id	sid	tid	token	lemma	pos
ejpam-6012	1	1	european	european	PROPN
ejpam-6012	1	2	journal	journal	PROPN
ejpam-6012	1	3	of	of	ADP
ejpam-6012	1	4	pure	pure	ADJ
ejpam-6012	1	5	and	and	CCONJ
ejpam-6012	1	6	applied	applied	ADJ
ejpam-6012	1	7	mathematics	mathematic	NOUN
ejpam-6012	1	8	2025	2025	NUM
ejpam-6012	1	9	,	,	PUNCT
ejpam-6012	1	10	vol	vol	NOUN
ejpam-6012	1	11	.	.	PROPN
ejpam-6012	1	12	18	18	NUM
ejpam-6012	1	13	,	,	PUNCT
ejpam-6012	1	14	issue	issue	NOUN
ejpam-6012	1	15	3	3	NUM
ejpam-6012	1	16	,	,	PUNCT
ejpam-6012	1	17	article	article	NOUN
ejpam-6012	1	18	number	number	NOUN
ejpam-6012	1	19	6012	6012	NUM
ejpam-6012	1	20	issn	issn	PROPN
ejpam-6012	1	21	1307	1307	NUM
ejpam-6012	1	22	-	-	SYM
ejpam-6012	1	23	5543	5543	NUM
ejpam-6012	1	24	–	–	PUNCT
ejpam-6012	1	25	ejpam.com	ejpam.com	X
ejpam-6012	1	26	published	publish	VERB
ejpam-6012	1	27	by	by	ADP
ejpam-6012	1	28	new	new	PROPN
ejpam-6012	1	29	york	york	PROPN
ejpam-6012	1	30	business	business	PROPN
ejpam-6012	1	31	global	global	ADJ
ejpam-6012	1	32	unraveling	unraveling	ADJ
ejpam-6012	1	33	symmetry	symmetry	NOUN
ejpam-6012	1	34	properties	property	NOUN
ejpam-6012	1	35	in	in	ADP
ejpam-6012	1	36	a	a	DET
ejpam-6012	1	37	three	three	NUM
ejpam-6012	1	38	-	-	PUNCT
ejpam-6012	1	39	dimensional	dimensional	ADJ
ejpam-6012	1	40	nonlinear	nonlinear	ADJ
ejpam-6012	1	41	evolution	evolution	NOUN
ejpam-6012	1	42	model	model	NOUN
ejpam-6012	1	43	via	via	ADP
ejpam-6012	1	44	the	the	DET
ejpam-6012	1	45	lie	lie	NOUN
ejpam-6012	1	46	group	group	NOUN
ejpam-6012	1	47	method	method	PROPN
ejpam-6012	1	48	akhtar	akhtar	PROPN
ejpam-6012	1	49	hussain1,∗	hussain1,∗	PROPN
ejpam-6012	1	50	,	,	PUNCT
ejpam-6012	1	51	m.	m.	NOUN
ejpam-6012	1	52	usman2	usman2	PROPN
ejpam-6012	1	53	,	,	PUNCT
ejpam-6012	1	54	ahmed	ahmed	PROPN
ejpam-6012	1	55	m.	m.	PROPN
ejpam-6012	1	56	zidan3	zidan3	PROPN
ejpam-6012	1	57	,	,	PUNCT
ejpam-6012	1	58	jorge	jorge	NOUN
ejpam-6012	1	59	herrera4	herrera4	PROPN
ejpam-6012	1	60	1	1	NUM
ejpam-6012	1	61	department	department	NOUN
ejpam-6012	1	62	of	of	ADP
ejpam-6012	1	63	mathematics	mathematic	NOUN
ejpam-6012	1	64	and	and	CCONJ
ejpam-6012	1	65	statistics	statistic	NOUN
ejpam-6012	1	66	,	,	PUNCT
ejpam-6012	1	67	the	the	DET
ejpam-6012	1	68	university	university	NOUN
ejpam-6012	1	69	of	of	ADP
ejpam-6012	1	70	lahore	lahore	PROPN
ejpam-6012	1	71	,	,	PUNCT
ejpam-6012	1	72	lahore	lahore	NOUN
ejpam-6012	1	73	,	,	PUNCT
ejpam-6012	1	74	pakistan	pakistan	PROPN
ejpam-6012	1	75	2	2	NUM
ejpam-6012	1	76	college	college	NOUN
ejpam-6012	1	77	of	of	ADP
ejpam-6012	1	78	electrical	electrical	ADJ
ejpam-6012	1	79	and	and	CCONJ
ejpam-6012	1	80	mechanical	mechanical	ADJ
ejpam-6012	1	81	engineering	engineering	NOUN
ejpam-6012	1	82	(	(	PUNCT
ejpam-6012	1	83	ceme	ceme	NOUN
ejpam-6012	1	84	)	)	PUNCT
ejpam-6012	1	85	,	,	PUNCT
ejpam-6012	1	86	national	national	PROPN
ejpam-6012	1	87	university	university	PROPN
ejpam-6012	1	88	of	of	ADP
ejpam-6012	1	89	sciences	science	NOUN
ejpam-6012	1	90	and	and	CCONJ
ejpam-6012	1	91	technology	technology	NOUN
ejpam-6012	1	92	(	(	PUNCT
ejpam-6012	1	93	nust	nust	PROPN
ejpam-6012	1	94	)	)	PUNCT
ejpam-6012	1	95	,	,	PUNCT
ejpam-6012	1	96	h-12	h-12	NOUN
ejpam-6012	1	97	islamabad	islamabad	NOUN
ejpam-6012	1	98	44000	44000	NUM
ejpam-6012	1	99	,	,	PUNCT
ejpam-6012	1	100	pakistan	pakistan	PROPN
ejpam-6012	1	101	3	3	NUM
ejpam-6012	1	102	department	department	NOUN
ejpam-6012	1	103	of	of	ADP
ejpam-6012	1	104	mathematics	mathematics	PROPN
ejpam-6012	1	105	,	,	PUNCT
ejpam-6012	1	106	college	college	NOUN
ejpam-6012	1	107	of	of	ADP
ejpam-6012	1	108	science	science	NOUN
ejpam-6012	1	109	,	,	PUNCT
ejpam-6012	1	110	king	king	PROPN
ejpam-6012	1	111	khalid	khalid	PROPN
ejpam-6012	1	112	university	university	PROPN
ejpam-6012	1	113	,	,	PUNCT
ejpam-6012	1	114	abha	abha	NOUN
ejpam-6012	1	115	61413	61413	NUM
ejpam-6012	1	116	,	,	PUNCT
ejpam-6012	1	117	saudi	saudi	PROPN
ejpam-6012	1	118	arabia	arabia	PROPN
ejpam-6012	1	119	4	4	NUM
ejpam-6012	1	120	facultad	facultad	PROPN
ejpam-6012	1	121	de	de	PROPN
ejpam-6012	1	122	ciencias	ciencias	PROPN
ejpam-6012	1	123	naturales	naturales	PROPN
ejpam-6012	1	124	e	e	PROPN
ejpam-6012	1	125	ingenieria	ingenieria	PROPN
ejpam-6012	1	126	,	,	PUNCT
ejpam-6012	1	127	universidad	universidad	PROPN
ejpam-6012	1	128	de	de	PROPN
ejpam-6012	1	129	bogota	bogota	PROPN
ejpam-6012	1	130	jorge	jorge	PROPN
ejpam-6012	1	131	tadeo	tadeo	PROPN
ejpam-6012	1	132	lozano	lozano	PROPN
ejpam-6012	1	133	,	,	PUNCT
ejpam-6012	1	134	bogota	bogota	PROPN
ejpam-6012	1	135	110311	110311	NUM
ejpam-6012	1	136	,	,	PUNCT
ejpam-6012	1	137	colombia	colombia	PROPN
ejpam-6012	1	138	abstract	abstract	NOUN
ejpam-6012	1	139	.	.	PUNCT
ejpam-6012	2	1	this	this	DET
ejpam-6012	2	2	research	research	NOUN
ejpam-6012	2	3	focuses	focus	VERB
ejpam-6012	2	4	on	on	ADP
ejpam-6012	2	5	a	a	DET
ejpam-6012	2	6	(	(	PUNCT
ejpam-6012	2	7	3	3	NUM
ejpam-6012	2	8	+	+	NOUN
ejpam-6012	2	9	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	2	10	nonlinear	nonlinear	ADJ
ejpam-6012	2	11	evolution	evolution	NOUN
ejpam-6012	2	12	model	model	NOUN
ejpam-6012	2	13	originating	originate	VERB
ejpam-6012	2	14	from	from	ADP
ejpam-6012	2	15	the	the	DET
ejpam-6012	2	16	jaulent	jaulent	NOUN
ejpam-6012	2	17	-	-	PUNCT
ejpam-6012	2	18	miodek	miodek	NOUN
ejpam-6012	2	19	hierarchy	hierarchy	NOUN
ejpam-6012	2	20	.	.	PUNCT
ejpam-6012	3	1	several	several	ADJ
ejpam-6012	3	2	tools	tool	NOUN
ejpam-6012	3	3	can	can	AUX
ejpam-6012	3	4	be	be	AUX
ejpam-6012	3	5	used	use	VERB
ejpam-6012	3	6	to	to	PART
ejpam-6012	3	7	examine	examine	VERB
ejpam-6012	3	8	the	the	DET
ejpam-6012	3	9	symmetry	symmetry	NOUN
ejpam-6012	3	10	of	of	ADP
ejpam-6012	3	11	the	the	DET
ejpam-6012	3	12	model	model	NOUN
ejpam-6012	3	13	.	.	PUNCT
ejpam-6012	4	1	however	however	ADV
ejpam-6012	4	2	,	,	PUNCT
ejpam-6012	4	3	our	our	PRON
ejpam-6012	4	4	primary	primary	ADJ
ejpam-6012	4	5	emphasis	emphasis	NOUN
ejpam-6012	4	6	lies	lie	VERB
ejpam-6012	4	7	in	in	ADP
ejpam-6012	4	8	harnessing	harness	VERB
ejpam-6012	4	9	one	one	NUM
ejpam-6012	4	10	of	of	ADP
ejpam-6012	4	11	the	the	DET
ejpam-6012	4	12	most	most	ADV
ejpam-6012	4	13	significant	significant	ADJ
ejpam-6012	4	14	and	and	CCONJ
ejpam-6012	4	15	powerful	powerful	ADJ
ejpam-6012	4	16	analytical	analytical	ADJ
ejpam-6012	4	17	tools	tool	NOUN
ejpam-6012	4	18	available	available	ADJ
ejpam-6012	4	19	for	for	ADP
ejpam-6012	4	20	this	this	DET
ejpam-6012	4	21	purpose	purpose	NOUN
ejpam-6012	4	22	:	:	PUNCT
ejpam-6012	4	23	the	the	DET
ejpam-6012	4	24	lie	lie	NOUN
ejpam-6012	4	25	group	group	NOUN
ejpam-6012	4	26	method	method	NOUN
ejpam-6012	4	27	.	.	PUNCT
ejpam-6012	5	1	the	the	DET
ejpam-6012	5	2	lie	lie	NOUN
ejpam-6012	5	3	group	group	NOUN
ejpam-6012	5	4	method	method	NOUN
ejpam-6012	5	5	is	be	AUX
ejpam-6012	5	6	an	an	DET
ejpam-6012	5	7	effective	effective	ADJ
ejpam-6012	5	8	approach	approach	NOUN
ejpam-6012	5	9	for	for	ADP
ejpam-6012	5	10	uncovering	uncover	VERB
ejpam-6012	5	11	the	the	DET
ejpam-6012	5	12	symmetry	symmetry	NOUN
ejpam-6012	5	13	properties	property	NOUN
ejpam-6012	5	14	inherent	inherent	ADJ
ejpam-6012	5	15	in	in	ADP
ejpam-6012	5	16	a	a	DET
ejpam-6012	5	17	model	model	NOUN
ejpam-6012	5	18	and	and	CCONJ
ejpam-6012	5	19	exploring	explore	VERB
ejpam-6012	5	20	groupinvariant	groupinvariant	ADJ
ejpam-6012	5	21	solutions	solution	NOUN
ejpam-6012	5	22	using	use	VERB
ejpam-6012	5	23	symmetry	symmetry	NOUN
ejpam-6012	5	24	algebra	algebra	NOUN
ejpam-6012	5	25	.	.	PUNCT
ejpam-6012	6	1	in	in	ADP
ejpam-6012	6	2	addition	addition	NOUN
ejpam-6012	6	3	,	,	PUNCT
ejpam-6012	6	4	we	we	PRON
ejpam-6012	6	5	applied	apply	VERB
ejpam-6012	6	6	ibragimov	ibragimov	NOUN
ejpam-6012	6	7	’s	’s	PART
ejpam-6012	6	8	method	method	NOUN
ejpam-6012	6	9	to	to	PART
ejpam-6012	6	10	study	study	VERB
ejpam-6012	6	11	conservation	conservation	NOUN
ejpam-6012	6	12	laws	law	NOUN
ejpam-6012	6	13	relevant	relevant	ADJ
ejpam-6012	6	14	to	to	ADP
ejpam-6012	6	15	the	the	DET
ejpam-6012	6	16	considered	consider	VERB
ejpam-6012	6	17	model	model	NOUN
ejpam-6012	6	18	.	.	PUNCT
ejpam-6012	7	1	our	our	PRON
ejpam-6012	7	2	study	study	NOUN
ejpam-6012	7	3	is	be	AUX
ejpam-6012	7	4	significant	significant	ADJ
ejpam-6012	7	5	as	as	SCONJ
ejpam-6012	7	6	it	it	PRON
ejpam-6012	7	7	contributes	contribute	VERB
ejpam-6012	7	8	to	to	ADP
ejpam-6012	7	9	the	the	DET
ejpam-6012	7	10	investigation	investigation	NOUN
ejpam-6012	7	11	of	of	ADP
ejpam-6012	7	12	this	this	DET
ejpam-6012	7	13	model	model	NOUN
ejpam-6012	7	14	and	and	CCONJ
ejpam-6012	7	15	addresses	address	VERB
ejpam-6012	7	16	a	a	DET
ejpam-6012	7	17	particular	particular	ADJ
ejpam-6012	7	18	gap	gap	NOUN
ejpam-6012	7	19	in	in	ADP
ejpam-6012	7	20	the	the	DET
ejpam-6012	7	21	group	group	NOUN
ejpam-6012	7	22	-	-	PUNCT
ejpam-6012	7	23	theoretic	theoretic	NOUN
ejpam-6012	7	24	approach	approach	NOUN
ejpam-6012	7	25	in	in	ADP
ejpam-6012	7	26	this	this	DET
ejpam-6012	7	27	context	context	NOUN
ejpam-6012	7	28	.	.	PUNCT
ejpam-6012	8	1	our	our	PRON
ejpam-6012	8	2	findings	finding	NOUN
ejpam-6012	8	3	represent	represent	VERB
ejpam-6012	8	4	novel	novel	ADJ
ejpam-6012	8	5	contributions	contribution	NOUN
ejpam-6012	8	6	to	to	ADP
ejpam-6012	8	7	the	the	DET
ejpam-6012	8	8	study	study	NOUN
ejpam-6012	8	9	of	of	ADP
ejpam-6012	8	10	the	the	DET
ejpam-6012	8	11	model	model	NOUN
ejpam-6012	8	12	under	under	ADP
ejpam-6012	8	13	consideration	consideration	NOUN
ejpam-6012	8	14	.	.	PUNCT
ejpam-6012	9	1	2020	2020	NUM
ejpam-6012	9	2	mathematics	mathematic	NOUN
ejpam-6012	9	3	subject	subject	NOUN
ejpam-6012	9	4	classifications	classification	NOUN
ejpam-6012	9	5	:	:	PUNCT
ejpam-6012	9	6	70g65	70g65	NUM
ejpam-6012	9	7	,	,	PUNCT
ejpam-6012	9	8	35	35	NUM
ejpam-6012	9	9	-	-	SYM
ejpam-6012	9	10	xx	xx	NUM
ejpam-6012	9	11	,	,	PUNCT
ejpam-6012	9	12	70s10	70s10	NUM
ejpam-6012	9	13	,	,	PUNCT
ejpam-6012	9	14	22e70	22e70	NUM
ejpam-6012	9	15	key	key	ADJ
ejpam-6012	9	16	words	word	NOUN
ejpam-6012	9	17	and	and	CCONJ
ejpam-6012	9	18	phrases	phrase	NOUN
ejpam-6012	9	19	:	:	PUNCT
ejpam-6012	9	20	lie	lie	NOUN
ejpam-6012	9	21	group	group	NOUN
ejpam-6012	9	22	method	method	NOUN
ejpam-6012	9	23	,	,	PUNCT
ejpam-6012	9	24	nonlinear	nonlinear	ADJ
ejpam-6012	9	25	evolution	evolution	NOUN
ejpam-6012	9	26	model	model	NOUN
ejpam-6012	9	27	,	,	PUNCT
ejpam-6012	9	28	symmetry	symmetry	NOUN
ejpam-6012	9	29	algebra	algebra	NOUN
ejpam-6012	9	30	,	,	PUNCT
ejpam-6012	9	31	jaulent	jaulent	NOUN
ejpam-6012	9	32	-	-	PUNCT
ejpam-6012	9	33	miodek	miodek	NOUN
ejpam-6012	9	34	hierarchy	hierarchy	NOUN
ejpam-6012	9	35	,	,	PUNCT
ejpam-6012	9	36	conservation	conservation	NOUN
ejpam-6012	9	37	laws	law	NOUN
ejpam-6012	9	38	1	1	NUM
ejpam-6012	9	39	.	.	PUNCT
ejpam-6012	10	1	introduction	introduction	NOUN
ejpam-6012	10	2	many	many	ADJ
ejpam-6012	10	3	physical	physical	ADJ
ejpam-6012	10	4	phenomena	phenomenon	NOUN
ejpam-6012	10	5	encountered	encounter	VERB
ejpam-6012	10	6	in	in	ADP
ejpam-6012	10	7	mechanics	mechanic	NOUN
ejpam-6012	10	8	,	,	PUNCT
ejpam-6012	10	9	physics	physics	NOUN
ejpam-6012	10	10	,	,	PUNCT
ejpam-6012	10	11	engineering	engineering	NOUN
ejpam-6012	10	12	,	,	PUNCT
ejpam-6012	10	13	biology	biology	NOUN
ejpam-6012	10	14	,	,	PUNCT
ejpam-6012	10	15	and	and	CCONJ
ejpam-6012	10	16	chemistry	chemistry	NOUN
ejpam-6012	10	17	have	have	AUX
ejpam-6012	10	18	been	be	AUX
ejpam-6012	10	19	effectively	effectively	ADV
ejpam-6012	10	20	described	describe	VERB
ejpam-6012	10	21	through	through	ADP
ejpam-6012	10	22	nonlinear	nonlinear	ADJ
ejpam-6012	10	23	partial	partial	ADJ
ejpam-6012	10	24	differential	differential	NOUN
ejpam-6012	10	25	equations	equation	NOUN
ejpam-6012	10	26	(	(	PUNCT
ejpam-6012	10	27	pdes	pde	NOUN
ejpam-6012	10	28	)	)	PUNCT
ejpam-6012	10	29	.	.	PUNCT
ejpam-6012	11	1	nonlinear	nonlinear	ADJ
ejpam-6012	11	2	wave	wave	NOUN
ejpam-6012	11	3	equations	equation	NOUN
ejpam-6012	11	4	frequently	frequently	ADV
ejpam-6012	11	5	encompass	encompass	VERB
ejpam-6012	11	6	a	a	DET
ejpam-6012	11	7	multitude	multitude	NOUN
ejpam-6012	11	8	of	of	ADP
ejpam-6012	11	9	factors	factor	NOUN
ejpam-6012	11	10	,	,	PUNCT
ejpam-6012	11	11	including	include	VERB
ejpam-6012	11	12	dispersion	dispersion	NOUN
ejpam-6012	11	13	,	,	PUNCT
ejpam-6012	11	14	diffusion	diffusion	NOUN
ejpam-6012	11	15	,	,	PUNCT
ejpam-6012	11	16	dissipation	dissipation	NOUN
ejpam-6012	11	17	,	,	PUNCT
ejpam-6012	11	18	reaction	reaction	NOUN
ejpam-6012	11	19	,	,	PUNCT
ejpam-6012	11	20	and	and	CCONJ
ejpam-6012	11	21	convection	convection	NOUN
ejpam-6012	11	22	.	.	PUNCT
ejpam-6012	12	1	the	the	DET
ejpam-6012	12	2	pursuit	pursuit	NOUN
ejpam-6012	12	3	of	of	ADP
ejpam-6012	12	4	exact	exact	ADJ
ejpam-6012	12	5	solutions	solution	NOUN
ejpam-6012	12	6	to	to	ADP
ejpam-6012	12	7	these	these	DET
ejpam-6012	12	8	equations	equation	NOUN
ejpam-6012	12	9	plays	play	VERB
ejpam-6012	12	10	a	a	DET
ejpam-6012	12	11	significant	significant	ADJ
ejpam-6012	12	12	role	role	NOUN
ejpam-6012	12	13	in	in	ADP
ejpam-6012	12	14	our	our	PRON
ejpam-6012	12	15	understanding	understanding	NOUN
ejpam-6012	12	16	of	of	ADP
ejpam-6012	12	17	the	the	DET
ejpam-6012	12	18	wave	wave	NOUN
ejpam-6012	12	19	∗corresponding	∗corresponde	VERB
ejpam-6012	12	20	author	author	NOUN
ejpam-6012	12	21	.	.	PUNCT
ejpam-6012	13	1	doi	doi	NOUN
ejpam-6012	13	2	:	:	PUNCT
ejpam-6012	13	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6012	https://doi.org/10.29020/nybg.ejpam.v18i3.6012	PROPN
ejpam-6012	13	4	email	email	NOUN
ejpam-6012	13	5	addresses	address	NOUN
ejpam-6012	13	6	:	:	PUNCT
ejpam-6012	13	7	akhtarhussain21@sms.edu.pk	akhtarhussain21@sms.edu.pk	PUNCT
ejpam-6012	13	8	(	(	PUNCT
ejpam-6012	13	9	a.	a.	NOUN
ejpam-6012	13	10	hussain	hussain	PROPN
ejpam-6012	13	11	)	)	PUNCT
ejpam-6012	13	12	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6012	14	1	1	1	NUM
ejpam-6012	14	2	copyright	copyright	NOUN
ejpam-6012	14	3	:	:	PUNCT
ejpam-6012	14	4	©	©	PROPN
ejpam-6012	14	5	2025	2025	NUM
ejpam-6012	14	6	the	the	DET
ejpam-6012	14	7	author(s	author(s	NOUN
ejpam-6012	14	8	)	)	PUNCT
ejpam-6012	14	9	.	.	PUNCT
ejpam-6012	15	1	(	(	PUNCT
ejpam-6012	15	2	cc	cc	NOUN
ejpam-6012	15	3	by	by	ADP
ejpam-6012	15	4	-	-	PUNCT
ejpam-6012	15	5	nc	nc	PROPN
ejpam-6012	15	6	4.0	4.0	NUM
ejpam-6012	15	7	)	)	PUNCT
ejpam-6012	15	8	a.	a.	NOUN
ejpam-6012	15	9	hussain	hussain	PROPN
ejpam-6012	15	10	et	et	PROPN
ejpam-6012	15	11	al	al	PROPN
ejpam-6012	15	12	.	.	PUNCT
ejpam-6012	15	13	/	/	SYM
ejpam-6012	15	14	eur	eur	PROPN
ejpam-6012	15	15	.	.	PUNCT
ejpam-6012	16	1	j.	j.	PROPN
ejpam-6012	16	2	pure	pure	PROPN
ejpam-6012	16	3	appl	appl	PROPN
ejpam-6012	16	4	.	.	PROPN
ejpam-6012	16	5	math	math	PROPN
ejpam-6012	16	6	,	,	PUNCT
ejpam-6012	16	7	18	18	NUM
ejpam-6012	16	8	(	(	PUNCT
ejpam-6012	16	9	3	3	NUM
ejpam-6012	16	10	)	)	PUNCT
ejpam-6012	16	11	(	(	PUNCT
ejpam-6012	16	12	2025	2025	NUM
ejpam-6012	16	13	)	)	PUNCT
ejpam-6012	16	14	,	,	PUNCT
ejpam-6012	16	15	6012	6012	NUM
ejpam-6012	16	16	2	2	NUM
ejpam-6012	16	17	of	of	ADP
ejpam-6012	16	18	20	20	NUM
ejpam-6012	16	19	propagation	propagation	NOUN
ejpam-6012	16	20	.	.	PUNCT
ejpam-6012	17	1	solitons	soliton	NOUN
ejpam-6012	18	1	[	[	X
ejpam-6012	18	2	1	1	NUM
ejpam-6012	18	3	,	,	PUNCT
ejpam-6012	18	4	2	2	NUM
ejpam-6012	18	5	]	]	PUNCT
ejpam-6012	18	6	,	,	PUNCT
ejpam-6012	18	7	for	for	ADP
ejpam-6012	18	8	instance	instance	NOUN
ejpam-6012	18	9	,	,	PUNCT
ejpam-6012	18	10	emerge	emerge	VERB
ejpam-6012	18	11	from	from	ADP
ejpam-6012	18	12	a	a	DET
ejpam-6012	18	13	delicate	delicate	ADJ
ejpam-6012	18	14	balance	balance	NOUN
ejpam-6012	18	15	between	between	ADP
ejpam-6012	18	16	nonlinearity	nonlinearity	NOUN
ejpam-6012	18	17	and	and	CCONJ
ejpam-6012	18	18	linear	linear	ADJ
ejpam-6012	18	19	dispersion	dispersion	NOUN
ejpam-6012	18	20	,	,	PUNCT
ejpam-6012	18	21	whereas	whereas	SCONJ
ejpam-6012	18	22	a	a	DET
ejpam-6012	18	23	distinct	distinct	ADJ
ejpam-6012	18	24	class	class	NOUN
ejpam-6012	18	25	of	of	ADP
ejpam-6012	18	26	solitons	soliton	NOUN
ejpam-6012	18	27	known	know	VERB
ejpam-6012	18	28	as	as	ADP
ejpam-6012	18	29	“	"	PUNCT
ejpam-6012	18	30	compactons	compacton	NOUN
ejpam-6012	18	31	,	,	PUNCT
ejpam-6012	18	32	”	"	PUNCT
ejpam-6012	18	33	characterized	characterize	VERB
ejpam-6012	18	34	by	by	ADP
ejpam-6012	18	35	the	the	DET
ejpam-6012	18	36	absence	absence	NOUN
ejpam-6012	18	37	of	of	ADP
ejpam-6012	18	38	exponential	exponential	ADJ
ejpam-6012	18	39	tails	tail	NOUN
ejpam-6012	18	40	,	,	PUNCT
ejpam-6012	18	41	arises	arise	VERB
ejpam-6012	18	42	from	from	ADP
ejpam-6012	18	43	the	the	DET
ejpam-6012	18	44	interplay	interplay	NOUN
ejpam-6012	18	45	between	between	ADP
ejpam-6012	18	46	nonlinearity	nonlinearity	NOUN
ejpam-6012	18	47	and	and	CCONJ
ejpam-6012	18	48	genuinely	genuinely	ADV
ejpam-6012	18	49	nonlinear	nonlinear	ADJ
ejpam-6012	18	50	dispersion	dispersion	NOUN
ejpam-6012	18	51	.	.	PUNCT
ejpam-6012	19	1	the	the	DET
ejpam-6012	19	2	solitary	solitary	ADJ
ejpam-6012	19	3	wave	wave	NOUN
ejpam-6012	19	4	theory	theory	NOUN
ejpam-6012	19	5	encompasses	encompass	VERB
ejpam-6012	19	6	a	a	DET
ejpam-6012	19	7	wide	wide	ADJ
ejpam-6012	19	8	array	array	NOUN
ejpam-6012	19	9	of	of	ADP
ejpam-6012	19	10	phenomena	phenomenon	NOUN
ejpam-6012	19	11	that	that	SCONJ
ejpam-6012	19	12	researchers	researcher	NOUN
ejpam-6012	19	13	are	be	AUX
ejpam-6012	19	14	eager	eager	ADJ
ejpam-6012	19	15	to	to	PART
ejpam-6012	19	16	investigate	investigate	VERB
ejpam-6012	19	17	,	,	PUNCT
ejpam-6012	19	18	with	with	ADP
ejpam-6012	19	19	the	the	DET
ejpam-6012	19	20	aim	aim	NOUN
ejpam-6012	19	21	of	of	ADP
ejpam-6012	19	22	uncovering	uncover	VERB
ejpam-6012	19	23	the	the	DET
ejpam-6012	19	24	underlying	underlie	VERB
ejpam-6012	19	25	structures	structure	NOUN
ejpam-6012	19	26	within	within	ADP
ejpam-6012	19	27	the	the	DET
ejpam-6012	19	28	resulting	result	VERB
ejpam-6012	19	29	wave	wave	NOUN
ejpam-6012	19	30	solutions	solution	NOUN
ejpam-6012	19	31	.	.	PUNCT
ejpam-6012	20	1	in	in	ADP
ejpam-6012	20	2	references	reference	NOUN
ejpam-6012	20	3	[	[	X
ejpam-6012	20	4	3–5	3–5	NOUN
ejpam-6012	20	5	]	]	PUNCT
ejpam-6012	20	6	,	,	PUNCT
ejpam-6012	20	7	four	four	NUM
ejpam-6012	20	8	(	(	PUNCT
ejpam-6012	20	9	2	2	NUM
ejpam-6012	20	10	+	+	NOUN
ejpam-6012	20	11	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	20	12	nonlinear	nonlinear	ADJ
ejpam-6012	20	13	models	model	NOUN
ejpam-6012	20	14	,	,	PUNCT
ejpam-6012	20	15	stemming	stem	VERB
ejpam-6012	20	16	from	from	ADP
ejpam-6012	20	17	the	the	DET
ejpam-6012	20	18	jaulent	jaulent	NOUN
ejpam-6012	20	19	-	-	PUNCT
ejpam-6012	20	20	miodek	miodek	NOUN
ejpam-6012	20	21	hierarchy	hierarchy	NOUN
ejpam-6012	20	22	,	,	PUNCT
ejpam-6012	20	23	were	be	AUX
ejpam-6012	20	24	formulated	formulate	VERB
ejpam-6012	20	25	in	in	ADP
ejpam-6012	20	26	the	the	DET
ejpam-6012	20	27	following	follow	VERB
ejpam-6012	20	28	manner	manner	NOUN
ejpam-6012	20	29	ψt	ψt	NOUN
ejpam-6012	20	30	=	=	NOUN
ejpam-6012	20	31	−(ψxx	−(ψxx	ADP
ejpam-6012	20	32	−	−	PROPN
ejpam-6012	20	33	2ψ3)x	2ψ3)x	NUM
ejpam-6012	20	34	−	−	NOUN
ejpam-6012	20	35	3	3	NUM
ejpam-6012	20	36	2	2	NUM
ejpam-6012	20	37	(	(	PUNCT
ejpam-6012	20	38	ψx∂	ψx∂	NUM
ejpam-6012	20	39	−1	−1	NOUN
ejpam-6012	20	40	x	x	X
ejpam-6012	20	41	ψy	ψy	PROPN
ejpam-6012	20	42	+	+	NUM
ejpam-6012	20	43	ψψy	ψψy	PROPN
ejpam-6012	20	44	)	)	PUNCT
ejpam-6012	20	45	,	,	PUNCT
ejpam-6012	20	46	ψt	ψt	VERB
ejpam-6012	20	47	=	=	NOUN
ejpam-6012	20	48	1	1	NUM
ejpam-6012	20	49	2	2	NUM
ejpam-6012	20	50	(	(	PUNCT
ejpam-6012	20	51	ψxx	ψxx	NOUN
ejpam-6012	20	52	−	−	PROPN
ejpam-6012	20	53	2ψ3)x	2ψ3)x	NUM
ejpam-6012	20	54	+	+	CCONJ
ejpam-6012	20	55	3	3	NUM
ejpam-6012	20	56	2	2	NUM
ejpam-6012	20	57	(	(	PUNCT
ejpam-6012	20	58	−	−	PROPN
ejpam-6012	20	59	1	1	NUM
ejpam-6012	20	60	4	4	NUM
ejpam-6012	20	61	∂−1	∂−1	NOUN
ejpam-6012	20	62	x	x	NOUN
ejpam-6012	20	63	ψyy	ψyy	VERB
ejpam-6012	20	64	+	+	CCONJ
ejpam-6012	20	65	ψψy	ψψy	NOUN
ejpam-6012	20	66	)	)	PUNCT
ejpam-6012	20	67	,	,	PUNCT
ejpam-6012	20	68	ψt	ψt	VERB
ejpam-6012	20	69	=	=	PUNCT
ejpam-6012	20	70	−1	−1	NOUN
ejpam-6012	20	71	4	4	NUM
ejpam-6012	20	72	(	(	PUNCT
ejpam-6012	20	73	ψxx	ψxx	NOUN
ejpam-6012	20	74	−	−	NOUN
ejpam-6012	20	75	2ψ3)x	2ψ3)x	NUM
ejpam-6012	21	1	−	−	NOUN
ejpam-6012	21	2	3	3	NUM
ejpam-6012	21	3	4	4	NUM
ejpam-6012	21	4	(	(	PUNCT
ejpam-6012	21	5	1	1	NUM
ejpam-6012	21	6	4	4	NUM
ejpam-6012	21	7	∂−1	∂−1	NOUN
ejpam-6012	21	8	x	x	NOUN
ejpam-6012	21	9	ψyy	ψyy	VERB
ejpam-6012	21	10	+	+	CCONJ
ejpam-6012	21	11	ψx∂	ψx∂	NUM
ejpam-6012	21	12	−1	−1	NOUN
ejpam-6012	21	13	x	x	SYM
ejpam-6012	21	14	ψy	ψy	PROPN
ejpam-6012	21	15	)	)	PUNCT
ejpam-6012	21	16	,	,	PUNCT
ejpam-6012	21	17	ψt	ψt	VERB
ejpam-6012	21	18	=	=	NOUN
ejpam-6012	21	19	2(ψxx	2(ψxx	NUM
ejpam-6012	22	1	−	−	NOUN
ejpam-6012	22	2	2ψ3)x	2ψ3)x	NUM
ejpam-6012	22	3	−	−	NOUN
ejpam-6012	22	4	3	3	NUM
ejpam-6012	22	5	4	4	NUM
ejpam-6012	22	6	(	(	PUNCT
ejpam-6012	22	7	∂−1	∂−1	NOUN
ejpam-6012	22	8	x	x	NOUN
ejpam-6012	22	9	ψyy	ψyy	VERB
ejpam-6012	22	10	−	−	PROPN
ejpam-6012	22	11	2ψx∂	2ψx∂	NUM
ejpam-6012	22	12	−1	−1	NOUN
ejpam-6012	22	13	x	x	PROPN
ejpam-6012	22	14	ψy	ψy	NOUN
ejpam-6012	22	15	−	−	NOUN
ejpam-6012	23	1	6ψψy	6ψψy	NOUN
ejpam-6012	23	2	)	)	PUNCT
ejpam-6012	24	1	,	,	PUNCT
ejpam-6012	24	2	(	(	PUNCT
ejpam-6012	24	3	1	1	X
ejpam-6012	24	4	)	)	PUNCT
ejpam-6012	24	5	where	where	SCONJ
ejpam-6012	24	6	∂−1	∂−1	PROPN
ejpam-6012	24	7	x	x	VERB
ejpam-6012	24	8	is	be	AUX
ejpam-6012	24	9	the	the	DET
ejpam-6012	24	10	inverse	inverse	NOUN
ejpam-6012	24	11	of	of	ADP
ejpam-6012	24	12	∂x	∂x	PROPN
ejpam-6012	24	13	with	with	ADP
ejpam-6012	24	14	∂−1	∂−1	PROPN
ejpam-6012	24	15	x	x	X
ejpam-6012	24	16	∂x	∂x	PROPN
ejpam-6012	24	17	=	=	SYM
ejpam-6012	24	18	∂x∂	∂x∂	VERB
ejpam-6012	24	19	−1	−1	NOUN
ejpam-6012	24	20	x	x	PUNCT
ejpam-6012	24	21	=	=	SYM
ejpam-6012	24	22	1	1	NUM
ejpam-6012	24	23	,	,	PUNCT
ejpam-6012	24	24	and	and	CCONJ
ejpam-6012	24	25	(	(	PUNCT
ejpam-6012	24	26	∂−1	∂−1	NOUN
ejpam-6012	24	27	x	x	X
ejpam-6012	24	28	g)(x	g)(x	PROPN
ejpam-6012	24	29	)	)	PUNCT
ejpam-6012	25	1	=	=	SYM
ejpam-6012	26	1	∫	∫	PROPN
ejpam-6012	26	2	x	x	PROPN
ejpam-6012	27	1	−∞	−∞	ADP
ejpam-6012	27	2	g(t)dt	g(t)dt	PROPN
ejpam-6012	27	3	,	,	PUNCT
ejpam-6012	27	4	(	(	PUNCT
ejpam-6012	27	5	2	2	NUM
ejpam-6012	27	6	)	)	PUNCT
ejpam-6012	27	7	under	under	ADP
ejpam-6012	27	8	decay	decay	NOUN
ejpam-6012	27	9	conditions	condition	NOUN
ejpam-6012	27	10	of	of	ADP
ejpam-6012	27	11	infinity	infinity	NOUN
ejpam-6012	27	12	.	.	PUNCT
ejpam-6012	28	1	the	the	DET
ejpam-6012	28	2	four	four	NUM
ejpam-6012	28	3	models	model	NOUN
ejpam-6012	28	4	were	be	AUX
ejpam-6012	28	5	examined	examine	VERB
ejpam-6012	28	6	in	in	ADP
ejpam-6012	28	7	[	[	X
ejpam-6012	28	8	3–5	3–5	NOUN
ejpam-6012	28	9	]	]	PUNCT
ejpam-6012	28	10	utilizing	utilize	VERB
ejpam-6012	28	11	robust	robust	ADJ
ejpam-6012	28	12	methodologies	methodology	NOUN
ejpam-6012	28	13	such	such	ADJ
ejpam-6012	28	14	as	as	ADP
ejpam-6012	28	15	the	the	DET
ejpam-6012	28	16	wronskian	wronskian	ADJ
ejpam-6012	28	17	form	form	NOUN
ejpam-6012	28	18	,	,	PUNCT
ejpam-6012	28	19	simplified	simplify	VERB
ejpam-6012	28	20	hirota	hirota	PROPN
ejpam-6012	28	21	’s	’s	PART
ejpam-6012	28	22	method	method	NOUN
ejpam-6012	28	23	,	,	PUNCT
ejpam-6012	28	24	and	and	CCONJ
ejpam-6012	28	25	the	the	DET
ejpam-6012	28	26	perturbation	perturbation	NOUN
ejpam-6012	28	27	technique	technique	NOUN
ejpam-6012	28	28	introduced	introduce	VERB
ejpam-6012	28	29	by	by	ADP
ejpam-6012	28	30	herman	herman	PROPN
ejpam-6012	28	31	and	and	CCONJ
ejpam-6012	28	32	nuseir	nuseir	PRON
ejpam-6012	29	1	[	[	X
ejpam-6012	29	2	6	6	NUM
ejpam-6012	29	3	]	]	PUNCT
ejpam-6012	29	4	.	.	PUNCT
ejpam-6012	30	1	these	these	DET
ejpam-6012	30	2	investigations	investigation	NOUN
ejpam-6012	30	3	resulted	result	VERB
ejpam-6012	30	4	in	in	ADP
ejpam-6012	30	5	derivation	derivation	NOUN
ejpam-6012	30	6	of	of	ADP
ejpam-6012	30	7	n	n	DET
ejpam-6012	30	8	soliton	soliton	NOUN
ejpam-6012	30	9	solutions	solution	NOUN
ejpam-6012	30	10	for	for	ADP
ejpam-6012	30	11	each	each	DET
ejpam-6012	30	12	model	model	NOUN
ejpam-6012	30	13	.	.	PUNCT
ejpam-6012	31	1	wazwaz	wazwaz	NOUN
ejpam-6012	32	1	[	[	X
ejpam-6012	32	2	7	7	NUM
ejpam-6012	32	3	]	]	PUNCT
ejpam-6012	32	4	extended	extend	VERB
ejpam-6012	32	5	the	the	DET
ejpam-6012	32	6	research	research	NOUN
ejpam-6012	32	7	presented	present	VERB
ejpam-6012	32	8	in	in	ADP
ejpam-6012	32	9	[	[	X
ejpam-6012	32	10	3–5	3–5	NOUN
ejpam-6012	32	11	]	]	PUNCT
ejpam-6012	32	12	by	by	ADP
ejpam-6012	32	13	delving	delve	VERB
ejpam-6012	32	14	into	into	ADP
ejpam-6012	32	15	the	the	DET
ejpam-6012	32	16	analysis	analysis	NOUN
ejpam-6012	32	17	of	of	ADP
ejpam-6012	32	18	four	four	NUM
ejpam-6012	32	19	(	(	PUNCT
ejpam-6012	32	20	3	3	NUM
ejpam-6012	32	21	+	+	NOUN
ejpam-6012	32	22	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	32	23	nonlinear	nonlinear	ADJ
ejpam-6012	32	24	models	model	NOUN
ejpam-6012	32	25	derived	derive	VERB
ejpam-6012	32	26	from	from	ADP
ejpam-6012	32	27	the	the	DET
ejpam-6012	32	28	jaulent	jaulent	NOUN
ejpam-6012	32	29	-	-	PUNCT
ejpam-6012	32	30	miodek	miodek	NOUN
ejpam-6012	32	31	hierarchy	hierarchy	NOUN
ejpam-6012	32	32	.	.	PUNCT
ejpam-6012	33	1	he	he	PRON
ejpam-6012	33	2	formulated	formulate	VERB
ejpam-6012	33	3	these	these	DET
ejpam-6012	33	4	(	(	PUNCT
ejpam-6012	33	5	3	3	NUM
ejpam-6012	33	6	+	+	NOUN
ejpam-6012	33	7	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	33	8	models	model	NOUN
ejpam-6012	33	9	in	in	ADP
ejpam-6012	33	10	the	the	DET
ejpam-6012	33	11	following	follow	VERB
ejpam-6012	33	12	ψt	ψt	NOUN
ejpam-6012	33	13	=	=	PROPN
ejpam-6012	33	14	−(ψxx	−(ψxx	ADP
ejpam-6012	33	15	−	−	PROPN
ejpam-6012	33	16	2ψ3)x	2ψ3)x	NUM
ejpam-6012	33	17	−	−	NOUN
ejpam-6012	33	18	3	3	NUM
ejpam-6012	33	19	2	2	NUM
ejpam-6012	33	20	(	(	PUNCT
ejpam-6012	33	21	ψx∂	ψx∂	NUM
ejpam-6012	33	22	−1	−1	NOUN
ejpam-6012	33	23	x	x	X
ejpam-6012	33	24	ψy	ψy	PROPN
ejpam-6012	33	25	+	+	NUM
ejpam-6012	33	26	ψψy	ψψy	PROPN
ejpam-6012	33	27	)	)	PUNCT
ejpam-6012	33	28	+	+	NUM
ejpam-6012	33	29	a∂−1	a∂−1	NOUN
ejpam-6012	33	30	x	x	X
ejpam-6012	33	31	ψzz	ψzz	PROPN
ejpam-6012	33	32	,	,	PUNCT
ejpam-6012	33	33	ψt	ψt	NOUN
ejpam-6012	33	34	=	=	NOUN
ejpam-6012	33	35	1	1	NUM
ejpam-6012	33	36	2	2	NUM
ejpam-6012	33	37	(	(	PUNCT
ejpam-6012	33	38	ψxx	ψxx	NOUN
ejpam-6012	33	39	−	−	PROPN
ejpam-6012	33	40	2ψ3)x	2ψ3)x	NUM
ejpam-6012	33	41	+	+	CCONJ
ejpam-6012	33	42	3	3	NUM
ejpam-6012	33	43	2	2	NUM
ejpam-6012	33	44	(	(	PUNCT
ejpam-6012	33	45	−	−	PROPN
ejpam-6012	33	46	1	1	NUM
ejpam-6012	33	47	4	4	NUM
ejpam-6012	33	48	∂−1	∂−1	NOUN
ejpam-6012	33	49	x	x	NOUN
ejpam-6012	33	50	ψyy	ψyy	VERB
ejpam-6012	33	51	+	+	CCONJ
ejpam-6012	33	52	ψψy	ψψy	NOUN
ejpam-6012	33	53	)	)	PUNCT
ejpam-6012	34	1	+	+	PUNCT
ejpam-6012	34	2	a∂−1	a∂−1	X
ejpam-6012	34	3	x	x	X
ejpam-6012	34	4	ψzz	ψzz	PROPN
ejpam-6012	34	5	,	,	PUNCT
ejpam-6012	34	6	ψt	ψt	NOUN
ejpam-6012	34	7	=	=	PUNCT
ejpam-6012	34	8	−1	−1	NOUN
ejpam-6012	34	9	4	4	NUM
ejpam-6012	34	10	(	(	PUNCT
ejpam-6012	34	11	ψxx	ψxx	NOUN
ejpam-6012	34	12	−	−	NOUN
ejpam-6012	34	13	2ψ3)x	2ψ3)x	NUM
ejpam-6012	34	14	−	−	NOUN
ejpam-6012	34	15	3	3	NUM
ejpam-6012	34	16	4	4	NUM
ejpam-6012	34	17	(	(	PUNCT
ejpam-6012	34	18	1	1	NUM
ejpam-6012	34	19	4	4	NUM
ejpam-6012	34	20	∂−1	∂−1	NOUN
ejpam-6012	34	21	x	x	NOUN
ejpam-6012	34	22	ψyy	ψyy	VERB
ejpam-6012	35	1	+	+	CCONJ
ejpam-6012	35	2	ψx∂	ψx∂	NUM
ejpam-6012	35	3	−1	−1	NOUN
ejpam-6012	35	4	x	x	SYM
ejpam-6012	35	5	ψy	ψy	PROPN
ejpam-6012	35	6	)	)	PUNCT
ejpam-6012	36	1	+	+	PUNCT
ejpam-6012	36	2	a∂−1	a∂−1	NOUN
ejpam-6012	36	3	x	x	X
ejpam-6012	36	4	ψzz	ψzz	PROPN
ejpam-6012	36	5	,	,	PUNCT
ejpam-6012	36	6	ψt	ψt	NOUN
ejpam-6012	36	7	=	=	NOUN
ejpam-6012	36	8	2(ψxx	2(ψxx	NUM
ejpam-6012	37	1	−	−	NOUN
ejpam-6012	37	2	2ψ3)x	2ψ3)x	NUM
ejpam-6012	37	3	−	−	NOUN
ejpam-6012	37	4	3	3	NUM
ejpam-6012	37	5	4	4	NUM
ejpam-6012	37	6	(	(	PUNCT
ejpam-6012	37	7	∂−1	∂−1	NOUN
ejpam-6012	37	8	x	x	NOUN
ejpam-6012	37	9	ψyy	ψyy	VERB
ejpam-6012	37	10	−	−	PROPN
ejpam-6012	37	11	2ψx∂	2ψx∂	NUM
ejpam-6012	37	12	−1	−1	NOUN
ejpam-6012	37	13	x	x	PROPN
ejpam-6012	37	14	ψy	ψy	NOUN
ejpam-6012	38	1	−	−	NOUN
ejpam-6012	38	2	6ψψy	6ψψy	NOUN
ejpam-6012	38	3	)	)	PUNCT
ejpam-6012	39	1	−	−	NOUN
ejpam-6012	39	2	3	3	NUM
ejpam-6012	39	3	4	4	NUM
ejpam-6012	39	4	∂−1	∂−1	NOUN
ejpam-6012	39	5	x	x	X
ejpam-6012	39	6	ψzz	ψzz	NOUN
ejpam-6012	39	7	−	−	NOUN
ejpam-6012	39	8	1	1	NUM
ejpam-6012	39	9	4	4	NUM
ejpam-6012	39	10	ψz	ψz	NOUN
ejpam-6012	39	11	−	−	NUM
ejpam-6012	39	12	1	1	NUM
ejpam-6012	39	13	2	2	NUM
ejpam-6012	39	14	ψy	ψy	NOUN
ejpam-6012	39	15	,	,	PUNCT
ejpam-6012	39	16	(	(	PUNCT
ejpam-6012	39	17	3	3	X
ejpam-6012	39	18	)	)	PUNCT
ejpam-6012	39	19	where	where	SCONJ
ejpam-6012	39	20	a	a	PRON
ejpam-6012	39	21	is	be	AUX
ejpam-6012	39	22	a	a	DET
ejpam-6012	39	23	constant	constant	ADJ
ejpam-6012	39	24	.	.	PUNCT
ejpam-6012	40	1	it	it	PRON
ejpam-6012	40	2	is	be	AUX
ejpam-6012	40	3	evident	evident	ADJ
ejpam-6012	40	4	that	that	SCONJ
ejpam-6012	40	5	these	these	DET
ejpam-6012	40	6	(	(	PUNCT
ejpam-6012	40	7	3	3	NUM
ejpam-6012	40	8	+	+	NOUN
ejpam-6012	40	9	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	40	10	nonlinear	nonlinear	ADJ
ejpam-6012	40	11	models	model	NOUN
ejpam-6012	40	12	(	(	PUNCT
ejpam-6012	40	13	3	3	X
ejpam-6012	40	14	)	)	PUNCT
ejpam-6012	40	15	are	be	AUX
ejpam-6012	40	16	constructed	construct	VERB
ejpam-6012	40	17	by	by	ADP
ejpam-6012	40	18	augmenting	augment	VERB
ejpam-6012	40	19	the	the	DET
ejpam-6012	40	20	first	first	ADJ
ejpam-6012	40	21	three	three	NUM
ejpam-6012	40	22	models	model	NOUN
ejpam-6012	40	23	in	in	ADP
ejpam-6012	40	24	(	(	PUNCT
ejpam-6012	40	25	1	1	NUM
ejpam-6012	40	26	)	)	PUNCT
ejpam-6012	40	27	with	with	ADP
ejpam-6012	40	28	the	the	DET
ejpam-6012	40	29	term	term	NOUN
ejpam-6012	40	30	a∂−1	a∂−1	NOUN
ejpam-6012	41	1	x	x	NOUN
ejpam-6012	41	2	ψzz	ψzz	X
ejpam-6012	41	3	and	and	CCONJ
ejpam-6012	41	4	by	by	ADP
ejpam-6012	41	5	introducing	introduce	VERB
ejpam-6012	41	6	the	the	DET
ejpam-6012	41	7	terms	term	NOUN
ejpam-6012	41	8	−3	−3	PROPN
ejpam-6012	41	9	4∂	4∂	NUM
ejpam-6012	41	10	−1	−1	NOUN
ejpam-6012	41	11	x	x	SYM
ejpam-6012	41	12	ψzz	ψzz	X
ejpam-6012	41	13	−	−	PROPN
ejpam-6012	42	1	1	1	NUM
ejpam-6012	42	2	4ψz	4ψz	NOUN
ejpam-6012	42	3	−	−	NOUN
ejpam-6012	42	4	1	1	NUM
ejpam-6012	42	5	2ψy	2ψy	NOUN
ejpam-6012	42	6	to	to	ADP
ejpam-6012	42	7	the	the	DET
ejpam-6012	42	8	last	last	ADJ
ejpam-6012	42	9	model	model	NOUN
ejpam-6012	42	10	in	in	ADP
ejpam-6012	42	11	(	(	PUNCT
ejpam-6012	42	12	1	1	NUM
ejpam-6012	42	13	)	)	PUNCT
ejpam-6012	42	14	.	.	PUNCT
ejpam-6012	43	1	to	to	PART
ejpam-6012	43	2	eliminate	eliminate	VERB
ejpam-6012	43	3	the	the	DET
ejpam-6012	43	4	a.	a.	NOUN
ejpam-6012	43	5	hussain	hussain	PROPN
ejpam-6012	43	6	et	et	PROPN
ejpam-6012	43	7	al	al	PROPN
ejpam-6012	43	8	.	.	PUNCT
ejpam-6012	43	9	/	/	SYM
ejpam-6012	43	10	eur	eur	PROPN
ejpam-6012	43	11	.	.	PUNCT
ejpam-6012	44	1	j.	j.	PROPN
ejpam-6012	44	2	pure	pure	PROPN
ejpam-6012	44	3	appl	appl	PROPN
ejpam-6012	44	4	.	.	PROPN
ejpam-6012	44	5	math	math	PROPN
ejpam-6012	44	6	,	,	PUNCT
ejpam-6012	44	7	18	18	NUM
ejpam-6012	44	8	(	(	PUNCT
ejpam-6012	44	9	3	3	NUM
ejpam-6012	44	10	)	)	PUNCT
ejpam-6012	44	11	(	(	PUNCT
ejpam-6012	44	12	2025	2025	NUM
ejpam-6012	44	13	)	)	PUNCT
ejpam-6012	44	14	,	,	PUNCT
ejpam-6012	44	15	6012	6012	NUM
ejpam-6012	44	16	3	3	NUM
ejpam-6012	44	17	of	of	ADP
ejpam-6012	44	18	20	20	NUM
ejpam-6012	44	19	integral	integral	ADJ
ejpam-6012	44	20	term	term	NOUN
ejpam-6012	44	21	in	in	ADP
ejpam-6012	44	22	the	the	DET
ejpam-6012	44	23	first	first	ADJ
ejpam-6012	44	24	model	model	NOUN
ejpam-6012	44	25	of	of	ADP
ejpam-6012	44	26	eq	eq	NOUN
ejpam-6012	44	27	(	(	PUNCT
ejpam-6012	44	28	3	3	NUM
ejpam-6012	44	29	)	)	PUNCT
ejpam-6012	44	30	,	,	PUNCT
ejpam-6012	44	31	we	we	PRON
ejpam-6012	44	32	introduce	introduce	VERB
ejpam-6012	44	33	the	the	DET
ejpam-6012	44	34	potential	potential	ADJ
ejpam-6012	44	35	function	function	NOUN
ejpam-6012	44	36	as	as	SCONJ
ejpam-6012	44	37	follows	follow	VERB
ejpam-6012	44	38	ψ(x	ψ(x	PROPN
ejpam-6012	44	39	,	,	PUNCT
ejpam-6012	44	40	y	y	PROPN
ejpam-6012	44	41	,	,	PUNCT
ejpam-6012	44	42	z	z	PROPN
ejpam-6012	44	43	,	,	PUNCT
ejpam-6012	44	44	t	t	PROPN
ejpam-6012	44	45	)	)	PUNCT
ejpam-6012	44	46	=	=	SYM
ejpam-6012	45	1	ux(x	ux(x	PROPN
ejpam-6012	45	2	,	,	PUNCT
ejpam-6012	45	3	y	y	PROPN
ejpam-6012	45	4	,	,	PUNCT
ejpam-6012	45	5	z	z	PROPN
ejpam-6012	45	6	,	,	PUNCT
ejpam-6012	45	7	t	t	PROPN
ejpam-6012	45	8	)	)	PUNCT
ejpam-6012	45	9	,	,	PUNCT
ejpam-6012	45	10	which	which	PRON
ejpam-6012	45	11	allows	allow	VERB
ejpam-6012	45	12	us	we	PRON
ejpam-6012	45	13	to	to	PART
ejpam-6012	45	14	transform	transform	VERB
ejpam-6012	45	15	the	the	DET
ejpam-6012	45	16	model	model	NOUN
ejpam-6012	45	17	into	into	ADP
ejpam-6012	45	18	the	the	DET
ejpam-6012	45	19	equation	equation	NOUN
ejpam-6012	45	20	uxt	uxt	NOUN
ejpam-6012	45	21	+	+	CCONJ
ejpam-6012	45	22	uxxxx	uxxxx	ADJ
ejpam-6012	45	23	−	−	PROPN
ejpam-6012	45	24	6u2xuxx	6u2xuxx	NOUN
ejpam-6012	45	25	+	+	CCONJ
ejpam-6012	45	26	3	3	NUM
ejpam-6012	45	27	2	2	NUM
ejpam-6012	45	28	uxxuy	uxxuy	NOUN
ejpam-6012	45	29	+	+	NOUN
ejpam-6012	45	30	3	3	NUM
ejpam-6012	45	31	2	2	NUM
ejpam-6012	45	32	uxuxy	uxuxy	NOUN
ejpam-6012	45	33	−	−	NOUN
ejpam-6012	45	34	auzz	auzz	NOUN
ejpam-6012	45	35	=	=	PUNCT
ejpam-6012	45	36	0	0	NUM
ejpam-6012	45	37	,	,	PUNCT
ejpam-6012	45	38	(	(	PUNCT
ejpam-6012	45	39	4	4	X
ejpam-6012	45	40	)	)	PUNCT
ejpam-6012	45	41	referred	refer	VERB
ejpam-6012	45	42	to	to	ADP
ejpam-6012	45	43	as	as	ADP
ejpam-6012	45	44	(	(	PUNCT
ejpam-6012	45	45	4	4	NUM
ejpam-6012	45	46	):	):	PUNCT
ejpam-6012	45	47	the	the	DET
ejpam-6012	45	48	main	main	ADJ
ejpam-6012	45	49	objective	objective	NOUN
