id	sid	tid	token	lemma	pos
ejpam-3065	1	1	european	european	PROPN
ejpam-3065	1	2	journal	journal	PROPN
ejpam-3065	1	3	of	of	ADP
ejpam-3065	1	4	pure	pure	ADJ
ejpam-3065	1	5	and	and	CCONJ
ejpam-3065	1	6	applied	apply	VERB
ejpam-3065	1	7	mathematics	mathematic	NOUN
ejpam-3065	1	8	vol	vol	NOUN
ejpam-3065	1	9	.	.	PROPN
ejpam-3065	2	1	10	10	NUM
ejpam-3065	2	2	,	,	PUNCT
ejpam-3065	2	3	no	no	INTJ
ejpam-3065	2	4	.	.	NOUN
ejpam-3065	2	5	4	4	NUM
ejpam-3065	2	6	,	,	PUNCT
ejpam-3065	2	7	2017	2017	NUM
ejpam-3065	2	8	,	,	PUNCT
ejpam-3065	2	9	631	631	NUM
ejpam-3065	2	10	-	-	SYM
ejpam-3065	2	11	637	637	NUM
ejpam-3065	2	12	issn	issn	PROPN
ejpam-3065	2	13	1307	1307	NUM
ejpam-3065	2	14	-	-	SYM
ejpam-3065	2	15	5543	5543	NUM
ejpam-3065	2	16	–	–	PUNCT
ejpam-3065	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3065	2	18	published	publish	VERB
ejpam-3065	2	19	by	by	ADP
ejpam-3065	2	20	new	new	PROPN
ejpam-3065	2	21	york	york	PROPN
ejpam-3065	2	22	business	business	PROPN
ejpam-3065	2	23	global	global	ADJ
ejpam-3065	2	24	solving	solve	VERB
ejpam-3065	2	25	the	the	DET
ejpam-3065	2	26	ivancevic	ivancevic	ADJ
ejpam-3065	2	27	pricing	pricing	NOUN
ejpam-3065	2	28	model	model	NOUN
ejpam-3065	2	29	using	use	VERB
ejpam-3065	2	30	the	the	DET
ejpam-3065	2	31	he	he	PRON
ejpam-3065	2	32	’s	’s	PART
ejpam-3065	2	33	frequency	frequency	NOUN
ejpam-3065	2	34	amplitude	amplitude	NOUN
ejpam-3065	2	35	formulation	formulation	NOUN
ejpam-3065	2	36	o.	o.	PROPN
ejpam-3065	2	37	gonzález	gonzález	PROPN
ejpam-3065	2	38	-	-	PUNCT
ejpam-3065	2	39	gaxiola1,∗	gaxiola1,∗	PROPN
ejpam-3065	2	40	,	,	PUNCT
ejpam-3065	2	41	s.	s.	PROPN
ejpam-3065	2	42	o.	o.	PROPN
ejpam-3065	2	43	edeki2	edeki2	PROPN
ejpam-3065	2	44	,	,	PUNCT
ejpam-3065	3	1	o.	o.	NOUN
ejpam-3065	3	2	o.	o.	PROPN
ejpam-3065	3	3	ugbebor2,3	ugbebor2,3	PROPN
ejpam-3065	3	4	,	,	PUNCT
ejpam-3065	3	5	j.	j.	PROPN
ejpam-3065	3	6	ruiz	ruiz	PROPN
ejpam-3065	3	7	de	de	PROPN
ejpam-3065	3	8	chávez4	chávez4	PROPN
ejpam-3065	3	9	1	1	NUM
ejpam-3065	3	10	departamento	departamento	NOUN
ejpam-3065	3	11	de	de	PROPN
ejpam-3065	3	12	matemáticas	matemáticas	PROPN
ejpam-3065	3	13	aplicadas	aplicadas	PROPN
ejpam-3065	3	14	y	y	PROPN
ejpam-3065	3	15	sistemas	sistemas	PROPN
ejpam-3065	3	16	,	,	PUNCT
ejpam-3065	3	17	universidad	universidad	PROPN
ejpam-3065	3	18	autónoma	autónoma	PROPN
ejpam-3065	3	19	metropolitana	metropolitana	PROPN
ejpam-3065	3	20	-	-	PUNCT
ejpam-3065	3	21	c	c	PROPN
ejpam-3065	3	22	,	,	PUNCT
ejpam-3065	3	23	mexico	mexico	PROPN
ejpam-3065	3	24	2	2	NUM
ejpam-3065	3	25	department	department	NOUN
ejpam-3065	3	26	of	of	ADP
ejpam-3065	3	27	mathematics	mathematic	NOUN
ejpam-3065	3	28	,	,	PUNCT
ejpam-3065	3	29	covenant	covenant	ADJ
ejpam-3065	3	30	university	university	PROPN
ejpam-3065	3	31	,	,	PUNCT
ejpam-3065	3	32	nigeria	nigeria	PROPN
ejpam-3065	3	33	3	3	NUM
ejpam-3065	3	34	department	department	NOUN
ejpam-3065	3	35	of	of	ADP
ejpam-3065	3	36	mathematics	mathematics	PROPN
ejpam-3065	3	37	,	,	PUNCT
ejpam-3065	3	38	university	university	PROPN
ejpam-3065	3	39	of	of	ADP
ejpam-3065	3	40	ibadan	ibadan	PROPN
ejpam-3065	3	41	,	,	PUNCT
ejpam-3065	3	42	nigeria	nigeria	PROPN
ejpam-3065	3	43	4	4	NUM
ejpam-3065	3	44	departamento	departamento	NOUN
ejpam-3065	3	45	de	de	PROPN
ejpam-3065	3	46	matemáticas	matemáticas	PROPN
ejpam-3065	3	47	,	,	PUNCT
ejpam-3065	3	48	universidad	universidad	PROPN
ejpam-3065	3	49	autónoma	autónoma	PROPN
ejpam-3065	3	50	metropolitana	metropolitana	PROPN
ejpam-3065	3	51	-	-	PUNCT
ejpam-3065	3	52	i	i	PROPN
ejpam-3065	3	53	,	,	PUNCT
ejpam-3065	3	54	mexico	mexico	PROPN
ejpam-3065	3	55	abstract	abstract	NOUN
ejpam-3065	3	56	.	.	PUNCT
ejpam-3065	4	1	in	in	ADP
ejpam-3065	4	2	financial	financial	ADJ
ejpam-3065	4	3	mathematics	mathematic	NOUN
ejpam-3065	4	4	,	,	PUNCT
ejpam-3065	4	5	option	option	NOUN
ejpam-3065	4	6	pricing	pricing	NOUN
ejpam-3065	4	7	theory	theory	NOUN
ejpam-3065	4	8	remains	remain	VERB
ejpam-3065	4	9	a	a	DET
ejpam-3065	4	10	core	core	NOUN
ejpam-3065	4	11	area	area	NOUN
ejpam-3065	4	12	of	of	ADP
ejpam-3065	4	13	interest	interest	NOUN
ejpam-3065	4	14	that	that	PRON
ejpam-3065	4	15	requires	require	VERB
ejpam-3065	4	16	effective	effective	ADJ
ejpam-3065	4	17	models	model	NOUN
ejpam-3065	4	18	.	.	PUNCT
ejpam-3065	5	1	thus	thus	ADV
ejpam-3065	5	2	,	,	PUNCT
ejpam-3065	5	3	the	the	DET
ejpam-3065	5	4	ivancevic	ivancevic	ADJ
ejpam-3065	5	5	option	option	NOUN
ejpam-3065	5	6	pricing	pricing	NOUN
ejpam-3065	5	7	model	model	NOUN
ejpam-3065	5	8	(	(	PUNCT
ejpam-3065	5	9	iopm	iopm	PROPN
ejpam-3065	5	10	)	)	PUNCT
ejpam-3065	5	11	is	be	AUX
ejpam-3065	5	12	a	a	DET
ejpam-3065	5	13	nonlinear	nonlinear	ADJ
ejpam-3065	5	14	adaptivewave	adaptivewave	ADJ
ejpam-3065	5	15	alternative	alternative	NOUN
ejpam-3065	5	16	for	for	ADP
ejpam-3065	5	17	the	the	DET
ejpam-3065	5	18	classical	classical	ADJ
ejpam-3065	5	19	black	black	ADJ
ejpam-3065	5	20	-	-	PUNCT
ejpam-3065	5	21	scholes	schole	NOUN
ejpam-3065	5	22	option	option	NOUN
ejpam-3065	5	23	pricing	pricing	NOUN
ejpam-3065	5	24	model	model	NOUN
ejpam-3065	5	25	;	;	PUNCT
ejpam-3065	5	26	it	it	PRON
ejpam-3065	5	27	represents	represent	VERB
ejpam-3065	5	28	a	a	DET
ejpam-3065	5	29	controlled	control	VERB
ejpam-3065	5	30	brownian	brownian	ADJ
ejpam-3065	5	31	motion	motion	NOUN
ejpam-3065	5	32	(	(	PUNCT
ejpam-3065	5	33	bm	bm	PROPN
ejpam-3065	5	34	)	)	PUNCT
ejpam-3065	5	35	in	in	ADP
ejpam-3065	5	36	an	an	DET
ejpam-3065	5	37	adaptive	adaptive	ADJ
ejpam-3065	5	38	setting	setting	NOUN
ejpam-3065	5	39	with	with	ADP
ejpam-3065	5	40	relation	relation	NOUN
ejpam-3065	5	41	to	to	ADP
ejpam-3065	5	42	nonlinear	nonlinear	NOUN
ejpam-3065	5	43	schrödinger	schrödinger	NOUN
ejpam-3065	5	44	equation	equation	NOUN
ejpam-3065	5	45	.	.	PUNCT
ejpam-3065	6	1	the	the	DET
ejpam-3065	6	2	importance	importance	NOUN
ejpam-3065	6	3	of	of	ADP
ejpam-3065	6	4	the	the	DET
ejpam-3065	6	5	iopm	iopm	NOUN
ejpam-3065	6	6	can	can	AUX
ejpam-3065	6	7	not	not	PART
ejpam-3065	6	8	be	be	AUX
ejpam-3065	6	9	overemphasized	overemphasize	VERB
ejpam-3065	6	10	;	;	PUNCT
ejpam-3065	6	11	though	though	ADV
ejpam-3065	6	12	,	,	PUNCT
ejpam-3065	6	13	it	it	PRON
ejpam-3065	6	14	seems	seem	VERB
ejpam-3065	6	15	difficult	difficult	ADJ
ejpam-3065	6	16	and	and	CCONJ
ejpam-3065	6	17	complex	complex	ADJ
ejpam-3065	6	18	to	to	PART
ejpam-3065	6	19	obtain	obtain	VERB
ejpam-3065	6	20	the	the	DET
ejpam-3065	6	21	associated	associated	ADJ
ejpam-3065	6	22	exact	exact	ADJ
ejpam-3065	6	23	solutions	solution	NOUN
ejpam-3065	6	24	if	if	SCONJ
ejpam-3065	6	25	they	they	PRON
ejpam-3065	6	26	exist	exist	VERB
ejpam-3065	6	27	.	.	PUNCT
ejpam-3065	7	1	therefore	therefore	ADV
ejpam-3065	7	2	,	,	PUNCT
ejpam-3065	7	3	this	this	DET
ejpam-3065	7	4	paper	paper	NOUN
ejpam-3065	7	5	provides	provide	VERB
ejpam-3065	7	6	exact	exact	ADJ
ejpam-3065	7	7	solutions	solution	NOUN
ejpam-3065	7	8	of	of	ADP
ejpam-3065	7	9	the	the	DET
ejpam-3065	7	10	iopm	iopm	NOUN
ejpam-3065	7	11	by	by	ADP
ejpam-3065	7	12	means	mean	NOUN
ejpam-3065	7	13	of	of	ADP
ejpam-3065	7	14	a	a	DET
ejpam-3065	7	15	proposed	propose	VERB
ejpam-3065	7	16	analytical	analytical	ADJ
ejpam-3065	7	17	method	method	NOUN
ejpam-3065	7	18	referred	refer	VERB
ejpam-3065	7	19	to	to	ADP
ejpam-3065	7	20	as	as	SCONJ
ejpam-3065	7	21	he	he	PRON
ejpam-3065	7	22	’s	’	VERB
ejpam-3065	7	23	frequency	frequency	NOUN
ejpam-3065	7	24	amplitude	amplitude	NOUN
ejpam-3065	7	25	formulation	formulation	NOUN
ejpam-3065	7	26	.	.	PUNCT
ejpam-3065	8	1	cases	case	NOUN
ejpam-3065	8	2	of	of	ADP
ejpam-3065	8	3	nonzero	nonzero	NOUN
ejpam-3065	8	4	adaptive	adaptive	ADJ
ejpam-3065	8	5	market	market	NOUN
ejpam-3065	8	6	potential	potential	NOUN
ejpam-3065	8	7	are	be	AUX
ejpam-3065	8	8	considered	consider	VERB
ejpam-3065	8	9	.	.	PUNCT
ejpam-3065	9	1	the	the	DET
ejpam-3065	9	2	method	method	NOUN
ejpam-3065	9	3	is	be	AUX
ejpam-3065	9	4	shown	show	VERB
ejpam-3065	9	5	to	to	PART
ejpam-3065	9	6	effective	effective	ADJ
ejpam-3065	9	7	,	,	PUNCT
ejpam-3065	9	8	efficient	efficient	ADJ
ejpam-3065	9	9	,	,	PUNCT
ejpam-3065	9	10	simple	simple	ADJ
ejpam-3065	9	11	and	and	CCONJ
ejpam-3065	9	12	direct	direct	ADJ
ejpam-3065	9	13	in	in	ADP
ejpam-3065	9	14	application	application	NOUN
ejpam-3065	9	15	,	,	PUNCT
ejpam-3065	9	16	even	even	ADV
ejpam-3065	9	17	without	without	ADP
ejpam-3065	9	18	loss	loss	NOUN
ejpam-3065	9	19	of	of	ADP
ejpam-3065	9	20	generality	generality	NOUN
ejpam-3065	9	21	.	.	PUNCT
ejpam-3065	10	1	2010	2010	NUM
ejpam-3065	10	2	mathematics	mathematic	NOUN
ejpam-3065	10	3	subject	subject	NOUN
ejpam-3065	10	4	classifications	classification	NOUN
ejpam-3065	10	5	:	:	PUNCT
ejpam-3065	10	6	91g80	91g80	NUM
ejpam-3065	10	7	,	,	PUNCT
ejpam-3065	10	8	35l05	35l05	NUM
ejpam-3065	10	9	,	,	PUNCT
ejpam-3065	10	10	97m30	97m30	NUM
ejpam-3065	10	11	key	key	ADJ
ejpam-3065	10	12	words	word	NOUN
ejpam-3065	10	13	and	and	CCONJ
ejpam-3065	10	14	phrases	phrase	NOUN
ejpam-3065	10	15	:	:	PUNCT
ejpam-3065	10	16	ivancevic	ivancevic	ADJ
ejpam-3065	10	17	pricing	pricing	NOUN
ejpam-3065	10	18	model	model	NOUN
ejpam-3065	10	19	,	,	PUNCT
ejpam-3065	10	20	nonlinear	nonlinear	ADJ
ejpam-3065	10	21	black	black	ADJ
ejpam-3065	10	22	-	-	PUNCT
ejpam-3065	10	23	scholes	schole	NOUN
ejpam-3065	10	24	model	model	NOUN
ejpam-3065	10	25	,	,	PUNCT
ejpam-3065	10	26	option	option	NOUN
ejpam-3065	10	27	pricing	pricing	NOUN
ejpam-3065	10	28	,	,	PUNCT
ejpam-3065	10	29	amplitude	amplitude	NOUN
ejpam-3065	10	30	-	-	PUNCT
ejpam-3065	10	31	frequency	frequency	NOUN
ejpam-3065	10	32	formulation	formulation	NOUN
ejpam-3065	10	33	1	1	NUM
ejpam-3065	10	34	.	.	PUNCT
ejpam-3065	11	1	introduction	introduction	NOUN
ejpam-3065	11	2	the	the	DET
ejpam-3065	11	3	classical	classical	ADJ
ejpam-3065	11	4	black	black	ADJ
ejpam-3065	11	5	-	-	PUNCT
ejpam-3065	11	6	scholes	schole	NOUN
ejpam-3065	11	7	model	model	NOUN
ejpam-3065	11	8	(	(	PUNCT
ejpam-3065	11	9	bsm	bsm	PROPN
ejpam-3065	11	10	)	)	PUNCT
ejpam-3065	11	11	serves	serve	VERB
ejpam-3065	11	12	as	as	ADP
ejpam-3065	11	13	a	a	DET
ejpam-3065	11	14	remarkable	remarkable	ADJ
ejpam-3065	11	15	financial	financial	ADJ
ejpam-3065	11	16	model	model	NOUN
ejpam-3065	11	17	for	for	ADP
ejpam-3065	11	18	option	option	NOUN
ejpam-3065	11	19	pricing	pricing	NOUN
ejpam-3065	11	20	and	and	CCONJ
ejpam-3065	11	21	valuation	valuation	NOUN
ejpam-3065	11	22	.	.	PUNCT
ejpam-3065	12	1	the	the	DET
ejpam-3065	12	2	bsm	bsm	PROPN
ejpam-3065	12	3	describes	describe	VERB
ejpam-3065	12	4	the	the	DET
ejpam-3065	12	5	time	time	NOUN
ejpam-3065	12	6	-	-	PUNCT
ejpam-3065	12	7	evolution	evolution	NOUN
ejpam-3065	12	8	of	of	ADP
ejpam-3065	12	9	the	the	DET
ejpam-3065	12	10	market	market	NOUN
ejpam-3065	12	11	value	value	NOUN
ejpam-3065	12	12	of	of	ADP
ejpam-3065	12	13	financial	financial	ADJ
ejpam-3065	12	14	equity	equity	NOUN
ejpam-3065	12	15	such	such	ADJ
ejpam-3065	12	16	as	as	ADP
ejpam-3065	12	17	european	european	ADJ
ejpam-3065	12	18	or	or	CCONJ
ejpam-3065	12	19	stock	stock	NOUN
ejpam-3065	12	20	option	option	NOUN
ejpam-3065	12	21	[	[	X
ejpam-3065	12	22	4	4	NUM
ejpam-3065	12	23	,	,	PUNCT
ejpam-3065	12	24	17	17	NUM
ejpam-3065	12	25	,	,	PUNCT
ejpam-3065	12	26	19	19	NUM
ejpam-3065	12	27	]	]	PUNCT
ejpam-3065	12	28	.	.	PUNCT
ejpam-3065	13	1	the	the	DET
ejpam-3065	13	2	main	main	ADJ
ejpam-3065	13	3	assumptions	assumption	NOUN
ejpam-3065	13	4	associated	associate	VERB
ejpam-3065	13	5	with	with	ADP
ejpam-3065	13	6	this	this	DET
ejpam-3065	13	7	classical	classical	ADJ
ejpam-3065	13	8	arbitrage	arbitrage	NOUN
ejpam-3065	13	9	pricing	pricing	NOUN
ejpam-3065	13	10	theory	theory	NOUN
ejpam-3065	13	11	(	(	PUNCT
ejpam-3065	13	12	bsm	bsm	PROPN
ejpam-3065	13	13	)	)	PUNCT
ejpam-3065	13	14	include	include	VERB
ejpam-3065	13	15	the	the	DET
ejpam-3065	13	16	following	following	NOUN
ejpam-3065	13	17	:	:	PUNCT
ejpam-3065	13	18	the	the	DET
ejpam-3065	13	19	asset	asset	NOUN
ejpam-3065	13	20	price	price	NOUN
ejpam-3065	13	21	s	s	PART
ejpam-3065	13	22	(	(	PUNCT
ejpam-3065	13	23	or	or	CCONJ
ejpam-3065	13	24	the	the	DET
ejpam-3065	13	25	underlying	underlie	VERB
ejpam-3065	13	26	asset	asset	NOUN
ejpam-3065	13	27	)	)	PUNCT
ejpam-3065	13	28	following	follow	VERB
ejpam-3065	13	29	a	a	DET
ejpam-3065	13	30	geometric	geometric	ADJ
ejpam-3065	13	31	brownian	brownian	ADJ
ejpam-3065	13	32	motion	motion	NOUN
ejpam-3065	13	33	(	(	PUNCT
ejpam-3065	13	34	gbm	gbm	PROPN
ejpam-3065	13	35	)	)	PUNCT
ejpam-3065	13	36	,	,	PUNCT
ejpam-3065	13	37	the	the	DET
ejpam-3065	13	38	drift	drift	NOUN
ejpam-3065	13	39	parameter	parameter	NOUN
ejpam-3065	13	40	,	,	PUNCT
ejpam-3065	13	41	µ	µ	NOUN
ejpam-3065	13	42	and	and	CCONJ
ejpam-3065	13	43	the	the	DET
ejpam-3065	13	44	volatility	volatility	NOUN
