id	sid	tid	token	lemma	pos
ijassa-1504	1	1	adv	adv	PROPN
ijassa-1504	1	2	syst	syst	PROPN
ijassa-1504	1	3	sci	sci	PROPN
ijassa-1504	1	4	appl	appl	PROPN
ijassa-1504	1	5	2023	2023	NUM
ijassa-1504	1	6	;	;	PUNCT
ijassa-1504	1	7	04:1–7	04:1–7	NUM
ijassa-1504	1	8	published	publish	VERB
ijassa-1504	1	9	online	online	ADV
ijassa-1504	1	10	at	at	ADP
ijassa-1504	1	11	https://ijassa.ipu.ru	https://ijassa.ipu.ru	ADV
ijassa-1504	1	12	.	.	PUNCT
ijassa-1504	2	1	an	an	DET
ijassa-1504	2	2	exact	exact	ADJ
ijassa-1504	2	3	solution	solution	NOUN
ijassa-1504	2	4	of	of	ADP
ijassa-1504	2	5	the	the	DET
ijassa-1504	2	6	hunter	hunter	NOUN
ijassa-1504	2	7	–	–	PUNCT
ijassa-1504	2	8	saxton	saxton	PROPN
ijassa-1504	2	9	–	–	PUNCT
ijassa-1504	2	10	calogero	calogero	PROPN
ijassa-1504	2	11	equation	equation	NOUN
ijassa-1504	2	12	by	by	ADP
ijassa-1504	2	13	contact	contact	NOUN
ijassa-1504	2	14	linearization	linearization	NOUN
ijassa-1504	2	15	method	method	PROPN
ijassa-1504	2	16	svetlana	svetlana	PROPN
ijassa-1504	2	17	mukhina	mukhina	PROPN
ijassa-1504	2	18	*	*	PROPN
ijassa-1504	2	19	v.a	v.a	PROPN
ijassa-1504	2	20	.	.	PROPN
ijassa-1504	2	21	trapeznikov	trapeznikov	PROPN
ijassa-1504	2	22	institute	institute	PROPN
ijassa-1504	2	23	of	of	ADP
ijassa-1504	2	24	control	control	PROPN
ijassa-1504	2	25	sciences	sciences	PROPN
ijassa-1504	2	26	of	of	ADP
ijassa-1504	2	27	russian	russian	ADJ
ijassa-1504	2	28	academy	academy	PROPN
ijassa-1504	2	29	of	of	ADP
ijassa-1504	2	30	sciences	sciences	PROPN
ijassa-1504	2	31	,	,	PUNCT
ijassa-1504	2	32	moscow	moscow	PROPN
ijassa-1504	2	33	,	,	PUNCT
ijassa-1504	2	34	russia	russia	PROPN
ijassa-1504	2	35	abstract	abstract	NOUN
ijassa-1504	2	36	:	:	PUNCT
ijassa-1504	2	37	in	in	ADP
ijassa-1504	2	38	this	this	DET
ijassa-1504	2	39	paper	paper	NOUN
ijassa-1504	2	40	we	we	PRON
ijassa-1504	2	41	consider	consider	VERB
ijassa-1504	2	42	a	a	DET
ijassa-1504	2	43	class	class	NOUN
ijassa-1504	2	44	of	of	ADP
ijassa-1504	2	45	generalized	generalized	ADJ
ijassa-1504	2	46	nonlinear	nonlinear	ADJ
ijassa-1504	2	47	hyperbolic	hyperbolic	ADJ
ijassa-1504	2	48	partial	partial	ADJ
ijassa-1504	2	49	differential	differential	NOUN
ijassa-1504	2	50	equations	equation	NOUN
ijassa-1504	2	51	of	of	ADP
ijassa-1504	2	52	the	the	DET
ijassa-1504	2	53	hunter	hunter	NOUN
ijassa-1504	2	54	–	–	PUNCT
ijassa-1504	2	55	saxton	saxton	PROPN
ijassa-1504	2	56	–	–	PUNCT
ijassa-1504	2	57	calogero	calogero	PROPN
ijassa-1504	2	58	type	type	NOUN
ijassa-1504	2	59	,	,	PUNCT
ijassa-1504	2	60	which	which	PRON
ijassa-1504	2	61	arise	arise	VERB
ijassa-1504	2	62	in	in	ADP
ijassa-1504	2	63	the	the	DET
ijassa-1504	2	64	theory	theory	NOUN
ijassa-1504	2	65	of	of	ADP
ijassa-1504	2	66	control	control	NOUN
ijassa-1504	2	67	of	of	ADP
ijassa-1504	2	68	liquid	liquid	ADJ
ijassa-1504	2	69	crystals	crystal	NOUN
ijassa-1504	2	70	and	and	CCONJ
ijassa-1504	2	71	in	in	ADP
ijassa-1504	2	72	the	the	DET
ijassa-1504	2	73	control	control	NOUN
ijassa-1504	2	74	of	of	ADP
ijassa-1504	2	75	unsteady	unsteady	ADJ
ijassa-1504	2	76	gas	gas	NOUN
ijassa-1504	2	77	flows	flow	NOUN
ijassa-1504	2	78	.	.	PUNCT
ijassa-1504	3	1	we	we	PRON
ijassa-1504	3	2	found	find	VERB
ijassa-1504	3	3	such	such	ADJ
ijassa-1504	3	4	conditions	condition	NOUN
ijassa-1504	3	5	that	that	SCONJ
ijassa-1504	3	6	the	the	DET
ijassa-1504	3	7	original	original	ADJ
ijassa-1504	3	8	equation	equation	NOUN
ijassa-1504	3	9	can	can	AUX
ijassa-1504	3	10	be	be	AUX
ijassa-1504	3	11	reduced	reduce	VERB
ijassa-1504	3	12	to	to	PART
ijassa-1504	3	13	linear	linear	VERB
ijassa-1504	3	14	one	one	NUM
ijassa-1504	3	15	by	by	ADP
ijassa-1504	3	16	contact	contact	NOUN
ijassa-1504	3	17	transformations	transformation	NOUN
ijassa-1504	3	18	.	.	PUNCT
ijassa-1504	4	1	the	the	DET
ijassa-1504	4	2	general	general	ADJ
ijassa-1504	4	3	exact	exact	ADJ
ijassa-1504	4	4	multivalued	multivalued	ADJ
ijassa-1504	4	5	solutions	solution	NOUN
ijassa-1504	4	6	of	of	ADP
ijassa-1504	4	7	the	the	DET
ijassa-1504	4	8	hunter	hunter	NOUN
ijassa-1504	4	9	–	–	PUNCT
ijassa-1504	4	10	saxton	saxton	PROPN
ijassa-1504	4	11	–	–	PUNCT
ijassa-1504	4	12	calogero	calogero	PROPN
ijassa-1504	4	13	equation	equation	NOUN
ijassa-1504	4	14	are	be	AUX
ijassa-1504	4	15	found	find	VERB
ijassa-1504	4	16	.	.	PUNCT
ijassa-1504	5	1	the	the	DET
ijassa-1504	5	2	obtained	obtain	VERB
ijassa-1504	5	3	solutions	solution	NOUN
ijassa-1504	5	4	are	be	AUX
ijassa-1504	5	5	visualized	visualize	VERB
ijassa-1504	5	6	.	.	PUNCT
ijassa-1504	6	1	keywords	keyword	NOUN
ijassa-1504	6	2	:	:	PUNCT
ijassa-1504	6	3	contact	contact	NOUN
ijassa-1504	6	4	transformations	transformation	NOUN
ijassa-1504	6	5	,	,	PUNCT
ijassa-1504	6	6	cartan	cartan	ADJ
ijassa-1504	6	7	form	form	NOUN
ijassa-1504	6	8	,	,	PUNCT
ijassa-1504	6	9	nematic	nematic	ADJ
ijassa-1504	6	10	crystals	crystal	NOUN
ijassa-1504	6	11	,	,	PUNCT
ijassa-1504	6	12	exact	exact	ADJ
ijassa-1504	6	13	solution	solution	NOUN
ijassa-1504	6	14	,	,	PUNCT
ijassa-1504	6	15	nonlinear	nonlinear	ADJ
ijassa-1504	6	16	partial	partial	ADJ
ijassa-1504	6	17	differential	differential	NOUN
ijassa-1504	6	18	equation	equation	NOUN
ijassa-1504	6	19	,	,	PUNCT
ijassa-1504	6	20	differential	differential	ADJ
ijassa-1504	6	21	forms	form	NOUN
ijassa-1504	6	22	.	.	PUNCT
ijassa-1504	7	1	1	1	X
ijassa-1504	7	2	.	.	X
ijassa-1504	7	3	introduction	introduction	NOUN
ijassa-1504	7	4	let	let	VERB
ijassa-1504	7	5	us	we	PRON
ijassa-1504	7	6	consider	consider	VERB
ijassa-1504	7	7	the	the	DET
ijassa-1504	7	8	generalized	generalize	VERB
ijassa-1504	7	9	nonlinear	nonlinear	ADJ
ijassa-1504	7	10	second	second	ADJ
ijassa-1504	7	11	-	-	PUNCT
ijassa-1504	7	12	order	order	NOUN
ijassa-1504	7	13	hunter	hunter	NOUN
ijassa-1504	7	14	–	–	PUNCT
ijassa-1504	7	15	saxton	saxton	PROPN
ijassa-1504	7	16	–	–	PUNCT
ijassa-1504	7	17	calogero	calogero	PROPN
ijassa-1504	7	18	partial	partial	ADJ
ijassa-1504	7	19	differential	differential	NOUN
ijassa-1504	7	20	equation	equation	NOUN
ijassa-1504	7	21	utx	utx	NOUN
ijassa-1504	7	22	=	=	PUNCT
ijassa-1504	7	23	uuxx	uuxx	NOUN
ijassa-1504	7	24	+	+	PRON
ijassa-1504	7	25	g(ux	g(ux	NOUN
ijassa-1504	7	26	)	)	PUNCT
ijassa-1504	7	27	,	,	PUNCT
ijassa-1504	7	28	(	(	PUNCT
ijassa-1504	7	29	1.1	1.1	NUM
ijassa-1504	7	30	)	)	PUNCT
ijassa-1504	7	31	where	where	SCONJ
ijassa-1504	7	32	u(t	u(t	NOUN
ijassa-1504	7	33	,	,	PUNCT
ijassa-1504	7	34	x	x	X
ijassa-1504	7	35	)	)	PUNCT
ijassa-1504	7	36	is	be	AUX
ijassa-1504	7	37	an	an	DET
ijassa-1504	7	38	unknown	unknown	ADJ
ijassa-1504	7	39	function	function	NOUN
ijassa-1504	7	40	,	,	PUNCT
ijassa-1504	7	41	t	t	PROPN
ijassa-1504	7	42	and	and	CCONJ
ijassa-1504	7	43	x	x	PRON
ijassa-1504	7	44	are	be	AUX
ijassa-1504	7	45	the	the	DET
ijassa-1504	7	46	time	time	NOUN
ijassa-1504	7	47	and	and	CCONJ
ijassa-1504	7	48	the	the	DET
ijassa-1504	7	49	spatial	spatial	ADJ
ijassa-1504	7	50	coordinates	coordinate	NOUN
ijassa-1504	7	51	,	,	PUNCT
ijassa-1504	7	52	respectively	respectively	ADV
ijassa-1504	7	53	.	.	PUNCT
ijassa-1504	8	1	such	such	ADJ
ijassa-1504	8	2	equations	equation	NOUN
ijassa-1504	8	3	withg(ux	withg(ux	VERB
ijassa-1504	8	4	)	)	PUNCT
ijassa-1504	9	1	=	=	SYM
ijassa-1504	9	2	κu2x	κu2x	PROPN
ijassa-1504	9	3	and	and	CCONJ
ijassa-1504	9	4	k	k	NOUN
ijassa-1504	9	5	=	=	NOUN
ijassa-1504	9	6	1	1	NUM
ijassa-1504	9	7	2	2	NUM
ijassa-1504	9	8	arise	arise	NOUN
ijassa-1504	9	9	in	in	ADP
ijassa-1504	9	10	the	the	DET
ijassa-1504	9	11	theory	theory	NOUN
ijassa-1504	9	12	of	of	ADP
ijassa-1504	9	13	nematic	nematic	ADJ
ijassa-1504	9	14	liquid	liquid	ADJ
ijassa-1504	9	15	crystals	crystal	NOUN
ijassa-1504	9	16	.	.	PUNCT
ijassa-1504	10	1	if	if	SCONJ
ijassa-1504	10	2	,	,	PUNCT
ijassa-1504	10	3	initially	initially	ADV
ijassa-1504	10	4	,	,	PUNCT
ijassa-1504	10	5	all	all	DET
ijassa-1504	10	6	molecules	molecule	NOUN
ijassa-1504	10	7	of	of	ADP
ijassa-1504	10	8	a	a	DET
ijassa-1504	10	9	liquid	liquid	ADJ
ijassa-1504	10	10	crystal	crystal	NOUN
ijassa-1504	10	11	are	be	AUX
ijassa-1504	10	12	aligned	align	VERB
ijassa-1504	10	13	,	,	PUNCT
ijassa-1504	10	14	then	then	ADV
ijassa-1504	10	15	some	some	PRON
ijassa-1504	10	16	of	of	ADP
ijassa-1504	10	17	them	they	PRON
ijassa-1504	10	18	will	will	AUX
ijassa-1504	10	19	shift	shift	VERB
ijassa-1504	10	20	slightly	slightly	ADV
ijassa-1504	10	21	and	and	CCONJ
ijassa-1504	10	22	disorientation	disorientation	NOUN
ijassa-1504	10	23	will	will	AUX
ijassa-1504	10	24	spread	spread	VERB
ijassa-1504	10	25	throughout	throughout	ADP
ijassa-1504	10	26	the	the	DET
ijassa-1504	10	27	crystal	crystal	NOUN
ijassa-1504	10	28	.	.	PUNCT
ijassa-1504	11	1	in	in	ADP
ijassa-1504	11	2	this	this	DET
ijassa-1504	11	3	case	case	NOUN
ijassa-1504	11	4	,	,	PUNCT
ijassa-1504	11	5	the	the	DET
ijassa-1504	11	6	function	function	NOUN
ijassa-1504	11	7	u(t	u(t	NOUN
ijassa-1504	11	8	,	,	PUNCT
ijassa-1504	11	9	x	x	X
ijassa-1504	11	10	)	)	PUNCT
ijassa-1504	11	11	describes	describe	VERB
ijassa-1504	11	12	the	the	DET
ijassa-1504	11	13	propagation	propagation	NOUN
ijassa-1504	11	14	of	of	ADP
ijassa-1504	11	15	weak	weak	ADJ
ijassa-1504	11	16	linear	linear	ADJ
ijassa-1504	11	17	orientation	orientation	NOUN
ijassa-1504	11	18	waves	wave	NOUN
ijassa-1504	11	19	in	in	ADP
ijassa-1504	11	20	the	the	DET
ijassa-1504	11	21	nematic	nematic	ADJ
ijassa-1504	11	22	liquid	liquid	NOUN
ijassa-1504	11	23	crystal	crystal	NOUN
ijassa-1504	12	1	[	[	X
ijassa-1504	12	2	1	1	NUM
ijassa-1504	12	3	]	]	PUNCT
ijassa-1504	12	4	.	.	PUNCT
ijassa-1504	13	1	the	the	DET
ijassa-1504	13	2	equation	equation	NOUN
ijassa-1504	13	3	with	with	ADP
ijassa-1504	13	4	κ	κ	PROPN
ijassa-1504	13	5	̸=	̸=	PROPN
ijassa-1504	13	6	1	1	NUM
ijassa-1504	13	7	2	2	NUM
ijassa-1504	13	8	is	be	AUX
ijassa-1504	13	9	used	use	VERB
ijassa-1504	13	10	in	in	ADP
ijassa-1504	13	11	hydrodynamics	hydrodynamic	NOUN
ijassa-1504	13	12	[	[	X
ijassa-1504	13	13	2	2	NUM
ijassa-1504	13	14	]	]	PUNCT
ijassa-1504	13	15	,	,	PUNCT
ijassa-1504	13	16	in	in	ADP
ijassa-1504	13	17	the	the	DET
ijassa-1504	13	18	geometry	geometry	NOUN
ijassa-1504	13	19	of	of	ADP
ijassa-1504	13	20	einstein	einstein	NOUN
ijassa-1504	13	21	–	–	PUNCT
ijassa-1504	13	22	weyl	weyl	VERB
ijassa-1504	13	23	spaces	space	NOUN
ijassa-1504	13	24	[	[	X
ijassa-1504	13	25	3	3	NUM
ijassa-1504	13	26	]	]	PUNCT
ijassa-1504	13	27	.	.	PUNCT
ijassa-1504	14	1	the	the	DET
ijassa-1504	14	2	contact	contact	NOUN
ijassa-1504	14	3	equivalence	equivalence	NOUN
ijassa-1504	14	4	of	of	ADP
ijassa-1504	14	5	equation	equation	NOUN
ijassa-1504	14	6	(	(	PUNCT
ijassa-1504	14	7	1.1	1.1	NUM
ijassa-1504	14	8	)	)	PUNCT
ijassa-1504	14	9	and	and	CCONJ
ijassa-1504	14	10	the	the	DET
ijassa-1504	14	11	euler	euler	NOUN
ijassa-1504	14	12	–	–	PUNCT
ijassa-1504	14	13	poisson	poisson	NOUN
ijassa-1504	14	14	equation	equation	NOUN
ijassa-1504	14	15	was	be	AUX
ijassa-1504	14	16	established	establish	VERB
ijassa-1504	14	17	for	for	ADP
ijassa-1504	14	18	g(ux	g(ux	NOUN
ijassa-1504	14	19	)	)	PUNCT
ijassa-1504	14	20	=	=	SYM
ijassa-1504	14	21	κu2x	κu2x	NOUN
ijassa-1504	14	22	in	in	ADP
ijassa-1504	14	23	[	[	X
ijassa-1504	14	24	4	4	NUM
ijassa-1504	14	25	]	]	PUNCT
ijassa-1504	14	26	.	.	PUNCT
ijassa-1504	15	1	calogero	calogero	PROPN
ijassa-1504	16	1	[	[	X
ijassa-1504	16	2	5	5	NUM
ijassa-1504	16	3	]	]	PUNCT
ijassa-1504	16	4	,	,	PUNCT
ijassa-1504	16	5	while	while	SCONJ
ijassa-1504	16	6	studying	study	VERB
ijassa-1504	16	7	waves	wave	NOUN
ijassa-1504	16	8	in	in	ADP
ijassa-1504	16	9	shallow	shallow	ADJ
ijassa-1504	16	10	water	water	NOUN
ijassa-1504	16	11	,	,	PUNCT
ijassa-1504	16	12	found	find	VERB
ijassa-1504	16	13	a	a	DET
ijassa-1504	16	14	complex	complex	ADJ
ijassa-1504	16	15	solution	solution	NOUN
ijassa-1504	16	16	of	of	ADP
ijassa-1504	16	17	equation	equation	NOUN