ejpam-6012	45	50	of	of	ADP
ejpam-6012	45	51	this	this	DET
ejpam-6012	45	52	study	study	NOUN
ejpam-6012	45	53	is	be	AUX
ejpam-6012	45	54	to	to	PART
ejpam-6012	45	55	explore	explore	VERB
ejpam-6012	45	56	the	the	DET
ejpam-6012	45	57	integrability	integrability	NOUN
ejpam-6012	45	58	of	of	ADP
ejpam-6012	45	59	nonlinear	nonlinear	ADJ
ejpam-6012	45	60	model	model	NOUN
ejpam-6012	45	61	(	(	PUNCT
ejpam-6012	45	62	3	3	NUM
ejpam-6012	45	63	)	)	PUNCT
ejpam-6012	45	64	,	,	PUNCT
ejpam-6012	45	65	which	which	PRON
ejpam-6012	45	66	is	be	AUX
ejpam-6012	45	67	equivalent	equivalent	ADJ
ejpam-6012	45	68	to	to	ADP
ejpam-6012	45	69	(	(	PUNCT
ejpam-6012	45	70	4	4	NUM
ejpam-6012	45	71	)	)	PUNCT
ejpam-6012	45	72	.	.	PUNCT
ejpam-6012	46	1	to	to	PART
ejpam-6012	46	2	achieve	achieve	VERB
ejpam-6012	46	3	this	this	PRON
ejpam-6012	46	4	,	,	PUNCT
ejpam-6012	46	5	our	our	PRON
ejpam-6012	46	6	approach	approach	NOUN
ejpam-6012	46	7	begins	begin	VERB
ejpam-6012	46	8	with	with	ADP
ejpam-6012	46	9	an	an	DET
ejpam-6012	46	10	exploration	exploration	NOUN
ejpam-6012	46	11	of	of	ADP
ejpam-6012	46	12	the	the	DET
ejpam-6012	46	13	symmetry	symmetry	NOUN
ejpam-6012	46	14	algebra	algebra	NOUN
ejpam-6012	46	15	of	of	ADP
ejpam-6012	46	16	the	the	DET
ejpam-6012	46	17	model	model	NOUN
ejpam-6012	46	18	,	,	PUNCT
ejpam-6012	46	19	which	which	PRON
ejpam-6012	46	20	is	be	AUX
ejpam-6012	46	21	then	then	ADV
ejpam-6012	46	22	used	use	VERB
ejpam-6012	46	23	to	to	PART
ejpam-6012	46	24	analyze	analyze	VERB
ejpam-6012	46	25	the	the	DET
ejpam-6012	46	26	associated	associated	ADJ
ejpam-6012	46	27	symmetry	symmetry	NOUN
ejpam-6012	46	28	groups	group	NOUN
ejpam-6012	46	29	.	.	PUNCT
ejpam-6012	47	1	we	we	PRON
ejpam-6012	47	2	proceed	proceed	VERB
ejpam-6012	47	3	by	by	ADP
ejpam-6012	47	4	performing	perform	VERB
ejpam-6012	47	5	potential	potential	ADJ
ejpam-6012	47	6	symmetry	symmetry	NOUN
ejpam-6012	47	7	reductions	reduction	NOUN
ejpam-6012	47	8	using	use	VERB
ejpam-6012	47	9	symmetry	symmetry	NOUN
ejpam-6012	47	10	algebra	algebra	NOUN
ejpam-6012	47	11	to	to	PART
ejpam-6012	47	12	derive	derive	VERB
ejpam-6012	47	13	the	the	DET
ejpam-6012	47	14	invariant	invariant	ADJ
ejpam-6012	47	15	solutions	solution	NOUN
ejpam-6012	47	16	.	.	PUNCT
ejpam-6012	48	1	furthermore	furthermore	ADV
ejpam-6012	48	2	,	,	PUNCT
ejpam-6012	48	3	we	we	PRON
ejpam-6012	48	4	aim	aim	VERB
ejpam-6012	48	5	to	to	PART
ejpam-6012	48	6	leverage	leverage	VERB
ejpam-6012	48	7	the	the	DET
ejpam-6012	48	8	symmetry	symmetry	NOUN
ejpam-6012	48	9	algebra	algebra	NOUN
ejpam-6012	48	10	to	to	PART
ejpam-6012	48	11	delve	delve	VERB
ejpam-6012	48	12	into	into	ADP
ejpam-6012	48	13	the	the	DET
ejpam-6012	48	14	local	local	ADJ
ejpam-6012	48	15	conservation	conservation	NOUN
ejpam-6012	48	16	laws	law	NOUN
ejpam-6012	48	17	of	of	ADP
ejpam-6012	48	18	the	the	DET
ejpam-6012	48	19	given	give	VERB
ejpam-6012	48	20	model	model	NOUN
ejpam-6012	48	21	eq	eq	ADP
ejpam-6012	48	22	.	.	PUNCT
ejpam-6012	49	1	(	(	PUNCT
ejpam-6012	49	2	4	4	NUM
ejpam-6012	49	3	)	)	PUNCT
ejpam-6012	49	4	,	,	PUNCT
ejpam-6012	49	5	following	follow	VERB
ejpam-6012	49	6	the	the	DET
ejpam-6012	49	7	principles	principle	NOUN
ejpam-6012	49	8	outlined	outline	VERB
ejpam-6012	49	9	in	in	ADP
ejpam-6012	49	10	ibragimov	ibragimov	NOUN
ejpam-6012	49	11	’s	’s	PART
ejpam-6012	49	12	new	new	ADJ
ejpam-6012	49	13	conservation	conservation	NOUN
ejpam-6012	49	14	theorem	theorem	VERB
ejpam-6012	49	15	.	.	PUNCT
ejpam-6012	50	1	it	it	PRON
ejpam-6012	50	2	is	be	AUX
ejpam-6012	50	3	worth	worth	ADJ
ejpam-6012	50	4	noting	note	VERB
ejpam-6012	50	5	that	that	SCONJ
ejpam-6012	50	6	our	our	PRON
ejpam-6012	50	7	main	main	ADJ
ejpam-6012	50	8	focus	focus	NOUN
ejpam-6012	50	9	is	be	AUX
ejpam-6012	50	10	on	on	ADP
ejpam-6012	50	11	the	the	DET
ejpam-6012	50	12	first	first	ADJ
ejpam-6012	50	13	model	model	NOUN
ejpam-6012	50	14	.	.	PUNCT
ejpam-6012	51	1	however	however	ADV
ejpam-6012	51	2	,	,	PUNCT
ejpam-6012	51	3	it	it	PRON
ejpam-6012	51	4	is	be	AUX
ejpam-6012	51	5	crucial	crucial	ADJ
ejpam-6012	51	6	to	to	PART
ejpam-6012	51	7	emphasize	emphasize	VERB
ejpam-6012	51	8	that	that	DET
ejpam-6012	51	9	wazwaz	wazwaz	NOUN
ejpam-6012	51	10	,	,	PUNCT
ejpam-6012	51	11	as	as	SCONJ
ejpam-6012	51	12	mentioned	mention	VERB
ejpam-6012	51	13	in	in	ADP
ejpam-6012	51	14	[	[	X
ejpam-6012	51	15	7	7	NUM
ejpam-6012	51	16	]	]	PUNCT
ejpam-6012	51	17	,	,	PUNCT
ejpam-6012	51	18	highlighted	highlight	VERB
ejpam-6012	51	19	the	the	DET
ejpam-6012	51	20	significance	significance	NOUN
ejpam-6012	51	21	of	of	ADP
ejpam-6012	51	22	the	the	DET
ejpam-6012	51	23	solutions	solution	NOUN
ejpam-6012	51	24	for	for	ADP
ejpam-6012	51	25	the	the	DET
ejpam-6012	51	26	second	second	ADJ
ejpam-6012	51	27	and	and	CCONJ
ejpam-6012	51	28	third	third	ADJ
ejpam-6012	51	29	models	model	NOUN
ejpam-6012	51	30	,	,	PUNCT
ejpam-6012	51	31	perfectly	perfectly	ADV
ejpam-6012	51	32	aligned	align	VERB
ejpam-6012	51	33	with	with	ADP
ejpam-6012	51	34	those	those	PRON
ejpam-6012	51	35	of	of	ADP
ejpam-6012	51	36	the	the	DET
ejpam-6012	51	37	first	first	ADJ
ejpam-6012	51	38	model	model	NOUN
ejpam-6012	51	39	.	.	PUNCT
ejpam-6012	52	1	the	the	DET
ejpam-6012	52	2	lie	lie	NOUN
ejpam-6012	52	3	symmetry	symmetry	NOUN
ejpam-6012	52	4	method	method	NOUN
ejpam-6012	52	5	[	[	X
ejpam-6012	52	6	8–10	8–10	NOUN
ejpam-6012	52	7	]	]	PUNCT
ejpam-6012	52	8	,	,	PUNCT
ejpam-6012	52	9	which	which	PRON
ejpam-6012	52	10	is	be	AUX
ejpam-6012	52	11	based	base	VERB
ejpam-6012	52	12	on	on	ADP
ejpam-6012	52	13	the	the	DET
ejpam-6012	52	14	principles	principle	NOUN
ejpam-6012	52	15	of	of	ADP
ejpam-6012	52	16	symmetry	symmetry	NOUN
ejpam-6012	52	17	and	and	CCONJ
ejpam-6012	52	18	invariance	invariance	NOUN
ejpam-6012	52	19	,	,	PUNCT
ejpam-6012	52	20	offers	offer	VERB
ejpam-6012	52	21	a	a	DET
ejpam-6012	52	22	systematic	systematic	ADJ
ejpam-6012	52	23	approach	approach	NOUN
ejpam-6012	52	24	to	to	AUX
ejpam-6012	52	25	analytically	analytically	ADV
ejpam-6012	52	26	solve	solve	VERB
ejpam-6012	52	27	differential	differential	ADJ
ejpam-6012	52	28	equations	equation	NOUN
ejpam-6012	52	29	.	.	PUNCT
ejpam-6012	53	1	its	its	PRON
ejpam-6012	53	2	origins	origin	NOUN
ejpam-6012	53	3	are	be	AUX
ejpam-6012	53	4	traced	trace	VERB
ejpam-6012	53	5	back	back	ADV
ejpam-6012	53	6	to	to	ADP
ejpam-6012	53	7	the	the	DET
ejpam-6012	53	8	work	work	NOUN
ejpam-6012	53	9	of	of	ADP
ejpam-6012	53	10	sophus	sophus	PROPN
ejpam-6012	53	11	lie	lie	NOUN
ejpam-6012	53	12	(	(	PUNCT
ejpam-6012	53	13	1842	1842	NUM
ejpam-6012	53	14	-	-	SYM
ejpam-6012	53	15	1899	1899	NUM
ejpam-6012	53	16	)	)	PUNCT
ejpam-6012	53	17	,	,	PUNCT
ejpam-6012	53	18	and	and	CCONJ
ejpam-6012	53	19	it	it	PRON
ejpam-6012	53	20	has	have	AUX
ejpam-6012	53	21	since	since	SCONJ
ejpam-6012	53	22	become	become	VERB
ejpam-6012	53	23	a	a	DET
ejpam-6012	53	24	fundamental	fundamental	ADJ
ejpam-6012	53	25	mathematical	mathematical	ADJ
ejpam-6012	53	26	tool	tool	NOUN
ejpam-6012	53	27	for	for	ADP
ejpam-6012	53	28	researchers	researcher	NOUN
ejpam-6012	53	29	investigating	investigate	VERB
ejpam-6012	53	30	mathematical	mathematical	ADJ
ejpam-6012	53	31	models	model	NOUN
ejpam-6012	53	32	in	in	ADP
ejpam-6012	53	33	fields	field	NOUN
ejpam-6012	53	34	ranging	range	VERB
ejpam-6012	53	35	from	from	ADP
ejpam-6012	53	36	physics	physics	NOUN
ejpam-6012	53	37	and	and	CCONJ
ejpam-6012	53	38	engineering	engineering	NOUN
ejpam-6012	53	39	to	to	ADP
ejpam-6012	53	40	natural	natural	ADJ
ejpam-6012	53	41	sciences	science	NOUN
ejpam-6012	53	42	.	.	PUNCT
ejpam-6012	54	1	comprehensive	comprehensive	ADJ
ejpam-6012	54	2	discussions	discussion	NOUN
ejpam-6012	54	3	of	of	ADP
ejpam-6012	54	4	lie	lie	NOUN
ejpam-6012	54	5	group	group	NOUN
ejpam-6012	54	6	analysis	analysis	NOUN
ejpam-6012	54	7	methods	method	NOUN
ejpam-6012	54	8	[	[	PUNCT
ejpam-6012	54	9	11	11	NUM
ejpam-6012	54	10	]	]	PUNCT
ejpam-6012	54	11	can	can	AUX
ejpam-6012	54	12	be	be	AUX
ejpam-6012	54	13	found	find	VERB
ejpam-6012	54	14	in	in	ADP
ejpam-6012	54	15	various	various	ADJ
ejpam-6012	54	16	books	book	NOUN
ejpam-6012	54	17	,	,	PUNCT
ejpam-6012	54	18	including	include	VERB
ejpam-6012	54	19	those	those	PRON
ejpam-6012	54	20	authored	author	VERB
ejpam-6012	54	21	by	by	ADP
ejpam-6012	54	22	ovsyannikov	ovsyannikov	PROPN
ejpam-6012	55	1	[	[	X
ejpam-6012	55	2	12	12	NUM
ejpam-6012	55	3	]	]	PUNCT
ejpam-6012	55	4	,	,	PUNCT
ejpam-6012	55	5	bluman	bluman	NOUN
ejpam-6012	55	6	and	and	CCONJ
ejpam-6012	55	7	kumei	kumei	NOUN
ejpam-6012	56	1	[	[	X
ejpam-6012	56	2	13	13	NUM
ejpam-6012	56	3	]	]	PUNCT
ejpam-6012	56	4	,	,	PUNCT
ejpam-6012	56	5	olver	olver	PROPN
ejpam-6012	57	1	[	[	X
ejpam-6012	57	2	14	14	NUM
ejpam-6012	57	3	]	]	PUNCT
ejpam-6012	57	4	,	,	PUNCT
ejpam-6012	57	5	and	and	CCONJ
ejpam-6012	57	6	ibragimov	ibragimov	ADJ
ejpam-6012	58	1	[	[	X
ejpam-6012	58	2	15	15	NUM
ejpam-6012	58	3	]	]	X
ejpam-6012	58	4	,	,	PUNCT
ejpam-6012	58	5	among	among	ADP
ejpam-6012	58	6	others	other	NOUN
ejpam-6012	58	7	.	.	PUNCT
ejpam-6012	59	1	it	it	PRON
ejpam-6012	59	2	is	be	AUX
ejpam-6012	59	3	well	well	ADV
ejpam-6012	59	4	established	establish	VERB
ejpam-6012	59	5	that	that	SCONJ
ejpam-6012	59	6	conservation	conservation	NOUN
ejpam-6012	59	7	laws	law	NOUN
ejpam-6012	59	8	play	play	VERB
ejpam-6012	59	9	a	a	DET
ejpam-6012	59	10	pivotal	pivotal	ADJ
ejpam-6012	59	11	role	role	NOUN
ejpam-6012	59	12	in	in	ADP
ejpam-6012	59	13	solving	solve	VERB
ejpam-6012	59	14	the	the	DET
ejpam-6012	59	15	differential	differential	ADJ
ejpam-6012	59	16	equations	equation	NOUN
ejpam-6012	59	17	.	.	PUNCT
ejpam-6012	60	1	the	the	DET
ejpam-6012	60	2	existence	existence	NOUN
ejpam-6012	60	3	of	of	ADP
ejpam-6012	60	4	a	a	DET
ejpam-6012	60	5	substantial	substantial	ADJ
ejpam-6012	60	6	number	number	NOUN
ejpam-6012	60	7	of	of	ADP
ejpam-6012	60	8	conservation	conservation	NOUN
ejpam-6012	60	9	laws	law	NOUN
ejpam-6012	60	10	within	within	ADP
ejpam-6012	60	11	a	a	DET
ejpam-6012	60	12	set	set	NOUN
ejpam-6012	60	13	of	of	ADP
ejpam-6012	60	14	pdes	pde	NOUN
ejpam-6012	60	15	signifies	signify	VERB
ejpam-6012	60	16	their	their	PRON
ejpam-6012	60	17	potential	potential	NOUN
ejpam-6012	60	18	for	for	ADP
ejpam-6012	60	19	integrability	integrability	NOUN
ejpam-6012	60	20	,	,	PUNCT
ejpam-6012	60	21	as	as	SCONJ
ejpam-6012	60	22	elucidated	elucidate	VERB
ejpam-6012	60	23	by	by	ADP
ejpam-6012	60	24	bluman	bluman	NOUN
ejpam-6012	60	25	and	and	CCONJ
ejpam-6012	60	26	kumei	kumei	PROPN
ejpam-6012	60	27	(	(	PUNCT
ejpam-6012	60	28	1989	1989	NUM
ejpam-6012	60	29	)	)	PUNCT
ejpam-6012	60	30	.	.	PUNCT
ejpam-6012	61	1	an	an	DET
ejpam-6012	61	2	insightful	insightful	ADJ
ejpam-6012	61	3	comparison	comparison	NOUN
ejpam-6012	61	4	of	of	ADP
ejpam-6012	61	5	different	different	ADJ
ejpam-6012	61	6	approaches	approach	NOUN
ejpam-6012	61	7	for	for	ADP
ejpam-6012	61	8	deriving	derive	VERB
ejpam-6012	61	9	conservation	conservation	NOUN
ejpam-6012	61	10	laws	law	NOUN
ejpam-6012	61	11	for	for	ADP
ejpam-6012	61	12	specific	specific	ADJ
ejpam-6012	61	13	pdes	pde	NOUN
ejpam-6012	61	14	in	in	ADP
ejpam-6012	61	15	the	the	DET
ejpam-6012	61	16	field	field	NOUN
ejpam-6012	61	17	of	of	ADP
ejpam-6012	61	18	fluid	fluid	ADJ
ejpam-6012	61	19	mechanics	mechanic	NOUN
ejpam-6012	61	20	can	can	AUX
ejpam-6012	61	21	be	be	AUX
ejpam-6012	61	22	found	find	VERB
ejpam-6012	61	23	in	in	ADP
ejpam-6012	61	24	the	the	DET
ejpam-6012	61	25	study	study	NOUN
ejpam-6012	61	26	conducted	conduct	VERB
ejpam-6012	61	27	by	by	ADP
ejpam-6012	61	28	naz	naz	PROPN
ejpam-6012	61	29	[	[	X
ejpam-6012	61	30	16	16	NUM
ejpam-6012	61	31	]	]	PUNCT
ejpam-6012	61	32	and	and	CCONJ
ejpam-6012	61	33	his	his	PRON
ejpam-6012	61	34	team	team	NOUN
ejpam-6012	61	35	published	publish	VERB
ejpam-6012	61	36	in	in	ADP
ejpam-6012	61	37	2008	2008	NUM
ejpam-6012	61	38	.	.	PUNCT
ejpam-6012	62	1	the	the	DET
ejpam-6012	62	2	remainder	remainder	NOUN
ejpam-6012	62	3	of	of	ADP
ejpam-6012	62	4	this	this	DET
ejpam-6012	62	5	paper	paper	NOUN
ejpam-6012	62	6	is	be	AUX
ejpam-6012	62	7	organized	organize	VERB
ejpam-6012	62	8	as	as	SCONJ
ejpam-6012	62	9	follows	follow	VERB
ejpam-6012	62	10	.	.	PUNCT
ejpam-6012	63	1	in	in	ADP
ejpam-6012	63	2	section	section	NOUN
ejpam-6012	63	3	2	2	NUM
ejpam-6012	63	4	,	,	PUNCT
ejpam-6012	63	5	we	we	PRON
ejpam-6012	63	6	explore	explore	VERB
ejpam-6012	63	7	the	the	DET
ejpam-6012	63	8	symmetry	symmetry	NOUN
ejpam-6012	63	9	algebra	algebra	PROPN
ejpam-6012	63	10	of	of	ADP
ejpam-6012	63	11	nonlinear	nonlinear	ADJ
ejpam-6012	63	12	model	model	NOUN
ejpam-6012	63	13	(	(	PUNCT
ejpam-6012	63	14	4	4	NUM
ejpam-6012	63	15	)	)	PUNCT
ejpam-6012	63	16	.	.	PUNCT
ejpam-6012	64	1	subsequently	subsequently	ADV
ejpam-6012	64	2	,	,	PUNCT
ejpam-6012	64	3	in	in	ADP
ejpam-6012	64	4	section	section	NOUN
ejpam-6012	64	5	3	3	NUM
ejpam-6012	64	6	,	,	PUNCT
ejpam-6012	64	7	we	we	PRON
ejpam-6012	64	8	use	use	VERB
ejpam-6012	64	9	it	it	PRON
ejpam-6012	64	10	to	to	PART
ejpam-6012	64	11	perform	perform	VERB
ejpam-6012	64	12	several	several	ADJ
ejpam-6012	64	13	symmetry	symmetry	NOUN
ejpam-6012	64	14	reductions	reduction	NOUN
ejpam-6012	64	15	on	on	ADP
ejpam-6012	64	16	the	the	DET
ejpam-6012	64	17	same	same	ADJ
ejpam-6012	64	18	model	model	NOUN
ejpam-6012	64	19	.	.	PUNCT
ejpam-6012	65	1	in	in	ADP
ejpam-6012	65	2	section	section	NOUN
ejpam-6012	65	3	4	4	NUM
ejpam-6012	65	4	,	,	PUNCT
ejpam-6012	65	5	we	we	PRON
ejpam-6012	65	6	provide	provide	VERB
ejpam-6012	65	7	a	a	DET
ejpam-6012	65	8	recap	recap	NOUN
ejpam-6012	65	9	of	of	ADP
ejpam-6012	65	10	key	key	ADJ
ejpam-6012	65	11	definitions	definition	NOUN
ejpam-6012	65	12	and	and	CCONJ
ejpam-6012	65	13	theorems	theorem	NOUN
ejpam-6012	65	14	related	relate	VERB
ejpam-6012	65	15	to	to	ADP
ejpam-6012	65	16	conservation	conservation	NOUN
ejpam-6012	65	17	laws	law	NOUN
ejpam-6012	65	18	.	.	PUNCT
ejpam-6012	66	1	we	we	PRON
ejpam-6012	66	2	then	then	ADV
ejpam-6012	66	3	constructed	construct	VERB
ejpam-6012	66	4	conservation	conservation	NOUN
ejpam-6012	66	5	laws	law	NOUN
ejpam-6012	66	6	for	for	ADP
ejpam-6012	66	7	model	model	NOUN
ejpam-6012	66	8	(	(	PUNCT
ejpam-6012	66	9	4	4	X
ejpam-6012	66	10	)	)	PUNCT
ejpam-6012	66	11	using	use	VERB
ejpam-6012	66	12	ibragimov	ibragimov	NOUN
ejpam-6012	66	13	’s	’s	PART
ejpam-6012	66	14	new	new	ADJ
ejpam-6012	66	15	conservation	conservation	NOUN
ejpam-6012	66	16	theorem	theorem	NOUN
ejpam-6012	66	17	.	.	PUNCT
ejpam-6012	67	1	finally	finally	ADV
ejpam-6012	67	2	,	,	PUNCT
ejpam-6012	67	3	section	section	NOUN
ejpam-6012	67	4	5	5	NUM
ejpam-6012	67	5	presents	present	VERB
ejpam-6012	67	6	the	the	DET
ejpam-6012	67	7	concluding	concluding	NOUN
ejpam-6012	67	8	remarks	remark	VERB
ejpam-6012	67	9	.	.	PUNCT
ejpam-6012	68	1	a.	a.	PROPN
ejpam-6012	68	2	hussain	hussain	PROPN
ejpam-6012	68	3	et	et	PROPN
ejpam-6012	68	4	al	al	PROPN
ejpam-6012	68	5	.	.	PUNCT
ejpam-6012	68	6	/	/	SYM
ejpam-6012	68	7	eur	eur	PROPN
ejpam-6012	68	8	.	.	PUNCT
ejpam-6012	69	1	j.	j.	PROPN
ejpam-6012	69	2	pure	pure	PROPN
ejpam-6012	69	3	appl	appl	PROPN
ejpam-6012	69	4	.	.	PROPN
ejpam-6012	69	5	math	math	PROPN
ejpam-6012	69	6	,	,	PUNCT
ejpam-6012	69	7	18	18	NUM
ejpam-6012	69	8	(	(	PUNCT
ejpam-6012	69	9	3	3	NUM
ejpam-6012	69	10	)	)	PUNCT
ejpam-6012	69	11	(	(	PUNCT
ejpam-6012	69	12	2025	2025	NUM
ejpam-6012	69	13	)	)	PUNCT
ejpam-6012	69	14	,	,	PUNCT
ejpam-6012	69	15	6012	6012	NUM
ejpam-6012	69	16	4	4	NUM
ejpam-6012	69	17	of	of	ADP
ejpam-6012	69	18	20	20	NUM
ejpam-6012	69	19	2	2	NUM
ejpam-6012	69	20	.	.	PUNCT
ejpam-6012	69	21	lie	lie	NOUN
ejpam-6012	69	22	group	group	NOUN
ejpam-6012	69	23	method	method	NOUN
ejpam-6012	69	24	for	for	ADP
ejpam-6012	69	25	eq	eq	NOUN
ejpam-6012	69	26	(	(	PUNCT
ejpam-6012	69	27	4	4	NUM
ejpam-6012	69	28	)	)	PUNCT
ejpam-6012	69	29	in	in	ADP
ejpam-6012	69	30	this	this	DET
ejpam-6012	69	31	section	section	NOUN
ejpam-6012	69	32	,	,	PUNCT
ejpam-6012	69	33	an	an	DET
ejpam-6012	69	34	analysis	analysis	NOUN
ejpam-6012	69	35	of	of	ADP
ejpam-6012	69	36	the	the	DET
ejpam-6012	69	37	lie	lie	NOUN
ejpam-6012	69	38	symmetries	symmetry	NOUN
ejpam-6012	69	39	and	and	CCONJ
ejpam-6012	69	40	the	the	DET
ejpam-6012	69	41	optimal	optimal	ADJ
ejpam-6012	69	42	system	system	NOUN
ejpam-6012	69	43	pertaining	pertain	VERB
ejpam-6012	69	44	to	to	ADP
ejpam-6012	69	45	the	the	DET
ejpam-6012	69	46	equation	equation	NOUN
ejpam-6012	69	47	denoted	denote	VERB
ejpam-6012	69	48	by	by	ADP
ejpam-6012	69	49	(	(	PUNCT
ejpam-6012	69	50	4	4	X
ejpam-6012	69	51	)	)	PUNCT
ejpam-6012	69	52	is	be	AUX
ejpam-6012	69	53	conducted	conduct	VERB
ejpam-6012	69	54	.	.	PUNCT
ejpam-6012	70	1	consider	consider	VERB
ejpam-6012	70	2	the	the	DET
ejpam-6012	70	3	one	one	NUM
ejpam-6012	70	4	-	-	PUNCT
ejpam-6012	70	5	parameter	parameter	NOUN
ejpam-6012	70	6	lie	lie	NOUN
ejpam-6012	70	7	group	group	NOUN
ejpam-6012	70	8	of	of	ADP
ejpam-6012	70	9	transformation	transformation	NOUN
ejpam-6012	70	10	x̃→	x̃→	PROPN
ejpam-6012	70	11	x+	x+	PROPN
ejpam-6012	70	12	εϕ1(x	εϕ1(x	PROPN
ejpam-6012	70	13	,	,	PUNCT
ejpam-6012	70	14	y	y	PROPN
ejpam-6012	70	15	,	,	PUNCT
ejpam-6012	70	16	z	z	PROPN
ejpam-6012	70	17	,	,	PUNCT
ejpam-6012	70	18	t	t	PROPN
ejpam-6012	70	19	,	,	PUNCT
ejpam-6012	70	20	u	u	NOUN
ejpam-6012	70	21	)	)	PUNCT
ejpam-6012	70	22	+	+	NOUN
ejpam-6012	70	23	o(ε2	o(ε2	NOUN
ejpam-6012	70	24	)	)	PUNCT
ejpam-6012	70	25	,	,	PUNCT
ejpam-6012	70	26	ỹ	ỹ	PROPN
ejpam-6012	70	27	→	→	SYM
ejpam-6012	70	28	y	y	PROPN
ejpam-6012	70	29	+	+	PROPN
ejpam-6012	70	30	εϕ2(x	εϕ2(x	PROPN
ejpam-6012	70	31	,	,	PUNCT
ejpam-6012	70	32	y	y	PROPN
ejpam-6012	70	33	,	,	PUNCT
ejpam-6012	70	34	z	z	PROPN
ejpam-6012	70	35	,	,	PUNCT
ejpam-6012	70	36	t	t	PROPN
ejpam-6012	70	37	,	,	PUNCT
ejpam-6012	70	38	u	u	NOUN
ejpam-6012	70	39	)	)	PUNCT
ejpam-6012	70	40	+	+	NOUN
ejpam-6012	70	41	o(ε2	o(ε2	NOUN
ejpam-6012	70	42	)	)	PUNCT
ejpam-6012	70	43	,	,	PUNCT
ejpam-6012	70	44	z̃	z̃	PROPN
ejpam-6012	70	45	→	→	SYM
ejpam-6012	70	46	z	z	PROPN
ejpam-6012	70	47	+	+	PROPN
ejpam-6012	70	48	εϕ3(x	εϕ3(x	PROPN
ejpam-6012	70	49	,	,	PUNCT
ejpam-6012	70	50	y	y	PROPN
ejpam-6012	70	51	,	,	PUNCT
ejpam-6012	70	52	z	z	PROPN
ejpam-6012	70	53	,	,	PUNCT
ejpam-6012	70	54	t	t	PROPN
ejpam-6012	70	55	,	,	PUNCT
ejpam-6012	70	56	u	u	NOUN
ejpam-6012	70	57	)	)	PUNCT
ejpam-6012	70	58	+	+	NOUN
ejpam-6012	70	59	o(ε2	o(ε2	NOUN
ejpam-6012	70	60	)	)	PUNCT
ejpam-6012	70	61	,	,	PUNCT
ejpam-6012	71	1	t̃→	t̃→	PROPN
ejpam-6012	71	2	t+	t+	NOUN
ejpam-6012	71	3	εϕ4(x	εϕ4(x	PROPN
ejpam-6012	71	4	,	,	PUNCT
ejpam-6012	71	5	y	y	PROPN
ejpam-6012	71	6	,	,	PUNCT
ejpam-6012	71	7	z	z	PROPN
ejpam-6012	71	8	,	,	PUNCT
ejpam-6012	71	9	t	t	PROPN
ejpam-6012	71	10	,	,	PUNCT
ejpam-6012	71	11	u	u	NOUN
ejpam-6012	71	12	)	)	PUNCT
ejpam-6012	71	13	+	+	NOUN
ejpam-6012	71	14	o(ε2	o(ε2	NOUN
ejpam-6012	71	15	)	)	PUNCT
ejpam-6012	71	16	,	,	PUNCT
ejpam-6012	71	17	ũ→	ũ→	PROPN
ejpam-6012	71	18	u+	u+	NOUN
ejpam-6012	71	19	ες(x	ες(x	PROPN
ejpam-6012	71	20	,	,	PUNCT
ejpam-6012	71	21	y	y	PROPN
ejpam-6012	71	22	,	,	PUNCT
ejpam-6012	71	23	z	z	PROPN
ejpam-6012	71	24	,	,	PUNCT
ejpam-6012	71	25	t	t	PROPN
ejpam-6012	71	26	,	,	PUNCT
ejpam-6012	71	27	u	u	NOUN
ejpam-6012	71	28	)	)	PUNCT
ejpam-6012	71	29	+	+	NOUN
ejpam-6012	71	30	o(ε2	o(ε2	NOUN
ejpam-6012	71	31	)	)	PUNCT
ejpam-6012	71	32	,	,	PUNCT
ejpam-6012	71	33	(	(	PUNCT
ejpam-6012	71	34	5	5	X
ejpam-6012	71	35	)	)	PUNCT
ejpam-6012	71	36	where	where	SCONJ
ejpam-6012	71	37	ε	ε	PROPN
ejpam-6012	71	38	is	be	AUX
ejpam-6012	71	39	the	the	DET
ejpam-6012	71	40	group	group	NOUN
ejpam-6012	71	41	parameter	parameter	NOUN
ejpam-6012	71	42	.	.	PUNCT
ejpam-6012	72	1	for	for	ADP
ejpam-6012	72	2	eq	eq	NOUN
ejpam-6012	72	3	(	(	PUNCT
ejpam-6012	72	4	4	4	NUM
ejpam-6012	72	5	)	)	PUNCT
ejpam-6012	72	6	,	,	PUNCT
ejpam-6012	72	7	the	the	DET
ejpam-6012	72	8	vector	vector	NOUN
ejpam-6012	72	9	field	field	NOUN
ejpam-6012	72	10	is	be	AUX
ejpam-6012	72	11	defined	define	VERB
ejpam-6012	72	12	as	as	ADP
ejpam-6012	72	13	v	v	NOUN
ejpam-6012	72	14	=	=	SYM
ejpam-6012	72	15	ϕ1	ϕ1	NOUN
ejpam-6012	72	16	∂	∂	NOUN
ejpam-6012	72	17	∂x	∂x	NOUN
ejpam-6012	72	18	+	+	CCONJ
ejpam-6012	73	1	ϕ2	ϕ2	ADV
ejpam-6012	73	2	∂	∂	ADV
ejpam-6012	73	3	∂y	∂y	NOUN
ejpam-6012	74	1	+	+	CCONJ
ejpam-6012	74	2	ϕ3	ϕ3	PROPN
ejpam-6012	74	3	∂	∂	X
ejpam-6012	74	4	∂z	∂z	PROPN
ejpam-6012	75	1	+	+	CCONJ
ejpam-6012	75	2	ϕ4	ϕ4	PROPN
ejpam-6012	75	3	∂	∂	NOUN
ejpam-6012	76	1	∂t	∂t	PROPN
ejpam-6012	76	2	+	+	CCONJ
ejpam-6012	76	3	ς	ς	PROPN
ejpam-6012	76	4	∂	∂	NOUN
ejpam-6012	76	5	∂u	∂u	PROPN
ejpam-6012	76	6	·	·	PUNCT
ejpam-6012	76	7	(	(	PUNCT
ejpam-6012	76	8	6	6	X
ejpam-6012	76	9	)	)	PUNCT
ejpam-6012	76	10	the	the	DET
ejpam-6012	76	11	task	task	NOUN
ejpam-6012	76	12	at	at	ADP
ejpam-6012	76	13	hand	hand	NOUN
ejpam-6012	76	14	involves	involve	VERB
ejpam-6012	76	15	determining	determine	VERB
ejpam-6012	76	16	the	the	DET
ejpam-6012	76	17	coefficient	coefficient	NOUN
ejpam-6012	76	18	functions	function	NOUN
ejpam-6012	76	19	ϕ1	ϕ1	NOUN
ejpam-6012	76	20	,	,	PUNCT
ejpam-6012	76	21	ϕ2	ϕ2	ADV
ejpam-6012	76	22	,	,	PUNCT
ejpam-6012	76	23	ϕ3	ϕ3	PROPN
ejpam-6012	76	24	,	,	PUNCT
ejpam-6012	76	25	ϕ4	ϕ4	NOUN
ejpam-6012	76	26	,	,	PUNCT
ejpam-6012	76	27	and	and	CCONJ
ejpam-6012	76	28	ς	ς	NOUN
ejpam-6012	76	29	,	,	PUNCT
ejpam-6012	76	30	such	such	ADJ
ejpam-6012	76	31	that	that	SCONJ
ejpam-6012	76	32	the	the	DET
ejpam-6012	76	33	operator	operator	NOUN
ejpam-6012	76	34	v	v	ADP
ejpam-6012	76	35	satisfies	satisfie	NOUN
ejpam-6012	76	36	the	the	DET
ejpam-6012	76	37	lie	lie	NOUN
ejpam-6012	76	38	symmetry	symmetry	NOUN
ejpam-6012	76	39	condition	condition	NOUN
ejpam-6012	76	40	v	v	ADP
ejpam-6012	76	41	[	[	X
ejpam-6012	76	42	4](uxt	4](uxt	NUM
ejpam-6012	76	43	+	+	CCONJ
ejpam-6012	76	44	uxxxx	uxxxx	ADJ
ejpam-6012	76	45	−	−	PROPN
ejpam-6012	76	46	6u2xuxx	6u2xuxx	NOUN
ejpam-6012	77	1	+	+	CCONJ
ejpam-6012	77	2	3	3	NUM
ejpam-6012	77	3	2	2	NUM
ejpam-6012	77	4	uxxuy	uxxuy	NOUN
ejpam-6012	77	5	+	+	NOUN
ejpam-6012	77	6	3	3	NUM
ejpam-6012	77	7	2	2	NUM
ejpam-6012	77	8	uxuxy	uxuxy	VERB
ejpam-6012	77	9	−	−	PROPN
ejpam-6012	77	10	auzz)|(4	auzz)|(4	NOUN
ejpam-6012	77	11	)	)	PUNCT
ejpam-6012	77	12	=	=	SYM
ejpam-6012	77	13	0	0	NUM
ejpam-6012	77	14	,	,	PUNCT
ejpam-6012	77	15	(	(	PUNCT
ejpam-6012	77	16	7	7	X
ejpam-6012	77	17	)	)	PUNCT
ejpam-6012	77	18	where	where	SCONJ
ejpam-6012	77	19	v	v	ADP
ejpam-6012	77	20	[	[	X
ejpam-6012	77	21	4	4	X
ejpam-6012	77	22	]	]	PUNCT
ejpam-6012	77	23	denotes	denote	VERB
ejpam-6012	77	24	the	the	DET
ejpam-6012	77	25	fourth	fourth	ADJ
ejpam-6012	77	26	prolongation	prolongation	NOUN
ejpam-6012	77	27	of	of	ADP
ejpam-6012	77	28	v	v	NOUN
ejpam-6012	77	29	.	.	PUNCT
ejpam-6012	78	1	solving	solve	VERB
ejpam-6012	78	2	eq	eq	NOUN
ejpam-6012	78	3	(	(	PUNCT
ejpam-6012	78	4	7	7	X
ejpam-6012	78	5	)	)	PUNCT
ejpam-6012	78	6	yields	yield	VERB
ejpam-6012	78	7	the	the	DET
ejpam-6012	78	8	set	set	NOUN
ejpam-6012	78	9	of	of	ADP
ejpam-6012	78	10	determining	determine	VERB
ejpam-6012	78	11	equations	equation	NOUN
ejpam-6012	78	12	,	,	PUNCT
ejpam-6012	78	13	expressed	express	VERB
ejpam-6012	78	14	as	as	ADP
ejpam-6012	78	15	ςzz	ςzz	ADV
ejpam-6012	78	16	−	−	PROPN
ejpam-6012	78	17	2	2	NUM
ejpam-6012	78	18	3a	3a	NUM
ejpam-6012	78	19	ϕ2tt	ϕ2tt	PUNCT
ejpam-6012	79	1	=	=	SYM
ejpam-6012	79	2	0	0	NUM
ejpam-6012	79	3	,	,	PUNCT
ejpam-6012	79	4	ϕ3zt	ϕ3zt	PUNCT
ejpam-6012	80	1	=	=	PUNCT
ejpam-6012	80	2	0	0	NUM
ejpam-6012	80	3	,	,	PUNCT
ejpam-6012	80	4	ϕ3zz	ϕ3zz	PUNCT
ejpam-6012	80	5	=	=	SYM
ejpam-6012	80	6	0	0	NUM
ejpam-6012	80	7	,	,	PUNCT
ejpam-6012	80	8	ςu	ςu	ADV
ejpam-6012	80	9	=	=	SYM
ejpam-6012	80	10	0	0	NUM
ejpam-6012	80	11	,	,	PUNCT
ejpam-6012	80	12	ςx	ςx	PRON
ejpam-6012	80	13	−	−	NOUN
ejpam-6012	80	14	2	2	NUM
ejpam-6012	80	15	3	3	NUM
ejpam-6012	80	16	ϕ2	ϕ2	ADV
ejpam-6012	80	17	t	t	NOUN
ejpam-6012	80	18	=	=	SYM
ejpam-6012	80	19	0	0	NUM
ejpam-6012	80	20	,	,	PUNCT
ejpam-6012	80	21	ςy	ςy	AUX
ejpam-6012	80	22	−	−	PROPN
ejpam-6012	80	23	2	2	NUM
ejpam-6012	80	24	3	3	NUM
ejpam-6012	80	25	ϕ1	ϕ1	NOUN
ejpam-6012	80	26	t	t	NOUN
ejpam-6012	80	27	=	=	SYM
ejpam-6012	80	28	0	0	NUM
ejpam-6012	80	29	,	,	PUNCT
ejpam-6012	80	30	ϕ4y	ϕ4y	PUNCT
ejpam-6012	80	31	=	=	SYM
ejpam-6012	80	32	0	0	PROPN
ejpam-6012	80	33	,	,	PUNCT
ejpam-6012	80	34	ϕ4	ϕ4	PROPN
ejpam-6012	80	35	t	t	PROPN
ejpam-6012	80	36	−	−	NUM
ejpam-6012	80	37	3	3	NUM
ejpam-6012	80	38	2	2	NUM
ejpam-6012	80	39	ϕ3z	ϕ3z	NOUN
ejpam-6012	80	40	=	=	SYM
ejpam-6012	80	41	0	0	NUM
ejpam-6012	80	42	,	,	PUNCT
ejpam-6012	80	43	ϕ4u	ϕ4u	NOUN
ejpam-6012	80	44	=	=	SYM
ejpam-6012	80	45	0	0	NUM
ejpam-6012	80	46	,	,	PUNCT
ejpam-6012	80	47	ϕ4x	ϕ4x	PROPN
ejpam-6012	81	1	=	=	SYM
ejpam-6012	81	2	0	0	PROPN
ejpam-6012	81	3	,	,	PUNCT
ejpam-6012	81	4	ϕ4z	ϕ4z	NOUN
ejpam-6012	81	5	=	=	SYM
ejpam-6012	81	6	0	0	NUM
ejpam-6012	81	7	,	,	PUNCT
ejpam-6012	81	8	ϕ1u	ϕ1u	PUNCT
ejpam-6012	82	1	=	=	SYM
ejpam-6012	82	2	0	0	NUM
ejpam-6012	82	3	,	,	PUNCT
ejpam-6012	82	4	ϕ1x	ϕ1x	VERB
ejpam-6012	83	1	−	−	PROPN
ejpam-6012	83	2	ϕ3z	ϕ3z	NOUN
ejpam-6012	83	3	2	2	NUM
ejpam-6012	83	4	=	=	SYM
ejpam-6012	83	5	0	0	NUM
ejpam-6012	83	6	,	,	PUNCT
ejpam-6012	83	7	ϕ1y	ϕ1y	NOUN
ejpam-6012	83	8	+	+	NOUN
ejpam-6012	83	9	8	8	NUM
ejpam-6012	83	10	3	3	NUM
ejpam-6012	83	11	ϕ2	ϕ2	NOUN
ejpam-6012	83	12	t	t	NOUN
ejpam-6012	83	13	=	=	SYM
ejpam-6012	83	14	0	0	NUM
ejpam-6012	83	15	,	,	PUNCT
ejpam-6012	83	16	ϕ1z	ϕ1z	PROPN
ejpam-6012	83	17	−	−	PROPN
ejpam-6012	84	1	ϕ3	ϕ3	PROPN
ejpam-6012	84	2	t	t	PROPN
ejpam-6012	84	3	2a	2a	NUM
ejpam-6012	84	4	=	=	SYM
ejpam-6012	84	5	0	0	NUM
ejpam-6012	84	6	,	,	PUNCT
ejpam-6012	84	7	ϕ2u	ϕ2u	X
ejpam-6012	84	8	=	=	SYM
ejpam-6012	84	9	0	0	PROPN
ejpam-6012	84	10	,	,	PUNCT
ejpam-6012	84	11	ϕ2x	ϕ2x	PUNCT
ejpam-6012	84	12	=	=	SYM
ejpam-6012	84	13	0	0	NUM
ejpam-6012	84	14	,	,	PUNCT
ejpam-6012	84	15	ϕ2y	ϕ2y	PROPN
ejpam-6012	84	16	−	−	PROPN
ejpam-6012	85	1	ϕ3z	ϕ3z	PROPN
ejpam-6012	85	2	=	=	SYM
ejpam-6012	85	3	0	0	PROPN
ejpam-6012	85	4	,	,	PUNCT
ejpam-6012	85	5	ϕ2z	ϕ2z	PROPN
ejpam-6012	86	1	=	=	PUNCT
ejpam-6012	86	2	0	0	NUM
ejpam-6012	86	3	,	,	PUNCT
ejpam-6012	86	4	ϕ3u	ϕ3u	NOUN
ejpam-6012	86	5	=	=	SYM
ejpam-6012	86	6	0	0	PROPN
ejpam-6012	86	7	,	,	PUNCT
ejpam-6012	86	8	ϕ3x	ϕ3x	PROPN
ejpam-6012	86	9	=	=	SYM
ejpam-6012	86	10	0	0	PROPN
ejpam-6012	86	11	,	,	PUNCT
ejpam-6012	86	12	ϕ3y	ϕ3y	PROPN
ejpam-6012	86	13	=	=	NOUN
ejpam-6012	86	14	0	0	X
ejpam-6012	86	15	.	.	PUNCT
ejpam-6012	87	1	(	(	PUNCT
ejpam-6012	87	2	8)	8)	NUM
ejpam-6012	87	3	solution	solution	NOUN
ejpam-6012	87	4	of	of	ADP
ejpam-6012	87	5	system	system	NOUN
ejpam-6012	87	6	(	(	PUNCT
ejpam-6012	87	7	8)	8)	NUM
ejpam-6012	87	8	gives	give	VERB
ejpam-6012	87	9	infinitesimals	infinitesimal	NOUN
ejpam-6012	87	10	given	give	VERB
ejpam-6012	87	11	as	as	ADP
ejpam-6012	87	12	ϕ1	ϕ1	NOUN
ejpam-6012	87	13	=	=	SYM
ejpam-6012	87	14	c1	c1	PROPN
ejpam-6012	87	15	3	3	NUM
ejpam-6012	87	16	x−	x−	PROPN
ejpam-6012	87	17	8	8	NUM
ejpam-6012	87	18	3	3	NUM
ejpam-6012	87	19	f1ty	f1ty	NUM
ejpam-6012	87	20	+	+	NUM
ejpam-6012	87	21	f2tz	f2tz	NOUN
ejpam-6012	87	22	2α	2α	NOUN
ejpam-6012	87	23	+	+	CCONJ
ejpam-6012	87	24	3	3	NUM
ejpam-6012	87	25	2	2	NUM
ejpam-6012	87	26	f5	f5	NOUN
ejpam-6012	87	27	+	+	CCONJ
ejpam-6012	87	28	c3	c3	NOUN
ejpam-6012	87	29	,	,	PUNCT
ejpam-6012	87	30	ϕ2	ϕ2	ADV
ejpam-6012	87	31	=	=	SYM
ejpam-6012	87	32	2	2	NUM
ejpam-6012	87	33	3	3	NUM
ejpam-6012	87	34	c1y	c1y	NOUN
ejpam-6012	87	35	+	+	CCONJ
ejpam-6012	87	36	f1	f1	NOUN
ejpam-6012	87	37	,	,	PUNCT
ejpam-6012	87	38	ϕ3	ϕ3	PROPN
ejpam-6012	87	39	=	=	SYM
ejpam-6012	87	40	2	2	NUM
ejpam-6012	87	41	3	3	NUM
ejpam-6012	87	42	c1z	c1z	PROPN
ejpam-6012	87	43	+	+	CCONJ
ejpam-6012	87	44	f2	f2	ADJ
ejpam-6012	87	45	,	,	PUNCT
ejpam-6012	87	46	ϕ4	ϕ4	NOUN
ejpam-6012	87	47	=	=	PUNCT
ejpam-6012	87	48	c1t+	c1t+	PROPN
ejpam-6012	87	49	c2	c2	PROPN
ejpam-6012	87	50	,	,	PUNCT
ejpam-6012	87	51	ς	ς	PROPN
ejpam-6012	87	52	=	=	SYM
ejpam-6012	87	53	1	1	NUM
ejpam-6012	87	54	9α	9α	NOUN
ejpam-6012	87	55	(	(	PUNCT
ejpam-6012	87	56	(	(	PUNCT
ejpam-6012	87	57	−8αy2	−8αy2	NOUN
ejpam-6012	87	58	+	+	CCONJ
ejpam-6012	87	59	3z2)f1tt	3z2)f1tt	NUM
ejpam-6012	87	60	+	+	CCONJ
ejpam-6012	87	61	3yzf2tt	3yzf2tt	ADJ
ejpam-6012	88	1	+	+	CCONJ
ejpam-6012	88	2	9α	9α	NUM
ejpam-6012	88	3	(	(	PUNCT
ejpam-6012	88	4	2	2	NUM
ejpam-6012	88	5	3	3	NUM
ejpam-6012	88	6	f1tx+	f1tx+	PROPN
ejpam-6012	88	7	f5ty	f5ty	PUNCT
ejpam-6012	88	8	+	+	CCONJ
ejpam-6012	88	9	f6z	f6z	PROPN
ejpam-6012	88	10	+	+	CCONJ
ejpam-6012	88	11	f7	f7	PROPN
ejpam-6012	88	12	)	)	PUNCT
ejpam-6012	88	13	)	)	PUNCT
ejpam-6012	88	14	.	.	PUNCT
ejpam-6012	89	1	(	(	PUNCT
ejpam-6012	89	2	9	9	X
ejpam-6012	89	3	)	)	PUNCT
ejpam-6012	89	4	a.	a.	NOUN
ejpam-6012	89	5	hussain	hussain	PROPN
ejpam-6012	89	6	et	et	PROPN
ejpam-6012	89	7	al	al	PROPN
ejpam-6012	89	8	.	.	PUNCT
ejpam-6012	89	9	/	/	SYM
ejpam-6012	89	10	eur	eur	PROPN
ejpam-6012	89	11	.	.	PUNCT
ejpam-6012	90	1	j.	j.	PROPN
ejpam-6012	90	2	pure	pure	PROPN
ejpam-6012	90	3	appl	appl	PROPN
ejpam-6012	90	4	.	.	PROPN
ejpam-6012	90	5	math	math	PROPN
ejpam-6012	90	6	,	,	PUNCT
ejpam-6012	90	7	18	18	NUM
ejpam-6012	90	8	(	(	PUNCT
ejpam-6012	90	9	3	3	NUM
ejpam-6012	90	10	)	)	PUNCT
ejpam-6012	90	11	(	(	PUNCT
ejpam-6012	90	12	2025	2025	NUM
ejpam-6012	90	13	)	)	PUNCT
ejpam-6012	90	14	,	,	PUNCT
ejpam-6012	90	15	6012	6012	NUM
ejpam-6012	90	16	5	5	NUM
ejpam-6012	90	17	of	of	ADP
ejpam-6012	90	18	20	20	NUM
ejpam-6012	90	19	by	by	ADP
ejpam-6012	90	20	assuming	assume	VERB
ejpam-6012	90	21	f2	f2	PROPN
ejpam-6012	90	22	=	=	SYM
ejpam-6012	90	23	c4	c4	NOUN
ejpam-6012	90	24	,	,	PUNCT
ejpam-6012	90	25	f6	f6	PROPN
ejpam-6012	90	26	=	=	SYM
ejpam-6012	90	27	c5	c5	PROPN
ejpam-6012	90	28	,	,	PUNCT
ejpam-6012	90	29	f7	f7	PROPN
ejpam-6012	90	30	=	=	PROPN
ejpam-6012	90	31	c6	c6	PROPN
ejpam-6012	90	32	and	and	CCONJ
ejpam-6012	90	33	f1	f1	NOUN
ejpam-6012	90	34	=	=	SYM
ejpam-6012	90	35	f5	f5	PROPN
ejpam-6012	90	36	=	=	SYM
ejpam-6012	90	37	0	0	NUM
ejpam-6012	90	38	,	,	PUNCT
ejpam-6012	90	39	we	we	PRON
ejpam-6012	90	40	obtain	obtain	VERB
ejpam-6012	90	41	the	the	DET
ejpam-6012	90	42	following	follow	VERB
ejpam-6012	90	43	symmetry	symmetry	NOUN
ejpam-6012	90	44	generators	generator	NOUN
ejpam-6012	90	45	v1	v1	NOUN
ejpam-6012	90	46	=	=	SYM
ejpam-6012	90	47	∂	∂	NOUN
ejpam-6012	90	48	∂x	∂x	PROPN
ejpam-6012	90	49	,	,	PUNCT
ejpam-6012	90	50	v2	v2	PROPN
ejpam-6012	90	51	=	=	SYM
ejpam-6012	90	52	∂	∂	NUM
ejpam-6012	90	53	∂z	∂z	PROPN
ejpam-6012	90	54	,	,	PUNCT
ejpam-6012	90	55	v3	v3	PROPN
ejpam-6012	90	56	=	=	SYM
ejpam-6012	90	57	∂	∂	NUM
ejpam-6012	90	58	∂t	∂t	PROPN
ejpam-6012	90	59	,	,	PUNCT
ejpam-6012	90	60	v4	v4	PROPN
ejpam-6012	90	61	=	=	SYM
ejpam-6012	90	62	∂	∂	NUM
ejpam-6012	90	63	∂u	∂u	PROPN
ejpam-6012	90	64	,	,	PUNCT
ejpam-6012	90	65	v5	v5	PROPN
ejpam-6012	90	66	=	=	SYM
ejpam-6012	90	67	z	z	PROPN
ejpam-6012	90	68	∂	∂	NUM
ejpam-6012	90	69	∂u	∂u	PROPN
ejpam-6012	90	70	,	,	PUNCT
ejpam-6012	91	1	v6	v6	NOUN
ejpam-6012	91	2	=	=	PUNCT
ejpam-6012	92	1	x	x	SYM
ejpam-6012	92	2	3	3	NUM
ejpam-6012	92	3	∂	∂	NUM
ejpam-6012	92	4	∂x	∂x	PROPN
ejpam-6012	93	1	+	+	CCONJ
ejpam-6012	93	2	2y	2y	PROPN
ejpam-6012	93	3	3	3	NUM
ejpam-6012	93	4	∂	∂	NUM
ejpam-6012	93	5	∂y	∂y	NOUN
ejpam-6012	94	1	+	+	CCONJ
ejpam-6012	94	2	2z	2z	NUM
ejpam-6012	94	3	3	3	NUM
ejpam-6012	94	4	∂	∂	NUM
ejpam-6012	94	5	∂z	∂z	PROPN
ejpam-6012	94	6	+	+	PROPN
ejpam-6012	94	7	t	t	PROPN
ejpam-6012	94	8	∂	∂	NOUN
ejpam-6012	94	9	∂t	∂t	PROPN
ejpam-6012	94	10	·	·	PUNCT
ejpam-6012	94	11	(	(	PUNCT
ejpam-6012	94	12	10	10	NUM
ejpam-6012	94	13	)	)	PUNCT
ejpam-6012	94	14	the	the	DET
ejpam-6012	94	15	commutator	commutator	NOUN
ejpam-6012	94	16	relation	relation	NOUN
ejpam-6012	94	17	for	for	ADP
ejpam-6012	94	18	the	the	DET
ejpam-6012	94	19	symmetry	symmetry	NOUN
ejpam-6012	94	20	algebra	algebra	NOUN
ejpam-6012	94	21	(	(	PUNCT
ejpam-6012	94	22	10	10	NUM
ejpam-6012	94	23	)	)	PUNCT
ejpam-6012	94	24	is	be	AUX
ejpam-6012	94	25	defined	define	VERB
ejpam-6012	94	26	as	as	ADP
ejpam-6012	94	27	[	[	X
ejpam-6012	94	28	vi	vi	X
ejpam-6012	94	29	,	,	PUNCT
ejpam-6012	94	30	vi	vi	NOUN
ejpam-6012	94	31	]	]	X
ejpam-6012	94	32	=	=	SYM
ejpam-6012	94	33	vivj	vivj	NOUN
ejpam-6012	94	34	−	−	PROPN
ejpam-6012	94	35	vjvi	vjvi	NOUN
ejpam-6012	94	36	,	,	PUNCT
ejpam-6012	94	37	(	(	PUNCT
ejpam-6012	94	38	11	11	NUM
ejpam-6012	94	39	)	)	PUNCT
ejpam-6012	94	40	where	where	SCONJ
ejpam-6012	94	41	[	[	X
ejpam-6012	94	42	vi	vi	NOUN
ejpam-6012	94	43	,	,	PUNCT
ejpam-6012	94	44	vj	vj	INTJ
ejpam-6012	94	45	]	]	PUNCT
ejpam-6012	94	46	denotes	denote	VERB
ejpam-6012	94	47	the	the	DET
ejpam-6012	94	48	lie	lie	NOUN
ejpam-6012	94	49	product	product	NOUN
ejpam-6012	94	50	.	.	PUNCT
ejpam-6012	95	1	the	the	DET
ejpam-6012	95	2	commutator	commutator	NOUN
ejpam-6012	95	3	relation	relation	NOUN
ejpam-6012	95	4	for	for	ADP
ejpam-6012	95	5	symmetry	symmetry	NOUN
ejpam-6012	95	6	algebra	algebra	NOUN
ejpam-6012	95	7	(	(	PUNCT
ejpam-6012	95	8	10	10	NUM
ejpam-6012	95	9	)	)	PUNCT
ejpam-6012	95	10	is	be	AUX
ejpam-6012	95	11	given	give	VERB
ejpam-6012	95	12	in	in	ADP
ejpam-6012	95	13	table	table	NOUN
ejpam-6012	95	14	1	1	NUM
ejpam-6012	95	15	.	.	PUNCT
ejpam-6012	95	16	table	table	NOUN
ejpam-6012	95	17	1	1	NUM
ejpam-6012	95	18	:	:	PUNCT
ejpam-6012	95	19	commutator	commutator	NOUN
ejpam-6012	95	20	table	table	NOUN
ejpam-6012	95	21	.	.	PUNCT
ejpam-6012	96	1	[	[	X
ejpam-6012	96	2	vi	vi	X
ejpam-6012	96	3	,	,	PUNCT
ejpam-6012	96	4	vj	vj	INTJ
ejpam-6012	96	5	]	]	PUNCT
ejpam-6012	96	6	v1	v1	PROPN
ejpam-6012	96	7	v2	v2	PROPN
ejpam-6012	96	8	v3	v3	PROPN
ejpam-6012	96	9	v4	v4	PROPN
ejpam-6012	96	10	v5	v5	PROPN
ejpam-6012	96	11	v6	v6	NOUN
ejpam-6012	96	12	v1	v1	PROPN
ejpam-6012	96	13	0	0	NUM
ejpam-6012	96	14	0	0	NUM
ejpam-6012	96	15	0	0	NUM
ejpam-6012	96	16	0	0	NUM
ejpam-6012	96	17	0	0	NUM
ejpam-6012	96	18	1	1	NUM
