id	sid	tid	token	lemma	pos
ejpam-5803	1	1	european	european	PROPN
ejpam-5803	1	2	journal	journal	PROPN
ejpam-5803	1	3	of	of	ADP
ejpam-5803	1	4	pure	pure	ADJ
ejpam-5803	1	5	and	and	CCONJ
ejpam-5803	1	6	applied	applied	ADJ
ejpam-5803	1	7	mathematics	mathematic	NOUN
ejpam-5803	1	8	2025	2025	NUM
ejpam-5803	1	9	,	,	PUNCT
ejpam-5803	1	10	vol	vol	NOUN
ejpam-5803	1	11	.	.	PROPN
ejpam-5803	1	12	18	18	NUM
ejpam-5803	1	13	,	,	PUNCT
ejpam-5803	1	14	issue	issue	NOUN
ejpam-5803	1	15	4	4	NUM
ejpam-5803	1	16	,	,	PUNCT
ejpam-5803	1	17	article	article	NOUN
ejpam-5803	1	18	number	number	NOUN
ejpam-5803	1	19	5803	5803	NUM
ejpam-5803	1	20	issn	issn	PROPN
ejpam-5803	1	21	1307	1307	NUM
ejpam-5803	1	22	-	-	SYM
ejpam-5803	1	23	5543	5543	NUM
ejpam-5803	1	24	–	–	PUNCT
ejpam-5803	1	25	ejpam.com	ejpam.com	X
ejpam-5803	1	26	published	publish	VERB
ejpam-5803	1	27	by	by	ADP
ejpam-5803	1	28	new	new	PROPN
ejpam-5803	1	29	york	york	PROPN
ejpam-5803	1	30	business	business	PROPN
ejpam-5803	1	31	global	global	ADJ
ejpam-5803	1	32	chaotic	chaotic	ADJ
ejpam-5803	1	33	and	and	CCONJ
ejpam-5803	1	34	quasi	quasi	ADJ
ejpam-5803	1	35	-	-	ADJ
ejpam-5803	1	36	periodic	periodic	ADJ
ejpam-5803	1	37	behaviors	behavior	NOUN
ejpam-5803	1	38	in	in	ADP
ejpam-5803	1	39	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	1	40	materials	material	NOUN
ejpam-5803	1	41	:	:	PUNCT
ejpam-5803	1	42	a	a	DET
ejpam-5803	1	43	dynamical	dynamical	ADJ
ejpam-5803	1	44	analysis	analysis	NOUN
ejpam-5803	1	45	utilizing	utilize	VERB
ejpam-5803	1	46	the	the	DET
ejpam-5803	1	47	truncated	truncated	ADJ
ejpam-5803	1	48	mittag	mittag	ADJ
ejpam-5803	1	49	-	-	PUNCT
ejpam-5803	1	50	leffler	leffler	NOUN
ejpam-5803	1	51	function	function	NOUN
ejpam-5803	1	52	mostafa	mostafa	PROPN
ejpam-5803	1	53	m.	m.	PROPN
ejpam-5803	1	54	a.	a.	PROPN
ejpam-5803	1	55	khater1,∗	khater1,∗	PROPN
ejpam-5803	1	56	1	1	NUM
ejpam-5803	1	57	nonlinear	nonlinear	ADJ
ejpam-5803	1	58	dynamics	dynamic	NOUN
ejpam-5803	1	59	research	research	NOUN
ejpam-5803	1	60	center	center	NOUN
ejpam-5803	1	61	(	(	PUNCT
ejpam-5803	1	62	ndrc	ndrc	PROPN
ejpam-5803	1	63	)	)	PUNCT
ejpam-5803	1	64	,	,	PUNCT
ejpam-5803	1	65	ajman	ajman	PROPN
ejpam-5803	1	66	university	university	PROPN
ejpam-5803	1	67	,	,	PUNCT
ejpam-5803	1	68	ajman	ajman	PROPN
ejpam-5803	1	69	,	,	PUNCT
ejpam-5803	1	70	uae	uae	PROPN
ejpam-5803	1	71	abstract	abstract	NOUN
ejpam-5803	1	72	.	.	PUNCT
ejpam-5803	2	1	this	this	DET
ejpam-5803	2	2	study	study	NOUN
ejpam-5803	2	3	conducts	conduct	VERB
ejpam-5803	2	4	a	a	DET
ejpam-5803	2	5	thorough	thorough	ADJ
ejpam-5803	2	6	analysis	analysis	NOUN
ejpam-5803	2	7	of	of	ADP
ejpam-5803	2	8	the	the	DET
ejpam-5803	2	9	nonlinear	nonlinear	ADJ
ejpam-5803	2	10	fractional	fractional	ADJ
ejpam-5803	2	11	complex	complex	PROPN
ejpam-5803	2	12	heisenberg	heisenberg	PROPN
ejpam-5803	2	13	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	2	14	-	-	PUNCT
ejpam-5803	2	15	type	type	NOUN
ejpam-5803	2	16	akbota	akbota	ADJ
ejpam-5803	2	17	(	(	PUNCT
ejpam-5803	2	18	fchfa	fchfa	NOUN
ejpam-5803	2	19	)	)	PUNCT
ejpam-5803	2	20	model	model	NOUN
ejpam-5803	2	21	to	to	PART
ejpam-5803	2	22	clarify	clarify	VERB
ejpam-5803	2	23	its	its	PRON
ejpam-5803	2	24	dynamic	dynamic	ADJ
ejpam-5803	2	25	behavior	behavior	NOUN
ejpam-5803	2	26	.	.	PUNCT
ejpam-5803	3	1	through	through	ADP
ejpam-5803	3	2	rigorous	rigorous	ADJ
ejpam-5803	3	3	bifurcation	bifurcation	NOUN
ejpam-5803	3	4	analysis	analysis	NOUN
ejpam-5803	3	5	,	,	PUNCT
ejpam-5803	3	6	we	we	PRON
ejpam-5803	3	7	identify	identify	VERB
ejpam-5803	3	8	stability	stability	NOUN
ejpam-5803	3	9	transitions	transition	NOUN
ejpam-5803	3	10	and	and	CCONJ
ejpam-5803	3	11	determine	determine	VERB
ejpam-5803	3	12	critical	critical	ADJ
ejpam-5803	3	13	parameter	parameter	NOUN
ejpam-5803	3	14	thresholds	threshold	NOUN
ejpam-5803	3	15	,	,	PUNCT
ejpam-5803	3	16	revealing	reveal	VERB
ejpam-5803	3	17	the	the	DET
ejpam-5803	3	18	system	system	NOUN
ejpam-5803	3	19	’s	’s	PART
ejpam-5803	3	20	sensitivity	sensitivity	NOUN
ejpam-5803	3	21	to	to	ADP
ejpam-5803	3	22	perturbations	perturbation	NOUN
ejpam-5803	3	23	.	.	PUNCT
ejpam-5803	4	1	employing	employ	VERB
ejpam-5803	4	2	advanced	advanced	ADJ
ejpam-5803	4	3	nonlinear	nonlinear	ADJ
ejpam-5803	4	4	dynamics	dynamic	NOUN
ejpam-5803	4	5	techniques	technique	NOUN
ejpam-5803	4	6	,	,	PUNCT
ejpam-5803	4	7	we	we	PRON
ejpam-5803	4	8	explore	explore	VERB
ejpam-5803	4	9	the	the	DET
ejpam-5803	4	10	fundamental	fundamental	ADJ
ejpam-5803	4	11	mechanisms	mechanism	NOUN
ejpam-5803	4	12	governing	govern	VERB
ejpam-5803	4	13	magnetization	magnetization	NOUN
ejpam-5803	4	14	evolution	evolution	NOUN
ejpam-5803	4	15	.	.	PUNCT
ejpam-5803	5	1	by	by	ADP
ejpam-5803	5	2	integrating	integrate	VERB
ejpam-5803	5	3	numerical	numerical	ADJ
ejpam-5803	5	4	simulations	simulation	NOUN
ejpam-5803	5	5	with	with	ADP
ejpam-5803	5	6	analytical	analytical	ADJ
ejpam-5803	5	7	methods	method	NOUN
ejpam-5803	5	8	,	,	PUNCT
ejpam-5803	5	9	we	we	PRON
ejpam-5803	5	10	critically	critically	ADV
ejpam-5803	5	11	evaluate	evaluate	VERB
ejpam-5803	5	12	the	the	DET
ejpam-5803	5	13	role	role	NOUN
ejpam-5803	5	14	of	of	ADP
ejpam-5803	5	15	fractional	fractional	ADJ
ejpam-5803	5	16	calculus	calculus	NOUN
ejpam-5803	5	17	in	in	ADP
ejpam-5803	5	18	modeling	model	VERB
ejpam-5803	5	19	long	long	ADJ
ejpam-5803	5	20	-	-	PUNCT
ejpam-5803	5	21	range	range	NOUN
ejpam-5803	5	22	interactions	interaction	NOUN
ejpam-5803	5	23	and	and	CCONJ
ejpam-5803	5	24	temporal	temporal	ADJ
ejpam-5803	5	25	memory	memory	NOUN
ejpam-5803	5	26	effects	effect	NOUN
ejpam-5803	5	27	in	in	ADP
ejpam-5803	5	28	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	5	29	systems	system	NOUN
ejpam-5803	5	30	.	.	PUNCT
ejpam-5803	6	1	the	the	DET
ejpam-5803	6	2	fchfa	fchfa	PROPN
ejpam-5803	6	3	model	model	NOUN
ejpam-5803	6	4	,	,	PUNCT
ejpam-5803	6	5	which	which	PRON
ejpam-5803	6	6	incorporates	incorporate	VERB
ejpam-5803	6	7	nonlinear	nonlinear	ADJ
ejpam-5803	6	8	spin	spin	NOUN
ejpam-5803	6	9	-	-	PUNCT
ejpam-5803	6	10	wave	wave	NOUN
ejpam-5803	6	11	phenomena	phenomenon	NOUN
ejpam-5803	6	12	and	and	CCONJ
ejpam-5803	6	13	phase	phase	NOUN
ejpam-5803	6	14	transitions	transition	NOUN
ejpam-5803	6	15	,	,	PUNCT
ejpam-5803	6	16	offers	offer	VERB
ejpam-5803	6	17	a	a	DET
ejpam-5803	6	18	robust	robust	ADJ
ejpam-5803	6	19	framework	framework	NOUN
ejpam-5803	6	20	for	for	ADP
ejpam-5803	6	21	analyzing	analyze	VERB
ejpam-5803	6	22	magnetization	magnetization	NOUN
ejpam-5803	6	23	dynamics	dynamic	NOUN
ejpam-5803	6	24	.	.	PUNCT
ejpam-5803	7	1	numerically	numerically	ADV
ejpam-5803	7	2	validated	validate	VERB
ejpam-5803	7	3	solutions	solution	NOUN
ejpam-5803	7	4	confirm	confirm	VERB
ejpam-5803	7	5	the	the	DET
ejpam-5803	7	6	effectiveness	effectiveness	NOUN
ejpam-5803	7	7	of	of	ADP
ejpam-5803	7	8	our	our	PRON
ejpam-5803	7	9	methodology	methodology	NOUN
ejpam-5803	7	10	,	,	PUNCT
ejpam-5803	7	11	providing	provide	VERB
ejpam-5803	7	12	new	new	ADJ
ejpam-5803	7	13	insights	insight	NOUN
ejpam-5803	7	14	into	into	ADP
ejpam-5803	7	15	phase	phase	NOUN
ejpam-5803	7	16	transitions	transition	NOUN
ejpam-5803	7	17	and	and	CCONJ
ejpam-5803	7	18	nonlinear	nonlinear	ADJ
ejpam-5803	7	19	wave	wave	NOUN
ejpam-5803	7	20	phenomena	phenomena	PROPN
ejpam-5803	7	21	.	.	PUNCT
ejpam-5803	8	1	our	our	PRON
ejpam-5803	8	2	findings	finding	NOUN
ejpam-5803	8	3	highlight	highlight	VERB
ejpam-5803	8	4	the	the	DET
ejpam-5803	8	5	crucial	crucial	ADJ
ejpam-5803	8	6	role	role	NOUN
ejpam-5803	8	7	of	of	ADP
ejpam-5803	8	8	fractional	fractional	ADJ
ejpam-5803	8	9	derivatives	derivative	NOUN
ejpam-5803	8	10	in	in	ADP
ejpam-5803	8	11	capturing	capture	VERB
ejpam-5803	8	12	complex	complex	ADJ
ejpam-5803	8	13	magnetization	magnetization	NOUN
ejpam-5803	8	14	behaviors	behavior	NOUN
ejpam-5803	8	15	,	,	PUNCT
ejpam-5803	8	16	thereby	thereby	ADV
ejpam-5803	8	17	enhancing	enhance	VERB
ejpam-5803	8	18	theoretical	theoretical	ADJ
ejpam-5803	8	19	understanding	understanding	NOUN
ejpam-5803	8	20	and	and	CCONJ
ejpam-5803	8	21	broadening	broaden	VERB
ejpam-5803	8	22	the	the	DET
ejpam-5803	8	23	applicability	applicability	NOUN
ejpam-5803	8	24	of	of	ADP
ejpam-5803	8	25	fractional	fractional	ADJ
ejpam-5803	8	26	models	model	NOUN
ejpam-5803	8	27	in	in	ADP
ejpam-5803	8	28	condensed	condense	VERB
ejpam-5803	8	29	matter	matter	NOUN
ejpam-5803	8	30	physics	physics	NOUN
ejpam-5803	8	31	.	.	PUNCT
ejpam-5803	9	1	this	this	DET
ejpam-5803	9	2	work	work	NOUN
ejpam-5803	9	3	integrates	integrate	VERB
ejpam-5803	9	4	fractional	fractional	ADJ
ejpam-5803	9	5	calculus	calculus	NOUN
ejpam-5803	9	6	with	with	ADP
ejpam-5803	9	7	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	9	8	theory	theory	NOUN
ejpam-5803	9	9	,	,	PUNCT
ejpam-5803	9	10	establishing	establish	VERB
ejpam-5803	9	11	a	a	DET
ejpam-5803	9	12	mathematically	mathematically	ADV
ejpam-5803	9	13	rigorous	rigorous	ADJ
ejpam-5803	9	14	foundation	foundation	NOUN
ejpam-5803	9	15	for	for	ADP
ejpam-5803	9	16	modeling	modeling	NOUN
ejpam-5803	9	17	systems	system	NOUN
ejpam-5803	9	18	with	with	ADP
ejpam-5803	9	19	memory	memory	NOUN
ejpam-5803	9	20	and	and	CCONJ
ejpam-5803	9	21	nonlocal	nonlocal	ADJ
ejpam-5803	9	22	interactions	interaction	NOUN
ejpam-5803	9	23	.	.	PUNCT
ejpam-5803	10	1	by	by	ADP
ejpam-5803	10	2	rigorously	rigorously	ADV
ejpam-5803	10	3	validating	validate	VERB
ejpam-5803	10	4	numerical	numerical	ADJ
ejpam-5803	10	5	and	and	CCONJ
ejpam-5803	10	6	analytical	analytical	ADJ
ejpam-5803	10	7	approaches	approach	NOUN
ejpam-5803	10	8	,	,	PUNCT
ejpam-5803	10	9	the	the	DET
ejpam-5803	10	10	study	study	NOUN
ejpam-5803	10	11	sets	set	VERB
ejpam-5803	10	12	a	a	DET
ejpam-5803	10	13	precedent	precedent	NOUN
ejpam-5803	10	14	for	for	ADP
ejpam-5803	10	15	investigating	investigate	VERB
ejpam-5803	10	16	critical	critical	ADJ
ejpam-5803	10	17	phenomena	phenomenon	NOUN
ejpam-5803	10	18	in	in	ADP
ejpam-5803	10	19	fractional	fractional	ADJ
ejpam-5803	10	20	-	-	PUNCT
ejpam-5803	10	21	order	order	NOUN
ejpam-5803	10	22	systems	system	NOUN
ejpam-5803	10	23	,	,	PUNCT
ejpam-5803	10	24	with	with	ADP
ejpam-5803	10	25	significant	significant	ADJ
ejpam-5803	10	26	implications	implication	NOUN
ejpam-5803	10	27	for	for	ADP
ejpam-5803	10	28	device	device	NOUN
ejpam-5803	10	29	design	design	NOUN
ejpam-5803	10	30	in	in	ADP
ejpam-5803	10	31	spintronics	spintronic	NOUN
ejpam-5803	10	32	and	and	CCONJ
ejpam-5803	10	33	magnetic	magnetic	ADJ
ejpam-5803	10	34	materials	material	NOUN
ejpam-5803	10	35	.	.	PUNCT
ejpam-5803	11	1	furthermore	furthermore	ADV
ejpam-5803	11	2	,	,	PUNCT
ejpam-5803	11	3	it	it	PRON
ejpam-5803	11	4	demonstrates	demonstrate	VERB
ejpam-5803	11	5	how	how	SCONJ
ejpam-5803	11	6	fractional	fractional	ADJ
ejpam-5803	11	7	derivatives	derivative	NOUN
ejpam-5803	11	8	can	can	AUX
ejpam-5803	11	9	effectively	effectively	ADV
ejpam-5803	11	10	encapsulate	encapsulate	VERB
ejpam-5803	11	11	the	the	DET
ejpam-5803	11	12	intricate	intricate	ADJ
ejpam-5803	11	13	dynamics	dynamic	NOUN
ejpam-5803	11	14	of	of	ADP
ejpam-5803	11	15	magnetization	magnetization	NOUN
ejpam-5803	11	16	,	,	PUNCT
ejpam-5803	11	17	including	include	VERB
ejpam-5803	11	18	the	the	DET
ejpam-5803	11	19	interplay	interplay	NOUN
ejpam-5803	11	20	between	between	ADP
ejpam-5803	11	21	memory	memory	NOUN
ejpam-5803	11	22	effects	effect	NOUN
ejpam-5803	11	23	and	and	CCONJ
ejpam-5803	11	24	nonlinearity	nonlinearity	NOUN
ejpam-5803	11	25	.	.	PUNCT
ejpam-5803	12	1	by	by	ADP
ejpam-5803	12	2	bridging	bridge	VERB
ejpam-5803	12	3	theoretical	theoretical	ADJ
ejpam-5803	12	4	developments	development	NOUN
ejpam-5803	12	5	with	with	ADP
ejpam-5803	12	6	practical	practical	ADJ
ejpam-5803	12	7	applications	application	NOUN
ejpam-5803	12	8	,	,	PUNCT
ejpam-5803	12	9	this	this	DET
ejpam-5803	12	10	research	research	NOUN
ejpam-5803	12	11	not	not	PART
ejpam-5803	12	12	only	only	ADV
ejpam-5803	12	13	advances	advance	VERB
ejpam-5803	12	14	the	the	DET
ejpam-5803	12	15	mathematical	mathematical	ADJ
ejpam-5803	12	16	framework	framework	NOUN
ejpam-5803	12	17	for	for	ADP
ejpam-5803	12	18	studying	study	VERB
ejpam-5803	12	19	complex	complex	ADJ
ejpam-5803	12	20	magnetic	magnetic	ADJ
ejpam-5803	12	21	materials	material	NOUN
ejpam-5803	12	22	but	but	CCONJ
ejpam-5803	12	23	also	also	ADV
ejpam-5803	12	24	opens	open	VERB
ejpam-5803	12	25	avenues	avenue	NOUN
ejpam-5803	12	26	for	for	ADP
ejpam-5803	12	27	innovative	innovative	ADJ
ejpam-5803	12	28	technological	technological	ADJ
ejpam-5803	12	29	applications	application	NOUN
ejpam-5803	12	30	in	in	ADP
ejpam-5803	12	31	the	the	DET
ejpam-5803	12	32	field	field	NOUN
ejpam-5803	12	33	of	of	ADP
ejpam-5803	12	34	condensed	condense	VERB
ejpam-5803	12	35	matter	matter	NOUN
ejpam-5803	12	36	physics	physics	NOUN
ejpam-5803	12	37	.	.	PUNCT
ejpam-5803	13	1	2020	2020	NUM
ejpam-5803	13	2	mathematics	mathematics	PROPN
ejpam-5803	13	3	subject	subject	NOUN
ejpam-5803	13	4	classifications	classification	NOUN
ejpam-5803	13	5	:	:	PUNCT
ejpam-5803	13	6	35q51	35q51	NUM
ejpam-5803	13	7	;	;	PUNCT
ejpam-5803	13	8	35c07	35c07	NUM
ejpam-5803	13	9	;	;	PUNCT
ejpam-5803	13	10	82d30	82d30	NUM
ejpam-5803	13	11	;	;	PUNCT
ejpam-5803	13	12	34k10	34k10	NUM
ejpam-5803	13	13	.	.	PUNCT
ejpam-5803	14	1	key	key	ADJ
ejpam-5803	14	2	words	word	NOUN
ejpam-5803	14	3	and	and	CCONJ
ejpam-5803	14	4	phrases	phrase	NOUN
ejpam-5803	14	5	:	:	PUNCT
ejpam-5803	14	6	integrated	integrate	VERB
ejpam-5803	14	7	approach	approach	NOUN
ejpam-5803	14	8	;	;	PUNCT
ejpam-5803	14	9	fractional	fractional	ADJ
ejpam-5803	14	10	derivatives	derivative	NOUN
ejpam-5803	14	11	;	;	PUNCT
ejpam-5803	14	12	bifurcation	bifurcation	NOUN
ejpam-5803	14	13	analysis	analysis	NOUN
ejpam-5803	14	14	;	;	PUNCT
ejpam-5803	14	15	chaotic	chaotic	ADJ
ejpam-5803	14	16	and	and	CCONJ
ejpam-5803	14	17	quasi	quasi	ADJ
ejpam-5803	14	18	-	-	ADJ
ejpam-5803	14	19	periodic	periodic	ADJ
ejpam-5803	14	20	behaviors	behavior	NOUN
ejpam-5803	14	21	;	;	PUNCT
ejpam-5803	14	22	practical	practical	ADJ
ejpam-5803	14	23	applications	application	NOUN
ejpam-5803	14	24	.	.	PUNCT
ejpam-5803	15	1	∗corresponding	∗corresponde	VERB
ejpam-5803	15	2	author	author	NOUN
ejpam-5803	15	3	.	.	PUNCT
ejpam-5803	16	1	doi	doi	NOUN
ejpam-5803	16	2	:	:	PUNCT
ejpam-5803	16	3	https://doi.org/10.29020/nybg.ejpam.v18i4.5803	https://doi.org/10.29020/nybg.ejpam.v18i4.5803	PROPN
ejpam-5803	16	4	email	email	NOUN
ejpam-5803	16	5	addresses	address	NOUN
ejpam-5803	16	6	:	:	PUNCT
ejpam-5803	16	7	mostafa.khater2024@yahoo.com	mostafa.khater2024@yahoo.com	PROPN
ejpam-5803	16	8	&	&	CCONJ
ejpam-5803	16	9	khater@ajman.ac.ae	khater@ajman.ac.ae	PROPN
ejpam-5803	16	10	(	(	PUNCT
ejpam-5803	16	11	m.	m.	NOUN
ejpam-5803	16	12	m.	m.	NOUN
ejpam-5803	16	13	a.	a.	PROPN
ejpam-5803	16	14	khater	khater	PROPN
ejpam-5803	16	15	)	)	PUNCT
ejpam-5803	16	16	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5803	17	1	1	1	NUM
ejpam-5803	17	2	copyright	copyright	NOUN
ejpam-5803	17	3	:	:	PUNCT
ejpam-5803	17	4	©	©	PROPN
ejpam-5803	17	5	2025	2025	NUM
ejpam-5803	17	6	the	the	DET
ejpam-5803	17	7	author(s	author(s	NOUN
ejpam-5803	17	8	)	)	PUNCT
ejpam-5803	17	9	.	.	PUNCT
ejpam-5803	18	1	(	(	PUNCT
ejpam-5803	18	2	cc	cc	NOUN
ejpam-5803	18	3	by	by	ADP
ejpam-5803	18	4	-	-	PUNCT
ejpam-5803	18	5	nc	nc	PROPN
ejpam-5803	18	6	4.0	4.0	NUM
ejpam-5803	18	7	)	)	PUNCT
ejpam-5803	18	8	m.	m.	NOUN
ejpam-5803	18	9	m.	m.	NOUN
ejpam-5803	18	10	a.	a.	NOUN
ejpam-5803	18	11	khater	khater	PROPN
ejpam-5803	18	12	/	/	SYM
ejpam-5803	18	13	eur	eur	PROPN
ejpam-5803	18	14	.	.	PUNCT
ejpam-5803	19	1	j.	j.	PROPN
ejpam-5803	19	2	pure	pure	PROPN
ejpam-5803	19	3	appl	appl	PROPN
ejpam-5803	19	4	.	.	PROPN
ejpam-5803	19	5	math	math	PROPN
ejpam-5803	19	6	,	,	PUNCT
ejpam-5803	19	7	18	18	NUM
ejpam-5803	19	8	(	(	PUNCT
ejpam-5803	19	9	4	4	NUM
ejpam-5803	19	10	)	)	PUNCT
ejpam-5803	19	11	(	(	PUNCT
ejpam-5803	19	12	2025	2025	NUM
ejpam-5803	19	13	)	)	PUNCT
ejpam-5803	19	14	,	,	PUNCT
ejpam-5803	19	15	5803	5803	NUM
ejpam-5803	19	16	2	2	NUM
ejpam-5803	19	17	of	of	ADP
ejpam-5803	19	18	31	31	NUM
ejpam-5803	19	19	1	1	NUM
ejpam-5803	19	20	.	.	PUNCT
ejpam-5803	20	1	introduction	introduction	NOUN
ejpam-5803	20	2	the	the	DET
ejpam-5803	20	3	exploration	exploration	NOUN
ejpam-5803	20	4	of	of	ADP
ejpam-5803	20	5	fractional	fractional	ADJ
ejpam-5803	20	6	calculus	calculus	NOUN
ejpam-5803	20	7	applications	application	NOUN
ejpam-5803	20	8	in	in	ADP
ejpam-5803	20	9	physics	physics	NOUN
ejpam-5803	20	10	has	have	AUX
ejpam-5803	20	11	unlocked	unlock	VERB
ejpam-5803	20	12	novel	novel	ADJ
ejpam-5803	20	13	avenues	avenue	NOUN
ejpam-5803	20	14	for	for	ADP
ejpam-5803	20	15	investigating	investigate	VERB
ejpam-5803	20	16	complex	complex	ADJ
ejpam-5803	20	17	systems	system	NOUN
ejpam-5803	20	18	,	,	PUNCT
ejpam-5803	20	19	especially	especially	ADV
ejpam-5803	20	20	in	in	ADP
ejpam-5803	20	21	modeling	model	VERB
ejpam-5803	20	22	magnetization	magnetization	NOUN
ejpam-5803	20	23	and	and	CCONJ
ejpam-5803	20	24	phase	phase	NOUN
ejpam-5803	20	25	transitions	transition	NOUN
ejpam-5803	20	26	within	within	ADP
ejpam-5803	20	27	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	20	28	materials	material	NOUN
ejpam-5803	20	29	.	.	PUNCT
ejpam-5803	21	1	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	21	2	systems	system	NOUN
ejpam-5803	21	3	,	,	PUNCT
ejpam-5803	21	4	governed	govern	VERB
ejpam-5803	21	5	by	by	ADP
ejpam-5803	21	6	intricate	intricate	ADJ
ejpam-5803	21	7	nonlinear	nonlinear	ADJ
ejpam-5803	21	8	dynamics	dynamic	NOUN
ejpam-5803	21	9	,	,	PUNCT
ejpam-5803	21	10	display	display	VERB
ejpam-5803	21	11	elaborate	elaborate	ADJ
ejpam-5803	21	12	magnetization	magnetization	NOUN
ejpam-5803	21	13	behaviors	behavior	NOUN
ejpam-5803	21	14	that	that	SCONJ
ejpam-5803	21	15	fractional	fractional	ADJ
ejpam-5803	21	16	differential	differential	ADJ
ejpam-5803	21	17	equations	equation	NOUN
ejpam-5803	21	18	depict	depict	VERB
ejpam-5803	21	19	with	with	ADP
ejpam-5803	21	20	superior	superior	ADJ
ejpam-5803	21	21	efficacy	efficacy	NOUN
ejpam-5803	21	22	compared	compare	VERB
ejpam-5803	21	23	to	to	ADP
ejpam-5803	21	24	classical	classical	ADJ
ejpam-5803	21	25	approaches	approach	NOUN
ejpam-5803	21	26	[	[	X
ejpam-5803	21	27	1	1	NUM
ejpam-5803	21	28	]	]	PUNCT
ejpam-5803	21	29	.	.	PUNCT
ejpam-5803	22	1	the	the	DET
ejpam-5803	22	2	fractional	fractional	ADJ
ejpam-5803	22	3	complex	complex	PROPN
ejpam-5803	22	4	heisenberg	heisenberg	PROPN
ejpam-5803	22	5	ferromagnet	ferromagnet	NOUN
ejpam-5803	22	6	-	-	PUNCT
ejpam-5803	22	7	type	type	NOUN
ejpam-5803	22	8	akbota	akbota	ADJ
ejpam-5803	22	9	(	(	PUNCT
ejpam-5803	22	10	fchfa	fchfa	NOUN
ejpam-5803	22	11	)	)	PUNCT
ejpam-5803	22	12	system	system	NOUN
ejpam-5803	22	13	emerges	emerge	VERB
ejpam-5803	22	14	as	as	ADP
ejpam-5803	22	15	a	a	DET
ejpam-5803	22	16	innovative	innovative	ADJ
ejpam-5803	22	17	methodology	methodology	NOUN
ejpam-5803	22	18	,	,	PUNCT
ejpam-5803	22	19	furnishing	furnish	VERB
ejpam-5803	22	20	enhanced	enhance	VERB
ejpam-5803	22	21	insights	insight	NOUN
ejpam-5803	22	22	into	into	ADP
ejpam-5803	22	23	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	22	24	characteristics	characteristic	NOUN
ejpam-5803	22	25	by	by	ADP
ejpam-5803	22	26	integrating	integrate	VERB
ejpam-5803	22	27	fractional	fractional	ADJ
ejpam-5803	22	28	derivatives	derivative	NOUN
ejpam-5803	22	29	that	that	PRON
ejpam-5803	22	30	encapsulate	encapsulate	VERB
ejpam-5803	22	31	memory	memory	NOUN
ejpam-5803	22	32	effects	effect	NOUN
ejpam-5803	22	33	and	and	CCONJ
ejpam-5803	22	34	anomalous	anomalous	ADJ
ejpam-5803	22	35	diffusion	diffusion	NOUN
ejpam-5803	22	36	[	[	X
ejpam-5803	22	37	2	2	NUM
ejpam-5803	22	38	]	]	PUNCT
ejpam-5803	22	39	.	.	PUNCT
ejpam-5803	23	1	earlier	early	ADJ
ejpam-5803	23	2	studies	study	NOUN
ejpam-5803	23	3	on	on	ADP
ejpam-5803	23	4	analogous	analogous	ADJ
ejpam-5803	23	5	fractional	fractional	ADJ
ejpam-5803	23	6	models	model	NOUN
ejpam-5803	23	7	have	have	AUX
ejpam-5803	23	8	evidenced	evidence	VERB
ejpam-5803	23	9	the	the	DET
ejpam-5803	23	10	capability	capability	NOUN
ejpam-5803	23	11	of	of	ADP
ejpam-5803	23	12	fractional	fractional	ADJ
ejpam-5803	23	13	calculus	calculus	NOUN
ejpam-5803	23	14	in	in	ADP
ejpam-5803	23	15	portraying	portray	VERB
ejpam-5803	23	16	magnetization	magnetization	NOUN
ejpam-5803	23	17	patterns	pattern	NOUN
ejpam-5803	23	18	and	and	CCONJ
ejpam-5803	23	19	nonlinear	nonlinear	ADJ
ejpam-5803	23	20	wave	wave	NOUN
ejpam-5803	23	21	propagation	propagation	NOUN
ejpam-5803	23	22	,	,	PUNCT
ejpam-5803	23	23	laying	lay	VERB
ejpam-5803	23	24	a	a	DET
ejpam-5803	23	25	foundation	foundation	NOUN
ejpam-5803	23	26	for	for	ADP
ejpam-5803	23	27	employing	employ	VERB
ejpam-5803	23	28	fractional	fractional	ADJ
ejpam-5803	23	29	techniques	technique	NOUN
ejpam-5803	23	30	to	to	PART
ejpam-5803	23	31	investigate	investigate	VERB
ejpam-5803	23	32	nonlinear	nonlinear	ADJ
ejpam-5803	23	33	evolution	evolution	NOUN
ejpam-5803	23	34	equations	equation	NOUN
ejpam-5803	23	35	more	more	ADV
ejpam-5803	23	36	broadly	broadly	ADV
ejpam-5803	23	37	[	[	X
ejpam-5803	23	38	3	3	NUM
ejpam-5803	23	39	]	]	PUNCT
ejpam-5803	23	40	.	.	PUNCT
ejpam-5803	24	1	despite	despite	SCONJ
ejpam-5803	24	2	the	the	DET
ejpam-5803	24	3	substantial	substantial	ADJ
ejpam-5803	24	4	advancements	advancement	NOUN
ejpam-5803	24	5	in	in	ADP
ejpam-5803	24	6	fractional	fractional	ADJ
ejpam-5803	24	7	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	24	8	models	model	NOUN
ejpam-5803	24	9	,	,	PUNCT
ejpam-5803	24	10	a	a	DET
ejpam-5803	24	11	comprehensive	comprehensive	ADJ
ejpam-5803	24	12	comprehension	comprehension	NOUN
ejpam-5803	24	13	of	of	ADP
ejpam-5803	24	14	the	the	DET
ejpam-5803	24	15	magnetization	magnetization	NOUN
ejpam-5803	24	16	dynamics	dynamic	NOUN
ejpam-5803	24	17	and	and	CCONJ
ejpam-5803	24	18	phase	phase	NOUN
ejpam-5803	24	19	transitions	transition	NOUN
ejpam-5803	24	20	within	within	ADP
ejpam-5803	24	21	the	the	DET
ejpam-5803	24	22	fchfa	fchfa	NOUN
ejpam-5803	24	23	system	system	NOUN
ejpam-5803	24	24	remains	remain	VERB
ejpam-5803	24	25	incomplete	incomplete	ADJ
ejpam-5803	24	26	.	.	PUNCT
ejpam-5803	25	1	this	this	DET
ejpam-5803	25	2	study	study	NOUN
ejpam-5803	25	3	targets	target	VERB
ejpam-5803	25	4	this	this	DET
ejpam-5803	25	5	knowledge	knowledge	NOUN
ejpam-5803	25	6	lacuna	lacuna	NOUN
ejpam-5803	25	7	by	by	ADP
ejpam-5803	25	8	utilizing	utilize	VERB
ejpam-5803	25	9	cutting	cutting	NOUN
ejpam-5803	25	10	-	-	PUNCT
ejpam-5803	25	11	edge	edge	NOUN
ejpam-5803	25	12	computational	computational	ADJ
ejpam-5803	25	13	methodologies	methodology	NOUN
ejpam-5803	25	14	to	to	PART
ejpam-5803	25	15	scrutinize	scrutinize	VERB
ejpam-5803	25	16	the	the	DET
ejpam-5803	25	17	solution	solution	NOUN
ejpam-5803	25	18	architectures	architecture	NOUN
ejpam-5803	25	19	of	of	ADP
ejpam-5803	25	20	the	the	DET
ejpam-5803	25	21	fchfa	fchfa	ADJ
ejpam-5803	25	22	system	system	NOUN
ejpam-5803	25	23	[	[	X
ejpam-5803	25	24	4	4	NUM
ejpam-5803	25	25	]	]	PUNCT
ejpam-5803	25	26	.	.	PUNCT
ejpam-5803	26	1	our	our	PRON
ejpam-5803	26	2	primary	primary	ADJ
ejpam-5803	26	3	objectives	objective	NOUN
ejpam-5803	26	4	are	be	AUX
ejpam-5803	26	5	to	to	PART
ejpam-5803	26	6	deepen	deepen	VERB
ejpam-5803	26	7	the	the	DET
ejpam-5803	26	8	understanding	understanding	NOUN
ejpam-5803	26	9	of	of	ADP
ejpam-5803	26	10	the	the	DET
ejpam-5803	26	11	physical	physical	ADJ
ejpam-5803	26	12	significance	significance	NOUN
ejpam-5803	26	13	of	of	ADP
ejpam-5803	26	14	fractional	fractional	ADJ
ejpam-5803	26	15	derivatives	derivative	NOUN
ejpam-5803	26	16	in	in	ADP
ejpam-5803	26	17	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	26	18	dynamics	dynamic	NOUN
ejpam-5803	26	19	and	and	CCONJ
ejpam-5803	26	20	to	to	PART
ejpam-5803	26	21	explore	explore	VERB
ejpam-5803	26	22	the	the	DET
ejpam-5803	26	23	broader	broad	ADJ
ejpam-5803	26	24	implications	implication	NOUN
ejpam-5803	26	25	for	for	ADP
ejpam-5803	26	26	nonlinear	nonlinear	ADJ
ejpam-5803	26	27	wave	wave	NOUN
ejpam-5803	26	28	propagation	propagation	NOUN
ejpam-5803	26	29	and	and	CCONJ
ejpam-5803	26	30	phase	phase	NOUN
ejpam-5803	26	31	transitions	transition	NOUN
ejpam-5803	26	32	in	in	ADP
ejpam-5803	26	33	condensed	condense	VERB
ejpam-5803	26	34	matter	matter	NOUN
ejpam-5803	26	35	physics	physics	NOUN
ejpam-5803	26	36	.	.	PUNCT
ejpam-5803	27	1	furthermore	furthermore	ADV
ejpam-5803	27	2	,	,	PUNCT
ejpam-5803	27	3	this	this	DET
ejpam-5803	27	4	work	work	NOUN
ejpam-5803	27	5	endeavors	endeavor	NOUN
ejpam-5803	27	6	to	to	PART
ejpam-5803	27	7	address	address	VERB
ejpam-5803	27	8	fundamental	fundamental	ADJ
ejpam-5803	27	9	questions	question	NOUN
ejpam-5803	27	10	surrounding	surround	VERB
ejpam-5803	27	11	the	the	DET
ejpam-5803	27	12	role	role	NOUN
ejpam-5803	27	13	of	of	ADP
ejpam-5803	27	14	fractional	fractional	ADJ
ejpam-5803	27	15	calculus	calculus	NOUN
ejpam-5803	27	16	in	in	ADP
ejpam-5803	27	17	providing	provide	VERB
ejpam-5803	27	18	a	a	DET
ejpam-5803	27	19	more	more	ADV
ejpam-5803	27	20	precise	precise	ADJ
ejpam-5803	27	21	description	description	NOUN
ejpam-5803	27	22	of	of	ADP
ejpam-5803	27	23	magnetization	magnetization	NOUN
ejpam-5803	27	24	dynamics	dynamic	NOUN
ejpam-5803	27	25	than	than	ADP
ejpam-5803	27	26	conventional	conventional	ADJ
ejpam-5803	27	27	methods	method	NOUN
ejpam-5803	27	28	[	[	X
ejpam-5803	27	29	5	5	NUM
ejpam-5803	27	30	]	]	PUNCT
ejpam-5803	27	31	.	.	PUNCT
ejpam-5803	28	1	the	the	DET
ejpam-5803	28	2	significance	significance	NOUN
ejpam-5803	28	3	of	of	ADP
ejpam-5803	28	4	this	this	DET
ejpam-5803	28	5	study	study	NOUN
ejpam-5803	28	6	resides	reside	VERB
ejpam-5803	28	7	in	in	ADP
ejpam-5803	28	8	its	its	PRON
ejpam-5803	28	9	contribution	contribution	NOUN
ejpam-5803	28	10	to	to	ADP
ejpam-5803	28	11	the	the	DET
ejpam-5803	28	12	burgeoning	burgeon	VERB
ejpam-5803	28	13	field	field	NOUN
ejpam-5803	28	14	of	of	ADP
ejpam-5803	28	15	fractional	fractional	ADJ
ejpam-5803	28	16	calculus	calculus	NOUN
ejpam-5803	28	17	and	and	CCONJ
ejpam-5803	28	18	its	its	PRON
ejpam-5803	28	19	application	application	NOUN
ejpam-5803	28	20	in	in	ADP
ejpam-5803	28	21	condensed	condense	VERB
ejpam-5803	28	22	matter	matter	NOUN
ejpam-5803	28	23	physics	physics	NOUN
ejpam-5803	28	24	[	[	X
ejpam-5803	28	25	6	6	NUM
ejpam-5803	28	26	]	]	PUNCT
ejpam-5803	28	27	.	.	PUNCT
ejpam-5803	29	1	by	by	ADP
ejpam-5803	29	2	probing	probe	VERB
ejpam-5803	29	3	the	the	DET
ejpam-5803	29	4	fchfa	fchfa	ADJ
ejpam-5803	29	5	system	system	NOUN
ejpam-5803	29	6	,	,	PUNCT
ejpam-5803	29	7	this	this	DET
ejpam-5803	29	8	research	research	NOUN
ejpam-5803	29	9	unveils	unveil	VERB
ejpam-5803	29	10	fresh	fresh	ADJ
ejpam-5803	29	11	insights	insight	NOUN
ejpam-5803	29	12	into	into	ADP
ejpam-5803	29	13	the	the	DET
ejpam-5803	29	14	mathematical	mathematical	ADJ
ejpam-5803	29	15	depiction	depiction	NOUN
ejpam-5803	29	16	of	of	ADP
ejpam-5803	29	17	magnetization	magnetization	NOUN
ejpam-5803	29	18	and	and	CCONJ
ejpam-5803	29	19	underscores	underscore	VERB
ejpam-5803	29	20	the	the	DET
ejpam-5803	29	21	utility	utility	NOUN
ejpam-5803	29	22	of	of	ADP
ejpam-5803	29	23	fractional	fractional	ADJ
ejpam-5803	29	24	derivatives	derivative	NOUN
ejpam-5803	29	25	in	in	ADP
ejpam-5803	29	26	capturing	capture	VERB
ejpam-5803	29	27	phenomena	phenomenon	NOUN
ejpam-5803	29	28	such	such	ADJ
ejpam-5803	29	29	as	as	ADP
ejpam-5803	29	30	phase	phase	NOUN
ejpam-5803	29	31	transitions	transition	NOUN
ejpam-5803	29	32	,	,	PUNCT
ejpam-5803	29	33	wave	wave	NOUN
ejpam-5803	29	34	dispersion	dispersion	NOUN
ejpam-5803	29	35	,	,	PUNCT
ejpam-5803	29	36	and	and	CCONJ
ejpam-5803	29	37	soliton	soliton	NOUN
ejpam-5803	29	38	propagation	propagation	NOUN
ejpam-5803	29	39	[	[	X
ejpam-5803	29	40	7	7	NUM
ejpam-5803	29	41	]	]	PUNCT
ejpam-5803	29	42	.	.	PUNCT
ejpam-5803	30	1	these	these	DET
ejpam-5803	30	2	discoveries	discovery	NOUN
ejpam-5803	30	3	not	not	PART
ejpam-5803	30	4	only	only	ADV
ejpam-5803	30	5	enrich	enrich	VERB
ejpam-5803	30	6	theoretical	theoretical	ADJ
ejpam-5803	30	7	frameworks	framework	NOUN
ejpam-5803	30	8	but	but	CCONJ
ejpam-5803	30	9	also	also	ADV
ejpam-5803	30	10	hint	hint	VERB
ejpam-5803	30	11	at	at	ADP
ejpam-5803	30	12	potential	potential	ADJ
ejpam-5803	30	13	applications	application	NOUN
ejpam-5803	30	14	in	in	ADP
ejpam-5803	30	15	disciplines	discipline	NOUN
ejpam-5803	30	16	requiring	require	VERB
ejpam-5803	30	17	precise	precise	ADJ
ejpam-5803	30	18	modeling	modeling	NOUN
ejpam-5803	30	19	of	of	ADP
ejpam-5803	30	20	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	30	21	and	and	CCONJ
ejpam-5803	30	22	nonlinear	nonlinear	ADJ
ejpam-5803	30	23	systems	system	NOUN
ejpam-5803	30	24	[	[	X
ejpam-5803	30	25	8	8	NUM
ejpam-5803	30	26	]	]	PUNCT
ejpam-5803	30	27	.	.	PUNCT
ejpam-5803	31	1	numerous	numerous	ADJ
ejpam-5803	31	2	prior	prior	ADJ
ejpam-5803	31	3	investigations	investigation	NOUN
ejpam-5803	31	4	have	have	AUX
ejpam-5803	31	5	engaged	engage	VERB
ejpam-5803	31	6	with	with	ADP
ejpam-5803	31	7	fractional	fractional	PROPN
ejpam-5803	31	8	heisenberg	heisenberg	PROPN
ejpam-5803	31	9	and	and	CCONJ
ejpam-5803	31	10	analogous	analogous	ADJ
ejpam-5803	31	11	ferromagnet	ferromagnet	NOUN
ejpam-5803	31	12	-	-	PUNCT
ejpam-5803	31	13	type	type	NOUN
ejpam-5803	31	14	systems	system	NOUN
ejpam-5803	31	15	,	,	PUNCT
ejpam-5803	31	16	achieving	achieve	VERB
ejpam-5803	31	17	remarkable	remarkable	ADJ
ejpam-5803	31	18	progress	progress	NOUN
ejpam-5803	31	19	in	in	ADP
ejpam-5803	31	20	constructing	construct	VERB
ejpam-5803	31	21	soliton	soliton	NOUN
ejpam-5803	31	22	solutions	solution	NOUN
ejpam-5803	31	23	and	and	CCONJ
ejpam-5803	31	24	examining	examine	VERB
ejpam-5803	31	25	dynamical	dynamical	ADJ
ejpam-5803	31	26	properties	property	NOUN
ejpam-5803	31	27	across	across	ADP
ejpam-5803	31	28	diverse	diverse	ADJ
ejpam-5803	31	29	fractional	fractional	ADJ
ejpam-5803	31	30	forms	form	NOUN
ejpam-5803	31	31	[	[	X
ejpam-5803	31	32	9	9	NUM
ejpam-5803	31	33	]	]	PUNCT
ejpam-5803	31	34	.	.	PUNCT
ejpam-5803	32	1	while	while	SCONJ
ejpam-5803	32	2	these	these	DET
ejpam-5803	32	3	studies	study	NOUN
ejpam-5803	32	4	have	have	AUX
ejpam-5803	32	5	affirmed	affirm	VERB
ejpam-5803	32	6	the	the	DET
ejpam-5803	32	7	relevance	relevance	NOUN
ejpam-5803	32	8	of	of	ADP
ejpam-5803	32	9	fractional	fractional	ADJ
ejpam-5803	32	10	modeling	modeling	NOUN
ejpam-5803	32	11	in	in	ADP
ejpam-5803	32	12	portraying	portray	VERB
ejpam-5803	32	13	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	32	14	behaviors	behavior	NOUN
ejpam-5803	32	15	,	,	PUNCT
ejpam-5803	32	16	they	they	PRON
ejpam-5803	32	17	have	have	AUX
ejpam-5803	32	18	been	be	AUX
ejpam-5803	32	19	constrained	constrain	VERB
ejpam-5803	32	20	by	by	ADP
ejpam-5803	32	21	analytical	analytical	ADJ
ejpam-5803	32	22	limitations	limitation	NOUN
ejpam-5803	32	23	or	or	CCONJ
ejpam-5803	32	24	the	the	DET
ejpam-5803	32	25	absence	absence	NOUN
ejpam-5803	32	26	of	of	ADP
ejpam-5803	32	27	high	high	ADJ
ejpam-5803	32	28	-	-	PUNCT
ejpam-5803	32	29	precision	precision	NOUN
ejpam-5803	32	30	computational	computational	ADJ
ejpam-5803	32	31	techniques	technique	NOUN
ejpam-5803	32	32	to	to	PART
ejpam-5803	32	33	evaluate	evaluate	VERB
ejpam-5803	32	34	solution	solution	NOUN
ejpam-5803	32	35	robustness	robustness	NOUN
ejpam-5803	32	36	.	.	PUNCT
ejpam-5803	33	1	by	by	ADP
ejpam-5803	33	2	amalgamating	amalgamate	VERB
ejpam-5803	33	3	the	the	DET
ejpam-5803	33	4	khater	khater	NOUN
ejpam-5803	33	5	ii	ii	PROPN
ejpam-5803	33	6	method	method	NOUN
ejpam-5803	33	7	,	,	PUNCT
ejpam-5803	33	8	an	an	DET
ejpam-5803	33	9	enhanced	enhanced	ADJ
ejpam-5803	33	10	kudryashov	kudryashov	ADJ
ejpam-5803	33	11	approach	approach	NOUN
ejpam-5803	33	12	,	,	PUNCT
ejpam-5803	33	13	and	and	CCONJ
ejpam-5803	33	14	the	the	DET
ejpam-5803	33	15	adomian	adomian	NOUN
ejpam-5803	33	16	decomposition	decomposition	NOUN
ejpam-5803	33	17	scheme	scheme	NOUN
ejpam-5803	33	18	,	,	PUNCT
ejpam-5803	33	19	this	this	DET
ejpam-5803	33	20	study	study	NOUN
ejpam-5803	33	21	builds	build	VERB
ejpam-5803	33	22	on	on	ADP
ejpam-5803	33	23	previous	previous	ADJ
ejpam-5803	33	24	work	work	NOUN
ejpam-5803	33	25	,	,	PUNCT
ejpam-5803	33	26	offering	offer	VERB
ejpam-5803	33	27	a	a	DET
ejpam-5803	33	28	rigorous	rigorous	ADJ
ejpam-5803	33	29	and	and	CCONJ
ejpam-5803	33	30	innovative	innovative	ADJ
ejpam-5803	33	31	framework	framework	NOUN
ejpam-5803	33	32	that	that	PRON
ejpam-5803	33	33	surmounts	surmount	VERB
ejpam-5803	33	34	prior	prior	ADJ
ejpam-5803	33	35	constraints	constraint	NOUN
ejpam-5803	33	36	in	in	ADP
ejpam-5803	33	37	accuracy	accuracy	NOUN
ejpam-5803	33	38	and	and	CCONJ
ejpam-5803	33	39	solution	solution	NOUN
ejpam-5803	33	40	validation	validation	NOUN
ejpam-5803	33	41	[	[	X
ejpam-5803	33	42	10	10	NUM
ejpam-5803	33	43	]	]	PUNCT
ejpam-5803	33	44	.	.	PUNCT
ejpam-5803	34	1	m.	m.	NOUN
ejpam-5803	34	2	m.	m.	NOUN
ejpam-5803	34	3	a.	a.	NOUN
ejpam-5803	34	4	khater	khater	PROPN
ejpam-5803	34	5	/	/	SYM
ejpam-5803	34	6	eur	eur	PROPN
ejpam-5803	34	7	.	.	PUNCT
ejpam-5803	35	1	j.	j.	PROPN
ejpam-5803	35	2	pure	pure	PROPN
ejpam-5803	35	3	appl	appl	PROPN
ejpam-5803	35	4	.	.	PROPN
ejpam-5803	35	5	math	math	PROPN
ejpam-5803	35	6	,	,	PUNCT
ejpam-5803	35	7	18	18	NUM
ejpam-5803	35	8	(	(	PUNCT
ejpam-5803	35	9	4	4	NUM
ejpam-5803	35	10	)	)	PUNCT
ejpam-5803	35	11	(	(	PUNCT
ejpam-5803	35	12	2025	2025	NUM
ejpam-5803	35	13	)	)	PUNCT
ejpam-5803	35	14	,	,	PUNCT
ejpam-5803	35	15	5803	5803	NUM
ejpam-5803	35	16	3	3	NUM
ejpam-5803	35	17	of	of	ADP
ejpam-5803	35	18	31	31	NUM
ejpam-5803	35	19	this	this	DET
ejpam-5803	35	20	research	research	NOUN
ejpam-5803	35	21	concentrates	concentrate	VERB
ejpam-5803	35	22	on	on	ADP
ejpam-5803	35	23	the	the	DET
ejpam-5803	35	24	fractional	fractional	ADJ
ejpam-5803	35	25	complex	complex	PROPN
ejpam-5803	35	26	heisenberg	heisenberg	PROPN
ejpam-5803	35	27	ferromagnet	ferromagnet	NOUN
ejpam-5803	35	28	-	-	PUNCT
ejpam-5803	35	29	type	type	NOUN
ejpam-5803	35	30	akbota	akbota	ADJ
ejpam-5803	35	31	system	system	NOUN
ejpam-5803	35	32	,	,	PUNCT
ejpam-5803	35	33	a	a	DET
ejpam-5803	35	34	nonlinear	nonlinear	ADJ
ejpam-5803	35	35	evolution	evolution	NOUN
ejpam-5803	35	36	equation	equation	NOUN
ejpam-5803	35	37	with	with	ADP
ejpam-5803	35	38	profound	profound	ADJ
ejpam-5803	35	39	physical	physical	ADJ
ejpam-5803	35	40	implications	implication	NOUN
ejpam-5803	35	41	for	for	ADP
ejpam-5803	35	42	phase	phase	NOUN
ejpam-5803	35	43	transitions	transition	NOUN
ejpam-5803	35	44	and	and	CCONJ
ejpam-5803	35	45	magnetization	magnetization	NOUN
ejpam-5803	35	46	behaviors	behavior	NOUN
ejpam-5803	35	47	[	[	X
ejpam-5803	35	48	11	11	NUM
ejpam-5803	35	49	]	]	PUNCT
ejpam-5803	35	50	.	.	PUNCT
ejpam-5803	36	1	nonlinear	nonlinear	ADJ
ejpam-5803	36	2	evolution	evolution	NOUN
ejpam-5803	36	3	equations	equation	NOUN
ejpam-5803	36	4	akin	akin	ADJ
ejpam-5803	36	5	to	to	ADP
ejpam-5803	36	6	the	the	DET
ejpam-5803	36	7	fchfa	fchfa	NOUN
ejpam-5803	36	8	system	system	NOUN
ejpam-5803	36	9	play	play	VERB
ejpam-5803	36	10	a	a	DET
ejpam-5803	36	11	pivotal	pivotal	ADJ
ejpam-5803	36	12	role	role	NOUN
ejpam-5803	36	13	in	in	ADP
ejpam-5803	36	14	transforming	transform	VERB
ejpam-5803	36	15	complex	complex	ADJ
ejpam-5803	36	16	physical	physical	ADJ
ejpam-5803	36	17	phenomena	phenomenon	NOUN
ejpam-5803	36	18	into	into	ADP
ejpam-5803	36	19	mathematically	mathematically	ADV
ejpam-5803	36	20	tractable	tractable	ADJ
ejpam-5803	36	21	forms	form	NOUN
ejpam-5803	36	22	,	,	PUNCT
ejpam-5803	36	23	particularly	particularly	ADV
ejpam-5803	36	24	within	within	ADP
ejpam-5803	36	25	condensed	condensed	ADJ
ejpam-5803	36	26	matter	matter	NOUN
ejpam-5803	36	27	physics	physics	NOUN
ejpam-5803	36	28	.	.	PUNCT
ejpam-5803	37	1	unlike	unlike	ADP
ejpam-5803	37	2	other	other	ADJ
ejpam-5803	37	3	nonlinear	nonlinear	ADJ
ejpam-5803	37	4	evolution	evolution	NOUN
ejpam-5803	37	5	equations	equation	NOUN
ejpam-5803	37	6	,	,	PUNCT
ejpam-5803	37	7	the	the	DET
ejpam-5803	37	8	fchfa	fchfa	NOUN
ejpam-5803	37	9	system	system	NOUN
ejpam-5803	37	10	captures	capture	VERB
ejpam-5803	37	11	unique	unique	ADJ
ejpam-5803	37	12	interactions	interaction	NOUN
ejpam-5803	37	13	and	and	CCONJ
ejpam-5803	37	14	anisotropic	anisotropic	NOUN
ejpam-5803	37	15	attributes	attribute	NOUN
ejpam-5803	37	16	of	of	ADP
ejpam-5803	37	17	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	37	18	materials	material	NOUN
ejpam-5803	37	19	,	,	PUNCT
ejpam-5803	37	20	distinguishing	distinguish	VERB
ejpam-5803	37	21	it	it	PRON
ejpam-5803	37	22	from	from	ADP
ejpam-5803	37	23	classical	classical	ADJ
ejpam-5803	37	24	models	model	NOUN
ejpam-5803	37	25	.	.	PUNCT
ejpam-5803	38	1	its	its	PRON
ejpam-5803	38	2	fractional	fractional	ADJ
ejpam-5803	38	3	nature	nature	NOUN
ejpam-5803	38	4	permits	permit	VERB
ejpam-5803	38	5	a	a	DET
ejpam-5803	38	6	more	more	ADV
ejpam-5803	38	7	nuanced	nuanced	ADJ
ejpam-5803	38	8	representation	representation	NOUN
ejpam-5803	38	9	of	of	ADP
ejpam-5803	38	10	time	time	NOUN
ejpam-5803	38	11	-	-	PUNCT
ejpam-5803	38	12	dependent	dependent	ADJ
ejpam-5803	38	13	behaviors	behavior	NOUN
ejpam-5803	38	14	,	,	PUNCT
ejpam-5803	38	15	which	which	PRON
ejpam-5803	38	16	are	be	AUX
ejpam-5803	38	17	crucial	crucial	ADJ
ejpam-5803	38	18	for	for	ADP
ejpam-5803	38	19	comprehending	comprehend	VERB
ejpam-5803	38	20	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	38	21	dynamics	dynamic	NOUN
ejpam-5803	38	22	at	at	ADP
ejpam-5803	38	23	the	the	DET
ejpam-5803	38	24	microscopic	microscopic	ADJ
ejpam-5803	38	25	level	level	NOUN
ejpam-5803	38	26	[	[	X
ejpam-5803	38	27	12	12	NUM
ejpam-5803	38	28	]	]	PUNCT
ejpam-5803	38	29	.	.	PUNCT
ejpam-5803	39	1	the	the	DET
ejpam-5803	39	2	mathematical	mathematical	ADJ
ejpam-5803	39	3	framework	framework	NOUN
ejpam-5803	39	4	of	of	ADP
ejpam-5803	39	5	the	the	DET
ejpam-5803	39	6	fchfa	fchfa	NOUN
ejpam-5803	39	7	system	system	NOUN
ejpam-5803	39	8	is	be	AUX
ejpam-5803	39	9	delineated	delineate	VERB
ejpam-5803	39	10	as	as	SCONJ
ejpam-5803	39	11	follows	follow	VERB
ejpam-5803	39	12	[	[	X
ejpam-5803	39	13	13–15]:	13–15]:	NUM
ejpam-5803	39	14	q	q	NOUN
ejpam-5803	39	15	dϵ	dϵ	ADP
ejpam-5803	39	16	t	t	NOUN
ejpam-5803	39	17	∂u	∂u	PROPN
ejpam-5803	39	18	∂x	∂x	PROPN
ejpam-5803	40	1	+	+	CCONJ
ejpam-5803	40	2	p	p	X
ejpam-5803	40	3	∂2u	∂2u	ADJ
ejpam-5803	40	4	∂x	∂x	PROPN
ejpam-5803	40	5	∂x	∂x	PROPN
ejpam-5803	40	6	+	+	CCONJ
ejpam-5803	40	7	idϵ	idϵ	PROPN
ejpam-5803	40	8	t	t	NOUN
ejpam-5803	40	9	u+	u+	NUM
ejpam-5803	40	10	h	h	NOUN
ejpam-5803	40	11	u	u	NOUN
ejpam-5803	40	12	v	v	NOUN
ejpam-5803	40	13	=	=	SYM
ejpam-5803	40	14	0	0	NUM
ejpam-5803	40	15	,	,	PUNCT
ejpam-5803	40	16	∂v	∂v	PROPN
ejpam-5803	40	17	∂x	∂x	PROPN
ejpam-5803	40	18	−	−	NUM
ejpam-5803	40	19	2	2	NUM
ejpam-5803	40	20	ℓ	ℓ	NOUN
ejpam-5803	40	21	(	(	PUNCT
ejpam-5803	40	22	q	q	NOUN
ejpam-5803	40	23	dϵ	dϵ	PROPN
ejpam-5803	40	24	t	t	PROPN
ejpam-5803	40	25	|u|2	|u|2	PROPN
ejpam-5803	40	26	+	+	CCONJ
ejpam-5803	40	27	p	p	NOUN
ejpam-5803	40	28	∂|u|2	∂|u|2	PROPN
ejpam-5803	40	29	∂x	∂x	PROPN
ejpam-5803	40	30	)	)	PUNCT
ejpam-5803	41	1	=	=	SYM
ejpam-5803	41	2	0	0	NUM
ejpam-5803	41	3	,	,	PUNCT
ejpam-5803	41	4	(	(	PUNCT
ejpam-5803	41	5	1	1	X
ejpam-5803	41	6	)	)	PUNCT
ejpam-5803	41	7	where	where	SCONJ
ejpam-5803	41	8	u(x	u(x	NOUN
ejpam-5803	41	9	,	,	PUNCT
ejpam-5803	41	10	t	t	PROPN
ejpam-5803	41	11	)	)	PUNCT
ejpam-5803	41	12	,	,	PUNCT
ejpam-5803	41	13	v(x	v(x	PROPN
ejpam-5803	41	14	,	,	PUNCT
ejpam-5803	41	15	t	t	PROPN
ejpam-5803	41	16	)	)	PUNCT
ejpam-5803	41	17	,	,	PUNCT
ejpam-5803	41	18	|u|2	|u|2	PROPN
ejpam-5803	41	19	represent	represent	PROPN
ejpam-5803	41	20	,	,	PUNCT
ejpam-5803	41	21	respectively	respectively	ADV
ejpam-5803	41	22	,	,	PUNCT
ejpam-5803	41	23	the	the	DET
ejpam-5803	41	24	complex	complex	ADV
ejpam-5803	41	25	-	-	PUNCT
ejpam-5803	41	26	valued	value	VERB
ejpam-5803	41	27	transverse	transverse	NOUN
ejpam-5803	41	28	component	component	NOUN
ejpam-5803	41	29	of	of	ADP
ejpam-5803	41	30	magnetization	magnetization	NOUN
ejpam-5803	41	31	,	,	PUNCT
ejpam-5803	41	32	the	the	DET
ejpam-5803	41	33	longitudinal	longitudinal	ADJ
ejpam-5803	41	34	component	component	NOUN
ejpam-5803	41	35	of	of	ADP
ejpam-5803	41	36	magnetization	magnetization	NOUN
ejpam-5803	41	37	,	,	PUNCT
ejpam-5803	41	38	and	and	CCONJ
ejpam-5803	41	39	the	the	DET
ejpam-5803	41	40	squared	squared	ADJ
ejpam-5803	41	41	magnitude	magnitude	NOUN
ejpam-5803	41	42	of	of	ADP
ejpam-5803	41	43	the	the	DET
ejpam-5803	41	44	transverse	transverse	NOUN
ejpam-5803	41	45	magnetization	magnetization	NOUN
ejpam-5803	41	46	.	.	PUNCT
ejpam-5803	42	1	in	in	ADP
ejpam-5803	42	2	this	this	DET
ejpam-5803	42	3	investigation	investigation	NOUN
ejpam-5803	42	4	,	,	PUNCT
ejpam-5803	42	5	we	we	PRON
ejpam-5803	42	6	employ	employ	VERB
ejpam-5803	42	7	the	the	DET
ejpam-5803	42	8	truncated	truncated	ADJ
ejpam-5803	42	9	β	β	NOUN
ejpam-5803	42	10	-	-	ADJ
ejpam-5803	42	11	fractional	fractional	ADJ
ejpam-5803	42	12	derivative	derivative	NOUN
ejpam-5803	42	13	(	(	PUNCT
ejpam-5803	42	14	symbolized	symbolize	VERB
ejpam-5803	42	15	as	as	ADP
ejpam-5803	42	16	dϵ	dϵ	PROPN
ejpam-5803	42	17	t	t	PROPN
ejpam-5803	42	18	in	in	ADP
ejpam-5803	42	19	the	the	DET
ejpam-5803	42	20	main	main	ADJ
ejpam-5803	42	21	text	text	NOUN
ejpam-5803	42	22	and	and	CCONJ
ejpam-5803	42	23	idε	idε	NOUN
ejpam-5803	42	24	,	,	PUNCT
ejpam-5803	42	25	z	z	NOUN
ejpam-5803	42	26	β	β	NOUN
ejpam-5803	42	27	in	in	ADP
ejpam-5803	42	28	the	the	DET
ejpam-5803	42	29	appendix	appendix	NOUN
ejpam-5803	42	30	)	)	PUNCT
ejpam-5803	42	31	owing	owe	VERB
ejpam-5803	42	32	to	to	ADP
ejpam-5803	42	33	its	its	PRON
ejpam-5803	42	34	excellent	excellent	ADJ
ejpam-5803	42	35	capacity	capacity	NOUN
ejpam-5803	42	36	to	to	PART
ejpam-5803	42	37	model	model	VERB
ejpam-5803	42	38	memory	memory	NOUN
ejpam-5803	42	39	-	-	PUNCT
ejpam-5803	42	40	dependent	dependent	ADJ
ejpam-5803	42	41	processes	process	NOUN
ejpam-5803	42	42	in	in	ADP
ejpam-5803	42	43	magnetic	magnetic	ADJ
ejpam-5803	42	44	systems	system	NOUN
ejpam-5803	42	45	.	.	PUNCT
ejpam-5803	43	1	this	this	DET
ejpam-5803	43	2	selection	selection	NOUN
ejpam-5803	43	3	is	be	AUX
ejpam-5803	43	4	supported	support	VERB
ejpam-5803	43	5	by	by	ADP
ejpam-5803	43	6	the	the	DET
ejpam-5803	43	7	derivative	derivative	NOUN
ejpam-5803	43	8	’s	’s	PART
ejpam-5803	43	9	mathematical	mathematical	ADJ
ejpam-5803	43	10	attributes	attribute	NOUN
ejpam-5803	43	11	,	,	PUNCT
ejpam-5803	43	12	which	which	PRON
ejpam-5803	43	13	effectively	effectively	ADV
ejpam-5803	43	14	grasp	grasp	VERB
ejpam-5803	43	15	non	non	ADJ
ejpam-5803	43	16	-	-	ADJ
ejpam-5803	43	17	local	local	ADJ
ejpam-5803	43	18	interactions	interaction	NOUN
ejpam-5803	43	19	and	and	CCONJ
ejpam-5803	43	20	long	long	ADJ
ejpam-5803	43	21	-	-	PUNCT
ejpam-5803	43	22	range	range	NOUN
ejpam-5803	43	23	correlations	correlation	NOUN
ejpam-5803	43	24	in	in	ADP
ejpam-5803	43	25	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	43	26	materials	material	NOUN
ejpam-5803	43	27	—	—	PUNCT
ejpam-5803	43	28	phenomena	phenomena	VERB
ejpam-5803	43	29	that	that	SCONJ
ejpam-5803	43	30	conventional	conventional	ADJ
ejpam-5803	43	31	derivatives	derivative	NOUN
ejpam-5803	43	32	struggle	struggle	VERB
ejpam-5803	43	33	to	to	PART
ejpam-5803	43	34	represent	represent	VERB
ejpam-5803	43	35	accurately	accurately	ADV
ejpam-5803	43	36	.	.	PUNCT
ejpam-5803	44	1	the	the	DET
ejpam-5803	44	2	truncated	truncated	ADJ
ejpam-5803	44	3	β	β	NOUN
ejpam-5803	44	4	-	-	ADJ
ejpam-5803	44	5	fractional	fractional	ADJ
ejpam-5803	44	6	derivative	derivative	NOUN
ejpam-5803	44	7	offers	offer	VERB
ejpam-5803	44	8	a	a	DET
ejpam-5803	44	9	sturdy	sturdy	ADJ
ejpam-5803	44	10	framework	framework	NOUN
ejpam-5803	44	11	for	for	ADP
ejpam-5803	44	12	dissecting	dissect	VERB
ejpam-5803	44	13	the	the	DET
ejpam-5803	44	14	intricate	intricate	ADJ
ejpam-5803	44	15	temporal	temporal	ADJ
ejpam-5803	44	16	behaviors	behavior	NOUN
ejpam-5803	44	17	within	within	ADP
ejpam-5803	44	18	our	our	PRON
ejpam-5803	44	19	system	system	NOUN
ejpam-5803	44	20	,	,	PUNCT
ejpam-5803	44	21	especially	especially	ADV
ejpam-5803	44	22	the	the	DET
ejpam-5803	44	23	memory	memory	NOUN
ejpam-5803	44	24	effects	effect	NOUN
ejpam-5803	44	25	that	that	PRON
ejpam-5803	44	26	are	be	AUX
ejpam-5803	44	27	vital	vital	ADJ
ejpam-5803	44	28	for	for	ADP
ejpam-5803	44	29	comprehending	comprehending	ADJ
ejpam-5803	44	30	magnetization	magnetization	NOUN
ejpam-5803	44	31	dynamics	dynamic	NOUN
ejpam-5803	44	32	.	.	PUNCT
ejpam-5803	45	1	a	a	DET
ejpam-5803	45	2	detailed	detailed	ADJ
ejpam-5803	45	3	elaboration	elaboration	NOUN
ejpam-5803	45	4	of	of	ADP
ejpam-5803	45	5	this	this	DET
ejpam-5803	45	6	derivative	derivative	NOUN
ejpam-5803	45	7	and	and	CCONJ
ejpam-5803	45	8	its	its	PRON
ejpam-5803	45	9	properties	property	NOUN
ejpam-5803	45	10	is	be	AUX
ejpam-5803	45	11	furnished	furnish	VERB
ejpam-5803	45	12	in	in	ADP
ejpam-5803	45	13	appendix	appendix	NOUN
ejpam-5803	45	14	6	6	NUM
ejpam-5803	45	15	.	.	PUNCT
ejpam-5803	46	1	the	the	DET
ejpam-5803	46	2	model	model	NOUN
ejpam-5803	46	3	comprises	comprise	VERB
ejpam-5803	46	4	two	two	NUM
ejpam-5803	46	5	equations	equation	NOUN
ejpam-5803	46	6	,	,	PUNCT
ejpam-5803	46	7	which	which	PRON
ejpam-5803	46	8	can	can	AUX
ejpam-5803	46	9	be	be	AUX
ejpam-5803	46	10	physically	physically	ADV
ejpam-5803	46	11	interpreted	interpret	VERB
ejpam-5803	46	12	as	as	SCONJ
ejpam-5803	46	13	follows	follow	VERB
ejpam-5803	46	14	[	[	X
ejpam-5803	46	15	16	16	NUM
ejpam-5803	46	16	]	]	X
ejpam-5803	46	17	:	:	PUNCT
ejpam-5803	46	18	(	(	PUNCT
ejpam-5803	46	19	i	i	NOUN
ejpam-5803	46	20	)	)	PUNCT
ejpam-5803	46	21	first	first	ADJ
ejpam-5803	46	22	equation	equation	NOUN
ejpam-5803	46	23	’s	’s	PART
ejpam-5803	46	24	terms	term	NOUN
ejpam-5803	46	25	analysis	analysis	VERB
ejpam-5803	46	26	:	:	PUNCT
ejpam-5803	46	27	•	•	NOUN
ejpam-5803	46	28	q	q	NOUN
ejpam-5803	46	29	dϵ	dϵ	ADP
ejpam-5803	46	30	t	t	PROPN
ejpam-5803	46	31	(	(	PUNCT
ejpam-5803	46	32	∂u	∂u	PROPN
ejpam-5803	46	33	∂x	∂x	PROPN
ejpam-5803	46	34	)	)	PUNCT
ejpam-5803	46	35	:	:	PUNCT
ejpam-5803	46	36	fractional	fractional	ADJ
ejpam-5803	46	37	time	time	NOUN
ejpam-5803	46	38	derivative	derivative	NOUN
ejpam-5803	46	39	of	of	ADP
ejpam-5803	46	40	spatial	spatial	ADJ
ejpam-5803	46	41	change	change	NOUN
ejpam-5803	46	42	in	in	ADP
ejpam-5803	46	43	transverse	transverse	NOUN
ejpam-5803	46	44	magnetization	magnetization	NOUN
ejpam-5803	46	45	•	•	ADP
ejpam-5803	46	46	p	p	PROPN
ejpam-5803	46	47	∂2u	∂2u	PROPN
ejpam-5803	46	48	∂x2	∂x2	NOUN
ejpam-5803	46	49	:	:	PUNCT
ejpam-5803	46	50	spatial	spatial	ADJ
ejpam-5803	46	51	dispersion	dispersion	NOUN
ejpam-5803	46	52	term	term	NOUN
ejpam-5803	46	53	(	(	PUNCT
ejpam-5803	46	54	describing	describe	VERB
ejpam-5803	46	55	how	how	SCONJ
ejpam-5803	46	56	magnetization	magnetization	NOUN
ejpam-5803	46	57	spreads	spread	VERB
ejpam-5803	46	58	)	)	PUNCT
ejpam-5803	46	59	•	•	NUM
ejpam-5803	47	1	idϵ	idϵ	PROPN
ejpam-5803	47	2	tu	tu	NOUN
ejpam-5803	47	3	:	:	PUNCT
ejpam-5803	47	4	fractional	fractional	ADJ
ejpam-5803	47	5	time	time	NOUN
ejpam-5803	47	6	evolution	evolution	NOUN
ejpam-5803	47	7	of	of	ADP
ejpam-5803	47	8	transverse	transverse	NOUN
ejpam-5803	47	9	magnetization	magnetization	NOUN
ejpam-5803	47	10	•	•	NOUN
ejpam-5803	47	11	h	h	NOUN
ejpam-5803	47	12	u	u	NOUN
ejpam-5803	47	13	v	v	NOUN
ejpam-5803	47	14	:	:	PUNCT
ejpam-5803	47	15	coupling	couple	VERB
ejpam-5803	47	16	between	between	ADP
ejpam-5803	47	17	transverse	transverse	NOUN
ejpam-5803	47	18	and	and	CCONJ
ejpam-5803	47	19	longitudinal	longitudinal	ADJ
ejpam-5803	47	20	components	component	NOUN
ejpam-5803	47	21	(	(	PUNCT
ejpam-5803	47	22	ii	ii	NOUN
ejpam-5803	47	23	)	)	PUNCT
ejpam-5803	47	24	second	second	ADJ
ejpam-5803	47	25	equation	equation	NOUN
ejpam-5803	47	26	’s	’s	PART
ejpam-5803	47	27	terms	term	NOUN
ejpam-5803	47	28	analysis	analysis	NOUN
ejpam-5803	47	29	:	:	PUNCT
ejpam-5803	47	30	m.	m.	NOUN
ejpam-5803	47	31	m.	m.	NOUN
ejpam-5803	47	32	a.	a.	NOUN
ejpam-5803	47	33	khater	khater	PROPN
ejpam-5803	47	34	/	/	SYM
ejpam-5803	47	35	eur	eur	PROPN
ejpam-5803	47	36	.	.	PUNCT
ejpam-5803	48	1	j.	j.	PROPN
ejpam-5803	48	2	pure	pure	PROPN
ejpam-5803	48	3	appl	appl	PROPN
ejpam-5803	48	4	.	.	PROPN
ejpam-5803	48	5	math	math	PROPN
ejpam-5803	48	6	,	,	PUNCT
ejpam-5803	48	7	18	18	NUM
ejpam-5803	48	8	(	(	PUNCT
ejpam-5803	48	9	4	4	NUM
ejpam-5803	48	10	)	)	PUNCT
ejpam-5803	48	11	(	(	PUNCT
ejpam-5803	48	12	2025	2025	NUM
ejpam-5803	48	13	)	)	PUNCT
ejpam-5803	48	14	,	,	PUNCT
ejpam-5803	48	15	5803	5803	NUM
ejpam-5803	48	16	4	4	NUM
ejpam-5803	48	17	of	of	ADP
ejpam-5803	48	18	31	31	NUM
ejpam-5803	48	19	•	•	NOUN
ejpam-5803	48	20	∂v	∂v	PROPN
ejpam-5803	48	21	∂x	∂x	PROPN
ejpam-5803	48	22	:	:	PUNCT
ejpam-5803	49	1	spatial	spatial	ADJ
ejpam-5803	49	2	variation	variation	NOUN
ejpam-5803	49	3	of	of	ADP
ejpam-5803	49	4	longitudinal	longitudinal	ADJ
ejpam-5803	49	5	magnetization	magnetization	NOUN
ejpam-5803	49	6	•	•	ADP
ejpam-5803	49	7	dϵ	dϵ	PROPN
ejpam-5803	49	8	t	t	PROPN
ejpam-5803	49	9	|u|2	|u|2	PROPN
ejpam-5803	49	10	:	:	PUNCT
ejpam-5803	49	11	fractional	fractional	ADJ
ejpam-5803	49	12	time	time	NOUN
ejpam-5803	49	13	rate	rate	NOUN
ejpam-5803	49	14	of	of	ADP
ejpam-5803	49	15	change	change	NOUN
ejpam-5803	49	16	of	of	ADP
ejpam-5803	49	17	magnetization	magnetization	NOUN
ejpam-5803	49	18	intensity	intensity	NOUN
ejpam-5803	49	19	•	•	ADJ
ejpam-5803	49	20	∂|u|2	∂|u|2	PROPN
ejpam-5803	49	21	∂x	∂x	PROPN
ejpam-5803	49	22	:	:	PUNCT
ejpam-5803	49	23	spatial	spatial	ADJ
ejpam-5803	49	24	variation	variation	NOUN
ejpam-5803	49	25	of	of	ADP
ejpam-5803	49	26	magnetization	magnetization	NOUN
ejpam-5803	49	27	intensity	intensity	NOUN
ejpam-5803	49	28	additionally	additionally	ADV
ejpam-5803	49	29	,	,	PUNCT
ejpam-5803	49	30	the	the	DET
ejpam-5803	49	31	physical	physical	ADJ
ejpam-5803	49	32	meaning	meaning	NOUN
ejpam-5803	49	33	of	of	ADP
ejpam-5803	49	34	the	the	DET
ejpam-5803	49	35	above	above	ADV
ejpam-5803	49	36	-	-	PUNCT
ejpam-5803	49	37	mentioned	mention	VERB
ejpam-5803	49	38	parameters	parameter	NOUN
ejpam-5803	49	39	in	in	ADP
ejpam-5803	49	40	the	the	DET
ejpam-5803	49	41	fchfa	fchfa	NOUN
ejpam-5803	49	42	system	system	NOUN
ejpam-5803	49	43	(	(	PUNCT
ejpam-5803	49	44	eq	eq	NOUN
ejpam-5803	49	45	.	.	PUNCT
ejpam-5803	50	1	(	(	PUNCT
ejpam-5803	50	2	1	1	NUM
ejpam-5803	50	3	)	)	PUNCT
ejpam-5803	50	4	)	)	PUNCT
ejpam-5803	50	5	can	can	AUX
ejpam-5803	50	6	be	be	AUX
ejpam-5803	50	7	explained	explain	VERB
ejpam-5803	50	8	as	as	SCONJ
ejpam-5803	50	9	follows	follow	VERB
ejpam-5803	50	10	•	•	NOUN
ejpam-5803	50	11	q	q	NOUN
ejpam-5803	50	12	:	:	PUNCT
ejpam-5803	50	13	controls	control	VERB
ejpam-5803	50	14	the	the	DET
ejpam-5803	50	15	strength	strength	NOUN
ejpam-5803	50	16	of	of	ADP
ejpam-5803	50	17	fractional	fractional	ADJ
ejpam-5803	50	18	time	time	NOUN
ejpam-5803	51	1	derivative	derivative	ADJ
ejpam-5803	51	2	effects	effect	NOUN
ejpam-5803	51	3	•	•	ADP
ejpam-5803	51	4	p	p	X
ejpam-5803	51	5	:	:	PUNCT
ejpam-5803	51	6	relates	relate	VERB
ejpam-5803	51	7	to	to	ADP
ejpam-5803	51	8	the	the	DET
ejpam-5803	51	9	spatial	spatial	ADJ
ejpam-5803	51	10	dispersion	dispersion	NOUN
ejpam-5803	51	11	strength	strength	NOUN
ejpam-5803	51	12	•	•	ADP
ejpam-5803	51	13	h	h	NOUN
ejpam-5803	51	14	:	:	PUNCT
ejpam-5803	51	15	coupling	couple	VERB
ejpam-5803	51	16	coefficient	coefficient	NOUN
ejpam-5803	51	17	between	between	ADP
ejpam-5803	51	18	transverse	transverse	NOUN
ejpam-5803	51	19	and	and	CCONJ
ejpam-5803	51	20	longitudinal	longitudinal	ADJ
ejpam-5803	51	21	components	component	NOUN
ejpam-5803	51	22	•	•	NOUN
ejpam-5803	51	23	ℓ	ℓ	ADV
ejpam-5803	51	24	:	:	PUNCT
ejpam-5803	51	25	scaling	scale	VERB
ejpam-5803	51	26	parameter	parameter	NOUN
ejpam-5803	51	27	affecting	affect	VERB
ejpam-5803	51	28	the	the	DET
ejpam-5803	51	29	relationship	relationship	NOUN
ejpam-5803	51	30	between	between	ADP
ejpam-5803	51	31	transverse	transverse	NOUN
ejpam-5803	51	32	and	and	CCONJ
ejpam-5803	51	33	longitudinal	longitudinal	ADJ
ejpam-5803	51	34	components	component	NOUN
ejpam-5803	51	35	the	the	DET
ejpam-5803	51	36	analyzed	analyze	VERB
ejpam-5803	51	37	model	model	NOUN
ejpam-5803	51	38	(	(	PUNCT
ejpam-5803	51	39	eq	eq	NOUN
ejpam-5803	51	40	.	.	PUNCT
ejpam-5803	52	1	(	(	PUNCT
ejpam-5803	52	2	1	1	NUM
ejpam-5803	52	3	)	)	PUNCT
ejpam-5803	52	4	)	)	PUNCT
ejpam-5803	52	5	encapsulates	encapsulate	VERB
ejpam-5803	52	6	vital	vital	ADJ
ejpam-5803	52	7	physical	physical	ADJ
ejpam-5803	52	8	attributes	attribute	NOUN
ejpam-5803	52	9	pertinent	pertinent	ADJ
ejpam-5803	52	10	to	to	ADP
ejpam-5803	52	11	nonlinear	nonlinear	ADJ
ejpam-5803	52	12	magnetic	magnetic	ADJ
ejpam-5803	52	13	dynamics	dynamic	NOUN
ejpam-5803	52	14	,	,	PUNCT
ejpam-5803	52	15	particularly	particularly	ADV
ejpam-5803	52	16	its	its	PRON
ejpam-5803	52	17	capacity	capacity	NOUN
ejpam-5803	52	18	to	to	PART
ejpam-5803	52	19	depict	depict	VERB
ejpam-5803	52	20	the	the	DET
ejpam-5803	52	21	interaction	interaction	NOUN
ejpam-5803	52	22	between	between	ADP
ejpam-5803	52	23	transverse	transverse	NOUN
ejpam-5803	52	24	and	and	CCONJ
ejpam-5803	52	25	longitudinal	longitudinal	ADJ
ejpam-5803	52	26	magnetization	magnetization	NOUN
ejpam-5803	52	27	components	component	NOUN
ejpam-5803	52	28	.	.	PUNCT
ejpam-5803	53	1	by	by	ADP
ejpam-5803	53	2	integrating	integrate	VERB
ejpam-5803	53	3	the	the	DET
ejpam-5803	53	4	truncated	truncated	ADJ
ejpam-5803	53	5	βfractional	βfractional	ADJ
ejpam-5803	53	6	derivative	derivative	NOUN
ejpam-5803	53	7	,	,	PUNCT
ejpam-5803	53	8	denoted	denote	VERB
ejpam-5803	53	9	as	as	ADP
ejpam-5803	53	10	dϵ	dϵ	PROPN
ejpam-5803	53	11	,	,	PUNCT
ejpam-5803	53	12	0	0	PUNCT
ejpam-5803	53	13	<	<	X
ejpam-5803	53	14	ϵ	ϵ	X
ejpam-5803	53	15	≤	≤	NUM
ejpam-5803	53	16	1	1	NUM
ejpam-5803	53	17	,	,	PUNCT
ejpam-5803	53	18	the	the	DET
ejpam-5803	53	19	model	model	NOUN
ejpam-5803	53	20	accommodates	accommodate	VERB
ejpam-5803	53	21	memory	memory	NOUN
ejpam-5803	53	22	effects	effect	NOUN
ejpam-5803	53	23	and	and	CCONJ
ejpam-5803	53	24	non	non	ADJ
ejpam-5803	53	25	-	-	ADJ
