id	sid	tid	token	lemma	pos
ejpam-6030	1	1	european	european	PROPN
ejpam-6030	1	2	journal	journal	PROPN
ejpam-6030	1	3	of	of	ADP
ejpam-6030	1	4	pure	pure	ADJ
ejpam-6030	1	5	and	and	CCONJ
ejpam-6030	1	6	applied	applied	ADJ
ejpam-6030	1	7	mathematics	mathematic	NOUN
ejpam-6030	1	8	2025	2025	NUM
ejpam-6030	1	9	,	,	PUNCT
ejpam-6030	1	10	vol	vol	NOUN
ejpam-6030	1	11	.	.	PROPN
ejpam-6030	1	12	18	18	NUM
ejpam-6030	1	13	,	,	PUNCT
ejpam-6030	1	14	issue	issue	NOUN
ejpam-6030	1	15	3	3	NUM
ejpam-6030	1	16	,	,	PUNCT
ejpam-6030	1	17	article	article	NOUN
ejpam-6030	1	18	number	number	NOUN
ejpam-6030	1	19	6030	6030	NUM
ejpam-6030	1	20	issn	issn	PROPN
ejpam-6030	1	21	1307	1307	NUM
ejpam-6030	1	22	-	-	SYM
ejpam-6030	1	23	5543	5543	NUM
ejpam-6030	1	24	–	–	PUNCT
ejpam-6030	1	25	ejpam.com	ejpam.com	X
ejpam-6030	1	26	published	publish	VERB
ejpam-6030	1	27	by	by	ADP
ejpam-6030	1	28	new	new	PROPN
ejpam-6030	1	29	york	york	PROPN
ejpam-6030	1	30	business	business	PROPN
ejpam-6030	1	31	global	global	ADJ
ejpam-6030	1	32	symmetries	symmetry	NOUN
ejpam-6030	1	33	and	and	CCONJ
ejpam-6030	1	34	novel	novel	ADJ
ejpam-6030	1	35	exact	exact	ADJ
ejpam-6030	1	36	solutions	solution	NOUN
ejpam-6030	1	37	for	for	ADP
ejpam-6030	1	38	(	(	PUNCT
ejpam-6030	1	39	2	2	NUM
ejpam-6030	1	40	+	+	NOUN
ejpam-6030	1	41	1)-d	1)-d	NUM
ejpam-6030	1	42	qzk	qzk	NOUN
ejpam-6030	1	43	equation	equation	NOUN
ejpam-6030	1	44	via	via	ADP
ejpam-6030	1	45	lie	lie	NOUN
ejpam-6030	1	46	-	-	PUNCT
ejpam-6030	1	47	symmetry	symmetry	NOUN
ejpam-6030	1	48	and	and	CCONJ
ejpam-6030	1	49	kudryashov	kudryashov	PROPN
ejpam-6030	1	50	-	-	PUNCT
ejpam-6030	1	51	auxaliry	auxaliry	PROPN
ejpam-6030	1	52	method	method	NOUN
ejpam-6030	1	53	ahmed	ahmed	PROPN
ejpam-6030	1	54	a.	a.	PROPN
ejpam-6030	1	55	gaber1,∗	gaber1,∗	PROPN
ejpam-6030	1	56	,	,	PUNCT
ejpam-6030	1	57	tawfik	tawfik	ADJ
ejpam-6030	1	58	m.	m.	NOUN
ejpam-6030	1	59	younis2	younis2	PROPN
ejpam-6030	1	60	,	,	PUNCT
ejpam-6030	1	61	mona	mona	PROPN
ejpam-6030	1	62	f.alharbi3	f.alharbi3	PROPN
ejpam-6030	1	63	1department	1department	NUM
ejpam-6030	1	64	of	of	ADP
ejpam-6030	1	65	mathematics	mathematic	NOUN
ejpam-6030	1	66	,	,	PUNCT
ejpam-6030	1	67	college	college	NOUN
ejpam-6030	1	68	of	of	ADP
ejpam-6030	1	69	science	science	PROPN
ejpam-6030	1	70	el	el	PROPN
ejpam-6030	1	71	-	-	PUNCT
ejpam-6030	1	72	zulfi	zulfi	PROPN
ejpam-6030	1	73	,	,	PUNCT
ejpam-6030	1	74	majmaah	majmaah	PROPN
ejpam-6030	1	75	university	university	PROPN
ejpam-6030	1	76	,	,	PUNCT
ejpam-6030	1	77	majmaah	majmaah	NOUN
ejpam-6030	1	78	11952	11952	NUM
ejpam-6030	1	79	,	,	PUNCT
ejpam-6030	1	80	saudi	saudi	PROPN
ejpam-6030	1	81	arabia	arabia	PROPN
ejpam-6030	1	82	2	2	NUM
ejpam-6030	1	83	department	department	NOUN
ejpam-6030	1	84	of	of	ADP
ejpam-6030	1	85	business	business	PROPN
ejpam-6030	1	86	administration	administration	PROPN
ejpam-6030	1	87	,	,	PUNCT
ejpam-6030	1	88	college	college	NOUN
ejpam-6030	1	89	of	of	ADP
ejpam-6030	1	90	business	business	PROPN
ejpam-6030	1	91	administration	administration	PROPN
ejpam-6030	1	92	,	,	PUNCT
ejpam-6030	1	93	majmaah	majmaah	PROPN
ejpam-6030	1	94	university	university	PROPN
ejpam-6030	1	95	,	,	PUNCT
ejpam-6030	1	96	majmaah	majmaah	NOUN
ejpam-6030	1	97	11952	11952	NUM
ejpam-6030	1	98	,	,	PUNCT
ejpam-6030	1	99	saudi	saudi	PROPN
ejpam-6030	1	100	arabia	arabia	PROPN
ejpam-6030	1	101	3	3	NUM
ejpam-6030	1	102	college	college	NOUN
ejpam-6030	1	103	of	of	ADP
ejpam-6030	1	104	administrative	administrative	ADJ
ejpam-6030	1	105	sciences	sciences	PROPN
ejpam-6030	1	106	and	and	CCONJ
ejpam-6030	1	107	humanities	humanity	NOUN
ejpam-6030	1	108	,	,	PUNCT
ejpam-6030	1	109	mustaqbal	mustaqbal	PROPN
ejpam-6030	1	110	university	university	PROPN
ejpam-6030	1	111	,	,	PUNCT
ejpam-6030	1	112	buraydah	buraydah	PROPN
ejpam-6030	1	113	,	,	PUNCT
ejpam-6030	1	114	saudi	saudi	PROPN
ejpam-6030	1	115	arabia	arabia	PROPN
ejpam-6030	1	116	2	2	NUM
ejpam-6030	1	117	department	department	NOUN
ejpam-6030	1	118	of	of	ADP
ejpam-6030	1	119	operations	operation	NOUN
ejpam-6030	1	120	research	research	NOUN
ejpam-6030	1	121	faculty	faculty	NOUN
ejpam-6030	1	122	of	of	ADP
ejpam-6030	1	123	graduate	graduate	ADJ
ejpam-6030	1	124	studies	study	NOUN
ejpam-6030	1	125	of	of	ADP
ejpam-6030	1	126	statistical	statistical	ADJ
ejpam-6030	1	127	research	research	NOUN
ejpam-6030	1	128	,	,	PUNCT
ejpam-6030	1	129	cairo	cairo	PROPN
ejpam-6030	1	130	university	university	PROPN
ejpam-6030	1	131	,	,	PUNCT
ejpam-6030	1	132	egypt	egypt	PROPN
ejpam-6030	1	133	abstract	abstract	PROPN
ejpam-6030	1	134	.	.	PUNCT
ejpam-6030	2	1	in	in	ADP
ejpam-6030	2	2	this	this	DET
ejpam-6030	2	3	paper	paper	NOUN
ejpam-6030	2	4	,	,	PUNCT
ejpam-6030	2	5	the	the	DET
ejpam-6030	2	6	(	(	PUNCT
ejpam-6030	2	7	2	2	NUM
ejpam-6030	2	8	+	+	SYM
ejpam-6030	2	9	1)-d	1)-d	NUM
ejpam-6030	2	10	quantum	quantum	ADJ
ejpam-6030	2	11	zakharov	zakharov	ADJ
ejpam-6030	2	12	-	-	PUNCT
ejpam-6030	2	13	kuznetsov	kuznetsov	NOUN
ejpam-6030	2	14	(	(	PUNCT
ejpam-6030	2	15	qzk	qzk	NOUN
ejpam-6030	2	16	)	)	PUNCT
ejpam-6030	2	17	equation	equation	NOUN
ejpam-6030	2	18	that	that	PRON
ejpam-6030	2	19	describes	describe	VERB
ejpam-6030	2	20	how	how	SCONJ
ejpam-6030	2	21	nonlinear	nonlinear	ADJ
ejpam-6030	2	22	ion	ion	NOUN
ejpam-6030	2	23	-	-	PUNCT
ejpam-6030	2	24	acoustic	acoustic	ADJ
ejpam-6030	2	25	waves	wave	NOUN
ejpam-6030	2	26	diffuse	diffuse	VERB
ejpam-6030	2	27	in	in	ADP
ejpam-6030	2	28	magnetized	magnetized	ADJ
ejpam-6030	2	29	plasma	plasma	NOUN
ejpam-6030	2	30	is	be	AUX
ejpam-6030	2	31	studied	study	VERB
ejpam-6030	2	32	.	.	PUNCT
ejpam-6030	3	1	firstly	firstly	ADV
ejpam-6030	3	2	,	,	PUNCT
ejpam-6030	3	3	the	the	DET
ejpam-6030	3	4	governing	govern	VERB
ejpam-6030	3	5	equation	equation	NOUN
ejpam-6030	3	6	was	be	AUX
ejpam-6030	3	7	transformed	transform	VERB
ejpam-6030	3	8	into	into	ADP
ejpam-6030	3	9	a	a	DET
ejpam-6030	3	10	number	number	NOUN
ejpam-6030	3	11	of	of	ADP
ejpam-6030	3	12	ordinary	ordinary	ADJ
ejpam-6030	3	13	differential	differential	ADJ
ejpam-6030	3	14	equations	equation	NOUN
ejpam-6030	3	15	using	use	VERB
ejpam-6030	3	16	symmetry	symmetry	NOUN
ejpam-6030	3	17	analysis	analysis	NOUN
ejpam-6030	3	18	.	.	PUNCT
ejpam-6030	4	1	after	after	ADP
ejpam-6030	4	2	that	that	PRON
ejpam-6030	4	3	,	,	PUNCT
ejpam-6030	4	4	we	we	PRON
ejpam-6030	4	5	used	use	VERB
ejpam-6030	4	6	kudryashov	kudryashov	PROPN
ejpam-6030	4	7	-	-	PUNCT
ejpam-6030	4	8	auxaliry	auxaliry	NOUN
ejpam-6030	4	9	method	method	NOUN
ejpam-6030	4	10	(	(	PUNCT
ejpam-6030	4	11	kam	kam	NOUN
ejpam-6030	4	12	)	)	PUNCT
ejpam-6030	4	13	to	to	PART
ejpam-6030	4	14	develop	develop	VERB
ejpam-6030	4	15	a	a	DET
ejpam-6030	4	16	new	new	ADJ
ejpam-6030	4	17	kind	kind	NOUN
ejpam-6030	4	18	of	of	ADP
ejpam-6030	4	19	accurate	accurate	ADJ
ejpam-6030	4	20	answers	answer	NOUN
ejpam-6030	4	21	for	for	ADP
ejpam-6030	4	22	the	the	DET
ejpam-6030	4	23	qzk	qzk	NOUN
ejpam-6030	4	24	equation	equation	NOUN
ejpam-6030	4	25	.	.	PUNCT
ejpam-6030	5	1	the	the	DET
ejpam-6030	5	2	discovered	discover	VERB
ejpam-6030	5	3	solutions	solution	NOUN
ejpam-6030	5	4	included	include	VERB
ejpam-6030	5	5	a	a	DET
ejpam-6030	5	6	number	number	NOUN
ejpam-6030	5	7	of	of	ADP
ejpam-6030	5	8	arbitrary	arbitrary	ADJ
ejpam-6030	5	9	constants	constant	NOUN
ejpam-6030	5	10	that	that	PRON
ejpam-6030	5	11	improved	improve	VERB
ejpam-6030	5	12	their	their	PRON
ejpam-6030	5	13	dynamic	dynamic	ADJ
ejpam-6030	5	14	characteristics	characteristic	NOUN
ejpam-6030	5	15	.	.	PUNCT
ejpam-6030	6	1	the	the	DET
ejpam-6030	6	2	resulting	result	VERB
ejpam-6030	6	3	solutions	solution	NOUN
ejpam-6030	6	4	represent	represent	VERB
ejpam-6030	6	5	solitary	solitary	ADJ
ejpam-6030	6	6	wave	wave	NOUN
ejpam-6030	6	7	,	,	PUNCT
ejpam-6030	6	8	single	single	ADJ
ejpam-6030	6	9	wave	wave	NOUN
ejpam-6030	6	10	,	,	PUNCT
ejpam-6030	6	11	and	and	CCONJ
ejpam-6030	6	12	multisolitons	multisoliton	NOUN
ejpam-6030	6	13	solutions	solution	NOUN
ejpam-6030	6	14	and	and	CCONJ
ejpam-6030	6	15	include	include	VERB
ejpam-6030	6	16	hyperbolic	hyperbolic	ADJ
ejpam-6030	6	17	and	and	CCONJ
ejpam-6030	6	18	trigonometric	trigonometric	ADJ
ejpam-6030	6	19	functions	function	NOUN
ejpam-6030	6	20	.	.	PUNCT
ejpam-6030	7	1	2020	2020	NUM
ejpam-6030	7	2	mathematics	mathematic	NOUN
ejpam-6030	7	3	subject	subject	NOUN
ejpam-6030	7	4	classifications	classification	NOUN
ejpam-6030	7	5	:	:	PUNCT
ejpam-6030	7	6	35c05	35c05	NUM
ejpam-6030	7	7	,	,	PUNCT
ejpam-6030	7	8	35q60	35q60	NUM
ejpam-6030	7	9	,	,	PUNCT
ejpam-6030	7	10	35a30	35a30	NUM
ejpam-6030	7	11	,	,	PUNCT
ejpam-6030	7	12	35b06	35b06	NUM
ejpam-6030	7	13	key	key	ADJ
ejpam-6030	7	14	words	word	NOUN
ejpam-6030	7	15	and	and	CCONJ
ejpam-6030	7	16	phrases	phrase	NOUN
ejpam-6030	7	17	:	:	PUNCT
ejpam-6030	7	18	lie	lie	NOUN
ejpam-6030	7	19	-	-	PUNCT
ejpam-6030	7	20	symmetry	symmetry	NOUN
ejpam-6030	7	21	method	method	NOUN
ejpam-6030	7	22	,	,	PUNCT
ejpam-6030	7	23	quantum	quantum	ADJ
ejpam-6030	7	24	zakharov	zakharov	ADJ
ejpam-6030	7	25	-	-	PUNCT
ejpam-6030	7	26	kuznetsov	kuznetsov	NOUN
ejpam-6030	7	27	,	,	PUNCT
ejpam-6030	7	28	kudryashovauxaliry	kudryashovauxaliry	NOUN
ejpam-6030	7	29	method	method	NOUN
ejpam-6030	7	30	,	,	PUNCT
ejpam-6030	7	31	wave	wave	NOUN
ejpam-6030	7	32	solutions	solution	NOUN
ejpam-6030	7	33	1	1	NUM
ejpam-6030	7	34	.	.	PUNCT
ejpam-6030	8	1	introduction	introduction	NOUN
ejpam-6030	8	2	over	over	ADP
ejpam-6030	8	3	the	the	DET
ejpam-6030	8	4	past	past	ADJ
ejpam-6030	8	5	centuries	century	NOUN
ejpam-6030	8	6	,	,	PUNCT
ejpam-6030	8	7	scientists	scientist	NOUN
ejpam-6030	8	8	have	have	AUX
ejpam-6030	8	9	sought	seek	VERB
ejpam-6030	8	10	to	to	PART
ejpam-6030	8	11	understand	understand	VERB
ejpam-6030	8	12	and	and	CCONJ
ejpam-6030	8	13	explain	explain	VERB
ejpam-6030	8	14	many	many	ADJ
ejpam-6030	8	15	natural	natural	ADJ
ejpam-6030	8	16	and	and	CCONJ
ejpam-6030	8	17	physical	physical	ADJ
ejpam-6030	8	18	phenomena	phenomenon	NOUN
ejpam-6030	8	19	.	.	PUNCT
ejpam-6030	9	1	the	the	DET
ejpam-6030	9	2	discovery	discovery	NOUN
ejpam-6030	9	3	of	of	ADP
ejpam-6030	9	4	partial	partial	ADJ
ejpam-6030	9	5	differential	differential	ADJ
ejpam-6030	9	6	equations	equation	NOUN
ejpam-6030	9	7	(	(	PUNCT
ejpam-6030	9	8	pdes	pde	NOUN
ejpam-6030	9	9	)	)	PUNCT
ejpam-6030	9	10	has	have	AUX
ejpam-6030	9	11	led	lead	VERB
ejpam-6030	9	12	to	to	ADP
ejpam-6030	9	13	the	the	DET
ejpam-6030	9	14	explanation	explanation	NOUN
ejpam-6030	9	15	of	of	ADP
ejpam-6030	9	16	many	many	ADJ
ejpam-6030	9	17	of	of	ADP
ejpam-6030	9	18	these	these	DET
ejpam-6030	9	19	events	event	NOUN
ejpam-6030	9	20	.	.	PUNCT
ejpam-6030	10	1	many	many	ADJ
ejpam-6030	10	2	scientists	scientist	NOUN
ejpam-6030	10	3	have	have	AUX
ejpam-6030	10	4	turned	turn	VERB
ejpam-6030	10	5	to	to	ADP
ejpam-6030	10	6	discovering	discover	VERB
ejpam-6030	10	7	the	the	DET
ejpam-6030	10	8	types	type	NOUN
ejpam-6030	10	9	of	of	ADP
ejpam-6030	10	10	pdes	pde	NOUN
ejpam-6030	10	11	and	and	CCONJ
ejpam-6030	10	12	their	their	PRON
ejpam-6030	10	13	approximate	approximate	ADJ
ejpam-6030	10	14	and	and	CCONJ
ejpam-6030	10	15	accurate	accurate	ADJ
ejpam-6030	10	16	solutions	solution	NOUN
ejpam-6030	10	17	.	.	PUNCT
ejpam-6030	11	1	this	this	PRON
ejpam-6030	11	2	has	have	AUX
ejpam-6030	11	3	helped	help	VERB
ejpam-6030	11	4	in	in	ADP
ejpam-6030	11	5	the	the	DET
ejpam-6030	11	6	ease	ease	NOUN
ejpam-6030	11	7	of	of	ADP
ejpam-6030	11	8	understanding	understanding	NOUN
ejpam-6030	11	9	and	and	CCONJ
ejpam-6030	11	10	developing	develop	VERB
ejpam-6030	11	11	many	many	ADJ
ejpam-6030	11	12	models	model	NOUN
ejpam-6030	11	13	and	and	CCONJ
ejpam-6030	11	14	how	how	SCONJ
ejpam-6030	11	15	to	to	PART
ejpam-6030	11	16	use	use	VERB
ejpam-6030	11	17	them	they	PRON
ejpam-6030	11	18	in	in	ADP
ejpam-6030	11	19	scientific	scientific	ADJ
ejpam-6030	11	20	development	development	NOUN
ejpam-6030	11	21	.	.	PUNCT
ejpam-6030	12	1	through	through	ADP
ejpam-6030	12	2	that	that	PRON
ejpam-6030	12	3	,	,	PUNCT
ejpam-6030	12	4	mathematicians	mathematician	NOUN
ejpam-6030	12	5	have	have	AUX
ejpam-6030	12	6	made	make	VERB
ejpam-6030	12	7	remarkable	remarkable	ADJ
ejpam-6030	12	8	progress	progress	NOUN
ejpam-6030	12	9	in	in	ADP
ejpam-6030	12	10	inventing	invent	VERB
ejpam-6030	12	11	∗corresponding	∗corresponde	VERB
ejpam-6030	12	12	author	author	NOUN
ejpam-6030	12	13	.	.	PUNCT
ejpam-6030	13	1	doi	doi	NOUN
ejpam-6030	13	2	:	:	PUNCT
ejpam-6030	13	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6030	https://doi.org/10.29020/nybg.ejpam.v18i3.6030	NOUN
ejpam-6030	13	4	email	email	NOUN
ejpam-6030	13	5	addresses	address	NOUN
ejpam-6030	13	6	:	:	PUNCT
ejpam-6030	13	7	a.gaber@mu.edu.sa	a.gaber@mu.edu.sa	PROPN
ejpam-6030	13	8	;	;	PUNCT
ejpam-6030	13	9	aagaber6@gmail.com	aagaber6@gmail.com	X
ejpam-6030	13	10	(	(	PUNCT
ejpam-6030	13	11	a.	a.	NOUN
ejpam-6030	13	12	a.	a.	PROPN
ejpam-6030	13	13	gaber	gaber	PROPN
ejpam-6030	13	14	)	)	PUNCT
ejpam-6030	13	15	,	,	PUNCT
ejpam-6030	13	16	tawfik	tawfik	VERB
ejpam-6030	13	17	younis@hotmail.com	younis@hotmail.com	PROPN
ejpam-6030	14	1	(	(	PUNCT
ejpam-6030	14	2	t.	t.	PROPN
ejpam-6030	14	3	m.	m.	PROPN
ejpam-6030	14	4	younis	younis	PROPN
ejpam-6030	14	5	)	)	PUNCT
ejpam-6030	14	6	,	,	PUNCT
ejpam-6030	14	7	monaf.alharbi@gmail.com	monaf.alharbi@gmail.com	X
ejpam-6030	14	8	(	(	PUNCT
ejpam-6030	14	9	m.	m.	NOUN
ejpam-6030	14	10	f.alharbi	f.alharbi	NOUN
ejpam-6030	14	11	)	)	PUNCT
ejpam-6030	14	12	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6030	14	13	1	1	NUM
ejpam-6030	14	14	copyright	copyright	NOUN
ejpam-6030	14	15	:	:	PUNCT
ejpam-6030	14	16	©	©	PROPN
ejpam-6030	14	17	2025	2025	NUM
ejpam-6030	14	18	the	the	DET
ejpam-6030	14	19	author(s	author(s	NOUN
ejpam-6030	14	20	)	)	PUNCT
ejpam-6030	14	21	.	.	PUNCT
ejpam-6030	15	1	(	(	PUNCT
ejpam-6030	15	2	cc	cc	NOUN
ejpam-6030	15	3	by	by	ADP
ejpam-6030	15	4	-	-	PUNCT
ejpam-6030	15	5	nc	nc	PROPN
ejpam-6030	15	6	4.0	4.0	NUM
ejpam-6030	15	7	)	)	PUNCT
ejpam-6030	15	8	a.	a.	NOUN
ejpam-6030	15	9	a.	a.	NOUN
ejpam-6030	15	10	gaber	gaber	PROPN
ejpam-6030	15	11	,	,	PUNCT
ejpam-6030	15	12	t.	t.	PROPN
ejpam-6030	15	13	m.	m.	PROPN
ejpam-6030	15	14	younis	younis	PROPN
ejpam-6030	15	15	,	,	PUNCT
ejpam-6030	15	16	m.	m.	PROPN
ejpam-6030	15	17	f.	f.	PROPN
ejpam-6030	15	18	alharbi	alharbi	PROPN
ejpam-6030	15	19	/	/	SYM
ejpam-6030	15	20	eur	eur	PROPN
ejpam-6030	15	21	.	.	PUNCT
ejpam-6030	16	1	j.	j.	PROPN
ejpam-6030	16	2	pure	pure	PROPN
ejpam-6030	16	3	appl	appl	PROPN
ejpam-6030	16	4	.	.	PROPN
ejpam-6030	16	5	math	math	PROPN
ejpam-6030	16	6	,	,	PUNCT
ejpam-6030	16	7	18	18	NUM
ejpam-6030	16	8	(	(	PUNCT
ejpam-6030	16	9	3	3	NUM
ejpam-6030	16	10	)	)	PUNCT
ejpam-6030	16	11	(	(	PUNCT
ejpam-6030	16	12	2025	2025	NUM
ejpam-6030	16	13	)	)	PUNCT
ejpam-6030	16	14	,	,	PUNCT
ejpam-6030	16	15	6030	6030	NUM
ejpam-6030	16	16	2	2	NUM
ejpam-6030	16	17	of	of	ADP
ejpam-6030	16	18	12	12	NUM
ejpam-6030	16	19	many	many	ADJ
ejpam-6030	16	20	methods	method	NOUN
ejpam-6030	16	21	to	to	PART
ejpam-6030	16	22	solve	solve	VERB
ejpam-6030	16	23	nonlinear	nonlinear	ADJ
ejpam-6030	16	24	pdes	pde	NOUN
ejpam-6030	16	25	for	for	ADP
ejpam-6030	16	26	explaining	explain	VERB
ejpam-6030	16	27	many	many	ADJ
ejpam-6030	16	28	physical	physical	ADJ
ejpam-6030	16	29	phenomena	phenomenon	NOUN
ejpam-6030	16	30	.	.	PUNCT
ejpam-6030	17	1	many	many	ADJ
ejpam-6030	17	2	nonlinear	nonlinear	ADJ
ejpam-6030	17	3	pdes	pde	NOUN
ejpam-6030	17	4	have	have	AUX
ejpam-6030	17	5	been	be	AUX
ejpam-6030	17	6	used	use	VERB
ejpam-6030	17	7	in	in	ADP
ejpam-6030	17	8	the	the	DET
ejpam-6030	17	9	fields	field	NOUN
ejpam-6030	17	10	of	of	ADP
ejpam-6030	17	11	engineering	engineering	NOUN
ejpam-6030	17	12	,	,	PUNCT
ejpam-6030	17	13	physics	physics	NOUN
ejpam-6030	17	14	,	,	PUNCT
ejpam-6030	17	15	and	and	CCONJ
ejpam-6030	17	16	other	other	ADJ
ejpam-6030	17	17	scientific	scientific	ADJ
ejpam-6030	17	18	and	and	CCONJ
ejpam-6030	17	19	social	social	ADJ
ejpam-6030	17	20	sciences	science	NOUN
ejpam-6030	17	21	.	.	PUNCT
ejpam-6030	18	1	modern	modern	ADJ
ejpam-6030	18	2	science	science	NOUN
ejpam-6030	18	3	has	have	AUX
ejpam-6030	18	4	produced	produce	VERB
ejpam-6030	18	5	many	many	ADJ
ejpam-6030	18	6	equations	equation	NOUN
ejpam-6030	18	7	,	,	PUNCT
ejpam-6030	18	8	such	such	ADJ
ejpam-6030	18	9	as	as	ADP
ejpam-6030	18	10	korteweg	korteweg	NOUN
ejpam-6030	18	11	-	-	PUNCT
ejpam-6030	18	12	de	de	NOUN
ejpam-6030	18	13	-	-	NOUN
ejpam-6030	18	14	vries	vries	NOUN
ejpam-6030	18	15	[	[	X
ejpam-6030	18	16	1	1	NUM
ejpam-6030	18	17	,	,	PUNCT
ejpam-6030	18	18	2	2	NUM
ejpam-6030	18	19	]	]	PUNCT
ejpam-6030	18	20	,	,	PUNCT
ejpam-6030	18	21	burgers	burger	NOUN
ejpam-6030	19	1	[	[	X
ejpam-6030	19	2	2	2	NUM
ejpam-6030	19	3	]	]	PUNCT
ejpam-6030	19	4	,	,	PUNCT
ejpam-6030	19	5	boltzmann	boltzmann	PROPN
ejpam-6030	20	1	[	[	X
ejpam-6030	20	2	4	4	NUM
ejpam-6030	20	3	]	]	PUNCT
ejpam-6030	20	4	and	and	CCONJ
ejpam-6030	20	5	other	other	ADJ
ejpam-6030	20	6	famous	famous	ADJ
ejpam-6030	20	7	equations	equation	NOUN
ejpam-6030	20	8	.	.	PUNCT
ejpam-6030	21	1	on	on	ADP
ejpam-6030	21	2	the	the	DET
ejpam-6030	21	3	other	other	ADJ
ejpam-6030	21	4	hand	hand	NOUN
ejpam-6030	21	5	,	,	PUNCT
ejpam-6030	21	6	scientists	scientist	NOUN
ejpam-6030	21	7	have	have	AUX
ejpam-6030	21	8	discovered	discover	VERB
ejpam-6030	21	9	and	and	CCONJ
ejpam-6030	21	10	developed	develop	VERB
ejpam-6030	21	11	many	many	ADJ
ejpam-6030	21	12	methods	method	NOUN
ejpam-6030	21	13	to	to	PART
ejpam-6030	21	14	solve	solve	VERB
ejpam-6030	21	15	nonlinear	nonlinear	ADJ
ejpam-6030	21	16	partial	partial	ADJ
ejpam-6030	21	17	differential	differential	NOUN
ejpam-6030	21	18	equations	equation	NOUN
ejpam-6030	21	19	and	and	CCONJ
