id	sid	tid	token	lemma	pos
ejpam-7172	1	1	european	european	PROPN
ejpam-7172	1	2	journal	journal	PROPN
ejpam-7172	1	3	of	of	ADP
ejpam-7172	1	4	pure	pure	ADJ
ejpam-7172	1	5	and	and	CCONJ
ejpam-7172	1	6	applied	applied	ADJ
ejpam-7172	1	7	mathematics	mathematic	NOUN
ejpam-7172	1	8	2025	2025	NUM
ejpam-7172	1	9	,	,	PUNCT
ejpam-7172	1	10	vol	vol	NOUN
ejpam-7172	1	11	.	.	PROPN
ejpam-7172	1	12	18	18	NUM
ejpam-7172	1	13	,	,	PUNCT
ejpam-7172	1	14	issue	issue	NOUN
ejpam-7172	1	15	4	4	NUM
ejpam-7172	1	16	,	,	PUNCT
ejpam-7172	1	17	article	article	NOUN
ejpam-7172	1	18	number	number	NOUN
ejpam-7172	1	19	7172	7172	NUM
ejpam-7172	1	20	issn	issn	VERB
ejpam-7172	1	21	1307	1307	NUM
ejpam-7172	1	22	-	-	SYM
ejpam-7172	1	23	5543	5543	NUM
ejpam-7172	1	24	–	–	PUNCT
ejpam-7172	1	25	ejpam.com	ejpam.com	X
ejpam-7172	1	26	published	publish	VERB
ejpam-7172	1	27	by	by	ADP
ejpam-7172	1	28	new	new	PROPN
ejpam-7172	1	29	york	york	PROPN
ejpam-7172	1	30	business	business	PROPN
ejpam-7172	1	31	global	global	ADJ
ejpam-7172	1	32	new	new	ADJ
ejpam-7172	1	33	trigonometric	trigonometric	ADJ
ejpam-7172	1	34	and	and	CCONJ
ejpam-7172	1	35	hyperbolic	hyperbolic	ADJ
ejpam-7172	1	36	stochastic	stochastic	ADJ
ejpam-7172	1	37	fractional	fractional	ADJ
ejpam-7172	1	38	solutions	solution	NOUN
ejpam-7172	1	39	for	for	ADP
ejpam-7172	1	40	the	the	DET
ejpam-7172	1	41	conformable	conformable	ADJ
ejpam-7172	1	42	derivative	derivative	NOUN
ejpam-7172	1	43	coupled	couple	VERB
ejpam-7172	1	44	schrödinger	schrödinger	ADJ
ejpam-7172	1	45	-	-	PUNCT
ejpam-7172	1	46	kdv	kdv	NOUN
ejpam-7172	1	47	equations	equation	NOUN
ejpam-7172	1	48	using	use	VERB
ejpam-7172	1	49	sardar	sardar	PROPN
ejpam-7172	1	50	subequation	subequation	PROPN
ejpam-7172	1	51	method	method	PROPN
ejpam-7172	1	52	wael	wael	PROPN
ejpam-7172	1	53	w.	w.	PROPN
ejpam-7172	1	54	mohammed1,∗	mohammed1,∗	PROPN
ejpam-7172	1	55	,	,	PUNCT
ejpam-7172	1	56	naveed	naveed	PROPN
ejpam-7172	1	57	iqbal1	iqbal1	PROPN
ejpam-7172	1	58	,	,	PUNCT
ejpam-7172	1	59	hijyah	hijyah	PROPN
ejpam-7172	1	60	m.	m.	NOUN
ejpam-7172	1	61	alshammary1	alshammary1	PROPN
ejpam-7172	1	62	,	,	PUNCT
ejpam-7172	1	63	f.	f.	PROPN
ejpam-7172	1	64	gassem1	gassem1	PROPN
ejpam-7172	1	65	,	,	PUNCT
ejpam-7172	1	66	mohamed	mohamed	PROPN
ejpam-7172	1	67	s.	s.	PROPN
ejpam-7172	1	68	algolam1	algolam1	PROPN
ejpam-7172	1	69	1	1	NUM
ejpam-7172	1	70	department	department	NOUN
ejpam-7172	1	71	of	of	ADP
ejpam-7172	1	72	mathematics	mathematic	NOUN
ejpam-7172	1	73	,	,	PUNCT
ejpam-7172	1	74	college	college	NOUN
ejpam-7172	1	75	of	of	ADP
ejpam-7172	1	76	science	science	NOUN
ejpam-7172	1	77	,	,	PUNCT
ejpam-7172	1	78	university	university	NOUN
ejpam-7172	1	79	of	of	ADP
ejpam-7172	1	80	ha’il	ha’il	PROPN
ejpam-7172	1	81	,	,	PUNCT
ejpam-7172	1	82	ha’il	ha’il	PROPN
ejpam-7172	1	83	2440	2440	NUM
ejpam-7172	1	84	,	,	PUNCT
ejpam-7172	1	85	saudi	saudi	PROPN
ejpam-7172	1	86	arabia	arabia	PROPN
ejpam-7172	1	87	abstract	abstract	NOUN
ejpam-7172	1	88	.	.	PUNCT
ejpam-7172	2	1	in	in	ADP
ejpam-7172	2	2	this	this	DET
ejpam-7172	2	3	paper	paper	NOUN
ejpam-7172	2	4	,	,	PUNCT
ejpam-7172	2	5	we	we	PRON
ejpam-7172	2	6	look	look	VERB
ejpam-7172	2	7	at	at	ADP
ejpam-7172	2	8	the	the	DET
ejpam-7172	2	9	stochastic	stochastic	NOUN
ejpam-7172	2	10	coupled	couple	VERB
ejpam-7172	2	11	schrödinger	schrödinger	ADJ
ejpam-7172	2	12	-	-	PUNCT
ejpam-7172	2	13	kdv	kdv	NOUN
ejpam-7172	2	14	equations	equation	NOUN
ejpam-7172	2	15	with	with	ADP
ejpam-7172	2	16	conformable	conformable	ADJ
ejpam-7172	2	17	derivative	derivative	ADJ
ejpam-7172	2	18	operator	operator	NOUN
ejpam-7172	2	19	(	(	PUNCT
ejpam-7172	2	20	scs	scs	ADJ
ejpam-7172	2	21	-	-	PUNCT
ejpam-7172	2	22	kdves	kdve	NOUN
ejpam-7172	2	23	-	-	PUNCT
ejpam-7172	2	24	cdo	cdo	NOUN
ejpam-7172	2	25	)	)	PUNCT
ejpam-7172	2	26	.	.	PUNCT
ejpam-7172	3	1	by	by	ADP
ejpam-7172	3	2	using	use	VERB
ejpam-7172	3	3	the	the	DET
ejpam-7172	3	4	sardar	sardar	PROPN
ejpam-7172	3	5	subequation	subequation	NOUN
ejpam-7172	3	6	method	method	NOUN
ejpam-7172	3	7	(	(	PUNCT
ejpam-7172	3	8	ssmethod	ssmethod	NOUN
ejpam-7172	3	9	)	)	PUNCT
ejpam-7172	3	10	,	,	PUNCT
ejpam-7172	3	11	we	we	PRON
ejpam-7172	3	12	can	can	AUX
ejpam-7172	3	13	obtain	obtain	VERB
ejpam-7172	3	14	results	result	NOUN
ejpam-7172	3	15	such	such	ADJ
ejpam-7172	3	16	as	as	ADP
ejpam-7172	3	17	periodic	periodic	ADJ
ejpam-7172	3	18	soliton	soliton	NOUN
ejpam-7172	3	19	,	,	PUNCT
ejpam-7172	3	20	bright	bright	ADJ
ejpam-7172	3	21	soliton	soliton	NOUN
ejpam-7172	3	22	,	,	PUNCT
ejpam-7172	3	23	dark	dark	ADJ
ejpam-7172	3	24	-	-	PUNCT
ejpam-7172	3	25	bright	bright	ADJ
ejpam-7172	3	26	soliton	soliton	NOUN
ejpam-7172	3	27	and	and	CCONJ
ejpam-7172	3	28	singular	singular	PROPN
ejpam-7172	3	29	soliton	soliton	NOUN
ejpam-7172	3	30	.	.	PUNCT
ejpam-7172	4	1	some	some	DET
ejpam-7172	4	2	previous	previous	ADJ
ejpam-7172	4	3	solutions	solution	NOUN
ejpam-7172	4	4	of	of	ADP
ejpam-7172	4	5	coupled	couple	VERB
ejpam-7172	4	6	schrödinger	schrödinger	ADJ
ejpam-7172	4	7	-	-	PUNCT
ejpam-7172	4	8	kdv	kdv	NOUN
ejpam-7172	4	9	equations	equation	NOUN
ejpam-7172	4	10	are	be	AUX
ejpam-7172	4	11	obtained	obtain	VERB
ejpam-7172	4	12	when	when	SCONJ
ejpam-7172	4	13	the	the	DET
ejpam-7172	4	14	order	order	NOUN
ejpam-7172	4	15	of	of	ADP
ejpam-7172	4	16	derivatives	derivative	NOUN
ejpam-7172	4	17	is	be	AUX
ejpam-7172	4	18	integer	integer	NOUN
ejpam-7172	4	19	and	and	CCONJ
ejpam-7172	4	20	noise	noise	NOUN
ejpam-7172	4	21	is	be	AUX
ejpam-7172	4	22	ignored	ignore	VERB
ejpam-7172	4	23	.	.	PUNCT
ejpam-7172	5	1	due	due	ADP
ejpam-7172	5	2	to	to	ADP
ejpam-7172	5	3	the	the	DET
ejpam-7172	5	4	important	important	ADJ
ejpam-7172	5	5	applications	application	NOUN
ejpam-7172	5	6	of	of	ADP
ejpam-7172	5	7	the	the	DET
ejpam-7172	5	8	coupled	couple	VERB
ejpam-7172	5	9	schrödinger	schrödinger	ADJ
ejpam-7172	5	10	-	-	PUNCT
ejpam-7172	5	11	kdv	kdv	NOUN
ejpam-7172	5	12	equations	equation	NOUN
ejpam-7172	5	13	in	in	ADP
ejpam-7172	5	14	dusty	dusty	ADJ
ejpam-7172	5	15	plasma	plasma	NOUN
ejpam-7172	5	16	,	,	PUNCT
ejpam-7172	5	17	such	such	ADJ
ejpam-7172	5	18	as	as	ADP
ejpam-7172	5	19	dust	dust	NOUN
ejpam-7172	5	20	-	-	PUNCT
ejpam-7172	5	21	acoustic	acoustic	ADJ
ejpam-7172	5	22	waves	wave	NOUN
ejpam-7172	5	23	,	,	PUNCT
ejpam-7172	5	24	electromagnetic	electromagnetic	ADJ
ejpam-7172	5	25	waves	wave	NOUN
ejpam-7172	5	26	,	,	PUNCT
ejpam-7172	5	27	and	and	CCONJ
ejpam-7172	5	28	langmuir	langmuir	PROPN
ejpam-7172	5	29	waves	wave	NOUN
ejpam-7172	5	30	,	,	PUNCT
ejpam-7172	5	31	these	these	PRON
ejpam-7172	5	32	obtained	obtain	VERB
ejpam-7172	5	33	solutions	solution	NOUN
ejpam-7172	5	34	might	might	AUX
ejpam-7172	5	35	be	be	AUX
ejpam-7172	5	36	utilized	utilize	VERB
ejpam-7172	5	37	to	to	ADP
ejpam-7172	5	38	the	the	DET
ejpam-7172	5	39	analysis	analysis	NOUN
ejpam-7172	5	40	of	of	ADP
ejpam-7172	5	41	many	many	ADJ
ejpam-7172	5	42	fundamental	fundamental	ADJ
ejpam-7172	5	43	physical	physical	ADJ
ejpam-7172	5	44	phenomena	phenomenon	NOUN
ejpam-7172	5	45	.	.	PUNCT
ejpam-7172	6	1	furthermore	furthermore	ADV
ejpam-7172	6	2	,	,	PUNCT
ejpam-7172	6	3	the	the	DET
ejpam-7172	6	4	effects	effect	NOUN
ejpam-7172	6	5	of	of	ADP
ejpam-7172	6	6	the	the	DET
ejpam-7172	6	7	conformable	conformable	ADJ
ejpam-7172	6	8	derivative	derivative	ADJ
ejpam-7172	6	9	operator	operator	NOUN
ejpam-7172	6	10	and	and	CCONJ
ejpam-7172	6	11	the	the	DET
ejpam-7172	6	12	noise	noise	NOUN
ejpam-7172	6	13	term	term	NOUN
ejpam-7172	6	14	on	on	ADP
ejpam-7172	6	15	the	the	DET
ejpam-7172	6	16	analytical	analytical	ADJ
ejpam-7172	6	17	solution	solution	NOUN
ejpam-7172	6	18	of	of	ADP
ejpam-7172	6	19	the	the	DET
ejpam-7172	6	20	scs	scs	PROPN
ejpam-7172	6	21	-	-	PUNCT
ejpam-7172	6	22	kdves	kdve	NOUN
ejpam-7172	6	23	-	-	PUNCT
ejpam-7172	6	24	cdo	cdo	NOUN
ejpam-7172	6	25	were	be	AUX
ejpam-7172	6	26	illustrated	illustrate	VERB
ejpam-7172	6	27	by	by	ADP
ejpam-7172	6	28	simulating	simulate	VERB
ejpam-7172	6	29	some	some	DET
ejpam-7172	6	30	solutions	solution	NOUN
ejpam-7172	6	31	via	via	ADP
ejpam-7172	6	32	the	the	DET
ejpam-7172	6	33	matlab	matlab	PROPN
ejpam-7172	6	34	program	program	NOUN
ejpam-7172	6	35	.	.	PUNCT
ejpam-7172	7	1	2020	2020	NUM
ejpam-7172	7	2	mathematics	mathematics	PROPN
ejpam-7172	7	3	subject	subject	NOUN
ejpam-7172	7	4	classifications	classification	NOUN
ejpam-7172	7	5	:	:	PUNCT
ejpam-7172	7	6	35a20	35a20	NUM
ejpam-7172	7	7	,	,	PUNCT
ejpam-7172	7	8	60h10	60h10	NUM
ejpam-7172	7	9	,	,	PUNCT
ejpam-7172	7	10	60h15	60h15	NUM
ejpam-7172	7	11	,	,	PUNCT
ejpam-7172	7	12	35q51	35q51	NUM
ejpam-7172	7	13	,	,	PUNCT
ejpam-7172	7	14	35q80	35q80	NUM
ejpam-7172	7	15	key	key	ADJ
ejpam-7172	7	16	words	word	NOUN
ejpam-7172	7	17	and	and	CCONJ
ejpam-7172	7	18	phrases	phrase	NOUN
ejpam-7172	7	19	:	:	PUNCT
ejpam-7172	7	20	exact	exact	ADJ
ejpam-7172	7	21	solutions	solution	NOUN
ejpam-7172	7	22	,	,	PUNCT
ejpam-7172	7	23	stochastic	stochastic	ADJ
ejpam-7172	7	24	process	process	NOUN
ejpam-7172	7	25	,	,	PUNCT
ejpam-7172	7	26	stochastic	stochastic	ADJ
ejpam-7172	7	27	soliton	soliton	NOUN
ejpam-7172	7	28	solutions	solution	NOUN
ejpam-7172	7	29	,	,	PUNCT
ejpam-7172	7	30	stability	stability	NOUN
ejpam-7172	7	31	by	by	ADP
ejpam-7172	7	32	noise	noise	NOUN
ejpam-7172	7	33	1	1	NUM
ejpam-7172	7	34	.	.	PUNCT
ejpam-7172	8	1	introduction	introduction	NOUN
ejpam-7172	8	2	fractional	fractional	ADJ
ejpam-7172	8	3	partial	partial	ADJ
ejpam-7172	8	4	differential	differential	NOUN
ejpam-7172	8	5	equations	equation	NOUN
ejpam-7172	8	6	(	(	PUNCT
ejpam-7172	8	7	fpdes	fpde	NOUN
ejpam-7172	8	8	)	)	PUNCT
ejpam-7172	8	9	represent	represent	VERB
ejpam-7172	8	10	a	a	DET
ejpam-7172	8	11	powerful	powerful	ADJ
ejpam-7172	8	12	mathematical	mathematical	ADJ
ejpam-7172	8	13	tool	tool	NOUN
ejpam-7172	8	14	for	for	ADP
ejpam-7172	8	15	modeling	modeling	NOUN
ejpam-7172	8	16	and	and	CCONJ
ejpam-7172	8	17	understanding	understand	VERB
ejpam-7172	8	18	complex	complex	ADJ
ejpam-7172	8	19	systems	system	NOUN
ejpam-7172	8	20	.	.	PUNCT
ejpam-7172	9	1	by	by	ADP
ejpam-7172	9	2	incorporating	incorporate	VERB
ejpam-7172	9	3	fractional	fractional	ADJ
ejpam-7172	9	4	derivatives	derivative	NOUN
ejpam-7172	9	5	,	,	PUNCT
ejpam-7172	9	6	these	these	DET
ejpam-7172	9	7	equations	equation	NOUN
ejpam-7172	9	8	can	can	AUX
ejpam-7172	9	9	capture	capture	VERB
ejpam-7172	9	10	the	the	DET
ejpam-7172	9	11	non	non	ADJ
ejpam-7172	9	12	-	-	ADJ
ejpam-7172	9	13	local	local	ADJ
ejpam-7172	9	14	and	and	CCONJ
ejpam-7172	9	15	memory	memory	NOUN
ejpam-7172	9	16	effects	effect	NOUN
ejpam-7172	9	17	that	that	PRON
ejpam-7172	9	18	are	be	AUX
ejpam-7172	9	19	often	often	ADV
ejpam-7172	9	20	present	present	ADJ
ejpam-7172	9	21	in	in	ADP
ejpam-7172	9	22	real	real	ADJ
ejpam-7172	9	23	-	-	PUNCT
ejpam-7172	9	24	world	world	NOUN
ejpam-7172	9	25	phenomena	phenomenon	NOUN
ejpam-7172	9	26	.	.	PUNCT
ejpam-7172	10	1	as	as	SCONJ
ejpam-7172	10	2	research	research	NOUN
ejpam-7172	10	3	in	in	ADP
ejpam-7172	10	4	this	this	DET
ejpam-7172	10	5	area	area	NOUN
ejpam-7172	10	6	continues	continue	VERB
ejpam-7172	10	7	to	to	PART
ejpam-7172	10	8	advance	advance	VERB
ejpam-7172	10	9	,	,	PUNCT
ejpam-7172	10	10	we	we	PRON
ejpam-7172	10	11	can	can	AUX
ejpam-7172	10	12	anticipate	anticipate	VERB
ejpam-7172	10	13	seeing	see	VERB
ejpam-7172	10	14	even	even	ADV
ejpam-7172	10	15	more	more	ADJ
ejpam-7172	10	16	applications	application	NOUN
ejpam-7172	10	17	of	of	ADP
ejpam-7172	10	18	fractional	fractional	ADJ
ejpam-7172	10	19	partial	partial	ADJ
ejpam-7172	10	20	differential	differential	ADJ
ejpam-7172	10	21	equations	equation	NOUN
ejpam-7172	10	22	in	in	ADP
ejpam-7172	10	23	various	various	ADJ
ejpam-7172	10	24	engineering	engineering	NOUN
ejpam-7172	10	25	and	and	CCONJ
ejpam-7172	10	26	scientific	scientific	ADJ
ejpam-7172	10	27	disciplines	discipline	NOUN
ejpam-7172	10	28	.	.	PUNCT
ejpam-7172	11	1	recently	recently	ADV
ejpam-7172	11	2	,	,	PUNCT
ejpam-7172	11	3	numerous	numerous	ADJ
ejpam-7172	11	4	powerful	powerful	ADJ
ejpam-7172	11	5	approaches	approach	NOUN
ejpam-7172	11	6	for	for	ADP
ejpam-7172	11	7	discovering	discover	VERB
ejpam-7172	11	8	∗corresponding	∗corresponde	VERB
ejpam-7172	11	9	author	author	NOUN
ejpam-7172	11	10	.	.	PUNCT
ejpam-7172	12	1	doi	doi	NOUN
ejpam-7172	12	2	:	:	PUNCT
ejpam-7172	12	3	https://doi.org/10.29020/nybg.ejpam.v18i4.7172	https://doi.org/10.29020/nybg.ejpam.v18i4.7172	NOUN
ejpam-7172	12	4	email	email	NOUN
ejpam-7172	12	5	addresses	address	NOUN
ejpam-7172	12	6	:	:	PUNCT
ejpam-7172	12	7	w.mohammed@uoh.edu.sa	w.mohammed@uoh.edu.sa	PROPN
ejpam-7172	12	8	(	(	PUNCT
ejpam-7172	12	9	w.	w.	PROPN
ejpam-7172	12	10	w.	w.	PROPN
ejpam-7172	12	11	mohammed	mohammed	PROPN
ejpam-7172	12	12	)	)	PUNCT
ejpam-7172	12	13	,	,	PUNCT
ejpam-7172	12	14	n.iqbal@uoh.edu.sa	n.iqbal@uoh.edu.sa	PROPN
ejpam-7172	13	1	(	(	PUNCT
ejpam-7172	13	2	n.	n.	PROPN
ejpam-7172	13	3	iqbal	iqbal	PROPN
ejpam-7172	13	4	)	)	PUNCT
ejpam-7172	13	5	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-7172	14	1	1	1	NUM
ejpam-7172	14	2	copyright	copyright	NOUN
ejpam-7172	14	3	:	:	PUNCT
ejpam-7172	14	4	©	©	PROPN
ejpam-7172	14	5	2025	2025	NUM
ejpam-7172	14	6	the	the	DET
ejpam-7172	14	7	author(s	author(s	NOUN
ejpam-7172	14	8	)	)	PUNCT
ejpam-7172	14	9	.	.	PUNCT
ejpam-7172	15	1	(	(	PUNCT
ejpam-7172	15	2	cc	cc	NOUN
ejpam-7172	15	3	by	by	ADP
ejpam-7172	15	4	-	-	PUNCT
ejpam-7172	15	5	nc	nc	PROPN
ejpam-7172	15	6	4.0	4.0	NUM
ejpam-7172	15	7	)	)	PUNCT
ejpam-7172	15	8	w.	w.	PROPN
ejpam-7172	15	9	w.	w.	PROPN
ejpam-7172	15	10	mohammed	mohammed	PROPN
ejpam-7172	15	11	et	et	PROPN
ejpam-7172	15	12	al	al	PROPN
ejpam-7172	15	13	.	.	PUNCT
ejpam-7172	15	14	/	/	SYM
ejpam-7172	15	15	eur	eur	PROPN
ejpam-7172	15	16	.	.	PUNCT
ejpam-7172	16	1	j.	j.	PROPN
ejpam-7172	16	2	pure	pure	PROPN
ejpam-7172	16	3	appl	appl	PROPN
ejpam-7172	16	4	.	.	PROPN
ejpam-7172	16	5	math	math	PROPN
ejpam-7172	16	6	,	,	PUNCT
ejpam-7172	16	7	18	18	NUM
ejpam-7172	16	8	(	(	PUNCT
ejpam-7172	16	9	4	4	NUM
ejpam-7172	16	10	)	)	PUNCT
ejpam-7172	16	11	(	(	PUNCT
ejpam-7172	16	12	2025	2025	NUM
ejpam-7172	16	13	)	)	PUNCT
ejpam-7172	16	14	,	,	PUNCT
ejpam-7172	16	15	7172	7172	NUM
ejpam-7172	16	16	2	2	NUM
ejpam-7172	16	17	of	of	ADP
ejpam-7172	16	18	22	22	NUM
ejpam-7172	16	19	exact	exact	ADJ
ejpam-7172	16	20	solutions	solution	NOUN
ejpam-7172	16	21	to	to	ADP
ejpam-7172	16	22	pdes	pde	NOUN
ejpam-7172	16	23	have	have	AUX
ejpam-7172	16	24	been	be	AUX
ejpam-7172	16	25	introduced	introduce	VERB
ejpam-7172	16	26	,	,	PUNCT
ejpam-7172	16	27	such	such	ADJ
ejpam-7172	16	28	as	as	ADP
ejpam-7172	16	29	sine	sine	ADJ
ejpam-7172	16	30	-	-	PUNCT
ejpam-7172	16	31	gordon	gordon	NOUN
ejpam-7172	16	32	expansion	expansion	NOUN
ejpam-7172	16	33	technique	technique	NOUN
ejpam-7172	16	34	[	[	X
ejpam-7172	16	35	1	1	NUM
ejpam-7172	16	36	]	]	PUNCT
ejpam-7172	16	37	,	,	PUNCT
ejpam-7172	16	38	modified	modify	VERB
ejpam-7172	16	39	mapping	mapping	NOUN
ejpam-7172	16	40	method	method	NOUN
ejpam-7172	16	41	[	[	X
ejpam-7172	16	42	2	2	NUM
ejpam-7172	16	43	]	]	PUNCT
ejpam-7172	16	44	,	,	PUNCT
ejpam-7172	16	45	f	f	X
ejpam-7172	16	46	-	-	PUNCT
ejpam-7172	16	47	expansion	expansion	NOUN
ejpam-7172	16	48	method	method	NOUN
ejpam-7172	16	49	[	[	X
ejpam-7172	16	50	3	3	NUM
ejpam-7172	16	51	,	,	PUNCT
ejpam-7172	16	52	4	4	NUM
ejpam-7172	16	53	]	]	PUNCT
ejpam-7172	16	54	,	,	PUNCT
ejpam-7172	16	55	(	(	PUNCT
ejpam-7172	16	56	g′/g)-expansion	g′/g)-expansion	NOUN
ejpam-7172	17	1	[	[	X
ejpam-7172	17	2	5	5	NUM
ejpam-7172	17	3	,	,	PUNCT
ejpam-7172	17	4	6	6	NUM
ejpam-7172	17	5	]	]	PUNCT
ejpam-7172	17	6	,	,	PUNCT
ejpam-7172	17	7	sine	sine	ADJ
ejpam-7172	17	8	-	-	PUNCT
ejpam-7172	17	9	cosine	cosine	NOUN
ejpam-7172	17	10	method	method	NOUN
ejpam-7172	17	11	[	[	X
ejpam-7172	17	12	7	7	NUM
ejpam-7172	17	13	]	]	PUNCT
ejpam-7172	17	14	,	,	PUNCT
ejpam-7172	17	15	modified	modify	VERB
ejpam-7172	17	16	extended	extended	ADJ
ejpam-7172	17	17	tanh	tanh	NOUN
ejpam-7172	17	18	-	-	PUNCT
ejpam-7172	17	19	function	function	NOUN
ejpam-7172	17	20	method	method	NOUN
ejpam-7172	17	21	[	[	X
ejpam-7172	17	22	8	8	NUM
ejpam-7172	17	23	]	]	PUNCT
ejpam-7172	17	24	,	,	PUNCT
ejpam-7172	17	25	exp	exp	NOUN
ejpam-7172	17	26	-	-	PUNCT
ejpam-7172	17	27	function	function	NOUN
ejpam-7172	17	28	method	method	NOUN
ejpam-7172	17	29	[	[	X
ejpam-7172	17	30	9	9	NUM
ejpam-7172	17	31	]	]	PUNCT
ejpam-7172	17	32	,	,	PUNCT
ejpam-7172	17	33	exp(−ϕ(ς))-expansion	exp(−ϕ(ς))-expansion	NOUN
ejpam-7172	17	34	method	method	NOUN
ejpam-7172	17	35	[	[	X
ejpam-7172	17	36	10	10	NUM
ejpam-7172	17	37	]	]	PUNCT
ejpam-7172	17	38	,	,	PUNCT
ejpam-7172	17	39	riccati	riccati	PROPN
ejpam-7172	17	40	equation	equation	NOUN
ejpam-7172	17	41	method	method	NOUN
ejpam-7172	17	42	[	[	X
ejpam-7172	17	43	11	11	NUM
ejpam-7172	17	44	]	]	PUNCT
ejpam-7172	17	45	,	,	PUNCT
ejpam-7172	17	46	jacobi	jacobi	PROPN
ejpam-7172	17	47	elliptic	elliptic	ADJ
ejpam-7172	17	48	function	function	NOUN
ejpam-7172	17	49	expansion	expansion	NOUN
ejpam-7172	18	1	[	[	X
ejpam-7172	18	2	12	12	NUM
ejpam-7172	18	3	]	]	PUNCT
ejpam-7172	18	4	,	,	PUNCT
ejpam-7172	18	5	the	the	DET
ejpam-7172	18	6	riccati	riccati	NOUN
ejpam-7172	18	7	-	-	PUNCT
ejpam-7172	18	8	bernoulli	bernoulli	PROPN
ejpam-7172	18	9	sub	sub	ADJ
ejpam-7172	18	10	-	-	ADJ
ejpam-7172	18	11	ode	ode	ADJ
ejpam-7172	18	12	method	method	NOUN
ejpam-7172	18	13	[	[	X
ejpam-7172	18	14	13	13	NUM
ejpam-7172	18	15	,	,	PUNCT
ejpam-7172	18	16	14	14	NUM
ejpam-7172	18	17	]	]	PUNCT
ejpam-7172	18	18	and	and	CCONJ
ejpam-7172	18	19	etc	etc	X
ejpam-7172	18	20	.	.	X
ejpam-7172	18	21	one	one	NUM
ejpam-7172	18	22	of	of	ADP
ejpam-7172	18	23	these	these	DET
ejpam-7172	18	24	equations	equation	NOUN
ejpam-7172	18	25	is	be	AUX
ejpam-7172	18	26	coupled	couple	VERB
ejpam-7172	18	27	schrödinger	schrödinger	ADJ
ejpam-7172	18	28	-	-	PUNCT
ejpam-7172	18	29	kdv	kdv	NOUN
ejpam-7172	18	30	(	(	PUNCT
ejpam-7172	18	31	cs	cs	ADJ
ejpam-7172	18	32	-	-	ADJ
ejpam-7172	18	33	kdv	kdv	ADJ
ejpam-7172	18	34	)	)	PUNCT
ejpam-7172	18	35	equation	equation	NOUN
ejpam-7172	18	36	.	.	PUNCT
ejpam-7172	19	1	the	the	DET
ejpam-7172	19	2	cskdv	cskdv	ADJ
ejpam-7172	19	3	equations	equation	NOUN
ejpam-7172	19	4	are	be	AUX
ejpam-7172	19	5	a	a	DET
ejpam-7172	19	6	powerful	powerful	ADJ
ejpam-7172	19	7	mathematical	mathematical	ADJ
ejpam-7172	19	8	model	model	NOUN
ejpam-7172	19	9	that	that	PRON
ejpam-7172	19	10	combines	combine	VERB
ejpam-7172	19	11	the	the	DET
ejpam-7172	19	12	kdv	kdv	NOUN
ejpam-7172	19	13	equation	equation	NOUN
ejpam-7172	19	14	and	and	CCONJ
ejpam-7172	19	15	the	the	DET
ejpam-7172	19	16	schrödinger	schrödinger	ADJ
ejpam-7172	19	17	equation	equation	NOUN
ejpam-7172	19	18	to	to	PART
ejpam-7172	19	19	describe	describe	VERB
ejpam-7172	19	20	the	the	DET
ejpam-7172	19	21	interaction	interaction	NOUN
ejpam-7172	19	22	between	between	ADP
ejpam-7172	19	23	nonlinear	nonlinear	ADJ
ejpam-7172	19	24	waves	wave	NOUN
ejpam-7172	19	25	and	and	CCONJ
ejpam-7172	19	26	quantum	quantum	NOUN
ejpam-7172	19	27	particles	particle	NOUN
ejpam-7172	19	28	.	.	PUNCT
ejpam-7172	20	1	this	this	DET
ejpam-7172	20	2	equation	equation	NOUN
ejpam-7172	20	3	offers	offer	VERB
ejpam-7172	20	4	a	a	DET
ejpam-7172	20	5	flexible	flexible	ADJ
ejpam-7172	20	6	and	and	CCONJ
ejpam-7172	20	7	accurate	accurate	ADJ
ejpam-7172	20	8	framework	framework	NOUN
ejpam-7172	20	9	for	for	ADP
ejpam-7172	20	10	studying	study	VERB
ejpam-7172	20	11	a	a	DET
ejpam-7172	20	12	wide	wide	ADJ
ejpam-7172	20	13	range	range	NOUN
ejpam-7172	20	14	of	of	ADP
ejpam-7172	20	15	physical	physical	ADJ
ejpam-7172	20	16	phenomena	phenomenon	NOUN
ejpam-7172	20	17	,	,	PUNCT
ejpam-7172	20	18	including	include	VERB
ejpam-7172	20	19	solitons	soliton	NOUN
ejpam-7172	20	20	,	,	PUNCT
ejpam-7172	20	21	quantum	quantum	NOUN
ejpam-7172	20	22	chaos	chaos	NOUN
ejpam-7172	20	23	,	,	PUNCT
ejpam-7172	20	24	and	and	CCONJ
ejpam-7172	20	25	complex	complex	ADJ
ejpam-7172	20	26	wave	wave	NOUN
ejpam-7172	20	27	dynamics	dynamic	NOUN
ejpam-7172	20	28	.	.	PUNCT
ejpam-7172	21	1	by	by	ADP
ejpam-7172	21	2	incorporating	incorporate	VERB
ejpam-7172	21	3	conformable	conformable	ADJ
ejpam-7172	21	4	derivative	derivative	ADJ
ejpam-7172	21	5	operator	operator	NOUN
ejpam-7172	21	6	,	,	PUNCT
ejpam-7172	21	7	the	the	DET
ejpam-7172	21	8	cs	cs	ADJ
ejpam-7172	21	9	-	-	PUNCT
ejpam-7172	21	10	kdv	kdv	NOUN
ejpam-7172	21	11	equations	equation	NOUN
ejpam-7172	21	12	provides	provide	VERB
ejpam-7172	21	13	a	a	DET
ejpam-7172	21	14	versatile	versatile	ADJ
ejpam-7172	21	15	tool	tool	NOUN
ejpam-7172	21	16	for	for	ADP
ejpam-7172	21	17	researchers	researcher	NOUN
ejpam-7172	21	18	in	in	ADP
ejpam-7172	21	19	various	various	ADJ
ejpam-7172	21	20	scientific	scientific	ADJ
ejpam-7172	21	21	disciplines	discipline	NOUN
ejpam-7172	21	22	to	to	PART
ejpam-7172	21	23	explore	explore	VERB
ejpam-7172	21	24	the	the	DET
ejpam-7172	21	25	intricate	intricate	ADJ
ejpam-7172	21	26	relationships	relationship	NOUN
ejpam-7172	21	27	between	between	ADP
ejpam-7172	21	28	quantum	quantum	ADJ
ejpam-7172	21	29	mechanics	mechanic	NOUN
ejpam-7172	21	30	and	and	CCONJ
ejpam-7172	21	31	nonlinear	nonlinear	ADJ
ejpam-7172	21	32	wave	wave	NOUN
ejpam-7172	21	33	propagation	propagation	NOUN
ejpam-7172	21	34	.	.	PUNCT
ejpam-7172	22	1	on	on	ADP
ejpam-7172	22	2	other	other	ADJ
ejpam-7172	22	3	side	side	NOUN
ejpam-7172	22	4	,	,	PUNCT
ejpam-7172	22	5	including	include	VERB
ejpam-7172	22	6	a	a	DET
ejpam-7172	22	7	random	random	ADJ
ejpam-7172	22	8	term	term	NOUN
ejpam-7172	22	9	into	into	ADP
ejpam-7172	22	10	coupled	couple	VERB
ejpam-7172	22	11	schrödinger	schrödinger	ADJ
ejpam-7172	22	12	-	-	PUNCT
ejpam-7172	22	13	kdv	kdv	NOUN
ejpam-7172	22	14	equations	equation	NOUN
ejpam-7172	22	15	is	be	AUX
ejpam-7172	22	16	important	important	ADJ
ejpam-7172	22	17	because	because	SCONJ
ejpam-7172	22	18	it	it	PRON
ejpam-7172	22	19	introduces	introduce	VERB
ejpam-7172	22	20	an	an	DET
ejpam-7172	22	21	element	element	NOUN
ejpam-7172	22	22	of	of	ADP
ejpam-7172	22	23	realism	realism	NOUN
ejpam-7172	22	24	and	and	CCONJ
ejpam-7172	22	25	flexibility	flexibility	NOUN
ejpam-7172	22	26	.	.	PUNCT
ejpam-7172	23	1	in	in	ADP
ejpam-7172	23	2	real	real	ADJ
ejpam-7172	23	3	-	-	PUNCT
ejpam-7172	23	4	world	world	NOUN
ejpam-7172	23	5	scenarios	scenario	NOUN
ejpam-7172	23	6	,	,	PUNCT
ejpam-7172	23	7	systems	system	NOUN
ejpam-7172	23	8	often	often	ADV
ejpam-7172	23	9	experience	experience	VERB
ejpam-7172	23	10	random	random	ADJ
ejpam-7172	23	11	disturbances	disturbance	NOUN
ejpam-7172	23	12	and	and	CCONJ
ejpam-7172	23	13	fluctuations	fluctuation	NOUN
ejpam-7172	23	14	,	,	PUNCT
ejpam-7172	23	15	such	such	ADJ
ejpam-7172	23	16	as	as	ADP
ejpam-7172	23	17	noise	noise	NOUN
ejpam-7172	23	18	or	or	CCONJ
ejpam-7172	23	19	variability	variability	NOUN
ejpam-7172	23	20	in	in	ADP
ejpam-7172	23	21	the	the	DET
ejpam-7172	23	22	environment	environment	NOUN
ejpam-7172	23	23	.	.	PUNCT
ejpam-7172	24	1	by	by	ADP
ejpam-7172	24	2	incorporating	incorporate	VERB
ejpam-7172	24	3	a	a	DET
ejpam-7172	24	4	random	random	ADJ
ejpam-7172	24	5	term	term	NOUN
ejpam-7172	24	6	,	,	PUNCT
ejpam-7172	24	7	mathematicians	mathematician	NOUN
ejpam-7172	24	8	and	and	CCONJ
ejpam-7172	24	9	physicists	physicist	NOUN
ejpam-7172	24	10	can	can	AUX
ejpam-7172	24	11	simulate	simulate	VERB
ejpam-7172	24	12	and	and	CCONJ
ejpam-7172	24	13	analyze	analyze	VERB
ejpam-7172	24	14	how	how	SCONJ
ejpam-7172	24	15	these	these	DET
ejpam-7172	24	16	unpredictable	unpredictable	ADJ
ejpam-7172	24	17	influences	influence	NOUN
ejpam-7172	24	18	affect	affect	VERB
ejpam-7172	24	19	the	the	DET
ejpam-7172	24	20	behavior	behavior	NOUN
ejpam-7172	24	21	and	and	CCONJ
ejpam-7172	24	22	evolution	evolution	NOUN
ejpam-7172	24	23	of	of	ADP
ejpam-7172	24	24	waves	wave	NOUN
ejpam-7172	24	25	within	within	ADP
ejpam-7172	24	26	these	these	DET
ejpam-7172	24	27	systems	system	NOUN
ejpam-7172	24	28	.	.	PUNCT
ejpam-7172	25	1	this	this	PRON
ejpam-7172	25	2	enhances	enhance	VERB
ejpam-7172	25	3	the	the	DET
ejpam-7172	25	4	accuracy	accuracy	NOUN
ejpam-7172	25	5	and	and	CCONJ
ejpam-7172	25	6	reliability	reliability	NOUN
ejpam-7172	25	7	of	of	ADP
ejpam-7172	25	8	the	the	DET
ejpam-7172	25	9	models	model	NOUN
ejpam-7172	25	10	used	use	VERB
ejpam-7172	25	11	to	to	PART
ejpam-7172	25	12	predict	predict	VERB
ejpam-7172	25	13	wave	wave	NOUN
ejpam-7172	25	14	phenomena	phenomena	PROPN
ejpam-7172	25	15	..	..	PUNCT
ejpam-7172	25	16	here	here	ADV
ejpam-7172	25	17	,	,	PUNCT
ejpam-7172	25	18	we	we	PRON
ejpam-7172	25	19	take	take	VERB
ejpam-7172	25	20	into	into	ADP
ejpam-7172	25	21	account	account	NOUN
ejpam-7172	25	22	the	the	DET
ejpam-7172	25	23	stochastic	stochastic	NOUN
ejpam-7172	25	24	coupled	couple	VERB
ejpam-7172	25	25	schrödinger	schrödinger	ADJ
ejpam-7172	25	26	-	-	PUNCT
ejpam-7172	25	27	kdv	kdv	NOUN
ejpam-7172	25	28	equations	equation	NOUN
ejpam-7172	25	29	with	with	ADP
ejpam-7172	25	30	conformable	conformable	ADJ
ejpam-7172	25	31	derivative	derivative	ADJ
ejpam-7172	25	32	operator	operator	NOUN
ejpam-7172	25	33	(	(	PUNCT
ejpam-7172	25	34	scs	scs	ADJ
ejpam-7172	25	35	-	-	PUNCT
ejpam-7172	25	36	kdves	kdve	NOUN
ejpam-7172	25	37	-	-	PUNCT
ejpam-7172	25	38	cdo	cdo	NOUN
ejpam-7172	25	39	)	)	PUNCT
ejpam-7172	25	40	as	as	SCONJ
ejpam-7172	25	41	follows	follow	VERB
ejpam-7172	25	42	:	:	PUNCT
ejpam-7172	26	1	zt	zt	PROPN
ejpam-7172	26	2	+	+	CCONJ
ejpam-7172	26	3	6zt	6zt	ADJ
ejpam-7172	26	4	α	α	PROPN
ejpam-7172	26	5	xz	xz	PROPN
ejpam-7172	27	1	+	+	CCONJ
ejpam-7172	27	2	t	t	PROPN
ejpam-7172	27	3	α	α	X
ejpam-7172	27	4	xxxz	xxxz	PROPN
ejpam-7172	28	1	=	=	PUNCT
ejpam-7172	28	2	t	t	PROPN
ejpam-7172	28	3	α	α	NOUN
ejpam-7172	28	4	x	x	INTJ
ejpam-7172	28	5	(	(	PUNCT
ejpam-7172	28	6	|y|2	|y|2	PROPN
ejpam-7172	28	7	)	)	PUNCT
ejpam-7172	29	1	+	+	CCONJ
ejpam-7172	29	2	ρzw	ρzw	PROPN
ejpam-7172	29	3	t	t	PROPN
ejpam-7172	29	4	,	,	PUNCT
ejpam-7172	29	5	iyt	iyt	NOUN
ejpam-7172	29	6	=	=	SYM
ejpam-7172	29	7	t	t	PROPN
ejpam-7172	29	8	α	α	PROPN
ejpam-7172	29	9	xxy	xxy	PROPN
ejpam-7172	29	10	−	−	PROPN
ejpam-7172	30	1	yz	yz	PROPN
ejpam-7172	30	2	+	+	CCONJ
ejpam-7172	30	3	iρywt	iρywt	NOUN
ejpam-7172	30	4	,	,	PUNCT
ejpam-7172	30	5	(	(	PUNCT
ejpam-7172	30	6	1	1	X
ejpam-7172	30	7	)	)	PUNCT
ejpam-7172	30	8	where	where	SCONJ
ejpam-7172	30	9	z(x	z(x	NUM
ejpam-7172	30	10	,	,	PUNCT
ejpam-7172	30	11	t	t	PROPN
ejpam-7172	30	12	)	)	PUNCT
ejpam-7172	30	13	is	be	AUX
ejpam-7172	30	14	the	the	DET
ejpam-7172	30	15	real	real	ADV
ejpam-7172	30	16	-	-	PUNCT
ejpam-7172	30	17	valued	value	VERB
ejpam-7172	30	18	function	function	NOUN
ejpam-7172	30	19	and	and	CCONJ
ejpam-7172	30	20	presents	present	VERB
ejpam-7172	30	21	a	a	DET
ejpam-7172	30	22	long	long	ADJ
ejpam-7172	30	23	wave	wave	NOUN
ejpam-7172	30	24	profile	profile	NOUN
ejpam-7172	30	25	while	while	SCONJ
ejpam-7172	30	26	y(x	y(x	PROPN
ejpam-7172	30	27	,	,	PUNCT
ejpam-7172	30	28	t	t	PROPN
ejpam-7172	30	29	)	)	PUNCT
ejpam-7172	30	30	is	be	AUX
ejpam-7172	30	31	the	the	DET
ejpam-7172	30	32	complex	complex	ADJ
ejpam-7172	30	33	function	function	NOUN
ejpam-7172	30	34	and	and	CCONJ
ejpam-7172	30	35	presents	present	VERB
ejpam-7172	30	36	the	the	DET
ejpam-7172	30	37	short	short	ADJ
ejpam-7172	30	38	wave	wave	NOUN
ejpam-7172	30	39	profile	profile	NOUN
ejpam-7172	30	40	;	;	PUNCT
ejpam-7172	30	41	t	t	PROPN
ejpam-7172	30	42	α	α	NOUN
ejpam-7172	30	43	is	be	AUX
ejpam-7172	30	44	the	the	DET
ejpam-7172	30	45	conformable	conformable	ADJ
ejpam-7172	30	46	derivative	derivative	ADJ
ejpam-7172	30	47	operator	operator	NOUN
ejpam-7172	30	48	[	[	X
ejpam-7172	30	49	15	15	NUM
ejpam-7172	30	50	]	]	X
ejpam-7172	30	51	for	for	ADP
ejpam-7172	30	52	0	0	NUM
ejpam-7172	30	53	<	<	X
ejpam-7172	30	54	α	α	PROPN
ejpam-7172	30	55	≤	≤	NUM
ejpam-7172	30	56	1	1	NUM
ejpam-7172	30	57	;	;	PUNCT
ejpam-7172	30	58	ρ	ρ	PROPN
ejpam-7172	30	59	is	be	AUX
ejpam-7172	30	60	the	the	DET
ejpam-7172	30	61	amplitude	amplitude	NOUN
ejpam-7172	30	62	of	of	ADP
ejpam-7172	30	63	noise	noise	NOUN
ejpam-7172	30	64	;	;	PUNCT
ejpam-7172	30	65	w	w	NOUN
ejpam-7172	30	66	is	be	AUX
ejpam-7172	30	67	a	a	DET
ejpam-7172	30	68	standard	standard	ADJ
ejpam-7172	30	69	wiener	wiener	NOUN
ejpam-7172	30	70	process	process	NOUN
ejpam-7172	30	71	and	and	CCONJ
ejpam-7172	30	72	wt	wt	NOUN
ejpam-7172	30	73	=	=	SYM
ejpam-7172	30	74	∂w	∂w	PROPN
ejpam-7172	30	75	∂t	∂t	PROPN
ejpam-7172	30	76	.	.	PUNCT
ejpam-7172	31	1	due	due	ADP
ejpam-7172	31	2	to	to	ADP
ejpam-7172	31	3	the	the	DET
ejpam-7172	31	4	importance	importance	NOUN
ejpam-7172	31	5	of	of	ADP
ejpam-7172	31	6	the	the	DET
ejpam-7172	31	7	cs	cs	ADJ
ejpam-7172	31	8	-	-	ADJ
ejpam-7172	31	9	kdv	kdv	ADJ
ejpam-7172	31	10	equation	equation	NOUN
ejpam-7172	31	11	in	in	ADP
ejpam-7172	31	12	soliton	soliton	NOUN
ejpam-7172	31	13	theory	theory	NOUN
ejpam-7172	31	14	,	,	PUNCT
ejpam-7172	31	15	mathematical	mathematical	ADJ
ejpam-7172	31	16	physics	physics	NOUN
ejpam-7172	31	17	and	and	CCONJ
ejpam-7172	31	18	hydrodynamics	hydrodynamic	NOUN
ejpam-7172	31	19	,	,	PUNCT
ejpam-7172	31	20	many	many	ADJ
ejpam-7172	31	21	authors	author	NOUN
ejpam-7172	31	22	have	have	AUX
ejpam-7172	31	23	obtained	obtain	VERB
ejpam-7172	31	24	its	its	PRON
ejpam-7172	31	25	solutions	solution	NOUN
ejpam-7172	31	26	by	by	ADP
ejpam-7172	31	27	applying	apply	VERB
ejpam-7172	31	28	different	different	ADJ
ejpam-7172	31	29	methods	method	NOUN
ejpam-7172	31	30	,	,	PUNCT
ejpam-7172	31	31	including	include	VERB
ejpam-7172	31	32	mapping	mapping	NOUN
ejpam-7172	31	33	method	method	NOUN
ejpam-7172	31	34	[	[	X
ejpam-7172	31	35	16	16	NUM
ejpam-7172	31	36	]	]	PUNCT
ejpam-7172	31	37	,	,	PUNCT
ejpam-7172	31	38	finite	finite	PROPN
ejpam-7172	31	39	element	element	NOUN
ejpam-7172	31	40	method	method	NOUN
ejpam-7172	31	41	[	[	X
ejpam-7172	31	42	17	17	NUM
ejpam-7172	31	43	]	]	PUNCT
ejpam-7172	31	44	kudryashov	kudryashov	PROPN
ejpam-7172	31	45	method	method	NOUN
ejpam-7172	32	1	[	[	X
ejpam-7172	32	2	18	18	NUM
ejpam-7172	32	3	]	]	PUNCT
ejpam-7172	32	4	,	,	PUNCT
ejpam-7172	32	5	adomian	adomian	NOUN
ejpam-7172	32	6	’s	’s	PART
ejpam-7172	32	7	decomposition	decomposition	NOUN
ejpam-7172	32	8	method	method	NOUN
ejpam-7172	32	9	[	[	X
ejpam-7172	32	10	19	19	NUM
ejpam-7172	32	11	]	]	PUNCT
ejpam-7172	32	12	,	,	PUNCT
ejpam-7172	32	13	petrov	petrov	PROPN
ejpam-7172	32	14	-	-	PUNCT
ejpam-7172	32	15	galerkin	galerkin	PROPN
ejpam-7172	32	16	method	method	NOUN
ejpam-7172	32	17	[	[	X
ejpam-7172	32	18	20	20	NUM
ejpam-7172	32	19	]	]	PUNCT
ejpam-7172	32	20	,	,	PUNCT
ejpam-7172	32	21	f	f	X
ejpam-7172	32	22	-	-	PUNCT
ejpam-7172	32	23	expansion	expansion	NOUN
ejpam-7172	32	24	method	method	NOUN
ejpam-7172	32	25	[	[	X
ejpam-7172	32	26	21	21	NUM
ejpam-7172	32	27	]	]	PUNCT
ejpam-7172	32	28	,	,	PUNCT
ejpam-7172	32	29	complex	complex	ADJ
ejpam-7172	32	30	hyperbolic	hyperbolic	ADJ
ejpam-7172	32	31	-	-	PUNCT
ejpam-7172	32	32	function	function	NOUN
ejpam-7172	32	33	method	method	NOUN
ejpam-7172	32	34	[	[	X
ejpam-7172	32	35	22	22	NUM
ejpam-7172	32	36	]	]	PUNCT
ejpam-7172	32	37	,	,	PUNCT
ejpam-7172	32	38	(	(	PUNCT
ejpam-7172	32	39	g′/g)-expansion	g′/g)-expansion	PROPN
ejpam-7172	32	40	method	method	NOUN
ejpam-7172	32	41	[	[	X
ejpam-7172	32	42	23	23	NUM
ejpam-7172	32	43	]	]	PUNCT
ejpam-7172	32	44	,	,	PUNCT
ejpam-7172	32	45	exp(−φ(ξ))-expansion	exp(−φ(ξ))-expansion	NOUN
ejpam-7172	32	46	method	method	NOUN
ejpam-7172	32	47	[	[	X
ejpam-7172	32	48	24	24	NUM
ejpam-7172	32	49	]	]	PUNCT
ejpam-7172	32	50	,	,	PUNCT
ejpam-7172	32	51	and	and	CCONJ
ejpam-7172	32	52	the	the	DET
ejpam-7172	32	53	mapping	mapping	NOUN
ejpam-7172	32	54	method	method	NOUN
ejpam-7172	32	55	[	[	X
ejpam-7172	32	56	25	25	NUM
ejpam-7172	32	57	]	]	PUNCT
ejpam-7172	32	58	.	.	PUNCT
ejpam-7172	33	1	while	while	SCONJ
ejpam-7172	33	2	the	the	DET
ejpam-7172	33	3	stochastic	stochastic	NOUN
ejpam-7172	33	4	coupled	couple	VERB
ejpam-7172	33	5	schrödinger	schrödinger	ADJ
ejpam-7172	33	6	-	-	PUNCT
ejpam-7172	33	7	kdv	kdv	NOUN
ejpam-7172	33	8	equations	equation	NOUN
ejpam-7172	33	9	with	with	ADP
ejpam-7172	33	10	conformable	conformable	ADJ
ejpam-7172	33	11	derivative	derivative	ADJ
ejpam-7172	33	12	operator	operator	NOUN
ejpam-7172	33	13	have	have	AUX
ejpam-7172	33	14	not	not	PART
ejpam-7172	33	15	been	be	AUX
ejpam-7172	33	16	investigated	investigate	VERB
ejpam-7172	33	17	before	before	ADV
ejpam-7172	33	18	.	.	PUNCT
ejpam-7172	34	1	our	our	PRON
ejpam-7172	34	2	novelty	novelty	NOUN
ejpam-7172	34	3	of	of	ADP
ejpam-7172	34	4	this	this	DET
ejpam-7172	34	5	work	work	NOUN
ejpam-7172	34	6	is	be	AUX
ejpam-7172	34	7	to	to	PART
ejpam-7172	34	8	obtain	obtain	VERB
ejpam-7172	34	9	the	the	DET
ejpam-7172	34	10	exact	exact	ADJ
ejpam-7172	34	11	solutions	solution	NOUN
ejpam-7172	34	12	for	for	ADP
ejpam-7172	34	13	the	the	DET
ejpam-7172	34	14	scs	scs	ADJ
ejpam-7172	34	15	-	-	PUNCT
ejpam-7172	34	16	kdves	kdve	NOUN
ejpam-7172	34	17	-	-	PUNCT
ejpam-7172	34	18	cdo	cdo	NOUN
ejpam-7172	34	19	(	(	PUNCT
ejpam-7172	34	20	1	1	NUM
ejpam-7172	34	21	)	)	PUNCT
ejpam-7172	34	22	.	.	PUNCT
ejpam-7172	35	1	the	the	DET
ejpam-7172	35	2	sardar	sardar	PROPN
ejpam-7172	35	3	subequation	subequation	NOUN
ejpam-7172	35	4	method	method	NOUN
ejpam-7172	35	5	(	(	PUNCT
ejpam-7172	35	6	ss	ss	NOUN
ejpam-7172	35	7	-	-	PUNCT
ejpam-7172	35	8	method	method	NOUN
ejpam-7172	35	9	)	)	PUNCT
ejpam-7172	35	10	is	be	AUX
ejpam-7172	35	11	used	use	VERB