ejpam-6012	96	19	3v1	3v1	NUM
ejpam-6012	96	20	v2	v2	NOUN
ejpam-6012	96	21	0	0	NUM
ejpam-6012	96	22	0	0	NUM
ejpam-6012	96	23	0	0	NUM
ejpam-6012	96	24	0	0	NUM
ejpam-6012	96	25	v4	v4	NOUN
ejpam-6012	96	26	2	2	NUM
ejpam-6012	96	27	3v2	3v2	NUM
ejpam-6012	96	28	v3	v3	PROPN
ejpam-6012	96	29	0	0	NUM
ejpam-6012	96	30	0	0	NUM
ejpam-6012	96	31	0	0	NUM
ejpam-6012	96	32	0	0	NUM
ejpam-6012	96	33	0	0	NUM
ejpam-6012	96	34	v3	v3	PROPN
ejpam-6012	96	35	v4	v4	PROPN
ejpam-6012	96	36	0	0	NUM
ejpam-6012	96	37	0	0	NUM
ejpam-6012	96	38	0	0	NUM
ejpam-6012	96	39	0	0	NUM
ejpam-6012	96	40	0	0	NUM
ejpam-6012	96	41	0	0	NUM
ejpam-6012	97	1	v5	v5	PROPN
ejpam-6012	97	2	0	0	NUM
ejpam-6012	98	1	−v4	−v4	NOUN
ejpam-6012	98	2	0	0	NUM
ejpam-6012	98	3	0	0	NUM
ejpam-6012	98	4	0	0	NUM
ejpam-6012	98	5	−2	−2	NOUN
ejpam-6012	98	6	3v5	3v5	NUM
ejpam-6012	98	7	v6	v6	NOUN
ejpam-6012	98	8	−1	−1	NOUN
ejpam-6012	98	9	3v1	3v1	NUM
ejpam-6012	98	10	−2	−2	NOUN
ejpam-6012	98	11	3v2	3v2	NUM
ejpam-6012	98	12	−v3	−v3	NOUN
ejpam-6012	98	13	0	0	NUM
ejpam-6012	98	14	2	2	NUM
ejpam-6012	98	15	3v5	3v5	NUM
ejpam-6012	98	16	0	0	NUM
ejpam-6012	98	17	theorem	theorem	NOUN
ejpam-6012	98	18	1	1	NUM
ejpam-6012	98	19	.	.	PUNCT
ejpam-6012	99	1	the	the	DET
ejpam-6012	99	2	vector	vector	PROPN
ejpam-6012	99	3	fields	field	NOUN
ejpam-6012	99	4	vi	vi	PROPN
ejpam-6012	99	5	(	(	PUNCT
ejpam-6012	99	6	i	i	NOUN
ejpam-6012	99	7	=	=	NOUN
ejpam-6012	99	8	1	1	NUM
ejpam-6012	99	9	,	,	PUNCT
ejpam-6012	99	10	2	2	NUM
ejpam-6012	99	11	,	,	PUNCT
ejpam-6012	99	12	·	·	PUNCT
ejpam-6012	99	13	·	·	PUNCT
ejpam-6012	99	14	·	·	PUNCT
ejpam-6012	99	15	,	,	PUNCT
ejpam-6012	99	16	6	6	NUM
ejpam-6012	99	17	)	)	PUNCT
ejpam-6012	99	18	for	for	ADP
ejpam-6012	99	19	(	(	PUNCT
ejpam-6012	99	20	4	4	X
ejpam-6012	99	21	)	)	PUNCT
ejpam-6012	99	22	constitute	constitute	VERB
ejpam-6012	99	23	six	six	NUM
ejpam-6012	99	24	-	-	PUNCT
ejpam-6012	99	25	dimensional	dimensional	ADJ
ejpam-6012	99	26	lie	lie	NOUN
ejpam-6012	99	27	algebra	algebra	NOUN
ejpam-6012	99	28	.	.	PUNCT
ejpam-6012	100	1	proof	proof	NOUN
ejpam-6012	100	2	.	.	PUNCT
ejpam-6012	101	1	as	as	SCONJ
ejpam-6012	101	2	indicated	indicate	VERB
ejpam-6012	101	3	in	in	ADP
ejpam-6012	101	4	table	table	NOUN
ejpam-6012	101	5	1	1	NUM
ejpam-6012	101	6	,	,	PUNCT
ejpam-6012	101	7	an	an	DET
ejpam-6012	101	8	antisymmetrical	antisymmetrical	ADJ
ejpam-6012	101	9	pattern	pattern	NOUN
ejpam-6012	101	10	is	be	AUX
ejpam-6012	101	11	noticeable	noticeable	ADJ
ejpam-6012	101	12	,	,	PUNCT
ejpam-6012	101	13	and	and	CCONJ
ejpam-6012	101	14	zero	zero	NUM
ejpam-6012	101	15	diagonal	diagonal	ADJ
ejpam-6012	101	16	elements	element	NOUN
ejpam-6012	101	17	are	be	AUX
ejpam-6012	101	18	evident	evident	ADJ
ejpam-6012	101	19	.	.	PUNCT
ejpam-6012	102	1	the	the	DET
ejpam-6012	102	2	determination	determination	NOUN
ejpam-6012	102	3	of	of	ADP
ejpam-6012	102	4	the	the	DET
ejpam-6012	102	5	structure	structure	NOUN
ejpam-6012	102	6	constants	constant	NOUN
ejpam-6012	102	7	is	be	AUX
ejpam-6012	102	8	easily	easily	ADV
ejpam-6012	102	9	accomplished	accomplish	VERB
ejpam-6012	102	10	by	by	ADP
ejpam-6012	102	11	examining	examine	VERB
ejpam-6012	102	12	the	the	DET
ejpam-6012	102	13	commutator	commutator	NOUN
ejpam-6012	102	14	table	table	NOUN
ejpam-6012	102	15	,	,	PUNCT
ejpam-6012	102	16	and	and	CCONJ
ejpam-6012	102	17	jacobi	jacobi	PROPN
ejpam-6012	102	18	identity	identity	NOUN
ejpam-6012	102	19	verification	verification	NOUN
ejpam-6012	102	20	is	be	AUX
ejpam-6012	102	21	straightforward	straightforward	ADJ
ejpam-6012	102	22	.	.	PUNCT
ejpam-6012	103	1	lie	lie	NOUN
ejpam-6012	103	2	group	group	NOUN
ejpam-6012	103	3	transformations	transformation	NOUN
ejpam-6012	103	4	associated	associate	VERB
ejpam-6012	103	5	with	with	ADP
ejpam-6012	103	6	the	the	DET
ejpam-6012	103	7	symmetry	symmetry	NOUN
ejpam-6012	103	8	generators	generator	NOUN
ejpam-6012	103	9	(	(	PUNCT
ejpam-6012	103	10	10	10	NUM
ejpam-6012	103	11	)	)	PUNCT
ejpam-6012	103	12	are	be	AUX
ejpam-6012	103	13	written	write	VERB
ejpam-6012	103	14	as	as	ADP
ejpam-6012	103	15	s1	s1	PROPN
ejpam-6012	103	16	:	:	PUNCT
ejpam-6012	103	17	(	(	PUNCT
ejpam-6012	103	18	x̃	x̃	PROPN
ejpam-6012	103	19	,	,	PUNCT
ejpam-6012	103	20	ỹ	ỹ	PROPN
ejpam-6012	103	21	,	,	PUNCT
ejpam-6012	103	22	z̃	z̃	PROPN
ejpam-6012	103	23	,	,	PUNCT
ejpam-6012	103	24	t̃	t̃	PROPN
ejpam-6012	103	25	,	,	PUNCT
ejpam-6012	103	26	ũ	ũ	PROPN
ejpam-6012	103	27	)	)	PUNCT
ejpam-6012	103	28	→	→	SYM
ejpam-6012	103	29	(	(	PUNCT
ejpam-6012	103	30	x+	x+	X
ejpam-6012	103	31	ε	ε	PROPN
ejpam-6012	103	32	,	,	PUNCT
ejpam-6012	103	33	y	y	PROPN
ejpam-6012	103	34	,	,	PUNCT
ejpam-6012	103	35	z	z	PROPN
ejpam-6012	103	36	,	,	PUNCT
ejpam-6012	103	37	t	t	PROPN
ejpam-6012	103	38	,	,	PUNCT
ejpam-6012	103	39	u	u	NOUN
ejpam-6012	103	40	)	)	PUNCT
ejpam-6012	103	41	,	,	PUNCT
ejpam-6012	103	42	s2	s2	NOUN
ejpam-6012	103	43	:	:	PUNCT
ejpam-6012	103	44	(	(	PUNCT
ejpam-6012	103	45	x̃	x̃	PROPN
ejpam-6012	103	46	,	,	PUNCT
ejpam-6012	103	47	ỹ	ỹ	PROPN
ejpam-6012	103	48	,	,	PUNCT
ejpam-6012	103	49	z̃	z̃	PROPN
ejpam-6012	103	50	,	,	PUNCT
ejpam-6012	103	51	t̃	t̃	PROPN
ejpam-6012	103	52	,	,	PUNCT
ejpam-6012	103	53	ũ	ũ	PROPN
ejpam-6012	103	54	)	)	PUNCT
ejpam-6012	103	55	→	→	SYM
ejpam-6012	103	56	(	(	PUNCT
ejpam-6012	103	57	x	x	X
ejpam-6012	103	58	,	,	PUNCT
ejpam-6012	103	59	y	y	PROPN
ejpam-6012	103	60	,	,	PUNCT
ejpam-6012	103	61	z	z	PROPN
ejpam-6012	103	62	+	+	NUM
ejpam-6012	103	63	ε	ε	PROPN
ejpam-6012	103	64	,	,	PUNCT
ejpam-6012	103	65	t	t	PROPN
ejpam-6012	103	66	,	,	PUNCT
ejpam-6012	103	67	u	u	NOUN
ejpam-6012	103	68	)	)	PUNCT
ejpam-6012	103	69	,	,	PUNCT
ejpam-6012	103	70	s3	s3	PROPN
ejpam-6012	103	71	:	:	PUNCT
ejpam-6012	103	72	(	(	PUNCT
ejpam-6012	103	73	x̃	x̃	PROPN
ejpam-6012	103	74	,	,	PUNCT
ejpam-6012	103	75	ỹ	ỹ	PROPN
ejpam-6012	103	76	,	,	PUNCT
ejpam-6012	103	77	z̃	z̃	PROPN
ejpam-6012	103	78	,	,	PUNCT
ejpam-6012	103	79	t̃	t̃	PROPN
ejpam-6012	103	80	,	,	PUNCT
ejpam-6012	103	81	ũ	ũ	PROPN
ejpam-6012	103	82	)	)	PUNCT
ejpam-6012	103	83	→	→	SYM
ejpam-6012	103	84	(	(	PUNCT
ejpam-6012	103	85	x	x	X
ejpam-6012	103	86	,	,	PUNCT
ejpam-6012	103	87	y	y	PROPN
ejpam-6012	103	88	,	,	PUNCT
ejpam-6012	103	89	z	z	PROPN
ejpam-6012	103	90	,	,	PUNCT
ejpam-6012	103	91	t+	t+	VERB
ejpam-6012	103	92	ε	ε	PROPN
ejpam-6012	103	93	,	,	PUNCT
ejpam-6012	103	94	u	u	NOUN
ejpam-6012	103	95	)	)	PUNCT
ejpam-6012	103	96	,	,	PUNCT
ejpam-6012	103	97	s4	s4	PROPN
ejpam-6012	103	98	:	:	PUNCT
ejpam-6012	103	99	(	(	PUNCT
ejpam-6012	103	100	x̃	x̃	PROPN
ejpam-6012	103	101	,	,	PUNCT
ejpam-6012	103	102	ỹ	ỹ	PROPN
ejpam-6012	103	103	,	,	PUNCT
ejpam-6012	103	104	z̃	z̃	PROPN
ejpam-6012	103	105	,	,	PUNCT
ejpam-6012	103	106	t̃	t̃	PROPN
ejpam-6012	103	107	,	,	PUNCT
ejpam-6012	103	108	ũ	ũ	PROPN
ejpam-6012	103	109	)	)	PUNCT
ejpam-6012	103	110	→	→	SYM
ejpam-6012	103	111	(	(	PUNCT
ejpam-6012	103	112	x	x	X
ejpam-6012	103	113	,	,	PUNCT
ejpam-6012	103	114	y	y	PROPN
ejpam-6012	103	115	,	,	PUNCT
ejpam-6012	103	116	z	z	PROPN
ejpam-6012	103	117	,	,	PUNCT
ejpam-6012	103	118	t	t	PROPN
ejpam-6012	103	119	,	,	PUNCT
ejpam-6012	103	120	ε+	ε+	NOUN
ejpam-6012	103	121	u	u	NOUN
ejpam-6012	103	122	)	)	PUNCT
ejpam-6012	103	123	,	,	PUNCT
ejpam-6012	103	124	s5	s5	PROPN
ejpam-6012	103	125	:	:	PUNCT
ejpam-6012	103	126	(	(	PUNCT
ejpam-6012	103	127	x̃	x̃	PROPN
ejpam-6012	103	128	,	,	PUNCT
ejpam-6012	103	129	ỹ	ỹ	PROPN
ejpam-6012	103	130	,	,	PUNCT
ejpam-6012	103	131	z̃	z̃	PROPN
ejpam-6012	103	132	,	,	PUNCT
ejpam-6012	103	133	t̃	t̃	PROPN
ejpam-6012	103	134	,	,	PUNCT
ejpam-6012	103	135	ũ	ũ	PROPN
ejpam-6012	103	136	)	)	PUNCT
ejpam-6012	103	137	→	→	SYM
ejpam-6012	103	138	(	(	PUNCT
ejpam-6012	103	139	x	x	X
ejpam-6012	103	140	,	,	PUNCT
ejpam-6012	103	141	y	y	PROPN
ejpam-6012	103	142	,	,	PUNCT
ejpam-6012	103	143	z	z	PROPN
ejpam-6012	103	144	,	,	PUNCT
ejpam-6012	103	145	t	t	PROPN
ejpam-6012	103	146	,	,	PUNCT
ejpam-6012	103	147	εz	εz	ADP
ejpam-6012	103	148	+	+	CCONJ
ejpam-6012	103	149	u	u	NOUN
ejpam-6012	103	150	)	)	PUNCT
ejpam-6012	103	151	,	,	PUNCT
ejpam-6012	103	152	s6	s6	PROPN
ejpam-6012	103	153	:	:	PUNCT
ejpam-6012	103	154	(	(	PUNCT
ejpam-6012	103	155	x̃	x̃	PROPN
ejpam-6012	103	156	,	,	PUNCT
ejpam-6012	103	157	ỹ	ỹ	PROPN
ejpam-6012	103	158	,	,	PUNCT
ejpam-6012	103	159	z̃	z̃	PROPN
ejpam-6012	103	160	,	,	PUNCT
ejpam-6012	103	161	t̃	t̃	PROPN
ejpam-6012	103	162	,	,	PUNCT
ejpam-6012	103	163	ũ	ũ	PROPN
ejpam-6012	103	164	)	)	PUNCT
ejpam-6012	103	165	→	→	PUNCT
ejpam-6012	103	166	(	(	PUNCT
ejpam-6012	103	167	e	e	X
ejpam-6012	103	168	ε	ε	PROPN
ejpam-6012	103	169	3x	3x	NUM
ejpam-6012	103	170	,	,	PUNCT
ejpam-6012	103	171	e	e	PROPN
ejpam-6012	103	172	2ε	2ε	NOUN
ejpam-6012	103	173	3	3	NUM
ejpam-6012	103	174	y	y	PROPN
ejpam-6012	103	175	,	,	PUNCT
ejpam-6012	103	176	e	e	X
ejpam-6012	103	177	2ε	2ε	NOUN
ejpam-6012	103	178	3	3	NUM
ejpam-6012	103	179	z	z	PROPN
ejpam-6012	103	180	,	,	PUNCT
ejpam-6012	103	181	eϵt	eϵt	PROPN
ejpam-6012	103	182	,	,	PUNCT
ejpam-6012	103	183	u	u	NOUN
ejpam-6012	103	184	)	)	PUNCT
ejpam-6012	103	185	.	.	PUNCT
ejpam-6012	104	1	3	3	X
ejpam-6012	104	2	.	.	X
ejpam-6012	104	3	group	group	NOUN
ejpam-6012	104	4	-	-	PUNCT
ejpam-6012	104	5	invariant	invariant	ADJ
ejpam-6012	104	6	solutions	solution	NOUN
ejpam-6012	104	7	case	case	NOUN
ejpam-6012	104	8	1	1	NUM
ejpam-6012	104	9	:	:	PUNCT
ejpam-6012	104	10	v3	v3	PROPN
ejpam-6012	104	11	+	+	CCONJ
ejpam-6012	104	12	v4	v4	PROPN
ejpam-6012	104	13	=	=	SYM
ejpam-6012	104	14	∂	∂	NOUN
ejpam-6012	105	1	∂t	∂t	PROPN
ejpam-6012	105	2	+	+	CCONJ
ejpam-6012	105	3	∂	∂	NUM
ejpam-6012	105	4	∂u	∂u	PROPN
ejpam-6012	105	5	.	.	PUNCT
ejpam-6012	106	1	in	in	ADP
ejpam-6012	106	2	the	the	DET
ejpam-6012	106	3	case	case	NOUN
ejpam-6012	106	4	of	of	ADP
ejpam-6012	106	5	the	the	DET
ejpam-6012	106	6	symmetry	symmetry	NOUN
ejpam-6012	106	7	generator	generator	PROPN
ejpam-6012	106	8	v3	v3	PROPN
ejpam-6012	106	9	+	+	CCONJ
ejpam-6012	106	10	v4	v4	PROPN
ejpam-6012	106	11	,	,	PUNCT
ejpam-6012	106	12	the	the	DET
ejpam-6012	106	13	lagrange	lagrange	NOUN
ejpam-6012	106	14	equation	equation	NOUN
ejpam-6012	106	15	can	can	AUX
ejpam-6012	106	16	be	be	AUX
ejpam-6012	106	17	expressed	express	VERB
ejpam-6012	106	18	a.	a.	NOUN
ejpam-6012	106	19	hussain	hussain	PROPN
ejpam-6012	106	20	et	et	PROPN
ejpam-6012	106	21	al	al	PROPN
ejpam-6012	106	22	.	.	PUNCT
ejpam-6012	106	23	/	/	SYM
ejpam-6012	106	24	eur	eur	PROPN
ejpam-6012	106	25	.	.	PUNCT
ejpam-6012	107	1	j.	j.	PROPN
ejpam-6012	107	2	pure	pure	PROPN
ejpam-6012	107	3	appl	appl	PROPN
ejpam-6012	107	4	.	.	PROPN
ejpam-6012	107	5	math	math	PROPN
ejpam-6012	107	6	,	,	PUNCT
ejpam-6012	107	7	18	18	NUM
ejpam-6012	107	8	(	(	PUNCT
ejpam-6012	107	9	3	3	NUM
ejpam-6012	107	10	)	)	PUNCT
ejpam-6012	107	11	(	(	PUNCT
ejpam-6012	107	12	2025	2025	NUM
ejpam-6012	107	13	)	)	PUNCT
ejpam-6012	107	14	,	,	PUNCT
ejpam-6012	107	15	6012	6012	NUM
ejpam-6012	107	16	6	6	NUM
ejpam-6012	107	17	of	of	ADP
ejpam-6012	107	18	20	20	NUM
ejpam-6012	107	19	as	as	SCONJ
ejpam-6012	107	20	shown	show	VERB
ejpam-6012	107	21	below	below	ADV
ejpam-6012	107	22	,	,	PUNCT
ejpam-6012	107	23	du	du	PROPN
ejpam-6012	107	24	1	1	NUM
ejpam-6012	107	25	=	=	SYM
ejpam-6012	107	26	dx	dx	PROPN
ejpam-6012	107	27	0	0	PUNCT
ejpam-6012	108	1	=	=	PUNCT
ejpam-6012	108	2	dy	dy	NOUN
ejpam-6012	108	3	0	0	PUNCT
ejpam-6012	109	1	=	=	SYM
ejpam-6012	109	2	dz	dz	X
ejpam-6012	109	3	0	0	PUNCT
ejpam-6012	110	1	=	=	SYM
ejpam-6012	110	2	dt	dt	X
ejpam-6012	110	3	1	1	NUM
ejpam-6012	110	4	,	,	PUNCT
ejpam-6012	110	5	and	and	CCONJ
ejpam-6012	110	6	produces	produce	VERB
ejpam-6012	110	7	a	a	DET
ejpam-6012	110	8	similarity	similarity	NOUN
ejpam-6012	110	9	transformation	transformation	NOUN
ejpam-6012	110	10	,	,	PUNCT
ejpam-6012	110	11	u(x	u(x	PROPN
ejpam-6012	110	12	,	,	PUNCT
ejpam-6012	110	13	y	y	PROPN
ejpam-6012	110	14	,	,	PUNCT
ejpam-6012	110	15	z	z	PROPN
ejpam-6012	110	16	,	,	PUNCT
ejpam-6012	110	17	t	t	PROPN
ejpam-6012	110	18	)	)	PUNCT
ejpam-6012	111	1	=	=	SYM
ejpam-6012	111	2	t	t	PROPN
ejpam-6012	111	3	+	+	CCONJ
ejpam-6012	111	4	ϑ(α	ϑ(α	PROPN
ejpam-6012	111	5	,	,	PUNCT
ejpam-6012	111	6	β	β	X
ejpam-6012	111	7	,	,	PUNCT
ejpam-6012	111	8	γ	γ	PROPN
ejpam-6012	111	9	)	)	PUNCT
ejpam-6012	111	10	,	,	PUNCT
ejpam-6012	111	11	α	α	X
ejpam-6012	111	12	=	=	SYM
ejpam-6012	111	13	x	x	PROPN
ejpam-6012	111	14	,	,	PUNCT
ejpam-6012	111	15	β	β	X
ejpam-6012	111	16	=	=	SYM
ejpam-6012	111	17	y	y	PROPN
ejpam-6012	111	18	,	,	PUNCT
ejpam-6012	111	19	γ	γ	X
ejpam-6012	111	20	=	=	SYM
ejpam-6012	111	21	z.	z.	PROPN
ejpam-6012	111	22	through	through	ADP
ejpam-6012	111	23	the	the	DET
ejpam-6012	111	24	application	application	NOUN
ejpam-6012	111	25	of	of	ADP
ejpam-6012	111	26	this	this	DET
ejpam-6012	111	27	transformation	transformation	NOUN
ejpam-6012	111	28	,	,	PUNCT
ejpam-6012	111	29	we	we	PRON
ejpam-6012	111	30	continue	continue	VERB
ejpam-6012	111	31	with	with	ADP
ejpam-6012	111	32	equation	equation	NOUN
ejpam-6012	111	33	(	(	PUNCT
ejpam-6012	111	34	4	4	NUM
ejpam-6012	111	35	)	)	PUNCT
ejpam-6012	111	36	in	in	ADP
ejpam-6012	111	37	its	its	PRON
ejpam-6012	111	38	reduced	reduce	VERB
ejpam-6012	111	39	form	form	NOUN
ejpam-6012	111	40	as	as	SCONJ
ejpam-6012	111	41	shown	show	VERB
ejpam-6012	111	42	below	below	ADP
ejpam-6012	111	43	,	,	PUNCT
ejpam-6012	111	44	2ϑαααα	2ϑαααα	NUM
ejpam-6012	111	45	+	+	CCONJ
ejpam-6012	111	46	3	3	NUM
ejpam-6012	111	47	(	(	PUNCT
ejpam-6012	111	48	−4ϑ2α	−4ϑ2α	VERB
ejpam-6012	111	49	+	+	CCONJ
ejpam-6012	111	50	ϑβ	ϑβ	X
ejpam-6012	111	51	)	)	PUNCT
ejpam-6012	111	52	ϑαα	ϑαα	NOUN
ejpam-6012	112	1	−	−	PROPN
ejpam-6012	112	2	2aϑγγ	2aϑγγ	NUM
ejpam-6012	113	1	+	+	PROPN
ejpam-6012	113	2	3ϑαϑαβ	3ϑαϑαβ	NUM
ejpam-6012	113	3	=	=	SYM
ejpam-6012	113	4	0	0	NUM
ejpam-6012	113	5	,	,	PUNCT
ejpam-6012	113	6	(	(	PUNCT
ejpam-6012	113	7	12	12	NUM
ejpam-6012	113	8	)	)	PUNCT
ejpam-6012	113	9	the	the	DET
ejpam-6012	113	10	application	application	NOUN
ejpam-6012	113	11	of	of	ADP
ejpam-6012	113	12	the	the	DET
ejpam-6012	113	13	lie	lie	NOUN
ejpam-6012	113	14	symmetry	symmetry	NOUN
ejpam-6012	113	15	method	method	NOUN
ejpam-6012	113	16	to	to	ADP
ejpam-6012	113	17	this	this	PRON
ejpam-6012	113	18	(	(	PUNCT
ejpam-6012	113	19	2	2	NUM
ejpam-6012	113	20	+	+	NOUN
ejpam-6012	113	21	1	1	NUM
ejpam-6012	113	22	)	)	PUNCT
ejpam-6012	113	23	dimensional	dimensional	ADJ
ejpam-6012	113	24	pde	pde	NOUN
ejpam-6012	113	25	unveils	unveil	VERB
ejpam-6012	113	26	additional	additional	ADJ
ejpam-6012	113	27	infinitesimals	infinitesimal	NOUN
ejpam-6012	113	28	ϕα	ϕα	ADV
ejpam-6012	113	29	=	=	SYM
ejpam-6012	113	30	c3α	c3α	X
ejpam-6012	114	1	2	2	NUM
ejpam-6012	114	2	+	+	X
ejpam-6012	114	3	c6	c6	PROPN
ejpam-6012	114	4	,	,	PUNCT
ejpam-6012	114	5	ϕβ	ϕβ	ADP
ejpam-6012	114	6	=	=	PUNCT
ejpam-6012	114	7	c3β	c3β	PROPN
ejpam-6012	114	8	+	+	CCONJ
ejpam-6012	114	9	c5	c5	PROPN
ejpam-6012	114	10	,	,	PUNCT
ejpam-6012	114	11	ϕγ	ϕγ	ADP
ejpam-6012	114	12	=	=	PUNCT
ejpam-6012	114	13	c3γ	c3γ	PROPN
ejpam-6012	114	14	+	+	NUM
ejpam-6012	114	15	c4	c4	NOUN
ejpam-6012	114	16	,	,	PUNCT
ejpam-6012	114	17	ςϑ	ςϑ	NOUN
ejpam-6012	114	18	=	=	PUNCT
ejpam-6012	114	19	c1γ	c1γ	PROPN
ejpam-6012	114	20	+	+	PROPN
ejpam-6012	114	21	c2	c2	PROPN
ejpam-6012	114	22	.	.	PUNCT
ejpam-6012	115	1	(	(	PUNCT
ejpam-6012	115	2	13	13	NUM
ejpam-6012	115	3	)	)	PUNCT
ejpam-6012	115	4	case	case	NOUN
ejpam-6012	115	5	1.1	1.1	NUM
ejpam-6012	115	6	:	:	PUNCT
ejpam-6012	115	7	for	for	ADP
ejpam-6012	115	8	c2	c2	PROPN
ejpam-6012	115	9	=	=	SYM
ejpam-6012	115	10	c5	c5	PROPN
ejpam-6012	115	11	=	=	SYM
ejpam-6012	115	12	1	1	NUM
ejpam-6012	115	13	,	,	PUNCT
ejpam-6012	115	14	the	the	DET
ejpam-6012	115	15	symmetry	symmetry	NOUN
ejpam-6012	115	16	generator	generator	PROPN
ejpam-6012	115	17	∂	∂	NOUN
ejpam-6012	115	18	∂β	∂β	PROPN
ejpam-6012	115	19	+	+	CCONJ
ejpam-6012	115	20	∂	∂	NUM
ejpam-6012	115	21	∂ϑ	∂ϑ	PROPN
ejpam-6012	115	22	leads	lead	VERB
ejpam-6012	115	23	to	to	ADP
ejpam-6012	115	24	characteristic	characteristic	ADJ
ejpam-6012	115	25	form	form	NOUN
ejpam-6012	115	26	dϑ	dϑ	NOUN
ejpam-6012	115	27	1	1	NUM
ejpam-6012	115	28	=	=	NOUN
ejpam-6012	115	29	dα	dα	ADP
ejpam-6012	115	30	0	0	NUM
ejpam-6012	116	1	=	=	SYM
ejpam-6012	117	1	dβ	dβ	ADP
ejpam-6012	117	2	1	1	NUM
ejpam-6012	117	3	=	=	SYM
ejpam-6012	117	4	dγ	dγ	NOUN
ejpam-6012	117	5	0	0	NUM
ejpam-6012	117	6	,	,	PUNCT
ejpam-6012	117	7	which	which	PRON
ejpam-6012	117	8	gives	give	VERB
ejpam-6012	117	9	rise	rise	NOUN
ejpam-6012	117	10	to	to	ADP
ejpam-6012	117	11	similarity	similarity	NOUN
ejpam-6012	117	12	variables	variable	NOUN
ejpam-6012	117	13	ϑ(α	ϑ(α	PROPN
ejpam-6012	117	14	,	,	PUNCT
ejpam-6012	117	15	β	β	X
ejpam-6012	117	16	,	,	PUNCT
ejpam-6012	117	17	γ	γ	NOUN
ejpam-6012	117	18	)	)	PUNCT
ejpam-6012	117	19	=	=	PUNCT
ejpam-6012	117	20	β	β	NOUN
ejpam-6012	117	21	+	+	CCONJ
ejpam-6012	117	22	p(k	p(k	NOUN
ejpam-6012	117	23	,	,	PUNCT
ejpam-6012	117	24	τ	τ	X
ejpam-6012	117	25	)	)	PUNCT
ejpam-6012	117	26	,	,	PUNCT
ejpam-6012	117	27	where	where	SCONJ
ejpam-6012	117	28	k	k	PROPN
ejpam-6012	117	29	=	=	SYM
ejpam-6012	117	30	α	α	PROPN
ejpam-6012	117	31	,	,	PUNCT
ejpam-6012	117	32	τ	τ	PROPN
ejpam-6012	117	33	=	=	SYM
ejpam-6012	117	34	γ	γ	X
ejpam-6012	117	35	.	.	PUNCT
ejpam-6012	117	36	applying	apply	VERB
ejpam-6012	117	37	these	these	DET
ejpam-6012	117	38	invariants	invariant	NOUN
ejpam-6012	117	39	,	,	PUNCT
ejpam-6012	117	40	eq	eq	X
ejpam-6012	117	41	(	(	PUNCT
ejpam-6012	117	42	12	12	NUM
ejpam-6012	117	43	)	)	PUNCT
ejpam-6012	117	44	transforms	transform	VERB
ejpam-6012	117	45	into	into	ADP
ejpam-6012	117	46	the	the	DET
ejpam-6012	117	47	following	follow	VERB
ejpam-6012	117	48	(	(	PUNCT
ejpam-6012	117	49	1	1	NUM
ejpam-6012	117	50	+	+	NOUN
ejpam-6012	117	51	1	1	NUM
ejpam-6012	117	52	)	)	PUNCT
ejpam-6012	117	53	pde	pde	NOUN
ejpam-6012	118	1	2pkkkk	2pkkkk	NUM
ejpam-6012	118	2	−	−	PROPN
ejpam-6012	119	1	12pkkp	12pkkp	NUM
ejpam-6012	119	2	2	2	NUM
ejpam-6012	120	1	k	k	NOUN
ejpam-6012	120	2	+	+	PROPN
ejpam-6012	120	3	3pkk	3pkk	NUM
ejpam-6012	120	4	−	−	PROPN
ejpam-6012	120	5	2apττ	2apττ	NUM
ejpam-6012	120	6	=	=	SYM
ejpam-6012	120	7	0	0	PROPN
ejpam-6012	120	8	.	.	PUNCT
ejpam-6012	121	1	(	(	PUNCT
ejpam-6012	121	2	14	14	NUM
ejpam-6012	121	3	)	)	PUNCT
ejpam-6012	121	4	the	the	DET
ejpam-6012	121	5	application	application	NOUN
ejpam-6012	121	6	of	of	ADP
ejpam-6012	121	7	the	the	DET
ejpam-6012	121	8	lie	lie	NOUN
ejpam-6012	121	9	symmetry	symmetry	NOUN
ejpam-6012	121	10	method	method	NOUN
ejpam-6012	121	11	to	to	ADP
ejpam-6012	121	12	this	this	PRON
ejpam-6012	121	13	(	(	PUNCT
ejpam-6012	121	14	1	1	NUM
ejpam-6012	121	15	+	+	NOUN
ejpam-6012	121	16	1	1	NUM
ejpam-6012	121	17	)	)	PUNCT
ejpam-6012	121	18	dimensional	dimensional	ADJ
ejpam-6012	121	19	pde	pde	NOUN
ejpam-6012	121	20	unveils	unveil	VERB
ejpam-6012	121	21	additional	additional	ADJ
ejpam-6012	121	22	infinitesimals	infinitesimal	NOUN
ejpam-6012	121	23	ϕk	ϕk	NOUN
ejpam-6012	121	24	=	=	SYM
ejpam-6012	121	25	c3	c3	PROPN
ejpam-6012	121	26	,	,	PUNCT
ejpam-6012	121	27	ϕτ	ϕτ	ADP
ejpam-6012	121	28	=	=	NOUN
ejpam-6012	121	29	c4	c4	NOUN
ejpam-6012	121	30	,	,	PUNCT
ejpam-6012	121	31	ςp	ςp	NOUN
ejpam-6012	121	32	=	=	PUNCT
ejpam-6012	121	33	c1τ	c1τ	PROPN
ejpam-6012	121	34	+	+	CCONJ
ejpam-6012	121	35	c2	c2	PROPN
ejpam-6012	121	36	.	.	PUNCT
ejpam-6012	122	1	(	(	PUNCT
ejpam-6012	122	2	15	15	NUM
ejpam-6012	122	3	)	)	PUNCT
ejpam-6012	122	4	case	case	NOUN
ejpam-6012	122	5	1.1.1	1.1.1	NOUN
ejpam-6012	122	6	:	:	PUNCT
ejpam-6012	122	7	for	for	ADP
ejpam-6012	122	8	c3	c3	NOUN
ejpam-6012	122	9	=	=	SYM
ejpam-6012	122	10	1	1	NUM
ejpam-6012	122	11	,	,	PUNCT
ejpam-6012	122	12	the	the	DET
ejpam-6012	122	13	symmetry	symmetry	NOUN
ejpam-6012	122	14	generator	generator	PROPN
ejpam-6012	122	15	∂	∂	ADV
ejpam-6012	122	16	∂k	∂k	PRON
ejpam-6012	122	17	leads	lead	VERB
ejpam-6012	122	18	to	to	ADP
ejpam-6012	122	19	characteristic	characteristic	ADJ
ejpam-6012	122	20	form	form	NOUN
ejpam-6012	122	21	dp	dp	NOUN
ejpam-6012	122	22	0	0	NUM
ejpam-6012	123	1	=	=	SYM
ejpam-6012	123	2	dk	dk	PRON
ejpam-6012	123	3	1	1	NUM
ejpam-6012	123	4	=	=	SYM
ejpam-6012	123	5	dτ	dτ	NOUN
ejpam-6012	123	6	0	0	NUM
ejpam-6012	123	7	,	,	PUNCT
ejpam-6012	123	8	which	which	PRON
ejpam-6012	123	9	gives	give	VERB
ejpam-6012	123	10	rise	rise	NOUN
ejpam-6012	123	11	to	to	ADP
ejpam-6012	123	12	invariant	invariant	ADJ
ejpam-6012	123	13	variables	variable	NOUN
ejpam-6012	123	14	p(k	p(k	NOUN
ejpam-6012	123	15	,	,	PUNCT
ejpam-6012	123	16	τ	τ	X
ejpam-6012	123	17	)	)	PUNCT
ejpam-6012	123	18	=	=	SYM
ejpam-6012	123	19	h(s	h(s	PROPN
ejpam-6012	123	20	)	)	PUNCT
ejpam-6012	123	21	,	,	PUNCT
ejpam-6012	123	22	where	where	SCONJ
ejpam-6012	123	23	s	s	VERB
ejpam-6012	123	24	=	=	SYM
ejpam-6012	123	25	τ	τ	X
ejpam-6012	123	26	.	.	PUNCT
ejpam-6012	124	1	applying	apply	VERB
ejpam-6012	124	2	these	these	DET
ejpam-6012	124	3	invariants	invariant	NOUN
ejpam-6012	124	4	,	,	PUNCT
ejpam-6012	124	5	eq	eq	X
ejpam-6012	124	6	(	(	PUNCT
ejpam-6012	124	7	14	14	NUM
ejpam-6012	124	8	)	)	PUNCT
ejpam-6012	124	9	transforms	transform	VERB
ejpam-6012	124	10	into	into	ADP
ejpam-6012	124	11	the	the	DET
ejpam-6012	124	12	following	follow	VERB
ejpam-6012	124	13	ode	ode	ADJ
ejpam-6012	124	14	−2ah′′	−2ah′′	NOUN
ejpam-6012	124	15	=	=	NOUN
ejpam-6012	124	16	0	0	NUM
ejpam-6012	124	17	with	with	ADP
ejpam-6012	124	18	solution	solution	NOUN
ejpam-6012	124	19	h(s	h(	NOUN
ejpam-6012	124	20	)	)	PUNCT
ejpam-6012	125	1	=	=	SYM
ejpam-6012	125	2	c1s+	c1s+	PROPN
ejpam-6012	125	3	c2	c2	PROPN
ejpam-6012	125	4	,	,	PUNCT
ejpam-6012	125	5	(	(	PUNCT
ejpam-6012	125	6	16	16	NUM
ejpam-6012	125	7	)	)	PUNCT
ejpam-6012	125	8	this	this	PRON
ejpam-6012	125	9	gives	give	VERB
ejpam-6012	125	10	,	,	PUNCT
ejpam-6012	125	11	p(k	p(k	NOUN
ejpam-6012	125	12	,	,	PUNCT
ejpam-6012	125	13	τ	τ	X
ejpam-6012	125	14	)	)	PUNCT
ejpam-6012	125	15	=	=	PUNCT
ejpam-6012	125	16	c1τ	c1τ	PROPN
ejpam-6012	125	17	+	+	CCONJ
ejpam-6012	125	18	c2	c2	PROPN
ejpam-6012	125	19	,	,	PUNCT
ejpam-6012	125	20	(	(	PUNCT
ejpam-6012	125	21	17	17	NUM
ejpam-6012	125	22	)	)	PUNCT
ejpam-6012	125	23	a.	a.	NOUN
ejpam-6012	125	24	hussain	hussain	PROPN
ejpam-6012	125	25	et	et	PROPN
ejpam-6012	125	26	al	al	PROPN
ejpam-6012	125	27	.	.	PUNCT
ejpam-6012	125	28	/	/	SYM
ejpam-6012	125	29	eur	eur	PROPN
ejpam-6012	125	30	.	.	PUNCT
ejpam-6012	126	1	j.	j.	PROPN
ejpam-6012	126	2	pure	pure	PROPN
ejpam-6012	126	3	appl	appl	PROPN
ejpam-6012	126	4	.	.	PROPN
ejpam-6012	126	5	math	math	PROPN
ejpam-6012	126	6	,	,	PUNCT
ejpam-6012	126	7	18	18	NUM
ejpam-6012	126	8	(	(	PUNCT
ejpam-6012	126	9	3	3	NUM
ejpam-6012	126	10	)	)	PUNCT
ejpam-6012	126	11	(	(	PUNCT
ejpam-6012	126	12	2025	2025	NUM
ejpam-6012	126	13	)	)	PUNCT
ejpam-6012	126	14	,	,	PUNCT
ejpam-6012	126	15	6012	6012	NUM
ejpam-6012	126	16	7	7	NUM
ejpam-6012	126	17	of	of	ADP
ejpam-6012	126	18	20	20	NUM
ejpam-6012	126	19	which	which	PRON
ejpam-6012	126	20	yields	yield	NOUN
ejpam-6012	126	21	,	,	PUNCT
ejpam-6012	126	22	ϑ(α	ϑ(α	PROPN
ejpam-6012	126	23	,	,	PUNCT
ejpam-6012	126	24	β	β	X
ejpam-6012	126	25	,	,	PUNCT
ejpam-6012	126	26	γ	γ	NOUN
ejpam-6012	126	27	)	)	PUNCT
ejpam-6012	126	28	=	=	PUNCT
ejpam-6012	126	29	c1γ	c1γ	PROPN
ejpam-6012	126	30	+	+	CCONJ
ejpam-6012	126	31	c2	c2	PROPN
ejpam-6012	126	32	+	+	CCONJ
ejpam-6012	126	33	β	β	X
ejpam-6012	126	34	.	.	PUNCT
ejpam-6012	127	1	(	(	PUNCT
ejpam-6012	127	2	18	18	NUM
ejpam-6012	127	3	)	)	PUNCT
ejpam-6012	127	4	as	as	ADP
ejpam-6012	127	5	a	a	DET
ejpam-6012	127	6	outcome	outcome	NOUN
ejpam-6012	127	7	,	,	PUNCT
ejpam-6012	127	8	the	the	DET
ejpam-6012	127	9	invariant	invariant	ADJ
ejpam-6012	127	10	solution	solution	NOUN
ejpam-6012	127	11	for	for	ADP
ejpam-6012	127	12	the	the	DET
ejpam-6012	127	13	(	(	PUNCT
ejpam-6012	127	14	3	3	NUM
ejpam-6012	127	15	+	+	NOUN
ejpam-6012	127	16	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	127	17	model	model	NOUN
ejpam-6012	127	18	(	(	PUNCT
ejpam-6012	127	19	4	4	NUM
ejpam-6012	127	20	)	)	PUNCT
ejpam-6012	127	21	is	be	AUX
ejpam-6012	127	22	formulated	formulate	VERB
ejpam-6012	127	23	as	as	SCONJ
ejpam-6012	127	24	follows	follow	VERB
ejpam-6012	127	25	u(x	u(x	NOUN
ejpam-6012	127	26	,	,	PUNCT
ejpam-6012	127	27	y	y	PROPN
ejpam-6012	127	28	,	,	PUNCT
ejpam-6012	127	29	z	z	PROPN
ejpam-6012	127	30	,	,	PUNCT
ejpam-6012	127	31	t	t	PROPN
ejpam-6012	127	32	)	)	PUNCT
ejpam-6012	127	33	=	=	PUNCT
ejpam-6012	128	1	c1z	c1z	PROPN
ejpam-6012	129	1	+	+	NUM
ejpam-6012	129	2	c2	c2	PROPN
ejpam-6012	129	3	+	+	CCONJ
ejpam-6012	129	4	y	y	PROPN
ejpam-6012	129	5	+	+	PROPN
ejpam-6012	129	6	t	t	PROPN
ejpam-6012	129	7	,	,	PUNCT
ejpam-6012	129	8	(	(	PUNCT
ejpam-6012	129	9	19	19	NUM
ejpam-6012	129	10	)	)	PUNCT
ejpam-6012	129	11	where	where	SCONJ
ejpam-6012	129	12	c1	c1	PROPN
ejpam-6012	129	13	,	,	PUNCT
ejpam-6012	129	14	c2	c2	PROPN
ejpam-6012	129	15	are	be	AUX
ejpam-6012	129	16	constants	constant	NOUN
ejpam-6012	129	17	.	.	PUNCT
ejpam-6012	130	1	case	case	NOUN
ejpam-6012	130	2	2	2	NUM
ejpam-6012	130	3	:	:	PUNCT
ejpam-6012	130	4	v2	v2	PROPN
ejpam-6012	130	5	+	+	CCONJ
ejpam-6012	130	6	v3	v3	PROPN
ejpam-6012	130	7	+	+	CCONJ
ejpam-6012	130	8	v4	v4	PROPN
ejpam-6012	130	9	=	=	SYM
ejpam-6012	130	10	∂	∂	NUM
ejpam-6012	130	11	∂z	∂z	PROPN
ejpam-6012	130	12	+	+	CCONJ
ejpam-6012	130	13	∂	∂	X
ejpam-6012	130	14	∂t	∂t	PROPN
ejpam-6012	130	15	+	+	CCONJ
ejpam-6012	130	16	∂	∂	NUM
ejpam-6012	130	17	∂u	∂u	PROPN
ejpam-6012	130	18	·	·	PUNCT
ejpam-6012	130	19	in	in	ADP
ejpam-6012	130	20	the	the	DET
ejpam-6012	130	21	case	case	NOUN
ejpam-6012	130	22	of	of	ADP
ejpam-6012	130	23	the	the	DET
ejpam-6012	130	24	symmetry	symmetry	NOUN
ejpam-6012	130	25	generator	generator	PROPN
ejpam-6012	130	26	v2+v3+v4	v2+v3+v4	PROPN
ejpam-6012	130	27	,	,	PUNCT
ejpam-6012	130	28	the	the	DET
ejpam-6012	130	29	lagrange	lagrange	NOUN
ejpam-6012	130	30	equation	equation	NOUN
ejpam-6012	130	31	can	can	AUX
ejpam-6012	130	32	be	be	AUX
ejpam-6012	130	33	expressed	express	VERB
ejpam-6012	130	34	as	as	ADP
ejpam-6012	130	35	shown	show	VERB
ejpam-6012	130	36	below	below	ADV
ejpam-6012	130	37	,	,	PUNCT
ejpam-6012	130	38	du	du	PROPN
ejpam-6012	130	39	1	1	NUM
ejpam-6012	130	40	=	=	SYM
ejpam-6012	130	41	dx	dx	PROPN
ejpam-6012	130	42	0	0	PUNCT
ejpam-6012	131	1	=	=	PUNCT
ejpam-6012	131	2	dy	dy	NOUN
ejpam-6012	131	3	0	0	NUM
ejpam-6012	132	1	=	=	SYM
ejpam-6012	132	2	dz	dz	PRON
ejpam-6012	132	3	1	1	NUM
ejpam-6012	132	4	=	=	SYM
ejpam-6012	132	5	dt	dt	NOUN
ejpam-6012	132	6	1	1	NUM
ejpam-6012	132	7	,	,	PUNCT
ejpam-6012	132	8	and	and	CCONJ
ejpam-6012	132	9	produces	produce	VERB
ejpam-6012	132	10	a	a	DET
ejpam-6012	132	11	similarity	similarity	NOUN
ejpam-6012	132	12	transformation	transformation	NOUN
ejpam-6012	132	13	,	,	PUNCT
ejpam-6012	132	14	u(x	u(x	PROPN
ejpam-6012	132	15	,	,	PUNCT
ejpam-6012	132	16	y	y	PROPN
ejpam-6012	132	17	,	,	PUNCT
ejpam-6012	132	18	z	z	PROPN
ejpam-6012	132	19	,	,	PUNCT
ejpam-6012	132	20	t	t	PROPN
ejpam-6012	132	21	)	)	PUNCT
ejpam-6012	132	22	=	=	SYM
ejpam-6012	133	1	z	z	X
ejpam-6012	133	2	+	+	PUNCT
ejpam-6012	133	3	ϑ(α	ϑ(α	PROPN
ejpam-6012	133	4	,	,	PUNCT
ejpam-6012	133	5	β	β	X
ejpam-6012	133	6	,	,	PUNCT
ejpam-6012	133	7	γ	γ	PROPN
ejpam-6012	133	8	)	)	PUNCT
ejpam-6012	133	9	,	,	PUNCT
ejpam-6012	133	10	α	α	X
ejpam-6012	133	11	=	=	SYM
ejpam-6012	133	12	x	x	PROPN
ejpam-6012	133	13	,	,	PUNCT
ejpam-6012	133	14	β	β	X
ejpam-6012	133	15	=	=	SYM
ejpam-6012	133	16	y	y	PROPN
ejpam-6012	133	17	,	,	PUNCT
ejpam-6012	133	18	γ	γ	NOUN
ejpam-6012	133	19	=	=	SYM
ejpam-6012	133	20	−z	−z	PROPN
ejpam-6012	133	21	+	+	CCONJ
ejpam-6012	133	22	t.	t.	NOUN
ejpam-6012	133	23	through	through	ADP
ejpam-6012	133	24	the	the	DET
ejpam-6012	133	25	application	application	NOUN
ejpam-6012	133	26	of	of	ADP
ejpam-6012	133	27	this	this	DET
ejpam-6012	133	28	transformation	transformation	NOUN
ejpam-6012	133	29	,	,	PUNCT
ejpam-6012	133	30	we	we	PRON
ejpam-6012	133	31	continue	continue	VERB
ejpam-6012	133	32	with	with	ADP
ejpam-6012	133	33	equation	equation	NOUN
ejpam-6012	133	34	(	(	PUNCT
ejpam-6012	133	35	4	4	NUM
ejpam-6012	133	36	)	)	PUNCT
ejpam-6012	133	37	in	in	ADP
ejpam-6012	133	38	its	its	PRON
ejpam-6012	133	39	reduced	reduce	VERB
ejpam-6012	133	40	form	form	NOUN
ejpam-6012	133	41	as	as	SCONJ
ejpam-6012	133	42	shown	show	VERB
ejpam-6012	133	43	below	below	ADP
ejpam-6012	133	44	,	,	PUNCT
ejpam-6012	133	45	2ϑαααα	2ϑαααα	NUM
ejpam-6012	133	46	+	+	CCONJ
ejpam-6012	133	47	3	3	NUM
ejpam-6012	133	48	(	(	PUNCT
ejpam-6012	133	49	−4ϑ2α	−4ϑ2α	VERB
ejpam-6012	133	50	+	+	CCONJ
ejpam-6012	133	51	ϑβ	ϑβ	X
ejpam-6012	133	52	)	)	PUNCT
ejpam-6012	133	53	ϑαα	ϑαα	NOUN
ejpam-6012	134	1	−	−	PROPN
ejpam-6012	134	2	2aϑγγ	2aϑγγ	NUM
ejpam-6012	135	1	+	+	PROPN
ejpam-6012	135	2	3ϑαϑαβ	3ϑαϑαβ	NUM
ejpam-6012	135	3	+	+	CCONJ
ejpam-6012	135	4	2ϑαγ	2ϑαγ	NUM
ejpam-6012	135	5	=	=	SYM
ejpam-6012	135	6	0	0	PROPN
ejpam-6012	135	7	.	.	PUNCT
ejpam-6012	136	1	(	(	PUNCT
ejpam-6012	136	2	20	20	NUM
ejpam-6012	136	3	)	)	PUNCT
ejpam-6012	136	4	the	the	DET
ejpam-6012	136	5	application	application	NOUN
ejpam-6012	136	6	of	of	ADP
ejpam-6012	136	7	the	the	DET
ejpam-6012	136	8	lie	lie	NOUN
ejpam-6012	136	9	symmetry	symmetry	NOUN
ejpam-6012	136	10	method	method	NOUN
ejpam-6012	136	11	to	to	ADP
ejpam-6012	136	12	this	this	PRON
ejpam-6012	136	13	(	(	PUNCT
ejpam-6012	136	14	2	2	NUM
ejpam-6012	136	15	+	+	NOUN
ejpam-6012	136	16	1	1	NUM
ejpam-6012	136	17	)	)	PUNCT
ejpam-6012	136	18	dimensional	dimensional	ADJ
ejpam-6012	136	19	pde	pde	NOUN
ejpam-6012	136	20	unveils	unveil	VERB
ejpam-6012	136	21	additional	additional	ADJ
ejpam-6012	136	22	infinitesimals	infinitesimal	NOUN
ejpam-6012	136	23	ϕα	ϕα	ADV
ejpam-6012	136	24	=	=	VERB
ejpam-6012	136	25	c1α	c1α	NOUN
ejpam-6012	136	26	2	2	NUM
ejpam-6012	136	27	−	−	PROPN
ejpam-6012	136	28	c1γ	c1γ	PROPN
ejpam-6012	136	29	4a	4a	NOUN
ejpam-6012	136	30	+	+	CCONJ
ejpam-6012	136	31	c6	c6	PROPN
ejpam-6012	136	32	,	,	PUNCT
ejpam-6012	136	33	ϕβ	ϕβ	PROPN
ejpam-6012	136	34	=	=	SYM
ejpam-6012	136	35	c1β	c1β	PROPN
ejpam-6012	136	36	+	+	CCONJ
ejpam-6012	136	37	c2	c2	PROPN
ejpam-6012	136	38	,	,	PUNCT
ejpam-6012	136	39	ϕγ	ϕγ	ADP
ejpam-6012	136	40	=	=	PUNCT
ejpam-6012	136	41	c1γ	c1γ	PROPN
ejpam-6012	136	42	+	+	CCONJ
ejpam-6012	136	43	c5	c5	PROPN
ejpam-6012	136	44	,	,	PUNCT
ejpam-6012	136	45	ςϑ	ςϑ	NOUN
ejpam-6012	136	46	=	=	SYM
ejpam-6012	136	47	−c1β	−c1β	NUM
ejpam-6012	136	48	6a	6a	NOUN
ejpam-6012	136	49	+	+	CCONJ
ejpam-6012	136	50	c3γ	c3γ	NOUN
ejpam-6012	136	51	+	+	NUM
ejpam-6012	136	52	c4	c4	NOUN
ejpam-6012	136	53	.	.	PUNCT
ejpam-6012	137	1	(	(	PUNCT
ejpam-6012	137	2	21	21	NUM
ejpam-6012	137	3	)	)	PUNCT
ejpam-6012	137	4	case	case	NOUN
ejpam-6012	137	5	2.1	2.1	NUM
ejpam-6012	137	6	:	:	PUNCT
ejpam-6012	137	7	for	for	ADP
ejpam-6012	137	8	c2	c2	PROPN
ejpam-6012	137	9	=	=	SYM
ejpam-6012	137	10	c3	c3	PROPN
ejpam-6012	137	11	=	=	SYM
ejpam-6012	137	12	1	1	NUM
ejpam-6012	137	13	,	,	PUNCT
ejpam-6012	137	14	the	the	DET
ejpam-6012	137	15	symmetry	symmetry	NOUN
ejpam-6012	137	16	generator	generator	PROPN
ejpam-6012	137	17	∂	∂	NOUN
ejpam-6012	138	1	∂β	∂β	PROPN
ejpam-6012	138	2	+	+	CCONJ
ejpam-6012	138	3	γ	γ	PROPN
ejpam-6012	138	4	∂	∂	PRON
ejpam-6012	138	5	∂ϑ	∂ϑ	PROPN
ejpam-6012	138	6	leads	lead	VERB
ejpam-6012	138	7	to	to	ADP
ejpam-6012	138	8	characteristic	characteristic	ADJ
ejpam-6012	138	9	form	form	NOUN
ejpam-6012	138	10	dϑ	dϑ	ADP
ejpam-6012	138	11	γ	γ	X
ejpam-6012	138	12	=	=	NOUN
ejpam-6012	138	13	dα	dα	ADJ
ejpam-6012	138	14	0	0	NUM
ejpam-6012	138	15	=	=	SYM
ejpam-6012	139	1	dβ	dβ	ADP
ejpam-6012	139	2	1	1	NUM
ejpam-6012	139	3	=	=	SYM
ejpam-6012	139	4	dγ	dγ	NOUN
ejpam-6012	139	5	0	0	NUM
ejpam-6012	139	6	,	,	PUNCT
ejpam-6012	139	7	this	this	PRON
ejpam-6012	139	8	gives	give	VERB
ejpam-6012	139	9	rise	rise	NOUN
ejpam-6012	139	10	to	to	ADP
ejpam-6012	139	11	variables	variable	NOUN
ejpam-6012	139	12	ϑ(α	ϑ(α	PROPN
ejpam-6012	139	13	,	,	PUNCT
ejpam-6012	139	14	β	β	X
ejpam-6012	139	15	,	,	PUNCT
ejpam-6012	139	16	γ	γ	NOUN
ejpam-6012	139	17	)	)	PUNCT
ejpam-6012	140	1	=	=	SYM
ejpam-6012	140	2	βγ	βγ	NOUN
ejpam-6012	140	3	+	+	NOUN
ejpam-6012	140	4	p(k	p(k	NOUN
ejpam-6012	140	5	,	,	PUNCT
ejpam-6012	140	6	τ	τ	X
ejpam-6012	140	7	)	)	PUNCT
ejpam-6012	140	8	,	,	PUNCT
ejpam-6012	140	9	where	where	SCONJ
ejpam-6012	140	10	k	k	PROPN
ejpam-6012	140	11	=	=	SYM
ejpam-6012	140	12	α	α	PROPN
ejpam-6012	140	13	,	,	PUNCT
ejpam-6012	140	14	τ	τ	PROPN
ejpam-6012	140	15	=	=	SYM
ejpam-6012	140	16	γ	γ	X
ejpam-6012	140	17	.	.	PUNCT
ejpam-6012	140	18	applying	apply	VERB
ejpam-6012	140	19	these	these	DET
ejpam-6012	140	20	invariants	invariant	NOUN
ejpam-6012	140	21	,	,	PUNCT
ejpam-6012	140	22	eq	eq	X
ejpam-6012	140	23	(	(	PUNCT
ejpam-6012	140	24	20	20	NUM
ejpam-6012	140	25	)	)	PUNCT
ejpam-6012	140	26	transforms	transform	VERB
ejpam-6012	140	27	into	into	ADP
ejpam-6012	140	28	the	the	DET
ejpam-6012	140	29	following	follow	VERB
ejpam-6012	140	30	(	(	PUNCT
ejpam-6012	140	31	1	1	NUM
ejpam-6012	140	32	+	+	NOUN
ejpam-6012	140	33	1	1	NUM
ejpam-6012	140	34	)	)	PUNCT
ejpam-6012	140	35	pde	pde	NOUN
ejpam-6012	140	36	pkkkk	pkkkk	NOUN
ejpam-6012	141	1	+	+	CCONJ
ejpam-6012	141	2	3	3	NUM
ejpam-6012	141	3	(	(	PUNCT
ejpam-6012	141	4	−4p2k	−4p2k	NUM
ejpam-6012	141	5	+	+	CCONJ
ejpam-6012	141	6	τ	τ	X
ejpam-6012	141	7	)	)	PUNCT
ejpam-6012	141	8	pkk	pkk	NOUN
ejpam-6012	141	9	−	−	PROPN
ejpam-6012	141	10	2apττ	2apττ	NUM
ejpam-6012	142	1	+	+	CCONJ
ejpam-6012	142	2	2pkτ	2pkτ	NUM
ejpam-6012	142	3	=	=	SYM
ejpam-6012	142	4	0	0	NUM
ejpam-6012	142	5	.	.	PUNCT
ejpam-6012	143	1	(	(	PUNCT
ejpam-6012	143	2	22	22	NUM
ejpam-6012	143	3	)	)	PUNCT
ejpam-6012	143	4	the	the	DET
ejpam-6012	143	5	application	application	NOUN
ejpam-6012	143	6	of	of	ADP
ejpam-6012	143	7	the	the	DET
ejpam-6012	143	8	lie	lie	NOUN
ejpam-6012	143	9	symmetry	symmetry	NOUN
ejpam-6012	143	10	method	method	NOUN
ejpam-6012	143	11	to	to	ADP