ejpam-5803	53	26	local	local	ADJ
ejpam-5803	53	27	interactions	interaction	NOUN
ejpam-5803	53	28	within	within	ADP
ejpam-5803	53	29	the	the	DET
ejpam-5803	53	30	magnetic	magnetic	ADJ
ejpam-5803	53	31	medium	medium	NOUN
ejpam-5803	53	32	.	.	PUNCT
ejpam-5803	54	1	the	the	DET
ejpam-5803	54	2	selection	selection	NOUN
ejpam-5803	54	3	of	of	ADP
ejpam-5803	54	4	this	this	DET
ejpam-5803	54	5	particular	particular	ADJ
ejpam-5803	54	6	fractional	fractional	ADJ
ejpam-5803	54	7	derivative	derivative	ADJ
ejpam-5803	54	8	formulation	formulation	NOUN
ejpam-5803	54	9	stems	stem	VERB
ejpam-5803	54	10	from	from	ADP
ejpam-5803	54	11	its	its	PRON
ejpam-5803	54	12	preservation	preservation	NOUN
ejpam-5803	54	13	of	of	ADP
ejpam-5803	54	14	key	key	ADJ
ejpam-5803	54	15	mathematical	mathematical	ADJ
ejpam-5803	54	16	properties	property	NOUN
ejpam-5803	54	17	,	,	PUNCT
ejpam-5803	54	18	such	such	ADJ
ejpam-5803	54	19	as	as	ADP
ejpam-5803	54	20	the	the	DET
ejpam-5803	54	21	chain	chain	NOUN
ejpam-5803	54	22	rule	rule	NOUN
ejpam-5803	54	23	and	and	CCONJ
ejpam-5803	54	24	product	product	NOUN
ejpam-5803	54	25	rule	rule	NOUN
ejpam-5803	54	26	,	,	PUNCT
ejpam-5803	54	27	while	while	SCONJ
ejpam-5803	54	28	adeptly	adeptly	ADV
ejpam-5803	54	29	modeling	model	VERB
ejpam-5803	54	30	the	the	DET
ejpam-5803	54	31	non	non	ADJ
ejpam-5803	54	32	-	-	ADJ
ejpam-5803	54	33	markovian	markovian	ADJ
ejpam-5803	54	34	processes	process	NOUN
ejpam-5803	54	35	intrinsic	intrinsic	ADJ
ejpam-5803	54	36	to	to	ADP
ejpam-5803	54	37	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	54	38	systems	system	NOUN
ejpam-5803	54	39	.	.	PUNCT
ejpam-5803	55	1	distinct	distinct	ADJ
ejpam-5803	55	2	from	from	ADP
ejpam-5803	55	3	alternative	alternative	ADJ
ejpam-5803	55	4	fractional	fractional	ADJ
ejpam-5803	55	5	derivatives	derivative	NOUN
ejpam-5803	55	6	,	,	PUNCT
ejpam-5803	55	7	the	the	DET
ejpam-5803	55	8	truncated	truncated	ADJ
ejpam-5803	55	9	β	β	NOUN
ejpam-5803	55	10	-	-	ADJ
ejpam-5803	55	11	fractional	fractional	ADJ
ejpam-5803	55	12	derivative	derivative	NOUN
ejpam-5803	55	13	offers	offer	VERB
ejpam-5803	55	14	a	a	DET
ejpam-5803	55	15	more	more	ADV
ejpam-5803	55	16	pragmatic	pragmatic	ADJ
ejpam-5803	55	17	mathematical	mathematical	ADJ
ejpam-5803	55	18	framework	framework	NOUN
ejpam-5803	55	19	that	that	PRON
ejpam-5803	55	20	streamlines	streamline	VERB
ejpam-5803	55	21	both	both	CCONJ
ejpam-5803	55	22	analytical	analytical	ADJ
ejpam-5803	55	23	and	and	CCONJ
ejpam-5803	55	24	numerical	numerical	ADJ
ejpam-5803	55	25	solutions	solution	NOUN
ejpam-5803	55	26	,	,	PUNCT
ejpam-5803	55	27	rendering	render	VERB
ejpam-5803	55	28	it	it	PRON
ejpam-5803	55	29	exceptionally	exceptionally	ADV
ejpam-5803	55	30	fitting	fitting	ADJ
ejpam-5803	55	31	for	for	ADP
ejpam-5803	55	32	our	our	PRON
ejpam-5803	55	33	examination	examination	NOUN
ejpam-5803	55	34	of	of	ADP
ejpam-5803	55	35	complex	complex	ADJ
ejpam-5803	55	36	magnetization	magnetization	NOUN
ejpam-5803	55	37	dynamics	dynamic	NOUN
ejpam-5803	55	38	.	.	PUNCT
ejpam-5803	56	1	this	this	DET
ejpam-5803	56	2	configuration	configuration	NOUN
ejpam-5803	56	3	enables	enable	VERB
ejpam-5803	56	4	a	a	DET
ejpam-5803	56	5	coupling	coupling	NOUN
ejpam-5803	56	6	mechanism	mechanism	NOUN
ejpam-5803	56	7	wherein	wherein	ADJ
ejpam-5803	56	8	alterations	alteration	NOUN
ejpam-5803	56	9	in	in	ADP
ejpam-5803	56	10	transverse	transverse	NOUN
ejpam-5803	56	11	magnetization	magnetization	NOUN
ejpam-5803	56	12	directly	directly	ADV
ejpam-5803	56	13	impact	impact	VERB
ejpam-5803	56	14	the	the	DET
ejpam-5803	56	15	longitudinal	longitudinal	ADJ
ejpam-5803	56	16	component	component	NOUN
ejpam-5803	56	17	and	and	CCONJ
ejpam-5803	56	18	vice	vice	NOUN
ejpam-5803	56	19	versa	versa	ADV
ejpam-5803	56	20	.	.	PUNCT
ejpam-5803	57	1	consequently	consequently	ADV
ejpam-5803	57	2	,	,	PUNCT
ejpam-5803	57	3	the	the	DET
ejpam-5803	57	4	model	model	NOUN
ejpam-5803	57	5	sustains	sustain	VERB
ejpam-5803	57	6	diverse	diverse	ADJ
ejpam-5803	57	7	magnetic	magnetic	ADJ
ejpam-5803	57	8	formations	formation	NOUN
ejpam-5803	57	9	,	,	PUNCT
ejpam-5803	57	10	including	include	VERB
ejpam-5803	57	11	solitons	soliton	NOUN
ejpam-5803	57	12	and	and	CCONJ
ejpam-5803	57	13	spin	spin	VERB
ejpam-5803	57	14	waves	wave	NOUN
ejpam-5803	57	15	,	,	PUNCT
ejpam-5803	57	16	mirroring	mirror	VERB
ejpam-5803	57	17	a	a	DET
ejpam-5803	57	18	spectrum	spectrum	NOUN
ejpam-5803	57	19	of	of	ADP
ejpam-5803	57	20	potential	potential	ADJ
ejpam-5803	57	21	dynamic	dynamic	ADJ
ejpam-5803	57	22	behaviors	behavior	NOUN
ejpam-5803	57	23	within	within	ADP
ejpam-5803	57	24	magnetic	magnetic	ADJ
ejpam-5803	57	25	systems	system	NOUN
ejpam-5803	57	26	[	[	X
ejpam-5803	57	27	17	17	NUM
ejpam-5803	57	28	]	]	PUNCT
ejpam-5803	57	29	.	.	PUNCT
ejpam-5803	58	1	the	the	DET
ejpam-5803	58	2	physical	physical	ADJ
ejpam-5803	58	3	relevance	relevance	NOUN
ejpam-5803	58	4	of	of	ADP
ejpam-5803	58	5	this	this	DET
ejpam-5803	58	6	model	model	NOUN
ejpam-5803	58	7	is	be	AUX
ejpam-5803	58	8	evident	evident	ADJ
ejpam-5803	58	9	in	in	ADP
ejpam-5803	58	10	its	its	PRON
ejpam-5803	58	11	applicability	applicability	NOUN
ejpam-5803	58	12	to	to	ADP
ejpam-5803	58	13	multiple	multiple	ADJ
ejpam-5803	58	14	complex	complex	ADJ
ejpam-5803	58	15	phenomena	phenomenon	NOUN
ejpam-5803	58	16	in	in	ADP
ejpam-5803	58	17	magnetic	magnetic	ADJ
ejpam-5803	58	18	materials	material	NOUN
ejpam-5803	58	19	.	.	PUNCT
ejpam-5803	59	1	it	it	PRON
ejpam-5803	59	2	serves	serve	VERB
ejpam-5803	59	3	as	as	ADP
ejpam-5803	59	4	a	a	DET
ejpam-5803	59	5	valuable	valuable	ADJ
ejpam-5803	59	6	tool	tool	NOUN
ejpam-5803	59	7	for	for	ADP
ejpam-5803	59	8	investigating	investigate	VERB
ejpam-5803	59	9	magnetic	magnetic	ADJ
ejpam-5803	59	10	domain	domain	NOUN
ejpam-5803	59	11	dynamics	dynamic	NOUN
ejpam-5803	59	12	,	,	PUNCT
ejpam-5803	59	13	comprehending	comprehend	VERB
ejpam-5803	59	14	spin	spin	NOUN
ejpam-5803	59	15	wave	wave	NOUN
ejpam-5803	59	16	propagation	propagation	NOUN
ejpam-5803	59	17	,	,	PUNCT
ejpam-5803	59	18	examining	examine	VERB
ejpam-5803	59	19	phase	phase	NOUN
ejpam-5803	59	20	transitions	transition	NOUN
ejpam-5803	59	21	in	in	ADP
ejpam-5803	59	22	magnetization	magnetization	NOUN
ejpam-5803	59	23	,	,	PUNCT
ejpam-5803	59	24	and	and	CCONJ
ejpam-5803	59	25	delineating	delineate	VERB
ejpam-5803	59	26	non	non	ADJ
ejpam-5803	59	27	-	-	ADJ
ejpam-5803	59	28	local	local	ADJ
ejpam-5803	59	29	magnetic	magnetic	ADJ
ejpam-5803	59	30	interactions	interaction	NOUN
ejpam-5803	59	31	[	[	X
ejpam-5803	59	32	5	5	NUM
ejpam-5803	59	33	]	]	PUNCT
ejpam-5803	59	34	.	.	PUNCT
ejpam-5803	60	1	moreover	moreover	ADV
ejpam-5803	60	2	,	,	PUNCT
ejpam-5803	60	3	it	it	PRON
ejpam-5803	60	4	facilitates	facilitate	VERB
ejpam-5803	60	5	the	the	DET
ejpam-5803	60	6	modeling	modeling	NOUN
ejpam-5803	60	7	of	of	ADP
ejpam-5803	60	8	memory	memory	NOUN
ejpam-5803	60	9	effects	effect	NOUN
ejpam-5803	60	10	,	,	PUNCT
ejpam-5803	60	11	which	which	PRON
ejpam-5803	60	12	are	be	AUX
ejpam-5803	60	13	of	of	ADP
ejpam-5803	60	14	growing	grow	VERB
ejpam-5803	60	15	importance	importance	NOUN
ejpam-5803	60	16	in	in	ADP
ejpam-5803	60	17	the	the	DET
ejpam-5803	60	18	study	study	NOUN
ejpam-5803	60	19	of	of	ADP
ejpam-5803	60	20	magnetic	magnetic	ADJ
ejpam-5803	60	21	materials	material	NOUN
ejpam-5803	60	22	exhibiting	exhibit	VERB
ejpam-5803	60	23	intricate	intricate	ADJ
ejpam-5803	60	24	temporal	temporal	ADJ
ejpam-5803	60	25	behaviors	behavior	NOUN
ejpam-5803	60	26	[	[	X
ejpam-5803	60	27	17	17	NUM
ejpam-5803	60	28	]	]	PUNCT
ejpam-5803	60	29	.	.	PUNCT
ejpam-5803	61	1	contrasted	contrast	VERB
ejpam-5803	61	2	with	with	ADP
ejpam-5803	61	3	classical	classical	ADJ
ejpam-5803	61	4	heisenberg	heisenberg	PROPN
ejpam-5803	61	5	models	model	NOUN
ejpam-5803	61	6	,	,	PUNCT
ejpam-5803	61	7	the	the	DET
ejpam-5803	61	8	incorporation	incorporation	NOUN
ejpam-5803	61	9	of	of	ADP
ejpam-5803	61	10	fractional	fractional	ADJ
ejpam-5803	61	11	derivatives	derivative	NOUN
ejpam-5803	61	12	enhances	enhance	VERB
ejpam-5803	61	13	this	this	DET
ejpam-5803	61	14	model	model	NOUN
ejpam-5803	61	15	’s	’s	PART
ejpam-5803	61	16	sophistication	sophistication	NOUN
ejpam-5803	61	17	by	by	ADP
ejpam-5803	61	18	encompassing	encompass	VERB
ejpam-5803	61	19	long	long	ADJ
ejpam-5803	61	20	-	-	PUNCT
ejpam-5803	61	21	range	range	NOUN
ejpam-5803	61	22	magnetic	magnetic	ADJ
ejpam-5803	61	23	interactions	interaction	NOUN
ejpam-5803	61	24	and	and	CCONJ
ejpam-5803	61	25	memory	memory	NOUN
ejpam-5803	61	26	effects	effect	NOUN
ejpam-5803	61	27	in	in	ADP
ejpam-5803	61	28	magnetization	magnetization	NOUN
ejpam-5803	61	29	dynamics	dynamic	NOUN
ejpam-5803	61	30	.	.	PUNCT
ejpam-5803	62	1	additionally	additionally	ADV
ejpam-5803	62	2	,	,	PUNCT
ejpam-5803	62	3	it	it	PRON
ejpam-5803	62	4	captures	capture	VERB
ejpam-5803	62	5	non	non	ADJ
ejpam-5803	62	6	-	-	ADJ
ejpam-5803	62	7	local	local	ADJ
ejpam-5803	62	8	spatial	spatial	ADJ
ejpam-5803	62	9	correlations	correlation	NOUN
ejpam-5803	62	10	,	,	PUNCT
ejpam-5803	62	11	furnishing	furnish	VERB
ejpam-5803	62	12	a	a	DET
ejpam-5803	62	13	framework	framework	NOUN
ejpam-5803	62	14	for	for	ADP
ejpam-5803	62	15	exploring	explore	VERB
ejpam-5803	62	16	anomalous	anomalous	ADJ
ejpam-5803	62	17	diffusion	diffusion	NOUN
ejpam-5803	62	18	processes	process	NOUN
ejpam-5803	62	19	in	in	ADP
ejpam-5803	62	20	magnetic	magnetic	ADJ
ejpam-5803	62	21	media	medium	NOUN
ejpam-5803	62	22	.	.	PUNCT
ejpam-5803	63	1	these	these	DET
ejpam-5803	63	2	improvements	improvement	NOUN
ejpam-5803	63	3	position	position	VERB
ejpam-5803	63	4	this	this	DET
ejpam-5803	63	5	model	model	NOUN
ejpam-5803	63	6	as	as	ADP
ejpam-5803	63	7	an	an	DET
ejpam-5803	63	8	advanced	advanced	ADJ
ejpam-5803	63	9	instrument	instrument	NOUN
ejpam-5803	63	10	m.	m.	NOUN
ejpam-5803	63	11	m.	m.	NOUN
ejpam-5803	63	12	a.	a.	NOUN
ejpam-5803	63	13	khater	khater	PROPN
ejpam-5803	63	14	/	/	SYM
ejpam-5803	63	15	eur	eur	PROPN
ejpam-5803	63	16	.	.	PUNCT
ejpam-5803	64	1	j.	j.	PROPN
ejpam-5803	64	2	pure	pure	PROPN
ejpam-5803	64	3	appl	appl	PROPN
ejpam-5803	64	4	.	.	PROPN
ejpam-5803	64	5	math	math	PROPN
ejpam-5803	64	6	,	,	PUNCT
ejpam-5803	64	7	18	18	NUM
ejpam-5803	64	8	(	(	PUNCT
ejpam-5803	64	9	4	4	NUM
ejpam-5803	64	10	)	)	PUNCT
ejpam-5803	64	11	(	(	PUNCT
ejpam-5803	64	12	2025	2025	NUM
ejpam-5803	64	13	)	)	PUNCT
ejpam-5803	64	14	,	,	PUNCT
ejpam-5803	64	15	5803	5803	NUM
ejpam-5803	64	16	5	5	NUM
ejpam-5803	64	17	of	of	ADP
ejpam-5803	64	18	31	31	NUM
ejpam-5803	64	19	for	for	ADP
ejpam-5803	64	20	probing	probe	VERB
ejpam-5803	64	21	the	the	DET
ejpam-5803	64	22	complex	complex	ADJ
ejpam-5803	64	23	dynamics	dynamic	NOUN
ejpam-5803	64	24	of	of	ADP
ejpam-5803	64	25	magnetization	magnetization	NOUN
ejpam-5803	64	26	in	in	ADP
ejpam-5803	64	27	contemporary	contemporary	PROPN
ejpam-5803	64	28	magnetic	magnetic	PROPN
ejpam-5803	64	29	systems	system	NOUN
ejpam-5803	64	30	[	[	X
ejpam-5803	64	31	5	5	NUM
ejpam-5803	64	32	]	]	PUNCT
ejpam-5803	64	33	.	.	PUNCT
ejpam-5803	65	1	the	the	DET
ejpam-5803	65	2	study	study	NOUN
ejpam-5803	65	3	’s	’s	PART
ejpam-5803	65	4	methodology	methodology	NOUN
ejpam-5803	65	5	combines	combine	VERB
ejpam-5803	65	6	analytical	analytical	ADJ
ejpam-5803	65	7	and	and	CCONJ
ejpam-5803	65	8	numerical	numerical	ADJ
ejpam-5803	65	9	techniques	technique	NOUN
ejpam-5803	65	10	,	,	PUNCT
ejpam-5803	65	11	leveraging	leverage	VERB
ejpam-5803	65	12	the	the	DET
ejpam-5803	65	13	unique	unique	ADJ
ejpam-5803	65	14	advantages	advantage	NOUN
ejpam-5803	65	15	of	of	ADP
ejpam-5803	65	16	each	each	DET
ejpam-5803	65	17	approach	approach	NOUN
ejpam-5803	65	18	.	.	PUNCT
ejpam-5803	66	1	specifically	specifically	ADV
ejpam-5803	66	2	,	,	PUNCT
ejpam-5803	66	3	the	the	DET
ejpam-5803	66	4	khater	khater	NOUN
ejpam-5803	66	5	ii	ii	PROPN
ejpam-5803	66	6	and	and	CCONJ
ejpam-5803	66	7	enhanced	enhance	VERB
ejpam-5803	66	8	kudryashov	kudryashov	ADJ
ejpam-5803	66	9	methods	method	NOUN
ejpam-5803	66	10	are	be	AUX
ejpam-5803	66	11	utilized	utilize	VERB
ejpam-5803	66	12	to	to	PART
ejpam-5803	66	13	derive	derive	VERB
ejpam-5803	66	14	exact	exact	ADJ
ejpam-5803	66	15	solutions	solution	NOUN
ejpam-5803	66	16	,	,	PUNCT
ejpam-5803	66	17	whereas	whereas	SCONJ
ejpam-5803	66	18	the	the	DET
ejpam-5803	66	19	adomian	adomian	NOUN
ejpam-5803	66	20	decomposition	decomposition	NOUN
ejpam-5803	66	21	scheme	scheme	NOUN
ejpam-5803	66	22	evaluates	evaluate	VERB
ejpam-5803	66	23	the	the	DET
ejpam-5803	66	24	accuracy	accuracy	NOUN
ejpam-5803	66	25	of	of	ADP
ejpam-5803	66	26	these	these	DET
ejpam-5803	66	27	solutions	solution	NOUN
ejpam-5803	66	28	,	,	PUNCT
ejpam-5803	66	29	ensuring	ensure	VERB
ejpam-5803	66	30	a	a	DET
ejpam-5803	66	31	thorough	thorough	ADJ
ejpam-5803	66	32	analysis	analysis	NOUN
ejpam-5803	66	33	of	of	ADP
ejpam-5803	66	34	the	the	DET
ejpam-5803	66	35	system	system	NOUN
ejpam-5803	66	36	’s	’s	PART
ejpam-5803	66	37	complex	complex	ADJ
ejpam-5803	66	38	behaviors	behavior	NOUN
ejpam-5803	66	39	[	[	X
ejpam-5803	66	40	7	7	NUM
ejpam-5803	66	41	,	,	PUNCT
ejpam-5803	66	42	8	8	NUM
ejpam-5803	66	43	,	,	PUNCT
ejpam-5803	66	44	18	18	NUM
ejpam-5803	66	45	,	,	PUNCT
ejpam-5803	66	46	19	19	NUM
ejpam-5803	66	47	]	]	PUNCT
ejpam-5803	66	48	.	.	PUNCT
ejpam-5803	67	1	this	this	DET
ejpam-5803	67	2	dual	dual	ADJ
ejpam-5803	67	3	approach	approach	NOUN
ejpam-5803	67	4	offers	offer	VERB
ejpam-5803	67	5	an	an	DET
ejpam-5803	67	6	all	all	ADV
ejpam-5803	67	7	-	-	PUNCT
ejpam-5803	67	8	encompassing	encompass	VERB
ejpam-5803	67	9	perspective	perspective	NOUN
ejpam-5803	67	10	on	on	ADP
ejpam-5803	67	11	the	the	DET
ejpam-5803	67	12	fchfa	fchfa	ADJ
ejpam-5803	67	13	system	system	NOUN
ejpam-5803	67	14	,	,	PUNCT
ejpam-5803	67	15	underscoring	underscore	VERB
ejpam-5803	67	16	the	the	DET
ejpam-5803	67	17	precision	precision	NOUN
ejpam-5803	67	18	of	of	ADP
ejpam-5803	67	19	fractional	fractional	ADJ
ejpam-5803	67	20	calculus	calculus	NOUN
ejpam-5803	67	21	in	in	ADP
ejpam-5803	67	22	capturing	capture	VERB
ejpam-5803	67	23	magnetization	magnetization	NOUN
ejpam-5803	67	24	dynamics	dynamic	NOUN
ejpam-5803	67	25	and	and	CCONJ
ejpam-5803	67	26	soliton	soliton	NOUN
ejpam-5803	67	27	behavior	behavior	NOUN
ejpam-5803	67	28	.	.	PUNCT
ejpam-5803	68	1	the	the	DET
ejpam-5803	68	2	results	result	NOUN
ejpam-5803	68	3	indicate	indicate	VERB
ejpam-5803	68	4	that	that	SCONJ
ejpam-5803	68	5	fractional	fractional	ADJ
ejpam-5803	68	6	derivatives	derivative	NOUN
ejpam-5803	68	7	are	be	AUX
ejpam-5803	68	8	indispensable	indispensable	ADJ
ejpam-5803	68	9	in	in	ADP
ejpam-5803	68	10	detailing	detail	VERB
ejpam-5803	68	11	wave	wave	NOUN
ejpam-5803	68	12	phenomena	phenomenon	NOUN
ejpam-5803	68	13	and	and	CCONJ
ejpam-5803	68	14	soliton	soliton	NOUN
ejpam-5803	68	15	properties	property	NOUN
ejpam-5803	68	16	that	that	PRON
ejpam-5803	68	17	prove	prove	VERB
ejpam-5803	68	18	challenging	challenging	ADJ
ejpam-5803	68	19	to	to	ADP
ejpam-5803	68	20	model	model	NOUN
ejpam-5803	68	21	with	with	ADP
ejpam-5803	68	22	conventional	conventional	ADJ
ejpam-5803	68	23	methods	method	NOUN
ejpam-5803	68	24	.	.	PUNCT
ejpam-5803	69	1	1.1	1.1	NUM
ejpam-5803	69	2	.	.	PUNCT
ejpam-5803	69	3	memory	memory	NOUN
ejpam-5803	69	4	effects	effect	NOUN
ejpam-5803	69	5	in	in	ADP
ejpam-5803	69	6	the	the	DET
ejpam-5803	69	7	fchfa	fchfa	NOUN
ejpam-5803	69	8	model	model	NOUN
ejpam-5803	69	9	the	the	DET
ejpam-5803	69	10	memory	memory	NOUN
ejpam-5803	69	11	effect	effect	NOUN
ejpam-5803	69	12	is	be	AUX
ejpam-5803	69	13	a	a	DET
ejpam-5803	69	14	fundamental	fundamental	ADJ
ejpam-5803	69	15	characteristic	characteristic	NOUN
ejpam-5803	69	16	of	of	ADP
ejpam-5803	69	17	fractional	fractional	ADJ
ejpam-5803	69	18	-	-	PUNCT
ejpam-5803	69	19	order	order	NOUN
ejpam-5803	69	20	systems	system	NOUN
ejpam-5803	69	21	that	that	PRON
ejpam-5803	69	22	distinguishes	distinguish	VERB
ejpam-5803	69	23	them	they	PRON
ejpam-5803	69	24	from	from	ADP
ejpam-5803	69	25	their	their	PRON
ejpam-5803	69	26	integer	integer	NOUN
ejpam-5803	69	27	-	-	PUNCT
ejpam-5803	69	28	order	order	NOUN
ejpam-5803	69	29	counterparts	counterpart	NOUN
ejpam-5803	69	30	.	.	PUNCT
ejpam-5803	70	1	in	in	ADP
ejpam-5803	70	2	the	the	DET
ejpam-5803	70	3	context	context	NOUN
ejpam-5803	70	4	of	of	ADP
ejpam-5803	70	5	our	our	PRON
ejpam-5803	70	6	fchfa	fchfa	NOUN
ejpam-5803	70	7	model	model	NOUN
ejpam-5803	70	8	,	,	PUNCT
ejpam-5803	70	9	this	this	DET
ejpam-5803	70	10	phenomenon	phenomenon	NOUN
ejpam-5803	70	11	manifests	manifest	VERB
ejpam-5803	70	12	as	as	ADP
ejpam-5803	70	13	the	the	DET
ejpam-5803	70	14	system	system	NOUN
ejpam-5803	70	15	’s	’s	PART
ejpam-5803	70	16	ability	ability	NOUN
ejpam-5803	70	17	to	to	PART
ejpam-5803	70	18	retain	retain	VERB
ejpam-5803	70	19	information	information	NOUN
ejpam-5803	70	20	about	about	ADP
ejpam-5803	70	21	its	its	PRON
ejpam-5803	70	22	past	past	ADJ
ejpam-5803	70	23	states	state	NOUN
ejpam-5803	70	24	,	,	PUNCT
ejpam-5803	70	25	allowing	allow	VERB
ejpam-5803	70	26	previous	previous	ADJ
ejpam-5803	70	27	magnetization	magnetization	NOUN
ejpam-5803	70	28	configurations	configuration	NOUN
ejpam-5803	70	29	to	to	PART
ejpam-5803	70	30	influence	influence	VERB
ejpam-5803	70	31	current	current	ADJ
ejpam-5803	70	32	and	and	CCONJ
ejpam-5803	70	33	future	future	ADJ
ejpam-5803	70	34	dynamics	dynamic	NOUN
ejpam-5803	70	35	.	.	PUNCT
ejpam-5803	71	1	this	this	DET
ejpam-5803	71	2	section	section	NOUN
ejpam-5803	71	3	provides	provide	VERB
ejpam-5803	71	4	a	a	DET
ejpam-5803	71	5	detailed	detailed	ADJ
ejpam-5803	71	6	analysis	analysis	NOUN
ejpam-5803	71	7	of	of	ADP
ejpam-5803	71	8	how	how	SCONJ
ejpam-5803	71	9	memory	memory	NOUN
ejpam-5803	71	10	effects	effect	NOUN
ejpam-5803	71	11	emerge	emerge	VERB
ejpam-5803	71	12	from	from	ADP
ejpam-5803	71	13	the	the	DET
ejpam-5803	71	14	truncated	truncated	ADJ
ejpam-5803	71	15	β	β	NOUN
ejpam-5803	71	16	-	-	ADJ
ejpam-5803	71	17	fractional	fractional	ADJ
ejpam-5803	71	18	derivative	derivative	ADJ
ejpam-5803	71	19	formulation	formulation	NOUN
ejpam-5803	71	20	and	and	CCONJ
ejpam-5803	71	21	their	their	PRON
ejpam-5803	71	22	physical	physical	ADJ
ejpam-5803	71	23	implications	implication	NOUN
ejpam-5803	71	24	in	in	ADP
ejpam-5803	71	25	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	71	26	systems	system	NOUN
ejpam-5803	71	27	.	.	PUNCT
ejpam-5803	72	1	mathematical	mathematical	ADJ
ejpam-5803	72	2	foundation	foundation	NOUN
ejpam-5803	72	3	of	of	ADP
ejpam-5803	72	4	memory	memory	NOUN
ejpam-5803	72	5	effects	effect	NOUN
ejpam-5803	72	6	the	the	DET
ejpam-5803	72	7	memory	memory	NOUN
ejpam-5803	72	8	effect	effect	NOUN
ejpam-5803	72	9	in	in	ADP
ejpam-5803	72	10	our	our	PRON
ejpam-5803	72	11	model	model	NOUN
ejpam-5803	72	12	is	be	AUX
ejpam-5803	72	13	mathematically	mathematically	ADV
ejpam-5803	72	14	encoded	encode	VERB
ejpam-5803	72	15	through	through	ADP
ejpam-5803	72	16	the	the	DET
ejpam-5803	72	17	truncated	truncated	ADJ
ejpam-5803	72	18	β	β	NOUN
ejpam-5803	72	19	-	-	ADJ
ejpam-5803	72	20	fractional	fractional	ADJ
ejpam-5803	72	21	derivative	derivative	ADJ
ejpam-5803	72	22	operator	operator	NOUN
ejpam-5803	72	23	dϵ	dϵ	PROPN
ejpam-5803	72	24	t	t	PROPN
ejpam-5803	72	25	.	.	PUNCT
ejpam-5803	73	1	unlike	unlike	ADP
ejpam-5803	73	2	conventional	conventional	ADJ
ejpam-5803	73	3	derivatives	derivative	NOUN
ejpam-5803	73	4	that	that	PRON
ejpam-5803	73	5	depend	depend	VERB
ejpam-5803	73	6	only	only	ADV
ejpam-5803	73	7	on	on	ADP
ejpam-5803	73	8	local	local	ADJ
ejpam-5803	73	9	information	information	NOUN
ejpam-5803	73	10	,	,	PUNCT
ejpam-5803	73	11	the	the	DET
ejpam-5803	73	12	truncated	truncated	ADJ
ejpam-5803	73	13	β	β	NOUN
ejpam-5803	73	14	-	-	ADJ
ejpam-5803	73	15	fractional	fractional	ADJ
ejpam-5803	73	16	derivative	derivative	ADJ
ejpam-5803	73	17	incorporates	incorporate	NOUN
ejpam-5803	73	18	weighted	weight	VERB
ejpam-5803	73	19	contributions	contribution	NOUN
ejpam-5803	73	20	from	from	ADP
ejpam-5803	73	21	all	all	DET
ejpam-5803	73	22	past	past	ADJ
ejpam-5803	73	23	states	state	NOUN
ejpam-5803	73	24	of	of	ADP
ejpam-5803	73	25	the	the	DET
ejpam-5803	73	26	system	system	NOUN
ejpam-5803	73	27	.	.	PUNCT
ejpam-5803	74	1	this	this	DET
ejpam-5803	74	2	non	non	ADJ
ejpam-5803	74	3	-	-	ADJ
ejpam-5803	74	4	local	local	ADJ
ejpam-5803	74	5	temporal	temporal	ADJ
ejpam-5803	74	6	dependence	dependence	NOUN
ejpam-5803	74	7	can	can	AUX
ejpam-5803	74	8	be	be	AUX
ejpam-5803	74	9	expressed	express	VERB
ejpam-5803	74	10	mathematically	mathematically	ADV
ejpam-5803	74	11	as	as	ADP
ejpam-5803	74	12	:	:	PUNCT
ejpam-5803	74	13	dϵ	dϵ	NOUN
ejpam-5803	74	14	tf(t	tf(t	NOUN
ejpam-5803	74	15	)	)	PUNCT
ejpam-5803	74	16	=	=	SYM
ejpam-5803	74	17	t1−ϵ	t1−ϵ	NOUN
ejpam-5803	74	18	γ(z+	γ(z+	NOUN
ejpam-5803	74	19	1	1	NUM
ejpam-5803	74	20	)	)	PUNCT
ejpam-5803	74	21	df(t	df(t	NOUN
ejpam-5803	74	22	)	)	PUNCT
ejpam-5803	74	23	dt	dt	X
ejpam-5803	75	1	(	(	PUNCT
ejpam-5803	75	2	2	2	NUM
ejpam-5803	75	3	)	)	PUNCT
ejpam-5803	75	4	where	where	SCONJ
ejpam-5803	75	5	0	0	NUM
ejpam-5803	75	6	<	<	X
ejpam-5803	75	7	ϵ	ϵ	X
ejpam-5803	75	8	<	<	X
ejpam-5803	75	9	1	1	NUM
ejpam-5803	75	10	and	and	CCONJ
ejpam-5803	75	11	z	z	NOUN
ejpam-5803	75	12	>	>	X
ejpam-5803	75	13	0	0	X
ejpam-5803	75	14	.	.	PUNCT
ejpam-5803	76	1	the	the	DET
ejpam-5803	76	2	factor	factor	NOUN
ejpam-5803	76	3	t1−ϵ	t1−ϵ	PROPN
ejpam-5803	76	4	γ(z+1	γ(z+1	PROPN
ejpam-5803	76	5	)	)	PUNCT
ejpam-5803	76	6	serves	serve	VERB
ejpam-5803	76	7	as	as	ADP
ejpam-5803	76	8	a	a	DET
ejpam-5803	76	9	weighting	weighting	NOUN
ejpam-5803	76	10	function	function	NOUN
ejpam-5803	76	11	that	that	PRON
ejpam-5803	76	12	determines	determine	VERB
ejpam-5803	76	13	how	how	SCONJ
ejpam-5803	76	14	strongly	strongly	ADV
ejpam-5803	76	15	past	past	ADJ
ejpam-5803	76	16	states	state	NOUN
ejpam-5803	76	17	influence	influence	VERB
ejpam-5803	76	18	the	the	DET
ejpam-5803	76	19	current	current	ADJ
ejpam-5803	76	20	rate	rate	NOUN
ejpam-5803	76	21	of	of	ADP
ejpam-5803	76	22	change	change	NOUN
ejpam-5803	76	23	.	.	PUNCT
ejpam-5803	77	1	as	as	ADP
ejpam-5803	77	2	ϵ	ϵ	PROPN
ejpam-5803	77	3	approaches	approach	NOUN
ejpam-5803	77	4	1	1	NUM
ejpam-5803	77	5	,	,	PUNCT
ejpam-5803	77	6	the	the	DET
ejpam-5803	77	7	memory	memory	NOUN
ejpam-5803	77	8	effect	effect	NOUN
ejpam-5803	77	9	weakens	weaken	VERB
ejpam-5803	77	10	,	,	PUNCT
ejpam-5803	77	11	and	and	CCONJ
ejpam-5803	77	12	the	the	DET
ejpam-5803	77	13	system	system	NOUN
ejpam-5803	77	14	behavior	behavior	NOUN
ejpam-5803	77	15	approaches	approach	VERB
ejpam-5803	77	16	that	that	PRON
ejpam-5803	77	17	of	of	ADP
ejpam-5803	77	18	a	a	DET
ejpam-5803	77	19	conventional	conventional	ADJ
ejpam-5803	77	20	first	first	ADJ
ejpam-5803	77	21	-	-	PUNCT
ejpam-5803	77	22	order	order	NOUN
ejpam-5803	77	23	derivative	derivative	NOUN
ejpam-5803	77	24	.	.	PUNCT
ejpam-5803	78	1	conversely	conversely	ADV
ejpam-5803	78	2	,	,	PUNCT
ejpam-5803	78	3	as	as	SCONJ
ejpam-5803	78	4	ϵ	ϵ	PRON
ejpam-5803	78	5	decreases	decrease	NOUN
ejpam-5803	78	6	toward	toward	ADP
ejpam-5803	78	7	0	0	NUM
ejpam-5803	78	8	,	,	PUNCT
ejpam-5803	78	9	the	the	DET
ejpam-5803	78	10	memory	memory	NOUN
ejpam-5803	78	11	effect	effect	NOUN
ejpam-5803	78	12	strengthens	strengthen	VERB
ejpam-5803	78	13	,	,	PUNCT
ejpam-5803	78	14	causing	cause	VERB
ejpam-5803	78	15	the	the	DET
ejpam-5803	78	16	system	system	NOUN
ejpam-5803	78	17	to	to	PART
ejpam-5803	78	18	retain	retain	VERB
ejpam-5803	78	19	longer	long	ADJ
ejpam-5803	78	20	-	-	PUNCT
ejpam-5803	78	21	term	term	NOUN
ejpam-5803	78	22	historical	historical	ADJ
ejpam-5803	78	23	information	information	NOUN
ejpam-5803	78	24	.	.	PUNCT
ejpam-5803	79	1	physical	physical	ADJ
ejpam-5803	79	2	manifestations	manifestation	NOUN
ejpam-5803	79	3	of	of	ADP
ejpam-5803	79	4	memory	memory	NOUN
ejpam-5803	79	5	in	in	ADP
ejpam-5803	79	6	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	79	7	systems	system	NOUN
ejpam-5803	79	8	in	in	ADP
ejpam-5803	79	9	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	79	10	materials	material	NOUN
ejpam-5803	79	11	,	,	PUNCT
ejpam-5803	79	12	memory	memory	NOUN
ejpam-5803	79	13	effects	effect	NOUN
ejpam-5803	79	14	manifest	manifest	VERB
ejpam-5803	79	15	through	through	ADP
ejpam-5803	79	16	several	several	ADJ
ejpam-5803	79	17	observable	observable	ADJ
ejpam-5803	79	18	phenomena	phenomenon	NOUN
ejpam-5803	79	19	:	:	PUNCT
ejpam-5803	79	20	m.	m.	NOUN
ejpam-5803	79	21	m.	m.	NOUN
ejpam-5803	79	22	a.	a.	NOUN
ejpam-5803	79	23	khater	khater	PROPN
ejpam-5803	79	24	/	/	SYM
ejpam-5803	79	25	eur	eur	PROPN
ejpam-5803	79	26	.	.	PUNCT
ejpam-5803	80	1	j.	j.	PROPN
ejpam-5803	80	2	pure	pure	PROPN
ejpam-5803	80	3	appl	appl	PROPN
ejpam-5803	80	4	.	.	PROPN
ejpam-5803	80	5	math	math	PROPN
ejpam-5803	80	6	,	,	PUNCT
ejpam-5803	80	7	18	18	NUM
ejpam-5803	80	8	(	(	PUNCT
ejpam-5803	80	9	4	4	NUM
ejpam-5803	80	10	)	)	PUNCT
ejpam-5803	80	11	(	(	PUNCT
ejpam-5803	80	12	2025	2025	NUM
ejpam-5803	80	13	)	)	PUNCT
ejpam-5803	80	14	,	,	PUNCT
ejpam-5803	80	15	5803	5803	NUM
ejpam-5803	80	16	6	6	NUM
ejpam-5803	80	17	of	of	ADP
ejpam-5803	80	18	31	31	NUM
ejpam-5803	80	19	(	(	PUNCT
ejpam-5803	80	20	i	i	NOUN
ejpam-5803	80	21	)	)	PUNCT
ejpam-5803	80	22	hysteresis	hysteresis	NOUN
ejpam-5803	80	23	behavior	behavior	NOUN
ejpam-5803	80	24	:	:	PUNCT
ejpam-5803	80	25	the	the	DET
ejpam-5803	80	26	magnetization	magnetization	NOUN
ejpam-5803	80	27	of	of	ADP
ejpam-5803	80	28	the	the	DET
ejpam-5803	80	29	material	material	NOUN
ejpam-5803	80	30	depends	depend	VERB
ejpam-5803	80	31	not	not	PART
ejpam-5803	80	32	only	only	ADV
ejpam-5803	80	33	on	on	ADP
ejpam-5803	80	34	the	the	DET
ejpam-5803	80	35	current	current	ADJ
ejpam-5803	80	36	external	external	ADJ
ejpam-5803	80	37	field	field	NOUN
ejpam-5803	80	38	but	but	CCONJ
ejpam-5803	80	39	also	also	ADV
ejpam-5803	80	40	on	on	ADP
ejpam-5803	80	41	the	the	DET
ejpam-5803	80	42	history	history	NOUN
ejpam-5803	80	43	of	of	ADP
ejpam-5803	80	44	field	field	NOUN
ejpam-5803	80	45	applications	application	NOUN
ejpam-5803	80	46	.	.	PUNCT
ejpam-5803	81	1	this	this	DET
ejpam-5803	81	2	pathdependent	pathdependent	NOUN
ejpam-5803	81	3	behavior	behavior	NOUN
ejpam-5803	81	4	is	be	AUX
ejpam-5803	81	5	naturally	naturally	ADV
ejpam-5803	81	6	captured	capture	VERB
ejpam-5803	81	7	by	by	ADP
ejpam-5803	81	8	our	our	PRON
ejpam-5803	81	9	fractional	fractional	ADJ
ejpam-5803	81	10	model	model	NOUN
ejpam-5803	81	11	through	through	ADP
ejpam-5803	81	12	terms	term	NOUN
ejpam-5803	81	13	like	like	ADP
ejpam-5803	81	14	q	q	PROPN
ejpam-5803	81	15	dϵ	dϵ	PROPN
ejpam-5803	81	16	t	t	PROPN
ejpam-5803	81	17	|u|2	|u|2	PROPN
ejpam-5803	81	18	in	in	ADP
ejpam-5803	81	19	eq	eq	ADP
ejpam-5803	81	20	.	.	PUNCT
ejpam-5803	82	1	(	(	PUNCT
ejpam-5803	82	2	1	1	NUM
ejpam-5803	82	3	)	)	PUNCT
ejpam-5803	82	4	,	,	PUNCT
ejpam-5803	82	5	which	which	PRON
ejpam-5803	82	6	incorporate	incorporate	VERB
ejpam-5803	82	7	the	the	DET
ejpam-5803	82	8	historical	historical	ADJ
ejpam-5803	82	9	evolution	evolution	NOUN
ejpam-5803	82	10	of	of	ADP
ejpam-5803	82	11	magnetization	magnetization	NOUN
ejpam-5803	82	12	intensity	intensity	NOUN
ejpam-5803	82	13	.	.	PUNCT
ejpam-5803	83	1	(	(	PUNCT
ejpam-5803	83	2	ii	ii	NOUN
ejpam-5803	83	3	)	)	PUNCT
ejpam-5803	83	4	relaxation	relaxation	NOUN
ejpam-5803	83	5	dynamics	dynamic	NOUN
ejpam-5803	83	6	:	:	PUNCT
ejpam-5803	83	7	when	when	SCONJ
ejpam-5803	83	8	external	external	ADJ
ejpam-5803	83	9	fields	field	NOUN
ejpam-5803	83	10	are	be	AUX
ejpam-5803	83	11	removed	remove	VERB
ejpam-5803	83	12	,	,	PUNCT
ejpam-5803	83	13	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	83	14	systems	system	NOUN
ejpam-5803	83	15	do	do	AUX
ejpam-5803	83	16	not	not	PART
ejpam-5803	83	17	immediately	immediately	ADV
ejpam-5803	83	18	return	return	VERB
ejpam-5803	83	19	to	to	ADP
ejpam-5803	83	20	equilibrium	equilibrium	NOUN
ejpam-5803	83	21	but	but	CCONJ
ejpam-5803	83	22	instead	instead	ADV
ejpam-5803	83	23	follow	follow	VERB
ejpam-5803	83	24	complex	complex	ADJ
ejpam-5803	83	25	relaxation	relaxation	NOUN
ejpam-5803	83	26	patterns	pattern	NOUN
ejpam-5803	83	27	influenced	influence	VERB
ejpam-5803	83	28	by	by	ADP
ejpam-5803	83	29	their	their	PRON
ejpam-5803	83	30	magnetization	magnetization	NOUN
ejpam-5803	83	31	history	history	NOUN
ejpam-5803	83	32	.	.	PUNCT
ejpam-5803	84	1	the	the	DET
ejpam-5803	84	2	fractional	fractional	ADJ
ejpam-5803	84	3	time	time	NOUN
ejpam-5803	84	4	derivative	derivative	ADJ
ejpam-5803	84	5	terms	term	NOUN
ejpam-5803	84	6	in	in	ADP
ejpam-5803	84	7	our	our	PRON
ejpam-5803	84	8	model	model	NOUN
ejpam-5803	84	9	accurately	accurately	ADV
ejpam-5803	84	10	reproduce	reproduce	VERB
ejpam-5803	84	11	these	these	DET
ejpam-5803	84	12	non	non	ADJ
ejpam-5803	84	13	-	-	ADJ
ejpam-5803	84	14	exponential	exponential	ADJ
ejpam-5803	84	15	relaxation	relaxation	NOUN
ejpam-5803	84	16	processes	process	NOUN
ejpam-5803	84	17	.	.	PUNCT
ejpam-5803	85	1	(	(	PUNCT
ejpam-5803	85	2	iii	iii	NOUN
ejpam-5803	85	3	)	)	PUNCT
ejpam-5803	85	4	spin	spin	NOUN
ejpam-5803	85	5	-	-	PUNCT
ejpam-5803	85	6	wave	wave	NOUN
ejpam-5803	85	7	propagation	propagation	NOUN
ejpam-5803	85	8	:	:	PUNCT
ejpam-5803	85	9	the	the	DET
ejpam-5803	85	10	propagation	propagation	NOUN
ejpam-5803	85	11	of	of	ADP
ejpam-5803	85	12	spin	spin	NOUN
ejpam-5803	85	13	waves	wave	NOUN
ejpam-5803	85	14	in	in	ADP
ejpam-5803	85	15	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	85	16	media	medium	NOUN
ejpam-5803	85	17	exhibits	exhibit	VERB
ejpam-5803	85	18	dispersion	dispersion	NOUN
ejpam-5803	85	19	characteristics	characteristic	NOUN
ejpam-5803	85	20	that	that	PRON
ejpam-5803	85	21	depend	depend	VERB
ejpam-5803	85	22	on	on	ADP
ejpam-5803	85	23	the	the	DET
ejpam-5803	85	24	system	system	NOUN
ejpam-5803	85	25	’s	’s	PART
ejpam-5803	85	26	previous	previous	ADJ
ejpam-5803	85	27	states	state	NOUN
ejpam-5803	85	28	.	.	PUNCT
ejpam-5803	86	1	our	our	PRON
ejpam-5803	86	2	model	model	NOUN
ejpam-5803	86	3	captures	capture	VERB
ejpam-5803	86	4	this	this	PRON
ejpam-5803	86	5	through	through	ADP
ejpam-5803	86	6	the	the	DET
ejpam-5803	86	7	coupling	coupling	NOUN
ejpam-5803	86	8	of	of	ADP
ejpam-5803	86	9	fractional	fractional	ADJ
ejpam-5803	86	10	time	time	NOUN
ejpam-5803	86	11	derivatives	derivative	NOUN
ejpam-5803	86	12	with	with	ADP
ejpam-5803	86	13	spatial	spatial	ADJ
ejpam-5803	86	14	derivatives	derivative	NOUN
ejpam-5803	86	15	,	,	PUNCT
ejpam-5803	86	16	as	as	SCONJ
ejpam-5803	86	17	seen	see	VERB
ejpam-5803	86	18	in	in	ADP
ejpam-5803	86	19	the	the	DET
ejpam-5803	86	20	term	term	NOUN
ejpam-5803	86	21	q	q	PROPN
ejpam-5803	86	22	dϵ	dϵ	ADP
ejpam-5803	86	23	t	t	NOUN
ejpam-5803	86	24	∂u	∂u	PROPN
ejpam-5803	86	25	∂x	∂x	PROPN
ejpam-5803	86	26	in	in	ADP
ejpam-5803	86	27	eq	eq	ADP
ejpam-5803	86	28	.	.	PUNCT
ejpam-5803	87	1	(	(	PUNCT
ejpam-5803	87	2	1	1	NUM
ejpam-5803	87	3	)	)	PUNCT
ejpam-5803	87	4	.	.	PUNCT
ejpam-5803	88	1	numerical	numerical	ADJ
ejpam-5803	88	2	evidence	evidence	NOUN
ejpam-5803	88	3	of	of	ADP
ejpam-5803	88	4	memory	memory	NOUN
ejpam-5803	88	5	effects	effect	NOUN
ejpam-5803	88	6	to	to	PART
ejpam-5803	88	7	illustrate	illustrate	VERB
ejpam-5803	88	8	the	the	DET
ejpam-5803	88	9	impact	impact	NOUN
ejpam-5803	88	10	of	of	ADP
ejpam-5803	88	11	memory	memory	NOUN
ejpam-5803	88	12	effects	effect	NOUN
ejpam-5803	88	13	in	in	ADP
ejpam-5803	88	14	our	our	PRON
ejpam-5803	88	15	system	system	NOUN
ejpam-5803	88	16	,	,	PUNCT
ejpam-5803	88	17	we	we	PRON
ejpam-5803	88	18	conducted	conduct	VERB
ejpam-5803	88	19	numerical	numerical	ADJ
ejpam-5803	88	20	simulations	simulation	NOUN
ejpam-5803	88	21	with	with	ADP
ejpam-5803	88	22	varying	vary	VERB
ejpam-5803	88	23	fractional	fractional	ADJ
ejpam-5803	88	24	orders	order	NOUN
ejpam-5803	88	25	ϵ.	ϵ.	NOUN
ejpam-5803	88	26	for	for	ADP
ejpam-5803	88	27	smaller	small	ADJ
ejpam-5803	88	28	values	value	NOUN
ejpam-5803	88	29	of	of	ADP
ejpam-5803	88	30	ϵ	ϵ	X
ejpam-5803	88	31	(	(	PUNCT
ejpam-5803	88	32	stronger	strong	ADJ
ejpam-5803	88	33	memory	memory	NOUN
ejpam-5803	88	34	)	)	PUNCT
ejpam-5803	88	35	,	,	PUNCT
ejpam-5803	88	36	the	the	DET
ejpam-5803	88	37	system	system	NOUN
ejpam-5803	88	38	exhibits	exhibit	VERB
ejpam-5803	88	39	:	:	PUNCT
ejpam-5803	88	40	•	•	NUM
ejpam-5803	88	41	slower	slow	ADJ
ejpam-5803	88	42	relaxation	relaxation	NOUN
ejpam-5803	88	43	to	to	ADP
ejpam-5803	88	44	equilibrium	equilibrium	NOUN
ejpam-5803	88	45	•	•	ADV
ejpam-5803	88	46	more	more	ADV
ejpam-5803	88	47	pronounced	pronounce	VERB
ejpam-5803	88	48	hysteresis	hysteresis	NOUN
ejpam-5803	88	49	loops	loop	NOUN
ejpam-5803	88	50	•	•	ADV
ejpam-5803	88	51	enhanced	enhanced	ADJ
ejpam-5803	88	52	stability	stability	NOUN
ejpam-5803	88	53	against	against	ADP
ejpam-5803	88	54	small	small	ADJ
ejpam-5803	88	55	perturbations	perturbation	NOUN
ejpam-5803	88	56	•	•	ADP
ejpam-5803	88	57	increased	increase	VERB
ejpam-5803	88	58	persistence	persistence	NOUN
ejpam-5803	88	59	of	of	ADP
ejpam-5803	88	60	transient	transient	ADJ
ejpam-5803	88	61	patterns	pattern	NOUN
ejpam-5803	88	62	these	these	DET
ejpam-5803	88	63	characteristics	characteristic	NOUN
ejpam-5803	88	64	are	be	AUX
ejpam-5803	88	65	particularly	particularly	ADV
ejpam-5803	88	66	evident	evident	ADJ
ejpam-5803	88	67	in	in	ADP
ejpam-5803	88	68	the	the	DET
ejpam-5803	88	69	evolution	evolution	NOUN
ejpam-5803	88	70	of	of	ADP
ejpam-5803	88	71	the	the	DET
ejpam-5803	88	72	transverse	transverse	NOUN
ejpam-5803	88	73	magnetization	magnetization	NOUN
ejpam-5803	88	74	component	component	NOUN
ejpam-5803	88	75	u(x	u(x	NOUN
ejpam-5803	88	76	,	,	PUNCT
ejpam-5803	88	77	t	t	PROPN
ejpam-5803	88	78	)	)	PUNCT
ejpam-5803	88	79	,	,	PUNCT
ejpam-5803	88	80	where	where	SCONJ
ejpam-5803	88	81	the	the	DET
ejpam-5803	88	82	fractional	fractional	ADJ
ejpam-5803	88	83	order	order	NOUN
ejpam-5803	88	84	ϵ	ϵ	X
ejpam-5803	88	85	directly	directly	ADV
ejpam-5803	88	86	modulates	modulate	VERB
ejpam-5803	88	87	the	the	DET
ejpam-5803	88	88	temporal	temporal	ADJ
ejpam-5803	88	89	correlation	correlation	NOUN
ejpam-5803	88	90	length	length	NOUN
ejpam-5803	88	91	of	of	ADP
ejpam-5803	88	92	the	the	DET
ejpam-5803	88	93	system	system	NOUN
ejpam-5803	88	94	.	.	PUNCT
ejpam-5803	89	1	relationship	relationship	NOUN
ejpam-5803	89	2	between	between	ADP
ejpam-5803	89	3	memory	memory	NOUN
ejpam-5803	89	4	effects	effect	NOUN
ejpam-5803	89	5	and	and	CCONJ
ejpam-5803	89	6	long	long	ADJ
ejpam-5803	89	7	-	-	PUNCT
ejpam-5803	89	8	range	range	NOUN
ejpam-5803	89	9	interactions	interaction	NOUN
ejpam-5803	89	10	the	the	DET
ejpam-5803	89	11	memory	memory	NOUN
ejpam-5803	89	12	effect	effect	NOUN
ejpam-5803	89	13	in	in	ADP
ejpam-5803	89	14	our	our	PRON
ejpam-5803	89	15	fractional	fractional	ADJ
ejpam-5803	89	16	model	model	NOUN
ejpam-5803	89	17	is	be	AUX
ejpam-5803	89	18	intrinsically	intrinsically	ADV
ejpam-5803	89	19	connected	connect	VERB
ejpam-5803	89	20	to	to	ADP
ejpam-5803	89	21	long	long	ADJ
ejpam-5803	89	22	-	-	PUNCT
ejpam-5803	89	23	range	range	NOUN
ejpam-5803	89	24	interactions	interaction	NOUN
ejpam-5803	89	25	within	within	ADP
ejpam-5803	89	26	the	the	DET
ejpam-5803	89	27	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	89	28	medium	medium	NOUN
ejpam-5803	89	29	.	.	PUNCT
ejpam-5803	90	1	conventional	conventional	ADJ
ejpam-5803	90	2	models	model	NOUN
ejpam-5803	90	3	based	base	VERB
ejpam-5803	90	4	on	on	ADP
ejpam-5803	90	5	integer	integer	NOUN
ejpam-5803	90	6	-	-	PUNCT
ejpam-5803	90	7	order	order	NOUN
ejpam-5803	90	8	derivatives	derivative	NOUN
ejpam-5803	90	9	implicitly	implicitly	ADV
ejpam-5803	90	10	assume	assume	VERB
ejpam-5803	90	11	that	that	SCONJ
ejpam-5803	90	12	magnetic	magnetic	ADJ
ejpam-5803	90	13	interactions	interaction	NOUN
ejpam-5803	90	14	are	be	AUX
ejpam-5803	90	15	predominantly	predominantly	ADV
ejpam-5803	90	16	local	local	ADJ
ejpam-5803	90	17	,	,	PUNCT
ejpam-5803	90	18	with	with	SCONJ
ejpam-5803	90	19	each	each	DET
ejpam-5803	90	20	spin	spin	NOUN
ejpam-5803	90	21	primarily	primarily	ADV
ejpam-5803	90	22	influenced	influence	VERB
ejpam-5803	90	23	by	by	ADP
ejpam-5803	90	24	its	its	PRON
ejpam-5803	90	25	immediate	immediate	ADJ
ejpam-5803	90	26	neighbors	neighbor	NOUN
ejpam-5803	90	27	.	.	PUNCT
ejpam-5803	91	1	in	in	ADP
ejpam-5803	91	2	contrast	contrast	NOUN
ejpam-5803	91	3	,	,	PUNCT
ejpam-5803	91	4	our	our	PRON
ejpam-5803	91	5	fractional	fractional	ADJ
ejpam-5803	91	6	approach	approach	NOUN
ejpam-5803	91	7	acknowledges	acknowledge	VERB
ejpam-5803	91	8	that	that	SCONJ
ejpam-5803	91	9	in	in	ADP
ejpam-5803	91	10	real	real	ADJ
ejpam-5803	91	11	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	91	12	systems	system	NOUN
ejpam-5803	91	13	,	,	PUNCT
ejpam-5803	91	14	each	each	DET
ejpam-5803	91	15	spin	spin	NOUN
ejpam-5803	91	16	interacts	interact	VERB
ejpam-5803	91	17	with	with	ADP
ejpam-5803	91	18	distant	distant	ADJ
ejpam-5803	91	19	spins	spin	NOUN
ejpam-5803	91	20	through	through	ADP
ejpam-5803	91	21	various	various	ADJ
ejpam-5803	91	22	mechanisms	mechanism	NOUN
ejpam-5803	91	23	,	,	PUNCT
ejpam-5803	91	24	including	include	VERB
ejpam-5803	91	25	dipole	dipole	NOUN
ejpam-5803	91	26	-	-	PUNCT
ejpam-5803	91	27	dipole	dipole	NOUN
ejpam-5803	91	28	interactions	interaction	NOUN
ejpam-5803	91	29	and	and	CCONJ
ejpam-5803	91	30	exchange	exchange	NOUN
ejpam-5803	91	31	coupling	coupling	NOUN
ejpam-5803	91	32	mediated	mediate	VERB
ejpam-5803	91	33	by	by	ADP
ejpam-5803	91	34	conduction	conduction	NOUN
ejpam-5803	91	35	electrons	electron	NOUN
ejpam-5803	91	36	.	.	PUNCT
ejpam-5803	92	1	the	the	DET
ejpam-5803	92	2	truncated	truncated	ADJ
ejpam-5803	92	3	β	β	NOUN
ejpam-5803	92	4	-	-	ADJ
ejpam-5803	92	5	fractional	fractional	ADJ
ejpam-5803	92	6	derivative	derivative	NOUN
ejpam-5803	92	7	effectively	effectively	ADV
ejpam-5803	92	8	captures	capture	VERB
ejpam-5803	92	9	these	these	DET
ejpam-5803	92	10	long	long	ADJ
ejpam-5803	92	11	-	-	PUNCT
ejpam-5803	92	12	range	range	NOUN
ejpam-5803	92	13	interactions	interaction	NOUN
ejpam-5803	92	14	by	by	ADP
ejpam-5803	92	15	introducing	introduce	VERB
ejpam-5803	92	16	a	a	DET
ejpam-5803	92	17	power	power	NOUN
ejpam-5803	92	18	-	-	PUNCT
ejpam-5803	92	19	law	law	NOUN
ejpam-5803	92	20	weighting	weighting	NOUN
ejpam-5803	92	21	of	of	ADP
ejpam-5803	92	22	temporal	temporal	ADJ
ejpam-5803	92	23	correlations	correlation	NOUN
ejpam-5803	92	24	.	.	PUNCT
ejpam-5803	93	1	this	this	DET
ejpam-5803	93	2	mathematical	mathematical	ADJ
ejpam-5803	93	3	formulation	formulation	NOUN
ejpam-5803	93	4	aligns	align	VERB
ejpam-5803	93	5	with	with	ADP
ejpam-5803	93	6	experimental	experimental	ADJ
ejpam-5803	93	7	observations	observation	NOUN
ejpam-5803	93	8	of	of	ADP
ejpam-5803	93	9	non	non	ADJ
ejpam-5803	93	10	-	-	ADJ
ejpam-5803	93	11	markovian	markovian	ADJ
ejpam-5803	93	12	dynamics	dynamic	NOUN
ejpam-5803	93	13	in	in	ADP
ejpam-5803	93	14	complex	complex	ADJ
ejpam-5803	93	15	m.	m.	NOUN
ejpam-5803	93	16	m.	m.	NOUN
ejpam-5803	93	17	a.	a.	NOUN
ejpam-5803	93	18	khater	khater	PROPN
ejpam-5803	93	19	/	/	SYM
ejpam-5803	93	20	eur	eur	PROPN
ejpam-5803	93	21	.	.	PUNCT
ejpam-5803	94	1	j.	j.	PROPN
ejpam-5803	94	2	pure	pure	PROPN
ejpam-5803	94	3	appl	appl	PROPN
ejpam-5803	94	4	.	.	PROPN
ejpam-5803	94	5	math	math	PROPN
ejpam-5803	94	6	,	,	PUNCT
ejpam-5803	94	7	18	18	NUM
ejpam-5803	94	8	(	(	PUNCT
ejpam-5803	94	9	4	4	NUM
ejpam-5803	94	10	)	)	PUNCT
ejpam-5803	94	11	(	(	PUNCT
ejpam-5803	94	12	2025	2025	NUM
ejpam-5803	94	13	)	)	PUNCT
ejpam-5803	94	14	,	,	PUNCT
ejpam-5803	94	15	5803	5803	NUM
ejpam-5803	94	16	7	7	NUM
ejpam-5803	94	17	of	of	ADP
ejpam-5803	94	18	31	31	NUM
ejpam-5803	94	19	magnetic	magnetic	ADJ
ejpam-5803	94	20	systems	system	NOUN
ejpam-5803	94	21	,	,	PUNCT
ejpam-5803	94	22	where	where	SCONJ
ejpam-5803	94	23	the	the	DET
ejpam-5803	94	24	future	future	ADJ
ejpam-5803	94	25	evolution	evolution	NOUN
ejpam-5803	94	26	depends	depend	VERB
ejpam-5803	94	27	on	on	ADP
ejpam-5803	94	28	the	the	DET
ejpam-5803	94	29	entire	entire	ADJ
ejpam-5803	94	30	history	history	NOUN
ejpam-5803	94	31	rather	rather	ADV
ejpam-5803	94	32	than	than	ADP
ejpam-5803	94	33	just	just	ADV
ejpam-5803	94	34	the	the	DET
ejpam-5803	94	35	current	current	ADJ
ejpam-5803	94	36	state	state	NOUN
ejpam-5803	94	37	.	.	PUNCT
ejpam-5803	95	1	implications	implication	NOUN
ejpam-5803	95	2	for	for	ADP
ejpam-5803	95	3	phase	phase	NOUN
ejpam-5803	95	4	transitions	transition	NOUN
ejpam-5803	95	5	and	and	CCONJ
ejpam-5803	95	6	critical	critical	ADJ
ejpam-5803	95	7	phenomena	phenomena	NOUN
ejpam-5803	95	8	memory	memory	NOUN
ejpam-5803	95	9	effects	effect	NOUN
ejpam-5803	95	10	significantly	significantly	ADV
ejpam-5803	95	11	influence	influence	VERB
ejpam-5803	95	12	phase	phase	NOUN
ejpam-5803	95	13	transitions	transition	NOUN
ejpam-5803	95	14	in	in	ADP
ejpam-5803	95	15	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	95	16	systems	system	NOUN
ejpam-5803	95	17	.	.	PUNCT
ejpam-5803	96	1	near	near	ADP
ejpam-5803	96	2	critical	critical	ADJ
ejpam-5803	96	3	points	point	NOUN
ejpam-5803	96	4	,	,	PUNCT
ejpam-5803	96	5	conventional	conventional	ADJ
ejpam-5803	96	6	models	model	NOUN
ejpam-5803	96	7	often	often	ADV
ejpam-5803	96	8	predict	predict	VERB
ejpam-5803	96	9	scaling	scaling	NOUN
ejpam-5803	96	10	behaviors	behavior	NOUN
ejpam-5803	96	11	that	that	PRON
ejpam-5803	96	12	deviate	deviate	VERB
ejpam-5803	96	13	from	from	ADP
ejpam-5803	96	14	experimental	experimental	ADJ
ejpam-5803	96	15	observations	observation	NOUN
ejpam-5803	96	16	.	.	PUNCT
ejpam-5803	97	1	our	our	PRON
ejpam-5803	97	2	fractional	fractional	ADJ
ejpam-5803	97	3	approach	approach	NOUN
ejpam-5803	97	4	addresses	address	NOUN
ejpam-5803	97	5	this	this	DET
ejpam-5803	97	6	limitation	limitation	NOUN
ejpam-5803	97	7	by	by	ADP
ejpam-5803	97	8	incorporating	incorporate	VERB
ejpam-5803	97	9	memory	memory	NOUN
ejpam-5803	97	10	effects	effect	NOUN
ejpam-5803	97	11	that	that	PRON
ejpam-5803	97	12	modify	modify	VERB
ejpam-5803	97	13	the	the	DET
ejpam-5803	97	14	critical	critical	ADJ
ejpam-5803	97	15	exponents	exponent	NOUN
ejpam-5803	97	16	and	and	CCONJ
ejpam-5803	97	17	scaling	scale	VERB
ejpam-5803	97	18	relations	relation	NOUN
ejpam-5803	97	19	.	.	PUNCT
ejpam-5803	98	1	the	the	DET
ejpam-5803	98	2	presence	presence	NOUN
ejpam-5803	98	3	of	of	ADP
ejpam-5803	98	4	memory	memory	NOUN
ejpam-5803	98	5	in	in	ADP
ejpam-5803	98	6	our	our	PRON
ejpam-5803	98	7	model	model	NOUN
ejpam-5803	98	8	leads	lead	VERB
ejpam-5803	98	9	to	to	ADP
ejpam-5803	98	10	:	:	PUNCT
ejpam-5803	98	11	•	•	NUM
ejpam-5803	98	12	modified	modify	VERB
ejpam-5803	98	13	critical	critical	ADJ
ejpam-5803	98	14	temperatures	temperature	NOUN
ejpam-5803	98	15	that	that	PRON
ejpam-5803	98	16	depend	depend	VERB
ejpam-5803	98	17	on	on	ADP
ejpam-5803	98	18	the	the	DET
ejpam-5803	98	19	system	system	NOUN
ejpam-5803	98	20	’s	’s	PART
ejpam-5803	98	21	history	history	NOUN
ejpam-5803	98	22	•	•	ADP
ejpam-5803	98	23	anomalous	anomalous	ADJ
ejpam-5803	98	24	scaling	scaling	NOUN
ejpam-5803	98	25	of	of	ADP
ejpam-5803	98	26	correlation	correlation	NOUN
ejpam-5803	98	27	functions	function	NOUN
ejpam-5803	98	28	near	near	ADP
ejpam-5803	98	29	phase	phase	NOUN
ejpam-5803	98	30	transitions	transition	NOUN
ejpam-5803	98	31	•	•	NOUN
ejpam-5803	98	32	history	history	NOUN
ejpam-5803	98	33	-	-	PUNCT
ejpam-5803	98	34	dependent	dependent	ADJ
ejpam-5803	98	35	nucleation	nucleation	NOUN
ejpam-5803	98	36	and	and	CCONJ
ejpam-5803	98	37	growth	growth	NOUN
ejpam-5803	98	38	of	of	ADP
ejpam-5803	98	39	magnetic	magnetic	ADJ
ejpam-5803	98	40	domains	domain	NOUN
ejpam-5803	98	41	•	•	PRON
ejpam-5803	98	42	non	non	ADJ
ejpam-5803	98	43	-	-	ADJ
ejpam-5803	98	44	universal	universal	ADJ
ejpam-5803	98	45	critical	critical	ADJ
ejpam-5803	98	46	behavior	behavior	NOUN
ejpam-5803	98	47	that	that	PRON
ejpam-5803	98	48	varies	vary	VERB
ejpam-5803	98	49	with	with	ADP
ejpam-5803	98	50	the	the	DET
ejpam-5803	98	51	fractional	fractional	ADJ
ejpam-5803	98	52	order	order	NOUN
ejpam-5803	98	53	ϵ	ϵ	ADP
ejpam-5803	98	54	these	these	DET
ejpam-5803	98	55	features	feature	NOUN
ejpam-5803	98	56	make	make	VERB
ejpam-5803	98	57	our	our	PRON
ejpam-5803	98	58	fchfa	fchfa	ADJ
ejpam-5803	98	59	model	model	NOUN
ejpam-5803	98	60	particularly	particularly	ADV
ejpam-5803	98	61	valuable	valuable	ADJ
ejpam-5803	98	62	for	for	ADP
ejpam-5803	98	63	studying	study	VERB
ejpam-5803	98	64	complex	complex	ADJ
ejpam-5803	98	65	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	98	66	systems	system	NOUN
ejpam-5803	98	67	where	where	SCONJ
ejpam-5803	98	68	conventional	conventional	ADJ
ejpam-5803	98	69	approaches	approach	NOUN
ejpam-5803	98	70	fail	fail	VERB
ejpam-5803	98	71	to	to	PART
ejpam-5803	98	72	capture	capture	VERB
ejpam-5803	98	73	the	the	DET
ejpam-5803	98	74	full	full	ADJ
ejpam-5803	98	75	richness	richness	NOUN
ejpam-5803	98	76	of	of	ADP
ejpam-5803	98	77	observed	observed	ADJ
ejpam-5803	98	78	behaviors	behavior	NOUN
ejpam-5803	98	79	.	.	PUNCT
ejpam-5803	99	1	in	in	ADP
ejpam-5803	99	2	summary	summary	NOUN
ejpam-5803	99	3	,	,	PUNCT
ejpam-5803	99	4	the	the	DET
ejpam-5803	99	5	memory	memory	NOUN
ejpam-5803	99	6	effect	effect	NOUN
ejpam-5803	99	7	,	,	PUNCT
ejpam-5803	99	8	mathematically	mathematically	ADV
ejpam-5803	99	9	encoded	encode	VERB
ejpam-5803	99	10	through	through	ADP
ejpam-5803	99	11	the	the	DET
ejpam-5803	99	12	truncated	truncated	ADJ
ejpam-5803	99	13	βfractional	βfractional	ADJ
ejpam-5803	99	14	derivative	derivative	NOUN
ejpam-5803	99	15	,	,	PUNCT
ejpam-5803	99	16	represents	represent	VERB
ejpam-5803	99	17	a	a	DET
ejpam-5803	99	18	fundamental	fundamental	ADJ
ejpam-5803	99	19	aspect	aspect	NOUN
ejpam-5803	99	20	of	of	ADP
ejpam-5803	99	21	our	our	PRON
ejpam-5803	99	22	fchfa	fchfa	ADJ
ejpam-5803	99	23	model	model	NOUN
ejpam-5803	99	24	that	that	PRON
ejpam-5803	99	25	enables	enable	VERB
ejpam-5803	99	26	more	more	ADV
ejpam-5803	99	27	accurate	accurate	ADJ
ejpam-5803	99	28	representation	representation	NOUN
ejpam-5803	99	29	of	of	ADP
ejpam-5803	99	30	complex	complex	ADJ
ejpam-5803	99	31	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	99	32	phenomena	phenomenon	NOUN
ejpam-5803	99	33	.	.	PUNCT
ejpam-5803	100	1	by	by	ADP
ejpam-5803	100	2	explicitly	explicitly	ADV
ejpam-5803	100	3	accounting	account	VERB
ejpam-5803	100	4	for	for	ADP
ejpam-5803	100	5	the	the	DET
ejpam-5803	100	6	system	system	NOUN
ejpam-5803	100	7	’s	’s	PART
ejpam-5803	100	8	history	history	NOUN
ejpam-5803	100	9	dependence	dependence	NOUN
ejpam-5803	100	10	,	,	PUNCT
ejpam-5803	100	11	our	our	PRON
ejpam-5803	100	12	approach	approach	NOUN
ejpam-5803	100	13	provides	provide	VERB
ejpam-5803	100	14	deeper	deep	ADJ
ejpam-5803	100	15	insights	insight	NOUN
ejpam-5803	100	16	into	into	ADP
ejpam-5803	100	17	magnetization	magnetization	NOUN
ejpam-5803	100	18	dynamics	dynamic	NOUN
ejpam-5803	100	19	,	,	PUNCT
ejpam-5803	100	20	phase	phase	NOUN
ejpam-5803	100	21	transitions	transition	NOUN
ejpam-5803	100	22	,	,	PUNCT
ejpam-5803	100	23	and	and	CCONJ
ejpam-5803	100	24	non	non	ADJ
ejpam-5803	100	25	-	-	ADJ
ejpam-5803	100	26	local	local	ADJ
ejpam-5803	100	27	interactions	interaction	NOUN
ejpam-5803	100	28	that	that	PRON
ejpam-5803	100	29	are	be	AUX
ejpam-5803	100	30	essential	essential	ADJ
ejpam-5803	100	31	for	for	ADP
ejpam-5803	100	32	understanding	understand	VERB
ejpam-5803	100	33	real	real	ADJ
ejpam-5803	100	34	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	100	35	materials	material	NOUN
ejpam-5803	100	36	.	.	PUNCT
ejpam-5803	101	1	in	in	ADP
ejpam-5803	101	2	this	this	DET
ejpam-5803	101	3	context	context	NOUN
ejpam-5803	101	4	,	,	PUNCT
ejpam-5803	101	5	we	we	PRON
ejpam-5803	101	6	implement	implement	VERB
ejpam-5803	101	7	the	the	DET
ejpam-5803	101	8	next	next	ADJ
ejpam-5803	101	9	wave	wave	NOUN
ejpam-5803	101	10	transformation	transformation	NOUN
ejpam-5803	101	11	u	u	NOUN
ejpam-5803	101	12	=	=	PROPN
ejpam-5803	101	13	ψ(ξ	ψ(ξ	PROPN
ejpam-5803	101	14	)	)	PUNCT
ejpam-5803	102	1	ei	ei	PROPN
ejpam-5803	102	2	(	(	PUNCT
ejpam-5803	102	3	κγ(ς+1	κγ(ς+1	NOUN
ejpam-5803	102	4	)	)	PUNCT
ejpam-5803	102	5	tε	tε	ADP
ejpam-5803	102	6	ε	ε	PROPN
ejpam-5803	102	7	+	+	NOUN
ejpam-5803	102	8	x	x	NOUN
ejpam-5803	102	9	)	)	PUNCT
ejpam-5803	102	10	,	,	PUNCT
ejpam-5803	102	11	v	v	X
ejpam-5803	102	12	=	=	SYM
ejpam-5803	102	13	ψ(ξ	ψ(ξ	PROPN
ejpam-5803	102	14	)	)	PUNCT
ejpam-5803	102	15	,	,	PUNCT
ejpam-5803	102	16	ξ	ξ	X
ejpam-5803	102	17	=	=	SYM
ejpam-5803	102	18	λγ(ς+1	λγ(ς+1	PROPN
ejpam-5803	102	19	)	)	PUNCT
ejpam-5803	102	20	tε	tε	NOUN
ejpam-5803	102	21	ε	ε	PROPN
ejpam-5803	103	1	+	+	NOUN
ejpam-5803	103	2	x	x	VERB
ejpam-5803	103	3	along	along	ADP
ejpam-5803	103	4	with	with	ADP
ejpam-5803	103	5	the	the	DET
ejpam-5803	103	6	truncated	truncated	ADJ
ejpam-5803	103	7	β	β	NOUN
ejpam-5803	103	8	–	–	PUNCT
ejpam-5803	103	9	fractional	fractional	ADJ
ejpam-5803	103	10	derivative	derivative	NOUN
ejpam-5803	103	11	(	(	PUNCT
ejpam-5803	103	12	for	for	ADP
ejpam-5803	103	13	further	further	ADJ
ejpam-5803	103	14	information	information	NOUN
ejpam-5803	103	15	;	;	PUNCT
ejpam-5803	103	16	see	see	VERB
ejpam-5803	103	17	appendix	appendix	NOUN
ejpam-5803	103	18	6	6	NUM
ejpam-5803	103	19	)	)	PUNCT
ejpam-5803	103	20	on	on	ADP
ejpam-5803	103	21	eq	eq	ADP
ejpam-5803	103	22	.	.	PUNCT
ejpam-5803	104	1	(	(	PUNCT
ejpam-5803	104	2	1	1	NUM
ejpam-5803	104	3	)	)	PUNCT
ejpam-5803	104	4	,	,	PUNCT
ejpam-5803	104	5	where	where	SCONJ
ejpam-5803	104	6	λ	λ	NOUN
ejpam-5803	104	7	,	,	PUNCT
ejpam-5803	104	8	κ	κ	PROPN
ejpam-5803	104	9	are	be	AUX
ejpam-5803	104	10	arbitrary	arbitrary	ADJ
ejpam-5803	104	11	constants	constant	NOUN
ejpam-5803	104	12	to	to	PART
ejpam-5803	104	13	be	be	AUX
ejpam-5803	104	14	determined	determine	VERB
ejpam-5803	104	15	later	later	ADV
ejpam-5803	104	16	,	,	PUNCT
ejpam-5803	104	17	leads	lead	VERB
ejpam-5803	104	18	to	to	NOUN
ejpam-5803	104	19	ei	ei	PROPN
ejpam-5803	104	20	(	(	PUNCT
ejpam-5803	104	21	κγ(ς+1	κγ(ς+1	NOUN
ejpam-5803	104	22	)	)	PUNCT
ejpam-5803	104	23	tε	tε	ADP
ejpam-5803	104	24	ε	ε	PROPN
ejpam-5803	105	1	+	+	NOUN
ejpam-5803	105	2	x	x	X
ejpam-5803	105	3	)	)	PUNCT
ejpam-5803	105	4	(	(	PUNCT
ejpam-5803	105	5	−(ψ	−(ψ	NOUN
ejpam-5803	105	6	(	(	PUNCT
ejpam-5803	105	7	−h	−h	INTJ
ejpam-5803	105	8	φ+	φ+	ADJ
ejpam-5803	105	9	κ+	κ+	PROPN
ejpam-5803	105	10	p	p	PROPN
ejpam-5803	106	1	+	+	PROPN
ejpam-5803	106	2	κ	κ	X
ejpam-5803	106	3	q	q	NOUN
ejpam-5803	106	4	)	)	PUNCT
ejpam-5803	106	5	)	)	PUNCT
ejpam-5803	107	1	+	+	CCONJ
ejpam-5803	107	2	i	i	PRON
ejpam-5803	107	3	ψ′(λ+	ψ′(λ+	VERB
ejpam-5803	107	4	2	2	NUM
ejpam-5803	107	5	p	p	NOUN
ejpam-5803	107	6	+	+	NOUN
ejpam-5803	107	7	q	q	X
ejpam-5803	107	8	(	(	PUNCT
ejpam-5803	107	9	κ+	κ+	NOUN
ejpam-5803	107	10	λ	λ	PROPN
ejpam-5803	107	11	)	)	PUNCT
ejpam-5803	107	12	)	)	PUNCT
ejpam-5803	108	1	+	+	CCONJ
ejpam-5803	108	2	ψ′′	ψ′′	NOUN
ejpam-5803	108	3	(	(	PUNCT
ejpam-5803	108	4	p	p	NOUN
ejpam-5803	108	5	+	+	X
ejpam-5803	108	6	λ	λ	X
ejpam-5803	108	7	q	q	NOUN
ejpam-5803	108	8	)	)	PUNCT
ejpam-5803	108	9	)	)	PUNCT
ejpam-5803	109	1	=	=	SYM
ejpam-5803	109	2	0	0	NUM
ejpam-5803	109	3	,	,	PUNCT
ejpam-5803	109	4	φ′	φ′	NUM
ejpam-5803	109	5	−	−	ADP
ejpam-5803	109	6	4	4	NUM
ejpam-5803	109	7	ℓ	ℓ	NOUN
ejpam-5803	109	8	ψ	ψ	NOUN
ejpam-5803	109	9	ψ′(p	ψ′(p	NOUN
ejpam-5803	110	1	+	+	NUM
ejpam-5803	110	2	λ	λ	X
ejpam-5803	110	3	q	q	NOUN
ejpam-5803	110	4	)	)	PUNCT
ejpam-5803	110	5	=	=	SYM
ejpam-5803	110	6	0	0	X
ejpam-5803	110	7	.	.	PUNCT
ejpam-5803	111	1	(	(	PUNCT
ejpam-5803	111	2	3	3	X
ejpam-5803	111	3	)	)	PUNCT
ejpam-5803	111	4	separating	separate	VERB
ejpam-5803	111	5	the	the	DET
ejpam-5803	111	6	real	real	ADJ
ejpam-5803	111	7	and	and	CCONJ
ejpam-5803	111	8	imaginary	imaginary	ADJ
ejpam-5803	111	9	parts	part	NOUN
ejpam-5803	111	10	in	in	ADP
ejpam-5803	111	11	the	the	DET
ejpam-5803	111	12	first	first	ADJ
ejpam-5803	111	13	equation	equation	NOUN
ejpam-5803	111	14	of	of	ADP
ejpam-5803	111	15	eq	eq	PROPN
ejpam-5803	111	16	.	.	PUNCT
ejpam-5803	112	1	(	(	PUNCT
ejpam-5803	112	2	3	3	NUM
ejpam-5803	112	3	)	)	PUNCT
ejpam-5803	112	4	,	,	PUNCT
ejpam-5803	112	5	yields	yields	NUM
ejpam-5803	112	6	re	re	NOUN
ejpam-5803	112	7	.	.	PUNCT
ejpam-5803	113	1	ψ′′(p	ψ′′(p	NOUN
ejpam-5803	113	2	+	+	CCONJ
ejpam-5803	114	1	λq)−	λq)−	NUM
ejpam-5803	114	2	ψ(−hφ+	ψ(−hφ+	PROPN
ejpam-5803	114	3	κ+	κ+	X
ejpam-5803	114	4	p	p	PROPN
ejpam-5803	114	5	+	+	PROPN
ejpam-5803	114	6	κq	κq	NOUN
ejpam-5803	114	7	)	)	PUNCT
ejpam-5803	114	8	=	=	SYM
ejpam-5803	114	9	0	0	NUM
ejpam-5803	114	10	,	,	PUNCT
ejpam-5803	114	11	i	i	PRON
ejpam-5803	114	12	m.	m.	NOUN
ejpam-5803	114	13	ψ′(λ+	ψ′(λ+	VERB
ejpam-5803	114	14	2p	2p	NUM
ejpam-5803	114	15	+	+	CCONJ
ejpam-5803	114	16	q(κ+	q(κ+	NOUN
ejpam-5803	114	17	λ	λ	NOUN
ejpam-5803	114	18	)	)	PUNCT
ejpam-5803	114	19	)	)	PUNCT
ejpam-5803	115	1	=	=	PUNCT
ejpam-5803	115	2	0	0	X
ejpam-5803	115	3	.	.	PUNCT
ejpam-5803	115	4	(	(	PUNCT
ejpam-5803	115	5	4	4	NUM
ejpam-5803	115	6	)	)	PUNCT
ejpam-5803	115	7	by	by	ADP
ejpam-5803	115	8	taking	take	VERB
ejpam-5803	115	9	φ	φ	PROPN
ejpam-5803	115	10	=	=	SYM
ejpam-5803	115	11	2ψ2ℓ(p	2ψ2ℓ(p	NUM
ejpam-5803	115	12	+	+	CCONJ
ejpam-5803	115	13	λq	λq	ADJ
ejpam-5803	115	14	)	)	PUNCT
ejpam-5803	115	15	and	and	CCONJ
ejpam-5803	115	16	λ	λ	X
ejpam-5803	115	17	=	=	SYM
ejpam-5803	115	18	−2p	−2p	PROPN
ejpam-5803	115	19	−	−	PROPN
ejpam-5803	115	20	q(κ	q(κ	PROPN
ejpam-5803	115	21	+	+	PROPN
ejpam-5803	115	22	λ	λ	NOUN
ejpam-5803	115	23	)	)	PUNCT
ejpam-5803	115	24	,	,	PUNCT
ejpam-5803	115	25	eq	eq	NOUN
ejpam-5803	115	26	.	.	PUNCT
ejpam-5803	115	27	(	(	PUNCT
ejpam-5803	115	28	3	3	X
ejpam-5803	115	29	)	)	PUNCT
ejpam-5803	115	30	converts	convert	NOUN
ejpam-5803	115	31	into	into	ADP
ejpam-5803	115	32	the	the	DET
ejpam-5803	115	33	next	next	ADJ
ejpam-5803	115	34	ordinary	ordinary	ADJ
ejpam-5803	115	35	differential	differential	ADJ
ejpam-5803	115	36	equation	equation	NOUN
ejpam-5803	115	37	ζ1ψ	ζ1ψ	PROPN
ejpam-5803	115	38	3	3	NUM
ejpam-5803	115	39	+	+	CCONJ
ejpam-5803	115	40	ζ2ψ	ζ2ψ	PUNCT
ejpam-5803	115	41	′′	′′	PROPN
ejpam-5803	115	42	+	+	CCONJ
ejpam-5803	115	43	ψ	ψ	X
ejpam-5803	115	44	=	=	SYM
ejpam-5803	115	45	0	0	NUM
ejpam-5803	115	46	,	,	PUNCT
ejpam-5803	115	47	(	(	PUNCT
ejpam-5803	115	48	5	5	X
ejpam-5803	115	49	)	)	PUNCT
ejpam-5803	115	50	m.	m.	NOUN
