id	sid	tid	token	lemma	pos
ap-2073	1	1	acta	acta	PROPN
ap-2073	1	2	polytechnica	polytechnica	PROPN
ap-2073	1	3	doi:10.14311	doi:10.14311	PROPN
ap-2073	1	4	/	/	SYM
ap-2073	1	5	ap.2014.54.0079	ap.2014.54.0079	PROPN
ap-2073	1	6	acta	acta	PROPN
ap-2073	1	7	polytechnica	polytechnica	PROPN
ap-2073	1	8	54(2):79–84	54(2):79–84	NUM
ap-2073	1	9	,	,	PUNCT
ap-2073	1	10	2014	2014	NUM
ap-2073	1	11	©	©	PROPN
ap-2073	1	12	czech	czech	PROPN
ap-2073	1	13	technical	technical	PROPN
ap-2073	1	14	university	university	PROPN
ap-2073	1	15	in	in	ADP
ap-2073	1	16	prague	prague	PROPN
ap-2073	1	17	,	,	PUNCT
ap-2073	1	18	2014	2014	NUM
ap-2073	1	19	available	available	ADJ
ap-2073	1	20	online	online	ADV
ap-2073	1	21	at	at	ADP
ap-2073	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2073	1	23	tracking	track	VERB
ap-2073	1	24	down	down	ADP
ap-2073	1	25	localized	localize	VERB
ap-2073	1	26	modes	mode	NOUN
ap-2073	1	27	in	in	ADP
ap-2073	1	28	pt	pt	ADJ
ap-2073	1	29	-	-	ADJ
ap-2073	1	30	symmetric	symmetric	ADJ
ap-2073	1	31	hamiltonians	hamiltonian	NOUN
ap-2073	1	32	under	under	ADP
ap-2073	1	33	the	the	DET
ap-2073	1	34	influence	influence	NOUN
ap-2073	1	35	of	of	ADP
ap-2073	1	36	a	a	DET
ap-2073	1	37	competing	compete	VERB
ap-2073	1	38	nonlinearity	nonlinearity	NOUN
ap-2073	1	39	bijan	bijan	PROPN
ap-2073	1	40	bagchia,∗	bagchia,∗	NOUN
ap-2073	1	41	,	,	PUNCT
ap-2073	1	42	subhrajit	subhrajit	ADJ
ap-2073	1	43	modakb	modakb	NOUN
ap-2073	1	44	,	,	PUNCT
ap-2073	1	45	prasanta	prasanta	PROPN
ap-2073	1	46	k.	k.	PROPN
ap-2073	1	47	panigrahib	panigrahib	VERB
ap-2073	1	48	a	a	DET
ap-2073	1	49	department	department	NOUN
ap-2073	1	50	of	of	ADP
ap-2073	1	51	applied	apply	VERB
ap-2073	1	52	mathematics	mathematic	NOUN
ap-2073	1	53	,	,	PUNCT
ap-2073	1	54	university	university	NOUN
ap-2073	1	55	of	of	ADP
ap-2073	1	56	calcutta	calcutta	PROPN
ap-2073	1	57	,	,	PUNCT
ap-2073	1	58	92	92	NUM
ap-2073	1	59	acharya	acharya	NOUN
ap-2073	1	60	prafulla	prafulla	PROPN
ap-2073	1	61	chandra	chandra	PROPN
ap-2073	1	62	road	road	PROPN
ap-2073	1	63	,	,	PUNCT
ap-2073	1	64	kolkata-700	kolkata-700	PROPN
ap-2073	1	65	009	009	NUM
ap-2073	1	66	,	,	PUNCT
ap-2073	1	67	india	india	PROPN
ap-2073	1	68	b	b	PROPN
ap-2073	1	69	department	department	PROPN
ap-2073	1	70	of	of	ADP
ap-2073	1	71	physical	physical	ADJ
ap-2073	1	72	science	science	NOUN
ap-2073	1	73	,	,	PUNCT
ap-2073	1	74	indian	indian	PROPN
ap-2073	1	75	institute	institute	PROPN
ap-2073	1	76	of	of	ADP
ap-2073	1	77	science	science	PROPN
ap-2073	1	78	,	,	PUNCT
ap-2073	1	79	education	education	NOUN
ap-2073	1	80	and	and	CCONJ
ap-2073	1	81	research	research	NOUN
ap-2073	1	82	(	(	PUNCT
ap-2073	1	83	kolkata	kolkata	PROPN
ap-2073	1	84	)	)	PUNCT
ap-2073	1	85	,	,	PUNCT
ap-2073	1	86	mohanpur	mohanpur	ADJ
ap-2073	1	87	,	,	PUNCT
ap-2073	1	88	west	west	PROPN
ap-2073	1	89	bengal	bengal	PROPN
ap-2073	1	90	741	741	NUM
ap-2073	1	91	252	252	NUM
ap-2073	1	92	,	,	PUNCT
ap-2073	1	93	india	india	PROPN
ap-2073	1	94	∗	∗	NOUN
ap-2073	1	95	corresponding	correspond	VERB
ap-2073	1	96	author	author	NOUN
ap-2073	1	97	:	:	PUNCT
ap-2073	1	98	bbagchi123@rediffmail.com	bbagchi123@rediffmail.com	X
ap-2073	1	99	abstract	abstract	NOUN
ap-2073	1	100	.	.	PUNCT
ap-2073	2	1	the	the	DET
ap-2073	2	2	relevance	relevance	NOUN
ap-2073	2	3	of	of	ADP
ap-2073	2	4	parity	parity	NOUN
ap-2073	2	5	and	and	CCONJ
ap-2073	2	6	time	time	NOUN
ap-2073	2	7	reversal	reversal	NOUN
ap-2073	2	8	(	(	PUNCT
ap-2073	2	9	pt)-symmetric	pt)-symmetric	ADJ
ap-2073	2	10	structures	structure	NOUN
ap-2073	2	11	in	in	ADP
ap-2073	2	12	optical	optical	ADJ
ap-2073	2	13	systems	system	NOUN
ap-2073	2	14	has	have	AUX
ap-2073	2	15	been	be	AUX
ap-2073	2	16	known	know	VERB
ap-2073	2	17	for	for	ADP
ap-2073	2	18	some	some	DET
ap-2073	2	19	time	time	NOUN
ap-2073	2	20	with	with	ADP
ap-2073	2	21	the	the	DET
ap-2073	2	22	correspondence	correspondence	NOUN
ap-2073	2	23	existing	exist	VERB
ap-2073	2	24	between	between	ADP
ap-2073	2	25	the	the	DET
ap-2073	2	26	schrödinger	schrödinger	ADJ
ap-2073	2	27	equation	equation	NOUN
ap-2073	2	28	and	and	CCONJ
ap-2073	2	29	the	the	DET
ap-2073	2	30	paraxial	paraxial	ADJ
ap-2073	2	31	equation	equation	NOUN
ap-2073	2	32	of	of	ADP
ap-2073	2	33	diffraction	diffraction	NOUN
ap-2073	2	34	,	,	PUNCT
ap-2073	2	35	where	where	SCONJ
ap-2073	2	36	the	the	DET
ap-2073	2	37	time	time	NOUN
ap-2073	2	38	parameter	parameter	NOUN
ap-2073	2	39	represents	represent	VERB
ap-2073	2	40	the	the	DET
ap-2073	2	41	propagating	propagate	VERB
ap-2073	2	42	distance	distance	NOUN
ap-2073	2	43	and	and	CCONJ
ap-2073	2	44	the	the	DET
ap-2073	2	45	refractive	refractive	ADJ
ap-2073	2	46	index	index	NOUN
ap-2073	2	47	acts	act	VERB
ap-2073	2	48	as	as	ADP
ap-2073	2	49	the	the	DET
ap-2073	2	50	complex	complex	ADJ
ap-2073	2	51	potential	potential	NOUN
ap-2073	2	52	.	.	PUNCT
ap-2073	3	1	in	in	ADP
ap-2073	3	2	this	this	DET
ap-2073	3	3	paper	paper	NOUN
ap-2073	3	4	,	,	PUNCT
ap-2073	3	5	we	we	PRON
ap-2073	3	6	systematically	systematically	ADV
ap-2073	3	7	analyze	analyze	VERB
ap-2073	3	8	a	a	DET
ap-2073	3	9	normalized	normalize	VERB
ap-2073	3	10	form	form	NOUN
ap-2073	3	11	of	of	ADP
ap-2073	3	12	the	the	DET
ap-2073	3	13	nonlinear	nonlinear	ADJ
ap-2073	3	14	schrödinger	schrödinger	ADJ
ap-2073	3	15	system	system	NOUN
ap-2073	3	16	with	with	ADP
ap-2073	3	17	two	two	NUM
ap-2073	3	18	new	new	ADJ
ap-2073	3	19	families	family	NOUN
ap-2073	3	20	of	of	ADP
ap-2073	3	21	pt	pt	ADJ
ap-2073	3	22	-	-	ADJ
ap-2073	3	23	symmetric	symmetric	ADJ
ap-2073	3	24	potentials	potential	NOUN
ap-2073	3	25	in	in	ADP
ap-2073	3	26	the	the	DET
ap-2073	3	27	presence	presence	NOUN
ap-2073	3	28	of	of	ADP
ap-2073	3	29	competing	compete	VERB
ap-2073	3	30	nonlinearities	nonlinearitie	NOUN
ap-2073	3	31	.	.	PUNCT
ap-2073	4	1	we	we	PRON
ap-2073	4	2	generate	generate	VERB
ap-2073	4	3	a	a	DET
ap-2073	4	4	class	class	NOUN
ap-2073	4	5	of	of	ADP
ap-2073	4	6	localized	localized	ADJ
ap-2073	4	7	eigenmodes	eigenmode	NOUN
ap-2073	4	8	and	and	CCONJ
ap-2073	4	9	carry	carry	VERB
ap-2073	4	10	out	out	ADP
ap-2073	4	11	a	a	DET
ap-2073	4	12	linear	linear	ADJ
ap-2073	4	13	stability	stability	NOUN
ap-2073	4	14	analysis	analysis	NOUN
ap-2073	4	15	on	on	ADP
ap-2073	4	16	the	the	DET
ap-2073	4	17	solutions	solution	NOUN
ap-2073	4	18	.	.	PUNCT
ap-2073	5	1	in	in	ADP
ap-2073	5	2	particular	particular	ADJ
ap-2073	5	3	,	,	PUNCT
ap-2073	5	4	we	we	PRON
ap-2073	5	5	find	find	VERB
ap-2073	5	6	an	an	DET
ap-2073	5	7	interesting	interesting	ADJ
ap-2073	5	8	feature	feature	NOUN
ap-2073	5	9	of	of	ADP
ap-2073	5	10	bifurcation	bifurcation	NOUN
ap-2073	5	11	characterized	characterize	VERB
ap-2073	5	12	by	by	ADP
ap-2073	5	13	the	the	DET
ap-2073	5	14	parameter	parameter	NOUN
ap-2073	5	15	of	of	ADP
ap-2073	5	16	perturbative	perturbative	ADJ
ap-2073	5	17	growth	growth	NOUN
ap-2073	5	18	rate	rate	NOUN
ap-2073	5	19	passing	pass	VERB
ap-2073	5	20	through	through	ADP
ap-2073	5	21	zero	zero	NUM
ap-2073	5	22	,	,	PUNCT
ap-2073	5	23	where	where	SCONJ
ap-2073	5	24	a	a	DET
ap-2073	5	25	transition	transition	NOUN
ap-2073	5	26	to	to	ADP
ap-2073	5	27	imaginary	imaginary	ADJ
ap-2073	5	28	eigenvalues	eigenvalue	NOUN
ap-2073	5	29	occurs	occur	VERB
ap-2073	5	30	.	.	PUNCT
ap-2073	6	1	keywords	keyword	NOUN
ap-2073	6	2	:	:	PUNCT
ap-2073	6	3	nonlinear	nonlinear	ADJ
ap-2073	6	4	schrödinger	schrödinger	ADJ
ap-2073	6	5	equation	equation	NOUN
ap-2073	6	6	,	,	PUNCT
ap-2073	6	7	pt	pt	NOUN
ap-2073	6	8	-	-	PUNCT
ap-2073	6	9	symmetry	symmetry	NOUN
ap-2073	6	10	,	,	PUNCT
ap-2073	6	11	competing	compete	VERB
ap-2073	6	12	nonlinearity	nonlinearity	NOUN
ap-2073	6	13	.	.	PUNCT
ap-2073	7	1	1	1	X
ap-2073	7	2	.	.	X
ap-2073	7	3	introduction	introduction	NOUN
ap-2073	7	4	following	follow	VERB
ap-2073	7	5	bender	bender	NOUN
ap-2073	7	6	and	and	CCONJ
ap-2073	7	7	boettcher	boettcher	PROPN
ap-2073	7	8	’s	’s	PART
ap-2073	7	9	seminal	seminal	ADJ
ap-2073	7	10	paper	paper	NOUN
ap-2073	8	1	[	[	X
ap-2073	8	2	1	1	NUM
ap-2073	8	3	]	]	PUNCT
ap-2073	8	4	,	,	PUNCT
ap-2073	8	5	in	in	ADP
ap-2073	8	6	which	which	PRON
ap-2073	8	7	they	they	PRON
ap-2073	8	8	offered	offer	VERB
ap-2073	8	9	the	the	DET
ap-2073	8	10	first	first	ADJ
ap-2073	8	11	coherent	coherent	ADJ
ap-2073	8	12	explanation	explanation	NOUN
ap-2073	8	13	of	of	ADP
ap-2073	8	14	a	a	DET
ap-2073	8	15	special	special	ADJ
ap-2073	8	16	class	class	NOUN
ap-2073	8	17	of	of	ADP
ap-2073	8	18	non	non	ADJ
ap-2073	8	19	-	-	ADJ
ap-2073	8	20	hermitian	hermitian	ADJ
ap-2073	8	21	but	but	CCONJ
ap-2073	8	22	parity	parity	NOUN
ap-2073	8	23	and	and	CCONJ
ap-2073	8	24	timereversal	timereversal	NOUN
ap-2073	8	25	(	(	PUNCT
ap-2073	8	26	pt)-symmetric	pt)-symmetric	ADJ
ap-2073	8	27	hamiltonians	hamiltonian	NOUN
ap-2073	8	28	to	to	PART
ap-2073	8	29	possess	possess	VERB
ap-2073	8	30	a	a	DET
ap-2073	8	31	real	real	ADJ
ap-2073	8	32	bound	bind	VERB
ap-2073	8	33	-	-	PUNCT
ap-2073	8	34	state	state	NOUN
ap-2073	8	35	spectrum	spectrum	NOUN
ap-2073	8	36	,	,	PUNCT
ap-2073	8	37	the	the	DET
ap-2073	8	38	last	last	ADJ
ap-2073	8	39	decade	decade	NOUN
ap-2073	8	40	has	have	AUX
ap-2073	8	41	witnessed	witness	VERB
ap-2073	8	42	extensive	extensive	ADJ
ap-2073	8	43	theoretical	theoretical	ADJ
ap-2073	8	44	work	work	NOUN
ap-2073	8	45	[	[	X
ap-2073	8	46	2–4	2–4	X
ap-2073	8	47	]	]	X
ap-2073	8	48	being	be	AUX
ap-2073	8	49	devoted	devote	VERB
ap-2073	8	50	to	to	ADP
ap-2073	8	51	this	this	DET
ap-2073	8	52	growing	grow	VERB
ap-2073	8	53	field	field	NOUN
ap-2073	8	54	of	of	ADP
ap-2073	8	55	research	research	NOUN
ap-2073	8	56	.	.	PUNCT
ap-2073	9	1	the	the	DET
ap-2073	9	2	interplay	interplay	NOUN
ap-2073	9	3	between	between	ADP
ap-2073	9	4	the	the	DET
ap-2073	9	5	parametric	parametric	ADJ
ap-2073	9	6	regions	region	NOUN
ap-2073	9	7	where	where	SCONJ
ap-2073	9	8	pt	pt	PROPN
ap-2073	9	9	is	be	AUX
ap-2073	9	10	unbroken	unbroken	ADJ
ap-2073	9	11	and	and	CCONJ
ap-2073	9	12	the	the	DET
ap-2073	9	13	regions	region	NOUN
ap-2073	9	14	in	in	ADP
ap-2073	9	15	which	which	PRON
ap-2073	9	16	pt	pt	NOUN
ap-2073	9	17	is	be	AUX
ap-2073	9	18	broken	break	VERB
ap-2073	9	19	as	as	SCONJ
ap-2073	9	20	signaled	signal	VERB
ap-2073	9	21	by	by	ADP
ap-2073	9	22	the	the	DET
ap-2073	9	23	appearance	appearance	NOUN
ap-2073	9	24	of	of	ADP
ap-2073	9	25	conjugate	conjugate	ADJ
ap-2073	9	26	-	-	PUNCT
ap-2073	9	27	complex	complex	NOUN
ap-2073	9	28	eigenvalues	eigenvalue	NOUN
ap-2073	9	29	(	(	PUNCT
ap-2073	9	30	see	see	VERB
ap-2073	9	31	,	,	PUNCT
ap-2073	9	32	for	for	ADP
ap-2073	9	33	example	example	NOUN
ap-2073	9	34	,	,	PUNCT
ap-2073	9	35	[	[	X
ap-2073	9	36	5–7	5–7	NOUN
ap-2073	9	37	]	]	PUNCT
ap-2073	9	38	)	)	PUNCT
ap-2073	9	39	has	have	AUX
ap-2073	9	40	for	for	ADP
ap-2073	9	41	some	some	DET
ap-2073	9	42	time	time	NOUN
ap-2073	9	43	found	find	VERB
ap-2073	9	44	repeated	repeat	VERB
ap-2073	9	45	experimental	experimental	ADJ
ap-2073	9	46	support	support	NOUN
ap-2073	9	47	[	[	X
ap-2073	9	48	8–17	8–17	NOUN
ap-2073	9	49	]	]	PUNCT
ap-2073	9	50	as	as	SCONJ
ap-2073	9	51	evidenced	evidence	VERB
ap-2073	9	52	by	by	ADP
ap-2073	9	53	the	the	DET
ap-2073	9	54	observations	observation	NOUN
ap-2073	9	55	of	of	ADP
ap-2073	9	56	a	a	DET
ap-2073	9	57	phase	phase	NOUN
ap-2073	9	58	transition	transition	NOUN
ap-2073	9	59	that	that	PRON
ap-2073	9	60	clearly	clearly	ADV
ap-2073	9	61	marks	mark	VERB
ap-2073	9	62	out	out	ADP
ap-2073	9	63	the	the	DET
ap-2073	9	64	separation	separation	NOUN
ap-2073	9	65	of	of	ADP
ap-2073	9	66	these	these	DET
ap-2073	9	67	regions	region	NOUN
ap-2073	9	68	.	.	PUNCT
ap-2073	10	1	it	it	PRON
ap-2073	10	2	is	be	AUX
ap-2073	10	3	useful	useful	ADJ
ap-2073	10	4	to	to	PART
ap-2073	10	5	bear	bear	VERB
ap-2073	10	6	in	in	ADP
ap-2073	10	7	mind	mind	NOUN
ap-2073	10	8	that	that	SCONJ
ap-2073	10	9	the	the	DET
ap-2073	10	10	analytical	analytical	ADJ
ap-2073	10	11	studies	study	NOUN
ap-2073	10	12	in	in	ADP
ap-2073	10	13	this	this	DET
ap-2073	10	14	regard	regard	NOUN
ap-2073	10	15	have	have	AUX
ap-2073	10	16	mostly	mostly	ADV
ap-2073	10	17	been	be	AUX
ap-2073	10	18	carried	carry	VERB
ap-2073	10	19	out	out	ADP
ap-2073	10	20	for	for	ADP
ap-2073	10	21	the	the	DET
ap-2073	10	22	linear	linear	ADJ
ap-2073	10	23	domain	domain	NOUN
ap-2073	10	24	.	.	PUNCT
ap-2073	11	1	of	of	ADP
ap-2073	11	2	late	late	ADV
ap-2073	11	3	,	,	PUNCT
ap-2073	11	4	the	the	DET
ap-2073	11	5	relevance	relevance	NOUN
ap-2073	11	6	of	of	ADP
ap-2073	11	7	pt	pt	NOUN
ap-2073	11	8	-	-	PUNCT
ap-2073	11	9	structure	structure	NOUN
ap-2073	11	10	has	have	AUX
ap-2073	11	11	been	be	AUX
ap-2073	11	12	noticed	notice	VERB
ap-2073	11	13	in	in	ADP
ap-2073	11	14	various	various	ADJ
ap-2073	11	15	optical	optical	ADJ
ap-2073	11	16	systems	system	NOUN
ap-2073	11	17	and	and	CCONJ
ap-2073	11	18	interesting	interesting	ADJ
ap-2073	11	19	features	feature	NOUN
ap-2073	11	20	have	have	AUX
ap-2073	11	21	been	be	AUX
ap-2073	11	22	seen	see	VERB
ap-2073	11	23	such	such	ADJ
ap-2073	11	24	as	as	ADP
ap-2073	11	25	,	,	PUNCT
ap-2073	11	26	for	for	ADP
ap-2073	11	27	example	example	NOUN
ap-2073	11	28	,	,	PUNCT
ap-2073	11	29	power	power	NOUN
ap-2073	11	30	oscillations	oscillation	NOUN
ap-2073	12	1	[	[	X
ap-2073	12	2	9	9	NUM
ap-2073	12	3	]	]	PUNCT
ap-2073	12	4	,	,	PUNCT
ap-2073	12	5	unidirectional	unidirectional	ADJ
ap-2073	12	6	invisibilty	invisibilty	NOUN
ap-2073	13	1	[	[	X
ap-2073	13	2	13	13	NUM
ap-2073	13	3	]	]	PUNCT
