id	sid	tid	token	lemma	pos
bibechana-11687	1	1	microsoft	microsoft	PROPN
bibechana-11687	1	2	word	word	NOUN
bibechana-11687	1	3	ahmad	ahmad	PROPN
bibechana-11687	1	4	_	_	NOUN
bibechana-11687	1	5	59	59	NUM
bibechana-11687	1	6	-	-	SYM
bibechana-11687	1	7	69_.docx	69_.docx	NUM
bibechana-11687	1	8	r	r	NOUN
bibechana-11687	1	9	c	c	NOUN
bibechana-11687	2	1	o	o	NOUN
bibechana-11687	2	2	s	s	PROPN
bibechana-11687	2	3	t	t	PROPN
bibechana-11687	2	4	n	n	PRON
bibechana-11687	2	5	publisher	publisher	NOUN
bibechana-11687	2	6	:	:	PUNCT
bibechana-11687	2	7	research	research	PROPN
bibechana-11687	2	8	council	council	PROPN
bibechana-11687	2	9	of	of	ADP
bibechana-11687	2	10	science	science	NOUN
bibechana-11687	2	11	and	and	CCONJ
bibechana-11687	2	12	technology	technology	NOUN
bibechana-11687	2	13	,	,	PUNCT
bibechana-11687	2	14	biratnagar	biratnagar	NOUN
bibechana-11687	2	15	,	,	PUNCT
bibechana-11687	2	16	nepal	nepal	ADJ
bibechana-11687	2	17	p.59	p.59	NOUN
bibechana-11687	2	18	bibechana	bibechana	NOUN
bibechana-11687	2	19	a	a	DET
bibechana-11687	2	20	multidisciplinary	multidisciplinary	ADJ
bibechana-11687	2	21	journal	journal	NOUN
bibechana-11687	2	22	of	of	ADP
bibechana-11687	2	23	science	science	NOUN
bibechana-11687	2	24	,	,	PUNCT
bibechana-11687	2	25	technology	technology	NOUN
bibechana-11687	2	26	and	and	CCONJ
bibechana-11687	2	27	mathematics	mathematic	NOUN
bibechana-11687	2	28	issn	issn	VERB
bibechana-11687	2	29	2091	2091	NUM
bibechana-11687	2	30	-	-	SYM
bibechana-11687	2	31	0762	0762	NUM
bibechana-11687	2	32	(	(	PUNCT
bibechana-11687	2	33	print	print	NOUN
bibechana-11687	2	34	)	)	PUNCT
bibechana-11687	2	35	,	,	PUNCT
bibechana-11687	2	36	2382	2382	NUM
bibechana-11687	2	37	-	-	SYM
bibechana-11687	2	38	5340	5340	NUM
bibechana-11687	2	39	(	(	PUNCT
bibechana-11687	2	40	online	online	ADJ
bibechana-11687	2	41	)	)	PUNCT
bibechana-11687	2	42	journal	journal	NOUN
bibechana-11687	2	43	homepage	homepage	NOUN
bibechana-11687	2	44	:	:	PUNCT
bibechana-11687	2	45	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-11687	2	46	on	on	ADP
bibechana-11687	2	47	some	some	DET
bibechana-11687	2	48	nonlinear	nonlinear	ADJ
bibechana-11687	2	49	fractional	fractional	ADJ
bibechana-11687	2	50	pdes	pde	NOUN
bibechana-11687	2	51	in	in	ADP
bibechana-11687	2	52	physics	physics	NOUN
bibechana-11687	2	53	jamshad	jamshad	VERB
bibechana-11687	2	54	ahmad	ahmad	PROPN
bibechana-11687	2	55	*	*	PUNCT
bibechana-11687	2	56	,	,	PUNCT
bibechana-11687	2	57	syed	syed	ADJ
bibechana-11687	2	58	tauseef	tauseef	ADJ
bibechana-11687	2	59	mohyud	mohyud	NOUN
bibechana-11687	2	60	-	-	PUNCT
bibechana-11687	2	61	din	din	NOUN
bibechana-11687	2	62	department	department	PROPN
bibechana-11687	2	63	of	of	ADP
bibechana-11687	2	64	mathematics	mathematic	NOUN
bibechana-11687	2	65	,	,	PUNCT
bibechana-11687	2	66	faculty	faculty	NOUN
bibechana-11687	2	67	of	of	ADP
bibechana-11687	2	68	sciences	science	NOUN
bibechana-11687	2	69	,	,	PUNCT
bibechana-11687	2	70	hitec	hitec	ADJ
bibechana-11687	2	71	university	university	NOUN
bibechana-11687	2	72	taxila	taxila	NOUN
bibechana-11687	2	73	,	,	PUNCT
bibechana-11687	2	74	pakistan	pakistan	PROPN
bibechana-11687	2	75	*	*	PUNCT
bibechana-11687	2	76	email	email	NOUN
bibechana-11687	2	77	:	:	PUNCT
bibechana-11687	2	78	jamshadahmadm@gmail.com	jamshadahmadm@gmail.com	X
bibechana-11687	3	1	accepted	accept	VERB
bibechana-11687	3	2	for	for	ADP
bibechana-11687	3	3	publication	publication	NOUN
bibechana-11687	3	4	:	:	PUNCT
bibechana-11687	3	5	december	december	PROPN
bibechana-11687	3	6	12	12	NUM
bibechana-11687	3	7	,	,	PUNCT
bibechana-11687	3	8	2014	2014	NUM
bibechana-11687	3	9	abstract	abstract	NOUN
bibechana-11687	3	10	in	in	ADP
bibechana-11687	3	11	this	this	DET
bibechana-11687	3	12	paper	paper	NOUN
bibechana-11687	3	13	,	,	PUNCT
bibechana-11687	3	14	we	we	PRON
bibechana-11687	3	15	applied	apply	VERB
bibechana-11687	3	16	relatively	relatively	ADV
bibechana-11687	3	17	new	new	ADJ
bibechana-11687	3	18	fractional	fractional	ADJ
bibechana-11687	3	19	complex	complex	ADJ
bibechana-11687	3	20	transform	transform	NOUN
bibechana-11687	3	21	(	(	PUNCT
bibechana-11687	3	22	fct	fct	NOUN
bibechana-11687	3	23	)	)	PUNCT
bibechana-11687	3	24	to	to	PART
bibechana-11687	3	25	convert	convert	VERB
bibechana-11687	3	26	the	the	DET
bibechana-11687	3	27	given	give	VERB
bibechana-11687	3	28	fractional	fractional	ADJ
bibechana-11687	3	29	partial	partial	ADJ
bibechana-11687	3	30	differential	differential	NOUN
bibechana-11687	3	31	equations	equation	NOUN
bibechana-11687	3	32	(	(	PUNCT
bibechana-11687	3	33	fpdes	fpde	NOUN
bibechana-11687	3	34	)	)	PUNCT
bibechana-11687	3	35	into	into	ADP
bibechana-11687	3	36	corresponding	correspond	VERB
bibechana-11687	3	37	partial	partial	ADJ
bibechana-11687	3	38	differential	differential	ADJ
bibechana-11687	3	39	equations	equation	NOUN
bibechana-11687	3	40	(	(	PUNCT
bibechana-11687	3	41	pdes	pde	NOUN
bibechana-11687	3	42	)	)	PUNCT
bibechana-11687	3	43	and	and	CCONJ
bibechana-11687	3	44	variational	variational	ADJ
bibechana-11687	3	45	iteration	iteration	NOUN
bibechana-11687	3	46	method	method	NOUN
bibechana-11687	3	47	(	(	PUNCT
bibechana-11687	3	48	vim	vim	NOUN
bibechana-11687	3	49	)	)	PUNCT
bibechana-11687	3	50	is	be	AUX
bibechana-11687	3	51	to	to	PART
bibechana-11687	3	52	find	find	VERB
bibechana-11687	3	53	approximate	approximate	ADJ
bibechana-11687	3	54	solution	solution	NOUN
bibechana-11687	3	55	of	of	ADP
bibechana-11687	3	56	timefractional	timefractional	ADJ
bibechana-11687	3	57	fornberg	fornberg	PROPN
bibechana-11687	3	58	-	-	PUNCT
bibechana-11687	3	59	whitham	whitham	NOUN
bibechana-11687	3	60	and	and	CCONJ
bibechana-11687	3	61	time	time	NOUN
bibechana-11687	3	62	-	-	PUNCT
bibechana-11687	3	63	fractional	fractional	ADJ
bibechana-11687	3	64	wu	wu	PROPN
bibechana-11687	3	65	-	-	PUNCT
bibechana-11687	3	66	zhang	zhang	PROPN
bibechana-11687	3	67	equations	equation	NOUN
bibechana-11687	3	68	.	.	PUNCT
bibechana-11687	4	1	the	the	DET
bibechana-11687	4	2	results	result	NOUN
bibechana-11687	4	3	so	so	ADV
bibechana-11687	4	4	obtained	obtain	VERB
bibechana-11687	4	5	are	be	AUX
bibechana-11687	4	6	re	re	VERB
bibechana-11687	4	7	-	-	VERB
bibechana-11687	4	8	stated	state	VERB
bibechana-11687	4	9	by	by	ADP
bibechana-11687	4	10	making	make	VERB
bibechana-11687	4	11	use	use	NOUN
bibechana-11687	4	12	of	of	ADP
bibechana-11687	4	13	inverse	inverse	NOUN
bibechana-11687	4	14	transformation	transformation	NOUN
bibechana-11687	4	15	which	which	PRON
bibechana-11687	4	16	yields	yield	VERB
bibechana-11687	4	17	it	it	PRON
bibechana-11687	4	18	in	in	ADP
bibechana-11687	4	19	terms	term	NOUN
bibechana-11687	4	20	of	of	ADP
bibechana-11687	4	21	original	original	ADJ
bibechana-11687	4	22	variables	variable	NOUN
bibechana-11687	4	23	.	.	PUNCT
bibechana-11687	5	1	it	it	PRON
bibechana-11687	5	2	is	be	AUX
bibechana-11687	5	3	observed	observe	VERB
bibechana-11687	5	4	that	that	SCONJ
bibechana-11687	5	5	the	the	DET
bibechana-11687	5	6	proposed	propose	VERB
bibechana-11687	5	7	algorithm	algorithm	NOUN
bibechana-11687	5	8	is	be	AUX
bibechana-11687	5	9	highly	highly	ADV
bibechana-11687	5	10	efficient	efficient	ADJ
bibechana-11687	5	11	and	and	CCONJ
bibechana-11687	5	12	appropriate	appropriate	ADJ
bibechana-11687	5	13	for	for	ADP
bibechana-11687	5	14	fractional	fractional	ADJ
bibechana-11687	5	15	pdes	pde	NOUN
bibechana-11687	5	16	arising	arise	VERB
bibechana-11687	5	17	in	in	ADP
bibechana-11687	5	18	mathematical	mathematical	ADJ
bibechana-11687	5	19	physics	physics	NOUN
bibechana-11687	5	20	and	and	CCONJ
bibechana-11687	5	21	hence	hence	ADV
bibechana-11687	5	22	can	can	AUX
bibechana-11687	5	23	be	be	AUX
bibechana-11687	5	24	extended	extend	VERB
bibechana-11687	5	25	to	to	ADP
bibechana-11687	5	26	other	other	ADJ
bibechana-11687	5	27	problems	problem	NOUN
bibechana-11687	5	28	of	of	ADP
bibechana-11687	5	29	diversified	diversified	ADJ
bibechana-11687	5	30	nonlinear	nonlinear	ADJ
bibechana-11687	5	31	nature	nature	NOUN
bibechana-11687	5	32	.	.	PUNCT
bibechana-11687	6	1	numerical	numerical	ADJ
bibechana-11687	6	2	results	result	NOUN
bibechana-11687	6	3	coupled	couple	VERB
bibechana-11687	6	4	with	with	ADP
bibechana-11687	6	5	graphical	graphical	ADJ
bibechana-11687	6	6	representations	representation	NOUN
bibechana-11687	6	7	explicitly	explicitly	ADV
bibechana-11687	6	8	reveal	reveal	VERB
bibechana-11687	6	9	the	the	DET
bibechana-11687	6	10	complete	complete	ADJ
bibechana-11687	6	11	reliability	reliability	NOUN
bibechana-11687	6	12	and	and	CCONJ
bibechana-11687	6	13	efficiency	efficiency	NOUN
bibechana-11687	6	14	of	of	ADP
bibechana-11687	6	15	the	the	DET
bibechana-11687	6	16	proposed	propose	VERB
bibechana-11687	6	17	algorithm	algorithm	NOUN
bibechana-11687	6	18	.	.	PUNCT
bibechana-11687	7	1	doi	doi	NOUN
bibechana-11687	7	2	:	:	PUNCT
bibechana-11687	7	3	http://dx.doi.org/10.3126/bibechana.v12i0.11687	http://dx.doi.org/10.3126/bibechana.v12i0.11687	NOUN
bibechana-11687	7	4	©	©	PROPN
bibechana-11687	7	5	2014	2014	NUM
bibechana-11687	7	6	rcost	rcost	NOUN
bibechana-11687	7	7	:	:	PUNCT
bibechana-11687	7	8	all	all	DET
bibechana-11687	7	9	rights	right	NOUN
bibechana-11687	7	10	reserved	reserve	VERB
bibechana-11687	7	11	.	.	PUNCT
bibechana-11687	8	1	keywords	keyword	NOUN
bibechana-11687	8	2	:	:	PUNCT
bibechana-11687	8	3	jumarie	jumarie	PROPN
bibechana-11687	8	4	’s	’s	PART
bibechana-11687	8	5	fractional	fractional	ADJ
bibechana-11687	8	6	derivatve	derivatve	PROPN
bibechana-11687	8	7	;	;	PUNCT
bibechana-11687	8	8	fractional	fractional	ADJ
bibechana-11687	8	9	fornberg	fornberg	PROPN
bibechana-11687	8	10	-	-	PUNCT
bibechana-11687	8	11	whitham	whitham	NOUN
bibechana-11687	8	12	equation	equation	NOUN
bibechana-11687	8	13	;	;	PUNCT
bibechana-11687	8	14	fractional	fractional	ADJ
bibechana-11687	8	15	wuzhang	wuzhang	PROPN
bibechana-11687	8	16	equations	equation	NOUN
bibechana-11687	8	17	;	;	PUNCT
bibechana-11687	8	18	variational	variational	ADJ
bibechana-11687	8	19	iteration	iteration	NOUN
bibechana-11687	8	20	method	method	NOUN
bibechana-11687	8	21	;	;	PUNCT
bibechana-11687	8	22	fractional	fractional	ADJ
bibechana-11687	8	23	complex	complex	ADJ
bibechana-11687	8	24	transform	transform	NOUN
bibechana-11687	8	25	.	.	PUNCT
bibechana-11687	8	26	.	.	PUNCT
bibechana-11687	9	1	1	1	X
bibechana-11687	9	2	.	.	X
bibechana-11687	9	3	introduction	introduction	NOUN
bibechana-11687	9	4	the	the	DET
bibechana-11687	9	5	nonlinear	nonlinear	ADJ
bibechana-11687	9	6	partial	partial	ADJ
bibechana-11687	9	7	differential	differential	NOUN
bibechana-11687	9	8	equations	equation	NOUN
bibechana-11687	9	9	(	(	PUNCT
bibechana-11687	9	10	npdes	npde	NOUN
bibechana-11687	9	11	)	)	PUNCT
bibechana-11687	9	12	are	be	AUX
bibechana-11687	9	13	encountered	encounter	VERB
bibechana-11687	9	14	in	in	ADP
bibechana-11687	9	15	various	various	ADJ
bibechana-11687	9	16	disciplines	discipline	NOUN
bibechana-11687	9	17	,	,	PUNCT
bibechana-11687	9	18	such	such	ADJ
bibechana-11687	9	19	as	as	ADP
bibechana-11687	9	20	physics	physics	NOUN
bibechana-11687	9	21	,	,	PUNCT
bibechana-11687	9	22	mechanics	mechanic	NOUN
bibechana-11687	9	23	,	,	PUNCT
bibechana-11687	9	24	chemistry	chemistry	NOUN
bibechana-11687	9	25	,	,	PUNCT
bibechana-11687	9	26	biology	biology	NOUN
bibechana-11687	9	27	,	,	PUNCT
bibechana-11687	9	28	mathematics	mathematic	NOUN
bibechana-11687	9	29	and	and	CCONJ
bibechana-11687	9	30	engineering	engineering	NOUN
bibechana-11687	9	31	.	.	PUNCT
bibechana-11687	10	1	nonlinear	nonlinear	ADJ
bibechana-11687	10	2	partial	partial	ADJ
bibechana-11687	10	3	differential	differential	NOUN
bibechana-11687	10	4	equations	equation	NOUN
bibechana-11687	10	5	[	[	X
bibechana-11687	10	6	1	1	NUM
bibechana-11687	10	7	-	-	SYM
bibechana-11687	10	8	29	29	NUM
bibechana-11687	10	9	]	]	PUNCT
bibechana-11687	10	10	are	be	AUX
bibechana-11687	10	11	of	of	ADP
bibechana-11687	10	12	extreme	extreme	ADJ
bibechana-11687	10	13	importance	importance	NOUN
bibechana-11687	10	14	.	.	PUNCT
bibechana-11687	11	1	recently	recently	ADV
bibechana-11687	11	2	,	,	PUNCT
bibechana-11687	11	3	scientists	scientist	NOUN
bibechana-11687	11	4	have	have	AUX
bibechana-11687	11	5	observed	observe	VERB
bibechana-11687	11	6	that	that	DET
bibechana-11687	11	7	number	number	NOUN
bibechana-11687	11	8	of	of	ADP
bibechana-11687	11	9	real	real	ADJ
bibechana-11687	11	10	time	time	NOUN
bibechana-11687	11	11	problems	problem	NOUN
bibechana-11687	11	12	is	be	AUX
bibechana-11687	11	13	modeled	model	VERB
bibechana-11687	11	14	by	by	ADP
bibechana-11687	11	15	fractional	fractional	ADJ
bibechana-11687	11	16	nonlinear	nonlinear	ADJ
bibechana-11687	11	17	differential	differential	ADJ
bibechana-11687	11	18	equations	equation	NOUN
bibechana-11687	12	1	[	[	X
bibechana-11687	12	2	4	4	NUM
bibechana-11687	12	3	-	-	SYM
bibechana-11687	12	4	5,7,10,19,21	5,7,10,19,21	NUM
bibechana-11687	12	5	-	-	SYM
bibechana-11687	12	6	25	25	NUM
bibechana-11687	12	7	]	]	PUNCT
bibechana-11687	12	8	which	which	PRON
bibechana-11687	12	9	are	be	AUX
bibechana-11687	12	10	very	very	ADV
bibechana-11687	12	11	hard	hard	ADJ
bibechana-11687	12	12	to	to	PART
bibechana-11687	12	13	tackle	tackle	VERB
bibechana-11687	12	14	.	.	PUNCT
bibechana-11687	13	1	transform	transform	NOUN
bibechana-11687	13	2	is	be	AUX
bibechana-11687	13	3	an	an	DET
bibechana-11687	13	4	important	important	ADJ
bibechana-11687	13	5	method	method	NOUN
bibechana-11687	13	6	to	to	PART
bibechana-11687	13	7	solve	solve	VERB
bibechana-11687	13	8	mathematical	mathematical	ADJ
bibechana-11687	13	9	problems	problem	NOUN
bibechana-11687	13	10	.	.	PUNCT
bibechana-11687	14	1	recently	recently	ADV
bibechana-11687	14	2	the	the	DET
bibechana-11687	14	3	fractional	fractional	ADJ
bibechana-11687	14	4	complex	complex	ADJ
bibechana-11687	14	5	transform	transform	NOUN
bibechana-11687	14	6	[	[	X
bibechana-11687	14	7	20	20	NUM
bibechana-11687	14	8	-	-	SYM
bibechana-11687	14	9	23	23	NUM
bibechana-11687	14	10	]	]	PUNCT
bibechana-11687	14	11	was	be	AUX
bibechana-11687	14	12	suggested	suggest	VERB
bibechana-11687	14	13	to	to	PART
bibechana-11687	14	14	convert	convert	VERB
bibechana-11687	14	15	fractional	fractional	ADJ
bibechana-11687	14	16	order	order	NOUN
bibechana-11687	14	17	differential	differential	ADJ
bibechana-11687	14	18	equations	equation	NOUN
bibechana-11687	14	19	with	with	ADP
bibechana-11687	14	20	modified	modified	ADJ
bibechana-11687	14	21	riemann	riemann	PROPN
bibechana-11687	14	22	-	-	PUNCT
bibechana-11687	14	23	liouville	liouville	VERB
bibechana-11687	14	24	derivatives	derivative	NOUN
bibechana-11687	14	25	[	[	PUNCT
bibechana-11687	14	26	24	24	NUM
bibechana-11687	14	27	-	-	SYM
bibechana-11687	14	28	25	25	NUM
bibechana-11687	14	29	]	]	PUNCT
bibechana-11687	14	30	into	into	ADP
bibechana-11687	14	31	integer	integer	NOUN
bibechana-11687	14	32	order	order	NOUN
bibechana-11687	14	33	differential	differential	ADJ
bibechana-11687	14	34	equations	equation	NOUN
bibechana-11687	14	35	,	,	PUNCT
bibechana-11687	14	36	and	and	CCONJ
bibechana-11687	14	37	the	the	DET
bibechana-11687	14	38	resultant	resultant	NOUN
bibechana-11687	14	39	equations	equation	NOUN
bibechana-11687	14	40	can	can	AUX
bibechana-11687	14	41	be	be	AUX
bibechana-11687	14	42	solved	solve	VERB
bibechana-11687	14	43	by	by	ADP
bibechana-11687	14	44	different	different	ADJ
bibechana-11687	14	45	methods	method	NOUN
bibechana-11687	14	46	.	.	PUNCT
bibechana-11687	15	1	this	this	DET
bibechana-11687	15	2	paper	paper	NOUN
bibechana-11687	15	3	is	be	AUX
bibechana-11687	15	4	devoted	devote	VERB
bibechana-11687	15	5	to	to	ADP
bibechana-11687	15	6	the	the	DET
bibechana-11687	15	7	study	study	NOUN
bibechana-11687	15	8	of	of	ADP
bibechana-11687	15	9	time	time	NOUN
bibechana-11687	15	10	-	-	PUNCT
bibechana-11687	15	11	fractional	fractional	ADJ
bibechana-11687	15	12	fornberg	fornberg	NOUN
bibechana-11687	15	13	-	-	PUNCT
bibechana-11687	15	14	whitham	whitham	NOUN
bibechana-11687	15	15	equation	equation	NOUN
bibechana-11687	15	16	,	,	PUNCT
bibechana-11687	15	17	modified	modify	VERB
bibechana-11687	15	18	time	time	NOUN
bibechana-11687	15	19	fractional	fractional	ADJ
bibechana-11687	15	20	fornberg	fornberg	PROPN
bibechana-11687	15	21	-	-	PUNCT
bibechana-11687	15	22	whitham	whitham	NOUN
bibechana-11687	15	23	equation	equation	NOUN
bibechana-11687	15	24	[	[	X
bibechana-11687	15	25	6	6	NUM
bibechana-11687	15	26	-	-	SYM
bibechana-11687	15	27	12	12	NUM
bibechana-11687	15	28	]	]	PUNCT
bibechana-11687	15	29	,	,	PUNCT
bibechana-11687	15	30	time	time	NOUN
bibechana-11687	15	31	-	-	PUNCT
bibechana-11687	15	32	fractional	fractional	ADJ
bibechana-11687	15	33	wu	wu	PROPN
bibechana-11687	15	34	-	-	PUNCT
bibechana-11687	15	35	zhang	zhang	PROPN
bibechana-11687	15	36	equation	equation	NOUN
bibechana-11687	15	37	[	[	X
bibechana-11687	15	38	24	24	NUM
bibechana-11687	15	39	,	,	PUNCT
bibechana-11687	15	40	25	25	NUM
bibechana-11687	15	41	]	]	PUNCT
bibechana-11687	15	42	.	.	PUNCT
bibechana-11687	16	1	the	the	DET
bibechana-11687	16	2	fornberg	fornberg	PROPN
bibechana-11687	16	3	–	–	PUNCT
bibechana-11687	16	4	whitham	whitham	NOUN
bibechana-11687	16	5	equation	equation	NOUN
bibechana-11687	16	6	was	be	AUX
bibechana-11687	16	7	first	first	ADV
bibechana-11687	16	8	proposed	propose	VERB
bibechana-11687	16	9	for	for	ADP
bibechana-11687	16	10	studying	study	VERB
bibechana-11687	16	11	the	the	DET
bibechana-11687	16	12	qualitative	qualitative	ADJ
bibechana-11687	16	13	behavior	behavior	NOUN
bibechana-11687	16	14	of	of	ADP
bibechana-11687	16	15	wave	wave	NOUN
bibechana-11687	16	16	breaking	breaking	NOUN
bibechana-11687	16	17	.	.	PUNCT
bibechana-11687	17	1	the	the	DET
bibechana-11687	17	2	time	time	NOUN
bibechana-11687	17	3	fractional	fractional	PROPN
bibechana-11687	17	4	fornberg	fornberg	PROPN
bibechana-11687	17	5	–	–	PUNCT
bibechana-11687	17	6	whitham	whitham	NOUN
bibechana-11687	17	7	equation	equation	NOUN
bibechana-11687	17	8	can	can	AUX
bibechana-11687	17	9	be	be	AUX
bibechana-11687	17	10	written	write	VERB
bibechana-11687	17	11	as	as	ADP
bibechana-11687	17	12	�	�	PROPN
bibechana-11687	17	13	�	�	PROPN
bibechana-11687	17	14	�	�	PROPN
bibechana-11687	17	15	�	�	PROPN
bibechana-11687	17	16	−	−	PROPN
bibechana-11687	17	17	�	�	PROPN
bibechana-11687	17	18	�	�	PROPN
bibechana-11687	17	19	�	�	PROPN
bibechana-11687	17	20	�	�	PROPN
bibechana-11687	17	21	+	+	SYM
bibechana-11687	17	22	�	�	PROPN
bibechana-11687	17	23	�	�	PROPN
bibechana-11687	17	24	=	=	SYM
bibechana-11687	17	25	�	�	PROPN
bibechana-11687	17	26	�	�	PROPN
bibechana-11687	17	27	�	�	PROPN
bibechana-11687	17	28	�	�	PROPN
bibechana-11687	17	29	�	�	PROPN
bibechana-11687	17	30	−	−	PROPN
bibechana-11687	17	31	�	�	PROPN
bibechana-11687	17	32	�	�	PROPN
bibechana-11687	17	33	�	�	PROPN
bibechana-11687	17	34	+	+	CCONJ
bibechana-11687	17	35	3	3	NUM
bibechana-11687	17	36	�	�	PROPN
bibechana-11687	17	37	�	�	PROPN
bibechana-11687	17	38	�	�	PROPN
bibechana-11687	17	39	�	�	PROPN
bibechana-11687	17	40	�	�	PROPN
bibechana-11687	17	41	,	,	PUNCT
bibechana-11687	17	42	�	�	PROPN
bibechana-11687	17	43	>	>	X
bibechana-11687	17	44	0	0	NUM
bibechana-11687	17	45	,	,	PUNCT
bibechana-11687	17	46	0	0	NUM
bibechana-11687	17	47	<	<	X
bibechana-11687	17	48	�	�	PROPN
bibechana-11687	17	49	≤	≤	PROPN
bibechana-11687	17	50	1	1	NUM
bibechana-11687	17	51	,	,	PUNCT
bibechana-11687	17	52	(	(	PUNCT
bibechana-11687	17	53	1	1	X
bibechana-11687	17	54	)	)	PUNCT