ejpam-3065	13	45	rate	rate	NOUN
ejpam-3065	13	46	,	,	PUNCT
ejpam-3065	13	47	σ	σ	PROPN
ejpam-3065	13	48	are	be	AUX
ejpam-3065	13	49	assumed	assume	VERB
ejpam-3065	13	50	constants	constant	NOUN
ejpam-3065	13	51	,	,	PUNCT
ejpam-3065	13	52	lack	lack	NOUN
ejpam-3065	13	53	of	of	ADP
ejpam-3065	13	54	arbitrage	arbitrage	NOUN
ejpam-3065	13	55	opportunities	opportunity	NOUN
ejpam-3065	13	56	(	(	PUNCT
ejpam-3065	13	57	no	no	DET
ejpam-3065	13	58	risk	risk	NOUN
ejpam-3065	13	59	-	-	PUNCT
ejpam-3065	13	60	free	free	ADJ
ejpam-3065	13	61	profit	profit	NOUN
ejpam-3065	13	62	)	)	PUNCT
ejpam-3065	13	63	,	,	PUNCT
ejpam-3065	13	64	frictionless	frictionless	NOUN
ejpam-3065	13	65	and	and	CCONJ
ejpam-3065	13	66	competitive	competitive	ADJ
ejpam-3065	13	67	markets	market	NOUN
ejpam-3065	13	68	[	[	X
ejpam-3065	13	69	12	12	NUM
ejpam-3065	13	70	,	,	PUNCT
ejpam-3065	13	71	8	8	NUM
ejpam-3065	13	72	,	,	PUNCT
ejpam-3065	13	73	2	2	NUM
ejpam-3065	13	74	]	]	PUNCT
ejpam-3065	13	75	.	.	PUNCT
ejpam-3065	14	1	thus	thus	ADV
ejpam-3065	14	2	,	,	PUNCT
ejpam-3065	14	3	∗corresponding	∗corresponde	VERB
ejpam-3065	14	4	author	author	NOUN
ejpam-3065	14	5	.	.	PUNCT
ejpam-3065	15	1	email	email	NOUN
ejpam-3065	15	2	addresses	address	NOUN
ejpam-3065	15	3	:	:	PUNCT
ejpam-3065	15	4	ogonzalez@correo.cua.uam.mx	ogonzalez@correo.cua.uam.mx	X
ejpam-3065	15	5	(	(	PUNCT
ejpam-3065	15	6	o.	o.	PROPN
ejpam-3065	15	7	gonzález	gonzález	PROPN
ejpam-3065	15	8	-	-	PUNCT
ejpam-3065	15	9	gaxiola	gaxiola	PROPN
ejpam-3065	15	10	)	)	PUNCT
ejpam-3065	16	1	soedeki@yahoo.com	soedeki@yahoo.com	X
ejpam-3065	16	2	(	(	PUNCT
ejpam-3065	16	3	s.	s.	PROPN
ejpam-3065	16	4	o.	o.	PROPN
ejpam-3065	16	5	edeki	edeki	PROPN
ejpam-3065	16	6	)	)	PUNCT
ejpam-3065	16	7	,	,	PUNCT
ejpam-3065	16	8	ugbebor1@yahoo.com	ugbebor1@yahoo.com	X
ejpam-3065	16	9	(	(	PUNCT
ejpam-3065	16	10	o.	o.	PROPN
ejpam-3065	16	11	o.	o.	PROPN
ejpam-3065	16	12	ugbebor	ugbebor	PROPN
ejpam-3065	16	13	)	)	PUNCT
ejpam-3065	16	14	,	,	PUNCT
ejpam-3065	16	15	jrch@xanum.uam.mx	jrch@xanum.uam.mx	PROPN
ejpam-3065	16	16	(	(	PUNCT
ejpam-3065	16	17	j.	j.	PROPN
ejpam-3065	16	18	ruiz	ruiz	PROPN
ejpam-3065	16	19	de	de	PROPN
ejpam-3065	16	20	chávez	chávez	PROPN
ejpam-3065	16	21	)	)	PUNCT
ejpam-3065	16	22	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3065	17	1	631	631	NUM
ejpam-3065	18	1	c	c	X
ejpam-3065	18	2	©	©	PROPN
ejpam-3065	18	3	2017	2017	NUM
ejpam-3065	18	4	ejpam	ejpam	NOUN
ejpam-3065	18	5	all	all	DET
ejpam-3065	18	6	rights	right	NOUN
ejpam-3065	18	7	reserved	reserve	VERB
ejpam-3065	18	8	.	.	PUNCT
ejpam-3065	19	1	o.	o.	PROPN
ejpam-3065	19	2	gonzález	gonzález	PROPN
ejpam-3065	19	3	-	-	PUNCT
ejpam-3065	19	4	gaxiola	gaxiola	PROPN
ejpam-3065	19	5	,	,	PUNCT
ejpam-3065	19	6	s.	s.	PROPN
ejpam-3065	19	7	o.	o.	PROPN
ejpam-3065	19	8	edeki	edeki	PROPN
ejpam-3065	20	1	et	et	PROPN
ejpam-3065	20	2	al	al	PROPN
ejpam-3065	20	3	/	/	PUNCT
ejpam-3065	20	4	eur	eur	PROPN
ejpam-3065	20	5	.	.	PUNCT
ejpam-3065	21	1	j.	j.	PROPN
ejpam-3065	21	2	pure	pure	PROPN
ejpam-3065	21	3	appl	appl	PROPN
ejpam-3065	21	4	.	.	PROPN
ejpam-3065	21	5	math	math	PROPN
ejpam-3065	21	6	,	,	PUNCT
ejpam-3065	21	7	10	10	NUM
ejpam-3065	21	8	(	(	PUNCT
ejpam-3065	21	9	4	4	NUM
ejpam-3065	21	10	)	)	PUNCT
ejpam-3065	21	11	(	(	PUNCT
ejpam-3065	21	12	2017	2017	NUM
ejpam-3065	21	13	)	)	PUNCT
ejpam-3065	21	14	,	,	PUNCT
ejpam-3065	21	15	631	631	NUM
ejpam-3065	21	16	-	-	SYM
ejpam-3065	21	17	637	637	NUM
ejpam-3065	21	18	632	632	NUM
ejpam-3065	21	19	the	the	DET
ejpam-3065	21	20	stock	stock	NOUN
ejpam-3065	21	21	price	price	NOUN
ejpam-3065	21	22	s	s	PART
ejpam-3065	21	23	=	=	SYM
ejpam-3065	21	24	s(t	s(t	PROPN
ejpam-3065	21	25	)	)	PUNCT
ejpam-3065	21	26	,	,	PUNCT
ejpam-3065	21	27	at	at	ADP
ejpam-3065	21	28	time	time	NOUN
ejpam-3065	21	29	t	t	PROPN
ejpam-3065	21	30	,	,	PUNCT
ejpam-3065	21	31	(	(	PUNCT
ejpam-3065	21	32	0	0	NUM
ejpam-3065	21	33	≤	≤	PROPN
ejpam-3065	21	34	t	t	PROPN
ejpam-3065	21	35	≤	≤	PROPN
ejpam-3065	21	36	t	t	PROPN
ejpam-3065	21	37	)	)	PUNCT
ejpam-3065	21	38	follows	follow	VERB
ejpam-3065	21	39	the	the	DET
ejpam-3065	21	40	stochastic	stochastic	ADJ
ejpam-3065	21	41	differential	differential	ADJ
ejpam-3065	21	42	equation	equation	NOUN
ejpam-3065	21	43	(	(	PUNCT
ejpam-3065	21	44	sde	sde	PROPN
ejpam-3065	21	45	):	):	PUNCT
ejpam-3065	21	46	ds	ds	ADJ
ejpam-3065	21	47	=	=	PUNCT
ejpam-3065	21	48	s(µdt+	s(µdt+	NUM
ejpam-3065	21	49	σdwt	σdwt	NOUN
ejpam-3065	21	50	)	)	PUNCT
ejpam-3065	21	51	,	,	PUNCT
ejpam-3065	21	52	s	s	VERB
ejpam-3065	21	53	∈	∈	PROPN
ejpam-3065	22	1	[	[	X
ejpam-3065	22	2	0,∞	0,∞	NUM
ejpam-3065	22	3	)	)	PUNCT
ejpam-3065	22	4	(	(	PUNCT
ejpam-3065	22	5	1	1	X
ejpam-3065	22	6	)	)	PUNCT
ejpam-3065	22	7	where	where	SCONJ
ejpam-3065	22	8	µ	µ	X
ejpam-3065	22	9	,	,	PUNCT
ejpam-3065	22	10	σ	σ	PROPN
ejpam-3065	22	11	>	>	X
ejpam-3065	22	12	0	0	NUM
ejpam-3065	22	13	,	,	PUNCT
ejpam-3065	22	14	and	and	CCONJ
ejpam-3065	22	15	wt	wt	PROPN
ejpam-3065	22	16	are	be	AUX
ejpam-3065	22	17	mean	mean	VERB
ejpam-3065	22	18	rate	rate	NOUN
ejpam-3065	22	19	of	of	ADP
ejpam-3065	22	20	return	return	NOUN
ejpam-3065	22	21	of	of	ADP
ejpam-3065	22	22	s	s	PROPN
ejpam-3065	22	23	,	,	PUNCT
ejpam-3065	22	24	the	the	DET
ejpam-3065	22	25	volatility	volatility	NOUN
ejpam-3065	22	26	,	,	PUNCT
ejpam-3065	22	27	and	and	CCONJ
ejpam-3065	22	28	a	a	DET
ejpam-3065	22	29	standard	standard	ADJ
ejpam-3065	22	30	brownian	brownian	ADJ
ejpam-3065	22	31	motion	motion	NOUN
ejpam-3065	22	32	respectively	respectively	ADV
ejpam-3065	22	33	.	.	PUNCT
ejpam-3065	23	1	so	so	ADV
ejpam-3065	23	2	,	,	PUNCT
ejpam-3065	23	3	for	for	ADP
ejpam-3065	23	4	an	an	DET
ejpam-3065	23	5	option	option	NOUN
ejpam-3065	23	6	value	value	NOUN
ejpam-3065	23	7	u	u	NOUN
ejpam-3065	23	8	=	=	PROPN
ejpam-3065	23	9	u(s	u(s	PROPN
ejpam-3065	23	10	,	,	PUNCT
ejpam-3065	23	11	t	t	PROPN
ejpam-3065	23	12	)	)	PUNCT
ejpam-3065	23	13	,	,	PUNCT
ejpam-3065	23	14	the	the	DET
ejpam-3065	23	15	black	black	ADJ
ejpam-3065	23	16	-	-	PUNCT
ejpam-3065	23	17	scholes	schole	NOUN
ejpam-3065	23	18	partial	partial	ADJ
ejpam-3065	23	19	differential	differential	NOUN
ejpam-3065	23	20	equation	equation	NOUN
ejpam-3065	23	21	(	(	PUNCT
ejpam-3065	23	22	pde	pde	NOUN
ejpam-3065	23	23	)	)	PUNCT
ejpam-3065	23	24	associated	associate	VERB
ejpam-3065	23	25	to	to	ADP
ejpam-3065	23	26	(	(	PUNCT
ejpam-3065	23	27	1	1	X
ejpam-3065	23	28	)	)	PUNCT
ejpam-3065	23	29	can	can	AUX
ejpam-3065	23	30	be	be	AUX
ejpam-3065	23	31	expressed	express	VERB
ejpam-3065	23	32	as	as	ADP
ejpam-3065	23	33	:	:	PUNCT
ejpam-3065	23	34	∂u	∂u	PROPN
ejpam-3065	23	35	∂t	∂t	PROPN
ejpam-3065	24	1	+	+	CCONJ
ejpam-3065	24	2	rs	rs	PROPN
ejpam-3065	24	3	∂u	∂u	PROPN
ejpam-3065	24	4	∂s	∂s	PROPN
ejpam-3065	25	1	+	+	CCONJ
ejpam-3065	25	2	1	1	NUM
ejpam-3065	25	3	2	2	NUM
ejpam-3065	25	4	s2σ2	s2σ2	X
ejpam-3065	25	5	∂2u	∂2u	PROPN
ejpam-3065	25	6	∂s2	∂s2	PROPN
ejpam-3065	25	7	−	−	PROPN
ejpam-3065	25	8	ru	ru	PROPN
ejpam-3065	25	9	=	=	SYM
ejpam-3065	25	10	0	0	PUNCT
ejpam-3065	25	11	(	(	PUNCT
ejpam-3065	25	12	2	2	NUM
ejpam-3065	25	13	)	)	PUNCT
ejpam-3065	25	14	with	with	ADP
ejpam-3065	25	15	u(0	u(0	PROPN
ejpam-3065	25	16	,	,	PUNCT
ejpam-3065	25	17	t	t	PROPN
ejpam-3065	25	18	)	)	PUNCT
ejpam-3065	25	19	=	=	SYM
ejpam-3065	25	20	0	0	NUM
ejpam-3065	25	21	,	,	PUNCT
ejpam-3065	25	22	u(s	u(s	ADJ
ejpam-3065	25	23	,	,	PUNCT
ejpam-3065	25	24	t)→	t)→	PROPN
ejpam-3065	25	25	0	0	PUNCT
ejpam-3065	25	26	as	as	ADP
ejpam-3065	25	27	s	s	PROPN
ejpam-3065	25	28	→∞	→∞	NOUN
ejpam-3065	25	29	,	,	PUNCT
ejpam-3065	25	30	u(s	u(s	PROPN
ejpam-3065	25	31	,	,	PUNCT
ejpam-3065	25	32	t	t	NOUN
ejpam-3065	25	33	)	)	PUNCT
ejpam-3065	26	1	=	=	PUNCT
ejpam-3065	27	1	max(s	max(s	PROPN
ejpam-3065	27	2	−	−	NUM
ejpam-3065	27	3	e	e	NOUN
ejpam-3065	27	4	,	,	PUNCT
ejpam-3065	27	5	0	0	NUM
ejpam-3065	27	6	)	)	PUNCT
ejpam-3065	27	7	,	,	PUNCT
ejpam-3065	27	8	e	e	X
ejpam-3065	27	9	is	be	AUX
ejpam-3065	27	10	a	a	DET
ejpam-3065	27	11	constant	constant	ADJ
ejpam-3065	27	12	and	and	CCONJ
ejpam-3065	27	13	s(t	s(t	NUM
ejpam-3065	27	14	)	)	PUNCT
ejpam-3065	28	1	=	=	PUNCT
ejpam-3065	28	2	s0e	s0e	PROPN
ejpam-3065	28	3	(	(	PUNCT
ejpam-3065	28	4	µ−σ	µ−σ	ADP
ejpam-3065	28	5	2	2	NUM
ejpam-3065	28	6	2	2	NUM
ejpam-3065	28	7	)	)	PUNCT
ejpam-3065	28	8	t+σwt	t+σwt	X
ejpam-3065	28	9	,	,	PUNCT
ejpam-3065	28	10	s0	s0	PROPN
ejpam-3065	28	11	=	=	SYM
ejpam-3065	28	12	s(0	s(0	PROPN
ejpam-3065	28	13	)	)	PUNCT
ejpam-3065	28	14	.	.	PUNCT
ejpam-3065	29	1	(	(	PUNCT
ejpam-3065	29	2	3	3	X
ejpam-3065	29	3	)	)	PUNCT
ejpam-3065	29	4	in	in	ADP
ejpam-3065	29	5	literature	literature	NOUN
ejpam-3065	29	6	,	,	PUNCT
ejpam-3065	29	7	detailed	detailed	ADJ
ejpam-3065	29	8	and	and	CCONJ
ejpam-3065	29	9	extensive	extensive	ADJ
ejpam-3065	29	10	work	work	NOUN
ejpam-3065	29	11	on	on	ADP
ejpam-3065	29	12	the	the	DET
ejpam-3065	29	13	importance	importance	NOUN
ejpam-3065	29	14	of	of	ADP
ejpam-3065	29	15	(	(	PUNCT
ejpam-3065	29	16	2	2	NUM
ejpam-3065	29	17	)	)	PUNCT
ejpam-3065	29	18	with	with	ADP
ejpam-3065	29	19	respect	respect	NOUN
ejpam-3065	29	20	to	to	ADP
ejpam-3065	29	21	exact	exact	ADJ
ejpam-3065	29	22	,	,	PUNCT
ejpam-3065	29	23	analytical	analytical	ADJ
ejpam-3065	29	24	,	,	PUNCT
ejpam-3065	29	25	approximate	approximate	ADJ
ejpam-3065	29	26	or	or	CCONJ
ejpam-3065	29	27	numerical	numerical	ADJ
ejpam-3065	29	28	methods	method	NOUN
ejpam-3065	29	29	of	of	ADP
ejpam-3065	29	30	solutions	solution	NOUN
ejpam-3065	29	31	have	have	AUX
ejpam-3065	29	32	been	be	AUX
ejpam-3065	29	33	referred	refer	VERB
ejpam-3065	29	34	[	[	X
ejpam-3065	29	35	21	21	NUM
ejpam-3065	29	36	,	,	PUNCT
ejpam-3065	29	37	9	9	NUM
ejpam-3065	29	38	,	,	PUNCT
ejpam-3065	29	39	5	5	NUM
ejpam-3065	29	40	,	,	PUNCT
ejpam-3065	29	41	10	10	NUM
ejpam-3065	29	42	]	]	PUNCT
ejpam-3065	29	43	.	.	PUNCT
ejpam-3065	30	1	vukovic	vukovic	ADJ
ejpam-3065	30	2	[	[	X
ejpam-3065	30	3	24	24	NUM
ejpam-3065	30	4	]	]	PUNCT
ejpam-3065	30	5	in	in	ADP
ejpam-3065	30	6	a	a	DET
ejpam-3065	30	7	recent	recent	ADJ
ejpam-3065	30	8	study	study	NOUN
ejpam-3065	30	9	,	,	PUNCT
ejpam-3065	30	10	established	establish	VERB
ejpam-3065	30	11	the	the	DET
ejpam-3065	30	12	interconnectedness	interconnectedness	NOUN
ejpam-3065	30	13	of	of	ADP
ejpam-3065	30	14	the	the	DET
ejpam-3065	30	15	schrödinger	schrödinger	NOUN
ejpam-3065	30	16	and	and	CCONJ
ejpam-3065	30	17	the	the	DET
ejpam-3065	30	18	black	black	ADJ
ejpam-3065	30	19	-	-	PUNCT
ejpam-3065	30	20	scholes	schole	NOUN
ejpam-3065	30	21	equations	equation	NOUN
ejpam-3065	30	22	via	via	ADP
ejpam-3065	30	23	the	the	DET
ejpam-3065	30	24	tools	tool	NOUN
ejpam-3065	30	25	of	of	ADP
ejpam-3065	30	26	quantum	quantum	ADJ
ejpam-3065	30	27	physics	physics	NOUN
ejpam-3065	30	28	in	in	ADP
ejpam-3065	30	29	the	the	DET
ejpam-3065	30	30	sense	sense	NOUN
ejpam-3065	30	31	of	of	ADP
ejpam-3065	30	32	hamiltonian	hamiltonian	ADJ
ejpam-3065	30	33	operator	operator	NOUN
ejpam-3065	30	34	.	.	PUNCT
ejpam-3065	31	1	it	it	PRON
ejpam-3065	31	2	was	be	AUX
ejpam-3065	31	3	noted	note	VERB
ejpam-3065	31	4	that	that	SCONJ
ejpam-3065	31	5	while	while	SCONJ
ejpam-3065	31	6	the	the	DET
ejpam-3065	31	7	black	black	ADJ
ejpam-3065	31	8	-	-	PUNCT
ejpam-3065	31	9	scholes	schole	NOUN
ejpam-3065	31	10	hamiltonian	hamiltonian	NOUN
ejpam-3065	31	11	was	be	AUX
ejpam-3065	31	12	anti	anti	ADJ
ejpam-3065	31	13	-	-	ADJ
ejpam-3065	31	14	hermitian	hermitian	ADJ
ejpam-3065	31	15	causing	cause	VERB
ejpam-3065	31	16	the	the	DET
ejpam-3065	31	17	eigenvalues	eigenvalue	NOUN
ejpam-3065	31	18	to	to	PART
ejpam-3065	31	19	be	be	AUX
ejpam-3065	31	20	complex	complex	ADJ
ejpam-3065	31	21	,	,	PUNCT
ejpam-3065	31	22	the	the	DET
ejpam-3065	31	23	schrödinger	schrödinger	NOUN
ejpam-3065	31	24	hamiltonian	hamiltonian	PROPN
ejpam-3065	31	25	was	be	AUX
ejpam-3065	31	26	hermitian	hermitian	ADJ
ejpam-3065	31	27	.	.	PUNCT
ejpam-3065	32	1	it	it	PRON
ejpam-3065	32	2	was	be	AUX
ejpam-3065	32	3	further	far	ADV
ejpam-3065	32	4	showed	show	VERB
ejpam-3065	32	5	that	that	SCONJ
ejpam-3065	32	6	the	the	DET
ejpam-3065	32	7	black	black	ADJ
ejpam-3065	32	8	-	-	PUNCT
ejpam-3065	32	9	scholes	schole	NOUN
ejpam-3065	32	10	equation	equation	NOUN
ejpam-3065	32	11	can	can	AUX
ejpam-3065	32	12	be	be	AUX
ejpam-3065	32	13	derived	derive	VERB
ejpam-3065	32	14	from	from	ADP
ejpam-3065	32	15	the	the	DET
ejpam-3065	32	16	schrödinger	schrödinger	NOUN
ejpam-3065	32	17	equation	equation	NOUN
ejpam-3065	32	18	via	via	ADP
ejpam-3065	32	19	the	the	DET
ejpam-3065	32	20	application	application	NOUN
ejpam-3065	32	21	of	of	ADP
ejpam-3065	32	22	quantum	quantum	ADJ
ejpam-3065	32	23	mechanics	mechanic	NOUN
ejpam-3065	32	24	tools	tool	NOUN
ejpam-3065	32	25	[	[	X
ejpam-3065	32	26	1	1	NUM
