PUNCT
ejpam-5665	2	15	sqzke	sqzke	NOUN
ejpam-5665	2	16	)	)	PUNCT
ejpam-5665	2	17	perturbed	perturb	VERB
ejpam-5665	2	18	in	in	ADP
ejpam-5665	2	19	the	the	DET
ejpam-5665	2	20	itô	itô	PROPN
ejpam-5665	2	21	sense	sense	NOUN
ejpam-5665	2	22	by	by	ADP
ejpam-5665	2	23	multiplicative	multiplicative	ADJ
ejpam-5665	2	24	brownian	brownian	ADJ
ejpam-5665	2	25	motion	motion	NOUN
ejpam-5665	2	26	.	.	PUNCT
ejpam-5665	3	1	we	we	PRON
ejpam-5665	3	2	employ	employ	VERB
ejpam-5665	3	3	a	a	DET
ejpam-5665	3	4	suitable	suitable	ADJ
ejpam-5665	3	5	transformation	transformation	NOUN
ejpam-5665	3	6	for	for	ADP
ejpam-5665	3	7	changing	change	VERB
ejpam-5665	3	8	the	the	DET
ejpam-5665	3	9	sqzke	sqzke	NOUN
ejpam-5665	3	10	to	to	ADP
ejpam-5665	3	11	another	another	DET
ejpam-5665	3	12	qzke	qzke	NOUN
ejpam-5665	3	13	with	with	ADP
ejpam-5665	3	14	random	random	ADJ
ejpam-5665	3	15	variable	variable	ADJ
ejpam-5665	3	16	coefficients	coefficient	NOUN
ejpam-5665	3	17	(	(	PUNCT
ejpam-5665	3	18	qzke	qzke	NOUN
ejpam-5665	3	19	-	-	PUNCT
ejpam-5665	3	20	rvcs	rvcs	NOUN
ejpam-5665	3	21	)	)	PUNCT
ejpam-5665	3	22	.	.	PUNCT
ejpam-5665	4	1	utilizing	utilize	VERB
ejpam-5665	4	2	the	the	DET
ejpam-5665	4	3	modified	modify	VERB
ejpam-5665	4	4	extended	extend	VERB
ejpam-5665	4	5	tanh	tanh	NOUN
ejpam-5665	4	6	function	function	NOUN
ejpam-5665	4	7	method	method	NOUN
ejpam-5665	4	8	and	and	CCONJ
ejpam-5665	4	9	the	the	DET
ejpam-5665	4	10	jacobi	jacobi	PROPN
ejpam-5665	4	11	elliptic	elliptic	PROPN
ejpam-5665	4	12	function	function	PROPN
ejpam-5665	4	13	approach	approach	NOUN
ejpam-5665	4	14	,	,	PUNCT
ejpam-5665	4	15	we	we	PRON
ejpam-5665	4	16	get	get	VERB
ejpam-5665	4	17	novel	novel	ADJ
ejpam-5665	4	18	hyperbolic	hyperbolic	ADJ
ejpam-5665	4	19	,	,	PUNCT
ejpam-5665	4	20	elliptic	elliptic	ADJ
ejpam-5665	4	21	,	,	PUNCT
ejpam-5665	4	22	trigonometric	trigonometric	ADJ
ejpam-5665	4	23	,	,	PUNCT
ejpam-5665	4	24	and	and	CCONJ
ejpam-5665	4	25	rational	rational	ADJ
ejpam-5665	4	26	solutions	solution	NOUN
ejpam-5665	4	27	for	for	ADP
ejpam-5665	4	28	qzke	qzke	NOUN
ejpam-5665	4	29	-	-	PUNCT
ejpam-5665	4	30	rvcs	rvcs	NOUN
ejpam-5665	4	31	.	.	PUNCT
ejpam-5665	5	1	the	the	DET
ejpam-5665	5	2	sqzke	sqzke	NOUN
ejpam-5665	5	3	solutions	solution	NOUN
ejpam-5665	5	4	can	can	AUX
ejpam-5665	5	5	then	then	ADV
ejpam-5665	5	6	be	be	AUX
ejpam-5665	5	7	obtained	obtain	VERB
ejpam-5665	5	8	.	.	PUNCT
ejpam-5665	6	1	additionally	additionally	ADV
ejpam-5665	6	2	,	,	PUNCT
ejpam-5665	6	3	we	we	PRON
ejpam-5665	6	4	present	present	VERB
ejpam-5665	6	5	many	many	ADJ
ejpam-5665	6	6	graphic	graphic	ADJ
ejpam-5665	6	7	representations	representation	NOUN
ejpam-5665	6	8	to	to	PART
ejpam-5665	6	9	demonstrate	demonstrate	VERB
ejpam-5665	6	10	how	how	SCONJ
ejpam-5665	6	11	multiplicative	multiplicative	ADJ
ejpam-5665	6	12	brownian	brownian	ADJ
ejpam-5665	6	13	motion	motion	NOUN
ejpam-5665	6	14	affects	affect	VERB
ejpam-5665	6	15	the	the	DET
ejpam-5665	6	16	exact	exact	ADJ
ejpam-5665	6	17	solutions	solution	NOUN
ejpam-5665	6	18	of	of	ADP
ejpam-5665	6	19	the	the	DET
ejpam-5665	6	20	sqzke	sqzke	NOUN
ejpam-5665	6	21	.	.	PUNCT
ejpam-5665	7	1	2020	2020	NUM
ejpam-5665	7	2	mathematics	mathematic	NOUN
ejpam-5665	7	3	subject	subject	NOUN
ejpam-5665	7	4	classifications	classification	NOUN
ejpam-5665	7	5	:	:	PUNCT
ejpam-5665	7	6	35a20	35a20	NUM
ejpam-5665	7	7	,	,	PUNCT
ejpam-5665	7	8	83c15	83c15	NUM
ejpam-5665	7	9	,	,	PUNCT
ejpam-5665	7	10	60h10	60h10	NUM
ejpam-5665	7	11	,	,	PUNCT
ejpam-5665	7	12	60h15	60h15	NUM
ejpam-5665	7	13	,	,	PUNCT
ejpam-5665	7	14	35q51	35q51	NUM
ejpam-5665	7	15	key	key	ADJ
ejpam-5665	7	16	words	word	NOUN
ejpam-5665	7	17	and	and	CCONJ
ejpam-5665	7	18	phrases	phrase	NOUN
ejpam-5665	7	19	:	:	PUNCT
ejpam-5665	7	20	brownian	brownian	ADJ
ejpam-5665	7	21	motion	motion	NOUN
ejpam-5665	7	22	,	,	PUNCT
ejpam-5665	7	23	zakharov	zakharov	ADJ
ejpam-5665	7	24	-	-	PUNCT
ejpam-5665	7	25	kuznetsov	kuznetsov	NOUN
ejpam-5665	7	26	equation	equation	NOUN
ejpam-5665	7	27	,	,	PUNCT
ejpam-5665	7	28	modified	modify	VERB
ejpam-5665	7	29	extended	extend	VERB
ejpam-5665	7	30	tanh	tanh	NOUN
ejpam-5665	7	31	function	function	NOUN
ejpam-5665	7	32	method	method	NOUN
ejpam-5665	7	33	1	1	NUM
ejpam-5665	7	34	.	.	PUNCT
ejpam-5665	7	35	introduction	introduction	NOUN
ejpam-5665	7	36	the	the	DET
ejpam-5665	7	37	quantum	quantum	ADJ
ejpam-5665	7	38	zakharov	zakharov	ADJ
ejpam-5665	7	39	-	-	PUNCT
ejpam-5665	7	40	kuznetsov	kuznetsov	NOUN
ejpam-5665	7	41	equation	equation	NOUN
ejpam-5665	7	42	(	(	PUNCT
ejpam-5665	7	43	qzke	qzke	NOUN
ejpam-5665	7	44	)	)	PUNCT
ejpam-5665	7	45	is	be	AUX
ejpam-5665	7	46	a	a	DET
ejpam-5665	7	47	fundamental	fundamental	ADJ
ejpam-5665	7	48	equation	equation	NOUN
ejpam-5665	7	49	in	in	ADP
ejpam-5665	7	50	the	the	DET
ejpam-5665	7	51	field	field	NOUN
ejpam-5665	7	52	of	of	ADP
ejpam-5665	7	53	quantum	quantum	NOUN
ejpam-5665	7	54	plasmas	plasma	NOUN
ejpam-5665	7	55	,	,	PUNCT
ejpam-5665	7	56	which	which	PRON
ejpam-5665	7	57	explains	explain	VERB
ejpam-5665	7	58	the	the	DET
ejpam-5665	7	59	behavior	behavior	NOUN
ejpam-5665	7	60	of	of	ADP
ejpam-5665	7	61	small	small	ADJ
ejpam-5665	7	62	-	-	PUNCT
ejpam-5665	7	63	scale	scale	NOUN
ejpam-5665	7	64	electromagnetic	electromagnetic	ADJ
ejpam-5665	7	65	waves	wave	NOUN
ejpam-5665	7	66	in	in	ADP
ejpam-5665	7	67	a	a	DET
ejpam-5665	7	68	plasma	plasma	NOUN
ejpam-5665	7	69	.	.	PUNCT
ejpam-5665	8	1	it	it	PRON
ejpam-5665	8	2	is	be	AUX
ejpam-5665	8	3	an	an	DET
ejpam-5665	8	4	extension	extension	NOUN
ejpam-5665	8	5	of	of	ADP
ejpam-5665	8	6	the	the	DET
ejpam-5665	8	7	classical	classical	ADJ
ejpam-5665	8	8	zakharov	zakharov	ADJ
ejpam-5665	8	9	-	-	PUNCT
ejpam-5665	8	10	kuznetsov	kuznetsov	NOUN
ejpam-5665	8	11	equation	equation	NOUN
ejpam-5665	8	12	,	,	PUNCT
ejpam-5665	8	13	which	which	PRON
ejpam-5665	8	14	itself	itself	PRON
ejpam-5665	8	15	describes	describe	VERB
ejpam-5665	8	16	the	the	DET
ejpam-5665	8	17	propagation	propagation	NOUN
ejpam-5665	8	18	of	of	ADP
ejpam-5665	8	19	nonlinear	nonlinear	ADJ
ejpam-5665	8	20	ion	ion	NOUN
ejpam-5665	8	21	acoustic	acoustic	ADJ
ejpam-5665	8	22	solitary	solitary	ADJ
ejpam-5665	8	23	waves	wave	NOUN
ejpam-5665	8	24	in	in	ADP
ejpam-5665	8	25	a	a	DET
ejpam-5665	8	26	plasma	plasma	NOUN
ejpam-5665	8	27	[	[	X
ejpam-5665	8	28	7	7	NUM
ejpam-5665	8	29	]	]	PUNCT
ejpam-5665	8	30	.	.	PUNCT
ejpam-5665	9	1	the	the	DET
ejpam-5665	9	2	qzke	qzke	NOUN
ejpam-5665	9	3	takes	take	VERB
ejpam-5665	9	4	into	into	ADP
ejpam-5665	9	5	account	account	NOUN
ejpam-5665	9	6	the	the	DET
ejpam-5665	9	7	quantum	quantum	ADJ
ejpam-5665	9	8	nature	nature	NOUN
ejpam-5665	9	9	of	of	ADP
ejpam-5665	9	10	the	the	DET
ejpam-5665	9	11	plasma	plasma	NOUN
ejpam-5665	9	12	particles	particle	NOUN
ejpam-5665	9	13	,	,	PUNCT
ejpam-5665	9	14	introducing	introduce	VERB
ejpam-5665	9	15	the	the	DET
ejpam-5665	9	16	concept	concept	NOUN
ejpam-5665	9	17	of	of	ADP
ejpam-5665	9	18	quantum	quantum	ADJ
ejpam-5665	9	19	effects	effect	NOUN
ejpam-5665	9	20	such	such	ADJ
ejpam-5665	9	21	as	as	ADP
ejpam-5665	9	22	quantum	quantum	NOUN
ejpam-5665	9	23	pressure	pressure	NOUN
ejpam-5665	9	24	and	and	CCONJ
ejpam-5665	9	25	quantum	quantum	NOUN
ejpam-5665	9	26	bohm	bohm	PROPN
ejpam-5665	9	27	potential	potential	NOUN
ejpam-5665	9	28	.	.	PUNCT
ejpam-5665	10	1	these	these	DET
ejpam-5665	10	2	quantum	quantum	ADJ
ejpam-5665	10	3	effects	effect	NOUN
ejpam-5665	10	4	play	play	VERB
ejpam-5665	10	5	a	a	DET
ejpam-5665	10	6	important	important	ADJ
ejpam-5665	10	7	role	role	NOUN
ejpam-5665	10	8	in	in	ADP
ejpam-5665	10	9	the	the	DET
ejpam-5665	10	10	dynamics	dynamic	NOUN
ejpam-5665	10	11	of	of	ADP
ejpam-5665	10	12	the	the	DET
ejpam-5665	10	13	plasma	plasma	NOUN
ejpam-5665	10	14	,	,	PUNCT
ejpam-5665	10	15	as	as	SCONJ
ejpam-5665	10	16	they	they	PRON
ejpam-5665	10	17	affect	affect	VERB
ejpam-5665	10	18	the	the	DET
ejpam-5665	10	19	behavior	behavior	NOUN
ejpam-5665	10	20	of	of	ADP
ejpam-5665	10	21	the	the	DET
ejpam-5665	10	22	solitary	solitary	ADJ
ejpam-5665	10	23	waves	wave	NOUN
ejpam-5665	10	24	.	.	PUNCT
ejpam-5665	11	1	the	the	DET
ejpam-5665	11	2	equation	equation	NOUN
ejpam-5665	11	3	provides	provide	VERB
ejpam-5665	11	4	insights	insight	NOUN
ejpam-5665	11	5	into	into	ADP
ejpam-5665	11	6	the	the	DET
ejpam-5665	11	7	quantum	quantum	ADJ
ejpam-5665	11	8	effects	effect	NOUN
ejpam-5665	11	9	and	and	CCONJ
ejpam-5665	11	10	their	their	PRON
ejpam-5665	11	11	impact	impact	NOUN
ejpam-5665	11	12	on	on	ADP
ejpam-5665	11	13	the	the	DET
ejpam-5665	11	14	structure	structure	NOUN
ejpam-5665	11	15	and	and	CCONJ
ejpam-5665	11	16	stability	stability	NOUN
ejpam-5665	11	17	of	of	ADP
ejpam-5665	11	18	solitary	solitary	ADJ
ejpam-5665	11	19	waves	wave	NOUN
ejpam-5665	11	20	in	in	ADP
ejpam-5665	11	21	the	the	DET
ejpam-5665	11	22	plasma	plasma	NOUN
ejpam-5665	11	23	.	.	PUNCT
ejpam-5665	12	1	∗corresponding	∗corresponde	VERB
ejpam-5665	12	2	author	author	NOUN
ejpam-5665	12	3	.	.	PUNCT
ejpam-5665	13	1	doi	doi	NOUN
ejpam-5665	13	2	:	:	PUNCT
ejpam-5665	13	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5665	https://doi.org/10.29020/nybg.ejpam.v18i1.5665	PROPN
ejpam-5665	13	4	email	email	NOUN
ejpam-5665	13	5	addresses	address	VERB
ejpam-5665	13	6	:	:	PUNCT
ejpam-5665	13	7	w.mohammed@uoh.edu.sa	w.mohammed@uoh.edu.sa	PROPN
ejpam-5665	13	8	(	(	PUNCT
ejpam-5665	13	9	w.w	w.w	PROPN
ejpam-5665	13	10	.	.	PROPN
ejpam-5665	13	11	mohammed	mohammed	PROPN
ejpam-5665	13	12	)	)	PUNCT
ejpam-5665	13	13	,	,	PUNCT
ejpam-5665	13	14	ra.sidaoui@uog.edu.sa	ra.sidaoui@uog.edu.sa	PROPN
ejpam-5665	13	15	(	(	PUNCT
ejpam-5665	13	16	r.	r.	PROPN
ejpam-5665	13	17	sidaoui	sidaoui	PROPN
ejpam-5665	13	18	)	)	PUNCT
ejpam-5665	13	19	,	,	PUNCT
ejpam-5665	13	20	wwelhadad@gmail.com	wwelhadad@gmail.com	X
ejpam-5665	14	1	(	(	PUNCT
ejpam-5665	14	2	h.	h.	PROPN
ejpam-5665	14	3	w.	w.	PROPN
ejpam-5665	14	4	alshammari	alshammari	PROPN
ejpam-5665	14	5	)	)	PUNCT
ejpam-5665	14	6	m.algolam@uoh.edu.sa	m.algolam@uoh.edu.sa	PROPN
ejpam-5665	15	1	(	(	PUNCT
ejpam-5665	15	2	m.	m.	PROPN
ejpam-5665	15	3	s.	s.	PROPN
ejpam-5665	15	4	algolam	algolam	PROPN
ejpam-5665	15	5	)	)	PUNCT
ejpam-5665	15	6	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5665	15	7	1	1	NUM
ejpam-5665	15	8	copyright	copyright	NOUN
ejpam-5665	15	9	:	:	PUNCT
ejpam-5665	15	10	©	©	PROPN
ejpam-5665	15	11	2025	2025	NUM
ejpam-5665	15	12	the	the	DET
ejpam-5665	15	13	author(s	author(s	NOUN
ejpam-5665	15	14	)	)	PUNCT
ejpam-5665	15	15	.	.	PUNCT
ejpam-5665	16	1	(	(	PUNCT
ejpam-5665	16	2	cc	cc	NOUN
ejpam-5665	16	3	by	by	ADP
ejpam-5665	16	4	-	-	PUNCT
ejpam-5665	16	5	nc	nc	PROPN
ejpam-5665	16	6	4.0	4.0	NUM
ejpam-5665	16	7	)	)	PUNCT
ejpam-5665	16	8	w.	w.	PROPN
ejpam-5665	16	9	w.	w.	PROPN
ejpam-5665	16	10	mohammed	mohammed	PROPN
ejpam-5665	16	11	et	et	PROPN
ejpam-5665	16	12	al	al	PROPN
ejpam-5665	16	13	.	.	PUNCT
ejpam-5665	16	14	/	/	SYM
ejpam-5665	16	15	eur	eur	PROPN
ejpam-5665	16	16	.	.	PUNCT
ejpam-5665	17	1	j.	j.	PROPN
ejpam-5665	17	2	pure	pure	PROPN
ejpam-5665	17	3	appl	appl	PROPN
ejpam-5665	17	4	.	.	PROPN
ejpam-5665	17	5	math	math	PROPN
ejpam-5665	17	6	,	,	PUNCT
ejpam-5665	17	7	18	18	NUM
ejpam-5665	17	8	(	(	PUNCT
ejpam-5665	17	9	1	1	NUM
ejpam-5665	17	10	)	)	PUNCT
ejpam-5665	17	11	(	(	PUNCT
ejpam-5665	17	12	2025	2025	NUM
ejpam-5665	17	13	)	)	PUNCT
ejpam-5665	17	14	,	,	PUNCT
ejpam-5665	17	15	5665	5665	NUM
ejpam-5665	17	16	2	2	NUM
ejpam-5665	17	17	of	of	ADP
ejpam-5665	17	18	14	14	NUM
ejpam-5665	17	19	the	the	DET
ejpam-5665	17	20	study	study	NOUN
ejpam-5665	17	21	of	of	ADP
ejpam-5665	17	22	the	the	DET
ejpam-5665	17	23	qzke	qzke	NOUN
ejpam-5665	17	24	is	be	AUX
ejpam-5665	17	25	important	important	ADJ
ejpam-5665	17	26	in	in	ADP
ejpam-5665	17	27	various	various	ADJ
ejpam-5665	17	28	fields	field	NOUN
ejpam-5665	17	29	,	,	PUNCT
ejpam-5665	17	30	such	such	ADJ
ejpam-5665	17	31	as	as	ADP
ejpam-5665	17	32	astrophysics	astrophysic	NOUN
ejpam-5665	17	33	,	,	PUNCT
ejpam-5665	17	34	laboratory	laboratory	NOUN
ejpam-5665	17	35	plasma	plasma	NOUN
ejpam-5665	17	36	experiments	experiment	NOUN
ejpam-5665	17	37	,	,	PUNCT
ejpam-5665	17	38	and	and	CCONJ
ejpam-5665	17	39	quantum	quantum	NOUN
ejpam-5665	17	40	device	device	NOUN
ejpam-5665	17	41	applications	application	NOUN
ejpam-5665	17	42	.	.	PUNCT
ejpam-5665	18	1	understanding	understand	VERB
ejpam-5665	18	2	the	the	DET
ejpam-5665	18	3	behavior	behavior	NOUN
ejpam-5665	18	4	of	of	ADP
ejpam-5665	18	5	quantum	quantum	ADJ
ejpam-5665	18	6	plasmas	plasma	NOUN
ejpam-5665	18	7	is	be	AUX
ejpam-5665	18	8	crucial	crucial	ADJ
ejpam-5665	18	9	in	in	ADP
ejpam-5665	18	10	astrophysical	astrophysical	ADJ
ejpam-5665	18	11	phenomena	phenomenon	NOUN
ejpam-5665	18	12	like	like	ADP
ejpam-5665	18	13	the	the	DET
ejpam-5665	18	14	dynamics	dynamic	NOUN
ejpam-5665	18	15	of	of	ADP
ejpam-5665	18	16	astrophysical	astrophysical	ADJ
ejpam-5665	18	17	jets	jet	NOUN
ejpam-5665	18	18	and	and	CCONJ
ejpam-5665	18	19	the	the	DET
ejpam-5665	18	20	behavior	behavior	NOUN
ejpam-5665	18	21	of	of	ADP
ejpam-5665	18	22	compact	compact	ADJ
ejpam-5665	18	23	objects	object	NOUN
ejpam-5665	18	24	such	such	ADJ
ejpam-5665	18	25	as	as	ADP
ejpam-5665	18	26	neutron	neutron	NOUN
ejpam-5665	18	27	stars	star	NOUN
ejpam-5665	18	28	.	.	PUNCT
ejpam-5665	19	1	in	in	ADP
ejpam-5665	19	2	addition	addition	NOUN
ejpam-5665	19	3	,	,	PUNCT
ejpam-5665	19	4	laboratory	laboratory	NOUN
ejpam-5665	19	5	experiments	experiment	NOUN
ejpam-5665	19	6	that	that	PRON
ejpam-5665	19	7	aim	aim	VERB
ejpam-5665	19	8	to	to	PART
ejpam-5665	19	9	simulate	simulate	VERB
ejpam-5665	19	10	quantum	quantum	ADJ
ejpam-5665	19	11	plasma	plasma	NOUN
ejpam-5665	19	12	behavior	behavior	NOUN
ejpam-5665	19	13	can	can	AUX
ejpam-5665	19	14	benefit	benefit	VERB
ejpam-5665	19	15	from	from	ADP
ejpam-5665	19	16	the	the	DET
ejpam-5665	19	17	insights	insight	NOUN
ejpam-5665	19	18	provided	provide	VERB
ejpam-5665	19	19	by	by	ADP
ejpam-5665	19	20	the	the	DET
ejpam-5665	19	21	equation	equation	NOUN
ejpam-5665	19	22	.	.	PUNCT
ejpam-5665	20	1	on	on	ADP
ejpam-5665	20	2	the	the	DET
ejpam-5665	20	3	other	other	ADJ
ejpam-5665	20	4	side	side	NOUN
ejpam-5665	20	5	,	,	PUNCT
ejpam-5665	20	6	random	random	ADJ
ejpam-5665	20	7	fluctuations	fluctuation	NOUN
ejpam-5665	20	8	in	in	ADP
ejpam-5665	20	9	the	the	DET
ejpam-5665	20	10	qzke	qzke	NOUN
ejpam-5665	20	11	arise	arise	VERB
ejpam-5665	20	12	due	due	ADP
ejpam-5665	20	13	to	to	ADP
ejpam-5665	20	14	the	the	DET
ejpam-5665	20	15	inherent	inherent	ADJ
ejpam-5665	20	16	quantum	quantum	ADJ
ejpam-5665	20	17	nature	nature	NOUN
ejpam-5665	20	18	of	of	ADP
ejpam-5665	20	19	the	the	DET
ejpam-5665	20	20	plasma	plasma	NOUN
ejpam-5665	20	21	.	.	PUNCT
ejpam-5665	21	1	in	in	ADP
ejpam-5665	21	2	classical	classical	ADJ
ejpam-5665	21	3	physics	physic	NOUN
ejpam-5665	21	4	,	,	PUNCT
ejpam-5665	21	5	fluctuations	fluctuation	NOUN
ejpam-5665	21	6	are	be	AUX
ejpam-5665	21	7	often	often	ADV
ejpam-5665	21	8	considered	consider	VERB
ejpam-5665	21	9	as	as	ADP
ejpam-5665	21	10	random	random	ADJ
ejpam-5665	21	11	noise	noise	NOUN
ejpam-5665	21	12	that	that	PRON
ejpam-5665	21	13	does	do	AUX
ejpam-5665	21	14	not	not	PART
ejpam-5665	21	15	contribute	contribute	VERB
ejpam-5665	21	16	significantly	significantly	ADV
ejpam-5665	21	17	to	to	ADP
ejpam-5665	21	18	the	the	DET
ejpam-5665	21	19	dynamics	dynamic	NOUN
ejpam-5665	21	20	of	of	ADP
ejpam-5665	21	21	the	the	DET
ejpam-5665	21	22	system	system	NOUN
ejpam-5665	21	23	.	.	PUNCT
ejpam-5665	22	1	however	however	ADV
ejpam-5665	22	2	,	,	PUNCT
ejpam-5665	22	3	in	in	ADP
ejpam-5665	22	4	the	the	DET
ejpam-5665	22	5	quantum	quantum	NOUN
ejpam-5665	22	6	regime	regime	NOUN
ejpam-5665	22	7	,	,	PUNCT
ejpam-5665	22	8	these	these	DET
ejpam-5665	22	9	fluctuations	fluctuation	NOUN
ejpam-5665	22	10	become	become	VERB
ejpam-5665	22	11	significant	significant	ADJ
ejpam-5665	22	12	as	as	SCONJ
ejpam-5665	22	13	they	they	PRON
ejpam-5665	22	14	are	be	AUX
ejpam-5665	22	15	associated	associate	VERB
ejpam-5665	22	16	with	with	ADP
ejpam-5665	22	17	the	the	DET
ejpam-5665	22	18	intrinsic	intrinsic	ADJ
ejpam-5665	22	19	uncertainty	uncertainty	NOUN
ejpam-5665	22	20	of	of	ADP
ejpam-5665	22	21	the	the	DET
ejpam-5665	22	22	quantum	quantum	ADJ
ejpam-5665	22	23	state	state	NOUN
ejpam-5665	22	24	.	.	PUNCT
ejpam-5665	23	1	these	these	DET
ejpam-5665	23	2	random	random	ADJ
ejpam-5665	23	3	fluctuations	fluctuation	NOUN
ejpam-5665	23	4	can	can	AUX
ejpam-5665	23	5	affect	affect	VERB
ejpam-5665	23	6	the	the	DET
ejpam-5665	23	7	wave	wave	NOUN
ejpam-5665	23	8	propagation	propagation	NOUN
ejpam-5665	23	9	and	and	CCONJ
ejpam-5665	23	10	dynamics	dynamic	NOUN
ejpam-5665	23	11	of	of	ADP
ejpam-5665	23	12	the	the	DET
ejpam-5665	23	13	plasma	plasma	NOUN
ejpam-5665	23	14	,	,	PUNCT
ejpam-5665	23	15	leading	lead	VERB
ejpam-5665	23	16	to	to	ADP
ejpam-5665	23	17	fluctuations	fluctuation	NOUN
ejpam-5665	23	18	in	in	ADP
ejpam-5665	23	19	the	the	DET
ejpam-5665	23	20	plasma	plasma	NOUN
ejpam-5665	23	21	density	density	NOUN
ejpam-5665	23	22	,	,	PUNCT
ejpam-5665	23	23	velocity	velocity	NOUN
ejpam-5665	23	24	,	,	PUNCT
ejpam-5665	23	25	and	and	CCONJ
ejpam-5665	23	26	electromagnetic	electromagnetic	ADJ
ejpam-5665	23	27	fields	field	NOUN
ejpam-5665	23	28	.	.	PUNCT
ejpam-5665	24	1	understanding	understanding	NOUN
ejpam-5665	24	2	and	and	CCONJ
ejpam-5665	24	3	characterizing	characterize	VERB
ejpam-5665	24	4	random	random	ADJ
ejpam-5665	24	5	fluctuations	fluctuation	NOUN
ejpam-5665	24	6	in	in	ADP
ejpam-5665	24	7	the	the	DET
ejpam-5665	24	8	qzke	qzke	NOUN
ejpam-5665	24	9	is	be	AUX
ejpam-5665	24	10	essential	essential	ADJ
ejpam-5665	24	11	for	for	ADP
ejpam-5665	24	12	various	various	ADJ
ejpam-5665	24	13	applications	application	NOUN
ejpam-5665	24	14	.	.	PUNCT
ejpam-5665	25	1	for	for	ADP
ejpam-5665	25	2	instance	instance	NOUN
ejpam-5665	25	3	,	,	PUNCT
ejpam-5665	25	4	in	in	ADP
ejpam-5665	25	5	plasma	plasma	NOUN
ejpam-5665	25	6	physics	physics	NOUN
ejpam-5665	25	7	,	,	PUNCT
ejpam-5665	25	8	studying	study	VERB
ejpam-5665	25	9	the	the	DET
ejpam-5665	25	10	behavior	behavior	NOUN
ejpam-5665	25	11	of	of	ADP
ejpam-5665	25	12	random	random	ADJ
ejpam-5665	25	13	fluctuations	fluctuation	NOUN
ejpam-5665	25	14	can	can	AUX
ejpam-5665	25	15	give	give	VERB
ejpam-5665	25	16	insights	insight	NOUN
ejpam-5665	25	17	into	into	ADP
ejpam-5665	25	18	the	the	DET
ejpam-5665	25	19	stability	stability	NOUN
ejpam-5665	25	20	and	and	CCONJ
ejpam-5665	25	21	turbulence	turbulence	NOUN
ejpam-5665	25	22	of	of	ADP
ejpam-5665	25	23	the	the	DET
ejpam-5665	25	24	plasma	plasma	NOUN
ejpam-5665	25	25	.	.	PUNCT
ejpam-5665	26	1	these	these	DET
ejpam-5665	26	2	fluctuations	fluctuation	NOUN
ejpam-5665	26	3	can	can	AUX
ejpam-5665	26	4	also	also	ADV
ejpam-5665	26	5	affect	affect	VERB
ejpam-5665	26	6	the	the	DET
ejpam-5665	26	7	transport	transport	NOUN
ejpam-5665	26	8	of	of	ADP
ejpam-5665	26	9	energy	energy	NOUN
ejpam-5665	26	10	and	and	CCONJ
ejpam-5665	26	11	momentum	momentum	NOUN
ejpam-5665	26	12	in	in	ADP
ejpam-5665	26	13	the	the	DET
ejpam-5665	26	14	plasma	plasma	NOUN
ejpam-5665	26	15	,	,	PUNCT
ejpam-5665	26	16	influencing	influence	VERB
ejpam-5665	26	17	various	various	ADJ
ejpam-5665	26	18	physical	physical	ADJ
ejpam-5665	26	19	phenomena	phenomenon	NOUN
ejpam-5665	26	20	such	such	ADJ
ejpam-5665	26	21	as	as	ADP
ejpam-5665	26	22	wave	wave	NOUN
ejpam-5665	26	23	-	-	PUNCT
ejpam-5665	26	24	particle	particle	NOUN
ejpam-5665	26	25	interactions	interaction	NOUN
ejpam-5665	26	26	,	,	PUNCT
ejpam-5665	26	27	particle	particle	NOUN
ejpam-5665	26	28	acceleration	acceleration	NOUN
ejpam-5665	26	29	,	,	PUNCT
ejpam-5665	26	30	and	and	CCONJ
ejpam-5665	26	31	plasma	plasma	NOUN
ejpam-5665	26	32	heating	heating	NOUN
ejpam-5665	26	33	.	.	PUNCT
ejpam-5665	27	1	in	in	ADP
ejpam-5665	27	2	this	this	DET
ejpam-5665	27	3	study	study	NOUN
ejpam-5665	27	4	,	,	PUNCT
ejpam-5665	27	5	we	we	PRON
ejpam-5665	27	6	consider	consider	VERB
ejpam-5665	27	7	the	the	DET
ejpam-5665	27	8	following	follow	VERB
ejpam-5665	27	9	stochastic	stochastic	ADJ
ejpam-5665	27	10	quantum	quantum	ADJ
ejpam-5665	27	11	zakharov	zakharov	ADJ
ejpam-5665	27	12	-	-	PUNCT
ejpam-5665	27	13	kuznetsov	kuznetsov	NOUN
ejpam-5665	27	14	equation	equation	NOUN
ejpam-5665	27	15	(	(	PUNCT
ejpam-5665	27	16	sqzke	sqzke	NOUN
ejpam-5665	27	17	)	)	PUNCT
ejpam-5665	27	18	forced	force	VERB
ejpam-5665	27	19	by	by	ADP
ejpam-5665	27	20	multiplicative	multiplicative	ADJ
ejpam-5665	27	21	noise	noise	NOUN
ejpam-5665	27	22	as	as	SCONJ
ejpam-5665	27	23	follows	follow	VERB
ejpam-5665	27	24	:	:	PUNCT
ejpam-5665	27	25	gt	gt	PROPN
ejpam-5665	27	26	+	+	NUM
ejpam-5665	27	27	aggx	aggx	NOUN
ejpam-5665	27	28	+	+	CCONJ
ejpam-5665	27	29	bgzzz	bgzzz	NOUN
ejpam-5665	27	30	+	+	CCONJ
ejpam-5665	27	31	cgzxx	cgzxx	NOUN
ejpam-5665	27	32	+	+	CCONJ
ejpam-5665	27	33	cgzyy	cgzyy	NOUN
ejpam-5665	27	34	=	=	SYM
ejpam-5665	27	35	δgbt	δgbt	NOUN
ejpam-5665	27	36	,	,	PUNCT
ejpam-5665	27	37	(	(	PUNCT
ejpam-5665	27	38	1	1	X
ejpam-5665	27	39	)	)	PUNCT
ejpam-5665	27	40	where	where	SCONJ
ejpam-5665	27	41	g(x	g(x	NOUN
ejpam-5665	27	42	,	,	PUNCT
ejpam-5665	27	43	y	y	PROPN
ejpam-5665	27	44	,	,	PUNCT
ejpam-5665	27	45	z	z	PROPN
ejpam-5665	27	46	,	,	PUNCT
ejpam-5665	27	47	t	t	PROPN
ejpam-5665	27	48	)	)	PUNCT
ejpam-5665	27	49	represents	represent	VERB
ejpam-5665	27	50	the	the	DET
ejpam-5665	27	51	electrostatic	electrostatic	ADJ
ejpam-5665	27	52	potential	potential	NOUN
ejpam-5665	27	53	,	,	PUNCT
ejpam-5665	27	54	b(t	b(t	NOUN
ejpam-5665	27	55	)	)	PUNCT
ejpam-5665	27	56	is	be	AUX
ejpam-5665	27	57	the	the	DET
ejpam-5665	27	58	brownian	brownian	ADJ
ejpam-5665	27	59	motion	motion	NOUN
ejpam-5665	27	60	,	,	PUNCT
ejpam-5665	27	61	bt	bt	NOUN
ejpam-5665	27	62	=	=	PROPN
ejpam-5665	27	63	∂b	∂b	PROPN
ejpam-5665	27	64	∂t	∂t	PROPN
ejpam-5665	27	65	and	and	CCONJ
ejpam-5665	27	66	δ	δ	PROPN
ejpam-5665	27	67	is	be	AUX
ejpam-5665	27	68	the	the	DET
ejpam-5665	27	69	noise	noise	NOUN
ejpam-5665	27	70	intensity	intensity	NOUN
ejpam-5665	27	71	.	.	PUNCT
ejpam-5665	28	1	various	various	ADJ
ejpam-5665	28	2	methods	method	NOUN
ejpam-5665	28	3	for	for	ADP
ejpam-5665	28	4	getting	get	VERB
ejpam-5665	28	5	the	the	DET
ejpam-5665	28	6	exact	exact	ADJ
ejpam-5665	28	7	solutions	solution	NOUN
ejpam-5665	28	8	for	for	ADP
ejpam-5665	28	9	the	the	DET
ejpam-5665	28	10	qzke	qzke	NOUN
ejpam-5665	28	11	(	(	PUNCT
ejpam-5665	28	12	1	1	NUM
ejpam-5665	28	13	)	)	PUNCT
ejpam-5665	28	14	with	with	ADP
ejpam-5665	28	15	δ	δ	PROPN
ejpam-5665	28	16	=	=	SYM
ejpam-5665	28	17	0	0	PROPN
ejpam-5665	28	18	for	for	ADP
ejpam-5665	28	19	instance	instance	NOUN
ejpam-5665	28	20	extended	extend	VERB