ejpam-6012	143	12	this	this	PRON
ejpam-6012	143	13	(	(	PUNCT
ejpam-6012	143	14	1	1	NUM
ejpam-6012	143	15	+	+	NOUN
ejpam-6012	143	16	1	1	NUM
ejpam-6012	143	17	)	)	PUNCT
ejpam-6012	143	18	dimensional	dimensional	ADJ
ejpam-6012	143	19	pde	pde	NOUN
ejpam-6012	143	20	unveils	unveil	VERB
ejpam-6012	143	21	additional	additional	ADJ
ejpam-6012	143	22	infinitesimals	infinitesimal	NOUN
ejpam-6012	143	23	ϕk	ϕk	NOUN
ejpam-6012	143	24	=	=	SYM
ejpam-6012	143	25	c3	c3	PROPN
ejpam-6012	143	26	,	,	PUNCT
ejpam-6012	143	27	ϕτ	ϕτ	ADP
ejpam-6012	143	28	=	=	PUNCT
ejpam-6012	143	29	0	0	NUM
ejpam-6012	143	30	,	,	PUNCT
ejpam-6012	143	31	ςp	ςp	NOUN
ejpam-6012	143	32	=	=	SYM
ejpam-6012	143	33	c1τ	c1τ	PROPN
ejpam-6012	143	34	+	+	CCONJ
ejpam-6012	143	35	c2	c2	PROPN
ejpam-6012	143	36	.	.	PUNCT
ejpam-6012	144	1	(	(	PUNCT
ejpam-6012	144	2	23	23	NUM
ejpam-6012	144	3	)	)	PUNCT
ejpam-6012	144	4	a.	a.	NOUN
ejpam-6012	144	5	hussain	hussain	PROPN
ejpam-6012	144	6	et	et	PROPN
ejpam-6012	144	7	al	al	PROPN
ejpam-6012	144	8	.	.	PUNCT
ejpam-6012	144	9	/	/	SYM
ejpam-6012	144	10	eur	eur	PROPN
ejpam-6012	144	11	.	.	PUNCT
ejpam-6012	145	1	j.	j.	PROPN
ejpam-6012	145	2	pure	pure	PROPN
ejpam-6012	145	3	appl	appl	PROPN
ejpam-6012	145	4	.	.	PROPN
ejpam-6012	145	5	math	math	PROPN
ejpam-6012	145	6	,	,	PUNCT
ejpam-6012	145	7	18	18	NUM
ejpam-6012	145	8	(	(	PUNCT
ejpam-6012	145	9	3	3	NUM
ejpam-6012	145	10	)	)	PUNCT
ejpam-6012	145	11	(	(	PUNCT
ejpam-6012	145	12	2025	2025	NUM
ejpam-6012	145	13	)	)	PUNCT
ejpam-6012	145	14	,	,	PUNCT
ejpam-6012	145	15	6012	6012	NUM
ejpam-6012	145	16	8	8	NUM
ejpam-6012	145	17	of	of	ADP
ejpam-6012	145	18	20	20	NUM
ejpam-6012	145	19	case	case	NOUN
ejpam-6012	145	20	2.1.1	2.1.1	NUM
ejpam-6012	145	21	:	:	PUNCT
ejpam-6012	145	22	for	for	ADP
ejpam-6012	145	23	c1	c1	NOUN
ejpam-6012	145	24	=	=	PROPN
ejpam-6012	145	25	c2	c2	PROPN
ejpam-6012	145	26	=	=	SYM
ejpam-6012	145	27	c3	c3	PROPN
ejpam-6012	145	28	=	=	SYM
ejpam-6012	145	29	1	1	NUM
ejpam-6012	145	30	,	,	PUNCT
ejpam-6012	145	31	the	the	DET
ejpam-6012	145	32	symmetry	symmetry	NOUN
ejpam-6012	145	33	generator	generator	NOUN
ejpam-6012	145	34	(	(	PUNCT
ejpam-6012	145	35	1	1	NUM
ejpam-6012	145	36	+	+	NUM
ejpam-6012	145	37	τ	τ	PROPN
ejpam-6012	145	38	)	)	PUNCT
ejpam-6012	145	39	∂	∂	PUNCT
ejpam-6012	146	1	∂p	∂p	ADJ
ejpam-6012	146	2	+	+	PUNCT
ejpam-6012	146	3	∂	∂	ADV
ejpam-6012	146	4	∂k	∂k	PRON
ejpam-6012	146	5	leads	lead	VERB
ejpam-6012	146	6	to	to	ADP
ejpam-6012	146	7	characteristic	characteristic	ADJ
ejpam-6012	146	8	form	form	NOUN
ejpam-6012	146	9	dp	dp	NOUN
ejpam-6012	146	10	τ	τ	PROPN
ejpam-6012	146	11	+	+	NOUN
ejpam-6012	146	12	1	1	X
ejpam-6012	146	13	=	=	SYM
ejpam-6012	146	14	dk	dk	PRON
ejpam-6012	146	15	1	1	NUM
ejpam-6012	146	16	=	=	SYM
ejpam-6012	146	17	dτ	dτ	NOUN
ejpam-6012	146	18	0	0	NUM
ejpam-6012	146	19	,	,	PUNCT
ejpam-6012	146	20	which	which	PRON
ejpam-6012	146	21	gives	give	VERB
ejpam-6012	146	22	rise	rise	NOUN
ejpam-6012	146	23	to	to	ADP
ejpam-6012	146	24	invariant	invariant	ADJ
ejpam-6012	146	25	variables	variable	NOUN
ejpam-6012	146	26	p(k	p(k	NOUN
ejpam-6012	146	27	,	,	PUNCT
ejpam-6012	146	28	τ	τ	X
ejpam-6012	146	29	)	)	PUNCT
ejpam-6012	146	30	=	=	VERB
ejpam-6012	147	1	kτ	kτ	PROPN
ejpam-6012	148	1	+	+	CCONJ
ejpam-6012	148	2	k	k	PROPN
ejpam-6012	148	3	+	+	CCONJ
ejpam-6012	148	4	h(s	h(	NOUN
ejpam-6012	148	5	)	)	PUNCT
ejpam-6012	149	1	,	,	PUNCT
ejpam-6012	149	2	where	where	SCONJ
ejpam-6012	149	3	s	s	VERB
ejpam-6012	149	4	=	=	SYM
ejpam-6012	149	5	τ	τ	X
ejpam-6012	149	6	.	.	PUNCT
ejpam-6012	150	1	applying	apply	VERB
ejpam-6012	150	2	these	these	DET
ejpam-6012	150	3	invariants	invariant	NOUN
ejpam-6012	150	4	,	,	PUNCT
ejpam-6012	150	5	eq	eq	X
ejpam-6012	150	6	(	(	PUNCT
ejpam-6012	150	7	22	22	NUM
ejpam-6012	150	8	)	)	PUNCT
ejpam-6012	150	9	transforms	transform	VERB
ejpam-6012	150	10	into	into	ADP
ejpam-6012	150	11	the	the	DET
ejpam-6012	150	12	following	follow	VERB
ejpam-6012	150	13	ode	ode	ADJ
ejpam-6012	150	14	−2ah′′	−2ah′′	NOUN
ejpam-6012	150	15	+2	+2	PROPN
ejpam-6012	150	16	=	=	SYM
ejpam-6012	150	17	0	0	NUM
ejpam-6012	150	18	,	,	PUNCT
ejpam-6012	150	19	with	with	ADP
ejpam-6012	150	20	solution	solution	NOUN
ejpam-6012	150	21	h(s	h(	NOUN
ejpam-6012	150	22	)	)	PUNCT
ejpam-6012	151	1	=	=	SYM
ejpam-6012	151	2	s2	s2	NOUN
ejpam-6012	151	3	2a	2a	NUM
ejpam-6012	151	4	+	+	CCONJ
ejpam-6012	151	5	c1s+	c1s+	PROPN
ejpam-6012	151	6	c2	c2	PROPN
ejpam-6012	151	7	,	,	PUNCT
ejpam-6012	151	8	(	(	PUNCT
ejpam-6012	151	9	24	24	NUM
ejpam-6012	151	10	)	)	PUNCT
ejpam-6012	151	11	this	this	PRON
ejpam-6012	151	12	gives	give	VERB
ejpam-6012	151	13	,	,	PUNCT
ejpam-6012	151	14	p(k	p(k	NOUN
ejpam-6012	151	15	,	,	PUNCT
ejpam-6012	151	16	τ	τ	X
ejpam-6012	151	17	)	)	PUNCT
ejpam-6012	151	18	=	=	SYM
ejpam-6012	151	19	τ2	τ2	NOUN
ejpam-6012	151	20	2a	2a	NUM
ejpam-6012	151	21	+	+	CCONJ
ejpam-6012	151	22	c1τ	c1τ	NOUN
ejpam-6012	151	23	+	+	CCONJ
ejpam-6012	151	24	c2	c2	PROPN
ejpam-6012	151	25	+	+	CCONJ
ejpam-6012	151	26	kτ	kτ	PROPN
ejpam-6012	152	1	+	+	CCONJ
ejpam-6012	152	2	k	k	PROPN
ejpam-6012	152	3	,	,	PUNCT
ejpam-6012	152	4	(	(	PUNCT
ejpam-6012	152	5	25	25	NUM
ejpam-6012	152	6	)	)	PUNCT
ejpam-6012	153	1	which	which	PRON
ejpam-6012	153	2	yields	yield	VERB
ejpam-6012	153	3	,	,	PUNCT
ejpam-6012	153	4	ϑ(α	ϑ(α	PROPN
ejpam-6012	153	5	,	,	PUNCT
ejpam-6012	153	6	β	β	X
ejpam-6012	153	7	,	,	PUNCT
ejpam-6012	153	8	γ	γ	NOUN
ejpam-6012	153	9	)	)	PUNCT
ejpam-6012	153	10	=	=	SYM
ejpam-6012	153	11	γ2	γ2	ADJ
ejpam-6012	153	12	2a	2a	NUM
ejpam-6012	153	13	+	+	CCONJ
ejpam-6012	153	14	c1γ	c1γ	PROPN
ejpam-6012	153	15	+	+	CCONJ
ejpam-6012	153	16	c2	c2	PROPN
ejpam-6012	153	17	+	+	CCONJ
ejpam-6012	153	18	αγ	αγ	PROPN
ejpam-6012	154	1	+	+	CCONJ
ejpam-6012	154	2	α+	α+	X
ejpam-6012	154	3	βγ	βγ	NOUN
ejpam-6012	154	4	.	.	PUNCT
ejpam-6012	155	1	(	(	PUNCT
ejpam-6012	155	2	26	26	NUM
ejpam-6012	155	3	)	)	PUNCT
ejpam-6012	155	4	as	as	ADP
ejpam-6012	155	5	a	a	DET
ejpam-6012	155	6	outcome	outcome	NOUN
ejpam-6012	155	7	,	,	PUNCT
ejpam-6012	155	8	the	the	DET
ejpam-6012	155	9	invariant	invariant	ADJ
ejpam-6012	155	10	solution	solution	NOUN
ejpam-6012	155	11	for	for	ADP
ejpam-6012	155	12	the	the	DET
ejpam-6012	155	13	(	(	PUNCT
ejpam-6012	155	14	3	3	NUM
ejpam-6012	155	15	+	+	NOUN
ejpam-6012	155	16	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	155	17	model	model	NOUN
ejpam-6012	155	18	(	(	PUNCT
ejpam-6012	155	19	4	4	NUM
ejpam-6012	155	20	)	)	PUNCT
ejpam-6012	155	21	is	be	AUX
ejpam-6012	155	22	formulated	formulate	VERB
ejpam-6012	155	23	as	as	SCONJ
ejpam-6012	155	24	follows	follow	VERB
ejpam-6012	155	25	u(x	u(x	NOUN
ejpam-6012	155	26	,	,	PUNCT
ejpam-6012	155	27	y	y	PROPN
ejpam-6012	155	28	,	,	PUNCT
ejpam-6012	155	29	z	z	PROPN
ejpam-6012	155	30	,	,	PUNCT
ejpam-6012	155	31	t	t	PROPN
ejpam-6012	155	32	)	)	PUNCT
ejpam-6012	155	33	=	=	PUNCT
ejpam-6012	155	34	(	(	PUNCT
ejpam-6012	155	35	t−	t−	PROPN
ejpam-6012	155	36	z)2	z)2	PROPN
ejpam-6012	155	37	2a	2a	NUM
ejpam-6012	155	38	+	+	CCONJ
ejpam-6012	155	39	c1(t−	c1(t−	NOUN
ejpam-6012	156	1	z	z	X
ejpam-6012	156	2	)	)	PUNCT
ejpam-6012	157	1	+	+	CCONJ
ejpam-6012	157	2	c2	c2	PROPN
ejpam-6012	157	3	+	+	CCONJ
ejpam-6012	157	4	x(t−	x(t−	PROPN
ejpam-6012	157	5	z	z	X
ejpam-6012	157	6	)	)	PUNCT
ejpam-6012	158	1	+	+	CCONJ
ejpam-6012	158	2	x+	x+	ADJ
ejpam-6012	158	3	y(t−	y(t−	PROPN
ejpam-6012	158	4	z	z	PROPN
ejpam-6012	158	5	)	)	PUNCT
ejpam-6012	159	1	+	+	CCONJ
ejpam-6012	159	2	z	z	X
ejpam-6012	159	3	,	,	PUNCT
ejpam-6012	159	4	(	(	PUNCT
ejpam-6012	159	5	27	27	NUM
ejpam-6012	159	6	)	)	PUNCT
ejpam-6012	159	7	where	where	SCONJ
ejpam-6012	159	8	c1	c1	PROPN
ejpam-6012	159	9	,	,	PUNCT
ejpam-6012	159	10	c2	c2	PROPN
ejpam-6012	159	11	are	be	AUX
ejpam-6012	159	12	any	any	DET
ejpam-6012	159	13	constants	constant	NOUN
ejpam-6012	159	14	.	.	PUNCT
ejpam-6012	160	1	case	case	NOUN
ejpam-6012	160	2	3	3	NUM
ejpam-6012	160	3	:	:	PUNCT
ejpam-6012	160	4	v2	v2	PROPN
ejpam-6012	160	5	+	+	CCONJ
ejpam-6012	160	6	v3	v3	PROPN
ejpam-6012	160	7	+	+	CCONJ
ejpam-6012	160	8	v5	v5	PROPN
ejpam-6012	160	9	=	=	SYM
ejpam-6012	160	10	∂	∂	NUM
ejpam-6012	160	11	∂z	∂z	PROPN
ejpam-6012	161	1	+	+	CCONJ
ejpam-6012	161	2	z	z	PROPN
ejpam-6012	161	3	∂	∂	NOUN
ejpam-6012	161	4	∂u	∂u	NOUN
ejpam-6012	161	5	+	+	CCONJ
ejpam-6012	161	6	∂	∂	NUM
ejpam-6012	161	7	∂t	∂t	PROPN
ejpam-6012	161	8	.	.	PUNCT
ejpam-6012	162	1	in	in	ADP
ejpam-6012	162	2	the	the	DET
ejpam-6012	162	3	case	case	NOUN
ejpam-6012	162	4	of	of	ADP
ejpam-6012	162	5	the	the	DET
ejpam-6012	162	6	symmetry	symmetry	NOUN
ejpam-6012	162	7	generator	generator	NOUN
ejpam-6012	162	8	v2+v3+v5	v2+v3+v5	PROPN
ejpam-6012	162	9	,	,	PUNCT
ejpam-6012	162	10	the	the	DET
ejpam-6012	162	11	lagrange	lagrange	NOUN
ejpam-6012	162	12	equation	equation	NOUN
ejpam-6012	162	13	can	can	AUX
ejpam-6012	162	14	be	be	AUX
ejpam-6012	162	15	expressed	express	VERB
ejpam-6012	162	16	as	as	ADP
ejpam-6012	162	17	shown	show	VERB
ejpam-6012	162	18	below	below	ADV
ejpam-6012	162	19	,	,	PUNCT
ejpam-6012	162	20	du	du	PROPN
ejpam-6012	162	21	z	z	PROPN
ejpam-6012	162	22	=	=	PUNCT
ejpam-6012	162	23	dx	dx	PROPN
ejpam-6012	162	24	0	0	PUNCT
ejpam-6012	163	1	=	=	PUNCT
ejpam-6012	163	2	dy	dy	NOUN
ejpam-6012	163	3	0	0	NUM
ejpam-6012	164	1	=	=	SYM
ejpam-6012	164	2	dz	dz	PRON
ejpam-6012	164	3	1	1	NUM
ejpam-6012	164	4	=	=	SYM
ejpam-6012	164	5	dt	dt	NOUN
ejpam-6012	164	6	1	1	NUM
ejpam-6012	164	7	,	,	PUNCT
ejpam-6012	164	8	and	and	CCONJ
ejpam-6012	164	9	produces	produce	VERB
ejpam-6012	164	10	a	a	DET
ejpam-6012	164	11	similarity	similarity	NOUN
ejpam-6012	164	12	transformation	transformation	NOUN
ejpam-6012	164	13	u(x	u(x	NOUN
ejpam-6012	164	14	,	,	PUNCT
ejpam-6012	164	15	y	y	PROPN
ejpam-6012	164	16	,	,	PUNCT
ejpam-6012	164	17	z	z	PROPN
ejpam-6012	164	18	,	,	PUNCT
ejpam-6012	164	19	t	t	PROPN
ejpam-6012	164	20	)	)	PUNCT
ejpam-6012	165	1	=	=	SYM
ejpam-6012	165	2	z2	z2	NOUN
ejpam-6012	165	3	2	2	NUM
ejpam-6012	165	4	+	+	CCONJ
ejpam-6012	165	5	ϑ(α	ϑ(α	PROPN
ejpam-6012	165	6	,	,	PUNCT
ejpam-6012	165	7	β	β	X
ejpam-6012	165	8	,	,	PUNCT
ejpam-6012	165	9	γ	γ	PROPN
ejpam-6012	165	10	)	)	PUNCT
ejpam-6012	165	11	,	,	PUNCT
ejpam-6012	165	12	α	α	X
ejpam-6012	165	13	=	=	SYM
ejpam-6012	165	14	x	x	PROPN
ejpam-6012	165	15	,	,	PUNCT
ejpam-6012	165	16	β	β	X
ejpam-6012	165	17	=	=	SYM
ejpam-6012	165	18	y	y	PROPN
ejpam-6012	165	19	,	,	PUNCT
ejpam-6012	165	20	γ	γ	NOUN
ejpam-6012	165	21	=	=	SYM
ejpam-6012	165	22	−z	−z	PROPN
ejpam-6012	165	23	+	+	CCONJ
ejpam-6012	165	24	t.	t.	NOUN
ejpam-6012	165	25	through	through	ADP
ejpam-6012	165	26	the	the	DET
ejpam-6012	165	27	application	application	NOUN
ejpam-6012	165	28	of	of	ADP
ejpam-6012	165	29	this	this	DET
ejpam-6012	165	30	transformation	transformation	NOUN
ejpam-6012	165	31	,	,	PUNCT
ejpam-6012	165	32	we	we	PRON
ejpam-6012	165	33	continue	continue	VERB
ejpam-6012	165	34	with	with	ADP
ejpam-6012	165	35	equation	equation	NOUN
ejpam-6012	165	36	(	(	PUNCT
ejpam-6012	165	37	4	4	NUM
ejpam-6012	165	38	)	)	PUNCT
ejpam-6012	165	39	in	in	ADP
ejpam-6012	165	40	its	its	PRON
ejpam-6012	165	41	reduced	reduce	VERB
ejpam-6012	165	42	form	form	NOUN
ejpam-6012	165	43	as	as	SCONJ
ejpam-6012	165	44	shown	show	VERB
ejpam-6012	165	45	below	below	ADP
ejpam-6012	165	46	,	,	PUNCT
ejpam-6012	165	47	2ϑαααα	2ϑαααα	PROPN
ejpam-6012	165	48	+	+	CCONJ
ejpam-6012	165	49	(	(	PUNCT
ejpam-6012	165	50	−12ϑ2α	−12ϑ2α	VERB
ejpam-6012	166	1	+	+	CCONJ
ejpam-6012	167	1	3ϑβ)ϑαα	3ϑβ)ϑαα	NUM
ejpam-6012	167	2	−	−	PROPN
ejpam-6012	167	3	2aϑγγ	2aϑγγ	NUM
ejpam-6012	168	1	+	+	PROPN
ejpam-6012	168	2	3ϑαϑαβ	3ϑαϑαβ	NUM
ejpam-6012	168	3	−	−	PROPN
ejpam-6012	168	4	2a+	2a+	NUM
ejpam-6012	168	5	2ϑαγ	2ϑαγ	NUM
ejpam-6012	168	6	=	=	SYM
ejpam-6012	168	7	0	0	NUM
ejpam-6012	168	8	,	,	PUNCT
ejpam-6012	168	9	(	(	PUNCT
ejpam-6012	168	10	28	28	NUM
ejpam-6012	168	11	)	)	PUNCT
ejpam-6012	168	12	the	the	DET
ejpam-6012	168	13	application	application	NOUN
ejpam-6012	168	14	of	of	ADP
ejpam-6012	168	15	the	the	DET
ejpam-6012	168	16	lie	lie	NOUN
ejpam-6012	168	17	symmetry	symmetry	NOUN
ejpam-6012	168	18	method	method	NOUN
ejpam-6012	168	19	to	to	ADP
ejpam-6012	168	20	this	this	PRON
ejpam-6012	168	21	(	(	PUNCT
ejpam-6012	168	22	2	2	NUM
ejpam-6012	168	23	+	+	NOUN
ejpam-6012	168	24	1	1	NUM
ejpam-6012	168	25	)	)	PUNCT
ejpam-6012	168	26	dimensional	dimensional	ADJ
ejpam-6012	168	27	pde	pde	NOUN
ejpam-6012	168	28	unveils	unveil	VERB
ejpam-6012	168	29	additional	additional	ADJ
ejpam-6012	168	30	infinitesimals	infinitesimal	NOUN
ejpam-6012	168	31	ϕα	ϕα	ADP
ejpam-6012	168	32	=	=	SYM
ejpam-6012	168	33	c3	c3	PROPN
ejpam-6012	168	34	,	,	PUNCT
ejpam-6012	168	35	ϕβ	ϕβ	PROPN
ejpam-6012	168	36	=	=	SYM
ejpam-6012	168	37	c4	c4	NOUN
ejpam-6012	168	38	,	,	PUNCT
ejpam-6012	168	39	ϕγ	ϕγ	ADP
ejpam-6012	168	40	=	=	PROPN
ejpam-6012	168	41	c5	c5	PROPN
ejpam-6012	168	42	,	,	PUNCT
ejpam-6012	168	43	ςϑ	ςϑ	NOUN
ejpam-6012	168	44	=	=	PROPN
ejpam-6012	168	45	c1	c1	PROPN
ejpam-6012	168	46	+	+	CCONJ
ejpam-6012	168	47	c2γ	c2γ	PROPN
ejpam-6012	168	48	.	.	PUNCT
ejpam-6012	169	1	(	(	PUNCT
ejpam-6012	169	2	29	29	NUM
ejpam-6012	169	3	)	)	PUNCT
ejpam-6012	169	4	case	case	NOUN
ejpam-6012	169	5	3.1	3.1	NUM
ejpam-6012	169	6	:	:	PUNCT
ejpam-6012	169	7	for	for	ADP
ejpam-6012	169	8	c1	c1	NOUN
ejpam-6012	169	9	=	=	PROPN
ejpam-6012	169	10	c3	c3	PROPN
ejpam-6012	169	11	=	=	PROPN
ejpam-6012	169	12	c4	c4	NOUN
ejpam-6012	169	13	=	=	SYM
ejpam-6012	169	14	1	1	NUM
ejpam-6012	169	15	and	and	CCONJ
ejpam-6012	169	16	the	the	DET
ejpam-6012	169	17	symmetry	symmetry	NOUN
ejpam-6012	169	18	generator	generator	PROPN
ejpam-6012	169	19	∂	∂	NOUN
ejpam-6012	169	20	∂β	∂β	PROPN
ejpam-6012	169	21	+	+	CCONJ
ejpam-6012	169	22	∂	∂	NUM
ejpam-6012	169	23	∂ϑ	∂ϑ	NOUN
ejpam-6012	169	24	+	+	CCONJ
ejpam-6012	169	25	∂	∂	NOUN
ejpam-6012	170	1	∂α	∂α	NOUN
ejpam-6012	170	2	leads	lead	VERB
ejpam-6012	170	3	to	to	ADP
ejpam-6012	170	4	characteristic	characteristic	ADJ
ejpam-6012	170	5	form	form	NOUN
ejpam-6012	170	6	dϑ	dϑ	NOUN
ejpam-6012	170	7	1	1	NUM
ejpam-6012	170	8	=	=	NOUN
ejpam-6012	170	9	dα	dα	DET
ejpam-6012	171	1	1	1	NUM
ejpam-6012	171	2	=	=	SYM
ejpam-6012	171	3	dβ	dβ	ADP
ejpam-6012	171	4	1	1	NUM
ejpam-6012	171	5	=	=	SYM
ejpam-6012	171	6	dγ	dγ	NOUN
ejpam-6012	171	7	0	0	NUM
ejpam-6012	171	8	,	,	PUNCT
ejpam-6012	171	9	a.	a.	PROPN
ejpam-6012	171	10	hussain	hussain	PROPN
ejpam-6012	171	11	et	et	PROPN
ejpam-6012	171	12	al	al	PROPN
ejpam-6012	171	13	.	.	PUNCT
ejpam-6012	171	14	/	/	SYM
ejpam-6012	171	15	eur	eur	PROPN
ejpam-6012	171	16	.	.	PUNCT
ejpam-6012	172	1	j.	j.	PROPN
ejpam-6012	172	2	pure	pure	PROPN
ejpam-6012	172	3	appl	appl	PROPN
ejpam-6012	172	4	.	.	PROPN
ejpam-6012	172	5	math	math	PROPN
ejpam-6012	172	6	,	,	PUNCT
ejpam-6012	172	7	18	18	NUM
ejpam-6012	172	8	(	(	PUNCT
ejpam-6012	172	9	3	3	NUM
ejpam-6012	172	10	)	)	PUNCT
ejpam-6012	172	11	(	(	PUNCT
ejpam-6012	172	12	2025	2025	NUM
ejpam-6012	172	13	)	)	PUNCT
ejpam-6012	172	14	,	,	PUNCT
ejpam-6012	172	15	6012	6012	NUM
ejpam-6012	172	16	9	9	NUM
ejpam-6012	172	17	of	of	ADP
ejpam-6012	172	18	20	20	NUM
ejpam-6012	172	19	which	which	PRON
ejpam-6012	172	20	yields	yield	VERB
ejpam-6012	172	21	variables	variable	NOUN
ejpam-6012	172	22	ϑ(α	ϑ(α	PROPN
ejpam-6012	172	23	,	,	PUNCT
ejpam-6012	172	24	β	β	X
ejpam-6012	172	25	,	,	PUNCT
ejpam-6012	172	26	γ	γ	NOUN
ejpam-6012	172	27	)	)	PUNCT
ejpam-6012	172	28	=	=	SYM
ejpam-6012	172	29	α+	α+	PRON
ejpam-6012	172	30	p(k	p(k	NOUN
ejpam-6012	172	31	,	,	PUNCT
ejpam-6012	172	32	τ	τ	X
ejpam-6012	172	33	)	)	PUNCT
ejpam-6012	172	34	,	,	PUNCT
ejpam-6012	172	35	where	where	SCONJ
ejpam-6012	172	36	k	k	PROPN
ejpam-6012	172	37	=	=	SYM
ejpam-6012	172	38	γ	γ	PROPN
ejpam-6012	172	39	,	,	PUNCT
ejpam-6012	172	40	τ	τ	X
ejpam-6012	172	41	=	=	PUNCT
ejpam-6012	172	42	−α+	−α+	PROPN
ejpam-6012	172	43	β	β	X
ejpam-6012	172	44	.	.	PUNCT
ejpam-6012	172	45	applying	apply	VERB
ejpam-6012	172	46	these	these	DET
ejpam-6012	172	47	invariants	invariant	NOUN
ejpam-6012	172	48	,	,	PUNCT
ejpam-6012	172	49	eq	eq	X
ejpam-6012	172	50	(	(	PUNCT
ejpam-6012	172	51	28	28	NUM
ejpam-6012	172	52	)	)	PUNCT
ejpam-6012	172	53	transforms	transform	VERB
ejpam-6012	172	54	into	into	ADP
ejpam-6012	172	55	the	the	DET
ejpam-6012	172	56	following	follow	VERB
ejpam-6012	172	57	(	(	PUNCT
ejpam-6012	172	58	1	1	NUM
ejpam-6012	172	59	+	+	NOUN
ejpam-6012	172	60	1	1	NUM
ejpam-6012	172	61	)	)	PUNCT
ejpam-6012	172	62	pde	pde	NOUN
ejpam-6012	172	63	2pττττ	2pττττ	NUM
ejpam-6012	172	64	+	+	CCONJ
ejpam-6012	172	65	(	(	PUNCT
ejpam-6012	172	66	−12p2τ	−12p2τ	X
ejpam-6012	173	1	+	+	CCONJ
ejpam-6012	173	2	30pτ	30pτ	ADJ
ejpam-6012	173	3	−	−	PROPN
ejpam-6012	173	4	15)pττ	15)pττ	NUM
ejpam-6012	173	5	−	−	NUM
ejpam-6012	173	6	2apkk	2apkk	NUM
ejpam-6012	173	7	−	−	NOUN
ejpam-6012	173	8	2a−	2a−	NUM
ejpam-6012	173	9	2pkτ	2pkτ	NUM
ejpam-6012	173	10	=	=	SYM
ejpam-6012	173	11	0	0	PROPN
ejpam-6012	173	12	.	.	PUNCT
ejpam-6012	173	13	(	(	PUNCT
ejpam-6012	173	14	30	30	NUM
ejpam-6012	173	15	)	)	PUNCT
ejpam-6012	173	16	the	the	DET
ejpam-6012	173	17	application	application	NOUN
ejpam-6012	173	18	of	of	ADP
ejpam-6012	173	19	the	the	DET
ejpam-6012	173	20	lie	lie	NOUN
ejpam-6012	173	21	symmetry	symmetry	NOUN
ejpam-6012	173	22	method	method	NOUN
ejpam-6012	173	23	to	to	ADP
ejpam-6012	173	24	this	this	PRON
ejpam-6012	173	25	(	(	PUNCT
ejpam-6012	173	26	1	1	NUM
ejpam-6012	173	27	+	+	NOUN
ejpam-6012	173	28	1	1	NUM
ejpam-6012	173	29	)	)	PUNCT
ejpam-6012	173	30	dimensional	dimensional	ADJ
ejpam-6012	173	31	pde	pde	NOUN
ejpam-6012	173	32	unveils	unveil	VERB
ejpam-6012	173	33	additional	additional	ADJ
ejpam-6012	173	34	infinitesimals	infinitesimal	NOUN
ejpam-6012	173	35	ϕk	ϕk	NOUN
ejpam-6012	173	36	=	=	SYM
ejpam-6012	173	37	c3	c3	PROPN
ejpam-6012	173	38	,	,	PUNCT
ejpam-6012	173	39	ϕτ	ϕτ	ADP
ejpam-6012	173	40	=	=	NOUN
ejpam-6012	173	41	c4	c4	NOUN
ejpam-6012	173	42	,	,	PUNCT
ejpam-6012	173	43	ςp	ςp	PROPN
ejpam-6012	173	44	=	=	SYM
ejpam-6012	173	45	c1	c1	PROPN
ejpam-6012	173	46	+	+	CCONJ
ejpam-6012	173	47	c2τ	c2τ	PROPN
ejpam-6012	173	48	.	.	PUNCT
ejpam-6012	174	1	(	(	PUNCT
ejpam-6012	174	2	31	31	NUM
ejpam-6012	174	3	)	)	PUNCT
ejpam-6012	174	4	case	case	NOUN
ejpam-6012	174	5	3.1.1	3.1.1	NUM
ejpam-6012	174	6	:	:	PUNCT
ejpam-6012	174	7	for	for	ADP
ejpam-6012	174	8	c1	c1	NOUN
ejpam-6012	174	9	=	=	PROPN
ejpam-6012	174	10	c4	c4	NOUN
ejpam-6012	174	11	=	=	SYM
ejpam-6012	174	12	1	1	NUM
ejpam-6012	174	13	and	and	CCONJ
ejpam-6012	174	14	the	the	DET
ejpam-6012	174	15	symmetry	symmetry	NOUN
ejpam-6012	174	16	generator	generator	PROPN
ejpam-6012	174	17	∂	∂	PROPN
ejpam-6012	174	18	∂τ	∂τ	PROPN
ejpam-6012	174	19	+	+	CCONJ
ejpam-6012	174	20	∂	∂	NUM
ejpam-6012	174	21	∂p	∂p	NOUN
ejpam-6012	174	22	leads	lead	VERB
ejpam-6012	174	23	to	to	ADP
ejpam-6012	174	24	characteristic	characteristic	ADJ
ejpam-6012	174	25	form	form	NOUN
ejpam-6012	174	26	dp	dp	NOUN
ejpam-6012	174	27	1	1	NUM
ejpam-6012	174	28	=	=	NOUN
ejpam-6012	174	29	dk	dk	NOUN
ejpam-6012	174	30	0	0	PUNCT
ejpam-6012	174	31	=	=	SYM
ejpam-6012	174	32	dτ	dτ	PROPN
ejpam-6012	174	33	1	1	NUM
ejpam-6012	174	34	,	,	PUNCT
ejpam-6012	174	35	with	with	ADP
ejpam-6012	174	36	invariant	invariant	ADJ
ejpam-6012	174	37	variables	variable	NOUN
ejpam-6012	174	38	p(k	p(k	NOUN
ejpam-6012	174	39	,	,	PUNCT
ejpam-6012	174	40	τ	τ	X
ejpam-6012	174	41	)	)	PUNCT
ejpam-6012	174	42	=	=	SYM
ejpam-6012	174	43	τ	τ	PROPN
ejpam-6012	174	44	+	+	NUM
ejpam-6012	174	45	h(s	h(	NOUN
ejpam-6012	174	46	)	)	PUNCT
ejpam-6012	174	47	,	,	PUNCT
ejpam-6012	174	48	where	where	SCONJ
ejpam-6012	174	49	k	k	PROPN
ejpam-6012	174	50	=	=	SYM
ejpam-6012	174	51	s	s	PROPN
ejpam-6012	174	52	,	,	PUNCT
ejpam-6012	174	53	applying	apply	VERB
ejpam-6012	174	54	these	these	DET
ejpam-6012	174	55	invariants	invariant	NOUN
ejpam-6012	174	56	,	,	PUNCT
ejpam-6012	174	57	(	(	PUNCT
ejpam-6012	174	58	30	30	NUM
ejpam-6012	174	59	)	)	PUNCT
ejpam-6012	174	60	transforms	transform	VERB
ejpam-6012	174	61	into	into	ADP
ejpam-6012	174	62	ode	ode	ADJ
ejpam-6012	174	63	−2ah′′	−2ah′′	NOUN
ejpam-6012	174	64	−	−	PROPN
ejpam-6012	174	65	2a	2a	NUM
ejpam-6012	174	66	=	=	SYM
ejpam-6012	174	67	0	0	X
ejpam-6012	174	68	.	.	PUNCT
ejpam-6012	175	1	the	the	DET
ejpam-6012	175	2	solution	solution	NOUN
ejpam-6012	175	3	for	for	ADP
ejpam-6012	175	4	this	this	DET
ejpam-6012	175	5	ode	ode	NOUN
ejpam-6012	175	6	is	be	AUX
ejpam-6012	175	7	h(s	h(	NOUN
ejpam-6012	175	8	)	)	PUNCT
ejpam-6012	176	1	=	=	SYM
ejpam-6012	176	2	−s	−s	NOUN
ejpam-6012	176	3	2	2	NUM
ejpam-6012	176	4	2	2	NUM
ejpam-6012	176	5	+	+	NUM
ejpam-6012	176	6	c1s+	c1s+	PROPN
ejpam-6012	176	7	c2	c2	PROPN
ejpam-6012	176	8	,	,	PUNCT
ejpam-6012	176	9	(	(	PUNCT
ejpam-6012	176	10	32	32	NUM
ejpam-6012	176	11	)	)	PUNCT
ejpam-6012	176	12	this	this	PRON
ejpam-6012	176	13	gives	give	VERB
ejpam-6012	176	14	,	,	PUNCT
ejpam-6012	176	15	p(k	p(k	NOUN
ejpam-6012	176	16	,	,	PUNCT
ejpam-6012	176	17	τ	τ	X
ejpam-6012	176	18	)	)	PUNCT
ejpam-6012	176	19	=	=	SYM
ejpam-6012	176	20	−k	−k	ADJ
ejpam-6012	176	21	2	2	NUM
ejpam-6012	176	22	2	2	NUM
ejpam-6012	176	23	+	+	NUM
ejpam-6012	176	24	c1k	c1k	NOUN
ejpam-6012	176	25	+	+	X
ejpam-6012	176	26	c2	c2	PROPN
ejpam-6012	176	27	+	+	CCONJ
ejpam-6012	176	28	τ	τ	PROPN
ejpam-6012	176	29	,	,	PUNCT
ejpam-6012	176	30	(	(	PUNCT
ejpam-6012	176	31	33	33	NUM
ejpam-6012	176	32	)	)	PUNCT
ejpam-6012	176	33	which	which	PRON
ejpam-6012	176	34	yields	yield	VERB
ejpam-6012	176	35	,	,	PUNCT
ejpam-6012	176	36	ϑ(α	ϑ(α	PROPN
ejpam-6012	176	37	,	,	PUNCT
ejpam-6012	176	38	β	β	X
ejpam-6012	176	39	,	,	PUNCT
ejpam-6012	176	40	γ	γ	NOUN
ejpam-6012	176	41	)	)	PUNCT
ejpam-6012	176	42	=	=	VERB
ejpam-6012	176	43	−γ	−γ	ADJ
ejpam-6012	176	44	2	2	NUM
ejpam-6012	176	45	2	2	NUM
ejpam-6012	176	46	+	+	NUM
ejpam-6012	176	47	c1γ	c1γ	PROPN
ejpam-6012	176	48	+	+	CCONJ
ejpam-6012	176	49	c2	c2	PROPN
ejpam-6012	176	50	+	+	CCONJ
ejpam-6012	176	51	(	(	PUNCT
ejpam-6012	176	52	−α+	−α+	NOUN
ejpam-6012	176	53	β	β	X
ejpam-6012	176	54	)	)	PUNCT
ejpam-6012	176	55	+	+	CCONJ
ejpam-6012	176	56	α	α	X
ejpam-6012	176	57	.	.	PUNCT
ejpam-6012	177	1	(	(	PUNCT
ejpam-6012	177	2	34	34	NUM
ejpam-6012	177	3	)	)	PUNCT
ejpam-6012	177	4	as	as	ADP
ejpam-6012	177	5	a	a	DET
ejpam-6012	177	6	outcome	outcome	NOUN
ejpam-6012	177	7	,	,	PUNCT
ejpam-6012	177	8	the	the	DET
ejpam-6012	177	9	invariant	invariant	ADJ
ejpam-6012	177	10	solution	solution	NOUN
ejpam-6012	177	11	for	for	ADP
ejpam-6012	177	12	the	the	DET
ejpam-6012	177	13	(	(	PUNCT
ejpam-6012	177	14	3	3	NUM
ejpam-6012	177	15	+	+	NOUN
ejpam-6012	177	16	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	177	17	model	model	NOUN
ejpam-6012	177	18	(	(	PUNCT
ejpam-6012	177	19	4	4	NUM
ejpam-6012	177	20	)	)	PUNCT
ejpam-6012	177	21	is	be	AUX
ejpam-6012	177	22	formulated	formulate	VERB
ejpam-6012	177	23	as	as	SCONJ
ejpam-6012	177	24	follows	follow	VERB
ejpam-6012	177	25	u(x	u(x	NOUN
ejpam-6012	177	26	,	,	PUNCT
ejpam-6012	177	27	y	y	PROPN
ejpam-6012	177	28	,	,	PUNCT
ejpam-6012	177	29	z	z	PROPN
ejpam-6012	177	30	,	,	PUNCT
ejpam-6012	177	31	t	t	PROPN
ejpam-6012	177	32	)	)	PUNCT
ejpam-6012	178	1	=	=	SYM
ejpam-6012	178	2	−(−z	−(−z	PROPN
ejpam-6012	178	3	+	+	CCONJ
ejpam-6012	178	4	t)2	t)2	PROPN
ejpam-6012	178	5	2	2	NUM
ejpam-6012	178	6	+	+	NUM
ejpam-6012	178	7	c1(−z	c1(−z	PROPN
ejpam-6012	178	8	+	+	NUM
ejpam-6012	178	9	t	t	X
ejpam-6012	178	10	)	)	PUNCT
ejpam-6012	179	1	+	+	CCONJ
ejpam-6012	179	2	c2	c2	PROPN
ejpam-6012	179	3	+	+	CCONJ
ejpam-6012	179	4	y	y	PROPN
ejpam-6012	179	5	+	+	CCONJ
ejpam-6012	179	6	z2	z2	PROPN
ejpam-6012	179	7	2	2	NUM
ejpam-6012	179	8	,	,	PUNCT
ejpam-6012	179	9	(	(	PUNCT
ejpam-6012	179	10	35	35	NUM
ejpam-6012	179	11	)	)	PUNCT
ejpam-6012	179	12	where	where	SCONJ
ejpam-6012	179	13	c1	c1	PROPN
ejpam-6012	179	14	,	,	PUNCT
ejpam-6012	179	15	c2	c2	PROPN
ejpam-6012	179	16	are	be	AUX
ejpam-6012	179	17	any	any	DET
ejpam-6012	179	18	constants	constant	NOUN
ejpam-6012	179	19	.	.	PUNCT
ejpam-6012	180	1	case	case	NOUN
ejpam-6012	180	2	4	4	NUM
ejpam-6012	180	3	:	:	PUNCT
ejpam-6012	180	4	v2	v2	NOUN
ejpam-6012	180	5	+	+	CCONJ
ejpam-6012	180	6	v5	v5	PROPN
ejpam-6012	180	7	=	=	SYM
ejpam-6012	180	8	∂	∂	NUM
ejpam-6012	180	9	∂z	∂z	PROPN
ejpam-6012	181	1	+	+	CCONJ
ejpam-6012	181	2	z	z	PROPN
ejpam-6012	181	3	∂	∂	NUM
ejpam-6012	181	4	∂u	∂u	PROPN
ejpam-6012	181	5	·	·	PUNCT
ejpam-6012	181	6	in	in	ADP
ejpam-6012	181	7	the	the	DET
ejpam-6012	181	8	case	case	NOUN
ejpam-6012	181	9	of	of	ADP
ejpam-6012	181	10	the	the	DET
ejpam-6012	181	11	symmetry	symmetry	NOUN
ejpam-6012	181	12	generator	generator	NOUN
ejpam-6012	181	13	v2	v2	PROPN
ejpam-6012	181	14	+	+	CCONJ
ejpam-6012	181	15	v5	v5	PROPN
ejpam-6012	181	16	,	,	PUNCT
ejpam-6012	181	17	the	the	DET
ejpam-6012	181	18	lagrange	lagrange	NOUN
ejpam-6012	181	19	equation	equation	NOUN
ejpam-6012	181	20	can	can	AUX
ejpam-6012	181	21	be	be	AUX
ejpam-6012	181	22	expressed	express	VERB
ejpam-6012	181	23	as	as	ADP
ejpam-6012	181	24	shown	show	VERB
ejpam-6012	181	25	below	below	ADV
ejpam-6012	181	26	,	,	PUNCT
ejpam-6012	181	27	du	du	PROPN
ejpam-6012	181	28	z	z	PROPN
ejpam-6012	182	1	=	=	PUNCT
ejpam-6012	182	2	dt	dt	X
ejpam-6012	182	3	0	0	NUM
ejpam-6012	183	1	=	=	SYM
ejpam-6012	183	2	dz	dz	PRON
ejpam-6012	183	3	1	1	NUM
ejpam-6012	183	4	=	=	SYM
ejpam-6012	183	5	dy	dy	NOUN
ejpam-6012	183	6	0	0	NUM
ejpam-6012	184	1	=	=	SYM
ejpam-6012	184	2	dx	dx	PROPN
ejpam-6012	184	3	0	0	NUM
ejpam-6012	184	4	,	,	PUNCT
ejpam-6012	184	5	and	and	CCONJ
ejpam-6012	184	6	produces	produce	VERB
ejpam-6012	184	7	a	a	DET
ejpam-6012	184	8	similarity	similarity	NOUN
ejpam-6012	184	9	transformation	transformation	NOUN
ejpam-6012	184	10	,	,	PUNCT
ejpam-6012	184	11	u(x	u(x	PROPN
ejpam-6012	184	12	,	,	PUNCT
ejpam-6012	184	13	y	y	PROPN
ejpam-6012	184	14	,	,	PUNCT
ejpam-6012	184	15	z	z	PROPN
ejpam-6012	184	16	,	,	PUNCT
ejpam-6012	184	17	t	t	PROPN
ejpam-6012	184	18	)	)	PUNCT
ejpam-6012	185	1	=	=	SYM
ejpam-6012	185	2	z2	z2	NOUN
ejpam-6012	185	3	2	2	NUM
ejpam-6012	185	4	+	+	CCONJ
ejpam-6012	185	5	ϑ(α	ϑ(α	PROPN
ejpam-6012	185	6	,	,	PUNCT
ejpam-6012	185	7	β	β	X
ejpam-6012	185	8	,	,	PUNCT
ejpam-6012	185	9	γ	γ	PROPN
ejpam-6012	185	10	)	)	PUNCT
ejpam-6012	185	11	,	,	PUNCT
ejpam-6012	185	12	α	α	PROPN
ejpam-6012	185	13	=	=	SYM
ejpam-6012	185	14	t	t	PROPN
ejpam-6012	185	15	,	,	PUNCT
ejpam-6012	185	16	β	β	X
ejpam-6012	185	17	=	=	SYM
ejpam-6012	185	18	x	x	PROPN
ejpam-6012	185	19	,	,	PUNCT
ejpam-6012	185	20	γ	γ	X
ejpam-6012	185	21	=	=	SYM
ejpam-6012	185	22	y.	y.	NOUN
ejpam-6012	185	23	through	through	ADP
ejpam-6012	185	24	the	the	DET
ejpam-6012	185	25	application	application	NOUN
ejpam-6012	185	26	of	of	ADP
ejpam-6012	185	27	this	this	DET
ejpam-6012	185	28	transformation	transformation	NOUN
ejpam-6012	185	29	,	,	PUNCT
ejpam-6012	185	30	we	we	PRON
ejpam-6012	185	31	continue	continue	VERB
ejpam-6012	185	32	with	with	ADP
ejpam-6012	185	33	equation	equation	NOUN
ejpam-6012	185	34	(	(	PUNCT
ejpam-6012	185	35	4	4	NUM
ejpam-6012	185	36	)	)	PUNCT
ejpam-6012	185	37	in	in	ADP
ejpam-6012	185	38	its	its	PRON
ejpam-6012	185	39	reduced	reduce	VERB
ejpam-6012	185	40	form	form	NOUN
ejpam-6012	185	41	as	as	SCONJ
ejpam-6012	185	42	shown	show	VERB
ejpam-6012	185	43	below	below	ADP
ejpam-6012	185	44	,	,	PUNCT
ejpam-6012	185	45	2ϑββββ	2ϑββββ	NUM
ejpam-6012	185	46	+	+	CCONJ
ejpam-6012	185	47	3	3	NUM
ejpam-6012	185	48	(	(	PUNCT
ejpam-6012	185	49	−4ϑ2β	−4ϑ2β	NOUN
ejpam-6012	185	50	+	+	CCONJ
ejpam-6012	185	51	ϑγ	ϑγ	NOUN
ejpam-6012	185	52	)	)	PUNCT
ejpam-6012	185	53	ϑββ	ϑββ	VERB
ejpam-6012	186	1	+	+	CCONJ
ejpam-6012	187	1	3ϑβϑβγ	3ϑβϑβγ	NUM
ejpam-6012	187	2	−	−	NUM
ejpam-6012	187	3	2a+	2a+	NUM
ejpam-6012	187	4	2ϑαβ	2ϑαβ	NUM
ejpam-6012	187	5	=	=	SYM
ejpam-6012	187	6	0	0	PROPN
ejpam-6012	187	7	.	.	PUNCT
ejpam-6012	188	1	(	(	PUNCT
ejpam-6012	188	2	36	36	NUM
ejpam-6012	188	3	)	)	PUNCT
ejpam-6012	188	4	a.	a.	NOUN
ejpam-6012	188	5	hussain	hussain	PROPN
ejpam-6012	188	6	et	et	PROPN
ejpam-6012	188	7	al	al	PROPN
ejpam-6012	188	8	.	.	PUNCT
ejpam-6012	188	9	/	/	SYM
ejpam-6012	188	10	eur	eur	PROPN
ejpam-6012	188	11	.	.	PUNCT
ejpam-6012	189	1	j.	j.	PROPN
ejpam-6012	189	2	pure	pure	PROPN
ejpam-6012	189	3	appl	appl	PROPN
ejpam-6012	189	4	.	.	PROPN
ejpam-6012	189	5	math	math	PROPN
ejpam-6012	189	6	,	,	PUNCT
ejpam-6012	189	7	18	18	NUM
ejpam-6012	189	8	(	(	PUNCT
ejpam-6012	189	9	3	3	NUM
ejpam-6012	189	10	)	)	PUNCT
ejpam-6012	189	11	(	(	PUNCT
ejpam-6012	189	12	2025	2025	NUM
ejpam-6012	189	13	)	)	PUNCT
ejpam-6012	189	14	,	,	PUNCT
ejpam-6012	189	15	6012	6012	NUM
ejpam-6012	189	16	10	10	NUM
ejpam-6012	189	17	of	of	ADP
ejpam-6012	189	18	20	20	NUM
ejpam-6012	189	19	the	the	DET
ejpam-6012	189	20	application	application	NOUN
ejpam-6012	189	21	of	of	ADP
ejpam-6012	189	22	the	the	DET
ejpam-6012	189	23	lie	lie	NOUN
ejpam-6012	189	24	symmetry	symmetry	NOUN
ejpam-6012	189	25	method	method	NOUN
ejpam-6012	189	26	to	to	ADP
ejpam-6012	189	27	this	this	PRON
ejpam-6012	189	28	(	(	PUNCT
ejpam-6012	189	29	2	2	NUM
ejpam-6012	189	30	+	+	NOUN
ejpam-6012	189	31	1	1	NUM
ejpam-6012	189	32	)	)	PUNCT
ejpam-6012	189	33	dimensional	dimensional	ADJ
ejpam-6012	189	34	pde	pde	NOUN
ejpam-6012	189	35	unveils	unveil	VERB
ejpam-6012	189	36	additional	additional	ADJ
ejpam-6012	189	37	infinitesimals	infinitesimal	NOUN
ejpam-6012	189	38	ϕα	ϕα	ADV
ejpam-6012	189	39	=	=	SYM
ejpam-6012	189	40	c1α+	c1α+	PROPN
ejpam-6012	189	41	c2	c2	PROPN
ejpam-6012	189	42	,	,	PUNCT
ejpam-6012	189	43	ϕβ	ϕβ	ADP
ejpam-6012	189	44	=	=	SYM
ejpam-6012	189	45	3f1(α	3f1(α	PROPN
ejpam-6012	189	46	)	)	PUNCT
ejpam-6012	189	47	2	2	NUM
ejpam-6012	190	1	+	+	CCONJ
ejpam-6012	190	2	(	(	PUNCT
ejpam-6012	190	3	−16aαγ	−16aαγ	NOUN
ejpam-6012	190	4	+	+	CCONJ
ejpam-6012	190	5	β	β	X
ejpam-6012	190	6	)	)	PUNCT
ejpam-6012	190	7	c1	c1	NOUN
ejpam-6012	190	8	3	3	NUM
ejpam-6012	190	9	−	−	NOUN
ejpam-6012	190	10	8c3γ	8c3γ	NUM
ejpam-6012	190	11	3	3	NUM
ejpam-6012	190	12	+	+	CCONJ
ejpam-6012	190	13	c5	c5	PROPN
ejpam-6012	190	14	,	,	PUNCT
ejpam-6012	190	15	ϕγ	ϕγ	ADP
ejpam-6012	190	16	=	=	SYM
ejpam-6012	190	17	(	(	PUNCT
ejpam-6012	190	18	3aα2	3aα2	NUM
ejpam-6012	190	19	+	+	CCONJ
ejpam-6012	190	20	2γ	2γ	NOUN
ejpam-6012	190	21	)	)	PUNCT
ejpam-6012	190	22	c1	c1	NOUN
ejpam-6012	190	23	3	3	NUM
ejpam-6012	190	24	+	+	CCONJ
ejpam-6012	190	25	c3α+	c3α+	PROPN
ejpam-6012	190	26	c4	c4	NOUN
ejpam-6012	190	27	,	,	PUNCT
ejpam-6012	190	28	ςϑ	ςϑ	NOUN
ejpam-6012	190	29	=	=	SYM
ejpam-6012	190	30	f1αγ	f1αγ	X
ejpam-6012	190	31	+	+	CCONJ
ejpam-6012	190	32	f2(α	f2(α	NOUN
ejpam-6012	190	33	)	)	PUNCT
ejpam-6012	190	34	+	+	CCONJ
ejpam-6012	190	35	2	2	NUM
ejpam-6012	190	36	(	(	PUNCT
ejpam-6012	190	37	2aαc1	2aαc1	NUM
ejpam-6012	190	38	+	+	CCONJ
ejpam-6012	190	39	c3)β	c3)β	VERB
ejpam-6012	190	40	3	3	NUM
ejpam-6012	190	41	−	−	PROPN
ejpam-6012	190	42	16c1a	16c1a	NUM
ejpam-6012	190	43	γ	γ	NOUN
ejpam-6012	190	44	2	2	NUM
ejpam-6012	190	45	9	9	NUM
ejpam-6012	190	46	.	.	PUNCT
ejpam-6012	191	1	(	(	PUNCT
ejpam-6012	191	2	37	37	NUM
ejpam-6012	191	3	)	)	PUNCT
ejpam-6012	191	4	case	case	NOUN
ejpam-6012	191	5	4.1	4.1	NUM
ejpam-6012	191	6	:	:	PUNCT
ejpam-6012	191	7	for	for	ADP
ejpam-6012	191	8	c4	c4	NOUN
ejpam-6012	191	9	=	=	SYM
ejpam-6012	191	10	1	1	NUM
ejpam-6012	191	11	,	,	PUNCT
ejpam-6012	191	12	the	the	DET
ejpam-6012	191	13	symmetry	symmetry	NOUN
ejpam-6012	191	14	generator	generator	PROPN
ejpam-6012	191	15	∂	∂	PROPN
ejpam-6012	191	16	∂γ	∂γ	PROPN
ejpam-6012	191	17	leads	lead	VERB
ejpam-6012	191	18	to	to	ADP
ejpam-6012	191	19	characteristic	characteristic	ADJ
ejpam-6012	191	20	form	form	NOUN
ejpam-6012	191	21	dϑ	dϑ	NOUN
ejpam-6012	191	22	0	0	PUNCT
ejpam-6012	192	1	=	=	SYM
ejpam-6012	192	2	dα	dα	ADP
ejpam-6012	192	3	0	0	NUM
ejpam-6012	192	4	=	=	SYM
ejpam-6012	193	1	dβ	dβ	ADP
ejpam-6012	193	2	0	0	NUM
ejpam-6012	193	3	=	=	SYM
ejpam-6012	193	4	dγ	dγ	ADP
ejpam-6012	193	5	1	1	NUM
ejpam-6012	193	6	,	,	PUNCT
ejpam-6012	193	7	which	which	PRON
ejpam-6012	193	8	yields	yield	VERB
ejpam-6012	193	9	variables	variable	NOUN
ejpam-6012	193	10	ϑ(α	ϑ(α	PROPN
ejpam-6012	193	11	,	,	PUNCT
ejpam-6012	193	12	β	β	X
ejpam-6012	193	13	,	,	PUNCT
ejpam-6012	193	14	γ	γ	NOUN
ejpam-6012	193	15	)	)	PUNCT
ejpam-6012	193	16	=	=	SYM
ejpam-6012	193	17	p(k	p(k	NOUN
ejpam-6012	193	18	,	,	PUNCT
ejpam-6012	193	19	τ	τ	X
ejpam-6012	193	20	)	)	PUNCT
ejpam-6012	193	21	,	,	PUNCT
ejpam-6012	193	22	where	where	SCONJ
ejpam-6012	193	23	k	k	PROPN
ejpam-6012	193	24	=	=	SYM
ejpam-6012	193	25	α	α	PROPN
ejpam-6012	193	26	,	,	PUNCT
ejpam-6012	193	27	τ	τ	X
ejpam-6012	193	28	=	=	SYM
ejpam-6012	193	29	β	β	X
ejpam-6012	193	30	.	.	PUNCT
ejpam-6012	194	1	applying	apply	VERB
ejpam-6012	194	2	these	these	DET
ejpam-6012	194	3	invariants	invariant	NOUN
ejpam-6012	194	4	,	,	PUNCT
ejpam-6012	194	5	eq	eq	X
ejpam-6012	194	6	(	(	PUNCT
ejpam-6012	194	7	36	36	NUM
ejpam-6012	194	8	)	)	PUNCT
ejpam-6012	194	9	transforms	transform	VERB
ejpam-6012	194	10	into	into	ADP
ejpam-6012	194	11	the	the	DET
ejpam-6012	194	12	following	follow	VERB
ejpam-6012	194	13	(	(	PUNCT
ejpam-6012	194	14	1	1	NUM
ejpam-6012	194	15	+	+	NOUN
ejpam-6012	194	16	1	1	NUM
ejpam-6012	194	17	)	)	PUNCT
ejpam-6012	194	18	pde	pde	NOUN
ejpam-6012	194	19	2pττττ	2pττττ	NUM
ejpam-6012	194	20	−	−	NOUN
ejpam-6012	194	21	12pττp	12pττp	NUM
ejpam-6012	194	22	2	2	NUM
ejpam-6012	194	23	τ	τ	NOUN
ejpam-6012	194	24	−	−	NUM
ejpam-6012	194	25	2a+	2a+	NUM
ejpam-6012	194	26	2pkτ	2pkτ	NUM
ejpam-6012	194	27	=	=	SYM
ejpam-6012	195	1	0	0	PROPN
ejpam-6012	195	2	.	.	PUNCT
ejpam-6012	196	1	(	(	PUNCT
ejpam-6012	196	2	38	38	NUM
ejpam-6012	196	3	)	)	PUNCT
ejpam-6012	196	4	the	the	DET
ejpam-6012	196	5	application	application	NOUN
ejpam-6012	196	6	of	of	ADP
ejpam-6012	196	7	the	the	DET
ejpam-6012	196	8	lie	lie	NOUN
ejpam-6012	196	9	symmetry	symmetry	NOUN
ejpam-6012	196	10	method	method	NOUN
ejpam-6012	196	11	to	to	ADP