ijassa-1504	16	18	(	(	PUNCT
ijassa-1504	16	19	1.1	1.1	NUM
ijassa-1504	16	20	)	)	PUNCT
ijassa-1504	16	21	.	.	PUNCT
ijassa-1504	17	1	in	in	ADP
ijassa-1504	17	2	this	this	DET
ijassa-1504	17	3	article	article	NOUN
ijassa-1504	17	4	we	we	PRON
ijassa-1504	17	5	present	present	VERB
ijassa-1504	17	6	conditions	condition	NOUN
ijassa-1504	17	7	,	,	PUNCT
ijassa-1504	17	8	under	under	ADP
ijassa-1504	17	9	which	which	PRON
ijassa-1504	17	10	nonlinear	nonlinear	ADJ
ijassa-1504	17	11	equation	equation	NOUN
ijassa-1504	17	12	(	(	PUNCT
ijassa-1504	17	13	1.1	1.1	NUM
ijassa-1504	17	14	)	)	PUNCT
ijassa-1504	17	15	is	be	AUX
ijassa-1504	17	16	equivalent	equivalent	ADJ
ijassa-1504	17	17	to	to	ADP
ijassa-1504	17	18	a	a	DET
ijassa-1504	17	19	linear	linear	ADJ
ijassa-1504	17	20	equation	equation	NOUN
ijassa-1504	17	21	with	with	ADP
ijassa-1504	17	22	respect	respect	NOUN
ijassa-1504	17	23	to	to	ADP
ijassa-1504	17	24	a	a	DET
ijassa-1504	17	25	pseudo	pseudo	NOUN
ijassa-1504	17	26	-	-	NOUN
ijassa-1504	17	27	group	group	NOUN
ijassa-1504	17	28	of	of	ADP
ijassa-1504	17	29	contact	contact	NOUN
ijassa-1504	17	30	transformations	transformation	NOUN
ijassa-1504	17	31	.	.	PUNCT
ijassa-1504	18	1	this	this	PRON
ijassa-1504	18	2	allows	allow	VERB
ijassa-1504	18	3	us	we	PRON
ijassa-1504	18	4	to	to	PART
ijassa-1504	18	5	construct	construct	VERB
ijassa-1504	18	6	its	its	PRON
ijassa-1504	18	7	exact	exact	ADJ
ijassa-1504	18	8	multivalued	multivalued	ADJ
ijassa-1504	18	9	solutions	solution	NOUN
ijassa-1504	18	10	.	.	PUNCT
ijassa-1504	19	1	these	these	DET
ijassa-1504	19	2	solutions	solution	NOUN
ijassa-1504	19	3	can	can	AUX
ijassa-1504	19	4	be	be	AUX
ijassa-1504	19	5	used	use	VERB
ijassa-1504	19	6	to	to	PART
ijassa-1504	19	7	control	control	VERB
ijassa-1504	19	8	the	the	DET
ijassa-1504	19	9	propagation	propagation	NOUN
ijassa-1504	19	10	of	of	ADP
ijassa-1504	19	11	orientation	orientation	NOUN
ijassa-1504	19	12	waves	wave	NOUN
ijassa-1504	19	13	in	in	ADP
ijassa-1504	19	14	a	a	DET
ijassa-1504	19	15	nematic	nematic	ADJ
ijassa-1504	19	16	crystal	crystal	NOUN
ijassa-1504	19	17	.	.	PUNCT
ijassa-1504	20	1	this	this	DET
ijassa-1504	20	2	paper	paper	NOUN
ijassa-1504	20	3	continues	continue	VERB
ijassa-1504	20	4	the	the	DET
ijassa-1504	20	5	series	series	NOUN
ijassa-1504	20	6	of	of	ADP
ijassa-1504	20	7	articles	article	NOUN
ijassa-1504	20	8	[	[	X
ijassa-1504	20	9	6–9	6–9	X
ijassa-1504	20	10	]	]	PUNCT
ijassa-1504	20	11	on	on	ADP
ijassa-1504	20	12	the	the	DET
ijassa-1504	20	13	application	application	NOUN
ijassa-1504	20	14	of	of	ADP
ijassa-1504	20	15	geometric	geometric	ADJ
ijassa-1504	20	16	theory	theory	NOUN
ijassa-1504	20	17	of	of	ADP
ijassa-1504	20	18	nonlinear	nonlinear	ADJ
ijassa-1504	20	19	differential	differential	ADJ
ijassa-1504	20	20	equations	equation	NOUN
ijassa-1504	20	21	to	to	ADP
ijassa-1504	20	22	constructing	construct	VERB
ijassa-1504	20	23	their	their	PRON
ijassa-1504	20	24	exact	exact	ADJ
ijassa-1504	20	25	solutions	solution	NOUN
ijassa-1504	20	26	.	.	PUNCT
ijassa-1504	21	1	we	we	PRON
ijassa-1504	21	2	use	use	VERB
ijassa-1504	21	3	the	the	DET
ijassa-1504	21	4	methods	method	NOUN
ijassa-1504	21	5	developed	develop	VERB
ijassa-1504	21	6	in	in	ADP
ijassa-1504	21	7	[	[	X
ijassa-1504	21	8	10–12	10–12	NUM
ijassa-1504	21	9	]	]	PUNCT
ijassa-1504	21	10	.	.	PUNCT
ijassa-1504	22	1	∗corresponding	∗corresponde	VERB
ijassa-1504	22	2	author	author	NOUN
ijassa-1504	22	3	:	:	PUNCT
ijassa-1504	22	4	ssmukhina@edu.hse.ru	ssmukhina@edu.hse.ru	PROPN
ijassa-1504	22	5	2	2	NUM
ijassa-1504	22	6	s.	s.	PROPN
ijassa-1504	22	7	mukhina	mukhina	NOUN
ijassa-1504	22	8	2	2	NUM
ijassa-1504	22	9	.	.	PUNCT
ijassa-1504	22	10	geometry	geometry	NOUN
ijassa-1504	22	11	of	of	ADP
ijassa-1504	22	12	the	the	DET
ijassa-1504	22	13	generalized	generalized	ADJ
ijassa-1504	22	14	hunter	hunter	NOUN
ijassa-1504	22	15	–	–	PUNCT
ijassa-1504	22	16	saxton	saxton	PROPN
ijassa-1504	22	17	–	–	PUNCT
ijassa-1504	22	18	calogero	calogero	PROPN
ijassa-1504	22	19	equation	equation	NOUN
ijassa-1504	22	20	let	let	VERB
ijassa-1504	22	21	j1	j1	PROPN
ijassa-1504	22	22	be	be	AUX
ijassa-1504	22	23	the	the	DET
ijassa-1504	22	24	1	1	NUM
ijassa-1504	22	25	-	-	PUNCT
ijassa-1504	22	26	jet	jet	NOUN
ijassa-1504	22	27	space	space	NOUN
ijassa-1504	22	28	of	of	ADP
ijassa-1504	22	29	functions	function	NOUN
ijassa-1504	22	30	on	on	ADP
ijassa-1504	22	31	r2	r2	PROPN
ijassa-1504	22	32	with	with	ADP
ijassa-1504	22	33	two	two	NUM
ijassa-1504	22	34	independent	independent	ADJ
ijassa-1504	22	35	variables	variable	NOUN
ijassa-1504	22	36	t	t	PROPN
ijassa-1504	22	37	,	,	PUNCT
ijassa-1504	22	38	x	x	PUNCT
ijassa-1504	22	39	and	and	CCONJ
ijassa-1504	22	40	let	let	VERB
ijassa-1504	22	41	t	t	PROPN
ijassa-1504	22	42	,	,	PUNCT
ijassa-1504	22	43	x	x	X
ijassa-1504	22	44	,	,	PUNCT
ijassa-1504	22	45	u	u	NOUN
ijassa-1504	22	46	,	,	PUNCT
ijassa-1504	22	47	p1	p1	NOUN
ijassa-1504	22	48	,	,	PUNCT
ijassa-1504	22	49	p2	p2	PROPN
ijassa-1504	22	50	be	be	VERB
ijassa-1504	22	51	the	the	DET
ijassa-1504	22	52	canonical	canonical	ADJ
ijassa-1504	22	53	coordinates	coordinate	NOUN
ijassa-1504	22	54	on	on	ADP
ijassa-1504	22	55	this	this	DET
ijassa-1504	22	56	space	space	NOUN
ijassa-1504	22	57	.	.	PUNCT
ijassa-1504	23	1	the	the	DET
ijassa-1504	23	2	cartan	cartan	ADJ
ijassa-1504	23	3	form	form	NOUN
ijassa-1504	23	4	κ	κ	X
ijassa-1504	23	5	=	=	SYM
ijassa-1504	23	6	du−	du−	PROPN
ijassa-1504	23	7	p1dt−	p1dt−	NUM
ijassa-1504	23	8	p2dx	p2dx	NOUN
ijassa-1504	23	9	defines	define	VERB
ijassa-1504	23	10	a	a	DET
ijassa-1504	23	11	contact	contact	NOUN
ijassa-1504	23	12	structure	structure	NOUN
ijassa-1504	23	13	on	on	ADP
ijassa-1504	23	14	j1	j1	PROPN
ijassa-1504	23	15	(	(	PUNCT
ijassa-1504	23	16	the	the	DET
ijassa-1504	23	17	so	so	ADV
ijassa-1504	23	18	called	call	VERB
ijassa-1504	23	19	cartan	cartan	ADJ
ijassa-1504	23	20	distribution	distribution	NOUN
ijassa-1504	23	21	)	)	PUNCT
ijassa-1504	24	1	c	c	NOUN
ijassa-1504	24	2	:	:	PUNCT
ijassa-1504	25	1	j1	j1	PROPN
ijassa-1504	25	2	∋	∋	NOUN
ijassa-1504	25	3	θ	θ	PROPN
ijassa-1504	25	4	7→	7→	PROPN
ijassa-1504	25	5	c(θ	c(θ	PROPN
ijassa-1504	25	6	)	)	PUNCT
ijassa-1504	26	1	=	=	PUNCT
ijassa-1504	26	2	kerκθ	kerκθ	VERB
ijassa-1504	26	3	⊂	⊂	ADJ
ijassa-1504	26	4	tθj	tθj	PROPN
ijassa-1504	26	5	1	1	NUM
ijassa-1504	26	6	.	.	PUNCT
ijassa-1504	27	1	the	the	DET
ijassa-1504	27	2	cartan	cartan	ADJ
ijassa-1504	27	3	distribution	distribution	NOUN
ijassa-1504	27	4	c	c	NOUN
ijassa-1504	27	5	is	be	AUX
ijassa-1504	27	6	generated	generate	VERB
ijassa-1504	27	7	by	by	ADP
ijassa-1504	27	8	the	the	DET
ijassa-1504	27	9	vector	vector	NOUN
ijassa-1504	27	10	fields	field	NOUN
ijassa-1504	27	11	∂	∂	NOUN
ijassa-1504	28	1	∂t	∂t	PROPN
ijassa-1504	28	2	+	+	PROPN
ijassa-1504	28	3	p1	p1	PROPN
ijassa-1504	28	4	∂	∂	NOUN
ijassa-1504	28	5	∂u	∂u	PROPN
ijassa-1504	28	6	,	,	PUNCT
ijassa-1504	28	7	∂	∂	NUM
ijassa-1504	28	8	∂x	∂x	PROPN
ijassa-1504	28	9	+	+	CCONJ
ijassa-1504	28	10	p2	p2	PROPN
ijassa-1504	28	11	∂	∂	NOUN
ijassa-1504	28	12	∂u	∂u	PROPN
ijassa-1504	28	13	,	,	PUNCT
ijassa-1504	28	14	∂	∂	NUM
ijassa-1504	28	15	∂p1	∂p1	NOUN
ijassa-1504	28	16	,	,	PUNCT
ijassa-1504	28	17	∂	∂	NUM
ijassa-1504	28	18	∂p2	∂p2	PROPN
ijassa-1504	28	19	.	.	PUNCT
ijassa-1504	29	1	(	(	PUNCT
ijassa-1504	29	2	2.2	2.2	NUM
ijassa-1504	29	3	)	)	PUNCT
ijassa-1504	29	4	a	a	DET
ijassa-1504	29	5	two	two	NUM
ijassa-1504	29	6	-	-	PUNCT
ijassa-1504	29	7	dimensional	dimensional	ADJ
ijassa-1504	29	8	surface	surface	NOUN
ijassa-1504	29	9	γ1	γ1	NOUN
ijassa-1504	29	10	v	v	ADP
ijassa-1504	29	11	=	=	PUNCT
ijassa-1504	29	12	{	{	PUNCT
ijassa-1504	29	13	u	u	NOUN
ijassa-1504	29	14	=	=	SYM
ijassa-1504	29	15	v(t	v(t	X
ijassa-1504	29	16	,	,	PUNCT
ijassa-1504	29	17	x	x	NOUN
ijassa-1504	29	18	)	)	PUNCT
ijassa-1504	29	19	,	,	PUNCT
ijassa-1504	29	20	p1	p1	PROPN
ijassa-1504	29	21	=	=	SYM
ijassa-1504	29	22	∂v	∂v	PROPN
ijassa-1504	29	23	∂t	∂t	PROPN
ijassa-1504	29	24	,	,	PUNCT
ijassa-1504	29	25	p2	p2	PROPN
ijassa-1504	29	26	=	=	SYM
ijassa-1504	29	27	∂v	∂v	PROPN
ijassa-1504	29	28	∂x	∂x	PROPN
ijassa-1504	29	29	}	}	PUNCT
ijassa-1504	30	1	⊂	⊂	PROPN
ijassa-1504	30	2	j1	j1	PROPN
ijassa-1504	30	3	is	be	AUX
ijassa-1504	30	4	called	call	VERB
ijassa-1504	30	5	a	a	DET
ijassa-1504	30	6	1	1	NUM
ijassa-1504	30	7	-	-	PUNCT
ijassa-1504	30	8	graph	graph	NOUN
ijassa-1504	30	9	of	of	ADP
ijassa-1504	30	10	a	a	DET
ijassa-1504	30	11	function	function	NOUN
ijassa-1504	30	12	v(t	v(t	NOUN
ijassa-1504	30	13	,	,	PUNCT
ijassa-1504	30	14	x	x	NOUN
ijassa-1504	30	15	)	)	PUNCT
ijassa-1504	30	16	.	.	PUNCT
ijassa-1504	31	1	let	let	AUX
ijassa-1504	31	2	ω2(r2	ω2(r2	NOUN
ijassa-1504	31	3	)	)	PUNCT
ijassa-1504	31	4	be	be	AUX
ijassa-1504	31	5	the	the	DET
ijassa-1504	31	6	module	module	NOUN
ijassa-1504	31	7	of	of	ADP
ijassa-1504	31	8	differential	differential	ADJ
ijassa-1504	31	9	2	2	NUM
ijassa-1504	31	10	-	-	PUNCT
ijassa-1504	31	11	forms	form	NOUN
ijassa-1504	31	12	on	on	ADP
ijassa-1504	31	13	r2	r2	PROPN
ijassa-1504	31	14	.	.	PUNCT
ijassa-1504	32	1	for	for	ADP
ijassa-1504	32	2	an	an	DET
ijassa-1504	32	3	arbitrary	arbitrary	ADJ
ijassa-1504	32	4	differential	differential	NOUN
ijassa-1504	32	5	2form	2form	PROPN
ijassa-1504	32	6	ω	ω	NOUN
ijassa-1504	32	7	on	on	ADP
ijassa-1504	32	8	j1	j1	PROPN
ijassa-1504	32	9	,	,	PUNCT
ijassa-1504	32	10	we	we	PRON
ijassa-1504	32	11	can	can	AUX
ijassa-1504	32	12	construct	construct	VERB
ijassa-1504	32	13	the	the	DET
ijassa-1504	32	14	lychagin	lychagin	NOUN
ijassa-1504	32	15	differential	differential	NOUN
ijassa-1504	32	16	operator	operator	NOUN
ijassa-1504	32	17	∆ω	∆ω	PROPN
ijassa-1504	32	18	,	,	PUNCT
ijassa-1504	32	19	which	which	PRON
ijassa-1504	32	20	acts	act	VERB
ijassa-1504	32	21	by	by	ADP
ijassa-1504	32	22	the	the	DET
ijassa-1504	32	23	following	follow	VERB
ijassa-1504	32	24	rule	rule	NOUN
ijassa-1504	32	25	(	(	PUNCT
ijassa-1504	32	26	see	see	VERB
ijassa-1504	32	27	[	[	X
ijassa-1504	32	28	13	13	NUM
ijassa-1504	32	29	]	]	SYM
ijassa-1504	32	30	):	):	PUNCT
ijassa-1504	32	31	∆ω	∆ω	ADJ
ijassa-1504	32	32	:	:	PUNCT
ijassa-1504	32	33	c∞(r2	c∞(r2	NOUN
ijassa-1504	32	34	)	)	PUNCT
ijassa-1504	32	35	→	→	SYM
ijassa-1504	32	36	ω2(r2	ω2(r2	NOUN
ijassa-1504	32	37	)	)	PUNCT
ijassa-1504	32	38	,	,	PUNCT
ijassa-1504	32	39	∆ω(v	∆ω(v	PROPN
ijassa-1504	32	40	)	)	PUNCT
ijassa-1504	32	41	=	=	PUNCT
ijassa-1504	33	1	ω|γ1	ω|γ1	NUM
ijassa-1504	33	2	v	v	NUM
ijassa-1504	33	3	.	.	PUNCT
ijassa-1504	34	1	here	here	ADV
ijassa-1504	34	2	ω|γ1	ω|γ1	VERB
ijassa-1504	34	3	u	u	NOUN
ijassa-1504	34	4	is	be	AUX
ijassa-1504	34	5	a	a	DET
ijassa-1504	34	6	restriction	restriction	NOUN
ijassa-1504	34	7	of	of	ADP
ijassa-1504	34	8	ω	ω	NUM
ijassa-1504	34	9	to	to	ADP
ijassa-1504	34	10	γ1	γ1	PROPN
ijassa-1504	34	11	v.	v.	ADP
ijassa-1504	34	12	the	the	DET
ijassa-1504	34	13	equation	equation	NOUN
ijassa-1504	34	14	∆ω(v	∆ω(v	PROPN
ijassa-1504	34	15	)	)	PUNCT
ijassa-1504	34	16	=	=	SYM
ijassa-1504	34	17	0	0	NUM
ijassa-1504	34	18	(	(	PUNCT
ijassa-1504	34	19	2.3	2.3	NUM
ijassa-1504	34	20	)	)	PUNCT
ijassa-1504	34	21	is	be	AUX
ijassa-1504	34	22	a	a	DET
ijassa-1504	34	23	second	second	ADJ
ijassa-1504	34	24	-	-	PUNCT
ijassa-1504	34	25	order	order	NOUN
ijassa-1504	34	26	differential	differential	ADJ
ijassa-1504	34	27	equation	equation	NOUN
ijassa-1504	34	28	of	of	ADP
ijassa-1504	34	29	the	the	DET
ijassa-1504	34	30	monge	monge	ADJ
ijassa-1504	34	31	–	–	PUNCT
ijassa-1504	34	32	ampere	ampere	NOUN
ijassa-1504	34	33	class	class	NOUN
ijassa-1504	34	34	.	.	PUNCT
ijassa-1504	35	1	the	the	DET
ijassa-1504	35	2	restriction	restriction	NOUN
ijassa-1504	35	3	of	of	ADP
ijassa-1504	35	4	ω	ω	NUM
ijassa-1504	35	5	to	to	ADP
ijassa-1504	35	6	the	the	DET