ap-2073	13	4	,	,	PUNCT
ap-2073	13	5	coherent	coherent	ADJ
ap-2073	13	6	perfect	perfect	ADJ
ap-2073	13	7	absorber	absorber	NOUN
ap-2073	13	8	[	[	X
ap-2073	13	9	12	12	NUM
ap-2073	13	10	,	,	PUNCT
ap-2073	13	11	18	18	NUM
ap-2073	13	12	]	]	PUNCT
ap-2073	13	13	,	,	PUNCT
ap-2073	13	14	giant	giant	ADJ
ap-2073	13	15	wave	wave	NOUN
ap-2073	13	16	amplification	amplification	NOUN
ap-2073	13	17	[	[	X
ap-2073	13	18	19	19	NUM
ap-2073	13	19	]	]	PUNCT
ap-2073	13	20	and	and	CCONJ
ap-2073	13	21	realiztion	realiztion	NOUN
ap-2073	13	22	through	through	ADP
ap-2073	13	23	electromagnetically	electromagnetically	ADV
ap-2073	13	24	induced	induce	VERB
ap-2073	13	25	transparency	transparency	NOUN
ap-2073	13	26	[	[	X
ap-2073	13	27	20	20	NUM
ap-2073	13	28	]	]	PUNCT
ap-2073	13	29	.	.	PUNCT
ap-2073	14	1	in	in	ADP
ap-2073	14	2	optical	optical	ADJ
ap-2073	14	3	systems	system	NOUN
ap-2073	14	4	,	,	PUNCT
ap-2073	14	5	ptsymmetry	ptsymmetry	NOUN
ap-2073	14	6	has	have	VERB
ap-2073	14	7	the	the	DET
ap-2073	14	8	implication	implication	NOUN
ap-2073	14	9	that	that	SCONJ
ap-2073	14	10	the	the	DET
ap-2073	14	11	index	index	NOUN
ap-2073	14	12	guiding	guide	VERB
ap-2073	14	13	part	part	NOUN
ap-2073	14	14	nr(x	nr(x	NUM
ap-2073	14	15	)	)	PUNCT
ap-2073	14	16	and	and	CCONJ
ap-2073	14	17	the	the	DET
ap-2073	14	18	gain	gain	NOUN
ap-2073	14	19	/	/	SYM
ap-2073	14	20	loss	loss	NOUN
ap-2073	14	21	profile	profile	NOUN
ap-2073	14	22	ni(x	ni(x	NUM
ap-2073	14	23	)	)	PUNCT
ap-2073	14	24	of	of	ADP
ap-2073	14	25	the	the	DET
ap-2073	14	26	complex	complex	ADJ
ap-2073	14	27	refractive	refractive	ADJ
ap-2073	14	28	index	index	NOUN
ap-2073	14	29	n(x	n(x	NOUN
ap-2073	14	30	)	)	PUNCT
ap-2073	14	31	=	=	SYM
ap-2073	14	32	nr(x	nr(x	NUM
ap-2073	14	33	)	)	PUNCT
ap-2073	14	34	+	+	CCONJ
ap-2073	14	35	ini(x	ini(x	X
ap-2073	14	36	)	)	PUNCT
ap-2073	14	37	obey	obey	VERB
ap-2073	14	38	the	the	DET
ap-2073	14	39	symmetric	symmetric	ADJ
ap-2073	14	40	nr(x	nr(x	NUM
ap-2073	14	41	)	)	PUNCT
ap-2073	14	42	=	=	SYM
ap-2073	14	43	nr(−x	nr(−x	NOUN
ap-2073	14	44	)	)	PUNCT
ap-2073	14	45	and	and	CCONJ
ap-2073	14	46	antisymmetric	antisymmetric	ADJ
ap-2073	14	47	ni(x	ni(x	NUM
ap-2073	14	48	)	)	PUNCT
ap-2073	14	49	=	=	SYM
ap-2073	15	1	−ni(−x	−ni(−x	NUM
ap-2073	15	2	)	)	PUNCT
ap-2073	15	3	combinations	combination	NOUN
ap-2073	15	4	(	(	PUNCT
ap-2073	15	5	see	see	VERB
ap-2073	15	6	,	,	PUNCT
ap-2073	15	7	for	for	ADP
ap-2073	15	8	example	example	NOUN
ap-2073	15	9	,	,	PUNCT
ap-2073	15	10	[	[	X
ap-2073	15	11	21–23	21–23	NUM
ap-2073	15	12	]	]	NUM
ap-2073	15	13	)	)	PUNCT
ap-2073	15	14	.	.	PUNCT
ap-2073	16	1	balancing	balance	VERB
ap-2073	16	2	gain	gain	NOUN
ap-2073	16	3	and	and	CCONJ
ap-2073	16	4	loss	loss	NOUN
ap-2073	16	5	[	[	X
ap-2073	16	6	24–27	24–27	NUM
ap-2073	16	7	]	]	PUNCT
ap-2073	16	8	is	be	AUX
ap-2073	16	9	an	an	DET
ap-2073	16	10	interesting	interesting	ADJ
ap-2073	16	11	curiosity	curiosity	NOUN
ap-2073	16	12	towards	towards	ADP
ap-2073	16	13	experimental	experimental	ADJ
ap-2073	16	14	realization	realization	NOUN
ap-2073	16	15	of	of	ADP
ap-2073	16	16	pt	pt	ADJ
ap-2073	16	17	-	-	ADJ
ap-2073	16	18	symmetric	symmetric	ADJ
ap-2073	16	19	hamiltonians	hamiltonian	NOUN
ap-2073	16	20	.	.	PUNCT
ap-2073	17	1	against	against	ADP
ap-2073	17	2	the	the	DET
ap-2073	17	3	background	background	NOUN
ap-2073	17	4	of	of	ADP
ap-2073	17	5	the	the	DET
ap-2073	17	6	experimental	experimental	ADJ
ap-2073	17	7	findings	finding	NOUN
ap-2073	17	8	,	,	PUNCT
ap-2073	17	9	musslimani	musslimani	PROPN
ap-2073	17	10	et	et	PROPN
ap-2073	17	11	al	al	PROPN
ap-2073	18	1	[	[	X
ap-2073	18	2	24	24	NUM
ap-2073	18	3	,	,	PUNCT
ap-2073	18	4	25	25	NUM
ap-2073	18	5	]	]	PUNCT
ap-2073	18	6	have	have	AUX
ap-2073	18	7	reported	report	VERB
ap-2073	18	8	optical	optical	ADJ
ap-2073	18	9	solitons	soliton	NOUN
ap-2073	18	10	in	in	ADP
ap-2073	18	11	pt	pt	ADJ
ap-2073	18	12	-	-	ADJ
ap-2073	18	13	periodic	periodic	ADJ
ap-2073	18	14	potentials	potential	NOUN
ap-2073	18	15	which	which	PRON
ap-2073	18	16	are	be	AUX
ap-2073	18	17	stable	stable	ADJ
ap-2073	18	18	over	over	ADP
ap-2073	18	19	a	a	DET
ap-2073	18	20	wide	wide	ADJ
ap-2073	18	21	range	range	NOUN
ap-2073	18	22	of	of	ADP
ap-2073	18	23	potential	potential	ADJ
ap-2073	18	24	parameters	parameter	NOUN
ap-2073	18	25	.	.	PUNCT
ap-2073	19	1	specifically	specifically	ADV
ap-2073	19	2	they	they	PRON
ap-2073	19	3	have	have	AUX
ap-2073	19	4	considered	consider	VERB
ap-2073	19	5	optical	optical	ADJ
ap-2073	19	6	wave	wave	NOUN
ap-2073	19	7	propagation	propagation	NOUN
ap-2073	19	8	with	with	ADP
ap-2073	19	9	the	the	DET
ap-2073	19	10	beam	beam	NOUN
ap-2073	19	11	evolution	evolution	NOUN
ap-2073	19	12	being	be	AUX
ap-2073	19	13	controlled	control	VERB
ap-2073	19	14	by	by	ADP
ap-2073	19	15	a	a	DET
ap-2073	19	16	normalized	normalize	VERB
ap-2073	19	17	nonlinear	nonlinear	ADJ
ap-2073	19	18	schrödinger	schrödinger	NOUN
ap-2073	19	19	(	(	PUNCT
ap-2073	19	20	nls	nls	NOUN
ap-2073	19	21	)	)	PUNCT
ap-2073	19	22	equation	equation	NOUN
ap-2073	19	23	defined	define	VERB
ap-2073	19	24	in	in	ADP
ap-2073	19	25	terms	term	NOUN
ap-2073	19	26	of	of	ADP
ap-2073	19	27	an	an	DET
ap-2073	19	28	electric	electric	ADJ
ap-2073	19	29	field	field	NOUN
ap-2073	19	30	envelop	envelop	VERB
ap-2073	19	31	and	and	CCONJ
ap-2073	19	32	a	a	DET
ap-2073	19	33	scaled	scale	VERB
ap-2073	19	34	propagation	propagation	NOUN
ap-2073	19	35	distance	distance	NOUN
ap-2073	19	36	.	.	PUNCT
ap-2073	20	1	indeed	indeed	ADV
ap-2073	20	2	,	,	PUNCT
ap-2073	20	3	the	the	DET
ap-2073	20	4	generalized	generalized	ADJ
ap-2073	20	5	nls	nls	NOUN
ap-2073	20	6	that	that	SCONJ
ap-2073	20	7	they	they	PRON
ap-2073	20	8	consider	consider	VERB
ap-2073	20	9	,	,	PUNCT
ap-2073	20	10	in	in	ADP
ap-2073	20	11	the	the	DET
ap-2073	20	12	presence	presence	NOUN
ap-2073	20	13	of	of	ADP
ap-2073	20	14	a	a	DET
ap-2073	20	15	pt	pt	ADJ
ap-2073	20	16	-	-	ADJ
ap-2073	20	17	symmetric	symmetric	ADJ
ap-2073	20	18	potential	potential	NOUN
ap-2073	20	19	,	,	PUNCT
ap-2073	20	20	is	be	AUX
ap-2073	20	21	given	give	VERB
ap-2073	20	22	by	by	ADP
ap-2073	20	23	iψz	iψz	NOUN
ap-2073	20	24	+	+	CCONJ
ap-2073	20	25	ψxx	ψxx	NOUN
ap-2073	21	1	+	+	CCONJ
ap-2073	21	2	[	[	PUNCT
ap-2073	21	3	v	v	NOUN
ap-2073	21	4	(	(	PUNCT
ap-2073	21	5	x	x	NOUN
ap-2073	21	6	)	)	PUNCT
ap-2073	22	1	+	+	CCONJ
ap-2073	22	2	iw	iw	INTJ
ap-2073	22	3	(	(	PUNCT
ap-2073	22	4	x	x	NOUN
ap-2073	22	5	)	)	PUNCT
ap-2073	22	6	]	]	PUNCT
ap-2073	22	7	ψ	ψ	X
ap-2073	22	8	+	+	X
ap-2073	22	9	g|ψ|2ψ	g|ψ|2ψ	X
ap-2073	22	10	=	=	SYM
ap-2073	22	11	0	0	NUM
ap-2073	22	12	,	,	PUNCT
ap-2073	22	13	(	(	PUNCT
ap-2073	22	14	1	1	X
ap-2073	22	15	)	)	PUNCT
ap-2073	22	16	with	with	ADP
ap-2073	22	17	the	the	DET
ap-2073	22	18	pt	pt	ADJ
ap-2073	22	19	-	-	ADJ
ap-2073	22	20	symmetric	symmetric	ADJ
ap-2073	22	21	potential	potential	NOUN
ap-2073	22	22	possessing	possess	VERB
ap-2073	22	23	the	the	DET
ap-2073	22	24	usual	usual	ADJ
ap-2073	22	25	properties	property	NOUN
ap-2073	22	26	[	[	X
ap-2073	22	27	28	28	NUM
ap-2073	22	28	]	]	SYM
ap-2073	22	29	v	v	NOUN
ap-2073	22	30	(	(	PUNCT
ap-2073	22	31	−x	−x	NOUN
ap-2073	22	32	)	)	PUNCT
ap-2073	22	33	=	=	SYM
ap-2073	22	34	v	v	X
ap-2073	22	35	(	(	PUNCT
ap-2073	22	36	x	x	NOUN
ap-2073	22	37	)	)	PUNCT
ap-2073	22	38	and	and	CCONJ
ap-2073	22	39	w	w	PROPN
ap-2073	22	40	(	(	PUNCT
ap-2073	22	41	−x	−x	NOUN
ap-2073	22	42	)	)	PUNCT
ap-2073	22	43	=	=	SYM
ap-2073	22	44	−w	−w	ADV
ap-2073	22	45	(	(	PUNCT
ap-2073	22	46	x	x	NOUN
ap-2073	22	47	)	)	PUNCT
ap-2073	22	48	.	.	PUNCT
ap-2073	23	1	in	in	ADP
ap-2073	23	2	(	(	PUNCT
ap-2073	23	3	1	1	NUM
ap-2073	23	4	)	)	PUNCT
ap-2073	23	5	,	,	PUNCT
ap-2073	23	6	ψ	ψ	PROPN
ap-2073	23	7	represents	represent	VERB
ap-2073	23	8	the	the	DET
ap-2073	23	9	electric	electric	ADJ
ap-2073	23	10	field	field	NOUN
ap-2073	23	11	envelope	envelope	NOUN
ap-2073	23	12	,	,	PUNCT
ap-2073	23	13	z	z	PROPN
ap-2073	23	14	is	be	AUX
ap-2073	23	15	a	a	DET
ap-2073	23	16	scaled	scale	VERB
ap-2073	23	17	propagation	propagation	NOUN
ap-2073	23	18	distance	distance	NOUN
ap-2073	23	19	and	and	CCONJ
ap-2073	23	20	g	g	NOUN
ap-2073	23	21	=	=	SYM
ap-2073	23	22	1	1	NUM
ap-2073	23	23	or	or	CCONJ
ap-2073	23	24	−1	−1	NOUN
ap-2073	23	25	corresponds	correspond	VERB
ap-2073	23	26	to	to	ADP
ap-2073	23	27	a	a	DET
ap-2073	23	28	self	self	NOUN
ap-2073	23	29	-	-	PUNCT
ap-2073	23	30	focussing	focussing	NOUN
ap-2073	23	31	or	or	CCONJ
ap-2073	23	32	a	a	DET
ap-2073	23	33	defocussing	defocusse	VERB
ap-2073	23	34	nonlinearity	nonlinearity	NOUN
ap-2073	23	35	.	.	PUNCT
ap-2073	24	1	further	far	ADV
ap-2073	24	2	,	,	PUNCT
ap-2073	24	3	the	the	DET
ap-2073	24	4	ψxx	ψxx	NOUN
ap-2073	24	5	term	term	NOUN
ap-2073	24	6	describes	describe	VERB
ap-2073	24	7	the	the	DET
ap-2073	24	8	optical	optical	ADJ
ap-2073	24	9	diffraction	diffraction	NOUN
ap-2073	24	10	,	,	PUNCT
ap-2073	24	11	v	v	NOUN
ap-2073	24	12	(	(	PUNCT
ap-2073	24	13	x	x	X
ap-2073	24	14	)	)	PUNCT
ap-2073	24	15	is	be	AUX
ap-2073	24	16	the	the	DET
ap-2073	24	17	index	index	NOUN
ap-2073	24	18	guiding	guiding	NOUN
ap-2073	24	19	and	and	CCONJ
ap-2073	24	20	w	w	PROPN
ap-2073	24	21	(	(	PUNCT
ap-2073	24	22	x	x	X
ap-2073	24	23	)	)	PUNCT
ap-2073	24	24	represents	represent	VERB
ap-2073	24	25	the	the	DET
ap-2073	24	26	gain	gain	NOUN
ap-2073	24	27	/	/	SYM
ap-2073	24	28	loss	loss	NOUN
ap-2073	24	29	distribution	distribution	NOUN
ap-2073	24	30	of	of	ADP
ap-2073	24	31	the	the	DET
ap-2073	24	32	optical	optical	ADJ
ap-2073	24	33	potential	potential	NOUN
ap-2073	24	34	.	.	PUNCT
ap-2073	25	1	musslimani	musslimani	PROPN
ap-2073	25	2	et	et	PROPN
ap-2073	25	3	al	al	PROPN
ap-2073	26	1	[	[	X
ap-2073	26	2	24	24	NUM
ap-2073	26	3	,	,	PUNCT
ap-2073	26	4	25	25	NUM
ap-2073	26	5	]	]	PUNCT
ap-2073	26	6	studied	study	VERB
ap-2073	26	7	nonlinear	nonlinear	ADJ
ap-2073	26	8	stationary	stationary	ADJ
ap-2073	26	9	solutions	solution	NOUN
ap-2073	26	10	of	of	ADP
ap-2073	26	11	the	the	DET
ap-2073	26	12	form	form	NOUN
ap-2073	26	13	ψ(x	ψ(x	NOUN
ap-2073	26	14	,	,	PUNCT
ap-2073	26	15	z	z	NOUN
ap-2073	26	16	)	)	PUNCT
ap-2073	26	17	=	=	SYM
ap-2073	26	18	φ(x	φ(x	NOUN
ap-2073	26	19	)	)	PUNCT
ap-2073	26	20	exp(iλz	exp(iλz	ADV
ap-2073	26	21	)	)	PUNCT
ap-2073	26	22	,	,	PUNCT
ap-2073	27	1	λ	λ	X
ap-2073	27	2	being	be	AUX
ap-2073	27	3	a	a	DET
ap-2073	27	4	real	real	ADJ
ap-2073	27	5	propagation	propagation	NOUN
ap-2073	27	6	constant	constant	ADJ
ap-2073	27	7	and	and	CCONJ
ap-2073	27	8	φ	φ	PROPN
ap-2073	27	9	is	be	AUX
ap-2073	27	10	the	the	DET
ap-2073	27	11	signature	signature	NOUN
ap-2073	27	12	of	of	ADP
ap-2073	27	13	the	the	DET
ap-2073	27	14	nonlinear	nonlinear	NOUN
ap-2073	27	15	eigenmode	eigenmode	NOUN
ap-2073	27	16	.	.	PUNCT
ap-2073	28	1	in	in	ADP
ap-2073	28	2	the	the	DET
ap-2073	28	3	context	context	NOUN
ap-2073	28	4	of	of	ADP
ap-2073	28	5	nonlinear	nonlinear	ADJ
ap-2073	28	6	optics	optic	NOUN
ap-2073	28	7	,	,	PUNCT
ap-2073	28	8	localised	localised	ADJ
ap-2073	28	9	modes	mode	NOUN
ap-2073	28	10	are	be	AUX
ap-2073	28	11	either	either	CCONJ
ap-2073	28	12	temporal	temporal	ADJ
ap-2073	28	13	or	or	CCONJ
ap-2073	28	14	spatial	spatial	ADJ
ap-2073	28	15	depending	depend	VERB
ap-2073	28	16	on	on	ADP
ap-2073	28	17	whether	whether	SCONJ
ap-2073	28	18	the	the	DET
ap-2073	28	19	confinement	confinement	NOUN
ap-2073	28	20	of	of	ADP
ap-2073	28	21	light	light	NOUN
ap-2073	28	22	occurs	occur	VERB
ap-2073	28	23	in	in	ADP
ap-2073	28	24	time	time	NOUN
ap-2073	28	25	or	or	CCONJ
ap-2073	28	26	space	space	NOUN
ap-2073	28	27	during	during	ADP
ap-2073	28	28	wave	wave	NOUN
ap-2073	28	29	79	79	NUM
ap-2073	28	30	http://dx.doi.org/10.14311/ap.2014.54.0079	http://dx.doi.org/10.14311/ap.2014.54.0079	SYM
ap-2073	28	31	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2073	28	32	b.	b.	PROPN
ap-2073	28	33	bagchi	bagchi	PROPN
ap-2073	28	34	,	,	PUNCT
ap-2073	28	35	s.	s.	PROPN
ap-2073	28	36	modak	modak	PROPN
ap-2073	28	37	,	,	PUNCT
ap-2073	29	1	p.	p.	PROPN
ap-2073	29	2	k.	k.	PROPN
ap-2073	30	1	panigrahi	panigrahi	PROPN
ap-2073	30	2	acta	acta	PROPN
ap-2073	30	3	polytechnica	polytechnica	PROPN
ap-2073	30	4	propagation.in	propagation.in	X
ap-2073	30	5	particular	particular	ADJ
ap-2073	30	6	,	,	PUNCT
ap-2073	30	7	spatial	spatial	ADJ
ap-2073	30	8	modes	mode	NOUN
ap-2073	30	9	represent	represent	VERB
ap-2073	30	10	propagating	propagate	VERB
ap-2073	30	11	transverse	transverse	NOUN
ap-2073	30	12	self	self	NOUN
ap-2073	30	13	-	-	PUNCT
ap-2073	30	14	guided	guide	VERB
ap-2073	30	15	beams	beam	NOUN
ap-2073	30	16	orthogonal	orthogonal	ADJ
ap-2073	30	17	to	to	ADP
ap-2073	30	18	the	the	DET
ap-2073	30	19	direction	direction	NOUN
ap-2073	30	20	of	of	ADP
ap-2073	30	21	movement	movement	NOUN
ap-2073	30	22	.	.	PUNCT
ap-2073	31	1	because	because	SCONJ
ap-2073	31	2	of	of	ADP
ap-2073	31	3	a	a	DET
ap-2073	31	4	balance	balance	NOUN
ap-2073	31	5	between	between	ADP
ap-2073	31	6	the	the	DET
ap-2073	31	7	diffraction	diffraction	NOUN
ap-2073	31	8	and	and	CCONJ
ap-2073	31	9	the	the	DET
ap-2073	31	10	kerr	kerr	PROPN
ap-2073	31	11	effect	effect	PROPN
ap-2073	31	12	,	,	PUNCT
ap-2073	31	13	a	a	DET
ap-2073	31	14	spatial	spatial	ADJ
ap-2073	31	15	mode	mode	NOUN
ap-2073	31	16	does	do	AUX
ap-2073	31	17	not	not	PART
ap-2073	31	18	change	change	VERB
ap-2073	31	19	with	with	ADP
ap-2073	31	20	propagation	propagation	NOUN
ap-2073	31	21	.	.	PUNCT
ap-2073	32	1	these	these	DET
ap-2073	32	2	modes	mode	NOUN