bibechana-11687	17	55	subject	subject	NOUN
bibechana-11687	17	56	to	to	ADP
bibechana-11687	17	57	the	the	DET
bibechana-11687	17	58	initial	initial	ADJ
bibechana-11687	17	59	conditions	condition	NOUN
bibechana-11687	17	60	ahmad	ahmad	NOUN
bibechana-11687	17	61	and	and	CCONJ
bibechana-11687	17	62	mohyud	mohyud	NOUN
bibechana-11687	17	63	-	-	PUNCT
bibechana-11687	17	64	din/	din/	NOUN
bibechana-11687	17	65	bibechana	bibechana	NOUN
bibechana-11687	17	66	12	12	NUM
bibechana-11687	17	67	(	(	PUNCT
bibechana-11687	17	68	2015	2015	NUM
bibechana-11687	17	69	)	)	PUNCT
bibechana-11687	17	70	59	59	NUM
bibechana-11687	17	71	-	-	SYM
bibechana-11687	17	72	69	69	NUM
bibechana-11687	17	73	:	:	PUNCT
bibechana-11687	18	1	p.	p.	NOUN
bibechana-11687	18	2	60	60	NUM
bibechana-11687	18	3	�	�	PROPN
bibechana-11687	18	4	�	�	PROPN
bibechana-11687	18	5	�	�	PROPN
bibechana-11687	18	6	,	,	PUNCT
bibechana-11687	18	7	0	0	NUM
bibechana-11687	18	8	�	�	PROPN
bibechana-11687	18	9	=	=	SYM
bibechana-11687	18	10	�	�	PROPN
bibechana-11687	18	11	�	�	PROPN
bibechana-11687	18	12	�	�	PROPN
bibechana-11687	18	13	�	�	PROPN
bibechana-11687	18	14	,	,	PUNCT
bibechana-11687	18	15	and	and	CCONJ
bibechana-11687	18	16	modifying	modify	VERB
bibechana-11687	18	17	the	the	DET
bibechana-11687	18	18	nonlinear	nonlinear	ADJ
bibechana-11687	18	19	term	term	NOUN
bibechana-11687	18	20	�	�	PROPN
bibechana-11687	18	21	�	�	PROPN
bibechana-11687	18	22	�	�	PROPN
bibechana-11687	18	23	in	in	ADP
bibechana-11687	18	24	eq	eq	NOUN
bibechana-11687	18	25	.	.	PUNCT
bibechana-11687	19	1	(	(	PUNCT
bibechana-11687	19	2	1	1	X
bibechana-11687	19	3	)	)	PUNCT
bibechana-11687	19	4	by	by	ADP
bibechana-11687	19	5	�	�	PROPN
bibechana-11687	19	6	�	�	PROPN
bibechana-11687	19	7	�	�	PROPN
bibechana-11687	19	8	�	�	PROPN
bibechana-11687	19	9	,	,	PUNCT
bibechana-11687	19	10	he	he	PRON
bibechana-11687	19	11	et	et	PROPN
bibechana-11687	19	12	al	al	PROPN
bibechana-11687	19	13	.	.	PROPN
bibechana-11687	19	14	proposed	propose	VERB
bibechana-11687	19	15	in	in	ADP
bibechana-11687	19	16	[	[	X
bibechana-11687	19	17	12	12	NUM
bibechana-11687	19	18	]	]	PUNCT
bibechana-11687	19	19	the	the	DET
bibechana-11687	19	20	modified	modify	VERB
bibechana-11687	19	21	time	time	NOUN
bibechana-11687	19	22	fractional	fractional	PROPN
bibechana-11687	19	23	fornberg	fornberg	PROPN
bibechana-11687	19	24	-	-	PUNCT
bibechana-11687	19	25	whitham	whitham	NOUN
bibechana-11687	19	26	equation	equation	NOUN
bibechana-11687	19	27	�	�	PROPN
bibechana-11687	19	28	�	�	PROPN
bibechana-11687	19	29	�	�	PROPN
bibechana-11687	19	30	�	�	PROPN
bibechana-11687	19	31	−	−	PROPN
bibechana-11687	19	32	�	�	PROPN
bibechana-11687	19	33	�	�	PROPN
bibechana-11687	19	34	�	�	PROPN
bibechana-11687	19	35	�	�	PROPN
bibechana-11687	19	36	+	+	SYM
bibechana-11687	19	37	�	�	PROPN
bibechana-11687	19	38	�	�	PROPN
bibechana-11687	19	39	=	=	SYM
bibechana-11687	19	40	�	�	PROPN
bibechana-11687	19	41	�	�	PROPN
bibechana-11687	19	42	�	�	PROPN
bibechana-11687	19	43	�	�	PROPN
bibechana-11687	19	44	�	�	PROPN
bibechana-11687	19	45	−	−	PROPN
bibechana-11687	19	46	�	�	PROPN
bibechana-11687	19	47	�	�	PROPN
bibechana-11687	19	48	�	�	PROPN
bibechana-11687	19	49	�	�	PROPN
bibechana-11687	19	50	+	+	CCONJ
bibechana-11687	19	51	3	3	NUM
bibechana-11687	19	52	�	�	PROPN
bibechana-11687	19	53	�	�	PROPN
bibechana-11687	19	54	�	�	PROPN
bibechana-11687	19	55	�	�	PROPN
bibechana-11687	19	56	�	�	PROPN
bibechana-11687	19	57	,	,	PUNCT
bibechana-11687	19	58	�	�	PROPN
bibechana-11687	19	59	>	>	X
bibechana-11687	19	60	0	0	NUM
bibechana-11687	19	61	,	,	PUNCT
bibechana-11687	19	62	0	0	NUM
bibechana-11687	19	63	<	<	X
bibechana-11687	19	64	�	�	PROPN
bibechana-11687	19	65	≤	≤	PROPN
bibechana-11687	19	66	1	1	NUM
bibechana-11687	19	67	,	,	PUNCT
bibechana-11687	19	68	(	(	PUNCT
bibechana-11687	19	69	2	2	NUM
bibechana-11687	19	70	)	)	PUNCT
bibechana-11687	19	71	and	and	CCONJ
bibechana-11687	19	72	time	time	NOUN
bibechana-11687	19	73	-	-	PUNCT
bibechana-11687	19	74	fractional	fractional	ADJ
bibechana-11687	19	75	wu	wu	PROPN
bibechana-11687	19	76	-	-	PUNCT
bibechana-11687	19	77	zhang	zhang	PROPN
bibechana-11687	19	78	equation	equation	PROPN
bibechana-11687	19	79	�	�	PROPN
bibechana-11687	19	80	�	�	PROPN
bibechana-11687	19	81	�	�	PROPN
bibechana-11687	19	82	�	�	PROPN
bibechana-11687	19	83	+	+	CCONJ
bibechana-11687	19	84	�	�	PROPN
bibechana-11687	19	85	�	�	PROPN
bibechana-11687	19	86	�	�	PROPN
bibechana-11687	19	87	+	+	CCONJ
bibechana-11687	19	88	�	�	PROPN
bibechana-11687	19	89	�	�	PROPN
bibechana-11687	19	90	�	�	PROPN
bibechana-11687	19	91	+	+	SYM
bibechana-11687	19	92	�	�	PROPN
bibechana-11687	19	93	�	�	PROPN
bibechana-11687	19	94	=	=	SYM
bibechana-11687	19	95	0	0	NUM
bibechana-11687	19	96	,	,	PUNCT
bibechana-11687	19	97	�	�	PROPN
bibechana-11687	19	98	�	�	PROPN
bibechana-11687	19	99	�	�	PROPN
bibechana-11687	19	100	�	�	PROPN
bibechana-11687	19	101	+	+	PROPN
bibechana-11687	19	102	�	�	PROPN
bibechana-11687	19	103	�	�	PROPN
bibechana-11687	19	104	�	�	PROPN
bibechana-11687	19	105	+	+	CCONJ
bibechana-11687	19	106	�	�	PROPN
bibechana-11687	19	107	�	�	PROPN
bibechana-11687	19	108	�	�	PROPN
bibechana-11687	19	109	+	+	SYM
bibechana-11687	19	110	�	�	PROPN
bibechana-11687	19	111	�	�	PROPN
bibechana-11687	19	112	=	=	SYM
bibechana-11687	19	113	0	0	NUM
bibechana-11687	19	114	,	,	PUNCT
bibechana-11687	19	115	0	0	NUM
bibechana-11687	19	116	<	<	X
bibechana-11687	19	117	�	�	PROPN
bibechana-11687	19	118	≤	≤	NUM
bibechana-11687	19	119	1	1	NUM
bibechana-11687	19	120	(	(	PUNCT
bibechana-11687	19	121	3	3	NUM
bibechana-11687	19	122	)	)	PUNCT
bibechana-11687	19	123	�	�	PROPN
bibechana-11687	19	124	�	�	PROPN
bibechana-11687	19	125	�	�	PROPN
bibechana-11687	19	126	�	�	PROPN
bibechana-11687	19	127	+	+	SYM
bibechana-11687	19	128	�	�	PROPN
bibechana-11687	19	129	�	�	PROPN
bibechana-11687	19	130	�	�	PROPN
bibechana-11687	19	131	�	�	PROPN
bibechana-11687	19	132	�	�	PROPN
bibechana-11687	19	133	+	+	SYM
bibechana-11687	19	134	�	�	PROPN
bibechana-11687	19	135	�	�	PROPN
bibechana-11687	19	136	�	�	PROPN
bibechana-11687	19	137	�	�	PROPN
bibechana-11687	19	138	�	�	PROPN
bibechana-11687	19	139	+	+	SYM
bibechana-11687	19	140	�	�	PROPN
bibechana-11687	19	141	�	�	PROPN
bibechana-11687	19	142	�	�	PROPN
bibechana-11687	19	143	�	�	PROPN
bibechana-11687	19	144	�	�	PROPN
bibechana-11687	19	145	�	�	PROPN
bibechana-11687	19	146	�	�	PROPN
bibechana-11687	19	147	+	+	SYM
bibechana-11687	19	148	�	�	PROPN
bibechana-11687	19	149	�	�	PROPN
bibechana-11687	19	150	�	�	PROPN
bibechana-11687	19	151	�	�	PROPN
bibechana-11687	19	152	+	+	SYM
bibechana-11687	19	153	�	�	PROPN
bibechana-11687	19	154	�	�	PROPN
bibechana-11687	19	155	�	�	PROPN
bibechana-11687	19	156	�	�	PROPN
bibechana-11687	19	157	+	+	SYM
bibechana-11687	19	158	�	�	PROPN
bibechana-11687	19	159	�	�	PROPN
bibechana-11687	19	160	�	�	PROPN
bibechana-11687	19	161	�	�	PROPN
bibechana-11687	19	162	�	�	PROPN
bibechana-11687	19	163	=	=	SYM
bibechana-11687	19	164	0	0	NUM
bibechana-11687	19	165	with	with	ADP
bibechana-11687	19	166	initial	initial	ADJ
bibechana-11687	19	167	conditions	condition	NOUN
bibechana-11687	19	168	�	�	PROPN
bibechana-11687	19	169	�	�	PROPN
bibechana-11687	19	170	�	�	PROPN
bibechana-11687	19	171	,	,	PUNCT
bibechana-11687	19	172	�	�	PROPN
bibechana-11687	19	173	,	,	PUNCT
bibechana-11687	19	174	0	0	NUM
bibechana-11687	19	175	�	�	PROPN
bibechana-11687	19	176	=	=	SYM
bibechana-11687	19	177	�	�	PROPN
bibechana-11687	19	178	�	�	PROPN
bibechana-11687	19	179	�	�	PROPN
bibechana-11687	19	180	�	�	PROPN
bibechana-11687	19	181	,	,	PUNCT
bibechana-11687	19	182	�	�	PROPN
bibechana-11687	19	183	�	�	PROPN
bibechana-11687	19	184	,	,	PUNCT
bibechana-11687	19	185	�	�	PROPN
bibechana-11687	19	186	�	�	PROPN
bibechana-11687	19	187	�	�	PROPN
bibechana-11687	19	188	,	,	PUNCT
bibechana-11687	19	189	�	�	PROPN
bibechana-11687	19	190	,	,	PUNCT
bibechana-11687	19	191	0	0	NUM
bibechana-11687	19	192	�	�	PROPN
bibechana-11687	19	193	=	=	SYM
bibechana-11687	19	194	�	�	PROPN
bibechana-11687	19	195	�	�	PROPN
bibechana-11687	19	196	�	�	PROPN
bibechana-11687	19	197	�	�	PROPN
bibechana-11687	19	198	,	,	PUNCT
bibechana-11687	19	199	�	�	PROPN
bibechana-11687	19	200	�	�	PROPN
bibechana-11687	19	201	,	,	PUNCT
bibechana-11687	19	202	�	�	PROPN
bibechana-11687	19	203	�	�	PROPN
bibechana-11687	19	204	�	�	PROPN
bibechana-11687	19	205	,	,	PUNCT
bibechana-11687	19	206	�	�	PROPN
bibechana-11687	19	207	,	,	PUNCT
bibechana-11687	19	208	0	0	NUM
bibechana-11687	19	209	�	�	PROPN
bibechana-11687	19	210	=	=	SYM
bibechana-11687	19	211	�	�	PROPN
bibechana-11687	19	212	�	�	PROPN
bibechana-11687	19	213	�	�	PROPN
bibechana-11687	19	214	�	�	PROPN
bibechana-11687	19	215	,	,	PUNCT
bibechana-11687	19	216	�	�	PROPN
bibechana-11687	19	217	�	�	PROPN
bibechana-11687	19	218	.	.	PUNCT
bibechana-11687	20	1	where	where	SCONJ
bibechana-11687	20	2	w	w	NOUN
bibechana-11687	20	3	is	be	AUX
bibechana-11687	20	4	the	the	DET
bibechana-11687	20	5	elevation	elevation	NOUN
bibechana-11687	20	6	of	of	ADP
bibechana-11687	20	7	the	the	DET
bibechana-11687	20	8	water	water	NOUN
bibechana-11687	20	9	,	,	PUNCT
bibechana-11687	20	10	u	u	NOUN
bibechana-11687	20	11	is	be	AUX
bibechana-11687	20	12	the	the	DET
bibechana-11687	20	13	surface	surface	NOUN
bibechana-11687	20	14	velocity	velocity	NOUN
bibechana-11687	20	15	of	of	ADP
bibechana-11687	20	16	water	water	NOUN
bibechana-11687	20	17	along	along	ADP
bibechana-11687	20	18	x	x	SYM
bibechana-11687	20	19	-direction	-direction	NOUN
bibechana-11687	20	20	,	,	PUNCT
bibechana-11687	20	21	and	and	CCONJ
bibechana-11687	20	22	v	v	NOUN
bibechana-11687	20	23	is	be	AUX
bibechana-11687	20	24	the	the	DET
bibechana-11687	20	25	surface	surface	NOUN
bibechana-11687	20	26	velocity	velocity	NOUN
bibechana-11687	20	27	of	of	ADP
bibechana-11687	20	28	water	water	NOUN
bibechana-11687	20	29	along	along	ADP
bibechana-11687	20	30	y	y	NOUN
bibechana-11687	20	31	-	-	PUNCT
bibechana-11687	20	32	direction	direction	NOUN
bibechana-11687	20	33	.	.	PUNCT
bibechana-11687	21	1	wu	wu	PROPN
bibechana-11687	21	2	and	and	CCONJ
bibechana-11687	21	3	zhang	zhang	PROPN
bibechana-11687	21	4	derived	derive	VERB
bibechana-11687	21	5	three	three	NUM
bibechana-11687	21	6	sets	set	NOUN
bibechana-11687	21	7	of	of	ADP
bibechana-11687	21	8	model	model	NOUN
bibechana-11687	21	9	equations	equation	NOUN
bibechana-11687	21	10	for	for	ADP
bibechana-11687	21	11	modeling	model	VERB
bibechana-11687	21	12	nonlinear	nonlinear	ADJ
bibechana-11687	21	13	and	and	CCONJ
bibechana-11687	21	14	dispersive	dispersive	ADJ
bibechana-11687	21	15	long	long	ADJ
bibechana-11687	21	16	gravity	gravity	NOUN
bibechana-11687	21	17	waves	wave	NOUN
bibechana-11687	21	18	travelling	travel	VERB
bibechana-11687	21	19	in	in	ADP
bibechana-11687	21	20	two	two	NUM
bibechana-11687	21	21	horizontal	horizontal	ADJ
bibechana-11687	21	22	directions	direction	NOUN
bibechana-11687	21	23	on	on	ADP
bibechana-11687	21	24	shallow	shallow	ADJ
bibechana-11687	21	25	waters	water	NOUN
bibechana-11687	21	26	of	of	ADP
bibechana-11687	21	27	uniform	uniform	ADJ
bibechana-11687	21	28	depth	depth	NOUN
bibechana-11687	21	29	.	.	PUNCT
bibechana-11687	22	1	eq	eq	ADJ
bibechana-11687	22	2	.	.	PUNCT
bibechana-11687	23	1	(	(	PUNCT
bibechana-11687	23	2	3	3	X
bibechana-11687	23	3	)	)	PUNCT
bibechana-11687	23	4	is	be	AUX
bibechana-11687	23	5	one	one	NUM
bibechana-11687	23	6	of	of	ADP
bibechana-11687	23	7	these	these	DET
bibechana-11687	23	8	equations	equation	NOUN
bibechana-11687	23	9	,	,	PUNCT
bibechana-11687	23	10	wu	wu	PROPN
bibechana-11687	23	11	-	-	PUNCT
bibechana-11687	23	12	zhang	zhang	PROPN
bibechana-11687	23	13	equation	equation	NOUN
bibechana-11687	23	14	(	(	PUNCT
bibechana-11687	23	15	which	which	PRON
bibechana-11687	23	16	describes	describe	VERB
bibechana-11687	23	17	(	(	PUNCT
bibechana-11687	23	18	2	2	NUM
bibechana-11687	23	19	+	+	NOUN
bibechana-11687	23	20	1)-dimensional	1)-dimensional	NUM
bibechana-11687	23	21	dispersive	dispersive	ADJ
bibechana-11687	23	22	long	long	ADJ
bibechana-11687	23	23	wave	wave	NOUN
bibechana-11687	23	24	)	)	PUNCT
bibechana-11687	23	25	.	.	PUNCT
bibechana-11687	24	1	the	the	DET
bibechana-11687	24	2	fractional	fractional	ADJ
bibechana-11687	24	3	derivatives	derivative	NOUN
bibechana-11687	24	4	are	be	AUX
bibechana-11687	24	5	considered	consider	VERB
bibechana-11687	24	6	in	in	ADP
bibechana-11687	24	7	the	the	DET
bibechana-11687	24	8	jumarie	jumarie	PROPN
bibechana-11687	24	9	sense	sense	NOUN
bibechana-11687	24	10	.	.	PUNCT
bibechana-11687	25	1	the	the	DET
bibechana-11687	25	2	basic	basic	ADJ
bibechana-11687	25	3	motivation	motivation	NOUN
bibechana-11687	25	4	of	of	ADP
bibechana-11687	25	5	this	this	DET
bibechana-11687	25	6	paper	paper	NOUN
bibechana-11687	25	7	is	be	AUX
bibechana-11687	25	8	the	the	DET
bibechana-11687	25	9	extension	extension	NOUN
bibechana-11687	25	10	of	of	ADP
bibechana-11687	25	11	a	a	DET
bibechana-11687	25	12	very	very	ADV
bibechana-11687	25	13	reliable	reliable	ADJ
bibechana-11687	25	14	and	and	CCONJ
bibechana-11687	25	15	efficient	efficient	ADJ
bibechana-11687	25	16	technique	technique	NOUN
bibechana-11687	25	17	namely	namely	ADV
bibechana-11687	25	18	variational	variational	ADJ
bibechana-11687	25	19	iteration	iteration	NOUN
bibechana-11687	25	20	method	method	NOUN
bibechana-11687	25	21	using	use	VERB
bibechana-11687	25	22	complex	complex	ADJ
bibechana-11687	25	23	transform	transform	NOUN
bibechana-11687	25	24	(	(	PUNCT
bibechana-11687	25	25	vimct	vimct	NOUN
bibechana-11687	25	26	)	)	PUNCT
bibechana-11687	25	27	to	to	PART
bibechana-11687	25	28	find	find	VERB
bibechana-11687	25	29	approximate	approximate	ADJ
bibechana-11687	25	30	solutions	solution	NOUN
bibechana-11687	25	31	of	of	ADP
bibechana-11687	25	32	time	time	NOUN
bibechana-11687	25	33	-	-	PUNCT
bibechana-11687	25	34	fractional	fractional	ADJ
bibechana-11687	25	35	fornberg	fornberg	NOUN
bibechana-11687	25	36	-	-	PUNCT
bibechana-11687	25	37	whitham	whitham	NOUN
bibechana-11687	25	38	and	and	CCONJ
bibechana-11687	25	39	system	system	NOUN
bibechana-11687	25	40	of	of	ADP
bibechana-11687	25	41	time	time	NOUN
bibechana-11687	25	42	-	-	PUNCT
bibechana-11687	25	43	fractional	fractional	ADJ
bibechana-11687	25	44	wu	wu	PROPN
bibechana-11687	25	45	-	-	PUNCT
bibechana-11687	25	46	zhang	zhang	PROPN
bibechana-11687	25	47	equations	equation	NOUN
bibechana-11687	25	48	.	.	PUNCT
bibechana-11687	26	1	the	the	DET
bibechana-11687	26	2	convergence	convergence	NOUN
bibechana-11687	26	3	of	of	ADP
bibechana-11687	26	4	the	the	DET
bibechana-11687	26	5	proposed	propose	VERB
bibechana-11687	26	6	variational	variational	ADJ
bibechana-11687	26	7	iteration	iteration	NOUN
bibechana-11687	26	8	method	method	NOUN
bibechana-11687	26	9	using	use	VERB
bibechana-11687	26	10	fractional	fractional	ADJ
bibechana-11687	26	11	derivative	derivative	NOUN
bibechana-11687	26	12	is	be	AUX
bibechana-11687	26	13	addressed	address	VERB
bibechana-11687	26	14	in	in	ADP
bibechana-11687	26	15	[	[	PUNCT
bibechana-11687	26	16	28	28	NUM
bibechana-11687	26	17	-	-	SYM
bibechana-11687	26	18	29	29	NUM
bibechana-11687	26	19	]	]	PUNCT
bibechana-11687	26	20	.	.	PUNCT
bibechana-11687	27	1	it	it	PRON
bibechana-11687	27	2	is	be	AUX
bibechana-11687	27	3	observed	observe	VERB
bibechana-11687	27	4	that	that	SCONJ
bibechana-11687	27	5	the	the	DET
bibechana-11687	27	6	proposed	propose	VERB
bibechana-11687	27	7	algorithms	algorithms	NOUN
bibechana-11687	27	8	is	be	AUX
bibechana-11687	27	9	fully	fully	ADV
bibechana-11687	27	10	synchronized	synchronize	VERB
bibechana-11687	27	11	with	with	ADP
bibechana-11687	27	12	the	the	DET
bibechana-11687	27	13	complexity	complexity	NOUN
bibechana-11687	27	14	of	of	ADP
bibechana-11687	27	15	fractional	fractional	ADJ
bibechana-11687	27	16	differential	differential	ADJ
bibechana-11687	27	17	equations	equation	NOUN
bibechana-11687	27	18	,	,	PUNCT
bibechana-11687	27	19	numerical	numerical	ADJ
bibechana-11687	27	20	results	result	NOUN
bibechana-11687	27	21	coupled	couple	VERB
bibechana-11687	27	22	with	with	ADP
bibechana-11687	27	23	graphical	graphical	ADJ
bibechana-11687	27	24	representations	representation	NOUN
bibechana-11687	27	25	explicitly	explicitly	ADV
bibechana-11687	27	26	reveal	reveal	VERB
bibechana-11687	27	27	the	the	DET
bibechana-11687	27	28	complete	complete	ADJ
bibechana-11687	27	29	reliability	reliability	NOUN
bibechana-11687	27	30	and	and	CCONJ
bibechana-11687	27	31	efficiency	efficiency	NOUN
bibechana-11687	27	32	of	of	ADP
bibechana-11687	27	33	the	the	DET
bibechana-11687	27	34	proposed	propose	VERB
bibechana-11687	27	35	algorithm	algorithm	NOUN
bibechana-11687	27	36	.	.	PUNCT
bibechana-11687	28	1	2	2	X
bibechana-11687	28	2	.	.	X
bibechana-11687	28	3	definitions	definition	NOUN
bibechana-11687	28	4	definition	definition	NOUN
bibechana-11687	28	5	2.1	2.1	NUM
bibechana-11687	28	6	jumarie	jumarie	PROPN
bibechana-11687	28	7	’s	’s	PART
bibechana-11687	28	8	fractional	fractional	ADJ
bibechana-11687	28	9	derivative	derivative	ADJ
bibechana-11687	29	1	[	[	X
bibechana-11687	29	2	24	24	NUM
bibechana-11687	29	3	-	-	SYM
bibechana-11687	29	4	25	25	NUM
bibechana-11687	29	5	]	]	PUNCT
bibechana-11687	29	6	is	be	AUX
bibechana-11687	29	7	a	a	DET
bibechana-11687	29	8	modified	modify	VERB
bibechana-11687	29	9	riemann	riemann	NOUN
bibechana-11687	29	10	-	-	PUNCT
bibechana-11687	29	11	liouville	liouville	VERB
bibechana-11687	29	12	derivative	derivative	NOUN
bibechana-11687	29	13	defied	defy	VERB
bibechana-11687	29	14	as	as	ADP
bibechana-11687	29	15	�	�	PROPN
bibechana-11687	29	16	�	�	PROPN
bibechana-11687	29	17	�	�	PROPN
bibechana-11687	29	18	�	�	PROPN
bibechana-11687	29	19	�	�	PROPN
bibechana-11687	29	20	�	�	PROPN
bibechana-11687	29	21	�	�	PROPN
bibechana-11687	29	22	=	=	PROPN
bibechana-11687	29	23	&	&	CCONJ
bibechana-11687	29	24	'	'	PROPN
bibechana-11687	29	25	(	(	PUNCT
bibechana-11687	29	26	'	'	PUNCT
bibechana-11687	29	27	)	)	PUNCT
bibechana-11687	29	28	�	�	PROPN
bibechana-11687	29	29	γ	γ	PROPN
bibechana-11687	29	30	�	�	PROPN
bibechana-11687	29	31	*α	*α	PROPN
bibechana-11687	29	32	�	�	PROPN
bibechana-11687	29	33	+	+	PROPN
bibechana-11687	29	34	�	�	PROPN
bibechana-11687	29	35	x	x	PUNCT
bibechana-11687	29	36	−	−	PROPN
bibechana-11687	29	37	t	t	PROPN
bibechana-11687	29	38	�	�	PROPN
bibechana-11687	29	39	*α*	*α*	PROPN
bibechana-11687	29	40	�	�	PROPN
bibechana-11687	29	41	�	�	PROPN
bibechana-11687	29	42	f	f	PROPN
bibechana-11687	29	43	�	�	PROPN
bibechana-11687	29	44	t	t	PROPN
bibechana-11687	29	45	�	�	PROPN
bibechana-11687	29	46	−	−	PROPN
bibechana-11687	29	47	f	f	X
bibechana-11687	29	48	�	�	PROPN
bibechana-11687	29	49	0	0	NUM
bibechana-11687	29	50	�	�	PROPN
bibechana-11687	29	51	�	�	PROPN
bibechana-11687	29	52	dt	dt	PROPN
bibechana-11687	29	53	,	,	PUNCT
bibechana-11687	29	54	α	α	X
bibechana-11687	29	55	<	<	X
bibechana-11687	29	56	0	0	NUM
bibechana-11687	29	57	/0	/0	NOUN
bibechana-11687	29	58	,	,	PUNCT
bibechana-11687	29	59	�	�	PROPN
bibechana-11687	29	60	γ	γ	PROPN
bibechana-11687	29	61	�	�	PROPN
bibechana-11687	29	62	�	�	PROPN
bibechana-11687	29	63	*α	*α	PROPN
bibechana-11687	29	64	�	�	PROPN
bibechana-11687	29	65	11/	11/	NUM
bibechana-11687	29	66	+	+	NUM
bibechana-11687	29	67	�	�	PROPN
bibechana-11687	29	68	x	x	PUNCT
bibechana-11687	29	69	−	−	PROPN
bibechana-11687	29	70	t	t	PROPN
bibechana-11687	29	71	�	�	PROPN
bibechana-11687	29	72	*α	*α	PROPN
bibechana-11687	29	73	�	�	PROPN