ejpam-3065	32	27	,	,	PUNCT
ejpam-3065	32	28	7	7	NUM
ejpam-3065	32	29	]	]	PUNCT
ejpam-3065	32	30	.	.	PUNCT
ejpam-3065	33	1	in	in	ADP
ejpam-3065	33	2	[	[	X
ejpam-3065	33	3	3	3	NUM
ejpam-3065	33	4	]	]	PUNCT
ejpam-3065	33	5	,	,	PUNCT
ejpam-3065	33	6	[	[	X
ejpam-3065	33	7	25	25	NUM
ejpam-3065	33	8	]	]	PUNCT
ejpam-3065	33	9	and	and	CCONJ
ejpam-3065	33	10	[	[	X
ejpam-3065	33	11	27	27	NUM
ejpam-3065	33	12	]	]	PUNCT
ejpam-3065	33	13	the	the	DET
ejpam-3065	33	14	solution	solution	NOUN
ejpam-3065	33	15	of	of	ADP
ejpam-3065	33	16	linear	linear	PROPN
ejpam-3065	33	17	and	and	CCONJ
ejpam-3065	33	18	nonlinear	nonlinear	ADJ
ejpam-3065	33	19	schrödinger	schrödinger	NOUN
ejpam-3065	33	20	equations	equation	NOUN
ejpam-3065	33	21	was	be	AUX
ejpam-3065	33	22	obtained	obtain	VERB
ejpam-3065	33	23	by	by	ADP
ejpam-3065	33	24	homotopy	homotopy	NOUN
ejpam-3065	33	25	perturbation	perturbation	NOUN
ejpam-3065	33	26	method	method	NOUN
ejpam-3065	33	27	,	,	PUNCT
ejpam-3065	33	28	variational	variational	ADJ
ejpam-3065	33	29	iteration	iteration	NOUN
ejpam-3065	33	30	method	method	NOUN
ejpam-3065	33	31	and	and	CCONJ
ejpam-3065	33	32	he	he	PRON
ejpam-3065	33	33	’s	’	VERB
ejpam-3065	33	34	frequency	frequency	NOUN
ejpam-3065	33	35	formulation	formulation	NOUN
ejpam-3065	33	36	respectively	respectively	ADV
ejpam-3065	33	37	.	.	PUNCT
ejpam-3065	34	1	recently	recently	ADV
ejpam-3065	34	2	,	,	PUNCT
ejpam-3065	34	3	in	in	ADP
ejpam-3065	34	4	[	[	PUNCT
ejpam-3065	34	5	22	22	NUM
ejpam-3065	34	6	]	]	PUNCT
ejpam-3065	34	7	an	an	DET
ejpam-3065	34	8	analytical	analytical	ADJ
ejpam-3065	34	9	option	option	NOUN
ejpam-3065	34	10	pricing	pricing	NOUN
ejpam-3065	34	11	model	model	NOUN
ejpam-3065	34	12	based	base	VERB
ejpam-3065	34	13	on	on	ADP
ejpam-3065	34	14	the	the	DET
ejpam-3065	34	15	nonlinear	nonlinear	ADJ
ejpam-3065	34	16	schrödinger	schrödinger	NOUN
ejpam-3065	34	17	partial	partial	ADJ
ejpam-3065	34	18	differential	differential	NOUN
ejpam-3065	34	19	equation	equation	NOUN
ejpam-3065	34	20	with	with	ADP
ejpam-3065	34	21	vanishing	vanish	VERB
ejpam-3065	34	22	external	external	ADJ
ejpam-3065	34	23	potential	potential	NOUN
ejpam-3065	34	24	has	have	AUX
ejpam-3065	34	25	been	be	AUX
ejpam-3065	34	26	considered	consider	VERB
ejpam-3065	34	27	.	.	PUNCT
ejpam-3065	35	1	the	the	DET
ejpam-3065	35	2	facts	fact	NOUN
ejpam-3065	35	3	incorporated	incorporate	VERB
ejpam-3065	35	4	include	include	VERB
ejpam-3065	35	5	the	the	DET
ejpam-3065	35	6	points	point	NOUN
ejpam-3065	35	7	that	that	SCONJ
ejpam-3065	35	8	:	:	PUNCT
ejpam-3065	35	9	the	the	DET
ejpam-3065	35	10	schrödinger	schrödinger	NOUN
ejpam-3065	35	11	equation	equation	NOUN
ejpam-3065	35	12	requires	require	VERB
ejpam-3065	35	13	a	a	DET
ejpam-3065	35	14	complex	complex	ADJ
ejpam-3065	35	15	state	state	NOUN
ejpam-3065	35	16	function	function	NOUN
ejpam-3065	35	17	while	while	SCONJ
ejpam-3065	35	18	the	the	DET
ejpam-3065	35	19	black	black	ADJ
ejpam-3065	35	20	-	-	PUNCT
ejpam-3065	35	21	scholes	schole	NOUN
ejpam-3065	35	22	equation	equation	NOUN
ejpam-3065	35	23	is	be	AUX
ejpam-3065	35	24	a	a	DET
ejpam-3065	35	25	real	real	ADJ
ejpam-3065	35	26	pde	pde	NOUN
ejpam-3065	35	27	that	that	PRON
ejpam-3065	35	28	yields	yield	VERB
ejpam-3065	35	29	a	a	DET
ejpam-3065	35	30	real	real	ADV
ejpam-3065	35	31	valued	value	VERB
ejpam-3065	35	32	expression	expression	NOUN
ejpam-3065	35	33	for	for	ADP
ejpam-3065	35	34	the	the	DET
ejpam-3065	35	35	option	option	NOUN
ejpam-3065	35	36	price	price	NOUN
ejpam-3065	35	37	at	at	ADV
ejpam-3065	35	38	all	all	DET
ejpam-3065	35	39	time	time	NOUN
ejpam-3065	35	40	.	.	PUNCT
ejpam-3065	36	1	the	the	DET
ejpam-3065	36	2	black	black	ADJ
ejpam-3065	36	3	-	-	PUNCT
ejpam-3065	36	4	scholes	schole	NOUN
ejpam-3065	36	5	model	model	NOUN
ejpam-3065	36	6	(	(	PUNCT
ejpam-3065	36	7	2	2	X
ejpam-3065	36	8	)	)	PUNCT
ejpam-3065	36	9	can	can	AUX
ejpam-3065	36	10	be	be	AUX
ejpam-3065	36	11	applied	apply	VERB
ejpam-3065	36	12	to	to	ADP
ejpam-3065	36	13	a	a	DET
ejpam-3065	36	14	reasonable	reasonable	ADJ
ejpam-3065	36	15	number	number	NOUN
ejpam-3065	36	16	of	of	ADP
ejpam-3065	36	17	one	one	NUM
ejpam-3065	36	18	dimensional	dimensional	ADJ
ejpam-3065	36	19	option	option	NOUN
ejpam-3065	36	20	models	model	NOUN
ejpam-3065	36	21	ascribed	ascribe	VERB
ejpam-3065	36	22	to	to	ADP
ejpam-3065	36	23	u	u	PROPN
ejpam-3065	36	24	and	and	CCONJ
ejpam-3065	36	25	s	s	PROPN
ejpam-3065	36	26	,	,	PUNCT
ejpam-3065	36	27	say	say	VERB
ejpam-3065	36	28	for	for	ADP
ejpam-3065	36	29	puts	put	NOUN
ejpam-3065	36	30	/	/	SYM
ejpam-3065	36	31	calls	call	NOUN
ejpam-3065	36	32	and	and	CCONJ
ejpam-3065	36	33	stocks	stock	NOUN
ejpam-3065	36	34	/	/	SYM
ejpam-3065	36	35	dividends	dividend	NOUN
ejpam-3065	36	36	respectively	respectively	ADV
ejpam-3065	36	37	[	[	X
ejpam-3065	36	38	17	17	NUM
ejpam-3065	36	39	]	]	PUNCT
ejpam-3065	36	40	.	.	PUNCT
ejpam-3065	37	1	as	as	SCONJ
ejpam-3065	37	2	noted	note	VERB
ejpam-3065	37	3	in	in	ADP
ejpam-3065	37	4	[	[	X
ejpam-3065	37	5	11	11	NUM
ejpam-3065	37	6	,	,	PUNCT
ejpam-3065	37	7	23	23	NUM
ejpam-3065	37	8	]	]	PUNCT
ejpam-3065	37	9	,	,	PUNCT
ejpam-3065	37	10	one	one	PRON
ejpam-3065	37	11	could	could	AUX
ejpam-3065	37	12	consider	consider	VERB
ejpam-3065	37	13	the	the	DET
ejpam-3065	37	14	associated	associated	ADJ
ejpam-3065	37	15	probability	probability	NOUN
ejpam-3065	37	16	density	density	NOUN
ejpam-3065	37	17	function	function	NOUN
ejpam-3065	37	18	(	(	PUNCT
ejpam-3065	37	19	pdf	pdf	NOUN
ejpam-3065	37	20	)	)	PUNCT
ejpam-3065	37	21	resulting	result	VERB
ejpam-3065	37	22	from	from	ADP
ejpam-3065	37	23	the	the	DET
ejpam-3065	37	24	backward	backward	ADJ
ejpam-3065	37	25	fokker	fokker	NOUN
ejpam-3065	37	26	-	-	PUNCT
ejpam-3065	37	27	planck	planck	NOUN
ejpam-3065	37	28	equation	equation	NOUN
ejpam-3065	37	29	using	use	VERB
ejpam-3065	37	30	the	the	DET
ejpam-3065	37	31	classical	classical	ADJ
ejpam-3065	37	32	kolmogorov	kolmogorov	ADJ
ejpam-3065	37	33	probability	probability	NOUN
ejpam-3065	37	34	method	method	NOUN
ejpam-3065	37	35	instead	instead	ADV
ejpam-3065	37	36	of	of	ADP
ejpam-3065	37	37	the	the	DET
ejpam-3065	37	38	market	market	NOUN
ejpam-3065	37	39	value	value	NOUN
ejpam-3065	37	40	of	of	ADP
ejpam-3065	37	41	an	an	DET
ejpam-3065	37	42	option	option	NOUN
ejpam-3065	37	43	obtained	obtain	VERB
ejpam-3065	37	44	via	via	ADP
ejpam-3065	37	45	the	the	DET
ejpam-3065	37	46	black	black	ADJ
ejpam-3065	37	47	-	-	PUNCT
ejpam-3065	37	48	scholes	schole	NOUN
ejpam-3065	37	49	equation	equation	NOUN
ejpam-3065	37	50	.	.	PUNCT
ejpam-3065	38	1	2	2	X
ejpam-3065	38	2	.	.	X
ejpam-3065	38	3	the	the	DET
ejpam-3065	38	4	ivancevic	ivancevic	ADJ
ejpam-3065	38	5	option	option	NOUN
ejpam-3065	38	6	pricing	pricing	NOUN
ejpam-3065	38	7	model	model	NOUN
ejpam-3065	38	8	(	(	PUNCT
ejpam-3065	38	9	iopm	iopm	PROPN
ejpam-3065	38	10	)	)	PUNCT
ejpam-3065	39	1	[	[	X
ejpam-3065	39	2	13	13	NUM
ejpam-3065	39	3	]	]	PUNCT
ejpam-3065	39	4	as	as	ADP
ejpam-3065	39	5	an	an	DET
ejpam-3065	39	6	alternative	alternative	ADJ
ejpam-3065	39	7	method	method	NOUN
ejpam-3065	39	8	for	for	ADP
ejpam-3065	39	9	obtaining	obtain	VERB
ejpam-3065	39	10	the	the	DET
ejpam-3065	39	11	same	same	ADJ
ejpam-3065	39	12	pdf	pdf	NOUN
ejpam-3065	39	13	for	for	ADP
ejpam-3065	39	14	the	the	DET
ejpam-3065	39	15	market	market	NOUN
ejpam-3065	39	16	value	value	NOUN
ejpam-3065	39	17	of	of	ADP
ejpam-3065	39	18	a	a	DET
ejpam-3065	39	19	stock	stock	NOUN
ejpam-3065	39	20	option	option	NOUN
ejpam-3065	39	21	,	,	PUNCT
ejpam-3065	39	22	ivancevic	ivancevic	ADJ
ejpam-3065	39	23	[	[	X
ejpam-3065	39	24	18	18	NUM
ejpam-3065	39	25	]	]	PUNCT
ejpam-3065	39	26	applied	apply	VERB
ejpam-3065	39	27	the	the	DET
ejpam-3065	39	28	quantum	quantum	NOUN
ejpam-3065	39	29	-	-	PUNCT
ejpam-3065	39	30	probability	probability	NOUN
ejpam-3065	39	31	formation	formation	NOUN
ejpam-3065	39	32	as	as	ADP
ejpam-3065	39	33	a	a	DET
ejpam-3065	39	34	solution	solution	NOUN
ejpam-3065	39	35	to	to	ADP
ejpam-3065	39	36	a	a	DET
ejpam-3065	39	37	timedependent	timedependent	NOUN
ejpam-3065	39	38	schrödinger	schrödinger	NOUN
ejpam-3065	39	39	equation	equation	NOUN
ejpam-3065	39	40	(	(	PUNCT
ejpam-3065	39	41	linear	linear	ADJ
ejpam-3065	39	42	or	or	CCONJ
ejpam-3065	39	43	nonlinear	nonlinear	ADJ
ejpam-3065	39	44	)	)	PUNCT
ejpam-3065	39	45	for	for	ADP
ejpam-3065	39	46	the	the	DET
ejpam-3065	39	47	evolution	evolution	NOUN
ejpam-3065	39	48	of	of	ADP
ejpam-3065	39	49	the	the	DET
ejpam-3065	39	50	complexvalued	complexvalue	VERB
ejpam-3065	39	51	wave	wave	NOUN
ejpam-3065	39	52	function	function	NOUN
ejpam-3065	39	53	,	,	PUNCT
ejpam-3065	39	54	and	and	CCONJ
ejpam-3065	39	55	proposed	propose	VERB
ejpam-3065	39	56	an	an	DET
ejpam-3065	39	57	adaptive	adaptive	ADJ
ejpam-3065	39	58	,	,	PUNCT
ejpam-3065	39	59	wave	wave	NOUN
ejpam-3065	39	60	-	-	PUNCT
ejpam-3065	39	61	form	form	NOUN
ejpam-3065	39	62	nonlinear	nonlinear	ADJ
ejpam-3065	39	63	model	model	NOUN
ejpam-3065	39	64	[	[	X
ejpam-3065	39	65	6	6	NUM
ejpam-3065	39	66	,	,	PUNCT
ejpam-3065	39	67	20	20	NUM
ejpam-3065	39	68	]	]	PUNCT
ejpam-3065	39	69	.	.	PUNCT
ejpam-3065	40	1	o.	o.	PROPN
ejpam-3065	40	2	gonzález	gonzález	PROPN
ejpam-3065	40	3	-	-	PUNCT
ejpam-3065	40	4	gaxiola	gaxiola	PROPN
ejpam-3065	40	5	,	,	PUNCT
ejpam-3065	40	6	s.	s.	PROPN
ejpam-3065	40	7	o.	o.	PROPN
ejpam-3065	40	8	edeki	edeki	PROPN
ejpam-3065	41	1	et	et	PROPN
ejpam-3065	41	2	al	al	PROPN
ejpam-3065	41	3	/	/	PUNCT
ejpam-3065	41	4	eur	eur	PROPN
ejpam-3065	41	5	.	.	PUNCT
ejpam-3065	42	1	j.	j.	PROPN
ejpam-3065	42	2	pure	pure	PROPN
ejpam-3065	42	3	appl	appl	PROPN
ejpam-3065	42	4	.	.	PROPN
ejpam-3065	42	5	math	math	PROPN
ejpam-3065	42	6	,	,	PUNCT
ejpam-3065	42	7	10	10	NUM
ejpam-3065	42	8	(	(	PUNCT
ejpam-3065	42	9	4	4	NUM
ejpam-3065	42	10	)	)	PUNCT
ejpam-3065	42	11	(	(	PUNCT
ejpam-3065	42	12	2017	2017	NUM
ejpam-3065	42	13	)	)	PUNCT
ejpam-3065	42	14	,	,	PUNCT
ejpam-3065	42	15	631	631	NUM
ejpam-3065	42	16	-	-	SYM
ejpam-3065	42	17	637	637	NUM
ejpam-3065	42	18	633	633	NUM
ejpam-3065	42	19	henceforth	henceforth	ADV
ejpam-3065	42	20	,	,	PUNCT
ejpam-3065	42	21	such	such	ADJ
ejpam-3065	42	22	nonlinear	nonlinear	ADJ
ejpam-3065	42	23	adaptive	adaptive	ADJ
ejpam-3065	42	24	model	model	NOUN
ejpam-3065	42	25	is	be	AUX
ejpam-3065	42	26	referred	refer	VERB
ejpam-3065	42	27	to	to	ADP
ejpam-3065	42	28	as	as	SCONJ
ejpam-3065	42	29	ivancevic	ivancevic	ADJ
ejpam-3065	42	30	option	option	NOUN
ejpam-3065	42	31	pricing	pricing	NOUN
ejpam-3065	42	32	model	model	NOUN
ejpam-3065	42	33	as	as	SCONJ
ejpam-3065	42	34	follows	follow	VERB
ejpam-3065	42	35	:	:	PUNCT
ejpam-3065	43	1	i	i	PRON
ejpam-3065	43	2	∂w	∂w	PROPN
ejpam-3065	44	1	∂t	∂t	PROPN
ejpam-3065	44	2	+	+	CCONJ
ejpam-3065	44	3	1	1	NUM
ejpam-3065	44	4	2	2	NUM
ejpam-3065	44	5	σ2	σ2	NOUN
ejpam-3065	44	6	∂2w	∂2w	VERB
ejpam-3065	44	7	∂s2	∂s2	NOUN
ejpam-3065	44	8	+	+	CCONJ
ejpam-3065	44	9	β|w|2w	β|w|2w	SYM
ejpam-3065	44	10	=	=	SYM
ejpam-3065	44	11	0	0	NUM
ejpam-3065	44	12	,	,	PUNCT
ejpam-3065	44	13	i2	i2	NOUN
ejpam-3065	44	14	=	=	SYM
ejpam-3065	44	15	−1	−1	NOUN
ejpam-3065	44	16	(	(	PUNCT
ejpam-3065	44	17	4	4	NUM
ejpam-3065	44	18	)	)	PUNCT
ejpam-3065	44	19	where	where	SCONJ
ejpam-3065	44	20	w	w	NOUN
ejpam-3065	44	21	=	=	SYM
ejpam-3065	44	22	w(s	w(s	PROPN
ejpam-3065	44	23	,	,	PUNCT
ejpam-3065	44	24	t	t	PROPN
ejpam-3065	44	25	)	)	PUNCT
ejpam-3065	44	26	denotes	denote	VERB
ejpam-3065	44	27	the	the	DET
ejpam-3065	44	28	option	option	NOUN
ejpam-3065	44	29	pricing	pricing	NOUN
ejpam-3065	44	30	wave	wave	NOUN
ejpam-3065	44	31	-	-	PUNCT
ejpam-3065	44	32	function	function	NOUN
ejpam-3065	44	33	at	at	ADP
ejpam-3065	44	34	time	time	NOUN
ejpam-3065	44	35	t	t	PROPN
ejpam-3065	44	36	,	,	PUNCT
ejpam-3065	44	37	|w|2	|w|2	PROPN
ejpam-3065	44	38	=	=	SYM
ejpam-3065	44	39	|w(s	|w(s	PROPN
ejpam-3065	44	40	,	,	PUNCT
ejpam-3065	44	41	t)|2	t)|2	NOUN
ejpam-3065	44	42	represents	represent	VERB
ejpam-3065	44	43	the	the	DET
ejpam-3065	44	44	pdf	pdf	NOUN
ejpam-3065	44	45	for	for	ADP
ejpam-3065	44	46	the	the	DET
ejpam-3065	44	47	option	option	NOUN
ejpam-3065	44	48	price	price	NOUN
ejpam-3065	44	49	with	with	ADP
ejpam-3065	44	50	regard	regard	NOUN
ejpam-3065	44	51	to	to	ADP
ejpam-3065	44	52	stock	stock	NOUN
ejpam-3065	44	53	price	price	NOUN
ejpam-3065	44	54	and	and	CCONJ
ejpam-3065	44	55	time	time	NOUN
ejpam-3065	44	56	,	,	PUNCT
ejpam-3065	44	57	σ	σ	PROPN
ejpam-3065	44	58	represents	represent	VERB
ejpam-3065	44	59	a	a	DET
ejpam-3065	44	60	constant	constant	ADJ
ejpam-3065	44	61	or	or	CCONJ
ejpam-3065	44	62	stochastic	stochastic	ADJ
ejpam-3065	44	63	process	process	NOUN
ejpam-3065	44	64	as	as	ADP
ejpam-3065	44	65	the	the	DET
ejpam-3065	44	66	dispersion	dispersion	NOUN