ap-2073	32	3	are	be	AUX
ap-2073	32	4	termed	term	VERB
ap-2073	32	5	as	as	ADP
ap-2073	32	6	spatial	spatial	ADJ
ap-2073	32	7	solitons	soliton	NOUN
ap-2073	32	8	.	.	PUNCT
ap-2073	33	1	both	both	CCONJ
ap-2073	33	2	the	the	DET
ap-2073	33	3	types	type	NOUN
ap-2073	33	4	of	of	ADP
ap-2073	33	5	solitons	soliton	NOUN
ap-2073	33	6	emerge	emerge	VERB
ap-2073	33	7	from	from	ADP
ap-2073	33	8	a	a	DET
ap-2073	33	9	nonlinear	nonlinear	ADJ
ap-2073	33	10	change	change	NOUN
ap-2073	33	11	in	in	ADP
ap-2073	33	12	the	the	DET
ap-2073	33	13	refractive	refractive	ADJ
ap-2073	33	14	index	index	NOUN
ap-2073	33	15	of	of	ADP
ap-2073	33	16	an	an	DET
ap-2073	33	17	optical	optical	ADJ
ap-2073	33	18	material	material	NOUN
ap-2073	33	19	induced	induce	VERB
ap-2073	33	20	by	by	ADP
ap-2073	33	21	the	the	DET
ap-2073	33	22	light	light	ADJ
ap-2073	33	23	intensity	intensity	NOUN
ap-2073	33	24	.	.	PUNCT
ap-2073	34	1	this	this	DET
ap-2073	34	2	phenomenon	phenomenon	NOUN
ap-2073	34	3	is	be	AUX
ap-2073	34	4	referred	refer	VERB
ap-2073	34	5	to	to	ADP
ap-2073	34	6	as	as	ADP
ap-2073	34	7	the	the	DET
ap-2073	34	8	optical	optical	ADJ
ap-2073	34	9	kerr	kerr	PROPN
ap-2073	34	10	effect	effect	PROPN
ap-2073	34	11	.	.	PUNCT
ap-2073	35	1	the	the	DET
ap-2073	35	2	intensity	intensity	NOUN
ap-2073	35	3	dependence	dependence	NOUN
ap-2073	35	4	of	of	ADP
ap-2073	35	5	the	the	DET
ap-2073	35	6	refractive	refractive	ADJ
ap-2073	35	7	index	index	NOUN
ap-2073	35	8	leads	lead	VERB
ap-2073	35	9	to	to	ADP
ap-2073	35	10	spatial	spatial	ADJ
ap-2073	35	11	self	self	NOUN
ap-2073	35	12	-	-	PUNCT
ap-2073	35	13	focussing	focusse	VERB
ap-2073	35	14	(	(	PUNCT
ap-2073	35	15	or	or	CCONJ
ap-2073	35	16	self	self	NOUN
ap-2073	35	17	-	-	PUNCT
ap-2073	35	18	defocussing	defocussing	NOUN
ap-2073	35	19	)	)	PUNCT
ap-2073	35	20	and	and	CCONJ
ap-2073	35	21	temporal	temporal	ADJ
ap-2073	35	22	self	self	NOUN
ap-2073	35	23	-	-	PUNCT
ap-2073	35	24	phase	phase	NOUN
ap-2073	35	25	modulation	modulation	NOUN
ap-2073	35	26	,	,	PUNCT
ap-2073	35	27	the	the	DET
ap-2073	35	28	two	two	NUM
ap-2073	35	29	major	major	ADJ
ap-2073	35	30	nonlinear	nonlinear	ADJ
ap-2073	35	31	effects	effect	NOUN
ap-2073	35	32	that	that	PRON
ap-2073	35	33	are	be	AUX
ap-2073	35	34	responsible	responsible	ADJ
ap-2073	35	35	for	for	ADP
ap-2073	35	36	the	the	DET
ap-2073	35	37	formation	formation	NOUN
ap-2073	35	38	of	of	ADP
ap-2073	35	39	optical	optical	ADJ
ap-2073	35	40	solitary	solitary	ADJ
ap-2073	35	41	modes	mode	NOUN
ap-2073	35	42	or	or	CCONJ
ap-2073	35	43	optical	optical	ADJ
ap-2073	35	44	solitons	soliton	NOUN
ap-2073	35	45	[	[	X
ap-2073	35	46	29	29	NUM
ap-2073	35	47	]	]	PUNCT
ap-2073	35	48	.	.	PUNCT
ap-2073	36	1	in	in	ADP
ap-2073	36	2	this	this	DET
ap-2073	36	3	article	article	NOUN
ap-2073	36	4	we	we	PRON
ap-2073	36	5	report	report	VERB
ap-2073	36	6	on	on	ADP
ap-2073	36	7	some	some	DET
ap-2073	36	8	new	new	ADJ
ap-2073	36	9	localized	localized	ADJ
ap-2073	36	10	solutions	solution	NOUN
ap-2073	36	11	of	of	ADP
ap-2073	36	12	the	the	DET
ap-2073	36	13	nls	nls	NOUN
ap-2073	36	14	and	and	CCONJ
ap-2073	36	15	study	study	VERB
ap-2073	36	16	the	the	DET
ap-2073	36	17	distribution	distribution	NOUN
ap-2073	36	18	of	of	ADP
ap-2073	36	19	eigenmodes	eigenmode	NOUN
ap-2073	36	20	on	on	ADP
ap-2073	36	21	the	the	DET
ap-2073	36	22	real	real	ADJ
ap-2073	36	23	and	and	CCONJ
ap-2073	36	24	complex	complex	ADJ
ap-2073	36	25	plane	plane	NOUN
ap-2073	36	26	by	by	ADP
ap-2073	36	27	incorporating	incorporate	VERB
ap-2073	36	28	the	the	DET
ap-2073	36	29	effects	effect	NOUN
ap-2073	36	30	of	of	ADP
ap-2073	36	31	higher	high	ADJ
ap-2073	36	32	degree	degree	NOUN
ap-2073	36	33	nonlinear	nonlinear	ADJ
ap-2073	36	34	effects	effect	NOUN
ap-2073	36	35	over	over	ADP
ap-2073	36	36	and	and	CCONJ
ap-2073	36	37	above	above	ADP
ap-2073	36	38	the	the	DET
ap-2073	36	39	minimal	minimal	ADJ
ap-2073	36	40	cubic	cubic	ADJ
ap-2073	36	41	term	term	NOUN
ap-2073	36	42	.	.	PUNCT
ap-2073	37	1	by	by	ADP
ap-2073	37	2	parametrizing	parametrize	VERB
ap-2073	37	3	the	the	DET
ap-2073	37	4	coupling	coupling	NOUN
ap-2073	37	5	strength	strength	NOUN
ap-2073	37	6	of	of	ADP
ap-2073	37	7	the	the	DET
ap-2073	37	8	latter	latter	ADJ
ap-2073	37	9	and	and	CCONJ
ap-2073	37	10	arbitrarily	arbitrarily	ADV
ap-2073	37	11	specifying	specify	VERB
ap-2073	37	12	the	the	DET
ap-2073	37	13	order	order	NOUN
ap-2073	37	14	of	of	ADP
ap-2073	37	15	additional	additional	ADJ
ap-2073	37	16	nonlinearity	nonlinearity	NOUN
ap-2073	37	17	on	on	ADP
ap-2073	37	18	a	a	DET
ap-2073	37	19	rosen	rosen	PROPN
ap-2073	37	20	-	-	PUNCT
ap-2073	37	21	morse	morse	ADJ
ap-2073	37	22	potential	potential	NOUN
ap-2073	37	23	we	we	PRON
ap-2073	37	24	observe	observe	VERB
ap-2073	37	25	numerically	numerically	ADV
ap-2073	37	26	for	for	ADP
ap-2073	37	27	one	one	NUM
ap-2073	37	28	class	class	NOUN
ap-2073	37	29	of	of	ADP
ap-2073	37	30	solutions	solution	NOUN
ap-2073	37	31	the	the	DET
ap-2073	37	32	existence	existence	NOUN
ap-2073	37	33	of	of	ADP
ap-2073	37	34	a	a	DET
ap-2073	37	35	threshold	threshold	NOUN
ap-2073	37	36	value	value	NOUN
ap-2073	37	37	of	of	ADP
ap-2073	37	38	the	the	DET
ap-2073	37	39	growth	growth	NOUN
ap-2073	37	40	rate	rate	NOUN
ap-2073	37	41	parameter	parameter	NOUN
ap-2073	37	42	beyond	beyond	ADP
ap-2073	37	43	which	which	PRON
ap-2073	37	44	suitably	suitably	ADV
ap-2073	37	45	chosen	choose	VERB
ap-2073	37	46	pairs	pair	NOUN
ap-2073	37	47	of	of	ADP
ap-2073	37	48	discrete	discrete	ADJ
ap-2073	37	49	eigenmodes	eigenmode	NOUN
ap-2073	37	50	on	on	ADP
ap-2073	37	51	the	the	DET
ap-2073	37	52	real	real	ADJ
ap-2073	37	53	axis	axis	NOUN
ap-2073	37	54	merge	merge	NOUN
ap-2073	37	55	and	and	CCONJ
ap-2073	37	56	subsequently	subsequently	ADV
ap-2073	37	57	appear	appear	VERB
ap-2073	37	58	in	in	ADP
ap-2073	37	59	conjugate	conjugate	ADJ
ap-2073	37	60	imaginary	imaginary	ADJ
ap-2073	37	61	pairs	pair	NOUN
ap-2073	37	62	exhibiting	exhibit	VERB
ap-2073	37	63	the	the	DET
ap-2073	37	64	qualitative	qualitative	ADJ
ap-2073	37	65	character	character	NOUN
ap-2073	37	66	of	of	ADP
ap-2073	37	67	bifurcation	bifurcation	NOUN
ap-2073	37	68	.	.	PUNCT
ap-2073	38	1	in	in	ADP
ap-2073	38	2	this	this	DET
ap-2073	38	3	connection	connection	NOUN
ap-2073	38	4	it	it	PRON
ap-2073	38	5	needs	need	VERB
ap-2073	38	6	to	to	PART
ap-2073	38	7	be	be	AUX
ap-2073	38	8	pointed	point	VERB
ap-2073	38	9	out	out	ADP
ap-2073	38	10	that	that	SCONJ
ap-2073	38	11	our	our	PRON
ap-2073	38	12	model	model	NOUN
ap-2073	38	13	differs	differ	VERB
ap-2073	38	14	significantly	significantly	ADV
ap-2073	38	15	from	from	ADP
ap-2073	38	16	those	those	PRON
ap-2073	38	17	advanced	advance	VERB
ap-2073	38	18	so	so	ADV
ap-2073	38	19	far	far	ADV
ap-2073	38	20	to	to	PART
ap-2073	38	21	search	search	VERB
ap-2073	38	22	for	for	ADP
ap-2073	38	23	solitonic	solitonic	ADJ
ap-2073	38	24	solutions	solution	NOUN
ap-2073	38	25	[	[	X
ap-2073	38	26	30	30	NUM
ap-2073	38	27	,	,	PUNCT
ap-2073	38	28	31	31	NUM
ap-2073	38	29	]	]	PUNCT
ap-2073	38	30	.	.	PUNCT
ap-2073	39	1	for	for	ADP
ap-2073	39	2	instance	instance	NOUN
ap-2073	39	3	,	,	PUNCT
ap-2073	39	4	the	the	DET
ap-2073	39	5	potentials	potential	NOUN
ap-2073	39	6	of	of	ADP
ap-2073	39	7	our	our	PRON
ap-2073	39	8	interest	interest	NOUN
ap-2073	39	9	are	be	AUX
ap-2073	39	10	markedly	markedly	ADV
ap-2073	39	11	different	different	ADJ
ap-2073	39	12	from	from	ADP
ap-2073	39	13	the	the	DET
ap-2073	39	14	rosen	rosen	PROPN
ap-2073	39	15	-	-	PUNCT
ap-2073	39	16	morse	morse	PROPN
ap-2073	39	17	type	type	NOUN
ap-2073	39	18	considered	consider	VERB
ap-2073	39	19	in	in	ADP
ap-2073	39	20	[	[	X
ap-2073	39	21	31	31	NUM
ap-2073	39	22	]	]	PUNCT
ap-2073	39	23	because	because	SCONJ
ap-2073	39	24	of	of	ADP
ap-2073	39	25	the	the	DET
ap-2073	39	26	presence	presence	NOUN
ap-2073	39	27	of	of	ADP
ap-2073	39	28	an	an	DET
ap-2073	39	29	additional	additional	ADJ
ap-2073	39	30	nonlinear	nonlinear	ADJ
ap-2073	39	31	term	term	NOUN
ap-2073	39	32	in	in	ADP
ap-2073	39	33	our	our	PRON
ap-2073	39	34	case	case	NOUN
ap-2073	39	35	.	.	PUNCT
ap-2073	40	1	the	the	DET
ap-2073	40	2	pt	pt	ADJ
ap-2073	40	3	-	-	PUNCT
ap-2073	40	4	symmetric	symmetric	ADJ
ap-2073	40	5	potentials	potential	NOUN
ap-2073	40	6	addressed	address	VERB
ap-2073	40	7	in	in	ADP
ap-2073	40	8	[	[	X
ap-2073	40	9	30	30	NUM
ap-2073	40	10	]	]	PUNCT
ap-2073	40	11	are	be	AUX
ap-2073	40	12	basically	basically	ADV
ap-2073	40	13	nonlinear	nonlinear	ADJ
ap-2073	40	14	extensions	extension	NOUN
ap-2073	40	15	of	of	ADP
ap-2073	40	16	the	the	DET
ap-2073	40	17	scarf	scarf	PROPN
ap-2073	40	18	ii	ii	PROPN
ap-2073	40	19	.	.	PUNCT
ap-2073	41	1	also	also	ADV
ap-2073	41	2	,	,	PUNCT
ap-2073	41	3	the	the	DET
ap-2073	41	4	above	above	ADJ
ap-2073	41	5	aspect	aspect	NOUN
ap-2073	41	6	of	of	ADP
ap-2073	41	7	bifurcation	bifurcation	NOUN
ap-2073	41	8	did	do	AUX
ap-2073	41	9	not	not	PART
ap-2073	41	10	arise	arise	VERB
ap-2073	41	11	in	in	ADP
ap-2073	41	12	the	the	DET
ap-2073	41	13	models	model	NOUN
ap-2073	41	14	considered	consider	VERB
ap-2073	41	15	in	in	ADP
ap-2073	41	16	[	[	X
ap-2073	41	17	30	30	NUM
ap-2073	41	18	,	,	PUNCT
ap-2073	41	19	31	31	NUM
ap-2073	41	20	]	]	PUNCT
ap-2073	41	21	.	.	PUNCT
ap-2073	42	1	2	2	X
ap-2073	42	2	.	.	X
ap-2073	42	3	mathematical	mathematical	ADJ
ap-2073	42	4	model	model	NOUN
ap-2073	42	5	and	and	CCONJ
ap-2073	42	6	formulation	formulation	NOUN
ap-2073	42	7	we	we	PRON
ap-2073	42	8	consider	consider	VERB
ap-2073	42	9	here	here	ADV
ap-2073	42	10	an	an	DET
ap-2073	42	11	optical	optical	ADJ
ap-2073	42	12	wave	wave	NOUN
ap-2073	42	13	propagation	propagation	NOUN
ap-2073	42	14	in	in	ADP
ap-2073	42	15	the	the	DET
ap-2073	42	16	presence	presence	NOUN
ap-2073	42	17	of	of	ADP
ap-2073	42	18	a	a	DET
ap-2073	42	19	pt	pt	NOUN
ap-2073	42	20	-symmetric	-symmetric	ADJ
ap-2073	42	21	potential	potential	NOUN
ap-2073	42	22	.	.	PUNCT
ap-2073	43	1	in	in	ADP
ap-2073	43	2	this	this	DET
ap-2073	43	3	case	case	NOUN
ap-2073	43	4	the	the	DET
ap-2073	43	5	beam	beam	NOUN
ap-2073	43	6	dynamics	dynamic	NOUN
ap-2073	43	7	is	be	AUX
ap-2073	43	8	governed	govern	VERB
ap-2073	43	9	by	by	ADP
ap-2073	43	10	a	a	DET
ap-2073	43	11	generalized	generalized	ADJ
ap-2073	43	12	nonlinear	nonlinear	ADJ
ap-2073	43	13	schrödinger	schrödinger	ADJ
ap-2073	43	14	model	model	NOUN
ap-2073	43	15	with	with	ADP
ap-2073	43	16	competing	compete	VERB
ap-2073	43	17	nonlinearities	nonlinearitie	NOUN
ap-2073	43	18	,	,	PUNCT
ap-2073	43	19	i.e.	i.e.	X
ap-2073	43	20	,	,	PUNCT
ap-2073	43	21	i	i	PRON
ap-2073	43	22	∂ψ	∂ψ	VERB
ap-2073	43	23	∂z	∂z	PROPN
ap-2073	43	24	+	+	CCONJ
ap-2073	43	25	∂2ψ	∂2ψ	PROPN
ap-2073	43	26	∂x2	∂x2	NOUN
ap-2073	43	27	+	+	CCONJ
ap-2073	43	28	[	[	PUNCT
ap-2073	43	29	v	v	NOUN
ap-2073	43	30	(	(	PUNCT
ap-2073	43	31	x	x	NOUN
ap-2073	43	32	)	)	PUNCT
ap-2073	44	1	+	+	CCONJ
ap-2073	44	2	iw	iw	INTJ
ap-2073	44	3	(	(	PUNCT
ap-2073	44	4	x	x	NOUN
ap-2073	44	5	)	)	PUNCT
ap-2073	44	6	]	]	PUNCT
ap-2073	45	1	ψ	ψ	X
ap-2073	45	2	+	+	X
ap-2073	45	3	g1|ψ|2ψ	g1|ψ|2ψ	X
ap-2073	45	4	+	+	CCONJ
ap-2073	45	5	g2|ψ|2κψ	g2|ψ|2κψ	NOUN
ap-2073	45	6	=	=	SYM
ap-2073	45	7	0	0	NUM
ap-2073	45	8	,	,	PUNCT
ap-2073	45	9	(	(	PUNCT
ap-2073	45	10	2	2	X
ap-2073	45	11	)	)	PUNCT
ap-2073	45	12	where	where	SCONJ
ap-2073	45	13	κ	κ	NOUN
ap-2073	45	14	is	be	AUX
ap-2073	45	15	an	an	DET
ap-2073	45	16	arbitrary	arbitrary	ADJ
ap-2073	45	17	real	real	ADJ
ap-2073	45	18	number	number	NOUN
ap-2073	45	19	,	,	PUNCT
ap-2073	45	20	ψ(x	ψ(x	NOUN
ap-2073	45	21	,	,	PUNCT
ap-2073	45	22	z	z	NOUN
ap-2073	45	23	)	)	PUNCT
ap-2073	45	24	is	be	AUX
ap-2073	45	25	a	a	DET
ap-2073	45	26	complex	complex	ADJ
ap-2073	45	27	electric	electric	ADJ
ap-2073	45	28	field	field	NOUN
ap-2073	45	29	envelope	envelope	NOUN
ap-2073	45	30	,	,	PUNCT
ap-2073	45	31	g1	g1	PROPN
ap-2073	45	32	and	and	CCONJ
ap-2073	45	33	g2	g2	PROPN
ap-2073	45	34	control	control	NOUN
ap-2073	45	35	respectively	respectively	ADV
ap-2073	45	36	the	the	DET
ap-2073	45	37	strength	strength	NOUN
ap-2073	45	38	of	of	ADP
ap-2073	45	39	the	the	DET
ap-2073	45	40	cubic	cubic	ADJ
ap-2073	45	41	and	and	CCONJ
ap-2073	45	42	the	the	DET
ap-2073	45	43	arbitrary	arbitrary	ADJ
ap-2073	45	44	nonlinear	nonlinear	ADJ
ap-2073	45	45	term	term	NOUN
ap-2073	45	46	.	.	PUNCT
ap-2073	46	1	it	it	PRON
ap-2073	46	2	is	be	AUX
ap-2073	46	3	clear	clear	ADJ
ap-2073	46	4	that	that	SCONJ
ap-2073	46	5	eq	eq	ADP
ap-2073	46	6	.	.	PUNCT
ap-2073	46	7	(	(	PUNCT
ap-2073	46	8	2	2	X
ap-2073	46	9	)	)	PUNCT
ap-2073	46	10	admits	admit	VERB
ap-2073	46	11	stationary	stationary	ADJ
ap-2073	46	12	solutions	solution	NOUN
ap-2073	46	13	ψ(x	ψ(x	PROPN
ap-2073	46	14	,	,	PUNCT
ap-2073	46	15	z	z	NOUN
ap-2073	46	16	)	)	PUNCT
ap-2073	46	17	=	=	PUNCT
ap-2073	47	1	φ(x)eiλz	φ(x)eiλz	X
ap-2073	47	2	,	,	PUNCT
ap-2073	47	3	where	where	SCONJ
ap-2073	47	4	λ	λ	PROPN
ap-2073	47	5	is	be	AUX
ap-2073	47	6	a	a	DET
ap-2073	47	7	real	real	ADJ
ap-2073	47	8	propagation	propagation	NOUN
ap-2073	47	9	constant	constant	ADJ
ap-2073	47	10	and	and	CCONJ
ap-2073	47	11	the	the	DET
ap-2073	47	12	complex	complex	ADJ
ap-2073	47	13	function	function	NOUN
ap-2073	47	14	φ(x	φ(x	NOUN
ap-2073	47	15	)	)	PUNCT
ap-2073	47	16	obeys	obey	VERB
ap-2073	47	17	the	the	DET
ap-2073	47	18	eigenvalue	eigenvalue	PROPN
ap-2073	47	19	equation	equation	NOUN
ap-2073	47	20	∂2φ	∂2φ	VERB
ap-2073	47	21	∂x2	∂x2	NOUN
ap-2073	48	1	+	+	CCONJ
ap-2073	48	2	[	[	PUNCT
ap-2073	48	3	v	v	NOUN