ejpam-5665	28	21	f	f	NUM
ejpam-5665	28	22	-	-	PUNCT
ejpam-5665	28	23	expansion	expansion	NOUN
ejpam-5665	28	24	method	method	NOUN
ejpam-5665	28	25	[	[	X
ejpam-5665	28	26	5	5	NUM
ejpam-5665	28	27	]	]	PUNCT
ejpam-5665	28	28	,	,	PUNCT
ejpam-5665	28	29	generalized	generalize	VERB
ejpam-5665	28	30	unified	unified	ADJ
ejpam-5665	28	31	method	method	NOUN
ejpam-5665	28	32	[	[	X
ejpam-5665	28	33	10	10	NUM
ejpam-5665	28	34	]	]	PUNCT
ejpam-5665	28	35	,	,	PUNCT
ejpam-5665	28	36	exp	exp	NOUN
ejpam-5665	28	37	-	-	PUNCT
ejpam-5665	28	38	function	function	NOUN
ejpam-5665	28	39	and	and	CCONJ
ejpam-5665	28	40	modified	modify	VERB
ejpam-5665	28	41	f	f	X
ejpam-5665	28	42	-	-	PUNCT
ejpam-5665	28	43	expansion	expansion	NOUN
ejpam-5665	28	44	methods	method	NOUN
ejpam-5665	28	45	[	[	X
ejpam-5665	28	46	6	6	NUM
ejpam-5665	28	47	]	]	PUNCT
ejpam-5665	28	48	,	,	PUNCT
ejpam-5665	28	49	hirota	hirota	PROPN
ejpam-5665	28	50	bilinear	bilinear	PROPN
ejpam-5665	28	51	and	and	CCONJ
ejpam-5665	28	52	auxiliary	auxiliary	ADJ
ejpam-5665	28	53	equation	equation	NOUN
ejpam-5665	28	54	[	[	X
ejpam-5665	28	55	15	15	NUM
ejpam-5665	28	56	]	]	PUNCT
ejpam-5665	28	57	,	,	PUNCT
ejpam-5665	28	58	generalized	generalize	VERB
ejpam-5665	28	59	(	(	PUNCT
ejpam-5665	28	60	g′/g)-expansion	g′/g)-expansion	PROPN
ejpam-5665	28	61	and	and	CCONJ
ejpam-5665	28	62	jacobi	jacobi	PROPN
ejpam-5665	28	63	elliptic	elliptic	ADJ
ejpam-5665	28	64	equation	equation	NOUN
ejpam-5665	28	65	[	[	X
ejpam-5665	28	66	14	14	NUM
ejpam-5665	28	67	,	,	PUNCT
ejpam-5665	28	68	16	16	NUM
ejpam-5665	28	69	]	]	PUNCT
ejpam-5665	28	70	.	.	PUNCT
ejpam-5665	29	1	while	while	SCONJ
ejpam-5665	29	2	,	,	PUNCT
ejpam-5665	29	3	the	the	DET
ejpam-5665	29	4	exact	exact	ADJ
ejpam-5665	29	5	solutions	solution	NOUN
ejpam-5665	29	6	of	of	ADP
ejpam-5665	29	7	eq	eq	PROPN
ejpam-5665	29	8	.	.	PUNCT
ejpam-5665	30	1	(	(	PUNCT
ejpam-5665	30	2	1	1	X
ejpam-5665	30	3	)	)	PUNCT
ejpam-5665	30	4	with	with	ADP
ejpam-5665	30	5	stochastic	stochastic	ADJ
ejpam-5665	30	6	term	term	NOUN
ejpam-5665	30	7	has	have	AUX
ejpam-5665	30	8	obtained	obtain	VERB
ejpam-5665	30	9	in	in	ADP
ejpam-5665	30	10	[	[	X
ejpam-5665	30	11	9	9	NUM
ejpam-5665	30	12	]	]	PUNCT
ejpam-5665	30	13	by	by	ADP
ejpam-5665	30	14	utilizing	utilize	VERB
ejpam-5665	30	15	modified	modify	VERB
ejpam-5665	30	16	f	f	NOUN
ejpam-5665	30	17	-	-	PUNCT
ejpam-5665	30	18	expansion	expansion	NOUN
ejpam-5665	30	19	and	and	CCONJ
ejpam-5665	30	20	jacobi	jacobi	PROPN
ejpam-5665	30	21	elliptic	elliptic	ADJ
ejpam-5665	30	22	function	function	NOUN
ejpam-5665	30	23	methods	method	NOUN
ejpam-5665	30	24	.	.	PUNCT
ejpam-5665	31	1	moreover	moreover	ADV
ejpam-5665	31	2	,	,	PUNCT
ejpam-5665	31	3	there	there	PRON
ejpam-5665	31	4	are	be	VERB
ejpam-5665	31	5	many	many	ADJ
ejpam-5665	31	6	different	different	ADJ
ejpam-5665	31	7	analytical	analytical	ADJ
ejpam-5665	31	8	and	and	CCONJ
ejpam-5665	31	9	numerical	numerical	ADJ
ejpam-5665	31	10	methods	method	NOUN
ejpam-5665	31	11	for	for	ADP
ejpam-5665	31	12	solving	solve	VERB
ejpam-5665	31	13	various	various	ADJ
ejpam-5665	31	14	partial	partial	ADJ
ejpam-5665	31	15	differential	differential	NOUN
ejpam-5665	31	16	equations	equation	NOUN
ejpam-5665	31	17	for	for	ADP
ejpam-5665	31	18	example	example	NOUN
ejpam-5665	31	19	meshless	meshless	ADJ
ejpam-5665	31	20	method	method	NOUN
ejpam-5665	31	21	[	[	X
ejpam-5665	31	22	1	1	NUM
ejpam-5665	31	23	,	,	PUNCT
ejpam-5665	31	24	12	12	NUM
ejpam-5665	31	25	]	]	PUNCT
ejpam-5665	31	26	,	,	PUNCT
ejpam-5665	31	27	jacobi	jacobi	PROPN
ejpam-5665	31	28	elliptic	elliptic	ADJ
ejpam-5665	31	29	function	function	NOUN
ejpam-5665	31	30	method	method	NOUN
ejpam-5665	31	31	[	[	X
ejpam-5665	31	32	2	2	NUM
ejpam-5665	31	33	]	]	PUNCT
ejpam-5665	31	34	,	,	PUNCT
ejpam-5665	31	35	perturbation	perturbation	NOUN
ejpam-5665	31	36	method	method	NOUN
ejpam-5665	31	37	[	[	X
ejpam-5665	31	38	8	8	NUM
ejpam-5665	31	39	]	]	PUNCT
ejpam-5665	31	40	,	,	PUNCT
ejpam-5665	31	41	mapping	mapping	NOUN
ejpam-5665	31	42	method	method	NOUN
ejpam-5665	31	43	[	[	X
ejpam-5665	31	44	4	4	NUM
ejpam-5665	31	45	]	]	PUNCT
ejpam-5665	31	46	,	,	PUNCT
ejpam-5665	31	47	(	(	PUNCT
ejpam-5665	31	48	g′/g)-expansion	g′/g)-expansion	NOUN
ejpam-5665	32	1	[	[	X
ejpam-5665	32	2	3	3	NUM
ejpam-5665	32	3	]	]	PUNCT
ejpam-5665	32	4	,	,	PUNCT
ejpam-5665	32	5	and	and	CCONJ
ejpam-5665	32	6	so	so	ADV
ejpam-5665	32	7	on	on	ADV
ejpam-5665	32	8	.	.	PUNCT
ejpam-5665	33	1	the	the	DET
ejpam-5665	33	2	main	main	ADJ
ejpam-5665	33	3	aim	aim	NOUN
ejpam-5665	33	4	of	of	ADP
ejpam-5665	33	5	this	this	DET
ejpam-5665	33	6	research	research	NOUN
ejpam-5665	33	7	is	be	AUX
ejpam-5665	33	8	to	to	PART
ejpam-5665	33	9	discover	discover	VERB
ejpam-5665	33	10	the	the	DET
ejpam-5665	33	11	exact	exact	ADJ
ejpam-5665	33	12	stochastic	stochastic	ADJ
ejpam-5665	33	13	solutions	solution	NOUN
ejpam-5665	33	14	to	to	ADP
ejpam-5665	33	15	the	the	DET
ejpam-5665	33	16	sqzke	sqzke	NOUN
ejpam-5665	33	17	(	(	PUNCT
ejpam-5665	33	18	1	1	NUM
ejpam-5665	33	19	)	)	PUNCT
ejpam-5665	33	20	.	.	PUNCT
ejpam-5665	34	1	to	to	PART
ejpam-5665	34	2	do	do	VERB
ejpam-5665	34	3	this	this	PRON
ejpam-5665	34	4	,	,	PUNCT
ejpam-5665	34	5	we	we	PRON
ejpam-5665	34	6	apply	apply	VERB
ejpam-5665	34	7	a	a	DET
ejpam-5665	34	8	suitable	suitable	ADJ
ejpam-5665	34	9	transformation	transformation	NOUN
ejpam-5665	34	10	to	to	PART
ejpam-5665	34	11	change	change	VERB
ejpam-5665	34	12	the	the	DET
ejpam-5665	34	13	sqzke	sqzke	NOUN
ejpam-5665	34	14	into	into	ADP
ejpam-5665	34	15	another	another	DET
ejpam-5665	34	16	qzke	qzke	NOUN
ejpam-5665	34	17	with	with	ADP
ejpam-5665	34	18	random	random	ADJ
ejpam-5665	34	19	variable	variable	ADJ
ejpam-5665	34	20	coefficients	coefficient	NOUN
ejpam-5665	34	21	(	(	PUNCT
ejpam-5665	34	22	qzke	qzke	NOUN
ejpam-5665	34	23	-	-	PUNCT
ejpam-5665	34	24	rvcs	rvcs	NOUN
ejpam-5665	34	25	)	)	PUNCT
ejpam-5665	34	26	.	.	PUNCT
ejpam-5665	35	1	following	follow	VERB
ejpam-5665	35	2	that	that	PRON
ejpam-5665	35	3	,	,	PUNCT
ejpam-5665	35	4	we	we	PRON
ejpam-5665	35	5	get	get	VERB
ejpam-5665	35	6	accurate	accurate	ADJ
ejpam-5665	35	7	solutions	solution	NOUN
ejpam-5665	35	8	for	for	ADP
ejpam-5665	35	9	qzke	qzke	NOUN
ejpam-5665	35	10	-	-	PUNCT
ejpam-5665	35	11	rvcs	rvcs	PROPN
ejpam-5665	35	12	using	use	VERB
ejpam-5665	35	13	the	the	DET
ejpam-5665	35	14	modified	modify	VERB
ejpam-5665	35	15	extended	extend	VERB
ejpam-5665	35	16	tanh	tanh	NOUN
ejpam-5665	35	17	function	function	NOUN
ejpam-5665	35	18	method	method	NOUN
ejpam-5665	35	19	(	(	PUNCT
ejpam-5665	35	20	metf	metf	NOUN
ejpam-5665	35	21	-	-	PUNCT
ejpam-5665	35	22	method	method	NOUN
ejpam-5665	35	23	)	)	PUNCT
ejpam-5665	35	24	and	and	CCONJ
ejpam-5665	35	25	the	the	DET
ejpam-5665	35	26	jacobi	jacobi	PROPN
ejpam-5665	35	27	elliptic	elliptic	ADJ
ejpam-5665	35	28	function	function	NOUN
ejpam-5665	35	29	method	method	NOUN
ejpam-5665	35	30	(	(	PUNCT
ejpam-5665	35	31	jef	jef	NOUN
ejpam-5665	35	32	-	-	PUNCT
ejpam-5665	35	33	method	method	NOUN
ejpam-5665	35	34	)	)	PUNCT
ejpam-5665	35	35	.	.	PUNCT
ejpam-5665	36	1	in	in	ADP
ejpam-5665	36	2	the	the	DET
ejpam-5665	36	3	end	end	NOUN
ejpam-5665	36	4	,	,	PUNCT
ejpam-5665	36	5	by	by	ADP
ejpam-5665	36	6	using	use	VERB
ejpam-5665	36	7	the	the	DET
ejpam-5665	36	8	transformation	transformation	NOUN
ejpam-5665	36	9	we	we	PRON
ejpam-5665	36	10	utilized	utilize	VERB
ejpam-5665	36	11	,	,	PUNCT
ejpam-5665	36	12	we	we	PRON
ejpam-5665	36	13	may	may	AUX
ejpam-5665	36	14	derive	derive	VERB
ejpam-5665	36	15	stochastic	stochastic	ADJ
ejpam-5665	36	16	solutions	solution	NOUN
ejpam-5665	36	17	to	to	ADP
ejpam-5665	36	18	the	the	DET
ejpam-5665	36	19	sqzke	sqzke	NOUN
ejpam-5665	36	20	.	.	PUNCT
ejpam-5665	37	1	as	as	ADV
ejpam-5665	37	2	far	far	ADV
ejpam-5665	37	3	as	as	SCONJ
ejpam-5665	37	4	we	we	PRON
ejpam-5665	37	5	know	know	VERB
ejpam-5665	37	6	,	,	PUNCT
ejpam-5665	37	7	this	this	PRON
ejpam-5665	37	8	is	be	AUX
ejpam-5665	37	9	the	the	DET
ejpam-5665	37	10	first	first	ADJ
ejpam-5665	37	11	time	time	NOUN
ejpam-5665	37	12	we	we	PRON
ejpam-5665	37	13	have	have	AUX
ejpam-5665	37	14	supposed	suppose	VERB
ejpam-5665	37	15	that	that	SCONJ
ejpam-5665	37	16	the	the	DET
ejpam-5665	37	17	wave	wave	NOUN
ejpam-5665	37	18	equation	equation	NOUN
ejpam-5665	37	19	’s	’s	PART
ejpam-5665	37	20	solution	solution	NOUN
ejpam-5665	37	21	is	be	AUX
ejpam-5665	37	22	stochastic	stochastic	ADJ
ejpam-5665	37	23	;	;	PUNCT
ejpam-5665	37	24	in	in	ADP
ejpam-5665	37	25	all	all	DET
ejpam-5665	37	26	other	other	ADJ
ejpam-5665	37	27	research	research	NOUN
ejpam-5665	37	28	such	such	ADJ
ejpam-5665	37	29	as	as	ADP
ejpam-5665	37	30	[	[	X
ejpam-5665	37	31	9	9	NUM
ejpam-5665	37	32	]	]	PUNCT
ejpam-5665	37	33	,	,	PUNCT
ejpam-5665	37	34	the	the	DET
ejpam-5665	37	35	solution	solution	NOUN
ejpam-5665	37	36	was	be	AUX
ejpam-5665	37	37	considered	consider	VERB
ejpam-5665	37	38	to	to	PART
ejpam-5665	37	39	be	be	AUX
ejpam-5665	37	40	deterministic	deterministic	ADJ
ejpam-5665	37	41	.	.	PUNCT
ejpam-5665	38	1	w.	w.	PROPN
ejpam-5665	38	2	w.	w.	PROPN
ejpam-5665	38	3	mohammed	mohammed	PROPN
ejpam-5665	38	4	et	et	PROPN
ejpam-5665	38	5	al	al	PROPN
ejpam-5665	38	6	.	.	PUNCT
ejpam-5665	38	7	/	/	SYM
ejpam-5665	38	8	eur	eur	PROPN
ejpam-5665	38	9	.	.	PUNCT
ejpam-5665	39	1	j.	j.	PROPN
ejpam-5665	39	2	pure	pure	PROPN
ejpam-5665	39	3	appl	appl	PROPN
ejpam-5665	39	4	.	.	PROPN
ejpam-5665	39	5	math	math	PROPN
ejpam-5665	39	6	,	,	PUNCT
ejpam-5665	39	7	18	18	NUM
ejpam-5665	39	8	(	(	PUNCT
ejpam-5665	39	9	1	1	NUM
ejpam-5665	39	10	)	)	PUNCT
ejpam-5665	39	11	(	(	PUNCT
ejpam-5665	39	12	2025	2025	NUM
ejpam-5665	39	13	)	)	PUNCT
ejpam-5665	39	14	,	,	PUNCT
ejpam-5665	39	15	5665	5665	NUM
ejpam-5665	39	16	3	3	NUM
ejpam-5665	39	17	of	of	ADP
ejpam-5665	39	18	14	14	NUM
ejpam-5665	39	19	these	these	PRON
ejpam-5665	39	20	obtained	obtain	VERB
ejpam-5665	39	21	solutions	solution	NOUN
ejpam-5665	39	22	are	be	AUX
ejpam-5665	39	23	essential	essential	ADJ
ejpam-5665	39	24	for	for	ADP
ejpam-5665	39	25	comprehending	comprehend	VERB
ejpam-5665	39	26	a	a	DET
ejpam-5665	39	27	number	number	NOUN
ejpam-5665	39	28	of	of	ADP
ejpam-5665	39	29	challenging	challenge	VERB
ejpam-5665	39	30	physical	physical	ADJ
ejpam-5665	39	31	phenomena	phenomenon	NOUN
ejpam-5665	39	32	because	because	SCONJ
ejpam-5665	39	33	the	the	DET
ejpam-5665	39	34	sqzke	sqzke	NOUN
ejpam-5665	39	35	(	(	PUNCT
ejpam-5665	39	36	1	1	NUM
ejpam-5665	39	37	)	)	PUNCT
ejpam-5665	39	38	is	be	AUX
ejpam-5665	39	39	so	so	ADV
ejpam-5665	39	40	important	important	ADJ
ejpam-5665	39	41	in	in	ADP
ejpam-5665	39	42	a	a	DET
ejpam-5665	39	43	dense	dense	ADJ
ejpam-5665	39	44	quantum	quantum	NOUN
ejpam-5665	39	45	magnetoplasma	magnetoplasma	NOUN
ejpam-5665	39	46	,	,	PUNCT
ejpam-5665	39	47	astrophysics	astrophysic	NOUN
ejpam-5665	39	48	,	,	PUNCT
ejpam-5665	39	49	laboratory	laboratory	NOUN
ejpam-5665	39	50	plasma	plasma	NOUN
ejpam-5665	39	51	experiments	experiment	NOUN
ejpam-5665	39	52	,	,	PUNCT
ejpam-5665	39	53	and	and	CCONJ
ejpam-5665	39	54	quantum	quantum	NOUN
ejpam-5665	39	55	device	device	NOUN
ejpam-5665	39	56	applications	application	NOUN
ejpam-5665	39	57	.	.	PUNCT
ejpam-5665	40	1	we	we	PRON
ejpam-5665	40	2	utilize	utilize	VERB
ejpam-5665	40	3	matlab	matlab	NOUN
ejpam-5665	40	4	tools	tool	NOUN
ejpam-5665	40	5	for	for	ADP
ejpam-5665	40	6	creating	create	VERB
ejpam-5665	40	7	some	some	DET
ejpam-5665	40	8	figures	figure	NOUN
ejpam-5665	40	9	that	that	PRON
ejpam-5665	40	10	illustrate	illustrate	VERB
ejpam-5665	40	11	the	the	DET
ejpam-5665	40	12	impact	impact	NOUN
ejpam-5665	40	13	of	of	ADP
ejpam-5665	40	14	the	the	DET
ejpam-5665	40	15	stochastic	stochastic	ADJ
ejpam-5665	40	16	term	term	NOUN
ejpam-5665	40	17	.	.	PUNCT
ejpam-5665	41	1	this	this	PRON
ejpam-5665	41	2	is	be	AUX
ejpam-5665	41	3	the	the	DET
ejpam-5665	41	4	format	format	NOUN
ejpam-5665	41	5	for	for	ADP
ejpam-5665	41	6	the	the	DET
ejpam-5665	41	7	rest	rest	NOUN
ejpam-5665	41	8	of	of	ADP
ejpam-5665	41	9	the	the	DET
ejpam-5665	41	10	paper	paper	NOUN
ejpam-5665	41	11	:	:	PUNCT
ejpam-5665	41	12	we	we	PRON
ejpam-5665	41	13	derive	derive	VERB
ejpam-5665	41	14	qzke	qzke	NOUN
ejpam-5665	41	15	-	-	PUNCT
ejpam-5665	41	16	rvcs	rvcs	PROPN
ejpam-5665	41	17	from	from	ADP
ejpam-5665	41	18	sqzke	sqzke	NOUN
ejpam-5665	41	19	(	(	PUNCT
ejpam-5665	41	20	1	1	NUM
ejpam-5665	41	21	)	)	PUNCT
ejpam-5665	41	22	in	in	ADP
ejpam-5665	41	23	section	section	NOUN
ejpam-5665	41	24	2	2	NUM
ejpam-5665	41	25	,	,	PUNCT
ejpam-5665	41	26	and	and	CCONJ
ejpam-5665	41	27	we	we	PRON
ejpam-5665	41	28	use	use	VERB
ejpam-5665	41	29	the	the	DET
ejpam-5665	41	30	jef	jef	PROPN
ejpam-5665	41	31	-	-	PUNCT
ejpam-5665	41	32	method	method	NOUN
ejpam-5665	41	33	and	and	CCONJ
ejpam-5665	41	34	metf	metf	NOUN
ejpam-5665	41	35	-	-	PUNCT
ejpam-5665	41	36	method	method	NOUN
ejpam-5665	41	37	to	to	PART
ejpam-5665	41	38	get	get	VERB
ejpam-5665	41	39	exact	exact	ADJ
ejpam-5665	41	40	solutions	solution	NOUN
ejpam-5665	41	41	of	of	ADP
ejpam-5665	41	42	qzke	qzke	NOUN
ejpam-5665	41	43	-	-	PUNCT
ejpam-5665	41	44	rvcs	rvcs	NOUN
ejpam-5665	41	45	.	.	PUNCT
ejpam-5665	42	1	we	we	PRON
ejpam-5665	42	2	obtain	obtain	VERB
ejpam-5665	42	3	the	the	DET
ejpam-5665	42	4	solutions	solution	NOUN
ejpam-5665	42	5	to	to	ADP
ejpam-5665	42	6	sqzke	sqzke	NOUN
ejpam-5665	42	7	(	(	PUNCT
ejpam-5665	42	8	1	1	NUM
ejpam-5665	42	9	)	)	PUNCT
ejpam-5665	42	10	in	in	ADP
ejpam-5665	42	11	section	section	NOUN
ejpam-5665	42	12	3	3	NUM
ejpam-5665	42	13	.	.	PUNCT
ejpam-5665	43	1	a	a	DET
ejpam-5665	43	2	discussion	discussion	NOUN
ejpam-5665	43	3	of	of	ADP
ejpam-5665	43	4	our	our	PRON
ejpam-5665	43	5	results	result	NOUN
ejpam-5665	43	6	is	be	AUX
ejpam-5665	43	7	provided	provide	VERB
ejpam-5665	43	8	in	in	ADP
ejpam-5665	43	9	section	section	NOUN
ejpam-5665	43	10	4	4	NUM
ejpam-5665	43	11	.	.	PUNCT
ejpam-5665	44	1	lastly	lastly	ADV
ejpam-5665	44	2	,	,	PUNCT
ejpam-5665	44	3	we	we	PRON
ejpam-5665	44	4	provide	provide	VERB
ejpam-5665	44	5	the	the	DET
ejpam-5665	44	6	conclusions	conclusion	NOUN
ejpam-5665	44	7	of	of	ADP
ejpam-5665	44	8	the	the	DET
ejpam-5665	44	9	article	article	NOUN
ejpam-5665	44	10	.	.	PUNCT
ejpam-5665	45	1	2	2	X
ejpam-5665	45	2	.	.	X
ejpam-5665	45	3	qzke	qzke	NOUN
ejpam-5665	45	4	-	-	PUNCT
ejpam-5665	45	5	rvcs	rvcs	PROPN
ejpam-5665	45	6	and	and	CCONJ
ejpam-5665	45	7	its	its	PRON
ejpam-5665	45	8	solutions	solution	NOUN
ejpam-5665	45	9	in	in	ADP
ejpam-5665	45	10	this	this	DET
ejpam-5665	45	11	section	section	NOUN
ejpam-5665	45	12	,	,	PUNCT
ejpam-5665	45	13	we	we	PRON
ejpam-5665	45	14	derive	derive	VERB
ejpam-5665	45	15	the	the	DET
ejpam-5665	45	16	qzke	qzke	NOUN
ejpam-5665	45	17	-	-	PUNCT
ejpam-5665	45	18	rvcs	rvcs	NOUN
ejpam-5665	45	19	.	.	PUNCT
ejpam-5665	46	1	to	to	PART
ejpam-5665	46	2	do	do	VERB
ejpam-5665	46	3	this	this	PRON
ejpam-5665	46	4	,	,	PUNCT
ejpam-5665	46	5	we	we	PRON
ejpam-5665	46	6	use	use	VERB
ejpam-5665	46	7	the	the	DET
ejpam-5665	46	8	following	follow	VERB
ejpam-5665	46	9	transformation	transformation	NOUN
ejpam-5665	46	10	g(x	g(x	PROPN
ejpam-5665	46	11	,	,	PUNCT
ejpam-5665	46	12	y	y	PROPN
ejpam-5665	46	13	,	,	PUNCT
ejpam-5665	46	14	z	z	PROPN
ejpam-5665	46	15	,	,	PUNCT
ejpam-5665	46	16	t	t	PROPN
ejpam-5665	46	17	)	)	PUNCT
ejpam-5665	47	1	=	=	SYM
ejpam-5665	47	2	u(x	u(x	PROPN
ejpam-5665	47	3	,	,	PUNCT
ejpam-5665	47	4	y	y	PROPN
ejpam-5665	47	5	,	,	PUNCT
ejpam-5665	47	6	z	z	PROPN
ejpam-5665	47	7	,	,	PUNCT
ejpam-5665	47	8	t)eδb(t	t)eδb(t	NUM
ejpam-5665	47	9	)	)	PUNCT
ejpam-5665	47	10	,	,	PUNCT
ejpam-5665	47	11	(	(	PUNCT
ejpam-5665	47	12	2	2	X
ejpam-5665	47	13	)	)	PUNCT
ejpam-5665	47	14	to	to	PART
ejpam-5665	47	15	get	get	VERB
ejpam-5665	47	16	qzke	qzke	NOUN
ejpam-5665	47	17	-	-	PUNCT
ejpam-5665	47	18	rvcs	rvcs	PROPN
ejpam-5665	47	19	as	as	SCONJ
ejpam-5665	47	20	follows	follow	VERB
ejpam-5665	47	21	ut	ut	PROPN
ejpam-5665	47	22	+	+	CCONJ
ejpam-5665	47	23	buzzz	buzzz	VERB
ejpam-5665	47	24	+	+	CCONJ
ejpam-5665	47	25	cuzxx	cuzxx	NOUN
ejpam-5665	47	26	+	+	CCONJ
ejpam-5665	47	27	cuzyy	cuzyy	ADJ
ejpam-5665	47	28	+	+	NOUN
ejpam-5665	47	29	a(t)uux	a(t)uux	NOUN
ejpam-5665	47	30	+	+	CCONJ
ejpam-5665	47	31	1	1	NUM
ejpam-5665	47	32	2	2	NUM
ejpam-5665	47	33	δ2u	δ2u	NOUN
ejpam-5665	47	34	=	=	SYM
ejpam-5665	47	35	0	0	NUM
ejpam-5665	47	36	,	,	PUNCT
ejpam-5665	47	37	(	(	PUNCT
ejpam-5665	47	38	3	3	X
ejpam-5665	47	39	)	)	PUNCT
ejpam-5665	47	40	where	where	SCONJ
ejpam-5665	47	41	we	we	PRON
ejpam-5665	47	42	used	use	VERB
ejpam-5665	47	43	the	the	DET
ejpam-5665	47	44	the	the	DET
ejpam-5665	47	45	itô	itô	PROPN
ejpam-5665	47	46	derivatives	derivative	NOUN
ejpam-5665	47	47	rule	rule	NOUN
ejpam-5665	47	48	,	,	PUNCT
ejpam-5665	47	49	u	u	NOUN
ejpam-5665	47	50	is	be	AUX
ejpam-5665	47	51	a	a	DET
ejpam-5665	47	52	stochastic	stochastic	ADJ
ejpam-5665	47	53	real	real	ADJ
ejpam-5665	47	54	function	function	NOUN
ejpam-5665	47	55	anda(t	anda(t	NOUN
ejpam-5665	47	56	)	)	PUNCT
ejpam-5665	47	57	=	=	SYM
ejpam-5665	47	58	aeδb(t	aeδb(t	NOUN
ejpam-5665	47	59	)	)	PUNCT
ejpam-5665	47	60	.	.	PUNCT
ejpam-5665	48	1	2.1	2.1	NUM
ejpam-5665	48	2	.	.	PUNCT
ejpam-5665	48	3	metf	metf	NOUN
ejpam-5665	48	4	-	-	PUNCT
ejpam-5665	48	5	method	method	NOUN
ejpam-5665	48	6	to	to	PART
ejpam-5665	48	7	acquire	acquire	VERB
ejpam-5665	48	8	the	the	DET
ejpam-5665	48	9	solutions	solution	NOUN
ejpam-5665	48	10	of	of	ADP
ejpam-5665	48	11	the	the	DET
ejpam-5665	48	12	qzke	qzke	NOUN
ejpam-5665	48	13	-	-	PUNCT
ejpam-5665	48	14	rvcs	rvcs	PROPN
ejpam-5665	48	15	,	,	PUNCT
ejpam-5665	48	16	we	we	PRON
ejpam-5665	48	17	use	use	VERB
ejpam-5665	48	18	the	the	DET
ejpam-5665	48	19	modified	modify	VERB
ejpam-5665	48	20	extended	extend	VERB
ejpam-5665	48	21	tanh	tanh	NOUN
ejpam-5665	48	22	function	function	NOUN
ejpam-5665	48	23	method	method	NOUN
ejpam-5665	48	24	(	(	PUNCT
ejpam-5665	48	25	metf	metf	NOUN
ejpam-5665	48	26	-	-	PUNCT
ejpam-5665	48	27	method	method	NOUN
ejpam-5665	48	28	)	)	PUNCT
ejpam-5665	48	29	that	that	PRON
ejpam-5665	48	30	is	be	AUX
ejpam-5665	48	31	stated	state	VERB
ejpam-5665	48	32	in	in	ADP
ejpam-5665	48	33	[	[	X
ejpam-5665	48	34	13	13	NUM
ejpam-5665	48	35	]	]	PUNCT
ejpam-5665	48	36	.	.	PUNCT
ejpam-5665	49	1	first	first	ADV
ejpam-5665	49	2	,	,	PUNCT
ejpam-5665	49	3	let	let	VERB
ejpam-5665	49	4	us	we	PRON
ejpam-5665	49	5	assume	assume	VERB
ejpam-5665	49	6	the	the	DET
ejpam-5665	49	7	solutions	solution	NOUN
ejpam-5665	49	8	of	of	ADP
ejpam-5665	49	9	eq	eq	PROPN
ejpam-5665	49	10	.	.	PUNCT
ejpam-5665	50	1	(	(	PUNCT
ejpam-5665	50	2	3	3	X
ejpam-5665	50	3	)	)	PUNCT
ejpam-5665	50	4	has	have	VERB
ejpam-5665	50	5	the	the	DET
ejpam-5665	50	6	form	form	NOUN
ejpam-5665	50	7	u(x	u(x	NOUN
ejpam-5665	50	8	,	,	PUNCT
ejpam-5665	50	9	y	y	PROPN
ejpam-5665	50	10	,	,	PUNCT
ejpam-5665	50	11	z	z	PROPN
ejpam-5665	50	12	,	,	PUNCT
ejpam-5665	50	13	t	t	PROPN
ejpam-5665	50	14	)	)	PUNCT
ejpam-5665	50	15	=	=	PUNCT
ejpam-5665	50	16	m∑	m∑	PROPN
ejpam-5665	50	17	k=0	k=0	PROPN
ejpam-5665	50	18	αk(t)qk(ξ	αk(t)qk(ξ	NUM
ejpam-5665	50	19	)	)	PUNCT
ejpam-5665	50	20	,	,	PUNCT
ejpam-5665	51	1	ξ	ξ	X
ejpam-5665	51	2	=	=	SYM
ejpam-5665	51	3	kx+my	kx+my	X
ejpam-5665	51	4	+	+	X
ejpam-5665	51	5	nz	nz	PROPN
ejpam-5665	51	6	+	+	NUM
ejpam-5665	51	7	∫	∫	PROPN
ejpam-5665	51	8	t	t	PROPN
ejpam-5665	51	9	0	0	NUM
ejpam-5665	51	10	λ(s)ds	λ(s)ds	PROPN
ejpam-5665	51	11	,	,	PUNCT
ejpam-5665	51	12	(	(	PUNCT
ejpam-5665	51	13	4	4	X
ejpam-5665	51	14	)	)	PUNCT
ejpam-5665	51	15	where	where	SCONJ
ejpam-5665	51	16	q′	q′	NOUN
ejpam-5665	51	17	=	=	SYM
ejpam-5665	51	18	q2	q2	PROPN
ejpam-5665	51	19	+	+	CCONJ
ejpam-5665	52	1	p.	p.	NOUN
ejpam-5665	52	2	(	(	PUNCT
ejpam-5665	52	3	5	5	NUM
ejpam-5665	52	4	)	)	PUNCT
ejpam-5665	52	5	first	first	ADV
ejpam-5665	52	6	let	let	VERB
ejpam-5665	52	7	us	we	PRON
ejpam-5665	52	8	calculate	calculate	VERB
ejpam-5665	52	9	the	the	DET
ejpam-5665	52	10	parameter	parameter	NOUN
ejpam-5665	52	11	m	m	VERB
ejpam-5665	52	12	by	by	ADP
ejpam-5665	52	13	balancing	balance	VERB
ejpam-5665	52	14	uzzz	uzzz	NOUN
ejpam-5665	52	15	with	with	ADP
ejpam-5665	52	16	uux	uux	PROPN
ejpam-5665	52	17	as	as	SCONJ
ejpam-5665	52	18	follows	follow	VERB
ejpam-5665	52	19	m	m	VERB
ejpam-5665	52	20	=	=	ADJ
ejpam-5665	52	21	2	2	X
ejpam-5665	52	22	.	.	X
ejpam-5665	52	23	rewriting	rewrite	VERB
ejpam-5665	52	24	eq	eq	ADP
ejpam-5665	52	25	.	.	PUNCT
ejpam-5665	53	1	(	(	PUNCT
ejpam-5665	53	2	4	4	NUM
ejpam-5665	53	3	)	)	PUNCT
ejpam-5665	53	4	as	as	ADP
ejpam-5665	53	5	u(x	u(x	NOUN
ejpam-5665	53	6	,	,	PUNCT
ejpam-5665	53	7	y	y	PROPN
ejpam-5665	53	8	,	,	PUNCT
ejpam-5665	53	9	z	z	PROPN
ejpam-5665	53	10	,	,	PUNCT
ejpam-5665	53	11	t	t	PROPN
ejpam-5665	53	12	)	)	PUNCT
ejpam-5665	53	13	=	=	SYM
ejpam-5665	54	1	α0(t	α0(t	PROPN
ejpam-5665	54	2	)	)	PUNCT
ejpam-5665	55	1	+	+	NUM
ejpam-5665	55	2	α1(t)q(ξ	α1(t)q(ξ	NUM
ejpam-5665	55	3	)	)	PUNCT
ejpam-5665	56	1	+	+	CCONJ
ejpam-5665	56	2	α2(t)q2(ξ	α2(t)q2(ξ	NOUN
ejpam-5665	56	3	)	)	PUNCT
ejpam-5665	56	4	.	.	PUNCT
ejpam-5665	57	1	(	(	PUNCT
ejpam-5665	57	2	6	6	X
ejpam-5665	57	3	)	)	PUNCT
ejpam-5665	57	4	we	we	PRON
ejpam-5665	57	5	have	have	VERB
ejpam-5665	57	6	by	by	ADP
ejpam-5665	57	7	differentiating	differentiate	VERB
ejpam-5665	57	8	eq	eq	PROPN
ejpam-5665	57	9	.	.	PUNCT
ejpam-5665	58	1	(	(	PUNCT
ejpam-5665	58	2	6	6	NUM
ejpam-5665	58	3	)	)	PUNCT
ejpam-5665	58	4	with	with	ADP
ejpam-5665	58	5	regards	regard	NOUN
ejpam-5665	58	6	to	to	ADP
ejpam-5665	58	7	t	t	PROPN
ejpam-5665	58	8	,	,	PUNCT
ejpam-5665	58	9	x	x	PRON
ejpam-5665	58	10	,	,	PUNCT
ejpam-5665	58	11	y	y	PROPN
ejpam-5665	58	12	and	and	CCONJ
ejpam-5665	58	13	z	z	PROPN
ejpam-5665	58	14	:	:	PUNCT
ejpam-5665	58	15	ut	ut	PROPN
ejpam-5665	58	16	=	=	PUNCT
ejpam-5665	58	17	(	(	PUNCT
ejpam-5665	58	18	α̇0	α̇0	PROPN
ejpam-5665	58	19	+	+	CCONJ
ejpam-5665	58	20	pα1λ	pα1λ	PROPN
ejpam-5665	58	21	)	)	PUNCT
ejpam-5665	58	22	+	+	CCONJ
ejpam-5665	58	23	(	(	PUNCT
ejpam-5665	58	24	α̇1	α̇1	NOUN
ejpam-5665	58	25	+	+	NUM
ejpam-5665	58	26	2pλα2)q+	2pλα2)q+	NOUN
ejpam-5665	58	27	(	(	PUNCT
ejpam-5665	58	28	λα1	λα1	NOUN
ejpam-5665	58	29	+	+	NOUN
ejpam-5665	58	30	α̇2)q2	α̇2)q2	NOUN
ejpam-5665	58	31	+	+	CCONJ
ejpam-5665	58	32	2λα2q3	2λα2q3	NOUN
ejpam-5665	58	33	,	,	PUNCT
ejpam-5665	58	34	ux	ux	NOUN
ejpam-5665	58	35	=	=	PUNCT
ejpam-5665	58	36	k[2α2q3	k[2α2q3	NOUN
ejpam-5665	59	1	+	+	CCONJ
ejpam-5665	59	2	α1q2	α1q2	NOUN
ejpam-5665	59	3	+	+	CCONJ
ejpam-5665	59	4	(	(	PUNCT
ejpam-5665	59	5	2pα2)q+	2pα2)q+	NUM
ejpam-5665	59	6	pα1	pα1	NOUN
ejpam-5665	59	7	]	]	PUNCT
ejpam-5665	59	8	,	,	PUNCT
ejpam-5665	59	9	w.	w.	PROPN
ejpam-5665	59	10	w.	w.	PROPN
ejpam-5665	59	11	mohammed	mohammed	PROPN
ejpam-5665	59	12	et	et	PROPN
ejpam-5665	59	13	al	al	PROPN