ejpam-6030	21	20	find	find	VERB
ejpam-6030	21	21	accurate	accurate	ADJ
ejpam-6030	21	22	or	or	CCONJ
ejpam-6030	21	23	approximate	approximate	ADJ
ejpam-6030	21	24	solutions	solution	NOUN
ejpam-6030	21	25	.	.	PUNCT
ejpam-6030	22	1	these	these	DET
ejpam-6030	22	2	methods	method	NOUN
ejpam-6030	22	3	include	include	VERB
ejpam-6030	22	4	lie	lie	NOUN
ejpam-6030	22	5	-	-	PUNCT
ejpam-6030	22	6	symmetry	symmetry	NOUN
ejpam-6030	22	7	method	method	NOUN
ejpam-6030	22	8	[	[	X
ejpam-6030	22	9	5−	5−	NUM
ejpam-6030	22	10	9	9	NUM
ejpam-6030	22	11	]	]	PUNCT
ejpam-6030	22	12	,	,	PUNCT
ejpam-6030	22	13	kudryashov	kudryashov	PROPN
ejpam-6030	22	14	method	method	NOUN
ejpam-6030	22	15	[	[	X
ejpam-6030	22	16	7	7	NUM
ejpam-6030	22	17	,	,	PUNCT
ejpam-6030	22	18	10	10	NUM
ejpam-6030	22	19	]	]	PUNCT
ejpam-6030	22	20	,	,	PUNCT
ejpam-6030	22	21	exp	exp	NOUN
ejpam-6030	22	22	-	-	PUNCT
ejpam-6030	22	23	function	function	NOUN
ejpam-6030	22	24	method	method	NOUN
ejpam-6030	22	25	[	[	X
ejpam-6030	22	26	11	11	NUM
ejpam-6030	22	27	]	]	PUNCT
ejpam-6030	22	28	,	,	PUNCT
ejpam-6030	22	29	tan(φ/2)-expansion	tan(φ/2)-expansion	NUM
ejpam-6030	22	30	method	method	NOUN
ejpam-6030	22	31	[	[	X
ejpam-6030	22	32	12	12	NUM
ejpam-6030	22	33	]	]	PUNCT
ejpam-6030	22	34	,	,	PUNCT
ejpam-6030	22	35	jacobi	jacobi	PROPN
ejpam-6030	22	36	elliptic	elliptic	ADJ
ejpam-6030	22	37	function	function	NOUN
ejpam-6030	22	38	[	[	X
ejpam-6030	22	39	13	13	NUM
ejpam-6030	22	40	]	]	PUNCT
ejpam-6030	22	41	,	,	PUNCT
ejpam-6030	22	42	(	(	PUNCT
ejpam-6030	22	43	g′/g)expansion	g′/g)expansion	NOUN
ejpam-6030	22	44	method	method	NOUN
ejpam-6030	22	45	[	[	X
ejpam-6030	22	46	14	14	NUM
ejpam-6030	22	47	,	,	PUNCT
ejpam-6030	22	48	15	15	NUM
ejpam-6030	22	49	]	]	PUNCT
ejpam-6030	22	50	and	and	CCONJ
ejpam-6030	22	51	others	other	NOUN
ejpam-6030	23	1	[	[	X
ejpam-6030	23	2	16−	16−	NUM
ejpam-6030	23	3	19	19	NUM
ejpam-6030	23	4	]	]	PUNCT
ejpam-6030	23	5	.	.	PUNCT
ejpam-6030	24	1	the	the	DET
ejpam-6030	24	2	main	main	ADJ
ejpam-6030	24	3	challenge	challenge	NOUN
ejpam-6030	24	4	of	of	ADP
ejpam-6030	24	5	this	this	DET
ejpam-6030	24	6	work	work	NOUN
ejpam-6030	24	7	are	be	AUX
ejpam-6030	24	8	studying	study	VERB
ejpam-6030	24	9	symmetries	symmetry	NOUN
ejpam-6030	24	10	and	and	CCONJ
ejpam-6030	24	11	obtaining	obtain	VERB
ejpam-6030	24	12	a	a	DET
ejpam-6030	24	13	novel	novel	ADJ
ejpam-6030	24	14	exact	exact	ADJ
ejpam-6030	24	15	solutions	solution	NOUN
ejpam-6030	24	16	for	for	ADP
ejpam-6030	24	17	the	the	DET
ejpam-6030	24	18	(	(	PUNCT
ejpam-6030	24	19	2	2	NUM
ejpam-6030	24	20	+	+	NOUN
ejpam-6030	24	21	1)-dimensional	1)-dimensional	ADJ
ejpam-6030	24	22	qzk	qzk	NOUN
ejpam-6030	24	23	equation	equation	NOUN
ejpam-6030	24	24	[	[	X
ejpam-6030	24	25	15	15	NUM
ejpam-6030	24	26	,	,	PUNCT
ejpam-6030	24	27	20	20	NUM
ejpam-6030	24	28	−	−	NOUN
ejpam-6030	24	29	22	22	NUM
ejpam-6030	24	30	]	]	PUNCT
ejpam-6030	24	31	,	,	PUNCT
ejpam-6030	24	32	which	which	PRON
ejpam-6030	24	33	can	can	AUX
ejpam-6030	24	34	be	be	AUX
ejpam-6030	24	35	written	write	VERB
ejpam-6030	24	36	in	in	ADP
ejpam-6030	24	37	the	the	DET
ejpam-6030	24	38	form	form	NOUN
ejpam-6030	24	39	vt	vt	NOUN
ejpam-6030	24	40	+	+	CCONJ
ejpam-6030	24	41	pv	pv	INTJ
ejpam-6030	24	42	vx	vx	PROPN
ejpam-6030	24	43	+	+	CCONJ
ejpam-6030	24	44	q(vx	q(vx	PROPN
ejpam-6030	24	45	,	,	PUNCT
ejpam-6030	24	46	x	x	X
ejpam-6030	24	47	,	,	PUNCT
ejpam-6030	24	48	x	x	PUNCT
ejpam-6030	24	49	+	+	NOUN
ejpam-6030	24	50	vy	vy	NOUN
ejpam-6030	24	51	,	,	PUNCT
ejpam-6030	24	52	y	y	PROPN
ejpam-6030	24	53	,	,	PUNCT
ejpam-6030	24	54	y	y	PROPN
ejpam-6030	24	55	)	)	PUNCT
ejpam-6030	24	56	+	+	NUM
ejpam-6030	24	57	r(vx	r(vx	NOUN
ejpam-6030	24	58	,	,	PUNCT
ejpam-6030	24	59	y	y	PROPN
ejpam-6030	24	60	,	,	PUNCT
ejpam-6030	24	61	y	y	PROPN
ejpam-6030	24	62	+	+	PROPN
ejpam-6030	24	63	vx	vx	PROPN
ejpam-6030	24	64	,	,	PUNCT
ejpam-6030	24	65	x	x	NOUN
ejpam-6030	24	66	,	,	PUNCT
ejpam-6030	24	67	y	y	PROPN
ejpam-6030	24	68	)	)	PUNCT
ejpam-6030	24	69	=	=	SYM
ejpam-6030	24	70	0	0	NUM
ejpam-6030	24	71	,	,	PUNCT
ejpam-6030	24	72	(	(	PUNCT
ejpam-6030	24	73	1	1	X
ejpam-6030	24	74	)	)	PUNCT
ejpam-6030	24	75	where	where	SCONJ
ejpam-6030	24	76	v	v	NOUN
ejpam-6030	24	77	=	=	SYM
ejpam-6030	24	78	v(x	v(x	PROPN
ejpam-6030	24	79	,	,	PUNCT
ejpam-6030	24	80	y	y	PROPN
ejpam-6030	24	81	,	,	PUNCT
ejpam-6030	24	82	t	t	PROPN
ejpam-6030	24	83	)	)	PUNCT
ejpam-6030	24	84	.	.	PUNCT
ejpam-6030	25	1	many	many	ADJ
ejpam-6030	25	2	researchers	researcher	NOUN
ejpam-6030	25	3	have	have	AUX
ejpam-6030	25	4	been	be	AUX
ejpam-6030	25	5	interested	interested	ADJ
ejpam-6030	25	6	in	in	ADP
ejpam-6030	25	7	this	this	DET
ejpam-6030	25	8	equation	equation	NOUN
ejpam-6030	26	1	[	[	PUNCT
ejpam-6030	26	2	20	20	NUM
ejpam-6030	26	3	−	−	NUM
ejpam-6030	26	4	22	22	NUM
ejpam-6030	26	5	]	]	PUNCT
ejpam-6030	26	6	.	.	PUNCT
ejpam-6030	27	1	nuruddeen	nuruddeen	ADV
ejpam-6030	27	2	et	et	PROPN
ejpam-6030	27	3	al	al	PROPN
ejpam-6030	27	4	.	.	PUNCT
ejpam-6030	28	1	[	[	X
ejpam-6030	28	2	21	21	NUM
ejpam-6030	28	3	]	]	PUNCT
ejpam-6030	28	4	reduced	reduce	VERB
ejpam-6030	28	5	the	the	DET
ejpam-6030	28	6	governing	govern	VERB
ejpam-6030	28	7	equation	equation	NOUN
ejpam-6030	28	8	to	to	ADP
ejpam-6030	28	9	a	a	DET
ejpam-6030	28	10	single	single	ADJ
ejpam-6030	28	11	form	form	NOUN
ejpam-6030	28	12	and	and	CCONJ
ejpam-6030	28	13	then	then	ADV
ejpam-6030	28	14	used	use	VERB
ejpam-6030	28	15	tanh	tanh	PROPN
ejpam-6030	28	16	method	method	NOUN
ejpam-6030	28	17	to	to	PART
ejpam-6030	28	18	obtain	obtain	VERB
ejpam-6030	28	19	solutions	solution	NOUN
ejpam-6030	28	20	.	.	PUNCT
ejpam-6030	29	1	on	on	ADP
ejpam-6030	29	2	the	the	DET
ejpam-6030	29	3	other	other	ADJ
ejpam-6030	29	4	hand	hand	NOUN
ejpam-6030	29	5	,	,	PUNCT
ejpam-6030	29	6	vinita	vinita	PROPN
ejpam-6030	29	7	and	and	CCONJ
ejpam-6030	29	8	ray	ray	VERB
ejpam-6030	30	1	[	[	X
ejpam-6030	30	2	20	20	NUM
ejpam-6030	30	3	]	]	PUNCT
ejpam-6030	30	4	reduced	reduce	VERB
ejpam-6030	30	5	the	the	DET
ejpam-6030	30	6	governing	govern	VERB
ejpam-6030	30	7	equation	equation	NOUN
ejpam-6030	30	8	and	and	CCONJ
ejpam-6030	30	9	obtained	obtain	VERB
ejpam-6030	30	10	some	some	DET
ejpam-6030	30	11	solutions	solution	NOUN
ejpam-6030	30	12	2	2	NUM
ejpam-6030	30	13	.	.	PUNCT
ejpam-6030	30	14	symmetries	symmetry	NOUN
ejpam-6030	30	15	proposition	proposition	VERB
ejpam-6030	30	16	1	1	NUM
ejpam-6030	30	17	:	:	PUNCT
ejpam-6030	30	18	the	the	DET
ejpam-6030	30	19	qzk	qzk	NOUN
ejpam-6030	30	20	equation	equation	NOUN
ejpam-6030	30	21	(	(	PUNCT
ejpam-6030	30	22	1	1	X
ejpam-6030	30	23	)	)	PUNCT
ejpam-6030	30	24	has	have	VERB
ejpam-6030	30	25	the	the	DET
ejpam-6030	30	26	following	follow	VERB
ejpam-6030	30	27	five	five	NUM
ejpam-6030	30	28	lie	lie	NOUN
ejpam-6030	30	29	point	point	NOUN
ejpam-6030	30	30	symmetries	symmetry	NOUN
ejpam-6030	30	31	:	:	PUNCT
ejpam-6030	30	32	w1	w1	NOUN
ejpam-6030	30	33	=	=	SYM
ejpam-6030	30	34	t	t	PROPN
ejpam-6030	30	35	∂	∂	NOUN
ejpam-6030	30	36	∂t	∂t	PROPN
ejpam-6030	31	1	+	+	CCONJ
ejpam-6030	31	2	1	1	NUM
ejpam-6030	31	3	3	3	NUM
ejpam-6030	31	4	x	x	SYM
ejpam-6030	31	5	∂	∂	NOUN
ejpam-6030	31	6	∂x	∂x	NOUN
ejpam-6030	31	7	+	+	CCONJ
ejpam-6030	31	8	1	1	NUM
ejpam-6030	31	9	3	3	NUM
ejpam-6030	31	10	y	y	PROPN
ejpam-6030	31	11	∂	∂	NOUN
ejpam-6030	31	12	∂y	∂y	NOUN
ejpam-6030	32	1	−	−	NOUN
ejpam-6030	32	2	2	2	NUM
ejpam-6030	32	3	3	3	NUM
ejpam-6030	32	4	v	v	NOUN
ejpam-6030	32	5	∂	∂	NOUN
ejpam-6030	32	6	∂v	∂v	PROPN
ejpam-6030	32	7	,	,	PUNCT
ejpam-6030	32	8	w2	w2	NOUN
ejpam-6030	32	9	=	=	SYM
ejpam-6030	32	10	∂	∂	NUM
ejpam-6030	32	11	∂t	∂t	PROPN
ejpam-6030	32	12	,	,	PUNCT
ejpam-6030	32	13	w3	w3	PROPN
ejpam-6030	32	14	=	=	PROPN
ejpam-6030	32	15	t	t	PROPN
ejpam-6030	32	16	∂	∂	NOUN
ejpam-6030	32	17	∂x	∂x	NOUN
ejpam-6030	33	1	+	+	CCONJ
ejpam-6030	33	2	1	1	NUM
ejpam-6030	33	3	a	a	DET
ejpam-6030	33	4	∂	∂	NOUN
ejpam-6030	33	5	∂v	∂v	NOUN
ejpam-6030	33	6	,	,	PUNCT
ejpam-6030	33	7	w4	w4	NOUN
ejpam-6030	33	8	=	=	SYM
ejpam-6030	33	9	∂	∂	NUM
ejpam-6030	33	10	∂x	∂x	PROPN
ejpam-6030	33	11	,	,	PUNCT
ejpam-6030	33	12	w5	w5	PROPN
ejpam-6030	33	13	=	=	SYM
ejpam-6030	33	14	∂	∂	NUM
ejpam-6030	33	15	∂y	∂y	NOUN
ejpam-6030	33	16	,	,	PUNCT
ejpam-6030	33	17	(	(	PUNCT
ejpam-6030	33	18	2	2	X
ejpam-6030	33	19	)	)	PUNCT
ejpam-6030	33	20	proof	proof	NOUN
ejpam-6030	33	21	:	:	PUNCT
ejpam-6030	33	22	a	a	DET
ejpam-6030	33	23	lie	lie	NOUN
ejpam-6030	33	24	group	group	NOUN
ejpam-6030	33	25	with	with	ADP
ejpam-6030	33	26	infinitesimal	infinitesimal	ADJ
ejpam-6030	33	27	on	on	ADP
ejpam-6030	33	28	the	the	DET
ejpam-6030	33	29	space	space	NOUN
ejpam-6030	33	30	of	of	ADP
ejpam-6030	33	31	independent	independent	ADJ
ejpam-6030	33	32	and	and	CCONJ
ejpam-6030	33	33	dependent	dependent	ADJ
ejpam-6030	33	34	variables	variable	NOUN
ejpam-6030	33	35	with	with	ADP
ejpam-6030	33	36	one	one	NUM
ejpam-6030	33	37	parameter	parameter	NOUN
ejpam-6030	33	38	ε	ε	PROPN
ejpam-6030	33	39	is	be	AUX
ejpam-6030	33	40	examined	examine	VERB
ejpam-6030	33	41	as	as	SCONJ
ejpam-6030	33	42	follows	follow	VERB
ejpam-6030	33	43	:	:	PUNCT
ejpam-6030	33	44	t∗	t∗	NOUN
ejpam-6030	33	45	=	=	PUNCT
ejpam-6030	33	46	t+	t+	NOUN
ejpam-6030	33	47	εa(x	εa(x	NOUN
ejpam-6030	33	48	,	,	PUNCT
ejpam-6030	33	49	y	y	PROPN
ejpam-6030	33	50	,	,	PUNCT
ejpam-6030	33	51	t	t	PROPN
ejpam-6030	33	52	,	,	PUNCT
ejpam-6030	33	53	v	v	NOUN
ejpam-6030	33	54	)	)	PUNCT
ejpam-6030	33	55	+	+	NUM
ejpam-6030	33	56	ϑ(ε2	ϑ(ε2	NOUN
ejpam-6030	33	57	)	)	PUNCT
ejpam-6030	33	58	,	,	PUNCT
ejpam-6030	33	59	x∗	x∗	PROPN
ejpam-6030	33	60	=	=	SYM
ejpam-6030	33	61	x+	x+	X
ejpam-6030	33	62	εb(x	εb(x	NUM
ejpam-6030	33	63	,	,	PUNCT
ejpam-6030	33	64	y	y	PROPN
ejpam-6030	33	65	,	,	PUNCT
ejpam-6030	33	66	t	t	PROPN
ejpam-6030	33	67	,	,	PUNCT
ejpam-6030	33	68	v	v	NOUN
ejpam-6030	33	69	)	)	PUNCT
ejpam-6030	34	1	+	+	NUM
ejpam-6030	34	2	ϑ(ε2	ϑ(ε2	NOUN
ejpam-6030	34	3	)	)	PUNCT
ejpam-6030	34	4	,	,	PUNCT
ejpam-6030	34	5	y∗	y∗	PROPN
ejpam-6030	34	6	=	=	SYM
ejpam-6030	34	7	y	y	PROPN
ejpam-6030	34	8	+	+	CCONJ
ejpam-6030	34	9	εc(x	εc(x	PROPN
ejpam-6030	34	10	,	,	PUNCT
ejpam-6030	34	11	y	y	PROPN
ejpam-6030	34	12	,	,	PUNCT
ejpam-6030	34	13	t	t	PROPN
ejpam-6030	34	14	,	,	PUNCT
ejpam-6030	34	15	v	v	NOUN
ejpam-6030	34	16	)	)	PUNCT
ejpam-6030	34	17	+	+	NUM
ejpam-6030	34	18	ϑ(ε2	ϑ(ε2	NOUN
ejpam-6030	34	19	)	)	PUNCT
ejpam-6030	34	20	,	,	PUNCT
ejpam-6030	34	21	v∗	v∗	PROPN
ejpam-6030	34	22	=	=	SYM
ejpam-6030	34	23	v	v	NOUN
ejpam-6030	34	24	+	+	CCONJ
ejpam-6030	34	25	εφ(x	εφ(x	PROPN
ejpam-6030	34	26	,	,	PUNCT
ejpam-6030	34	27	y	y	PROPN
ejpam-6030	34	28	,	,	PUNCT
ejpam-6030	34	29	t	t	PROPN
ejpam-6030	34	30	,	,	PUNCT
ejpam-6030	34	31	v	v	NOUN
ejpam-6030	34	32	)	)	PUNCT
ejpam-6030	34	33	+	+	NUM
ejpam-6030	34	34	ϑ(ε2	ϑ(ε2	NOUN
ejpam-6030	34	35	)	)	PUNCT
ejpam-6030	34	36	.	.	PUNCT
ejpam-6030	35	1	(	(	PUNCT
ejpam-6030	35	2	3	3	X
ejpam-6030	35	3	)	)	PUNCT
ejpam-6030	35	4	the	the	DET
ejpam-6030	35	5	third	third	ADJ
ejpam-6030	35	6	vector	vector	NOUN
ejpam-6030	35	7	field	field	NOUN
ejpam-6030	35	8	which	which	PRON
ejpam-6030	35	9	can	can	AUX
ejpam-6030	35	10	generated	generate	VERB
ejpam-6030	35	11	the	the	DET
ejpam-6030	35	12	lie	lie	NOUN
ejpam-6030	35	13	algebra	algebra	NOUN
ejpam-6030	35	14	of	of	ADP
ejpam-6030	35	15	the	the	DET
ejpam-6030	35	16	(	(	PUNCT
ejpam-6030	35	17	2	2	NUM
ejpam-6030	35	18	+	+	NOUN
ejpam-6030	35	19	1)-dimensional	1)-dimensional	ADJ
ejpam-6030	35	20	qzk	qzk	NOUN
ejpam-6030	35	21	equation	equation	NOUN
ejpam-6030	35	22	can	can	AUX
ejpam-6030	35	23	be	be	AUX
ejpam-6030	35	24	expressed	express	VERB
ejpam-6030	35	25	as	as	SCONJ
ejpam-6030	35	26	follows	follow	VERB
ejpam-6030	35	27	:	:	PUNCT
ejpam-6030	35	28	γ(3	γ(3	NOUN
ejpam-6030	35	29	)	)	PUNCT
ejpam-6030	35	30	=	=	SYM
ejpam-6030	36	1	χ+φ[x	χ+φ[x	NOUN
ejpam-6030	36	2	]	]	X
ejpam-6030	36	3	∂	∂	NUM
ejpam-6030	36	4	∂vx	∂vx	PROPN
ejpam-6030	36	5	+	+	PROPN
ejpam-6030	36	6	φ[xxx	φ[xxx	NOUN
ejpam-6030	36	7	]	]	X
ejpam-6030	36	8	∂	∂	NUM
ejpam-6030	36	9	∂vx	∂vx	NOUN
ejpam-6030	36	10	,	,	PUNCT
ejpam-6030	36	11	x.x	x.x	PROPN
ejpam-6030	37	1	+	+	NOUN
ejpam-6030	37	2	φ[yyy	φ[yyy	NOUN
ejpam-6030	37	3	]	]	SYM
ejpam-6030	37	4	∂	∂	NUM
ejpam-6030	37	5	∂vy	∂vy	PROPN
ejpam-6030	37	6	,	,	PUNCT
ejpam-6030	37	7	y	y	PROPN
ejpam-6030	37	8	,	,	PUNCT
ejpam-6030	37	9	y	y	PROPN
ejpam-6030	37	10	+	+	NOUN
ejpam-6030	37	11	φ[xxy	φ[xxy	NOUN
ejpam-6030	37	12	]	]	PUNCT
ejpam-6030	37	13	∂	∂	NUM
ejpam-6030	37	14	∂vx	∂vx	PROPN
ejpam-6030	37	15	,	,	PUNCT
ejpam-6030	37	16	x	x	PROPN
ejpam-6030	37	17	,	,	PUNCT
ejpam-6030	37	18	y	y	PROPN
ejpam-6030	37	19	+	+	NOUN
ejpam-6030	37	20	φ[xyy	φ[xyy	NOUN
ejpam-6030	37	21	]	]	X
ejpam-6030	37	22	∂	∂	NUM
ejpam-6030	37	23	∂vx	∂vx	PROPN
ejpam-6030	37	24	,	,	PUNCT
ejpam-6030	37	25	y	y	PROPN
ejpam-6030	37	26	,	,	PUNCT
ejpam-6030	37	27	y	y	PROPN
ejpam-6030	37	28	.	.	PUNCT
ejpam-6030	38	1	(	(	PUNCT
ejpam-6030	38	2	4	4	X
ejpam-6030	38	3	)	)	PUNCT
ejpam-6030	38	4	a	a	DET
ejpam-6030	38	5	description	description	NOUN
ejpam-6030	38	6	of	of	ADP
ejpam-6030	38	7	the	the	DET
ejpam-6030	38	8	infinitesimal	infinitesimal	ADJ
ejpam-6030	38	9	vector	vector	NOUN
ejpam-6030	38	10	χ	χ	NOUN
ejpam-6030	38	11	associated	associate	VERB
ejpam-6030	38	12	with	with	ADP
ejpam-6030	38	13	the	the	DET
ejpam-6030	38	14	aforementioned	aforementioned	ADJ
ejpam-6030	38	15	transformations	transformation	NOUN
ejpam-6030	38	16	is	be	AUX
ejpam-6030	38	17	given	give	VERB
ejpam-6030	38	18	.	.	PUNCT
ejpam-6030	39	1	χ	χ	X
ejpam-6030	39	2	=	=	SYM
ejpam-6030	39	3	t	t	PROPN
ejpam-6030	39	4	∂	∂	NOUN
ejpam-6030	39	5	∂t	∂t	PROPN
ejpam-6030	40	1	+	+	NOUN
ejpam-6030	40	2	a	a	DET
ejpam-6030	40	3	∂	∂	NOUN
ejpam-6030	40	4	∂x	∂x	NOUN
ejpam-6030	41	1	+	+	NOUN
ejpam-6030	41	2	b	b	NOUN
ejpam-6030	41	3	∂	∂	PRON
ejpam-6030	41	4	∂y	∂y	NOUN
ejpam-6030	42	1	+	+	CCONJ
ejpam-6030	42	2	c	c	PROPN
ejpam-6030	42	3	∂	∂	X
ejpam-6030	42	4	∂v	∂v	PROPN
ejpam-6030	42	5	.	.	PUNCT
ejpam-6030	43	1	(	(	PUNCT
ejpam-6030	43	2	5	5	X
ejpam-6030	43	3	)	)	PUNCT
ejpam-6030	43	4	a.	a.	NOUN
ejpam-6030	43	5	a.	a.	NOUN
ejpam-6030	43	6	gaber	gaber	PROPN
ejpam-6030	43	7	,	,	PUNCT
ejpam-6030	43	8	t.	t.	PROPN
ejpam-6030	43	9	m.	m.	PROPN
ejpam-6030	43	10	younis	younis	PROPN
ejpam-6030	43	11	,	,	PUNCT
ejpam-6030	43	12	m.	m.	PROPN
ejpam-6030	43	13	f.	f.	PROPN
ejpam-6030	43	14	alharbi	alharbi	PROPN
ejpam-6030	43	15	/	/	SYM
ejpam-6030	43	16	eur	eur	PROPN
ejpam-6030	43	17	.	.	PUNCT
ejpam-6030	44	1	j.	j.	PROPN
ejpam-6030	44	2	pure	pure	PROPN
ejpam-6030	44	3	appl	appl	PROPN
ejpam-6030	44	4	.	.	PROPN
ejpam-6030	44	5	math	math	PROPN
ejpam-6030	44	6	,	,	PUNCT
ejpam-6030	44	7	18	18	NUM
ejpam-6030	44	8	(	(	PUNCT
ejpam-6030	44	9	3	3	NUM
ejpam-6030	44	10	)	)	PUNCT
ejpam-6030	44	11	(	(	PUNCT
ejpam-6030	44	12	2025	2025	NUM
ejpam-6030	44	13	)	)	PUNCT
ejpam-6030	44	14	,	,	PUNCT
ejpam-6030	44	15	6030	6030	NUM
ejpam-6030	44	16	3	3	NUM
ejpam-6030	44	17	of	of	ADP
ejpam-6030	44	18	12	12	NUM
ejpam-6030	44	19	where	where	SCONJ
ejpam-6030	44	20	the	the	DET
ejpam-6030	44	21	components	component	NOUN
ejpam-6030	44	22	φ[t],φ[x	φ[t],φ[x	VERB
ejpam-6030	44	23	]	]	X
ejpam-6030	44	24	,	,	PUNCT
ejpam-6030	44	25	φ[xxx	φ[xxx	NOUN
ejpam-6030	44	26	]	]	PUNCT
ejpam-6030	44	27	,	,	PUNCT
ejpam-6030	44	28	φ[xxy	φ[xxy	NOUN
ejpam-6030	44	29	]	]	PUNCT
ejpam-6030	44	30	,	,	PUNCT
ejpam-6030	44	31	φ[yxx	φ[yxx	PROPN
ejpam-6030	44	32	]	]	PUNCT
ejpam-6030	44	33	....	....	PUNCT
ejpam-6030	44	34	establish	establish	VERB
ejpam-6030	44	35	as	as	ADP
ejpam-6030	44	36	the	the	DET
ejpam-6030	44	37	expressions	expression	NOUN
ejpam-6030	44	38	:	:	PUNCT
ejpam-6030	44	39	φ[x	φ[x	X
ejpam-6030	44	40	]	]	X
ejpam-6030	44	41	=	=	PUNCT
ejpam-6030	44	42	dxφ−	dxφ−	PROPN
ejpam-6030	44	43	vtdxa−	vtdxa−	NOUN
ejpam-6030	44	44	vxdxb	vxdxb	NOUN
ejpam-6030	44	45	−	−	PROPN
ejpam-6030	44	46	vydxc	vydxc	NOUN
ejpam-6030	44	47	,	,	PUNCT
ejpam-6030	44	48	φ[xy	φ[xy	X
ejpam-6030	44	49	]	]	X
ejpam-6030	44	50	=	=	SYM
ejpam-6030	44	51	dyφ−	dyφ−	PROPN
ejpam-6030	44	52	vtxdya−	vtxdya−	NOUN
ejpam-6030	44	53	vxxdyb	vxxdyb	NOUN
ejpam-6030	44	54	−	−	PROPN
ejpam-6030	44	55	vxxdyc	vxxdyc	NOUN
ejpam-6030	44	56	.	.	PUNCT
ejpam-6030	45	1	(	(	PUNCT
ejpam-6030	45	2	6	6	X
ejpam-6030	45	3	)	)	PUNCT
ejpam-6030	45	4	the	the	DET
ejpam-6030	45	5	invariance	invariance	NOUN
ejpam-6030	45	6	condition	condition	NOUN
ejpam-6030	45	7	is	be	AUX
ejpam-6030	45	8	satisfied	satisfied	ADJ
ejpam-6030	45	9	[	[	X
ejpam-6030	45	10	5	5	NUM
ejpam-6030	45	11	,	,	PUNCT
ejpam-6030	45	12	6	6	NUM
ejpam-6030	45	13	]	]	PUNCT
ejpam-6030	45	14	γ(3)(∆	γ(3)(∆	NOUN
ejpam-6030	45	15	)	)	PUNCT
ejpam-6030	46	1	=	=	SYM
ejpam-6030	46	2	0	0	NUM
ejpam-6030	46	3	,	,	PUNCT
ejpam-6030	46	4	(	(	PUNCT
ejpam-6030	46	5	7	7	X
ejpam-6030	46	6	)	)	PUNCT
ejpam-6030	47	1	where	where	SCONJ
ejpam-6030	47	2	∆	∆	PROPN
ejpam-6030	47	3	=	=	SYM
ejpam-6030	47	4	vt	vt	PROPN
ejpam-6030	47	5	+	+	CCONJ
ejpam-6030	47	6	pv	pv	INTJ
ejpam-6030	47	7	vx	vx	PROPN
ejpam-6030	47	8	+	+	CCONJ
ejpam-6030	47	9	q(vx	q(vx	PROPN
ejpam-6030	47	10	,	,	PUNCT
ejpam-6030	47	11	x	x	X
ejpam-6030	47	12	,	,	PUNCT
ejpam-6030	47	13	x	x	PUNCT
ejpam-6030	48	1	+	+	NOUN
ejpam-6030	48	2	vy	vy	NOUN
ejpam-6030	48	3	,	,	PUNCT
ejpam-6030	48	4	y	y	PROPN
ejpam-6030	48	5	,	,	PUNCT
ejpam-6030	48	6	y	y	PROPN
ejpam-6030	48	7	)	)	PUNCT
ejpam-6030	48	8	+	+	NUM
ejpam-6030	48	9	r(vx	r(vx	NOUN
ejpam-6030	48	10	,	,	PUNCT
ejpam-6030	48	11	y	y	PROPN
ejpam-6030	48	12	,	,	PUNCT
ejpam-6030	48	13	y	y	PROPN
ejpam-6030	48	14	+	+	PROPN
ejpam-6030	48	15	vx	vx	PROPN
ejpam-6030	48	16	,	,	PUNCT
ejpam-6030	48	17	x	x	NOUN
ejpam-6030	48	18	,	,	PUNCT
ejpam-6030	48	19	y	y	PROPN
ejpam-6030	48	20	)	)	PUNCT
ejpam-6030	48	21	=	=	SYM
ejpam-6030	48	22	0	0	NUM
ejpam-6030	48	23	,	,	PUNCT