ejpam-3065	44	67	frequency	frequency	NOUN
ejpam-3065	44	68	volatility	volatility	NOUN
ejpam-3065	44	69	coefficient	coefficient	NOUN
ejpam-3065	44	70	while	while	SCONJ
ejpam-3065	44	71	β	β	PROPN
ejpam-3065	44	72	is	be	AUX
ejpam-3065	44	73	referred	refer	VERB
ejpam-3065	44	74	to	to	ADP
ejpam-3065	44	75	as	as	SCONJ
ejpam-3065	44	76	the	the	DET
ejpam-3065	44	77	landau	landau	NOUN
ejpam-3065	44	78	coefficient	coefficient	NOUN
ejpam-3065	44	79	representing	represent	VERB
ejpam-3065	44	80	adaptive	adaptive	ADJ
ejpam-3065	44	81	market	market	NOUN
ejpam-3065	44	82	potential	potential	NOUN
ejpam-3065	44	83	.	.	PUNCT
ejpam-3065	45	1	the	the	DET
ejpam-3065	45	2	model	model	NOUN
ejpam-3065	45	3	(	(	PUNCT
ejpam-3065	45	4	4	4	NUM
ejpam-3065	45	5	)	)	PUNCT
ejpam-3065	45	6	becomes	become	VERB
ejpam-3065	45	7	linear	linear	ADJ
ejpam-3065	45	8	if	if	SCONJ
ejpam-3065	45	9	β	β	X
ejpam-3065	45	10	=	=	NOUN
ejpam-3065	45	11	0	0	PUNCT
ejpam-3065	45	12	.	.	PUNCT
ejpam-3065	46	1	in	in	ADP
ejpam-3065	46	2	this	this	DET
ejpam-3065	46	3	work	work	NOUN
ejpam-3065	46	4	,	,	PUNCT
ejpam-3065	46	5	a	a	DET
ejpam-3065	46	6	case	case	NOUN
ejpam-3065	46	7	of	of	ADP
ejpam-3065	46	8	non	non	ADJ
ejpam-3065	46	9	-	-	ADJ
ejpam-3065	46	10	zero	zero	ADJ
ejpam-3065	46	11	adaptive	adaptive	ADJ
ejpam-3065	46	12	market	market	NOUN
ejpam-3065	46	13	potential	potential	NOUN
ejpam-3065	46	14	(	(	PUNCT
ejpam-3065	46	15	β	β	X
ejpam-3065	46	16	6=	6=	NUM
ejpam-3065	46	17	0	0	NUM
ejpam-3065	46	18	)	)	PUNCT
ejpam-3065	46	19	will	will	AUX
ejpam-3065	46	20	be	be	AUX
ejpam-3065	46	21	considered	consider	VERB
ejpam-3065	46	22	in	in	ADP
ejpam-3065	46	23	terms	term	NOUN
ejpam-3065	46	24	of	of	ADP
ejpam-3065	46	25	analytical	analytical	ADJ
ejpam-3065	46	26	solutions	solution	NOUN
ejpam-3065	46	27	using	use	VERB
ejpam-3065	46	28	a	a	DET
ejpam-3065	46	29	proposed	propose	VERB
ejpam-3065	46	30	semi	semi	ADJ
ejpam-3065	46	31	-	-	ADJ
ejpam-3065	46	32	analytical	analytical	ADJ
ejpam-3065	46	33	method	method	NOUN
ejpam-3065	46	34	referred	refer	VERB
ejpam-3065	46	35	to	to	ADP
ejpam-3065	46	36	as	as	SCONJ
ejpam-3065	46	37	he	he	PRON
ejpam-3065	46	38	’s	’	VERB
ejpam-3065	46	39	frequency	frequency	NOUN
ejpam-3065	46	40	amplitude	amplitude	NOUN
ejpam-3065	46	41	formulation	formulation	NOUN
ejpam-3065	46	42	.	.	PUNCT
ejpam-3065	47	1	3	3	X
ejpam-3065	47	2	.	.	X
ejpam-3065	48	1	he	he	PRON
ejpam-3065	48	2	’s	’	VERB
ejpam-3065	48	3	amplitude	amplitude	NOUN
ejpam-3065	48	4	frequency	frequency	NOUN
ejpam-3065	48	5	formulation	formulation	NOUN
ejpam-3065	48	6	he	he	PRON
ejpam-3065	48	7	’s	’	VERB
ejpam-3065	48	8	frequency	frequency	NOUN
ejpam-3065	48	9	amplitude	amplitude	NOUN
ejpam-3065	48	10	formulation	formulation	NOUN
ejpam-3065	48	11	is	be	AUX
ejpam-3065	48	12	the	the	DET
ejpam-3065	48	13	development	development	NOUN
ejpam-3065	48	14	of	of	ADP
ejpam-3065	48	15	an	an	DET
ejpam-3065	48	16	ancient	ancient	ADJ
ejpam-3065	48	17	chinese	chinese	ADJ
ejpam-3065	48	18	algorithm	algorithm	NOUN
ejpam-3065	48	19	[	[	X
ejpam-3065	48	20	14	14	NUM
ejpam-3065	48	21	,	,	PUNCT
ejpam-3065	48	22	15	15	NUM
ejpam-3065	48	23	,	,	PUNCT
ejpam-3065	48	24	16	16	NUM
ejpam-3065	48	25	]	]	PUNCT
ejpam-3065	48	26	;	;	PUNCT
ejpam-3065	48	27	it	it	PRON
ejpam-3065	48	28	is	be	AUX
ejpam-3065	48	29	very	very	ADV
ejpam-3065	48	30	effective	effective	ADJ
ejpam-3065	48	31	to	to	ADP
ejpam-3065	48	32	nonlinear	nonlinear	ADJ
ejpam-3065	48	33	oscillators	oscillator	NOUN
ejpam-3065	48	34	as	as	SCONJ
ejpam-3065	48	35	shown	show	VERB
ejpam-3065	48	36	by	by	ADP
ejpam-3065	48	37	the	the	DET
ejpam-3065	48	38	authors	author	NOUN
ejpam-3065	48	39	in	in	ADP
ejpam-3065	48	40	[	[	X
ejpam-3065	48	41	26	26	NUM
ejpam-3065	48	42	]	]	PUNCT
ejpam-3065	48	43	.	.	PUNCT
ejpam-3065	49	1	we	we	PRON
ejpam-3065	49	2	consider	consider	VERB
ejpam-3065	49	3	a	a	DET
ejpam-3065	49	4	generalized	generalized	ADJ
ejpam-3065	49	5	nonlinear	nonlinear	ADJ
ejpam-3065	49	6	oscillator	oscillator	NOUN
ejpam-3065	49	7	in	in	ADP
ejpam-3065	49	8	the	the	DET
ejpam-3065	49	9	form	form	NOUN
ejpam-3065	49	10	u′′	u′′	PROPN
ejpam-3065	49	11	+	+	CCONJ
ejpam-3065	49	12	f(u	f(u	PROPN
ejpam-3065	49	13	)	)	PUNCT
ejpam-3065	49	14	=	=	SYM
ejpam-3065	49	15	0	0	NUM
ejpam-3065	49	16	,	,	PUNCT
ejpam-3065	49	17	u(0	u(0	NOUN
ejpam-3065	49	18	)	)	PUNCT
ejpam-3065	49	19	=	=	SYM
ejpam-3065	50	1	a	a	PROPN
ejpam-3065	50	2	,	,	PUNCT
ejpam-3065	50	3	u′(0	u′(0	PROPN
ejpam-3065	50	4	)	)	PUNCT
ejpam-3065	50	5	=	=	SYM
ejpam-3065	50	6	0	0	X
ejpam-3065	50	7	.	.	PUNCT
ejpam-3065	51	1	(	(	PUNCT
ejpam-3065	51	2	5	5	X
ejpam-3065	51	3	)	)	PUNCT
ejpam-3065	51	4	we	we	PRON
ejpam-3065	51	5	use	use	VERB
ejpam-3065	51	6	two	two	NUM
ejpam-3065	51	7	trial	trial	NOUN
ejpam-3065	51	8	functions	function	NOUN
ejpam-3065	51	9	u1(t	u1(t	PRON
ejpam-3065	51	10	)	)	PUNCT
ejpam-3065	51	11	=	=	PUNCT
ejpam-3065	51	12	acost	acost	NOUN
ejpam-3065	51	13	and	and	CCONJ
ejpam-3065	51	14	u2(t	u2(t	NOUN
ejpam-3065	51	15	)	)	PUNCT
ejpam-3065	51	16	=	=	SYM
ejpam-3065	51	17	acosωt	acosωt	NOUN
ejpam-3065	51	18	,	,	PUNCT
ejpam-3065	51	19	which	which	PRON
ejpam-3065	51	20	are	be	AUX
ejpam-3065	51	21	,	,	PUNCT
ejpam-3065	51	22	respectively	respectively	ADV
ejpam-3065	51	23	,	,	PUNCT
ejpam-3065	51	24	the	the	DET
ejpam-3065	51	25	solutions	solution	NOUN
ejpam-3065	51	26	of	of	ADP
ejpam-3065	51	27	the	the	DET
ejpam-3065	51	28	following	following	ADJ
ejpam-3065	51	29	linear	linear	PROPN
ejpam-3065	51	30	oscillator	oscillator	NOUN
ejpam-3065	51	31	equations	equation	NOUN
ejpam-3065	51	32	:	:	PUNCT
ejpam-3065	51	33	u′′	u′′	PROPN
ejpam-3065	51	34	+	+	CCONJ
ejpam-3065	51	35	ω2	ω2	ADJ
ejpam-3065	51	36	1u	1u	NUM
ejpam-3065	51	37	=	=	SYM
ejpam-3065	51	38	0	0	NUM
ejpam-3065	51	39	,	,	PUNCT
ejpam-3065	51	40	ω2	ω2	NOUN
ejpam-3065	51	41	1	1	NUM
ejpam-3065	51	42	=	=	SYM
ejpam-3065	51	43	1	1	NUM
ejpam-3065	51	44	(	(	PUNCT
ejpam-3065	51	45	6	6	NUM
ejpam-3065	51	46	)	)	PUNCT
ejpam-3065	51	47	and	and	CCONJ
ejpam-3065	51	48	u′′	u′′	PROPN
ejpam-3065	51	49	+	+	CCONJ
ejpam-3065	51	50	ω2	ω2	ADJ
ejpam-3065	51	51	2u	2u	NOUN
ejpam-3065	51	52	=	=	SYM
ejpam-3065	51	53	0	0	NUM
ejpam-3065	51	54	,	,	PUNCT
ejpam-3065	51	55	ω2	ω2	ADJ
ejpam-3065	51	56	2	2	NUM
ejpam-3065	51	57	=	=	SYM
ejpam-3065	51	58	ω2	ω2	NUM
ejpam-3065	51	59	.	.	PUNCT
ejpam-3065	52	1	(	(	PUNCT
ejpam-3065	52	2	7	7	NUM
ejpam-3065	52	3	)	)	PUNCT
ejpam-3065	52	4	where	where	SCONJ
ejpam-3065	52	5	ω	ω	PROPN
ejpam-3065	52	6	is	be	AUX
ejpam-3065	52	7	assumed	assume	VERB
ejpam-3065	52	8	to	to	PART
ejpam-3065	52	9	be	be	AUX
ejpam-3065	52	10	the	the	DET
ejpam-3065	52	11	frequency	frequency	NOUN
ejpam-3065	52	12	of	of	ADP
ejpam-3065	52	13	the	the	DET
ejpam-3065	52	14	nonlinear	nonlinear	ADJ
ejpam-3065	52	15	oscillator	oscillator	NOUN
ejpam-3065	52	16	,	,	PUNCT
ejpam-3065	52	17	equation	equation	NOUN
ejpam-3065	52	18	(	(	PUNCT
ejpam-3065	52	19	5	5	NUM
ejpam-3065	52	20	)	)	PUNCT
ejpam-3065	52	21	.	.	PUNCT
ejpam-3065	53	1	for	for	ADP
ejpam-3065	53	2	the	the	DET
ejpam-3065	53	3	case	case	NOUN
ejpam-3065	53	4	of	of	ADP
ejpam-3065	53	5	equation	equation	NOUN
ejpam-3065	53	6	(	(	PUNCT
ejpam-3065	53	7	5	5	NUM
ejpam-3065	53	8	)	)	PUNCT
ejpam-3065	53	9	,	,	PUNCT
ejpam-3065	53	10	the	the	DET
ejpam-3065	53	11	residuals	residual	NOUN
ejpam-3065	53	12	are	be	AUX
ejpam-3065	53	13	r1(t	r1(t	NOUN
ejpam-3065	53	14	)	)	PUNCT
ejpam-3065	54	1	=	=	SYM
ejpam-3065	54	2	−cost+	−cost+	NOUN
ejpam-3065	54	3	f(acost	f(acost	NOUN
ejpam-3065	54	4	)	)	PUNCT
ejpam-3065	54	5	(	(	PUNCT
ejpam-3065	54	6	8)	8)	NUM
ejpam-3065	54	7	and	and	CCONJ
ejpam-3065	54	8	r2(ωt	r2(ωt	NUM
ejpam-3065	54	9	)	)	PUNCT
ejpam-3065	54	10	=	=	SYM
ejpam-3065	55	1	−ω2cosωt+	−ω2cosωt+	NUM
ejpam-3065	55	2	f(acosωt	f(acosωt	ADJ
ejpam-3065	55	3	)	)	PUNCT
ejpam-3065	55	4	.	.	PUNCT
ejpam-3065	56	1	(	(	PUNCT
ejpam-3065	56	2	9	9	X
ejpam-3065	56	3	)	)	PUNCT
ejpam-3065	56	4	we	we	PRON
ejpam-3065	56	5	will	will	AUX
ejpam-3065	56	6	use	use	VERB
ejpam-3065	56	7	the	the	DET
ejpam-3065	56	8	following	follow	VERB
ejpam-3065	56	9	frequency	frequency	NOUN
ejpam-3065	56	10	-	-	PUNCT
ejpam-3065	56	11	amplitude	amplitude	NOUN
ejpam-3065	56	12	formulation	formulation	NOUN
ejpam-3065	56	13	:	:	PUNCT
ejpam-3065	56	14	ω2	ω2	PROPN
ejpam-3065	56	15	=	=	SYM
ejpam-3065	57	1	ω2	ω2	ADJ
ejpam-3065	57	2	1r2(ωt	1r2(ωt	NOUN
ejpam-3065	58	1	=	=	SYM
ejpam-3065	58	2	0)−	0)−	PROPN
ejpam-3065	58	3	ω2	ω2	ADJ
ejpam-3065	58	4	2r1(t	2r1(t	NUM
ejpam-3065	59	1	=	=	SYM
ejpam-3065	59	2	0	0	X
ejpam-3065	59	3	)	)	PUNCT
ejpam-3065	59	4	r2	r2	NOUN
ejpam-3065	59	5	−r1	−r1	PROPN
ejpam-3065	59	6	.	.	PUNCT
ejpam-3065	60	1	(	(	PUNCT
ejpam-3065	60	2	10	10	NUM
ejpam-3065	60	3	)	)	PUNCT
ejpam-3065	60	4	in	in	ADP
ejpam-3065	60	5	order	order	NOUN
ejpam-3065	60	6	to	to	PART
ejpam-3065	60	7	use	use	VERB
ejpam-3065	60	8	he	he	PRON
ejpam-3065	60	9	’s	’s	PART
ejpam-3065	60	10	amplitude	amplitude	NOUN
ejpam-3065	60	11	frequency	frequency	NOUN
ejpam-3065	60	12	formulation	formulation	NOUN
ejpam-3065	60	13	,	,	PUNCT
ejpam-3065	60	14	we	we	PRON
ejpam-3065	60	15	choose	choose	VERB
ejpam-3065	60	16	two	two	NUM
ejpam-3065	60	17	trial	trial	NOUN
ejpam-3065	60	18	functions	function	NOUN
ejpam-3065	60	19	u1(s	u1(s	PROPN
ejpam-3065	60	20	,	,	PUNCT
ejpam-3065	60	21	t	t	PROPN
ejpam-3065	60	22	)	)	PUNCT
ejpam-3065	60	23	and	and	CCONJ
ejpam-3065	60	24	u2(s	u2(s	PROPN
ejpam-3065	60	25	,	,	PUNCT
ejpam-3065	60	26	t	t	PROPN
ejpam-3065	60	27	)	)	PUNCT
ejpam-3065	60	28	with	with	ADP
ejpam-3065	60	29	which	which	PRON
ejpam-3065	60	30	we	we	PRON
ejpam-3065	60	31	calculate	calculate	VERB
ejpam-3065	60	32	the	the	DET
ejpam-3065	60	33	residuals	residual	NOUN
ejpam-3065	60	34	r1(s	r1(s	NOUN
ejpam-3065	60	35	,	,	PUNCT
ejpam-3065	60	36	t	t	PROPN
ejpam-3065	60	37	)	)	PUNCT
ejpam-3065	60	38	and	and	CCONJ
ejpam-3065	60	39	r2(s	r2(s	PROPN
ejpam-3065	60	40	,	,	PUNCT
ejpam-3065	60	41	t	t	PROPN
ejpam-3065	60	42	)	)	PUNCT
ejpam-3065	60	43	respectively	respectively	ADV
ejpam-3065	60	44	.	.	PUNCT
ejpam-3065	61	1	the	the	DET
ejpam-3065	61	2	trial	trial	NOUN
ejpam-3065	61	3	functions	function	NOUN
ejpam-3065	61	4	u1(s	u1(s	PROPN
ejpam-3065	61	5	,	,	PUNCT
ejpam-3065	61	6	t	t	PROPN
ejpam-3065	61	7	)	)	PUNCT
ejpam-3065	61	8	and	and	CCONJ
ejpam-3065	61	9	u2(s	u2(s	PROPN
ejpam-3065	61	10	,	,	PUNCT
ejpam-3065	61	11	t	t	PROPN
ejpam-3065	61	12	)	)	PUNCT
ejpam-3065	61	13	for	for	ADP
ejpam-3065	61	14	the	the	DET
ejpam-3065	61	15	application	application	NOUN
ejpam-3065	61	16	of	of	ADP
ejpam-3065	61	17	the	the	DET
ejpam-3065	61	18	present	present	ADJ
ejpam-3065	61	19	study	study	NOUN
ejpam-3065	61	20	are	be	AUX
ejpam-3065	61	21	solutions	solution	NOUN
ejpam-3065	61	22	of	of	ADP
ejpam-3065	61	23	the	the	DET
ejpam-3065	61	24	following	follow	VERB
ejpam-3065	61	25	linear	linear	PROPN
ejpam-3065	61	26	schrödinger	schrödinger	NOUN
ejpam-3065	61	27	equation	equation	NOUN
ejpam-3065	62	1	i	i	PRON
ejpam-3065	62	2	∂w	∂w	PROPN
ejpam-3065	63	1	∂t	∂t	PROPN
ejpam-3065	63	2	+	+	PROPN
ejpam-3065	63	3	ω	ω	PROPN
ejpam-3065	63	4	∂2w	∂2w	VERB
ejpam-3065	63	5	∂s2	∂s2	NOUN
ejpam-3065	63	6	=	=	SYM
ejpam-3065	63	7	0	0	NUM
ejpam-3065	63	8	.	.	PUNCT
ejpam-3065	64	1	(	(	PUNCT
ejpam-3065	64	2	11	11	NUM
ejpam-3065	64	3	)	)	PUNCT
ejpam-3065	64	4	o.	o.	PROPN
ejpam-3065	64	5	gonzález	gonzález	PROPN
ejpam-3065	64	6	-	-	PUNCT
ejpam-3065	64	7	gaxiola	gaxiola	PROPN
ejpam-3065	64	8	,	,	PUNCT
ejpam-3065	64	9	s.	s.	PROPN
ejpam-3065	64	10	o.	o.	PROPN
ejpam-3065	64	11	edeki	edeki	PROPN
ejpam-3065	64	12	et	et	PROPN
ejpam-3065	64	13	al	al	PROPN
ejpam-3065	64	14	/	/	PUNCT
ejpam-3065	64	15	eur	eur	PROPN
ejpam-3065	64	16	.	.	PUNCT
ejpam-3065	65	1	j.	j.	PROPN
ejpam-3065	65	2	pure	pure	PROPN
ejpam-3065	65	3	appl	appl	PROPN
ejpam-3065	65	4	.	.	PROPN
ejpam-3065	65	5	math	math	PROPN
ejpam-3065	65	6	,	,	PUNCT
ejpam-3065	65	7	10	10	NUM
ejpam-3065	65	8	(	(	PUNCT
ejpam-3065	65	9	4	4	NUM
ejpam-3065	65	10	)	)	PUNCT
ejpam-3065	65	11	(	(	PUNCT
ejpam-3065	65	12	2017	2017	NUM
ejpam-3065	65	13	)	)	PUNCT
ejpam-3065	65	14	,	,	PUNCT
ejpam-3065	65	15	631	631	NUM
ejpam-3065	65	16	-	-	SYM
ejpam-3065	65	17	637	637	NUM
ejpam-3065	65	18	634	634	NUM
ejpam-3065	65	19	he	he	PRON
ejpam-3065	65	20	’s	’s	PART
ejpam-3065	65	21	amplitude	amplitude	NOUN
ejpam-3065	65	22	frequency	frequency	NOUN
ejpam-3065	65	23	formulation	formulation	NOUN
ejpam-3065	65	24	reads	read	VERB
ejpam-3065	65	25	[	[	X
ejpam-3065	65	26	16	16	NUM
ejpam-3065	65	27	]	]	X
ejpam-3065	65	28	ω2	ω2	NOUN
ejpam-3065	65	29	=	=	SYM
ejpam-3065	65	30	r2(s	r2(s	PROPN
ejpam-3065	65	31	,	,	PUNCT
ejpam-3065	65	32	0)−	0)−	NUM
ejpam-3065	65	33	ω2r1(s	ω2r1(s	ADP
ejpam-3065	65	34	,	,	PUNCT
ejpam-3065	65	35	0	0	NUM
ejpam-3065	65	36	)	)	PUNCT