bibechana-11687	29	74	f	f	PROPN
bibechana-11687	29	75	�	�	PROPN
bibechana-11687	29	76	t	t	PROPN
bibechana-11687	29	77	�	�	PROPN
bibechana-11687	29	78	−	−	PROPN
bibechana-11687	29	79	f	f	X
bibechana-11687	29	80	�	�	PROPN
bibechana-11687	29	81	0	0	NUM
bibechana-11687	29	82	�	�	PROPN
bibechana-11687	29	83	�	�	PROPN
bibechana-11687	29	84	dt	dt	PROPN
bibechana-11687	29	85	,	,	PUNCT
bibechana-11687	29	86	0	0	NUM
bibechana-11687	29	87	<	<	X
bibechana-11687	29	88	α	α	X
bibechana-11687	29	89	<	<	X
bibechana-11687	29	90	1,/0	1,/0	NUM
bibechana-11687	29	91	�	�	PROPN
bibechana-11687	29	92	f	f	PROPN
bibechana-11687	29	93	α*2	α*2	PROPN
bibechana-11687	29	94	�	�	PROPN
bibechana-11687	29	95	x	x	SYM
bibechana-11687	29	96	�	�	PROPN
bibechana-11687	29	97	�	�	PROPN
bibechana-11687	29	98	2	2	NUM
bibechana-11687	29	99	n	n	PRON
bibechana-11687	29	100	≤	≤	NOUN
bibechana-11687	29	101	α	α	PRON
bibechana-11687	29	102	<	<	X
bibechana-11687	29	103	4	4	NUM
bibechana-11687	29	104	+	+	SYM
bibechana-11687	29	105	1	1	NUM
bibechana-11687	29	106	,	,	PUNCT
bibechana-11687	29	107	4	4	NUM
bibechana-11687	29	108	≥	≥	NOUN
bibechana-11687	29	109	1	1	NUM
bibechana-11687	29	110	.	.	NOUN
bibechana-11687	29	111	6	6	NUM
bibechana-11687	29	112	(	(	PUNCT
bibechana-11687	29	113	4	4	NUM
bibechana-11687	29	114	)	)	PUNCT
bibechana-11687	29	115	where	where	SCONJ
bibechana-11687	29	116	�	�	NOUN
bibechana-11687	29	117	:	:	PUNCT
bibechana-11687	29	118	8	8	NUM
bibechana-11687	29	119	→	→	SYM
bibechana-11687	29	120	8	8	NUM
bibechana-11687	29	121	,	,	PUNCT
bibechana-11687	29	122	�	�	PROPN
bibechana-11687	29	123	→	→	SYM
bibechana-11687	29	124	�	�	PROPN
bibechana-11687	29	125	�	�	PROPN
bibechana-11687	29	126	�	�	PROPN
bibechana-11687	29	127	�	�	PROPN
bibechana-11687	29	128	denotes	denote	VERB
bibechana-11687	29	129	a	a	DET
bibechana-11687	29	130	continous	continous	ADJ
bibechana-11687	29	131	(	(	PUNCT
bibechana-11687	29	132	but	but	CCONJ
bibechana-11687	29	133	not	not	PART
bibechana-11687	29	134	necessarily	necessarily	ADV
bibechana-11687	29	135	differentiable	differentiable	ADJ
bibechana-11687	29	136	)	)	PUNCT
bibechana-11687	29	137	function	function	NOUN
bibechana-11687	29	138	.	.	PUNCT
bibechana-11687	30	1	some	some	DET
bibechana-11687	30	2	useful	useful	ADJ
bibechana-11687	30	3	formulas	formula	NOUN
bibechana-11687	30	4	and	and	CCONJ
bibechana-11687	30	5	results	result	NOUN
bibechana-11687	30	6	of	of	ADP
bibechana-11687	30	7	jumarie	jumarie	PROPN
bibechana-11687	30	8	’s	’s	PART
bibechana-11687	30	9	modified	modify	VERB
bibechana-11687	30	10	riemann	riemann	PROPN
bibechana-11687	30	11	-	-	PUNCT
bibechana-11687	30	12	liouville	liouville	VERB
bibechana-11687	30	13	derivatives	derivative	NOUN
bibechana-11687	30	14	are	be	AUX
bibechana-11687	30	15	as	as	SCONJ
bibechana-11687	30	16	follows	follow	VERB
bibechana-11687	30	17	:	:	PUNCT
bibechana-11687	30	18	�	�	PROPN
bibechana-11687	30	19	�	�	PROPN
bibechana-11687	30	20	�	�	PROPN
bibechana-11687	30	21	:	:	PUNCT
bibechana-11687	30	22	=	=	SYM
bibechana-11687	30	23	0	0	NUM
bibechana-11687	30	24	,	,	PUNCT
bibechana-11687	30	25	�	�	PROPN
bibechana-11687	30	26	>	>	X
bibechana-11687	30	27	0	0	PROPN
bibechana-11687	30	28	,	,	PUNCT
bibechana-11687	30	29	:	:	PUNCT
bibechana-11687	30	30	=	=	X
bibechana-11687	30	31	:	:	PUNCT
bibechana-11687	30	32	;	;	PUNCT
bibechana-11687	30	33	4<	4<	NUM
bibechana-11687	30	34	�	�	PROPN
bibechana-11687	30	35	=4	=4	PROPN
bibechana-11687	30	36	�	�	PROPN
bibechana-11687	30	37	.	.	PUNCT
bibechana-11687	31	1	(	(	PUNCT
bibechana-11687	31	2	5	5	NUM
bibechana-11687	31	3	)	)	PUNCT
bibechana-11687	31	4	�	�	PROPN
bibechana-11687	31	5	�	�	PROPN
bibechana-11687	31	6	�	�	PROPN
bibechana-11687	31	7	>	>	NOUN
bibechana-11687	31	8	:	:	PUNCT
bibechana-11687	31	9	�	�	PROPN
bibechana-11687	31	10	�	�	PROPN
bibechana-11687	31	11	�	�	PROPN
bibechana-11687	31	12	�	�	PROPN
bibechana-11687	31	13	?	?	PUNCT
bibechana-11687	32	1	=	=	PRON
bibechana-11687	32	2	:	:	PUNCT
bibechana-11687	32	3	�	�	PROPN
bibechana-11687	32	4	�	�	PROPN
bibechana-11687	32	5	�	�	PROPN
bibechana-11687	32	6	�	�	PROPN
bibechana-11687	32	7	�	�	PROPN
bibechana-11687	32	8	�	�	PROPN
bibechana-11687	32	9	�	�	PROPN
bibechana-11687	32	10	,	,	PUNCT
bibechana-11687	32	11	�	�	PROPN
bibechana-11687	32	12	>	>	X
bibechana-11687	32	13	0	0	PROPN
bibechana-11687	32	14	,	,	PUNCT
bibechana-11687	32	15	:	:	PUNCT
bibechana-11687	32	16	=	=	X
bibechana-11687	32	17	:	:	PUNCT
bibechana-11687	32	18	;	;	PUNCT
bibechana-11687	32	19	<	<	X
bibechana-11687	32	20	4	4	NUM
bibechana-11687	32	21	�	�	PROPN
bibechana-11687	32	22	=4	=4	NOUN
bibechana-11687	32	23	�	�	PROPN
bibechana-11687	32	24	.	.	PUNCT
bibechana-11687	33	1	(	(	PUNCT
bibechana-11687	33	2	6	6	X
bibechana-11687	33	3	)	)	PUNCT
bibechana-11687	33	4	ahmad	ahmad	NOUN
bibechana-11687	33	5	and	and	CCONJ
bibechana-11687	33	6	mohyud	mohyud	NOUN
bibechana-11687	33	7	-	-	PUNCT
bibechana-11687	33	8	din/	din/	NOUN
bibechana-11687	33	9	bibechana	bibechana	NOUN
bibechana-11687	33	10	12	12	NUM
bibechana-11687	33	11	(	(	PUNCT
bibechana-11687	33	12	2015	2015	NUM
bibechana-11687	33	13	)	)	PUNCT
bibechana-11687	33	14	59	59	NUM
bibechana-11687	33	15	-	-	SYM
bibechana-11687	33	16	69	69	NUM
bibechana-11687	33	17	:	:	PUNCT
bibechana-11687	34	1	p.	p.	NOUN
bibechana-11687	34	2	61	61	NUM
bibechana-11687	34	3	�	�	PROPN
bibechana-11687	34	4	�	�	PROPN
bibechana-11687	34	5	�	�	PROPN
bibechana-11687	34	6	�	�	PROPN
bibechana-11687	34	7	@	@	ADP
bibechana-11687	34	8	=	=	SYM
bibechana-11687	34	9	γ	γ	X
bibechana-11687	34	10	�	�	PROPN
bibechana-11687	34	11	�	�	PROPN
bibechana-11687	34	12	a	a	DET
bibechana-11687	34	13	�	�	PROPN
bibechana-11687	34	14	�	�	PROPN
bibechana-11687	34	15	�	�	PROPN
bibechana-11687	34	16	bcd	bcd	PROPN
bibechana-11687	34	17	γ	γ	PROPN
bibechana-11687	34	18	�	�	PROPN
bibechana-11687	34	19	�	�	PROPN
bibechana-11687	34	20	a@	a@	NOUN
bibechana-11687	34	21	*	*	PUNCT
bibechana-11687	34	22	�	�	PROPN
bibechana-11687	34	23	�	�	PROPN
bibechana-11687	34	24	,	,	PUNCT
bibechana-11687	34	25	e	e	X
bibechana-11687	34	26	>	>	X
bibechana-11687	34	27	�	�	PROPN
bibechana-11687	34	28	>	>	X
bibechana-11687	34	29	0	0	PROPN
bibechana-11687	34	30	.	.	PUNCT
bibechana-11687	35	1	(	(	PUNCT
bibechana-11687	35	2	7	7	X
bibechana-11687	35	3	)	)	PUNCT
bibechana-11687	35	4	�	�	PROPN
bibechana-11687	35	5	�	�	PROPN
bibechana-11687	35	6	�	�	PROPN
bibechana-11687	35	7	>	>	SYM
bibechana-11687	35	8	�	�	PROPN
bibechana-11687	35	9	�	�	PROPN
bibechana-11687	35	10	�	�	PROPN
bibechana-11687	35	11	�	�	PROPN
bibechana-11687	35	12	f	f	PROPN
bibechana-11687	35	13	�	�	PROPN
bibechana-11687	35	14	�	�	PROPN
bibechana-11687	35	15	�	�	PROPN
bibechana-11687	35	16	?	?	PUNCT
bibechana-11687	36	1	=	=	PRON
bibechana-11687	36	2	>	>	PUNCT
bibechana-11687	36	3	�	�	PROPN
bibechana-11687	36	4	�	�	PROPN
bibechana-11687	36	5	�	�	PROPN
bibechana-11687	36	6	�	�	PROPN
bibechana-11687	36	7	�	�	PROPN
bibechana-11687	36	8	�	�	PROPN
bibechana-11687	36	9	�	�	PROPN
bibechana-11687	36	10	?	?	PUNCT
bibechana-11687	37	1	f	f	PROPN
bibechana-11687	37	2	�	�	PROPN
bibechana-11687	37	3	�	�	PROPN
bibechana-11687	37	4	�	�	PROPN
bibechana-11687	37	5	+	+	SYM
bibechana-11687	37	6	�	�	PROPN
bibechana-11687	37	7	�	�	PROPN
bibechana-11687	37	8	�	�	PROPN
bibechana-11687	37	9	�	�	PROPN
bibechana-11687	37	10	>	>	SYM
bibechana-11687	37	11	�	�	PROPN
bibechana-11687	37	12	�	�	PROPN
bibechana-11687	37	13	�	�	PROPN
bibechana-11687	37	14	f	f	PROPN
bibechana-11687	37	15	�	�	PROPN
bibechana-11687	37	16	�	�	PROPN
bibechana-11687	37	17	�	�	PROPN
bibechana-11687	37	18	?	?	PUNCT
bibechana-11687	37	19	.	.	PUNCT
bibechana-11687	38	1	(	(	PUNCT
bibechana-11687	38	2	8)	8)	NUM
bibechana-11687	38	3	�	�	PROPN
bibechana-11687	38	4	�	�	PROPN
bibechana-11687	38	5	�	�	PROPN
bibechana-11687	38	6	�	�	PROPN
bibechana-11687	38	7	�	�	PROPN
bibechana-11687	38	8	�	�	PROPN
bibechana-11687	38	9	�	�	PROPN
bibechana-11687	38	10	�	�	PROPN
bibechana-11687	38	11	�	�	PROPN
bibechana-11687	38	12	�	�	PROPN
bibechana-11687	38	13	=	=	SYM
bibechana-11687	38	14	�	�	PROPN
bibechana-11687	38	15	�	�	PROPN
bibechana-11687	38	16	̀	̀	PROPN
bibechana-11687	38	17	�	�	PROPN
bibechana-11687	38	18	�	�	PROPN
bibechana-11687	38	19	�	�	PROPN
bibechana-11687	38	20	.	.	PUNCT
bibechana-11687	38	21	�	�	PROPN
bibechana-11687	38	22	�	�	PROPN
bibechana-11687	38	23	�	�	PROPN
bibechana-11687	38	24	�	�	PROPN
bibechana-11687	38	25	�	�	PROPN
bibechana-11687	38	26	.	.	PUNCT
bibechana-11687	39	1	(	(	PUNCT
bibechana-11687	39	2	9	9	NUM
bibechana-11687	39	3	)	)	SYM
bibechana-11687	39	4	3	3	NUM
bibechana-11687	39	5	.	.	PUNCT
bibechana-11687	39	6	variational	variational	ADJ
bibechana-11687	39	7	iteration	iteration	NOUN
bibechana-11687	39	8	method	method	NOUN
bibechana-11687	39	9	(	(	PUNCT
bibechana-11687	39	10	vim	vim	NOUN
bibechana-11687	39	11	)	)	PUNCT
bibechana-11687	39	12	using	use	VERB
bibechana-11687	39	13	complex	complex	ADJ
bibechana-11687	39	14	transform	transform	VERB
bibechana-11687	39	15	the	the	DET
bibechana-11687	39	16	nonlinear	nonlinear	ADJ
bibechana-11687	39	17	differential	differential	ADJ
bibechana-11687	39	18	equations	equation	NOUN
bibechana-11687	39	19	[	[	X
bibechana-11687	39	20	13	13	NUM
bibechana-11687	39	21	-	-	SYM
bibechana-11687	39	22	16	16	NUM
bibechana-11687	39	23	]	]	PUNCT
bibechana-11687	39	24	can	can	AUX
bibechana-11687	39	25	be	be	AUX
bibechana-11687	39	26	expressed	express	VERB
bibechana-11687	39	27	in	in	ADP
bibechana-11687	39	28	the	the	DET
bibechana-11687	39	29	operator	operator	NOUN
bibechana-11687	39	30	form	form	NOUN
bibechana-11687	39	31	as	as	ADP
bibechana-11687	39	32	�	�	PROPN
bibechana-11687	39	33	�	�	PROPN
bibechana-11687	39	34	�	�	PROPN
bibechana-11687	39	35	�	�	PROPN
bibechana-11687	39	36	�	�	PROPN
bibechana-11687	39	37	�	�	PROPN
bibechana-11687	39	38	�	�	PROPN
bibechana-11687	39	39	,	,	PUNCT
bibechana-11687	39	40	�	�	PROPN
bibechana-11687	39	41	�	�	PROPN
bibechana-11687	39	42	�	�	PROPN
bibechana-11687	39	43	+	+	CCONJ
bibechana-11687	39	44	8	8	NUM
bibechana-11687	39	45	�	�	PROPN
bibechana-11687	39	46	�	�	PROPN
bibechana-11687	39	47	�	�	PROPN
bibechana-11687	39	48	�	�	PROPN
bibechana-11687	39	49	,	,	PUNCT
bibechana-11687	39	50	�	�	PROPN
bibechana-11687	39	51	�	�	PROPN
bibechana-11687	39	52	�	�	PROPN
bibechana-11687	39	53	+	+	CCONJ
bibechana-11687	39	54	h	h	PROPN
bibechana-11687	39	55	�	�	PROPN
bibechana-11687	39	56	�	�	PROPN
bibechana-11687	39	57	�	�	PROPN
bibechana-11687	39	58	�	�	PROPN
bibechana-11687	39	59	,	,	PUNCT
bibechana-11687	39	60	�	�	PROPN
bibechana-11687	39	61	�	�	PROPN
bibechana-11687	39	62	�	�	PROPN
bibechana-11687	39	63	=	=	SYM
bibechana-11687	39	64	0	0	PROPN
bibechana-11687	39	65	.	.	PUNCT
bibechana-11687	40	1	(	(	PUNCT
bibechana-11687	40	2	10	10	NUM
bibechana-11687	40	3	)	)	PUNCT
bibechana-11687	40	4	where	where	SCONJ
bibechana-11687	40	5	�	�	PROPN
bibechana-11687	40	6	�	�	PROPN
bibechana-11687	40	7	�	�	PROPN
bibechana-11687	40	8	is	be	AUX
bibechana-11687	40	9	the	the	DET
bibechana-11687	40	10	time	time	NOUN
bibechana-11687	40	11	-	-	PUNCT
bibechana-11687	40	12	fractional	fractional	ADJ
bibechana-11687	40	13	jumarie	jumarie	PROPN
bibechana-11687	40	14	’s	’s	PART
bibechana-11687	40	15	fractional	fractional	ADJ
bibechana-11687	40	16	derivative	derivative	NOUN
bibechana-11687	40	17	,	,	PUNCT
bibechana-11687	40	18	h	h	PROPN
bibechana-11687	40	19	�	�	PROPN
bibechana-11687	40	20	�	�	PROPN
bibechana-11687	40	21	�	�	PROPN
bibechana-11687	40	22	is	be	AUX
bibechana-11687	40	23	the	the	DET
bibechana-11687	40	24	nonlinear	nonlinear	ADJ
bibechana-11687	40	25	operator	operator	NOUN
bibechana-11687	40	26	and	and	CCONJ
bibechana-11687	40	27	8	8	NUM
bibechana-11687	40	28	�	�	PROPN
bibechana-11687	40	29	�	�	PROPN
bibechana-11687	40	30	�	�	PROPN
bibechana-11687	40	31	is	be	AUX
bibechana-11687	40	32	some	some	DET
bibechana-11687	40	33	linear	linear	ADJ
bibechana-11687	40	34	operator	operator	NOUN
bibechana-11687	40	35	.	.	PUNCT
bibechana-11687	41	1	the	the	DET
bibechana-11687	41	2	complex	complex	ADJ
bibechana-11687	41	3	transform	transform	NOUN
bibechana-11687	41	4	requires	require	VERB
bibechana-11687	41	5	i	i	PRON
bibechana-11687	41	6	=	=	SYM
bibechana-11687	41	7	�	�	PROPN
bibechana-11687	41	8	�	�	PROPN
bibechana-11687	41	9	using	use	VERB
bibechana-11687	41	10	the	the	DET
bibechana-11687	41	11	basic	basic	ADJ
bibechana-11687	41	12	properties	property	NOUN
bibechana-11687	41	13	of	of	ADP
bibechana-11687	41	14	the	the	DET
bibechana-11687	41	15	fractional	fractional	ADJ
bibechana-11687	41	16	derivative	derivative	NOUN
bibechana-11687	41	17	[	[	X
bibechana-11687	41	18	20	20	NUM
bibechana-11687	41	19	]	]	PUNCT
bibechana-11687	41	20	,	,	PUNCT
bibechana-11687	41	21	we	we	PRON
bibechana-11687	41	22	can	can	AUX
bibechana-11687	41	23	convert	convert	VERB
bibechana-11687	41	24	the	the	DET
bibechana-11687	41	25	fractional	fractional	ADJ
bibechana-11687	41	26	derivative	derivative	NOUN
bibechana-11687	41	27	into	into	ADP
bibechana-11687	41	28	classical	classical	ADJ
bibechana-11687	41	29	derivative	derivative	NOUN
bibechana-11687	41	30	.	.	PUNCT
bibechana-11687	42	1	jdkj	jdkj	PROPN
bibechana-11687	42	2	�	�	PROPN
bibechana-11687	42	3	d	d	PROPN
bibechana-11687	42	4	=	=	PROPN
bibechana-11687	42	5	jkjl	jkjl	PROPN
bibechana-11687	42	6	jld	jld	PROPN
bibechana-11687	42	7	j	j	PROPN
bibechana-11687	42	8	�	�	PROPN
bibechana-11687	42	9	d	d	PROPN
bibechana-11687	42	10	=	=	PROPN
bibechana-11687	42	11	σ	σ	PROPN
bibechana-11687	42	12	jkjl	jkjl	PROPN
bibechana-11687	42	13	,	,	PUNCT
bibechana-11687	42	14	(	(	PUNCT
bibechana-11687	42	15	11	11	NUM
bibechana-11687	42	16	)	)	PUNCT
bibechana-11687	42	17	where	where	SCONJ
bibechana-11687	42	18	σ	σ	NOUN
bibechana-11687	42	19	,	,	PUNCT
bibechana-11687	42	20	is	be	AUX
bibechana-11687	42	21	defined	define	VERB
bibechana-11687	42	22	[	[	PUNCT
bibechana-11687	42	23	20	20	NUM
bibechana-11687	42	24	]	]	PUNCT
bibechana-11687	42	25	,	,	PUNCT
bibechana-11687	42	26	eq	eq	NOUN
bibechana-11687	42	27	.	.	PUNCT
bibechana-11687	43	1	(	(	PUNCT
bibechana-11687	43	2	10	10	NUM
bibechana-11687	43	3	)	)	PUNCT
bibechana-11687	43	4	becomes	become	VERB
bibechana-11687	43	5	σ	σ	PROPN
bibechana-11687	43	6	�	�	PROPN
bibechana-11687	43	7	m	m	PROPN
bibechana-11687	43	8	�	�	PROPN
bibechana-11687	43	9	u	u	NOUN
bibechana-11687	43	10	�	�	PROPN
bibechana-11687	43	11	�	�	PROPN
bibechana-11687	43	12	,	,	PUNCT
bibechana-11687	43	13	�	�	PROPN
bibechana-11687	43	14	�	�	PROPN
bibechana-11687	43	15	�	�	PROPN
bibechana-11687	43	16	+	+	CCONJ
bibechana-11687	43	17	8	8	NUM
bibechana-11687	43	18	�	�	PROPN
bibechana-11687	43	19	u	u	NOUN
bibechana-11687	43	20	�	�	PROPN
bibechana-11687	43	21	�	�	PROPN
bibechana-11687	43	22	,	,	PUNCT
bibechana-11687	43	23	�	�	PROPN
bibechana-11687	43	24	�	�	PROPN
bibechana-11687	43	25	�	�	PROPN
bibechana-11687	43	26	+	+	CCONJ
bibechana-11687	43	27	h	h	PROPN
bibechana-11687	43	28	�	�	PROPN
bibechana-11687	43	29	u	u	NOUN
bibechana-11687	43	30	�	�	PROPN
bibechana-11687	43	31	�	�	PROPN
bibechana-11687	43	32	,	,	PUNCT
bibechana-11687	43	33	�	�	PROPN
bibechana-11687	43	34	�	�	PROPN
bibechana-11687	43	35	�	�	PROPN
bibechana-11687	43	36	=	=	SYM
bibechana-11687	43	37	0	0	PROPN
bibechana-11687	43	38	,	,	PUNCT
bibechana-11687	43	39	(	(	PUNCT
bibechana-11687	43	40	12	12	NUM
bibechana-11687	43	41	)	)	PUNCT
bibechana-11687	43	42	where	where	SCONJ
bibechana-11687	43	43	�	�	PROPN
bibechana-11687	43	44	m	m	NOUN
bibechana-11687	43	45	=	=	NOUN
bibechana-11687	43	46	jkjm	jkjm	PROPN
bibechana-11687	43	47	nm	nm	PROPN
bibechana-11687	43	48	�	�	PROPN
bibechana-11687	43	49	�	�	PROPN
bibechana-11687	43	50	�	�	PROPN
bibechana-11687	43	51	�	�	PROPN
bibechana-11687	43	52	,	,	PUNCT
bibechana-11687	43	53	�	�	PROPN
bibechana-11687	43	54	�	�	PROPN
bibechana-11687	43	55	�	�	PROPN
bibechana-11687	43	56	�	�	PROPN
bibechana-11687	43	57	+	+	CCONJ
bibechana-11687	43	58	8	8	NUM
bibechana-11687	43	59	�	�	PROPN
bibechana-11687	43	60	�	�	PROPN
bibechana-11687	43	61	�	�	PROPN
bibechana-11687	43	62	�	�	PROPN
bibechana-11687	43	63	,	,	PUNCT
bibechana-11687	43	64	�	�	PROPN
bibechana-11687	43	65	�	�	PROPN
bibechana-11687	43	66	�	�	PROPN
bibechana-11687	43	67	�	�	PROPN
bibechana-11687	43	68	+	+	CCONJ
bibechana-11687	43	69	h	h	PROPN
bibechana-11687	43	70	�	�	PROPN
bibechana-11687	43	71	�	�	PROPN
bibechana-11687	43	72	�	�	PROPN
bibechana-11687	43	73	�	�	PROPN
bibechana-11687	43	74	,	,	PUNCT
bibechana-11687	43	75	�	�	PROPN
bibechana-11687	43	76	�	�	PROPN
bibechana-11687	43	77	�	�	PROPN
bibechana-11687	43	78	�	�	NOUN
bibechana-11687	43	79	=	=	NOUN
bibechana-11687	43	80	0	0	NUM
bibechana-11687	43	81	,	,	PUNCT
bibechana-11687	43	82	(	(	PUNCT
bibechana-11687	43	83	13	13	NUM
bibechana-11687	43	84	)	)	PUNCT
bibechana-11687	43	85	where	where	SCONJ
bibechana-11687	43	86	nm	nm	ADV
bibechana-11687	43	87	is	be	AUX
bibechana-11687	43	88	the	the	DET
bibechana-11687	43	89	linear	linear	ADJ
bibechana-11687	43	90	differential	differential	NOUN
bibechana-11687	43	91	operator	operator	NOUN
bibechana-11687	43	92	.	.	PUNCT
bibechana-11687	44	1	according	accord	VERB
bibechana-11687	44	2	to	to	ADP
bibechana-11687	44	3	variational	variational	ADJ
bibechana-11687	44	4	iteration	iteration	NOUN
bibechana-11687	44	5	method	method	NOUN
bibechana-11687	44	6	,	,	PUNCT
bibechana-11687	44	7	we	we	PRON
bibechana-11687	44	8	construct	construct	VERB
bibechana-11687	44	9	a	a	DET
bibechana-11687	44	10	correction	correction	NOUN
bibechana-11687	44	11	functional	functional	ADJ
bibechana-11687	44	12	as	as	SCONJ
bibechana-11687	44	13	follows	follow	VERB
bibechana-11687	44	14	:	:	PUNCT
bibechana-11687	44	15	�	�	PROPN
bibechana-11687	44	16	oa	oa	PROPN
bibechana-11687	44	17	�	�	PROPN
bibechana-11687	44	18	�	�	PROPN
bibechana-11687	44	19	�	�	PROPN
bibechana-11687	44	20	,	,	PUNCT
bibechana-11687	44	21	�	�	PROPN
bibechana-11687	44	22	�	�	PROPN
bibechana-11687	44	23	=	=	SYM
bibechana-11687	44	24	�	�	PROPN
bibechana-11687	44	25	o	o	NOUN
bibechana-11687	44	26	�	�	PROPN
bibechana-11687	44	27	�	�	PROPN
bibechana-11687	44	28	,	,	PUNCT
bibechana-11687	44	29	�	�	PROPN
bibechana-11687	44	30	�	�	PROPN
bibechana-11687	44	31	+	+	CCONJ
bibechana-11687	44	32	+	+	CCONJ
bibechana-11687	44	33	p	p	PROPN
bibechana-11687	44	34	�	�	PROPN
bibechana-11687	44	35	�	�	PROPN
bibechana-11687	44	36	,	,	PUNCT
bibechana-11687	44	37	q	q	ADJ
bibechana-11687	44	38	�	�	PROPN
bibechana-11687	44	39	>nr	>nr	NOUN
bibechana-11687	44	40	�	�	PROPN
bibechana-11687	44	41	o	o	NOUN
bibechana-11687	44	42	�	�	PROPN
bibechana-11687	44	43	x	x	PROPN
bibechana-11687	44	44	,	,	PUNCT
bibechana-11687	44	45	q	q	PROPN
bibechana-11687	44	46	�	�	PROPN
bibechana-11687	44	47	�	�	NOUN
bibechana-11687	44	48	0	0	NUM
bibechana-11687	44	49	+	+	NUM
bibechana-11687	44	50	8	8	NUM
bibechana-11687	44	51	�	�	PROPN
bibechana-11687	44	52	so	so	NOUN
bibechana-11687	44	53	�	�	PROPN
bibechana-11687	44	54	x	x	PROPN
bibechana-11687	44	55	,	,	PUNCT
bibechana-11687	44	56	q	q	PROPN
bibechana-11687	44	57	�	�	PROPN
bibechana-11687	44	58	+	+	CCONJ
bibechana-11687	44	59	h	h	PROPN
bibechana-11687	44	60	�	�	PROPN
bibechana-11687	44	61	so	so	PROPN
bibechana-11687	44	62	�	�	PROPN
bibechana-11687	44	63	�	�	PROPN
bibechana-11687	44	64	,	,	PUNCT
bibechana-11687	44	65	�	�	PROPN
bibechana-11687	44	66	�	�	PROPN
bibechana-11687	44	67	?	?	NOUN
bibechana-11687	44	68	tq	tq	INTJ
bibechana-11687	44	69	,	,	PUNCT
bibechana-11687	44	70	(	(	PUNCT