ejpam-5665	59	14	.	.	PUNCT
ejpam-5665	59	15	/	/	SYM
ejpam-5665	59	16	eur	eur	PROPN
ejpam-5665	59	17	.	.	PUNCT
ejpam-5665	60	1	j.	j.	PROPN
ejpam-5665	60	2	pure	pure	PROPN
ejpam-5665	60	3	appl	appl	PROPN
ejpam-5665	60	4	.	.	PROPN
ejpam-5665	60	5	math	math	PROPN
ejpam-5665	60	6	,	,	PUNCT
ejpam-5665	60	7	18	18	NUM
ejpam-5665	60	8	(	(	PUNCT
ejpam-5665	60	9	1	1	NUM
ejpam-5665	60	10	)	)	PUNCT
ejpam-5665	60	11	(	(	PUNCT
ejpam-5665	60	12	2025	2025	NUM
ejpam-5665	60	13	)	)	PUNCT
ejpam-5665	60	14	,	,	PUNCT
ejpam-5665	60	15	5665	5665	NUM
ejpam-5665	60	16	4	4	NUM
ejpam-5665	60	17	of	of	ADP
ejpam-5665	60	18	14	14	NUM
ejpam-5665	60	19	uzzz	uzzz	NOUN
ejpam-5665	60	20	=	=	SYM
ejpam-5665	60	21	n3[24α2q5	n3[24α2q5	PROPN
ejpam-5665	60	22	+	+	NUM
ejpam-5665	60	23	6α1q4	6α1q4	NUM
ejpam-5665	61	1	+	+	CCONJ
ejpam-5665	61	2	48pα2q3	48pα2q3	NUM
ejpam-5665	61	3	+	+	SYM
ejpam-5665	61	4	8pα1q2	8pα1q2	NUM
ejpam-5665	61	5	+	+	CCONJ
ejpam-5665	61	6	2p2α1	2p2α1	NOUN
ejpam-5665	61	7	]	]	X
ejpam-5665	61	8	,	,	PUNCT
ejpam-5665	61	9	uzxx	uzxx	PROPN
ejpam-5665	61	10	=	=	PUNCT
ejpam-5665	62	1	k2n[24α2q5	k2n[24α2q5	PROPN
ejpam-5665	62	2	+	+	CCONJ
ejpam-5665	62	3	6α1q4	6α1q4	NUM
ejpam-5665	63	1	+	+	CCONJ
ejpam-5665	63	2	48pα2q3	48pα2q3	NUM
ejpam-5665	63	3	+	+	SYM
ejpam-5665	63	4	8pα1q2	8pα1q2	NUM
ejpam-5665	63	5	+	+	CCONJ
ejpam-5665	63	6	2p2α1	2p2α1	NUM
ejpam-5665	63	7	]	]	X
ejpam-5665	63	8	,	,	PUNCT
ejpam-5665	63	9	uzyy	uzyy	NOUN
ejpam-5665	63	10	=	=	SYM
ejpam-5665	63	11	m2n[24α2q5	m2n[24α2q5	PROPN
ejpam-5665	63	12	+	+	NUM
ejpam-5665	63	13	6α1q4	6α1q4	NUM
ejpam-5665	63	14	+	+	CCONJ
ejpam-5665	63	15	48pα2q3	48pα2q3	NUM
ejpam-5665	63	16	+	+	SYM
ejpam-5665	63	17	8pα1q2	8pα1q2	NUM
ejpam-5665	63	18	+	+	CCONJ
ejpam-5665	63	19	2p2α1	2p2α1	NUM
ejpam-5665	63	20	]	]	X
ejpam-5665	63	21	,	,	PUNCT
ejpam-5665	63	22	uux	uux	PROPN
ejpam-5665	63	23	=	=	PROPN
ejpam-5665	63	24	k[2α2	k[2α2	PROPN
ejpam-5665	63	25	2q5	2q5	NUM
ejpam-5665	64	1	+	+	CCONJ
ejpam-5665	64	2	α1α2q4	α1α2q4	VERB
ejpam-5665	64	3	+	+	CCONJ
ejpam-5665	64	4	(	(	PUNCT
ejpam-5665	64	5	2α0α2	2α0α2	NUM
ejpam-5665	65	1	+	+	CCONJ
ejpam-5665	65	2	α2	α2	ADJ
ejpam-5665	65	3	1	1	NUM
ejpam-5665	65	4	+	+	CCONJ
ejpam-5665	65	5	2pα2	2pα2	NUM
ejpam-5665	65	6	2)q3	2)q3	NUM
ejpam-5665	65	7	(	(	PUNCT
ejpam-5665	65	8	7	7	NUM
ejpam-5665	65	9	)	)	PUNCT
ejpam-5665	65	10	+	+	NOUN
ejpam-5665	65	11	(	(	PUNCT
ejpam-5665	65	12	α0α1	α0α1	X
ejpam-5665	66	1	+	+	CCONJ
ejpam-5665	66	2	3pα2α1)q2	3pα2α1)q2	NUM
ejpam-5665	66	3	+	+	CCONJ
ejpam-5665	66	4	(	(	PUNCT
ejpam-5665	66	5	2pα0α2	2pα0α2	NUM
ejpam-5665	66	6	+	+	CCONJ
ejpam-5665	66	7	pα2	pα2	VERB
ejpam-5665	66	8	1)q+	1)q+	NUM
ejpam-5665	66	9	pα0α1	pα0α1	X
ejpam-5665	66	10	]	]	PUNCT
ejpam-5665	66	11	.	.	PUNCT
ejpam-5665	67	1	plugging	plug	VERB
ejpam-5665	67	2	eqs	eqs	PROPN
ejpam-5665	67	3	.	.	PUNCT
ejpam-5665	68	1	(	(	PUNCT
ejpam-5665	68	2	6	6	NUM
ejpam-5665	68	3	)	)	PUNCT
ejpam-5665	68	4	and	and	CCONJ
ejpam-5665	68	5	(	(	PUNCT
ejpam-5665	68	6	7	7	X
ejpam-5665	68	7	)	)	PUNCT
ejpam-5665	68	8	into	into	ADP
ejpam-5665	68	9	eq	eq	NOUN
ejpam-5665	68	10	.	.	PUNCT
ejpam-5665	69	1	(	(	PUNCT
ejpam-5665	69	2	3	3	NUM
ejpam-5665	69	3	)	)	PUNCT
ejpam-5665	69	4	,	,	PUNCT
ejpam-5665	69	5	we	we	PRON
ejpam-5665	69	6	get	get	VERB
ejpam-5665	69	7	a	a	DET
ejpam-5665	69	8	polynomial	polynomial	NOUN
ejpam-5665	69	9	of	of	ADP
ejpam-5665	69	10	degree	degree	NOUN
ejpam-5665	69	11	5	5	NUM
ejpam-5665	69	12	in	in	ADP
ejpam-5665	69	13	q	q	NOUN
ejpam-5665	69	14	as	as	SCONJ
ejpam-5665	69	15	follows	follow	VERB
ejpam-5665	69	16	[	[	X
ejpam-5665	69	17	24ℏα2	24ℏα2	ADJ
ejpam-5665	70	1	+	+	NOUN
ejpam-5665	70	2	2akα2	2akα2	NOUN
ejpam-5665	70	3	2]q5	2]q5	NUM
ejpam-5665	70	4	+	+	PUNCT
ejpam-5665	71	1	[	[	X
ejpam-5665	71	2	6ℏα1	6ℏα1	NUM
ejpam-5665	71	3	+	+	CCONJ
ejpam-5665	71	4	kaα1α2]q4	kaα1α2]q4	PROPN
ejpam-5665	72	1	+	+	PUNCT
ejpam-5665	73	1	[	[	X
ejpam-5665	73	2	2λα2	2λα2	PRON
ejpam-5665	73	3	+	+	NUM
ejpam-5665	73	4	48pℏα2	48pℏα2	NUM
ejpam-5665	73	5	+	+	CCONJ
ejpam-5665	73	6	2kaα0α2	2kaα0α2	NUM
ejpam-5665	73	7	+	+	CCONJ
ejpam-5665	73	8	kaα2	kaα2	PROPN
ejpam-5665	73	9	1	1	NUM
ejpam-5665	73	10	+	+	CCONJ
ejpam-5665	73	11	2kapα2	2kapα2	NUM
ejpam-5665	73	12	2]q3	2]q3	NUM
ejpam-5665	74	1	+	+	ADP
ejpam-5665	74	2	[	[	X
ejpam-5665	74	3	λα1	λα1	X
ejpam-5665	74	4	+	+	X
ejpam-5665	74	5	·	·	PUNCT
ejpam-5665	74	6	α2	α2	ADJ
ejpam-5665	74	7	+	+	CCONJ
ejpam-5665	74	8	8pℏα1	8pℏα1	NUM
ejpam-5665	74	9	+	+	CCONJ
ejpam-5665	74	10	kaα0α1	kaα0α1	ADJ
ejpam-5665	74	11	+	+	CCONJ
ejpam-5665	74	12	3kapα2α1	3kapα2α1	NUM
ejpam-5665	74	13	+	+	CCONJ
ejpam-5665	74	14	1	1	NUM
ejpam-5665	74	15	2	2	NUM
ejpam-5665	74	16	δ2α2]q2	δ2α2]q2	NOUN
ejpam-5665	75	1	[	[	X
ejpam-5665	75	2	α̇1	α̇1	PROPN
ejpam-5665	75	3	+	+	CCONJ
ejpam-5665	75	4	2pλα2	2pλα2	NUM
ejpam-5665	75	5	+	+	CCONJ
ejpam-5665	75	6	2pkaα0α2	2pkaα0α2	NOUN
ejpam-5665	76	1	+	+	CCONJ
ejpam-5665	76	2	pkaα2	pkaα2	NOUN
ejpam-5665	76	3	0	0	NUM
ejpam-5665	77	1	+	+	CCONJ
ejpam-5665	77	2	1	1	NUM
ejpam-5665	77	3	2	2	NUM
ejpam-5665	77	4	δ2α1]q	δ2α1]q	NOUN
ejpam-5665	78	1	+	+	PROPN
ejpam-5665	78	2	[	[	X
ejpam-5665	78	3	α̇0	α̇0	PROPN
ejpam-5665	78	4	+	+	NUM
ejpam-5665	78	5	pα1λ+	pα1λ+	PROPN
ejpam-5665	78	6	2ℏp2α1	2ℏp2α1	NUM
ejpam-5665	78	7	+	+	CCONJ
ejpam-5665	78	8	pkaα0α1	pkaα0α1	NOUN
ejpam-5665	79	1	+	+	CCONJ
ejpam-5665	79	2	1	1	NUM
ejpam-5665	79	3	2	2	NUM
ejpam-5665	79	4	δ2α0	δ2α0	NOUN
ejpam-5665	79	5	]	]	PUNCT
ejpam-5665	79	6	=	=	SYM
ejpam-5665	79	7	0	0	NUM
ejpam-5665	79	8	,	,	PUNCT
ejpam-5665	79	9	where	where	SCONJ
ejpam-5665	79	10	ℏ	ℏ	NOUN
ejpam-5665	79	11	=	=	PUNCT
ejpam-5665	79	12	bn3	bn3	PROPN
ejpam-5665	79	13	+	+	CCONJ
ejpam-5665	79	14	cnm2	cnm2	NOUN
ejpam-5665	79	15	+	+	CCONJ
ejpam-5665	79	16	cnk2	cnk2	PROPN
ejpam-5665	79	17	.	.	PUNCT
ejpam-5665	80	1	setting	set	VERB
ejpam-5665	80	2	each	each	DET
ejpam-5665	80	3	coefficient	coefficient	NOUN
ejpam-5665	80	4	of	of	ADP
ejpam-5665	80	5	qi	qi	PRON
ejpam-5665	80	6	to	to	ADP
ejpam-5665	80	7	zero	zero	NUM
ejpam-5665	80	8	,	,	PUNCT
ejpam-5665	80	9	we	we	PRON
ejpam-5665	80	10	attain	attain	VERB
ejpam-5665	80	11	24ℏα2	24ℏα2	NOUN
ejpam-5665	81	1	+	+	CCONJ
ejpam-5665	81	2	2akα2	2akα2	NUM
ejpam-5665	81	3	2	2	NUM
ejpam-5665	81	4	=	=	SYM
ejpam-5665	81	5	0	0	NUM
ejpam-5665	81	6	,	,	PUNCT
ejpam-5665	81	7	6ℏα1	6ℏα1	NUM
ejpam-5665	82	1	+	+	CCONJ
ejpam-5665	82	2	kaα1α2	kaα1α2	NOUN
ejpam-5665	82	3	=	=	SYM
ejpam-5665	82	4	0	0	NUM
ejpam-5665	82	5	,	,	PUNCT
ejpam-5665	82	6	2λα2	2λα2	NUM
ejpam-5665	83	1	+	+	CCONJ
ejpam-5665	83	2	48pℏα2	48pℏα2	NUM
ejpam-5665	83	3	+	+	CCONJ
ejpam-5665	83	4	2kaα0α2	2kaα0α2	NUM
ejpam-5665	83	5	+	+	CCONJ
ejpam-5665	83	6	kaα2	kaα2	PROPN
ejpam-5665	83	7	1	1	NUM
ejpam-5665	83	8	+	+	CCONJ
ejpam-5665	83	9	2kapα2	2kapα2	NUM
ejpam-5665	83	10	2	2	NUM
ejpam-5665	83	11	=	=	SYM
ejpam-5665	83	12	0	0	NUM
ejpam-5665	83	13	,	,	PUNCT
ejpam-5665	83	14	λα1	λα1	NOUN
ejpam-5665	83	15	+	+	X
ejpam-5665	83	16	α̇2	α̇2	PROPN
ejpam-5665	83	17	+	+	CCONJ
ejpam-5665	83	18	8pℏα1	8pℏα1	NUM
ejpam-5665	83	19	+	+	CCONJ
ejpam-5665	83	20	kaα0α1	kaα0α1	ADJ
ejpam-5665	83	21	+	+	CCONJ
ejpam-5665	83	22	3kapα2α1	3kapα2α1	ADJ
ejpam-5665	83	23	+	+	CCONJ
ejpam-5665	83	24	1	1	NUM
ejpam-5665	83	25	2	2	NUM
ejpam-5665	83	26	δ2α2	δ2α2	NOUN
ejpam-5665	83	27	=	=	SYM
ejpam-5665	83	28	0	0	NUM
ejpam-5665	83	29	,	,	PUNCT
ejpam-5665	83	30	α̇1	α̇1	PROPN
ejpam-5665	84	1	+	+	NUM
ejpam-5665	84	2	2pλα2	2pλα2	NUM
ejpam-5665	84	3	+	+	CCONJ
ejpam-5665	84	4	2pkaα0α2	2pkaα0α2	NOUN
ejpam-5665	85	1	+	+	CCONJ
ejpam-5665	85	2	pkaα2	pkaα2	NOUN
ejpam-5665	85	3	1	1	NUM
ejpam-5665	85	4	+	+	CCONJ
ejpam-5665	85	5	1	1	NUM
ejpam-5665	85	6	2	2	NUM
ejpam-5665	85	7	δ2α1	δ2α1	NOUN
ejpam-5665	85	8	=	=	SYM
ejpam-5665	85	9	0	0	NUM
ejpam-5665	85	10	,	,	PUNCT
ejpam-5665	85	11	and	and	CCONJ
ejpam-5665	85	12	α̇0	α̇0	PROPN
ejpam-5665	85	13	+	+	CCONJ
ejpam-5665	85	14	pα1λ+	pα1λ+	PROPN
ejpam-5665	85	15	2ℏp2α1	2ℏp2α1	NUM
ejpam-5665	86	1	+	+	CCONJ
ejpam-5665	86	2	pkaα0α1	pkaα0α1	NOUN
ejpam-5665	86	3	+	+	CCONJ
ejpam-5665	86	4	1	1	NUM
ejpam-5665	86	5	2	2	NUM
ejpam-5665	86	6	δ2α0	δ2α0	NOUN
ejpam-5665	86	7	=	=	SYM
ejpam-5665	86	8	0	0	NUM
ejpam-5665	86	9	.	.	PUNCT
ejpam-5665	87	1	these	these	DET
ejpam-5665	87	2	equations	equation	NOUN
ejpam-5665	87	3	are	be	AUX
ejpam-5665	87	4	solved	solve	VERB
ejpam-5665	87	5	to	to	PART
ejpam-5665	87	6	obtain	obtain	VERB
ejpam-5665	87	7	α0(t	α0(t	NUM
ejpam-5665	87	8	)	)	PUNCT
ejpam-5665	87	9	=	=	PUNCT
ejpam-5665	88	1	ℓ0e	ℓ0e	PROPN
ejpam-5665	88	2	−	−	NUM
ejpam-5665	88	3	1	1	NUM
ejpam-5665	88	4	2	2	NUM
ejpam-5665	88	5	δ2	δ2	VERB
ejpam-5665	88	6	t	t	PROPN
ejpam-5665	88	7	,	,	PUNCT
ejpam-5665	88	8	α1	α1	PROPN
ejpam-5665	88	9	=	=	SYM
ejpam-5665	88	10	0	0	NUM
ejpam-5665	88	11	,	,	PUNCT
ejpam-5665	88	12	α2	α2	NOUN
ejpam-5665	88	13	=	=	PUNCT
ejpam-5665	89	1	ℓ2e	ℓ2e	NOUN
ejpam-5665	89	2	−	−	NUM
ejpam-5665	89	3	1	1	NUM
ejpam-5665	89	4	2	2	NUM
ejpam-5665	89	5	δ2	δ2	VERB
ejpam-5665	89	6	t	t	PROPN
ejpam-5665	89	7	,	,	PUNCT
ejpam-5665	89	8	λ(t	λ(t	X
ejpam-5665	89	9	)	)	PUNCT
ejpam-5665	89	10	=	=	PUNCT
ejpam-5665	90	1	−akℓ0e	−akℓ0e	PROPN
ejpam-5665	90	2	δb(t)−	δb(t)−	NOUN
ejpam-5665	90	3	1	1	NUM
ejpam-5665	90	4	2	2	NUM
ejpam-5665	90	5	δ2	δ2	VERB
ejpam-5665	90	6	t	t	PROPN
ejpam-5665	90	7	,	,	PUNCT
ejpam-5665	90	8	and	and	CCONJ
ejpam-5665	90	9	bn3	bn3	VERB
ejpam-5665	90	10	+	+	CCONJ
ejpam-5665	90	11	cnm2	cnm2	NOUN
ejpam-5665	90	12	+	+	CCONJ
ejpam-5665	90	13	cnk2	cnk2	PROPN
ejpam-5665	90	14	=	=	SYM
ejpam-5665	90	15	−akℓ2	−akℓ2	PROPN
ejpam-5665	90	16	12	12	NUM
ejpam-5665	91	1	eδb(t)−	eδb(t)−	PROPN
ejpam-5665	91	2	1	1	NUM
ejpam-5665	91	3	2	2	NUM
ejpam-5665	91	4	δ2	δ2	VERB
ejpam-5665	91	5	t	t	PROPN
ejpam-5665	91	6	,	,	PUNCT
ejpam-5665	91	7	where	where	SCONJ
ejpam-5665	91	8	ℓ0	ℓ0	PROPN
ejpam-5665	91	9	and	and	CCONJ
ejpam-5665	91	10	ℓ2	ℓ2	NOUN
ejpam-5665	91	11	are	be	AUX
ejpam-5665	91	12	constants	constant	NOUN
ejpam-5665	91	13	.	.	PUNCT
ejpam-5665	92	1	thus	thus	ADV
ejpam-5665	92	2	the	the	DET
ejpam-5665	92	3	solutions	solution	NOUN
ejpam-5665	92	4	of	of	ADP
ejpam-5665	92	5	qzke	qzke	NOUN
ejpam-5665	92	6	-	-	PUNCT
ejpam-5665	92	7	rvcs	rvcs	PROPN
ejpam-5665	92	8	(	(	PUNCT
ejpam-5665	92	9	3	3	NUM
ejpam-5665	92	10	)	)	PUNCT
ejpam-5665	92	11	,	,	PUNCT
ejpam-5665	92	12	by	by	ADP
ejpam-5665	92	13	using	use	VERB
ejpam-5665	92	14	eq	eq	ADP
ejpam-5665	92	15	.	.	PUNCT
ejpam-5665	93	1	(	(	PUNCT
ejpam-5665	93	2	6	6	NUM
ejpam-5665	93	3	)	)	PUNCT
ejpam-5665	93	4	,	,	PUNCT
ejpam-5665	93	5	are	be	AUX
ejpam-5665	93	6	u(x	u(x	NOUN
ejpam-5665	93	7	,	,	PUNCT
ejpam-5665	93	8	y	y	PROPN
ejpam-5665	93	9	,	,	PUNCT
ejpam-5665	93	10	z	z	PROPN
ejpam-5665	93	11	,	,	PUNCT
ejpam-5665	93	12	t	t	PROPN
ejpam-5665	93	13	)	)	PUNCT
ejpam-5665	93	14	=	=	PUNCT
ejpam-5665	94	1	(	(	PUNCT
ejpam-5665	94	2	ℓ0	ℓ0	ADV
ejpam-5665	94	3	+	+	CCONJ
ejpam-5665	94	4	ℓ2q2(ξ))e−	ℓ2q2(ξ))e−	NUM
ejpam-5665	94	5	1	1	NUM
ejpam-5665	94	6	2	2	NUM
ejpam-5665	94	7	δ2	δ2	VERB
ejpam-5665	94	8	t	t	PROPN
ejpam-5665	94	9	,	,	PUNCT
ejpam-5665	94	10	ξ	ξ	X
ejpam-5665	94	11	=	=	SYM
ejpam-5665	94	12	kx+my	kx+my	X
ejpam-5665	94	13	+	+	CCONJ
ejpam-5665	94	14	nz	nz	ADJ
ejpam-5665	94	15	−	−	PROPN
ejpam-5665	94	16	akℓ0	akℓ0	PROPN
ejpam-5665	94	17	∫	∫	PROPN
ejpam-5665	94	18	t	t	PROPN
ejpam-5665	94	19	0	0	NUM
ejpam-5665	94	20	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	94	21	1	1	NUM
ejpam-5665	94	22	2	2	NUM
ejpam-5665	94	23	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	94	24	.	.	PUNCT
ejpam-5665	95	1	(	(	PUNCT
ejpam-5665	95	2	8)	8)	NUM
ejpam-5665	95	3	w.	w.	PROPN
ejpam-5665	95	4	w.	w.	PROPN
ejpam-5665	95	5	mohammed	mohammed	PROPN
ejpam-5665	95	6	et	et	PROPN
ejpam-5665	95	7	al	al	PROPN
ejpam-5665	95	8	.	.	PUNCT
ejpam-5665	95	9	/	/	SYM
ejpam-5665	95	10	eur	eur	PROPN
ejpam-5665	95	11	.	.	PUNCT
ejpam-5665	96	1	j.	j.	PROPN
ejpam-5665	96	2	pure	pure	PROPN
ejpam-5665	96	3	appl	appl	PROPN
ejpam-5665	96	4	.	.	PROPN
ejpam-5665	96	5	math	math	PROPN
ejpam-5665	96	6	,	,	PUNCT
ejpam-5665	96	7	18	18	NUM
ejpam-5665	96	8	(	(	PUNCT
ejpam-5665	96	9	1	1	NUM
ejpam-5665	96	10	)	)	PUNCT
ejpam-5665	96	11	(	(	PUNCT
ejpam-5665	96	12	2025	2025	NUM
ejpam-5665	96	13	)	)	PUNCT
ejpam-5665	96	14	,	,	PUNCT
ejpam-5665	96	15	5665	5665	NUM
ejpam-5665	96	16	5	5	NUM
ejpam-5665	96	17	of	of	ADP
ejpam-5665	96	18	14	14	NUM
ejpam-5665	96	19	to	to	PART
ejpam-5665	96	20	obtain	obtain	VERB
ejpam-5665	96	21	q	q	NOUN
ejpam-5665	96	22	,	,	PUNCT
ejpam-5665	96	23	there	there	PRON
ejpam-5665	96	24	are	be	VERB
ejpam-5665	96	25	a	a	DET
ejpam-5665	96	26	different	different	ADJ
ejpam-5665	96	27	sets	set	NOUN
ejpam-5665	96	28	for	for	ADP
ejpam-5665	96	29	the	the	DET
ejpam-5665	96	30	solution	solution	NOUN
ejpam-5665	96	31	of	of	ADP
ejpam-5665	96	32	eq	eq	PROPN
ejpam-5665	96	33	.	.	PUNCT
ejpam-5665	97	1	(	(	PUNCT
ejpam-5665	97	2	5	5	X
ejpam-5665	97	3	)	)	PUNCT
ejpam-5665	97	4	relying	rely	VERB
ejpam-5665	97	5	on	on	ADP
ejpam-5665	97	6	p	p	NOUN
ejpam-5665	97	7	as	as	SCONJ
ejpam-5665	97	8	follows	follow	VERB
ejpam-5665	97	9	:	:	PUNCT
ejpam-5665	97	10	set	set	VERB
ejpam-5665	97	11	1	1	NUM
ejpam-5665	97	12	:	:	PUNCT
ejpam-5665	97	13	when	when	SCONJ
ejpam-5665	97	14	p	p	X
ejpam-5665	97	15	>	>	X
ejpam-5665	97	16	0	0	NUM
ejpam-5665	97	17	,	,	PUNCT
ejpam-5665	97	18	thus	thus	ADV
ejpam-5665	97	19	the	the	DET
ejpam-5665	97	20	solutions	solution	NOUN
ejpam-5665	97	21	of	of	ADP
ejpam-5665	97	22	eq	eq	PROPN
ejpam-5665	97	23	.	.	PUNCT
ejpam-5665	98	1	(	(	PUNCT
ejpam-5665	98	2	5	5	X
ejpam-5665	98	3	)	)	PUNCT
ejpam-5665	98	4	are	be	AUX
ejpam-5665	98	5	:	:	PUNCT
ejpam-5665	98	6	q1(ξ	q1(ξ	NUM
ejpam-5665	98	7	)	)	PUNCT
ejpam-5665	98	8	=	=	SYM
ejpam-5665	99	1	√	√	PROPN
ejpam-5665	99	2	p	p	PROPN
ejpam-5665	99	3	tan	tan	PROPN
ejpam-5665	99	4	(	(	PUNCT
ejpam-5665	99	5	√	√	NUM
ejpam-5665	99	6	pξ	pξ	ADP
ejpam-5665	99	7	)	)	PUNCT
ejpam-5665	99	8	,	,	PUNCT
ejpam-5665	99	9	q2(ξ	q2(ξ	NOUN
ejpam-5665	99	10	)	)	PUNCT
ejpam-5665	100	1	=	=	SYM
ejpam-5665	100	2	−√	−√	PRON
ejpam-5665	100	3	p	p	NOUN
ejpam-5665	100	4	cot	cot	NOUN
ejpam-5665	100	5	(	(	PUNCT
ejpam-5665	100	6	√	√	NUM
ejpam-5665	100	7	pξ	pξ	ADP
ejpam-5665	100	8	)	)	PUNCT
ejpam-5665	100	9	,	,	PUNCT
ejpam-5665	100	10	q3(ξ	q3(ξ	X
ejpam-5665	100	11	)	)	PUNCT
ejpam-5665	100	12	=	=	PUNCT
ejpam-5665	101	1	√	√	PROPN
ejpam-5665	101	2	p	p	NOUN
ejpam-5665	101	3	(	(	PUNCT
ejpam-5665	101	4	tan	tan	PROPN
ejpam-5665	101	5	(	(	PUNCT
ejpam-5665	101	6	√	√	PROPN
ejpam-5665	101	7	4pξ)±	4pξ)±	NUM
ejpam-5665	101	8	sec	sec	PROPN
ejpam-5665	101	9	(	(	PUNCT
ejpam-5665	101	10	√	√	NUM
ejpam-5665	101	11	4pξ	4pξ	NOUN
ejpam-5665	101	12	)	)	PUNCT
ejpam-5665	101	13	)	)	PUNCT
ejpam-5665	101	14	,	,	PUNCT
ejpam-5665	101	15	q4(ξ	q4(ξ	X
ejpam-5665	101	16	)	)	PUNCT
ejpam-5665	101	17	=	=	SYM
ejpam-5665	102	1	−√	−√	PRON
ejpam-5665	103	1	p	p	NOUN
ejpam-5665	103	2	(	(	PUNCT
ejpam-5665	103	3	cot	cot	NOUN
ejpam-5665	103	4	(	(	PUNCT
ejpam-5665	103	5	√	√	PROPN
ejpam-5665	103	6	4pξ)±	4pξ)±	NUM
ejpam-5665	103	7	csc	csc	PROPN
ejpam-5665	103	8	(	(	PUNCT
ejpam-5665	103	9	√	√	NUM
ejpam-5665	103	10	4pξ	4pξ	NOUN
ejpam-5665	103	11	)	)	PUNCT
ejpam-5665	103	12	)	)	PUNCT
ejpam-5665	103	13	,	,	PUNCT
ejpam-5665	103	14	q5(ξ	q5(ξ	X
ejpam-5665	103	15	)	)	PUNCT
ejpam-5665	103	16	=	=	SYM
ejpam-5665	103	17	1	1	NUM
ejpam-5665	103	18	2	2	NUM
ejpam-5665	103	19	√	√	NOUN
ejpam-5665	103	20	p	p	NOUN
ejpam-5665	103	21	(	(	PUNCT
ejpam-5665	103	22	tan	tan	PROPN
ejpam-5665	103	23	(	(	PUNCT
ejpam-5665	103	24	1	1	NUM
ejpam-5665	103	25	2	2	NUM
ejpam-5665	103	26	√	√	PROPN
ejpam-5665	103	27	pξ)−	pξ)−	X
ejpam-5665	103	28	cot	cot	NOUN
ejpam-5665	103	29	(	(	PUNCT
ejpam-5665	103	30	1	1	NUM
ejpam-5665	103	31	2	2	NUM
ejpam-5665	103	32	√	√	NUM
ejpam-5665	103	33	pξ	pξ	NOUN
ejpam-5665	103	34	)	)	PUNCT
ejpam-5665	103	35	)	)	PUNCT
ejpam-5665	103	36	,	,	PUNCT
ejpam-5665	103	37	then	then	ADV
ejpam-5665	103	38	,	,	PUNCT
ejpam-5665	103	39	qzke	qzke	NOUN
ejpam-5665	103	40	-	-	PUNCT
ejpam-5665	103	41	rvcs	rvcs	PROPN
ejpam-5665	103	42	(	(	PUNCT
ejpam-5665	103	43	3	3	X
ejpam-5665	103	44	)	)	PUNCT
ejpam-5665	103	45	has	have	VERB
ejpam-5665	103	46	the	the	DET
ejpam-5665	103	47	trigonometric	trigonometric	ADJ
ejpam-5665	103	48	function	function	NOUN
ejpam-5665	103	49	solutions	solution	NOUN
ejpam-5665	103	50	:	:	PUNCT
ejpam-5665	103	51	u1(x	u1(x	ADJ
ejpam-5665	103	52	,	,	PUNCT
ejpam-5665	103	53	y	y	PROPN
ejpam-5665	103	54	,	,	PUNCT
ejpam-5665	103	55	z	z	PROPN
ejpam-5665	103	56	,	,	PUNCT
ejpam-5665	103	57	t	t	PROPN
ejpam-5665	103	58	)	)	PUNCT
ejpam-5665	103	59	=	=	PUNCT
ejpam-5665	104	1	(	(	PUNCT
ejpam-5665	104	2	ℓ0	ℓ0	INTJ
ejpam-5665	104	3	+	+	CCONJ
ejpam-5665	104	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	104	5	tan	tan	ADJ
ejpam-5665	104	6	2	2	NUM
ejpam-5665	104	7	(	(	PUNCT
ejpam-5665	104	8	√	√	NUM
ejpam-5665	104	9	pξ	pξ	NOUN
ejpam-5665	104	10	)	)	PUNCT
ejpam-5665	104	11	)	)	PUNCT
ejpam-5665	105	1	e−	e−	ADV
ejpam-5665	105	2	1	1	NUM
ejpam-5665	105	3	2	2	NUM
ejpam-5665	105	4	δ2	δ2	VERB
ejpam-5665	105	5	t	t	PROPN
ejpam-5665	105	6	,	,	PUNCT
ejpam-5665	105	7	(	(	PUNCT
ejpam-5665	105	8	9	9	X
ejpam-5665	105	9	)	)	PUNCT
ejpam-5665	105	10	u2(x	u2(x	PROPN
ejpam-5665	105	11	,	,	PUNCT
ejpam-5665	105	12	y	y	PROPN
ejpam-5665	105	13	,	,	PUNCT
ejpam-5665	105	14	z	z	PROPN
ejpam-5665	105	15	,	,	PUNCT
ejpam-5665	105	16	t	t	PROPN
ejpam-5665	105	17	)	)	PUNCT
ejpam-5665	105	18	=	=	PUNCT
ejpam-5665	105	19	(	(	PUNCT
ejpam-5665	105	20	ℓ0	ℓ0	ADV
ejpam-5665	105	21	−	−	PROPN
ejpam-5665	105	22	ℓ2p	ℓ2p	PROPN
ejpam-5665	105	23	cot	cot	NOUN
ejpam-5665	105	24	2	2	NUM
ejpam-5665	105	25	(	(	PUNCT
ejpam-5665	105	26	√	√	NUM
ejpam-5665	105	27	pξ	pξ	NOUN
ejpam-5665	105	28	)	)	PUNCT
ejpam-5665	105	29	)	)	PUNCT
ejpam-5665	106	1	e−	e−	ADV
ejpam-5665	106	2	1	1	NUM
ejpam-5665	106	3	2	2	NUM
ejpam-5665	106	4	δ2	δ2	VERB
ejpam-5665	106	5	t	t	PROPN
ejpam-5665	106	6	,	,	PUNCT
ejpam-5665	106	7	(	(	PUNCT
ejpam-5665	106	8	10	10	NUM
ejpam-5665	106	9	)	)	PUNCT
ejpam-5665	106	10	u3(x	u3(x	PROPN
ejpam-5665	106	11	,	,	PUNCT
ejpam-5665	106	12	y	y	PROPN
ejpam-5665	106	13	,	,	PUNCT
ejpam-5665	106	14	z	z	PROPN
ejpam-5665	106	15	,	,	PUNCT
ejpam-5665	106	16	t	t	PROPN
ejpam-5665	106	17	)	)	PUNCT
ejpam-5665	106	18	=	=	PUNCT
ejpam-5665	107	1	(	(	PUNCT
ejpam-5665	107	2	ℓ0	ℓ0	ADV
ejpam-5665	107	3	+	+	CCONJ
ejpam-5665	107	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	107	5	(	(	PUNCT
ejpam-5665	107	6	tan	tan	PROPN
ejpam-5665	107	7	(	(	PUNCT
ejpam-5665	107	8	√	√	PROPN
ejpam-5665	107	9	4pξ)±	4pξ)±	NUM
ejpam-5665	107	10	sec	sec	PROPN
ejpam-5665	107	11	(	(	PUNCT
ejpam-5665	107	12	√	√	NUM
ejpam-5665	107	13	4pξ	4pξ	NOUN
ejpam-5665	107	14	)	)	PUNCT
ejpam-5665	107	15	)	)	PUNCT
ejpam-5665	107	16	2	2	X
ejpam-5665	107	17	)	)	PUNCT
ejpam-5665	107	18	e−	e−	PUNCT
ejpam-5665	107	19	1	1	NUM
ejpam-5665	107	20	2	2	NUM
ejpam-5665	107	21	δ2	δ2	VERB
ejpam-5665	107	22	t	t	PROPN
ejpam-5665	107	23	,	,	PUNCT
ejpam-5665	107	24	(	(	PUNCT
ejpam-5665	107	25	11	11	NUM
ejpam-5665	107	26	)	)	PUNCT
ejpam-5665	107	27	u4(x	u4(x	PROPN
ejpam-5665	107	28	,	,	PUNCT
ejpam-5665	107	29	y	y	PROPN
ejpam-5665	107	30	,	,	PUNCT
ejpam-5665	107	31	z	z	PROPN
ejpam-5665	107	32	,	,	PUNCT
ejpam-5665	107	33	t	t	PROPN
ejpam-5665	107	34	)	)	PUNCT
ejpam-5665	107	35	=	=	PUNCT
ejpam-5665	107	36	(	(	PUNCT
ejpam-5665	107	37	ℓ0	ℓ0	ADV
ejpam-5665	107	38	−	−	PROPN
ejpam-5665	107	39	ℓ2p	ℓ2p	PROPN
ejpam-5665	107	40	(	(	PUNCT
ejpam-5665	107	41	cot	cot	NOUN
ejpam-5665	107	42	(	(	PUNCT
ejpam-5665	107	43	√	√	PROPN
ejpam-5665	107	44	4pξ)±	4pξ)±	NUM
ejpam-5665	107	45	csc	csc	PROPN
ejpam-5665	107	46	(	(	PUNCT
ejpam-5665	107	47	√	√	NUM
ejpam-5665	107	48	4pξ	4pξ	NOUN
ejpam-5665	107	49	)	)	PUNCT
ejpam-5665	107	50	)	)	PUNCT
ejpam-5665	107	51	2	2	X
ejpam-5665	107	52	)	)	PUNCT
ejpam-5665	107	53	e−	e−	PUNCT
ejpam-5665	107	54	1	1	NUM
ejpam-5665	107	55	2	2	NUM
ejpam-5665	107	56	δ2	δ2	VERB
ejpam-5665	107	57	t	t	PROPN
ejpam-5665	107	58	,	,	PUNCT
ejpam-5665	107	59	(	(	PUNCT
ejpam-5665	107	60	12	12	NUM
ejpam-5665	107	61	)	)	PUNCT
ejpam-5665	107	62	u5(x	u5(x	PROPN
ejpam-5665	107	63	,	,	PUNCT
ejpam-5665	107	64	y	y	PROPN
ejpam-5665	107	65	,	,	PUNCT
ejpam-5665	107	66	z	z	PROPN
ejpam-5665	107	67	,	,	PUNCT
ejpam-5665	107	68	t	t	PROPN
ejpam-5665	107	69	)	)	PUNCT
ejpam-5665	107	70	=	=	PUNCT
ejpam-5665	108	1	(	(	PUNCT
ejpam-5665	108	2	ℓ0	ℓ0	ADV
ejpam-5665	108	3	+	+	CCONJ
ejpam-5665	108	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	108	5	2	2	NUM
ejpam-5665	108	6	(	(	PUNCT
ejpam-5665	108	7	tan	tan	PROPN
ejpam-5665	108	8	(	(	PUNCT
ejpam-5665	108	9	1	1	NUM
ejpam-5665	108	10	2	2	NUM
ejpam-5665	108	11	√	√	PROPN
ejpam-5665	108	12	pξ)−	pξ)−	X
ejpam-5665	108	13	cot	cot	NOUN
ejpam-5665	108	14	(	(	PUNCT
ejpam-5665	108	15	1	1	NUM
ejpam-5665	108	16	2	2	NUM
ejpam-5665	108	17	√	√	NUM
ejpam-5665	108	18	pξ	pξ	NOUN
ejpam-5665	108	19	)	)	PUNCT
ejpam-5665	108	20	)	)	PUNCT
ejpam-5665	108	21	2	2	X
ejpam-5665	108	22	)	)	PUNCT
ejpam-5665	108	23	e−	e−	PUNCT
ejpam-5665	108	24	1	1	NUM
ejpam-5665	108	25	2	2	NUM
ejpam-5665	108	26	δ2	δ2	VERB
ejpam-5665	108	27	t	t	PROPN
ejpam-5665	108	28	,	,	PUNCT
ejpam-5665	108	29	(	(	PUNCT
ejpam-5665	108	30	13	13	NUM
ejpam-5665	108	31	)	)	PUNCT
ejpam-5665	108	32	where	where	SCONJ
ejpam-5665	108	33	ξ	ξ	X
ejpam-5665	108	34	=	=	SYM
ejpam-5665	108	35	kx+my	kx+my	X
ejpam-5665	108	36	+	+	CCONJ
ejpam-5665	108	37	nz	nz	ADJ
ejpam-5665	108	38	−	−	PROPN
ejpam-5665	108	39	akℓ0	akℓ0	PROPN
ejpam-5665	108	40	∫	∫	PROPN
ejpam-5665	108	41	t	t	PROPN
ejpam-5665	108	42	0	0	NUM
ejpam-5665	108	43	e	e	NOUN
ejpam-5665	108	44	δb(τ)−	δb(τ)−	NOUN
ejpam-5665	108	45	1	1	NUM
ejpam-5665	108	46	2	2	NUM
ejpam-5665	108	47	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	108	48	.	.	PUNCT
ejpam-5665	109	1	set	set	VERB
ejpam-5665	109	2	2	2	NUM
ejpam-5665	109	3	:	:	PUNCT
ejpam-5665	109	4	when	when	SCONJ
ejpam-5665	109	5	p	p	X
ejpam-5665	109	6	<	<	X
ejpam-5665	109	7	0	0	PROPN
ejpam-5665	109	8	,	,	PUNCT
ejpam-5665	109	9	the	the	DET
ejpam-5665	109	10	solutions	solution	NOUN
ejpam-5665	109	11	of	of	ADP
ejpam-5665	109	12	eq	eq	PROPN
ejpam-5665	109	13	.	.	PUNCT
ejpam-5665	110	1	(	(	PUNCT
ejpam-5665	110	2	5	5	X
ejpam-5665	110	3	)	)	PUNCT
ejpam-5665	110	4	are	be	AUX
ejpam-5665	110	5	:	:	PUNCT
ejpam-5665	110	6	q6(ξ	q6(ξ	X
ejpam-5665	110	7	)	)	PUNCT
ejpam-5665	110	8	=	=	SYM
ejpam-5665	111	1	−	−	PROPN
ejpam-5665	111	2	√	√	NUM
ejpam-5665	111	3	−p	−p	ADJ
ejpam-5665	111	4	tanh	tanh	NOUN
ejpam-5665	111	5	(	(	PUNCT
ejpam-5665	111	6	√	√	ADP
ejpam-5665	111	7	−pξ	−pξ	PROPN
ejpam-5665	111	8	)	)	PUNCT
ejpam-5665	111	9	,	,	PUNCT
ejpam-5665	111	10	q7(ξ	q7(ξ	X
ejpam-5665	111	11	)	)	PUNCT
ejpam-5665	111	12	=	=	SYM
ejpam-5665	111	13	−	−	PROPN
ejpam-5665	111	14	√	√	NUM
ejpam-5665	111	15	−p	−p	ADJ