ap-2073	48	4	(	(	PUNCT
ap-2073	48	5	x	x	NOUN
ap-2073	48	6	)	)	PUNCT
ap-2073	49	1	+	+	CCONJ
ap-2073	49	2	iw	iw	INTJ
ap-2073	49	3	(	(	PUNCT
ap-2073	49	4	x	x	X
ap-2073	49	5	)	)	PUNCT
ap-2073	49	6	]	]	PUNCT
ap-2073	49	7	φ	φ	PROPN
ap-2073	49	8	+	+	PROPN
ap-2073	49	9	g1|φ|2φ	g1|φ|2φ	PROPN
ap-2073	49	10	+	+	CCONJ
ap-2073	49	11	g2|φ|2κφ	g2|φ|2κφ	NOUN
ap-2073	49	12	=	=	SYM
ap-2073	49	13	λφ	λφ	X
ap-2073	49	14	.	.	PUNCT
ap-2073	50	1	(	(	PUNCT
ap-2073	50	2	3	3	X
ap-2073	50	3	)	)	PUNCT
ap-2073	50	4	we	we	PRON
ap-2073	50	5	now	now	ADV
ap-2073	50	6	show	show	VERB
ap-2073	50	7	that	that	SCONJ
ap-2073	50	8	this	this	DET
ap-2073	50	9	model	model	NOUN
ap-2073	50	10	supports	support	VERB
ap-2073	50	11	two	two	NUM
ap-2073	50	12	different	different	ADJ
ap-2073	50	13	soliton	soliton	NOUN
ap-2073	50	14	solutions	solution	NOUN
ap-2073	50	15	marked	mark	VERB
ap-2073	50	16	by	by	ADP
ap-2073	50	17	class	class	NOUN
ap-2073	50	18	i	i	PROPN
ap-2073	50	19	and	and	CCONJ
ap-2073	50	20	class	class	NOUN
ap-2073	50	21	ii	ii	PROPN
ap-2073	50	22	cases	case	NOUN
ap-2073	50	23	provided	provide	VERB
ap-2073	50	24	we	we	PRON
ap-2073	50	25	do	do	AUX
ap-2073	50	26	not	not	PART
ap-2073	50	27	alter	alter	VERB
ap-2073	50	28	the	the	DET
ap-2073	50	29	imaginary	imaginary	ADJ
ap-2073	50	30	part	part	NOUN
ap-2073	50	31	of	of	ADP
ap-2073	50	32	the	the	DET
ap-2073	50	33	potential	potential	NOUN
ap-2073	50	34	but	but	CCONJ
ap-2073	50	35	only	only	ADV
ap-2073	50	36	choose	choose	VERB
ap-2073	50	37	the	the	DET
ap-2073	50	38	real	real	ADJ
ap-2073	50	39	part	part	NOUN
ap-2073	50	40	appropriately	appropriately	ADV
ap-2073	50	41	.	.	PUNCT
ap-2073	51	1	2.1	2.1	NUM
ap-2073	51	2	.	.	PUNCT
ap-2073	51	3	class	class	NOUN
ap-2073	51	4	i	i	PRON
ap-2073	51	5	solutions	solution	VERB
ap-2073	51	6	we	we	PRON
ap-2073	51	7	focus	focus	VERB
ap-2073	51	8	on	on	ADP
ap-2073	51	9	a	a	DET
ap-2073	51	10	pt	pt	NOUN
ap-2073	51	11	-symmetric	-symmetric	PROPN
ap-2073	51	12	rosen	rosen	PROPN
ap-2073	51	13	-	-	PUNCT
ap-2073	51	14	morse	morse	ADJ
ap-2073	51	15	potential	potential	ADJ
ap-2073	51	16	−a(a	−a(a	NOUN
ap-2073	52	1	+	+	CCONJ
ap-2073	52	2	1	1	X
ap-2073	52	3	)	)	PUNCT
ap-2073	52	4	sech2	sech2	NOUN
ap-2073	52	5	x	x	PUNCT
ap-2073	53	1	+	+	NUM
ap-2073	53	2	2ib	2ib	ADJ
ap-2073	53	3	tanh	tanh	PROPN
ap-2073	53	4	x	x	SYM
ap-2073	53	5	(	(	PUNCT
ap-2073	53	6	a	a	DET
ap-2073	53	7	,	,	PUNCT
ap-2073	53	8	b	b	X
ap-2073	53	9	∈	∈	PROPN
ap-2073	53	10	r	r	AUX
ap-2073	53	11	)	)	PUNCT
ap-2073	53	12	being	be	AUX
ap-2073	53	13	subjected	subject	VERB
ap-2073	53	14	to	to	ADP
ap-2073	53	15	an	an	DET
ap-2073	53	16	additional	additional	ADJ
ap-2073	53	17	term	term	NOUN
ap-2073	53	18	−v1	−v1	NOUN
ap-2073	53	19	sech2κ	sech2κ	PROPN
ap-2073	53	20	x	x	SYM
ap-2073	53	21	(	(	PUNCT
ap-2073	53	22	v1	v1	NOUN
ap-2073	53	23	,	,	PUNCT
ap-2073	53	24	κ	κ	PROPN
ap-2073	53	25	∈	∈	PROPN
ap-2073	53	26	r	r	NOUN
ap-2073	53	27	)	)	PUNCT
ap-2073	53	28	,	,	PUNCT
ap-2073	53	29	i.e.	i.e.	X
ap-2073	53	30	,	,	PUNCT
ap-2073	53	31	v	v	INTJ
ap-2073	53	32	(	(	PUNCT
ap-2073	53	33	x	x	NOUN
ap-2073	53	34	)	)	PUNCT
ap-2073	53	35	=	=	SYM
ap-2073	54	1	−a(a+	−a(a+	NOUN
ap-2073	54	2	1	1	X
ap-2073	54	3	)	)	PUNCT
ap-2073	54	4	sech2	sech2	NOUN
ap-2073	54	5	x−	x−	PROPN
ap-2073	54	6	v1	v1	PROPN
ap-2073	54	7	sech2κ	sech2κ	PROPN
ap-2073	54	8	x	x	X
ap-2073	54	9	,	,	PUNCT
ap-2073	54	10	w	w	PROPN
ap-2073	54	11	(	(	PUNCT
ap-2073	54	12	x	x	NOUN
ap-2073	54	13	)	)	PUNCT
ap-2073	54	14	=	=	SYM
ap-2073	54	15	2b	2b	NUM
ap-2073	54	16	tanh	tanh	PROPN
ap-2073	54	17	x.	x.	NOUN
ap-2073	54	18	(	(	PUNCT
ap-2073	54	19	4	4	X
ap-2073	54	20	)	)	PUNCT
ap-2073	54	21	it	it	PRON
ap-2073	54	22	may	may	AUX
ap-2073	54	23	be	be	AUX
ap-2073	54	24	noted	note	VERB
ap-2073	54	25	that	that	SCONJ
ap-2073	54	26	a	a	DET
ap-2073	54	27	pt	pt	ADJ
ap-2073	54	28	-	-	PUNCT
ap-2073	54	29	symmetric	symmetric	ADJ
ap-2073	54	30	rosen	rosen	PROPN
ap-2073	54	31	-	-	PUNCT
ap-2073	54	32	morse	morse	PROPN
ap-2073	54	33	potential	potential	NOUN
ap-2073	54	34	has	have	AUX
ap-2073	54	35	been	be	AUX
ap-2073	54	36	well	well	ADV
ap-2073	54	37	studied	study	VERB
ap-2073	54	38	in	in	ADP
ap-2073	54	39	the	the	DET
ap-2073	54	40	literature	literature	NOUN
ap-2073	54	41	(	(	PUNCT
ap-2073	54	42	see	see	VERB
ap-2073	54	43	[	[	X
ap-2073	54	44	32	32	NUM
ap-2073	54	45	]	]	PUNCT
ap-2073	54	46	and	and	CCONJ
ap-2073	54	47	references	reference	NOUN
ap-2073	54	48	therein	therein	ADV
ap-2073	54	49	)	)	PUNCT
ap-2073	54	50	.	.	PUNCT
ap-2073	55	1	a	a	DET
ap-2073	55	2	noteworthy	noteworthy	ADJ
ap-2073	55	3	feature	feature	NOUN
ap-2073	55	4	of	of	ADP
ap-2073	55	5	this	this	DET
ap-2073	55	6	potential	potential	NOUN
ap-2073	55	7	is	be	AUX
ap-2073	55	8	that	that	SCONJ
ap-2073	55	9	while	while	SCONJ
ap-2073	55	10	its	its	PRON
ap-2073	55	11	real	real	ADJ
ap-2073	55	12	component	component	NOUN
ap-2073	55	13	vanishes	vanish	VERB
ap-2073	55	14	asymptotically	asymptotically	ADV
ap-2073	55	15	,	,	PUNCT
ap-2073	55	16	it	it	PRON
ap-2073	55	17	’s	’	VERB
ap-2073	55	18	imaginary	imaginary	ADJ
ap-2073	55	19	part	part	NOUN
ap-2073	55	20	remains	remain	VERB
ap-2073	55	21	nonzero	nonzero	PROPN
ap-2073	55	22	finite	finite	PROPN
ap-2073	55	23	.	.	PUNCT
ap-2073	56	1	corresponding	correspond	VERB
ap-2073	56	2	to	to	ADP
ap-2073	56	3	(	(	PUNCT
ap-2073	56	4	4	4	X
ap-2073	56	5	)	)	PUNCT
ap-2073	56	6	there	there	PRON
ap-2073	56	7	always	always	ADV
ap-2073	56	8	exists	exist	VERB
ap-2073	56	9	for	for	ADP
ap-2073	56	10	(	(	PUNCT
ap-2073	56	11	3	3	X
ap-2073	56	12	)	)	PUNCT
ap-2073	56	13	a	a	DET
ap-2073	56	14	typical	typical	ADJ
ap-2073	56	15	solution	solution	NOUN
ap-2073	56	16	φ(x	φ(x	NOUN
ap-2073	56	17	)	)	PUNCT
ap-2073	57	1	=	=	PUNCT
ap-2073	57	2	φ0	φ0	PROPN
ap-2073	57	3	sech(x	sech(x	PROPN
ap-2073	57	4	)	)	PUNCT
ap-2073	57	5	eiµx	eiµx	NOUN
ap-2073	57	6	,	,	PUNCT
ap-2073	57	7	(	(	PUNCT
ap-2073	57	8	5	5	X
ap-2073	57	9	)	)	PUNCT
ap-2073	57	10	provided	provide	VERB
ap-2073	57	11	that	that	SCONJ
ap-2073	57	12	the	the	DET
ap-2073	57	13	amplitude	amplitude	NOUN
ap-2073	57	14	φ0	φ0	ADJ
ap-2073	57	15	and	and	CCONJ
ap-2073	57	16	the	the	DET
ap-2073	57	17	phase	phase	NOUN
ap-2073	57	18	factor	factor	NOUN
ap-2073	57	19	µ	µ	NOUN
ap-2073	57	20	are	be	AUX
ap-2073	57	21	related	relate	VERB
ap-2073	57	22	to	to	ADP
ap-2073	57	23	the	the	DET
ap-2073	57	24	potential	potential	ADJ
ap-2073	57	25	parameters	parameter	NOUN
ap-2073	57	26	through	through	ADP
ap-2073	57	27	φ2κ	φ2κ	PROPN
ap-2073	57	28	0	0	NUM
ap-2073	57	29	=	=	SYM
ap-2073	57	30	v1	v1	PROPN
ap-2073	57	31	g2	g2	PROPN
ap-2073	57	32	,	,	PUNCT
ap-2073	57	33	φ2	φ2	PROPN
ap-2073	57	34	0	0	PUNCT
ap-2073	57	35	=	=	SYM
ap-2073	57	36	a2	a2	PROPN
ap-2073	57	37	+	+	CCONJ
ap-2073	57	38	a+	a+	SYM
ap-2073	57	39	2	2	NUM
ap-2073	57	40	g1	g1	NOUN
ap-2073	57	41	,	,	PUNCT
ap-2073	57	42	b	b	X
ap-2073	57	43	=	=	SYM
ap-2073	57	44	µ	µ	X
ap-2073	57	45	,	,	PUNCT
ap-2073	57	46	λ	λ	X
ap-2073	57	47	=	=	SYM
ap-2073	57	48	1−	1−	NUM
ap-2073	57	49	µ2	µ2	PROPN
ap-2073	57	50	.	.	PUNCT
ap-2073	58	1	(	(	PUNCT
ap-2073	58	2	6	6	X
ap-2073	58	3	)	)	PUNCT
ap-2073	58	4	note	note	NOUN
ap-2073	58	5	that	that	SCONJ
ap-2073	58	6	the	the	DET
ap-2073	58	7	imaginary	imaginary	ADJ
ap-2073	58	8	strength	strength	NOUN
ap-2073	58	9	of	of	ADP
ap-2073	58	10	the	the	DET
ap-2073	58	11	potential	potential	NOUN
ap-2073	58	12	contributes	contribute	VERB
ap-2073	58	13	only	only	ADV
ap-2073	58	14	through	through	ADP
ap-2073	58	15	the	the	DET
ap-2073	58	16	phase	phase	NOUN
ap-2073	58	17	factor	factor	NOUN
ap-2073	58	18	whereas	whereas	SCONJ
ap-2073	58	19	for	for	SCONJ
ap-2073	58	20	the	the	DET
ap-2073	58	21	real	real	ADJ
ap-2073	58	22	part	part	NOUN
ap-2073	58	23	both	both	CCONJ
ap-2073	58	24	the	the	DET
ap-2073	58	25	parameters	parameter	NOUN
ap-2073	58	26	a	a	PRON
ap-2073	58	27	and	and	CCONJ
ap-2073	58	28	v1	v1	VERB
ap-2073	58	29	along	along	ADV
ap-2073	58	30	with	with	ADP
ap-2073	58	31	the	the	DET
ap-2073	58	32	nonlinearity	nonlinearity	NOUN
ap-2073	58	33	parameters	parameter	NOUN
ap-2073	58	34	g1	g1	NOUN
ap-2073	58	35	and	and	CCONJ
ap-2073	58	36	g2	g2	PROPN
ap-2073	58	37	appear	appear	VERB
ap-2073	58	38	with	with	ADP
ap-2073	58	39	odd	odd	ADJ
ap-2073	58	40	powers	power	NOUN
ap-2073	58	41	and	and	CCONJ
ap-2073	58	42	thus	thus	ADV
ap-2073	58	43	their	their	PRON
ap-2073	58	44	sign	sign	NOUN
ap-2073	58	45	is	be	AUX
ap-2073	58	46	not	not	PART
ap-2073	58	47	of	of	ADP
ap-2073	58	48	relevance	relevance	NOUN
ap-2073	58	49	.	.	PUNCT
ap-2073	59	1	for	for	ADP
ap-2073	59	2	this	this	DET
ap-2073	59	3	solution	solution	NOUN
ap-2073	59	4	the	the	DET
ap-2073	59	5	transverse	transverse	NOUN
ap-2073	59	6	power	power	NOUN
ap-2073	59	7	flow	flow	NOUN
ap-2073	59	8	defined	define	VERB
ap-2073	59	9	by	by	ADP
ap-2073	59	10	s	s	NOUN
ap-2073	59	11	=	=	NOUN
ap-2073	59	12	i	i	PRON
ap-2073	59	13	2(φφ∗	2(φφ∗	NUM
ap-2073	59	14	x	x	NOUN
ap-2073	60	1	−	−	NOUN
ap-2073	60	2	φ∗φx	φ∗φx	NOUN
ap-2073	60	3	)	)	PUNCT
ap-2073	60	4	(	(	PUNCT
ap-2073	60	5	7	7	X
ap-2073	60	6	)	)	PUNCT
ap-2073	60	7	turns	turn	VERB
ap-2073	60	8	out	out	ADP
ap-2073	60	9	to	to	PART
ap-2073	60	10	be	be	AUX
ap-2073	60	11	s	s	NOUN
ap-2073	60	12	=	=	PUNCT
ap-2073	60	13	bφ2	bφ2	ADJ
ap-2073	60	14	0	0	NUM
ap-2073	60	15	sech2(x	sech2(x	NOUN
ap-2073	60	16	)	)	PUNCT
ap-2073	60	17	implying	imply	VERB
ap-2073	60	18	that	that	SCONJ
ap-2073	60	19	the	the	DET
ap-2073	60	20	transmission	transmission	NOUN
ap-2073	60	21	depends	depend	VERB
ap-2073	60	22	upon	upon	SCONJ
ap-2073	60	23	the	the	DET
ap-2073	60	24	strength	strength	NOUN
ap-2073	60	25	of	of	ADP
ap-2073	60	26	the	the	DET
ap-2073	60	27	imaginary	imaginary	ADJ
ap-2073	60	28	part	part	NOUN
ap-2073	60	29	of	of	ADP
ap-2073	60	30	the	the	DET
ap-2073	60	31	potential	potential	NOUN
ap-2073	60	32	.	.	PUNCT
ap-2073	61	1	2.2	2.2	NUM
ap-2073	61	2	.	.	PUNCT
ap-2073	61	3	class	class	NOUN
ap-2073	61	4	ii	ii	PROPN
ap-2073	61	5	solutions	solution	NOUN
ap-2073	61	6	on	on	ADP
ap-2073	61	7	the	the	DET
ap-2073	61	8	other	other	ADJ
ap-2073	61	9	hand	hand	NOUN
ap-2073	61	10	,	,	PUNCT
ap-2073	61	11	if	if	SCONJ
ap-2073	61	12	we	we	PRON
ap-2073	61	13	choose	choose	VERB
ap-2073	61	14	the	the	DET
ap-2073	61	15	extended	extended	ADJ
ap-2073	61	16	rosenmorse	rosenmorse	NOUN
ap-2073	61	17	potential	potential	NOUN
ap-2073	61	18	to	to	PART
ap-2073	61	19	have	have	VERB
ap-2073	61	20	the	the	DET
ap-2073	61	21	form	form	NOUN
ap-2073	61	22	v	v	NOUN
ap-2073	61	23	(	(	PUNCT
ap-2073	61	24	x	x	NOUN
ap-2073	61	25	)	)	PUNCT
ap-2073	61	26	=	=	SYM
ap-2073	62	1	−a(a+	−a(a+	NOUN
ap-2073	62	2	1	1	X
ap-2073	62	3	)	)	PUNCT
ap-2073	62	4	sech2	sech2	NOUN
ap-2073	62	5	x−	x−	PROPN
ap-2073	62	6	v1	v1	PROPN
ap-2073	62	7	sech	sech	NOUN
ap-2073	62	8	2	2	NUM
ap-2073	62	9	κ	κ	NOUN
ap-2073	62	10	x	x	PROPN
ap-2073	62	11	,	,	PUNCT
ap-2073	62	12	w	w	PROPN
ap-2073	62	13	(	(	PUNCT
ap-2073	62	14	x	x	NOUN
ap-2073	62	15	)	)	PUNCT
ap-2073	62	16	=	=	SYM
ap-2073	62	17	2b	2b	NUM
ap-2073	62	18	tanh	tanh	PROPN
ap-2073	62	19	x	x	X
ap-2073	62	20	,	,	PUNCT
ap-2073	62	21	κ	κ	PROPN
ap-2073	62	22	∈	∈	PROPN
ap-2073	62	23	r	r	NOUN
ap-2073	62	24	\	\	PUNCT
ap-2073	62	25	{	{	PUNCT
ap-2073	62	26	0	0	NUM
ap-2073	62	27	}	}	PUNCT
ap-2073	62	28	(	(	PUNCT
ap-2073	62	29	8)	8)	NUM
ap-2073	62	30	then	then	ADV
ap-2073	62	31	eq	eq	NOUN
ap-2073	62	32	.	.	PUNCT
ap-2073	63	1	(	(	PUNCT
ap-2073	63	2	3	3	X
ap-2073	63	3	)	)	PUNCT
ap-2073	63	4	enjoys	enjoy	VERB
ap-2073	63	5	a	a	DET
ap-2073	63	6	solution	solution	NOUN
ap-2073	63	7	φ(x	φ(x	NOUN
ap-2073	63	8	)	)	PUNCT
ap-2073	64	1	=	=	SYM
ap-2073	64	2	φ0	φ0	ADJ
ap-2073	64	3	sech	sech	NOUN
ap-2073	64	4	1	1	NUM
ap-2073	64	5	κ	κ	NOUN
ap-2073	64	6	x	x	X
ap-2073	64	7	eiµx	eiµx	NOUN
ap-2073	64	8	(	(	PUNCT
ap-2073	64	9	9	9	NUM
ap-2073	64	10	)	)	SYM
ap-2073	64	11	80	80	NUM
ap-2073	64	12	vol	vol	NOUN
ap-2073	64	13	.	.	PUNCT
ap-2073	64	14	54	54	NUM
ap-2073	64	15	no	no	NOUN
ap-2073	64	16	.	.	PUNCT
ap-2073	65	1	2/2014	2/2014	NUM
ap-2073	65	2	tracking	track	VERB
ap-2073	65	3	down	down	ADP
ap-2073	65	4	localized	localize	VERB
ap-2073	65	5	modes	mode	NOUN
ap-2073	65	6	in	in	ADP
ap-2073	65	7	pt	pt	ADJ
ap-2073	65	8	-	-	ADJ
ap-2073	65	9	symmetric	symmetric	ADJ
ap-2073	65	10	hamiltonians	hamiltonian	NOUN
ap-2073	65	11	if	if	SCONJ
ap-2073	65	12	the	the	DET
ap-2073	65	13	amplitude	amplitude	NOUN
ap-2073	65	14	and	and	CCONJ
ap-2073	65	15	phase	phase	NOUN
ap-2073	65	16	factor	factor	NOUN
ap-2073	65	17	are	be	AUX
ap-2073	65	18	constrained	constrain	VERB
ap-2073	65	19	by	by	ADP
ap-2073	65	20	the	the	DET
ap-2073	65	21	relations	relation	NOUN
ap-2073	65	22	φ2	φ2	NOUN
ap-2073	65	23	0	0	PUNCT
ap-2073	66	1	=	=	SYM
ap-2073	66	2	v1	v1	NOUN
ap-2073	66	3	g1	g1	PROPN
ap-2073	66	4	,	,	PUNCT
ap-2073	66	5	b	b	X
ap-2073	66	6	=	=	SYM
ap-2073	66	7	µ	µ	X
ap-2073	66	8	κ	κ	NOUN
ap-2073	66	9	,	,	PUNCT
ap-2073	66	10	λ	λ	PROPN
ap-2073	66	11	=	=	SYM
ap-2073	66	12	1	1	NUM
ap-2073	66	13	κ2	κ2	NOUN
ap-2073	66	14	−	−	PROPN
ap-2073	66	15	µ	µ	NOUN
ap-2073	66	16	2	2	NUM
ap-2073	66	17	,	,	PUNCT
ap-2073	66	18	φ2κ	φ2κ	PROPN
ap-2073	66	19	0	0	NUM
ap-2073	66	20	=	=	SYM
ap-2073	66	21	1	1	NUM
ap-2073	66	22	g2	g2	PROPN
ap-2073	66	23	[	[	PUNCT
ap-2073	66	24	a(a+	a(a+	NOUN
ap-2073	66	25	1	1	NUM
ap-2073	66	26	)	)	PUNCT
ap-2073	66	27	+	+	CCONJ
ap-2073	66	28	(	(	PUNCT
ap-2073	66	29	1	1	NUM
ap-2073	66	30	κ	κ	NOUN
ap-2073	66	31	+	+	CCONJ
ap-2073	66	32	1	1	NUM