ejpam-6012	196	12	this	this	PRON
ejpam-6012	196	13	(	(	PUNCT
ejpam-6012	196	14	1	1	NUM
ejpam-6012	196	15	+	+	NOUN
ejpam-6012	196	16	1	1	NUM
ejpam-6012	196	17	)	)	PUNCT
ejpam-6012	196	18	dimensional	dimensional	ADJ
ejpam-6012	196	19	pde	pde	NOUN
ejpam-6012	196	20	unveils	unveil	VERB
ejpam-6012	196	21	additional	additional	ADJ
ejpam-6012	196	22	infinitesimals	infinitesimal	NOUN
ejpam-6012	196	23	ϕk	ϕk	NOUN
ejpam-6012	196	24	=	=	SYM
ejpam-6012	196	25	c1	c1	PROPN
ejpam-6012	196	26	,	,	PUNCT
ejpam-6012	196	27	ϕτ	ϕτ	ADP
ejpam-6012	196	28	=	=	PROPN
ejpam-6012	196	29	c2	c2	PROPN
ejpam-6012	196	30	,	,	PUNCT
ejpam-6012	196	31	ςp	ςp	PROPN
ejpam-6012	196	32	=	=	SYM
ejpam-6012	196	33	f1(k	f1(k	PROPN
ejpam-6012	196	34	)	)	PUNCT
ejpam-6012	196	35	.	.	PUNCT
ejpam-6012	197	1	(	(	PUNCT
ejpam-6012	197	2	39	39	NUM
ejpam-6012	197	3	)	)	PUNCT
ejpam-6012	197	4	case	case	NOUN
ejpam-6012	197	5	4.1.1	4.1.1	NUM
ejpam-6012	197	6	:	:	PUNCT
ejpam-6012	197	7	for	for	ADP
ejpam-6012	197	8	c1	c1	NOUN
ejpam-6012	197	9	=	=	PUNCT
ejpam-6012	197	10	1	1	NUM
ejpam-6012	197	11	and	and	CCONJ
ejpam-6012	197	12	the	the	DET
ejpam-6012	197	13	symmetry	symmetry	NOUN
ejpam-6012	197	14	generator	generator	PROPN
ejpam-6012	197	15	∂	∂	NOUN
ejpam-6012	197	16	∂k	∂k	PRON
ejpam-6012	197	17	leads	lead	VERB
ejpam-6012	197	18	to	to	ADP
ejpam-6012	197	19	characteristic	characteristic	ADJ
ejpam-6012	197	20	form	form	NOUN
ejpam-6012	197	21	dp	dp	NOUN
ejpam-6012	197	22	0	0	NUM
ejpam-6012	198	1	=	=	SYM
ejpam-6012	198	2	dk	dk	PRON
ejpam-6012	198	3	1	1	NUM
ejpam-6012	198	4	=	=	SYM
ejpam-6012	198	5	dτ	dτ	NOUN
ejpam-6012	198	6	0	0	NUM
ejpam-6012	198	7	,	,	PUNCT
ejpam-6012	198	8	which	which	PRON
ejpam-6012	198	9	gives	give	VERB
ejpam-6012	198	10	rise	rise	NOUN
ejpam-6012	198	11	to	to	ADP
ejpam-6012	198	12	the	the	DET
ejpam-6012	198	13	invariant	invariant	ADJ
ejpam-6012	198	14	variables	variable	NOUN
ejpam-6012	198	15	p(k	p(k	NOUN
ejpam-6012	198	16	,	,	PUNCT
ejpam-6012	198	17	τ	τ	X
ejpam-6012	198	18	)	)	PUNCT
ejpam-6012	198	19	=	=	SYM
ejpam-6012	198	20	h(s	h(s	PROPN
ejpam-6012	198	21	)	)	PUNCT
ejpam-6012	198	22	where	where	SCONJ
ejpam-6012	198	23	,	,	PUNCT
ejpam-6012	198	24	s	s	VERB
ejpam-6012	198	25	=	=	X
ejpam-6012	198	26	τ	τ	X
ejpam-6012	198	27	.	.	PUNCT
ejpam-6012	199	1	applying	apply	VERB
ejpam-6012	199	2	these	these	DET
ejpam-6012	199	3	invariants	invariant	NOUN
ejpam-6012	199	4	,	,	PUNCT
ejpam-6012	199	5	eq	eq	X
ejpam-6012	199	6	(	(	PUNCT
ejpam-6012	199	7	38	38	NUM
ejpam-6012	199	8	)	)	PUNCT
ejpam-6012	199	9	transforms	transform	VERB
ejpam-6012	199	10	into	into	ADP
ejpam-6012	199	11	the	the	DET
ejpam-6012	199	12	ode	ode	PROPN
ejpam-6012	199	13	h(iv	h(iv	NOUN
ejpam-6012	199	14	)	)	PUNCT
ejpam-6012	199	15	−	−	PROPN
ejpam-6012	199	16	6h′	6h′	NUM
ejpam-6012	199	17	2	2	NUM
ejpam-6012	199	18	h′′	h′′	NOUN
ejpam-6012	199	19	−	−	PROPN
ejpam-6012	199	20	a	a	DET
ejpam-6012	199	21	=	=	NOUN
ejpam-6012	199	22	0	0	NUM
ejpam-6012	199	23	.	.	PUNCT
ejpam-6012	200	1	(	(	PUNCT
ejpam-6012	200	2	40	40	NUM
ejpam-6012	200	3	)	)	PUNCT
ejpam-6012	200	4	eq	eq	NOUN
ejpam-6012	200	5	(	(	PUNCT
ejpam-6012	200	6	40	40	NUM
ejpam-6012	200	7	)	)	PUNCT
ejpam-6012	200	8	admits	admit	VERB
ejpam-6012	200	9	a	a	DET
ejpam-6012	200	10	lagrangian	lagrangian	ADJ
ejpam-6012	200	11	l	l	NOUN
ejpam-6012	201	1	=	=	SYM
ejpam-6012	201	2	h′′2	h′′2	PROPN
ejpam-6012	201	3	2	2	NUM
ejpam-6012	201	4	+	+	NOUN
ejpam-6012	201	5	h′4	h′4	NOUN
ejpam-6012	201	6	2	2	NUM
ejpam-6012	201	7	−	−	NOUN
ejpam-6012	201	8	ah	ah	INTJ
ejpam-6012	201	9	,	,	PUNCT
ejpam-6012	201	10	which	which	PRON
ejpam-6012	201	11	in	in	ADP
ejpam-6012	201	12	turn	turn	NOUN
ejpam-6012	201	13	exhibits	exhibit	VERB
ejpam-6012	201	14	variational	variational	ADJ
ejpam-6012	201	15	symmetries	symmetry	NOUN
ejpam-6012	201	16	given	give	VERB
ejpam-6012	201	17	by	by	ADP
ejpam-6012	201	18	∂	∂	NUM
ejpam-6012	201	19	∂s	∂s	PROPN
ejpam-6012	201	20	,	,	PUNCT
ejpam-6012	201	21	∂	∂	NUM
ejpam-6012	201	22	∂h	∂h	PROPN
ejpam-6012	201	23	·	·	PUNCT
ejpam-6012	201	24	(	(	PUNCT
ejpam-6012	201	25	41	41	NUM
ejpam-6012	201	26	)	)	PUNCT
ejpam-6012	201	27	for	for	ADP
ejpam-6012	201	28	∂	∂	NOUN
ejpam-6012	201	29	∂h	∂h	PROPN
ejpam-6012	201	30	,	,	PUNCT
ejpam-6012	201	31	the	the	DET
ejpam-6012	201	32	corresponding	corresponding	ADJ
ejpam-6012	201	33	noether	noether	ADJ
ejpam-6012	201	34	first	first	ADJ
ejpam-6012	201	35	integral	integral	ADJ
ejpam-6012	201	36	is	be	AUX
ejpam-6012	201	37	i	i	X
ejpam-6012	201	38	=	=	PUNCT
ejpam-6012	201	39	2h′	2h′	NUM
ejpam-6012	201	40	3	3	NUM
ejpam-6012	201	41	+	+	CCONJ
ejpam-6012	201	42	as	as	ADP
ejpam-6012	201	43	.	.	PUNCT
ejpam-6012	202	1	(	(	PUNCT
ejpam-6012	202	2	42	42	NUM
ejpam-6012	202	3	)	)	PUNCT
ejpam-6012	202	4	a.	a.	NOUN
ejpam-6012	202	5	hussain	hussain	PROPN
ejpam-6012	202	6	et	et	PROPN
ejpam-6012	202	7	al	al	PROPN
ejpam-6012	202	8	.	.	PUNCT
ejpam-6012	202	9	/	/	SYM
ejpam-6012	202	10	eur	eur	PROPN
ejpam-6012	202	11	.	.	PUNCT
ejpam-6012	203	1	j.	j.	PROPN
ejpam-6012	203	2	pure	pure	PROPN
ejpam-6012	203	3	appl	appl	PROPN
ejpam-6012	203	4	.	.	PROPN
ejpam-6012	203	5	math	math	PROPN
ejpam-6012	203	6	,	,	PUNCT
ejpam-6012	203	7	18	18	NUM
ejpam-6012	203	8	(	(	PUNCT
ejpam-6012	203	9	3	3	NUM
ejpam-6012	203	10	)	)	PUNCT
ejpam-6012	203	11	(	(	PUNCT
ejpam-6012	203	12	2025	2025	NUM
ejpam-6012	203	13	)	)	PUNCT
ejpam-6012	203	14	,	,	PUNCT
ejpam-6012	203	15	6012	6012	NUM
ejpam-6012	203	16	11	11	NUM
ejpam-6012	203	17	of	of	ADP
ejpam-6012	203	18	20	20	NUM
ejpam-6012	203	19	now	now	ADV
ejpam-6012	203	20	,	,	PUNCT
ejpam-6012	203	21	dsi	dsi	ADJ
ejpam-6012	203	22	=	=	SYM
ejpam-6012	203	23	0	0	NUM
ejpam-6012	203	24	implies	imply	VERB
ejpam-6012	203	25	i	i	NOUN
ejpam-6012	203	26	=	=	SYM
ejpam-6012	203	27	c	c	X
ejpam-6012	203	28	,	,	PUNCT
ejpam-6012	203	29	that	that	PRON
ejpam-6012	203	30	is	be	AUX
ejpam-6012	203	31	2h′	2h′	NUM
ejpam-6012	203	32	3	3	NUM
ejpam-6012	203	33	+	+	CCONJ
ejpam-6012	203	34	as	as	ADP
ejpam-6012	203	35	=	=	NOUN
ejpam-6012	203	36	c	c	X
ejpam-6012	203	37	,	,	PUNCT
ejpam-6012	203	38	(	(	PUNCT
ejpam-6012	203	39	43	43	NUM
ejpam-6012	203	40	)	)	PUNCT
ejpam-6012	203	41	where	where	SCONJ
ejpam-6012	203	42	c	c	PROPN
ejpam-6012	203	43	denotes	denote	VERB
ejpam-6012	203	44	a	a	DET
ejpam-6012	203	45	constant	constant	ADJ
ejpam-6012	203	46	.	.	PUNCT
ejpam-6012	204	1	the	the	DET
ejpam-6012	204	2	solution	solution	NOUN
ejpam-6012	204	3	of	of	ADP
ejpam-6012	204	4	equation	equation	NOUN
ejpam-6012	204	5	(	(	PUNCT
ejpam-6012	204	6	43	43	NUM
ejpam-6012	204	7	)	)	PUNCT
ejpam-6012	204	8	is	be	AUX
ejpam-6012	204	9	h(s	h(	NOUN
ejpam-6012	204	10	)	)	PUNCT
ejpam-6012	205	1	=	=	SYM
ejpam-6012	205	2	3	3	NUM
ejpam-6012	205	3	ι	ι	PROPN
ejpam-6012	205	4	(	(	PUNCT
ejpam-6012	205	5	as−	as−	X
ejpam-6012	205	6	c	c	NOUN
ejpam-6012	205	7	)	)	PUNCT
ejpam-6012	205	8	(	(	PUNCT
ejpam-6012	205	9	ι±	ι±	VERB
ejpam-6012	205	10	√	√	NUM
ejpam-6012	205	11	3	3	NUM
ejpam-6012	205	12	)	)	PUNCT
ejpam-6012	205	13	(	(	PUNCT
ejpam-6012	205	14	−4as+	−4as+	PROPN
ejpam-6012	205	15	4c	4c	NOUN
ejpam-6012	205	16	)	)	PUNCT
ejpam-6012	205	17	1	1	NUM
ejpam-6012	205	18	3	3	NUM
ejpam-6012	205	19	16a	16a	NOUN
ejpam-6012	205	20	,	,	PUNCT
ejpam-6012	205	21	(	(	PUNCT
ejpam-6012	205	22	44	44	NUM
ejpam-6012	205	23	)	)	PUNCT
ejpam-6012	205	24	this	this	PRON
ejpam-6012	205	25	gives	give	VERB
ejpam-6012	205	26	,	,	PUNCT
ejpam-6012	205	27	p(k	p(k	NOUN
ejpam-6012	205	28	,	,	PUNCT
ejpam-6012	205	29	τ	τ	X
ejpam-6012	205	30	)	)	PUNCT
ejpam-6012	205	31	=	=	SYM
ejpam-6012	205	32	3	3	NUM
ejpam-6012	205	33	ι	ι	PROPN
ejpam-6012	205	34	(	(	PUNCT
ejpam-6012	205	35	aτ	aτ	ADV
ejpam-6012	205	36	−	−	PROPN
ejpam-6012	205	37	c	c	NOUN
ejpam-6012	205	38	)	)	PUNCT
ejpam-6012	205	39	(	(	PUNCT
ejpam-6012	205	40	ι±	ι±	VERB
ejpam-6012	205	41	√	√	NUM
ejpam-6012	205	42	3	3	NUM
ejpam-6012	205	43	)	)	PUNCT
ejpam-6012	205	44	(	(	PUNCT
ejpam-6012	205	45	−4aτ	−4aτ	ADJ
ejpam-6012	205	46	+	+	CCONJ
ejpam-6012	205	47	4c	4c	NOUN
ejpam-6012	205	48	)	)	PUNCT
ejpam-6012	205	49	1	1	NUM
ejpam-6012	205	50	3	3	NUM
ejpam-6012	205	51	16a	16a	NOUN
ejpam-6012	205	52	,	,	PUNCT
ejpam-6012	205	53	(	(	PUNCT
ejpam-6012	205	54	45	45	NUM
ejpam-6012	205	55	)	)	PUNCT
ejpam-6012	205	56	which	which	PRON
ejpam-6012	205	57	yields	yield	VERB
ejpam-6012	205	58	,	,	PUNCT
ejpam-6012	205	59	ϑ(α	ϑ(α	PROPN
ejpam-6012	205	60	,	,	PUNCT
ejpam-6012	205	61	β	β	X
ejpam-6012	205	62	,	,	PUNCT
ejpam-6012	205	63	γ	γ	NOUN
ejpam-6012	205	64	)	)	PUNCT
ejpam-6012	205	65	=	=	SYM
ejpam-6012	205	66	3	3	NUM
ejpam-6012	205	67	ι	ι	PROPN
ejpam-6012	205	68	(	(	PUNCT
ejpam-6012	205	69	aβ	aβ	INTJ
ejpam-6012	205	70	−	−	PROPN
ejpam-6012	205	71	c	c	NOUN
ejpam-6012	205	72	)	)	PUNCT
ejpam-6012	205	73	(	(	PUNCT
ejpam-6012	205	74	ι±	ι±	VERB
ejpam-6012	205	75	√	√	NUM
ejpam-6012	205	76	3	3	NUM
ejpam-6012	205	77	)	)	PUNCT
ejpam-6012	205	78	(	(	PUNCT
ejpam-6012	205	79	−4aβ	−4aβ	NOUN
ejpam-6012	205	80	+	+	NUM
ejpam-6012	205	81	4c	4c	NOUN
ejpam-6012	205	82	)	)	PUNCT
ejpam-6012	205	83	1	1	NUM
ejpam-6012	205	84	3	3	NUM
ejpam-6012	205	85	16a	16a	NOUN
ejpam-6012	205	86	.	.	PUNCT
ejpam-6012	206	1	(	(	PUNCT
ejpam-6012	206	2	46	46	NUM
ejpam-6012	206	3	)	)	PUNCT
ejpam-6012	206	4	as	as	ADP
ejpam-6012	206	5	a	a	DET
ejpam-6012	206	6	outcome	outcome	NOUN
ejpam-6012	206	7	,	,	PUNCT
ejpam-6012	206	8	the	the	DET
ejpam-6012	206	9	invariant	invariant	ADJ
ejpam-6012	206	10	solution	solution	NOUN
ejpam-6012	206	11	for	for	ADP
ejpam-6012	206	12	the	the	DET
ejpam-6012	206	13	(	(	PUNCT
ejpam-6012	206	14	3	3	NUM
ejpam-6012	206	15	+	+	NOUN
ejpam-6012	206	16	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	206	17	model	model	NOUN
ejpam-6012	206	18	(	(	PUNCT
ejpam-6012	206	19	4	4	NUM
ejpam-6012	206	20	)	)	PUNCT
ejpam-6012	206	21	is	be	AUX
ejpam-6012	206	22	formulated	formulate	VERB
ejpam-6012	206	23	as	as	SCONJ
ejpam-6012	206	24	follows	follow	VERB
ejpam-6012	206	25	u(x	u(x	NOUN
ejpam-6012	206	26	,	,	PUNCT
ejpam-6012	206	27	y	y	PROPN
ejpam-6012	206	28	,	,	PUNCT
ejpam-6012	206	29	z	z	PROPN
ejpam-6012	206	30	,	,	PUNCT
ejpam-6012	206	31	t	t	PROPN
ejpam-6012	206	32	)	)	PUNCT
ejpam-6012	206	33	=	=	SYM
ejpam-6012	206	34	z2	z2	NOUN
ejpam-6012	206	35	2	2	NUM
ejpam-6012	207	1	+	+	CCONJ
ejpam-6012	207	2	3	3	NUM
ejpam-6012	207	3	ι	ι	PROPN
ejpam-6012	207	4	(	(	PUNCT
ejpam-6012	207	5	ax−	ax−	NOUN
ejpam-6012	207	6	c	c	NOUN
ejpam-6012	207	7	)	)	PUNCT
ejpam-6012	207	8	(	(	PUNCT
ejpam-6012	207	9	ι±	ι±	VERB
ejpam-6012	207	10	√	√	NUM
ejpam-6012	207	11	3	3	NUM
ejpam-6012	207	12	)	)	PUNCT
ejpam-6012	207	13	(	(	PUNCT
ejpam-6012	207	14	−4ax+	−4ax+	PROPN
ejpam-6012	207	15	4c	4c	NOUN
ejpam-6012	207	16	)	)	PUNCT
ejpam-6012	207	17	1	1	NUM
ejpam-6012	207	18	3	3	NUM
ejpam-6012	207	19	16a	16a	NOUN
ejpam-6012	207	20	,	,	PUNCT
ejpam-6012	207	21	(	(	PUNCT
ejpam-6012	207	22	47	47	NUM
ejpam-6012	207	23	)	)	PUNCT
ejpam-6012	207	24	where	where	SCONJ
ejpam-6012	207	25	c	c	PROPN
ejpam-6012	207	26	denotes	denote	VERB
ejpam-6012	207	27	a	a	DET
ejpam-6012	207	28	constant	constant	ADJ
ejpam-6012	207	29	.	.	PUNCT
ejpam-6012	208	1	case	case	NOUN
ejpam-6012	208	2	5	5	NUM
ejpam-6012	208	3	:	:	PUNCT
ejpam-6012	208	4	v3	v3	PROPN
ejpam-6012	208	5	=	=	SYM
ejpam-6012	208	6	∂	∂	NUM
ejpam-6012	208	7	∂t	∂t	PROPN
ejpam-6012	208	8	.	.	PUNCT
ejpam-6012	209	1	in	in	ADP
ejpam-6012	209	2	the	the	DET
ejpam-6012	209	3	case	case	NOUN
ejpam-6012	209	4	of	of	ADP
ejpam-6012	209	5	the	the	DET
ejpam-6012	209	6	symmetry	symmetry	PROPN
ejpam-6012	209	7	generator	generator	PROPN
ejpam-6012	209	8	v3	v3	PROPN
ejpam-6012	209	9	,	,	PUNCT
ejpam-6012	209	10	the	the	DET
ejpam-6012	209	11	lagrange	lagrange	NOUN
ejpam-6012	209	12	equation	equation	NOUN
ejpam-6012	209	13	can	can	AUX
ejpam-6012	209	14	be	be	AUX
ejpam-6012	209	15	expressed	express	VERB
ejpam-6012	209	16	as	as	SCONJ
ejpam-6012	209	17	shown	show	VERB
ejpam-6012	209	18	below	below	ADP
ejpam-6012	209	19	,	,	PUNCT
ejpam-6012	209	20	dt	dt	PROPN
ejpam-6012	210	1	1	1	NUM
ejpam-6012	210	2	=	=	SYM
ejpam-6012	210	3	dz	dz	X
ejpam-6012	210	4	0	0	PUNCT
ejpam-6012	210	5	=	=	SYM
ejpam-6012	210	6	dy	dy	NOUN
ejpam-6012	210	7	0	0	NUM
ejpam-6012	211	1	=	=	SYM
ejpam-6012	211	2	dx	dx	PROPN
ejpam-6012	211	3	0	0	PUNCT
ejpam-6012	212	1	=	=	SYM
ejpam-6012	212	2	du	du	X
ejpam-6012	212	3	0	0	NUM
ejpam-6012	212	4	,	,	PUNCT
ejpam-6012	212	5	and	and	CCONJ
ejpam-6012	212	6	produces	produce	VERB
ejpam-6012	212	7	a	a	DET
ejpam-6012	212	8	similarity	similarity	NOUN
ejpam-6012	212	9	transformation	transformation	NOUN
ejpam-6012	212	10	,	,	PUNCT
ejpam-6012	212	11	u(x	u(x	PROPN
ejpam-6012	212	12	,	,	PUNCT
ejpam-6012	212	13	y	y	PROPN
ejpam-6012	212	14	,	,	PUNCT
ejpam-6012	212	15	z	z	PROPN
ejpam-6012	212	16	,	,	PUNCT
ejpam-6012	212	17	t	t	PROPN
ejpam-6012	212	18	)	)	PUNCT
ejpam-6012	212	19	=	=	SYM
ejpam-6012	212	20	ϑ(α	ϑ(α	PROPN
ejpam-6012	212	21	,	,	PUNCT
ejpam-6012	212	22	β	β	X
ejpam-6012	212	23	,	,	PUNCT
ejpam-6012	212	24	γ	γ	PROPN
ejpam-6012	212	25	)	)	PUNCT
ejpam-6012	212	26	,	,	PUNCT
ejpam-6012	212	27	α	α	X
ejpam-6012	212	28	=	=	SYM
ejpam-6012	212	29	x	x	PROPN
ejpam-6012	212	30	,	,	PUNCT
ejpam-6012	212	31	β	β	X
ejpam-6012	212	32	=	=	SYM
ejpam-6012	212	33	y	y	PROPN
ejpam-6012	212	34	,	,	PUNCT
ejpam-6012	212	35	γ	γ	X
ejpam-6012	212	36	=	=	SYM
ejpam-6012	212	37	z.	z.	PROPN
ejpam-6012	212	38	through	through	ADP
ejpam-6012	212	39	the	the	DET
ejpam-6012	212	40	application	application	NOUN
ejpam-6012	212	41	of	of	ADP
ejpam-6012	212	42	this	this	DET
ejpam-6012	212	43	transformation	transformation	NOUN
ejpam-6012	212	44	,	,	PUNCT
ejpam-6012	212	45	we	we	PRON
ejpam-6012	212	46	continue	continue	VERB
ejpam-6012	212	47	with	with	ADP
ejpam-6012	212	48	equation	equation	NOUN
ejpam-6012	212	49	(	(	PUNCT
ejpam-6012	212	50	4	4	NUM
ejpam-6012	212	51	)	)	PUNCT
ejpam-6012	212	52	in	in	ADP
ejpam-6012	212	53	its	its	PRON
ejpam-6012	212	54	reduced	reduce	VERB
ejpam-6012	212	55	form	form	NOUN
ejpam-6012	212	56	as	as	SCONJ
ejpam-6012	212	57	shown	show	VERB
ejpam-6012	212	58	below	below	ADP
ejpam-6012	212	59	,	,	PUNCT
ejpam-6012	212	60	2ϑαααα	2ϑαααα	PROPN
ejpam-6012	212	61	+	+	CCONJ
ejpam-6012	212	62	(	(	PUNCT
ejpam-6012	212	63	−12ϑ2α	−12ϑ2α	VERB
ejpam-6012	213	1	+	+	CCONJ
ejpam-6012	214	1	3ϑβ)ϑαα	3ϑβ)ϑαα	NUM
ejpam-6012	214	2	−	−	PROPN
ejpam-6012	214	3	2aϑγγ	2aϑγγ	NUM
ejpam-6012	214	4	+	+	PROPN
ejpam-6012	214	5	3ϑαϑαβ	3ϑαϑαβ	NUM
ejpam-6012	214	6	=	=	SYM
ejpam-6012	214	7	0	0	NUM
ejpam-6012	214	8	,	,	PUNCT
ejpam-6012	214	9	(	(	PUNCT
ejpam-6012	214	10	48	48	NUM
ejpam-6012	214	11	)	)	PUNCT
ejpam-6012	214	12	the	the	DET
ejpam-6012	214	13	application	application	NOUN
ejpam-6012	214	14	of	of	ADP
ejpam-6012	214	15	the	the	DET
ejpam-6012	214	16	lie	lie	NOUN
ejpam-6012	214	17	symmetry	symmetry	NOUN
ejpam-6012	214	18	method	method	NOUN
ejpam-6012	214	19	to	to	ADP
ejpam-6012	214	20	this	this	PRON
ejpam-6012	214	21	(	(	PUNCT
ejpam-6012	214	22	2	2	NUM
ejpam-6012	214	23	+	+	NOUN
ejpam-6012	214	24	1	1	NUM
ejpam-6012	214	25	)	)	PUNCT
ejpam-6012	214	26	dimensional	dimensional	ADJ
ejpam-6012	214	27	pde	pde	NOUN
ejpam-6012	214	28	unveils	unveil	VERB
ejpam-6012	214	29	additional	additional	ADJ
ejpam-6012	214	30	infinitesimals	infinitesimal	NOUN
ejpam-6012	214	31	ϕα	ϕα	ADV
ejpam-6012	214	32	=	=	SYM
ejpam-6012	214	33	c4α+	c4α+	NOUN
ejpam-6012	214	34	c3	c3	NOUN
ejpam-6012	214	35	,	,	PUNCT
ejpam-6012	214	36	ϕβ	ϕβ	ADP
ejpam-6012	214	37	=	=	SYM
ejpam-6012	214	38	2c4β	2c4β	PROPN
ejpam-6012	214	39	+	+	CCONJ
ejpam-6012	214	40	c5	c5	PROPN
ejpam-6012	214	41	,	,	PUNCT
ejpam-6012	214	42	ϕγ	ϕγ	ADP
ejpam-6012	214	43	=	=	SYM
ejpam-6012	214	44	2c4γ	2c4γ	PROPN
ejpam-6012	215	1	+	+	CCONJ
ejpam-6012	215	2	c6	c6	PROPN
ejpam-6012	215	3	,	,	PUNCT
ejpam-6012	215	4	ςϑ	ςϑ	NOUN
ejpam-6012	215	5	=	=	PROPN
ejpam-6012	215	6	c1	c1	PROPN
ejpam-6012	215	7	+	+	CCONJ
ejpam-6012	215	8	c2γ	c2γ	PROPN
ejpam-6012	215	9	.	.	PUNCT
ejpam-6012	216	1	(	(	PUNCT
ejpam-6012	216	2	49	49	NUM
ejpam-6012	216	3	)	)	PUNCT
ejpam-6012	216	4	case	case	NOUN
ejpam-6012	216	5	5.1	5.1	NUM
ejpam-6012	216	6	:	:	PUNCT
ejpam-6012	216	7	for	for	ADP
ejpam-6012	216	8	c6	c6	NOUN
ejpam-6012	216	9	=	=	PUNCT
ejpam-6012	216	10	1	1	NUM
ejpam-6012	216	11	and	and	CCONJ
ejpam-6012	216	12	the	the	DET
ejpam-6012	216	13	symmetry	symmetry	NOUN
ejpam-6012	216	14	generator	generator	PROPN
ejpam-6012	216	15	∂	∂	PROPN
ejpam-6012	216	16	∂γ	∂γ	PROPN
ejpam-6012	216	17	leads	lead	VERB
ejpam-6012	216	18	to	to	ADP
ejpam-6012	216	19	characteristic	characteristic	ADJ
ejpam-6012	216	20	form	form	NOUN
ejpam-6012	216	21	dϑ	dϑ	NOUN
ejpam-6012	216	22	0	0	PUNCT
ejpam-6012	217	1	=	=	SYM
ejpam-6012	217	2	dα	dα	ADP
ejpam-6012	217	3	0	0	NUM
ejpam-6012	217	4	=	=	SYM
ejpam-6012	218	1	dβ	dβ	ADP
ejpam-6012	218	2	0	0	NUM
ejpam-6012	218	3	=	=	SYM
ejpam-6012	218	4	dγ	dγ	ADP
ejpam-6012	218	5	1	1	NUM
ejpam-6012	218	6	,	,	PUNCT
ejpam-6012	218	7	a.	a.	PROPN
ejpam-6012	218	8	hussain	hussain	PROPN
ejpam-6012	218	9	et	et	PROPN
ejpam-6012	218	10	al	al	PROPN
ejpam-6012	218	11	.	.	PUNCT
ejpam-6012	218	12	/	/	SYM
ejpam-6012	218	13	eur	eur	PROPN
ejpam-6012	218	14	.	.	PUNCT
ejpam-6012	219	1	j.	j.	PROPN
ejpam-6012	219	2	pure	pure	PROPN
ejpam-6012	219	3	appl	appl	PROPN
ejpam-6012	219	4	.	.	PROPN
ejpam-6012	219	5	math	math	PROPN
ejpam-6012	219	6	,	,	PUNCT
ejpam-6012	219	7	18	18	NUM
ejpam-6012	219	8	(	(	PUNCT
ejpam-6012	219	9	3	3	NUM
ejpam-6012	219	10	)	)	PUNCT
ejpam-6012	219	11	(	(	PUNCT
ejpam-6012	219	12	2025	2025	NUM
ejpam-6012	219	13	)	)	PUNCT
ejpam-6012	219	14	,	,	PUNCT
ejpam-6012	219	15	6012	6012	NUM
ejpam-6012	219	16	12	12	NUM
ejpam-6012	219	17	of	of	ADP
ejpam-6012	219	18	20	20	NUM
ejpam-6012	219	19	which	which	PRON
ejpam-6012	219	20	yields	yield	VERB
ejpam-6012	219	21	variables	variable	NOUN
ejpam-6012	219	22	ϑ(α	ϑ(α	PROPN
ejpam-6012	219	23	,	,	PUNCT
ejpam-6012	219	24	β	β	X
ejpam-6012	219	25	,	,	PUNCT
ejpam-6012	219	26	γ	γ	NOUN
ejpam-6012	219	27	)	)	PUNCT
ejpam-6012	219	28	=	=	SYM
ejpam-6012	219	29	p(k	p(k	NOUN
ejpam-6012	219	30	,	,	PUNCT
ejpam-6012	219	31	τ	τ	X
ejpam-6012	219	32	)	)	PUNCT
ejpam-6012	219	33	,	,	PUNCT
ejpam-6012	219	34	where	where	SCONJ
ejpam-6012	219	35	k	k	PROPN
ejpam-6012	219	36	=	=	SYM
ejpam-6012	219	37	α	α	PROPN
ejpam-6012	219	38	,	,	PUNCT
ejpam-6012	219	39	τ	τ	X
ejpam-6012	219	40	=	=	SYM
ejpam-6012	219	41	β	β	X
ejpam-6012	219	42	.	.	PUNCT
ejpam-6012	220	1	applying	apply	VERB
ejpam-6012	220	2	these	these	DET
ejpam-6012	220	3	invariants	invariant	NOUN
ejpam-6012	220	4	,	,	PUNCT
ejpam-6012	220	5	eq	eq	X
ejpam-6012	220	6	(	(	PUNCT
ejpam-6012	220	7	48	48	NUM
ejpam-6012	220	8	)	)	PUNCT
ejpam-6012	220	9	transforms	transform	VERB
ejpam-6012	220	10	into	into	ADP
ejpam-6012	220	11	the	the	DET
ejpam-6012	220	12	following	follow	VERB
ejpam-6012	220	13	(	(	PUNCT
ejpam-6012	220	14	1	1	NUM
ejpam-6012	220	15	+	+	NOUN
ejpam-6012	220	16	1	1	NUM
ejpam-6012	220	17	)	)	PUNCT
ejpam-6012	220	18	pde	pde	NOUN
ejpam-6012	220	19	2pkkkk	2pkkkk	PROPN
ejpam-6012	220	20	+	+	CCONJ
ejpam-6012	220	21	(	(	PUNCT
ejpam-6012	220	22	−12p2k	−12p2k	NUM
ejpam-6012	221	1	+	+	CCONJ
ejpam-6012	221	2	3pτ	3pτ	ADJ
ejpam-6012	221	3	)	)	PUNCT
ejpam-6012	221	4	pkk	pkk	NOUN
ejpam-6012	222	1	+	+	CCONJ
ejpam-6012	223	1	3pkpkτ	3pkpkτ	NUM
ejpam-6012	223	2	=	=	SYM
ejpam-6012	223	3	0	0	PROPN
ejpam-6012	223	4	.	.	PUNCT
ejpam-6012	224	1	(	(	PUNCT
ejpam-6012	224	2	50	50	NUM
ejpam-6012	224	3	)	)	PUNCT
ejpam-6012	224	4	the	the	DET
ejpam-6012	224	5	application	application	NOUN
ejpam-6012	224	6	of	of	ADP
ejpam-6012	224	7	the	the	DET
ejpam-6012	224	8	lie	lie	NOUN
ejpam-6012	224	9	symmetry	symmetry	NOUN
ejpam-6012	224	10	method	method	NOUN
ejpam-6012	224	11	to	to	ADP
ejpam-6012	224	12	this	this	PRON
ejpam-6012	224	13	(	(	PUNCT
ejpam-6012	224	14	1	1	NUM
ejpam-6012	224	15	+	+	NOUN
ejpam-6012	224	16	1	1	NUM
ejpam-6012	224	17	)	)	PUNCT
ejpam-6012	224	18	dimensional	dimensional	ADJ
ejpam-6012	224	19	pde	pde	NOUN
ejpam-6012	224	20	unveils	unveil	VERB
ejpam-6012	224	21	additional	additional	ADJ
ejpam-6012	224	22	infinitesimals	infinitesimal	NOUN
ejpam-6012	224	23	ϕk	ϕk	NOUN
ejpam-6012	224	24	=	=	SYM
ejpam-6012	224	25	c2	c2	PROPN
ejpam-6012	224	26	+	+	CCONJ
ejpam-6012	224	27	c3k	c3k	PROPN
ejpam-6012	224	28	,	,	PUNCT
ejpam-6012	224	29	ϕτ	ϕτ	ADP
ejpam-6012	224	30	=	=	PUNCT
ejpam-6012	224	31	2c3τ	2c3τ	PROPN
ejpam-6012	224	32	+	+	CCONJ
ejpam-6012	224	33	c4	c4	NOUN
ejpam-6012	224	34	,	,	PUNCT
ejpam-6012	224	35	ςp	ςp	PROPN
ejpam-6012	224	36	=	=	SYM
ejpam-6012	224	37	c1	c1	PROPN
ejpam-6012	224	38	.	.	PUNCT
ejpam-6012	225	1	(	(	PUNCT
ejpam-6012	225	2	51	51	NUM
ejpam-6012	225	3	)	)	PUNCT
ejpam-6012	225	4	case	case	NOUN
ejpam-6012	225	5	5.1.1	5.1.1	NOUN
ejpam-6012	225	6	:	:	PUNCT
ejpam-6012	225	7	for	for	ADP
ejpam-6012	225	8	c4	c4	NOUN
ejpam-6012	225	9	=	=	SYM
ejpam-6012	225	10	1	1	NUM
ejpam-6012	225	11	and	and	CCONJ
ejpam-6012	225	12	the	the	DET
ejpam-6012	225	13	symmetry	symmetry	NOUN
ejpam-6012	225	14	generator	generator	PROPN
ejpam-6012	225	15	∂	∂	NOUN
ejpam-6012	225	16	∂τ	∂τ	PROPN
ejpam-6012	225	17	leads	lead	VERB
ejpam-6012	225	18	to	to	ADP
ejpam-6012	225	19	characteristic	characteristic	ADJ
ejpam-6012	225	20	form	form	NOUN
ejpam-6012	225	21	dp	dp	NOUN
ejpam-6012	225	22	0	0	NUM
ejpam-6012	226	1	=	=	SYM
ejpam-6012	226	2	dk	dk	PRON
ejpam-6012	226	3	0	0	PUNCT
ejpam-6012	226	4	=	=	SYM
ejpam-6012	226	5	dτ	dτ	PROPN
ejpam-6012	226	6	1	1	NUM
ejpam-6012	226	7	,	,	PUNCT
ejpam-6012	226	8	which	which	PRON
ejpam-6012	226	9	gives	give	VERB
ejpam-6012	226	10	rise	rise	NOUN
ejpam-6012	226	11	to	to	ADP
ejpam-6012	226	12	invariant	invariant	ADJ
ejpam-6012	226	13	variables	variable	NOUN
ejpam-6012	226	14	p(k	p(k	NOUN
ejpam-6012	226	15	,	,	PUNCT
ejpam-6012	226	16	τ	τ	X
ejpam-6012	226	17	)	)	PUNCT
ejpam-6012	226	18	=	=	SYM
ejpam-6012	226	19	h(s	h(s	PROPN
ejpam-6012	226	20	)	)	PUNCT
ejpam-6012	226	21	,	,	PUNCT
ejpam-6012	226	22	where	where	SCONJ
ejpam-6012	226	23	k	k	PROPN
ejpam-6012	226	24	=	=	SYM
ejpam-6012	226	25	s.	s.	PROPN
ejpam-6012	226	26	applying	apply	VERB
ejpam-6012	226	27	these	these	DET
ejpam-6012	226	28	invariants	invariant	NOUN
ejpam-6012	226	29	,	,	PUNCT
ejpam-6012	226	30	eq	eq	X
ejpam-6012	226	31	(	(	PUNCT
ejpam-6012	226	32	50	50	NUM
ejpam-6012	226	33	)	)	PUNCT
ejpam-6012	226	34	transforms	transform	VERB
ejpam-6012	226	35	into	into	ADP
ejpam-6012	226	36	the	the	DET
ejpam-6012	226	37	following	follow	VERB
ejpam-6012	226	38	ode	ode	PROPN
ejpam-6012	226	39	h(iv	h(iv	NOUN
ejpam-6012	226	40	)	)	PUNCT
ejpam-6012	226	41	−	−	PROPN
ejpam-6012	226	42	6h′	6h′	NUM
ejpam-6012	226	43	2	2	NUM
ejpam-6012	226	44	h′′	h′′	NOUN
ejpam-6012	226	45	=	=	SYM
ejpam-6012	226	46	0	0	PROPN
ejpam-6012	226	47	.	.	PUNCT
ejpam-6012	227	1	(	(	PUNCT
ejpam-6012	227	2	52	52	NUM
ejpam-6012	227	3	)	)	PUNCT
ejpam-6012	227	4	eq	eq	NOUN
ejpam-6012	227	5	(	(	PUNCT
ejpam-6012	227	6	52	52	NUM
ejpam-6012	227	7	)	)	PUNCT
ejpam-6012	227	8	admits	admit	VERB
ejpam-6012	227	9	a	a	DET
ejpam-6012	227	10	lagrangian	lagrangian	ADJ
ejpam-6012	227	11	l	l	NOUN
ejpam-6012	228	1	=	=	SYM
ejpam-6012	228	2	h′′2	h′′2	PROPN
ejpam-6012	228	3	2	2	NUM
ejpam-6012	228	4	+	+	CCONJ
ejpam-6012	228	5	h′4	h′4	ADV
ejpam-6012	228	6	2	2	NUM
ejpam-6012	228	7	,	,	PUNCT
ejpam-6012	228	8	which	which	PRON
ejpam-6012	228	9	in	in	ADP
ejpam-6012	228	10	turn	turn	NOUN
ejpam-6012	228	11	exhibits	exhibit	VERB
ejpam-6012	228	12	variational	variational	ADJ
ejpam-6012	228	13	symmetries	symmetry	NOUN
ejpam-6012	228	14	given	give	VERB
ejpam-6012	228	15	by	by	ADP
ejpam-6012	228	16	∂	∂	NUM
ejpam-6012	228	17	∂s	∂s	PROPN
ejpam-6012	228	18	,	,	PUNCT
ejpam-6012	228	19	∂	∂	NUM
ejpam-6012	228	20	∂h	∂h	PROPN
ejpam-6012	228	21	·	·	PUNCT
ejpam-6012	228	22	(	(	PUNCT
ejpam-6012	228	23	53	53	NUM
ejpam-6012	228	24	)	)	PUNCT
ejpam-6012	228	25	for	for	ADP
ejpam-6012	228	26	∂	∂	NOUN
ejpam-6012	228	27	∂h	∂h	PROPN
ejpam-6012	228	28	,	,	PUNCT
ejpam-6012	228	29	the	the	DET
ejpam-6012	228	30	corresponding	corresponding	ADJ
ejpam-6012	228	31	noether	noether	ADJ
ejpam-6012	228	32	first	first	ADJ
ejpam-6012	228	33	integral	integral	ADJ
ejpam-6012	228	34	is	be	AUX
ejpam-6012	228	35	i	i	NOUN
ejpam-6012	228	36	=	=	PUNCT
ejpam-6012	228	37	h′′′	h′′′	PROPN
ejpam-6012	228	38	−	−	PROPN
ejpam-6012	228	39	2h′	2h′	NUM
ejpam-6012	228	40	3	3	NUM
ejpam-6012	228	41	.	.	PUNCT
ejpam-6012	229	1	(	(	PUNCT
ejpam-6012	229	2	54	54	NUM
ejpam-6012	229	3	)	)	PUNCT
ejpam-6012	229	4	now	now	ADV
ejpam-6012	229	5	,	,	PUNCT
ejpam-6012	229	6	dsi	dsi	ADJ
ejpam-6012	229	7	=	=	SYM
ejpam-6012	229	8	0	0	NUM
ejpam-6012	229	9	implies	imply	VERB
ejpam-6012	229	10	i	i	NOUN
ejpam-6012	230	1	=	=	SYM
ejpam-6012	230	2	c	c	X
ejpam-6012	230	3	,	,	PUNCT
ejpam-6012	230	4	that	that	PRON
ejpam-6012	230	5	is	be	AUX
ejpam-6012	230	6	h′′′	h′′′	PROPN
ejpam-6012	230	7	−	−	PROPN
ejpam-6012	230	8	2h′	2h′	NUM
ejpam-6012	231	1	3	3	NUM
ejpam-6012	231	2	=	=	SYM
ejpam-6012	231	3	c	c	NOUN
ejpam-6012	231	4	,	,	PUNCT
ejpam-6012	231	5	(	(	PUNCT
ejpam-6012	231	6	55	55	NUM
ejpam-6012	231	7	)	)	PUNCT
ejpam-6012	231	8	where	where	SCONJ
ejpam-6012	231	9	c	c	NOUN
ejpam-6012	231	10	is	be	AUX
ejpam-6012	231	11	any	any	DET
ejpam-6012	231	12	constant	constant	ADJ
ejpam-6012	231	13	.	.	PUNCT
ejpam-6012	232	1	the	the	DET
ejpam-6012	232	2	polynomial	polynomial	ADJ
ejpam-6012	232	3	solution	solution	NOUN
ejpam-6012	232	4	of	of	ADP
ejpam-6012	232	5	equation	equation	NOUN
ejpam-6012	232	6	(	(	PUNCT
ejpam-6012	232	7	55	55	NUM
ejpam-6012	232	8	)	)	PUNCT
ejpam-6012	232	9	is	be	AUX
ejpam-6012	232	10	h(s	h(	NOUN
ejpam-6012	232	11	)	)	PUNCT
ejpam-6012	233	1	=	=	PRON
ejpam-6012	233	2	(	(	PUNCT
ejpam-6012	233	3	−	−	PROPN
ejpam-6012	233	4	(	(	PUNCT
ejpam-6012	233	5	−4c	−4c	PROPN
ejpam-6012	233	6	)	)	PUNCT
ejpam-6012	233	7	1	1	NUM
ejpam-6012	233	8	3	3	NUM
ejpam-6012	233	9	4	4	NUM
ejpam-6012	233	10	±	±	NUM
ejpam-6012	234	1	i	i	PRON
ejpam-6012	234	2	√	√	VERB
ejpam-6012	234	3	3	3	NUM
ejpam-6012	234	4	4	4	NUM
ejpam-6012	234	5	(	(	PUNCT
ejpam-6012	234	6	−4c	−4c	PROPN
ejpam-6012	234	7	)	)	PUNCT
ejpam-6012	234	8	1	1	NUM
ejpam-6012	234	9	3	3	NUM
ejpam-6012	234	10	)	)	PUNCT
ejpam-6012	234	11	s+	s+	PUNCT
ejpam-6012	234	12	c1	c1	PROPN
ejpam-6012	234	13	.	.	PUNCT
ejpam-6012	235	1	(	(	PUNCT
ejpam-6012	235	2	56	56	NUM
ejpam-6012	235	3	)	)	PUNCT
ejpam-6012	235	4	by	by	ADP
ejpam-6012	235	5	back	back	ADJ
ejpam-6012	235	6	substitution	substitution	NOUN
ejpam-6012	235	7	of	of	ADP
ejpam-6012	235	8	variables	variable	NOUN
ejpam-6012	235	9	,	,	PUNCT
ejpam-6012	235	10	we	we	PRON
ejpam-6012	235	11	get	get	VERB
ejpam-6012	235	12	p(k	p(k	NOUN
ejpam-6012	235	13	,	,	PUNCT
ejpam-6012	235	14	τ	τ	X
ejpam-6012	235	15	)	)	PUNCT
ejpam-6012	235	16	=	=	SYM
ejpam-6012	235	17	(	(	PUNCT
ejpam-6012	235	18	−	−	PROPN
ejpam-6012	235	19	(	(	PUNCT
ejpam-6012	235	20	−4c	−4c	PROPN
ejpam-6012	235	21	)	)	PUNCT
ejpam-6012	235	22	1	1	NUM
ejpam-6012	235	23	3	3	NUM
ejpam-6012	235	24	4	4	NUM
ejpam-6012	235	25	±	±	NUM
ejpam-6012	236	1	i	i	PRON
ejpam-6012	236	2	√	√	VERB
ejpam-6012	236	3	3	3	NUM
ejpam-6012	236	4	4	4	NUM
ejpam-6012	236	5	(	(	PUNCT
ejpam-6012	236	6	−4c	−4c	PROPN
ejpam-6012	236	7	)	)	PUNCT
ejpam-6012	236	8	1	1	NUM
ejpam-6012	236	9	3	3	NUM
ejpam-6012	236	10	)	)	PUNCT
ejpam-6012	236	11	k	k	PROPN
ejpam-6012	237	1	+	+	PUNCT
ejpam-6012	237	2	c1	c1	PROPN
ejpam-6012	237	3	,	,	PUNCT
ejpam-6012	237	4	(	(	PUNCT
ejpam-6012	237	5	57	57	NUM
ejpam-6012	237	6	)	)	PUNCT
ejpam-6012	237	7	this	this	PRON
ejpam-6012	237	8	implies	imply	VERB
ejpam-6012	237	9	,	,	PUNCT
ejpam-6012	237	10	ϑ(α	ϑ(α	PROPN
ejpam-6012	237	11	,	,	PUNCT
ejpam-6012	237	12	β	β	X
ejpam-6012	237	13	,	,	PUNCT
ejpam-6012	237	14	γ	γ	NOUN
ejpam-6012	237	15	)	)	PUNCT
ejpam-6012	237	16	=	=	SYM
ejpam-6012	237	17	(	(	PUNCT
ejpam-6012	237	18	−	−	PROPN
ejpam-6012	237	19	(	(	PUNCT
ejpam-6012	237	20	−4c	−4c	PROPN
ejpam-6012	237	21	)	)	PUNCT
ejpam-6012	237	22	1	1	NUM
ejpam-6012	237	23	3	3	NUM
ejpam-6012	237	24	4	4	NUM
ejpam-6012	237	25	±	±	NUM
ejpam-6012	237	26	i	i	PRON
ejpam-6012	237	27	√	√	VERB
ejpam-6012	237	28	3	3	NUM
ejpam-6012	237	29	4	4	NUM
ejpam-6012	237	30	(	(	PUNCT
ejpam-6012	237	31	−4c	−4c	PROPN
ejpam-6012	237	32	)	)	PUNCT
ejpam-6012	237	33	1	1	NUM
ejpam-6012	237	34	3	3	NUM
ejpam-6012	237	35	)	)	PUNCT
ejpam-6012	237	36	α+	α+	DET
ejpam-6012	237	37	c1	c1	NOUN
ejpam-6012	237	38	.	.	PUNCT
ejpam-6012	238	1	(	(	PUNCT
ejpam-6012	238	2	58	58	NUM
ejpam-6012	238	3	)	)	PUNCT
ejpam-6012	238	4	a.	a.	NOUN
ejpam-6012	238	5	hussain	hussain	PROPN
ejpam-6012	238	6	et	et	PROPN
ejpam-6012	238	7	al	al	PROPN
ejpam-6012	238	8	.	.	PUNCT
ejpam-6012	238	9	/	/	SYM
ejpam-6012	238	10	eur	eur	PROPN
ejpam-6012	238	11	.	.	PUNCT
ejpam-6012	239	1	j.	j.	PROPN
ejpam-6012	239	2	pure	pure	PROPN
ejpam-6012	239	3	appl	appl	PROPN
ejpam-6012	239	4	.	.	PROPN
ejpam-6012	239	5	math	math	PROPN
ejpam-6012	239	6	,	,	PUNCT
ejpam-6012	239	7	18	18	NUM
ejpam-6012	239	8	(	(	PUNCT
ejpam-6012	239	9	3	3	NUM
ejpam-6012	239	10	)	)	PUNCT
ejpam-6012	239	11	(	(	PUNCT
ejpam-6012	239	12	2025	2025	NUM
ejpam-6012	239	13	)	)	PUNCT
ejpam-6012	239	14	,	,	PUNCT
ejpam-6012	239	15	6012	6012	NUM
ejpam-6012	239	16	13	13	NUM
ejpam-6012	239	17	of	of	ADP
ejpam-6012	239	18	20	20	NUM
ejpam-6012	239	19	as	as	ADP
ejpam-6012	239	20	a	a	DET
ejpam-6012	239	21	outcome	outcome	NOUN
ejpam-6012	239	22	,	,	PUNCT
ejpam-6012	239	23	the	the	DET
ejpam-6012	239	24	invariant	invariant	ADJ
ejpam-6012	239	25	solution	solution	NOUN
ejpam-6012	239	26	for	for	ADP
ejpam-6012	239	27	the	the	DET
ejpam-6012	239	28	(	(	PUNCT
ejpam-6012	239	29	3	3	NUM
ejpam-6012	239	30	+	+	NOUN
ejpam-6012	239	31	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	239	32	model	model	NOUN
ejpam-6012	239	33	(	(	PUNCT
ejpam-6012	239	34	4	4	NUM
ejpam-6012	239	35	)	)	PUNCT
ejpam-6012	239	36	is	be	AUX
ejpam-6012	239	37	formulated	formulate	VERB
ejpam-6012	239	38	as	as	SCONJ
ejpam-6012	239	39	follows	follow	VERB
ejpam-6012	239	40	u(x	u(x	NOUN
ejpam-6012	239	41	,	,	PUNCT
ejpam-6012	239	42	y	y	PROPN
ejpam-6012	239	43	,	,	PUNCT
ejpam-6012	239	44	z	z	PROPN
ejpam-6012	239	45	,	,	PUNCT
ejpam-6012	239	46	t	t	PROPN
ejpam-6012	239	47	)	)	PUNCT
ejpam-6012	239	48	=	=	SYM
ejpam-6012	239	49	(	(	PUNCT
ejpam-6012	239	50	−	−	PROPN
ejpam-6012	239	51	(	(	PUNCT
ejpam-6012	239	52	−4c	−4c	PROPN
ejpam-6012	239	53	)	)	PUNCT
ejpam-6012	239	54	1	1	NUM
ejpam-6012	239	55	3	3	NUM
ejpam-6012	239	56	4	4	NUM
ejpam-6012	239	57	±	±	NUM
ejpam-6012	240	1	i	i	PRON
ejpam-6012	240	2	√	√	VERB
ejpam-6012	240	3	3	3	NUM
ejpam-6012	240	4	4	4	NUM
ejpam-6012	240	5	(	(	PUNCT
ejpam-6012	240	6	−4c	−4c	PROPN
ejpam-6012	240	7	)	)	PUNCT
ejpam-6012	240	8	1	1	NUM
ejpam-6012	240	9	3	3	NUM
ejpam-6012	240	10	)	)	PUNCT
ejpam-6012	240	11	x+	x+	PROPN
ejpam-6012	241	1	c1	c1	NOUN
ejpam-6012	241	2	,	,	PUNCT
ejpam-6012	241	3	(	(	PUNCT
ejpam-6012	241	4	59	59	NUM
ejpam-6012	241	5	)	)	PUNCT
ejpam-6012	241	6	where	where	SCONJ
ejpam-6012	241	7	c1	c1	PROPN
ejpam-6012	241	8	denotes	denote	VERB
ejpam-6012	241	9	a	a	DET
ejpam-6012	241	10	constant	constant	ADJ
ejpam-6012	241	11	.	.	PUNCT
ejpam-6012	242	1	case	case	NOUN
ejpam-6012	242	2	6	6	NUM
ejpam-6012	242	3	:	:	PUNCT
ejpam-6012	242	4	v2	v2	PROPN
ejpam-6012	242	5	+	+	CCONJ
ejpam-6012	242	6	v4	v4	NOUN
ejpam-6012	242	7	=	=	SYM
ejpam-6012	242	8	∂	∂	NOUN
ejpam-6012	242	9	∂u	∂u	PROPN
ejpam-6012	242	10	+	+	PUNCT
ejpam-6012	242	11	∂	∂	NUM
ejpam-6012	242	12	∂z	∂z	PROPN
ejpam-6012	242	13	.	.	PUNCT
ejpam-6012	243	1	in	in	ADP
ejpam-6012	243	2	the	the	DET
ejpam-6012	243	3	case	case	NOUN
ejpam-6012	243	4	of	of	ADP
ejpam-6012	243	5	the	the	DET
ejpam-6012	243	6	symmetry	symmetry	NOUN
ejpam-6012	243	7	generator	generator	NOUN
ejpam-6012	243	8	v2	v2	PROPN
ejpam-6012	243	9	+	+	CCONJ
ejpam-6012	243	10	v4	v4	PROPN
ejpam-6012	243	11	,	,	PUNCT
ejpam-6012	243	12	the	the	DET
ejpam-6012	243	13	lagrange	lagrange	NOUN
ejpam-6012	243	14	equation	equation	NOUN
ejpam-6012	243	15	can	can	AUX
ejpam-6012	243	16	be	be	AUX
ejpam-6012	243	17	expressed	express	VERB
ejpam-6012	243	18	as	as	ADP
ejpam-6012	243	19	shown	show	VERB
ejpam-6012	243	20	below	below	ADV
ejpam-6012	243	21	,	,	PUNCT
ejpam-6012	243	22	du	du	PROPN
ejpam-6012	243	23	1	1	NUM
ejpam-6012	243	24	=	=	SYM
ejpam-6012	243	25	dx	dx	PROPN
ejpam-6012	243	26	0	0	PUNCT
ejpam-6012	244	1	=	=	PUNCT
ejpam-6012	244	2	dy	dy	NOUN
ejpam-6012	244	3	0	0	NUM
ejpam-6012	245	1	=	=	SYM
ejpam-6012	245	2	dz	dz	PRON
ejpam-6012	245	3	1	1	NUM
ejpam-6012	245	4	=	=	SYM
ejpam-6012	245	5	dt	dt	NOUN
ejpam-6012	245	6	0	0	NUM
ejpam-6012	245	7	,	,	PUNCT
ejpam-6012	245	8	and	and	CCONJ
ejpam-6012	245	9	produces	produce	VERB
ejpam-6012	245	10	a	a	DET
ejpam-6012	245	11	similarity	similarity	NOUN
ejpam-6012	245	12	transformation	transformation	NOUN
ejpam-6012	245	13	,	,	PUNCT
ejpam-6012	245	14	u(x	u(x	PROPN
ejpam-6012	245	15	,	,	PUNCT
ejpam-6012	245	16	y	y	PROPN
ejpam-6012	245	17	,	,	PUNCT
ejpam-6012	245	18	z	z	PROPN
ejpam-6012	245	19	,	,	PUNCT
ejpam-6012	245	20	t	t	PROPN
ejpam-6012	245	21	)	)	PUNCT
ejpam-6012	245	22	=	=	SYM
ejpam-6012	246	1	z	z	X
ejpam-6012	246	2	+	+	PUNCT
ejpam-6012	246	3	ϑ(α	ϑ(α	PROPN
ejpam-6012	246	4	,	,	PUNCT
ejpam-6012	246	5	β	β	X
ejpam-6012	246	6	,	,	PUNCT
ejpam-6012	246	7	γ	γ	PROPN
ejpam-6012	246	8	)	)	PUNCT
ejpam-6012	246	9	,	,	PUNCT
ejpam-6012	246	10	α	α	PROPN
ejpam-6012	246	11	=	=	SYM
ejpam-6012	246	12	t	t	PROPN
ejpam-6012	246	13	,	,	PUNCT
ejpam-6012	246	14	β	β	X
ejpam-6012	246	15	=	=	SYM
ejpam-6012	246	16	x	x	PROPN
ejpam-6012	246	17	,	,	PUNCT
ejpam-6012	246	18	γ	γ	X
ejpam-6012	246	19	=	=	SYM
ejpam-6012	246	20	y.	y.	NOUN
ejpam-6012	246	21	through	through	ADP
ejpam-6012	246	22	the	the	DET
ejpam-6012	246	23	application	application	NOUN
ejpam-6012	246	24	of	of	ADP
ejpam-6012	246	25	this	this	DET
ejpam-6012	246	26	transformation	transformation	NOUN
ejpam-6012	246	27	,	,	PUNCT