ejpam-6030	48	24	(	(	PUNCT
ejpam-6030	48	25	8)	8)	NUM
ejpam-6030	48	26	this	this	DET
ejpam-6030	48	27	invariance	invariance	NOUN
ejpam-6030	48	28	condition	condition	NOUN
ejpam-6030	48	29	leads	lead	VERB
ejpam-6030	48	30	to	to	ADP
ejpam-6030	48	31	a	a	DET
ejpam-6030	48	32	specific	specific	ADJ
ejpam-6030	48	33	system	system	NOUN
ejpam-6030	48	34	of	of	ADP
ejpam-6030	48	35	pdes	pde	NOUN
ejpam-6030	48	36	.	.	PUNCT
ejpam-6030	49	1	when	when	SCONJ
ejpam-6030	49	2	we	we	PRON
ejpam-6030	49	3	solve	solve	VERB
ejpam-6030	49	4	this	this	DET
ejpam-6030	49	5	condition	condition	NOUN
ejpam-6030	49	6	,	,	PUNCT
ejpam-6030	49	7	we	we	PRON
ejpam-6030	49	8	get	get	VERB
ejpam-6030	49	9	a	a	DET
ejpam-6030	49	10	=	=	SYM
ejpam-6030	49	11	c1t+	c1t+	PROPN
ejpam-6030	49	12	c2	c2	PROPN
ejpam-6030	49	13	,	,	PUNCT
ejpam-6030	49	14	b	b	X
ejpam-6030	49	15	=	=	SYM
ejpam-6030	49	16	1	1	NUM
ejpam-6030	49	17	3	3	NUM
ejpam-6030	49	18	x+	x+	NOUN
ejpam-6030	49	19	c3t+	c3t+	NOUN
ejpam-6030	49	20	c4	c4	NOUN
ejpam-6030	49	21	,	,	PUNCT
ejpam-6030	49	22	c	c	NOUN
ejpam-6030	49	23	=	=	SYM
ejpam-6030	49	24	1	1	NUM
ejpam-6030	49	25	3	3	NUM
ejpam-6030	49	26	c1y	c1y	NOUN
ejpam-6030	49	27	+	+	CCONJ
ejpam-6030	49	28	c5	c5	PROPN
ejpam-6030	49	29	,	,	PUNCT
ejpam-6030	49	30	φ	φ	PROPN
ejpam-6030	49	31	=	=	SYM
ejpam-6030	49	32	−2	−2	PROPN
ejpam-6030	49	33	3	3	NUM
ejpam-6030	49	34	c1v	c1v	NOUN
ejpam-6030	49	35	−	−	PROPN
ejpam-6030	49	36	1	1	NUM
ejpam-6030	49	37	a	a	DET
ejpam-6030	49	38	c3	c3	PROPN
ejpam-6030	49	39	.	.	PUNCT
ejpam-6030	50	1	(	(	PUNCT
ejpam-6030	50	2	9	9	NUM
ejpam-6030	50	3	)	)	PUNCT
ejpam-6030	50	4	where	where	SCONJ
ejpam-6030	50	5	ω	ω	NOUN
ejpam-6030	50	6	is	be	AUX
ejpam-6030	50	7	sum	sum	NOUN
ejpam-6030	50	8	of	of	ADP
ejpam-6030	50	9	w1	w1	NOUN
ejpam-6030	50	10	,	,	PUNCT
ejpam-6030	50	11	...	...	PUNCT
ejpam-6030	50	12	w5	w5	PROPN
ejpam-6030	50	13	.	.	PUNCT
ejpam-6030	51	1	the	the	DET
ejpam-6030	51	2	commutator	commutator	NOUN
ejpam-6030	51	3	relations	relation	NOUN
ejpam-6030	51	4	are	be	AUX
ejpam-6030	51	5	given	give	VERB
ejpam-6030	51	6	by	by	ADP
ejpam-6030	51	7	table	table	NOUN
ejpam-6030	51	8	1	1	NUM
ejpam-6030	51	9	.	.	PUNCT
ejpam-6030	51	10	table	table	NOUN
ejpam-6030	51	11	1	1	NUM
ejpam-6030	51	12	:	:	PUNCT
ejpam-6030	51	13	the	the	DET
ejpam-6030	51	14	commutator	commutator	NOUN
ejpam-6030	51	15	table	table	NOUN
ejpam-6030	51	16	of	of	ADP
ejpam-6030	51	17	ω	ω	PROPN
ejpam-6030	51	18	w1	w1	PROPN
ejpam-6030	51	19	w2	w2	PROPN
ejpam-6030	51	20	w3	w3	PROPN
ejpam-6030	51	21	w4	w4	PROPN
ejpam-6030	51	22	w5	w5	PROPN
ejpam-6030	51	23	w1	w1	PROPN
ejpam-6030	51	24	0	0	NUM
ejpam-6030	51	25	−1	−1	NOUN
ejpam-6030	51	26	3	3	NUM
ejpam-6030	51	27	w2	w2	NOUN
ejpam-6030	51	28	0	0	NUM
ejpam-6030	51	29	−1	−1	NOUN
ejpam-6030	51	30	3	3	NUM
ejpam-6030	51	31	w4	w4	NOUN
ejpam-6030	51	32	−1	−1	NOUN
ejpam-6030	51	33	3	3	NUM
ejpam-6030	51	34	w5	w5	PROPN
ejpam-6030	51	35	w2	w2	NOUN
ejpam-6030	51	36	1	1	NUM
ejpam-6030	51	37	3w2	3w2	NUM
ejpam-6030	51	38	0	0	NUM
ejpam-6030	51	39	−w3	−w3	PROPN
ejpam-6030	51	40	w4	w4	PROPN
ejpam-6030	51	41	0	0	NUM
ejpam-6030	51	42	w3	w3	PROPN
ejpam-6030	51	43	0	0	NUM
ejpam-6030	51	44	w3	w3	PROPN
ejpam-6030	51	45	0	0	NUM
ejpam-6030	51	46	0	0	SYM
ejpam-6030	51	47	0	0	NUM
ejpam-6030	51	48	w4	w4	NOUN
ejpam-6030	52	1	1	1	NUM
ejpam-6030	52	2	3w4	3w4	NUM
ejpam-6030	53	1	−w4	−w4	NOUN
ejpam-6030	53	2	0	0	NUM
ejpam-6030	53	3	0	0	SYM
ejpam-6030	53	4	0	0	NUM
ejpam-6030	53	5	w5	w5	PROPN
ejpam-6030	53	6	1	1	NUM
ejpam-6030	53	7	3w5	3w5	NUM
ejpam-6030	53	8	0	0	NUM
ejpam-6030	53	9	0	0	NUM
ejpam-6030	53	10	0	0	NUM
ejpam-6030	53	11	0	0	NUM
ejpam-6030	53	12	table	table	NOUN
ejpam-6030	53	13	2	2	NUM
ejpam-6030	53	14	:	:	PUNCT
ejpam-6030	53	15	the	the	DET
ejpam-6030	53	16	adjoint	adjoint	NOUN
ejpam-6030	53	17	table	table	NOUN
ejpam-6030	53	18	of	of	ADP
ejpam-6030	53	19	ω	ω	PROPN
ejpam-6030	53	20	w1	w1	PROPN
ejpam-6030	53	21	w2	w2	PROPN
ejpam-6030	53	22	w3	w3	PROPN
ejpam-6030	53	23	w4	w4	PROPN
ejpam-6030	53	24	w5	w5	PROPN
ejpam-6030	53	25	w1	w1	PROPN
ejpam-6030	53	26	w1	w1	PROPN
ejpam-6030	53	27	e	e	PROPN
ejpam-6030	53	28	ϵ	ϵ	PROPN
ejpam-6030	53	29	3	3	NUM
ejpam-6030	53	30	2w2	2w2	NUM
ejpam-6030	53	31	w3	w3	PROPN
ejpam-6030	53	32	e	e	PROPN
ejpam-6030	53	33	ϵ	ϵ	PROPN
ejpam-6030	53	34	3	3	NUM
ejpam-6030	53	35	4w4	4w4	NUM
ejpam-6030	53	36	e	e	NOUN
ejpam-6030	53	37	ϵ	ϵ	X
ejpam-6030	53	38	3	3	NUM
ejpam-6030	53	39	5w5	5w5	NUM
ejpam-6030	53	40	w2	w2	NOUN
ejpam-6030	53	41	w1	w1	NOUN
ejpam-6030	53	42	−	−	PROPN
ejpam-6030	53	43	1	1	NUM
ejpam-6030	53	44	3w2	3w2	NUM
ejpam-6030	53	45	w2	w2	NOUN
ejpam-6030	53	46	eϵ3w3	eϵ3w3	PROPN
ejpam-6030	53	47	e−ϵ	e−ϵ	ADJ
ejpam-6030	53	48	4	4	NUM
ejpam-6030	53	49	w4	w4	NOUN
ejpam-6030	53	50	w5	w5	PROPN
ejpam-6030	53	51	w3	w3	PROPN
ejpam-6030	53	52	w1	w1	PROPN
ejpam-6030	53	53	w2	w2	PROPN
ejpam-6030	53	54	−w3	−w3	PROPN
ejpam-6030	53	55	w3	w3	PROPN
ejpam-6030	53	56	w4	w4	PROPN
ejpam-6030	53	57	w5	w5	PROPN
ejpam-6030	53	58	w4	w4	PROPN
ejpam-6030	53	59	w1	w1	NOUN
ejpam-6030	53	60	−	−	PROPN
ejpam-6030	53	61	1	1	NUM
ejpam-6030	53	62	3w4	3w4	NUM
ejpam-6030	53	63	w2	w2	NOUN
ejpam-6030	53	64	−w4	−w4	PROPN
ejpam-6030	53	65	w3	w3	PROPN
ejpam-6030	53	66	w4	w4	PROPN
ejpam-6030	53	67	w5	w5	PROPN
ejpam-6030	53	68	w5	w5	PROPN
ejpam-6030	53	69	w1	w1	PROPN
ejpam-6030	53	70	−	−	PROPN
ejpam-6030	53	71	1	1	NUM
ejpam-6030	53	72	3w5	3w5	NUM
ejpam-6030	53	73	w2	w2	PROPN
ejpam-6030	53	74	w3	w3	PROPN
ejpam-6030	53	75	w4	w4	PROPN
ejpam-6030	53	76	w5	w5	PROPN
ejpam-6030	53	77	where	where	SCONJ
ejpam-6030	53	78	adj(exp(εwi))wj	adj(exp(εwi))wj	PROPN
ejpam-6030	53	79	=	=	SYM
ejpam-6030	53	80	wj−ϵ[wi	wj−ϵ[wi	PROPN
ejpam-6030	53	81	,	,	PUNCT
ejpam-6030	53	82	wj	wj	X
ejpam-6030	53	83	]	]	PUNCT
ejpam-6030	53	84	+	+	CCONJ
ejpam-6030	53	85	ϵ2	ϵ2	PROPN
ejpam-6030	53	86	2	2	NUM
ejpam-6030	54	1	[	[	X
ejpam-6030	54	2	wi	wi	PROPN
ejpam-6030	54	3	,	,	PUNCT
ejpam-6030	54	4	[	[	X
ejpam-6030	54	5	wi	wi	PROPN
ejpam-6030	54	6	,	,	PUNCT
ejpam-6030	54	7	wj	wj	X
ejpam-6030	54	8	]	]	X
ejpam-6030	54	9	]	]	PUNCT
ejpam-6030	54	10	,	,	PUNCT
ejpam-6030	54	11	i	i	PRON
ejpam-6030	54	12	=	=	NOUN
ejpam-6030	54	13	1	1	NUM
ejpam-6030	54	14	,	,	PUNCT
ejpam-6030	54	15	2	2	NUM
ejpam-6030	54	16	,	,	PUNCT
ejpam-6030	54	17	3	3	NUM
ejpam-6030	54	18	and	and	CCONJ
ejpam-6030	54	19	[	[	X
ejpam-6030	54	20	wi	wi	PROPN
ejpam-6030	54	21	,	,	PUNCT
ejpam-6030	54	22	wj	wj	X
ejpam-6030	54	23	]	]	PUNCT
ejpam-6030	55	1	=	=	PUNCT
ejpam-6030	55	2	wiwj	wiwj	NOUN
ejpam-6030	55	3	−wjwi	−wjwi	PROPN
ejpam-6030	55	4	.	.	PUNCT
ejpam-6030	56	1	the	the	DET
ejpam-6030	56	2	asymmetric	asymmetric	ADJ
ejpam-6030	56	3	probability	probability	NOUN
ejpam-6030	56	4	are	be	AUX
ejpam-6030	56	5	derived	derive	VERB
ejpam-6030	56	6	from	from	ADP
ejpam-6030	56	7	the	the	DET
ejpam-6030	56	8	preceding	precede	VERB
ejpam-6030	56	9	table	table	NOUN
ejpam-6030	56	10	under	under	ADP
ejpam-6030	56	11	the	the	DET
ejpam-6030	56	12	following	follow	VERB
ejpam-6030	56	13	scenarios	scenario	NOUN
ejpam-6030	56	14	:	:	PUNCT
ejpam-6030	56	15	a.	a.	NOUN
ejpam-6030	56	16	a.	a.	NOUN
ejpam-6030	56	17	gaber	gaber	PROPN
ejpam-6030	56	18	,	,	PUNCT
ejpam-6030	56	19	t.	t.	PROPN
ejpam-6030	56	20	m.	m.	PROPN
ejpam-6030	56	21	younis	younis	PROPN
ejpam-6030	56	22	,	,	PUNCT
ejpam-6030	56	23	m.	m.	PROPN
ejpam-6030	56	24	f.	f.	PROPN
ejpam-6030	56	25	alharbi	alharbi	PROPN
ejpam-6030	56	26	/	/	SYM
ejpam-6030	56	27	eur	eur	PROPN
ejpam-6030	56	28	.	.	PUNCT
ejpam-6030	57	1	j.	j.	PROPN
ejpam-6030	57	2	pure	pure	PROPN
ejpam-6030	57	3	appl	appl	PROPN
ejpam-6030	57	4	.	.	PROPN
ejpam-6030	57	5	math	math	PROPN
ejpam-6030	57	6	,	,	PUNCT
ejpam-6030	57	7	18	18	NUM
ejpam-6030	57	8	(	(	PUNCT
ejpam-6030	57	9	3	3	NUM
ejpam-6030	57	10	)	)	PUNCT
ejpam-6030	57	11	(	(	PUNCT
ejpam-6030	57	12	2025	2025	NUM
ejpam-6030	57	13	)	)	PUNCT
ejpam-6030	57	14	,	,	PUNCT
ejpam-6030	57	15	6030	6030	NUM
ejpam-6030	57	16	4	4	NUM
ejpam-6030	57	17	of	of	ADP
ejpam-6030	57	18	12	12	NUM
ejpam-6030	57	19	(	(	PUNCT
ejpam-6030	57	20	i	i	NOUN
ejpam-6030	57	21	)	)	PUNCT
ejpam-6030	57	22	w1	w1	PROPN
ejpam-6030	58	1	+	+	PROPN
ejpam-6030	58	2	m	m	PROPN
ejpam-6030	58	3	w2	w2	NOUN
ejpam-6030	58	4	(	(	PUNCT
ejpam-6030	58	5	ii	ii	PROPN
ejpam-6030	58	6	)	)	PUNCT
ejpam-6030	58	7	w1	w1	PROPN
ejpam-6030	58	8	+	+	PROPN
ejpam-6030	58	9	w3	w3	PROPN
ejpam-6030	58	10	(	(	PUNCT
ejpam-6030	58	11	iii	iii	NOUN
ejpam-6030	58	12	)	)	PUNCT
ejpam-6030	58	13	w2	w2	NOUN
ejpam-6030	58	14	+	+	CCONJ
ejpam-6030	58	15	m1w4	m1w4	PROPN
ejpam-6030	58	16	+	+	ADJ
ejpam-6030	58	17	m2w5	m2w5	PROPN
ejpam-6030	58	18	(	(	PUNCT
ejpam-6030	58	19	iv	iv	NOUN
ejpam-6030	58	20	)	)	PUNCT
ejpam-6030	58	21	w4	w4	NOUN
ejpam-6030	58	22	+	+	PROPN
ejpam-6030	58	23	mw5	mw5	NOUN
ejpam-6030	58	24	3	3	NUM
ejpam-6030	58	25	.	.	PUNCT
ejpam-6030	59	1	the	the	DET
ejpam-6030	59	2	reductions	reduction	NOUN
ejpam-6030	59	3	and	and	CCONJ
ejpam-6030	59	4	exact	exact	ADJ
ejpam-6030	59	5	solutions	solution	NOUN
ejpam-6030	59	6	the	the	DET
ejpam-6030	59	7	constant	constant	ADJ
ejpam-6030	59	8	transformation	transformation	NOUN
ejpam-6030	59	9	can	can	AUX
ejpam-6030	59	10	be	be	AUX
ejpam-6030	59	11	obtained	obtain	VERB
ejpam-6030	59	12	by	by	ADP
ejpam-6030	59	13	applying	apply	VERB
ejpam-6030	59	14	the	the	DET
ejpam-6030	59	15	characteristic	characteristic	ADJ
ejpam-6030	59	16	equation	equation	NOUN
ejpam-6030	59	17	that	that	PRON
ejpam-6030	59	18	follows	follow	VERB
ejpam-6030	59	19	:	:	PUNCT
ejpam-6030	59	20	dt	dt	PROPN
ejpam-6030	60	1	c1t+	c1t+	NOUN
ejpam-6030	60	2	c2	c2	PROPN
ejpam-6030	60	3	=	=	SYM
ejpam-6030	60	4	dx	dx	PROPN
ejpam-6030	60	5	1	1	NUM
ejpam-6030	60	6	3x+	3x+	NUM
ejpam-6030	60	7	c3t+	c3t+	NOUN
ejpam-6030	60	8	c4	c4	NOUN
ejpam-6030	60	9	=	=	PUNCT
ejpam-6030	60	10	dy	dy	NOUN
ejpam-6030	60	11	1	1	NUM
ejpam-6030	60	12	3c1y	3c1y	NOUN
ejpam-6030	60	13	+	+	CCONJ
ejpam-6030	60	14	c5	c5	PROPN
ejpam-6030	60	15	=	=	SYM
ejpam-6030	60	16	du	du	PROPN
ejpam-6030	60	17	−2	−2	PROPN
ejpam-6030	60	18	3c1v	3c1v	NOUN
ejpam-6030	60	19	−	−	PROPN
ejpam-6030	60	20	1	1	NUM
ejpam-6030	60	21	ac3	ac3	NOUN
ejpam-6030	60	22	.	.	PUNCT
ejpam-6030	61	1	(	(	PUNCT
ejpam-6030	61	2	10	10	NUM
ejpam-6030	61	3	)	)	PUNCT
ejpam-6030	61	4	case	case	NOUN
ejpam-6030	62	1	i	i	PRON
ejpam-6030	62	2	:	:	PUNCT
ejpam-6030	62	3	substituting	substitute	VERB
ejpam-6030	62	4	w1,and	w1,and	NOUN
ejpam-6030	62	5	w2	w2	NOUN
ejpam-6030	62	6	into	into	ADP
ejpam-6030	62	7	eq.(10	eq.(10	NOUN
ejpam-6030	62	8	)	)	PUNCT
ejpam-6030	62	9	correspondingly	correspondingly	ADV
ejpam-6030	62	10	,	,	PUNCT
ejpam-6030	62	11	the	the	DET
ejpam-6030	62	12	invariant	invariant	ADJ
ejpam-6030	62	13	variables	variable	NOUN
ejpam-6030	62	14	are	be	AUX
ejpam-6030	62	15	ζ1	ζ1	NOUN
ejpam-6030	62	16	=	=	SYM
ejpam-6030	62	17	x	x	X
ejpam-6030	62	18	(	(	PUNCT
ejpam-6030	62	19	t+m	t+m	NUM
ejpam-6030	62	20	)	)	PUNCT
ejpam-6030	62	21	1	1	NUM
ejpam-6030	62	22	3	3	NUM
ejpam-6030	62	23	,	,	PUNCT
ejpam-6030	62	24	ζ2	ζ2	NOUN
ejpam-6030	62	25	=	=	SYM
ejpam-6030	62	26	y	y	PROPN
ejpam-6030	62	27	(	(	PUNCT
ejpam-6030	62	28	t+m	t+m	PROPN
ejpam-6030	62	29	)	)	PUNCT
ejpam-6030	62	30	1	1	NUM
ejpam-6030	62	31	3	3	NUM
ejpam-6030	62	32	,	,	PUNCT
ejpam-6030	62	33	v	v	NOUN
ejpam-6030	62	34	=	=	SYM
ejpam-6030	62	35	f	f	PROPN
ejpam-6030	62	36	(	(	PUNCT
ejpam-6030	62	37	ζ1	ζ1	NOUN
ejpam-6030	62	38	,	,	PUNCT
ejpam-6030	62	39	ζ2	ζ2	NOUN
ejpam-6030	62	40	)	)	PUNCT
ejpam-6030	62	41	(	(	PUNCT
ejpam-6030	62	42	t+m	t+m	NUM
ejpam-6030	62	43	)	)	PUNCT
ejpam-6030	62	44	2	2	NUM
ejpam-6030	62	45	3	3	NUM
ejpam-6030	62	46	,	,	PUNCT
ejpam-6030	62	47	(	(	PUNCT
ejpam-6030	62	48	11	11	NUM
ejpam-6030	62	49	)	)	PUNCT
ejpam-6030	62	50	where	where	SCONJ
ejpam-6030	62	51	m	m	NOUN
ejpam-6030	62	52	=	=	SYM
ejpam-6030	62	53	c3	c3	PROPN
ejpam-6030	62	54	.	.	PUNCT
ejpam-6030	63	1	utilizing	utilize	VERB
ejpam-6030	63	2	eq.(11	eq.(11	PROPN
ejpam-6030	63	3	)	)	PUNCT
ejpam-6030	63	4	into	into	ADP
ejpam-6030	63	5	eq.(1	eq.(1	ADJ
ejpam-6030	63	6	)	)	PUNCT
ejpam-6030	63	7	,	,	PUNCT
ejpam-6030	63	8	then	then	ADV
ejpam-6030	63	9	eq.(1	eq.(1	NUM
ejpam-6030	63	10	)	)	PUNCT
ejpam-6030	63	11	is	be	AUX
ejpam-6030	63	12	reduced	reduce	VERB
ejpam-6030	63	13	to	to	ADP
ejpam-6030	63	14	the	the	DET
ejpam-6030	63	15	posterior	posterior	ADJ
ejpam-6030	63	16	equation	equation	NOUN
ejpam-6030	63	17	−2f	−2f	ADP
ejpam-6030	63	18	−	−	NOUN
ejpam-6030	63	19	ζ1fζ1	ζ1fζ1	NOUN
ejpam-6030	63	20	−	−	NOUN
ejpam-6030	63	21	ζ2fζ2	ζ2fζ2	NOUN
ejpam-6030	63	22	+	+	CCONJ
ejpam-6030	63	23	3pffζ1	3pffζ1	NUM
ejpam-6030	63	24	+	+	SYM
ejpam-6030	63	25	3q(fζ1ζ1ζ1	3q(fζ1ζ1ζ1	NUM
ejpam-6030	63	26	+	+	CCONJ
ejpam-6030	63	27	fζ2ζ2ζ2	fζ2ζ2ζ2	NUM
ejpam-6030	63	28	)	)	PUNCT
ejpam-6030	63	29	+	+	NUM
ejpam-6030	64	1	3r(fζ1ζ2ζ2	3r(fζ1ζ2ζ2	NUM
ejpam-6030	64	2	+	+	CCONJ
ejpam-6030	64	3	fζ2ζ1ζ1	fζ2ζ1ζ1	X
ejpam-6030	64	4	)	)	PUNCT
ejpam-6030	64	5	=	=	SYM
ejpam-6030	64	6	0	0	X
ejpam-6030	64	7	.	.	PUNCT
ejpam-6030	65	1	(	(	PUNCT
ejpam-6030	65	2	12	12	NUM
ejpam-6030	65	3	)	)	PUNCT
ejpam-6030	65	4	in	in	ADP
ejpam-6030	65	5	this	this	DET
ejpam-6030	65	6	case	case	NOUN
ejpam-6030	65	7	,	,	PUNCT
ejpam-6030	65	8	by	by	ADP
ejpam-6030	65	9	putting	put	VERB
ejpam-6030	65	10	θ	θ	NOUN
ejpam-6030	65	11	=	=	PUNCT
ejpam-6030	65	12	hζ1	hζ1	PROPN
ejpam-6030	65	13	+	+	CCONJ
ejpam-6030	65	14	kζ2	kζ2	PROPN
ejpam-6030	65	15	,	,	PUNCT
ejpam-6030	65	16	eq.(12	eq.(12	PROPN
ejpam-6030	65	17	)	)	PUNCT
ejpam-6030	65	18	can	can	AUX
ejpam-6030	65	19	be	be	AUX
ejpam-6030	65	20	written	write	VERB
ejpam-6030	65	21	in	in	ADP
ejpam-6030	65	22	the	the	DET
ejpam-6030	65	23	following	follow	VERB
ejpam-6030	65	24	form	form	NOUN
ejpam-6030	65	25	:	:	PUNCT
ejpam-6030	65	26	−2f	−2f	ADP
ejpam-6030	65	27	−	−	PUNCT
ejpam-6030	65	28	θf	θf	NOUN
ejpam-6030	65	29	′	′	NOUN
ejpam-6030	66	1	+	+	CCONJ
ejpam-6030	67	1	3pff	3pff	NUM
ejpam-6030	67	2	′	′	NUM
ejpam-6030	68	1	+	+	CCONJ
ejpam-6030	69	1	3[q(k3	3[q(k3	NUM
ejpam-6030	69	2	+	+	NUM
ejpam-6030	69	3	h3	h3	NOUN
ejpam-6030	69	4	)	)	PUNCT
ejpam-6030	70	1	+	+	NUM
ejpam-6030	70	2	r(k2h+	r(k2h+	NOUN
ejpam-6030	70	3	kh2)]f	kh2)]f	NOUN
ejpam-6030	70	4	′′′	′′′	PROPN
ejpam-6030	70	5	=	=	NOUN
ejpam-6030	70	6	0	0	X
ejpam-6030	70	7	.	.	PUNCT
ejpam-6030	71	1	(	(	PUNCT
ejpam-6030	71	2	13	13	X
ejpam-6030	71	3	)	)	PUNCT
ejpam-6030	71	4	taking	take	VERB
ejpam-6030	71	5	the	the	DET
ejpam-6030	71	6	solution	solution	NOUN
ejpam-6030	71	7	to	to	ADP
ejpam-6030	71	8	the	the	DET
ejpam-6030	71	9	previous	previous	ADJ
ejpam-6030	71	10	equation	equation	NOUN
ejpam-6030	71	11	in	in	ADP
ejpam-6030	71	12	the	the	DET
ejpam-6030	71	13	following	follow	VERB
ejpam-6030	71	14	form	form	NOUN
ejpam-6030	71	15	:	:	PUNCT
ejpam-6030	71	16	f	f	PROPN
ejpam-6030	71	17	=	=	SYM
ejpam-6030	71	18	a0	a0	PROPN
ejpam-6030	71	19	+	+	CCONJ
ejpam-6030	71	20	m∑	m∑	CCONJ
ejpam-6030	71	21	i=1	i=1	PROPN
ejpam-6030	71	22	(	(	PUNCT
ejpam-6030	71	23	aiθ	aiθ	PROPN
ejpam-6030	71	24	i	i	PRON
ejpam-6030	71	25	+	+	CCONJ
ejpam-6030	71	26	biθ	biθ	PROPN
ejpam-6030	71	27	−i	−i	PROPN
ejpam-6030	71	28	)	)	PUNCT
ejpam-6030	71	29	(	(	PUNCT
ejpam-6030	71	30	14	14	X
ejpam-6030	71	31	)	)	PUNCT
ejpam-6030	71	32	substituting	substitute	VERB
ejpam-6030	71	33	eq.(14	eq.(14	NOUN
ejpam-6030	71	34	)	)	PUNCT
ejpam-6030	71	35	into	into	ADP
ejpam-6030	71	36	eq.(13	eq.(13	NOUN
ejpam-6030	71	37	)	)	PUNCT
ejpam-6030	71	38	and	and	CCONJ
ejpam-6030	71	39	obtainig	obtainig	VERB
ejpam-6030	71	40	the	the	DET
ejpam-6030	71	41	arbitrary	arbitrary	ADJ
ejpam-6030	71	42	constant	constant	ADJ
ejpam-6030	71	43	a0	a0	NOUN
ejpam-6030	71	44	,	,	PUNCT
ejpam-6030	71	45	ai	ai	VERB
ejpam-6030	71	46	and	and	CCONJ
ejpam-6030	71	47	bi	bi	ADJ
ejpam-6030	71	48	.the	.the	PROPN
ejpam-6030	71	49	closed	close	VERB
ejpam-6030	71	50	form	form	NOUN
ejpam-6030	71	51	solution	solution	NOUN
ejpam-6030	71	52	of	of	ADP
ejpam-6030	71	53	eq.(13	eq.(13	NOUN
ejpam-6030	71	54	)	)	PUNCT
ejpam-6030	71	55	,	,	PUNCT
ejpam-6030	71	56	takes	take	VERB
ejpam-6030	71	57	the	the	DET
ejpam-6030	71	58	following	follow	VERB
ejpam-6030	71	59	expression	expression	NOUN
ejpam-6030	71	60	:	:	PUNCT
ejpam-6030	72	1	f	f	X
ejpam-6030	72	2	=	=	SYM
ejpam-6030	72	3	−1	−1	PROPN
ejpam-6030	72	4	pk	pk	NOUN
ejpam-6030	72	5	(	(	PUNCT
ejpam-6030	72	6	ζ1	ζ1	NOUN
ejpam-6030	72	7	+	+	CCONJ
ejpam-6030	72	8	ζ2	ζ2	NOUN
ejpam-6030	72	9	)	)	PUNCT
ejpam-6030	72	10	.	.	PUNCT
ejpam-6030	73	1	(	(	PUNCT
ejpam-6030	73	2	15	15	NUM
ejpam-6030	73	3	)	)	PUNCT
ejpam-6030	73	4	the	the	DET
ejpam-6030	73	5	general	general	ADJ
ejpam-6030	73	6	solution	solution	NOUN
ejpam-6030	73	7	of	of	ADP
ejpam-6030	73	8	eq	eq	PROPN
ejpam-6030	73	9	.	.	PUNCT
ejpam-6030	74	1	(	(	PUNCT
ejpam-6030	74	2	1	1	X
ejpam-6030	74	3	)	)	PUNCT
ejpam-6030	74	4	writtes	writte	NOUN
ejpam-6030	74	5	in	in	ADP
ejpam-6030	74	6	the	the	DET
ejpam-6030	74	7	form	form	NOUN
ejpam-6030	74	8	:	:	PUNCT
ejpam-6030	74	9	v(x	v(x	PROPN
ejpam-6030	74	10	,	,	PUNCT
ejpam-6030	74	11	y	y	PROPN
ejpam-6030	74	12	,	,	PUNCT
ejpam-6030	74	13	t	t	PROPN
ejpam-6030	74	14	)	)	PUNCT
ejpam-6030	74	15	=	=	SYM
ejpam-6030	75	1	−1	−1	NOUN
ejpam-6030	75	2	pk(t+m	pk(t+m	NOUN
ejpam-6030	75	3	)	)	PUNCT
ejpam-6030	75	4	2	2	NUM
ejpam-6030	75	5	3	3	NUM
ejpam-6030	75	6	(	(	PUNCT
ejpam-6030	75	7	k	k	NOUN
ejpam-6030	75	8	x	x	X
ejpam-6030	75	9	(	(	PUNCT
ejpam-6030	75	10	t+m	t+m	NUM
ejpam-6030	75	11	)	)	PUNCT
ejpam-6030	75	12	1	1	NUM
ejpam-6030	75	13	3	3	NUM
ejpam-6030	75	14	+	+	NUM
ejpam-6030	75	15	h	h	NOUN
ejpam-6030	75	16	y	y	PROPN
ejpam-6030	75	17	(	(	PUNCT
ejpam-6030	75	18	t+m	t+m	PROPN
ejpam-6030	75	19	)	)	PUNCT
ejpam-6030	75	20	1	1	NUM
ejpam-6030	75	21	3	3	NUM
ejpam-6030	75	22	)	)	PUNCT
ejpam-6030	75	23	(	(	PUNCT
ejpam-6030	75	24	16	16	NUM