ijassa-1504	35	7	surface	surface	NOUN
ijassa-1504	35	8	γ1	γ1	PROPN
ijassa-1504	35	9	v	v	NOUN
ijassa-1504	35	10	vanishes	vanish	VERB
ijassa-1504	35	11	if	if	SCONJ
ijassa-1504	36	1	and	and	CCONJ
ijassa-1504	36	2	only	only	ADV
ijassa-1504	36	3	if	if	SCONJ
ijassa-1504	36	4	the	the	DET
ijassa-1504	36	5	function	function	NOUN
ijassa-1504	36	6	v	v	NOUN
ijassa-1504	36	7	is	be	AUX
ijassa-1504	36	8	a	a	DET
ijassa-1504	36	9	solution	solution	NOUN
ijassa-1504	36	10	of	of	ADP
ijassa-1504	36	11	equation	equation	NOUN
ijassa-1504	36	12	(	(	PUNCT
ijassa-1504	36	13	2.3	2.3	NUM
ijassa-1504	36	14	)	)	PUNCT
ijassa-1504	36	15	.	.	PUNCT
ijassa-1504	37	1	a	a	DET
ijassa-1504	37	2	surface	surface	NOUN
ijassa-1504	37	3	l	l	NOUN
ijassa-1504	37	4	⊂	⊂	PROPN
ijassa-1504	37	5	j1r2	j1r2	X
ijassa-1504	37	6	is	be	AUX
ijassa-1504	37	7	called	call	VERB
ijassa-1504	37	8	a	a	DET
ijassa-1504	37	9	multivalued	multivalue	VERB
ijassa-1504	37	10	solution	solution	NOUN
ijassa-1504	37	11	of	of	ADP
ijassa-1504	37	12	equation	equation	NOUN
ijassa-1504	37	13	(	(	PUNCT
ijassa-1504	37	14	2.3	2.3	NUM
ijassa-1504	37	15	)	)	PUNCT
ijassa-1504	37	16	if	if	SCONJ
ijassa-1504	37	17	ω|l	ω|l	VERB
ijassa-1504	38	1	=	=	SYM
ijassa-1504	38	2	0	0	NUM
ijassa-1504	39	1	and	and	CCONJ
ijassa-1504	39	2	κ|l	κ|l	VERB
ijassa-1504	39	3	=	=	SYM
ijassa-1504	39	4	0	0	X
ijassa-1504	39	5	.	.	PUNCT
ijassa-1504	40	1	equation	equation	NOUN
ijassa-1504	40	2	(	(	PUNCT
ijassa-1504	40	3	1.1	1.1	NUM
ijassa-1504	40	4	)	)	PUNCT
ijassa-1504	40	5	belongs	belong	VERB
ijassa-1504	40	6	to	to	ADP
ijassa-1504	40	7	the	the	DET
ijassa-1504	40	8	class	class	NOUN
ijassa-1504	40	9	of	of	ADP
ijassa-1504	40	10	monge	monge	PROPN
ijassa-1504	40	11	–	–	PUNCT
ijassa-1504	40	12	ampere	ampere	NOUN
ijassa-1504	40	13	equations	equation	NOUN
ijassa-1504	40	14	and	and	CCONJ
ijassa-1504	40	15	,	,	PUNCT
ijassa-1504	40	16	therefore	therefore	ADV
ijassa-1504	40	17	,	,	PUNCT
ijassa-1504	40	18	it	it	PRON
ijassa-1504	40	19	can	can	AUX
ijassa-1504	40	20	be	be	AUX
ijassa-1504	40	21	associated	associate	VERB
ijassa-1504	40	22	with	with	ADP
ijassa-1504	40	23	the	the	DET
ijassa-1504	40	24	differential	differential	ADJ
ijassa-1504	40	25	2	2	NUM
ijassa-1504	40	26	-	-	PUNCT
ijassa-1504	40	27	form	form	NOUN
ijassa-1504	40	28	ω	ω	NOUN
ijassa-1504	40	29	=	=	SYM
ijassa-1504	40	30	−2g(p2)dt	−2g(p2)dt	PROPN
ijassa-1504	40	31	∧	∧	PROPN
ijassa-1504	40	32	dx+	dx+	NOUN
ijassa-1504	40	33	dt	dt	PROPN
ijassa-1504	41	1	∧	∧	PROPN
ijassa-1504	41	2	dp1	dp1	PROPN
ijassa-1504	41	3	−	−	PROPN
ijassa-1504	41	4	dx	dx	PROPN
ijassa-1504	41	5	∧	∧	PROPN
ijassa-1504	41	6	dp2	dp2	NOUN
ijassa-1504	41	7	−	−	PROPN
ijassa-1504	41	8	2udt	2udt	NUM
ijassa-1504	41	9	∧	∧	PROPN
ijassa-1504	41	10	dp2	dp2	PROPN
ijassa-1504	41	11	.	.	PUNCT
ijassa-1504	42	1	(	(	PUNCT
ijassa-1504	42	2	2.4	2.4	NUM
ijassa-1504	42	3	)	)	PUNCT
ijassa-1504	42	4	let	let	VERB
ijassa-1504	42	5	us	we	PRON
ijassa-1504	42	6	introduce	introduce	VERB
ijassa-1504	42	7	a	a	DET
ijassa-1504	42	8	“	"	PUNCT
ijassa-1504	42	9	non	non	ADJ
ijassa-1504	42	10	-	-	ADJ
ijassa-1504	42	11	holonomic	holonomic	ADJ
ijassa-1504	42	12	symplectic	symplectic	ADJ
ijassa-1504	42	13	structure	structure	NOUN
ijassa-1504	42	14	”	"	PUNCT
ijassa-1504	42	15	ω	ω	PROPN
ijassa-1504	42	16	∈	∈	PROPN
ijassa-1504	42	17	ω2(c	ω2(c	NOUN
ijassa-1504	42	18	):	):	PUNCT
ijassa-1504	42	19	ω	ω	PROPN
ijassa-1504	42	20	=	=	SYM
ijassa-1504	42	21	dκ|c	dκ|c	NOUN
ijassa-1504	42	22	since	since	SCONJ
ijassa-1504	42	23	the	the	DET
ijassa-1504	42	24	cartan	cartan	ADJ
ijassa-1504	42	25	distribution	distribution	NOUN
ijassa-1504	42	26	is	be	AUX
ijassa-1504	42	27	not	not	PART
ijassa-1504	42	28	completely	completely	ADV
ijassa-1504	42	29	integrable	integrable	ADJ
ijassa-1504	42	30	,	,	PUNCT
ijassa-1504	42	31	this	this	DET
ijassa-1504	42	32	2	2	NUM
ijassa-1504	42	33	-	-	PUNCT
ijassa-1504	42	34	form	form	NOUN
ijassa-1504	42	35	is	be	AUX
ijassa-1504	42	36	defined	define	VERB
ijassa-1504	42	37	on	on	ADP
ijassa-1504	42	38	vector	vector	NOUN
ijassa-1504	42	39	fields	field	NOUN
ijassa-1504	42	40	that	that	PRON
ijassa-1504	42	41	belong	belong	VERB
ijassa-1504	42	42	to	to	ADP
ijassa-1504	42	43	c	c	PROPN
ijassa-1504	42	44	only	only	ADV
ijassa-1504	42	45	.	.	PUNCT
ijassa-1504	43	1	differential	differential	ADJ
ijassa-1504	43	2	form	form	NOUN
ijassa-1504	43	3	(	(	PUNCT
ijassa-1504	43	4	2.4	2.4	NUM
ijassa-1504	43	5	)	)	PUNCT
ijassa-1504	43	6	is	be	AUX
ijassa-1504	43	7	effective	effective	ADJ
ijassa-1504	43	8	,	,	PUNCT
ijassa-1504	43	9	i.e.	i.e.	X
ijassa-1504	43	10	,	,	PUNCT
ijassa-1504	43	11	∂u⌋ω	∂u⌋ω	ADJ
ijassa-1504	43	12	=	=	SYM
ijassa-1504	43	13	0	0	NUM
ijassa-1504	43	14	and	and	CCONJ
ijassa-1504	43	15	ω	ω	NUM
ijassa-1504	43	16	∧	∧	PROPN
ijassa-1504	43	17	ω	ω	PROPN
ijassa-1504	43	18	=	=	SYM
ijassa-1504	43	19	0	0	NUM
ijassa-1504	43	20	.	.	PUNCT
ijassa-1504	44	1	moreover	moreover	ADV
ijassa-1504	44	2	,	,	PUNCT
ijassa-1504	44	3	it	it	PRON
ijassa-1504	44	4	is	be	AUX
ijassa-1504	44	5	hyperbolic	hyperbolic	ADJ
ijassa-1504	44	6	:	:	PUNCT
ijassa-1504	44	7	ω	ω	NUM
ijassa-1504	44	8	∧	∧	PROPN
ijassa-1504	44	9	ω	ω	PROPN
ijassa-1504	44	10	+	+	PROPN
ijassa-1504	44	11	ω	ω	NUM
ijassa-1504	44	12	∧	∧	PROPN
ijassa-1504	44	13	ω	ω	PROPN
ijassa-1504	44	14	=	=	SYM
ijassa-1504	44	15	0	0	PROPN
ijassa-1504	44	16	.	.	PUNCT
ijassa-1504	45	1	(	(	PUNCT
ijassa-1504	45	2	2.5	2.5	NUM
ijassa-1504	45	3	)	)	PUNCT
ijassa-1504	45	4	define	define	VERB
ijassa-1504	45	5	the	the	DET
ijassa-1504	45	6	linear	linear	ADJ
ijassa-1504	45	7	operator	operator	NOUN
ijassa-1504	45	8	aω	aω	X
ijassa-1504	45	9	:	:	PUNCT
ijassa-1504	45	10	d(c	d(c	PROPN
ijassa-1504	45	11	)	)	PUNCT
ijassa-1504	46	1	→	→	SYM
ijassa-1504	46	2	d(c	d(c	PROPN
ijassa-1504	46	3	)	)	PUNCT
ijassa-1504	47	1	as	as	SCONJ
ijassa-1504	47	2	follows	follow	VERB
ijassa-1504	47	3	:	:	PUNCT
ijassa-1504	47	4	aωx⌋ω	aωx⌋ω	VERB
ijassa-1504	47	5	=	=	PUNCT
ijassa-1504	47	6	x	x	PUNCT
ijassa-1504	47	7	⌋ω	⌋ω	PROPN
ijassa-1504	47	8	,	,	PUNCT
ijassa-1504	47	9	copyright	copyright	NOUN
ijassa-1504	47	10	©	©	PROPN
ijassa-1504	47	11	2023	2023	NUM
ijassa-1504	47	12	assa	assa	NOUN
ijassa-1504	47	13	.	.	PUNCT
ijassa-1504	48	1	adv	adv	PROPN
ijassa-1504	48	2	syst	syst	PROPN
ijassa-1504	48	3	sci	sci	PROPN
ijassa-1504	48	4	appl	appl	PROPN
ijassa-1504	48	5	(	(	PUNCT
ijassa-1504	48	6	2023	2023	NUM
ijassa-1504	48	7	)	)	PUNCT
ijassa-1504	48	8	an	an	DET
ijassa-1504	48	9	exact	exact	ADJ
ijassa-1504	48	10	solution	solution	NOUN
ijassa-1504	48	11	of	of	ADP
ijassa-1504	48	12	the	the	DET
ijassa-1504	48	13	hunter	hunter	NOUN
ijassa-1504	48	14	–	–	PUNCT
ijassa-1504	48	15	saxton	saxton	PROPN
ijassa-1504	48	16	–	–	PUNCT
ijassa-1504	48	17	calogero	calogero	PROPN
ijassa-1504	48	18	equation	equation	NOUN
ijassa-1504	48	19	3	3	NUM
ijassa-1504	48	20	where	where	SCONJ
ijassa-1504	48	21	d(c	d(c	PROPN
ijassa-1504	48	22	)	)	PUNCT
ijassa-1504	48	23	is	be	AUX
ijassa-1504	48	24	a	a	DET
ijassa-1504	48	25	module	module	NOUN
ijassa-1504	48	26	of	of	ADP
ijassa-1504	48	27	vector	vector	NOUN
ijassa-1504	48	28	fields	field	NOUN
ijassa-1504	48	29	that	that	PRON
ijassa-1504	48	30	belong	belong	VERB
ijassa-1504	48	31	to	to	ADP
ijassa-1504	48	32	the	the	DET
ijassa-1504	48	33	cartan	cartan	ADJ
ijassa-1504	48	34	distribution	distribution	NOUN
ijassa-1504	48	35	c.	c.	NOUN
ijassa-1504	48	36	the	the	DET
ijassa-1504	48	37	operator	operator	NOUN
ijassa-1504	48	38	aω	aω	VERB
ijassa-1504	48	39	has	have	VERB
ijassa-1504	48	40	the	the	DET
ijassa-1504	48	41	following	follow	VERB
ijassa-1504	48	42	matrix	matrix	NOUN
ijassa-1504	48	43	representation	representation	NOUN
ijassa-1504	48	44	in	in	ADP
ijassa-1504	48	45	basis	basis	NOUN
ijassa-1504	48	46	(	(	PUNCT
ijassa-1504	48	47	2.2	2.2	NUM
ijassa-1504	48	48	):	):	PUNCT
ijassa-1504	48	49	aω	aω	PROPN
ijassa-1504	48	50	=	=	PUNCT
ijassa-1504	48	51			VERB
ijassa-1504	48	52	1	1	NUM
ijassa-1504	48	53	0	0	NUM
ijassa-1504	48	54	0	0	NUM
ijassa-1504	48	55	0	0	NUM
ijassa-1504	49	1	−2u	−2u	PROPN
ijassa-1504	49	2	−1	−1	NOUN
ijassa-1504	49	3	0	0	NUM
ijassa-1504	49	4	0	0	NUM
ijassa-1504	49	5	0	0	NUM
ijassa-1504	49	6	−2g(p2	−2g(p2	NOUN
ijassa-1504	49	7	)	)	PUNCT
ijassa-1504	49	8	1	1	NUM
ijassa-1504	49	9	2u	2u	NOUN
ijassa-1504	49	10	2g(p2	2g(p2	NUM
ijassa-1504	49	11	)	)	PUNCT
ijassa-1504	49	12	0	0	NUM
ijassa-1504	49	13	0	0	NUM
ijassa-1504	49	14	−1	−1	NOUN
ijassa-1504	49	15			PROPN
ijassa-1504	49	16	.	.	PUNCT
ijassa-1504	50	1	its	its	PRON
ijassa-1504	50	2	square	square	NOUN
ijassa-1504	50	3	is	be	AUX
ijassa-1504	50	4	scalar	scalar	ADJ
ijassa-1504	50	5	:	:	PUNCT
ijassa-1504	50	6	a2	a2	PROPN
ijassa-1504	50	7	ω	ω	PROPN
ijassa-1504	50	8	=	=	SYM
ijassa-1504	50	9	1	1	NUM
ijassa-1504	50	10	,	,	PUNCT
ijassa-1504	50	11	therefore	therefore	ADV
ijassa-1504	50	12	,	,	PUNCT
ijassa-1504	50	13	its	its	PRON
ijassa-1504	50	14	eigenvalues	eigenvalue	NOUN
ijassa-1504	50	15	are	be	AUX
ijassa-1504	50	16	±1	±1	VERB
ijassa-1504	50	17	.	.	PUNCT
ijassa-1504	51	1	the	the	DET
ijassa-1504	51	2	eigenvectors	eigenvector	NOUN
ijassa-1504	51	3	define	define	VERB
ijassa-1504	51	4	two	two	NUM
ijassa-1504	51	5	2	2	NUM
ijassa-1504	51	6	-	-	PUNCT
ijassa-1504	51	7	dimensional	dimensional	ADJ
ijassa-1504	51	8	characteristic	characteristic	ADJ
ijassa-1504	51	9	distributions	distribution	NOUN
ijassa-1504	51	10	c+	c+	VERB
ijassa-1504	51	11	=	=	PUNCT
ijassa-1504	51	12	{	{	PUNCT
ijassa-1504	51	13	x+	x+	PROPN
ijassa-1504	51	14	=	=	SYM
ijassa-1504	51	15	∂	∂	NOUN
ijassa-1504	51	16	∂t	∂t	PROPN
ijassa-1504	51	17	−	−	PROPN
ijassa-1504	51	18	u	u	NOUN
ijassa-1504	51	19	∂	∂	NOUN
ijassa-1504	52	1	∂x	∂x	PROPN
ijassa-1504	53	1	+	+	CCONJ
ijassa-1504	54	1	(	(	PUNCT
ijassa-1504	54	2	−p2u+	−p2u+	NOUN
ijassa-1504	54	3	p1	p1	NOUN
ijassa-1504	54	4	)	)	PUNCT
ijassa-1504	54	5	∂	∂	NOUN
ijassa-1504	54	6	∂u	∂u	PROPN
ijassa-1504	54	7	+	+	ADJ
ijassa-1504	54	8	g(p2	g(p2	ADJ
ijassa-1504	54	9	)	)	PUNCT
ijassa-1504	54	10	∂	∂	NOUN
ijassa-1504	55	1	∂p2	∂p2	PROPN
ijassa-1504	55	2	,	,	PUNCT
ijassa-1504	55	3	y+	y+	NUM
ijassa-1504	55	4	=	=	SYM
ijassa-1504	55	5	g(p2	g(p2	ADJ
ijassa-1504	55	6	)	)	PUNCT
ijassa-1504	55	7	∂	∂	NOUN
ijassa-1504	55	8	∂p1	∂p1	NOUN
ijassa-1504	55	9	}	}	PUNCT
ijassa-1504	55	10	,	,	PUNCT
ijassa-1504	55	11	c−	c−	NOUN
ijassa-1504	55	12	=	=	SYM
ijassa-1504	55	13	{	{	PUNCT
ijassa-1504	55	14	x−	x−	PROPN
ijassa-1504	55	15	=	=	SYM
ijassa-1504	55	16	−u	−u	PROPN
ijassa-1504	55	17	∂	∂	NUM
ijassa-1504	55	18	∂x	∂x	PROPN
ijassa-1504	55	19	−	−	PROPN
ijassa-1504	55	20	up2	up2	PROPN
ijassa-1504	55	21	∂	∂	NOUN
ijassa-1504	55	22	∂u	∂u	PROPN
ijassa-1504	55	23	+	+	ADJ
ijassa-1504	55	24	g(p2	g(p2	ADJ
ijassa-1504	55	25	)	)	PUNCT
ijassa-1504	55	26	∂	∂	NUM
ijassa-1504	56	1	∂p2	∂p2	PROPN
ijassa-1504	56	2	,	,	PUNCT
ijassa-1504	56	3	y−	y−	X
ijassa-1504	56	4	=	=	SYM
ijassa-1504	56	5	∂	∂	NUM
ijassa-1504	56	6	∂x	∂x	PROPN
ijassa-1504	56	7	+	+	CCONJ
ijassa-1504	56	8	p2	p2	PROPN
ijassa-1504	56	9	∂	∂	NOUN
ijassa-1504	56	10	∂u	∂u	NOUN
ijassa-1504	56	11	+	+	ADJ
ijassa-1504	56	12	g(p2	g(p2	ADJ
ijassa-1504	56	13	)	)	PUNCT
ijassa-1504	56	14	∂	∂	NOUN
ijassa-1504	56	15	∂p1	∂p1	NOUN
ijassa-1504	56	16	}	}	PUNCT
ijassa-1504	56	17	.	.	PUNCT
ijassa-1504	57	1	the	the	DET
ijassa-1504	57	2	vector	vector	PROPN
ijassa-1504	57	3	fields	field	VERB
ijassa-1504	57	4	x±	x±	PROPN
ijassa-1504	57	5	,	,	PUNCT
ijassa-1504	57	6	y±	y±	PROPN
ijassa-1504	57	7	form	form	VERB
ijassa-1504	57	8	a	a	DET
ijassa-1504	57	9	basis	basis	NOUN
ijassa-1504	57	10	of	of	ADP
ijassa-1504	57	11	the	the	DET
ijassa-1504	57	12	module	module	NOUN
ijassa-1504	57	13	d(c±	d(c±	NOUN
ijassa-1504	57	14	)	)	PUNCT
ijassa-1504	57	15	.	.	PUNCT
ijassa-1504	58	1	the	the	DET
ijassa-1504	58	2	first	first	ADJ