ejpam-3065	65	37	r2(s	r2(s	PROPN
ejpam-3065	65	38	,	,	PUNCT
ejpam-3065	65	39	0)−r1(s	0)−r1(s	NOUN
ejpam-3065	65	40	,	,	PUNCT
ejpam-3065	65	41	0	0	NUM
ejpam-3065	65	42	)	)	PUNCT
ejpam-3065	65	43	.	.	PUNCT
ejpam-3065	66	1	(	(	PUNCT
ejpam-3065	66	2	12	12	NUM
ejpam-3065	66	3	)	)	PUNCT
ejpam-3065	66	4	from	from	ADP
ejpam-3065	66	5	eq	eq	NOUN
ejpam-3065	66	6	(	(	PUNCT
ejpam-3065	66	7	12	12	NUM
ejpam-3065	66	8	)	)	PUNCT
ejpam-3065	66	9	we	we	PRON
ejpam-3065	66	10	can	can	AUX
ejpam-3065	66	11	obtain	obtain	VERB
ejpam-3065	66	12	approximate	approximate	ADJ
ejpam-3065	66	13	solutions	solution	NOUN
ejpam-3065	66	14	for	for	ADP
ejpam-3065	66	15	a	a	DET
ejpam-3065	66	16	certain	certain	ADJ
ejpam-3065	66	17	type	type	NOUN
ejpam-3065	66	18	of	of	ADP
ejpam-3065	66	19	differential	differential	ADJ
ejpam-3065	66	20	equations	equation	NOUN
ejpam-3065	66	21	whose	whose	DET
ejpam-3065	66	22	solutions	solution	NOUN
ejpam-3065	66	23	are	be	AUX
ejpam-3065	66	24	a	a	DET
ejpam-3065	66	25	priori	priori	ADJ
ejpam-3065	66	26	periodic	periodic	NOUN
ejpam-3065	66	27	.	.	PUNCT
ejpam-3065	67	1	3.1	3.1	NUM
ejpam-3065	67	2	.	.	PUNCT
ejpam-3065	67	3	numerical	numerical	ADJ
ejpam-3065	67	4	illustrative	illustrative	ADJ
ejpam-3065	67	5	examples	example	NOUN
ejpam-3065	67	6	in	in	ADP
ejpam-3065	67	7	this	this	DET
ejpam-3065	67	8	subsection	subsection	NOUN
ejpam-3065	67	9	,	,	PUNCT
ejpam-3065	67	10	we	we	PRON
ejpam-3065	67	11	consider	consider	VERB
ejpam-3065	67	12	the	the	DET
ejpam-3065	67	13	following	follow	VERB
ejpam-3065	67	14	cases	case	NOUN
ejpam-3065	67	15	for	for	ADP
ejpam-3065	67	16	numerical	numerical	ADJ
ejpam-3065	67	17	examples	example	NOUN
ejpam-3065	67	18	.	.	PUNCT
ejpam-3065	68	1	example	example	NOUN
ejpam-3065	69	1	1	1	NUM
ejpam-3065	69	2	.	.	PUNCT
ejpam-3065	69	3	suppose	suppose	VERB
ejpam-3065	69	4	β	β	X
ejpam-3065	69	5	=	=	SYM
ejpam-3065	69	6	2	2	NUM
ejpam-3065	69	7	and	and	CCONJ
ejpam-3065	69	8	σ	σ	NUM
ejpam-3065	69	9	=	=	NOUN
ejpam-3065	69	10	√	√	ADP
ejpam-3065	69	11	2	2	NUM
ejpam-3065	69	12	.	.	PUNCT
ejpam-3065	70	1	then	then	ADV
ejpam-3065	70	2	the	the	DET
ejpam-3065	70	3	corresponding	corresponding	ADJ
ejpam-3065	70	4	ivancevic	ivancevic	ADJ
ejpam-3065	70	5	option	option	NOUN
ejpam-3065	70	6	pricing	pricing	NOUN
ejpam-3065	70	7	model	model	NOUN
ejpam-3065	70	8	given	give	VERB
ejpam-3065	70	9	by	by	ADP
ejpam-3065	70	10	eq	eq	ADJ
ejpam-3065	70	11	(	(	PUNCT
ejpam-3065	70	12	4	4	NUM
ejpam-3065	70	13	)	)	PUNCT
ejpam-3065	70	14	is	be	AUX
ejpam-3065	70	15	:	:	PUNCT
ejpam-3065	70	16	{	{	PUNCT
ejpam-3065	70	17	∂w	∂w	PROPN
ejpam-3065	70	18	∂t	∂t	PROPN
ejpam-3065	70	19	=	=	PUNCT
ejpam-3065	70	20	i	i	PROPN
ejpam-3065	70	21	(	(	PUNCT
ejpam-3065	70	22	∂2w	∂2w	ADP
ejpam-3065	70	23	∂s2	∂s2	PROPN
ejpam-3065	70	24	+	+	PROPN
ejpam-3065	70	25	2|w|2w	2|w|2w	NUM
ejpam-3065	70	26	)	)	PUNCT
ejpam-3065	70	27	,	,	PUNCT
ejpam-3065	70	28	w(s	w(s	PROPN
ejpam-3065	70	29	,	,	PUNCT
ejpam-3065	70	30	0	0	NUM
ejpam-3065	70	31	)	)	PUNCT
ejpam-3065	70	32	=	=	NOUN
ejpam-3065	70	33	e2is	e2is	PUNCT
ejpam-3065	70	34	.	.	PUNCT
ejpam-3065	71	1	(	(	PUNCT
ejpam-3065	71	2	13	13	NUM
ejpam-3065	71	3	)	)	PUNCT
ejpam-3065	71	4	we	we	PRON
ejpam-3065	71	5	use	use	VERB
ejpam-3065	71	6	the	the	DET
ejpam-3065	71	7	trial	trial	NOUN
ejpam-3065	71	8	functions	function	NOUN
ejpam-3065	71	9	w1(s	w1(s	PROPN
ejpam-3065	71	10	,	,	PUNCT
ejpam-3065	71	11	t	t	PROPN
ejpam-3065	71	12	)	)	PUNCT
ejpam-3065	71	13	=	=	SYM
ejpam-3065	71	14	ei(2s+t	ei(2s+t	PROPN
ejpam-3065	71	15	)	)	PUNCT
ejpam-3065	71	16	,	,	PUNCT
ejpam-3065	71	17	w2(s	w2(s	PROPN
ejpam-3065	71	18	,	,	PUNCT
ejpam-3065	71	19	t	t	PROPN
ejpam-3065	71	20	)	)	PUNCT
ejpam-3065	71	21	=	=	SYM
ejpam-3065	71	22	ei(2s+ωt	ei(2s+ωt	PROPN
ejpam-3065	71	23	)	)	PUNCT
ejpam-3065	71	24	.	.	PUNCT
ejpam-3065	72	1	(	(	PUNCT
ejpam-3065	72	2	14	14	NUM
ejpam-3065	72	3	)	)	PUNCT
ejpam-3065	72	4	by	by	ADP
ejpam-3065	72	5	calculation	calculation	NOUN
ejpam-3065	72	6	,	,	PUNCT
ejpam-3065	72	7	we	we	PRON
ejpam-3065	72	8	obtain	obtain	VERB
ejpam-3065	72	9	w1,t	w1,t	PROPN
ejpam-3065	72	10	=	=	PUNCT
ejpam-3065	72	11	iei(2s+t	iei(2s+t	PROPN
ejpam-3065	72	12	)	)	PUNCT
ejpam-3065	72	13	,	,	PUNCT
ejpam-3065	72	14	w1,s	w1,s	PROPN
ejpam-3065	72	15	=	=	SYM
ejpam-3065	72	16	2iei(2s+t	2iei(2s+t	NUM
ejpam-3065	72	17	)	)	PUNCT
ejpam-3065	72	18	,	,	PUNCT
ejpam-3065	72	19	w1,ss	w1,ss	PROPN
ejpam-3065	72	20	=	=	SYM
ejpam-3065	72	21	−4ei(2s+t	−4ei(2s+t	PROPN
ejpam-3065	72	22	)	)	PUNCT
ejpam-3065	72	23	(	(	PUNCT
ejpam-3065	72	24	15	15	X
ejpam-3065	72	25	)	)	PUNCT
ejpam-3065	72	26	w2,t	w2,t	PROPN
ejpam-3065	72	27	=	=	PUNCT
ejpam-3065	72	28	iωei(2s+ωt	iωei(2s+ωt	NOUN
ejpam-3065	72	29	)	)	PUNCT
ejpam-3065	72	30	,	,	PUNCT
ejpam-3065	72	31	w2,s	w2,s	PROPN
ejpam-3065	72	32	=	=	SYM
ejpam-3065	72	33	2iei(2s+ωt	2iei(2s+ωt	NUM
ejpam-3065	72	34	)	)	PUNCT
ejpam-3065	72	35	,	,	PUNCT
ejpam-3065	72	36	w2,ss	w2,ss	X
ejpam-3065	72	37	=	=	PUNCT
ejpam-3065	72	38	−4ei(2s+ωt	−4ei(2s+ωt	PROPN
ejpam-3065	72	39	)	)	PUNCT
ejpam-3065	72	40	.	.	PUNCT
ejpam-3065	73	1	(	(	PUNCT
ejpam-3065	73	2	16	16	NUM
ejpam-3065	73	3	)	)	PUNCT
ejpam-3065	73	4	substituting	substitute	VERB
ejpam-3065	73	5	the	the	DET
ejpam-3065	73	6	two	two	NUM
ejpam-3065	73	7	trial	trial	NOUN
ejpam-3065	73	8	functions	function	NOUN
ejpam-3065	73	9	and	and	CCONJ
ejpam-3065	73	10	their	their	PRON
ejpam-3065	73	11	derivatives	derivative	NOUN
ejpam-3065	73	12	into	into	ADP
ejpam-3065	73	13	eq	eq	NOUN
ejpam-3065	73	14	.	.	PUNCT
ejpam-3065	74	1	(	(	PUNCT
ejpam-3065	74	2	13	13	NUM
ejpam-3065	74	3	)	)	PUNCT
ejpam-3065	74	4	gives	give	VERB
ejpam-3065	74	5	the	the	DET
ejpam-3065	74	6	residuals	residual	NOUN
ejpam-3065	74	7	:	:	PUNCT
ejpam-3065	74	8	r1(s	r1(s	NOUN
ejpam-3065	74	9	,	,	PUNCT
ejpam-3065	74	10	t	t	PROPN
ejpam-3065	74	11	)	)	PUNCT
ejpam-3065	74	12	=	=	PUNCT
ejpam-3065	75	1	−3ei(2s+t	−3ei(2s+t	PROPN
ejpam-3065	75	2	)	)	PUNCT
ejpam-3065	75	3	,	,	PUNCT
ejpam-3065	75	4	r2(s	r2(s	PROPN
ejpam-3065	75	5	,	,	PUNCT
ejpam-3065	75	6	t	t	PROPN
ejpam-3065	75	7	)	)	PUNCT
ejpam-3065	75	8	=	=	PUNCT
ejpam-3065	76	1	−(2	−(2	PROPN
ejpam-3065	76	2	+	+	PUNCT
ejpam-3065	76	3	ω)ei(2s+ωt	ω)ei(2s+ωt	PROPN
ejpam-3065	76	4	)	)	PUNCT
ejpam-3065	76	5	(	(	PUNCT
ejpam-3065	76	6	17	17	NUM
ejpam-3065	76	7	)	)	PUNCT
ejpam-3065	76	8	according	accord	VERB
ejpam-3065	76	9	to	to	ADP
ejpam-3065	76	10	he	he	PRON
ejpam-3065	76	11	’s	’s	PART
ejpam-3065	76	12	frequency	frequency	NOUN
ejpam-3065	76	13	formulation	formulation	NOUN
ejpam-3065	76	14	,	,	PUNCT
ejpam-3065	76	15	we	we	PRON
ejpam-3065	76	16	have	have	VERB
ejpam-3065	76	17	ω2	ω2	ADJ
ejpam-3065	76	18	=	=	SYM
ejpam-3065	76	19	r2(s	r2(s	PROPN
ejpam-3065	76	20	,	,	PUNCT
ejpam-3065	76	21	0)−	0)−	NUM
ejpam-3065	76	22	ω2r1(s	ω2r1(s	ADP
ejpam-3065	76	23	,	,	PUNCT
ejpam-3065	76	24	0	0	NUM
ejpam-3065	76	25	)	)	PUNCT
ejpam-3065	76	26	r2(s	r2(s	PROPN
ejpam-3065	76	27	,	,	PUNCT
ejpam-3065	76	28	0)−r1(s	0)−r1(s	NOUN
ejpam-3065	76	29	,	,	PUNCT
ejpam-3065	76	30	0	0	NUM
ejpam-3065	76	31	)	)	PUNCT
ejpam-3065	76	32	=	=	SYM
ejpam-3065	77	1	3ω2e2is	3ω2e2is	NUM
ejpam-3065	77	2	−	−	NUM
ejpam-3065	77	3	ωe2is	ωe2is	NUM
ejpam-3065	78	1	−	−	PROPN
ejpam-3065	78	2	2e2is	2e2is	NUM
ejpam-3065	78	3	e2is	e2is	PUNCT
ejpam-3065	79	1	−	−	ADP
ejpam-3065	79	2	ωe2is	ωe2is	NUM
ejpam-3065	79	3	.	.	PUNCT
ejpam-3065	80	1	(	(	PUNCT
ejpam-3065	80	2	18	18	NUM
ejpam-3065	80	3	)	)	PUNCT
ejpam-3065	80	4	simplifying	simplifying	NOUN
ejpam-3065	80	5	,	,	PUNCT
ejpam-3065	80	6	we	we	PRON
ejpam-3065	80	7	obtain	obtain	VERB
ejpam-3065	80	8	ω	ω	NOUN
ejpam-3065	80	9	=	=	SYM
ejpam-3065	80	10	−2	−2	NOUN
ejpam-3065	80	11	.	.	PUNCT
ejpam-3065	81	1	the	the	DET
ejpam-3065	81	2	solution	solution	NOUN
ejpam-3065	81	3	is	be	AUX
ejpam-3065	81	4	obtained	obtain	VERB
ejpam-3065	81	5	as	as	SCONJ
ejpam-3065	81	6	follows	follow	VERB
ejpam-3065	81	7	w(s	w(s	PROPN
ejpam-3065	81	8	,	,	PUNCT
ejpam-3065	81	9	t	t	PROPN
ejpam-3065	81	10	)	)	PUNCT
ejpam-3065	81	11	=	=	PUNCT
ejpam-3065	81	12	e2i(s−t	e2i(s−t	ADJ
ejpam-3065	81	13	)	)	PUNCT
ejpam-3065	81	14	.	.	PUNCT
ejpam-3065	82	1	(	(	PUNCT
ejpam-3065	82	2	19	19	NUM
ejpam-3065	82	3	)	)	PUNCT
ejpam-3065	82	4	showing	show	VERB
ejpam-3065	82	5	that	that	SCONJ
ejpam-3065	82	6	(	(	PUNCT
ejpam-3065	82	7	19	19	NUM
ejpam-3065	82	8	)	)	PUNCT
ejpam-3065	82	9	satisfies	satisfie	NOUN
ejpam-3065	82	10	(	(	PUNCT
ejpam-3065	82	11	13	13	NUM
ejpam-3065	82	12	)	)	PUNCT
ejpam-3065	82	13	is	be	AUX
ejpam-3065	82	14	obvious	obvious	ADJ
ejpam-3065	82	15	and	and	CCONJ
ejpam-3065	82	16	straightforward	straightforward	ADJ
ejpam-3065	82	17	.	.	PUNCT
ejpam-3065	83	1	example	example	NOUN
ejpam-3065	83	2	2	2	NUM
ejpam-3065	83	3	.	.	PUNCT
ejpam-3065	83	4	suppose	suppose	VERB
ejpam-3065	83	5	β	β	X
ejpam-3065	83	6	=	=	SYM
ejpam-3065	83	7	3	3	NUM
ejpam-3065	83	8	and	and	CCONJ
ejpam-3065	83	9	σ	σ	NUM
ejpam-3065	83	10	=	=	SYM
ejpam-3065	83	11	1	1	X
ejpam-3065	83	12	.	.	PUNCT
ejpam-3065	84	1	then	then	ADV
ejpam-3065	84	2	the	the	DET
ejpam-3065	84	3	corresponding	corresponding	ADJ
ejpam-3065	84	4	ivancevic	ivancevic	ADJ
ejpam-3065	84	5	option	option	NOUN
ejpam-3065	84	6	pricing	pricing	NOUN
ejpam-3065	84	7	model	model	NOUN
ejpam-3065	84	8	given	give	VERB
ejpam-3065	84	9	by	by	ADP
ejpam-3065	84	10	eq	eq	ADJ
ejpam-3065	84	11	(	(	PUNCT
ejpam-3065	84	12	4	4	NUM
ejpam-3065	84	13	)	)	PUNCT
ejpam-3065	84	14	is	be	AUX
ejpam-3065	84	15	:	:	PUNCT
ejpam-3065	84	16	{	{	PUNCT
ejpam-3065	84	17	∂w	∂w	PROPN
ejpam-3065	84	18	∂t	∂t	PROPN
ejpam-3065	84	19	=	=	PUNCT
ejpam-3065	84	20	i	i	PROPN
ejpam-3065	84	21	(	(	PUNCT
ejpam-3065	84	22	∂2w	∂2w	VERB
ejpam-3065	84	23	∂s2	∂s2	PROPN
ejpam-3065	84	24	+	+	CCONJ
ejpam-3065	84	25	6|w|2w	6|w|2w	NUM
ejpam-3065	84	26	)	)	PUNCT
ejpam-3065	84	27	,	,	PUNCT
ejpam-3065	84	28	w(s	w(s	PROPN
ejpam-3065	84	29	,	,	PUNCT
ejpam-3065	84	30	0	0	NUM
ejpam-3065	84	31	)	)	PUNCT
ejpam-3065	84	32	=	=	NOUN
ejpam-3065	84	33	e2is	e2is	PUNCT
ejpam-3065	84	34	.	.	PUNCT
ejpam-3065	85	1	(	(	PUNCT
ejpam-3065	85	2	20	20	NUM
ejpam-3065	85	3	)	)	PUNCT
ejpam-3065	85	4	references	reference	NOUN
ejpam-3065	85	5	635	635	NUM
ejpam-3065	85	6	we	we	PRON
ejpam-3065	85	7	use	use	VERB
ejpam-3065	85	8	the	the	DET
ejpam-3065	85	9	trial	trial	NOUN
ejpam-3065	85	10	functions	function	NOUN
ejpam-3065	85	11	w1(s	w1(s	PROPN
ejpam-3065	85	12	,	,	PUNCT
ejpam-3065	85	13	t	t	PROPN
ejpam-3065	85	14	)	)	PUNCT
ejpam-3065	85	15	=	=	SYM
ejpam-3065	85	16	ei(2s+t	ei(2s+t	PROPN
ejpam-3065	85	17	)	)	PUNCT
ejpam-3065	85	18	,	,	PUNCT
ejpam-3065	85	19	w2(s	w2(s	PROPN
ejpam-3065	85	20	,	,	PUNCT
ejpam-3065	85	21	t	t	PROPN
ejpam-3065	85	22	)	)	PUNCT
ejpam-3065	85	23	=	=	SYM
ejpam-3065	85	24	ei(2s+ωt	ei(2s+ωt	PROPN
ejpam-3065	85	25	)	)	PUNCT
ejpam-3065	85	26	.	.	PUNCT
ejpam-3065	86	1	(	(	PUNCT
ejpam-3065	86	2	21	21	NUM
ejpam-3065	86	3	)	)	PUNCT
ejpam-3065	86	4	now	now	ADV
ejpam-3065	86	5	,	,	PUNCT
ejpam-3065	86	6	by	by	ADP
ejpam-3065	86	7	calculating	calculate	VERB
ejpam-3065	86	8	,	,	PUNCT
ejpam-3065	86	9	we	we	PRON
ejpam-3065	86	10	obtain	obtain	VERB
ejpam-3065	86	11	w1,t	w1,t	PROPN
ejpam-3065	86	12	=	=	PUNCT
ejpam-3065	86	13	iei(2s+t	iei(2s+t	PROPN
ejpam-3065	86	14	)	)	PUNCT
ejpam-3065	86	15	,	,	PUNCT
ejpam-3065	86	16	w1,s	w1,s	PROPN
ejpam-3065	86	17	=	=	SYM
ejpam-3065	86	18	2iei(2s+t	2iei(2s+t	NUM
ejpam-3065	86	19	)	)	PUNCT
ejpam-3065	86	20	,	,	PUNCT
ejpam-3065	86	21	w1,ss	w1,ss	PROPN
ejpam-3065	86	22	=	=	SYM
ejpam-3065	86	23	−4ei(2s+t	−4ei(2s+t	PROPN
ejpam-3065	86	24	)	)	PUNCT
ejpam-3065	86	25	(	(	PUNCT
ejpam-3065	86	26	22	22	NUM
ejpam-3065	86	27	)	)	PUNCT
ejpam-3065	86	28	w2,t	w2,t	PROPN
ejpam-3065	86	29	=	=	PUNCT
ejpam-3065	86	30	iωei(2s+ωt	iωei(2s+ωt	NOUN
ejpam-3065	86	31	)	)	PUNCT
ejpam-3065	86	32	,	,	PUNCT
ejpam-3065	86	33	w2,s	w2,s	PROPN
ejpam-3065	86	34	=	=	SYM
ejpam-3065	86	35	2iei(2s+ωt	2iei(2s+ωt	NUM
ejpam-3065	86	36	)	)	PUNCT
ejpam-3065	86	37	,	,	PUNCT
ejpam-3065	86	38	w2,ss	w2,ss	X
ejpam-3065	86	39	=	=	PUNCT
ejpam-3065	86	40	−4ei(2s+ωt	−4ei(2s+ωt	PROPN
ejpam-3065	86	41	)	)	PUNCT
ejpam-3065	86	42	.	.	PUNCT
ejpam-3065	87	1	(	(	PUNCT
ejpam-3065	87	2	23	23	X
ejpam-3065	87	3	)	)	PUNCT
ejpam-3065	87	4	substituting	substitute	VERB
ejpam-3065	87	5	the	the	DET
ejpam-3065	87	6	two	two	NUM
ejpam-3065	87	7	trial	trial	NOUN
ejpam-3065	87	8	functions	function	NOUN
ejpam-3065	87	9	and	and	CCONJ
ejpam-3065	87	10	their	their	PRON
ejpam-3065	87	11	derivatives	derivative	NOUN
ejpam-3065	87	12	into	into	ADP
ejpam-3065	87	13	eq	eq	NOUN
ejpam-3065	87	14	.	.	PUNCT
ejpam-3065	88	1	(	(	PUNCT
ejpam-3065	88	2	20	20	NUM
ejpam-3065	88	3	)	)	PUNCT
ejpam-3065	88	4	gives	give	VERB
ejpam-3065	88	5	the	the	DET
ejpam-3065	88	6	residuals	residual	NOUN