ejpam-6030	75	25	)	)	PUNCT
ejpam-6030	75	26	case	case	NOUN
ejpam-6030	75	27	ii	ii	NOUN
ejpam-6030	75	28	:	:	PUNCT
ejpam-6030	75	29	similarly	similarly	ADV
ejpam-6030	75	30	,	,	PUNCT
ejpam-6030	75	31	in	in	ADP
ejpam-6030	75	32	the	the	DET
ejpam-6030	75	33	earlier	early	ADJ
ejpam-6030	75	34	case	case	NOUN
ejpam-6030	75	35	,	,	PUNCT
ejpam-6030	75	36	substituting	substituting	NOUN
ejpam-6030	75	37	w1,and	w1,and	PROPN
ejpam-6030	75	38	w3	w3	PROPN
ejpam-6030	75	39	in	in	ADP
ejpam-6030	75	40	eq.(2	eq.(2	NOUN
ejpam-6030	75	41	)	)	PUNCT
ejpam-6030	75	42	.	.	PUNCT
ejpam-6030	76	1	the	the	DET
ejpam-6030	76	2	form	form	NOUN
ejpam-6030	76	3	of	of	ADP
ejpam-6030	76	4	the	the	DET
ejpam-6030	76	5	invariant	invariant	ADJ
ejpam-6030	76	6	variables	variable	NOUN
ejpam-6030	76	7	as	as	SCONJ
ejpam-6030	76	8	follows	follow	VERB
ejpam-6030	76	9	ζ1	ζ1	PROPN
ejpam-6030	76	10	=	=	SYM
ejpam-6030	76	11	x−	x−	PROPN
ejpam-6030	76	12	2	2	NUM
ejpam-6030	76	13	3	3	NUM
ejpam-6030	76	14	t	t	NOUN
ejpam-6030	76	15	t	t	NOUN
ejpam-6030	76	16	1	1	NUM
ejpam-6030	76	17	3	3	NUM
ejpam-6030	76	18	,	,	PUNCT
ejpam-6030	76	19	ζ2	ζ2	NOUN
ejpam-6030	76	20	=	=	SYM
ejpam-6030	76	21	y	y	PROPN
ejpam-6030	76	22	t	t	PROPN
ejpam-6030	76	23	1	1	NUM
ejpam-6030	76	24	3	3	NUM
ejpam-6030	76	25	,	,	PUNCT
ejpam-6030	76	26	v	v	NOUN
ejpam-6030	76	27	=	=	SYM
ejpam-6030	76	28	1	1	NUM
ejpam-6030	76	29	t	t	NOUN
ejpam-6030	76	30	2	2	NUM
ejpam-6030	76	31	3	3	NUM
ejpam-6030	76	32	f	f	PROPN
ejpam-6030	76	33	(	(	PUNCT
ejpam-6030	76	34	ζ1	ζ1	NOUN
ejpam-6030	76	35	,	,	PUNCT
ejpam-6030	76	36	ζ2	ζ2	NOUN
ejpam-6030	76	37	)	)	PUNCT
ejpam-6030	76	38	.	.	PUNCT
ejpam-6030	77	1	(	(	PUNCT
ejpam-6030	77	2	17	17	NUM
ejpam-6030	77	3	)	)	PUNCT
ejpam-6030	77	4	a.	a.	NOUN
ejpam-6030	77	5	a.	a.	NOUN
ejpam-6030	77	6	gaber	gaber	PROPN
ejpam-6030	77	7	,	,	PUNCT
ejpam-6030	77	8	t.	t.	PROPN
ejpam-6030	77	9	m.	m.	PROPN
ejpam-6030	77	10	younis	younis	PROPN
ejpam-6030	77	11	,	,	PUNCT
ejpam-6030	77	12	m.	m.	PROPN
ejpam-6030	77	13	f.	f.	PROPN
ejpam-6030	77	14	alharbi	alharbi	PROPN
ejpam-6030	77	15	/	/	SYM
ejpam-6030	77	16	eur	eur	PROPN
ejpam-6030	77	17	.	.	PUNCT
ejpam-6030	78	1	j.	j.	PROPN
ejpam-6030	78	2	pure	pure	PROPN
ejpam-6030	78	3	appl	appl	PROPN
ejpam-6030	78	4	.	.	PROPN
ejpam-6030	78	5	math	math	PROPN
ejpam-6030	78	6	,	,	PUNCT
ejpam-6030	78	7	18	18	NUM
ejpam-6030	78	8	(	(	PUNCT
ejpam-6030	78	9	3	3	NUM
ejpam-6030	78	10	)	)	PUNCT
ejpam-6030	78	11	(	(	PUNCT
ejpam-6030	78	12	2025	2025	NUM
ejpam-6030	78	13	)	)	PUNCT
ejpam-6030	78	14	,	,	PUNCT
ejpam-6030	78	15	6030	6030	NUM
ejpam-6030	78	16	5	5	NUM
ejpam-6030	78	17	of	of	ADP
ejpam-6030	78	18	12	12	NUM
ejpam-6030	78	19	figure	figure	NOUN
ejpam-6030	78	20	1	1	NUM
ejpam-6030	78	21	:	:	PUNCT
ejpam-6030	78	22	the	the	DET
ejpam-6030	78	23	solitary	solitary	ADJ
ejpam-6030	78	24	wave	wave	NOUN
ejpam-6030	78	25	solution	solution	NOUN
ejpam-6030	78	26	of	of	ADP
ejpam-6030	78	27	(	(	PUNCT
ejpam-6030	78	28	16	16	NUM
ejpam-6030	78	29	)	)	PUNCT
ejpam-6030	78	30	.	.	PUNCT
ejpam-6030	79	1	figure	figure	VERB
ejpam-6030	79	2	2	2	NUM
ejpam-6030	79	3	:	:	PUNCT
ejpam-6030	79	4	the	the	DET
ejpam-6030	79	5	double	double	ADJ
ejpam-6030	79	6	wave	wave	NOUN
ejpam-6030	79	7	solution	solution	NOUN
ejpam-6030	79	8	of	of	ADP
ejpam-6030	79	9	(	(	PUNCT
ejpam-6030	79	10	21	21	NUM
ejpam-6030	79	11	)	)	PUNCT
ejpam-6030	79	12	we	we	PRON
ejpam-6030	79	13	obtained	obtain	VERB
ejpam-6030	79	14	the	the	DET
ejpam-6030	79	15	following	follow	VERB
ejpam-6030	79	16	equation	equation	NOUN
ejpam-6030	79	17	by	by	ADP
ejpam-6030	79	18	substituting	substitute	VERB
ejpam-6030	79	19	eq	eq	PROPN
ejpam-6030	79	20	.	.	PUNCT
ejpam-6030	80	1	(	(	PUNCT
ejpam-6030	80	2	17	17	NUM
ejpam-6030	80	3	)	)	PUNCT
ejpam-6030	80	4	into	into	ADP
ejpam-6030	80	5	eq	eq	NOUN
ejpam-6030	80	6	.	.	PUNCT
ejpam-6030	81	1	(	(	PUNCT
ejpam-6030	81	2	1	1	NUM
ejpam-6030	81	3	)	)	PUNCT
ejpam-6030	81	4	.	.	PUNCT
ejpam-6030	82	1	−2f	−2f	ADP
ejpam-6030	82	2	−	−	NOUN
ejpam-6030	82	3	ζ1fζ1	ζ1fζ1	NOUN
ejpam-6030	82	4	−	−	NOUN
ejpam-6030	82	5	ζ2fζ2	ζ2fζ2	NOUN
ejpam-6030	82	6	+	+	CCONJ
ejpam-6030	82	7	3pffζ1	3pffζ1	NUM
ejpam-6030	82	8	+	+	SYM
ejpam-6030	82	9	3q(fζ1ζ1ζ1	3q(fζ1ζ1ζ1	NUM
ejpam-6030	82	10	+	+	CCONJ
ejpam-6030	82	11	fζ2ζ2ζ2	fζ2ζ2ζ2	NUM
ejpam-6030	82	12	)	)	PUNCT
ejpam-6030	82	13	+	+	NUM
ejpam-6030	82	14	3r(fζ1ζ2ζ2	3r(fζ1ζ2ζ2	NUM
ejpam-6030	82	15	+	+	CCONJ
ejpam-6030	82	16	fζ2ζ1ζ1	fζ2ζ1ζ1	X
ejpam-6030	82	17	)	)	PUNCT
ejpam-6030	82	18	=	=	SYM
ejpam-6030	82	19	0	0	X
ejpam-6030	82	20	.	.	PUNCT
ejpam-6030	82	21	(	(	PUNCT
ejpam-6030	82	22	18	18	NUM
ejpam-6030	82	23	)	)	PUNCT
ejpam-6030	82	24	we	we	PRON
ejpam-6030	82	25	take	take	VERB
ejpam-6030	82	26	θ	θ	NOUN
ejpam-6030	82	27	=	=	PUNCT
ejpam-6030	82	28	kζ1	kζ1	NOUN
ejpam-6030	82	29	+	+	NUM
ejpam-6030	82	30	hζ2	hζ2	NOUN
ejpam-6030	82	31	,	,	PUNCT
ejpam-6030	82	32	then	then	ADV
ejpam-6030	82	33	eq.(18	eq.(18	NOUN
ejpam-6030	82	34	)	)	PUNCT
ejpam-6030	82	35	takes	take	VERB
ejpam-6030	82	36	the	the	DET
ejpam-6030	82	37	form	form	NOUN
ejpam-6030	82	38	−2f	−2f	ADP
ejpam-6030	82	39	−	−	PROPN
ejpam-6030	82	40	θf	θf	NOUN
ejpam-6030	82	41	′	′	NOUN
ejpam-6030	83	1	+	+	CCONJ
ejpam-6030	84	1	3pff	3pff	NUM
ejpam-6030	84	2	′	′	NUM
ejpam-6030	85	1	+	+	CCONJ
ejpam-6030	86	1	3[q(k3	3[q(k3	NUM
ejpam-6030	86	2	+	+	NUM
ejpam-6030	86	3	h3	h3	NOUN
ejpam-6030	86	4	)	)	PUNCT
ejpam-6030	87	1	+	+	NUM
ejpam-6030	87	2	r(k2h+	r(k2h+	NOUN
ejpam-6030	87	3	kh2)]f	kh2)]f	NOUN
ejpam-6030	87	4	′′′	′′′	PROPN
ejpam-6030	87	5	=	=	NOUN
ejpam-6030	87	6	0	0	X
ejpam-6030	87	7	.	.	PUNCT
ejpam-6030	88	1	(	(	PUNCT
ejpam-6030	88	2	19	19	NUM
ejpam-6030	88	3	)	)	PUNCT
ejpam-6030	88	4	the	the	DET
ejpam-6030	88	5	following	follow	VERB
ejpam-6030	88	6	formula	formula	NOUN
ejpam-6030	88	7	represents	represent	VERB
ejpam-6030	88	8	the	the	DET
ejpam-6030	88	9	closed	closed	ADJ
ejpam-6030	88	10	form	form	NOUN
ejpam-6030	88	11	solution	solution	NOUN
ejpam-6030	88	12	of	of	ADP
ejpam-6030	88	13	eq	eq	PROPN
ejpam-6030	88	14	.	.	PUNCT
ejpam-6030	89	1	(	(	PUNCT
ejpam-6030	89	2	13	13	NUM
ejpam-6030	89	3	):	):	PUNCT
ejpam-6030	89	4	f	f	PROPN
ejpam-6030	89	5	=	=	SYM
ejpam-6030	89	6	−1	−1	PROPN
ejpam-6030	89	7	pk	pk	NOUN
ejpam-6030	89	8	(	(	PUNCT
ejpam-6030	89	9	ζ1	ζ1	NOUN
ejpam-6030	89	10	+	+	CCONJ
ejpam-6030	89	11	ζ2	ζ2	NOUN
ejpam-6030	89	12	)	)	PUNCT
ejpam-6030	89	13	.	.	PUNCT
ejpam-6030	90	1	(	(	PUNCT
ejpam-6030	90	2	20	20	NUM
ejpam-6030	90	3	)	)	PUNCT
ejpam-6030	90	4	the	the	DET
ejpam-6030	90	5	exact	exact	ADJ
ejpam-6030	90	6	solution	solution	NOUN
ejpam-6030	90	7	of	of	ADP
ejpam-6030	90	8	eq	eq	PROPN
ejpam-6030	90	9	.	.	PUNCT
ejpam-6030	91	1	(	(	PUNCT
ejpam-6030	91	2	1	1	X
ejpam-6030	91	3	)	)	PUNCT
ejpam-6030	91	4	writtes	writte	NOUN
ejpam-6030	91	5	in	in	ADP
ejpam-6030	91	6	the	the	DET
ejpam-6030	91	7	form	form	NOUN
ejpam-6030	91	8	:	:	PUNCT
ejpam-6030	91	9	v(x	v(x	PROPN
ejpam-6030	91	10	,	,	PUNCT
ejpam-6030	91	11	y	y	PROPN
ejpam-6030	91	12	,	,	PUNCT
ejpam-6030	91	13	t	t	PROPN
ejpam-6030	91	14	)	)	PUNCT
ejpam-6030	91	15	=	=	PUNCT
ejpam-6030	92	1	−1	−1	NOUN
ejpam-6030	92	2	pkt	pkt	ADJ
ejpam-6030	92	3	2	2	NUM
ejpam-6030	92	4	3	3	NUM
ejpam-6030	92	5	(	(	PUNCT
ejpam-6030	92	6	k	k	X
ejpam-6030	92	7	(	(	PUNCT
ejpam-6030	92	8	x−	x−	PROPN
ejpam-6030	92	9	3	3	NUM
ejpam-6030	92	10	2	2	NUM
ejpam-6030	92	11	t	t	PROPN
ejpam-6030	92	12	)	)	PUNCT
ejpam-6030	92	13	t	t	NOUN
ejpam-6030	92	14	1	1	NUM
ejpam-6030	92	15	3	3	NUM
ejpam-6030	92	16	+	+	CCONJ
ejpam-6030	92	17	h	h	NOUN
ejpam-6030	92	18	y	y	PROPN
ejpam-6030	92	19	t	t	PROPN
ejpam-6030	92	20	1	1	NUM
ejpam-6030	92	21	3	3	NUM
ejpam-6030	92	22	)	)	PUNCT
ejpam-6030	92	23	(	(	PUNCT
ejpam-6030	92	24	21	21	NUM
ejpam-6030	92	25	)	)	PUNCT
ejpam-6030	92	26	case	case	NOUN
ejpam-6030	92	27	iii	iii	NOUN
ejpam-6030	92	28	:	:	PUNCT
ejpam-6030	92	29	the	the	DET
ejpam-6030	92	30	vectors	vector	NOUN
ejpam-6030	92	31	ofw2,w4	ofw2,w4	PROPN
ejpam-6030	92	32	andw5	andw5	PROPN
ejpam-6030	92	33	are	be	AUX
ejpam-6030	92	34	substituted	substitute	VERB
ejpam-6030	92	35	in	in	ADP
ejpam-6030	92	36	the	the	DET
ejpam-6030	92	37	characteristic	characteristic	ADJ
ejpam-6030	92	38	equation	equation	NOUN
ejpam-6030	92	39	,	,	PUNCT
ejpam-6030	92	40	then	then	ADV
ejpam-6030	92	41	the	the	DET
ejpam-6030	92	42	following	follow	VERB
ejpam-6030	92	43	is	be	AUX
ejpam-6030	92	44	the	the	DET
ejpam-6030	92	45	form	form	NOUN
ejpam-6030	92	46	of	of	ADP
ejpam-6030	92	47	the	the	DET
ejpam-6030	92	48	invariant	invariant	ADJ
ejpam-6030	92	49	variables	variable	NOUN
ejpam-6030	92	50	.	.	PUNCT
ejpam-6030	93	1	ζ1	ζ1	NOUN
ejpam-6030	93	2	=	=	SYM
ejpam-6030	93	3	x−m1	x−m1	SYM
ejpam-6030	93	4	t	t	NOUN
ejpam-6030	93	5	,	,	PUNCT
ejpam-6030	93	6	ζ2	ζ2	NOUN
ejpam-6030	93	7	=	=	SYM
ejpam-6030	93	8	y	y	PROPN
ejpam-6030	93	9	−m2	−m2	PROPN
ejpam-6030	93	10	t	t	PROPN
ejpam-6030	93	11	,	,	PUNCT
ejpam-6030	93	12	v	v	NOUN
ejpam-6030	93	13	=	=	SYM
ejpam-6030	93	14	f	f	PROPN
ejpam-6030	93	15	(	(	PUNCT
ejpam-6030	93	16	ζ1	ζ1	NOUN
ejpam-6030	93	17	,	,	PUNCT
ejpam-6030	93	18	ζ2	ζ2	NOUN
ejpam-6030	93	19	)	)	PUNCT
ejpam-6030	93	20	,	,	PUNCT
ejpam-6030	93	21	(	(	PUNCT
ejpam-6030	93	22	22	22	X
ejpam-6030	93	23	)	)	PUNCT
ejpam-6030	93	24	a.	a.	NOUN
ejpam-6030	93	25	a.	a.	NOUN
ejpam-6030	93	26	gaber	gaber	PROPN
ejpam-6030	93	27	,	,	PUNCT
ejpam-6030	93	28	t.	t.	PROPN
ejpam-6030	93	29	m.	m.	PROPN
ejpam-6030	93	30	younis	younis	PROPN
ejpam-6030	93	31	,	,	PUNCT
ejpam-6030	93	32	m.	m.	PROPN
ejpam-6030	93	33	f.	f.	PROPN
ejpam-6030	93	34	alharbi	alharbi	PROPN
ejpam-6030	93	35	/	/	SYM
ejpam-6030	93	36	eur	eur	PROPN
ejpam-6030	93	37	.	.	PUNCT
ejpam-6030	94	1	j.	j.	PROPN
ejpam-6030	94	2	pure	pure	PROPN
ejpam-6030	94	3	appl	appl	PROPN
ejpam-6030	94	4	.	.	PROPN
ejpam-6030	94	5	math	math	PROPN
ejpam-6030	94	6	,	,	PUNCT
ejpam-6030	94	7	18	18	NUM
ejpam-6030	94	8	(	(	PUNCT
ejpam-6030	94	9	3	3	NUM
ejpam-6030	94	10	)	)	PUNCT
ejpam-6030	94	11	(	(	PUNCT
ejpam-6030	94	12	2025	2025	NUM
ejpam-6030	94	13	)	)	PUNCT
ejpam-6030	94	14	,	,	PUNCT
ejpam-6030	94	15	6030	6030	NUM
ejpam-6030	94	16	6	6	NUM
ejpam-6030	94	17	of	of	ADP
ejpam-6030	94	18	12	12	NUM
ejpam-6030	94	19	utilizing	utilize	VERB
ejpam-6030	94	20	the	the	DET
ejpam-6030	94	21	relations	relation	NOUN
ejpam-6030	94	22	of	of	ADP
ejpam-6030	94	23	eq.(22	eq.(22	NOUN
ejpam-6030	94	24	)	)	PUNCT
ejpam-6030	94	25	to	to	PART
ejpam-6030	94	26	reduce	reduce	VERB
ejpam-6030	94	27	eq.(1	eq.(1	ADJ
ejpam-6030	94	28	)	)	PUNCT
ejpam-6030	94	29	in	in	ADP
ejpam-6030	94	30	the	the	DET
ejpam-6030	94	31	form	form	NOUN
ejpam-6030	94	32	−m1fζ1	−m1fζ1	PROPN
ejpam-6030	94	33	−m2fζ2	−m2fζ2	PROPN
ejpam-6030	94	34	+	+	NUM
ejpam-6030	94	35	pffζ1	pffζ1	NOUN
ejpam-6030	94	36	+	+	CCONJ
ejpam-6030	94	37	q(fζ1ζ1ζ1	q(fζ1ζ1ζ1	NOUN
ejpam-6030	94	38	+	+	CCONJ
ejpam-6030	94	39	fζ2ζ2ζ2	fζ2ζ2ζ2	NOUN
ejpam-6030	94	40	)	)	PUNCT
ejpam-6030	95	1	+	+	CCONJ
ejpam-6030	95	2	r(fζ1ζ2ζ2	r(fζ1ζ2ζ2	ADJ
ejpam-6030	95	3	+	+	CCONJ
ejpam-6030	95	4	fζ2ζ1ζ1	fζ2ζ1ζ1	X
ejpam-6030	95	5	)	)	PUNCT
ejpam-6030	95	6	=	=	SYM
ejpam-6030	95	7	0	0	X
ejpam-6030	95	8	.	.	PUNCT
ejpam-6030	96	1	(	(	PUNCT
ejpam-6030	96	2	23	23	NUM
ejpam-6030	96	3	)	)	PUNCT
ejpam-6030	96	4	we	we	PRON
ejpam-6030	96	5	take	take	VERB
ejpam-6030	96	6	θ	θ	NOUN
ejpam-6030	96	7	=	=	PUNCT
ejpam-6030	96	8	kζ1	kζ1	NOUN
ejpam-6030	96	9	+	+	NUM
ejpam-6030	96	10	hζ2	hζ2	NOUN
ejpam-6030	96	11	,	,	PUNCT
ejpam-6030	96	12	then	then	ADV
ejpam-6030	96	13	eq.(23	eq.(23	NOUN
ejpam-6030	96	14	)	)	PUNCT
ejpam-6030	96	15	takes	take	VERB
ejpam-6030	96	16	the	the	DET
ejpam-6030	96	17	form	form	NOUN
ejpam-6030	96	18	(	(	PUNCT
ejpam-6030	96	19	−m1k	−m1k	PUNCT
ejpam-6030	96	20	−m2h)f	−m2h)f	NOUN
ejpam-6030	96	21	′	′	NOUN
ejpam-6030	97	1	+	+	CCONJ
ejpam-6030	97	2	pkff	pkff	ADJ
ejpam-6030	97	3	′	′	NOUN
ejpam-6030	98	1	+	+	CCONJ
ejpam-6030	99	1	[	[	X
ejpam-6030	99	2	q(k3	q(k3	X
ejpam-6030	99	3	+	+	NUM
ejpam-6030	99	4	h3	h3	NOUN
ejpam-6030	99	5	)	)	PUNCT
ejpam-6030	100	1	+	+	NUM
ejpam-6030	100	2	r(k2h+	r(k2h+	NOUN
ejpam-6030	100	3	kh2)]f	kh2)]f	NOUN
ejpam-6030	100	4	′′′	′′′	PROPN
ejpam-6030	100	5	=	=	NOUN
ejpam-6030	100	6	0	0	X
ejpam-6030	100	7	.	.	PUNCT
ejpam-6030	101	1	(	(	PUNCT
ejpam-6030	101	2	24	24	NUM
ejpam-6030	101	3	)	)	PUNCT
ejpam-6030	101	4	we	we	PRON
ejpam-6030	101	5	employ	employ	VERB
ejpam-6030	101	6	kudryashov	kudryashov	PROPN
ejpam-6030	101	7	-	-	PUNCT
ejpam-6030	101	8	auxaliry	auxaliry	PROPN
ejpam-6030	101	9	method	method	NOUN
ejpam-6030	101	10	[	[	X
ejpam-6030	101	11	23	23	NUM
ejpam-6030	101	12	]	]	PUNCT
ejpam-6030	101	13	,	,	PUNCT
ejpam-6030	101	14	which	which	PRON
ejpam-6030	101	15	is	be	AUX
ejpam-6030	101	16	expressed	express	VERB
ejpam-6030	101	17	as	as	SCONJ
ejpam-6030	101	18	follows	follow	VERB
ejpam-6030	101	19	:	:	PUNCT
ejpam-6030	101	20	f	f	PROPN
ejpam-6030	101	21	(	(	PUNCT
ejpam-6030	101	22	θ	θ	NOUN
ejpam-6030	101	23	)	)	PUNCT
ejpam-6030	101	24	=	=	SYM
ejpam-6030	101	25	a0	a0	PROPN
ejpam-6030	101	26	+	+	CCONJ
ejpam-6030	101	27	m∑	m∑	INTJ
ejpam-6030	101	28	i=1	i=1	PROPN
ejpam-6030	101	29	ai	ai	VERB
ejpam-6030	102	1	[	[	X
ejpam-6030	102	2	1	1	NUM
ejpam-6030	102	3	+	+	ADP
ejpam-6030	102	4	ψ(θ)]i	ψ(θ)]i	PROPN
ejpam-6030	102	5	,	,	PUNCT
ejpam-6030	102	6	(	(	PUNCT
ejpam-6030	102	7	25	25	NUM
ejpam-6030	102	8	)	)	PUNCT
ejpam-6030	103	1	where	where	SCONJ
ejpam-6030	103	2	ψ(θ	ψ(θ	NOUN
ejpam-6030	103	3	)	)	PUNCT
ejpam-6030	103	4	satisfies	satisfy	VERB
ejpam-6030	103	5	the	the	DET
ejpam-6030	103	6	following	follow	VERB
ejpam-6030	103	7	auxaliry	auxaliry	ADJ
ejpam-6030	103	8	equation	equation	NOUN
ejpam-6030	103	9	[	[	X
ejpam-6030	103	10	23	23	NUM
ejpam-6030	103	11	]	]	SYM
ejpam-6030	103	12	ψ′(θ	ψ′(θ	NOUN
ejpam-6030	103	13	)	)	PUNCT
ejpam-6030	103	14	=	=	SYM
ejpam-6030	103	15	r+q	r+q	NUM
ejpam-6030	103	16	ψ2(θ	ψ2(θ	X
ejpam-6030	103	17	)	)	PUNCT
ejpam-6030	104	1	+	+	CCONJ
ejpam-6030	104	2	p	p	NOUN
ejpam-6030	104	3	ψ4(θ	ψ4(θ	NOUN
ejpam-6030	104	4	)	)	PUNCT
ejpam-6030	104	5	,	,	PUNCT
ejpam-6030	104	6	(	(	PUNCT
ejpam-6030	104	7	26	26	NUM
ejpam-6030	104	8	)	)	PUNCT
ejpam-6030	104	9	balncing	balnce	VERB
ejpam-6030	104	10	between	between	ADP
ejpam-6030	104	11	linear	linear	ADJ
ejpam-6030	104	12	term	term	NOUN
ejpam-6030	105	1	f	f	X
ejpam-6030	105	2	′′′	′′′	NOUN
ejpam-6030	105	3	and	and	CCONJ
ejpam-6030	105	4	non	non	ADJ
ejpam-6030	105	5	linear	linear	ADJ
ejpam-6030	105	6	term	term	NOUN
ejpam-6030	105	7	ff	ff	PROPN
ejpam-6030	105	8	′	′	NOUN
ejpam-6030	105	9	,	,	PUNCT
ejpam-6030	105	10	we	we	PRON
ejpam-6030	105	11	get	get	VERB
ejpam-6030	105	12	f	f	PROPN
ejpam-6030	105	13	(	(	PUNCT
ejpam-6030	105	14	θ	θ	NOUN
ejpam-6030	105	15	)	)	PUNCT
ejpam-6030	105	16	=	=	SYM
ejpam-6030	105	17	a0	a0	NOUN
ejpam-6030	105	18	+	+	CCONJ
ejpam-6030	105	19	a1	a1	NOUN
ejpam-6030	105	20	1	1	NUM
ejpam-6030	105	21	+	+	NOUN
ejpam-6030	105	22	ψ(θ	ψ(θ	X
ejpam-6030	105	23	)	)	PUNCT
ejpam-6030	106	1	+	+	NUM
ejpam-6030	106	2	a2	a2	PROPN
ejpam-6030	107	1	[	[	X
ejpam-6030	107	2	1	1	NUM
ejpam-6030	107	3	+	+	NUM
ejpam-6030	107	4	ψ(θ)]2	ψ(θ)]2	NOUN
ejpam-6030	107	5	.	.	PUNCT
ejpam-6030	108	1	(	(	PUNCT
ejpam-6030	108	2	27	27	NUM
ejpam-6030	108	3	)	)	PUNCT
ejpam-6030	108	4	substituting	substituting	NOUN
ejpam-6030	108	5	(	(	PUNCT
ejpam-6030	108	6	27	27	NUM
ejpam-6030	108	7	)	)	PUNCT
ejpam-6030	108	8	into	into	ADP
ejpam-6030	108	9	(	(	PUNCT
ejpam-6030	108	10	24	24	NUM
ejpam-6030	108	11	)	)	PUNCT
ejpam-6030	108	12	and	and	CCONJ
ejpam-6030	108	13	equating	equate	VERB
ejpam-6030	108	14	the	the	DET
ejpam-6030	108	15	coefficients	coefficient	NOUN
ejpam-6030	108	16	of	of	ADP
ejpam-6030	108	17	all	all	DET
ejpam-6030	108	18	powers	power	NOUN
ejpam-6030	108	19	of	of	ADP
ejpam-6030	108	20	ψ(θ	ψ(θ	NOUN
ejpam-6030	108	21	)	)	PUNCT
ejpam-6030	108	22	to	to	ADP
ejpam-6030	108	23	zero	zero	NUM
ejpam-6030	108	24	.	.	PUNCT
ejpam-6030	109	1	utilizing	utilize	VERB
ejpam-6030	109	2	maple	maple	NOUN
ejpam-6030	109	3	for	for	ADP
ejpam-6030	109	4	solving	solve	VERB
ejpam-6030	109	5	the	the	DET
ejpam-6030	109	6	algebraic	algebraic	ADJ
ejpam-6030	109	7	equations	equation	NOUN
ejpam-6030	109	8	of	of	ADP
ejpam-6030	109	9	ai	ai	VERB
ejpam-6030	109	10	,	,	PUNCT
ejpam-6030	109	11	we	we	PRON
ejpam-6030	109	12	get	get	VERB
ejpam-6030	109	13	:	:	PUNCT
ejpam-6030	109	14	a1	a1	NOUN
ejpam-6030	109	15	=	=	SYM
ejpam-6030	109	16	6	6	NUM
ejpam-6030	109	17	pm1k	pm1k	PROPN
ejpam-6030	109	18	(	(	PUNCT
ejpam-6030	109	19	2qk3p	2qk3p	NUM
ejpam-6030	110	1	+	+	CCONJ
ejpam-6030	110	2	2rk2hp	2rk2hp	NUM
ejpam-6030	110	3	+	+	NUM
ejpam-6030	110	4	2rkh2p	2rkh2p	NUM
ejpam-6030	110	5	+	+	CCONJ
ejpam-6030	110	6	rkh2q+	rkh2q+	VERB
ejpam-6030	110	7	qh3q+	qh3q+	PROPN
ejpam-6030	110	8	2qh3p	2qh3p	NUM
ejpam-6030	110	9	+	+	CCONJ
ejpam-6030	110	10	qk3q+	qk3q+	PROPN
ejpam-6030	110	11	rk2hq	rk2hq	NUM
ejpam-6030	110	12	)	)	PUNCT
ejpam-6030	110	13	,	,	PUNCT
ejpam-6030	110	14	r	r	NOUN
ejpam-6030	110	15	=	=	PUNCT
ejpam-6030	110	16	−(p	−(p	NOUN
ejpam-6030	111	1	+	+	NOUN
ejpam-6030	111	2	q	q	NOUN
ejpam-6030	111	3	)	)	PUNCT
ejpam-6030	111	4	m2	m2	PROPN
ejpam-6030	111	5	=	=	SYM
ejpam-6030	111	6	1	1	NUM
ejpam-6030	111	7	h	h	NOUN
ejpam-6030	111	8	(	(	PUNCT
ejpam-6030	111	9	6qk3p	6qk3p	NUM
ejpam-6030	112	1	+	+	CCONJ
ejpam-6030	112	2	6rk2ph(1	6rk2ph(1	NUM
ejpam-6030	112	3	+	+	NUM
ejpam-6030	112	4	h	h	NOUN
ejpam-6030	112	5	)	)	PUNCT
ejpam-6030	113	1	+	+	CCONJ
ejpam-6030	113	2	rkhq(k	rkhq(k	PRON
ejpam-6030	113	3	+	+	CCONJ
ejpam-6030	113	4	h	h	NOUN
ejpam-6030	113	5	)	)	PUNCT
ejpam-6030	113	6	+	+	CCONJ
ejpam-6030	113	7	qh3q+	qh3q+	NUM
ejpam-6030	113	8	6qh3p	6qh3p	PRON
ejpam-6030	114	1	+	+	CCONJ
ejpam-6030	114	2	pm1ka0	pm1ka0	X
ejpam-6030	114	3	−m1k	−m1k	PUNCT
ejpam-6030	114	4	+	+	PUNCT
ejpam-6030	114	5	qk3q	qk3q	NOUN
ejpam-6030	114	6	)	)	PUNCT