ejpam-5803	115	51	m.	m.	NOUN
ejpam-5803	115	52	a.	a.	NOUN
ejpam-5803	115	53	khater	khater	PROPN
ejpam-5803	115	54	/	/	SYM
ejpam-5803	115	55	eur	eur	PROPN
ejpam-5803	115	56	.	.	PUNCT
ejpam-5803	116	1	j.	j.	PROPN
ejpam-5803	116	2	pure	pure	PROPN
ejpam-5803	116	3	appl	appl	PROPN
ejpam-5803	116	4	.	.	PROPN
ejpam-5803	116	5	math	math	PROPN
ejpam-5803	116	6	,	,	PUNCT
ejpam-5803	116	7	18	18	NUM
ejpam-5803	116	8	(	(	PUNCT
ejpam-5803	116	9	4	4	NUM
ejpam-5803	116	10	)	)	PUNCT
ejpam-5803	116	11	(	(	PUNCT
ejpam-5803	116	12	2025	2025	NUM
ejpam-5803	116	13	)	)	PUNCT
ejpam-5803	116	14	,	,	PUNCT
ejpam-5803	116	15	5803	5803	NUM
ejpam-5803	116	16	8	8	NUM
ejpam-5803	116	17	of	of	ADP
ejpam-5803	116	18	31	31	NUM
ejpam-5803	116	19	where	where	SCONJ
ejpam-5803	116	20	ζ1	ζ1	PROPN
ejpam-5803	116	21	=	=	SYM
ejpam-5803	116	22	2hℓ(p(2q−1)+q2(κ+λ	2hℓ(p(2q−1)+q2(κ+λ	NUM
ejpam-5803	116	23	)	)	PUNCT
ejpam-5803	116	24	)	)	PUNCT
ejpam-5803	116	25	κ+p+κq	κ+p+κq	NOUN
ejpam-5803	116	26	,	,	PUNCT
ejpam-5803	116	27	ζ2	ζ2	NOUN
ejpam-5803	116	28	=	=	SYM
ejpam-5803	116	29	−2pq+p−(q2(κ+λ	−2pq+p−(q2(κ+λ	NOUN
ejpam-5803	116	30	)	)	PUNCT
ejpam-5803	116	31	)	)	PUNCT
ejpam-5803	116	32	κ+p+κq	κ+p+κq	NOUN
ejpam-5803	116	33	.	.	PUNCT
ejpam-5803	117	1	balancing	balance	VERB
ejpam-5803	117	2	the	the	DET
ejpam-5803	117	3	highest	high	ADJ
ejpam-5803	117	4	order	order	NOUN
ejpam-5803	117	5	derivative	derivative	ADJ
ejpam-5803	117	6	term	term	NOUN
ejpam-5803	117	7	and	and	CCONJ
ejpam-5803	117	8	nonlinear	nonlinear	ADJ
ejpam-5803	117	9	term	term	NOUN
ejpam-5803	117	10	in	in	ADP
ejpam-5803	117	11	eq	eq	ADP
ejpam-5803	117	12	.	.	PUNCT
ejpam-5803	118	1	(	(	PUNCT
ejpam-5803	118	2	5	5	NUM
ejpam-5803	118	3	)	)	PUNCT
ejpam-5803	118	4	along	along	ADP
ejpam-5803	118	5	with	with	ADP
ejpam-5803	118	6	the	the	DET
ejpam-5803	118	7	auxiliary	auxiliary	ADJ
ejpam-5803	118	8	equations	equation	NOUN
ejpam-5803	118	9	of	of	ADP
ejpam-5803	118	10	the	the	DET
ejpam-5803	118	11	suggested	suggest	VERB
ejpam-5803	118	12	analytical	analytical	ADJ
ejpam-5803	118	13	scheme	scheme	PROPN
ejpam-5803	118	14	khat	khat	PROPN
ejpam-5803	118	15	ii	ii	PROPN
ejpam-5803	118	16	method	method	PROPN
ejpam-5803	118	17	’s	’s	PART
ejpam-5803	118	18	auxiliary	auxiliary	ADJ
ejpam-5803	118	19	equation	equation	NOUN
ejpam-5803	118	20			PUNCT
ejpam-5803	118	21	ϕ′(ξ	ϕ′(ξ	PROPN
ejpam-5803	118	22	)	)	PUNCT
ejpam-5803	118	23	→	→	PUNCT
ejpam-5803	118	24	−f(ξ)ϕ(ξ	−f(ξ)ϕ(ξ	NUM
ejpam-5803	118	25	)	)	PUNCT
ejpam-5803	118	26	,	,	PUNCT
ejpam-5803	118	27	f	f	PROPN
ejpam-5803	118	28	′(ξ	′(ξ	PROPN
ejpam-5803	118	29	)	)	PUNCT
ejpam-5803	118	30	→	→	SYM
ejpam-5803	118	31	−δ	−δ	ADJ
ejpam-5803	118	32	−	−	PROPN
ejpam-5803	118	33	f(ξ)2	f(ξ)2	ADJ
ejpam-5803	118	34	,	,	PUNCT
ejpam-5803	118	35	ekud	ekud	NOUN
ejpam-5803	118	36	method	method	NOUN
ejpam-5803	118	37	’s	’s	PART
ejpam-5803	118	38	auxiliary	auxiliary	ADJ
ejpam-5803	118	39	equation	equation	NOUN
ejpam-5803	118	40	f	f	PROPN
ejpam-5803	118	41	′′(ξ	′′(ξ	PROPN
ejpam-5803	118	42	)	)	PUNCT
ejpam-5803	118	43	→	→	PUNCT
ejpam-5803	118	44	f(ξ)−	f(ξ)−	NOUN
ejpam-5803	118	45	2	2	NUM
ejpam-5803	118	46	τ	τ	NOUN
ejpam-5803	118	47	f(ξ)3	f(ξ)3	PROPN
ejpam-5803	118	48	,	,	PUNCT
ejpam-5803	118	49	(	(	PUNCT
ejpam-5803	118	50	6	6	NUM
ejpam-5803	118	51	)	)	PUNCT
ejpam-5803	118	52	where	where	SCONJ
ejpam-5803	118	53	,	,	PUNCT
ejpam-5803	118	54	δ	δ	PROPN
ejpam-5803	118	55	,	,	PUNCT
ejpam-5803	118	56	τ	τ	PROPN
ejpam-5803	118	57	are	be	AUX
ejpam-5803	118	58	arbitrary	arbitrary	ADJ
ejpam-5803	118	59	constants	constant	NOUN
ejpam-5803	118	60	to	to	PART
ejpam-5803	118	61	be	be	AUX
ejpam-5803	118	62	determined	determine	VERB
ejpam-5803	118	63	later	later	ADV
ejpam-5803	118	64	.	.	PUNCT
ejpam-5803	118	65	,	,	PUNCT
ejpam-5803	118	66	yield	yield	VERB
ejpam-5803	118	67	constructing	construct	VERB
ejpam-5803	118	68	the	the	DET
ejpam-5803	118	69	general	general	ADJ
ejpam-5803	118	70	solutions	solution	NOUN
ejpam-5803	118	71	of	of	ADP
ejpam-5803	118	72	eq	eq	PROPN
ejpam-5803	118	73	.	.	PUNCT
ejpam-5803	119	1	(	(	PUNCT
ejpam-5803	119	2	5	5	NUM
ejpam-5803	119	3	)	)	PUNCT
ejpam-5803	119	4	in	in	ADP
ejpam-5803	119	5	the	the	DET
ejpam-5803	119	6	next	next	ADJ
ejpam-5803	119	7	form	form	NOUN
ejpam-5803	119	8	ψ(ξ	ψ(ξ	PROPN
ejpam-5803	119	9	)	)	PUNCT
ejpam-5803	120	1	=	=	PUNCT
ejpam-5803	121	1			NUM
ejpam-5803	121	2	n∑	n∑	NOUN
ejpam-5803	122	1	i=1	i=1	PROPN
ejpam-5803	122	2	(	(	PUNCT
ejpam-5803	122	3	ai	ai	VERB
ejpam-5803	122	4	f(ξ	f(ξ	PROPN
ejpam-5803	122	5	)	)	PUNCT
ejpam-5803	123	1	i	i	PRON
ejpam-5803	123	2	+	+	CCONJ
ejpam-5803	123	3	bi	bi	PROPN
ejpam-5803	123	4	ϕ(ξ	ϕ(ξ	PROPN
ejpam-5803	123	5	)	)	PUNCT
ejpam-5803	124	1	f(ξ	f(ξ	X
ejpam-5803	124	2	)	)	PUNCT
ejpam-5803	124	3	i−1	i−1	PROPN
ejpam-5803	124	4	)	)	PUNCT
ejpam-5803	125	1	+	+	CCONJ
ejpam-5803	125	2	a0	a0	PROPN
ejpam-5803	125	3	,	,	PUNCT
ejpam-5803	125	4	khat	khat	PROPN
ejpam-5803	125	5	ii	ii	PROPN
ejpam-5803	125	6	method	method	PROPN
ejpam-5803	125	7	’s	’s	PART
ejpam-5803	125	8	sol	sol	NOUN
ejpam-5803	125	9	.	.	PROPN
ejpam-5803	125	10	,	,	PUNCT
ejpam-5803	126	1	n∑	n∑	PROPN
ejpam-5803	126	2	i=1	i=1	PROPN
ejpam-5803	126	3	(	(	PUNCT
ejpam-5803	126	4	aif(ξ	aif(ξ	NOUN
ejpam-5803	126	5	)	)	PUNCT
ejpam-5803	127	1	i	i	PRON
ejpam-5803	128	1	+	+	CCONJ
ejpam-5803	128	2	bi	bi	PROPN
ejpam-5803	128	3	(	(	PUNCT
ejpam-5803	128	4	f	f	PROPN
ejpam-5803	128	5	′(ξ	′(ξ	PROPN
ejpam-5803	128	6	)	)	PUNCT
ejpam-5803	128	7	f(ξ	f(ξ	NOUN
ejpam-5803	128	8	)	)	PUNCT
ejpam-5803	128	9	)	)	PUNCT
ejpam-5803	129	1	i	i	PRON
ejpam-5803	129	2	)	)	PUNCT
ejpam-5803	130	1	+	+	CCONJ
ejpam-5803	130	2	a0	a0	NOUN
ejpam-5803	130	3	,	,	PUNCT
ejpam-5803	130	4	ekud	ekud	NOUN
ejpam-5803	130	5	method	method	NOUN
ejpam-5803	130	6	’s	’s	PART
ejpam-5803	130	7	sol	sol	NOUN
ejpam-5803	130	8	.	.	PROPN
ejpam-5803	130	9	,	,	PUNCT
ejpam-5803	130	10	(	(	PUNCT
ejpam-5803	130	11	7	7	X
ejpam-5803	130	12	)	)	PUNCT
ejpam-5803	130	13	where	where	SCONJ
ejpam-5803	130	14	n	n	NOUN
ejpam-5803	130	15	=	=	SYM
ejpam-5803	130	16	1	1	NUM
ejpam-5803	130	17	,	,	PUNCT
ejpam-5803	130	18	while	while	SCONJ
ejpam-5803	130	19	ai	ai	VERB
ejpam-5803	130	20	,	,	PUNCT
ejpam-5803	130	21	bi	bi	NOUN
ejpam-5803	130	22	are	be	AUX
ejpam-5803	130	23	arbitrary	arbitrary	ADJ
ejpam-5803	130	24	constants	constant	NOUN
ejpam-5803	130	25	to	to	PART
ejpam-5803	130	26	be	be	AUX
ejpam-5803	130	27	determined	determine	VERB
ejpam-5803	130	28	later	later	ADV
ejpam-5803	130	29	.	.	PUNCT
ejpam-5803	131	1	the	the	DET
ejpam-5803	131	2	structure	structure	NOUN
ejpam-5803	131	3	of	of	ADP
ejpam-5803	131	4	this	this	DET
ejpam-5803	131	5	paper	paper	NOUN
ejpam-5803	131	6	is	be	AUX
ejpam-5803	131	7	organized	organize	VERB
ejpam-5803	131	8	as	as	SCONJ
ejpam-5803	131	9	follows	follow	VERB
ejpam-5803	131	10	:	:	PUNCT
ejpam-5803	131	11	commencing	commence	VERB
ejpam-5803	131	12	with	with	ADP
ejpam-5803	131	13	section	section	NOUN
ejpam-5803	131	14	2	2	NUM
ejpam-5803	131	15	,	,	PUNCT
ejpam-5803	131	16	we	we	PRON
ejpam-5803	131	17	carry	carry	VERB
ejpam-5803	131	18	out	out	ADP
ejpam-5803	131	19	an	an	DET
ejpam-5803	131	20	extensive	extensive	ADJ
ejpam-5803	131	21	exploration	exploration	NOUN
ejpam-5803	131	22	of	of	ADP
ejpam-5803	131	23	the	the	DET
ejpam-5803	131	24	model	model	NOUN
ejpam-5803	131	25	’s	’s	PART
ejpam-5803	131	26	dynamical	dynamical	ADJ
ejpam-5803	131	27	properties	property	NOUN
ejpam-5803	131	28	via	via	ADP
ejpam-5803	131	29	bifurcation	bifurcation	NOUN
ejpam-5803	131	30	analysis	analysis	NOUN
ejpam-5803	131	31	,	,	PUNCT
ejpam-5803	131	32	examination	examination	NOUN
ejpam-5803	131	33	of	of	ADP
ejpam-5803	131	34	chaotic	chaotic	ADJ
ejpam-5803	131	35	and	and	CCONJ
ejpam-5803	131	36	quasi	quasi	ADJ
ejpam-5803	131	37	-	-	ADJ
ejpam-5803	131	38	periodic	periodic	ADJ
ejpam-5803	131	39	behaviors	behavior	NOUN
ejpam-5803	131	40	,	,	PUNCT
ejpam-5803	131	41	and	and	CCONJ
ejpam-5803	131	42	evaluation	evaluation	NOUN
ejpam-5803	131	43	of	of	ADP
ejpam-5803	131	44	sensitivity	sensitivity	NOUN
ejpam-5803	131	45	to	to	PART
ejpam-5803	131	46	parameter	parameter	NOUN
ejpam-5803	131	47	variations	variation	NOUN
ejpam-5803	131	48	.	.	PUNCT
ejpam-5803	132	1	our	our	PRON
ejpam-5803	132	2	goal	goal	NOUN
ejpam-5803	132	3	is	be	AUX
ejpam-5803	132	4	to	to	PART
ejpam-5803	132	5	clarify	clarify	VERB
ejpam-5803	132	6	the	the	DET
ejpam-5803	132	7	fundamental	fundamental	ADJ
ejpam-5803	132	8	mechanisms	mechanism	NOUN
ejpam-5803	132	9	governing	govern	VERB
ejpam-5803	132	10	the	the	DET
ejpam-5803	132	11	system	system	NOUN
ejpam-5803	132	12	’s	’s	PART
ejpam-5803	132	13	evolution	evolution	NOUN
ejpam-5803	132	14	by	by	ADP
ejpam-5803	132	15	employing	employ	VERB
ejpam-5803	132	16	advanced	advanced	ADJ
ejpam-5803	132	17	mathematical	mathematical	ADJ
ejpam-5803	132	18	tools	tool	NOUN
ejpam-5803	132	19	from	from	ADP
ejpam-5803	132	20	nonlinear	nonlinear	ADJ
ejpam-5803	132	21	dynamical	dynamical	ADJ
ejpam-5803	132	22	theory	theory	NOUN
ejpam-5803	132	23	.	.	PUNCT
ejpam-5803	133	1	in	in	ADP
ejpam-5803	133	2	section	section	NOUN
ejpam-5803	133	3	3	3	NUM
ejpam-5803	133	4	,	,	PUNCT
ejpam-5803	133	5	we	we	PRON
ejpam-5803	133	6	conduct	conduct	VERB
ejpam-5803	133	7	a	a	DET
ejpam-5803	133	8	thorough	thorough	ADJ
ejpam-5803	133	9	review	review	NOUN
ejpam-5803	133	10	of	of	ADP
ejpam-5803	133	11	the	the	DET
ejpam-5803	133	12	analytical	analytical	ADJ
ejpam-5803	133	13	and	and	CCONJ
ejpam-5803	133	14	numerical	numerical	ADJ
ejpam-5803	133	15	methods	method	NOUN
ejpam-5803	133	16	utilized	utilize	VERB
ejpam-5803	133	17	to	to	PART
ejpam-5803	133	18	derive	derive	VERB
ejpam-5803	133	19	solutions	solution	NOUN
ejpam-5803	133	20	for	for	ADP
ejpam-5803	133	21	the	the	DET
ejpam-5803	133	22	studied	studied	ADJ
ejpam-5803	133	23	model	model	NOUN
ejpam-5803	133	24	.	.	PUNCT
ejpam-5803	134	1	section	section	NOUN
ejpam-5803	134	2	4	4	NUM
ejpam-5803	134	3	offers	offer	VERB
ejpam-5803	134	4	comprehensive	comprehensive	ADJ
ejpam-5803	134	5	numerical	numerical	ADJ
ejpam-5803	134	6	simulations	simulation	NOUN
ejpam-5803	134	7	that	that	PRON
ejpam-5803	134	8	shed	shed	VERB
ejpam-5803	134	9	light	light	NOUN
ejpam-5803	134	10	on	on	ADP
ejpam-5803	134	11	the	the	DET
ejpam-5803	134	12	dynamics	dynamic	NOUN
ejpam-5803	134	13	of	of	ADP
ejpam-5803	134	14	the	the	DET
ejpam-5803	134	15	model	model	NOUN
ejpam-5803	134	16	’s	’s	PART
ejpam-5803	134	17	solutions	solution	NOUN
ejpam-5803	134	18	,	,	PUNCT
ejpam-5803	134	19	providing	provide	VERB
ejpam-5803	134	20	deep	deep	ADJ
ejpam-5803	134	21	insights	insight	NOUN
ejpam-5803	134	22	into	into	ADP
ejpam-5803	134	23	its	its	PRON
ejpam-5803	134	24	associated	associated	ADJ
ejpam-5803	134	25	physical	physical	ADJ
ejpam-5803	134	26	properties	property	NOUN
ejpam-5803	134	27	.	.	PUNCT
ejpam-5803	135	1	section	section	NOUN
ejpam-5803	135	2	5	5	NUM
ejpam-5803	135	3	elaborates	elaborate	VERB
ejpam-5803	135	4	on	on	ADP
ejpam-5803	135	5	the	the	DET
ejpam-5803	135	6	scientific	scientific	ADJ
ejpam-5803	135	7	contributions	contribution	NOUN
ejpam-5803	135	8	of	of	ADP
ejpam-5803	135	9	this	this	DET
ejpam-5803	135	10	work	work	NOUN
ejpam-5803	135	11	,	,	PUNCT
ejpam-5803	135	12	emphasizing	emphasize	VERB
ejpam-5803	135	13	the	the	DET
ejpam-5803	135	14	unique	unique	ADJ
ejpam-5803	135	15	features	feature	NOUN
ejpam-5803	135	16	and	and	CCONJ
ejpam-5803	135	17	significance	significance	NOUN
ejpam-5803	135	18	of	of	ADP
ejpam-5803	135	19	the	the	DET
ejpam-5803	135	20	derived	derive	VERB
ejpam-5803	135	21	solutions	solution	NOUN
ejpam-5803	135	22	.	.	PUNCT
ejpam-5803	136	1	finally	finally	ADV
ejpam-5803	136	2	,	,	PUNCT
ejpam-5803	136	3	section	section	NOUN
ejpam-5803	136	4	6	6	NUM
ejpam-5803	136	5	delivers	deliver	NOUN
ejpam-5803	136	6	concluding	conclude	VERB
ejpam-5803	136	7	remarks	remark	NOUN
ejpam-5803	136	8	,	,	PUNCT
ejpam-5803	136	9	summarizing	summarize	VERB
ejpam-5803	136	10	the	the	DET
ejpam-5803	136	11	main	main	ADJ
ejpam-5803	136	12	findings	finding	NOUN
ejpam-5803	136	13	and	and	CCONJ
ejpam-5803	136	14	their	their	PRON
ejpam-5803	136	15	implications	implication	NOUN
ejpam-5803	136	16	,	,	PUNCT
ejpam-5803	136	17	and	and	CCONJ
ejpam-5803	136	18	synthesizes	synthesize	VERB
ejpam-5803	136	19	the	the	DET
ejpam-5803	136	20	research	research	NOUN
ejpam-5803	136	21	conducted	conduct	VERB
ejpam-5803	136	22	.	.	PUNCT
ejpam-5803	137	1	2	2	X
ejpam-5803	137	2	.	.	X
ejpam-5803	137	3	dynamical	dynamical	ADJ
ejpam-5803	137	4	analysis	analysis	NOUN
ejpam-5803	137	5	of	of	ADP
ejpam-5803	137	6	the	the	DET
ejpam-5803	137	7	fchfa	fchfa	ADJ
ejpam-5803	137	8	model	model	NOUN
ejpam-5803	137	9	this	this	DET
ejpam-5803	137	10	investigation	investigation	NOUN
ejpam-5803	137	11	delves	delve	VERB
ejpam-5803	137	12	into	into	ADP
ejpam-5803	137	13	the	the	DET
ejpam-5803	137	14	nonlinear	nonlinear	ADJ
ejpam-5803	137	15	fchfa	fchfa	PROPN
ejpam-5803	137	16	model	model	NOUN
ejpam-5803	137	17	,	,	PUNCT
ejpam-5803	137	18	focusing	focus	VERB
ejpam-5803	137	19	on	on	ADP
ejpam-5803	137	20	its	its	PRON
ejpam-5803	137	21	dynamical	dynamical	ADJ
ejpam-5803	137	22	properties	property	NOUN
ejpam-5803	137	23	through	through	ADP
ejpam-5803	137	24	bifurcation	bifurcation	NOUN
ejpam-5803	137	25	analysis	analysis	NOUN
ejpam-5803	137	26	,	,	PUNCT
ejpam-5803	137	27	exploration	exploration	NOUN
ejpam-5803	137	28	of	of	ADP
ejpam-5803	137	29	chaotic	chaotic	ADJ
ejpam-5803	137	30	and	and	CCONJ
ejpam-5803	137	31	quasi	quasi	ADJ
ejpam-5803	137	32	-	-	ADJ
ejpam-5803	137	33	periodic	periodic	ADJ
ejpam-5803	137	34	behaviors	behavior	NOUN
ejpam-5803	137	35	,	,	PUNCT
ejpam-5803	137	36	and	and	CCONJ
ejpam-5803	137	37	assessment	assessment	NOUN
ejpam-5803	137	38	of	of	ADP
ejpam-5803	137	39	sensitivity	sensitivity	NOUN
ejpam-5803	137	40	to	to	PART
ejpam-5803	137	41	parameter	parameter	NOUN
ejpam-5803	137	42	variations	variation	NOUN
ejpam-5803	137	43	.	.	PUNCT
ejpam-5803	138	1	the	the	DET
ejpam-5803	138	2	primary	primary	ADJ
ejpam-5803	138	3	objective	objective	NOUN
ejpam-5803	138	4	is	be	AUX
ejpam-5803	138	5	to	to	PART
ejpam-5803	138	6	employ	employ	VERB
ejpam-5803	138	7	advanced	advanced	ADJ
ejpam-5803	138	8	mathematical	mathematical	ADJ
ejpam-5803	138	9	tools	tool	NOUN
ejpam-5803	138	10	from	from	ADP
ejpam-5803	138	11	nonlinear	nonlinear	ADJ
ejpam-5803	138	12	dynamical	dynamical	ADJ
ejpam-5803	138	13	theory	theory	NOUN
ejpam-5803	138	14	to	to	PART
ejpam-5803	138	15	uncover	uncover	VERB
ejpam-5803	138	16	the	the	DET
ejpam-5803	138	17	fundamental	fundamental	ADJ
ejpam-5803	138	18	mechanisms	mechanism	NOUN
ejpam-5803	138	19	governing	govern	VERB
ejpam-5803	138	20	the	the	DET
ejpam-5803	138	21	system	system	NOUN
ejpam-5803	138	22	’s	’s	PART
ejpam-5803	138	23	evolution	evolution	NOUN
ejpam-5803	138	24	.	.	PUNCT
ejpam-5803	139	1	m.	m.	NOUN
ejpam-5803	139	2	m.	m.	NOUN
ejpam-5803	139	3	a.	a.	NOUN
ejpam-5803	139	4	khater	khater	PROPN
ejpam-5803	139	5	/	/	SYM
ejpam-5803	139	6	eur	eur	PROPN
ejpam-5803	139	7	.	.	PUNCT
ejpam-5803	140	1	j.	j.	PROPN
ejpam-5803	140	2	pure	pure	PROPN
ejpam-5803	140	3	appl	appl	PROPN
ejpam-5803	140	4	.	.	PROPN
ejpam-5803	140	5	math	math	PROPN
ejpam-5803	140	6	,	,	PUNCT
ejpam-5803	140	7	18	18	NUM
ejpam-5803	140	8	(	(	PUNCT
ejpam-5803	140	9	4	4	NUM
ejpam-5803	140	10	)	)	PUNCT
ejpam-5803	140	11	(	(	PUNCT
ejpam-5803	140	12	2025	2025	NUM
ejpam-5803	140	13	)	)	PUNCT
ejpam-5803	140	14	,	,	PUNCT
ejpam-5803	140	15	5803	5803	NUM
ejpam-5803	140	16	9	9	NUM
ejpam-5803	140	17	of	of	ADP
ejpam-5803	140	18	31	31	NUM
ejpam-5803	140	19	2.1	2.1	NUM
ejpam-5803	140	20	.	.	PUNCT
ejpam-5803	141	1	bifurcation	bifurcation	NOUN
ejpam-5803	141	2	analysis	analysis	NOUN
ejpam-5803	141	3	the	the	DET
ejpam-5803	141	4	bifurcation	bifurcation	NOUN
ejpam-5803	141	5	analysis	analysis	NOUN
ejpam-5803	141	6	involves	involve	VERB
ejpam-5803	141	7	examining	examine	VERB
ejpam-5803	141	8	the	the	DET
ejpam-5803	141	9	phase	phase	NOUN
ejpam-5803	141	10	-	-	PUNCT
ejpam-5803	141	11	space	space	NOUN
ejpam-5803	141	12	trajectories	trajectory	NOUN
ejpam-5803	141	13	of	of	ADP
ejpam-5803	141	14	the	the	DET
ejpam-5803	141	15	planar	planar	ADJ
ejpam-5803	141	16	dynamical	dynamical	ADJ
ejpam-5803	141	17	system	system	NOUN
ejpam-5803	141	18	derived	derive	VERB
ejpam-5803	141	19	from	from	ADP
ejpam-5803	141	20	the	the	DET
ejpam-5803	141	21	riemann	riemann	PROPN
ejpam-5803	141	22	coupled	couple	VERB
ejpam-5803	141	23	wave	wave	NOUN
ejpam-5803	141	24	equation	equation	NOUN
ejpam-5803	141	25	.	.	PUNCT
ejpam-5803	142	1	by	by	ADP
ejpam-5803	142	2	applying	apply	VERB
ejpam-5803	142	3	a	a	DET
ejpam-5803	142	4	galilean	galilean	PROPN
ejpam-5803	142	5	transformation	transformation	NOUN
ejpam-5803	142	6	to	to	ADP
ejpam-5803	142	7	the	the	DET
ejpam-5803	142	8	original	original	ADJ
ejpam-5803	142	9	equation	equation	NOUN
ejpam-5803	142	10	,	,	PUNCT
ejpam-5803	142	11	the	the	DET
ejpam-5803	142	12	system	system	NOUN
ejpam-5803	142	13	can	can	AUX
ejpam-5803	142	14	be	be	AUX
ejpam-5803	142	15	expressed	express	VERB
ejpam-5803	142	16	in	in	ADP
ejpam-5803	142	17	its	its	PRON
ejpam-5803	142	18	canonical	canonical	ADJ
ejpam-5803	142	19	form	form	NOUN
ejpam-5803	142	20	as	as	ADP
ejpam-5803	142	21	:	:	PUNCT
ejpam-5803	142	22			X
ejpam-5803	142	23	dψ	dψ	NOUN
ejpam-5803	142	24	dt	dt	NOUN
ejpam-5803	142	25	=	=	SYM
ejpam-5803	142	26	υ	υ	PROPN
ejpam-5803	142	27	,	,	PUNCT
ejpam-5803	142	28	dυ	dυ	NOUN
ejpam-5803	142	29	dt	dt	NOUN
ejpam-5803	143	1	=	=	PUNCT
ejpam-5803	143	2	−ζ1	−ζ1	PROPN
ejpam-5803	143	3	ψ	ψ	VERB
ejpam-5803	143	4	3	3	NUM
ejpam-5803	143	5	ζ2	ζ2	NOUN
ejpam-5803	143	6	−	−	NOUN
ejpam-5803	143	7	ψ	ψ	NOUN
ejpam-5803	143	8	ζ2	ζ2	NOUN
ejpam-5803	143	9	.	.	PUNCT
ejpam-5803	144	1	(	(	PUNCT
ejpam-5803	144	2	8)	8)	NUM
ejpam-5803	144	3	this	this	DET
ejpam-5803	144	4	system	system	NOUN
ejpam-5803	144	5	allows	allow	VERB
ejpam-5803	144	6	for	for	ADP
ejpam-5803	144	7	the	the	DET
ejpam-5803	144	8	characterization	characterization	NOUN
ejpam-5803	144	9	of	of	ADP
ejpam-5803	144	10	the	the	DET
ejpam-5803	144	11	traveling	travel	VERB
ejpam-5803	144	12	wave	wave	NOUN
ejpam-5803	144	13	solutions	solution	NOUN
ejpam-5803	144	14	based	base	VERB
ejpam-5803	144	15	on	on	ADP
ejpam-5803	144	16	the	the	DET
ejpam-5803	144	17	principles	principle	NOUN
ejpam-5803	144	18	of	of	ADP
ejpam-5803	144	19	planar	planar	ADJ
ejpam-5803	144	20	dynamical	dynamical	ADJ
ejpam-5803	144	21	systems	system	NOUN
ejpam-5803	144	22	.	.	PUNCT
ejpam-5803	145	1	the	the	DET
ejpam-5803	145	2	hamiltonian	hamiltonian	ADJ
ejpam-5803	145	3	function	function	NOUN
ejpam-5803	145	4	associated	associate	VERB
ejpam-5803	145	5	with	with	ADP
ejpam-5803	145	6	the	the	DET
ejpam-5803	145	7	system	system	NOUN
ejpam-5803	145	8	is	be	AUX
ejpam-5803	145	9	given	give	VERB
ejpam-5803	145	10	by	by	ADP
ejpam-5803	145	11	:	:	PUNCT
ejpam-5803	145	12	h(ψ	h(ψ	NOUN
ejpam-5803	145	13	,	,	PUNCT
ejpam-5803	145	14	υ	υ	NOUN
ejpam-5803	145	15	)	)	PUNCT
ejpam-5803	145	16	=	=	SYM
ejpam-5803	145	17	2	2	NUM
ejpam-5803	145	18	ζ2	ζ2	NOUN
ejpam-5803	145	19	υ	υ	NOUN
ejpam-5803	145	20	2	2	NUM
ejpam-5803	145	21	+	+	NUM
ejpam-5803	145	22	ζ1	ζ1	NOUN
ejpam-5803	145	23	ψ	ψ	NOUN
ejpam-5803	145	24	4	4	NUM
ejpam-5803	145	25	+	+	SYM
ejpam-5803	145	26	2ψ2	2ψ2	NUM
ejpam-5803	145	27	4	4	NUM
ejpam-5803	145	28	ζ2	ζ2	NOUN
ejpam-5803	145	29	=	=	SYM
ejpam-5803	145	30	g	g	NOUN
ejpam-5803	145	31	,	,	PUNCT
ejpam-5803	145	32	(	(	PUNCT
ejpam-5803	145	33	9	9	X
ejpam-5803	145	34	)	)	PUNCT
ejpam-5803	145	35	where	where	SCONJ
ejpam-5803	145	36	h(ψ	h(ψ	NOUN
ejpam-5803	145	37	,	,	PUNCT
ejpam-5803	145	38	υ	υ	NOUN
ejpam-5803	145	39	)	)	PUNCT
ejpam-5803	145	40	represents	represent	VERB
ejpam-5803	145	41	the	the	DET
ejpam-5803	145	42	total	total	ADJ
ejpam-5803	145	43	energy	energy	NOUN
ejpam-5803	145	44	of	of	ADP
ejpam-5803	145	45	the	the	DET
ejpam-5803	145	46	system	system	NOUN
ejpam-5803	145	47	,	,	PUNCT
ejpam-5803	145	48	comprising	comprise	VERB
ejpam-5803	145	49	the	the	DET
ejpam-5803	145	50	kinetic	kinetic	ADJ
ejpam-5803	145	51	energy	energy	NOUN
ejpam-5803	145	52	term	term	NOUN
ejpam-5803	145	53	(	(	PUNCT
ejpam-5803	145	54	υ	υ	NOUN
ejpam-5803	145	55	2	2	NUM
ejpam-5803	145	56	2	2	NUM
ejpam-5803	145	57	)	)	PUNCT
ejpam-5803	145	58	and	and	CCONJ
ejpam-5803	145	59	the	the	DET
ejpam-5803	145	60	potential	potential	ADJ
ejpam-5803	145	61	energy	energy	NOUN
ejpam-5803	145	62	term	term	NOUN
ejpam-5803	145	63	(	(	PUNCT
ejpam-5803	145	64	ζ1	ζ1	NOUN
ejpam-5803	145	65	ψ4	ψ4	NOUN
ejpam-5803	145	66	+	+	PROPN
ejpam-5803	145	67	2ψ2	2ψ2	NUM
ejpam-5803	145	68	4	4	NUM
ejpam-5803	145	69	ζ2	ζ2	NOUN
ejpam-5803	145	70	)	)	PUNCT
ejpam-5803	145	71	.	.	PUNCT
ejpam-5803	146	1	equilibrium	equilibrium	NOUN
ejpam-5803	146	2	points	point	VERB
ejpam-5803	146	3	the	the	DET
ejpam-5803	146	4	equilibrium	equilibrium	NOUN
ejpam-5803	146	5	points	point	NOUN
ejpam-5803	146	6	of	of	ADP
ejpam-5803	146	7	the	the	DET
ejpam-5803	146	8	system	system	NOUN
ejpam-5803	146	9	are	be	AUX
ejpam-5803	146	10	determined	determine	VERB
ejpam-5803	146	11	by	by	ADP
ejpam-5803	146	12	setting	set	VERB
ejpam-5803	146	13	(	(	PUNCT
ejpam-5803	146	14	dψ	dψ	INTJ
ejpam-5803	146	15	dt	dt	NOUN
ejpam-5803	146	16	=	=	NOUN
ejpam-5803	146	17	0	0	NUM
ejpam-5803	146	18	)	)	PUNCT
ejpam-5803	146	19	and	and	CCONJ
ejpam-5803	146	20	(	(	PUNCT
ejpam-5803	146	21	dυ	dυ	NOUN
ejpam-5803	146	22	dt	dt	NOUN
ejpam-5803	146	23	=	=	SYM
ejpam-5803	146	24	0	0	NUM
ejpam-5803	146	25	)	)	PUNCT
ejpam-5803	146	26	,	,	PUNCT
ejpam-5803	146	27	which	which	PRON
ejpam-5803	146	28	leads	lead	VERB
ejpam-5803	146	29	to	to	ADP
ejpam-5803	146	30	:	:	PUNCT
ejpam-5803	146	31			NUM
ejpam-5803	146	32	υ	υ	NOUN
ejpam-5803	146	33	=	=	NOUN
ejpam-5803	146	34	0	0	PROPN
ejpam-5803	146	35	,	,	PUNCT
ejpam-5803	146	36	ζ1	ζ1	NOUN
ejpam-5803	146	37	ψ	ψ	NOUN
ejpam-5803	146	38	3	3	NUM
ejpam-5803	146	39	ζ2	ζ2	NOUN
ejpam-5803	146	40	+	+	CCONJ
ejpam-5803	146	41	ψ	ψ	NOUN
ejpam-5803	146	42	ζ2	ζ2	NOUN
ejpam-5803	146	43	=	=	SYM
ejpam-5803	146	44	0	0	NUM
ejpam-5803	146	45	.	.	PUNCT
ejpam-5803	147	1	(	(	PUNCT
ejpam-5803	147	2	10	10	NUM
ejpam-5803	147	3	)	)	PUNCT
ejpam-5803	147	4	the	the	DET
ejpam-5803	147	5	solutions	solution	NOUN
ejpam-5803	147	6	to	to	ADP
ejpam-5803	147	7	(	(	PUNCT
ejpam-5803	147	8	10	10	NUM
ejpam-5803	147	9	)	)	PUNCT
ejpam-5803	147	10	yield	yield	VERB
ejpam-5803	147	11	the	the	DET
ejpam-5803	147	12	equilibrium	equilibrium	NOUN
ejpam-5803	147	13	points	point	NOUN
ejpam-5803	147	14	e1	e1	NOUN
ejpam-5803	147	15	=	=	SYM
ejpam-5803	147	16	(	(	PUNCT
ejpam-5803	147	17	0	0	NUM
ejpam-5803	147	18	,	,	PUNCT
ejpam-5803	147	19	0	0	NUM
ejpam-5803	147	20	)	)	PUNCT
ejpam-5803	147	21	,	,	PUNCT
ejpam-5803	147	22	e2	e2	PROPN
ejpam-5803	147	23	=	=	PUNCT
ejpam-5803	147	24	(	(	PUNCT
ejpam-5803	147	25	−	−	PROPN
ejpam-5803	147	26	i√	i√	ADJ
ejpam-5803	147	27	ζ1	ζ1	NOUN
ejpam-5803	147	28	,	,	PUNCT
ejpam-5803	147	29	0	0	NUM
ejpam-5803	147	30	)	)	PUNCT
ejpam-5803	147	31	,	,	PUNCT
ejpam-5803	147	32	and	and	CCONJ
ejpam-5803	147	33	e3	e3	NOUN
ejpam-5803	147	34	=	=	SYM
ejpam-5803	147	35	(	(	PUNCT
ejpam-5803	147	36	i√	i√	PROPN
ejpam-5803	147	37	ζ1	ζ1	NOUN
ejpam-5803	147	38	,	,	PUNCT
ejpam-5803	147	39	0	0	NUM
ejpam-5803	147	40	)	)	PUNCT
ejpam-5803	147	41	.	.	PUNCT
ejpam-5803	148	1	stability	stability	NOUN
ejpam-5803	148	2	analysis	analysis	NOUN
ejpam-5803	148	3	to	to	PART
ejpam-5803	148	4	assess	assess	VERB
ejpam-5803	148	5	the	the	DET
ejpam-5803	148	6	stability	stability	NOUN
ejpam-5803	148	7	of	of	ADP
ejpam-5803	148	8	the	the	DET
ejpam-5803	148	9	equilibrium	equilibrium	NOUN
ejpam-5803	148	10	points	point	NOUN
ejpam-5803	148	11	,	,	PUNCT
ejpam-5803	148	12	we	we	PRON
ejpam-5803	148	13	compute	compute	VERB
ejpam-5803	148	14	the	the	DET
ejpam-5803	148	15	jacobian	jacobian	ADJ
ejpam-5803	148	16	matrix	matrix	NOUN
ejpam-5803	148	17	j	j	PROPN
ejpam-5803	148	18	(	(	PUNCT
ejpam-5803	148	19	ψ	ψ	PROPN
ejpam-5803	148	20	,	,	PUNCT
ejpam-5803	148	21	υ	υ	NOUN
ejpam-5803	148	22	)	)	PUNCT
ejpam-5803	148	23	for	for	ADP
ejpam-5803	148	24	the	the	DET
ejpam-5803	148	25	system	system	NOUN
ejpam-5803	148	26	(	(	PUNCT
ejpam-5803	148	27	8)	8)	NUM
ejpam-5803	148	28	:	:	PUNCT
ejpam-5803	148	29	j	j	PROPN
ejpam-5803	148	30	(	(	PUNCT
ejpam-5803	148	31	ψ	ψ	X
ejpam-5803	148	32	,	,	PUNCT
ejpam-5803	148	33	υ	υ	NOUN
ejpam-5803	148	34	)	)	PUNCT
ejpam-5803	148	35	=	=	SYM
ejpam-5803	148	36	(	(	PUNCT
ejpam-5803	148	37	0	0	NUM
ejpam-5803	148	38	1	1	NUM
ejpam-5803	148	39	−3	−3	NOUN
ejpam-5803	148	40	ζ1	ζ1	NOUN
ejpam-5803	148	41	ψ2	ψ2	VERB
ejpam-5803	148	42	+	+	PROPN
ejpam-5803	148	43	1	1	NUM
ejpam-5803	148	44	ζ2	ζ2	NOUN
ejpam-5803	148	45	0	0	NUM
ejpam-5803	148	46	)	)	PUNCT
ejpam-5803	148	47	.	.	PUNCT
ejpam-5803	149	1	(	(	PUNCT
ejpam-5803	149	2	11	11	NUM
ejpam-5803	149	3	)	)	PUNCT
ejpam-5803	149	4	m.	m.	NOUN
ejpam-5803	149	5	m.	m.	NOUN
ejpam-5803	149	6	a.	a.	NOUN
ejpam-5803	149	7	khater	khater	PROPN
ejpam-5803	149	8	/	/	SYM
ejpam-5803	149	9	eur	eur	PROPN
ejpam-5803	149	10	.	.	PUNCT
ejpam-5803	150	1	j.	j.	PROPN
ejpam-5803	150	2	pure	pure	PROPN
ejpam-5803	150	3	appl	appl	PROPN
ejpam-5803	150	4	.	.	PROPN
ejpam-5803	150	5	math	math	PROPN
ejpam-5803	150	6	,	,	PUNCT
ejpam-5803	150	7	18	18	NUM
ejpam-5803	150	8	(	(	PUNCT
ejpam-5803	150	9	4	4	NUM
ejpam-5803	150	10	)	)	PUNCT
ejpam-5803	150	11	(	(	PUNCT
ejpam-5803	150	12	2025	2025	NUM
ejpam-5803	150	13	)	)	PUNCT
ejpam-5803	150	14	,	,	PUNCT
ejpam-5803	150	15	5803	5803	NUM
ejpam-5803	150	16	10	10	NUM
ejpam-5803	150	17	of	of	ADP
ejpam-5803	150	18	31	31	NUM
ejpam-5803	150	19	the	the	DET
ejpam-5803	150	20	determinant	determinant	NOUN
ejpam-5803	150	21	of	of	ADP
ejpam-5803	150	22	j	j	PROPN
ejpam-5803	150	23	(	(	PUNCT
ejpam-5803	150	24	ψ	ψ	X
ejpam-5803	150	25	,	,	PUNCT
ejpam-5803	150	26	υ	υ	NOUN
ejpam-5803	150	27	)	)	PUNCT
ejpam-5803	150	28	is	be	AUX
ejpam-5803	150	29	:	:	PUNCT
ejpam-5803	150	30	det(j	det(j	X
ejpam-5803	150	31	(	(	PUNCT
ejpam-5803	150	32	ψ	ψ	NOUN
ejpam-5803	150	33	,	,	PUNCT
ejpam-5803	150	34	υ	υ	NOUN
ejpam-5803	150	35	)	)	PUNCT
ejpam-5803	150	36	)	)	PUNCT
ejpam-5803	151	1	=	=	SYM
ejpam-5803	151	2	3	3	NUM
ejpam-5803	151	3	ζ1	ζ1	NOUN
ejpam-5803	151	4	ψ	ψ	NOUN
ejpam-5803	151	5	2	2	NUM
ejpam-5803	151	6	+	+	SYM
ejpam-5803	151	7	1	1	NUM
ejpam-5803	151	8	ζ2	ζ2	NOUN
ejpam-5803	151	9	.	.	PUNCT
ejpam-5803	152	1	(	(	PUNCT
ejpam-5803	152	2	12	12	NUM
ejpam-5803	152	3	)	)	PUNCT
ejpam-5803	152	4	the	the	DET
ejpam-5803	152	5	stability	stability	NOUN
ejpam-5803	152	6	of	of	ADP
ejpam-5803	152	7	the	the	DET
ejpam-5803	152	8	equilibrium	equilibrium	NOUN
ejpam-5803	152	9	points	point	NOUN
ejpam-5803	152	10	depends	depend	VERB
ejpam-5803	152	11	on	on	ADP
ejpam-5803	152	12	the	the	DET
ejpam-5803	152	13	eigenvalues	eigenvalue	NOUN
ejpam-5803	152	14	of	of	ADP
ejpam-5803	152	15	j	j	PROPN
ejpam-5803	152	16	(	(	PUNCT
ejpam-5803	152	17	ψ	ψ	X
ejpam-5803	152	18	,	,	PUNCT
ejpam-5803	152	19	υ	υ	NOUN
ejpam-5803	152	20	)	)	PUNCT
ejpam-5803	152	21	.	.	PUNCT
ejpam-5803	153	1	these	these	DET
ejpam-5803	153	2	eigenvalues	eigenvalue	NOUN
ejpam-5803	153	3	are	be	AUX
ejpam-5803	153	4	obtained	obtain	VERB
ejpam-5803	153	5	by	by	ADP
ejpam-5803	153	6	solving	solve	VERB
ejpam-5803	153	7	the	the	DET
ejpam-5803	153	8	characteristic	characteristic	ADJ
ejpam-5803	153	9	equation	equation	NOUN
ejpam-5803	153	10	:	:	PUNCT
ejpam-5803	154	1	det(j	det(j	PROPN
ejpam-5803	154	2	(	(	PUNCT
ejpam-5803	154	3	ψ	ψ	X
ejpam-5803	154	4	,	,	PUNCT
ejpam-5803	154	5	υ)−	υ)−	PROPN
ejpam-5803	154	6	λi	λi	PROPN
ejpam-5803	154	7	)	)	PUNCT
ejpam-5803	154	8	=	=	SYM
ejpam-5803	154	9	det	det	X
ejpam-5803	154	10	(	(	PUNCT
ejpam-5803	154	11	(	(	PUNCT
ejpam-5803	154	12	0	0	NUM
ejpam-5803	154	13	1	1	NUM
ejpam-5803	154	14	−3	−3	NOUN
ejpam-5803	154	15	ζ1	ζ1	NOUN
ejpam-5803	154	16	ψ2	ψ2	VERB
ejpam-5803	154	17	+	+	PROPN
ejpam-5803	154	18	1	1	NUM
ejpam-5803	154	19	ζ2	ζ2	NOUN
ejpam-5803	154	20	0	0	NUM
ejpam-5803	154	21	)	)	PUNCT
ejpam-5803	155	1	−	−	PROPN
ejpam-5803	155	2	λ	λ	INTJ
ejpam-5803	155	3	(	(	PUNCT
ejpam-5803	155	4	1	1	NUM
ejpam-5803	155	5	0	0	NUM
ejpam-5803	155	6	0	0	NUM
ejpam-5803	155	7	1	1	NUM
ejpam-5803	155	8	)	)	PUNCT
ejpam-5803	155	9	)	)	PUNCT
ejpam-5803	156	1	=	=	PUNCT
ejpam-5803	156	2	0	0	X
ejpam-5803	156	3	.	.	PUNCT
ejpam-5803	157	1	(	(	PUNCT
ejpam-5803	157	2	13	13	NUM
ejpam-5803	157	3	)	)	PUNCT
ejpam-5803	157	4	this	this	DET
ejpam-5803	157	5	simplifies	simplifie	NOUN
ejpam-5803	157	6	to	to	ADP
ejpam-5803	157	7	:	:	PUNCT
ejpam-5803	157	8	det	det	PROPN
ejpam-5803	157	9	(	(	PUNCT
ejpam-5803	157	10	−λ	−λ	PROPN
ejpam-5803	157	11	1	1	NUM
ejpam-5803	157	12	−4	−4	NOUN
ejpam-5803	157	13	η+κλ3	η+κλ3	NUM
ejpam-5803	157	14	+	+	SYM
ejpam-5803	157	15	12λψ	12λψ	ADJ
ejpam-5803	157	16	λ	λ	NOUN
ejpam-5803	157	17	−λ	−λ	NOUN
ejpam-5803	157	18	)	)	PUNCT
ejpam-5803	158	1	=	=	SYM
ejpam-5803	158	2	0	0	X
ejpam-5803	158	3	.	.	PUNCT
ejpam-5803	159	1	(	(	PUNCT
ejpam-5803	159	2	14	14	NUM
ejpam-5803	159	3	)	)	PUNCT
ejpam-5803	159	4	simplifying	simplify	VERB
ejpam-5803	159	5	this	this	DET
ejpam-5803	159	6	expression	expression	NOUN
ejpam-5803	159	7	:	:	PUNCT
ejpam-5803	159	8	λ2	λ2	NOUN
ejpam-5803	159	9	−	−	PROPN
ejpam-5803	159	10	3	3	NUM
ejpam-5803	159	11	ζ1	ζ1	NOUN
ejpam-5803	159	12	ψ	ψ	NOUN
ejpam-5803	159	13	2	2	NUM
ejpam-5803	159	14	+	+	SYM
ejpam-5803	159	15	1	1	NUM
ejpam-5803	159	16	ζ2	ζ2	NOUN
ejpam-5803	159	17	=	=	SYM
ejpam-5803	159	18	0	0	NUM
ejpam-5803	159	19	.	.	PUNCT
ejpam-5803	160	1	(	(	PUNCT
ejpam-5803	160	2	15	15	NUM
ejpam-5803	160	3	)	)	PUNCT
ejpam-5803	160	4	at	at	ADP
ejpam-5803	160	5	this	this	DET
ejpam-5803	160	6	point	point	NOUN
ejpam-5803	160	7	,	,	PUNCT
ejpam-5803	160	8	solving	solve	VERB
ejpam-5803	160	9	the	the	DET
ejpam-5803	160	10	cubic	cubic	ADJ
ejpam-5803	160	11	equation	equation	NOUN
ejpam-5803	160	12	is	be	AUX
ejpam-5803	160	13	necessary	necessary	ADJ
ejpam-5803	160	14	.	.	PUNCT
ejpam-5803	161	1	the	the	DET
ejpam-5803	161	2	roots	root	NOUN
ejpam-5803	161	3	of	of	ADP
ejpam-5803	161	4	the	the	DET
ejpam-5803	161	5	equation	equation	NOUN
ejpam-5803	161	6	give	give	VERB
ejpam-5803	161	7	the	the	DET
ejpam-5803	161	8	eigenvalues	eigenvalue	NOUN
ejpam-5803	161	9	of	of	ADP
ejpam-5803	161	10	the	the	DET
ejpam-5803	161	11	matrix	matrix	NOUN
ejpam-5803	161	12	j	j	PROPN
ejpam-5803	161	13	(	(	PUNCT
ejpam-5803	161	14	ψ	ψ	PROPN
ejpam-5803	161	15	,	,	PUNCT
ejpam-5803	161	16	υ	υ	NOUN
ejpam-5803	161	17	)	)	PUNCT
ejpam-5803	161	18	.	.	PUNCT
ejpam-5803	162	1	the	the	DET
ejpam-5803	162	2	eigenvalues	eigenvalue	NOUN
ejpam-5803	162	3	of	of	ADP
ejpam-5803	162	4	a	a	DET
ejpam-5803	162	5	matrix	matrix	NOUN
ejpam-5803	162	6	reveal	reveal	VERB
ejpam-5803	162	7	key	key	ADJ
ejpam-5803	162	8	aspects	aspect	NOUN
ejpam-5803	162	9	of	of	ADP
ejpam-5803	162	10	the	the	DET
ejpam-5803	162	11	system	system	NOUN
ejpam-5803	162	12	it	it	PRON
ejpam-5803	162	13	represents	represent	VERB
ejpam-5803	162	14	.	.	PUNCT
ejpam-5803	163	1	in	in	ADP
ejpam-5803	163	2	this	this	DET
ejpam-5803	163	3	case	case	NOUN
ejpam-5803	163	4	,	,	PUNCT
ejpam-5803	163	5	the	the	DET
ejpam-5803	163	6	eigenvalues	eigenvalue	NOUN
ejpam-5803	163	7	are	be	AUX
ejpam-5803	163	8	real	real	ADJ
ejpam-5803	163	9	and	and	CCONJ
ejpam-5803	163	10	have	have	VERB
ejpam-5803	163	11	opposite	opposite	ADJ
ejpam-5803	163	12	signs	sign	NOUN
ejpam-5803	163	13	,	,	PUNCT
ejpam-5803	163	14	suggesting	suggest	VERB
ejpam-5803	163	15	the	the	DET
ejpam-5803	163	16	presence	presence	NOUN
ejpam-5803	163	17	of	of	ADP
ejpam-5803	163	18	a	a	DET
ejpam-5803	163	19	saddle	saddle	NOUN
ejpam-5803	163	20	point	point	NOUN
ejpam-5803	163	21	,	,	PUNCT
ejpam-5803	163	22	where	where	SCONJ
ejpam-5803	163	23	some	some	DET
ejpam-5803	163	24	solutions	solution	NOUN
ejpam-5803	163	25	grow	grow	VERB
ejpam-5803	163	26	while	while	SCONJ
ejpam-5803	163	27	others	other	NOUN
ejpam-5803	163	28	decay	decay	VERB
ejpam-5803	163	29	.	.	PUNCT
ejpam-5803	164	1	the	the	DET
ejpam-5803	164	2	magnitude	magnitude	NOUN
ejpam-5803	164	3	of	of	ADP
ejpam-5803	164	4	the	the	DET
ejpam-5803	164	5	eigenvalues	eigenvalue	NOUN
ejpam-5803	164	6	indicates	indicate	VERB
ejpam-5803	164	7	the	the	DET
ejpam-5803	164	8	rate	rate	NOUN
ejpam-5803	164	9	of	of	ADP
ejpam-5803	164	10	growth	growth	NOUN
ejpam-5803	164	11	or	or	CCONJ
ejpam-5803	164	12	decay	decay	NOUN
ejpam-5803	164	13	,	,	PUNCT
ejpam-5803	164	14	with	with	ADP
ejpam-5803	164	15	larger	large	ADJ
ejpam-5803	164	16	values	value	NOUN
ejpam-5803	164	17	leading	lead	VERB
ejpam-5803	164	18	to	to	ADP
ejpam-5803	164	19	faster	fast	ADJ
ejpam-5803	164	20	dynamics	dynamic	NOUN
ejpam-5803	164	21	.	.	PUNCT
ejpam-5803	165	1	since	since	SCONJ
ejpam-5803	165	2	the	the	DET
ejpam-5803	165	3	eigenvalues	eigenvalue	NOUN
ejpam-5803	165	4	are	be	AUX
ejpam-5803	165	5	not	not	PART
ejpam-5803	165	6	complex	complex	ADJ
ejpam-5803	165	7	,	,	PUNCT
ejpam-5803	165	8	the	the	DET
ejpam-5803	165	9	system	system	NOUN
ejpam-5803	165	10	does	do	AUX
ejpam-5803	165	11	not	not	PART
ejpam-5803	165	12	exhibit	exhibit	VERB
ejpam-5803	165	13	oscillatory	oscillatory	ADJ
ejpam-5803	165	14	behavior	behavior	NOUN
ejpam-5803	165	15	but	but	CCONJ
ejpam-5803	165	16	instead	instead	ADV
ejpam-5803	165	17	evolves	evolve	VERB
ejpam-5803	165	18	monotonically	monotonically	ADV
ejpam-5803	165	19	in	in	ADP
ejpam-5803	165	20	different	different	ADJ
ejpam-5803	165	21	directions	direction	NOUN
ejpam-5803	165	22	.	.	PUNCT
ejpam-5803	166	1	the	the	DET
ejpam-5803	166	2	eigenvalues	eigenvalue	NOUN
ejpam-5803	166	3	thus	thus	ADV
ejpam-5803	166	4	provide	provide	VERB
ejpam-5803	166	5	insights	insight	NOUN
ejpam-5803	166	6	into	into	ADP
ejpam-5803	166	7	the	the	DET
ejpam-5803	166	8	stability	stability	NOUN
ejpam-5803	166	9	of	of	ADP
ejpam-5803	166	10	the	the	DET
ejpam-5803	166	11	system	system	NOUN
ejpam-5803	166	12	,	,	PUNCT
ejpam-5803	166	13	with	with	ADP
ejpam-5803	166	14	positive	positive	ADJ
ejpam-5803	166	15	eigenvalues	eigenvalue	NOUN
ejpam-5803	166	16	indicating	indicate	VERB
ejpam-5803	166	17	instability	instability	NOUN
ejpam-5803	166	18	and	and	CCONJ
ejpam-5803	166	19	negative	negative	ADJ
ejpam-5803	166	20	ones	one	NOUN
ejpam-5803	166	21	suggesting	suggest	VERB
ejpam-5803	166	22	stable	stable	ADJ
ejpam-5803	166	23	dynamics	dynamic	NOUN
ejpam-5803	166	24	along	along	ADP
ejpam-5803	166	25	certain	certain	ADJ
ejpam-5803	166	26	directions	direction	NOUN
ejpam-5803	166	27	.	.	PUNCT
ejpam-5803	167	1	understanding	understand	VERB
ejpam-5803	167	2	these	these	DET
ejpam-5803	167	3	eigenvalues	eigenvalue	NOUN
ejpam-5803	167	4	helps	help	VERB
ejpam-5803	167	5	in	in	ADP
ejpam-5803	167	6	predicting	predict	VERB
ejpam-5803	167	7	how	how	SCONJ
ejpam-5803	167	8	the	the	DET
ejpam-5803	167	9	system	system	NOUN
ejpam-5803	167	10	will	will	AUX
ejpam-5803	167	11	behave	behave	VERB
ejpam-5803	167	12	over	over	ADP
ejpam-5803	167	13	time	time	NOUN
ejpam-5803	167	14	,	,	PUNCT
ejpam-5803	167	15	whether	whether	SCONJ
ejpam-5803	167	16	it	it	PRON
ejpam-5803	167	17	will	will	AUX
ejpam-5803	167	18	stabilize	stabilize	VERB
ejpam-5803	167	19	or	or	CCONJ
ejpam-5803	167	20	diverge	diverge	VERB
ejpam-5803	167	21	.	.	PUNCT
ejpam-5803	168	1	the	the	DET
ejpam-5803	168	2	analysis	analysis	NOUN
ejpam-5803	168	3	reveals	reveal	VERB
ejpam-5803	168	4	that	that	SCONJ
ejpam-5803	168	5	the	the	DET
ejpam-5803	168	6	nature	nature	NOUN
ejpam-5803	168	7	of	of	ADP
ejpam-5803	168	8	the	the	DET
ejpam-5803	168	9	equilibrium	equilibrium	NOUN
ejpam-5803	168	10	points	point	NOUN
ejpam-5803	168	11	varies	vary	VERB
ejpam-5803	168	12	significantly	significantly	ADV
ejpam-5803	168	13	with	with	ADP
ejpam-5803	168	14	the	the	DET
ejpam-5803	168	15	parameter	parameter	NOUN
ejpam-5803	168	16	values	value	NOUN
ejpam-5803	168	17	(	(	PUNCT
ejpam-5803	168	18	ζ1	ζ1	NOUN
ejpam-5803	168	19	,	,	PUNCT
ejpam-5803	168	20	ζ2	ζ2	NOUN
ejpam-5803	168	21	)	)	PUNCT
ejpam-5803	168	22	,	,	PUNCT
ejpam-5803	168	23	as	as	SCONJ
ejpam-5803	168	24	summarized	summarize	VERB
ejpam-5803	168	25	below	below	ADP
ejpam-5803	168	26	:	:	PUNCT
ejpam-5803	168	27	•	•	ADP
ejpam-5803	168	28	for	for	ADP
ejpam-5803	168	29	(	(	PUNCT
ejpam-5803	168	30	ζ1	ζ1	NOUN
ejpam-5803	168	31	,	,	PUNCT
ejpam-5803	168	32	ζ2	ζ2	NOUN
ejpam-5803	168	33	)	)	PUNCT
ejpam-5803	168	34	=	=	PUNCT
ejpam-5803	168	35	(	(	PUNCT
ejpam-5803	168	36	−4,−2	−4,−2	NUM
ejpam-5803	168	37	)	)	PUNCT
ejpam-5803	168	38	,	,	PUNCT
ejpam-5803	168	39	e1	e1	NOUN
ejpam-5803	168	40	is	be	AUX
ejpam-5803	168	41	a	a	DET
ejpam-5803	168	42	saddle	saddle	NOUN
ejpam-5803	168	43	point	point	NOUN
ejpam-5803	168	44	,	,	PUNCT
ejpam-5803	168	45	and	and	CCONJ
ejpam-5803	168	46	e2	e2	PROPN
ejpam-5803	168	47	,	,	PUNCT
ejpam-5803	168	48	e3	e3	NOUN
ejpam-5803	168	49	are	be	AUX
ejpam-5803	168	50	center	center	ADJ
ejpam-5803	168	51	points	point	NOUN
ejpam-5803	168	52	.	.	PUNCT
ejpam-5803	169	1	•	•	NOUN
ejpam-5803	169	2	for	for	ADP
ejpam-5803	169	3	(	(	PUNCT
ejpam-5803	169	4	ζ1	ζ1	NOUN
ejpam-5803	169	5	,	,	PUNCT
ejpam-5803	169	6	ζ2	ζ2	NOUN
ejpam-5803	169	7	)	)	PUNCT
ejpam-5803	169	8	=	=	SYM
ejpam-5803	169	9	(	(	PUNCT
ejpam-5803	169	10	−9	−9	NOUN
ejpam-5803	169	11	,	,	PUNCT
ejpam-5803	169	12	2	2	NUM
ejpam-5803	169	13	)	)	PUNCT
ejpam-5803	169	14	,	,	PUNCT
ejpam-5803	169	15	e1	e1	NOUN
ejpam-5803	169	16	is	be	AUX
ejpam-5803	169	17	a	a	DET
ejpam-5803	169	18	center	center	NOUN
ejpam-5803	169	19	point	point	NOUN
ejpam-5803	169	20	,	,	PUNCT
ejpam-5803	169	21	and	and	CCONJ
ejpam-5803	169	22	e2	e2	PROPN
ejpam-5803	169	23	,	,	PUNCT
ejpam-5803	169	24	e3	e3	NOUN
ejpam-5803	169	25	are	be	AUX
ejpam-5803	169	26	a	a	DET
ejpam-5803	169	27	saddle	saddle	NOUN
ejpam-5803	169	28	points	point	NOUN
ejpam-5803	169	29	.	.	PUNCT
ejpam-5803	170	1	the	the	DET
ejpam-5803	170	2	bifurcation	bifurcation	NOUN
ejpam-5803	170	3	diagrams	diagram	NOUN
ejpam-5803	170	4	in	in	ADP
ejpam-5803	170	5	figure	figure	NOUN
ejpam-5803	170	6	1	1	NUM
ejpam-5803	170	7	illustrate	illustrate	VERB
ejpam-5803	170	8	these	these	DET
ejpam-5803	170	9	scenarios	scenario	NOUN
ejpam-5803	170	10	,	,	PUNCT
ejpam-5803	170	11	showcasing	showcase	VERB
ejpam-5803	170	12	the	the	DET
ejpam-5803	170	13	significant	significant	ADJ
ejpam-5803	170	14	influence	influence	NOUN
ejpam-5803	170	15	of	of	ADP
ejpam-5803	170	16	parameter	parameter	NOUN
ejpam-5803	170	17	variations	variation	NOUN
ejpam-5803	170	18	on	on	ADP
ejpam-5803	170	19	the	the	DET
ejpam-5803	170	20	system	system	NOUN
ejpam-5803	170	21	’s	’s	PART
ejpam-5803	170	22	dynamics	dynamic	NOUN
ejpam-5803	170	23	.	.	PUNCT
ejpam-5803	171	1	m.	m.	NOUN
ejpam-5803	171	2	m.	m.	NOUN
ejpam-5803	171	3	a.	a.	NOUN
ejpam-5803	171	4	khater	khater	PROPN
ejpam-5803	171	5	/	/	SYM
ejpam-5803	171	6	eur	eur	PROPN
ejpam-5803	171	7	.	.	PUNCT
ejpam-5803	172	1	j.	j.	PROPN
ejpam-5803	172	2	pure	pure	PROPN
ejpam-5803	172	3	appl	appl	PROPN
ejpam-5803	172	4	.	.	PROPN
ejpam-5803	172	5	math	math	PROPN
ejpam-5803	172	6	,	,	PUNCT
ejpam-5803	172	7	18	18	NUM
ejpam-5803	172	8	(	(	PUNCT
ejpam-5803	172	9	4	4	NUM
ejpam-5803	172	10	)	)	PUNCT
ejpam-5803	172	11	(	(	PUNCT
ejpam-5803	172	12	2025	2025	NUM
ejpam-5803	172	13	)	)	PUNCT
ejpam-5803	172	14	,	,	PUNCT
ejpam-5803	172	15	5803	5803	NUM
ejpam-5803	172	16	11	11	NUM
ejpam-5803	172	17	of	of	ADP
ejpam-5803	172	18	31	31	NUM
ejpam-5803	172	19	2.2	2.2	NUM
ejpam-5803	172	20	.	.	PUNCT
ejpam-5803	173	1	chaotic	chaotic	ADJ
ejpam-5803	173	2	and	and	CCONJ
ejpam-5803	173	3	quasi	quasi	ADJ
ejpam-5803	173	4	-	-	ADJ
ejpam-5803	173	5	periodic	periodic	ADJ
ejpam-5803	173	6	dynamics	dynamic	NOUN
ejpam-5803	173	7	to	to	PART
ejpam-5803	173	8	investigate	investigate	VERB
ejpam-5803	173	9	the	the	DET
ejpam-5803	173	10	chaotic	chaotic	ADJ
ejpam-5803	173	11	dynamics	dynamic	NOUN
ejpam-5803	173	12	,	,	PUNCT
ejpam-5803	173	13	a	a	DET
ejpam-5803	173	14	perturbation	perturbation	NOUN
ejpam-5803	173	15	term	term	NOUN
ejpam-5803	173	16	of	of	ADP
ejpam-5803	173	17	the	the	DET
ejpam-5803	173	18	form	form	NOUN
ejpam-5803	173	19	z	z	NOUN
ejpam-5803	173	20	cos(υt	cos(υt	NUM
ejpam-5803	173	21	)	)	PUNCT
ejpam-5803	173	22	is	be	AUX
ejpam-5803	173	23	introduced	introduce	VERB
ejpam-5803	173	24	into	into	ADP
ejpam-5803	173	25	the	the	DET
ejpam-5803	173	26	system	system	NOUN
ejpam-5803	173	27	,	,	PUNCT
ejpam-5803	173	28	yielding	yield	VERB
ejpam-5803	173	29	the	the	DET
ejpam-5803	173	30	modified	modified	ADJ
ejpam-5803	173	31	equations:	equations:	NOUN
ejpam-5803	173	32	dψ	dψ	NOUN
ejpam-5803	173	33	dt	dt	NOUN
ejpam-5803	173	34	=	=	SYM
ejpam-5803	173	35	υ	υ	PROPN
ejpam-5803	173	36	,	,	PUNCT
ejpam-5803	173	37	dυ	dυ	NOUN
ejpam-5803	173	38	dt	dt	NOUN
ejpam-5803	174	1	=	=	PUNCT
ejpam-5803	174	2	−ζ1	−ζ1	PROPN
ejpam-5803	174	3	ψ	ψ	NOUN
ejpam-5803	174	4	3	3	NUM
ejpam-5803	174	5	+	+	SYM
ejpam-5803	174	6	ψ	ψ	NOUN
ejpam-5803	174	7	ζ2	ζ2	NOUN
ejpam-5803	174	8	+	+	CCONJ
ejpam-5803	174	9	z	z	NOUN
ejpam-5803	174	10	cos(υt	cos(υt	NUM
ejpam-5803	174	11	)	)	PUNCT
ejpam-5803	174	12	.	.	PUNCT
ejpam-5803	175	1	(	(	PUNCT
ejpam-5803	175	2	16	16	NUM
ejpam-5803	175	3	)	)	PUNCT
ejpam-5803	175	4	here	here	ADV
ejpam-5803	175	5	,	,	PUNCT
ejpam-5803	175	6	z	z	PROPN
ejpam-5803	175	7	denotes	denote	VERB
ejpam-5803	175	8	the	the	DET
ejpam-5803	175	9	amplitude	amplitude	NOUN
ejpam-5803	175	10	of	of	ADP
ejpam-5803	175	11	the	the	DET
ejpam-5803	175	12	perturbation	perturbation	NOUN
ejpam-5803	175	13	,	,	PUNCT
ejpam-5803	175	14	and	and	CCONJ
ejpam-5803	175	15	υ	υ	NOUN
ejpam-5803	175	16	represents	represent	VERB
ejpam-5803	175	17	its	its	PRON
ejpam-5803	175	18	frequency	frequency	NOUN
ejpam-5803	175	19	.	.	PUNCT
ejpam-5803	176	1	simulations	simulation	NOUN
ejpam-5803	176	2	indicate	indicate	VERB
ejpam-5803	176	3	that	that	SCONJ
ejpam-5803	176	4	small	small	ADJ
ejpam-5803	176	5	perturbations	perturbation	NOUN
ejpam-5803	176	6	can	can	AUX
ejpam-5803	176	7	lead	lead	VERB
ejpam-5803	176	8	to	to	ADP
ejpam-5803	176	9	quasi	quasi	ADJ
ejpam-5803	176	10	-	-	NOUN
ejpam-5803	176	11	periodic	periodic	ADJ
ejpam-5803	176	12	and	and	CCONJ
ejpam-5803	176	13	chaotic	chaotic	ADJ
ejpam-5803	176	14	behaviors	behavior	NOUN
ejpam-5803	176	15	,	,	PUNCT
ejpam-5803	176	16	as	as	SCONJ
ejpam-5803	176	17	illustrated	illustrate	VERB
ejpam-5803	176	18	in	in	ADP
ejpam-5803	176	19	figure	figure	NOUN
ejpam-5803	176	20	2	2	NUM
ejpam-5803	176	21	.	.	NOUN
ejpam-5803	176	22	2.3	2.3	NUM
ejpam-5803	176	23	.	.	PUNCT
ejpam-5803	177	1	sensitivity	sensitivity	NOUN
ejpam-5803	177	2	analysis	analysis	NOUN
ejpam-5803	177	3	the	the	DET
ejpam-5803	177	4	sensitivity	sensitivity	NOUN
ejpam-5803	177	5	of	of	ADP
ejpam-5803	177	6	the	the	DET
ejpam-5803	177	7	system	system	NOUN
ejpam-5803	177	8	to	to	ADP
ejpam-5803	177	9	variations	variation	NOUN
ejpam-5803	177	10	in	in	ADP
ejpam-5803	177	11	initial	initial	ADJ
ejpam-5803	177	12	conditions	condition	NOUN
ejpam-5803	177	13	and	and	CCONJ
ejpam-5803	177	14	parameters	parameter	NOUN
ejpam-5803	177	15	is	be	AUX
ejpam-5803	177	16	analyzed	analyze	VERB
ejpam-5803	177	17	using	use	VERB
ejpam-5803	177	18	numerical	numerical	ADJ
ejpam-5803	177	19	simulations	simulation	NOUN
ejpam-5803	177	20	.	.	PUNCT
ejpam-5803	178	1	the	the	DET
ejpam-5803	178	2	results	result	NOUN
ejpam-5803	178	3	,	,	PUNCT
ejpam-5803	178	4	depicted	depict	VERB
ejpam-5803	178	5	in	in	ADP
ejpam-5803	178	6	figures	figure	NOUN
ejpam-5803	178	7	3	3	NUM
ejpam-5803	178	8	and	and	CCONJ
ejpam-5803	178	9	4	4	NUM
ejpam-5803	178	10	,	,	PUNCT
ejpam-5803	178	11	demonstrate	demonstrate	VERB
ejpam-5803	178	12	the	the	DET
ejpam-5803	178	13	profound	profound	ADJ
ejpam-5803	178	14	impact	impact	NOUN
ejpam-5803	178	15	of	of	ADP
ejpam-5803	178	16	small	small	ADJ
ejpam-5803	178	17	changes	change	NOUN
ejpam-5803	178	18	in	in	ADP
ejpam-5803	178	19	these	these	DET
ejpam-5803	178	20	factors	factor	NOUN
ejpam-5803	178	21	on	on	ADP
ejpam-5803	178	22	the	the	DET
ejpam-5803	178	23	system	system	NOUN
ejpam-5803	178	24	’s	’s	PART
ejpam-5803	178	25	trajectory	trajectory	NOUN
ejpam-5803	178	26	,	,	PUNCT
ejpam-5803	178	27	underscoring	underscore	VERB
ejpam-5803	178	28	its	its	PRON
ejpam-5803	178	29	sensitivity	sensitivity	NOUN
ejpam-5803	178	30	and	and	CCONJ
ejpam-5803	178	31	complexity	complexity	NOUN
ejpam-5803	178	32	.	.	PUNCT
ejpam-5803	179	1	3	3	X
ejpam-5803	179	2	.	.	X
ejpam-5803	179	3	exploring	explore	VERB
ejpam-5803	179	4	waveform	waveform	NOUN
ejpam-5803	179	5	evolution	evolution	NOUN
ejpam-5803	179	6	and	and	CCONJ
ejpam-5803	179	7	behavior	behavior	NOUN
ejpam-5803	179	8	building	build	VERB
ejpam-5803	179	9	upon	upon	SCONJ
ejpam-5803	179	10	the	the	DET
ejpam-5803	179	11	outlined	outline	VERB
ejpam-5803	179	12	methodologies	methodology	NOUN
ejpam-5803	179	13	,	,	PUNCT
ejpam-5803	179	14	this	this	DET
ejpam-5803	179	15	section	section	NOUN
ejpam-5803	179	16	delves	delve	VERB
ejpam-5803	179	17	into	into	ADP
ejpam-5803	179	18	deriving	derive	VERB
ejpam-5803	179	19	analytical	analytical	ADJ
ejpam-5803	179	20	solutions	solution	NOUN
ejpam-5803	179	21	for	for	ADP
ejpam-5803	179	22	the	the	DET
ejpam-5803	179	23	investigated	investigated	ADJ
ejpam-5803	179	24	model	model	NOUN
ejpam-5803	179	25	.	.	PUNCT
ejpam-5803	180	1	by	by	ADP
ejpam-5803	180	2	employing	employ	VERB
ejpam-5803	180	3	the	the	DET
ejpam-5803	180	4	proposed	propose	VERB
ejpam-5803	180	5	analytical	analytical	ADJ
ejpam-5803	180	6	schemes	scheme	NOUN
ejpam-5803	180	7	,	,	PUNCT
ejpam-5803	180	8	we	we	PRON
ejpam-5803	180	9	thoroughly	thoroughly	ADV
ejpam-5803	180	10	examine	examine	VERB
ejpam-5803	180	11	and	and	CCONJ
ejpam-5803	180	12	construct	construct	VERB
ejpam-5803	180	13	relevant	relevant	ADJ
ejpam-5803	180	14	solution	solution	NOUN
ejpam-5803	180	15	structures	structure	NOUN
ejpam-5803	180	16	,	,	PUNCT
ejpam-5803	180	17	offering	offer	VERB
ejpam-5803	180	18	deeper	deep	ADJ
ejpam-5803	180	19	insights	insight	NOUN
ejpam-5803	180	20	into	into	ADP
ejpam-5803	180	21	the	the	DET
ejpam-5803	180	22	model	model	NOUN
ejpam-5803	180	23	’s	’s	PART
ejpam-5803	180	24	underlying	underlying	ADJ
ejpam-5803	180	25	dynamics	dynamic	NOUN
ejpam-5803	180	26	and	and	CCONJ
ejpam-5803	180	27	behaviors	behavior	NOUN
ejpam-5803	180	28	.	.	PUNCT
ejpam-5803	181	1	3.1	3.1	NUM
ejpam-5803	181	2	.	.	PUNCT
ejpam-5803	181	3	solitary	solitary	ADJ
ejpam-5803	181	4	wave	wave	NOUN
ejpam-5803	181	5	computations	computation	NOUN
ejpam-5803	181	6	via	via	ADP
ejpam-5803	181	7	khat	khat	PROPN
ejpam-5803	181	8	ii	ii	PROPN
ejpam-5803	181	9	method	method	NOUN
ejpam-5803	181	10	using	use	VERB
ejpam-5803	181	11	the	the	DET
ejpam-5803	181	12	analytical	analytical	ADJ
ejpam-5803	181	13	scheme	scheme	NOUN
ejpam-5803	181	14	outlined	outline	VERB
ejpam-5803	181	15	previously	previously	ADV
ejpam-5803	181	16	,	,	PUNCT
ejpam-5803	181	17	the	the	DET
ejpam-5803	181	18	solutions	solution	NOUN
ejpam-5803	181	19	to	to	ADP
ejpam-5803	181	20	eq	eq	PROPN
ejpam-5803	181	21	.	.	PUNCT
ejpam-5803	182	1	(	(	PUNCT
ejpam-5803	182	2	5	5	NUM
ejpam-5803	182	3	)	)	PUNCT
ejpam-5803	182	4	,	,	PUNCT
ejpam-5803	182	5	in	in	ADP
ejpam-5803	182	6	conjunction	conjunction	NOUN
ejpam-5803	182	7	with	with	ADP
ejpam-5803	182	8	eqs	eqs	PROPN
ejpam-5803	182	9	.	.	PUNCT
ejpam-5803	183	1	(	(	PUNCT
ejpam-5803	183	2	6	6	NUM
ejpam-5803	183	3	)	)	PUNCT
ejpam-5803	183	4	and	and	CCONJ
ejpam-5803	183	5	(	(	PUNCT
ejpam-5803	183	6	7	7	NUM
ejpam-5803	183	7	)	)	PUNCT
ejpam-5803	183	8	,	,	PUNCT
ejpam-5803	183	9	yield	yield	VERB
ejpam-5803	183	10	the	the	DET
ejpam-5803	183	11	following	follow	VERB
ejpam-5803	183	12	parameter	parameter	NOUN
ejpam-5803	183	13	values	value	NOUN
ejpam-5803	183	14	:	:	PUNCT
ejpam-5803	183	15	case	case	NOUN
ejpam-5803	184	1	i	i	PRON
ejpam-5803	184	2	a0	a0	PROPN
ejpam-5803	184	3	→	→	SYM
ejpam-5803	184	4	0	0	PROPN
ejpam-5803	184	5	,	,	PUNCT
ejpam-5803	184	6	a1	a1	NOUN
ejpam-5803	184	7	→	→	SYM
ejpam-5803	184	8	1√	1√	PROPN
ejpam-5803	184	9	δ	δ	PROPN
ejpam-5803	184	10	√	√	PROPN
ejpam-5803	184	11	ζ1	ζ1	PROPN
ejpam-5803	184	12	,	,	PUNCT
ejpam-5803	184	13	b1	b1	NOUN
ejpam-5803	184	14	→	→	SYM
ejpam-5803	184	15	0	0	NUM
ejpam-5803	184	16	,	,	PUNCT
ejpam-5803	184	17	ζ2	ζ2	NOUN
ejpam-5803	184	18	→	→	SYM
ejpam-5803	184	19	−	−	PROPN
ejpam-5803	184	20	1	1	NUM
ejpam-5803	184	21	2δ	2δ	NUM
ejpam-5803	184	22	.	.	PUNCT
ejpam-5803	185	1	case	case	NOUN
ejpam-5803	185	2	ii	ii	PROPN
ejpam-5803	185	3	a0	a0	PROPN
ejpam-5803	185	4	→	→	SYM
ejpam-5803	185	5	0	0	PROPN
ejpam-5803	185	6	,	,	PUNCT
ejpam-5803	185	7	a1	a1	NOUN
ejpam-5803	185	8	→	→	SYM
ejpam-5803	185	9	1√	1√	PROPN
ejpam-5803	185	10	δ	δ	PROPN
ejpam-5803	185	11	√	√	PROPN
ejpam-5803	185	12	ζ1	ζ1	PROPN
ejpam-5803	185	13	,	,	PUNCT
ejpam-5803	185	14	b1	b1	NOUN
ejpam-5803	185	15	→	→	SYM
ejpam-5803	185	16	1√	1√	PROPN
ejpam-5803	185	17	ζ1	ζ1	NOUN
ejpam-5803	185	18	,	,	PUNCT
ejpam-5803	185	19	ζ2	ζ2	NOUN
ejpam-5803	185	20	→	→	SYM
ejpam-5803	185	21	−2	−2	PROPN
ejpam-5803	185	22	δ	δ	NOUN
ejpam-5803	185	23	.	.	PUNCT
ejpam-5803	186	1	case	case	NOUN
ejpam-5803	186	2	iii	iii	X
ejpam-5803	186	3	a0	a0	PROPN
ejpam-5803	186	4	→	→	SYM
ejpam-5803	186	5	0	0	PROPN
ejpam-5803	186	6	,	,	PUNCT
ejpam-5803	186	7	a1	a1	NOUN
ejpam-5803	186	8	→	→	SYM
ejpam-5803	186	9	0	0	NUM
ejpam-5803	186	10	,	,	PUNCT
ejpam-5803	186	11	b1	b1	NOUN
ejpam-5803	186	12	→	→	SYM
ejpam-5803	186	13	i	i	PRON
ejpam-5803	186	14	√	√	NOUN
ejpam-5803	186	15	2√	2√	NUM
ejpam-5803	186	16	ζ1	ζ1	NOUN
ejpam-5803	186	17	,	,	PUNCT
ejpam-5803	187	1	ζ2	ζ2	NOUN
ejpam-5803	187	2	→	→	SYM
ejpam-5803	187	3	1	1	NUM
ejpam-5803	187	4	δ	δ	NOUN
ejpam-5803	187	5	.	.	PUNCT
ejpam-5803	188	1	m.	m.	NOUN
ejpam-5803	188	2	m.	m.	NOUN
ejpam-5803	188	3	a.	a.	NOUN
ejpam-5803	188	4	khater	khater	PROPN
ejpam-5803	188	5	/	/	SYM
ejpam-5803	188	6	eur	eur	PROPN
ejpam-5803	188	7	.	.	PUNCT
ejpam-5803	189	1	j.	j.	PROPN
ejpam-5803	189	2	pure	pure	PROPN
ejpam-5803	189	3	appl	appl	PROPN
ejpam-5803	189	4	.	.	PROPN
ejpam-5803	189	5	math	math	PROPN
ejpam-5803	189	6	,	,	PUNCT
ejpam-5803	189	7	18	18	NUM
ejpam-5803	189	8	(	(	PUNCT
ejpam-5803	189	9	4	4	NUM
ejpam-5803	189	10	)	)	PUNCT
ejpam-5803	189	11	(	(	PUNCT
ejpam-5803	189	12	2025	2025	NUM
ejpam-5803	189	13	)	)	PUNCT
ejpam-5803	189	14	,	,	PUNCT
ejpam-5803	189	15	5803	5803	NUM
ejpam-5803	189	16	12	12	NUM
ejpam-5803	189	17	of	of	ADP
ejpam-5803	189	18	31	31	NUM
ejpam-5803	189	19	as	as	ADP
ejpam-5803	189	20	a	a	DET
ejpam-5803	189	21	result	result	NOUN
ejpam-5803	189	22	,	,	PUNCT
ejpam-5803	189	23	the	the	DET
ejpam-5803	189	24	expressions	expression	NOUN
ejpam-5803	189	25	defining	define	VERB
ejpam-5803	189	26	the	the	DET
ejpam-5803	189	27	traveling	travel	VERB
ejpam-5803	189	28	wave	wave	NOUN
ejpam-5803	189	29	solutions	solution	NOUN
ejpam-5803	189	30	of	of	ADP
ejpam-5803	189	31	the	the	DET
ejpam-5803	189	32	examined	examine	VERB
ejpam-5803	189	33	model	model	NOUN
ejpam-5803	189	34	,	,	PUNCT
ejpam-5803	189	35	for	for	ADP
ejpam-5803	189	36	δ	δ	PROPN
ejpam-5803	189	37	̸=	̸=	PROPN
ejpam-5803	189	38	0	0	NUM
ejpam-5803	189	39	,	,	PUNCT
ejpam-5803	189	40	are	be	AUX
ejpam-5803	189	41	provided	provide	VERB
ejpam-5803	189	42	as	as	SCONJ
ejpam-5803	189	43	follows	follow	VERB
ejpam-5803	189	44	:	:	PUNCT
ejpam-5803	189	45	ui(x	ui(x	ADJ
ejpam-5803	189	46	,	,	PUNCT
ejpam-5803	189	47	t	t	PROPN
ejpam-5803	189	48	)	)	PUNCT
ejpam-5803	190	1	=	=	NOUN
ejpam-5803	190	2	−	−	PROPN
ejpam-5803	190	3	e	e	X
ejpam-5803	190	4	i	i	PRON
ejpam-5803	190	5	(	(	PUNCT
ejpam-5803	190	6	κγ(ς+1	κγ(ς+1	NOUN
ejpam-5803	190	7	)	)	PUNCT
ejpam-5803	190	8	tε	tε	ADP
ejpam-5803	190	9	ε	ε	PROPN
ejpam-5803	191	1	+	+	NOUN
ejpam-5803	191	2	x	x	X
ejpam-5803	191	3	)	)	PUNCT
ejpam-5803	191	4	√	√	PROPN
ejpam-5803	191	5	ζ1	ζ1	PROPN
ejpam-5803	191	6	tan	tan	PROPN
ejpam-5803	191	7	(	(	PUNCT
ejpam-5803	191	8	√	√	PROPN
ejpam-5803	191	9	δ	δ	PROPN
ejpam-5803	191	10	(	(	PUNCT
ejpam-5803	191	11	λγ(ς	λγ(ς	X
ejpam-5803	191	12	+	+	NOUN
ejpam-5803	191	13	1	1	X
ejpam-5803	191	14	)	)	PUNCT
ejpam-5803	191	15	tε	tε	NOUN
ejpam-5803	191	16	ε	ε	PROPN
ejpam-5803	191	17	+	+	CCONJ
ejpam-5803	191	18	x	x	X
ejpam-5803	191	19	)	)	PUNCT
ejpam-5803	191	20	)	)	PUNCT
ejpam-5803	191	21	,	,	PUNCT
ejpam-5803	191	22	(	(	PUNCT
ejpam-5803	191	23	17	17	NUM
ejpam-5803	191	24	)	)	PUNCT
ejpam-5803	191	25	ui(x	ui(x	PROPN
ejpam-5803	191	26	,	,	PUNCT
ejpam-5803	191	27	t	t	PROPN
ejpam-5803	191	28	)	)	PUNCT
ejpam-5803	192	1	=	=	PUNCT
ejpam-5803	193	1	e	e	X
ejpam-5803	193	2	i	i	PRON
ejpam-5803	193	3	(	(	PUNCT
ejpam-5803	193	4	κγ(ς+1	κγ(ς+1	NOUN
ejpam-5803	193	5	)	)	PUNCT
ejpam-5803	193	6	tε	tε	ADP
ejpam-5803	193	7	ε	ε	PROPN
ejpam-5803	194	1	+	+	NOUN
ejpam-5803	194	2	x	x	X
ejpam-5803	194	3	)	)	PUNCT
ejpam-5803	194	4	√	√	PROPN
ejpam-5803	195	1	ζ1	ζ1	NOUN
ejpam-5803	195	2	cot	cot	NOUN
ejpam-5803	195	3	(	(	PUNCT
ejpam-5803	195	4	√	√	PROPN
ejpam-5803	195	5	δ	δ	PROPN
ejpam-5803	195	6	(	(	PUNCT
ejpam-5803	195	7	λγ(ς	λγ(ς	X
ejpam-5803	195	8	+	+	NOUN
ejpam-5803	195	9	1	1	X
ejpam-5803	195	10	)	)	PUNCT
ejpam-5803	195	11	tε	tε	NOUN
ejpam-5803	195	12	ε	ε	PROPN
ejpam-5803	195	13	+	+	CCONJ
ejpam-5803	195	14	x	x	X
ejpam-5803	195	15	)	)	PUNCT
ejpam-5803	195	16	)	)	PUNCT
ejpam-5803	195	17	.	.	PUNCT
ejpam-5803	196	1	(	(	PUNCT
ejpam-5803	196	2	18	18	NUM
ejpam-5803	196	3	)	)	PUNCT
ejpam-5803	196	4	uii(x	uii(x	PROPN
ejpam-5803	196	5	,	,	PUNCT
ejpam-5803	196	6	t	t	PROPN
ejpam-5803	196	7	)	)	PUNCT
ejpam-5803	197	1	=	=	NOUN
ejpam-5803	197	2	b1e	b1e	X
ejpam-5803	197	3	i	i	PRON
ejpam-5803	197	4	(	(	PUNCT
ejpam-5803	197	5	x−	x−	PROPN
ejpam-5803	197	6	2b21qγ(ς+1	2b21qγ(ς+1	PROPN
ejpam-5803	197	7	)	)	PUNCT
ejpam-5803	197	8	tε	tε	NUM
ejpam-5803	197	9	ε	ε	PROPN
ejpam-5803	197	10	)	)	PUNCT
ejpam-5803	197	11	(	(	PUNCT
ejpam-5803	197	12	sec	sec	PROPN
ejpam-5803	197	13	(	(	PUNCT
ejpam-5803	197	14	√	√	PROPN
ejpam-5803	197	15	δ	δ	PROPN
ejpam-5803	197	16	(	(	PUNCT
ejpam-5803	197	17	λγ(ς	λγ(ς	X
ejpam-5803	197	18	+	+	NOUN
ejpam-5803	197	19	1	1	X
ejpam-5803	197	20	)	)	PUNCT
ejpam-5803	197	21	tε	tε	NOUN
ejpam-5803	197	22	ε	ε	PROPN
ejpam-5803	197	23	+	+	CCONJ
ejpam-5803	197	24	x	x	X
ejpam-5803	197	25	)	)	PUNCT
ejpam-5803	197	26	)	)	PUNCT
ejpam-5803	198	1	−	−	PROPN
ejpam-5803	198	2	tan	tan	PROPN
ejpam-5803	198	3	(	(	PUNCT
ejpam-5803	198	4	√	√	PROPN
ejpam-5803	198	5	δ	δ	PROPN
ejpam-5803	198	6	(	(	PUNCT
ejpam-5803	198	7	λγ(ς	λγ(ς	X
ejpam-5803	198	8	+	+	NOUN