ap-2073	66	33	κ2	κ2	NOUN
ap-2073	66	34	)	)	PUNCT
ap-2073	66	35	]	]	PUNCT
ap-2073	66	36	.	.	PUNCT
ap-2073	67	1	(	(	PUNCT
ap-2073	67	2	10	10	NUM
ap-2073	67	3	)	)	PUNCT
ap-2073	67	4	note	note	NOUN
ap-2073	67	5	that	that	SCONJ
ap-2073	67	6	the	the	DET
ap-2073	67	7	solution	solution	NOUN
ap-2073	67	8	(	(	PUNCT
ap-2073	67	9	10	10	NUM
ap-2073	67	10	)	)	PUNCT
ap-2073	67	11	is	be	AUX
ap-2073	67	12	valid	valid	ADJ
ap-2073	67	13	irrespective	irrespective	ADV
ap-2073	67	14	of	of	ADP
ap-2073	67	15	the	the	DET
ap-2073	67	16	signs	sign	NOUN
ap-2073	67	17	of	of	ADP
ap-2073	67	18	g1	g1	NOUN
ap-2073	67	19	and	and	CCONJ
ap-2073	67	20	g2	g2	PROPN
ap-2073	67	21	.	.	PUNCT
ap-2073	68	1	the	the	DET
ap-2073	68	2	transverse	transverse	NOUN
ap-2073	68	3	power	power	NOUN
ap-2073	68	4	flow	flow	NOUN
ap-2073	68	5	,	,	PUNCT
ap-2073	68	6	defined	define	VERB
ap-2073	68	7	by	by	ADP
ap-2073	68	8	eq	eq	PROPN
ap-2073	68	9	.	.	PUNCT
ap-2073	68	10	(	(	PUNCT
ap-2073	68	11	5	5	NUM
ap-2073	68	12	)	)	PUNCT
ap-2073	68	13	,	,	PUNCT
ap-2073	68	14	turns	turn	VERB
ap-2073	68	15	out	out	ADP
ap-2073	68	16	to	to	PART
ap-2073	68	17	be	be	AUX
ap-2073	68	18	s	s	NOUN
ap-2073	68	19	=	=	PUNCT
ap-2073	68	20	bφ2	bφ2	CCONJ
ap-2073	68	21	0κ	0κ	PROPN
ap-2073	68	22	sech	sech	PROPN
ap-2073	68	23	2	2	NUM
ap-2073	68	24	κ	κ	NOUN
ap-2073	68	25	x	x	NOUN
ap-2073	68	26	,	,	PUNCT
ap-2073	68	27	which	which	PRON
ap-2073	68	28	in	in	ADP
ap-2073	68	29	this	this	DET
ap-2073	68	30	case	case	NOUN
ap-2073	68	31	is	be	AUX
ap-2073	68	32	influenced	influence	VERB
ap-2073	68	33	by	by	ADP
ap-2073	68	34	both	both	DET
ap-2073	68	35	b	b	PROPN
ap-2073	68	36	and	and	CCONJ
ap-2073	68	37	κ	κ	X
ap-2073	68	38	including	include	VERB
ap-2073	68	39	of	of	ADP
ap-2073	68	40	course	course	NOUN
ap-2073	68	41	the	the	DET
ap-2073	68	42	effects	effect	NOUN
ap-2073	68	43	of	of	ADP
ap-2073	68	44	their	their	PRON
ap-2073	68	45	signs	sign	NOUN
ap-2073	68	46	.	.	PUNCT
ap-2073	69	1	3	3	X
ap-2073	69	2	.	.	X
ap-2073	69	3	numerical	numerical	ADJ
ap-2073	69	4	computations	computation	NOUN
ap-2073	69	5	and	and	CCONJ
ap-2073	69	6	eigenmode	eigenmode	ADJ
ap-2073	69	7	distribution	distribution	NOUN
ap-2073	69	8	solitary	solitary	ADJ
ap-2073	69	9	waves	wave	NOUN
ap-2073	69	10	associated	associate	VERB
ap-2073	69	11	with	with	ADP
ap-2073	69	12	the	the	DET
ap-2073	69	13	non	non	PROPN
ap-2073	69	14	-	-	ADJ
ap-2073	69	15	kerr	kerr	ADJ
ap-2073	69	16	nonlinear	nonlinear	PROPN
ap-2073	69	17	media	medium	NOUN
ap-2073	69	18	retain	retain	VERB
ap-2073	69	19	their	their	PRON
ap-2073	69	20	shape	shape	NOUN
ap-2073	69	21	but	but	CCONJ
ap-2073	69	22	their	their	PRON
ap-2073	69	23	stability	stability	NOUN
ap-2073	69	24	is	be	AUX
ap-2073	69	25	not	not	PART
ap-2073	69	26	guaranteed	guarantee	VERB
ap-2073	69	27	because	because	SCONJ
ap-2073	69	28	of	of	ADP
ap-2073	69	29	the	the	DET
ap-2073	69	30	nonintegrable	nonintegrable	ADJ
ap-2073	69	31	nature	nature	NOUN
ap-2073	69	32	of	of	ADP
ap-2073	69	33	the	the	DET
ap-2073	69	34	underlying	underlying	ADJ
ap-2073	69	35	extended	extended	ADJ
ap-2073	69	36	nls	nls	NOUN
ap-2073	69	37	equation	equation	NOUN
ap-2073	69	38	that	that	PRON
ap-2073	69	39	we	we	PRON
ap-2073	69	40	have	have	VERB
ap-2073	69	41	at	at	ADP
ap-2073	69	42	hand	hand	NOUN
ap-2073	69	43	.	.	PUNCT
ap-2073	70	1	in	in	ADP
ap-2073	70	2	fact	fact	NOUN
ap-2073	70	3	,	,	PUNCT
ap-2073	70	4	their	their	PRON
ap-2073	70	5	stability	stability	NOUN
ap-2073	70	6	against	against	ADP
ap-2073	70	7	small	small	ADJ
ap-2073	70	8	perturbation	perturbation	NOUN
ap-2073	70	9	is	be	AUX
ap-2073	70	10	an	an	DET
ap-2073	70	11	important	important	ADJ
ap-2073	70	12	issue	issue	NOUN
ap-2073	70	13	because	because	SCONJ
ap-2073	70	14	only	only	ADV
ap-2073	70	15	stable	stable	ADJ
ap-2073	70	16	(	(	PUNCT
ap-2073	70	17	or	or	CCONJ
ap-2073	70	18	weakly	weakly	ADV
ap-2073	70	19	unstable	unstable	ADJ
ap-2073	70	20	)	)	PUNCT
ap-2073	70	21	self	self	NOUN
ap-2073	70	22	-	-	PUNCT
ap-2073	70	23	trapped	trap	VERB
ap-2073	70	24	beams	beam	NOUN
ap-2073	70	25	can	can	AUX
ap-2073	70	26	be	be	AUX
ap-2073	70	27	observed	observe	VERB
ap-2073	70	28	experimentally	experimentally	ADV
ap-2073	70	29	.	.	PUNCT
ap-2073	71	1	let	let	VERB
ap-2073	71	2	us	we	PRON
ap-2073	71	3	impose	impose	VERB
ap-2073	71	4	a	a	DET
ap-2073	71	5	small	small	ADJ
ap-2073	71	6	perturbation	perturbation	NOUN
ap-2073	71	7	to	to	PART
ap-2073	71	8	determine	determine	VERB
ap-2073	71	9	whether	whether	SCONJ
ap-2073	71	10	it	it	PRON
ap-2073	71	11	is	be	AUX
ap-2073	71	12	stable	stable	ADJ
ap-2073	71	13	or	or	CCONJ
ap-2073	71	14	unstable	unstable	ADJ
ap-2073	71	15	against	against	ADP
ap-2073	71	16	this	this	DET
ap-2073	71	17	slight	slight	ADJ
ap-2073	71	18	disturbance	disturbance	NOUN
ap-2073	71	19	.	.	PUNCT
ap-2073	72	1	more	more	ADV
ap-2073	72	2	specifically	specifically	ADV
ap-2073	72	3	we	we	PRON
ap-2073	72	4	consider	consider	VERB
ap-2073	72	5	a	a	DET
ap-2073	72	6	perturbation	perturbation	NOUN
ap-2073	72	7	of	of	ADP
ap-2073	72	8	the	the	DET
ap-2073	72	9	form	form	NOUN
ap-2073	72	10	[	[	X
ap-2073	72	11	30	30	NUM
ap-2073	72	12	]	]	PUNCT
ap-2073	72	13	ψ(x	ψ(x	PROPN
ap-2073	72	14	,	,	PUNCT
ap-2073	72	15	z	z	NOUN
ap-2073	72	16	)	)	PUNCT
ap-2073	72	17	=	=	PUNCT
ap-2073	73	1	φ(x)eiλz	φ(x)eiλz	ADJ
ap-2073	73	2	+	+	CCONJ
ap-2073	73	3	{	{	PUNCT
ap-2073	73	4	[	[	PUNCT
ap-2073	73	5	v(x	v(x	PROPN
ap-2073	73	6	)	)	PUNCT
ap-2073	73	7	+	+	CCONJ
ap-2073	73	8	ω(x	ω(x	NOUN
ap-2073	73	9	)	)	PUNCT
ap-2073	73	10	]	]	PUNCT
ap-2073	73	11	eηz	eηz	NOUN
ap-2073	73	12	+	+	CCONJ
ap-2073	73	13	[	[	PUNCT
ap-2073	73	14	v∗(x)−	v∗(x)−	PROPN
ap-2073	73	15	ω∗(x	ω∗(x	NOUN
ap-2073	73	16	)	)	PUNCT
ap-2073	73	17	]	]	PUNCT
ap-2073	73	18	eη	eη	NOUN
ap-2073	73	19	∗z	∗z	PROPN
ap-2073	73	20	}	}	PUNCT
ap-2073	73	21	eiλz	eiλz	ADV
ap-2073	73	22	,	,	PUNCT
ap-2073	73	23	(	(	PUNCT
ap-2073	73	24	11	11	NUM
ap-2073	73	25	)	)	PUNCT
ap-2073	73	26	where	where	SCONJ
ap-2073	73	27	v(x	v(x	NOUN
ap-2073	73	28	)	)	PUNCT
ap-2073	73	29	and	and	CCONJ
ap-2073	73	30	ω(x	ω(x	NOUN
ap-2073	73	31	)	)	PUNCT
ap-2073	73	32	are	be	AUX
ap-2073	73	33	infinitesimal	infinitesimal	ADJ
ap-2073	73	34	perturbed	perturb	VERB
ap-2073	73	35	eigenfunctions	eigenfunction	NOUN
ap-2073	73	36	such	such	ADJ
ap-2073	73	37	that	that	DET
ap-2073	73	38	|v|	|v|	NOUN
ap-2073	73	39	,	,	PUNCT
ap-2073	73	40	|ω|	|ω|	ADP
ap-2073	73	41	�	�	PROPN
ap-2073	73	42	|φ|	|φ|	PROPN
ap-2073	73	43	and	and	CCONJ
ap-2073	73	44	η	η	PROPN
ap-2073	73	45	indicates	indicate	VERB
ap-2073	73	46	the	the	DET
ap-2073	73	47	perturbed	perturb	VERB
ap-2073	73	48	growth	growth	NOUN
ap-2073	73	49	rate	rate	NOUN
ap-2073	73	50	.	.	PUNCT
ap-2073	74	1	linearization	linearization	NOUN
ap-2073	74	2	of	of	ADP
ap-2073	74	3	eq	eq	PROPN
ap-2073	74	4	.	.	PUNCT
ap-2073	75	1	(	(	PUNCT
ap-2073	75	2	1	1	NUM
ap-2073	75	3	)	)	PUNCT
ap-2073	75	4	around	around	ADP
ap-2073	75	5	φ(x	φ(x	NOUN
ap-2073	75	6	)	)	PUNCT
ap-2073	75	7	yields	yield	VERB
ap-2073	75	8	the	the	DET
ap-2073	75	9	following	follow	VERB
ap-2073	75	10	eigenvalue	eigenvalue	PROPN
ap-2073	75	11	problem	problem	NOUN
ap-2073	75	12	(	(	PUNCT
ap-2073	75	13	0	0	NUM
ap-2073	75	14	l̂0	l̂0	NOUN
ap-2073	75	15	l̂1	l̂1	NOUN
ap-2073	75	16	0	0	NUM
ap-2073	75	17	)	)	PUNCT
ap-2073	75	18	(	(	PUNCT
ap-2073	75	19	v	v	NUM
ap-2073	75	20	ω	ω	NUM
ap-2073	75	21	)	)	PUNCT
ap-2073	76	1	=	=	SYM
ap-2073	76	2	−iη	−iη	INTJ
ap-2073	76	3	(	(	PUNCT
ap-2073	76	4	v	v	NOUN
ap-2073	76	5	ω	ω	NUM
ap-2073	76	6	)	)	PUNCT
ap-2073	76	7	,	,	PUNCT
ap-2073	76	8	(	(	PUNCT
ap-2073	76	9	12	12	NUM
ap-2073	76	10	)	)	PUNCT
ap-2073	76	11	where	where	SCONJ
ap-2073	76	12	l̂0	l̂0	ADV
ap-2073	76	13	=	=	SYM
ap-2073	76	14	∂xx−λ+(v	∂xx−λ+(v	NOUN
ap-2073	76	15	+	+	CCONJ
ap-2073	76	16	iw	iw	X
ap-2073	76	17	)	)	PUNCT
ap-2073	77	1	+	+	NOUN
ap-2073	77	2	g1|φ|2	g1|φ|2	PROPN
ap-2073	77	3	+	+	ADV
ap-2073	77	4	g2|φ|2κ	g2|φ|2κ	ADJ
ap-2073	77	5	and	and	CCONJ
ap-2073	77	6	l̂1	l̂1	NOUN
ap-2073	77	7	=	=	SYM
ap-2073	77	8	∂xx	∂xx	PROPN
ap-2073	77	9	−	−	PROPN
ap-2073	77	10	λ+	λ+	PUNCT
ap-2073	77	11	(	(	PUNCT
ap-2073	77	12	v	v	NOUN
ap-2073	77	13	+	+	X
ap-2073	77	14	iw	iw	NUM
ap-2073	77	15	)	)	PUNCT
ap-2073	78	1	+	+	CCONJ
ap-2073	78	2	3g1|φ|2	3g1|φ|2	NUM
ap-2073	78	3	+	+	NUM
ap-2073	78	4	g2(1	g2(1	NOUN
ap-2073	78	5	+	+	CCONJ
ap-2073	78	6	2κ)|φ|2κ	2κ)|φ|2κ	NUM
ap-2073	78	7	and	and	CCONJ
ap-2073	78	8	η	η	PROPN
ap-2073	78	9	is	be	AUX
ap-2073	78	10	the	the	DET
ap-2073	78	11	associated	associate	VERB
ap-2073	78	12	eigenvalue	eigenvalue	PROPN
ap-2073	78	13	corresponding	correspond	VERB
ap-2073	78	14	to	to	ADP
ap-2073	78	15	the	the	DET
ap-2073	78	16	growth	growth	NOUN
ap-2073	78	17	rate	rate	NOUN
ap-2073	78	18	parameter	parameter	NOUN
ap-2073	78	19	.	.	PUNCT
ap-2073	79	1	the	the	DET
ap-2073	79	2	η	η	PROPN
ap-2073	79	3	-	-	NOUN
ap-2073	79	4	spectrum	spectrum	NOUN
ap-2073	79	5	is	be	AUX
ap-2073	79	6	called	call	VERB
ap-2073	79	7	the	the	DET
ap-2073	79	8	linear	linear	ADJ
ap-2073	79	9	-	-	PUNCT
ap-2073	79	10	stability	stability	NOUN
ap-2073	79	11	spectrum	spectrum	NOUN
ap-2073	79	12	for	for	ADP
ap-2073	79	13	the	the	DET
ap-2073	79	14	localized	localized	ADJ
ap-2073	79	15	modes	mode	NOUN
ap-2073	79	16	.	.	PUNCT
ap-2073	80	1	it	it	PRON
ap-2073	80	2	is	be	AUX
ap-2073	80	3	easy	easy	ADJ
ap-2073	80	4	to	to	PART
ap-2073	80	5	see	see	VERB
ap-2073	80	6	if	if	SCONJ
ap-2073	80	7	η	η	PROPN
ap-2073	80	8	is	be	AUX
ap-2073	80	9	an	an	DET
ap-2073	80	10	eigenvalue	eigenvalue	NOUN
ap-2073	80	11	then	then	ADV
ap-2073	80	12	so	so	ADV
ap-2073	80	13	are	be	AUX
ap-2073	80	14	η∗	η∗	ADJ
ap-2073	80	15	,	,	PUNCT
ap-2073	80	16	-η	-η	ADV
ap-2073	80	17	,	,	PUNCT
ap-2073	80	18	and	and	CCONJ
ap-2073	80	19	-η∗	-η∗	ADV
ap-2073	80	20	indicating	indicate	VERB
ap-2073	80	21	that	that	SCONJ
ap-2073	80	22	these	these	DET
ap-2073	80	23	eigenvalues	eigenvalue	NOUN
ap-2073	80	24	always	always	ADV
ap-2073	80	25	appear	appear	VERB
ap-2073	80	26	in	in	ADP
ap-2073	80	27	pairs	pair	NOUN
ap-2073	80	28	or	or	CCONJ
ap-2073	80	29	quadruples	quadruple	NOUN
ap-2073	80	30	.	.	PUNCT
ap-2073	81	1	the	the	DET
ap-2073	81	2	continuous	continuous	ADJ
ap-2073	81	3	spectrum	spectrum	NOUN
ap-2073	81	4	of	of	ADP
ap-2073	81	5	eq	eq	PROPN
ap-2073	81	6	.	.	PUNCT
ap-2073	82	1	(	(	PUNCT
ap-2073	82	2	12	12	NUM
ap-2073	82	3	)	)	PUNCT
ap-2073	82	4	can	can	AUX
ap-2073	82	5	be	be	AUX
ap-2073	82	6	readily	readily	ADV
ap-2073	82	7	recovered	recover	VERB
ap-2073	82	8	in	in	ADP
ap-2073	82	9	the	the	DET
ap-2073	82	10	large	large	ADJ
ap-2073	82	11	-	-	PUNCT
ap-2073	82	12	distance	distance	NOUN
ap-2073	82	13	limit	limit	NOUN
ap-2073	82	14	of	of	ADP
ap-2073	82	15	|x|	|x|	PROPN
ap-2073	82	16	→	→	SYM
ap-2073	82	17	∞.	∞.	PROPN
ap-2073	82	18	under	under	ADP
ap-2073	82	19	this	this	DET
ap-2073	82	20	limit	limit	NOUN
ap-2073	82	21	,	,	PUNCT
ap-2073	82	22	l̂0	l̂0	ADJ
ap-2073	82	23	and	and	CCONJ
ap-2073	82	24	l̂1	l̂1	ADJ
ap-2073	82	25	move	move	NOUN
ap-2073	82	26	over	over	ADP
ap-2073	82	27	to	to	ADP
ap-2073	82	28	a	a	DET
ap-2073	82	29	simple	simple	ADJ
ap-2073	82	30	differential	differential	NOUN
ap-2073	82	31	operator	operator	NOUN
ap-2073	82	32	with	with	ADP
ap-2073	82	33	a	a	DET
ap-2073	82	34	constant	constant	ADJ
ap-2073	82	35	coefficient	coefficient	NOUN
ap-2073	82	36	.	.	PUNCT
ap-2073	83	1	in	in	ADP
ap-2073	83	2	order	order	NOUN
ap-2073	83	3	for	for	SCONJ
ap-2073	83	4	η	η	NOUN
ap-2073	83	5	to	to	PART
ap-2073	83	6	be	be	AUX
ap-2073	83	7	in	in	ADP
ap-2073	83	8	the	the	DET
ap-2073	83	9	continuous	continuous	ADJ
ap-2073	83	10	spectrum	spectrum	NOUN
ap-2073	83	11	,	,	PUNCT
ap-2073	83	12	the	the	DET
ap-2073	83	13	corresponding	correspond	VERB
ap-2073	83	14	eigenfunction	eigenfunction	NOUN
ap-2073	83	15	at	at	ADP
ap-2073	83	16	large	large	ADJ
ap-2073	83	17	distance	distance	NOUN
ap-2073	83	18	must	must	AUX
ap-2073	83	19	be	be	AUX
ap-2073	83	20	a	a	DET
ap-2073	83	21	fourier	fourier	ADJ
ap-2073	83	22	mode	mode	NOUN
ap-2073	83	23	.	.	PUNCT
ap-2073	84	1	if	if	SCONJ
ap-2073	84	2	we	we	PRON
ap-2073	84	3	observe	observe	VERB
ap-2073	84	4	the	the	DET
ap-2073	84	5	orientation	orientation	NOUN
ap-2073	84	6	of	of	ADP
ap-2073	84	7	the	the	DET
ap-2073	84	8	eigenmodes	eigenmode	NOUN
ap-2073	84	9	in	in	ADP
ap-2073	84	10	the	the	DET
ap-2073	84	11	entire	entire	ADJ
ap-2073	84	12	spectrum	spectrum	NOUN
ap-2073	84	13	,	,	PUNCT
ap-2073	84	14	we	we	PRON
ap-2073	84	15	run	run	VERB
ap-2073	84	16	into	into	ADP
ap-2073	84	17	three	three	NUM
ap-2073	84	18	different	different	ADJ
ap-2073	84	19	kinds	kind	NOUN
ap-2073	84	20	of	of	ADP
ap-2073	84	21	modes	mode	NOUN
ap-2073	84	22	.	.	PUNCT
ap-2073	85	1	the	the	DET
ap-2073	85	2	appearance	appearance	NOUN
ap-2073	85	3	of	of	ADP
ap-2073	85	4	nonzero	nonzero	X
ap-2073	85	5	discrete	discrete	ADJ
ap-2073	85	6	eigenvalues	eigenvalue	NOUN
ap-2073	85	7	in	in	ADP
ap-2073	85	8	the	the	DET
ap-2073	85	9	linearization	linearization	NOUN
ap-2073	85	10	spectrum	spectrum	NOUN
ap-2073	85	11	of	of	ADP
ap-2073	85	12	solitary	solitary	ADJ
ap-2073	85	13	waves	wave	NOUN
ap-2073	85	14	is	be	AUX
ap-2073	85	15	a	a	DET
ap-2073	85	16	signature	signature	NOUN
ap-2073	85	17	of	of	ADP
ap-2073	85	18	nonintegrable	nonintegrable	ADJ
ap-2073	85	19	character	character	NOUN
ap-2073	85	20	of	of	ADP
ap-2073	85	21	the	the	DET
ap-2073	85	22	equation	equation	NOUN
ap-2073	85	23	.	.	PUNCT
ap-2073	86	1	if	if	SCONJ
ap-2073	86	2	the	the	DET