ejpam-3065	88	7	:	:	PUNCT
ejpam-3065	88	8	r1(s	r1(s	NOUN
ejpam-3065	88	9	,	,	PUNCT
ejpam-3065	88	10	t	t	PROPN
ejpam-3065	88	11	)	)	PUNCT
ejpam-3065	88	12	=	=	PUNCT
ejpam-3065	89	1	−3ei(2s+t	−3ei(2s+t	PROPN
ejpam-3065	89	2	)	)	PUNCT
ejpam-3065	89	3	,	,	PUNCT
ejpam-3065	89	4	r2(s	r2(s	PROPN
ejpam-3065	89	5	,	,	PUNCT
ejpam-3065	89	6	t	t	PROPN
ejpam-3065	89	7	)	)	PUNCT
ejpam-3065	89	8	=	=	PUNCT
ejpam-3065	90	1	−(2	−(2	PROPN
ejpam-3065	90	2	+	+	PUNCT
ejpam-3065	90	3	ω)ei(2s+ωt	ω)ei(2s+ωt	PROPN
ejpam-3065	90	4	)	)	PUNCT
ejpam-3065	90	5	(	(	PUNCT
ejpam-3065	90	6	24	24	NUM
ejpam-3065	90	7	)	)	PUNCT
ejpam-3065	90	8	according	accord	VERB
ejpam-3065	90	9	to	to	ADP
ejpam-3065	90	10	he	he	PRON
ejpam-3065	90	11	’s	’s	PART
ejpam-3065	90	12	frequency	frequency	NOUN
ejpam-3065	90	13	formulation	formulation	NOUN
ejpam-3065	90	14	,	,	PUNCT
ejpam-3065	90	15	we	we	PRON
ejpam-3065	90	16	have	have	VERB
ejpam-3065	90	17	ω2	ω2	ADJ
ejpam-3065	90	18	=	=	SYM
ejpam-3065	90	19	r2(s	r2(s	PROPN
ejpam-3065	90	20	,	,	PUNCT
ejpam-3065	90	21	0)−	0)−	NUM
ejpam-3065	90	22	ω2r1(s	ω2r1(s	ADP
ejpam-3065	90	23	,	,	PUNCT
ejpam-3065	90	24	0	0	NUM
ejpam-3065	90	25	)	)	PUNCT
ejpam-3065	90	26	r2(s	r2(s	PROPN
ejpam-3065	90	27	,	,	PUNCT
ejpam-3065	90	28	0)−r1(s	0)−r1(s	NOUN
ejpam-3065	90	29	,	,	PUNCT
ejpam-3065	90	30	0	0	NUM
ejpam-3065	90	31	)	)	PUNCT
ejpam-3065	90	32	=	=	NOUN
ejpam-3065	91	1	(	(	PUNCT
ejpam-3065	91	2	2−	2−	NUM
ejpam-3065	91	3	ω)e2is	ω)e2is	NOUN
ejpam-3065	91	4	−	−	NOUN
ejpam-3065	91	5	ω2e2is	ω2e2is	PUNCT
ejpam-3065	91	6	(	(	PUNCT
ejpam-3065	91	7	2−	2−	NUM
ejpam-3065	91	8	ω)e2is	ω)e2is	NOUN
ejpam-3065	91	9	−	−	NOUN
ejpam-3065	91	10	e2is	e2is	PUNCT
ejpam-3065	91	11	.	.	PUNCT
ejpam-3065	92	1	(	(	PUNCT
ejpam-3065	92	2	25	25	NUM
ejpam-3065	92	3	)	)	PUNCT
ejpam-3065	92	4	simplifying	simplifying	NOUN
ejpam-3065	92	5	,	,	PUNCT
ejpam-3065	92	6	we	we	PRON
ejpam-3065	92	7	obtain	obtain	VERB
ejpam-3065	92	8	ω	ω	NOUN
ejpam-3065	92	9	=	=	SYM
ejpam-3065	92	10	2	2	NUM
ejpam-3065	92	11	.	.	PUNCT
ejpam-3065	93	1	the	the	DET
ejpam-3065	93	2	solution	solution	NOUN
ejpam-3065	93	3	is	be	AUX
ejpam-3065	93	4	obtained	obtain	VERB
ejpam-3065	93	5	as	as	SCONJ
ejpam-3065	93	6	follows	follow	VERB
ejpam-3065	93	7	w(s	w(s	PROPN
ejpam-3065	93	8	,	,	PUNCT
ejpam-3065	93	9	t	t	PROPN
ejpam-3065	93	10	)	)	PUNCT
ejpam-3065	93	11	=	=	SYM
ejpam-3065	93	12	e2i(s+t	e2i(s+t	PROPN
ejpam-3065	93	13	)	)	PUNCT
ejpam-3065	93	14	.	.	PUNCT
ejpam-3065	94	1	(	(	PUNCT
ejpam-3065	94	2	26	26	NUM
ejpam-3065	94	3	)	)	PUNCT
ejpam-3065	94	4	it	it	PRON
ejpam-3065	94	5	is	be	AUX
ejpam-3065	94	6	straightforward	straightforward	ADJ
ejpam-3065	94	7	to	to	PART
ejpam-3065	94	8	verify	verify	VERB
ejpam-3065	94	9	that	that	PRON
ejpam-3065	94	10	w(s	w(s	PROPN
ejpam-3065	94	11	,	,	PUNCT
ejpam-3065	94	12	t	t	PROPN
ejpam-3065	94	13	)	)	PUNCT
ejpam-3065	94	14	=	=	SYM
ejpam-3065	94	15	e2i(s+t	e2i(s+t	PROPN
ejpam-3065	94	16	)	)	PUNCT
ejpam-3065	94	17	satisfies	satisfy	VERB
ejpam-3065	94	18	the	the	DET
ejpam-3065	94	19	problem	problem	NOUN
ejpam-3065	94	20	given	give	VERB
ejpam-3065	94	21	by	by	ADP
ejpam-3065	94	22	eq	eq	PROPN
ejpam-3065	94	23	.	.	PUNCT
ejpam-3065	95	1	(	(	PUNCT
ejpam-3065	95	2	20	20	NUM
ejpam-3065	95	3	)	)	PUNCT
ejpam-3065	95	4	.	.	PUNCT
ejpam-3065	96	1	4	4	X
ejpam-3065	96	2	.	.	X
ejpam-3065	96	3	concluding	conclude	VERB
ejpam-3065	96	4	remarks	remark	NOUN
ejpam-3065	96	5	in	in	ADP
ejpam-3065	96	6	this	this	DET
ejpam-3065	96	7	work	work	NOUN
ejpam-3065	96	8	,	,	PUNCT
ejpam-3065	96	9	the	the	DET
ejpam-3065	96	10	ivancevic	ivancevic	ADJ
ejpam-3065	96	11	option	option	NOUN
ejpam-3065	96	12	pricing	pricing	NOUN
ejpam-3065	96	13	model	model	NOUN
ejpam-3065	96	14	(	(	PUNCT
ejpam-3065	96	15	iopm	iopm	PROPN
ejpam-3065	96	16	)	)	PUNCT
ejpam-3065	96	17	is	be	AUX
ejpam-3065	96	18	considered	consider	VERB
ejpam-3065	96	19	.	.	PUNCT
ejpam-3065	97	1	this	this	DET
ejpam-3065	97	2	nonlinear	nonlinear	ADJ
ejpam-3065	97	3	adaptive	adaptive	ADJ
ejpam-3065	97	4	-	-	PUNCT
ejpam-3065	97	5	wave	wave	NOUN
ejpam-3065	97	6	model	model	NOUN
ejpam-3065	97	7	serves	serve	VERB
ejpam-3065	97	8	as	as	ADP
ejpam-3065	97	9	alternative	alternative	NOUN
ejpam-3065	97	10	for	for	ADP
ejpam-3065	97	11	the	the	DET
ejpam-3065	97	12	classical	classical	ADJ
ejpam-3065	97	13	black	black	ADJ
ejpam-3065	97	14	-	-	PUNCT
ejpam-3065	97	15	scholes	schole	NOUN
ejpam-3065	97	16	option	option	NOUN
ejpam-3065	97	17	pricing	pricing	NOUN
ejpam-3065	97	18	model	model	NOUN
ejpam-3065	97	19	based	base	VERB
ejpam-3065	97	20	on	on	ADP
ejpam-3065	97	21	a	a	DET
ejpam-3065	97	22	controlled	control	VERB
ejpam-3065	97	23	brownian	brownian	ADJ
ejpam-3065	97	24	motion	motion	NOUN
ejpam-3065	97	25	in	in	ADP
ejpam-3065	97	26	an	an	DET
ejpam-3065	97	27	adaptive	adaptive	ADJ
ejpam-3065	97	28	setting	setting	NOUN
ejpam-3065	97	29	relating	relate	VERB
ejpam-3065	97	30	to	to	ADP
ejpam-3065	97	31	nonlinear	nonlinear	ADJ
ejpam-3065	97	32	schrödinger	schrödinger	NOUN
ejpam-3065	97	33	equation	equation	NOUN
ejpam-3065	97	34	.	.	PUNCT
ejpam-3065	98	1	by	by	ADP
ejpam-3065	98	2	considering	consider	VERB
ejpam-3065	98	3	cases	case	NOUN
ejpam-3065	98	4	of	of	ADP
ejpam-3065	98	5	nonzero	nonzero	ADJ
ejpam-3065	98	6	adaptive	adaptive	ADJ
ejpam-3065	98	7	market	market	NOUN
ejpam-3065	98	8	potential	potential	NOUN
ejpam-3065	98	9	,	,	PUNCT
ejpam-3065	98	10	exact	exact	ADJ
ejpam-3065	98	11	solutions	solution	NOUN
ejpam-3065	98	12	of	of	ADP
ejpam-3065	98	13	the	the	DET
ejpam-3065	98	14	iopm	iopm	NOUN
ejpam-3065	98	15	by	by	ADP
ejpam-3065	98	16	means	mean	NOUN
ejpam-3065	98	17	of	of	ADP
ejpam-3065	98	18	a	a	DET
ejpam-3065	98	19	proposed	propose	VERB
ejpam-3065	98	20	he	he	PRON
ejpam-3065	98	21	’s	’s	PART
ejpam-3065	98	22	frequency	frequency	NOUN
ejpam-3065	98	23	amplitude	amplitude	NOUN
ejpam-3065	98	24	formulation	formulation	NOUN
ejpam-3065	98	25	method	method	NOUN
ejpam-3065	98	26	(	(	PUNCT
ejpam-3065	98	27	hfafm	hfafm	X
ejpam-3065	98	28	)	)	PUNCT
ejpam-3065	98	29	were	be	AUX
ejpam-3065	98	30	obtained	obtain	VERB
ejpam-3065	98	31	.	.	PUNCT
ejpam-3065	99	1	the	the	DET
ejpam-3065	99	2	results	result	NOUN
ejpam-3065	99	3	revealed	reveal	VERB
ejpam-3065	99	4	that	that	SCONJ
ejpam-3065	99	5	the	the	DET
ejpam-3065	99	6	proposed	propose	VERB
ejpam-3065	99	7	hfafm	hfafm	NOUN
ejpam-3065	99	8	is	be	AUX
ejpam-3065	99	9	simple	simple	ADJ
ejpam-3065	99	10	,	,	PUNCT
ejpam-3065	99	11	direct	direct	ADJ
ejpam-3065	99	12	,	,	PUNCT
ejpam-3065	99	13	and	and	CCONJ
ejpam-3065	99	14	effective	effective	ADJ
ejpam-3065	99	15	as	as	SCONJ
ejpam-3065	99	16	the	the	DET
ejpam-3065	99	17	obtained	obtain	VERB
ejpam-3065	99	18	solutions	solution	NOUN
ejpam-3065	99	19	coincide	coincide	NOUN
ejpam-3065	99	20	exactly	exactly	ADV
ejpam-3065	99	21	with	with	ADP
ejpam-3065	99	22	the	the	DET
ejpam-3065	99	23	exact	exact	ADJ
ejpam-3065	99	24	solutions	solution	NOUN
ejpam-3065	99	25	without	without	ADP
ejpam-3065	99	26	any	any	DET
ejpam-3065	99	27	form	form	NOUN
ejpam-3065	99	28	of	of	ADP
ejpam-3065	99	29	linearization	linearization	NOUN
ejpam-3065	99	30	,	,	PUNCT
ejpam-3065	99	31	perturbation	perturbation	NOUN
ejpam-3065	99	32	,	,	PUNCT
ejpam-3065	99	33	or	or	CCONJ
ejpam-3065	99	34	discretization	discretization	NOUN
ejpam-3065	99	35	.	.	PUNCT
ejpam-3065	100	1	references	reference	NOUN
ejpam-3065	100	2	[	[	X
ejpam-3065	100	3	1	1	NUM
ejpam-3065	100	4	]	]	SYM
ejpam-3065	100	5	b	b	PROPN
ejpam-3065	100	6	e	e	NOUN
ejpam-3065	100	7	baaquie	baaquie	NOUN
ejpam-3065	100	8	.	.	PUNCT
ejpam-3065	101	1	quantum	quantum	PROPN
ejpam-3065	101	2	finance	finance	NOUN
ejpam-3065	101	3	:	:	PUNCT
ejpam-3065	101	4	path	path	NOUN
ejpam-3065	101	5	integrals	integral	NOUN
ejpam-3065	101	6	and	and	CCONJ
ejpam-3065	101	7	hamiltonians	hamiltonian	NOUN
ejpam-3065	101	8	for	for	ADP
ejpam-3065	101	9	options	option	NOUN
ejpam-3065	101	10	and	and	CCONJ
ejpam-3065	101	11	interest	interest	NOUN
ejpam-3065	101	12	rates	rate	NOUN
ejpam-3065	101	13	.	.	PUNCT
ejpam-3065	102	1	cambridge	cambridge	PROPN
ejpam-3065	102	2	university	university	PROPN
ejpam-3065	102	3	press	press	PROPN
ejpam-3065	102	4	,	,	PUNCT
ejpam-3065	102	5	cambridge	cambridge	PROPN
ejpam-3065	102	6	,	,	PUNCT
ejpam-3065	102	7	2004	2004	NUM
ejpam-3065	102	8	.	.	PUNCT
ejpam-3065	103	1	[	[	X
ejpam-3065	103	2	2	2	X
ejpam-3065	103	3	]	]	SYM
ejpam-3065	103	4	g	g	NOUN
ejpam-3065	103	5	barles	barle	NOUN
ejpam-3065	103	6	and	and	CCONJ
ejpam-3065	103	7	h	h	NOUN
ejpam-3065	103	8	m	m	NOUN
ejpam-3065	103	9	soner	soner	NOUN
ejpam-3065	103	10	.	.	PUNCT
ejpam-3065	104	1	option	option	NOUN
ejpam-3065	104	2	pricing	pricing	NOUN
ejpam-3065	104	3	with	with	ADP
ejpam-3065	104	4	transaction	transaction	NOUN
ejpam-3065	104	5	costs	cost	NOUN
ejpam-3065	104	6	and	and	CCONJ
ejpam-3065	104	7	a	a	DET
ejpam-3065	104	8	nonlinear	nonlinear	ADJ
ejpam-3065	104	9	black	black	ADJ
ejpam-3065	104	10	-	-	PUNCT
ejpam-3065	104	11	scholes	schole	NOUN
ejpam-3065	104	12	equation	equation	NOUN
ejpam-3065	104	13	.	.	PUNCT
ejpam-3065	105	1	financ	financ	PROPN
ejpam-3065	105	2	.	.	PUNCT
ejpam-3065	105	3	stoch	stoch	PROPN
ejpam-3065	105	4	,	,	PUNCT
ejpam-3065	105	5	2	2	NUM
ejpam-3065	105	6	:	:	SYM
ejpam-3065	105	7	369	369	NUM
ejpam-3065	105	8	-	-	SYM
ejpam-3065	105	9	397	397	NUM
ejpam-3065	105	10	,	,	PUNCT
ejpam-3065	105	11	1998	1998	NUM
ejpam-3065	105	12	.	.	PUNCT
ejpam-3065	106	1	[	[	X
ejpam-3065	106	2	3	3	X
ejpam-3065	106	3	]	]	X
ejpam-3065	106	4	j	j	PROPN
ejpam-3065	106	5	biazar	biazar	PROPN
ejpam-3065	106	6	and	and	CCONJ
ejpam-3065	106	7	h	h	PROPN
ejpam-3065	106	8	ghazvin	ghazvin	NOUN
ejpam-3065	106	9	.	.	PUNCT
ejpam-3065	107	1	exact	exact	ADJ
ejpam-3065	107	2	solutions	solution	NOUN
ejpam-3065	107	3	for	for	ADP
ejpam-3065	107	4	non	non	ADJ
ejpam-3065	107	5	-	-	ADJ
ejpam-3065	107	6	linear	linear	ADJ
ejpam-3065	107	7	schrödinger	schrödinger	NOUN
ejpam-3065	107	8	equations	equation	NOUN
ejpam-3065	107	9	by	by	ADP
ejpam-3065	107	10	he	he	PRON
ejpam-3065	107	11	’s	’s	NOUN
ejpam-3065	107	12	homotopy	homotopy	PROPN
ejpam-3065	107	13	perturbation	perturbation	NOUN
ejpam-3065	107	14	method	method	NOUN
ejpam-3065	107	15	.	.	PUNCT
ejpam-3065	108	1	phys	phy	NOUN
ejpam-3065	108	2	.	.	PUNCT
ejpam-3065	109	1	letters	letter	NOUN
ejpam-3065	109	2	a	a	PRON
ejpam-3065	109	3	,	,	PUNCT
ejpam-3065	109	4	366	366	NUM
ejpam-3065	109	5	:	:	PUNCT
ejpam-3065	109	6	79	79	NUM
ejpam-3065	109	7	-	-	SYM
ejpam-3065	109	8	84	84	NUM
ejpam-3065	109	9	,	,	PUNCT
ejpam-3065	109	10	2007	2007	NUM
ejpam-3065	109	11	.	.	PUNCT
ejpam-3065	110	1	references	reference	NOUN
ejpam-3065	110	2	636	636	NUM
ejpam-3065	110	3	[	[	X
ejpam-3065	110	4	4	4	NUM
ejpam-3065	110	5	]	]	X
ejpam-3065	110	6	f	f	PROPN
ejpam-3065	110	7	black	black	ADJ
ejpam-3065	110	8	and	and	CCONJ
ejpam-3065	110	9	m	m	PROPN
ejpam-3065	110	10	scholes	schole	NOUN
ejpam-3065	110	11	.	.	PUNCT
ejpam-3065	111	1	the	the	DET
ejpam-3065	111	2	pricing	pricing	NOUN
ejpam-3065	111	3	options	option	NOUN
ejpam-3065	111	4	and	and	CCONJ
ejpam-3065	111	5	corporate	corporate	ADJ
ejpam-3065	111	6	liabilities	liability	NOUN
ejpam-3065	111	7	.	.	PUNCT
ejpam-3065	112	1	j.	j.	PROPN
ejpam-3065	112	2	political	political	PROPN
ejpam-3065	112	3	econ	econ	PROPN
ejpam-3065	112	4	.	.	PUNCT
ejpam-3065	112	5	,	,	PUNCT
ejpam-3065	112	6	81	81	NUM
ejpam-3065	112	7	:	:	PUNCT
ejpam-3065	112	8	637	637	NUM
ejpam-3065	112	9	-	-	SYM
ejpam-3065	112	10	654	654	NUM
ejpam-3065	112	11	,	,	PUNCT
ejpam-3065	112	12	1973	1973	NUM
ejpam-3065	112	13	.	.	PUNCT
ejpam-3065	113	1	[	[	X
ejpam-3065	113	2	5	5	NUM
ejpam-3065	113	3	]	]	SYM
ejpam-3065	113	4	r	r	NOUN
ejpam-3065	113	5	company	company	NOUN
ejpam-3065	113	6	,	,	PUNCT
ejpam-3065	113	7	e	e	PROPN
ejpam-3065	113	8	navarro	navarro	PROPN
ejpam-3065	113	9	,	,	PUNCT
ejpam-3065	113	10	j	j	PROPN
ejpam-3065	113	11	r	r	NOUN
ejpam-3065	113	12	pintos	pintos	NOUN
ejpam-3065	113	13	and	and	CCONJ
ejpam-3065	113	14	e.	e.	PROPN
ejpam-3065	113	15	ponsoda	ponsoda	PROPN
ejpam-3065	113	16	.	.	PUNCT
ejpam-3065	114	1	numerical	numerical	ADJ
ejpam-3065	114	2	solution	solution	NOUN
ejpam-3065	114	3	of	of	ADP
ejpam-3065	114	4	linear	linear	PROPN
ejpam-3065	114	5	and	and	CCONJ
ejpam-3065	114	6	nonlinear	nonlinear	ADJ
ejpam-3065	114	7	black	black	ADJ
ejpam-3065	114	8	-	-	PUNCT
ejpam-3065	114	9	scholes	schole	NOUN
ejpam-3065	114	10	option	option	NOUN
ejpam-3065	114	11	pricing	pricing	NOUN
ejpam-3065	114	12	equations	equation	NOUN
ejpam-3065	114	13	.	.	PUNCT
ejpam-3065	115	1	comput	comput	NOUN
ejpam-3065	115	2	.	.	PUNCT
ejpam-3065	116	1	math	math	NOUN
ejpam-3065	116	2	.	.	PUNCT
ejpam-3065	117	1	appl	appl	PROPN
ejpam-3065	117	2	.	.	PROPN
ejpam-3065	117	3	,	,	PUNCT