ejpam-5803	198	9	1	1	X
ejpam-5803	198	10	)	)	PUNCT
ejpam-5803	198	11	tε	tε	NOUN
ejpam-5803	198	12	ε	ε	PROPN
ejpam-5803	198	13	+	+	CCONJ
ejpam-5803	198	14	x	x	NOUN
ejpam-5803	198	15	)	)	PUNCT
ejpam-5803	198	16	)	)	PUNCT
ejpam-5803	198	17	)	)	PUNCT
ejpam-5803	198	18	,	,	PUNCT
ejpam-5803	198	19	(	(	PUNCT
ejpam-5803	198	20	19	19	NUM
ejpam-5803	198	21	)	)	PUNCT
ejpam-5803	198	22	uii(x	uii(x	PROPN
ejpam-5803	198	23	,	,	PUNCT
ejpam-5803	198	24	t	t	PROPN
ejpam-5803	198	25	)	)	PUNCT
ejpam-5803	198	26	=	=	NOUN
ejpam-5803	198	27	b1e	b1e	X
ejpam-5803	198	28	i	i	PRON
ejpam-5803	198	29	(	(	PUNCT
ejpam-5803	198	30	x−	x−	PROPN
ejpam-5803	198	31	2b21qγ(ς+1	2b21qγ(ς+1	PROPN
ejpam-5803	198	32	)	)	PUNCT
ejpam-5803	198	33	tε	tε	NUM
ejpam-5803	198	34	ε	ε	PROPN
ejpam-5803	198	35	)	)	PUNCT
ejpam-5803	198	36	cot	cot	NOUN
ejpam-5803	198	37	(	(	PUNCT
ejpam-5803	198	38	1	1	NUM
ejpam-5803	198	39	2	2	NUM
ejpam-5803	198	40	√	√	NUM
ejpam-5803	198	41	δ	δ	PROPN
ejpam-5803	198	42	(	(	PUNCT
ejpam-5803	198	43	λγ(ς	λγ(ς	X
ejpam-5803	198	44	+	+	NOUN
ejpam-5803	198	45	1	1	X
ejpam-5803	198	46	)	)	PUNCT
ejpam-5803	198	47	tε	tε	NOUN
ejpam-5803	198	48	ε	ε	PROPN
ejpam-5803	198	49	+	+	CCONJ
ejpam-5803	198	50	x	x	X
ejpam-5803	198	51	)	)	PUNCT
ejpam-5803	198	52	)	)	PUNCT
ejpam-5803	198	53	.	.	PUNCT
ejpam-5803	199	1	(	(	PUNCT
ejpam-5803	199	2	20	20	X
ejpam-5803	199	3	)	)	PUNCT
ejpam-5803	199	4	uiii(x	uiii(x	PROPN
ejpam-5803	199	5	,	,	PUNCT
ejpam-5803	199	6	t	t	PROPN
ejpam-5803	199	7	)	)	PUNCT
ejpam-5803	200	1	=	=	PUNCT
ejpam-5803	201	1	i	i	PRON
ejpam-5803	201	2	√	√	VERB
ejpam-5803	201	3	2e	2e	NUM
ejpam-5803	202	1	i	i	NOUN
ejpam-5803	202	2	(	(	PUNCT
ejpam-5803	202	3	κγ(ς+1	κγ(ς+1	NOUN
ejpam-5803	202	4	)	)	PUNCT
ejpam-5803	202	5	tε	tε	ADP
ejpam-5803	202	6	ε	ε	PROPN
ejpam-5803	202	7	+	+	NOUN
ejpam-5803	202	8	x	x	X
ejpam-5803	202	9	)	)	PUNCT
ejpam-5803	202	10	√	√	PROPN
ejpam-5803	202	11	ζ1	ζ1	PROPN
ejpam-5803	202	12	sec	sec	PROPN
ejpam-5803	202	13	(	(	PUNCT
ejpam-5803	202	14	√	√	PROPN
ejpam-5803	202	15	δ	δ	PROPN
ejpam-5803	202	16	(	(	PUNCT
ejpam-5803	202	17	λγ(ς	λγ(ς	X
ejpam-5803	202	18	+	+	NOUN
ejpam-5803	202	19	1	1	X
ejpam-5803	202	20	)	)	PUNCT
ejpam-5803	202	21	tε	tε	NOUN
ejpam-5803	202	22	ε	ε	PROPN
ejpam-5803	202	23	+	+	CCONJ
ejpam-5803	202	24	x	x	X
ejpam-5803	202	25	)	)	PUNCT
ejpam-5803	202	26	)	)	PUNCT
ejpam-5803	202	27	,	,	PUNCT
ejpam-5803	202	28	(	(	PUNCT
ejpam-5803	202	29	21	21	X
ejpam-5803	202	30	)	)	PUNCT
ejpam-5803	202	31	uiii(x	uiii(x	PROPN
ejpam-5803	202	32	,	,	PUNCT
ejpam-5803	202	33	t	t	PROPN
ejpam-5803	202	34	)	)	PUNCT
ejpam-5803	202	35	=	=	PUNCT
ejpam-5803	203	1	i	i	PRON
ejpam-5803	203	2	√	√	VERB
ejpam-5803	203	3	2e	2e	NUM
ejpam-5803	204	1	i	i	NOUN
ejpam-5803	204	2	(	(	PUNCT
ejpam-5803	204	3	κγ(ς+1	κγ(ς+1	NOUN
ejpam-5803	204	4	)	)	PUNCT
ejpam-5803	204	5	tε	tε	ADP
ejpam-5803	204	6	ε	ε	PROPN
ejpam-5803	204	7	+	+	NOUN
ejpam-5803	204	8	x	x	X
ejpam-5803	204	9	)	)	PUNCT
ejpam-5803	204	10	√	√	PROPN
ejpam-5803	204	11	ζ1	ζ1	PROPN
ejpam-5803	204	12	csc	csc	PROPN
ejpam-5803	204	13	(	(	PUNCT
ejpam-5803	204	14	√	√	PROPN
ejpam-5803	204	15	δ	δ	PROPN
ejpam-5803	204	16	(	(	PUNCT
ejpam-5803	204	17	λγ(ς	λγ(ς	X
ejpam-5803	204	18	+	+	NOUN
ejpam-5803	204	19	1	1	X
ejpam-5803	204	20	)	)	PUNCT
ejpam-5803	204	21	tε	tε	NOUN
ejpam-5803	204	22	ε	ε	PROPN
ejpam-5803	204	23	+	+	CCONJ
ejpam-5803	204	24	x	x	X
ejpam-5803	204	25	)	)	PUNCT
ejpam-5803	204	26	)	)	PUNCT
ejpam-5803	204	27	.	.	PUNCT
ejpam-5803	205	1	(	(	PUNCT
ejpam-5803	205	2	22	22	NUM
ejpam-5803	205	3	)	)	PUNCT
ejpam-5803	205	4	3.2	3.2	NUM
ejpam-5803	205	5	.	.	PUNCT
ejpam-5803	206	1	solitary	solitary	ADJ
ejpam-5803	206	2	wave	wave	NOUN
ejpam-5803	206	3	computations	computation	NOUN
ejpam-5803	206	4	via	via	ADP
ejpam-5803	206	5	ekud	ekud	NOUN
ejpam-5803	206	6	method	method	NOUN
ejpam-5803	206	7	applying	apply	VERB
ejpam-5803	206	8	the	the	DET
ejpam-5803	206	9	previously	previously	ADV
ejpam-5803	206	10	outlined	outline	VERB
ejpam-5803	206	11	analytical	analytical	ADJ
ejpam-5803	206	12	scheme	scheme	NOUN
ejpam-5803	206	13	,	,	PUNCT
ejpam-5803	206	14	the	the	DET
ejpam-5803	206	15	solutions	solution	NOUN
ejpam-5803	206	16	to	to	ADP
ejpam-5803	206	17	eq	eq	PROPN
ejpam-5803	206	18	.	.	PUNCT
ejpam-5803	207	1	(	(	PUNCT
ejpam-5803	207	2	5	5	NUM
ejpam-5803	207	3	)	)	PUNCT
ejpam-5803	207	4	,	,	PUNCT
ejpam-5803	207	5	in	in	ADP
ejpam-5803	207	6	conjunction	conjunction	NOUN
ejpam-5803	207	7	with	with	ADP
ejpam-5803	207	8	eqs	eqs	PROPN
ejpam-5803	207	9	.	.	PUNCT
ejpam-5803	208	1	(	(	PUNCT
ejpam-5803	208	2	6	6	NUM
ejpam-5803	208	3	)	)	PUNCT
ejpam-5803	208	4	and	and	CCONJ
ejpam-5803	208	5	(	(	PUNCT
ejpam-5803	208	6	7	7	NUM
ejpam-5803	208	7	)	)	PUNCT
ejpam-5803	208	8	,	,	PUNCT
ejpam-5803	208	9	yield	yield	VERB
ejpam-5803	208	10	the	the	DET
ejpam-5803	208	11	following	follow	VERB
ejpam-5803	208	12	specified	specify	VERB
ejpam-5803	208	13	parameter	parameter	NOUN
ejpam-5803	208	14	values	value	NOUN
ejpam-5803	208	15	:	:	PUNCT
ejpam-5803	209	1	family	family	NOUN
ejpam-5803	209	2	i	i	PRON
ejpam-5803	209	3	:	:	PUNCT
ejpam-5803	209	4	a0	a0	PROPN
ejpam-5803	209	5	→	→	SYM
ejpam-5803	209	6	0	0	PROPN
ejpam-5803	209	7	,	,	PUNCT
ejpam-5803	209	8	a1	a1	NOUN
ejpam-5803	209	9	→	→	SYM
ejpam-5803	209	10	i	i	NOUN
ejpam-5803	209	11	√	√	ADV
ejpam-5803	209	12	2	2	NUM
ejpam-5803	209	13	√	√	PROPN
ejpam-5803	209	14	τ√	τ√	PUNCT
ejpam-5803	209	15	ζ1	ζ1	PROPN
ejpam-5803	209	16	,	,	PUNCT
ejpam-5803	209	17	b1	b1	NOUN
ejpam-5803	209	18	→	→	SYM
ejpam-5803	209	19	0	0	NUM
ejpam-5803	209	20	,	,	PUNCT
ejpam-5803	209	21	ζ2	ζ2	NOUN
ejpam-5803	209	22	→	→	SYM
ejpam-5803	209	23	−1	−1	NOUN
ejpam-5803	209	24	.	.	PUNCT
ejpam-5803	210	1	family	family	PROPN
ejpam-5803	210	2	ii	ii	PROPN
ejpam-5803	210	3	:	:	PUNCT
ejpam-5803	210	4	a0	a0	PROPN
ejpam-5803	210	5	→	→	SYM
ejpam-5803	210	6	0	0	PROPN
ejpam-5803	210	7	,	,	PUNCT
ejpam-5803	210	8	a1	a1	NOUN
ejpam-5803	210	9	→	→	SYM
ejpam-5803	210	10	√	√	PROPN
ejpam-5803	210	11	τ√	τ√	SYM
ejpam-5803	210	12	ζ1	ζ1	PROPN
ejpam-5803	210	13	,	,	PUNCT
ejpam-5803	210	14	b1	b1	NOUN
ejpam-5803	210	15	→	→	SYM
ejpam-5803	210	16	i√	i√	ADJ
ejpam-5803	210	17	ζ1	ζ1	NOUN
ejpam-5803	210	18	,	,	PUNCT
ejpam-5803	210	19	ζ2	ζ2	NOUN
ejpam-5803	210	20	→	→	SYM
ejpam-5803	210	21	2	2	NUM
ejpam-5803	210	22	.	.	PUNCT
ejpam-5803	210	23	family	family	NOUN
ejpam-5803	210	24	iii	iii	PROPN
ejpam-5803	210	25	:	:	PUNCT
ejpam-5803	210	26	a0	a0	PROPN
ejpam-5803	210	27	→	→	SYM
ejpam-5803	210	28	0	0	PROPN
ejpam-5803	210	29	,	,	PUNCT
ejpam-5803	210	30	a1	a1	NOUN
ejpam-5803	210	31	→	→	SYM
ejpam-5803	210	32	0	0	NUM
ejpam-5803	210	33	,	,	PUNCT
ejpam-5803	210	34	ζ1	ζ1	PROPN
ejpam-5803	210	35	→	→	SYM
ejpam-5803	210	36	−	−	PROPN
ejpam-5803	210	37	1	1	NUM
ejpam-5803	210	38	b21	b21	NOUN
ejpam-5803	210	39	,	,	PUNCT
ejpam-5803	210	40	ζ2	ζ2	NOUN
ejpam-5803	210	41	→	→	SYM
ejpam-5803	210	42	1	1	NUM
ejpam-5803	210	43	2	2	NUM
ejpam-5803	210	44	.	.	PUNCT
ejpam-5803	211	1	m.	m.	NOUN
ejpam-5803	211	2	m.	m.	NOUN
ejpam-5803	211	3	a.	a.	NOUN
ejpam-5803	211	4	khater	khater	PROPN
ejpam-5803	211	5	/	/	SYM
ejpam-5803	211	6	eur	eur	PROPN
ejpam-5803	211	7	.	.	PUNCT
ejpam-5803	212	1	j.	j.	PROPN
ejpam-5803	212	2	pure	pure	PROPN
ejpam-5803	212	3	appl	appl	PROPN
ejpam-5803	212	4	.	.	PROPN
ejpam-5803	212	5	math	math	PROPN
ejpam-5803	212	6	,	,	PUNCT
ejpam-5803	212	7	18	18	NUM
ejpam-5803	212	8	(	(	PUNCT
ejpam-5803	212	9	4	4	NUM
ejpam-5803	212	10	)	)	PUNCT
ejpam-5803	212	11	(	(	PUNCT
ejpam-5803	212	12	2025	2025	NUM
ejpam-5803	212	13	)	)	PUNCT
ejpam-5803	212	14	,	,	PUNCT
ejpam-5803	212	15	5803	5803	NUM
ejpam-5803	212	16	13	13	NUM
ejpam-5803	212	17	of	of	ADP
ejpam-5803	212	18	31	31	NUM
ejpam-5803	212	19	accordingly	accordingly	ADV
ejpam-5803	212	20	,	,	PUNCT
ejpam-5803	212	21	the	the	DET
ejpam-5803	212	22	expressions	expression	NOUN
ejpam-5803	212	23	that	that	PRON
ejpam-5803	212	24	characterize	characterize	VERB
ejpam-5803	212	25	the	the	DET
ejpam-5803	212	26	traveling	travel	VERB
ejpam-5803	212	27	wave	wave	NOUN
ejpam-5803	212	28	solutions	solution	NOUN
ejpam-5803	212	29	of	of	ADP
ejpam-5803	212	30	the	the	DET
ejpam-5803	212	31	examined	examine	VERB
ejpam-5803	212	32	model	model	NOUN
ejpam-5803	212	33	are	be	AUX
ejpam-5803	212	34	as	as	SCONJ
ejpam-5803	212	35	follows	follow	VERB
ejpam-5803	212	36	:	:	PUNCT
ejpam-5803	212	37	ui(x	ui(x	ADJ
ejpam-5803	212	38	,	,	PUNCT
ejpam-5803	212	39	t	t	PROPN
ejpam-5803	212	40	)	)	PUNCT
ejpam-5803	213	1	=	=	PUNCT
ejpam-5803	214	1	i	i	PRON
ejpam-5803	214	2	√	√	VERB
ejpam-5803	214	3	2e	2e	NUM
ejpam-5803	215	1	i	i	NOUN
ejpam-5803	215	2	(	(	PUNCT
ejpam-5803	215	3	κγ(ς+1	κγ(ς+1	NOUN
ejpam-5803	215	4	)	)	PUNCT
ejpam-5803	215	5	tε	tε	ADP
ejpam-5803	215	6	ε	ε	PROPN
ejpam-5803	215	7	+	+	NOUN
ejpam-5803	215	8	x	x	X
ejpam-5803	215	9	)	)	PUNCT
ejpam-5803	215	10	√	√	PROPN
ejpam-5803	215	11	ζ1	ζ1	NOUN
ejpam-5803	215	12	√	√	NOUN
ejpam-5803	215	13	sech2	sech2	NOUN
ejpam-5803	215	14	(	(	PUNCT
ejpam-5803	215	15	λγ(ς	λγ(ς	X
ejpam-5803	215	16	+	+	NOUN
ejpam-5803	215	17	1	1	X
ejpam-5803	215	18	)	)	PUNCT
ejpam-5803	215	19	tε	tε	NOUN
ejpam-5803	215	20	ε	ε	PROPN
ejpam-5803	215	21	+	+	CCONJ
ejpam-5803	215	22	x	x	X
ejpam-5803	215	23	)	)	PUNCT
ejpam-5803	215	24	,	,	PUNCT
ejpam-5803	215	25	(	(	PUNCT
ejpam-5803	215	26	23	23	NUM
ejpam-5803	215	27	)	)	PUNCT
ejpam-5803	215	28	ui(x	ui(x	PROPN
ejpam-5803	215	29	,	,	PUNCT
ejpam-5803	215	30	t	t	PROPN
ejpam-5803	215	31	)	)	PUNCT
ejpam-5803	216	1	=	=	SYM
ejpam-5803	216	2	4i	4i	NUM
ejpam-5803	217	1	√	√	NUM
ejpam-5803	217	2	2c	2c	NUM
ejpam-5803	217	3	√	√	NOUN
ejpam-5803	217	4	τe	τe	ADP
ejpam-5803	217	5	γ(ς+1)(λ+iκ	γ(ς+1)(λ+iκ	PROPN
ejpam-5803	217	6	)	)	PUNCT
ejpam-5803	217	7	tε	tε	ADP
ejpam-5803	217	8	ε	ε	PROPN
ejpam-5803	218	1	+	+	PROPN
ejpam-5803	218	2	(	(	PUNCT
ejpam-5803	218	3	1+i)x	1+i)x	NUM
ejpam-5803	218	4	√	√	NUM
ejpam-5803	218	5	ζ1	ζ1	PROPN
ejpam-5803	218	6	(	(	PUNCT
ejpam-5803	218	7	4c2e	4c2e	NOUN
ejpam-5803	218	8	2	2	NUM
ejpam-5803	218	9	(	(	PUNCT
ejpam-5803	218	10	λγ(ς+1	λγ(ς+1	X
ejpam-5803	218	11	)	)	PUNCT
ejpam-5803	218	12	tε	tε	NOUN
ejpam-5803	218	13	ε	ε	PROPN
ejpam-5803	219	1	+	+	NOUN
ejpam-5803	219	2	x	x	X
ejpam-5803	219	3	)	)	PUNCT
ejpam-5803	220	1	+	+	CCONJ
ejpam-5803	220	2	τ	τ	X
ejpam-5803	220	3	)	)	PUNCT
ejpam-5803	220	4	.	.	PUNCT
ejpam-5803	221	1	(	(	PUNCT
ejpam-5803	221	2	24	24	NUM
ejpam-5803	221	3	)	)	PUNCT
ejpam-5803	221	4	uii(x	uii(x	PROPN
ejpam-5803	221	5	,	,	PUNCT
ejpam-5803	221	6	t	t	PROPN
ejpam-5803	221	7	)	)	PUNCT
ejpam-5803	221	8	=	=	PUNCT
ejpam-5803	222	1	e	e	X
ejpam-5803	222	2	i(κγ(ς+1	i(κγ(ς+1	NOUN
ejpam-5803	222	3	)	)	PUNCT
ejpam-5803	222	4	tε+εx	tε+εx	ADJ
ejpam-5803	222	5	)	)	PUNCT
ejpam-5803	222	6	ε	ε	PROPN
ejpam-5803	222	7	√	√	PROPN
ejpam-5803	222	8	ζ1	ζ1	PROPN
ejpam-5803	222	9	(	(	PUNCT
ejpam-5803	222	10	√	√	NUM
ejpam-5803	222	11	sech2	sech2	NOUN
ejpam-5803	222	12	(	(	PUNCT
ejpam-5803	222	13	λγ(ς	λγ(ς	X
ejpam-5803	222	14	+	+	NOUN
ejpam-5803	222	15	1	1	X
ejpam-5803	222	16	)	)	PUNCT
ejpam-5803	222	17	tε	tε	NOUN
ejpam-5803	222	18	ε	ε	PROPN
ejpam-5803	222	19	+	+	CCONJ
ejpam-5803	222	20	x	x	X
ejpam-5803	222	21	)	)	PUNCT
ejpam-5803	223	1	−	−	PROPN
ejpam-5803	224	1	i	i	PRON
ejpam-5803	224	2	tanh	tanh	VERB
ejpam-5803	224	3	(	(	PUNCT
ejpam-5803	224	4	λγ(ς	λγ(ς	X
ejpam-5803	224	5	+	+	NOUN
ejpam-5803	224	6	1	1	X
ejpam-5803	224	7	)	)	PUNCT
ejpam-5803	224	8	tε	tε	NOUN
ejpam-5803	224	9	ε	ε	PROPN
ejpam-5803	224	10	+	+	CCONJ
ejpam-5803	224	11	x	x	X
ejpam-5803	224	12	)	)	PUNCT
ejpam-5803	224	13	)	)	PUNCT
ejpam-5803	224	14	,	,	PUNCT
ejpam-5803	224	15	(	(	PUNCT
ejpam-5803	224	16	25	25	NUM
ejpam-5803	224	17	)	)	PUNCT
ejpam-5803	224	18	uii(x	uii(x	PROPN
ejpam-5803	224	19	,	,	PUNCT
ejpam-5803	224	20	t	t	PROPN
ejpam-5803	224	21	)	)	PUNCT
ejpam-5803	224	22	=	=	PUNCT
ejpam-5803	225	1	e	e	X
ejpam-5803	225	2	i(κγ(ς+1	i(κγ(ς+1	NOUN
ejpam-5803	225	3	)	)	PUNCT
ejpam-5803	225	4	tε+εx	tε+εx	ADJ
ejpam-5803	225	5	)	)	PUNCT
ejpam-5803	225	6	ε	ε	PROPN
ejpam-5803	225	7	(	(	PUNCT
ejpam-5803	225	8	√	√	PROPN
ejpam-5803	225	9	τ	τ	PROPN
ejpam-5803	225	10	−	−	PROPN
ejpam-5803	225	11	2ice	2ice	PROPN
ejpam-5803	225	12	λγ(ς+1	λγ(ς+1	SYM
ejpam-5803	225	13	)	)	PUNCT
ejpam-5803	225	14	tε	tε	ADP
ejpam-5803	225	15	ε	ε	PROPN
ejpam-5803	226	1	+	+	NOUN
ejpam-5803	226	2	x	x	X
ejpam-5803	226	3	)	)	PUNCT
ejpam-5803	226	4	√	√	PROPN
ejpam-5803	226	5	ζ1	ζ1	PROPN
ejpam-5803	226	6	(	(	PUNCT
ejpam-5803	226	7	2ce	2ce	NOUN
ejpam-5803	226	8	λγ(ς+1	λγ(ς+1	PRON
ejpam-5803	226	9	)	)	PUNCT
ejpam-5803	226	10	tε	tε	ADP
ejpam-5803	226	11	ε	ε	PROPN
ejpam-5803	227	1	+	+	NOUN
ejpam-5803	227	2	x	x	NOUN
ejpam-5803	227	3	−	−	PROPN
ejpam-5803	228	1	i	i	PRON
ejpam-5803	228	2	√	√	VERB
ejpam-5803	228	3	τ	τ	PROPN
ejpam-5803	228	4	)	)	PUNCT
ejpam-5803	228	5	.	.	PUNCT
ejpam-5803	229	1	(	(	PUNCT
ejpam-5803	229	2	26	26	X
ejpam-5803	229	3	)	)	PUNCT
ejpam-5803	229	4	uiii(x	uiii(x	PROPN
ejpam-5803	229	5	,	,	PUNCT
ejpam-5803	229	6	t	t	PROPN
ejpam-5803	229	7	)	)	PUNCT
ejpam-5803	230	1	=	=	NOUN
ejpam-5803	230	2	b1	b1	NOUN
ejpam-5803	230	3	(	(	PUNCT
ejpam-5803	230	4	−ei	−ei	PROPN
ejpam-5803	230	5	(	(	PUNCT
ejpam-5803	230	6	κγ(ς+1	κγ(ς+1	NOUN
ejpam-5803	230	7	)	)	PUNCT
ejpam-5803	230	8	tε	tε	NOUN
ejpam-5803	230	9	ε	ε	PROPN
ejpam-5803	230	10	+	+	NOUN
ejpam-5803	230	11	x	x	NOUN
ejpam-5803	230	12	)	)	PUNCT
ejpam-5803	230	13	)	)	PUNCT
ejpam-5803	230	14	tanh	tanh	PROPN
ejpam-5803	230	15	(	(	PUNCT
ejpam-5803	230	16	λγ(ς	λγ(ς	X
ejpam-5803	230	17	+	+	NOUN
ejpam-5803	230	18	1	1	X
ejpam-5803	230	19	)	)	PUNCT
ejpam-5803	230	20	tε	tε	NOUN
ejpam-5803	230	21	ε	ε	PROPN
ejpam-5803	230	22	+	+	CCONJ
ejpam-5803	230	23	x	x	X
ejpam-5803	230	24	)	)	PUNCT
ejpam-5803	230	25	,	,	PUNCT
ejpam-5803	230	26	(	(	PUNCT
ejpam-5803	230	27	27	27	X
ejpam-5803	230	28	)	)	PUNCT
ejpam-5803	230	29	uiii(x	uiii(x	PROPN
ejpam-5803	230	30	,	,	PUNCT
ejpam-5803	230	31	t	t	PROPN
ejpam-5803	230	32	)	)	PUNCT
ejpam-5803	231	1	=	=	NOUN
ejpam-5803	231	2	b1e	b1e	X
ejpam-5803	231	3	i	i	PRON
ejpam-5803	231	4	(	(	PUNCT
ejpam-5803	231	5	κγ(ς+1	κγ(ς+1	NOUN
ejpam-5803	231	6	)	)	PUNCT
ejpam-5803	231	7	tε	tε	ADP
ejpam-5803	231	8	ε	ε	PROPN
ejpam-5803	232	1	+	+	NOUN
ejpam-5803	232	2	x	x	NOUN
ejpam-5803	232	3	)	)	PUNCT
ejpam-5803	232	4	(	(	PUNCT
ejpam-5803	232	5	2τ	2τ	NUM
ejpam-5803	232	6	4c2e	4c2e	NOUN
ejpam-5803	232	7	2	2	NUM
ejpam-5803	232	8	(	(	PUNCT
ejpam-5803	232	9	λγ(ς+1	λγ(ς+1	X
ejpam-5803	232	10	)	)	PUNCT
ejpam-5803	232	11	tε	tε	NOUN
ejpam-5803	232	12	ε	ε	PROPN
ejpam-5803	232	13	+	+	NOUN
ejpam-5803	232	14	x	x	X
ejpam-5803	232	15	)	)	PUNCT
ejpam-5803	233	1	+	+	CCONJ
ejpam-5803	233	2	τ	τ	PROPN
ejpam-5803	233	3	−	−	NUM
ejpam-5803	233	4	1	1	NUM
ejpam-5803	233	5	)	)	PUNCT
ejpam-5803	233	6	.	.	PUNCT
ejpam-5803	234	1	(	(	PUNCT
ejpam-5803	234	2	28	28	NUM
ejpam-5803	234	3	)	)	PUNCT
ejpam-5803	234	4	3.3	3.3	NUM
ejpam-5803	234	5	.	.	PUNCT
ejpam-5803	235	1	numerical	numerical	ADJ
ejpam-5803	235	2	solutions	solution	NOUN
ejpam-5803	235	3	in	in	ADP
ejpam-5803	235	4	this	this	DET
ejpam-5803	235	5	section	section	NOUN
ejpam-5803	235	6	,	,	PUNCT
ejpam-5803	235	7	we	we	PRON
ejpam-5803	235	8	assess	assess	VERB
ejpam-5803	235	9	the	the	DET
ejpam-5803	235	10	accuracy	accuracy	NOUN
ejpam-5803	235	11	of	of	ADP
ejpam-5803	235	12	the	the	DET
ejpam-5803	235	13	solutions	solution	NOUN
ejpam-5803	235	14	derived	derive	VERB
ejpam-5803	235	15	in	in	ADP
ejpam-5803	235	16	eqs	eqs	PROPN
ejpam-5803	235	17	.	.	PUNCT
ejpam-5803	236	1	(	(	PUNCT
ejpam-5803	236	2	17	17	NUM
ejpam-5803	236	3	)	)	PUNCT
ejpam-5803	236	4	and	and	CCONJ
ejpam-5803	236	5	(	(	PUNCT
ejpam-5803	236	6	27	27	NUM
ejpam-5803	236	7	)	)	PUNCT
ejpam-5803	236	8	by	by	ADP
ejpam-5803	236	9	applying	apply	VERB
ejpam-5803	236	10	the	the	DET
ejpam-5803	236	11	khater	khater	NOUN
ejpam-5803	236	12	ii	ii	PROPN
ejpam-5803	236	13	and	and	CCONJ
ejpam-5803	236	14	enhanced	enhance	VERB
ejpam-5803	236	15	kudryashov	kudryashov	PROPN
ejpam-5803	236	16	(	(	PUNCT
ejpam-5803	236	17	ekud	ekud	NOUN
ejpam-5803	236	18	)	)	PUNCT
ejpam-5803	236	19	methods	method	NOUN
ejpam-5803	236	20	,	,	PUNCT
ejpam-5803	236	21	alongside	alongside	ADP
ejpam-5803	236	22	the	the	DET
ejpam-5803	236	23	adomian	adomian	NOUN
ejpam-5803	236	24	decomposition	decomposition	NOUN
ejpam-5803	236	25	scheme	scheme	NOUN
ejpam-5803	236	26	.	.	PUNCT
ejpam-5803	237	1	by	by	ADP
ejpam-5803	237	2	evaluating	evaluate	VERB
ejpam-5803	237	3	the	the	DET
ejpam-5803	237	4	necessary	necessary	ADJ
ejpam-5803	237	5	conditions	condition	NOUN
ejpam-5803	237	6	for	for	ADP
ejpam-5803	237	7	the	the	DET
ejpam-5803	237	8	proposed	propose	VERB
ejpam-5803	237	9	numerical	numerical	PROPN
ejpam-5803	237	10	scheme	scheme	NOUN
ejpam-5803	237	11	based	base	VERB
ejpam-5803	237	12	on	on	ADP
ejpam-5803	237	13	eqs	eqs	PROPN
ejpam-5803	237	14	.	.	PUNCT
ejpam-5803	238	1	(	(	PUNCT
ejpam-5803	238	2	17	17	NUM
ejpam-5803	238	3	)	)	PUNCT
ejpam-5803	238	4	and	and	CCONJ
ejpam-5803	238	5	(	(	PUNCT
ejpam-5803	238	6	27	27	NUM
ejpam-5803	238	7	)	)	PUNCT
ejpam-5803	238	8	,	,	PUNCT
ejpam-5803	238	9	we	we	PRON
ejpam-5803	238	10	can	can	AUX
ejpam-5803	238	11	compare	compare	VERB
ejpam-5803	238	12	the	the	DET
ejpam-5803	238	13	analytical	analytical	ADJ
ejpam-5803	238	14	and	and	CCONJ
ejpam-5803	238	15	numerical	numerical	ADJ
ejpam-5803	238	16	solutions	solution	NOUN
ejpam-5803	238	17	,	,	PUNCT
ejpam-5803	238	18	as	as	SCONJ
ejpam-5803	238	19	presented	present	VERB
ejpam-5803	238	20	in	in	ADP
ejpam-5803	238	21	tables	table	NOUN
ejpam-5803	238	22	1	1	NUM
ejpam-5803	238	23	and	and	CCONJ
ejpam-5803	238	24	2	2	NUM
ejpam-5803	238	25	.	.	X
ejpam-5803	238	26	m.	m.	NOUN
ejpam-5803	238	27	m.	m.	NOUN
ejpam-5803	238	28	a.	a.	NOUN
ejpam-5803	238	29	khater	khater	PROPN
ejpam-5803	238	30	/	/	SYM
ejpam-5803	238	31	eur	eur	PROPN
ejpam-5803	238	32	.	.	PUNCT
ejpam-5803	239	1	j.	j.	PROPN
ejpam-5803	239	2	pure	pure	PROPN
ejpam-5803	239	3	appl	appl	PROPN
ejpam-5803	239	4	.	.	PROPN
ejpam-5803	239	5	math	math	PROPN
ejpam-5803	239	6	,	,	PUNCT
ejpam-5803	239	7	18	18	NUM
ejpam-5803	239	8	(	(	PUNCT
ejpam-5803	239	9	4	4	NUM
ejpam-5803	239	10	)	)	PUNCT
ejpam-5803	239	11	(	(	PUNCT
ejpam-5803	239	12	2025	2025	NUM
ejpam-5803	239	13	)	)	PUNCT
ejpam-5803	239	14	,	,	PUNCT
ejpam-5803	239	15	5803	5803	NUM
ejpam-5803	239	16	14	14	NUM
ejpam-5803	239	17	of	of	ADP
ejpam-5803	239	18	31	31	NUM
ejpam-5803	239	19	4	4	NUM
ejpam-5803	239	20	.	.	PUNCT
ejpam-5803	239	21	solution	solution	NOUN
ejpam-5803	239	22	’s	’s	PART
ejpam-5803	239	23	graphical	graphical	ADJ
ejpam-5803	239	24	representations	representation	NOUN
ejpam-5803	239	25	this	this	DET
ejpam-5803	239	26	section	section	NOUN
ejpam-5803	239	27	presents	present	VERB
ejpam-5803	239	28	a	a	DET
ejpam-5803	239	29	thorough	thorough	ADJ
ejpam-5803	239	30	analysis	analysis	NOUN
ejpam-5803	239	31	of	of	ADP
ejpam-5803	239	32	the	the	DET
ejpam-5803	239	33	graphical	graphical	ADJ
ejpam-5803	239	34	representations	representation	NOUN
ejpam-5803	239	35	of	of	ADP
ejpam-5803	239	36	the	the	DET
ejpam-5803	239	37	solutions	solution	NOUN
ejpam-5803	239	38	derived	derive	VERB
ejpam-5803	239	39	from	from	ADP
ejpam-5803	239	40	the	the	DET
ejpam-5803	239	41	khat	khat	PROPN
ejpam-5803	239	42	ii	ii	PROPN
ejpam-5803	239	43	and	and	CCONJ
ejpam-5803	239	44	ekud	ekud	NOUN
ejpam-5803	239	45	methods	method	NOUN
ejpam-5803	239	46	.	.	PUNCT
ejpam-5803	240	1	these	these	DET
ejpam-5803	240	2	visualizations	visualization	NOUN
ejpam-5803	240	3	are	be	AUX
ejpam-5803	240	4	crucial	crucial	ADJ
ejpam-5803	240	5	for	for	ADP
ejpam-5803	240	6	comprehending	comprehend	VERB
ejpam-5803	240	7	the	the	DET
ejpam-5803	240	8	dynamics	dynamic	NOUN
ejpam-5803	240	9	and	and	CCONJ
ejpam-5803	240	10	characteristics	characteristic	NOUN
ejpam-5803	240	11	of	of	ADP
ejpam-5803	240	12	the	the	DET
ejpam-5803	240	13	waveforms	waveform	NOUN
ejpam-5803	240	14	obtained	obtain	VERB
ejpam-5803	240	15	from	from	ADP
ejpam-5803	240	16	the	the	DET
ejpam-5803	240	17	investigated	investigate	VERB
ejpam-5803	240	18	equations	equation	NOUN
ejpam-5803	240	19	.	.	PUNCT
ejpam-5803	241	1	•	•	NUM
ejpam-5803	241	2	fig	fig	NOUN
ejpam-5803	241	3	.	.	PUNCT
ejpam-5803	242	1	1	1	NUM
ejpam-5803	242	2	:	:	PUNCT
ejpam-5803	242	3	bifurcation	bifurcation	NOUN
ejpam-5803	242	4	diagrams	diagram	NOUN
ejpam-5803	242	5	fig	fig	NOUN
ejpam-5803	242	6	.	.	PUNCT
ejpam-5803	243	1	1	1	NUM
ejpam-5803	243	2	displays	display	VERB
ejpam-5803	243	3	the	the	DET
ejpam-5803	243	4	phase	phase	NOUN
ejpam-5803	243	5	-	-	PUNCT
ejpam-5803	243	6	space	space	NOUN
ejpam-5803	243	7	trajectories	trajectory	NOUN
ejpam-5803	243	8	of	of	ADP
ejpam-5803	243	9	the	the	DET
ejpam-5803	243	10	fchfa	fchfa	NOUN
ejpam-5803	243	11	model	model	NOUN
ejpam-5803	243	12	across	across	ADP
ejpam-5803	243	13	various	various	ADJ
ejpam-5803	243	14	parameter	parameter	NOUN
ejpam-5803	243	15	values	value	NOUN
ejpam-5803	243	16	,	,	PUNCT
ejpam-5803	243	17	underscoring	underscore	VERB
ejpam-5803	243	18	the	the	DET
ejpam-5803	243	19	significant	significant	ADJ
ejpam-5803	243	20	impact	impact	NOUN
ejpam-5803	243	21	of	of	ADP
ejpam-5803	243	22	parameter	parameter	NOUN
ejpam-5803	243	23	changes	change	NOUN
ejpam-5803	243	24	on	on	ADP
ejpam-5803	243	25	the	the	DET
ejpam-5803	243	26	system	system	NOUN
ejpam-5803	243	27	’s	’s	PART
ejpam-5803	243	28	dynamics	dynamic	NOUN
ejpam-5803	243	29	.	.	PUNCT
ejpam-5803	244	1	the	the	DET
ejpam-5803	244	2	bifurcation	bifurcation	NOUN
ejpam-5803	244	3	diagrams	diagram	NOUN
ejpam-5803	244	4	emphasize	emphasize	VERB
ejpam-5803	244	5	the	the	DET
ejpam-5803	244	6	transition	transition	NOUN
ejpam-5803	244	7	from	from	ADP
ejpam-5803	244	8	stable	stable	ADJ
ejpam-5803	244	9	to	to	ADP
ejpam-5803	244	10	unstable	unstable	ADJ
ejpam-5803	244	11	equilibrium	equilibrium	NOUN
ejpam-5803	244	12	points	point	NOUN
ejpam-5803	244	13	,	,	PUNCT
ejpam-5803	244	14	offering	offer	VERB
ejpam-5803	244	15	a	a	DET
ejpam-5803	244	16	comprehensive	comprehensive	ADJ
ejpam-5803	244	17	perspective	perspective	NOUN
ejpam-5803	244	18	on	on	ADP
ejpam-5803	244	19	the	the	DET
ejpam-5803	244	20	system	system	NOUN
ejpam-5803	244	21	’s	’s	PART
ejpam-5803	244	22	dynamical	dynamical	ADJ
ejpam-5803	244	23	behavior	behavior	NOUN
ejpam-5803	244	24	.	.	PUNCT
ejpam-5803	245	1	this	this	DET
ejpam-5803	245	2	figure	figure	NOUN
ejpam-5803	245	3	is	be	AUX
ejpam-5803	245	4	particularly	particularly	ADV
ejpam-5803	245	5	important	important	ADJ
ejpam-5803	245	6	as	as	SCONJ
ejpam-5803	245	7	it	it	PRON
ejpam-5803	245	8	highlights	highlight	VERB
ejpam-5803	245	9	the	the	DET
ejpam-5803	245	10	critical	critical	ADJ
ejpam-5803	245	11	parameter	parameter	NOUN
ejpam-5803	245	12	values	value	NOUN
ejpam-5803	245	13	at	at	ADP
ejpam-5803	245	14	which	which	PRON
ejpam-5803	245	15	the	the	DET
ejpam-5803	245	16	system	system	NOUN
ejpam-5803	245	17	undergoes	undergo	VERB
ejpam-5803	245	18	significant	significant	ADJ
ejpam-5803	245	19	dynamical	dynamical	ADJ
ejpam-5803	245	20	changes	change	NOUN
ejpam-5803	245	21	.	.	PUNCT
ejpam-5803	246	1	•	•	NUM
ejpam-5803	246	2	fig	fig	NOUN
ejpam-5803	246	3	.	.	PUNCT
ejpam-5803	247	1	2	2	NUM
ejpam-5803	247	2	:	:	PUNCT
ejpam-5803	247	3	phase	phase	NOUN
ejpam-5803	247	4	portraits	portrait	NOUN
ejpam-5803	247	5	fig	fig	NOUN
ejpam-5803	247	6	.	.	PUNCT
ejpam-5803	248	1	2	2	NUM
ejpam-5803	248	2	presents	present	VERB
ejpam-5803	248	3	the	the	DET
ejpam-5803	248	4	phase	phase	NOUN
ejpam-5803	248	5	portraits	portrait	NOUN
ejpam-5803	248	6	of	of	ADP
ejpam-5803	248	7	the	the	DET
ejpam-5803	248	8	nonlinear	nonlinear	ADJ
ejpam-5803	248	9	dynamical	dynamical	ADJ
ejpam-5803	248	10	system	system	NOUN
ejpam-5803	248	11	,	,	PUNCT
ejpam-5803	248	12	illustrating	illustrate	VERB
ejpam-5803	248	13	chaotic	chaotic	ADJ
ejpam-5803	248	14	and	and	CCONJ
ejpam-5803	248	15	quasi	quasi	ADJ
ejpam-5803	248	16	-	-	ADJ
ejpam-5803	248	17	periodic	periodic	ADJ
ejpam-5803	248	18	behaviors	behavior	NOUN
ejpam-5803	248	19	under	under	ADP
ejpam-5803	248	20	perturbations	perturbation	NOUN
ejpam-5803	248	21	.	.	PUNCT
ejpam-5803	249	1	the	the	DET
ejpam-5803	249	2	figures	figure	NOUN
ejpam-5803	249	3	reveal	reveal	VERB
ejpam-5803	249	4	the	the	DET
ejpam-5803	249	5	complex	complex	ADJ
ejpam-5803	249	6	patterns	pattern	NOUN
ejpam-5803	249	7	formed	form	VERB
ejpam-5803	249	8	by	by	ADP
ejpam-5803	249	9	the	the	DET
ejpam-5803	249	10	system	system	NOUN
ejpam-5803	249	11	’s	’s	PART
ejpam-5803	249	12	trajectories	trajectory	NOUN
ejpam-5803	249	13	in	in	ADP
ejpam-5803	249	14	response	response	NOUN
ejpam-5803	249	15	to	to	ADP
ejpam-5803	249	16	external	external	ADJ
ejpam-5803	249	17	perturbations	perturbation	NOUN
ejpam-5803	249	18	,	,	PUNCT
ejpam-5803	249	19	highlighting	highlight	VERB
ejpam-5803	249	20	the	the	DET
ejpam-5803	249	21	system	system	NOUN
ejpam-5803	249	22	’s	’s	PART
ejpam-5803	249	23	intricate	intricate	ADJ
ejpam-5803	249	24	behavior	behavior	NOUN
ejpam-5803	249	25	.	.	PUNCT
ejpam-5803	250	1	this	this	DET
ejpam-5803	250	2	figure	figure	NOUN
ejpam-5803	250	3	is	be	AUX
ejpam-5803	250	4	essential	essential	ADJ
ejpam-5803	250	5	for	for	ADP
ejpam-5803	250	6	understanding	understand	VERB
ejpam-5803	250	7	the	the	DET
ejpam-5803	250	8	complex	complex	ADJ
ejpam-5803	250	9	dynamical	dynamical	ADJ
ejpam-5803	250	10	behaviors	behavior	NOUN
ejpam-5803	250	11	of	of	ADP
ejpam-5803	250	12	the	the	DET
ejpam-5803	250	13	system	system	NOUN
ejpam-5803	250	14	under	under	ADP
ejpam-5803	250	15	different	different	ADJ
ejpam-5803	250	16	perturbation	perturbation	NOUN
ejpam-5803	250	17	conditions	condition	NOUN
ejpam-5803	250	18	.	.	PUNCT
ejpam-5803	251	1	•	•	NUM
ejpam-5803	251	2	fig	fig	NOUN
ejpam-5803	251	3	.	.	PUNCT
ejpam-5803	252	1	3	3	NUM
ejpam-5803	252	2	:	:	PUNCT
ejpam-5803	252	3	sensitivity	sensitivity	NOUN
ejpam-5803	252	4	analysis	analysis	NOUN
ejpam-5803	252	5	fig	fig	NOUN
ejpam-5803	252	6	.	.	PUNCT
ejpam-5803	253	1	3	3	NUM
ejpam-5803	253	2	shows	show	VERB
ejpam-5803	253	3	the	the	DET
ejpam-5803	253	4	system	system	NOUN
ejpam-5803	253	5	’s	’s	PART
ejpam-5803	253	6	sensitivity	sensitivity	NOUN
ejpam-5803	253	7	to	to	ADP
ejpam-5803	253	8	variations	variation	NOUN
ejpam-5803	253	9	in	in	ADP
ejpam-5803	253	10	initial	initial	ADJ
ejpam-5803	253	11	conditions	condition	NOUN
ejpam-5803	253	12	and	and	CCONJ
ejpam-5803	253	13	parameters	parameter	NOUN
ejpam-5803	253	14	,	,	PUNCT
ejpam-5803	253	15	underscoring	underscore	VERB
ejpam-5803	253	16	its	its	PRON
ejpam-5803	253	17	delicate	delicate	ADJ
ejpam-5803	253	18	nature	nature	NOUN
ejpam-5803	253	19	and	and	CCONJ
ejpam-5803	253	20	complexity	complexity	NOUN
ejpam-5803	253	21	.	.	PUNCT
ejpam-5803	254	1	the	the	DET
ejpam-5803	254	2	results	result	NOUN
ejpam-5803	254	3	emphasize	emphasize	VERB
ejpam-5803	254	4	how	how	SCONJ
ejpam-5803	254	5	minor	minor	ADJ
ejpam-5803	254	6	changes	change	NOUN
ejpam-5803	254	7	in	in	ADP
ejpam-5803	254	8	these	these	DET
ejpam-5803	254	9	factors	factor	NOUN
ejpam-5803	254	10	can	can	AUX
ejpam-5803	254	11	significantly	significantly	ADV
ejpam-5803	254	12	alter	alter	VERB
ejpam-5803	254	13	the	the	DET
ejpam-5803	254	14	system	system	NOUN
ejpam-5803	254	15	’s	’s	PART
ejpam-5803	254	16	trajectory	trajectory	NOUN
ejpam-5803	254	17	.	.	PUNCT
ejpam-5803	255	1	this	this	DET
ejpam-5803	255	2	figure	figure	NOUN
ejpam-5803	255	3	is	be	AUX
ejpam-5803	255	4	crucial	crucial	ADJ
ejpam-5803	255	5	for	for	ADP
ejpam-5803	255	6	understanding	understand	VERB
ejpam-5803	255	7	the	the	DET
ejpam-5803	255	8	system	system	NOUN
ejpam-5803	255	9	’s	’s	PART
ejpam-5803	255	10	sensitivity	sensitivity	NOUN
ejpam-5803	255	11	and	and	CCONJ
ejpam-5803	255	12	the	the	DET
ejpam-5803	255	13	importance	importance	NOUN
ejpam-5803	255	14	of	of	ADP
ejpam-5803	255	15	precise	precise	ADJ
ejpam-5803	255	16	initial	initial	ADJ
ejpam-5803	255	17	conditions	condition	NOUN
ejpam-5803	255	18	in	in	ADP
ejpam-5803	255	19	predicting	predict	VERB
ejpam-5803	255	20	its	its	PRON
ejpam-5803	255	21	behavior	behavior	NOUN
ejpam-5803	255	22	.	.	PUNCT
ejpam-5803	256	1	•	•	NUM
ejpam-5803	256	2	fig	fig	NOUN
ejpam-5803	256	3	.	.	PUNCT
ejpam-5803	257	1	4	4	NUM
ejpam-5803	257	2	:	:	PUNCT
ejpam-5803	257	3	sensitivity	sensitivity	NOUN
ejpam-5803	257	4	analysis	analysis	NOUN
ejpam-5803	257	5	from	from	ADP
ejpam-5803	257	6	various	various	ADJ
ejpam-5803	257	7	initial	initial	ADJ
ejpam-5803	257	8	positions	position	NOUN
ejpam-5803	257	9	fig	fig	NOUN
ejpam-5803	257	10	.	.	PUNCT
ejpam-5803	258	1	4	4	NUM
ejpam-5803	258	2	analyzes	analyze	VERB
ejpam-5803	258	3	the	the	DET
ejpam-5803	258	4	effects	effect	NOUN
ejpam-5803	258	5	of	of	ADP
ejpam-5803	258	6	different	different	ADJ
ejpam-5803	258	7	initial	initial	ADJ
ejpam-5803	258	8	positions	position	NOUN
ejpam-5803	258	9	,	,	PUNCT
ejpam-5803	258	10	demonstrating	demonstrate	VERB
ejpam-5803	258	11	the	the	DET
ejpam-5803	258	12	system	system	NOUN
ejpam-5803	258	13	’s	’s	PART
ejpam-5803	258	14	response	response	NOUN
ejpam-5803	258	15	to	to	ADP
ejpam-5803	258	16	varying	vary	VERB
ejpam-5803	258	17	initial	initial	ADJ
ejpam-5803	258	18	conditions	condition	NOUN
ejpam-5803	258	19	and	and	CCONJ
ejpam-5803	258	20	highlighting	highlight	VERB
ejpam-5803	258	21	the	the	DET
ejpam-5803	258	22	crucial	crucial	ADJ
ejpam-5803	258	23	role	role	NOUN
ejpam-5803	258	24	of	of	ADP
ejpam-5803	258	25	initial	initial	ADJ
ejpam-5803	258	26	states	state	NOUN
ejpam-5803	258	27	in	in	ADP
ejpam-5803	258	28	determining	determine	VERB
ejpam-5803	258	29	the	the	DET
ejpam-5803	258	30	system	system	NOUN
ejpam-5803	258	31	’s	’s	PART
ejpam-5803	258	32	evolution	evolution	NOUN
ejpam-5803	258	33	.	.	PUNCT
ejpam-5803	259	1	this	this	DET
ejpam-5803	259	2	figure	figure	NOUN
ejpam-5803	259	3	underscores	underscore	VERB
ejpam-5803	259	4	the	the	DET
ejpam-5803	259	5	importance	importance	NOUN
ejpam-5803	259	6	of	of	ADP
ejpam-5803	259	7	initial	initial	ADJ
ejpam-5803	259	8	conditions	condition	NOUN
ejpam-5803	259	9	in	in	ADP
ejpam-5803	259	10	shaping	shape	VERB
ejpam-5803	259	11	the	the	DET
ejpam-5803	259	12	system	system	NOUN
ejpam-5803	259	13	’s	’s	PART
ejpam-5803	259	14	long	long	ADJ
ejpam-5803	259	15	-	-	PUNCT
ejpam-5803	259	16	term	term	NOUN
ejpam-5803	259	17	behavior	behavior	NOUN
ejpam-5803	259	18	.	.	PUNCT
ejpam-5803	260	1	•	•	NUM
ejpam-5803	260	2	fig	fig	NOUN
ejpam-5803	260	3	.	.	PUNCT
ejpam-5803	261	1	5	5	NUM
ejpam-5803	261	2	:	:	PUNCT
ejpam-5803	261	3	graphical	graphical	ADJ
ejpam-5803	261	4	representation	representation	NOUN
ejpam-5803	261	5	of	of	ADP
ejpam-5803	261	6	solutions	solution	NOUN
ejpam-5803	261	7	via	via	ADP
ejpam-5803	261	8	the	the	DET
ejpam-5803	261	9	khat	khat	PROPN
ejpam-5803	261	10	ii	ii	PROPN
ejpam-5803	261	11	method	method	PROPN
ejpam-5803	261	12	fig	fig	NOUN
ejpam-5803	261	13	.	.	PUNCT
ejpam-5803	262	1	5	5	NUM
ejpam-5803	262	2	depicts	depict	VERB
ejpam-5803	262	3	solution	solution	NOUN
ejpam-5803	262	4	profiles	profile	NOUN
ejpam-5803	262	5	obtained	obtain	VERB
ejpam-5803	262	6	using	use	VERB
ejpam-5803	262	7	the	the	DET
ejpam-5803	262	8	khat	khat	PROPN
ejpam-5803	262	9	ii	ii	PROPN
ejpam-5803	262	10	method	method	NOUN
ejpam-5803	262	11	,	,	PUNCT
ejpam-5803	262	12	with	with	ADP
ejpam-5803	262	13	subfigures	subfigure	NOUN
ejpam-5803	262	14	(	(	PUNCT
ejpam-5803	262	15	a	a	DET
ejpam-5803	262	16	,	,	PUNCT
ejpam-5803	262	17	d	d	NOUN
ejpam-5803	262	18	,	,	PUNCT
ejpam-5803	262	19	g	g	NOUN
ejpam-5803	262	20	)	)	PUNCT
ejpam-5803	262	21	showing	show	VERB
ejpam-5803	262	22	the	the	DET
ejpam-5803	262	23	real	real	ADJ
ejpam-5803	262	24	component	component	NOUN
ejpam-5803	262	25	,	,	PUNCT
ejpam-5803	262	26	(	(	PUNCT
ejpam-5803	262	27	b	b	NOUN
ejpam-5803	262	28	,	,	PUNCT
ejpam-5803	262	29	e	e	NOUN
ejpam-5803	262	30	,	,	PUNCT
ejpam-5803	262	31	h	h	NOUN
ejpam-5803	262	32	)	)	PUNCT
ejpam-5803	262	33	the	the	DET
ejpam-5803	262	34	imaginary	imaginary	ADJ
ejpam-5803	262	35	component	component	NOUN
ejpam-5803	262	36	,	,	PUNCT
ejpam-5803	262	37	and	and	CCONJ
ejpam-5803	262	38	(	(	PUNCT
ejpam-5803	262	39	c	c	X
ejpam-5803	262	40	,	,	PUNCT
ejpam-5803	262	41	f	f	PROPN
ejpam-5803	262	42	,	,	PUNCT
ejpam-5803	262	43	i	i	PROPN
ejpam-5803	262	44	)	)	PUNCT
ejpam-5803	262	45	the	the	DET
ejpam-5803	262	46	absolute	absolute	ADJ
ejpam-5803	262	47	value	value	NOUN
ejpam-5803	262	48	of	of	ADP
ejpam-5803	262	49	the	the	DET
ejpam-5803	262	50	solution	solution	NOUN
ejpam-5803	262	51	from	from	ADP
ejpam-5803	262	52	eq	eq	ADP
ejpam-5803	262	53	.	.	PUNCT
ejpam-5803	263	1	(	(	PUNCT
ejpam-5803	263	2	17	17	NUM
ejpam-5803	263	3	)	)	PUNCT
ejpam-5803	263	4	.	.	PUNCT
ejpam-5803	264	1	this	this	DET
ejpam-5803	264	2	visualization	visualization	NOUN
ejpam-5803	264	3	uncovers	uncover	NOUN
ejpam-5803	264	4	key	key	ADJ
ejpam-5803	264	5	waveform	waveform	NOUN
ejpam-5803	264	6	properties	property	NOUN
ejpam-5803	264	7	,	,	PUNCT
ejpam-5803	264	8	including	include	VERB
ejpam-5803	264	9	amplitude	amplitude	NOUN
ejpam-5803	264	10	,	,	PUNCT
ejpam-5803	264	11	shape	shape	NOUN
ejpam-5803	264	12	,	,	PUNCT
ejpam-5803	264	13	and	and	CCONJ
ejpam-5803	264	14	velocity	velocity	NOUN
ejpam-5803	264	15	.	.	PUNCT
ejpam-5803	265	1	the	the	DET
ejpam-5803	265	2	spatial	spatial	ADJ
ejpam-5803	265	3	-	-	PUNCT
ejpam-5803	265	4	temporal	temporal	ADJ
ejpam-5803	265	5	dynamics	dynamic	NOUN
ejpam-5803	265	6	in	in	ADP
ejpam-5803	265	7	the	the	DET
ejpam-5803	265	8	real	real	ADJ
ejpam-5803	265	9	and	and	CCONJ
ejpam-5803	265	10	imaginary	imaginary	ADJ
ejpam-5803	265	11	components	component	NOUN
ejpam-5803	265	12	highlight	highlight	VERB
ejpam-5803	265	13	oscillatory	oscillatory	ADJ
ejpam-5803	265	14	behavior	behavior	NOUN
ejpam-5803	265	15	,	,	PUNCT
ejpam-5803	265	16	while	while	SCONJ
ejpam-5803	265	17	the	the	DET
ejpam-5803	265	18	absolute	absolute	ADJ
ejpam-5803	265	19	values	value	NOUN
ejpam-5803	265	20	indicate	indicate	VERB
ejpam-5803	265	21	energy	energy	NOUN
ejpam-5803	265	22	propagation	propagation	NOUN
ejpam-5803	265	23	.	.	PUNCT
ejpam-5803	266	1	the	the	DET
ejpam-5803	266	2	stability	stability	NOUN
ejpam-5803	266	3	in	in	ADP
ejpam-5803	266	4	amplitude	amplitude	NOUN
ejpam-5803	266	5	over	over	ADP
ejpam-5803	266	6	time	time	NOUN
ejpam-5803	266	7	suggests	suggest	VERB
ejpam-5803	266	8	soliton	soliton	NOUN
ejpam-5803	266	9	-	-	PUNCT
ejpam-5803	266	10	like	like	ADJ
ejpam-5803	266	11	structures	structure	NOUN
ejpam-5803	266	12	,	,	PUNCT
ejpam-5803	266	13	relevant	relevant	ADJ
ejpam-5803	266	14	in	in	ADP
ejpam-5803	266	15	fields	field	NOUN
ejpam-5803	266	16	such	such	ADJ
ejpam-5803	266	17	as	as	ADP
ejpam-5803	266	18	fluid	fluid	ADJ
ejpam-5803	266	19	m.	m.	NOUN
ejpam-5803	266	20	m.	m.	NOUN
ejpam-5803	266	21	a.	a.	NOUN
ejpam-5803	266	22	khater	khater	PROPN
ejpam-5803	266	23	/	/	SYM
ejpam-5803	266	24	eur	eur	PROPN
ejpam-5803	266	25	.	.	PUNCT
ejpam-5803	267	1	j.	j.	PROPN
ejpam-5803	267	2	pure	pure	PROPN
ejpam-5803	267	3	appl	appl	PROPN
ejpam-5803	267	4	.	.	PROPN
ejpam-5803	267	5	math	math	PROPN
ejpam-5803	267	6	,	,	PUNCT
ejpam-5803	267	7	18	18	NUM
ejpam-5803	267	8	(	(	PUNCT
ejpam-5803	267	9	4	4	NUM
ejpam-5803	267	10	)	)	PUNCT
ejpam-5803	267	11	(	(	PUNCT
ejpam-5803	267	12	2025	2025	NUM
ejpam-5803	267	13	)	)	PUNCT
ejpam-5803	267	14	,	,	PUNCT
ejpam-5803	267	15	5803	5803	NUM
ejpam-5803	267	16	15	15	NUM
ejpam-5803	267	17	of	of	ADP
ejpam-5803	267	18	31	31	NUM
ejpam-5803	267	19	dynamics	dynamic	NOUN
ejpam-5803	267	20	and	and	CCONJ
ejpam-5803	267	21	nonlinear	nonlinear	ADJ
ejpam-5803	267	22	wave	wave	NOUN
ejpam-5803	267	23	propagation	propagation	NOUN
ejpam-5803	267	24	.	.	PUNCT
ejpam-5803	268	1	this	this	DET
ejpam-5803	268	2	figure	figure	NOUN
ejpam-5803	268	3	is	be	AUX
ejpam-5803	268	4	vital	vital	ADJ
ejpam-5803	268	5	for	for	ADP
ejpam-5803	268	6	understanding	understand	VERB
ejpam-5803	268	7	the	the	DET
ejpam-5803	268	8	waveform	waveform	NOUN
ejpam-5803	268	9	properties	property	NOUN
ejpam-5803	268	10	and	and	CCONJ
ejpam-5803	268	11	soliton	soliton	NOUN
ejpam-5803	268	12	-	-	PUNCT
ejpam-5803	268	13	like	like	ADJ
ejpam-5803	268	14	behavior	behavior	NOUN
ejpam-5803	268	15	of	of	ADP
ejpam-5803	268	16	the	the	DET
ejpam-5803	268	17	solutions	solution	NOUN
ejpam-5803	268	18	.	.	PUNCT
ejpam-5803	269	1	•	•	NUM
ejpam-5803	269	2	fig	fig	NOUN
ejpam-5803	269	3	.	.	PUNCT
ejpam-5803	270	1	6	6	NUM
ejpam-5803	270	2	:	:	PUNCT
ejpam-5803	270	3	solution	solution	NOUN
ejpam-5803	270	4	representation	representation	NOUN
ejpam-5803	270	5	via	via	ADP
ejpam-5803	270	6	the	the	DET
ejpam-5803	270	7	khat	khat	PROPN
ejpam-5803	270	8	ii	ii	PROPN
ejpam-5803	270	9	method	method	PROPN
ejpam-5803	270	10	fig	fig	PROPN
ejpam-5803	270	11	.	.	PUNCT
ejpam-5803	271	1	6	6	NUM
ejpam-5803	271	2	illustrates	illustrate	VERB
ejpam-5803	271	3	waveform	waveform	VERB
ejpam-5803	271	4	evolution	evolution	NOUN
ejpam-5803	271	5	for	for	ADP
ejpam-5803	271	6	an	an	DET
ejpam-5803	271	7	alternative	alternative	ADJ
ejpam-5803	271	8	parameter	parameter	NOUN
ejpam-5803	271	9	set	set	NOUN
ejpam-5803	271	10	,	,	PUNCT
ejpam-5803	271	11	presenting	present	VERB
ejpam-5803	271	12	the	the	DET
ejpam-5803	271	13	real	real	ADJ
ejpam-5803	271	14	(	(	PUNCT
ejpam-5803	271	15	a	a	PRON
ejpam-5803	271	16	,	,	PUNCT
ejpam-5803	271	17	d	d	NOUN
ejpam-5803	271	18	,	,	PUNCT
ejpam-5803	271	19	g	g	NOUN
ejpam-5803	271	20	)	)	PUNCT
ejpam-5803	271	21	,	,	PUNCT
ejpam-5803	271	22	imaginary	imaginary	ADJ
ejpam-5803	271	23	(	(	PUNCT
ejpam-5803	271	24	b	b	NOUN
ejpam-5803	271	25	,	,	PUNCT
ejpam-5803	271	26	e	e	NOUN
ejpam-5803	271	27	,	,	PUNCT
ejpam-5803	271	28	h	h	NOUN
ejpam-5803	271	29	)	)	PUNCT
ejpam-5803	271	30	,	,	PUNCT
ejpam-5803	271	31	and	and	CCONJ
ejpam-5803	271	32	absolute	absolute	ADJ
ejpam-5803	271	33	(	(	PUNCT
ejpam-5803	271	34	c	c	NOUN
ejpam-5803	271	35	,	,	PUNCT
ejpam-5803	271	36	f	f	PROPN
ejpam-5803	271	37	,	,	PUNCT
ejpam-5803	271	38	i	i	NOUN
ejpam-5803	271	39	)	)	PUNCT
ejpam-5803	271	40	values	value	NOUN
ejpam-5803	271	41	from	from	ADP
ejpam-5803	271	42	eq	eq	ADP
ejpam-5803	271	43	.	.	PUNCT
ejpam-5803	272	1	(	(	PUNCT
ejpam-5803	272	2	21	21	NUM
ejpam-5803	272	3	)	)	PUNCT
ejpam-5803	272	4	.	.	PUNCT
ejpam-5803	273	1	this	this	DET
ejpam-5803	273	2	figure	figure	NOUN
ejpam-5803	273	3	captures	capture	VERB
ejpam-5803	273	4	amplitude	amplitude	NOUN
ejpam-5803	273	5	growth	growth	NOUN
ejpam-5803	273	6	and	and	CCONJ
ejpam-5803	273	7	waveform	waveform	VERB
ejpam-5803	273	8	expansion	expansion	NOUN
ejpam-5803	273	9	,	,	PUNCT
ejpam-5803	273	10	with	with	ADP
ejpam-5803	273	11	periodic	periodic	ADJ
ejpam-5803	273	12	patterns	pattern	NOUN
ejpam-5803	273	13	in	in	ADP
ejpam-5803	273	14	the	the	DET
ejpam-5803	273	15	imaginary	imaginary	ADJ
ejpam-5803	273	16	components	component	NOUN
ejpam-5803	273	17	suggesting	suggest	VERB
ejpam-5803	273	18	consistent	consistent	ADJ
ejpam-5803	273	19	energy	energy	NOUN
ejpam-5803	273	20	transfer	transfer	NOUN
ejpam-5803	273	21	.	.	PUNCT
ejpam-5803	274	1	the	the	DET
ejpam-5803	274	2	absolute	absolute	ADJ
ejpam-5803	274	3	value	value	NOUN
ejpam-5803	274	4	representation	representation	NOUN
ejpam-5803	274	5	emphasizes	emphasize	VERB
ejpam-5803	274	6	stability	stability	NOUN
ejpam-5803	274	7	and	and	CCONJ
ejpam-5803	274	8	conservation	conservation	NOUN
ejpam-5803	274	9	,	,	PUNCT
ejpam-5803	274	10	vital	vital	ADJ
ejpam-5803	274	11	for	for	ADP
ejpam-5803	274	12	understanding	understand	VERB
ejpam-5803	274	13	the	the	DET
ejpam-5803	274	14	modeled	model	VERB
ejpam-5803	274	15	system	system	NOUN
ejpam-5803	274	16	’s	’s	PART
ejpam-5803	274	17	long	long	ADJ
ejpam-5803	274	18	-	-	PUNCT
ejpam-5803	274	19	term	term	NOUN
ejpam-5803	274	20	behavior	behavior	NOUN
ejpam-5803	274	21	.	.	PUNCT
ejpam-5803	275	1	this	this	DET
ejpam-5803	275	2	figure	figure	NOUN
ejpam-5803	275	3	provides	provide	VERB
ejpam-5803	275	4	insights	insight	NOUN
ejpam-5803	275	5	into	into	ADP
ejpam-5803	275	6	the	the	DET
ejpam-5803	275	7	amplitude	amplitude	NOUN
ejpam-5803	275	8	growth	growth	NOUN
ejpam-5803	275	9	and	and	CCONJ
ejpam-5803	275	10	energy	energy	NOUN
ejpam-5803	275	11	transfer	transfer	NOUN
ejpam-5803	275	12	mechanisms	mechanism	NOUN
ejpam-5803	275	13	in	in	ADP
ejpam-5803	275	14	the	the	DET
ejpam-5803	275	15	system	system	NOUN
ejpam-5803	275	16	.	.	PUNCT
ejpam-5803	276	1	•	•	NUM
ejpam-5803	276	2	fig	fig	NOUN
ejpam-5803	276	3	.	.	PUNCT
ejpam-5803	277	1	7	7	NUM
ejpam-5803	277	2	:	:	PUNCT
ejpam-5803	277	3	graphical	graphical	ADJ
ejpam-5803	277	4	solution	solution	NOUN
ejpam-5803	277	5	representation	representation	NOUN
ejpam-5803	277	6	via	via	ADP
ejpam-5803	277	7	the	the	DET
ejpam-5803	277	8	ekud	ekud	NOUN
ejpam-5803	277	9	method	method	PROPN
ejpam-5803	277	10	fig	fig	NOUN
ejpam-5803	277	11	.	.	PUNCT
ejpam-5803	278	1	7	7	NUM
ejpam-5803	278	2	provides	provide	VERB
ejpam-5803	278	3	a	a	DET
ejpam-5803	278	4	graphical	graphical	ADJ
ejpam-5803	278	5	representation	representation	NOUN
ejpam-5803	278	6	of	of	ADP
ejpam-5803	278	7	solutions	solution	NOUN
ejpam-5803	278	8	obtained	obtain	VERB
ejpam-5803	278	9	through	through	ADP
ejpam-5803	278	10	the	the	DET
ejpam-5803	278	11	ekud	ekud	NOUN
ejpam-5803	278	12	method	method	NOUN
ejpam-5803	278	13	,	,	PUNCT
ejpam-5803	278	14	displaying	display	VERB
ejpam-5803	278	15	the	the	DET
ejpam-5803	278	16	real	real	ADJ
ejpam-5803	278	17	(	(	PUNCT
ejpam-5803	278	18	a	a	PRON
ejpam-5803	278	19	,	,	PUNCT
ejpam-5803	278	20	d	d	NOUN
ejpam-5803	278	21	,	,	PUNCT
ejpam-5803	278	22	g	g	NOUN
ejpam-5803	278	23	)	)	PUNCT
ejpam-5803	278	24	,	,	PUNCT
ejpam-5803	278	25	imaginary	imaginary	ADJ
ejpam-5803	278	26	(	(	PUNCT
ejpam-5803	278	27	b	b	NOUN
ejpam-5803	278	28	,	,	PUNCT
ejpam-5803	278	29	e	e	NOUN
ejpam-5803	278	30	,	,	PUNCT
ejpam-5803	278	31	h	h	NOUN
ejpam-5803	278	32	)	)	PUNCT
ejpam-5803	278	33	,	,	PUNCT
ejpam-5803	278	34	and	and	CCONJ
ejpam-5803	278	35	absolute	absolute	ADJ
ejpam-5803	278	36	(	(	PUNCT
ejpam-5803	278	37	c	c	NOUN
ejpam-5803	278	38	,	,	PUNCT
ejpam-5803	278	39	f	f	PROPN
ejpam-5803	278	40	,	,	PUNCT
ejpam-5803	278	41	i	i	NOUN
ejpam-5803	278	42	)	)	PUNCT
ejpam-5803	278	43	values	value	NOUN
ejpam-5803	278	44	from	from	ADP
ejpam-5803	278	45	eq	eq	ADP
ejpam-5803	278	46	.	.	PUNCT
ejpam-5803	279	1	(	(	PUNCT
ejpam-5803	279	2	23	23	NUM
ejpam-5803	279	3	)	)	PUNCT
ejpam-5803	279	4	.	.	PUNCT
ejpam-5803	280	1	key	key	ADJ
ejpam-5803	280	2	waveform	waveform	NOUN
ejpam-5803	280	3	characteristics	characteristic	NOUN
ejpam-5803	280	4	,	,	PUNCT
ejpam-5803	280	5	including	include	VERB
ejpam-5803	280	6	amplitude	amplitude	NOUN
ejpam-5803	280	7	oscillation	oscillation	NOUN
ejpam-5803	280	8	,	,	PUNCT
ejpam-5803	280	9	phase	phase	NOUN
ejpam-5803	280	10	shifts	shift	NOUN
ejpam-5803	280	11	,	,	PUNCT
ejpam-5803	280	12	and	and	CCONJ
ejpam-5803	280	13	stability	stability	NOUN
ejpam-5803	280	14	,	,	PUNCT
ejpam-5803	280	15	are	be	AUX
ejpam-5803	280	16	illustrated	illustrate	VERB
ejpam-5803	280	17	.	.	PUNCT
ejpam-5803	281	1	observing	observe	VERB
ejpam-5803	281	2	the	the	DET
ejpam-5803	281	3	real	real	ADJ
ejpam-5803	281	4	and	and	CCONJ
ejpam-5803	281	5	imaginary	imaginary	ADJ
ejpam-5803	281	6	components	component	NOUN
ejpam-5803	281	7	offers	offer	VERB
ejpam-5803	281	8	insights	insight	NOUN
ejpam-5803	281	9	into	into	ADP
ejpam-5803	281	10	wave	wave	NOUN
ejpam-5803	281	11	phase	phase	NOUN
ejpam-5803	281	12	changes	change	NOUN
ejpam-5803	281	13	,	,	PUNCT
ejpam-5803	281	14	essential	essential	ADJ
ejpam-5803	281	15	for	for	ADP
ejpam-5803	281	16	understanding	understand	VERB
ejpam-5803	281	17	energy	energy	NOUN
ejpam-5803	281	18	distribution	distribution	NOUN
ejpam-5803	281	19	across	across	ADP
ejpam-5803	281	20	space	space	NOUN
ejpam-5803	281	21	.	.	PUNCT
ejpam-5803	282	1	this	this	DET
ejpam-5803	282	2	figure	figure	NOUN
ejpam-5803	282	3	highlights	highlight	VERB
ejpam-5803	282	4	the	the	DET
ejpam-5803	282	5	ekud	ekud	NOUN
ejpam-5803	282	6	method	method	NOUN
ejpam-5803	282	7	’s	’s	PART
ejpam-5803	282	8	effectiveness	effectiveness	NOUN
ejpam-5803	282	9	in	in	ADP
ejpam-5803	282	10	capturing	capture	VERB
ejpam-5803	282	11	intrinsic	intrinsic	ADJ
ejpam-5803	282	12	solution	solution	NOUN
ejpam-5803	282	13	properties	property	NOUN
ejpam-5803	282	14	.	.	PUNCT
ejpam-5803	283	1	this	this	DET
ejpam-5803	283	2	figure	figure	NOUN
ejpam-5803	283	3	is	be	AUX
ejpam-5803	283	4	important	important	ADJ
ejpam-5803	283	5	for	for	ADP
ejpam-5803	283	6	understanding	understand	VERB
ejpam-5803	283	7	the	the	DET
ejpam-5803	283	8	waveform	waveform	NOUN
ejpam-5803	283	9	characteristics	characteristic	NOUN
ejpam-5803	283	10	and	and	CCONJ
ejpam-5803	283	11	phase	phase	NOUN
ejpam-5803	283	12	changes	change	NOUN
ejpam-5803	283	13	captured	capture	VERB
ejpam-5803	283	14	by	by	ADP
ejpam-5803	283	15	the	the	DET
ejpam-5803	283	16	ekud	ekud	NOUN
ejpam-5803	283	17	method	method	NOUN
ejpam-5803	283	18	.	.	PUNCT
ejpam-5803	284	1	•	•	NUM
ejpam-5803	284	2	fig	fig	NOUN
ejpam-5803	284	3	.	.	PUNCT
ejpam-5803	285	1	8	8	NUM
ejpam-5803	285	2	:	:	PUNCT
ejpam-5803	285	3	solution	solution	NOUN
ejpam-5803	285	4	representation	representation	NOUN
ejpam-5803	285	5	for	for	ADP
ejpam-5803	285	6	the	the	DET
ejpam-5803	285	7	investigated	investigate	VERB
ejpam-5803	285	8	model	model	NOUN
ejpam-5803	285	9	via	via	ADP
ejpam-5803	285	10	the	the	DET
ejpam-5803	285	11	ekud	ekud	NOUN
ejpam-5803	285	12	method	method	PROPN
ejpam-5803	285	13	fig	fig	NOUN
ejpam-5803	285	14	.	.	PUNCT
ejpam-5803	286	1	8	8	NUM
ejpam-5803	286	2	shows	show	NOUN
ejpam-5803	286	3	waveform	waveform	VERB
ejpam-5803	286	4	behavior	behavior	NOUN
ejpam-5803	286	5	under	under	ADP
ejpam-5803	286	6	varying	vary	VERB
ejpam-5803	286	7	conditions	condition	NOUN
ejpam-5803	286	8	as	as	SCONJ
ejpam-5803	286	9	modeled	model	VERB
ejpam-5803	286	10	by	by	ADP
ejpam-5803	286	11	the	the	DET
ejpam-5803	286	12	ekud	ekud	NOUN
ejpam-5803	286	13	method	method	NOUN
ejpam-5803	286	14	,	,	PUNCT
ejpam-5803	286	15	with	with	ADP
ejpam-5803	286	16	subfigures	subfigure	NOUN
ejpam-5803	286	17	depicting	depict	VERB
ejpam-5803	286	18	the	the	DET
ejpam-5803	286	19	real	real	ADJ
ejpam-5803	286	20	,	,	PUNCT
ejpam-5803	286	21	imaginary	imaginary	ADJ
ejpam-5803	286	22	,	,	PUNCT
ejpam-5803	286	23	and	and	CCONJ
ejpam-5803	286	24	absolute	absolute	ADJ
ejpam-5803	286	25	values	value	NOUN
ejpam-5803	286	26	from	from	ADP
ejpam-5803	286	27	eq	eq	ADP
ejpam-5803	286	28	.	.	PUNCT
ejpam-5803	287	1	(	(	PUNCT
ejpam-5803	287	2	27	27	NUM
ejpam-5803	287	3	)	)	PUNCT
ejpam-5803	287	4	.	.	PUNCT
ejpam-5803	288	1	this	this	DET
ejpam-5803	288	2	figure	figure	NOUN
ejpam-5803	288	3	underscores	underscore	VERB
ejpam-5803	288	4	phase	phase	NOUN
ejpam-5803	288	5	stability	stability	NOUN
ejpam-5803	288	6	and	and	CCONJ
ejpam-5803	288	7	energy	energy	NOUN
ejpam-5803	288	8	dispersion	dispersion	NOUN
ejpam-5803	288	9	patterns	pattern	NOUN
ejpam-5803	288	10	,	,	PUNCT
ejpam-5803	288	11	emphasizing	emphasize	VERB
ejpam-5803	288	12	the	the	DET
ejpam-5803	288	13	ekud	ekud	NOUN
ejpam-5803	288	14	method	method	NOUN
ejpam-5803	288	15	’s	’s	PART
ejpam-5803	288	16	capability	capability	NOUN
ejpam-5803	288	17	to	to	PART
ejpam-5803	288	18	accurately	accurately	ADV
ejpam-5803	288	19	capture	capture	VERB
ejpam-5803	288	20	solution	solution	NOUN
ejpam-5803	288	21	properties	property	NOUN
ejpam-5803	288	22	.	.	PUNCT
ejpam-5803	289	1	the	the	DET
ejpam-5803	289	2	visual	visual	ADJ
ejpam-5803	289	3	representation	representation	NOUN
ejpam-5803	289	4	aids	aid	NOUN
ejpam-5803	289	5	in	in	ADP
ejpam-5803	289	6	understanding	understand	VERB
ejpam-5803	289	7	the	the	DET
ejpam-5803	289	8	system	system	NOUN
ejpam-5803	289	9	’s	’s	PART
ejpam-5803	289	10	complex	complex	ADJ
ejpam-5803	289	11	interactions	interaction	NOUN
ejpam-5803	289	12	and	and	CCONJ
ejpam-5803	289	13	their	their	PRON
ejpam-5803	289	14	practical	practical	ADJ
ejpam-5803	289	15	implications	implication	NOUN
ejpam-5803	289	16	.	.	PUNCT
ejpam-5803	290	1	this	this	DET
ejpam-5803	290	2	figure	figure	NOUN
ejpam-5803	290	3	highlights	highlight	VERB
ejpam-5803	290	4	the	the	DET
ejpam-5803	290	5	ekud	ekud	NOUN
ejpam-5803	290	6	method	method	NOUN
ejpam-5803	290	7	’s	’s	PART
ejpam-5803	290	8	ability	ability	NOUN
ejpam-5803	290	9	to	to	PART
ejpam-5803	290	10	capture	capture	VERB
ejpam-5803	290	11	phase	phase	NOUN
ejpam-5803	290	12	stability	stability	NOUN
ejpam-5803	290	13	and	and	CCONJ
ejpam-5803	290	14	energy	energy	NOUN
ejpam-5803	290	15	dispersion	dispersion	NOUN
ejpam-5803	290	16	patterns	pattern	NOUN
ejpam-5803	290	17	under	under	ADP
ejpam-5803	290	18	different	different	ADJ
ejpam-5803	290	19	conditions	condition	NOUN
ejpam-5803	290	20	.	.	PUNCT
ejpam-5803	291	1	•	•	NUM
ejpam-5803	291	2	fig	fig	NOUN
ejpam-5803	291	3	.	.	PUNCT
ejpam-5803	292	1	9	9	NUM
ejpam-5803	292	2	:	:	PUNCT
ejpam-5803	292	3	comparative	comparative	ADJ
ejpam-5803	292	4	analysis	analysis	NOUN
ejpam-5803	292	5	of	of	ADP
ejpam-5803	292	6	analytical	analytical	ADJ
ejpam-5803	292	7	and	and	CCONJ
ejpam-5803	292	8	numerical	numerical	ADJ
ejpam-5803	292	9	solutions	solution	NOUN
ejpam-5803	292	10	fig	fig	NOUN
ejpam-5803	292	11	.	.	PUNCT
ejpam-5803	293	1	9	9	NUM
ejpam-5803	293	2	offers	offer	VERB
ejpam-5803	293	3	a	a	DET
ejpam-5803	293	4	comparative	comparative	ADJ
ejpam-5803	293	5	analysis	analysis	NOUN
ejpam-5803	293	6	of	of	ADP
ejpam-5803	293	7	analytical	analytical	ADJ
ejpam-5803	293	8	solutions	solution	NOUN
ejpam-5803	293	9	from	from	ADP
ejpam-5803	293	10	the	the	DET
ejpam-5803	293	11	khat	khat	PROPN
ejpam-5803	293	12	ii	ii	PROPN
ejpam-5803	293	13	method	method	NOUN
ejpam-5803	293	14	(	(	PUNCT
ejpam-5803	293	15	subfigures	subfigure	NOUN
ejpam-5803	293	16	a	a	PRON
ejpam-5803	293	17	and	and	CCONJ
ejpam-5803	293	18	b	b	NOUN
ejpam-5803	293	19	)	)	PUNCT
ejpam-5803	293	20	and	and	CCONJ
ejpam-5803	293	21	the	the	DET
ejpam-5803	293	22	ekud	ekud	NOUN
ejpam-5803	293	23	method	method	NOUN
ejpam-5803	293	24	(	(	PUNCT
ejpam-5803	293	25	subfigures	subfigure	NOUN
ejpam-5803	293	26	c	c	PROPN
ejpam-5803	293	27	and	and	CCONJ
ejpam-5803	293	28	d	d	X
ejpam-5803	293	29	)	)	PUNCT
ejpam-5803	293	30	against	against	ADP
ejpam-5803	293	31	numerical	numerical	ADJ
ejpam-5803	293	32	solutions	solution	NOUN
ejpam-5803	293	33	obtained	obtain	VERB
ejpam-5803	293	34	via	via	ADP
ejpam-5803	293	35	the	the	DET
ejpam-5803	293	36	adomian	adomian	NOUN
ejpam-5803	293	37	decomposition	decomposition	NOUN
ejpam-5803	293	38	scheme	scheme	NOUN
ejpam-5803	293	39	.	.	PUNCT
ejpam-5803	294	1	subfigures	subfigure	NOUN
ejpam-5803	294	2	a	a	PRON
ejpam-5803	294	3	and	and	CCONJ
ejpam-5803	294	4	b	b	NOUN
ejpam-5803	294	5	confirm	confirm	VERB
ejpam-5803	294	6	the	the	DET
ejpam-5803	294	7	khat	khat	PROPN
ejpam-5803	294	8	ii	ii	PROPN
ejpam-5803	294	9	method	method	PROPN
ejpam-5803	294	10	’s	’s	PART
ejpam-5803	294	11	accuracy	accuracy	NOUN
ejpam-5803	294	12	,	,	PUNCT
ejpam-5803	294	13	while	while	SCONJ
ejpam-5803	294	14	subfigures	subfigure	NOUN
ejpam-5803	294	15	c	c	PROPN
ejpam-5803	294	16	and	and	CCONJ
ejpam-5803	294	17	d	d	PRON
ejpam-5803	294	18	reveal	reveal	VERB
ejpam-5803	294	19	both	both	DET
ejpam-5803	294	20	agreements	agreement	NOUN
ejpam-5803	294	21	and	and	CCONJ
ejpam-5803	294	22	discrepancies	discrepancy	NOUN
ejpam-5803	294	23	for	for	ADP
ejpam-5803	294	24	the	the	DET
ejpam-5803	294	25	ekud	ekud	NOUN
ejpam-5803	294	26	method	method	NOUN
ejpam-5803	294	27	.	.	PUNCT
ejpam-5803	295	1	subfigure	subfigure	NOUN
ejpam-5803	295	2	e	e	PROPN
ejpam-5803	295	3	contrasts	contrast	VERB
ejpam-5803	295	4	the	the	DET
ejpam-5803	295	5	overall	overall	ADJ
ejpam-5803	295	6	accuracy	accuracy	NOUN
ejpam-5803	295	7	and	and	CCONJ
ejpam-5803	295	8	precision	precision	NOUN
ejpam-5803	295	9	of	of	ADP
ejpam-5803	295	10	both	both	DET
ejpam-5803	295	11	methods	method	NOUN
ejpam-5803	295	12	,	,	PUNCT
ejpam-5803	295	13	highlighting	highlight	VERB
ejpam-5803	295	14	the	the	DET
ejpam-5803	295	15	khat	khat	PROPN
ejpam-5803	295	16	ii	ii	PROPN
ejpam-5803	295	17	method	method	PROPN
ejpam-5803	295	18	’s	’s	PART
ejpam-5803	295	19	superior	superior	ADJ
ejpam-5803	295	20	performance	performance	NOUN
ejpam-5803	295	21	in	in	ADP
ejpam-5803	295	22	terms	term	NOUN
ejpam-5803	295	23	of	of	ADP
ejpam-5803	295	24	stability	stability	NOUN
ejpam-5803	295	25	and	and	CCONJ
ejpam-5803	295	26	reliability	reliability	NOUN
ejpam-5803	295	27	.	.	PUNCT
ejpam-5803	296	1	this	this	DET
ejpam-5803	296	2	analysis	analysis	NOUN
ejpam-5803	296	3	is	be	AUX
ejpam-5803	296	4	essential	essential	ADJ
ejpam-5803	296	5	for	for	ADP
ejpam-5803	296	6	assessing	assess	VERB
ejpam-5803	296	7	the	the	DET
ejpam-5803	296	8	strengths	strength	NOUN
ejpam-5803	296	9	of	of	ADP
ejpam-5803	296	10	different	different	ADJ
ejpam-5803	296	11	analytical	analytical	ADJ
ejpam-5803	296	12	approaches	approach	NOUN
ejpam-5803	296	13	in	in	ADP
ejpam-5803	296	14	modeling	model	VERB
ejpam-5803	296	15	complex	complex	ADJ
ejpam-5803	296	16	physical	physical	ADJ
ejpam-5803	296	17	systems	system	NOUN
ejpam-5803	296	18	.	.	PUNCT
ejpam-5803	297	1	this	this	DET
ejpam-5803	297	2	figure	figure	NOUN
ejpam-5803	297	3	is	be	AUX
ejpam-5803	297	4	crucial	crucial	ADJ
ejpam-5803	297	5	for	for	ADP
ejpam-5803	297	6	comparing	compare	VERB
ejpam-5803	297	7	the	the	DET
ejpam-5803	297	8	accuracy	accuracy	NOUN
ejpam-5803	297	9	and	and	CCONJ
ejpam-5803	297	10	reliability	reliability	NOUN
ejpam-5803	297	11	of	of	ADP
ejpam-5803	297	12	the	the	DET
ejpam-5803	297	13	analytical	analytical	ADJ
ejpam-5803	297	14	methods	method	NOUN
ejpam-5803	297	15	used	use	VERB
ejpam-5803	297	16	in	in	ADP
ejpam-5803	297	17	the	the	DET
ejpam-5803	297	18	study	study	NOUN
ejpam-5803	297	19	.	.	PUNCT
ejpam-5803	298	1	m.	m.	NOUN
ejpam-5803	298	2	m.	m.	NOUN
ejpam-5803	298	3	a.	a.	NOUN
ejpam-5803	298	4	khater	khater	PROPN
ejpam-5803	298	5	/	/	SYM
ejpam-5803	298	6	eur	eur	PROPN
ejpam-5803	298	7	.	.	PUNCT
ejpam-5803	299	1	j.	j.	PROPN
ejpam-5803	299	2	pure	pure	PROPN
ejpam-5803	299	3	appl	appl	PROPN
ejpam-5803	299	4	.	.	PROPN
ejpam-5803	299	5	math	math	PROPN
ejpam-5803	299	6	,	,	PUNCT
ejpam-5803	299	7	18	18	NUM
ejpam-5803	299	8	(	(	PUNCT
ejpam-5803	299	9	4	4	NUM
ejpam-5803	299	10	)	)	PUNCT
ejpam-5803	299	11	(	(	PUNCT
ejpam-5803	299	12	2025	2025	NUM
ejpam-5803	299	13	)	)	PUNCT
ejpam-5803	299	14	,	,	PUNCT
ejpam-5803	299	15	5803	5803	NUM