ejpam-7172	35	12	to	to	PART
ejpam-7172	35	13	find	find	VERB
ejpam-7172	35	14	various	various	ADJ
ejpam-7172	35	15	types	type	NOUN
ejpam-7172	35	16	of	of	ADP
ejpam-7172	35	17	solutions	solution	NOUN
ejpam-7172	35	18	such	such	ADJ
ejpam-7172	35	19	as	as	ADP
ejpam-7172	35	20	periodic	periodic	ADJ
ejpam-7172	35	21	soliton	soliton	NOUN
ejpam-7172	35	22	,	,	PUNCT
ejpam-7172	35	23	bright	bright	ADJ
ejpam-7172	35	24	soliton	soliton	NOUN
ejpam-7172	35	25	,	,	PUNCT
ejpam-7172	35	26	dark	dark	ADJ
ejpam-7172	35	27	-	-	PUNCT
ejpam-7172	35	28	bright	bright	ADJ
ejpam-7172	35	29	soliton	soliton	NOUN
ejpam-7172	35	30	and	and	CCONJ
ejpam-7172	35	31	singular	singular	PROPN
ejpam-7172	35	32	soliton	soliton	NOUN
ejpam-7172	35	33	.	.	PUNCT
ejpam-7172	36	1	moreover	moreover	ADV
ejpam-7172	36	2	,	,	PUNCT
ejpam-7172	36	3	we	we	PRON
ejpam-7172	36	4	provide	provide	VERB
ejpam-7172	36	5	a	a	DET
ejpam-7172	36	6	number	number	NOUN
ejpam-7172	36	7	of	of	ADP
ejpam-7172	36	8	three	three	NUM
ejpam-7172	36	9	-	-	PUNCT
ejpam-7172	36	10	and	and	CCONJ
ejpam-7172	36	11	two	two	NUM
ejpam-7172	36	12	-	-	PUNCT
ejpam-7172	36	13	dimensional	dimensional	ADJ
ejpam-7172	36	14	graphs	graph	NOUN
ejpam-7172	36	15	to	to	PART
ejpam-7172	36	16	examine	examine	VERB
ejpam-7172	36	17	how	how	SCONJ
ejpam-7172	36	18	the	the	DET
ejpam-7172	36	19	wiener	wiener	NOUN
ejpam-7172	36	20	w.	w.	PROPN
ejpam-7172	36	21	w.	w.	PROPN
ejpam-7172	36	22	mohammed	mohammed	PROPN
ejpam-7172	36	23	et	et	PROPN
ejpam-7172	36	24	al	al	PROPN
ejpam-7172	36	25	.	.	PUNCT
ejpam-7172	36	26	/	/	SYM
ejpam-7172	36	27	eur	eur	PROPN
ejpam-7172	36	28	.	.	PUNCT
ejpam-7172	37	1	j.	j.	PROPN
ejpam-7172	37	2	pure	pure	PROPN
ejpam-7172	37	3	appl	appl	PROPN
ejpam-7172	37	4	.	.	PROPN
ejpam-7172	37	5	math	math	PROPN
ejpam-7172	37	6	,	,	PUNCT
ejpam-7172	37	7	18	18	NUM
ejpam-7172	37	8	(	(	PUNCT
ejpam-7172	37	9	4	4	NUM
ejpam-7172	37	10	)	)	PUNCT
ejpam-7172	37	11	(	(	PUNCT
ejpam-7172	37	12	2025	2025	NUM
ejpam-7172	37	13	)	)	PUNCT
ejpam-7172	37	14	,	,	PUNCT
ejpam-7172	37	15	7172	7172	NUM
ejpam-7172	37	16	3	3	NUM
ejpam-7172	37	17	of	of	ADP
ejpam-7172	37	18	22	22	NUM
ejpam-7172	37	19	process	process	NOUN
ejpam-7172	37	20	term	term	NOUN
ejpam-7172	37	21	affects	affect	VERB
ejpam-7172	37	22	on	on	ADP
ejpam-7172	37	23	the	the	DET
ejpam-7172	37	24	obtained	obtain	VERB
ejpam-7172	37	25	solutions	solution	NOUN
ejpam-7172	37	26	.	.	PUNCT
ejpam-7172	38	1	also	also	ADV
ejpam-7172	38	2	,	,	PUNCT
ejpam-7172	38	3	we	we	PRON
ejpam-7172	38	4	generalize	generalize	VERB
ejpam-7172	38	5	some	some	DET
ejpam-7172	38	6	early	early	ADJ
ejpam-7172	38	7	results	result	NOUN
ejpam-7172	38	8	such	such	ADJ
ejpam-7172	38	9	as	as	ADP
ejpam-7172	38	10	the	the	DET
ejpam-7172	38	11	results	result	NOUN
ejpam-7172	38	12	stated	state	VERB
ejpam-7172	38	13	in	in	ADP
ejpam-7172	38	14	[	[	X
ejpam-7172	38	15	16	16	NUM
ejpam-7172	38	16	,	,	PUNCT
ejpam-7172	38	17	21	21	NUM
ejpam-7172	38	18	]	]	PUNCT
ejpam-7172	38	19	.	.	PUNCT
ejpam-7172	39	1	the	the	DET
ejpam-7172	39	2	following	follow	VERB
ejpam-7172	39	3	is	be	AUX
ejpam-7172	39	4	an	an	DET
ejpam-7172	39	5	outline	outline	NOUN
ejpam-7172	39	6	of	of	ADP
ejpam-7172	39	7	the	the	DET
ejpam-7172	39	8	paper	paper	NOUN
ejpam-7172	39	9	:	:	PUNCT
ejpam-7172	39	10	the	the	DET
ejpam-7172	39	11	scs	scs	PROPN
ejpam-7172	39	12	-	-	PUNCT
ejpam-7172	39	13	kdves	kdve	NOUN
ejpam-7172	39	14	-	-	PUNCT
ejpam-7172	39	15	cdo	cdo	NOUN
ejpam-7172	39	16	(	(	PUNCT
ejpam-7172	39	17	1	1	NUM
ejpam-7172	39	18	)	)	PUNCT
ejpam-7172	39	19	wave	wave	NOUN
ejpam-7172	39	20	equation	equation	NOUN
ejpam-7172	39	21	is	be	AUX
ejpam-7172	39	22	given	give	VERB
ejpam-7172	39	23	in	in	ADP
ejpam-7172	39	24	sec	sec	PROPN
ejpam-7172	39	25	.	.	PROPN
ejpam-7172	39	26	2	2	NUM
ejpam-7172	39	27	,	,	PUNCT
ejpam-7172	39	28	while	while	SCONJ
ejpam-7172	39	29	sec	sec	PROPN
ejpam-7172	39	30	.	.	PROPN
ejpam-7172	39	31	3	3	NUM
ejpam-7172	39	32	states	state	VERB
ejpam-7172	39	33	the	the	DET
ejpam-7172	39	34	sardar	sardar	PROPN
ejpam-7172	39	35	subequation	subequation	NOUN
ejpam-7172	39	36	method	method	NOUN
ejpam-7172	39	37	.	.	PUNCT
ejpam-7172	40	1	in	in	ADP
ejpam-7172	40	2	sec	sec	PROPN
ejpam-7172	40	3	.	.	PROPN
ejpam-7172	40	4	4	4	NUM
ejpam-7172	40	5	,	,	PUNCT
ejpam-7172	40	6	we	we	PRON
ejpam-7172	40	7	get	get	VERB
ejpam-7172	40	8	the	the	DET
ejpam-7172	40	9	solutions	solution	NOUN
ejpam-7172	40	10	of	of	ADP
ejpam-7172	40	11	(	(	PUNCT
ejpam-7172	40	12	1	1	NUM
ejpam-7172	40	13	)	)	PUNCT
ejpam-7172	40	14	.	.	PUNCT
ejpam-7172	41	1	in	in	ADP
ejpam-7172	41	2	sec	sec	PROPN
ejpam-7172	41	3	.	.	PROPN
ejpam-7172	41	4	5	5	NUM
ejpam-7172	41	5	,	,	PUNCT
ejpam-7172	41	6	we	we	PRON
ejpam-7172	41	7	address	address	VERB
ejpam-7172	41	8	the	the	DET
ejpam-7172	41	9	effect	effect	NOUN
ejpam-7172	41	10	of	of	ADP
ejpam-7172	41	11	the	the	DET
ejpam-7172	41	12	wiener	wiener	NOUN
ejpam-7172	41	13	process	process	NOUN
ejpam-7172	41	14	term	term	NOUN
ejpam-7172	41	15	on	on	ADP
ejpam-7172	41	16	the	the	DET
ejpam-7172	41	17	solutions	solution	NOUN
ejpam-7172	41	18	of	of	ADP
ejpam-7172	41	19	the	the	DET
ejpam-7172	41	20	scs	scs	PROPN
ejpam-7172	41	21	-	-	PUNCT
ejpam-7172	41	22	kdves	kdve	NOUN
ejpam-7172	41	23	-	-	PUNCT
ejpam-7172	41	24	cdo	cdo	NOUN
ejpam-7172	41	25	(	(	PUNCT
ejpam-7172	41	26	1	1	NUM
ejpam-7172	41	27	)	)	PUNCT
ejpam-7172	41	28	.	.	PUNCT
ejpam-7172	42	1	the	the	DET
ejpam-7172	42	2	results	result	NOUN
ejpam-7172	42	3	acquired	acquire	VERB
ejpam-7172	42	4	for	for	ADP
ejpam-7172	42	5	this	this	DET
ejpam-7172	42	6	research	research	NOUN
ejpam-7172	42	7	are	be	AUX
ejpam-7172	42	8	finally	finally	ADV
ejpam-7172	42	9	given	give	VERB
ejpam-7172	42	10	.	.	PUNCT
ejpam-7172	43	1	2	2	X
ejpam-7172	43	2	.	.	X
ejpam-7172	43	3	traveling	travel	VERB
ejpam-7172	43	4	wave	wave	NOUN
ejpam-7172	43	5	equation	equation	NOUN
ejpam-7172	43	6	for	for	ADP
ejpam-7172	43	7	the	the	DET
ejpam-7172	43	8	scs	scs	ADJ
ejpam-7172	43	9	-	-	PUNCT
ejpam-7172	43	10	kdves	kdve	NOUN
ejpam-7172	43	11	-	-	PUNCT
ejpam-7172	43	12	cdo	cdo	NOUN
ejpam-7172	43	13	to	to	PART
ejpam-7172	43	14	have	have	VERB
ejpam-7172	43	15	the	the	DET
ejpam-7172	43	16	wave	wave	NOUN
ejpam-7172	43	17	equation	equation	NOUN
ejpam-7172	43	18	for	for	ADP
ejpam-7172	43	19	the	the	DET
ejpam-7172	43	20	scs	scs	ADJ
ejpam-7172	43	21	-	-	PUNCT
ejpam-7172	43	22	kdves	kdve	NOUN
ejpam-7172	43	23	-	-	PUNCT
ejpam-7172	43	24	cdo	cdo	NOUN
ejpam-7172	43	25	(	(	PUNCT
ejpam-7172	43	26	1	1	NUM
ejpam-7172	43	27	)	)	PUNCT
ejpam-7172	43	28	,	,	PUNCT
ejpam-7172	43	29	we	we	PRON
ejpam-7172	43	30	apply	apply	VERB
ejpam-7172	43	31	y(x	y(x	PROPN
ejpam-7172	43	32	,	,	PUNCT
ejpam-7172	43	33	t	t	PROPN
ejpam-7172	43	34	)	)	PUNCT
ejpam-7172	43	35	=	=	PUNCT
ejpam-7172	44	1	u(ζ)eiθ+ρw−	u(ζ)eiθ+ρw−	NUM
ejpam-7172	44	2	1	1	NUM
ejpam-7172	44	3	2	2	NUM
ejpam-7172	44	4	ρ2	ρ2	NOUN
ejpam-7172	44	5	t	t	NOUN
ejpam-7172	44	6	and	and	CCONJ
ejpam-7172	44	7	z(x	z(x	NUM
ejpam-7172	44	8	,	,	PUNCT
ejpam-7172	44	9	t	t	PROPN
ejpam-7172	44	10	)	)	PUNCT
ejpam-7172	44	11	=	=	PUNCT
ejpam-7172	45	1	v(ζ)eρw−	v(ζ)eρw−	ADJ
ejpam-7172	45	2	1	1	NUM
ejpam-7172	45	3	2	2	NUM
ejpam-7172	45	4	ρ2	ρ2	NOUN
ejpam-7172	45	5	t	t	NOUN
ejpam-7172	45	6	,	,	PUNCT
ejpam-7172	45	7	(	(	PUNCT
ejpam-7172	45	8	2	2	X
ejpam-7172	45	9	)	)	PUNCT
ejpam-7172	45	10	θ	θ	NOUN
ejpam-7172	46	1	=	=	PUNCT
ejpam-7172	46	2	k	k	PROPN
ejpam-7172	46	3	α	α	NOUN
ejpam-7172	46	4	xα	xα	PROPN
ejpam-7172	47	1	+	+	NUM
ejpam-7172	47	2	δt	δt	NOUN
ejpam-7172	47	3	,	,	PUNCT
ejpam-7172	47	4	ζ	ζ	NOUN
ejpam-7172	47	5	=	=	SYM
ejpam-7172	47	6	1	1	NUM
ejpam-7172	47	7	α	α	NOUN
ejpam-7172	47	8	xα	xα	PUNCT
ejpam-7172	48	1	+	+	X
ejpam-7172	48	2	2kt	2kt	X
ejpam-7172	48	3	,	,	PUNCT
ejpam-7172	48	4	where	where	SCONJ
ejpam-7172	48	5	u	u	NOUN
ejpam-7172	48	6	and	and	CCONJ
ejpam-7172	48	7	v	v	NOUN
ejpam-7172	48	8	are	be	AUX
ejpam-7172	48	9	deterministic	deterministic	ADJ
ejpam-7172	48	10	and	and	CCONJ
ejpam-7172	48	11	real	real	ADJ
ejpam-7172	48	12	functions	function	NOUN
ejpam-7172	48	13	;	;	PUNCT
ejpam-7172	48	14	k	k	PROPN
ejpam-7172	48	15	and	and	CCONJ
ejpam-7172	48	16	δ	δ	PROPN
ejpam-7172	48	17	are	be	AUX
ejpam-7172	48	18	non	non	ADJ
ejpam-7172	48	19	-	-	ADJ
ejpam-7172	48	20	zero	zero	NUM
ejpam-7172	48	21	real	real	ADJ
ejpam-7172	48	22	constants	constant	NOUN
ejpam-7172	48	23	.	.	PUNCT
ejpam-7172	49	1	it	it	PRON
ejpam-7172	49	2	is	be	AUX
ejpam-7172	49	3	observed	observe	VERB
ejpam-7172	49	4	that	that	SCONJ
ejpam-7172	49	5	yt	yt	VERB
ejpam-7172	49	6	=	=	PUNCT
ejpam-7172	50	1	[	[	X
ejpam-7172	50	2	2ku′	2ku′	NUM
ejpam-7172	50	3	+	+	CCONJ
ejpam-7172	50	4	iδu+	iδu+	ADJ
ejpam-7172	50	5	ρuwt	ρuwt	ADJ
ejpam-7172	50	6	−	−	NOUN
ejpam-7172	50	7	1	1	NUM
ejpam-7172	50	8	2	2	NUM
ejpam-7172	50	9	ρ2u+	ρ2u+	NOUN
ejpam-7172	50	10	1	1	NUM
ejpam-7172	50	11	2	2	NUM
ejpam-7172	50	12	ρ2u]eiθ+ρw−	ρ2u]eiθ+ρw−	NOUN
ejpam-7172	50	13	1	1	NUM
ejpam-7172	50	14	2	2	NUM
ejpam-7172	50	15	ρ2	ρ2	NOUN
ejpam-7172	50	16	t	t	NOUN
ejpam-7172	50	17	=	=	PUNCT
ejpam-7172	51	1	[	[	X
ejpam-7172	51	2	2ku′	2ku′	NUM
ejpam-7172	51	3	+	+	CCONJ
ejpam-7172	51	4	iδu+	iδu+	ADJ
ejpam-7172	51	5	ρuwt]e	ρuwt]e	NOUN
ejpam-7172	51	6	iθ+ρw−	iθ+ρw−	VERB
ejpam-7172	51	7	1	1	NUM
ejpam-7172	51	8	2	2	NUM
ejpam-7172	51	9	ρ2	ρ2	NOUN
ejpam-7172	51	10	t	t	NOUN
ejpam-7172	51	11	,	,	PUNCT
ejpam-7172	51	12	(	(	PUNCT
ejpam-7172	51	13	3	3	X
ejpam-7172	51	14	)	)	PUNCT
ejpam-7172	51	15	yx	yx	NOUN
ejpam-7172	51	16	=	=	SYM
ejpam-7172	51	17	(	(	PUNCT
ejpam-7172	51	18	u′	u′	PROPN
ejpam-7172	51	19	+	+	CCONJ
ejpam-7172	51	20	iku)eiθ+ρw−	iku)eiθ+ρw−	PROPN
ejpam-7172	51	21	1	1	NUM
ejpam-7172	51	22	2	2	NUM
ejpam-7172	51	23	ρ2	ρ2	NOUN
ejpam-7172	51	24	t	t	NOUN
ejpam-7172	51	25	,	,	PUNCT
ejpam-7172	51	26	yxx	yxx	NOUN
ejpam-7172	51	27	=	=	SYM
ejpam-7172	51	28	(	(	PUNCT
ejpam-7172	51	29	u′′	u′′	PROPN
ejpam-7172	51	30	+	+	CCONJ
ejpam-7172	51	31	2iku′	2iku′	NUM
ejpam-7172	51	32	−	−	NOUN
ejpam-7172	51	33	k2u)eiθ+ρw−	k2u)eiθ+ρw−	PROPN
ejpam-7172	51	34	1	1	NUM
ejpam-7172	51	35	2	2	NUM
ejpam-7172	51	36	ρ2	ρ2	NOUN
ejpam-7172	51	37	t	t	NOUN
ejpam-7172	51	38	,	,	PUNCT
ejpam-7172	51	39	where	where	SCONJ
ejpam-7172	51	40	1	1	NUM
ejpam-7172	51	41	2ρ	2ρ	NOUN
ejpam-7172	51	42	2u	2u	NOUN
ejpam-7172	51	43	is	be	AUX
ejpam-7172	51	44	the	the	DET
ejpam-7172	51	45	itô	itô	PROPN
ejpam-7172	51	46	correction	correction	NOUN
ejpam-7172	51	47	term	term	NOUN
ejpam-7172	51	48	.	.	PUNCT
ejpam-7172	52	1	similarly	similarly	ADV
ejpam-7172	52	2	,	,	PUNCT
ejpam-7172	52	3	zt	zt	PROPN
ejpam-7172	52	4	=	=	PUNCT
ejpam-7172	53	1	[	[	PUNCT
ejpam-7172	53	2	2kv′	2kv′	NUM
ejpam-7172	53	3	+	+	NUM
ejpam-7172	53	4	ρvwt]e	ρvwt]e	NOUN
ejpam-7172	53	5	ρw−	ρw−	NUM
ejpam-7172	53	6	1	1	NUM
ejpam-7172	53	7	2	2	NUM
ejpam-7172	53	8	ρ2	ρ2	NOUN
ejpam-7172	53	9	t	t	NOUN
ejpam-7172	53	10	,	,	PUNCT
ejpam-7172	53	11	zx	zx	PROPN
ejpam-7172	53	12	=	=	NOUN
ejpam-7172	53	13	v′eρw−	v′eρw−	NOUN
ejpam-7172	53	14	1	1	NUM
ejpam-7172	53	15	2	2	NUM
ejpam-7172	53	16	ρ2	ρ2	PROPN
ejpam-7172	53	17	t	t	NOUN
ejpam-7172	53	18	,	,	PUNCT
ejpam-7172	53	19	zxxx	zxxx	NOUN
ejpam-7172	53	20	=	=	SYM
ejpam-7172	53	21	v′′′eρw−	v′′′eρw−	PROPN
ejpam-7172	53	22	1	1	NUM
ejpam-7172	53	23	2	2	NUM
ejpam-7172	53	24	ρ2	ρ2	NOUN
ejpam-7172	53	25	t.	t.	NOUN
ejpam-7172	53	26	(	(	PUNCT
ejpam-7172	53	27	4	4	NUM
ejpam-7172	53	28	)	)	PUNCT
ejpam-7172	53	29	substituting	substitute	VERB
ejpam-7172	53	30	eqs	eq	NOUN
ejpam-7172	53	31	(	(	PUNCT
ejpam-7172	53	32	2	2	NUM
ejpam-7172	53	33	)	)	PUNCT
ejpam-7172	53	34	,	,	PUNCT
ejpam-7172	53	35	(	(	PUNCT
ejpam-7172	53	36	3	3	X
ejpam-7172	53	37	)	)	PUNCT
ejpam-7172	53	38	and	and	CCONJ
ejpam-7172	53	39	(	(	PUNCT
ejpam-7172	53	40	4	4	NUM
ejpam-7172	53	41	)	)	PUNCT
ejpam-7172	53	42	into	into	ADP
ejpam-7172	53	43	eq	eq	NOUN
ejpam-7172	53	44	.	.	PUNCT
ejpam-7172	54	1	(	(	PUNCT
ejpam-7172	54	2	1	1	NUM
ejpam-7172	54	3	)	)	PUNCT
ejpam-7172	54	4	,	,	PUNCT
ejpam-7172	54	5	we	we	PRON
ejpam-7172	54	6	have	have	VERB
ejpam-7172	54	7	the	the	DET
ejpam-7172	54	8	next	next	ADJ
ejpam-7172	54	9	system	system	NOUN
ejpam-7172	54	10	:	:	PUNCT
ejpam-7172	54	11	2kv‵	2kv‵	NUM
ejpam-7172	54	12	+	+	NUM
ejpam-7172	54	13	v‵‵‵	v‵‵‵	NOUN
ejpam-7172	55	1	+	+	CCONJ
ejpam-7172	56	1	[	[	X
ejpam-7172	56	2	6vv‵	6vv‵	NUM
ejpam-7172	56	3	−	−	PROPN
ejpam-7172	56	4	(	(	PUNCT
ejpam-7172	56	5	u2	u2	NOUN
ejpam-7172	56	6	)	)	PUNCT
ejpam-7172	56	7	‵	‵	PROPN
ejpam-7172	56	8	]	]	X
ejpam-7172	56	9	eρw−	eρw−	PROPN
ejpam-7172	56	10	1	1	NUM
ejpam-7172	56	11	2	2	NUM
ejpam-7172	56	12	ρ2	ρ2	NOUN
ejpam-7172	56	13	t	t	NOUN
ejpam-7172	56	14	=	=	SYM
ejpam-7172	56	15	0	0	NUM
ejpam-7172	56	16	,	,	PUNCT
ejpam-7172	56	17	u‵‵	u‵‵	PROPN
ejpam-7172	56	18	+	+	CCONJ
ejpam-7172	56	19	(	(	PUNCT
ejpam-7172	56	20	δ	δ	PROPN
ejpam-7172	56	21	−	−	PROPN
ejpam-7172	56	22	k2	k2	PROPN
ejpam-7172	56	23	)	)	PUNCT
ejpam-7172	56	24	u+	u+	NOUN
ejpam-7172	56	25	uveρw−	uveρw−	NOUN
ejpam-7172	56	26	1	1	NUM
ejpam-7172	56	27	2	2	NUM
ejpam-7172	56	28	ρ2	ρ2	NOUN
ejpam-7172	56	29	t	t	NOUN
ejpam-7172	56	30	=	=	SYM
ejpam-7172	56	31	0	0	NUM
ejpam-7172	56	32	.	.	PUNCT
ejpam-7172	57	1	(	(	PUNCT
ejpam-7172	57	2	5	5	X
ejpam-7172	57	3	)	)	PUNCT
ejpam-7172	57	4	considering	consider	VERB
ejpam-7172	57	5	the	the	DET
ejpam-7172	57	6	expectation	expectation	NOUN
ejpam-7172	57	7	on	on	ADP
ejpam-7172	57	8	both	both	DET
ejpam-7172	57	9	sides	side	NOUN
ejpam-7172	57	10	of	of	ADP
ejpam-7172	57	11	eq	eq	PROPN
ejpam-7172	57	12	.	.	PUNCT
ejpam-7172	58	1	(	(	PUNCT
ejpam-7172	58	2	5	5	NUM
ejpam-7172	58	3	)	)	PUNCT
ejpam-7172	58	4	,	,	PUNCT
ejpam-7172	58	5	yields	yield	VERB
ejpam-7172	58	6	2kv‵	2kv‵	PROPN
ejpam-7172	59	1	+	+	NUM
ejpam-7172	59	2	v‵‵‵	v‵‵‵	NOUN
ejpam-7172	59	3	+	+	CCONJ
ejpam-7172	60	1	[	[	X
ejpam-7172	60	2	6vv‵	6vv‵	NUM
ejpam-7172	60	3	−	−	PROPN
ejpam-7172	60	4	(	(	PUNCT
ejpam-7172	60	5	u2	u2	NOUN
ejpam-7172	60	6	)	)	PUNCT
ejpam-7172	60	7	‵	‵	PROPN
ejpam-7172	60	8	]	]	PUNCT
ejpam-7172	60	9	e−	e−	PROPN
ejpam-7172	60	10	1	1	NUM
ejpam-7172	60	11	2	2	NUM
ejpam-7172	60	12	ρ2te(eρw	ρ2te(eρw	NOUN
ejpam-7172	60	13	)	)	PUNCT
ejpam-7172	60	14	=	=	SYM
ejpam-7172	60	15	0	0	NUM
ejpam-7172	60	16	,	,	PUNCT
ejpam-7172	60	17	u‵‵	u‵‵	PROPN
ejpam-7172	60	18	+	+	CCONJ
ejpam-7172	60	19	(	(	PUNCT
ejpam-7172	60	20	δ	δ	PROPN
ejpam-7172	60	21	−	−	PROPN
ejpam-7172	60	22	k2	k2	PROPN
ejpam-7172	60	23	)	)	PUNCT
ejpam-7172	60	24	u+	u+	NOUN
ejpam-7172	60	25	uve−	uve−	NOUN
ejpam-7172	60	26	1	1	NUM
ejpam-7172	60	27	2	2	NUM
ejpam-7172	60	28	ρ2te(eρw	ρ2te(eρw	NOUN
ejpam-7172	60	29	)	)	PUNCT
ejpam-7172	60	30	=	=	NOUN
ejpam-7172	60	31	0	0	X
ejpam-7172	60	32	.	.	PUNCT
ejpam-7172	61	1	(	(	PUNCT
ejpam-7172	61	2	6	6	NUM
ejpam-7172	61	3	)	)	PUNCT
ejpam-7172	61	4	since	since	SCONJ
ejpam-7172	61	5	w(t	w(t	PROPN
ejpam-7172	61	6	)	)	PUNCT
ejpam-7172	61	7	is	be	AUX
ejpam-7172	61	8	a	a	DET
ejpam-7172	61	9	wiener	wiener	NOUN
ejpam-7172	61	10	process	process	NOUN
ejpam-7172	61	11	,	,	PUNCT
ejpam-7172	61	12	hence	hence	ADV
ejpam-7172	61	13	e(eρw(t	e(eρw(t	NOUN
ejpam-7172	61	14	)	)	PUNCT
ejpam-7172	61	15	)	)	PUNCT
ejpam-7172	62	1	=	=	PUNCT
ejpam-7172	62	2	e	e	X
ejpam-7172	62	3	1	1	NUM
ejpam-7172	62	4	2	2	NUM
ejpam-7172	62	5	ρ2	ρ2	NOUN
ejpam-7172	62	6	t	t	NOUN
ejpam-7172	62	7	for	for	ADP
ejpam-7172	62	8	any	any	DET
ejpam-7172	62	9	real	real	ADJ
ejpam-7172	62	10	number	number	NOUN
ejpam-7172	62	11	ρ	ρ	NOUN
ejpam-7172	62	12	.	.	PUNCT
ejpam-7172	63	1	therefore	therefore	ADV
ejpam-7172	63	2	,	,	PUNCT
ejpam-7172	63	3	eq	eq	ADJ
ejpam-7172	63	4	.	.	PUNCT
ejpam-7172	64	1	(	(	PUNCT
ejpam-7172	64	2	6	6	NUM
ejpam-7172	64	3	)	)	PUNCT
ejpam-7172	64	4	tends	tend	VERB
ejpam-7172	64	5	into	into	ADP
ejpam-7172	64	6	2kv‵	2kv‵	PROPN
ejpam-7172	64	7	+	+	CCONJ
ejpam-7172	64	8	v‵‵‵	v‵‵‵	NOUN
ejpam-7172	65	1	+	+	CCONJ
ejpam-7172	66	1	6vv‵	6vv‵	NUM
ejpam-7172	66	2	−	−	PROPN
ejpam-7172	66	3	(	(	PUNCT
ejpam-7172	66	4	u2	u2	NOUN
ejpam-7172	66	5	)	)	PUNCT
ejpam-7172	66	6	‵	‵	PROPN
ejpam-7172	66	7	=	=	SYM
ejpam-7172	66	8	0	0	NUM
ejpam-7172	66	9	,	,	PUNCT
ejpam-7172	66	10	u‵‵	u‵‵	PROPN
ejpam-7172	66	11	+	+	CCONJ
ejpam-7172	66	12	(	(	PUNCT
ejpam-7172	66	13	δ	δ	PROPN
ejpam-7172	66	14	−	−	PROPN
ejpam-7172	66	15	k2	k2	PROPN
ejpam-7172	66	16	)	)	PUNCT
ejpam-7172	66	17	u+	u+	NOUN
ejpam-7172	66	18	uv	uv	NOUN
ejpam-7172	66	19	=	=	NOUN
ejpam-7172	66	20	0	0	PROPN
ejpam-7172	66	21	.	.	PUNCT
ejpam-7172	67	1	(	(	PUNCT
ejpam-7172	67	2	7	7	X
ejpam-7172	67	3	)	)	PUNCT
ejpam-7172	67	4	w.	w.	PROPN
ejpam-7172	67	5	w.	w.	PROPN
ejpam-7172	67	6	mohammed	mohammed	PROPN
ejpam-7172	67	7	et	et	PROPN
ejpam-7172	67	8	al	al	PROPN
ejpam-7172	67	9	.	.	PUNCT
ejpam-7172	67	10	/	/	SYM
ejpam-7172	67	11	eur	eur	PROPN
ejpam-7172	67	12	.	.	PUNCT
ejpam-7172	68	1	j.	j.	PROPN
ejpam-7172	68	2	pure	pure	PROPN
ejpam-7172	68	3	appl	appl	PROPN
ejpam-7172	68	4	.	.	PROPN
ejpam-7172	68	5	math	math	PROPN
ejpam-7172	68	6	,	,	PUNCT
ejpam-7172	68	7	18	18	NUM
ejpam-7172	68	8	(	(	PUNCT
ejpam-7172	68	9	4	4	NUM
ejpam-7172	68	10	)	)	PUNCT
ejpam-7172	68	11	(	(	PUNCT
ejpam-7172	68	12	2025	2025	NUM
ejpam-7172	68	13	)	)	PUNCT
ejpam-7172	68	14	,	,	PUNCT
ejpam-7172	68	15	7172	7172	NUM
ejpam-7172	68	16	4	4	NUM
ejpam-7172	68	17	of	of	ADP
ejpam-7172	68	18	22	22	NUM
ejpam-7172	68	19	integrating	integrate	VERB
ejpam-7172	68	20	first	first	ADJ
ejpam-7172	68	21	equation	equation	NOUN
ejpam-7172	68	22	in	in	ADP
ejpam-7172	68	23	eq	eq	ADP
ejpam-7172	68	24	.	.	PUNCT
ejpam-7172	69	1	(	(	PUNCT
ejpam-7172	69	2	7	7	X
ejpam-7172	69	3	)	)	PUNCT
ejpam-7172	69	4	once	once	ADV
ejpam-7172	69	5	,	,	PUNCT
ejpam-7172	69	6	we	we	PRON
ejpam-7172	69	7	get	get	VERB
ejpam-7172	69	8	v′′	v′′	NOUN
ejpam-7172	69	9	+	+	CCONJ
ejpam-7172	69	10	2kv	2kv	ADJ
ejpam-7172	70	1	+	+	CCONJ
ejpam-7172	70	2	3v2	3v2	NUM
ejpam-7172	70	3	−	−	NOUN
ejpam-7172	70	4	u2	u2	NOUN
ejpam-7172	70	5	=	=	SYM
ejpam-7172	70	6	0	0	NUM
ejpam-7172	70	7	,	,	PUNCT
ejpam-7172	70	8	u‵‵	u‵‵	PROPN
ejpam-7172	70	9	+	+	CCONJ
ejpam-7172	70	10	(	(	PUNCT
ejpam-7172	70	11	δ	δ	PROPN
ejpam-7172	70	12	−	−	PROPN
ejpam-7172	70	13	k2	k2	PROPN
ejpam-7172	70	14	)	)	PUNCT
ejpam-7172	70	15	u+	u+	NOUN
ejpam-7172	70	16	uv	uv	NOUN
ejpam-7172	70	17	=	=	NOUN
ejpam-7172	70	18	0	0	PROPN
ejpam-7172	70	19	.	.	PUNCT
ejpam-7172	71	1	(	(	PUNCT
ejpam-7172	71	2	8)	8)	NUM
ejpam-7172	71	3	3	3	NUM
ejpam-7172	71	4	.	.	PUNCT
ejpam-7172	72	1	the	the	DET
ejpam-7172	72	2	clarification	clarification	NOUN
ejpam-7172	72	3	of	of	ADP
ejpam-7172	72	4	ss	ss	NOUN
ejpam-7172	72	5	-	-	NOUN
ejpam-7172	72	6	method	method	NOUN
ejpam-7172	72	7	let	let	VERB
ejpam-7172	72	8	us	we	PRON
ejpam-7172	72	9	describe	describe	VERB
ejpam-7172	72	10	the	the	DET
ejpam-7172	72	11	ss	ss	NOUN
ejpam-7172	72	12	-	-	NOUN
ejpam-7172	72	13	method	method	NOUN
ejpam-7172	72	14	that	that	PRON
ejpam-7172	72	15	we	we	PRON
ejpam-7172	72	16	use	use	VERB
ejpam-7172	72	17	here	here	ADV
ejpam-7172	72	18	(	(	PUNCT
ejpam-7172	72	19	for	for	SCONJ
ejpam-7172	72	20	more	more	ADJ
ejpam-7172	72	21	detail	detail	NOUN
ejpam-7172	72	22	see	see	VERB
ejpam-7172	72	23	[	[	X
ejpam-7172	72	24	16	16	NUM
ejpam-7172	72	25	,	,	PUNCT
ejpam-7172	72	26	26	26	NUM
ejpam-7172	72	27	]	]	PUNCT
ejpam-7172	72	28	)	)	PUNCT
ejpam-7172	72	29	.	.	PUNCT
ejpam-7172	73	1	let	let	VERB
ejpam-7172	73	2	the	the	DET
ejpam-7172	73	3	solution	solution	NOUN
ejpam-7172	73	4	of	of	ADP
ejpam-7172	73	5	eq	eq	PROPN
ejpam-7172	73	6	.	.	PUNCT
ejpam-7172	74	1	(	(	PUNCT
ejpam-7172	74	2	8)	8)	NUM
ejpam-7172	74	3	have	have	VERB
ejpam-7172	74	4	the	the	DET
ejpam-7172	74	5	form	form	NOUN
ejpam-7172	74	6	u(ζ	u(ζ	PROPN
ejpam-7172	74	7	)	)	PUNCT
ejpam-7172	75	1	=	=	PRON
ejpam-7172	75	2	∑m1	∑m1	PROPN
ejpam-7172	75	3	i=0	i=0	PROPN
ejpam-7172	75	4	ℓif	ℓif	PRON
ejpam-7172	75	5	i(ζ	i(ζ	PROPN
ejpam-7172	75	6	)	)	PUNCT
ejpam-7172	75	7	,	,	PUNCT
ejpam-7172	75	8	v(ζ	v(ζ	PROPN
ejpam-7172	75	9	)	)	PUNCT
ejpam-7172	75	10	=	=	SYM
ejpam-7172	76	1	∑m2	∑m2	PROPN
ejpam-7172	76	2	i=0ϖif	i=0ϖif	ADJ
ejpam-7172	76	3	i(ζ	i(ζ	NOUN
ejpam-7172	76	4	)	)	PUNCT
ejpam-7172	76	5	,	,	PUNCT
ejpam-7172	76	6	(	(	PUNCT
ejpam-7172	76	7	9	9	X
ejpam-7172	76	8	)	)	PUNCT
ejpam-7172	76	9	where	where	SCONJ
ejpam-7172	76	10	ℓi	ℓi	PROPN
ejpam-7172	76	11	and	and	CCONJ
ejpam-7172	76	12	ϖi	ϖi	NOUN
ejpam-7172	76	13	are	be	AUX
ejpam-7172	76	14	undetermined	undetermined	ADJ
ejpam-7172	76	15	constants	constant	NOUN
ejpam-7172	76	16	to	to	PART
ejpam-7172	76	17	be	be	AUX
ejpam-7172	76	18	established	establish	VERB
ejpam-7172	76	19	,	,	PUNCT
ejpam-7172	76	20	and	and	CCONJ
ejpam-7172	76	21	f	f	PROPN
ejpam-7172	76	22	solves	solve	VERB
ejpam-7172	76	23	the	the	DET
ejpam-7172	76	24	auxiliary	auxiliary	ADJ
ejpam-7172	76	25	equation	equation	NOUN
ejpam-7172	76	26	:	:	PUNCT
ejpam-7172	76	27	(	(	PUNCT
ejpam-7172	76	28	f	f	X
ejpam-7172	76	29	′)2	′)2	X
ejpam-7172	76	30	=	=	PUNCT
ejpam-7172	76	31	f4	f4	PROPN
ejpam-7172	76	32	+	+	CCONJ
ejpam-7172	76	33	ℏ1f2	ℏ1f2	SYM
ejpam-7172	76	34	+	+	NUM
ejpam-7172	76	35	ℏ2	ℏ2	NOUN
ejpam-7172	76	36	,	,	PUNCT
ejpam-7172	76	37	(	(	PUNCT
ejpam-7172	76	38	10	10	NUM
ejpam-7172	76	39	)	)	PUNCT
ejpam-7172	76	40	where	where	SCONJ
ejpam-7172	76	41	ℏ1	ℏ1	ADJ
ejpam-7172	76	42	,	,	PUNCT
ejpam-7172	76	43	and	and	CCONJ
ejpam-7172	76	44	ℏ2	ℏ2	NOUN
ejpam-7172	76	45	are	be	AUX
ejpam-7172	76	46	real	real	ADJ
ejpam-7172	76	47	constants	constant	NOUN
ejpam-7172	76	48	.	.	PUNCT
ejpam-7172	77	1	many	many	ADJ
ejpam-7172	77	2	cases	case	NOUN
ejpam-7172	77	3	rely	rely	VERB
ejpam-7172	77	4	on	on	ADP
ejpam-7172	77	5	ℏ1	ℏ1	ADJ
ejpam-7172	77	6	,	,	PUNCT
ejpam-7172	77	7	and	and	CCONJ
ejpam-7172	77	8	ℏ2	ℏ2	NOUN
ejpam-7172	77	9	for	for	ADP
ejpam-7172	77	10	the	the	DET
ejpam-7172	77	11	solutions	solution	NOUN
ejpam-7172	77	12	of	of	ADP
ejpam-7172	77	13	eq	eq	PROPN
ejpam-7172	77	14	.	.	PUNCT
ejpam-7172	78	1	(	(	PUNCT
ejpam-7172	78	2	10	10	NUM
ejpam-7172	78	3	)	)	PUNCT
ejpam-7172	78	4	as	as	SCONJ
ejpam-7172	78	5	follows	follow	VERB
ejpam-7172	78	6	:	:	PUNCT
ejpam-7172	79	1	case	case	NOUN
ejpam-7172	79	2	1	1	NUM
ejpam-7172	79	3	:	:	PUNCT
ejpam-7172	79	4	if	if	SCONJ
ejpam-7172	79	5	ℏ1	ℏ1	X
ejpam-7172	79	6	>	>	X
ejpam-7172	79	7	0	0	NUM
ejpam-7172	79	8	,	,	PUNCT
ejpam-7172	79	9	and	and	CCONJ
ejpam-7172	79	10	ℏ2	ℏ2	NOUN
ejpam-7172	79	11	=	=	SYM
ejpam-7172	79	12	0	0	NUM
ejpam-7172	79	13	,	,	PUNCT
ejpam-7172	79	14	then	then	ADV
ejpam-7172	79	15	f1(ζ	f1(ζ	NOUN
ejpam-7172	79	16	)	)	PUNCT
ejpam-7172	79	17	=	=	SYM
ejpam-7172	79	18	±	±	PROPN
ejpam-7172	79	19	√	√	NUM
ejpam-7172	79	20	pqℏ1sechpq	pqℏ1sechpq	PROPN
ejpam-7172	79	21	(	(	PUNCT
ejpam-7172	79	22	√	√	ADV
ejpam-7172	79	23	ℏ1ζ	ℏ1ζ	NUM
ejpam-7172	79	24	)	)	PUNCT
ejpam-7172	79	25	,	,	PUNCT
ejpam-7172	79	26	(	(	PUNCT
ejpam-7172	79	27	11	11	NUM
ejpam-7172	79	28	)	)	PUNCT
ejpam-7172	79	29	and	and	CCONJ
ejpam-7172	79	30	f2(ζ	f2(ζ	X
ejpam-7172	79	31	)	)	PUNCT
ejpam-7172	79	32	=	=	SYM
ejpam-7172	79	33	±	±	NUM
ejpam-7172	79	34	√	√	PUNCT
ejpam-7172	79	35	pqℏ1cschpq	pqℏ1cschpq	PROPN
ejpam-7172	79	36	(	(	PUNCT
ejpam-7172	79	37	√	√	ADV
ejpam-7172	79	38	ℏ1ζ	ℏ1ζ	NUM
ejpam-7172	79	39	)	)	PUNCT
ejpam-7172	79	40	,	,	PUNCT
ejpam-7172	79	41	(	(	PUNCT
ejpam-7172	79	42	12	12	NUM
ejpam-7172	79	43	)	)	PUNCT
ejpam-7172	79	44	where	where	SCONJ
ejpam-7172	79	45	sechpq(θ	sechpq(θ	VERB
ejpam-7172	79	46	)	)	PUNCT
ejpam-7172	79	47	=	=	SYM
ejpam-7172	79	48	2	2	NUM
ejpam-7172	79	49	peθ	peθ	NOUN
ejpam-7172	79	50	+	+	CCONJ
ejpam-7172	79	51	qe−θ	qe−θ	ADJ
ejpam-7172	79	52	and	and	CCONJ
ejpam-7172	79	53	cschpq(θ	cschpq(θ	NUM
ejpam-7172	79	54	)	)	PUNCT
ejpam-7172	79	55	=	=	SYM
ejpam-7172	79	56	2	2	NUM
ejpam-7172	79	57	peθ	peθ	NOUN
ejpam-7172	79	58	−	−	ADV
ejpam-7172	79	59	qe−θ	qe−θ	ADJ
ejpam-7172	79	60	.	.	PUNCT
ejpam-7172	80	1	case	case	NOUN
ejpam-7172	80	2	2	2	NUM
ejpam-7172	80	3	:	:	PUNCT
ejpam-7172	80	4	if	if	SCONJ
ejpam-7172	80	5	ℏ1	ℏ1	X
ejpam-7172	80	6	<	<	X
ejpam-7172	80	7	0	0	NUM
ejpam-7172	80	8	,	,	PUNCT
ejpam-7172	80	9	and	and	CCONJ
ejpam-7172	80	10	ℏ2	ℏ2	NOUN
ejpam-7172	80	11	=	=	SYM
ejpam-7172	80	12	0	0	NUM
ejpam-7172	80	13	,	,	PUNCT
ejpam-7172	80	14	then	then	ADV
ejpam-7172	80	15	f3(ζ	f3(ζ	PROPN
ejpam-7172	80	16	)	)	PUNCT
ejpam-7172	80	17	=	=	SYM
ejpam-7172	80	18	±	±	PROPN
ejpam-7172	80	19	√	√	PROPN
ejpam-7172	80	20	−pqℏ1	−pqℏ1	PROPN
ejpam-7172	80	21	secpq	secpq	PROPN
ejpam-7172	80	22	(	(	PUNCT
ejpam-7172	80	23	√	√	NUM
ejpam-7172	80	24	−ℏ1ζ	−ℏ1ζ	NUM
ejpam-7172	80	25	)	)	PUNCT
ejpam-7172	80	26	,	,	PUNCT
ejpam-7172	80	27	(	(	PUNCT
ejpam-7172	80	28	13	13	NUM
ejpam-7172	80	29	)	)	PUNCT
ejpam-7172	80	30	and	and	CCONJ
ejpam-7172	80	31	f4(ζ	f4(ζ	NUM
ejpam-7172	80	32	)	)	PUNCT
ejpam-7172	80	33	=	=	SYM
ejpam-7172	80	34	±	±	PROPN
ejpam-7172	80	35	√	√	PROPN
ejpam-7172	80	36	−pqℏ1	−pqℏ1	PROPN
ejpam-7172	80	37	cscpq	cscpq	PROPN
ejpam-7172	80	38	(	(	PUNCT
ejpam-7172	80	39	√	√	NUM
ejpam-7172	80	40	−ℏ1ζ	−ℏ1ζ	NUM
ejpam-7172	80	41	)	)	PUNCT
ejpam-7172	80	42	,	,	PUNCT
ejpam-7172	80	43	(	(	PUNCT
ejpam-7172	80	44	14	14	NUM
ejpam-7172	80	45	)	)	PUNCT
ejpam-7172	80	46	where	where	SCONJ
ejpam-7172	80	47	secpq(θ	secpq(θ	VERB
ejpam-7172	80	48	)	)	PUNCT
ejpam-7172	80	49	=	=	SYM
ejpam-7172	80	50	2	2	NUM
ejpam-7172	80	51	peθi	peθi	NOUN
ejpam-7172	80	52	+	+	CCONJ
ejpam-7172	80	53	qe−θi	qe−θi	PROPN
ejpam-7172	80	54	and	and	CCONJ
ejpam-7172	80	55	cscpq(θ	cscpq(θ	VERB
ejpam-7172	80	56	)	)	PUNCT
ejpam-7172	80	57	=	=	SYM
ejpam-7172	80	58	2	2	NUM
ejpam-7172	80	59	peθi	peθi	NOUN
ejpam-7172	80	60	−	−	PROPN
ejpam-7172	80	61	qe−θi	qe−θi	PROPN
ejpam-7172	80	62	.	.	PUNCT
ejpam-7172	81	1	case	case	NOUN
ejpam-7172	81	2	3	3	NUM
ejpam-7172	81	3	:	:	PUNCT
ejpam-7172	81	4	if	if	SCONJ
ejpam-7172	81	5	ℏ1	ℏ1	X
ejpam-7172	81	6	<	<	X
ejpam-7172	81	7	0	0	NUM
ejpam-7172	81	8	,	,	PUNCT
ejpam-7172	81	9	and	and	CCONJ
ejpam-7172	81	10	ℏ2	ℏ2	NOUN
ejpam-7172	81	11	=	=	PUNCT
ejpam-7172	81	12	ℏ21	ℏ21	NOUN
ejpam-7172	81	13	4	4	NUM
ejpam-7172	81	14	,	,	PUNCT
ejpam-7172	81	15	then	then	ADV
ejpam-7172	81	16	f5(ζ	f5(ζ	PROPN
ejpam-7172	81	17	)	)	PUNCT
ejpam-7172	81	18	=	=	SYM
ejpam-7172	81	19	±	±	NUM
ejpam-7172	82	1	√	√	PROPN
ejpam-7172	83	1	−ℏ1	−ℏ1	PROPN
ejpam-7172	83	2	2	2	NUM
ejpam-7172	83	3	tanhpq	tanhpq	PROPN
ejpam-7172	83	4	(	(	PUNCT
ejpam-7172	83	5	√	√	NUM
ejpam-7172	83	6	−ℏ1	−ℏ1	PROPN
ejpam-7172	83	7	2	2	NUM
ejpam-7172	83	8	ζ	ζ	NOUN
ejpam-7172	83	9	)	)	PUNCT
ejpam-7172	83	10	,	,	PUNCT
ejpam-7172	83	11	(	(	PUNCT
ejpam-7172	83	12	15	15	X
ejpam-7172	83	13	)	)	PUNCT
ejpam-7172	83	14	w.	w.	PROPN
ejpam-7172	83	15	w.	w.	PROPN
ejpam-7172	83	16	mohammed	mohammed	PROPN
ejpam-7172	83	17	et	et	PROPN
ejpam-7172	83	18	al	al	PROPN
ejpam-7172	83	19	.	.	PUNCT
ejpam-7172	83	20	/	/	SYM
ejpam-7172	83	21	eur	eur	PROPN
ejpam-7172	83	22	.	.	PUNCT
ejpam-7172	84	1	j.	j.	PROPN
ejpam-7172	84	2	pure	pure	PROPN
ejpam-7172	84	3	appl	appl	PROPN
ejpam-7172	84	4	.	.	PROPN
ejpam-7172	84	5	math	math	PROPN
ejpam-7172	84	6	,	,	PUNCT
ejpam-7172	84	7	18	18	NUM
ejpam-7172	84	8	(	(	PUNCT
ejpam-7172	84	9	4	4	NUM
ejpam-7172	84	10	)	)	PUNCT
ejpam-7172	84	11	(	(	PUNCT
ejpam-7172	84	12	2025	2025	NUM
ejpam-7172	84	13	)	)	PUNCT
ejpam-7172	84	14	,	,	PUNCT
ejpam-7172	84	15	7172	7172	NUM
ejpam-7172	84	16	5	5	NUM
ejpam-7172	84	17	of	of	ADP
ejpam-7172	84	18	22	22	NUM
ejpam-7172	84	19	f6(ζ	f6(ζ	NOUN
ejpam-7172	84	20	)	)	PUNCT
ejpam-7172	84	21	=	=	SYM
ejpam-7172	84	22	±	±	NUM
ejpam-7172	84	23	√	√	PROPN
ejpam-7172	84	24	−ℏ1	−ℏ1	PROPN
ejpam-7172	84	25	2	2	NUM
ejpam-7172	84	26	cothpq	cothpq	PROPN
ejpam-7172	84	27	(	(	PUNCT
ejpam-7172	84	28	√	√	NUM
ejpam-7172	84	29	−ℏ1	−ℏ1	PROPN
ejpam-7172	84	30	2	2	NUM
ejpam-7172	84	31	ζ	ζ	NOUN
ejpam-7172	84	32	)	)	PUNCT
ejpam-7172	84	33	,	,	PUNCT
ejpam-7172	84	34	(	(	PUNCT
ejpam-7172	84	35	16	16	NUM
ejpam-7172	84	36	)	)	PUNCT
ejpam-7172	84	37	f7(ζ	f7(ζ	NOUN
ejpam-7172	84	38	)	)	PUNCT
ejpam-7172	84	39	=	=	SYM
ejpam-7172	84	40	±	±	NUM
ejpam-7172	85	1	√	√	PROPN
ejpam-7172	86	1	−ℏ1	−ℏ1	PROPN
ejpam-7172	86	2	2	2	NUM
ejpam-7172	86	3	[	[	X
ejpam-7172	86	4	cothpq	cothpq	PROPN
ejpam-7172	86	5	(	(	PUNCT
ejpam-7172	86	6	√	√	NOUN
ejpam-7172	86	7	−2ℏ1ζ)±	−2ℏ1ζ)±	NOUN
ejpam-7172	86	8	√	√	NOUN
ejpam-7172	86	9	pqcschpq	pqcschpq	NOUN
ejpam-7172	86	10	(	(	PUNCT
ejpam-7172	86	11	√	√	ADV
ejpam-7172	86	12	−2ℏ1ζ	−2ℏ1ζ	NUM
ejpam-7172	86	13	)	)	PUNCT
ejpam-7172	86	14	]	]	PUNCT
ejpam-7172	86	15	,	,	PUNCT
ejpam-7172	86	16	(	(	PUNCT
ejpam-7172	86	17	17	17	NUM
ejpam-7172	86	18	)	)	PUNCT
ejpam-7172	86	19	and	and	CCONJ
ejpam-7172	86	20	f8(ζ	f8(ζ	NOUN
ejpam-7172	86	21	)	)	PUNCT
ejpam-7172	86	22	=	=	SYM
ejpam-7172	86	23	±	±	NUM
ejpam-7172	87	1	√	√	NUM
ejpam-7172	87	2	−ℏ1	−ℏ1	PROPN
ejpam-7172	87	3	8	8	NUM
ejpam-7172	88	1	[	[	X
ejpam-7172	88	2	tanhpq	tanhpq	NOUN
ejpam-7172	88	3	(	(	PUNCT
ejpam-7172	88	4	√	√	NUM
ejpam-7172	88	5	−ℏ1	−ℏ1	PROPN
ejpam-7172	88	6	8	8	NUM
ejpam-7172	88	7	ζ	ζ	NOUN
ejpam-7172	88	8	)	)	PUNCT
ejpam-7172	88	9	+	+	CCONJ
ejpam-7172	88	10	cothpq	cothpq	PROPN
ejpam-7172	88	11	(	(	PUNCT
ejpam-7172	88	12	√	√	NUM
ejpam-7172	88	13	−ℏ1	−ℏ1	PROPN
ejpam-7172	88	14	8	8	NUM
ejpam-7172	88	15	ζ	ζ	NOUN
ejpam-7172	88	16	)	)	PUNCT
ejpam-7172	88	17	]	]	PUNCT
ejpam-7172	88	18	,	,	PUNCT
ejpam-7172	88	19	(	(	PUNCT
ejpam-7172	88	20	18	18	NUM
ejpam-7172	88	21	)	)	PUNCT
ejpam-7172	88	22	where	where	SCONJ
ejpam-7172	88	23	tanhpq(θ	tanhpq(θ	VERB
ejpam-7172	88	24	)	)	PUNCT
ejpam-7172	88	25	=	=	NOUN
ejpam-7172	88	26	peθ	peθ	NOUN
ejpam-7172	88	27	−	−	ADV
ejpam-7172	88	28	qe−θ	qe−θ	ADJ
ejpam-7172	88	29	peθ	peθ	NOUN
ejpam-7172	88	30	+	+	CCONJ
ejpam-7172	88	31	qe−θ	qe−θ	ADJ
ejpam-7172	88	32	and	and	CCONJ
ejpam-7172	88	33	cothpq(θ	cothpq(θ	ADJ
ejpam-7172	88	34	)	)	PUNCT
ejpam-7172	88	35	=	=	SYM
ejpam-7172	88	36	peθ	peθ	NOUN
ejpam-7172	88	37	+	+	CCONJ
ejpam-7172	88	38	qe−θ	qe−θ	ADJ
ejpam-7172	88	39	peθ	peθ	NOUN
ejpam-7172	88	40	−	−	NOUN
ejpam-7172	88	41	qe−θ	qe−θ	ADJ
ejpam-7172	88	42	.	.	PUNCT
ejpam-7172	89	1	case	case	NOUN
ejpam-7172	89	2	4	4	NUM
ejpam-7172	89	3	:	:	PUNCT
ejpam-7172	89	4	if	if	SCONJ
ejpam-7172	89	5	ℏ1	ℏ1	X
ejpam-7172	89	6	>	>	X
ejpam-7172	89	7	0	0	NUM
ejpam-7172	89	8	,	,	PUNCT
ejpam-7172	89	9	and	and	CCONJ
ejpam-7172	89	10	ℏ2	ℏ2	NOUN
ejpam-7172	89	11	=	=	PUNCT
ejpam-7172	89	12	ℏ21	ℏ21	NOUN
ejpam-7172	89	13	4	4	NUM
ejpam-7172	89	14	,	,	PUNCT
ejpam-7172	89	15	then	then	ADV
ejpam-7172	89	16	f9(ζ	f9(ζ	PROPN
ejpam-7172	89	17	)	)	PUNCT
ejpam-7172	89	18	=	=	SYM
ejpam-7172	89	19	±	±	PROPN
ejpam-7172	89	20	√	√	PUNCT
ejpam-7172	89	21	ℏ1	ℏ1	PROPN
ejpam-7172	89	22	2	2	NUM
ejpam-7172	89	23	tanpq	tanpq	NOUN
ejpam-7172	89	24	(	(	PUNCT
ejpam-7172	89	25	√	√	NUM
ejpam-7172	89	26	ℏ1	ℏ1	PROPN
ejpam-7172	89	27	2	2	NUM
ejpam-7172	89	28	ζ	ζ	NOUN
ejpam-7172	89	29	)	)	PUNCT
ejpam-7172	89	30	,	,	PUNCT
ejpam-7172	89	31	(	(	PUNCT
ejpam-7172	89	32	19	19	NUM
ejpam-7172	89	33	)	)	PUNCT
ejpam-7172	89	34	f10(ζ	f10(ζ	NOUN
ejpam-7172	89	35	)	)	PUNCT
ejpam-7172	89	36	=	=	SYM
ejpam-7172	89	37	±	±	NUM
ejpam-7172	89	38	√	√	PROPN
ejpam-7172	89	39	ℏ1	ℏ1	PROPN
ejpam-7172	89	40	2	2	NUM
ejpam-7172	89	41	cotpq	cotpq	NOUN
ejpam-7172	89	42	(	(	PUNCT
ejpam-7172	89	43	√	√	NUM
ejpam-7172	89	44	ℏ1	ℏ1	PROPN
ejpam-7172	89	45	2	2	NUM
ejpam-7172	89	46	ζ	ζ	NOUN
ejpam-7172	89	47	)	)	PUNCT
ejpam-7172	89	48	,	,	PUNCT
ejpam-7172	89	49	(	(	PUNCT
ejpam-7172	89	50	20	20	NUM
ejpam-7172	89	51	)	)	PUNCT
ejpam-7172	89	52	f11(ζ	f11(ζ	NOUN
ejpam-7172	89	53	)	)	PUNCT
ejpam-7172	89	54	=	=	SYM
ejpam-7172	89	55	±	±	NOUN
ejpam-7172	89	56	√	√	PUNCT
ejpam-7172	89	57	ℏ1	ℏ1	PROPN
ejpam-7172	89	58	2	2	NUM
ejpam-7172	90	1	[	[	X
ejpam-7172	90	2	tanpq	tanpq	NOUN
ejpam-7172	90	3	(	(	PUNCT
ejpam-7172	90	4	√	√	PROPN
ejpam-7172	90	5	2ℏ1ζ)±	2ℏ1ζ)±	NUM
ejpam-7172	90	6	√	√	PROPN
ejpam-7172	90	7	pq	pq	NUM
ejpam-7172	90	8	secpq	secpq	PROPN
ejpam-7172	90	9	(	(	PUNCT
ejpam-7172	90	10	√	√	NOUN
ejpam-7172	90	11	2ℏ1ζ	2ℏ1ζ	NUM
ejpam-7172	90	12	)	)	PUNCT
ejpam-7172	90	13	]	]	PUNCT
ejpam-7172	90	14	,	,	PUNCT
ejpam-7172	90	15	(	(	PUNCT
ejpam-7172	90	16	21	21	NUM
ejpam-7172	90	17	)	)	PUNCT
ejpam-7172	90	18	f12(ζ	f12(ζ	NOUN
ejpam-7172	90	19	)	)	PUNCT
ejpam-7172	90	20	=	=	SYM
ejpam-7172	90	21	±	±	PROPN
ejpam-7172	90	22	√	√	PUNCT
ejpam-7172	90	23	ℏ1	ℏ1	PROPN
ejpam-7172	90	24	2	2	NUM
ejpam-7172	90	25	[	[	X
ejpam-7172	90	26	cotpq	cotpq	NOUN
ejpam-7172	90	27	(	(	PUNCT
ejpam-7172	90	28	√	√	PROPN
ejpam-7172	90	29	2ℏ1ζ)±	2ℏ1ζ)±	NUM
ejpam-7172	90	30	√	√	PROPN
ejpam-7172	90	31	pq	pq	NUM
ejpam-7172	90	32	cscpq	cscpq	NOUN
ejpam-7172	90	33	(	(	PUNCT
ejpam-7172	90	34	√	√	NUM
ejpam-7172	90	35	2ℏ1ζ	2ℏ1ζ	NUM
ejpam-7172	90	36	)	)	PUNCT
ejpam-7172	90	37	]	]	PUNCT
ejpam-7172	90	38	,	,	PUNCT
ejpam-7172	90	39	(	(	PUNCT
ejpam-7172	90	40	22	22	NUM
ejpam-7172	90	41	)	)	PUNCT
ejpam-7172	90	42	and	and	CCONJ
ejpam-7172	90	43	f13(ζ	f13(ζ	NOUN
ejpam-7172	90	44	)	)	PUNCT
ejpam-7172	90	45	=	=	SYM
ejpam-7172	90	46	±	±	NUM
ejpam-7172	90	47	√	√	PUNCT
ejpam-7172	90	48	ℏ1	ℏ1	PROPN
ejpam-7172	90	49	8	8	NUM
ejpam-7172	90	50	[	[	X
ejpam-7172	90	51	tanpq	tanpq	NOUN
ejpam-7172	90	52	(	(	PUNCT
ejpam-7172	90	53	√	√	NUM
ejpam-7172	90	54	ℏ1	ℏ1	PROPN
ejpam-7172	90	55	8	8	NUM
ejpam-7172	90	56	ζ	ζ	NOUN
ejpam-7172	90	57	)	)	PUNCT
ejpam-7172	90	58	+	+	NOUN
ejpam-7172	90	59	cotpq	cotpq	NOUN
ejpam-7172	90	60	(	(	PUNCT
ejpam-7172	90	61	√	√	NUM
ejpam-7172	90	62	ℏ1	ℏ1	PROPN
ejpam-7172	90	63	8	8	NUM
ejpam-7172	90	64	ζ	ζ	NOUN
ejpam-7172	90	65	)	)	PUNCT
ejpam-7172	90	66	]	]	PUNCT
ejpam-7172	90	67	,	,	PUNCT
ejpam-7172	90	68	(	(	PUNCT
ejpam-7172	90	69	23	23	NUM
ejpam-7172	90	70	)	)	PUNCT
ejpam-7172	90	71	where	where	SCONJ