ejpam-6030	114	7	.	.	PUNCT
ejpam-6030	115	1	(	(	PUNCT
ejpam-6030	115	2	28	28	NUM
ejpam-6030	115	3	)	)	PUNCT
ejpam-6030	115	4	the	the	DET
ejpam-6030	115	5	appropriate	appropriate	ADJ
ejpam-6030	115	6	solitary	solitary	ADJ
ejpam-6030	115	7	wave	wave	NOUN
ejpam-6030	115	8	solutions	solution	NOUN
ejpam-6030	115	9	of	of	ADP
ejpam-6030	115	10	eq.(2	eq.(2	ADJ
ejpam-6030	115	11	)	)	PUNCT
ejpam-6030	115	12	yield	yield	NOUN
ejpam-6030	115	13	:	:	PUNCT
ejpam-6030	115	14	case	case	NOUN
ejpam-6030	115	15	1	1	NUM
ejpam-6030	115	16	:	:	PUNCT
ejpam-6030	115	17	p	p	X
ejpam-6030	115	18	=	=	SYM
ejpam-6030	115	19	1	1	NUM
ejpam-6030	115	20	,	,	PUNCT
ejpam-6030	115	21	q	q	NOUN
ejpam-6030	115	22	=	=	NOUN
ejpam-6030	115	23	1	1	NUM
ejpam-6030	115	24	,	,	PUNCT
ejpam-6030	115	25	r	r	NOUN
ejpam-6030	115	26	=	=	SYM
ejpam-6030	115	27	0	0	NUM
ejpam-6030	115	28	,	,	PUNCT
ejpam-6030	115	29	v(x	v(x	PROPN
ejpam-6030	115	30	,	,	PUNCT
ejpam-6030	115	31	y	y	PROPN
ejpam-6030	115	32	,	,	PUNCT
ejpam-6030	115	33	t	t	PROPN
ejpam-6030	115	34	)	)	PUNCT
ejpam-6030	115	35	=	=	PROPN
ejpam-6030	115	36	a0	a0	PROPN
ejpam-6030	115	37	+	+	CCONJ
ejpam-6030	115	38	6h2(qm3	6h2(qm3	PROPN
ejpam-6030	116	1	+	+	CCONJ
ejpam-6030	116	2	2qm3	2qm3	NUM
ejpam-6030	116	3	−	−	NOUN
ejpam-6030	116	4	q	q	NOUN
ejpam-6030	117	1	−	−	NOUN
ejpam-6030	117	2	2q	2q	NOUN
ejpam-6030	117	3	−m2r	−m2r	NUM
ejpam-6030	117	4	−	−	NUM
ejpam-6030	117	5	2m2r	2m2r	NUM
ejpam-6030	118	1	+	+	CCONJ
ejpam-6030	118	2	2rm+	2rm+	NUM
ejpam-6030	118	3	rm	rm	NOUN
ejpam-6030	118	4	)	)	PUNCT
ejpam-6030	118	5	pm[1	pm[1	PROPN
ejpam-6030	118	6	+	+	CCONJ
ejpam-6030	118	7	csc	csc	PROPN
ejpam-6030	118	8	(	(	PUNCT
ejpam-6030	118	9	k(x−m1	k(x−m1	PROPN
ejpam-6030	118	10	)	)	PUNCT
ejpam-6030	119	1	+	+	NUM
ejpam-6030	119	2	h(y	h(y	ADV
ejpam-6030	119	3	−m2	−m2	NOUN
ejpam-6030	119	4	)	)	PUNCT
ejpam-6030	119	5	)	)	PUNCT
ejpam-6030	119	6	]	]	PUNCT
ejpam-6030	119	7	.	.	PUNCT
ejpam-6030	120	1	(	(	PUNCT
ejpam-6030	120	2	29	29	NUM
ejpam-6030	120	3	)	)	PUNCT
ejpam-6030	120	4	where	where	SCONJ
ejpam-6030	120	5	a0=	a0=	PROPN
ejpam-6030	120	6	−1	−1	NOUN
ejpam-6030	120	7	pmh(−6h3(rm2	pmh(−6h3(rm2	PROPN
ejpam-6030	120	8	+	+	CCONJ
ejpam-6030	120	9	h3q	h3q	ADJ
ejpam-6030	120	10	)	)	PUNCT
ejpam-6030	121	1	+	+	NUM
ejpam-6030	121	2	h3qm3	h3qm3	NOUN
ejpam-6030	121	3	+	+	CCONJ
ejpam-6030	121	4	6h3qm(m2	6h3qm(m2	NUM
ejpam-6030	121	5	+	+	NOUN
ejpam-6030	121	6	1	1	NUM
ejpam-6030	121	7	)	)	PUNCT
ejpam-6030	122	1	+	+	CCONJ
ejpam-6030	123	1	hqrm(1−m)−	hqrm(1−m)−	VERB
ejpam-6030	123	2	h3q	h3q	ADJ
ejpam-6030	123	3	−	−	PROPN
ejpam-6030	123	4	k	k	NOUN
ejpam-6030	123	5	)	)	PUNCT
ejpam-6030	123	6	.	.	PUNCT
ejpam-6030	124	1	case	case	NOUN
ejpam-6030	124	2	2	2	NUM
ejpam-6030	124	3	:	:	PUNCT
ejpam-6030	124	4	p	p	NOUN
ejpam-6030	124	5	=	=	SYM
ejpam-6030	124	6	1	1	NUM
ejpam-6030	124	7	,	,	PUNCT
ejpam-6030	124	8	q	q	NOUN
ejpam-6030	124	9	=	=	SYM
ejpam-6030	124	10	−1	−1	NOUN
ejpam-6030	124	11	,	,	PUNCT
ejpam-6030	124	12	r	r	NOUN
ejpam-6030	124	13	=	=	SYM
ejpam-6030	124	14	1	1	NUM
ejpam-6030	124	15	,	,	PUNCT
ejpam-6030	124	16	v(x	v(x	PROPN
ejpam-6030	124	17	,	,	PUNCT
ejpam-6030	124	18	y	y	PROPN
ejpam-6030	124	19	,	,	PUNCT
ejpam-6030	124	20	t	t	PROPN
ejpam-6030	124	21	)	)	PUNCT
ejpam-6030	124	22	=	=	PROPN
ejpam-6030	124	23	a0	a0	PROPN
ejpam-6030	124	24	+	+	CCONJ
ejpam-6030	124	25	h2(qm3	h2(qm3	PROPN
ejpam-6030	125	1	−	−	PROPN
ejpam-6030	125	2	2qmp	2qmp	PROPN
ejpam-6030	125	3	−	−	PROPN
ejpam-6030	125	4	q	q	NOUN
ejpam-6030	126	1	+	+	NUM
ejpam-6030	126	2	2q	2q	NUM
ejpam-6030	126	3	−m2r	−m2r	PUNCT
ejpam-6030	127	1	+	+	CCONJ
ejpam-6030	128	1	2m2r	2m2r	NUM
ejpam-6030	128	2	−	−	NOUN
ejpam-6030	128	3	2rm+	2rm+	NUM
ejpam-6030	128	4	rm	rm	PROPN
ejpam-6030	128	5	)	)	PUNCT
ejpam-6030	128	6	pm[1	pm[1	PROPN
ejpam-6030	128	7	+	+	CCONJ
ejpam-6030	128	8	tan	tan	PROPN
ejpam-6030	128	9	(	(	PUNCT
ejpam-6030	128	10	k(x−m1	k(x−m1	PROPN
ejpam-6030	128	11	)	)	PUNCT
ejpam-6030	129	1	+	+	NUM
ejpam-6030	129	2	h(y	h(y	ADV
ejpam-6030	129	3	−m2	−m2	NOUN
ejpam-6030	129	4	)	)	PUNCT
ejpam-6030	129	5	)	)	PUNCT
ejpam-6030	129	6	]	]	PUNCT
ejpam-6030	129	7	.	.	PUNCT
ejpam-6030	130	1	(	(	PUNCT
ejpam-6030	130	2	30	30	NUM
ejpam-6030	130	3	)	)	PUNCT
ejpam-6030	130	4	where	where	SCONJ
ejpam-6030	130	5	a0=	a0=	PROPN
ejpam-6030	130	6	−1	−1	NOUN
ejpam-6030	130	7	pmh(6h	pmh(6h	NOUN
ejpam-6030	130	8	3(rm2	3(rm2	NUM
ejpam-6030	130	9	+	+	CCONJ
ejpam-6030	130	10	h3q	h3q	ADJ
ejpam-6030	130	11	)	)	PUNCT
ejpam-6030	130	12	+	+	NUM
ejpam-6030	130	13	h3qm3	h3qm3	PROPN
ejpam-6030	130	14	−	−	PROPN
ejpam-6030	130	15	6h3qm(m2	6h3qm(m2	NUM
ejpam-6030	130	16	+	+	NOUN
ejpam-6030	130	17	1	1	NUM
ejpam-6030	130	18	)	)	PUNCT
ejpam-6030	130	19	+	+	CCONJ
ejpam-6030	130	20	h3rm(1−m)−	h3rm(1−m)−	NUM
ejpam-6030	130	21	h3q	h3q	ADJ
ejpam-6030	130	22	−	−	PROPN
ejpam-6030	130	23	k	k	NOUN
ejpam-6030	130	24	)	)	PUNCT
ejpam-6030	130	25	.	.	PUNCT
ejpam-6030	131	1	case	case	NOUN
ejpam-6030	131	2	3	3	NUM
ejpam-6030	131	3	:	:	PUNCT
ejpam-6030	131	4	p	p	X
ejpam-6030	131	5	=	=	SYM
ejpam-6030	131	6	0	0	NUM
ejpam-6030	131	7	,	,	PUNCT
ejpam-6030	131	8	q	q	NOUN
ejpam-6030	131	9	=	=	SYM
ejpam-6030	131	10	−1	−1	NOUN
ejpam-6030	131	11	,	,	PUNCT
ejpam-6030	131	12	r	r	NOUN
ejpam-6030	131	13	=	=	SYM
ejpam-6030	131	14	1	1	NUM
ejpam-6030	131	15	,	,	PUNCT
ejpam-6030	131	16	v(x	v(x	PROPN
ejpam-6030	131	17	,	,	PUNCT
ejpam-6030	131	18	y	y	PROPN
ejpam-6030	131	19	,	,	PUNCT
ejpam-6030	131	20	t	t	PROPN
ejpam-6030	131	21	)	)	PUNCT
ejpam-6030	131	22	=	=	PROPN
ejpam-6030	131	23	a0	a0	PROPN
ejpam-6030	131	24	+	+	CCONJ
ejpam-6030	131	25	6h2(qm3	6h2(qm3	PROPN
ejpam-6030	132	1	−	−	PROPN
ejpam-6030	132	2	q	q	NOUN
ejpam-6030	132	3	−m2r	−m2r	PUNCT
ejpam-6030	132	4	+	+	NUM
ejpam-6030	132	5	rm)6h2(qm3	rm)6h2(qm3	NOUN
ejpam-6030	132	6	−	−	NOUN
ejpam-6030	132	7	q	q	NOUN
ejpam-6030	132	8	−m2r	−m2r	PUNCT
ejpam-6030	132	9	+	+	CCONJ
ejpam-6030	132	10	rm	rm	PROPN
ejpam-6030	132	11	)	)	PUNCT
ejpam-6030	132	12	pm[1	pm[1	PROPN
ejpam-6030	132	13	+	+	CCONJ
ejpam-6030	132	14	sin	sin	NOUN
ejpam-6030	132	15	(	(	PUNCT
ejpam-6030	132	16	k(x−m1	k(x−m1	PROPN
ejpam-6030	132	17	)	)	PUNCT
ejpam-6030	133	1	+	+	NUM
ejpam-6030	133	2	h(y	h(y	ADV
ejpam-6030	133	3	−m2	−m2	NOUN
ejpam-6030	133	4	)	)	PUNCT
ejpam-6030	133	5	)	)	PUNCT
ejpam-6030	133	6	]	]	PUNCT
ejpam-6030	133	7	.	.	PUNCT
ejpam-6030	134	1	(	(	PUNCT
ejpam-6030	134	2	31	31	NUM
ejpam-6030	134	3	)	)	PUNCT
ejpam-6030	134	4	a.	a.	NOUN
ejpam-6030	134	5	a.	a.	NOUN
ejpam-6030	134	6	gaber	gaber	PROPN
ejpam-6030	134	7	,	,	PUNCT
ejpam-6030	134	8	t.	t.	PROPN
ejpam-6030	134	9	m.	m.	PROPN
ejpam-6030	134	10	younis	younis	PROPN
ejpam-6030	134	11	,	,	PUNCT
ejpam-6030	134	12	m.	m.	PROPN
ejpam-6030	134	13	f.	f.	PROPN
ejpam-6030	134	14	alharbi	alharbi	PROPN
ejpam-6030	134	15	/	/	SYM
ejpam-6030	134	16	eur	eur	PROPN
ejpam-6030	134	17	.	.	PUNCT
ejpam-6030	135	1	j.	j.	PROPN
ejpam-6030	135	2	pure	pure	PROPN
ejpam-6030	135	3	appl	appl	PROPN
ejpam-6030	135	4	.	.	PROPN
ejpam-6030	135	5	math	math	PROPN
ejpam-6030	135	6	,	,	PUNCT
ejpam-6030	135	7	18	18	NUM
ejpam-6030	135	8	(	(	PUNCT
ejpam-6030	135	9	3	3	NUM
ejpam-6030	135	10	)	)	PUNCT
ejpam-6030	135	11	(	(	PUNCT
ejpam-6030	135	12	2025	2025	NUM
ejpam-6030	135	13	)	)	PUNCT
ejpam-6030	135	14	,	,	PUNCT
ejpam-6030	135	15	6030	6030	NUM
ejpam-6030	135	16	7	7	NUM
ejpam-6030	135	17	of	of	ADP
ejpam-6030	135	18	12	12	NUM
ejpam-6030	135	19	figure	figure	NOUN
ejpam-6030	135	20	3	3	NUM
ejpam-6030	135	21	:	:	PUNCT
ejpam-6030	135	22	the	the	DET
ejpam-6030	135	23	single	single	ADJ
ejpam-6030	135	24	wave	wave	NOUN
ejpam-6030	135	25	solution	solution	NOUN
ejpam-6030	135	26	of	of	ADP
ejpam-6030	135	27	(	(	PUNCT
ejpam-6030	135	28	29	29	NUM
ejpam-6030	135	29	)	)	PUNCT
ejpam-6030	135	30	.	.	PUNCT
ejpam-6030	136	1	figure	figure	VERB
ejpam-6030	136	2	4	4	NUM
ejpam-6030	136	3	:	:	PUNCT
ejpam-6030	136	4	the	the	DET
ejpam-6030	136	5	multi	multi	ADJ
ejpam-6030	136	6	-	-	ADJ
ejpam-6030	136	7	soliton	soliton	ADJ
ejpam-6030	136	8	solution	solution	NOUN
ejpam-6030	136	9	of	of	ADP
ejpam-6030	136	10	(	(	PUNCT
ejpam-6030	136	11	30	30	NUM
ejpam-6030	136	12	)	)	PUNCT
ejpam-6030	136	13	.	.	PUNCT
ejpam-6030	137	1	where	where	SCONJ
ejpam-6030	137	2	a0=	a0=	NOUN
ejpam-6030	137	3	−1	−1	NOUN
ejpam-6030	137	4	pmh(h	pmh(h	NOUN
ejpam-6030	137	5	3qm3	3qm3	NUM
ejpam-6030	138	1	+	+	CCONJ
ejpam-6030	138	2	h3rm(1−m)−	h3rm(1−m)−	NUM
ejpam-6030	138	3	h3q	h3q	ADJ
ejpam-6030	138	4	−	−	PROPN
ejpam-6030	138	5	k	k	NOUN
ejpam-6030	138	6	)	)	PUNCT
ejpam-6030	138	7	.	.	PUNCT
ejpam-6030	139	1	case	case	NOUN
ejpam-6030	139	2	iv	iv	ADP
ejpam-6030	139	3	:	:	PUNCT
ejpam-6030	139	4	utilizing	utilize	VERB
ejpam-6030	139	5	vectors	vector	NOUN
ejpam-6030	139	6	w4	w4	NOUN
ejpam-6030	139	7	and	and	CCONJ
ejpam-6030	139	8	w5	w5	PROPN
ejpam-6030	139	9	for	for	ADP
ejpam-6030	139	10	obtainig	obtainig	PROPN
ejpam-6030	139	11	the	the	DET
ejpam-6030	139	12	invariant	invariant	ADJ
ejpam-6030	139	13	variables	variable	NOUN
ejpam-6030	139	14	as	as	ADP
ejpam-6030	139	15	follow	follow	VERB
ejpam-6030	139	16	ζ1	ζ1	PROPN
ejpam-6030	139	17	=	=	SYM
ejpam-6030	139	18	t	t	PROPN
ejpam-6030	139	19	,	,	PUNCT
ejpam-6030	139	20	ζ2	ζ2	NOUN
ejpam-6030	139	21	=	=	SYM
ejpam-6030	139	22	y	y	PROPN
ejpam-6030	139	23	−mx	−mx	PROPN
ejpam-6030	139	24	,	,	PUNCT
ejpam-6030	139	25	v	v	NOUN
ejpam-6030	139	26	=	=	SYM
ejpam-6030	139	27	f	f	PROPN
ejpam-6030	139	28	(	(	PUNCT
ejpam-6030	139	29	ζ1	ζ1	NOUN
ejpam-6030	139	30	,	,	PUNCT
ejpam-6030	139	31	ζ2	ζ2	NOUN
ejpam-6030	139	32	)	)	PUNCT
ejpam-6030	139	33	,	,	PUNCT
ejpam-6030	139	34	(	(	PUNCT
ejpam-6030	139	35	32	32	NUM
ejpam-6030	139	36	)	)	PUNCT
ejpam-6030	139	37	using	use	VERB
ejpam-6030	139	38	the	the	DET
ejpam-6030	139	39	invariant	invariant	ADJ
ejpam-6030	139	40	variables	variable	NOUN
ejpam-6030	139	41	in	in	ADP
ejpam-6030	139	42	eq.(32	eq.(32	PROPN
ejpam-6030	139	43	)	)	PUNCT
ejpam-6030	139	44	.	.	PUNCT
ejpam-6030	140	1	eq.(1	eq.(1	ADJ
ejpam-6030	140	2	)	)	PUNCT
ejpam-6030	140	3	is	be	AUX
ejpam-6030	140	4	converted	convert	VERB
ejpam-6030	140	5	to	to	ADP
ejpam-6030	140	6	the	the	DET
ejpam-6030	140	7	format	format	NOUN
ejpam-6030	140	8	fζ1	fζ1	NOUN
ejpam-6030	140	9	−	−	PROPN
ejpam-6030	140	10	pmffζ1	pmffζ1	NOUN
ejpam-6030	140	11	+	+	CCONJ
ejpam-6030	140	12	q(−m3fζ1ζ1ζ1	q(−m3fζ1ζ1ζ1	NOUN
ejpam-6030	140	13	+	+	CCONJ
ejpam-6030	140	14	fζ2ζ2ζ2	fζ2ζ2ζ2	NOUN
ejpam-6030	140	15	)	)	PUNCT
ejpam-6030	141	1	+	+	CCONJ
ejpam-6030	141	2	r(m2fζ1ζ2ζ2	r(m2fζ1ζ2ζ2	ADJ
ejpam-6030	141	3	+	+	PUNCT
ejpam-6030	141	4	fζ2ζ1ζ1	fζ2ζ1ζ1	X
ejpam-6030	141	5	)	)	PUNCT
ejpam-6030	141	6	=	=	SYM
ejpam-6030	141	7	0	0	X
ejpam-6030	141	8	.	.	PUNCT
ejpam-6030	142	1	(	(	PUNCT
ejpam-6030	142	2	33	33	NUM
ejpam-6030	142	3	)	)	PUNCT
ejpam-6030	142	4	taking	take	VERB
ejpam-6030	142	5	θ	θ	NOUN
ejpam-6030	142	6	=	=	PUNCT
ejpam-6030	142	7	kζ1	kζ1	NOUN
ejpam-6030	142	8	+	+	NUM
ejpam-6030	142	9	hζ2	hζ2	NOUN
ejpam-6030	142	10	,	,	PUNCT
ejpam-6030	142	11	then	then	ADV
ejpam-6030	142	12	eq	eq	ADP
ejpam-6030	142	13	.	.	PUNCT
ejpam-6030	143	1	(	(	PUNCT
ejpam-6030	143	2	33	33	NUM
ejpam-6030	143	3	)	)	PUNCT
ejpam-6030	143	4	can	can	AUX
ejpam-6030	143	5	be	be	AUX
ejpam-6030	143	6	written	write	VERB
ejpam-6030	143	7	as	as	ADP
ejpam-6030	143	8	following	follow	VERB
ejpam-6030	143	9	kf	kf	PROPN
ejpam-6030	143	10	′	′	NUM
ejpam-6030	143	11	−	−	PROPN
ejpam-6030	143	12	pmhff	pmhff	NOUN
ejpam-6030	143	13	′	′	NOUN
ejpam-6030	144	1	+	+	PUNCT
ejpam-6030	145	1	[	[	X
ejpam-6030	145	2	qh3(−m3	qh3(−m3	X
ejpam-6030	145	3	+	+	NOUN
ejpam-6030	145	4	1	1	NUM
ejpam-6030	145	5	)	)	PUNCT
ejpam-6030	145	6	+	+	NUM
ejpam-6030	145	7	rh3(m2	rh3(m2	NOUN
ejpam-6030	145	8	−	−	PROPN
ejpam-6030	145	9	1)]f	1)]f	NUM
ejpam-6030	145	10	′′′	′′′	PROPN
ejpam-6030	146	1	=	=	NOUN
ejpam-6030	146	2	0	0	PROPN
ejpam-6030	146	3	,	,	PUNCT
ejpam-6030	146	4	(	(	PUNCT
ejpam-6030	146	5	34	34	NUM
ejpam-6030	146	6	)	)	PUNCT
ejpam-6030	146	7	substituting	substitute	VERB
ejpam-6030	146	8	eq.(27	eq.(27	PROPN
ejpam-6030	146	9	)	)	PUNCT
ejpam-6030	146	10	into	into	ADP
ejpam-6030	146	11	eq.(34	eq.(34	NOUN
ejpam-6030	146	12	)	)	PUNCT
ejpam-6030	146	13	,	,	PUNCT
ejpam-6030	146	14	equating	equate	VERB
ejpam-6030	146	15	to	to	ADP
ejpam-6030	146	16	zero	zero	NUM
ejpam-6030	146	17	the	the	DET
ejpam-6030	146	18	coefficients	coefficient	NOUN
ejpam-6030	146	19	of	of	ADP
ejpam-6030	146	20	all	all	DET
ejpam-6030	146	21	powers	power	NOUN
ejpam-6030	146	22	of	of	ADP
ejpam-6030	146	23	ψ(θ	ψ(θ	PROPN
ejpam-6030	146	24	)	)	PUNCT
ejpam-6030	146	25	yields	yield	VERB
ejpam-6030	146	26	a	a	DET
ejpam-6030	146	27	set	set	NOUN
ejpam-6030	146	28	of	of	ADP
ejpam-6030	146	29	algebraic	algebraic	ADJ
ejpam-6030	146	30	equations	equation	NOUN
ejpam-6030	146	31	for	for	ADP
ejpam-6030	146	32	ai	ai	PROPN
ejpam-6030	146	33	.	.	PUNCT
ejpam-6030	147	1	by	by	ADP
ejpam-6030	147	2	applying	apply	VERB
ejpam-6030	147	3	maple	maple	NOUN
ejpam-6030	147	4	we	we	PRON
ejpam-6030	147	5	solve	solve	VERB
ejpam-6030	147	6	this	this	DET
ejpam-6030	147	7	algebraic	algebraic	ADJ
ejpam-6030	147	8	equation	equation	NOUN
ejpam-6030	147	9	,	,	PUNCT
ejpam-6030	147	10	to	to	PART
ejpam-6030	147	11	yield	yield	VERB
ejpam-6030	147	12	a0	a0	NOUN
ejpam-6030	147	13	=	=	SYM
ejpam-6030	147	14	−1	−1	NOUN
ejpam-6030	147	15	pmh	pmh	NOUN
ejpam-6030	147	16	(	(	PUNCT
ejpam-6030	147	17	−6h3p	−6h3p	X
ejpam-6030	147	18	(	(	PUNCT
ejpam-6030	147	19	rm2	rm2	PROPN
ejpam-6030	147	20	+	+	CCONJ
ejpam-6030	147	21	h3q	h3q	ADJ
ejpam-6030	147	22	)	)	PUNCT
ejpam-6030	148	1	+	+	CCONJ
ejpam-6030	148	2	h3qm3q+	h3qm3q+	PROPN
ejpam-6030	148	3	6h3qpm(m2	6h3qpm(m2	NOUN
ejpam-6030	149	1	+	+	CCONJ
ejpam-6030	149	2	1	1	X
ejpam-6030	149	3	)	)	PUNCT
ejpam-6030	149	4	+	+	CCONJ
ejpam-6030	149	5	h3qrm(1−m)−	h3qrm(1−m)−	VERB
ejpam-6030	149	6	h3qq−	h3qq−	NUM
ejpam-6030	149	7	k	k	NOUN
ejpam-6030	149	8	)	)	PUNCT
ejpam-6030	149	9	,	,	PUNCT
ejpam-6030	149	10	a.	a.	PROPN
ejpam-6030	149	11	a.	a.	PROPN
ejpam-6030	149	12	gaber	gaber	PROPN
ejpam-6030	149	13	,	,	PUNCT
ejpam-6030	149	14	t.	t.	PROPN
ejpam-6030	149	15	m.	m.	PROPN
ejpam-6030	149	16	younis	younis	PROPN
ejpam-6030	149	17	,	,	PUNCT
ejpam-6030	149	18	m.	m.	PROPN
ejpam-6030	149	19	f.	f.	PROPN
ejpam-6030	149	20	alharbi	alharbi	PROPN
ejpam-6030	149	21	/	/	SYM
ejpam-6030	149	22	eur	eur	PROPN
ejpam-6030	149	23	.	.	PUNCT
ejpam-6030	150	1	j.	j.	PROPN
ejpam-6030	150	2	pure	pure	PROPN
ejpam-6030	150	3	appl	appl	PROPN
ejpam-6030	150	4	.	.	PROPN
ejpam-6030	150	5	math	math	PROPN
ejpam-6030	150	6	,	,	PUNCT
ejpam-6030	150	7	18	18	NUM
ejpam-6030	150	8	(	(	PUNCT
ejpam-6030	150	9	3	3	NUM
ejpam-6030	150	10	)	)	PUNCT
ejpam-6030	150	11	(	(	PUNCT
ejpam-6030	150	12	2025	2025	NUM
ejpam-6030	150	13	)	)	PUNCT
ejpam-6030	150	14	,	,	PUNCT
ejpam-6030	150	15	6030	6030	NUM
ejpam-6030	150	16	8	8	NUM
ejpam-6030	150	17	of	of	ADP
ejpam-6030	150	18	12	12	NUM
ejpam-6030	150	19	figure	figure	NOUN
ejpam-6030	150	20	5	5	NUM
ejpam-6030	150	21	:	:	PUNCT
ejpam-6030	150	22	the	the	DET
ejpam-6030	150	23	oscillating	oscillating	NOUN
ejpam-6030	150	24	-	-	PUNCT
ejpam-6030	150	25	solitons	soliton	NOUN
ejpam-6030	150	26	solution	solution	NOUN
ejpam-6030	150	27	of	of	ADP
ejpam-6030	150	28	(	(	PUNCT
ejpam-6030	150	29	31	31	NUM
ejpam-6030	150	30	)	)	PUNCT
ejpam-6030	150	31	.	.	PUNCT
ejpam-6030	151	1	figure	figure	VERB
ejpam-6030	151	2	6	6	NUM
ejpam-6030	151	3	:	:	PUNCT
ejpam-6030	151	4	the	the	DET
ejpam-6030	151	5	wave	wave	NOUN
ejpam-6030	151	6	solution	solution	NOUN
ejpam-6030	151	7	solution	solution	NOUN
ejpam-6030	151	8	of	of	ADP
ejpam-6030	151	9	(	(	PUNCT
ejpam-6030	151	10	36	36	NUM
ejpam-6030	151	11	)	)	PUNCT
ejpam-6030	151	12	.	.	PUNCT
ejpam-6030	152	1	a1	a1	NOUN
ejpam-6030	152	2	=	=	SYM
ejpam-6030	152	3	6h2	6h2	NUM
ejpam-6030	152	4	pm	pm	NOUN
ejpam-6030	152	5	(	(	PUNCT
ejpam-6030	152	6	qm3q+	qm3q+	NOUN
ejpam-6030	153	1	2qm3p	2qm3p	NUM
ejpam-6030	153	2	−	−	NOUN
ejpam-6030	153	3	qq−	qq−	NUM
ejpam-6030	153	4	2qp	2qp	NOUN
ejpam-6030	153	5	−m2rq−	−m2rq−	ADP
ejpam-6030	153	6	2m2rp	2m2rp	NUM
ejpam-6030	153	7	+	+	CCONJ
ejpam-6030	153	8	2rmp	2rmp	NUM
ejpam-6030	153	9	+	+	CCONJ
ejpam-6030	153	10	rmq	rmq	NOUN
ejpam-6030	153	11	)	)	PUNCT
ejpam-6030	153	12	(	(	PUNCT
ejpam-6030	153	13	35	35	NUM
ejpam-6030	153	14	)	)	PUNCT
ejpam-6030	153	15	the	the	DET
ejpam-6030	153	16	general	general	ADJ
ejpam-6030	153	17	exact	exact	ADJ
ejpam-6030	153	18	solutions	solution	NOUN
ejpam-6030	153	19	of	of	ADP
ejpam-6030	153	20	eq.(2	eq.(2	NOUN
ejpam-6030	153	21	)	)	PUNCT
ejpam-6030	153	22	taking	take	VERB
ejpam-6030	153	23	form	form	NOUN
ejpam-6030	153	24	case	case	NOUN
ejpam-6030	153	25	1	1	NUM
ejpam-6030	153	26	:	:	PUNCT
ejpam-6030	153	27	p	p	X
ejpam-6030	153	28	=	=	SYM
ejpam-6030	153	29	−1	−1	NOUN
ejpam-6030	153	30	,	,	PUNCT
ejpam-6030	153	31	q	q	NOUN
ejpam-6030	153	32	=	=	NOUN
ejpam-6030	153	33	1	1	NUM
ejpam-6030	153	34	,	,	PUNCT
ejpam-6030	153	35	r	r	NOUN
ejpam-6030	153	36	=	=	SYM
ejpam-6030	153	37	0	0	NUM
ejpam-6030	153	38	,	,	PUNCT
ejpam-6030	153	39	v(x	v(x	PROPN
ejpam-6030	153	40	,	,	PUNCT
ejpam-6030	153	41	y	y	PROPN
ejpam-6030	153	42	,	,	PUNCT
ejpam-6030	153	43	t	t	PROPN
ejpam-6030	153	44	)	)	PUNCT
ejpam-6030	153	45	=	=	PROPN
ejpam-6030	153	46	a0	a0	PROPN
ejpam-6030	153	47	+	+	CCONJ
ejpam-6030	153	48	6h2(qm3	6h2(qm3	PROPN
ejpam-6030	154	1	−	−	PROPN
ejpam-6030	154	2	2qmp	2qmp	PROPN
ejpam-6030	155	1	−	−	PROPN
ejpam-6030	155	2	q	q	NOUN
ejpam-6030	156	1	+	+	NUM
ejpam-6030	156	2	2q	2q	NUM
ejpam-6030	156	3	−m2r	−m2r	PUNCT
ejpam-6030	157	1	+	+	CCONJ
ejpam-6030	158	1	2m2r	2m2r	NUM
ejpam-6030	158	2	−	−	NOUN
ejpam-6030	158	3	2rm+	2rm+	NUM
ejpam-6030	158	4	rm	rm	PROPN
ejpam-6030	158	5	)	)	PUNCT
ejpam-6030	158	6	pm[1	pm[1	PROPN
ejpam-6030	158	7	+	+	CCONJ