ejpam-5665	111	16	coth	coth	NOUN
ejpam-5665	111	17	(	(	PUNCT
ejpam-5665	111	18	√	√	ADP
ejpam-5665	111	19	−pξ	−pξ	PROPN
ejpam-5665	111	20	)	)	PUNCT
ejpam-5665	111	21	,	,	PUNCT
ejpam-5665	111	22	q8(ξ	q8(ξ	CCONJ
ejpam-5665	111	23	)	)	PUNCT
ejpam-5665	111	24	=	=	SYM
ejpam-5665	111	25	−	−	PROPN
ejpam-5665	111	26	√	√	NUM
ejpam-5665	111	27	−p	−p	NOUN
ejpam-5665	111	28	(	(	PUNCT
ejpam-5665	111	29	coth	coth	PROPN
ejpam-5665	111	30	(	(	PUNCT
ejpam-5665	111	31	√	√	PROPN
ejpam-5665	111	32	−4pξ)±	−4pξ)±	PROPN
ejpam-5665	111	33	csch	csch	NOUN
ejpam-5665	111	34	(	(	PUNCT
ejpam-5665	111	35	√	√	ADP
ejpam-5665	111	36	−4pξ	−4pξ	NOUN
ejpam-5665	111	37	)	)	PUNCT
ejpam-5665	111	38	)	)	PUNCT
ejpam-5665	111	39	,	,	PUNCT
ejpam-5665	111	40	q9(ξ	q9(ξ	ADJ
ejpam-5665	111	41	)	)	PUNCT
ejpam-5665	111	42	=	=	SYM
ejpam-5665	111	43	−1	−1	NOUN
ejpam-5665	111	44	2	2	NUM
ejpam-5665	111	45	√	√	NOUN
ejpam-5665	111	46	−p	−p	NOUN
ejpam-5665	111	47	(	(	PUNCT
ejpam-5665	111	48	tanh	tanh	NOUN
ejpam-5665	111	49	(	(	PUNCT
ejpam-5665	111	50	1	1	NUM
ejpam-5665	111	51	2	2	NUM
ejpam-5665	111	52	√	√	NUM
ejpam-5665	111	53	−pξ	−pξ	PROPN
ejpam-5665	111	54	)	)	PUNCT
ejpam-5665	111	55	+	+	NUM
ejpam-5665	111	56	coth	coth	X
ejpam-5665	111	57	(	(	PUNCT
ejpam-5665	111	58	1	1	NUM
ejpam-5665	111	59	2	2	NUM
ejpam-5665	111	60	√	√	NUM
ejpam-5665	111	61	−pξ	−pξ	PROPN
ejpam-5665	111	62	)	)	PUNCT
ejpam-5665	111	63	)	)	PUNCT
ejpam-5665	111	64	.	.	PUNCT
ejpam-5665	112	1	then	then	ADV
ejpam-5665	112	2	,	,	PUNCT
ejpam-5665	112	3	the	the	DET
ejpam-5665	112	4	hyperbolic	hyperbolic	ADJ
ejpam-5665	112	5	function	function	NOUN
ejpam-5665	112	6	solutions	solution	NOUN
ejpam-5665	112	7	of	of	ADP
ejpam-5665	112	8	qzke	qzke	NOUN
ejpam-5665	112	9	-	-	PUNCT
ejpam-5665	112	10	rvcs	rvcs	PROPN
ejpam-5665	112	11	(	(	PUNCT
ejpam-5665	112	12	3	3	X
ejpam-5665	112	13	)	)	PUNCT
ejpam-5665	112	14	are	be	AUX
ejpam-5665	112	15	:	:	PUNCT
ejpam-5665	112	16	u6(x	u6(x	PROPN
ejpam-5665	112	17	,	,	PUNCT
ejpam-5665	112	18	y	y	PROPN
ejpam-5665	112	19	,	,	PUNCT
ejpam-5665	112	20	z	z	PROPN
ejpam-5665	112	21	,	,	PUNCT
ejpam-5665	112	22	t	t	PROPN
ejpam-5665	112	23	)	)	PUNCT
ejpam-5665	112	24	=	=	PUNCT
ejpam-5665	113	1	(	(	PUNCT
ejpam-5665	113	2	ℓ0	ℓ0	ADV
ejpam-5665	113	3	+	+	CCONJ
ejpam-5665	113	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	113	5	tanh	tanh	PROPN
ejpam-5665	113	6	2	2	NUM
ejpam-5665	113	7	(	(	PUNCT
ejpam-5665	113	8	√	√	NUM
ejpam-5665	113	9	−pξ	−pξ	PROPN
ejpam-5665	113	10	)	)	PUNCT
ejpam-5665	113	11	)	)	PUNCT
ejpam-5665	114	1	e−	e−	ADV
ejpam-5665	114	2	1	1	NUM
ejpam-5665	114	3	2	2	NUM
ejpam-5665	114	4	δ2	δ2	VERB
ejpam-5665	114	5	t	t	PROPN
ejpam-5665	114	6	,	,	PUNCT
ejpam-5665	114	7	(	(	PUNCT
ejpam-5665	114	8	14	14	NUM
ejpam-5665	114	9	)	)	PUNCT
ejpam-5665	114	10	u7(x	u7(x	PROPN
ejpam-5665	114	11	,	,	PUNCT
ejpam-5665	114	12	y	y	PROPN
ejpam-5665	114	13	,	,	PUNCT
ejpam-5665	114	14	z	z	PROPN
ejpam-5665	114	15	,	,	PUNCT
ejpam-5665	114	16	t	t	PROPN
ejpam-5665	114	17	)	)	PUNCT
ejpam-5665	114	18	=	=	PUNCT
ejpam-5665	115	1	(	(	PUNCT
ejpam-5665	115	2	ℓ0	ℓ0	ADV
ejpam-5665	115	3	+	+	CCONJ
ejpam-5665	115	4	ℓ2p	ℓ2p	ADJ
ejpam-5665	115	5	coth	coth	NOUN
ejpam-5665	115	6	2	2	NUM
ejpam-5665	115	7	(	(	PUNCT
ejpam-5665	115	8	√	√	NUM
ejpam-5665	115	9	−pξ	−pξ	NUM
ejpam-5665	115	10	)	)	PUNCT
ejpam-5665	115	11	)	)	PUNCT
ejpam-5665	116	1	e−	e−	ADV
ejpam-5665	116	2	1	1	NUM
ejpam-5665	116	3	2	2	NUM
ejpam-5665	116	4	δ2	δ2	VERB
ejpam-5665	116	5	t	t	PROPN
ejpam-5665	116	6	,	,	PUNCT
ejpam-5665	116	7	(	(	PUNCT
ejpam-5665	116	8	15	15	X
ejpam-5665	116	9	)	)	PUNCT
ejpam-5665	116	10	w.	w.	PROPN
ejpam-5665	116	11	w.	w.	PROPN
ejpam-5665	116	12	mohammed	mohammed	PROPN
ejpam-5665	116	13	et	et	PROPN
ejpam-5665	116	14	al	al	PROPN
ejpam-5665	116	15	.	.	PUNCT
ejpam-5665	116	16	/	/	SYM
ejpam-5665	116	17	eur	eur	PROPN
ejpam-5665	116	18	.	.	PUNCT
ejpam-5665	117	1	j.	j.	PROPN
ejpam-5665	117	2	pure	pure	PROPN
ejpam-5665	117	3	appl	appl	PROPN
ejpam-5665	117	4	.	.	PROPN
ejpam-5665	117	5	math	math	PROPN
ejpam-5665	117	6	,	,	PUNCT
ejpam-5665	117	7	18	18	NUM
ejpam-5665	117	8	(	(	PUNCT
ejpam-5665	117	9	1	1	NUM
ejpam-5665	117	10	)	)	PUNCT
ejpam-5665	117	11	(	(	PUNCT
ejpam-5665	117	12	2025	2025	NUM
ejpam-5665	117	13	)	)	PUNCT
ejpam-5665	117	14	,	,	PUNCT
ejpam-5665	117	15	5665	5665	NUM
ejpam-5665	117	16	6	6	NUM
ejpam-5665	117	17	of	of	ADP
ejpam-5665	117	18	14	14	NUM
ejpam-5665	117	19	u8(x	u8(x	PROPN
ejpam-5665	117	20	,	,	PUNCT
ejpam-5665	117	21	y	y	PROPN
ejpam-5665	117	22	,	,	PUNCT
ejpam-5665	117	23	z	z	PROPN
ejpam-5665	117	24	,	,	PUNCT
ejpam-5665	117	25	t	t	PROPN
ejpam-5665	117	26	)	)	PUNCT
ejpam-5665	117	27	=	=	PUNCT
ejpam-5665	118	1	(	(	PUNCT
ejpam-5665	118	2	ℓ0	ℓ0	ADV
ejpam-5665	118	3	+	+	CCONJ
ejpam-5665	118	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	118	5	(	(	PUNCT
ejpam-5665	118	6	coth	coth	PROPN
ejpam-5665	118	7	(	(	PUNCT
ejpam-5665	118	8	√	√	PROPN
ejpam-5665	118	9	−4pξ)±	−4pξ)±	PROPN
ejpam-5665	118	10	csch	csch	NOUN
ejpam-5665	118	11	(	(	PUNCT
ejpam-5665	118	12	√	√	ADP
ejpam-5665	118	13	−4pξ	−4pξ	NOUN
ejpam-5665	118	14	)	)	PUNCT
ejpam-5665	118	15	)	)	PUNCT
ejpam-5665	118	16	2	2	X
ejpam-5665	118	17	)	)	PUNCT
ejpam-5665	118	18	e−	e−	PUNCT
ejpam-5665	118	19	1	1	NUM
ejpam-5665	118	20	2	2	NUM
ejpam-5665	118	21	δ2	δ2	VERB
ejpam-5665	118	22	t	t	PROPN
ejpam-5665	118	23	,	,	PUNCT
ejpam-5665	118	24	(	(	PUNCT
ejpam-5665	118	25	16	16	NUM
ejpam-5665	118	26	)	)	PUNCT
ejpam-5665	118	27	u9(x	u9(x	PROPN
ejpam-5665	118	28	,	,	PUNCT
ejpam-5665	118	29	y	y	PROPN
ejpam-5665	118	30	,	,	PUNCT
ejpam-5665	118	31	z	z	PROPN
ejpam-5665	118	32	,	,	PUNCT
ejpam-5665	118	33	t	t	PROPN
ejpam-5665	118	34	)	)	PUNCT
ejpam-5665	118	35	=	=	PUNCT
ejpam-5665	119	1	(	(	PUNCT
ejpam-5665	119	2	ℓ0	ℓ0	ADV
ejpam-5665	119	3	+	+	CCONJ
ejpam-5665	119	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	119	5	2	2	NUM
ejpam-5665	119	6	(	(	PUNCT
ejpam-5665	119	7	tanh	tanh	NOUN
ejpam-5665	119	8	(	(	PUNCT
ejpam-5665	119	9	1	1	NUM
ejpam-5665	119	10	2	2	NUM
ejpam-5665	119	11	√	√	NUM
ejpam-5665	119	12	−pξ	−pξ	PROPN
ejpam-5665	119	13	)	)	PUNCT
ejpam-5665	119	14	+	+	NUM
ejpam-5665	119	15	coth	coth	X
ejpam-5665	119	16	(	(	PUNCT
ejpam-5665	119	17	1	1	NUM
ejpam-5665	119	18	2	2	NUM
ejpam-5665	119	19	√	√	NUM
ejpam-5665	119	20	−pξ	−pξ	PROPN
ejpam-5665	119	21	)	)	PUNCT
ejpam-5665	119	22	)	)	PUNCT
ejpam-5665	119	23	2	2	X
ejpam-5665	119	24	)	)	PUNCT
ejpam-5665	119	25	e−	e−	PUNCT
ejpam-5665	119	26	1	1	NUM
ejpam-5665	119	27	2	2	NUM
ejpam-5665	119	28	δ2	δ2	VERB
ejpam-5665	119	29	t	t	PROPN
ejpam-5665	119	30	,	,	PUNCT
ejpam-5665	119	31	(	(	PUNCT
ejpam-5665	119	32	17	17	NUM
ejpam-5665	119	33	)	)	PUNCT
ejpam-5665	119	34	where	where	SCONJ
ejpam-5665	119	35	ξ	ξ	X
ejpam-5665	119	36	=	=	SYM
ejpam-5665	119	37	kx+my	kx+my	X
ejpam-5665	119	38	+	+	CCONJ
ejpam-5665	119	39	nz	nz	ADJ
ejpam-5665	119	40	−	−	PROPN
ejpam-5665	119	41	akℓ0	akℓ0	PROPN
ejpam-5665	119	42	∫	∫	PROPN
ejpam-5665	119	43	t	t	PROPN
ejpam-5665	119	44	0	0	NUM
ejpam-5665	119	45	e	e	NOUN
ejpam-5665	119	46	δb(τ)−	δb(τ)−	NOUN
ejpam-5665	119	47	1	1	NUM
ejpam-5665	119	48	2	2	NUM
ejpam-5665	119	49	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	119	50	.	.	PUNCT
ejpam-5665	120	1	set	set	VERB
ejpam-5665	120	2	3	3	NUM
ejpam-5665	120	3	:	:	PUNCT
ejpam-5665	120	4	when	when	SCONJ
ejpam-5665	120	5	p	p	PROPN
ejpam-5665	120	6	=	=	NOUN
ejpam-5665	120	7	0	0	NUM
ejpam-5665	120	8	,	,	PUNCT
ejpam-5665	120	9	then	then	ADV
ejpam-5665	120	10	the	the	DET
ejpam-5665	120	11	solution	solution	NOUN
ejpam-5665	120	12	of	of	ADP
ejpam-5665	120	13	eq	eq	PROPN
ejpam-5665	120	14	.	.	PUNCT
ejpam-5665	121	1	(	(	PUNCT
ejpam-5665	121	2	5	5	NUM
ejpam-5665	121	3	)	)	PUNCT
ejpam-5665	121	4	is	be	AUX
ejpam-5665	121	5	q10(ξ	q10(ξ	ADJ
ejpam-5665	121	6	)	)	PUNCT
ejpam-5665	121	7	=	=	SYM
ejpam-5665	121	8	−1	−1	NOUN
ejpam-5665	121	9	ξ	ξ	PROPN
ejpam-5665	121	10	.	.	PUNCT
ejpam-5665	122	1	then	then	ADV
ejpam-5665	122	2	,	,	PUNCT
ejpam-5665	122	3	we	we	PRON
ejpam-5665	122	4	get	get	VERB
ejpam-5665	122	5	the	the	DET
ejpam-5665	122	6	rational	rational	ADJ
ejpam-5665	122	7	function	function	NOUN
ejpam-5665	122	8	solution	solution	NOUN
ejpam-5665	122	9	of	of	ADP
ejpam-5665	122	10	the	the	DET
ejpam-5665	122	11	qzke	qzke	NOUN
ejpam-5665	122	12	-	-	PUNCT
ejpam-5665	122	13	rvcs	rvcs	PROPN
ejpam-5665	122	14	(	(	PUNCT
ejpam-5665	122	15	3	3	NUM
ejpam-5665	122	16	)	)	PUNCT
ejpam-5665	122	17	as	as	ADP
ejpam-5665	122	18	u10(x	u10(x	NOUN
ejpam-5665	122	19	,	,	PUNCT
ejpam-5665	122	20	y	y	PROPN
ejpam-5665	122	21	,	,	PUNCT
ejpam-5665	122	22	z	z	PROPN
ejpam-5665	122	23	,	,	PUNCT
ejpam-5665	122	24	t	t	PROPN
ejpam-5665	122	25	)	)	PUNCT
ejpam-5665	122	26	=	=	PUNCT
ejpam-5665	123	1	(	(	PUNCT
ejpam-5665	123	2	ℓ0	ℓ0	INTJ
ejpam-5665	123	3	+	+	CCONJ
ejpam-5665	123	4	ℓ2	ℓ2	PROPN
ejpam-5665	123	5	ξ2	ξ2	NOUN
ejpam-5665	123	6	)	)	PUNCT
ejpam-5665	124	1	e−	e−	ADV
ejpam-5665	124	2	1	1	NUM
ejpam-5665	124	3	2	2	NUM
ejpam-5665	124	4	δ2	δ2	VERB
ejpam-5665	124	5	t	t	PROPN
ejpam-5665	124	6	,	,	PUNCT
ejpam-5665	124	7	(	(	PUNCT
ejpam-5665	124	8	18	18	NUM
ejpam-5665	124	9	)	)	PUNCT
ejpam-5665	124	10	where	where	SCONJ
ejpam-5665	124	11	ξ	ξ	X
ejpam-5665	124	12	=	=	SYM
ejpam-5665	124	13	kx+my	kx+my	X
ejpam-5665	124	14	+	+	CCONJ
ejpam-5665	124	15	nz	nz	ADJ
ejpam-5665	124	16	−	−	PROPN
ejpam-5665	124	17	akℓ0	akℓ0	PROPN
ejpam-5665	124	18	∫	∫	PROPN
ejpam-5665	124	19	t	t	PROPN
ejpam-5665	124	20	0	0	NUM
ejpam-5665	124	21	e	e	NOUN
ejpam-5665	124	22	δb(τ)−	δb(τ)−	NOUN
ejpam-5665	124	23	1	1	NUM
ejpam-5665	124	24	2	2	NUM
ejpam-5665	124	25	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	124	26	.	.	PUNCT
ejpam-5665	125	1	2.2	2.2	NUM
ejpam-5665	125	2	.	.	PUNCT
ejpam-5665	126	1	jef	jef	PROPN
ejpam-5665	126	2	-	-	PUNCT
ejpam-5665	126	3	method	method	NOUN
ejpam-5665	126	4	we	we	PRON
ejpam-5665	126	5	utilize	utilize	VERB
ejpam-5665	126	6	the	the	DET
ejpam-5665	126	7	jef	jef	PROPN
ejpam-5665	126	8	-	-	PUNCT
ejpam-5665	126	9	method	method	NOUN
ejpam-5665	126	10	,	,	PUNCT
ejpam-5665	126	11	as	as	SCONJ
ejpam-5665	126	12	mentioned	mention	VERB
ejpam-5665	126	13	in	in	ADP
ejpam-5665	126	14	[	[	X
ejpam-5665	126	15	11	11	NUM
ejpam-5665	126	16	]	]	PUNCT
ejpam-5665	126	17	.	.	PUNCT
ejpam-5665	127	1	let	let	VERB
ejpam-5665	127	2	the	the	DET
ejpam-5665	127	3	solutions	solution	NOUN
ejpam-5665	127	4	of	of	ADP
ejpam-5665	127	5	qzke	qzke	NOUN
ejpam-5665	127	6	-	-	PUNCT
ejpam-5665	127	7	rvcs	rvcs	PROPN
ejpam-5665	127	8	(	(	PUNCT
ejpam-5665	127	9	3	3	NUM
ejpam-5665	127	10	)	)	PUNCT
ejpam-5665	127	11	,	,	PUNCT
ejpam-5665	127	12	with	with	ADP
ejpam-5665	127	13	m	m	PROPN
ejpam-5665	127	14	=	=	SYM
ejpam-5665	127	15	2	2	NUM
ejpam-5665	127	16	,	,	PUNCT
ejpam-5665	127	17	have	have	VERB
ejpam-5665	127	18	the	the	DET
ejpam-5665	127	19	form	form	NOUN
ejpam-5665	127	20	u(x	u(x	NOUN
ejpam-5665	127	21	,	,	PUNCT
ejpam-5665	127	22	y	y	PROPN
ejpam-5665	127	23	,	,	PUNCT
ejpam-5665	127	24	z	z	PROPN
ejpam-5665	127	25	,	,	PUNCT
ejpam-5665	127	26	t	t	PROPN
ejpam-5665	127	27	)	)	PUNCT
ejpam-5665	127	28	=	=	PUNCT
ejpam-5665	128	1	a0(t	a0(t	PROPN
ejpam-5665	128	2	)	)	PUNCT
ejpam-5665	128	3	+	+	NUM
ejpam-5665	128	4	a1(t)j	a1(t)j	NUM
ejpam-5665	128	5	(	(	PUNCT
ejpam-5665	128	6	ξ	ξ	NOUN
ejpam-5665	128	7	)	)	PUNCT
ejpam-5665	128	8	+	+	CCONJ
ejpam-5665	128	9	a2(t)j	a2(t)j	NOUN
ejpam-5665	128	10	2(ξ	2(ξ	NUM
ejpam-5665	128	11	)	)	PUNCT
ejpam-5665	128	12	,	,	PUNCT
ejpam-5665	128	13	ξ	ξ	X
ejpam-5665	128	14	=	=	SYM
ejpam-5665	128	15	kx+my	kx+my	X
ejpam-5665	128	16	+	+	CCONJ
ejpam-5665	128	17	nz	nz	ADJ
ejpam-5665	128	18	−	−	PROPN
ejpam-5665	128	19	akℓ0	akℓ0	PROPN
ejpam-5665	128	20	∫	∫	PROPN
ejpam-5665	128	21	t	t	PROPN
ejpam-5665	128	22	0	0	NUM
ejpam-5665	128	23	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	128	24	1	1	NUM
ejpam-5665	128	25	2	2	NUM
ejpam-5665	128	26	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	128	27	.	.	PUNCT
ejpam-5665	129	1	(	(	PUNCT
ejpam-5665	129	2	19	19	NUM
ejpam-5665	129	3	)	)	PUNCT
ejpam-5665	129	4	where	where	SCONJ
ejpam-5665	129	5	j	j	PROPN
ejpam-5665	129	6	(	(	PUNCT
ejpam-5665	129	7	ξ	ξ	PROPN
ejpam-5665	129	8	)	)	PUNCT
ejpam-5665	129	9	indicates	indicate	VERB
ejpam-5665	129	10	one	one	NUM
ejpam-5665	129	11	of	of	ADP
ejpam-5665	129	12	these	these	DET
ejpam-5665	129	13	elliptic	elliptic	ADJ
ejpam-5665	129	14	functions	function	NOUN
ejpam-5665	129	15	:	:	PUNCT
ejpam-5665	129	16	cn(ϖζ	cn(ϖζ	PROPN
ejpam-5665	129	17	,	,	PUNCT
ejpam-5665	129	18	ñ	ñ	PROPN
ejpam-5665	129	19	)	)	PUNCT
ejpam-5665	129	20	,	,	PUNCT
ejpam-5665	129	21	sn(ϖζ	sn(ϖζ	PROPN
ejpam-5665	129	22	,	,	PUNCT
ejpam-5665	129	23	ñ	ñ	PROPN
ejpam-5665	129	24	)	)	PUNCT
ejpam-5665	129	25	or	or	CCONJ
ejpam-5665	129	26	dn(ϖζ	dn(ϖζ	PROPN
ejpam-5665	129	27	,	,	PUNCT
ejpam-5665	129	28	ñ	ñ	PROPN
ejpam-5665	129	29	)	)	PUNCT
ejpam-5665	129	30	.	.	PUNCT
ejpam-5665	130	1	we	we	PRON
ejpam-5665	130	2	have	have	VERB
ejpam-5665	130	3	by	by	ADP
ejpam-5665	130	4	differentiating	differentiate	VERB
ejpam-5665	130	5	eq	eq	PROPN
ejpam-5665	130	6	.	.	PUNCT
ejpam-5665	131	1	(	(	PUNCT
ejpam-5665	131	2	19	19	NUM
ejpam-5665	131	3	)	)	PUNCT
ejpam-5665	131	4	with	with	ADP
ejpam-5665	131	5	respects	respect	NOUN
ejpam-5665	131	6	to	to	ADP
ejpam-5665	131	7	t	t	PROPN
ejpam-5665	131	8	,	,	PUNCT
ejpam-5665	131	9	x	x	PRON
ejpam-5665	131	10	,	,	PUNCT
ejpam-5665	131	11	y	y	PROPN
ejpam-5665	131	12	and	and	CCONJ
ejpam-5665	131	13	z	z	PROPN
ejpam-5665	131	14	:	:	PUNCT
ejpam-5665	132	1	ut	ut	PROPN
ejpam-5665	132	2	=	=	SYM
ejpam-5665	132	3	ȧ0	ȧ0	PROPN
ejpam-5665	132	4	+	+	NUM
ejpam-5665	132	5	ȧ1j	ȧ1j	NOUN
ejpam-5665	132	6	+	+	ADJ
ejpam-5665	132	7	ϖλa1j	ϖλa1j	ADJ
ejpam-5665	132	8	′	′	NUM
ejpam-5665	133	1	+	+	CCONJ
ejpam-5665	133	2	ȧ2j	ȧ2j	NOUN
ejpam-5665	133	3	2	2	NUM
ejpam-5665	133	4	+	+	NUM
ejpam-5665	133	5	2ϖλa2j	2ϖλa2j	NUM
ejpam-5665	133	6	′j	′j	NOUN
ejpam-5665	133	7	,	,	PUNCT
ejpam-5665	133	8	ux	ux	PROPN
ejpam-5665	133	9	=	=	SYM
ejpam-5665	133	10	(	(	PUNCT
ejpam-5665	133	11	ϖka1	ϖka1	PROPN
ejpam-5665	133	12	+	+	CCONJ
ejpam-5665	133	13	2ϖka2j	2ϖka2j	NUM
ejpam-5665	133	14	)	)	PUNCT
ejpam-5665	133	15	j	j	PROPN
ejpam-5665	133	16	′	′	PROPN
ejpam-5665	133	17	,	,	PUNCT
ejpam-5665	133	18	uzz	uzz	PROPN
ejpam-5665	133	19	=	=	PUNCT
ejpam-5665	133	20	n2(a1	n2(a1	PROPN
ejpam-5665	133	21	+	+	CCONJ
ejpam-5665	133	22	2a2)(b1j	2a2)(b1j	NUM
ejpam-5665	134	1	+	+	CCONJ
ejpam-5665	134	2	b2j	b2j	NOUN
ejpam-5665	134	3	3	3	NUM
ejpam-5665	134	4	)	)	PUNCT
ejpam-5665	134	5	+	+	NUM
ejpam-5665	134	6	2ϖ2k2a2j	2ϖ2k2a2j	PROPN
ejpam-5665	134	7	′2	′2	NOUN
ejpam-5665	134	8	,	,	PUNCT
ejpam-5665	134	9	uzzz	uzzz	NOUN
ejpam-5665	134	10	=	=	PUNCT
ejpam-5665	134	11	ϖn3a1(b1	ϖn3a1(b1	NOUN
ejpam-5665	134	12	+	+	NUM
ejpam-5665	134	13	3b2j	3b2j	ADJ
ejpam-5665	134	14	2)j	2)j	NUM
ejpam-5665	134	15	′	′	NUM
ejpam-5665	135	1	+	+	CCONJ
ejpam-5665	135	2	4ϖn3a2(2b1j	4ϖn3a2(2b1j	NUM
ejpam-5665	136	1	+	+	SYM
ejpam-5665	136	2	3b2j	3b2j	ADJ
ejpam-5665	136	3	3)j	3)j	NUM
ejpam-5665	136	4	′	′	NOUN
ejpam-5665	136	5	,	,	PUNCT
ejpam-5665	136	6	uzxx	uzxx	PROPN
ejpam-5665	136	7	=	=	PUNCT
ejpam-5665	136	8	ϖnk2a1(b1	ϖnk2a1(b1	PROPN
ejpam-5665	136	9	+	+	NUM
ejpam-5665	136	10	3b2j	3b2j	ADJ
ejpam-5665	136	11	2)j	2)j	NUM
ejpam-5665	136	12	′	′	NUM
ejpam-5665	137	1	+	+	CCONJ
ejpam-5665	137	2	4ϖnk2a2(2b1j	4ϖnk2a2(2b1j	NUM
ejpam-5665	138	1	+	+	SYM
ejpam-5665	138	2	3b2j	3b2j	ADJ
ejpam-5665	138	3	3)j	3)j	NUM
ejpam-5665	138	4	′	′	NOUN
ejpam-5665	138	5	,	,	PUNCT
ejpam-5665	138	6	uzyy	uzyy	NOUN
ejpam-5665	138	7	=	=	SYM
ejpam-5665	138	8	ϖnm2a1(b1	ϖnm2a1(b1	NOUN
ejpam-5665	139	1	+	+	CCONJ
ejpam-5665	139	2	3b2j	3b2j	ADJ
ejpam-5665	139	3	2)j	2)j	NUM
ejpam-5665	139	4	′	′	NUM
ejpam-5665	140	1	+	+	CCONJ
ejpam-5665	140	2	4ϖnm2a2(2b1j	4ϖnm2a2(2b1j	NUM
ejpam-5665	140	3	+	+	SYM
ejpam-5665	140	4	3b2j	3b2j	ADJ
ejpam-5665	140	5	3)j	3)j	NUM
ejpam-5665	140	6	′	′	NOUN
ejpam-5665	140	7	,	,	PUNCT
ejpam-5665	140	8	uxu	uxu	NOUN
ejpam-5665	140	9	=	=	PUNCT
ejpam-5665	141	1	ϖk(a0a1	ϖk(a0a1	PROPN
ejpam-5665	142	1	+	+	NUM
ejpam-5665	142	2	2a0a2j	2a0a2j	NUM
ejpam-5665	142	3	+	+	CCONJ
ejpam-5665	142	4	a21j	a21j	X
ejpam-5665	142	5	+	+	CCONJ
ejpam-5665	142	6	3a1a2j	3a1a2j	PROPN
ejpam-5665	142	7	2	2	NUM
ejpam-5665	142	8	+	+	NUM
ejpam-5665	142	9	2a22j	2a22j	NUM
ejpam-5665	142	10	3)j	3)j	NUM
ejpam-5665	142	11	′	′	NOUN
ejpam-5665	142	12	,	,	PUNCT
ejpam-5665	142	13	(	(	PUNCT
ejpam-5665	142	14	20	20	NUM
ejpam-5665	142	15	)	)	PUNCT
ejpam-5665	142	16	whereb1	whereb1	PROPN
ejpam-5665	142	17	andb2	andb2	PROPN
ejpam-5665	142	18	are	be	AUX
ejpam-5665	142	19	constants	constant	NOUN
ejpam-5665	142	20	relaying	relay	VERB
ejpam-5665	142	21	onϖ	onϖ	ADJ
ejpam-5665	142	22	,	,	PUNCT
ejpam-5665	142	23	ñ.	ñ.	ADV
ejpam-5665	142	24	they	they	PRON
ejpam-5665	142	25	will	will	AUX
ejpam-5665	142	26	be	be	AUX
ejpam-5665	142	27	described	describe	VERB
ejpam-5665	142	28	later	later	ADV
ejpam-5665	142	29	.	.	PUNCT
ejpam-5665	143	1	substituting	substitute	VERB
ejpam-5665	143	2	eqs	eqs	PROPN
ejpam-5665	143	3	.	.	PUNCT
ejpam-5665	144	1	(	(	PUNCT
ejpam-5665	144	2	19	19	NUM
ejpam-5665	144	3	)	)	PUNCT
ejpam-5665	144	4	and	and	CCONJ
ejpam-5665	144	5	(	(	PUNCT
ejpam-5665	144	6	20	20	NUM
ejpam-5665	144	7	)	)	PUNCT
ejpam-5665	144	8	into	into	ADP
ejpam-5665	144	9	kdve	kdve	PROPN
ejpam-5665	144	10	-	-	PUNCT
ejpam-5665	144	11	rvcs	rvcs	PROPN
ejpam-5665	144	12	(	(	PUNCT
ejpam-5665	144	13	3	3	NUM
ejpam-5665	144	14	)	)	PUNCT
ejpam-5665	144	15	.	.	PUNCT
ejpam-5665	145	1	once	once	ADV
ejpam-5665	145	2	all	all	PRON
ejpam-5665	145	3	of	of	ADP
ejpam-5665	145	4	the	the	DET
ejpam-5665	145	5	coefficients	coefficient	NOUN
ejpam-5665	145	6	in	in	ADP
ejpam-5665	145	7	j	j	PROPN
ejpam-5665	145	8	′j	′j	NOUN
ejpam-5665	145	9	n	n	CCONJ
ejpam-5665	145	10	are	be	AUX
ejpam-5665	145	11	set	set	VERB
ejpam-5665	145	12	to	to	ADP
ejpam-5665	145	13	zero	zero	NUM
ejpam-5665	145	14	,	,	PUNCT
ejpam-5665	145	15	we	we	PRON
ejpam-5665	145	16	obtain	obtain	VERB
ejpam-5665	145	17	j	j	PROPN
ejpam-5665	145	18	0	0	NUM
ejpam-5665	145	19	:	:	PUNCT
ejpam-5665	146	1	ȧ0	ȧ0	PROPN
ejpam-5665	146	2	+	+	CCONJ
ejpam-5665	146	3	1	1	NUM
ejpam-5665	146	4	2	2	NUM
ejpam-5665	146	5	δ2a0	δ2a0	X
ejpam-5665	146	6	=	=	NOUN
ejpam-5665	146	7	0	0	PROPN
ejpam-5665	146	8	,	,	PUNCT
ejpam-5665	146	9	j	j	NOUN
ejpam-5665	146	10	:	:	PUNCT
ejpam-5665	147	1	ȧ1	ȧ1	PROPN
ejpam-5665	147	2	+	+	NOUN
ejpam-5665	147	3	1	1	NUM
ejpam-5665	147	4	2	2	NUM
ejpam-5665	147	5	δ2a1	δ2a1	NOUN
ejpam-5665	147	6	=	=	SYM
ejpam-5665	147	7	0	0	NUM
ejpam-5665	147	8	,	,	PUNCT
ejpam-5665	147	9	w.	w.	PROPN
ejpam-5665	147	10	w.	w.	PROPN
ejpam-5665	147	11	mohammed	mohammed	PROPN
ejpam-5665	147	12	et	et	PROPN
ejpam-5665	147	13	al	al	PROPN
ejpam-5665	147	14	.	.	PUNCT
ejpam-5665	147	15	/	/	SYM
ejpam-5665	147	16	eur	eur	PROPN
ejpam-5665	147	17	.	.	PUNCT
ejpam-5665	148	1	j.	j.	PROPN
ejpam-5665	148	2	pure	pure	PROPN
ejpam-5665	148	3	appl	appl	PROPN
ejpam-5665	148	4	.	.	PROPN
ejpam-5665	148	5	math	math	PROPN
ejpam-5665	148	6	,	,	PUNCT
ejpam-5665	148	7	18	18	NUM
ejpam-5665	148	8	(	(	PUNCT
ejpam-5665	148	9	1	1	NUM
ejpam-5665	148	10	)	)	PUNCT
ejpam-5665	148	11	(	(	PUNCT
ejpam-5665	148	12	2025	2025	NUM
ejpam-5665	148	13	)	)	PUNCT
ejpam-5665	148	14	,	,	PUNCT
ejpam-5665	148	15	5665	5665	NUM
ejpam-5665	148	16	7	7	NUM
ejpam-5665	148	17	of	of	ADP
ejpam-5665	148	18	14	14	NUM
ejpam-5665	148	19	j	j	NOUN
ejpam-5665	148	20	2	2	NUM
ejpam-5665	148	21	:	:	PUNCT
ejpam-5665	149	1	ȧ2	ȧ2	PROPN
ejpam-5665	149	2	+	+	NUM
ejpam-5665	149	3	1	1	NUM
ejpam-5665	149	4	2	2	NUM
ejpam-5665	149	5	δ2a2	δ2a2	NOUN
ejpam-5665	149	6	=	=	SYM
ejpam-5665	149	7	0	0	NUM
ejpam-5665	149	8	,	,	PUNCT
ejpam-5665	149	9	j	j	PROPN
ejpam-5665	149	10	0j	0j	NOUN
ejpam-5665	149	11	′	′	NUM
ejpam-5665	149	12	:	:	PUNCT
ejpam-5665	149	13	ϖa1[λ+	ϖa1[λ+	PROPN
ejpam-5665	149	14	4ℏb1	4ℏb1	PROPN
ejpam-5665	149	15	+	+	CCONJ
ejpam-5665	149	16	ka0a(t	ka0a(t	PROPN
ejpam-5665	149	17	)	)	PUNCT
ejpam-5665	149	18	]	]	PUNCT
ejpam-5665	150	1	=	=	PUNCT
ejpam-5665	150	2	0	0	NUM
ejpam-5665	150	3	,	,	PUNCT
ejpam-5665	150	4	jj	jj	PROPN
ejpam-5665	150	5	′	′	NUM
ejpam-5665	150	6	:	:	PUNCT
ejpam-5665	151	1	2ϖλa2	2ϖλa2	NUM
ejpam-5665	151	2	+	+	CCONJ
ejpam-5665	151	3	8ϖℏa2b1	8ϖℏa2b1	NUM
ejpam-5665	151	4	+	+	ADJ
ejpam-5665	151	5	aϖka21	aϖka21	ADJ
ejpam-5665	151	6	+	+	NUM
ejpam-5665	151	7	2ϖka(t)a0a2	2ϖka(t)a0a2	NOUN
ejpam-5665	151	8	=	=	SYM
ejpam-5665	151	9	0	0	NUM
ejpam-5665	151	10	,	,	PUNCT
ejpam-5665	151	11	j	j	PROPN
ejpam-5665	151	12	2j	2j	NUM
ejpam-5665	151	13	′	′	NUM
ejpam-5665	151	14	:	:	PUNCT
ejpam-5665	151	15	12ϖℏa1b2	12ϖℏa1b2	PROPN
ejpam-5665	151	16	+	+	CCONJ
ejpam-5665	151	17	3ϖka1a2a(t	3ϖka1a2a(t	NUM
ejpam-5665	151	18	)	)	PUNCT
ejpam-5665	151	19	=	=	SYM
ejpam-5665	151	20	0	0	NUM
ejpam-5665	151	21	,	,	PUNCT
ejpam-5665	151	22	and	and	CCONJ
ejpam-5665	151	23	j	j	PROPN
ejpam-5665	151	24	3j	3j	NUM
ejpam-5665	151	25	′	′	NUM
ejpam-5665	151	26	:	:	PUNCT
ejpam-5665	152	1	12ϖℏb2a2	12ϖℏb2a2	NUM
ejpam-5665	152	2	+	+	CCONJ
ejpam-5665	152	3	2ϖka(t)a22	2ϖka(t)a22	NUM
ejpam-5665	152	4	=	=	SYM
ejpam-5665	152	5	0	0	NUM
ejpam-5665	152	6	,	,	PUNCT
ejpam-5665	152	7	where	where	SCONJ
ejpam-5665	152	8	ℏ	ℏ	NOUN
ejpam-5665	152	9	=	=	PUNCT
ejpam-5665	152	10	bn3	bn3	PROPN
ejpam-5665	152	11	+	+	CCONJ
ejpam-5665	152	12	cnk2	cnk2	PROPN
ejpam-5665	152	13	+	+	CCONJ
ejpam-5665	152	14	cnm2	cnm2	NOUN
ejpam-5665	152	15	.	.	PUNCT
ejpam-5665	153	1	solving	solve	VERB
ejpam-5665	153	2	these	these	DET
ejpam-5665	153	3	equations	equation	NOUN
ejpam-5665	153	4	yields	yield	VERB
ejpam-5665	153	5	a0(t	a0(t	PRON
ejpam-5665	153	6	)	)	PUNCT
ejpam-5665	153	7	=	=	PUNCT
ejpam-5665	154	1	ℓ0e	ℓ0e	PROPN
ejpam-5665	154	2	−	−	NUM
ejpam-5665	154	3	1	1	NUM
ejpam-5665	154	4	2	2	NUM
ejpam-5665	154	5	δ2	δ2	VERB
ejpam-5665	154	6	t	t	PROPN
ejpam-5665	154	7	,	,	PUNCT
ejpam-5665	154	8	a1	a1	NOUN
ejpam-5665	154	9	=	=	SYM
ejpam-5665	154	10	0	0	NUM
ejpam-5665	154	11	,	,	PUNCT
ejpam-5665	154	12	a2(t	a2(t	NOUN
ejpam-5665	154	13	)	)	PUNCT
ejpam-5665	154	14	=	=	PUNCT
ejpam-5665	155	1	ℓ2e	ℓ2e	PRON
ejpam-5665	155	2	−	−	NUM
ejpam-5665	155	3	1	1	NUM
ejpam-5665	155	4	2	2	NUM
ejpam-5665	155	5	δ2	δ2	VERB
ejpam-5665	155	6	t	t	PROPN
ejpam-5665	155	7	,	,	PUNCT
ejpam-5665	155	8	ℏ	ℏ	PROPN
ejpam-5665	155	9	=	=	SYM
ejpam-5665	155	10	−ℓ2ka(t	−ℓ2ka(t	PROPN
ejpam-5665	155	11	)	)	PUNCT
ejpam-5665	155	12	6b2	6b2	NUM
ejpam-5665	155	13	e−	e−	PROPN
ejpam-5665	155	14	1	1	NUM
ejpam-5665	155	15	2	2	NUM
ejpam-5665	155	16	δ2	δ2	VERB
ejpam-5665	155	17	t	t	PROPN
ejpam-5665	155	18	,	,	PUNCT
ejpam-5665	155	19	and	and	CCONJ
ejpam-5665	155	20	λ(t	λ(t	NOUN
ejpam-5665	155	21	)	)	PUNCT
ejpam-5665	156	1	=	=	SYM
ejpam-5665	156	2	k	k	X