ejpam-7172	90	72	tanpq(θ	tanpq(θ	VERB
ejpam-7172	90	73	)	)	PUNCT
ejpam-7172	90	74	=	=	SYM
ejpam-7172	90	75	−i	−i	ADJ
ejpam-7172	90	76	peθi	peθi	NOUN
ejpam-7172	90	77	−	−	PROPN
ejpam-7172	90	78	qe−θi	qe−θi	PROPN
ejpam-7172	90	79	peθi	peθi	NOUN
ejpam-7172	90	80	+	+	CCONJ
ejpam-7172	90	81	qe−θi	qe−θi	PROPN
ejpam-7172	90	82	and	and	CCONJ
ejpam-7172	90	83	cotpq(θ	cotpq(θ	NOUN
ejpam-7172	90	84	)	)	PUNCT
ejpam-7172	90	85	=	=	SYM
ejpam-7172	91	1	i	i	PRON
ejpam-7172	91	2	peθi	peθi	VERB
ejpam-7172	91	3	+	+	CCONJ
ejpam-7172	91	4	qe−θi	qe−θi	PROPN
ejpam-7172	91	5	peθi	peθi	NOUN
ejpam-7172	91	6	−	−	PROPN
ejpam-7172	91	7	qe−θi	qe−θi	PROPN
ejpam-7172	91	8	.	.	PUNCT
ejpam-7172	92	1	4	4	X
ejpam-7172	92	2	.	.	X
ejpam-7172	92	3	exact	exact	ADJ
ejpam-7172	92	4	solutions	solution	NOUN
ejpam-7172	92	5	of	of	ADP
ejpam-7172	92	6	the	the	DET
ejpam-7172	92	7	the	the	DET
ejpam-7172	92	8	scs	scs	PROPN
ejpam-7172	92	9	-	-	PUNCT
ejpam-7172	92	10	kdves	kdve	NOUN
ejpam-7172	92	11	-	-	PUNCT
ejpam-7172	92	12	cdo	cdo	NOUN
ejpam-7172	92	13	first	first	ADV
ejpam-7172	92	14	,	,	PUNCT
ejpam-7172	92	15	let	let	VERB
ejpam-7172	92	16	us	we	PRON
ejpam-7172	92	17	equate	equate	VERB
ejpam-7172	92	18	u′′	u′′	PROPN
ejpam-7172	92	19	with	with	ADP
ejpam-7172	92	20	uv	uv	NOUN
ejpam-7172	92	21	and	and	CCONJ
ejpam-7172	92	22	v′′	v′′	VERB
ejpam-7172	92	23	with	with	ADP
ejpam-7172	92	24	v2	v2	PROPN
ejpam-7172	92	25	in	in	ADP
ejpam-7172	92	26	eq	eq	ADP
ejpam-7172	92	27	.	.	PUNCT
ejpam-7172	93	1	(	(	PUNCT
ejpam-7172	93	2	8)	8)	NUM
ejpam-7172	93	3	to	to	PART
ejpam-7172	93	4	determine	determine	VERB
ejpam-7172	93	5	the	the	DET
ejpam-7172	93	6	parameters	parameter	NOUN
ejpam-7172	93	7	m1	m1	PROPN
ejpam-7172	93	8	and	and	CCONJ
ejpam-7172	93	9	m2	m2	PROPN
ejpam-7172	93	10	as	as	ADP
ejpam-7172	93	11	m1	m1	PROPN
ejpam-7172	93	12	=	=	SYM
ejpam-7172	93	13	2	2	NUM
ejpam-7172	93	14	and	and	CCONJ
ejpam-7172	93	15	m2	m2	PROPN
ejpam-7172	93	16	=	=	PROPN
ejpam-7172	93	17	2	2	X
ejpam-7172	93	18	.	.	PUNCT
ejpam-7172	93	19	with	with	ADP
ejpam-7172	93	20	m1	m1	PROPN
ejpam-7172	93	21	=	=	SYM
ejpam-7172	93	22	2	2	NUM
ejpam-7172	93	23	and	and	CCONJ
ejpam-7172	93	24	m2	m2	PROPN
ejpam-7172	93	25	=	=	PROPN
ejpam-7172	93	26	2	2	NUM
ejpam-7172	93	27	,	,	PUNCT
ejpam-7172	93	28	eq	eq	NOUN
ejpam-7172	93	29	.	.	PUNCT
ejpam-7172	94	1	(	(	PUNCT
ejpam-7172	94	2	9	9	NUM
ejpam-7172	94	3	)	)	PUNCT
ejpam-7172	94	4	has	have	VERB
ejpam-7172	94	5	the	the	DET
ejpam-7172	94	6	form	form	NOUN
ejpam-7172	94	7	u(ζ	u(ζ	PROPN
ejpam-7172	94	8	)	)	PUNCT
ejpam-7172	95	1	=	=	PUNCT
ejpam-7172	96	1	ℓ0	ℓ0	INTJ
ejpam-7172	96	2	+	+	CCONJ
ejpam-7172	96	3	ℓ1f(ζ	ℓ1f(ζ	NOUN
ejpam-7172	96	4	)	)	PUNCT
ejpam-7172	97	1	+	+	CCONJ
ejpam-7172	97	2	ℓ2f2(ζ	ℓ2f2(ζ	NOUN
ejpam-7172	97	3	)	)	PUNCT
ejpam-7172	97	4	,	,	PUNCT
ejpam-7172	97	5	v(ζ	v(ζ	PROPN
ejpam-7172	97	6	)	)	PUNCT
ejpam-7172	97	7	=	=	PUNCT
ejpam-7172	97	8	ϖ0	ϖ0	NOUN
ejpam-7172	97	9	+	+	NOUN
ejpam-7172	97	10	ϖ1f(ζ	ϖ1f(ζ	NOUN
ejpam-7172	97	11	)	)	PUNCT
ejpam-7172	98	1	+	+	NOUN
ejpam-7172	98	2	ϖ2f2(ζ	ϖ2f2(ζ	NOUN
ejpam-7172	98	3	)	)	PUNCT
ejpam-7172	98	4	.	.	PUNCT
ejpam-7172	99	1	(	(	PUNCT
ejpam-7172	99	2	24	24	NUM
ejpam-7172	99	3	)	)	PUNCT
ejpam-7172	99	4	substituting	substitute	VERB
ejpam-7172	99	5	eq	eq	PROPN
ejpam-7172	99	6	.	.	PUNCT
ejpam-7172	100	1	(	(	PUNCT
ejpam-7172	100	2	24	24	NUM
ejpam-7172	100	3	)	)	PUNCT
ejpam-7172	100	4	into	into	ADP
ejpam-7172	100	5	eq	eq	NOUN
ejpam-7172	100	6	.	.	PUNCT
ejpam-7172	101	1	(	(	PUNCT
ejpam-7172	101	2	8)	8)	NUM
ejpam-7172	101	3	,	,	PUNCT
ejpam-7172	101	4	we	we	PRON
ejpam-7172	101	5	obtain	obtain	VERB
ejpam-7172	101	6	[	[	X
ejpam-7172	101	7	ℓ2ϖ2	ℓ2ϖ2	X
ejpam-7172	101	8	+	+	X
ejpam-7172	101	9	6ℓ2]f4	6ℓ2]f4	NUM
ejpam-7172	101	10	+	+	PUNCT
ejpam-7172	102	1	[	[	X
ejpam-7172	102	2	2ℓ1	2ℓ1	NUM
ejpam-7172	102	3	+	+	CCONJ
ejpam-7172	102	4	ℓ1ϖ2	ℓ1ϖ2	SYM
ejpam-7172	102	5	+	+	NUM
ejpam-7172	102	6	ℓ2ϖ1]f3	ℓ2ϖ1]f3	PROPN
ejpam-7172	102	7	w.	w.	PROPN
ejpam-7172	102	8	w.	w.	PROPN
ejpam-7172	102	9	mohammed	mohammed	PROPN
ejpam-7172	102	10	et	et	PROPN
ejpam-7172	102	11	al	al	PROPN
ejpam-7172	102	12	.	.	PUNCT
ejpam-7172	102	13	/	/	SYM
ejpam-7172	102	14	eur	eur	PROPN
ejpam-7172	102	15	.	.	PUNCT
ejpam-7172	103	1	j.	j.	PROPN
ejpam-7172	103	2	pure	pure	PROPN
ejpam-7172	103	3	appl	appl	PROPN
ejpam-7172	103	4	.	.	PROPN
ejpam-7172	103	5	math	math	PROPN
ejpam-7172	103	6	,	,	PUNCT
ejpam-7172	103	7	18	18	NUM
ejpam-7172	103	8	(	(	PUNCT
ejpam-7172	103	9	4	4	NUM
ejpam-7172	103	10	)	)	PUNCT
ejpam-7172	103	11	(	(	PUNCT
ejpam-7172	103	12	2025	2025	NUM
ejpam-7172	103	13	)	)	PUNCT
ejpam-7172	103	14	,	,	PUNCT
ejpam-7172	103	15	7172	7172	NUM
ejpam-7172	103	16	6	6	NUM
ejpam-7172	103	17	of	of	ADP
ejpam-7172	103	18	22	22	NUM
ejpam-7172	104	1	+	+	NOUN
ejpam-7172	104	2	[	[	X
ejpam-7172	104	3	4ℏ1ℓ2	4ℏ1ℓ2	X
ejpam-7172	104	4	+	+	CCONJ
ejpam-7172	104	5	(	(	PUNCT
ejpam-7172	104	6	δ	δ	PROPN
ejpam-7172	104	7	−	−	PROPN
ejpam-7172	104	8	k2	k2	ADJ
ejpam-7172	104	9	)	)	PUNCT
ejpam-7172	104	10	ℓ2	ℓ2	NOUN
ejpam-7172	104	11	+	+	CCONJ
ejpam-7172	104	12	ℓ0ϖ2	ℓ0ϖ2	PROPN
ejpam-7172	104	13	+	+	NUM
ejpam-7172	104	14	ℓ2ϖ0	ℓ2ϖ0	PROPN
ejpam-7172	104	15	+	+	NUM
ejpam-7172	104	16	ℓ1ϖ1]f2	ℓ1ϖ1]f2	NOUN
ejpam-7172	104	17	+	+	PROPN
ejpam-7172	104	18	[	[	X
ejpam-7172	104	19	ℏ1ℓ1	ℏ1ℓ1	X
ejpam-7172	104	20	+	+	CCONJ
ejpam-7172	104	21	(	(	PUNCT
ejpam-7172	104	22	δ	δ	PROPN
ejpam-7172	104	23	−	−	PROPN
ejpam-7172	104	24	k2	k2	PROPN
ejpam-7172	104	25	)	)	PUNCT
ejpam-7172	104	26	ℓ1	ℓ1	NOUN
ejpam-7172	104	27	+	+	CCONJ
ejpam-7172	104	28	ℓ1ϖ0	ℓ1ϖ0	PROPN
ejpam-7172	104	29	+	+	NUM
ejpam-7172	104	30	ℓ0ϖ1]f	ℓ0ϖ1]f	PUNCT
ejpam-7172	105	1	+	+	PUNCT
ejpam-7172	105	2	[	[	X
ejpam-7172	105	3	2ℏ2ℓ2	2ℏ2ℓ2	NUM
ejpam-7172	105	4	+	+	CCONJ
ejpam-7172	105	5	(	(	PUNCT
ejpam-7172	105	6	δ	δ	PROPN
ejpam-7172	105	7	−	−	PROPN
ejpam-7172	105	8	k2	k2	PROPN
ejpam-7172	105	9	)	)	PUNCT
ejpam-7172	106	1	ℓ0	ℓ0	PROPN
ejpam-7172	106	2	+	+	CCONJ
ejpam-7172	106	3	ℓ0ϖ0	ℓ0ϖ0	VERB
ejpam-7172	106	4	]	]	X
ejpam-7172	106	5	=	=	SYM
ejpam-7172	106	6	0	0	NUM
ejpam-7172	106	7	,	,	PUNCT
ejpam-7172	106	8	and	and	CCONJ
ejpam-7172	106	9	(	(	PUNCT
ejpam-7172	106	10	6ϖ2	6ϖ2	NUM
ejpam-7172	106	11	−	−	NOUN
ejpam-7172	106	12	ℓ22	ℓ22	NOUN
ejpam-7172	106	13	+	+	NUM
ejpam-7172	106	14	3ϖ2	3ϖ2	NUM
ejpam-7172	106	15	2)f4	2)f4	NUM
ejpam-7172	106	16	+	+	CCONJ
ejpam-7172	106	17	(	(	PUNCT
ejpam-7172	106	18	2ϖ1	2ϖ1	NUM
ejpam-7172	106	19	+	+	SYM
ejpam-7172	106	20	6ϖ1ϖ2	6ϖ1ϖ2	NUM
ejpam-7172	106	21	−	−	NOUN
ejpam-7172	106	22	2ℓ1ℓ2)f3	2ℓ1ℓ2)f3	NUM
ejpam-7172	106	23	+	+	ADJ
ejpam-7172	106	24	(	(	PUNCT
ejpam-7172	106	25	4ϖ2ℏ1	4ϖ2ℏ1	NUM
ejpam-7172	106	26	+	+	CCONJ
ejpam-7172	106	27	2kϖ2	2kϖ2	NUM
ejpam-7172	106	28	+	+	CCONJ
ejpam-7172	106	29	6ϖ0ϖ2	6ϖ0ϖ2	NUM
ejpam-7172	106	30	−	−	NOUN
ejpam-7172	106	31	2ℓ0ℓ2	2ℓ0ℓ2	NUM
ejpam-7172	107	1	+	+	CCONJ
ejpam-7172	107	2	3ϖ2	3ϖ2	NUM
ejpam-7172	107	3	1	1	NUM
ejpam-7172	107	4	−	−	PRON
ejpam-7172	107	5	ℓ21)f2	ℓ21)f2	NOUN
ejpam-7172	107	6	+	+	NOUN
ejpam-7172	107	7	(	(	PUNCT
ejpam-7172	107	8	ℏ1ϖ1	ℏ1ϖ1	X
ejpam-7172	107	9	+	+	X
ejpam-7172	107	10	2kϖ1	2kϖ1	NUM
ejpam-7172	107	11	+	+	CCONJ
ejpam-7172	107	12	6ϖ0ϖ1	6ϖ0ϖ1	NUM
ejpam-7172	107	13	−	−	NOUN
ejpam-7172	107	14	2ℓ0ℓ1)f	2ℓ0ℓ1)f	NOUN
ejpam-7172	107	15	+	+	NOUN
ejpam-7172	107	16	(	(	PUNCT
ejpam-7172	107	17	2ℏ2ϖ2	2ℏ2ϖ2	NUM
ejpam-7172	107	18	+	+	SYM
ejpam-7172	107	19	2kϖ0	2kϖ0	NUM
ejpam-7172	107	20	+	+	CCONJ
ejpam-7172	107	21	3ϖ2	3ϖ2	NUM
ejpam-7172	107	22	0	0	NUM
ejpam-7172	107	23	−	−	NOUN
ejpam-7172	107	24	ℓ20	ℓ20	NOUN
ejpam-7172	107	25	)	)	PUNCT
ejpam-7172	107	26	=	=	SYM
ejpam-7172	108	1	0	0	X
ejpam-7172	108	2	.	.	X
ejpam-7172	109	1	for	for	ADP
ejpam-7172	109	2	j	j	PROPN
ejpam-7172	109	3	=	=	SYM
ejpam-7172	109	4	4	4	NUM
ejpam-7172	109	5	,	,	PUNCT
ejpam-7172	109	6	3	3	NUM
ejpam-7172	109	7	,	,	PUNCT
ejpam-7172	109	8	2	2	NUM
ejpam-7172	109	9	,	,	PUNCT
ejpam-7172	109	10	1	1	NUM
ejpam-7172	109	11	,	,	PUNCT
ejpam-7172	109	12	0	0	NUM
ejpam-7172	109	13	,	,	PUNCT
ejpam-7172	109	14	we	we	PRON
ejpam-7172	109	15	balance	balance	VERB
ejpam-7172	109	16	each	each	DET
ejpam-7172	109	17	coefficient	coefficient	NOUN
ejpam-7172	109	18	of	of	ADP
ejpam-7172	109	19	f	f	PROPN
ejpam-7172	109	20	j	j	PROPN
ejpam-7172	109	21	with	with	ADP
ejpam-7172	109	22	zero	zero	NUM
ejpam-7172	109	23	to	to	PART
ejpam-7172	109	24	get	get	VERB
ejpam-7172	109	25	ℓ2ϖ2	ℓ2ϖ2	NOUN
ejpam-7172	109	26	+	+	ADJ
ejpam-7172	109	27	6ℓ2	6ℓ2	NUM
ejpam-7172	109	28	=	=	SYM
ejpam-7172	109	29	0	0	NUM
ejpam-7172	109	30	,	,	PUNCT
ejpam-7172	109	31	2ℓ1	2ℓ1	NUM
ejpam-7172	110	1	+	+	CCONJ
ejpam-7172	110	2	ℓ1ϖ2	ℓ1ϖ2	SYM
ejpam-7172	110	3	+	+	NUM
ejpam-7172	110	4	ℓ2ϖ1	ℓ2ϖ1	NOUN
ejpam-7172	110	5	=	=	SYM
ejpam-7172	110	6	0	0	NUM
ejpam-7172	110	7	,	,	PUNCT
ejpam-7172	110	8	4ℏ1ℓ2	4ℏ1ℓ2	PROPN
ejpam-7172	111	1	+	+	CCONJ
ejpam-7172	111	2	(	(	PUNCT
ejpam-7172	111	3	δ	δ	PROPN
ejpam-7172	111	4	−	−	PROPN
ejpam-7172	111	5	k2	k2	ADJ
ejpam-7172	111	6	)	)	PUNCT
ejpam-7172	111	7	ℓ2	ℓ2	NOUN
ejpam-7172	111	8	+	+	CCONJ
ejpam-7172	111	9	ℓ0ϖ2	ℓ0ϖ2	PROPN
ejpam-7172	111	10	+	+	NUM
ejpam-7172	111	11	ℓ2ϖ0	ℓ2ϖ0	PROPN
ejpam-7172	111	12	+	+	NUM
ejpam-7172	111	13	ℓ1ϖ1	ℓ1ϖ1	X
ejpam-7172	111	14	=	=	SYM
ejpam-7172	111	15	0	0	NUM
ejpam-7172	111	16	,	,	PUNCT
ejpam-7172	111	17	ℏ1ℓ1	ℏ1ℓ1	PUNCT
ejpam-7172	111	18	+	+	CCONJ
ejpam-7172	111	19	(	(	PUNCT
ejpam-7172	111	20	δ	δ	PROPN
ejpam-7172	111	21	−	−	PROPN
ejpam-7172	111	22	k2	k2	PROPN
ejpam-7172	111	23	)	)	PUNCT
ejpam-7172	111	24	ℓ1	ℓ1	NOUN
ejpam-7172	111	25	+	+	CCONJ
ejpam-7172	112	1	ℓ1ϖ0	ℓ1ϖ0	PROPN
ejpam-7172	112	2	+	+	NUM
ejpam-7172	112	3	ℓ0ϖ1	ℓ0ϖ1	NOUN
ejpam-7172	112	4	=	=	SYM
ejpam-7172	112	5	0	0	NUM
ejpam-7172	112	6	,	,	PUNCT
ejpam-7172	112	7	2ℏ2ℓ2	2ℏ2ℓ2	NUM
ejpam-7172	112	8	+	+	CCONJ
ejpam-7172	112	9	(	(	PUNCT
ejpam-7172	112	10	δ	δ	PROPN
ejpam-7172	112	11	−	−	PROPN
ejpam-7172	112	12	k2	k2	PROPN
ejpam-7172	112	13	)	)	PUNCT
ejpam-7172	113	1	ℓ0	ℓ0	PROPN
ejpam-7172	113	2	+	+	CCONJ
ejpam-7172	113	3	ℓ0ϖ0	ℓ0ϖ0	PROPN
ejpam-7172	113	4	=	=	SYM
ejpam-7172	113	5	0	0	NUM
ejpam-7172	113	6	,	,	PUNCT
ejpam-7172	113	7	and	and	CCONJ
ejpam-7172	113	8	6ϖ2	6ϖ2	NUM
ejpam-7172	113	9	−	−	NOUN
ejpam-7172	113	10	ℓ22	ℓ22	NOUN
ejpam-7172	113	11	+	+	CCONJ
ejpam-7172	113	12	3ϖ2	3ϖ2	NUM
ejpam-7172	113	13	2	2	NUM
ejpam-7172	113	14	=	=	SYM
ejpam-7172	113	15	0	0	NUM
ejpam-7172	113	16	,	,	PUNCT
ejpam-7172	113	17	2ϖ1	2ϖ1	NUM
ejpam-7172	113	18	+	+	CCONJ
ejpam-7172	113	19	6ϖ1ϖ2	6ϖ1ϖ2	NUM
ejpam-7172	113	20	−	−	NOUN
ejpam-7172	113	21	2ℓ1ℓ2	2ℓ1ℓ2	NUM
ejpam-7172	113	22	=	=	SYM
ejpam-7172	113	23	0	0	NUM
ejpam-7172	113	24	,	,	PUNCT
ejpam-7172	113	25	4ϖ2ℏ1	4ϖ2ℏ1	NUM
ejpam-7172	113	26	+	+	CCONJ
ejpam-7172	113	27	2kϖ2	2kϖ2	NUM
ejpam-7172	113	28	+	+	CCONJ
ejpam-7172	113	29	6ϖ0ϖ2	6ϖ0ϖ2	NUM
ejpam-7172	113	30	−	−	NOUN
ejpam-7172	113	31	2ℓ0ℓ2	2ℓ0ℓ2	NUM
ejpam-7172	114	1	+	+	CCONJ
ejpam-7172	114	2	3ϖ2	3ϖ2	NUM
ejpam-7172	114	3	1	1	NUM
ejpam-7172	114	4	−	−	NOUN
ejpam-7172	114	5	ℓ21	ℓ21	NOUN
ejpam-7172	114	6	=	=	NOUN
ejpam-7172	114	7	0	0	NUM
ejpam-7172	114	8	,	,	PUNCT
ejpam-7172	114	9	ℏ1ϖ1	ℏ1ϖ1	X
ejpam-7172	114	10	+	+	X
ejpam-7172	114	11	2kϖ1	2kϖ1	NUM
ejpam-7172	115	1	+	+	CCONJ
ejpam-7172	115	2	6ϖ0ϖ1	6ϖ0ϖ1	NUM
ejpam-7172	115	3	−	−	NOUN
ejpam-7172	115	4	2ℓ0ℓ1	2ℓ0ℓ1	NUM
ejpam-7172	115	5	=	=	SYM
ejpam-7172	115	6	0	0	NUM
ejpam-7172	115	7	,	,	PUNCT
ejpam-7172	115	8	2ℏ2ϖ2	2ℏ2ϖ2	NUM
ejpam-7172	115	9	+	+	CCONJ
ejpam-7172	115	10	2kϖ0	2kϖ0	NUM
ejpam-7172	116	1	+	+	CCONJ
ejpam-7172	116	2	3ϖ2	3ϖ2	NUM
ejpam-7172	116	3	0	0	NUM
ejpam-7172	117	1	−	−	NOUN
ejpam-7172	117	2	ℓ20	ℓ20	NOUN
ejpam-7172	117	3	=	=	SYM
ejpam-7172	117	4	0	0	X
ejpam-7172	117	5	.	.	PUNCT
ejpam-7172	118	1	by	by	ADP
ejpam-7172	118	2	solving	solve	VERB
ejpam-7172	118	3	the	the	DET
ejpam-7172	118	4	above	above	ADJ
ejpam-7172	118	5	equations	equation	NOUN
ejpam-7172	118	6	,	,	PUNCT
ejpam-7172	118	7	we	we	PRON
ejpam-7172	118	8	have	have	VERB
ejpam-7172	118	9	two	two	NUM
ejpam-7172	118	10	sets	set	NOUN
ejpam-7172	118	11	of	of	ADP
ejpam-7172	118	12	solutions	solution	NOUN
ejpam-7172	118	13	as	as	SCONJ
ejpam-7172	118	14	follows	follow	VERB
ejpam-7172	118	15	:	:	PUNCT
ejpam-7172	118	16	set	set	VERB
ejpam-7172	118	17	i	i	PRON
ejpam-7172	118	18	:	:	PUNCT
ejpam-7172	119	1	ℓ0	ℓ0	ADV
ejpam-7172	119	2	=	=	SYM
ejpam-7172	119	3	ℓ2	ℓ2	PROPN
ejpam-7172	119	4	=	=	SYM
ejpam-7172	119	5	0	0	NUM
ejpam-7172	119	6	,	,	PUNCT
ejpam-7172	119	7	ℓ1	ℓ1	NOUN
ejpam-7172	119	8	=	=	SYM
ejpam-7172	119	9	±2	±2	NOUN
ejpam-7172	119	10	√	√	PROPN
ejpam-7172	119	11	(	(	PUNCT
ejpam-7172	119	12	ℏ1	ℏ1	PROPN
ejpam-7172	119	13	−	−	PROPN
ejpam-7172	119	14	k	k	NOUN
ejpam-7172	119	15	−	−	PROPN
ejpam-7172	119	16	3k2	3k2	NUM
ejpam-7172	120	1	+	+	CCONJ
ejpam-7172	120	2	3δ	3δ	NOUN
ejpam-7172	120	3	)	)	PUNCT
ejpam-7172	120	4	,	,	PUNCT
ejpam-7172	120	5	ϖ0	ϖ0	NOUN
ejpam-7172	120	6	=	=	SYM
ejpam-7172	120	7	k2	k2	ADJ
ejpam-7172	120	8	−	−	PROPN
ejpam-7172	120	9	δ	δ	PROPN
ejpam-7172	120	10	−	−	PROPN
ejpam-7172	120	11	ℏ1	ℏ1	PROPN
ejpam-7172	120	12	,	,	PUNCT
ejpam-7172	120	13	ϖ1	ϖ1	NOUN
ejpam-7172	120	14	=	=	SYM
ejpam-7172	120	15	0	0	NUM
ejpam-7172	120	16	,	,	PUNCT
ejpam-7172	120	17	ϖ2	ϖ2	NOUN
ejpam-7172	120	18	=	=	SYM
ejpam-7172	120	19	−2	−2	NOUN
ejpam-7172	120	20	.	.	PUNCT
ejpam-7172	121	1	(	(	PUNCT
ejpam-7172	121	2	25	25	NUM
ejpam-7172	121	3	)	)	PUNCT
ejpam-7172	121	4	set	set	NOUN
ejpam-7172	121	5	ii	ii	NOUN
ejpam-7172	121	6	:	:	PUNCT
ejpam-7172	121	7	ℓ0	ℓ0	ADV
ejpam-7172	121	8	=	=	PRON
ejpam-7172	121	9	±2	±2	ADJ
ejpam-7172	121	10	√	√	ADV
ejpam-7172	121	11	2	2	NUM
ejpam-7172	121	12	(	(	PUNCT
ejpam-7172	121	13	10ℏ1	10ℏ1	NUM
ejpam-7172	121	14	−	−	NOUN
ejpam-7172	121	15	√	√	PROPN
ejpam-7172	121	16	ℏ1	ℏ1	PROPN
ejpam-7172	121	17	−	−	PROPN
ejpam-7172	121	18	3ℏ2	3ℏ2	NUM
ejpam-7172	121	19	)	)	PUNCT
ejpam-7172	121	20	,	,	PUNCT
ejpam-7172	121	21	ℓ1	ℓ1	NOUN
ejpam-7172	121	22	=	=	SYM
ejpam-7172	121	23	0	0	NUM
ejpam-7172	121	24	,	,	PUNCT
ejpam-7172	121	25	ℓ2	ℓ2	NOUN
ejpam-7172	121	26	=	=	SYM
ejpam-7172	121	27	±6	±6	NOUN
ejpam-7172	121	28	√	√	ADV
ejpam-7172	121	29	2	2	NUM
ejpam-7172	121	30	ϖ0	ϖ0	NOUN
ejpam-7172	121	31	=	=	SYM
ejpam-7172	122	1	−(2ℏ1	−(2ℏ1	NOUN
ejpam-7172	123	1	+	+	CCONJ
ejpam-7172	123	2	1	1	NUM
ejpam-7172	123	3	3k	3k	NUM
ejpam-7172	123	4	+	+	CCONJ
ejpam-7172	123	5	4	4	NUM
ejpam-7172	123	6	3	3	NUM
ejpam-7172	123	7	√	√	NOUN
ejpam-7172	123	8	ℏ1	ℏ1	PROPN
ejpam-7172	123	9	−	−	PROPN
ejpam-7172	123	10	3ℏ2	3ℏ2	NUM
ejpam-7172	123	11	)	)	PUNCT
ejpam-7172	123	12	,	,	PUNCT
ejpam-7172	123	13	ϖ1	ϖ1	PROPN
ejpam-7172	123	14	=	=	SYM
ejpam-7172	123	15	0	0	NUM
ejpam-7172	123	16	,	,	PUNCT
ejpam-7172	123	17	ϖ2	ϖ2	NOUN
ejpam-7172	123	18	=	=	SYM
ejpam-7172	123	19	−6	−6	NOUN
ejpam-7172	123	20	,	,	PUNCT
ejpam-7172	123	21	δ	δ	X
ejpam-7172	123	22	=	=	SYM
ejpam-7172	123	23	−k2	−k2	PROPN
ejpam-7172	123	24	−	−	PROPN
ejpam-7172	124	1	1	1	NUM
ejpam-7172	124	2	3k	3k	NOUN
ejpam-7172	124	3	±	±	NUM
ejpam-7172	124	4	10	10	NUM
ejpam-7172	124	5	3	3	NUM
ejpam-7172	124	6	√	√	PROPN
ejpam-7172	124	7	ℏ1	ℏ1	PROPN
ejpam-7172	124	8	−	−	PROPN
ejpam-7172	124	9	3ℏ2	3ℏ2	NUM
ejpam-7172	124	10	.	.	PUNCT
ejpam-7172	125	1	(	(	PUNCT
ejpam-7172	125	2	26	26	NUM
ejpam-7172	125	3	)	)	PUNCT
ejpam-7172	125	4	set	set	NOUN
ejpam-7172	125	5	i	i	PRON
ejpam-7172	125	6	:	:	PUNCT
ejpam-7172	125	7	plugging	plug	VERB
ejpam-7172	125	8	(	(	PUNCT
ejpam-7172	125	9	25	25	NUM
ejpam-7172	125	10	)	)	PUNCT
ejpam-7172	125	11	into	into	ADP
ejpam-7172	125	12	eq	eq	NOUN
ejpam-7172	125	13	.	.	PUNCT
ejpam-7172	126	1	(	(	PUNCT
ejpam-7172	126	2	24	24	NUM
ejpam-7172	126	3	)	)	PUNCT
ejpam-7172	126	4	,	,	PUNCT
ejpam-7172	126	5	we	we	PRON
ejpam-7172	126	6	obtain	obtain	VERB
ejpam-7172	126	7	the	the	DET
ejpam-7172	126	8	next	next	ADJ
ejpam-7172	126	9	solution	solution	NOUN
ejpam-7172	126	10	for	for	ADP
ejpam-7172	126	11	the	the	DET
ejpam-7172	126	12	traveling	travel	VERB
ejpam-7172	126	13	wave	wave	NOUN
ejpam-7172	126	14	eq	eq	ADP
ejpam-7172	126	15	.	.	PUNCT
ejpam-7172	127	1	(	(	PUNCT
ejpam-7172	127	2	8)	8)	NUM
ejpam-7172	127	3	:	:	PUNCT
ejpam-7172	127	4	u	u	NOUN
ejpam-7172	127	5	=	=	NOUN
ejpam-7172	127	6	±2	±2	NOUN
ejpam-7172	127	7	√	√	PROPN
ejpam-7172	127	8	(	(	PUNCT
ejpam-7172	127	9	ℏ1	ℏ1	PROPN
ejpam-7172	127	10	−	−	PROPN
ejpam-7172	127	11	k	k	NOUN
ejpam-7172	127	12	−	−	PROPN
ejpam-7172	127	13	3k2	3k2	NUM
ejpam-7172	128	1	+	+	CCONJ
ejpam-7172	128	2	3δ)f	3δ)f	NUM
ejpam-7172	128	3	(	(	PUNCT
ejpam-7172	128	4	ζ	ζ	NOUN
ejpam-7172	128	5	)	)	PUNCT
ejpam-7172	128	6	,	,	PUNCT
ejpam-7172	128	7	(	(	PUNCT
ejpam-7172	128	8	27	27	NUM
ejpam-7172	128	9	)	)	PUNCT
ejpam-7172	128	10	w.	w.	PROPN
ejpam-7172	128	11	w.	w.	PROPN
ejpam-7172	128	12	mohammed	mohammed	PROPN
ejpam-7172	128	13	et	et	PROPN
ejpam-7172	128	14	al	al	PROPN
ejpam-7172	128	15	.	.	PUNCT
ejpam-7172	128	16	/	/	SYM
ejpam-7172	128	17	eur	eur	PROPN
ejpam-7172	128	18	.	.	PUNCT
ejpam-7172	129	1	j.	j.	PROPN
ejpam-7172	129	2	pure	pure	PROPN
ejpam-7172	129	3	appl	appl	PROPN
ejpam-7172	129	4	.	.	PROPN
ejpam-7172	129	5	math	math	PROPN
ejpam-7172	129	6	,	,	PUNCT
ejpam-7172	129	7	18	18	NUM
ejpam-7172	129	8	(	(	PUNCT
ejpam-7172	129	9	4	4	NUM
ejpam-7172	129	10	)	)	PUNCT
ejpam-7172	129	11	(	(	PUNCT
ejpam-7172	129	12	2025	2025	NUM
ejpam-7172	129	13	)	)	PUNCT
ejpam-7172	129	14	,	,	PUNCT
ejpam-7172	129	15	7172	7172	NUM
ejpam-7172	129	16	7	7	NUM
ejpam-7172	129	17	of	of	ADP
ejpam-7172	129	18	22	22	NUM
ejpam-7172	129	19	v	v	NOUN
ejpam-7172	129	20	=	=	SYM
ejpam-7172	129	21	k2	k2	PROPN
ejpam-7172	129	22	−	−	PROPN
ejpam-7172	129	23	δ	δ	PROPN
ejpam-7172	129	24	−	−	PROPN
ejpam-7172	129	25	ℏ1	ℏ1	PROPN
ejpam-7172	129	26	−	−	PROPN
ejpam-7172	129	27	2f2	2f2	NUM
ejpam-7172	129	28	(	(	PUNCT
ejpam-7172	129	29	ζ	ζ	NOUN
ejpam-7172	129	30	)	)	PUNCT
ejpam-7172	129	31	,	,	PUNCT
ejpam-7172	129	32	for	for	ADP
ejpam-7172	129	33	(	(	PUNCT
ejpam-7172	129	34	ℏ1	ℏ1	PROPN
ejpam-7172	129	35	−	−	PROPN
ejpam-7172	129	36	k	k	NOUN
ejpam-7172	129	37	−	−	PROPN
ejpam-7172	129	38	3k2	3k2	NUM
ejpam-7172	130	1	+	+	CCONJ
ejpam-7172	130	2	3δ	3δ	NUM
ejpam-7172	130	3	)	)	PUNCT
ejpam-7172	130	4	>	>	X
ejpam-7172	131	1	0	0	X
ejpam-7172	131	2	.	.	PUNCT
ejpam-7172	131	3	similarly	similarly	ADV
ejpam-7172	131	4	,	,	PUNCT
ejpam-7172	131	5	putting	put	VERB
ejpam-7172	131	6	eq	eq	NOUN
ejpam-7172	131	7	.	.	PUNCT
ejpam-7172	132	1	(	(	PUNCT
ejpam-7172	132	2	27	27	NUM
ejpam-7172	132	3	)	)	PUNCT
ejpam-7172	132	4	into	into	ADP
ejpam-7172	132	5	equation	equation	NOUN
ejpam-7172	132	6	eq	eq	ADJ
ejpam-7172	132	7	.	.	PUNCT
ejpam-7172	133	1	(	(	PUNCT
ejpam-7172	133	2	2	2	NUM
ejpam-7172	133	3	)	)	PUNCT
ejpam-7172	133	4	,	,	PUNCT
ejpam-7172	133	5	we	we	PRON
ejpam-7172	133	6	attain	attain	VERB
ejpam-7172	133	7	the	the	DET
ejpam-7172	133	8	solutions	solution	NOUN
ejpam-7172	133	9	of	of	ADP
ejpam-7172	133	10	the	the	DET
ejpam-7172	133	11	scs	scs	PROPN
ejpam-7172	133	12	-	-	PUNCT
ejpam-7172	133	13	kdves	kdve	NOUN
ejpam-7172	133	14	-	-	PUNCT
ejpam-7172	133	15	cdo	cdo	NOUN
ejpam-7172	133	16	(	(	PUNCT
ejpam-7172	133	17	1	1	NUM
ejpam-7172	133	18	)	)	PUNCT
ejpam-7172	133	19	as	as	SCONJ
ejpam-7172	133	20	follows	follow	VERB
ejpam-7172	133	21	:	:	PUNCT
ejpam-7172	134	1	y(x	y(x	PROPN
ejpam-7172	134	2	,	,	PUNCT
ejpam-7172	134	3	t	t	PROPN
ejpam-7172	134	4	)	)	PUNCT
ejpam-7172	134	5	=	=	SYM
ejpam-7172	134	6	±2	±2	ADJ
ejpam-7172	134	7	√	√	PROPN
ejpam-7172	134	8	(	(	PUNCT
ejpam-7172	134	9	ℏ1	ℏ1	PROPN
ejpam-7172	134	10	−	−	PROPN
ejpam-7172	134	11	k	k	NOUN
ejpam-7172	134	12	−	−	PROPN
ejpam-7172	134	13	3k2	3k2	NUM
ejpam-7172	135	1	+	+	CCONJ
ejpam-7172	135	2	3δ)f	3δ)f	NUM
ejpam-7172	135	3	(	(	PUNCT
ejpam-7172	135	4	ζ	ζ	NOUN
ejpam-7172	135	5	)	)	PUNCT
ejpam-7172	135	6	eiθ+ρw−	eiθ+ρw−	NOUN
ejpam-7172	135	7	1	1	NUM
ejpam-7172	135	8	2	2	NUM
ejpam-7172	135	9	ρ2	ρ2	NOUN
ejpam-7172	135	10	t	t	NOUN
ejpam-7172	135	11	,	,	PUNCT
ejpam-7172	135	12	(	(	PUNCT
ejpam-7172	135	13	28	28	NUM
ejpam-7172	135	14	)	)	PUNCT
ejpam-7172	135	15	z(x	z(x	PROPN
ejpam-7172	135	16	,	,	PUNCT
ejpam-7172	135	17	t	t	PROPN
ejpam-7172	135	18	)	)	PUNCT
ejpam-7172	135	19	=	=	SYM
ejpam-7172	135	20	{	{	PUNCT
ejpam-7172	135	21	k2	k2	PROPN
ejpam-7172	135	22	−	−	PROPN
ejpam-7172	135	23	δ	δ	PROPN
ejpam-7172	135	24	−	−	PROPN
ejpam-7172	135	25	ℏ1	ℏ1	PROPN
ejpam-7172	135	26	−	−	PROPN
ejpam-7172	135	27	2f2	2f2	NUM
ejpam-7172	136	1	(	(	PUNCT
ejpam-7172	136	2	ζ)}eρw−	ζ)}eρw−	PROPN
ejpam-7172	136	3	1	1	NUM
ejpam-7172	136	4	2	2	NUM
ejpam-7172	136	5	ρ2	ρ2	NOUN
ejpam-7172	136	6	t	t	NOUN
ejpam-7172	136	7	,	,	PUNCT
ejpam-7172	136	8	where	where	SCONJ
ejpam-7172	136	9	ζ	ζ	NOUN
ejpam-7172	136	10	=	=	SYM
ejpam-7172	136	11	1	1	NUM
ejpam-7172	136	12	αx	αx	NOUN
ejpam-7172	136	13	α	α	NOUN
ejpam-7172	136	14	+	+	CCONJ
ejpam-7172	136	15	2kt	2kt	ADJ
ejpam-7172	136	16	and	and	CCONJ
ejpam-7172	136	17	θ	θ	PROPN
ejpam-7172	136	18	=	=	SYM
ejpam-7172	137	1	k	k	PROPN
ejpam-7172	137	2	αx	αx	ADV
ejpam-7172	137	3	α	α	NOUN
ejpam-7172	137	4	+	+	X
ejpam-7172	137	5	δt	δt	PROPN
ejpam-7172	137	6	.	.	PUNCT
ejpam-7172	138	1	now	now	ADV
ejpam-7172	138	2	,	,	PUNCT
ejpam-7172	138	3	substituting	substitute	VERB
ejpam-7172	138	4	from	from	ADP
ejpam-7172	138	5	eqs	eqs	X
ejpam-7172	138	6	(	(	PUNCT
ejpam-7172	138	7	11	11	NUM
ejpam-7172	138	8	)	)	PUNCT
ejpam-7172	138	9	to	to	ADP
ejpam-7172	138	10	(	(	PUNCT
ejpam-7172	138	11	23	23	NUM
ejpam-7172	138	12	)	)	PUNCT
ejpam-7172	138	13	into	into	ADP
ejpam-7172	138	14	eq	eq	NOUN
ejpam-7172	138	15	.	.	PUNCT
ejpam-7172	139	1	(	(	PUNCT
ejpam-7172	139	2	28	28	NUM
ejpam-7172	139	3	)	)	PUNCT
ejpam-7172	139	4	,	,	PUNCT
ejpam-7172	139	5	we	we	PRON
ejpam-7172	139	6	have	have	VERB
ejpam-7172	139	7	the	the	DET
ejpam-7172	139	8	next	next	ADJ
ejpam-7172	139	9	solutions	solution	NOUN
ejpam-7172	139	10	of	of	ADP
ejpam-7172	139	11	the	the	DET
ejpam-7172	139	12	the	the	DET
ejpam-7172	139	13	scs	scs	PROPN
ejpam-7172	139	14	-	-	PUNCT
ejpam-7172	139	15	kdves	kdve	NOUN
ejpam-7172	139	16	-	-	PUNCT
ejpam-7172	139	17	cdo	cdo	NOUN
ejpam-7172	139	18	(	(	PUNCT
ejpam-7172	139	19	1	1	NUM
ejpam-7172	139	20	):	):	PUNCT
ejpam-7172	139	21	case	case	NOUN
ejpam-7172	139	22	i-1	i-1	NOUN
ejpam-7172	139	23	:	:	PUNCT
ejpam-7172	139	24	if	if	SCONJ
ejpam-7172	139	25	ℏ1	ℏ1	X
ejpam-7172	139	26	>	>	X
ejpam-7172	139	27	0	0	NUM
ejpam-7172	139	28	,	,	PUNCT
ejpam-7172	139	29	and	and	CCONJ
ejpam-7172	139	30	ℏ2	ℏ2	NOUN
ejpam-7172	139	31	=	=	SYM
ejpam-7172	139	32	0	0	NUM
ejpam-7172	139	33	,	,	PUNCT
ejpam-7172	139	34	then	then	ADV
ejpam-7172	139	35	y1,1	y1,1	PROPN
ejpam-7172	139	36	=	=	NOUN
ejpam-7172	139	37	±2	±2	ADJ
ejpam-7172	139	38	√	√	PROPN
ejpam-7172	139	39	pqℏ1	pqℏ1	PROPN
ejpam-7172	139	40	(	(	PUNCT
ejpam-7172	139	41	ℏ1	ℏ1	PROPN
ejpam-7172	139	42	−	−	PROPN
ejpam-7172	139	43	k	k	NOUN
ejpam-7172	140	1	−	−	PROPN
ejpam-7172	140	2	3k2	3k2	NUM
ejpam-7172	141	1	+	+	SYM
ejpam-7172	141	2	3δ)sechpq	3δ)sechpq	NUM
ejpam-7172	141	3	(	(	PUNCT
ejpam-7172	141	4	√	√	PUNCT
ejpam-7172	141	5	ℏ1ζ)eiθ+ρw−	ℏ1ζ)eiθ+ρw−	NOUN
ejpam-7172	141	6	1	1	NUM
ejpam-7172	141	7	2	2	NUM
ejpam-7172	141	8	ρ2	ρ2	NOUN
ejpam-7172	141	9	t	t	NOUN
ejpam-7172	141	10	,	,	PUNCT
ejpam-7172	141	11	(	(	PUNCT
ejpam-7172	141	12	29	29	NUM
ejpam-7172	141	13	)	)	PUNCT
ejpam-7172	141	14	z1,1	z1,1	NOUN
ejpam-7172	141	15	=	=	PUNCT
ejpam-7172	141	16	{	{	PUNCT
ejpam-7172	141	17	k2	k2	PROPN
ejpam-7172	141	18	−	−	PROPN
ejpam-7172	141	19	δ	δ	PROPN
ejpam-7172	141	20	−	−	PROPN
ejpam-7172	141	21	ℏ1	ℏ1	PROPN
ejpam-7172	141	22	−	−	PROPN
ejpam-7172	141	23	2pqℏ1sech2	2pqℏ1sech2	NUM
ejpam-7172	141	24	pq	pq	NOUN
ejpam-7172	141	25	(	(	PUNCT
ejpam-7172	141	26	√	√	PROPN
ejpam-7172	141	27	ℏ1ζ)}eρw−	ℏ1ζ)}eρw−	NOUN
ejpam-7172	141	28	1	1	NUM
ejpam-7172	141	29	2	2	NUM
ejpam-7172	141	30	ρ2	ρ2	NOUN
ejpam-7172	141	31	t	t	NOUN
ejpam-7172	141	32	,	,	PUNCT
ejpam-7172	141	33	(	(	PUNCT
ejpam-7172	141	34	30	30	NUM
ejpam-7172	141	35	)	)	PUNCT
ejpam-7172	141	36	and	and	CCONJ
ejpam-7172	141	37	y1,2	y1,2	ADJ
ejpam-7172	141	38	=	=	NOUN
ejpam-7172	141	39	±2	±2	ADJ
ejpam-7172	141	40	√	√	PROPN
ejpam-7172	141	41	pqℏ1	pqℏ1	PROPN
ejpam-7172	141	42	(	(	PUNCT
ejpam-7172	141	43	ℏ1	ℏ1	PROPN
ejpam-7172	141	44	−	−	PROPN
ejpam-7172	141	45	k	k	NOUN
ejpam-7172	141	46	−	−	PROPN
ejpam-7172	141	47	3k2	3k2	NUM
ejpam-7172	142	1	+	+	SYM
ejpam-7172	142	2	3δ)cschpq	3δ)cschpq	NUM
ejpam-7172	142	3	(	(	PUNCT
ejpam-7172	142	4	√	√	PUNCT
ejpam-7172	142	5	ℏ1ζ)eiθ+ρw−	ℏ1ζ)eiθ+ρw−	NOUN
ejpam-7172	142	6	1	1	NUM
ejpam-7172	142	7	2	2	NUM
ejpam-7172	142	8	ρ2	ρ2	NOUN
ejpam-7172	142	9	t	t	NOUN
ejpam-7172	142	10	,	,	PUNCT
ejpam-7172	142	11	(	(	PUNCT
ejpam-7172	142	12	31	31	NUM
ejpam-7172	142	13	)	)	PUNCT
ejpam-7172	142	14	z1,2	z1,2	NOUN
ejpam-7172	142	15	=	=	SYM
ejpam-7172	142	16	{	{	PUNCT
ejpam-7172	142	17	k2	k2	PROPN
ejpam-7172	142	18	−	−	PROPN
ejpam-7172	142	19	δ	δ	PROPN
ejpam-7172	142	20	−	−	PROPN
ejpam-7172	142	21	ℏ1	ℏ1	PROPN
ejpam-7172	142	22	−	−	PROPN
ejpam-7172	142	23	2pqℏ1csch2	2pqℏ1csch2	NUM
ejpam-7172	142	24	pq	pq	PROPN
ejpam-7172	142	25	(	(	PUNCT
ejpam-7172	142	26	√	√	PROPN
ejpam-7172	142	27	ℏ1ζ)}eρw−	ℏ1ζ)}eρw−	NOUN
ejpam-7172	142	28	1	1	NUM
ejpam-7172	142	29	2	2	NUM
ejpam-7172	142	30	ρ2	ρ2	NOUN
ejpam-7172	142	31	t	t	NOUN
ejpam-7172	142	32	,	,	PUNCT
ejpam-7172	142	33	(	(	PUNCT
ejpam-7172	142	34	32	32	NUM
ejpam-7172	142	35	)	)	PUNCT
ejpam-7172	142	36	for	for	ADP
ejpam-7172	142	37	(	(	PUNCT
ejpam-7172	142	38	ℏ1	ℏ1	PROPN
ejpam-7172	142	39	−	−	PROPN
ejpam-7172	142	40	k	k	NOUN
ejpam-7172	143	1	−	−	PROPN
ejpam-7172	143	2	3k2	3k2	NUM
ejpam-7172	144	1	+	+	CCONJ
ejpam-7172	144	2	3δ	3δ	NUM
ejpam-7172	144	3	)	)	PUNCT
ejpam-7172	144	4	>	>	X
ejpam-7172	144	5	0	0	X
ejpam-7172	144	6	.	.	PUNCT
ejpam-7172	145	1	case	case	NOUN
ejpam-7172	145	2	i-2	i-2	PROPN
ejpam-7172	145	3	:	:	PUNCT
ejpam-7172	145	4	if	if	SCONJ
ejpam-7172	145	5	ℏ1	ℏ1	X
ejpam-7172	145	6	<	<	X
ejpam-7172	145	7	0	0	NUM
ejpam-7172	145	8	,	,	PUNCT
ejpam-7172	145	9	and	and	CCONJ
ejpam-7172	145	10	ℏ2	ℏ2	NOUN
ejpam-7172	145	11	=	=	SYM
ejpam-7172	145	12	0	0	NUM
ejpam-7172	145	13	,	,	PUNCT
ejpam-7172	145	14	then	then	ADV
ejpam-7172	145	15	y1,3	y1,3	ADJ
ejpam-7172	145	16	=	=	PUNCT
ejpam-7172	145	17	±2	±2	NOUN
ejpam-7172	145	18	√	√	PUNCT
ejpam-7172	145	19	−pqℏ1	−pqℏ1	NOUN
ejpam-7172	145	20	(	(	PUNCT
ejpam-7172	145	21	ℏ1	ℏ1	PROPN
ejpam-7172	145	22	−	−	PROPN
ejpam-7172	145	23	k	k	NOUN
ejpam-7172	145	24	−	−	PROPN
ejpam-7172	145	25	3k2	3k2	NUM
ejpam-7172	146	1	+	+	CCONJ
ejpam-7172	146	2	3δ	3δ	NOUN
ejpam-7172	146	3	)	)	PUNCT
ejpam-7172	146	4	secpq(−	secpq(−	VERB
ejpam-7172	146	5	√	√	ADP
ejpam-7172	146	6	ℏ1ζ)eiθ+ρw−	ℏ1ζ)eiθ+ρw−	NOUN
ejpam-7172	146	7	1	1	NUM
ejpam-7172	146	8	2	2	NUM
ejpam-7172	146	9	ρ2	ρ2	NOUN
ejpam-7172	146	10	t	t	NOUN
ejpam-7172	146	11	,	,	PUNCT
ejpam-7172	146	12	(	(	PUNCT
ejpam-7172	146	13	33	33	NUM
ejpam-7172	146	14	)	)	PUNCT
ejpam-7172	146	15	z1,3	z1,3	NOUN
ejpam-7172	146	16	=	=	PUNCT
ejpam-7172	146	17	{	{	PUNCT
ejpam-7172	146	18	k2	k2	PROPN
ejpam-7172	146	19	−	−	PROPN
ejpam-7172	146	20	δ	δ	PROPN
ejpam-7172	146	21	−	−	PROPN
ejpam-7172	146	22	ℏ1	ℏ1	PROPN
ejpam-7172	146	23	+	+	CCONJ
ejpam-7172	146	24	2pqℏ1	2pqℏ1	NUM
ejpam-7172	146	25	sec2pq	sec2pq	NOUN
ejpam-7172	146	26	(	(	PUNCT
ejpam-7172	146	27	√	√	NUM
ejpam-7172	146	28	ℏ1ζ)}eρw−	ℏ1ζ)}eρw−	NOUN
ejpam-7172	146	29	1	1	NUM
ejpam-7172	146	30	2	2	NUM
ejpam-7172	146	31	ρ2	ρ2	NOUN
ejpam-7172	146	32	t	t	NOUN
ejpam-7172	146	33	,	,	PUNCT
ejpam-7172	146	34	(	(	PUNCT
ejpam-7172	146	35	34	34	NUM
ejpam-7172	146	36	)	)	PUNCT
ejpam-7172	146	37	and	and	CCONJ
ejpam-7172	146	38	y1,4	y1,4	ADV
ejpam-7172	146	39	=	=	SYM
ejpam-7172	146	40	±2	±2	PROPN
ejpam-7172	146	41	√	√	PUNCT
ejpam-7172	146	42	−pqℏ1	−pqℏ1	NOUN
ejpam-7172	147	1	(	(	PUNCT
ejpam-7172	147	2	ℏ1	ℏ1	PROPN
ejpam-7172	147	3	−	−	PROPN
ejpam-7172	147	4	k	k	NOUN
ejpam-7172	147	5	−	−	PROPN
ejpam-7172	147	6	3k2	3k2	NUM
ejpam-7172	148	1	+	+	CCONJ
ejpam-7172	148	2	3δ	3δ	NUM
ejpam-7172	148	3	)	)	PUNCT
ejpam-7172	148	4	cscpq(−	cscpq(−	NOUN
ejpam-7172	148	5	√	√	PUNCT
ejpam-7172	148	6	ℏ1ζ)eiθ+ρw−	ℏ1ζ)eiθ+ρw−	NOUN
ejpam-7172	148	7	1	1	NUM
ejpam-7172	148	8	2	2	NUM
ejpam-7172	148	9	ρ2	ρ2	NOUN
ejpam-7172	148	10	t	t	NOUN
ejpam-7172	148	11	,	,	PUNCT
ejpam-7172	148	12	(	(	PUNCT
ejpam-7172	148	13	35	35	NUM
ejpam-7172	148	14	)	)	PUNCT
ejpam-7172	148	15	z1,4	z1,4	ADV
ejpam-7172	149	1	=	=	SYM
ejpam-7172	149	2	{	{	PUNCT
ejpam-7172	149	3	k2	k2	PROPN
ejpam-7172	149	4	−	−	PROPN
ejpam-7172	149	5	δ	δ	PROPN
ejpam-7172	149	6	−	−	PROPN
ejpam-7172	149	7	ℏ1	ℏ1	ADJ
ejpam-7172	149	8	+	+	CCONJ
ejpam-7172	149	9	2pqℏ1	2pqℏ1	NUM
ejpam-7172	149	10	csc2pq	csc2pq	NOUN
ejpam-7172	149	11	(	(	PUNCT
ejpam-7172	149	12	√	√	NUM
ejpam-7172	149	13	ℏ1ζ)}eρw−	ℏ1ζ)}eρw−	NOUN
ejpam-7172	149	14	1	1	NUM
ejpam-7172	149	15	2	2	NUM
ejpam-7172	149	16	ρ2	ρ2	NOUN
ejpam-7172	149	17	t	t	NOUN
ejpam-7172	149	18	,	,	PUNCT
ejpam-7172	149	19	(	(	PUNCT
ejpam-7172	149	20	36	36	NUM
ejpam-7172	149	21	)	)	PUNCT
ejpam-7172	149	22	for	for	ADP
ejpam-7172	149	23	(	(	PUNCT
ejpam-7172	149	24	ℏ1	ℏ1	PROPN
ejpam-7172	149	25	−	−	PROPN
ejpam-7172	149	26	k	k	NOUN
ejpam-7172	149	27	−	−	PROPN
ejpam-7172	149	28	3k2	3k2	NUM
ejpam-7172	150	1	+	+	CCONJ
ejpam-7172	150	2	3δ	3δ	NUM
ejpam-7172	150	3	)	)	PUNCT
ejpam-7172	150	4	>	>	X
ejpam-7172	151	1	0	0	X
ejpam-7172	151	2	.	.	PUNCT
ejpam-7172	151	3	case	case	NOUN
ejpam-7172	151	4	i-3	i-3	VERB
ejpam-7172	151	5	:	:	PUNCT
ejpam-7172	151	6	if	if	SCONJ
ejpam-7172	151	7	ℏ1	ℏ1	X
ejpam-7172	151	8	<	<	X
ejpam-7172	151	9	0	0	NUM
ejpam-7172	151	10	,	,	PUNCT
ejpam-7172	151	11	and	and	CCONJ
ejpam-7172	151	12	ℏ2	ℏ2	NOUN
ejpam-7172	151	13	=	=	PUNCT
ejpam-7172	151	14	ℏ21	ℏ21	NOUN
ejpam-7172	151	15	4	4	NUM
ejpam-7172	151	16	,	,	PUNCT
ejpam-7172	151	17	then	then	ADV
ejpam-7172	151	18	y1,5	y1,5	PROPN
ejpam-7172	151	19	=	=	PUNCT
ejpam-7172	151	20	±	±	PROPN
ejpam-7172	151	21	√	√	PROPN
ejpam-7172	151	22	−2ℏ1	−2ℏ1	NUM
ejpam-7172	151	23	(	(	PUNCT
ejpam-7172	151	24	ℏ1	ℏ1	PROPN
ejpam-7172	151	25	−	−	PROPN
ejpam-7172	151	26	k	k	NOUN
ejpam-7172	152	1	−	−	PROPN
ejpam-7172	152	2	3k2	3k2	NUM
ejpam-7172	153	1	+	+	CCONJ
ejpam-7172	153	2	3δ	3δ	PROPN
ejpam-7172	153	3	)	)	PUNCT
ejpam-7172	153	4	tanhpq	tanhpq	PROPN
ejpam-7172	153	5	(	(	PUNCT
ejpam-7172	153	6	√	√	PROPN
ejpam-7172	153	7	−ℏ1	−ℏ1	PROPN
ejpam-7172	153	8	2	2	NUM
ejpam-7172	153	9	ζ)eiθ+ρw−	ζ)eiθ+ρw−	NOUN
ejpam-7172	153	10	1	1	NUM
ejpam-7172	153	11	2	2	NUM
ejpam-7172	153	12	ρ2	ρ2	NOUN
ejpam-7172	153	13	t	t	NOUN
ejpam-7172	153	14	,	,	PUNCT
ejpam-7172	153	15	(	(	PUNCT
ejpam-7172	153	16	37	37	NUM
ejpam-7172	153	17	)	)	PUNCT
ejpam-7172	153	18	z1,5	z1,5	PROPN
ejpam-7172	153	19	=	=	SYM
ejpam-7172	153	20	{	{	PUNCT
ejpam-7172	153	21	k2	k2	PROPN
ejpam-7172	153	22	−	−	PROPN
ejpam-7172	153	23	δ	δ	PROPN
ejpam-7172	153	24	−	−	PROPN
ejpam-7172	153	25	ℏ1	ℏ1	PROPN
ejpam-7172	153	26	+	+	CCONJ
ejpam-7172	153	27	ℏ1	ℏ1	ADJ
ejpam-7172	153	28	tanh2pq	tanh2pq	NOUN
ejpam-7172	153	29	(	(	PUNCT
ejpam-7172	153	30	√	√	NUM
ejpam-7172	153	31	−ℏ1	−ℏ1	PROPN
ejpam-7172	153	32	2	2	NUM
ejpam-7172	153	33	ζ)}eρw−	ζ)}eρw−	PROPN
ejpam-7172	153	34	1	1	NUM
ejpam-7172	153	35	2	2	NUM
ejpam-7172	153	36	ρ2	ρ2	NOUN
ejpam-7172	153	37	t	t	NOUN
ejpam-7172	153	38	,	,	PUNCT
ejpam-7172	153	39	(	(	PUNCT
ejpam-7172	153	40	38	38	NUM
ejpam-7172	153	41	)	)	PUNCT
ejpam-7172	153	42	y1,6	y1,6	PROPN
ejpam-7172	153	43	=	=	SYM
ejpam-7172	153	44	±	±	PROPN
ejpam-7172	153	45	√	√	PROPN
ejpam-7172	153	46	−2ℏ1	−2ℏ1	NUM
ejpam-7172	153	47	(	(	PUNCT
ejpam-7172	153	48	ℏ1	ℏ1	PROPN
ejpam-7172	153	49	−	−	PROPN
ejpam-7172	153	50	k	k	NOUN
ejpam-7172	153	51	−	−	PROPN
ejpam-7172	153	52	3k2	3k2	NUM
ejpam-7172	154	1	+	+	CCONJ
ejpam-7172	154	2	3δ	3δ	PROPN
ejpam-7172	154	3	)	)	PUNCT
ejpam-7172	154	4	cothpq	cothpq	PROPN
ejpam-7172	154	5	(	(	PUNCT
ejpam-7172	154	6	√	√	NUM
ejpam-7172	154	7	−ℏ1	−ℏ1	PROPN
ejpam-7172	154	8	2	2	NUM
ejpam-7172	154	9	ζ)eiθ+ρw−	ζ)eiθ+ρw−	NOUN
ejpam-7172	154	10	1	1	NUM
ejpam-7172	154	11	2	2	NUM
ejpam-7172	154	12	ρ2	ρ2	NOUN
ejpam-7172	154	13	t	t	NOUN
ejpam-7172	154	14	,	,	PUNCT
ejpam-7172	154	15	(	(	PUNCT
ejpam-7172	154	16	39	39	NUM
ejpam-7172	154	17	)	)	PUNCT
ejpam-7172	154	18	z1,6	z1,6	PROPN
ejpam-7172	154	19	=	=	SYM
ejpam-7172	154	20	{	{	PUNCT
ejpam-7172	154	21	k2	k2	PROPN
ejpam-7172	154	22	−	−	PROPN
ejpam-7172	154	23	δ	δ	PROPN
ejpam-7172	154	24	−	−	PROPN
ejpam-7172	154	25	ℏ1	ℏ1	PROPN
ejpam-7172	154	26	+	+	CCONJ
ejpam-7172	154	27	ℏ1	ℏ1	ADJ
ejpam-7172	154	28	coth2pq	coth2pq	NOUN
ejpam-7172	154	29	(	(	PUNCT
ejpam-7172	154	30	√	√	NUM
ejpam-7172	154	31	−ℏ1	−ℏ1	PROPN
ejpam-7172	154	32	2	2	NUM
ejpam-7172	154	33	ζ)}eρw−	ζ)}eρw−	PROPN
ejpam-7172	154	34	1	1	NUM
ejpam-7172	154	35	2	2	NUM
ejpam-7172	154	36	ρ2	ρ2	NOUN
ejpam-7172	154	37	t	t	NOUN
ejpam-7172	154	38	,	,	PUNCT
ejpam-7172	154	39	(	(	PUNCT
ejpam-7172	154	40	40	40	NUM
ejpam-7172	154	41	)	)	PUNCT
ejpam-7172	154	42	w.	w.	PROPN
ejpam-7172	154	43	w.	w.	PROPN
ejpam-7172	154	44	mohammed	mohammed	PROPN
ejpam-7172	154	45	et	et	PROPN
ejpam-7172	154	46	al	al	PROPN
ejpam-7172	154	47	.	.	PUNCT
ejpam-7172	154	48	/	/	SYM
ejpam-7172	154	49	eur	eur	PROPN
ejpam-7172	154	50	.	.	PUNCT
ejpam-7172	155	1	j.	j.	PROPN
ejpam-7172	155	2	pure	pure	PROPN
ejpam-7172	155	3	appl	appl	PROPN
ejpam-7172	155	4	.	.	PROPN
ejpam-7172	155	5	math	math	PROPN
ejpam-7172	155	6	,	,	PUNCT
ejpam-7172	155	7	18	18	NUM
ejpam-7172	155	8	(	(	PUNCT
ejpam-7172	155	9	4	4	NUM
ejpam-7172	155	10	)	)	PUNCT
ejpam-7172	155	11	(	(	PUNCT
ejpam-7172	155	12	2025	2025	NUM
ejpam-7172	155	13	)	)	PUNCT
ejpam-7172	155	14	,	,	PUNCT
ejpam-7172	155	15	7172	7172	NUM
ejpam-7172	155	16	8	8	NUM
ejpam-7172	155	17	of	of	ADP