bibechana-11687	44	71	14	14	NUM
bibechana-11687	44	72	)	)	PUNCT
bibechana-11687	44	73	where	where	SCONJ
bibechana-11687	44	74	p	p	NOUN
bibechana-11687	44	75	is	be	AUX
bibechana-11687	44	76	the	the	DET
bibechana-11687	44	77	general	general	ADJ
bibechana-11687	44	78	lagrangian	lagrangian	ADJ
bibechana-11687	44	79	multiplier	multipli	ADJ
bibechana-11687	44	80	which	which	PRON
bibechana-11687	44	81	can	can	AUX
bibechana-11687	44	82	be	be	AUX
bibechana-11687	44	83	indentified	indentifie	VERB
bibechana-11687	44	84	optimally	optimally	ADV
bibechana-11687	44	85	by	by	ADP
bibechana-11687	44	86	the	the	DET
bibechana-11687	44	87	variational	variational	ADJ
bibechana-11687	44	88	theory	theory	NOUN
bibechana-11687	44	89	,	,	PUNCT
bibechana-11687	44	90	the	the	DET
bibechana-11687	44	91	subscript	subscript	NOUN
bibechana-11687	44	92	4	4	NUM
bibechana-11687	44	93	denotes	denote	VERB
bibechana-11687	44	94	the	the	DET
bibechana-11687	44	95	nth	nth	NOUN
bibechana-11687	44	96	order	order	NOUN
bibechana-11687	44	97	approximation	approximation	NOUN
bibechana-11687	44	98	,	,	PUNCT
bibechana-11687	44	99	and	and	CCONJ
bibechana-11687	44	100	�	�	NOUN
bibechana-11687	44	101	so	so	ADV
bibechana-11687	44	102	is	be	AUX
bibechana-11687	44	103	considered	consider	VERB
bibechana-11687	44	104	as	as	ADP
bibechana-11687	44	105	a	a	DET
bibechana-11687	44	106	restricted	restricted	ADJ
bibechana-11687	44	107	variation	variation	NOUN
bibechana-11687	44	108	,	,	PUNCT
bibechana-11687	44	109	i.e.	i.e.	X
bibechana-11687	44	110	u	u	NOUN
bibechana-11687	44	111	�	�	VERB
bibechana-11687	44	112	so	so	NOUN
bibechana-11687	44	113	=	=	NOUN
bibechana-11687	44	114	0	0	NUM
bibechana-11687	44	115	.	.	PUNCT
bibechana-11687	45	1	its	its	PRON
bibechana-11687	45	2	stationary	stationary	ADJ
bibechana-11687	45	3	conditions	condition	NOUN
bibechana-11687	45	4	can	can	AUX
bibechana-11687	45	5	be	be	AUX
bibechana-11687	45	6	obtained	obtain	VERB
bibechana-11687	45	7	as	as	ADP
bibechana-11687	45	8	follows	follow	VERB
bibechana-11687	45	9	:	:	PUNCT
bibechana-11687	45	10	p/	p/	X
bibechana-11687	45	11	�	�	NOUN
bibechana-11687	45	12	x	x	SYM
bibechana-11687	45	13	,	,	PUNCT
bibechana-11687	45	14	q	q	PROPN
bibechana-11687	45	15	�	�	PROPN
bibechana-11687	45	16	=	=	SYM
bibechana-11687	45	17	0	0	NUM
bibechana-11687	45	18	,	,	PUNCT
bibechana-11687	45	19	1	1	NUM
bibechana-11687	45	20	+	+	CCONJ
bibechana-11687	45	21	p	p	PROPN
bibechana-11687	45	22	�	�	PROPN
bibechana-11687	45	23	x	x	NOUN
bibechana-11687	45	24	,	,	PUNCT
bibechana-11687	45	25	q	q	PROPN
bibechana-11687	45	26	�	�	PROPN
bibechana-11687	45	27	=	=	SYM
bibechana-11687	45	28	0	0	PROPN
bibechana-11687	45	29	.	.	PUNCT
bibechana-11687	46	1	the	the	DET
bibechana-11687	46	2	lagrange	lagrange	PROPN
bibechana-11687	46	3	multiplier	multiplier	ADV
bibechana-11687	46	4	,	,	PUNCT
bibechana-11687	46	5	therefore	therefore	ADV
bibechana-11687	46	6	,	,	PUNCT
bibechana-11687	46	7	can	can	AUX
bibechana-11687	46	8	be	be	AUX
bibechana-11687	46	9	obtained	obtain	VERB
bibechana-11687	46	10	as	as	ADP
bibechana-11687	46	11	p	p	NOUN
bibechana-11687	46	12	=	=	NOUN
bibechana-11687	46	13	−1	−1	NOUN
bibechana-11687	46	14	,	,	PUNCT
bibechana-11687	46	15	and	and	CCONJ
bibechana-11687	46	16	the	the	DET
bibechana-11687	46	17	following	follow	VERB
bibechana-11687	46	18	variational	variational	ADJ
bibechana-11687	46	19	iteration	iteration	NOUN
bibechana-11687	46	20	formula	formula	NOUN
bibechana-11687	46	21	can	can	AUX
bibechana-11687	46	22	be	be	AUX
bibechana-11687	46	23	obtained	obtain	VERB
bibechana-11687	46	24	as	as	ADP
bibechana-11687	46	25	�	�	PROPN
bibechana-11687	46	26	oa	oa	PROPN
bibechana-11687	46	27	�	�	PROPN
bibechana-11687	46	28	�	�	PROPN
bibechana-11687	46	29	�	�	PROPN
bibechana-11687	46	30	,	,	PUNCT
bibechana-11687	46	31	�	�	PROPN
bibechana-11687	46	32	�	�	PROPN
bibechana-11687	46	33	=	=	SYM
bibechana-11687	46	34	�	�	PROPN
bibechana-11687	46	35	o	o	NOUN
bibechana-11687	46	36	�	�	PROPN
bibechana-11687	46	37	�	�	PROPN
bibechana-11687	46	38	,	,	PUNCT
bibechana-11687	46	39	�	�	PROPN
bibechana-11687	46	40	�	�	PROPN
bibechana-11687	46	41	−	−	PROPN
bibechana-11687	46	42	+	+	PROPN
bibechana-11687	46	43	nr	nr	PROPN
bibechana-11687	46	44	�	�	PROPN
bibechana-11687	46	45	o	o	NOUN
bibechana-11687	46	46	�	�	PROPN
bibechana-11687	46	47	�	�	PROPN
bibechana-11687	46	48	,	,	PUNCT
bibechana-11687	46	49	q	q	NOUN
bibechana-11687	46	50	�	�	NOUN
bibechana-11687	46	51	�	�	NOUN
bibechana-11687	46	52	0	0	NUM
bibechana-11687	46	53	+	+	NUM
bibechana-11687	46	54	8	8	NUM
bibechana-11687	46	55	�	�	PROPN
bibechana-11687	46	56	�	�	PROPN
bibechana-11687	46	57	o	o	NOUN
bibechana-11687	46	58	�	�	PROPN
bibechana-11687	46	59	+	+	CCONJ
bibechana-11687	46	60	h	h	PROPN
bibechana-11687	46	61	�	�	PROPN
bibechana-11687	46	62	�	�	PROPN
bibechana-11687	46	63	o	o	NOUN
bibechana-11687	46	64	�	�	PROPN
bibechana-11687	46	65	tq	tq	NUM
bibechana-11687	46	66	.	.	PUNCT
bibechana-11687	47	1	(	(	PUNCT
bibechana-11687	47	2	15	15	X
bibechana-11687	47	3	)	)	PUNCT
bibechana-11687	47	4	considering	consider	VERB
bibechana-11687	47	5	�	�	PROPN
bibechana-11687	47	6	0	0	NUM
bibechana-11687	47	7	�	�	PROPN
bibechana-11687	47	8	�	�	PROPN
bibechana-11687	47	9	,	,	PUNCT
bibechana-11687	47	10	0	0	NUM
bibechana-11687	47	11	�	�	PROPN
bibechana-11687	47	12	=	=	SYM
bibechana-11687	47	13	�	�	PROPN
bibechana-11687	47	14	�	�	PROPN
bibechana-11687	47	15	�	�	PROPN
bibechana-11687	47	16	,	,	PUNCT
bibechana-11687	47	17	0	0	NUM
bibechana-11687	47	18	�	�	PROPN
bibechana-11687	47	19	,	,	PUNCT
bibechana-11687	47	20	we	we	PRON
bibechana-11687	47	21	can	can	AUX
bibechana-11687	47	22	easily	easily	ADV
bibechana-11687	47	23	find	find	VERB
bibechana-11687	47	24	the	the	DET
bibechana-11687	47	25	components	component	NOUN
bibechana-11687	47	26	of	of	ADP
bibechana-11687	47	27	the	the	DET
bibechana-11687	47	28	iterative	iterative	NOUN
bibechana-11687	47	29	formula	formula	NOUN
bibechana-11687	47	30	defined	define	VERB
bibechana-11687	47	31	in	in	ADP
bibechana-11687	47	32	(	(	PUNCT
bibechana-11687	47	33	15	15	NUM
bibechana-11687	47	34	)	)	PUNCT
bibechana-11687	47	35	.	.	PUNCT
bibechana-11687	48	1	applying	apply	VERB
bibechana-11687	48	2	backward	backward	ADJ
bibechana-11687	48	3	substitution	substitution	NOUN
bibechana-11687	48	4	to	to	ADP
bibechana-11687	48	5	the	the	DET
bibechana-11687	48	6	computed	compute	VERB
bibechana-11687	48	7	components	component	NOUN
bibechana-11687	48	8	i	i	PRON
bibechana-11687	48	9	=	=	SYM
bibechana-11687	48	10	�	�	PROPN
bibechana-11687	48	11	�	�	PROPN
bibechana-11687	48	12	,	,	PUNCT
bibechana-11687	48	13	we	we	PRON
bibechana-11687	48	14	get	get	VERB
bibechana-11687	48	15	ahmad	ahmad	NOUN
bibechana-11687	48	16	and	and	CCONJ
bibechana-11687	48	17	mohyud	mohyud	NOUN
bibechana-11687	48	18	-	-	PUNCT
bibechana-11687	48	19	din/	din/	NOUN
bibechana-11687	48	20	bibechana	bibechana	NOUN
bibechana-11687	48	21	12	12	NUM
bibechana-11687	48	22	(	(	PUNCT
bibechana-11687	48	23	2015	2015	NUM
bibechana-11687	48	24	)	)	PUNCT
bibechana-11687	48	25	59	59	NUM
bibechana-11687	48	26	-	-	SYM
bibechana-11687	48	27	69	69	NUM
bibechana-11687	48	28	:	:	PUNCT
bibechana-11687	49	1	p.	p.	NOUN
bibechana-11687	49	2	62	62	NUM
bibechana-11687	49	3	�	�	PROPN
bibechana-11687	49	4	�	�	PROPN
bibechana-11687	49	5	�	�	PROPN
bibechana-11687	49	6	,	,	PUNCT
bibechana-11687	49	7	�	�	PROPN
bibechana-11687	49	8	�	�	PROPN
bibechana-11687	49	9	=	=	SYM
bibechana-11687	49	10	limo→∞	limo→∞	PROPN
bibechana-11687	49	11	�	�	PROPN
bibechana-11687	49	12	o	o	PROPN
bibechana-11687	49	13	�	�	PROPN
bibechana-11687	49	14	�	�	PROPN
bibechana-11687	49	15	,	,	PUNCT
bibechana-11687	49	16	�	�	PROPN
bibechana-11687	49	17	�	�	PROPN
bibechana-11687	49	18	.	.	PUNCT
bibechana-11687	50	1	(	(	PUNCT
bibechana-11687	50	2	16	16	NUM
bibechana-11687	50	3	)	)	PUNCT
bibechana-11687	50	4	4	4	NUM
bibechana-11687	50	5	.	.	PUNCT
bibechana-11687	50	6	numerical	numerical	PROPN
bibechana-11687	50	7	applications	application	NOUN
bibechana-11687	50	8	example	example	NOUN
bibechana-11687	50	9	4.1	4.1	NUM
bibechana-11687	50	10	consider	consider	VERB
bibechana-11687	50	11	the	the	DET
bibechana-11687	50	12	following	follow	VERB
bibechana-11687	50	13	timefractional	timefractional	ADJ
bibechana-11687	50	14	fornberg	fornberg	PROPN
bibechana-11687	50	15	-	-	PUNCT
bibechana-11687	50	16	whitham	whitham	NOUN
bibechana-11687	50	17	equation	equation	NOUN
bibechana-11687	50	18	defined	define	VERB
bibechana-11687	50	19	in	in	ADP
bibechana-11687	50	20	eq	eq	ADP
bibechana-11687	50	21	.	.	PUNCT
bibechana-11687	51	1	(	(	PUNCT
bibechana-11687	51	2	1	1	X
bibechana-11687	51	3	)	)	PUNCT
bibechana-11687	51	4	�	�	PROPN
bibechana-11687	51	5	�	�	PROPN
bibechana-11687	51	6	�	�	PROPN
bibechana-11687	51	7	�	�	PROPN
bibechana-11687	51	8	−	−	PROPN
bibechana-11687	51	9	�	�	PROPN
bibechana-11687	51	10	�	�	PROPN
bibechana-11687	51	11	�	�	PROPN
bibechana-11687	51	12	�	�	PROPN
bibechana-11687	51	13	+	+	SYM
bibechana-11687	51	14	�	�	PROPN
bibechana-11687	51	15	�	�	PROPN
bibechana-11687	51	16	=	=	SYM
bibechana-11687	51	17	�	�	PROPN
bibechana-11687	51	18	�	�	PROPN
bibechana-11687	51	19	�	�	PROPN
bibechana-11687	51	20	�	�	PROPN
bibechana-11687	51	21	�	�	PROPN
bibechana-11687	51	22	−	−	PROPN
bibechana-11687	51	23	�	�	PROPN
bibechana-11687	51	24	�	�	PROPN
bibechana-11687	51	25	�	�	PROPN
bibechana-11687	51	26	+	+	CCONJ
bibechana-11687	51	27	3	3	NUM
bibechana-11687	51	28	�	�	PROPN
bibechana-11687	51	29	�	�	PROPN
bibechana-11687	51	30	�	�	PROPN
bibechana-11687	51	31	�	�	PROPN
bibechana-11687	51	32	�	�	PROPN
bibechana-11687	51	33	,	,	PUNCT
bibechana-11687	51	34	�	�	PROPN
bibechana-11687	51	35	>	>	X
bibechana-11687	51	36	0	0	NUM
bibechana-11687	51	37	,	,	PUNCT
bibechana-11687	51	38	0	0	NUM
bibechana-11687	51	39	<	<	X
bibechana-11687	51	40	�	�	PROPN
bibechana-11687	51	41	≤	≤	PROPN
bibechana-11687	51	42	1	1	NUM
bibechana-11687	51	43	,	,	PUNCT
bibechana-11687	51	44	(	(	PUNCT
bibechana-11687	51	45	17	17	NUM
bibechana-11687	51	46	)	)	PUNCT
bibechana-11687	51	47	subject	subject	NOUN
bibechana-11687	51	48	to	to	ADP
bibechana-11687	51	49	the	the	DET
bibechana-11687	51	50	initial	initial	ADJ
bibechana-11687	51	51	conditions	condition	NOUN
bibechana-11687	51	52	�	�	PROPN
bibechana-11687	51	53	�	�	PROPN
bibechana-11687	51	54	�	�	PROPN
bibechana-11687	51	55	,	,	PUNCT
bibechana-11687	51	56	0	0	NUM
bibechana-11687	51	57	�	�	NOUN
bibechana-11687	51	58	=	=	SYM
bibechana-11687	51	59	z[\.	z[\.	ADJ
bibechana-11687	51	60	applying	apply	VERB
bibechana-11687	51	61	procedure	procedure	NOUN
bibechana-11687	51	62	defined	define	VERB
bibechana-11687	51	63	in	in	ADP
bibechana-11687	51	64	(	(	PUNCT
bibechana-11687	51	65	11	11	NUM
bibechana-11687	51	66	-	-	SYM
bibechana-11687	51	67	15	15	NUM
bibechana-11687	51	68	)	)	PUNCT
bibechana-11687	51	69	,	,	PUNCT
bibechana-11687	51	70	u0	u0	ADJ
bibechana-11687	51	71	=	=	SYM
bibechana-11687	51	72	e\̂	e\̂	PROPN
bibechana-11687	51	73	,	,	PUNCT
bibechana-11687	51	74	u	u	NOUN
bibechana-11687	51	75	�	�	PROPN
bibechana-11687	51	76	�	�	PROPN
bibechana-11687	51	77	x	x	PROPN
bibechana-11687	51	78	,	,	PUNCT
bibechana-11687	51	79	s	s	PROPN
bibechana-11687	51	80	�	�	PROPN
bibechana-11687	51	81	=	=	SYM
bibechana-11687	51	82	−	−	PROPN
bibechana-11687	51	83	�	�	PROPN
bibechana-11687	51	84	�	�	PROPN
bibechana-11687	51	85	σ	σ	PROPN
bibechana-11687	51	86	e\̂	e\̂	PROPN
bibechana-11687	51	87	�	�	PROPN
bibechana-11687	51	88	−2	−2	PROPN
bibechana-11687	51	89	+	+	SYM
bibechana-11687	51	90	s	s	PROPN
bibechana-11687	51	91	�	�	PROPN
bibechana-11687	51	92	,	,	PUNCT
bibechana-11687	51	93	u	u	NOUN
bibechana-11687	51	94	�	�	PROPN
bibechana-11687	51	95	�	�	PROPN
bibechana-11687	51	96	x	x	PROPN
bibechana-11687	51	97	,	,	PUNCT
bibechana-11687	51	98	s	s	PROPN
bibechana-11687	51	99	�	�	PROPN
bibechana-11687	51	100	=	=	SYM
bibechana-11687	51	101	�	�	PROPN
bibechana-11687	51	102	aσ	aσ	NOUN
bibechana-11687	51	103	e\̂	e\̂	PROPN
bibechana-11687	51	104	�	�	PROPN
bibechana-11687	51	105	8	8	NUM
bibechana-11687	51	106	−	−	NUM
bibechana-11687	51	107	5s	5s	NUM
bibechana-11687	51	108	+	+	SYM
bibechana-11687	51	109	s	s	PROPN
bibechana-11687	51	110	�	�	PROPN
bibechana-11687	51	111	�	�	PROPN
bibechana-11687	51	112	,	,	PUNCT
bibechana-11687	51	113	u	u	NOUN
bibechana-11687	51	114	�	�	PROPN
bibechana-11687	51	115	�	�	PROPN
bibechana-11687	51	116	x	x	PROPN
bibechana-11687	51	117	,	,	PUNCT
bibechana-11687	51	118	s	s	PROPN
bibechana-11687	51	119	�	�	PROPN
bibechana-11687	51	120	=	=	SYM
bibechana-11687	51	121	−	−	PROPN
bibechana-11687	51	122	�	�	PROPN
bibechana-11687	51	123	deσ	deσ	PROPN
bibechana-11687	51	124	e\̂	e\̂	PROPN
bibechana-11687	51	125	�	�	PROPN
bibechana-11687	51	126	−96	−96	NOUN
bibechana-11687	51	127	+	+	NUM
bibechana-11687	51	128	63s	63	NOUN
bibechana-11687	51	129	−	−	NOUN
bibechana-11687	51	130	18s	18s	NUM
bibechana-11687	51	131	�	�	PROPN
bibechana-11687	51	132	+	+	CCONJ
bibechana-11687	51	133	2s	2s	PROPN
bibechana-11687	51	134	�	�	PROPN
bibechana-11687	51	135	�	�	PROPN
bibechana-11687	51	136	,	,	PUNCT
bibechana-11687	51	137	⋮.	⋮.	PROPN
bibechana-11687	51	138	applying	apply	VERB
bibechana-11687	51	139	backward	backward	ADJ
bibechana-11687	51	140	substitution	substitution	NOUN
bibechana-11687	51	141	u	u	NOUN
bibechana-11687	51	142	�	�	PROPN
bibechana-11687	51	143	�	�	PROPN
bibechana-11687	51	144	x	x	PROPN
bibechana-11687	51	145	,	,	PUNCT
bibechana-11687	51	146	t	t	PROPN
bibechana-11687	51	147	�	�	PROPN
bibechana-11687	51	148	=	=	SYM
bibechana-11687	51	149	−	−	PROPN
bibechana-11687	51	150	�	�	PROPN
bibechana-11687	51	151	�	�	PROPN
bibechana-11687	51	152	σ	σ	PROPN
bibechana-11687	51	153	e\̂	e\̂	PROPN
bibechana-11687	51	154	�	�	PROPN
bibechana-11687	51	155	−2	−2	PROPN
bibechana-11687	51	156	+	+	CCONJ
bibechana-11687	51	157	tα	tα	PROPN
bibechana-11687	51	158	�	�	PROPN
bibechana-11687	51	159	,	,	PUNCT
bibechana-11687	51	160	u	u	NOUN
bibechana-11687	51	161	�	�	PROPN
bibechana-11687	51	162	�	�	PROPN
bibechana-11687	51	163	x	x	PROPN
bibechana-11687	51	164	,	,	PUNCT
bibechana-11687	51	165	t	t	PROPN
bibechana-11687	51	166	�	�	PROPN
bibechana-11687	51	167	=	=	SYM
bibechana-11687	51	168	�	�	PROPN
bibechana-11687	51	169	aσ	aσ	NOUN
bibechana-11687	51	170	e\̂	e\̂	PROPN
bibechana-11687	51	171	�	�	PROPN
bibechana-11687	51	172	8	8	NUM
bibechana-11687	51	173	−	−	PROPN
bibechana-11687	51	174	5tα	5tα	ADJ
bibechana-11687	51	175	+	+	CCONJ
bibechana-11687	51	176	t	t	PROPN
bibechana-11687	51	177	�	�	PROPN
bibechana-11687	51	178	α	α	PROPN
bibechana-11687	51	179	�	�	PROPN
bibechana-11687	51	180	,	,	PUNCT
bibechana-11687	51	181	u	u	NOUN
bibechana-11687	51	182	�	�	PROPN
bibechana-11687	51	183	�	�	PROPN
bibechana-11687	51	184	x	x	PROPN
bibechana-11687	51	185	,	,	PUNCT
bibechana-11687	51	186	t	t	PROPN
bibechana-11687	51	187	�	�	PROPN
bibechana-11687	51	188	=	=	SYM
bibechana-11687	51	189	−	−	PROPN
bibechana-11687	51	190	�	�	PROPN
bibechana-11687	51	191	deσ	deσ	PROPN
bibechana-11687	51	192	e\̂	e\̂	PROPN
bibechana-11687	51	193	�	�	PROPN
bibechana-11687	51	194	−96	−96	NOUN
bibechana-11687	51	195	+	+	CCONJ
bibechana-11687	51	196	63tα	63tα	ADJ
bibechana-11687	51	197	−	−	NOUN
bibechana-11687	51	198	18t	18t	NOUN
bibechana-11687	51	199	�	�	NOUN
bibechana-11687	51	200	α	α	PROPN
bibechana-11687	51	201	+	+	X
bibechana-11687	51	202	2t	2t	PROPN
bibechana-11687	51	203	�	�	PROPN
bibechana-11687	51	204	α	α	PROPN
bibechana-11687	51	205	�	�	PROPN
bibechana-11687	51	206	,	,	PUNCT
bibechana-11687	51	207	(	(	PUNCT
bibechana-11687	51	208	18	18	NUM
bibechana-11687	51	209	)	)	PUNCT
bibechana-11687	51	210	⋮.	⋮.	NUM
bibechana-11687	51	211	and	and	CCONJ
bibechana-11687	51	212	so	so	ADV
bibechana-11687	51	213	on	on	ADV
bibechana-11687	51	214	.	.	PUNCT
bibechana-11687	52	1	the	the	DET
bibechana-11687	52	2	exact	exact	ADJ
bibechana-11687	52	3	solution	solution	NOUN
bibechana-11687	52	4	of	of	ADP
bibechana-11687	52	5	the	the	DET
bibechana-11687	52	6	timefractional	timefractional	ADJ
bibechana-11687	52	7	fornberg	fornberg	PROPN
bibechana-11687	52	8	-	-	PUNCT
bibechana-11687	52	9	whitham	whitham	NOUN
bibechana-11687	52	10	equation	equation	NOUN
bibechana-11687	52	11	is	be	AUX
bibechana-11687	52	12	obtained	obtain	VERB
bibechana-11687	52	13	[	[	PUNCT
bibechana-11687	52	14	6	6	NUM
bibechana-11687	52	15	]	]	PUNCT
bibechana-11687	52	16	.	.	PUNCT
bibechana-11687	53	1	u	u	PROPN
bibechana-11687	53	2	�	�	PROPN
bibechana-11687	53	3	x	x	PROPN
bibechana-11687	53	4	,	,	PUNCT
bibechana-11687	53	5	t	t	PROPN
bibechana-11687	53	6	�	�	PROPN
bibechana-11687	53	7	=	=	SYM
bibechana-11687	53	8	e	e	PROPN
bibechana-11687	53	9	�	�	PROPN
bibechana-11687	53	10	\̂*\jk	\̂*\jk	PROPN
bibechana-11687	53	11	�	�	PROPN
bibechana-11687	53	12	.	.	PUNCT
bibechana-11687	54	1	(	(	PUNCT
bibechana-11687	54	2	19	19	NUM
bibechana-11687	54	3	)	)	PUNCT
bibechana-11687	54	4	graphical	graphical	ADJ
bibechana-11687	54	5	representation	representation	NOUN
bibechana-11687	54	6	of	of	ADP
bibechana-11687	54	7	exact	exact	ADJ
bibechana-11687	54	8	solution	solution	NOUN
bibechana-11687	54	9	(	(	PUNCT
bibechana-11687	54	10	19	19	NUM
bibechana-11687	54	11	)	)	PUNCT
bibechana-11687	54	12	and	and	CCONJ
bibechana-11687	54	13	the	the	DET
bibechana-11687	54	14	approximate	approximate	ADJ
bibechana-11687	54	15	solutions	solution	NOUN
bibechana-11687	54	16	(	(	PUNCT
bibechana-11687	54	17	18	18	NUM
bibechana-11687	54	18	)	)	PUNCT
bibechana-11687	54	19	for	for	ADP
bibechana-11687	54	20	∝=	∝=	NOUN
bibechana-11687	54	21	0.3,0.6,1	0.3,0.6,1	NUM
bibechana-11687	54	22	.	.	PUNCT
bibechana-11687	55	1	(	(	PUNCT
bibechana-11687	55	2	a	a	X
bibechana-11687	55	3	)	)	PUNCT
bibechana-11687	55	4	α	α	NOUN
bibechana-11687	55	5	=	=	SYM
bibechana-11687	55	6	0.3	0.3	NUM
bibechana-11687	55	7	(	(	PUNCT
bibechana-11687	55	8	b	b	NOUN
bibechana-11687	55	9	)	)	PUNCT
bibechana-11687	55	10	α	α	NOUN
bibechana-11687	55	11	=	=	SYM
bibechana-11687	55	12	0.6	0.6	NUM
bibechana-11687	55	13	ahmad	ahmad	NOUN
bibechana-11687	55	14	and	and	CCONJ
bibechana-11687	55	15	mohyud	mohyud	NOUN
bibechana-11687	55	16	-	-	PUNCT
bibechana-11687	55	17	din/	din/	NOUN
bibechana-11687	55	18	bibechana	bibechana	NOUN
bibechana-11687	55	19	12	12	NUM
bibechana-11687	55	20	(	(	PUNCT
bibechana-11687	55	21	2015	2015	NUM
bibechana-11687	55	22	)	)	PUNCT
bibechana-11687	55	23	59	59	NUM
bibechana-11687	55	24	-	-	SYM
bibechana-11687	55	25	69	69	NUM
bibechana-11687	55	26	:	:	PUNCT
bibechana-11687	55	27	p.	p.	NOUN
bibechana-11687	55	28	63	63	NUM
bibechana-11687	55	29	(	(	PUNCT
bibechana-11687	55	30	c	c	NOUN
bibechana-11687	55	31	)	)	PUNCT
bibechana-11687	55	32	α	α	NOUN
bibechana-11687	55	33	=	=	SYM
bibechana-11687	55	34	1	1	NUM
bibechana-11687	55	35	(	(	PUNCT
bibechana-11687	55	36	d	d	NOUN
bibechana-11687	55	37	)	)	PUNCT
bibechana-11687	55	38	exact	exact	ADJ
bibechana-11687	55	39	solution	solution	NOUN
bibechana-11687	55	40	example	example	NOUN
bibechana-11687	55	41	4.2	4.2	NUM
bibechana-11687	55	42	consider	consider	VERB
bibechana-11687	55	43	the	the	DET
bibechana-11687	55	44	following	follow	VERB
bibechana-11687	55	45	time	time	NOUN
bibechana-11687	55	46	-	-	PUNCT
bibechana-11687	55	47	fractional	fractional	ADJ
bibechana-11687	55	48	modified	modify	VERB
bibechana-11687	55	49	fornberg	fornberg	PROPN
bibechana-11687	55	50	-	-	PUNCT
bibechana-11687	55	51	whitham	whitham	NOUN
bibechana-11687	55	52	equation	equation	NOUN
bibechana-11687	55	53	defined	define	VERB