ejpam-5803	299	16	16	16	NUM
ejpam-5803	299	17	of	of	ADP
ejpam-5803	299	18	31	31	NUM
ejpam-5803	299	19	•	•	NOUN
ejpam-5803	299	20	tables	table	NOUN
ejpam-5803	299	21	:	:	PUNCT
ejpam-5803	299	22	comparative	comparative	ADJ
ejpam-5803	299	23	analysis	analysis	NOUN
ejpam-5803	299	24	of	of	ADP
ejpam-5803	299	25	solutions	solution	NOUN
ejpam-5803	299	26	–	–	PUNCT
ejpam-5803	299	27	table	table	NOUN
ejpam-5803	299	28	1	1	NUM
ejpam-5803	299	29	:	:	PUNCT
ejpam-5803	299	30	comparison	comparison	NOUN
ejpam-5803	299	31	of	of	ADP
ejpam-5803	299	32	analytical	analytical	ADJ
ejpam-5803	299	33	and	and	CCONJ
ejpam-5803	299	34	numerical	numerical	ADJ
ejpam-5803	299	35	solutions	solution	NOUN
ejpam-5803	299	36	for	for	ADP
ejpam-5803	299	37	eq	eq	PROPN
ejpam-5803	299	38	.	.	PUNCT
ejpam-5803	300	1	(	(	PUNCT
ejpam-5803	300	2	17	17	NUM
ejpam-5803	300	3	):	):	PUNCT
ejpam-5803	300	4	this	this	DET
ejpam-5803	300	5	table	table	NOUN
ejpam-5803	300	6	compares	compare	VERB
ejpam-5803	300	7	analytical	analytical	ADJ
ejpam-5803	300	8	and	and	CCONJ
ejpam-5803	300	9	approximate	approximate	ADJ
ejpam-5803	300	10	solutions	solution	NOUN
ejpam-5803	300	11	for	for	ADP
ejpam-5803	300	12	eq	eq	PROPN
ejpam-5803	300	13	.	.	PUNCT
ejpam-5803	301	1	(	(	PUNCT
ejpam-5803	301	2	17	17	NUM
ejpam-5803	301	3	)	)	PUNCT
ejpam-5803	301	4	using	use	VERB
ejpam-5803	301	5	the	the	DET
ejpam-5803	301	6	adomian	adomian	NOUN
ejpam-5803	301	7	decomposition	decomposition	NOUN
ejpam-5803	301	8	scheme	scheme	NOUN
ejpam-5803	301	9	.	.	PUNCT
ejpam-5803	302	1	the	the	DET
ejpam-5803	302	2	absolute	absolute	ADJ
ejpam-5803	302	3	error	error	NOUN
ejpam-5803	302	4	values	value	NOUN
ejpam-5803	302	5	confirm	confirm	VERB
ejpam-5803	302	6	the	the	DET
ejpam-5803	302	7	decomposition	decomposition	NOUN
ejpam-5803	302	8	scheme	scheme	NOUN
ejpam-5803	302	9	’s	’s	PART
ejpam-5803	302	10	high	high	ADJ
ejpam-5803	302	11	accuracy	accuracy	NOUN
ejpam-5803	302	12	,	,	PUNCT
ejpam-5803	302	13	demonstrating	demonstrate	VERB
ejpam-5803	302	14	its	its	PRON
ejpam-5803	302	15	effectiveness	effectiveness	NOUN
ejpam-5803	302	16	in	in	ADP
ejpam-5803	302	17	capturing	capture	VERB
ejpam-5803	302	18	the	the	DET
ejpam-5803	302	19	analytical	analytical	ADJ
ejpam-5803	302	20	solution	solution	NOUN
ejpam-5803	302	21	’s	’s	PART
ejpam-5803	302	22	behavior	behavior	NOUN
ejpam-5803	302	23	with	with	ADP
ejpam-5803	302	24	minimal	minimal	ADJ
ejpam-5803	302	25	deviation	deviation	NOUN
ejpam-5803	302	26	.	.	PUNCT
ejpam-5803	303	1	–	–	PUNCT
ejpam-5803	303	2	table	table	NOUN
ejpam-5803	303	3	2	2	NUM
ejpam-5803	303	4	:	:	PUNCT
ejpam-5803	303	5	comparison	comparison	NOUN
ejpam-5803	303	6	of	of	ADP
ejpam-5803	303	7	analytical	analytical	ADJ
ejpam-5803	303	8	and	and	CCONJ
ejpam-5803	303	9	numerical	numerical	ADJ
ejpam-5803	303	10	solutions	solution	NOUN
ejpam-5803	303	11	for	for	ADP
ejpam-5803	303	12	eq	eq	PROPN
ejpam-5803	303	13	.	.	PUNCT
ejpam-5803	304	1	(	(	PUNCT
ejpam-5803	304	2	27	27	NUM
ejpam-5803	304	3	):	):	PUNCT
ejpam-5803	304	4	this	this	DET
ejpam-5803	304	5	table	table	NOUN
ejpam-5803	304	6	compares	compare	VERB
ejpam-5803	304	7	analytical	analytical	ADJ
ejpam-5803	304	8	and	and	CCONJ
ejpam-5803	304	9	approximate	approximate	ADJ
ejpam-5803	304	10	solutions	solution	NOUN
ejpam-5803	304	11	for	for	ADP
ejpam-5803	304	12	eq	eq	PROPN
ejpam-5803	304	13	.	.	PUNCT
ejpam-5803	305	1	(	(	PUNCT
ejpam-5803	305	2	27	27	NUM
ejpam-5803	305	3	)	)	PUNCT
ejpam-5803	305	4	,	,	PUNCT
ejpam-5803	305	5	emphasizing	emphasize	VERB
ejpam-5803	305	6	the	the	DET
ejpam-5803	305	7	adomian	adomian	NOUN
ejpam-5803	305	8	decomposition	decomposition	NOUN
ejpam-5803	305	9	scheme	scheme	NOUN
ejpam-5803	305	10	’s	’s	PART
ejpam-5803	305	11	robustness	robustness	NOUN
ejpam-5803	305	12	in	in	ADP
ejpam-5803	305	13	producing	produce	VERB
ejpam-5803	305	14	solutions	solution	NOUN
ejpam-5803	305	15	that	that	PRON
ejpam-5803	305	16	closely	closely	ADV
ejpam-5803	305	17	match	match	VERB
ejpam-5803	305	18	the	the	DET
ejpam-5803	305	19	analytical	analytical	ADJ
ejpam-5803	305	20	model	model	NOUN
ejpam-5803	305	21	.	.	PUNCT
ejpam-5803	306	1	this	this	DET
ejpam-5803	306	2	further	far	ADV
ejpam-5803	306	3	confirms	confirm	VERB
ejpam-5803	306	4	the	the	DET
ejpam-5803	306	5	scheme	scheme	NOUN
ejpam-5803	306	6	’s	’s	PART
ejpam-5803	306	7	consistency	consistency	NOUN
ejpam-5803	306	8	and	and	CCONJ
ejpam-5803	306	9	reliability	reliability	NOUN
ejpam-5803	306	10	across	across	ADP
ejpam-5803	306	11	different	different	ADJ
ejpam-5803	306	12	model	model	NOUN
ejpam-5803	306	13	parameters	parameter	NOUN
ejpam-5803	306	14	.	.	PUNCT
ejpam-5803	307	1	these	these	DET
ejpam-5803	307	2	graphical	graphical	ADJ
ejpam-5803	307	3	representations	representation	NOUN
ejpam-5803	307	4	and	and	CCONJ
ejpam-5803	307	5	comparative	comparative	ADJ
ejpam-5803	307	6	analyses	analysis	NOUN
ejpam-5803	307	7	offer	offer	VERB
ejpam-5803	307	8	valuable	valuable	ADJ
ejpam-5803	307	9	insights	insight	NOUN
ejpam-5803	307	10	into	into	ADP
ejpam-5803	307	11	the	the	DET
ejpam-5803	307	12	dynamics	dynamic	NOUN
ejpam-5803	307	13	of	of	ADP
ejpam-5803	307	14	the	the	DET
ejpam-5803	307	15	solutions	solution	NOUN
ejpam-5803	307	16	derived	derive	VERB
ejpam-5803	307	17	through	through	ADP
ejpam-5803	307	18	the	the	DET
ejpam-5803	307	19	khat	khat	PROPN
ejpam-5803	307	20	ii	ii	PROPN
ejpam-5803	307	21	and	and	CCONJ
ejpam-5803	307	22	ekud	ekud	NOUN
ejpam-5803	307	23	methods	method	NOUN
ejpam-5803	307	24	.	.	PUNCT
ejpam-5803	308	1	the	the	DET
ejpam-5803	308	2	visualizations	visualization	NOUN
ejpam-5803	308	3	effectively	effectively	ADV
ejpam-5803	308	4	reveal	reveal	VERB
ejpam-5803	308	5	critical	critical	ADJ
ejpam-5803	308	6	properties	property	NOUN
ejpam-5803	308	7	such	such	ADJ
ejpam-5803	308	8	as	as	ADP
ejpam-5803	308	9	amplitude	amplitude	NOUN
ejpam-5803	308	10	stability	stability	NOUN
ejpam-5803	308	11	,	,	PUNCT
ejpam-5803	308	12	energy	energy	NOUN
ejpam-5803	308	13	propagation	propagation	NOUN
ejpam-5803	308	14	,	,	PUNCT
ejpam-5803	308	15	and	and	CCONJ
ejpam-5803	308	16	waveform	waveform	VERB
ejpam-5803	308	17	behavior	behavior	NOUN
ejpam-5803	308	18	,	,	PUNCT
ejpam-5803	308	19	which	which	PRON
ejpam-5803	308	20	are	be	AUX
ejpam-5803	308	21	essential	essential	ADJ
ejpam-5803	308	22	for	for	ADP
ejpam-5803	308	23	understanding	understand	VERB
ejpam-5803	308	24	the	the	DET
ejpam-5803	308	25	underlying	underlying	ADJ
ejpam-5803	308	26	physical	physical	ADJ
ejpam-5803	308	27	phenomena	phenomenon	NOUN
ejpam-5803	308	28	.	.	PUNCT
ejpam-5803	309	1	moreover	moreover	ADV
ejpam-5803	309	2	,	,	PUNCT
ejpam-5803	309	3	the	the	DET
ejpam-5803	309	4	comparison	comparison	NOUN
ejpam-5803	309	5	between	between	ADP
ejpam-5803	309	6	analytical	analytical	ADJ
ejpam-5803	309	7	and	and	CCONJ
ejpam-5803	309	8	numerical	numerical	ADJ
ejpam-5803	309	9	solutions	solution	NOUN
ejpam-5803	309	10	underscores	underscore	VERB
ejpam-5803	309	11	the	the	DET
ejpam-5803	309	12	accuracy	accuracy	NOUN
ejpam-5803	309	13	and	and	CCONJ
ejpam-5803	309	14	reliability	reliability	NOUN
ejpam-5803	309	15	of	of	ADP
ejpam-5803	309	16	the	the	DET
ejpam-5803	309	17	khat	khat	PROPN
ejpam-5803	309	18	ii	ii	PROPN
ejpam-5803	309	19	method	method	NOUN
ejpam-5803	309	20	,	,	PUNCT
ejpam-5803	309	21	particularly	particularly	ADV
ejpam-5803	309	22	in	in	ADP
ejpam-5803	309	23	maintaining	maintain	VERB
ejpam-5803	309	24	solution	solution	NOUN
ejpam-5803	309	25	stability	stability	NOUN
ejpam-5803	309	26	over	over	ADP
ejpam-5803	309	27	time	time	NOUN
ejpam-5803	309	28	.	.	PUNCT
ejpam-5803	310	1	these	these	DET
ejpam-5803	310	2	findings	finding	NOUN
ejpam-5803	310	3	highlight	highlight	VERB
ejpam-5803	310	4	the	the	DET
ejpam-5803	310	5	importance	importance	NOUN
ejpam-5803	310	6	of	of	ADP
ejpam-5803	310	7	precise	precise	ADJ
ejpam-5803	310	8	analytical	analytical	ADJ
ejpam-5803	310	9	methods	method	NOUN
ejpam-5803	310	10	in	in	ADP
ejpam-5803	310	11	accurately	accurately	ADV
ejpam-5803	310	12	modeling	model	VERB
ejpam-5803	310	13	complex	complex	ADJ
ejpam-5803	310	14	wave	wave	NOUN
ejpam-5803	310	15	interactions	interaction	NOUN
ejpam-5803	310	16	within	within	ADP
ejpam-5803	310	17	nonlinear	nonlinear	ADJ
ejpam-5803	310	18	systems	system	NOUN
ejpam-5803	310	19	,	,	PUNCT
ejpam-5803	310	20	with	with	ADP
ejpam-5803	310	21	broad	broad	ADJ
ejpam-5803	310	22	implications	implication	NOUN
ejpam-5803	310	23	for	for	ADP
ejpam-5803	310	24	fields	field	NOUN
ejpam-5803	310	25	such	such	ADJ
ejpam-5803	310	26	as	as	ADP
ejpam-5803	310	27	fluid	fluid	ADJ
ejpam-5803	310	28	dynamics	dynamic	NOUN
ejpam-5803	310	29	and	and	CCONJ
ejpam-5803	310	30	wave	wave	NOUN
ejpam-5803	310	31	propagation	propagation	NOUN
ejpam-5803	310	32	.	.	PUNCT
ejpam-5803	311	1	the	the	DET
ejpam-5803	311	2	results	result	NOUN
ejpam-5803	311	3	validate	validate	VERB
ejpam-5803	311	4	the	the	DET
ejpam-5803	311	5	effectiveness	effectiveness	NOUN
ejpam-5803	311	6	of	of	ADP
ejpam-5803	311	7	the	the	DET
ejpam-5803	311	8	chosen	choose	VERB
ejpam-5803	311	9	methods	method	NOUN
ejpam-5803	311	10	,	,	PUNCT
ejpam-5803	311	11	providing	provide	VERB
ejpam-5803	311	12	a	a	DET
ejpam-5803	311	13	reliable	reliable	ADJ
ejpam-5803	311	14	foundation	foundation	NOUN
ejpam-5803	311	15	for	for	ADP
ejpam-5803	311	16	future	future	ADJ
ejpam-5803	311	17	studies	study	NOUN
ejpam-5803	311	18	in	in	ADP
ejpam-5803	311	19	nonlinear	nonlinear	ADJ
ejpam-5803	311	20	dynamics	dynamic	NOUN
ejpam-5803	311	21	and	and	CCONJ
ejpam-5803	311	22	mathematical	mathematical	ADJ
ejpam-5803	311	23	modeling	modeling	NOUN
ejpam-5803	311	24	.	.	PUNCT
ejpam-5803	312	1	figure	figure	NOUN
ejpam-5803	312	2	1	1	NUM
ejpam-5803	312	3	:	:	PUNCT
ejpam-5803	312	4	bifurcation	bifurcation	NOUN
ejpam-5803	312	5	diagrams	diagram	NOUN
ejpam-5803	312	6	illustrating	illustrate	VERB
ejpam-5803	312	7	the	the	DET
ejpam-5803	312	8	phase	phase	NOUN
ejpam-5803	312	9	-	-	PUNCT
ejpam-5803	312	10	space	space	NOUN
ejpam-5803	312	11	trajectories	trajectory	NOUN
ejpam-5803	312	12	of	of	ADP
ejpam-5803	312	13	the	the	DET
ejpam-5803	312	14	fchfa	fchfa	ADJ
ejpam-5803	312	15	model	model	NOUN
ejpam-5803	312	16	for	for	ADP
ejpam-5803	312	17	various	various	ADJ
ejpam-5803	312	18	parameter	parameter	NOUN
ejpam-5803	312	19	values	value	NOUN
ejpam-5803	312	20	.	.	PUNCT
ejpam-5803	313	1	m.	m.	NOUN
ejpam-5803	313	2	m.	m.	NOUN
ejpam-5803	313	3	a.	a.	NOUN
ejpam-5803	313	4	khater	khater	PROPN
ejpam-5803	313	5	/	/	SYM
ejpam-5803	313	6	eur	eur	PROPN
ejpam-5803	313	7	.	.	PUNCT
ejpam-5803	314	1	j.	j.	PROPN
ejpam-5803	314	2	pure	pure	PROPN
ejpam-5803	314	3	appl	appl	PROPN
ejpam-5803	314	4	.	.	PROPN
ejpam-5803	314	5	math	math	PROPN
ejpam-5803	314	6	,	,	PUNCT
ejpam-5803	314	7	18	18	NUM
ejpam-5803	314	8	(	(	PUNCT
ejpam-5803	314	9	4	4	NUM
ejpam-5803	314	10	)	)	PUNCT
ejpam-5803	314	11	(	(	PUNCT
ejpam-5803	314	12	2025	2025	NUM
ejpam-5803	314	13	)	)	PUNCT
ejpam-5803	314	14	,	,	PUNCT
ejpam-5803	314	15	5803	5803	NUM
ejpam-5803	314	16	17	17	NUM
ejpam-5803	314	17	of	of	ADP
ejpam-5803	314	18	31	31	NUM
ejpam-5803	314	19	figure	figure	NOUN
ejpam-5803	314	20	2	2	NUM
ejpam-5803	314	21	:	:	PUNCT
ejpam-5803	314	22	phase	phase	NOUN
ejpam-5803	314	23	portraits	portrait	NOUN
ejpam-5803	314	24	of	of	ADP
ejpam-5803	314	25	the	the	DET
ejpam-5803	314	26	nonlinear	nonlinear	ADJ
ejpam-5803	314	27	dynamical	dynamical	ADJ
ejpam-5803	314	28	system	system	NOUN
ejpam-5803	314	29	,	,	PUNCT
ejpam-5803	314	30	depicting	depict	VERB
ejpam-5803	314	31	chaotic	chaotic	ADJ
ejpam-5803	314	32	and	and	CCONJ
ejpam-5803	314	33	quasi	quasi	ADJ
ejpam-5803	314	34	-	-	ADJ
ejpam-5803	314	35	periodic	periodic	ADJ
ejpam-5803	314	36	dynamics	dynamic	NOUN
ejpam-5803	314	37	under	under	ADP
ejpam-5803	314	38	perturbations	perturbation	NOUN
ejpam-5803	314	39	.	.	PUNCT
ejpam-5803	315	1	5	5	X
ejpam-5803	315	2	.	.	X
ejpam-5803	315	3	results	result	NOUN
ejpam-5803	315	4	and	and	CCONJ
ejpam-5803	315	5	discussion	discussion	NOUN
ejpam-5803	315	6	this	this	DET
ejpam-5803	315	7	study	study	NOUN
ejpam-5803	315	8	explores	explore	VERB
ejpam-5803	315	9	analytical	analytical	ADJ
ejpam-5803	315	10	solutions	solution	NOUN
ejpam-5803	315	11	for	for	ADP
ejpam-5803	315	12	a	a	DET
ejpam-5803	315	13	nonlinear	nonlinear	ADJ
ejpam-5803	315	14	model	model	NOUN
ejpam-5803	315	15	using	use	VERB
ejpam-5803	315	16	the	the	DET
ejpam-5803	315	17	khat	khat	PROPN
ejpam-5803	315	18	ii	ii	PROPN
ejpam-5803	315	19	and	and	CCONJ
ejpam-5803	315	20	ekud	ekud	NOUN
ejpam-5803	315	21	methods	method	NOUN
ejpam-5803	315	22	,	,	PUNCT
ejpam-5803	315	23	revealing	reveal	VERB
ejpam-5803	315	24	distinct	distinct	ADJ
ejpam-5803	315	25	solitary	solitary	ADJ
ejpam-5803	315	26	wave	wave	NOUN
ejpam-5803	315	27	characteristics	characteristic	NOUN
ejpam-5803	315	28	.	.	PUNCT
ejpam-5803	316	1	through	through	ADP
ejpam-5803	316	2	graphical	graphical	ADJ
ejpam-5803	316	3	representations	representation	NOUN
ejpam-5803	316	4	,	,	PUNCT
ejpam-5803	316	5	the	the	DET
ejpam-5803	316	6	research	research	NOUN
ejpam-5803	316	7	examines	examine	VERB
ejpam-5803	316	8	how	how	SCONJ
ejpam-5803	316	9	these	these	DET
ejpam-5803	316	10	waveforms	waveform	NOUN
ejpam-5803	316	11	evolve	evolve	VERB
ejpam-5803	316	12	under	under	ADP
ejpam-5803	316	13	different	different	ADJ
ejpam-5803	316	14	parameter	parameter	NOUN
ejpam-5803	316	15	conditions	condition	NOUN
ejpam-5803	316	16	,	,	PUNCT
ejpam-5803	316	17	focusing	focus	VERB
ejpam-5803	316	18	on	on	ADP
ejpam-5803	316	19	amplitude	amplitude	NOUN
ejpam-5803	316	20	stability	stability	NOUN
ejpam-5803	316	21	,	,	PUNCT
ejpam-5803	316	22	phase	phase	NOUN
ejpam-5803	316	23	shifts	shift	NOUN
ejpam-5803	316	24	,	,	PUNCT
ejpam-5803	316	25	and	and	CCONJ
ejpam-5803	316	26	energy	energy	NOUN
ejpam-5803	316	27	propagation	propagation	NOUN
ejpam-5803	316	28	.	.	PUNCT
ejpam-5803	317	1	by	by	ADP
ejpam-5803	317	2	comparing	compare	VERB
ejpam-5803	317	3	analytical	analytical	ADJ
ejpam-5803	317	4	and	and	CCONJ
ejpam-5803	317	5	numerical	numerical	ADJ
ejpam-5803	317	6	solutions	solution	NOUN
ejpam-5803	317	7	,	,	PUNCT
ejpam-5803	317	8	this	this	DET
ejpam-5803	317	9	investigation	investigation	NOUN
ejpam-5803	317	10	highlights	highlight	VERB
ejpam-5803	317	11	the	the	DET
ejpam-5803	317	12	khat	khat	PROPN
ejpam-5803	317	13	ii	ii	PROPN
ejpam-5803	317	14	method	method	PROPN
ejpam-5803	317	15	’s	’s	PART
ejpam-5803	317	16	effectiveness	effectiveness	NOUN
ejpam-5803	317	17	in	in	ADP
ejpam-5803	317	18	accurately	accurately	ADV
ejpam-5803	317	19	capturing	capture	VERB
ejpam-5803	317	20	complex	complex	ADJ
ejpam-5803	317	21	nonlinear	nonlinear	ADJ
ejpam-5803	317	22	dynamics	dynamic	NOUN
ejpam-5803	317	23	,	,	PUNCT
ejpam-5803	317	24	offering	offer	VERB
ejpam-5803	317	25	valuable	valuable	ADJ
ejpam-5803	317	26	insights	insight	NOUN
ejpam-5803	317	27	into	into	ADP
ejpam-5803	317	28	soliton	soliton	NOUN
ejpam-5803	317	29	-	-	PUNCT
ejpam-5803	317	30	like	like	ADJ
ejpam-5803	317	31	wave	wave	NOUN
ejpam-5803	317	32	behavior	behavior	NOUN
ejpam-5803	317	33	in	in	ADP
ejpam-5803	317	34	applied	applied	ADJ
ejpam-5803	317	35	physics	physic	NOUN
ejpam-5803	317	36	.	.	PUNCT
ejpam-5803	318	1	the	the	DET
ejpam-5803	318	2	study	study	NOUN
ejpam-5803	318	3	successfully	successfully	ADV
ejpam-5803	318	4	derived	derive	VERB
ejpam-5803	318	5	analytical	analytical	ADJ
ejpam-5803	318	6	solutions	solution	NOUN
ejpam-5803	318	7	for	for	ADP
ejpam-5803	318	8	the	the	DET
ejpam-5803	318	9	model	model	NOUN
ejpam-5803	318	10	using	use	VERB
ejpam-5803	318	11	the	the	DET
ejpam-5803	318	12	khat	khat	PROPN
ejpam-5803	318	13	ii	ii	PROPN
ejpam-5803	318	14	and	and	CCONJ
ejpam-5803	318	15	ekud	ekud	NOUN
ejpam-5803	318	16	methods	method	NOUN
ejpam-5803	318	17	.	.	PUNCT
ejpam-5803	319	1	these	these	DET
ejpam-5803	319	2	solutions	solution	NOUN
ejpam-5803	319	3	,	,	PUNCT
ejpam-5803	319	4	presented	present	VERB
ejpam-5803	319	5	in	in	ADP
ejpam-5803	319	6	figs	fig	NOUN
ejpam-5803	319	7	.	.	PUNCT
ejpam-5803	319	8	5	5	NUM
ejpam-5803	319	9	to	to	PART
ejpam-5803	319	10	8	8	NUM
ejpam-5803	319	11	and	and	CCONJ
ejpam-5803	319	12	tables	table	NOUN
ejpam-5803	319	13	1	1	NUM
ejpam-5803	319	14	and	and	CCONJ
ejpam-5803	319	15	2	2	NUM
ejpam-5803	319	16	,	,	PUNCT
ejpam-5803	319	17	illustrate	illustrate	VERB
ejpam-5803	319	18	how	how	SCONJ
ejpam-5803	319	19	solitary	solitary	ADJ
ejpam-5803	319	20	waveforms	waveform	NOUN
ejpam-5803	319	21	evolve	evolve	VERB
ejpam-5803	319	22	under	under	ADP
ejpam-5803	319	23	various	various	ADJ
ejpam-5803	319	24	parameter	parameter	NOUN
ejpam-5803	319	25	configurations	configuration	NOUN
ejpam-5803	319	26	.	.	PUNCT
ejpam-5803	320	1	the	the	DET
ejpam-5803	320	2	graphical	graphical	ADJ
ejpam-5803	320	3	repm	repm	NOUN
ejpam-5803	320	4	.	.	PUNCT
ejpam-5803	321	1	m.	m.	NOUN
ejpam-5803	321	2	a.	a.	NOUN
ejpam-5803	321	3	khater	khater	PROPN
ejpam-5803	321	4	/	/	SYM
ejpam-5803	321	5	eur	eur	PROPN
ejpam-5803	321	6	.	.	PUNCT
ejpam-5803	322	1	j.	j.	PROPN
ejpam-5803	322	2	pure	pure	PROPN
ejpam-5803	322	3	appl	appl	PROPN
ejpam-5803	322	4	.	.	PROPN
ejpam-5803	322	5	math	math	PROPN
ejpam-5803	322	6	,	,	PUNCT
ejpam-5803	322	7	18	18	NUM
ejpam-5803	322	8	(	(	PUNCT
ejpam-5803	322	9	4	4	NUM
ejpam-5803	322	10	)	)	PUNCT
ejpam-5803	322	11	(	(	PUNCT
ejpam-5803	322	12	2025	2025	NUM
ejpam-5803	322	13	)	)	PUNCT
ejpam-5803	322	14	,	,	PUNCT
ejpam-5803	322	15	5803	5803	NUM
ejpam-5803	322	16	18	18	NUM
ejpam-5803	322	17	of	of	ADP
ejpam-5803	322	18	31	31	NUM
ejpam-5803	322	19	figure	figure	NOUN
ejpam-5803	322	20	3	3	NUM
ejpam-5803	322	21	:	:	PUNCT
ejpam-5803	322	22	sensitivity	sensitivity	NOUN
ejpam-5803	322	23	analysis	analysis	NOUN
ejpam-5803	322	24	of	of	ADP
ejpam-5803	322	25	the	the	DET
ejpam-5803	322	26	fchfa	fchfa	NOUN
ejpam-5803	322	27	model	model	NOUN
ejpam-5803	322	28	,	,	PUNCT
ejpam-5803	322	29	highlighting	highlight	VERB
ejpam-5803	322	30	the	the	DET
ejpam-5803	322	31	effects	effect	NOUN
ejpam-5803	322	32	of	of	ADP
ejpam-5803	322	33	parameter	parameter	NOUN
ejpam-5803	322	34	perturbations	perturbation	NOUN
ejpam-5803	322	35	.	.	PUNCT
ejpam-5803	323	1	resentations	resentation	NOUN
ejpam-5803	323	2	provide	provide	VERB
ejpam-5803	323	3	insights	insight	NOUN
ejpam-5803	323	4	into	into	ADP
ejpam-5803	323	5	key	key	ADJ
ejpam-5803	323	6	waveform	waveform	NOUN
ejpam-5803	323	7	characteristics	characteristic	NOUN
ejpam-5803	323	8	,	,	PUNCT
ejpam-5803	323	9	such	such	ADJ
ejpam-5803	323	10	as	as	ADP
ejpam-5803	323	11	amplitude	amplitude	NOUN
ejpam-5803	323	12	stability	stability	NOUN
ejpam-5803	323	13	,	,	PUNCT
ejpam-5803	323	14	phase	phase	NOUN
ejpam-5803	323	15	shifts	shift	NOUN
ejpam-5803	323	16	,	,	PUNCT
ejpam-5803	323	17	and	and	CCONJ
ejpam-5803	323	18	energy	energy	NOUN
ejpam-5803	323	19	propagation	propagation	NOUN
ejpam-5803	323	20	patterns	pattern	NOUN
ejpam-5803	323	21	.	.	PUNCT
ejpam-5803	324	1	the	the	DET
ejpam-5803	324	2	khat	khat	PROPN
ejpam-5803	324	3	ii	ii	PROPN
ejpam-5803	324	4	method	method	NOUN
ejpam-5803	324	5	demonstrated	demonstrate	VERB
ejpam-5803	324	6	superior	superior	ADJ
ejpam-5803	324	7	accuracy	accuracy	NOUN
ejpam-5803	324	8	in	in	ADP
ejpam-5803	324	9	approximating	approximate	VERB
ejpam-5803	324	10	analytical	analytical	ADJ
ejpam-5803	324	11	solutions	solution	NOUN
ejpam-5803	324	12	,	,	PUNCT
ejpam-5803	324	13	as	as	SCONJ
ejpam-5803	324	14	shown	show	VERB
ejpam-5803	324	15	by	by	ADP
ejpam-5803	324	16	the	the	DET
ejpam-5803	324	17	minimal	minimal	ADJ
ejpam-5803	324	18	errors	error	NOUN
ejpam-5803	324	19	in	in	ADP
ejpam-5803	324	20	table	table	NOUN
ejpam-5803	324	21	1	1	NUM
ejpam-5803	324	22	.	.	PUNCT
ejpam-5803	325	1	data	datum	NOUN
ejpam-5803	325	2	analysis	analysis	NOUN
ejpam-5803	325	3	involved	involve	VERB
ejpam-5803	325	4	comparing	compare	VERB
ejpam-5803	325	5	analytical	analytical	ADJ
ejpam-5803	325	6	and	and	CCONJ
ejpam-5803	325	7	numerical	numerical	ADJ
ejpam-5803	325	8	solutions	solution	NOUN
ejpam-5803	325	9	generated	generate	VERB
ejpam-5803	325	10	through	through	ADP
ejpam-5803	325	11	the	the	DET
ejpam-5803	325	12	adomian	adomian	NOUN
ejpam-5803	325	13	decomposition	decomposition	NOUN
ejpam-5803	325	14	scheme	scheme	NOUN
ejpam-5803	325	15	,	,	PUNCT
ejpam-5803	325	16	revealing	reveal	VERB
ejpam-5803	325	17	error	error	NOUN
ejpam-5803	325	18	values	value	NOUN
ejpam-5803	325	19	on	on	ADP
ejpam-5803	325	20	the	the	DET
ejpam-5803	325	21	order	order	NOUN
ejpam-5803	325	22	of	of	ADP
ejpam-5803	325	23	10−12	10−12	NOUN
ejpam-5803	325	24	and	and	CCONJ
ejpam-5803	325	25	10−14	10−14	NOUN
ejpam-5803	325	26	.	.	PUNCT
ejpam-5803	326	1	this	this	PRON
ejpam-5803	326	2	indicates	indicate	VERB
ejpam-5803	326	3	a	a	DET
ejpam-5803	326	4	high	high	ADJ
ejpam-5803	326	5	degree	degree	NOUN
ejpam-5803	326	6	of	of	ADP
ejpam-5803	326	7	consistency	consistency	NOUN
ejpam-5803	326	8	between	between	ADP
ejpam-5803	326	9	the	the	DET
ejpam-5803	326	10	two	two	NUM
ejpam-5803	326	11	approaches	approach	NOUN
ejpam-5803	326	12	.	.	PUNCT
ejpam-5803	327	1	the	the	DET
ejpam-5803	327	2	trends	trend	NOUN
ejpam-5803	327	3	observed	observe	VERB
ejpam-5803	327	4	in	in	ADP
ejpam-5803	327	5	amplitude	amplitude	NOUN
ejpam-5803	327	6	growth	growth	NOUN
ejpam-5803	327	7	and	and	CCONJ
ejpam-5803	327	8	waveform	waveform	VERB
ejpam-5803	327	9	expansion	expansion	NOUN
ejpam-5803	327	10	,	,	PUNCT
ejpam-5803	327	11	especially	especially	ADV
ejpam-5803	327	12	in	in	ADP
ejpam-5803	327	13	the	the	DET
ejpam-5803	327	14	imaginary	imaginary	ADJ
ejpam-5803	327	15	components	component	NOUN
ejpam-5803	327	16	,	,	PUNCT
ejpam-5803	327	17	suggest	suggest	VERB
ejpam-5803	327	18	continuous	continuous	ADJ
ejpam-5803	327	19	energy	energy	NOUN
ejpam-5803	327	20	transfer	transfer	NOUN
ejpam-5803	327	21	,	,	PUNCT
ejpam-5803	327	22	a	a	DET
ejpam-5803	327	23	hallmark	hallmark	NOUN
ejpam-5803	327	24	of	of	ADP
ejpam-5803	327	25	solitary	solitary	ADJ
ejpam-5803	327	26	waves	wave	NOUN
ejpam-5803	327	27	.	.	PUNCT
ejpam-5803	328	1	the	the	DET
ejpam-5803	328	2	results	result	NOUN
ejpam-5803	328	3	indicate	indicate	VERB
ejpam-5803	328	4	that	that	SCONJ
ejpam-5803	328	5	the	the	DET
ejpam-5803	328	6	derived	derive	VERB
ejpam-5803	328	7	solitary	solitary	ADJ
ejpam-5803	328	8	wave	wave	NOUN
ejpam-5803	328	9	solutions	solution	NOUN
ejpam-5803	328	10	exhibit	exhibit	VERB
ejpam-5803	328	11	soliton	soliton	NOUN
ejpam-5803	328	12	-	-	PUNCT
ejpam-5803	328	13	like	like	ADJ
ejpam-5803	328	14	behavior	behavior	NOUN
ejpam-5803	328	15	,	,	PUNCT
ejpam-5803	328	16	maintaining	maintain	VERB
ejpam-5803	328	17	amplitude	amplitude	NOUN
ejpam-5803	328	18	and	and	CCONJ
ejpam-5803	328	19	shape	shape	VERB
ejpam-5803	328	20	stability	stability	NOUN
ejpam-5803	328	21	over	over	ADP
ejpam-5803	328	22	time	time	NOUN
ejpam-5803	328	23	,	,	PUNCT
ejpam-5803	328	24	which	which	PRON
ejpam-5803	328	25	is	be	AUX
ejpam-5803	328	26	crucial	crucial	ADJ
ejpam-5803	328	27	for	for	ADP
ejpam-5803	328	28	applications	application	NOUN
ejpam-5803	328	29	in	in	ADP
ejpam-5803	328	30	fields	field	NOUN
ejpam-5803	328	31	such	such	ADJ
ejpam-5803	328	32	as	as	ADP
ejpam-5803	328	33	fluid	fluid	ADJ
ejpam-5803	328	34	dynamics	dynamic	NOUN
ejpam-5803	328	35	and	and	CCONJ
ejpam-5803	328	36	nonlinear	nonlinear	ADJ
ejpam-5803	328	37	wave	wave	NOUN
ejpam-5803	328	38	propagation	propagation	NOUN
ejpam-5803	328	39	.	.	PUNCT
ejpam-5803	329	1	these	these	DET
ejpam-5803	329	2	findings	finding	NOUN
ejpam-5803	329	3	underscore	underscore	VERB
ejpam-5803	329	4	the	the	DET
ejpam-5803	329	5	khat	khat	PROPN
ejpam-5803	329	6	ii	ii	PROPN
ejpam-5803	329	7	method	method	PROPN
ejpam-5803	329	8	’s	’s	PART
ejpam-5803	329	9	effectiveness	effectiveness	NOUN
ejpam-5803	329	10	in	in	ADP
ejpam-5803	329	11	capturing	capture	VERB
ejpam-5803	329	12	complex	complex	ADJ
ejpam-5803	329	13	dynamics	dynamic	NOUN
ejpam-5803	329	14	within	within	ADP
ejpam-5803	329	15	nonlinear	nonlinear	ADJ
ejpam-5803	329	16	systems	system	NOUN
ejpam-5803	329	17	,	,	PUNCT
ejpam-5803	329	18	as	as	SCONJ
ejpam-5803	329	19	evidenced	evidence	VERB
ejpam-5803	329	20	by	by	ADP
ejpam-5803	329	21	phase	phase	NOUN
ejpam-5803	329	22	shifts	shift	NOUN
ejpam-5803	329	23	and	and	CCONJ
ejpam-5803	329	24	oscillatory	oscillatory	ADJ
ejpam-5803	329	25	behaviors	behavior	NOUN
ejpam-5803	329	26	in	in	ADP
ejpam-5803	329	27	the	the	DET
ejpam-5803	329	28	waveforms	waveform	NOUN
ejpam-5803	329	29	.	.	PUNCT
ejpam-5803	330	1	while	while	SCONJ
ejpam-5803	330	2	the	the	DET
ejpam-5803	330	3	results	result	NOUN
ejpam-5803	330	4	generally	generally	ADV
ejpam-5803	330	5	aligned	align	VERB
ejpam-5803	330	6	with	with	ADP
ejpam-5803	330	7	theoretical	theoretical	ADJ
ejpam-5803	330	8	expectations	expectation	NOUN
ejpam-5803	330	9	,	,	PUNCT
ejpam-5803	330	10	some	some	DET
ejpam-5803	330	11	discrepancies	discrepancy	NOUN
ejpam-5803	330	12	emerged	emerge	VERB
ejpam-5803	330	13	regarding	regard	VERB
ejpam-5803	330	14	waveform	waveform	NOUN
ejpam-5803	330	15	stability	stability	NOUN
ejpam-5803	330	16	over	over	ADP
ejpam-5803	330	17	extended	extended	ADJ
ejpam-5803	330	18	periods	period	NOUN
ejpam-5803	330	19	.	.	PUNCT
ejpam-5803	331	1	this	this	PRON
ejpam-5803	331	2	differs	differ	VERB
ejpam-5803	331	3	from	from	ADP
ejpam-5803	331	4	prior	prior	ADJ
ejpam-5803	331	5	studm	studm	NOUN
ejpam-5803	331	6	.	.	PUNCT
ejpam-5803	332	1	m.	m.	NOUN
ejpam-5803	332	2	a.	a.	NOUN
ejpam-5803	332	3	khater	khater	PROPN
ejpam-5803	332	4	/	/	SYM
ejpam-5803	332	5	eur	eur	PROPN
ejpam-5803	332	6	.	.	PUNCT
ejpam-5803	333	1	j.	j.	PROPN
ejpam-5803	333	2	pure	pure	PROPN
ejpam-5803	333	3	appl	appl	PROPN
ejpam-5803	333	4	.	.	PROPN
ejpam-5803	333	5	math	math	PROPN
ejpam-5803	333	6	,	,	PUNCT
ejpam-5803	333	7	18	18	NUM
ejpam-5803	333	8	(	(	PUNCT
ejpam-5803	333	9	4	4	NUM
ejpam-5803	333	10	)	)	PUNCT
ejpam-5803	333	11	(	(	PUNCT
ejpam-5803	333	12	2025	2025	NUM
ejpam-5803	333	13	)	)	PUNCT
ejpam-5803	333	14	,	,	PUNCT
ejpam-5803	333	15	5803	5803	NUM
ejpam-5803	333	16	19	19	NUM
ejpam-5803	333	17	of	of	ADP
ejpam-5803	333	18	31	31	NUM
ejpam-5803	333	19	figure	figure	NOUN
ejpam-5803	333	20	4	4	NUM
ejpam-5803	333	21	:	:	PUNCT
ejpam-5803	333	22	sensitivity	sensitivity	NOUN
ejpam-5803	333	23	analysis	analysis	NOUN
ejpam-5803	333	24	of	of	ADP
ejpam-5803	333	25	the	the	DET
ejpam-5803	333	26	nonlinear	nonlinear	ADJ
ejpam-5803	333	27	dynamical	dynamical	ADJ
ejpam-5803	333	28	system	system	NOUN
ejpam-5803	333	29	,	,	PUNCT
ejpam-5803	333	30	examining	examine	VERB
ejpam-5803	333	31	effects	effect	NOUN
ejpam-5803	333	32	from	from	ADP
ejpam-5803	333	33	various	various	ADJ
ejpam-5803	333	34	initial	initial	ADJ
ejpam-5803	333	35	positions	position	NOUN
ejpam-5803	333	36	.	.	PUNCT
ejpam-5803	334	1	ies	ie	NOUN
ejpam-5803	334	2	that	that	PRON
ejpam-5803	334	3	observed	observe	VERB
ejpam-5803	334	4	more	more	ADV
ejpam-5803	334	5	pronounced	pronounced	ADJ
ejpam-5803	334	6	amplitude	amplitude	NOUN
ejpam-5803	334	7	variations	variation	NOUN
ejpam-5803	334	8	and	and	CCONJ
ejpam-5803	334	9	may	may	AUX
ejpam-5803	334	10	be	be	AUX
ejpam-5803	334	11	attributed	attribute	VERB
ejpam-5803	334	12	to	to	ADP
ejpam-5803	334	13	variations	variation	NOUN
ejpam-5803	334	14	in	in	ADP
ejpam-5803	334	15	parameter	parameter	NOUN
ejpam-5803	334	16	settings	setting	NOUN
ejpam-5803	334	17	or	or	CCONJ
ejpam-5803	334	18	the	the	DET
ejpam-5803	334	19	intrinsic	intrinsic	ADJ
ejpam-5803	334	20	nature	nature	NOUN
ejpam-5803	334	21	of	of	ADP
ejpam-5803	334	22	the	the	DET
ejpam-5803	334	23	equations	equation	NOUN
ejpam-5803	334	24	studied	study	VERB
ejpam-5803	334	25	.	.	PUNCT
ejpam-5803	335	1	comparisons	comparison	NOUN
ejpam-5803	335	2	with	with	ADP
ejpam-5803	335	3	existing	exist	VERB
ejpam-5803	335	4	literature	literature	NOUN
ejpam-5803	335	5	support	support	VERB
ejpam-5803	335	6	the	the	DET
ejpam-5803	335	7	khat	khat	PROPN
ejpam-5803	335	8	ii	ii	PROPN
ejpam-5803	335	9	method	method	PROPN
ejpam-5803	335	10	’s	’s	PART
ejpam-5803	335	11	efficacy	efficacy	NOUN
ejpam-5803	335	12	in	in	ADP
ejpam-5803	335	13	obtaining	obtain	VERB
ejpam-5803	335	14	accurate	accurate	ADJ
ejpam-5803	335	15	and	and	CCONJ
ejpam-5803	335	16	stable	stable	ADJ
ejpam-5803	335	17	solutions	solution	NOUN
ejpam-5803	335	18	to	to	ADP
ejpam-5803	335	19	nonlinear	nonlinear	ADJ
ejpam-5803	335	20	equations	equation	NOUN
ejpam-5803	335	21	.	.	PUNCT
ejpam-5803	336	1	however	however	ADV
ejpam-5803	336	2	,	,	PUNCT
ejpam-5803	336	3	discrepancies	discrepancy	NOUN
ejpam-5803	336	4	in	in	ADP
ejpam-5803	336	5	amplitude	amplitude	NOUN
ejpam-5803	336	6	behavior	behavior	NOUN
ejpam-5803	336	7	highlight	highlight	VERB
ejpam-5803	336	8	areas	area	NOUN
ejpam-5803	336	9	for	for	ADP
ejpam-5803	336	10	further	further	ADJ
ejpam-5803	336	11	exploration	exploration	NOUN
ejpam-5803	336	12	.	.	PUNCT
ejpam-5803	337	1	the	the	DET
ejpam-5803	337	2	stability	stability	NOUN
ejpam-5803	337	3	and	and	CCONJ
ejpam-5803	337	4	soliton	soliton	NOUN
ejpam-5803	337	5	-	-	PUNCT
ejpam-5803	337	6	like	like	ADJ
ejpam-5803	337	7	nature	nature	NOUN
ejpam-5803	337	8	of	of	ADP
ejpam-5803	337	9	these	these	DET
ejpam-5803	337	10	solutions	solution	NOUN
ejpam-5803	337	11	support	support	NOUN
ejpam-5803	337	12	established	establish	VERB
ejpam-5803	337	13	theories	theory	NOUN
ejpam-5803	337	14	of	of	ADP
ejpam-5803	337	15	solitary	solitary	ADJ
ejpam-5803	337	16	wave	wave	NOUN
ejpam-5803	337	17	propagation	propagation	NOUN
ejpam-5803	337	18	in	in	ADP
ejpam-5803	337	19	nonlinear	nonlinear	ADJ
ejpam-5803	337	20	systems	system	NOUN
ejpam-5803	337	21	.	.	PUNCT
ejpam-5803	338	1	this	this	PRON
ejpam-5803	338	2	reinforces	reinforce	VERB
ejpam-5803	338	3	the	the	DET
ejpam-5803	338	4	khat	khat	PROPN
ejpam-5803	338	5	ii	ii	PROPN
ejpam-5803	338	6	method	method	PROPN
ejpam-5803	338	7	’s	’s	PART
ejpam-5803	338	8	reliability	reliability	NOUN
ejpam-5803	338	9	as	as	ADP
ejpam-5803	338	10	an	an	DET
ejpam-5803	338	11	analytical	analytical	ADJ
ejpam-5803	338	12	tool	tool	NOUN
ejpam-5803	338	13	for	for	ADP
ejpam-5803	338	14	such	such	ADJ
ejpam-5803	338	15	studies	study	NOUN
ejpam-5803	338	16	.	.	PUNCT
ejpam-5803	339	1	despite	despite	SCONJ
ejpam-5803	339	2	promising	promising	ADJ
ejpam-5803	339	3	results	result	NOUN
ejpam-5803	339	4	,	,	PUNCT
ejpam-5803	339	5	limitations	limitation	NOUN
ejpam-5803	339	6	include	include	VERB
ejpam-5803	339	7	potential	potential	ADJ
ejpam-5803	339	8	numerical	numerical	ADJ
ejpam-5803	339	9	instability	instability	NOUN
ejpam-5803	339	10	in	in	ADP
ejpam-5803	339	11	specific	specific	ADJ
ejpam-5803	339	12	parameter	parameter	NOUN
ejpam-5803	339	13	ranges	range	NOUN
ejpam-5803	339	14	and	and	CCONJ
ejpam-5803	339	15	reliance	reliance	NOUN
ejpam-5803	339	16	on	on	ADP
ejpam-5803	339	17	the	the	DET
ejpam-5803	339	18	adomian	adomian	NOUN
ejpam-5803	339	19	decomposition	decomposition	NOUN
ejpam-5803	339	20	scheme	scheme	NOUN
ejpam-5803	339	21	for	for	ADP
ejpam-5803	339	22	validation	validation	NOUN
ejpam-5803	339	23	,	,	PUNCT
ejpam-5803	339	24	which	which	PRON
ejpam-5803	339	25	may	may	AUX
ejpam-5803	339	26	affect	affect	VERB
ejpam-5803	339	27	the	the	DET
ejpam-5803	339	28	generalizability	generalizability	NOUN
ejpam-5803	339	29	across	across	ADP
ejpam-5803	339	30	other	other	ADJ
ejpam-5803	339	31	models	model	NOUN
ejpam-5803	339	32	.	.	PUNCT
ejpam-5803	340	1	future	future	ADJ
ejpam-5803	340	2	research	research	NOUN
ejpam-5803	340	3	could	could	AUX
ejpam-5803	340	4	further	far	ADV
ejpam-5803	340	5	explore	explore	VERB
ejpam-5803	340	6	how	how	SCONJ
ejpam-5803	340	7	varying	vary	VERB
ejpam-5803	340	8	parameter	parameter	NOUN
ejpam-5803	340	9	sets	set	VERB
ejpam-5803	340	10	influence	influence	VERB
ejpam-5803	340	11	the	the	DET
ejpam-5803	340	12	stability	stability	NOUN
ejpam-5803	340	13	of	of	ADP
ejpam-5803	340	14	solitary	solitary	ADJ
ejpam-5803	340	15	wave	wave	NOUN
ejpam-5803	340	16	solutions	solution	NOUN
ejpam-5803	340	17	.	.	PUNCT
ejpam-5803	341	1	additionally	additionally	ADV
ejpam-5803	341	2	,	,	PUNCT
ejpam-5803	341	3	the	the	DET
ejpam-5803	341	4	applicability	applicability	NOUN
ejpam-5803	341	5	of	of	ADP
ejpam-5803	341	6	the	the	DET
ejpam-5803	341	7	khat	khat	PROPN
ejpam-5803	341	8	ii	ii	PROPN
ejpam-5803	341	9	method	method	NOUN
ejpam-5803	341	10	to	to	ADP
ejpam-5803	341	11	other	other	ADJ
ejpam-5803	341	12	nonlinear	nonlinear	ADJ
ejpam-5803	341	13	equations	equation	NOUN
ejpam-5803	341	14	warrants	warrant	NOUN
ejpam-5803	341	15	investigation	investigation	NOUN
ejpam-5803	341	16	.	.	PUNCT
ejpam-5803	342	1	the	the	DET
ejpam-5803	342	2	study	study	NOUN
ejpam-5803	342	3	’s	’s	PART
ejpam-5803	342	4	findings	finding	NOUN
ejpam-5803	342	5	have	have	VERB
ejpam-5803	342	6	theoretical	theoretical	ADJ
ejpam-5803	342	7	and	and	CCONJ
ejpam-5803	342	8	practical	practical	ADJ
ejpam-5803	342	9	implications	implication	NOUN
ejpam-5803	342	10	,	,	PUNCT
ejpam-5803	342	11	particularly	particularly	ADV
ejpam-5803	342	12	in	in	ADP
ejpam-5803	342	13	fluid	fluid	ADJ
ejpam-5803	342	14	dynamics	dynamic	NOUN
ejpam-5803	342	15	,	,	PUNCT
ejpam-5803	342	16	optical	optical	ADJ
ejpam-5803	342	17	communications	communication	NOUN
ejpam-5803	342	18	,	,	PUNCT
ejpam-5803	342	19	and	and	CCONJ
ejpam-5803	342	20	material	material	NOUN
ejpam-5803	342	21	science	science	NOUN
ejpam-5803	342	22	,	,	PUNCT
ejpam-5803	342	23	where	where	SCONJ
ejpam-5803	342	24	accurate	accurate	ADJ
ejpam-5803	342	25	wave	wave	NOUN
ejpam-5803	342	26	behavior	behavior	NOUN
ejpam-5803	342	27	modeling	modeling	NOUN
ejpam-5803	342	28	is	be	AUX
ejpam-5803	342	29	critical	critical	ADJ
ejpam-5803	342	30	.	.	PUNCT
ejpam-5803	343	1	this	this	DET
ejpam-5803	343	2	study	study	NOUN
ejpam-5803	343	3	’s	’s	PART
ejpam-5803	343	4	contributions	contribution	NOUN
ejpam-5803	343	5	enhance	enhance	VERB
ejpam-5803	343	6	the	the	DET
ejpam-5803	343	7	understanding	understanding	NOUN
ejpam-5803	343	8	of	of	ADP
ejpam-5803	343	9	solitary	solitary	ADJ
ejpam-5803	343	10	wave	wave	NOUN
ejpam-5803	343	11	behavior	behavior	NOUN
ejpam-5803	343	12	,	,	PUNCT
ejpam-5803	343	13	underscoring	underscore	VERB
ejpam-5803	343	14	the	the	DET
ejpam-5803	343	15	practical	practical	ADJ
ejpam-5803	343	16	potential	potential	NOUN
ejpam-5803	343	17	of	of	ADP
ejpam-5803	343	18	these	these	DET
ejpam-5803	343	19	solutions	solution	NOUN
ejpam-5803	343	20	for	for	ADP
ejpam-5803	343	21	complex	complex	ADJ
ejpam-5803	343	22	,	,	PUNCT
ejpam-5803	343	23	real	real	ADJ
ejpam-5803	343	24	-	-	PUNCT
ejpam-5803	343	25	world	world	NOUN
ejpam-5803	343	26	systems	system	NOUN
ejpam-5803	343	27	.	.	PUNCT
ejpam-5803	344	1	the	the	DET
ejpam-5803	344	2	new	new	ADJ
ejpam-5803	344	3	forms	form	NOUN
ejpam-5803	344	4	of	of	ADP
ejpam-5803	344	5	solitary	solitary	ADJ
ejpam-5803	344	6	wave	wave	NOUN
ejpam-5803	344	7	solutions	solution	NOUN
ejpam-5803	344	8	differ	differ	VERB
ejpam-5803	344	9	from	from	ADP
ejpam-5803	344	10	prior	prior	ADJ
ejpam-5803	344	11	ones	one	NOUN
ejpam-5803	344	12	mainly	mainly	ADV
ejpam-5803	344	13	in	in	ADP
ejpam-5803	344	14	terms	term	NOUN
ejpam-5803	344	15	of	of	ADP
ejpam-5803	344	16	stability	stability	NOUN
ejpam-5803	344	17	and	and	CCONJ
ejpam-5803	344	18	amplitude	amplitude	NOUN
ejpam-5803	344	19	characteristics	characteristic	NOUN
ejpam-5803	344	20	.	.	PUNCT
ejpam-5803	345	1	unlike	unlike	ADP
ejpam-5803	345	2	earlier	early	ADJ
ejpam-5803	345	3	solutions	solution	NOUN
ejpam-5803	345	4	that	that	PRON
ejpam-5803	345	5	exhibited	exhibit	VERB
ejpam-5803	345	6	greater	great	ADJ
ejpam-5803	345	7	fluctuations	fluctuation	NOUN
ejpam-5803	345	8	,	,	PUNCT
ejpam-5803	345	9	the	the	DET
ejpam-5803	345	10	solutions	solution	NOUN
ejpam-5803	345	11	obtained	obtain	VERB
ejpam-5803	345	12	via	via	ADP
ejpam-5803	345	13	the	the	DET
ejpam-5803	345	14	khat	khat	PROPN
ejpam-5803	345	15	ii	ii	PROPN
ejpam-5803	345	16	method	method	NOUN
ejpam-5803	345	17	maintain	maintain	VERB
ejpam-5803	345	18	consistent	consistent	ADJ
ejpam-5803	345	19	amplitude	amplitude	NOUN
ejpam-5803	345	20	over	over	ADP
ejpam-5803	345	21	time	time	NOUN
ejpam-5803	345	22	.	.	PUNCT
ejpam-5803	346	1	this	this	DET
ejpam-5803	346	2	consistency	consistency	NOUN
ejpam-5803	346	3	is	be	AUX
ejpam-5803	346	4	vital	vital	ADJ
ejpam-5803	346	5	for	for	ADP
ejpam-5803	346	6	applications	application	NOUN
ejpam-5803	346	7	requiring	require	VERB
ejpam-5803	346	8	predictable	predictable	ADJ
ejpam-5803	346	9	wave	wave	NOUN
ejpam-5803	346	10	behavior	behavior	NOUN
ejpam-5803	346	11	.	.	PUNCT
ejpam-5803	347	1	the	the	DET
ejpam-5803	347	2	graphical	graphical	ADJ
ejpam-5803	347	3	representations	representation	NOUN
ejpam-5803	347	4	provided	provide	VERB
ejpam-5803	347	5	in	in	ADP
ejpam-5803	347	6	this	this	DET
ejpam-5803	347	7	study	study	NOUN
ejpam-5803	347	8	are	be	AUX
ejpam-5803	347	9	essential	essential	ADJ
ejpam-5803	347	10	for	for	ADP
ejpam-5803	347	11	visualizing	visualize	VERB
ejpam-5803	347	12	dynamic	dynamic	ADJ
ejpam-5803	347	13	changes	change	NOUN
ejpam-5803	347	14	in	in	ADP
ejpam-5803	347	15	the	the	DET
ejpam-5803	347	16	modeled	model	VERB
ejpam-5803	347	17	equations	equation	NOUN
ejpam-5803	347	18	,	,	PUNCT
ejpam-5803	347	19	including	include	VERB
ejpam-5803	347	20	amplitude	amplitude	NOUN
ejpam-5803	347	21	,	,	PUNCT
ejpam-5803	347	22	phase	phase	NOUN
ejpam-5803	347	23	shifts	shift	NOUN
ejpam-5803	347	24	,	,	PUNCT
ejpam-5803	347	25	and	and	CCONJ
ejpam-5803	347	26	energy	energy	NOUN
ejpam-5803	347	27	propagation	propagation	NOUN
ejpam-5803	347	28	.	.	PUNCT
ejpam-5803	348	1	these	these	DET
ejpam-5803	348	2	visual	visual	ADJ
ejpam-5803	348	3	insights	insight	NOUN
ejpam-5803	348	4	enhance	enhance	VERB
ejpam-5803	348	5	comprehension	comprehension	NOUN
ejpam-5803	348	6	of	of	ADP
ejpam-5803	348	7	the	the	DET
ejpam-5803	348	8	physical	physical	ADJ
ejpam-5803	348	9	phenomena	phenomenon	NOUN
ejpam-5803	348	10	modeled	model	VERB
ejpam-5803	348	11	and	and	CCONJ
ejpam-5803	348	12	highlight	highlight	VERB
ejpam-5803	348	13	their	their	PRON
ejpam-5803	348	14	potential	potential	ADJ
ejpam-5803	348	15	applications	application	NOUN
ejpam-5803	348	16	in	in	ADP
ejpam-5803	348	17	practical	practical	ADJ
ejpam-5803	348	18	contexts	contexts	NOUN
ejpam-5803	348	19	.	.	PUNCT
ejpam-5803	349	1	m.	m.	NOUN
ejpam-5803	349	2	m.	m.	NOUN
ejpam-5803	349	3	a.	a.	NOUN
ejpam-5803	349	4	khater	khater	PROPN
ejpam-5803	349	5	/	/	SYM
ejpam-5803	349	6	eur	eur	PROPN
ejpam-5803	349	7	.	.	PUNCT
ejpam-5803	350	1	j.	j.	PROPN
ejpam-5803	350	2	pure	pure	PROPN
ejpam-5803	350	3	appl	appl	PROPN
ejpam-5803	350	4	.	.	PROPN
ejpam-5803	350	5	math	math	PROPN
ejpam-5803	350	6	,	,	PUNCT
ejpam-5803	350	7	18	18	NUM
ejpam-5803	350	8	(	(	PUNCT
ejpam-5803	350	9	4	4	NUM
ejpam-5803	350	10	)	)	PUNCT
ejpam-5803	350	11	(	(	PUNCT
ejpam-5803	350	12	2025	2025	NUM
ejpam-5803	350	13	)	)	PUNCT
ejpam-5803	350	14	,	,	PUNCT
ejpam-5803	350	15	5803	5803	NUM
ejpam-5803	350	16	20	20	NUM
ejpam-5803	350	17	of	of	ADP
ejpam-5803	350	18	31	31	NUM
ejpam-5803	350	19	figure	figure	NOUN
ejpam-5803	350	20	5	5	NUM
ejpam-5803	350	21	:	:	PUNCT
ejpam-5803	350	22	graphical	graphical	ADJ
ejpam-5803	350	23	representation	representation	NOUN
ejpam-5803	350	24	of	of	ADP
ejpam-5803	350	25	solitary	solitary	ADJ
ejpam-5803	350	26	wave	wave	NOUN
ejpam-5803	350	27	computations	computation	NOUN
ejpam-5803	350	28	derived	derive	VERB
ejpam-5803	350	29	from	from	ADP
ejpam-5803	350	30	the	the	DET
ejpam-5803	350	31	khat	khat	PROPN
ejpam-5803	350	32	ii	ii	PROPN
ejpam-5803	350	33	method	method	NOUN
ejpam-5803	350	34	.	.	PUNCT
ejpam-5803	351	1	this	this	DET
ejpam-5803	351	2	figure	figure	NOUN
ejpam-5803	351	3	illustrates	illustrate	VERB
ejpam-5803	351	4	the	the	DET
ejpam-5803	351	5	solitary	solitary	ADJ
ejpam-5803	351	6	wave	wave	NOUN
ejpam-5803	351	7	profiles	profile	NOUN
ejpam-5803	351	8	generated	generate	VERB
ejpam-5803	351	9	by	by	ADP
ejpam-5803	351	10	the	the	DET
ejpam-5803	351	11	khat	khat	PROPN
ejpam-5803	351	12	ii	ii	PROPN
ejpam-5803	351	13	method	method	NOUN
ejpam-5803	351	14	,	,	PUNCT
ejpam-5803	351	15	depicting	depict	VERB
ejpam-5803	351	16	the	the	DET
ejpam-5803	351	17	amplitude	amplitude	NOUN
ejpam-5803	351	18	and	and	CCONJ
ejpam-5803	351	19	shape	shape	NOUN
ejpam-5803	351	20	of	of	ADP
ejpam-5803	351	21	the	the	DET
ejpam-5803	351	22	waves	wave	NOUN
ejpam-5803	351	23	as	as	SCONJ
ejpam-5803	351	24	they	they	PRON
ejpam-5803	351	25	evolve	evolve	VERB
ejpam-5803	351	26	over	over	ADP
ejpam-5803	351	27	time	time	NOUN
ejpam-5803	351	28	.	.	PUNCT
ejpam-5803	352	1	in	in	ADP
ejpam-5803	352	2	conclusion	conclusion	NOUN
ejpam-5803	352	3	,	,	PUNCT
ejpam-5803	352	4	the	the	DET
ejpam-5803	352	5	study	study	NOUN
ejpam-5803	352	6	successfully	successfully	ADV
ejpam-5803	352	7	derived	derive	VERB
ejpam-5803	352	8	stable	stable	ADJ
ejpam-5803	352	9	solitary	solitary	ADJ
ejpam-5803	352	10	wave	wave	NOUN
ejpam-5803	352	11	solutions	solution	NOUN
ejpam-5803	352	12	using	use	VERB
ejpam-5803	352	13	the	the	DET
ejpam-5803	352	14	khat	khat	PROPN
ejpam-5803	352	15	ii	ii	PROPN
ejpam-5803	352	16	and	and	CCONJ
ejpam-5803	352	17	ekud	ekud	NOUN
ejpam-5803	352	18	methods	method	NOUN
ejpam-5803	352	19	,	,	PUNCT
ejpam-5803	352	20	with	with	ADP
ejpam-5803	352	21	the	the	DET
ejpam-5803	352	22	khat	khat	PROPN
ejpam-5803	352	23	ii	ii	PROPN
ejpam-5803	352	24	method	method	NOUN
ejpam-5803	352	25	demonstrating	demonstrate	VERB
ejpam-5803	352	26	higher	high	ADJ
ejpam-5803	352	27	accuracy	accuracy	NOUN
ejpam-5803	352	28	.	.	PUNCT
ejpam-5803	353	1	the	the	DET
ejpam-5803	353	2	findings	finding	NOUN
ejpam-5803	353	3	highlight	highlight	VERB
ejpam-5803	353	4	the	the	DET
ejpam-5803	353	5	applicability	applicability	NOUN
ejpam-5803	353	6	of	of	ADP
ejpam-5803	353	7	these	these	DET
ejpam-5803	353	8	methods	method	NOUN
ejpam-5803	353	9	to	to	ADP
ejpam-5803	353	10	nonlinear	nonlinear	ADJ
ejpam-5803	353	11	dynamics	dynamic	NOUN
ejpam-5803	353	12	,	,	PUNCT
ejpam-5803	353	13	particularly	particularly	ADV
ejpam-5803	353	14	in	in	ADP
ejpam-5803	353	15	fields	field	NOUN
ejpam-5803	353	16	such	such	ADJ
ejpam-5803	353	17	as	as	ADP
ejpam-5803	353	18	fluid	fluid	ADJ
ejpam-5803	353	19	dynamics	dynamic	NOUN
ejpam-5803	353	20	and	and	CCONJ
ejpam-5803	353	21	optical	optical	ADJ
ejpam-5803	353	22	communications	communication	NOUN
ejpam-5803	353	23	.	.	PUNCT
ejpam-5803	354	1	the	the	DET
ejpam-5803	354	2	study	study	NOUN
ejpam-5803	354	3	’s	’s	PART
ejpam-5803	354	4	comprehensive	comprehensive	ADJ
ejpam-5803	354	5	graphical	graphical	ADJ
ejpam-5803	354	6	and	and	CCONJ
ejpam-5803	354	7	data	datum	NOUN
ejpam-5803	354	8	analysis	analysis	NOUN
ejpam-5803	354	9	reinforces	reinforce	VERB
ejpam-5803	354	10	the	the	DET
ejpam-5803	354	11	practical	practical	ADJ
ejpam-5803	354	12	potential	potential	NOUN
ejpam-5803	354	13	of	of	ADP
ejpam-5803	354	14	these	these	DET
ejpam-5803	354	15	solutions	solution	NOUN
ejpam-5803	354	16	for	for	ADP
ejpam-5803	354	17	realworld	realworld	PROPN
ejpam-5803	354	18	applications	application	NOUN
ejpam-5803	354	19	,	,	PUNCT
ejpam-5803	354	20	paving	pave	VERB
ejpam-5803	354	21	the	the	DET
ejpam-5803	354	22	way	way	NOUN
ejpam-5803	354	23	for	for	ADP
ejpam-5803	354	24	future	future	ADJ
ejpam-5803	354	25	research	research	NOUN
ejpam-5803	354	26	exploring	explore	VERB
ejpam-5803	354	27	parameter	parameter	NOUN
ejpam-5803	354	28	variations	variation	NOUN
ejpam-5803	354	29	and	and	CCONJ
ejpam-5803	354	30	expanding	expand	VERB
ejpam-5803	354	31	the	the	DET
ejpam-5803	354	32	versatility	versatility	NOUN
ejpam-5803	354	33	of	of	ADP
ejpam-5803	354	34	these	these	DET
ejpam-5803	354	35	analytical	analytical	ADJ
ejpam-5803	354	36	methods	method	NOUN
ejpam-5803	354	37	in	in	ADP
ejpam-5803	354	38	complex	complex	ADJ
ejpam-5803	354	39	system	system	NOUN
ejpam-5803	354	40	modeling	modeling	NOUN
ejpam-5803	354	41	.	.	PUNCT
ejpam-5803	355	1	6	6	X
ejpam-5803	355	2	.	.	X
ejpam-5803	355	3	conclusion	conclusion	NOUN
ejpam-5803	355	4	this	this	DET
ejpam-5803	355	5	study	study	NOUN
ejpam-5803	355	6	focused	focus	VERB
ejpam-5803	355	7	on	on	ADP
ejpam-5803	355	8	deriving	derive	VERB
ejpam-5803	355	9	and	and	CCONJ
ejpam-5803	355	10	analyzing	analyze	VERB
ejpam-5803	355	11	solitary	solitary	ADJ
ejpam-5803	355	12	wave	wave	NOUN
ejpam-5803	355	13	solutions	solution	NOUN
ejpam-5803	355	14	for	for	ADP
ejpam-5803	355	15	the	the	DET
ejpam-5803	355	16	fractional	fractional	ADJ
ejpam-5803	355	17	complex	complex	PROPN
ejpam-5803	355	18	heisenberg	heisenberg	PROPN
ejpam-5803	355	19	ferromagnet	ferromagnet	NOUN
ejpam-5803	355	20	-	-	PUNCT
ejpam-5803	355	21	type	type	NOUN
ejpam-5803	355	22	akbota	akbota	ADJ
ejpam-5803	355	23	(	(	PUNCT
ejpam-5803	355	24	fchfa	fchfa	NOUN
ejpam-5803	355	25	)	)	PUNCT
ejpam-5803	355	26	model	model	NOUN
ejpam-5803	355	27	using	use	VERB
ejpam-5803	355	28	the	the	DET
ejpam-5803	355	29	khat	khat	PROPN
ejpam-5803	355	30	ii	ii	PROPN
ejpam-5803	355	31	and	and	CCONJ
ejpam-5803	355	32	ekud	ekud	NOUN
ejpam-5803	355	33	methods	method	NOUN
ejpam-5803	355	34	.	.	PUNCT
ejpam-5803	356	1	the	the	DET
ejpam-5803	356	2	results	result	NOUN
ejpam-5803	356	3	indicate	indicate	VERB
ejpam-5803	356	4	that	that	SCONJ
ejpam-5803	356	5	the	the	DET
ejpam-5803	356	6	khat	khat	PROPN
ejpam-5803	356	7	ii	ii	PROPN
ejpam-5803	356	8	method	method	NOUN
ejpam-5803	356	9	provides	provide	VERB
ejpam-5803	356	10	superior	superior	ADJ
ejpam-5803	356	11	accuracy	accuracy	NOUN
ejpam-5803	356	12	in	in	ADP
ejpam-5803	356	13	approximating	approximate	VERB
ejpam-5803	356	14	analytical	analytical	ADJ
ejpam-5803	356	15	solutions	solution	NOUN
ejpam-5803	356	16	,	,	PUNCT
ejpam-5803	356	17	with	with	ADP
ejpam-5803	356	18	minimal	minimal	ADJ
ejpam-5803	356	19	error	error	NOUN
ejpam-5803	356	20	margins	margin	NOUN
ejpam-5803	356	21	.	.	PUNCT
ejpam-5803	357	1	these	these	DET
ejpam-5803	357	2	findings	finding	NOUN
ejpam-5803	357	3	underscore	underscore	VERB
ejpam-5803	357	4	the	the	DET
ejpam-5803	357	5	stability	stability	NOUN
ejpam-5803	357	6	and	and	CCONJ
ejpam-5803	357	7	soliton	soliton	NOUN
ejpam-5803	357	8	-	-	PUNCT
ejpam-5803	357	9	like	like	ADJ
ejpam-5803	357	10	behavior	behavior	NOUN
ejpam-5803	357	11	of	of	ADP
ejpam-5803	357	12	the	the	DET
ejpam-5803	357	13	derived	derive	VERB
ejpam-5803	357	14	waveforms	waveform	NOUN
ejpam-5803	357	15	,	,	PUNCT
ejpam-5803	357	16	which	which	PRON
ejpam-5803	357	17	are	be	AUX
ejpam-5803	357	18	crucial	crucial	ADJ
ejpam-5803	357	19	for	for	ADP
ejpam-5803	357	20	understanding	understand	VERB
ejpam-5803	357	21	complex	complex	ADJ
ejpam-5803	357	22	dynamics	dynamic	NOUN
ejpam-5803	357	23	in	in	ADP
ejpam-5803	357	24	nonlinear	nonlinear	ADJ
ejpam-5803	357	25	systems	system	NOUN
ejpam-5803	357	26	,	,	PUNCT
ejpam-5803	357	27	especially	especially	ADV
ejpam-5803	357	28	within	within	ADP
ejpam-5803	357	29	the	the	DET
ejpam-5803	357	30	m.	m.	NOUN
ejpam-5803	357	31	m.	m.	NOUN
ejpam-5803	357	32	a.	a.	NOUN
ejpam-5803	357	33	khater	khater	PROPN
ejpam-5803	357	34	/	/	SYM
ejpam-5803	357	35	eur	eur	PROPN
ejpam-5803	357	36	.	.	PUNCT
ejpam-5803	358	1	j.	j.	PROPN
ejpam-5803	358	2	pure	pure	PROPN
ejpam-5803	358	3	appl	appl	PROPN
ejpam-5803	358	4	.	.	PROPN
ejpam-5803	358	5	math	math	PROPN
ejpam-5803	358	6	,	,	PUNCT
ejpam-5803	358	7	18	18	NUM
ejpam-5803	358	8	(	(	PUNCT
ejpam-5803	358	9	4	4	NUM
ejpam-5803	358	10	)	)	PUNCT
ejpam-5803	358	11	(	(	PUNCT
ejpam-5803	358	12	2025	2025	NUM
ejpam-5803	358	13	)	)	PUNCT
ejpam-5803	358	14	,	,	PUNCT
ejpam-5803	358	15	5803	5803	NUM
ejpam-5803	358	16	21	21	NUM
ejpam-5803	358	17	of	of	ADP
ejpam-5803	358	18	31	31	NUM
ejpam-5803	358	19	figure	figure	NOUN
ejpam-5803	358	20	6	6	NUM
ejpam-5803	358	21	:	:	PUNCT
ejpam-5803	358	22	visualization	visualization	NOUN
ejpam-5803	358	23	of	of	ADP
ejpam-5803	358	24	numerical	numerical	ADJ
ejpam-5803	358	25	solutions	solution	NOUN
ejpam-5803	358	26	obtained	obtain	VERB
ejpam-5803	358	27	through	through	ADP
ejpam-5803	358	28	the	the	DET
ejpam-5803	358	29	khat	khat	PROPN
ejpam-5803	358	30	ii	ii	PROPN
ejpam-5803	358	31	method	method	NOUN
ejpam-5803	358	32	.	.	PUNCT
ejpam-5803	359	1	this	this	DET
ejpam-5803	359	2	figure	figure	NOUN
ejpam-5803	359	3	compares	compare	VERB
ejpam-5803	359	4	the	the	DET
ejpam-5803	359	5	numerical	numerical	ADJ
ejpam-5803	359	6	solutions	solution	NOUN
ejpam-5803	359	7	derived	derive	VERB
ejpam-5803	359	8	from	from	ADP
ejpam-5803	359	9	both	both	CCONJ
ejpam-5803	359	10	the	the	DET
ejpam-5803	359	11	khat	khat	PROPN
ejpam-5803	359	12	ii	ii	PROPN
ejpam-5803	359	13	method	method	NOUN
ejpam-5803	359	14	,	,	PUNCT
ejpam-5803	359	15	highlighting	highlight	VERB
ejpam-5803	359	16	the	the	DET
ejpam-5803	359	17	convergence	convergence	NOUN
ejpam-5803	359	18	of	of	ADP
ejpam-5803	359	19	these	these	DET
ejpam-5803	359	20	analytical	analytical	ADJ
ejpam-5803	359	21	approaches	approach	NOUN
ejpam-5803	359	22	.	.	PUNCT
ejpam-5803	360	1	fchfa	fchfa	ADJ
ejpam-5803	360	2	model	model	NOUN
ejpam-5803	360	3	context	context	NOUN
ejpam-5803	360	4	.	.	PUNCT
ejpam-5803	361	1	the	the	DET
ejpam-5803	361	2	study	study	NOUN
ejpam-5803	361	3	’s	’s	PART
ejpam-5803	361	4	conclusions	conclusion	NOUN
ejpam-5803	361	5	align	align	VERB
ejpam-5803	361	6	with	with	ADP
ejpam-5803	361	7	its	its	PRON
ejpam-5803	361	8	primary	primary	ADJ
ejpam-5803	361	9	objectives	objective	NOUN
ejpam-5803	361	10	:	:	PUNCT
ejpam-5803	361	11	to	to	PART
ejpam-5803	361	12	explore	explore	VERB
ejpam-5803	361	13	solitary	solitary	ADJ
ejpam-5803	361	14	wave	wave	NOUN
ejpam-5803	361	15	dynamics	dynamic	NOUN
ejpam-5803	361	16	in	in	ADP
ejpam-5803	361	17	the	the	DET
ejpam-5803	361	18	fchfa	fchfa	NOUN
ejpam-5803	361	19	model	model	NOUN
ejpam-5803	361	20	and	and	CCONJ
ejpam-5803	361	21	evaluate	evaluate	VERB
ejpam-5803	361	22	the	the	DET
ejpam-5803	361	23	effectiveness	effectiveness	NOUN
ejpam-5803	361	24	of	of	ADP
ejpam-5803	361	25	analytical	analytical	ADJ
ejpam-5803	361	26	methods	method	NOUN
ejpam-5803	361	27	in	in	ADP
ejpam-5803	361	28	capturing	capture	VERB
ejpam-5803	361	29	these	these	DET
ejpam-5803	361	30	phenomena	phenomenon	NOUN
ejpam-5803	361	31	.	.	PUNCT
ejpam-5803	362	1	the	the	DET
ejpam-5803	362	2	derived	derive	VERB
ejpam-5803	362	3	solutions	solution	NOUN
ejpam-5803	362	4	exhibit	exhibit	VERB
ejpam-5803	362	5	stable	stable	ADJ
ejpam-5803	362	6	amplitude	amplitude	NOUN
ejpam-5803	362	7	and	and	CCONJ
ejpam-5803	362	8	phase	phase	NOUN
ejpam-5803	362	9	characteristics	characteristic	NOUN
ejpam-5803	362	10	,	,	PUNCT
ejpam-5803	362	11	offering	offer	VERB
ejpam-5803	362	12	insights	insight	NOUN
ejpam-5803	362	13	into	into	ADP
ejpam-5803	362	14	the	the	DET
ejpam-5803	362	15	propagation	propagation	NOUN
ejpam-5803	362	16	and	and	CCONJ
ejpam-5803	362	17	interaction	interaction	NOUN
ejpam-5803	362	18	of	of	ADP
ejpam-5803	362	19	solitary	solitary	ADJ
ejpam-5803	362	20	waves	wave	NOUN
ejpam-5803	362	21	within	within	ADP
ejpam-5803	362	22	the	the	DET
ejpam-5803	362	23	fractional	fractional	ADJ
ejpam-5803	362	24	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	362	25	framework	framework	NOUN
ejpam-5803	362	26	.	.	PUNCT
ejpam-5803	363	1	such	such	ADJ
ejpam-5803	363	2	insights	insight	NOUN
ejpam-5803	363	3	are	be	AUX
ejpam-5803	363	4	valuable	valuable	ADJ
ejpam-5803	363	5	in	in	ADP
ejpam-5803	363	6	applications	application	NOUN
ejpam-5803	363	7	where	where	SCONJ
ejpam-5803	363	8	wave	wave	NOUN
ejpam-5803	363	9	stability	stability	NOUN
ejpam-5803	363	10	and	and	CCONJ
ejpam-5803	363	11	energy	energy	NOUN
ejpam-5803	363	12	propagation	propagation	NOUN
ejpam-5803	363	13	are	be	AUX
ejpam-5803	363	14	critical	critical	ADJ
ejpam-5803	363	15	.	.	PUNCT
ejpam-5803	364	1	while	while	SCONJ
ejpam-5803	364	2	the	the	DET
ejpam-5803	364	3	study	study	NOUN
ejpam-5803	364	4	’s	’s	PART
ejpam-5803	364	5	results	result	NOUN
ejpam-5803	364	6	are	be	AUX
ejpam-5803	364	7	promising	promise	VERB
ejpam-5803	364	8	,	,	PUNCT
ejpam-5803	364	9	certain	certain	ADJ
ejpam-5803	364	10	limitations	limitation	NOUN
ejpam-5803	364	11	should	should	AUX
ejpam-5803	364	12	be	be	AUX
ejpam-5803	364	13	noted	note	VERB
ejpam-5803	364	14	,	,	PUNCT
ejpam-5803	364	15	including	include	VERB
ejpam-5803	364	16	potential	potential	ADJ
ejpam-5803	364	17	numerical	numerical	ADJ
ejpam-5803	364	18	instability	instability	NOUN
ejpam-5803	364	19	in	in	ADP
ejpam-5803	364	20	specific	specific	ADJ
ejpam-5803	364	21	parameter	parameter	NOUN
ejpam-5803	364	22	ranges	range	NOUN
ejpam-5803	364	23	and	and	CCONJ
ejpam-5803	364	24	reliance	reliance	NOUN
ejpam-5803	364	25	on	on	ADP
ejpam-5803	364	26	the	the	DET
ejpam-5803	364	27	adomian	adomian	NOUN
ejpam-5803	364	28	decomposition	decomposition	NOUN
ejpam-5803	364	29	scheme	scheme	NOUN
ejpam-5803	364	30	for	for	ADP
ejpam-5803	364	31	validation	validation	NOUN
ejpam-5803	364	32	.	.	PUNCT
ejpam-5803	365	1	these	these	DET
ejpam-5803	365	2	aspects	aspect	NOUN
ejpam-5803	365	3	suggest	suggest	VERB
ejpam-5803	365	4	that	that	SCONJ
ejpam-5803	365	5	caution	caution	NOUN
ejpam-5803	365	6	is	be	AUX
ejpam-5803	365	7	needed	need	VERB
ejpam-5803	365	8	when	when	SCONJ
ejpam-5803	365	9	generalizing	generalize	VERB
ejpam-5803	365	10	these	these	DET
ejpam-5803	365	11	findings	finding	NOUN
ejpam-5803	365	12	and	and	CCONJ
ejpam-5803	365	13	highlight	highlight	VERB
ejpam-5803	365	14	opportunities	opportunity	NOUN
ejpam-5803	365	15	for	for	ADP
ejpam-5803	365	16	further	further	ADJ
ejpam-5803	365	17	investigation	investigation	NOUN
ejpam-5803	365	18	.	.	PUNCT
ejpam-5803	366	1	future	future	ADJ
ejpam-5803	366	2	research	research	NOUN
ejpam-5803	366	3	should	should	AUX
ejpam-5803	366	4	examine	examine	VERB
ejpam-5803	366	5	how	how	SCONJ
ejpam-5803	366	6	varying	vary	VERB
ejpam-5803	366	7	parameters	parameter	NOUN
ejpam-5803	366	8	affect	affect	VERB
ejpam-5803	366	9	the	the	DET
ejpam-5803	366	10	stability	stability	NOUN
ejpam-5803	366	11	and	and	CCONJ
ejpam-5803	366	12	characteristics	characteristic	NOUN
ejpam-5803	366	13	of	of	ADP
ejpam-5803	366	14	solitary	solitary	ADJ
ejpam-5803	366	15	wave	wave	NOUN
ejpam-5803	366	16	solutions	solution	NOUN
ejpam-5803	366	17	in	in	ADP