ejpam-7172	155	18	22	22	NUM
ejpam-7172	155	19	y1,7	y1,7	PROPN
ejpam-7172	155	20	=	=	PUNCT
ejpam-7172	155	21	±	±	PROPN
ejpam-7172	155	22	√	√	PROPN
ejpam-7172	155	23	−2ℏ1	−2ℏ1	NUM
ejpam-7172	155	24	(	(	PUNCT
ejpam-7172	155	25	ℏ1	ℏ1	PROPN
ejpam-7172	155	26	−	−	PROPN
ejpam-7172	155	27	k	k	NOUN
ejpam-7172	155	28	−	−	PROPN
ejpam-7172	155	29	3k2	3k2	NUM
ejpam-7172	156	1	+	+	NUM
ejpam-7172	157	1	3δ)[cothpq	3δ)[cothpq	NUM
ejpam-7172	157	2	(	(	PUNCT
ejpam-7172	157	3	√	√	ADP
ejpam-7172	157	4	−2ℏ1ζ)±	−2ℏ1ζ)±	NOUN
ejpam-7172	157	5	√	√	NOUN
ejpam-7172	157	6	pqcschpq	pqcschpq	NOUN
ejpam-7172	157	7	(	(	PUNCT
ejpam-7172	157	8	√	√	NUM
ejpam-7172	157	9	−2ℏ1ζ)]eiθ+ρw−	−2ℏ1ζ)]eiθ+ρw−	NOUN
ejpam-7172	157	10	1	1	NUM
ejpam-7172	157	11	2	2	NUM
ejpam-7172	157	12	ρ2	ρ2	NOUN
ejpam-7172	157	13	t	t	NOUN
ejpam-7172	157	14	,	,	PUNCT
ejpam-7172	157	15	(	(	PUNCT
ejpam-7172	157	16	41	41	NUM
ejpam-7172	157	17	)	)	PUNCT
ejpam-7172	157	18	z1,7	z1,7	NOUN
ejpam-7172	157	19	=	=	PRON
ejpam-7172	157	20	{	{	PUNCT
ejpam-7172	157	21	k2	k2	PROPN
ejpam-7172	157	22	−	−	PROPN
ejpam-7172	157	23	δ	δ	PROPN
ejpam-7172	157	24	−	−	PROPN
ejpam-7172	157	25	ℏ1	ℏ1	PROPN
ejpam-7172	157	26	+	+	CCONJ
ejpam-7172	157	27	ℏ1[cothpq	ℏ1[cothpq	PROPN
ejpam-7172	157	28	(	(	PUNCT
ejpam-7172	157	29	√	√	NOUN
ejpam-7172	157	30	−2ℏ1ζ)±	−2ℏ1ζ)±	NOUN
ejpam-7172	157	31	√	√	NOUN
ejpam-7172	157	32	pqcschpq	pqcschpq	NOUN
ejpam-7172	157	33	(	(	PUNCT
ejpam-7172	157	34	√	√	PROPN
ejpam-7172	157	35	−2ℏ1ζ)]2}eρw−	−2ℏ1ζ)]2}eρw−	NUM
ejpam-7172	157	36	1	1	NUM
ejpam-7172	157	37	2	2	NUM
ejpam-7172	157	38	ρ2	ρ2	NOUN
ejpam-7172	157	39	t	t	NOUN
ejpam-7172	157	40	,	,	PUNCT
ejpam-7172	157	41	(	(	PUNCT
ejpam-7172	157	42	42	42	NUM
ejpam-7172	157	43	)	)	PUNCT
ejpam-7172	157	44	and	and	CCONJ
ejpam-7172	157	45	y1,8	y1,8	PROPN
ejpam-7172	157	46	=	=	PUNCT
ejpam-7172	157	47	±1	±1	VERB
ejpam-7172	157	48	2	2	NUM
ejpam-7172	157	49	√	√	PROPN
ejpam-7172	158	1	−ℏ1	−ℏ1	PROPN
ejpam-7172	158	2	(	(	PUNCT
ejpam-7172	158	3	ℏ1	ℏ1	PROPN
ejpam-7172	158	4	−	−	PROPN
ejpam-7172	158	5	k	k	NOUN
ejpam-7172	158	6	−	−	PROPN
ejpam-7172	158	7	3k2	3k2	NUM
ejpam-7172	159	1	+	+	NUM
ejpam-7172	159	2	3δ)[tanhpq	3δ)[tanhpq	PROPN
ejpam-7172	159	3	(	(	PUNCT
ejpam-7172	159	4	√	√	NUM
ejpam-7172	159	5	−ℏ1	−ℏ1	PROPN
ejpam-7172	159	6	8	8	NUM
ejpam-7172	159	7	ζ	ζ	NOUN
ejpam-7172	159	8	)	)	PUNCT
ejpam-7172	159	9	+	+	CCONJ
ejpam-7172	159	10	cothpq	cothpq	PROPN
ejpam-7172	159	11	(	(	PUNCT
ejpam-7172	159	12	√	√	NUM
ejpam-7172	159	13	−ℏ1	−ℏ1	PROPN
ejpam-7172	159	14	8	8	NUM
ejpam-7172	159	15	ζ)]eiθ+ρw−	ζ)]eiθ+ρw−	NOUN
ejpam-7172	159	16	1	1	NUM
ejpam-7172	159	17	2	2	NUM
ejpam-7172	159	18	ρ2	ρ2	NOUN
ejpam-7172	159	19	t	t	NOUN
ejpam-7172	159	20	,	,	PUNCT
ejpam-7172	159	21	(	(	PUNCT
ejpam-7172	159	22	43	43	NUM
ejpam-7172	159	23	)	)	PUNCT
ejpam-7172	160	1	z1,8	z1,8	NOUN
ejpam-7172	160	2	=	=	SYM
ejpam-7172	160	3	{	{	PUNCT
ejpam-7172	160	4	k2	k2	PROPN
ejpam-7172	160	5	−	−	PROPN
ejpam-7172	160	6	δ	δ	PROPN
ejpam-7172	160	7	−	−	PROPN
ejpam-7172	160	8	ℏ1	ℏ1	PROPN
ejpam-7172	160	9	+	+	CCONJ
ejpam-7172	160	10	1	1	NUM
ejpam-7172	160	11	4	4	NUM
ejpam-7172	160	12	ℏ1[tanhpq	ℏ1[tanhpq	PROPN
ejpam-7172	160	13	(	(	PUNCT
ejpam-7172	160	14	√	√	NUM
ejpam-7172	160	15	−ℏ1	−ℏ1	PROPN
ejpam-7172	160	16	8	8	NUM
ejpam-7172	160	17	ζ	ζ	NOUN
ejpam-7172	160	18	)	)	PUNCT
ejpam-7172	160	19	+	+	CCONJ
ejpam-7172	161	1	cothpq	cothpq	PROPN
ejpam-7172	161	2	(	(	PUNCT
ejpam-7172	161	3	√	√	NUM
ejpam-7172	161	4	−ℏ1	−ℏ1	PROPN
ejpam-7172	161	5	8	8	NUM
ejpam-7172	161	6	ζ)]2}eρw−	ζ)]2}eρw−	NOUN
ejpam-7172	161	7	1	1	NUM
ejpam-7172	161	8	2	2	NUM
ejpam-7172	161	9	ρ2	ρ2	NOUN
ejpam-7172	161	10	t	t	NOUN
ejpam-7172	161	11	,	,	PUNCT
ejpam-7172	161	12	(	(	PUNCT
ejpam-7172	161	13	44	44	NUM
ejpam-7172	161	14	)	)	PUNCT
ejpam-7172	161	15	for	for	ADP
ejpam-7172	161	16	(	(	PUNCT
ejpam-7172	161	17	ℏ1	ℏ1	PROPN
ejpam-7172	161	18	−	−	PROPN
ejpam-7172	161	19	k	k	NOUN
ejpam-7172	161	20	−	−	PROPN
ejpam-7172	161	21	3k2	3k2	NUM
ejpam-7172	162	1	+	+	CCONJ
ejpam-7172	162	2	3δ	3δ	NUM
ejpam-7172	162	3	)	)	PUNCT
ejpam-7172	162	4	>	>	X
ejpam-7172	163	1	0	0	X
ejpam-7172	163	2	.	.	PUNCT
ejpam-7172	163	3	case	case	NOUN
ejpam-7172	163	4	i-4	i-4	NOUN
ejpam-7172	163	5	:	:	PUNCT
ejpam-7172	163	6	if	if	SCONJ
ejpam-7172	163	7	ℏ1	ℏ1	X
ejpam-7172	163	8	>	>	X
ejpam-7172	163	9	0	0	NUM
ejpam-7172	163	10	,	,	PUNCT
ejpam-7172	163	11	and	and	CCONJ
ejpam-7172	163	12	ℏ2	ℏ2	NOUN
ejpam-7172	163	13	=	=	PUNCT
ejpam-7172	163	14	ℏ21	ℏ21	NOUN
ejpam-7172	163	15	4	4	NUM
ejpam-7172	163	16	,	,	PUNCT
ejpam-7172	163	17	then	then	ADV
ejpam-7172	163	18	y1,9	y1,9	PROPN
ejpam-7172	164	1	=	=	SYM
ejpam-7172	165	1	±	±	NUM
ejpam-7172	166	1	√	√	NOUN
ejpam-7172	166	2	2ℏ1	2ℏ1	NUM
ejpam-7172	166	3	(	(	PUNCT
ejpam-7172	166	4	ℏ1	ℏ1	PROPN
ejpam-7172	166	5	−	−	PROPN
ejpam-7172	166	6	k	k	NOUN
ejpam-7172	166	7	−	−	PROPN
ejpam-7172	166	8	3k2	3k2	NUM
ejpam-7172	167	1	+	+	CCONJ
ejpam-7172	167	2	3δ	3δ	NUM
ejpam-7172	167	3	)	)	PUNCT
ejpam-7172	167	4	tanpq	tanpq	NOUN
ejpam-7172	167	5	(	(	PUNCT
ejpam-7172	167	6	√	√	NUM
ejpam-7172	167	7	ℏ1	ℏ1	PROPN
ejpam-7172	167	8	2	2	NUM
ejpam-7172	167	9	ζ)eiθ+ρw−	ζ)eiθ+ρw−	NOUN
ejpam-7172	167	10	1	1	NUM
ejpam-7172	167	11	2	2	NUM
ejpam-7172	167	12	ρ2	ρ2	NOUN
ejpam-7172	167	13	t	t	NOUN
ejpam-7172	167	14	,	,	PUNCT
ejpam-7172	167	15	(	(	PUNCT
ejpam-7172	167	16	45	45	NUM
ejpam-7172	167	17	)	)	PUNCT
ejpam-7172	167	18	z1,9	z1,9	NOUN
ejpam-7172	167	19	=	=	SYM
ejpam-7172	167	20	{	{	PUNCT
ejpam-7172	167	21	k2	k2	PROPN
ejpam-7172	167	22	−	−	PROPN
ejpam-7172	167	23	δ	δ	PROPN
ejpam-7172	167	24	−	−	PROPN
ejpam-7172	167	25	ℏ1	ℏ1	PROPN
ejpam-7172	167	26	−	−	PROPN
ejpam-7172	167	27	ℏ1	ℏ1	ADJ
ejpam-7172	167	28	tan2pq	tan2pq	NOUN
ejpam-7172	167	29	(	(	PUNCT
ejpam-7172	167	30	√	√	ADP
ejpam-7172	167	31	ℏ1	ℏ1	PROPN
ejpam-7172	167	32	2	2	NUM
ejpam-7172	167	33	ζ)}eρw−	ζ)}eρw−	PROPN
ejpam-7172	167	34	1	1	NUM
ejpam-7172	167	35	2	2	NUM
ejpam-7172	167	36	ρ2	ρ2	NOUN
ejpam-7172	167	37	t	t	NOUN
ejpam-7172	167	38	,	,	PUNCT
ejpam-7172	167	39	(	(	PUNCT
ejpam-7172	167	40	46	46	NUM
ejpam-7172	167	41	)	)	PUNCT
ejpam-7172	167	42	y1,10	y1,10	NUM
ejpam-7172	167	43	=	=	SYM
ejpam-7172	167	44	±	±	NUM
ejpam-7172	167	45	√	√	NOUN
ejpam-7172	167	46	2ℏ1	2ℏ1	NUM
ejpam-7172	168	1	(	(	PUNCT
ejpam-7172	168	2	ℏ1	ℏ1	PROPN
ejpam-7172	168	3	−	−	PROPN
ejpam-7172	168	4	k	k	NOUN
ejpam-7172	168	5	−	−	PROPN
ejpam-7172	168	6	3k2	3k2	NUM
ejpam-7172	169	1	+	+	CCONJ
ejpam-7172	169	2	3δ	3δ	NUM
ejpam-7172	169	3	)	)	PUNCT
ejpam-7172	169	4	cotpq	cotpq	NOUN
ejpam-7172	169	5	(	(	PUNCT
ejpam-7172	169	6	√	√	PROPN
ejpam-7172	169	7	ℏ1	ℏ1	PROPN
ejpam-7172	169	8	2	2	NUM
ejpam-7172	169	9	ζ)eiθ+ρw−	ζ)eiθ+ρw−	NOUN
ejpam-7172	169	10	1	1	NUM
ejpam-7172	169	11	2	2	NUM
ejpam-7172	169	12	ρ2	ρ2	NOUN
ejpam-7172	169	13	t	t	NOUN
ejpam-7172	169	14	,	,	PUNCT
ejpam-7172	169	15	(	(	PUNCT
ejpam-7172	169	16	47	47	NUM
ejpam-7172	169	17	)	)	PUNCT
ejpam-7172	169	18	z1,10	z1,10	NOUN
ejpam-7172	169	19	=	=	SYM
ejpam-7172	169	20	{	{	PUNCT
ejpam-7172	169	21	k2	k2	PROPN
ejpam-7172	169	22	−	−	PROPN
ejpam-7172	169	23	δ	δ	PROPN
ejpam-7172	169	24	−	−	PROPN
ejpam-7172	169	25	ℏ1	ℏ1	PROPN
ejpam-7172	169	26	−	−	PROPN
ejpam-7172	169	27	ℏ1	ℏ1	ADJ
ejpam-7172	169	28	cot2pq	cot2pq	NOUN
ejpam-7172	169	29	(	(	PUNCT
ejpam-7172	169	30	√	√	ADP
ejpam-7172	169	31	ℏ1	ℏ1	ADJ
ejpam-7172	169	32	2	2	NUM
ejpam-7172	169	33	ζ)}eρw−	ζ)}eρw−	PROPN
ejpam-7172	169	34	1	1	NUM
ejpam-7172	169	35	2	2	NUM
ejpam-7172	169	36	ρ2	ρ2	NOUN
ejpam-7172	169	37	t	t	NOUN
ejpam-7172	169	38	,	,	PUNCT
ejpam-7172	169	39	(	(	PUNCT
ejpam-7172	169	40	48	48	NUM
ejpam-7172	169	41	)	)	PUNCT
ejpam-7172	169	42	y1,11	y1,11	NOUN
ejpam-7172	169	43	=	=	SYM
ejpam-7172	169	44	±	±	PROPN
ejpam-7172	169	45	√	√	NOUN
ejpam-7172	169	46	2ℏ1	2ℏ1	NUM
ejpam-7172	170	1	(	(	PUNCT
ejpam-7172	170	2	ℏ1	ℏ1	PROPN
ejpam-7172	170	3	−	−	PROPN
ejpam-7172	170	4	k	k	NOUN
ejpam-7172	170	5	−	−	PROPN
ejpam-7172	170	6	3k2	3k2	NUM
ejpam-7172	171	1	+	+	CCONJ
ejpam-7172	171	2	3δ)[tanpq	3δ)[tanpq	NUM
ejpam-7172	171	3	(	(	PUNCT
ejpam-7172	171	4	√	√	PROPN
ejpam-7172	171	5	2ℏ1ζ)±	2ℏ1ζ)±	NUM
ejpam-7172	171	6	√	√	PROPN
ejpam-7172	171	7	pq	pq	NUM
ejpam-7172	171	8	secpq	secpq	PROPN
ejpam-7172	171	9	(	(	PUNCT
ejpam-7172	171	10	√	√	PROPN
ejpam-7172	171	11	2ℏ1ζ)]eiθ+ρw−	2ℏ1ζ)]eiθ+ρw−	NUM
ejpam-7172	171	12	1	1	NUM
ejpam-7172	171	13	2	2	NUM
ejpam-7172	171	14	ρ2	ρ2	NOUN
ejpam-7172	171	15	t	t	NOUN
ejpam-7172	171	16	,	,	PUNCT
ejpam-7172	171	17	(	(	PUNCT
ejpam-7172	171	18	49	49	NUM
ejpam-7172	171	19	)	)	PUNCT
ejpam-7172	171	20	z1,11	z1,11	X
ejpam-7172	171	21	=	=	SYM
ejpam-7172	171	22	{	{	PUNCT
ejpam-7172	171	23	k2	k2	PROPN
ejpam-7172	171	24	−	−	PROPN
ejpam-7172	171	25	δ	δ	PROPN
ejpam-7172	171	26	−	−	PROPN
ejpam-7172	171	27	ℏ1	ℏ1	PROPN
ejpam-7172	171	28	−	−	PROPN
ejpam-7172	171	29	ℏ1[tanpq	ℏ1[tanpq	NOUN
ejpam-7172	171	30	(	(	PUNCT
ejpam-7172	171	31	√	√	PROPN
ejpam-7172	171	32	2ℏ1ζ)±	2ℏ1ζ)±	NUM
ejpam-7172	171	33	√	√	PROPN
ejpam-7172	171	34	pq	pq	NUM
ejpam-7172	171	35	secpq	secpq	PROPN
ejpam-7172	171	36	(	(	PUNCT
ejpam-7172	171	37	√	√	PROPN
ejpam-7172	171	38	2ℏ1ζ)]2}eρw−	2ℏ1ζ)]2}eρw−	NUM
ejpam-7172	171	39	1	1	NUM
ejpam-7172	171	40	2	2	NUM
ejpam-7172	171	41	ρ2	ρ2	NOUN
ejpam-7172	171	42	t	t	NOUN
ejpam-7172	171	43	,	,	PUNCT
ejpam-7172	171	44	(	(	PUNCT
ejpam-7172	171	45	50	50	NUM
ejpam-7172	171	46	)	)	PUNCT
ejpam-7172	171	47	y1,12	y1,12	NUM
ejpam-7172	171	48	=	=	SYM
ejpam-7172	171	49	±	±	NUM
ejpam-7172	171	50	√	√	NOUN
ejpam-7172	171	51	2ℏ1	2ℏ1	NUM
ejpam-7172	172	1	(	(	PUNCT
ejpam-7172	172	2	ℏ1	ℏ1	PROPN
ejpam-7172	172	3	−	−	PROPN
ejpam-7172	172	4	k	k	NOUN
ejpam-7172	172	5	−	−	PROPN
ejpam-7172	172	6	3k2	3k2	NUM
ejpam-7172	173	1	+	+	X
ejpam-7172	173	2	3δ)[cotpq	3δ)[cotpq	NUM
ejpam-7172	173	3	(	(	PUNCT
ejpam-7172	173	4	√	√	PROPN
ejpam-7172	173	5	2ℏ1ζ)±	2ℏ1ζ)±	NUM
ejpam-7172	173	6	√	√	PROPN
ejpam-7172	173	7	pq	pq	NUM
ejpam-7172	173	8	cscpq	cscpq	NOUN
ejpam-7172	173	9	(	(	PUNCT
ejpam-7172	173	10	√	√	PROPN
ejpam-7172	173	11	2ℏ1ζ)]eiθ+ρw−	2ℏ1ζ)]eiθ+ρw−	NUM
ejpam-7172	173	12	1	1	NUM
ejpam-7172	173	13	2	2	NUM
ejpam-7172	173	14	ρ2	ρ2	NOUN
ejpam-7172	173	15	t	t	NOUN
ejpam-7172	173	16	,	,	PUNCT
ejpam-7172	173	17	(	(	PUNCT
ejpam-7172	173	18	51	51	NUM
ejpam-7172	173	19	)	)	PUNCT
ejpam-7172	173	20	z1,12	z1,12	NOUN
ejpam-7172	173	21	=	=	SYM
ejpam-7172	173	22	{	{	PUNCT
ejpam-7172	173	23	k2	k2	PROPN
ejpam-7172	173	24	−	−	PROPN
ejpam-7172	173	25	δ	δ	PROPN
ejpam-7172	173	26	−	−	PROPN
ejpam-7172	173	27	ℏ1	ℏ1	PROPN
ejpam-7172	173	28	−	−	NOUN
ejpam-7172	173	29	ℏ1[cotpq	ℏ1[cotpq	PROPN
ejpam-7172	173	30	(	(	PUNCT
ejpam-7172	173	31	√	√	PROPN
ejpam-7172	173	32	2ℏ1ζ)±	2ℏ1ζ)±	NUM
ejpam-7172	173	33	√	√	PROPN
ejpam-7172	173	34	pq	pq	NUM
ejpam-7172	173	35	cscpq	cscpq	NOUN
ejpam-7172	173	36	(	(	PUNCT
ejpam-7172	173	37	√	√	PROPN
ejpam-7172	173	38	2ℏ1ζ)]2}eρw−	2ℏ1ζ)]2}eρw−	NUM
ejpam-7172	173	39	1	1	NUM
ejpam-7172	173	40	2	2	NUM
ejpam-7172	173	41	ρ2	ρ2	NOUN
ejpam-7172	173	42	t	t	NOUN
ejpam-7172	173	43	,	,	PUNCT
ejpam-7172	173	44	(	(	PUNCT
ejpam-7172	173	45	52	52	NUM
ejpam-7172	173	46	)	)	PUNCT
ejpam-7172	173	47	and	and	CCONJ
ejpam-7172	173	48	y1,13	y1,13	NOUN
ejpam-7172	173	49	=	=	SYM
ejpam-7172	173	50	±1	±1	VERB
ejpam-7172	173	51	2	2	NUM
ejpam-7172	173	52	√	√	PROPN
ejpam-7172	173	53	ℏ1	ℏ1	PROPN
ejpam-7172	173	54	(	(	PUNCT
ejpam-7172	173	55	ℏ1	ℏ1	PROPN
ejpam-7172	173	56	−	−	PROPN
ejpam-7172	173	57	k	k	NOUN
ejpam-7172	173	58	−	−	PROPN
ejpam-7172	173	59	3k2	3k2	NUM
ejpam-7172	174	1	+	+	CCONJ
ejpam-7172	174	2	3δ)[tanpq	3δ)[tanpq	NUM
ejpam-7172	174	3	(	(	PUNCT
ejpam-7172	174	4	√	√	ADP
ejpam-7172	174	5	ℏ1	ℏ1	PROPN
ejpam-7172	174	6	8	8	NUM
ejpam-7172	174	7	ζ	ζ	NOUN
ejpam-7172	174	8	)	)	PUNCT
ejpam-7172	174	9	+	+	NOUN
ejpam-7172	174	10	cotpq	cotpq	NOUN
ejpam-7172	174	11	(	(	PUNCT
ejpam-7172	174	12	√	√	NUM
ejpam-7172	174	13	ℏ1	ℏ1	PROPN
ejpam-7172	174	14	8	8	NUM
ejpam-7172	174	15	ζ)]eiθ+ρw−	ζ)]eiθ+ρw−	NOUN
ejpam-7172	174	16	1	1	NUM
ejpam-7172	174	17	2	2	NUM
ejpam-7172	174	18	ρ2	ρ2	NOUN
ejpam-7172	174	19	t	t	NOUN
ejpam-7172	174	20	,	,	PUNCT
ejpam-7172	174	21	(	(	PUNCT
ejpam-7172	174	22	53	53	NUM
ejpam-7172	174	23	)	)	PUNCT
ejpam-7172	174	24	z1,13	z1,13	NUM
ejpam-7172	174	25	=	=	SYM
ejpam-7172	174	26	{	{	PUNCT
ejpam-7172	174	27	k2	k2	PROPN
ejpam-7172	174	28	−	−	PROPN
ejpam-7172	174	29	δ	δ	PROPN
ejpam-7172	174	30	−	−	PROPN
ejpam-7172	174	31	ℏ1	ℏ1	PROPN
ejpam-7172	174	32	−	−	PROPN
ejpam-7172	174	33	ℏ1	ℏ1	PROPN
ejpam-7172	174	34	4	4	NUM
ejpam-7172	174	35	[	[	X
ejpam-7172	174	36	tanpq	tanpq	NOUN
ejpam-7172	174	37	(	(	PUNCT
ejpam-7172	174	38	√	√	NUM
ejpam-7172	174	39	ℏ1	ℏ1	PROPN
ejpam-7172	174	40	8	8	NUM
ejpam-7172	174	41	ζ	ζ	NOUN
ejpam-7172	174	42	)	)	PUNCT
ejpam-7172	174	43	+	+	NOUN
ejpam-7172	174	44	cotpq	cotpq	NOUN
ejpam-7172	174	45	(	(	PUNCT
ejpam-7172	174	46	√	√	PROPN
ejpam-7172	174	47	ℏ1	ℏ1	ADJ
ejpam-7172	174	48	8	8	NUM
ejpam-7172	174	49	ζ)]2}eρw−	ζ)]2}eρw−	NOUN
ejpam-7172	174	50	1	1	NUM
ejpam-7172	174	51	2	2	NUM
ejpam-7172	174	52	ρ2	ρ2	NOUN
ejpam-7172	174	53	t	t	NOUN
ejpam-7172	174	54	,	,	PUNCT
ejpam-7172	174	55	(	(	PUNCT
ejpam-7172	174	56	54	54	NUM
ejpam-7172	174	57	)	)	PUNCT
ejpam-7172	174	58	for	for	ADP
ejpam-7172	174	59	(	(	PUNCT
ejpam-7172	174	60	ℏ1	ℏ1	PROPN
ejpam-7172	174	61	−	−	PROPN
ejpam-7172	174	62	k	k	NOUN
ejpam-7172	174	63	−	−	PROPN
ejpam-7172	174	64	3k2	3k2	NUM
ejpam-7172	175	1	+	+	CCONJ
ejpam-7172	175	2	3δ	3δ	NUM
ejpam-7172	175	3	)	)	PUNCT
ejpam-7172	175	4	>	>	X
ejpam-7172	175	5	0	0	X
ejpam-7172	175	6	.	.	PUNCT
ejpam-7172	175	7	remark	remark	PROPN
ejpam-7172	175	8	1	1	NUM
ejpam-7172	175	9	.	.	PUNCT
ejpam-7172	176	1	putting	put	VERB
ejpam-7172	176	2	p	p	NOUN
ejpam-7172	176	3	=	=	NOUN
ejpam-7172	176	4	q	q	NOUN
ejpam-7172	176	5	=	=	SYM
ejpam-7172	176	6	1	1	NUM
ejpam-7172	176	7	,	,	PUNCT
ejpam-7172	176	8	ρ	ρ	PROPN
ejpam-7172	176	9	=	=	SYM
ejpam-7172	176	10	0	0	NUM
ejpam-7172	176	11	and	and	CCONJ
ejpam-7172	176	12	α	α	NOUN
ejpam-7172	176	13	=	=	NOUN
ejpam-7172	176	14	1	1	NUM
ejpam-7172	176	15	from	from	ADP
ejpam-7172	176	16	(	(	PUNCT
ejpam-7172	176	17	29	29	NUM
ejpam-7172	176	18	)	)	PUNCT
ejpam-7172	176	19	to	to	ADP
ejpam-7172	176	20	(	(	PUNCT
ejpam-7172	176	21	54	54	NUM
ejpam-7172	176	22	)	)	PUNCT
ejpam-7172	176	23	yields	yield	VERB
ejpam-7172	176	24	the	the	DET
ejpam-7172	176	25	identical	identical	ADJ
ejpam-7172	176	26	results	result	NOUN
ejpam-7172	176	27	as	as	ADP
ejpam-7172	176	28	those	those	PRON
ejpam-7172	176	29	expressed	express	VERB
ejpam-7172	176	30	in	in	ADP
ejpam-7172	176	31	[	[	X
ejpam-7172	176	32	16	16	NUM
ejpam-7172	176	33	]	]	PUNCT
ejpam-7172	176	34	.	.	PUNCT
ejpam-7172	177	1	w.	w.	PROPN
ejpam-7172	177	2	w.	w.	PROPN
ejpam-7172	177	3	mohammed	mohammed	PROPN
ejpam-7172	177	4	et	et	PROPN
ejpam-7172	177	5	al	al	PROPN
ejpam-7172	177	6	.	.	PUNCT
ejpam-7172	177	7	/	/	SYM
ejpam-7172	177	8	eur	eur	PROPN
ejpam-7172	177	9	.	.	PUNCT
ejpam-7172	178	1	j.	j.	PROPN
ejpam-7172	178	2	pure	pure	PROPN
ejpam-7172	178	3	appl	appl	PROPN
ejpam-7172	178	4	.	.	PROPN
ejpam-7172	178	5	math	math	PROPN
ejpam-7172	178	6	,	,	PUNCT
ejpam-7172	178	7	18	18	NUM
ejpam-7172	178	8	(	(	PUNCT
ejpam-7172	178	9	4	4	NUM
ejpam-7172	178	10	)	)	PUNCT
ejpam-7172	178	11	(	(	PUNCT
ejpam-7172	178	12	2025	2025	NUM
ejpam-7172	178	13	)	)	PUNCT
ejpam-7172	178	14	,	,	PUNCT
ejpam-7172	178	15	7172	7172	NUM
ejpam-7172	178	16	9	9	NUM
ejpam-7172	178	17	of	of	ADP
ejpam-7172	178	18	22	22	NUM
ejpam-7172	178	19	set	set	VERB
ejpam-7172	178	20	ii	ii	PROPN
ejpam-7172	178	21	:	:	PUNCT
ejpam-7172	178	22	putting	put	VERB
ejpam-7172	178	23	(	(	PUNCT
ejpam-7172	178	24	26	26	NUM
ejpam-7172	178	25	)	)	PUNCT
ejpam-7172	178	26	into	into	ADP
ejpam-7172	178	27	eq	eq	NOUN
ejpam-7172	178	28	.	.	PUNCT
ejpam-7172	179	1	(	(	PUNCT
ejpam-7172	179	2	24	24	NUM
ejpam-7172	179	3	)	)	PUNCT
ejpam-7172	179	4	,	,	PUNCT
ejpam-7172	179	5	we	we	PRON
ejpam-7172	179	6	get	get	VERB
ejpam-7172	179	7	the	the	DET
ejpam-7172	179	8	following	follow	VERB
ejpam-7172	179	9	solution	solution	NOUN
ejpam-7172	179	10	for	for	ADP
ejpam-7172	179	11	the	the	DET
ejpam-7172	179	12	traveling	travel	VERB
ejpam-7172	179	13	wave	wave	NOUN
ejpam-7172	179	14	eq	eq	ADP
ejpam-7172	179	15	.	.	PUNCT
ejpam-7172	180	1	(	(	PUNCT
ejpam-7172	180	2	8)	8)	NUM
ejpam-7172	180	3	:	:	PUNCT
ejpam-7172	180	4	u	u	PROPN
ejpam-7172	180	5	(	(	PUNCT
ejpam-7172	180	6	η	η	PROPN
ejpam-7172	180	7	)	)	PUNCT
ejpam-7172	180	8	=	=	SYM
ejpam-7172	180	9	2	2	NUM
ejpam-7172	180	10	√	√	NUM
ejpam-7172	180	11	2	2	NUM
ejpam-7172	180	12	(	(	PUNCT
ejpam-7172	180	13	10ℏ1	10ℏ1	NUM
ejpam-7172	180	14	−	−	NOUN
ejpam-7172	180	15	√	√	PROPN
ejpam-7172	180	16	ℏ1	ℏ1	PROPN
ejpam-7172	180	17	−	−	PROPN
ejpam-7172	180	18	3ℏ2	3ℏ2	NUM
ejpam-7172	180	19	)	)	PUNCT
ejpam-7172	181	1	+	+	CCONJ
ejpam-7172	181	2	6	6	NUM
ejpam-7172	181	3	√	√	NOUN
ejpam-7172	181	4	2m2	2m2	NUM
ejpam-7172	181	5	(	(	PUNCT
ejpam-7172	181	6	η	η	NOUN
ejpam-7172	181	7	)	)	PUNCT
ejpam-7172	181	8	,	,	PUNCT
ejpam-7172	181	9	(	(	PUNCT
ejpam-7172	181	10	55	55	NUM
ejpam-7172	181	11	)	)	PUNCT
ejpam-7172	181	12	v	v	NOUN
ejpam-7172	181	13	(	(	PUNCT
ejpam-7172	181	14	η	η	NOUN
ejpam-7172	181	15	)	)	PUNCT
ejpam-7172	181	16	=	=	PUNCT
ejpam-7172	182	1	−(2ℏ1	−(2ℏ1	NOUN
ejpam-7172	183	1	+	+	CCONJ
ejpam-7172	183	2	1	1	NUM
ejpam-7172	183	3	3	3	NUM
ejpam-7172	183	4	k	k	NOUN
ejpam-7172	183	5	+	+	CCONJ
ejpam-7172	183	6	4	4	NUM
ejpam-7172	183	7	3	3	NUM
ejpam-7172	183	8	√	√	PROPN
ejpam-7172	183	9	ℏ1	ℏ1	PROPN
ejpam-7172	183	10	−	−	PROPN
ejpam-7172	183	11	3ℏ2)−	3ℏ2)−	NOUN
ejpam-7172	183	12	6m2	6m2	NUM
ejpam-7172	183	13	(	(	PUNCT
ejpam-7172	183	14	η	η	NOUN
ejpam-7172	183	15	)	)	PUNCT
ejpam-7172	183	16	.	.	PUNCT
ejpam-7172	184	1	consequently	consequently	ADV
ejpam-7172	184	2	,	,	PUNCT
ejpam-7172	184	3	setting	set	VERB
ejpam-7172	184	4	eq	eq	ADP
ejpam-7172	184	5	.	.	PUNCT
ejpam-7172	185	1	(	(	PUNCT
ejpam-7172	185	2	55	55	NUM
ejpam-7172	185	3	)	)	PUNCT
ejpam-7172	185	4	into	into	ADP
ejpam-7172	185	5	eq	eq	NOUN
ejpam-7172	185	6	.	.	PUNCT
ejpam-7172	186	1	(	(	PUNCT
ejpam-7172	186	2	2	2	NUM
ejpam-7172	186	3	)	)	PUNCT
ejpam-7172	186	4	,	,	PUNCT
ejpam-7172	186	5	we	we	PRON
ejpam-7172	186	6	obtain	obtain	VERB
ejpam-7172	186	7	the	the	DET
ejpam-7172	186	8	solutions	solution	NOUN
ejpam-7172	186	9	of	of	ADP
ejpam-7172	186	10	the	the	DET
ejpam-7172	186	11	scs	scs	NOUN
ejpam-7172	186	12	-	-	PUNCT
ejpam-7172	186	13	kdvescdo	kdvescdo	NOUN
ejpam-7172	186	14	(	(	PUNCT
ejpam-7172	186	15	1	1	NUM
ejpam-7172	186	16	)	)	PUNCT
ejpam-7172	186	17	for	for	ADP
ejpam-7172	186	18	ℏ1	ℏ1	PROPN
ejpam-7172	186	19	≥	≥	NUM
ejpam-7172	186	20	3ℏ2	3ℏ2	NUM
ejpam-7172	186	21	as	as	SCONJ
ejpam-7172	186	22	follows	follow	VERB
ejpam-7172	186	23	:	:	PUNCT
ejpam-7172	187	1	y	y	PROPN
ejpam-7172	187	2	=	=	PUNCT
ejpam-7172	188	1	[	[	X
ejpam-7172	188	2	2	2	NUM
ejpam-7172	188	3	√	√	NUM
ejpam-7172	188	4	2	2	NUM
ejpam-7172	188	5	(	(	PUNCT
ejpam-7172	188	6	10ℏ1	10ℏ1	NUM
ejpam-7172	188	7	−	−	NOUN
ejpam-7172	188	8	√	√	PROPN
ejpam-7172	188	9	ℏ1	ℏ1	PROPN
ejpam-7172	188	10	−	−	PROPN
ejpam-7172	188	11	3ℏ2	3ℏ2	NUM
ejpam-7172	188	12	)	)	PUNCT
ejpam-7172	189	1	+	+	CCONJ
ejpam-7172	189	2	6	6	NUM
ejpam-7172	189	3	√	√	NUM
ejpam-7172	189	4	2m2	2m2	NUM
ejpam-7172	189	5	(	(	PUNCT
ejpam-7172	189	6	η)]eiθ+ρb−	η)]eiθ+ρb−	NOUN
ejpam-7172	189	7	1	1	NUM
ejpam-7172	189	8	2	2	NUM
ejpam-7172	189	9	ρ2	ρ2	NOUN
ejpam-7172	189	10	t	t	NOUN
ejpam-7172	189	11	,	,	PUNCT
ejpam-7172	189	12	(	(	PUNCT
ejpam-7172	189	13	56	56	NUM
ejpam-7172	189	14	)	)	PUNCT
ejpam-7172	189	15	z	z	NOUN
ejpam-7172	189	16	=	=	PUNCT
ejpam-7172	190	1	−[2ℏ1	−[2ℏ1	NOUN
ejpam-7172	190	2	+	+	CCONJ
ejpam-7172	190	3	1	1	NUM
ejpam-7172	190	4	3	3	NUM
ejpam-7172	190	5	k	k	NOUN
ejpam-7172	190	6	+	+	CCONJ
ejpam-7172	190	7	4	4	NUM
ejpam-7172	190	8	3	3	NUM
ejpam-7172	190	9	√	√	PROPN
ejpam-7172	190	10	ℏ1	ℏ1	PROPN
ejpam-7172	190	11	−	−	PROPN
ejpam-7172	190	12	3ℏ2	3ℏ2	NUM
ejpam-7172	191	1	+	+	CCONJ
ejpam-7172	191	2	6m2	6m2	NUM
ejpam-7172	191	3	(	(	PUNCT
ejpam-7172	191	4	η)]eρb−	η)]eρb−	NOUN
ejpam-7172	191	5	1	1	NUM
ejpam-7172	191	6	2	2	NUM
ejpam-7172	191	7	ρ2	ρ2	NOUN
ejpam-7172	191	8	t	t	NOUN
ejpam-7172	191	9	,	,	PUNCT
ejpam-7172	192	1	where	where	SCONJ
ejpam-7172	192	2	η	η	PROPN
ejpam-7172	192	3	=	=	PROPN
ejpam-7172	192	4	1	1	NUM
ejpam-7172	192	5	αx	αx	NOUN
ejpam-7172	192	6	α	α	NOUN
ejpam-7172	192	7	+	+	CCONJ
ejpam-7172	192	8	2kt	2kt	ADJ
ejpam-7172	192	9	and	and	CCONJ
ejpam-7172	192	10	θ	θ	PROPN
ejpam-7172	192	11	=	=	SYM
ejpam-7172	193	1	k	k	PROPN
ejpam-7172	193	2	αx	αx	ADV
ejpam-7172	193	3	α	α	NOUN
ejpam-7172	193	4	+	+	X
ejpam-7172	193	5	δt	δt	PROPN
ejpam-7172	193	6	.	.	PUNCT
ejpam-7172	194	1	now	now	ADV
ejpam-7172	194	2	,	,	PUNCT
ejpam-7172	194	3	substituting	substitute	VERB
ejpam-7172	194	4	from	from	ADP
ejpam-7172	194	5	eqs	eqs	X
ejpam-7172	194	6	(	(	PUNCT
ejpam-7172	194	7	11	11	NUM
ejpam-7172	194	8	)	)	PUNCT
ejpam-7172	194	9	to	to	ADP
ejpam-7172	194	10	(	(	PUNCT
ejpam-7172	194	11	23	23	NUM
ejpam-7172	194	12	)	)	PUNCT
ejpam-7172	194	13	into	into	ADP
ejpam-7172	194	14	eq	eq	NOUN
ejpam-7172	194	15	.	.	PUNCT
ejpam-7172	195	1	(	(	PUNCT
ejpam-7172	195	2	56	56	NUM
ejpam-7172	195	3	)	)	PUNCT
ejpam-7172	195	4	,	,	PUNCT
ejpam-7172	195	5	we	we	PRON
ejpam-7172	195	6	have	have	VERB
ejpam-7172	195	7	the	the	DET
ejpam-7172	195	8	next	next	ADJ
ejpam-7172	195	9	solutions	solution	NOUN
ejpam-7172	195	10	of	of	ADP
ejpam-7172	195	11	the	the	DET
ejpam-7172	195	12	scs	scs	PROPN
ejpam-7172	195	13	-	-	PUNCT
ejpam-7172	195	14	kdves	kdve	NOUN
ejpam-7172	195	15	-	-	PUNCT
ejpam-7172	195	16	cdo	cdo	NOUN
ejpam-7172	195	17	(	(	PUNCT
ejpam-7172	195	18	1	1	NUM
ejpam-7172	195	19	):	):	PUNCT
ejpam-7172	195	20	case	case	NOUN
ejpam-7172	195	21	ii-1	ii-1	NOUN
ejpam-7172	195	22	:	:	PUNCT
ejpam-7172	195	23	if	if	SCONJ
ejpam-7172	195	24	ℏ1	ℏ1	X
ejpam-7172	195	25	>	>	X
ejpam-7172	195	26	0	0	NUM
ejpam-7172	195	27	,	,	PUNCT
ejpam-7172	195	28	and	and	CCONJ
ejpam-7172	195	29	ℏ2	ℏ2	NOUN
ejpam-7172	195	30	=	=	SYM
ejpam-7172	195	31	0	0	NUM
ejpam-7172	195	32	,	,	PUNCT
ejpam-7172	195	33	then	then	ADV
ejpam-7172	195	34	y2,1	y2,1	PROPN
ejpam-7172	195	35	=	=	PUNCT
ejpam-7172	196	1	[	[	X
ejpam-7172	196	2	18	18	NUM
ejpam-7172	196	3	√	√	NUM
ejpam-7172	196	4	2ℏ1	2ℏ1	NUM
ejpam-7172	197	1	+	+	CCONJ
ejpam-7172	198	1	6	6	NUM
ejpam-7172	198	2	√	√	NUM
ejpam-7172	198	3	2sech2	2sech2	NUM
ejpam-7172	198	4	pq	pq	NOUN
ejpam-7172	198	5	(	(	PUNCT
ejpam-7172	198	6	√	√	NUM
ejpam-7172	198	7	ℏ1ζ)]eiθ+ρw−	ℏ1ζ)]eiθ+ρw−	VERB
ejpam-7172	198	8	1	1	NUM
ejpam-7172	198	9	2	2	NUM
ejpam-7172	198	10	ρ2	ρ2	NOUN
ejpam-7172	198	11	t	t	NOUN
ejpam-7172	198	12	,	,	PUNCT
ejpam-7172	198	13	(	(	PUNCT
ejpam-7172	198	14	57	57	NUM
ejpam-7172	198	15	)	)	PUNCT
ejpam-7172	198	16	z2,1	z2,1	PROPN
ejpam-7172	198	17	=	=	SYM
ejpam-7172	199	1	−	−	PROPN
ejpam-7172	199	2	[	[	PUNCT
ejpam-7172	199	3	10	10	NUM
ejpam-7172	199	4	3	3	NUM
ejpam-7172	199	5	ℏ1	ℏ1	ADJ
ejpam-7172	199	6	+	+	CCONJ
ejpam-7172	199	7	1	1	NUM
ejpam-7172	199	8	3	3	NUM
ejpam-7172	200	1	k	k	NOUN
ejpam-7172	200	2	+	+	CCONJ
ejpam-7172	200	3	6sech2	6sech2	NUM
ejpam-7172	200	4	pq	pq	NOUN
ejpam-7172	200	5	(	(	PUNCT
ejpam-7172	200	6	√	√	NOUN
ejpam-7172	200	7	ℏ1ζ)]eρw−	ℏ1ζ)]eρw−	SYM
ejpam-7172	200	8	1	1	NUM
ejpam-7172	200	9	2	2	NUM
ejpam-7172	200	10	ρ2	ρ2	NOUN
ejpam-7172	200	11	t	t	NOUN
ejpam-7172	200	12	,	,	PUNCT
ejpam-7172	200	13	(	(	PUNCT
ejpam-7172	200	14	58	58	NUM
ejpam-7172	200	15	)	)	PUNCT
ejpam-7172	200	16	and	and	CCONJ
ejpam-7172	200	17	y2,2	y2,2	PROPN
ejpam-7172	200	18	=	=	PUNCT
ejpam-7172	201	1	[	[	X
ejpam-7172	201	2	18	18	NUM
ejpam-7172	201	3	√	√	NUM
ejpam-7172	201	4	2ℏ1	2ℏ1	NUM
ejpam-7172	202	1	+	+	CCONJ
ejpam-7172	202	2	6	6	NUM
ejpam-7172	202	3	√	√	NUM
ejpam-7172	202	4	2csch2	2csch2	NUM
ejpam-7172	202	5	pq	pq	NOUN
ejpam-7172	202	6	(	(	PUNCT
ejpam-7172	202	7	√	√	NUM
ejpam-7172	202	8	ℏ1ζ)]eiθ+ρw−	ℏ1ζ)]eiθ+ρw−	VERB
ejpam-7172	202	9	1	1	NUM
ejpam-7172	202	10	2	2	NUM
ejpam-7172	202	11	ρ2	ρ2	NOUN
ejpam-7172	202	12	t	t	NOUN
ejpam-7172	202	13	,	,	PUNCT
ejpam-7172	202	14	(	(	PUNCT
ejpam-7172	202	15	59	59	NUM
ejpam-7172	202	16	)	)	PUNCT
ejpam-7172	202	17	z2,2	z2,2	PROPN
ejpam-7172	202	18	=	=	PUNCT
ejpam-7172	203	1	−	−	PROPN
ejpam-7172	203	2	[	[	PUNCT
ejpam-7172	203	3	10	10	NUM
ejpam-7172	203	4	3	3	NUM
ejpam-7172	203	5	ℏ1	ℏ1	ADJ
ejpam-7172	203	6	+	+	CCONJ
ejpam-7172	203	7	1	1	NUM
ejpam-7172	203	8	3	3	NUM
ejpam-7172	203	9	k	k	NOUN
ejpam-7172	203	10	+	+	CCONJ
ejpam-7172	203	11	6csch2	6csch2	NUM
ejpam-7172	203	12	pq	pq	NOUN
ejpam-7172	203	13	(	(	PUNCT
ejpam-7172	203	14	√	√	NOUN
ejpam-7172	203	15	ℏ1ζ)]eρw−	ℏ1ζ)]eρw−	SYM
ejpam-7172	203	16	1	1	NUM
ejpam-7172	203	17	2	2	NUM
ejpam-7172	203	18	ρ2	ρ2	NOUN
ejpam-7172	203	19	t.	t.	NOUN
ejpam-7172	203	20	(	(	PUNCT
ejpam-7172	203	21	60	60	NUM
ejpam-7172	203	22	)	)	PUNCT
ejpam-7172	203	23	case	case	NOUN
ejpam-7172	203	24	ii-2	ii-2	VERB
ejpam-7172	203	25	:	:	PUNCT
ejpam-7172	203	26	if	if	SCONJ
ejpam-7172	203	27	ℏ1	ℏ1	X
ejpam-7172	203	28	<	<	X
ejpam-7172	203	29	0	0	NUM
ejpam-7172	203	30	,	,	PUNCT
ejpam-7172	203	31	and	and	CCONJ
ejpam-7172	203	32	ℏ2	ℏ2	NOUN
ejpam-7172	203	33	=	=	SYM
ejpam-7172	203	34	0	0	NUM
ejpam-7172	203	35	,	,	PUNCT
ejpam-7172	203	36	then	then	ADV
ejpam-7172	203	37	y2,3	y2,3	INTJ
ejpam-7172	203	38	=	=	PUNCT
ejpam-7172	204	1	[	[	X
ejpam-7172	204	2	22	22	NUM
ejpam-7172	204	3	√	√	NUM
ejpam-7172	204	4	2ℏ1	2ℏ1	NUM
ejpam-7172	205	1	+	+	CCONJ
ejpam-7172	205	2	6	6	NUM
ejpam-7172	205	3	√	√	NUM
ejpam-7172	205	4	2	2	NUM
ejpam-7172	205	5	sec2pq	sec2pq	NOUN
ejpam-7172	205	6	(	(	PUNCT
ejpam-7172	205	7	√	√	PROPN
ejpam-7172	205	8	−ℏ1ζ)]eiθ+ρw−	−ℏ1ζ)]eiθ+ρw−	NUM
ejpam-7172	205	9	1	1	NUM
ejpam-7172	205	10	2	2	NUM
ejpam-7172	205	11	ρ2	ρ2	NOUN
ejpam-7172	205	12	t	t	NOUN
ejpam-7172	205	13	,	,	PUNCT
ejpam-7172	205	14	(	(	PUNCT
ejpam-7172	205	15	61	61	NUM
ejpam-7172	205	16	)	)	PUNCT
ejpam-7172	206	1	z2,3	z2,3	NOUN
ejpam-7172	206	2	=	=	PUNCT
ejpam-7172	207	1	−	−	PROPN
ejpam-7172	207	2	[	[	PUNCT
ejpam-7172	207	3	2	2	NUM
ejpam-7172	207	4	3	3	NUM
ejpam-7172	207	5	ℏ1	ℏ1	NOUN
ejpam-7172	207	6	+	+	CCONJ
ejpam-7172	207	7	1	1	NUM
ejpam-7172	207	8	3	3	NUM
ejpam-7172	207	9	k	k	NOUN
ejpam-7172	207	10	+	+	CCONJ
ejpam-7172	207	11	6	6	NUM
ejpam-7172	207	12	sec2pq	sec2pq	NOUN
ejpam-7172	207	13	(	(	PUNCT
ejpam-7172	207	14	√	√	PROPN
ejpam-7172	207	15	−ℏ1ζ)]eρw−	−ℏ1ζ)]eρw−	NUM
ejpam-7172	207	16	1	1	NUM
ejpam-7172	207	17	2	2	NUM
ejpam-7172	207	18	ρ2	ρ2	NOUN
ejpam-7172	207	19	t	t	NOUN
ejpam-7172	207	20	,	,	PUNCT
ejpam-7172	207	21	(	(	PUNCT
ejpam-7172	207	22	62	62	NUM
ejpam-7172	207	23	)	)	PUNCT
ejpam-7172	207	24	and	and	CCONJ
ejpam-7172	207	25	y2,4	y2,4	PROPN
ejpam-7172	207	26	=	=	PUNCT
ejpam-7172	208	1	[	[	X
ejpam-7172	208	2	22	22	NUM
ejpam-7172	208	3	√	√	NUM
ejpam-7172	208	4	2ℏ1	2ℏ1	NUM
ejpam-7172	209	1	+	+	CCONJ
ejpam-7172	209	2	6	6	NUM
ejpam-7172	209	3	√	√	NUM
ejpam-7172	209	4	2	2	NUM
ejpam-7172	209	5	csc2pq	csc2pq	NOUN
ejpam-7172	209	6	(	(	PUNCT
ejpam-7172	209	7	√	√	PROPN
ejpam-7172	209	8	−ℏ1ζ)]eiθ+ρw−	−ℏ1ζ)]eiθ+ρw−	NUM
ejpam-7172	209	9	1	1	NUM
ejpam-7172	209	10	2	2	NUM
ejpam-7172	209	11	ρ2	ρ2	NOUN
ejpam-7172	209	12	t	t	NOUN
ejpam-7172	209	13	,	,	PUNCT
ejpam-7172	209	14	(	(	PUNCT
ejpam-7172	209	15	63	63	NUM
ejpam-7172	209	16	)	)	PUNCT
ejpam-7172	209	17	z2,4	z2,4	PROPN
ejpam-7172	209	18	=	=	SYM
ejpam-7172	209	19	−	−	PROPN
ejpam-7172	209	20	[	[	PUNCT
ejpam-7172	209	21	2	2	NUM
ejpam-7172	209	22	3	3	NUM
ejpam-7172	209	23	ℏ1	ℏ1	NOUN
ejpam-7172	209	24	+	+	CCONJ
ejpam-7172	209	25	1	1	NUM
ejpam-7172	209	26	3	3	NUM
ejpam-7172	209	27	k	k	NOUN
ejpam-7172	209	28	+	+	PROPN
ejpam-7172	209	29	6	6	NUM
ejpam-7172	209	30	csc2pq	csc2pq	NOUN
ejpam-7172	209	31	(	(	PUNCT
ejpam-7172	209	32	√	√	PROPN
ejpam-7172	209	33	−ℏ1ζ)]eρw−	−ℏ1ζ)]eρw−	NUM
ejpam-7172	209	34	1	1	NUM
ejpam-7172	209	35	2	2	NUM
ejpam-7172	209	36	ρ2	ρ2	NOUN
ejpam-7172	209	37	t.	t.	NOUN
ejpam-7172	209	38	(	(	PUNCT
ejpam-7172	209	39	64	64	NUM
ejpam-7172	209	40	)	)	PUNCT
ejpam-7172	209	41	case	case	NOUN
ejpam-7172	209	42	ii-3	ii-3	X
ejpam-7172	209	43	:	:	PUNCT
ejpam-7172	209	44	if	if	SCONJ
ejpam-7172	209	45	ℏ1	ℏ1	X
ejpam-7172	209	46	<	<	X
ejpam-7172	209	47	0	0	NUM
ejpam-7172	209	48	,	,	PUNCT
ejpam-7172	209	49	and	and	CCONJ
ejpam-7172	209	50	ℏ2	ℏ2	NOUN
ejpam-7172	209	51	=	=	PUNCT
ejpam-7172	209	52	ℏ21	ℏ21	NOUN
ejpam-7172	209	53	4	4	NUM
ejpam-7172	209	54	,	,	PUNCT
ejpam-7172	209	55	then	then	ADV
ejpam-7172	209	56	y2,5	y2,5	PROPN
ejpam-7172	209	57	=	=	PUNCT
ejpam-7172	210	1	[	[	X
ejpam-7172	210	2	19	19	NUM
ejpam-7172	210	3	√	√	NUM
ejpam-7172	210	4	2ℏ1	2ℏ1	NUM
ejpam-7172	211	1	+	+	CCONJ
ejpam-7172	211	2	6	6	NUM
ejpam-7172	211	3	√	√	NUM
ejpam-7172	211	4	2	2	NUM
ejpam-7172	211	5	tanh2pq	tanh2pq	NOUN
ejpam-7172	211	6	(	(	PUNCT
ejpam-7172	211	7	√	√	NUM
ejpam-7172	211	8	−ℏ1	−ℏ1	PROPN
ejpam-7172	211	9	2	2	NUM
ejpam-7172	211	10	ζ)]eiθ+ρw−	ζ)]eiθ+ρw−	NOUN
ejpam-7172	211	11	1	1	NUM
ejpam-7172	211	12	2	2	NUM
ejpam-7172	211	13	ρ2	ρ2	NOUN
ejpam-7172	211	14	t	t	NOUN
ejpam-7172	211	15	,	,	PUNCT
ejpam-7172	211	16	(	(	PUNCT
ejpam-7172	211	17	65	65	NUM
ejpam-7172	211	18	)	)	PUNCT
ejpam-7172	211	19	z2,5	z2,5	PROPN
ejpam-7172	211	20	=	=	PUNCT
ejpam-7172	212	1	−	−	PROPN
ejpam-7172	212	2	[	[	PUNCT
ejpam-7172	212	3	1	1	NUM
ejpam-7172	212	4	3	3	NUM
ejpam-7172	212	5	k	k	NOUN
ejpam-7172	212	6	+	+	CCONJ
ejpam-7172	212	7	4	4	NUM
ejpam-7172	212	8	3	3	NUM
ejpam-7172	212	9	ℏ1	ℏ1	PROPN
ejpam-7172	212	10	+	+	CCONJ
ejpam-7172	212	11	6	6	NUM
ejpam-7172	212	12	tanh2pq	tanh2pq	NOUN
ejpam-7172	212	13	(	(	PUNCT
ejpam-7172	212	14	√	√	NUM
ejpam-7172	212	15	−ℏ1	−ℏ1	PROPN
ejpam-7172	212	16	2	2	NUM
ejpam-7172	212	17	ζ)]eρw−	ζ)]eρw−	NOUN
ejpam-7172	212	18	1	1	NUM
ejpam-7172	212	19	2	2	NUM
ejpam-7172	212	20	ρ2	ρ2	NOUN
ejpam-7172	212	21	t	t	NOUN
ejpam-7172	212	22	,	,	PUNCT
ejpam-7172	212	23	(	(	PUNCT
ejpam-7172	212	24	66	66	NUM
ejpam-7172	212	25	)	)	PUNCT
ejpam-7172	212	26	w.	w.	PROPN
ejpam-7172	212	27	w.	w.	PROPN
ejpam-7172	212	28	mohammed	mohammed	PROPN
ejpam-7172	212	29	et	et	PROPN
ejpam-7172	212	30	al	al	PROPN
ejpam-7172	212	31	.	.	PUNCT
ejpam-7172	212	32	/	/	SYM
ejpam-7172	212	33	eur	eur	PROPN
ejpam-7172	212	34	.	.	PUNCT
ejpam-7172	213	1	j.	j.	PROPN
ejpam-7172	213	2	pure	pure	PROPN
ejpam-7172	213	3	appl	appl	PROPN
ejpam-7172	213	4	.	.	PROPN
ejpam-7172	213	5	math	math	PROPN
ejpam-7172	213	6	,	,	PUNCT
ejpam-7172	213	7	18	18	NUM
ejpam-7172	213	8	(	(	PUNCT
ejpam-7172	213	9	4	4	NUM
ejpam-7172	213	10	)	)	PUNCT
ejpam-7172	213	11	(	(	PUNCT
ejpam-7172	213	12	2025	2025	NUM
ejpam-7172	213	13	)	)	PUNCT
ejpam-7172	213	14	,	,	PUNCT
ejpam-7172	213	15	7172	7172	NUM
ejpam-7172	213	16	10	10	NUM
ejpam-7172	213	17	of	of	ADP
ejpam-7172	213	18	22	22	NUM
ejpam-7172	213	19	y2,6	y2,6	NOUN
ejpam-7172	214	1	=	=	PUNCT
ejpam-7172	215	1	[	[	X
ejpam-7172	215	2	19	19	NUM
ejpam-7172	215	3	√	√	NUM
ejpam-7172	215	4	2ℏ1	2ℏ1	NUM
ejpam-7172	215	5	+	+	CCONJ
ejpam-7172	215	6	6	6	NUM
ejpam-7172	215	7	√	√	NUM
ejpam-7172	215	8	2	2	NUM
ejpam-7172	215	9	coth2pq	coth2pq	NOUN
ejpam-7172	215	10	(	(	PUNCT
ejpam-7172	215	11	√	√	NUM
ejpam-7172	215	12	−ℏ1	−ℏ1	PROPN
ejpam-7172	215	13	2	2	NUM
ejpam-7172	215	14	ζ)]eiθ+ρw−	ζ)]eiθ+ρw−	NOUN
ejpam-7172	215	15	1	1	NUM
ejpam-7172	215	16	2	2	NUM
ejpam-7172	215	17	ρ2	ρ2	NOUN
ejpam-7172	215	18	t	t	NOUN
ejpam-7172	215	19	,	,	PUNCT
ejpam-7172	215	20	(	(	PUNCT
ejpam-7172	215	21	67	67	NUM
ejpam-7172	215	22	)	)	PUNCT
ejpam-7172	215	23	z1,6	z1,6	PROPN
ejpam-7172	215	24	=	=	PUNCT
ejpam-7172	215	25	[	[	PUNCT
ejpam-7172	215	26	1	1	NUM
ejpam-7172	215	27	3	3	NUM
ejpam-7172	215	28	k	k	NOUN
ejpam-7172	215	29	+	+	CCONJ
ejpam-7172	215	30	4	4	NUM
ejpam-7172	215	31	3	3	NUM
ejpam-7172	215	32	ℏ1	ℏ1	ADJ
ejpam-7172	215	33	+	+	CCONJ
ejpam-7172	215	34	6	6	NUM
ejpam-7172	215	35	coth2pq	coth2pq	NOUN
ejpam-7172	215	36	(	(	PUNCT
ejpam-7172	215	37	√	√	NUM
ejpam-7172	215	38	−ℏ1	−ℏ1	PROPN
ejpam-7172	215	39	2	2	NUM
ejpam-7172	215	40	ζ)]eρw−	ζ)]eρw−	NOUN
ejpam-7172	215	41	1	1	NUM
ejpam-7172	215	42	2	2	NUM
ejpam-7172	215	43	ρ2	ρ2	NOUN
ejpam-7172	215	44	t	t	NOUN
ejpam-7172	215	45	,	,	PUNCT
ejpam-7172	215	46	(	(	PUNCT
ejpam-7172	215	47	68	68	NUM
ejpam-7172	215	48	)	)	PUNCT
ejpam-7172	215	49	y2,7	y2,7	NOUN
ejpam-7172	215	50	=	=	PUNCT
ejpam-7172	216	1	[	[	X
ejpam-7172	216	2	19	19	NUM
ejpam-7172	216	3	√	√	NUM
ejpam-7172	216	4	2ℏ1	2ℏ1	NUM
ejpam-7172	217	1	+	+	CCONJ
ejpam-7172	217	2	6	6	NUM
ejpam-7172	217	3	√	√	NUM
ejpam-7172	217	4	2(cothpq	2(cothpq	PROPN
ejpam-7172	217	5	(	(	PUNCT
ejpam-7172	217	6	√	√	ADP
ejpam-7172	217	7	−2ℏ1ζ)±	−2ℏ1ζ)±	NOUN
ejpam-7172	217	8	√	√	NOUN
ejpam-7172	217	9	pqcschpq	pqcschpq	NOUN
ejpam-7172	217	10	(	(	PUNCT
ejpam-7172	217	11	√	√	PROPN
ejpam-7172	217	12	−2ℏ1ζ))2]eiθ+ρw−	−2ℏ1ζ))2]eiθ+ρw−	PROPN
ejpam-7172	217	13	1	1	NUM
ejpam-7172	217	14	2	2	NUM
ejpam-7172	217	15	ρ2	ρ2	NOUN
ejpam-7172	217	16	t	t	NOUN
ejpam-7172	217	17	,	,	PUNCT
ejpam-7172	217	18	(	(	PUNCT
ejpam-7172	217	19	69	69	NUM
ejpam-7172	217	20	)	)	PUNCT
ejpam-7172	217	21	z2,7	z2,7	NOUN
ejpam-7172	217	22	=	=	PUNCT
ejpam-7172	218	1	−	−	PROPN
ejpam-7172	218	2	[	[	PUNCT
ejpam-7172	218	3	1	1	NUM
ejpam-7172	218	4	3	3	NUM
ejpam-7172	218	5	k	k	NOUN
ejpam-7172	218	6	+	+	CCONJ
ejpam-7172	218	7	4	4	NUM
ejpam-7172	218	8	3	3	NUM
ejpam-7172	218	9	ℏ1	ℏ1	PROPN
ejpam-7172	218	10	+	+	CCONJ
ejpam-7172	218	11	6(cothpq	6(cothpq	PROPN
ejpam-7172	218	12	(	(	PUNCT
ejpam-7172	218	13	√	√	ADP
ejpam-7172	218	14	−2ℏ1ζ)±	−2ℏ1ζ)±	NOUN
ejpam-7172	218	15	√	√	NOUN
ejpam-7172	218	16	pqcschpq	pqcschpq	NOUN
ejpam-7172	218	17	(	(	PUNCT