ejpam-3065	117	4	56	56	NUM
ejpam-3065	117	5	:	:	PUNCT
ejpam-3065	117	6	813	813	NUM
ejpam-3065	117	7	-	-	SYM
ejpam-3065	117	8	821	821	NUM
ejpam-3065	117	9	,	,	PUNCT
ejpam-3065	117	10	2008	2008	NUM
ejpam-3065	117	11	.	.	PUNCT
ejpam-3065	118	1	[	[	X
ejpam-3065	118	2	6	6	NUM
ejpam-3065	118	3	]	]	SYM
ejpam-3065	118	4	r	r	NOUN
ejpam-3065	118	5	cont	cont	NOUN
ejpam-3065	118	6	.	.	PUNCT
ejpam-3065	119	1	empirical	empirical	ADJ
ejpam-3065	119	2	properties	property	NOUN
ejpam-3065	119	3	of	of	ADP
ejpam-3065	119	4	asset	asset	NOUN
ejpam-3065	119	5	returns	return	NOUN
ejpam-3065	119	6	:	:	PUNCT
ejpam-3065	119	7	stylized	stylize	VERB
ejpam-3065	119	8	facts	fact	NOUN
ejpam-3065	119	9	and	and	CCONJ
ejpam-3065	119	10	statistical	statistical	ADJ
ejpam-3065	119	11	issues	issue	NOUN
ejpam-3065	119	12	.	.	PUNCT
ejpam-3065	120	1	quant	quant	NOUN
ejpam-3065	120	2	.	.	PUNCT
ejpam-3065	121	1	finance	finance	NOUN
ejpam-3065	121	2	,	,	PUNCT
ejpam-3065	121	3	1	1	NUM
ejpam-3065	121	4	:	:	SYM
ejpam-3065	121	5	223	223	NUM
ejpam-3065	121	6	-	-	SYM
ejpam-3065	121	7	236	236	NUM
ejpam-3065	121	8	,	,	PUNCT
ejpam-3065	121	9	2001	2001	NUM
ejpam-3065	121	10	.	.	PUNCT
ejpam-3065	122	1	[	[	X
ejpam-3065	122	2	7	7	NUM
ejpam-3065	122	3	]	]	X
ejpam-3065	122	4	m	m	VERB
ejpam-3065	122	5	contreras	contrera	NOUN
ejpam-3065	122	6	,	,	PUNCT
ejpam-3065	122	7	r	r	NOUN
ejpam-3065	122	8	pellicer	pellicer	NOUN
ejpam-3065	122	9	,	,	PUNCT
ejpam-3065	122	10	m	m	PROPN
ejpam-3065	122	11	villena	villena	PROPN
ejpam-3065	122	12	and	and	CCONJ
ejpam-3065	122	13	a	a	DET
ejpam-3065	122	14	ruiz	ruiz	NOUN
ejpam-3065	122	15	.	.	PUNCT
ejpam-3065	123	1	a	a	DET
ejpam-3065	123	2	quantum	quantum	ADJ
ejpam-3065	123	3	model	model	NOUN
ejpam-3065	123	4	of	of	ADP
ejpam-3065	123	5	option	option	NOUN
ejpam-3065	123	6	pricing	pricing	NOUN
ejpam-3065	123	7	:	:	PUNCT
ejpam-3065	123	8	when	when	SCONJ
ejpam-3065	123	9	black	black	ADJ
ejpam-3065	123	10	-	-	PUNCT
ejpam-3065	123	11	scholes	schole	NOUN
ejpam-3065	123	12	meets	meet	VERB
ejpam-3065	123	13	schrödinger	schrödinger	NOUN
ejpam-3065	123	14	and	and	CCONJ
ejpam-3065	123	15	its	its	PRON
ejpam-3065	123	16	semi	semi	ADJ
ejpam-3065	123	17	-	-	ADJ
ejpam-3065	123	18	classical	classical	ADJ
ejpam-3065	123	19	limit	limit	NOUN
ejpam-3065	123	20	.	.	PUNCT
ejpam-3065	124	1	physica	physica	PROPN
ejpam-3065	124	2	a	a	PRON
ejpam-3065	124	3	,	,	PUNCT
ejpam-3065	124	4	389	389	NUM
ejpam-3065	124	5	:	:	PUNCT
ejpam-3065	124	6	5447	5447	NUM
ejpam-3065	124	7	-	-	SYM
ejpam-3065	124	8	5459	5459	NUM
ejpam-3065	124	9	,	,	PUNCT
ejpam-3065	124	10	2010	2010	NUM
ejpam-3065	124	11	.	.	PUNCT
ejpam-3065	125	1	[	[	X
ejpam-3065	125	2	8	8	NUM
ejpam-3065	125	3	]	]	SYM
ejpam-3065	125	4	s	s	NOUN
ejpam-3065	125	5	o	o	NOUN
ejpam-3065	125	6	edeki	edeki	NOUN
ejpam-3065	125	7	,	,	PUNCT
ejpam-3065	125	8	e	e	PROPN
ejpam-3065	125	9	a	a	DET
ejpam-3065	125	10	owoloko	owoloko	NOUN
ejpam-3065	125	11	and	and	CCONJ
ejpam-3065	125	12	o	o	NOUN
ejpam-3065	125	13	o	o	X
ejpam-3065	125	14	ugbebor	ugbebor	NOUN
ejpam-3065	125	15	.	.	PUNCT
ejpam-3065	126	1	the	the	DET
ejpam-3065	126	2	modified	modify	VERB
ejpam-3065	126	3	black	black	ADJ
ejpam-3065	126	4	-	-	PUNCT
ejpam-3065	126	5	scholes	schole	NOUN
ejpam-3065	126	6	model	model	NOUN
ejpam-3065	126	7	via	via	ADP
ejpam-3065	126	8	constant	constant	ADJ
ejpam-3065	126	9	elasticity	elasticity	NOUN
ejpam-3065	126	10	of	of	ADP
ejpam-3065	126	11	variance	variance	NOUN
ejpam-3065	126	12	for	for	ADP
ejpam-3065	126	13	stock	stock	NOUN
ejpam-3065	126	14	options	option	NOUN
ejpam-3065	126	15	valuation	valuation	NOUN
ejpam-3065	126	16	.	.	PUNCT
ejpam-3065	127	1	aip	aip	PROPN
ejpam-3065	127	2	conference	conference	NOUN
ejpam-3065	127	3	proceedings	proceeding	NOUN
ejpam-3065	127	4	,	,	PUNCT
ejpam-3065	127	5	1705	1705	NUM
ejpam-3065	127	6	:	:	SYM
ejpam-3065	127	7	020041	020041	NUM
ejpam-3065	127	8	,	,	PUNCT
ejpam-3065	127	9	2016	2016	NUM
ejpam-3065	127	10	.	.	PUNCT
ejpam-3065	128	1	[	[	X
ejpam-3065	128	2	9	9	NUM
ejpam-3065	128	3	]	]	SYM
ejpam-3065	128	4	s	s	NOUN
ejpam-3065	128	5	o	o	NOUN
ejpam-3065	128	6	edeki	edeki	NOUN
ejpam-3065	128	7	,	,	PUNCT
ejpam-3065	128	8	o	o	NOUN
ejpam-3065	128	9	o	o	X
ejpam-3065	128	10	ugbebor	ugbebor	NOUN
ejpam-3065	128	11	and	and	CCONJ
ejpam-3065	128	12	e	e	X
ejpam-3065	128	13	a	a	DET
ejpam-3065	128	14	owoloko	owoloko	PROPN
ejpam-3065	128	15	.	.	PUNCT
ejpam-3065	129	1	analytical	analytical	ADJ
ejpam-3065	129	2	solutions	solution	NOUN
ejpam-3065	129	3	of	of	ADP
ejpam-3065	129	4	the	the	DET
ejpam-3065	129	5	blackscholes	blackschole	NOUN
ejpam-3065	129	6	pricing	price	VERB
ejpam-3065	129	7	model	model	NOUN
ejpam-3065	129	8	for	for	ADP
ejpam-3065	129	9	european	european	ADJ
ejpam-3065	129	10	option	option	NOUN
ejpam-3065	129	11	valuation	valuation	NOUN
ejpam-3065	129	12	via	via	ADP
ejpam-3065	129	13	a	a	DET
ejpam-3065	129	14	projected	project	VERB
ejpam-3065	129	15	differential	differential	ADJ
ejpam-3065	129	16	transformation	transformation	NOUN
ejpam-3065	129	17	method	method	NOUN
ejpam-3065	129	18	.	.	PUNCT
ejpam-3065	130	1	entropy	entropy	PROPN
ejpam-3065	130	2	,	,	PUNCT
ejpam-3065	130	3	17	17	NUM
ejpam-3065	130	4	:	:	SYM
ejpam-3065	130	5	7510	7510	NUM
ejpam-3065	130	6	-	-	SYM
ejpam-3065	130	7	7521	7521	NUM
ejpam-3065	130	8	,	,	PUNCT
ejpam-3065	130	9	2015	2015	NUM
ejpam-3065	130	10	.	.	PUNCT
ejpam-3065	131	1	[	[	X
ejpam-3065	131	2	10	10	NUM
ejpam-3065	131	3	]	]	SYM
ejpam-3065	131	4	s	s	NOUN
ejpam-3065	131	5	o	o	NOUN
ejpam-3065	131	6	edeki	edeki	NOUN
ejpam-3065	131	7	,	,	PUNCT
ejpam-3065	131	8	o	o	NOUN
ejpam-3065	131	9	o	o	X
ejpam-3065	131	10	ugbebor	ugbebor	NOUN
ejpam-3065	131	11	and	and	CCONJ
ejpam-3065	131	12	e	e	X
ejpam-3065	131	13	a	a	DET
ejpam-3065	131	14	owoloko	owoloko	NOUN
ejpam-3065	131	15	.	.	PUNCT
ejpam-3065	132	1	he	he	PRON
ejpam-3065	132	2	’s	’	VERB
ejpam-3065	132	3	polynomials	polynomial	NOUN
ejpam-3065	132	4	for	for	ADP
ejpam-3065	132	5	analytical	analytical	ADJ
ejpam-3065	132	6	solutions	solution	NOUN
ejpam-3065	132	7	of	of	ADP
ejpam-3065	132	8	the	the	DET
ejpam-3065	132	9	black	black	ADJ
ejpam-3065	132	10	-	-	PUNCT
ejpam-3065	132	11	scholes	schole	NOUN
ejpam-3065	132	12	pricing	pricing	NOUN
ejpam-3065	132	13	model	model	NOUN
ejpam-3065	132	14	for	for	ADP
ejpam-3065	132	15	stock	stock	NOUN
ejpam-3065	132	16	option	option	NOUN
ejpam-3065	132	17	valuation	valuation	NOUN
ejpam-3065	132	18	.	.	PUNCT
ejpam-3065	133	1	lecture	lecture	NOUN
ejpam-3065	133	2	notes	note	NOUN
ejpam-3065	133	3	in	in	ADP
ejpam-3065	133	4	engineering	engineering	NOUN
ejpam-3065	133	5	and	and	CCONJ
ejpam-3065	133	6	computer	computer	NOUN
ejpam-3065	133	7	science	science	NOUN
ejpam-3065	133	8	:	:	PUNCT
ejpam-3065	133	9	proceedings	proceeding	NOUN
ejpam-3065	133	10	of	of	ADP
ejpam-3065	133	11	the	the	DET
ejpam-3065	133	12	world	world	NOUN
ejpam-3065	133	13	congress	congress	PROPN
ejpam-3065	133	14	on	on	ADP
ejpam-3065	133	15	engineering	engineering	PROPN
ejpam-3065	133	16	,	,	PUNCT
ejpam-3065	133	17	wce	wce	X
ejpam-3065	133	18	2016	2016	NUM
ejpam-3065	133	19	,	,	PUNCT
ejpam-3065	133	20	london	london	PROPN
ejpam-3065	133	21	,	,	PUNCT
ejpam-3065	133	22	u.k	u.k	PROPN
ejpam-3065	133	23	.	.	PROPN
ejpam-3065	133	24	,	,	PUNCT
ejpam-3065	133	25	632	632	NUM
ejpam-3065	133	26	-	-	SYM
ejpam-3065	133	27	634	634	NUM
ejpam-3065	133	28	,	,	PUNCT
ejpam-3065	133	29	2016	2016	NUM
ejpam-3065	133	30	.	.	PUNCT
ejpam-3065	134	1	[	[	X
ejpam-3065	134	2	11	11	NUM
ejpam-3065	134	3	]	]	X
ejpam-3065	134	4	c	c	PROPN
ejpam-3065	134	5	w	w	PROPN
ejpam-3065	134	6	gardiner	gardiner	PROPN
ejpam-3065	134	7	.	.	PUNCT
ejpam-3065	135	1	handbook	handbook	NOUN
ejpam-3065	135	2	of	of	ADP
ejpam-3065	135	3	stochastic	stochastic	ADJ
ejpam-3065	135	4	methods	method	NOUN
ejpam-3065	135	5	.	.	PUNCT
ejpam-3065	136	1	springer	springer	NOUN
ejpam-3065	136	2	,	,	PUNCT
ejpam-3065	136	3	berlin	berlin	PROPN
ejpam-3065	136	4	,	,	PUNCT
ejpam-3065	136	5	1983	1983	NUM
ejpam-3065	136	6	.	.	PUNCT
ejpam-3065	137	1	[	[	X
ejpam-3065	137	2	12	12	NUM
ejpam-3065	137	3	]	]	X
ejpam-3065	137	4	o	o	X
ejpam-3065	137	5	gonzález	gonzález	PROPN
ejpam-3065	137	6	-	-	PUNCT
ejpam-3065	137	7	gaxiola	gaxiola	PROPN
ejpam-3065	137	8	,	,	PUNCT
ejpam-3065	137	9	j	j	PROPN
ejpam-3065	137	10	ruiz	ruiz	PROPN
ejpam-3065	137	11	de	de	PROPN
ejpam-3065	137	12	chávez	chávez	PROPN
ejpam-3065	137	13	and	and	CCONJ
ejpam-3065	137	14	j	j	PROPN
ejpam-3065	137	15	a	a	DET
ejpam-3065	137	16	santiago	santiago	PROPN
ejpam-3065	137	17	.	.	PUNCT
ejpam-3065	138	1	a	a	DET
ejpam-3065	138	2	nonlinear	nonlinear	ADJ
ejpam-3065	138	3	option	option	NOUN
ejpam-3065	138	4	pricing	pricing	NOUN
ejpam-3065	138	5	model	model	NOUN
ejpam-3065	138	6	through	through	ADP
ejpam-3065	138	7	the	the	DET
ejpam-3065	138	8	adomian	adomian	NOUN
ejpam-3065	138	9	decomposition	decomposition	NOUN
ejpam-3065	138	10	method	method	NOUN
ejpam-3065	138	11	.	.	PUNCT
ejpam-3065	139	1	int	int	NOUN
ejpam-3065	139	2	.	.	PUNCT
ejpam-3065	140	1	j.	j.	PROPN
ejpam-3065	140	2	appl	appl	PROPN
ejpam-3065	140	3	.	.	PUNCT
ejpam-3065	141	1	comput	comput	PROPN
ejpam-3065	141	2	.	.	PUNCT
ejpam-3065	142	1	math	math	NOUN
ejpam-3065	142	2	.	.	PUNCT
ejpam-3065	143	1	,	,	PUNCT
ejpam-3065	143	2	2	2	X
ejpam-3065	143	3	:	:	PUNCT
ejpam-3065	143	4	453	453	NUM
ejpam-3065	143	5	-	-	SYM
ejpam-3065	143	6	467	467	NUM
ejpam-3065	143	7	,	,	PUNCT
ejpam-3065	143	8	2016	2016	NUM
ejpam-3065	143	9	.	.	PUNCT
ejpam-3065	144	1	[	[	X
ejpam-3065	144	2	13	13	NUM
ejpam-3065	144	3	]	]	X
ejpam-3065	144	4	o	o	X
ejpam-3065	144	5	gonzález	gonzález	PROPN
ejpam-3065	144	6	-	-	PUNCT
ejpam-3065	144	7	gaxiola	gaxiola	PROPN
ejpam-3065	144	8	and	and	CCONJ
ejpam-3065	144	9	j	j	PROPN
ejpam-3065	144	10	ruiz	ruiz	PROPN
ejpam-3065	144	11	de	de	PROPN
ejpam-3065	144	12	chávez	chávez	PROPN
ejpam-3065	144	13	.	.	PUNCT
ejpam-3065	145	1	solving	solve	VERB
ejpam-3065	145	2	the	the	DET
ejpam-3065	145	3	ivancevic	ivancevic	ADJ
ejpam-3065	145	4	option	option	NOUN
ejpam-3065	145	5	pricing	pricing	NOUN
ejpam-3065	145	6	model	model	NOUN
ejpam-3065	145	7	using	use	VERB
ejpam-3065	145	8	the	the	DET
ejpam-3065	145	9	elsaki	elsaki	ADJ
ejpam-3065	145	10	-	-	PUNCT
ejpam-3065	145	11	adomian	adomian	NOUN
ejpam-3065	145	12	decomposition	decomposition	NOUN
ejpam-3065	145	13	method	method	NOUN
ejpam-3065	145	14	.	.	PUNCT
ejpam-3065	146	1	int	int	NOUN
ejpam-3065	146	2	.	.	PUNCT
ejpam-3065	147	1	j.	j.	PROPN
ejpam-3065	147	2	of	of	ADP
ejpam-3065	147	3	applied	applied	ADJ
ejpam-3065	147	4	math	math	NOUN
ejpam-3065	147	5	.	.	PUNCT
ejpam-3065	147	6	,	,	PUNCT
ejpam-3065	147	7	28	28	NUM
ejpam-3065	147	8	:	:	SYM
ejpam-3065	147	9	515525	515525	NUM
ejpam-3065	147	10	,	,	PUNCT
ejpam-3065	147	11	2015	2015	NUM
ejpam-3065	147	12	.	.	PUNCT
ejpam-3065	148	1	[	[	X
ejpam-3065	148	2	14	14	NUM
ejpam-3065	148	3	]	]	X
ejpam-3065	148	4	j	j	PROPN
ejpam-3065	148	5	h	h	NOUN
ejpam-3065	148	6	he	he	PRON
ejpam-3065	148	7	.	.	PUNCT
ejpam-3065	149	1	some	some	DET
ejpam-3065	149	2	asymptotic	asymptotic	ADJ
ejpam-3065	149	3	methods	method	NOUN
ejpam-3065	149	4	for	for	ADP
ejpam-3065	149	5	strongly	strongly	ADV
ejpam-3065	149	6	nonlinear	nonlinear	ADJ
ejpam-3065	149	7	equations	equation	NOUN
ejpam-3065	149	8	.	.	PUNCT
ejpam-3065	150	1	int	int	NOUN
ejpam-3065	150	2	.	.	PUNCT
ejpam-3065	151	1	j.	j.	PROPN
ejpam-3065	151	2	mod	mod	PROPN
ejpam-3065	151	3	.	.	PUNCT
ejpam-3065	152	1	phys	phy	NOUN
ejpam-3065	152	2	.	.	PUNCT
ejpam-3065	153	1	b	b	X
ejpam-3065	153	2	,	,	PUNCT
ejpam-3065	153	3	20(10	20(10	NUM
ejpam-3065	153	4	):	):	PUNCT
ejpam-3065	153	5	1141	1141	NUM
ejpam-3065	153	6	-	-	SYM
ejpam-3065	153	7	1199	1199	NUM
ejpam-3065	153	8	,	,	PUNCT
ejpam-3065	153	9	2006	2006	NUM
ejpam-3065	153	10	.	.	PUNCT
ejpam-3065	154	1	[	[	X
ejpam-3065	154	2	15	15	NUM
ejpam-3065	154	3	]	]	X
ejpam-3065	154	4	j	j	PROPN
ejpam-3065	154	5	h	h	NOUN
ejpam-3065	154	6	he	he	PRON
ejpam-3065	154	7	.	.	PUNCT
ejpam-3065	155	1	comment	comment	NOUN
ejpam-3065	155	2	on	on	ADP
ejpam-3065	155	3	he	he	PRON
ejpam-3065	155	4	’s	’s	PART
ejpam-3065	155	5	frequency	frequency	NOUN
ejpam-3065	155	6	formulation	formulation	NOUN
ejpam-3065	155	7	for	for	ADP
ejpam-3065	155	8	nonlinear	nonlinear	ADJ
ejpam-3065	155	9	oscillators	oscillator	NOUN
ejpam-3065	155	10	.	.	PUNCT
ejpam-3065	156	1	eur	eur	PROPN
ejpam-3065	156	2	.	.	PUNCT
ejpam-3065	157	1	j.	j.	PROPN
ejpam-3065	157	2	phys	phys	PROPN
ejpam-3065	157	3	.	.	PUNCT
ejpam-3065	158	1	29	29	NUM
ejpam-3065	158	2	:	:	PUNCT
ejpam-3065	158	3	l19	l19	NOUN
ejpam-3065	158	4	-	-	PUNCT
ejpam-3065	158	5	l22	l22	NOUN
ejpam-3065	158	6	,	,	PUNCT
ejpam-3065	158	7	2008	2008	NUM
ejpam-3065	158	8	.	.	PUNCT
ejpam-3065	159	1	[	[	X
ejpam-3065	159	2	16	16	NUM