ejpam-6012	246	28	we	we	PRON
ejpam-6012	246	29	continue	continue	VERB
ejpam-6012	246	30	with	with	ADP
ejpam-6012	246	31	equation	equation	NOUN
ejpam-6012	246	32	(	(	PUNCT
ejpam-6012	246	33	4	4	NUM
ejpam-6012	246	34	)	)	PUNCT
ejpam-6012	246	35	in	in	ADP
ejpam-6012	246	36	its	its	PRON
ejpam-6012	246	37	reduced	reduce	VERB
ejpam-6012	246	38	form	form	NOUN
ejpam-6012	246	39	as	as	SCONJ
ejpam-6012	246	40	shown	show	VERB
ejpam-6012	246	41	below	below	ADP
ejpam-6012	246	42	,	,	PUNCT
ejpam-6012	246	43	2ϑββββ	2ϑββββ	NUM
ejpam-6012	246	44	+	+	CCONJ
ejpam-6012	246	45	(	(	PUNCT
ejpam-6012	246	46	−12ϑ2β	−12ϑ2β	X
ejpam-6012	247	1	+	+	CCONJ
ejpam-6012	248	1	3ϑγ)ϑββ	3ϑγ)ϑββ	NUM
ejpam-6012	248	2	+	+	CCONJ
ejpam-6012	248	3	3ϑβϑβγ	3ϑβϑβγ	NUM
ejpam-6012	248	4	+	+	NUM
ejpam-6012	248	5	2ϑαβ	2ϑαβ	NUM
ejpam-6012	248	6	=	=	SYM
ejpam-6012	248	7	0	0	NUM
ejpam-6012	248	8	,	,	PUNCT
ejpam-6012	248	9	(	(	PUNCT
ejpam-6012	248	10	60	60	NUM
ejpam-6012	248	11	)	)	PUNCT
ejpam-6012	248	12	the	the	DET
ejpam-6012	248	13	application	application	NOUN
ejpam-6012	248	14	of	of	ADP
ejpam-6012	248	15	the	the	DET
ejpam-6012	248	16	lie	lie	NOUN
ejpam-6012	248	17	symmetry	symmetry	NOUN
ejpam-6012	248	18	method	method	NOUN
ejpam-6012	248	19	to	to	ADP
ejpam-6012	248	20	this	this	PRON
ejpam-6012	248	21	(	(	PUNCT
ejpam-6012	248	22	2	2	NUM
ejpam-6012	248	23	+	+	NOUN
ejpam-6012	248	24	1	1	NUM
ejpam-6012	248	25	)	)	PUNCT
ejpam-6012	248	26	dimensional	dimensional	ADJ
ejpam-6012	248	27	pde	pde	NOUN
ejpam-6012	248	28	unveils	unveil	VERB
ejpam-6012	248	29	additional	additional	ADJ
ejpam-6012	248	30	infinitesimals	infinitesimal	NOUN
ejpam-6012	248	31	ϕα	ϕα	ADV
ejpam-6012	248	32	=	=	SYM
ejpam-6012	248	33	3c7α+	3c7α+	NUM
ejpam-6012	248	34	c5	c5	PROPN
ejpam-6012	248	35	,	,	PUNCT
ejpam-6012	248	36	ϕβ	ϕβ	ADP
ejpam-6012	248	37	=	=	NOUN
ejpam-6012	248	38	3	3	NUM
ejpam-6012	248	39	2	2	NUM
ejpam-6012	248	40	αc2	αc2	NOUN
ejpam-6012	248	41	+	+	CCONJ
ejpam-6012	248	42	c7β	c7β	PROPN
ejpam-6012	248	43	−	−	PROPN
ejpam-6012	248	44	4γc3	4γc3	NUM
ejpam-6012	249	1	+	+	CCONJ
ejpam-6012	249	2	c6	c6	PROPN
ejpam-6012	249	3	,	,	PUNCT
ejpam-6012	249	4	ϕγ	ϕγ	ADP
ejpam-6012	249	5	=	=	NOUN
ejpam-6012	249	6	3	3	NUM
ejpam-6012	249	7	2	2	NUM
ejpam-6012	249	8	αc3	αc3	NOUN
ejpam-6012	249	9	+	+	NUM
ejpam-6012	249	10	2γc7	2γc7	NUM
ejpam-6012	250	1	+	+	CCONJ
ejpam-6012	250	2	c8	c8	NOUN
ejpam-6012	250	3	,	,	PUNCT
ejpam-6012	250	4	ςϑ	ςϑ	NOUN
ejpam-6012	250	5	=	=	SYM
ejpam-6012	250	6	c2γ	c2γ	NOUN
ejpam-6012	250	7	+	+	CCONJ
ejpam-6012	250	8	c3β	c3β	PROPN
ejpam-6012	250	9	+	+	CCONJ
ejpam-6012	250	10	c4α+	c4α+	PROPN
ejpam-6012	250	11	c1	c1	NOUN
ejpam-6012	250	12	.	.	PUNCT
ejpam-6012	251	1	(	(	PUNCT
ejpam-6012	251	2	61	61	NUM
ejpam-6012	251	3	)	)	PUNCT
ejpam-6012	251	4	case	case	NOUN
ejpam-6012	251	5	6.1	6.1	NUM
ejpam-6012	251	6	:	:	PUNCT
ejpam-6012	251	7	for	for	ADP
ejpam-6012	251	8	c8	c8	PROPN
ejpam-6012	251	9	=	=	SYM
ejpam-6012	251	10	1	1	NUM
ejpam-6012	251	11	and	and	CCONJ
ejpam-6012	251	12	the	the	DET
ejpam-6012	251	13	symmetry	symmetry	NOUN
ejpam-6012	251	14	generator	generator	PROPN
ejpam-6012	251	15	∂	∂	PROPN
ejpam-6012	251	16	∂γ	∂γ	PROPN
ejpam-6012	251	17	leads	lead	VERB
ejpam-6012	251	18	to	to	ADP
ejpam-6012	251	19	characteristic	characteristic	ADJ
ejpam-6012	251	20	form	form	NOUN
ejpam-6012	251	21	dϑ	dϑ	NOUN
ejpam-6012	251	22	0	0	PUNCT
ejpam-6012	252	1	=	=	SYM
ejpam-6012	252	2	dα	dα	ADP
ejpam-6012	252	3	0	0	NUM
ejpam-6012	252	4	=	=	SYM
ejpam-6012	253	1	dβ	dβ	ADP
ejpam-6012	253	2	0	0	NUM
ejpam-6012	253	3	=	=	SYM
ejpam-6012	253	4	dγ	dγ	ADP
ejpam-6012	253	5	1	1	NUM
ejpam-6012	253	6	,	,	PUNCT
ejpam-6012	253	7	with	with	ADP
ejpam-6012	253	8	the	the	DET
ejpam-6012	253	9	invariant	invariant	ADJ
ejpam-6012	253	10	variables	variable	NOUN
ejpam-6012	253	11	ϑ(α	ϑ(α	PROPN
ejpam-6012	253	12	,	,	PUNCT
ejpam-6012	253	13	β	β	X
ejpam-6012	253	14	,	,	PUNCT
ejpam-6012	253	15	γ	γ	NOUN
ejpam-6012	253	16	)	)	PUNCT
ejpam-6012	253	17	=	=	SYM
ejpam-6012	253	18	p(k	p(k	NOUN
ejpam-6012	253	19	,	,	PUNCT
ejpam-6012	253	20	τ	τ	X
ejpam-6012	253	21	)	)	PUNCT
ejpam-6012	253	22	,	,	PUNCT
ejpam-6012	253	23	where	where	SCONJ
ejpam-6012	253	24	k	k	PROPN
ejpam-6012	253	25	=	=	SYM
ejpam-6012	253	26	α	α	PROPN
ejpam-6012	253	27	,	,	PUNCT
ejpam-6012	253	28	τ	τ	X
ejpam-6012	253	29	=	=	SYM
ejpam-6012	253	30	β	β	X
ejpam-6012	253	31	.	.	PUNCT
ejpam-6012	254	1	applying	apply	VERB
ejpam-6012	254	2	these	these	DET
ejpam-6012	254	3	invariants	invariant	NOUN
ejpam-6012	254	4	,	,	PUNCT
ejpam-6012	254	5	eq	eq	X
ejpam-6012	254	6	(	(	PUNCT
ejpam-6012	254	7	60	60	NUM
ejpam-6012	254	8	)	)	PUNCT
ejpam-6012	254	9	transforms	transform	VERB
ejpam-6012	254	10	into	into	ADP
ejpam-6012	254	11	the	the	DET
ejpam-6012	254	12	following	follow	VERB
ejpam-6012	254	13	(	(	PUNCT
ejpam-6012	254	14	1	1	NUM
ejpam-6012	254	15	+	+	NOUN
ejpam-6012	254	16	1	1	NUM
ejpam-6012	254	17	)	)	PUNCT
ejpam-6012	254	18	pde	pde	NOUN
ejpam-6012	254	19	2pττττ	2pττττ	NUM
ejpam-6012	254	20	−	−	NOUN
ejpam-6012	254	21	12p2τpττ	12p2τpττ	NOUN
ejpam-6012	255	1	+	+	CCONJ
ejpam-6012	255	2	2pkτ	2pkτ	NUM
ejpam-6012	255	3	=	=	SYM
ejpam-6012	255	4	0	0	NUM
ejpam-6012	255	5	,	,	PUNCT
ejpam-6012	255	6	(	(	PUNCT
ejpam-6012	255	7	62	62	NUM
ejpam-6012	255	8	)	)	PUNCT
ejpam-6012	255	9	the	the	DET
ejpam-6012	255	10	application	application	NOUN
ejpam-6012	255	11	of	of	ADP
ejpam-6012	255	12	the	the	DET
ejpam-6012	255	13	lie	lie	NOUN
ejpam-6012	255	14	symmetry	symmetry	NOUN
ejpam-6012	255	15	method	method	NOUN
ejpam-6012	255	16	to	to	ADP
ejpam-6012	255	17	this	this	PRON
ejpam-6012	255	18	(	(	PUNCT
ejpam-6012	255	19	1	1	NUM
ejpam-6012	255	20	+	+	NOUN
ejpam-6012	255	21	1	1	NUM
ejpam-6012	255	22	)	)	PUNCT
ejpam-6012	255	23	dimensional	dimensional	ADJ
ejpam-6012	255	24	pde	pde	NOUN
ejpam-6012	255	25	unveils	unveil	VERB
ejpam-6012	255	26	additional	additional	ADJ
ejpam-6012	255	27	infinitesimals	infinitesimal	NOUN
ejpam-6012	255	28	ϕk	ϕk	NOUN
ejpam-6012	255	29	=	=	SYM
ejpam-6012	255	30	3c5k	3c5k	NOUN
ejpam-6012	256	1	+	+	CCONJ
ejpam-6012	256	2	c3	c3	PROPN
ejpam-6012	256	3	,	,	PUNCT
ejpam-6012	256	4	ϕτ	ϕτ	ADP
ejpam-6012	256	5	=	=	PUNCT
ejpam-6012	256	6	c5τ	c5τ	PROPN
ejpam-6012	256	7	+	+	NUM
ejpam-6012	256	8	c4	c4	NOUN
ejpam-6012	256	9	,	,	PUNCT
ejpam-6012	256	10	ςp	ςp	PRON
ejpam-6012	256	11	=	=	SYM
ejpam-6012	256	12	c2k	c2k	X
ejpam-6012	256	13	+	+	NUM
ejpam-6012	256	14	c1	c1	NOUN
ejpam-6012	256	15	.	.	PUNCT
ejpam-6012	257	1	(	(	PUNCT
ejpam-6012	257	2	63	63	NUM
ejpam-6012	257	3	)	)	PUNCT
ejpam-6012	257	4	case	case	NOUN
ejpam-6012	257	5	6.1.1	6.1.1	NUM
ejpam-6012	257	6	:	:	PUNCT
ejpam-6012	257	7	for	for	ADP
ejpam-6012	257	8	c3	c3	PROPN
ejpam-6012	257	9	=	=	PROPN
ejpam-6012	257	10	c4	c4	NOUN
ejpam-6012	257	11	=	=	SYM
ejpam-6012	257	12	1	1	NUM
ejpam-6012	257	13	and	and	CCONJ
ejpam-6012	257	14	the	the	DET
ejpam-6012	257	15	symmetry	symmetry	NOUN
ejpam-6012	257	16	generator	generator	NOUN
ejpam-6012	257	17	∂	∂	NOUN
ejpam-6012	258	1	∂k	∂k	X
ejpam-6012	258	2	+	+	CCONJ
ejpam-6012	258	3	∂	∂	NUM
ejpam-6012	258	4	∂τ	∂τ	NOUN
ejpam-6012	258	5	leads	lead	VERB
ejpam-6012	258	6	to	to	ADP
ejpam-6012	258	7	characteristic	characteristic	ADJ
ejpam-6012	258	8	form	form	NOUN
ejpam-6012	258	9	dp	dp	NOUN
ejpam-6012	258	10	0	0	NUM
ejpam-6012	259	1	=	=	SYM
ejpam-6012	259	2	dk	dk	PRON
ejpam-6012	259	3	1	1	NUM
ejpam-6012	259	4	=	=	SYM
ejpam-6012	259	5	dτ	dτ	NOUN
ejpam-6012	259	6	1	1	NUM
ejpam-6012	259	7	,	,	PUNCT
ejpam-6012	259	8	a.	a.	PROPN
ejpam-6012	259	9	hussain	hussain	PROPN
ejpam-6012	259	10	et	et	PROPN
ejpam-6012	259	11	al	al	PROPN
ejpam-6012	259	12	.	.	PUNCT
ejpam-6012	259	13	/	/	SYM
ejpam-6012	259	14	eur	eur	PROPN
ejpam-6012	259	15	.	.	PUNCT
ejpam-6012	260	1	j.	j.	PROPN
ejpam-6012	260	2	pure	pure	PROPN
ejpam-6012	260	3	appl	appl	PROPN
ejpam-6012	260	4	.	.	PROPN
ejpam-6012	260	5	math	math	PROPN
ejpam-6012	260	6	,	,	PUNCT
ejpam-6012	260	7	18	18	NUM
ejpam-6012	260	8	(	(	PUNCT
ejpam-6012	260	9	3	3	NUM
ejpam-6012	260	10	)	)	PUNCT
ejpam-6012	260	11	(	(	PUNCT
ejpam-6012	260	12	2025	2025	NUM
ejpam-6012	260	13	)	)	PUNCT
ejpam-6012	260	14	,	,	PUNCT
ejpam-6012	260	15	6012	6012	NUM
ejpam-6012	260	16	14	14	NUM
ejpam-6012	260	17	of	of	ADP
ejpam-6012	260	18	20	20	NUM
ejpam-6012	260	19	which	which	PRON
ejpam-6012	260	20	gives	give	VERB
ejpam-6012	260	21	rise	rise	NOUN
ejpam-6012	260	22	to	to	ADP
ejpam-6012	260	23	invariant	invariant	ADJ
ejpam-6012	260	24	variables	variable	NOUN
ejpam-6012	260	25	p(k	p(k	NOUN
ejpam-6012	260	26	,	,	PUNCT
ejpam-6012	260	27	τ	τ	X
ejpam-6012	260	28	)	)	PUNCT
ejpam-6012	260	29	=	=	SYM
ejpam-6012	260	30	h(s	h(s	PROPN
ejpam-6012	260	31	)	)	PUNCT
ejpam-6012	260	32	,	,	PUNCT
ejpam-6012	260	33	where	where	SCONJ
ejpam-6012	260	34	−k	−k	PROPN
ejpam-6012	260	35	+	+	CCONJ
ejpam-6012	260	36	τ	τ	X
ejpam-6012	260	37	=	=	PUNCT
ejpam-6012	260	38	s.	s.	PROPN
ejpam-6012	260	39	applying	apply	VERB
ejpam-6012	260	40	these	these	DET
ejpam-6012	260	41	invariants	invariant	NOUN
ejpam-6012	260	42	,	,	PUNCT
ejpam-6012	260	43	eq	eq	X
ejpam-6012	260	44	(	(	PUNCT
ejpam-6012	260	45	62	62	NUM
ejpam-6012	260	46	)	)	PUNCT
ejpam-6012	260	47	transforms	transform	VERB
ejpam-6012	260	48	into	into	ADP
ejpam-6012	260	49	the	the	DET
ejpam-6012	260	50	following	follow	VERB
ejpam-6012	260	51	ode	ode	PROPN
ejpam-6012	260	52	h(iv	h(iv	NOUN
ejpam-6012	260	53	)	)	PUNCT
ejpam-6012	260	54	−	−	PROPN
ejpam-6012	261	1	6h′	6h′	NUM
ejpam-6012	261	2	2	2	NUM
ejpam-6012	261	3	h′′	h′′	NOUN
ejpam-6012	261	4	−	−	PROPN
ejpam-6012	261	5	h′′	h′′	NOUN
ejpam-6012	261	6	=	=	SYM
ejpam-6012	261	7	0	0	PROPN
ejpam-6012	261	8	.	.	PUNCT
ejpam-6012	262	1	(	(	PUNCT
ejpam-6012	262	2	64	64	NUM
ejpam-6012	262	3	)	)	PUNCT
ejpam-6012	262	4	eq	eq	NOUN
ejpam-6012	262	5	(	(	PUNCT
ejpam-6012	262	6	64	64	NUM
ejpam-6012	262	7	)	)	PUNCT
ejpam-6012	262	8	admits	admit	VERB
ejpam-6012	262	9	a	a	DET
ejpam-6012	262	10	lagrangian	lagrangian	ADJ
ejpam-6012	262	11	l	l	NOUN
ejpam-6012	263	1	=	=	SYM
ejpam-6012	263	2	h′′2	h′′2	PROPN
ejpam-6012	263	3	2	2	NUM
ejpam-6012	263	4	+	+	CCONJ
ejpam-6012	263	5	h′4	h′4	NOUN
ejpam-6012	263	6	2	2	NUM
ejpam-6012	263	7	+	+	CCONJ
ejpam-6012	263	8	h′2	h′2	VERB
ejpam-6012	263	9	2	2	NUM
ejpam-6012	263	10	,	,	PUNCT
ejpam-6012	263	11	which	which	PRON
ejpam-6012	263	12	in	in	ADP
ejpam-6012	263	13	turn	turn	NOUN
ejpam-6012	263	14	exhibits	exhibit	VERB
ejpam-6012	263	15	variational	variational	ADJ
ejpam-6012	263	16	symmetries	symmetry	NOUN
ejpam-6012	263	17	given	give	VERB
ejpam-6012	263	18	by	by	ADP
ejpam-6012	263	19	∂	∂	NUM
ejpam-6012	263	20	∂s	∂s	PROPN
ejpam-6012	263	21	,	,	PUNCT
ejpam-6012	263	22	∂	∂	NUM
ejpam-6012	263	23	∂h	∂h	PROPN
ejpam-6012	263	24	·	·	PUNCT
ejpam-6012	263	25	(	(	PUNCT
ejpam-6012	263	26	65	65	NUM
ejpam-6012	263	27	)	)	PUNCT
ejpam-6012	263	28	for	for	ADP
ejpam-6012	263	29	∂	∂	NOUN
ejpam-6012	263	30	∂h	∂h	PROPN
ejpam-6012	263	31	,	,	PUNCT
ejpam-6012	263	32	the	the	DET
ejpam-6012	263	33	corresponding	corresponding	ADJ
ejpam-6012	263	34	noether	noether	ADJ
ejpam-6012	263	35	first	first	ADJ
ejpam-6012	263	36	integral	integral	ADJ
ejpam-6012	263	37	is	be	AUX
ejpam-6012	263	38	i	i	NOUN
ejpam-6012	263	39	=	=	PUNCT
ejpam-6012	263	40	h′′′	h′′′	PROPN
ejpam-6012	263	41	−	−	PROPN
ejpam-6012	263	42	2h′	2h′	NUM
ejpam-6012	263	43	3	3	NUM
ejpam-6012	263	44	−	−	PROPN
ejpam-6012	263	45	h′.	h′.	PROPN
ejpam-6012	263	46	(	(	PUNCT
ejpam-6012	263	47	66	66	NUM
ejpam-6012	263	48	)	)	PUNCT
ejpam-6012	263	49	now	now	ADV
ejpam-6012	263	50	,	,	PUNCT
ejpam-6012	263	51	dsi	dsi	ADJ
ejpam-6012	263	52	=	=	SYM
ejpam-6012	263	53	0	0	NUM
ejpam-6012	263	54	implies	imply	VERB
ejpam-6012	263	55	i	i	NOUN
ejpam-6012	263	56	=	=	SYM
ejpam-6012	263	57	c	c	X
ejpam-6012	263	58	,	,	PUNCT
ejpam-6012	263	59	that	that	PRON
ejpam-6012	263	60	is	be	AUX
ejpam-6012	263	61	h′′′	h′′′	PROPN
ejpam-6012	263	62	−	−	PROPN
ejpam-6012	263	63	2h′	2h′	NUM
ejpam-6012	263	64	3	3	NUM
ejpam-6012	263	65	−	−	PROPN
ejpam-6012	263	66	h′	h′	X
ejpam-6012	263	67	=	=	SYM
ejpam-6012	263	68	c	c	NOUN
ejpam-6012	263	69	,	,	PUNCT
ejpam-6012	263	70	(	(	PUNCT
ejpam-6012	263	71	67	67	NUM
ejpam-6012	263	72	)	)	PUNCT
ejpam-6012	263	73	where	where	SCONJ
ejpam-6012	263	74	c	c	NOUN
ejpam-6012	263	75	is	be	AUX
ejpam-6012	263	76	any	any	PRON
ejpam-6012	263	77	constant	constant	ADJ
ejpam-6012	263	78	.	.	PUNCT
ejpam-6012	264	1	the	the	DET
ejpam-6012	264	2	polynomial	polynomial	ADJ
ejpam-6012	264	3	solution	solution	NOUN
ejpam-6012	264	4	of	of	ADP
ejpam-6012	264	5	equation	equation	NOUN
ejpam-6012	264	6	(	(	PUNCT
ejpam-6012	264	7	67	67	NUM
ejpam-6012	264	8	)	)	PUNCT
ejpam-6012	264	9	is	be	AUX
ejpam-6012	264	10	h(s	h(	NOUN
ejpam-6012	264	11	)	)	PUNCT
ejpam-6012	265	1	=	=	PRON
ejpam-6012	265	2	(	(	PUNCT
ejpam-6012	265	3	−	−	X
ejpam-6012	265	4	(	(	PUNCT
ejpam-6012	265	5	−54c+	−54c+	ADV
ejpam-6012	265	6	6	6	NUM
ejpam-6012	265	7	√	√	NUM
ejpam-6012	265	8	81c2	81c2	NUM
ejpam-6012	265	9	+	+	CCONJ
ejpam-6012	265	10	6	6	NUM
ejpam-6012	265	11	)	)	SYM
ejpam-6012	265	12	1	1	NUM
ejpam-6012	265	13	3	3	NUM
ejpam-6012	265	14	12	12	NUM
ejpam-6012	265	15	+	+	CCONJ
ejpam-6012	265	16	1	1	NUM
ejpam-6012	265	17	2(−54c+	2(−54c+	NUM
ejpam-6012	265	18	6	6	NUM
ejpam-6012	265	19	√	√	NUM
ejpam-6012	265	20	81c2	81c2	NUM
ejpam-6012	265	21	+	+	CCONJ
ejpam-6012	265	22	6	6	NUM
ejpam-6012	265	23	)	)	SYM
ejpam-6012	265	24	1	1	NUM
ejpam-6012	265	25	3	3	NUM
ejpam-6012	265	26	−	−	NOUN
ejpam-6012	266	1	i	i	PRON
ejpam-6012	266	2	√	√	VERB
ejpam-6012	266	3	3	3	NUM
ejpam-6012	266	4	2	2	NUM
ejpam-6012	266	5	(	(	PUNCT
ejpam-6012	266	6	(	(	PUNCT
ejpam-6012	266	7	−54c+	−54c+	ADV
ejpam-6012	266	8	6	6	NUM
ejpam-6012	266	9	√	√	NUM
ejpam-6012	266	10	81c2	81c2	NUM
ejpam-6012	266	11	+	+	CCONJ
ejpam-6012	266	12	6	6	NUM
ejpam-6012	266	13	)	)	SYM
ejpam-6012	266	14	1	1	NUM
ejpam-6012	266	15	3	3	NUM
ejpam-6012	266	16	6	6	NUM
ejpam-6012	266	17	+	+	NUM
ejpam-6012	266	18	1	1	NUM
ejpam-6012	266	19	(	(	PUNCT
ejpam-6012	266	20	−54c+	−54c+	ADV
ejpam-6012	266	21	6	6	NUM
ejpam-6012	266	22	√	√	NUM
ejpam-6012	266	23	81c2	81c2	NUM
ejpam-6012	266	24	+	+	CCONJ
ejpam-6012	266	25	6	6	NUM
ejpam-6012	266	26	)	)	PUNCT
ejpam-6012	266	27	1	1	NUM
ejpam-6012	266	28	3	3	NUM
ejpam-6012	266	29	)	)	PUNCT
ejpam-6012	266	30	)	)	PUNCT
ejpam-6012	266	31	s+	s+	PUNCT
ejpam-6012	266	32	c1	c1	PROPN
ejpam-6012	266	33	.	.	PUNCT
ejpam-6012	267	1	(	(	PUNCT
ejpam-6012	267	2	68	68	NUM
ejpam-6012	267	3	)	)	PUNCT
ejpam-6012	267	4	by	by	ADP
ejpam-6012	267	5	back	back	ADJ
ejpam-6012	267	6	substitution	substitution	NOUN
ejpam-6012	267	7	of	of	ADP
ejpam-6012	267	8	variables	variable	NOUN
ejpam-6012	267	9	,	,	PUNCT
ejpam-6012	267	10	we	we	PRON
ejpam-6012	267	11	get	get	VERB
ejpam-6012	267	12	p(k	p(k	NOUN
ejpam-6012	267	13	,	,	PUNCT
ejpam-6012	267	14	τ	τ	X
ejpam-6012	267	15	)	)	PUNCT
ejpam-6012	267	16	=	=	SYM
ejpam-6012	267	17	(	(	PUNCT
ejpam-6012	267	18	−	−	X
ejpam-6012	267	19	(	(	PUNCT
ejpam-6012	267	20	−54c+	−54c+	ADV
ejpam-6012	267	21	6	6	NUM
ejpam-6012	267	22	√	√	NUM
ejpam-6012	267	23	81c2	81c2	NUM
ejpam-6012	268	1	+	+	CCONJ
ejpam-6012	268	2	6	6	NUM
ejpam-6012	268	3	)	)	SYM
ejpam-6012	268	4	1	1	NUM
ejpam-6012	268	5	3	3	NUM
ejpam-6012	268	6	12	12	NUM
ejpam-6012	268	7	+	+	CCONJ
ejpam-6012	268	8	1	1	NUM
ejpam-6012	268	9	2(−54c+	2(−54c+	NUM
ejpam-6012	268	10	6	6	NUM
ejpam-6012	268	11	√	√	NUM
ejpam-6012	268	12	81c2	81c2	NUM
ejpam-6012	268	13	+	+	CCONJ
ejpam-6012	268	14	6	6	NUM
ejpam-6012	268	15	)	)	SYM
ejpam-6012	268	16	1	1	NUM
ejpam-6012	268	17	3	3	NUM
ejpam-6012	268	18	−	−	NOUN
ejpam-6012	269	1	i	i	PRON
ejpam-6012	269	2	√	√	VERB
ejpam-6012	269	3	3	3	NUM
ejpam-6012	269	4	2	2	NUM
ejpam-6012	269	5	(	(	PUNCT
ejpam-6012	269	6	(	(	PUNCT
ejpam-6012	269	7	−54c+	−54c+	ADV
ejpam-6012	269	8	6	6	NUM
ejpam-6012	269	9	√	√	NUM
ejpam-6012	269	10	81c2	81c2	NUM
ejpam-6012	269	11	+	+	CCONJ
ejpam-6012	269	12	6	6	NUM
ejpam-6012	269	13	)	)	SYM
ejpam-6012	269	14	1	1	NUM
ejpam-6012	269	15	3	3	NUM
ejpam-6012	269	16	6	6	NUM
ejpam-6012	269	17	+	+	NUM
ejpam-6012	269	18	1	1	NUM
ejpam-6012	269	19	(	(	PUNCT
ejpam-6012	269	20	−54c+	−54c+	ADV
ejpam-6012	269	21	6	6	NUM
ejpam-6012	269	22	√	√	NUM
ejpam-6012	269	23	81c2	81c2	NUM
ejpam-6012	269	24	+	+	CCONJ
ejpam-6012	269	25	6	6	NUM
ejpam-6012	269	26	)	)	PUNCT
ejpam-6012	269	27	1	1	NUM
ejpam-6012	269	28	3	3	NUM
ejpam-6012	269	29	)	)	PUNCT
ejpam-6012	269	30	)	)	PUNCT
ejpam-6012	269	31	(	(	PUNCT
ejpam-6012	269	32	−k	−k	PROPN
ejpam-6012	269	33	+	+	CCONJ
ejpam-6012	269	34	τ	τ	X
ejpam-6012	269	35	)	)	PUNCT
ejpam-6012	269	36	+	+	CCONJ
ejpam-6012	269	37	c1	c1	PROPN
ejpam-6012	269	38	,	,	PUNCT
ejpam-6012	269	39	(	(	PUNCT
ejpam-6012	269	40	69	69	NUM
ejpam-6012	269	41	)	)	PUNCT
ejpam-6012	269	42	this	this	PRON
ejpam-6012	269	43	implies	imply	VERB
ejpam-6012	269	44	,	,	PUNCT
ejpam-6012	269	45	ϑ(α	ϑ(α	PROPN
ejpam-6012	269	46	,	,	PUNCT
ejpam-6012	269	47	β	β	X
ejpam-6012	269	48	,	,	PUNCT
ejpam-6012	269	49	γ	γ	NOUN
ejpam-6012	269	50	)	)	PUNCT
ejpam-6012	269	51	=	=	SYM
ejpam-6012	269	52	(	(	PUNCT
ejpam-6012	269	53	−	−	PROPN
ejpam-6012	269	54	(	(	PUNCT
ejpam-6012	269	55	−54c+	−54c+	ADV
ejpam-6012	269	56	6	6	NUM
ejpam-6012	269	57	√	√	NUM
ejpam-6012	269	58	81c2	81c2	NUM
ejpam-6012	269	59	+	+	CCONJ
ejpam-6012	269	60	6	6	NUM
ejpam-6012	269	61	)	)	SYM
ejpam-6012	269	62	1	1	NUM
ejpam-6012	269	63	3	3	NUM
ejpam-6012	269	64	12	12	NUM
ejpam-6012	269	65	+	+	CCONJ
ejpam-6012	269	66	1	1	NUM
ejpam-6012	269	67	2(−54c+	2(−54c+	NUM
ejpam-6012	269	68	6	6	NUM
ejpam-6012	269	69	√	√	NUM
ejpam-6012	269	70	81c2	81c2	NUM
ejpam-6012	269	71	+	+	CCONJ
ejpam-6012	269	72	6	6	NUM
ejpam-6012	269	73	)	)	SYM
ejpam-6012	269	74	1	1	NUM
ejpam-6012	269	75	3	3	NUM
ejpam-6012	269	76	−	−	NOUN
ejpam-6012	270	1	i	i	PRON
ejpam-6012	270	2	√	√	VERB
ejpam-6012	270	3	3	3	NUM
ejpam-6012	270	4	2	2	NUM
ejpam-6012	270	5	(	(	PUNCT
ejpam-6012	270	6	(	(	PUNCT
ejpam-6012	270	7	−54c+	−54c+	ADV
ejpam-6012	270	8	6	6	NUM
ejpam-6012	270	9	√	√	NUM
ejpam-6012	270	10	81c2	81c2	NUM
ejpam-6012	270	11	+	+	CCONJ
ejpam-6012	270	12	6	6	NUM
ejpam-6012	270	13	)	)	SYM
ejpam-6012	270	14	1	1	NUM
ejpam-6012	270	15	3	3	NUM
ejpam-6012	270	16	6	6	NUM
ejpam-6012	270	17	+	+	NUM
ejpam-6012	270	18	1	1	NUM
ejpam-6012	270	19	(	(	PUNCT
ejpam-6012	270	20	−54c+	−54c+	ADV
ejpam-6012	270	21	6	6	NUM
ejpam-6012	270	22	√	√	NUM
ejpam-6012	270	23	81c2	81c2	NUM
ejpam-6012	270	24	+	+	CCONJ
ejpam-6012	270	25	6	6	NUM
ejpam-6012	270	26	)	)	PUNCT
ejpam-6012	270	27	1	1	NUM
ejpam-6012	270	28	3	3	NUM
ejpam-6012	270	29	)	)	PUNCT
ejpam-6012	270	30	)	)	PUNCT
ejpam-6012	271	1	(	(	PUNCT
ejpam-6012	271	2	−α+	−α+	NOUN
ejpam-6012	271	3	β	β	X
ejpam-6012	271	4	)	)	PUNCT
ejpam-6012	272	1	+	+	CCONJ
ejpam-6012	272	2	c1	c1	NOUN
ejpam-6012	272	3	.	.	PUNCT
ejpam-6012	273	1	(	(	PUNCT
ejpam-6012	273	2	70	70	X
ejpam-6012	273	3	)	)	PUNCT
ejpam-6012	273	4	a.	a.	NOUN
ejpam-6012	273	5	hussain	hussain	PROPN
ejpam-6012	273	6	et	et	PROPN
ejpam-6012	273	7	al	al	PROPN
ejpam-6012	273	8	.	.	PUNCT
ejpam-6012	273	9	/	/	SYM
ejpam-6012	273	10	eur	eur	PROPN
ejpam-6012	273	11	.	.	PUNCT
ejpam-6012	274	1	j.	j.	PROPN
ejpam-6012	274	2	pure	pure	PROPN
ejpam-6012	274	3	appl	appl	PROPN
ejpam-6012	274	4	.	.	PROPN
ejpam-6012	274	5	math	math	PROPN
ejpam-6012	274	6	,	,	PUNCT
ejpam-6012	274	7	18	18	NUM
ejpam-6012	274	8	(	(	PUNCT
ejpam-6012	274	9	3	3	NUM
ejpam-6012	274	10	)	)	PUNCT
ejpam-6012	274	11	(	(	PUNCT
ejpam-6012	274	12	2025	2025	NUM
ejpam-6012	274	13	)	)	PUNCT
ejpam-6012	274	14	,	,	PUNCT
ejpam-6012	274	15	6012	6012	NUM
ejpam-6012	274	16	15	15	NUM
ejpam-6012	274	17	of	of	ADP
ejpam-6012	274	18	20	20	NUM
ejpam-6012	274	19	as	as	ADP
ejpam-6012	274	20	a	a	DET
ejpam-6012	274	21	outcome	outcome	NOUN
ejpam-6012	274	22	,	,	PUNCT
ejpam-6012	274	23	the	the	DET
ejpam-6012	274	24	invariant	invariant	ADJ
ejpam-6012	274	25	solution	solution	NOUN
ejpam-6012	274	26	for	for	ADP
ejpam-6012	274	27	the	the	DET
ejpam-6012	274	28	(	(	PUNCT
ejpam-6012	274	29	3	3	NUM
ejpam-6012	274	30	+	+	NOUN
ejpam-6012	274	31	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	274	32	model	model	NOUN
ejpam-6012	274	33	(	(	PUNCT
ejpam-6012	274	34	4	4	NUM
ejpam-6012	274	35	)	)	PUNCT
ejpam-6012	274	36	is	be	AUX
ejpam-6012	274	37	formulated	formulate	VERB
ejpam-6012	274	38	as	as	SCONJ
ejpam-6012	274	39	follows	follow	VERB
ejpam-6012	274	40	u(x	u(x	NOUN
ejpam-6012	274	41	,	,	PUNCT
ejpam-6012	274	42	y	y	PROPN
ejpam-6012	274	43	,	,	PUNCT
ejpam-6012	274	44	z	z	PROPN
ejpam-6012	274	45	,	,	PUNCT
ejpam-6012	274	46	t	t	PROPN
ejpam-6012	274	47	)	)	PUNCT
ejpam-6012	274	48	=	=	SYM
ejpam-6012	275	1	(	(	PUNCT
ejpam-6012	275	2	−	−	X
ejpam-6012	275	3	(	(	PUNCT
ejpam-6012	275	4	−54c+	−54c+	ADV
ejpam-6012	275	5	6	6	NUM
ejpam-6012	275	6	√	√	NUM
ejpam-6012	275	7	81c2	81c2	NUM
ejpam-6012	275	8	+	+	CCONJ
ejpam-6012	275	9	6	6	NUM
ejpam-6012	275	10	)	)	SYM
ejpam-6012	275	11	1	1	NUM
ejpam-6012	275	12	3	3	NUM
ejpam-6012	275	13	12	12	NUM
ejpam-6012	275	14	+	+	CCONJ
ejpam-6012	275	15	1	1	NUM
ejpam-6012	275	16	2(−54c+	2(−54c+	NUM
ejpam-6012	275	17	6	6	NUM
ejpam-6012	275	18	√	√	NUM
ejpam-6012	275	19	81c2	81c2	NUM
ejpam-6012	275	20	+	+	CCONJ
ejpam-6012	275	21	6	6	NUM
ejpam-6012	275	22	)	)	SYM
ejpam-6012	275	23	1	1	NUM
ejpam-6012	275	24	3	3	NUM
ejpam-6012	275	25	−	−	NOUN
ejpam-6012	276	1	i	i	PRON
ejpam-6012	276	2	√	√	VERB
ejpam-6012	276	3	3	3	NUM
ejpam-6012	276	4	2	2	NUM
ejpam-6012	276	5	(	(	PUNCT
ejpam-6012	276	6	(	(	PUNCT
ejpam-6012	276	7	−54c+	−54c+	ADV
ejpam-6012	276	8	6	6	NUM
ejpam-6012	276	9	√	√	NUM
ejpam-6012	276	10	81c2	81c2	NUM
ejpam-6012	276	11	+	+	CCONJ
ejpam-6012	276	12	6	6	NUM
ejpam-6012	276	13	)	)	SYM
ejpam-6012	276	14	1	1	NUM
ejpam-6012	276	15	3	3	NUM
ejpam-6012	276	16	6	6	NUM
ejpam-6012	276	17	+	+	NUM
ejpam-6012	276	18	1	1	NUM
ejpam-6012	276	19	(	(	PUNCT
ejpam-6012	276	20	−54c+	−54c+	ADV
ejpam-6012	276	21	6	6	NUM
ejpam-6012	276	22	√	√	NUM
ejpam-6012	276	23	81c2	81c2	NUM
ejpam-6012	276	24	+	+	CCONJ
ejpam-6012	276	25	6	6	NUM
ejpam-6012	276	26	)	)	PUNCT
ejpam-6012	276	27	1	1	NUM
ejpam-6012	276	28	3	3	NUM
ejpam-6012	276	29	)	)	PUNCT
ejpam-6012	276	30	)	)	PUNCT
ejpam-6012	277	1	(	(	PUNCT
ejpam-6012	277	2	−t+	−t+	NOUN
ejpam-6012	277	3	x	x	X
ejpam-6012	277	4	)	)	PUNCT
ejpam-6012	277	5	+	+	CCONJ
ejpam-6012	277	6	c1	c1	NOUN
ejpam-6012	277	7	+	+	CCONJ
ejpam-6012	277	8	z	z	PROPN
ejpam-6012	277	9	,	,	PUNCT
ejpam-6012	277	10	(	(	PUNCT
ejpam-6012	277	11	71	71	NUM
ejpam-6012	277	12	)	)	PUNCT
ejpam-6012	277	13	where	where	SCONJ
ejpam-6012	277	14	c1	c1	PROPN
ejpam-6012	277	15	is	be	AUX
ejpam-6012	277	16	any	any	DET
ejpam-6012	277	17	constant	constant	ADJ
ejpam-6012	277	18	.	.	PUNCT
ejpam-6012	278	1	comment	comment	NOUN
ejpam-6012	278	2	1	1	NUM
ejpam-6012	278	3	.	.	NOUN
ejpam-6012	278	4	4	4	NUM
ejpam-6012	278	5	.	.	X
ejpam-6012	278	6	conservation	conservation	NOUN
ejpam-6012	278	7	laws	law	NOUN
ejpam-6012	278	8	let	let	VERB
ejpam-6012	278	9	λ	λ	PART
ejpam-6012	278	10	denote	denote	VERB
ejpam-6012	278	11	the	the	DET
ejpam-6012	278	12	multiplier	multipli	ADJ
ejpam-6012	278	13	or	or	CCONJ
ejpam-6012	278	14	characteristic	characteristic	ADJ
ejpam-6012	278	15	function	function	NOUN
ejpam-6012	278	16	[	[	X
ejpam-6012	278	17	16	16	NUM
ejpam-6012	278	18	]	]	PUNCT
ejpam-6012	278	19	depending	depend	VERB
ejpam-6012	278	20	on	on	ADP
ejpam-6012	278	21	x	x	PROPN
ejpam-6012	278	22	,	,	PUNCT
ejpam-6012	278	23	y	y	PROPN
ejpam-6012	278	24	,	,	PUNCT
ejpam-6012	278	25	z	z	PROPN
ejpam-6012	278	26	,	,	PUNCT
ejpam-6012	278	27	t	t	PROPN
ejpam-6012	278	28	,	,	PUNCT
ejpam-6012	278	29	u	u	NOUN
ejpam-6012	278	30	and	and	CCONJ
ejpam-6012	278	31	the	the	DET
ejpam-6012	278	32	firstand	firstand	ADJ
ejpam-6012	278	33	second	second	ADJ
ejpam-6012	278	34	-	-	PUNCT
ejpam-6012	278	35	order	order	NOUN
ejpam-6012	278	36	derivatives	derivative	NOUN
ejpam-6012	278	37	of	of	ADP
ejpam-6012	278	38	u.	u.	NOUN
ejpam-6012	278	39	then	then	ADV
ejpam-6012	278	40	for	for	ADP
ejpam-6012	278	41	(	(	PUNCT
ejpam-6012	278	42	4	4	NUM
ejpam-6012	278	43	)	)	PUNCT
ejpam-6012	278	44	,	,	PUNCT
ejpam-6012	278	45	we	we	PRON
ejpam-6012	278	46	have	have	VERB
ejpam-6012	278	47	the	the	DET
ejpam-6012	278	48	following	follow	VERB
ejpam-6012	278	49	relation	relation	NOUN
ejpam-6012	278	50	dtt	dtt	VERB
ejpam-6012	278	51	t+dxt	t+dxt	NOUN
ejpam-6012	278	52	x+dyt	x+dyt	PROPN
ejpam-6012	279	1	y+dzt	y+dzt	X
ejpam-6012	279	2	z	z	NOUN
ejpam-6012	280	1	=	=	PUNCT
ejpam-6012	281	1	λ(uxt+uxxxx−6u2xuxx+	λ(uxt+uxxxx−6u2xuxx+	PROPN
ejpam-6012	282	1	3	3	NUM
ejpam-6012	282	2	2	2	NUM
ejpam-6012	282	3	uxxuy+	uxxuy+	NOUN
ejpam-6012	282	4	3	3	NUM
ejpam-6012	282	5	2	2	NUM
ejpam-6012	282	6	uxuxy−auzz	uxuxy−auzz	NOUN
ejpam-6012	282	7	)	)	PUNCT
ejpam-6012	282	8	.	.	PUNCT
ejpam-6012	283	1	(	(	PUNCT
ejpam-6012	283	2	72	72	NUM
ejpam-6012	283	3	)	)	PUNCT
ejpam-6012	283	4	by	by	ADP
ejpam-6012	283	5	applying	apply	VERB
ejpam-6012	283	6	the	the	DET
ejpam-6012	283	7	euler	euler	NOUN
ejpam-6012	283	8	operator	operator	NOUN
ejpam-6012	283	9	δ	δ	PROPN
ejpam-6012	283	10	δu	δu	X
ejpam-6012	283	11	on	on	ADP
ejpam-6012	283	12	(	(	PUNCT
ejpam-6012	283	13	72	72	NUM
ejpam-6012	283	14	)	)	PUNCT
ejpam-6012	283	15	,	,	PUNCT
ejpam-6012	283	16	we	we	PRON
ejpam-6012	283	17	acquire	acquire	VERB
ejpam-6012	283	18	δ	δ	PROPN
ejpam-6012	283	19	δu	δu	ADP
ejpam-6012	283	20	(	(	PUNCT
ejpam-6012	283	21	uxt	uxt	NOUN
ejpam-6012	283	22	+	+	CCONJ
ejpam-6012	283	23	uxxxx	uxxxx	ADJ
ejpam-6012	283	24	−	−	PROPN
ejpam-6012	283	25	6u2xuxx	6u2xuxx	NOUN
ejpam-6012	283	26	+	+	CCONJ
ejpam-6012	283	27	3	3	NUM
ejpam-6012	283	28	2	2	NUM
ejpam-6012	283	29	uxxuy	uxxuy	NOUN
ejpam-6012	283	30	+	+	NOUN
ejpam-6012	283	31	3	3	NUM
ejpam-6012	283	32	2	2	NUM
ejpam-6012	283	33	uxuxy	uxuxy	NOUN
ejpam-6012	283	34	−	−	NOUN
ejpam-6012	283	35	auzz	auzz	NOUN
ejpam-6012	283	36	)	)	PUNCT
ejpam-6012	284	1	=	=	SYM
ejpam-6012	284	2	0	0	X
ejpam-6012	284	3	.	.	PUNCT
ejpam-6012	285	1	(	(	PUNCT
ejpam-6012	285	2	73	73	NUM
ejpam-6012	285	3	)	)	PUNCT
ejpam-6012	285	4	the	the	DET
ejpam-6012	285	5	determining	determine	VERB
ejpam-6012	285	6	equations	equation	NOUN
ejpam-6012	285	7	obtained	obtain	VERB
ejpam-6012	285	8	using	use	VERB
ejpam-6012	285	9	(	(	PUNCT
ejpam-6012	285	10	73	73	NUM
ejpam-6012	285	11	)	)	PUNCT
ejpam-6012	285	12	are	be	AUX
ejpam-6012	285	13	described	describe	VERB
ejpam-6012	285	14	as	as	ADP
ejpam-6012	285	15	λzz	λzz	NOUN
ejpam-6012	285	16	=	=	SYM
ejpam-6012	285	17	0	0	NUM
ejpam-6012	285	18	,	,	PUNCT
ejpam-6012	285	19	λx	λx	NOUN
ejpam-6012	285	20	=	=	SYM
ejpam-6012	285	21	0	0	PROPN
ejpam-6012	285	22	,	,	PUNCT
ejpam-6012	285	23	λu	λu	X
ejpam-6012	285	24	=	=	SYM
ejpam-6012	285	25	0	0	PROPN
ejpam-6012	285	26	,	,	PUNCT
ejpam-6012	285	27	λuxt	λuxt	NOUN
ejpam-6012	285	28	=	=	SYM
ejpam-6012	285	29	0	0	NUM
ejpam-6012	285	30	,	,	PUNCT
ejpam-6012	285	31	λuxx	λuxx	NOUN
ejpam-6012	285	32	=	=	SYM
ejpam-6012	285	33	0	0	NUM
ejpam-6012	285	34	,	,	PUNCT
ejpam-6012	285	35	λuxy	λuxy	X
ejpam-6012	285	36	=	=	SYM
ejpam-6012	285	37	0	0	NUM
ejpam-6012	285	38	,	,	PUNCT
ejpam-6012	285	39	λuzz	λuzz	X
ejpam-6012	285	40	=	=	PUNCT
ejpam-6012	286	1	0	0	X
ejpam-6012	286	2	.	.	PUNCT
ejpam-6012	287	1	(	(	PUNCT
ejpam-6012	287	2	74	74	NUM
ejpam-6012	287	3	)	)	PUNCT
ejpam-6012	287	4	the	the	DET
ejpam-6012	287	5	solution	solution	NOUN
ejpam-6012	287	6	of	of	ADP
ejpam-6012	287	7	(	(	PUNCT
ejpam-6012	287	8	3	3	X
ejpam-6012	287	9	)	)	PUNCT
ejpam-6012	287	10	yields	yield	VERB
ejpam-6012	287	11	the	the	DET
ejpam-6012	287	12	multipliers	multiplier	NOUN
ejpam-6012	287	13	for	for	ADP
ejpam-6012	287	14	(	(	PUNCT
ejpam-6012	287	15	4	4	NUM
ejpam-6012	287	16	)	)	PUNCT
ejpam-6012	287	17	,	,	PUNCT
ejpam-6012	287	18	which	which	PRON
ejpam-6012	287	19	are	be	AUX
ejpam-6012	287	20	stated	state	VERB
ejpam-6012	287	21	as	as	SCONJ
ejpam-6012	287	22	follows	follow	VERB
ejpam-6012	287	23	λ	λ	PROPN
ejpam-6012	287	24	=	=	SYM
ejpam-6012	287	25	f1(y	f1(y	PROPN
ejpam-6012	287	26	,	,	PUNCT
ejpam-6012	287	27	t)z	t)z	NOUN
ejpam-6012	287	28	+	+	CCONJ
ejpam-6012	287	29	f2(y	f2(y	PROPN
ejpam-6012	287	30	,	,	PUNCT
ejpam-6012	287	31	t	t	PROPN
ejpam-6012	287	32	)	)	PUNCT
ejpam-6012	287	33	.	.	PUNCT
ejpam-6012	288	1	(	(	PUNCT
ejpam-6012	288	2	75	75	NUM
ejpam-6012	288	3	)	)	PUNCT
ejpam-6012	288	4	to	to	PART
ejpam-6012	288	5	obtain	obtain	VERB
ejpam-6012	288	6	the	the	DET
ejpam-6012	288	7	local	local	ADJ
ejpam-6012	288	8	conservation	conservation	NOUN
ejpam-6012	288	9	laws	law	NOUN
ejpam-6012	288	10	for	for	ADP
ejpam-6012	288	11	(	(	PUNCT
ejpam-6012	288	12	4	4	NUM
ejpam-6012	288	13	)	)	PUNCT
ejpam-6012	288	14	,	,	PUNCT
ejpam-6012	288	15	the	the	DET
ejpam-6012	288	16	results	result	NOUN
ejpam-6012	288	17	of	of	ADP
ejpam-6012	288	18	(	(	PUNCT
ejpam-6012	288	19	75	75	NUM
ejpam-6012	288	20	)	)	PUNCT
ejpam-6012	288	21	indicate	indicate	VERB
ejpam-6012	288	22	further	further	ADJ
ejpam-6012	288	23	classification	classification	NOUN
ejpam-6012	288	24	of	of	ADP
ejpam-6012	288	25	the	the	DET
ejpam-6012	288	26	functions	function	NOUN
ejpam-6012	288	27	f1(y	f1(y	PROPN
ejpam-6012	288	28	,	,	PUNCT
ejpam-6012	288	29	t	t	PROPN
ejpam-6012	288	30	)	)	PUNCT
ejpam-6012	288	31	and	and	CCONJ
ejpam-6012	288	32	f2(y	f2(y	PROPN
ejpam-6012	288	33	,	,	PUNCT
ejpam-6012	288	34	t	t	PROPN
ejpam-6012	288	35	)	)	PUNCT
ejpam-6012	288	36	.	.	PUNCT
ejpam-6012	289	1	in	in	ADP
ejpam-6012	289	2	addition	addition	NOUN
ejpam-6012	289	3	,	,	PUNCT
ejpam-6012	289	4	the	the	DET
ejpam-6012	289	5	multiplier	multipli	ADJ
ejpam-6012	289	6	can	can	AUX
ejpam-6012	289	7	be	be	AUX
ejpam-6012	289	8	used	use	VERB
ejpam-6012	289	9	to	to	PART
ejpam-6012	289	10	obtain	obtain	VERB
ejpam-6012	289	11	the	the	DET
ejpam-6012	289	12	potential	potential	ADJ
ejpam-6012	289	13	symmetries	symmetry	NOUN
ejpam-6012	289	14	.	.	PUNCT
ejpam-6012	290	1	5	5	X
ejpam-6012	290	2	.	.	X
ejpam-6012	290	3	non	non	ADJ
ejpam-6012	290	4	-	-	ADJ
ejpam-6012	290	5	local	local	ADJ
ejpam-6012	290	6	conservation	conservation	NOUN
ejpam-6012	290	7	laws	law	NOUN
ejpam-6012	290	8	for	for	ADP
ejpam-6012	290	9	the	the	DET
ejpam-6012	290	10	eq	eq	NOUN
ejpam-6012	290	11	(	(	PUNCT
ejpam-6012	290	12	4	4	NUM
ejpam-6012	290	13	)	)	PUNCT
ejpam-6012	290	14	in	in	ADP
ejpam-6012	290	15	the	the	DET
ejpam-6012	290	16	referenced	referenced	ADJ
ejpam-6012	290	17	work	work	NOUN
ejpam-6012	290	18	[	[	X
ejpam-6012	290	19	17	17	NUM
ejpam-6012	290	20	]	]	PUNCT
ejpam-6012	290	21	,	,	PUNCT
ejpam-6012	290	22	ibragimov	ibragimov	ADJ
ejpam-6012	290	23	’s	’s	PART
ejpam-6012	290	24	pioneering	pioneer	VERB
ejpam-6012	290	25	theorem	theorem	ADJ
ejpam-6012	290	26	centers	center	NOUN
ejpam-6012	290	27	on	on	ADP
ejpam-6012	290	28	the	the	DET
ejpam-6012	290	29	conserved	conserve	VERB
ejpam-6012	290	30	flow	flow	NOUN
ejpam-6012	290	31	of	of	ADP
ejpam-6012	290	32	differential	differential	ADJ
ejpam-6012	290	33	equations	equation	NOUN
ejpam-6012	290	34	.	.	PUNCT
ejpam-6012	291	1	this	this	DET
ejpam-6012	291	2	theorem	theorem	NOUN
ejpam-6012	291	3	demonstrates	demonstrate	VERB
ejpam-6012	291	4	significant	significant	ADJ
ejpam-6012	291	5	applicability	applicability	NOUN
ejpam-6012	291	6	to	to	ADP
ejpam-6012	291	7	systems	system	NOUN
ejpam-6012	291	8	of	of	ADP
ejpam-6012	291	9	differential	differential	ADJ
ejpam-6012	291	10	equations	equation	NOUN
ejpam-6012	291	11	,	,	PUNCT
ejpam-6012	291	12	where	where	SCONJ
ejpam-6012	291	13	the	the	DET
ejpam-6012	291	14	number	number	NOUN
ejpam-6012	291	15	of	of	ADP
ejpam-6012	291	16	equations	equation	NOUN
ejpam-6012	291	17	aligns	align	VERB
ejpam-6012	291	18	with	with	ADP
ejpam-6012	291	19	the	the	DET
ejpam-6012	291	20	number	number	NOUN
ejpam-6012	291	21	of	of	ADP
ejpam-6012	291	22	dependent	dependent	ADJ
ejpam-6012	291	23	variables	variable	NOUN
ejpam-6012	291	24	.	.	PUNCT
ejpam-6012	292	1	we	we	PRON
ejpam-6012	292	2	consider	consider	VERB
ejpam-6012	292	3	a	a	DET
ejpam-6012	292	4	kth	kth	PROPN
ejpam-6012	292	5	order	order	NOUN
ejpam-6012	292	6	pde	pde	NOUN
ejpam-6012	292	7	given	give	VERB
ejpam-6012	292	8	as	as	ADP
ejpam-6012	292	9	g	g	PROPN
ejpam-6012	292	10	=	=	SYM
ejpam-6012	292	11	g(x	g(x	PROPN
ejpam-6012	292	12	,	,	PUNCT
ejpam-6012	292	13	u	u	NOUN
ejpam-6012	292	14	,	,	PUNCT
ejpam-6012	292	15	u1	u1	NOUN
ejpam-6012	292	16	,	,	PUNCT
ejpam-6012	292	17	u2	u2	NOUN
ejpam-6012	292	18	,	,	PUNCT
ejpam-6012	292	19	...	...	PUNCT
ejpam-6012	292	20	,	,	PUNCT
ejpam-6012	292	21	up	up	ADP
ejpam-6012	292	22	)	)	PUNCT
ejpam-6012	292	23	.	.	PUNCT
ejpam-6012	293	1	(	(	PUNCT
ejpam-6012	293	2	76	76	NUM
ejpam-6012	293	3	)	)	PUNCT
ejpam-6012	293	4	a.	a.	NOUN
ejpam-6012	293	5	hussain	hussain	PROPN
ejpam-6012	293	6	et	et	PROPN
ejpam-6012	293	7	al	al	PROPN
ejpam-6012	293	8	.	.	PUNCT
ejpam-6012	293	9	/	/	SYM
ejpam-6012	293	10	eur	eur	PROPN
ejpam-6012	293	11	.	.	PUNCT
ejpam-6012	294	1	j.	j.	PROPN
ejpam-6012	294	2	pure	pure	PROPN
ejpam-6012	294	3	appl	appl	PROPN
ejpam-6012	294	4	.	.	PROPN
ejpam-6012	294	5	math	math	PROPN
ejpam-6012	294	6	,	,	PUNCT
ejpam-6012	294	7	18	18	NUM
ejpam-6012	294	8	(	(	PUNCT
ejpam-6012	294	9	3	3	NUM
ejpam-6012	294	10	)	)	PUNCT
ejpam-6012	294	11	(	(	PUNCT
ejpam-6012	294	12	2025	2025	NUM
ejpam-6012	294	13	)	)	PUNCT
ejpam-6012	294	14	,	,	PUNCT
ejpam-6012	294	15	6012	6012	NUM
ejpam-6012	294	16	16	16	NUM
ejpam-6012	294	17	of	of	ADP
ejpam-6012	294	18	20	20	NUM
ejpam-6012	294	19	in	in	ADP
ejpam-6012	294	20	this	this	DET
ejpam-6012	294	21	context	context	NOUN
ejpam-6012	294	22	,	,	PUNCT
ejpam-6012	294	23	u	u	NOUN
ejpam-6012	294	24	=	=	SYM
ejpam-6012	294	25	u(x	u(x	PROPN
ejpam-6012	294	26	)	)	PUNCT
ejpam-6012	294	27	and	and	CCONJ
ejpam-6012	294	28	x	x	X
ejpam-6012	294	29	=	=	PUNCT
ejpam-6012	294	30	x(x1	x(x1	NOUN
ejpam-6012	294	31	,	,	PUNCT
ejpam-6012	294	32	x2	x2	PROPN
ejpam-6012	294	33	,	,	PUNCT
ejpam-6012	294	34	...	...	PUNCT