bibechana-11687	55	54	in	in	ADP
bibechana-11687	55	55	eq	eq	ADP
bibechana-11687	55	56	.	.	PUNCT
bibechana-11687	56	1	(	(	PUNCT
bibechana-11687	56	2	2	2	X
bibechana-11687	56	3	)	)	PUNCT
bibechana-11687	56	4	�	�	PROPN
bibechana-11687	56	5	�	�	PROPN
bibechana-11687	56	6	�	�	PROPN
bibechana-11687	56	7	�	�	PROPN
bibechana-11687	56	8	−	−	PROPN
bibechana-11687	56	9	�	�	PROPN
bibechana-11687	56	10	�	�	PROPN
bibechana-11687	56	11	�	�	PROPN
bibechana-11687	56	12	�	�	PROPN
bibechana-11687	56	13	+	+	SYM
bibechana-11687	56	14	�	�	PROPN
bibechana-11687	56	15	�	�	PROPN
bibechana-11687	56	16	=	=	SYM
bibechana-11687	56	17	�	�	PROPN
bibechana-11687	56	18	�	�	PROPN
bibechana-11687	56	19	�	�	PROPN
bibechana-11687	56	20	�	�	PROPN
bibechana-11687	56	21	�	�	PROPN
bibechana-11687	56	22	−	−	PROPN
bibechana-11687	56	23	�	�	PROPN
bibechana-11687	56	24	�	�	PROPN
bibechana-11687	56	25	�	�	PROPN
bibechana-11687	56	26	�	�	PROPN
bibechana-11687	56	27	+	+	CCONJ
bibechana-11687	56	28	3	3	NUM
bibechana-11687	56	29	�	�	PROPN
bibechana-11687	56	30	�	�	PROPN
bibechana-11687	56	31	�	�	PROPN
bibechana-11687	56	32	�	�	PROPN
bibechana-11687	56	33	�	�	PROPN
bibechana-11687	56	34	,	,	PUNCT
bibechana-11687	56	35	�	�	PROPN
bibechana-11687	56	36	>	>	X
bibechana-11687	56	37	0	0	NUM
bibechana-11687	56	38	,	,	PUNCT
bibechana-11687	56	39	0	0	NUM
bibechana-11687	56	40	<	<	X
bibechana-11687	56	41	�	�	PROPN
bibechana-11687	56	42	≤	≤	PROPN
bibechana-11687	56	43	1	1	NUM
bibechana-11687	56	44	,	,	PUNCT
bibechana-11687	56	45	(	(	PUNCT
bibechana-11687	56	46	20	20	NUM
bibechana-11687	56	47	)	)	PUNCT
bibechana-11687	56	48	subject	subject	NOUN
bibechana-11687	56	49	to	to	ADP
bibechana-11687	56	50	the	the	DET
bibechana-11687	56	51	initial	initial	ADJ
bibechana-11687	56	52	conditions	condition	NOUN
bibechana-11687	56	53	�	�	PROPN
bibechana-11687	56	54	�	�	PROPN
bibechana-11687	56	55	�	�	PROPN
bibechana-11687	56	56	,	,	PUNCT
bibechana-11687	56	57	0	0	NUM
bibechana-11687	56	58	�	�	NOUN
bibechana-11687	56	59	=	=	SYM
bibechana-11687	56	60	=	=	SYM
bibechana-11687	56	61	sech	sech	PROPN
bibechana-11687	56	62	�	�	PROPN
bibechana-11687	56	63	�	�	PROPN
bibechana-11687	56	64	:	:	PUNCT
bibechana-11687	56	65	�	�	PROPN
bibechana-11687	56	66	�	�	PROPN
bibechana-11687	56	67	,	,	PUNCT
bibechana-11687	56	68	where	where	SCONJ
bibechana-11687	56	69	=	=	SYM
bibechana-11687	56	70	=	=	SYM
bibechana-11687	56	71	�	�	PROPN
bibechana-11687	56	72	q	q	PROPN
bibechana-11687	56	73	�	�	PROPN
bibechana-11687	56	74	√15	√15	PROPN
bibechana-11687	56	75	−	−	PROPN
bibechana-11687	56	76	5	5	NUM
bibechana-11687	56	77	�	�	PROPN
bibechana-11687	56	78	,	,	PUNCT
bibechana-11687	56	79	:	:	PUNCT
bibechana-11687	56	80	=	=	PUNCT
bibechana-11687	56	81	�	�	PROPN
bibechana-11687	56	82	�	�	PROPN
bibechana-11687	56	83	0	0	NUM
bibechana-11687	56	84	�	�	PROPN
bibechana-11687	56	85	s10	s10	PROPN
bibechana-11687	56	86	�	�	PROPN
bibechana-11687	56	87	5	5	NUM
bibechana-11687	56	88	−	−	PROPN
bibechana-11687	56	89	√15	√15	PROPN
bibechana-11687	56	90	�	�	PROPN
bibechana-11687	56	91	�	�	PROPN
bibechana-11687	56	92	.	.	PUNCT
bibechana-11687	56	93	applying	apply	VERB
bibechana-11687	56	94	procedure	procedure	NOUN
bibechana-11687	56	95	defined	define	VERB
bibechana-11687	56	96	in	in	ADP
bibechana-11687	56	97	(	(	PUNCT
bibechana-11687	56	98	11	11	NUM
bibechana-11687	56	99	-	-	SYM
bibechana-11687	56	100	15	15	NUM
bibechana-11687	56	101	)	)	PUNCT
bibechana-11687	56	102	�	�	NOUN
bibechana-11687	56	103	0	0	NUM
bibechana-11687	56	104	=	=	SYM
bibechana-11687	56	105	=	=	SYM
bibechana-11687	56	106	sech	sech	PROPN
bibechana-11687	56	107	�	�	PROPN
bibechana-11687	56	108	�	�	PROPN
bibechana-11687	56	109	:	:	PUNCT
bibechana-11687	56	110	�	�	PROPN
bibechana-11687	56	111	�	�	PROPN
bibechana-11687	56	112	,	,	PUNCT
bibechana-11687	56	113	u	u	NOUN
bibechana-11687	56	114	�	�	PROPN
bibechana-11687	56	115	�	�	PROPN
bibechana-11687	56	116	x	x	PROPN
bibechana-11687	56	117	,	,	PUNCT
bibechana-11687	56	118	s	s	PROPN
bibechana-11687	56	119	�	�	NOUN
bibechana-11687	56	120	=	=	SYM
bibechana-11687	56	121	aσ	aσ	ADP
bibechana-11687	56	122	coshw	coshw	PROPN
bibechana-11687	56	123	�	�	PROPN
bibechana-11687	56	124	cx	cx	PROPN
bibechana-11687	56	125	�	�	PROPN
bibechana-11687	56	126	>	>	PROPN
bibechana-11687	56	127	coshx	coshx	PROPN
bibechana-11687	56	128	�	�	PROPN
bibechana-11687	56	129	cx	cx	PROPN
bibechana-11687	56	130	�	�	PROPN
bibechana-11687	56	131	2c	2c	PROPN
bibechana-11687	56	132	sinh	sinh	PROPN
bibechana-11687	56	133	�	�	PROPN
bibechana-11687	56	134	cx	cx	PROPN
bibechana-11687	56	135	�	�	PROPN
bibechana-11687	56	136	coshq	coshq	PROPN
bibechana-11687	56	137	�	�	PROPN
bibechana-11687	56	138	cx	cx	PROPN
bibechana-11687	56	139	�	�	PROPN
bibechana-11687	56	140	s	s	PART
bibechana-11687	56	141	+	+	NUM
bibechana-11687	56	142	2a	2a	NUM
bibechana-11687	56	143	�	�	PROPN
bibechana-11687	56	144	c	c	PROPN
bibechana-11687	56	145	sinh	sinh	PROPN
bibechana-11687	56	146	�	�	PROPN
bibechana-11687	56	147	cx	cx	PROPN
bibechana-11687	56	148	�	�	PROPN
bibechana-11687	56	149	s32c	s32c	PROPN
bibechana-11687	56	150	�	�	PROPN
bibechana-11687	56	151	a	a	DET
bibechana-11687	56	152	sinh	sinh	PROPN
bibechana-11687	56	153	�	�	PROPN
bibechana-11687	56	154	cx	cx	PROPN
bibechana-11687	56	155	�	�	PROPN
bibechana-11687	56	156	cosh	cosh	PROPN
bibechana-11687	56	157	�	�	PROPN
bibechana-11687	56	158	�	�	PROPN
bibechana-11687	56	159	cx	cx	NOUN
bibechana-11687	56	160	�	�	PROPN
bibechana-11687	56	161	+	+	CCONJ
bibechana-11687	56	162	60ac	60ac	ADJ
bibechana-11687	56	163	�	�	PROPN
bibechana-11687	56	164	sinh	sinh	PROPN
bibechana-11687	56	165	�	�	PROPN
bibechana-11687	56	166	cx	cx	PROPN
bibechana-11687	56	167	�	�	PROPN
bibechana-11687	56	168	s	s	PROPN
bibechana-11687	56	169	,	,	PUNCT
bibechana-11687	56	170	⋮	⋮	NOUN
bibechana-11687	56	171	,	,	PUNCT
bibechana-11687	56	172	and	and	CCONJ
bibechana-11687	56	173	so	so	ADV
bibechana-11687	56	174	on	on	ADV
bibechana-11687	56	175	.	.	PUNCT
bibechana-11687	57	1	applying	apply	VERB
bibechana-11687	57	2	backward	backward	ADJ
bibechana-11687	57	3	substitution	substitution	NOUN
bibechana-11687	57	4	u0	u0	NOUN
bibechana-11687	57	5	=	=	PROPN
bibechana-11687	57	6	a	a	DET
bibechana-11687	57	7	sech	sech	NOUN
bibechana-11687	57	8	2	2	NUM
bibechana-11687	57	9	�	�	PROPN
bibechana-11687	57	10	cx	cx	PROPN
bibechana-11687	57	11	�	�	PROPN
bibechana-11687	57	12	,	,	PUNCT
bibechana-11687	57	13	u1	u1	PROPN
bibechana-11687	57	14	�	�	PROPN
bibechana-11687	57	15	x	x	PROPN
bibechana-11687	57	16	,	,	PUNCT
bibechana-11687	57	17	t	t	PROPN
bibechana-11687	57	18	�	�	PROPN
bibechana-11687	57	19	=	=	PUNCT
bibechana-11687	57	20	a	a	DET
bibechana-11687	57	21	σcosh	σcosh	NOUN
bibechana-11687	57	22	7	7	NUM
bibechana-11687	57	23	�	�	PROPN
bibechana-11687	57	24	cx	cx	NOUN
bibechana-11687	57	25	�	�	PROPN
bibechana-11687	57	26	>	>	PUNCT
bibechana-11687	57	27	cosh	cosh	PROPN
bibechana-11687	57	28	5	5	NUM
bibechana-11687	57	29	�	�	PROPN
bibechana-11687	57	30	cx	cx	NOUN
bibechana-11687	57	31	�	�	PROPN
bibechana-11687	57	32	2c	2c	NUM
bibechana-11687	57	33	sinh	sinh	PROPN
bibechana-11687	57	34	�	�	PROPN
bibechana-11687	57	35	cx	cx	PROPN
bibechana-11687	57	36	�	�	PROPN
bibechana-11687	57	37	cosh	cosh	PROPN
bibechana-11687	57	38	4	4	NUM
bibechana-11687	57	39	�	�	PROPN
bibechana-11687	57	40	cx	cx	NOUN
bibechana-11687	57	41	�	�	PROPN
bibechana-11687	57	42	tα	tα	VERB
bibechana-11687	57	43	+	+	CCONJ
bibechana-11687	57	44	2a2c	2a2c	NUM
bibechana-11687	57	45	sinh	sinh	PROPN
bibechana-11687	57	46	�	�	PROPN
bibechana-11687	57	47	cx	cx	PROPN
bibechana-11687	57	48	�	�	PROPN
bibechana-11687	57	49	tα	tα	PROPN
bibechana-11687	57	50	−	−	PROPN
bibechana-11687	57	51	32c3a	32c3a	NUM
bibechana-11687	57	52	sinh	sinh	NOUN
bibechana-11687	57	53	�	�	PROPN
bibechana-11687	57	54	cx	cx	PROPN
bibechana-11687	57	55	�	�	PROPN
bibechana-11687	57	56	cosh	cosh	PROPN
bibechana-11687	57	57	2	2	NUM
bibechana-11687	57	58	�	�	PROPN
bibechana-11687	57	59	cx	cx	NOUN
bibechana-11687	57	60	�	�	PROPN
bibechana-11687	57	61	+	+	CCONJ
bibechana-11687	57	62	60ac3	60ac3	NUM
bibechana-11687	57	63	sinh	sinh	PROPN
bibechana-11687	57	64	�	�	PROPN
bibechana-11687	57	65	cx	cx	PROPN
bibechana-11687	57	66	�	�	PROPN
bibechana-11687	57	67	tα	tα	PROPN
bibechana-11687	57	68	,	,	PUNCT
bibechana-11687	57	69	(	(	PUNCT
bibechana-11687	57	70	21	21	NUM
bibechana-11687	57	71	)	)	PUNCT
bibechana-11687	57	72	⋮	⋮	NOUN
bibechana-11687	57	73	,	,	PUNCT
bibechana-11687	57	74	and	and	CCONJ
bibechana-11687	57	75	so	so	ADV
bibechana-11687	57	76	on	on	ADV
bibechana-11687	57	77	.	.	PUNCT
bibechana-11687	58	1	the	the	DET
bibechana-11687	58	2	exact	exact	ADJ
bibechana-11687	58	3	solution	solution	NOUN
bibechana-11687	58	4	of	of	ADP
bibechana-11687	58	5	the	the	DET
bibechana-11687	58	6	timefractional	timefractional	ADJ
bibechana-11687	58	7	modified	modify	VERB
bibechana-11687	58	8	fornberg	fornberg	PROPN
bibechana-11687	58	9	-	-	PUNCT
bibechana-11687	58	10	whitham	whitham	NOUN
bibechana-11687	58	11	equation	equation	NOUN
bibechana-11687	58	12	is	be	AUX
bibechana-11687	58	13	obtained	obtain	VERB
bibechana-11687	58	14	[	[	PUNCT
bibechana-11687	58	15	6	6	NUM
bibechana-11687	58	16	]	]	PUNCT
bibechana-11687	58	17	.	.	PUNCT
bibechana-11687	59	1	u	u	PROPN
bibechana-11687	59	2	�	�	PROPN
bibechana-11687	59	3	x	x	PROPN
bibechana-11687	59	4	,	,	PUNCT
bibechana-11687	59	5	t	t	PROPN
bibechana-11687	59	6	�	�	PROPN
bibechana-11687	59	7	=	=	NOUN
bibechana-11687	59	8	asech	asech	NOUN
bibechana-11687	59	9	2	2	NUM
bibechana-11687	59	10	�	�	PROPN
bibechana-11687	59	11	c	c	PROPN
bibechana-11687	59	12	yx	yx	PROPN
bibechana-11687	59	13	−	−	PROPN
bibechana-11687	59	14	�	�	PROPN
bibechana-11687	59	15	5	5	NUM
bibechana-11687	59	16	−	−	PROPN
bibechana-11687	59	17	z15	z15	NUM
bibechana-11687	59	18	�	�	PROPN
bibechana-11687	59	19	t	t	PROPN
bibechana-11687	59	20	�	�	PROPN
bibechana-11687	59	21	{	{	PUNCT
bibechana-11687	59	22	.	.	PUNCT
bibechana-11687	60	1	(	(	PUNCT
bibechana-11687	60	2	22	22	NUM
bibechana-11687	60	3	)	)	PUNCT
bibechana-11687	60	4	graphical	graphical	ADJ
bibechana-11687	60	5	representation	representation	NOUN
bibechana-11687	60	6	of	of	ADP
bibechana-11687	60	7	exact	exact	ADJ
bibechana-11687	60	8	solution	solution	NOUN
bibechana-11687	60	9	(	(	PUNCT
bibechana-11687	60	10	22	22	NUM
bibechana-11687	60	11	)	)	PUNCT
bibechana-11687	60	12	and	and	CCONJ
bibechana-11687	60	13	the	the	DET
bibechana-11687	60	14	approximate	approximate	ADJ
bibechana-11687	60	15	solutions	solution	NOUN
bibechana-11687	60	16	(	(	PUNCT
bibechana-11687	60	17	21	21	NUM
bibechana-11687	60	18	)	)	PUNCT
bibechana-11687	60	19	for	for	ADP
bibechana-11687	60	20	∝=	∝=	NOUN
bibechana-11687	60	21	0.3,0.6,1	0.3,0.6,1	NUM
bibechana-11687	60	22	.	.	PUNCT
bibechana-11687	61	1	ahmad	ahmad	PROPN
bibechana-11687	61	2	and	and	CCONJ
bibechana-11687	61	3	mohyud	mohyud	NOUN
bibechana-11687	61	4	-	-	PUNCT
bibechana-11687	61	5	din/	din/	NOUN
bibechana-11687	61	6	bibechana	bibechana	NOUN
bibechana-11687	61	7	12	12	NUM
bibechana-11687	61	8	(	(	PUNCT
bibechana-11687	61	9	2015	2015	NUM
bibechana-11687	61	10	)	)	PUNCT
bibechana-11687	61	11	59	59	NUM
bibechana-11687	61	12	-	-	SYM
bibechana-11687	61	13	69	69	NUM
bibechana-11687	61	14	:	:	PUNCT
bibechana-11687	61	15	p.	p.	NOUN
bibechana-11687	61	16	64	64	NUM
bibechana-11687	61	17	(	(	PUNCT
bibechana-11687	61	18	a	a	X
bibechana-11687	61	19	)	)	PUNCT
bibechana-11687	61	20	�	�	PROPN
bibechana-11687	61	21	=	=	NOUN
bibechana-11687	61	22	0.3	0.3	NUM
bibechana-11687	61	23	(	(	PUNCT
bibechana-11687	61	24	b	b	NOUN
bibechana-11687	61	25	)	)	PUNCT
bibechana-11687	61	26	�	�	PROPN
bibechana-11687	61	27	=	=	SYM
bibechana-11687	61	28	0.6	0.6	NUM
bibechana-11687	61	29	(	(	PUNCT
bibechana-11687	61	30	c	c	NOUN
bibechana-11687	61	31	)	)	PUNCT
bibechana-11687	61	32	�	�	NOUN
bibechana-11687	61	33	=	=	SYM
bibechana-11687	61	34	1	1	NUM
bibechana-11687	61	35	(	(	PUNCT
bibechana-11687	61	36	d	d	NOUN
bibechana-11687	61	37	)	)	PUNCT
bibechana-11687	61	38	exact	exact	ADJ
bibechana-11687	61	39	solution	solution	NOUN
bibechana-11687	61	40	example	example	NOUN
bibechana-11687	61	41	4.3	4.3	NUM
bibechana-11687	61	42	consider	consider	VERB
bibechana-11687	61	43	timefractional	timefractional	ADJ
bibechana-11687	61	44	wu	wu	PROPN
bibechana-11687	61	45	-	-	PUNCT
bibechana-11687	61	46	zhang	zhang	PROPN
bibechana-11687	61	47	equation	equation	NOUN
bibechana-11687	61	48	,	,	PUNCT
bibechana-11687	61	49	dt	dt	PUNCT
bibechana-11687	61	50	αu	αu	NOUN
bibechana-11687	62	1	+	+	CCONJ
bibechana-11687	62	2	uux	uux	PROPN
bibechana-11687	62	3	+	+	CCONJ
bibechana-11687	62	4	vuy	vuy	X
bibechana-11687	62	5	+	+	CCONJ
bibechana-11687	62	6	wx	wx	X
bibechana-11687	62	7	=	=	SYM
bibechana-11687	62	8	0	0	NUM
bibechana-11687	62	9	,	,	PUNCT
bibechana-11687	62	10	dt	dt	PRON
bibechana-11687	62	11	αv+uvx	αv+uvx	PUNCT
bibechana-11687	62	12	+	+	NUM
bibechana-11687	62	13	vvy	vvy	NOUN
bibechana-11687	62	14	+	+	CCONJ
bibechana-11687	62	15	wy	wy	PROPN
bibechana-11687	62	16	=	=	SYM
bibechana-11687	62	17	0	0	PROPN
bibechana-11687	62	18	,	,	PUNCT
bibechana-11687	62	19	(	(	PUNCT
bibechana-11687	62	20	23	23	NUM
bibechana-11687	62	21	)	)	PUNCT
bibechana-11687	62	22	dt	dt	ADP
bibechana-11687	62	23	αw	αw	ADP
bibechana-11687	62	24	+	+	NUM
bibechana-11687	62	25	�	�	PROPN
bibechana-11687	62	26	uw	uw	NOUN
bibechana-11687	62	27	�	�	PROPN
bibechana-11687	62	28	x	x	PROPN
bibechana-11687	62	29	+	+	PROPN
bibechana-11687	62	30	�	�	PROPN
bibechana-11687	62	31	vw	vw	PROPN
bibechana-11687	62	32	�	�	PROPN
bibechana-11687	62	33	y	y	PROPN
bibechana-11687	62	34	+	+	CCONJ
bibechana-11687	62	35	1	1	NUM
bibechana-11687	62	36	3	3	NUM
bibechana-11687	62	37	�	�	PROPN
bibechana-11687	62	38	uxxx	uxxx	PROPN
bibechana-11687	62	39	+	+	CCONJ
bibechana-11687	62	40	uxyy	uxyy	ADJ
bibechana-11687	62	41	+	+	CCONJ
bibechana-11687	62	42	vxxy	vxxy	NOUN
bibechana-11687	62	43	+	+	CCONJ
bibechana-11687	62	44	vyyy	vyyy	PROPN
bibechana-11687	62	45	�	�	PROPN
bibechana-11687	62	46	=	=	SYM
bibechana-11687	62	47	0	0	PROPN
bibechana-11687	62	48	,	,	PUNCT
bibechana-11687	62	49	with	with	ADP
bibechana-11687	62	50	initial	initial	ADJ
bibechana-11687	62	51	conditions	condition	NOUN
bibechana-11687	62	52	u	u	NOUN
bibechana-11687	62	53	�	�	PROPN
bibechana-11687	62	54	x	x	PROPN
bibechana-11687	62	55	,	,	PUNCT
bibechana-11687	62	56	y	y	PROPN
bibechana-11687	62	57	,	,	PUNCT
bibechana-11687	62	58	0	0	NUM
bibechana-11687	62	59	�	�	NOUN
bibechana-11687	62	60	=	=	PUNCT
bibechana-11687	62	61	−	−	PROPN
bibechana-11687	62	62	k3ak2b0	k3ak2b0	NOUN
bibechana-11687	62	63	k1	k1	NOUN
bibechana-11687	62	64	+	+	CCONJ
bibechana-11687	62	65	2√3	2√3	NUM
bibechana-11687	62	66	3	3	NUM
bibechana-11687	62	67	k1	k1	PROPN
bibechana-11687	62	68	tanh	tanh	PROPN
bibechana-11687	62	69	�	�	PROPN
bibechana-11687	62	70	k1x	k1x	PROPN
bibechana-11687	62	71	+	+	CCONJ
bibechana-11687	62	72	k2y	k2y	PROPN
bibechana-11687	62	73	�	�	PROPN
bibechana-11687	62	74	,	,	PUNCT
bibechana-11687	62	75	v	v	NOUN
bibechana-11687	62	76	�	�	PROPN
bibechana-11687	62	77	x	x	SYM
bibechana-11687	62	78	,	,	PUNCT
bibechana-11687	62	79	y	y	PROPN
bibechana-11687	62	80	,	,	PUNCT
bibechana-11687	62	81	0	0	NUM
bibechana-11687	62	82	�	�	NOUN
bibechana-11687	62	83	=	=	PUNCT
bibechana-11687	62	84	b0	b0	PROPN
bibechana-11687	62	85	+	+	CCONJ
bibechana-11687	62	86	2√3	2√3	NUM
bibechana-11687	62	87	3	3	NUM
bibechana-11687	62	88	k2	k2	PROPN
bibechana-11687	62	89	tanh	tanh	PROPN
bibechana-11687	62	90	�	�	PROPN
bibechana-11687	62	91	k1x	k1x	PROPN
bibechana-11687	62	92	+	+	CCONJ
bibechana-11687	62	93	k2y	k2y	PROPN
bibechana-11687	62	94	�	�	PROPN
bibechana-11687	62	95	,	,	PUNCT
bibechana-11687	62	96	w	w	PROPN
bibechana-11687	62	97	�	�	PROPN
bibechana-11687	62	98	x	x	PROPN
bibechana-11687	62	99	,	,	PUNCT
bibechana-11687	62	100	y	y	PROPN
bibechana-11687	62	101	,	,	PUNCT
bibechana-11687	62	102	0	0	NUM
bibechana-11687	62	103	�	�	X
bibechana-11687	62	104	=	=	SYM
bibechana-11687	62	105	2	2	NUM
bibechana-11687	62	106	3	3	NUM
bibechana-11687	62	107	�	�	NOUN
bibechana-11687	62	108	k1	k1	NOUN
bibechana-11687	62	109	2	2	NUM
bibechana-11687	62	110	+	+	SYM
bibechana-11687	62	111	k2	k2	ADJ
bibechana-11687	62	112	2	2	NUM
bibechana-11687	62	113	�	�	PROPN
bibechana-11687	62	114	sech	sech	NOUN
bibechana-11687	62	115	2	2	NUM
bibechana-11687	62	116	�	�	PROPN
bibechana-11687	62	117	k1x	k1x	PROPN
bibechana-11687	62	118	+	+	CCONJ
bibechana-11687	62	119	k2y	k2y	PROPN
bibechana-11687	62	120	�	�	PROPN
bibechana-11687	62	121	,	,	PUNCT
bibechana-11687	62	122	where	where	SCONJ
bibechana-11687	62	123	|0	|0	X
bibechana-11687	62	124	,	,	PUNCT
bibechana-11687	62	125	}	}	PUNCT
bibechana-11687	62	126	�	�	PROPN
bibechana-11687	62	127	,	,	PUNCT
bibechana-11687	62	128	}	}	PUNCT
bibechana-11687	62	129	�	�	PROPN
bibechana-11687	62	130	and	and	CCONJ
bibechana-11687	62	131	}	}	PUNCT
bibechana-11687	62	132	�	�	PROPN
bibechana-11687	62	133	are	be	AUX
bibechana-11687	62	134	arbitrary	arbitrary	ADJ
bibechana-11687	62	135	constants	constant	NOUN
bibechana-11687	62	136	.	.	PUNCT
bibechana-11687	63	1	applying	apply	VERB
bibechana-11687	63	2	the	the	DET
bibechana-11687	63	3	procedure	procedure	NOUN
bibechana-11687	63	4	defined	define	VERB
bibechana-11687	63	5	above	above	ADP
bibechana-11687	63	6	(	(	PUNCT
bibechana-11687	63	7	10	10	NUM
bibechana-11687	63	8	-	-	SYM
bibechana-11687	63	9	15	15	NUM
bibechana-11687	63	10	)	)	PUNCT
bibechana-11687	63	11	,	,	PUNCT
bibechana-11687	63	12	we	we	PRON
bibechana-11687	63	13	get	get	VERB
bibechana-11687	63	14	u0	u0	ADJ
bibechana-11687	63	15	�	�	PROPN
bibechana-11687	63	16	x	x	PROPN
bibechana-11687	63	17	,	,	PUNCT
bibechana-11687	63	18	y	y	PROPN
bibechana-11687	63	19	,	,	PUNCT
bibechana-11687	63	20	s	s	PROPN
bibechana-11687	63	21	�	�	PROPN
bibechana-11687	63	22	=	=	SYM
bibechana-11687	63	23	−	−	PROPN
bibechana-11687	63	24	~ka~\	~ka~\	PROPN
bibechana-11687	63	25	�	�	PROPN
bibechana-11687	63	26	�	�	PROPN
bibechana-11687	63	27	~	~	SYM
bibechana-11687	63	28	�	�	PROPN
bibechana-11687	63	29	+	+	CCONJ
bibechana-11687	63	30	�	�	PROPN
bibechana-11687	63	31	√	√	NUM
bibechana-11687	63	32	�	�	PROPN
bibechana-11687	63	33	�	�	PROPN
bibechana-11687	63	34	k	k	PROPN
bibechana-11687	63	35	�	�	PROPN
bibechana-11687	63	36	tanh	tanh	PROPN
bibechana-11687	63	37	�	�	PROPN
bibechana-11687	63	38	k	k	NOUN
bibechana-11687	63	39	�	�	PROPN
bibechana-11687	63	40	x	x	PROPN
bibechana-11687	64	1	+	+	CCONJ
bibechana-11687	64	2	k	k	PROPN
bibechana-11687	64	3	�	�	PROPN
bibechana-11687	64	4	y	y	PROPN
bibechana-11687	64	5	�	�	PROPN
bibechana-11687	64	6	,	,	PUNCT
bibechana-11687	64	7	v0	v0	PROPN
bibechana-11687	64	8	�	�	PROPN
bibechana-11687	64	9	x	x	PROPN
bibechana-11687	64	10	,	,	PUNCT
bibechana-11687	64	11	y	y	PROPN
bibechana-11687	64	12	,	,	PUNCT
bibechana-11687	64	13	s	s	PROPN
bibechana-11687	64	14	�	�	NOUN
bibechana-11687	64	15	=	=	PUNCT
bibechana-11687	64	16	b0	b0	PROPN
bibechana-11687	64	17	+	+	CCONJ
bibechana-11687	64	18	�	�	PROPN
bibechana-11687	64	19	√	√	NUM
bibechana-11687	64	20	�	�	PROPN
bibechana-11687	64	21	�	�	PROPN
bibechana-11687	64	22	k	k	PROPN
bibechana-11687	64	23	�	�	PROPN
bibechana-11687	64	24	tanh	tanh	PROPN
bibechana-11687	64	25	�	�	PROPN
bibechana-11687	64	26	k	k	NOUN
bibechana-11687	64	27	�	�	PROPN
bibechana-11687	64	28	x	x	PROPN
bibechana-11687	64	29	+	+	CCONJ
bibechana-11687	64	30	k	k	PROPN
bibechana-11687	64	31	�	�	PROPN