ejpam-7172	218	18	√	√	NUM
ejpam-7172	218	19	−2ℏ1ζ))2]eρw−	−2ℏ1ζ))2]eρw−	NOUN
ejpam-7172	218	20	1	1	NUM
ejpam-7172	218	21	2	2	NUM
ejpam-7172	218	22	ρ2	ρ2	NOUN
ejpam-7172	218	23	t	t	NOUN
ejpam-7172	218	24	,	,	PUNCT
ejpam-7172	218	25	(	(	PUNCT
ejpam-7172	218	26	70	70	NUM
ejpam-7172	218	27	)	)	PUNCT
ejpam-7172	218	28	and	and	CCONJ
ejpam-7172	218	29	y2,8	y2,8	PROPN
ejpam-7172	218	30	=	=	PUNCT
ejpam-7172	219	1	[	[	X
ejpam-7172	219	2	19	19	NUM
ejpam-7172	219	3	√	√	NUM
ejpam-7172	219	4	2ℏ1	2ℏ1	NUM
ejpam-7172	220	1	+	+	CCONJ
ejpam-7172	220	2	6	6	NUM
ejpam-7172	220	3	√	√	NUM
ejpam-7172	220	4	2(tanhpq	2(tanhpq	NUM
ejpam-7172	220	5	(	(	PUNCT
ejpam-7172	220	6	√	√	NUM
ejpam-7172	220	7	−ℏ1	−ℏ1	PROPN
ejpam-7172	220	8	8	8	NUM
ejpam-7172	220	9	ζ	ζ	NOUN
ejpam-7172	220	10	)	)	PUNCT
ejpam-7172	220	11	+	+	CCONJ
ejpam-7172	221	1	cothpq	cothpq	PROPN
ejpam-7172	221	2	(	(	PUNCT
ejpam-7172	221	3	√	√	NUM
ejpam-7172	221	4	−ℏ1	−ℏ1	PROPN
ejpam-7172	221	5	8	8	NUM
ejpam-7172	221	6	ζ))2]eiθ+ρw−	ζ))2]eiθ+ρw−	NOUN
ejpam-7172	221	7	1	1	NUM
ejpam-7172	221	8	2	2	NUM
ejpam-7172	221	9	ρ2	ρ2	NOUN
ejpam-7172	221	10	t	t	NOUN
ejpam-7172	221	11	,	,	PUNCT
ejpam-7172	221	12	(	(	PUNCT
ejpam-7172	221	13	71	71	NUM
ejpam-7172	221	14	)	)	PUNCT
ejpam-7172	221	15	z2,8	z2,8	NOUN
ejpam-7172	221	16	=	=	SYM
ejpam-7172	221	17	−	−	PROPN
ejpam-7172	221	18	[	[	PUNCT
ejpam-7172	221	19	1	1	NUM
ejpam-7172	221	20	3	3	NUM
ejpam-7172	221	21	k	k	NOUN
ejpam-7172	221	22	+	+	CCONJ
ejpam-7172	221	23	4	4	NUM
ejpam-7172	221	24	3	3	NUM
ejpam-7172	221	25	ℏ1	ℏ1	PROPN
ejpam-7172	221	26	+	+	CCONJ
ejpam-7172	221	27	6(tanhpq	6(tanhpq	PROPN
ejpam-7172	221	28	(	(	PUNCT
ejpam-7172	221	29	√	√	NUM
ejpam-7172	221	30	−ℏ1	−ℏ1	PROPN
ejpam-7172	221	31	8	8	NUM
ejpam-7172	221	32	ζ	ζ	NOUN
ejpam-7172	221	33	)	)	PUNCT
ejpam-7172	221	34	+	+	CCONJ
ejpam-7172	221	35	cothpq	cothpq	PROPN
ejpam-7172	221	36	(	(	PUNCT
ejpam-7172	221	37	√	√	NUM
ejpam-7172	221	38	−ℏ1	−ℏ1	PROPN
ejpam-7172	221	39	8	8	NUM
ejpam-7172	221	40	ζ))2]eρw−	ζ))2]eρw−	NUM
ejpam-7172	221	41	1	1	NUM
ejpam-7172	221	42	2	2	NUM
ejpam-7172	221	43	ρ2	ρ2	NOUN
ejpam-7172	221	44	t.	t.	NOUN
ejpam-7172	221	45	(	(	PUNCT
ejpam-7172	221	46	72	72	NUM
ejpam-7172	221	47	)	)	PUNCT
ejpam-7172	221	48	case	case	NOUN
ejpam-7172	221	49	ii-4	ii-4	ADV
ejpam-7172	221	50	:	:	PUNCT
ejpam-7172	221	51	if	if	SCONJ
ejpam-7172	221	52	ℏ1	ℏ1	X
ejpam-7172	221	53	>	>	X
ejpam-7172	221	54	0	0	NUM
ejpam-7172	221	55	,	,	PUNCT
ejpam-7172	221	56	and	and	CCONJ
ejpam-7172	221	57	ℏ2	ℏ2	NOUN
ejpam-7172	221	58	=	=	PUNCT
ejpam-7172	221	59	ℏ21	ℏ21	NOUN
ejpam-7172	221	60	4	4	NUM
ejpam-7172	221	61	,	,	PUNCT
ejpam-7172	221	62	then	then	ADV
ejpam-7172	221	63	y2,9	y2,9	PROPN
ejpam-7172	221	64	=	=	PUNCT
ejpam-7172	222	1	[	[	X
ejpam-7172	222	2	19	19	NUM
ejpam-7172	222	3	√	√	NUM
ejpam-7172	222	4	2ℏ1	2ℏ1	NUM
ejpam-7172	223	1	+	+	CCONJ
ejpam-7172	223	2	6	6	NUM
ejpam-7172	223	3	√	√	NUM
ejpam-7172	223	4	2	2	NUM
ejpam-7172	223	5	tan2pq	tan2pq	NOUN
ejpam-7172	223	6	(	(	PUNCT
ejpam-7172	223	7	√	√	ADP
ejpam-7172	223	8	ℏ1	ℏ1	PROPN
ejpam-7172	223	9	2	2	NUM
ejpam-7172	223	10	ζ)]eiθ+ρw−	ζ)]eiθ+ρw−	NOUN
ejpam-7172	223	11	1	1	NUM
ejpam-7172	223	12	2	2	NUM
ejpam-7172	223	13	ρ2	ρ2	NOUN
ejpam-7172	223	14	t	t	NOUN
ejpam-7172	223	15	,	,	PUNCT
ejpam-7172	223	16	(	(	PUNCT
ejpam-7172	223	17	73	73	NUM
ejpam-7172	223	18	)	)	PUNCT
ejpam-7172	223	19	z2,9	z2,9	NOUN
ejpam-7172	223	20	=	=	SYM
ejpam-7172	223	21	−	−	PROPN
ejpam-7172	223	22	[	[	PUNCT
ejpam-7172	223	23	8	8	NUM
ejpam-7172	223	24	3	3	NUM
ejpam-7172	223	25	ℏ1	ℏ1	NOUN
ejpam-7172	223	26	+	+	CCONJ
ejpam-7172	223	27	1	1	NUM
ejpam-7172	223	28	3	3	NUM
ejpam-7172	223	29	k	k	NOUN
ejpam-7172	223	30	+	+	CCONJ
ejpam-7172	223	31	6	6	NUM
ejpam-7172	223	32	tan2pq	tan2pq	NOUN
ejpam-7172	223	33	(	(	PUNCT
ejpam-7172	223	34	√	√	ADP
ejpam-7172	223	35	ℏ1	ℏ1	PROPN
ejpam-7172	223	36	2	2	NUM
ejpam-7172	223	37	ζ)]eρw−	ζ)]eρw−	NOUN
ejpam-7172	223	38	1	1	NUM
ejpam-7172	223	39	2	2	NUM
ejpam-7172	223	40	ρ2	ρ2	NOUN
ejpam-7172	223	41	t	t	NOUN
ejpam-7172	223	42	,	,	PUNCT
ejpam-7172	223	43	(	(	PUNCT
ejpam-7172	223	44	74	74	NUM
ejpam-7172	223	45	)	)	PUNCT
ejpam-7172	223	46	y2,10	y2,10	NUM
ejpam-7172	223	47	=	=	PUNCT
ejpam-7172	224	1	[	[	X
ejpam-7172	224	2	19	19	NUM
ejpam-7172	224	3	√	√	NUM
ejpam-7172	224	4	2ℏ1	2ℏ1	NUM
ejpam-7172	225	1	+	+	CCONJ
ejpam-7172	225	2	6	6	NUM
ejpam-7172	225	3	√	√	NUM
ejpam-7172	225	4	2	2	NUM
ejpam-7172	225	5	cot2pq	cot2pq	NOUN
ejpam-7172	225	6	(	(	PUNCT
ejpam-7172	225	7	√	√	NUM
ejpam-7172	225	8	ℏ1	ℏ1	PROPN
ejpam-7172	225	9	2	2	NUM
ejpam-7172	225	10	ζ)]eiθ+ρw−	ζ)]eiθ+ρw−	NOUN
ejpam-7172	225	11	1	1	NUM
ejpam-7172	225	12	2	2	NUM
ejpam-7172	225	13	ρ2	ρ2	NOUN
ejpam-7172	225	14	t	t	NOUN
ejpam-7172	225	15	,	,	PUNCT
ejpam-7172	225	16	(	(	PUNCT
ejpam-7172	225	17	75	75	NUM
ejpam-7172	225	18	)	)	PUNCT
ejpam-7172	225	19	z2,10	z2,10	NUM
ejpam-7172	225	20	=	=	SYM
ejpam-7172	226	1	−	−	PROPN
ejpam-7172	226	2	[	[	PUNCT
ejpam-7172	226	3	8	8	NUM
ejpam-7172	226	4	3	3	NUM
ejpam-7172	226	5	ℏ1	ℏ1	NOUN
ejpam-7172	226	6	+	+	CCONJ
ejpam-7172	226	7	1	1	NUM
ejpam-7172	226	8	3	3	NUM
ejpam-7172	227	1	k	k	NOUN
ejpam-7172	227	2	+	+	CCONJ
ejpam-7172	227	3	6	6	NUM
ejpam-7172	227	4	cot2pq	cot2pq	NOUN
ejpam-7172	227	5	(	(	PUNCT
ejpam-7172	227	6	√	√	ADP
ejpam-7172	227	7	ℏ1	ℏ1	ADJ
ejpam-7172	227	8	2	2	NUM
ejpam-7172	227	9	ζ)]eρw−	ζ)]eρw−	NOUN
ejpam-7172	227	10	1	1	NUM
ejpam-7172	227	11	2	2	NUM
ejpam-7172	227	12	ρ2	ρ2	NOUN
ejpam-7172	227	13	t	t	NOUN
ejpam-7172	227	14	,	,	PUNCT
ejpam-7172	227	15	(	(	PUNCT
ejpam-7172	227	16	76	76	NUM
ejpam-7172	227	17	)	)	PUNCT
ejpam-7172	227	18	y2,11	y2,11	NOUN
ejpam-7172	227	19	=	=	PUNCT
ejpam-7172	228	1	[	[	X
ejpam-7172	228	2	19	19	NUM
ejpam-7172	228	3	√	√	NUM
ejpam-7172	228	4	2ℏ1	2ℏ1	NUM
ejpam-7172	229	1	+	+	CCONJ
ejpam-7172	229	2	6	6	NUM
ejpam-7172	229	3	√	√	NUM
ejpam-7172	229	4	2(tanpq	2(tanpq	NUM
ejpam-7172	229	5	(	(	PUNCT
ejpam-7172	229	6	√	√	PROPN
ejpam-7172	229	7	2ℏ1ζ)±	2ℏ1ζ)±	NUM
ejpam-7172	229	8	√	√	PROPN
ejpam-7172	229	9	pq	pq	NUM
ejpam-7172	229	10	secpq	secpq	PROPN
ejpam-7172	229	11	(	(	PUNCT
ejpam-7172	229	12	√	√	ADV
ejpam-7172	229	13	2ℏ1ζ))2]eiθ+ρw−	2ℏ1ζ))2]eiθ+ρw−	NUM
ejpam-7172	229	14	1	1	NUM
ejpam-7172	229	15	2	2	NUM
ejpam-7172	229	16	ρ2	ρ2	NOUN
ejpam-7172	229	17	t	t	NOUN
ejpam-7172	229	18	,	,	PUNCT
ejpam-7172	229	19	(	(	PUNCT
ejpam-7172	229	20	77	77	NUM
ejpam-7172	229	21	)	)	PUNCT
ejpam-7172	229	22	z2,11	z2,11	PROPN
ejpam-7172	229	23	=	=	SYM
ejpam-7172	230	1	−	−	PROPN
ejpam-7172	230	2	[	[	PUNCT
ejpam-7172	230	3	8	8	NUM
ejpam-7172	230	4	3	3	NUM
ejpam-7172	230	5	ℏ1	ℏ1	NOUN
ejpam-7172	230	6	+	+	CCONJ
ejpam-7172	230	7	1	1	NUM
ejpam-7172	230	8	3	3	NUM
ejpam-7172	230	9	k	k	NOUN
ejpam-7172	230	10	+	+	NUM
ejpam-7172	230	11	6(tanpq	6(tanpq	NUM
ejpam-7172	230	12	(	(	PUNCT
ejpam-7172	230	13	√	√	PROPN
ejpam-7172	230	14	2ℏ1ζ)±	2ℏ1ζ)±	NUM
ejpam-7172	230	15	√	√	PROPN
ejpam-7172	230	16	pq	pq	NUM
ejpam-7172	230	17	secpq	secpq	PROPN
ejpam-7172	230	18	(	(	PUNCT
ejpam-7172	230	19	√	√	PROPN
ejpam-7172	230	20	2ℏ1ζ))2]eρw−	2ℏ1ζ))2]eρw−	NUM
ejpam-7172	230	21	1	1	NUM
ejpam-7172	230	22	2	2	NUM
ejpam-7172	230	23	ρ2	ρ2	NOUN
ejpam-7172	230	24	t	t	NOUN
ejpam-7172	230	25	,	,	PUNCT
ejpam-7172	230	26	(	(	PUNCT
ejpam-7172	230	27	78	78	NUM
ejpam-7172	230	28	)	)	PUNCT
ejpam-7172	230	29	y2,12	y2,12	PROPN
ejpam-7172	230	30	=	=	PUNCT
ejpam-7172	231	1	[	[	X
ejpam-7172	231	2	19	19	NUM
ejpam-7172	231	3	√	√	NUM
ejpam-7172	231	4	2ℏ1	2ℏ1	NUM
ejpam-7172	232	1	+	+	CCONJ
ejpam-7172	232	2	6	6	NUM
ejpam-7172	232	3	√	√	NUM
ejpam-7172	232	4	2(cotpq	2(cotpq	NUM
ejpam-7172	232	5	(	(	PUNCT
ejpam-7172	232	6	√	√	PROPN
ejpam-7172	232	7	2ℏ1ζ)±	2ℏ1ζ)±	NUM
ejpam-7172	232	8	√	√	PROPN
ejpam-7172	232	9	pq	pq	NUM
ejpam-7172	232	10	cscpq	cscpq	NOUN
ejpam-7172	232	11	(	(	PUNCT
ejpam-7172	232	12	√	√	ADV
ejpam-7172	232	13	2ℏ1ζ))2]eiθ+ρw−	2ℏ1ζ))2]eiθ+ρw−	NUM
ejpam-7172	232	14	1	1	NUM
ejpam-7172	232	15	2	2	NUM
ejpam-7172	232	16	ρ2	ρ2	NOUN
ejpam-7172	232	17	t	t	NOUN
ejpam-7172	232	18	,	,	PUNCT
ejpam-7172	232	19	(	(	PUNCT
ejpam-7172	232	20	79	79	NUM
ejpam-7172	232	21	)	)	PUNCT
ejpam-7172	232	22	z2,12	z2,12	PROPN
ejpam-7172	232	23	=	=	SYM
ejpam-7172	233	1	−	−	PROPN
ejpam-7172	233	2	[	[	PUNCT
ejpam-7172	233	3	8	8	NUM
ejpam-7172	233	4	3	3	NUM
ejpam-7172	233	5	ℏ1	ℏ1	NOUN
ejpam-7172	233	6	+	+	CCONJ
ejpam-7172	233	7	1	1	NUM
ejpam-7172	233	8	3	3	NUM
ejpam-7172	233	9	k	k	NOUN
ejpam-7172	233	10	+	+	CCONJ
ejpam-7172	233	11	6(cotpq	6(cotpq	NOUN
ejpam-7172	233	12	(	(	PUNCT
ejpam-7172	233	13	√	√	PROPN
ejpam-7172	233	14	2ℏ1ζ)±	2ℏ1ζ)±	NUM
ejpam-7172	233	15	√	√	PROPN
ejpam-7172	233	16	pq	pq	NUM
ejpam-7172	233	17	cscpq	cscpq	NOUN
ejpam-7172	233	18	(	(	PUNCT
ejpam-7172	233	19	√	√	PROPN
ejpam-7172	233	20	2ℏ1ζ))2]eρw−	2ℏ1ζ))2]eρw−	NUM
ejpam-7172	233	21	1	1	NUM
ejpam-7172	233	22	2	2	NUM
ejpam-7172	233	23	ρ2	ρ2	NOUN
ejpam-7172	233	24	t	t	NOUN
ejpam-7172	233	25	,	,	PUNCT
ejpam-7172	233	26	(	(	PUNCT
ejpam-7172	233	27	80	80	NUM
ejpam-7172	233	28	)	)	PUNCT
ejpam-7172	233	29	and	and	CCONJ
ejpam-7172	233	30	y2,13	y2,13	NUM
ejpam-7172	233	31	=	=	PUNCT
ejpam-7172	234	1	[	[	X
ejpam-7172	234	2	19	19	NUM
ejpam-7172	234	3	√	√	NUM
ejpam-7172	234	4	2ℏ1	2ℏ1	NUM
ejpam-7172	235	1	+	+	CCONJ
ejpam-7172	235	2	6	6	NUM
ejpam-7172	235	3	√	√	NUM
ejpam-7172	235	4	2(tanpq	2(tanpq	NUM
ejpam-7172	235	5	(	(	PUNCT
ejpam-7172	235	6	√	√	NUM
ejpam-7172	235	7	ℏ1	ℏ1	PROPN
ejpam-7172	235	8	8	8	NUM
ejpam-7172	235	9	ζ	ζ	NOUN
ejpam-7172	235	10	)	)	PUNCT
ejpam-7172	235	11	+	+	NOUN
ejpam-7172	235	12	cotpq	cotpq	NOUN
ejpam-7172	235	13	(	(	PUNCT
ejpam-7172	235	14	√	√	NUM
ejpam-7172	235	15	ℏ1	ℏ1	PROPN
ejpam-7172	235	16	8	8	NUM
ejpam-7172	235	17	ζ))2]eiθ+ρw−	ζ))2]eiθ+ρw−	NOUN
ejpam-7172	235	18	1	1	NUM
ejpam-7172	235	19	2	2	NUM
ejpam-7172	235	20	ρ2	ρ2	NOUN
ejpam-7172	235	21	t	t	NOUN
ejpam-7172	235	22	,	,	PUNCT
ejpam-7172	235	23	(	(	PUNCT
ejpam-7172	235	24	81	81	NUM
ejpam-7172	235	25	)	)	PUNCT
ejpam-7172	235	26	z2,13	z2,13	NUM
ejpam-7172	235	27	=	=	PUNCT
ejpam-7172	236	1	−	−	PROPN
ejpam-7172	236	2	[	[	PUNCT
ejpam-7172	236	3	8	8	NUM
ejpam-7172	236	4	3	3	NUM
ejpam-7172	236	5	ℏ1	ℏ1	NOUN
ejpam-7172	236	6	+	+	CCONJ
ejpam-7172	236	7	1	1	NUM
ejpam-7172	236	8	3	3	NUM
ejpam-7172	236	9	k	k	NOUN
ejpam-7172	236	10	+	+	NUM
ejpam-7172	236	11	6(tanpq	6(tanpq	NUM
ejpam-7172	236	12	(	(	PUNCT
ejpam-7172	236	13	√	√	ADP
ejpam-7172	236	14	ℏ1	ℏ1	PROPN
ejpam-7172	236	15	8	8	NUM
ejpam-7172	236	16	ζ	ζ	NOUN
ejpam-7172	236	17	)	)	PUNCT
ejpam-7172	236	18	+	+	NOUN
ejpam-7172	236	19	cotpq	cotpq	NOUN
ejpam-7172	236	20	(	(	PUNCT
ejpam-7172	236	21	√	√	PROPN
ejpam-7172	236	22	ℏ1	ℏ1	PROPN
ejpam-7172	236	23	8	8	NUM
ejpam-7172	236	24	ζ))2]eρw−	ζ))2]eρw−	NUM
ejpam-7172	236	25	1	1	NUM
ejpam-7172	236	26	2	2	NUM
ejpam-7172	236	27	ρ2	ρ2	NOUN
ejpam-7172	236	28	t.	t.	NOUN
ejpam-7172	236	29	(	(	PUNCT
ejpam-7172	236	30	82	82	NUM
ejpam-7172	236	31	)	)	PUNCT
ejpam-7172	236	32	remark	remark	NOUN
ejpam-7172	236	33	2	2	NUM
ejpam-7172	236	34	.	.	PUNCT
ejpam-7172	236	35	putting	put	VERB
ejpam-7172	236	36	p	p	NOUN
ejpam-7172	236	37	=	=	NOUN
ejpam-7172	236	38	q	q	NOUN
ejpam-7172	236	39	=	=	SYM
ejpam-7172	236	40	1	1	NUM
ejpam-7172	236	41	,	,	PUNCT
ejpam-7172	236	42	ρ	ρ	PROPN
ejpam-7172	236	43	=	=	SYM
ejpam-7172	236	44	0	0	NUM
ejpam-7172	236	45	and	and	CCONJ
ejpam-7172	236	46	α	α	NOUN
ejpam-7172	236	47	=	=	NOUN
ejpam-7172	236	48	1	1	NUM
ejpam-7172	236	49	from	from	ADP
ejpam-7172	236	50	(	(	PUNCT
ejpam-7172	236	51	57	57	NUM
ejpam-7172	236	52	)	)	PUNCT
ejpam-7172	236	53	to	to	ADP
ejpam-7172	236	54	(	(	PUNCT
ejpam-7172	236	55	82	82	NUM
ejpam-7172	236	56	)	)	PUNCT
ejpam-7172	236	57	yields	yield	VERB
ejpam-7172	236	58	the	the	DET
ejpam-7172	236	59	identical	identical	ADJ
ejpam-7172	236	60	results	result	NOUN
ejpam-7172	236	61	as	as	ADP
ejpam-7172	236	62	those	those	PRON
ejpam-7172	236	63	expressed	express	VERB
ejpam-7172	236	64	in	in	ADP
ejpam-7172	236	65	[	[	X
ejpam-7172	236	66	21	21	NUM
ejpam-7172	236	67	]	]	PUNCT
ejpam-7172	236	68	.	.	PUNCT
ejpam-7172	237	1	w.	w.	PROPN
ejpam-7172	237	2	w.	w.	PROPN
ejpam-7172	237	3	mohammed	mohammed	PROPN
ejpam-7172	237	4	et	et	PROPN
ejpam-7172	237	5	al	al	PROPN
ejpam-7172	237	6	.	.	PUNCT
ejpam-7172	237	7	/	/	SYM
ejpam-7172	237	8	eur	eur	PROPN
ejpam-7172	237	9	.	.	PUNCT
ejpam-7172	238	1	j.	j.	PROPN
ejpam-7172	238	2	pure	pure	PROPN
ejpam-7172	238	3	appl	appl	PROPN
ejpam-7172	238	4	.	.	PROPN
ejpam-7172	238	5	math	math	PROPN
ejpam-7172	238	6	,	,	PUNCT
ejpam-7172	238	7	18	18	NUM
ejpam-7172	238	8	(	(	PUNCT
ejpam-7172	238	9	4	4	NUM
ejpam-7172	238	10	)	)	PUNCT
ejpam-7172	238	11	(	(	PUNCT
ejpam-7172	238	12	2025	2025	NUM
ejpam-7172	238	13	)	)	PUNCT
ejpam-7172	238	14	,	,	PUNCT
ejpam-7172	238	15	7172	7172	NUM
ejpam-7172	238	16	11	11	NUM
ejpam-7172	238	17	of	of	ADP
ejpam-7172	238	18	22	22	NUM
ejpam-7172	238	19	5	5	NUM
ejpam-7172	238	20	.	.	PUNCT
ejpam-7172	238	21	effect	effect	NOUN
ejpam-7172	238	22	of	of	ADP
ejpam-7172	238	23	noise	noise	NOUN
ejpam-7172	238	24	and	and	CCONJ
ejpam-7172	238	25	fractional	fractional	ADJ
ejpam-7172	238	26	derivatives	derivative	NOUN
ejpam-7172	238	27	the	the	DET
ejpam-7172	238	28	recent	recent	ADJ
ejpam-7172	238	29	advances	advance	NOUN
ejpam-7172	238	30	in	in	ADP
ejpam-7172	238	31	experimental	experimental	ADJ
ejpam-7172	238	32	techniques	technique	NOUN
ejpam-7172	238	33	and	and	CCONJ
ejpam-7172	238	34	numerical	numerical	ADJ
ejpam-7172	238	35	simulations	simulation	NOUN
ejpam-7172	238	36	of	of	ADP
ejpam-7172	238	37	nonlinear	nonlinear	ADJ
ejpam-7172	238	38	wave	wave	NOUN
ejpam-7172	238	39	dynamics	dynamic	NOUN
ejpam-7172	238	40	offer	offer	VERB
ejpam-7172	238	41	the	the	DET
ejpam-7172	238	42	possibility	possibility	NOUN
ejpam-7172	238	43	of	of	ADP
ejpam-7172	238	44	confirming	confirm	VERB
ejpam-7172	238	45	the	the	DET
ejpam-7172	238	46	analytical	analytical	ADJ
ejpam-7172	238	47	results	result	NOUN
ejpam-7172	238	48	presented	present	VERB
ejpam-7172	238	49	in	in	ADP
ejpam-7172	238	50	this	this	DET
ejpam-7172	238	51	study	study	NOUN
ejpam-7172	238	52	.	.	PUNCT
ejpam-7172	239	1	in	in	ADP
ejpam-7172	239	2	particular	particular	ADJ
ejpam-7172	239	3	,	,	PUNCT
ejpam-7172	239	4	the	the	DET
ejpam-7172	239	5	bright	bright	ADJ
ejpam-7172	239	6	and	and	CCONJ
ejpam-7172	239	7	dark	dark	ADJ
ejpam-7172	239	8	soliton	soliton	NOUN
ejpam-7172	239	9	solutions	solution	NOUN
ejpam-7172	239	10	obtained	obtain	VERB
ejpam-7172	239	11	herein	herein	NOUN
ejpam-7172	239	12	under	under	ADP
ejpam-7172	239	13	the	the	DET
ejpam-7172	239	14	influence	influence	NOUN
ejpam-7172	239	15	of	of	ADP
ejpam-7172	239	16	stochasticity	stochasticity	NOUN
ejpam-7172	239	17	can	can	AUX
ejpam-7172	239	18	serve	serve	VERB
ejpam-7172	239	19	as	as	ADP
ejpam-7172	239	20	test	test	NOUN
ejpam-7172	239	21	beds	bed	NOUN
ejpam-7172	239	22	for	for	ADP
ejpam-7172	239	23	the	the	DET
ejpam-7172	239	24	validation	validation	NOUN
ejpam-7172	239	25	of	of	ADP
ejpam-7172	239	26	numerical	numerical	ADJ
ejpam-7172	239	27	approaches	approach	NOUN
ejpam-7172	239	28	to	to	ADP
ejpam-7172	239	29	noisy	noisy	ADJ
ejpam-7172	239	30	fractional	fractional	ADJ
ejpam-7172	239	31	systems	system	NOUN
ejpam-7172	239	32	.	.	PUNCT
ejpam-7172	240	1	for	for	ADP
ejpam-7172	240	2	instance	instance	NOUN
ejpam-7172	240	3	,	,	PUNCT
ejpam-7172	240	4	the	the	DET
ejpam-7172	240	5	application	application	NOUN
ejpam-7172	240	6	of	of	ADP
ejpam-7172	240	7	fractional	fractional	ADJ
ejpam-7172	240	8	spectral	spectral	ADJ
ejpam-7172	240	9	methods	method	NOUN
ejpam-7172	240	10	and	and	CCONJ
ejpam-7172	240	11	stochastic	stochastic	ADJ
ejpam-7172	240	12	finite	finite	ADJ
ejpam-7172	240	13	-	-	PUNCT
ejpam-7172	240	14	difference	difference	NOUN
ejpam-7172	240	15	techniques	technique	NOUN
ejpam-7172	240	16	can	can	AUX
ejpam-7172	240	17	model	model	VERB
ejpam-7172	240	18	the	the	DET
ejpam-7172	240	19	same	same	ADJ
ejpam-7172	240	20	conditions	condition	NOUN
ejpam-7172	240	21	and	and	CCONJ
ejpam-7172	240	22	be	be	AUX
ejpam-7172	240	23	contrasted	contrast	VERB
ejpam-7172	240	24	with	with	ADP
ejpam-7172	240	25	our	our	PRON
ejpam-7172	240	26	exact	exact	ADJ
ejpam-7172	240	27	solutions	solution	NOUN
ejpam-7172	240	28	in	in	ADP
ejpam-7172	240	29	order	order	NOUN
ejpam-7172	240	30	to	to	PART
ejpam-7172	240	31	understand	understand	VERB
ejpam-7172	240	32	the	the	DET
ejpam-7172	240	33	robustness	robustness	NOUN
ejpam-7172	240	34	and	and	CCONJ
ejpam-7172	240	35	validity	validity	NOUN
ejpam-7172	240	36	of	of	ADP
ejpam-7172	240	37	computational	computational	ADJ
ejpam-7172	240	38	approaches	approach	NOUN
ejpam-7172	240	39	.	.	PUNCT
ejpam-7172	241	1	additionally	additionally	ADV
ejpam-7172	241	2	,	,	PUNCT
ejpam-7172	241	3	in	in	ADP
ejpam-7172	241	4	experimental	experimental	ADJ
ejpam-7172	241	5	settings	setting	NOUN
ejpam-7172	241	6	such	such	ADJ
ejpam-7172	241	7	as	as	ADP
ejpam-7172	241	8	nonlinear	nonlinear	ADJ
ejpam-7172	241	9	optics	optic	NOUN
ejpam-7172	241	10	and	and	CCONJ
ejpam-7172	241	11	bose	bose	NOUN
ejpam-7172	241	12	-	-	PUNCT
ejpam-7172	241	13	einstein	einstein	NOUN
ejpam-7172	241	14	condensates	condensate	NOUN
ejpam-7172	241	15	,	,	PUNCT
ejpam-7172	241	16	setups	setup	NOUN
ejpam-7172	241	17	with	with	ADP
ejpam-7172	241	18	tunable	tunable	ADJ
ejpam-7172	241	19	noise	noise	NOUN
ejpam-7172	241	20	and	and	CCONJ
ejpam-7172	241	21	dispersion	dispersion	NOUN
ejpam-7172	241	22	parameters	parameter	NOUN
ejpam-7172	241	23	can	can	AUX
ejpam-7172	241	24	provide	provide	VERB
ejpam-7172	241	25	feasible	feasible	ADJ
ejpam-7172	241	26	arenas	arena	NOUN
ejpam-7172	241	27	for	for	ADP
ejpam-7172	241	28	tracking	track	VERB
ejpam-7172	241	29	the	the	DET
ejpam-7172	241	30	qualitative	qualitative	ADJ
ejpam-7172	241	31	dynamics	dynamic	NOUN
ejpam-7172	241	32	predicted	predict	VERB
ejpam-7172	241	33	by	by	ADP
ejpam-7172	241	34	our	our	PRON
ejpam-7172	241	35	work	work	NOUN
ejpam-7172	241	36	.	.	PUNCT
ejpam-7172	242	1	hence	hence	ADV
ejpam-7172	242	2	,	,	PUNCT
ejpam-7172	242	3	our	our	PRON
ejpam-7172	242	4	results	result	NOUN
ejpam-7172	242	5	not	not	PART
ejpam-7172	242	6	only	only	ADV
ejpam-7172	242	7	enrich	enrich	VERB
ejpam-7172	242	8	the	the	DET
ejpam-7172	242	9	theory	theory	NOUN
ejpam-7172	242	10	of	of	ADP
ejpam-7172	242	11	nonlinear	nonlinear	ADJ
ejpam-7172	242	12	fpdes	fpde	NOUN
ejpam-7172	242	13	but	but	CCONJ
ejpam-7172	242	14	also	also	ADV
ejpam-7172	242	15	pave	pave	VERB
ejpam-7172	242	16	the	the	DET
ejpam-7172	242	17	way	way	NOUN
ejpam-7172	242	18	for	for	ADP
ejpam-7172	242	19	future	future	ADJ
ejpam-7172	242	20	experimental	experimental	ADJ
ejpam-7172	242	21	verification	verification	NOUN
ejpam-7172	242	22	and	and	CCONJ
ejpam-7172	242	23	numerical	numerical	ADJ
ejpam-7172	242	24	exploration	exploration	NOUN
ejpam-7172	242	25	.	.	PUNCT
ejpam-7172	243	1	effect	effect	NOUN
ejpam-7172	243	2	of	of	ADP
ejpam-7172	243	3	noise	noise	NOUN
ejpam-7172	243	4	:	:	PUNCT
ejpam-7172	243	5	the	the	DET
ejpam-7172	243	6	existence	existence	NOUN
ejpam-7172	243	7	of	of	ADP
ejpam-7172	243	8	multiplicative	multiplicative	ADJ
ejpam-7172	243	9	noise	noise	NOUN
ejpam-7172	243	10	in	in	ADP
ejpam-7172	243	11	the	the	DET
ejpam-7172	243	12	schrödinger	schrödinger	ADJ
ejpam-7172	243	13	-	-	PUNCT
ejpam-7172	243	14	kdv	kdv	NOUN
ejpam-7172	243	15	equation	equation	NOUN
ejpam-7172	243	16	can	can	AUX
ejpam-7172	243	17	have	have	VERB
ejpam-7172	243	18	significant	significant	ADJ
ejpam-7172	243	19	implications	implication	NOUN
ejpam-7172	243	20	for	for	ADP
ejpam-7172	243	21	the	the	DET
ejpam-7172	243	22	dynamics	dynamic	NOUN
ejpam-7172	243	23	of	of	ADP
ejpam-7172	243	24	the	the	DET
ejpam-7172	243	25	system	system	NOUN
ejpam-7172	243	26	.	.	PUNCT
ejpam-7172	244	1	in	in	ADP
ejpam-7172	244	2	the	the	DET
ejpam-7172	244	3	presence	presence	NOUN
ejpam-7172	244	4	of	of	ADP
ejpam-7172	244	5	noise	noise	NOUN
ejpam-7172	244	6	,	,	PUNCT
ejpam-7172	244	7	the	the	DET
ejpam-7172	244	8	solutions	solution	NOUN
ejpam-7172	244	9	of	of	ADP
ejpam-7172	244	10	the	the	DET
ejpam-7172	244	11	equation	equation	NOUN
ejpam-7172	244	12	may	may	AUX
ejpam-7172	244	13	exhibit	exhibit	VERB
ejpam-7172	244	14	stochastic	stochastic	ADJ
ejpam-7172	244	15	behavior	behavior	NOUN
ejpam-7172	244	16	,	,	PUNCT
ejpam-7172	244	17	leading	lead	VERB
ejpam-7172	244	18	to	to	ADP
ejpam-7172	244	19	fluctuations	fluctuation	NOUN
ejpam-7172	244	20	in	in	ADP
ejpam-7172	244	21	the	the	DET
ejpam-7172	244	22	amplitude	amplitude	NOUN
ejpam-7172	244	23	and	and	CCONJ
ejpam-7172	244	24	phase	phase	NOUN
ejpam-7172	244	25	of	of	ADP
ejpam-7172	244	26	the	the	DET
ejpam-7172	244	27	waves	wave	NOUN
ejpam-7172	244	28	.	.	PUNCT
ejpam-7172	245	1	these	these	DET
ejpam-7172	245	2	fluctuations	fluctuation	NOUN
ejpam-7172	245	3	can	can	AUX
ejpam-7172	245	4	affect	affect	VERB
ejpam-7172	245	5	the	the	DET
ejpam-7172	245	6	stability	stability	NOUN
ejpam-7172	245	7	of	of	ADP
ejpam-7172	245	8	the	the	DET
ejpam-7172	245	9	solutions	solution	NOUN
ejpam-7172	245	10	and	and	CCONJ
ejpam-7172	245	11	the	the	DET
ejpam-7172	245	12	overall	overall	ADJ
ejpam-7172	245	13	dynamics	dynamic	NOUN
ejpam-7172	245	14	of	of	ADP
ejpam-7172	245	15	the	the	DET
ejpam-7172	245	16	system	system	NOUN
ejpam-7172	245	17	,	,	PUNCT
ejpam-7172	245	18	making	make	VERB
ejpam-7172	245	19	it	it	PRON
ejpam-7172	245	20	challenging	challenge	VERB
ejpam-7172	245	21	to	to	PART
ejpam-7172	245	22	accurately	accurately	ADV
ejpam-7172	245	23	predict	predict	VERB
ejpam-7172	245	24	the	the	DET
ejpam-7172	245	25	behavior	behavior	NOUN
ejpam-7172	245	26	of	of	ADP
ejpam-7172	245	27	the	the	DET
ejpam-7172	245	28	waves	wave	NOUN
ejpam-7172	245	29	over	over	ADP
ejpam-7172	245	30	time	time	NOUN
ejpam-7172	245	31	.	.	PUNCT
ejpam-7172	246	1	let	let	VERB
ejpam-7172	246	2	us	we	PRON
ejpam-7172	246	3	now	now	ADV
ejpam-7172	246	4	display	display	VERB
ejpam-7172	246	5	the	the	DET
ejpam-7172	246	6	noise	noise	NOUN
ejpam-7172	246	7	impacts	impact	NOUN
ejpam-7172	246	8	on	on	ADP
ejpam-7172	246	9	the	the	DET
ejpam-7172	246	10	exact	exact	ADJ
ejpam-7172	246	11	solution	solution	NOUN
ejpam-7172	246	12	of	of	ADP
ejpam-7172	246	13	the	the	DET
ejpam-7172	246	14	scs	scs	PROPN
ejpam-7172	246	15	-	-	PUNCT
ejpam-7172	246	16	kdves	kdve	NOUN
ejpam-7172	246	17	-	-	PUNCT
ejpam-7172	246	18	cdo	cdo	NOUN
ejpam-7172	246	19	(	(	PUNCT
ejpam-7172	246	20	1	1	NUM
ejpam-7172	246	21	)	)	PUNCT
ejpam-7172	246	22	.	.	PUNCT
ejpam-7172	247	1	many	many	ADJ
ejpam-7172	247	2	figures	figure	NOUN
ejpam-7172	247	3	are	be	AUX
ejpam-7172	247	4	included	include	VERB
ejpam-7172	247	5	to	to	PART
ejpam-7172	247	6	illustrate	illustrate	VERB
ejpam-7172	247	7	the	the	DET
ejpam-7172	247	8	behavior	behavior	NOUN
ejpam-7172	247	9	of	of	ADP
ejpam-7172	247	10	some	some	PRON
ejpam-7172	247	11	of	of	ADP
ejpam-7172	247	12	the	the	DET
ejpam-7172	247	13	solutions	solution	NOUN
ejpam-7172	247	14	that	that	PRON
ejpam-7172	247	15	were	be	AUX
ejpam-7172	247	16	produced	produce	VERB
ejpam-7172	247	17	,	,	PUNCT
ejpam-7172	247	18	such	such	ADJ
ejpam-7172	247	19	as	as	ADP
ejpam-7172	247	20	eqs	eqs	X
ejpam-7172	247	21	(	(	PUNCT
ejpam-7172	247	22	29	29	NUM
ejpam-7172	247	23	)	)	PUNCT
ejpam-7172	247	24	,	,	PUNCT
ejpam-7172	247	25	(	(	PUNCT
ejpam-7172	247	26	30	30	NUM
ejpam-7172	247	27	)	)	PUNCT
ejpam-7172	247	28	,	,	PUNCT
ejpam-7172	247	29	(	(	PUNCT
ejpam-7172	247	30	37	37	NUM
ejpam-7172	247	31	)	)	PUNCT
ejpam-7172	247	32	,	,	PUNCT
ejpam-7172	247	33	and	and	CCONJ
ejpam-7172	247	34	(	(	PUNCT
ejpam-7172	247	35	38	38	NUM
ejpam-7172	247	36	)	)	PUNCT
ejpam-7172	247	37	as	as	SCONJ
ejpam-7172	247	38	follows	follow	VERB
ejpam-7172	247	39	:	:	PUNCT
ejpam-7172	247	40	w.	w.	PROPN
ejpam-7172	247	41	w.	w.	PROPN
ejpam-7172	247	42	mohammed	mohammed	PROPN
ejpam-7172	247	43	et	et	PROPN
ejpam-7172	247	44	al	al	PROPN
ejpam-7172	247	45	.	.	PUNCT
ejpam-7172	247	46	/	/	SYM
ejpam-7172	247	47	eur	eur	PROPN
ejpam-7172	247	48	.	.	PUNCT
ejpam-7172	248	1	j.	j.	PROPN
ejpam-7172	248	2	pure	pure	PROPN
ejpam-7172	248	3	appl	appl	PROPN
ejpam-7172	248	4	.	.	PROPN
ejpam-7172	248	5	math	math	PROPN
ejpam-7172	248	6	,	,	PUNCT
ejpam-7172	248	7	18	18	NUM
ejpam-7172	248	8	(	(	PUNCT
ejpam-7172	248	9	4	4	NUM
ejpam-7172	248	10	)	)	PUNCT
ejpam-7172	248	11	(	(	PUNCT
ejpam-7172	248	12	2025	2025	NUM
ejpam-7172	248	13	)	)	PUNCT
ejpam-7172	248	14	,	,	PUNCT
ejpam-7172	248	15	7172	7172	NUM
ejpam-7172	248	16	12	12	NUM
ejpam-7172	248	17	of	of	ADP
ejpam-7172	248	18	22	22	NUM
ejpam-7172	248	19	(	(	PUNCT
ejpam-7172	248	20	a	a	NOUN
ejpam-7172	248	21	)	)	PUNCT
ejpam-7172	248	22	ρ	ρ	NOUN
ejpam-7172	248	23	=	=	SYM
ejpam-7172	248	24	0	0	PUNCT
ejpam-7172	248	25	(	(	PUNCT
ejpam-7172	248	26	b	b	NOUN
ejpam-7172	248	27	)	)	PUNCT
ejpam-7172	248	28	ρ	ρ	PROPN
ejpam-7172	248	29	=	=	SYM
ejpam-7172	248	30	0.1	0.1	NUM
ejpam-7172	248	31	(	(	PUNCT
ejpam-7172	248	32	c	c	NOUN
ejpam-7172	248	33	)	)	PUNCT
ejpam-7172	248	34	ρ	ρ	PROPN
ejpam-7172	248	35	=	=	SYM
ejpam-7172	248	36	0.3	0.3	NUM
ejpam-7172	248	37	(	(	PUNCT
ejpam-7172	248	38	d	d	NOUN
ejpam-7172	248	39	)	)	PUNCT
ejpam-7172	248	40	ρ	ρ	PROPN
ejpam-7172	248	41	=	=	SYM
ejpam-7172	248	42	1	1	NUM
ejpam-7172	248	43	(	(	PUNCT
ejpam-7172	248	44	e	e	NOUN
ejpam-7172	248	45	)	)	PUNCT
ejpam-7172	248	46	ρ	ρ	PROPN
ejpam-7172	248	47	=	=	SYM
ejpam-7172	248	48	2	2	NUM
ejpam-7172	248	49	(	(	PUNCT
ejpam-7172	248	50	f	f	X
ejpam-7172	248	51	)	)	PUNCT
ejpam-7172	248	52	ρ	ρ	PROPN
ejpam-7172	248	53	=	=	SYM
ejpam-7172	248	54	0	0	NUM
ejpam-7172	248	55	,	,	PUNCT
ejpam-7172	248	56	0.1	0.1	NUM
ejpam-7172	248	57	,	,	PUNCT
ejpam-7172	248	58	0.3	0.3	NUM
ejpam-7172	248	59	,	,	PUNCT
ejpam-7172	248	60	1	1	NUM
ejpam-7172	248	61	,	,	PUNCT
ejpam-7172	248	62	2	2	NUM
ejpam-7172	248	63	figure	figure	NOUN
ejpam-7172	248	64	1	1	NUM
ejpam-7172	248	65	.	.	PUNCT
ejpam-7172	249	1	(	(	PUNCT
ejpam-7172	249	2	a	a	DET
ejpam-7172	249	3	-	-	PUNCT
ejpam-7172	249	4	e	e	NOUN
ejpam-7172	249	5	)	)	PUNCT
ejpam-7172	249	6	3d	3d	NUM
ejpam-7172	249	7	profiles	profile	NOUN
ejpam-7172	249	8	of	of	ADP
ejpam-7172	249	9	the	the	DET
ejpam-7172	249	10	bright	bright	ADJ
ejpam-7172	249	11	soliton	soliton	NOUN
ejpam-7172	249	12	solution	solution	NOUN
ejpam-7172	249	13	y(x	y(x	PROPN
ejpam-7172	249	14	,	,	PUNCT
ejpam-7172	249	15	t	t	PROPN
ejpam-7172	249	16	)	)	PUNCT
ejpam-7172	249	17	of	of	ADP
ejpam-7172	249	18	eq	eq	PROPN
ejpam-7172	249	19	.	.	PUNCT
ejpam-7172	250	1	(	(	PUNCT
ejpam-7172	250	2	29	29	NUM
ejpam-7172	250	3	)	)	PUNCT
ejpam-7172	250	4	under	under	ADP
ejpam-7172	250	5	different	different	ADJ
ejpam-7172	250	6	noise	noise	NOUN
ejpam-7172	250	7	intensities	intensity	NOUN
ejpam-7172	250	8	ρ	ρ	X
ejpam-7172	250	9	.	.	PUNCT
ejpam-7172	251	1	as	as	ADP
ejpam-7172	251	2	ρ	ρ	PROPN
ejpam-7172	251	3	increases	increase	NOUN
ejpam-7172	251	4	from	from	ADP
ejpam-7172	251	5	0	0	NUM
ejpam-7172	251	6	to	to	ADP
ejpam-7172	251	7	2	2	NUM
ejpam-7172	251	8	,	,	PUNCT
ejpam-7172	251	9	the	the	DET
ejpam-7172	251	10	soliton	soliton	NOUN
ejpam-7172	251	11	peak	peak	NOUN
ejpam-7172	251	12	deforms	deform	VERB
ejpam-7172	251	13	significantly	significantly	ADV
ejpam-7172	251	14	:	:	PUNCT
ejpam-7172	251	15	small	small	ADJ
ejpam-7172	251	16	noise	noise	NOUN
ejpam-7172	251	17	(	(	PUNCT
ejpam-7172	251	18	ρ	ρ	NOUN
ejpam-7172	251	19	=	=	SYM
ejpam-7172	251	20	0.1	0.1	NUM
ejpam-7172	251	21	,	,	PUNCT
ejpam-7172	251	22	0.3	0.3	NUM
ejpam-7172	251	23	)	)	PUNCT
ejpam-7172	251	24	induces	induce	VERB
ejpam-7172	251	25	slight	slight	ADJ
ejpam-7172	251	26	oscillations	oscillation	NOUN
ejpam-7172	251	27	,	,	PUNCT
ejpam-7172	251	28	while	while	SCONJ
ejpam-7172	251	29	stronger	strong	ADJ
ejpam-7172	251	30	noise	noise	NOUN
ejpam-7172	251	31	(	(	PUNCT
ejpam-7172	251	32	ρ	ρ	NOUN
ejpam-7172	251	33	=	=	SYM
ejpam-7172	251	34	1	1	NUM
ejpam-7172	251	35	,	,	PUNCT
ejpam-7172	251	36	2	2	NUM
ejpam-7172	251	37	)	)	PUNCT
ejpam-7172	251	38	destabilizes	destabilize	VERB
ejpam-7172	251	39	and	and	CCONJ
ejpam-7172	251	40	suppresses	suppress	VERB
ejpam-7172	251	41	the	the	DET
ejpam-7172	251	42	soliton	soliton	NOUN
ejpam-7172	251	43	,	,	PUNCT
ejpam-7172	251	44	reflecting	reflect	VERB
ejpam-7172	251	45	the	the	DET
ejpam-7172	251	46	dissipative	dissipative	ADJ
ejpam-7172	251	47	role	role	NOUN
ejpam-7172	251	48	of	of	ADP
ejpam-7172	251	49	stochasticity	stochasticity	NOUN
ejpam-7172	251	50	.	.	PUNCT
ejpam-7172	252	1	(	(	PUNCT
ejpam-7172	252	2	f	f	X
ejpam-7172	252	3	)	)	PUNCT
ejpam-7172	252	4	2d	2d	PROPN
ejpam-7172	252	5	cross	cross	ADJ
ejpam-7172	252	6	-	-	ADJ
ejpam-7172	252	7	sectional	sectional	ADJ
ejpam-7172	252	8	profiles	profile	NOUN
ejpam-7172	252	9	showing	show	VERB
ejpam-7172	252	10	how	how	SCONJ
ejpam-7172	252	11	increasing	increase	VERB
ejpam-7172	252	12	ρ	ρ	NOUN
ejpam-7172	252	13	reduces	reduce	VERB
ejpam-7172	252	14	amplitude	amplitude	NOUN
ejpam-7172	252	15	and	and	CCONJ
ejpam-7172	252	16	broadens	broaden	VERB
ejpam-7172	252	17	the	the	DET
ejpam-7172	252	18	wave	wave	NOUN
ejpam-7172	252	19	,	,	PUNCT
ejpam-7172	252	20	indicating	indicate	VERB
ejpam-7172	252	21	that	that	SCONJ
ejpam-7172	252	22	noise	noise	NOUN
ejpam-7172	252	23	progressively	progressively	ADV
ejpam-7172	252	24	stabilizes	stabilize	VERB
ejpam-7172	252	25	the	the	DET
ejpam-7172	252	26	solution	solution	NOUN
ejpam-7172	252	27	toward	toward	ADP
ejpam-7172	252	28	zero	zero	NUM
ejpam-7172	252	29	.	.	PUNCT
ejpam-7172	253	1	simulations	simulation	NOUN
ejpam-7172	253	2	are	be	AUX
ejpam-7172	253	3	performed	perform	VERB
ejpam-7172	253	4	with	with	ADP
ejpam-7172	253	5	k	k	PROPN
ejpam-7172	253	6	=	=	SYM
ejpam-7172	253	7	−1	−1	NOUN
ejpam-7172	253	8	,	,	PUNCT
ejpam-7172	253	9	q	q	NOUN
ejpam-7172	253	10	=	=	NOUN
ejpam-7172	253	11	0.8	0.8	NUM
ejpam-7172	253	12	,	,	PUNCT
ejpam-7172	253	13	p	p	NOUN
ejpam-7172	253	14	=	=	NOUN
ejpam-7172	253	15	0.9	0.9	NUM
ejpam-7172	253	16	,	,	PUNCT
ejpam-7172	253	17	δ	δ	PROPN
ejpam-7172	253	18	=	=	SYM
ejpam-7172	253	19	1	1	NUM
ejpam-7172	253	20	,	,	PUNCT
ejpam-7172	253	21	x	x	SYM
ejpam-7172	253	22	∈	∈	PROPN
ejpam-7172	254	1	[	[	X
ejpam-7172	254	2	0	0	NUM
ejpam-7172	254	3	,	,	PUNCT
ejpam-7172	254	4	4	4	NUM
ejpam-7172	254	5	]	]	PUNCT
ejpam-7172	254	6	,	,	PUNCT
ejpam-7172	254	7	w.	w.	PROPN
ejpam-7172	254	8	w.	w.	PROPN
ejpam-7172	254	9	mohammed	mohammed	PROPN
ejpam-7172	254	10	et	et	PROPN
ejpam-7172	254	11	al	al	PROPN
ejpam-7172	254	12	.	.	PUNCT
ejpam-7172	254	13	/	/	SYM
ejpam-7172	254	14	eur	eur	PROPN
ejpam-7172	254	15	.	.	PUNCT
ejpam-7172	255	1	j.	j.	PROPN
ejpam-7172	255	2	pure	pure	PROPN
ejpam-7172	255	3	appl	appl	PROPN
ejpam-7172	255	4	.	.	PROPN
ejpam-7172	255	5	math	math	PROPN
ejpam-7172	255	6	,	,	PUNCT
ejpam-7172	255	7	18	18	NUM
ejpam-7172	255	8	(	(	PUNCT
ejpam-7172	255	9	4	4	NUM
ejpam-7172	255	10	)	)	PUNCT
ejpam-7172	255	11	(	(	PUNCT
ejpam-7172	255	12	2025	2025	NUM
ejpam-7172	255	13	)	)	PUNCT
ejpam-7172	255	14	,	,	PUNCT
ejpam-7172	255	15	7172	7172	NUM
ejpam-7172	255	16	13	13	NUM
ejpam-7172	255	17	of	of	ADP
ejpam-7172	255	18	22	22	NUM
ejpam-7172	255	19	t	t	NOUN
ejpam-7172	255	20	∈	∈	PROPN
ejpam-7172	256	1	[	[	X
ejpam-7172	256	2	0	0	NUM
ejpam-7172	256	3	,	,	PUNCT
ejpam-7172	256	4	2.5	2.5	NUM
ejpam-7172	256	5	]	]	PUNCT
ejpam-7172	256	6	,	,	PUNCT
ejpam-7172	256	7	and	and	CCONJ
ejpam-7172	256	8	derivative	derivative	ADJ
ejpam-7172	256	9	order	order	NOUN
ejpam-7172	256	10	α	α	NOUN
ejpam-7172	256	11	=	=	SYM
ejpam-7172	256	12	1	1	X
ejpam-7172	256	13	.	.	PUNCT
ejpam-7172	256	14	(	(	PUNCT
ejpam-7172	256	15	a	a	X
ejpam-7172	256	16	)	)	PUNCT
ejpam-7172	256	17	ρ	ρ	NOUN
ejpam-7172	256	18	=	=	SYM
ejpam-7172	256	19	0	0	PUNCT
ejpam-7172	256	20	(	(	PUNCT
ejpam-7172	256	21	b	b	NOUN
ejpam-7172	256	22	)	)	PUNCT
ejpam-7172	256	23	ρ	ρ	PROPN
ejpam-7172	256	24	=	=	SYM
ejpam-7172	256	25	0.1	0.1	NUM
ejpam-7172	256	26	(	(	PUNCT
ejpam-7172	256	27	c	c	NOUN
ejpam-7172	256	28	)	)	PUNCT
ejpam-7172	256	29	ρ	ρ	PROPN
ejpam-7172	256	30	=	=	SYM
ejpam-7172	256	31	0.3	0.3	NUM
ejpam-7172	256	32	(	(	PUNCT
ejpam-7172	256	33	d	d	NOUN
ejpam-7172	256	34	)	)	PUNCT
ejpam-7172	256	35	ρ	ρ	PROPN
ejpam-7172	256	36	=	=	SYM
ejpam-7172	256	37	1	1	NUM
ejpam-7172	256	38	(	(	PUNCT
ejpam-7172	256	39	e	e	NOUN
ejpam-7172	256	40	)	)	PUNCT
ejpam-7172	256	41	ρ	ρ	PROPN
ejpam-7172	256	42	=	=	SYM
ejpam-7172	256	43	2	2	NUM
ejpam-7172	256	44	(	(	PUNCT
ejpam-7172	256	45	f	f	X
ejpam-7172	256	46	)	)	PUNCT
ejpam-7172	256	47	ρ	ρ	PROPN
ejpam-7172	256	48	=	=	SYM
ejpam-7172	256	49	0	0	NUM
ejpam-7172	256	50	,	,	PUNCT
ejpam-7172	256	51	0.1	0.1	NUM
ejpam-7172	256	52	,	,	PUNCT
ejpam-7172	256	53	0.3	0.3	NUM
ejpam-7172	256	54	,	,	PUNCT
ejpam-7172	256	55	1	1	NUM
ejpam-7172	256	56	,	,	PUNCT
ejpam-7172	256	57	2	2	NUM
ejpam-7172	256	58	figure	figure	NOUN
ejpam-7172	256	59	2	2	NUM
ejpam-7172	256	60	.	.	PUNCT
ejpam-7172	256	61	(	(	PUNCT
ejpam-7172	256	62	a	a	DET
ejpam-7172	256	63	-	-	PUNCT
ejpam-7172	256	64	e	e	NOUN
ejpam-7172	256	65	)	)	PUNCT
ejpam-7172	256	66	3d	3d	NUM
ejpam-7172	256	67	views	view	NOUN
ejpam-7172	256	68	of	of	ADP
ejpam-7172	256	69	the	the	DET
ejpam-7172	256	70	bright	bright	ADJ
ejpam-7172	256	71	soliton	soliton	NOUN
ejpam-7172	256	72	solution	solution	NOUN
ejpam-7172	256	73	z(x	z(x	PROPN
ejpam-7172	256	74	,	,	PUNCT
ejpam-7172	256	75	t	t	PROPN
ejpam-7172	256	76	)	)	PUNCT
ejpam-7172	256	77	of	of	ADP
ejpam-7172	256	78	eq	eq	PROPN
ejpam-7172	256	79	.	.	PUNCT
ejpam-7172	257	1	(	(	PUNCT
ejpam-7172	257	2	30	30	NUM
ejpam-7172	257	3	)	)	PUNCT
ejpam-7172	257	4	under	under	ADP