ijassa-1504	58	3	derivatives	derivative	NOUN
ijassa-1504	58	4	of	of	ADP
ijassa-1504	58	5	distributions	distribution	NOUN
ijassa-1504	58	6	c	c	NOUN
ijassa-1504	58	7	(	(	PUNCT
ijassa-1504	58	8	1	1	X
ijassa-1504	58	9	)	)	PUNCT
ijassa-1504	58	10	±	±	NOUN
ijassa-1504	58	11	=	=	SYM
ijassa-1504	58	12	{	{	PUNCT
ijassa-1504	58	13	x±	x±	PROPN
ijassa-1504	58	14	,	,	PUNCT
ijassa-1504	58	15	y±	y±	PROPN
ijassa-1504	58	16	,	,	PUNCT
ijassa-1504	59	1	[	[	X
ijassa-1504	59	2	x±	x±	PROPN
ijassa-1504	59	3	,	,	PUNCT
ijassa-1504	59	4	y±	y±	PROPN
ijassa-1504	59	5	]	]	PUNCT
ijassa-1504	59	6	}	}	PUNCT
ijassa-1504	59	7	are	be	AUX
ijassa-1504	59	8	3	3	NUM
ijassa-1504	59	9	-	-	PUNCT
ijassa-1504	59	10	dimensional	dimensional	ADJ
ijassa-1504	59	11	.	.	PUNCT
ijassa-1504	60	1	therefore	therefore	ADV
ijassa-1504	60	2	,	,	PUNCT
ijassa-1504	60	3	in	in	ADP
ijassa-1504	60	4	the	the	DET
ijassa-1504	60	5	5	5	NUM
ijassa-1504	60	6	-	-	PUNCT
ijassa-1504	60	7	dimensional	dimensional	ADJ
ijassa-1504	60	8	space	space	NOUN
ijassa-1504	60	9	j1	j1	NOUN
ijassa-1504	60	10	,	,	PUNCT
ijassa-1504	60	11	they	they	PRON
ijassa-1504	60	12	intersect	intersect	VERB
ijassa-1504	60	13	along	along	ADP
ijassa-1504	60	14	a	a	DET
ijassa-1504	60	15	1dimensional	1dimensional	NUM
ijassa-1504	60	16	distribution	distribution	NOUN
ijassa-1504	60	17	l	l	NOUN
ijassa-1504	60	18	=	=	SYM
ijassa-1504	60	19	c	c	X
ijassa-1504	60	20	(	(	PUNCT
ijassa-1504	60	21	1	1	NUM
ijassa-1504	60	22	)	)	PUNCT
ijassa-1504	60	23	+	+	NOUN
ijassa-1504	60	24	∩	∩	ADJ
ijassa-1504	60	25	c(1	c(1	NOUN
ijassa-1504	60	26	)	)	PUNCT
ijassa-1504	60	27	−	−	PROPN
ijassa-1504	60	28	,	,	PUNCT
ijassa-1504	60	29	which	which	PRON
ijassa-1504	60	30	is	be	AUX
ijassa-1504	60	31	generated	generate	VERB
ijassa-1504	60	32	by	by	ADP
ijassa-1504	60	33	the	the	DET
ijassa-1504	60	34	vector	vector	NOUN
ijassa-1504	60	35	field	field	NOUN
ijassa-1504	61	1	z	z	PROPN
ijassa-1504	61	2	=	=	SYM
ijassa-1504	61	3	g	g	PROPN
ijassa-1504	61	4	(	(	PUNCT
ijassa-1504	61	5	p2	p2	PROPN
ijassa-1504	61	6	)	)	PUNCT
ijassa-1504	61	7	∂	∂	NOUN
ijassa-1504	61	8	∂u	∂u	NOUN
ijassa-1504	62	1	+	+	ADJ
ijassa-1504	62	2	g(p2	g(p2	NOUN
ijassa-1504	62	3	)	)	PUNCT
ijassa-1504	62	4	(	(	PUNCT
ijassa-1504	62	5	g	g	PROPN
ijassa-1504	62	6	′′	′′	PROPN
ijassa-1504	62	7	(	(	PUNCT
ijassa-1504	62	8	p2)−	p2)−	ADJ
ijassa-1504	62	9	p2	p2	NOUN
ijassa-1504	62	10	)	)	PUNCT
ijassa-1504	62	11	∂	∂	NUM
ijassa-1504	62	12	∂p1	∂p1	NOUN
ijassa-1504	62	13	.	.	PUNCT
ijassa-1504	63	1	at	at	ADP
ijassa-1504	63	2	any	any	DET
ijassa-1504	63	3	point	point	NOUN
ijassa-1504	63	4	a	a	DET
ijassa-1504	63	5	∈	∈	PROPN
ijassa-1504	63	6	j1	j1	NOUN
ijassa-1504	63	7	,	,	PUNCT
ijassa-1504	63	8	the	the	DET
ijassa-1504	63	9	tangent	tangent	NOUN
ijassa-1504	63	10	space	space	NOUN
ijassa-1504	63	11	taj1	taj1	PROPN
ijassa-1504	63	12	can	can	AUX
ijassa-1504	63	13	be	be	AUX
ijassa-1504	63	14	decomposed	decompose	VERB
ijassa-1504	63	15	into	into	ADP
ijassa-1504	63	16	a	a	DET
ijassa-1504	63	17	direct	direct	ADJ
ijassa-1504	63	18	sum	sum	NOUN
ijassa-1504	63	19	taj	taj	PROPN
ijassa-1504	63	20	1	1	NUM
ijassa-1504	63	21	=	=	SYM
ijassa-1504	63	22	c+(a)⊕	c+(a)⊕	PROPN
ijassa-1504	63	23	l(a)⊕	l(a)⊕	NOUN
ijassa-1504	63	24	c−(a	c−(a	NOUN
ijassa-1504	63	25	)	)	PUNCT
ijassa-1504	63	26	.	.	PUNCT
ijassa-1504	64	1	denote	denote	VERB
ijassa-1504	64	2	the	the	DET
ijassa-1504	64	3	distributions	distribution	NOUN
ijassa-1504	64	4	c+	c+	VERB
ijassa-1504	64	5	,	,	PUNCT
ijassa-1504	64	6	l	l	NOUN
ijassa-1504	64	7	,	,	PUNCT
ijassa-1504	64	8	and	and	CCONJ
ijassa-1504	64	9	c−	c−	NOUN
ijassa-1504	64	10	as	as	ADP
ijassa-1504	64	11	p1	p1	NOUN
ijassa-1504	64	12	,	,	PUNCT
ijassa-1504	64	13	p2	p2	NOUN
ijassa-1504	64	14	,	,	PUNCT
ijassa-1504	64	15	and	and	CCONJ
ijassa-1504	64	16	p3	p3	PROPN
ijassa-1504	64	17	,	,	PUNCT
ijassa-1504	64	18	respectively	respectively	ADV
ijassa-1504	64	19	.	.	PUNCT
ijassa-1504	65	1	let	let	VERB
ijassa-1504	65	2	dj	dj	PART
ijassa-1504	65	3	be	be	AUX
ijassa-1504	65	4	the	the	DET
ijassa-1504	65	5	module	module	NOUN
ijassa-1504	65	6	of	of	ADP
ijassa-1504	65	7	vector	vector	NOUN
ijassa-1504	65	8	fields	field	NOUN
ijassa-1504	65	9	from	from	ADP
ijassa-1504	65	10	the	the	DET
ijassa-1504	65	11	distribution	distribution	NOUN
ijassa-1504	65	12	pj	pj	PROPN
ijassa-1504	65	13	and	and	CCONJ
ijassa-1504	65	14	let	let	VERB
ijassa-1504	65	15	pj	pj	PROPN
ijassa-1504	65	16	:	:	PUNCT
ijassa-1504	65	17	d(j1	d(j1	X
ijassa-1504	65	18	)	)	PUNCT
ijassa-1504	65	19	→	→	SYM
ijassa-1504	65	20	dj	dj	X
ijassa-1504	65	21	be	be	AUX
ijassa-1504	65	22	projectors	projector	NOUN
ijassa-1504	65	23	.	.	PUNCT
ijassa-1504	66	1	define	define	VERB
ijassa-1504	66	2	the	the	DET
ijassa-1504	66	3	tensors	tensor	NOUN
ijassa-1504	66	4	qsj	qsj	VERB
ijassa-1504	66	5	,	,	PUNCT
ijassa-1504	66	6	k	k	PROPN
ijassa-1504	66	7	∈	∈	PROPN
ijassa-1504	66	8	ω2(j1)⊗d(j1	ω2(j1)⊗d(j1	NUM
ijassa-1504	66	9	)	)	PUNCT
ijassa-1504	66	10	(	(	PUNCT
ijassa-1504	66	11	see	see	VERB
ijassa-1504	66	12	[	[	X
ijassa-1504	66	13	12	12	NUM
ijassa-1504	66	14	]	]	PUNCT
ijassa-1504	66	15	):	):	PUNCT
ijassa-1504	66	16	qsj	qsj	PROPN
ijassa-1504	66	17	,	,	PUNCT
ijassa-1504	66	18	k(x	k(x	PROPN
ijassa-1504	66	19	,	,	PUNCT
ijassa-1504	66	20	y	y	PROPN
ijassa-1504	66	21	)	)	PUNCT
ijassa-1504	66	22	:	:	PUNCT
ijassa-1504	66	23	=	=	SYM
ijassa-1504	66	24	−ps[pjx	−ps[pjx	NOUN
ijassa-1504	66	25	,	,	PUNCT
ijassa-1504	66	26	pky	pky	VERB
ijassa-1504	66	27	]	]	PUNCT
ijassa-1504	66	28	,	,	PUNCT
ijassa-1504	66	29	where	where	SCONJ
ijassa-1504	66	30	j	j	PROPN
ijassa-1504	66	31	,	,	PUNCT
ijassa-1504	66	32	k	k	PROPN
ijassa-1504	66	33	,	,	PUNCT
ijassa-1504	66	34	s	s	PART
ijassa-1504	66	35	=	=	SYM
ijassa-1504	66	36	1	1	NUM
ijassa-1504	66	37	,	,	PUNCT
ijassa-1504	66	38	2	2	NUM
ijassa-1504	66	39	,	,	PUNCT
ijassa-1504	66	40	3	3	NUM
ijassa-1504	66	41	;	;	PUNCT
ijassa-1504	66	42	s	s	AUX
ijassa-1504	66	43	̸=	̸=	PROPN
ijassa-1504	66	44	j	j	PROPN
ijassa-1504	66	45	,	,	PUNCT
ijassa-1504	66	46	k	k	PROPN
ijassa-1504	66	47	,	,	PUNCT
ijassa-1504	66	48	and	and	CCONJ
ijassa-1504	66	49	skew	skew	ADJ
ijassa-1504	66	50	contraction	contraction	NOUN
ijassa-1504	66	51	of	of	ADP
ijassa-1504	66	52	two	two	NUM
ijassa-1504	66	53	decomposable	decomposable	ADJ
ijassa-1504	66	54	tensors	tensor	NOUN
ijassa-1504	66	55	α⊗	α⊗	VERB
ijassa-1504	66	56	x	x	SYM
ijassa-1504	66	57	,	,	PUNCT
ijassa-1504	66	58	β	β	PROPN
ijassa-1504	66	59	⊗	⊗	PROPN
ijassa-1504	66	60	y	y	PROPN
ijassa-1504	66	61	∈	∈	PROPN
ijassa-1504	66	62	ω2(j1)⊗d(j1	ω2(j1)⊗d(j1	NUM
ijassa-1504	66	63	):	):	PUNCT
ijassa-1504	66	64	⟨α⊗x	⟨α⊗x	PROPN
ijassa-1504	66	65	,	,	PUNCT
ijassa-1504	66	66	β	β	PROPN
ijassa-1504	66	67	⊗	⊗	PROPN
ijassa-1504	66	68	y	y	PROPN
ijassa-1504	66	69	⟩	⟩	NOUN
ijassa-1504	66	70	=	=	PUNCT
ijassa-1504	66	71	(	(	PUNCT
ijassa-1504	66	72	y	y	PROPN
ijassa-1504	66	73	⌋α	⌋α	PROPN
ijassa-1504	66	74	)	)	PUNCT
ijassa-1504	67	1	∧	∧	PROPN
ijassa-1504	67	2	(	(	PUNCT
ijassa-1504	67	3	x⌋β	x⌋β	PROPN
ijassa-1504	67	4	)	)	PUNCT
ijassa-1504	67	5	.	.	PUNCT
ijassa-1504	68	1	this	this	DET
ijassa-1504	68	2	definition	definition	NOUN
ijassa-1504	68	3	is	be	AUX
ijassa-1504	68	4	extended	extend	VERB
ijassa-1504	68	5	to	to	ADP
ijassa-1504	68	6	the	the	DET
ijassa-1504	68	7	remaining	remain	VERB
ijassa-1504	68	8	tensors	tensor	NOUN
ijassa-1504	68	9	by	by	ADP
ijassa-1504	68	10	linearity	linearity	NOUN
ijassa-1504	68	11	.	.	PUNCT
ijassa-1504	69	1	tensor	tensor	NOUN
ijassa-1504	69	2	invariants	invariant	NOUN
ijassa-1504	69	3	of	of	ADP
ijassa-1504	69	4	equation	equation	NOUN
ijassa-1504	69	5	(	(	PUNCT
ijassa-1504	69	6	1.1	1.1	NUM
ijassa-1504	69	7	)	)	PUNCT
ijassa-1504	69	8	have	have	VERB
ijassa-1504	69	9	the	the	DET
ijassa-1504	69	10	form	form	NOUN
ijassa-1504	69	11	:	:	PUNCT
ijassa-1504	69	12	q12,3	q12,3	ADJ
ijassa-1504	69	13	=	=	SYM
ijassa-1504	69	14	(	(	PUNCT
ijassa-1504	69	15	p2dt	p2dt	NOUN
ijassa-1504	69	16	∧	∧	NOUN
ijassa-1504	69	17	dx+	dx+	NOUN
ijassa-1504	69	18	dt	dt	PUNCT
ijassa-1504	69	19	∧	∧	NOUN
ijassa-1504	69	20	du)⊗	du)⊗	X
ijassa-1504	69	21	(	(	PUNCT
ijassa-1504	69	22	g(p2	g(p2	NOUN
ijassa-1504	69	23	)	)	PUNCT
ijassa-1504	69	24	2	2	NUM
ijassa-1504	69	25	∂	∂	NUM
ijassa-1504	69	26	∂p1	∂p1	NOUN
ijassa-1504	69	27	−g	−g	NOUN
ijassa-1504	69	28	(	(	PUNCT
ijassa-1504	69	29	p2	p2	PROPN
ijassa-1504	69	30	)	)	PUNCT
ijassa-1504	69	31	∂	∂	NUM
ijassa-1504	70	1	∂x	∂x	NOUN
ijassa-1504	70	2	+	+	PROPN
ijassa-1504	70	3	g	g	PROPN
ijassa-1504	70	4	(	(	PUNCT
ijassa-1504	70	5	p2	p2	PROPN
ijassa-1504	70	6	)	)	PUNCT
ijassa-1504	70	7	p2	p2	PROPN
ijassa-1504	70	8	∂	∂	NUM
ijassa-1504	70	9	∂u	∂u	PROPN
ijassa-1504	70	10	)	)	PUNCT
ijassa-1504	70	11	,	,	PUNCT
ijassa-1504	71	1	q31,2	q31,2	NOUN
ijassa-1504	71	2	=	=	PUNCT
ijassa-1504	71	3	(	(	PUNCT
ijassa-1504	71	4	p2dt	p2dt	NOUN
ijassa-1504	71	5	∧	∧	PROPN
ijassa-1504	71	6	dx−	dx−	PRON
ijassa-1504	71	7	dt	dt	PROPN
ijassa-1504	71	8	∧	∧	PROPN
ijassa-1504	71	9	du+	du+	NOUN
ijassa-1504	71	10	p1dt	p1dt	PUNCT
ijassa-1504	71	11	∧	∧	PROPN
ijassa-1504	71	12	dp2	dp2	PROPN
ijassa-1504	71	13	+	+	CCONJ
ijassa-1504	71	14	p2dx	p2dx	PROPN
ijassa-1504	72	1	∧	∧	PROPN
ijassa-1504	72	2	dp2	dp2	PROPN
ijassa-1504	72	3	−	−	PROPN
ijassa-1504	72	4	du	du	PROPN
ijassa-1504	72	5	∧	∧	PROPN
ijassa-1504	72	6	dp2	dp2	PROPN
ijassa-1504	72	7	)	)	PUNCT
ijassa-1504	72	8	⊗	⊗	PROPN
ijassa-1504	72	9	(	(	PUNCT
ijassa-1504	72	10	−	−	PROPN
ijassa-1504	72	11	(	(	PUNCT
ijassa-1504	72	12	g′′	g′′	PROPN
ijassa-1504	72	13	(	(	PUNCT
ijassa-1504	72	14	p2)−	p2)−	PROPN
ijassa-1504	72	15	2	2	NUM
ijassa-1504	72	16	)	)	PUNCT
ijassa-1504	72	17	(	(	PUNCT
ijassa-1504	72	18	g	g	NOUN
ijassa-1504	72	19	(	(	PUNCT
ijassa-1504	72	20	p2	p2	PROPN
ijassa-1504	72	21	)	)	PUNCT
ijassa-1504	72	22	)	)	PUNCT
ijassa-1504	72	23	2	2	NUM
ijassa-1504	72	24	∂	∂	NUM
ijassa-1504	72	25	∂p1	∂p1	NOUN
ijassa-1504	72	26	)	)	PUNCT
ijassa-1504	72	27	,	,	PUNCT
ijassa-1504	72	28	q21,1	q21,1	NOUN
ijassa-1504	72	29	=	=	SYM
ijassa-1504	72	30	(	(	PUNCT
ijassa-1504	72	31	g	g	PROPN
ijassa-1504	72	32	(	(	PUNCT
ijassa-1504	72	33	p2	p2	PROPN
ijassa-1504	72	34	)	)	PUNCT
ijassa-1504	72	35	dt	dt	X
ijassa-1504	73	1	∧	∧	NOUN
ijassa-1504	73	2	dx+	dx+	NOUN
ijassa-1504	73	3	udt	udt	ADJ
ijassa-1504	73	4	∧	∧	PROPN
ijassa-1504	73	5	dp2	dp2	NOUN
ijassa-1504	73	6	+	+	CCONJ
ijassa-1504	73	7	dx	dx	PROPN
ijassa-1504	73	8	∧	∧	PROPN
ijassa-1504	73	9	dp2)⊗	dp2)⊗	PROPN
ijassa-1504	73	10	(	(	PUNCT
ijassa-1504	73	11	−g	−g	NOUN
ijassa-1504	73	12	(	(	PUNCT
ijassa-1504	73	13	p2	p2	PROPN
ijassa-1504	73	14	)	)	PUNCT
ijassa-1504	73	15	∂	∂	NUM
ijassa-1504	73	16	∂u	∂u	NOUN
ijassa-1504	74	1	+	+	CCONJ
ijassa-1504	74	2	(	(	PUNCT
ijassa-1504	74	3	g′	g′	NOUN
ijassa-1504	74	4	(	(	PUNCT
ijassa-1504	74	5	p2)−	p2)−	ADJ
ijassa-1504	74	6	p2)g(p2	p2)g(p2	NOUN
ijassa-1504	74	7	)	)	PUNCT
ijassa-1504	74	8	∂	∂	NOUN
ijassa-1504	74	9	∂p1	∂p1	NOUN
ijassa-1504	74	10	)	)	PUNCT
ijassa-1504	74	11	,	,	PUNCT
ijassa-1504	74	12	q23,3	q23,3	NOUN
ijassa-1504	74	13	=	=	SYM
ijassa-1504	74	14	(	(	PUNCT
ijassa-1504	74	15	(	(	PUNCT
ijassa-1504	74	16	g′	g′	NOUN
ijassa-1504	74	17	(	(	PUNCT
ijassa-1504	74	18	p2	p2	PROPN
ijassa-1504	74	19	)	)	PUNCT
ijassa-1504	74	20	p2	p2	PROPN
ijassa-1504	74	21	−	−	NOUN
ijassa-1504	74	22	p22	p22	NOUN
ijassa-1504	74	23	−g	−g	NOUN
ijassa-1504	74	24	(	(	PUNCT
ijassa-1504	74	25	p2	p2	PROPN
ijassa-1504	74	26	)	)	PUNCT
ijassa-1504	74	27	)	)	PUNCT
ijassa-1504	74	28	dt	dt	X
ijassa-1504	75	1	∧	∧	PROPN
ijassa-1504	75	2	dx+	dx+	NOUN
ijassa-1504	75	3	(	(	PUNCT
ijassa-1504	75	4	−g′	−g′	NOUN
ijassa-1504	75	5	(	(	PUNCT
ijassa-1504	75	6	p2	p2	PROPN
ijassa-1504	75	7	)	)	PUNCT
ijassa-1504	75	8	+	+	NUM
ijassa-1504	75	9	p2	p2	NOUN
ijassa-1504	75	10	)	)	PUNCT