ejpam-6012	294	35	,	,	PUNCT
ejpam-6012	294	36	xm	xm	PROPN
ejpam-6012	294	37	)	)	PUNCT
ejpam-6012	294	38	.	.	PUNCT
ejpam-6012	295	1	given	give	VERB
ejpam-6012	295	2	the	the	DET
ejpam-6012	295	3	formal	formal	ADJ
ejpam-6012	295	4	lagrangian	lagrangian	NOUN
ejpam-6012	295	5	for	for	ADP
ejpam-6012	295	6	eq	eq	NOUN
ejpam-6012	295	7	(	(	PUNCT
ejpam-6012	295	8	76	76	NUM
ejpam-6012	295	9	)	)	PUNCT
ejpam-6012	295	10	,	,	PUNCT
ejpam-6012	295	11	an	an	DET
ejpam-6012	295	12	adjoint	adjoint	NOUN
ejpam-6012	295	13	equation	equation	NOUN
ejpam-6012	295	14	can	can	AUX
ejpam-6012	295	15	be	be	AUX
ejpam-6012	295	16	followed	follow	VERB
ejpam-6012	295	17	by	by	ADP
ejpam-6012	295	18	g⋆	g⋆	NOUN
ejpam-6012	295	19	≡	≡	PROPN
ejpam-6012	295	20	δ	δ	PROPN
ejpam-6012	295	21	δu	δu	X
ejpam-6012	295	22	(	(	PUNCT
ejpam-6012	295	23	vg	vg	NOUN
ejpam-6012	295	24	)	)	PUNCT
ejpam-6012	295	25	,	,	PUNCT
ejpam-6012	295	26	(	(	PUNCT
ejpam-6012	295	27	77	77	NUM
ejpam-6012	295	28	)	)	PUNCT
ejpam-6012	295	29	where	where	SCONJ
ejpam-6012	295	30	the	the	DET
ejpam-6012	295	31	euler	euler	PROPN
ejpam-6012	295	32	-	-	PUNCT
ejpam-6012	295	33	lagrange	lagrange	NOUN
ejpam-6012	295	34	operator	operator	NOUN
ejpam-6012	295	35	δ	δ	PROPN
ejpam-6012	295	36	δu	δu	NOUN
ejpam-6012	295	37	in	in	ADP
ejpam-6012	295	38	symmetric	symmetric	ADJ
ejpam-6012	295	39	form	form	NOUN
ejpam-6012	295	40	is	be	AUX
ejpam-6012	295	41	given	give	VERB
ejpam-6012	295	42	by	by	ADP
ejpam-6012	295	43	δ	δ	PROPN
ejpam-6012	295	44	δu	δu	ADP
ejpam-6012	295	45	=	=	SYM
ejpam-6012	295	46	∂	∂	NUM
ejpam-6012	295	47	∂u	∂u	NOUN
ejpam-6012	296	1	+	+	CCONJ
ejpam-6012	296	2	∞∑	∞∑	NUM
ejpam-6012	296	3	i=1	i=1	X
ejpam-6012	297	1	(	(	PUNCT
ejpam-6012	297	2	−1)sdi1	−1)sdi1	NUM
ejpam-6012	297	3	...	...	PUNCT
ejpam-6012	297	4	dis	dis	PROPN
ejpam-6012	297	5	∂	∂	NOUN
ejpam-6012	297	6	∂ui1	∂ui1	X
ejpam-6012	297	7	...	...	PUNCT
ejpam-6012	297	8	is	be	AUX
ejpam-6012	297	9	,	,	PUNCT
ejpam-6012	297	10	(	(	PUNCT
ejpam-6012	297	11	78	78	NUM
ejpam-6012	297	12	)	)	PUNCT
ejpam-6012	297	13	and	and	CCONJ
ejpam-6012	297	14	the	the	DET
ejpam-6012	297	15	differential	differential	ADJ
ejpam-6012	297	16	operator	operator	NOUN
ejpam-6012	297	17	di	di	NOUN
ejpam-6012	297	18	is	be	AUX
ejpam-6012	297	19	defined	define	VERB
ejpam-6012	297	20	by	by	ADP
ejpam-6012	297	21	di	di	X
ejpam-6012	297	22	=	=	SYM
ejpam-6012	297	23	∂	∂	NUM
ejpam-6012	297	24	∂xi	∂xi	NOUN
ejpam-6012	297	25	+	+	CCONJ
ejpam-6012	297	26	ui	ui	PROPN
ejpam-6012	297	27	∂	∂	NOUN
ejpam-6012	297	28	∂u	∂u	PROPN
ejpam-6012	298	1	+	+	CCONJ
ejpam-6012	298	2	uij	uij	PROPN
ejpam-6012	298	3	∂	∂	NUM
ejpam-6012	298	4	∂uj	∂uj	PROPN
ejpam-6012	298	5	+	+	X
ejpam-6012	298	6	.	.	PUNCT
ejpam-6012	298	7	.	.	PUNCT
ejpam-6012	298	8	.	.	PUNCT
ejpam-6012	298	9	.	.	PUNCT
ejpam-6012	299	1	(	(	PUNCT
ejpam-6012	299	2	79	79	NUM
ejpam-6012	299	3	)	)	PUNCT
ejpam-6012	299	4	theorem	theorem	NOUN
ejpam-6012	299	5	2	2	NUM
ejpam-6012	299	6	.	.	X
ejpam-6012	299	7	for	for	ADP
ejpam-6012	299	8	any	any	DET
ejpam-6012	299	9	symmetry	symmetry	NOUN
ejpam-6012	299	10	lie	lie	NOUN
ejpam-6012	299	11	point	point	NOUN
ejpam-6012	299	12	,	,	PUNCT
ejpam-6012	299	13	lie	lie	NOUN
ejpam-6012	299	14	-	-	PUNCT
ejpam-6012	299	15	bäcklund	bäcklund	NOUN
ejpam-6012	299	16	,	,	PUNCT
ejpam-6012	299	17	or	or	CCONJ
ejpam-6012	299	18	nonlocal	nonlocal	ADJ
ejpam-6012	299	19	of	of	ADP
ejpam-6012	299	20	eq	eq	NOUN
ejpam-6012	299	21	(	(	PUNCT
ejpam-6012	299	22	76	76	NUM
ejpam-6012	299	23	)	)	PUNCT
ejpam-6012	299	24	given	give	VERB
ejpam-6012	299	25	by	by	ADP
ejpam-6012	299	26	v	v	NOUN
ejpam-6012	299	27	=	=	SYM
ejpam-6012	299	28	ϕi	ϕi	ADP
ejpam-6012	299	29	∂	∂	NUM
ejpam-6012	299	30	∂xi	∂xi	NOUN
ejpam-6012	299	31	+	+	CCONJ
ejpam-6012	299	32	ς	ς	PROPN
ejpam-6012	299	33	∂	∂	NOUN
ejpam-6012	299	34	∂u	∂u	PROPN
ejpam-6012	299	35	,	,	PUNCT
ejpam-6012	299	36	(	(	PUNCT
ejpam-6012	299	37	80	80	NUM
ejpam-6012	299	38	)	)	PUNCT
ejpam-6012	299	39	where	where	SCONJ
ejpam-6012	299	40	l	l	NOUN
ejpam-6012	299	41	serves	serve	VERB
ejpam-6012	299	42	as	as	ADP
ejpam-6012	299	43	a	a	DET
ejpam-6012	299	44	formal	formal	ADJ
ejpam-6012	299	45	lagrangian	lagrangian	NOUN
ejpam-6012	299	46	,	,	PUNCT
ejpam-6012	299	47	the	the	DET
ejpam-6012	299	48	conserved	conserved	ADJ
ejpam-6012	299	49	vectors	vector	NOUN
ejpam-6012	299	50	for	for	ADP
ejpam-6012	299	51	eq	eq	NOUN
ejpam-6012	299	52	(	(	PUNCT
ejpam-6012	299	53	77	77	NUM
ejpam-6012	299	54	)	)	PUNCT
ejpam-6012	299	55	can	can	AUX
ejpam-6012	299	56	be	be	AUX
ejpam-6012	299	57	formally	formally	ADV
ejpam-6012	299	58	defined	define	VERB
ejpam-6012	299	59	as	as	ADP
ejpam-6012	299	60	w	w	NOUN
ejpam-6012	299	61	i	i	NOUN
ejpam-6012	299	62	=	=	NOUN
ejpam-6012	299	63	ϕil+n	ϕil+n	PROPN
ejpam-6012	300	1	[	[	PUNCT
ejpam-6012	300	2	∂l	∂l	PROPN
ejpam-6012	300	3	∂ui	∂ui	PROPN
ejpam-6012	300	4	−dj	−dj	NOUN
ejpam-6012	301	1	(	(	PUNCT
ejpam-6012	301	2	∂l	∂l	VERB
ejpam-6012	301	3	∂uij	∂uij	PRON
ejpam-6012	301	4	)	)	PUNCT
ejpam-6012	302	1	+	+	ADP
ejpam-6012	302	2	djdk	djdk	ADJ
ejpam-6012	302	3	(	(	PUNCT
ejpam-6012	302	4	∂l	∂l	PROPN
ejpam-6012	302	5	∂uijk	∂uijk	X
ejpam-6012	302	6	)	)	PUNCT
ejpam-6012	302	7	+	+	CCONJ
ejpam-6012	302	8	...	...	PUNCT
ejpam-6012	302	9	]	]	PUNCT
ejpam-6012	302	10	+	+	X
ejpam-6012	302	11	dj(n	dj(n	NUM
ejpam-6012	302	12	)	)	PUNCT
ejpam-6012	302	13	[	[	PUNCT
ejpam-6012	302	14	∂l	∂l	X
ejpam-6012	302	15	∂uij	∂uij	PRON
ejpam-6012	302	16	−dk	−dk	INTJ
ejpam-6012	302	17	(	(	PUNCT
ejpam-6012	302	18	∂l	∂l	X
ejpam-6012	302	19	∂uijk	∂uijk	X
ejpam-6012	302	20	)	)	PUNCT
ejpam-6012	303	1	+	+	CCONJ
ejpam-6012	303	2	...	...	PUNCT
ejpam-6012	303	3	]	]	PUNCT
ejpam-6012	304	1	+	+	PUNCT
ejpam-6012	304	2	djdk(n	djdk(n	X
ejpam-6012	304	3	)	)	PUNCT
ejpam-6012	304	4	[	[	PUNCT
ejpam-6012	304	5	∂l	∂l	X
ejpam-6012	304	6	∂uijk	∂uijk	NOUN
ejpam-6012	304	7	+	+	CCONJ
ejpam-6012	304	8	...	...	PUNCT
ejpam-6012	304	9	]	]	PUNCT
ejpam-6012	304	10	·	·	PUNCT
ejpam-6012	304	11	·	·	PUNCT
ejpam-6012	304	12	·	·	PUNCT
ejpam-6012	304	13	(	(	PUNCT
ejpam-6012	304	14	81	81	NUM
ejpam-6012	304	15	)	)	PUNCT
ejpam-6012	304	16	in	in	ADP
ejpam-6012	304	17	this	this	DET
ejpam-6012	304	18	context	context	NOUN
ejpam-6012	304	19	,	,	PUNCT
ejpam-6012	304	20	n	n	PRON
ejpam-6012	304	21	is	be	AUX
ejpam-6012	304	22	defined	define	VERB
ejpam-6012	304	23	as	as	ADP
ejpam-6012	304	24	n	n	NOUN
ejpam-6012	304	25	=	=	SYM
ejpam-6012	304	26	ς	ς	PROPN
ejpam-6012	304	27	−	−	NOUN
ejpam-6012	304	28	ϕiui	ϕiui	NOUN
ejpam-6012	304	29	,	,	PUNCT
ejpam-6012	304	30	(	(	PUNCT
ejpam-6012	304	31	82	82	NUM
ejpam-6012	304	32	)	)	PUNCT
ejpam-6012	304	33	where	where	SCONJ
ejpam-6012	304	34	di	di	X
ejpam-6012	304	35	(	(	PUNCT
ejpam-6012	304	36	w	w	NOUN
ejpam-6012	304	37	i	i	NOUN
ejpam-6012	304	38	)	)	PUNCT
ejpam-6012	305	1	=	=	SYM
ejpam-6012	305	2	0	0	X
ejpam-6012	305	3	.	.	PUNCT
ejpam-6012	305	4	theorem	theorem	NOUN
ejpam-6012	305	5	3	3	NUM
ejpam-6012	305	6	.	.	PUNCT
ejpam-6012	306	1	[	[	X
ejpam-6012	306	2	17	17	NUM
ejpam-6012	306	3	]	]	PUNCT
ejpam-6012	306	4	the	the	DET
ejpam-6012	306	5	adjoint	adjoint	NOUN
ejpam-6012	306	6	equation	equation	NOUN
ejpam-6012	306	7	for	for	ADP
ejpam-6012	306	8	the	the	DET
ejpam-6012	306	9	nonlinear	nonlinear	ADJ
ejpam-6012	306	10	model	model	NOUN
ejpam-6012	306	11	described	describe	VERB
ejpam-6012	306	12	in	in	ADP
ejpam-6012	306	13	eq	eq	PROPN
ejpam-6012	306	14	(	(	PUNCT
ejpam-6012	306	15	4	4	NUM
ejpam-6012	306	16	)	)	PUNCT
ejpam-6012	306	17	is	be	AUX
ejpam-6012	306	18	represented	represent	VERB
ejpam-6012	306	19	as	as	SCONJ
ejpam-6012	306	20	follows	follow	VERB
ejpam-6012	306	21	g⋆	g⋆	X
ejpam-6012	306	22	=	=	SYM
ejpam-6012	306	23	12uxuxxvx	12uxuxxvx	NUM
ejpam-6012	307	1	+	+	CCONJ
ejpam-6012	307	2	3uxyvx	3uxyvx	NUM
ejpam-6012	307	3	+	+	NUM
ejpam-6012	307	4	3	3	NUM
ejpam-6012	307	5	2	2	NUM
ejpam-6012	307	6	uyvxx	uyvxx	NOUN
ejpam-6012	307	7	−	−	PROPN
ejpam-6012	307	8	6vxxu	6vxxu	NUM
ejpam-6012	307	9	2	2	NUM
ejpam-6012	307	10	x	x	SYM
ejpam-6012	307	11	+	+	CCONJ
ejpam-6012	307	12	3	3	NUM
ejpam-6012	307	13	2	2	NUM
ejpam-6012	307	14	uxvxy	uxvxy	NOUN
ejpam-6012	307	15	+	+	CCONJ
ejpam-6012	307	16	vxt	vxt	NOUN
ejpam-6012	307	17	−	−	NOUN
ejpam-6012	307	18	αvzz	αvzz	NOUN
ejpam-6012	307	19	+	+	CCONJ
ejpam-6012	307	20	vxxxx	vxxxx	ADJ
ejpam-6012	307	21	=	=	SYM
ejpam-6012	307	22	0	0	NUM
ejpam-6012	307	23	,	,	PUNCT
ejpam-6012	307	24	(	(	PUNCT
ejpam-6012	307	25	83	83	NUM
ejpam-6012	307	26	)	)	PUNCT
ejpam-6012	307	27	where	where	SCONJ
ejpam-6012	307	28	l	l	NOUN
ejpam-6012	307	29	=	=	SYM
ejpam-6012	307	30	v(x	v(x	PROPN
ejpam-6012	307	31	,	,	PUNCT
ejpam-6012	307	32	y	y	PROPN
ejpam-6012	307	33	,	,	PUNCT
ejpam-6012	307	34	z	z	PROPN
ejpam-6012	307	35	,	,	PUNCT
ejpam-6012	307	36	t	t	PROPN
ejpam-6012	307	37	)	)	PUNCT
ejpam-6012	307	38	(	(	PUNCT
ejpam-6012	307	39	uxt	uxt	NOUN
ejpam-6012	307	40	+	+	CCONJ
ejpam-6012	307	41	uxxxx	uxxxx	ADJ
ejpam-6012	308	1	−	−	PROPN
ejpam-6012	308	2	6u2xuxx	6u2xuxx	NOUN
ejpam-6012	308	3	+	+	CCONJ
ejpam-6012	308	4	3	3	NUM
ejpam-6012	308	5	2	2	NUM
ejpam-6012	308	6	uxxuy	uxxuy	NOUN
ejpam-6012	308	7	+	+	NOUN
ejpam-6012	308	8	3	3	NUM
ejpam-6012	308	9	2	2	NUM
ejpam-6012	308	10	uxuxy	uxuxy	NOUN
ejpam-6012	308	11	−	−	NOUN
ejpam-6012	308	12	auzz	auzz	NOUN
ejpam-6012	308	13	)	)	PUNCT
ejpam-6012	308	14	.	.	PUNCT
ejpam-6012	309	1	(	(	PUNCT
ejpam-6012	309	2	84	84	NUM
ejpam-6012	309	3	)	)	PUNCT
ejpam-6012	309	4	according	accord	VERB
ejpam-6012	309	5	to	to	ADP
ejpam-6012	309	6	the	the	DET
ejpam-6012	309	7	ibragimov	ibragimov	NOUN
ejpam-6012	309	8	theorem	theorem	NOUN
ejpam-6012	309	9	,	,	PUNCT
ejpam-6012	309	10	every	every	DET
ejpam-6012	309	11	symmetry	symmetry	NOUN
ejpam-6012	309	12	generator	generator	NOUN
ejpam-6012	309	13	corresponds	correspond	VERB
ejpam-6012	309	14	to	to	ADP
ejpam-6012	309	15	a	a	DET
ejpam-6012	309	16	conserved	conserved	ADJ
ejpam-6012	309	17	vector	vector	NOUN
ejpam-6012	309	18	.	.	PUNCT
ejpam-6012	310	1	consequently	consequently	ADV
ejpam-6012	310	2	,	,	PUNCT
ejpam-6012	310	3	we	we	PRON
ejpam-6012	310	4	calculated	calculate	VERB
ejpam-6012	310	5	the	the	DET
ejpam-6012	310	6	conserved	conserved	ADJ
ejpam-6012	310	7	vectors	vector	NOUN
ejpam-6012	310	8	using	use	VERB
ejpam-6012	310	9	theorem	theorem	NOUN
ejpam-6012	310	10	2	2	NUM
ejpam-6012	310	11	.	.	PUNCT
ejpam-6012	310	12	a.	a.	PROPN
ejpam-6012	310	13	hussain	hussain	PROPN
ejpam-6012	310	14	et	et	PROPN
ejpam-6012	310	15	al	al	PROPN
ejpam-6012	310	16	.	.	PUNCT
ejpam-6012	310	17	/	/	SYM
ejpam-6012	310	18	eur	eur	PROPN
ejpam-6012	310	19	.	.	PUNCT
ejpam-6012	311	1	j.	j.	PROPN
ejpam-6012	311	2	pure	pure	PROPN
ejpam-6012	311	3	appl	appl	PROPN
ejpam-6012	311	4	.	.	PROPN
ejpam-6012	311	5	math	math	PROPN
ejpam-6012	311	6	,	,	PUNCT
ejpam-6012	311	7	18	18	NUM
ejpam-6012	311	8	(	(	PUNCT
ejpam-6012	311	9	3	3	NUM
ejpam-6012	311	10	)	)	PUNCT
ejpam-6012	311	11	(	(	PUNCT
ejpam-6012	311	12	2025	2025	NUM
ejpam-6012	311	13	)	)	PUNCT
ejpam-6012	311	14	,	,	PUNCT
ejpam-6012	311	15	6012	6012	NUM
ejpam-6012	311	16	17	17	NUM
ejpam-6012	311	17	of	of	ADP
ejpam-6012	311	18	20	20	NUM
ejpam-6012	311	19	(	(	PUNCT
ejpam-6012	311	20	i	i	NOUN
ejpam-6012	311	21	)	)	PUNCT
ejpam-6012	311	22	when	when	SCONJ
ejpam-6012	311	23	considering	consider	VERB
ejpam-6012	311	24	the	the	DET
ejpam-6012	311	25	vector	vector	NOUN
ejpam-6012	311	26	field	field	NOUN
ejpam-6012	311	27	v1	v1	NOUN
ejpam-6012	311	28	=	=	SYM
ejpam-6012	311	29	∂	∂	NOUN
ejpam-6012	311	30	∂x	∂x	PROPN
ejpam-6012	311	31	and	and	CCONJ
ejpam-6012	311	32	n	n	NOUN
ejpam-6012	311	33	=	=	SYM
ejpam-6012	311	34	−ux	−ux	PROPN
ejpam-6012	311	35	,	,	PUNCT
ejpam-6012	311	36	the	the	DET
ejpam-6012	311	37	resulting	result	VERB
ejpam-6012	311	38	conserved	conserved	ADJ
ejpam-6012	311	39	vectors	vector	NOUN
ejpam-6012	311	40	are	be	AUX
ejpam-6012	311	41	as	as	SCONJ
ejpam-6012	311	42	follows	follow	VERB
ejpam-6012	311	43	wt	wt	PROPN
ejpam-6012	311	44	1	1	NUM
ejpam-6012	311	45	=	=	NOUN
ejpam-6012	311	46	vxux	vxux	NOUN
ejpam-6012	311	47	−	−	NOUN
ejpam-6012	311	48	uxxv	uxxv	ADJ
ejpam-6012	311	49	,	,	PUNCT
ejpam-6012	311	50	wx	wx	PROPN
ejpam-6012	311	51	1	1	NUM
ejpam-6012	311	52	=	=	SYM
ejpam-6012	311	53	l	l	NOUN
ejpam-6012	311	54	−	−	X
ejpam-6012	311	55	ux	ux	NOUN
ejpam-6012	311	56	(	(	PUNCT
ejpam-6012	311	57	3	3	NUM
ejpam-6012	311	58	2	2	NUM
ejpam-6012	311	59	uxyv	uxyv	NOUN
ejpam-6012	311	60	+	+	CCONJ
ejpam-6012	311	61	6u2xvx	6u2xvx	NOUN
ejpam-6012	311	62	+	+	CCONJ
ejpam-6012	311	63	3	3	NUM
ejpam-6012	311	64	2	2	NUM
ejpam-6012	311	65	uyvx	uyvx	ADP
ejpam-6012	311	66	−	−	NOUN
ejpam-6012	311	67	3	3	NUM
ejpam-6012	311	68	2	2	NUM
ejpam-6012	311	69	uxvy	uxvy	VERB
ejpam-6012	311	70	−	−	PROPN
ejpam-6012	311	71	vt	vt	PROPN
ejpam-6012	311	72	−	−	PROPN
ejpam-6012	311	73	vxxxx	vxxxx	PROPN
ejpam-6012	311	74	)	)	PUNCT
ejpam-6012	311	75	−	−	PROPN
ejpam-6012	311	76	uxx	uxx	NOUN
ejpam-6012	311	77	(	(	PUNCT
ejpam-6012	311	78	vxx	vxx	PROPN
ejpam-6012	311	79	−	−	PROPN
ejpam-6012	312	1	6u2xv	6u2xv	NUM
ejpam-6012	312	2	+	+	CCONJ
ejpam-6012	312	3	3	3	NUM
ejpam-6012	312	4	2	2	NUM
ejpam-6012	312	5	uyv	uyv	NOUN
ejpam-6012	312	6	)	)	PUNCT
ejpam-6012	313	1	−	−	NOUN
ejpam-6012	313	2	3	3	NUM
ejpam-6012	313	3	2	2	NUM
ejpam-6012	313	4	uxuxyv	uxuxyv	NOUN
ejpam-6012	313	5	−	−	NOUN
ejpam-6012	313	6	vuxt	vuxt	NOUN
ejpam-6012	313	7	+	+	CCONJ
ejpam-6012	313	8	vxuxxx	vxuxxx	PROPN
ejpam-6012	313	9	−	−	PROPN
ejpam-6012	313	10	vuxxxx	vuxxxx	NOUN
ejpam-6012	313	11	,	,	PUNCT
ejpam-6012	313	12	wy	wy	PROPN
ejpam-6012	313	13	1	1	NUM
ejpam-6012	313	14	=	=	SYM
ejpam-6012	313	15	3	3	NUM
ejpam-6012	313	16	2	2	NUM
ejpam-6012	313	17	ux	ux	NOUN
ejpam-6012	313	18	(	(	PUNCT
ejpam-6012	313	19	uxvx	uxvx	PROPN
ejpam-6012	313	20	−	−	PROPN
ejpam-6012	313	21	uxxv	uxxv	ADV
ejpam-6012	313	22	)	)	PUNCT
ejpam-6012	313	23	,	,	PUNCT
ejpam-6012	313	24	wz	wz	ADP
ejpam-6012	313	25	1	1	NUM
ejpam-6012	313	26	=	=	NOUN
ejpam-6012	313	27	−	−	NOUN
ejpam-6012	314	1	avzux	avzux	NOUN
ejpam-6012	315	1	+	+	CCONJ
ejpam-6012	316	1	avuxz	avuxz	NOUN
ejpam-6012	316	2	.	.	PUNCT
ejpam-6012	317	1	(	(	PUNCT
ejpam-6012	317	2	85	85	NUM
ejpam-6012	317	3	)	)	PUNCT
ejpam-6012	317	4	(	(	PUNCT
ejpam-6012	317	5	ii	ii	NOUN
ejpam-6012	317	6	)	)	PUNCT
ejpam-6012	317	7	when	when	SCONJ
ejpam-6012	317	8	considering	consider	VERB
ejpam-6012	317	9	the	the	DET
ejpam-6012	317	10	vector	vector	NOUN
ejpam-6012	317	11	field	field	NOUN
ejpam-6012	317	12	v2	v2	NOUN
ejpam-6012	317	13	=	=	SYM
ejpam-6012	317	14	∂	∂	NUM
ejpam-6012	317	15	∂z	∂z	PROPN
ejpam-6012	317	16	and	and	CCONJ
ejpam-6012	317	17	n	n	NOUN
ejpam-6012	317	18	=	=	SYM
ejpam-6012	317	19	−uz	−uz	PROPN
ejpam-6012	317	20	,	,	PUNCT
ejpam-6012	317	21	the	the	DET
ejpam-6012	317	22	resulting	result	VERB
ejpam-6012	317	23	conserved	conserved	ADJ
ejpam-6012	317	24	vectors	vector	NOUN
ejpam-6012	317	25	are	be	AUX
ejpam-6012	317	26	as	as	SCONJ
ejpam-6012	317	27	follows	follow	VERB
ejpam-6012	317	28	wt	wt	PROPN
ejpam-6012	317	29	2	2	NUM
ejpam-6012	317	30	=	=	NOUN
ejpam-6012	317	31	uzvx	uzvx	ADJ
ejpam-6012	317	32	−	−	PROPN
ejpam-6012	317	33	vuxz	vuxz	NOUN
ejpam-6012	317	34	,	,	PUNCT
ejpam-6012	317	35	wx	wx	PROPN
ejpam-6012	317	36	2	2	NUM
ejpam-6012	318	1	=	=	SYM
ejpam-6012	318	2	−	−	PROPN
ejpam-6012	318	3	uz	uz	NOUN
ejpam-6012	318	4	(	(	PUNCT
ejpam-6012	318	5	3	3	NUM
ejpam-6012	318	6	2	2	NUM
ejpam-6012	318	7	uxyv	uxyv	NOUN
ejpam-6012	318	8	+	+	CCONJ
ejpam-6012	318	9	6u2xvx	6u2xvx	NOUN
ejpam-6012	318	10	+	+	CCONJ
ejpam-6012	318	11	3	3	NUM
ejpam-6012	318	12	2	2	NUM
ejpam-6012	318	13	uyvx	uyvx	ADP
ejpam-6012	318	14	−	−	NOUN
ejpam-6012	318	15	3	3	NUM
ejpam-6012	318	16	2	2	NUM
ejpam-6012	318	17	uxvy	uxvy	VERB
ejpam-6012	318	18	−	−	PROPN
ejpam-6012	318	19	vt	vt	PROPN
ejpam-6012	318	20	−	−	PROPN
ejpam-6012	318	21	vxxxx	vxxxx	PROPN
ejpam-6012	318	22	)	)	PUNCT
ejpam-6012	318	23	−	−	PROPN
ejpam-6012	319	1	uxz	uxz	NOUN
ejpam-6012	319	2	(	(	PUNCT
ejpam-6012	319	3	vxx	vxx	PROPN
ejpam-6012	319	4	−	−	PROPN
ejpam-6012	320	1	6u2xv	6u2xv	NUM
ejpam-6012	320	2	+	+	CCONJ
ejpam-6012	320	3	3	3	NUM
ejpam-6012	320	4	2	2	NUM
ejpam-6012	320	5	uyv	uyv	NOUN
ejpam-6012	320	6	)	)	PUNCT
ejpam-6012	321	1	−	−	NOUN
ejpam-6012	321	2	3	3	NUM
ejpam-6012	321	3	2	2	NUM
ejpam-6012	321	4	uxuyzv	uxuyzv	NOUN
ejpam-6012	321	5	−	−	PROPN
ejpam-6012	321	6	vuzt	vuzt	NOUN
ejpam-6012	321	7	+	+	CCONJ
ejpam-6012	321	8	vxuxxz	vxuxxz	NOUN
ejpam-6012	321	9	−	−	PROPN
ejpam-6012	321	10	vuxxxz	vuxxxz	NOUN
ejpam-6012	321	11	,	,	PUNCT
ejpam-6012	321	12	wy	wy	PROPN
ejpam-6012	321	13	2	2	NUM
ejpam-6012	321	14	=	=	SYM
ejpam-6012	321	15	3	3	NUM
ejpam-6012	321	16	2	2	NUM
ejpam-6012	321	17	ux(uzvx	ux(uzvx	PROPN
ejpam-6012	321	18	−	−	PROPN
ejpam-6012	321	19	uxzv	uxzv	NOUN
ejpam-6012	321	20	)	)	PUNCT
ejpam-6012	321	21	,	,	PUNCT
ejpam-6012	321	22	wz	wz	ADP
ejpam-6012	321	23	2	2	NUM
ejpam-6012	321	24	=	=	SYM
ejpam-6012	321	25	v	v	X
ejpam-6012	321	26	(	(	PUNCT
ejpam-6012	321	27	uxt	uxt	NOUN
ejpam-6012	321	28	+	+	CCONJ
ejpam-6012	321	29	uxxxx	uxxxx	ADJ
ejpam-6012	321	30	−	−	PROPN
ejpam-6012	321	31	6u2xuxx	6u2xuxx	NOUN
ejpam-6012	321	32	+	+	CCONJ
ejpam-6012	321	33	3	3	NUM
ejpam-6012	321	34	2	2	NUM
ejpam-6012	321	35	uxxuy	uxxuy	NOUN
ejpam-6012	321	36	+	+	NOUN
ejpam-6012	321	37	3	3	NUM
ejpam-6012	321	38	2	2	NUM
ejpam-6012	321	39	uxuxy	uxuxy	NOUN
ejpam-6012	321	40	−	−	NOUN
ejpam-6012	321	41	auzz	auzz	NOUN
ejpam-6012	321	42	)	)	PUNCT
ejpam-6012	321	43	(	(	PUNCT
ejpam-6012	321	44	86	86	NUM
ejpam-6012	321	45	)	)	PUNCT
ejpam-6012	321	46	(	(	PUNCT
ejpam-6012	321	47	iii	iii	NOUN
ejpam-6012	321	48	)	)	PUNCT
ejpam-6012	321	49	when	when	SCONJ
ejpam-6012	321	50	considering	consider	VERB
ejpam-6012	321	51	the	the	DET
ejpam-6012	321	52	vector	vector	NOUN
ejpam-6012	321	53	field	field	NOUN
ejpam-6012	321	54	v3	v3	PROPN
ejpam-6012	321	55	=	=	SYM
ejpam-6012	321	56	∂	∂	NUM
ejpam-6012	321	57	∂t	∂t	PROPN
ejpam-6012	321	58	and	and	CCONJ
ejpam-6012	321	59	n	n	NOUN
ejpam-6012	321	60	=	=	SYM
ejpam-6012	321	61	−ut	−ut	PROPN
ejpam-6012	321	62	,	,	PUNCT
ejpam-6012	321	63	the	the	DET
ejpam-6012	321	64	resulting	result	VERB
ejpam-6012	321	65	conserved	conserved	ADJ
ejpam-6012	321	66	vectors	vector	NOUN
ejpam-6012	321	67	are	be	AUX
ejpam-6012	321	68	as	as	SCONJ
ejpam-6012	321	69	follows	follow	VERB
ejpam-6012	321	70	wt	wt	PROPN
ejpam-6012	321	71	3	3	NUM
ejpam-6012	321	72	=	=	SYM
ejpam-6012	321	73	v	v	NOUN
ejpam-6012	321	74	(	(	PUNCT
ejpam-6012	321	75	uxxxx	uxxxx	INTJ
ejpam-6012	321	76	−	−	PROPN
ejpam-6012	321	77	6u2xuxx	6u2xuxx	NOUN
ejpam-6012	321	78	+	+	CCONJ
ejpam-6012	321	79	3	3	NUM
ejpam-6012	321	80	2	2	NUM
ejpam-6012	321	81	uxxuy	uxxuy	NOUN
ejpam-6012	321	82	+	+	NOUN
ejpam-6012	321	83	3	3	NUM
ejpam-6012	321	84	2	2	NUM
ejpam-6012	321	85	uxuxy	uxuxy	NOUN
ejpam-6012	321	86	−	−	NOUN
ejpam-6012	321	87	auzz	auzz	NOUN
ejpam-6012	321	88	)	)	PUNCT
ejpam-6012	322	1	+	+	CCONJ
ejpam-6012	322	2	utvx	utvx	ADJ
ejpam-6012	322	3	,	,	PUNCT
ejpam-6012	322	4	wx	wx	PROPN
ejpam-6012	322	5	3	3	NUM
ejpam-6012	322	6	=	=	SYM
ejpam-6012	322	7	−	−	PROPN
ejpam-6012	322	8	ut	ut	PROPN
ejpam-6012	322	9	(	(	PUNCT
ejpam-6012	322	10	3	3	NUM
ejpam-6012	322	11	2	2	NUM
ejpam-6012	322	12	uxyv	uxyv	NOUN
ejpam-6012	322	13	+	+	CCONJ
ejpam-6012	322	14	6u2xvx	6u2xvx	NOUN
ejpam-6012	322	15	+	+	CCONJ
ejpam-6012	322	16	3	3	NUM
ejpam-6012	322	17	2	2	NUM
ejpam-6012	322	18	uyvx	uyvx	ADP
ejpam-6012	322	19	−	−	NOUN
ejpam-6012	322	20	3	3	NUM
ejpam-6012	322	21	2	2	NUM
ejpam-6012	322	22	uxvy	uxvy	VERB
ejpam-6012	322	23	−	−	PROPN
ejpam-6012	322	24	vt	vt	PROPN
ejpam-6012	322	25	−	−	PROPN
ejpam-6012	322	26	vxxxx	vxxxx	PROPN
ejpam-6012	322	27	)	)	PUNCT
ejpam-6012	323	1	−	−	PROPN
ejpam-6012	323	2	uxt	uxt	NOUN
ejpam-6012	323	3	(	(	PUNCT
ejpam-6012	323	4	vxx	vxx	PROPN
ejpam-6012	323	5	−	−	PROPN
ejpam-6012	324	1	6u2xv	6u2xv	NUM
ejpam-6012	324	2	+	+	CCONJ
ejpam-6012	324	3	3	3	NUM
ejpam-6012	324	4	2	2	NUM
ejpam-6012	324	5	uyv	uyv	NOUN
ejpam-6012	324	6	)	)	PUNCT
ejpam-6012	325	1	−	−	NOUN
ejpam-6012	325	2	3	3	NUM
ejpam-6012	325	3	2	2	NUM
ejpam-6012	325	4	uxuytv	uxuytv	ADJ
ejpam-6012	325	5	−	−	PROPN
ejpam-6012	325	6	vutt	vutt	NOUN
ejpam-6012	325	7	+	+	CCONJ
ejpam-6012	325	8	vxuxxt	vxuxxt	NOUN
ejpam-6012	325	9	−	−	PROPN
ejpam-6012	325	10	vuxxxt	vuxxxt	NOUN
ejpam-6012	325	11	,	,	PUNCT
ejpam-6012	325	12	wy	wy	PROPN
ejpam-6012	325	13	3	3	NUM
ejpam-6012	325	14	=	=	SYM
ejpam-6012	325	15	3	3	NUM
ejpam-6012	325	16	2	2	NUM
ejpam-6012	325	17	ux	ux	NOUN
ejpam-6012	325	18	(	(	PUNCT
ejpam-6012	325	19	utvx	utvx	ADJ
ejpam-6012	325	20	−	−	PROPN
ejpam-6012	325	21	uxtv	uxtv	NOUN
ejpam-6012	325	22	)	)	PUNCT
ejpam-6012	325	23	,	,	PUNCT
ejpam-6012	325	24	wz	wz	ADP
ejpam-6012	325	25	3	3	NUM
ejpam-6012	325	26	=	=	NOUN
ejpam-6012	325	27	−	−	NOUN
ejpam-6012	325	28	avzut	avzut	NOUN
ejpam-6012	325	29	+	+	CCONJ
ejpam-6012	325	30	avuzt	avuzt	NOUN
ejpam-6012	325	31	.	.	PUNCT
ejpam-6012	326	1	(	(	PUNCT
ejpam-6012	326	2	87	87	NUM
ejpam-6012	326	3	)	)	PUNCT
ejpam-6012	326	4	(	(	PUNCT
ejpam-6012	326	5	iv	iv	X
ejpam-6012	326	6	)	)	PUNCT
ejpam-6012	326	7	when	when	SCONJ
ejpam-6012	326	8	considering	consider	VERB
ejpam-6012	326	9	the	the	DET
ejpam-6012	326	10	vector	vector	NOUN
ejpam-6012	326	11	field	field	NOUN
ejpam-6012	326	12	v4	v4	NOUN
ejpam-6012	326	13	=	=	SYM
ejpam-6012	326	14	∂	∂	NUM
ejpam-6012	326	15	∂u	∂u	PROPN
ejpam-6012	326	16	and	and	CCONJ
ejpam-6012	326	17	n	n	CCONJ
ejpam-6012	326	18	=	=	SYM
ejpam-6012	326	19	1	1	NUM
ejpam-6012	326	20	,	,	PUNCT
ejpam-6012	326	21	the	the	DET
ejpam-6012	326	22	resulting	result	VERB
ejpam-6012	326	23	conserved	conserve	VERB
ejpam-6012	326	24	a.	a.	NOUN
ejpam-6012	326	25	hussain	hussain	PROPN
ejpam-6012	326	26	et	et	PROPN
ejpam-6012	326	27	al	al	PROPN
ejpam-6012	326	28	.	.	PUNCT
ejpam-6012	326	29	/	/	SYM
ejpam-6012	326	30	eur	eur	PROPN
ejpam-6012	326	31	.	.	PUNCT
ejpam-6012	327	1	j.	j.	PROPN
ejpam-6012	327	2	pure	pure	PROPN
ejpam-6012	327	3	appl	appl	PROPN
ejpam-6012	327	4	.	.	PROPN
ejpam-6012	327	5	math	math	PROPN
ejpam-6012	327	6	,	,	PUNCT
ejpam-6012	327	7	18	18	NUM
ejpam-6012	327	8	(	(	PUNCT
ejpam-6012	327	9	3	3	NUM
ejpam-6012	327	10	)	)	PUNCT
ejpam-6012	327	11	(	(	PUNCT
ejpam-6012	327	12	2025	2025	NUM
ejpam-6012	327	13	)	)	PUNCT
ejpam-6012	327	14	,	,	PUNCT
ejpam-6012	327	15	6012	6012	NUM
ejpam-6012	327	16	18	18	NUM
ejpam-6012	327	17	of	of	ADP
ejpam-6012	327	18	20	20	NUM
ejpam-6012	327	19	vectors	vector	NOUN
ejpam-6012	327	20	are	be	AUX
ejpam-6012	327	21	as	as	SCONJ
ejpam-6012	327	22	follows	follow	VERB
ejpam-6012	327	23	wt	wt	PROPN
ejpam-6012	327	24	4	4	NUM
ejpam-6012	327	25	=	=	NOUN
ejpam-6012	327	26	−	−	NOUN
ejpam-6012	327	27	vx	vx	PROPN
ejpam-6012	327	28	,	,	PUNCT
ejpam-6012	327	29	wx	wx	PROPN
ejpam-6012	327	30	4	4	NUM
ejpam-6012	327	31	=	=	SYM
ejpam-6012	327	32	3	3	NUM
ejpam-6012	327	33	2	2	NUM
ejpam-6012	327	34	uxy	uxy	NOUN
ejpam-6012	328	1	+	+	X
ejpam-6012	328	2	6vxu	6vxu	PROPN
ejpam-6012	328	3	2	2	NUM
ejpam-6012	328	4	x	x	SYM
ejpam-6012	328	5	+	+	NOUN
ejpam-6012	328	6	3	3	NUM
ejpam-6012	328	7	2	2	NUM
ejpam-6012	328	8	uyvx	uyvx	NOUN
ejpam-6012	328	9	+	+	CCONJ
ejpam-6012	328	10	vxt	vxt	NOUN
ejpam-6012	329	1	+	+	CCONJ
ejpam-6012	329	2	3	3	NUM
ejpam-6012	329	3	2	2	NUM
ejpam-6012	329	4	uxvy	uxvy	VERB
ejpam-6012	329	5	−	−	PROPN
ejpam-6012	329	6	vt	vt	PROPN
ejpam-6012	329	7	−	−	PROPN
ejpam-6012	329	8	vxxxx	vxxxx	PROPN
ejpam-6012	329	9	,	,	PUNCT
ejpam-6012	329	10	wy	wy	PROPN
ejpam-6012	329	11	4	4	NUM
ejpam-6012	329	12	=	=	NOUN
ejpam-6012	329	13	−	−	PROPN
ejpam-6012	329	14	3	3	NUM
ejpam-6012	329	15	2	2	NUM
ejpam-6012	329	16	uxvx	uxvx	NOUN
ejpam-6012	329	17	,	,	PUNCT
ejpam-6012	329	18	wz	wz	ADP
ejpam-6012	329	19	4	4	NUM
ejpam-6012	329	20	=	=	NOUN
ejpam-6012	329	21	avz	avz	NOUN
ejpam-6012	329	22	.	.	PUNCT
ejpam-6012	330	1	(	(	PUNCT
ejpam-6012	330	2	88	88	NUM
ejpam-6012	330	3	)	)	PUNCT
ejpam-6012	330	4	(	(	PUNCT
ejpam-6012	330	5	v	v	NOUN
ejpam-6012	330	6	)	)	PUNCT
ejpam-6012	330	7	when	when	SCONJ
ejpam-6012	330	8	considering	consider	VERB
ejpam-6012	330	9	the	the	DET
ejpam-6012	330	10	vector	vector	NOUN
ejpam-6012	330	11	field	field	NOUN
ejpam-6012	330	12	v5	v5	NOUN
ejpam-6012	330	13	=	=	SYM
ejpam-6012	330	14	z	z	PROPN
ejpam-6012	330	15	∂	∂	NUM
ejpam-6012	330	16	∂u	∂u	PROPN
ejpam-6012	330	17	and	and	CCONJ
ejpam-6012	330	18	n	n	NOUN
ejpam-6012	330	19	=	=	SYM
ejpam-6012	330	20	z	z	PROPN
ejpam-6012	330	21	,	,	PUNCT
ejpam-6012	330	22	the	the	DET
ejpam-6012	330	23	resulting	result	VERB
ejpam-6012	330	24	conserved	conserved	ADJ
ejpam-6012	330	25	vectors	vector	NOUN
ejpam-6012	330	26	are	be	AUX
ejpam-6012	330	27	as	as	SCONJ
ejpam-6012	330	28	follows	follow	VERB
ejpam-6012	330	29	wt	wt	PROPN
ejpam-6012	330	30	5	5	NUM
ejpam-6012	330	31	=	=	NOUN
ejpam-6012	330	32	−	−	PROPN
ejpam-6012	330	33	zvx	zvx	PROPN
ejpam-6012	330	34	,	,	PUNCT
ejpam-6012	330	35	wx	wx	PROPN
ejpam-6012	330	36	5	5	NUM
ejpam-6012	331	1	=	=	NOUN
ejpam-6012	331	2	z	z	PROPN
ejpam-6012	331	3	(	(	PUNCT
ejpam-6012	331	4	3	3	NUM
ejpam-6012	331	5	2	2	NUM
ejpam-6012	331	6	uxyv	uxyv	NOUN
ejpam-6012	331	7	+	+	CCONJ
ejpam-6012	331	8	6u2xvx	6u2xvx	NOUN
ejpam-6012	331	9	+	+	CCONJ
ejpam-6012	331	10	3	3	NUM
ejpam-6012	331	11	2	2	NUM
ejpam-6012	331	12	uyvx	uyvx	ADP
ejpam-6012	331	13	−	−	NOUN
ejpam-6012	331	14	3	3	NUM
ejpam-6012	331	15	2	2	NUM
ejpam-6012	331	16	uxvy	uxvy	VERB
ejpam-6012	331	17	−	−	PROPN
ejpam-6012	331	18	vt	vt	PROPN
ejpam-6012	331	19	−	−	PROPN
ejpam-6012	331	20	vxxxx	vxxxx	PROPN
ejpam-6012	331	21	)	)	PUNCT
ejpam-6012	331	22	,	,	PUNCT
ejpam-6012	331	23	wy	wy	PROPN
ejpam-6012	331	24	5	5	NUM
ejpam-6012	331	25	=	=	NOUN
ejpam-6012	331	26	−	−	PROPN
ejpam-6012	331	27	3	3	NUM
ejpam-6012	331	28	2	2	NUM
ejpam-6012	331	29	zuxvx	zuxvx	NOUN
ejpam-6012	331	30	,	,	PUNCT
ejpam-6012	331	31	wz	wz	ADP
ejpam-6012	331	32	5	5	NUM
ejpam-6012	331	33	=	=	NOUN
ejpam-6012	331	34	−	−	NOUN
ejpam-6012	331	35	av	av	NOUN
ejpam-6012	331	36	.	.	PUNCT
ejpam-6012	332	1	(	(	PUNCT
ejpam-6012	332	2	89	89	NUM
ejpam-6012	332	3	)	)	PUNCT
ejpam-6012	332	4	(	(	PUNCT
ejpam-6012	332	5	vi	vi	NOUN
ejpam-6012	332	6	)	)	PUNCT
ejpam-6012	332	7	when	when	SCONJ
ejpam-6012	332	8	considering	consider	VERB
ejpam-6012	332	9	the	the	DET
ejpam-6012	332	10	vector	vector	NOUN
ejpam-6012	332	11	field	field	NOUN
ejpam-6012	332	12	v6	v6	NOUN
ejpam-6012	332	13	=	=	PUNCT
ejpam-6012	332	14	x	x	SYM
ejpam-6012	332	15	∂	∂	NUM
ejpam-6012	332	16	∂x	∂x	PROPN
ejpam-6012	332	17	+2y	+2y	NUM
ejpam-6012	332	18	∂	∂	NUM
ejpam-6012	333	1	∂y	∂y	SYM
ejpam-6012	333	2	+2z	+2z	NUM
ejpam-6012	333	3	∂	∂	NOUN
ejpam-6012	333	4	∂z	∂z	PROPN
ejpam-6012	334	1	+3	+3	PROPN
ejpam-6012	334	2	t	t	PROPN
ejpam-6012	334	3	∂∂t	∂∂t	PROPN
ejpam-6012	334	4	and	and	CCONJ
ejpam-6012	334	5	n	n	NOUN
ejpam-6012	334	6	=	=	NOUN
ejpam-6012	334	7	−(xux+	−(xux+	PROPN
ejpam-6012	334	8	2yuy	2yuy	NUM
ejpam-6012	335	1	+	+	CCONJ
ejpam-6012	335	2	2zuz	2zuz	NUM
ejpam-6012	335	3	+	+	CCONJ
ejpam-6012	335	4	3tut	3tut	NUM
ejpam-6012	335	5	)	)	PUNCT
ejpam-6012	335	6	,	,	PUNCT
ejpam-6012	335	7	the	the	DET
ejpam-6012	335	8	resulting	result	VERB
ejpam-6012	335	9	conserved	conserved	ADJ
ejpam-6012	335	10	vectors	vector	NOUN
ejpam-6012	335	11	are	be	AUX
ejpam-6012	335	12	as	as	SCONJ
ejpam-6012	335	13	follows	follow	VERB
ejpam-6012	335	14	wt	wt	PROPN
ejpam-6012	335	15	6	6	NUM
ejpam-6012	335	16	=(	=(	NOUN
ejpam-6012	335	17	3t)l+	3t)l+	NOUN
ejpam-6012	335	18	ux(xux	ux(xux	PROPN
ejpam-6012	336	1	+	+	CCONJ
ejpam-6012	336	2	2yuy	2yuy	NUM
ejpam-6012	336	3	+	+	CCONJ
ejpam-6012	336	4	2zuz	2zuz	NUM
ejpam-6012	336	5	+	+	SYM
ejpam-6012	336	6	3tut)−	3tut)−	NUM
ejpam-6012	336	7	vdx(xux	vdx(xux	NOUN
ejpam-6012	337	1	+	+	X
ejpam-6012	338	1	2yuy	2yuy	NUM
ejpam-6012	338	2	+	+	CCONJ
ejpam-6012	338	3	2zuz	2zuz	NUM
ejpam-6012	338	4	+	+	CCONJ
ejpam-6012	338	5	3tut	3tut	NUM
ejpam-6012	338	6	)	)	PUNCT
ejpam-6012	338	7	,	,	PUNCT
ejpam-6012	338	8	wx	wx	PROPN
ejpam-6012	338	9	6	6	NUM
ejpam-6012	338	10	=	=	SYM
ejpam-6012	338	11	xl+	xl+	X
ejpam-6012	338	12	(	(	PUNCT
ejpam-6012	338	13	xux	xux	X
ejpam-6012	338	14	+	+	CCONJ
ejpam-6012	338	15	2yuy	2yuy	NUM
ejpam-6012	338	16	+	+	CCONJ
ejpam-6012	338	17	2zuz	2zuz	NUM
ejpam-6012	338	18	+	+	CCONJ
ejpam-6012	338	19	3tut	3tut	NUM
ejpam-6012	338	20	)	)	PUNCT
ejpam-6012	338	21	(	(	PUNCT
ejpam-6012	338	22	3	3	NUM
ejpam-6012	338	23	2	2	NUM
ejpam-6012	338	24	uxyv	uxyv	NOUN
ejpam-6012	338	25	+	+	CCONJ
ejpam-6012	338	26	6u2xvx	6u2xvx	NOUN
ejpam-6012	338	27	+	+	CCONJ
ejpam-6012	338	28	3	3	NUM
ejpam-6012	338	29	2	2	NUM
ejpam-6012	338	30	uyvx	uyvx	ADP
ejpam-6012	338	31	−	−	NOUN
ejpam-6012	338	32	3	3	NUM
ejpam-6012	338	33	2	2	NUM
ejpam-6012	338	34	uxvy	uxvy	VERB
ejpam-6012	338	35	−	−	PROPN
ejpam-6012	338	36	vt	vt	PROPN
ejpam-6012	338	37	−	−	PROPN
ejpam-6012	338	38	vxxxx	vxxxx	PROPN
ejpam-6012	338	39	)	)	PUNCT
ejpam-6012	339	1	+	+	CCONJ
ejpam-6012	339	2	dx(xux	dx(xux	X
ejpam-6012	339	3	+	+	ADJ
ejpam-6012	339	4	2yuy	2yuy	NUM
ejpam-6012	339	5	+	+	CCONJ
ejpam-6012	339	6	2zuz	2zuz	NUM
ejpam-6012	339	7	+	+	CCONJ
ejpam-6012	339	8	3tut	3tut	NUM
ejpam-6012	339	9	)	)	PUNCT
ejpam-6012	339	10	(	(	PUNCT
ejpam-6012	339	11	vxx	vxx	PROPN
ejpam-6012	339	12	−	−	PROPN
ejpam-6012	340	1	6u2xv	6u2xv	NUM
ejpam-6012	340	2	+	+	CCONJ
ejpam-6012	340	3	3	3	NUM
ejpam-6012	340	4	2	2	NUM
ejpam-6012	340	5	uyv	uyv	NOUN
ejpam-6012	340	6	)	)	PUNCT
ejpam-6012	341	1	+	+	CCONJ
ejpam-6012	341	2	3	3	NUM
ejpam-6012	341	3	2	2	NUM
ejpam-6012	341	4	uxvdy(xux	uxvdy(xux	NOUN
ejpam-6012	341	5	+	+	CCONJ
ejpam-6012	341	6	2yuy	2yuy	NUM
ejpam-6012	341	7	+	+	CCONJ
ejpam-6012	341	8	2zuz	2zuz	NUM
ejpam-6012	341	9	+	+	CCONJ
ejpam-6012	341	10	3tut	3tut	NUM
ejpam-6012	341	11	)	)	PUNCT
ejpam-6012	341	12	+	+	CCONJ
ejpam-6012	341	13	vdt(xux	vdt(xux	X
ejpam-6012	342	1	+	+	CCONJ
ejpam-6012	343	1	2yuy	2yuy	NUM
ejpam-6012	343	2	+	+	CCONJ
ejpam-6012	343	3	2zuz	2zuz	NUM
ejpam-6012	343	4	+	+	SYM
ejpam-6012	343	5	3tut)−	3tut)−	PROPN
ejpam-6012	343	6	vxd2	vxd2	NOUN
ejpam-6012	343	7	x(xux	x(xux	PUNCT
ejpam-6012	344	1	+	+	CCONJ
ejpam-6012	345	1	2yuy	2yuy	NUM
ejpam-6012	345	2	+	+	CCONJ
ejpam-6012	345	3	2zuz	2zuz	NUM
ejpam-6012	345	4	+	+	CCONJ
ejpam-6012	345	5	3tut	3tut	NUM
ejpam-6012	345	6	)	)	PUNCT
ejpam-6012	346	1	+	+	CCONJ
ejpam-6012	346	2	vd3	vd3	X
ejpam-6012	346	3	x(xux	x(xux	X
ejpam-6012	347	1	+	+	CCONJ
ejpam-6012	348	1	2yuy	2yuy	NUM
ejpam-6012	348	2	+	+	CCONJ
ejpam-6012	348	3	2zuz	2zuz	NUM
ejpam-6012	348	4	+	+	CCONJ
ejpam-6012	348	5	3tut	3tut	NUM
ejpam-6012	348	6	)	)	PUNCT
ejpam-6012	348	7	,	,	PUNCT
ejpam-6012	348	8	wy	wy	PROPN
ejpam-6012	348	9	6	6	NUM
ejpam-6012	348	10	=(	=(	NOUN
ejpam-6012	348	11	2y)l+	2y)l+	NUM
ejpam-6012	348	12	3	3	NUM
ejpam-6012	348	13	2	2	NUM
ejpam-6012	348	14	uxvx(xux	uxvx(xux	NOUN
ejpam-6012	348	15	+	+	CCONJ
ejpam-6012	348	16	2yuy	2yuy	NUM
ejpam-6012	349	1	+	+	CCONJ
ejpam-6012	349	2	2zuz	2zuz	NUM
ejpam-6012	349	3	+	+	CCONJ
ejpam-6012	349	4	3tut)−	3tut)−	PROPN
ejpam-6012	349	5	3	3	NUM
ejpam-6012	349	6	2	2	NUM
ejpam-6012	349	7	uxvdx(xux	uxvdx(xux	NOUN
ejpam-6012	350	1	+	+	CCONJ
ejpam-6012	351	1	2yuy	2yuy	NUM
ejpam-6012	351	2	+	+	CCONJ
ejpam-6012	351	3	2zuz	2zuz	NUM
ejpam-6012	351	4	+	+	CCONJ
ejpam-6012	351	5	3tut	3tut	NUM
ejpam-6012	351	6	)	)	PUNCT
ejpam-6012	351	7	,	,	PUNCT
ejpam-6012	351	8	wz	wz	VERB
ejpam-6012	351	9	6	6	NUM
ejpam-6012	351	10	=(	=(	NOUN
ejpam-6012	351	11	2z)l	2z)l	NUM
ejpam-6012	351	12	−	−	NOUN
ejpam-6012	351	13	avz(xux	avz(xux	X
ejpam-6012	352	1	+	+	CCONJ
ejpam-6012	353	1	2yuy	2yuy	NUM
ejpam-6012	353	2	+	+	CCONJ
ejpam-6012	353	3	2zuz	2zuz	NUM
ejpam-6012	353	4	+	+	CCONJ
ejpam-6012	353	5	3tut	3tut	NUM
ejpam-6012	353	6	)	)	PUNCT
ejpam-6012	353	7	+	+	NUM
ejpam-6012	353	8	avdz(xux	avdz(xux	NOUN
ejpam-6012	353	9	+	+	X
ejpam-6012	353	10	2yuy	2yuy	NUM
ejpam-6012	353	11	+	+	CCONJ
ejpam-6012	353	12	2zuz	2zuz	NUM
ejpam-6012	353	13	+	+	CCONJ
ejpam-6012	353	14	3tut	3tut	NUM
ejpam-6012	353	15	)	)	PUNCT
ejpam-6012	353	16	.	.	PUNCT
ejpam-6012	354	1	(	(	PUNCT
ejpam-6012	354	2	90	90	NUM
ejpam-6012	354	3	)	)	PUNCT
ejpam-6012	354	4	note	note	VERB
ejpam-6012	354	5	that	that	SCONJ
ejpam-6012	354	6	in	in	ADP
ejpam-6012	354	7	all	all	DET
ejpam-6012	354	8	the	the	DET
ejpam-6012	354	9	cases	case	NOUN
ejpam-6012	354	10	discussed	discuss	VERB
ejpam-6012	354	11	above	above	ADV
ejpam-6012	354	12	,	,	PUNCT
ejpam-6012	354	13	l	l	NOUN
ejpam-6012	354	14	is	be	AUX
ejpam-6012	354	15	the	the	DET
ejpam-6012	354	16	formal	formal	ADJ
ejpam-6012	354	17	lagrangian	lagrangian	NOUN
ejpam-6012	354	18	deduced	deduce	VERB
ejpam-6012	354	19	from	from	ADP
ejpam-6012	354	20	eq	eq	PROPN
ejpam-6012	354	21	(	(	PUNCT
ejpam-6012	354	22	84	84	NUM
ejpam-6012	354	23	)	)	PUNCT
ejpam-6012	354	24	,	,	PUNCT
ejpam-6012	354	25	and	and	CCONJ
ejpam-6012	354	26	the	the	DET
ejpam-6012	354	27	divergence	divergence	NOUN
ejpam-6012	354	28	relation	relation	NOUN
ejpam-6012	354	29	dtwt	dtwt	NOUN
ejpam-6012	354	30	+	+	X
ejpam-6012	354	31	dxwx	dxwx	ADJ
ejpam-6012	354	32	+	+	NOUN
ejpam-6012	354	33	dywy	dywy	ADJ
ejpam-6012	354	34	+	+	NOUN
ejpam-6012	354	35	dzwz	dzwz	NOUN
ejpam-6012	354	36	=	=	SYM
ejpam-6012	354	37	0	0	NUM
ejpam-6012	354	38	,	,	PUNCT
ejpam-6012	354	39	(	(	PUNCT
ejpam-6012	354	40	91	91	NUM
ejpam-6012	354	41	)	)	PUNCT
ejpam-6012	354	42	holds	hold	VERB
ejpam-6012	354	43	for	for	ADP
ejpam-6012	354	44	all	all	DET
ejpam-6012	354	45	the	the	DET
ejpam-6012	354	46	conserved	conserved	ADJ
ejpam-6012	354	47	vectors	vector	NOUN
ejpam-6012	354	48	.	.	PUNCT
ejpam-6012	355	1	6	6	X
ejpam-6012	355	2	.	.	X
ejpam-6012	355	3	conclusions	conclusion	NOUN
ejpam-6012	355	4	in	in	ADP
ejpam-6012	355	5	this	this	DET
ejpam-6012	355	6	research	research	NOUN
ejpam-6012	355	7	,	,	PUNCT
ejpam-6012	355	8	our	our	PRON
ejpam-6012	355	9	primary	primary	ADJ
ejpam-6012	355	10	focus	focus	NOUN
ejpam-6012	355	11	was	be	AUX
ejpam-6012	355	12	on	on	ADP