ejpam-6030	158	8	sech	sech	NOUN
ejpam-6030	158	9	(	(	PUNCT
ejpam-6030	158	10	kt+	kt+	VERB
ejpam-6030	158	11	h(y	h(y	PROPN
ejpam-6030	158	12	−m2x	−m2x	NUM
ejpam-6030	158	13	)	)	PUNCT
ejpam-6030	158	14	)	)	PUNCT
ejpam-6030	158	15	]	]	PUNCT
ejpam-6030	158	16	.	.	PUNCT
ejpam-6030	159	1	(	(	PUNCT
ejpam-6030	159	2	36	36	NUM
ejpam-6030	159	3	)	)	PUNCT
ejpam-6030	159	4	where	where	SCONJ
ejpam-6030	159	5	a0=	a0=	PROPN
ejpam-6030	159	6	−1	−1	NOUN
ejpam-6030	159	7	pmh(6h	pmh(6h	NOUN
ejpam-6030	159	8	3(rm2	3(rm2	NUM
ejpam-6030	159	9	+	+	CCONJ
ejpam-6030	159	10	h3q	h3q	ADJ
ejpam-6030	159	11	)	)	PUNCT
ejpam-6030	159	12	+	+	NUM
ejpam-6030	159	13	h3qm3	h3qm3	PROPN
ejpam-6030	159	14	−	−	PROPN
ejpam-6030	159	15	6h3qm(m2	6h3qm(m2	NUM
ejpam-6030	159	16	+	+	NOUN
ejpam-6030	159	17	1	1	NUM
ejpam-6030	159	18	)	)	PUNCT
ejpam-6030	160	1	+	+	CCONJ
ejpam-6030	160	2	h3rm(1−m)−	h3rm(1−m)−	NUM
ejpam-6030	160	3	h3q	h3q	ADJ
ejpam-6030	160	4	−	−	PROPN
ejpam-6030	160	5	k	k	NOUN
ejpam-6030	160	6	)	)	PUNCT
ejpam-6030	160	7	.	.	PUNCT
ejpam-6030	161	1	case	case	NOUN
ejpam-6030	161	2	2	2	NUM
ejpam-6030	161	3	:	:	PUNCT
ejpam-6030	161	4	p	p	NOUN
ejpam-6030	161	5	=	=	SYM
ejpam-6030	161	6	1	1	NUM
ejpam-6030	161	7	,	,	PUNCT
ejpam-6030	161	8	q	q	NOUN
ejpam-6030	161	9	=	=	NOUN
ejpam-6030	161	10	1	1	NUM
ejpam-6030	161	11	,	,	PUNCT
ejpam-6030	161	12	r	r	NOUN
ejpam-6030	161	13	=	=	SYM
ejpam-6030	161	14	0	0	NUM
ejpam-6030	161	15	,	,	PUNCT
ejpam-6030	161	16	v(x	v(x	PROPN
ejpam-6030	161	17	,	,	PUNCT
ejpam-6030	161	18	y	y	PROPN
ejpam-6030	161	19	,	,	PUNCT
ejpam-6030	161	20	t	t	PROPN
ejpam-6030	161	21	)	)	PUNCT
ejpam-6030	161	22	=	=	PROPN
ejpam-6030	161	23	a0	a0	PROPN
ejpam-6030	161	24	+	+	CCONJ
ejpam-6030	161	25	6h2(qm3	6h2(qm3	PROPN
ejpam-6030	162	1	+	+	CCONJ
ejpam-6030	162	2	2qm3	2qm3	NUM
ejpam-6030	162	3	−	−	NOUN
ejpam-6030	162	4	q	q	NOUN
ejpam-6030	163	1	−	−	NOUN
ejpam-6030	163	2	2q	2q	NOUN
ejpam-6030	163	3	−m2r	−m2r	NUM
ejpam-6030	163	4	−	−	NUM
ejpam-6030	163	5	2m2r	2m2r	NUM
ejpam-6030	164	1	+	+	CCONJ
ejpam-6030	164	2	2rm+	2rm+	NUM
ejpam-6030	164	3	rm	rm	NOUN
ejpam-6030	164	4	)	)	PUNCT
ejpam-6030	164	5	pm[1	pm[1	PROPN
ejpam-6030	164	6	+	+	CCONJ
ejpam-6030	164	7	csch	csch	PROPN
ejpam-6030	164	8	(	(	PUNCT
ejpam-6030	164	9	kt+	kt+	VERB
ejpam-6030	164	10	h(y	h(y	PROPN
ejpam-6030	164	11	−m2x	−m2x	NUM
ejpam-6030	164	12	)	)	PUNCT
ejpam-6030	164	13	)	)	PUNCT
ejpam-6030	164	14	]	]	PUNCT
ejpam-6030	164	15	.	.	PUNCT
ejpam-6030	165	1	(	(	PUNCT
ejpam-6030	165	2	37	37	NUM
ejpam-6030	165	3	)	)	PUNCT
ejpam-6030	165	4	where	where	SCONJ
ejpam-6030	165	5	a0=	a0=	PROPN
ejpam-6030	165	6	−1	−1	NOUN
ejpam-6030	165	7	pmh(−6h3(rm2	pmh(−6h3(rm2	PROPN
ejpam-6030	165	8	+	+	CCONJ
ejpam-6030	165	9	h3q	h3q	ADJ
ejpam-6030	165	10	)	)	PUNCT
ejpam-6030	166	1	+	+	NUM
ejpam-6030	166	2	h3qm3	h3qm3	NOUN
ejpam-6030	166	3	+	+	CCONJ
ejpam-6030	166	4	6h3qm(m2	6h3qm(m2	NUM
ejpam-6030	166	5	+	+	NOUN
ejpam-6030	166	6	1	1	NUM
ejpam-6030	166	7	)	)	PUNCT
ejpam-6030	167	1	+	+	CCONJ
ejpam-6030	168	1	hqrm(1−m)−	hqrm(1−m)−	VERB
ejpam-6030	168	2	h3q	h3q	ADJ
ejpam-6030	168	3	−	−	PROPN
ejpam-6030	168	4	k	k	NOUN
ejpam-6030	168	5	)	)	PUNCT
ejpam-6030	168	6	.	.	PUNCT
ejpam-6030	169	1	case	case	NOUN
ejpam-6030	169	2	3	3	NUM
ejpam-6030	169	3	:	:	PUNCT
ejpam-6030	169	4	p	p	X
ejpam-6030	169	5	=	=	SYM
ejpam-6030	169	6	0	0	NUM
ejpam-6030	169	7	,	,	PUNCT
ejpam-6030	169	8	q	q	NOUN
ejpam-6030	169	9	=	=	NOUN
ejpam-6030	169	10	1	1	NUM
ejpam-6030	169	11	,	,	PUNCT
ejpam-6030	169	12	r	r	NOUN
ejpam-6030	169	13	=	=	SYM
ejpam-6030	169	14	−1	−1	NOUN
ejpam-6030	169	15	,	,	PUNCT
ejpam-6030	169	16	v(x	v(x	PROPN
ejpam-6030	169	17	,	,	PUNCT
ejpam-6030	169	18	y	y	PROPN
ejpam-6030	169	19	,	,	PUNCT
ejpam-6030	169	20	t	t	PROPN
ejpam-6030	169	21	)	)	PUNCT
ejpam-6030	169	22	=	=	PROPN
ejpam-6030	169	23	a0	a0	PROPN
ejpam-6030	169	24	+	+	CCONJ
ejpam-6030	169	25	6h2(qm3	6h2(qm3	PROPN
ejpam-6030	170	1	−	−	PROPN
ejpam-6030	170	2	q	q	NOUN
ejpam-6030	170	3	−m2r	−m2r	PUNCT
ejpam-6030	170	4	+	+	NUM
ejpam-6030	170	5	rm)6h2(qm3	rm)6h2(qm3	NOUN
ejpam-6030	170	6	−	−	NOUN
ejpam-6030	170	7	q	q	NOUN
ejpam-6030	170	8	−m2r	−m2r	PUNCT
ejpam-6030	170	9	+	+	CCONJ
ejpam-6030	170	10	rm	rm	PROPN
ejpam-6030	170	11	)	)	PUNCT
ejpam-6030	170	12	pm[1	pm[1	PROPN
ejpam-6030	170	13	+	+	CCONJ
ejpam-6030	170	14	cosh	cosh	PROPN
ejpam-6030	170	15	(	(	PUNCT
ejpam-6030	170	16	kt+	kt+	VERB
ejpam-6030	170	17	h(y	h(y	PROPN
ejpam-6030	170	18	−m2x	−m2x	NUM
ejpam-6030	170	19	)	)	PUNCT
ejpam-6030	170	20	)	)	PUNCT
ejpam-6030	170	21	]	]	PUNCT
ejpam-6030	170	22	.	.	PUNCT
ejpam-6030	171	1	(	(	PUNCT
ejpam-6030	171	2	38	38	NUM
ejpam-6030	171	3	)	)	PUNCT
ejpam-6030	171	4	a.	a.	NOUN
ejpam-6030	171	5	a.	a.	NOUN
ejpam-6030	171	6	gaber	gaber	PROPN
ejpam-6030	171	7	,	,	PUNCT
ejpam-6030	171	8	t.	t.	PROPN
ejpam-6030	171	9	m.	m.	PROPN
ejpam-6030	171	10	younis	younis	PROPN
ejpam-6030	171	11	,	,	PUNCT
ejpam-6030	171	12	m.	m.	PROPN
ejpam-6030	171	13	f.	f.	PROPN
ejpam-6030	171	14	alharbi	alharbi	PROPN
ejpam-6030	171	15	/	/	SYM
ejpam-6030	171	16	eur	eur	PROPN
ejpam-6030	171	17	.	.	PUNCT
ejpam-6030	172	1	j.	j.	PROPN
ejpam-6030	172	2	pure	pure	PROPN
ejpam-6030	172	3	appl	appl	PROPN
ejpam-6030	172	4	.	.	PROPN
ejpam-6030	172	5	math	math	PROPN
ejpam-6030	172	6	,	,	PUNCT
ejpam-6030	172	7	18	18	NUM
ejpam-6030	172	8	(	(	PUNCT
ejpam-6030	172	9	3	3	NUM
ejpam-6030	172	10	)	)	PUNCT
ejpam-6030	172	11	(	(	PUNCT
ejpam-6030	172	12	2025	2025	NUM
ejpam-6030	172	13	)	)	PUNCT
ejpam-6030	172	14	,	,	PUNCT
ejpam-6030	172	15	6030	6030	NUM
ejpam-6030	172	16	9	9	NUM
ejpam-6030	172	17	of	of	ADP
ejpam-6030	172	18	12	12	NUM
ejpam-6030	172	19	where	where	SCONJ
ejpam-6030	172	20	a0=	a0=	NOUN
ejpam-6030	172	21	−1	−1	NOUN
ejpam-6030	172	22	pmh(h	pmh(h	NOUN
ejpam-6030	172	23	3qm3	3qm3	NUM
ejpam-6030	172	24	+	+	CCONJ
ejpam-6030	172	25	h3rm(1−m)−	h3rm(1−m)−	NUM
ejpam-6030	172	26	h3q	h3q	ADJ
ejpam-6030	172	27	−	−	PROPN
ejpam-6030	172	28	k	k	NOUN
ejpam-6030	172	29	)	)	PUNCT
ejpam-6030	172	30	.	.	PUNCT
ejpam-6030	173	1	figure	figure	VERB
ejpam-6030	173	2	7	7	NUM
ejpam-6030	173	3	:	:	PUNCT
ejpam-6030	173	4	the	the	DET
ejpam-6030	173	5	wave	wave	NOUN
ejpam-6030	173	6	solution	solution	NOUN
ejpam-6030	173	7	of	of	ADP
ejpam-6030	173	8	(	(	PUNCT
ejpam-6030	173	9	37	37	NUM
ejpam-6030	173	10	)	)	PUNCT
ejpam-6030	173	11	.	.	PUNCT
ejpam-6030	174	1	figure	figure	VERB
ejpam-6030	174	2	8	8	NUM
ejpam-6030	174	3	:	:	PUNCT
ejpam-6030	174	4	the	the	DET
ejpam-6030	174	5	single	single	ADJ
ejpam-6030	174	6	wave	wave	NOUN
ejpam-6030	174	7	solution	solution	NOUN
ejpam-6030	174	8	of	of	ADP
ejpam-6030	174	9	(	(	PUNCT
ejpam-6030	174	10	38	38	NUM
ejpam-6030	174	11	)	)	PUNCT
ejpam-6030	174	12	.	.	PUNCT
ejpam-6030	175	1	4	4	X
ejpam-6030	175	2	.	.	X
ejpam-6030	175	3	discussion	discussion	NOUN
ejpam-6030	175	4	and	and	CCONJ
ejpam-6030	175	5	results	result	NOUN
ejpam-6030	175	6	we	we	PRON
ejpam-6030	175	7	contrast	contrast	VERB
ejpam-6030	175	8	our	our	PRON
ejpam-6030	175	9	exact	exact	ADJ
ejpam-6030	175	10	answers	answer	NOUN
ejpam-6030	175	11	and	and	CCONJ
ejpam-6030	175	12	similarity	similarity	NOUN
ejpam-6030	175	13	reduction	reduction	NOUN
ejpam-6030	175	14	findings	finding	NOUN
ejpam-6030	175	15	with	with	ADP
ejpam-6030	175	16	those	those	PRON
ejpam-6030	175	17	of	of	ADP
ejpam-6030	175	18	earlier	early	ADJ
ejpam-6030	175	19	research	research	NOUN
ejpam-6030	175	20	:	:	PUNCT
ejpam-6030	175	21	1	1	X
ejpam-6030	175	22	)	)	PUNCT
ejpam-6030	175	23	nuruddeen	nuruddeen	ADV
ejpam-6030	175	24	et	et	PROPN
ejpam-6030	175	25	al	al	PROPN
ejpam-6030	175	26	.	.	PUNCT
ejpam-6030	176	1	[	[	X
ejpam-6030	176	2	20	20	NUM
ejpam-6030	176	3	]	]	PUNCT
ejpam-6030	176	4	reduced	reduce	VERB
ejpam-6030	176	5	the	the	DET
ejpam-6030	176	6	govern	govern	ADJ
ejpam-6030	176	7	equation	equation	NOUN
ejpam-6030	176	8	the	the	DET
ejpam-6030	176	9	one	one	NUM
ejpam-6030	176	10	case	case	NOUN
ejpam-6030	176	11	of	of	ADP
ejpam-6030	176	12	ordinary	ordinary	ADJ
ejpam-6030	176	13	differential	differential	ADJ
ejpam-6030	176	14	equations	equation	NOUN
ejpam-6030	176	15	.	.	PUNCT
ejpam-6030	177	1	they	they	PRON
ejpam-6030	177	2	used	use	VERB
ejpam-6030	177	3	the	the	DET
ejpam-6030	177	4	tanh	tanh	NOUN
ejpam-6030	177	5	technique	technique	NOUN
ejpam-6030	177	6	to	to	PART
ejpam-6030	177	7	get	get	VERB
ejpam-6030	177	8	precise	precise	ADJ
ejpam-6030	177	9	answers	answer	NOUN
ejpam-6030	177	10	for	for	ADP
ejpam-6030	177	11	these	these	DET
ejpam-6030	177	12	cases	case	NOUN
ejpam-6030	177	13	.	.	PUNCT
ejpam-6030	178	1	in	in	ADP
ejpam-6030	178	2	our	our	PRON
ejpam-6030	178	3	study	study	NOUN
ejpam-6030	178	4	,	,	PUNCT
ejpam-6030	178	5	we	we	PRON
ejpam-6030	178	6	employed	employ	VERB
ejpam-6030	178	7	a	a	DET
ejpam-6030	178	8	novel	novel	ADJ
ejpam-6030	178	9	traveling	travel	VERB
ejpam-6030	178	10	wave	wave	NOUN
ejpam-6030	178	11	method	method	NOUN
ejpam-6030	178	12	and	and	CCONJ
ejpam-6030	178	13	achieved	achieve	VERB
ejpam-6030	178	14	numerous	numerous	ADJ
ejpam-6030	178	15	accurate	accurate	ADJ
ejpam-6030	178	16	answers	answer	NOUN
ejpam-6030	178	17	for	for	ADP
ejpam-6030	178	18	four	four	NUM
ejpam-6030	178	19	common	common	ADJ
ejpam-6030	178	20	examples	example	NOUN
ejpam-6030	178	21	.	.	PUNCT
ejpam-6030	179	1	2	2	X
ejpam-6030	179	2	)	)	PUNCT
ejpam-6030	179	3	vinita	vinita	NOUN
ejpam-6030	179	4	and	and	CCONJ
ejpam-6030	179	5	ray[21	ray[21	PROPN
ejpam-6030	179	6	]	]	PUNCT
ejpam-6030	179	7	investigated	investigate	VERB
ejpam-6030	179	8	the	the	DET
ejpam-6030	179	9	similarity	similarity	NOUN
ejpam-6030	179	10	reductions	reduction	NOUN
ejpam-6030	179	11	for	for	ADP
ejpam-6030	179	12	the	the	DET
ejpam-6030	179	13	gonvering	gonvere	VERB
ejpam-6030	179	14	equation	equation	NOUN
ejpam-6030	179	15	.	.	PUNCT
ejpam-6030	180	1	their	their	PRON
ejpam-6030	180	2	reductions	reduction	NOUN
ejpam-6030	180	3	,	,	PUNCT
ejpam-6030	180	4	however	however	ADV
ejpam-6030	180	5	,	,	PUNCT
ejpam-6030	180	6	are	be	AUX
ejpam-6030	180	7	subcases	subcase	NOUN
ejpam-6030	180	8	of	of	ADP
ejpam-6030	180	9	ours	ours	PRON
ejpam-6030	180	10	.	.	PUNCT
ejpam-6030	181	1	we	we	PRON
ejpam-6030	181	2	obtained	obtain	VERB
ejpam-6030	181	3	new	new	ADJ
ejpam-6030	181	4	accurate	accurate	ADJ
ejpam-6030	181	5	solutions	solution	NOUN
ejpam-6030	181	6	for	for	ADP
ejpam-6030	181	7	four	four	NUM
ejpam-6030	181	8	general	general	ADJ
ejpam-6030	181	9	examples	example	NOUN
ejpam-6030	181	10	in	in	ADP
ejpam-6030	181	11	our	our	PRON
ejpam-6030	181	12	study	study	NOUN
ejpam-6030	181	13	.	.	PUNCT
ejpam-6030	182	1	a.	a.	PROPN
ejpam-6030	182	2	a.	a.	PROPN
ejpam-6030	182	3	gaber	gaber	PROPN
ejpam-6030	182	4	,	,	PUNCT
ejpam-6030	182	5	t.	t.	PROPN
ejpam-6030	182	6	m.	m.	PROPN
ejpam-6030	182	7	younis	younis	PROPN
ejpam-6030	182	8	,	,	PUNCT
ejpam-6030	182	9	m.	m.	PROPN
ejpam-6030	182	10	f.	f.	PROPN
ejpam-6030	182	11	alharbi	alharbi	PROPN
ejpam-6030	182	12	/	/	SYM
ejpam-6030	182	13	eur	eur	PROPN
ejpam-6030	182	14	.	.	PUNCT
ejpam-6030	183	1	j.	j.	PROPN
ejpam-6030	183	2	pure	pure	PROPN
ejpam-6030	183	3	appl	appl	PROPN
ejpam-6030	183	4	.	.	PROPN
ejpam-6030	183	5	math	math	PROPN
ejpam-6030	183	6	,	,	PUNCT
ejpam-6030	183	7	18	18	NUM
ejpam-6030	183	8	(	(	PUNCT
ejpam-6030	183	9	3	3	NUM
ejpam-6030	183	10	)	)	PUNCT
ejpam-6030	183	11	(	(	PUNCT
ejpam-6030	183	12	2025	2025	NUM
ejpam-6030	183	13	)	)	PUNCT
ejpam-6030	183	14	,	,	PUNCT
ejpam-6030	183	15	6030	6030	NUM
ejpam-6030	183	16	10	10	NUM
ejpam-6030	183	17	of	of	ADP
ejpam-6030	183	18	12	12	NUM
ejpam-6030	183	19	5	5	NUM
ejpam-6030	183	20	.	.	PUNCT
ejpam-6030	183	21	conclusion	conclusion	NOUN
ejpam-6030	183	22	in	in	ADP
ejpam-6030	183	23	this	this	DET
ejpam-6030	183	24	work	work	NOUN
ejpam-6030	183	25	,	,	PUNCT
ejpam-6030	183	26	we	we	PRON
ejpam-6030	183	27	reduced	reduce	VERB
ejpam-6030	183	28	the	the	DET
ejpam-6030	183	29	governing	govern	VERB
ejpam-6030	183	30	equation	equation	NOUN
ejpam-6030	183	31	to	to	ADP
ejpam-6030	183	32	four	four	NUM
ejpam-6030	183	33	distinct	distinct	ADJ
ejpam-6030	183	34	ordinary	ordinary	ADJ
ejpam-6030	183	35	differential	differential	ADJ
ejpam-6030	183	36	equations	equation	NOUN
ejpam-6030	183	37	using	use	VERB
ejpam-6030	183	38	symmetry	symmetry	NOUN
ejpam-6030	183	39	analysis	analysis	NOUN
ejpam-6030	183	40	.	.	PUNCT
ejpam-6030	184	1	in	in	ADP
ejpam-6030	184	2	order	order	NOUN
ejpam-6030	184	3	to	to	PART
ejpam-6030	184	4	generate	generate	VERB
ejpam-6030	184	5	new	new	ADJ
ejpam-6030	184	6	types	type	NOUN
ejpam-6030	184	7	of	of	ADP
ejpam-6030	184	8	solutions	solution	NOUN
ejpam-6030	184	9	,	,	PUNCT
ejpam-6030	184	10	we	we	PRON
ejpam-6030	184	11	finally	finally	ADV
ejpam-6030	184	12	used	use	VERB
ejpam-6030	184	13	traveling	travel	VERB
ejpam-6030	184	14	wave	wave	NOUN
ejpam-6030	184	15	approach	approach	NOUN
ejpam-6030	184	16	called	call	VERB
ejpam-6030	184	17	kam	kam	PROPN
ejpam-6030	184	18	.	.	PUNCT
ejpam-6030	185	1	we	we	PRON
ejpam-6030	185	2	graphed	graph	VERB
ejpam-6030	185	3	the	the	DET
ejpam-6030	185	4	solutions	solution	NOUN
ejpam-6030	185	5	to	to	PART
ejpam-6030	185	6	display	display	VERB
ejpam-6030	185	7	their	their	PRON
ejpam-6030	185	8	attributes	attribute	NOUN
ejpam-6030	185	9	.	.	PUNCT
ejpam-6030	186	1	the	the	DET
ejpam-6030	186	2	solutions	solution	NOUN
ejpam-6030	186	3	that	that	PRON
ejpam-6030	186	4	were	be	AUX
ejpam-6030	186	5	discovered	discover	VERB
ejpam-6030	186	6	are	be	AUX
ejpam-6030	186	7	entirely	entirely	ADV
ejpam-6030	186	8	different	different	ADJ
ejpam-6030	186	9	from	from	ADP
ejpam-6030	186	10	those	those	PRON
ejpam-6030	186	11	that	that	PRON
ejpam-6030	186	12	were	be	AUX
ejpam-6030	186	13	obtained	obtain	VERB
ejpam-6030	186	14	in	in	ADP
ejpam-6030	186	15	earlier	early	ADJ
ejpam-6030	186	16	research	research	NOUN
ejpam-6030	186	17	.	.	PUNCT
ejpam-6030	187	1	acknowledgements	acknowledgement	VERB
ejpam-6030	187	2	the	the	DET
ejpam-6030	187	3	author	author	NOUN
ejpam-6030	187	4	ahmed	ahmed	PROPN
ejpam-6030	187	5	a.	a.	PROPN
ejpam-6030	187	6	gaber	gaber	PROPN
ejpam-6030	187	7	would	would	AUX
ejpam-6030	187	8	like	like	VERB
ejpam-6030	187	9	to	to	PART
ejpam-6030	187	10	thank	thank	VERB
ejpam-6030	187	11	the	the	DET
ejpam-6030	187	12	deanship	deanship	NOUN
ejpam-6030	187	13	of	of	ADP
ejpam-6030	187	14	scientific	scientific	ADJ
ejpam-6030	187	15	research	research	NOUN
ejpam-6030	187	16	,	,	PUNCT
ejpam-6030	187	17	majmaah	majmaah	PROPN
ejpam-6030	187	18	university	university	PROPN
ejpam-6030	187	19	,	,	PUNCT
ejpam-6030	187	20	saudi	saudi	PROPN
ejpam-6030	187	21	arabia	arabia	PROPN
ejpam-6030	187	22	,	,	PUNCT
ejpam-6030	187	23	for	for	ADP
ejpam-6030	187	24	supporting	support	VERB
ejpam-6030	187	25	this	this	DET
ejpam-6030	187	26	work	work	NOUN
ejpam-6030	187	27	under	under	ADP
ejpam-6030	187	28	project	project	NOUN
ejpam-6030	187	29	no	no	INTJ
ejpam-6030	187	30	.	.	PUNCT
ejpam-6030	188	1	r-20251786	r-20251786	NOUN
ejpam-6030	188	2	references	reference	NOUN
ejpam-6030	188	3	[	[	X
ejpam-6030	188	4	1	1	NUM
ejpam-6030	188	5	]	]	X
ejpam-6030	188	6	zang	zang	X
ejpam-6030	188	7	,	,	PUNCT
ejpam-6030	188	8	y.	y.	PROPN
ejpam-6030	188	9	korteweg	korteweg	PROPN
ejpam-6030	188	10	–	–	PUNCT
ejpam-6030	188	11	de	de	PROPN
ejpam-6030	188	12	vries	vries	NOUN
ejpam-6030	188	13	equation	equation	NOUN
ejpam-6030	188	14	(	(	PUNCT
ejpam-6030	188	15	kdv	kdv	PROPN
ejpam-6030	188	16	)	)	PUNCT
ejpam-6030	188	17	,	,	PUNCT
ejpam-6030	188	18	history	history	NOUN
ejpam-6030	188	19	,	,	PUNCT
ejpam-6030	188	20	exact	exact	ADJ
ejpam-6030	188	21	n	n	CCONJ
ejpam-6030	188	22	-	-	PUNCT
ejpam-6030	188	23	soliton	soliton	NOUN
ejpam-6030	188	24	solutions	solution	NOUN
ejpam-6030	188	25	and	and	CCONJ
ejpam-6030	188	26	further	further	ADJ
ejpam-6030	188	27	properties	property	NOUN
ejpam-6030	188	28	of	of	ADP
ejpam-6030	188	29	the	the	PRON
ejpam-6030	188	30	.	.	PUNCT
ejpam-6030	189	1	in	in	ADP
ejpam-6030	189	2	:	:	PUNCT
ejpam-6030	189	3	meyers	meyer	NOUN
ejpam-6030	189	4	,	,	PUNCT
ejpam-6030	189	5	r.	r.	PROPN
ejpam-6030	189	6	(	(	PUNCT
ejpam-6030	189	7	eds	ed	NOUN
ejpam-6030	189	8	)	)	PUNCT
ejpam-6030	189	9	mathematics	mathematic	NOUN
ejpam-6030	189	10	of	of	ADP
ejpam-6030	189	11	complexity	complexity	NOUN
ejpam-6030	189	12	and	and	CCONJ
ejpam-6030	189	13	dynamical	dynamical	ADJ
ejpam-6030	189	14	systems	system	NOUN
ejpam-6030	189	15	.	.	PUNCT
ejpam-6030	190	1	springer	springer	NOUN
ejpam-6030	190	2	,	,	PUNCT
ejpam-6030	190	3	new	new	PROPN
ejpam-6030	190	4	york	york	PROPN
ejpam-6030	190	5	,	,	PUNCT
ejpam-6030	190	6	ny	ny	PROPN
ejpam-6030	190	7	,	,	PUNCT
ejpam-6030	190	8	(	(	PUNCT
ejpam-6030	190	9	2012	2012	NUM
ejpam-6030	190	10	)	)	PUNCT
ejpam-6030	190	11	.	.	PUNCT
ejpam-6030	191	1	https://doi.org/10.1007/9781-4614-1806-1	https://doi.org/10.1007/9781-4614-1806-1	PROPN
ejpam-6030	191	2	52	52	NUM
ejpam-6030	192	1	[	[	X
ejpam-6030	192	2	2	2	X
ejpam-6030	192	3	]	]	PUNCT
ejpam-6030	192	4	yusuf	yusuf	PROPN
ejpam-6030	192	5	a.	a.	PROPN
ejpam-6030	192	6	,	,	PUNCT
ejpam-6030	192	7	sulaiman	sulaiman	PROPN
ejpam-6030	192	8	t.	t.	PROPN
ejpam-6030	192	9	a.	a.	NOUN
ejpam-6030	192	10	,	,	PUNCT
ejpam-6030	192	11	dynamics	dynamic	NOUN
ejpam-6030	192	12	of	of	ADP
ejpam-6030	192	13	lump	lump	NOUN
ejpam-6030	192	14	-	-	PUNCT
ejpam-6030	192	15	periodic	periodic	NOUN
ejpam-6030	192	16	,	,	PUNCT
ejpam-6030	192	17	breather	breather	NOUN
ejpam-6030	192	18	and	and	CCONJ
ejpam-6030	192	19	twowave	twowave	VERB
ejpam-6030	192	20	solutions	solution	NOUN
ejpam-6030	192	21	with	with	ADP
ejpam-6030	192	22	the	the	DET
ejpam-6030	192	23	long	long	ADJ
ejpam-6030	192	24	wave	wave	NOUN
ejpam-6030	192	25	in	in	ADP
ejpam-6030	192	26	shallow	shallow	ADJ
ejpam-6030	192	27	water	water	NOUN