ejpam-7172	257	5	varying	vary	VERB
ejpam-7172	257	6	noise	noise	NOUN
ejpam-7172	257	7	intensities	intensity	NOUN
ejpam-7172	257	8	ρ	ρ	X
ejpam-7172	257	9	=	=	SYM
ejpam-7172	257	10	0	0	NUM
ejpam-7172	257	11	,	,	PUNCT
ejpam-7172	257	12	0.1	0.1	NUM
ejpam-7172	257	13	,	,	PUNCT
ejpam-7172	257	14	0.3	0.3	NUM
ejpam-7172	257	15	,	,	PUNCT
ejpam-7172	257	16	1	1	NUM
ejpam-7172	257	17	,	,	PUNCT
ejpam-7172	257	18	2	2	NUM
ejpam-7172	257	19	.	.	NUM
ejpam-7172	257	20	thes	thes	PROPN
ejpam-7172	257	21	plots	plot	NOUN
ejpam-7172	257	22	are	be	AUX
ejpam-7172	257	23	drawn	draw	VERB
ejpam-7172	257	24	when	when	SCONJ
ejpam-7172	257	25	k	k	PROPN
ejpam-7172	257	26	=	=	SYM
ejpam-7172	257	27	−1	−1	PROPN
ejpam-7172	257	28	,	,	PUNCT
ejpam-7172	257	29	q	q	NOUN
ejpam-7172	257	30	=	=	NOUN
ejpam-7172	257	31	0.8	0.8	NUM
ejpam-7172	257	32	,	,	PUNCT
ejpam-7172	257	33	p	p	NOUN
ejpam-7172	257	34	=	=	NOUN
ejpam-7172	257	35	0.9	0.9	NUM
ejpam-7172	257	36	,	,	PUNCT
ejpam-7172	257	37	δ	δ	PROPN
ejpam-7172	257	38	=	=	SYM
ejpam-7172	257	39	1	1	NUM
ejpam-7172	257	40	,	,	PUNCT
ejpam-7172	257	41	x	x	SYM
ejpam-7172	257	42	∈	∈	PROPN
ejpam-7172	258	1	[	[	X
ejpam-7172	258	2	0	0	NUM
ejpam-7172	258	3	,	,	PUNCT
ejpam-7172	258	4	4	4	NUM
ejpam-7172	258	5	]	]	PUNCT
ejpam-7172	258	6	,	,	PUNCT
ejpam-7172	258	7	t	t	PROPN
ejpam-7172	258	8	∈	∈	PROPN
ejpam-7172	259	1	[	[	X
ejpam-7172	259	2	0	0	NUM
ejpam-7172	259	3	,	,	PUNCT
ejpam-7172	259	4	2.5	2.5	NUM
ejpam-7172	259	5	]	]	PUNCT
ejpam-7172	259	6	.	.	PUNCT
ejpam-7172	260	1	w.	w.	PROPN
ejpam-7172	260	2	w.	w.	PROPN
ejpam-7172	260	3	mohammed	mohammed	PROPN
ejpam-7172	260	4	et	et	PROPN
ejpam-7172	260	5	al	al	PROPN
ejpam-7172	260	6	.	.	PUNCT
ejpam-7172	260	7	/	/	SYM
ejpam-7172	260	8	eur	eur	PROPN
ejpam-7172	260	9	.	.	PUNCT
ejpam-7172	261	1	j.	j.	PROPN
ejpam-7172	261	2	pure	pure	PROPN
ejpam-7172	261	3	appl	appl	PROPN
ejpam-7172	261	4	.	.	PROPN
ejpam-7172	261	5	math	math	PROPN
ejpam-7172	261	6	,	,	PUNCT
ejpam-7172	261	7	18	18	NUM
ejpam-7172	261	8	(	(	PUNCT
ejpam-7172	261	9	4	4	NUM
ejpam-7172	261	10	)	)	PUNCT
ejpam-7172	261	11	(	(	PUNCT
ejpam-7172	261	12	2025	2025	NUM
ejpam-7172	261	13	)	)	PUNCT
ejpam-7172	261	14	,	,	PUNCT
ejpam-7172	261	15	7172	7172	NUM
ejpam-7172	261	16	14	14	NUM
ejpam-7172	261	17	of	of	ADP
ejpam-7172	261	18	22	22	NUM
ejpam-7172	261	19	(	(	PUNCT
ejpam-7172	261	20	a	a	NOUN
ejpam-7172	261	21	)	)	PUNCT
ejpam-7172	261	22	ρ	ρ	NOUN
ejpam-7172	261	23	=	=	SYM
ejpam-7172	261	24	0	0	PUNCT
ejpam-7172	261	25	(	(	PUNCT
ejpam-7172	261	26	b	b	NOUN
ejpam-7172	261	27	)	)	PUNCT
ejpam-7172	261	28	ρ	ρ	PROPN
ejpam-7172	261	29	=	=	SYM
ejpam-7172	261	30	0.1	0.1	NUM
ejpam-7172	261	31	(	(	PUNCT
ejpam-7172	261	32	c	c	NOUN
ejpam-7172	261	33	)	)	PUNCT
ejpam-7172	261	34	ρ	ρ	PROPN
ejpam-7172	261	35	=	=	SYM
ejpam-7172	261	36	0.3	0.3	NUM
ejpam-7172	261	37	(	(	PUNCT
ejpam-7172	261	38	d	d	NOUN
ejpam-7172	261	39	)	)	PUNCT
ejpam-7172	261	40	ρ	ρ	PROPN
ejpam-7172	261	41	=	=	SYM
ejpam-7172	261	42	1	1	NUM
ejpam-7172	261	43	(	(	PUNCT
ejpam-7172	261	44	e	e	NOUN
ejpam-7172	261	45	)	)	PUNCT
ejpam-7172	261	46	ρ	ρ	PROPN
ejpam-7172	261	47	=	=	SYM
ejpam-7172	261	48	2	2	NUM
ejpam-7172	261	49	(	(	PUNCT
ejpam-7172	261	50	f	f	X
ejpam-7172	261	51	)	)	PUNCT
ejpam-7172	261	52	ρ	ρ	PROPN
ejpam-7172	261	53	=	=	SYM
ejpam-7172	261	54	0	0	NUM
ejpam-7172	261	55	,	,	PUNCT
ejpam-7172	261	56	0.1	0.1	NUM
ejpam-7172	261	57	,	,	PUNCT
ejpam-7172	261	58	0.3	0.3	NUM
ejpam-7172	261	59	,	,	PUNCT
ejpam-7172	261	60	1	1	NUM
ejpam-7172	261	61	,	,	PUNCT
ejpam-7172	261	62	2	2	NUM
ejpam-7172	261	63	figure	figure	NOUN
ejpam-7172	261	64	3	3	NUM
ejpam-7172	261	65	.	.	PUNCT
ejpam-7172	261	66	(	(	PUNCT
ejpam-7172	261	67	a	a	DET
ejpam-7172	261	68	-	-	PUNCT
ejpam-7172	261	69	e	e	NOUN
ejpam-7172	261	70	)	)	PUNCT
ejpam-7172	261	71	3d	3d	NUM
ejpam-7172	261	72	profiles	profile	NOUN
ejpam-7172	261	73	of	of	ADP
ejpam-7172	261	74	the	the	DET
ejpam-7172	261	75	dark	dark	ADJ
ejpam-7172	261	76	soliton	soliton	NOUN
ejpam-7172	261	77	solution	solution	NOUN
ejpam-7172	261	78	y(x	y(x	PROPN
ejpam-7172	261	79	,	,	PUNCT
ejpam-7172	261	80	t	t	PROPN
ejpam-7172	261	81	)	)	PUNCT
ejpam-7172	261	82	of	of	ADP
ejpam-7172	261	83	eq	eq	PROPN
ejpam-7172	261	84	.	.	PUNCT
ejpam-7172	262	1	(	(	PUNCT
ejpam-7172	262	2	37	37	NUM
ejpam-7172	262	3	)	)	PUNCT
ejpam-7172	262	4	for	for	ADP
ejpam-7172	262	5	different	different	ADJ
ejpam-7172	262	6	noise	noise	NOUN
ejpam-7172	262	7	strengths	strength	NOUN
ejpam-7172	262	8	ρ	ρ	NOUN
ejpam-7172	262	9	=	=	SYM
ejpam-7172	262	10	0	0	NUM
ejpam-7172	262	11	,	,	PUNCT
ejpam-7172	262	12	0.1	0.1	NUM
ejpam-7172	262	13	,	,	PUNCT
ejpam-7172	262	14	0.3	0.3	NUM
ejpam-7172	262	15	,	,	PUNCT
ejpam-7172	262	16	1	1	NUM
ejpam-7172	262	17	,	,	PUNCT
ejpam-7172	262	18	2	2	NUM
ejpam-7172	262	19	.	.	NUM
ejpam-7172	262	20	thes	thes	PROPN
ejpam-7172	262	21	plots	plot	NOUN
ejpam-7172	262	22	are	be	AUX
ejpam-7172	262	23	drawn	draw	VERB
ejpam-7172	262	24	when	when	SCONJ
ejpam-7172	262	25	k	k	PROPN
ejpam-7172	262	26	=	=	SYM
ejpam-7172	262	27	−1	−1	PROPN
ejpam-7172	262	28	,	,	PUNCT
ejpam-7172	262	29	q	q	NOUN
ejpam-7172	262	30	=	=	NOUN
ejpam-7172	262	31	0.8	0.8	NUM
ejpam-7172	262	32	,	,	PUNCT
ejpam-7172	262	33	p	p	NOUN
ejpam-7172	262	34	=	=	NOUN
ejpam-7172	262	35	0.9	0.9	NUM
ejpam-7172	262	36	,	,	PUNCT
ejpam-7172	262	37	δ	δ	PROPN
ejpam-7172	262	38	=	=	SYM
ejpam-7172	262	39	1	1	NUM
ejpam-7172	262	40	,	,	PUNCT
ejpam-7172	262	41	x	x	SYM
ejpam-7172	262	42	∈	∈	PROPN
ejpam-7172	263	1	[	[	X
ejpam-7172	263	2	0	0	NUM
ejpam-7172	263	3	,	,	PUNCT
ejpam-7172	263	4	4	4	NUM
ejpam-7172	263	5	]	]	PUNCT
ejpam-7172	263	6	,	,	PUNCT
ejpam-7172	263	7	t	t	PROPN
ejpam-7172	263	8	∈	∈	PROPN
ejpam-7172	264	1	[	[	X
ejpam-7172	264	2	0	0	NUM
ejpam-7172	264	3	,	,	PUNCT
ejpam-7172	264	4	2.5	2.5	NUM
ejpam-7172	264	5	]	]	PUNCT
ejpam-7172	264	6	.	.	PUNCT
ejpam-7172	265	1	w.	w.	PROPN
ejpam-7172	265	2	w.	w.	PROPN
ejpam-7172	265	3	mohammed	mohammed	PROPN
ejpam-7172	265	4	et	et	PROPN
ejpam-7172	265	5	al	al	PROPN
ejpam-7172	265	6	.	.	PUNCT
ejpam-7172	265	7	/	/	SYM
ejpam-7172	265	8	eur	eur	PROPN
ejpam-7172	265	9	.	.	PUNCT
ejpam-7172	266	1	j.	j.	PROPN
ejpam-7172	266	2	pure	pure	PROPN
ejpam-7172	266	3	appl	appl	PROPN
ejpam-7172	266	4	.	.	PROPN
ejpam-7172	266	5	math	math	PROPN
ejpam-7172	266	6	,	,	PUNCT
ejpam-7172	266	7	18	18	NUM
ejpam-7172	266	8	(	(	PUNCT
ejpam-7172	266	9	4	4	NUM
ejpam-7172	266	10	)	)	PUNCT
ejpam-7172	266	11	(	(	PUNCT
ejpam-7172	266	12	2025	2025	NUM
ejpam-7172	266	13	)	)	PUNCT
ejpam-7172	266	14	,	,	PUNCT
ejpam-7172	266	15	7172	7172	NUM
ejpam-7172	266	16	15	15	NUM
ejpam-7172	266	17	of	of	ADP
ejpam-7172	266	18	22	22	NUM
ejpam-7172	266	19	(	(	PUNCT
ejpam-7172	266	20	a	a	NOUN
ejpam-7172	266	21	)	)	PUNCT
ejpam-7172	266	22	ρ	ρ	NOUN
ejpam-7172	266	23	=	=	SYM
ejpam-7172	266	24	0	0	PUNCT
ejpam-7172	266	25	(	(	PUNCT
ejpam-7172	266	26	b	b	NOUN
ejpam-7172	266	27	)	)	PUNCT
ejpam-7172	266	28	ρ	ρ	PROPN
ejpam-7172	266	29	=	=	SYM
ejpam-7172	266	30	0.1	0.1	NUM
ejpam-7172	266	31	(	(	PUNCT
ejpam-7172	266	32	c	c	NOUN
ejpam-7172	266	33	)	)	PUNCT
ejpam-7172	266	34	ρ	ρ	PROPN
ejpam-7172	266	35	=	=	SYM
ejpam-7172	266	36	0.3	0.3	NUM
ejpam-7172	266	37	(	(	PUNCT
ejpam-7172	266	38	d	d	NOUN
ejpam-7172	266	39	)	)	PUNCT
ejpam-7172	266	40	ρ	ρ	PROPN
ejpam-7172	266	41	=	=	SYM
ejpam-7172	266	42	1	1	NUM
ejpam-7172	266	43	(	(	PUNCT
ejpam-7172	266	44	e	e	NOUN
ejpam-7172	266	45	)	)	PUNCT
ejpam-7172	266	46	ρ	ρ	PROPN
ejpam-7172	266	47	=	=	SYM
ejpam-7172	266	48	2	2	NUM
ejpam-7172	266	49	(	(	PUNCT
ejpam-7172	266	50	f	f	X
ejpam-7172	266	51	)	)	PUNCT
ejpam-7172	266	52	ρ	ρ	PROPN
ejpam-7172	266	53	=	=	SYM
ejpam-7172	266	54	0	0	NUM
ejpam-7172	266	55	,	,	PUNCT
ejpam-7172	266	56	0.1	0.1	NUM
ejpam-7172	266	57	,	,	PUNCT
ejpam-7172	266	58	0.3	0.3	NUM
ejpam-7172	266	59	,	,	PUNCT
ejpam-7172	266	60	1	1	NUM
ejpam-7172	266	61	,	,	PUNCT
ejpam-7172	266	62	2	2	NUM
ejpam-7172	266	63	figure	figure	NOUN
ejpam-7172	266	64	4.(a	4.(a	NUM
ejpam-7172	266	65	-	-	PUNCT
ejpam-7172	266	66	e	e	NOUN
ejpam-7172	266	67	)	)	PUNCT
ejpam-7172	266	68	the	the	DET
ejpam-7172	266	69	3d	3d	PROPN
ejpam-7172	266	70	plots	plot	NOUN
ejpam-7172	266	71	present	present	VERB
ejpam-7172	266	72	the	the	DET
ejpam-7172	266	73	dark	dark	ADJ
ejpam-7172	266	74	soliton	soliton	NOUN
ejpam-7172	266	75	solution	solution	NOUN
ejpam-7172	266	76	z(x	z(x	PROPN
ejpam-7172	266	77	,	,	PUNCT
ejpam-7172	266	78	t	t	PROPN
ejpam-7172	266	79	)	)	PUNCT
ejpam-7172	266	80	of	of	ADP
ejpam-7172	266	81	eq	eq	PROPN
ejpam-7172	266	82	.	.	PUNCT
ejpam-7172	267	1	(	(	PUNCT
ejpam-7172	267	2	38	38	NUM
ejpam-7172	267	3	)	)	PUNCT
ejpam-7172	267	4	under	under	ADP
ejpam-7172	267	5	varying	vary	VERB
ejpam-7172	267	6	noise	noise	NOUN
ejpam-7172	267	7	intensities	intensity	NOUN
ejpam-7172	267	8	ρ	ρ	X
ejpam-7172	267	9	=	=	SYM
ejpam-7172	267	10	0	0	NUM
ejpam-7172	267	11	,	,	PUNCT
ejpam-7172	267	12	0.1	0.1	NUM
ejpam-7172	267	13	,	,	PUNCT
ejpam-7172	267	14	0.3	0.3	NUM
ejpam-7172	267	15	,	,	PUNCT
ejpam-7172	267	16	1	1	NUM
ejpam-7172	267	17	,	,	PUNCT
ejpam-7172	267	18	2	2	NUM
ejpam-7172	267	19	.	.	NUM
ejpam-7172	267	20	thes	thes	PROPN
ejpam-7172	267	21	plots	plot	NOUN
ejpam-7172	267	22	are	be	AUX
ejpam-7172	267	23	drawn	draw	VERB
ejpam-7172	267	24	when	when	SCONJ
ejpam-7172	267	25	k	k	PROPN
ejpam-7172	267	26	=	=	SYM
ejpam-7172	267	27	−1	−1	PROPN
ejpam-7172	267	28	,	,	PUNCT
ejpam-7172	267	29	q	q	NOUN
ejpam-7172	267	30	=	=	NOUN
ejpam-7172	267	31	0.8	0.8	NUM
ejpam-7172	267	32	,	,	PUNCT
ejpam-7172	267	33	p	p	NOUN
ejpam-7172	267	34	=	=	NOUN
ejpam-7172	267	35	0.9	0.9	NUM
ejpam-7172	267	36	,	,	PUNCT
ejpam-7172	267	37	δ	δ	PROPN
ejpam-7172	267	38	=	=	SYM
ejpam-7172	267	39	1	1	NUM
ejpam-7172	267	40	,	,	PUNCT
ejpam-7172	267	41	x	x	SYM
ejpam-7172	267	42	∈	∈	PROPN
ejpam-7172	268	1	[	[	X
ejpam-7172	268	2	0	0	NUM
ejpam-7172	268	3	,	,	PUNCT
ejpam-7172	268	4	4	4	NUM
ejpam-7172	268	5	]	]	PUNCT
ejpam-7172	268	6	,	,	PUNCT
ejpam-7172	268	7	t	t	PROPN
ejpam-7172	268	8	∈	∈	PROPN
ejpam-7172	269	1	[	[	X
ejpam-7172	269	2	0	0	NUM
ejpam-7172	269	3	,	,	PUNCT
ejpam-7172	269	4	2.5	2.5	NUM
ejpam-7172	269	5	]	]	PUNCT
ejpam-7172	269	6	.	.	PUNCT
ejpam-7172	270	1	now	now	ADV
ejpam-7172	270	2	,	,	PUNCT
ejpam-7172	270	3	figures	figure	VERB
ejpam-7172	270	4	1	1	NUM
ejpam-7172	270	5	-	-	SYM
ejpam-7172	270	6	4	4	NUM
ejpam-7172	270	7	show	show	VERB
ejpam-7172	270	8	some	some	DET
ejpam-7172	270	9	different	different	ADJ
ejpam-7172	270	10	kinds	kind	NOUN
ejpam-7172	270	11	of	of	ADP
ejpam-7172	270	12	solutions	solution	NOUN
ejpam-7172	270	13	,	,	PUNCT
ejpam-7172	270	14	such	such	ADJ
ejpam-7172	270	15	as	as	ADP
ejpam-7172	270	16	bright	bright	ADJ
ejpam-7172	270	17	soliton	soliton	NOUN
ejpam-7172	270	18	,	,	PUNCT
ejpam-7172	270	19	dark	dark	ADJ
ejpam-7172	270	20	soliton	soliton	NOUN
ejpam-7172	270	21	solutions	solution	NOUN
ejpam-7172	270	22	,	,	PUNCT
ejpam-7172	270	23	when	when	SCONJ
ejpam-7172	270	24	the	the	DET
ejpam-7172	270	25	multiplicative	multiplicative	ADJ
ejpam-7172	270	26	noise	noise	NOUN
ejpam-7172	270	27	is	be	AUX
ejpam-7172	270	28	disregarded	disregard	VERB
ejpam-7172	270	29	(	(	PUNCT
ejpam-7172	270	30	i.e.	i.e.	X
ejpam-7172	270	31	when	when	SCONJ
ejpam-7172	270	32	ρ	ρ	PROPN
ejpam-7172	270	33	=	=	NOUN
ejpam-7172	270	34	0	0	NUM
ejpam-7172	270	35	)	)	PUNCT
ejpam-7172	270	36	.	.	PUNCT
ejpam-7172	271	1	when	when	SCONJ
ejpam-7172	271	2	noise	noise	NOUN
ejpam-7172	271	3	is	be	AUX
ejpam-7172	271	4	introduced	introduce	VERB
ejpam-7172	271	5	and	and	CCONJ
ejpam-7172	271	6	its	its	PRON
ejpam-7172	271	7	amplitude	amplitude	NOUN
ejpam-7172	271	8	is	be	AUX
ejpam-7172	271	9	increased	increase	VERB
ejpam-7172	271	10	by	by	ADP
ejpam-7172	271	11	ρ	ρ	PROPN
ejpam-7172	271	12	=	=	SYM
ejpam-7172	271	13	0.1	0.1	NUM
ejpam-7172	271	14	,	,	PUNCT
ejpam-7172	271	15	0.3	0.3	NUM
ejpam-7172	271	16	,	,	PUNCT
ejpam-7172	271	17	1	1	NUM
ejpam-7172	271	18	,	,	PUNCT
ejpam-7172	271	19	2	2	NUM
ejpam-7172	271	20	,	,	PUNCT
ejpam-7172	271	21	the	the	DET
ejpam-7172	271	22	surface	surface	NOUN
ejpam-7172	271	23	flattens	flatten	VERB
ejpam-7172	271	24	out	out	ADP
ejpam-7172	271	25	after	after	ADP
ejpam-7172	271	26	brief	brief	ADJ
ejpam-7172	271	27	transit	transit	NOUN
ejpam-7172	271	28	patterns	pattern	NOUN
ejpam-7172	271	29	.	.	PUNCT
ejpam-7172	272	1	this	this	PRON
ejpam-7172	272	2	indicates	indicate	VERB
ejpam-7172	272	3	that	that	SCONJ
ejpam-7172	272	4	the	the	DET
ejpam-7172	272	5	solutions	solution	NOUN
ejpam-7172	272	6	of	of	ADP
ejpam-7172	272	7	the	the	DET
ejpam-7172	272	8	scs	scs	PROPN
ejpam-7172	272	9	-	-	PUNCT
ejpam-7172	272	10	kdves	kdve	NOUN
ejpam-7172	272	11	-	-	PUNCT
ejpam-7172	272	12	cdo	cdo	NOUN
ejpam-7172	272	13	w.	w.	PROPN
ejpam-7172	272	14	w.	w.	PROPN
ejpam-7172	272	15	mohammed	mohammed	PROPN
ejpam-7172	272	16	et	et	PROPN
ejpam-7172	272	17	al	al	PROPN
ejpam-7172	272	18	.	.	PUNCT
ejpam-7172	272	19	/	/	SYM
ejpam-7172	272	20	eur	eur	PROPN
ejpam-7172	272	21	.	.	PUNCT
ejpam-7172	273	1	j.	j.	PROPN
ejpam-7172	273	2	pure	pure	PROPN
ejpam-7172	273	3	appl	appl	PROPN
ejpam-7172	273	4	.	.	PROPN
ejpam-7172	273	5	math	math	PROPN
ejpam-7172	273	6	,	,	PUNCT
ejpam-7172	273	7	18	18	NUM
ejpam-7172	273	8	(	(	PUNCT
ejpam-7172	273	9	4	4	NUM
ejpam-7172	273	10	)	)	PUNCT
ejpam-7172	273	11	(	(	PUNCT
ejpam-7172	273	12	2025	2025	NUM
ejpam-7172	273	13	)	)	PUNCT
ejpam-7172	273	14	,	,	PUNCT
ejpam-7172	273	15	7172	7172	NUM
ejpam-7172	273	16	16	16	NUM
ejpam-7172	273	17	of	of	ADP
ejpam-7172	273	18	22	22	NUM
ejpam-7172	273	19	are	be	AUX
ejpam-7172	273	20	impacted	impact	VERB
ejpam-7172	273	21	by	by	ADP
ejpam-7172	273	22	multiplicative	multiplicative	ADJ
ejpam-7172	273	23	noise	noise	NOUN
ejpam-7172	273	24	and	and	CCONJ
ejpam-7172	273	25	are	be	AUX
ejpam-7172	273	26	kept	keep	VERB
ejpam-7172	273	27	stable	stable	ADJ
ejpam-7172	273	28	around	around	ADP
ejpam-7172	273	29	zero	zero	NUM
ejpam-7172	273	30	.	.	PUNCT
ejpam-7172	274	1	effect	effect	NOUN
ejpam-7172	274	2	of	of	ADP
ejpam-7172	274	3	fractional	fractional	ADJ
ejpam-7172	274	4	derivatives	derivative	NOUN
ejpam-7172	274	5	:	:	PUNCT
ejpam-7172	274	6	the	the	DET
ejpam-7172	274	7	presence	presence	NOUN
ejpam-7172	274	8	of	of	ADP
ejpam-7172	274	9	conformable	conformable	ADJ
ejpam-7172	274	10	derivative	derivative	ADJ
ejpam-7172	274	11	operator	operator	NOUN
ejpam-7172	274	12	in	in	ADP
ejpam-7172	274	13	the	the	DET
ejpam-7172	274	14	schrödinger	schrödinger	ADJ
ejpam-7172	274	15	-	-	PUNCT
ejpam-7172	274	16	kdv	kdv	NOUN
ejpam-7172	274	17	equation	equation	NOUN
ejpam-7172	274	18	allows	allow	VERB
ejpam-7172	274	19	for	for	ADP
ejpam-7172	274	20	a	a	DET
ejpam-7172	274	21	more	more	ADV
ejpam-7172	274	22	accurate	accurate	ADJ
ejpam-7172	274	23	and	and	CCONJ
ejpam-7172	274	24	comprehensive	comprehensive	ADJ
ejpam-7172	274	25	description	description	NOUN
ejpam-7172	274	26	of	of	ADP
ejpam-7172	274	27	wave	wave	NOUN
ejpam-7172	274	28	propagation	propagation	NOUN
ejpam-7172	274	29	in	in	ADP
ejpam-7172	274	30	one	one	NUM
ejpam-7172	274	31	-	-	PUNCT
ejpam-7172	274	32	dimensional	dimensional	ADJ
ejpam-7172	274	33	media	medium	NOUN
ejpam-7172	274	34	.	.	PUNCT
ejpam-7172	275	1	by	by	ADP
ejpam-7172	275	2	incorporating	incorporate	VERB
ejpam-7172	275	3	fractional	fractional	ADJ
ejpam-7172	275	4	derivatives	derivative	NOUN
ejpam-7172	275	5	,	,	PUNCT
ejpam-7172	275	6	researchers	researcher	NOUN
ejpam-7172	275	7	can	can	AUX
ejpam-7172	275	8	better	well	ADV
ejpam-7172	275	9	understand	understand	VERB
ejpam-7172	275	10	the	the	DET
ejpam-7172	275	11	complex	complex	ADJ
ejpam-7172	275	12	dynamics	dynamic	NOUN
ejpam-7172	275	13	and	and	CCONJ
ejpam-7172	275	14	emergent	emergent	ADJ
ejpam-7172	275	15	behavior	behavior	NOUN
ejpam-7172	275	16	that	that	PRON
ejpam-7172	275	17	arise	arise	VERB
ejpam-7172	275	18	in	in	ADP
ejpam-7172	275	19	nonlinear	nonlinear	ADJ
ejpam-7172	275	20	systems	system	NOUN
ejpam-7172	275	21	.	.	PUNCT
ejpam-7172	276	1	this	this	PRON
ejpam-7172	276	2	highlights	highlight	VERB
ejpam-7172	276	3	the	the	DET
ejpam-7172	276	4	importance	importance	NOUN
ejpam-7172	276	5	of	of	ADP
ejpam-7172	276	6	considering	consider	VERB
ejpam-7172	276	7	fractional	fractional	ADJ
ejpam-7172	276	8	calculus	calculus	NOUN
ejpam-7172	276	9	in	in	ADP
ejpam-7172	276	10	the	the	DET
ejpam-7172	276	11	study	study	NOUN
ejpam-7172	276	12	of	of	ADP
ejpam-7172	276	13	physical	physical	ADJ
ejpam-7172	276	14	phenomena	phenomenon	NOUN
ejpam-7172	276	15	,	,	PUNCT
ejpam-7172	276	16	and	and	CCONJ
ejpam-7172	276	17	suggests	suggest	VERB
ejpam-7172	276	18	that	that	SCONJ
ejpam-7172	276	19	it	it	PRON
ejpam-7172	276	20	may	may	AUX
ejpam-7172	276	21	play	play	VERB
ejpam-7172	276	22	a	a	DET
ejpam-7172	276	23	key	key	ADJ
ejpam-7172	276	24	role	role	NOUN
ejpam-7172	276	25	in	in	ADP
ejpam-7172	276	26	the	the	DET
ejpam-7172	276	27	development	development	NOUN
ejpam-7172	276	28	of	of	ADP
ejpam-7172	276	29	future	future	ADJ
ejpam-7172	276	30	models	model	NOUN
ejpam-7172	276	31	and	and	CCONJ
ejpam-7172	276	32	theories	theory	NOUN
ejpam-7172	276	33	in	in	ADP
ejpam-7172	276	34	physics	physics	NOUN
ejpam-7172	276	35	and	and	CCONJ
ejpam-7172	276	36	applied	apply	VERB
ejpam-7172	276	37	mathematics	mathematic	NOUN
ejpam-7172	276	38	.	.	PUNCT
ejpam-7172	277	1	the	the	DET
ejpam-7172	277	2	leftward	leftward	NOUN
ejpam-7172	277	3	displacement	displacement	NOUN
ejpam-7172	277	4	of	of	ADP
ejpam-7172	277	5	wave	wave	NOUN
ejpam-7172	277	6	profiles	profile	NOUN
ejpam-7172	277	7	with	with	ADP
ejpam-7172	277	8	decreasing	decrease	VERB
ejpam-7172	277	9	fractional	fractional	ADJ
ejpam-7172	277	10	order	order	NOUN
ejpam-7172	277	11	α	α	PRON
ejpam-7172	277	12	signifies	signify	VERB
ejpam-7172	277	13	a	a	DET
ejpam-7172	277	14	fundamental	fundamental	ADJ
ejpam-7172	277	15	alteration	alteration	NOUN
ejpam-7172	277	16	of	of	ADP
ejpam-7172	277	17	propagation	propagation	NOUN
ejpam-7172	277	18	dynamics	dynamic	NOUN
ejpam-7172	277	19	,	,	PUNCT
ejpam-7172	277	20	in	in	ADP
ejpam-7172	277	21	direct	direct	ADJ
ejpam-7172	277	22	result	result	NOUN
ejpam-7172	277	23	of	of	ADP
ejpam-7172	277	24	the	the	DET
ejpam-7172	277	25	memory	memory	NOUN
ejpam-7172	277	26	and	and	CCONJ
ejpam-7172	277	27	hereditary	hereditary	ADJ
ejpam-7172	277	28	effects	effect	NOUN
ejpam-7172	277	29	introduced	introduce	VERB
ejpam-7172	277	30	by	by	ADP
ejpam-7172	277	31	the	the	DET
ejpam-7172	277	32	fractional	fractional	ADJ
ejpam-7172	277	33	derivative	derivative	NOUN
ejpam-7172	277	34	.	.	PUNCT
ejpam-7172	278	1	physically	physically	ADV
ejpam-7172	278	2	,	,	PUNCT
ejpam-7172	278	3	the	the	DET
ejpam-7172	278	4	displacement	displacement	NOUN
ejpam-7172	278	5	reflects	reflect	VERB
ejpam-7172	278	6	the	the	DET
ejpam-7172	278	7	reduction	reduction	NOUN
ejpam-7172	278	8	of	of	ADP
ejpam-7172	278	9	the	the	DET
ejpam-7172	278	10	effective	effective	ADJ
ejpam-7172	278	11	wave	wave	NOUN
ejpam-7172	278	12	speed	speed	NOUN
ejpam-7172	278	13	and	and	CCONJ
ejpam-7172	278	14	the	the	DET
ejpam-7172	278	15	enhancement	enhancement	NOUN
ejpam-7172	278	16	of	of	ADP
ejpam-7172	278	17	attenuation	attenuation	NOUN
ejpam-7172	278	18	,	,	PUNCT
ejpam-7172	278	19	as	as	SCONJ
ejpam-7172	278	20	the	the	DET
ejpam-7172	278	21	non	non	ADJ
ejpam-7172	278	22	-	-	ADJ
ejpam-7172	278	23	local	local	ADJ
ejpam-7172	278	24	operator	operator	NOUN
ejpam-7172	278	25	∂α	∂α	PROPN
ejpam-7172	278	26	∂tα	∂tα	PROPN
ejpam-7172	278	27	imposes	impose	VERB
ejpam-7172	278	28	more	more	ADJ
ejpam-7172	278	29	dissipation	dissipation	NOUN
ejpam-7172	278	30	and	and	CCONJ
ejpam-7172	278	31	frequency	frequency	NOUN
ejpam-7172	278	32	-	-	PUNCT
ejpam-7172	278	33	dependent	dependent	ADJ
ejpam-7172	278	34	dispersion	dispersion	NOUN
ejpam-7172	278	35	,	,	PUNCT
ejpam-7172	278	36	characteristics	characteristic	NOUN
ejpam-7172	278	37	shared	share	VERB
ejpam-7172	278	38	with	with	ADP
ejpam-7172	278	39	the	the	DET
ejpam-7172	278	40	propagation	propagation	NOUN
ejpam-7172	278	41	of	of	ADP
ejpam-7172	278	42	waves	wave	NOUN
ejpam-7172	278	43	in	in	ADP
ejpam-7172	278	44	complex	complex	ADJ
ejpam-7172	278	45	viscoelastic	viscoelastic	ADJ
ejpam-7172	278	46	media	medium	NOUN
ejpam-7172	278	47	.	.	PUNCT
ejpam-7172	279	1	mathematically	mathematically	ADV
ejpam-7172	279	2	,	,	PUNCT
ejpam-7172	279	3	the	the	DET
ejpam-7172	279	4	enhanced	enhanced	ADJ
ejpam-7172	279	5	sensitivity	sensitivity	NOUN
ejpam-7172	279	6	of	of	ADP
ejpam-7172	279	7	the	the	DET
ejpam-7172	279	8	system	system	NOUN
ejpam-7172	279	9	to	to	ADP
ejpam-7172	279	10	its	its	PRON
ejpam-7172	279	11	previous	previous	ADJ
ejpam-7172	279	12	history	history	NOUN
ejpam-7172	279	13	hinders	hinder	VERB
ejpam-7172	279	14	the	the	DET
ejpam-7172	279	15	advancement	advancement	NOUN
ejpam-7172	279	16	of	of	ADP
ejpam-7172	279	17	the	the	DET
ejpam-7172	279	18	wave	wave	NOUN
ejpam-7172	279	19	,	,	PUNCT
ejpam-7172	279	20	which	which	PRON
ejpam-7172	279	21	appears	appear	VERB
ejpam-7172	279	22	as	as	ADP
ejpam-7172	279	23	an	an	DET
ejpam-7172	279	24	apparent	apparent	ADJ
ejpam-7172	279	25	forward	forward	ADJ
ejpam-7172	279	26	shift	shift	NOUN
ejpam-7172	279	27	of	of	ADP
ejpam-7172	279	28	the	the	DET
ejpam-7172	279	29	waveform	waveform	NOUN
ejpam-7172	279	30	that	that	PRON
ejpam-7172	279	31	demonstrates	demonstrate	VERB
ejpam-7172	279	32	the	the	DET
ejpam-7172	279	33	model	model	NOUN
ejpam-7172	279	34	’s	’s	PART
ejpam-7172	279	35	ability	ability	NOUN
ejpam-7172	279	36	to	to	PART
ejpam-7172	279	37	capture	capture	VERB
ejpam-7172	279	38	anomalous	anomalous	ADJ
ejpam-7172	279	39	transport	transport	NOUN
ejpam-7172	279	40	behavior	behavior	NOUN
ejpam-7172	279	41	.	.	PUNCT
ejpam-7172	280	1	now	now	ADV
ejpam-7172	280	2	,	,	PUNCT
ejpam-7172	280	3	let	let	VERB
ejpam-7172	280	4	us	we	PRON
ejpam-7172	280	5	show	show	VERB
ejpam-7172	280	6	the	the	DET
ejpam-7172	280	7	effect	effect	NOUN
ejpam-7172	280	8	of	of	ADP
ejpam-7172	280	9	the	the	DET
ejpam-7172	280	10	conformable	conformable	ADJ
ejpam-7172	280	11	derivative	derivative	ADJ
ejpam-7172	280	12	operator	operator	NOUN
ejpam-7172	280	13	on	on	ADP
ejpam-7172	280	14	the	the	DET
ejpam-7172	280	15	exact	exact	ADJ
ejpam-7172	280	16	solution	solution	NOUN
ejpam-7172	280	17	of	of	ADP
ejpam-7172	280	18	the	the	DET
ejpam-7172	280	19	scs	scs	PROPN
ejpam-7172	280	20	-	-	PUNCT
ejpam-7172	280	21	kdves	kdve	NOUN
ejpam-7172	280	22	-	-	PUNCT
ejpam-7172	280	23	cdo	cdo	NOUN
ejpam-7172	280	24	(	(	PUNCT
ejpam-7172	280	25	1	1	NUM
ejpam-7172	280	26	)	)	PUNCT
ejpam-7172	280	27	.	.	PUNCT
ejpam-7172	281	1	to	to	PART
ejpam-7172	281	2	address	address	VERB
ejpam-7172	281	3	the	the	DET
ejpam-7172	281	4	behavior	behavior	NOUN
ejpam-7172	281	5	of	of	ADP
ejpam-7172	281	6	some	some	PRON
ejpam-7172	281	7	of	of	ADP
ejpam-7172	281	8	the	the	DET
ejpam-7172	281	9	obtained	obtain	VERB
ejpam-7172	281	10	solutions	solution	NOUN
ejpam-7172	281	11	,	,	PUNCT
ejpam-7172	281	12	many	many	ADJ
ejpam-7172	281	13	figures	figure	NOUN
ejpam-7172	281	14	are	be	AUX
ejpam-7172	281	15	provided	provide	VERB
ejpam-7172	281	16	,	,	PUNCT
ejpam-7172	281	17	such	such	ADJ
ejpam-7172	281	18	as	as	ADP
ejpam-7172	281	19	eqs	eqs	X
ejpam-7172	281	20	(	(	PUNCT
ejpam-7172	281	21	29	29	NUM
ejpam-7172	281	22	)	)	PUNCT
ejpam-7172	281	23	,	,	PUNCT
ejpam-7172	281	24	(	(	PUNCT
ejpam-7172	281	25	30	30	NUM
ejpam-7172	281	26	)	)	PUNCT
ejpam-7172	281	27	,	,	PUNCT
ejpam-7172	281	28	(	(	PUNCT
ejpam-7172	281	29	37	37	NUM
ejpam-7172	281	30	)	)	PUNCT
ejpam-7172	281	31	,	,	PUNCT
ejpam-7172	281	32	and	and	CCONJ
ejpam-7172	281	33	(	(	PUNCT
ejpam-7172	281	34	38	38	NUM
ejpam-7172	281	35	)	)	PUNCT
ejpam-7172	281	36	as	as	SCONJ
ejpam-7172	281	37	follows	follow	VERB
ejpam-7172	281	38	:	:	PUNCT
ejpam-7172	281	39	(	(	PUNCT
ejpam-7172	281	40	a	a	X
ejpam-7172	281	41	)	)	PUNCT
ejpam-7172	281	42	α	α	NOUN
ejpam-7172	281	43	=	=	SYM
ejpam-7172	281	44	1	1	NUM
ejpam-7172	281	45	,	,	PUNCT
ejpam-7172	281	46	ρ	ρ	PROPN
ejpam-7172	281	47	=	=	SYM
ejpam-7172	281	48	0	0	NUM
ejpam-7172	281	49	,	,	PUNCT
ejpam-7172	281	50	(	(	PUNCT
ejpam-7172	281	51	b	b	X
ejpam-7172	281	52	)	)	PUNCT
ejpam-7172	281	53	α	α	NOUN
ejpam-7172	281	54	=	=	SYM
ejpam-7172	281	55	0.8	0.8	NUM
ejpam-7172	281	56	,	,	PUNCT
ejpam-7172	281	57	ρ	ρ	PROPN
ejpam-7172	281	58	=	=	SYM
ejpam-7172	281	59	0	0	PROPN
ejpam-7172	281	60	,	,	PUNCT
ejpam-7172	281	61	w.	w.	PROPN
ejpam-7172	281	62	w.	w.	PROPN
ejpam-7172	281	63	mohammed	mohammed	PROPN
ejpam-7172	281	64	et	et	PROPN
ejpam-7172	281	65	al	al	PROPN
ejpam-7172	281	66	.	.	PUNCT
ejpam-7172	281	67	/	/	SYM
ejpam-7172	281	68	eur	eur	PROPN
ejpam-7172	281	69	.	.	PUNCT
ejpam-7172	282	1	j.	j.	PROPN
ejpam-7172	282	2	pure	pure	PROPN
ejpam-7172	282	3	appl	appl	PROPN
ejpam-7172	282	4	.	.	PROPN
ejpam-7172	282	5	math	math	PROPN
ejpam-7172	282	6	,	,	PUNCT
ejpam-7172	282	7	18	18	NUM
ejpam-7172	282	8	(	(	PUNCT
ejpam-7172	282	9	4	4	NUM
ejpam-7172	282	10	)	)	PUNCT
ejpam-7172	282	11	(	(	PUNCT
ejpam-7172	282	12	2025	2025	NUM
ejpam-7172	282	13	)	)	PUNCT
ejpam-7172	282	14	,	,	PUNCT
ejpam-7172	282	15	7172	7172	NUM
ejpam-7172	282	16	17	17	NUM
ejpam-7172	282	17	of	of	ADP
ejpam-7172	282	18	22	22	NUM
ejpam-7172	282	19	(	(	PUNCT
ejpam-7172	282	20	c	c	NOUN
ejpam-7172	282	21	)	)	PUNCT
ejpam-7172	282	22	α	α	NOUN
ejpam-7172	282	23	=	=	SYM
ejpam-7172	282	24	0.6	0.6	NUM
ejpam-7172	282	25	,	,	PUNCT
ejpam-7172	282	26	ρ	ρ	PROPN
ejpam-7172	282	27	=	=	SYM
ejpam-7172	282	28	0	0	NUM
ejpam-7172	282	29	,	,	PUNCT
ejpam-7172	282	30	(	(	PUNCT
ejpam-7172	282	31	d	d	X
ejpam-7172	282	32	)	)	PUNCT
ejpam-7172	282	33	α	α	NOUN
ejpam-7172	282	34	=	=	SYM
ejpam-7172	282	35	1	1	NUM
ejpam-7172	282	36	,	,	PUNCT
ejpam-7172	282	37	0.8	0.8	NUM
ejpam-7172	282	38	,	,	PUNCT
ejpam-7172	282	39	0.6	0.6	NUM
ejpam-7172	282	40	and	and	CCONJ
ejpam-7172	282	41	ρ	ρ	NUM
ejpam-7172	282	42	=	=	SYM
ejpam-7172	282	43	0	0	NUM
ejpam-7172	282	44	,	,	PUNCT
ejpam-7172	282	45	figure	figure	NOUN
ejpam-7172	282	46	5	5	NUM
ejpam-7172	282	47	.	.	PUNCT
ejpam-7172	283	1	(	(	PUNCT
ejpam-7172	283	2	a	a	DET
ejpam-7172	283	3	-	-	PUNCT
ejpam-7172	283	4	c	c	NOUN
ejpam-7172	283	5	)	)	PUNCT
ejpam-7172	283	6	exhibit	exhibit	VERB
ejpam-7172	283	7	3d	3d	NOUN
ejpam-7172	283	8	-	-	PUNCT
ejpam-7172	283	9	profile	profile	NOUN
ejpam-7172	283	10	of	of	ADP
ejpam-7172	283	11	solution	solution	NOUN
ejpam-7172	283	12	y(x	y(x	PROPN
ejpam-7172	283	13	,	,	PUNCT
ejpam-7172	283	14	t	t	PROPN
ejpam-7172	283	15	)	)	PUNCT
ejpam-7172	283	16	in	in	ADP
ejpam-7172	283	17	eq	eq	NOUN
ejpam-7172	283	18	(	(	PUNCT
ejpam-7172	283	19	29	29	NUM
ejpam-7172	283	20	)	)	PUNCT
ejpam-7172	283	21	with	with	ADP
ejpam-7172	283	22	k	k	PROPN
ejpam-7172	283	23	=	=	SYM
ejpam-7172	283	24	−1	−1	NOUN
ejpam-7172	283	25	,	,	PUNCT
ejpam-7172	283	26	q	q	NOUN
ejpam-7172	283	27	=	=	NOUN
ejpam-7172	283	28	0.8	0.8	NUM
ejpam-7172	283	29	,	,	PUNCT
ejpam-7172	283	30	p	p	NOUN
ejpam-7172	283	31	=	=	NOUN
ejpam-7172	283	32	0.9	0.9	NUM
ejpam-7172	283	33	,	,	PUNCT
ejpam-7172	283	34	δ	δ	PROPN
ejpam-7172	283	35	=	=	SYM
ejpam-7172	283	36	1	1	NUM
ejpam-7172	283	37	,	,	PUNCT
ejpam-7172	283	38	x	x	SYM
ejpam-7172	283	39	∈	∈	PROPN
ejpam-7172	284	1	[	[	X
ejpam-7172	284	2	0	0	NUM
ejpam-7172	284	3	,	,	PUNCT
ejpam-7172	284	4	4	4	NUM
ejpam-7172	284	5	]	]	PUNCT
ejpam-7172	284	6	,	,	PUNCT
ejpam-7172	284	7	t	t	PROPN
ejpam-7172	284	8	∈	∈	PROPN
ejpam-7172	285	1	[	[	X
ejpam-7172	285	2	0	0	NUM
ejpam-7172	285	3	,	,	PUNCT
ejpam-7172	285	4	2.5	2.5	NUM
ejpam-7172	285	5	]	]	PUNCT
ejpam-7172	285	6	and	and	CCONJ
ejpam-7172	285	7	ρ	ρ	NUM
ejpam-7172	285	8	=	=	SYM
ejpam-7172	285	9	0	0	NUM
ejpam-7172	285	10	,	,	PUNCT
ejpam-7172	285	11	(	(	PUNCT
ejpam-7172	285	12	d	d	X
ejpam-7172	285	13	)	)	PUNCT
ejpam-7172	285	14	shows	show	VERB
ejpam-7172	285	15	2d	2d	NOUN
ejpam-7172	285	16	-	-	PUNCT
ejpam-7172	285	17	profile	profile	NOUN
ejpam-7172	285	18	of	of	ADP
ejpam-7172	285	19	eq	eq	NOUN
ejpam-7172	285	20	.	.	PUNCT
ejpam-7172	286	1	(	(	PUNCT
ejpam-7172	286	2	29	29	NUM
ejpam-7172	286	3	)	)	PUNCT
ejpam-7172	286	4	with	with	ADP
ejpam-7172	286	5	different	different	ADJ
ejpam-7172	286	6	α	α	NOUN
ejpam-7172	286	7	demonstrating	demonstrate	VERB
ejpam-7172	286	8	how	how	SCONJ
ejpam-7172	286	9	reducing	reduce	VERB
ejpam-7172	286	10	the	the	DET
ejpam-7172	286	11	fractional	fractional	ADJ
ejpam-7172	286	12	derivative	derivative	ADJ
ejpam-7172	286	13	order	order	NOUN
ejpam-7172	286	14	α	α	NOUN
ejpam-7172	286	15	attenuates	attenuate	VERB
ejpam-7172	286	16	the	the	DET
ejpam-7172	286	17	wave	wave	NOUN
ejpam-7172	286	18	amplitude	amplitude	NOUN
ejpam-7172	286	19	and	and	CCONJ
ejpam-7172	286	20	smooths	smooth	VERB
ejpam-7172	286	21	the	the	DET
ejpam-7172	286	22	wave	wave	NOUN
ejpam-7172	286	23	profile	profile	NOUN
ejpam-7172	286	24	.	.	PUNCT
ejpam-7172	287	1	(	(	PUNCT
ejpam-7172	287	2	a	a	X
ejpam-7172	287	3	)	)	PUNCT
ejpam-7172	287	4	α	α	NOUN
ejpam-7172	287	5	=	=	SYM
ejpam-7172	287	6	1	1	NUM
ejpam-7172	287	7	,	,	PUNCT
ejpam-7172	287	8	ρ	ρ	PROPN
ejpam-7172	287	9	=	=	SYM
ejpam-7172	287	10	0	0	NUM
ejpam-7172	287	11	,	,	PUNCT
ejpam-7172	287	12	(	(	PUNCT
ejpam-7172	287	13	b	b	X
ejpam-7172	287	14	)	)	PUNCT
ejpam-7172	287	15	α	α	NOUN
ejpam-7172	287	16	=	=	SYM
ejpam-7172	287	17	0.8	0.8	NUM
ejpam-7172	287	18	,	,	PUNCT
ejpam-7172	287	19	ρ	ρ	PROPN
ejpam-7172	287	20	=	=	SYM
ejpam-7172	287	21	0	0	NUM
ejpam-7172	287	22	,	,	PUNCT
ejpam-7172	287	23	(	(	PUNCT
ejpam-7172	287	24	c	c	X
ejpam-7172	287	25	)	)	PUNCT
ejpam-7172	287	26	α	α	NOUN
ejpam-7172	287	27	=	=	SYM
ejpam-7172	287	28	0.6	0.6	NUM
ejpam-7172	287	29	,	,	PUNCT
ejpam-7172	287	30	ρ	ρ	PROPN
ejpam-7172	287	31	=	=	SYM
ejpam-7172	287	32	0	0	NUM
ejpam-7172	287	33	,	,	PUNCT
ejpam-7172	287	34	(	(	PUNCT
ejpam-7172	287	35	d	d	X
ejpam-7172	287	36	)	)	PUNCT
ejpam-7172	287	37	α	α	NOUN
ejpam-7172	287	38	=	=	SYM
ejpam-7172	287	39	1	1	NUM
ejpam-7172	287	40	,	,	PUNCT
ejpam-7172	287	41	0.8	0.8	NUM
ejpam-7172	287	42	,	,	PUNCT
ejpam-7172	287	43	0.6	0.6	NUM
ejpam-7172	287	44	and	and	CCONJ
ejpam-7172	287	45	ρ	ρ	NUM
ejpam-7172	287	46	=	=	SYM
ejpam-7172	287	47	0	0	NUM
ejpam-7172	287	48	,	,	PUNCT
ejpam-7172	287	49	figure	figure	VERB
ejpam-7172	287	50	6	6	NUM
ejpam-7172	287	51	.	.	PUNCT
ejpam-7172	288	1	(	(	PUNCT
ejpam-7172	288	2	a	a	DET
ejpam-7172	288	3	-	-	PUNCT
ejpam-7172	288	4	c	c	NOUN
ejpam-7172	288	5	)	)	PUNCT
ejpam-7172	288	6	exhibit	exhibit	VERB
ejpam-7172	288	7	3d	3d	NOUN
ejpam-7172	288	8	-	-	PUNCT
ejpam-7172	288	9	profile	profile	NOUN
ejpam-7172	288	10	of	of	ADP
ejpam-7172	288	11	solution	solution	NOUN
ejpam-7172	288	12	z(x	z(x	NUM
ejpam-7172	288	13	,	,	PUNCT
ejpam-7172	288	14	t	t	PROPN
ejpam-7172	288	15	)	)	PUNCT
ejpam-7172	288	16	in	in	ADP
ejpam-7172	288	17	eq	eq	ADP
ejpam-7172	288	18	.	.	PUNCT
ejpam-7172	289	1	(	(	PUNCT
ejpam-7172	289	2	30	30	NUM
ejpam-7172	289	3	)	)	PUNCT
ejpam-7172	289	4	with	with	ADP
ejpam-7172	289	5	k	k	PROPN
ejpam-7172	289	6	=	=	SYM
ejpam-7172	289	7	−1	−1	NOUN
ejpam-7172	289	8	,	,	PUNCT
ejpam-7172	289	9	q	q	NOUN
ejpam-7172	289	10	=	=	NOUN
ejpam-7172	289	11	0.8	0.8	NUM
ejpam-7172	289	12	,	,	PUNCT
ejpam-7172	289	13	p	p	NOUN
ejpam-7172	289	14	=	=	NOUN
ejpam-7172	289	15	0.9	0.9	NUM
ejpam-7172	289	16	,	,	PUNCT
ejpam-7172	289	17	δ	δ	PROPN
ejpam-7172	289	18	=	=	SYM
ejpam-7172	289	19	1	1	NUM
ejpam-7172	289	20	,	,	PUNCT
ejpam-7172	289	21	x	x	SYM
ejpam-7172	289	22	∈	∈	PROPN
ejpam-7172	290	1	[	[	X
ejpam-7172	290	2	0	0	NUM
ejpam-7172	290	3	,	,	PUNCT
ejpam-7172	290	4	4	4	NUM
ejpam-7172	290	5	]	]	PUNCT
ejpam-7172	290	6	,	,	PUNCT
ejpam-7172	290	7	t	t	PROPN
ejpam-7172	290	8	∈	∈	PROPN
ejpam-7172	291	1	[	[	X
ejpam-7172	291	2	0	0	NUM
ejpam-7172	291	3	,	,	PUNCT
ejpam-7172	291	4	2.5	2.5	NUM
ejpam-7172	291	5	]	]	PUNCT
ejpam-7172	291	6	and	and	CCONJ
ejpam-7172	291	7	ρ	ρ	NUM
ejpam-7172	291	8	=	=	SYM
ejpam-7172	291	9	0	0	PUNCT
ejpam-7172	291	10	(	(	PUNCT
ejpam-7172	291	11	d	d	NOUN
ejpam-7172	291	12	)	)	PUNCT
ejpam-7172	291	13	2d	2d	NOUN
ejpam-7172	291	14	profile	profile	NOUN
ejpam-7172	291	15	which	which	PRON
ejpam-7172	291	16	demonstrating	demonstrate	VERB
ejpam-7172	291	17	that	that	SCONJ
ejpam-7172	291	18	a	a	DET
ejpam-7172	291	19	reduction	reduction	NOUN
ejpam-7172	291	20	in	in	ADP
ejpam-7172	291	21	the	the	DET
ejpam-7172	291	22	fractional	fractional	ADJ
ejpam-7172	291	23	derivative	derivative	ADJ
ejpam-7172	291	24	order	order	NOUN
ejpam-7172	291	25	α	α	NOUN
ejpam-7172	291	26	introduces	introduce	VERB
ejpam-7172	291	27	significant	significant	ADJ
ejpam-7172	291	28	w.	w.	PROPN
ejpam-7172	291	29	w.	w.	PROPN
ejpam-7172	291	30	mohammed	mohammed	PROPN
ejpam-7172	291	31	et	et	PROPN
ejpam-7172	291	32	al	al	PROPN
ejpam-7172	291	33	.	.	PUNCT
ejpam-7172	291	34	/	/	SYM
ejpam-7172	291	35	eur	eur	PROPN
ejpam-7172	291	36	.	.	PUNCT
ejpam-7172	292	1	j.	j.	PROPN
ejpam-7172	292	2	pure	pure	PROPN
ejpam-7172	292	3	appl	appl	PROPN
ejpam-7172	292	4	.	.	PROPN
ejpam-7172	292	5	math	math	PROPN
ejpam-7172	292	6	,	,	PUNCT
ejpam-7172	292	7	18	18	NUM
ejpam-7172	292	8	(	(	PUNCT
ejpam-7172	292	9	4	4	NUM
ejpam-7172	292	10	)	)	PUNCT
ejpam-7172	292	11	(	(	PUNCT
ejpam-7172	292	12	2025	2025	NUM
ejpam-7172	292	13	)	)	PUNCT
ejpam-7172	292	14	,	,	PUNCT
ejpam-7172	292	15	7172	7172	NUM
ejpam-7172	292	16	18	18	NUM
ejpam-7172	292	17	of	of	ADP
ejpam-7172	292	18	22	22	NUM
ejpam-7172	292	19	diffusivity	diffusivity	NOUN
ejpam-7172	292	20	,	,	PUNCT
ejpam-7172	292	21	smoothing	smooth	VERB
ejpam-7172	292	22	sharp	sharp	ADJ
ejpam-7172	292	23	wave	wave	NOUN