ap-2073	86	3	spectrum	spectrum	NOUN
ap-2073	86	4	contains	contain	VERB
ap-2073	86	5	a	a	DET
ap-2073	86	6	real	real	ADJ
ap-2073	86	7	positive	positive	ADJ
ap-2073	86	8	eigenvalue	eigenvalue	NOUN
ap-2073	86	9	,	,	PUNCT
ap-2073	86	10	the	the	DET
ap-2073	86	11	corresponding	correspond	VERB
ap-2073	86	12	eigenmode	eigenmode	NOUN
ap-2073	86	13	in	in	ADP
ap-2073	86	14	the	the	DET
ap-2073	86	15	perturbed	perturb	VERB
ap-2073	86	16	solution	solution	NOUN
ap-2073	86	17	will	will	AUX
ap-2073	86	18	grow	grow	VERB
ap-2073	86	19	exponentially	exponentially	ADV
ap-2073	86	20	with	with	ADP
ap-2073	86	21	time	time	NOUN
ap-2073	86	22	;	;	PUNCT
ap-2073	86	23	hence	hence	ADV
ap-2073	86	24	the	the	DET
ap-2073	86	25	solitary	solitary	ADJ
ap-2073	86	26	wave	wave	NOUN
ap-2073	86	27	is	be	AUX
ap-2073	86	28	linearly	linearly	ADV
ap-2073	86	29	unstable	unstable	ADJ
ap-2073	86	30	.	.	PUNCT
ap-2073	87	1	generally	generally	ADV
ap-2073	87	2	if	if	SCONJ
ap-2073	87	3	the	the	DET
ap-2073	87	4	spectrum	spectrum	NOUN
ap-2073	87	5	contains	contain	VERB
ap-2073	87	6	any	any	DET
ap-2073	87	7	eigenvalue	eigenvalue	NOUN
ap-2073	87	8	with	with	ADP
ap-2073	87	9	a	a	DET
ap-2073	87	10	real	real	ADV
ap-2073	87	11	positive	positive	ADJ
ap-2073	87	12	part	part	NOUN
ap-2073	87	13	then	then	ADV
ap-2073	87	14	such	such	ADJ
ap-2073	87	15	eigenvalues	eigenvalue	NOUN
ap-2073	87	16	are	be	AUX
ap-2073	87	17	unstable	unstable	ADJ
ap-2073	87	18	.	.	PUNCT
ap-2073	88	1	secondly	secondly	ADV
ap-2073	88	2	if	if	SCONJ
ap-2073	88	3	the	the	DET
ap-2073	88	4	spectrum	spectrum	NOUN
ap-2073	88	5	admits	admit	VERB
ap-2073	88	6	of	of	ADP
ap-2073	88	7	a	a	DET
ap-2073	88	8	pair	pair	NOUN
ap-2073	88	9	of	of	ADP
ap-2073	88	10	conjugate	conjugate	ADJ
ap-2073	88	11	-	-	PUNCT
ap-2073	88	12	complex	complex	NOUN
ap-2073	88	13	eigenvalues	eigenvalue	NOUN
ap-2073	88	14	(	(	PUNCT
ap-2073	88	15	internal	internal	ADJ
ap-2073	88	16	modes	mode	NOUN
ap-2073	88	17	)	)	PUNCT
ap-2073	88	18	the	the	DET
ap-2073	88	19	perturbed	perturb	VERB
ap-2073	88	20	solution	solution	NOUN
ap-2073	88	21	will	will	AUX
ap-2073	88	22	exhibit	exhibit	VERB
ap-2073	88	23	oscillations	oscillation	NOUN
ap-2073	88	24	leading	lead	VERB
ap-2073	88	25	eventually	eventually	ADV
ap-2073	88	26	to	to	PART
ap-2073	88	27	shape	shape	VERB
ap-2073	88	28	fluctuations	fluctuation	NOUN
ap-2073	88	29	that	that	PRON
ap-2073	88	30	would	would	AUX
ap-2073	88	31	be	be	AUX
ap-2073	88	32	smothered	smother	VERB
ap-2073	88	33	with	with	ADP
ap-2073	88	34	time	time	NOUN
ap-2073	88	35	.	.	PUNCT
ap-2073	89	1	thirdly	thirdly	ADV
ap-2073	89	2	one	one	PRON
ap-2073	89	3	can	can	AUX
ap-2073	89	4	encounter	encounter	VERB
ap-2073	89	5	zero	zero	NUM
ap-2073	89	6	eigenvalues	eigenvalue	NOUN
ap-2073	89	7	which	which	PRON
ap-2073	89	8	are	be	AUX
ap-2073	89	9	the	the	DET
ap-2073	89	10	so	so	ADV
ap-2073	89	11	-	-	PUNCT
ap-2073	89	12	called	call	VERB
ap-2073	89	13	goldstone	goldstone	NOUN
ap-2073	89	14	modes	mode	NOUN
ap-2073	89	15	(	(	PUNCT
ap-2073	89	16	see	see	VERB
ap-2073	89	17	for	for	ADP
ap-2073	89	18	a	a	DET
ap-2073	89	19	discussion	discussion	NOUN
ap-2073	89	20	on	on	ADP
ap-2073	89	21	this	this	DET
ap-2073	89	22	point	point	NOUN
ap-2073	89	23	[	[	X
ap-2073	89	24	30	30	NUM
ap-2073	89	25	]	]	NUM
ap-2073	89	26	)	)	PUNCT
ap-2073	89	27	.	.	PUNCT
ap-2073	90	1	the	the	DET
ap-2073	90	2	behavior	behavior	NOUN
ap-2073	90	3	of	of	ADP
ap-2073	90	4	the	the	DET
ap-2073	90	5	eigenvalues	eigenvalue	NOUN
ap-2073	90	6	η	η	PROPN
ap-2073	90	7	can	can	AUX
ap-2073	90	8	be	be	AUX
ap-2073	90	9	ascertained	ascertain	VERB
ap-2073	90	10	by	by	ADP
ap-2073	90	11	solving	solve	VERB
ap-2073	90	12	eq	eq	ADJ
ap-2073	90	13	.	.	PUNCT
ap-2073	91	1	(	(	PUNCT
ap-2073	91	2	12	12	NUM
ap-2073	91	3	)	)	PUNCT
ap-2073	91	4	numerically	numerically	ADV
ap-2073	91	5	.	.	PUNCT
ap-2073	92	1	here	here	ADV
ap-2073	92	2	we	we	PRON
ap-2073	92	3	adopt	adopt	VERB
ap-2073	92	4	the	the	DET
ap-2073	92	5	fourier	fourier	NOUN
ap-2073	92	6	collocation	collocation	NOUN
ap-2073	92	7	method	method	NOUN
ap-2073	92	8	[	[	X
ap-2073	92	9	33	33	NUM
ap-2073	92	10	,	,	PUNCT
ap-2073	92	11	34	34	NUM
ap-2073	92	12	]	]	PUNCT
ap-2073	92	13	to	to	PART
ap-2073	92	14	track	track	VERB
ap-2073	92	15	the	the	DET
ap-2073	92	16	tendencies	tendency	NOUN
ap-2073	92	17	of	of	ADP
ap-2073	92	18	the	the	DET
ap-2073	92	19	eigenvalues	eigenvalue	NOUN
ap-2073	92	20	.	.	PUNCT
ap-2073	93	1	we	we	PRON
ap-2073	93	2	now	now	ADV
ap-2073	93	3	turn	turn	VERB
ap-2073	93	4	to	to	ADP
ap-2073	93	5	some	some	DET
ap-2073	93	6	discussions	discussion	NOUN
ap-2073	93	7	of	of	ADP
ap-2073	93	8	our	our	PRON
ap-2073	93	9	results	result	NOUN
ap-2073	93	10	.	.	PUNCT
ap-2073	94	1	4	4	X
ap-2073	94	2	.	.	NOUN
ap-2073	94	3	results	result	NOUN
ap-2073	94	4	and	and	CCONJ
ap-2073	94	5	discussion	discussion	NOUN
ap-2073	94	6	figures	figure	NOUN
ap-2073	94	7	1–4	1–4	PRON
ap-2073	94	8	give	give	VERB
ap-2073	94	9	a	a	DET
ap-2073	94	10	graphical	graphical	ADJ
ap-2073	94	11	display	display	NOUN
ap-2073	94	12	of	of	ADP
ap-2073	94	13	our	our	PRON
ap-2073	94	14	numerical	numerical	ADJ
ap-2073	94	15	results	result	NOUN
ap-2073	94	16	on	on	ADP
ap-2073	94	17	the	the	DET
ap-2073	94	18	eigenmode	eigenmode	ADJ
ap-2073	94	19	distribution	distribution	NOUN
ap-2073	94	20	.	.	PUNCT
ap-2073	95	1	the	the	DET
ap-2073	95	2	interplay	interplay	NOUN
ap-2073	95	3	between	between	ADP
ap-2073	95	4	the	the	DET
ap-2073	95	5	cubic	cubic	ADJ
ap-2073	95	6	and	and	CCONJ
ap-2073	95	7	competing	compete	VERB
ap-2073	95	8	nonlinearity	nonlinearity	NOUN
ap-2073	95	9	on	on	ADP
ap-2073	95	10	the	the	DET
ap-2073	95	11	soliton	soliton	NOUN
ap-2073	95	12	dynamics	dynamic	NOUN
ap-2073	95	13	is	be	AUX
ap-2073	95	14	best	well	ADV
ap-2073	95	15	understood	understand	VERB
ap-2073	95	16	in	in	ADP
ap-2073	95	17	terms	term	NOUN
ap-2073	95	18	of	of	ADP
ap-2073	95	19	the	the	DET
ap-2073	95	20	parameters	parameter	NOUN
ap-2073	95	21	φ0	φ0	VERB
ap-2073	95	22	,	,	PUNCT
ap-2073	95	23	|g1|	|g1|	NOUN
ap-2073	95	24	,	,	PUNCT
ap-2073	95	25	|g2|	|g2|	NOUN
ap-2073	95	26	.	.	PUNCT
ap-2073	96	1	we	we	PRON
ap-2073	96	2	also	also	ADV
ap-2073	96	3	look	look	VERB
ap-2073	96	4	for	for	ADP
ap-2073	96	5	stability	stability	NOUN
ap-2073	96	6	around	around	ADP
ap-2073	96	7	some	some	DET
ap-2073	96	8	specific	specific	ADJ
ap-2073	96	9	value	value	NOUN
ap-2073	96	10	of	of	ADP
ap-2073	96	11	κ	κ	NOUN
ap-2073	96	12	,	,	PUNCT
ap-2073	96	13	as	as	SCONJ
ap-2073	96	14	mentioned	mention	VERB
ap-2073	96	15	in	in	ADP
ap-2073	96	16	the	the	DET
ap-2073	96	17	figure	figure	NOUN
ap-2073	96	18	captions	caption	NOUN
ap-2073	96	19	.	.	PUNCT
ap-2073	97	1	it	it	PRON
ap-2073	97	2	should	should	AUX
ap-2073	97	3	be	be	AUX
ap-2073	97	4	borne	bear	VERB
ap-2073	97	5	in	in	ADP
ap-2073	97	6	mind	mind	NOUN
ap-2073	97	7	that	that	SCONJ
ap-2073	97	8	eq	eq	VERB
ap-2073	97	9	.	.	PUNCT
ap-2073	98	1	(	(	PUNCT
ap-2073	98	2	6	6	NUM
ap-2073	98	3	)	)	PUNCT
ap-2073	98	4	and	and	CCONJ
ap-2073	98	5	eq	eq	NOUN
ap-2073	98	6	.	.	PUNCT
ap-2073	99	1	(	(	PUNCT
ap-2073	99	2	10	10	NUM
ap-2073	99	3	)	)	PUNCT
ap-2073	99	4	constrain	constrain	VERB
ap-2073	99	5	these	these	DET
ap-2073	99	6	parameters	parameter	NOUN
ap-2073	99	7	in	in	ADP
ap-2073	99	8	terms	term	NOUN
ap-2073	99	9	of	of	ADP
ap-2073	99	10	the	the	DET
ap-2073	99	11	amplitude	amplitude	NOUN
ap-2073	99	12	φ0	φ0	ADJ
ap-2073	99	13	and	and	CCONJ
ap-2073	99	14	the	the	DET
ap-2073	99	15	phase	phase	NOUN
ap-2073	99	16	factor	factor	NOUN
ap-2073	99	17	µ	µ	X
ap-2073	99	18	as	as	ADV
ap-2073	99	19	well	well	ADV
ap-2073	99	20	as	as	ADP
ap-2073	99	21	the	the	DET
ap-2073	99	22	coupling	coupling	NOUN
ap-2073	99	23	constants	constant	NOUN
ap-2073	99	24	of	of	ADP
ap-2073	99	25	the	the	DET
ap-2073	99	26	potential	potential	NOUN
ap-2073	99	27	.	.	PUNCT
ap-2073	100	1	the	the	DET
ap-2073	100	2	evolution	evolution	NOUN
ap-2073	100	3	of	of	ADP
ap-2073	100	4	a	a	DET
ap-2073	100	5	class	class	NOUN
ap-2073	100	6	i	i	PRON
ap-2073	100	7	solution	solution	NOUN
ap-2073	100	8	for	for	ADP
ap-2073	100	9	different	different	ADJ
ap-2073	100	10	choices	choice	NOUN
ap-2073	100	11	of	of	ADP
ap-2073	100	12	g1	g1	NOUN
ap-2073	100	13	and	and	CCONJ
ap-2073	100	14	g2	g2	PROPN
ap-2073	100	15	is	be	AUX
ap-2073	100	16	laid	lay	VERB
ap-2073	100	17	down	down	ADP
ap-2073	100	18	in	in	ADP
ap-2073	100	19	fig.1	fig.1	PROPN
ap-2073	100	20	.	.	PUNCT
ap-2073	101	1	we	we	PRON
ap-2073	101	2	start	start	VERB
ap-2073	101	3	with	with	ADP
ap-2073	101	4	a	a	DET
ap-2073	101	5	sample	sample	NOUN
ap-2073	101	6	choice	choice	NOUN
ap-2073	101	7	of	of	ADP
ap-2073	101	8	a	a	DET
ap-2073	101	9	,	,	PUNCT
ap-2073	101	10	b	b	NOUN
ap-2073	101	11	and	and	CCONJ
ap-2073	101	12	g2	g2	PROPN
ap-2073	101	13	(	(	PUNCT
ap-2073	101	14	for	for	ADP
ap-2073	101	15	specific	specific	ADJ
ap-2073	101	16	values	value	NOUN
ap-2073	101	17	of	of	ADP
ap-2073	101	18	these	these	DET
ap-2073	101	19	parameters	parameter	NOUN
ap-2073	101	20	see	see	VERB
ap-2073	101	21	the	the	DET
ap-2073	101	22	corresponding	correspond	VERB
ap-2073	101	23	figure	figure	NOUN
ap-2073	101	24	captions	caption	NOUN
ap-2073	101	25	)	)	PUNCT
ap-2073	101	26	when	when	SCONJ
ap-2073	101	27	the	the	DET
ap-2073	101	28	discrete	discrete	ADJ
ap-2073	101	29	modes	mode	NOUN
ap-2073	101	30	lie	lie	VERB
ap-2073	101	31	on	on	ADP
ap-2073	101	32	the	the	DET
ap-2073	101	33	real	real	ADJ
ap-2073	101	34	axis	axis	NOUN
ap-2073	101	35	.	.	PUNCT
ap-2073	102	1	of	of	ADP
ap-2073	102	2	course	course	ADV
ap-2073	102	3	a	a	DET
ap-2073	102	4	continuous	continuous	ADJ
ap-2073	102	5	change	change	NOUN
ap-2073	102	6	of	of	ADP
ap-2073	102	7	the	the	DET
ap-2073	102	8	parameter	parameter	NOUN
ap-2073	102	9	a	a	PRON
ap-2073	102	10	will	will	AUX
ap-2073	102	11	ultimately	ultimately	ADV
ap-2073	102	12	result	result	VERB
ap-2073	102	13	in	in	ADP
ap-2073	102	14	the	the	DET
ap-2073	102	15	eigenvalues	eigenvalue	NOUN
ap-2073	102	16	appearing	appear	VERB
ap-2073	102	17	with	with	ADP
ap-2073	102	18	a	a	DET
ap-2073	102	19	non	non	ADJ
ap-2073	102	20	-	-	ADJ
ap-2073	102	21	vanishing	vanishing	ADJ
ap-2073	102	22	imaginary	imaginary	ADJ
ap-2073	102	23	part	part	NOUN
ap-2073	102	24	(	(	PUNCT
ap-2073	102	25	discussed	discuss	VERB
ap-2073	102	26	below	below	ADV
ap-2073	102	27	)	)	PUNCT
ap-2073	102	28	.	.	PUNCT
ap-2073	103	1	normalizing	normalize	VERB
ap-2073	103	2	φ0	φ0	PROPN
ap-2073	103	3	to	to	ADP
ap-2073	103	4	unity	unity	NOUN
ap-2073	103	5	without	without	ADP
ap-2073	103	6	any	any	DET
ap-2073	103	7	loss	loss	NOUN
ap-2073	103	8	of	of	ADP
ap-2073	103	9	information	information	NOUN
ap-2073	103	10	,	,	PUNCT
ap-2073	103	11	g1	g1	PROPN
ap-2073	103	12	gets	get	AUX
ap-2073	103	13	automatically	automatically	ADV
ap-2073	103	14	fixed	fix	VERB
ap-2073	103	15	while	while	SCONJ
ap-2073	103	16	b	b	NOUN
ap-2073	103	17	,	,	PUNCT
ap-2073	103	18	λ	λ	PROPN
ap-2073	103	19	and	and	CCONJ
ap-2073	103	20	µ	µ	PRON
ap-2073	103	21	acquire	acquire	VERB
ap-2073	103	22	their	their	PRON
ap-2073	103	23	values	value	NOUN
ap-2073	103	24	from	from	ADP
ap-2073	103	25	the	the	DET
ap-2073	103	26	consistency	consistency	NOUN
ap-2073	103	27	conditions	condition	NOUN
ap-2073	103	28	(	(	PUNCT
ap-2073	103	29	6	6	NUM
ap-2073	103	30	)	)	PUNCT
ap-2073	103	31	.	.	PUNCT
ap-2073	104	1	in	in	ADP
ap-2073	104	2	this	this	DET
ap-2073	104	3	manner	manner	NOUN
ap-2073	104	4	of	of	ADP
ap-2073	104	5	parametrization	parametrization	NOUN
ap-2073	104	6	g1	g1	NOUN
ap-2073	104	7	and	and	CCONJ
ap-2073	104	8	g2	g2	PROPN
ap-2073	104	9	differ	differ	VERB
ap-2073	104	10	in	in	ADP
ap-2073	104	11	sign	sign	NOUN
ap-2073	104	12	while	while	SCONJ
ap-2073	104	13	the	the	DET
ap-2073	104	14	magnitude	magnitude	NOUN
ap-2073	104	15	of	of	ADP
ap-2073	104	16	g1	g1	PROPN
ap-2073	104	17	turns	turn	VERB
ap-2073	104	18	out	out	ADP
ap-2073	104	19	to	to	PART
ap-2073	104	20	be	be	AUX
ap-2073	104	21	weaker	weak	ADJ
ap-2073	104	22	than	than	ADP
ap-2073	104	23	g2	g2	PROPN
ap-2073	104	24	.	.	PUNCT
ap-2073	105	1	in	in	ADP
ap-2073	105	2	fig.2	fig.2	NOUN
ap-2073	105	3	the	the	DET
ap-2073	105	4	plots	plot	NOUN
ap-2073	105	5	are	be	AUX
ap-2073	105	6	sequentially	sequentially	ADV
ap-2073	105	7	arranged	arrange	VERB
ap-2073	105	8	according	accord	VERB
ap-2073	105	9	to	to	ADP
ap-2073	105	10	the	the	DET
ap-2073	105	11	varying	vary	VERB
ap-2073	105	12	strengths	strength	NOUN
ap-2073	105	13	of	of	ADP
ap-2073	105	14	the	the	DET
ap-2073	105	15	couplings	coupling	NOUN
ap-2073	105	16	corresponding	correspond	VERB
ap-2073	105	17	to	to	ADP
ap-2073	105	18	the	the	DET
ap-2073	105	19	cubic	cubic	ADJ
ap-2073	105	20	nonlinear	nonlinear	ADJ
ap-2073	105	21	term	term	NOUN
ap-2073	105	22	and	and	CCONJ
ap-2073	105	23	holding	hold	VERB
ap-2073	105	24	g2	g2	PROPN
ap-2073	105	25	fixed	fix	VERB
ap-2073	105	26	.	.	PUNCT
ap-2073	106	1	we	we	PRON
ap-2073	106	2	note	note	VERB
ap-2073	106	3	that	that	SCONJ
ap-2073	106	4	g1	g1	PROPN
ap-2073	106	5	changes	change	NOUN
ap-2073	106	6	according	accord	VERB
ap-2073	106	7	to	to	ADP
ap-2073	106	8	the	the	DET
ap-2073	106	9	potential	potential	ADJ
ap-2073	106	10	parameter	parameter	NOUN
ap-2073	106	11	a.	a.	NOUN
ap-2073	106	12	a	a	DET
ap-2073	106	13	new	new	ADJ
ap-2073	106	14	type	type	NOUN
ap-2073	106	15	of	of	ADP
ap-2073	106	16	solution	solution	NOUN
ap-2073	106	17	develops	develop	VERB
ap-2073	106	18	at	at	ADP