ijassa-1504	75	11	dt	dt	X
ijassa-1504	76	1	∧	∧	NOUN
ijassa-1504	76	2	du+	du+	NOUN
ijassa-1504	76	3	dt	dt	PROPN
ijassa-1504	76	4	∧	∧	PROPN
ijassa-1504	76	5	dp1	dp1	PROPN
ijassa-1504	76	6	−	−	PROPN
ijassa-1504	76	7	udt	udt	ADJ
ijassa-1504	76	8	∧	∧	PROPN
ijassa-1504	76	9	dp2	dp2	PROPN
ijassa-1504	76	10	)	)	PUNCT
ijassa-1504	77	1	⊗	⊗	PROPN
ijassa-1504	77	2	(	(	PUNCT
ijassa-1504	77	3	g	g	PROPN
ijassa-1504	77	4	(	(	PUNCT
ijassa-1504	77	5	p2	p2	PROPN
ijassa-1504	77	6	)	)	PUNCT
ijassa-1504	77	7	∂	∂	NUM
ijassa-1504	77	8	∂u	∂u	NOUN
ijassa-1504	77	9	−	−	PROPN
ijassa-1504	77	10	(	(	PUNCT
ijassa-1504	77	11	g′	g′	NOUN
ijassa-1504	77	12	(	(	PUNCT
ijassa-1504	77	13	p2)−	p2)−	ADJ
ijassa-1504	77	14	p2)g	p2)g	NOUN
ijassa-1504	77	15	(	(	PUNCT
ijassa-1504	77	16	p2	p2	PROPN
ijassa-1504	77	17	)	)	PUNCT
ijassa-1504	77	18	∂	∂	NUM
ijassa-1504	77	19	∂p1	∂p1	NOUN
ijassa-1504	77	20	)	)	PUNCT
ijassa-1504	77	21	.	.	PUNCT
ijassa-1504	78	1	copyright	copyright	NOUN
ijassa-1504	78	2	©	©	PROPN
ijassa-1504	78	3	2023	2023	NUM
ijassa-1504	78	4	assa	assa	NOUN
ijassa-1504	78	5	.	.	PUNCT
ijassa-1504	79	1	adv	adv	PROPN
ijassa-1504	79	2	syst	syst	PROPN
ijassa-1504	79	3	sci	sci	PROPN
ijassa-1504	79	4	appl	appl	PROPN
ijassa-1504	79	5	(	(	PUNCT
ijassa-1504	79	6	2023	2023	NUM
ijassa-1504	79	7	)	)	PUNCT
ijassa-1504	79	8	4	4	NUM
ijassa-1504	79	9	s.	s.	PROPN
ijassa-1504	79	10	mukhina	mukhina	NOUN
ijassa-1504	79	11	the	the	DET
ijassa-1504	79	12	invariant	invariant	ADJ
ijassa-1504	79	13	laplace	laplace	NOUN
ijassa-1504	79	14	forms	form	NOUN
ijassa-1504	79	15	for	for	ADP
ijassa-1504	79	16	equation	equation	NOUN
ijassa-1504	79	17	(	(	PUNCT
ijassa-1504	79	18	1.1	1.1	NUM
ijassa-1504	79	19	)	)	PUNCT
ijassa-1504	79	20	are	be	AUX
ijassa-1504	79	21	λ+	λ+	NOUN
ijassa-1504	79	22	=	=	PUNCT
ijassa-1504	79	23	〈	〈	PROPN
ijassa-1504	79	24	q21,1	q21,1	NOUN
ijassa-1504	79	25	,	,	PUNCT
ijassa-1504	79	26	q	q	NOUN
ijassa-1504	79	27	1	1	NUM
ijassa-1504	79	28	2,3	2,3	NUM
ijassa-1504	79	29	〉	〉	NOUN
ijassa-1504	79	30	=	=	SYM
ijassa-1504	79	31	−dt	−dt	NUM
ijassa-1504	79	32	∧	∧	PROPN
ijassa-1504	79	33	dp2	dp2	PROPN
ijassa-1504	79	34	,	,	PUNCT
ijassa-1504	79	35	λ−	λ−	PROPN
ijassa-1504	79	36	=	=	SYM
ijassa-1504	79	37	〈	〈	PROPN
ijassa-1504	79	38	q23,3	q23,3	NOUN
ijassa-1504	79	39	,	,	PUNCT
ijassa-1504	79	40	q	q	PROPN
ijassa-1504	79	41	3	3	NUM
ijassa-1504	79	42	1,2	1,2	NUM
ijassa-1504	79	43	〉	〉	NOUN
ijassa-1504	79	44	=	=	SYM
ijassa-1504	79	45	−(g′′(p2)−	−(g′′(p2)−	VERB
ijassa-1504	79	46	2)dt	2)dt	PROPN
ijassa-1504	79	47	∧	∧	PROPN
ijassa-1504	79	48	dp2	dp2	PROPN
ijassa-1504	79	49	.	.	PUNCT
ijassa-1504	79	50	equation	equation	NOUN
ijassa-1504	79	51	(	(	PUNCT
ijassa-1504	79	52	1.1	1.1	NUM
ijassa-1504	79	53	)	)	PUNCT
ijassa-1504	79	54	satisfies	satisfy	VERB
ijassa-1504	79	55	the	the	DET
ijassa-1504	79	56	conditions	condition	NOUN
ijassa-1504	79	57	of	of	ADP
ijassa-1504	79	58	contact	contact	NOUN
ijassa-1504	79	59	linearization	linearization	NOUN
ijassa-1504	79	60	λ−	λ−	PROPN
ijassa-1504	79	61	=	=	SYM
ijassa-1504	79	62	0	0	NUM
ijassa-1504	79	63	,	,	PUNCT
ijassa-1504	79	64	λ+	λ+	PUNCT
ijassa-1504	79	65	∧	∧	NOUN
ijassa-1504	79	66	λ+	λ+	PUNCT
ijassa-1504	79	67	=	=	NOUN
ijassa-1504	79	68	0	0	NUM
ijassa-1504	79	69	,	,	PUNCT
ijassa-1504	79	70	dλ+	dλ+	NOUN
ijassa-1504	79	71	=	=	SYM
ijassa-1504	79	72	0	0	PUNCT
ijassa-1504	80	1	if	if	SCONJ
ijassa-1504	80	2	and	and	CCONJ
ijassa-1504	80	3	only	only	ADV
ijassa-1504	80	4	if	if	SCONJ
ijassa-1504	80	5	the	the	DET
ijassa-1504	80	6	function	function	NOUN
ijassa-1504	80	7	g(p2	g(p2	NOUN
ijassa-1504	80	8	)	)	PUNCT
ijassa-1504	80	9	has	have	VERB
ijassa-1504	80	10	the	the	DET
ijassa-1504	80	11	form	form	NOUN
ijassa-1504	80	12	g(p2	g(p2	ADJ
ijassa-1504	80	13	)	)	PUNCT
ijassa-1504	81	1	=	=	VERB
ijassa-1504	81	2	p22	p22	NOUN
ijassa-1504	81	3	+	+	CCONJ
ijassa-1504	81	4	2k1p2	2k1p2	NUM
ijassa-1504	81	5	+	+	CCONJ
ijassa-1504	81	6	k0	k0	PROPN
ijassa-1504	81	7	,	,	PUNCT
ijassa-1504	81	8	where	where	SCONJ
ijassa-1504	81	9	k0	k0	PROPN
ijassa-1504	81	10	,	,	PUNCT
ijassa-1504	81	11	k1	k1	PROPN
ijassa-1504	81	12	are	be	AUX
ijassa-1504	81	13	arbitrary	arbitrary	ADJ
ijassa-1504	81	14	constants	constant	NOUN
ijassa-1504	81	15	.	.	PUNCT
ijassa-1504	82	1	then	then	ADV
ijassa-1504	82	2	equation	equation	NOUN
ijassa-1504	82	3	(	(	PUNCT
ijassa-1504	82	4	1.1	1.1	NUM
ijassa-1504	82	5	)	)	PUNCT
ijassa-1504	82	6	has	have	VERB
ijassa-1504	82	7	the	the	DET
ijassa-1504	82	8	form	form	NOUN
ijassa-1504	82	9	utx	utx	PROPN
ijassa-1504	82	10	−	−	PROPN
ijassa-1504	82	11	uuxx	uuxx	ADJ
ijassa-1504	82	12	−	−	PROPN
ijassa-1504	82	13	2k1ux	2k1ux	NUM
ijassa-1504	82	14	−	−	PROPN
ijassa-1504	82	15	u2x	u2x	PROPN
ijassa-1504	82	16	−	−	PROPN
ijassa-1504	82	17	k0	k0	PROPN
ijassa-1504	82	18	=	=	PROPN
ijassa-1504	82	19	0	0	PROPN
ijassa-1504	82	20	.	.	PUNCT
ijassa-1504	83	1	(	(	PUNCT
ijassa-1504	83	2	2.6	2.6	NUM
ijassa-1504	83	3	)	)	PUNCT
ijassa-1504	83	4	let	let	VERB
ijassa-1504	83	5	us	we	PRON
ijassa-1504	83	6	construct	construct	VERB
ijassa-1504	83	7	a	a	DET
ijassa-1504	83	8	linearizing	linearize	VERB
ijassa-1504	83	9	contact	contact	NOUN
ijassa-1504	83	10	transformation	transformation	NOUN
ijassa-1504	83	11	.	.	PUNCT
ijassa-1504	84	1	equation	equation	NOUN
ijassa-1504	84	2	(	(	PUNCT
ijassa-1504	84	3	2.6	2.6	NUM
ijassa-1504	84	4	)	)	PUNCT
ijassa-1504	84	5	corresponds	correspond	NOUN
ijassa-1504	84	6	to	to	ADP
ijassa-1504	84	7	the	the	DET
ijassa-1504	84	8	differential	differential	ADJ
ijassa-1504	84	9	2	2	NUM
ijassa-1504	84	10	-	-	PUNCT
ijassa-1504	84	11	form	form	NOUN
ijassa-1504	84	12	ω	ω	NOUN
ijassa-1504	84	13	=	=	PUNCT
ijassa-1504	85	1	−2(u2x	−2(u2x	NOUN
ijassa-1504	85	2	+	+	CCONJ
ijassa-1504	85	3	2k1ux	2k1ux	NUM
ijassa-1504	85	4	+	+	CCONJ
ijassa-1504	85	5	k0)dt	k0)dt	PROPN
ijassa-1504	85	6	∧	∧	PROPN
ijassa-1504	85	7	dx+	dx+	NOUN
ijassa-1504	85	8	dt	dt	PROPN
ijassa-1504	85	9	∧	∧	PROPN
ijassa-1504	85	10	dut	dut	PROPN
ijassa-1504	85	11	−	−	PROPN
ijassa-1504	85	12	2udt	2udt	PROPN
ijassa-1504	85	13	∧	∧	PROPN
ijassa-1504	85	14	dux	dux	NOUN
ijassa-1504	85	15	−	−	PROPN
ijassa-1504	85	16	dx	dx	PROPN
ijassa-1504	85	17	∧	∧	PROPN
ijassa-1504	85	18	dux	dux	PROPN
ijassa-1504	85	19	.	.	PUNCT
ijassa-1504	86	1	(	(	PUNCT
ijassa-1504	86	2	2.7	2.7	NUM
ijassa-1504	86	3	)	)	PUNCT
ijassa-1504	86	4	we	we	PRON
ijassa-1504	86	5	apply	apply	VERB
ijassa-1504	86	6	the	the	DET
ijassa-1504	86	7	partial	partial	ADJ
ijassa-1504	86	8	legendre	legendre	PROPN
ijassa-1504	86	9	transform	transform	NOUN
ijassa-1504	86	10	to	to	ADP
ijassa-1504	86	11	this	this	DET
ijassa-1504	86	12	2	2	NUM
ijassa-1504	86	13	-	-	PUNCT
ijassa-1504	86	14	form	form	NOUN
ijassa-1504	86	15	:	:	PUNCT
ijassa-1504	86	16	φ	φ	NUM
ijassa-1504	86	17	:	:	PUNCT
ijassa-1504	86	18	(	(	PUNCT
ijassa-1504	86	19	t	t	PROPN
ijassa-1504	86	20	,	,	PUNCT
ijassa-1504	86	21	x	x	X
ijassa-1504	86	22	,	,	PUNCT
ijassa-1504	86	23	u	u	NOUN
ijassa-1504	86	24	,	,	PUNCT
ijassa-1504	86	25	p1	p1	NOUN
ijassa-1504	86	26	,	,	PUNCT
ijassa-1504	86	27	p2	p2	X
ijassa-1504	86	28	)	)	PUNCT
ijassa-1504	86	29	7→	7→	NUM
ijassa-1504	86	30	(	(	PUNCT
ijassa-1504	86	31	t	t	PROPN
ijassa-1504	86	32	,	,	PUNCT
ijassa-1504	86	33	−p2,−xp2	−p2,−xp2	NOUN
ijassa-1504	86	34	+	+	CCONJ
ijassa-1504	86	35	u	u	PROPN
ijassa-1504	86	36	,	,	PUNCT
ijassa-1504	86	37	p1	p1	NOUN
ijassa-1504	86	38	,	,	PUNCT
ijassa-1504	86	39	x	x	NOUN
ijassa-1504	86	40	)	)	PUNCT
ijassa-1504	86	41	.	.	PUNCT
ijassa-1504	87	1	applying	apply	VERB
ijassa-1504	87	2	this	this	DET
ijassa-1504	87	3	transformation	transformation	NOUN
ijassa-1504	87	4	to	to	PART
ijassa-1504	87	5	differential	differential	VERB
ijassa-1504	87	6	form	form	NOUN
ijassa-1504	87	7	(	(	PUNCT
ijassa-1504	87	8	2.7	2.7	NUM
ijassa-1504	87	9	)	)	PUNCT
ijassa-1504	87	10	,	,	PUNCT
ijassa-1504	87	11	we	we	PRON
ijassa-1504	87	12	obtain	obtain	VERB
ijassa-1504	87	13	a	a	DET
ijassa-1504	87	14	new	new	ADJ
ijassa-1504	87	15	form	form	NOUN
ijassa-1504	87	16	ω1	ω1	NOUN
ijassa-1504	87	17	=	=	SYM
ijassa-1504	87	18	φ∗(ω	φ∗(ω	PROPN
ijassa-1504	87	19	)	)	PUNCT
ijassa-1504	87	20	=	=	SYM
ijassa-1504	88	1	(	(	PUNCT
ijassa-1504	88	2	2xp2	2xp2	NUM
ijassa-1504	88	3	−	−	PROPN
ijassa-1504	88	4	2u)dt	2u)dt	NUM
ijassa-1504	88	5	∧	∧	PROPN
ijassa-1504	88	6	dx+	dx+	NOUN
ijassa-1504	88	7	dt	dt	PROPN
ijassa-1504	88	8	∧	∧	PROPN
ijassa-1504	88	9	dp1	dp1	PROPN
ijassa-1504	88	10	+	+	X
ijassa-1504	88	11	(	(	PUNCT
ijassa-1504	88	12	2x2	2x2	NUM
ijassa-1504	88	13	+	+	NUM
ijassa-1504	88	14	4k1x+	4k1x+	NUM
ijassa-1504	88	15	2k0	2k0	NUM
ijassa-1504	88	16	)	)	PUNCT
ijassa-1504	88	17	dt	dt	X
ijassa-1504	89	1	∧	∧	PROPN
ijassa-1504	89	2	dp2	dp2	PROPN
ijassa-1504	89	3	−	−	PROPN
ijassa-1504	89	4	dx	dx	PROPN
ijassa-1504	89	5	∧	∧	PROPN
ijassa-1504	89	6	dp2	dp2	PROPN
ijassa-1504	89	7	,	,	PUNCT
ijassa-1504	89	8	which	which	PRON
ijassa-1504	89	9	corresponds	correspond	VERB
ijassa-1504	89	10	to	to	ADP
ijassa-1504	89	11	the	the	DET
ijassa-1504	89	12	linear	linear	ADJ
ijassa-1504	89	13	equation	equation	NOUN
ijassa-1504	89	14	utx	utx	NOUN
ijassa-1504	89	15	+	+	CCONJ
ijassa-1504	89	16	(	(	PUNCT
ijassa-1504	89	17	x2	x2	PROPN
ijassa-1504	89	18	+	+	NUM
ijassa-1504	89	19	k1x+	k1x+	PROPN
ijassa-1504	89	20	k0)uxx	k0)uxx	PROPN
ijassa-1504	89	21	+	+	CCONJ
ijassa-1504	89	22	xux	xux	X
ijassa-1504	89	23	−	−	PROPN
ijassa-1504	89	24	u	u	NOUN
ijassa-1504	89	25	=	=	NOUN
ijassa-1504	89	26	0	0	PROPN
ijassa-1504	89	27	.	.	PUNCT
ijassa-1504	90	1	(	(	PUNCT
ijassa-1504	90	2	2.8	2.8	NUM
ijassa-1504	90	3	)	)	PUNCT
ijassa-1504	90	4	equation	equation	NOUN
ijassa-1504	90	5	(	(	PUNCT
ijassa-1504	90	6	2.8	2.8	NUM
ijassa-1504	90	7	)	)	PUNCT
ijassa-1504	90	8	can	can	AUX
ijassa-1504	90	9	be	be	AUX
ijassa-1504	90	10	solved	solve	VERB
ijassa-1504	90	11	by	by	ADP
ijassa-1504	90	12	cascade	cascade	NOUN
ijassa-1504	90	13	integration	integration	NOUN
ijassa-1504	90	14	method	method	NOUN
ijassa-1504	90	15	:	:	PUNCT
ijassa-1504	90	16	u(t	u(t	NOUN
ijassa-1504	90	17	,	,	PUNCT
ijassa-1504	90	18	x	x	NOUN
ijassa-1504	90	19	)	)	PUNCT
ijassa-1504	90	20	=	=	SYM
ijassa-1504	90	21	ek1	ek1	PROPN
ijassa-1504	90	22	t	t	PROPN
ijassa-1504	90	23	(	(	PUNCT
ijassa-1504	90	24	∫	∫	PROPN
ijassa-1504	90	25	t	t	PROPN
ijassa-1504	90	26	t0	t0	PROPN
ijassa-1504	90	27	f1(τ)e	f1(τ)e	PROPN
ijassa-1504	90	28	−k1τ	−k1τ	PRON
ijassa-1504	90	29	cosh	cosh	NOUN
ijassa-1504	90	30	(	(	PUNCT
ijassa-1504	90	31	(	(	PUNCT
ijassa-1504	90	32	τ	τ	PROPN
ijassa-1504	90	33	−	−	PROPN
ijassa-1504	90	34	t	t	PROPN
ijassa-1504	90	35	)	)	PUNCT
ijassa-1504	90	36	√	√	NOUN
ijassa-1504	91	1	k21	k21	NOUN
ijassa-1504	92	1	−	−	PROPN
ijassa-1504	93	1	k0	k0	PROPN
ijassa-1504	94	1	−	−	PROPN
ijassa-1504	94	2	arctanh	arctanh	NOUN
ijassa-1504	94	3	(	(	PUNCT
ijassa-1504	94	4	x+	x+	PROPN
ijassa-1504	94	5	k1√	k1√	PROPN
ijassa-1504	94	6	k21	k21	NOUN
ijassa-1504	94	7	−	−	PROPN
ijassa-1504	94	8	k0	k0	PROPN
ijassa-1504	94	9	)	)	PUNCT
ijassa-1504	94	10	)	)	PUNCT
ijassa-1504	94	11	dτ+	dτ+	PROPN
ijassa-1504	95	1	+	+	ADV
ijassa-1504	95	2	f2	f2	PROPN
ijassa-1504	95	3	−t−	−t−	PRON
ijassa-1504	95	4	arctanh	arctanh	NOUN
ijassa-1504	95	5	(	(	PUNCT
ijassa-1504	95	6	x+k1√	x+k1√	PROPN
ijassa-1504	95	7	k21−k0	k21−k0	PROPN
ijassa-1504	95	8	)	)	PUNCT
ijassa-1504	96	1	√	√	VERB
ijassa-1504	97	1	k21	k21	NOUN
ijassa-1504	97	2	−	−	PROPN
ijassa-1504	97	3	k0	k0	PROPN
ijassa-1504	97	4			NOUN
ijassa-1504	97	5			NOUN
ijassa-1504	97	6	√	√	ADP
ijassa-1504	97	7	2k1x+	2k1x+	NUM
ijassa-1504	97	8	x2	x2	NOUN
ijassa-1504	98	1	+	+	CCONJ
ijassa-1504	98	2	k0	k0	PROPN
ijassa-1504	98	3	k0	k0	PROPN
ijassa-1504	98	4	−	−	PROPN
ijassa-1504	98	5	k21	k21	PROPN
ijassa-1504	98	6	,	,	PUNCT
ijassa-1504	98	7	(	(	PUNCT
ijassa-1504	98	8	2.9	2.9	NUM