ejpam-6030	192	28	under	under	ADP
ejpam-6030	192	29	gravity	gravity	NOUN
ejpam-6030	192	30	and	and	CCONJ
ejpam-6030	192	31	2d	2d	NUM
ejpam-6030	192	32	nonlinear	nonlinear	PROPN
ejpam-6030	192	33	lattice	lattice	PROPN
ejpam-6030	192	34	,	,	PUNCT
ejpam-6030	192	35	comm	comm	NOUN
ejpam-6030	192	36	.	.	PUNCT
ejpam-6030	193	1	non	non	PROPN
ejpam-6030	193	2	.	.	PROPN
ejpam-6030	193	3	sci	sci	PROPN
ejpam-6030	193	4	.	.	PROPN
ejpam-6030	194	1	and	and	CCONJ
ejpam-6030	194	2	num	num	PROPN
ejpam-6030	194	3	.	.	PUNCT
ejpam-6030	194	4	simul	simul	PROPN
ejpam-6030	194	5	.	.	PROPN
ejpam-6030	194	6	,	,	PUNCT
ejpam-6030	194	7	99	99	NUM
ejpam-6030	194	8	(	(	PUNCT
ejpam-6030	194	9	2021	2021	NUM
ejpam-6030	194	10	)	)	PUNCT
ejpam-6030	194	11	,	,	PUNCT
ejpam-6030	194	12	105846	105846	NUM
ejpam-6030	194	13	,	,	PUNCT
ejpam-6030	194	14	https://doi.org/10.1016/j.cnsns.2021.105846	https://doi.org/10.1016/j.cnsns.2021.105846	NOUN
ejpam-6030	194	15	[	[	X
ejpam-6030	194	16	3	3	NUM
ejpam-6030	194	17	]	]	X
ejpam-6030	194	18	gaber	gaber	PROPN
ejpam-6030	194	19	a.	a.	PROPN
ejpam-6030	194	20	a.	a.	PROPN
ejpam-6030	194	21	,	,	PUNCT
ejpam-6030	194	22	wazwaz	wazwaz	NOUN
ejpam-6030	194	23	a.	a.	NOUN
ejpam-6030	194	24	and	and	CCONJ
ejpam-6030	194	25	mousa	mousa	PROPN
ejpam-6030	194	26	m.	m.	NOUN
ejpam-6030	194	27	m.	m.	NOUN
ejpam-6030	194	28	,similarity	,similarity	PUNCT
ejpam-6030	194	29	reductions	reduction	NOUN
ejpam-6030	194	30	and	and	CCONJ
ejpam-6030	194	31	new	new	ADJ
ejpam-6030	194	32	exact	exact	ADJ
ejpam-6030	194	33	solutions	solution	NOUN
ejpam-6030	194	34	for	for	ADP
ejpam-6030	194	35	(	(	PUNCT
ejpam-6030	194	36	3	3	NUM
ejpam-6030	194	37	+	+	PROPN
ejpam-6030	194	38	1)-dimensional	1)-dimensional	PROPN
ejpam-6030	194	39	b	b	PROPN
ejpam-6030	194	40	–	–	PUNCT
ejpam-6030	194	41	b	b	NOUN
ejpam-6030	194	42	equation	equation	NOUN
ejpam-6030	194	43	,	,	PUNCT
ejpam-6030	194	44	modern	modern	ADJ
ejpam-6030	194	45	physics	physics	NOUN
ejpam-6030	194	46	letters	letter	NOUN
ejpam-6030	194	47	b	b	PROPN
ejpam-6030	194	48	,	,	PUNCT
ejpam-6030	194	49	(	(	PUNCT
ejpam-6030	194	50	2023	2023	NUM
ejpam-6030	194	51	)	)	PUNCT
ejpam-6030	194	52	2350243	2350243	NUM
ejpam-6030	194	53	,	,	PUNCT
ejpam-6030	194	54	10.1142	10.1142	NUM
ejpam-6030	194	55	/	/	SYM
ejpam-6030	195	1	s0217984923502433	s0217984923502433	NOUN
ejpam-6030	196	1	[	[	X
ejpam-6030	196	2	4	4	X
ejpam-6030	196	3	]	]	PUNCT
ejpam-6030	196	4	m.	m.	PROPN
ejpam-6030	196	5	f.	f.	PROPN
ejpam-6030	196	6	el	el	PROPN
ejpam-6030	196	7	-	-	PUNCT
ejpam-6030	196	8	sayed	sayed	PROPN
ejpam-6030	196	9	et	et	PROPN
ejpam-6030	196	10	.	.	PUNCT
ejpam-6030	197	1	al	al	PROPN
ejpam-6030	197	2	,	,	PUNCT
ejpam-6030	197	3	a	a	DET
ejpam-6030	197	4	study	study	NOUN
ejpam-6030	197	5	of	of	ADP
ejpam-6030	197	6	integrability	integrability	NOUN
ejpam-6030	197	7	and	and	CCONJ
ejpam-6030	197	8	symmetry	symmetry	NOUN
ejpam-6030	197	9	for	for	ADP
ejpam-6030	197	10	the	the	DET
ejpam-6030	197	11	(	(	PUNCT
ejpam-6030	197	12	p	p	NOUN
ejpam-6030	197	13	+	+	PROPN
ejpam-6030	197	14	1)th	1)th	NUM
ejpam-6030	197	15	boltzmann	boltzmann	PROPN
ejpam-6030	197	16	equation	equation	NOUN
ejpam-6030	197	17	via	via	ADP
ejpam-6030	197	18	painlevé	painlevé	NOUN
ejpam-6030	197	19	analysis	analysis	NOUN
ejpam-6030	197	20	and	and	CCONJ
ejpam-6030	197	21	lie	lie	NOUN
ejpam-6030	197	22	-	-	PUNCT
ejpam-6030	197	23	group	group	NOUN
ejpam-6030	197	24	method	method	NOUN
ejpam-6030	197	25	,	,	PUNCT
ejpam-6030	197	26	math	math	NOUN
ejpam-6030	197	27	.	.	PUNCT
ejpam-6030	198	1	meth	meth	NOUN
ejpam-6030	198	2	.	.	PUNCT
ejpam-6030	199	1	appl	appl	PROPN
ejpam-6030	199	2	.	.	PUNCT
ejpam-6030	200	1	sci	sci	PROPN
ejpam-6030	200	2	.	.	PROPN
ejpam-6030	200	3	2014	2014	NUM
ejpam-6030	200	4	,	,	PUNCT
ejpam-6030	200	5	10.1002	10.1002	NUM
ejpam-6030	200	6	/	/	SYM
ejpam-6030	200	7	mma.3307	mma.3307	NUM
ejpam-6030	200	8	[	[	X
ejpam-6030	200	9	5	5	NUM
ejpam-6030	200	10	]	]	PUNCT
ejpam-6030	200	11	gaber	gaber	PROPN
ejpam-6030	200	12	a.	a.	PROPN
ejpam-6030	200	13	a.	a.	PROPN
ejpam-6030	200	14	and	and	CCONJ
ejpam-6030	200	15	wazwaz	wazwaz	ADJ
ejpam-6030	200	16	a.	a.	NOUN
ejpam-6030	200	17	,	,	PUNCT
ejpam-6030	200	18	dynamic	dynamic	ADJ
ejpam-6030	200	19	wave	wave	NOUN
ejpam-6030	200	20	solutions	solution	NOUN
ejpam-6030	200	21	for	for	ADP
ejpam-6030	200	22	(	(	PUNCT
ejpam-6030	200	23	2	2	NUM
ejpam-6030	200	24	+	+	NOUN
ejpam-6030	200	25	1)-dimensional	1)-dimensional	ADJ
ejpam-6030	200	26	djkm	djkm	ADJ
ejpam-6030	200	27	equation	equation	NOUN
ejpam-6030	200	28	in	in	ADP
ejpam-6030	200	29	plasma	plasma	NOUN
ejpam-6030	200	30	physic	physic	NOUN
ejpam-6030	200	31	,	,	PUNCT
ejpam-6030	200	32	aims	aim	VERB
ejpam-6030	200	33	mathematics	mathematic	NOUN
ejpam-6030	200	34	,	,	PUNCT
ejpam-6030	200	35	9(3	9(3	NUM
ejpam-6030	200	36	)	)	PUNCT
ejpam-6030	200	37	(	(	PUNCT
ejpam-6030	200	38	2024	2024	NUM
ejpam-6030	200	39	)	)	PUNCT
ejpam-6030	200	40	6060–6072	6060–6072	NOUN
ejpam-6030	201	1	[	[	X
ejpam-6030	201	2	6	6	NUM
ejpam-6030	201	3	]	]	PUNCT
ejpam-6030	201	4	s	s	PART
ejpam-6030	201	5	kumar	kumar	PROPN
ejpam-6030	201	6	,	,	PUNCT
ejpam-6030	201	7	s	s	PART
ejpam-6030	201	8	rani	rani	NOUN
ejpam-6030	201	9	,	,	PUNCT
ejpam-6030	201	10	wx	wx	PROPN
ejpam-6030	201	11	ma	ma	PROPN
ejpam-6030	201	12	.	.	PROPN
ejpam-6030	201	13	,	,	PUNCT
ejpam-6030	201	14	lie	lie	NOUN
ejpam-6030	201	15	symmetries	symmetry	NOUN
ejpam-6030	201	16	,	,	PUNCT
ejpam-6030	201	17	modulation	modulation	NOUN
ejpam-6030	201	18	instability	instability	NOUN
ejpam-6030	201	19	,	,	PUNCT
ejpam-6030	201	20	conservation	conservation	NOUN
ejpam-6030	201	21	laws	law	NOUN
ejpam-6030	201	22	,	,	PUNCT
ejpam-6030	201	23	and	and	CCONJ
ejpam-6030	201	24	the	the	DET
ejpam-6030	201	25	dynamic	dynamic	ADJ
ejpam-6030	201	26	waveform	waveform	NOUN
ejpam-6030	201	27	patterns	pattern	NOUN
ejpam-6030	201	28	of	of	ADP
ejpam-6030	201	29	several	several	ADJ
ejpam-6030	201	30	invariant	invariant	ADJ
ejpam-6030	201	31	solutions	solution	NOUN
ejpam-6030	201	32	to	to	ADP
ejpam-6030	201	33	a	a	DET
ejpam-6030	201	34	(	(	PUNCT
ejpam-6030	201	35	2	2	NUM
ejpam-6030	201	36	+	+	SYM
ejpam-6030	201	37	1)dimensional	1)dimensional	NUM
ejpam-6030	201	38	hirota	hirota	PROPN
ejpam-6030	201	39	bilinear	bilinear	NOUN
ejpam-6030	201	40	equation	equation	NOUN
ejpam-6030	201	41	,	,	PUNCT
ejpam-6030	201	42	discrete	discrete	ADJ
ejpam-6030	201	43	and	and	CCONJ
ejpam-6030	201	44	continuous	continuous	ADJ
ejpam-6030	201	45	dynamical	dynamical	ADJ
ejpam-6030	201	46	systems	system	NOUN
ejpam-6030	201	47	-	-	PUNCT
ejpam-6030	201	48	s	s	NOUN
ejpam-6030	201	49	,	,	PUNCT
ejpam-6030	201	50	18(4	18(4	NUM
ejpam-6030	201	51	)	)	PUNCT
ejpam-6030	201	52	(	(	PUNCT
ejpam-6030	201	53	2025	2025	NUM
ejpam-6030	201	54	)	)	PUNCT
ejpam-6030	201	55	,	,	PUNCT
ejpam-6030	201	56	10.3934	10.3934	NUM
ejpam-6030	201	57	/	/	SYM
ejpam-6030	202	1	dcdss.2024136	dcdss.2024136	PROPN
ejpam-6030	203	1	[	[	X
ejpam-6030	203	2	7	7	X
ejpam-6030	203	3	]	]	X
ejpam-6030	203	4	gaber	gaber	PROPN
ejpam-6030	203	5	a.	a.	PROPN
ejpam-6030	203	6	a.	a.	PROPN
ejpam-6030	203	7	et	et	PROPN
ejpam-6030	203	8	.	.	PUNCT
ejpam-6030	204	1	al	al	PROPN
ejpam-6030	204	2	,	,	PUNCT
ejpam-6030	204	3	the	the	DET
ejpam-6030	204	4	generalized	generalized	ADJ
ejpam-6030	204	5	kudryashov	kudryashov	PROPN
ejpam-6030	204	6	method	method	NOUN
ejpam-6030	204	7	for	for	ADP
ejpam-6030	204	8	nonlinear	nonlinear	ADJ
ejpam-6030	204	9	space	space	NOUN
ejpam-6030	204	10	–	–	PUNCT
ejpam-6030	204	11	time	time	NOUN
ejpam-6030	204	12	fractional	fractional	ADJ
ejpam-6030	204	13	partial	partial	ADJ
ejpam-6030	204	14	differential	differential	ADJ
ejpam-6030	204	15	equations	equation	NOUN
ejpam-6030	204	16	of	of	ADP
ejpam-6030	204	17	burgers	burger	NOUN
ejpam-6030	204	18	type	type	NOUN
ejpam-6030	204	19	nonlinear	nonlinear	ADJ
ejpam-6030	204	20	dynamics	dynamic	NOUN
ejpam-6030	204	21	95	95	NUM
ejpam-6030	204	22	(	(	PUNCT
ejpam-6030	204	23	1	1	NUM
ejpam-6030	204	24	)	)	PUNCT
ejpam-6030	204	25	(	(	PUNCT
ejpam-6030	204	26	2019	2019	NUM
ejpam-6030	204	27	)	)	PUNCT
ejpam-6030	204	28	361	361	NUM
ejpam-6030	204	29	-	-	SYM
ejpam-6030	204	30	368	368	NUM
ejpam-6030	204	31	.	.	PUNCT
ejpam-6030	205	1	[	[	X
ejpam-6030	205	2	8	8	X
ejpam-6030	205	3	]	]	X
ejpam-6030	205	4	moussa	moussa	PROPN
ejpam-6030	205	5	m.h	m.h	PROPN
ejpam-6030	205	6	.	.	PROPN
ejpam-6030	205	7	,	,	PUNCT
ejpam-6030	205	8	gaber	gaber	PROPN
ejpam-6030	205	9	a.	a.	PROPN
ejpam-6030	205	10	a.	a.	PROPN
ejpam-6030	205	11	,	,	PUNCT
ejpam-6030	205	12	symmetry	symmetry	VERB
ejpam-6030	205	13	analysis	analysis	NOUN
ejpam-6030	205	14	and	and	CCONJ
ejpam-6030	205	15	solitary	solitary	ADJ
ejpam-6030	205	16	wave	wave	NOUN
ejpam-6030	205	17	solutions	solution	NOUN
ejpam-6030	205	18	of	of	ADP
ejpam-6030	205	19	nonlinear	nonlinear	ADJ
ejpam-6030	205	20	ion	ion	NOUN
ejpam-6030	205	21	-	-	PUNCT
ejpam-6030	205	22	acoustic	acoustic	ADJ
ejpam-6030	205	23	waves	wave	NOUN
ejpam-6030	205	24	equation	equation	NOUN
ejpam-6030	205	25	.	.	PUNCT
ejpam-6030	206	1	int	int	NOUN
ejpam-6030	206	2	.	.	PUNCT
ejpam-6030	207	1	j.	j.	PROPN
ejpam-6030	207	2	ana	ana	PROPN
ejpam-6030	207	3	.	.	PUNCT
ejpam-6030	208	1	app	app	PROPN
ejpam-6030	208	2	.	.	PROPN
ejpam-6030	208	3	18	18	NUM
ejpam-6030	208	4	(	(	PUNCT
ejpam-6030	208	5	2020	2020	NUM
ejpam-6030	208	6	)	)	PUNCT
ejpam-6030	208	7	,	,	PUNCT
ejpam-6030	208	8	448	448	NUM
ejpam-6030	208	9	-	-	SYM
ejpam-6030	208	10	460	460	NUM
ejpam-6030	208	11	.	.	PUNCT
ejpam-6030	209	1	[	[	X
ejpam-6030	209	2	9	9	NUM
ejpam-6030	209	3	]	]	SYM
ejpam-6030	209	4	beenish	beenish	PROPN
ejpam-6030	209	5	,	,	PUNCT
ejpam-6030	209	6	kurkcu	kurkcu	PROPN
ejpam-6030	209	7	h.	h.	PROPN
ejpam-6030	209	8	,	,	PUNCT
ejpam-6030	209	9	riaz	riaz	PROPN
ejpam-6030	209	10	m.	m.	PROPN
ejpam-6030	209	11	b.	b.	PROPN
ejpam-6030	209	12	,	,	PUNCT
ejpam-6030	209	13	imran	imran	PROPN
ejpam-6030	209	14	m.	m.	NOUN
ejpam-6030	209	15	,	,	PUNCT
ejpam-6030	209	16	jhangeer	jhangeer	NOUN
ejpam-6030	209	17	a.	a.	NOUN
ejpam-6030	209	18	,	,	PUNCT
ejpam-6030	209	19	lie	lie	VERB
ejpam-6030	209	20	analysis	analysis	NOUN
ejpam-6030	209	21	and	and	CCONJ
ejpam-6030	209	22	nonlinear	nonlinear	ADJ
ejpam-6030	209	23	propagating	propagate	VERB
ejpam-6030	209	24	waves	wave	NOUN
ejpam-6030	209	25	of	of	ADP
ejpam-6030	209	26	the	the	DET
ejpam-6030	209	27	(	(	PUNCT
ejpam-6030	209	28	3	3	NUM
ejpam-6030	209	29	+	+	NOUN
ejpam-6030	209	30	1)-dimensional	1)-dimensional	ADJ
ejpam-6030	209	31	generalized	generalized	ADJ
ejpam-6030	209	32	boiti	boiti	NOUN
ejpam-6030	209	33	–	–	PUNCT
ejpam-6030	209	34	leon	leon	PROPN
ejpam-6030	209	35	–	–	PUNCT
ejpam-6030	209	36	a.	a.	NOUN
ejpam-6030	209	37	a.	a.	NOUN
ejpam-6030	209	38	gaber	gaber	PROPN
ejpam-6030	209	39	,	,	PUNCT
ejpam-6030	209	40	t.	t.	PROPN
ejpam-6030	209	41	m.	m.	PROPN
ejpam-6030	209	42	younis	younis	PROPN
ejpam-6030	209	43	,	,	PUNCT
ejpam-6030	209	44	m.	m.	PROPN
ejpam-6030	209	45	f.	f.	PROPN
ejpam-6030	209	46	alharbi	alharbi	PROPN
ejpam-6030	209	47	/	/	SYM
ejpam-6030	209	48	eur	eur	PROPN
ejpam-6030	209	49	.	.	PUNCT
ejpam-6030	210	1	j.	j.	PROPN
ejpam-6030	210	2	pure	pure	PROPN
ejpam-6030	210	3	appl	appl	PROPN
ejpam-6030	210	4	.	.	PROPN
ejpam-6030	210	5	math	math	PROPN
ejpam-6030	210	6	,	,	PUNCT
ejpam-6030	210	7	18	18	NUM
ejpam-6030	210	8	(	(	PUNCT
ejpam-6030	210	9	3	3	NUM
ejpam-6030	210	10	)	)	PUNCT
ejpam-6030	210	11	(	(	PUNCT
ejpam-6030	210	12	2025	2025	NUM
ejpam-6030	210	13	)	)	PUNCT
ejpam-6030	210	14	,	,	PUNCT
ejpam-6030	210	15	6030	6030	NUM
ejpam-6030	210	16	11	11	NUM
ejpam-6030	210	17	of	of	ADP
ejpam-6030	210	18	12	12	NUM
ejpam-6030	210	19	manna	manna	ADJ
ejpam-6030	210	20	–	–	PUNCT
ejpam-6030	210	21	pempinelli	pempinelli	NOUN
ejpam-6030	210	22	equation	equation	NOUN
ejpam-6030	210	23	,	,	PUNCT
ejpam-6030	210	24	alexandria	alexandria	PROPN
ejpam-6030	210	25	engineering	engineering	PROPN
ejpam-6030	210	26	journal	journal	PROPN
ejpam-6030	210	27	80	80	NUM
ejpam-6030	210	28	(	(	PUNCT
ejpam-6030	210	29	2023	2023	NUM
ejpam-6030	210	30	)	)	PUNCT
ejpam-6030	210	31	475–486	475–486	NUM
ejpam-6030	210	32	,	,	PUNCT
ejpam-6030	210	33	https://doi.org/10.1016/j.aej.2023.08.067	https://doi.org/10.1016/j.aej.2023.08.067	NOUN
ejpam-6030	211	1	[	[	X
ejpam-6030	211	2	10	10	NUM
ejpam-6030	211	3	]	]	X
ejpam-6030	211	4	gaber	gaber	PROPN
ejpam-6030	211	5	,	,	PUNCT
ejpam-6030	211	6	a.a	a.a	PROPN
ejpam-6030	211	7	.	.	PROPN
ejpam-6030	211	8	,	,	PUNCT
ejpam-6030	211	9	bekir	bekir	PROPN
ejpam-6030	211	10	,	,	PUNCT
ejpam-6030	211	11	a.	a.	NOUN
ejpam-6030	211	12	integrability	integrability	PROPN
ejpam-6030	211	13	,	,	PUNCT
ejpam-6030	211	14	similarity	similarity	NOUN
ejpam-6030	211	15	reductions	reduction	NOUN
ejpam-6030	211	16	and	and	CCONJ
ejpam-6030	211	17	new	new	ADJ
ejpam-6030	211	18	classes	class	NOUN
ejpam-6030	211	19	of	of	ADP
ejpam-6030	211	20	exact	exact	ADJ
ejpam-6030	211	21	solutions	solution	NOUN
ejpam-6030	211	22	for	for	ADP
ejpam-6030	211	23	(	(	PUNCT
ejpam-6030	211	24	3	3	NUM
ejpam-6030	211	25	+	+	NOUN
ejpam-6030	211	26	1)-d	1)-d	NUM
ejpam-6030	211	27	potential	potential	ADJ
ejpam-6030	211	28	yu	yu	PROPN
ejpam-6030	211	29	–	–	PUNCT
ejpam-6030	211	30	toda	toda	PROPN
ejpam-6030	211	31	–	–	PUNCT
ejpam-6030	211	32	sasa	sasa	PROPN
ejpam-6030	211	33	–	–	PUNCT
ejpam-6030	211	34	fukuyama	fukuyama	PROPN
ejpam-6030	211	35	equation	equation	NOUN
ejpam-6030	211	36	.	.	PUNCT
ejpam-6030	212	1	qual	qual	PROPN
ejpam-6030	212	2	.	.	PUNCT
ejpam-6030	212	3	theory	theory	NOUN
ejpam-6030	212	4	dyn	dyn	PROPN
ejpam-6030	212	5	.	.	PUNCT
ejpam-6030	213	1	syst	syst	PROPN
ejpam-6030	213	2	.	.	PUNCT
ejpam-6030	214	1	23	23	NUM
ejpam-6030	214	2	,	,	PUNCT
ejpam-6030	214	3	235	235	NUM
ejpam-6030	214	4	(	(	PUNCT
ejpam-6030	214	5	2024	2024	NUM
ejpam-6030	214	6	)	)	PUNCT
ejpam-6030	214	7	.	.	PUNCT
ejpam-6030	215	1	https://doi.org/10.1007/s12346-024-01090-0	https://doi.org/10.1007/s12346-024-01090-0	NUM
ejpam-6030	216	1	[	[	X
ejpam-6030	216	2	11	11	NUM
ejpam-6030	216	3	]	]	X
ejpam-6030	216	4	nisar	nisar	PROPN
ejpam-6030	216	5	k.	k.	PROPN
ejpam-6030	217	1	s.et	s.et	PROPN
ejpam-6030	217	2	al	al	PROPN
ejpam-6030	217	3	,	,	PUNCT
ejpam-6030	217	4	novel	novel	ADJ
ejpam-6030	217	5	multiple	multiple	ADJ
ejpam-6030	217	6	soliton	soliton	NOUN
ejpam-6030	217	7	solutions	solution	NOUN
ejpam-6030	217	8	for	for	ADP
ejpam-6030	217	9	some	some	DET
ejpam-6030	217	10	nonlinear	nonlinear	ADJ
ejpam-6030	217	11	pdes	pde	NOUN
ejpam-6030	217	12	via	via	ADP
ejpam-6030	217	13	multiple	multiple	ADJ
ejpam-6030	217	14	exp	exp	NOUN
ejpam-6030	217	15	-	-	PUNCT
ejpam-6030	217	16	function	function	NOUN
ejpam-6030	217	17	method	method	NOUN
ejpam-6030	217	18	,	,	PUNCT
ejpam-6030	217	19	results	result	VERB
ejpam-6030	217	20	phys	phy	NOUN
ejpam-6030	217	21	.	.	PUNCT
ejpam-6030	217	22	,	,	PUNCT
ejpam-6030	217	23	21	21	NUM
ejpam-6030	217	24	(	(	PUNCT
ejpam-6030	217	25	2021	2021	NUM
ejpam-6030	217	26	)	)	PUNCT
ejpam-6030	217	27	103769	103769	NUM
ejpam-6030	217	28	,	,	PUNCT
ejpam-6030	217	29	https://doi.org/10.1016/j.rinp.2020.103769	https://doi.org/10.1016/j.rinp.2020.103769	PROPN
ejpam-6030	218	1	[	[	X
ejpam-6030	218	2	12	12	NUM
ejpam-6030	218	3	]	]	X
ejpam-6030	218	4	özkan	özkan	PROPN
ejpam-6030	218	5	y.	y.	PROPN
ejpam-6030	218	6	and	and	CCONJ
ejpam-6030	218	7	yasar	yasar	PROPN
ejpam-6030	218	8	e.	e.	PROPN
ejpam-6030	218	9	,	,	PUNCT
ejpam-6030	218	10	on	on	ADP
ejpam-6030	218	11	the	the	DET
ejpam-6030	218	12	exact	exact	ADJ
ejpam-6030	218	13	solutions	solution	NOUN
ejpam-6030	218	14	of	of	ADP
ejpam-6030	218	15	nonlinear	nonlinear	ADJ
ejpam-6030	218	16	evolution	evolution	NOUN
ejpam-6030	218	17	equations	equation	NOUN
ejpam-6030	218	18	by	by	ADP
ejpam-6030	218	19	the	the	DET
ejpam-6030	218	20	improved	improved	ADJ
ejpam-6030	218	21	tan(ϕ/2)-expansion	tan(ϕ/2)-expansion	NOUN
ejpam-6030	218	22	method	method	NOUN
ejpam-6030	218	23	,	,	PUNCT
ejpam-6030	218	24	pramana	pramana	PROPN
ejpam-6030	218	25	–	–	PUNCT
ejpam-6030	218	26	j.	j.	PROPN
ejpam-6030	218	27	phys	phys	PROPN
ejpam-6030	218	28	.	.	PUNCT
ejpam-6030	219	1	(	(	PUNCT
ejpam-6030	219	2	2020	2020	NUM
ejpam-6030	219	3	)	)	PUNCT
ejpam-6030	219	4	94:37	94:37	NUM
ejpam-6030	219	5	.	.	PUNCT
ejpam-6030	220	1	[	[	X
ejpam-6030	220	2	13	13	NUM
ejpam-6030	220	3	]	]	X
ejpam-6030	220	4	farooq	farooq	PROPN
ejpam-6030	220	5	,	,	PUNCT
ejpam-6030	220	6	a.	a.	PROPN
ejpam-6030	220	7	,	,	PUNCT
ejpam-6030	220	8	khan	khan	PROPN
ejpam-6030	220	9	,	,	PUNCT
ejpam-6030	220	10	m.i	m.i	PROPN
ejpam-6030	220	11	.	.	PROPN
ejpam-6030	220	12	&	&	CCONJ
ejpam-6030	220	13	ma	ma	PROPN
ejpam-6030	220	14	,	,	PUNCT
ejpam-6030	220	15	w.x	w.x	PROPN
ejpam-6030	220	16	.	.	PROPN
ejpam-6030	220	17	exact	exact	ADJ
ejpam-6030	220	18	solutions	solution	NOUN
ejpam-6030	220	19	for	for	ADP
ejpam-6030	220	20	the	the	DET
ejpam-6030	220	21	improved	improve	VERB
ejpam-6030	220	22	mkdv	mkdv	NOUN
ejpam-6030	220	23	equation	equation	NOUN
ejpam-6030	220	24	with	with	ADP
ejpam-6030	220	25	conformable	conformable	ADJ
ejpam-6030	220	26	derivative	derivative	NOUN
ejpam-6030	220	27	by	by	ADP
ejpam-6030	220	28	using	use	VERB
ejpam-6030	220	29	the	the	DET
ejpam-6030	220	30	jacobi	jacobi	PROPN
ejpam-6030	220	31	elliptic	elliptic	ADJ
ejpam-6030	220	32	function	function	NOUN
ejpam-6030	220	33	expansion	expansion	NOUN
ejpam-6030	220	34	method	method	NOUN
ejpam-6030	220	35	.	.	PUNCT
ejpam-6030	221	1	opt	opt	VERB
ejpam-6030	221	2	quant	quant	ADJ
ejpam-6030	221	3	electron	electron	NOUN
ejpam-6030	221	4	56	56	NUM
ejpam-6030	221	5	,	,	PUNCT
ejpam-6030	221	6	542	542	NUM
ejpam-6030	221	7	(	(	PUNCT
ejpam-6030	221	8	2024	2024	NUM
ejpam-6030	221	9	)	)	PUNCT
ejpam-6030	221	10	.	.	PUNCT