ap-2073	106	19	this	this	DET
ap-2073	106	20	point	point	NOUN
ap-2073	106	21	due	due	ADP
ap-2073	106	22	to	to	ADP
ap-2073	106	23	the	the	DET
ap-2073	106	24	sensitive	sensitive	ADJ
ap-2073	106	25	dependence	dependence	NOUN
ap-2073	106	26	of	of	ADP
ap-2073	106	27	the	the	DET
ap-2073	106	28	perturbative	perturbative	ADJ
ap-2073	106	29	growth	growth	NOUN
ap-2073	106	30	rate	rate	NOUN
ap-2073	106	31	parameter	parameter	PROPN
ap-2073	106	32	η	η	PROPN
ap-2073	106	33	on	on	ADP
ap-2073	106	34	a	a	PRON
ap-2073	106	35	:	:	PUNCT
ap-2073	106	36	around	around	ADP
ap-2073	106	37	a	a	DET
ap-2073	106	38	=	=	SYM
ap-2073	106	39	0.03	0.03	NUM
ap-2073	106	40	we	we	PRON
ap-2073	106	41	see	see	VERB
ap-2073	106	42	that	that	SCONJ
ap-2073	106	43	as	as	SCONJ
ap-2073	106	44	parameter	parameter	NOUN
ap-2073	106	45	a	a	PRON
ap-2073	106	46	is	be	AUX
ap-2073	106	47	varied	varied	ADJ
ap-2073	106	48	the	the	DET
ap-2073	106	49	discrete	discrete	ADJ
ap-2073	106	50	modes	mode	NOUN
ap-2073	106	51	initially	initially	ADV
ap-2073	106	52	lying	lie	VERB
ap-2073	106	53	on	on	ADP
ap-2073	106	54	the	the	DET
ap-2073	106	55	real	real	ADJ
ap-2073	106	56	axis	axis	NOUN
ap-2073	106	57	mutually	mutually	ADV
ap-2073	106	58	approach	approach	NOUN
ap-2073	106	59	towards	towards	ADP
ap-2073	106	60	the	the	DET
ap-2073	106	61	zero	zero	NUM
ap-2073	106	62	-	-	PUNCT
ap-2073	106	63	mode	mode	NOUN
ap-2073	106	64	eigenvalue	eigenvalue	NOUN
ap-2073	106	65	.	.	PUNCT
ap-2073	107	1	however	however	ADV
ap-2073	107	2	,	,	PUNCT
ap-2073	107	3	further	further	ADJ
ap-2073	107	4	change	change	NOUN
ap-2073	107	5	in	in	ADP
ap-2073	107	6	a	a	DET
ap-2073	107	7	causes	cause	NOUN
ap-2073	107	8	a	a	DET
ap-2073	107	9	pair	pair	NOUN
ap-2073	107	10	of	of	ADP
ap-2073	107	11	imaginary	imaginary	ADJ
ap-2073	107	12	eigenvalues	eigenvalue	NOUN
ap-2073	107	13	to	to	PART
ap-2073	107	14	develop	develop	VERB
ap-2073	107	15	revealing	reveal	VERB
ap-2073	107	16	a	a	DET
ap-2073	107	17	typical	typical	ADJ
ap-2073	107	18	feature	feature	NOUN
ap-2073	107	19	of	of	ADP
ap-2073	107	20	bifurcation	bifurcation	NOUN
ap-2073	107	21	.	.	PUNCT
ap-2073	108	1	we	we	PRON
ap-2073	108	2	next	next	ADV
ap-2073	108	3	carry	carry	VERB
ap-2073	108	4	out	out	ADP
ap-2073	108	5	computations	computation	NOUN
ap-2073	108	6	for	for	ADP
ap-2073	108	7	equal	equal	ADJ
ap-2073	108	8	and	and	CCONJ
ap-2073	108	9	opposite	opposite	ADJ
ap-2073	108	10	values	value	NOUN
ap-2073	108	11	of	of	ADP
ap-2073	108	12	|g1|	|g1|	NOUN
ap-2073	108	13	and	and	CCONJ
ap-2073	108	14	|g2|	|g2|	NOUN
ap-2073	108	15	couplings	coupling	NOUN
ap-2073	108	16	.	.	PUNCT
ap-2073	109	1	in	in	ADP
ap-2073	109	2	fig.3	fig.3	PROPN
ap-2073	109	3	we	we	PRON
ap-2073	109	4	see	see	VERB
ap-2073	109	5	that	that	SCONJ
ap-2073	109	6	in	in	ADP
ap-2073	109	7	such	such	DET
ap-2073	109	8	a	a	DET
ap-2073	109	9	case	case	NOUN
ap-2073	109	10	the	the	DET
ap-2073	109	11	real	real	ADJ
ap-2073	109	12	eigenmodes	eigenmode	NOUN
ap-2073	109	13	lead	lead	VERB
ap-2073	109	14	to	to	ADP
ap-2073	109	15	the	the	DET
ap-2073	109	16	solitonic	solitonic	ADJ
ap-2073	109	17	solutions	solution	NOUN
ap-2073	109	18	becoming	become	VERB
ap-2073	109	19	unstable	unstable	ADJ
ap-2073	109	20	.	.	PUNCT
ap-2073	110	1	a	a	DET
ap-2073	110	2	similar	similar	ADJ
ap-2073	110	3	situation	situation	NOUN
ap-2073	110	4	exists	exist	VERB
ap-2073	110	5	in	in	ADP
ap-2073	110	6	fig.4	fig.4	PROPN
ap-2073	110	7	81	81	NUM
ap-2073	110	8	b.	b.	PROPN
ap-2073	110	9	bagchi	bagchi	PROPN
ap-2073	110	10	,	,	PUNCT
ap-2073	110	11	s.	s.	PROPN
ap-2073	110	12	modak	modak	PROPN
ap-2073	110	13	,	,	PUNCT
ap-2073	110	14	p.	p.	PROPN
ap-2073	110	15	k.	k.	PROPN
ap-2073	111	1	panigrahi	panigrahi	PROPN
ap-2073	111	2	acta	acta	PROPN
ap-2073	111	3	polytechnica	polytechnica	PROPN
ap-2073	111	4	−0.2	−0.2	PROPN
ap-2073	112	1	−0.1	−0.1	PROPN
ap-2073	112	2	0	0	NUM
ap-2073	112	3	0.1	0.1	NUM
ap-2073	112	4	0.2	0.2	NUM
ap-2073	112	5	0.3	0.3	NUM
ap-2073	112	6	−2	−2	NOUN
ap-2073	112	7	−1.5	−1.5	PROPN
ap-2073	112	8	−1	−1	NOUN
ap-2073	113	1	−0.5	−0.5	NOUN
ap-2073	113	2	0	0	NUM
ap-2073	113	3	0.5	0.5	NUM
ap-2073	113	4	1	1	NUM
ap-2073	113	5	1.5	1.5	NUM
ap-2073	113	6	2	2	NUM
ap-2073	113	7	re	re	X
ap-2073	113	8	η	η	PROPN
ap-2073	113	9	i	i	PROPN
ap-2073	113	10	m	m	PROPN
ap-2073	113	11	η	η	PROPN
ap-2073	113	12	−0.2	−0.2	PROPN
ap-2073	113	13	−0.1	−0.1	PROPN
ap-2073	113	14	0	0	NUM
ap-2073	113	15	0.1	0.1	NUM
ap-2073	113	16	0.2	0.2	NUM
ap-2073	113	17	−2	−2	NOUN
ap-2073	113	18	−1.5	−1.5	PROPN
ap-2073	113	19	−1	−1	NOUN
ap-2073	113	20	−0.5	−0.5	NOUN
ap-2073	113	21	0	0	NUM
ap-2073	113	22	0.5	0.5	NUM
ap-2073	113	23	1	1	NUM
ap-2073	113	24	1.5	1.5	NUM
ap-2073	113	25	2	2	NUM
ap-2073	113	26	re	re	X
ap-2073	113	27	η	η	PROPN
ap-2073	113	28	i	i	PROPN
ap-2073	113	29	m	m	PROPN
ap-2073	113	30	η	η	PROPN
ap-2073	113	31	−0.2	−0.2	PROPN
ap-2073	113	32	−0.1	−0.1	PROPN
ap-2073	113	33	0	0	NUM
ap-2073	113	34	0.1	0.1	NUM
ap-2073	113	35	0.2	0.2	NUM
ap-2073	113	36	−2	−2	NOUN
ap-2073	113	37	−1.5	−1.5	PROPN
ap-2073	113	38	−1	−1	NOUN
ap-2073	113	39	−0.5	−0.5	NOUN
ap-2073	113	40	0	0	NUM
ap-2073	113	41	0.5	0.5	NUM
ap-2073	113	42	1	1	NUM
ap-2073	113	43	1.5	1.5	NUM
ap-2073	113	44	2	2	NUM
ap-2073	113	45	re	re	X
ap-2073	113	46	η	η	PROPN
ap-2073	113	47	i	i	PROPN
ap-2073	113	48	m	m	PROPN
ap-2073	113	49	η	η	PROPN
ap-2073	113	50	−0.2	−0.2	PROPN
ap-2073	113	51	−0.1	−0.1	PROPN
ap-2073	113	52	0	0	NUM
ap-2073	113	53	0.1	0.1	NUM
ap-2073	113	54	0.2	0.2	NUM
ap-2073	113	55	−2	−2	NOUN
ap-2073	113	56	−1.5	−1.5	PROPN
ap-2073	113	57	−1	−1	NOUN
ap-2073	113	58	−0.5	−0.5	NOUN
ap-2073	113	59	0	0	NUM
ap-2073	113	60	0.5	0.5	NUM
ap-2073	113	61	1	1	NUM
ap-2073	113	62	1.5	1.5	NUM
ap-2073	113	63	2	2	NUM
ap-2073	113	64	re	re	X
ap-2073	113	65	η	η	PROPN
ap-2073	113	66	i	i	PROPN
ap-2073	113	67	m	m	PROPN
ap-2073	113	68	η	η	NOUN
ap-2073	113	69	figure	figure	NOUN
ap-2073	113	70	2	2	NUM
ap-2073	113	71	.	.	PUNCT
ap-2073	113	72	sequentially	sequentially	ADV
ap-2073	113	73	computed	compute	VERB
ap-2073	113	74	eigenmode	eigenmode	ADJ
ap-2073	113	75	behavior	behavior	NOUN
ap-2073	113	76	for	for	ADP
ap-2073	113	77	b=.003	b=.003	NOUN
ap-2073	113	78	,	,	PUNCT
ap-2073	113	79	v1	v1	NOUN
ap-2073	113	80	=	=	SYM
ap-2073	113	81	g2	g2	PROPN
ap-2073	113	82	=	=	SYM
ap-2073	113	83	−4	−4	PROPN
ap-2073	113	84	and	and	CCONJ
ap-2073	113	85	κ	κ	X
ap-2073	113	86	=	=	NOUN
ap-2073	113	87	3	3	X
ap-2073	113	88	.	.	PUNCT
ap-2073	114	1	in	in	ADP
ap-2073	114	2	this	this	DET
ap-2073	114	3	case	case	NOUN
ap-2073	114	4	the	the	DET
ap-2073	114	5	coupling	coupling	NOUN
ap-2073	114	6	parameters	parameter	NOUN
ap-2073	114	7	corresponding	correspond	VERB
ap-2073	114	8	to	to	ADP
ap-2073	114	9	cubic	cubic	ADJ
ap-2073	114	10	nonlinearity	nonlinearity	NOUN
ap-2073	114	11	are	be	AUX
ap-2073	114	12	varied	varied	ADJ
ap-2073	114	13	against	against	ADP
ap-2073	114	14	the	the	DET
ap-2073	114	15	potential	potential	ADJ
ap-2073	114	16	parameter	parameter	NOUN
ap-2073	114	17	a	a	PRON
ap-2073	114	18	continuously	continuously	ADV
ap-2073	114	19	from	from	ADP
ap-2073	114	20	a	a	DET
ap-2073	114	21	=	=	NOUN
ap-2073	114	22	.03	.03	NUM
ap-2073	114	23	to	to	PART
ap-2073	114	24	.09	.09	NUM
ap-2073	114	25	.	.	PUNCT
ap-2073	115	1	four	four	NUM
ap-2073	115	2	different	different	ADJ
ap-2073	115	3	values	value	NOUN
ap-2073	115	4	of	of	ADP
ap-2073	115	5	a	a	DET
ap-2073	115	6	as	as	ADP
ap-2073	115	7	a=.03	a=.03	ADV
ap-2073	115	8	,	,	PUNCT
ap-2073	115	9	a=.04	a=.04	NOUN
ap-2073	115	10	,	,	PUNCT
ap-2073	115	11	a=.05	a=.05	NOUN
ap-2073	115	12	,	,	PUNCT
ap-2073	115	13	a=	a=	X
ap-2073	115	14	.09	.09	NUM
ap-2073	115	15	are	be	AUX
ap-2073	115	16	considered	consider	VERB
ap-2073	115	17	and	and	CCONJ
ap-2073	115	18	the	the	DET
ap-2073	115	19	figures	figure	NOUN
ap-2073	115	20	are	be	AUX
ap-2073	115	21	arranged	arrange	VERB
ap-2073	115	22	in	in	ADP
ap-2073	115	23	such	such	DET
ap-2073	115	24	a	a	DET
ap-2073	115	25	way	way	NOUN
ap-2073	115	26	that	that	PRON
ap-2073	115	27	the	the	DET
ap-2073	115	28	lowest	low	ADJ
ap-2073	115	29	value	value	NOUN
ap-2073	115	30	of	of	ADP
ap-2073	115	31	a	a	DET
ap-2073	115	32	corresponds	correspond	NOUN
ap-2073	115	33	to	to	ADP
ap-2073	115	34	the	the	DET
ap-2073	115	35	figure	figure	NOUN
ap-2073	115	36	at	at	ADP
ap-2073	115	37	the	the	DET
ap-2073	115	38	left	left	NOUN
ap-2073	115	39	and	and	CCONJ
ap-2073	115	40	the	the	DET
ap-2073	115	41	highest	high	ADJ
ap-2073	115	42	to	to	ADP
ap-2073	115	43	the	the	DET
ap-2073	115	44	figure	figure	NOUN
ap-2073	115	45	at	at	ADP
ap-2073	115	46	the	the	DET
ap-2073	115	47	right	right	NOUN
ap-2073	115	48	.	.	PUNCT
ap-2073	116	1	−3	−3	PROPN
ap-2073	116	2	−2	−2	PROPN
ap-2073	116	3	−1	−1	NOUN
ap-2073	116	4	0	0	NUM
ap-2073	116	5	1	1	NUM
ap-2073	116	6	2	2	NUM
ap-2073	116	7	3	3	NUM
ap-2073	116	8	−60	−60	NOUN
ap-2073	116	9	−40	−40	NOUN
ap-2073	117	1	−20	−20	NOUN
ap-2073	117	2	0	0	NUM
ap-2073	117	3	20	20	NUM
ap-2073	117	4	40	40	NUM
ap-2073	117	5	60	60	NUM
ap-2073	117	6	re	re	VERB
ap-2073	117	7	η	η	PROPN
ap-2073	117	8	i	i	PROPN
ap-2073	117	9	m	m	PROPN
ap-2073	117	10	η	η	NOUN
ap-2073	117	11	figure	figure	NOUN
ap-2073	117	12	1	1	NUM
ap-2073	117	13	.	.	PUNCT
ap-2073	117	14	numerically	numerically	ADV
ap-2073	117	15	computed	compute	VERB
ap-2073	117	16	eigenmode	eigenmode	ADJ
ap-2073	117	17	distribution	distribution	NOUN
ap-2073	117	18	.	.	PUNCT
ap-2073	118	1	in	in	ADP
ap-2073	118	2	this	this	DET
ap-2073	118	3	case	case	NOUN
ap-2073	118	4	we	we	PRON
ap-2073	118	5	have	have	AUX
ap-2073	118	6	considered	consider	VERB
ap-2073	118	7	a	a	DET
ap-2073	118	8	=	=	SYM
ap-2073	118	9	.01	.01	NUM
ap-2073	118	10	,	,	PUNCT
ap-2073	118	11	b	b	X
ap-2073	118	12	=	=	SYM
ap-2073	118	13	.3	.3	NUM
ap-2073	118	14	,	,	PUNCT
ap-2073	118	15	v1	v1	NOUN
ap-2073	118	16	=	=	SYM
ap-2073	118	17	g2	g2	PROPN
ap-2073	118	18	=	=	SYM
ap-2073	118	19	−4	−4	PROPN
ap-2073	118	20	,	,	PUNCT
ap-2073	118	21	g1	g1	NOUN
ap-2073	118	22	=	=	NOUN
ap-2073	118	23	2.01	2.01	NUM
ap-2073	118	24	and	and	CCONJ
ap-2073	118	25	κ	κ	X
ap-2073	118	26	=	=	SYM
ap-2073	118	27	3	3	X
ap-2073	118	28	.	.	NOUN
ap-2073	118	29	specification	specification	NOUN
ap-2073	118	30	of	of	ADP
ap-2073	118	31	g1	g1	PROPN
ap-2073	118	32	is	be	AUX
ap-2073	118	33	done	do	VERB
ap-2073	118	34	by	by	ADP
ap-2073	118	35	choosing	choose	VERB
ap-2073	118	36	the	the	DET
ap-2073	118	37	potential	potential	ADJ
ap-2073	118	38	parameter	parameter	NOUN
ap-2073	118	39	a.	a.	NOUN
ap-2073	118	40	−0.2	−0.2	PROPN
ap-2073	119	1	−0.1	−0.1	PROPN
ap-2073	119	2	0	0	NUM
ap-2073	119	3	0.1	0.1	NUM
ap-2073	119	4	0.2	0.2	NUM
ap-2073	119	5	−20	−20	PROPN
ap-2073	119	6	−15	−15	NOUN
ap-2073	119	7	−10	−10	X
ap-2073	119	8	−5	−5	ADV
ap-2073	119	9	0	0	NUM
ap-2073	119	10	5	5	NUM
ap-2073	119	11	10	10	NUM
ap-2073	119	12	15	15	NUM
ap-2073	119	13	20	20	NUM
ap-2073	119	14	re	re	X
ap-2073	119	15	η	η	PROPN
ap-2073	119	16	i	i	PROPN
ap-2073	119	17	m	m	PROPN
ap-2073	119	18	η	η	NOUN
ap-2073	119	19	figure	figure	NOUN
ap-2073	119	20	3	3	NUM
ap-2073	119	21	.	.	PUNCT
ap-2073	120	1	the	the	DET
ap-2073	120	2	figure	figure	NOUN
ap-2073	120	3	shows	show	VERB
ap-2073	120	4	the	the	DET
ap-2073	120	5	unstable	unstable	ADJ
ap-2073	120	6	modes	mode	NOUN
ap-2073	120	7	for	for	ADP
ap-2073	120	8	the	the	DET
ap-2073	120	9	coupling	coupling	NOUN
ap-2073	120	10	parameters	parameter	NOUN
ap-2073	120	11	|g1|	|g1|	PROPN
ap-2073	120	12	and	and	CCONJ
ap-2073	120	13	|g2|	|g2|	NOUN
ap-2073	120	14	with	with	ADP
ap-2073	120	15	equal	equal	ADJ
ap-2073	120	16	and	and	CCONJ
ap-2073	120	17	opposite	opposite	ADJ
ap-2073	120	18	strengths	strength	NOUN
ap-2073	120	19	.	.	PUNCT
ap-2073	121	1	distribution	distribution	NOUN
ap-2073	121	2	of	of	ADP
ap-2073	121	3	eigenmodes	eigenmode	NOUN
ap-2073	121	4	for	for	ADP
ap-2073	121	5	a=1	a=1	NOUN
ap-2073	121	6	,	,	PUNCT
ap-2073	121	7	b=.003	b=.003	NOUN
ap-2073	121	8	,	,	PUNCT
ap-2073	121	9	g1=4	g1=4	PROPN
ap-2073	121	10	,	,	PUNCT
ap-2073	121	11	v1	v1	PROPN
ap-2073	121	12	=	=	SYM
ap-2073	121	13	g2	g2	PROPN
ap-2073	121	14	=	=	SYM
ap-2073	121	15	−4	−4	PROPN
ap-2073	121	16	and	and	CCONJ
ap-2073	121	17	κ	κ	X
ap-2073	121	18	=	=	NOUN
ap-2073	122	1	3	3	NUM
ap-2073	122	2	.	.	NOUN
ap-2073	122	3	82	82	NUM
ap-2073	122	4	vol	vol	NOUN
ap-2073	122	5	.	.	PUNCT
ap-2073	123	1	54	54	NUM
ap-2073	123	2	no	no	NOUN
ap-2073	123	3	.	.	PUNCT
ap-2073	124	1	2/2014	2/2014	NUM
ap-2073	124	2	tracking	track	VERB
ap-2073	124	3	down	down	ADP
ap-2073	124	4	localized	localize	VERB
ap-2073	124	5	modes	mode	NOUN
ap-2073	124	6	in	in	ADP
ap-2073	124	7	pt	pt	ADJ
ap-2073	124	8	-	-	ADJ
ap-2073	124	9	symmetric	symmetric	ADJ
ap-2073	124	10	hamiltonians	hamiltonian	NOUN
ap-2073	124	11	−0.2	−0.2	PROPN
ap-2073	124	12	−0.1	−0.1	PROPN
ap-2073	124	13	0	0	NUM
ap-2073	124	14	0.1	0.1	NUM
ap-2073	124	15	0.2	0.2	NUM
ap-2073	124	16	−2	−2	NOUN
ap-2073	124	17	−1.5	−1.5	PROPN
ap-2073	124	18	−1	−1	NOUN
ap-2073	124	19	−0.5	−0.5	NOUN
ap-2073	124	20	0	0	NUM
ap-2073	124	21	0.5	0.5	NUM
ap-2073	124	22	1	1	NUM
ap-2073	124	23	1.5	1.5	NUM
ap-2073	124	24	2	2	NUM
ap-2073	124	25	re	re	X
ap-2073	124	26	η	η	PROPN
ap-2073	124	27	i	i	PROPN
ap-2073	124	28	m	m	PROPN
ap-2073	124	29	η	η	PROPN
ap-2073	124	30	−0.2	−0.2	PROPN
ap-2073	124	31	−0.1	−0.1	PROPN
ap-2073	124	32	0	0	NUM
ap-2073	124	33	0.1	0.1	NUM
ap-2073	124	34	0.2	0.2	NUM
ap-2073	124	35	0.3	0.3	NUM
ap-2073	124	36	−4	−4	NOUN
ap-2073	124	37	−3	−3	PROPN