ejpam-7172	292	24	features	feature	NOUN
ejpam-7172	292	25	and	and	CCONJ
ejpam-7172	292	26	reducing	reduce	VERB
ejpam-7172	292	27	peak	peak	NOUN
ejpam-7172	292	28	intensity	intensity	NOUN
ejpam-7172	292	29	,	,	PUNCT
ejpam-7172	292	30	which	which	PRON
ejpam-7172	292	31	reflects	reflect	VERB
ejpam-7172	292	32	enhanced	enhance	VERB
ejpam-7172	292	33	dissipative	dissipative	ADJ
ejpam-7172	292	34	behavior	behavior	NOUN
ejpam-7172	292	35	typical	typical	ADJ
ejpam-7172	292	36	of	of	ADP
ejpam-7172	292	37	fractional	fractional	ADJ
ejpam-7172	292	38	-	-	PUNCT
ejpam-7172	292	39	order	order	NOUN
ejpam-7172	292	40	systems	system	NOUN
ejpam-7172	292	41	in	in	ADP
ejpam-7172	292	42	physical	physical	ADJ
ejpam-7172	292	43	contexts	context	NOUN
ejpam-7172	292	44	such	such	ADJ
ejpam-7172	292	45	as	as	ADP
ejpam-7172	292	46	anomalous	anomalous	ADJ
ejpam-7172	292	47	diffusion	diffusion	NOUN
ejpam-7172	292	48	or	or	CCONJ
ejpam-7172	292	49	viscoelastic	viscoelastic	NOUN
ejpam-7172	292	50	damping	damp	VERB
ejpam-7172	292	51	for	for	ADP
ejpam-7172	292	52	eq	eq	PROPN
ejpam-7172	292	53	.	.	PUNCT
ejpam-7172	293	1	(	(	PUNCT
ejpam-7172	293	2	30	30	NUM
ejpam-7172	293	3	.	.	PUNCT
ejpam-7172	294	1	(	(	PUNCT
ejpam-7172	294	2	a	a	X
ejpam-7172	294	3	)	)	PUNCT
ejpam-7172	294	4	α	α	NOUN
ejpam-7172	294	5	=	=	SYM
ejpam-7172	294	6	1	1	NUM
ejpam-7172	294	7	,	,	PUNCT
ejpam-7172	294	8	ρ	ρ	PROPN
ejpam-7172	294	9	=	=	SYM
ejpam-7172	294	10	0	0	NUM
ejpam-7172	294	11	,	,	PUNCT
ejpam-7172	294	12	(	(	PUNCT
ejpam-7172	294	13	b	b	X
ejpam-7172	294	14	)	)	PUNCT
ejpam-7172	294	15	α	α	NOUN
ejpam-7172	294	16	=	=	SYM
ejpam-7172	294	17	0.8	0.8	NUM
ejpam-7172	294	18	,	,	PUNCT
ejpam-7172	294	19	ρ	ρ	PROPN
ejpam-7172	294	20	=	=	SYM
ejpam-7172	294	21	0	0	NUM
ejpam-7172	294	22	,	,	PUNCT
ejpam-7172	294	23	(	(	PUNCT
ejpam-7172	294	24	c	c	X
ejpam-7172	294	25	)	)	PUNCT
ejpam-7172	294	26	α	α	NOUN
ejpam-7172	294	27	=	=	SYM
ejpam-7172	294	28	0.6	0.6	NUM
ejpam-7172	294	29	,	,	PUNCT
ejpam-7172	294	30	ρ	ρ	PROPN
ejpam-7172	294	31	=	=	SYM
ejpam-7172	294	32	0	0	NUM
ejpam-7172	294	33	,	,	PUNCT
ejpam-7172	294	34	(	(	PUNCT
ejpam-7172	294	35	d	d	X
ejpam-7172	294	36	)	)	PUNCT
ejpam-7172	294	37	α	α	NOUN
ejpam-7172	294	38	=	=	SYM
ejpam-7172	294	39	1	1	NUM
ejpam-7172	294	40	,	,	PUNCT
ejpam-7172	294	41	0.8	0.8	NUM
ejpam-7172	294	42	,	,	PUNCT
ejpam-7172	294	43	0.6	0.6	NUM
ejpam-7172	294	44	and	and	CCONJ
ejpam-7172	294	45	ρ	ρ	NUM
ejpam-7172	294	46	=	=	SYM
ejpam-7172	294	47	0	0	NUM
ejpam-7172	294	48	figure	figure	NOUN
ejpam-7172	294	49	7	7	NUM
ejpam-7172	294	50	.	.	PUNCT
ejpam-7172	295	1	(	(	PUNCT
ejpam-7172	295	2	a	a	DET
ejpam-7172	295	3	-	-	PUNCT
ejpam-7172	295	4	c	c	NOUN
ejpam-7172	295	5	)	)	PUNCT
ejpam-7172	295	6	exhibit	exhibit	VERB
ejpam-7172	295	7	3d	3d	NOUN
ejpam-7172	295	8	-	-	PUNCT
ejpam-7172	295	9	profile	profile	NOUN
ejpam-7172	295	10	of	of	ADP
ejpam-7172	295	11	solution	solution	NOUN
ejpam-7172	295	12	y(x	y(x	PROPN
ejpam-7172	295	13	,	,	PUNCT
ejpam-7172	295	14	t	t	PROPN
ejpam-7172	295	15	)	)	PUNCT
ejpam-7172	295	16	in	in	ADP
ejpam-7172	295	17	eq	eq	ADP
ejpam-7172	295	18	.	.	PUNCT
ejpam-7172	296	1	(	(	PUNCT
ejpam-7172	296	2	37	37	NUM
ejpam-7172	296	3	)	)	PUNCT
ejpam-7172	296	4	with	with	ADP
ejpam-7172	296	5	k	k	PROPN
ejpam-7172	296	6	=	=	SYM
ejpam-7172	296	7	−1	−1	NOUN
ejpam-7172	296	8	,	,	PUNCT
ejpam-7172	296	9	q	q	NOUN
ejpam-7172	296	10	=	=	NOUN
ejpam-7172	296	11	0.8	0.8	NUM
ejpam-7172	296	12	,	,	PUNCT
ejpam-7172	296	13	p	p	NOUN
ejpam-7172	296	14	=	=	NOUN
ejpam-7172	296	15	0.9	0.9	NUM
ejpam-7172	296	16	,	,	PUNCT
ejpam-7172	296	17	δ	δ	PROPN
ejpam-7172	296	18	=	=	SYM
ejpam-7172	296	19	1	1	NUM
ejpam-7172	296	20	,	,	PUNCT
ejpam-7172	296	21	x	x	SYM
ejpam-7172	296	22	∈	∈	PROPN
ejpam-7172	297	1	[	[	X
ejpam-7172	297	2	0	0	NUM
ejpam-7172	297	3	,	,	PUNCT
ejpam-7172	297	4	4	4	NUM
ejpam-7172	297	5	]	]	PUNCT
ejpam-7172	297	6	,	,	PUNCT
ejpam-7172	297	7	t	t	PROPN
ejpam-7172	297	8	∈	∈	PROPN
ejpam-7172	298	1	[	[	X
ejpam-7172	298	2	0	0	NUM
ejpam-7172	298	3	,	,	PUNCT
ejpam-7172	298	4	2.5	2.5	NUM
ejpam-7172	298	5	]	]	PUNCT
ejpam-7172	298	6	and	and	CCONJ
ejpam-7172	298	7	ρ	ρ	NUM
ejpam-7172	298	8	=	=	SYM
ejpam-7172	298	9	0	0	PUNCT
ejpam-7172	298	10	(	(	PUNCT
ejpam-7172	298	11	d	d	NOUN
ejpam-7172	298	12	)	)	PUNCT
ejpam-7172	298	13	2d	2d	NOUN
ejpam-7172	298	14	profile	profile	NOUN
ejpam-7172	298	15	showing	show	VERB
ejpam-7172	298	16	that	that	SCONJ
ejpam-7172	298	17	decreasing	decrease	VERB
ejpam-7172	298	18	α	α	NOUN
ejpam-7172	298	19	dampens	dampen	VERB
ejpam-7172	298	20	wave	wave	NOUN
ejpam-7172	298	21	oscillations	oscillation	NOUN
ejpam-7172	298	22	and	and	CCONJ
ejpam-7172	298	23	flattens	flatten	VERB
ejpam-7172	298	24	the	the	DET
ejpam-7172	298	25	amplitude	amplitude	NOUN
ejpam-7172	298	26	of	of	ADP
ejpam-7172	298	27	eq	eq	PROPN
ejpam-7172	298	28	.	.	PUNCT
ejpam-7172	299	1	(	(	PUNCT
ejpam-7172	299	2	37	37	NUM
ejpam-7172	299	3	)	)	PUNCT
ejpam-7172	299	4	.	.	PUNCT
ejpam-7172	300	1	(	(	PUNCT
ejpam-7172	300	2	a)α	a)α	X
ejpam-7172	300	3	=	=	SYM
ejpam-7172	300	4	1	1	NUM
ejpam-7172	300	5	,	,	PUNCT
ejpam-7172	300	6	ρ	ρ	PROPN
ejpam-7172	300	7	=	=	SYM
ejpam-7172	300	8	0	0	NUM
ejpam-7172	300	9	,	,	PUNCT
ejpam-7172	300	10	(	(	PUNCT
ejpam-7172	300	11	b	b	X
ejpam-7172	300	12	)	)	PUNCT
ejpam-7172	300	13	α	α	NOUN
ejpam-7172	300	14	=	=	SYM
ejpam-7172	300	15	0.8	0.8	NUM
ejpam-7172	300	16	,	,	PUNCT
ejpam-7172	300	17	ρ	ρ	PROPN
ejpam-7172	300	18	=	=	SYM
ejpam-7172	300	19	0	0	PROPN
ejpam-7172	300	20	,	,	PUNCT
ejpam-7172	300	21	w.	w.	PROPN
ejpam-7172	300	22	w.	w.	PROPN
ejpam-7172	300	23	mohammed	mohammed	PROPN
ejpam-7172	300	24	et	et	PROPN
ejpam-7172	300	25	al	al	PROPN
ejpam-7172	300	26	.	.	PUNCT
ejpam-7172	300	27	/	/	SYM
ejpam-7172	300	28	eur	eur	PROPN
ejpam-7172	300	29	.	.	PUNCT
ejpam-7172	301	1	j.	j.	PROPN
ejpam-7172	301	2	pure	pure	PROPN
ejpam-7172	301	3	appl	appl	PROPN
ejpam-7172	301	4	.	.	PROPN
ejpam-7172	301	5	math	math	PROPN
ejpam-7172	301	6	,	,	PUNCT
ejpam-7172	301	7	18	18	NUM
ejpam-7172	301	8	(	(	PUNCT
ejpam-7172	301	9	4	4	NUM
ejpam-7172	301	10	)	)	PUNCT
ejpam-7172	301	11	(	(	PUNCT
ejpam-7172	301	12	2025	2025	NUM
ejpam-7172	301	13	)	)	PUNCT
ejpam-7172	301	14	,	,	PUNCT
ejpam-7172	301	15	7172	7172	NUM
ejpam-7172	301	16	19	19	NUM
ejpam-7172	301	17	of	of	ADP
ejpam-7172	301	18	22	22	NUM
ejpam-7172	301	19	(	(	PUNCT
ejpam-7172	301	20	c	c	NOUN
ejpam-7172	301	21	)	)	PUNCT
ejpam-7172	301	22	α	α	NOUN
ejpam-7172	301	23	=	=	SYM
ejpam-7172	301	24	0.6	0.6	NUM
ejpam-7172	301	25	,	,	PUNCT
ejpam-7172	301	26	ρ	ρ	PROPN
ejpam-7172	301	27	=	=	SYM
ejpam-7172	301	28	0	0	NUM
ejpam-7172	301	29	,	,	PUNCT
ejpam-7172	301	30	(	(	PUNCT
ejpam-7172	301	31	d	d	X
ejpam-7172	301	32	)	)	PUNCT
ejpam-7172	301	33	α	α	NOUN
ejpam-7172	301	34	=	=	SYM
ejpam-7172	301	35	1	1	NUM
ejpam-7172	301	36	,	,	PUNCT
ejpam-7172	301	37	0.8	0.8	NUM
ejpam-7172	301	38	,	,	PUNCT
ejpam-7172	301	39	0.6	0.6	NUM
ejpam-7172	301	40	and	and	CCONJ
ejpam-7172	301	41	ρ	ρ	NUM
ejpam-7172	301	42	=	=	SYM
ejpam-7172	301	43	0	0	NUM
ejpam-7172	301	44	,	,	PUNCT
ejpam-7172	301	45	figure	figure	NOUN
ejpam-7172	301	46	8	8	NUM
ejpam-7172	301	47	.	.	PUNCT
ejpam-7172	302	1	(	(	PUNCT
ejpam-7172	302	2	a	a	DET
ejpam-7172	302	3	-	-	PUNCT
ejpam-7172	302	4	c	c	NOUN
ejpam-7172	302	5	)	)	PUNCT
ejpam-7172	302	6	exhibit	exhibit	VERB
ejpam-7172	302	7	the	the	DET
ejpam-7172	302	8	3d	3d	NUM
ejpam-7172	302	9	profile	profile	NOUN
ejpam-7172	302	10	of	of	ADP
ejpam-7172	302	11	solution	solution	NOUN
ejpam-7172	302	12	z(x	z(x	NUM
ejpam-7172	302	13	,	,	PUNCT
ejpam-7172	302	14	t	t	PROPN
ejpam-7172	302	15	)	)	PUNCT
ejpam-7172	302	16	in	in	ADP
ejpam-7172	302	17	eq	eq	ADP
ejpam-7172	302	18	.	.	PUNCT
ejpam-7172	303	1	(	(	PUNCT
ejpam-7172	303	2	38	38	NUM
ejpam-7172	303	3	)	)	PUNCT
ejpam-7172	303	4	with	with	ADP
ejpam-7172	303	5	k	k	PROPN
ejpam-7172	303	6	=	=	SYM
ejpam-7172	303	7	−1	−1	NOUN
ejpam-7172	303	8	,	,	PUNCT
ejpam-7172	303	9	q	q	NOUN
ejpam-7172	303	10	=	=	NOUN
ejpam-7172	303	11	0.8	0.8	NUM
ejpam-7172	303	12	,	,	PUNCT
ejpam-7172	303	13	p	p	NOUN
ejpam-7172	303	14	=	=	NOUN
ejpam-7172	303	15	0.9	0.9	NUM
ejpam-7172	303	16	,	,	PUNCT
ejpam-7172	303	17	δ	δ	PROPN
ejpam-7172	303	18	=	=	SYM
ejpam-7172	303	19	1	1	NUM
ejpam-7172	303	20	,	,	PUNCT
ejpam-7172	303	21	x	x	SYM
ejpam-7172	303	22	∈	∈	PROPN
ejpam-7172	304	1	[	[	X
ejpam-7172	304	2	0	0	NUM
ejpam-7172	304	3	,	,	PUNCT
ejpam-7172	304	4	4	4	NUM
ejpam-7172	304	5	]	]	PUNCT
ejpam-7172	304	6	,	,	PUNCT
ejpam-7172	304	7	t	t	PROPN
ejpam-7172	304	8	∈	∈	PROPN
ejpam-7172	305	1	[	[	X
ejpam-7172	305	2	0	0	NUM
ejpam-7172	305	3	,	,	PUNCT
ejpam-7172	305	4	2.5	2.5	NUM
ejpam-7172	305	5	]	]	PUNCT
ejpam-7172	305	6	and	and	CCONJ
ejpam-7172	305	7	ρ	ρ	NUM
ejpam-7172	305	8	=	=	SYM
ejpam-7172	305	9	0	0	PUNCT
ejpam-7172	305	10	(	(	PUNCT
ejpam-7172	305	11	d	d	NOUN
ejpam-7172	305	12	)	)	PUNCT
ejpam-7172	305	13	2d	2d	NOUN
ejpam-7172	305	14	profile	profile	NOUN
ejpam-7172	305	15	showing	show	VERB
ejpam-7172	305	16	that	that	SCONJ
ejpam-7172	305	17	decreasing	decrease	VERB
ejpam-7172	305	18	α	α	NOUN
ejpam-7172	305	19	dampens	dampen	VERB
ejpam-7172	305	20	wave	wave	NOUN
ejpam-7172	305	21	oscillations	oscillation	NOUN
ejpam-7172	305	22	and	and	CCONJ
ejpam-7172	305	23	flattens	flatten	VERB
ejpam-7172	305	24	the	the	DET
ejpam-7172	305	25	amplitude	amplitude	NOUN
ejpam-7172	305	26	of	of	ADP
ejpam-7172	305	27	eq	eq	PROPN
ejpam-7172	305	28	.	.	PUNCT
ejpam-7172	306	1	(	(	PUNCT
ejpam-7172	306	2	38	38	NUM
ejpam-7172	306	3	)	)	PUNCT
ejpam-7172	306	4	.	.	PUNCT
ejpam-7172	307	1	from	from	ADP
ejpam-7172	307	2	the	the	DET
ejpam-7172	307	3	previous	previous	ADJ
ejpam-7172	307	4	figures	figure	NOUN
ejpam-7172	307	5	5−	5−	NUM
ejpam-7172	307	6	8	8	NUM
ejpam-7172	307	7	,	,	PUNCT
ejpam-7172	307	8	we	we	PRON
ejpam-7172	307	9	conclude	conclude	VERB
ejpam-7172	307	10	that	that	SCONJ
ejpam-7172	307	11	the	the	DET
ejpam-7172	307	12	surface	surface	NOUN
ejpam-7172	307	13	shifts	shift	NOUN
ejpam-7172	307	14	to	to	ADP
ejpam-7172	307	15	the	the	DET
ejpam-7172	307	16	left	left	NOUN
ejpam-7172	307	17	as	as	ADP
ejpam-7172	307	18	the	the	DET
ejpam-7172	307	19	derivative	derivative	ADJ
ejpam-7172	307	20	order	order	NOUN
ejpam-7172	307	21	α	α	NOUN
ejpam-7172	307	22	of	of	ADP
ejpam-7172	307	23	conformable	conformable	ADJ
ejpam-7172	307	24	derivative	derivative	ADJ
ejpam-7172	307	25	operator	operator	NOUN
ejpam-7172	307	26	decreases	decrease	VERB
ejpam-7172	307	27	.	.	PUNCT
ejpam-7172	308	1	physical	physical	ADJ
ejpam-7172	308	2	meaning	meaning	NOUN
ejpam-7172	308	3	:	:	PUNCT
ejpam-7172	308	4	the	the	DET
ejpam-7172	308	5	scs	scs	ADJ
ejpam-7172	308	6	-	-	PUNCT
ejpam-7172	308	7	kdves	kdve	NOUN
ejpam-7172	308	8	-	-	PUNCT
ejpam-7172	308	9	cdo	cdo	NOUN
ejpam-7172	308	10	(	(	PUNCT
ejpam-7172	308	11	1	1	NUM
ejpam-7172	308	12	)	)	PUNCT
ejpam-7172	308	13	represent	represent	VERB
ejpam-7172	308	14	a	a	DET
ejpam-7172	308	15	compelling	compelling	ADJ
ejpam-7172	308	16	intersection	intersection	NOUN
ejpam-7172	308	17	between	between	ADP
ejpam-7172	308	18	quantum	quantum	NOUN
ejpam-7172	308	19	mechanics	mechanic	NOUN
ejpam-7172	308	20	,	,	PUNCT
ejpam-7172	308	21	nonlinear	nonlinear	ADJ
ejpam-7172	308	22	dynamics	dynamic	NOUN
ejpam-7172	308	23	,	,	PUNCT
ejpam-7172	308	24	and	and	CCONJ
ejpam-7172	308	25	fractional	fractional	ADJ
ejpam-7172	308	26	calculus	calculus	NOUN
ejpam-7172	308	27	.	.	PUNCT
ejpam-7172	309	1	it	it	PRON
ejpam-7172	309	2	describes	describe	VERB
ejpam-7172	309	3	a	a	DET
ejpam-7172	309	4	generalization	generalization	NOUN
ejpam-7172	309	5	of	of	ADP
ejpam-7172	309	6	the	the	DET
ejpam-7172	309	7	classical	classical	ADJ
ejpam-7172	309	8	schrödinger	schrödinger	ADJ
ejpam-7172	309	9	equation	equation	NOUN
ejpam-7172	309	10	combined	combine	VERB
ejpam-7172	309	11	with	with	ADP
ejpam-7172	309	12	the	the	DET
ejpam-7172	309	13	kdv	kdv	NOUN
ejpam-7172	309	14	equation	equation	NOUN
ejpam-7172	309	15	,	,	PUNCT
ejpam-7172	309	16	incorporating	incorporate	VERB
ejpam-7172	309	17	random	random	ADJ
ejpam-7172	309	18	perturbations	perturbation	NOUN
ejpam-7172	309	19	and	and	CCONJ
ejpam-7172	309	20	fractional	fractional	ADJ
ejpam-7172	309	21	derivatives	derivative	NOUN
ejpam-7172	309	22	.	.	PUNCT
ejpam-7172	310	1	therefore	therefore	ADV
ejpam-7172	310	2	,	,	PUNCT
ejpam-7172	310	3	the	the	DET
ejpam-7172	310	4	obtained	obtain	VERB
ejpam-7172	310	5	solutions	solution	NOUN
ejpam-7172	310	6	for	for	ADP
ejpam-7172	310	7	these	these	DET
ejpam-7172	310	8	equations	equation	NOUN
ejpam-7172	310	9	are	be	AUX
ejpam-7172	310	10	very	very	ADV
ejpam-7172	310	11	important	important	ADJ
ejpam-7172	310	12	.	.	PUNCT
ejpam-7172	311	1	we	we	PRON
ejpam-7172	311	2	obtained	obtain	VERB
ejpam-7172	311	3	various	various	ADJ
ejpam-7172	311	4	soliton	soliton	NOUN
ejpam-7172	311	5	solutions	solution	NOUN
ejpam-7172	311	6	,	,	PUNCT
ejpam-7172	311	7	including	include	VERB
ejpam-7172	311	8	a	a	DET
ejpam-7172	311	9	periodic	periodic	ADJ
ejpam-7172	311	10	soliton	soliton	NOUN
ejpam-7172	311	11	,	,	PUNCT
ejpam-7172	311	12	a	a	DET
ejpam-7172	311	13	bright	bright	ADJ
ejpam-7172	311	14	soliton	soliton	NOUN
ejpam-7172	311	15	,	,	PUNCT
ejpam-7172	311	16	a	a	DET
ejpam-7172	311	17	dark	dark	ADJ
ejpam-7172	311	18	-	-	PUNCT
ejpam-7172	311	19	bright	bright	ADJ
ejpam-7172	311	20	soliton	soliton	NOUN
ejpam-7172	311	21	and	and	CCONJ
ejpam-7172	311	22	a	a	DET
ejpam-7172	311	23	singular	singular	ADJ
ejpam-7172	311	24	soliton	soliton	NOUN
ejpam-7172	311	25	solution	solution	NOUN
ejpam-7172	311	26	,	,	PUNCT
ejpam-7172	311	27	by	by	ADP
ejpam-7172	311	28	using	use	VERB
ejpam-7172	311	29	the	the	DET
ejpam-7172	311	30	sardar	sardar	PROPN
ejpam-7172	311	31	subequation	subequation	NOUN
ejpam-7172	311	32	method	method	NOUN
ejpam-7172	311	33	.	.	PUNCT
ejpam-7172	312	1	the	the	DET
ejpam-7172	312	2	soliton	soliton	NOUN
ejpam-7172	312	3	solutions	solution	NOUN
ejpam-7172	312	4	of	of	ADP
ejpam-7172	312	5	the	the	DET
ejpam-7172	312	6	schrödinger	schrödinger	ADJ
ejpam-7172	312	7	-	-	PUNCT
ejpam-7172	312	8	kdv	kdv	NOUN
ejpam-7172	312	9	equation	equation	NOUN
ejpam-7172	312	10	have	have	VERB
ejpam-7172	312	11	implications	implication	NOUN
ejpam-7172	312	12	for	for	ADP
ejpam-7172	312	13	quantum	quantum	ADJ
ejpam-7172	312	14	field	field	NOUN
ejpam-7172	312	15	theory	theory	NOUN
ejpam-7172	312	16	and	and	CCONJ
ejpam-7172	312	17	soliton	soliton	NOUN
ejpam-7172	312	18	theory	theory	NOUN
ejpam-7172	312	19	itself	itself	PRON
ejpam-7172	312	20	.	.	PUNCT
ejpam-7172	313	1	in	in	ADP
ejpam-7172	313	2	quantum	quantum	ADJ
ejpam-7172	313	3	mechanics	mechanic	NOUN
ejpam-7172	313	4	,	,	PUNCT
ejpam-7172	313	5	certain	certain	ADJ
ejpam-7172	313	6	soliton	soliton	NOUN
ejpam-7172	313	7	states	state	NOUN
ejpam-7172	313	8	can	can	AUX
ejpam-7172	313	9	represent	represent	VERB
ejpam-7172	313	10	bound	bound	ADJ
ejpam-7172	313	11	states	state	NOUN
ejpam-7172	313	12	of	of	ADP
ejpam-7172	313	13	particles	particle	NOUN
ejpam-7172	313	14	,	,	PUNCT
ejpam-7172	313	15	providing	provide	VERB
ejpam-7172	313	16	a	a	DET
ejpam-7172	313	17	novel	novel	ADJ
ejpam-7172	313	18	perspective	perspective	NOUN
ejpam-7172	313	19	on	on	ADP
ejpam-7172	313	20	particle	particle	NOUN
ejpam-7172	313	21	interactions	interaction	NOUN
ejpam-7172	313	22	in	in	ADP
ejpam-7172	313	23	quantum	quantum	ADJ
ejpam-7172	313	24	fields	field	NOUN
ejpam-7172	313	25	.	.	PUNCT
ejpam-7172	314	1	the	the	DET
ejpam-7172	314	2	integrability	integrability	NOUN
ejpam-7172	314	3	properties	property	NOUN
ejpam-7172	314	4	of	of	ADP
ejpam-7172	314	5	the	the	DET
ejpam-7172	314	6	schrödinger	schrödinger	ADJ
ejpam-7172	314	7	-	-	PUNCT
ejpam-7172	314	8	kdv	kdv	NOUN
ejpam-7172	314	9	equation	equation	NOUN
ejpam-7172	314	10	allow	allow	VERB
ejpam-7172	314	11	physicists	physicist	NOUN
ejpam-7172	314	12	to	to	PART
ejpam-7172	314	13	derive	derive	VERB
ejpam-7172	314	14	exact	exact	ADJ
ejpam-7172	314	15	solutions	solution	NOUN
ejpam-7172	314	16	,	,	PUNCT
ejpam-7172	314	17	facilitating	facilitate	VERB
ejpam-7172	314	18	the	the	DET
ejpam-7172	314	19	exploration	exploration	NOUN
ejpam-7172	314	20	of	of	ADP
ejpam-7172	314	21	new	new	ADJ
ejpam-7172	314	22	physical	physical	ADJ
ejpam-7172	314	23	phenomena	phenomenon	NOUN
ejpam-7172	314	24	such	such	ADJ
ejpam-7172	314	25	as	as	ADP
ejpam-7172	314	26	rogue	rogue	ADJ
ejpam-7172	314	27	waves	wave	NOUN
ejpam-7172	314	28	and	and	CCONJ
ejpam-7172	314	29	soliton	soliton	NOUN
ejpam-7172	314	30	gas	gas	NOUN
ejpam-7172	314	31	formations	formation	NOUN
ejpam-7172	314	32	.	.	PUNCT
ejpam-7172	315	1	these	these	DET
ejpam-7172	315	2	solutions	solution	NOUN
ejpam-7172	315	3	can	can	AUX
ejpam-7172	315	4	aid	aid	VERB
ejpam-7172	315	5	in	in	ADP
ejpam-7172	315	6	the	the	DET
ejpam-7172	315	7	mathematical	mathematical	ADJ
ejpam-7172	315	8	formulation	formulation	NOUN
ejpam-7172	315	9	of	of	ADP
ejpam-7172	315	10	highly	highly	ADV
ejpam-7172	315	11	non	non	ADJ
ejpam-7172	315	12	-	-	ADJ
ejpam-7172	315	13	linear	linear	ADJ
ejpam-7172	315	14	dynamics	dynamic	NOUN
ejpam-7172	315	15	and	and	CCONJ
ejpam-7172	315	16	enrich	enrich	VERB
ejpam-7172	315	17	our	our	PRON
ejpam-7172	315	18	theoretical	theoretical	ADJ
ejpam-7172	315	19	understanding	understanding	NOUN
ejpam-7172	315	20	of	of	ADP
ejpam-7172	315	21	nature	nature	NOUN
ejpam-7172	315	22	,	,	PUNCT
ejpam-7172	315	23	where	where	SCONJ
ejpam-7172	315	24	complex	complex	ADJ
ejpam-7172	315	25	interactions	interaction	NOUN
ejpam-7172	315	26	often	often	ADV
ejpam-7172	315	27	lead	lead	VERB
ejpam-7172	315	28	to	to	PART
ejpam-7172	315	29	emergent	emergent	VERB
ejpam-7172	315	30	phenomena	phenomenon	NOUN
ejpam-7172	315	31	.	.	PUNCT
ejpam-7172	316	1	6	6	X
ejpam-7172	316	2	.	.	X
ejpam-7172	316	3	conclusions	conclusion	NOUN
ejpam-7172	316	4	in	in	ADP
ejpam-7172	316	5	this	this	DET
ejpam-7172	316	6	paper	paper	NOUN
ejpam-7172	316	7	,	,	PUNCT
ejpam-7172	316	8	the	the	DET
ejpam-7172	316	9	stochastic	stochastic	NOUN
ejpam-7172	316	10	coupled	couple	VERB
ejpam-7172	316	11	schrödinger	schrödinger	ADJ
ejpam-7172	316	12	-	-	PUNCT
ejpam-7172	316	13	kdv	kdv	NOUN
ejpam-7172	316	14	equations	equation	NOUN
ejpam-7172	316	15	with	with	ADP
ejpam-7172	316	16	conformable	conformable	ADJ
ejpam-7172	316	17	derivative	derivative	ADJ
ejpam-7172	316	18	operator	operator	NOUN
ejpam-7172	316	19	(	(	PUNCT
ejpam-7172	316	20	1	1	X
ejpam-7172	316	21	)	)	PUNCT
ejpam-7172	316	22	were	be	AUX
ejpam-7172	316	23	considered	consider	VERB
ejpam-7172	316	24	.	.	PUNCT
ejpam-7172	317	1	by	by	ADP
ejpam-7172	317	2	using	use	VERB
ejpam-7172	317	3	the	the	DET
ejpam-7172	317	4	sardar	sardar	PROPN
ejpam-7172	317	5	subequation	subequation	NOUN
ejpam-7172	317	6	method	method	NOUN
ejpam-7172	317	7	,	,	PUNCT
ejpam-7172	317	8	we	we	PRON
ejpam-7172	317	9	were	be	AUX
ejpam-7172	317	10	able	able	ADJ
ejpam-7172	317	11	to	to	PART
ejpam-7172	317	12	obtain	obtain	VERB
ejpam-7172	317	13	a	a	DET
ejpam-7172	317	14	periodic	periodic	ADJ
ejpam-7172	317	15	soliton	soliton	NOUN
ejpam-7172	317	16	,	,	PUNCT
ejpam-7172	317	17	a	a	DET
ejpam-7172	317	18	bright	bright	ADJ
ejpam-7172	317	19	soliton	soliton	NOUN
ejpam-7172	317	20	,	,	PUNCT
ejpam-7172	317	21	a	a	DET
ejpam-7172	317	22	dark	dark	ADJ
ejpam-7172	317	23	-	-	PUNCT
ejpam-7172	317	24	bright	bright	ADJ
ejpam-7172	317	25	soliton	soliton	NOUN
ejpam-7172	317	26	,	,	PUNCT
ejpam-7172	317	27	and	and	CCONJ
ejpam-7172	317	28	a	a	DET
ejpam-7172	317	29	singular	singular	ADJ
ejpam-7172	317	30	soliton	soliton	NOUN
ejpam-7172	317	31	solution	solution	NOUN
ejpam-7172	317	32	.	.	PUNCT
ejpam-7172	318	1	when	when	SCONJ
ejpam-7172	318	2	ρ	ρ	PROPN
ejpam-7172	318	3	=	=	SYM
ejpam-7172	318	4	0	0	NUM
ejpam-7172	318	5	and	and	CCONJ
ejpam-7172	318	6	α	α	NOUN
ejpam-7172	318	7	=	=	SYM
ejpam-7172	318	8	1	1	NUM
ejpam-7172	318	9	,	,	PUNCT
ejpam-7172	318	10	we	we	PRON
ejpam-7172	318	11	get	get	VERB
ejpam-7172	318	12	some	some	DET
ejpam-7172	318	13	previously	previously	ADV
ejpam-7172	318	14	known	know	VERB
ejpam-7172	318	15	solutions	solution	NOUN
ejpam-7172	318	16	of	of	ADP
ejpam-7172	318	17	the	the	DET
ejpam-7172	318	18	scs	scs	PROPN
ejpam-7172	318	19	-	-	PUNCT
ejpam-7172	318	20	kdves	kdve	NOUN
ejpam-7172	318	21	-	-	PUNCT
ejpam-7172	318	22	cdo	cdo	NOUN
ejpam-7172	318	23	(	(	PUNCT
ejpam-7172	318	24	1	1	NUM
ejpam-7172	318	25	)	)	PUNCT
ejpam-7172	318	26	as	as	SCONJ
ejpam-7172	318	27	stated	state	VERB
ejpam-7172	318	28	in	in	ADP
ejpam-7172	318	29	previous	previous	ADJ
ejpam-7172	318	30	remarks	remark	NOUN
ejpam-7172	318	31	.	.	PUNCT
ejpam-7172	319	1	these	these	PRON
ejpam-7172	319	2	obtained	obtain	VERB
ejpam-7172	319	3	solutions	solution	NOUN
ejpam-7172	319	4	may	may	AUX
ejpam-7172	319	5	be	be	AUX
ejpam-7172	319	6	beneficial	beneficial	ADJ
ejpam-7172	319	7	,	,	PUNCT
ejpam-7172	319	8	practical	practical	ADJ
ejpam-7172	319	9	,	,	PUNCT
ejpam-7172	319	10	and	and	CCONJ
ejpam-7172	319	11	can	can	AUX
ejpam-7172	319	12	explain	explain	VERB
ejpam-7172	319	13	a	a	DET
ejpam-7172	319	14	wide	wide	ADJ
ejpam-7172	319	15	variety	variety	NOUN
ejpam-7172	319	16	of	of	ADP
ejpam-7172	319	17	crucial	crucial	ADJ
ejpam-7172	319	18	physical	physical	ADJ
ejpam-7172	319	19	phenomena	phenomenon	NOUN
ejpam-7172	319	20	because	because	SCONJ
ejpam-7172	319	21	the	the	DET
ejpam-7172	319	22	scs	scs	PROPN
ejpam-7172	319	23	-	-	PUNCT
ejpam-7172	319	24	kdves	kdve	NOUN
ejpam-7172	319	25	-	-	PUNCT
ejpam-7172	319	26	cdo	cdo	NOUN
ejpam-7172	319	27	equations	equation	NOUN
ejpam-7172	319	28	have	have	VERB
ejpam-7172	319	29	significant	significant	ADJ
ejpam-7172	319	30	uses	use	NOUN
ejpam-7172	319	31	in	in	ADP
ejpam-7172	319	32	dusty	dusty	ADJ
ejpam-7172	319	33	plasma	plasma	NOUN
ejpam-7172	319	34	,	,	PUNCT
ejpam-7172	319	35	including	include	VERB
ejpam-7172	319	36	w.	w.	PROPN
ejpam-7172	319	37	w.	w.	PROPN
ejpam-7172	319	38	mohammed	mohammed	PROPN
ejpam-7172	319	39	et	et	PROPN
ejpam-7172	319	40	al	al	PROPN
ejpam-7172	319	41	.	.	PUNCT
ejpam-7172	319	42	/	/	SYM
ejpam-7172	319	43	eur	eur	PROPN
ejpam-7172	319	44	.	.	PUNCT
ejpam-7172	320	1	j.	j.	PROPN
ejpam-7172	320	2	pure	pure	PROPN
ejpam-7172	320	3	appl	appl	PROPN
ejpam-7172	320	4	.	.	PROPN
ejpam-7172	320	5	math	math	PROPN
ejpam-7172	320	6	,	,	PUNCT
ejpam-7172	320	7	18	18	NUM
ejpam-7172	320	8	(	(	PUNCT
ejpam-7172	320	9	4	4	NUM
ejpam-7172	320	10	)	)	PUNCT
ejpam-7172	320	11	(	(	PUNCT
ejpam-7172	320	12	2025	2025	NUM
ejpam-7172	320	13	)	)	PUNCT
ejpam-7172	320	14	,	,	PUNCT
ejpam-7172	320	15	7172	7172	NUM
ejpam-7172	320	16	20	20	NUM
ejpam-7172	320	17	of	of	ADP
ejpam-7172	320	18	22	22	NUM
ejpam-7172	320	19	langmuir	langmuir	NOUN
ejpam-7172	320	20	,	,	PUNCT
ejpam-7172	320	21	electromagnetic	electromagnetic	ADJ
ejpam-7172	320	22	waves	wave	NOUN
ejpam-7172	320	23	,	,	PUNCT
ejpam-7172	320	24	and	and	CCONJ
ejpam-7172	320	25	dust	dust	NOUN
ejpam-7172	320	26	-	-	PUNCT
ejpam-7172	320	27	acoustic	acoustic	ADJ
ejpam-7172	320	28	waves	wave	NOUN
ejpam-7172	320	29	.	.	PUNCT
ejpam-7172	321	1	compared	compare	VERB
ejpam-7172	321	2	to	to	ADP
ejpam-7172	321	3	former	former	ADJ
ejpam-7172	321	4	deterministic	deterministic	ADJ
ejpam-7172	321	5	approaches	approach	NOUN
ejpam-7172	321	6	such	such	ADJ
ejpam-7172	321	7	as	as	ADP
ejpam-7172	321	8	the	the	DET
ejpam-7172	321	9	petrov	petrov	PROPN
ejpam-7172	321	10	-	-	PUNCT
ejpam-7172	321	11	galerkin	galerkin	ADJ
ejpam-7172	321	12	approach	approach	NOUN
ejpam-7172	321	13	for	for	ADP
ejpam-7172	321	14	coupled	couple	VERB
ejpam-7172	321	15	schrödinger	schrödinger	ADJ
ejpam-7172	321	16	-	-	PUNCT
ejpam-7172	321	17	kdv	kdv	NOUN
ejpam-7172	321	18	equations	equation	NOUN
ejpam-7172	321	19	[	[	X
ejpam-7172	321	20	20	20	NUM
ejpam-7172	321	21	]	]	PUNCT
ejpam-7172	321	22	and	and	CCONJ
ejpam-7172	321	23	sardar	sardar	PROPN
ejpam-7172	321	24	sub	sub	ADJ
ejpam-7172	321	25	-	-	ADJ
ejpam-7172	321	26	equation	equation	ADJ
ejpam-7172	321	27	approach	approach	NOUN
ejpam-7172	321	28	for	for	ADP
ejpam-7172	321	29	the	the	DET
ejpam-7172	321	30	boussinesq	boussinesq	ADJ
ejpam-7172	321	31	equation	equation	NOUN
ejpam-7172	321	32	[	[	X
ejpam-7172	321	33	26	26	NUM
ejpam-7172	321	34	]	]	PUNCT
ejpam-7172	321	35	,	,	PUNCT
ejpam-7172	321	36	the	the	DET
ejpam-7172	321	37	present	present	ADJ
ejpam-7172	321	38	paper	paper	NOUN
ejpam-7172	321	39	provides	provide	VERB
ejpam-7172	321	40	a	a	DET
ejpam-7172	321	41	broader	broad	ADJ
ejpam-7172	321	42	solution	solution	NOUN
ejpam-7172	321	43	space	space	NOUN
ejpam-7172	321	44	.	.	PUNCT
ejpam-7172	322	1	exactly	exactly	ADV
ejpam-7172	322	2	,	,	PUNCT
ejpam-7172	322	3	new	new	ADJ
ejpam-7172	322	4	solution	solution	NOUN
ejpam-7172	322	5	patterns	pattern	NOUN
ejpam-7172	322	6	,	,	PUNCT
ejpam-7172	322	7	perverse	perverse	ADJ
ejpam-7172	322	8	as	as	ADV
ejpam-7172	322	9	well	well	ADV
ejpam-7172	322	10	as	as	ADP
ejpam-7172	322	11	systematic	systematic	ADJ
ejpam-7172	322	12	extensions	extension	NOUN
ejpam-7172	322	13	of	of	ADP
ejpam-7172	322	14	the	the	DET
ejpam-7172	322	15	conformable	conformable	ADJ
ejpam-7172	322	16	deterministic	deterministic	ADJ
ejpam-7172	322	17	counterpart	counterpart	NOUN
ejpam-7172	322	18	(	(	PUNCT
ejpam-7172	322	19	ρ	ρ	NOUN
ejpam-7172	322	20	=	=	SYM
ejpam-7172	322	21	0	0	NUM
ejpam-7172	322	22	)	)	PUNCT
ejpam-7172	322	23	are	be	AUX
ejpam-7172	322	24	all	all	PRON
ejpam-7172	322	25	encompassed	encompass	VERB
ejpam-7172	322	26	in	in	ADP
ejpam-7172	322	27	our	our	PRON
ejpam-7172	322	28	results	result	NOUN
ejpam-7172	322	29	,	,	PUNCT
ejpam-7172	322	30	which	which	PRON
ejpam-7172	322	31	thereby	thereby	ADV
ejpam-7172	322	32	demonstrates	demonstrate	VERB
ejpam-7172	322	33	the	the	DET
ejpam-7172	322	34	novelty	novelty	NOUN
ejpam-7172	322	35	of	of	ADP
ejpam-7172	322	36	the	the	DET
ejpam-7172	322	37	proposed	propose	VERB
ejpam-7172	322	38	method	method	NOUN
ejpam-7172	322	39	.	.	PUNCT
ejpam-7172	323	1	additionally	additionally	ADV
ejpam-7172	323	2	,	,	PUNCT
ejpam-7172	323	3	by	by	ADP
ejpam-7172	323	4	drawing	draw	VERB
ejpam-7172	323	5	several	several	ADJ
ejpam-7172	323	6	graphs	graph	NOUN
ejpam-7172	323	7	in	in	ADP
ejpam-7172	323	8	both	both	DET
ejpam-7172	323	9	two	two	NUM
ejpam-7172	323	10	and	and	CCONJ
ejpam-7172	323	11	three	three	NUM
ejpam-7172	323	12	dimensions	dimension	NOUN
ejpam-7172	323	13	using	use	VERB
ejpam-7172	323	14	the	the	DET
ejpam-7172	323	15	matlab	matlab	PROPN
ejpam-7172	323	16	program	program	NOUN
ejpam-7172	323	17	(	(	PUNCT
ejpam-7172	323	18	version	version	NOUN
ejpam-7172	323	19	r2022b	r2022b	NOUN
ejpam-7172	323	20	)	)	PUNCT
ejpam-7172	323	21	,	,	PUNCT
ejpam-7172	323	22	the	the	DET
ejpam-7172	323	23	effects	effect	NOUN
ejpam-7172	323	24	of	of	ADP
ejpam-7172	323	25	the	the	DET
ejpam-7172	323	26	conformable	conformable	ADJ
ejpam-7172	323	27	derivative	derivative	ADJ
ejpam-7172	323	28	operator	operator	NOUN
ejpam-7172	323	29	and	and	CCONJ
ejpam-7172	323	30	noise	noise	NOUN
ejpam-7172	323	31	term	term	NOUN
ejpam-7172	323	32	on	on	ADP
ejpam-7172	323	33	the	the	DET
ejpam-7172	323	34	analytical	analytical	ADJ
ejpam-7172	323	35	solution	solution	NOUN
ejpam-7172	323	36	of	of	ADP
ejpam-7172	323	37	the	the	DET
ejpam-7172	323	38	scs	scs	PROPN
ejpam-7172	323	39	-	-	PUNCT
ejpam-7172	323	40	kdves	kdve	NOUN
ejpam-7172	323	41	-	-	PUNCT
ejpam-7172	323	42	cdo	cdo	NOUN
ejpam-7172	323	43	(	(	PUNCT
ejpam-7172	323	44	1	1	NUM
ejpam-7172	323	45	)	)	PUNCT
ejpam-7172	323	46	were	be	AUX
ejpam-7172	323	47	studied	study	VERB
ejpam-7172	323	48	.	.	PUNCT
ejpam-7172	324	1	we	we	PRON
ejpam-7172	324	2	showed	show	VERB
ejpam-7172	324	3	that	that	SCONJ
ejpam-7172	324	4	the	the	DET
ejpam-7172	324	5	multiplicative	multiplicative	ADJ
ejpam-7172	324	6	wiener	wiener	NOUN
ejpam-7172	324	7	process	process	NOUN
ejpam-7172	324	8	stabilized	stabilize	VERB
ejpam-7172	324	9	the	the	DET
ejpam-7172	324	10	solutions	solution	NOUN
ejpam-7172	324	11	around	around	ADP
ejpam-7172	324	12	zero	zero	NUM
ejpam-7172	324	13	,	,	PUNCT
ejpam-7172	324	14	while	while	SCONJ
ejpam-7172	324	15	the	the	DET
ejpam-7172	324	16	conformable	conformable	ADJ
ejpam-7172	324	17	derivative	derivative	ADJ
ejpam-7172	324	18	operator	operator	NOUN
ejpam-7172	324	19	shifts	shift	NOUN
ejpam-7172	324	20	the	the	DET
ejpam-7172	324	21	surface	surface	NOUN
ejpam-7172	324	22	to	to	ADP
ejpam-7172	324	23	the	the	DET
ejpam-7172	324	24	left	left	NOUN
ejpam-7172	324	25	when	when	SCONJ
ejpam-7172	324	26	the	the	DET
ejpam-7172	324	27	derivative	derivative	ADJ
ejpam-7172	324	28	order	order	NOUN
ejpam-7172	324	29	α	α	NOUN
ejpam-7172	324	30	decreases	decrease	VERB
ejpam-7172	324	31	.	.	PUNCT
ejpam-7172	325	1	we	we	PRON
ejpam-7172	325	2	can	can	AUX
ejpam-7172	325	3	investigate	investigate	VERB
ejpam-7172	325	4	the	the	DET
ejpam-7172	325	5	exact	exact	ADJ
ejpam-7172	325	6	solutions	solution	NOUN
ejpam-7172	325	7	of	of	ADP
ejpam-7172	325	8	coupled	couple	VERB
ejpam-7172	325	9	schrödinger	schrödinger	ADJ
ejpam-7172	325	10	-	-	PUNCT
ejpam-7172	325	11	kdv	kdv	NOUN
ejpam-7172	325	12	equations	equation	NOUN
ejpam-7172	325	13	with	with	ADP
ejpam-7172	325	14	additive	additive	ADJ
ejpam-7172	325	15	noise	noise	NOUN
ejpam-7172	325	16	in	in	ADP
ejpam-7172	325	17	further	further	ADJ
ejpam-7172	325	18	research	research	NOUN
ejpam-7172	325	19	.	.	PUNCT
ejpam-7172	326	1	acknowledgements	acknowledgement	NOUN
ejpam-7172	326	2	this	this	DET
ejpam-7172	326	3	research	research	NOUN
ejpam-7172	326	4	has	have	AUX
ejpam-7172	326	5	been	be	AUX
ejpam-7172	326	6	funded	fund	VERB
ejpam-7172	326	7	by	by	ADP
ejpam-7172	326	8	scientific	scientific	ADJ
ejpam-7172	326	9	research	research	NOUN
ejpam-7172	326	10	deanship	deanship	NOUN
ejpam-7172	326	11	at	at	ADP
ejpam-7172	326	12	the	the	DET
ejpam-7172	326	13	university	university	NOUN
ejpam-7172	326	14	of	of	ADP
ejpam-7172	326	15	ha’il	ha’il	PROPN
ejpam-7172	326	16	-	-	PUNCT
ejpam-7172	326	17	saudi	saudi	PROPN
ejpam-7172	326	18	arabia	arabia	PROPN
ejpam-7172	326	19	through	through	ADP
ejpam-7172	326	20	project	project	NOUN
ejpam-7172	326	21	number	number	NOUN
ejpam-7172	326	22	rg-25050	rg-25050	ADJ
ejpam-7172	326	23	.	.	PUNCT
ejpam-7172	327	1	references	reference	NOUN
ejpam-7172	327	2	[	[	X
ejpam-7172	327	3	1	1	X
ejpam-7172	327	4	]	]	X
ejpam-7172	327	5	haci	haci	PROPN
ejpam-7172	327	6	mehmet	mehmet	PROPN
ejpam-7172	327	7	baskonus	baskonus	PROPN
ejpam-7172	327	8	,	,	PUNCT
ejpam-7172	327	9	hasan	hasan	PROPN
ejpam-7172	327	10	bulut	bulut	PROPN
ejpam-7172	327	11	,	,	PUNCT
ejpam-7172	327	12	and	and	CCONJ
ejpam-7172	327	13	tukur	tukur	VERB
ejpam-7172	327	14	abdulkadir	abdulkadir	ADJ
ejpam-7172	327	15	sulaiman	sulaiman	NOUN
ejpam-7172	327	16	.	.	PUNCT
ejpam-7172	328	1	new	new	ADJ
ejpam-7172	328	2	complex	complex	ADJ
ejpam-7172	328	3	hyperbolic	hyperbolic	ADJ
ejpam-7172	328	4	structures	structure	NOUN
ejpam-7172	328	5	to	to	ADP
ejpam-7172	328	6	the	the	DET
ejpam-7172	328	7	lonngren	lonngren	NOUN
ejpam-7172	328	8	-	-	PUNCT
ejpam-7172	328	9	wave	wave	NOUN
ejpam-7172	328	10	equation	equation	NOUN
ejpam-7172	328	11	by	by	ADP
ejpam-7172	328	12	using	use	VERB
ejpam-7172	328	13	sine	sine	NOUN
ejpam-7172	328	14	-	-	PUNCT
ejpam-7172	328	15	gordon	gordon	PROPN
ejpam-7172	328	16	expansion	expansion	NOUN
ejpam-7172	328	17	method	method	NOUN
ejpam-7172	328	18	.	.	PUNCT
ejpam-7172	329	1	applied	apply	VERB
ejpam-7172	329	2	mathematics	mathematics	PROPN
ejpam-7172	329	3	&	&	CCONJ
ejpam-7172	329	4	nonlinear	nonlinear	PROPN
ejpam-7172	329	5	sciences	sciences	PROPN
ejpam-7172	329	6	,	,	PUNCT
ejpam-7172	329	7	4(1	4(1	NOUN
ejpam-7172	329	8	)	)	PUNCT
ejpam-7172	329	9	,	,	PUNCT
ejpam-7172	329	10	2019	2019	NUM
ejpam-7172	329	11	.	.	PUNCT
ejpam-7172	330	1	[	[	X
ejpam-7172	330	2	2	2	X
ejpam-7172	330	3	]	]	PUNCT
ejpam-7172	330	4	wael	wael	PROPN
ejpam-7172	330	5	w	w	PROPN
ejpam-7172	330	6	mohammed	mohammed	PROPN
ejpam-7172	330	7	,	,	PUNCT
ejpam-7172	330	8	clemente	clemente	PROPN
ejpam-7172	330	9	cesarano	cesarano	PROPN
ejpam-7172	330	10	,	,	PUNCT
ejpam-7172	330	11	naveed	naveed	PROPN
ejpam-7172	330	12	i.	i.	PROPN
ejpam-7172	330	13	alqsair	alqsair	PROPN
ejpam-7172	330	14	,	,	PUNCT
ejpam-7172	330	15	and	and	CCONJ
ejpam-7172	330	16	rabeb	rabeb	PROPN
ejpam-7172	330	17	sidaoui	sidaoui	PROPN
ejpam-7172	330	18	.	.	PUNCT
ejpam-7172	331	1	the	the	DET
ejpam-7172	331	2	impact	impact	NOUN
ejpam-7172	331	3	of	of	ADP
ejpam-7172	331	4	brownian	brownian	ADJ
ejpam-7172	331	5	motion	motion	NOUN
ejpam-7172	331	6	on	on	ADP
ejpam-7172	331	7	the	the	DET
ejpam-7172	331	8	optical	optical	ADJ
ejpam-7172	331	9	solutions	solution	NOUN
ejpam-7172	331	10	of	of	ADP
ejpam-7172	331	11	the	the	DET
ejpam-7172	331	12	stochastic	stochastic	ADJ
ejpam-7172	331	13	ultra	ultra	ADJ
ejpam-7172	331	14	-	-	ADJ
ejpam-7172	331	15	short	short	ADJ
ejpam-7172	331	16	pulses	pulse	NOUN
ejpam-7172	331	17	mathematical	mathematical	ADJ
ejpam-7172	331	18	model	model	NOUN
ejpam-7172	331	19	.	.	PUNCT
ejpam-7172	332	1	alexandria	alexandria	PROPN
ejpam-7172	332	2	engineering	engineering	PROPN
ejpam-7172	332	3	journal	journal	PROPN
ejpam-7172	332	4	,	,	PUNCT
ejpam-7172	332	5	101:186–192	101:186–192	NUM
ejpam-7172	332	6	,	,	PUNCT
ejpam-7172	332	7	2024	2024	NUM
ejpam-7172	332	8	.	.	PUNCT
ejpam-7172	333	1	[	[	X
ejpam-7172	333	2	3	3	NUM
ejpam-7172	333	3	]	]	X
ejpam-7172	333	4	mohammad	mohammad	PROPN
ejpam-7172	333	5	alshammari	alshammari	PROPN
ejpam-7172	333	6	,	,	PUNCT
ejpam-7172	333	7	amjad	amjad	PROPN