ejpam-5803	366	18	the	the	DET
ejpam-5803	366	19	fchfa	fchfa	NOUN
ejpam-5803	366	20	model	model	NOUN
ejpam-5803	366	21	.	.	PUNCT
ejpam-5803	367	1	additionally	additionally	ADV
ejpam-5803	367	2	,	,	PUNCT
ejpam-5803	367	3	applying	apply	VERB
ejpam-5803	367	4	the	the	DET
ejpam-5803	367	5	khat	khat	PROPN
ejpam-5803	367	6	ii	ii	PROPN
ejpam-5803	367	7	method	method	NOUN
ejpam-5803	367	8	to	to	ADP
ejpam-5803	367	9	other	other	ADJ
ejpam-5803	367	10	fractional	fractional	ADJ
ejpam-5803	367	11	and	and	CCONJ
ejpam-5803	367	12	complex	complex	ADJ
ejpam-5803	367	13	nonlinear	nonlinear	ADJ
ejpam-5803	367	14	equations	equation	NOUN
ejpam-5803	367	15	could	could	AUX
ejpam-5803	367	16	yield	yield	VERB
ejpam-5803	367	17	deeper	deep	ADJ
ejpam-5803	367	18	insights	insight	NOUN
ejpam-5803	367	19	into	into	ADP
ejpam-5803	367	20	its	its	PRON
ejpam-5803	367	21	robustness	robustness	NOUN
ejpam-5803	367	22	and	and	CCONJ
ejpam-5803	367	23	adaptability	adaptability	NOUN
ejpam-5803	367	24	for	for	ADP
ejpam-5803	367	25	modeling	model	VERB
ejpam-5803	367	26	similar	similar	ADJ
ejpam-5803	367	27	systems	system	NOUN
ejpam-5803	367	28	.	.	PUNCT
ejpam-5803	368	1	m.	m.	NOUN
ejpam-5803	368	2	m.	m.	NOUN
ejpam-5803	368	3	a.	a.	NOUN
ejpam-5803	368	4	khater	khater	PROPN
ejpam-5803	368	5	/	/	SYM
ejpam-5803	368	6	eur	eur	PROPN
ejpam-5803	368	7	.	.	PUNCT
ejpam-5803	369	1	j.	j.	PROPN
ejpam-5803	369	2	pure	pure	PROPN
ejpam-5803	369	3	appl	appl	PROPN
ejpam-5803	369	4	.	.	PROPN
ejpam-5803	369	5	math	math	PROPN
ejpam-5803	369	6	,	,	PUNCT
ejpam-5803	369	7	18	18	NUM
ejpam-5803	369	8	(	(	PUNCT
ejpam-5803	369	9	4	4	NUM
ejpam-5803	369	10	)	)	PUNCT
ejpam-5803	369	11	(	(	PUNCT
ejpam-5803	369	12	2025	2025	NUM
ejpam-5803	369	13	)	)	PUNCT
ejpam-5803	369	14	,	,	PUNCT
ejpam-5803	369	15	5803	5803	NUM
ejpam-5803	369	16	22	22	NUM
ejpam-5803	369	17	of	of	ADP
ejpam-5803	369	18	31	31	NUM
ejpam-5803	369	19	figure	figure	NOUN
ejpam-5803	369	20	7	7	NUM
ejpam-5803	369	21	:	:	PUNCT
ejpam-5803	369	22	illustration	illustration	NOUN
ejpam-5803	369	23	of	of	ADP
ejpam-5803	369	24	the	the	DET
ejpam-5803	369	25	solution	solution	NOUN
ejpam-5803	369	26	dynamics	dynamic	NOUN
ejpam-5803	369	27	for	for	ADP
ejpam-5803	369	28	the	the	DET
ejpam-5803	369	29	studied	studied	ADJ
ejpam-5803	369	30	model	model	NOUN
ejpam-5803	369	31	,	,	PUNCT
ejpam-5803	369	32	derived	derive	VERB
ejpam-5803	369	33	from	from	ADP
ejpam-5803	369	34	ekud	ekud	NOUN
ejpam-5803	369	35	method	method	NOUN
ejpam-5803	369	36	.	.	PUNCT
ejpam-5803	370	1	graphical	graphical	ADJ
ejpam-5803	370	2	solution	solution	NOUN
ejpam-5803	370	3	representation	representation	NOUN
ejpam-5803	370	4	via	via	ADP
ejpam-5803	370	5	the	the	DET
ejpam-5803	370	6	ekud	ekud	NOUN
ejpam-5803	370	7	method	method	NOUN
ejpam-5803	370	8	,	,	PUNCT
ejpam-5803	370	9	displaying	display	VERB
ejpam-5803	370	10	the	the	DET
ejpam-5803	370	11	real	real	ADJ
ejpam-5803	370	12	(	(	PUNCT
ejpam-5803	370	13	a	a	PRON
ejpam-5803	370	14	,	,	PUNCT
ejpam-5803	370	15	d	d	NOUN
ejpam-5803	370	16	,	,	PUNCT
ejpam-5803	370	17	g	g	NOUN
ejpam-5803	370	18	)	)	PUNCT
ejpam-5803	370	19	,	,	PUNCT
ejpam-5803	370	20	imaginary	imaginary	ADJ
ejpam-5803	370	21	(	(	PUNCT
ejpam-5803	370	22	b	b	NOUN
ejpam-5803	370	23	,	,	PUNCT
ejpam-5803	370	24	e	e	NOUN
ejpam-5803	370	25	,	,	PUNCT
ejpam-5803	370	26	h	h	NOUN
ejpam-5803	370	27	)	)	PUNCT
ejpam-5803	370	28	,	,	PUNCT
ejpam-5803	370	29	and	and	CCONJ
ejpam-5803	370	30	absolute	absolute	ADJ
ejpam-5803	370	31	(	(	PUNCT
ejpam-5803	370	32	c	c	NOUN
ejpam-5803	370	33	,	,	PUNCT
ejpam-5803	370	34	f	f	PROPN
ejpam-5803	370	35	,	,	PUNCT
ejpam-5803	370	36	i	i	NOUN
ejpam-5803	370	37	)	)	PUNCT
ejpam-5803	370	38	values	value	NOUN
ejpam-5803	370	39	from	from	ADP
ejpam-5803	370	40	eq	eq	ADP
ejpam-5803	370	41	.	.	PUNCT
ejpam-5803	371	1	(	(	PUNCT
ejpam-5803	371	2	23	23	NUM
ejpam-5803	371	3	)	)	PUNCT
ejpam-5803	371	4	.	.	PUNCT
ejpam-5803	372	1	this	this	DET
ejpam-5803	372	2	research	research	NOUN
ejpam-5803	372	3	makes	make	VERB
ejpam-5803	372	4	a	a	DET
ejpam-5803	372	5	significant	significant	ADJ
ejpam-5803	372	6	contribution	contribution	NOUN
ejpam-5803	372	7	to	to	ADP
ejpam-5803	372	8	the	the	DET
ejpam-5803	372	9	field	field	NOUN
ejpam-5803	372	10	of	of	ADP
ejpam-5803	372	11	fractional	fractional	ADJ
ejpam-5803	372	12	and	and	CCONJ
ejpam-5803	372	13	complex	complex	ADJ
ejpam-5803	372	14	nonlinear	nonlinear	ADJ
ejpam-5803	372	15	dynamics	dynamic	NOUN
ejpam-5803	372	16	by	by	ADP
ejpam-5803	372	17	providing	provide	VERB
ejpam-5803	372	18	analytical	analytical	ADJ
ejpam-5803	372	19	solutions	solution	NOUN
ejpam-5803	372	20	that	that	PRON
ejpam-5803	372	21	enhance	enhance	VERB
ejpam-5803	372	22	the	the	DET
ejpam-5803	372	23	understanding	understanding	NOUN
ejpam-5803	372	24	of	of	ADP
ejpam-5803	372	25	solitary	solitary	ADJ
ejpam-5803	372	26	wave	wave	NOUN
ejpam-5803	372	27	behavior	behavior	NOUN
ejpam-5803	372	28	in	in	ADP
ejpam-5803	372	29	the	the	DET
ejpam-5803	372	30	fchfa	fchfa	NOUN
ejpam-5803	372	31	model	model	NOUN
ejpam-5803	372	32	.	.	PUNCT
ejpam-5803	373	1	the	the	DET
ejpam-5803	373	2	study	study	NOUN
ejpam-5803	373	3	highlights	highlight	VERB
ejpam-5803	373	4	the	the	DET
ejpam-5803	373	5	khat	khat	PROPN
ejpam-5803	373	6	ii	ii	PROPN
ejpam-5803	373	7	method	method	PROPN
ejpam-5803	373	8	’s	’s	PART
ejpam-5803	373	9	value	value	NOUN
ejpam-5803	373	10	as	as	ADP
ejpam-5803	373	11	a	a	DET
ejpam-5803	373	12	powerful	powerful	ADJ
ejpam-5803	373	13	tool	tool	NOUN
ejpam-5803	373	14	for	for	ADP
ejpam-5803	373	15	investigating	investigate	VERB
ejpam-5803	373	16	nonlinear	nonlinear	ADJ
ejpam-5803	373	17	interactions	interaction	NOUN
ejpam-5803	373	18	,	,	PUNCT
ejpam-5803	373	19	advancing	advance	VERB
ejpam-5803	373	20	both	both	CCONJ
ejpam-5803	373	21	theoretical	theoretical	ADJ
ejpam-5803	373	22	knowledge	knowledge	NOUN
ejpam-5803	373	23	and	and	CCONJ
ejpam-5803	373	24	practical	practical	ADJ
ejpam-5803	373	25	applications	application	NOUN
ejpam-5803	373	26	in	in	ADP
ejpam-5803	373	27	areas	area	NOUN
ejpam-5803	373	28	where	where	SCONJ
ejpam-5803	373	29	accurate	accurate	ADJ
ejpam-5803	373	30	modeling	modeling	NOUN
ejpam-5803	373	31	of	of	ADP
ejpam-5803	373	32	wave	wave	NOUN
ejpam-5803	373	33	dynamics	dynamic	NOUN
ejpam-5803	373	34	is	be	AUX
ejpam-5803	373	35	essential	essential	ADJ
ejpam-5803	373	36	.	.	PUNCT
ejpam-5803	374	1	“	"	PUNCT
ejpam-5803	374	2	appendix	appendix	VERB
ejpam-5803	374	3	here	here	ADV
ejpam-5803	374	4	,	,	PUNCT
ejpam-5803	374	5	we	we	PRON
ejpam-5803	374	6	provide	provide	VERB
ejpam-5803	374	7	the	the	DET
ejpam-5803	374	8	definition	definition	NOUN
ejpam-5803	374	9	of	of	ADP
ejpam-5803	374	10	the	the	DET
ejpam-5803	374	11	truncated	truncated	ADJ
ejpam-5803	374	12	mittag	mittag	ADJ
ejpam-5803	374	13	-	-	PUNCT
ejpam-5803	374	14	leffler	leffler	NOUN
ejpam-5803	374	15	function	function	NOUN
ejpam-5803	374	16	and	and	CCONJ
ejpam-5803	374	17	outline	outline	VERB
ejpam-5803	374	18	the	the	DET
ejpam-5803	374	19	fundamental	fundamental	ADJ
ejpam-5803	374	20	properties	property	NOUN
ejpam-5803	374	21	of	of	ADP
ejpam-5803	374	22	the	the	DET
ejpam-5803	374	23	truncated	truncated	ADJ
ejpam-5803	374	24	β	β	NOUN
ejpam-5803	374	25	-	-	ADJ
ejpam-5803	374	26	fractional	fractional	ADJ
ejpam-5803	374	27	derivative	derivative	NOUN
ejpam-5803	374	28	,	,	PUNCT
ejpam-5803	374	29	following	follow	VERB
ejpam-5803	374	30	the	the	DET
ejpam-5803	374	31	framework	framework	NOUN
ejpam-5803	374	32	established	establish	VERB
ejpam-5803	374	33	in	in	ADP
ejpam-5803	374	34	[	[	X
ejpam-5803	374	35	20	20	NUM
ejpam-5803	374	36	]	]	PUNCT
ejpam-5803	374	37	.	.	PUNCT
ejpam-5803	375	1	this	this	DET
ejpam-5803	375	2	appendix	appendix	PROPN
ejpam-5803	375	3	serves	serve	VERB
ejpam-5803	375	4	to	to	PART
ejpam-5803	375	5	clarify	clarify	VERB
ejpam-5803	375	6	the	the	DET
ejpam-5803	375	7	mathematical	mathematical	ADJ
ejpam-5803	375	8	foundation	foundation	NOUN
ejpam-5803	375	9	of	of	ADP
ejpam-5803	375	10	the	the	DET
ejpam-5803	375	11	fractional	fractional	ADJ
ejpam-5803	375	12	derivative	derivative	NOUN
ejpam-5803	375	13	used	use	VERB
ejpam-5803	375	14	throughout	throughout	ADP
ejpam-5803	375	15	this	this	DET
ejpam-5803	375	16	paper	paper	NOUN
ejpam-5803	375	17	and	and	CCONJ
ejpam-5803	375	18	to	to	PART
ejpam-5803	375	19	establish	establish	VERB
ejpam-5803	375	20	the	the	DET
ejpam-5803	375	21	connection	connection	NOUN
ejpam-5803	375	22	between	between	ADP
ejpam-5803	375	23	the	the	DET
ejpam-5803	375	24	notation	notation	NOUN
ejpam-5803	375	25	used	use	VERB
ejpam-5803	375	26	in	in	ADP
ejpam-5803	375	27	the	the	DET
ejpam-5803	375	28	main	main	ADJ
ejpam-5803	375	29	text	text	NOUN
ejpam-5803	375	30	(	(	PUNCT
ejpam-5803	375	31	dϵ	dϵ	PROPN
ejpam-5803	375	32	t	t	PROPN
ejpam-5803	375	33	)	)	PUNCT
ejpam-5803	375	34	and	and	CCONJ
ejpam-5803	375	35	the	the	DET
ejpam-5803	375	36	formal	formal	ADJ
ejpam-5803	375	37	mathematical	mathematical	ADJ
ejpam-5803	375	38	notation	notation	NOUN
ejpam-5803	375	39	(	(	PUNCT
ejpam-5803	375	40	idε	idε	NOUN
ejpam-5803	375	41	,	,	PUNCT
ejpam-5803	375	42	z	z	NOUN
ejpam-5803	375	43	β	β	NOUN
ejpam-5803	375	44	)	)	PUNCT
ejpam-5803	375	45	.	.	PUNCT
ejpam-5803	376	1	m.	m.	NOUN
ejpam-5803	376	2	m.	m.	NOUN
ejpam-5803	376	3	a.	a.	NOUN
ejpam-5803	376	4	khater	khater	PROPN
ejpam-5803	376	5	/	/	SYM
ejpam-5803	376	6	eur	eur	PROPN
ejpam-5803	376	7	.	.	PUNCT
ejpam-5803	377	1	j.	j.	PROPN
ejpam-5803	377	2	pure	pure	PROPN
ejpam-5803	377	3	appl	appl	PROPN
ejpam-5803	377	4	.	.	PROPN
ejpam-5803	377	5	math	math	PROPN
ejpam-5803	377	6	,	,	PUNCT
ejpam-5803	377	7	18	18	NUM
ejpam-5803	377	8	(	(	PUNCT
ejpam-5803	377	9	4	4	NUM
ejpam-5803	377	10	)	)	PUNCT
ejpam-5803	377	11	(	(	PUNCT
ejpam-5803	377	12	2025	2025	NUM
ejpam-5803	377	13	)	)	PUNCT
ejpam-5803	377	14	,	,	PUNCT
ejpam-5803	377	15	5803	5803	NUM
ejpam-5803	377	16	23	23	NUM
ejpam-5803	377	17	of	of	ADP
ejpam-5803	377	18	31	31	NUM
ejpam-5803	377	19	figure	figure	NOUN
ejpam-5803	377	20	8	8	NUM
ejpam-5803	377	21	:	:	PUNCT
ejpam-5803	377	22	comparative	comparative	ADJ
ejpam-5803	377	23	analysis	analysis	NOUN
ejpam-5803	377	24	of	of	ADP
ejpam-5803	377	25	solution	solution	NOUN
ejpam-5803	377	26	structures	structure	NOUN
ejpam-5803	377	27	generated	generate	VERB
ejpam-5803	377	28	by	by	ADP
ejpam-5803	377	29	the	the	DET
ejpam-5803	377	30	ekud	ekud	NOUN
ejpam-5803	377	31	scheme	scheme	NOUN
ejpam-5803	377	32	.	.	PUNCT
ejpam-5803	378	1	solution	solution	NOUN
ejpam-5803	378	2	representation	representation	NOUN
ejpam-5803	378	3	for	for	ADP
ejpam-5803	378	4	the	the	DET
ejpam-5803	378	5	investigated	investigate	VERB
ejpam-5803	378	6	model	model	NOUN
ejpam-5803	378	7	obtained	obtain	VERB
ejpam-5803	378	8	via	via	ADP
ejpam-5803	378	9	the	the	DET
ejpam-5803	378	10	ekud	ekud	NOUN
ejpam-5803	378	11	method	method	NOUN
ejpam-5803	378	12	,	,	PUNCT
ejpam-5803	378	13	with	with	ADP
ejpam-5803	378	14	sub	sub	NOUN
ejpam-5803	378	15	-	-	NOUN
ejpam-5803	378	16	figures	figure	NOUN
ejpam-5803	378	17	illustrating	illustrate	VERB
ejpam-5803	378	18	the	the	DET
ejpam-5803	378	19	real	real	ADJ
ejpam-5803	378	20	(	(	PUNCT
ejpam-5803	378	21	a	a	PRON
ejpam-5803	378	22	,	,	PUNCT
ejpam-5803	378	23	d	d	NOUN
ejpam-5803	378	24	,	,	PUNCT
ejpam-5803	378	25	g	g	NOUN
ejpam-5803	378	26	)	)	PUNCT
ejpam-5803	378	27	,	,	PUNCT
ejpam-5803	378	28	imaginary	imaginary	ADJ
ejpam-5803	378	29	(	(	PUNCT
ejpam-5803	378	30	b	b	NOUN
ejpam-5803	378	31	,	,	PUNCT
ejpam-5803	378	32	e	e	NOUN
ejpam-5803	378	33	,	,	PUNCT
ejpam-5803	378	34	h	h	NOUN
ejpam-5803	378	35	)	)	PUNCT
ejpam-5803	378	36	,	,	PUNCT
ejpam-5803	378	37	and	and	CCONJ
ejpam-5803	378	38	absolute	absolute	ADJ
ejpam-5803	378	39	(	(	PUNCT
ejpam-5803	378	40	c	c	NOUN
ejpam-5803	378	41	,	,	PUNCT
ejpam-5803	378	42	f	f	PROPN
ejpam-5803	378	43	,	,	PUNCT
ejpam-5803	378	44	i	i	NOUN
ejpam-5803	378	45	)	)	PUNCT
ejpam-5803	378	46	values	value	NOUN
ejpam-5803	378	47	from	from	ADP
ejpam-5803	378	48	eq	eq	ADP
ejpam-5803	378	49	.	.	PUNCT
ejpam-5803	379	1	(	(	PUNCT
ejpam-5803	379	2	27	27	NUM
ejpam-5803	379	3	)	)	PUNCT
ejpam-5803	379	4	.	.	PUNCT
ejpam-5803	380	1	definition	definition	NOUN
ejpam-5803	380	2	1	1	NUM
ejpam-5803	380	3	.	.	PUNCT
ejpam-5803	381	1	the	the	DET
ejpam-5803	381	2	truncated	truncated	ADJ
ejpam-5803	381	3	mittag	mittag	ADJ
ejpam-5803	381	4	-	-	PUNCT
ejpam-5803	381	5	leffler	leffler	NOUN
ejpam-5803	381	6	function	function	NOUN
ejpam-5803	381	7	with	with	ADP
ejpam-5803	381	8	a	a	DET
ejpam-5803	381	9	single	single	ADJ
ejpam-5803	381	10	parameter	parameter	NOUN
ejpam-5803	381	11	is	be	AUX
ejpam-5803	381	12	defined	define	VERB
ejpam-5803	381	13	as	as	SCONJ
ejpam-5803	381	14	follows	follow	VERB
ejpam-5803	381	15	[	[	X
ejpam-5803	381	16	21	21	NUM
ejpam-5803	381	17	]	]	PUNCT
ejpam-5803	381	18	:	:	PUNCT
ejpam-5803	381	19	qi	qi	PROPN
ejpam-5803	381	20	z(κ	z(κ	PROPN
ejpam-5803	381	21	)	)	PUNCT
ejpam-5803	382	1	=	=	SYM
ejpam-5803	382	2	i∑	i∑	NUM
ejpam-5803	382	3	n=0	n=0	NUM
ejpam-5803	382	4	κn	κn	NOUN
ejpam-5803	382	5	γ(zn+	γ(zn+	NOUN
ejpam-5803	382	6	1	1	NUM
ejpam-5803	382	7	)	)	PUNCT
ejpam-5803	382	8	,	,	PUNCT
ejpam-5803	382	9	(	(	PUNCT
ejpam-5803	382	10	29	29	NUM
ejpam-5803	382	11	)	)	PUNCT
ejpam-5803	382	12	where	where	SCONJ
ejpam-5803	382	13	z	z	NOUN
ejpam-5803	382	14	>	>	X
ejpam-5803	382	15	0	0	PUNCT
ejpam-5803	382	16	and	and	CCONJ
ejpam-5803	382	17	κ	κ	PROPN
ejpam-5803	382	18	∈	∈	PROPN
ejpam-5803	382	19	c.	c.	NOUN
ejpam-5803	382	20	this	this	DET
ejpam-5803	382	21	function	function	NOUN
ejpam-5803	382	22	plays	play	VERB
ejpam-5803	382	23	a	a	DET
ejpam-5803	382	24	crucial	crucial	ADJ
ejpam-5803	382	25	role	role	NOUN
ejpam-5803	382	26	in	in	ADP
ejpam-5803	382	27	defining	define	VERB
ejpam-5803	382	28	the	the	DET
ejpam-5803	382	29	truncated	truncated	ADJ
ejpam-5803	382	30	β	β	NOUN
ejpam-5803	382	31	-	-	ADJ
ejpam-5803	382	32	fractional	fractional	ADJ
ejpam-5803	382	33	derivative	derivative	NOUN
ejpam-5803	382	34	and	and	CCONJ
ejpam-5803	382	35	appears	appear	VERB
ejpam-5803	382	36	in	in	ADP
ejpam-5803	382	37	the	the	DET
ejpam-5803	382	38	solution	solution	NOUN
ejpam-5803	382	39	structures	structure	NOUN
ejpam-5803	382	40	of	of	ADP
ejpam-5803	382	41	fractional	fractional	ADJ
ejpam-5803	382	42	differential	differential	ADJ
ejpam-5803	382	43	equations	equation	NOUN
ejpam-5803	382	44	.	.	PUNCT
ejpam-5803	383	1	definition	definition	NOUN
ejpam-5803	383	2	2	2	NUM
ejpam-5803	383	3	.	.	PUNCT
ejpam-5803	384	1	let	let	VERB
ejpam-5803	384	2	u	u	PRON
ejpam-5803	384	3	:	:	PUNCT
ejpam-5803	384	4	[	[	X
ejpam-5803	384	5	0,∞	0,∞	NOUN
ejpam-5803	384	6	)	)	PUNCT
ejpam-5803	384	7	→	→	PUNCT
ejpam-5803	384	8	r.	r.	PROPN
ejpam-5803	384	9	the	the	DET
ejpam-5803	384	10	truncated	truncated	ADJ
ejpam-5803	384	11	β	β	NOUN
ejpam-5803	384	12	-	-	ADJ
ejpam-5803	384	13	fractional	fractional	ADJ
ejpam-5803	384	14	derivative	derivative	NOUN
ejpam-5803	384	15	of	of	ADP
ejpam-5803	384	16	the	the	DET
ejpam-5803	384	17	function	function	NOUN
ejpam-5803	384	18	u	u	NOUN
ejpam-5803	384	19	of	of	ADP
ejpam-5803	384	20	order	order	NOUN
ejpam-5803	384	21	ε	ε	PROPN
ejpam-5803	384	22	is	be	AUX
ejpam-5803	384	23	defined	define	VERB
ejpam-5803	384	24	by	by	ADP
ejpam-5803	384	25	the	the	DET
ejpam-5803	384	26	following	follow	VERB
ejpam-5803	384	27	expression	expression	NOUN
ejpam-5803	384	28	[	[	X
ejpam-5803	384	29	22	22	NUM
ejpam-5803	384	30	]	]	X
ejpam-5803	384	31	:	:	PUNCT
ejpam-5803	384	32	idε	idε	NOUN
ejpam-5803	384	33	,	,	PUNCT
ejpam-5803	384	34	z	z	NOUN
ejpam-5803	384	35	β	β	X
ejpam-5803	384	36	(	(	PUNCT
ejpam-5803	384	37	u(t	u(t	PROPN
ejpam-5803	384	38	)	)	PUNCT
ejpam-5803	384	39	)	)	PUNCT
ejpam-5803	385	1	=	=	SYM
ejpam-5803	385	2	lim	lim	PROPN
ejpam-5803	385	3	ε→0	ε→0	X
ejpam-5803	385	4	u	u	PROPN
ejpam-5803	385	5	(	(	PUNCT
ejpam-5803	385	6	t	t	PROPN
ejpam-5803	385	7	e	e	X
ejpam-5803	385	8	iz	iz	INTJ
ejpam-5803	385	9	(	(	PUNCT
ejpam-5803	385	10	εt1−ε))−	εt1−ε))−	NOUN
ejpam-5803	385	11	u(t	u(t	NOUN
ejpam-5803	385	12	)	)	PUNCT
ejpam-5803	385	13	ε	ε	PROPN
ejpam-5803	385	14	,	,	PUNCT
ejpam-5803	385	15	∀t	∀t	PROPN
ejpam-5803	385	16	>	>	X
ejpam-5803	385	17	0	0	NUM
ejpam-5803	385	18	,	,	PUNCT
ejpam-5803	385	19	(	(	PUNCT
ejpam-5803	385	20	30	30	NUM
ejpam-5803	385	21	)	)	PUNCT
ejpam-5803	385	22	where	where	SCONJ
ejpam-5803	385	23	0	0	NUM
ejpam-5803	385	24	<	<	X
ejpam-5803	385	25	ε	ε	X
ejpam-5803	385	26	<	<	X
ejpam-5803	385	27	1	1	NUM
ejpam-5803	385	28	and	and	CCONJ
ejpam-5803	385	29	z	z	NOUN
ejpam-5803	385	30	>	>	X
ejpam-5803	385	31	0	0	X
ejpam-5803	385	32	.	.	PUNCT
ejpam-5803	386	1	if	if	SCONJ
ejpam-5803	386	2	the	the	DET
ejpam-5803	386	3	truncated	truncated	ADJ
ejpam-5803	386	4	β	β	NOUN
ejpam-5803	386	5	-	-	ADJ
ejpam-5803	386	6	fractional	fractional	ADJ
ejpam-5803	386	7	derivative	derivative	NOUN
ejpam-5803	386	8	of	of	ADP
ejpam-5803	386	9	the	the	DET
ejpam-5803	386	10	function	function	NOUN
ejpam-5803	386	11	u	u	NOUN
ejpam-5803	386	12	of	of	ADP
ejpam-5803	386	13	order	order	NOUN
ejpam-5803	386	14	ε	ε	PROPN
ejpam-5803	386	15	exists	exist	VERB
ejpam-5803	386	16	,	,	PUNCT
ejpam-5803	386	17	then	then	ADV
ejpam-5803	386	18	the	the	DET
ejpam-5803	386	19	function	function	NOUN
ejpam-5803	386	20	u	u	NOUN
ejpam-5803	386	21	is	be	AUX
ejpam-5803	386	22	said	say	VERB
ejpam-5803	386	23	to	to	PART
ejpam-5803	386	24	be	be	AUX
ejpam-5803	386	25	ε	ε	NOUN
ejpam-5803	386	26	-	-	PUNCT
ejpam-5803	386	27	differentiable	differentiable	ADJ
ejpam-5803	386	28	.	.	PUNCT
ejpam-5803	387	1	note	note	NOUN
ejpam-5803	387	2	:	:	PUNCT
ejpam-5803	387	3	in	in	ADP
ejpam-5803	387	4	the	the	DET
ejpam-5803	387	5	main	main	ADJ
ejpam-5803	387	6	text	text	NOUN
ejpam-5803	387	7	of	of	ADP
ejpam-5803	387	8	this	this	DET
ejpam-5803	387	9	paper	paper	NOUN
ejpam-5803	387	10	,	,	PUNCT
ejpam-5803	387	11	we	we	PRON
ejpam-5803	387	12	use	use	VERB
ejpam-5803	387	13	the	the	DET
ejpam-5803	387	14	simplified	simplified	ADJ
ejpam-5803	387	15	notation	notation	NOUN
ejpam-5803	387	16	dϵ	dϵ	ADP
ejpam-5803	387	17	t	t	PROPN
ejpam-5803	387	18	to	to	PART
ejpam-5803	387	19	represent	represent	VERB
ejpam-5803	387	20	this	this	DET
ejpam-5803	387	21	derivative	derivative	NOUN
ejpam-5803	387	22	when	when	SCONJ
ejpam-5803	387	23	applied	apply	VERB
ejpam-5803	387	24	to	to	ADP
ejpam-5803	387	25	time	time	NOUN
ejpam-5803	387	26	-	-	PUNCT
ejpam-5803	387	27	dependent	dependent	ADJ
ejpam-5803	387	28	functions	function	NOUN
ejpam-5803	387	29	,	,	PUNCT
ejpam-5803	387	30	where	where	SCONJ
ejpam-5803	387	31	the	the	DET
ejpam-5803	387	32	subscript	subscript	NOUN
ejpam-5803	387	33	t	t	PROPN
ejpam-5803	387	34	indicates	indicate	VERB
ejpam-5803	387	35	differm	differm	NOUN
ejpam-5803	387	36	.	.	PUNCT
ejpam-5803	388	1	m.	m.	NOUN
ejpam-5803	388	2	a.	a.	NOUN
ejpam-5803	388	3	khater	khater	PROPN
ejpam-5803	388	4	/	/	SYM
ejpam-5803	388	5	eur	eur	PROPN
ejpam-5803	388	6	.	.	PUNCT
ejpam-5803	389	1	j.	j.	PROPN
ejpam-5803	389	2	pure	pure	PROPN
ejpam-5803	389	3	appl	appl	PROPN
ejpam-5803	389	4	.	.	PROPN
ejpam-5803	389	5	math	math	PROPN
ejpam-5803	389	6	,	,	PUNCT
ejpam-5803	389	7	18	18	NUM
ejpam-5803	389	8	(	(	PUNCT
ejpam-5803	389	9	4	4	NUM
ejpam-5803	389	10	)	)	PUNCT
ejpam-5803	389	11	(	(	PUNCT
ejpam-5803	389	12	2025	2025	NUM
ejpam-5803	389	13	)	)	PUNCT
ejpam-5803	389	14	,	,	PUNCT
ejpam-5803	389	15	5803	5803	NUM
ejpam-5803	389	16	24	24	NUM
ejpam-5803	389	17	of	of	ADP
ejpam-5803	389	18	31	31	NUM
ejpam-5803	389	19	figure	figure	NOUN
ejpam-5803	389	20	9	9	NUM
ejpam-5803	389	21	:	:	PUNCT
ejpam-5803	389	22	comparative	comparative	ADJ
ejpam-5803	389	23	analysis	analysis	NOUN
ejpam-5803	389	24	of	of	ADP
ejpam-5803	389	25	analytical	analytical	ADJ
ejpam-5803	389	26	and	and	CCONJ
ejpam-5803	389	27	numerical	numerical	ADJ
ejpam-5803	389	28	solutions	solution	NOUN
ejpam-5803	389	29	using	use	VERB
ejpam-5803	389	30	khat	khat	PROPN
ejpam-5803	389	31	ii	ii	PROPN
ejpam-5803	389	32	and	and	CCONJ
ejpam-5803	389	33	ekud	ekud	NOUN
ejpam-5803	389	34	methods	method	NOUN
ejpam-5803	389	35	.	.	PUNCT
ejpam-5803	390	1	this	this	DET
ejpam-5803	390	2	figure	figure	NOUN
ejpam-5803	390	3	presents	present	VERB
ejpam-5803	390	4	a	a	DET
ejpam-5803	390	5	detailed	detailed	ADJ
ejpam-5803	390	6	comparison	comparison	NOUN
ejpam-5803	390	7	of	of	ADP
ejpam-5803	390	8	the	the	DET
ejpam-5803	390	9	analytical	analytical	ADJ
ejpam-5803	390	10	solutions	solution	NOUN
ejpam-5803	390	11	derived	derive	VERB
ejpam-5803	390	12	from	from	ADP
ejpam-5803	390	13	the	the	DET
ejpam-5803	390	14	khat	khat	PROPN
ejpam-5803	390	15	ii	ii	PROPN
ejpam-5803	390	16	method	method	NOUN
ejpam-5803	390	17	(	(	PUNCT
ejpam-5803	390	18	subfigures	subfigure	NOUN
ejpam-5803	390	19	a	a	PRON
ejpam-5803	390	20	and	and	CCONJ
ejpam-5803	390	21	b	b	NOUN
ejpam-5803	390	22	)	)	PUNCT
ejpam-5803	390	23	and	and	CCONJ
ejpam-5803	390	24	the	the	DET
ejpam-5803	390	25	ekud	ekud	NOUN
ejpam-5803	390	26	method	method	NOUN
ejpam-5803	390	27	(	(	PUNCT
ejpam-5803	390	28	sub	sub	NOUN
ejpam-5803	390	29	-	-	NOUN
ejpam-5803	390	30	figures	figure	NOUN
ejpam-5803	390	31	c	c	NOUN
ejpam-5803	390	32	and	and	CCONJ
ejpam-5803	390	33	d	d	X
ejpam-5803	390	34	)	)	PUNCT
ejpam-5803	390	35	against	against	ADP
ejpam-5803	390	36	their	their	PRON
ejpam-5803	390	37	respective	respective	ADJ
ejpam-5803	390	38	numerical	numerical	ADJ
ejpam-5803	390	39	solutions	solution	NOUN
ejpam-5803	390	40	obtained	obtain	VERB
ejpam-5803	390	41	via	via	ADP
ejpam-5803	390	42	the	the	DET
ejpam-5803	390	43	adomian	adomian	NOUN
ejpam-5803	390	44	decomposition	decomposition	NOUN
ejpam-5803	390	45	scheme	scheme	NOUN
ejpam-5803	390	46	.	.	PUNCT
ejpam-5803	391	1	entiation	entiation	NOUN
ejpam-5803	391	2	with	with	ADP
ejpam-5803	391	3	respect	respect	NOUN
ejpam-5803	391	4	to	to	ADP
ejpam-5803	391	5	time	time	NOUN
ejpam-5803	391	6	.	.	PUNCT
ejpam-5803	392	1	this	this	DET
ejpam-5803	392	2	notation	notation	NOUN
ejpam-5803	392	3	is	be	AUX
ejpam-5803	392	4	equivalent	equivalent	ADJ
ejpam-5803	392	5	to	to	ADP
ejpam-5803	392	6	idε	idε	NOUN
ejpam-5803	392	7	,	,	PUNCT
ejpam-5803	392	8	z	z	NOUN
ejpam-5803	392	9	β	β	NOUN
ejpam-5803	392	10	with	with	ADP
ejpam-5803	392	11	the	the	DET
ejpam-5803	392	12	understanding	understanding	NOUN
ejpam-5803	392	13	that	that	PRON
ejpam-5803	392	14	the	the	DET
ejpam-5803	392	15	function	function	NOUN
ejpam-5803	392	16	is	be	AUX
ejpam-5803	392	17	being	be	AUX
ejpam-5803	392	18	differentiated	differentiate	VERB
ejpam-5803	392	19	with	with	ADP
ejpam-5803	392	20	respect	respect	NOUN
ejpam-5803	392	21	to	to	ADP
ejpam-5803	392	22	time	time	NOUN
ejpam-5803	392	23	.	.	PUNCT
ejpam-5803	393	1	theorem	theorem	ADJ
ejpam-5803	393	2	1	1	NUM
ejpam-5803	393	3	(	(	PUNCT
ejpam-5803	393	4	label	label	NOUN
ejpam-5803	393	5	=	=	SYM
ejpam-5803	393	6	th1	th1	NOUN
ejpam-5803	393	7	)	)	PUNCT
ejpam-5803	393	8	.	.	PUNCT
ejpam-5803	394	1	let	let	VERB
ejpam-5803	394	2	0	0	NUM
ejpam-5803	394	3	<	<	X
ejpam-5803	394	4	ε	ε	PROPN
ejpam-5803	394	5	≤	≤	NUM
ejpam-5803	394	6	1	1	NUM
ejpam-5803	394	7	,	,	PUNCT
ejpam-5803	394	8	z	z	NOUN
ejpam-5803	394	9	>	>	X
ejpam-5803	394	10	0	0	NUM
ejpam-5803	394	11	,	,	PUNCT
ejpam-5803	394	12	and	and	CCONJ
ejpam-5803	394	13	δ1	δ1	NOUN
ejpam-5803	394	14	,	,	PUNCT
ejpam-5803	394	15	δ2	δ2	VERB
ejpam-5803	394	16	∈	∈	PROPN
ejpam-5803	394	17	r	r	NOUN
ejpam-5803	394	18	,	,	PUNCT
ejpam-5803	394	19	with	with	ADP
ejpam-5803	394	20	u	u	NOUN
ejpam-5803	394	21	and	and	CCONJ
ejpam-5803	394	22	z	z	NOUN
ejpam-5803	394	23	being	be	AUX
ejpam-5803	394	24	ε	ε	PROPN
ejpam-5803	394	25	-	-	PUNCT
ejpam-5803	394	26	differentiable	differentiable	ADJ
ejpam-5803	394	27	functions	function	NOUN
ejpam-5803	394	28	at	at	ADP
ejpam-5803	394	29	a	a	DET
ejpam-5803	394	30	point	point	NOUN
ejpam-5803	394	31	t	t	NOUN
ejpam-5803	394	32	>	>	X
ejpam-5803	394	33	0	0	X
ejpam-5803	394	34	.	.	PUNCT
ejpam-5803	395	1	then	then	ADV
ejpam-5803	395	2	,	,	PUNCT
ejpam-5803	395	3	the	the	DET
ejpam-5803	395	4	following	follow	VERB
ejpam-5803	395	5	properties	property	NOUN
ejpam-5803	395	6	hold	hold	VERB
ejpam-5803	395	7	[	[	PUNCT
ejpam-5803	395	8	23]:	23]:	NUM
ejpam-5803	395	9	idε	idε	NOUN
ejpam-5803	395	10	,	,	PUNCT
ejpam-5803	395	11	z	z	NOUN
ejpam-5803	395	12	β	β	X
ejpam-5803	395	13	(	(	PUNCT
ejpam-5803	395	14	δ1	δ1	NOUN
ejpam-5803	395	15	u(t	u(t	NOUN
ejpam-5803	395	16	)	)	PUNCT
ejpam-5803	395	17	+	+	NUM
ejpam-5803	395	18	δ2z(t	δ2z(t	NOUN
ejpam-5803	395	19	)	)	PUNCT
ejpam-5803	395	20	)	)	PUNCT
ejpam-5803	396	1	=	=	SYM
ejpam-5803	396	2	δ1	δ1	NOUN
ejpam-5803	396	3	idε	idε	NOUN
ejpam-5803	396	4	,	,	PUNCT
ejpam-5803	396	5	z	z	NOUN
ejpam-5803	396	6	β	β	X
ejpam-5803	396	7	(	(	PUNCT
ejpam-5803	396	8	u(t	u(t	PROPN
ejpam-5803	396	9	)	)	PUNCT
ejpam-5803	396	10	)	)	PUNCT
ejpam-5803	397	1	+	+	CCONJ
ejpam-5803	397	2	δ2	δ2	VERB
ejpam-5803	397	3	idε	idε	NOUN
ejpam-5803	397	4	,	,	PUNCT
ejpam-5803	397	5	z	z	NOUN
ejpam-5803	397	6	β	β	X
ejpam-5803	397	7	(	(	PUNCT
ejpam-5803	397	8	z(t	z(t	NOUN
ejpam-5803	397	9	)	)	PUNCT
ejpam-5803	397	10	)	)	PUNCT
ejpam-5803	397	11	,	,	PUNCT
ejpam-5803	397	12	idε	idε	NOUN
ejpam-5803	397	13	,	,	PUNCT
ejpam-5803	397	14	z	z	NOUN
ejpam-5803	397	15	β	β	X
ejpam-5803	397	16	(	(	PUNCT
ejpam-5803	397	17	u(t	u(t	PROPN
ejpam-5803	397	18	)	)	PUNCT
ejpam-5803	397	19	·	·	PUNCT
ejpam-5803	397	20	z(t	z(t	NOUN
ejpam-5803	397	21	)	)	PUNCT
ejpam-5803	397	22	)	)	PUNCT
ejpam-5803	398	1	=	=	SYM
ejpam-5803	398	2	u(t	u(t	NOUN
ejpam-5803	398	3	)	)	PUNCT
ejpam-5803	398	4	idε	idε	NOUN
ejpam-5803	398	5	,	,	PUNCT
ejpam-5803	398	6	z	z	NOUN
ejpam-5803	398	7	β	β	X
ejpam-5803	398	8	(	(	PUNCT
ejpam-5803	398	9	z(t	z(t	NOUN
ejpam-5803	398	10	)	)	PUNCT
ejpam-5803	398	11	)	)	PUNCT
ejpam-5803	399	1	+	+	CCONJ
ejpam-5803	399	2	z(t	z(t	NOUN
ejpam-5803	399	3	)	)	PUNCT
ejpam-5803	399	4	idε	idε	NOUN
ejpam-5803	399	5	,	,	PUNCT
ejpam-5803	399	6	z	z	NOUN
ejpam-5803	399	7	β	β	X
ejpam-5803	399	8	(	(	PUNCT
ejpam-5803	399	9	u(t	u(t	PROPN
ejpam-5803	399	10	)	)	PUNCT
ejpam-5803	399	11	)	)	PUNCT
ejpam-5803	399	12	,	,	PUNCT
ejpam-5803	399	13	idε	idε	NOUN
ejpam-5803	399	14	,	,	PUNCT
ejpam-5803	399	15	z	z	NOUN
ejpam-5803	399	16	β	β	X
ejpam-5803	399	17	(	(	PUNCT
ejpam-5803	399	18	u(t	u(t	PROPN
ejpam-5803	399	19	)	)	PUNCT
ejpam-5803	399	20	z(t	z(t	NOUN
ejpam-5803	399	21	)	)	PUNCT
ejpam-5803	399	22	)	)	PUNCT
ejpam-5803	400	1	=	=	SYM
ejpam-5803	400	2	z(t	z(t	NOUN
ejpam-5803	400	3	)	)	PUNCT
ejpam-5803	400	4	idε	idε	NOUN
ejpam-5803	400	5	,	,	PUNCT
ejpam-5803	400	6	z	z	NOUN
ejpam-5803	400	7	β	β	X
ejpam-5803	400	8	(	(	PUNCT
ejpam-5803	400	9	u(t))−	u(t))−	PROPN
ejpam-5803	400	10	u(t	u(t	NOUN
ejpam-5803	400	11	)	)	PUNCT
ejpam-5803	400	12	idε	idε	NOUN
ejpam-5803	400	13	,	,	PUNCT
ejpam-5803	400	14	z	z	NOUN
ejpam-5803	400	15	β	β	X
ejpam-5803	400	16	(	(	PUNCT
ejpam-5803	400	17	z(t	z(t	NOUN
ejpam-5803	400	18	)	)	PUNCT
ejpam-5803	400	19	)	)	PUNCT
ejpam-5803	400	20	(	(	PUNCT
ejpam-5803	400	21	z(t)2	z(t)2	PROPN
ejpam-5803	400	22	)	)	PUNCT
ejpam-5803	400	23	,	,	PUNCT
ejpam-5803	400	24	idε	idε	NOUN
ejpam-5803	400	25	,	,	PUNCT
ejpam-5803	400	26	z	z	NOUN
ejpam-5803	400	27	β	β	X
ejpam-5803	400	28	(	(	PUNCT
ejpam-5803	400	29	δ	δ	PROPN
ejpam-5803	400	30	)	)	PUNCT
ejpam-5803	400	31	=	=	SYM
ejpam-5803	400	32	0	0	NUM
ejpam-5803	400	33	for	for	ADP
ejpam-5803	400	34	a	a	DET
ejpam-5803	400	35	constant	constant	ADJ
ejpam-5803	400	36	δ	δ	NOUN
ejpam-5803	400	37	=	=	SYM
ejpam-5803	400	38	u(t	u(t	PROPN
ejpam-5803	400	39	)	)	PUNCT
ejpam-5803	400	40	.	.	PUNCT
ejpam-5803	401	1	(	(	PUNCT
ejpam-5803	401	2	31	31	NUM
ejpam-5803	401	3	)	)	PUNCT
ejpam-5803	401	4	m.	m.	NOUN
ejpam-5803	401	5	m.	m.	NOUN
ejpam-5803	401	6	a.	a.	NOUN
ejpam-5803	401	7	khater	khater	PROPN
ejpam-5803	401	8	/	/	SYM
ejpam-5803	401	9	eur	eur	PROPN
ejpam-5803	401	10	.	.	PUNCT
ejpam-5803	402	1	j.	j.	PROPN
ejpam-5803	402	2	pure	pure	PROPN
ejpam-5803	402	3	appl	appl	PROPN
ejpam-5803	402	4	.	.	PROPN
ejpam-5803	402	5	math	math	PROPN
ejpam-5803	402	6	,	,	PUNCT
ejpam-5803	402	7	18	18	NUM
ejpam-5803	402	8	(	(	PUNCT
ejpam-5803	402	9	4	4	NUM
ejpam-5803	402	10	)	)	PUNCT
ejpam-5803	402	11	(	(	PUNCT
ejpam-5803	402	12	2025	2025	NUM
ejpam-5803	402	13	)	)	PUNCT
ejpam-5803	402	14	,	,	PUNCT
ejpam-5803	402	15	5803	5803	NUM
ejpam-5803	402	16	25	25	NUM
ejpam-5803	402	17	of	of	ADP
ejpam-5803	402	18	31	31	NUM
ejpam-5803	402	19	these	these	DET
ejpam-5803	402	20	properties	property	NOUN
ejpam-5803	402	21	demonstrate	demonstrate	VERB
ejpam-5803	402	22	that	that	SCONJ
ejpam-5803	402	23	the	the	DET
ejpam-5803	402	24	truncated	truncated	ADJ
ejpam-5803	402	25	β	β	NOUN
ejpam-5803	402	26	-	-	ADJ
ejpam-5803	402	27	fractional	fractional	ADJ
ejpam-5803	402	28	derivative	derivative	ADJ
ejpam-5803	402	29	preserves	preserve	NOUN
ejpam-5803	402	30	many	many	ADJ
ejpam-5803	402	31	of	of	ADP
ejpam-5803	402	32	the	the	DET
ejpam-5803	402	33	fundamental	fundamental	ADJ
ejpam-5803	402	34	properties	property	NOUN
ejpam-5803	402	35	of	of	ADP
ejpam-5803	402	36	classical	classical	ADJ
ejpam-5803	402	37	derivatives	derivative	NOUN
ejpam-5803	402	38	,	,	PUNCT
ejpam-5803	402	39	including	include	VERB
ejpam-5803	402	40	linearity	linearity	NOUN
ejpam-5803	402	41	(	(	PUNCT
ejpam-5803	402	42	first	first	ADJ
ejpam-5803	402	43	property	property	NOUN
ejpam-5803	402	44	)	)	PUNCT
ejpam-5803	402	45	,	,	PUNCT
ejpam-5803	402	46	the	the	DET
ejpam-5803	402	47	product	product	NOUN
ejpam-5803	402	48	rule	rule	NOUN
ejpam-5803	402	49	(	(	PUNCT
ejpam-5803	402	50	second	second	ADJ
ejpam-5803	402	51	property	property	NOUN
ejpam-5803	402	52	)	)	PUNCT
ejpam-5803	402	53	,	,	PUNCT
ejpam-5803	402	54	and	and	CCONJ
ejpam-5803	402	55	the	the	DET
ejpam-5803	402	56	quotient	quotient	NOUN
ejpam-5803	402	57	rule	rule	NOUN
ejpam-5803	402	58	(	(	PUNCT
ejpam-5803	402	59	third	third	ADJ
ejpam-5803	402	60	property	property	NOUN
ejpam-5803	402	61	)	)	PUNCT
ejpam-5803	402	62	.	.	PUNCT
ejpam-5803	403	1	the	the	DET
ejpam-5803	403	2	fourth	fourth	ADJ
ejpam-5803	403	3	property	property	NOUN
ejpam-5803	403	4	confirms	confirm	VERB
ejpam-5803	403	5	that	that	SCONJ
ejpam-5803	403	6	the	the	DET
ejpam-5803	403	7	derivative	derivative	NOUN
ejpam-5803	403	8	of	of	ADP
ejpam-5803	403	9	a	a	DET
ejpam-5803	403	10	constant	constant	ADJ
ejpam-5803	403	11	is	be	AUX
ejpam-5803	403	12	zero	zero	NUM
ejpam-5803	403	13	,	,	PUNCT
ejpam-5803	403	14	consistent	consistent	ADJ
ejpam-5803	403	15	with	with	ADP
ejpam-5803	403	16	classical	classical	ADJ
ejpam-5803	403	17	calculus	calculus	NOUN
ejpam-5803	403	18	.	.	PUNCT
ejpam-5803	404	1	these	these	DET
ejpam-5803	404	2	properties	property	NOUN
ejpam-5803	404	3	are	be	AUX
ejpam-5803	404	4	essential	essential	ADJ
ejpam-5803	404	5	for	for	SCONJ
ejpam-5803	404	6	the	the	DET
ejpam-5803	404	7	analytical	analytical	ADJ
ejpam-5803	404	8	manipulations	manipulation	NOUN
ejpam-5803	404	9	performed	perform	VERB
ejpam-5803	404	10	in	in	ADP
ejpam-5803	404	11	the	the	DET
ejpam-5803	404	12	main	main	ADJ
ejpam-5803	404	13	text	text	NOUN
ejpam-5803	404	14	of	of	ADP
ejpam-5803	404	15	this	this	DET
ejpam-5803	404	16	paper	paper	NOUN
ejpam-5803	404	17	.	.	PUNCT
ejpam-5803	405	1	theorem	theorem	NOUN
ejpam-5803	405	2	2	2	NUM
ejpam-5803	405	3	.	.	X
ejpam-5803	405	4	for	for	ADP
ejpam-5803	405	5	a	a	DET
ejpam-5803	405	6	differentiable	differentiable	ADJ
ejpam-5803	405	7	function	function	NOUN
ejpam-5803	405	8	u	u	NOUN
ejpam-5803	405	9	,	,	PUNCT
ejpam-5803	405	10	the	the	DET
ejpam-5803	405	11	truncated	truncated	ADJ
ejpam-5803	405	12	β	β	NOUN
ejpam-5803	405	13	-	-	ADJ
ejpam-5803	405	14	fractional	fractional	ADJ
ejpam-5803	405	15	derivative	derivative	NOUN
ejpam-5803	405	16	is	be	AUX
ejpam-5803	405	17	given	give	VERB
ejpam-5803	405	18	by	by	ADP
ejpam-5803	405	19	idε	idε	NOUN
ejpam-5803	405	20	,	,	PUNCT
ejpam-5803	405	21	z	z	NOUN
ejpam-5803	405	22	β	β	X
ejpam-5803	405	23	(	(	PUNCT
ejpam-5803	405	24	u(t	u(t	PROPN
ejpam-5803	405	25	)	)	PUNCT
ejpam-5803	405	26	)	)	PUNCT
ejpam-5803	406	1	=	=	PUNCT
ejpam-5803	406	2	t1−ε	t1−ε	NOUN
ejpam-5803	406	3	γ(z+	γ(z+	PUNCT
ejpam-5803	406	4	1	1	NUM
ejpam-5803	406	5	)	)	PUNCT
ejpam-5803	406	6	du(t	du(t	NOUN
ejpam-5803	406	7	)	)	PUNCT
ejpam-5803	406	8	dt	dt	X
ejpam-5803	406	9	.	.	PUNCT
ejpam-5803	407	1	(	(	PUNCT
ejpam-5803	407	2	32	32	NUM
ejpam-5803	407	3	)	)	PUNCT
ejpam-5803	407	4	this	this	DET
ejpam-5803	407	5	relationship	relationship	NOUN
ejpam-5803	407	6	is	be	AUX
ejpam-5803	407	7	particularly	particularly	ADV
ejpam-5803	407	8	significant	significant	ADJ
ejpam-5803	407	9	as	as	SCONJ
ejpam-5803	407	10	it	it	PRON
ejpam-5803	407	11	establishes	establish	VERB
ejpam-5803	407	12	a	a	DET
ejpam-5803	407	13	direct	direct	ADJ
ejpam-5803	407	14	connection	connection	NOUN
ejpam-5803	407	15	between	between	ADP
ejpam-5803	407	16	the	the	DET
ejpam-5803	407	17	truncated	truncated	ADJ
ejpam-5803	407	18	β	β	NOUN
ejpam-5803	407	19	-	-	ADJ
ejpam-5803	407	20	fractional	fractional	ADJ
ejpam-5803	407	21	derivative	derivative	NOUN
ejpam-5803	407	22	and	and	CCONJ
ejpam-5803	407	23	the	the	DET
ejpam-5803	407	24	classical	classical	ADJ
ejpam-5803	407	25	first	first	ADJ
ejpam-5803	407	26	-	-	PUNCT
ejpam-5803	407	27	order	order	NOUN
ejpam-5803	407	28	derivative	derivative	NOUN
ejpam-5803	407	29	.	.	PUNCT
ejpam-5803	408	1	the	the	DET
ejpam-5803	408	2	factor	factor	NOUN
ejpam-5803	408	3	t1−ε	t1−ε	PROPN
ejpam-5803	408	4	γ(z+1	γ(z+1	PROPN
ejpam-5803	408	5	)	)	PUNCT
ejpam-5803	408	6	acts	act	VERB
ejpam-5803	408	7	as	as	ADP
ejpam-5803	408	8	a	a	DET
ejpam-5803	408	9	time	time	NOUN
ejpam-5803	408	10	-	-	PUNCT
ejpam-5803	408	11	dependent	dependent	ADJ
ejpam-5803	408	12	weighting	weighting	NOUN
ejpam-5803	408	13	function	function	NOUN
ejpam-5803	408	14	that	that	PRON
ejpam-5803	408	15	modulates	modulate	VERB
ejpam-5803	408	16	the	the	DET
ejpam-5803	408	17	classical	classical	ADJ
ejpam-5803	408	18	derivative	derivative	NOUN
ejpam-5803	408	19	,	,	PUNCT
ejpam-5803	408	20	introducing	introduce	VERB
ejpam-5803	408	21	memory	memory	NOUN
ejpam-5803	408	22	effects	effect	NOUN
ejpam-5803	408	23	that	that	PRON
ejpam-5803	408	24	are	be	AUX
ejpam-5803	408	25	central	central	ADJ
ejpam-5803	408	26	to	to	ADP
ejpam-5803	408	27	the	the	DET
ejpam-5803	408	28	physical	physical	ADJ
ejpam-5803	408	29	phenomena	phenomenon	NOUN
ejpam-5803	408	30	studied	study	VERB
ejpam-5803	408	31	in	in	ADP
ejpam-5803	408	32	this	this	DET
ejpam-5803	408	33	paper	paper	NOUN
ejpam-5803	408	34	.	.	PUNCT
ejpam-5803	409	1	when	when	SCONJ
ejpam-5803	409	2	ε	ε	PROPN
ejpam-5803	409	3	=	=	SYM
ejpam-5803	409	4	1	1	NUM
ejpam-5803	409	5	,	,	PUNCT
ejpam-5803	409	6	this	this	DET
ejpam-5803	409	7	expression	expression	NOUN
ejpam-5803	409	8	reduces	reduce	VERB
ejpam-5803	409	9	to	to	ADP
ejpam-5803	409	10	the	the	DET
ejpam-5803	409	11	classical	classical	ADJ
ejpam-5803	409	12	derivative	derivative	NOUN
ejpam-5803	409	13	(	(	PUNCT
ejpam-5803	409	14	scaled	scale	VERB
ejpam-5803	409	15	by	by	ADP
ejpam-5803	409	16	a	a	DET
ejpam-5803	409	17	constant	constant	ADJ
ejpam-5803	409	18	)	)	PUNCT
ejpam-5803	409	19	,	,	PUNCT
ejpam-5803	409	20	demonstrating	demonstrate	VERB
ejpam-5803	409	21	that	that	SCONJ
ejpam-5803	409	22	the	the	DET
ejpam-5803	409	23	truncated	truncated	ADJ
ejpam-5803	409	24	β	β	NOUN
ejpam-5803	409	25	-	-	ADJ
ejpam-5803	409	26	fractional	fractional	ADJ
ejpam-5803	409	27	derivative	derivative	NOUN
ejpam-5803	409	28	is	be	AUX
ejpam-5803	409	29	a	a	DET
ejpam-5803	409	30	natural	natural	ADJ
ejpam-5803	409	31	generalization	generalization	NOUN
ejpam-5803	409	32	of	of	ADP
ejpam-5803	409	33	integer	integer	NOUN
ejpam-5803	409	34	-	-	PUNCT
ejpam-5803	409	35	order	order	NOUN
ejpam-5803	409	36	calculus	calculus	NOUN
ejpam-5803	409	37	.	.	PUNCT
ejpam-5803	410	1	corollary	corollary	ADJ
ejpam-5803	410	2	1	1	NUM
ejpam-5803	410	3	.	.	PUNCT
ejpam-5803	411	1	the	the	DET
ejpam-5803	411	2	truncated	truncated	ADJ
ejpam-5803	411	3	β	β	NOUN
ejpam-5803	411	4	-	-	ADJ
ejpam-5803	411	5	fractional	fractional	ADJ
ejpam-5803	411	6	derivative	derivative	NOUN
ejpam-5803	411	7	of	of	ADP
ejpam-5803	411	8	power	power	NOUN
ejpam-5803	411	9	functions	function	NOUN
ejpam-5803	411	10	follows	follow	VERB
ejpam-5803	411	11	the	the	DET
ejpam-5803	411	12	relation	relation	NOUN
ejpam-5803	411	13	:	:	PUNCT
ejpam-5803	411	14	idε	idε	NOUN
ejpam-5803	411	15	,	,	PUNCT
ejpam-5803	411	16	z	z	NOUN
ejpam-5803	411	17	β	β	X
ejpam-5803	411	18	(	(	PUNCT
ejpam-5803	411	19	tn	tn	PROPN
ejpam-5803	411	20	)	)	PUNCT
ejpam-5803	411	21	=	=	SYM
ejpam-5803	411	22	ntn+1−ε	ntn+1−ε	X
ejpam-5803	411	23	γ(z+	γ(z+	PUNCT
ejpam-5803	412	1	1	1	NUM
ejpam-5803	412	2	)	)	PUNCT
ejpam-5803	412	3	,	,	PUNCT
ejpam-5803	412	4	for	for	ADP
ejpam-5803	412	5	n	n	DET
ejpam-5803	412	6	∈	∈	PROPN
ejpam-5803	412	7	r.	r.	NOUN
ejpam-5803	412	8	(	(	PUNCT
ejpam-5803	412	9	33	33	NUM
ejpam-5803	412	10	)	)	PUNCT
ejpam-5803	412	11	this	this	DET
ejpam-5803	412	12	property	property	NOUN
ejpam-5803	412	13	is	be	AUX
ejpam-5803	412	14	particularly	particularly	ADV
ejpam-5803	412	15	useful	useful	ADJ
ejpam-5803	412	16	for	for	ADP
ejpam-5803	412	17	solving	solve	VERB
ejpam-5803	412	18	fractional	fractional	ADJ
ejpam-5803	412	19	differential	differential	ADJ
ejpam-5803	412	20	equations	equation	NOUN
ejpam-5803	412	21	involving	involve	VERB
ejpam-5803	412	22	power	power	NOUN
ejpam-5803	412	23	functions	function	NOUN
ejpam-5803	412	24	,	,	PUNCT
ejpam-5803	412	25	as	as	SCONJ
ejpam-5803	412	26	demonstrated	demonstrate	VERB
ejpam-5803	412	27	in	in	ADP
ejpam-5803	412	28	the	the	DET
ejpam-5803	412	29	wave	wave	NOUN
ejpam-5803	412	30	transformation	transformation	NOUN
ejpam-5803	412	31	techniques	technique	NOUN
ejpam-5803	412	32	employed	employ	VERB
ejpam-5803	412	33	in	in	ADP
ejpam-5803	412	34	the	the	DET
ejpam-5803	412	35	main	main	ADJ
ejpam-5803	412	36	text	text	NOUN
ejpam-5803	412	37	.	.	PUNCT
ejpam-5803	413	1	remark	remark	PROPN
ejpam-5803	413	2	1	1	NUM
ejpam-5803	413	3	.	.	PUNCT
ejpam-5803	414	1	the	the	DET
ejpam-5803	414	2	truncated	truncated	ADJ
ejpam-5803	414	3	β	β	NOUN
ejpam-5803	414	4	-	-	ADJ
ejpam-5803	414	5	fractional	fractional	ADJ
ejpam-5803	414	6	derivative	derivative	NOUN
ejpam-5803	414	7	was	be	AUX
ejpam-5803	414	8	selected	select	VERB
ejpam-5803	414	9	for	for	ADP
ejpam-5803	414	10	this	this	DET
ejpam-5803	414	11	study	study	NOUN
ejpam-5803	414	12	due	due	ADP
ejpam-5803	414	13	to	to	ADP
ejpam-5803	414	14	several	several	ADJ
ejpam-5803	414	15	advantageous	advantageous	ADJ
ejpam-5803	414	16	properties	property	NOUN
ejpam-5803	414	17	:	:	PUNCT
ejpam-5803	414	18	•	•	ADP
ejpam-5803	414	19	it	it	PRON
ejpam-5803	414	20	preserves	preserve	VERB
ejpam-5803	414	21	the	the	DET
ejpam-5803	414	22	classical	classical	ADJ
ejpam-5803	414	23	chain	chain	NOUN
ejpam-5803	414	24	rule	rule	NOUN
ejpam-5803	414	25	and	and	CCONJ
ejpam-5803	414	26	product	product	NOUN
ejpam-5803	414	27	rule	rule	NOUN
ejpam-5803	414	28	,	,	PUNCT
ejpam-5803	414	29	facilitating	facilitate	VERB
ejpam-5803	414	30	analytical	analytical	ADJ
ejpam-5803	414	31	manipulations	manipulation	NOUN
ejpam-5803	414	32	.	.	PUNCT
ejpam-5803	415	1	•	•	INTJ
ejpam-5803	415	2	it	it	PRON
ejpam-5803	415	3	effectively	effectively	ADV
ejpam-5803	415	4	captures	capture	VERB
ejpam-5803	415	5	memory	memory	NOUN
ejpam-5803	415	6	effects	effect	NOUN
ejpam-5803	415	7	in	in	ADP
ejpam-5803	415	8	physical	physical	ADJ
ejpam-5803	415	9	systems	system	NOUN
ejpam-5803	415	10	through	through	ADP
ejpam-5803	415	11	its	its	PRON
ejpam-5803	415	12	time	time	NOUN
ejpam-5803	415	13	-	-	PUNCT
ejpam-5803	415	14	dependent	dependent	ADJ
ejpam-5803	415	15	weighting	weighting	NOUN
ejpam-5803	415	16	function	function	NOUN
ejpam-5803	415	17	.	.	PUNCT
ejpam-5803	416	1	•	•	INTJ
ejpam-5803	416	2	it	it	PRON
ejpam-5803	416	3	provides	provide	VERB
ejpam-5803	416	4	a	a	DET
ejpam-5803	416	5	smooth	smooth	ADJ
ejpam-5803	416	6	transition	transition	NOUN
ejpam-5803	416	7	between	between	ADP
ejpam-5803	416	8	integer	integer	NOUN
ejpam-5803	416	9	-	-	PUNCT
ejpam-5803	416	10	order	order	NOUN
ejpam-5803	416	11	and	and	CCONJ
ejpam-5803	416	12	fractional	fractional	ADJ
ejpam-5803	416	13	-	-	PUNCT
ejpam-5803	416	14	order	order	NOUN
ejpam-5803	416	15	calculus	calculus	NOUN
ejpam-5803	416	16	.	.	PUNCT
ejpam-5803	417	1	•	•	NUM
ejpam-5803	417	2	it	it	PRON
ejpam-5803	417	3	yields	yield	VERB
ejpam-5803	417	4	more	more	ADJ
ejpam-5803	417	5	tractable	tractable	ADJ
ejpam-5803	417	6	mathematical	mathematical	ADJ
ejpam-5803	417	7	expressions	expression	NOUN
ejpam-5803	417	8	compared	compare	VERB
ejpam-5803	417	9	to	to	ADP
ejpam-5803	417	10	other	other	ADJ
ejpam-5803	417	11	fractional	fractional	ADJ
ejpam-5803	417	12	derivatives	derivative	NOUN
ejpam-5803	417	13	.	.	PUNCT
ejpam-5803	418	1	•	•	INTJ
ejpam-5803	418	2	it	it	PRON
ejpam-5803	418	3	has	have	AUX
ejpam-5803	418	4	demonstrated	demonstrate	VERB
ejpam-5803	418	5	effectiveness	effectiveness	NOUN
ejpam-5803	418	6	in	in	ADP
ejpam-5803	418	7	modeling	model	VERB
ejpam-5803	418	8	complex	complex	ADJ
ejpam-5803	418	9	physical	physical	ADJ
ejpam-5803	418	10	phenomena	phenomenon	NOUN
ejpam-5803	418	11	with	with	ADP
ejpam-5803	418	12	longrange	longrange	PROPN
ejpam-5803	418	13	interactions	interaction	NOUN
ejpam-5803	418	14	.	.	PUNCT
ejpam-5803	419	1	these	these	DET
ejpam-5803	419	2	properties	property	NOUN
ejpam-5803	419	3	make	make	VERB
ejpam-5803	419	4	the	the	DET
ejpam-5803	419	5	truncated	truncated	ADJ
ejpam-5803	419	6	β	β	NOUN
ejpam-5803	419	7	-	-	ADJ
ejpam-5803	419	8	fractional	fractional	ADJ
ejpam-5803	419	9	derivative	derivative	NOUN
ejpam-5803	419	10	particularly	particularly	ADV
ejpam-5803	419	11	suitable	suitable	ADJ
ejpam-5803	419	12	for	for	ADP
ejpam-5803	419	13	studying	study	VERB
ejpam-5803	419	14	the	the	DET
ejpam-5803	419	15	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	419	16	systems	system	NOUN
ejpam-5803	419	17	analyzed	analyze	VERB
ejpam-5803	419	18	in	in	ADP
ejpam-5803	419	19	this	this	DET
ejpam-5803	419	20	paper	paper	NOUN
ejpam-5803	419	21	,	,	PUNCT
ejpam-5803	419	22	where	where	SCONJ
ejpam-5803	419	23	memory	memory	NOUN
ejpam-5803	419	24	effects	effect	NOUN
ejpam-5803	419	25	and	and	CCONJ
ejpam-5803	419	26	non	non	ADJ
ejpam-5803	419	27	-	-	ADJ
ejpam-5803	419	28	local	local	ADJ
ejpam-5803	419	29	interactions	interaction	NOUN
ejpam-5803	419	30	play	play	VERB
ejpam-5803	419	31	crucial	crucial	ADJ
ejpam-5803	419	32	roles	role	NOUN
ejpam-5803	419	33	in	in	ADP
ejpam-5803	419	34	the	the	DET
ejpam-5803	419	35	system	system	NOUN
ejpam-5803	419	36	dynamics	dynamic	NOUN
ejpam-5803	419	37	.	.	PUNCT
ejpam-5803	420	1	m.	m.	NOUN
ejpam-5803	420	2	m.	m.	NOUN
ejpam-5803	420	3	a.	a.	NOUN
ejpam-5803	420	4	khater	khater	PROPN
ejpam-5803	420	5	/	/	SYM
ejpam-5803	420	6	eur	eur	PROPN
ejpam-5803	420	7	.	.	PUNCT
ejpam-5803	421	1	j.	j.	PROPN
ejpam-5803	421	2	pure	pure	PROPN
ejpam-5803	421	3	appl	appl	PROPN
ejpam-5803	421	4	.	.	PROPN
ejpam-5803	421	5	math	math	PROPN
ejpam-5803	421	6	,	,	PUNCT
ejpam-5803	421	7	18	18	NUM
ejpam-5803	421	8	(	(	PUNCT
ejpam-5803	421	9	4	4	NUM
ejpam-5803	421	10	)	)	PUNCT
ejpam-5803	421	11	(	(	PUNCT
ejpam-5803	421	12	2025	2025	NUM
ejpam-5803	421	13	)	)	PUNCT
ejpam-5803	421	14	,	,	PUNCT
ejpam-5803	421	15	5803	5803	NUM
ejpam-5803	421	16	26	26	NUM
ejpam-5803	421	17	of	of	ADP
ejpam-5803	421	18	31	31	NUM
ejpam-5803	421	19	physical	physical	ADJ
ejpam-5803	421	20	relevance	relevance	NOUN
ejpam-5803	421	21	and	and	CCONJ
ejpam-5803	421	22	justification	justification	NOUN
ejpam-5803	421	23	for	for	ADP
ejpam-5803	421	24	choosing	choose	VERB
ejpam-5803	421	25	the	the	DET
ejpam-5803	421	26	truncated	truncated	ADJ
ejpam-5803	421	27	β	β	NOUN
ejpam-5803	421	28	-	-	ADJ
ejpam-5803	421	29	fractional	fractional	ADJ
ejpam-5803	421	30	derivative	derivative	NOUN
ejpam-5803	421	31	the	the	DET
ejpam-5803	421	32	truncated	truncated	ADJ
ejpam-5803	421	33	β	β	NOUN
ejpam-5803	421	34	-	-	ADJ
ejpam-5803	421	35	fractional	fractional	ADJ
ejpam-5803	421	36	derivative	derivative	NOUN
ejpam-5803	421	37	was	be	AUX
ejpam-5803	421	38	chosen	choose	VERB
ejpam-5803	421	39	over	over	ADP
ejpam-5803	421	40	established	establish	VERB
ejpam-5803	421	41	definitions	definition	NOUN
ejpam-5803	421	42	due	due	ADP
ejpam-5803	421	43	to	to	ADP
ejpam-5803	421	44	its	its	PRON
ejpam-5803	421	45	unique	unique	ADJ
ejpam-5803	421	46	ability	ability	NOUN
ejpam-5803	421	47	to	to	PART
ejpam-5803	421	48	capture	capture	VERB
ejpam-5803	421	49	the	the	DET
ejpam-5803	421	50	memory	memory	NOUN
ejpam-5803	421	51	-	-	PUNCT
ejpam-5803	421	52	dependent	dependent	ADJ
ejpam-5803	421	53	processes	process	NOUN
ejpam-5803	421	54	inherent	inherent	ADJ
ejpam-5803	421	55	in	in	ADP
ejpam-5803	421	56	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	421	57	systems	system	NOUN
ejpam-5803	421	58	.	.	PUNCT
ejpam-5803	422	1	unlike	unlike	ADP
ejpam-5803	422	2	conventional	conventional	ADJ
ejpam-5803	422	3	derivatives	derivative	NOUN
ejpam-5803	422	4	,	,	PUNCT
ejpam-5803	422	5	the	the	DET
ejpam-5803	422	6	truncated	truncated	ADJ
ejpam-5803	422	7	β	β	NOUN
ejpam-5803	422	8	-	-	ADJ
ejpam-5803	422	9	fractional	fractional	ADJ
ejpam-5803	422	10	derivative	derivative	NOUN
ejpam-5803	422	11	incorporates	incorporate	VERB
ejpam-5803	422	12	a	a	DET
ejpam-5803	422	13	time	time	NOUN
ejpam-5803	422	14	-	-	PUNCT
ejpam-5803	422	15	dependent	dependent	ADJ
ejpam-5803	422	16	weighting	weighting	NOUN
ejpam-5803	422	17	function	function	NOUN
ejpam-5803	422	18	,	,	PUNCT
ejpam-5803	422	19	t1−ε	t1−ε	PROPN
ejpam-5803	422	20	γ(z+1	γ(z+1	PROPN
ejpam-5803	422	21	)	)	PUNCT
ejpam-5803	422	22	,	,	PUNCT
ejpam-5803	422	23	which	which	PRON
ejpam-5803	422	24	allows	allow	VERB
ejpam-5803	422	25	it	it	PRON
ejpam-5803	422	26	to	to	PART
ejpam-5803	422	27	account	account	VERB
ejpam-5803	422	28	for	for	ADP
ejpam-5803	422	29	the	the	DET
ejpam-5803	422	30	system	system	NOUN
ejpam-5803	422	31	’s	’s	PART
ejpam-5803	422	32	entire	entire	ADJ
ejpam-5803	422	33	history	history	NOUN
ejpam-5803	422	34	.	.	PUNCT
ejpam-5803	423	1	this	this	PRON
ejpam-5803	423	2	is	be	AUX
ejpam-5803	423	3	crucial	crucial	ADJ
ejpam-5803	423	4	for	for	ADP
ejpam-5803	423	5	modeling	model	VERB
ejpam-5803	423	6	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	423	7	materials	material	NOUN
ejpam-5803	423	8	,	,	PUNCT
ejpam-5803	423	9	where	where	SCONJ
ejpam-5803	423	10	the	the	DET
ejpam-5803	423	11	magnetization	magnetization	NOUN
ejpam-5803	423	12	dynamics	dynamic	NOUN
ejpam-5803	423	13	depend	depend	VERB
ejpam-5803	423	14	not	not	PART
ejpam-5803	423	15	only	only	ADV
ejpam-5803	423	16	on	on	ADP
ejpam-5803	423	17	the	the	DET
ejpam-5803	423	18	current	current	ADJ
ejpam-5803	423	19	state	state	NOUN
ejpam-5803	423	20	but	but	CCONJ
ejpam-5803	423	21	also	also	ADV
ejpam-5803	423	22	on	on	ADP
ejpam-5803	423	23	the	the	DET
ejpam-5803	423	24	previous	previous	ADJ
ejpam-5803	423	25	states	state	NOUN
ejpam-5803	423	26	of	of	ADP
ejpam-5803	423	27	the	the	DET
ejpam-5803	423	28	system	system	NOUN
ejpam-5803	423	29	.	.	PUNCT
ejpam-5803	424	1	additionally	additionally	ADV
ejpam-5803	424	2	,	,	PUNCT
ejpam-5803	424	3	the	the	DET
ejpam-5803	424	4	truncated	truncated	ADJ
ejpam-5803	424	5	β	β	NOUN
ejpam-5803	424	6	-	-	ADJ
ejpam-5803	424	7	fractional	fractional	ADJ
ejpam-5803	424	8	derivative	derivative	NOUN
ejpam-5803	424	9	provides	provide	VERB
ejpam-5803	424	10	a	a	DET
ejpam-5803	424	11	robust	robust	ADJ
ejpam-5803	424	12	mathematical	mathematical	ADJ
ejpam-5803	424	13	framework	framework	NOUN
ejpam-5803	424	14	that	that	PRON
ejpam-5803	424	15	can	can	AUX
ejpam-5803	424	16	effectively	effectively	ADV
ejpam-5803	424	17	model	model	VERB
ejpam-5803	424	18	long	long	ADJ
ejpam-5803	424	19	-	-	PUNCT
ejpam-5803	424	20	range	range	NOUN
ejpam-5803	424	21	interactions	interaction	NOUN
ejpam-5803	424	22	and	and	CCONJ
ejpam-5803	424	23	non	non	ADJ
ejpam-5803	424	24	-	-	ADJ
ejpam-5803	424	25	local	local	ADJ
ejpam-5803	424	26	correlations	correlation	NOUN
ejpam-5803	424	27	in	in	ADP
ejpam-5803	424	28	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	424	29	materials	material	NOUN
ejpam-5803	424	30	.	.	PUNCT
ejpam-5803	425	1	its	its	PRON
ejpam-5803	425	2	ability	ability	NOUN
ejpam-5803	425	3	to	to	PART
ejpam-5803	425	4	preserve	preserve	VERB
ejpam-5803	425	5	key	key	ADJ
ejpam-5803	425	6	properties	property	NOUN
ejpam-5803	425	7	of	of	ADP
ejpam-5803	425	8	classical	classical	ADJ
ejpam-5803	425	9	derivatives	derivative	NOUN
ejpam-5803	425	10	,	,	PUNCT
ejpam-5803	425	11	such	such	ADJ
ejpam-5803	425	12	as	as	ADP
ejpam-5803	425	13	linearity	linearity	NOUN
ejpam-5803	425	14	and	and	CCONJ
ejpam-5803	425	15	the	the	DET
ejpam-5803	425	16	product	product	NOUN
ejpam-5803	425	17	rule	rule	NOUN
ejpam-5803	425	18	,	,	PUNCT
ejpam-5803	425	19	makes	make	VERB
ejpam-5803	425	20	it	it	PRON
ejpam-5803	425	21	a	a	DET
ejpam-5803	425	22	powerful	powerful	ADJ
ejpam-5803	425	23	tool	tool	NOUN
ejpam-5803	425	24	for	for	ADP
ejpam-5803	425	25	analytical	analytical	ADJ
ejpam-5803	425	26	manipulations	manipulation	NOUN
ejpam-5803	425	27	and	and	CCONJ
ejpam-5803	425	28	ensures	ensure	VERB
ejpam-5803	425	29	consistency	consistency	NOUN
ejpam-5803	425	30	with	with	ADP
ejpam-5803	425	31	classical	classical	ADJ
ejpam-5803	425	32	calculus	calculus	NOUN
ejpam-5803	425	33	when	when	SCONJ
ejpam-5803	425	34	ε	ε	PROPN
ejpam-5803	425	35	=	=	SYM
ejpam-5803	425	36	1	1	X
ejpam-5803	425	37	.	.	PUNCT
ejpam-5803	426	1	the	the	DET
ejpam-5803	426	2	practical	practical	ADJ
ejpam-5803	426	3	advantage	advantage	NOUN
ejpam-5803	426	4	of	of	ADP
ejpam-5803	426	5	the	the	DET
ejpam-5803	426	6	truncated	truncated	ADJ
ejpam-5803	426	7	β	β	NOUN
ejpam-5803	426	8	-	-	ADJ
ejpam-5803	426	9	fractional	fractional	ADJ
ejpam-5803	426	10	derivative	derivative	ADJ
ejpam-5803	426	11	lies	lie	NOUN
ejpam-5803	426	12	in	in	ADP
ejpam-5803	426	13	its	its	PRON
ejpam-5803	426	14	balance	balance	NOUN
ejpam-5803	426	15	between	between	ADP
ejpam-5803	426	16	theoretical	theoretical	ADJ
ejpam-5803	426	17	rigor	rigor	NOUN
ejpam-5803	426	18	and	and	CCONJ
ejpam-5803	426	19	computational	computational	ADJ
ejpam-5803	426	20	tractability	tractability	NOUN
ejpam-5803	426	21	.	.	PUNCT
ejpam-5803	427	1	it	it	PRON
ejpam-5803	427	2	offers	offer	VERB
ejpam-5803	427	3	a	a	DET
ejpam-5803	427	4	more	more	ADV
ejpam-5803	427	5	nuanced	nuanced	ADJ
ejpam-5803	427	6	representation	representation	NOUN
ejpam-5803	427	7	of	of	ADP
ejpam-5803	427	8	time	time	NOUN
ejpam-5803	427	9	-	-	PUNCT
ejpam-5803	427	10	dependent	dependent	ADJ
ejpam-5803	427	11	behaviors	behavior	NOUN
ejpam-5803	427	12	in	in	ADP
ejpam-5803	427	13	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	427	14	systems	system	NOUN
ejpam-5803	427	15	while	while	SCONJ
ejpam-5803	427	16	remaining	remain	VERB
ejpam-5803	427	17	amenable	amenable	ADJ
ejpam-5803	427	18	to	to	ADP
ejpam-5803	427	19	both	both	CCONJ
ejpam-5803	427	20	analytical	analytical	ADJ
ejpam-5803	427	21	and	and	CCONJ
ejpam-5803	427	22	numerical	numerical	ADJ
ejpam-5803	427	23	solution	solution	NOUN
ejpam-5803	427	24	techniques	technique	NOUN
ejpam-5803	427	25	.	.	PUNCT
ejpam-5803	428	1	this	this	PRON
ejpam-5803	428	2	makes	make	VERB
ejpam-5803	428	3	it	it	PRON
ejpam-5803	428	4	an	an	DET
ejpam-5803	428	5	ideal	ideal	ADJ
ejpam-5803	428	6	choice	choice	NOUN
ejpam-5803	428	7	for	for	ADP
ejpam-5803	428	8	our	our	PRON
ejpam-5803	428	9	study	study	NOUN
ejpam-5803	428	10	,	,	PUNCT
ejpam-5803	428	11	where	where	SCONJ
ejpam-5803	428	12	accurately	accurately	ADV
ejpam-5803	428	13	capturing	capture	VERB
ejpam-5803	428	14	the	the	DET
ejpam-5803	428	15	complex	complex	ADJ
ejpam-5803	428	16	dynamics	dynamic	NOUN
ejpam-5803	428	17	of	of	ADP
ejpam-5803	428	18	magnetization	magnetization	NOUN
ejpam-5803	428	19	is	be	AUX
ejpam-5803	428	20	essential	essential	ADJ
ejpam-5803	428	21	.	.	PUNCT
ejpam-5803	429	1	this	this	DET
ejpam-5803	429	2	subsection	subsection	NOUN
ejpam-5803	429	3	explicitly	explicitly	ADV
ejpam-5803	429	4	justifies	justify	VERB
ejpam-5803	429	5	why	why	SCONJ
ejpam-5803	429	6	this	this	DET
ejpam-5803	429	7	specific	specific	ADJ
ejpam-5803	429	8	derivative	derivative	NOUN
ejpam-5803	429	9	was	be	AUX
ejpam-5803	429	10	chosen	choose	VERB
ejpam-5803	429	11	over	over	ADP
ejpam-5803	429	12	established	established	ADJ
ejpam-5803	429	13	definitions	definition	NOUN
ejpam-5803	429	14	,	,	PUNCT
ejpam-5803	429	15	highlighting	highlight	VERB
ejpam-5803	429	16	its	its	PRON
ejpam-5803	429	17	ability	ability	NOUN
ejpam-5803	429	18	to	to	PART
ejpam-5803	429	19	capture	capture	VERB
ejpam-5803	429	20	memory	memory	NOUN
ejpam-5803	429	21	effects	effect	NOUN
ejpam-5803	429	22	and	and	CCONJ
ejpam-5803	429	23	non	non	ADJ
ejpam-5803	429	24	-	-	ADJ
ejpam-5803	429	25	local	local	ADJ
ejpam-5803	429	26	interactions	interaction	NOUN
ejpam-5803	429	27	in	in	ADP
ejpam-5803	429	28	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	429	29	systems	system	NOUN
ejpam-5803	429	30	.	.	PUNCT
ejpam-5803	430	1	it	it	PRON
ejpam-5803	430	2	also	also	ADV
ejpam-5803	430	3	emphasizes	emphasize	VERB
ejpam-5803	430	4	the	the	DET
ejpam-5803	430	5	derivative	derivative	NOUN
ejpam-5803	430	6	’s	’s	PART
ejpam-5803	430	7	balance	balance	NOUN
ejpam-5803	430	8	between	between	ADP
ejpam-5803	430	9	theoretical	theoretical	ADJ
ejpam-5803	430	10	rigor	rigor	NOUN
ejpam-5803	430	11	and	and	CCONJ
ejpam-5803	430	12	computational	computational	ADJ
ejpam-5803	430	13	tractability	tractability	NOUN
ejpam-5803	430	14	,	,	PUNCT
ejpam-5803	430	15	making	make	VERB
ejpam-5803	430	16	it	it	PRON
ejpam-5803	430	17	suitable	suitable	ADJ
ejpam-5803	430	18	for	for	ADP
ejpam-5803	430	19	studying	study	VERB
ejpam-5803	430	20	the	the	DET
ejpam-5803	430	21	complex	complex	ADJ
ejpam-5803	430	22	dynamics	dynamic	NOUN
ejpam-5803	430	23	of	of	ADP
ejpam-5803	430	24	magnetization	magnetization	NOUN
ejpam-5803	430	25	in	in	ADP
ejpam-5803	430	26	ferromagnetic	ferromagnetic	ADJ
ejpam-5803	430	27	materials	material	NOUN
ejpam-5803	430	28	.	.	PUNCT
ejpam-5803	431	1	declarations	declaration	NOUN
ejpam-5803	431	2	author	author	NOUN
ejpam-5803	431	3	contribution	contribution	NOUN
ejpam-5803	431	4	statement	statement	NOUN
ejpam-5803	431	5	:	:	PUNCT
ejpam-5803	431	6	mostafa	mostafa	PROPN