ejpam-3065	159	3	]	]	X
ejpam-3065	159	4	j	j	PROPN
ejpam-3065	159	5	h	h	NOUN
ejpam-3065	159	6	he	he	PRON
ejpam-3065	159	7	.	.	PUNCT
ejpam-3065	160	1	an	an	DET
ejpam-3065	160	2	improved	improve	VERB
ejpam-3065	160	3	amplitude	amplitude	NOUN
ejpam-3065	160	4	-	-	PUNCT
ejpam-3065	160	5	frequency	frequency	NOUN
ejpam-3065	160	6	formulation	formulation	NOUN
ejpam-3065	160	7	for	for	ADP
ejpam-3065	160	8	nonlinear	nonlinear	ADJ
ejpam-3065	160	9	oscillators	oscillator	NOUN
ejpam-3065	160	10	.	.	PUNCT
ejpam-3065	161	1	int	int	NOUN
ejpam-3065	161	2	.	.	PUNCT
ejpam-3065	162	1	j.	j.	PROPN
ejpam-3065	162	2	nonlinear	nonlinear	PROPN
ejpam-3065	162	3	sci	sci	PROPN
ejpam-3065	162	4	.	.	PUNCT
ejpam-3065	162	5	numer	numer	PROPN
ejpam-3065	162	6	.	.	PUNCT
ejpam-3065	163	1	simul	simul	PROPN
ejpam-3065	163	2	.	.	PROPN
ejpam-3065	163	3	,	,	PUNCT
ejpam-3065	163	4	9(2	9(2	NUM
ejpam-3065	163	5	):	):	PUNCT
ejpam-3065	163	6	211	211	NUM
ejpam-3065	163	7	-	-	SYM
ejpam-3065	163	8	212	212	NUM
ejpam-3065	163	9	,	,	PUNCT
ejpam-3065	163	10	2008	2008	NUM
ejpam-3065	163	11	.	.	PUNCT
ejpam-3065	164	1	[	[	X
ejpam-3065	164	2	17	17	NUM
ejpam-3065	164	3	]	]	SYM
ejpam-3065	164	4	v	v	ADP
ejpam-3065	164	5	g	g	NOUN
ejpam-3065	164	6	ivancevic	ivancevic	ADJ
ejpam-3065	164	7	.	.	PUNCT
ejpam-3065	165	1	adaptive	adaptive	ADJ
ejpam-3065	165	2	wave	wave	NOUN
ejpam-3065	165	3	models	model	NOUN
ejpam-3065	165	4	for	for	ADP
ejpam-3065	165	5	sophisticated	sophisticated	ADJ
ejpam-3065	165	6	option	option	NOUN
ejpam-3065	165	7	pricing	pricing	NOUN
ejpam-3065	165	8	.	.	PUNCT
ejpam-3065	166	1	journal	journal	PROPN
ejpam-3065	166	2	of	of	ADP
ejpam-3065	166	3	mathematical	mathematical	ADJ
ejpam-3065	166	4	finance	finance	NOUN
ejpam-3065	166	5	,	,	PUNCT
ejpam-3065	166	6	1	1	NUM
ejpam-3065	166	7	:	:	SYM
ejpam-3065	166	8	41	41	NUM
ejpam-3065	166	9	-	-	SYM
ejpam-3065	166	10	49	49	NUM
ejpam-3065	166	11	,	,	PUNCT
ejpam-3065	166	12	2011	2011	NUM
ejpam-3065	166	13	.	.	PUNCT
ejpam-3065	167	1	references	reference	NOUN
ejpam-3065	167	2	637	637	NUM
ejpam-3065	168	1	[	[	X
ejpam-3065	168	2	18	18	NUM
ejpam-3065	168	3	]	]	SYM
ejpam-3065	168	4	v	v	NOUN
ejpam-3065	168	5	g	g	NOUN
ejpam-3065	168	6	ivancevic	ivancevic	ADJ
ejpam-3065	168	7	.	.	PUNCT
ejpam-3065	169	1	adaptive	adaptive	ADJ
ejpam-3065	169	2	-	-	PUNCT
ejpam-3065	169	3	wave	wave	NOUN
ejpam-3065	169	4	alternative	alternative	NOUN
ejpam-3065	169	5	for	for	ADP
ejpam-3065	169	6	the	the	DET
ejpam-3065	169	7	black	black	ADJ
ejpam-3065	169	8	-	-	PUNCT
ejpam-3065	169	9	scholes	schole	NOUN
ejpam-3065	169	10	option	option	NOUN
ejpam-3065	169	11	pricing	pricing	NOUN
ejpam-3065	169	12	model	model	NOUN
ejpam-3065	169	13	.	.	PUNCT
ejpam-3065	170	1	cognitive	cognitive	ADJ
ejpam-3065	170	2	computation	computation	NOUN
ejpam-3065	170	3	,	,	PUNCT
ejpam-3065	170	4	2	2	NUM
ejpam-3065	170	5	:	:	SYM
ejpam-3065	170	6	17	17	NUM
ejpam-3065	170	7	-	-	SYM
ejpam-3065	170	8	30	30	NUM
ejpam-3065	170	9	,	,	PUNCT
ejpam-3065	170	10	2010	2010	NUM
ejpam-3065	170	11	.	.	PUNCT
ejpam-3065	171	1	[	[	X
ejpam-3065	171	2	19	19	NUM
ejpam-3065	171	3	]	]	X
ejpam-3065	171	4	r	r	NOUN
ejpam-3065	171	5	c	c	NOUN
ejpam-3065	171	6	merton	merton	NOUN
ejpam-3065	171	7	.	.	PUNCT
ejpam-3065	172	1	theory	theory	NOUN
ejpam-3065	172	2	of	of	ADP
ejpam-3065	172	3	rational	rational	ADJ
ejpam-3065	172	4	option	option	NOUN
ejpam-3065	172	5	pricing	pricing	NOUN
ejpam-3065	172	6	.	.	PUNCT
ejpam-3065	173	1	the	the	DET
ejpam-3065	173	2	bell	bell	PROPN
ejpam-3065	173	3	journal	journal	PROPN
ejpam-3065	173	4	of	of	ADP
ejpam-3065	173	5	economics	economic	NOUN
ejpam-3065	173	6	and	and	CCONJ
ejpam-3065	173	7	management	management	NOUN
ejpam-3065	173	8	science	science	NOUN
ejpam-3065	173	9	,	,	PUNCT
ejpam-3065	173	10	4	4	NUM
ejpam-3065	173	11	:	:	SYM
ejpam-3065	173	12	141	141	NUM
ejpam-3065	173	13	-	-	SYM
ejpam-3065	173	14	183	183	NUM
ejpam-3065	173	15	,	,	PUNCT
ejpam-3065	173	16	1973	1973	NUM
ejpam-3065	173	17	.	.	PUNCT
ejpam-3065	174	1	[	[	X
ejpam-3065	174	2	20	20	NUM
ejpam-3065	174	3	]	]	X
ejpam-3065	174	4	j	j	PROPN
ejpam-3065	174	5	perello	perello	NOUN
ejpam-3065	174	6	,	,	PUNCT
ejpam-3065	174	7	r	r	NOUN
ejpam-3065	174	8	sircar	sircar	NOUN
ejpam-3065	174	9	and	and	CCONJ
ejpam-3065	174	10	j	j	PROPN
ejpam-3065	174	11	masoliver	masoliver	PROPN
ejpam-3065	174	12	.	.	PUNCT
ejpam-3065	175	1	option	option	NOUN
ejpam-3065	175	2	pricing	pricing	NOUN
ejpam-3065	175	3	under	under	ADP
ejpam-3065	175	4	stochastic	stochastic	ADJ
ejpam-3065	175	5	volatility	volatility	NOUN
ejpam-3065	175	6	:	:	PUNCT
ejpam-3065	175	7	the	the	DET
ejpam-3065	175	8	exponential	exponential	ADJ
ejpam-3065	175	9	ornstein	ornstein	PROPN
ejpam-3065	175	10	-	-	PUNCT
ejpam-3065	175	11	uhlenbeck	uhlenbeck	PROPN
ejpam-3065	175	12	model	model	PROPN
ejpam-3065	175	13	.	.	PUNCT
ejpam-3065	176	1	j.	j.	PROPN
ejpam-3065	176	2	stat	stat	PROPN
ejpam-3065	176	3	.	.	PUNCT
ejpam-3065	177	1	mech	mech	PROPN
ejpam-3065	177	2	.	.	PUNCT
ejpam-3065	178	1	p06010	p06010	NOUN
ejpam-3065	178	2	,	,	PUNCT
ejpam-3065	178	3	2008	2008	NUM
ejpam-3065	178	4	.	.	PUNCT
ejpam-3065	179	1	[	[	X
ejpam-3065	179	2	21	21	NUM
ejpam-3065	179	3	]	]	X
ejpam-3065	179	4	m	m	PROPN
ejpam-3065	179	5	r	r	NOUN
ejpam-3065	179	6	rodrigo	rodrigo	NOUN
ejpam-3065	179	7	and	and	CCONJ
ejpam-3065	179	8	r	r	PROPN
ejpam-3065	179	9	s	s	PROPN
ejpam-3065	179	10	mamon	mamon	NOUN
ejpam-3065	179	11	.	.	PUNCT
ejpam-3065	180	1	an	an	DET
ejpam-3065	180	2	alternative	alternative	ADJ
ejpam-3065	180	3	approach	approach	NOUN
ejpam-3065	180	4	to	to	ADP
ejpam-3065	180	5	solving	solve	VERB
ejpam-3065	180	6	the	the	DET
ejpam-3065	180	7	black	black	ADJ
ejpam-3065	180	8	-	-	PUNCT
ejpam-3065	180	9	scholes	schole	NOUN
ejpam-3065	180	10	equation	equation	NOUN
ejpam-3065	180	11	with	with	ADP
ejpam-3065	180	12	time	time	NOUN
ejpam-3065	180	13	-	-	PUNCT
ejpam-3065	180	14	varying	vary	VERB
ejpam-3065	180	15	parameters	parameter	NOUN
ejpam-3065	180	16	.	.	PUNCT
ejpam-3065	181	1	appl	appl	PROPN
ejpam-3065	181	2	.	.	PROPN
ejpam-3065	181	3	math	math	PROPN
ejpam-3065	181	4	.	.	PUNCT
ejpam-3065	182	1	lett	lett	PROPN
ejpam-3065	182	2	.	.	PROPN
ejpam-3065	182	3	,	,	PUNCT
ejpam-3065	182	4	19	19	NUM
ejpam-3065	182	5	:	:	SYM
ejpam-3065	182	6	398	398	NUM
ejpam-3065	182	7	-	-	SYM
ejpam-3065	182	8	402	402	NUM
ejpam-3065	182	9	,	,	PUNCT
ejpam-3065	182	10	2006	2006	NUM
ejpam-3065	182	11	.	.	PUNCT
ejpam-3065	183	1	[	[	X
ejpam-3065	183	2	22	22	NUM
ejpam-3065	183	3	]	]	X
ejpam-3065	183	4	m	m	VERB
ejpam-3065	183	5	wróblewski	wróblewski	PROPN
ejpam-3065	183	6	.	.	PUNCT
ejpam-3065	183	7	nonlinear	nonlinear	PROPN
ejpam-3065	183	8	schrödinger	schrödinger	NOUN
ejpam-3065	183	9	approach	approach	NOUN
ejpam-3065	183	10	to	to	ADP
ejpam-3065	183	11	european	european	ADJ
ejpam-3065	183	12	option	option	NOUN
ejpam-3065	183	13	pricing	pricing	NOUN
ejpam-3065	183	14	.	.	PUNCT
ejpam-3065	184	1	open	open	ADJ
ejpam-3065	184	2	phys	phy	NOUN
ejpam-3065	184	3	.	.	PUNCT
ejpam-3065	184	4	,	,	PUNCT
ejpam-3065	184	5	15	15	NUM
ejpam-3065	184	6	:	:	SYM
ejpam-3065	184	7	280	280	NUM
ejpam-3065	184	8	-	-	SYM
ejpam-3065	184	9	291	291	NUM
ejpam-3065	184	10	,	,	PUNCT
ejpam-3065	184	11	2017	2017	NUM
ejpam-3065	184	12	.	.	PUNCT
ejpam-3065	185	1	[	[	X
ejpam-3065	185	2	23	23	NUM
ejpam-3065	185	3	]	]	X
ejpam-3065	185	4	j	j	PROPN
ejpam-3065	185	5	voit	voit	PROPN
ejpam-3065	185	6	.	.	PUNCT
ejpam-3065	186	1	the	the	DET
ejpam-3065	186	2	statistical	statistical	ADJ
ejpam-3065	186	3	mechanics	mechanic	NOUN
ejpam-3065	186	4	of	of	ADP
ejpam-3065	186	5	financial	financial	ADJ
ejpam-3065	186	6	markets	market	NOUN
ejpam-3065	186	7	.	.	PUNCT
ejpam-3065	187	1	springer	springer	NOUN
ejpam-3065	187	2	,	,	PUNCT
ejpam-3065	187	3	berlin	berlin	PROPN
ejpam-3065	187	4	,	,	PUNCT
ejpam-3065	187	5	2005	2005	NUM
ejpam-3065	187	6	.	.	PUNCT
ejpam-3065	188	1	[	[	X
ejpam-3065	188	2	24	24	NUM
ejpam-3065	188	3	]	]	X
ejpam-3065	188	4	o	o	X
ejpam-3065	188	5	vukovic	vukovic	NOUN
ejpam-3065	188	6	.	.	PUNCT
ejpam-3065	189	1	on	on	ADP
ejpam-3065	189	2	the	the	DET
ejpam-3065	189	3	interconnectedness	interconnectedness	NOUN
ejpam-3065	189	4	of	of	ADP
ejpam-3065	189	5	schrödinger	schrödinger	NOUN
ejpam-3065	189	6	and	and	CCONJ
ejpam-3065	189	7	black	black	ADJ
ejpam-3065	189	8	-	-	PUNCT
ejpam-3065	189	9	scholes	schole	NOUN
ejpam-3065	189	10	equation	equation	NOUN
ejpam-3065	189	11	.	.	PUNCT
ejpam-3065	190	1	journal	journal	PROPN
ejpam-3065	190	2	of	of	ADP
ejpam-3065	190	3	applied	apply	VERB
ejpam-3065	190	4	mathematics	mathematic	NOUN
ejpam-3065	190	5	and	and	CCONJ
ejpam-3065	190	6	physics	physics	NOUN
ejpam-3065	190	7	,	,	PUNCT
ejpam-3065	190	8	3	3	NUM
ejpam-3065	190	9	:	:	SYM
ejpam-3065	190	10	1108	1108	NUM
ejpam-3065	190	11	-	-	SYM
ejpam-3065	190	12	1113	1113	NUM
ejpam-3065	190	13	,	,	PUNCT
ejpam-3065	190	14	2015	2015	NUM
ejpam-3065	190	15	.	.	PUNCT
ejpam-3065	191	1	[	[	X
ejpam-3065	191	2	25	25	NUM
ejpam-3065	191	3	]	]	PUNCT
ejpam-3065	191	4	a	a	DET
ejpam-3065	191	5	m	m	NOUN
ejpam-3065	191	6	wazwaz	wazwaz	NOUN
ejpam-3065	191	7	.	.	PUNCT
ejpam-3065	192	1	a	a	DET
ejpam-3065	192	2	study	study	NOUN
ejpam-3065	192	3	on	on	ADP
ejpam-3065	192	4	linear	linear	PROPN
ejpam-3065	192	5	and	and	CCONJ
ejpam-3065	192	6	nonlinear	nonlinear	ADJ
ejpam-3065	192	7	schrödinger	schrödinger	NOUN
ejpam-3065	192	8	equations	equation	NOUN
ejpam-3065	192	9	by	by	ADP
ejpam-3065	192	10	the	the	DET
ejpam-3065	192	11	variational	variational	ADJ
ejpam-3065	192	12	iteration	iteration	NOUN
ejpam-3065	192	13	method	method	NOUN
ejpam-3065	192	14	.	.	PUNCT
ejpam-3065	193	1	chaos	chaos	NOUN
ejpam-3065	193	2	,	,	PUNCT
ejpam-3065	193	3	solitons	soliton	NOUN
ejpam-3065	193	4	and	and	CCONJ
ejpam-3065	193	5	fractals	fractal	NOUN
ejpam-3065	193	6	,	,	PUNCT
ejpam-3065	193	7	37	37	NUM
ejpam-3065	193	8	:	:	SYM
ejpam-3065	193	9	1136	1136	NUM
ejpam-3065	193	10	-	-	SYM
ejpam-3065	193	11	1142	1142	NUM
ejpam-3065	193	12	,	,	PUNCT
ejpam-3065	193	13	2008	2008	NUM
ejpam-3065	193	14	.	.	PUNCT
ejpam-3065	194	1	[	[	X
ejpam-3065	194	2	26	26	NUM
ejpam-3065	194	3	]	]	SYM
ejpam-3065	194	4	h	h	NOUN
ejpam-3065	194	5	l	l	PROPN
ejpam-3065	194	6	zhang	zhang	PROPN
ejpam-3065	194	7	.	.	PUNCT
ejpam-3065	195	1	application	application	NOUN
ejpam-3065	195	2	of	of	ADP
ejpam-3065	195	3	he	he	PRON
ejpam-3065	195	4	’s	’s	PART
ejpam-3065	195	5	frequency	frequency	NOUN
ejpam-3065	195	6	-	-	PUNCT
ejpam-3065	195	7	amplitude	amplitude	NOUN
ejpam-3065	195	8	formulation	formulation	NOUN
ejpam-3065	195	9	to	to	ADP
ejpam-3065	195	10	an	an	DET
ejpam-3065	195	11	x1/3	x1/3	PROPN
ejpam-3065	195	12	force	force	PROPN
ejpam-3065	195	13	nonlinear	nonlinear	PROPN
ejpam-3065	195	14	oscillator	oscillator	NOUN
ejpam-3065	195	15	.	.	PUNCT
ejpam-3065	196	1	int	int	NOUN
ejpam-3065	196	2	.	.	PUNCT
ejpam-3065	197	1	journal	journal	PROPN
ejpam-3065	197	2	of	of	ADP
ejpam-3065	197	3	nonlinear	nonlinear	PROPN
ejpam-3065	197	4	sciences	sciences	PROPN
ejpam-3065	197	5	and	and	CCONJ
ejpam-3065	197	6	numerical	numerical	PROPN
ejpam-3065	197	7	simulation	simulation	NOUN
ejpam-3065	197	8	,	,	PUNCT
ejpam-3065	197	9	9	9	NUM
ejpam-3065	197	10	:	:	SYM
ejpam-3065	197	11	297	297	NUM
ejpam-3065	197	12	-	-	SYM
ejpam-3065	197	13	300	300	NUM
ejpam-3065	197	14	,	,	PUNCT
ejpam-3065	197	15	2008	2008	NUM
ejpam-3065	197	16	.	.	PUNCT
ejpam-3065	198	1	[	[	X
ejpam-3065	198	2	27	27	NUM
ejpam-3065	198	3	]	]	X
ejpam-3065	198	4	y	y	PROPN
ejpam-3065	198	5	-	-	PUNCT
ejpam-3065	198	6	n	n	NOUN
ejpam-3065	198	7	zhanga	zhanga	NOUN
ejpam-3065	198	8	,	,	PUNCT
ejpam-3065	198	9	fei	fei	PROPN
ejpam-3065	198	10	xu	xu	PROPN
ejpam-3065	198	11	and	and	CCONJ
ejpam-3065	198	12	ling	ling	PROPN
ejpam-3065	198	13	-	-	PUNCT
ejpam-3065	198	14	ling	ling	PROPN
ejpam-3065	198	15	deng	deng	PROPN
ejpam-3065	198	16	.	.	PUNCT
ejpam-3065	199	1	exact	exact	ADJ
ejpam-3065	199	2	solution	solution	NOUN
ejpam-3065	199	3	for	for	ADP
ejpam-3065	199	4	nonlinear	nonlinear	ADJ
ejpam-3065	199	5	schrödinger	schrödinger	NOUN
ejpam-3065	199	6	equation	equation	NOUN
ejpam-3065	199	7	by	by	ADP
ejpam-3065	199	8	he	he	PRON
ejpam-3065	199	9	’s	’s	PART
ejpam-3065	199	10	frequency	frequency	NOUN
ejpam-3065	199	11	formulation	formulation	NOUN
ejpam-3065	199	12	.	.	PUNCT
ejpam-3065	200	1	comput	comput	NOUN
ejpam-3065	200	2	.	.	PUNCT
ejpam-3065	201	1	math	math	NOUN
ejpam-3065	201	2	.	.	PUNCT
ejpam-3065	202	1	appl	appl	PROPN
ejpam-3065	202	2	.	.	PROPN
ejpam-3065	202	3	,	,	PUNCT
ejpam-3065	202	4	58	58	NUM
ejpam-3065	202	5	:	:	SYM
ejpam-3065	202	6	2449	2449	NUM
ejpam-3065	202	7	-	-	SYM
ejpam-3065	202	8	2451	2451	NUM
ejpam-3065	202	9	,	,	PUNCT
ejpam-3065	202	10	2009	2009	NUM
ejpam-3065	202	11	.	.	PUNCT