bibechana-11687	64	32	y	y	PROPN
bibechana-11687	64	33	�	�	PROPN
bibechana-11687	64	34	,	,	PUNCT
bibechana-11687	64	35	u0	u0	PROPN
bibechana-11687	64	36	�	�	PROPN
bibechana-11687	64	37	x	x	PROPN
bibechana-11687	64	38	,	,	PUNCT
bibechana-11687	64	39	y	y	PROPN
bibechana-11687	64	40	,	,	PUNCT
bibechana-11687	64	41	s	s	PROPN
bibechana-11687	64	42	�	�	PROPN
bibechana-11687	64	43	=	=	SYM
bibechana-11687	64	44	�	�	PROPN
bibechana-11687	64	45	�	�	PROPN
bibechana-11687	64	46	�	�	PROPN
bibechana-11687	64	47	k	k	PROPN
bibechana-11687	64	48	�	�	PROPN
bibechana-11687	64	49	�	�	PROPN
bibechana-11687	64	50	+	+	CCONJ
bibechana-11687	64	51	k	k	PROPN
bibechana-11687	64	52	�	�	PROPN
bibechana-11687	64	53	�	�	PROPN
bibechana-11687	64	54	�	�	PROPN
bibechana-11687	64	55	sech	sech	PROPN
bibechana-11687	64	56	�	�	PROPN
bibechana-11687	64	57	�	�	PROPN
bibechana-11687	64	58	k	k	NOUN
bibechana-11687	64	59	�	�	PROPN
bibechana-11687	64	60	x	x	PROPN
bibechana-11687	64	61	+	+	CCONJ
bibechana-11687	64	62	k	k	PROPN
bibechana-11687	64	63	�	�	PROPN
bibechana-11687	64	64	y	y	PROPN
bibechana-11687	64	65	�	�	PROPN
bibechana-11687	64	66	,	,	PUNCT
bibechana-11687	64	67	ahmad	ahmad	NOUN
bibechana-11687	64	68	and	and	CCONJ
bibechana-11687	64	69	mohyud	mohyud	NOUN
bibechana-11687	64	70	-	-	PUNCT
bibechana-11687	64	71	din/	din/	NOUN
bibechana-11687	64	72	bibechana	bibechana	NOUN
bibechana-11687	64	73	12	12	NUM
bibechana-11687	64	74	(	(	PUNCT
bibechana-11687	64	75	2015	2015	NUM
bibechana-11687	64	76	)	)	PUNCT
bibechana-11687	64	77	59	59	NUM
bibechana-11687	64	78	-	-	SYM
bibechana-11687	64	79	69	69	NUM
bibechana-11687	64	80	:	:	PUNCT
bibechana-11687	64	81	p.	p.	NOUN
bibechana-11687	64	82	65	65	NUM
bibechana-11687	65	1	u1	u1	PROPN
bibechana-11687	65	2	�	�	PROPN
bibechana-11687	65	3	x	x	PROPN
bibechana-11687	65	4	,	,	PUNCT
bibechana-11687	65	5	y	y	PROPN
bibechana-11687	65	6	,	,	PUNCT
bibechana-11687	65	7	s	s	PROPN
bibechana-11687	65	8	�	�	X
bibechana-11687	65	9	=	=	SYM
bibechana-11687	65	10	1	1	NUM
bibechana-11687	65	11	3	3	NUM
bibechana-11687	65	12	σcosh	σcosh	NOUN
bibechana-11687	65	13	2	2	NUM
bibechana-11687	65	14	�	�	PROPN
bibechana-11687	65	15	k1xak2y	k1xak2y	PROPN
bibechana-11687	65	16	�	�	PROPN
bibechana-11687	65	17	�	�	PROPN
bibechana-11687	65	18	−3k3	−3k3	PROPN
bibechana-11687	65	19	cosh	cosh	PROPN
bibechana-11687	65	20	2	2	NUM
bibechana-11687	65	21	�	�	PROPN
bibechana-11687	65	22	k1x	k1x	PROPN
bibechana-11687	65	23	+	+	CCONJ
bibechana-11687	65	24	k2y	k2y	PROPN
bibechana-11687	65	25	�	�	NOUN
bibechana-11687	65	26	2	2	NUM
bibechana-11687	65	27	−	−	NOUN
bibechana-11687	65	28	3k2	3k2	NUM
bibechana-11687	65	29	c	c	NOUN
bibechana-11687	65	30	cosh	cosh	PROPN
bibechana-11687	65	31	2	2	NUM
bibechana-11687	65	32	�	�	PROPN
bibechana-11687	65	33	k1x	k1x	PROPN
bibechana-11687	65	34	+	+	CCONJ
bibechana-11687	65	35	k2y	k2y	PROPN
bibechana-11687	65	36	�	�	ADJ
bibechana-11687	65	37	2	2	NUM
bibechana-11687	65	38	+	+	CCONJ
bibechana-11687	65	39	2√3k1	2√3k1	NUM
bibechana-11687	65	40	2	2	NUM
bibechana-11687	65	41	sinh	sinh	NOUN
bibechana-11687	65	42	�	�	PROPN
bibechana-11687	65	43	k1x	k1x	PROPN
bibechana-11687	65	44	+	+	CCONJ
bibechana-11687	65	45	k2y	k2y	PROPN
bibechana-11687	65	46	�	�	PROPN
bibechana-11687	65	47	cosh	cosh	PROPN
bibechana-11687	65	48	�	�	PROPN
bibechana-11687	65	49	k1x	k1x	PROPN
bibechana-11687	65	50	+	+	CCONJ
bibechana-11687	65	51	k2y	k2y	PROPN
bibechana-11687	65	52	�	�	PROPN
bibechana-11687	65	53	+	+	CCONJ
bibechana-11687	65	54	2√3k1	2√3k1	NUM
bibechana-11687	65	55	2	2	NUM
bibechana-11687	65	56	sk3	sk3	NOUN
bibechana-11687	65	57	�	�	PROPN
bibechana-11687	65	58	,	,	PUNCT
bibechana-11687	65	59	v1	v1	PROPN
bibechana-11687	65	60	�	�	PROPN
bibechana-11687	65	61	x	x	SYM
bibechana-11687	65	62	,	,	PUNCT
bibechana-11687	65	63	y	y	PROPN
bibechana-11687	65	64	,	,	PUNCT
bibechana-11687	65	65	s	s	PROPN
bibechana-11687	65	66	�	�	X
bibechana-11687	65	67	=	=	SYM
bibechana-11687	65	68	1	1	NUM
bibechana-11687	65	69	3σ	3σ	NUM
bibechana-11687	65	70	cosh	cosh	NOUN
bibechana-11687	65	71	2	2	NUM
bibechana-11687	65	72	�	�	PROPN
bibechana-11687	65	73	k1xak2y	k1xak2y	PROPN
bibechana-11687	65	74	�	�	PROPN
bibechana-11687	65	75	�	�	PROPN
bibechana-11687	65	76	3c	3c	NUM
bibechana-11687	65	77	cosh	cosh	NOUN
bibechana-11687	65	78	2	2	NUM
bibechana-11687	65	79	�	�	PROPN
bibechana-11687	65	80	k1x	k1x	PROPN
bibechana-11687	65	81	+	+	CCONJ
bibechana-11687	65	82	k2y	k2y	PROPN
bibechana-11687	65	83	�	�	ADJ
bibechana-11687	65	84	2	2	NUM
bibechana-11687	65	85	+	+	SYM
bibechana-11687	65	86	2√3	2√3	NUM
bibechana-11687	65	87	k2sinh	k2sinh	PROPN
bibechana-11687	65	88	�	�	PROPN
bibechana-11687	65	89	k1x	k1x	PROPN
bibechana-11687	65	90	+	+	CCONJ
bibechana-11687	65	91	k2y	k2y	PROPN
bibechana-11687	65	92	�	�	PROPN
bibechana-11687	65	93	cosh	cosh	PROPN
bibechana-11687	65	94	�	�	PROPN
bibechana-11687	65	95	k1x	k1x	PROPN
bibechana-11687	65	96	+	+	CCONJ
bibechana-11687	65	97	k2y	k2y	PROPN
bibechana-11687	65	98	�	�	PROPN
bibechana-11687	65	99	+	+	CCONJ
bibechana-11687	65	100	2√3k2sk3	2√3k2sk3	NUM
bibechana-11687	65	101	�	�	PROPN
bibechana-11687	65	102	,	,	PUNCT
bibechana-11687	65	103	w1	w1	PROPN
bibechana-11687	65	104	�	�	PROPN
bibechana-11687	65	105	x	x	PROPN
bibechana-11687	65	106	,	,	PUNCT
bibechana-11687	65	107	y	y	PROPN
bibechana-11687	65	108	,	,	PUNCT
bibechana-11687	65	109	s	s	PROPN
bibechana-11687	65	110	�	�	PROPN
bibechana-11687	65	111	=	=	SYM
bibechana-11687	65	112	−	−	PROPN
bibechana-11687	65	113	2	2	NUM
bibechana-11687	65	114	3σ	3σ	NOUN
bibechana-11687	65	115	cosh	cosh	NOUN
bibechana-11687	65	116	3	3	NUM
bibechana-11687	65	117	�	�	PROPN
bibechana-11687	65	118	k1xak2y	k1xak2y	PROPN
bibechana-11687	65	119	�	�	PROPN
bibechana-11687	65	120	�	�	PROPN
bibechana-11687	65	121	2	2	NUM
bibechana-11687	65	122	sinh	sinh	NOUN
bibechana-11687	65	123	�	�	PROPN
bibechana-11687	65	124	k1x	k1x	PROPN
bibechana-11687	65	125	+	+	CCONJ
bibechana-11687	65	126	k2y	k2y	PROPN
bibechana-11687	65	127	�	�	X
bibechana-11687	65	128	sk3k1	sk3k1	PROPN
bibechana-11687	65	129	2	2	NUM
bibechana-11687	65	130	+	+	SYM
bibechana-11687	65	131	2	2	NUM
bibechana-11687	65	132	sinh	sinh	NOUN
bibechana-11687	65	133	�	�	PROPN
bibechana-11687	65	134	k1x	k1x	PROPN
bibechana-11687	65	135	+	+	CCONJ
bibechana-11687	65	136	k2y	k2y	PROPN
bibechana-11687	65	137	�	�	PROPN
bibechana-11687	65	138	sk3k2	sk3k2	ADJ
bibechana-11687	65	139	2	2	NUM
bibechana-11687	65	140	−	−	NOUN
bibechana-11687	65	141	k1	k1	NOUN
bibechana-11687	65	142	2	2	NUM
bibechana-11687	65	143	cosh	cosh	PROPN
bibechana-11687	65	144	�	�	PROPN
bibechana-11687	65	145	k1x	k1x	PROPN
bibechana-11687	65	146	+	+	CCONJ
bibechana-11687	65	147	k2y	k2y	PROPN
bibechana-11687	65	148	�	�	PROPN
bibechana-11687	65	149	�	�	PROPN
bibechana-11687	65	150	,	,	PUNCT
bibechana-11687	65	151	⋮	⋮	NOUN
bibechana-11687	65	152	,	,	PUNCT
bibechana-11687	65	153	and	and	CCONJ
bibechana-11687	65	154	so	so	ADV
bibechana-11687	65	155	on	on	ADV
bibechana-11687	65	156	.	.	PUNCT
bibechana-11687	65	157	applying	apply	VERB
bibechana-11687	65	158	backward	backward	ADJ
bibechana-11687	65	159	transformation	transformation	NOUN
bibechana-11687	65	160	u1	u1	PROPN
bibechana-11687	65	161	�	�	PROPN
bibechana-11687	65	162	x	x	PROPN
bibechana-11687	65	163	,	,	PUNCT
bibechana-11687	65	164	y	y	PROPN
bibechana-11687	65	165	,	,	PUNCT
bibechana-11687	65	166	t	t	PROPN
bibechana-11687	65	167	�	�	PROPN
bibechana-11687	65	168	=	=	SYM
bibechana-11687	65	169	1	1	NUM
bibechana-11687	65	170	3σ	3σ	NUM
bibechana-11687	65	171	cosh	cosh	NOUN
bibechana-11687	65	172	2	2	NUM
bibechana-11687	65	173	�	�	PROPN
bibechana-11687	65	174	k1xak2y	k1xak2y	PROPN
bibechana-11687	65	175	�	�	PROPN
bibechana-11687	65	176	�	�	PROPN
bibechana-11687	65	177	−3k3	−3k3	PROPN
bibechana-11687	65	178	cosh	cosh	PROPN
bibechana-11687	65	179	2	2	NUM
bibechana-11687	65	180	�	�	PROPN
bibechana-11687	65	181	k1x	k1x	PROPN
bibechana-11687	65	182	+	+	CCONJ
bibechana-11687	65	183	k2y	k2y	PROPN
bibechana-11687	65	184	�	�	NOUN
bibechana-11687	65	185	2	2	NUM
bibechana-11687	65	186	−	−	NOUN
bibechana-11687	65	187	3k2	3k2	NUM
bibechana-11687	65	188	c	c	NOUN
bibechana-11687	65	189	cosh	cosh	PROPN
bibechana-11687	65	190	2	2	NUM
bibechana-11687	65	191	�	�	PROPN
bibechana-11687	65	192	k1x	k1x	PROPN
bibechana-11687	65	193	+	+	CCONJ
bibechana-11687	65	194	k2y	k2y	PROPN
bibechana-11687	65	195	�	�	ADJ
bibechana-11687	65	196	2	2	NUM
bibechana-11687	65	197	+	+	CCONJ
bibechana-11687	65	198	2√3k1	2√3k1	NUM
bibechana-11687	65	199	2	2	NUM
bibechana-11687	65	200	sinh	sinh	NOUN
bibechana-11687	65	201	�	�	PROPN
bibechana-11687	65	202	k1x	k1x	PROPN
bibechana-11687	65	203	+	+	CCONJ
bibechana-11687	65	204	k2y	k2y	PROPN
bibechana-11687	65	205	�	�	PROPN
bibechana-11687	65	206	cosh	cosh	PROPN
bibechana-11687	65	207	�	�	PROPN
bibechana-11687	65	208	k1x	k1x	PROPN
bibechana-11687	65	209	+	+	CCONJ
bibechana-11687	65	210	k2y	k2y	PROPN
bibechana-11687	65	211	�	�	PROPN
bibechana-11687	65	212	+	+	CCONJ
bibechana-11687	65	213	2√3k1	2√3k1	NUM
bibechana-11687	65	214	2	2	NUM
bibechana-11687	65	215	tαk3	tαk3	NOUN
bibechana-11687	65	216	�	�	PROPN
bibechana-11687	65	217	,	,	PUNCT
bibechana-11687	65	218	(	(	PUNCT
bibechana-11687	65	219	24	24	NUM
bibechana-11687	65	220	)	)	PUNCT
bibechana-11687	65	221	v1	v1	PROPN
bibechana-11687	65	222	�	�	PROPN
bibechana-11687	65	223	x	x	SYM
bibechana-11687	65	224	,	,	PUNCT
bibechana-11687	65	225	y	y	PROPN
bibechana-11687	65	226	,	,	PUNCT
bibechana-11687	65	227	t	t	PROPN
bibechana-11687	65	228	�	�	PROPN
bibechana-11687	65	229	=	=	SYM
bibechana-11687	65	230	1	1	NUM
bibechana-11687	65	231	3σ	3σ	NUM
bibechana-11687	65	232	cosh	cosh	NOUN
bibechana-11687	65	233	2	2	NUM
bibechana-11687	65	234	�	�	PROPN
bibechana-11687	65	235	k1xak2y	k1xak2y	PROPN
bibechana-11687	65	236	�	�	PROPN
bibechana-11687	65	237	�	�	PROPN
bibechana-11687	65	238	3c	3c	NUM
bibechana-11687	65	239	cosh	cosh	NOUN
bibechana-11687	65	240	2	2	NUM
bibechana-11687	65	241	�	�	PROPN
bibechana-11687	65	242	k1x	k1x	PROPN
bibechana-11687	65	243	+	+	CCONJ
bibechana-11687	65	244	k2y	k2y	PROPN
bibechana-11687	65	245	�	�	ADJ
bibechana-11687	65	246	2	2	NUM
bibechana-11687	65	247	+	+	SYM
bibechana-11687	65	248	2√3	2√3	NUM
bibechana-11687	65	249	k2sinh	k2sinh	PROPN
bibechana-11687	65	250	�	�	PROPN
bibechana-11687	65	251	k1x	k1x	PROPN
bibechana-11687	65	252	+	+	CCONJ
bibechana-11687	65	253	k2y	k2y	PROPN
bibechana-11687	65	254	�	�	PROPN
bibechana-11687	65	255	cosh	cosh	PROPN
bibechana-11687	65	256	�	�	PROPN
bibechana-11687	65	257	k1x	k1x	PROPN
bibechana-11687	65	258	+	+	CCONJ
bibechana-11687	65	259	k2y	k2y	PROPN
bibechana-11687	65	260	�	�	PROPN
bibechana-11687	65	261	+	+	CCONJ
bibechana-11687	65	262	2√3k2tαk3	2√3k2tαk3	PROPN
bibechana-11687	65	263	�	�	NOUN
bibechana-11687	65	264	,	,	PUNCT
bibechana-11687	65	265	(	(	PUNCT
bibechana-11687	65	266	25	25	NUM
bibechana-11687	65	267	)	)	PUNCT
bibechana-11687	65	268	w	w	PROPN
bibechana-11687	65	269	�	�	PROPN
bibechana-11687	65	270	�	�	PROPN
bibechana-11687	65	271	x	x	PROPN
bibechana-11687	65	272	,	,	PUNCT
bibechana-11687	65	273	y	y	PROPN
bibechana-11687	65	274	,	,	PUNCT
bibechana-11687	65	275	t	t	PROPN
bibechana-11687	65	276	�	�	PROPN
bibechana-11687	65	277	=	=	SYM
bibechana-11687	65	278	−	−	PROPN
bibechana-11687	65	279	�	�	PROPN
bibechana-11687	65	280	�	�	PROPN
bibechana-11687	65	281	�	�	PROPN
bibechana-11687	65	282	�	�	PROPN
bibechana-11687	65	283	�	�	PROPN
bibechana-11687	65	284	�	�	PROPN
bibechana-11687	65	285	�	�	PROPN
bibechana-11687	65	286	k	k	PROPN
bibechana-11687	65	287	�	�	PROPN
bibechana-11687	65	288	~	~	SYM
bibechana-11687	65	289	�	�	PROPN
bibechana-11687	65	290	/a~\	/a~\	SYM
bibechana-11687	65	291	�	�	PROPN
bibechana-11687	65	292	�	�	PROPN
bibechana-11687	65	293	�	�	PROPN
bibechana-11687	65	294	2	2	NUM
bibechana-11687	65	295	sinh	sinh	NOUN
bibechana-11687	65	296	�	�	PROPN
bibechana-11687	65	297	k	k	NOUN
bibechana-11687	65	298	�	�	PROPN
bibechana-11687	65	299	x	x	PROPN
bibechana-11687	65	300	+	+	CCONJ
bibechana-11687	65	301	k	k	PROPN
bibechana-11687	65	302	�	�	PROPN
bibechana-11687	65	303	y	y	PROPN
bibechana-11687	65	304	�	�	PROPN
bibechana-11687	65	305	t	t	PROPN
bibechana-11687	65	306	�	�	PROPN
bibechana-11687	65	307	k	k	PROPN
bibechana-11687	65	308	�	�	PROPN
bibechana-11687	65	309	k	k	PROPN
bibechana-11687	65	310	�	�	PROPN
bibechana-11687	65	311	�	�	PROPN
bibechana-11687	65	312	+	+	CCONJ
bibechana-11687	65	313	2	2	NUM
bibechana-11687	65	314	sinh	sinh	NOUN
bibechana-11687	65	315	�	�	PROPN
bibechana-11687	65	316	k	k	NOUN
bibechana-11687	65	317	�	�	PROPN
bibechana-11687	65	318	x	x	PROPN
bibechana-11687	65	319	+	+	CCONJ
bibechana-11687	65	320	k	k	PROPN
bibechana-11687	65	321	�	�	PROPN
bibechana-11687	65	322	y	y	PROPN
bibechana-11687	65	323	�	�	PROPN
bibechana-11687	65	324	t	t	PROPN
bibechana-11687	65	325	�	�	PROPN
bibechana-11687	65	326	k	k	PROPN
bibechana-11687	65	327	�	�	PROPN
bibechana-11687	65	328	k	k	PROPN
bibechana-11687	65	329	�	�	PROPN
bibechana-11687	65	330	�	�	PROPN
bibechana-11687	65	331	−	−	PROPN
bibechana-11687	65	332	k	k	PROPN
bibechana-11687	65	333	�	�	PROPN
bibechana-11687	65	334	�	�	PROPN
bibechana-11687	65	335	cosh	cosh	PROPN
bibechana-11687	65	336	�	�	PROPN
bibechana-11687	65	337	k	k	PROPN
bibechana-11687	65	338	�	�	PROPN
bibechana-11687	65	339	x	x	PROPN
bibechana-11687	65	340	+	+	CCONJ
bibechana-11687	65	341	k	k	PROPN
bibechana-11687	65	342	�	�	PROPN
bibechana-11687	65	343	y	y	PROPN
bibechana-11687	65	344	�	�	PROPN
bibechana-11687	65	345	�	�	PROPN
bibechana-11687	65	346	,	,	PUNCT
bibechana-11687	65	347	(	(	PUNCT
bibechana-11687	65	348	26	26	NUM
bibechana-11687	65	349	)	)	PUNCT
bibechana-11687	65	350	⋮	⋮	NOUN
bibechana-11687	65	351	,	,	PUNCT
bibechana-11687	65	352	and	and	CCONJ
bibechana-11687	65	353	so	so	ADV
bibechana-11687	65	354	on	on	ADV
bibechana-11687	65	355	.	.	PUNCT
bibechana-11687	66	1	finally	finally	ADV
bibechana-11687	66	2	,	,	PUNCT
bibechana-11687	66	3	we	we	PRON
bibechana-11687	66	4	have	have	VERB
bibechana-11687	66	5	u	u	NOUN
bibechana-11687	66	6	�	�	NOUN
bibechana-11687	66	7	x	x	PROPN
bibechana-11687	66	8	,	,	PUNCT
bibechana-11687	66	9	y	y	PROPN
bibechana-11687	66	10	,	,	PUNCT
bibechana-11687	66	11	t	t	PROPN
bibechana-11687	66	12	�	�	PROPN
bibechana-11687	66	13	=	=	SYM
bibechana-11687	66	14	limn→∞	limn→∞	PROPN
bibechana-11687	66	15	un	un	PROPN
bibechana-11687	66	16	�	�	PROPN
bibechana-11687	66	17	x	x	PROPN
bibechana-11687	66	18	,	,	PUNCT
bibechana-11687	66	19	y	y	PROPN
bibechana-11687	66	20	,	,	PUNCT
bibechana-11687	66	21	t	t	PROPN
bibechana-11687	66	22	�	�	PROPN
bibechana-11687	66	23	,	,	PUNCT
bibechana-11687	66	24	v	v	NOUN
bibechana-11687	66	25	�	�	PROPN
bibechana-11687	66	26	x	x	SYM
bibechana-11687	66	27	,	,	PUNCT
bibechana-11687	66	28	y	y	PROPN
bibechana-11687	66	29	,	,	PUNCT
bibechana-11687	66	30	t	t	PROPN
bibechana-11687	66	31	�	�	PROPN
bibechana-11687	66	32	=	=	SYM
bibechana-11687	66	33	limn→∞	limn→∞	PROPN
bibechana-11687	66	34	vn	vn	PROPN
bibechana-11687	66	35	�	�	PROPN
bibechana-11687	66	36	x	x	PROPN
bibechana-11687	66	37	,	,	PUNCT
bibechana-11687	66	38	y	y	PROPN
bibechana-11687	66	39	,	,	PUNCT
bibechana-11687	66	40	t	t	PROPN
bibechana-11687	66	41	�	�	PROPN
bibechana-11687	66	42	,	,	PUNCT
bibechana-11687	66	43	w	w	PROPN
bibechana-11687	66	44	�	�	PROPN
bibechana-11687	66	45	x	x	PROPN
bibechana-11687	66	46	,	,	PUNCT
bibechana-11687	66	47	y	y	PROPN
bibechana-11687	66	48	,	,	PUNCT
bibechana-11687	66	49	t	t	PROPN
bibechana-11687	66	50	�	�	PROPN
bibechana-11687	66	51	=	=	SYM
bibechana-11687	66	52	limn→∞	limn→∞	PROPN
bibechana-11687	66	53	wn	wn	PROPN
bibechana-11687	66	54	�	�	PROPN
bibechana-11687	66	55	x	x	PROPN
bibechana-11687	66	56	,	,	PUNCT
bibechana-11687	66	57	y	y	PROPN
bibechana-11687	66	58	,	,	PUNCT
bibechana-11687	66	59	t	t	PROPN
bibechana-11687	66	60	�	�	PROPN
bibechana-11687	66	61	.	.	PUNCT
bibechana-11687	67	1	the	the	DET
bibechana-11687	67	2	exact	exact	ADJ
bibechana-11687	67	3	solution	solution	NOUN
bibechana-11687	67	4	of	of	ADP
bibechana-11687	67	5	time	time	NOUN
bibechana-11687	67	6	-	-	PUNCT
bibechana-11687	67	7	fractional	fractional	ADJ
bibechana-11687	67	8	wu	wu	PROPN
bibechana-11687	67	9	-	-	PUNCT
bibechana-11687	67	10	zhang	zhang	PROPN
bibechana-11687	67	11	equations	equations	PROPN
bibechana-11687	68	1	[	[	X
bibechana-11687	68	2	26	26	NUM
bibechana-11687	68	3	]	]	PUNCT
bibechana-11687	68	4	,	,	PUNCT
bibechana-11687	68	5	is	be	AUX
bibechana-11687	68	6	given	give	VERB
bibechana-11687	68	7	by	by	ADP
bibechana-11687	68	8	u	u	NOUN
bibechana-11687	68	9	�	�	PROPN
bibechana-11687	68	10	x	x	PROPN
bibechana-11687	68	11	,	,	PUNCT
bibechana-11687	68	12	y	y	PROPN
bibechana-11687	68	13	,	,	PUNCT
bibechana-11687	68	14	t	t	PROPN
bibechana-11687	68	15	�	�	PROPN
bibechana-11687	68	16	=	=	PUNCT
bibechana-11687	68	17	−	−	PROPN
bibechana-11687	68	18	k3ak2b0	k3ak2b0	NOUN
bibechana-11687	68	19	k1	k1	NOUN
bibechana-11687	68	20	+	+	CCONJ
bibechana-11687	68	21	2√3	2√3	NUM
bibechana-11687	68	22	3	3	NUM
bibechana-11687	68	23	k1	k1	PROPN
bibechana-11687	68	24	tanh	tanh	PROPN
bibechana-11687	68	25	�	�	PROPN
bibechana-11687	68	26	k1x	k1x	PROPN
bibechana-11687	68	27	+	+	CCONJ
bibechana-11687	68	28	k2y	k2y	PROPN
bibechana-11687	68	29	+	+	CCONJ
bibechana-11687	68	30	k3t	k3t	VERB
bibechana-11687	68	31	�	�	PROPN
bibechana-11687	68	32	.	.	PUNCT
bibechana-11687	69	1	(	(	PUNCT
bibechana-11687	69	2	27	27	NUM
bibechana-11687	69	3	)	)	PUNCT
bibechana-11687	69	4	v	v	NOUN
bibechana-11687	69	5	�	�	PROPN
bibechana-11687	69	6	x	x	PROPN
bibechana-11687	69	7	,	,	PUNCT
bibechana-11687	69	8	y	y	PROPN
bibechana-11687	69	9	,	,	PUNCT
bibechana-11687	69	10	t	t	PROPN
bibechana-11687	69	11	�	�	PROPN
bibechana-11687	69	12	=	=	PUNCT
bibechana-11687	69	13	b0	b0	PROPN
bibechana-11687	69	14	+	+	CCONJ
bibechana-11687	69	15	2√3	2√3	NUM
bibechana-11687	69	16	3	3	NUM
bibechana-11687	69	17	k2	k2	PROPN
bibechana-11687	69	18	tanh	tanh	PROPN
bibechana-11687	69	19	�	�	PROPN
bibechana-11687	69	20	k1x	k1x	PROPN
bibechana-11687	70	1	+	+	CCONJ
bibechana-11687	70	2	k2y	k2y	PROPN
bibechana-11687	70	3	+	+	CCONJ
bibechana-11687	70	4	k3t	k3t	VERB
bibechana-11687	70	5	�	�	PROPN
bibechana-11687	70	6	.	.	PUNCT
bibechana-11687	71	1	(	(	PUNCT
bibechana-11687	71	2	28	28	NUM
bibechana-11687	71	3	)	)	PUNCT
bibechana-11687	71	4	w	w	PROPN
bibechana-11687	71	5	�	�	PROPN
bibechana-11687	71	6	x	x	PROPN
bibechana-11687	71	7	,	,	PUNCT
bibechana-11687	71	8	y	y	PROPN
bibechana-11687	71	9	,	,	PUNCT
bibechana-11687	71	10	t	t	PROPN
bibechana-11687	71	11	�	�	PROPN
bibechana-11687	71	12	=	=	SYM
bibechana-11687	71	13	2	2	NUM
bibechana-11687	71	14	3	3	NUM
bibechana-11687	71	15	�	�	NOUN
bibechana-11687	71	16	k1	k1	NOUN
bibechana-11687	71	17	2	2	NUM
bibechana-11687	71	18	+	+	SYM
bibechana-11687	71	19	k2	k2	ADJ
bibechana-11687	71	20	2	2	NUM
bibechana-11687	71	21	�	�	PROPN
bibechana-11687	71	22	sech	sech	NOUN
bibechana-11687	71	23	2	2	NUM
bibechana-11687	71	24	�	�	PROPN
bibechana-11687	71	25	k1x	k1x	PROPN
bibechana-11687	71	26	+	+	CCONJ
bibechana-11687	71	27	k2y	k2y	PROPN
bibechana-11687	71	28	+	+	CCONJ
bibechana-11687	71	29	k3t	k3t	VERB
bibechana-11687	71	30	�	�	PROPN
bibechana-11687	71	31	.	.	PUNCT
bibechana-11687	71	32	(	(	PUNCT
bibechana-11687	71	33	29	29	NUM
bibechana-11687	71	34	)	)	PUNCT
bibechana-11687	71	35	graphical	graphical	ADJ
bibechana-11687	71	36	representation	representation	NOUN
bibechana-11687	71	37	of	of	ADP