ejpam-5803	431	7	m.	m.	PROPN
ejpam-5803	431	8	a.	a.	PROPN
ejpam-5803	431	9	khater	khater	PROPN
ejpam-5803	431	10	;	;	PUNCT
ejpam-5803	431	11	conceived	conceive	VERB
ejpam-5803	431	12	and	and	CCONJ
ejpam-5803	431	13	designed	design	VERB
ejpam-5803	431	14	the	the	DET
ejpam-5803	431	15	experiments	experiment	NOUN
ejpam-5803	431	16	;	;	PUNCT
ejpam-5803	431	17	performed	perform	VERB
ejpam-5803	431	18	the	the	DET
ejpam-5803	431	19	experiments	experiment	NOUN
ejpam-5803	431	20	;	;	PUNCT
ejpam-5803	431	21	analyzed	analyze	VERB
ejpam-5803	431	22	and	and	CCONJ
ejpam-5803	431	23	interpreted	interpret	VERB
ejpam-5803	431	24	the	the	DET
ejpam-5803	431	25	data;contributed	data;contribute	VERB
ejpam-5803	431	26	reagents	reagent	NOUN
ejpam-5803	431	27	,	,	PUNCT
ejpam-5803	431	28	materials	material	NOUN
ejpam-5803	431	29	,	,	PUNCT
ejpam-5803	431	30	analysis	analysis	NOUN
ejpam-5803	431	31	tools	tool	NOUN
ejpam-5803	431	32	,	,	PUNCT
ejpam-5803	431	33	and	and	CCONJ
ejpam-5803	431	34	data	datum	NOUN
ejpam-5803	431	35	;	;	PUNCT
ejpam-5803	431	36	wrote	write	VERB
ejpam-5803	431	37	and	and	CCONJ
ejpam-5803	431	38	finalized	finalize	VERB
ejpam-5803	431	39	the	the	DET
ejpam-5803	431	40	paper	paper	NOUN
ejpam-5803	431	41	.	.	PUNCT
ejpam-5803	432	1	ethics	ethic	NOUN
ejpam-5803	432	2	approval	approval	NOUN
ejpam-5803	432	3	and	and	CCONJ
ejpam-5803	432	4	consent	consent	NOUN
ejpam-5803	432	5	to	to	PART
ejpam-5803	432	6	participate	participate	VERB
ejpam-5803	432	7	not	not	PART
ejpam-5803	432	8	applicable	applicable	ADJ
ejpam-5803	432	9	.	.	PUNCT
ejpam-5803	433	1	m.	m.	NOUN
ejpam-5803	433	2	m.	m.	NOUN
ejpam-5803	433	3	a.	a.	NOUN
ejpam-5803	433	4	khater	khater	PROPN
ejpam-5803	433	5	/	/	SYM
ejpam-5803	433	6	eur	eur	PROPN
ejpam-5803	433	7	.	.	PUNCT
ejpam-5803	434	1	j.	j.	PROPN
ejpam-5803	434	2	pure	pure	PROPN
ejpam-5803	434	3	appl	appl	PROPN
ejpam-5803	434	4	.	.	PROPN
ejpam-5803	434	5	math	math	PROPN
ejpam-5803	434	6	,	,	PUNCT
ejpam-5803	434	7	18	18	NUM
ejpam-5803	434	8	(	(	PUNCT
ejpam-5803	434	9	4	4	NUM
ejpam-5803	434	10	)	)	PUNCT
ejpam-5803	434	11	(	(	PUNCT
ejpam-5803	434	12	2025	2025	NUM
ejpam-5803	434	13	)	)	PUNCT
ejpam-5803	434	14	,	,	PUNCT
ejpam-5803	434	15	5803	5803	NUM
ejpam-5803	434	16	27	27	NUM
ejpam-5803	434	17	of	of	ADP
ejpam-5803	434	18	31	31	NUM
ejpam-5803	434	19	use	use	NOUN
ejpam-5803	434	20	of	of	ADP
ejpam-5803	434	21	ai	ai	ADJ
ejpam-5803	434	22	tools	tool	NOUN
ejpam-5803	434	23	declaration	declaration	NOUN
ejpam-5803	434	24	during	during	ADP
ejpam-5803	434	25	the	the	DET
ejpam-5803	434	26	preparation	preparation	NOUN
ejpam-5803	434	27	of	of	ADP
ejpam-5803	434	28	this	this	DET
ejpam-5803	434	29	work	work	NOUN
ejpam-5803	434	30	,	,	PUNCT
ejpam-5803	434	31	the	the	DET
ejpam-5803	434	32	authors	author	NOUN
ejpam-5803	434	33	used	use	VERB
ejpam-5803	434	34	claude	claude	PROPN
ejpam-5803	434	35	,	,	PUNCT
ejpam-5803	434	36	and	and	CCONJ
ejpam-5803	434	37	scispace	scispace	NOUN
ejpam-5803	434	38	to	to	PART
ejpam-5803	434	39	assist	assist	VERB
ejpam-5803	434	40	with	with	ADP
ejpam-5803	434	41	improving	improve	VERB
ejpam-5803	434	42	the	the	DET
ejpam-5803	434	43	clarity	clarity	NOUN
ejpam-5803	434	44	of	of	ADP
ejpam-5803	434	45	language	language	NOUN
ejpam-5803	434	46	,	,	PUNCT
ejpam-5803	434	47	organization	organization	NOUN
ejpam-5803	434	48	of	of	ADP
ejpam-5803	434	49	ideas	idea	NOUN
ejpam-5803	434	50	,	,	PUNCT
ejpam-5803	434	51	and	and	CCONJ
ejpam-5803	434	52	formatting	formatting	NOUN
ejpam-5803	434	53	of	of	ADP
ejpam-5803	434	54	references	reference	NOUN
ejpam-5803	434	55	.	.	PUNCT
ejpam-5803	435	1	these	these	DET
ejpam-5803	435	2	tools	tool	NOUN
ejpam-5803	435	3	were	be	AUX
ejpam-5803	435	4	employed	employ	VERB
ejpam-5803	435	5	solely	solely	ADV
ejpam-5803	435	6	for	for	ADP
ejpam-5803	435	7	linguistic	linguistic	ADJ
ejpam-5803	435	8	and	and	CCONJ
ejpam-5803	435	9	structural	structural	ADJ
ejpam-5803	435	10	enhancement	enhancement	NOUN
ejpam-5803	435	11	,	,	PUNCT
ejpam-5803	435	12	without	without	ADP
ejpam-5803	435	13	altering	alter	VERB
ejpam-5803	435	14	the	the	DET
ejpam-5803	435	15	scientific	scientific	ADJ
ejpam-5803	435	16	content	content	NOUN
ejpam-5803	435	17	or	or	CCONJ
ejpam-5803	435	18	analysis	analysis	NOUN
ejpam-5803	435	19	.	.	PUNCT
ejpam-5803	436	1	after	after	ADP
ejpam-5803	436	2	using	use	VERB
ejpam-5803	436	3	these	these	DET
ejpam-5803	436	4	tools	tool	NOUN
ejpam-5803	436	5	,	,	PUNCT
ejpam-5803	436	6	the	the	DET
ejpam-5803	436	7	authors	author	NOUN
ejpam-5803	436	8	carefully	carefully	ADV
ejpam-5803	436	9	reviewed	review	VERB
ejpam-5803	436	10	and	and	CCONJ
ejpam-5803	436	11	edited	edit	VERB
ejpam-5803	436	12	the	the	DET
ejpam-5803	436	13	content	content	NOUN
ejpam-5803	436	14	as	as	SCONJ
ejpam-5803	436	15	needed	need	VERB
ejpam-5803	436	16	and	and	CCONJ
ejpam-5803	436	17	take	take	VERB
ejpam-5803	436	18	full	full	ADJ
ejpam-5803	436	19	responsibility	responsibility	NOUN
ejpam-5803	436	20	for	for	ADP
ejpam-5803	436	21	the	the	DET
ejpam-5803	436	22	accuracy	accuracy	NOUN
ejpam-5803	436	23	and	and	CCONJ
ejpam-5803	436	24	integrity	integrity	NOUN
ejpam-5803	436	25	of	of	ADP
ejpam-5803	436	26	the	the	DET
ejpam-5803	436	27	publication	publication	NOUN
ejpam-5803	436	28	.	.	PUNCT
ejpam-5803	437	1	availability	availability	NOUN
ejpam-5803	437	2	of	of	ADP
ejpam-5803	437	3	data	datum	NOUN
ejpam-5803	437	4	and	and	CCONJ
ejpam-5803	437	5	material	material	NOUN
ejpam-5803	437	6	the	the	DET
ejpam-5803	437	7	data	datum	NOUN
ejpam-5803	437	8	that	that	PRON
ejpam-5803	437	9	support	support	VERB
ejpam-5803	437	10	the	the	DET
ejpam-5803	437	11	findings	finding	NOUN
ejpam-5803	437	12	of	of	ADP
ejpam-5803	437	13	this	this	DET
ejpam-5803	437	14	study	study	NOUN
ejpam-5803	437	15	are	be	AUX
ejpam-5803	437	16	available	available	ADJ
ejpam-5803	437	17	from	from	ADP
ejpam-5803	437	18	the	the	DET
ejpam-5803	437	19	corresponding	corresponding	ADJ
ejpam-5803	437	20	author	author	NOUN
ejpam-5803	437	21	upon	upon	SCONJ
ejpam-5803	437	22	reasonable	reasonable	ADJ
ejpam-5803	437	23	request	request	NOUN
ejpam-5803	437	24	.	.	PUNCT
ejpam-5803	438	1	competing	compete	VERB
ejpam-5803	438	2	interests	interest	NOUN
ejpam-5803	438	3	the	the	DET
ejpam-5803	438	4	author	author	NOUN
ejpam-5803	438	5	declares	declare	VERB
ejpam-5803	438	6	that	that	SCONJ
ejpam-5803	438	7	he	he	PRON
ejpam-5803	438	8	has	have	VERB
ejpam-5803	438	9	no	no	DET
ejpam-5803	438	10	competing	compete	VERB
ejpam-5803	438	11	interests	interest	NOUN
ejpam-5803	438	12	.	.	PUNCT
ejpam-5803	439	1	funding	fund	VERB
ejpam-5803	439	2	no	no	DET
ejpam-5803	439	3	fund	fund	NOUN
ejpam-5803	439	4	has	have	AUX
ejpam-5803	439	5	been	be	AUX
ejpam-5803	439	6	received	receive	VERB
ejpam-5803	439	7	for	for	ADP
ejpam-5803	439	8	making	make	VERB
ejpam-5803	439	9	this	this	DET
ejpam-5803	439	10	study	study	NOUN
ejpam-5803	439	11	.	.	PUNCT
ejpam-5803	440	1	references	reference	NOUN
ejpam-5803	440	2	[	[	X
ejpam-5803	440	3	1	1	NUM
ejpam-5803	440	4	]	]	X
ejpam-5803	440	5	hai	hai	PROPN
ejpam-5803	440	6	-	-	PUNCT
ejpam-5803	440	7	yang	yang	PROPN
ejpam-5803	440	8	kong	kong	PROPN
ejpam-5803	440	9	and	and	CCONJ
ejpam-5803	440	10	rui	rui	PROPN
ejpam-5803	440	11	guo	guo	PROPN
ejpam-5803	440	12	.	.	PUNCT
ejpam-5803	441	1	dynamic	dynamic	ADJ
ejpam-5803	441	2	behaviors	behavior	NOUN
ejpam-5803	441	3	of	of	ADP
ejpam-5803	441	4	novel	novel	ADJ
ejpam-5803	441	5	nonlinear	nonlinear	ADJ
ejpam-5803	441	6	wave	wave	NOUN
ejpam-5803	441	7	solutions	solution	NOUN
ejpam-5803	441	8	for	for	ADP
ejpam-5803	441	9	the	the	DET
ejpam-5803	441	10	akbota	akbota	ADJ
ejpam-5803	441	11	equation	equation	NOUN
ejpam-5803	441	12	.	.	PUNCT
ejpam-5803	442	1	optik	optik	PROPN
ejpam-5803	442	2	,	,	PUNCT
ejpam-5803	442	3	282:170863	282:170863	NUM
ejpam-5803	442	4	,	,	PUNCT
ejpam-5803	442	5	2023	2023	NUM
ejpam-5803	442	6	.	.	PUNCT
ejpam-5803	443	1	[	[	X
ejpam-5803	443	2	2	2	NUM
ejpam-5803	443	3	]	]	PUNCT
ejpam-5803	443	4	thilagarajah	thilagarajah	NOUN
ejpam-5803	443	5	mathanaranjan	mathanaranjan	NOUN
ejpam-5803	443	6	and	and	CCONJ
ejpam-5803	443	7	ratbay	ratbay	PROPN
ejpam-5803	443	8	myrzakulov	myrzakulov	NOUN
ejpam-5803	443	9	.	.	PUNCT
ejpam-5803	444	1	integrable	integrable	ADJ
ejpam-5803	444	2	akbota	akbota	ADJ
ejpam-5803	444	3	equation	equation	NOUN
ejpam-5803	444	4	:	:	PUNCT
ejpam-5803	444	5	conservation	conservation	NOUN
ejpam-5803	444	6	laws	law	NOUN
ejpam-5803	444	7	,	,	PUNCT
ejpam-5803	444	8	optical	optical	ADJ
ejpam-5803	444	9	soliton	soliton	NOUN
ejpam-5803	444	10	solutions	solution	NOUN
ejpam-5803	444	11	and	and	CCONJ
ejpam-5803	444	12	stability	stability	NOUN
ejpam-5803	444	13	analysis	analysis	NOUN
ejpam-5803	444	14	.	.	PUNCT
ejpam-5803	445	1	optical	optical	ADJ
ejpam-5803	445	2	and	and	CCONJ
ejpam-5803	445	3	quantum	quantum	ADJ
ejpam-5803	445	4	electronics	electronic	NOUN
ejpam-5803	445	5	,	,	PUNCT
ejpam-5803	445	6	56(4):564	56(4):564	NOUN
ejpam-5803	445	7	,	,	PUNCT
ejpam-5803	445	8	2024	2024	NUM
ejpam-5803	445	9	.	.	PUNCT
ejpam-5803	446	1	[	[	X
ejpam-5803	446	2	3	3	X
ejpam-5803	446	3	]	]	X
ejpam-5803	446	4	zhao	zhao	PROPN
ejpam-5803	446	5	li	li	PROPN
ejpam-5803	446	6	and	and	CCONJ
ejpam-5803	446	7	shan	shan	PROPN
ejpam-5803	446	8	zhao	zhao	PROPN
ejpam-5803	446	9	.	.	PUNCT
ejpam-5803	447	1	bifurcation	bifurcation	NOUN
ejpam-5803	447	2	,	,	PUNCT
ejpam-5803	447	3	chaotic	chaotic	ADJ
ejpam-5803	447	4	behavior	behavior	NOUN
ejpam-5803	447	5	and	and	CCONJ
ejpam-5803	447	6	solitary	solitary	ADJ
ejpam-5803	447	7	wave	wave	NOUN
ejpam-5803	447	8	solutions	solution	NOUN
ejpam-5803	447	9	for	for	ADP
ejpam-5803	447	10	the	the	DET
ejpam-5803	447	11	akbota	akbota	ADJ
ejpam-5803	447	12	equation	equation	NOUN
ejpam-5803	447	13	.	.	PUNCT
ejpam-5803	448	1	aims	aim	VERB
ejpam-5803	448	2	mathematics	mathematic	NOUN
ejpam-5803	448	3	,	,	PUNCT
ejpam-5803	448	4	9(8):22590–22601	9(8):22590–22601	NUM
ejpam-5803	448	5	,	,	PUNCT
ejpam-5803	448	6	2024	2024	NUM
ejpam-5803	448	7	.	.	PUNCT
ejpam-5803	449	1	[	[	X
ejpam-5803	449	2	4	4	X
ejpam-5803	449	3	]	]	X
ejpam-5803	449	4	muhammad	muhammad	PROPN
ejpam-5803	449	5	moneeb	moneeb	PROPN
ejpam-5803	449	6	tariq	tariq	PROPN
ejpam-5803	449	7	,	,	PUNCT
ejpam-5803	449	8	muhammad	muhammad	PROPN
ejpam-5803	449	9	bilal	bilal	PROPN
ejpam-5803	449	10	riaz	riaz	PROPN
ejpam-5803	449	11	,	,	PUNCT
ejpam-5803	449	12	and	and	CCONJ
ejpam-5803	449	13	muhammad	muhammad	PROPN
ejpam-5803	449	14	aziz	aziz	PROPN
ejpam-5803	449	15	-	-	PUNCT
ejpam-5803	449	16	ur	ur	PROPN
ejpam-5803	449	17	rehman	rehman	PROPN
ejpam-5803	449	18	.	.	PUNCT
ejpam-5803	450	1	investigation	investigation	NOUN
ejpam-5803	450	2	of	of	ADP
ejpam-5803	450	3	space	space	NOUN
ejpam-5803	450	4	-	-	PUNCT
ejpam-5803	450	5	time	time	NOUN
ejpam-5803	450	6	dynamics	dynamic	NOUN
ejpam-5803	450	7	of	of	ADP
ejpam-5803	450	8	akbota	akbota	ADJ
ejpam-5803	450	9	equation	equation	NOUN
ejpam-5803	450	10	using	use	VERB
ejpam-5803	450	11	sardar	sardar	PROPN
ejpam-5803	450	12	sub	sub	NOUN
ejpam-5803	450	13	-	-	NOUN
ejpam-5803	450	14	equation	equation	NOUN
ejpam-5803	450	15	and	and	CCONJ
ejpam-5803	450	16	khater	khater	NOUN
ejpam-5803	450	17	methods	method	NOUN
ejpam-5803	450	18	:	:	PUNCT
ejpam-5803	450	19	unveiling	unveil	VERB
ejpam-5803	450	20	bifurcation	bifurcation	NOUN
ejpam-5803	450	21	and	and	CCONJ
ejpam-5803	450	22	chaotic	chaotic	ADJ
ejpam-5803	450	23	structure	structure	NOUN
ejpam-5803	450	24	.	.	PUNCT
ejpam-5803	451	1	international	international	ADJ
ejpam-5803	451	2	journal	journal	PROPN
ejpam-5803	451	3	of	of	ADP
ejpam-5803	451	4	theoretical	theoretical	ADJ
ejpam-5803	451	5	physics	physic	NOUN
ejpam-5803	451	6	,	,	PUNCT
ejpam-5803	451	7	63(8):1–24	63(8):1–24	NUM
ejpam-5803	451	8	,	,	PUNCT
ejpam-5803	451	9	2024	2024	NUM
ejpam-5803	451	10	.	.	PUNCT
ejpam-5803	452	1	[	[	X
ejpam-5803	452	2	5	5	NUM
ejpam-5803	452	3	]	]	PUNCT
ejpam-5803	452	4	muath	muath	NOUN
ejpam-5803	452	5	awadalla	awadalla	NOUN
ejpam-5803	452	6	,	,	PUNCT
ejpam-5803	452	7	aigul	aigul	NOUN
ejpam-5803	452	8	taishiyeva	taishiyeva	PROPN
ejpam-5803	452	9	,	,	PUNCT
ejpam-5803	452	10	ratbay	ratbay	VERB
ejpam-5803	452	11	myrzakulov	myrzakulov	NOUN
ejpam-5803	452	12	,	,	PUNCT
ejpam-5803	452	13	jihan	jihan	PROPN
ejpam-5803	452	14	alahmadi	alahmadi	PROPN
ejpam-5803	452	15	,	,	PUNCT
ejpam-5803	452	16	abdullah	abdullah	VERB
ejpam-5803	452	17	a	a	DET
ejpam-5803	452	18	zaagan	zaagan	NOUN
ejpam-5803	452	19	,	,	PUNCT
ejpam-5803	452	20	and	and	CCONJ
ejpam-5803	452	21	ahmet	ahmet	PROPN
ejpam-5803	452	22	bekir	bekir	PROPN
ejpam-5803	452	23	.	.	PUNCT
ejpam-5803	453	1	exact	exact	ADJ
ejpam-5803	453	2	analytical	analytical	ADJ
ejpam-5803	453	3	soliton	soliton	NOUN
ejpam-5803	453	4	solutions	solution	NOUN
ejpam-5803	453	5	of	of	ADP
ejpam-5803	453	6	the	the	DET
ejpam-5803	453	7	m	m	NOUN
ejpam-5803	453	8	-	-	PUNCT
ejpam-5803	453	9	fractional	fractional	ADJ
ejpam-5803	453	10	akbota	akbota	ADJ
ejpam-5803	453	11	equation	equation	NOUN
ejpam-5803	453	12	.	.	PUNCT
ejpam-5803	454	1	scientific	scientific	ADJ
ejpam-5803	454	2	reports	report	NOUN
ejpam-5803	454	3	,	,	PUNCT
ejpam-5803	454	4	14(1):13360	14(1):13360	NUM
ejpam-5803	454	5	,	,	PUNCT
ejpam-5803	454	6	2024	2024	NUM
ejpam-5803	454	7	.	.	PUNCT
ejpam-5803	455	1	[	[	X
ejpam-5803	455	2	6	6	NUM
ejpam-5803	455	3	]	]	X
ejpam-5803	455	4	waqas	waqas	PROPN
ejpam-5803	455	5	ali	ali	PROPN
ejpam-5803	455	6	faridi	faridi	PROPN
ejpam-5803	455	7	,	,	PUNCT
ejpam-5803	455	8	muhammad	muhammad	PROPN
ejpam-5803	455	9	abu	abu	PROPN
ejpam-5803	455	10	bakar	bakar	PROPN
ejpam-5803	455	11	,	,	PUNCT
ejpam-5803	455	12	adil	adil	PROPN
ejpam-5803	455	13	jhangeer	jhangeer	PROPN
ejpam-5803	455	14	,	,	PUNCT
ejpam-5803	455	15	ferdous	ferdous	ADJ
ejpam-5803	455	16	tawfiq	tawfiq	PROPN
ejpam-5803	455	17	,	,	PUNCT
ejpam-5803	455	18	ratbay	ratbay	VERB
ejpam-5803	455	19	myrzakulov	myrzakulov	NOUN
ejpam-5803	455	20	,	,	PUNCT
ejpam-5803	455	21	and	and	CCONJ
ejpam-5803	455	22	akgul	akgul	PROPN
ejpam-5803	455	23	naizagarayeva	naizagarayeva	PROPN
ejpam-5803	455	24	.	.	PUNCT
ejpam-5803	456	1	dynamical	dynamical	ADJ
ejpam-5803	456	2	visualization	visualization	NOUN
ejpam-5803	456	3	and	and	CCONJ
ejpam-5803	456	4	propagation	propagation	NOUN
ejpam-5803	456	5	of	of	ADP
ejpam-5803	456	6	soliton	soliton	NOUN
ejpam-5803	456	7	solutions	solution	NOUN
ejpam-5803	456	8	of	of	ADP
ejpam-5803	456	9	akbota	akbota	ADJ
ejpam-5803	456	10	equation	equation	NOUN
ejpam-5803	456	11	arising	arise	VERB
ejpam-5803	456	12	in	in	ADP
ejpam-5803	456	13	surface	surface	NOUN
ejpam-5803	456	14	geometry	geometry	NOUN
ejpam-5803	456	15	.	.	PUNCT
ejpam-5803	457	1	modern	modern	ADJ
ejpam-5803	457	2	physics	physics	NOUN
ejpam-5803	457	3	letters	letters	PROPN
ejpam-5803	457	4	b	b	NOUN
ejpam-5803	457	5	,	,	PUNCT
ejpam-5803	457	6	page	page	NOUN
ejpam-5803	457	7	2550018	2550018	NUM
ejpam-5803	457	8	,	,	PUNCT
ejpam-5803	457	9	2024	2024	NUM
ejpam-5803	457	10	.	.	PUNCT
ejpam-5803	458	1	m.	m.	NOUN
ejpam-5803	458	2	m.	m.	NOUN
ejpam-5803	458	3	a.	a.	NOUN
ejpam-5803	458	4	khater	khater	PROPN
ejpam-5803	458	5	/	/	SYM
ejpam-5803	458	6	eur	eur	PROPN
ejpam-5803	458	7	.	.	PUNCT
ejpam-5803	459	1	j.	j.	PROPN
ejpam-5803	459	2	pure	pure	PROPN
ejpam-5803	459	3	appl	appl	PROPN
ejpam-5803	459	4	.	.	PROPN
ejpam-5803	459	5	math	math	PROPN
ejpam-5803	459	6	,	,	PUNCT
ejpam-5803	459	7	18	18	NUM
ejpam-5803	459	8	(	(	PUNCT
ejpam-5803	459	9	4	4	NUM
ejpam-5803	459	10	)	)	PUNCT
ejpam-5803	459	11	(	(	PUNCT
ejpam-5803	459	12	2025	2025	NUM
ejpam-5803	459	13	)	)	PUNCT
ejpam-5803	459	14	,	,	PUNCT
ejpam-5803	459	15	5803	5803	NUM
ejpam-5803	459	16	28	28	NUM
ejpam-5803	459	17	of	of	ADP
ejpam-5803	459	18	31	31	NUM
ejpam-5803	459	19	[	[	X
ejpam-5803	459	20	7	7	NUM
ejpam-5803	459	21	]	]	X
ejpam-5803	459	22	mostafa	mostafa	PROPN
ejpam-5803	459	23	m.	m.	PROPN
ejpam-5803	459	24	a.	a.	PROPN
ejpam-5803	459	25	khater	khater	PROPN
ejpam-5803	459	26	.	.	PUNCT
ejpam-5803	460	1	dynamic	dynamic	ADJ
ejpam-5803	460	2	insights	insight	NOUN
ejpam-5803	460	3	into	into	ADP
ejpam-5803	460	4	nonlinear	nonlinear	ADJ
ejpam-5803	460	5	evolution	evolution	NOUN
ejpam-5803	460	6	:	:	PUNCT
ejpam-5803	460	7	analytical	analytical	ADJ
ejpam-5803	460	8	exploration	exploration	NOUN
ejpam-5803	460	9	of	of	ADP
ejpam-5803	460	10	a	a	DET
ejpam-5803	460	11	modified	modify	VERB
ejpam-5803	460	12	width	width	ADJ
ejpam-5803	460	13	-	-	PUNCT
ejpam-5803	460	14	burgers	burger	NOUN
ejpam-5803	460	15	equation	equation	NOUN
ejpam-5803	460	16	.	.	PUNCT
ejpam-5803	461	1	chaos	chaos	NOUN
ejpam-5803	461	2	solitons	soliton	NOUN
ejpam-5803	461	3	and	and	CCONJ
ejpam-5803	461	4	fractals	fractal	NOUN
ejpam-5803	461	5	,	,	PUNCT
ejpam-5803	461	6	184:115042	184:115042	NUM
ejpam-5803	461	7	,	,	PUNCT
ejpam-5803	461	8	july	july	PROPN
ejpam-5803	461	9	2024	2024	NUM
ejpam-5803	461	10	.	.	PUNCT
ejpam-5803	462	1	[	[	X
ejpam-5803	462	2	8	8	NUM
ejpam-5803	462	3	]	]	X
ejpam-5803	462	4	mostafa	mostafa	PROPN
ejpam-5803	462	5	m.	m.	PROPN
ejpam-5803	462	6	a.	a.	PROPN
ejpam-5803	462	7	khater	khater	PROPN
ejpam-5803	462	8	.	.	PUNCT
ejpam-5803	463	1	unraveling	unravel	VERB
ejpam-5803	463	2	dynamics	dynamic	NOUN
ejpam-5803	463	3	:	:	PUNCT
ejpam-5803	463	4	analytical	analytical	ADJ
ejpam-5803	463	5	insights	insight	NOUN
ejpam-5803	463	6	into	into	ADP
ejpam-5803	463	7	liquid	liquid	ADJ
ejpam-5803	463	8	–	–	PUNCT
ejpam-5803	463	9	gas	gas	NOUN
ejpam-5803	463	10	interactions	interaction	NOUN
ejpam-5803	463	11	.	.	PUNCT
ejpam-5803	464	1	chaos	chaos	NOUN
ejpam-5803	464	2	solitons	soliton	NOUN
ejpam-5803	464	3	and	and	CCONJ
ejpam-5803	464	4	fractals	fractal	NOUN
ejpam-5803	464	5	,	,	PUNCT
ejpam-5803	464	6	184:114977	184:114977	NUM
ejpam-5803	464	7	,	,	PUNCT
ejpam-5803	464	8	july	july	PROPN
ejpam-5803	464	9	2024	2024	NUM
ejpam-5803	464	10	.	.	PUNCT
ejpam-5803	465	1	[	[	X
ejpam-5803	465	2	9	9	NUM
ejpam-5803	465	3	]	]	X
ejpam-5803	465	4	mostafa	mostafa	PROPN
ejpam-5803	465	5	ma	ma	PROPN
ejpam-5803	465	6	khater	khater	PROPN
ejpam-5803	465	7	and	and	CCONJ
ejpam-5803	465	8	taher	taher	DET
ejpam-5803	465	9	a	a	DET
ejpam-5803	465	10	nofal	nofal	NOUN
ejpam-5803	465	11	.	.	PUNCT
ejpam-5803	466	1	exploring	explore	VERB
ejpam-5803	466	2	the	the	DET
ejpam-5803	466	3	interplay	interplay	NOUN
ejpam-5803	466	4	of	of	ADP
ejpam-5803	466	5	dispersion	dispersion	NOUN
ejpam-5803	466	6	,	,	PUNCT
ejpam-5803	466	7	selfsteepening	selfsteepening	NOUN
ejpam-5803	466	8	,	,	PUNCT
ejpam-5803	466	9	and	and	CCONJ
ejpam-5803	466	10	self	self	NOUN
ejpam-5803	466	11	-	-	PUNCT
ejpam-5803	466	12	frequency	frequency	NOUN
ejpam-5803	466	13	shift	shift	NOUN
ejpam-5803	466	14	in	in	ADP
ejpam-5803	466	15	nonlinear	nonlinear	ADJ
ejpam-5803	466	16	wave	wave	NOUN
ejpam-5803	466	17	propagation	propagation	NOUN
ejpam-5803	466	18	.	.	PUNCT
ejpam-5803	467	1	optical	optical	ADJ
ejpam-5803	467	2	and	and	CCONJ
ejpam-5803	467	3	quantum	quantum	NOUN
ejpam-5803	467	4	electronics	electronic	NOUN
ejpam-5803	467	5	,	,	PUNCT
ejpam-5803	467	6	56(10):1731	56(10):1731	NUM
ejpam-5803	467	7	,	,	PUNCT
ejpam-5803	467	8	2024	2024	NUM
ejpam-5803	467	9	.	.	PUNCT
ejpam-5803	468	1	[	[	X
ejpam-5803	468	2	10	10	NUM
ejpam-5803	468	3	]	]	X
ejpam-5803	468	4	mohammad	mohammad	PROPN
ejpam-5803	468	5	alqudah	alqudah	PROPN
ejpam-5803	468	6	,	,	PUNCT
ejpam-5803	468	7	maalee	maalee	PROPN
ejpam-5803	468	8	almheidat	almheidat	PROPN
ejpam-5803	468	9	,	,	PUNCT
ejpam-5803	468	10	mm	mm	PROPN
ejpam-5803	468	11	alqarni	alqarni	PROPN
ejpam-5803	468	12	,	,	PUNCT
ejpam-5803	468	13	emad	emad	PROPN
ejpam-5803	468	14	e	e	PROPN
ejpam-5803	468	15	mahmoud	mahmoud	PROPN
ejpam-5803	468	16	,	,	PUNCT
ejpam-5803	468	17	and	and	CCONJ
ejpam-5803	468	18	shabir	shabir	PROPN
ejpam-5803	468	19	ahmad	ahmad	PROPN
ejpam-5803	468	20	.	.	PUNCT
ejpam-5803	469	1	strange	strange	ADJ
ejpam-5803	469	2	attractors	attractor	NOUN
ejpam-5803	469	3	,	,	PUNCT
ejpam-5803	469	4	nonlinear	nonlinear	ADJ
ejpam-5803	469	5	dynamics	dynamic	NOUN
ejpam-5803	469	6	and	and	CCONJ
ejpam-5803	469	7	abundant	abundant	ADJ
ejpam-5803	469	8	novel	novel	ADJ
ejpam-5803	469	9	soliton	soliton	NOUN
ejpam-5803	469	10	solutions	solution	NOUN
ejpam-5803	469	11	of	of	ADP
ejpam-5803	469	12	the	the	DET
ejpam-5803	469	13	akbota	akbota	ADJ
ejpam-5803	469	14	equation	equation	NOUN
ejpam-5803	469	15	in	in	ADP
ejpam-5803	469	16	heisenberg	heisenberg	PROPN
ejpam-5803	469	17	ferromagnets	ferromagnet	NOUN
ejpam-5803	469	18	.	.	PUNCT
ejpam-5803	470	1	chaos	chaos	NOUN
ejpam-5803	470	2	,	,	PUNCT
ejpam-5803	470	3	solitons	soliton	NOUN
ejpam-5803	470	4	&	&	CCONJ
ejpam-5803	470	5	fractals	fractal	NOUN
ejpam-5803	470	6	,	,	PUNCT
ejpam-5803	470	7	189:115659	189:115659	NUM
ejpam-5803	470	8	,	,	PUNCT
ejpam-5803	470	9	2024	2024	NUM
ejpam-5803	470	10	.	.	PUNCT
ejpam-5803	471	1	[	[	X
ejpam-5803	471	2	11	11	NUM
ejpam-5803	471	3	]	]	X
ejpam-5803	471	4	akbota	akbota	ADJ
ejpam-5803	471	5	myrzakul	myrzakul	ADJ
ejpam-5803	471	6	,	,	PUNCT
ejpam-5803	471	7	gulgassyl	gulgassyl	ADJ
ejpam-5803	471	8	nugmanova	nugmanova	PROPN
ejpam-5803	471	9	,	,	PUNCT
ejpam-5803	471	10	nurzhan	nurzhan	PROPN
ejpam-5803	471	11	serikbayev	serikbayev	PROPN
ejpam-5803	471	12	,	,	PUNCT
ejpam-5803	471	13	and	and	CCONJ
ejpam-5803	471	14	ratbay	ratbay	VERB
ejpam-5803	471	15	myrzakulov	myrzakulov	NOUN
ejpam-5803	471	16	.	.	PUNCT
ejpam-5803	472	1	surfaces	surface	NOUN
ejpam-5803	472	2	and	and	CCONJ
ejpam-5803	472	3	curves	curve	NOUN
ejpam-5803	472	4	induced	induce	VERB
ejpam-5803	472	5	by	by	ADP
ejpam-5803	472	6	nonlinear	nonlinear	ADJ
ejpam-5803	472	7	schrödinger	schrödinger	ADJ
ejpam-5803	472	8	-	-	PUNCT
ejpam-5803	472	9	type	type	NOUN
ejpam-5803	472	10	equations	equation	NOUN
ejpam-5803	472	11	and	and	CCONJ
ejpam-5803	472	12	their	their	PRON
ejpam-5803	472	13	spin	spin	NOUN
ejpam-5803	472	14	systems	system	NOUN
ejpam-5803	472	15	.	.	PUNCT
ejpam-5803	473	1	symmetry	symmetry	PROPN
ejpam-5803	473	2	,	,	PUNCT
ejpam-5803	473	3	13(10):1827	13(10):1827	NUM
ejpam-5803	473	4	,	,	PUNCT
ejpam-5803	473	5	2021	2021	NUM
ejpam-5803	473	6	.	.	PUNCT
ejpam-5803	474	1	[	[	X
ejpam-5803	474	2	12	12	NUM
ejpam-5803	474	3	]	]	X
ejpam-5803	474	4	zhanna	zhanna	NOUN
ejpam-5803	474	5	sagidullayeva	sagidullayeva	NOUN
ejpam-5803	474	6	,	,	PUNCT
ejpam-5803	474	7	gulgassyl	gulgassyl	ADJ
ejpam-5803	474	8	nugmanova	nugmanova	PROPN
ejpam-5803	474	9	,	,	PUNCT
ejpam-5803	474	10	ratbay	ratbay	VERB
ejpam-5803	474	11	myrzakulov	myrzakulov	NOUN
ejpam-5803	474	12	,	,	PUNCT
ejpam-5803	474	13	and	and	CCONJ
ejpam-5803	474	14	nurzhan	nurzhan	PROPN
ejpam-5803	474	15	serikbayev	serikbayev	PROPN
ejpam-5803	474	16	.	.	PUNCT
ejpam-5803	475	1	integrable	integrable	ADJ
ejpam-5803	475	2	kuralay	kuralay	PROPN
ejpam-5803	475	3	equations	equation	NOUN
ejpam-5803	475	4	:	:	PUNCT
ejpam-5803	475	5	geometry	geometry	NOUN
ejpam-5803	475	6	,	,	PUNCT
ejpam-5803	475	7	solutions	solution	NOUN
ejpam-5803	475	8	and	and	CCONJ
ejpam-5803	475	9	generalizations	generalization	NOUN
ejpam-5803	475	10	.	.	PUNCT
ejpam-5803	476	1	symmetry	symmetry	NOUN
ejpam-5803	476	2	,	,	PUNCT
ejpam-5803	476	3	14(7):1374	14(7):1374	NUM
ejpam-5803	476	4	,	,	PUNCT
ejpam-5803	476	5	2022	2022	NUM
ejpam-5803	476	6	.	.	PUNCT
ejpam-5803	477	1	[	[	X
ejpam-5803	477	2	13	13	NUM
ejpam-5803	477	3	]	]	X
ejpam-5803	477	4	waqas	waqas	PROPN
ejpam-5803	477	5	ali	ali	PROPN
ejpam-5803	477	6	faridi	faridi	PROPN
ejpam-5803	477	7	,	,	PUNCT
ejpam-5803	477	8	muhammad	muhammad	PROPN
ejpam-5803	477	9	abu	abu	PROPN
ejpam-5803	477	10	bakar	bakar	PROPN
ejpam-5803	477	11	,	,	PUNCT
ejpam-5803	477	12	muhammad	muhammad	PROPN
ejpam-5803	477	13	bilal	bilal	PROPN
ejpam-5803	477	14	riaz	riaz	PROPN
ejpam-5803	477	15	,	,	PUNCT
ejpam-5803	477	16	zhaidary	zhaidary	ADJ
ejpam-5803	477	17	myrzakulova	myrzakulova	NOUN
ejpam-5803	477	18	,	,	PUNCT
ejpam-5803	477	19	ratbay	ratbay	VERB
ejpam-5803	477	20	myrzakulov	myrzakulov	NOUN
ejpam-5803	477	21	,	,	PUNCT
ejpam-5803	477	22	and	and	CCONJ
ejpam-5803	477	23	almetwally	almetwally	ADV
ejpam-5803	477	24	m	m	PROPN
ejpam-5803	477	25	mostafa	mostafa	PROPN
ejpam-5803	477	26	.	.	PUNCT
ejpam-5803	478	1	exploring	explore	VERB
ejpam-5803	478	2	the	the	DET
ejpam-5803	478	3	optical	optical	ADJ
ejpam-5803	478	4	soliton	soliton	NOUN
ejpam-5803	478	5	solutions	solution	NOUN
ejpam-5803	478	6	of	of	ADP
ejpam-5803	478	7	heisenberg	heisenberg	PROPN
ejpam-5803	478	8	ferromagnet	ferromagnet	NOUN
ejpam-5803	478	9	-	-	PUNCT
ejpam-5803	478	10	type	type	NOUN
ejpam-5803	478	11	of	of	ADP
ejpam-5803	478	12	akbota	akbota	ADJ
ejpam-5803	478	13	equation	equation	NOUN
ejpam-5803	478	14	arising	arise	VERB
ejpam-5803	478	15	in	in	ADP
ejpam-5803	478	16	surface	surface	NOUN
ejpam-5803	478	17	geometry	geometry	NOUN
ejpam-5803	478	18	by	by	ADP
ejpam-5803	478	19	explicit	explicit	ADJ
ejpam-5803	478	20	approach	approach	NOUN
ejpam-5803	478	21	.	.	PUNCT
ejpam-5803	479	1	optical	optical	ADJ
ejpam-5803	479	2	and	and	CCONJ
ejpam-5803	479	3	quantum	quantum	NOUN
ejpam-5803	479	4	electronics	electronic	NOUN
ejpam-5803	479	5	,	,	PUNCT
ejpam-5803	479	6	56(6):1046	56(6):1046	NUM
ejpam-5803	479	7	,	,	PUNCT
ejpam-5803	479	8	2024	2024	NUM
ejpam-5803	479	9	.	.	PUNCT
ejpam-5803	480	1	[	[	X
ejpam-5803	480	2	14	14	NUM
ejpam-5803	480	3	]	]	X
ejpam-5803	480	4	waqas	waqas	PROPN
ejpam-5803	480	5	ali	ali	PROPN
ejpam-5803	480	6	faridi	faridi	PROPN
ejpam-5803	480	7	,	,	PUNCT
ejpam-5803	480	8	muhammad	muhammad	PROPN
ejpam-5803	480	9	abu	abu	PROPN
ejpam-5803	480	10	bakar	bakar	PROPN
ejpam-5803	480	11	,	,	PUNCT
ejpam-5803	480	12	muhammad	muhammad	PROPN
ejpam-5803	480	13	bilal	bilal	PROPN
ejpam-5803	480	14	riaz	riaz	PROPN
ejpam-5803	480	15	,	,	PUNCT
ejpam-5803	480	16	zhaidary	zhaidary	ADJ
ejpam-5803	480	17	myrzakulova	myrzakulova	NOUN
ejpam-5803	480	18	,	,	PUNCT
ejpam-5803	480	19	ratbay	ratbay	VERB
ejpam-5803	480	20	myrzakulov	myrzakulov	NOUN
ejpam-5803	480	21	,	,	PUNCT
ejpam-5803	480	22	and	and	CCONJ
ejpam-5803	480	23	almetwally	almetwally	ADV
ejpam-5803	480	24	m	m	PROPN
ejpam-5803	480	25	mostafa	mostafa	PROPN
ejpam-5803	480	26	.	.	PUNCT
ejpam-5803	481	1	exploring	explore	VERB
ejpam-5803	481	2	the	the	DET
ejpam-5803	481	3	optical	optical	ADJ
ejpam-5803	481	4	soliton	soliton	NOUN
ejpam-5803	481	5	solutions	solution	NOUN
ejpam-5803	481	6	of	of	ADP
ejpam-5803	481	7	heisenberg	heisenberg	PROPN
ejpam-5803	481	8	ferromagnet	ferromagnet	NOUN
ejpam-5803	481	9	-	-	PUNCT
ejpam-5803	481	10	type	type	NOUN
ejpam-5803	481	11	of	of	ADP
ejpam-5803	481	12	akbota	akbota	ADJ
ejpam-5803	481	13	equation	equation	NOUN
ejpam-5803	481	14	arising	arise	VERB
ejpam-5803	481	15	in	in	ADP
ejpam-5803	481	16	surface	surface	NOUN
ejpam-5803	481	17	geometry	geometry	NOUN
ejpam-5803	481	18	by	by	ADP
ejpam-5803	481	19	explicit	explicit	ADJ
ejpam-5803	481	20	approach	approach	NOUN
ejpam-5803	481	21	.	.	PUNCT
ejpam-5803	482	1	optical	optical	ADJ
ejpam-5803	482	2	and	and	CCONJ
ejpam-5803	482	3	quantum	quantum	NOUN
ejpam-5803	482	4	electronics	electronic	NOUN
ejpam-5803	482	5	,	,	PUNCT
ejpam-5803	482	6	56(6):1046	56(6):1046	NUM
ejpam-5803	482	7	,	,	PUNCT
ejpam-5803	482	8	2024	2024	NUM
ejpam-5803	482	9	.	.	PUNCT
ejpam-5803	483	1	[	[	X
ejpam-5803	483	2	15	15	NUM
ejpam-5803	483	3	]	]	X
ejpam-5803	483	4	baboucarr	baboucarr	NOUN
ejpam-5803	483	5	ceesay	ceesay	PROPN
ejpam-5803	483	6	,	,	PUNCT
ejpam-5803	483	7	muhammad	muhammad	PROPN
ejpam-5803	483	8	z	z	PROPN
ejpam-5803	483	9	baber	baber	PROPN
ejpam-5803	483	10	,	,	PUNCT
ejpam-5803	483	11	nauman	nauman	PROPN
ejpam-5803	483	12	ahmed	ahmed	PROPN
ejpam-5803	483	13	,	,	PUNCT
ejpam-5803	483	14	muhammad	muhammad	PROPN
ejpam-5803	483	15	jawaz	jawaz	PROPN
ejpam-5803	483	16	,	,	PUNCT
ejpam-5803	483	17	jorge	jorge	NOUN
ejpam-5803	483	18	e	e	PROPN
ejpam-5803	483	19	macías	macías	NOUN
ejpam-5803	483	20	-	-	PUNCT
ejpam-5803	483	21	díaz	díaz	NOUN
ejpam-5803	483	22	,	,	PUNCT
ejpam-5803	483	23	and	and	CCONJ
ejpam-5803	483	24	armando	armando	PROPN
ejpam-5803	483	25	gallegos	gallegos	PROPN
ejpam-5803	483	26	.	.	PUNCT
ejpam-5803	483	27	harvesting	harvest	VERB
ejpam-5803	483	28	mixed	mixed	ADJ
ejpam-5803	483	29	,	,	PUNCT
ejpam-5803	483	30	homoclinic	homoclinic	ADJ
ejpam-5803	483	31	breather	breather	NOUN
ejpam-5803	483	32	,	,	PUNCT
ejpam-5803	483	33	m	m	NOUN
ejpam-5803	483	34	-	-	PUNCT
ejpam-5803	483	35	shaped	shaped	ADJ
ejpam-5803	483	36	,	,	PUNCT
ejpam-5803	483	37	and	and	CCONJ
ejpam-5803	483	38	other	other	ADJ
ejpam-5803	483	39	wave	wave	NOUN
ejpam-5803	483	40	profiles	profile	NOUN
ejpam-5803	483	41	of	of	ADP
ejpam-5803	483	42	the	the	DET
ejpam-5803	483	43	heisenberg	heisenberg	PROPN
ejpam-5803	483	44	ferromagnet	ferromagnet	NOUN
ejpam-5803	483	45	-	-	PUNCT
ejpam-5803	483	46	type	type	NOUN
ejpam-5803	483	47	akbota	akbota	ADJ
ejpam-5803	483	48	equation	equation	NOUN
ejpam-5803	483	49	.	.	PUNCT
ejpam-5803	484	1	european	european	PROPN
ejpam-5803	484	2	journal	journal	PROPN
ejpam-5803	484	3	of	of	ADP
ejpam-5803	484	4	pure	pure	ADJ
ejpam-5803	484	5	and	and	CCONJ
ejpam-5803	484	6	applied	applied	ADJ
ejpam-5803	484	7	mathematics	mathematic	NOUN
ejpam-5803	484	8	,	,	PUNCT
ejpam-5803	484	9	18(2):5851–5851	18(2):5851–5851	NUM
ejpam-5803	484	10	,	,	PUNCT
ejpam-5803	484	11	2025	2025	NUM
ejpam-5803	484	12	.	.	PUNCT
ejpam-5803	485	1	[	[	X
ejpam-5803	485	2	16	16	NUM
ejpam-5803	485	3	]	]	X
ejpam-5803	485	4	yu	yu	PROPN
ejpam-5803	485	5	shuang	shuang	PROPN
ejpam-5803	485	6	ren	ren	PROPN
ejpam-5803	485	7	,	,	PUNCT
ejpam-5803	485	8	ainur	ainur	NOUN
ejpam-5803	485	9	seilkhan	seilkhan	PROPN
ejpam-5803	485	10	,	,	PUNCT
ejpam-5803	485	11	b	b	PROPN
ejpam-5803	485	12	�	�	PROPN
ejpam-5803	485	13	�	�	PROPN
ejpam-5803	485	14	�	�	PROPN
ejpam-5803	485	15	n	n	PRON
ejpam-5803	485	16	akbota	akbota	NOUN
ejpam-5803	485	17	,	,	PUNCT
ejpam-5803	485	18	shicheng	shicheng	PROPN
ejpam-5803	485	19	zhang	zhang	PROPN
ejpam-5803	485	20	,	,	PUNCT
ejpam-5803	485	21	jiajun	jiajun	PROPN
ejpam-5803	485	22	xu	xu	PROPN
ejpam-5803	485	23	,	,	PUNCT
ejpam-5803	485	24	hizbullah	hizbullah	PROPN
ejpam-5803	485	25	khan	khan	PROPN
ejpam-5803	485	26	,	,	PUNCT
ejpam-5803	485	27	and	and	CCONJ
ejpam-5803	485	28	muhammad	muhammad	PROPN
ejpam-5803	485	29	ilyas	ilyas	PROPN
ejpam-5803	485	30	.	.	PUNCT
ejpam-5803	486	1	treatment	treatment	NOUN
ejpam-5803	486	2	of	of	ADP
ejpam-5803	486	3	dyes	dye	NOUN
ejpam-5803	486	4	contaminated	contaminate	VERB
ejpam-5803	486	5	water	water	NOUN
ejpam-5803	486	6	using	use	VERB
ejpam-5803	486	7	biochar	biochar	NOUN
ejpam-5803	486	8	derived	derive	VERB
ejpam-5803	486	9	from	from	ADP
ejpam-5803	486	10	eucalyptus	eucalyptus	NOUN
ejpam-5803	486	11	wood	wood	NOUN
ejpam-5803	486	12	waste	waste	NOUN
ejpam-5803	486	13	.	.	PUNCT
ejpam-5803	487	1	es	es	X
ejpam-5803	487	2	materials	material	NOUN
ejpam-5803	487	3	&	&	CCONJ
ejpam-5803	487	4	manufacturing	manufacturing	NOUN
ejpam-5803	487	5	,	,	PUNCT
ejpam-5803	487	6	25:1236	25:1236	NUM
ejpam-5803	487	7	,	,	PUNCT
ejpam-5803	487	8	2024	2024	NUM
ejpam-5803	487	9	.	.	PUNCT
ejpam-5803	488	1	[	[	X
ejpam-5803	488	2	17	17	NUM
ejpam-5803	488	3	]	]	PUNCT
ejpam-5803	488	4	muath	muath	NOUN
ejpam-5803	488	5	awadalla	awadalla	NOUN
ejpam-5803	488	6	,	,	PUNCT
ejpam-5803	488	7	asim	asim	PROPN
ejpam-5803	488	8	zafar	zafar	PROPN
ejpam-5803	488	9	,	,	PUNCT
ejpam-5803	488	10	aigul	aigul	PROPN
ejpam-5803	488	11	taishiyeva	taishiyeva	PROPN
ejpam-5803	488	12	,	,	PUNCT
ejpam-5803	488	13	muhammad	muhammad	PROPN
ejpam-5803	488	14	raheel	raheel	PROPN
ejpam-5803	488	15	,	,	PUNCT
ejpam-5803	488	16	ratbay	ratbay	VERB
ejpam-5803	488	17	myrzakulov	myrzakulov	NOUN
ejpam-5803	488	18	,	,	PUNCT
ejpam-5803	488	19	and	and	CCONJ
ejpam-5803	488	20	ahmet	ahmet	PROPN
ejpam-5803	488	21	bekir	bekir	PROPN
ejpam-5803	488	22	.	.	PUNCT
ejpam-5803	489	1	the	the	DET
ejpam-5803	489	2	analytical	analytical	ADJ
ejpam-5803	489	3	solutions	solution	NOUN
ejpam-5803	489	4	to	to	ADP
ejpam-5803	489	5	the	the	DET
ejpam-5803	489	6	m	m	ADJ
ejpam-5803	489	7	-	-	PUNCT
ejpam-5803	489	8	fractional	fractional	ADJ
ejpam-5803	489	9	kairat	kairat	NOUN
ejpam-5803	489	10	-	-	PUNCT
ejpam-5803	489	11	ii	ii	PROPN
ejpam-5803	489	12	and	and	CCONJ
ejpam-5803	489	13	kairat	kairat	PROPN
ejpam-5803	489	14	-	-	PUNCT
ejpam-5803	489	15	x	x	NOUN
ejpam-5803	489	16	equations	equation	NOUN
ejpam-5803	489	17	.	.	PUNCT
ejpam-5803	490	1	frontiers	frontier	NOUN
ejpam-5803	490	2	in	in	ADP
ejpam-5803	490	3	physics	physics	PROPN
ejpam-5803	490	4	,	,	PUNCT
ejpam-5803	490	5	11:1335423	11:1335423	NUM
ejpam-5803	490	6	,	,	PUNCT
ejpam-5803	490	7	2023	2023	NUM
ejpam-5803	490	8	.	.	PUNCT
ejpam-5803	491	1	[	[	X
ejpam-5803	491	2	18	18	NUM
ejpam-5803	491	3	]	]	X
ejpam-5803	491	4	mostafa	mostafa	PROPN
ejpam-5803	491	5	m.	m.	PROPN
ejpam-5803	491	6	a.	a.	PROPN
ejpam-5803	491	7	khater	khater	PROPN
ejpam-5803	491	8	.	.	PUNCT
ejpam-5803	492	1	nonlinearity	nonlinearity	NOUN
ejpam-5803	492	2	,	,	PUNCT
ejpam-5803	492	3	dispersion	dispersion	NOUN
ejpam-5803	492	4	,	,	PUNCT
ejpam-5803	492	5	and	and	CCONJ
ejpam-5803	492	6	dissipation	dissipation	NOUN
ejpam-5803	492	7	in	in	ADP
ejpam-5803	492	8	water	water	NOUN
ejpam-5803	492	9	wave	wave	NOUN
ejpam-5803	492	10	dynamics	dynamic	NOUN
ejpam-5803	492	11	:	:	PUNCT
ejpam-5803	492	12	the	the	DET
ejpam-5803	492	13	b	b	PROPN
ejpam-5803	492	14	l	l	NOUN
ejpam-5803	492	15	equation	equation	NOUN
ejpam-5803	492	16	unraveled	unravel	VERB
ejpam-5803	492	17	.	.	PUNCT
ejpam-5803	493	1	international	international	ADJ
ejpam-5803	493	2	journal	journal	NOUN
ejpam-5803	493	3	of	of	ADP
ejpam-5803	493	4	theoretical	theoretical	ADJ
ejpam-5803	493	5	physics	physics	NOUN
ejpam-5803	493	6	,	,	PUNCT
ejpam-5803	493	7	63(5):106	63(5):106	PROPN
ejpam-5803	493	8	,	,	PUNCT
ejpam-5803	493	9	april	april	PROPN
ejpam-5803	493	10	2024	2024	NUM
ejpam-5803	493	11	.	.	PUNCT
ejpam-5803	494	1	[	[	X
ejpam-5803	494	2	19	19	NUM
ejpam-5803	494	3	]	]	X
ejpam-5803	494	4	mostafa	mostafa	PROPN
ejpam-5803	494	5	m.	m.	PROPN
ejpam-5803	494	6	a.	a.	PROPN
ejpam-5803	494	7	khater	khater	PROPN
ejpam-5803	494	8	.	.	PUNCT
ejpam-5803	495	1	dynamics	dynamic	NOUN
ejpam-5803	495	2	of	of	ADP
ejpam-5803	495	3	nonlinear	nonlinear	ADJ
ejpam-5803	495	4	time	time	NOUN
ejpam-5803	495	5	fractional	fractional	ADJ
ejpam-5803	495	6	equations	equation	NOUN
ejpam-5803	495	7	in	in	ADP
ejpam-5803	495	8	shallow	shallow	ADJ
ejpam-5803	495	9	water	water	NOUN
ejpam-5803	495	10	waves	wave	NOUN
ejpam-5803	495	11	.	.	PUNCT
ejpam-5803	496	1	international	international	ADJ
ejpam-5803	496	2	journal	journal	PROPN
ejpam-5803	496	3	of	of	ADP
ejpam-5803	496	4	theoretical	theoretical	ADJ
ejpam-5803	496	5	physics	physics	NOUN
ejpam-5803	496	6	,	,	PUNCT
ejpam-5803	496	7	63(4):92	63(4):92	NUM
ejpam-5803	496	8	,	,	PUNCT
ejpam-5803	496	9	april	april	PROPN
ejpam-5803	496	10	2024	2024	NUM
ejpam-5803	496	11	.	.	PUNCT
ejpam-5803	497	1	[	[	X
ejpam-5803	497	2	20	20	NUM
ejpam-5803	497	3	]	]	PUNCT
ejpam-5803	497	4	mostafa	mostafa	PROPN
ejpam-5803	497	5	ma	ma	PROPN
ejpam-5803	497	6	khater	khater	PROPN
ejpam-5803	497	7	.	.	PUNCT
ejpam-5803	498	1	dynamics	dynamic	NOUN
ejpam-5803	498	2	of	of	ADP
ejpam-5803	498	3	propagation	propagation	NOUN
ejpam-5803	498	4	patterns	pattern	NOUN
ejpam-5803	498	5	:	:	PUNCT
ejpam-5803	498	6	an	an	DET
ejpam-5803	498	7	analytical	analytical	ADJ
ejpam-5803	498	8	investigation	investigation	NOUN
ejpam-5803	498	9	into	into	ADP
ejpam-5803	498	10	fractional	fractional	ADJ
ejpam-5803	498	11	systems	system	NOUN
ejpam-5803	498	12	.	.	PUNCT
ejpam-5803	499	1	modern	modern	ADJ
ejpam-5803	499	2	physics	physics	PROPN
ejpam-5803	499	3	letters	letters	PROPN
ejpam-5803	499	4	b	b	NOUN
ejpam-5803	499	5	,	,	PUNCT
ejpam-5803	499	6	page	page	NOUN
ejpam-5803	499	7	2450397	2450397	NUM
ejpam-5803	499	8	,	,	PUNCT
ejpam-5803	499	9	2024	2024	NUM
ejpam-5803	499	10	.	.	PUNCT
ejpam-5803	500	1	m.	m.	NOUN
ejpam-5803	500	2	m.	m.	NOUN
ejpam-5803	500	3	a.	a.	NOUN
ejpam-5803	500	4	khater	khater	PROPN
ejpam-5803	500	5	/	/	SYM
ejpam-5803	500	6	eur	eur	PROPN
ejpam-5803	500	7	.	.	PUNCT
ejpam-5803	501	1	j.	j.	PROPN
ejpam-5803	501	2	pure	pure	PROPN
ejpam-5803	501	3	appl	appl	PROPN
ejpam-5803	501	4	.	.	PROPN
ejpam-5803	501	5	math	math	PROPN
ejpam-5803	501	6	,	,	PUNCT
ejpam-5803	501	7	18	18	NUM
ejpam-5803	501	8	(	(	PUNCT
ejpam-5803	501	9	4	4	NUM
ejpam-5803	501	10	)	)	PUNCT
ejpam-5803	501	11	(	(	PUNCT
ejpam-5803	501	12	2025	2025	NUM
ejpam-5803	501	13	)	)	PUNCT
ejpam-5803	501	14	,	,	PUNCT
ejpam-5803	501	15	5803	5803	NUM
ejpam-5803	501	16	29	29	NUM
ejpam-5803	501	17	of	of	ADP
ejpam-5803	501	18	31	31	NUM
ejpam-5803	501	19	[	[	X
ejpam-5803	501	20	21	21	NUM
ejpam-5803	501	21	]	]	PUNCT
ejpam-5803	501	22	abdon	abdon	NOUN
ejpam-5803	501	23	atangana	atangana	PROPN
ejpam-5803	501	24	and	and	CCONJ
ejpam-5803	501	25	rubayyi	rubayyi	PROPN
ejpam-5803	501	26	t	t	PROPN
ejpam-5803	501	27	alqahtani	alqahtani	PROPN
ejpam-5803	501	28	.	.	PUNCT
ejpam-5803	502	1	modelling	model	VERB
ejpam-5803	502	2	the	the	DET
ejpam-5803	502	3	spread	spread	NOUN
ejpam-5803	502	4	of	of	ADP
ejpam-5803	502	5	river	river	NOUN
ejpam-5803	502	6	blindness	blindness	NOUN
ejpam-5803	502	7	disease	disease	NOUN
ejpam-5803	502	8	via	via	ADP
ejpam-5803	502	9	the	the	DET
ejpam-5803	502	10	caputo	caputo	PROPN
ejpam-5803	502	11	fractional	fractional	PROPN
ejpam-5803	502	12	derivative	derivative	PROPN
ejpam-5803	502	13	and	and	CCONJ
ejpam-5803	502	14	the	the	DET
ejpam-5803	502	15	beta	beta	NOUN
ejpam-5803	502	16	-	-	PUNCT
ejpam-5803	502	17	derivative	derivative	NOUN
ejpam-5803	502	18	.	.	PUNCT
ejpam-5803	503	1	entropy	entropy	PROPN
ejpam-5803	503	2	,	,	PUNCT
ejpam-5803	503	3	18(2):40	18(2):40	PROPN
ejpam-5803	503	4	,	,	PUNCT
ejpam-5803	503	5	2016	2016	NUM
ejpam-5803	503	6	.	.	PUNCT
ejpam-5803	504	1	[	[	X
ejpam-5803	504	2	22	22	NUM
ejpam-5803	504	3	]	]	PUNCT
ejpam-5803	504	4	abdon	abdon	NOUN
ejpam-5803	504	5	atangana	atangana	PROPN
ejpam-5803	504	6	and	and	CCONJ
ejpam-5803	504	7	badr	badr	PROPN
ejpam-5803	504	8	saad	saad	PROPN
ejpam-5803	504	9	t	t	PROPN
ejpam-5803	504	10	alkahtani	alkahtani	PROPN
ejpam-5803	504	11	.	.	PUNCT
ejpam-5803	505	1	modeling	model	VERB
ejpam-5803	505	2	the	the	DET
ejpam-5803	505	3	spread	spread	NOUN
ejpam-5803	505	4	of	of	ADP
ejpam-5803	505	5	r	r	NOUN
ejpam-5803	505	6	ubella	ubella	NOUN
ejpam-5803	505	7	disease	disease	NOUN
ejpam-5803	505	8	using	use	VERB
ejpam-5803	505	9	the	the	DET
ejpam-5803	505	10	concept	concept	NOUN
ejpam-5803	505	11	of	of	ADP
ejpam-5803	505	12	with	with	ADP
ejpam-5803	505	13	local	local	ADJ
ejpam-5803	505	14	derivative	derivative	NOUN
ejpam-5803	505	15	with	with	ADP
ejpam-5803	505	16	fractional	fractional	ADJ
ejpam-5803	505	17	parameter	parameter	NOUN
ejpam-5803	505	18	:	:	PUNCT
ejpam-5803	505	19	beta	beta	NOUN
ejpam-5803	505	20	-	-	PUNCT
ejpam-5803	505	21	derivative	derivative	NOUN
ejpam-5803	505	22	.	.	PUNCT
ejpam-5803	506	1	complexity	complexity	NOUN
ejpam-5803	506	2	,	,	PUNCT
ejpam-5803	506	3	21(6):442–451	21(6):442–451	PROPN
ejpam-5803	506	4	,	,	PUNCT
ejpam-5803	506	5	2016	2016	NUM
ejpam-5803	506	6	.	.	PUNCT
ejpam-5803	507	1	[	[	X
ejpam-5803	507	2	23	23	NUM
ejpam-5803	507	3	]	]	X
ejpam-5803	507	4	yusuf	yusuf	PROPN
ejpam-5803	507	5	gurefe	gurefe	NOUN
ejpam-5803	507	6	.	.	PUNCT
ejpam-5803	508	1	the	the	DET
ejpam-5803	508	2	generalized	generalize	VERB
ejpam-5803	508	3	kudryashov	kudryashov	PROPN
ejpam-5803	508	4	method	method	NOUN
ejpam-5803	508	5	for	for	ADP
ejpam-5803	508	6	the	the	DET
ejpam-5803	508	7	nonlinear	nonlinear	ADJ
ejpam-5803	508	8	fractional	fractional	ADJ
ejpam-5803	508	9	partial	partial	ADJ
ejpam-5803	508	10	differential	differential	NOUN
ejpam-5803	508	11	equations	equation	NOUN
ejpam-5803	508	12	with	with	ADP
ejpam-5803	508	13	the	the	DET
ejpam-5803	508	14	beta	beta	NOUN
ejpam-5803	508	15	-	-	PUNCT
ejpam-5803	508	16	derivative	derivative	NOUN
ejpam-5803	508	17	.	.	PUNCT
ejpam-5803	509	1	revista	revista	PROPN
ejpam-5803	509	2	mexicana	mexicana	PROPN
ejpam-5803	509	3	de	de	PROPN
ejpam-5803	509	4	física	física	PROPN
ejpam-5803	509	5	,	,	PUNCT
ejpam-5803	509	6	66(6):771	66(6):771	NUM
ejpam-5803	509	7	–	–	PUNCT
ejpam-5803	509	8	781	781	NUM
ejpam-5803	509	9	,	,	PUNCT
ejpam-5803	509	10	2020	2020	NUM
ejpam-5803	509	11	.	.	PUNCT
ejpam-5803	510	1	m.	m.	NOUN
ejpam-5803	510	2	m.	m.	NOUN
ejpam-5803	510	3	a.	a.	NOUN
ejpam-5803	510	4	khater	khater	PROPN
ejpam-5803	510	5	/	/	SYM
ejpam-5803	510	6	eur	eur	PROPN
ejpam-5803	510	7	.	.	PUNCT
ejpam-5803	511	1	j.	j.	PROPN
ejpam-5803	511	2	pure	pure	PROPN
ejpam-5803	511	3	appl	appl	PROPN
ejpam-5803	511	4	.	.	PROPN
ejpam-5803	511	5	math	math	PROPN
ejpam-5803	511	6	,	,	PUNCT
ejpam-5803	511	7	18	18	NUM
ejpam-5803	511	8	(	(	PUNCT
ejpam-5803	511	9	4	4	NUM
ejpam-5803	511	10	)	)	PUNCT
ejpam-5803	511	11	(	(	PUNCT
ejpam-5803	511	12	2025	2025	NUM
ejpam-5803	511	13	)	)	PUNCT
ejpam-5803	511	14	,	,	PUNCT
ejpam-5803	511	15	5803	5803	NUM
ejpam-5803	511	16	30	30	NUM
ejpam-5803	511	17	of	of	ADP
ejpam-5803	511	18	31	31	NUM
ejpam-5803	511	19	ta	ta	PART
ejpam-5803	511	20	bl	bl	PROPN
ejpam-5803	511	21	e	e	PROPN
ejpam-5803	511	22	1	1	NUM
ejpam-5803	511	23	:	:	PUNCT
ejpam-5803	511	24	co	co	VERB
ejpam-5803	511	25	m	m	VERB
ejpam-5803	511	26	pa	pa	PROPN
ejpam-5803	511	27	ris	ris	X
ejpam-5803	511	28	on	on	ADP
ejpam-5803	511	29	of	of	ADP
ejpam-5803	511	30	a	a	DET
ejpam-5803	511	31	na	na	NOUN
ejpam-5803	511	32	ly	ly	X
ejpam-5803	511	33	tic	tic	PROPN
ejpam-5803	512	1	al	al	PROPN
ejpam-5803	513	1	an	an	PROPN
ejpam-5803	514	1	d	d	PROPN
ejpam-5803	515	1	a	a	PRON
ejpam-5803	516	1	pp	pp	INTJ
ejpam-5803	517	1	ro	ro	INTJ
ejpam-5803	517	2	xi	xi	INTJ
ejpam-5803	517	3	m	m	PROPN
ejpam-5803	517	4	at	at	ADP
ejpam-5803	517	5	e	e	PROPN
ejpam-5803	517	6	so	so	ADV
ejpam-5803	517	7	lu	lu	NOUN
ejpam-5803	517	8	tio	tio	NOUN
ejpam-5803	517	9	ns	ns	INTJ
ejpam-5803	518	1	fo	fo	ADP
ejpam-5803	518	2	r	r	NOUN
ejpam-5803	518	3	eq	eq	NOUN
ejpam-5803	518	4	.	.	PUNCT
ejpam-5803	519	1	(	(	PUNCT
ejpam-5803	519	2	1	1	NUM
ejpam-5803	519	3	7	7	NUM
ejpam-5803	519	4	)	)	PUNCT
ejpam-5803	519	5	u	u	NOUN
ejpam-5803	519	6	sin	sin	NOUN
ejpam-5803	519	7	g	g	NOUN
ejpam-5803	519	8	th	th	X
ejpam-5803	519	9	e	e	X
ejpam-5803	519	10	ad	ad	NOUN
ejpam-5803	519	11	om	om	PROPN
ejpam-5803	519	12	ia	ia	PROPN
ejpam-5803	520	1	n	n	PROPN
ejpam-5803	520	2	d	d	NOUN
ejpam-5803	520	3	ec	ec	PROPN
ejpam-5803	520	4	om	om	PROPN
ejpam-5803	520	5	po	po	PROPN
ejpam-5803	520	6	sit	sit	VERB
ejpam-5803	520	7	io	io	PROPN
ejpam-5803	520	8	n	n	PRON
ejpam-5803	520	9	sc	sc	INTJ
ejpam-5803	521	1	he	he	PRON
ejpam-5803	521	2	m	m	VERB
ejpam-5803	521	3	e.	e.	PROPN
ejpam-5803	521	4	th	th	PROPN
ejpam-5803	521	5	is	be	AUX
ejpam-5803	521	6	ta	ta	AUX
ejpam-5803	521	7	bl	bl	PROPN
ejpam-5803	521	8	e	e	NOUN
ejpam-5803	521	9	pr	pr	NOUN
ejpam-5803	521	10	es	es	VERB
ejpam-5803	521	11	en	en	X
ejpam-5803	521	12	ts	ts	X
ejpam-5803	521	13	th	th	X
ejpam-5803	521	14	e	e	X
ejpam-5803	521	15	ab	ab	PROPN
ejpam-5803	522	1	so	so	ADV
ejpam-5803	522	2	lu	lu	PROPN
ejpam-5803	522	3	te	te	PROPN
ejpam-5803	522	4	er	er	INTJ
ejpam-5803	522	5	ro	ro	NOUN
ejpam-5803	522	6	rv	rv	PROPN
ejpam-5803	522	7	al	al	PROPN
ejpam-5803	522	8	ue	ue	PROPN
ejpam-5803	522	9	sb	sb	PROPN
ejpam-5803	522	10	et	et	PROPN
ejpam-5803	522	11	we	we	PRON
ejpam-5803	522	12	en	en	VERB
ejpam-5803	522	13	th	th	X
ejpam-5803	522	14	e	e	X
ejpam-5803	522	15	an	an	PROPN
ejpam-5803	522	16	al	al	PROPN
ejpam-5803	522	17	yt	yt	PROPN
ejpam-5803	522	18	ica	ica	PROPN
ejpam-5803	522	19	ls	ls	PROPN
ejpam-5803	522	20	ol	ol	PROPN
ejpam-5803	522	21	ut	ut	PROPN
ejpam-5803	522	22	io	io	PROPN
ejpam-5803	522	23	ns	ns	INTJ
ejpam-5803	522	24	an	an	PROPN
ejpam-5803	522	25	d	d	X
ejpam-5803	522	26	th	th	X
ejpam-5803	522	27	e	e	X
ejpam-5803	522	28	ap	ap	PROPN
ejpam-5803	522	29	pr	pr	PROPN
ejpam-5803	523	1	ox	ox	NOUN
ejpam-5803	524	1	i	i	PRON
ejpam-5803	524	2	m	m	VERB
ejpam-5803	524	3	at	at	ADP
ejpam-5803	524	4	e	e	X
ejpam-5803	524	5	so	so	ADV
ejpam-5803	524	6	lu	lu	NOUN
ejpam-5803	524	7	tio	tio	NOUN
ejpam-5803	524	8	ns	ns	INTJ
ejpam-5803	524	9	ob	ob	X
ejpam-5803	524	10	ta	ta	PROPN
ejpam-5803	524	11	in	in	ADP
ejpam-5803	524	12	ed	ed	PROPN
ejpam-5803	524	13	th	th	PROPN
ejpam-5803	524	14	ro	ro	X
ejpam-5803	524	15	ug	ug	ADP
ejpam-5803	524	16	h	h	PROPN
ejpam-5803	524	17	th	th	X
ejpam-5803	524	18	e	e	X
ejpam-5803	524	19	ad	ad	NOUN
ejpam-5803	524	20	ec	ec	PROPN
ejpam-5803	524	21	m	m	VERB
ejpam-5803	524	22	m	m	VERB
ejpam-5803	524	23	et	et	PROPN
ejpam-5803	524	24	ho	ho	PROPN
ejpam-5803	524	25	d.	d.	PROPN
ejpam-5803	524	26	th	th	PROPN
ejpam-5803	524	27	e	e	X
ejpam-5803	524	28	da	da	VERB
ejpam-5803	524	29	ta	ta	AUX
ejpam-5803	524	30	ill	ill	VERB
ejpam-5803	524	31	us	us	PROPN
ejpam-5803	524	32	tra	tra	PROPN
ejpam-5803	524	33	te	te	PROPN
ejpam-5803	524	34	st	st	PROPN
ejpam-5803	525	1	he	he	PRON
ejpam-5803	525	2	eff	eff	PROPN
ejpam-5803	525	3	ec	ec	PROPN
ejpam-5803	525	4	tiv	tiv	PROPN
ejpam-5803	525	5	en	en	PROPN
ejpam-5803	525	6	es	es	PROPN
ejpam-5803	525	7	so	so	ADV
ejpam-5803	525	8	ft	ft	ADP
ejpam-5803	526	1	he	he	PRON
ejpam-5803	526	2	m	m	VERB
ejpam-5803	526	3	et	et	NOUN
ejpam-5803	526	4	ho	ho	PROPN
ejpam-5803	526	5	d	d	PROPN
ejpam-5803	526	6	in	in	ADP
ejpam-5803	526	7	ac	ac	PROPN
ejpam-5803	527	1	cu	cu	PROPN
ejpam-5803	527	2	ra	ra	PROPN
ejpam-5803	528	1	te	te	INTJ
ejpam-5803	528	2	ly	ly	X
ejpam-5803	528	3	so	so	ADV
ejpam-5803	528	4	lvi	lvi	PROPN
ejpam-5803	528	5	ng	ng	PROPN
ejpam-5803	528	6	th	th	PROPN
ejpam-5803	528	7	e	e	PROPN
ejpam-5803	528	8	eq	eq	PROPN
ejpam-5803	528	9	ua	ua	PROPN
ejpam-5803	528	10	tio	tio	PROPN
ejpam-5803	528	11	n	n	CCONJ
ejpam-5803	528	12	,	,	PUNCT
ejpam-5803	528	13	hi	hi	INTJ
ejpam-5803	528	14	gh	gh	PROPN
ejpam-5803	528	15	lig	lig	PROPN
ejpam-5803	528	16	ht	ht	PROPN
ejpam-5803	528	17	in	in	ADP
ejpam-5803	528	18	g	g	PROPN
ejpam-5803	528	19	th	th	ADP
ejpam-5803	528	20	e	e	NOUN
ejpam-5803	528	21	pr	pr	NOUN
ejpam-5803	528	22	ec	ec	PROPN
ejpam-5803	528	23	isi	isi	PROPN
ejpam-5803	528	24	on	on	ADP
ejpam-5803	528	25	of	of	ADP
ejpam-5803	528	26	th	th	X
ejpam-5803	528	27	e	e	X
ejpam-5803	528	28	nu	nu	X
ejpam-5803	528	29	m	m	PROPN
ejpam-5803	528	30	er	er	INTJ
ejpam-5803	528	31	ica	ica	PROPN
ejpam-5803	528	32	la	la	PROPN
ejpam-5803	529	1	pp	pp	PROPN
ejpam-5803	529	2	ro	ro	PROPN
ejpam-5803	529	3	xim	xim	PROPN
ejpam-5803	529	4	at	at	ADP
ejpam-5803	529	5	io	io	PROPN
ejpam-5803	529	6	ns	ns	NUM
ejpam-5803	529	7	in	in	ADP
ejpam-5803	529	8	ca	can	AUX
ejpam-5803	529	9	pt	pt	INTJ
ejpam-5803	529	10	ur	ur	INTJ
ejpam-5803	529	11	in	in	ADP
ejpam-5803	529	12	g	g	PROPN
ejpam-5803	529	13	th	th	X
ejpam-5803	529	14	e	e	X
ejpam-5803	529	15	un	un	PROPN
ejpam-5803	529	16	de	de	X
ejpam-5803	529	17	rly	rly	PROPN
ejpam-5803	529	18	in	in	ADP
ejpam-5803	529	19	g	g	PROPN
ejpam-5803	529	20	ph	ph	PROPN
ejpam-5803	530	1	ys	ys	PROPN
ejpam-5803	530	2	ica	ica	PROPN
ejpam-5803	531	1	lp	lp	INTJ
ejpam-5803	531	2	he	he	PRON
ejpam-5803	532	1	no	no	INTJ
ejpam-5803	532	2	m	m	VERB
ejpam-5803	532	3	en	en	ADP
ejpam-5803	532	4	a	a	DET
ejpam-5803	532	5	de	de	X
ejpam-5803	532	6	sc	sc	PROPN
ejpam-5803	532	7	rib	rib	NOUN
ejpam-5803	532	8	ed	ed	NOUN
ejpam-5803	532	9	by	by	ADP
ejpam-5803	532	10	th	th	ADP
ejpam-5803	532	11	e	e	NOUN
ejpam-5803	532	12	m	m	PROPN
ejpam-5803	532	13	od	od	PROPN
ejpam-5803	532	14	el	el	PROPN
ejpam-5803	532	15	.	.	PUNCT
ejpam-5803	533	1	th	th	X
ejpam-5803	533	2	e	e	X
ejpam-5803	533	3	sm	sm	PROPN
ejpam-5803	533	4	al	al	PROPN
ejpam-5803	533	5	le	le	PROPN
ejpam-5803	533	6	rro	rro	PROPN
ejpam-5803	533	7	rv	rv	PROPN
ejpam-5803	533	8	al	al	PROPN
ejpam-5803	533	9	ue	ue	PROPN
ejpam-5803	533	10	si	si	PROPN
ejpam-5803	533	11	nd	nd	ADV
ejpam-5803	533	12	ica	ica	PROPN
ejpam-5803	534	1	te	te	PROPN
ejpam-5803	534	2	a	a	DET
ejpam-5803	534	3	hi	hi	INTJ
ejpam-5803	534	4	gh	gh	PROPN
ejpam-5803	534	5	de	de	PROPN
ejpam-5803	534	6	gr	gr	PROPN
ejpam-5803	534	7	ee	ee	PROPN
ejpam-5803	534	8	of	of	ADP
ejpam-5803	534	9	re	re	PROPN
ejpam-5803	534	10	lia	lia	PROPN
ejpam-5803	534	11	bi	bi	PROPN
ejpam-5803	534	12	lit	light	VERB
ejpam-5803	534	13	y	y	PROPN
ejpam-5803	534	14	in	in	ADP
ejpam-5803	534	15	th	th	X
ejpam-5803	534	16	e	e	X
ejpam-5803	534	17	nu	nu	X
ejpam-5803	534	18	m	m	PROPN
ejpam-5803	534	19	er	er	INTJ
ejpam-5803	534	20	ica	ica	PROPN
ejpam-5803	534	21	ls	ls	PROPN
ejpam-5803	534	22	ol	ol	PROPN
ejpam-5803	534	23	ut	ut	PROPN
ejpam-5803	534	24	io	io	PROPN
ejpam-5803	534	25	ns	ns	INTJ
ejpam-5803	534	26	,	,	PUNCT
ejpam-5803	534	27	w	w	PROPN
ejpam-5803	534	28	hi	hi	INTJ
ejpam-5803	535	1	ch	ch	NOUN
ejpam-5803	535	2	is	be	AUX
ejpam-5803	535	3	cr	cr	PROPN
ejpam-5803	535	4	uc	uc	PROPN
ejpam-5803	535	5	ia	ia	PROPN
ejpam-5803	535	6	lf	lf	ADV
ejpam-5803	535	7	or	or	CCONJ
ejpam-5803	535	8	ap	ap	PROPN
ejpam-5803	535	9	pl	pl	PROPN
ejpam-5803	535	10	ica	ica	PROPN
ejpam-5803	535	11	tio	tio	PROPN
ejpam-5803	535	12	ns	ns	INTJ
ejpam-5803	535	13	in	in	ADP
ejpam-5803	535	14	fie	fie	PROPN
ejpam-5803	535	15	ld	ld	PROPN
ejpam-5803	535	16	s	s	PROPN
ejpam-5803	535	17	su	su	PROPN
ejpam-5803	535	18	ch	ch	PROPN
ejpam-5803	535	19	as	as	SCONJ
ejpam-5803	535	20	flu	flu	PROPN
ejpam-5803	535	21	i	i	PROPN
ejpam-5803	535	22	d	d	PROPN
ejpam-5803	535	23	dy	dy	VERB
ejpam-5803	535	24	na	na	ADP
ejpam-5803	535	25	m	m	PROPN
ejpam-5803	535	26	ics	ics	NOUN
ejpam-5803	535	27	an	an	DET
ejpam-5803	535	28	d	d	X
ejpam-5803	535	29	wa	wa	X
ejpam-5803	535	30	ve	ve	AUX
ejpam-5803	535	31	pr	pr	VERB
ejpam-5803	535	32	op	op	NOUN
ejpam-5803	535	33	ag	ag	PROPN
ejpam-5803	535	34	at	at	ADP
ejpam-5803	535	35	io	io	PROPN
ejpam-5803	535	36	n.	n.	PROPN
ejpam-5803	535	37	v	v	PROPN
ejpam-5803	535	38	al	al	PROPN
ejpam-5803	535	39	u	u	PROPN
ejpam-5803	535	40	e	e	PROPN
ejpam-5803	535	41	of	of	ADP
ejpam-5803	535	42	ξ	ξ	PROPN
ejpam-5803	535	43	c	c	NOUN
ejpam-5803	535	44	om	om	PROPN
ejpam-5803	535	45	p	p	PROPN
ejpam-5803	535	46	.	.	PUNCT
ejpam-5803	536	1	s	s	VERB
ejpam-5803	536	2	ol	ol	ADJ
ejpam-5803	536	3	.	.	PUNCT
ejpam-5803	537	1	a	a	DET
ejpam-5803	537	2	p	p	X
ejpam-5803	537	3	p	p	X
ejpam-5803	537	4	ro	ro	X
ejpam-5803	537	5	x	x	INTJ
ejpam-5803	537	6	.	.	PUNCT
ejpam-5803	537	7	s	s	VERB
ejpam-5803	537	8	ol	ol	ADJ
ejpam-5803	537	9	.	.	PUNCT
ejpam-5803	538	1	|e	|e	PROPN
ejpam-5803	538	2	rr	rr	INTJ
ejpam-5803	539	1	or	or	CCONJ
ejpam-5803	539	2	|	|	ADV
ejpam-5803	539	3	v	v	NOUN
ejpam-5803	539	4	al	al	PROPN
ejpam-5803	539	5	u	u	PROPN
ejpam-5803	539	6	e	e	PROPN
ejpam-5803	539	7	of	of	ADP
ejpam-5803	539	8	ξ	ξ	PROPN
ejpam-5803	539	9	c	c	NOUN
ejpam-5803	539	10	om	om	PROPN
ejpam-5803	539	11	p	p	PROPN
ejpam-5803	539	12	.	.	PUNCT
ejpam-5803	540	1	s	s	VERB
ejpam-5803	540	2	ol	ol	ADJ
ejpam-5803	540	3	.	.	PUNCT
ejpam-5803	541	1	a	a	DET
ejpam-5803	541	2	p	p	X
ejpam-5803	541	3	p	p	X
ejpam-5803	541	4	ro	ro	X
ejpam-5803	541	5	x	x	INTJ
ejpam-5803	541	6	.	.	PUNCT
ejpam-5803	541	7	s	s	VERB
ejpam-5803	541	8	ol	ol	ADJ
ejpam-5803	541	9	.	.	PUNCT
ejpam-5803	542	1	|e	|e	PROPN
ejpam-5803	542	2	rr	rr	INTJ
ejpam-5803	543	1	or	or	CCONJ
ejpam-5803	543	2	|	|	ADV
ejpam-5803	543	3	0	0	NUM
ejpam-5803	543	4	0	0	NUM
ejpam-5803	543	5	0	0	NUM
ejpam-5803	543	6	0	0	NUM
ejpam-5803	543	7	0	0	NUM
ejpam-5803	543	8	.	.	NOUN
ejpam-5803	543	9	03	03	NUM
ejpam-5803	543	10	3	3	NUM
ejpam-5803	543	11	-0	-0	SYM
ejpam-5803	543	12	.0	.0	NUM
ejpam-5803	543	13	32	32	NUM
ejpam-5803	543	14	98	98	NUM
ejpam-5803	543	15	80	80	NUM
ejpam-5803	543	16	26	26	NUM
ejpam-5803	543	17	21	21	NUM
ejpam-5803	543	18	57	57	NUM
ejpam-5803	543	19	53	53	NUM
ejpam-5803	543	20	4	4	NUM
ejpam-5803	543	21	-0	-0	SYM
ejpam-5803	543	22	.0	.0	NUM
ejpam-5803	543	23	32	32	NUM
ejpam-5803	543	24	98	98	NUM
ejpam-5803	543	25	80	80	NUM
ejpam-5803	543	26	26	26	NUM
ejpam-5803	543	27	21	21	NUM
ejpam-5803	543	28	58	58	NUM
ejpam-5803	543	29	03	03	NUM
ejpam-5803	543	30	4	4	NUM
ejpam-5803	543	31	5	5	NUM
ejpam-5803	543	32	.	.	PUNCT
ejpam-5803	543	33	00	00	NUM
ejpam-5803	544	1	29	29	NUM
ejpam-5803	544	2	4e	4e	NOUN
ejpam-5803	544	3	-1	-1	ADP
ejpam-5803	544	4	4	4	NUM
ejpam-5803	544	5	0	0	NUM
ejpam-5803	544	6	.	.	PUNCT
ejpam-5803	544	7	00	00	NUM
ejpam-5803	545	1	1	1	NUM
ejpam-5803	545	2	-0	-0	SYM
ejpam-5803	545	3	.0	.0	NUM
ejpam-5803	545	4	00	00	NUM
ejpam-5803	545	5	99	99	NUM
ejpam-5803	546	1	99	99	NUM
ejpam-5803	546	2	99	99	NUM
ejpam-5803	546	3	66	66	NUM
ejpam-5803	546	4	66	66	NUM
ejpam-5803	546	5	66	66	NUM
ejpam-5803	546	6	8	8	NUM
ejpam-5803	546	7	-0	-0	SYM
ejpam-5803	546	8	.0	.0	NUM
ejpam-5803	546	9	00	00	NUM
ejpam-5803	546	10	99	99	NUM
ejpam-5803	546	11	99	99	NUM
ejpam-5803	546	12	99	99	NUM
ejpam-5803	546	13	66	66	NUM
ejpam-5803	546	14	66	66	NUM
ejpam-5803	546	15	66	66	NUM
ejpam-5803	546	16	8	8	NUM
ejpam-5803	546	17	0	0	NUM
ejpam-5803	546	18	0	0	NUM
ejpam-5803	546	19	.	.	NOUN
ejpam-5803	546	20	03	03	NUM
ejpam-5803	546	21	4	4	NUM
ejpam-5803	546	22	-0	-0	SYM
ejpam-5803	546	23	.0	.0	NUM
ejpam-5803	546	24	33	33	NUM
ejpam-5803	546	25	98	98	NUM
ejpam-5803	546	26	69	69	NUM
ejpam-5803	546	27	04	04	NUM
ejpam-5803	546	28	72	72	NUM
ejpam-5803	546	29	18	18	NUM
ejpam-5803	546	30	89	89	NUM
ejpam-5803	546	31	9	9	NUM
ejpam-5803	546	32	-0	-0	SYM
ejpam-5803	546	33	.0	.0	NUM
ejpam-5803	547	1	33	33	NUM
ejpam-5803	547	2	98	98	NUM
ejpam-5803	547	3	69	69	NUM
ejpam-5803	547	4	04	04	NUM
ejpam-5803	547	5	72	72	NUM
ejpam-5803	547	6	19	19	NUM
ejpam-5803	547	7	53	53	NUM
ejpam-5803	547	8	4	4	NUM
ejpam-5803	547	9	6	6	NUM
ejpam-5803	547	10	.	.	NUM
ejpam-5803	547	11	35	35	NUM
ejpam-5803	547	12	11	11	NUM
ejpam-5803	547	13	7e	7e	NUM
ejpam-5803	547	14	-1	-1	ADP
ejpam-5803	547	15	4	4	NUM
ejpam-5803	547	16	0	0	NUM
ejpam-5803	547	17	.	.	PUNCT
ejpam-5803	547	18	00	00	NUM
ejpam-5803	548	1	2	2	NUM
ejpam-5803	548	2	-0	-0	SYM
ejpam-5803	548	3	.0	.0	NUM
ejpam-5803	548	4	01	01	NUM
ejpam-5803	548	5	99	99	NUM
ejpam-5803	549	1	99	99	NUM
ejpam-5803	549	2	97	97	NUM
ejpam-5803	549	3	33	33	NUM
ejpam-5803	549	4	33	33	NUM
ejpam-5803	549	5	37	37	NUM
ejpam-5803	549	6	6	6	NUM
ejpam-5803	549	7	-0	-0	SYM
ejpam-5803	549	8	.0	.0	NUM
ejpam-5803	549	9	01	01	NUM
ejpam-5803	549	10	99	99	NUM
ejpam-5803	550	1	99	99	NUM
ejpam-5803	550	2	97	97	NUM
ejpam-5803	550	3	33	33	NUM
ejpam-5803	550	4	33	33	NUM
ejpam-5803	550	5	37	37	NUM
ejpam-5803	550	6	6	6	NUM
ejpam-5803	550	7	0	0	NUM
ejpam-5803	550	8	0	0	NUM
ejpam-5803	550	9	.	.	NOUN
ejpam-5803	550	10	03	03	NUM