ijassa-1504	98	9	)	)	PUNCT
ijassa-1504	98	10	where	where	SCONJ
ijassa-1504	98	11	f1	f1	NOUN
ijassa-1504	98	12	,	,	PUNCT
ijassa-1504	98	13	f2	f2	PROPN
ijassa-1504	98	14	are	be	AUX
ijassa-1504	98	15	arbitrary	arbitrary	ADJ
ijassa-1504	98	16	functions	function	NOUN
ijassa-1504	98	17	.	.	PUNCT
ijassa-1504	99	1	note	note	VERB
ijassa-1504	99	2	that	that	SCONJ
ijassa-1504	99	3	the	the	DET
ijassa-1504	99	4	legendre	legendre	PROPN
ijassa-1504	99	5	transformation	transformation	NOUN
ijassa-1504	99	6	maps	map	VERB
ijassa-1504	99	7	the	the	DET
ijassa-1504	99	8	multivalued	multivalue	VERB
ijassa-1504	99	9	solutions	solution	NOUN
ijassa-1504	99	10	of	of	ADP
ijassa-1504	99	11	equation	equation	NOUN
ijassa-1504	99	12	(	(	PUNCT
ijassa-1504	99	13	2.6	2.6	NUM
ijassa-1504	99	14	)	)	PUNCT
ijassa-1504	99	15	to	to	ADP
ijassa-1504	99	16	the	the	DET
ijassa-1504	99	17	solutions	solution	NOUN
ijassa-1504	99	18	of	of	ADP
ijassa-1504	99	19	equation	equation	NOUN
ijassa-1504	99	20	(	(	PUNCT
ijassa-1504	99	21	2.8	2.8	NUM
ijassa-1504	99	22	)	)	PUNCT
ijassa-1504	99	23	.	.	PUNCT
ijassa-1504	100	1	but	but	CCONJ
ijassa-1504	100	2	the	the	DET
ijassa-1504	100	3	inverse	inverse	PROPN
ijassa-1504	100	4	legendre	legendre	PROPN
ijassa-1504	100	5	transformation	transformation	NOUN
ijassa-1504	100	6	maps	map	VERB
ijassa-1504	100	7	classical	classical	ADJ
ijassa-1504	100	8	solutions	solution	NOUN
ijassa-1504	100	9	(	(	PUNCT
ijassa-1504	100	10	2.9	2.9	NUM
ijassa-1504	100	11	)	)	PUNCT
ijassa-1504	100	12	to	to	ADP
ijassa-1504	100	13	multivalued	multivalued	ADJ
ijassa-1504	100	14	ones	one	NOUN
ijassa-1504	100	15	.	.	PUNCT
ijassa-1504	101	1	apply	apply	VERB
ijassa-1504	101	2	the	the	DET
ijassa-1504	101	3	inverse	inverse	NOUN
ijassa-1504	101	4	transformation	transformation	NOUN
ijassa-1504	101	5	φ−1	φ−1	PROPN
ijassa-1504	101	6	:	:	PUNCT
ijassa-1504	101	7	(	(	PUNCT
ijassa-1504	101	8	t	t	PROPN
ijassa-1504	101	9	,	,	PUNCT
ijassa-1504	101	10	x	x	X
ijassa-1504	101	11	,	,	PUNCT
ijassa-1504	101	12	u	u	NOUN
ijassa-1504	101	13	,	,	PUNCT
ijassa-1504	101	14	p1	p1	NOUN
ijassa-1504	101	15	,	,	PUNCT
ijassa-1504	101	16	p2	p2	X
ijassa-1504	101	17	)	)	PUNCT
ijassa-1504	101	18	7→	7→	NUM
ijassa-1504	101	19	(	(	PUNCT
ijassa-1504	101	20	t	t	PROPN
ijassa-1504	101	21	,	,	PUNCT
ijassa-1504	101	22	p2,−xp2	p2,−xp2	NOUN
ijassa-1504	101	23	+	+	CCONJ
ijassa-1504	101	24	u	u	NOUN
ijassa-1504	101	25	,	,	PUNCT
ijassa-1504	101	26	p1,−x	p1,−x	NUM
ijassa-1504	101	27	)	)	PUNCT
ijassa-1504	101	28	to	to	ADP
ijassa-1504	101	29	(	(	PUNCT
ijassa-1504	101	30	2.9	2.9	NUM
ijassa-1504	101	31	)	)	PUNCT
ijassa-1504	101	32	.	.	PUNCT
ijassa-1504	102	1	let	let	VERB
ijassa-1504	102	2	us	we	PRON
ijassa-1504	102	3	choose	choose	VERB
ijassa-1504	102	4	t	t	PROPN
ijassa-1504	102	5	and	and	CCONJ
ijassa-1504	102	6	p2	p2	PROPN
ijassa-1504	102	7	as	as	ADP
ijassa-1504	102	8	parameters	parameter	NOUN
ijassa-1504	102	9	β	β	VERB
ijassa-1504	102	10	,	,	PUNCT
ijassa-1504	102	11	α	α	NOUN
ijassa-1504	102	12	,	,	PUNCT
ijassa-1504	102	13	respectively	respectively	ADV
ijassa-1504	102	14	.	.	PUNCT
ijassa-1504	103	1	then	then	ADV
ijassa-1504	103	2	we	we	PRON
ijassa-1504	103	3	get	get	VERB
ijassa-1504	103	4	general	general	ADJ
ijassa-1504	103	5	multivalued	multivalue	VERB
ijassa-1504	103	6	solution	solution	NOUN
ijassa-1504	103	7	of	of	ADP
ijassa-1504	103	8	equation	equation	NOUN
ijassa-1504	103	9	(	(	PUNCT
ijassa-1504	103	10	2.6	2.6	NUM
ijassa-1504	103	11	):	):	PUNCT
ijassa-1504	103	12	copyright	copyright	NOUN
ijassa-1504	103	13	©	©	PROPN
ijassa-1504	103	14	2023	2023	NUM
ijassa-1504	103	15	assa	assa	NOUN
ijassa-1504	103	16	.	.	PUNCT
ijassa-1504	104	1	adv	adv	PROPN
ijassa-1504	104	2	syst	syst	PROPN
ijassa-1504	104	3	sci	sci	PROPN
ijassa-1504	104	4	appl	appl	PROPN
ijassa-1504	104	5	(	(	PUNCT
ijassa-1504	104	6	2023	2023	NUM
ijassa-1504	104	7	)	)	PUNCT
ijassa-1504	104	8	an	an	DET
ijassa-1504	104	9	exact	exact	ADJ
ijassa-1504	104	10	solution	solution	NOUN
ijassa-1504	104	11	of	of	ADP
ijassa-1504	104	12	the	the	DET
ijassa-1504	104	13	hunter	hunter	NOUN
ijassa-1504	104	14	–	–	PUNCT
ijassa-1504	104	15	saxton	saxton	PROPN
ijassa-1504	104	16	–	–	PUNCT
ijassa-1504	104	17	calogero	calogero	PROPN
ijassa-1504	104	18	equation	equation	NOUN
ijassa-1504	104	19	5	5	NUM
ijassa-1504	104	20	l	l	NOUN
ijassa-1504	104	21	:	:	PUNCT
ijassa-1504	104	22			PROPN
ijassa-1504	104	23	t	t	PROPN
ijassa-1504	105	1	=	=	SYM
ijassa-1504	105	2	β	β	X
ijassa-1504	105	3	,	,	PUNCT
ijassa-1504	105	4	x	x	PUNCT
ijassa-1504	106	1	=	=	NOUN
ijassa-1504	106	2	−	−	PROPN
ijassa-1504	106	3	1√	1√	NOUN
ijassa-1504	106	4	−(α2	−(α2	PRON
ijassa-1504	106	5	+	+	NOUN
ijassa-1504	106	6	2αk1	2αk1	NUM
ijassa-1504	106	7	+	+	CCONJ
ijassa-1504	106	8	k0)γ	k0)γ	ADJ
ijassa-1504	106	9	(	(	PUNCT
ijassa-1504	106	10	ek1β	ek1β	PROPN
ijassa-1504	106	11	(	(	PUNCT
ijassa-1504	106	12	(	(	PUNCT
ijassa-1504	106	13	α	α	NOUN
ijassa-1504	106	14	+	+	X
ijassa-1504	106	15	k1	k1	NOUN
ijassa-1504	106	16	)	)	PUNCT
ijassa-1504	106	17	(	(	PUNCT
ijassa-1504	106	18	∫	∫	PROPN
ijassa-1504	106	19	β	β	PROPN
ijassa-1504	106	20	β0	β0	ADJ
ijassa-1504	106	21	f1(τ)e	f1(τ)e	PROPN
ijassa-1504	106	22	−k1τ	−k1τ	SYM
ijassa-1504	106	23	cosh(ψ)dτ	cosh(ψ)dτ	NOUN
ijassa-1504	106	24	)	)	PUNCT
ijassa-1504	107	1	+	+	PROPN
ijassa-1504	107	2	(	(	PUNCT
ijassa-1504	107	3	α	α	NOUN
ijassa-1504	107	4	+	+	X
ijassa-1504	107	5	k1)f2(η	k1)f2(η	X
ijassa-1504	107	6	)	)	PUNCT
ijassa-1504	107	7	+	+	CCONJ
ijassa-1504	107	8	γ	γ	X
ijassa-1504	107	9	(	(	PUNCT
ijassa-1504	107	10	∫	∫	PROPN
ijassa-1504	107	11	β	β	PROPN
ijassa-1504	107	12	β0	β0	ADJ
ijassa-1504	107	13	f1(τ)e	f1(τ)e	PROPN
ijassa-1504	107	14	−k1τ	−k1τ	NUM
ijassa-1504	107	15	sinh	sinh	NOUN
ijassa-1504	107	16	(	(	PUNCT
ijassa-1504	107	17	ψ	ψ	NOUN
ijassa-1504	107	18	)	)	PUNCT
ijassa-1504	107	19	dτ	dτ	NOUN
ijassa-1504	107	20	+	+	NUM
ijassa-1504	107	21	f	f	NOUN
ijassa-1504	107	22	′	′	NUM
ijassa-1504	107	23	2(η	2(η	NUM
ijassa-1504	107	24	)	)	PUNCT
ijassa-1504	107	25	)	)	PUNCT
ijassa-1504	107	26	)	)	PUNCT
ijassa-1504	107	27	)	)	PUNCT
ijassa-1504	107	28	,	,	PUNCT
ijassa-1504	107	29	u	u	NOUN
ijassa-1504	107	30	=	=	NOUN
ijassa-1504	107	31	−	−	PROPN
ijassa-1504	107	32	1√	1√	NOUN
ijassa-1504	107	33	−(α2	−(α2	PRON
ijassa-1504	107	34	+	+	NOUN
ijassa-1504	107	35	2αk1	2αk1	NUM
ijassa-1504	107	36	+	+	CCONJ
ijassa-1504	107	37	k0)γ	k0)γ	ADJ
ijassa-1504	107	38	(	(	PUNCT
ijassa-1504	107	39	(	(	PUNCT
ijassa-1504	107	40	(	(	PUNCT
ijassa-1504	107	41	αk1	αk1	NOUN
ijassa-1504	107	42	+	+	X
ijassa-1504	107	43	k0	k0	PROPN
ijassa-1504	107	44	)	)	PUNCT
ijassa-1504	107	45	(	(	PUNCT
ijassa-1504	107	46	∫	∫	PROPN
ijassa-1504	107	47	β	β	PROPN
ijassa-1504	107	48	β0	β0	ADJ
ijassa-1504	107	49	f1(τ)e	f1(τ)e	PROPN
ijassa-1504	107	50	−k1τ	−k1τ	NUM
ijassa-1504	107	51	cosh	cosh	NOUN
ijassa-1504	107	52	(	(	PUNCT
ijassa-1504	107	53	ψ	ψ	NOUN
ijassa-1504	107	54	)	)	PUNCT
ijassa-1504	107	55	dτ	dτ	NOUN
ijassa-1504	107	56	)	)	PUNCT
ijassa-1504	108	1	+	+	ADV
ijassa-1504	108	2	(	(	PUNCT
ijassa-1504	108	3	αk1	αk1	NOUN
ijassa-1504	108	4	+	+	CCONJ
ijassa-1504	108	5	k0)f2(η)−	k0)f2(η)−	NOUN
ijassa-1504	108	6	α	α	X
ijassa-1504	108	7	(	(	PUNCT
ijassa-1504	108	8	γ	γ	X
ijassa-1504	108	9	(	(	PUNCT
ijassa-1504	108	10	∫	∫	PROPN
ijassa-1504	108	11	β	β	PROPN
ijassa-1504	108	12	β0	β0	ADJ
ijassa-1504	108	13	f1(τ)e	f1(τ)e	PROPN
ijassa-1504	108	14	−k1τ	−k1τ	NUM
ijassa-1504	108	15	sinh	sinh	NOUN
ijassa-1504	108	16	(	(	PUNCT
ijassa-1504	108	17	ψ	ψ	NOUN
ijassa-1504	108	18	)	)	PUNCT
ijassa-1504	108	19	dτ	dτ	NOUN
ijassa-1504	108	20	)	)	PUNCT
ijassa-1504	109	1	+	+	NUM
ijassa-1504	109	2	f	f	NOUN
ijassa-1504	109	3	′	′	NUM
ijassa-1504	109	4	2(η	2(η	NUM
ijassa-1504	109	5	)	)	PUNCT
ijassa-1504	109	6	)	)	PUNCT
ijassa-1504	109	7	)	)	PUNCT
ijassa-1504	109	8	ek1β	ek1β	PROPN
ijassa-1504	109	9	)	)	PUNCT
ijassa-1504	109	10	,	,	PUNCT
ijassa-1504	109	11	ut	ut	PROPN
ijassa-1504	109	12	=	=	PROPN
ijassa-1504	109	13	e	e	X
ijassa-1504	109	14	k1β	k1β	NOUN
ijassa-1504	109	15	√	√	ADV
ijassa-1504	109	16	α2	α2	PROPN
ijassa-1504	109	17	+	+	CCONJ
ijassa-1504	109	18	2αk1	2αk1	NUM
ijassa-1504	109	19	+	+	CCONJ
ijassa-1504	109	20	k0	k0	PROPN
ijassa-1504	109	21	−γ	−γ	NOUN
ijassa-1504	109	22	(	(	PUNCT
ijassa-1504	109	23	−γ	−γ	NOUN
ijassa-1504	109	24	(	(	PUNCT
ijassa-1504	109	25	∫	∫	PROPN
ijassa-1504	109	26	β	β	PROPN
ijassa-1504	109	27	β0	β0	ADJ
ijassa-1504	109	28	f1(τ)e	f1(τ)e	PROPN
ijassa-1504	109	29	−k1τ	−k1τ	NUM
ijassa-1504	110	1	sinh	sinh	NOUN
ijassa-1504	110	2	(	(	PUNCT
ijassa-1504	110	3	ψ	ψ	NOUN
ijassa-1504	110	4	)	)	PUNCT
ijassa-1504	110	5	dτ	dτ	NOUN
ijassa-1504	110	6	)	)	PUNCT
ijassa-1504	111	1	+	+	NOUN
ijassa-1504	111	2	k1	k1	NOUN
ijassa-1504	111	3	(	(	PUNCT
ijassa-1504	111	4	∫	∫	PROPN
ijassa-1504	111	5	β	β	PROPN
ijassa-1504	111	6	β0	β0	ADJ
ijassa-1504	111	7	f1(τ)e	f1(τ)e	PROPN
ijassa-1504	111	8	−k1τ	−k1τ	NUM
ijassa-1504	111	9	cosh	cosh	NOUN
ijassa-1504	111	10	(	(	PUNCT
ijassa-1504	111	11	ψ	ψ	NOUN
ijassa-1504	111	12	)	)	PUNCT
ijassa-1504	111	13	dτ	dτ	NOUN
ijassa-1504	111	14	)	)	PUNCT
ijassa-1504	111	15	−	−	PROPN
ijassa-1504	112	1	f	f	NOUN
ijassa-1504	112	2	′	′	NUM
ijassa-1504	112	3	2(η	2(η	NUM
ijassa-1504	112	4	)	)	PUNCT
ijassa-1504	113	1	+	+	CCONJ
ijassa-1504	113	2	k1f2	k1f2	X
ijassa-1504	113	3	)	)	PUNCT
ijassa-1504	113	4	+	+	NUM
ijassa-1504	113	5	f1(β	f1(β	NOUN
ijassa-1504	113	6	)	)	PUNCT
ijassa-1504	113	7	,	,	PUNCT
ijassa-1504	113	8	ux	ux	PROPN
ijassa-1504	113	9	=	=	NOUN
ijassa-1504	113	10	α	α	PROPN
ijassa-1504	113	11	,	,	PUNCT
ijassa-1504	113	12	where	where	SCONJ
ijassa-1504	113	13	f1	f1	NOUN
ijassa-1504	113	14	,	,	PUNCT
ijassa-1504	113	15	f2	f2	PROPN
ijassa-1504	113	16	are	be	AUX
ijassa-1504	113	17	arbitrary	arbitrary	ADJ
ijassa-1504	113	18	functions	function	NOUN
ijassa-1504	113	19	,	,	PUNCT
ijassa-1504	113	20	α	α	X
ijassa-1504	113	21	,	,	PUNCT
ijassa-1504	113	22	β	β	X
ijassa-1504	113	23	are	be	AUX
ijassa-1504	113	24	parameters	parameter	NOUN
ijassa-1504	113	25	,	,	PUNCT
ijassa-1504	113	26	γ	γ	NOUN
ijassa-1504	113	27	=	=	PUNCT
ijassa-1504	113	28	√	√	PROPN
ijassa-1504	113	29	k21	k21	NOUN
ijassa-1504	113	30	−	−	PROPN
ijassa-1504	113	31	k0	k0	PROPN
ijassa-1504	113	32	,	,	PUNCT
ijassa-1504	113	33	η	η	NOUN
ijassa-1504	113	34	=	=	NOUN
ijassa-1504	113	35	−	−	VERB
ijassa-1504	113	36	βγ	βγ	PRON
ijassa-1504	113	37	+	+	CCONJ
ijassa-1504	113	38	artanh	artanh	ADJ
ijassa-1504	113	39	(	(	PUNCT
ijassa-1504	113	40	α	α	PROPN
ijassa-1504	113	41	+	+	CCONJ
ijassa-1504	113	42	k1	k1	PROPN
ijassa-1504	113	43	γ	γ	NOUN
ijassa-1504	113	44	)	)	PUNCT
ijassa-1504	113	45	γ	γ	PROPN
ijassa-1504	113	46			NOUN
ijassa-1504	113	47	,	,	PUNCT
ijassa-1504	113	48	ψ	ψ	X
ijassa-1504	113	49	=	=	SYM
ijassa-1504	113	50	(	(	PUNCT
ijassa-1504	113	51	−arctanh	−arctanh	NOUN
ijassa-1504	113	52	(	(	PUNCT
ijassa-1504	113	53	α	α	NOUN
ijassa-1504	113	54	+	+	CCONJ
ijassa-1504	113	55	k1	k1	PROPN
ijassa-1504	113	56	γ	γ	X
ijassa-1504	113	57	)	)	PUNCT
ijassa-1504	114	1	+	+	CCONJ
ijassa-1504	114	2	(	(	PUNCT
ijassa-1504	114	3	τ	τ	X
ijassa-1504	114	4	−	−	PROPN
ijassa-1504	114	5	β)γ	β)γ	PUNCT
ijassa-1504	114	6	)	)	PUNCT
ijassa-1504	114	7	.	.	PUNCT
ijassa-1504	115	1	to	to	PART
ijassa-1504	115	2	show	show	VERB
ijassa-1504	115	3	that	that	SCONJ
ijassa-1504	115	4	l	l	NOUN
ijassa-1504	115	5	is	be	AUX
ijassa-1504	115	6	indeed	indeed	ADV
ijassa-1504	115	7	a	a	DET
ijassa-1504	115	8	multivalued	multivalue	VERB
ijassa-1504	115	9	solution	solution	NOUN
ijassa-1504	115	10	,	,	PUNCT
ijassa-1504	115	11	it	it	PRON
ijassa-1504	115	12	is	be	AUX
ijassa-1504	115	13	enough	enough	ADJ
ijassa-1504	115	14	to	to	PART
ijassa-1504	115	15	check	check	VERB
ijassa-1504	115	16	that	that	SCONJ
ijassa-1504	115	17	the	the	DET