bibechana-11687	71	38	exact	exact	ADJ
bibechana-11687	71	39	solution	solution	NOUN
bibechana-11687	71	40	(	(	PUNCT
bibechana-11687	71	41	27	27	NUM
bibechana-11687	71	42	)	)	PUNCT
bibechana-11687	71	43	and	and	CCONJ
bibechana-11687	71	44	the	the	DET
bibechana-11687	71	45	approximate	approximate	ADJ
bibechana-11687	71	46	solution	solution	NOUN
bibechana-11687	71	47	(	(	PUNCT
bibechana-11687	71	48	24	24	NUM
bibechana-11687	71	49	)	)	PUNCT
bibechana-11687	71	50	for	for	ADP
bibechana-11687	71	51	∝=	∝=	NOUN
bibechana-11687	71	52	0.3,0.6,1	0.3,0.6,1	NUM
bibechana-11687	71	53	.	.	PUNCT
bibechana-11687	72	1	ahmad	ahmad	PROPN
bibechana-11687	72	2	and	and	CCONJ
bibechana-11687	72	3	mohyud	mohyud	NOUN
bibechana-11687	72	4	-	-	PUNCT
bibechana-11687	72	5	din/	din/	NOUN
bibechana-11687	72	6	bibechana	bibechana	NOUN
bibechana-11687	72	7	12	12	NUM
bibechana-11687	72	8	(	(	PUNCT
bibechana-11687	72	9	2015	2015	NUM
bibechana-11687	72	10	)	)	PUNCT
bibechana-11687	72	11	59	59	NUM
bibechana-11687	72	12	-	-	SYM
bibechana-11687	72	13	69	69	NUM
bibechana-11687	72	14	:	:	PUNCT
bibechana-11687	72	15	p.	p.	NOUN
bibechana-11687	72	16	66	66	NUM
bibechana-11687	73	1	(	(	PUNCT
bibechana-11687	73	2	a	a	X
bibechana-11687	73	3	)	)	PUNCT
bibechana-11687	73	4	α	α	NOUN
bibechana-11687	73	5	=	=	SYM
bibechana-11687	73	6	0.3	0.3	NUM
bibechana-11687	73	7	(	(	PUNCT
bibechana-11687	73	8	b	b	NOUN
bibechana-11687	73	9	)	)	PUNCT
bibechana-11687	73	10	α	α	NOUN
bibechana-11687	73	11	=	=	SYM
bibechana-11687	73	12	0.6	0.6	NUM
bibechana-11687	73	13	(	(	PUNCT
bibechana-11687	73	14	c	c	NOUN
bibechana-11687	73	15	)	)	PUNCT
bibechana-11687	73	16	α	α	NOUN
bibechana-11687	73	17	=	=	SYM
bibechana-11687	73	18	1	1	NUM
bibechana-11687	73	19	(	(	PUNCT
bibechana-11687	73	20	d	d	NOUN
bibechana-11687	73	21	)	)	PUNCT
bibechana-11687	73	22	exact	exact	ADJ
bibechana-11687	73	23	solution	solution	NOUN
bibechana-11687	73	24	graphical	graphical	ADJ
bibechana-11687	73	25	representation	representation	NOUN
bibechana-11687	73	26	of	of	ADP
bibechana-11687	73	27	the	the	DET
bibechana-11687	73	28	exact	exact	ADJ
bibechana-11687	73	29	solution	solution	NOUN
bibechana-11687	73	30	(	(	PUNCT
bibechana-11687	73	31	28	28	NUM
bibechana-11687	73	32	)	)	PUNCT
bibechana-11687	73	33	and	and	CCONJ
bibechana-11687	73	34	the	the	DET
bibechana-11687	73	35	approximate	approximate	ADJ
bibechana-11687	73	36	solution	solution	NOUN
bibechana-11687	73	37	(	(	PUNCT
bibechana-11687	73	38	25	25	NUM
bibechana-11687	73	39	)	)	PUNCT
bibechana-11687	73	40	for	for	ADP
bibechana-11687	73	41	∝=	∝=	NOUN
bibechana-11687	73	42	0.3,0.6,1	0.3,0.6,1	NUM
bibechana-11687	73	43	.	.	PUNCT
bibechana-11687	74	1	(	(	PUNCT
bibechana-11687	74	2	a	a	X
bibechana-11687	74	3	)	)	PUNCT
bibechana-11687	74	4	α	α	NOUN
bibechana-11687	74	5	=	=	SYM
bibechana-11687	74	6	0.3	0.3	NUM
bibechana-11687	74	7	(	(	PUNCT
bibechana-11687	74	8	b	b	NOUN
bibechana-11687	74	9	)	)	PUNCT
bibechana-11687	74	10	α	α	NOUN
bibechana-11687	74	11	=	=	SYM
bibechana-11687	74	12	0.6	0.6	NUM
bibechana-11687	74	13	(	(	PUNCT
bibechana-11687	74	14	c	c	NOUN
bibechana-11687	74	15	)	)	PUNCT
bibechana-11687	74	16	α	α	NOUN
bibechana-11687	74	17	=	=	SYM
bibechana-11687	74	18	1	1	NUM
bibechana-11687	74	19	(	(	PUNCT
bibechana-11687	74	20	d	d	NOUN
bibechana-11687	74	21	)	)	PUNCT
bibechana-11687	74	22	exact	exact	ADJ
bibechana-11687	74	23	solution	solution	NOUN
bibechana-11687	74	24	ahmad	ahmad	NOUN
bibechana-11687	74	25	and	and	CCONJ
bibechana-11687	74	26	mohyud	mohyud	NOUN
bibechana-11687	74	27	-	-	PUNCT
bibechana-11687	74	28	din/	din/	NOUN
bibechana-11687	74	29	bibechana	bibechana	NOUN
bibechana-11687	74	30	12	12	NUM
bibechana-11687	74	31	(	(	PUNCT
bibechana-11687	74	32	2015	2015	NUM
bibechana-11687	74	33	)	)	PUNCT
bibechana-11687	74	34	59	59	NUM
bibechana-11687	74	35	-	-	SYM
bibechana-11687	74	36	69	69	NUM
bibechana-11687	74	37	:	:	PUNCT
bibechana-11687	75	1	p.	p.	NOUN
bibechana-11687	75	2	67	67	NUM
bibechana-11687	75	3	graphical	graphical	ADJ
bibechana-11687	75	4	representation	representation	NOUN
bibechana-11687	75	5	of	of	ADP
bibechana-11687	75	6	exact	exact	ADJ
bibechana-11687	75	7	solution	solution	NOUN
bibechana-11687	75	8	(	(	PUNCT
bibechana-11687	75	9	29	29	NUM
bibechana-11687	75	10	)	)	PUNCT
bibechana-11687	75	11	and	and	CCONJ
bibechana-11687	75	12	the	the	DET
bibechana-11687	75	13	approximate	approximate	ADJ
bibechana-11687	75	14	solution	solution	NOUN
bibechana-11687	75	15	(	(	PUNCT
bibechana-11687	75	16	26	26	NUM
bibechana-11687	75	17	)	)	PUNCT
bibechana-11687	75	18	for	for	ADP
bibechana-11687	75	19	∝=	∝=	NOUN
bibechana-11687	75	20	0.3,0.6,1	0.3,0.6,1	NUM
bibechana-11687	75	21	.	.	PUNCT
bibechana-11687	76	1	(	(	PUNCT
bibechana-11687	76	2	a	a	X
bibechana-11687	76	3	)	)	PUNCT
bibechana-11687	76	4	α	α	NOUN
bibechana-11687	76	5	=	=	SYM
bibechana-11687	76	6	0.3	0.3	NUM
bibechana-11687	76	7	(	(	PUNCT
bibechana-11687	76	8	b	b	NOUN
bibechana-11687	76	9	)	)	PUNCT
bibechana-11687	76	10	α	α	NOUN
bibechana-11687	76	11	=	=	SYM
bibechana-11687	76	12	0.6	0.6	NUM
bibechana-11687	76	13	(	(	PUNCT
bibechana-11687	76	14	c	c	NOUN
bibechana-11687	76	15	)	)	PUNCT
bibechana-11687	76	16	α	α	NOUN
bibechana-11687	76	17	=	=	SYM
bibechana-11687	76	18	1	1	NUM
bibechana-11687	76	19	(	(	PUNCT
bibechana-11687	76	20	d	d	NOUN
bibechana-11687	76	21	)	)	PUNCT
bibechana-11687	76	22	exact	exact	ADJ
bibechana-11687	76	23	solution	solution	NOUN
bibechana-11687	76	24	5	5	NUM
bibechana-11687	76	25	.	.	PUNCT
bibechana-11687	77	1	conclusions	conclusion	NOUN
bibechana-11687	77	2	applied	apply	VERB
bibechana-11687	77	3	fractional	fractional	ADJ
bibechana-11687	77	4	complex	complex	ADJ
bibechana-11687	77	5	transform	transform	NOUN
bibechana-11687	77	6	(	(	PUNCT
bibechana-11687	77	7	fct	fct	NOUN
bibechana-11687	77	8	)	)	PUNCT
bibechana-11687	77	9	proved	prove	VERB
bibechana-11687	77	10	very	very	ADV
bibechana-11687	77	11	effective	effective	ADJ
bibechana-11687	77	12	to	to	PART
bibechana-11687	77	13	convert	convert	VERB
bibechana-11687	77	14	the	the	DET
bibechana-11687	77	15	given	give	VERB
bibechana-11687	77	16	partial	partial	ADJ
bibechana-11687	77	17	differential	differential	ADJ
bibechana-11687	77	18	equations	equation	NOUN
bibechana-11687	77	19	(	(	PUNCT
bibechana-11687	77	20	pdes	pde	NOUN
bibechana-11687	77	21	)	)	PUNCT
bibechana-11687	77	22	into	into	ADP
bibechana-11687	77	23	corresponding	correspond	VERB
bibechana-11687	77	24	partial	partial	ADJ
bibechana-11687	77	25	differential	differential	ADJ
bibechana-11687	77	26	equations	equation	NOUN
bibechana-11687	77	27	(	(	PUNCT
bibechana-11687	77	28	pdes	pde	NOUN
bibechana-11687	77	29	)	)	PUNCT
bibechana-11687	77	30	and	and	CCONJ
bibechana-11687	77	31	the	the	DET
bibechana-11687	77	32	same	same	ADJ
bibechana-11687	77	33	is	be	AUX
bibechana-11687	77	34	true	true	ADJ
bibechana-11687	77	35	for	for	ADP
bibechana-11687	77	36	its	its	PRON
bibechana-11687	77	37	subsequent	subsequent	ADJ
bibechana-11687	77	38	effect	effect	NOUN
bibechana-11687	77	39	in	in	ADP
bibechana-11687	77	40	variational	variational	ADJ
bibechana-11687	77	41	iteration	iteration	NOUN
bibechana-11687	77	42	method	method	NOUN
bibechana-11687	77	43	(	(	PUNCT
bibechana-11687	77	44	vim	vim	NOUN
bibechana-11687	77	45	)	)	PUNCT
bibechana-11687	77	46	which	which	PRON
bibechana-11687	77	47	was	be	AUX
bibechana-11687	77	48	implemented	implement	VERB
bibechana-11687	77	49	on	on	ADP
bibechana-11687	77	50	the	the	DET
bibechana-11687	77	51	transformed	transform	VERB
bibechana-11687	77	52	pdes	pde	NOUN
bibechana-11687	77	53	.	.	PUNCT
bibechana-11687	78	1	computational	computational	ADJ
bibechana-11687	78	2	work	work	NOUN
bibechana-11687	78	3	fully	fully	ADV
bibechana-11687	78	4	re	re	VERB
bibechana-11687	78	5	-	-	VERB
bibechana-11687	78	6	confirms	confirm	VERB
bibechana-11687	78	7	the	the	DET
bibechana-11687	78	8	reliability	reliability	NOUN
bibechana-11687	78	9	and	and	CCONJ
bibechana-11687	78	10	efficacy	efficacy	NOUN
bibechana-11687	78	11	of	of	ADP
bibechana-11687	78	12	the	the	DET
bibechana-11687	78	13	proposed	propose	VERB
bibechana-11687	78	14	algorithm	algorithm	NOUN
bibechana-11687	78	15	and	and	CCONJ
bibechana-11687	78	16	hence	hence	ADV
bibechana-11687	78	17	it	it	PRON
bibechana-11687	78	18	may	may	AUX
bibechana-11687	78	19	be	be	AUX
bibechana-11687	78	20	concluded	conclude	VERB
bibechana-11687	78	21	that	that	SCONJ
bibechana-11687	78	22	presented	present	VERB
bibechana-11687	78	23	scheme	scheme	NOUN
bibechana-11687	78	24	may	may	AUX
bibechana-11687	78	25	be	be	AUX
bibechana-11687	78	26	applied	apply	VERB
bibechana-11687	78	27	to	to	ADP
bibechana-11687	78	28	a	a	DET
bibechana-11687	78	29	wide	wide	ADJ
bibechana-11687	78	30	range	range	NOUN
bibechana-11687	78	31	of	of	ADP
bibechana-11687	78	32	complex	complex	ADJ
bibechana-11687	78	33	physical	physical	ADJ
bibechana-11687	78	34	problems	problem	NOUN
bibechana-11687	78	35	.	.	PUNCT
bibechana-11687	79	1	references	reference	NOUN
bibechana-11687	79	2	[	[	X
bibechana-11687	79	3	1	1	NUM
bibechana-11687	79	4	]	]	X
bibechana-11687	79	5	g.	g.	PROPN
bibechana-11687	79	6	b.	b.	PROPN
bibechana-11687	79	7	whitham	whitham	PROPN
bibechana-11687	79	8	,	,	PUNCT
bibechana-11687	79	9	variational	variational	ADJ
bibechana-11687	79	10	methods	method	NOUN
bibechana-11687	79	11	and	and	CCONJ
bibechana-11687	79	12	applications	application	NOUN
bibechana-11687	79	13	to	to	ADP
bibechana-11687	79	14	water	water	NOUN
bibechana-11687	79	15	wave	wave	NOUN
bibechana-11687	79	16	.	.	PUNCT
bibechana-11687	80	1	proc	proc	PROPN
bibechana-11687	80	2	.	.	PUNCT
bibechana-11687	81	1	r.	r.	PROPN
bibechana-11687	81	2	soc	soc	PROPN
bibechana-11687	81	3	.	.	PUNCT
bibechana-11687	82	1	lond	lond	PROPN
bibechana-11687	82	2	.	.	PUNCT
bibechana-11687	83	1	ser	ser	PROPN
bibechana-11687	83	2	.	.	PUNCT
bibechana-11687	84	1	a	a	DET
bibechana-11687	84	2	,	,	PUNCT
bibechana-11687	84	3	229	229	NUM
bibechana-11687	84	4	(	(	PUNCT
bibechana-11687	84	5	1967	1967	NUM
bibechana-11687	84	6	)	)	PUNCT
bibechana-11687	84	7	6	6	NUM
bibechana-11687	84	8	-	-	SYM
bibechana-11687	84	9	25	25	NUM
bibechana-11687	84	10	.	.	PUNCT
bibechana-11687	85	1	[	[	X
bibechana-11687	85	2	2	2	X
bibechana-11687	85	3	]	]	PUNCT
bibechana-11687	85	4	j.	j.	PROPN
bibechana-11687	85	5	zhou	zhou	PROPN
bibechana-11687	85	6	and	and	CCONJ
bibechana-11687	85	7	l.	l.	PROPN
bibechana-11687	85	8	tian	tian	PROPN
bibechana-11687	85	9	,	,	PUNCT
bibechana-11687	85	10	j.	j.	PROPN
bibechana-11687	85	11	math	math	PROPN
bibechana-11687	85	12	.	.	PUNCT
bibechana-11687	86	1	anal	anal	PROPN
bibechana-11687	86	2	.	.	PUNCT
bibechana-11687	86	3	appl	appl	PROPN
bibechana-11687	86	4	,	,	PUNCT
bibechana-11687	86	5	.	.	PUNCT
bibechana-11687	87	1	346	346	NUM
bibechana-11687	87	2	(	(	PUNCT
bibechana-11687	87	3	2008	2008	NUM
bibechana-11687	87	4	)	)	PUNCT
bibechana-11687	87	5	255–261	255–261	NUM
bibechana-11687	87	6	.	.	PUNCT
bibechana-11687	88	1	http://dx.doi.org/10.1016/j.jmaa.2008.05.055	http://dx.doi.org/10.1016/j.jmaa.2008.05.055	PRON
bibechana-11687	88	2	[	[	X
bibechana-11687	88	3	3	3	NUM
bibechana-11687	88	4	]	]	X
bibechana-11687	88	5	i.	i.	NOUN
bibechana-11687	88	6	podlubny	podlubny	PROPN
bibechana-11687	88	7	,	,	PUNCT
bibechana-11687	88	8	fractional	fractional	ADJ
bibechana-11687	88	9	differential	differential	ADJ
bibechana-11687	88	10	equations	equation	NOUN
bibechana-11687	88	11	.	.	PUNCT
bibechana-11687	89	1	new	new	PROPN
bibechana-11687	89	2	york	york	PROPN
bibechana-11687	89	3	:	:	PUNCT
bibechana-11687	89	4	academic	academic	ADJ
bibechana-11687	89	5	press	press	NOUN
bibechana-11687	89	6	,	,	PUNCT
bibechana-11687	89	7	(	(	PUNCT
bibechana-11687	89	8	1999	1999	NUM
bibechana-11687	89	9	)	)	PUNCT
bibechana-11687	89	10	.	.	PUNCT
bibechana-11687	90	1	[	[	X
bibechana-11687	90	2	4	4	X
bibechana-11687	90	3	]	]	X
bibechana-11687	90	4	s.	s.	PROPN
bibechana-11687	90	5	momani	momani	PROPN
bibechana-11687	90	6	,	,	PUNCT
bibechana-11687	90	7	math	math	NOUN
bibechana-11687	90	8	.	.	PUNCT
bibechana-11687	91	1	comput	comput	NOUN
bibechana-11687	91	2	.	.	PUNCT
bibechana-11687	92	1	simul	simul	PROPN
bibechana-11687	92	2	.	.	PROPN
bibechana-11687	92	3	,	,	PUNCT
bibechana-11687	92	4	70	70	NUM
bibechana-11687	92	5	(	(	PUNCT
bibechana-11687	92	6	2005	2005	NUM
bibechana-11687	92	7	)	)	PUNCT
bibechana-11687	92	8	110	110	NUM
bibechana-11687	92	9	-	-	SYM
bibechana-11687	92	10	118	118	NUM
bibechana-11687	92	11	.	.	PUNCT
bibechana-11687	93	1	http://dx.doi.org/10.1016/j.matcom.2005.05.001	http://dx.doi.org/10.1016/j.matcom.2005.05.001	VERB
bibechana-11687	94	1	[	[	X
bibechana-11687	94	2	5	5	NUM
bibechana-11687	94	3	]	]	PUNCT
bibechana-11687	94	4	s.	s.	PROPN
bibechana-11687	94	5	momani	momani	PROPN
bibechana-11687	94	6	,	,	PUNCT
bibechana-11687	94	7	chaos	chaos	NOUN
bibechana-11687	94	8	,	,	PUNCT
bibechana-11687	94	9	soliton	soliton	NOUN
bibechana-11687	94	10	.	.	PUNCT
bibechana-11687	95	1	fract	fract	PROPN
bibechana-11687	95	2	.	.	PUNCT
bibechana-11687	96	1	84(4	84(4	NOUN
bibechana-11687	96	2	)	)	PUNCT
bibechana-11687	96	3	(	(	PUNCT
bibechana-11687	96	4	2006	2006	NUM
bibechana-11687	96	5	)	)	PUNCT
bibechana-11687	96	6	930	930	NUM
bibechana-11687	96	7	-	-	SYM
bibechana-11687	96	8	937	937	NUM
bibechana-11687	96	9	.	.	PUNCT
bibechana-11687	97	1	[	[	X
bibechana-11687	97	2	6	6	NUM
bibechana-11687	97	3	]	]	PUNCT
bibechana-11687	97	4	s.	s.	PROPN
bibechana-11687	97	5	hesam	hesam	PROPN
bibechana-11687	97	6	,	,	PUNCT
bibechana-11687	97	7	a.	a.	NOUN
bibechana-11687	97	8	nazemi	nazemi	PROPN
bibechana-11687	97	9	and	and	CCONJ
bibechana-11687	97	10	a.	a.	NOUN
bibechana-11687	97	11	haghbin	haghbin	PROPN
bibechana-11687	97	12	,	,	PUNCT
bibechana-11687	97	13	int	int	PROPN
bibechana-11687	97	14	.	.	PUNCT
bibechana-11687	98	1	j.	j.	PROPN
bibechana-11687	98	2	nonlin	nonlin	PROPN
bibechana-11687	98	3	.	.	PUNCT
bibechana-11687	99	1	sci	sci	PROPN
bibechana-11687	99	2	.	.	PROPN
bibechana-11687	99	3	,	,	PUNCT
bibechana-11687	99	4	13	13	NUM
bibechana-11687	99	5	(	(	PUNCT
bibechana-11687	99	6	2012)158	2012)158	PROPN
bibechana-11687	99	7	-	-	PUNCT
bibechana-11687	99	8	162	162	NUM
bibechana-11687	99	9	.	.	PUNCT
bibechana-11687	100	1	ahmad	ahmad	PROPN
bibechana-11687	100	2	and	and	CCONJ
bibechana-11687	100	3	mohyud	mohyud	NOUN
bibechana-11687	100	4	-	-	PUNCT
bibechana-11687	100	5	din/	din/	NOUN
bibechana-11687	100	6	bibechana	bibechana	NOUN
bibechana-11687	100	7	12	12	NUM
bibechana-11687	100	8	(	(	PUNCT
bibechana-11687	100	9	2015	2015	NUM
bibechana-11687	100	10	)	)	PUNCT
bibechana-11687	100	11	59	59	NUM
bibechana-11687	100	12	-	-	SYM
bibechana-11687	100	13	69	69	NUM
bibechana-11687	100	14	:	:	PUNCT
bibechana-11687	100	15	p.	p.	NOUN
bibechana-11687	100	16	68	68	NUM
bibechana-11687	101	1	[	[	X
bibechana-11687	101	2	7	7	NUM
bibechana-11687	101	3	]	]	PUNCT
bibechana-11687	101	4	m.	m.	NOUN
bibechana-11687	101	5	merdan	merdan	PROPN
bibechana-11687	101	6	,	,	PUNCT
bibechana-11687	101	7	a.	a.	PROPN
bibechana-11687	101	8	gokdogan	gokdogan	PROPN
bibechana-11687	101	9	,	,	PUNCT
bibechana-11687	101	10	a.yıldırım	a.yıldırım	PROPN
bibechana-11687	101	11	and	and	CCONJ
bibechana-11687	101	12	s.	s.	PROPN
bibechana-11687	101	13	t.	t.	PROPN
bibechana-11687	101	14	mohyud	mohyud	PROPN
bibechana-11687	101	15	-	-	PUNCT
bibechana-11687	101	16	din	din	PROPN
bibechana-11687	101	17	,	,	PUNCT
bibechana-11687	101	18	numerical	numerical	PROPN
bibechana-11687	101	19	simulation	simulation	NOUN
bibechana-11687	101	20	of	of	ADP
bibechana-11687	101	21	fractional	fractional	ADJ
bibechana-11687	101	22	fornberg	fornberg	PROPN
bibechana-11687	101	23	-	-	PUNCT
bibechana-11687	101	24	whitham	whitham	NOUN
bibechana-11687	101	25	equation	equation	NOUN
bibechana-11687	101	26	by	by	ADP
bibechana-11687	101	27	differential	differential	ADJ
bibechana-11687	101	28	transformation	transformation	NOUN
bibechana-11687	101	29	method	method	NOUN
bibechana-11687	101	30	,	,	PUNCT
bibechana-11687	101	31	abstract	abstract	ADJ
bibechana-11687	101	32	and	and	CCONJ
bibechana-11687	101	33	applied	apply	VERB
bibechana-11687	101	34	analysis	analysis	NOUN
bibechana-11687	101	35	(	(	PUNCT
bibechana-11687	101	36	2012	2012	NUM
bibechana-11687	101	37	)	)	PUNCT
bibechana-11687	101	38	.	.	PUNCT
bibechana-11687	102	1	http://dx.doi.org/10.1155/2012/965367	http://dx.doi.org/10.1155/2012/965367	PROPN
bibechana-11687	103	1	[	[	X
bibechana-11687	103	2	8	8	NUM
bibechana-11687	103	3	]	]	PUNCT
bibechana-11687	103	4	m.	m.	NOUN
bibechana-11687	103	5	safavi	safavi	PROPN
bibechana-11687	103	6	,	,	PUNCT
bibechana-11687	103	7	journal	journal	NOUN
bibechana-11687	103	8	of	of	ADP
bibechana-11687	103	9	fractional	fractional	ADJ
bibechana-11687	103	10	calculus	calculus	NOUN
bibechana-11687	103	11	and	and	CCONJ
bibechana-11687	103	12	applications	application	NOUN
bibechana-11687	103	13	,	,	PUNCT
bibechana-11687	103	14	4(2	4(2	NUM
bibechana-11687	103	15	)	)	PUNCT
bibechana-11687	103	16	(	(	PUNCT
bibechana-11687	103	17	2013	2013	NUM
bibechana-11687	103	18	)	)	PUNCT
bibechana-11687	103	19	177	177	NUM
bibechana-11687	103	20	-	-	SYM
bibechana-11687	103	21	190	190	NUM
bibechana-11687	103	22	.	.	PUNCT
bibechana-11687	104	1	[	[	X
bibechana-11687	104	2	9	9	NUM
bibechana-11687	104	3	]	]	PUNCT
bibechana-11687	104	4	p.	p.	NOUN
bibechana-11687	104	5	k.	k.	PROPN
bibechana-11687	105	1	gupta	gupta	PROPN
bibechana-11687	105	2	and	and	CCONJ
bibechana-11687	105	3	m.	m.	PROPN
bibechana-11687	105	4	singh	singh	PROPN
bibechana-11687	105	5	,	,	PUNCT
bibechana-11687	105	6	comput	comput	NOUN
bibechana-11687	105	7	.	.	PUNCT
bibechana-11687	106	1	math	math	NOUN
bibechana-11687	106	2	.	.	PUNCT
bibechana-11687	107	1	appl	appl	PROPN
bibechana-11687	107	2	.	.	PROPN
bibechana-11687	107	3	,	,	PUNCT
bibechana-11687	107	4	61(2	61(2	NUM
bibechana-11687	107	5	)	)	PUNCT
bibechana-11687	107	6	(	(	PUNCT
bibechana-11687	107	7	2011	2011	NUM
bibechana-11687	107	8	)	)	PUNCT
bibechana-11687	107	9	250–254	250–254	NUM
bibechana-11687	107	10	.	.	PUNCT
bibechana-11687	108	1	http://dx.doi.org/10.1016/j.camwa.2010.10.045	http://dx.doi.org/10.1016/j.camwa.2010.10.045	PROPN
bibechana-11687	108	2	[	[	X
bibechana-11687	108	3	10	10	NUM
bibechana-11687	108	4	]	]	X
bibechana-11687	108	5	b.	b.	PROPN
bibechana-11687	108	6	fornberg	fornberg	PROPN
bibechana-11687	108	7	,	,	PUNCT
bibechana-11687	108	8	g.b	g.b	PROPN
bibechana-11687	108	9	.	.	PROPN
bibechana-11687	108	10	whitham	whitham	PROPN
bibechana-11687	108	11	,	,	PUNCT
bibechana-11687	108	12	philos	philos	PROPN
bibechana-11687	108	13	.	.	PUNCT
bibechana-11687	109	1	a	a	DET
bibechana-11687	109	2	trans	tran	NOUN
bibechana-11687	109	3	.	.	PUNCT
bibechana-11687	109	4	r.	r.	PROPN
bibechana-11687	109	5	soc	soc	PROPN
bibechana-11687	109	6	.	.	PUNCT
bibechana-11687	110	1	lond	lond	PROPN
bibechana-11687	110	2	.	.	PUNCT
bibechana-11687	111	1	ser	ser	PROPN
bibechana-11687	111	2	.	.	PUNCT
bibechana-11687	112	1	a	a	DET
bibechana-11687	112	2	,	,	PUNCT
bibechana-11687	112	3	289	289	NUM
bibechana-11687	112	4	(	(	PUNCT
bibechana-11687	112	5	1978	1978	NUM
bibechana-11687	112	6	)	)	PUNCT
bibechana-11687	112	7	373404	373404	NUM
bibechana-11687	112	8	.	.	PUNCT
bibechana-11687	113	1	http://dx.doi.org/10.1098/rsta.1978.0064	http://dx.doi.org/10.1098/rsta.1978.0064	PROPN
bibechana-11687	114	1	[	[	X
bibechana-11687	114	2	11	11	NUM
bibechana-11687	114	3	]	]	PUNCT
bibechana-11687	114	4	j.	j.	PROPN
bibechana-11687	114	5	yin	yin	PROPN