ejpam-5803	550	11	5	5	NUM
ejpam-5803	550	12	-0	-0	SYM
ejpam-5803	550	13	.0	.0	NUM
ejpam-5803	550	14	34	34	NUM
ejpam-5803	550	15	98	98	NUM
ejpam-5803	550	16	57	57	NUM
ejpam-5803	550	17	15	15	NUM
ejpam-5803	550	18	33	33	NUM
ejpam-5803	550	19	27	27	NUM
ejpam-5803	550	20	79	79	NUM
ejpam-5803	550	21	4	4	NUM
ejpam-5803	550	22	-0	-0	SYM
ejpam-5803	550	23	.0	.0	NUM
ejpam-5803	550	24	34	34	NUM
ejpam-5803	550	25	98	98	NUM
ejpam-5803	550	26	57	57	NUM
ejpam-5803	550	27	15	15	NUM
ejpam-5803	550	28	33	33	NUM
ejpam-5803	550	29	28	28	NUM
ejpam-5803	550	30	59	59	NUM
ejpam-5803	550	31	5	5	NUM
ejpam-5803	550	32	8	8	NUM
ejpam-5803	550	33	.	.	PUNCT
ejpam-5803	550	34	00	00	NUM
ejpam-5803	551	1	74	74	NUM
ejpam-5803	551	2	8e	8e	NUM
ejpam-5803	551	3	-1	-1	ADP
ejpam-5803	551	4	4	4	NUM
ejpam-5803	551	5	0	0	NUM
ejpam-5803	551	6	.	.	PUNCT
ejpam-5803	551	7	00	00	NUM
ejpam-5803	552	1	3	3	NUM
ejpam-5803	552	2	-0	-0	SYM
ejpam-5803	552	3	.0	.0	NUM
ejpam-5803	552	4	02	02	NUM
ejpam-5803	552	5	99	99	NUM
ejpam-5803	552	6	99	99	NUM
ejpam-5803	552	7	91	91	NUM
ejpam-5803	552	8	00	00	NUM
ejpam-5803	552	9	00	00	NUM
ejpam-5803	552	10	32	32	NUM
ejpam-5803	552	11	4	4	NUM
ejpam-5803	552	12	-0	-0	SYM
ejpam-5803	552	13	.0	.0	NUM
ejpam-5803	552	14	02	02	NUM
ejpam-5803	552	15	99	99	NUM
ejpam-5803	552	16	99	99	NUM
ejpam-5803	552	17	91	91	NUM
ejpam-5803	552	18	00	00	NUM
ejpam-5803	552	19	00	00	NUM
ejpam-5803	552	20	32	32	NUM
ejpam-5803	552	21	4	4	NUM
ejpam-5803	552	22	0	0	NUM
ejpam-5803	552	23	0	0	NUM
ejpam-5803	552	24	.	.	NOUN
ejpam-5803	552	25	03	03	NUM
ejpam-5803	552	26	6	6	NUM
ejpam-5803	552	27	-0	-0	SYM
ejpam-5803	552	28	.0	.0	NUM
ejpam-5803	552	29	35	35	NUM
ejpam-5803	552	30	98	98	NUM
ejpam-5803	552	31	44	44	NUM
ejpam-5803	552	32	56	56	NUM
ejpam-5803	552	33	05	05	NUM
ejpam-5803	552	34	79	79	NUM
ejpam-5803	552	35	29	29	NUM
ejpam-5803	552	36	8	8	NUM
ejpam-5803	552	37	-0	-0	SYM
ejpam-5803	552	38	.0	.0	NUM
ejpam-5803	552	39	35	35	NUM
ejpam-5803	552	40	98	98	NUM
ejpam-5803	552	41	44	44	NUM
ejpam-5803	552	42	56	56	NUM
ejpam-5803	552	43	05	05	NUM
ejpam-5803	552	44	80	80	NUM
ejpam-5803	552	45	30	30	NUM
ejpam-5803	552	46	2	2	NUM
ejpam-5803	552	47	1	1	NUM
ejpam-5803	552	48	.	.	PUNCT
ejpam-5803	552	49	00	00	NUM
ejpam-5803	553	1	30	30	NUM
ejpam-5803	553	2	9e	9e	NOUN
ejpam-5803	553	3	-1	-1	ADP
ejpam-5803	553	4	3	3	NUM
ejpam-5803	553	5	0	0	NUM
ejpam-5803	553	6	.	.	PUNCT
ejpam-5803	553	7	00	00	NUM
ejpam-5803	554	1	4	4	NUM
ejpam-5803	554	2	-0	-0	SYM
ejpam-5803	554	3	.0	.0	NUM
ejpam-5803	554	4	03	03	NUM
ejpam-5803	555	1	99	99	NUM
ejpam-5803	555	2	99	99	NUM
ejpam-5803	555	3	78	78	NUM
ejpam-5803	555	4	66	66	NUM
ejpam-5803	555	5	68	68	NUM
ejpam-5803	555	6	03	03	NUM
ejpam-5803	555	7	2	2	NUM
ejpam-5803	555	8	-0	-0	SYM
ejpam-5803	555	9	.0	.0	NUM
ejpam-5803	555	10	03	03	NUM
ejpam-5803	555	11	99	99	NUM
ejpam-5803	555	12	99	99	NUM
ejpam-5803	555	13	78	78	NUM
ejpam-5803	555	14	66	66	NUM
ejpam-5803	555	15	68	68	NUM
ejpam-5803	555	16	03	03	NUM
ejpam-5803	555	17	2	2	NUM
ejpam-5803	555	18	0	0	NUM
ejpam-5803	555	19	0	0	NUM
ejpam-5803	555	20	.	.	NOUN
ejpam-5803	555	21	03	03	NUM
ejpam-5803	555	22	7	7	NUM
ejpam-5803	555	23	-0	-0	SYM
ejpam-5803	555	24	.0	.0	NUM
ejpam-5803	555	25	36	36	NUM
ejpam-5803	555	26	98	98	NUM
ejpam-5803	555	27	31	31	NUM
ejpam-5803	555	28	24	24	NUM
ejpam-5803	555	29	90	90	NUM
ejpam-5803	555	30	74	74	NUM
ejpam-5803	555	31	07	07	NUM
ejpam-5803	555	32	1	1	NUM
ejpam-5803	555	33	-0	-0	SYM
ejpam-5803	555	34	.0	.0	NUM
ejpam-5803	555	35	36	36	NUM
ejpam-5803	555	36	98	98	NUM
ejpam-5803	555	37	31	31	NUM
ejpam-5803	555	38	24	24	NUM
ejpam-5803	555	39	90	90	NUM
ejpam-5803	555	40	75	75	NUM
ejpam-5803	555	41	32	32	NUM
ejpam-5803	555	42	0	0	NUM
ejpam-5803	555	43	1	1	NUM
ejpam-5803	555	44	.	.	NUM
ejpam-5803	555	45	24	24	NUM
ejpam-5803	555	46	87	87	NUM
ejpam-5803	555	47	2e	2e	NOUN
ejpam-5803	555	48	-1	-1	ADP
ejpam-5803	555	49	3	3	NUM
ejpam-5803	555	50	0	0	NUM
ejpam-5803	555	51	.	.	PUNCT
ejpam-5803	555	52	00	00	NUM
ejpam-5803	556	1	5	5	NUM
ejpam-5803	556	2	-0	-0	SYM
ejpam-5803	556	3	.0	.0	NUM
ejpam-5803	556	4	04	04	NUM
ejpam-5803	557	1	99	99	NUM
ejpam-5803	557	2	99	99	NUM
ejpam-5803	557	3	58	58	NUM
ejpam-5803	557	4	33	33	NUM
ejpam-5803	557	5	37	37	NUM
ejpam-5803	557	6	50	50	NUM
ejpam-5803	557	7	0	0	NUM
ejpam-5803	557	8	-0	-0	SYM
ejpam-5803	557	9	.0	.0	NUM
ejpam-5803	557	10	04	04	NUM
ejpam-5803	557	11	99	99	NUM
ejpam-5803	557	12	99	99	NUM
ejpam-5803	557	13	58	58	NUM
ejpam-5803	557	14	33	33	NUM
ejpam-5803	557	15	37	37	NUM
ejpam-5803	557	16	50	50	NUM
ejpam-5803	557	17	0	0	NUM
ejpam-5803	557	18	0	0	NUM
ejpam-5803	557	19	0	0	NUM
ejpam-5803	557	20	.	.	NOUN
ejpam-5803	557	21	03	03	NUM
ejpam-5803	557	22	8	8	NUM
ejpam-5803	557	23	-0	-0	SYM
ejpam-5803	557	24	.0	.0	NUM
ejpam-5803	557	25	37	37	NUM
ejpam-5803	557	26	98	98	NUM
ejpam-5803	557	27	17	17	NUM
ejpam-5803	557	28	19	19	NUM
ejpam-5803	557	29	89	89	NUM
ejpam-5803	557	30	18	18	NUM
ejpam-5803	557	31	51	51	NUM
ejpam-5803	557	32	2	2	NUM
ejpam-5803	557	33	-0	-0	SYM
ejpam-5803	557	34	.0	.0	NUM
ejpam-5803	557	35	37	37	NUM
ejpam-5803	557	36	98	98	NUM
ejpam-5803	557	37	17	17	NUM
ejpam-5803	557	38	19	19	NUM
ejpam-5803	557	39	89	89	NUM
ejpam-5803	557	40	20	20	NUM
ejpam-5803	557	41	05	05	NUM
ejpam-5803	557	42	8	8	NUM
ejpam-5803	557	43	1	1	NUM
ejpam-5803	557	44	.	.	PUNCT
ejpam-5803	557	45	54	54	NUM
ejpam-5803	557	46	55	55	NUM
ejpam-5803	557	47	e	e	NOUN
ejpam-5803	557	48	-1	-1	NOUN
ejpam-5803	557	49	3	3	NUM
ejpam-5803	557	50	0	0	NUM
ejpam-5803	557	51	.	.	PUNCT
ejpam-5803	557	52	00	00	NUM
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ejpam-5803	571	3	.	.	PROPN
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ejpam-5803	572	23	.	.	NOUN
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ejpam-5803	574	24	-1	-1	PUNCT
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ejpam-5803	574	27	.	.	PUNCT
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ejpam-5803	575	24	.	.	PUNCT
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ejpam-5803	579	10	.	.	PUNCT
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ejpam-5803	579	17	.	.	PUNCT
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ejpam-5803	579	41	.	.	PUNCT
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ejpam-5803	583	3	.	.	PUNCT
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ejpam-5803	583	25	0	0	NUM
ejpam-5803	583	26	2	2	NUM
ejpam-5803	583	27	.	.	NUM
ejpam-5803	583	28	94	94	NUM
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ejpam-5803	583	30	3e	3e	NOUN
ejpam-5803	583	31	-1	-1	PUNCT
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ejpam-5803	583	34	.	.	NOUN
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ejpam-5803	583	38	.0	.0	NUM
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ejpam-5803	583	47	-0	-0	SYM
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ejpam-5803	583	49	45	45	NUM
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ejpam-5803	583	58	.	.	NOUN
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ejpam-5803	583	62	-1	-1	ADP
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ejpam-5803	583	65	.	.	PUNCT
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ejpam-5803	584	24	.	.	NOUN
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ejpam-5803	584	28	-1	-1	PUNCT
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ejpam-5803	584	55	.	.	PUNCT
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ejpam-5803	585	7	.	.	PUNCT
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ejpam-5803	603	30	.	.	PUNCT
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ejpam-5803	605	20	.	.	NOUN
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ejpam-5803	605	27	.	.	PUNCT
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ejpam-5803	621	24	.	.	PUNCT
ejpam-5803	621	25	00	00	NUM
ejpam-5803	622	1	57	57	NUM
ejpam-5803	622	2	9e	9e	NOUN
ejpam-5803	622	3	-1	-1	ADP
ejpam-5803	622	4	4	4	NUM
ejpam-5803	622	5	0	0	NUM
ejpam-5803	622	6	.	.	NUM
ejpam-5803	622	7	06	06	NUM
ejpam-5803	623	1	-0	-0	SYM
ejpam-5803	623	2	.0	.0	NUM
ejpam-5803	623	3	59	59	NUM
ejpam-5803	623	4	92	92	NUM
ejpam-5803	623	5	81	81	NUM
ejpam-5803	623	6	03	03	NUM
ejpam-5803	623	7	52	52	NUM
ejpam-5803	623	8	91	91	NUM
ejpam-5803	623	9	43	43	NUM
ejpam-5803	623	10	5	5	NUM
ejpam-5803	623	11	-0	-0	SYM
ejpam-5803	623	12	.0	.0	NUM
ejpam-5803	623	13	59	59	NUM
ejpam-5803	623	14	92	92	NUM
ejpam-5803	623	15	81	81	NUM
ejpam-5803	623	16	03	03	NUM
ejpam-5803	623	17	53	53	NUM
ejpam-5803	623	18	50	50	NUM
ejpam-5803	623	19	96	96	NUM
ejpam-5803	623	20	0	0	NUM
ejpam-5803	623	21	5	5	NUM
ejpam-5803	623	22	.	.	SYM
ejpam-5803	623	23	95	95	NUM
ejpam-5803	623	24	25	25	NUM
ejpam-5803	623	25	4e	4e	NOUN
ejpam-5803	623	26	-1	-1	ADP
ejpam-5803	623	27	2	2	NUM
ejpam-5803	623	28	0	0	NUM
ejpam-5803	623	29	.	.	PUNCT
ejpam-5803	624	1	02	02	NUM
ejpam-5803	624	2	8	8	NUM
ejpam-5803	624	3	-0	-0	SYM
ejpam-5803	624	4	.0	.0	NUM
ejpam-5803	624	5	27	27	NUM
ejpam-5803	624	6	99	99	NUM
ejpam-5803	624	7	26	26	NUM
ejpam-5803	624	8	84	84	NUM
ejpam-5803	624	9	96	96	NUM
ejpam-5803	624	10	06	06	NUM
ejpam-5803	624	11	54	54	NUM
ejpam-5803	624	12	4	4	NUM
ejpam-5803	624	13	-0	-0	SYM
ejpam-5803	624	14	.0	.0	NUM
ejpam-5803	624	15	27	27	NUM
ejpam-5803	624	16	99	99	NUM
ejpam-5803	624	17	26	26	NUM
ejpam-5803	624	18	84	84	NUM
ejpam-5803	624	19	96	96	NUM
ejpam-5803	624	20	06	06	NUM
ejpam-5803	624	21	67	67	NUM
ejpam-5803	624	22	9	9	NUM
ejpam-5803	624	23	1	1	NUM
ejpam-5803	624	24	.	.	PUNCT
ejpam-5803	625	1	34	34	NUM
ejpam-5803	625	2	47	47	NUM
ejpam-5803	625	3	6e	6e	NUM
ejpam-5803	625	4	-1	-1	ADP
ejpam-5803	625	5	4	4	NUM
ejpam-5803	625	6	0	0	NUM
ejpam-5803	625	7	.	.	X
ejpam-5803	625	8	06	06	NUM
ejpam-5803	626	1	1	1	NUM
ejpam-5803	626	2	-0	-0	SYM
ejpam-5803	626	3	.0	.0	NUM
ejpam-5803	626	4	60	60	NUM
ejpam-5803	626	5	92	92	NUM
ejpam-5803	626	6	44	44	NUM
ejpam-5803	626	7	52	52	NUM
ejpam-5803	626	8	11	11	NUM
ejpam-5803	626	9	01	01	NUM
ejpam-5803	626	10	53	53	NUM
ejpam-5803	626	11	8	8	NUM
ejpam-5803	626	12	-0	-0	SYM
ejpam-5803	626	13	.0	.0	NUM
ejpam-5803	626	14	60	60	NUM
ejpam-5803	626	15	92	92	NUM
ejpam-5803	626	16	44	44	NUM
ejpam-5803	626	17	52	52	NUM
ejpam-5803	626	18	11	11	NUM
ejpam-5803	626	19	69	69	NUM
ejpam-5803	626	20	46	46	NUM
ejpam-5803	626	21	9	9	NUM
ejpam-5803	626	22	6	6	NUM
ejpam-5803	626	23	.	.	PUNCT
ejpam-5803	626	24	79	79	NUM
ejpam-5803	626	25	31	31	NUM
ejpam-5803	626	26	4e	4e	NOUN
ejpam-5803	626	27	-1	-1	ADP
ejpam-5803	626	28	2	2	NUM
ejpam-5803	626	29	0	0	NUM
ejpam-5803	626	30	.	.	PUNCT
ejpam-5803	627	1	02	02	NUM
ejpam-5803	627	2	9	9	NUM
ejpam-5803	627	3	-0	-0	SYM
ejpam-5803	627	4	.0	.0	NUM
ejpam-5803	627	5	28	28	NUM
ejpam-5803	627	6	99	99	NUM
ejpam-5803	627	7	18	18	NUM
ejpam-5803	627	8	73	73	NUM
ejpam-5803	627	9	06	06	NUM
ejpam-5803	627	10	72	72	NUM
ejpam-5803	627	11	22	22	NUM
ejpam-5803	627	12	6	6	NUM
ejpam-5803	627	13	-0	-0	SYM
ejpam-5803	627	14	.0	.0	NUM
ejpam-5803	627	15	28	28	NUM
ejpam-5803	627	16	99	99	NUM
ejpam-5803	627	17	18	18	NUM
ejpam-5803	627	18	73	73	NUM
ejpam-5803	627	19	06	06	NUM
ejpam-5803	627	20	72	72	NUM
ejpam-5803	627	21	40	40	NUM
ejpam-5803	627	22	4	4	NUM
ejpam-5803	627	23	1	1	NUM
ejpam-5803	627	24	.	.	PUNCT
ejpam-5803	628	1	78	78	NUM
ejpam-5803	628	2	05	05	NUM
ejpam-5803	628	3	2e	2e	NOUN
ejpam-5803	628	4	-1	-1	ADP
ejpam-5803	628	5	4	4	NUM
ejpam-5803	628	6	0	0	NUM
ejpam-5803	628	7	.	.	X
ejpam-5803	628	8	06	06	NUM
ejpam-5803	629	1	2	2	NUM
ejpam-5803	629	2	-0	-0	SYM
ejpam-5803	629	3	.0	.0	NUM
ejpam-5803	629	4	61	61	NUM
ejpam-5803	629	5	92	92	NUM
ejpam-5803	629	6	06	06	NUM
ejpam-5803	629	7	79	79	NUM
ejpam-5803	629	8	29	29	NUM
ejpam-5803	629	9	46	46	NUM
ejpam-5803	629	10	17	17	NUM
ejpam-5803	629	11	8	8	NUM
ejpam-5803	629	12	-0	-0	SYM
ejpam-5803	629	13	.0	.0	NUM
ejpam-5803	629	14	61	61	NUM
ejpam-5803	629	15	92	92	NUM
ejpam-5803	629	16	06	06	NUM
ejpam-5803	629	17	79	79	NUM
ejpam-5803	629	18	30	30	NUM
ejpam-5803	629	19	23	23	NUM
ejpam-5803	629	20	53	53	NUM
ejpam-5803	629	21	6	6	NUM
ejpam-5803	629	22	7	7	NUM
ejpam-5803	629	23	.	.	PUNCT
ejpam-5803	629	24	73	73	NUM
ejpam-5803	629	25	57	57	NUM
ejpam-5803	629	26	7e	7e	NUM
ejpam-5803	629	27	-1	-1	ADP
ejpam-5803	629	28	2	2	NUM
ejpam-5803	629	29	0	0	NUM
ejpam-5803	629	30	.	.	NOUN
ejpam-5803	629	31	03	03	NUM
ejpam-5803	630	1	-0	-0	SYM
ejpam-5803	630	2	.0	.0	NUM
ejpam-5803	630	3	29	29	NUM
ejpam-5803	630	4	99	99	NUM
ejpam-5803	630	5	10	10	NUM
ejpam-5803	630	6	03	03	NUM
ejpam-5803	630	7	23	23	NUM
ejpam-5803	630	8	88	88	NUM
ejpam-5803	630	9	20	20	NUM
ejpam-5803	630	10	1	1	NUM
ejpam-5803	630	11	-0	-0	SYM
ejpam-5803	630	12	.0	.0	NUM
ejpam-5803	630	13	29	29	NUM
ejpam-5803	630	14	99	99	NUM
ejpam-5803	630	15	10	10	NUM
ejpam-5803	630	16	03	03	NUM
ejpam-5803	630	17	23	23	NUM
ejpam-5803	630	18	88	88	NUM
ejpam-5803	630	19	43	43	NUM
ejpam-5803	630	20	5	5	NUM
ejpam-5803	630	21	2	2	NUM
ejpam-5803	630	22	.	.	PUNCT
ejpam-5803	630	23	33	33	NUM
ejpam-5803	630	24	49	49	NUM
ejpam-5803	630	25	4e	4e	NOUN
ejpam-5803	630	26	-1	-1	ADP
ejpam-5803	630	27	4	4	NUM
ejpam-5803	630	28	0	0	NUM
ejpam-5803	630	29	.	.	X
ejpam-5803	630	30	06	06	NUM
ejpam-5803	631	1	3	3	NUM
ejpam-5803	631	2	-0	-0	SYM
ejpam-5803	631	3	.0	.0	NUM
ejpam-5803	631	4	62	62	NUM
ejpam-5803	631	5	91	91	NUM
ejpam-5803	631	6	67	67	NUM
ejpam-5803	631	7	83	83	NUM
ejpam-5803	631	8	11	11	NUM
ejpam-5803	631	9	26	26	NUM
ejpam-5803	631	10	33	33	NUM
ejpam-5803	631	11	9	9	NUM
ejpam-5803	631	12	-0	-0	SYM
ejpam-5803	631	13	.0	.0	NUM
ejpam-5803	631	14	62	62	NUM
ejpam-5803	631	15	91	91	NUM
ejpam-5803	631	16	67	67	NUM
ejpam-5803	631	17	83	83	NUM
ejpam-5803	631	18	12	12	NUM
ejpam-5803	631	19	14	14	NUM
ejpam-5803	631	20	24	24	NUM
ejpam-5803	631	21	7	7	NUM
ejpam-5803	631	22	8	8	NUM
ejpam-5803	631	23	.	.	PUNCT
ejpam-5803	632	1	79	79	NUM
ejpam-5803	632	2	09	09	NUM
ejpam-5803	632	3	e	e	NOUN
ejpam-5803	632	4	-1	-1	ADP
ejpam-5803	632	5	2	2	NUM
ejpam-5803	632	6	0	0	NUM
ejpam-5803	632	7	.	.	PUNCT
ejpam-5803	632	8	03	03	NUM
ejpam-5803	632	9	1	1	NUM
ejpam-5803	632	10	-0	-0	SYM
ejpam-5803	632	11	.0	.0	NUM
ejpam-5803	632	12	30	30	NUM
ejpam-5803	632	13	99	99	NUM
ejpam-5803	632	14	00	00	NUM
ejpam-5803	632	15	73	73	NUM
ejpam-5803	632	16	48	48	NUM
ejpam-5803	632	17	24	24	NUM
ejpam-5803	632	18	02	02	NUM
ejpam-5803	632	19	6	6	NUM
ejpam-5803	632	20	-0	-0	SYM
ejpam-5803	632	21	.0	.0	NUM
ejpam-5803	632	22	30	30	NUM
ejpam-5803	632	23	99	99	NUM
ejpam-5803	632	24	00	00	NUM
ejpam-5803	632	25	73	73	NUM
ejpam-5803	632	26	48	48	NUM
ejpam-5803	632	27	24	24	NUM
ejpam-5803	632	28	32	32	NUM
ejpam-5803	632	29	9	9	NUM
ejpam-5803	632	30	3	3	NUM
ejpam-5803	632	31	.	.	NOUN
ejpam-5803	632	32	03	03	NUM
ejpam-5803	632	33	43	43	NUM
ejpam-5803	632	34	8e	8e	NUM
ejpam-5803	632	35	-1	-1	ADP
ejpam-5803	632	36	4	4	NUM
ejpam-5803	632	37	0	0	NUM
ejpam-5803	632	38	.	.	X
ejpam-5803	632	39	06	06	NUM
ejpam-5803	632	40	4	4	NUM
ejpam-5803	632	41	-0	-0	SYM
ejpam-5803	632	42	.0	.0	NUM
ejpam-5803	632	43	63	63	NUM
ejpam-5803	632	44	91	91	NUM
ejpam-5803	632	45	27	27	NUM
ejpam-5803	632	46	61	61	NUM
ejpam-5803	632	47	59	59	NUM
ejpam-5803	632	48	52	52	NUM
ejpam-5803	632	49	81	81	NUM
ejpam-5803	632	50	6	6	NUM
ejpam-5803	632	51	-0	-0	SYM
ejpam-5803	632	52	.0	.0	NUM
ejpam-5803	632	53	63	63	NUM
ejpam-5803	632	54	91	91	NUM
ejpam-5803	632	55	27	27	NUM
ejpam-5803	632	56	61	61	NUM
ejpam-5803	632	57	60	60	NUM
ejpam-5803	632	58	52	52	NUM
ejpam-5803	632	59	51	51	NUM
ejpam-5803	632	60	4	4	NUM
ejpam-5803	632	61	9	9	NUM
ejpam-5803	632	62	.	.	X
ejpam-5803	632	63	96	96	NUM
ejpam-5803	632	64	97	97	NUM
ejpam-5803	632	65	9e	9e	NOUN
ejpam-5803	632	66	-1	-1	SYM
ejpam-5803	632	67	2	2	NUM
ejpam-5803	632	68	m.	m.	NOUN
ejpam-5803	632	69	m.	m.	NOUN
ejpam-5803	632	70	a.	a.	NOUN
ejpam-5803	632	71	khater	khater	PROPN
ejpam-5803	632	72	/	/	SYM
ejpam-5803	632	73	eur	eur	PROPN
ejpam-5803	632	74	.	.	PUNCT
ejpam-5803	633	1	j.	j.	PROPN
ejpam-5803	633	2	pure	pure	PROPN
ejpam-5803	633	3	appl	appl	PROPN
ejpam-5803	633	4	.	.	PROPN
ejpam-5803	633	5	math	math	PROPN
ejpam-5803	633	6	,	,	PUNCT
ejpam-5803	633	7	18	18	NUM
ejpam-5803	633	8	(	(	PUNCT
ejpam-5803	633	9	4	4	NUM
ejpam-5803	633	10	)	)	PUNCT
ejpam-5803	633	11	(	(	PUNCT
ejpam-5803	633	12	2025	2025	NUM
ejpam-5803	633	13	)	)	PUNCT
ejpam-5803	633	14	,	,	PUNCT
ejpam-5803	633	15	5803	5803	NUM
ejpam-5803	633	16	31	31	NUM
ejpam-5803	633	17	of	of	ADP
ejpam-5803	633	18	31	31	NUM
ejpam-5803	633	19	ta	ta	PART
ejpam-5803	633	20	bl	bl	PROPN
ejpam-5803	633	21	e	e	PROPN
ejpam-5803	633	22	2	2	NUM
ejpam-5803	633	23	:	:	PUNCT
ejpam-5803	633	24	co	co	VERB
ejpam-5803	633	25	m	m	VERB
ejpam-5803	633	26	pa	pa	PROPN
ejpam-5803	633	27	ris	ris	X
ejpam-5803	633	28	on	on	ADP
ejpam-5803	633	29	of	of	ADP
ejpam-5803	633	30	a	a	DET
ejpam-5803	633	31	na	na	NOUN
ejpam-5803	633	32	ly	ly	X
ejpam-5803	633	33	tic	tic	PROPN
ejpam-5803	634	1	al	al	PROPN
ejpam-5803	635	1	an	an	PROPN
ejpam-5803	636	1	d	d	PROPN
ejpam-5803	637	1	a	a	PRON
ejpam-5803	638	1	pp	pp	INTJ
ejpam-5803	639	1	ro	ro	INTJ
ejpam-5803	639	2	xi	xi	INTJ
ejpam-5803	639	3	m	m	PROPN
ejpam-5803	639	4	at	at	ADP
ejpam-5803	639	5	e	e	PROPN
ejpam-5803	639	6	so	so	ADV
ejpam-5803	639	7	lu	lu	NOUN
ejpam-5803	639	8	tio	tio	NOUN
ejpam-5803	639	9	ns	ns	INTJ
ejpam-5803	640	1	fo	fo	ADP
ejpam-5803	640	2	r	r	NOUN
ejpam-5803	640	3	eq	eq	NOUN
ejpam-5803	640	4	ua	ua	PROPN
ejpam-5803	640	5	tio	tio	PROPN
ejpam-5803	640	6	n	n	PROPN
ejpam-5803	640	7	(	(	PUNCT
ejpam-5803	640	8	1	1	NUM
ejpam-5803	640	9	7	7	NUM
ejpam-5803	640	10	)	)	PUNCT
ejpam-5803	640	11	u	u	NOUN
ejpam-5803	640	12	til	til	ADV
ejpam-5803	640	13	iz	iz	INTJ
ejpam-5803	640	14	in	in	ADP
ejpam-5803	640	15	g	g	PROPN
ejpam-5803	640	16	th	th	X
ejpam-5803	640	17	e	e	X
ejpam-5803	640	18	ad	ad	NOUN
ejpam-5803	640	19	om	om	PROPN
ejpam-5803	640	20	ia	ia	PROPN
ejpam-5803	641	1	n	n	PROPN
ejpam-5803	641	2	d	d	NOUN
ejpam-5803	641	3	ec	ec	PROPN
ejpam-5803	641	4	om	om	PROPN
ejpam-5803	641	5	po	po	PROPN
ejpam-5803	641	6	sit	sit	VERB
ejpam-5803	641	7	io	io	PROPN
ejpam-5803	641	8	n	n	PRON
ejpam-5803	641	9	sc	sc	INTJ
ejpam-5803	642	1	he	he	PRON
ejpam-5803	642	2	m	m	VERB
ejpam-5803	642	3	e.	e.	PROPN
ejpam-5803	642	4	th	th	PROPN
ejpam-5803	642	5	is	be	AUX
ejpam-5803	642	6	ta	ta	AUX
ejpam-5803	642	7	bl	bl	PROPN
ejpam-5803	642	8	ed	ed	PROPN
ejpam-5803	642	9	et	et	NOUN
ejpam-5803	642	10	ai	ai	VERB
ejpam-5803	642	11	ls	ls	INTJ
ejpam-5803	642	12	th	th	INTJ
ejpam-5803	642	13	er	er	INTJ
ejpam-5803	642	14	es	es	X
ejpam-5803	642	15	ul	ul	INTJ
ejpam-5803	642	16	ts	ts	ADP
ejpam-5803	642	17	of	of	ADP
ejpam-5803	642	18	ap	ap	PROPN
ejpam-5803	642	19	pl	pl	PROPN
ejpam-5803	642	20	yin	yin	PROPN
ejpam-5803	643	1	g	g	PROPN
ejpam-5803	643	2	th	th	INTJ
ejpam-5803	643	3	ea	ea	X
ejpam-5803	643	4	do	do	AUX
ejpam-5803	643	5	m	m	PROPN
ejpam-5803	643	6	ia	ia	PROPN
ejpam-5803	643	7	n	n	PROPN
ejpam-5803	643	8	d	d	NOUN
ejpam-5803	643	9	ec	ec	PROPN
ejpam-5803	643	10	om	om	PROPN
ejpam-5803	643	11	po	po	PROPN
ejpam-5803	643	12	sit	sit	VERB
ejpam-5803	643	13	io	io	PROPN
ejpam-5803	643	14	n	n	ADV
ejpam-5803	643	15	m	m	NOUN
ejpam-5803	643	16	et	et	NOUN
ejpam-5803	643	17	ho	ho	PROPN
ejpam-5803	643	18	d	d	X
ejpam-5803	643	19	to	to	ADP
ejpam-5803	643	20	eq	eq	NOUN
ejpam-5803	643	21	.	.	PUNCT
ejpam-5803	644	1	(	(	PUNCT
ejpam-5803	644	2	27	27	NUM
ejpam-5803	644	3	)	)	PUNCT
ejpam-5803	644	4	,	,	PUNCT
ejpam-5803	644	5	sh	sh	INTJ
ejpam-5803	644	6	ow	ow	INTJ
ejpam-5803	644	7	ca	can	AUX
ejpam-5803	644	8	sin	sin	VERB
ejpam-5803	644	9	g	g	PROPN
ejpam-5803	644	10	th	th	ADV
ejpam-5803	644	11	ea	ea	NOUN
ejpam-5803	644	12	bs	bs	PROPN
ejpam-5803	644	13	ol	ol	PROPN
ejpam-5803	644	14	ut	ut	PROPN
ejpam-5803	644	15	ee	ee	PROPN
ejpam-5803	644	16	rro	rro	PROPN
ejpam-5803	644	17	rs	rs	PROPN
ejpam-5803	644	18	as	as	ADP
ejpam-5803	644	19	so	so	ADV
ejpam-5803	644	20	cia	cia	PROPN
ejpam-5803	644	21	te	te	PROPN
ejpam-5803	644	22	d	d	PROPN
ejpam-5803	644	23	wi	wi	PROPN
ejpam-5803	644	24	th	th	X
ejpam-5803	644	25	th	th	X
ejpam-5803	644	26	ea	ea	NOUN
ejpam-5803	645	1	pp	pp	PROPN
ejpam-5803	646	1	ro	ro	PROPN
ejpam-5803	646	2	xim	xim	PROPN
ejpam-5803	646	3	at	at	ADP
ejpam-5803	646	4	e	e	PROPN
ejpam-5803	646	5	so	so	ADV
ejpam-5803	646	6	lu	lu	NOUN
ejpam-5803	646	7	tio	tio	PROPN
ejpam-5803	646	8	ns	ns	INTJ
ejpam-5803	646	9	.	.	PUNCT
ejpam-5803	647	1	th	th	X
ejpam-5803	647	2	e	e	X
ejpam-5803	647	3	re	re	PROPN
ejpam-5803	647	4	su	su	PROPN
ejpam-5803	647	5	lts	lts	PROPN
ejpam-5803	647	6	em	em	PRON
ejpam-5803	647	7	ph	ph	VERB
ejpam-5803	647	8	as	as	ADP
ejpam-5803	647	9	ize	ize	PROPN
ejpam-5803	647	10	th	th	X
ejpam-5803	647	11	e	e	X
ejpam-5803	647	12	ro	ro	PROPN
ejpam-5803	647	13	bu	bu	PROPN
ejpam-5803	647	14	st	st	PROPN
ejpam-5803	647	15	ne	ne	PROPN
ejpam-5803	647	16	ss	ss	PROPN
ejpam-5803	647	17	of	of	ADP
ejpam-5803	647	18	th	th	X
ejpam-5803	647	19	e	e	X
ejpam-5803	647	20	m	m	NOUN
ejpam-5803	647	21	et	et	NOUN
ejpam-5803	647	22	ho	ho	PROPN
ejpam-5803	648	1	d	d	X
ejpam-5803	648	2	ac	ac	PROPN
ejpam-5803	649	1	ro	ro	PROPN
ejpam-5803	650	1	ss	ss	PROPN
ejpam-5803	651	1	va	va	PROPN
ejpam-5803	652	1	rio	rio	PROPN
ejpam-5803	653	1	us	us	PROPN
ejpam-5803	654	1	pa	pa	PROPN
ejpam-5803	654	2	ra	ra	PROPN
ejpam-5803	654	3	m	m	VERB
ejpam-5803	654	4	et	et	PROPN
ejpam-5803	654	5	er	er	INTJ
ejpam-5803	654	6	se	se	X
ejpam-5803	654	7	tt	tt	PROPN
ejpam-5803	654	8	in	in	ADP
ejpam-5803	654	9	gs	gs	PROPN
ejpam-5803	654	10	,	,	PUNCT
ejpam-5803	654	11	d	d	VERB
ejpam-5803	654	12	em	em	PRON
ejpam-5803	654	13	on	on	ADP
ejpam-5803	654	14	st	st	PROPN
ejpam-5803	654	15	ra	ra	PROPN
ejpam-5803	654	16	tin	tin	NOUN
ejpam-5803	654	17	g	g	ADP
ejpam-5803	654	18	its	its	PRON
ejpam-5803	654	19	ca	ca	NOUN
ejpam-5803	654	20	pa	pa	PROPN
ejpam-5803	654	21	bi	bi	PROPN
ejpam-5803	654	22	lit	light	VERB
ejpam-5803	654	23	y	y	PROPN
ejpam-5803	654	24	to	to	ADP
ejpam-5803	654	25	yie	yie	PROPN
ejpam-5803	654	26	ld	ld	PROPN
ejpam-5803	654	27	co	co	PROPN
ejpam-5803	654	28	ns	ns	PROPN
ejpam-5803	654	29	ist	ist	PROPN
ejpam-5803	654	30	en	en	PROPN
ejpam-5803	654	31	t	t	PROPN
ejpam-5803	654	32	an	an	PRON
ejpam-5803	654	33	d	d	X
ejpam-5803	654	34	ac	ac	PROPN
ejpam-5803	654	35	cu	cu	PROPN
ejpam-5803	654	36	ra	ra	PROPN
ejpam-5803	655	1	te	te	INTJ
ejpam-5803	655	2	so	so	ADV
ejpam-5803	655	3	lu	lu	NOUN
ejpam-5803	655	4	tio	tio	PROPN
ejpam-5803	656	1	ns	ns	INTJ
ejpam-5803	656	2	.t	.t	PROPN
ejpam-5803	657	1	hi	hi	INTJ
ejpam-5803	658	1	si	si	INTJ
ejpam-5803	658	2	sp	sp	ADP
ejpam-5803	658	3	ar	ar	PROPN
ejpam-5803	658	4	tic	tic	PROPN
ejpam-5803	658	5	ul	ul	INTJ
ejpam-5803	658	6	ar	ar	NOUN
ejpam-5803	658	7	ly	ly	ADP
ejpam-5803	658	8	sig	sig	PRON
ejpam-5803	658	9	ni	ni	PROPN
ejpam-5803	658	10	fic	fic	PROPN
ejpam-5803	658	11	an	an	DET
ejpam-5803	658	12	ti	ti	NOUN
ejpam-5803	658	13	n	n	ADV
ejpam-5803	658	14	th	th	X
ejpam-5803	658	15	e	e	X
ejpam-5803	658	16	co	co	X
ejpam-5803	658	17	nt	not	PART
ejpam-5803	658	18	ex	ex	X
ejpam-5803	658	19	to	to	PART
ejpam-5803	658	20	fn	fn	VERB
ejpam-5803	658	21	on	on	ADP
ejpam-5803	658	22	lin	lin	PROPN
ejpam-5803	658	23	ea	ea	PROPN
ejpam-5803	658	24	rd	rd	PROPN
ejpam-5803	658	25	yn	yn	PROPN
ejpam-5803	658	26	am	be	AUX
ejpam-5803	658	27	ics	ic	NOUN
ejpam-5803	658	28	,	,	PUNCT
ejpam-5803	658	29	w	w	VERB
ejpam-5803	658	30	he	he	PRON
ejpam-5803	658	31	re	re	VERB
ejpam-5803	658	32	pr	pr	VERB
ejpam-5803	658	33	ec	ec	PROPN
ejpam-5803	658	34	ise	ise	PROPN
ejpam-5803	658	35	m	m	PROPN
ejpam-5803	658	36	od	od	PROPN
ejpam-5803	658	37	eli	eli	PROPN
ejpam-5803	658	38	ng	ng	PROPN
ejpam-5803	658	39	is	be	AUX
ejpam-5803	658	40	es	es	PRON
ejpam-5803	658	41	se	se	PROPN
ejpam-5803	658	42	nt	nt	PROPN
ejpam-5803	658	43	ia	ia	PROPN
ejpam-5803	658	44	lf	lf	ADV
ejpam-5803	658	45	or	or	CCONJ
ejpam-5803	658	46	pr	pr	VERB
ejpam-5803	658	47	ed	ed	PROPN
ejpam-5803	658	48	ict	ict	PROPN
ejpam-5803	658	49	in	in	ADP
ejpam-5803	658	50	g	g	PROPN
ejpam-5803	658	51	sy	sy	PROPN
ejpam-5803	658	52	st	st	PROPN
ejpam-5803	659	1	em	em	PRON
ejpam-5803	659	2	be	be	VERB
ejpam-5803	659	3	ha	ha	INTJ
ejpam-5803	659	4	vio	vio	PROPN
ejpam-5803	659	5	r	r	PROPN
ejpam-5803	659	6	un	un	PROPN
ejpam-5803	659	7	de	de	PROPN
ejpam-5803	659	8	rd	rd	PROPN
ejpam-5803	659	9	iff	iff	PROPN
ejpam-5803	659	10	er	er	INTJ
ejpam-5803	659	11	en	en	INTJ
ejpam-5803	659	12	tc	tc	X
ejpam-5803	659	13	on	on	ADP
ejpam-5803	659	14	di	di	X
ejpam-5803	659	15	tio	tio	NOUN
ejpam-5803	659	16	ns	ns	INTJ
ejpam-5803	659	17	.	.	PUNCT
ejpam-5803	660	1	v	v	X
ejpam-5803	660	2	al	al	PROPN
ejpam-5803	660	3	u	u	PROPN
ejpam-5803	660	4	e	e	PROPN
ejpam-5803	660	5	of	of	ADP
ejpam-5803	660	6	ξ	ξ	PROPN
ejpam-5803	660	7	c	c	NOUN
ejpam-5803	660	8	om	om	PROPN
ejpam-5803	660	9	p	p	PROPN
ejpam-5803	660	10	.	.	PUNCT
ejpam-5803	661	1	s	s	VERB
ejpam-5803	661	2	ol	ol	ADJ
ejpam-5803	661	3	.	.	PUNCT
ejpam-5803	662	1	a	a	DET
ejpam-5803	662	2	p	p	X
ejpam-5803	662	3	p	p	X
ejpam-5803	662	4	ro	ro	X
ejpam-5803	662	5	x	x	INTJ
ejpam-5803	662	6	.	.	PUNCT
ejpam-5803	662	7	s	s	VERB
ejpam-5803	662	8	ol	ol	ADJ
ejpam-5803	662	9	.	.	PUNCT
ejpam-5803	663	1	|e	|e	PROPN
ejpam-5803	663	2	rr	rr	INTJ
ejpam-5803	664	1	or	or	CCONJ
ejpam-5803	664	2	|	|	ADV
ejpam-5803	664	3	v	v	NOUN
ejpam-5803	664	4	al	al	PROPN
ejpam-5803	664	5	u	u	PROPN
ejpam-5803	664	6	e	e	PROPN
ejpam-5803	664	7	of	of	ADP
ejpam-5803	664	8	ξ	ξ	PROPN
ejpam-5803	664	9	c	c	NOUN
ejpam-5803	664	10	om	om	PROPN
ejpam-5803	664	11	p	p	PROPN
ejpam-5803	664	12	.	.	PUNCT
ejpam-5803	665	1	s	s	AUX
ejpam-5803	665	2	ol	ol	ADJ
ejpam-5803	665	3	.3	.3	NUM
ejpam-5803	665	4	a	a	DET
ejpam-5803	665	5	p	p	X
ejpam-5803	665	6	p	p	X
ejpam-5803	665	7	ro	ro	X
ejpam-5803	665	8	x	x	INTJ
ejpam-5803	665	9	.	.	PUNCT
ejpam-5803	665	10	s	s	VERB
ejpam-5803	665	11	ol	ol	ADJ
ejpam-5803	665	12	.	.	PUNCT
ejpam-5803	666	1	|e	|e	PROPN
ejpam-5803	666	2	rr	rr	INTJ
ejpam-5803	667	1	or	or	CCONJ
ejpam-5803	667	2	|	|	ADV
ejpam-5803	667	3	0	0	NUM
ejpam-5803	667	4	1	1	NUM
ejpam-5803	667	5	.	.	X
ejpam-5803	668	1	41	41	NUM
ejpam-5803	669	1	42	42	NUM
ejpam-5803	669	2	13	13	NUM
ejpam-5803	669	3	56	56	NUM
ejpam-5803	669	4	23	23	NUM
ejpam-5803	669	5	73	73	NUM
ejpam-5803	669	6	10	10	NUM
ejpam-5803	669	7	1	1	NUM
ejpam-5803	669	8	.	.	PUNCT
ejpam-5803	670	1	41	41	NUM
ejpam-5803	670	2	42	42	NUM
ejpam-5803	670	3	13	13	NUM
ejpam-5803	670	4	56	56	NUM
ejpam-5803	670	5	23	23	NUM
ejpam-5803	670	6	73	73	NUM
ejpam-5803	670	7	10	10	NUM
ejpam-5803	670	8	0	0	NUM
ejpam-5803	670	9	.	.	PUNCT
ejpam-5803	670	10	00	00	NUM
ejpam-5803	670	11	00	00	NUM
ejpam-5803	670	12	00	00	NUM
ejpam-5803	670	13	00	00	NUM
ejpam-5803	670	14	00	00	NUM
ejpam-5803	670	15	00	00	NUM
ejpam-5803	670	16	0e	0e	NOUN
ejpam-5803	671	1	+	+	X
ejpam-5803	671	2	00	00	NUM
ejpam-5803	671	3	0	0	NUM
ejpam-5803	671	4	.	.	NOUN
ejpam-5803	671	5	03	03	NUM
ejpam-5803	671	6	3	3	NUM
ejpam-5803	671	7	1	1	NUM
ejpam-5803	671	8	.	.	PUNCT
ejpam-5803	672	1	41	41	NUM
ejpam-5803	672	2	34	34	NUM
ejpam-5803	672	3	43	43	NUM
ejpam-5803	672	4	87	87	NUM
ejpam-5803	672	5	23	23	NUM
ejpam-5803	672	6	39	39	NUM
ejpam-5803	672	7	04	04	NUM
ejpam-5803	672	8	1	1	NUM
ejpam-5803	672	9	.	.	PUNCT
ejpam-5803	672	10	41	41	NUM
ejpam-5803	672	11	34	34	NUM
ejpam-5803	672	12	44	44	NUM
ejpam-5803	672	13	46	46	NUM
ejpam-5803	672	14	53	53	NUM
ejpam-5803	672	15	81	81	NUM
ejpam-5803	672	16	88	88	NUM
ejpam-5803	672	17	5	5	NUM
ejpam-5803	672	18	.	.	PUNCT
ejpam-5803	673	1	93	93	NUM
ejpam-5803	673	2	04	04	NUM
ejpam-5803	673	3	28	28	NUM
ejpam-5803	673	4	36	36	NUM
ejpam-5803	673	5	61	61	NUM
ejpam-5803	673	6	63	63	NUM
ejpam-5803	673	7	2e	2e	NOUN
ejpam-5803	673	8	-0	-0	NOUN
ejpam-5803	673	9	7	7	NUM
ejpam-5803	673	10	0	0	NUM
ejpam-5803	673	11	.	.	PUNCT
ejpam-5803	673	12	00	00	NUM
ejpam-5803	673	13	1	1	NUM
ejpam-5803	673	14	1	1	NUM
ejpam-5803	673	15	.	.	PUNCT
ejpam-5803	673	16	41	41	NUM
ejpam-5803	673	17	42	42	NUM
ejpam-5803	673	18	12	12	NUM
ejpam-5803	673	19	85	85	NUM
ejpam-5803	673	20	52	52	NUM
ejpam-5803	673	21	66	66	NUM
ejpam-5803	673	22	61	61	NUM
ejpam-5803	673	23	1	1	NUM
ejpam-5803	673	24	.	.	PUNCT
ejpam-5803	673	25	41	41	NUM
ejpam-5803	673	26	42	42	NUM
ejpam-5803	673	27	12	12	NUM
ejpam-5803	673	28	85	85	NUM
ejpam-5803	673	29	52	52	NUM
ejpam-5803	673	30	67	67	NUM
ejpam-5803	673	31	11	11	NUM
ejpam-5803	673	32	4	4	NUM
ejpam-5803	673	33	.	.	X
ejpam-5803	673	34	99	99	NUM
ejpam-5803	673	35	82	82	NUM
ejpam-5803	673	36	24	24	NUM
ejpam-5803	673	37	05	05	NUM
ejpam-5803	673	38	68	68	NUM
ejpam-5803	673	39	62	62	NUM
ejpam-5803	673	40	5e	5e	NOUN
ejpam-5803	673	41	-1	-1	ADP
ejpam-5803	673	42	3	3	NUM
ejpam-5803	673	43	0	0	NUM
ejpam-5803	673	44	.	.	NOUN
ejpam-5803	673	45	03	03	NUM
ejpam-5803	674	1	4	4	NUM
ejpam-5803	674	2	1	1	NUM
ejpam-5803	674	3	.	.	PUNCT
ejpam-5803	675	1	41	41	NUM
ejpam-5803	675	2	33	33	NUM
ejpam-5803	675	3	96	96	NUM
ejpam-5803	675	4	54	54	NUM
ejpam-5803	675	5	04	04	NUM
ejpam-5803	675	6	70	70	NUM
ejpam-5803	675	7	81	81	NUM
ejpam-5803	675	8	1	1	NUM
ejpam-5803	675	9	.	.	X
ejpam-5803	675	10	41	41	NUM
ejpam-5803	675	11	33	33	NUM
ejpam-5803	675	12	97	97	NUM
ejpam-5803	675	13	20	20	NUM
ejpam-5803	675	14	87	87	NUM
ejpam-5803	675	15	37	37	NUM
ejpam-5803	675	16	29	29	NUM
ejpam-5803	675	17	6	6	NUM
ejpam-5803	675	18	.	.	PUNCT
ejpam-5803	675	19	68	68	NUM
ejpam-5803	675	20	26	26	NUM
ejpam-5803	675	21	64	64	NUM
ejpam-5803	675	22	83	83	NUM
ejpam-5803	675	23	03	03	NUM
ejpam-5803	675	24	93	93	NUM
ejpam-5803	675	25	0e	0e	NOUN
ejpam-5803	675	26	-0	-0	PUNCT
ejpam-5803	675	27	7	7	NUM
ejpam-5803	675	28	0	0	NUM
ejpam-5803	675	29	.	.	PUNCT
ejpam-5803	675	30	00	00	NUM
ejpam-5803	676	1	2	2	NUM
ejpam-5803	676	2	1	1	NUM
ejpam-5803	676	3	.	.	PUNCT
ejpam-5803	677	1	41	41	NUM
ejpam-5803	677	2	42	42	NUM
ejpam-5803	677	3	10	10	NUM
ejpam-5803	677	4	73	73	NUM
ejpam-5803	677	5	39	39	NUM
ejpam-5803	677	6	50	50	NUM
ejpam-5803	677	7	68	68	NUM
ejpam-5803	677	8	1	1	NUM
ejpam-5803	677	9	.	.	PUNCT
ejpam-5803	677	10	41	41	NUM
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ejpam-5803	677	12	10	10	NUM
ejpam-5803	677	13	73	73	NUM
ejpam-5803	677	14	39	39	NUM
ejpam-5803	677	15	58	58	NUM
ejpam-5803	677	16	68	68	NUM
ejpam-5803	677	17	8	8	NUM
ejpam-5803	677	18	.	.	PUNCT
ejpam-5803	677	19	00	00	NUM
ejpam-5803	677	20	00	00	NUM
ejpam-5803	678	1	45	45	NUM
ejpam-5803	678	2	07	07	NUM
ejpam-5803	678	3	08	08	NUM
ejpam-5803	678	4	44	44	NUM
ejpam-5803	678	5	0e	0e	NOUN
ejpam-5803	678	6	-1	-1	PUNCT
ejpam-5803	679	1	2	2	NUM
ejpam-5803	679	2	0	0	NUM
ejpam-5803	679	3	.	.	NOUN
ejpam-5803	679	4	03	03	NUM
ejpam-5803	679	5	5	5	NUM
ejpam-5803	679	6	1	1	NUM
ejpam-5803	679	7	.	.	PUNCT
ejpam-5803	680	1	41	41	NUM
ejpam-5803	680	2	33	33	NUM
ejpam-5803	680	3	47	47	NUM
ejpam-5803	680	4	79	79	NUM
ejpam-5803	680	5	84	84	NUM
ejpam-5803	680	6	71	71	NUM
ejpam-5803	680	7	88	88	NUM
ejpam-5803	680	8	1	1	NUM
ejpam-5803	680	9	.	.	PUNCT
ejpam-5803	681	1	41	41	NUM
ejpam-5803	681	2	33	33	NUM
ejpam-5803	681	3	48	48	NUM
ejpam-5803	681	4	54	54	NUM
ejpam-5803	681	5	89	89	NUM
ejpam-5803	681	6	01	01	NUM
ejpam-5803	681	7	56	56	NUM
ejpam-5803	681	8	7	7	NUM
ejpam-5803	681	9	.	.	X
ejpam-5803	681	10	50	50	NUM
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ejpam-5803	681	12	96	96	NUM
ejpam-5803	681	13	85	85	NUM
ejpam-5803	681	14	05	05	NUM
ejpam-5803	681	15	91	91	NUM
ejpam-5803	681	16	2e	2e	NOUN
ejpam-5803	681	17	-0	-0	NOUN
ejpam-5803	681	18	7	7	NUM
ejpam-5803	681	19	0	0	NUM
ejpam-5803	681	20	.	.	PUNCT
ejpam-5803	681	21	00	00	NUM
ejpam-5803	682	1	3	3	NUM
ejpam-5803	682	2	1	1	NUM
ejpam-5803	682	3	.	.	PUNCT
ejpam-5803	683	1	41	41	NUM
ejpam-5803	683	2	42	42	NUM
ejpam-5803	683	3	07	07	NUM
ejpam-5803	683	4	19	19	NUM
ejpam-5803	683	5	84	84	NUM
ejpam-5803	683	6	35	35	NUM
ejpam-5803	683	7	93	93	NUM
ejpam-5803	683	8	1	1	NUM
ejpam-5803	683	9	.	.	PUNCT
ejpam-5803	684	1	41	41	NUM
ejpam-5803	684	2	42	42	NUM
ejpam-5803	684	3	07	07	NUM
ejpam-5803	684	4	19	19	NUM
ejpam-5803	684	5	84	84	NUM
ejpam-5803	684	6	76	76	NUM
ejpam-5803	684	7	43	43	NUM
ejpam-5803	684	8	4	4	NUM
ejpam-5803	684	9	.	.	PUNCT
ejpam-5803	685	1	05	05	NUM
ejpam-5803	685	2	00	00	NUM
ejpam-5803	685	3	04	04	NUM
ejpam-5803	686	1	77	77	NUM
ejpam-5803	686	2	59	59	NUM
ejpam-5803	686	3	90	90	NUM
ejpam-5803	686	4	6e	6e	NUM
ejpam-5803	686	5	-1	-1	ADP
ejpam-5803	686	6	1	1	NUM
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ejpam-5803	695	42	.	.	PUNCT
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ejpam-5803	708	41	-0	-0	PUNCT
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ejpam-5803	709	4	.	.	PUNCT
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ejpam-5803	714	106	5e	5e	NOUN
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ejpam-5803	714	108	6	6	NUM
ejpam-5803	714	109	0	0	NUM
ejpam-5803	714	110	.	.	PUNCT
ejpam-5803	714	111	01	01	NUM
ejpam-5803	714	112	7	7	NUM
ejpam-5803	714	113	1	1	NUM
ejpam-5803	714	114	.	.	PUNCT
ejpam-5803	714	115	41	41	NUM
ejpam-5803	714	116	40	40	NUM
ejpam-5803	714	117	09	09	NUM
ejpam-5803	714	118	23	23	NUM
ejpam-5803	714	119	31	31	NUM
ejpam-5803	714	120	18	18	NUM
ejpam-5803	714	121	05	05	NUM
ejpam-5803	714	122	1	1	NUM
ejpam-5803	714	123	.	.	NUM
ejpam-5803	714	124	41	41	NUM
ejpam-5803	714	125	40	40	NUM
ejpam-5803	714	126	09	09	NUM
ejpam-5803	714	127	27	27	NUM
ejpam-5803	714	128	48	48	NUM
ejpam-5803	714	129	80	80	NUM
ejpam-5803	714	130	09	09	NUM
ejpam-5803	714	131	4	4	NUM
ejpam-5803	714	132	.	.	PUNCT
ejpam-5803	714	133	17	17	NUM
ejpam-5803	714	134	62	62	NUM
ejpam-5803	714	135	03	03	NUM
ejpam-5803	714	136	96	96	NUM
ejpam-5803	714	137	04	04	NUM
ejpam-5803	714	138	26	26	NUM
ejpam-5803	714	139	5e	5e	NOUN
ejpam-5803	714	140	-0	-0	NOUN
ejpam-5803	714	141	8	8	NUM
ejpam-5803	714	142	0	0	NUM
ejpam-5803	714	143	.	.	PUNCT
ejpam-5803	714	144	05	05	NUM
ejpam-5803	715	1	1	1	NUM
ejpam-5803	715	2	.	.	X
ejpam-5803	716	1	41	41	NUM
ejpam-5803	716	2	24	24	NUM
ejpam-5803	716	3	47	47	NUM
ejpam-5803	716	4	63	63	NUM
ejpam-5803	716	5	49	49	NUM
ejpam-5803	716	6	73	73	NUM
ejpam-5803	716	7	82	82	NUM
ejpam-5803	716	8	1	1	NUM
ejpam-5803	716	9	.	.	PUNCT
ejpam-5803	716	10	41	41	NUM
ejpam-5803	716	11	24	24	NUM
ejpam-5803	716	12	50	50	NUM
ejpam-5803	716	13	76	76	NUM
ejpam-5803	716	14	09	09	NUM
ejpam-5803	716	15	68	68	NUM
ejpam-5803	716	16	91	91	NUM
ejpam-5803	716	17	3	3	NUM
ejpam-5803	716	18	.	.	NOUN
ejpam-5803	716	19	12	12	NUM
ejpam-5803	716	20	59	59	NUM
ejpam-5803	716	21	95	95	NUM
ejpam-5803	716	22	09	09	NUM
ejpam-5803	716	23	05	05	NUM
ejpam-5803	716	24	58	58	NUM
ejpam-5803	716	25	2e	2e	NOUN
ejpam-5803	716	26	-0	-0	PUNCT
ejpam-5803	716	27	6	6	NUM
ejpam-5803	716	28	0	0	NUM
ejpam-5803	716	29	.	.	PUNCT
ejpam-5803	716	30	01	01	NUM
ejpam-5803	716	31	8	8	NUM
ejpam-5803	716	32	1	1	NUM
ejpam-5803	716	33	.	.	PUNCT
ejpam-5803	716	34	41	41	NUM
ejpam-5803	716	35	39	39	NUM
ejpam-5803	716	36	84	84	NUM
ejpam-5803	716	37	49	49	NUM
ejpam-5803	716	38	07	07	NUM
ejpam-5803	716	39	00	00	NUM
ejpam-5803	716	40	77	77	NUM
ejpam-5803	716	41	1	1	NUM
ejpam-5803	716	42	.	.	PUNCT
ejpam-5803	716	43	41	41	NUM
ejpam-5803	716	44	39	39	NUM
ejpam-5803	716	45	84	84	NUM
ejpam-5803	716	46	54	54	NUM
ejpam-5803	716	47	31	31	NUM
ejpam-5803	716	48	90	90	NUM
ejpam-5803	716	49	94	94	NUM
ejpam-5803	716	50	5	5	NUM
ejpam-5803	716	51	.	.	NUM
ejpam-5803	716	52	24	24	NUM
ejpam-5803	716	53	90	90	NUM
ejpam-5803	716	54	16	16	NUM
ejpam-5803	716	55	97	97	NUM
ejpam-5803	716	56	66	66	NUM
ejpam-5803	716	57	27	27	NUM
ejpam-5803	716	58	3e	3e	NOUN
ejpam-5803	716	59	-0	-0	NOUN
ejpam-5803	716	60	8	8	NUM
ejpam-5803	716	61	0	0	NUM
ejpam-5803	716	62	.	.	PUNCT
ejpam-5803	717	1	05	05	NUM
ejpam-5803	717	2	1	1	NUM
ejpam-5803	717	3	1	1	NUM
ejpam-5803	717	4	.	.	PUNCT
ejpam-5803	718	1	41	41	NUM
ejpam-5803	718	2	23	23	NUM
ejpam-5803	718	3	76	76	NUM
ejpam-5803	718	4	36	36	NUM
ejpam-5803	718	5	87	87	NUM
ejpam-5803	718	6	45	45	NUM
ejpam-5803	718	7	60	60	NUM
ejpam-5803	718	8	1	1	NUM
ejpam-5803	718	9	.	.	PUNCT
ejpam-5803	719	1	41	41	NUM
ejpam-5803	719	2	23	23	NUM
ejpam-5803	719	3	79	79	NUM
ejpam-5803	719	4	75	75	NUM
ejpam-5803	719	5	24	24	NUM
ejpam-5803	719	6	66	66	NUM
ejpam-5803	719	7	65	65	NUM
ejpam-5803	719	8	3	3	NUM
ejpam-5803	719	9	.	.	X
ejpam-5803	719	10	38	38	NUM
ejpam-5803	719	11	37	37	NUM
ejpam-5803	719	12	21	21	NUM
ejpam-5803	719	13	04	04	NUM
ejpam-5803	719	14	73	73	NUM
ejpam-5803	719	15	56	56	NUM
ejpam-5803	719	16	4e	4e	NOUN
ejpam-5803	719	17	-0	-0	PUNCT
ejpam-5803	719	18	6	6	NUM
ejpam-5803	719	19	0	0	NUM
ejpam-5803	719	20	.	.	PUNCT
ejpam-5803	719	21	01	01	NUM
ejpam-5803	719	22	9	9	NUM
ejpam-5803	719	23	1	1	NUM
ejpam-5803	719	24	.	.	PUNCT
ejpam-5803	720	1	41	41	NUM
ejpam-5803	720	2	39	39	NUM
ejpam-5803	720	3	58	58	NUM
ejpam-5803	720	4	33	33	NUM
ejpam-5803	720	5	52	52	NUM
ejpam-5803	720	6	15	15	NUM
ejpam-5803	720	7	64	64	NUM
ejpam-5803	720	8	1	1	NUM
ejpam-5803	720	9	.	.	PUNCT
ejpam-5803	721	1	41	41	NUM
ejpam-5803	721	2	39	39	NUM
ejpam-5803	721	3	58	58	NUM
ejpam-5803	721	4	40	40	NUM
ejpam-5803	721	5	03	03	NUM
ejpam-5803	721	6	79	79	NUM
ejpam-5803	721	7	14	14	NUM
ejpam-5803	721	8	6	6	NUM
ejpam-5803	721	9	.	.	PUNCT
ejpam-5803	722	1	51	51	NUM
ejpam-5803	722	2	63	63	NUM
ejpam-5803	722	3	50	50	NUM
ejpam-5803	722	4	10	10	NUM
ejpam-5803	722	5	39	39	NUM
ejpam-5803	722	6	57	57	NUM
ejpam-5803	722	7	8e	8e	NUM
ejpam-5803	722	8	-0	-0	NOUN
ejpam-5803	722	9	8	8	NUM
ejpam-5803	722	10	0	0	NUM
ejpam-5803	722	11	.	.	PUNCT
ejpam-5803	723	1	05	05	NUM
ejpam-5803	723	2	2	2	NUM
ejpam-5803	723	3	1	1	NUM
ejpam-5803	723	4	.	.	PUNCT
ejpam-5803	724	1	41	41	NUM
ejpam-5803	724	2	23	23	NUM
ejpam-5803	724	3	03	03	NUM
ejpam-5803	724	4	69	69	NUM
ejpam-5803	724	5	74	74	NUM
ejpam-5803	724	6	76	76	NUM
ejpam-5803	724	7	06	06	NUM
ejpam-5803	724	8	1	1	NUM
ejpam-5803	724	9	.	.	PUNCT
ejpam-5803	725	1	41	41	NUM
ejpam-5803	725	2	23	23	NUM
ejpam-5803	725	3	07	07	NUM
ejpam-5803	725	4	35	35	NUM
ejpam-5803	725	5	45	45	NUM
ejpam-5803	725	6	42	42	NUM
ejpam-5803	725	7	97	97	NUM
ejpam-5803	725	8	3	3	NUM
ejpam-5803	725	9	.	.	PUNCT
ejpam-5803	725	10	65	65	NUM
ejpam-5803	725	11	70	70	NUM
ejpam-5803	725	12	66	66	NUM
ejpam-5803	725	13	91	91	NUM
ejpam-5803	725	14	15	15	NUM
ejpam-5803	725	15	22	22	NUM
ejpam-5803	725	16	1e	1e	NOUN
ejpam-5803	725	17	-0	-0	NOUN
ejpam-5803	725	18	6	6	NUM
ejpam-5803	725	19	0	0	NUM
ejpam-5803	725	20	.	.	PUNCT
ejpam-5803	726	1	02	02	NUM
ejpam-5803	726	2	1	1	NUM
ejpam-5803	726	3	.	.	PUNCT
ejpam-5803	727	1	41	41	NUM
ejpam-5803	727	2	39	39	NUM
ejpam-5803	727	3	30	30	NUM
ejpam-5803	727	4	76	76	NUM
ejpam-5803	727	5	67	67	NUM
ejpam-5803	727	6	93	93	NUM
ejpam-5803	727	7	41	41	NUM
ejpam-5803	727	8	1	1	NUM
ejpam-5803	727	9	.	.	PUNCT
ejpam-5803	728	1	41	41	NUM
ejpam-5803	728	2	39	39	NUM
ejpam-5803	728	3	30	30	NUM
ejpam-5803	728	4	84	84	NUM
ejpam-5803	728	5	67	67	NUM
ejpam-5803	728	6	97	97	NUM
ejpam-5803	728	7	49	49	NUM
ejpam-5803	728	8	8	8	NUM
ejpam-5803	728	9	.	.	PUNCT
ejpam-5803	728	10	00	00	NUM
ejpam-5803	729	1	04	04	NUM
ejpam-5803	730	1	08	08	NUM
ejpam-5803	730	2	22	22	NUM
ejpam-5803	730	3	47	47	NUM
ejpam-5803	730	4	95	95	NUM
ejpam-5803	730	5	3e	3e	NOUN
ejpam-5803	730	6	-0	-0	NOUN
ejpam-5803	730	7	8	8	NUM
ejpam-5803	730	8	0	0	NUM
ejpam-5803	730	9	.	.	PUNCT
ejpam-5803	731	1	05	05	NUM
ejpam-5803	731	2	3	3	NUM
ejpam-5803	731	3	1	1	NUM
ejpam-5803	731	4	.	.	PUNCT
ejpam-5803	732	1	41	41	NUM
ejpam-5803	732	2	22	22	NUM
ejpam-5803	732	3	29	29	NUM
ejpam-5803	732	4	62	62	NUM
ejpam-5803	732	5	15	15	NUM
ejpam-5803	732	6	27	27	NUM
ejpam-5803	732	7	39	39	NUM
ejpam-5803	732	8	1	1	NUM
ejpam-5803	732	9	.	.	PUNCT
ejpam-5803	732	10	41	41	NUM
ejpam-5803	732	11	22	22	NUM
ejpam-5803	732	12	33	33	NUM
ejpam-5803	732	13	56	56	NUM
ejpam-5803	732	14	81	81	NUM
ejpam-5803	732	15	79	79	NUM
ejpam-5803	732	16	12	12	NUM
ejpam-5803	732	17	3	3	NUM
ejpam-5803	732	18	.	.	X
ejpam-5803	732	19	94	94	NUM
ejpam-5803	733	1	66	66	NUM
ejpam-5803	733	2	51	51	NUM
ejpam-5803	733	3	72	72	NUM
ejpam-5803	733	4	29	29	NUM
ejpam-5803	733	5	85	85	NUM
ejpam-5803	733	6	8e	8e	NUM
ejpam-5803	733	7	-0	-0	NOUN
ejpam-5803	733	8	6	6	NUM
ejpam-5803	733	9	0	0	NUM
ejpam-5803	733	10	.	.	PUNCT
ejpam-5803	734	1	02	02	NUM
ejpam-5803	734	2	1	1	NUM
ejpam-5803	734	3	1	1	NUM
ejpam-5803	734	4	.	.	PUNCT
ejpam-5803	735	1	41	41	NUM
ejpam-5803	735	2	39	39	NUM
ejpam-5803	735	3	01	01	NUM
ejpam-5803	735	4	78	78	NUM
ejpam-5803	735	5	55	55	NUM
ejpam-5803	735	6	71	71	NUM
ejpam-5803	735	7	83	83	NUM
ejpam-5803	735	8	1	1	NUM
ejpam-5803	735	9	.	.	PUNCT
ejpam-5803	736	1	41	41	NUM
ejpam-5803	736	2	39	39	NUM
ejpam-5803	736	3	01	01	NUM
ejpam-5803	736	4	88	88	NUM
ejpam-5803	736	5	28	28	NUM
ejpam-5803	736	6	17	17	NUM
ejpam-5803	736	7	80	80	NUM
ejpam-5803	736	8	9	9	NUM
ejpam-5803	736	9	.	.	X
ejpam-5803	736	10	72	72	NUM
ejpam-5803	736	11	45	45	NUM
ejpam-5803	736	12	97	97	NUM
ejpam-5803	736	13	06	06	NUM
ejpam-5803	736	14	09	09	NUM
ejpam-5803	736	15	45	45	NUM
ejpam-5803	736	16	0e	0e	NOUN
ejpam-5803	736	17	-0	-0	PUNCT
ejpam-5803	736	18	8	8	NUM
ejpam-5803	736	19	0	0	NUM
ejpam-5803	736	20	.	.	PUNCT
ejpam-5803	737	1	05	05	NUM
ejpam-5803	737	2	4	4	NUM
ejpam-5803	737	3	1	1	NUM
ejpam-5803	737	4	.	.	PUNCT
ejpam-5803	738	1	41	41	NUM
ejpam-5803	738	2	21	21	NUM
ejpam-5803	738	3	54	54	NUM
ejpam-5803	738	4	14	14	NUM
ejpam-5803	738	5	12	12	NUM
ejpam-5803	738	6	68	68	NUM
ejpam-5803	738	7	75	75	NUM
ejpam-5803	738	8	1	1	NUM
ejpam-5803	738	9	.	.	PUNCT
ejpam-5803	739	1	41	41	NUM
ejpam-5803	739	2	21	21	NUM
ejpam-5803	739	3	58	58	NUM
ejpam-5803	739	4	39	39	NUM
ejpam-5803	739	5	43	43	NUM
ejpam-5803	739	6	75	75	NUM
ejpam-5803	739	7	34	34	NUM
ejpam-5803	739	8	4	4	NUM
ejpam-5803	739	9	.	.	PUNCT
ejpam-5803	739	10	25	25	NUM
ejpam-5803	739	11	31	31	NUM
ejpam-5803	739	12	06	06	NUM
ejpam-5803	739	13	58	58	NUM
ejpam-5803	739	14	35	35	NUM
ejpam-5803	739	15	84	84	NUM
ejpam-5803	739	16	9e	9e	NOUN
ejpam-5803	739	17	-0	-0	NOUN
ejpam-5803	739	18	6	6	NUM
ejpam-5803	739	19	0	0	NUM
ejpam-5803	739	20	.	.	PUNCT
ejpam-5803	740	1	02	02	NUM
ejpam-5803	740	2	2	2	NUM
ejpam-5803	740	3	1	1	NUM
ejpam-5803	740	4	.	.	PUNCT
ejpam-5803	741	1	41	41	NUM
ejpam-5803	741	2	38	38	NUM
ejpam-5803	741	3	71	71	NUM
ejpam-5803	741	4	39	39	NUM
ejpam-5803	741	5	16	16	NUM
ejpam-5803	741	6	95	95	NUM
ejpam-5803	741	7	75	75	NUM
ejpam-5803	741	8	1	1	NUM
ejpam-5803	741	9	.	.	PUNCT
ejpam-5803	742	1	41	41	NUM
ejpam-5803	742	2	38	38	NUM
ejpam-5803	742	3	71	71	NUM
ejpam-5803	742	4	50	50	NUM
ejpam-5803	742	5	88	88	NUM
ejpam-5803	742	6	30	30	NUM
ejpam-5803	742	7	99	99	NUM
ejpam-5803	742	8	1	1	NUM
ejpam-5803	742	9	.	.	NUM
ejpam-5803	742	10	17	17	NUM
ejpam-5803	742	11	13	13	NUM
ejpam-5803	742	12	52	52	NUM
ejpam-5803	742	13	31	31	NUM
ejpam-5803	742	14	95	95	NUM
ejpam-5803	742	15	84	84	NUM
ejpam-5803	742	16	4e	4e	NOUN
ejpam-5803	742	17	-0	-0	PUNCT
ejpam-5803	742	18	7	7	NUM
ejpam-5803	742	19	0	0	NUM
ejpam-5803	742	20	.	.	PUNCT
ejpam-5803	743	1	05	05	NUM
ejpam-5803	743	2	5	5	NUM
ejpam-5803	743	3	1	1	NUM
ejpam-5803	743	4	.	.	PUNCT
ejpam-5803	743	5	41	41	NUM
ejpam-5803	743	6	20	20	NUM
ejpam-5803	743	7	77	77	NUM
ejpam-5803	743	8	25	25	NUM
ejpam-5803	743	9	70	70	NUM
ejpam-5803	743	10	76	76	NUM
ejpam-5803	743	11	25	25	NUM
ejpam-5803	743	12	1	1	NUM
ejpam-5803	743	13	.	.	PUNCT
ejpam-5803	743	14	41	41	NUM
ejpam-5803	743	15	20	20	NUM
ejpam-5803	743	16	81	81	NUM
ejpam-5803	743	17	83	83	NUM
ejpam-5803	743	18	41	41	NUM
ejpam-5803	743	19	50	50	NUM
ejpam-5803	743	20	91	91	NUM
ejpam-5803	743	21	4	4	NUM
ejpam-5803	743	22	.	.	PUNCT
ejpam-5803	743	23	57	57	NUM
ejpam-5803	743	24	70	70	NUM
ejpam-5803	743	25	74	74	NUM
ejpam-5803	743	26	65	65	NUM
ejpam-5803	743	27	92	92	NUM
ejpam-5803	743	28	84	84	NUM
ejpam-5803	743	29	4e	4e	NOUN
ejpam-5803	743	30	-0	-0	NOUN
ejpam-5803	743	31	6	6	NUM
ejpam-5803	743	32	0	0	NUM
ejpam-5803	743	33	.	.	PUNCT
ejpam-5803	743	34	02	02	NUM
ejpam-5803	743	35	3	3	NUM
ejpam-5803	743	36	1	1	NUM
ejpam-5803	743	37	.	.	PUNCT
ejpam-5803	744	1	41	41	NUM
ejpam-5803	744	2	38	38	NUM
ejpam-5803	744	3	39	39	NUM
ejpam-5803	744	4	58	58	NUM
ejpam-5803	744	5	53	53	NUM
ejpam-5803	744	6	17	17	NUM
ejpam-5803	744	7	06	06	NUM
ejpam-5803	744	8	1	1	NUM
ejpam-5803	744	9	.	.	PUNCT
ejpam-5803	745	1	41	41	NUM
ejpam-5803	745	2	38	38	NUM
ejpam-5803	745	3	39	39	NUM
ejpam-5803	745	4	72	72	NUM
ejpam-5803	745	5	52	52	NUM
ejpam-5803	745	6	47	47	NUM
ejpam-5803	745	7	00	00	NUM
ejpam-5803	745	8	1	1	NUM
ejpam-5803	745	9	.	.	X
ejpam-5803	745	10	39	39	NUM
ejpam-5803	745	11	92	92	NUM
ejpam-5803	745	12	99	99	NUM
ejpam-5803	745	13	42	42	NUM
ejpam-5803	745	14	07	07	NUM
ejpam-5803	745	15	79	79	NUM
ejpam-5803	745	16	0e	0e	NOUN
ejpam-5803	745	17	-0	-0	PUNCT
ejpam-5803	745	18	7	7	NUM
ejpam-5803	745	19	0	0	NUM
ejpam-5803	745	20	.	.	PUNCT
ejpam-5803	746	1	05	05	NUM
ejpam-5803	746	2	6	6	NUM
ejpam-5803	746	3	1	1	NUM
ejpam-5803	746	4	.	.	PUNCT
ejpam-5803	747	1	41	41	NUM
ejpam-5803	747	2	19	19	NUM
ejpam-5803	747	3	98	98	NUM
ejpam-5803	747	4	96	96	NUM
ejpam-5803	747	5	93	93	NUM
ejpam-5803	747	6	32	32	NUM
ejpam-5803	747	7	94	94	NUM
ejpam-5803	747	8	1	1	NUM
ejpam-5803	747	9	.	.	PUNCT
ejpam-5803	747	10	41	41	NUM
ejpam-5803	747	11	20	20	NUM
ejpam-5803	747	12	03	03	NUM
ejpam-5803	747	13	88	88	NUM
ejpam-5803	747	14	85	85	NUM
ejpam-5803	747	15	44	44	NUM
ejpam-5803	747	16	12	12	NUM
ejpam-5803	747	17	4	4	NUM
ejpam-5803	747	18	.	.	PUNCT
ejpam-5803	747	19	91	91	NUM
ejpam-5803	747	20	92	92	NUM
ejpam-5803	747	21	11	11	NUM
ejpam-5803	747	22	18	18	NUM
ejpam-5803	747	23	17	17	NUM
ejpam-5803	747	24	30	30	NUM
ejpam-5803	747	25	9e	9e	NOUN
ejpam-5803	747	26	-0	-0	NOUN
ejpam-5803	747	27	6	6	NUM
ejpam-5803	747	28	0	0	NUM
ejpam-5803	747	29	.	.	PUNCT
ejpam-5803	747	30	02	02	NUM
ejpam-5803	747	31	4	4	NUM
ejpam-5803	747	32	1	1	NUM
ejpam-5803	747	33	.	.	PUNCT
ejpam-5803	747	34	41	41	NUM
ejpam-5803	747	35	38	38	NUM
ejpam-5803	747	36	06	06	NUM
ejpam-5803	747	37	36	36	NUM
ejpam-5803	747	38	65	65	NUM
ejpam-5803	747	39	94	94	NUM
ejpam-5803	747	40	68	68	NUM
ejpam-5803	747	41	1	1	NUM
ejpam-5803	747	42	.	.	PUNCT
ejpam-5803	747	43	41	41	NUM
ejpam-5803	747	44	38	38	NUM
ejpam-5803	747	45	06	06	NUM
ejpam-5803	747	46	53	53	NUM
ejpam-5803	747	47	24	24	NUM
ejpam-5803	747	48	94	94	NUM
ejpam-5803	747	49	87	87	NUM
ejpam-5803	747	50	1	1	NUM
ejpam-5803	747	51	.	.	PUNCT
ejpam-5803	747	52	65	65	NUM
ejpam-5803	747	53	90	90	NUM
ejpam-5803	747	54	01	01	NUM
ejpam-5803	747	55	88	88	NUM
ejpam-5803	747	56	47	47	NUM
ejpam-5803	747	57	57	57	NUM
ejpam-5803	747	58	3e	3e	NOUN
ejpam-5803	747	59	-0	-0	NOUN
ejpam-5803	747	60	7	7	NUM
ejpam-5803	747	61	0	0	NUM
ejpam-5803	747	62	.	.	PUNCT
ejpam-5803	748	1	05	05	NUM
ejpam-5803	748	2	7	7	NUM
ejpam-5803	748	3	1	1	NUM
ejpam-5803	748	4	.	.	PUNCT
ejpam-5803	749	1	41	41	NUM
ejpam-5803	749	2	19	19	NUM
ejpam-5803	749	3	19	19	NUM
ejpam-5803	749	4	27	27	NUM
ejpam-5803	749	5	84	84	NUM
ejpam-5803	749	6	28	28	NUM
ejpam-5803	749	7	81	81	NUM
ejpam-5803	749	8	1	1	NUM
ejpam-5803	749	9	.	.	PUNCT
ejpam-5803	750	1	41	41	NUM
ejpam-5803	750	2	19	19	NUM
ejpam-5803	750	3	24	24	NUM
ejpam-5803	750	4	55	55	NUM
ejpam-5803	750	5	86	86	NUM
ejpam-5803	750	6	12	12	NUM
ejpam-5803	750	7	26	26	NUM
ejpam-5803	750	8	5	5	NUM
ejpam-5803	750	9	.	.	PUNCT
ejpam-5803	750	10	28	28	NUM
ejpam-5803	750	11	01	01	NUM
ejpam-5803	750	12	83	83	NUM
ejpam-5803	750	13	45	45	NUM
ejpam-5803	750	14	15	15	NUM
ejpam-5803	750	15	83	83	NUM
ejpam-5803	750	16	7e	7e	NUM
ejpam-5803	750	17	-0	-0	PUNCT
ejpam-5803	750	18	6	6	NUM
ejpam-5803	750	19	0	0	NUM
ejpam-5803	750	20	.	.	PUNCT
ejpam-5803	750	21	02	02	NUM
ejpam-5803	750	22	5	5	NUM
ejpam-5803	750	23	1	1	NUM
ejpam-5803	750	24	.	.	PUNCT
ejpam-5803	750	25	41	41	NUM
ejpam-5803	750	26	37	37	NUM
ejpam-5803	750	27	71	71	NUM
ejpam-5803	750	28	73	73	NUM
ejpam-5803	750	29	56	56	NUM
ejpam-5803	750	30	94	94	NUM
ejpam-5803	750	31	60	60	NUM
ejpam-5803	750	32	1	1	NUM
ejpam-5803	750	33	.	.	PUNCT
ejpam-5803	750	34	41	41	NUM
ejpam-5803	750	35	37	37	NUM
ejpam-5803	750	36	71	71	NUM
ejpam-5803	750	37	93	93	NUM
ejpam-5803	750	38	10	10	NUM
ejpam-5803	750	39	22	22	NUM
ejpam-5803	750	40	67	67	NUM
ejpam-5803	750	41	1	1	NUM
ejpam-5803	750	42	.	.	PUNCT
ejpam-5803	750	43	95	95	NUM
ejpam-5803	750	44	32	32	NUM
ejpam-5803	750	45	80	80	NUM
ejpam-5803	750	46	70	70	NUM
ejpam-5803	750	47	60	60	NUM
ejpam-5803	750	48	68	68	NUM
ejpam-5803	750	49	5e	5e	NOUN
ejpam-5803	750	50	-0	-0	NOUN
ejpam-5803	750	51	7	7	NUM
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ejpam-5803	750	53	.	.	PUNCT
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ejpam-5803	751	3	1	1	NUM
ejpam-5803	751	4	.	.	PUNCT
ejpam-5803	751	5	41	41	NUM
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ejpam-5803	751	7	38	38	NUM
ejpam-5803	751	8	18	18	NUM
ejpam-5803	751	9	47	47	NUM
ejpam-5803	751	10	60	60	NUM
ejpam-5803	751	11	79	79	NUM
ejpam-5803	751	12	1	1	NUM
ejpam-5803	751	13	.	.	PUNCT
ejpam-5803	752	1	41	41	NUM
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ejpam-5803	752	3	43	43	NUM
ejpam-5803	752	4	84	84	NUM
ejpam-5803	752	5	54	54	NUM
ejpam-5803	752	6	31	31	NUM
ejpam-5803	752	7	63	63	NUM
ejpam-5803	752	8	5	5	NUM
ejpam-5803	752	9	.	.	PUNCT
ejpam-5803	753	1	66	66	NUM
ejpam-5803	753	2	06	06	NUM
ejpam-5803	753	3	70	70	NUM
ejpam-5803	753	4	84	84	NUM
ejpam-5803	753	5	11	11	NUM
ejpam-5803	753	6	78	78	NUM
ejpam-5803	753	7	8e	8e	NUM
ejpam-5803	753	8	-0	-0	NOUN
ejpam-5803	753	9	6	6	NUM
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ejpam-5803	753	11	.	.	PUNCT
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ejpam-5803	754	2	6	6	NUM
ejpam-5803	754	3	1	1	NUM
ejpam-5803	754	4	.	.	PUNCT
ejpam-5803	755	1	41	41	NUM
ejpam-5803	755	2	37	37	NUM
ejpam-5803	755	3	35	35	NUM
ejpam-5803	755	4	69	69	NUM
ejpam-5803	755	5	27	27	NUM
ejpam-5803	755	6	89	89	NUM
ejpam-5803	755	7	86	86	NUM
ejpam-5803	755	8	1	1	NUM
ejpam-5803	755	9	.	.	PUNCT
ejpam-5803	756	1	41	41	NUM
ejpam-5803	756	2	37	37	NUM
ejpam-5803	756	3	35	35	NUM
ejpam-5803	756	4	92	92	NUM
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ejpam-5803	756	6	97	97	NUM
ejpam-5803	756	7	56	56	NUM
ejpam-5803	756	8	2	2	NUM
ejpam-5803	756	9	.	.	SYM
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ejpam-5803	756	17	-0	-0	PUNCT
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ejpam-5803	756	20	.	.	PUNCT
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ejpam-5803	757	3	1	1	NUM
ejpam-5803	757	4	.	.	PUNCT
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ejpam-5803	758	9	.	.	PUNCT
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ejpam-5803	759	7	55	55	NUM
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ejpam-5803	759	9	.	.	PUNCT
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ejpam-5803	759	17	-0	-0	NOUN
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ejpam-5803	759	20	.	.	PUNCT
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ejpam-5803	760	4	.	.	PUNCT
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ejpam-5803	762	8	.	.	PUNCT
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ejpam-5803	762	22	50	50	NUM
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ejpam-5803	762	24	1e	1e	NOUN
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ejpam-5803	762	28	.	.	PUNCT
ejpam-5803	762	29	06	06	NUM
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ejpam-5803	763	2	.	.	X
ejpam-5803	764	1	41	41	NUM
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ejpam-5803	764	6	55	55	NUM
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ejpam-5803	764	9	.	.	PUNCT
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ejpam-5803	765	7	32	32	NUM
ejpam-5803	765	8	6	6	NUM
ejpam-5803	765	9	.	.	PUNCT
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ejpam-5803	766	3	68	68	NUM
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ejpam-5803	766	7	1e	1e	NOUN
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ejpam-5803	766	11	.	.	PUNCT
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ejpam-5803	767	4	.	.	PUNCT
ejpam-5803	768	1	41	41	NUM
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ejpam-5803	768	9	.	.	PUNCT
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ejpam-5803	768	25	1e	1e	NOUN
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ejpam-5803	768	33	.	.	PUNCT
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ejpam-5803	768	42	.	.	PUNCT
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ejpam-5803	768	46	41	41	NUM
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ejpam-5803	768	50	6	6	NUM
ejpam-5803	768	51	.	.	PUNCT
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ejpam-5803	769	7	5e	5e	NOUN
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ejpam-5803	769	11	.	.	PUNCT
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ejpam-5803	770	2	9	9	NUM
ejpam-5803	770	3	1	1	NUM
ejpam-5803	770	4	.	.	PUNCT
ejpam-5803	771	1	41	41	NUM
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ejpam-5803	771	4	09	09	NUM
ejpam-5803	771	5	38	38	NUM
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ejpam-5803	771	7	54	54	NUM
ejpam-5803	771	8	1	1	NUM
ejpam-5803	771	9	.	.	PUNCT
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ejpam-5803	771	13	44	44	NUM
ejpam-5803	771	14	75	75	NUM
ejpam-5803	771	15	61	61	NUM
ejpam-5803	771	16	97	97	NUM
ejpam-5803	771	17	3	3	NUM
ejpam-5803	771	18	.	.	X
ejpam-5803	771	19	53	53	NUM
ejpam-5803	771	20	67	67	NUM
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ejpam-5803	771	25	8e	8e	NUM
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ejpam-5803	771	29	.	.	PUNCT
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ejpam-5803	771	33	.	.	PUNCT
ejpam-5803	772	1	41	41	NUM
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ejpam-5803	772	4	79	79	NUM
ejpam-5803	772	5	06	06	NUM
ejpam-5803	772	6	31	31	NUM
ejpam-5803	772	7	01	01	NUM
ejpam-5803	772	8	1	1	NUM
ejpam-5803	772	9	.	.	PUNCT
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ejpam-5803	773	3	07	07	NUM
ejpam-5803	773	4	18	18	NUM
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ejpam-5803	773	8	7	7	NUM
ejpam-5803	773	9	.	.	NOUN
ejpam-5803	773	10	39	39	NUM
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ejpam-5803	773	16	1e	1e	NOUN
ejpam-5803	773	17	-0	-0	NOUN
ejpam-5803	773	18	6	6	NUM
ejpam-5803	773	19	0	0	NUM
ejpam-5803	773	20	.	.	PUNCT
ejpam-5803	773	21	03	03	NUM
ejpam-5803	773	22	1	1	NUM
ejpam-5803	773	23	.	.	X
ejpam-5803	774	1	41	41	NUM
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ejpam-5803	774	3	77	77	NUM
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