ijassa-1504	115	18	restriction	restriction	NOUN
ijassa-1504	115	19	of	of	ADP
ijassa-1504	115	20	the	the	DET
ijassa-1504	115	21	2	2	NUM
ijassa-1504	115	22	-	-	PUNCT
ijassa-1504	115	23	form	form	NOUN
ijassa-1504	115	24	ω	ω	NOUN
ijassa-1504	115	25	to	to	ADP
ijassa-1504	115	26	it	it	PRON
ijassa-1504	115	27	vanishes	vanish	VERB
ijassa-1504	115	28	.	.	PUNCT
ijassa-1504	116	1	3	3	X
ijassa-1504	116	2	.	.	X
ijassa-1504	116	3	visualization	visualization	NOUN
ijassa-1504	116	4	let	let	VERB
ijassa-1504	116	5	us	we	PRON
ijassa-1504	116	6	consider	consider	VERB
ijassa-1504	116	7	an	an	DET
ijassa-1504	116	8	example	example	NOUN
ijassa-1504	116	9	of	of	ADP
ijassa-1504	116	10	visualization	visualization	NOUN
ijassa-1504	116	11	for	for	ADP
ijassa-1504	116	12	constructed	construct	VERB
ijassa-1504	116	13	solution	solution	NOUN
ijassa-1504	116	14	.	.	PUNCT
ijassa-1504	117	1	let	let	VERB
ijassa-1504	117	2	k0	k0	PROPN
ijassa-1504	117	3	=	=	PROPN
ijassa-1504	117	4	2	2	NUM
ijassa-1504	117	5	,	,	PUNCT
ijassa-1504	117	6	k1	k1	NOUN
ijassa-1504	117	7	=	=	SYM
ijassa-1504	117	8	0	0	X
ijassa-1504	117	9	.	.	PUNCT
ijassa-1504	118	1	choose	choose	VERB
ijassa-1504	118	2	the	the	DET
ijassa-1504	118	3	functions	function	NOUN
ijassa-1504	118	4	f1(τ	f1(τ	NOUN
ijassa-1504	118	5	)	)	PUNCT
ijassa-1504	118	6	=	=	PUNCT
ijassa-1504	118	7	−τ	−τ	PROPN
ijassa-1504	118	8	,	,	PUNCT
ijassa-1504	118	9	f2(η	f2(η	NOUN
ijassa-1504	118	10	)	)	PUNCT
ijassa-1504	118	11	=	=	SYM
ijassa-1504	118	12	−η	−η	NOUN
ijassa-1504	118	13	.	.	PUNCT
ijassa-1504	119	1	then	then	ADV
ijassa-1504	119	2	we	we	PRON
ijassa-1504	119	3	have	have	PROPN
ijassa-1504	119	4	t	t	NOUN
ijassa-1504	119	5	=	=	SYM
ijassa-1504	119	6	β	β	X
ijassa-1504	119	7	,	,	PUNCT
ijassa-1504	119	8	x	x	X
ijassa-1504	119	9	=	=	PUNCT
ijassa-1504	119	10	β	β	X
ijassa-1504	119	11	+	+	CCONJ
ijassa-1504	119	12	(	(	PUNCT
ijassa-1504	119	13	arctan	arctan	PROPN
ijassa-1504	119	14	(	(	PUNCT
ijassa-1504	119	15	α)α	α)α	VERB
ijassa-1504	119	16	+	+	CCONJ
ijassa-1504	119	17	1−	1−	NUM
ijassa-1504	119	18	βα	βα	NOUN
ijassa-1504	119	19	)	)	PUNCT
ijassa-1504	119	20	√	√	ADV
ijassa-1504	120	1	α2	α2	ADJ
ijassa-1504	120	2	+	+	CCONJ
ijassa-1504	120	3	1	1	NUM
ijassa-1504	121	1	+	+	CCONJ
ijassa-1504	121	2	α2β	α2β	PROPN
ijassa-1504	121	3	α2	α2	ADJ
ijassa-1504	121	4	+	+	CCONJ
ijassa-1504	121	5	1	1	NUM
ijassa-1504	121	6	,	,	PUNCT
ijassa-1504	121	7	u	u	NOUN
ijassa-1504	121	8	=	=	PUNCT
ijassa-1504	121	9	(	(	PUNCT
ijassa-1504	121	10	β	β	X
ijassa-1504	121	11	+	+	CCONJ
ijassa-1504	121	12	α−	α−	ADP
ijassa-1504	121	13	arctan	arctan	PROPN
ijassa-1504	121	14	(	(	PUNCT
ijassa-1504	121	15	α	α	NOUN
ijassa-1504	121	16	)	)	PUNCT
ijassa-1504	121	17	)	)	PUNCT
ijassa-1504	121	18	√	√	ADP
ijassa-1504	122	1	α2	α2	ADJ
ijassa-1504	122	2	+	+	CCONJ
ijassa-1504	122	3	1−	1−	NUM
ijassa-1504	122	4	α2	α2	ADJ
ijassa-1504	122	5	−	−	PROPN
ijassa-1504	122	6	1	1	NUM
ijassa-1504	122	7	α2	α2	ADJ
ijassa-1504	122	8	+	+	CCONJ
ijassa-1504	122	9	1	1	NUM
ijassa-1504	122	10	.	.	PUNCT
ijassa-1504	123	1	the	the	DET
ijassa-1504	123	2	graph	graph	NOUN
ijassa-1504	123	3	of	of	ADP
ijassa-1504	123	4	this	this	DET
ijassa-1504	123	5	solution	solution	NOUN
ijassa-1504	123	6	is	be	AUX
ijassa-1504	123	7	shown	show	VERB
ijassa-1504	123	8	in	in	ADP
ijassa-1504	123	9	fig	fig	NOUN
ijassa-1504	123	10	.	.	PUNCT
ijassa-1504	124	1	3.1	3.1	NUM
ijassa-1504	124	2	.	.	PUNCT
ijassa-1504	124	3	solution	solution	NOUN
ijassa-1504	124	4	graphs	graph	NOUN
ijassa-1504	124	5	for	for	ADP
ijassa-1504	124	6	other	other	ADJ
ijassa-1504	124	7	f1	f1	NOUN
ijassa-1504	124	8	and	and	CCONJ
ijassa-1504	124	9	f2	f2	PROPN
ijassa-1504	124	10	are	be	AUX
ijassa-1504	124	11	presented	present	VERB
ijassa-1504	124	12	in	in	ADP
ijassa-1504	124	13	fig	fig	NOUN
ijassa-1504	124	14	.	.	PUNCT
ijassa-1504	125	1	3.2	3.2	NUM
ijassa-1504	125	2	and	and	CCONJ
ijassa-1504	125	3	fig	fig	NOUN
ijassa-1504	125	4	.	.	PUNCT
ijassa-1504	126	1	3.3	3.3	NUM
ijassa-1504	126	2	.	.	PUNCT
ijassa-1504	127	1	copyright	copyright	NOUN
ijassa-1504	127	2	©	©	PROPN
ijassa-1504	127	3	2023	2023	NUM
ijassa-1504	127	4	assa	assa	NOUN
ijassa-1504	127	5	.	.	PUNCT
ijassa-1504	128	1	adv	adv	PROPN
ijassa-1504	128	2	syst	syst	PROPN
ijassa-1504	128	3	sci	sci	PROPN
ijassa-1504	128	4	appl	appl	PROPN
ijassa-1504	128	5	(	(	PUNCT
ijassa-1504	128	6	2023	2023	NUM
ijassa-1504	128	7	)	)	PUNCT
ijassa-1504	128	8	6	6	NUM
ijassa-1504	128	9	s.	s.	PROPN
ijassa-1504	128	10	mukhina	mukhina	PROPN
ijassa-1504	128	11	fig	fig	PROPN
ijassa-1504	128	12	.	.	PUNCT
ijassa-1504	129	1	3.1	3.1	NUM
ijassa-1504	129	2	.	.	PUNCT
ijassa-1504	129	3	solution	solution	NOUN
ijassa-1504	129	4	of	of	ADP
ijassa-1504	129	5	equation	equation	NOUN
ijassa-1504	129	6	(	(	PUNCT
ijassa-1504	129	7	2.6	2.6	NUM
ijassa-1504	129	8	)	)	PUNCT
ijassa-1504	129	9	with	with	ADP
ijassa-1504	129	10	f1(τ	f1(τ	NOUN
ijassa-1504	129	11	)	)	PUNCT
ijassa-1504	129	12	=	=	PUNCT
ijassa-1504	129	13	−τ	−τ	PROPN
ijassa-1504	129	14	,	,	PUNCT
ijassa-1504	129	15	f2(η	f2(η	NOUN
ijassa-1504	129	16	)	)	PUNCT
ijassa-1504	129	17	=	=	SYM
ijassa-1504	129	18	−η	−η	NOUN
ijassa-1504	129	19	.	.	PUNCT
ijassa-1504	130	1	fig	fig	NOUN
ijassa-1504	130	2	.	.	PUNCT
ijassa-1504	131	1	3.2	3.2	NUM
ijassa-1504	131	2	.	.	PUNCT
ijassa-1504	131	3	solution	solution	NOUN
ijassa-1504	131	4	with	with	ADP
ijassa-1504	131	5	f1(τ	f1(τ	NOUN
ijassa-1504	131	6	)	)	PUNCT
ijassa-1504	131	7	=	=	SYM
ijassa-1504	131	8	τ2	τ2	PROPN
ijassa-1504	131	9	,	,	PUNCT
ijassa-1504	131	10	f2(η	f2(η	NOUN
ijassa-1504	131	11	)	)	PUNCT
ijassa-1504	131	12	=	=	SYM
ijassa-1504	131	13	η2	η2	VERB
ijassa-1504	131	14	fig	fig	NOUN
ijassa-1504	131	15	.	.	PUNCT
ijassa-1504	132	1	3.3	3.3	NUM
ijassa-1504	132	2	.	.	PUNCT
ijassa-1504	132	3	solution	solution	NOUN
ijassa-1504	132	4	with	with	ADP
ijassa-1504	132	5	f1(τ	f1(τ	NOUN
ijassa-1504	132	6	)	)	PUNCT
ijassa-1504	132	7	=	=	SYM
ijassa-1504	132	8	τ3	τ3	NOUN
ijassa-1504	132	9	,	,	PUNCT
ijassa-1504	132	10	f2(η	f2(η	NOUN
ijassa-1504	132	11	)	)	PUNCT
ijassa-1504	132	12	=	=	SYM
ijassa-1504	132	13	η3	η3	NOUN
ijassa-1504	132	14	copyright	copyright	NOUN
ijassa-1504	132	15	©	©	ADP
ijassa-1504	132	16	2023	2023	NUM
ijassa-1504	132	17	assa	assa	NOUN
ijassa-1504	132	18	.	.	PUNCT
ijassa-1504	133	1	adv	adv	PROPN
ijassa-1504	133	2	syst	syst	PROPN
ijassa-1504	133	3	sci	sci	PROPN
ijassa-1504	133	4	appl	appl	PROPN
ijassa-1504	133	5	(	(	PUNCT
ijassa-1504	133	6	2023	2023	NUM
ijassa-1504	133	7	)	)	PUNCT
ijassa-1504	133	8	an	an	DET
ijassa-1504	133	9	exact	exact	ADJ
ijassa-1504	133	10	solution	solution	NOUN
ijassa-1504	133	11	of	of	ADP
ijassa-1504	133	12	the	the	DET
ijassa-1504	133	13	hunter	hunter	NOUN
ijassa-1504	133	14	–	–	PUNCT
ijassa-1504	133	15	saxton	saxton	PROPN
ijassa-1504	133	16	–	–	PUNCT
ijassa-1504	133	17	calogero	calogero	PROPN
ijassa-1504	133	18	equation	equation	NOUN
ijassa-1504	133	19	7	7	NUM
ijassa-1504	133	20	acknowledgements	acknowledgement	NOUN
ijassa-1504	133	21	this	this	DET
ijassa-1504	133	22	work	work	NOUN
ijassa-1504	133	23	is	be	AUX
ijassa-1504	133	24	supported	support	VERB
ijassa-1504	133	25	by	by	ADP
ijassa-1504	133	26	the	the	DET
ijassa-1504	133	27	russian	russian	PROPN
ijassa-1504	133	28	science	science	PROPN
ijassa-1504	133	29	foundation	foundation	PROPN
ijassa-1504	133	30	(	(	PUNCT
ijassa-1504	133	31	grant	grant	VERB
ijassa-1504	133	32	23	23	NUM
ijassa-1504	133	33	-	-	SYM
ijassa-1504	133	34	21	21	NUM
ijassa-1504	133	35	-	-	PUNCT
ijassa-1504	133	36	00390	00390	NUM
ijassa-1504	133	37	)	)	PUNCT
ijassa-1504	133	38	.	.	PUNCT
ijassa-1504	134	1	references	reference	NOUN
ijassa-1504	134	2	1	1	NUM
ijassa-1504	134	3	.	.	PUNCT
ijassa-1504	134	4	hunter	hunter	NOUN
ijassa-1504	134	5	,	,	PUNCT
ijassa-1504	134	6	j.	j.	PROPN
ijassa-1504	134	7	k.	k.	PROPN
ijassa-1504	134	8	&	&	CCONJ
ijassa-1504	134	9	saxton	saxton	PROPN
ijassa-1504	134	10	,	,	PUNCT
ijassa-1504	134	11	r.	r.	PROPN
ijassa-1504	134	12	(	(	PUNCT
ijassa-1504	134	13	1991	1991	NUM
ijassa-1504	134	14	)	)	PUNCT
ijassa-1504	134	15	.	.	PUNCT
ijassa-1504	135	1	dynamics	dynamic	NOUN
ijassa-1504	135	2	of	of	ADP
ijassa-1504	135	3	director	director	NOUN
ijassa-1504	135	4	fields	field	NOUN
ijassa-1504	135	5	,	,	PUNCT
ijassa-1504	135	6	siam	siam	PROPN
ijassa-1504	135	7	j.	j.	PROPN
ijassa-1504	135	8	appl	appl	PROPN
ijassa-1504	135	9	.	.	PROPN
ijassa-1504	135	10	math	math	PROPN
ijassa-1504	135	11	.	.	PUNCT
ijassa-1504	135	12	,	,	PUNCT
ijassa-1504	135	13	51	51	NUM
ijassa-1504	135	14	,	,	PUNCT
ijassa-1504	135	15	1498–1521	1498–1521	NUM
ijassa-1504	135	16	.	.	NOUN
ijassa-1504	136	1	2	2	X
ijassa-1504	136	2	.	.	X
ijassa-1504	136	3	golovin	golovin	PROPN
ijassa-1504	136	4	,	,	PUNCT
ijassa-1504	136	5	s.	s.	PROPN
ijassa-1504	136	6	v.	v.	PROPN
ijassa-1504	136	7	(	(	PUNCT
ijassa-1504	136	8	2004	2004	NUM
ijassa-1504	136	9	)	)	PUNCT
ijassa-1504	136	10	.	.	PUNCT
ijassa-1504	137	1	group	group	NOUN
ijassa-1504	137	2	foliation	foliation	NOUN
ijassa-1504	137	3	of	of	ADP
ijassa-1504	137	4	euler	euler	NOUN
ijassa-1504	137	5	equations	equation	NOUN
ijassa-1504	137	6	in	in	ADP
ijassa-1504	137	7	nonstationary	nonstationary	ADJ
ijassa-1504	137	8	rotationally	rotationally	ADV
ijassa-1504	137	9	symmetrical	symmetrical	ADJ
ijassa-1504	137	10	case	case	NOUN
ijassa-1504	137	11	,	,	PUNCT
ijassa-1504	137	12	proc	proc	NOUN
ijassa-1504	137	13	.	.	PUNCT
ijassa-1504	138	1	inst	inst	PROPN
ijassa-1504	138	2	.	.	PUNCT
ijassa-1504	138	3	math	math	NOUN
ijassa-1504	138	4	.	.	PUNCT
ijassa-1504	139	1	nas	nas	PROPN
ijassa-1504	139	2	of	of	ADP
ijassa-1504	139	3	ukraine	ukraine	NOUN
ijassa-1504	139	4	,	,	PUNCT
ijassa-1504	139	5	50	50	NUM
ijassa-1504	139	6	,	,	PUNCT
ijassa-1504	139	7	110–117	110–117	NUM
ijassa-1504	139	8	.	.	PUNCT
ijassa-1504	140	1	3	3	NUM
ijassa-1504	140	2	.	.	NUM
ijassa-1504	140	3	tod	tod	X
ijassa-1504	140	4	,	,	PUNCT
ijassa-1504	140	5	k.	k.	PROPN
ijassa-1504	141	1	p.	p.	PROPN
ijassa-1504	141	2	(	(	PUNCT
ijassa-1504	141	3	2000	2000	NUM
ijassa-1504	141	4	)	)	PUNCT
ijassa-1504	141	5	.	.	PUNCT
ijassa-1504	142	1	einstein	einstein	PROPN
ijassa-1504	142	2	-	-	PUNCT
ijassa-1504	142	3	weil	weil	PROPN
ijassa-1504	142	4	spaces	space	NOUN
ijassa-1504	142	5	and	and	CCONJ
ijassa-1504	142	6	third	third	ADJ
ijassa-1504	142	7	order	order	NOUN
ijassa-1504	142	8	differential	differential	NOUN
ijassa-1504	142	9	equations	equation	NOUN
ijassa-1504	142	10	,	,	PUNCT
ijassa-1504	142	11	j.	j.	PROPN
ijassa-1504	142	12	math	math	PROPN
ijassa-1504	142	13	.	.	PUNCT
ijassa-1504	143	1	phys	phy	NOUN
ijassa-1504	143	2	.	.	PUNCT
ijassa-1504	143	3	,	,	PUNCT
ijassa-1504	143	4	41	41	NUM
ijassa-1504	143	5	,	,	PUNCT
ijassa-1504	143	6	5572–5581	5572–5581	NUM
ijassa-1504	143	7	.	.	NOUN
ijassa-1504	143	8	4	4	NUM
ijassa-1504	143	9	.	.	X
ijassa-1504	143	10	morozov	morozov	NOUN
ijassa-1504	143	11	,	,	PUNCT
ijassa-1504	143	12	o.	o.	PROPN
ijassa-1504	143	13	i.	i.	PROPN
ijassa-1504	143	14	(	(	PUNCT
ijassa-1504	143	15	2007	2007	NUM
ijassa-1504	143	16	)	)	PUNCT
ijassa-1504	143	17	.	.	PUNCT
ijassa-1504	144	1	linearizuemost	linearizuemost	NOUN
ijassa-1504	144	2	i	i	PRON
ijassa-1504	144	3	integriruemost	integriruemost	VERB
ijassa-1504	144	4	oboshennogo	oboshennogo	ADJ
ijassa-1504	144	5	uravnenia	uravnenia	NOUN
ijassa-1504	144	6	calodgero	calodgero	NOUN
ijassa-1504	144	7	–	–	PUNCT
ijassa-1504	144	8	hanter	hanter	NOUN
ijassa-1504	144	9	–	–	PUNCT
ijassa-1504	144	10	saxton	saxton	NOUN
ijassa-1504	145	1	[	[	X
ijassa-1504	145	2	linearizability	linearizability	NOUN
ijassa-1504	145	3	and	and	CCONJ
ijassa-1504	145	4	integrability	integrability	NOUN
ijassa-1504	145	5	of	of	ADP
ijassa-1504	145	6	the	the	DET
ijassa-1504	145	7	generalized	generalize	VERB