ejpam-6012	355	13	examining	examine	VERB
ejpam-6012	355	14	a	a	DET
ejpam-6012	355	15	(	(	PUNCT
ejpam-6012	355	16	3	3	NUM
ejpam-6012	355	17	+	+	NOUN
ejpam-6012	355	18	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	355	19	nonlinear	nonlinear	ADJ
ejpam-6012	355	20	model	model	NOUN
ejpam-6012	355	21	(	(	PUNCT
ejpam-6012	355	22	4	4	NUM
ejpam-6012	355	23	)	)	PUNCT
ejpam-6012	355	24	derived	derive	VERB
ejpam-6012	355	25	from	from	ADP
ejpam-6012	355	26	the	the	DET
ejpam-6012	355	27	jaulent	jaulent	NOUN
ejpam-6012	355	28	-	-	PUNCT
ejpam-6012	355	29	miodek	miodek	NOUN
ejpam-6012	355	30	hierarchy	hierarchy	NOUN
ejpam-6012	355	31	.	.	PUNCT
ejpam-6012	356	1	we	we	PRON
ejpam-6012	356	2	utilized	utilize	VERB
ejpam-6012	356	3	the	the	DET
ejpam-6012	356	4	lie	lie	NOUN
ejpam-6012	356	5	group	group	NOUN
ejpam-6012	356	6	method	method	PROPN
ejpam-6012	356	7	a.	a.	PROPN
ejpam-6012	356	8	hussain	hussain	PROPN
ejpam-6012	356	9	et	et	PROPN
ejpam-6012	356	10	al	al	PROPN
ejpam-6012	356	11	.	.	PUNCT
ejpam-6012	356	12	/	/	SYM
ejpam-6012	356	13	eur	eur	PROPN
ejpam-6012	356	14	.	.	PUNCT
ejpam-6012	357	1	j.	j.	PROPN
ejpam-6012	357	2	pure	pure	PROPN
ejpam-6012	357	3	appl	appl	PROPN
ejpam-6012	357	4	.	.	PROPN
ejpam-6012	357	5	math	math	PROPN
ejpam-6012	357	6	,	,	PUNCT
ejpam-6012	357	7	18	18	NUM
ejpam-6012	357	8	(	(	PUNCT
ejpam-6012	357	9	3	3	NUM
ejpam-6012	357	10	)	)	PUNCT
ejpam-6012	357	11	(	(	PUNCT
ejpam-6012	357	12	2025	2025	NUM
ejpam-6012	357	13	)	)	PUNCT
ejpam-6012	357	14	,	,	PUNCT
ejpam-6012	357	15	6012	6012	NUM
ejpam-6012	357	16	19	19	NUM
ejpam-6012	357	17	of	of	ADP
ejpam-6012	357	18	20	20	NUM
ejpam-6012	357	19	to	to	PART
ejpam-6012	357	20	analyze	analyze	VERB
ejpam-6012	357	21	the	the	DET
ejpam-6012	357	22	integrability	integrability	NOUN
ejpam-6012	357	23	features	feature	NOUN
ejpam-6012	357	24	of	of	ADP
ejpam-6012	357	25	this	this	DET
ejpam-6012	357	26	model	model	NOUN
ejpam-6012	357	27	.	.	PUNCT
ejpam-6012	358	1	this	this	DET
ejpam-6012	358	2	method	method	NOUN
ejpam-6012	358	3	led	lead	VERB
ejpam-6012	358	4	to	to	ADP
ejpam-6012	358	5	the	the	DET
ejpam-6012	358	6	identification	identification	NOUN
ejpam-6012	358	7	of	of	ADP
ejpam-6012	358	8	six	six	NUM
ejpam-6012	358	9	-	-	PUNCT
ejpam-6012	358	10	dimensional	dimensional	ADJ
ejpam-6012	358	11	symmetry	symmetry	NOUN
ejpam-6012	358	12	algebra	algebra	NOUN
ejpam-6012	358	13	,	,	PUNCT
ejpam-6012	358	14	which	which	PRON
ejpam-6012	358	15	allowed	allow	VERB
ejpam-6012	358	16	us	we	PRON
ejpam-6012	358	17	to	to	PART
ejpam-6012	358	18	determine	determine	VERB
ejpam-6012	358	19	the	the	DET
ejpam-6012	358	20	symmetry	symmetry	NOUN
ejpam-6012	358	21	groups	group	NOUN
ejpam-6012	358	22	associated	associate	VERB
ejpam-6012	358	23	with	with	ADP
ejpam-6012	358	24	the	the	DET
ejpam-6012	358	25	nonlinear	nonlinear	ADJ
ejpam-6012	358	26	model	model	NOUN
ejpam-6012	358	27	(	(	PUNCT
ejpam-6012	358	28	4	4	NUM
ejpam-6012	358	29	)	)	PUNCT
ejpam-6012	358	30	.	.	PUNCT
ejpam-6012	359	1	using	use	VERB
ejpam-6012	359	2	this	this	DET
ejpam-6012	359	3	symmetry	symmetry	NOUN
ejpam-6012	359	4	algebra	algebra	NOUN
ejpam-6012	359	5	,	,	PUNCT
ejpam-6012	359	6	we	we	PRON
ejpam-6012	359	7	successfully	successfully	ADV
ejpam-6012	359	8	derived	derive	VERB
ejpam-6012	359	9	polynomial	polynomial	ADJ
ejpam-6012	359	10	group	group	NOUN
ejpam-6012	359	11	-	-	PUNCT
ejpam-6012	359	12	invariant	invariant	ADJ
ejpam-6012	359	13	solutions	solution	NOUN
ejpam-6012	359	14	.	.	PUNCT
ejpam-6012	360	1	in	in	ADP
ejpam-6012	360	2	the	the	DET
ejpam-6012	360	3	literature	literature	NOUN
ejpam-6012	360	4	,	,	PUNCT
ejpam-6012	360	5	various	various	ADJ
ejpam-6012	360	6	approaches	approach	NOUN
ejpam-6012	360	7	have	have	AUX
ejpam-6012	360	8	been	be	AUX
ejpam-6012	360	9	used	use	VERB
ejpam-6012	360	10	to	to	PART
ejpam-6012	360	11	obtain	obtain	VERB
ejpam-6012	360	12	solitary	solitary	ADJ
ejpam-6012	360	13	wave	wave	NOUN
ejpam-6012	360	14	,	,	PUNCT
ejpam-6012	360	15	soliton	soliton	NOUN
ejpam-6012	360	16	,	,	PUNCT
ejpam-6012	360	17	and	and	CCONJ
ejpam-6012	360	18	other	other	ADJ
ejpam-6012	360	19	types	type	NOUN
ejpam-6012	360	20	of	of	ADP
ejpam-6012	360	21	solutions	solution	NOUN
ejpam-6012	360	22	for	for	ADP
ejpam-6012	360	23	the	the	DET
ejpam-6012	360	24	desired	desire	VERB
ejpam-6012	360	25	model	model	NOUN
ejpam-6012	361	1	[	[	X
ejpam-6012	361	2	3–6	3–6	NUM
ejpam-6012	361	3	]	]	X
ejpam-6012	361	4	.	.	PUNCT
ejpam-6012	362	1	notably	notably	ADV
ejpam-6012	362	2	,	,	PUNCT
ejpam-6012	362	3	in	in	ADP
ejpam-6012	362	4	a	a	DET
ejpam-6012	362	5	prior	prior	ADJ
ejpam-6012	362	6	study	study	NOUN
ejpam-6012	362	7	conducted	conduct	VERB
ejpam-6012	362	8	by	by	ADP
ejpam-6012	362	9	wazwaz	wazwaz	NOUN
ejpam-6012	362	10	[	[	X
ejpam-6012	362	11	7	7	NUM
ejpam-6012	362	12	]	]	SYM
ejpam-6012	362	13	,	,	PUNCT
ejpam-6012	362	14	rational	rational	ADJ
ejpam-6012	362	15	function	function	NOUN
ejpam-6012	362	16	solutions	solution	NOUN
ejpam-6012	362	17	were	be	AUX
ejpam-6012	362	18	obtained	obtain	VERB
ejpam-6012	362	19	including	include	VERB
ejpam-6012	362	20	single	single	ADJ
ejpam-6012	362	21	,	,	PUNCT
ejpam-6012	362	22	two	two	NUM
ejpam-6012	362	23	,	,	PUNCT
ejpam-6012	362	24	and	and	CCONJ
ejpam-6012	362	25	three	three	NUM
ejpam-6012	362	26	soliton	soliton	NOUN
ejpam-6012	362	27	solutions	solution	NOUN
ejpam-6012	362	28	.	.	PUNCT
ejpam-6012	363	1	however	however	ADV
ejpam-6012	363	2	,	,	PUNCT
ejpam-6012	363	3	our	our	PRON
ejpam-6012	363	4	results	result	NOUN
ejpam-6012	363	5	differ	differ	VERB
ejpam-6012	363	6	significantly	significantly	ADV
ejpam-6012	363	7	from	from	ADP
ejpam-6012	363	8	those	those	PRON
ejpam-6012	363	9	of	of	ADP
ejpam-6012	363	10	previous	previous	ADJ
ejpam-6012	363	11	studies	study	NOUN
ejpam-6012	363	12	.	.	PUNCT
ejpam-6012	364	1	our	our	PRON
ejpam-6012	364	2	research	research	NOUN
ejpam-6012	364	3	underscored	underscore	VERB
ejpam-6012	364	4	the	the	DET
ejpam-6012	364	5	effectiveness	effectiveness	NOUN
ejpam-6012	364	6	of	of	ADP
ejpam-6012	364	7	the	the	DET
ejpam-6012	364	8	lie	lie	NOUN
ejpam-6012	364	9	group	group	NOUN
ejpam-6012	364	10	method	method	NOUN
ejpam-6012	364	11	in	in	ADP
ejpam-6012	364	12	unveiling	unveil	VERB
ejpam-6012	364	13	not	not	PART
ejpam-6012	364	14	only	only	ADV
ejpam-6012	364	15	the	the	DET
ejpam-6012	364	16	inherent	inherent	ADJ
ejpam-6012	364	17	symmetry	symmetry	NOUN
ejpam-6012	364	18	properties	property	NOUN
ejpam-6012	364	19	of	of	ADP
ejpam-6012	364	20	the	the	DET
ejpam-6012	364	21	model	model	NOUN
ejpam-6012	364	22	,	,	PUNCT
ejpam-6012	364	23	but	but	CCONJ
ejpam-6012	364	24	also	also	ADV
ejpam-6012	364	25	in	in	ADP
ejpam-6012	364	26	facilitating	facilitate	VERB
ejpam-6012	364	27	the	the	DET
ejpam-6012	364	28	exploration	exploration	NOUN
ejpam-6012	364	29	of	of	ADP
ejpam-6012	364	30	group	group	NOUN
ejpam-6012	364	31	-	-	PUNCT
ejpam-6012	364	32	invariant	invariant	ADJ
ejpam-6012	364	33	solutions	solution	NOUN
ejpam-6012	364	34	through	through	ADP
ejpam-6012	364	35	symmetry	symmetry	NOUN
ejpam-6012	364	36	algebra	algebra	NOUN
ejpam-6012	364	37	.	.	PUNCT
ejpam-6012	365	1	furthermore	furthermore	ADV
ejpam-6012	365	2	,	,	PUNCT
ejpam-6012	365	3	we	we	PRON
ejpam-6012	365	4	apply	apply	VERB
ejpam-6012	365	5	anco	anco	PROPN
ejpam-6012	365	6	’s	’s	PART
ejpam-6012	365	7	method	method	NOUN
ejpam-6012	365	8	to	to	PART
ejpam-6012	365	9	investigate	investigate	VERB
ejpam-6012	365	10	the	the	DET
ejpam-6012	365	11	conservation	conservation	NOUN
ejpam-6012	365	12	laws	law	NOUN
ejpam-6012	365	13	pertinent	pertinent	ADJ
ejpam-6012	365	14	to	to	ADP
ejpam-6012	365	15	model	model	NOUN
ejpam-6012	365	16	(	(	PUNCT
ejpam-6012	365	17	4	4	NUM
ejpam-6012	365	18	)	)	PUNCT
ejpam-6012	365	19	.	.	PUNCT
ejpam-6012	366	1	our	our	PRON
ejpam-6012	366	2	study	study	NOUN
ejpam-6012	366	3	assumed	assume	VERB
ejpam-6012	366	4	considerable	considerable	ADJ
ejpam-6012	366	5	significance	significance	NOUN
ejpam-6012	366	6	as	as	SCONJ
ejpam-6012	366	7	it	it	PRON
ejpam-6012	366	8	contributed	contribute	VERB
ejpam-6012	366	9	to	to	ADP
ejpam-6012	366	10	the	the	DET
ejpam-6012	366	11	understanding	understanding	NOUN
ejpam-6012	366	12	of	of	ADP
ejpam-6012	366	13	this	this	DET
ejpam-6012	366	14	model	model	NOUN
ejpam-6012	366	15	and	and	CCONJ
ejpam-6012	366	16	addressed	address	VERB
ejpam-6012	366	17	a	a	DET
ejpam-6012	366	18	specific	specific	ADJ
ejpam-6012	366	19	gap	gap	NOUN
ejpam-6012	366	20	in	in	ADP
ejpam-6012	366	21	the	the	DET
ejpam-6012	366	22	group	group	NOUN
ejpam-6012	366	23	theoretic	theoretic	NOUN
ejpam-6012	366	24	approach	approach	NOUN
ejpam-6012	366	25	within	within	ADP
ejpam-6012	366	26	this	this	DET
ejpam-6012	366	27	context	context	NOUN
ejpam-6012	366	28	.	.	PUNCT
ejpam-6012	367	1	consequently	consequently	ADV
ejpam-6012	367	2	,	,	PUNCT
ejpam-6012	367	3	our	our	PRON
ejpam-6012	367	4	findings	finding	NOUN
ejpam-6012	367	5	represent	represent	VERB
ejpam-6012	367	6	pioneering	pioneer	VERB
ejpam-6012	367	7	contributions	contribution	NOUN
ejpam-6012	367	8	to	to	ADP
ejpam-6012	367	9	the	the	DET
ejpam-6012	367	10	study	study	NOUN
ejpam-6012	367	11	of	of	ADP
ejpam-6012	367	12	the	the	DET
ejpam-6012	367	13	examined	examine	VERB
ejpam-6012	367	14	model	model	NOUN
ejpam-6012	367	15	.	.	PUNCT
ejpam-6012	368	1	motivated	motivate	VERB
ejpam-6012	368	2	by	by	ADP
ejpam-6012	368	3	these	these	DET
ejpam-6012	368	4	outcomes	outcome	NOUN
ejpam-6012	368	5	,	,	PUNCT
ejpam-6012	368	6	we	we	PRON
ejpam-6012	368	7	hope	hope	VERB
ejpam-6012	368	8	to	to	PART
ejpam-6012	368	9	apply	apply	VERB
ejpam-6012	368	10	the	the	DET
ejpam-6012	368	11	same	same	ADJ
ejpam-6012	368	12	technique	technique	NOUN
ejpam-6012	368	13	to	to	ADP
ejpam-6012	368	14	other	other	ADJ
ejpam-6012	368	15	nonlinear	nonlinear	ADJ
ejpam-6012	368	16	models	model	NOUN
ejpam-6012	368	17	in	in	ADP
ejpam-6012	368	18	the	the	DET
ejpam-6012	368	19	future	future	NOUN
ejpam-6012	368	20	.	.	PUNCT
ejpam-6012	369	1	acknowledgements	acknowledgement	NOUN
ejpam-6012	369	2	the	the	DET
ejpam-6012	369	3	authors	author	NOUN
ejpam-6012	369	4	extend	extend	VERB
ejpam-6012	369	5	their	their	PRON
ejpam-6012	369	6	appreciation	appreciation	NOUN
ejpam-6012	369	7	to	to	ADP
ejpam-6012	369	8	the	the	DET
ejpam-6012	369	9	deanship	deanship	NOUN
ejpam-6012	369	10	of	of	ADP
ejpam-6012	369	11	scientific	scientific	ADJ
ejpam-6012	369	12	research	research	NOUN
ejpam-6012	369	13	at	at	ADP
ejpam-6012	369	14	king	king	PROPN
ejpam-6012	369	15	khalid	khalid	PROPN
ejpam-6012	369	16	university	university	PROPN
ejpam-6012	369	17	for	for	ADP
ejpam-6012	369	18	funding	fund	VERB
ejpam-6012	369	19	this	this	DET
ejpam-6012	369	20	work	work	NOUN
ejpam-6012	369	21	through	through	ADP
ejpam-6012	369	22	large	large	ADJ
ejpam-6012	369	23	group	group	NOUN
ejpam-6012	369	24	research	research	NOUN
ejpam-6012	369	25	project	project	NOUN
ejpam-6012	369	26	under	under	ADP
ejpam-6012	369	27	grant	grant	NOUN
ejpam-6012	369	28	number	number	NOUN
ejpam-6012	369	29	rgp.2/51/46	rgp.2/51/46	NOUN
ejpam-6012	369	30	.	.	PUNCT
ejpam-6012	370	1	ethics	ethic	NOUN
ejpam-6012	370	2	approval	approval	NOUN
ejpam-6012	370	3	and	and	CCONJ
ejpam-6012	370	4	consent	consent	NOUN
ejpam-6012	370	5	to	to	PART
ejpam-6012	370	6	participate	participate	VERB
ejpam-6012	370	7	:	:	PUNCT
ejpam-6012	370	8	all	all	DET
ejpam-6012	370	9	the	the	DET
ejpam-6012	370	10	authors	author	NOUN
ejpam-6012	370	11	approve	approve	VERB
ejpam-6012	370	12	their	their	PRON
ejpam-6012	370	13	consent	consent	NOUN
ejpam-6012	370	14	.	.	PUNCT
ejpam-6012	371	1	consent	consent	NOUN
ejpam-6012	371	2	for	for	ADP
ejpam-6012	371	3	publication	publication	NOUN
ejpam-6012	371	4	:	:	PUNCT
ejpam-6012	371	5	the	the	DET
ejpam-6012	371	6	authors	author	NOUN
ejpam-6012	371	7	approve	approve	VERB
ejpam-6012	371	8	this	this	DET
ejpam-6012	371	9	version	version	NOUN
ejpam-6012	371	10	for	for	ADP
ejpam-6012	371	11	publication	publication	NOUN
ejpam-6012	371	12	.	.	PUNCT
ejpam-6012	372	1	availability	availability	NOUN
ejpam-6012	372	2	of	of	ADP
ejpam-6012	372	3	data	datum	NOUN
ejpam-6012	372	4	and	and	CCONJ
ejpam-6012	372	5	materials	material	NOUN
ejpam-6012	372	6	:	:	PUNCT
ejpam-6012	372	7	all	all	DET
ejpam-6012	372	8	data	datum	NOUN
ejpam-6012	372	9	generated	generate	VERB
ejpam-6012	372	10	or	or	CCONJ
ejpam-6012	372	11	analyzed	analyze	VERB
ejpam-6012	372	12	during	during	ADP
ejpam-6012	372	13	this	this	DET
ejpam-6012	372	14	study	study	NOUN
ejpam-6012	372	15	are	be	AUX
ejpam-6012	372	16	included	include	VERB
ejpam-6012	372	17	in	in	ADP
ejpam-6012	372	18	this	this	DET
ejpam-6012	372	19	published	publish	VERB
ejpam-6012	372	20	article	article	NOUN
ejpam-6012	372	21	.	.	PUNCT
ejpam-6012	373	1	competing	compete	VERB
ejpam-6012	373	2	interests	interest	NOUN
ejpam-6012	373	3	:	:	PUNCT
ejpam-6012	373	4	the	the	DET
ejpam-6012	373	5	authors	author	NOUN
ejpam-6012	373	6	profess	profess	VERB
ejpam-6012	373	7	no	no	DET
ejpam-6012	373	8	conflicts	conflict	NOUN
ejpam-6012	373	9	of	of	ADP
ejpam-6012	373	10	interest	interest	NOUN
ejpam-6012	373	11	.	.	PUNCT
ejpam-6012	374	1	references	reference	NOUN
ejpam-6012	374	2	[	[	X
ejpam-6012	374	3	1	1	NUM
ejpam-6012	374	4	]	]	X
ejpam-6012	374	5	z	z	PROPN
ejpam-6012	374	6	li	li	PROPN
ejpam-6012	374	7	,	,	PUNCT
ejpam-6012	374	8	s	s	VERB
ejpam-6012	374	9	tian	tian	ADJ
ejpam-6012	374	10	,	,	PUNCT
ejpam-6012	374	11	and	and	CCONJ
ejpam-6012	374	12	j	j	PROPN
ejpam-6012	374	13	yang	yang	PROPN
ejpam-6012	374	14	.	.	PUNCT
ejpam-6012	375	1	on	on	ADP
ejpam-6012	375	2	the	the	DET
ejpam-6012	375	3	soliton	soliton	NOUN
ejpam-6012	375	4	resolution	resolution	NOUN
ejpam-6012	375	5	and	and	CCONJ
ejpam-6012	375	6	the	the	DET
ejpam-6012	375	7	asymptotic	asymptotic	ADJ
ejpam-6012	375	8	stability	stability	NOUN
ejpam-6012	375	9	of	of	ADP
ejpam-6012	375	10	n	n	CCONJ
ejpam-6012	375	11	-	-	PUNCT
ejpam-6012	375	12	soliton	soliton	NOUN
ejpam-6012	375	13	solution	solution	NOUN
ejpam-6012	375	14	for	for	ADP
ejpam-6012	375	15	the	the	DET
ejpam-6012	375	16	wadati	wadati	NOUN
ejpam-6012	375	17	-	-	PUNCT
ejpam-6012	375	18	konno	konno	NOUN
ejpam-6012	375	19	-	-	PUNCT
ejpam-6012	375	20	ichikawa	ichikawa	NOUN
ejpam-6012	375	21	equation	equation	NOUN
ejpam-6012	375	22	with	with	ADP
ejpam-6012	375	23	finite	finite	ADJ
ejpam-6012	375	24	density	density	NOUN
ejpam-6012	375	25	initial	initial	ADJ
ejpam-6012	375	26	data	datum	NOUN
ejpam-6012	375	27	in	in	ADP
ejpam-6012	375	28	space	space	NOUN
ejpam-6012	375	29	-	-	PUNCT
ejpam-6012	375	30	time	time	NOUN
ejpam-6012	375	31	solitonic	solitonic	ADJ
ejpam-6012	375	32	regions	region	NOUN
ejpam-6012	375	33	.	.	PUNCT
ejpam-6012	376	1	advances	advance	NOUN
ejpam-6012	376	2	in	in	ADP
ejpam-6012	376	3	mathematics	mathematic	NOUN
ejpam-6012	376	4	,	,	PUNCT
ejpam-6012	376	5	(	(	PUNCT
ejpam-6012	376	6	409):108639	409):108639	NUM
ejpam-6012	376	7	,	,	PUNCT
ejpam-6012	376	8	2022	2022	NUM
ejpam-6012	376	9	.	.	PUNCT
ejpam-6012	377	1	[	[	X
ejpam-6012	377	2	2	2	NUM
ejpam-6012	377	3	]	]	PUNCT
ejpam-6012	377	4	z	z	PROPN
ejpam-6012	377	5	li	li	PROPN
ejpam-6012	377	6	,	,	PUNCT
ejpam-6012	377	7	s	s	VERB
ejpam-6012	377	8	tian	tian	ADJ
ejpam-6012	377	9	,	,	PUNCT
ejpam-6012	377	10	and	and	CCONJ
ejpam-6012	377	11	j	j	PROPN
ejpam-6012	377	12	yang	yang	PROPN
ejpam-6012	377	13	.	.	PUNCT
ejpam-6012	378	1	on	on	ADP
ejpam-6012	378	2	the	the	DET
ejpam-6012	378	3	asymptotic	asymptotic	ADJ
ejpam-6012	378	4	stability	stability	NOUN
ejpam-6012	378	5	of	of	ADP
ejpam-6012	378	6	n	n	CCONJ
ejpam-6012	378	7	-	-	PUNCT
ejpam-6012	378	8	soliton	soliton	NOUN
ejpam-6012	378	9	solution	solution	NOUN
ejpam-6012	378	10	for	for	ADP
ejpam-6012	378	11	the	the	DET
ejpam-6012	378	12	short	short	ADJ
ejpam-6012	378	13	pulse	pulse	NOUN
ejpam-6012	378	14	equation	equation	NOUN
ejpam-6012	378	15	with	with	ADP
ejpam-6012	378	16	weighted	weight	VERB
ejpam-6012	378	17	sobolev	sobolev	PROPN
ejpam-6012	378	18	initial	initial	ADJ
ejpam-6012	378	19	data	datum	NOUN
ejpam-6012	378	20	.	.	PUNCT
ejpam-6012	379	1	journal	journal	PROPN
ejpam-6012	379	2	of	of	ADP
ejpam-6012	379	3	differential	differential	ADJ
ejpam-6012	379	4	equations	equation	NOUN
ejpam-6012	379	5	,	,	PUNCT
ejpam-6012	379	6	(	(	PUNCT
ejpam-6012	379	7	377):121–87	377):121–87	NUM
ejpam-6012	379	8	,	,	PUNCT
ejpam-6012	379	9	2023	2023	NUM
ejpam-6012	379	10	.	.	PUNCT
ejpam-6012	380	1	[	[	X
ejpam-6012	380	2	3	3	X
ejpam-6012	380	3	]	]	PUNCT
ejpam-6012	380	4	a	a	DET
ejpam-6012	380	5	wazwaz	wazwaz	NOUN
ejpam-6012	380	6	.	.	PUNCT
ejpam-6012	381	1	multiple	multiple	ADJ
ejpam-6012	381	2	kink	kink	PROPN
ejpam-6012	381	3	solutions	solution	NOUN
ejpam-6012	381	4	and	and	CCONJ
ejpam-6012	381	5	multiple	multiple	ADJ
ejpam-6012	381	6	singular	singular	ADJ
ejpam-6012	381	7	kink	kink	PROPN
ejpam-6012	381	8	solutions	solution	NOUN
ejpam-6012	381	9	for	for	ADP
ejpam-6012	381	10	(	(	PUNCT
ejpam-6012	381	11	2	2	NUM
ejpam-6012	381	12	+	+	NOUN
ejpam-6012	381	13	1)dimensional	1)dimensional	ADJ
ejpam-6012	381	14	nonlinear	nonlinear	ADJ
ejpam-6012	381	15	models	model	NOUN
ejpam-6012	381	16	generated	generate	VERB
ejpam-6012	381	17	by	by	ADP
ejpam-6012	381	18	the	the	DET
ejpam-6012	381	19	jaulent	jaulent	NOUN
ejpam-6012	381	20	–	–	PUNCT
ejpam-6012	381	21	miodek	miodek	NOUN
ejpam-6012	381	22	hierarchy	hierarchy	NOUN
ejpam-6012	381	23	.	.	PUNCT
ejpam-6012	382	1	physics	physics	NOUN
ejpam-6012	382	2	letters	letter	NOUN
ejpam-6012	382	3	a	a	PRON
ejpam-6012	382	4	,	,	PUNCT
ejpam-6012	382	5	21(373):1844–6	21(373):1844–6	NOUN
ejpam-6012	382	6	,	,	PUNCT
ejpam-6012	382	7	2009	2009	NUM
ejpam-6012	382	8	.	.	PUNCT
ejpam-6012	383	1	[	[	X
ejpam-6012	383	2	4	4	NUM
ejpam-6012	383	3	]	]	X
ejpam-6012	383	4	x	x	X
ejpam-6012	383	5	geng	geng	PROPN
ejpam-6012	383	6	,	,	PUNCT
ejpam-6012	383	7	c	c	PROPN
ejpam-6012	383	8	cao	cao	PROPN
ejpam-6012	383	9	,	,	PUNCT
ejpam-6012	383	10	and	and	CCONJ
ejpam-6012	383	11	h	h	PROPN
ejpam-6012	383	12	dai	dai	PROPN
ejpam-6012	383	13	.	.	PUNCT
ejpam-6012	383	14	quasi	quasi	ADJ
ejpam-6012	383	15	-	-	ADJ
ejpam-6012	383	16	periodic	periodic	ADJ
ejpam-6012	383	17	solutions	solution	NOUN
ejpam-6012	383	18	for	for	ADP
ejpam-6012	383	19	some	some	DET
ejpam-6012	383	20	(	(	PUNCT
ejpam-6012	383	21	2	2	NUM
ejpam-6012	383	22	+	+	NOUN
ejpam-6012	383	23	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	383	24	a.	a.	NOUN
ejpam-6012	383	25	hussain	hussain	PROPN
ejpam-6012	383	26	et	et	PROPN
ejpam-6012	383	27	al	al	PROPN
ejpam-6012	383	28	.	.	PUNCT
ejpam-6012	383	29	/	/	SYM
ejpam-6012	383	30	eur	eur	PROPN
ejpam-6012	383	31	.	.	PUNCT
ejpam-6012	384	1	j.	j.	PROPN
ejpam-6012	384	2	pure	pure	PROPN
ejpam-6012	384	3	appl	appl	PROPN
ejpam-6012	384	4	.	.	PROPN
ejpam-6012	384	5	math	math	PROPN
ejpam-6012	384	6	,	,	PUNCT
ejpam-6012	384	7	18	18	NUM
ejpam-6012	384	8	(	(	PUNCT
ejpam-6012	384	9	3	3	NUM
ejpam-6012	384	10	)	)	PUNCT
ejpam-6012	384	11	(	(	PUNCT
ejpam-6012	384	12	2025	2025	NUM
ejpam-6012	384	13	)	)	PUNCT
ejpam-6012	384	14	,	,	PUNCT
ejpam-6012	384	15	6012	6012	NUM
ejpam-6012	384	16	20	20	NUM
ejpam-6012	384	17	of	of	ADP
ejpam-6012	384	18	20	20	NUM
ejpam-6012	384	19	integrable	integrable	ADJ
ejpam-6012	384	20	models	model	NOUN
ejpam-6012	384	21	generated	generate	VERB
ejpam-6012	384	22	by	by	ADP
ejpam-6012	384	23	the	the	DET
ejpam-6012	384	24	jaulent	jaulent	NOUN
ejpam-6012	384	25	-	-	PUNCT
ejpam-6012	384	26	miodek	miodek	PROPN
ejpam-6012	384	27	hierarchy	hierarchy	NOUN
ejpam-6012	384	28	.	.	PUNCT
ejpam-6012	385	1	journal	journal	PROPN
ejpam-6012	385	2	of	of	ADP
ejpam-6012	385	3	physics	physics	PROPN
ejpam-6012	385	4	a	a	PRON
ejpam-6012	385	5	:	:	PUNCT
ejpam-6012	385	6	mathematical	mathematical	ADJ
ejpam-6012	385	7	and	and	CCONJ
ejpam-6012	385	8	general	general	ADJ
ejpam-6012	385	9	,	,	PUNCT
ejpam-6012	385	10	5(34):989	5(34):989	NUM
ejpam-6012	385	11	,	,	PUNCT
ejpam-6012	385	12	2001	2001	NUM
ejpam-6012	385	13	.	.	PUNCT
ejpam-6012	386	1	[	[	X
ejpam-6012	386	2	5	5	NUM
ejpam-6012	386	3	]	]	PUNCT
ejpam-6012	386	4	x	x	X
ejpam-6012	386	5	geng	geng	PROPN
ejpam-6012	386	6	and	and	CCONJ
ejpam-6012	386	7	y	y	PROPN
ejpam-6012	386	8	ma	ma	PROPN
ejpam-6012	386	9	.	.	PROPN
ejpam-6012	386	10	n	n	CCONJ
ejpam-6012	386	11	-	-	PUNCT
ejpam-6012	386	12	soliton	soliton	NOUN
ejpam-6012	386	13	solution	solution	NOUN
ejpam-6012	386	14	and	and	CCONJ
ejpam-6012	386	15	its	its	PRON
ejpam-6012	386	16	wronskian	wronskian	ADJ
ejpam-6012	386	17	form	form	NOUN
ejpam-6012	386	18	of	of	ADP
ejpam-6012	386	19	a	a	DET
ejpam-6012	386	20	(	(	PUNCT
ejpam-6012	386	21	3	3	NUM
ejpam-6012	386	22	+	+	NOUN
ejpam-6012	386	23	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	386	24	nonlinear	nonlinear	ADJ
ejpam-6012	386	25	evolution	evolution	NOUN
ejpam-6012	386	26	equation	equation	NOUN
ejpam-6012	386	27	.	.	PUNCT
ejpam-6012	387	1	physics	physics	NOUN
ejpam-6012	387	2	letters	letter	NOUN
ejpam-6012	387	3	a	a	PRON
ejpam-6012	387	4	,	,	PUNCT
ejpam-6012	387	5	4(369):285–9	4(369):285–9	PROPN
ejpam-6012	387	6	,	,	PUNCT
ejpam-6012	387	7	2007	2007	NUM
ejpam-6012	387	8	.	.	PUNCT
ejpam-6012	388	1	[	[	X
ejpam-6012	388	2	6	6	NUM
ejpam-6012	388	3	]	]	PUNCT
ejpam-6012	388	4	w	w	NOUN
ejpam-6012	388	5	hereman	hereman	NOUN
ejpam-6012	388	6	and	and	CCONJ
ejpam-6012	388	7	a	a	DET
ejpam-6012	388	8	nuseir	nuseir	NOUN
ejpam-6012	388	9	.	.	PUNCT
ejpam-6012	388	10	symbolic	symbolic	ADJ
ejpam-6012	388	11	methods	method	NOUN
ejpam-6012	388	12	to	to	PART
ejpam-6012	388	13	construct	construct	VERB
ejpam-6012	388	14	exact	exact	ADJ
ejpam-6012	388	15	solutions	solution	NOUN
ejpam-6012	388	16	of	of	ADP
ejpam-6012	388	17	nonlinear	nonlinear	ADJ
ejpam-6012	388	18	partial	partial	ADJ
ejpam-6012	388	19	differential	differential	NOUN
ejpam-6012	388	20	equations	equation	NOUN
ejpam-6012	388	21	.	.	PUNCT
ejpam-6012	389	1	mathematics	mathematic	NOUN
ejpam-6012	389	2	and	and	CCONJ
ejpam-6012	389	3	computers	computer	NOUN
ejpam-6012	389	4	in	in	ADP
ejpam-6012	389	5	simulation	simulation	NOUN
ejpam-6012	389	6	,	,	PUNCT
ejpam-6012	389	7	1(43):13	1(43):13	NUM
ejpam-6012	389	8	–	–	PUNCT
ejpam-6012	389	9	27	27	NUM
ejpam-6012	389	10	,	,	PUNCT
ejpam-6012	389	11	1997	1997	NUM
ejpam-6012	389	12	.	.	PUNCT
ejpam-6012	390	1	[	[	X
ejpam-6012	390	2	7	7	X
ejpam-6012	390	3	]	]	X
ejpam-6012	390	4	a	a	DET
ejpam-6012	390	5	wazwaz	wazwaz	NOUN
ejpam-6012	390	6	.	.	PUNCT
ejpam-6012	391	1	multiple	multiple	ADJ
ejpam-6012	391	2	soliton	soliton	NOUN
ejpam-6012	391	3	solutions	solution	NOUN
ejpam-6012	391	4	for	for	ADP
ejpam-6012	391	5	some	some	DET
ejpam-6012	391	6	(	(	PUNCT
ejpam-6012	391	7	3	3	NUM
ejpam-6012	391	8	+	+	NOUN
ejpam-6012	391	9	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	391	10	nonlinear	nonlinear	ADJ
ejpam-6012	391	11	models	model	NOUN
ejpam-6012	391	12	generated	generate	VERB
ejpam-6012	391	13	by	by	ADP
ejpam-6012	391	14	the	the	DET
ejpam-6012	391	15	jaulent	jaulent	NOUN
ejpam-6012	391	16	-	-	PUNCT
ejpam-6012	391	17	miodek	miodek	PROPN
ejpam-6012	391	18	hierarchy	hierarchy	NOUN
ejpam-6012	391	19	.	.	PUNCT
ejpam-6012	392	1	applied	apply	VERB
ejpam-6012	392	2	mathematics	mathematics	NOUN
ejpam-6012	392	3	letters	letter	NOUN
ejpam-6012	392	4	,	,	PUNCT
ejpam-6012	392	5	11(25):1936–40	11(25):1936–40	NUM
ejpam-6012	392	6	,	,	PUNCT
ejpam-6012	392	7	2012	2012	NUM
ejpam-6012	392	8	.	.	PUNCT
ejpam-6012	393	1	[	[	X
ejpam-6012	393	2	8	8	NUM
ejpam-6012	393	3	]	]	PUNCT
ejpam-6012	393	4	n	n	PRON
ejpam-6012	393	5	zinat	zinat	NOUN
ejpam-6012	393	6	,	,	PUNCT
ejpam-6012	393	7	a	a	DET
ejpam-6012	393	8	hussain	hussain	NOUN
ejpam-6012	393	9	,	,	PUNCT
ejpam-6012	393	10	a	a	DET
ejpam-6012	393	11	kara	kara	NOUN
ejpam-6012	393	12	,	,	PUNCT
ejpam-6012	393	13	and	and	CCONJ
ejpam-6012	393	14	f	f	PROPN
ejpam-6012	393	15	zaman	zaman	PROPN
ejpam-6012	393	16	.	.	PROPN
ejpam-6012	394	1	lie	lie	PROPN
ejpam-6012	394	2	group	group	NOUN
ejpam-6012	394	3	analysis	analysis	NOUN
ejpam-6012	394	4	and	and	CCONJ
ejpam-6012	394	5	conservation	conservation	NOUN
ejpam-6012	394	6	laws	law	NOUN
ejpam-6012	394	7	for	for	ADP
ejpam-6012	394	8	the	the	DET
ejpam-6012	394	9	time	time	NOUN
ejpam-6012	394	10	-	-	PUNCT
ejpam-6012	394	11	fractional	fractional	ADJ
ejpam-6012	394	12	3d	3d	PROPN
ejpam-6012	394	13	bateman	bateman	PROPN
ejpam-6012	394	14	-	-	PUNCT
ejpam-6012	394	15	burgers	burger	NOUN
ejpam-6012	394	16	equation	equation	NOUN
ejpam-6012	394	17	.	.	PUNCT
ejpam-6012	395	1	afrika	afrika	PROPN
ejpam-6012	395	2	matematika	matematika	PROPN
ejpam-6012	395	3	,	,	PUNCT
ejpam-6012	395	4	2(36):1–6	2(36):1–6	PRON
ejpam-6012	395	5	,	,	PUNCT
ejpam-6012	395	6	2025	2025	NUM
ejpam-6012	395	7	.	.	PUNCT
ejpam-6012	396	1	[	[	X
ejpam-6012	396	2	9	9	NUM
ejpam-6012	396	3	]	]	X
ejpam-6012	396	4	a	a	DET
ejpam-6012	396	5	hussain	hussain	PROPN
ejpam-6012	396	6	.	.	PUNCT
ejpam-6012	397	1	invariant	invariant	ADJ
ejpam-6012	397	2	analysis	analysis	NOUN
ejpam-6012	397	3	and	and	CCONJ
ejpam-6012	397	4	equivalence	equivalence	NOUN
ejpam-6012	397	5	transformations	transformation	NOUN
ejpam-6012	397	6	for	for	ADP
ejpam-6012	397	7	the	the	DET
ejpam-6012	397	8	non	non	ADJ
ejpam-6012	397	9	-	-	ADJ
ejpam-6012	397	10	linear	linear	ADJ
ejpam-6012	397	11	wave	wave	NOUN
ejpam-6012	397	12	equation	equation	NOUN
ejpam-6012	397	13	in	in	ADP
ejpam-6012	397	14	elasticity	elasticity	NOUN
ejpam-6012	397	15	.	.	PUNCT
ejpam-6012	398	1	partial	partial	ADJ
ejpam-6012	398	2	differential	differential	ADJ
ejpam-6012	398	3	equations	equation	NOUN
ejpam-6012	398	4	in	in	ADP
ejpam-6012	398	5	applied	applied	ADJ
ejpam-6012	398	6	mathematics	mathematic	NOUN
ejpam-6012	398	7	,	,	PUNCT
ejpam-6012	398	8	(	(	PUNCT
ejpam-6012	398	9	13):101123	13):101123	NUM
ejpam-6012	398	10	,	,	PUNCT
ejpam-6012	398	11	2025	2025	NUM
ejpam-6012	398	12	.	.	PUNCT
ejpam-6012	399	1	[	[	X
ejpam-6012	399	2	10	10	NUM
ejpam-6012	399	3	]	]	X
ejpam-6012	399	4	a	a	DET
ejpam-6012	399	5	hussain	hussain	PROPN
ejpam-6012	399	6	,	,	PUNCT
ejpam-6012	399	7	m	m	PROPN
ejpam-6012	399	8	usman	usman	PROPN
ejpam-6012	399	9	,	,	PUNCT
ejpam-6012	399	10	f	f	PROPN
ejpam-6012	399	11	zaman	zaman	PROPN
ejpam-6012	399	12	,	,	PUNCT
ejpam-6012	399	13	a	a	DET
ejpam-6012	399	14	zidan	zidan	PROPN
ejpam-6012	399	15	,	,	PUNCT
ejpam-6012	399	16	and	and	CCONJ
ejpam-6012	399	17	j	j	PROPN
ejpam-6012	399	18	herrera	herrera	NOUN
ejpam-6012	399	19	.	.	PUNCT
ejpam-6012	400	1	noether	noether	ADJ
ejpam-6012	400	2	and	and	CCONJ
ejpam-6012	400	3	partial	partial	ADJ
ejpam-6012	400	4	noether	noether	ADJ
ejpam-6012	400	5	approach	approach	NOUN
ejpam-6012	400	6	for	for	ADP
ejpam-6012	400	7	the	the	DET
ejpam-6012	400	8	nonlinear	nonlinear	NOUN
ejpam-6012	400	9	(	(	PUNCT
ejpam-6012	400	10	3	3	NUM
ejpam-6012	400	11	+	+	NOUN
ejpam-6012	400	12	1)-dimensional	1)-dimensional	ADJ
ejpam-6012	400	13	elastic	elastic	ADJ
ejpam-6012	400	14	wave	wave	NOUN
ejpam-6012	400	15	equations	equation	NOUN
ejpam-6012	400	16	.	.	PUNCT
ejpam-6012	401	1	plos	plos	PROPN
ejpam-6012	401	2	one	one	NUM
ejpam-6012	401	3	,	,	PUNCT
ejpam-6012	401	4	1(20):e0315505	1(20):e0315505	NUM
ejpam-6012	401	5	,	,	PUNCT
ejpam-6012	401	6	2025	2025	NUM
ejpam-6012	401	7	.	.	PUNCT
ejpam-6012	402	1	[	[	X
ejpam-6012	402	2	11	11	NUM
ejpam-6012	402	3	]	]	X
ejpam-6012	402	4	s	s	VERB
ejpam-6012	402	5	tian	tian	PROPN
ejpam-6012	402	6	,	,	PUNCT
ejpam-6012	402	7	m	m	VERB
ejpam-6012	402	8	xu	xu	ADJ
ejpam-6012	402	9	,	,	PUNCT
ejpam-6012	402	10	and	and	CCONJ
ejpam-6012	402	11	t	t	PROPN
ejpam-6012	402	12	zhang	zhang	PROPN
ejpam-6012	402	13	.	.	PUNCT
ejpam-6012	403	1	a	a	DET
ejpam-6012	403	2	symmetry	symmetry	NOUN
ejpam-6012	403	3	-	-	PUNCT
ejpam-6012	403	4	preserving	preserve	VERB
ejpam-6012	403	5	difference	difference	NOUN
ejpam-6012	403	6	scheme	scheme	NOUN
ejpam-6012	403	7	and	and	CCONJ
ejpam-6012	403	8	analytical	analytical	ADJ
ejpam-6012	403	9	solutions	solution	NOUN
ejpam-6012	403	10	of	of	ADP
ejpam-6012	403	11	a	a	DET
ejpam-6012	403	12	generalized	generalized	ADJ
ejpam-6012	403	13	higher	high	ADJ
ejpam-6012	403	14	-	-	PUNCT
ejpam-6012	403	15	order	order	NOUN
ejpam-6012	403	16	beam	beam	NOUN
ejpam-6012	403	17	equation	equation	NOUN
ejpam-6012	403	18	.	.	PUNCT
ejpam-6012	404	1	proceedings	proceeding	NOUN
ejpam-6012	404	2	of	of	ADP
ejpam-6012	404	3	the	the	DET
ejpam-6012	404	4	royal	royal	ADJ
ejpam-6012	404	5	society	society	NOUN
ejpam-6012	404	6	a	a	PRON
ejpam-6012	404	7	,	,	PUNCT
ejpam-6012	404	8	2255(477):20210455	2255(477):20210455	NUM
ejpam-6012	404	9	,	,	PUNCT
ejpam-6012	404	10	2021	2021	NUM
ejpam-6012	404	11	.	.	PUNCT
ejpam-6012	405	1	[	[	X
ejpam-6012	405	2	12	12	NUM
ejpam-6012	405	3	]	]	X
ejpam-6012	405	4	l	l	NOUN
ejpam-6012	405	5	ovsyannikov	ovsyannikov	PROPN
ejpam-6012	405	6	.	.	PUNCT
ejpam-6012	406	1	lectures	lecture	NOUN
ejpam-6012	406	2	on	on	ADP
ejpam-6012	406	3	the	the	DET
ejpam-6012	406	4	theory	theory	NOUN
ejpam-6012	406	5	of	of	ADP
ejpam-6012	406	6	group	group	NOUN
ejpam-6012	406	7	properties	property	NOUN
ejpam-6012	406	8	of	of	ADP
ejpam-6012	406	9	differential	differential	ADJ
ejpam-6012	406	10	equations	equation	NOUN
ejpam-6012	406	11	.	.	PUNCT
ejpam-6012	407	1	world	world	NOUN
ejpam-6012	407	2	scientific	scientific	ADJ
ejpam-6012	407	3	publishing	publishing	NOUN
ejpam-6012	407	4	company	company	NOUN
ejpam-6012	407	5	,	,	PUNCT
ejpam-6012	407	6	2013	2013	NUM
ejpam-6012	407	7	.	.	PUNCT
ejpam-6012	408	1	[	[	X
ejpam-6012	408	2	13	13	NUM
ejpam-6012	408	3	]	]	SYM
ejpam-6012	408	4	g	g	PROPN
ejpam-6012	408	5	bluman	bluman	NOUN
ejpam-6012	408	6	and	and	CCONJ
ejpam-6012	408	7	s	s	PROPN
ejpam-6012	408	8	anco	anco	PROPN
ejpam-6012	408	9	.	.	PUNCT
ejpam-6012	409	1	symmetry	symmetry	NOUN
ejpam-6012	409	2	and	and	CCONJ
ejpam-6012	409	3	integration	integration	NOUN
ejpam-6012	409	4	methods	method	NOUN
ejpam-6012	409	5	for	for	ADP
ejpam-6012	409	6	differential	differential	ADJ
ejpam-6012	409	7	equations	equation	NOUN
ejpam-6012	409	8	.	.	PUNCT
ejpam-6012	410	1	springer	springer	NOUN
ejpam-6012	410	2	science	science	PROPN
ejpam-6012	410	3	&	&	CCONJ
ejpam-6012	410	4	business	business	NOUN
ejpam-6012	410	5	media	medium	NOUN
ejpam-6012	410	6	,	,	PUNCT
ejpam-6012	410	7	2008	2008	NUM
ejpam-6012	410	8	.	.	PUNCT
ejpam-6012	411	1	[	[	X
ejpam-6012	411	2	14	14	NUM
ejpam-6012	411	3	]	]	X
ejpam-6012	411	4	p	p	X
ejpam-6012	411	5	olver	olver	NOUN
ejpam-6012	411	6	.	.	PUNCT
ejpam-6012	412	1	applications	application	NOUN
ejpam-6012	412	2	of	of	ADP
ejpam-6012	412	3	lie	lie	NOUN
ejpam-6012	412	4	groups	group	NOUN
ejpam-6012	412	5	to	to	PART
ejpam-6012	412	6	differential	differential	VERB
ejpam-6012	412	7	equations	equation	NOUN
ejpam-6012	412	8	.	.	PUNCT
ejpam-6012	412	9	.	.	PUNCT
ejpam-6012	413	1	springer	springer	PROPN
ejpam-6012	413	2	science	science	PROPN
ejpam-6012	413	3	&	&	CCONJ
ejpam-6012	413	4	business	business	NOUN
ejpam-6012	413	5	media	medium	NOUN
ejpam-6012	413	6	,	,	PUNCT
ejpam-6012	413	7	1993	1993	NUM
ejpam-6012	413	8	.	.	PUNCT
ejpam-6012	414	1	[	[	X
ejpam-6012	414	2	15	15	NUM
ejpam-6012	414	3	]	]	X
ejpam-6012	414	4	n	n	CCONJ
ejpam-6012	414	5	ibragimov	ibragimov	NOUN
ejpam-6012	414	6	.	.	PUNCT
ejpam-6012	415	1	crc	crc	PROPN
ejpam-6012	415	2	handbook	handbook	PROPN
ejpam-6012	415	3	of	of	ADP
ejpam-6012	415	4	lie	lie	NOUN
ejpam-6012	415	5	group	group	NOUN
ejpam-6012	415	6	analysis	analysis	NOUN
ejpam-6012	415	7	of	of	ADP
ejpam-6012	415	8	differential	differential	ADJ
ejpam-6012	415	9	equations	equation	NOUN
ejpam-6012	415	10	.	.	PUNCT
ejpam-6012	415	11	.	.	PUNCT
ejpam-6012	416	1	crc	crc	PROPN
ejpam-6012	416	2	press	press	PROPN
ejpam-6012	416	3	,	,	PUNCT
ejpam-6012	416	4	1995	1995	NUM
ejpam-6012	416	5	.	.	PUNCT
ejpam-6012	417	1	[	[	X
ejpam-6012	417	2	16	16	NUM
ejpam-6012	417	3	]	]	X
ejpam-6012	417	4	r	r	NOUN
ejpam-6012	417	5	naz	naz	PROPN
ejpam-6012	417	6	,	,	PUNCT
ejpam-6012	417	7	f	f	PROPN
ejpam-6012	417	8	mahomed	mahome	VERB
ejpam-6012	417	9	,	,	PUNCT
ejpam-6012	417	10	and	and	CCONJ
ejpam-6012	417	11	d	d	PROPN
ejpam-6012	417	12	mason	mason	PROPN
ejpam-6012	417	13	.	.	PUNCT
ejpam-6012	418	1	comparison	comparison	NOUN
ejpam-6012	418	2	of	of	ADP
ejpam-6012	418	3	different	different	ADJ
ejpam-6012	418	4	approaches	approach	NOUN
ejpam-6012	418	5	to	to	ADP
ejpam-6012	418	6	conservation	conservation	NOUN
ejpam-6012	418	7	laws	law	NOUN
ejpam-6012	418	8	for	for	ADP
ejpam-6012	418	9	some	some	DET
ejpam-6012	418	10	partial	partial	ADJ
ejpam-6012	418	11	differential	differential	ADJ
ejpam-6012	418	12	equations	equation	NOUN
ejpam-6012	418	13	in	in	ADP
ejpam-6012	418	14	fluid	fluid	ADJ
ejpam-6012	418	15	mechanics	mechanic	NOUN
ejpam-6012	418	16	.	.	PUNCT
ejpam-6012	419	1	applied	apply	VERB
ejpam-6012	419	2	mathematics	mathematic	NOUN
ejpam-6012	419	3	and	and	CCONJ
ejpam-6012	419	4	computation	computation	NOUN
ejpam-6012	419	5	,	,	PUNCT
ejpam-6012	419	6	1(205):212–30	1(205):212–30	NUM
ejpam-6012	419	7	,	,	PUNCT
ejpam-6012	419	8	2008	2008	NUM
ejpam-6012	419	9	.	.	PUNCT
ejpam-6012	420	1	[	[	X
ejpam-6012	420	2	17	17	NUM
ejpam-6012	420	3	]	]	PUNCT
ejpam-6012	420	4	n	n	CCONJ
ejpam-6012	420	5	ibragimov	ibragimov	NOUN
ejpam-6012	420	6	.	.	PUNCT
ejpam-6012	421	1	a	a	DET
ejpam-6012	421	2	new	new	ADJ
ejpam-6012	421	3	conservation	conservation	NOUN
ejpam-6012	421	4	theorem	theorem	NOUN
ejpam-6012	421	5	.	.	PROPN
ejpam-6012	421	6	journal	journal	PROPN
ejpam-6012	421	7	of	of	ADP
ejpam-6012	421	8	mathematical	mathematical	ADJ
ejpam-6012	421	9	analysis	analysis	NOUN
ejpam-6012	421	10	and	and	CCONJ
ejpam-6012	421	11	applications	application	NOUN
ejpam-6012	421	12	,	,	PUNCT
ejpam-6012	421	13	1(333):311–28	1(333):311–28	NUM
ejpam-6012	421	14	,	,	PUNCT
ejpam-6012	421	15	2007	2007	NUM
ejpam-6012	421	16	.	.	PUNCT