ejpam-7172	333	8	e	e	PROPN
ejpam-7172	333	9	hamza	hamza	PROPN
ejpam-7172	333	10	,	,	PUNCT
ejpam-7172	333	11	clemente	clemente	PROPN
ejpam-7172	333	12	cesarano	cesarano	PROPN
ejpam-7172	333	13	,	,	PUNCT
ejpam-7172	333	14	elkhateeb	elkhateeb	PROPN
ejpam-7172	333	15	s	s	PROPN
ejpam-7172	333	16	aly	aly	PROPN
ejpam-7172	333	17	,	,	PUNCT
ejpam-7172	333	18	and	and	CCONJ
ejpam-7172	333	19	wael	wael	PROPN
ejpam-7172	333	20	w	w	PROPN
ejpam-7172	333	21	mohammed	mohammed	PROPN
ejpam-7172	333	22	.	.	PUNCT
ejpam-7172	334	1	the	the	DET
ejpam-7172	334	2	analytical	analytical	ADJ
ejpam-7172	334	3	solutions	solution	NOUN
ejpam-7172	334	4	to	to	ADP
ejpam-7172	334	5	the	the	DET
ejpam-7172	334	6	fractional	fractional	ADJ
ejpam-7172	334	7	kraenkel	kraenkel	PROPN
ejpam-7172	334	8	–	–	PUNCT
ejpam-7172	334	9	manna	manna	NOUN
ejpam-7172	334	10	–	–	PUNCT
ejpam-7172	334	11	merle	merle	NOUN
ejpam-7172	334	12	system	system	NOUN
ejpam-7172	334	13	in	in	ADP
ejpam-7172	334	14	ferromagnetic	ferromagnetic	ADJ
ejpam-7172	334	15	materials	material	NOUN
ejpam-7172	334	16	.	.	PUNCT
ejpam-7172	335	1	fractal	fractal	ADJ
ejpam-7172	335	2	and	and	CCONJ
ejpam-7172	335	3	fractional	fractional	ADJ
ejpam-7172	335	4	,	,	PUNCT
ejpam-7172	335	5	7(7):523	7(7):523	NUM
ejpam-7172	335	6	,	,	PUNCT
ejpam-7172	335	7	2023	2023	NUM
ejpam-7172	335	8	.	.	PUNCT
ejpam-7172	336	1	[	[	X
ejpam-7172	336	2	4	4	X
ejpam-7172	336	3	]	]	PUNCT
ejpam-7172	336	4	wael	wael	PROPN
ejpam-7172	336	5	w.	w.	PROPN
ejpam-7172	336	6	mohammed	mohammed	PROPN
ejpam-7172	336	7	,	,	PUNCT
ejpam-7172	336	8	monirah	monirah	PROPN
ejpam-7172	336	9	w	w	PROPN
ejpam-7172	336	10	alshammary	alshammary	PROPN
ejpam-7172	336	11	,	,	PUNCT
ejpam-7172	336	12	ahmed	ahmed	PROPN
ejpam-7172	336	13	e	e	PROPN
ejpam-7172	336	14	matouk	matouk	PROPN
ejpam-7172	336	15	,	,	PUNCT
ejpam-7172	336	16	and	and	CCONJ
ejpam-7172	336	17	naveed	naveed	PROPN
ejpam-7172	336	18	iqbal	iqbal	PROPN
ejpam-7172	336	19	.	.	PUNCT
ejpam-7172	337	1	abundant	abundant	ADJ
ejpam-7172	337	2	solitary	solitary	ADJ
ejpam-7172	337	3	solutions	solution	NOUN
ejpam-7172	337	4	for	for	ADP
ejpam-7172	337	5	the	the	DET
ejpam-7172	337	6	fractional	fractional	ADJ
ejpam-7172	337	7	unidirectional	unidirectional	ADJ
ejpam-7172	337	8	wave	wave	NOUN
ejpam-7172	337	9	model	model	NOUN
ejpam-7172	337	10	using	use	VERB
ejpam-7172	337	11	in	in	ADP
ejpam-7172	337	12	oceanography	oceanography	NOUN
ejpam-7172	337	13	,	,	PUNCT
ejpam-7172	337	14	coastal	coastal	ADJ
ejpam-7172	337	15	engineering	engineering	NOUN
ejpam-7172	337	16	,	,	PUNCT
ejpam-7172	337	17	and	and	CCONJ
ejpam-7172	337	18	meteorology	meteorology	NOUN
ejpam-7172	337	19	.	.	PUNCT
ejpam-7172	338	1	european	european	PROPN
ejpam-7172	338	2	journal	journal	PROPN
ejpam-7172	338	3	of	of	ADP
ejpam-7172	338	4	pure	pure	ADJ
ejpam-7172	338	5	and	and	CCONJ
ejpam-7172	338	6	applied	applied	ADJ
ejpam-7172	338	7	mathematics	mathematic	NOUN
ejpam-7172	338	8	,	,	PUNCT
ejpam-7172	338	9	18:6422–6422	18:6422–6422	NUM
ejpam-7172	338	10	,	,	PUNCT
ejpam-7172	338	11	2025	2025	NUM
ejpam-7172	338	12	.	.	PUNCT
ejpam-7172	339	1	[	[	X
ejpam-7172	339	2	5	5	NUM
ejpam-7172	339	3	]	]	X
ejpam-7172	339	4	mingliang	mingliang	PROPN
ejpam-7172	339	5	wang	wang	PROPN
ejpam-7172	339	6	,	,	PUNCT
ejpam-7172	339	7	xiangzheng	xiangzheng	PROPN
ejpam-7172	339	8	li	li	PROPN
ejpam-7172	339	9	,	,	PUNCT
ejpam-7172	339	10	and	and	CCONJ
ejpam-7172	339	11	jinliang	jinliang	PROPN
ejpam-7172	339	12	zhang	zhang	PROPN
ejpam-7172	339	13	.	.	PUNCT
ejpam-7172	340	1	the	the	DET
ejpam-7172	340	2	(	(	PUNCT
ejpam-7172	340	3	g′/g)−expansion	g′/g)−expansion	NOUN
ejpam-7172	340	4	method	method	NOUN
ejpam-7172	340	5	and	and	CCONJ
ejpam-7172	340	6	travelling	travel	VERB
ejpam-7172	340	7	wave	wave	NOUN
ejpam-7172	340	8	solutions	solution	NOUN
ejpam-7172	340	9	of	of	ADP
ejpam-7172	340	10	nonlinear	nonlinear	ADJ
ejpam-7172	340	11	evolution	evolution	NOUN
ejpam-7172	340	12	equations	equation	NOUN
ejpam-7172	340	13	in	in	ADP
ejpam-7172	340	14	mathematical	mathematical	ADJ
ejpam-7172	340	15	physics	physic	NOUN
ejpam-7172	340	16	.	.	PUNCT
ejpam-7172	341	1	physics	physics	PROPN
ejpam-7172	341	2	letters	letter	NOUN
ejpam-7172	341	3	a	a	PRON
ejpam-7172	341	4	,	,	PUNCT
ejpam-7172	341	5	372(4):417–423	372(4):417–423	NUM
ejpam-7172	341	6	,	,	PUNCT
ejpam-7172	341	7	2008	2008	NUM
ejpam-7172	341	8	.	.	PUNCT
ejpam-7172	342	1	[	[	X
ejpam-7172	342	2	6	6	NUM
ejpam-7172	342	3	]	]	PUNCT
ejpam-7172	342	4	huiqun	huiqun	PROPN
ejpam-7172	342	5	zhang	zhang	PROPN
ejpam-7172	342	6	.	.	PUNCT
ejpam-7172	343	1	new	new	ADJ
ejpam-7172	343	2	application	application	NOUN
ejpam-7172	343	3	of	of	ADP
ejpam-7172	343	4	the	the	DET
ejpam-7172	343	5	(	(	PUNCT
ejpam-7172	343	6	g′/g)−expansion	g′/g)−expansion	NOUN
ejpam-7172	343	7	method	method	NOUN
ejpam-7172	343	8	.	.	PUNCT
ejpam-7172	344	1	communications	communication	NOUN
ejpam-7172	344	2	in	in	ADP
ejpam-7172	344	3	nonlinear	nonlinear	ADJ
ejpam-7172	344	4	science	science	NOUN
ejpam-7172	344	5	and	and	CCONJ
ejpam-7172	344	6	numerical	numerical	PROPN
ejpam-7172	344	7	simulation	simulation	PROPN
ejpam-7172	344	8	,	,	PUNCT
ejpam-7172	344	9	14(8):3220–3225	14(8):3220–3225	NUM
ejpam-7172	344	10	,	,	PUNCT
ejpam-7172	344	11	2009	2009	NUM
ejpam-7172	344	12	.	.	PUNCT
ejpam-7172	345	1	[	[	X
ejpam-7172	345	2	7	7	X
ejpam-7172	345	3	]	]	X
ejpam-7172	345	4	abdul	abdul	PROPN
ejpam-7172	345	5	-	-	PUNCT
ejpam-7172	345	6	majid	majid	PROPN
ejpam-7172	345	7	wazwaz	wazwaz	NOUN
ejpam-7172	345	8	.	.	PUNCT
ejpam-7172	346	1	the	the	DET
ejpam-7172	346	2	sine	sine	ADJ
ejpam-7172	346	3	–	–	PUNCT
ejpam-7172	346	4	cosine	cosine	NOUN
ejpam-7172	346	5	method	method	NOUN
ejpam-7172	346	6	for	for	ADP
ejpam-7172	346	7	obtaining	obtain	VERB
ejpam-7172	346	8	solutions	solution	NOUN
ejpam-7172	346	9	with	with	ADP
ejpam-7172	346	10	compact	compact	ADJ
ejpam-7172	346	11	and	and	CCONJ
ejpam-7172	346	12	noncompact	noncompact	ADJ
ejpam-7172	346	13	structures	structure	NOUN
ejpam-7172	346	14	.	.	PUNCT
ejpam-7172	347	1	applied	apply	VERB
ejpam-7172	347	2	mathematics	mathematic	NOUN
ejpam-7172	347	3	and	and	CCONJ
ejpam-7172	347	4	computation	computation	NOUN
ejpam-7172	347	5	,	,	PUNCT
ejpam-7172	347	6	159(2):559–576	159(2):559–576	NUM
ejpam-7172	347	7	,	,	PUNCT
ejpam-7172	347	8	2004	2004	NUM
ejpam-7172	347	9	.	.	PUNCT
ejpam-7172	348	1	w.	w.	PROPN
ejpam-7172	348	2	w.	w.	PROPN
ejpam-7172	348	3	mohammed	mohammed	PROPN
ejpam-7172	348	4	et	et	PROPN
ejpam-7172	348	5	al	al	PROPN
ejpam-7172	348	6	.	.	PUNCT
ejpam-7172	348	7	/	/	SYM
ejpam-7172	348	8	eur	eur	PROPN
ejpam-7172	348	9	.	.	PUNCT
ejpam-7172	349	1	j.	j.	PROPN
ejpam-7172	349	2	pure	pure	PROPN
ejpam-7172	349	3	appl	appl	PROPN
ejpam-7172	349	4	.	.	PROPN
ejpam-7172	349	5	math	math	PROPN
ejpam-7172	349	6	,	,	PUNCT
ejpam-7172	349	7	18	18	NUM
ejpam-7172	349	8	(	(	PUNCT
ejpam-7172	349	9	4	4	NUM
ejpam-7172	349	10	)	)	PUNCT
ejpam-7172	349	11	(	(	PUNCT
ejpam-7172	349	12	2025	2025	NUM
ejpam-7172	349	13	)	)	PUNCT
ejpam-7172	349	14	,	,	PUNCT
ejpam-7172	349	15	7172	7172	NUM
ejpam-7172	349	16	21	21	NUM
ejpam-7172	349	17	of	of	ADP
ejpam-7172	349	18	22	22	NUM
ejpam-7172	350	1	[	[	X
ejpam-7172	350	2	8	8	NUM
ejpam-7172	350	3	]	]	X
ejpam-7172	350	4	amjad	amjad	PROPN
ejpam-7172	350	5	e	e	PROPN
ejpam-7172	350	6	hamza	hamza	PROPN
ejpam-7172	350	7	,	,	PUNCT
ejpam-7172	350	8	mohammad	mohammad	PROPN
ejpam-7172	350	9	alshammari	alshammari	PROPN
ejpam-7172	350	10	,	,	PUNCT
ejpam-7172	350	11	d	d	X
ejpam-7172	350	12	atta	atta	ADJ
ejpam-7172	350	13	,	,	PUNCT
ejpam-7172	350	14	and	and	CCONJ
ejpam-7172	350	15	wael	wael	PROPN
ejpam-7172	350	16	w	w	PROPN
ejpam-7172	350	17	mohammed	mohammed	PROPN
ejpam-7172	350	18	.	.	PUNCT
ejpam-7172	351	1	fractional	fractional	ADJ
ejpam-7172	351	2	-	-	PUNCT
ejpam-7172	351	3	stochastic	stochastic	NOUN
ejpam-7172	351	4	shallow	shallow	ADJ
ejpam-7172	351	5	water	water	NOUN
ejpam-7172	351	6	equations	equation	NOUN
ejpam-7172	351	7	and	and	CCONJ
ejpam-7172	351	8	its	its	PRON
ejpam-7172	351	9	analytical	analytical	ADJ
ejpam-7172	351	10	solutions	solution	NOUN
ejpam-7172	351	11	.	.	PUNCT
ejpam-7172	352	1	results	result	NOUN
ejpam-7172	352	2	in	in	ADP
ejpam-7172	352	3	physics	physics	NOUN
ejpam-7172	352	4	,	,	PUNCT
ejpam-7172	352	5	53:106953	53:106953	NUM
ejpam-7172	352	6	,	,	PUNCT
ejpam-7172	352	7	2023	2023	NUM
ejpam-7172	352	8	.	.	PUNCT
ejpam-7172	353	1	[	[	X
ejpam-7172	353	2	9	9	NUM
ejpam-7172	353	3	]	]	X
ejpam-7172	353	4	ji	ji	PROPN
ejpam-7172	353	5	-	-	PROPN
ejpam-7172	353	6	huan	huan	PROPN
ejpam-7172	353	7	he	he	PROPN
ejpam-7172	353	8	and	and	CCONJ
ejpam-7172	353	9	xu	xu	PROPN
ejpam-7172	353	10	-	-	PUNCT
ejpam-7172	353	11	hong	hong	PROPN
ejpam-7172	353	12	wu	wu	PROPN
ejpam-7172	353	13	.	.	PUNCT
ejpam-7172	354	1	exp	exp	NOUN
ejpam-7172	354	2	-	-	PUNCT
ejpam-7172	354	3	function	function	NOUN
ejpam-7172	354	4	method	method	NOUN
ejpam-7172	354	5	for	for	ADP
ejpam-7172	354	6	nonlinear	nonlinear	ADJ
ejpam-7172	354	7	wave	wave	NOUN
ejpam-7172	354	8	equations	equation	NOUN
ejpam-7172	354	9	.	.	PUNCT
ejpam-7172	355	1	chaos	chaos	NOUN
ejpam-7172	355	2	,	,	PUNCT
ejpam-7172	355	3	solitons	soliton	NOUN
ejpam-7172	355	4	&	&	CCONJ
ejpam-7172	355	5	fractals	fractal	NOUN
ejpam-7172	355	6	,	,	PUNCT
ejpam-7172	355	7	30(3):700–708	30(3):700–708	NUM
ejpam-7172	355	8	,	,	PUNCT
ejpam-7172	355	9	2006	2006	NUM
ejpam-7172	355	10	.	.	PUNCT
ejpam-7172	356	1	[	[	X
ejpam-7172	356	2	10	10	NUM
ejpam-7172	356	3	]	]	X
ejpam-7172	356	4	kamruzzaman	kamruzzaman	PROPN
ejpam-7172	356	5	khan	khan	PROPN
ejpam-7172	356	6	and	and	CCONJ
ejpam-7172	356	7	m	m	PROPN
ejpam-7172	356	8	ali	ali	PROPN
ejpam-7172	356	9	akbar	akbar	NOUN
ejpam-7172	356	10	.	.	PUNCT
ejpam-7172	357	1	the	the	DET
ejpam-7172	357	2	exp	exp	NOUN
ejpam-7172	357	3	(	(	PUNCT
ejpam-7172	357	4	ϕ	ϕ	X
ejpam-7172	357	5	(	(	PUNCT
ejpam-7172	357	6	ξ))–expansion	ξ))–expansion	NOUN
ejpam-7172	357	7	method	method	NOUN
ejpam-7172	357	8	for	for	ADP
ejpam-7172	357	9	finding	find	VERB
ejpam-7172	357	10	travelling	travel	VERB
ejpam-7172	357	11	wave	wave	NOUN
ejpam-7172	357	12	solutions	solution	NOUN
ejpam-7172	357	13	of	of	ADP
ejpam-7172	357	14	vakhnenko	vakhnenko	PROPN
ejpam-7172	357	15	–	–	PUNCT
ejpam-7172	357	16	parkes	parke	NOUN
ejpam-7172	357	17	equation	equation	NOUN
ejpam-7172	357	18	.	.	PUNCT
ejpam-7172	358	1	international	international	ADJ
ejpam-7172	358	2	journal	journal	NOUN
ejpam-7172	358	3	of	of	ADP
ejpam-7172	358	4	dynamical	dynamical	ADJ
ejpam-7172	358	5	systems	system	NOUN
ejpam-7172	358	6	and	and	CCONJ
ejpam-7172	358	7	differential	differential	ADJ
ejpam-7172	358	8	equations	equation	NOUN
ejpam-7172	358	9	,	,	PUNCT
ejpam-7172	358	10	5(1):72–83	5(1):72–83	NUM
ejpam-7172	358	11	,	,	PUNCT
ejpam-7172	358	12	2014	2014	NUM
ejpam-7172	358	13	.	.	PUNCT
ejpam-7172	359	1	[	[	X
ejpam-7172	359	2	11	11	NUM
ejpam-7172	359	3	]	]	X
ejpam-7172	359	4	farah	farah	PROPN
ejpam-7172	359	5	m	m	PROPN
ejpam-7172	359	6	al	al	PROPN
ejpam-7172	359	7	-	-	PUNCT
ejpam-7172	359	8	askar	askar	PROPN
ejpam-7172	359	9	,	,	PUNCT
ejpam-7172	359	10	wael	wael	PROPN
ejpam-7172	359	11	w	w	PROPN
ejpam-7172	359	12	mohammed	mohammed	PROPN
ejpam-7172	359	13	,	,	PUNCT
ejpam-7172	359	14	and	and	CCONJ
ejpam-7172	359	15	mohammad	mohammad	PROPN
ejpam-7172	359	16	alshammari	alshammari	PROPN
ejpam-7172	359	17	.	.	PUNCT
ejpam-7172	360	1	impact	impact	NOUN
ejpam-7172	360	2	of	of	ADP
ejpam-7172	360	3	brownian	brownian	ADJ
ejpam-7172	360	4	motion	motion	NOUN
ejpam-7172	360	5	on	on	ADP
ejpam-7172	360	6	the	the	DET
ejpam-7172	360	7	analytical	analytical	ADJ
ejpam-7172	360	8	solutions	solution	NOUN
ejpam-7172	360	9	of	of	ADP
ejpam-7172	360	10	the	the	DET
ejpam-7172	360	11	space	space	NOUN
ejpam-7172	360	12	-	-	PUNCT
ejpam-7172	360	13	fractional	fractional	ADJ
ejpam-7172	360	14	stochastic	stochastic	ADJ
ejpam-7172	360	15	approximate	approximate	ADJ
ejpam-7172	360	16	long	long	ADJ
ejpam-7172	360	17	water	water	NOUN
ejpam-7172	360	18	wave	wave	NOUN
ejpam-7172	360	19	equation	equation	NOUN
ejpam-7172	360	20	.	.	PUNCT
ejpam-7172	361	1	symmetry	symmetry	PROPN
ejpam-7172	361	2	,	,	PUNCT
ejpam-7172	361	3	14(4):740	14(4):740	NUM
ejpam-7172	361	4	,	,	PUNCT
ejpam-7172	361	5	2022	2022	NUM
ejpam-7172	361	6	.	.	PUNCT
ejpam-7172	362	1	[	[	X
ejpam-7172	362	2	12	12	NUM
ejpam-7172	362	3	]	]	X
ejpam-7172	362	4	zhenya	zhenya	PROPN
ejpam-7172	362	5	yan	yan	PROPN
ejpam-7172	362	6	.	.	PUNCT
ejpam-7172	363	1	abundant	abundant	ADJ
ejpam-7172	363	2	families	family	NOUN
ejpam-7172	363	3	of	of	ADP
ejpam-7172	363	4	jacobi	jacobi	PROPN
ejpam-7172	363	5	elliptic	elliptic	ADJ
ejpam-7172	363	6	function	function	NOUN
ejpam-7172	363	7	solutions	solution	NOUN
ejpam-7172	363	8	of	of	ADP
ejpam-7172	363	9	the	the	DET
ejpam-7172	363	10	(	(	PUNCT
ejpam-7172	363	11	2	2	NUM
ejpam-7172	363	12	+	+	SYM
ejpam-7172	363	13	1)dimensional	1)dimensional	NUM
ejpam-7172	363	14	integrable	integrable	ADJ
ejpam-7172	363	15	davey	davey	NOUN
ejpam-7172	363	16	–	–	PUNCT
ejpam-7172	363	17	stewartson	stewartson	NOUN
ejpam-7172	363	18	-	-	PUNCT
ejpam-7172	363	19	type	type	NOUN
ejpam-7172	363	20	equation	equation	NOUN
ejpam-7172	363	21	via	via	ADP
ejpam-7172	363	22	a	a	DET
ejpam-7172	363	23	new	new	ADJ
ejpam-7172	363	24	method	method	NOUN
ejpam-7172	363	25	.	.	PUNCT
ejpam-7172	364	1	chaos	chaos	NOUN
ejpam-7172	364	2	,	,	PUNCT
ejpam-7172	364	3	solitons	soliton	NOUN
ejpam-7172	364	4	&	&	CCONJ
ejpam-7172	364	5	fractals	fractal	NOUN
ejpam-7172	364	6	,	,	PUNCT
ejpam-7172	364	7	18(2):299–309	18(2):299–309	NUM
ejpam-7172	364	8	,	,	PUNCT
ejpam-7172	364	9	2003	2003	NUM
ejpam-7172	364	10	.	.	PUNCT
ejpam-7172	365	1	[	[	X
ejpam-7172	365	2	13	13	NUM
ejpam-7172	365	3	]	]	X
ejpam-7172	365	4	naveed	naveed	PROPN
ejpam-7172	365	5	iqbal	iqbal	PROPN
ejpam-7172	365	6	,	,	PUNCT
ejpam-7172	365	7	safyan	safyan	PROPN
ejpam-7172	365	8	mukhtar	mukhtar	PROPN
ejpam-7172	365	9	,	,	PUNCT
ejpam-7172	365	10	abdulkafi	abdulkafi	PROPN
ejpam-7172	365	11	m.	m.	PROPN
ejpam-7172	365	12	saeed	saeed	PROPN
ejpam-7172	365	13	,	,	PUNCT
ejpam-7172	365	14	rasool	rasool	NOUN
ejpam-7172	365	15	shah	shah	NOUN
ejpam-7172	365	16	,	,	PUNCT
ejpam-7172	365	17	and	and	CCONJ
ejpam-7172	365	18	shah	shah	PROPN
ejpam-7172	365	19	hussain	hussain	PROPN
ejpam-7172	365	20	.	.	PUNCT
ejpam-7172	366	1	new	new	ADJ
ejpam-7172	366	2	solitary	solitary	ADJ
ejpam-7172	366	3	and	and	CCONJ
ejpam-7172	366	4	soliton	soliton	NOUN
ejpam-7172	366	5	wave	wave	NOUN
ejpam-7172	366	6	solutions	solution	NOUN
ejpam-7172	366	7	of	of	ADP
ejpam-7172	366	8	the	the	DET
ejpam-7172	366	9	fractional	fractional	ADJ
ejpam-7172	366	10	higgs	higgs	NOUN
ejpam-7172	366	11	system	system	NOUN
ejpam-7172	366	12	using	use	VERB
ejpam-7172	366	13	a	a	DET
ejpam-7172	366	14	riccatibernoulli	riccatibernoulli	NOUN
ejpam-7172	366	15	and	and	CCONJ
ejpam-7172	366	16	bäcklund	bäcklund	NOUN
ejpam-7172	366	17	framework	framework	NOUN
ejpam-7172	366	18	.	.	PUNCT
ejpam-7172	367	1	nonlinear	nonlinear	ADJ
ejpam-7172	367	2	dynamics	dynamic	NOUN
ejpam-7172	367	3	,	,	PUNCT
ejpam-7172	367	4	113:26505–26519	113:26505–26519	NUM
ejpam-7172	367	5	,	,	PUNCT
ejpam-7172	367	6	2025	2025	NUM
ejpam-7172	367	7	.	.	PUNCT
ejpam-7172	368	1	[	[	X
ejpam-7172	368	2	14	14	NUM
ejpam-7172	368	3	]	]	PUNCT
ejpam-7172	368	4	m.	m.	NOUN
ejpam-7172	368	5	mossa	mossa	PROPN
ejpam-7172	368	6	al	al	PROPN
ejpam-7172	368	7	-	-	PUNCT
ejpam-7172	368	8	sawalha	sawalha	NOUN
ejpam-7172	368	9	,	,	PUNCT
ejpam-7172	368	10	saima	saima	PROPN
ejpam-7172	368	11	noor	noor	PROPN
ejpam-7172	368	12	,	,	PUNCT
ejpam-7172	368	13	mohammad	mohammad	PROPN
ejpam-7172	368	14	alqudah	alqudah	PROPN
ejpam-7172	368	15	,	,	PUNCT
ejpam-7172	368	16	musaad	musaad	PROPN
ejpam-7172	368	17	s.	s.	PROPN
ejpam-7172	368	18	aldhabani	aldhabani	PROPN
ejpam-7172	368	19	,	,	PUNCT
ejpam-7172	368	20	and	and	CCONJ
ejpam-7172	368	21	roman	roman	ADJ
ejpam-7172	368	22	ullah	ullah	PROPN
ejpam-7172	368	23	.	.	PUNCT
ejpam-7172	368	24	dynamics	dynamic	NOUN
ejpam-7172	368	25	of	of	ADP
ejpam-7172	368	26	the	the	DET
ejpam-7172	368	27	traveling	travel	VERB
ejpam-7172	368	28	wave	wave	NOUN
ejpam-7172	368	29	solutions	solution	NOUN
ejpam-7172	368	30	of	of	ADP
ejpam-7172	368	31	fractional	fractional	ADJ
ejpam-7172	368	32	date	date	NOUN
ejpam-7172	368	33	–	–	PUNCT
ejpam-7172	368	34	jimbo	jimbo	PROPN
ejpam-7172	368	35	–	–	PUNCT
ejpam-7172	368	36	kashiwara	kashiwara	PROPN
ejpam-7172	368	37	–	–	PUNCT
ejpam-7172	368	38	miwa	miwa	PROPN
ejpam-7172	368	39	equation	equation	NOUN
ejpam-7172	368	40	via	via	ADP
ejpam-7172	368	41	riccati	riccati	PROPN
ejpam-7172	368	42	–	–	PUNCT
ejpam-7172	368	43	bernoulli	bernoulli	PROPN
ejpam-7172	368	44	sub	sub	ADJ
ejpam-7172	368	45	-	-	ADJ
ejpam-7172	368	46	ode	ode	ADJ
ejpam-7172	368	47	method	method	NOUN
ejpam-7172	368	48	through	through	ADP
ejpam-7172	368	49	bäcklund	bäcklund	NOUN
ejpam-7172	368	50	transformation	transformation	NOUN
ejpam-7172	368	51	.	.	PUNCT
ejpam-7172	369	1	fractal	fractal	ADJ
ejpam-7172	369	2	and	and	CCONJ
ejpam-7172	369	3	fraction	fraction	NOUN
ejpam-7172	369	4	,	,	PUNCT
ejpam-7172	369	5	8:497	8:497	NUM
ejpam-7172	369	6	,	,	PUNCT
ejpam-7172	369	7	2024	2024	NUM
ejpam-7172	369	8	.	.	PUNCT
ejpam-7172	370	1	[	[	X
ejpam-7172	370	2	15	15	NUM
ejpam-7172	370	3	]	]	X
ejpam-7172	370	4	roshdi	roshdi	NOUN
ejpam-7172	370	5	khalil	khalil	PROPN
ejpam-7172	370	6	,	,	PUNCT
ejpam-7172	370	7	mohammed	mohammed	PROPN
ejpam-7172	370	8	al	al	PROPN
ejpam-7172	370	9	horani	horani	PROPN
ejpam-7172	370	10	,	,	PUNCT
ejpam-7172	370	11	abdelrahman	abdelrahman	NOUN
ejpam-7172	370	12	yousef	yousef	PROPN
ejpam-7172	370	13	,	,	PUNCT
ejpam-7172	370	14	and	and	CCONJ
ejpam-7172	370	15	mohammad	mohammad	PROPN
ejpam-7172	370	16	sababheh	sababheh	PROPN
ejpam-7172	370	17	.	.	PUNCT
ejpam-7172	371	1	a	a	DET
ejpam-7172	371	2	new	new	ADJ
ejpam-7172	371	3	definition	definition	NOUN
ejpam-7172	371	4	of	of	ADP
ejpam-7172	371	5	fractional	fractional	ADJ
ejpam-7172	371	6	derivative	derivative	NOUN
ejpam-7172	371	7	.	.	PUNCT
ejpam-7172	372	1	journal	journal	PROPN
ejpam-7172	372	2	of	of	ADP
ejpam-7172	372	3	computational	computational	ADJ
ejpam-7172	372	4	and	and	CCONJ
ejpam-7172	372	5	applied	applied	ADJ
ejpam-7172	372	6	mathematics	mathematic	NOUN
ejpam-7172	372	7	,	,	PUNCT
ejpam-7172	372	8	264:65–70	264:65–70	NUM
ejpam-7172	372	9	,	,	PUNCT
ejpam-7172	372	10	2014	2014	NUM
ejpam-7172	372	11	.	.	PUNCT
ejpam-7172	373	1	[	[	X
ejpam-7172	373	2	16	16	NUM
ejpam-7172	373	3	]	]	X
ejpam-7172	373	4	hamood	hamood	PROPN
ejpam-7172	373	5	ur	ur	PROPN
ejpam-7172	373	6	rehman	rehman	PROPN
ejpam-7172	373	7	,	,	PUNCT
ejpam-7172	373	8	ifrah	ifrah	PROPN
ejpam-7172	373	9	iqbal	iqbal	PROPN
ejpam-7172	373	10	,	,	PUNCT
ejpam-7172	373	11	suhad	suhad	VERB
ejpam-7172	373	12	subhi	subhi	PROPN
ejpam-7172	373	13	aiadi	aiadi	PROPN
ejpam-7172	373	14	,	,	PUNCT
ejpam-7172	373	15	nabil	nabil	PROPN
ejpam-7172	373	16	mlaiki	mlaiki	PROPN
ejpam-7172	373	17	,	,	PUNCT
ejpam-7172	373	18	and	and	CCONJ
ejpam-7172	373	19	muhammad	muhammad	PROPN
ejpam-7172	373	20	shoaib	shoaib	PROPN
ejpam-7172	373	21	saleem	saleem	PROPN
ejpam-7172	373	22	.	.	PUNCT
ejpam-7172	374	1	soliton	soliton	NOUN
ejpam-7172	374	2	solutions	solution	NOUN
ejpam-7172	374	3	of	of	ADP
ejpam-7172	374	4	klein	klein	PROPN
ejpam-7172	374	5	–	–	PUNCT
ejpam-7172	374	6	fock	fock	ADJ
ejpam-7172	374	7	–	–	PUNCT
ejpam-7172	374	8	gordon	gordon	NOUN
ejpam-7172	374	9	equation	equation	NOUN
ejpam-7172	374	10	using	use	VERB
ejpam-7172	374	11	sardar	sardar	PROPN
ejpam-7172	374	12	subequation	subequation	NOUN
ejpam-7172	374	13	method	method	NOUN
ejpam-7172	374	14	.	.	PUNCT
ejpam-7172	375	1	mathematics	mathematic	NOUN
ejpam-7172	375	2	,	,	PUNCT
ejpam-7172	375	3	10(18):3377	10(18):3377	NUM
ejpam-7172	375	4	,	,	PUNCT
ejpam-7172	375	5	2022	2022	NUM
ejpam-7172	375	6	.	.	PUNCT
ejpam-7172	376	1	[	[	X
ejpam-7172	376	2	17	17	NUM
ejpam-7172	376	3	]	]	PUNCT
ejpam-7172	376	4	dongmei	dongmei	NOUN
ejpam-7172	376	5	bai	bai	NOUN
ejpam-7172	376	6	and	and	CCONJ
ejpam-7172	376	7	luming	lume	VERB
ejpam-7172	376	8	zhang	zhang	PROPN
ejpam-7172	376	9	.	.	PUNCT
ejpam-7172	377	1	the	the	DET
ejpam-7172	377	2	finite	finite	PROPN
ejpam-7172	377	3	element	element	NOUN
ejpam-7172	377	4	method	method	NOUN
ejpam-7172	377	5	for	for	ADP
ejpam-7172	377	6	the	the	DET
ejpam-7172	377	7	coupled	couple	VERB
ejpam-7172	377	8	schrödinger	schrödinger	ADJ
ejpam-7172	377	9	–	–	PUNCT
ejpam-7172	377	10	kdv	kdv	NOUN
ejpam-7172	377	11	equations	equation	NOUN
ejpam-7172	377	12	.	.	PUNCT
ejpam-7172	378	1	physics	physics	NOUN
ejpam-7172	378	2	letters	letter	NOUN
ejpam-7172	378	3	a	a	DET
ejpam-7172	378	4	,	,	PUNCT
ejpam-7172	378	5	373(26):2237–2244	373(26):2237–2244	NUM
ejpam-7172	378	6	,	,	PUNCT
ejpam-7172	378	7	2009	2009	NUM
ejpam-7172	378	8	.	.	PUNCT
ejpam-7172	379	1	[	[	X
ejpam-7172	379	2	18	18	NUM
ejpam-7172	379	3	]	]	SYM
ejpam-7172	379	4	jonu	jonu	NOUN
ejpam-7172	379	5	lee	lee	PROPN
ejpam-7172	379	6	and	and	CCONJ
ejpam-7172	379	7	rathinasamy	rathinasamy	ADJ
ejpam-7172	379	8	sakthivel	sakthivel	NOUN
ejpam-7172	379	9	.	.	PUNCT
ejpam-7172	380	1	exact	exact	ADJ
ejpam-7172	380	2	travelling	travel	VERB
ejpam-7172	380	3	wave	wave	NOUN
ejpam-7172	380	4	solutions	solution	NOUN
ejpam-7172	380	5	for	for	ADP
ejpam-7172	380	6	some	some	DET
ejpam-7172	380	7	important	important	ADJ
ejpam-7172	380	8	nonlinear	nonlinear	ADJ
ejpam-7172	380	9	physical	physical	ADJ
ejpam-7172	380	10	models	model	NOUN
ejpam-7172	380	11	.	.	PUNCT
ejpam-7172	381	1	pramana	pramana	PROPN
ejpam-7172	381	2	,	,	PUNCT
ejpam-7172	381	3	80(5):757–769	80(5):757–769	PROPN
ejpam-7172	381	4	,	,	PUNCT
ejpam-7172	381	5	2013	2013	NUM
ejpam-7172	381	6	.	.	PUNCT
ejpam-7172	382	1	[	[	X
ejpam-7172	382	2	19	19	NUM
ejpam-7172	382	3	]	]	X
ejpam-7172	382	4	dogan	dogan	PROPN
ejpam-7172	382	5	kaya	kaya	PROPN
ejpam-7172	382	6	and	and	CCONJ
ejpam-7172	382	7	salah	salah	PROPN
ejpam-7172	382	8	m	m	PROPN
ejpam-7172	382	9	el	el	PROPN
ejpam-7172	382	10	-	-	PUNCT
ejpam-7172	382	11	sayed	say	VERB
ejpam-7172	382	12	.	.	PUNCT
ejpam-7172	383	1	on	on	ADP
ejpam-7172	383	2	the	the	DET
ejpam-7172	383	3	solution	solution	NOUN
ejpam-7172	383	4	of	of	ADP
ejpam-7172	383	5	the	the	DET
ejpam-7172	383	6	coupled	couple	VERB
ejpam-7172	383	7	schrödinger	schrödinger	ADJ
ejpam-7172	383	8	–	–	PUNCT
ejpam-7172	383	9	kdv	kdv	NOUN
ejpam-7172	383	10	equation	equation	NOUN
ejpam-7172	383	11	by	by	ADP
ejpam-7172	383	12	the	the	DET
ejpam-7172	383	13	decomposition	decomposition	NOUN
ejpam-7172	383	14	method	method	NOUN
ejpam-7172	383	15	.	.	PUNCT
ejpam-7172	384	1	physics	physics	NOUN
ejpam-7172	384	2	letters	letter	NOUN
ejpam-7172	384	3	a	a	DET
ejpam-7172	384	4	,	,	PUNCT
ejpam-7172	384	5	313(1	313(1	NUM
ejpam-7172	384	6	-	-	SYM
ejpam-7172	384	7	2):82–88	2):82–88	NUM
ejpam-7172	384	8	,	,	PUNCT
ejpam-7172	384	9	2003	2003	NUM
ejpam-7172	384	10	.	.	PUNCT
ejpam-7172	385	1	[	[	X
ejpam-7172	385	2	20	20	NUM
ejpam-7172	385	3	]	]	X
ejpam-7172	385	4	ms	ms	PROPN
ejpam-7172	385	5	ismail	ismail	PROPN
ejpam-7172	385	6	,	,	PUNCT
ejpam-7172	385	7	farida	farida	PROPN
ejpam-7172	385	8	m	m	VERB
ejpam-7172	385	9	mosally	mosally	ADV
ejpam-7172	385	10	,	,	PUNCT
ejpam-7172	385	11	and	and	CCONJ
ejpam-7172	385	12	khadeejah	khadeejah	PROPN
ejpam-7172	385	13	m	m	PROPN
ejpam-7172	385	14	alamoudi	alamoudi	PROPN
ejpam-7172	385	15	.	.	PUNCT
ejpam-7172	386	1	petrov	petrov	PROPN
ejpam-7172	386	2	-	-	PUNCT
ejpam-7172	386	3	galerkin	galerkin	PROPN
ejpam-7172	386	4	method	method	NOUN
ejpam-7172	386	5	for	for	ADP
ejpam-7172	386	6	the	the	DET
ejpam-7172	386	7	coupled	couple	VERB
ejpam-7172	386	8	schrödinger	schrödinger	ADJ
ejpam-7172	386	9	-	-	PUNCT
ejpam-7172	386	10	kdv	kdv	NOUN
ejpam-7172	386	11	equation	equation	NOUN
ejpam-7172	386	12	.	.	PUNCT
ejpam-7172	387	1	in	in	ADP
ejpam-7172	387	2	abstract	abstract	ADJ
ejpam-7172	387	3	and	and	CCONJ
ejpam-7172	387	4	applied	apply	VERB
ejpam-7172	387	5	analysis	analysis	NOUN
ejpam-7172	387	6	,	,	PUNCT
ejpam-7172	387	7	volume	volume	NOUN
ejpam-7172	387	8	2014	2014	NUM
ejpam-7172	387	9	,	,	PUNCT
ejpam-7172	387	10	page	page	NOUN
ejpam-7172	387	11	705204	705204	NUM
ejpam-7172	387	12	,	,	PUNCT
ejpam-7172	387	13	2014	2014	NUM
ejpam-7172	387	14	.	.	PUNCT
ejpam-7172	388	1	[	[	X
ejpam-7172	388	2	21	21	NUM
ejpam-7172	388	3	]	]	X
ejpam-7172	388	4	ali	ali	PROPN
ejpam-7172	388	5	filiz	filiz	PROPN
ejpam-7172	388	6	,	,	PUNCT
ejpam-7172	388	7	mehmet	mehmet	PROPN
ejpam-7172	388	8	ekici	ekici	PROPN
ejpam-7172	388	9	,	,	PUNCT
ejpam-7172	388	10	and	and	CCONJ
ejpam-7172	388	11	abdullah	abdullah	PROPN
ejpam-7172	388	12	sonmezoglu	sonmezoglu	PROPN
ejpam-7172	388	13	.	.	PUNCT
ejpam-7172	389	1	f	f	X
ejpam-7172	389	2	-	-	PUNCT
ejpam-7172	389	3	expansion	expansion	NOUN
ejpam-7172	389	4	method	method	NOUN
ejpam-7172	389	5	and	and	CCONJ
ejpam-7172	389	6	new	new	ADJ
ejpam-7172	389	7	exact	exact	ADJ
ejpam-7172	389	8	solutions	solution	NOUN
ejpam-7172	389	9	of	of	ADP
ejpam-7172	389	10	the	the	DET
ejpam-7172	389	11	schrödinger	schrödinger	ADJ
ejpam-7172	389	12	-	-	PUNCT
ejpam-7172	389	13	kdv	kdv	NOUN
ejpam-7172	389	14	equation	equation	NOUN
ejpam-7172	389	15	.	.	PUNCT
ejpam-7172	390	1	the	the	DET
ejpam-7172	390	2	scientific	scientific	ADJ
ejpam-7172	390	3	world	world	NOUN
ejpam-7172	390	4	journal	journal	NOUN
ejpam-7172	390	5	,	,	PUNCT
ejpam-7172	390	6	2014:34063	2014:34063	NUM
ejpam-7172	390	7	,	,	PUNCT
ejpam-7172	390	8	2014	2014	NUM
ejpam-7172	390	9	.	.	PUNCT
ejpam-7172	391	1	[	[	X
ejpam-7172	391	2	22	22	NUM
ejpam-7172	391	3	]	]	X
ejpam-7172	391	4	cheng	cheng	PROPN
ejpam-7172	391	5	-	-	PUNCT
ejpam-7172	391	6	lin	lin	PROPN
ejpam-7172	391	7	bai	bai	PROPN
ejpam-7172	391	8	and	and	CCONJ
ejpam-7172	391	9	hong	hong	PROPN
ejpam-7172	391	10	zhao	zhao	PROPN
ejpam-7172	391	11	.	.	PUNCT
ejpam-7172	392	1	complex	complex	ADJ
ejpam-7172	392	2	hyperbolic	hyperbolic	ADJ
ejpam-7172	392	3	-	-	PUNCT
ejpam-7172	392	4	function	function	NOUN
ejpam-7172	392	5	method	method	NOUN
ejpam-7172	392	6	and	and	CCONJ
ejpam-7172	392	7	its	its	PRON
ejpam-7172	392	8	applications	application	NOUN
ejpam-7172	392	9	to	to	ADP
ejpam-7172	392	10	nonlinear	nonlinear	ADJ
ejpam-7172	392	11	equations	equation	NOUN
ejpam-7172	392	12	.	.	PUNCT
ejpam-7172	393	1	physics	physics	NOUN
ejpam-7172	393	2	letters	letter	NOUN
ejpam-7172	393	3	a	a	PRON
ejpam-7172	393	4	,	,	PUNCT
ejpam-7172	393	5	355(1):32–38	355(1):32–38	PROPN
ejpam-7172	393	6	,	,	PUNCT
ejpam-7172	393	7	2006	2006	NUM
ejpam-7172	393	8	.	.	PUNCT
ejpam-7172	394	1	[	[	X
ejpam-7172	394	2	23	23	NUM
ejpam-7172	394	3	]	]	X
ejpam-7172	394	4	hadi	hadi	PROPN
ejpam-7172	394	5	rezazadeh	rezazadeh	PROPN
ejpam-7172	394	6	,	,	PUNCT
ejpam-7172	394	7	amin	amin	NOUN
ejpam-7172	394	8	gholami	gholami	PROPN
ejpam-7172	394	9	davodi	davodi	PROPN
ejpam-7172	394	10	,	,	PUNCT
ejpam-7172	394	11	and	and	CCONJ
ejpam-7172	394	12	dariush	dariush	PROPN
ejpam-7172	394	13	gholami	gholami	NOUN
ejpam-7172	394	14	.	.	PUNCT
ejpam-7172	395	1	combined	combine	VERB
ejpam-7172	395	2	formal	formal	ADJ
ejpam-7172	395	3	periodic	periodic	ADJ
ejpam-7172	395	4	wave	wave	NOUN
ejpam-7172	395	5	-	-	PUNCT
ejpam-7172	395	6	like	like	ADJ
ejpam-7172	395	7	and	and	CCONJ
ejpam-7172	395	8	soliton	soliton	NOUN
ejpam-7172	395	9	-	-	PUNCT
ejpam-7172	395	10	like	like	ADJ
ejpam-7172	395	11	solutions	solution	NOUN
ejpam-7172	395	12	of	of	ADP
ejpam-7172	395	13	the	the	DET
ejpam-7172	395	14	conformable	conformable	ADJ
ejpam-7172	395	15	schrödinger	schrödinger	ADJ
ejpam-7172	395	16	-	-	PUNCT
ejpam-7172	395	17	kdv	kdv	NOUN
ejpam-7172	395	18	equation	equation	NOUN
ejpam-7172	395	19	w.	w.	PROPN
ejpam-7172	395	20	w.	w.	PROPN
ejpam-7172	395	21	mohammed	mohammed	PROPN
ejpam-7172	395	22	et	et	PROPN
ejpam-7172	395	23	al	al	PROPN
ejpam-7172	395	24	.	.	PUNCT
ejpam-7172	395	25	/	/	SYM
ejpam-7172	395	26	eur	eur	PROPN
ejpam-7172	395	27	.	.	PUNCT
ejpam-7172	396	1	j.	j.	PROPN
ejpam-7172	396	2	pure	pure	PROPN
ejpam-7172	396	3	appl	appl	PROPN
ejpam-7172	396	4	.	.	PROPN
ejpam-7172	396	5	math	math	PROPN
ejpam-7172	396	6	,	,	PUNCT
ejpam-7172	396	7	18	18	NUM
ejpam-7172	396	8	(	(	PUNCT
ejpam-7172	396	9	4	4	NUM
ejpam-7172	396	10	)	)	PUNCT
ejpam-7172	396	11	(	(	PUNCT
ejpam-7172	396	12	2025	2025	NUM
ejpam-7172	396	13	)	)	PUNCT
ejpam-7172	396	14	,	,	PUNCT
ejpam-7172	396	15	7172	7172	NUM
ejpam-7172	396	16	22	22	NUM
ejpam-7172	396	17	of	of	ADP
ejpam-7172	396	18	22	22	NUM
ejpam-7172	396	19	using	use	VERB
ejpam-7172	396	20	the	the	DET
ejpam-7172	396	21	g′/g−expansion	g′/g−expansion	NOUN
ejpam-7172	396	22	technique	technique	NOUN
ejpam-7172	396	23	.	.	PUNCT
ejpam-7172	397	1	results	result	NOUN
ejpam-7172	397	2	in	in	ADP
ejpam-7172	397	3	physics	physics	NOUN
ejpam-7172	397	4	,	,	PUNCT
ejpam-7172	397	5	47:106352	47:106352	NUM
ejpam-7172	397	6	,	,	PUNCT
ejpam-7172	397	7	2023	2023	NUM
ejpam-7172	397	8	.	.	PUNCT
ejpam-7172	398	1	[	[	X
ejpam-7172	398	2	24	24	NUM
ejpam-7172	398	3	]	]	X
ejpam-7172	398	4	md	md	PROPN
ejpam-7172	398	5	mashiur	mashiur	PROPN
ejpam-7172	398	6	rahhman	rahhman	PROPN
ejpam-7172	398	7	,	,	PUNCT
ejpam-7172	398	8	ayrin	ayrin	PROPN
ejpam-7172	398	9	aktar	aktar	PROPN
ejpam-7172	398	10	,	,	PUNCT
ejpam-7172	398	11	and	and	CCONJ
ejpam-7172	398	12	kamalesh	kamalesh	PROPN
ejpam-7172	398	13	chandra	chandra	PROPN
ejpam-7172	398	14	roy	roy	PROPN
ejpam-7172	398	15	.	.	PROPN
ejpam-7172	398	16	analytical	analytical	ADJ
ejpam-7172	398	17	solutions	solution	NOUN
ejpam-7172	398	18	of	of	ADP
ejpam-7172	398	19	nonlinear	nonlinear	ADJ
ejpam-7172	398	20	coupled	couple	VERB
ejpam-7172	398	21	schrodinger	schrodinger	NOUN
ejpam-7172	398	22	–	–	PUNCT
ejpam-7172	398	23	kdv	kdv	NOUN
ejpam-7172	398	24	equation	equation	NOUN
ejpam-7172	398	25	via	via	ADP
ejpam-7172	398	26	advance	advance	NOUN
ejpam-7172	398	27	exponential	exponential	ADJ
ejpam-7172	398	28	expansion	expansion	NOUN
ejpam-7172	398	29	.	.	PUNCT
ejpam-7172	399	1	american	american	ADJ
ejpam-7172	399	2	journal	journal	PROPN
ejpam-7172	399	3	of	of	ADP
ejpam-7172	399	4	mathematical	mathematical	ADJ
ejpam-7172	399	5	and	and	CCONJ
ejpam-7172	399	6	computer	computer	NOUN
ejpam-7172	399	7	modelling	modelling	NOUN
ejpam-7172	399	8	,	,	PUNCT
ejpam-7172	399	9	3(3):46–51	3(3):46–51	NUM
ejpam-7172	399	10	,	,	PUNCT
ejpam-7172	399	11	2018	2018	NUM
ejpam-7172	399	12	.	.	PUNCT
ejpam-7172	400	1	[	[	X
ejpam-7172	400	2	25	25	NUM
ejpam-7172	400	3	]	]	PUNCT
ejpam-7172	400	4	sofian	sofian	PROPN
ejpam-7172	400	5	t	t	PROPN
ejpam-7172	400	6	obeidat	obeidat	NOUN
ejpam-7172	400	7	,	,	PUNCT
ejpam-7172	400	8	wael	wael	PROPN
ejpam-7172	400	9	w	w	PROPN
ejpam-7172	400	10	mohammed	mohammed	PROPN
ejpam-7172	400	11	,	,	PUNCT
ejpam-7172	400	12	and	and	CCONJ
ejpam-7172	400	13	mona	mona	PROPN
ejpam-7172	400	14	anis	anis	PROPN
ejpam-7172	400	15	.	.	PUNCT
ejpam-7172	401	1	multiple	multiple	ADJ
ejpam-7172	401	2	elliptic	elliptic	ADJ
ejpam-7172	401	3	,	,	PUNCT
ejpam-7172	401	4	hyperbolic	hyperbolic	ADJ
ejpam-7172	401	5	and	and	CCONJ
ejpam-7172	401	6	trigonometric	trigonometric	ADJ
ejpam-7172	401	7	stochastic	stochastic	ADJ
ejpam-7172	401	8	solutions	solution	NOUN
ejpam-7172	401	9	-	-	PUNCT
ejpam-7172	401	10	for	for	ADP
ejpam-7172	401	11	the	the	DET
ejpam-7172	401	12	stochastic	stochastic	NOUN
ejpam-7172	401	13	coupled	couple	VERB
ejpam-7172	401	14	schrödingerkdv	schrödingerkdv	NOUN
ejpam-7172	401	15	equations	equation	NOUN
ejpam-7172	401	16	in	in	ADP
ejpam-7172	401	17	dusty	dusty	ADJ
ejpam-7172	401	18	plasma	plasma	NOUN
ejpam-7172	401	19	.	.	PUNCT
ejpam-7172	402	1	contemporary	contemporary	ADJ
ejpam-7172	402	2	mathematics	mathematic	NOUN
ejpam-7172	402	3	,	,	PUNCT
ejpam-7172	402	4	6:7099–7132	6:7099–7132	NUM
ejpam-7172	402	5	,	,	PUNCT
ejpam-7172	402	6	2025	2025	NUM
ejpam-7172	402	7	.	.	PUNCT
ejpam-7172	403	1	[	[	X
ejpam-7172	403	2	26	26	NUM
ejpam-7172	403	3	]	]	X
ejpam-7172	403	4	taseer	taseer	PROPN
ejpam-7172	403	5	muhammad	muhammad	PROPN
ejpam-7172	403	6	,	,	PUNCT
ejpam-7172	403	7	ahmed	ahme	VERB
ejpam-7172	403	8	a	a	DET
ejpam-7172	403	9	hamoud	hamoud	NOUN
ejpam-7172	403	10	,	,	PUNCT
ejpam-7172	403	11	homan	homan	PROPN
ejpam-7172	403	12	emadifar	emadifar	PROPN
ejpam-7172	403	13	,	,	PUNCT
ejpam-7172	403	14	faraidun	faraidun	VERB
ejpam-7172	403	15	k	k	PROPN
ejpam-7172	403	16	hamasalh	hamasalh	PROPN
ejpam-7172	403	17	,	,	PUNCT
ejpam-7172	403	18	hooshmand	hooshmand	PROPN
ejpam-7172	403	19	azizi	azizi	PROPN
ejpam-7172	403	20	,	,	PUNCT
ejpam-7172	403	21	and	and	CCONJ
ejpam-7172	403	22	masoumeh	masoumeh	PROPN
ejpam-7172	403	23	khademi	khademi	NOUN
ejpam-7172	403	24	.	.	PUNCT
ejpam-7172	404	1	traveling	travel	VERB
ejpam-7172	404	2	wave	wave	NOUN
ejpam-7172	404	3	solutions	solution	NOUN
ejpam-7172	404	4	to	to	ADP
ejpam-7172	404	5	the	the	DET
ejpam-7172	404	6	boussinesq	boussinesq	ADJ
ejpam-7172	404	7	equation	equation	NOUN
ejpam-7172	404	8	via	via	ADP
ejpam-7172	404	9	sardar	sardar	PROPN
ejpam-7172	404	10	sub	sub	PROPN
ejpam-7172	404	11	-	-	ADJ
ejpam-7172	404	12	equation	equation	NOUN
ejpam-7172	404	13	technique	technique	NOUN
ejpam-7172	404	14	.	.	PUNCT
ejpam-7172	405	1	aims	aim	VERB
ejpam-7172	405	2	math	math	NOUN
ejpam-7172	405	3	,	,	PUNCT
ejpam-7172	405	4	7(6):11134–11149	7(6):11134–11149	PROPN
ejpam-7172	405	5	,	,	PUNCT
ejpam-7172	405	6	2022	2022	NUM
ejpam-7172	405	7	.	.	PUNCT