ijassa-1504	145	8	calogero	calogero	NOUN
ijassa-1504	145	9	–	–	PUNCT
ijassa-1504	145	10	hunter	hunter	NOUN
ijassa-1504	145	11	–	–	PUNCT
ijassa-1504	145	12	saxton	saxton	NOUN
ijassa-1504	145	13	equation	equation	NOUN
ijassa-1504	145	14	]	]	PUNCT
ijassa-1504	145	15	,	,	PUNCT
ijassa-1504	145	16	nauchnii	nauchnii	PROPN
ijassa-1504	145	17	vestnik	vestnik	PROPN
ijassa-1504	145	18	mgtu	mgtu	PROPN
ijassa-1504	145	19	ga	ga	PROPN
ijassa-1504	145	20	,	,	PUNCT
ijassa-1504	145	21	114	114	NUM
ijassa-1504	145	22	,	,	PUNCT
ijassa-1504	145	23	34–42	34–42	NUM
ijassa-1504	145	24	,	,	PUNCT
ijassa-1504	145	25	[	[	X
ijassa-1504	145	26	in	in	ADP
ijassa-1504	145	27	russian	russian	PROPN
ijassa-1504	145	28	]	]	PUNCT
ijassa-1504	145	29	.	.	PUNCT
ijassa-1504	145	30	5	5	X
ijassa-1504	145	31	.	.	X
ijassa-1504	145	32	calogero	calogero	PROPN
ijassa-1504	145	33	,	,	PUNCT
ijassa-1504	145	34	f.	f.	PROPN
ijassa-1504	145	35	(	(	PUNCT
ijassa-1504	145	36	1984	1984	NUM
ijassa-1504	145	37	)	)	PUNCT
ijassa-1504	145	38	.	.	PUNCT
ijassa-1504	146	1	a	a	DET
ijassa-1504	146	2	solvable	solvable	ADJ
ijassa-1504	146	3	nonlinear	nonlinear	ADJ
ijassa-1504	146	4	wave	wave	NOUN
ijassa-1504	146	5	equation	equation	NOUN
ijassa-1504	146	6	,	,	PUNCT
ijassa-1504	146	7	stud	stud	NOUN
ijassa-1504	146	8	.	.	PUNCT
ijassa-1504	147	1	appl	appl	PROPN
ijassa-1504	147	2	.	.	PROPN
ijassa-1504	147	3	math	math	PROPN
ijassa-1504	147	4	.	.	PUNCT
ijassa-1504	147	5	,	,	PUNCT
ijassa-1504	147	6	70	70	NUM
ijassa-1504	147	7	,	,	PUNCT
ijassa-1504	147	8	189	189	NUM
ijassa-1504	147	9	–	–	SYM
ijassa-1504	147	10	199	199	NUM
ijassa-1504	147	11	.	.	NOUN
ijassa-1504	148	1	6	6	NUM
ijassa-1504	148	2	.	.	PUNCT
ijassa-1504	149	1	kushner	kushner	PROPN
ijassa-1504	149	2	,	,	PUNCT
ijassa-1504	149	3	a.	a.	PROPN
ijassa-1504	149	4	g.	g.	PROPN
ijassa-1504	149	5	&	&	CCONJ
ijassa-1504	149	6	mukhina	mukhina	PROPN
ijassa-1504	149	7	,	,	PUNCT
ijassa-1504	149	8	s.	s.	PROPN
ijassa-1504	149	9	s.	s.	PROPN
ijassa-1504	149	10	(	(	PUNCT
ijassa-1504	149	11	2022	2022	NUM
ijassa-1504	149	12	)	)	PUNCT
ijassa-1504	149	13	.	.	PUNCT
ijassa-1504	150	1	integration	integration	NOUN
ijassa-1504	150	2	of	of	ADP
ijassa-1504	150	3	the	the	DET
ijassa-1504	150	4	deep	deep	ADJ
ijassa-1504	150	5	bed	bed	NOUN
ijassa-1504	150	6	filtration	filtration	NOUN
ijassa-1504	150	7	equations	equation	NOUN
ijassa-1504	150	8	,	,	PUNCT
ijassa-1504	150	9	lobachevskii	lobachevskii	ADJ
ijassa-1504	150	10	journal	journal	NOUN
ijassa-1504	150	11	of	of	ADP
ijassa-1504	150	12	mathematics	mathematic	NOUN
ijassa-1504	150	13	,	,	PUNCT
ijassa-1504	150	14	43(10	43(10	NUM
ijassa-1504	150	15	)	)	PUNCT
ijassa-1504	150	16	,	,	PUNCT
ijassa-1504	150	17	73–80	73–80	NUM
ijassa-1504	150	18	.	.	NOUN
ijassa-1504	150	19	7	7	NUM
ijassa-1504	150	20	.	.	X
ijassa-1504	150	21	mukhina	mukhina	PROPN
ijassa-1504	150	22	,	,	PUNCT
ijassa-1504	150	23	s.	s.	PROPN
ijassa-1504	150	24	s.	s.	PROPN
ijassa-1504	150	25	(	(	PUNCT
ijassa-1504	150	26	2023	2023	NUM
ijassa-1504	150	27	)	)	PUNCT
ijassa-1504	150	28	.	.	PUNCT
ijassa-1504	151	1	contact	contact	NOUN
ijassa-1504	151	2	transformations	transformation	NOUN
ijassa-1504	151	3	in	in	ADP
ijassa-1504	151	4	theory	theory	NOUN
ijassa-1504	151	5	of	of	ADP
ijassa-1504	151	6	frontal	frontal	ADJ
ijassa-1504	151	7	oil	oil	NOUN
ijassa-1504	151	8	displacement	displacement	NOUN
ijassa-1504	151	9	,	,	PUNCT
ijassa-1504	151	10	lobachevskii	lobachevskii	ADJ
ijassa-1504	151	11	journal	journal	NOUN
ijassa-1504	151	12	of	of	ADP
ijassa-1504	151	13	mathematics	mathematics	PROPN
ijassa-1504	151	14	,	,	PUNCT
ijassa-1504	151	15	44(9	44(9	NOUN
ijassa-1504	151	16	)	)	PUNCT
ijassa-1504	151	17	,	,	PUNCT
ijassa-1504	151	18	3976–3980	3976–3980	NUM
ijassa-1504	151	19	.	.	NOUN
ijassa-1504	151	20	8	8	NUM
ijassa-1504	151	21	.	.	PUNCT
ijassa-1504	152	1	kushner	kushner	PROPN
ijassa-1504	152	2	,	,	PUNCT
ijassa-1504	152	3	a.	a.	NOUN
ijassa-1504	152	4	g.	g.	PROPN
ijassa-1504	152	5	(	(	PUNCT
ijassa-1504	152	6	2023	2023	NUM
ijassa-1504	152	7	)	)	PUNCT
ijassa-1504	152	8	.	.	PUNCT
ijassa-1504	153	1	dynamics	dynamic	NOUN
ijassa-1504	153	2	of	of	ADP
ijassa-1504	153	3	evolutionary	evolutionary	ADJ
ijassa-1504	153	4	differential	differential	NOUN
ijassa-1504	153	5	equations	equation	NOUN
ijassa-1504	153	6	with	with	ADP
ijassa-1504	153	7	several	several	ADJ
ijassa-1504	153	8	spatial	spatial	ADJ
ijassa-1504	153	9	variables	variable	NOUN
ijassa-1504	153	10	,	,	PUNCT
ijassa-1504	153	11	mathematics	mathematic	NOUN
ijassa-1504	153	12	,	,	PUNCT
ijassa-1504	153	13	11(2	11(2	NOUN
ijassa-1504	153	14	)	)	PUNCT
ijassa-1504	153	15	,	,	PUNCT
ijassa-1504	153	16	335–346	335–346	NUM
ijassa-1504	153	17	.	.	PUNCT
ijassa-1504	154	1	9	9	NUM
ijassa-1504	154	2	.	.	X
ijassa-1504	154	3	kushner	kushner	PROPN
ijassa-1504	154	4	,	,	PUNCT
ijassa-1504	154	5	a.	a.	PROPN
ijassa-1504	154	6	&	&	CCONJ
ijassa-1504	154	7	sinian	sinian	PROPN
ijassa-1504	154	8	,	,	PUNCT
ijassa-1504	154	9	t.	t.	PROPN
ijassa-1504	154	10	(	(	PUNCT
ijassa-1504	154	11	2023	2023	NUM
ijassa-1504	154	12	)	)	PUNCT
ijassa-1504	154	13	.	.	PUNCT
ijassa-1504	155	1	evolutionary	evolutionary	ADJ
ijassa-1504	155	2	systems	system	NOUN
ijassa-1504	155	3	and	and	CCONJ
ijassa-1504	155	4	flows	flow	NOUN
ijassa-1504	155	5	on	on	ADP
ijassa-1504	155	6	solutions	solution	NOUN
ijassa-1504	155	7	spaces	space	NOUN
ijassa-1504	155	8	of	of	ADP
ijassa-1504	155	9	finite	finite	ADJ
ijassa-1504	155	10	type	type	NOUN
ijassa-1504	155	11	equations	equation	NOUN
ijassa-1504	155	12	,	,	PUNCT
ijassa-1504	155	13	lobachevskii	lobachevskii	ADJ
ijassa-1504	155	14	journal	journal	NOUN
ijassa-1504	155	15	of	of	ADP
ijassa-1504	155	16	mathematics	mathematics	PROPN
ijassa-1504	155	17	,	,	PUNCT
ijassa-1504	155	18	44(9	44(9	NOUN
ijassa-1504	155	19	)	)	PUNCT
ijassa-1504	155	20	,	,	PUNCT
ijassa-1504	155	21	3945–3951	3945–3951	NUM
ijassa-1504	155	22	.	.	PUNCT
ijassa-1504	156	1	10	10	NUM
ijassa-1504	156	2	.	.	PUNCT
ijassa-1504	156	3	krasilshchik	krasilshchik	PROPN
ijassa-1504	156	4	,	,	PUNCT
ijassa-1504	156	5	i.	i.	PROPN
ijassa-1504	156	6	s.	s.	PROPN
ijassa-1504	156	7	,	,	PUNCT
ijassa-1504	156	8	lychagin	lychagin	NOUN
ijassa-1504	156	9	,	,	PUNCT
ijassa-1504	156	10	v.	v.	PROPN
ijassa-1504	156	11	v.	v.	PROPN
ijassa-1504	156	12	&	&	CCONJ
ijassa-1504	156	13	vinogradov	vinogradov	PROPN
ijassa-1504	156	14	,	,	PUNCT
ijassa-1504	156	15	a.	a.	NOUN
ijassa-1504	156	16	m.	m.	NOUN
ijassa-1504	156	17	(	(	PUNCT
ijassa-1504	156	18	1986	1986	NUM
ijassa-1504	156	19	)	)	PUNCT
ijassa-1504	156	20	.	.	PUNCT
ijassa-1504	157	1	geometry	geometry	NOUN
ijassa-1504	157	2	of	of	ADP
ijassa-1504	157	3	jet	jet	NOUN
ijassa-1504	157	4	spaces	space	NOUN
ijassa-1504	157	5	and	and	CCONJ
ijassa-1504	157	6	nonlinear	nonlinear	ADJ
ijassa-1504	157	7	partial	partial	ADJ
ijassa-1504	157	8	differential	differential	NOUN
ijassa-1504	157	9	equations	equation	NOUN
ijassa-1504	157	10	.	.	PUNCT
ijassa-1504	158	1	new	new	PROPN
ijassa-1504	158	2	york	york	PROPN
ijassa-1504	158	3	,	,	PUNCT
ijassa-1504	158	4	ny	ny	PROPN
ijassa-1504	158	5	:	:	PUNCT
ijassa-1504	158	6	gordon	gordon	PROPN
ijassa-1504	158	7	and	and	CCONJ
ijassa-1504	158	8	breach	breach	NOUN
ijassa-1504	158	9	.	.	PUNCT
ijassa-1504	159	1	11	11	NUM
ijassa-1504	159	2	.	.	PUNCT
ijassa-1504	160	1	kushner	kushner	PROPN
ijassa-1504	160	2	,	,	PUNCT
ijassa-1504	160	3	a.	a.	PROPN
ijassa-1504	160	4	g.	g.	PROPN
ijassa-1504	160	5	,	,	PUNCT
ijassa-1504	160	6	lychagin	lychagin	NOUN
ijassa-1504	160	7	,	,	PUNCT
ijassa-1504	160	8	v.	v.	PROPN
ijassa-1504	160	9	v.	v.	PROPN
ijassa-1504	160	10	&	&	CCONJ
ijassa-1504	160	11	rubtsov	rubtsov	PROPN
ijassa-1504	160	12	,	,	PUNCT
ijassa-1504	160	13	v.	v.	ADP
ijassa-1504	160	14	n.	n.	PROPN
ijassa-1504	160	15	(	(	PUNCT
ijassa-1504	160	16	2007	2007	NUM
ijassa-1504	160	17	)	)	PUNCT
ijassa-1504	160	18	.	.	PUNCT
ijassa-1504	161	1	contact	contact	NOUN
ijassa-1504	161	2	geometry	geometry	NOUN
ijassa-1504	161	3	and	and	CCONJ
ijassa-1504	161	4	nonlinear	nonlinear	ADJ
ijassa-1504	161	5	differential	differential	ADJ
ijassa-1504	161	6	equations	equation	NOUN
ijassa-1504	161	7	.	.	PUNCT
ijassa-1504	162	1	encyclopedia	encyclopedia	NOUN
ijassa-1504	162	2	of	of	ADP
ijassa-1504	162	3	mathematics	mathematic	NOUN
ijassa-1504	162	4	and	and	CCONJ
ijassa-1504	162	5	its	its	PRON
ijassa-1504	162	6	applications	application	NOUN
ijassa-1504	162	7	.	.	PUNCT
ijassa-1504	163	1	cambrigde	cambrigde	NOUN
ijassa-1504	163	2	,	,	PUNCT
ijassa-1504	163	3	uk	uk	PROPN
ijassa-1504	163	4	:	:	PUNCT
ijassa-1504	163	5	cambridge	cambridge	PROPN
ijassa-1504	163	6	university	university	PROPN
ijassa-1504	163	7	press	press	NOUN
ijassa-1504	163	8	.	.	PUNCT
ijassa-1504	164	1	12	12	NUM
ijassa-1504	164	2	.	.	PUNCT
ijassa-1504	165	1	kushner	kushner	PROPN
ijassa-1504	165	2	,	,	PUNCT
ijassa-1504	165	3	a.	a.	NOUN
ijassa-1504	165	4	g.	g.	PROPN
ijassa-1504	165	5	(	(	PUNCT
ijassa-1504	165	6	2008	2008	NUM
ijassa-1504	165	7	)	)	PUNCT
ijassa-1504	165	8	.	.	PUNCT
ijassa-1504	166	1	a	a	DET
ijassa-1504	166	2	contact	contact	NOUN
ijassa-1504	166	3	linearization	linearization	NOUN
ijassa-1504	166	4	problem	problem	NOUN
ijassa-1504	166	5	for	for	ADP
ijassa-1504	166	6	monge	monge	ADJ
ijassa-1504	166	7	–	–	PUNCT
ijassa-1504	166	8	ampere	ampere	NOUN
ijassa-1504	166	9	equations	equation	NOUN
ijassa-1504	166	10	and	and	CCONJ
ijassa-1504	166	11	laplace	laplace	NOUN
ijassa-1504	166	12	invariants	invariant	NOUN
ijassa-1504	166	13	,	,	PUNCT
ijassa-1504	166	14	acta	acta	PROPN
ijassa-1504	166	15	appl	appl	PROPN
ijassa-1504	166	16	.	.	PROPN
ijassa-1504	166	17	math	math	PROPN
ijassa-1504	166	18	,	,	PUNCT
ijassa-1504	166	19	101	101	NUM
ijassa-1504	166	20	,	,	PUNCT
ijassa-1504	166	21	177–189	177–189	NUM
ijassa-1504	166	22	.	.	NOUN
ijassa-1504	166	23	13	13	NUM
ijassa-1504	166	24	.	.	PUNCT
ijassa-1504	166	25	lychagin	lychagin	NOUN
ijassa-1504	166	26	,	,	PUNCT
ijassa-1504	166	27	v.	v.	PROPN
ijassa-1504	166	28	v.	v.	PROPN
ijassa-1504	166	29	(	(	PUNCT
ijassa-1504	166	30	1979	1979	NUM
ijassa-1504	166	31	)	)	PUNCT
ijassa-1504	166	32	.	.	PUNCT
ijassa-1504	167	1	contact	contact	NOUN
ijassa-1504	167	2	geometry	geometry	NOUN
ijassa-1504	167	3	and	and	CCONJ
ijassa-1504	167	4	non	non	ADJ
ijassa-1504	167	5	-	-	ADJ
ijassa-1504	167	6	linear	linear	ADJ
ijassa-1504	167	7	second	second	ADJ
ijassa-1504	167	8	-	-	PUNCT
ijassa-1504	167	9	order	order	NOUN
ijassa-1504	167	10	differential	differential	ADJ
ijassa-1504	167	11	equations	equation	NOUN
ijassa-1504	167	12	,	,	PUNCT
ijassa-1504	167	13	russian	russian	ADJ
ijassa-1504	167	14	math	math	NOUN
ijassa-1504	167	15	.	.	PUNCT
ijassa-1504	168	1	surveys	survey	NOUN
ijassa-1504	168	2	,	,	PUNCT
ijassa-1504	168	3	34(1	34(1	NUM
ijassa-1504	168	4	)	)	PUNCT
ijassa-1504	168	5	,	,	PUNCT
ijassa-1504	168	6	149–180	149–180	NUM
ijassa-1504	168	7	.	.	PUNCT
ijassa-1504	169	1	copyright	copyright	NOUN
ijassa-1504	169	2	©	©	PROPN
ijassa-1504	169	3	2023	2023	NUM
ijassa-1504	169	4	assa	assa	NOUN
ijassa-1504	169	5	.	.	PUNCT
ijassa-1504	170	1	adv	adv	PROPN
ijassa-1504	170	2	syst	syst	PROPN
ijassa-1504	170	3	sci	sci	PROPN
ijassa-1504	170	4	appl	appl	PROPN
ijassa-1504	170	5	(	(	PUNCT
ijassa-1504	170	6	2023	2023	NUM
ijassa-1504	170	7	)	)	PUNCT
ijassa-1504	170	8	introduction	introduction	NOUN
ijassa-1504	170	9	geometry	geometry	NOUN
ijassa-1504	170	10	of	of	ADP
ijassa-1504	170	11	the	the	DET
ijassa-1504	170	12	generalized	generalized	ADJ
ijassa-1504	170	13	hunter	hunter	NOUN
ijassa-1504	170	14	–	–	PUNCT
ijassa-1504	170	15	saxton	saxton	PROPN
ijassa-1504	170	16	–	–	PUNCT
ijassa-1504	170	17	calogero	calogero	PROPN
ijassa-1504	170	18	equation	equation	NOUN
ijassa-1504	170	19	visualization	visualization	NOUN