ejpam-5665	156	3	(	(	PUNCT
ejpam-5665	156	4	2ℓ2b1	2ℓ2b1	NOUN
ejpam-5665	156	5	3b2	3b2	NUM
ejpam-5665	156	6	−	−	NOUN
ejpam-5665	156	7	ℓ0)a(t)e−	ℓ0)a(t)e−	NOUN
ejpam-5665	156	8	1	1	NUM
ejpam-5665	156	9	2	2	NUM
ejpam-5665	156	10	δ2	δ2	VERB
ejpam-5665	156	11	t	t	PROPN
ejpam-5665	156	12	,	,	PUNCT
ejpam-5665	156	13	where	where	SCONJ
ejpam-5665	156	14	ℓ0	ℓ0	PROPN
ejpam-5665	156	15	and	and	CCONJ
ejpam-5665	156	16	ℓ2	ℓ2	NOUN
ejpam-5665	156	17	are	be	AUX
ejpam-5665	156	18	constants	constant	NOUN
ejpam-5665	156	19	.	.	PUNCT
ejpam-5665	157	1	therefore	therefore	ADV
ejpam-5665	157	2	,	,	PUNCT
ejpam-5665	157	3	the	the	DET
ejpam-5665	157	4	solution	solution	NOUN
ejpam-5665	157	5	of	of	ADP
ejpam-5665	157	6	the	the	DET
ejpam-5665	157	7	qzke	qzke	NOUN
ejpam-5665	157	8	-	-	PUNCT
ejpam-5665	157	9	rvcs	rvcs	PROPN
ejpam-5665	157	10	(	(	PUNCT
ejpam-5665	157	11	3	3	X
ejpam-5665	157	12	)	)	PUNCT
ejpam-5665	157	13	is	be	AUX
ejpam-5665	157	14	u(x	u(x	NOUN
ejpam-5665	157	15	,	,	PUNCT
ejpam-5665	157	16	y	y	PROPN
ejpam-5665	157	17	,	,	PUNCT
ejpam-5665	157	18	z	z	PROPN
ejpam-5665	157	19	,	,	PUNCT
ejpam-5665	157	20	t	t	PROPN
ejpam-5665	157	21	)	)	PUNCT
ejpam-5665	157	22	=	=	PUNCT
ejpam-5665	158	1	[	[	X
ejpam-5665	158	2	ℓ0+ℓ2j	ℓ0+ℓ2j	NUM
ejpam-5665	158	3	2(ζ)]e−	2(ζ)]e−	NUM
ejpam-5665	158	4	1	1	NUM
ejpam-5665	158	5	2	2	NUM
ejpam-5665	158	6	δ2	δ2	VERB
ejpam-5665	158	7	t	t	NOUN
ejpam-5665	158	8	,	,	PUNCT
ejpam-5665	158	9	ζ	ζ	NOUN
ejpam-5665	158	10	=	=	SYM
ejpam-5665	158	11	ϖkx+ϖmy+ϖnz+k	ϖkx+ϖmy+ϖnz+k	NOUN
ejpam-5665	158	12	(	(	PUNCT
ejpam-5665	158	13	2ℓ2b1	2ℓ2b1	PROPN
ejpam-5665	158	14	3b2	3b2	NUM
ejpam-5665	158	15	−ℓ0	−ℓ0	NOUN
ejpam-5665	158	16	)	)	PUNCT
ejpam-5665	158	17	∫	∫	PROPN
ejpam-5665	159	1	t	t	PROPN
ejpam-5665	159	2	0	0	NUM
ejpam-5665	159	3	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	159	4	1	1	NUM
ejpam-5665	159	5	2	2	NUM
ejpam-5665	159	6	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	159	7	.	.	PUNCT
ejpam-5665	160	1	(	(	PUNCT
ejpam-5665	160	2	21	21	NUM
ejpam-5665	160	3	)	)	PUNCT
ejpam-5665	160	4	in	in	ADP
ejpam-5665	160	5	the	the	DET
ejpam-5665	160	6	following	following	NOUN
ejpam-5665	160	7	,	,	PUNCT
ejpam-5665	160	8	we	we	PRON
ejpam-5665	160	9	define	define	VERB
ejpam-5665	160	10	j	j	PROPN
ejpam-5665	160	11	(	(	PUNCT
ejpam-5665	160	12	ζ	ζ	NOUN
ejpam-5665	160	13	)	)	PUNCT
ejpam-5665	160	14	as	as	ADP
ejpam-5665	160	15	:	:	PUNCT
ejpam-5665	160	16	set	set	NOUN
ejpam-5665	160	17	1	1	NUM
ejpam-5665	160	18	:	:	PUNCT
ejpam-5665	160	19	when	when	SCONJ
ejpam-5665	160	20	j	j	PROPN
ejpam-5665	160	21	(	(	PUNCT
ejpam-5665	160	22	ζ	ζ	NOUN
ejpam-5665	160	23	)	)	PUNCT
ejpam-5665	160	24	=	=	SYM
ejpam-5665	160	25	sn(ϖζ	sn(ϖζ	PROPN
ejpam-5665	160	26	,	,	PUNCT
ejpam-5665	160	27	ñ	ñ	PROPN
ejpam-5665	160	28	)	)	PUNCT
ejpam-5665	160	29	,	,	PUNCT
ejpam-5665	160	30	hence	hence	ADV
ejpam-5665	160	31	eq	eq	NOUN
ejpam-5665	160	32	.	.	PUNCT
ejpam-5665	160	33	(	(	PUNCT
ejpam-5665	160	34	21	21	NUM
ejpam-5665	160	35	)	)	PUNCT
ejpam-5665	160	36	becomes	become	VERB
ejpam-5665	160	37	u(x	u(x	NOUN
ejpam-5665	160	38	,	,	PUNCT
ejpam-5665	160	39	y	y	PROPN
ejpam-5665	160	40	,	,	PUNCT
ejpam-5665	160	41	z	z	PROPN
ejpam-5665	160	42	,	,	PUNCT
ejpam-5665	160	43	t	t	PROPN
ejpam-5665	160	44	)	)	PUNCT
ejpam-5665	160	45	=	=	PUNCT
ejpam-5665	161	1	(	(	PUNCT
ejpam-5665	161	2	ℓ0	ℓ0	INTJ
ejpam-5665	161	3	+	+	CCONJ
ejpam-5665	161	4	ℓ2	ℓ2	NOUN
ejpam-5665	161	5	(	(	PUNCT
ejpam-5665	161	6	sn(ϖkx+ϖmy	sn(ϖkx+ϖmy	PROPN
ejpam-5665	161	7	+	+	PROPN
ejpam-5665	161	8	ϖnz	ϖnz	ADJ
ejpam-5665	161	9	+	+	ADJ
ejpam-5665	161	10	kϖ	kϖ	NOUN
ejpam-5665	161	11	(	(	PUNCT
ejpam-5665	161	12	2ℓ2b1	2ℓ2b1	NUM
ejpam-5665	161	13	3b2	3b2	NUM
ejpam-5665	161	14	−	−	NOUN
ejpam-5665	162	1	ℓ0	ℓ0	ADV
ejpam-5665	162	2	)	)	PUNCT
ejpam-5665	163	1	∫	∫	PROPN
ejpam-5665	163	2	t	t	PROPN
ejpam-5665	163	3	0	0	NUM
ejpam-5665	163	4	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	163	5	1	1	NUM
ejpam-5665	163	6	2	2	NUM
ejpam-5665	163	7	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	163	8	,	,	PUNCT
ejpam-5665	163	9	ñ	ñ	PROPN
ejpam-5665	163	10	)	)	PUNCT
ejpam-5665	163	11	)	)	PUNCT
ejpam-5665	163	12	2	2	X
ejpam-5665	163	13	)	)	PUNCT
ejpam-5665	163	14	e−	e−	PUNCT
ejpam-5665	163	15	1	1	NUM
ejpam-5665	163	16	2	2	NUM
ejpam-5665	163	17	δ2	δ2	VERB
ejpam-5665	163	18	t	t	PROPN
ejpam-5665	163	19	,	,	PUNCT
ejpam-5665	163	20	(	(	PUNCT
ejpam-5665	163	21	22	22	NUM
ejpam-5665	163	22	)	)	PUNCT
ejpam-5665	163	23	where	where	SCONJ
ejpam-5665	163	24	b1	b1	NOUN
ejpam-5665	163	25	=	=	SYM
ejpam-5665	163	26	−ϖ2(1	−ϖ2(1	PROPN
ejpam-5665	163	27	+	+	CCONJ
ejpam-5665	163	28	ñ2	ñ2	NUM
ejpam-5665	163	29	)	)	PUNCT
ejpam-5665	163	30	and	and	CCONJ
ejpam-5665	163	31	b2	b2	NOUN
ejpam-5665	163	32	=	=	SYM
ejpam-5665	163	33	2ϖ2ñ2	2ϖ2ñ2	NUM
ejpam-5665	163	34	.	.	PUNCT
ejpam-5665	164	1	set	set	VERB
ejpam-5665	164	2	2	2	NUM
ejpam-5665	164	3	:	:	PUNCT
ejpam-5665	164	4	when	when	SCONJ
ejpam-5665	164	5	j	j	PROPN
ejpam-5665	164	6	(	(	PUNCT
ejpam-5665	164	7	ζ	ζ	NOUN
ejpam-5665	164	8	)	)	PUNCT
ejpam-5665	164	9	=	=	SYM
ejpam-5665	164	10	cn(ϖζ	cn(ϖζ	PROPN
ejpam-5665	164	11	,	,	PUNCT
ejpam-5665	164	12	ñ	ñ	PROPN
ejpam-5665	164	13	)	)	PUNCT
ejpam-5665	164	14	,	,	PUNCT
ejpam-5665	164	15	hence	hence	ADV
ejpam-5665	164	16	eq	eq	NOUN
ejpam-5665	164	17	.	.	PUNCT
ejpam-5665	165	1	(	(	PUNCT
ejpam-5665	165	2	21	21	NUM
ejpam-5665	165	3	)	)	PUNCT
ejpam-5665	165	4	becomes	become	VERB
ejpam-5665	165	5	u(x	u(x	NOUN
ejpam-5665	165	6	,	,	PUNCT
ejpam-5665	165	7	y	y	PROPN
ejpam-5665	165	8	,	,	PUNCT
ejpam-5665	165	9	z	z	PROPN
ejpam-5665	165	10	,	,	PUNCT
ejpam-5665	165	11	t	t	PROPN
ejpam-5665	165	12	)	)	PUNCT
ejpam-5665	165	13	=	=	PUNCT
ejpam-5665	166	1	(	(	PUNCT
ejpam-5665	166	2	ℓ0	ℓ0	INTJ
ejpam-5665	166	3	+	+	CCONJ
ejpam-5665	166	4	ℓ2	ℓ2	PROPN
ejpam-5665	166	5	(	(	PUNCT
ejpam-5665	166	6	cn(ϖkx+ϖmy	cn(ϖkx+ϖmy	PROPN
ejpam-5665	166	7	+	+	PROPN
ejpam-5665	166	8	ϖnz	ϖnz	PROPN
ejpam-5665	166	9	−kϖ	−kϖ	X
ejpam-5665	166	10	(	(	PUNCT
ejpam-5665	166	11	2ℓ2b1	2ℓ2b1	NUM
ejpam-5665	166	12	3b2	3b2	NUM
ejpam-5665	166	13	+	+	CCONJ
ejpam-5665	166	14	ℓ0	ℓ0	ADV
ejpam-5665	166	15	)	)	PUNCT
ejpam-5665	166	16	∫	∫	PROPN
ejpam-5665	167	1	t	t	PROPN
ejpam-5665	167	2	0	0	NUM
ejpam-5665	167	3	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	167	4	1	1	NUM
ejpam-5665	167	5	2	2	NUM
ejpam-5665	167	6	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	167	7	,	,	PUNCT
ejpam-5665	167	8	ñ	ñ	PROPN
ejpam-5665	167	9	)	)	PUNCT
ejpam-5665	167	10	)	)	PUNCT
ejpam-5665	167	11	2	2	X
ejpam-5665	167	12	)	)	PUNCT
ejpam-5665	167	13	e−	e−	PUNCT
ejpam-5665	167	14	1	1	NUM
ejpam-5665	167	15	2	2	NUM
ejpam-5665	167	16	δ2	δ2	VERB
ejpam-5665	167	17	t	t	PROPN
ejpam-5665	167	18	,	,	PUNCT
ejpam-5665	167	19	(	(	PUNCT
ejpam-5665	167	20	23	23	NUM
ejpam-5665	167	21	)	)	PUNCT
ejpam-5665	167	22	where	where	SCONJ
ejpam-5665	167	23	b1	b1	NOUN
ejpam-5665	167	24	=	=	SYM
ejpam-5665	167	25	ϖ2(1−	ϖ2(1−	PUNCT
ejpam-5665	167	26	2ñ2	2ñ2	NUM
ejpam-5665	167	27	)	)	PUNCT
ejpam-5665	167	28	and	and	CCONJ
ejpam-5665	167	29	b2	b2	NOUN
ejpam-5665	167	30	=	=	SYM
ejpam-5665	167	31	−2ϖ2ñ2	−2ϖ2ñ2	PROPN
ejpam-5665	167	32	.	.	PUNCT
ejpam-5665	168	1	set	set	VERB
ejpam-5665	168	2	3	3	NUM
ejpam-5665	168	3	:	:	PUNCT
ejpam-5665	168	4	when	when	SCONJ
ejpam-5665	168	5	j	j	PROPN
ejpam-5665	168	6	(	(	PUNCT
ejpam-5665	168	7	ζ	ζ	NOUN
ejpam-5665	168	8	)	)	PUNCT
ejpam-5665	168	9	=	=	SYM
ejpam-5665	168	10	dn(ϖζ	dn(ϖζ	PROPN
ejpam-5665	168	11	,	,	PUNCT
ejpam-5665	168	12	ñ	ñ	PROPN
ejpam-5665	168	13	)	)	PUNCT
ejpam-5665	168	14	,	,	PUNCT
ejpam-5665	168	15	hence	hence	ADV
ejpam-5665	168	16	eq	eq	NOUN
ejpam-5665	168	17	.	.	PUNCT
ejpam-5665	169	1	(	(	PUNCT
ejpam-5665	169	2	21	21	NUM
ejpam-5665	169	3	)	)	PUNCT
ejpam-5665	169	4	becomes	become	VERB
ejpam-5665	169	5	u(x	u(x	NOUN
ejpam-5665	169	6	,	,	PUNCT
ejpam-5665	169	7	y	y	PROPN
ejpam-5665	169	8	,	,	PUNCT
ejpam-5665	169	9	z	z	PROPN
ejpam-5665	169	10	,	,	PUNCT
ejpam-5665	169	11	t	t	PROPN
ejpam-5665	169	12	)	)	PUNCT
ejpam-5665	169	13	=	=	PUNCT
ejpam-5665	170	1	(	(	PUNCT
ejpam-5665	170	2	ℓ0	ℓ0	INTJ
ejpam-5665	170	3	+	+	CCONJ
ejpam-5665	170	4	ℓ2	ℓ2	NOUN
ejpam-5665	170	5	(	(	PUNCT
ejpam-5665	170	6	dn(ϖkx+ϖmy	dn(ϖkx+ϖmy	PROPN
ejpam-5665	170	7	+	+	NOUN
ejpam-5665	170	8	ϖnz	ϖnz	ADJ
ejpam-5665	170	9	+	+	ADJ
ejpam-5665	170	10	kϖ	kϖ	NOUN
ejpam-5665	170	11	(	(	PUNCT
ejpam-5665	170	12	2ℓ2b1	2ℓ2b1	NUM
ejpam-5665	170	13	3b2	3b2	NUM
ejpam-5665	170	14	−	−	NOUN
ejpam-5665	170	15	ℓ0	ℓ0	ADV
ejpam-5665	170	16	)	)	PUNCT
ejpam-5665	170	17	∫	∫	PROPN
ejpam-5665	171	1	t	t	PROPN
ejpam-5665	171	2	0	0	NUM
ejpam-5665	171	3	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	171	4	1	1	NUM
ejpam-5665	171	5	2	2	NUM
ejpam-5665	171	6	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	171	7	,	,	PUNCT
ejpam-5665	171	8	ñ	ñ	PROPN
ejpam-5665	171	9	)	)	PUNCT
ejpam-5665	171	10	)	)	PUNCT
ejpam-5665	171	11	2	2	X
ejpam-5665	171	12	)	)	PUNCT
ejpam-5665	171	13	e−	e−	PUNCT
ejpam-5665	171	14	1	1	NUM
ejpam-5665	171	15	2	2	NUM
ejpam-5665	171	16	δ2	δ2	VERB
ejpam-5665	171	17	t	t	PROPN
ejpam-5665	171	18	,	,	PUNCT
ejpam-5665	171	19	(	(	PUNCT
ejpam-5665	171	20	24	24	NUM
ejpam-5665	171	21	)	)	PUNCT
ejpam-5665	171	22	where	where	SCONJ
ejpam-5665	171	23	b1	b1	NOUN
ejpam-5665	171	24	=	=	NOUN
ejpam-5665	171	25	ϖ2(2−	ϖ2(2−	NOUN
ejpam-5665	171	26	ñ2	ñ2	PROPN
ejpam-5665	171	27	)	)	PUNCT
ejpam-5665	171	28	and	and	CCONJ
ejpam-5665	171	29	b2	b2	NOUN
ejpam-5665	171	30	=	=	SYM
ejpam-5665	171	31	2ϖ2	2ϖ2	PROPN
ejpam-5665	171	32	.	.	PUNCT
ejpam-5665	172	1	w.	w.	PROPN
ejpam-5665	172	2	w.	w.	PROPN
ejpam-5665	172	3	mohammed	mohammed	PROPN
ejpam-5665	172	4	et	et	PROPN
ejpam-5665	172	5	al	al	PROPN
ejpam-5665	172	6	.	.	PUNCT
ejpam-5665	172	7	/	/	SYM
ejpam-5665	172	8	eur	eur	PROPN
ejpam-5665	172	9	.	.	PUNCT
ejpam-5665	173	1	j.	j.	PROPN
ejpam-5665	173	2	pure	pure	PROPN
ejpam-5665	173	3	appl	appl	PROPN
ejpam-5665	173	4	.	.	PROPN
ejpam-5665	173	5	math	math	PROPN
ejpam-5665	173	6	,	,	PUNCT
ejpam-5665	173	7	18	18	NUM
ejpam-5665	173	8	(	(	PUNCT
ejpam-5665	173	9	1	1	NUM
ejpam-5665	173	10	)	)	PUNCT
ejpam-5665	173	11	(	(	PUNCT
ejpam-5665	173	12	2025	2025	NUM
ejpam-5665	173	13	)	)	PUNCT
ejpam-5665	173	14	,	,	PUNCT
ejpam-5665	173	15	5665	5665	NUM
ejpam-5665	173	16	8	8	NUM
ejpam-5665	173	17	of	of	ADP
ejpam-5665	173	18	14	14	NUM
ejpam-5665	173	19	3	3	NUM
ejpam-5665	173	20	.	.	PUNCT
ejpam-5665	173	21	exact	exact	ADJ
ejpam-5665	173	22	solutions	solution	NOUN
ejpam-5665	173	23	of	of	ADP
ejpam-5665	173	24	sqzke	sqzke	NOUN
ejpam-5665	173	25	we	we	PRON
ejpam-5665	173	26	use	use	VERB
ejpam-5665	173	27	previously	previously	ADV
ejpam-5665	173	28	results	result	NOUN
ejpam-5665	173	29	and	and	CCONJ
ejpam-5665	173	30	the	the	DET
ejpam-5665	173	31	transformation	transformation	NOUN
ejpam-5665	173	32	(	(	PUNCT
ejpam-5665	173	33	2	2	NUM
ejpam-5665	173	34	)	)	PUNCT
ejpam-5665	173	35	to	to	PART
ejpam-5665	173	36	acquire	acquire	VERB
ejpam-5665	173	37	the	the	DET
ejpam-5665	173	38	solutions	solution	NOUN
ejpam-5665	173	39	of	of	ADP
ejpam-5665	173	40	sqzke	sqzke	NOUN
ejpam-5665	173	41	(	(	PUNCT
ejpam-5665	173	42	1	1	NUM
ejpam-5665	173	43	)	)	PUNCT
ejpam-5665	173	44	as	as	SCONJ
ejpam-5665	173	45	follows	follow	VERB
ejpam-5665	173	46	:	:	PUNCT
ejpam-5665	173	47	3.1	3.1	NUM
ejpam-5665	173	48	.	.	PUNCT
ejpam-5665	173	49	metf	metf	NOUN
ejpam-5665	173	50	-	-	PUNCT
ejpam-5665	173	51	method	method	NOUN
ejpam-5665	173	52	putting	put	VERB
ejpam-5665	173	53	eq	eq	NOUN
ejpam-5665	173	54	.	.	PUNCT
ejpam-5665	174	1	(	(	PUNCT
ejpam-5665	174	2	8)	8)	NUM
ejpam-5665	174	3	into	into	ADP
ejpam-5665	174	4	eq	eq	NOUN
ejpam-5665	174	5	.	.	PUNCT
ejpam-5665	175	1	(	(	PUNCT
ejpam-5665	175	2	2	2	NUM
ejpam-5665	175	3	)	)	PUNCT
ejpam-5665	175	4	,	,	PUNCT
ejpam-5665	175	5	we	we	PRON
ejpam-5665	175	6	have	have	VERB
ejpam-5665	175	7	the	the	DET
ejpam-5665	175	8	solution	solution	NOUN
ejpam-5665	175	9	of	of	ADP
ejpam-5665	175	10	sqzke	sqzke	NOUN
ejpam-5665	175	11	(	(	PUNCT
ejpam-5665	175	12	1	1	NUM
ejpam-5665	175	13	)	)	PUNCT
ejpam-5665	175	14	as	as	ADP
ejpam-5665	175	15	g(x	g(x	PROPN
ejpam-5665	175	16	,	,	PUNCT
ejpam-5665	175	17	y	y	PROPN
ejpam-5665	175	18	,	,	PUNCT
ejpam-5665	175	19	z	z	PROPN
ejpam-5665	175	20	,	,	PUNCT
ejpam-5665	175	21	t	t	PROPN
ejpam-5665	175	22	)	)	PUNCT
ejpam-5665	175	23	=	=	SYM
ejpam-5665	175	24	u(ξ)eδb(t	u(ξ)eδb(t	NOUN
ejpam-5665	175	25	)	)	PUNCT
ejpam-5665	175	26	,	,	PUNCT
ejpam-5665	175	27	ξ	ξ	X
ejpam-5665	175	28	=	=	SYM
ejpam-5665	175	29	kx+my	kx+my	X
ejpam-5665	175	30	+	+	CCONJ
ejpam-5665	175	31	nz	nz	ADJ
ejpam-5665	175	32	−	−	PROPN
ejpam-5665	175	33	akℓ0	akℓ0	PROPN
ejpam-5665	175	34	∫	∫	PROPN
ejpam-5665	175	35	t	t	PROPN
ejpam-5665	175	36	0	0	NUM
ejpam-5665	176	1	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	176	2	1	1	NUM
ejpam-5665	176	3	2	2	NUM
ejpam-5665	176	4	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	176	5	.	.	PUNCT
ejpam-5665	177	1	(	(	PUNCT
ejpam-5665	177	2	25	25	NUM
ejpam-5665	177	3	)	)	PUNCT
ejpam-5665	177	4	when	when	SCONJ
ejpam-5665	177	5	p	p	NOUN
ejpam-5665	177	6	>	>	X
ejpam-5665	177	7	0	0	NUM
ejpam-5665	177	8	,	,	PUNCT
ejpam-5665	177	9	hence	hence	ADV
ejpam-5665	177	10	the	the	DET
ejpam-5665	177	11	trigonometric	trigonometric	ADJ
ejpam-5665	177	12	function	function	NOUN
ejpam-5665	177	13	solutions	solution	NOUN
ejpam-5665	177	14	of	of	ADP
ejpam-5665	177	15	the	the	DET
ejpam-5665	177	16	sqzke	sqzke	NOUN
ejpam-5665	177	17	(	(	PUNCT
ejpam-5665	177	18	1	1	NUM
ejpam-5665	177	19	)	)	PUNCT
ejpam-5665	177	20	,	,	PUNCT
ejpam-5665	177	21	utilizing	utilize	VERB
ejpam-5665	177	22	(	(	PUNCT
ejpam-5665	177	23	9)(13	9)(13	NUM
ejpam-5665	177	24	)	)	PUNCT
ejpam-5665	177	25	,	,	PUNCT
ejpam-5665	177	26	are	be	AUX
ejpam-5665	177	27	:	:	PUNCT
ejpam-5665	177	28	g1(x	g1(x	NOUN
ejpam-5665	177	29	,	,	PUNCT
ejpam-5665	177	30	y	y	PROPN
ejpam-5665	177	31	,	,	PUNCT
ejpam-5665	177	32	z	z	PROPN
ejpam-5665	177	33	,	,	PUNCT
ejpam-5665	177	34	t	t	PROPN
ejpam-5665	177	35	)	)	PUNCT
ejpam-5665	177	36	=	=	PUNCT
ejpam-5665	178	1	(	(	PUNCT
ejpam-5665	178	2	ℓ0	ℓ0	INTJ
ejpam-5665	178	3	+	+	CCONJ
ejpam-5665	178	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	178	5	tan	tan	ADJ
ejpam-5665	178	6	2	2	NUM
ejpam-5665	178	7	(	(	PUNCT
ejpam-5665	178	8	√	√	NUM
ejpam-5665	178	9	pξ	pξ	NOUN
ejpam-5665	178	10	)	)	PUNCT
ejpam-5665	178	11	)	)	PUNCT
ejpam-5665	179	1	e[δb(t)−	e[δb(t)−	PROPN
ejpam-5665	179	2	1	1	NUM
ejpam-5665	179	3	2	2	NUM
ejpam-5665	179	4	δ2	δ2	VERB
ejpam-5665	179	5	t	t	NOUN
ejpam-5665	179	6	]	]	PUNCT
ejpam-5665	179	7	,	,	PUNCT
ejpam-5665	179	8	(	(	PUNCT
ejpam-5665	179	9	26	26	NUM
ejpam-5665	179	10	)	)	PUNCT
ejpam-5665	179	11	g2(x	g2(x	PROPN
ejpam-5665	179	12	,	,	PUNCT
ejpam-5665	179	13	y	y	PROPN
ejpam-5665	179	14	,	,	PUNCT
ejpam-5665	179	15	z	z	PROPN
ejpam-5665	179	16	,	,	PUNCT
ejpam-5665	179	17	t	t	PROPN
ejpam-5665	179	18	)	)	PUNCT
ejpam-5665	179	19	=	=	PUNCT
ejpam-5665	180	1	(	(	PUNCT
ejpam-5665	180	2	ℓ0	ℓ0	ADV
ejpam-5665	180	3	−	−	PROPN
ejpam-5665	180	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	180	5	cot	cot	NOUN
ejpam-5665	180	6	2	2	NUM
ejpam-5665	180	7	(	(	PUNCT
ejpam-5665	180	8	√	√	NUM
ejpam-5665	180	9	pξ	pξ	NOUN
ejpam-5665	180	10	)	)	PUNCT
ejpam-5665	180	11	)	)	PUNCT
ejpam-5665	181	1	e[δb(t)−	e[δb(t)−	PROPN
ejpam-5665	181	2	1	1	NUM
ejpam-5665	181	3	2	2	NUM
ejpam-5665	181	4	δ2	δ2	VERB
ejpam-5665	181	5	t	t	NOUN
ejpam-5665	181	6	]	]	PUNCT
ejpam-5665	181	7	,	,	PUNCT
ejpam-5665	181	8	(	(	PUNCT
ejpam-5665	181	9	27	27	NUM
ejpam-5665	181	10	)	)	PUNCT
ejpam-5665	181	11	g3(x	g3(x	PROPN
ejpam-5665	181	12	,	,	PUNCT
ejpam-5665	181	13	y	y	PROPN
ejpam-5665	181	14	,	,	PUNCT
ejpam-5665	181	15	z	z	PROPN
ejpam-5665	181	16	,	,	PUNCT
ejpam-5665	181	17	t	t	PROPN
ejpam-5665	181	18	)	)	PUNCT
ejpam-5665	181	19	=	=	PUNCT
ejpam-5665	182	1	(	(	PUNCT
ejpam-5665	182	2	ℓ0	ℓ0	ADV
ejpam-5665	182	3	+	+	CCONJ
ejpam-5665	182	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	182	5	(	(	PUNCT
ejpam-5665	182	6	tan	tan	PROPN
ejpam-5665	182	7	(	(	PUNCT
ejpam-5665	182	8	√	√	PROPN
ejpam-5665	182	9	4pξ)±	4pξ)±	NUM
ejpam-5665	182	10	sec	sec	PROPN
ejpam-5665	182	11	(	(	PUNCT
ejpam-5665	182	12	√	√	NUM
ejpam-5665	182	13	4pξ	4pξ	NOUN
ejpam-5665	182	14	)	)	PUNCT
ejpam-5665	182	15	)	)	PUNCT
ejpam-5665	182	16	2	2	X
ejpam-5665	182	17	)	)	PUNCT
ejpam-5665	182	18	e[δb(t)−	e[δb(t)−	PROPN
ejpam-5665	182	19	1	1	NUM
ejpam-5665	182	20	2	2	NUM
ejpam-5665	182	21	δ2	δ2	VERB
ejpam-5665	182	22	t	t	NOUN
ejpam-5665	182	23	]	]	PUNCT
ejpam-5665	182	24	,	,	PUNCT
ejpam-5665	182	25	(	(	PUNCT
ejpam-5665	182	26	28	28	NUM
ejpam-5665	182	27	)	)	PUNCT
ejpam-5665	182	28	g4(x	g4(x	PROPN
ejpam-5665	182	29	,	,	PUNCT
ejpam-5665	182	30	y	y	PROPN
ejpam-5665	182	31	,	,	PUNCT
ejpam-5665	182	32	z	z	PROPN
ejpam-5665	182	33	,	,	PUNCT
ejpam-5665	182	34	t	t	PROPN
ejpam-5665	182	35	)	)	PUNCT
ejpam-5665	182	36	=	=	PUNCT
ejpam-5665	182	37	(	(	PUNCT
ejpam-5665	182	38	ℓ0	ℓ0	ADV
ejpam-5665	182	39	−	−	PROPN
ejpam-5665	182	40	ℓ2p	ℓ2p	PROPN
ejpam-5665	182	41	(	(	PUNCT
ejpam-5665	182	42	cot	cot	NOUN
ejpam-5665	182	43	(	(	PUNCT
ejpam-5665	182	44	√	√	PROPN
ejpam-5665	182	45	4pξ)±	4pξ)±	NUM
ejpam-5665	182	46	csc	csc	PROPN
ejpam-5665	182	47	(	(	PUNCT
ejpam-5665	182	48	√	√	NUM
ejpam-5665	182	49	4pξ	4pξ	NOUN
ejpam-5665	182	50	)	)	PUNCT
ejpam-5665	182	51	)	)	PUNCT
ejpam-5665	182	52	2	2	X
ejpam-5665	182	53	)	)	PUNCT
ejpam-5665	182	54	e[δb(t)−	e[δb(t)−	PROPN
ejpam-5665	182	55	1	1	NUM
ejpam-5665	182	56	2	2	NUM
ejpam-5665	182	57	δ2	δ2	VERB
ejpam-5665	182	58	t	t	NOUN
ejpam-5665	182	59	]	]	PUNCT
ejpam-5665	182	60	,	,	PUNCT
ejpam-5665	182	61	(	(	PUNCT
ejpam-5665	182	62	29	29	NUM
ejpam-5665	182	63	)	)	PUNCT
ejpam-5665	182	64	g5(x	g5(x	NOUN
ejpam-5665	182	65	,	,	PUNCT
ejpam-5665	182	66	y	y	PROPN
ejpam-5665	182	67	,	,	PUNCT
ejpam-5665	182	68	z	z	PROPN
ejpam-5665	182	69	,	,	PUNCT
ejpam-5665	182	70	t	t	PROPN
ejpam-5665	182	71	)	)	PUNCT
ejpam-5665	182	72	=	=	PUNCT
ejpam-5665	183	1	(	(	PUNCT
ejpam-5665	183	2	ℓ0	ℓ0	ADV
ejpam-5665	183	3	+	+	CCONJ
ejpam-5665	183	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	183	5	2	2	NUM
ejpam-5665	183	6	(	(	PUNCT
ejpam-5665	183	7	tan	tan	PROPN
ejpam-5665	183	8	(	(	PUNCT
ejpam-5665	183	9	1	1	NUM
ejpam-5665	183	10	2	2	NUM
ejpam-5665	183	11	√	√	PROPN
ejpam-5665	183	12	pξ)−	pξ)−	X
ejpam-5665	183	13	cot	cot	NOUN
ejpam-5665	183	14	(	(	PUNCT
ejpam-5665	183	15	1	1	NUM
ejpam-5665	183	16	2	2	NUM
ejpam-5665	183	17	√	√	NUM
ejpam-5665	183	18	pξ	pξ	NOUN
ejpam-5665	183	19	)	)	PUNCT
ejpam-5665	183	20	)	)	PUNCT
ejpam-5665	183	21	2	2	X
ejpam-5665	183	22	)	)	PUNCT
ejpam-5665	183	23	e[δb(t)−	e[δb(t)−	PROPN
ejpam-5665	183	24	1	1	NUM
ejpam-5665	183	25	2	2	NUM
ejpam-5665	183	26	δ2	δ2	VERB
ejpam-5665	183	27	t	t	NOUN
ejpam-5665	183	28	]	]	PUNCT
ejpam-5665	183	29	,	,	PUNCT
ejpam-5665	183	30	(	(	PUNCT
ejpam-5665	183	31	30	30	NUM
ejpam-5665	183	32	)	)	PUNCT
ejpam-5665	183	33	while	while	SCONJ
ejpam-5665	183	34	,	,	PUNCT
ejpam-5665	183	35	if	if	SCONJ
ejpam-5665	183	36	p	p	X
ejpam-5665	183	37	<	<	X
ejpam-5665	183	38	0	0	NUM
ejpam-5665	183	39	,	,	PUNCT
ejpam-5665	183	40	then	then	ADV
ejpam-5665	183	41	the	the	DET
ejpam-5665	183	42	hyperbolic	hyperbolic	ADJ
ejpam-5665	183	43	function	function	NOUN
ejpam-5665	183	44	solutions	solution	NOUN
ejpam-5665	183	45	of	of	ADP
ejpam-5665	183	46	the	the	DET
ejpam-5665	183	47	sqzke	sqzke	NOUN
ejpam-5665	183	48	(	(	PUNCT
ejpam-5665	183	49	1	1	NUM
ejpam-5665	183	50	)	)	PUNCT
ejpam-5665	183	51	,	,	PUNCT
ejpam-5665	183	52	utilizing	utilize	VERB
ejpam-5665	183	53	(	(	PUNCT
ejpam-5665	183	54	14)(17	14)(17	NUM
ejpam-5665	183	55	)	)	PUNCT
ejpam-5665	183	56	,	,	PUNCT
ejpam-5665	183	57	are	be	AUX
ejpam-5665	183	58	:	:	PUNCT
ejpam-5665	183	59	g6(x	g6(x	NOUN
ejpam-5665	183	60	,	,	PUNCT
ejpam-5665	183	61	y	y	PROPN
ejpam-5665	183	62	,	,	PUNCT
ejpam-5665	183	63	z	z	PROPN
ejpam-5665	183	64	,	,	PUNCT
ejpam-5665	183	65	t	t	PROPN
ejpam-5665	183	66	)	)	PUNCT
ejpam-5665	183	67	=	=	PUNCT
ejpam-5665	184	1	(	(	PUNCT
ejpam-5665	184	2	ℓ0	ℓ0	ADV
ejpam-5665	184	3	+	+	CCONJ
ejpam-5665	184	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	184	5	tanh	tanh	PROPN
ejpam-5665	184	6	2	2	NUM
ejpam-5665	184	7	(	(	PUNCT
ejpam-5665	184	8	√	√	NUM
ejpam-5665	184	9	−pξ	−pξ	NUM
ejpam-5665	184	10	)	)	PUNCT
ejpam-5665	184	11	)	)	PUNCT
ejpam-5665	185	1	e[δb(t)−	e[δb(t)−	PROPN
ejpam-5665	185	2	1	1	NUM
ejpam-5665	185	3	2	2	NUM
ejpam-5665	185	4	δ2	δ2	VERB
ejpam-5665	185	5	t	t	NOUN
ejpam-5665	185	6	]	]	PUNCT
ejpam-5665	185	7	,	,	PUNCT
ejpam-5665	185	8	(	(	PUNCT
ejpam-5665	185	9	31	31	NUM
ejpam-5665	185	10	)	)	PUNCT
ejpam-5665	185	11	g7(x	g7(x	PROPN
ejpam-5665	185	12	,	,	PUNCT
ejpam-5665	185	13	y	y	PROPN
ejpam-5665	185	14	,	,	PUNCT
ejpam-5665	185	15	z	z	PROPN
ejpam-5665	185	16	,	,	PUNCT
ejpam-5665	185	17	t	t	PROPN
ejpam-5665	185	18	)	)	PUNCT
ejpam-5665	185	19	=	=	PUNCT
ejpam-5665	186	1	(	(	PUNCT
ejpam-5665	186	2	ℓ0	ℓ0	ADV
ejpam-5665	186	3	+	+	CCONJ
ejpam-5665	186	4	ℓ2p	ℓ2p	ADJ
ejpam-5665	186	5	coth	coth	NOUN
ejpam-5665	186	6	2	2	NUM
ejpam-5665	186	7	(	(	PUNCT
ejpam-5665	186	8	√	√	NUM
ejpam-5665	186	9	−pξ	−pξ	NUM
ejpam-5665	186	10	)	)	PUNCT
ejpam-5665	186	11	)	)	PUNCT
ejpam-5665	186	12	e[δb(t)−	e[δb(t)−	PROPN
ejpam-5665	186	13	1	1	NUM
ejpam-5665	186	14	2	2	NUM
ejpam-5665	186	15	δ2	δ2	VERB
ejpam-5665	186	16	t	t	NOUN
ejpam-5665	186	17	]	]	PUNCT
ejpam-5665	186	18	,	,	PUNCT
ejpam-5665	186	19	(	(	PUNCT
ejpam-5665	186	20	32	32	NUM
ejpam-5665	186	21	)	)	PUNCT
ejpam-5665	186	22	g8(x	g8(x	PROPN
ejpam-5665	186	23	,	,	PUNCT
ejpam-5665	186	24	y	y	PROPN
ejpam-5665	186	25	,	,	PUNCT
ejpam-5665	186	26	z	z	PROPN
ejpam-5665	186	27	,	,	PUNCT
ejpam-5665	186	28	t	t	PROPN
ejpam-5665	186	29	)	)	PUNCT
ejpam-5665	186	30	=	=	PUNCT
ejpam-5665	187	1	(	(	PUNCT
ejpam-5665	187	2	ℓ0	ℓ0	ADV
ejpam-5665	187	3	+	+	CCONJ
ejpam-5665	187	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	187	5	(	(	PUNCT
ejpam-5665	187	6	coth	coth	PROPN
ejpam-5665	187	7	(	(	PUNCT
ejpam-5665	187	8	√	√	PROPN
ejpam-5665	187	9	−4pξ)±	−4pξ)±	PROPN
ejpam-5665	187	10	csch	csch	NOUN
ejpam-5665	187	11	(	(	PUNCT
ejpam-5665	187	12	√	√	ADP
ejpam-5665	187	13	−4pξ	−4pξ	NOUN
ejpam-5665	187	14	)	)	PUNCT
ejpam-5665	187	15	)	)	PUNCT
ejpam-5665	188	1	2	2	X
ejpam-5665	188	2	)	)	PUNCT
ejpam-5665	188	3	e[δb(t)−	e[δb(t)−	PROPN
ejpam-5665	188	4	1	1	NUM
ejpam-5665	188	5	2	2	NUM
ejpam-5665	188	6	δ2	δ2	VERB
ejpam-5665	188	7	t	t	NOUN
ejpam-5665	188	8	]	]	PUNCT
ejpam-5665	188	9	,	,	PUNCT
ejpam-5665	188	10	(	(	PUNCT
ejpam-5665	188	11	33	33	NUM
ejpam-5665	188	12	)	)	PUNCT
ejpam-5665	188	13	g9(x	g9(x	PROPN
ejpam-5665	188	14	,	,	PUNCT
ejpam-5665	188	15	y	y	PROPN
ejpam-5665	188	16	,	,	PUNCT