ap-2073	124	38	−2	−2	PROPN
ap-2073	124	39	−1	−1	NOUN
ap-2073	124	40	0	0	NUM
ap-2073	124	41	1	1	NUM
ap-2073	124	42	2	2	NUM
ap-2073	124	43	3	3	NUM
ap-2073	124	44	4	4	NUM
ap-2073	124	45	re	re	X
ap-2073	124	46	η	η	PROPN
ap-2073	124	47	i	i	PROPN
ap-2073	124	48	m	m	PROPN
ap-2073	124	49	η	η	NOUN
ap-2073	124	50	figure	figure	NOUN
ap-2073	124	51	4	4	NUM
ap-2073	124	52	.	.	PUNCT
ap-2073	124	53	figure	figure	NOUN
ap-2073	124	54	at	at	ADP
ap-2073	124	55	the	the	DET
ap-2073	124	56	left	left	NOUN
ap-2073	124	57	showing	show	VERB
ap-2073	124	58	the	the	DET
ap-2073	124	59	unstable	unstable	ADJ
ap-2073	124	60	modes	mode	NOUN
ap-2073	124	61	corresponding	correspond	VERB
ap-2073	124	62	to	to	ADP
ap-2073	124	63	equal	equal	ADJ
ap-2073	124	64	-	-	PUNCT
ap-2073	124	65	strength	strength	NOUN
ap-2073	124	66	couplings	coupling	NOUN
ap-2073	124	67	for	for	ADP
ap-2073	124	68	the	the	DET
ap-2073	124	69	choice	choice	NOUN
ap-2073	124	70	g1	g1	NOUN
ap-2073	124	71	=	=	SYM
ap-2073	124	72	4	4	NUM
ap-2073	124	73	,	,	PUNCT
ap-2073	124	74	g2	g2	PROPN
ap-2073	124	75	=	=	PUNCT
ap-2073	124	76	4	4	NUM
ap-2073	124	77	obtained	obtain	VERB
ap-2073	124	78	from	from	ADP
ap-2073	124	79	(	(	PUNCT
ap-2073	124	80	6	6	NUM
ap-2073	124	81	)	)	PUNCT
ap-2073	124	82	and	and	CCONJ
ap-2073	124	83	κ	κ	X
ap-2073	124	84	=	=	NOUN
ap-2073	124	85	3	3	X
ap-2073	124	86	.	.	PUNCT
ap-2073	125	1	the	the	DET
ap-2073	125	2	potential	potential	ADJ
ap-2073	125	3	parameters	parameter	NOUN
ap-2073	125	4	are	be	AUX
ap-2073	125	5	taken	take	VERB
ap-2073	125	6	to	to	PART
ap-2073	125	7	be	be	AUX
ap-2073	125	8	a	a	PRON
ap-2073	125	9	=	=	SYM
ap-2073	125	10	1	1	NUM
ap-2073	125	11	and	and	CCONJ
ap-2073	125	12	b	b	NOUN
ap-2073	125	13	=	=	SYM
ap-2073	125	14	.003	.003	NUM
ap-2073	125	15	.	.	PUNCT
ap-2073	126	1	the	the	DET
ap-2073	126	2	figure	figure	NOUN
ap-2073	126	3	at	at	ADP
ap-2073	126	4	the	the	DET
ap-2073	126	5	right	right	ADJ
ap-2073	126	6	corresponds	correspond	NOUN
ap-2073	126	7	to	to	ADP
ap-2073	126	8	the	the	DET
ap-2073	126	9	evaluation	evaluation	NOUN
ap-2073	126	10	of	of	ADP
ap-2073	126	11	class	class	NOUN
ap-2073	126	12	ii	ii	NOUN
ap-2073	126	13	solution	solution	NOUN
ap-2073	126	14	under	under	ADP
ap-2073	126	15	the	the	DET
ap-2073	126	16	same	same	ADJ
ap-2073	126	17	parametrizations	parametrization	NOUN
ap-2073	126	18	.	.	PUNCT
ap-2073	127	1	the	the	DET
ap-2073	127	2	coupling	coupling	NOUN
ap-2073	127	3	strengths	strength	NOUN
ap-2073	127	4	for	for	ADP
ap-2073	127	5	class	class	NOUN
ap-2073	127	6	ii	ii	PROPN
ap-2073	127	7	are	be	AUX
ap-2073	127	8	g1	g1	NOUN
ap-2073	127	9	=	=	SYM
ap-2073	127	10	4	4	NUM
ap-2073	127	11	and	and	CCONJ
ap-2073	127	12	g2	g2	PROPN
ap-2073	127	13	=	=	PUNCT
ap-2073	127	14	2.44	2.44	NUM
ap-2073	127	15	obtained	obtain	VERB
ap-2073	127	16	from	from	ADP
ap-2073	127	17	(	(	PUNCT
ap-2073	127	18	10	10	NUM
ap-2073	127	19	)	)	PUNCT
ap-2073	127	20	.	.	PUNCT
ap-2073	128	1	where	where	SCONJ
ap-2073	128	2	oscillatory	oscillatory	ADJ
ap-2073	128	3	instability	instability	NOUN
ap-2073	128	4	along	along	ADP
ap-2073	128	5	the	the	DET
ap-2073	128	6	imaginary	imaginary	ADJ
ap-2073	128	7	axis	axis	NOUN
ap-2073	128	8	is	be	AUX
ap-2073	128	9	caused	cause	VERB
ap-2073	128	10	by	by	ADP
ap-2073	128	11	the	the	DET
ap-2073	128	12	equal	equal	ADJ
ap-2073	128	13	-	-	PUNCT
ap-2073	128	14	strength	strength	NOUN
ap-2073	128	15	coupling	couple	VERB
ap-2073	128	16	parameters	parameter	NOUN
ap-2073	128	17	from	from	ADP
ap-2073	128	18	the	the	DET
ap-2073	128	19	two	two	NUM
ap-2073	128	20	nonlinear	nonlinear	ADJ
ap-2073	128	21	terms	term	NOUN
ap-2073	128	22	.	.	PUNCT
ap-2073	129	1	finally	finally	ADV
ap-2073	129	2	,	,	PUNCT
ap-2073	129	3	let	let	VERB
ap-2073	129	4	us	we	PRON
ap-2073	129	5	point	point	VERB
ap-2073	129	6	out	out	ADP
ap-2073	129	7	that	that	SCONJ
ap-2073	129	8	class	class	PROPN
ap-2073	129	9	ii	ii	PROPN
ap-2073	129	10	solutions	solution	NOUN
ap-2073	129	11	can	can	AUX
ap-2073	129	12	be	be	AUX
ap-2073	129	13	evaluated	evaluate	VERB
ap-2073	129	14	under	under	ADP
ap-2073	129	15	various	various	ADJ
ap-2073	129	16	parametric	parametric	ADJ
ap-2073	129	17	conditions	condition	NOUN
ap-2073	129	18	.	.	PUNCT
ap-2073	130	1	here	here	ADV
ap-2073	130	2	we	we	PRON
ap-2073	130	3	inevitably	inevitably	ADV
ap-2073	130	4	run	run	VERB
ap-2073	130	5	into	into	ADP
ap-2073	130	6	the	the	DET
ap-2073	130	7	unstable	unstable	ADJ
ap-2073	130	8	character	character	NOUN
ap-2073	130	9	of	of	ADP
ap-2073	130	10	the	the	DET
ap-2073	130	11	soliton	soliton	NOUN
ap-2073	130	12	solutions	solution	NOUN
ap-2073	130	13	(	(	PUNCT
ap-2073	130	14	in	in	ADP
ap-2073	130	15	figure	figure	NOUN
ap-2073	130	16	4	4	NUM
ap-2073	130	17	one	one	NUM
ap-2073	130	18	such	such	ADJ
ap-2073	130	19	situation	situation	NOUN
ap-2073	130	20	is	be	AUX
ap-2073	130	21	described	describe	VERB
ap-2073	130	22	to	to	PART
ap-2073	130	23	compare	compare	VERB
ap-2073	130	24	with	with	ADP
ap-2073	130	25	the	the	DET
ap-2073	130	26	counterpart	counterpart	NOUN
ap-2073	130	27	of	of	ADP
ap-2073	130	28	class	class	NOUN
ap-2073	130	29	i	i	PROPN
ap-2073	130	30	solution	solution	NOUN
ap-2073	130	31	)	)	PUNCT
ap-2073	130	32	.	.	PUNCT
ap-2073	131	1	it	it	PRON
ap-2073	131	2	should	should	AUX
ap-2073	131	3	be	be	AUX
ap-2073	131	4	emphasized	emphasize	VERB
ap-2073	131	5	that	that	SCONJ
ap-2073	131	6	for	for	ADP
ap-2073	131	7	the	the	DET
ap-2073	131	8	various	various	ADJ
ap-2073	131	9	runs	run	NOUN
ap-2073	131	10	of	of	ADP
ap-2073	131	11	the	the	DET
ap-2073	131	12	parameters	parameter	NOUN
ap-2073	131	13	we	we	PRON
ap-2073	131	14	were	be	AUX
ap-2073	131	15	unable	unable	ADJ
ap-2073	131	16	to	to	PART
ap-2073	131	17	track	track	VERB
ap-2073	131	18	down	down	ADP
ap-2073	131	19	any	any	DET
ap-2073	131	20	feature	feature	NOUN
ap-2073	131	21	of	of	ADP
ap-2073	131	22	bifurcation	bifurcation	NOUN
ap-2073	131	23	characterized	characterize	VERB
ap-2073	131	24	by	by	ADP
ap-2073	131	25	the	the	DET
ap-2073	131	26	growth	growth	NOUN
ap-2073	131	27	rate	rate	NOUN
ap-2073	131	28	parameter	parameter	NOUN
ap-2073	131	29	crossing	cross	VERB
ap-2073	131	30	the	the	DET
ap-2073	131	31	zero	zero	NUM
ap-2073	131	32	-	-	PUNCT
ap-2073	131	33	threshold	threshold	NOUN
ap-2073	131	34	value	value	NOUN
ap-2073	131	35	and	and	CCONJ
ap-2073	131	36	transiting	transiting	NOUN
ap-2073	131	37	to	to	ADP
ap-2073	131	38	the	the	DET
ap-2073	131	39	complex	complex	ADJ
ap-2073	131	40	plane	plane	NOUN
ap-2073	131	41	.	.	PUNCT
ap-2073	132	1	acknowledgements	acknowledgement	NOUN
ap-2073	132	2	we	we	PRON
ap-2073	132	3	thank	thank	VERB
ap-2073	132	4	dr	dr	PROPN
ap-2073	132	5	.	.	PROPN
ap-2073	132	6	abhijit	abhijit	PROPN
ap-2073	132	7	banerjee	banerjee	PROPN
ap-2073	132	8	for	for	ADP
ap-2073	132	9	useful	useful	ADJ
ap-2073	132	10	discussions	discussion	NOUN
ap-2073	132	11	and	and	CCONJ
ap-2073	132	12	the	the	DET
ap-2073	132	13	referee	referee	NOUN
ap-2073	132	14	for	for	ADP
ap-2073	132	15	making	make	VERB
ap-2073	132	16	a	a	DET
ap-2073	132	17	number	number	NOUN
ap-2073	132	18	of	of	ADP
ap-2073	132	19	constructive	constructive	ADJ
ap-2073	132	20	suggestions	suggestion	NOUN
ap-2073	132	21	.	.	PUNCT
ap-2073	133	1	references	reference	NOUN
ap-2073	133	2	[	[	X
ap-2073	133	3	1	1	NUM
ap-2073	133	4	]	]	PUNCT
ap-2073	133	5	c.	c.	PROPN
ap-2073	133	6	m.	m.	PROPN
ap-2073	133	7	bender	bender	PROPN
ap-2073	133	8	and	and	CCONJ
ap-2073	133	9	s.	s.	PROPN
ap-2073	133	10	boettcher	boettcher	PROPN
ap-2073	133	11	phys	phys	PROPN
ap-2073	133	12	.	.	PUNCT
ap-2073	134	1	rev	rev	PROPN
ap-2073	134	2	.	.	PROPN
ap-2073	134	3	lett	lett	PROPN
ap-2073	134	4	.	.	PROPN
ap-2073	135	1	80	80	NUM
ap-2073	135	2	5243	5243	NUM
ap-2073	135	3	(	(	PUNCT
ap-2073	135	4	1998	1998	NUM
ap-2073	135	5	)	)	PUNCT
ap-2073	135	6	.	.	PUNCT
ap-2073	136	1	doi	doi	NOUN
ap-2073	136	2	:	:	PUNCT
ap-2073	136	3	10.1103	10.1103	NUM
ap-2073	136	4	/	/	SYM
ap-2073	136	5	physrevlett.80.5243	physrevlett.80.5243	NOUN
ap-2073	137	1	[	[	X
ap-2073	137	2	2	2	NUM
ap-2073	137	3	]	]	PUNCT
ap-2073	137	4	c.	c.	PROPN
ap-2073	137	5	m.	m.	PROPN
ap-2073	137	6	bender	bender	PROPN
ap-2073	137	7	contemp	contemp	NOUN
ap-2073	137	8	.	.	PUNCT
ap-2073	138	1	phys	phy	NOUN
ap-2073	138	2	.	.	PUNCT
ap-2073	139	1	46	46	NUM
ap-2073	139	2	277	277	NUM
ap-2073	139	3	(	(	PUNCT
ap-2073	139	4	2005	2005	NUM
ap-2073	139	5	)	)	PUNCT
ap-2073	139	6	.	.	PUNCT
ap-2073	140	1	doi	doi	NOUN
ap-2073	140	2	:	:	PUNCT
ap-2073	140	3	10.1080/00107500072632	10.1080/00107500072632	NUM
ap-2073	140	4	[	[	X
ap-2073	140	5	3	3	NUM
ap-2073	140	6	]	]	X
ap-2073	140	7	c.	c.	PROPN
ap-2073	140	8	m.	m.	PROPN
ap-2073	140	9	bender	bender	PROPN
ap-2073	140	10	repts	rept	NOUN
ap-2073	140	11	.	.	PUNCT
ap-2073	141	1	prog	prog	NOUN
ap-2073	141	2	.	.	PUNCT
ap-2073	142	1	phys	phy	NOUN
ap-2073	142	2	.	.	PUNCT
ap-2073	143	1	70	70	NUM
ap-2073	143	2	947	947	NUM
ap-2073	143	3	(	(	PUNCT
ap-2073	143	4	2007	2007	NUM
ap-2073	143	5	)	)	PUNCT
ap-2073	143	6	.	.	PUNCT
ap-2073	144	1	doi	doi	NOUN
ap-2073	144	2	:	:	PUNCT
ap-2073	144	3	10.1088/0034	10.1088/0034	NUM
ap-2073	144	4	-	-	SYM
ap-2073	144	5	4885/70/6	4885/70/6	NOUN
ap-2073	144	6	/	/	SYM
ap-2073	144	7	r03	r03	NOUN
ap-2073	144	8	[	[	X
ap-2073	144	9	4	4	NUM
ap-2073	144	10	]	]	PUNCT
ap-2073	144	11	a.	a.	NOUN
ap-2073	144	12	mostafazadeh	mostafazadeh	PROPN
ap-2073	144	13	int	int	PROPN
ap-2073	144	14	.	.	PUNCT
ap-2073	145	1	j.	j.	PROPN
ap-2073	145	2	geom	geom	PROPN
ap-2073	145	3	.	.	PUNCT
ap-2073	146	1	methods	methods	PROPN
ap-2073	146	2	mod	mod	PROPN
ap-2073	146	3	.	.	PUNCT
ap-2073	147	1	phys	phy	NOUN
ap-2073	147	2	.	.	PUNCT
ap-2073	148	1	7	7	NUM
ap-2073	148	2	1191	1191	NUM
ap-2073	148	3	(	(	PUNCT
ap-2073	148	4	2010	2010	NUM
ap-2073	148	5	)	)	PUNCT
ap-2073	148	6	.	.	PUNCT
ap-2073	149	1	[	[	X
ap-2073	149	2	5	5	X
ap-2073	149	3	]	]	PUNCT
ap-2073	149	4	m.	m.	NOUN
ap-2073	149	5	znojil	znojil	NOUN
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ap-2073	150	1	a285	a285	PROPN
ap-2073	150	2	7	7	NUM
ap-2073	150	3	(	(	PUNCT
ap-2073	150	4	2001	2001	NUM
ap-2073	150	5	)	)	PUNCT
ap-2073	150	6	.	.	PUNCT
ap-2073	151	1	[	[	X
ap-2073	151	2	6	6	NUM
ap-2073	151	3	]	]	PUNCT
ap-2073	151	4	b.	b.	PROPN
ap-2073	151	5	bagchi	bagchi	PROPN
ap-2073	151	6	,	,	PUNCT
ap-2073	151	7	s.	s.	PROPN
ap-2073	151	8	mallik	mallik	PROPN
ap-2073	151	9	and	and	CCONJ
ap-2073	151	10	c.	c.	PROPN
ap-2073	151	11	quesne	quesne	NOUN
ap-2073	151	12	mod.phys.lett	mod.phys.lett	PROPN
ap-2073	151	13	.	.	PUNCT
ap-2073	152	1	a17	a17	PROPN
ap-2073	152	2	1651	1651	NUM
ap-2073	152	3	(	(	PUNCT
ap-2073	152	4	2002	2002	NUM
ap-2073	152	5	)	)	PUNCT
ap-2073	152	6	.	.	PUNCT
ap-2073	153	1	doi	doi	NOUN
ap-2073	153	2	:	:	PUNCT
ap-2073	153	3	10.1142	10.1142	NUM
ap-2073	153	4	/	/	SYM
ap-2073	153	5	s0217732302008009	s0217732302008009	PROPN
ap-2073	154	1	[	[	X
ap-2073	154	2	7	7	X
ap-2073	154	3	]	]	PUNCT
ap-2073	154	4	k.	k.	PROPN
ap-2073	154	5	abhinav	abhinav	PROPN
ap-2073	154	6	and	and	CCONJ
ap-2073	154	7	p.	p.	PROPN
ap-2073	154	8	k.	k.	PROPN
ap-2073	155	1	panigrahi	panigrahi	PROPN
ap-2073	155	2	ann.phys.(n.y	ann.phys.(n.y	PROPN
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ap-2073	155	4	)	)	PUNCT
ap-2073	156	1	325	325	NUM
ap-2073	156	2	1198	1198	NUM
ap-2073	156	3	(	(	PUNCT
ap-2073	156	4	2010	2010	NUM
ap-2073	156	5	)	)	PUNCT
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ap-2073	156	8	.	.	PUNCT
ap-2073	157	1	326	326	NUM
ap-2073	157	2	538	538	NUM
ap-2073	157	3	(	(	PUNCT
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ap-2073	157	5	)	)	PUNCT
ap-2073	157	6	.	.	PUNCT
ap-2073	158	1	[	[	X
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ap-2073	158	8	j.	j.	PROPN
ap-2073	158	9	salamo	salamo	PROPN
ap-2073	158	10	,	,	PUNCT
ap-2073	158	11	d.	d.	PROPN
ap-2073	158	12	duchesne	duchesne	PROPN
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ap-2073	158	14	r.	r.	PROPN
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ap-2073	158	21	,	,	PUNCT
ap-2073	158	22	v.	v.	X
ap-2073	158	23	aimez	aimez	PROPN
ap-2073	158	24	,	,	PUNCT
ap-2073	158	25	g.	g.	PROPN
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ap-2073	158	30	n.	n.	PROPN
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ap-2073	159	1	rev	rev	PROPN
ap-2073	159	2	.	.	PROPN
ap-2073	159	3	lett	lett	PROPN
ap-2073	159	4	.	.	PROPN
ap-2073	160	1	103	103	NUM
ap-2073	160	2	093902	093902	NUM
ap-2073	160	3	(	(	PUNCT
ap-2073	160	4	2009	2009	NUM
ap-2073	160	5	)	)	PUNCT
ap-2073	160	6	.	.	PUNCT
ap-2073	161	1	doi	doi	NOUN
ap-2073	161	2	:	:	PUNCT
ap-2073	161	3	10.1103	10.1103	NUM
ap-2073	161	4	/	/	SYM
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ap-2073	162	8	k.	k.	PROPN
ap-2073	162	9	g.	g.	PROPN
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ap-2073	162	12	r.	r.	PROPN
ap-2073	162	13	el	el	PROPN
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ap-2073	162	16	,	,	PUNCT
ap-2073	162	17	d.	d.	PROPN
ap-2073	162	18	n.	n.	PROPN
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ap-2073	162	21	m.	m.	NOUN
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ap-2073	239	2	:	:	PUNCT
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ap-2073	242	6	.	.	PUNCT
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ap-2073	243	2	:	:	PUNCT
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ap-2073	243	4	/	/	SYM
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