ejpam-6030	222	1	https://doi.org/10.1007/s11082-023-06258-7	https://doi.org/10.1007/s11082-023-06258-7	NUM
ejpam-6030	223	1	[	[	X
ejpam-6030	223	2	14	14	NUM
ejpam-6030	223	3	]	]	PUNCT
ejpam-6030	223	4	niwas	niwas	PROPN
ejpam-6030	223	5	m.	m.	PROPN
ejpam-6030	223	6	&	&	CCONJ
ejpam-6030	223	7	kumar	kumar	PROPN
ejpam-6030	223	8	s.	s.	PROPN
ejpam-6030	223	9	,	,	PUNCT
ejpam-6030	223	10	multi	multi	NOUN
ejpam-6030	223	11	-	-	NOUN
ejpam-6030	223	12	peakons	peakon	NOUN
ejpam-6030	223	13	,	,	PUNCT
ejpam-6030	223	14	multi	multi	NOUN
ejpam-6030	223	15	-	-	NOUN
ejpam-6030	223	16	peakons	peakon	NOUN
ejpam-6030	223	17	,	,	PUNCT
ejpam-6030	223	18	lumps	lump	NOUN
ejpam-6030	223	19	,	,	PUNCT
ejpam-6030	223	20	and	and	CCONJ
ejpam-6030	223	21	other	other	ADJ
ejpam-6030	223	22	solitons	soliton	NOUN
ejpam-6030	223	23	solutions	solution	NOUN
ejpam-6030	223	24	for	for	ADP
ejpam-6030	223	25	the	the	DET
ejpam-6030	223	26	(	(	PUNCT
ejpam-6030	223	27	2	2	NUM
ejpam-6030	223	28	+	+	NOUN
ejpam-6030	223	29	1)-dimensional	1)-dimensional	ADJ
ejpam-6030	223	30	generalized	generalized	ADJ
ejpam-6030	223	31	benjamin	benjamin	PROPN
ejpam-6030	223	32	–	–	PUNCT
ejpam-6030	223	33	ono	ono	PROPN
ejpam-6030	223	34	equation	equation	NOUN
ejpam-6030	223	35	:	:	PUNCT
ejpam-6030	223	36	an	an	DET
ejpam-6030	223	37	inverse	inverse	NOUN
ejpam-6030	223	38	(	(	PUNCT
ejpam-6030	223	39	g′\g)-expansion	g′\g)-expansion	NOUN
ejpam-6030	223	40	method	method	NOUN
ejpam-6030	223	41	and	and	CCONJ
ejpam-6030	223	42	real	real	ADJ
ejpam-6030	223	43	-	-	PUNCT
ejpam-6030	223	44	world	world	NOUN
ejpam-6030	223	45	applications	application	NOUN
ejpam-6030	223	46	,	,	PUNCT
ejpam-6030	223	47	nonlinear	nonlinear	ADJ
ejpam-6030	223	48	dyn	dyn	NOUN
ejpam-6030	223	49	,	,	PUNCT
ejpam-6030	223	50	(	(	PUNCT
ejpam-6030	223	51	2023	2023	NUM
ejpam-6030	223	52	)	)	PUNCT
ejpam-6030	223	53	1	1	NUM
ejpam-6030	223	54	-	-	SYM
ejpam-6030	223	55	14	14	NUM
ejpam-6030	223	56	,	,	PUNCT
ejpam-6030	223	57	doi.org/10.1007/s11071-023-09023-3	doi.org/10.1007/s11071-023-09023-3	NOUN
ejpam-6030	224	1	[	[	X
ejpam-6030	224	2	15	15	NUM
ejpam-6030	224	3	]	]	X
ejpam-6030	224	4	akram	akram	PROPN
ejpam-6030	224	5	,	,	PUNCT
ejpam-6030	224	6	g.	g.	PROPN
ejpam-6030	224	7	,	,	PUNCT
ejpam-6030	224	8	arshed	arshe	VERB
ejpam-6030	224	9	,	,	PUNCT
ejpam-6030	224	10	s.	s.	PROPN
ejpam-6030	224	11	,	,	PUNCT
ejpam-6030	224	12	sadaf	sadaf	NOUN
ejpam-6030	224	13	,	,	PUNCT
ejpam-6030	224	14	m.	m.	NOUN
ejpam-6030	225	1	et	et	PROPN
ejpam-6030	225	2	al	al	PROPN
ejpam-6030	225	3	.	.	PROPN
ejpam-6030	225	4	extraction	extraction	NOUN
ejpam-6030	225	5	of	of	ADP
ejpam-6030	225	6	new	new	ADJ
ejpam-6030	225	7	soliton	soliton	NOUN
ejpam-6030	225	8	solutions	solution	NOUN
ejpam-6030	225	9	of	of	ADP
ejpam-6030	225	10	(	(	PUNCT
ejpam-6030	225	11	3	3	NUM
ejpam-6030	225	12	+	+	NOUN
ejpam-6030	225	13	1)dimensional	1)dimensional	NUM
ejpam-6030	225	14	nonlinear	nonlinear	ADJ
ejpam-6030	225	15	extended	extended	ADJ
ejpam-6030	225	16	quantum	quantum	ADJ
ejpam-6030	225	17	zakharov	zakharov	ADJ
ejpam-6030	225	18	–	–	PUNCT
ejpam-6030	225	19	kuznetsov	kuznetsov	ADJ
ejpam-6030	225	20	equation	equation	NOUN
ejpam-6030	225	21	via	via	ADP
ejpam-6030	225	22	generalized	generalized	ADJ
ejpam-6030	225	23	exponential	exponential	ADJ
ejpam-6030	225	24	rational	rational	ADJ
ejpam-6030	225	25	function	function	NOUN
ejpam-6030	225	26	method	method	NOUN
ejpam-6030	225	27	and	and	CCONJ
ejpam-6030	225	28	(	(	PUNCT
ejpam-6030	225	29	g	g	NOUN
ejpam-6030	225	30	′	′	NUM
ejpam-6030	225	31	g	g	NOUN
ejpam-6030	225	32	1	1	NUM
ejpam-6030	225	33	g	g	NOUN
ejpam-6030	225	34	)	)	PUNCT
ejpam-6030	225	35	expansion	expansion	NOUN
ejpam-6030	225	36	method	method	NOUN
ejpam-6030	225	37	.	.	PUNCT
ejpam-6030	226	1	opt	opt	VERB
ejpam-6030	226	2	quant	quant	ADJ
ejpam-6030	226	3	electron	electron	NOUN
ejpam-6030	226	4	56	56	NUM
ejpam-6030	226	5	,	,	PUNCT
ejpam-6030	226	6	829	829	NUM
ejpam-6030	226	7	(	(	PUNCT
ejpam-6030	226	8	2024	2024	NUM
ejpam-6030	226	9	)	)	PUNCT
ejpam-6030	226	10	.	.	PUNCT
ejpam-6030	227	1	https://doi.org/10.1007/s11082-024-06662-7	https://doi.org/10.1007/s11082-024-06662-7	PRON
ejpam-6030	228	1	[	[	X
ejpam-6030	228	2	16	16	NUM
ejpam-6030	228	3	]	]	PUNCT
ejpam-6030	228	4	rabie	rabie	NOUN
ejpam-6030	228	5	,	,	PUNCT
ejpam-6030	228	6	w.b	w.b	PROPN
ejpam-6030	228	7	.	.	PROPN
ejpam-6030	228	8	,	,	PUNCT
ejpam-6030	228	9	khalil	khalil	PROPN
ejpam-6030	228	10	,	,	PUNCT
ejpam-6030	228	11	t.a	t.a	PROPN
ejpam-6030	228	12	.	.	PROPN
ejpam-6030	228	13	,	,	PUNCT
ejpam-6030	228	14	badra	badra	PROPN
ejpam-6030	228	15	,	,	PUNCT
ejpam-6030	228	16	n.	n.	PROPN
ejpam-6030	228	17	et	et	PROPN
ejpam-6030	228	18	al	al	PROPN
ejpam-6030	228	19	.	.	PUNCT
ejpam-6030	228	20	soliton	soliton	NOUN
ejpam-6030	228	21	solutions	solution	NOUN
ejpam-6030	228	22	and	and	CCONJ
ejpam-6030	228	23	other	other	ADJ
ejpam-6030	228	24	solutions	solution	NOUN
ejpam-6030	228	25	to	to	ADP
ejpam-6030	228	26	the	the	DET
ejpam-6030	228	27	(	(	PUNCT
ejpam-6030	228	28	4	4	NUM
ejpam-6030	228	29	+	+	NOUN
ejpam-6030	228	30	1)-dimensional	1)-dimensional	ADJ
ejpam-6030	228	31	davey	davey	NOUN
ejpam-6030	228	32	–	–	PUNCT
ejpam-6030	228	33	stewartson	stewartson	NOUN
ejpam-6030	228	34	–	–	PUNCT
ejpam-6030	228	35	kadomtsev	kadomtsev	ADJ
ejpam-6030	228	36	–	–	PUNCT
ejpam-6030	228	37	petviashvili	petviashvili	NOUN
ejpam-6030	228	38	equation	equation	NOUN
ejpam-6030	228	39	using	use	VERB
ejpam-6030	228	40	modified	modify	VERB
ejpam-6030	228	41	extended	extend	VERB
ejpam-6030	228	42	mapping	mapping	NOUN
ejpam-6030	228	43	method	method	NOUN
ejpam-6030	228	44	.	.	PUNCT
ejpam-6030	229	1	qual	qual	X
ejpam-6030	229	2	.	.	PROPN
ejpam-6030	229	3	theory	theory	NOUN
ejpam-6030	229	4	dyn	dyn	PROPN
ejpam-6030	229	5	.	.	PUNCT
ejpam-6030	230	1	syst	syst	PROPN
ejpam-6030	230	2	.	.	PUNCT
ejpam-6030	231	1	23	23	NUM
ejpam-6030	231	2	,	,	PUNCT
ejpam-6030	231	3	87	87	NUM
ejpam-6030	231	4	(	(	PUNCT
ejpam-6030	231	5	2024	2024	NUM
ejpam-6030	231	6	)	)	PUNCT
ejpam-6030	231	7	.	.	PUNCT
ejpam-6030	232	1	https://doi.org/10.1007/s12346-023-00944-3	https://doi.org/10.1007/s12346-023-00944-3	NUM
ejpam-6030	233	1	[	[	X
ejpam-6030	233	2	17	17	NUM
ejpam-6030	233	3	]	]	X
ejpam-6030	233	4	gaber	gaber	PROPN
ejpam-6030	233	5	a.	a.	PROPN
ejpam-6030	233	6	a.	a.	PROPN
ejpam-6030	233	7	et	et	PROPN
ejpam-6030	233	8	.	.	PUNCT
ejpam-6030	234	1	al	al	PROPN
ejpam-6030	234	2	,	,	PUNCT
ejpam-6030	234	3	new	new	ADJ
ejpam-6030	234	4	approch	approch	NOUN
ejpam-6030	234	5	of	of	ADP
ejpam-6030	234	6	mhd	mhd	PROPN
ejpam-6030	234	7	boundary	boundary	ADJ
ejpam-6030	234	8	layer	layer	NOUN
ejpam-6030	234	9	flow	flow	NOUN
ejpam-6030	234	10	towards	towards	ADP
ejpam-6030	234	11	a	a	DET
ejpam-6030	234	12	porous	porous	ADJ
ejpam-6030	234	13	stretching	stretch	VERB
ejpam-6030	234	14	sheet	sheet	NOUN
ejpam-6030	234	15	via	via	ADP
ejpam-6030	234	16	symmetry	symmetry	NOUN
ejpam-6030	234	17	analysis	analysis	NOUN
ejpam-6030	234	18	and	and	CCONJ
ejpam-6030	234	19	the	the	DET
ejpam-6030	234	20	generalized	generalized	ADJ
ejpam-6030	234	21	exp	exp	NOUN
ejpam-6030	234	22	-	-	PUNCT
ejpam-6030	234	23	function	function	NOUN
ejpam-6030	234	24	method	method	NOUN
ejpam-6030	234	25	,	,	PUNCT
ejpam-6030	234	26	int	int	NOUN
ejpam-6030	234	27	.	.	PUNCT
ejpam-6030	235	1	j.	j.	PROPN
ejpam-6030	235	2	ana	ana	PROPN
ejpam-6030	235	3	.	.	PUNCT
ejpam-6030	236	1	app	app	PROPN
ejpam-6030	236	2	.	.	PROPN
ejpam-6030	236	3	5	5	NUM
ejpam-6030	236	4	(	(	PUNCT
ejpam-6030	236	5	2020	2020	NUM
ejpam-6030	236	6	)	)	PUNCT
ejpam-6030	236	7	,	,	PUNCT
ejpam-6030	236	8	738	738	NUM
ejpam-6030	236	9	-	-	SYM
ejpam-6030	236	10	747	747	NUM
ejpam-6030	236	11	.	.	PUNCT
ejpam-6030	237	1	[	[	X
ejpam-6030	237	2	18	18	NUM
ejpam-6030	237	3	]	]	X
ejpam-6030	237	4	gaber	gaber	PROPN
ejpam-6030	237	5	a.	a.	PROPN
ejpam-6030	237	6	a.	a.	PROPN
ejpam-6030	237	7	,	,	PUNCT
ejpam-6030	237	8	integrability	integrability	NOUN
ejpam-6030	237	9	and	and	CCONJ
ejpam-6030	237	10	wave	wave	NOUN
ejpam-6030	237	11	solutions	solution	NOUN
ejpam-6030	237	12	for	for	ADP
ejpam-6030	237	13	fifth	fifth	ADJ
ejpam-6030	237	14	-	-	PUNCT
ejpam-6030	237	15	order	order	NOUN
ejpam-6030	237	16	kdv	kdv	NOUN
ejpam-6030	237	17	type	type	NOUN
ejpam-6030	237	18	equation	equation	NOUN
ejpam-6030	237	19	,	,	PUNCT
ejpam-6030	237	20	inter	inter	PROPN
ejpam-6030	237	21	.	.	PUNCT
ejpam-6030	237	22	j.	j.	PROPN
ejpam-6030	237	23	advan	advan	PROPN
ejpam-6030	237	24	.	.	PUNCT
ejpam-6030	238	1	app	app	PROPN
ejpam-6030	238	2	.	.	PUNCT
ejpam-6030	239	1	sci	sci	PROPN
ejpam-6030	239	2	.	.	PROPN
ejpam-6030	239	3	,	,	PUNCT
ejpam-6030	239	4	7(4	7(4	NUM
ejpam-6030	239	5	)	)	PUNCT
ejpam-6030	239	6	(	(	PUNCT
ejpam-6030	239	7	2020)103	2020)103	NUM
ejpam-6030	239	8	-	-	SYM
ejpam-6030	239	9	106	106	NUM
ejpam-6030	239	10	.	.	PUNCT
ejpam-6030	240	1	[	[	X
ejpam-6030	240	2	19	19	NUM
ejpam-6030	240	3	]	]	PUNCT
ejpam-6030	240	4	gaber	gaber	PROPN
ejpam-6030	240	5	a.	a.	PROPN
ejpam-6030	240	6	a.	a.	PROPN
ejpam-6030	240	7	and	and	CCONJ
ejpam-6030	240	8	h.	h.	PROPN
ejpam-6030	240	9	ahmad	ahmad	PROPN
ejpam-6030	240	10	,	,	PUNCT
ejpam-6030	240	11	solitary	solitary	ADJ
ejpam-6030	240	12	wave	wave	NOUN
ejpam-6030	240	13	solutions	solution	NOUN
ejpam-6030	240	14	for	for	ADP
ejpam-6030	240	15	space	space	NOUN
ejpam-6030	240	16	-	-	PUNCT
ejpam-6030	240	17	time	time	NOUN
ejpam-6030	240	18	fractional	fractional	NOUN
ejpam-6030	240	19	coupled	couple	VERB
ejpam-6030	240	20	integrable	integrable	ADJ
ejpam-6030	240	21	dispersionless	dispersionless	NOUN
ejpam-6030	240	22	system	system	NOUN
ejpam-6030	240	23	via	via	ADP
ejpam-6030	240	24	generalized	generalize	VERB
ejpam-6030	240	25	kudryashov	kudryashov	PROPN
ejpam-6030	240	26	method	method	NOUN
ejpam-6030	240	27	,	,	PUNCT
ejpam-6030	240	28	facta	facta	PROPN
ejpam-6030	240	29	universitatis	universitatis	PROPN
ejpam-6030	240	30	,	,	PUNCT
ejpam-6030	240	31	ser	ser	NOUN
ejpam-6030	240	32	.	.	PROPN
ejpam-6030	240	33	math	math	PROPN
ejpam-6030	240	34	.	.	PUNCT
ejpam-6030	241	1	inform	inform	NOUN
ejpam-6030	241	2	.	.	PUNCT
ejpam-6030	242	1	35	35	NUM
ejpam-6030	242	2	(	(	PUNCT
ejpam-6030	242	3	2020	2020	NUM
ejpam-6030	242	4	)	)	PUNCT
ejpam-6030	242	5	.	.	PUNCT
ejpam-6030	243	1	[	[	X
ejpam-6030	243	2	20	20	NUM
ejpam-6030	243	3	]	]	PUNCT
ejpam-6030	243	4	nuruddeen	nuruddeen	PROPN
ejpam-6030	243	5	r.	r.	PROPN
ejpam-6030	243	6	i.	i.	PROPN
ejpam-6030	243	7	,	,	PUNCT
ejpam-6030	243	8	aboodh	aboodh	PROPN
ejpam-6030	243	9	k.	k.	PROPN
ejpam-6030	243	10	,	,	PUNCT
ejpam-6030	243	11	and	and	CCONJ
ejpam-6030	243	12	khalid	khalid	PROPN
ejpam-6030	243	13	k.	k.	PROPN
ejpam-6030	243	14	ali	ali	PROPN
ejpam-6030	243	15	,	,	PUNCT
ejpam-6030	243	16	analytical	analytical	ADJ
ejpam-6030	243	17	investigation	investigation	NOUN
ejpam-6030	243	18	of	of	ADP
ejpam-6030	243	19	soliton	soliton	NOUN
ejpam-6030	243	20	solutions	solution	NOUN
ejpam-6030	243	21	to	to	ADP
ejpam-6030	243	22	three	three	NUM
ejpam-6030	243	23	quantum	quantum	ADJ
ejpam-6030	243	24	zakharov	zakharov	ADJ
ejpam-6030	243	25	-	-	PUNCT
ejpam-6030	243	26	kuznetsov	kuznetsov	NOUN
ejpam-6030	243	27	equations	equation	NOUN
ejpam-6030	243	28	,	,	PUNCT
ejpam-6030	243	29	commun	commun	PROPN
ejpam-6030	243	30	.	.	PUNCT
ejpam-6030	244	1	theor	theor	PROPN
ejpam-6030	244	2	.	.	PUNCT
ejpam-6030	245	1	phys	phy	NOUN
ejpam-6030	245	2	.	.	PUNCT
ejpam-6030	246	1	70	70	NUM
ejpam-6030	246	2	(	(	PUNCT
ejpam-6030	246	3	2018	2018	NUM
ejpam-6030	246	4	)	)	PUNCT
ejpam-6030	247	1	405–412	405–412	NUM
ejpam-6030	247	2	,	,	PUNCT
ejpam-6030	247	3	10.1088/0253	10.1088/0253	NUM
ejpam-6030	247	4	-	-	SYM
ejpam-6030	247	5	6102/70/4/405	6102/70/4/405	NOUN
ejpam-6030	247	6	[	[	X
ejpam-6030	247	7	21	21	NUM
ejpam-6030	247	8	]	]	X
ejpam-6030	247	9	vinita	vinita	PROPN
ejpam-6030	247	10	and	and	CCONJ
ejpam-6030	247	11	s.	s.	PROPN
ejpam-6030	247	12	saha	saha	PROPN
ejpam-6030	247	13	ray	ray	PROPN
ejpam-6030	247	14	,	,	PUNCT
ejpam-6030	247	15	symmetry	symmetry	VERB
ejpam-6030	247	16	analysis	analysis	NOUN
ejpam-6030	247	17	with	with	ADP
ejpam-6030	247	18	similarity	similarity	NOUN
ejpam-6030	247	19	reduction	reduction	NOUN
ejpam-6030	247	20	,	,	PUNCT
ejpam-6030	247	21	new	new	ADJ
ejpam-6030	247	22	exact	exact	ADJ
ejpam-6030	247	23	solitary	solitary	ADJ
ejpam-6030	247	24	wave	wave	NOUN
ejpam-6030	247	25	solutions	solution	NOUN
ejpam-6030	247	26	and	and	CCONJ
ejpam-6030	247	27	conservation	conservation	NOUN
ejpam-6030	247	28	laws	law	NOUN
ejpam-6030	247	29	of	of	ADP
ejpam-6030	247	30	(	(	PUNCT
ejpam-6030	247	31	3	3	NUM
ejpam-6030	247	32	+	+	SYM
ejpam-6030	247	33	1)-dimensional	1)-dimensional	NUM
ejpam-6030	247	34	extended	extended	ADJ
ejpam-6030	247	35	quantum	quantum	ADJ
ejpam-6030	247	36	zakharov	zakharov	ADJ
ejpam-6030	247	37	–	–	PUNCT
ejpam-6030	247	38	kuznetsov	kuznetsov	ADJ
ejpam-6030	247	39	equation	equation	NOUN
ejpam-6030	247	40	in	in	ADP
ejpam-6030	247	41	quantum	quantum	ADJ
ejpam-6030	247	42	physics	physics	NOUN
ejpam-6030	247	43	,	,	PUNCT
ejpam-6030	247	44	modern	modern	ADJ
ejpam-6030	247	45	physics	physics	NOUN
ejpam-6030	247	46	letters	letters	PROPN
ejpam-6030	247	47	b	b	PROPN
ejpam-6030	247	48	,	,	PUNCT
ejpam-6030	247	49	35((9	35((9	NUM
ejpam-6030	247	50	)	)	PUNCT
ejpam-6030	247	51	,	,	PUNCT
ejpam-6030	247	52	(	(	PUNCT
ejpam-6030	247	53	2021	2021	NUM
ejpam-6030	247	54	)	)	PUNCT
ejpam-6030	247	55	2150163	2150163	NUM
ejpam-6030	247	56	,	,	PUNCT
ejpam-6030	248	1	https://doi.org/10.1142/s0217984921501633	https://doi.org/10.1142/s0217984921501633	NUM
ejpam-6030	248	2	[	[	NOUN
ejpam-6030	248	3	22	22	NUM
ejpam-6030	248	4	]	]	PUNCT
ejpam-6030	248	5	mohammed	mohammed	PROPN
ejpam-6030	248	6	w.	w.	PROPN
ejpam-6030	248	7	w.	w.	PROPN
ejpam-6030	248	8	,	,	PUNCT
ejpam-6030	248	9	sidaoui	sidaoui	PROPN
ejpam-6030	248	10	r.	r.	PROPN
ejpam-6030	248	11	,	,	PUNCT
ejpam-6030	248	12	alshammari	alshammari	PROPN
ejpam-6030	248	13	h.	h.	PROPN
ejpam-6030	248	14	w	w	PROPN
ejpam-6030	248	15	,	,	PUNCT
ejpam-6030	248	16	algolam	algolam	PROPN
ejpam-6030	248	17	m.	m.	NOUN
ejpam-6030	248	18	s.	s.	PROPN
ejpam-6030	248	19	,	,	PUNCT
ejpam-6030	248	20	random	random	ADJ
ejpam-6030	248	21	wave	wave	NOUN
ejpam-6030	248	22	equation	equation	NOUN
ejpam-6030	248	23	for	for	ADP
ejpam-6030	248	24	the	the	DET
ejpam-6030	248	25	stochastic	stochastic	ADJ
ejpam-6030	248	26	quantum	quantum	ADJ
ejpam-6030	248	27	zakharov	zakharov	ADJ
ejpam-6030	248	28	-	-	PUNCT
ejpam-6030	248	29	kuznetsov	kuznetsov	NOUN
ejpam-6030	248	30	equation	equation	NOUN
ejpam-6030	248	31	and	and	CCONJ
ejpam-6030	248	32	their	their	PRON
ejpam-6030	248	33	exact	exact	ADJ
ejpam-6030	248	34	solutions	solution	NOUN
ejpam-6030	248	35	,	,	PUNCT
ejpam-6030	248	36	ejpam	ejpam	NOUN
ejpam-6030	248	37	,	,	PUNCT
ejpam-6030	248	38	european	european	PROPN
ejpam-6030	248	39	journal	journal	PROPN
ejpam-6030	248	40	of	of	ADP
ejpam-6030	248	41	mathematical	mathematical	ADJ
ejpam-6030	248	42	sciences	science	NOUN
ejpam-6030	248	43	,	,	PUNCT
ejpam-6030	248	44	18(1	18(1	NUM
ejpam-6030	248	45	)	)	PUNCT
ejpam-6030	248	46	(	(	PUNCT
ejpam-6030	248	47	2025	2025	NUM
ejpam-6030	248	48	)	)	PUNCT
ejpam-6030	248	49	,	,	PUNCT
ejpam-6030	248	50	a.	a.	PROPN
ejpam-6030	248	51	a.	a.	PROPN
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ejpam-6030	248	53	,	,	PUNCT
ejpam-6030	248	54	t.	t.	PROPN
ejpam-6030	248	55	m.	m.	PROPN
ejpam-6030	248	56	younis	younis	PROPN
ejpam-6030	248	57	,	,	PUNCT
ejpam-6030	248	58	m.	m.	PROPN
ejpam-6030	248	59	f.	f.	PROPN
ejpam-6030	248	60	alharbi	alharbi	PROPN
ejpam-6030	248	61	/	/	SYM
ejpam-6030	248	62	eur	eur	PROPN
ejpam-6030	248	63	.	.	PUNCT
ejpam-6030	249	1	j.	j.	PROPN
ejpam-6030	249	2	pure	pure	PROPN
ejpam-6030	249	3	appl	appl	PROPN
ejpam-6030	249	4	.	.	PROPN
ejpam-6030	249	5	math	math	PROPN
ejpam-6030	249	6	,	,	PUNCT
ejpam-6030	249	7	18	18	NUM
ejpam-6030	249	8	(	(	PUNCT
ejpam-6030	249	9	3	3	NUM
ejpam-6030	249	10	)	)	PUNCT
ejpam-6030	249	11	(	(	PUNCT
ejpam-6030	249	12	2025	2025	NUM
ejpam-6030	249	13	)	)	PUNCT
ejpam-6030	249	14	,	,	PUNCT
ejpam-6030	249	15	6030	6030	NUM
ejpam-6030	249	16	12	12	NUM
ejpam-6030	249	17	of	of	ADP
ejpam-6030	249	18	12	12	NUM
ejpam-6030	249	19	https://doi.org/10.29020/nybg.ejpam.v18i1.5665	https://doi.org/10.29020/nybg.ejpam.v18i1.5665	PROPN
ejpam-6030	249	20	[	[	X
ejpam-6030	249	21	23	23	NUM
ejpam-6030	249	22	]	]	X
ejpam-6030	249	23	gaber	gaber	PROPN
ejpam-6030	249	24	a.	a.	PROPN
ejpam-6030	249	25	a.	a.	PROPN
ejpam-6030	249	26	,	,	PUNCT
ejpam-6030	249	27	solitary	solitary	ADJ
ejpam-6030	249	28	wave	wave	NOUN
ejpam-6030	249	29	solutions	solution	NOUN
ejpam-6030	249	30	for	for	ADP
ejpam-6030	249	31	time	time	NOUN
ejpam-6030	249	32	-	-	PUNCT
ejpam-6030	249	33	fractional	fractional	ADJ
ejpam-6030	249	34	dispersive	dispersive	ADJ
ejpam-6030	249	35	long	long	ADJ
ejpam-6030	249	36	wave	wave	NOUN
ejpam-6030	249	37	equations	equation	NOUN
ejpam-6030	249	38	via	via	ADP
ejpam-6030	249	39	generalized	generalize	VERB
ejpam-6030	249	40	kudryashov	kudryashov	PROPN
ejpam-6030	249	41	-	-	PUNCT
ejpam-6030	249	42	auxaliry	auxaliry	NOUN
ejpam-6030	249	43	method	method	NOUN
ejpam-6030	249	44	,	,	PUNCT
ejpam-6030	249	45	comm	comm	NOUN
ejpam-6030	249	46	.	.	PUNCT
ejpam-6030	250	1	math	math	NOUN
ejpam-6030	250	2	.	.	PUNCT
ejpam-6030	251	1	app	app	PROPN
ejpam-6030	251	2	.	.	PUNCT
ejpam-6030	252	1	12(3	12(3	NUM
ejpam-6030	252	2	)	)	PUNCT
ejpam-6030	252	3	(	(	PUNCT
ejpam-6030	252	4	2021	2021	NUM
ejpam-6030	252	5	)	)	PUNCT
ejpam-6030	253	1	519–529	519–529	NUM
ejpam-6030	253	2	,	,	PUNCT
ejpam-6030	253	3	10.26713	10.26713	NUM
ejpam-6030	253	4	/	/	SYM
ejpam-6030	253	5	cma.v12i3.1504	cma.v12i3.1504	PROPN