ejpam-5665	188	17	z	z	PROPN
ejpam-5665	188	18	,	,	PUNCT
ejpam-5665	188	19	t	t	PROPN
ejpam-5665	188	20	)	)	PUNCT
ejpam-5665	188	21	=	=	PUNCT
ejpam-5665	189	1	(	(	PUNCT
ejpam-5665	189	2	ℓ0	ℓ0	ADV
ejpam-5665	189	3	+	+	CCONJ
ejpam-5665	189	4	ℓ2p	ℓ2p	PROPN
ejpam-5665	189	5	2	2	NUM
ejpam-5665	189	6	(	(	PUNCT
ejpam-5665	189	7	tanh	tanh	NOUN
ejpam-5665	189	8	(	(	PUNCT
ejpam-5665	189	9	1	1	NUM
ejpam-5665	189	10	2	2	NUM
ejpam-5665	189	11	√	√	NUM
ejpam-5665	189	12	−pξ	−pξ	PROPN
ejpam-5665	189	13	)	)	PUNCT
ejpam-5665	189	14	+	+	NUM
ejpam-5665	189	15	coth	coth	X
ejpam-5665	189	16	(	(	PUNCT
ejpam-5665	189	17	1	1	NUM
ejpam-5665	189	18	2	2	NUM
ejpam-5665	189	19	√	√	NUM
ejpam-5665	189	20	−pξ	−pξ	PROPN
ejpam-5665	189	21	)	)	PUNCT
ejpam-5665	189	22	)	)	PUNCT
ejpam-5665	189	23	2	2	X
ejpam-5665	189	24	)	)	PUNCT
ejpam-5665	189	25	e[δb(t)−	e[δb(t)−	PROPN
ejpam-5665	189	26	1	1	NUM
ejpam-5665	189	27	2	2	NUM
ejpam-5665	189	28	δ2	δ2	VERB
ejpam-5665	189	29	t	t	NOUN
ejpam-5665	189	30	]	]	PUNCT
ejpam-5665	189	31	.	.	PUNCT
ejpam-5665	190	1	(	(	PUNCT
ejpam-5665	190	2	34	34	NUM
ejpam-5665	190	3	)	)	PUNCT
ejpam-5665	190	4	when	when	SCONJ
ejpam-5665	190	5	p	p	NOUN
ejpam-5665	190	6	=	=	NOUN
ejpam-5665	190	7	0	0	NUM
ejpam-5665	190	8	,	,	PUNCT
ejpam-5665	190	9	then	then	ADV
ejpam-5665	190	10	the	the	DET
ejpam-5665	190	11	rational	rational	ADJ
ejpam-5665	190	12	function	function	NOUN
ejpam-5665	190	13	solution	solution	NOUN
ejpam-5665	190	14	sqzke	sqzke	NOUN
ejpam-5665	190	15	(	(	PUNCT
ejpam-5665	190	16	1	1	NUM
ejpam-5665	190	17	)	)	PUNCT
ejpam-5665	190	18	,	,	PUNCT
ejpam-5665	190	19	utilizing	utilize	VERB
ejpam-5665	190	20	(	(	PUNCT
ejpam-5665	190	21	18	18	NUM
ejpam-5665	190	22	)	)	PUNCT
ejpam-5665	190	23	,	,	PUNCT
ejpam-5665	190	24	is	be	AUX
ejpam-5665	190	25	:	:	PUNCT
ejpam-5665	190	26	g10(x	g10(x	NOUN
ejpam-5665	190	27	,	,	PUNCT
ejpam-5665	190	28	y	y	PROPN
ejpam-5665	190	29	,	,	PUNCT
ejpam-5665	190	30	z	z	PROPN
ejpam-5665	190	31	,	,	PUNCT
ejpam-5665	190	32	t	t	PROPN
ejpam-5665	190	33	)	)	PUNCT
ejpam-5665	190	34	=	=	PUNCT
ejpam-5665	190	35	(	(	PUNCT
ejpam-5665	190	36	−1	−1	NOUN
ejpam-5665	190	37	ξ	ξ	X
ejpam-5665	190	38	)	)	PUNCT
ejpam-5665	191	1	e[δb(t)−	e[δb(t)−	PROPN
ejpam-5665	191	2	1	1	NUM
ejpam-5665	191	3	2	2	NUM
ejpam-5665	191	4	δ2	δ2	VERB
ejpam-5665	191	5	t	t	NOUN
ejpam-5665	191	6	]	]	PUNCT
ejpam-5665	191	7	,	,	PUNCT
ejpam-5665	191	8	(	(	PUNCT
ejpam-5665	191	9	35	35	NUM
ejpam-5665	191	10	)	)	PUNCT
ejpam-5665	191	11	where	where	SCONJ
ejpam-5665	191	12	ξ	ξ	X
ejpam-5665	191	13	=	=	SYM
ejpam-5665	191	14	kx+my	kx+my	X
ejpam-5665	191	15	+	+	CCONJ
ejpam-5665	191	16	nz	nz	ADJ
ejpam-5665	191	17	−	−	PROPN
ejpam-5665	191	18	akℓ0	akℓ0	PROPN
ejpam-5665	191	19	∫	∫	PROPN
ejpam-5665	191	20	t	t	PROPN
ejpam-5665	191	21	0	0	NUM
ejpam-5665	191	22	e	e	NOUN
ejpam-5665	191	23	δb(τ)−	δb(τ)−	NOUN
ejpam-5665	191	24	1	1	NUM
ejpam-5665	191	25	2	2	NUM
ejpam-5665	191	26	δ2τdτ	δ2τdτ	PROPN
ejpam-5665	191	27	.	.	PUNCT
ejpam-5665	192	1	remark	remark	PROPN
ejpam-5665	192	2	1	1	NUM
ejpam-5665	192	3	.	.	PUNCT
ejpam-5665	193	1	setting	set	VERB
ejpam-5665	193	2	δ	δ	PROPN
ejpam-5665	193	3	=	=	PUNCT
ejpam-5665	193	4	0	0	PROPN
ejpam-5665	193	5	in	in	ADP
ejpam-5665	193	6	eqs	eqs	PROPN
ejpam-5665	193	7	.	.	PUNCT
ejpam-5665	194	1	(	(	PUNCT
ejpam-5665	194	2	26)-(35	26)-(35	NUM
ejpam-5665	194	3	)	)	PUNCT
ejpam-5665	194	4	and	and	CCONJ
ejpam-5665	194	5	choosing	choose	VERB
ejpam-5665	194	6	suitable	suitable	ADJ
ejpam-5665	194	7	values	value	NOUN
ejpam-5665	194	8	for	for	ADP
ejpam-5665	194	9	ℓ0	ℓ0	PROPN
ejpam-5665	194	10	and	and	CCONJ
ejpam-5665	194	11	ℓ2,we	ℓ2,we	PROPN
ejpam-5665	194	12	obtain	obtain	VERB
ejpam-5665	194	13	the	the	DET
ejpam-5665	194	14	same	same	ADJ
ejpam-5665	194	15	solutions	solution	NOUN
ejpam-5665	194	16	that	that	SCONJ
ejpam-5665	194	17	in	in	ADP
ejpam-5665	194	18	[	[	X
ejpam-5665	194	19	6	6	NUM
ejpam-5665	194	20	]	]	PUNCT
ejpam-5665	194	21	.	.	PUNCT
ejpam-5665	195	1	w.	w.	PROPN
ejpam-5665	195	2	w.	w.	PROPN
ejpam-5665	195	3	mohammed	mohammed	PROPN
ejpam-5665	195	4	et	et	PROPN
ejpam-5665	195	5	al	al	PROPN
ejpam-5665	195	6	.	.	PUNCT
ejpam-5665	195	7	/	/	SYM
ejpam-5665	195	8	eur	eur	PROPN
ejpam-5665	195	9	.	.	PUNCT
ejpam-5665	196	1	j.	j.	PROPN
ejpam-5665	196	2	pure	pure	PROPN
ejpam-5665	196	3	appl	appl	PROPN
ejpam-5665	196	4	.	.	PROPN
ejpam-5665	196	5	math	math	PROPN
ejpam-5665	196	6	,	,	PUNCT
ejpam-5665	196	7	18	18	NUM
ejpam-5665	196	8	(	(	PUNCT
ejpam-5665	196	9	1	1	NUM
ejpam-5665	196	10	)	)	PUNCT
ejpam-5665	196	11	(	(	PUNCT
ejpam-5665	196	12	2025	2025	NUM
ejpam-5665	196	13	)	)	PUNCT
ejpam-5665	196	14	,	,	PUNCT
ejpam-5665	196	15	5665	5665	NUM
ejpam-5665	196	16	9	9	NUM
ejpam-5665	196	17	of	of	ADP
ejpam-5665	196	18	14	14	NUM
ejpam-5665	196	19	3.2	3.2	NUM
ejpam-5665	196	20	.	.	PUNCT
ejpam-5665	197	1	jef	jef	PROPN
ejpam-5665	197	2	-	-	PUNCT
ejpam-5665	197	3	method	method	NOUN
ejpam-5665	197	4	plugging	plug	VERB
ejpam-5665	197	5	eqs	eq	NOUN
ejpam-5665	197	6	(	(	PUNCT
ejpam-5665	197	7	22)-(24	22)-(24	NUM
ejpam-5665	197	8	)	)	PUNCT
ejpam-5665	197	9	into	into	ADP
ejpam-5665	197	10	eq	eq	NOUN
ejpam-5665	197	11	.	.	PUNCT
ejpam-5665	198	1	(	(	PUNCT
ejpam-5665	198	2	2	2	NUM
ejpam-5665	198	3	)	)	PUNCT
ejpam-5665	198	4	,	,	PUNCT
ejpam-5665	198	5	we	we	PRON
ejpam-5665	198	6	get	get	VERB
ejpam-5665	198	7	the	the	DET
ejpam-5665	198	8	elliptic	elliptic	ADJ
ejpam-5665	198	9	function	function	NOUN
ejpam-5665	198	10	solutions	solution	NOUN
ejpam-5665	198	11	for	for	ADP
ejpam-5665	198	12	sqzke	sqzke	NOUN
ejpam-5665	198	13	(	(	PUNCT
ejpam-5665	198	14	1	1	NUM
ejpam-5665	198	15	):	):	PUNCT
ejpam-5665	198	16	g(x	g(x	PROPN
ejpam-5665	198	17	,	,	PUNCT
ejpam-5665	198	18	y	y	PROPN
ejpam-5665	198	19	,	,	PUNCT
ejpam-5665	198	20	z	z	PROPN
ejpam-5665	198	21	,	,	PUNCT
ejpam-5665	198	22	t	t	PROPN
ejpam-5665	198	23	)	)	PUNCT
ejpam-5665	198	24	=	=	PUNCT
ejpam-5665	199	1	(	(	PUNCT
ejpam-5665	199	2	ℓ0	ℓ0	INTJ
ejpam-5665	199	3	+	+	CCONJ
ejpam-5665	199	4	ℓ2	ℓ2	NOUN
ejpam-5665	199	5	(	(	PUNCT
ejpam-5665	199	6	sn(ϖkx+ϖmy	sn(ϖkx+ϖmy	PROPN
ejpam-5665	199	7	+	+	PROPN
ejpam-5665	199	8	ϖnz	ϖnz	ADJ
ejpam-5665	199	9	−kϖ	−kϖ	PROPN
ejpam-5665	199	10	(	(	PUNCT
ejpam-5665	199	11	ℓ2(1	ℓ2(1	NOUN
ejpam-5665	199	12	+	+	CCONJ
ejpam-5665	199	13	ñ2	ñ2	SYM
ejpam-5665	199	14	)	)	PUNCT
ejpam-5665	199	15	3ñ2	3ñ2	PROPN
ejpam-5665	199	16	+	+	CCONJ
ejpam-5665	199	17	ℓ0	ℓ0	ADV
ejpam-5665	199	18	)	)	PUNCT
ejpam-5665	199	19	∫	∫	PROPN
ejpam-5665	200	1	t	t	PROPN
ejpam-5665	200	2	0	0	NUM
ejpam-5665	200	3	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	200	4	1	1	NUM
ejpam-5665	200	5	2	2	NUM
ejpam-5665	200	6	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	200	7	,	,	PUNCT
ejpam-5665	200	8	ñ	ñ	PROPN
ejpam-5665	200	9	)	)	PUNCT
ejpam-5665	200	10	)	)	PUNCT
ejpam-5665	200	11	2	2	X
ejpam-5665	200	12	)	)	PUNCT
ejpam-5665	200	13	eδb(t)−	eδb(t)−	PROPN
ejpam-5665	200	14	1	1	NUM
ejpam-5665	200	15	2	2	NUM
ejpam-5665	200	16	δ2	δ2	VERB
ejpam-5665	200	17	t	t	PROPN
ejpam-5665	200	18	,	,	PUNCT
ejpam-5665	200	19	(	(	PUNCT
ejpam-5665	200	20	36	36	NUM
ejpam-5665	200	21	)	)	PUNCT
ejpam-5665	200	22	g(x	g(x	PROPN
ejpam-5665	200	23	,	,	PUNCT
ejpam-5665	200	24	y	y	PROPN
ejpam-5665	200	25	,	,	PUNCT
ejpam-5665	200	26	z	z	PROPN
ejpam-5665	200	27	,	,	PUNCT
ejpam-5665	200	28	t	t	PROPN
ejpam-5665	200	29	)	)	PUNCT
ejpam-5665	200	30	=	=	PUNCT
ejpam-5665	201	1	(	(	PUNCT
ejpam-5665	201	2	ℓ0	ℓ0	INTJ
ejpam-5665	201	3	+	+	CCONJ
ejpam-5665	201	4	ℓ2	ℓ2	PROPN
ejpam-5665	201	5	(	(	PUNCT
ejpam-5665	201	6	cn(ϖkx+ϖmy	cn(ϖkx+ϖmy	PROPN
ejpam-5665	201	7	+	+	PROPN
ejpam-5665	201	8	ϖn	ϖn	NOUN
ejpam-5665	201	9	+	+	ADJ
ejpam-5665	201	10	kϖ	kϖ	X
ejpam-5665	201	11	(	(	PUNCT
ejpam-5665	201	12	ℓ2(2ñ	ℓ2(2ñ	PROPN
ejpam-5665	201	13	2	2	NUM
ejpam-5665	201	14	−	−	NOUN
ejpam-5665	201	15	1	1	NUM
ejpam-5665	201	16	)	)	PUNCT
ejpam-5665	201	17	3ñ2	3ñ2	NUM
ejpam-5665	201	18	−	−	PROPN
ejpam-5665	201	19	ℓ0	ℓ0	PROPN
ejpam-5665	201	20	)	)	PUNCT
ejpam-5665	201	21	∫	∫	PROPN
ejpam-5665	202	1	t	t	PROPN
ejpam-5665	202	2	0	0	NUM
ejpam-5665	202	3	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	202	4	1	1	NUM
ejpam-5665	202	5	2	2	NUM
ejpam-5665	202	6	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	202	7	,	,	PUNCT
ejpam-5665	202	8	ñ	ñ	PROPN
ejpam-5665	202	9	)	)	PUNCT
ejpam-5665	202	10	)	)	PUNCT
ejpam-5665	202	11	2	2	X
ejpam-5665	202	12	)	)	PUNCT
ejpam-5665	202	13	eδb(t)−	eδb(t)−	PROPN
ejpam-5665	202	14	1	1	NUM
ejpam-5665	202	15	2	2	NUM
ejpam-5665	202	16	δ2	δ2	VERB
ejpam-5665	202	17	t	t	PROPN
ejpam-5665	202	18	,	,	PUNCT
ejpam-5665	202	19	(	(	PUNCT
ejpam-5665	202	20	37	37	NUM
ejpam-5665	202	21	)	)	PUNCT
ejpam-5665	202	22	and	and	CCONJ
ejpam-5665	202	23	g(x	g(x	PROPN
ejpam-5665	202	24	,	,	PUNCT
ejpam-5665	202	25	y	y	PROPN
ejpam-5665	202	26	,	,	PUNCT
ejpam-5665	202	27	z	z	PROPN
ejpam-5665	202	28	,	,	PUNCT
ejpam-5665	202	29	t	t	PROPN
ejpam-5665	202	30	)	)	PUNCT
ejpam-5665	202	31	=	=	PUNCT
ejpam-5665	203	1	(	(	PUNCT
ejpam-5665	203	2	ℓ0	ℓ0	INTJ
ejpam-5665	203	3	+	+	CCONJ
ejpam-5665	203	4	ℓ2	ℓ2	NOUN
ejpam-5665	203	5	(	(	PUNCT
ejpam-5665	203	6	dn(ϖkx+ϖmy	dn(ϖkx+ϖmy	PROPN
ejpam-5665	203	7	+	+	NOUN
ejpam-5665	203	8	ϖnz	ϖnz	ADJ
ejpam-5665	203	9	+	+	ADJ
ejpam-5665	203	10	kϖ	kϖ	NOUN
ejpam-5665	203	11	(	(	PUNCT
ejpam-5665	203	12	ℓ2(2−	ℓ2(2−	NOUN
ejpam-5665	203	13	ñ2	ñ2	PROPN
ejpam-5665	203	14	)	)	PUNCT
ejpam-5665	203	15	3b2	3b2	NUM
ejpam-5665	203	16	−	−	NOUN
ejpam-5665	203	17	ℓ0	ℓ0	ADV
ejpam-5665	203	18	)	)	PUNCT
ejpam-5665	203	19	∫	∫	PROPN
ejpam-5665	204	1	t	t	PROPN
ejpam-5665	204	2	0	0	NUM
ejpam-5665	204	3	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	204	4	1	1	NUM
ejpam-5665	204	5	2	2	NUM
ejpam-5665	204	6	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	204	7	,	,	PUNCT
ejpam-5665	204	8	ñ	ñ	PROPN
ejpam-5665	204	9	)	)	PUNCT
ejpam-5665	204	10	)	)	PUNCT
ejpam-5665	204	11	2	2	X
ejpam-5665	204	12	)	)	PUNCT
ejpam-5665	204	13	eδb(t)−	eδb(t)−	PROPN
ejpam-5665	204	14	1	1	NUM
ejpam-5665	204	15	2	2	NUM
ejpam-5665	204	16	δ2	δ2	VERB
ejpam-5665	204	17	t	t	PROPN
ejpam-5665	204	18	,	,	PUNCT
ejpam-5665	204	19	(	(	PUNCT
ejpam-5665	204	20	38	38	NUM
ejpam-5665	204	21	)	)	PUNCT
ejpam-5665	204	22	if	if	SCONJ
ejpam-5665	204	23	ñ	ñ	VERB
ejpam-5665	204	24	→	→	SYM
ejpam-5665	204	25	1	1	NUM
ejpam-5665	204	26	,	,	PUNCT
ejpam-5665	204	27	then	then	ADV
ejpam-5665	204	28	the	the	DET
ejpam-5665	204	29	eqs	eqs	X
ejpam-5665	204	30	(	(	PUNCT
ejpam-5665	204	31	36)-(38	36)-(38	NUM
ejpam-5665	204	32	)	)	PUNCT
ejpam-5665	204	33	turn	turn	VERB
ejpam-5665	204	34	into	into	ADP
ejpam-5665	204	35	the	the	DET
ejpam-5665	204	36	following	follow	VERB
ejpam-5665	204	37	hyperbolic	hyperbolic	ADJ
ejpam-5665	204	38	function	function	NOUN
ejpam-5665	204	39	solutions	solution	NOUN
ejpam-5665	204	40	g(x	g(x	PROPN
ejpam-5665	204	41	,	,	PUNCT
ejpam-5665	204	42	y	y	PROPN
ejpam-5665	204	43	,	,	PUNCT
ejpam-5665	204	44	z	z	PROPN
ejpam-5665	204	45	,	,	PUNCT
ejpam-5665	204	46	t	t	PROPN
ejpam-5665	204	47	)	)	PUNCT
ejpam-5665	204	48	=	=	PUNCT
ejpam-5665	205	1	(	(	PUNCT
ejpam-5665	205	2	ℓ0	ℓ0	INTJ
ejpam-5665	205	3	+	+	CCONJ
ejpam-5665	205	4	ℓ2	ℓ2	PROPN
ejpam-5665	205	5	(	(	PUNCT
ejpam-5665	205	6	tanh(ϖkx+ϖmy	tanh(ϖkx+ϖmy	X
ejpam-5665	205	7	+	+	NOUN
ejpam-5665	205	8	ϖn	ϖn	NOUN
ejpam-5665	205	9	+	+	ADJ
ejpam-5665	205	10	kϖ	kϖ	NOUN
ejpam-5665	205	11	(	(	PUNCT
ejpam-5665	205	12	2ℓ2	2ℓ2	NUM
ejpam-5665	205	13	3	3	NUM
ejpam-5665	205	14	−	−	PROPN
ejpam-5665	205	15	ℓ0	ℓ0	PROPN
ejpam-5665	205	16	)	)	PUNCT
ejpam-5665	205	17	∫	∫	PROPN
ejpam-5665	206	1	t	t	PROPN
ejpam-5665	206	2	0	0	NUM
ejpam-5665	206	3	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	206	4	1	1	NUM
ejpam-5665	206	5	2	2	NUM
ejpam-5665	206	6	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	206	7	)	)	PUNCT
ejpam-5665	206	8	)	)	PUNCT
ejpam-5665	207	1	2	2	X
ejpam-5665	207	2	)	)	PUNCT
ejpam-5665	207	3	eδb(t)−	eδb(t)−	PROPN
ejpam-5665	207	4	1	1	NUM
ejpam-5665	207	5	2	2	NUM
ejpam-5665	207	6	δ2	δ2	VERB
ejpam-5665	207	7	t	t	PROPN
ejpam-5665	207	8	,	,	PUNCT
ejpam-5665	207	9	(	(	PUNCT
ejpam-5665	207	10	39	39	NUM
ejpam-5665	207	11	)	)	PUNCT
ejpam-5665	207	12	and	and	CCONJ
ejpam-5665	207	13	g(x	g(x	NOUN
ejpam-5665	207	14	,	,	PUNCT
ejpam-5665	207	15	y	y	PROPN
ejpam-5665	207	16	,	,	PUNCT
ejpam-5665	207	17	z	z	PROPN
ejpam-5665	207	18	,	,	PUNCT
ejpam-5665	207	19	t	t	PROPN
ejpam-5665	207	20	)	)	PUNCT
ejpam-5665	207	21	=	=	PUNCT
ejpam-5665	208	1	(	(	PUNCT
ejpam-5665	208	2	ℓ0	ℓ0	INTJ
ejpam-5665	208	3	+	+	CCONJ
ejpam-5665	208	4	ℓ2	ℓ2	PROPN
ejpam-5665	208	5	(	(	PUNCT
ejpam-5665	208	6	sech(ϖkx+ϖmy	sech(ϖkx+ϖmy	NOUN
ejpam-5665	208	7	+	+	NOUN
ejpam-5665	208	8	ϖn	ϖn	NOUN
ejpam-5665	208	9	−kϖ	−kϖ	PROPN
ejpam-5665	208	10	(	(	PUNCT
ejpam-5665	208	11	ℓ2	ℓ2	PROPN
ejpam-5665	208	12	3	3	NUM
ejpam-5665	208	13	+	+	CCONJ
ejpam-5665	208	14	ℓ0	ℓ0	ADV
ejpam-5665	208	15	)	)	PUNCT
ejpam-5665	208	16	∫	∫	PROPN
ejpam-5665	208	17	t	t	PROPN
ejpam-5665	208	18	0	0	NUM
ejpam-5665	208	19	eδb(τ)−	eδb(τ)−	PROPN
ejpam-5665	208	20	1	1	NUM
ejpam-5665	208	21	2	2	NUM
ejpam-5665	208	22	δ2τdτ	δ2τdτ	NOUN
ejpam-5665	208	23	)	)	PUNCT
ejpam-5665	208	24	)	)	PUNCT
ejpam-5665	208	25	2	2	X
ejpam-5665	208	26	)	)	PUNCT
ejpam-5665	208	27	eδb(t)−	eδb(t)−	PROPN
ejpam-5665	208	28	1	1	NUM
ejpam-5665	208	29	2	2	NUM
ejpam-5665	208	30	δ2	δ2	VERB
ejpam-5665	208	31	t.	t.	NOUN
ejpam-5665	208	32	(	(	PUNCT
ejpam-5665	208	33	40	40	NUM
ejpam-5665	208	34	)	)	PUNCT
ejpam-5665	208	35	4	4	NUM
ejpam-5665	208	36	.	.	X
ejpam-5665	208	37	discussion	discussion	NOUN
ejpam-5665	208	38	and	and	CCONJ
ejpam-5665	208	39	impacts	impact	NOUN
ejpam-5665	208	40	of	of	ADP
ejpam-5665	208	41	noise	noise	NOUN
ejpam-5665	208	42	discussion	discussion	NOUN
ejpam-5665	208	43	:	:	PUNCT
ejpam-5665	208	44	we	we	PRON
ejpam-5665	208	45	attained	attain	VERB
ejpam-5665	208	46	in	in	ADP
ejpam-5665	208	47	this	this	DET
ejpam-5665	208	48	study	study	NOUN
ejpam-5665	208	49	the	the	DET
ejpam-5665	208	50	solutions	solution	NOUN
ejpam-5665	208	51	of	of	ADP
ejpam-5665	208	52	the	the	DET
ejpam-5665	208	53	sqzke	sqzke	NOUN
ejpam-5665	208	54	(	(	PUNCT
ejpam-5665	208	55	1	1	NUM
ejpam-5665	208	56	)	)	PUNCT
ejpam-5665	208	57	.	.	PUNCT
ejpam-5665	209	1	we	we	PRON
ejpam-5665	209	2	employed	employ	VERB
ejpam-5665	209	3	the	the	DET
ejpam-5665	209	4	jef	jef	PROPN
ejpam-5665	209	5	and	and	CCONJ
ejpam-5665	209	6	metf	metf	NOUN
ejpam-5665	209	7	methods	method	NOUN
ejpam-5665	209	8	,	,	PUNCT
ejpam-5665	209	9	which	which	PRON
ejpam-5665	209	10	yielded	yield	VERB
ejpam-5665	209	11	a	a	DET
ejpam-5665	209	12	variety	variety	NOUN
ejpam-5665	209	13	of	of	ADP
ejpam-5665	209	14	solutions	solution	NOUN
ejpam-5665	209	15	,	,	PUNCT
ejpam-5665	209	16	including	include	VERB
ejpam-5665	209	17	solitary	solitary	ADJ
ejpam-5665	209	18	trigonometric	trigonometric	ADJ
ejpam-5665	209	19	solutions	solution	NOUN
ejpam-5665	209	20	(	(	PUNCT
ejpam-5665	209	21	26)-(31	26)-(31	NUM
ejpam-5665	209	22	)	)	PUNCT
ejpam-5665	209	23	,	,	PUNCT
ejpam-5665	209	24	solitary	solitary	ADJ
ejpam-5665	209	25	hyperbolic	hyperbolic	ADJ
ejpam-5665	209	26	solutions	solution	NOUN
ejpam-5665	209	27	(	(	PUNCT
ejpam-5665	209	28	31)-(33	31)-(33	NUM
ejpam-5665	209	29	)	)	PUNCT
ejpam-5665	209	30	,	,	PUNCT
ejpam-5665	209	31	solitary	solitary	ADJ
ejpam-5665	209	32	rational	rational	ADJ
ejpam-5665	209	33	solution	solution	NOUN
ejpam-5665	209	34	(	(	PUNCT
ejpam-5665	209	35	34	34	NUM
ejpam-5665	209	36	)	)	PUNCT
ejpam-5665	209	37	and	and	CCONJ
ejpam-5665	209	38	solitary	solitary	ADJ
ejpam-5665	209	39	elliptic	elliptic	ADJ
ejpam-5665	209	40	solutions	solution	NOUN
ejpam-5665	209	41	(	(	PUNCT
ejpam-5665	209	42	35)-(38	35)-(38	NOUN
ejpam-5665	209	43	)	)	PUNCT
ejpam-5665	209	44	.	.	PUNCT
ejpam-5665	210	1	solitary	solitary	ADJ
ejpam-5665	210	2	solutions	solution	NOUN
ejpam-5665	210	3	of	of	ADP
ejpam-5665	210	4	quantum	quantum	ADJ
ejpam-5665	210	5	zakharov	zakharov	ADJ
ejpam-5665	210	6	-	-	PUNCT
ejpam-5665	210	7	kuznets	kuznet	NOUN
ejpam-5665	210	8	equations	equation	NOUN
ejpam-5665	210	9	are	be	AUX
ejpam-5665	210	10	a	a	DET
ejpam-5665	210	11	crucial	crucial	ADJ
ejpam-5665	210	12	area	area	NOUN
ejpam-5665	210	13	of	of	ADP
ejpam-5665	210	14	research	research	NOUN
ejpam-5665	210	15	with	with	ADP
ejpam-5665	210	16	far	far	ADV
ejpam-5665	210	17	-	-	PUNCT
ejpam-5665	210	18	reaching	reach	VERB
ejpam-5665	210	19	implications	implication	NOUN
ejpam-5665	210	20	for	for	ADP
ejpam-5665	210	21	our	our	PRON
ejpam-5665	210	22	understanding	understanding	NOUN
ejpam-5665	210	23	of	of	ADP
ejpam-5665	210	24	plasma	plasma	NOUN
ejpam-5665	210	25	waves	wave	NOUN
ejpam-5665	210	26	in	in	ADP
ejpam-5665	210	27	quantum	quantum	NOUN
ejpam-5665	210	28	systems	system	NOUN
ejpam-5665	210	29	.	.	PUNCT
ejpam-5665	211	1	by	by	ADP
ejpam-5665	211	2	studying	study	VERB
ejpam-5665	211	3	these	these	DET
ejpam-5665	211	4	solutions	solution	NOUN
ejpam-5665	211	5	,	,	PUNCT
ejpam-5665	211	6	researchers	researcher	NOUN
ejpam-5665	211	7	can	can	AUX
ejpam-5665	211	8	gain	gain	VERB
ejpam-5665	211	9	valuable	valuable	ADJ
ejpam-5665	211	10	insights	insight	NOUN
ejpam-5665	211	11	into	into	ADP
ejpam-5665	211	12	the	the	DET
ejpam-5665	211	13	behavior	behavior	NOUN
ejpam-5665	211	14	of	of	ADP
ejpam-5665	211	15	quantum	quantum	ADJ
ejpam-5665	211	16	plasma	plasma	NOUN
ejpam-5665	211	17	waves	wave	NOUN
ejpam-5665	211	18	,	,	PUNCT
ejpam-5665	211	19	develop	develop	VERB
ejpam-5665	211	20	new	new	ADJ
ejpam-5665	211	21	technologies	technology	NOUN
ejpam-5665	211	22	based	base	VERB
ejpam-5665	211	23	on	on	ADP
ejpam-5665	211	24	their	their	PRON
ejpam-5665	211	25	unique	unique	ADJ
ejpam-5665	211	26	properties	property	NOUN
ejpam-5665	211	27	,	,	PUNCT
ejpam-5665	211	28	and	and	CCONJ
ejpam-5665	211	29	uncover	uncover	VERB
ejpam-5665	211	30	new	new	ADJ
ejpam-5665	211	31	fundamental	fundamental	ADJ
ejpam-5665	211	32	physics	physics	NOUN
ejpam-5665	211	33	principles	principle	NOUN
ejpam-5665	211	34	governing	govern	VERB
ejpam-5665	211	35	quantum	quantum	ADJ
ejpam-5665	211	36	systems	system	NOUN
ejpam-5665	211	37	.	.	PUNCT
ejpam-5665	212	1	as	as	SCONJ
ejpam-5665	212	2	technology	technology	NOUN
ejpam-5665	212	3	continues	continue	VERB
ejpam-5665	212	4	to	to	PART
ejpam-5665	212	5	advance	advance	VERB
ejpam-5665	212	6	,	,	PUNCT
ejpam-5665	212	7	the	the	DET
ejpam-5665	212	8	study	study	NOUN
ejpam-5665	212	9	of	of	ADP
ejpam-5665	212	10	w.	w.	PROPN
ejpam-5665	212	11	w.	w.	PROPN
ejpam-5665	212	12	mohammed	mohammed	PROPN
ejpam-5665	212	13	et	et	PROPN
ejpam-5665	212	14	al	al	PROPN
ejpam-5665	212	15	.	.	PUNCT
ejpam-5665	212	16	/	/	SYM
ejpam-5665	212	17	eur	eur	PROPN
ejpam-5665	212	18	.	.	PUNCT
ejpam-5665	213	1	j.	j.	PROPN
ejpam-5665	213	2	pure	pure	PROPN
ejpam-5665	213	3	appl	appl	PROPN
ejpam-5665	213	4	.	.	PROPN
ejpam-5665	213	5	math	math	PROPN
ejpam-5665	213	6	,	,	PUNCT
ejpam-5665	213	7	18	18	NUM
ejpam-5665	213	8	(	(	PUNCT
ejpam-5665	213	9	1	1	NUM
ejpam-5665	213	10	)	)	PUNCT
ejpam-5665	213	11	(	(	PUNCT
ejpam-5665	213	12	2025	2025	NUM
ejpam-5665	213	13	)	)	PUNCT
ejpam-5665	213	14	,	,	PUNCT
ejpam-5665	213	15	5665	5665	NUM
ejpam-5665	213	16	10	10	NUM
ejpam-5665	213	17	of	of	ADP
ejpam-5665	213	18	14	14	NUM
ejpam-5665	213	19	solitary	solitary	ADJ
ejpam-5665	213	20	solutions	solution	NOUN
ejpam-5665	213	21	of	of	ADP
ejpam-5665	213	22	qzk	qzk	NOUN
ejpam-5665	213	23	will	will	AUX
ejpam-5665	213	24	likely	likely	ADV
ejpam-5665	213	25	play	play	VERB
ejpam-5665	213	26	a	a	DET
ejpam-5665	213	27	key	key	ADJ
ejpam-5665	213	28	role	role	NOUN
ejpam-5665	213	29	in	in	ADP
ejpam-5665	213	30	shaping	shape	VERB
ejpam-5665	213	31	our	our	PRON
ejpam-5665	213	32	understanding	understanding	NOUN
ejpam-5665	213	33	of	of	ADP
ejpam-5665	213	34	plasma	plasma	NOUN
ejpam-5665	213	35	dynamics	dynamic	NOUN
ejpam-5665	213	36	in	in	ADP
ejpam-5665	213	37	quantum	quantum	ADJ
ejpam-5665	213	38	regimes	regime	NOUN
ejpam-5665	213	39	.	.	PUNCT
ejpam-5665	213	40	impacts	impact	NOUN
ejpam-5665	213	41	of	of	ADP
ejpam-5665	213	42	noise	noise	NOUN
ejpam-5665	213	43	:	:	PUNCT
ejpam-5665	213	44	here	here	ADV
ejpam-5665	213	45	,	,	PUNCT
ejpam-5665	213	46	we	we	PRON
ejpam-5665	213	47	investigate	investigate	VERB
ejpam-5665	213	48	how	how	SCONJ
ejpam-5665	213	49	multiplicative	multiplicative	ADJ
ejpam-5665	213	50	noise	noise	NOUN
ejpam-5665	213	51	affects	affect	VERB
ejpam-5665	213	52	the	the	DET
ejpam-5665	213	53	exact	exact	ADJ
ejpam-5665	213	54	solution	solution	NOUN
ejpam-5665	213	55	of	of	ADP
ejpam-5665	213	56	sqzke	sqzke	NOUN
ejpam-5665	213	57	(	(	PUNCT
ejpam-5665	213	58	1	1	NUM
ejpam-5665	213	59	)	)	PUNCT
ejpam-5665	213	60	.	.	PUNCT
ejpam-5665	214	1	several	several	ADJ
ejpam-5665	214	2	graphic	graphic	ADJ
ejpam-5665	214	3	representations	representation	NOUN
ejpam-5665	214	4	of	of	ADP
ejpam-5665	214	5	possible	possible	ADJ
ejpam-5665	214	6	solutions	solution	NOUN
ejpam-5665	214	7	with	with	ADP
ejpam-5665	214	8	varying	vary	VERB
ejpam-5665	214	9	noise	noise	NOUN
ejpam-5665	214	10	intensities	intensity	NOUN
ejpam-5665	214	11	are	be	AUX
ejpam-5665	214	12	displayed	display	VERB
ejpam-5665	214	13	.	.	PUNCT
ejpam-5665	215	1	figures	figure	NOUN
ejpam-5665	215	2	1	1	NUM
ejpam-5665	215	3	,	,	PUNCT
ejpam-5665	215	4	2	2	NUM
ejpam-5665	215	5	and	and	CCONJ
ejpam-5665	215	6	3	3	NUM
ejpam-5665	215	7	show	show	VERB
ejpam-5665	215	8	the	the	DET
ejpam-5665	215	9	solutions	solution	NOUN
ejpam-5665	215	10	g(x	g(x	PROPN
ejpam-5665	215	11	,	,	PUNCT
ejpam-5665	215	12	y	y	PROPN
ejpam-5665	215	13	,	,	PUNCT
ejpam-5665	215	14	z	z	PROPN
ejpam-5665	215	15	,	,	PUNCT
ejpam-5665	215	16	t	t	PROPN
ejpam-5665	215	17	)	)	PUNCT
ejpam-5665	215	18	stated	state	VERB
ejpam-5665	215	19	in	in	ADP
ejpam-5665	215	20	eqs	eqs	X
ejpam-5665	215	21	(	(	PUNCT
ejpam-5665	215	22	35	35	NUM
ejpam-5665	215	23	)	)	PUNCT
ejpam-5665	215	24	,	,	PUNCT
ejpam-5665	215	25	(	(	PUNCT
ejpam-5665	215	26	39	39	NUM
ejpam-5665	215	27	)	)	PUNCT
ejpam-5665	215	28	and	and	CCONJ
ejpam-5665	215	29	(	(	PUNCT
ejpam-5665	215	30	40	40	NUM
ejpam-5665	215	31	)	)	PUNCT
ejpam-5665	215	32	,	,	PUNCT
ejpam-5665	215	33	respectively	respectively	ADV
ejpam-5665	215	34	,	,	PUNCT
ejpam-5665	215	35	for	for	ADP
ejpam-5665	215	36	various	various	ADJ
ejpam-5665	215	37	intensity	intensity	NOUN
ejpam-5665	215	38	of	of	ADP
ejpam-5665	215	39	noise	noise	NOUN
ejpam-5665	215	40	δ	δ	PROPN
ejpam-5665	215	41	as	as	SCONJ
ejpam-5665	215	42	follows	follow	VERB
ejpam-5665	215	43	:	:	PUNCT
ejpam-5665	215	44	(	(	PUNCT
ejpam-5665	215	45	a	a	X
ejpam-5665	215	46	)	)	PUNCT
ejpam-5665	215	47	δ	δ	NOUN
ejpam-5665	215	48	=	=	SYM
ejpam-5665	215	49	0	0	PUNCT
ejpam-5665	215	50	(	(	PUNCT
ejpam-5665	215	51	b	b	NOUN
ejpam-5665	215	52	)	)	PUNCT
ejpam-5665	215	53	δ	δ	NOUN
ejpam-5665	216	1	=	=	SYM
ejpam-5665	216	2	0.1	0.1	NUM
ejpam-5665	216	3	(	(	PUNCT
ejpam-5665	216	4	c	c	NOUN
ejpam-5665	216	5	)	)	PUNCT
ejpam-5665	216	6	δ	δ	NOUN
ejpam-5665	217	1	=	=	PUNCT
ejpam-5665	217	2	0.4	0.4	NUM
ejpam-5665	217	3	(	(	PUNCT
ejpam-5665	217	4	d	d	NOUN
ejpam-5665	217	5	)	)	PUNCT
ejpam-5665	217	6	δ	δ	X
ejpam-5665	217	7	=	=	SYM
ejpam-5665	217	8	1	1	NUM
ejpam-5665	217	9	(	(	PUNCT
ejpam-5665	217	10	e	e	NOUN
ejpam-5665	217	11	)	)	PUNCT
ejpam-5665	217	12	δ	δ	NOUN
ejpam-5665	217	13	=	=	SYM
ejpam-5665	217	14	2	2	NUM
ejpam-5665	217	15	(	(	PUNCT
ejpam-5665	217	16	f	f	X
ejpam-5665	217	17	)	)	PUNCT
ejpam-5665	217	18	δ	δ	PROPN
ejpam-5665	217	19	=	=	SYM
ejpam-5665	217	20	0	0	NUM
ejpam-5665	217	21	,	,	PUNCT
ejpam-5665	217	22	0.1	0.1	NUM
ejpam-5665	217	23	,	,	PUNCT
ejpam-5665	217	24	0.4	0.4	NUM
ejpam-5665	217	25	,	,	PUNCT
ejpam-5665	217	26	1	1	NUM
ejpam-5665	217	27	,	,	PUNCT
ejpam-5665	217	28	2	2	NUM
ejpam-5665	217	29	figure	figure	NOUN
ejpam-5665	217	30	1	1	NUM
ejpam-5665	217	31	:	:	PUNCT
ejpam-5665	217	32	(	(	PUNCT
ejpam-5665	217	33	a	a	X
ejpam-5665	217	34	-	-	PUNCT
ejpam-5665	217	35	e	e	NOUN
ejpam-5665	217	36	)	)	PUNCT
ejpam-5665	217	37	describe	describe	VERB
ejpam-5665	217	38	3	3	NUM
ejpam-5665	217	39	-	-	PUNCT
ejpam-5665	217	40	dimension	dimension	NOUN
ejpam-5665	217	41	shape	shape	NOUN
ejpam-5665	217	42	of	of	ADP
ejpam-5665	217	43	g(x	g(x	PROPN
ejpam-5665	217	44	,	,	PUNCT
ejpam-5665	217	45	y	y	PROPN
ejpam-5665	217	46	,	,	PUNCT
ejpam-5665	217	47	z	z	PROPN
ejpam-5665	217	48	,	,	PUNCT
ejpam-5665	217	49	t	t	PROPN
ejpam-5665	217	50	)	)	PUNCT
ejpam-5665	217	51	reported	report	VERB
ejpam-5665	217	52	in	in	ADP
ejpam-5665	217	53	eq	eq	ADP
ejpam-5665	217	54	.	.	PUNCT
ejpam-5665	218	1	(	(	PUNCT
ejpam-5665	218	2	35	35	NUM
ejpam-5665	218	3	)	)	PUNCT
ejpam-5665	218	4	with	with	ADP
ejpam-5665	218	5	ℓ0	ℓ0	NOUN
ejpam-5665	218	6	=	=	SYM
ejpam-5665	218	7	ℓ2	ℓ2	PROPN
ejpam-5665	218	8	=	=	SYM
ejpam-5665	218	9	1	1	NUM
ejpam-5665	218	10	,	,	PUNCT
ejpam-5665	218	11	ň	ň	NOUN
ejpam-5665	218	12	=	=	NOUN
ejpam-5665	218	13	0.5	0.5	NUM
ejpam-5665	218	14	,	,	PUNCT
ejpam-5665	218	15	ϖ	ϖ	X
ejpam-5665	219	1	=	=	SYM
ejpam-5665	219	2	k	k	NOUN
ejpam-5665	219	3	=	=	PUNCT
ejpam-5665	220	1	n	n	PROPN
ejpam-5665	220	2	=	=	SYM
ejpam-5665	220	3	m	m	NOUN
ejpam-5665	220	4	=	=	SYM
ejpam-5665	220	5	1	1	NUM
ejpam-5665	220	6	,	,	PUNCT
ejpam-5665	220	7	y	y	NOUN
ejpam-5665	220	8	=	=	PUNCT
ejpam-5665	220	9	z	z	NOUN
ejpam-5665	220	10	=	=	SYM
ejpam-5665	220	11	0	0	NUM
ejpam-5665	220	12	,	,	PUNCT
ejpam-5665	220	13	a	a	DET
ejpam-5665	220	14	=	=	SYM
ejpam-5665	220	15	b	b	NOUN
ejpam-5665	220	16	=	=	SYM
ejpam-5665	220	17	c	c	NOUN
ejpam-5665	220	18	=	=	SYM
ejpam-5665	220	19	1	1	NUM
ejpam-5665	220	20	,	,	PUNCT
ejpam-5665	220	21	t	t	PROPN
ejpam-5665	220	22	∈	∈	PROPN
ejpam-5665	221	1	[	[	X
ejpam-5665	221	2	0	0	NUM
ejpam-5665	221	3	,	,	PUNCT
ejpam-5665	221	4	2	2	NUM
ejpam-5665	221	5	]	]	PUNCT
ejpam-5665	221	6	and	and	CCONJ
ejpam-5665	221	7	x	x	PUNCT
ejpam-5665	221	8	∈	∈	PROPN
ejpam-5665	221	9	[	[	X
ejpam-5665	221	10	−4	−4	X
ejpam-5665	221	11	,	,	PUNCT
ejpam-5665	221	12	4	4	NUM
ejpam-5665	221	13	]	]	PUNCT
ejpam-5665	221	14	(	(	PUNCT
ejpam-5665	221	15	f	f	X
ejpam-5665	221	16	)	)	PUNCT
ejpam-5665	221	17	presents	present	VERB
ejpam-5665	221	18	the	the	DET
ejpam-5665	221	19	2	2	NUM
ejpam-5665	221	20	-	-	PUNCT
ejpam-5665	221	21	dimension	dimension	NOUN
ejpam-5665	221	22	shape	shape	NOUN
ejpam-5665	221	23	of	of	ADP
ejpam-5665	221	24	the	the	DET
ejpam-5665	221	25	eq	eq	NOUN
ejpam-5665	221	26	.	.	PUNCT
ejpam-5665	222	1	(	(	PUNCT
ejpam-5665	222	2	35	35	NUM
ejpam-5665	222	3	)	)	PUNCT
ejpam-5665	222	4	with	with	ADP
ejpam-5665	222	5	various	various	ADJ
ejpam-5665	222	6	δ	δ	PROPN
ejpam-5665	222	7	w.	w.	PROPN
ejpam-5665	222	8	w.	w.	PROPN
ejpam-5665	222	9	mohammed	mohammed	PROPN
ejpam-5665	222	10	et	et	PROPN
ejpam-5665	222	11	al	al	PROPN
ejpam-5665	222	12	.	.	PUNCT
ejpam-5665	222	13	/	/	SYM
ejpam-5665	222	14	eur	eur	PROPN
ejpam-5665	222	15	.	.	PUNCT
ejpam-5665	223	1	j.	j.	PROPN
ejpam-5665	223	2	pure	pure	PROPN
ejpam-5665	223	3	appl	appl	PROPN
ejpam-5665	223	4	.	.	PROPN
ejpam-5665	223	5	math	math	PROPN
ejpam-5665	223	6	,	,	PUNCT
ejpam-5665	223	7	18	18	NUM
ejpam-5665	223	8	(	(	PUNCT
ejpam-5665	223	9	1	1	NUM
ejpam-5665	223	10	)	)	PUNCT
ejpam-5665	223	11	(	(	PUNCT
ejpam-5665	223	12	2025	2025	NUM
ejpam-5665	223	13	)	)	PUNCT
ejpam-5665	223	14	,	,	PUNCT
ejpam-5665	223	15	5665	5665	NUM
ejpam-5665	223	16	11	11	NUM
ejpam-5665	223	17	of	of	ADP
ejpam-5665	223	18	14	14	NUM
ejpam-5665	223	19	(	(	PUNCT
ejpam-5665	223	20	a	a	NOUN
ejpam-5665	223	21	)	)	PUNCT
ejpam-5665	223	22	δ	δ	NOUN
ejpam-5665	223	23	=	=	SYM
ejpam-5665	223	24	0	0	PUNCT
ejpam-5665	223	25	(	(	PUNCT
ejpam-5665	223	26	b	b	NOUN
ejpam-5665	223	27	)	)	PUNCT
ejpam-5665	223	28	δ	δ	NOUN
ejpam-5665	223	29	=	=	SYM
ejpam-5665	223	30	0.1	0.1	NUM
ejpam-5665	223	31	(	(	PUNCT
ejpam-5665	223	32	c	c	NOUN
ejpam-5665	223	33	)	)	PUNCT
ejpam-5665	223	34	δ	δ	NOUN
ejpam-5665	223	35	=	=	PUNCT
ejpam-5665	224	1	0.4	0.4	NUM
ejpam-5665	224	2	(	(	PUNCT
ejpam-5665	224	3	d	d	NOUN
ejpam-5665	224	4	)	)	PUNCT
ejpam-5665	224	5	δ	δ	X
ejpam-5665	224	6	=	=	SYM
ejpam-5665	224	7	1	1	NUM
ejpam-5665	224	8	(	(	PUNCT
ejpam-5665	224	9	e	e	NOUN
ejpam-5665	224	10	)	)	PUNCT
ejpam-5665	224	11	δ	δ	NOUN
ejpam-5665	224	12	=	=	SYM
ejpam-5665	224	13	2	2	NUM
ejpam-5665	224	14	(	(	PUNCT
ejpam-5665	224	15	f	f	X
ejpam-5665	224	16	)	)	PUNCT
ejpam-5665	224	17	δ	δ	PROPN
ejpam-5665	224	18	=	=	SYM
ejpam-5665	224	19	0	0	NUM
ejpam-5665	224	20	,	,	PUNCT
ejpam-5665	224	21	0.1	0.1	NUM
ejpam-5665	224	22	,	,	PUNCT
ejpam-5665	224	23	0.4	0.4	NUM
ejpam-5665	224	24	,	,	PUNCT
ejpam-5665	224	25	1	1	NUM
ejpam-5665	224	26	,	,	PUNCT
ejpam-5665	224	27	2	2	NUM
ejpam-5665	224	28	figure	figure	NOUN
ejpam-5665	224	29	2	2	NUM
ejpam-5665	224	30	:	:	PUNCT
ejpam-5665	224	31	(	(	PUNCT
ejpam-5665	224	32	a	a	X
ejpam-5665	224	33	-	-	PUNCT
ejpam-5665	224	34	e	e	NOUN
ejpam-5665	224	35	)	)	PUNCT
ejpam-5665	224	36	present	present	ADJ
ejpam-5665	224	37	3	3	NUM
ejpam-5665	224	38	-	-	PUNCT
ejpam-5665	224	39	dimension	dimension	NOUN
ejpam-5665	224	40	shape	shape	NOUN
ejpam-5665	224	41	of	of	ADP
ejpam-5665	224	42	g(x	g(x	PROPN
ejpam-5665	224	43	,	,	PUNCT
ejpam-5665	224	44	y	y	PROPN
ejpam-5665	224	45	,	,	PUNCT
ejpam-5665	224	46	z	z	PROPN
ejpam-5665	224	47	,	,	PUNCT
ejpam-5665	224	48	t	t	PROPN
ejpam-5665	224	49	)	)	PUNCT
ejpam-5665	224	50	described	describe	VERB
ejpam-5665	224	51	in	in	ADP
ejpam-5665	224	52	eq	eq	ADP
ejpam-5665	224	53	.	.	PUNCT
ejpam-5665	225	1	(	(	PUNCT
ejpam-5665	225	2	39	39	NUM
ejpam-5665	225	3	)	)	PUNCT
ejpam-5665	225	4	with	with	ADP
ejpam-5665	225	5	ℓ	ℓ	PROPN
ejpam-5665	225	6	=	=	PUNCT
ejpam-5665	225	7	δ	δ	PROPN
ejpam-5665	225	8	=	=	SYM
ejpam-5665	225	9	1	1	NUM
ejpam-5665	225	10	,	,	PUNCT
ejpam-5665	225	11	ϖ	ϖ	PROPN
ejpam-5665	226	1	=	=	SYM
ejpam-5665	226	2	k	k	NOUN
ejpam-5665	226	3	=	=	PUNCT
ejpam-5665	227	1	n	n	PROPN
ejpam-5665	227	2	=	=	SYM
ejpam-5665	227	3	m	m	NOUN
ejpam-5665	227	4	=	=	SYM
ejpam-5665	227	5	1	1	NUM
ejpam-5665	227	6	,	,	PUNCT
ejpam-5665	227	7	y	y	NOUN
ejpam-5665	227	8	=	=	PUNCT
ejpam-5665	227	9	z	z	NOUN
ejpam-5665	227	10	=	=	SYM
ejpam-5665	227	11	0	0	NUM
ejpam-5665	227	12	,	,	PUNCT
ejpam-5665	227	13	γ1	γ1	NOUN
ejpam-5665	227	14	=	=	SYM
ejpam-5665	227	15	1	1	NUM
ejpam-5665	227	16	,	,	PUNCT
ejpam-5665	227	17	t	t	PROPN
ejpam-5665	227	18	∈	∈	PROPN
ejpam-5665	228	1	[	[	X
ejpam-5665	228	2	0	0	NUM
ejpam-5665	228	3	,	,	PUNCT
ejpam-5665	228	4	3	3	NUM
ejpam-5665	228	5	]	]	PUNCT
ejpam-5665	228	6	,	,	PUNCT
ejpam-5665	228	7	and	and	CCONJ
ejpam-5665	228	8	x	x	PUNCT
ejpam-5665	228	9	∈	∈	PROPN
ejpam-5665	228	10	[	[	X
ejpam-5665	228	11	−4	−4	X
ejpam-5665	228	12	,	,	PUNCT
ejpam-5665	228	13	4	4	NUM
ejpam-5665	228	14	]	]	PUNCT
ejpam-5665	228	15	(	(	PUNCT
ejpam-5665	228	16	f	f	X
ejpam-5665	228	17	)	)	PUNCT
ejpam-5665	228	18	presents	present	VERB
ejpam-5665	228	19	2	2	NUM
ejpam-5665	228	20	-	-	PUNCT
ejpam-5665	228	21	dimension	dimension	NOUN
ejpam-5665	228	22	shape	shape	NOUN
ejpam-5665	228	23	of	of	ADP
ejpam-5665	228	24	eq	eq	PROPN
ejpam-5665	228	25	.	.	PUNCT
ejpam-5665	229	1	(	(	PUNCT
ejpam-5665	229	2	39	39	NUM
ejpam-5665	229	3	)	)	PUNCT
ejpam-5665	229	4	with	with	ADP
ejpam-5665	229	5	various	various	ADJ
ejpam-5665	229	6	δ	δ	PROPN
ejpam-5665	229	7	w.	w.	PROPN
ejpam-5665	229	8	w.	w.	PROPN
ejpam-5665	229	9	mohammed	mohammed	PROPN
ejpam-5665	229	10	et	et	PROPN
ejpam-5665	229	11	al	al	PROPN
ejpam-5665	229	12	.	.	PUNCT
ejpam-5665	229	13	/	/	SYM
ejpam-5665	229	14	eur	eur	PROPN
ejpam-5665	229	15	.	.	PUNCT
ejpam-5665	230	1	j.	j.	PROPN
ejpam-5665	230	2	pure	pure	PROPN
ejpam-5665	230	3	appl	appl	PROPN
ejpam-5665	230	4	.	.	PROPN
ejpam-5665	230	5	math	math	PROPN
ejpam-5665	230	6	,	,	PUNCT
ejpam-5665	230	7	18	18	NUM
ejpam-5665	230	8	(	(	PUNCT
ejpam-5665	230	9	1	1	NUM
ejpam-5665	230	10	)	)	PUNCT
ejpam-5665	230	11	(	(	PUNCT
ejpam-5665	230	12	2025	2025	NUM
ejpam-5665	230	13	)	)	PUNCT
ejpam-5665	230	14	,	,	PUNCT
ejpam-5665	230	15	5665	5665	NUM
ejpam-5665	230	16	12	12	NUM
ejpam-5665	230	17	of	of	ADP
ejpam-5665	230	18	14	14	NUM
ejpam-5665	230	19	(	(	PUNCT
ejpam-5665	230	20	a	a	NOUN
ejpam-5665	230	21	)	)	PUNCT
ejpam-5665	230	22	δ	δ	NOUN
ejpam-5665	230	23	=	=	SYM
ejpam-5665	230	24	0	0	PUNCT
ejpam-5665	230	25	(	(	PUNCT
ejpam-5665	230	26	b	b	NOUN
ejpam-5665	230	27	)	)	PUNCT
ejpam-5665	230	28	δ	δ	NOUN
ejpam-5665	230	29	=	=	SYM
ejpam-5665	230	30	0.1	0.1	NUM
ejpam-5665	230	31	(	(	PUNCT
ejpam-5665	230	32	c	c	NOUN
ejpam-5665	230	33	)	)	PUNCT
ejpam-5665	230	34	δ	δ	NOUN
ejpam-5665	230	35	=	=	PUNCT
ejpam-5665	231	1	0.4	0.4	NUM
ejpam-5665	231	2	(	(	PUNCT
ejpam-5665	231	3	d	d	NOUN
ejpam-5665	231	4	)	)	PUNCT
ejpam-5665	231	5	δ	δ	X
ejpam-5665	231	6	=	=	SYM
ejpam-5665	231	7	1	1	NUM
ejpam-5665	231	8	(	(	PUNCT
ejpam-5665	231	9	e	e	NOUN
ejpam-5665	231	10	)	)	PUNCT
ejpam-5665	231	11	δ	δ	NOUN
ejpam-5665	231	12	=	=	SYM
ejpam-5665	231	13	2	2	NUM
ejpam-5665	231	14	(	(	PUNCT
ejpam-5665	231	15	f	f	X
ejpam-5665	231	16	)	)	PUNCT
ejpam-5665	231	17	δ	δ	PROPN
ejpam-5665	231	18	=	=	SYM
ejpam-5665	231	19	0	0	NUM
ejpam-5665	231	20	,	,	PUNCT
ejpam-5665	231	21	0.1	0.1	NUM
ejpam-5665	231	22	,	,	PUNCT
ejpam-5665	231	23	0.4	0.4	NUM
ejpam-5665	231	24	,	,	PUNCT
ejpam-5665	231	25	1	1	NUM
ejpam-5665	231	26	,	,	PUNCT
ejpam-5665	231	27	2	2	NUM
ejpam-5665	231	28	figure	figure	NOUN
ejpam-5665	231	29	3	3	NUM
ejpam-5665	231	30	:	:	PUNCT
ejpam-5665	231	31	(	(	PUNCT
ejpam-5665	231	32	a	a	X
ejpam-5665	231	33	-	-	PUNCT
ejpam-5665	231	34	e	e	NOUN
ejpam-5665	231	35	)	)	PUNCT
ejpam-5665	231	36	shows	show	VERB
ejpam-5665	231	37	3	3	NUM
ejpam-5665	231	38	-	-	PUNCT
ejpam-5665	231	39	dimension	dimension	NOUN
ejpam-5665	231	40	shape	shape	NOUN
ejpam-5665	231	41	of	of	ADP
ejpam-5665	231	42	g(x	g(x	PROPN
ejpam-5665	231	43	,	,	PUNCT
ejpam-5665	231	44	y	y	PROPN
ejpam-5665	231	45	,	,	PUNCT
ejpam-5665	231	46	z	z	PROPN
ejpam-5665	231	47	,	,	PUNCT
ejpam-5665	231	48	t	t	PROPN
ejpam-5665	231	49	)	)	PUNCT
ejpam-5665	231	50	reported	report	VERB
ejpam-5665	231	51	in	in	ADP
ejpam-5665	231	52	eq	eq	ADP
ejpam-5665	231	53	.	.	PUNCT
ejpam-5665	232	1	(	(	PUNCT
ejpam-5665	232	2	40	40	NUM
ejpam-5665	232	3	)	)	PUNCT
ejpam-5665	232	4	with	with	ADP
ejpam-5665	232	5	ℓ	ℓ	PROPN
ejpam-5665	232	6	=	=	PUNCT
ejpam-5665	232	7	δ	δ	PROPN
ejpam-5665	232	8	=	=	SYM
ejpam-5665	232	9	1	1	NUM
ejpam-5665	232	10	,	,	PUNCT
ejpam-5665	232	11	ϖ	ϖ	PROPN
ejpam-5665	233	1	=	=	SYM
ejpam-5665	233	2	k	k	NOUN
ejpam-5665	233	3	=	=	PUNCT
ejpam-5665	234	1	n	n	PROPN
ejpam-5665	234	2	=	=	SYM
ejpam-5665	234	3	m	m	NOUN
ejpam-5665	234	4	=	=	SYM
ejpam-5665	234	5	1	1	NUM
ejpam-5665	234	6	,	,	PUNCT
ejpam-5665	234	7	y	y	NOUN
ejpam-5665	234	8	=	=	PUNCT
ejpam-5665	234	9	z	z	NOUN
ejpam-5665	234	10	=	=	SYM
ejpam-5665	234	11	0	0	NUM
ejpam-5665	234	12	,	,	PUNCT
ejpam-5665	234	13	γ1	γ1	NOUN
ejpam-5665	234	14	=	=	SYM
ejpam-5665	234	15	1	1	NUM
ejpam-5665	234	16	,	,	PUNCT
ejpam-5665	234	17	t	t	PROPN
ejpam-5665	234	18	∈	∈	PROPN
ejpam-5665	235	1	[	[	X
ejpam-5665	235	2	0	0	NUM
ejpam-5665	235	3	,	,	PUNCT
ejpam-5665	235	4	3	3	NUM
ejpam-5665	235	5	]	]	PUNCT
ejpam-5665	235	6	,	,	PUNCT
ejpam-5665	235	7	and	and	CCONJ
ejpam-5665	235	8	x	x	PUNCT
ejpam-5665	235	9	∈	∈	PROPN
ejpam-5665	235	10	[	[	X
ejpam-5665	235	11	−4	−4	X
ejpam-5665	235	12	,	,	PUNCT
ejpam-5665	235	13	4	4	NUM
ejpam-5665	235	14	]	]	PUNCT
ejpam-5665	235	15	(	(	PUNCT
ejpam-5665	235	16	f	f	X
ejpam-5665	235	17	)	)	PUNCT
ejpam-5665	235	18	presents	present	VERB
ejpam-5665	235	19	2	2	NUM
ejpam-5665	235	20	-	-	PUNCT
ejpam-5665	235	21	dimension	dimension	NOUN
ejpam-5665	235	22	shape	shape	NOUN
ejpam-5665	235	23	of	of	ADP
ejpam-5665	235	24	eq	eq	PROPN
ejpam-5665	235	25	.	.	PUNCT
ejpam-5665	236	1	(	(	PUNCT
ejpam-5665	236	2	40	40	NUM
ejpam-5665	236	3	)	)	PUNCT
ejpam-5665	236	4	with	with	ADP
ejpam-5665	236	5	various	various	ADJ
ejpam-5665	236	6	δ	δ	PROPN
ejpam-5665	236	7	figures	figure	NOUN
ejpam-5665	236	8	1–3	1–3	NUM
ejpam-5665	236	9	show	show	VERB
ejpam-5665	236	10	that	that	SCONJ
ejpam-5665	236	11	many	many	ADJ
ejpam-5665	236	12	kinds	kind	NOUN
ejpam-5665	236	13	of	of	ADP
ejpam-5665	236	14	solutions	solution	NOUN
ejpam-5665	236	15	,	,	PUNCT
ejpam-5665	236	16	such	such	ADJ
ejpam-5665	236	17	as	as	ADP
ejpam-5665	236	18	solitary	solitary	ADJ
ejpam-5665	236	19	periodic	periodic	ADJ
ejpam-5665	236	20	solution	solution	NOUN
ejpam-5665	236	21	,	,	PUNCT
ejpam-5665	236	22	solitary	solitary	ADJ
ejpam-5665	236	23	bright	bright	ADJ
ejpam-5665	236	24	solution	solution	NOUN
ejpam-5665	236	25	,	,	PUNCT
ejpam-5665	236	26	solitary	solitary	ADJ
ejpam-5665	236	27	dark	dark	ADJ
ejpam-5665	236	28	solution	solution	NOUN
ejpam-5665	236	29	,	,	PUNCT
ejpam-5665	236	30	appear	appear	VERB
ejpam-5665	236	31	when	when	SCONJ
ejpam-5665	236	32	noise	noise	NOUN
ejpam-5665	236	33	is	be	AUX
ejpam-5665	236	34	disregarded	disregard	VERB
ejpam-5665	236	35	(	(	PUNCT
ejpam-5665	236	36	i.e.	i.e.	X
ejpam-5665	236	37	,	,	PUNCT
ejpam-5665	236	38	δ	δ	PROPN
ejpam-5665	236	39	=	=	PROPN
ejpam-5665	236	40	0	0	NUM
ejpam-5665	236	41	)	)	PUNCT
ejpam-5665	236	42	.	.	PUNCT
ejpam-5665	237	1	after	after	ADP
ejpam-5665	237	2	a	a	DET
ejpam-5665	237	3	few	few	ADJ
ejpam-5665	237	4	transit	transit	NOUN
ejpam-5665	237	5	patterns	pattern	NOUN
ejpam-5665	237	6	,	,	PUNCT
ejpam-5665	237	7	the	the	DET
ejpam-5665	237	8	surface	surface	NOUN
ejpam-5665	237	9	flattens	flatten	VERB
ejpam-5665	237	10	when	when	SCONJ
ejpam-5665	237	11	noise	noise	NOUN
ejpam-5665	237	12	is	be	AUX
ejpam-5665	237	13	added	add	VERB
ejpam-5665	237	14	at	at	ADP
ejpam-5665	237	15	δ	δ	X
ejpam-5665	237	16	=	=	PUNCT
ejpam-5665	237	17	0.1	0.1	NUM
ejpam-5665	237	18	,	,	PUNCT
ejpam-5665	237	19	0.4	0.4	NUM
ejpam-5665	237	20	,	,	PUNCT
ejpam-5665	237	21	1	1	NUM
ejpam-5665	237	22	,	,	PUNCT
ejpam-5665	237	23	2	2	NUM
ejpam-5665	237	24	.	.	PUNCT
ejpam-5665	238	1	this	this	DET
ejpam-5665	238	2	results	result	NOUN
ejpam-5665	238	3	demonstrates	demonstrate	VERB
ejpam-5665	238	4	the	the	DET
ejpam-5665	238	5	stabilization	stabilization	NOUN
ejpam-5665	238	6	of	of	ADP
ejpam-5665	238	7	the	the	DET
ejpam-5665	238	8	solutions	solution	NOUN
ejpam-5665	238	9	of	of	ADP
ejpam-5665	238	10	sqzke	sqzke	NOUN
ejpam-5665	238	11	(	(	PUNCT
ejpam-5665	238	12	1	1	NUM
ejpam-5665	238	13	)	)	PUNCT
ejpam-5665	238	14	around	around	ADP
ejpam-5665	238	15	zero	zero	NUM
ejpam-5665	238	16	due	due	ADP
ejpam-5665	238	17	to	to	ADP
ejpam-5665	238	18	multiplicative	multiplicative	ADJ
ejpam-5665	238	19	brownian	brownian	ADJ
ejpam-5665	238	20	motion	motion	NOUN
ejpam-5665	238	21	.	.	PUNCT
ejpam-5665	239	1	w.	w.	PROPN
ejpam-5665	239	2	w.	w.	PROPN
ejpam-5665	239	3	mohammed	mohammed	PROPN
ejpam-5665	239	4	et	et	PROPN
ejpam-5665	239	5	al	al	PROPN
ejpam-5665	239	6	.	.	PUNCT
ejpam-5665	239	7	/	/	SYM
ejpam-5665	239	8	eur	eur	PROPN
ejpam-5665	239	9	.	.	PUNCT
ejpam-5665	240	1	j.	j.	PROPN
ejpam-5665	240	2	pure	pure	PROPN
ejpam-5665	240	3	appl	appl	PROPN
ejpam-5665	240	4	.	.	PROPN
ejpam-5665	240	5	math	math	PROPN
ejpam-5665	240	6	,	,	PUNCT
ejpam-5665	240	7	18	18	NUM
ejpam-5665	240	8	(	(	PUNCT
ejpam-5665	240	9	1	1	NUM
ejpam-5665	240	10	)	)	PUNCT
ejpam-5665	240	11	(	(	PUNCT
ejpam-5665	240	12	2025	2025	NUM
ejpam-5665	240	13	)	)	PUNCT
ejpam-5665	240	14	,	,	PUNCT
ejpam-5665	240	15	5665	5665	NUM
ejpam-5665	240	16	13	13	NUM
ejpam-5665	240	17	of	of	ADP
ejpam-5665	240	18	14	14	NUM
ejpam-5665	240	19	5	5	NUM
ejpam-5665	240	20	.	.	PUNCT
ejpam-5665	241	1	conclusions	conclusion	NOUN
ejpam-5665	241	2	in	in	ADP
ejpam-5665	241	3	this	this	DET
ejpam-5665	241	4	study	study	NOUN
ejpam-5665	241	5	,	,	PUNCT
ejpam-5665	241	6	we	we	PRON
ejpam-5665	241	7	considered	consider	VERB
ejpam-5665	241	8	the	the	DET
ejpam-5665	241	9	stochastic	stochastic	ADJ
ejpam-5665	241	10	qzke	qzke	NOUN
ejpam-5665	241	11	(	(	PUNCT
ejpam-5665	241	12	sqzke	sqzke	PROPN
ejpam-5665	241	13	)	)	PUNCT
ejpam-5665	241	14	(	(	PUNCT
ejpam-5665	241	15	1	1	X
ejpam-5665	241	16	)	)	PUNCT
ejpam-5665	241	17	forced	force	VERB
ejpam-5665	241	18	in	in	ADP
ejpam-5665	241	19	the	the	DET
ejpam-5665	241	20	itô	itô	PROPN
ejpam-5665	241	21	sense	sense	NOUN
ejpam-5665	241	22	by	by	ADP
ejpam-5665	241	23	multiplicative	multiplicative	ADJ
ejpam-5665	241	24	brownian	brownian	ADJ
ejpam-5665	241	25	motion	motion	NOUN
ejpam-5665	241	26	.	.	PUNCT
ejpam-5665	242	1	we	we	PRON
ejpam-5665	242	2	transformed	transform	VERB
ejpam-5665	242	3	the	the	DET
ejpam-5665	242	4	sqzke	sqzke	NOUN
ejpam-5665	242	5	into	into	ADP
ejpam-5665	242	6	a	a	DET
ejpam-5665	242	7	different	different	ADJ
ejpam-5665	242	8	qzke	qzke	NOUN
ejpam-5665	242	9	-	-	PUNCT
ejpam-5665	242	10	rvcs	rvcs	PROPN
ejpam-5665	242	11	(	(	PUNCT
ejpam-5665	242	12	3	3	NUM
ejpam-5665	242	13	)	)	PUNCT
ejpam-5665	242	14	by	by	ADP
ejpam-5665	242	15	applying	apply	VERB
ejpam-5665	242	16	the	the	DET
ejpam-5665	242	17	proper	proper	ADJ
ejpam-5665	242	18	transformation	transformation	NOUN
ejpam-5665	242	19	.	.	PUNCT
ejpam-5665	243	1	we	we	PRON
ejpam-5665	243	2	employed	employ	VERB
ejpam-5665	243	3	the	the	DET
ejpam-5665	243	4	metf	metf	NOUN
ejpam-5665	243	5	and	and	CCONJ
ejpam-5665	243	6	jef	jef	PROPN
ejpam-5665	243	7	approaches	approach	NOUN
ejpam-5665	243	8	to	to	PART
ejpam-5665	243	9	develop	develop	VERB
ejpam-5665	243	10	new	new	ADJ
ejpam-5665	243	11	exact	exact	ADJ
ejpam-5665	243	12	stochastic	stochastic	ADJ
ejpam-5665	243	13	solutions	solution	NOUN
ejpam-5665	243	14	for	for	ADP
ejpam-5665	243	15	qzke	qzke	NOUN
ejpam-5665	243	16	-	-	PUNCT
ejpam-5665	243	17	rvcs	rvcs	PROPN
ejpam-5665	243	18	in	in	ADP
ejpam-5665	243	19	the	the	DET
ejpam-5665	243	20	form	form	NOUN
ejpam-5665	243	21	of	of	ADP
ejpam-5665	243	22	rational	rational	ADJ
ejpam-5665	243	23	,	,	PUNCT
ejpam-5665	243	24	hyperbolic	hyperbolic	ADJ
ejpam-5665	243	25	,	,	PUNCT
ejpam-5665	243	26	trigonometric	trigonometric	ADJ
ejpam-5665	243	27	,	,	PUNCT
ejpam-5665	243	28	elliptic	elliptic	ADJ
ejpam-5665	243	29	functions	function	NOUN
ejpam-5665	243	30	.	.	PUNCT
ejpam-5665	244	1	following	follow	VERB
ejpam-5665	244	2	that	that	PRON
ejpam-5665	244	3	,	,	PUNCT
ejpam-5665	244	4	we	we	PRON
ejpam-5665	244	5	got	get	VERB
ejpam-5665	244	6	the	the	DET
ejpam-5665	244	7	solutions	solution	NOUN
ejpam-5665	244	8	of	of	ADP
ejpam-5665	244	9	sqzke	sqzke	NOUN
ejpam-5665	244	10	(	(	PUNCT
ejpam-5665	244	11	1	1	NUM
ejpam-5665	244	12	)	)	PUNCT
ejpam-5665	244	13	.	.	PUNCT
ejpam-5665	245	1	although	although	SCONJ
ejpam-5665	245	2	all	all	DET
ejpam-5665	245	3	previous	previous	ADJ
ejpam-5665	245	4	studies	study	NOUN
ejpam-5665	245	5	assumed	assume	VERB
ejpam-5665	245	6	that	that	SCONJ
ejpam-5665	245	7	the	the	DET
ejpam-5665	245	8	solutions	solution	NOUN
ejpam-5665	245	9	of	of	ADP
ejpam-5665	245	10	wave	wave	NOUN
ejpam-5665	245	11	equation	equation	NOUN
ejpam-5665	245	12	were	be	AUX
ejpam-5665	245	13	deterministic	deterministic	ADJ
ejpam-5665	245	14	,	,	PUNCT
ejpam-5665	245	15	here	here	ADV
ejpam-5665	245	16	we	we	PRON
ejpam-5665	245	17	have	have	AUX
ejpam-5665	245	18	considered	consider	VERB
ejpam-5665	245	19	that	that	SCONJ
ejpam-5665	245	20	it	it	PRON
ejpam-5665	245	21	is	be	AUX
ejpam-5665	245	22	stochastic	stochastic	ADJ
ejpam-5665	245	23	.	.	PUNCT
ejpam-5665	246	1	in	in	ADP
ejpam-5665	246	2	addition	addition	NOUN
ejpam-5665	246	3	,	,	PUNCT
ejpam-5665	246	4	we	we	PRON
ejpam-5665	246	5	generated	generate	VERB
ejpam-5665	246	6	some	some	DET
ejpam-5665	246	7	earlier	early	ADJ
ejpam-5665	246	8	solutions	solution	NOUN
ejpam-5665	246	9	,	,	PUNCT
ejpam-5665	246	10	including	include	VERB
ejpam-5665	246	11	the	the	DET
ejpam-5665	246	12	solutions	solution	NOUN
ejpam-5665	246	13	presented	present	VERB
ejpam-5665	246	14	in	in	ADP
ejpam-5665	246	15	[	[	X
ejpam-5665	246	16	6	6	NUM
ejpam-5665	246	17	]	]	PUNCT
ejpam-5665	246	18	.	.	PUNCT
ejpam-5665	247	1	due	due	ADP
ejpam-5665	247	2	to	to	ADP
ejpam-5665	247	3	the	the	DET
ejpam-5665	247	4	significance	significance	NOUN
ejpam-5665	247	5	of	of	ADP
ejpam-5665	247	6	qzke	qzke	NOUN
ejpam-5665	247	7	in	in	ADP
ejpam-5665	247	8	a	a	DET
ejpam-5665	247	9	dense	dense	ADJ
ejpam-5665	247	10	quantum	quantum	NOUN
ejpam-5665	247	11	magnetoplasma	magnetoplasma	NOUN
ejpam-5665	247	12	,	,	PUNCT
ejpam-5665	247	13	astrophysics	astrophysic	NOUN
ejpam-5665	247	14	,	,	PUNCT
ejpam-5665	247	15	laboratory	laboratory	NOUN
ejpam-5665	247	16	plasma	plasma	NOUN
ejpam-5665	247	17	experiments	experiment	NOUN
ejpam-5665	247	18	,	,	PUNCT
ejpam-5665	247	19	and	and	CCONJ
ejpam-5665	247	20	quantum	quantum	NOUN
ejpam-5665	247	21	device	device	NOUN
ejpam-5665	247	22	applications	application	NOUN
ejpam-5665	247	23	,	,	PUNCT
ejpam-5665	247	24	the	the	DET
ejpam-5665	247	25	achieved	achieve	VERB
ejpam-5665	247	26	solutions	solution	NOUN
ejpam-5665	247	27	are	be	AUX
ejpam-5665	247	28	essential	essential	ADJ
ejpam-5665	247	29	in	in	ADP
ejpam-5665	247	30	recognizing	recognize	VERB
ejpam-5665	247	31	various	various	ADJ
ejpam-5665	247	32	challenging	challenging	ADJ
ejpam-5665	247	33	physical	physical	ADJ
ejpam-5665	247	34	phenomena	phenomenon	NOUN
ejpam-5665	247	35	.	.	PUNCT
ejpam-5665	248	1	lastly	lastly	ADV
ejpam-5665	248	2	,	,	PUNCT
ejpam-5665	248	3	various	various	ADJ
ejpam-5665	248	4	graphs	graph	NOUN
ejpam-5665	248	5	were	be	AUX
ejpam-5665	248	6	included	include	VERB
ejpam-5665	248	7	to	to	PART
ejpam-5665	248	8	show	show	VERB
ejpam-5665	248	9	how	how	SCONJ
ejpam-5665	248	10	the	the	DET
ejpam-5665	248	11	brownian	brownian	ADJ
ejpam-5665	248	12	motion	motion	NOUN
ejpam-5665	248	13	affected	affect	VERB
ejpam-5665	248	14	the	the	DET
ejpam-5665	248	15	exact	exact	ADJ
ejpam-5665	248	16	solutions	solution	NOUN
ejpam-5665	248	17	of	of	ADP
ejpam-5665	248	18	sqzke	sqzke	NOUN
ejpam-5665	248	19	.	.	PUNCT
ejpam-5665	249	1	acknowledgements	acknowledgement	NOUN
ejpam-5665	249	2	this	this	DET
ejpam-5665	249	3	research	research	NOUN
ejpam-5665	249	4	has	have	AUX
ejpam-5665	249	5	been	be	AUX
ejpam-5665	249	6	funded	fund	VERB
ejpam-5665	249	7	by	by	ADP
ejpam-5665	249	8	scientific	scientific	ADJ
ejpam-5665	249	9	research	research	NOUN
ejpam-5665	249	10	deanship	deanship	NOUN
ejpam-5665	249	11	at	at	ADP
ejpam-5665	249	12	the	the	DET
ejpam-5665	249	13	university	university	NOUN
ejpam-5665	249	14	of	of	ADP
ejpam-5665	249	15	ha’il	ha’il	PROPN
ejpam-5665	249	16	-	-	PUNCT
ejpam-5665	249	17	saudi	saudi	PROPN
ejpam-5665	249	18	arabia	arabia	PROPN
ejpam-5665	249	19	through	through	ADP
ejpam-5665	249	20	project	project	NOUN
ejpam-5665	249	21	number	number	NOUN
ejpam-5665	249	22	rg-24065	rg-24065	NOUN
ejpam-5665	249	23	.	.	PUNCT
ejpam-5665	250	1	references	reference	NOUN
ejpam-5665	250	2	[	[	X
ejpam-5665	250	3	1	1	NUM
ejpam-5665	250	4	]	]	PUNCT
ejpam-5665	250	5	i.	i.	PROPN
ejpam-5665	250	6	ahmad	ahmad	PROPN
ejpam-5665	250	7	,	,	PUNCT
ejpam-5665	250	8	h.	h.	PROPN
ejpam-5665	250	9	ahmad	ahmad	PROPN
ejpam-5665	250	10	,	,	PUNCT
ejpam-5665	250	11	p.	p.	PROPN
ejpam-5665	250	12	thounthong	thounthong	PROPN
ejpam-5665	250	13	,	,	PUNCT
ejpam-5665	250	14	y.-m	y.-m	PROPN
ejpam-5665	250	15	.	.	PUNCT
ejpam-5665	251	1	chu	chu	PROPN
ejpam-5665	251	2	,	,	PUNCT
ejpam-5665	251	3	and	and	CCONJ
ejpam-5665	251	4	c.	c.	PROPN
ejpam-5665	251	5	cesarano	cesarano	PROPN
ejpam-5665	251	6	.	.	PUNCT
ejpam-5665	252	1	solution	solution	NOUN
ejpam-5665	252	2	of	of	ADP
ejpam-5665	252	3	multi	multi	ADJ
ejpam-5665	252	4	-	-	ADJ
ejpam-5665	252	5	term	term	ADJ
ejpam-5665	252	6	time	time	NOUN
ejpam-5665	252	7	-	-	PUNCT
ejpam-5665	252	8	fractional	fractional	ADJ
ejpam-5665	252	9	pde	pde	NOUN
ejpam-5665	252	10	models	model	NOUN
ejpam-5665	252	11	arising	arise	VERB
ejpam-5665	252	12	in	in	ADP
ejpam-5665	252	13	mathematical	mathematical	ADJ
ejpam-5665	252	14	biology	biology	NOUN
ejpam-5665	252	15	and	and	CCONJ
ejpam-5665	252	16	physics	physics	NOUN
ejpam-5665	252	17	by	by	ADP
ejpam-5665	252	18	local	local	ADJ
ejpam-5665	252	19	meshless	meshless	ADJ
ejpam-5665	252	20	method	method	NOUN
ejpam-5665	252	21	.	.	PUNCT
ejpam-5665	253	1	symmetry	symmetry	NOUN
ejpam-5665	253	2	,	,	PUNCT
ejpam-5665	253	3	12(7):1195	12(7):1195	NUM
ejpam-5665	253	4	,	,	PUNCT
ejpam-5665	253	5	2020	2020	NUM
ejpam-5665	253	6	.	.	PUNCT
ejpam-5665	254	1	[	[	X
ejpam-5665	254	2	2	2	NUM
ejpam-5665	254	3	]	]	X
ejpam-5665	254	4	f.m	f.m	PROPN
ejpam-5665	254	5	.	.	PROPN
ejpam-5665	254	6	al	al	PROPN
ejpam-5665	254	7	-	-	PUNCT
ejpam-5665	254	8	askar	askar	PROPN
ejpam-5665	254	9	and	and	CCONJ
ejpam-5665	254	10	w.w	w.w	PROPN
ejpam-5665	254	11	.	.	PROPN
ejpam-5665	254	12	mohammed	mohammed	PROPN
ejpam-5665	254	13	.	.	PUNCT
ejpam-5665	255	1	the	the	DET
ejpam-5665	255	2	analytical	analytical	ADJ
ejpam-5665	255	3	solutions	solution	NOUN
ejpam-5665	255	4	of	of	ADP
ejpam-5665	255	5	the	the	DET
ejpam-5665	255	6	stochastic	stochastic	ADJ
ejpam-5665	255	7	fractional	fractional	ADJ
ejpam-5665	255	8	rkl	rkl	PROPN
ejpam-5665	255	9	equation	equation	NOUN
ejpam-5665	255	10	via	via	ADP
ejpam-5665	255	11	jacobi	jacobi	PROPN
ejpam-5665	255	12	elliptic	elliptic	ADJ
ejpam-5665	255	13	function	function	NOUN
ejpam-5665	255	14	method	method	NOUN
ejpam-5665	255	15	.	.	PUNCT
ejpam-5665	256	1	advances	advance	NOUN
ejpam-5665	256	2	in	in	ADP
ejpam-5665	256	3	mathematical	mathematical	ADJ
ejpam-5665	256	4	physics	physics	NOUN
ejpam-5665	256	5	,	,	PUNCT
ejpam-5665	256	6	page	page	NOUN
ejpam-5665	256	7	1534067	1534067	NUM
ejpam-5665	256	8	,	,	PUNCT
ejpam-5665	256	9	2022	2022	NUM
ejpam-5665	256	10	.	.	PUNCT
ejpam-5665	257	1	[	[	X
ejpam-5665	257	2	3	3	X
ejpam-5665	257	3	]	]	X
ejpam-5665	257	4	s.	s.	PROPN
ejpam-5665	257	5	albosaily	albosaily	PROPN
ejpam-5665	257	6	,	,	PUNCT
ejpam-5665	257	7	a.	a.	NOUN
ejpam-5665	257	8	rezaiguia	rezaiguia	PROPN
ejpam-5665	257	9	,	,	PUNCT
ejpam-5665	257	10	m.	m.	PROPN
ejpam-5665	257	11	el	el	PROPN
ejpam-5665	257	12	-	-	PUNCT
ejpam-5665	257	13	morshedy	morshedy	PROPN
ejpam-5665	257	14	,	,	PUNCT
ejpam-5665	257	15	and	and	CCONJ
ejpam-5665	257	16	e.	e.	PROPN
ejpam-5665	257	17	m.	m.	PROPN
ejpam-5665	257	18	elsayed	elsaye	VERB
ejpam-5665	257	19	.	.	PUNCT
ejpam-5665	258	1	the	the	DET
ejpam-5665	258	2	influence	influence	NOUN
ejpam-5665	258	3	of	of	ADP
ejpam-5665	258	4	the	the	DET
ejpam-5665	258	5	noise	noise	NOUN
ejpam-5665	258	6	on	on	ADP
ejpam-5665	258	7	the	the	DET
ejpam-5665	258	8	exact	exact	ADJ
ejpam-5665	258	9	solutions	solution	NOUN
ejpam-5665	258	10	of	of	ADP
ejpam-5665	258	11	a	a	DET
ejpam-5665	258	12	kuramoto	kuramoto	NOUN
ejpam-5665	258	13	-	-	PUNCT
ejpam-5665	258	14	sivashinsky	sivashinsky	NOUN
ejpam-5665	258	15	equation	equation	NOUN
ejpam-5665	258	16	.	.	PUNCT
ejpam-5665	259	1	open	open	ADJ
ejpam-5665	259	2	mathematics	mathematic	NOUN
ejpam-5665	259	3	,	,	PUNCT
ejpam-5665	259	4	20(1):108–116	20(1):108–116	PROPN
ejpam-5665	259	5	,	,	PUNCT
ejpam-5665	259	6	2022	2022	NUM
ejpam-5665	259	7	.	.	PUNCT
ejpam-5665	260	1	[	[	X
ejpam-5665	260	2	4	4	X
ejpam-5665	260	3	]	]	PUNCT
ejpam-5665	260	4	m.	m.	NOUN
ejpam-5665	260	5	s.	s.	PROPN
ejpam-5665	260	6	algolam	algolam	PROPN
ejpam-5665	260	7	,	,	PUNCT
ejpam-5665	260	8	a.	a.	PROPN
ejpam-5665	260	9	i.	i.	PROPN
ejpam-5665	260	10	ahmed	ahmed	PROPN
ejpam-5665	260	11	,	,	PUNCT
ejpam-5665	260	12	h.	h.	PROPN
ejpam-5665	260	13	m.	m.	PROPN
ejpam-5665	260	14	alshammary	alshammary	PROPN
ejpam-5665	260	15	,	,	PUNCT
ejpam-5665	260	16	and	and	CCONJ
ejpam-5665	260	17	f.	f.	PROPN
ejpam-5665	260	18	e.	e.	PROPN
ejpam-5665	260	19	mansour	mansour	PROPN
ejpam-5665	260	20	.	.	PUNCT
ejpam-5665	261	1	the	the	DET
ejpam-5665	261	2	impact	impact	NOUN
ejpam-5665	261	3	of	of	ADP
ejpam-5665	261	4	standard	standard	ADJ
ejpam-5665	261	5	wiener	wiener	NOUN
ejpam-5665	261	6	process	process	NOUN
ejpam-5665	261	7	on	on	ADP
ejpam-5665	261	8	the	the	DET
ejpam-5665	261	9	optical	optical	ADJ
ejpam-5665	261	10	solutions	solution	NOUN
ejpam-5665	261	11	of	of	ADP
ejpam-5665	261	12	the	the	DET
ejpam-5665	261	13	stochastic	stochastic	ADJ
ejpam-5665	261	14	nonlinear	nonlinear	PROPN
ejpam-5665	261	15	kodama	kodama	PROPN
ejpam-5665	261	16	equation	equation	NOUN
ejpam-5665	261	17	using	use	VERB
ejpam-5665	261	18	two	two	NUM
ejpam-5665	261	19	different	different	ADJ
ejpam-5665	261	20	methods	method	NOUN
ejpam-5665	261	21	.	.	PUNCT
ejpam-5665	262	1	journal	journal	NOUN
ejpam-5665	262	2	of	of	ADP
ejpam-5665	262	3	low	low	ADJ
ejpam-5665	262	4	frequency	frequency	NOUN
ejpam-5665	262	5	noise	noise	NOUN
ejpam-5665	262	6	,	,	PUNCT
ejpam-5665	262	7	vibration	vibration	NOUN
ejpam-5665	262	8	and	and	CCONJ
ejpam-5665	262	9	active	active	ADJ
ejpam-5665	262	10	control	control	NOUN
ejpam-5665	262	11	,	,	PUNCT
ejpam-5665	262	12	43:1939–1952	43:1939–1952	NOUN
ejpam-5665	262	13	,	,	PUNCT
ejpam-5665	262	14	2024	2024	NUM
ejpam-5665	262	15	.	.	PUNCT
ejpam-5665	263	1	[	[	X
ejpam-5665	263	2	5	5	X
ejpam-5665	263	3	]	]	X
ejpam-5665	263	4	a.h	a.h	PROPN
ejpam-5665	263	5	.	.	PROPN
ejpam-5665	263	6	bhrawy	bhrawy	PROPN
ejpam-5665	263	7	,	,	PUNCT
ejpam-5665	263	8	m.a	m.a	PROPN
ejpam-5665	263	9	.	.	PROPN
ejpam-5665	263	10	abdelkawy	abdelkawy	PROPN
ejpam-5665	263	11	,	,	PUNCT
ejpam-5665	263	12	s.	s.	PROPN
ejpam-5665	263	13	kumar	kumar	PROPN
ejpam-5665	263	14	,	,	PUNCT
ejpam-5665	263	15	s.	s.	PROPN
ejpam-5665	263	16	johnson	johnson	PROPN
ejpam-5665	263	17	,	,	PUNCT
ejpam-5665	263	18	and	and	CCONJ
ejpam-5665	263	19	a.	a.	PROPN
ejpam-5665	263	20	biswas	biswas	PROPN
ejpam-5665	263	21	.	.	PUNCT
ejpam-5665	264	1	solitons	soliton	NOUN
ejpam-5665	264	2	and	and	CCONJ
ejpam-5665	264	3	other	other	ADJ
ejpam-5665	264	4	solutions	solution	NOUN
ejpam-5665	264	5	to	to	ADP
ejpam-5665	264	6	quantum	quantum	ADJ
ejpam-5665	264	7	zakharov	zakharov	ADJ
ejpam-5665	264	8	–	–	PUNCT
ejpam-5665	264	9	kuznetsov	kuznetsov	ADJ
ejpam-5665	264	10	equation	equation	NOUN
ejpam-5665	264	11	in	in	ADP
ejpam-5665	264	12	quantum	quantum	ADJ
ejpam-5665	264	13	magnetoplasmas	magnetoplasma	NOUN
ejpam-5665	264	14	.	.	PUNCT
ejpam-5665	265	1	indian	indian	PROPN
ejpam-5665	265	2	journal	journal	PROPN
ejpam-5665	265	3	of	of	ADP
ejpam-5665	265	4	physics	physics	PROPN
ejpam-5665	265	5	,	,	PUNCT
ejpam-5665	265	6	87:455–463	87:455–463	NUM
ejpam-5665	265	7	,	,	PUNCT
ejpam-5665	265	8	2013	2013	NUM
ejpam-5665	265	9	.	.	PUNCT
ejpam-5665	266	1	[	[	X
ejpam-5665	266	2	6	6	NUM
ejpam-5665	266	3	]	]	PUNCT
ejpam-5665	266	4	g.	g.	NOUN
ejpam-5665	266	5	ebadi	ebadi	PROPN
ejpam-5665	266	6	,	,	PUNCT
ejpam-5665	266	7	a.	a.	PROPN
ejpam-5665	266	8	mojaver	mojaver	PROPN
ejpam-5665	266	9	,	,	PUNCT
ejpam-5665	266	10	d.	d.	PROPN
ejpam-5665	266	11	milovic	milovic	PROPN
ejpam-5665	266	12	,	,	PUNCT
ejpam-5665	266	13	et	et	PROPN
ejpam-5665	266	14	al	al	PROPN
ejpam-5665	266	15	.	.	PUNCT
ejpam-5665	266	16	solitons	soliton	NOUN
ejpam-5665	266	17	and	and	CCONJ
ejpam-5665	266	18	other	other	ADJ
ejpam-5665	266	19	solutions	solution	NOUN
ejpam-5665	266	20	to	to	ADP
ejpam-5665	266	21	the	the	DET
ejpam-5665	266	22	quantum	quantum	ADJ
ejpam-5665	266	23	zakharov	zakharov	ADJ
ejpam-5665	266	24	-	-	PUNCT
ejpam-5665	266	25	kuznetsov	kuznetsov	NOUN
ejpam-5665	266	26	equation	equation	NOUN
ejpam-5665	266	27	.	.	PUNCT
ejpam-5665	267	1	astrophysics	astrophysic	NOUN
ejpam-5665	267	2	and	and	CCONJ
ejpam-5665	267	3	space	space	NOUN
ejpam-5665	267	4	science	science	NOUN
ejpam-5665	267	5	,	,	PUNCT
ejpam-5665	267	6	341:507–513	341:507–513	NUM
ejpam-5665	267	7	,	,	PUNCT
ejpam-5665	267	8	2012	2012	NUM
ejpam-5665	267	9	.	.	PUNCT
ejpam-5665	268	1	[	[	X
ejpam-5665	268	2	7	7	X
ejpam-5665	268	3	]	]	X
ejpam-5665	268	4	e.a	e.a	PROPN
ejpam-5665	268	5	.	.	PROPN
ejpam-5665	268	6	kuznetsov	kuznetsov	PROPN
ejpam-5665	268	7	and	and	CCONJ
ejpam-5665	268	8	v.e	v.e	PROPN
ejpam-5665	268	9	.	.	PROPN
ejpam-5665	268	10	zakharov	zakharov	PROPN
ejpam-5665	268	11	.	.	PUNCT
ejpam-5665	269	1	on	on	ADP
ejpam-5665	269	2	three	three	NUM
ejpam-5665	269	3	dimensional	dimensional	ADJ
ejpam-5665	269	4	solitons	soliton	NOUN
ejpam-5665	269	5	.	.	PUNCT
ejpam-5665	270	1	soviet	soviet	ADJ
ejpam-5665	270	2	physicsjetp	physicsjetp	PROPN
ejpam-5665	270	3	,	,	PUNCT
ejpam-5665	270	4	39:285–286	39:285–286	NUM
ejpam-5665	270	5	,	,	PUNCT
ejpam-5665	270	6	1974	1974	NUM
ejpam-5665	270	7	.	.	PUNCT
ejpam-5665	271	1	w.	w.	PROPN
ejpam-5665	271	2	w.	w.	PROPN
ejpam-5665	271	3	mohammed	mohammed	PROPN
ejpam-5665	271	4	et	et	PROPN
ejpam-5665	271	5	al	al	PROPN
ejpam-5665	271	6	.	.	PUNCT
ejpam-5665	271	7	/	/	SYM
ejpam-5665	271	8	eur	eur	PROPN
ejpam-5665	271	9	.	.	PUNCT
ejpam-5665	272	1	j.	j.	PROPN
ejpam-5665	272	2	pure	pure	PROPN
ejpam-5665	272	3	appl	appl	PROPN
ejpam-5665	272	4	.	.	PROPN
ejpam-5665	272	5	math	math	PROPN
ejpam-5665	272	6	,	,	PUNCT
ejpam-5665	272	7	18	18	NUM
ejpam-5665	272	8	(	(	PUNCT
ejpam-5665	272	9	1	1	NUM
ejpam-5665	272	10	)	)	PUNCT
ejpam-5665	272	11	(	(	PUNCT
ejpam-5665	272	12	2025	2025	NUM
ejpam-5665	272	13	)	)	PUNCT
ejpam-5665	272	14	,	,	PUNCT
ejpam-5665	272	15	5665	5665	NUM
ejpam-5665	272	16	14	14	NUM
ejpam-5665	272	17	of	of	ADP
ejpam-5665	272	18	14	14	NUM
ejpam-5665	273	1	[	[	SYM
ejpam-5665	273	2	8	8	NUM
ejpam-5665	273	3	]	]	SYM
ejpam-5665	273	4	w.w	w.w	PROPN
ejpam-5665	273	5	.	.	PROPN
ejpam-5665	273	6	mohammed	mohammed	PROPN
ejpam-5665	273	7	.	.	PROPN
ejpam-5665	274	1	approximate	approximate	ADJ
ejpam-5665	274	2	solution	solution	NOUN
ejpam-5665	274	3	of	of	ADP
ejpam-5665	274	4	the	the	DET
ejpam-5665	274	5	kuramoto	kuramoto	NOUN
ejpam-5665	274	6	-	-	PUNCT
ejpam-5665	274	7	shivashinsky	shivashinsky	NOUN
ejpam-5665	274	8	equation	equation	NOUN
ejpam-5665	274	9	on	on	ADP
ejpam-5665	274	10	an	an	DET
ejpam-5665	274	11	unbounded	unbounded	ADJ
ejpam-5665	274	12	domain	domain	NOUN
ejpam-5665	274	13	.	.	PUNCT
ejpam-5665	275	1	chinese	chinese	ADJ
ejpam-5665	275	2	annals	annal	NOUN
ejpam-5665	275	3	of	of	ADP
ejpam-5665	275	4	mathematics	mathematic	NOUN
ejpam-5665	275	5	,	,	PUNCT
ejpam-5665	275	6	series	series	NOUN
ejpam-5665	275	7	b	b	PROPN
ejpam-5665	275	8	,	,	PUNCT
ejpam-5665	275	9	39:145–162	39:145–162	PROPN
ejpam-5665	275	10	,	,	PUNCT
ejpam-5665	275	11	2018	2018	NUM
ejpam-5665	275	12	.	.	PUNCT
ejpam-5665	276	1	[	[	X
ejpam-5665	276	2	9	9	NUM
ejpam-5665	276	3	]	]	SYM
ejpam-5665	276	4	w.w	w.w	PROPN
ejpam-5665	276	5	.	.	PROPN
ejpam-5665	276	6	mohammed	mohammed	PROPN
ejpam-5665	276	7	,	,	PUNCT
ejpam-5665	276	8	f.m	f.m	PROPN
ejpam-5665	276	9	.	.	PROPN
ejpam-5665	276	10	al	al	PROPN
ejpam-5665	276	11	-	-	PUNCT
ejpam-5665	276	12	askar	askar	PROPN
ejpam-5665	276	13	,	,	PUNCT
ejpam-5665	276	14	c.	c.	PROPN
ejpam-5665	276	15	cesarano	cesarano	PROPN
ejpam-5665	276	16	,	,	PUNCT
ejpam-5665	276	17	and	and	CCONJ
ejpam-5665	276	18	m.	m.	PROPN
ejpam-5665	276	19	el	el	PROPN
ejpam-5665	276	20	-	-	PUNCT
ejpam-5665	276	21	morshedy	morshedy	PROPN
ejpam-5665	276	22	.	.	PUNCT
ejpam-5665	277	1	solitary	solitary	ADJ
ejpam-5665	277	2	wave	wave	NOUN
ejpam-5665	277	3	solutions	solution	NOUN
ejpam-5665	277	4	of	of	ADP
ejpam-5665	277	5	the	the	PRON
ejpam-5665	277	6	fractional	fractional	ADJ
ejpam-5665	277	7	-	-	PUNCT
ejpam-5665	277	8	stochastic	stochastic	ADJ
ejpam-5665	277	9	quantum	quantum	ADJ
ejpam-5665	277	10	zakharov	zakharov	ADJ
ejpam-5665	277	11	–	–	PUNCT
ejpam-5665	277	12	kuznetsov	kuznetsov	NOUN
ejpam-5665	278	1	equation	equation	NOUN
ejpam-5665	278	2	arises	arise	VERB
ejpam-5665	278	3	in	in	ADP
ejpam-5665	278	4	quantum	quantum	ADJ
ejpam-5665	278	5	magneto	magneto	NOUN
ejpam-5665	278	6	plasma	plasma	NOUN
ejpam-5665	278	7	.	.	PUNCT
ejpam-5665	279	1	mathematics	mathematic	NOUN
ejpam-5665	279	2	,	,	PUNCT
ejpam-5665	279	3	11(2):488	11(2):488	NOUN
ejpam-5665	279	4	,	,	PUNCT
ejpam-5665	279	5	2023	2023	NUM
ejpam-5665	279	6	.	.	PUNCT
ejpam-5665	280	1	[	[	X
ejpam-5665	280	2	10	10	NUM
ejpam-5665	280	3	]	]	X
ejpam-5665	280	4	m.s	m.s	PROPN
ejpam-5665	280	5	.	.	PROPN
ejpam-5665	280	6	osman	osman	PROPN
ejpam-5665	280	7	.	.	PUNCT
ejpam-5665	281	1	multi	multi	ADJ
ejpam-5665	281	2	-	-	ADJ
ejpam-5665	281	3	soliton	soliton	ADJ
ejpam-5665	281	4	rational	rational	ADJ
ejpam-5665	281	5	solutions	solution	NOUN
ejpam-5665	281	6	for	for	ADP
ejpam-5665	281	7	quantum	quantum	ADJ
ejpam-5665	281	8	zakharov	zakharov	ADJ
ejpam-5665	281	9	-	-	PUNCT
ejpam-5665	281	10	kuznetsov	kuznetsov	NOUN
ejpam-5665	281	11	equation	equation	NOUN
ejpam-5665	281	12	in	in	ADP
ejpam-5665	281	13	quantum	quantum	ADJ
ejpam-5665	281	14	magnetoplasmas	magnetoplasma	NOUN
ejpam-5665	281	15	.	.	PUNCT
ejpam-5665	282	1	waves	wave	NOUN
ejpam-5665	282	2	in	in	ADP
ejpam-5665	282	3	random	random	ADJ
ejpam-5665	282	4	and	and	CCONJ
ejpam-5665	282	5	complex	complex	ADJ
ejpam-5665	282	6	media	medium	NOUN
ejpam-5665	282	7	,	,	PUNCT
ejpam-5665	282	8	26(4):434	26(4):434	NUM
ejpam-5665	282	9	–	–	PUNCT
ejpam-5665	282	10	443	443	NUM
ejpam-5665	282	11	,	,	PUNCT
ejpam-5665	282	12	2016	2016	NUM
ejpam-5665	282	13	.	.	PUNCT
ejpam-5665	283	1	[	[	X
ejpam-5665	283	2	11	11	NUM
ejpam-5665	283	3	]	]	X
ejpam-5665	283	4	y.z	y.z	PROPN
ejpam-5665	283	5	.	.	PROPN
ejpam-5665	283	6	peng	peng	PROPN
ejpam-5665	283	7	.	.	PUNCT
ejpam-5665	284	1	exact	exact	ADJ
ejpam-5665	284	2	solutions	solution	NOUN
ejpam-5665	284	3	for	for	ADP
ejpam-5665	284	4	some	some	DET
ejpam-5665	284	5	nonlinear	nonlinear	ADJ
ejpam-5665	284	6	partial	partial	ADJ
ejpam-5665	284	7	differential	differential	NOUN
ejpam-5665	284	8	equations	equation	NOUN
ejpam-5665	284	9	.	.	PUNCT
ejpam-5665	285	1	physics	physics	NOUN
ejpam-5665	285	2	letter	letter	NOUN
ejpam-5665	285	3	a	a	DET
ejpam-5665	285	4	,	,	PUNCT
ejpam-5665	285	5	314:401–408	314:401–408	NUM
ejpam-5665	285	6	,	,	PUNCT
ejpam-5665	285	7	2013	2013	NUM
ejpam-5665	285	8	.	.	PUNCT
ejpam-5665	286	1	[	[	X
ejpam-5665	286	2	12	12	NUM
ejpam-5665	286	3	]	]	X
ejpam-5665	286	4	f.	f.	PROPN
ejpam-5665	286	5	wanga	wanga	PROPN
ejpam-5665	286	6	,	,	PUNCT
ejpam-5665	286	7	i.	i.	PROPN
ejpam-5665	286	8	ahmad	ahmad	PROPN
ejpam-5665	286	9	,	,	PUNCT
ejpam-5665	286	10	h.	h.	PROPN
ejpam-5665	286	11	ahmad	ahmad	PROPN
ejpam-5665	286	12	,	,	PUNCT
ejpam-5665	286	13	m.d	m.d	PROPN
ejpam-5665	286	14	.	.	PROPN
ejpam-5665	286	15	alsulami	alsulami	PROPN
ejpam-5665	286	16	,	,	PUNCT
ejpam-5665	286	17	k.s	k.s	PROPN
ejpam-5665	286	18	.	.	PROPN
ejpam-5665	286	19	alimgeer	alimgeer	PROPN
ejpam-5665	286	20	,	,	PUNCT
ejpam-5665	286	21	c.	c.	PROPN
ejpam-5665	286	22	cesarano	cesarano	PROPN
ejpam-5665	286	23	,	,	PUNCT
ejpam-5665	286	24	and	and	CCONJ
ejpam-5665	286	25	t.a	t.a	PROPN
ejpam-5665	286	26	.	.	PROPN
ejpam-5665	286	27	nofal	nofal	PROPN
ejpam-5665	286	28	.	.	PUNCT
ejpam-5665	287	1	meshless	meshless	ADJ
ejpam-5665	287	2	method	method	NOUN
ejpam-5665	287	3	based	base	VERB
ejpam-5665	287	4	on	on	ADP
ejpam-5665	287	5	rbfs	rbfs	NOUN
ejpam-5665	287	6	for	for	ADP
ejpam-5665	287	7	solving	solve	VERB
ejpam-5665	287	8	three	three	NUM
ejpam-5665	287	9	-	-	PUNCT
ejpam-5665	287	10	dimensional	dimensional	ADJ
ejpam-5665	287	11	multiterm	multiterm	NOUN
ejpam-5665	287	12	time	time	NOUN
ejpam-5665	287	13	-	-	PUNCT
ejpam-5665	287	14	fractional	fractional	ADJ
ejpam-5665	287	15	pdes	pde	NOUN
ejpam-5665	287	16	arising	arise	VERB
ejpam-5665	287	17	in	in	ADP
ejpam-5665	287	18	engineering	engineering	NOUN
ejpam-5665	287	19	phenomenons	phenomenon	NOUN
ejpam-5665	287	20	.	.	PUNCT
ejpam-5665	288	1	journal	journal	PROPN
ejpam-5665	288	2	of	of	ADP
ejpam-5665	288	3	king	king	PROPN
ejpam-5665	288	4	saud	saud	PROPN
ejpam-5665	288	5	university	university	PROPN
ejpam-5665	288	6	-	-	PUNCT
ejpam-5665	288	7	science	science	NOUN
ejpam-5665	288	8	,	,	PUNCT
ejpam-5665	288	9	33(8):101604	33(8):101604	NUM
ejpam-5665	288	10	,	,	PUNCT
ejpam-5665	288	11	2021	2021	NUM
ejpam-5665	288	12	.	.	PUNCT
ejpam-5665	289	1	[	[	X
ejpam-5665	289	2	13	13	NUM
ejpam-5665	289	3	]	]	X
ejpam-5665	289	4	e.h.m	e.h.m	NOUN
ejpam-5665	289	5	.	.	PUNCT
ejpam-5665	290	1	zahrana	zahrana	PROPN
ejpam-5665	290	2	and	and	CCONJ
ejpam-5665	290	3	m.m.a	m.m.a	NOUN
ejpam-5665	290	4	.	.	PUNCT
ejpam-5665	291	1	khater	khater	PROPN
ejpam-5665	291	2	.	.	PUNCT
ejpam-5665	292	1	modified	modify	VERB
ejpam-5665	292	2	extended	extend	VERB
ejpam-5665	292	3	tanh	tanh	NOUN
ejpam-5665	292	4	-	-	PUNCT
ejpam-5665	292	5	function	function	NOUN
ejpam-5665	292	6	method	method	NOUN
ejpam-5665	292	7	and	and	CCONJ
ejpam-5665	292	8	its	its	PRON
ejpam-5665	292	9	applications	application	NOUN
ejpam-5665	292	10	to	to	ADP
ejpam-5665	292	11	the	the	DET
ejpam-5665	292	12	bogoyavlenskii	bogoyavlenskii	ADJ
ejpam-5665	292	13	equation	equation	NOUN
ejpam-5665	292	14	.	.	PUNCT
ejpam-5665	293	1	applied	apply	VERB
ejpam-5665	293	2	mathematical	mathematical	ADJ
ejpam-5665	293	3	modelling	modelling	NOUN
ejpam-5665	293	4	,	,	PUNCT
ejpam-5665	293	5	3:1769–1775	3:1769–1775	NUM
ejpam-5665	293	6	,	,	PUNCT
ejpam-5665	293	7	2016	2016	NUM
ejpam-5665	293	8	.	.	PUNCT
ejpam-5665	294	1	[	[	X
ejpam-5665	294	2	14	14	NUM
ejpam-5665	294	3	]	]	PUNCT
ejpam-5665	294	4	e.m.e	e.m.e	NOUN
ejpam-5665	294	5	.	.	PUNCT
ejpam-5665	295	1	zayed	zayed	ADJ
ejpam-5665	295	2	and	and	CCONJ
ejpam-5665	295	3	k.a.e	k.a.e	PROPN
ejpam-5665	295	4	.	.	PROPN
ejpam-5665	295	5	alurrfi	alurrfi	PROPN
ejpam-5665	295	6	.	.	PROPN
ejpam-5665	296	1	extended	extend	VERB
ejpam-5665	296	2	generalized	generalize	VERB
ejpam-5665	296	3	(	(	PUNCT
ejpam-5665	296	4	g′/g)-expansion	g′/g)-expansion	NOUN
ejpam-5665	296	5	method	method	NOUN
ejpam-5665	296	6	for	for	ADP
ejpam-5665	296	7	solving	solve	VERB
ejpam-5665	296	8	the	the	DET
ejpam-5665	296	9	nonlinear	nonlinear	ADJ
ejpam-5665	296	10	quantum	quantum	ADJ
ejpam-5665	296	11	zakharov	zakharov	ADJ
ejpam-5665	296	12	–	–	PUNCT
ejpam-5665	296	13	kuznetsov	kuznetsov	NOUN
ejpam-5665	296	14	equation	equation	NOUN
ejpam-5665	296	15	.	.	PUNCT
ejpam-5665	297	1	ricerche	ricerche	PROPN
ejpam-5665	297	2	di	di	PROPN
ejpam-5665	297	3	matematica	matematica	PROPN
ejpam-5665	297	4	,	,	PUNCT
ejpam-5665	297	5	65:235–254	65:235–254	PROPN
ejpam-5665	297	6	,	,	PUNCT
ejpam-5665	297	7	2016	2016	NUM
ejpam-5665	297	8	.	.	PUNCT
ejpam-5665	298	1	[	[	X
ejpam-5665	298	2	15	15	NUM
ejpam-5665	298	3	]	]	X
ejpam-5665	298	4	b.	b.	PROPN
ejpam-5665	298	5	zhang	zhang	PROPN
ejpam-5665	298	6	,	,	PUNCT
ejpam-5665	298	7	z.	z.	PROPN
ejpam-5665	298	8	liu	liu	PROPN
ejpam-5665	298	9	,	,	PUNCT
ejpam-5665	298	10	and	and	CCONJ
ejpam-5665	298	11	q.	q.	PROPN
ejpam-5665	298	12	xiaob	xiaob	PROPN
ejpam-5665	298	13	.	.	PUNCT
ejpam-5665	299	1	new	new	ADJ
ejpam-5665	299	2	exact	exact	ADJ
ejpam-5665	299	3	solitary	solitary	ADJ
ejpam-5665	299	4	wave	wave	NOUN
ejpam-5665	299	5	and	and	CCONJ
ejpam-5665	299	6	multiple	multiple	ADJ
ejpam-5665	299	7	soliton	soliton	NOUN
ejpam-5665	299	8	solutions	solution	NOUN
ejpam-5665	299	9	of	of	ADP
ejpam-5665	299	10	quantum	quantum	ADJ
ejpam-5665	299	11	zakharov	zakharov	ADJ
ejpam-5665	299	12	-	-	PUNCT
ejpam-5665	299	13	kuznetsov	kuznetsov	NOUN
ejpam-5665	299	14	equation	equation	NOUN
ejpam-5665	299	15	.	.	PUNCT
ejpam-5665	300	1	applied	apply	VERB
ejpam-5665	300	2	and	and	CCONJ
ejpam-5665	300	3	computational	computational	ADJ
ejpam-5665	300	4	mathematics	mathematic	NOUN
ejpam-5665	300	5	,	,	PUNCT
ejpam-5665	300	6	217:392–402	217:392–402	NUM
ejpam-5665	300	7	,	,	PUNCT
ejpam-5665	300	8	2010	2010	NUM
ejpam-5665	300	9	.	.	PUNCT
ejpam-5665	301	1	[	[	X
ejpam-5665	301	2	16	16	NUM
ejpam-5665	301	3	]	]	X
ejpam-5665	301	4	c.	c.	PROPN
ejpam-5665	301	5	zhang	zhang	PROPN
ejpam-5665	301	6	.	.	PROPN
ejpam-5665	302	1	analytical	analytical	PROPN
ejpam-5665	302	2	and	and	CCONJ
ejpam-5665	302	3	numerical	numerical	ADJ
ejpam-5665	302	4	solutions	solution	NOUN
ejpam-5665	302	5	for	for	ADP
ejpam-5665	302	6	the	the	DET
ejpam-5665	302	7	(	(	PUNCT
ejpam-5665	302	8	3	3	NUM
ejpam-5665	302	9	+	+	NOUN
ejpam-5665	302	10	1)-dimensional	1)-dimensional	ADJ
ejpam-5665	302	11	extended	extended	ADJ
ejpam-5665	302	12	quantum	quantum	ADJ
ejpam-5665	302	13	zakharov	zakharov	ADJ
ejpam-5665	302	14	-	-	PUNCT
ejpam-5665	302	15	kuznetsov	kuznetsov	NOUN
ejpam-5665	302	16	equation	equation	NOUN
ejpam-5665	302	17	.	.	PUNCT
ejpam-5665	303	1	applied	apply	VERB
ejpam-5665	303	2	and	and	CCONJ
ejpam-5665	303	3	computational	computational	ADJ
ejpam-5665	303	4	mathematics	mathematic	NOUN
ejpam-5665	303	5	,	,	PUNCT
ejpam-5665	303	6	11(3):74–80	11(3):74–80	NUM
ejpam-5665	303	7	,	,	PUNCT
ejpam-5665	303	8	2022	2022	NUM
ejpam-5665	303	9	.	.	PUNCT