bibechana-11687	114	6	,	,	PUNCT
bibechana-11687	114	7	l.	l.	PROPN
bibechana-11687	114	8	tian	tian	PROPN
bibechana-11687	114	9	,	,	PUNCT
bibechana-11687	114	10	x	x	PROPN
bibechana-11687	114	11	fan	fan	PROPN
bibechana-11687	114	12	,	,	PUNCT
bibechana-11687	114	13	j.	j.	PROPN
bibechana-11687	114	14	math	math	PROPN
bibechana-11687	114	15	.	.	PUNCT
bibechana-11687	115	1	anal	anal	PROPN
bibechana-11687	115	2	.	.	PUNCT
bibechana-11687	115	3	appl	appl	PROPN
bibechana-11687	115	4	.	.	PUNCT
bibechana-11687	116	1	368	368	NUM
bibechana-11687	116	2	(	(	PUNCT
bibechana-11687	116	3	2010	2010	NUM
bibechana-11687	116	4	)	)	PUNCT
bibechana-11687	116	5	133–143	133–143	NUM
bibechana-11687	116	6	.	.	PUNCT
bibechana-11687	117	1	http://dx.doi.org/10.1016/j.jmaa.2010.03.037	http://dx.doi.org/10.1016/j.jmaa.2010.03.037	PROPN
bibechana-11687	117	2	[	[	X
bibechana-11687	117	3	12	12	NUM
bibechana-11687	117	4	]	]	PUNCT
bibechana-11687	117	5	b.	b.	PROPN
bibechana-11687	118	1	he	he	PRON
bibechana-11687	118	2	,	,	PUNCT
bibechana-11687	118	3	q.	q.	PROPN
bibechana-11687	118	4	meng	meng	PROPN
bibechana-11687	118	5	,	,	PUNCT
bibechana-11687	118	6	s.	s.	PROPN
bibechana-11687	118	7	li	li	PROPN
bibechana-11687	118	8	,	,	PUNCT
bibechana-11687	118	9	appl	appl	PROPN
bibechana-11687	118	10	.	.	PROPN
bibechana-11687	118	11	math	math	PROPN
bibechana-11687	118	12	.	.	PUNCT
bibechana-11687	119	1	comput	comput	NOUN
bibechana-11687	119	2	.	.	PUNCT
bibechana-11687	119	3	,	,	PUNCT
bibechana-11687	119	4	217(2010)1976–1982	217(2010)1976–1982	NUM
bibechana-11687	119	5	.	.	PUNCT
bibechana-11687	120	1	http://dx.doi.org/10.1016/j.amc.2010.06.055	http://dx.doi.org/10.1016/j.amc.2010.06.055	NOUN
bibechana-11687	121	1	[	[	X
bibechana-11687	121	2	13]j	13]j	NUM
bibechana-11687	121	3	.	.	PUNCT
bibechana-11687	122	1	h.	h.	PROPN
bibechana-11687	122	2	he	he	PRON
bibechana-11687	122	3	,	,	PUNCT
bibechana-11687	122	4	int	int	PROPN
bibechana-11687	122	5	.	.	PUNCT
bibechana-11687	123	1	j.	j.	PROPN
bibechana-11687	123	2	nonlin	nonlin	PROPN
bibechana-11687	123	3	mech	mech	PROPN
bibechana-11687	123	4	.	.	PUNCT
bibechana-11687	123	5	,	,	PUNCT
bibechana-11687	123	6	34	34	NUM
bibechana-11687	123	7	(	(	PUNCT
bibechana-11687	123	8	1999	1999	NUM
bibechana-11687	123	9	)	)	PUNCT
bibechana-11687	123	10	699	699	NUM
bibechana-11687	123	11	-	-	SYM
bibechana-11687	123	12	708	708	NUM
bibechana-11687	123	13	.	.	PUNCT
bibechana-11687	124	1	http://dx.doi.org/10.1016/s0020-7462(98)00048-1	http://dx.doi.org/10.1016/s0020-7462(98)00048-1	PROPN
bibechana-11687	125	1	[	[	X
bibechana-11687	125	2	14	14	NUM
bibechana-11687	125	3	]	]	X
bibechana-11687	125	4	s.	s.	PROPN
bibechana-11687	125	5	t.	t.	PROPN
bibechana-11687	125	6	mohyud	mohyud	PROPN
bibechana-11687	125	7	-	-	PUNCT
bibechana-11687	125	8	din	din	PROPN
bibechana-11687	125	9	,	,	PUNCT
bibechana-11687	125	10	m.	m.	NOUN
bibechana-11687	125	11	a.	a.	PROPN
bibechana-11687	125	12	noor	noor	PROPN
bibechana-11687	125	13	and	and	CCONJ
bibechana-11687	125	14	k.	k.	PROPN
bibechana-11687	125	15	i.	i.	PROPN
bibechana-11687	125	16	noor	noor	PROPN
bibechana-11687	125	17	,	,	PUNCT
bibechana-11687	125	18	some	some	DET
bibechana-11687	125	19	relatively	relatively	ADV
bibechana-11687	125	20	new	new	ADJ
bibechana-11687	125	21	techniques	technique	NOUN
bibechana-11687	125	22	for	for	ADP
bibechana-11687	125	23	nonlinear	nonlinear	ADJ
bibechana-11687	125	24	problems	problem	NOUN
bibechana-11687	125	25	,	,	PUNCT
bibechana-11687	125	26	mathematical	mathematical	ADJ
bibechana-11687	125	27	problems	problem	NOUN
bibechana-11687	125	28	in	in	ADP
bibechana-11687	125	29	engineering	engineering	NOUN
bibechana-11687	125	30	,	,	PUNCT
bibechana-11687	125	31	(	(	PUNCT
bibechana-11687	125	32	2009	2009	NUM
bibechana-11687	125	33	)	)	PUNCT
bibechana-11687	125	34	;	;	PUNCT
bibechana-11687	125	35	http://dx.doi.org/10.1155/2009/234849	http://dx.doi.org/10.1155/2009/234849	NOUN
bibechana-11687	125	36	[	[	X
bibechana-11687	125	37	15	15	NUM
bibechana-11687	125	38	]	]	X
bibechana-11687	125	39	s.	s.	PROPN
bibechana-11687	125	40	t.	t.	PROPN
bibechana-11687	125	41	mohyud	mohyud	PROPN
bibechana-11687	125	42	-	-	PUNCT
bibechana-11687	125	43	din	din	PROPN
bibechana-11687	125	44	,	,	PUNCT
bibechana-11687	125	45	m.	m.	NOUN
bibechana-11687	125	46	a.	a.	PROPN
bibechana-11687	125	47	noor	noor	PROPN
bibechana-11687	125	48	,	,	PUNCT
bibechana-11687	125	49	k.	k.	PROPN
bibechana-11687	125	50	i.	i.	PROPN
bibechana-11687	125	51	noor	noor	PROPN
bibechana-11687	125	52	and	and	CCONJ
bibechana-11687	125	53	m.	m.	PROPN
bibechana-11687	125	54	m.	m.	PROPN
bibechana-11687	125	55	hosseini	hosseini	PROPN
bibechana-11687	125	56	,	,	PUNCT
bibechana-11687	125	57	int	int	PROPN
bibechana-11687	125	58	.	.	PUNCT
bibechana-11687	126	1	j.	j.	PROPN
bibechana-11687	126	2	nonlin	nonlin	PROPN
bibechana-11687	126	3	.	.	PUNCT
bibechana-11687	127	1	sci	sci	PROPN
bibechana-11687	127	2	.	.	PUNCT
bibechana-11687	127	3	numer	numer	PROPN
bibechana-11687	127	4	.	.	PUNCT
bibechana-11687	128	1	simul	simul	PROPN
bibechana-11687	128	2	.	.	PROPN
bibechana-11687	128	3	,	,	PUNCT
bibechana-11687	128	4	11	11	NUM
bibechana-11687	128	5	(	(	PUNCT
bibechana-11687	128	6	2010	2010	NUM
bibechana-11687	128	7	)	)	PUNCT
bibechana-11687	128	8	81	81	NUM
bibechana-11687	128	9	-	-	SYM
bibechana-11687	128	10	86	86	NUM
bibechana-11687	128	11	.	.	PUNCT
bibechana-11687	129	1	[	[	X
bibechana-11687	129	2	16	16	NUM
bibechana-11687	129	3	]	]	PUNCT
bibechana-11687	129	4	j.	j.	PROPN
bibechana-11687	129	5	ahmad	ahmad	PROPN
bibechana-11687	129	6	,	,	PUNCT
bibechana-11687	129	7	q.	q.	PROPN
bibechana-11687	129	8	m.	m.	PROPN
bibechana-11687	129	9	hassan	hassan	PROPN
bibechana-11687	129	10	,	,	PUNCT
bibechana-11687	129	11	s.	s.	PROPN
bibechana-11687	129	12	t.	t.	PROPN
bibechana-11687	129	13	mohyud	mohyud	PROPN
bibechana-11687	129	14	-	-	PUNCT
bibechana-11687	129	15	din	din	PROPN
bibechana-11687	129	16	,	,	PUNCT
bibechana-11687	129	17	journal	journal	NOUN
bibechana-11687	129	18	of	of	ADP
bibechana-11687	129	19	fractional	fractional	ADJ
bibechana-11687	129	20	calculus	calculus	NOUN
bibechana-11687	129	21	and	and	CCONJ
bibechana-11687	129	22	applications	application	NOUN
bibechana-11687	129	23	,	,	PUNCT
bibechana-11687	129	24	4(2	4(2	NUM
bibechana-11687	129	25	)	)	PUNCT
bibechana-11687	129	26	(	(	PUNCT
bibechana-11687	129	27	2013	2013	NUM
bibechana-11687	129	28	)	)	PUNCT
bibechana-11687	129	29	349	349	NUM
bibechana-11687	129	30	-	-	SYM
bibechana-11687	129	31	356	356	NUM
bibechana-11687	129	32	.	.	PUNCT
bibechana-11687	130	1	[	[	X
bibechana-11687	130	2	17	17	NUM
bibechana-11687	130	3	]	]	X
bibechana-11687	130	4	a.	a.	NOUN
bibechana-11687	130	5	yıldırım	yıldırım	PROPN
bibechana-11687	130	6	,	,	PUNCT
bibechana-11687	130	7	h.	h.	PROPN
bibechana-11687	130	8	koçak	koçak	PROPN
bibechana-11687	130	9	,	,	PUNCT
bibechana-11687	130	10	advances	advance	NOUN
bibechana-11687	130	11	in	in	ADP
bibechana-11687	130	12	water	water	NOUN
bibechana-11687	130	13	resources	resource	NOUN
bibechana-11687	130	14	,	,	PUNCT
bibechana-11687	130	15	32(12	32(12	NUM
bibechana-11687	130	16	)	)	PUNCT
bibechana-11687	130	17	(	(	PUNCT
bibechana-11687	130	18	2009	2009	NUM
bibechana-11687	130	19	)	)	PUNCT
bibechana-11687	130	20	1711	1711	NUM
bibechana-11687	130	21	-	-	SYM
bibechana-11687	130	22	1716	1716	NUM
bibechana-11687	130	23	.	.	PUNCT
bibechana-11687	131	1	http://dx.doi.org/10.1016/j.advwatres.2009.09.003	http://dx.doi.org/10.1016/j.advwatres.2009.09.003	NOUN
bibechana-11687	131	2	[	[	X
bibechana-11687	131	3	18	18	NUM
bibechana-11687	131	4	]	]	X
bibechana-11687	131	5	r.	r.	PROPN
bibechana-11687	131	6	gorenflo	gorenflo	PROPN
bibechana-11687	131	7	,	,	PUNCT
bibechana-11687	131	8	f.	f.	PROPN
bibechana-11687	131	9	mainardi	mainardi	PROPN
bibechana-11687	131	10	,	,	PUNCT
bibechana-11687	131	11	fractional	fractional	ADJ
bibechana-11687	131	12	calculus	calculus	NOUN
bibechana-11687	131	13	:	:	PUNCT
bibechana-11687	131	14	integral	integral	ADJ
bibechana-11687	131	15	and	and	CCONJ
bibechana-11687	131	16	differential	differential	ADJ
bibechana-11687	131	17	equations	equation	NOUN
bibechana-11687	131	18	of	of	ADP
bibechana-11687	131	19	fractional	fractional	ADJ
bibechana-11687	131	20	order	order	NOUN
bibechana-11687	131	21	,	,	PUNCT
bibechana-11687	131	22	in	in	ADP
bibechana-11687	131	23	:	:	PUNCT
bibechana-11687	131	24	a.	a.	NOUN
bibechana-11687	131	25	carpinteri	carpinteri	PROPN
bibechana-11687	131	26	,	,	PUNCT
bibechana-11687	131	27	f.	f.	PROPN
bibechana-11687	131	28	mainardi	mainardi	PROPN
bibechana-11687	131	29	(	(	PUNCT
bibechana-11687	131	30	eds	eds	PROPN
bibechana-11687	131	31	.	.	PUNCT
bibechana-11687	131	32	)	)	PUNCT
bibechana-11687	131	33	,	,	PUNCT
bibechana-11687	131	34	fractals	fractal	NOUN
bibechana-11687	131	35	and	and	CCONJ
bibechana-11687	131	36	fractional	fractional	ADJ
bibechana-11687	131	37	calculus	calculus	NOUN
bibechana-11687	131	38	,	,	PUNCT
bibechana-11687	131	39	new	new	PROPN
bibechana-11687	131	40	york	york	PROPN
bibechana-11687	131	41	,	,	PUNCT
bibechana-11687	131	42	(	(	PUNCT
bibechana-11687	131	43	1997	1997	NUM
bibechana-11687	131	44	)	)	PUNCT
bibechana-11687	131	45	.	.	PUNCT
bibechana-11687	132	1	http://dx.doi.org/10.1007/978-3-7091-2664-6_6	http://dx.doi.org/10.1007/978-3-7091-2664-6_6	NOUN
bibechana-11687	132	2	[	[	X
bibechana-11687	132	3	19	19	NUM
bibechana-11687	132	4	]	]	X
bibechana-11687	132	5	r.	r.	NOUN
bibechana-11687	132	6	hilfer	hilfer	PROPN
bibechana-11687	132	7	,	,	PUNCT
bibechana-11687	132	8	applications	application	NOUN
bibechana-11687	132	9	of	of	ADP
bibechana-11687	132	10	fractional	fractional	ADJ
bibechana-11687	132	11	calculus	calculus	NOUN
bibechana-11687	132	12	in	in	ADP
bibechana-11687	132	13	physics	physics	PROPN
bibechana-11687	132	14	,	,	PUNCT
bibechana-11687	132	15	world	world	NOUN
bibechana-11687	132	16	scientific	scientific	PROPN
bibechana-11687	132	17	,	,	PUNCT
bibechana-11687	132	18	singapore	singapore	PROPN
bibechana-11687	132	19	,	,	PUNCT
bibechana-11687	132	20	(	(	PUNCT
bibechana-11687	132	21	2000	2000	NUM
bibechana-11687	132	22	)	)	PUNCT
bibechana-11687	132	23	.	.	PUNCT
bibechana-11687	133	1	[	[	X
bibechana-11687	133	2	20	20	NUM
bibechana-11687	133	3	]	]	PUNCT
bibechana-11687	133	4	j.	j.	PROPN
bibechana-11687	133	5	h.	h.	PROPN
bibechana-11687	133	6	he	he	PROPN
bibechana-11687	133	7	,	,	PUNCT
bibechana-11687	133	8	s.	s.	PROPN
bibechana-11687	133	9	k.	k.	PROPN
bibechana-11687	133	10	elagan	elagan	PROPN
bibechana-11687	133	11	and	and	CCONJ
bibechana-11687	133	12	z.	z.	PROPN
bibechana-11687	133	13	b.	b.	PROPN
bibechana-11687	133	14	li	li	PROPN
bibechana-11687	133	15	,	,	PUNCT
bibechana-11687	133	16	phys	phys	PROPN
bibechana-11687	133	17	.	.	PUNCT
bibechana-11687	134	1	lett	lett	PROPN
bibechana-11687	134	2	.	.	PUNCT
bibechana-11687	135	1	a	a	PRON
bibechana-11687	135	2	,	,	PUNCT
bibechana-11687	135	3	376	376	NUM
bibechana-11687	135	4	(	(	PUNCT
bibechana-11687	135	5	2012	2012	NUM
bibechana-11687	135	6	)	)	PUNCT
bibechana-11687	136	1	257–259	257–259	NUM
bibechana-11687	136	2	.	.	PUNCT
bibechana-11687	137	1	http://dx.doi.org/10.1016/j.physleta.2011.11.030	http://dx.doi.org/10.1016/j.physleta.2011.11.030	PROPN
bibechana-11687	138	1	[	[	X
bibechana-11687	138	2	21	21	NUM
bibechana-11687	138	3	]	]	PUNCT
bibechana-11687	138	4	z.	z.	PROPN
bibechana-11687	138	5	b.	b.	PROPN
bibechana-11687	138	6	li	li	PROPN
bibechana-11687	138	7	,	,	PUNCT
bibechana-11687	138	8	j.	j.	PROPN
bibechana-11687	138	9	nonlin	nonlin	PROPN
bibechana-11687	138	10	.	.	PUNCT
bibechana-11687	139	1	sci	sci	PROPN
bibechana-11687	139	2	.	.	PUNCT
bibechana-11687	139	3	numer	numer	PROPN
bibechana-11687	139	4	.	.	PUNCT
bibechana-11687	140	1	simul	simul	PROPN
bibechana-11687	140	2	.	.	PROPN
bibechana-11687	140	3	,	,	PUNCT
bibechana-11687	140	4	11	11	NUM
bibechana-11687	140	5	(	(	PUNCT
bibechana-11687	140	6	2010	2010	NUM
bibechana-11687	140	7	)	)	PUNCT
bibechana-11687	140	8	0335	0335	NUM
bibechana-11687	140	9	-	-	SYM
bibechana-11687	140	10	0337	0337	NUM
bibechana-11687	140	11	.	.	PUNCT
bibechana-11687	141	1	[	[	X
bibechana-11687	141	2	22	22	NUM
bibechana-11687	141	3	]	]	PUNCT
bibechana-11687	142	1	j.	j.	PROPN
bibechana-11687	142	2	h.	h.	PROPN
bibechana-11687	142	3	he	he	PROPN
bibechana-11687	142	4	and	and	CCONJ
bibechana-11687	142	5	z.	z.	PROPN
bibechana-11687	142	6	b.	b.	PROPN
bibechana-11687	142	7	li	li	PROPN
bibechana-11687	142	8	,	,	PUNCT
bibechana-11687	142	9	converting	convert	VERB
bibechana-11687	142	10	fractional	fractional	ADJ
bibechana-11687	142	11	differential	differential	ADJ
bibechana-11687	142	12	equations	equation	NOUN
bibechana-11687	142	13	into	into	ADP
bibechana-11687	142	14	partial	partial	ADJ
bibechana-11687	142	15	differential	differential	NOUN
bibechana-11687	142	16	equations	equation	NOUN
bibechana-11687	142	17	,	,	PUNCT
bibechana-11687	142	18	thermal	thermal	ADJ
bibechana-11687	142	19	science	science	NOUN
bibechana-11687	142	20	,	,	PUNCT
bibechana-11687	142	21	16	16	NUM
bibechana-11687	142	22	(	(	PUNCT
bibechana-11687	142	23	2012)331	2012)331	NUM
bibechana-11687	142	24	-	-	NUM
bibechana-11687	142	25	334	334	NUM
bibechana-11687	142	26	.	.	PUNCT
bibechana-11687	143	1	http://dx.doi.org/	http://dx.doi.org/	PRON
bibechana-11687	143	2	10.2298	10.2298	NUM
bibechana-11687	143	3	/	/	SYM
bibechana-11687	143	4	tsci110503068h	tsci110503068h	NOUN
bibechana-11687	143	5	[	[	X
bibechana-11687	143	6	23	23	NUM
bibechana-11687	143	7	]	]	PUNCT
bibechana-11687	143	8	a.	a.	NOUN
bibechana-11687	143	9	kamran	kamran	PROPN
bibechana-11687	143	10	,	,	PUNCT
bibechana-11687	143	11	e.	e.	PROPN
bibechana-11687	143	12	azhar	azhar	PROPN
bibechana-11687	143	13	,	,	PUNCT
bibechana-11687	143	14	a.	a.	PROPN
bibechana-11687	143	15	a.	a.	PROPN
bibechana-11687	143	16	khan	khan	PROPN
bibechana-11687	143	17	and	and	CCONJ
bibechana-11687	143	18	s.t	s.t	PROPN
bibechana-11687	143	19	.	.	PROPN
bibechana-11687	143	20	mohyud	mohyud	PROPN
bibechana-11687	143	21	-	-	PUNCT
bibechana-11687	143	22	din	din	PROPN
bibechana-11687	143	23	,	,	PUNCT
bibechana-11687	143	24	journal	journal	NOUN
bibechana-11687	143	25	of	of	ADP
bibechana-11687	143	26	fractional	fractional	ADJ
bibechana-11687	143	27	calculus	calculus	NOUN
bibechana-11687	143	28	and	and	CCONJ
bibechana-11687	143	29	applications	application	NOUN
bibechana-11687	143	30	,	,	PUNCT
bibechana-11687	143	31	5(2	5(2	NUM
bibechana-11687	143	32	)	)	PUNCT
bibechana-11687	143	33	(	(	PUNCT
bibechana-11687	143	34	2014),176	2014),176	NOUN
bibechana-11687	143	35	-	-	SYM
bibechana-11687	143	36	186	186	NUM
bibechana-11687	143	37	.	.	PUNCT
bibechana-11687	144	1	[	[	X
bibechana-11687	144	2	24	24	NUM
bibechana-11687	144	3	]	]	X
bibechana-11687	144	4	g.	g.	PROPN
bibechana-11687	144	5	jumarie	jumarie	PROPN
bibechana-11687	144	6	,	,	PUNCT
bibechana-11687	144	7	comput	comput	ADJ
bibechana-11687	144	8	math	math	NOUN
bibechana-11687	144	9	.	.	PUNCT
bibechana-11687	145	1	appl	appl	PROPN
bibechana-11687	145	2	.	.	PROPN
bibechana-11687	145	3	,	,	PUNCT
bibechana-11687	145	4	51(9	51(9	NOUN
bibechana-11687	145	5	-	-	SYM
bibechana-11687	145	6	10	10	NUM
bibechana-11687	145	7	)	)	PUNCT
bibechana-11687	145	8	(	(	PUNCT
bibechana-11687	145	9	2006	2006	NUM
bibechana-11687	145	10	)	)	PUNCT
bibechana-11687	145	11	1367	1367	NUM
bibechana-11687	145	12	-	-	SYM
bibechana-11687	145	13	1376	1376	NUM
bibechana-11687	145	14	.	.	PUNCT
bibechana-11687	146	1	http://dx.doi.org/10.1016/j.camwa.2006.02.001	http://dx.doi.org/10.1016/j.camwa.2006.02.001	PROPN
bibechana-11687	146	2	[	[	X
bibechana-11687	146	3	25	25	NUM
bibechana-11687	146	4	]	]	X
bibechana-11687	146	5	g.	g.	PROPN
bibechana-11687	146	6	jumarie	jumarie	PROPN
bibechana-11687	146	7	,	,	PUNCT
bibechana-11687	146	8	app	app	PROPN
bibechana-11687	146	9	.	.	PROPN
bibechana-11687	146	10	math	math	PROPN
bibechana-11687	146	11	.	.	PUNCT
bibechana-11687	147	1	lett	lett	PROPN
bibechana-11687	147	2	.	.	PROPN
bibechana-11687	147	3	,	,	PUNCT
bibechana-11687	147	4	23(12	23(12	NUM
bibechana-11687	147	5	)	)	PUNCT
bibechana-11687	147	6	(	(	PUNCT
bibechana-11687	147	7	2010	2010	NUM
bibechana-11687	147	8	)	)	PUNCT
bibechana-11687	147	9	1444	1444	NUM
bibechana-11687	147	10	-	-	SYM
bibechana-11687	147	11	1450	1450	NUM
bibechana-11687	147	12	.	.	PUNCT
bibechana-11687	148	1	http://dx.doi.org/10.1016/j.aml.2010.08.001	http://dx.doi.org/10.1016/j.aml.2010.08.001	PROPN
bibechana-11687	148	2	ahmad	ahmad	PROPN
bibechana-11687	148	3	and	and	CCONJ
bibechana-11687	148	4	mohyud	mohyud	NOUN
bibechana-11687	148	5	-	-	PUNCT
bibechana-11687	148	6	din/	din/	NOUN
bibechana-11687	148	7	bibechana	bibechana	NOUN
bibechana-11687	148	8	12	12	NUM
bibechana-11687	148	9	(	(	PUNCT
bibechana-11687	148	10	2015	2015	NUM
bibechana-11687	148	11	)	)	PUNCT
bibechana-11687	148	12	59	59	NUM
bibechana-11687	148	13	-	-	SYM
bibechana-11687	148	14	69	69	NUM
bibechana-11687	148	15	:	:	PUNCT
bibechana-11687	148	16	p.	p.	NOUN
bibechana-11687	148	17	69	69	NUM
bibechana-11687	149	1	[	[	X
bibechana-11687	149	2	26	26	NUM
bibechana-11687	149	3	]	]	PUNCT
bibechana-11687	149	4	z.	z.	PROPN
bibechana-11687	149	5	y.	y.	PROPN
bibechana-11687	149	6	ma	ma	PROPN
bibechana-11687	149	7	,	,	PUNCT
bibechana-11687	149	8	journal	journal	NOUN
bibechana-11687	149	9	of	of	ADP
bibechana-11687	149	10	physics	physics	PROPN
bibechana-11687	149	11	,	,	PUNCT
bibechana-11687	149	12	96(1	96(1	NUM
bibechana-11687	149	13	)	)	PUNCT
bibechana-11687	149	14	(	(	PUNCT
bibechana-11687	149	15	2008	2008	NUM
bibechana-11687	149	16	)	)	PUNCT
bibechana-11687	149	17	012182	012182	NUM
bibechana-11687	149	18	.	.	PUNCT
bibechana-11687	150	1	http://dx.doi.org/10.1088/1742-6596/96/1/012182	http://dx.doi.org/10.1088/1742-6596/96/1/012182	NOUN
bibechana-11687	151	1	[	[	X
bibechana-11687	151	2	27	27	NUM
bibechana-11687	151	3	]	]	X
bibechana-11687	151	4	n.	n.	NOUN
bibechana-11687	151	5	taghizadeh	taghizadeh	PROPN
bibechana-11687	151	6	,	,	PUNCT
bibechana-11687	151	7	m.	m.	NOUN
bibechana-11687	151	8	akbari	akbari	PROPN
bibechana-11687	151	9	and	and	CCONJ
bibechana-11687	151	10	m.	m.	NOUN
bibechana-11687	151	11	shahidi	shahidi	PROPN
bibechana-11687	151	12	,	,	PUNCT
bibechana-11687	151	13	australian	australian	ADJ
bibechana-11687	151	14	journal	journal	NOUN
bibechana-11687	151	15	of	of	ADP
bibechana-11687	151	16	basic	basic	ADJ
bibechana-11687	151	17	and	and	CCONJ
bibechana-11687	151	18	applied	applied	ADJ
bibechana-11687	151	19	sciences	science	NOUN
bibechana-11687	151	20	,	,	PUNCT
bibechana-11687	151	21	5(5	5(5	NUM
bibechana-11687	151	22	)	)	PUNCT
bibechana-11687	151	23	(	(	PUNCT
bibechana-11687	151	24	2011	2011	NUM
bibechana-11687	151	25	)	)	PUNCT
bibechana-11687	151	26	565	565	NUM
bibechana-11687	151	27	-	-	SYM
bibechana-11687	151	28	571	571	NUM
bibechana-11687	151	29	.	.	PUNCT
bibechana-11687	152	1	[	[	X
bibechana-11687	152	2	28	28	NUM
bibechana-11687	152	3	]	]	PUNCT
bibechana-11687	152	4	z.	z.	PROPN
bibechana-11687	152	5	wen	wen	PROPN
bibechana-11687	152	6	,	,	PUNCT
bibechana-11687	152	7	j.	j.	PROPN
bibechana-11687	152	8	yi	yi	PROPN
bibechana-11687	152	9	,	,	PUNCT
bibechana-11687	152	10	and	and	CCONJ
bibechana-11687	152	11	h.	h.	PROPN
bibechana-11687	152	12	lio	lio	PROPN
bibechana-11687	152	13	,	,	PUNCT
bibechana-11687	152	14	convergence	convergence	NOUN
bibechana-11687	152	15	of	of	ADP
bibechana-11687	152	16	analysis	analysis	NOUN
bibechana-11687	152	17	of	of	ADP
bibechana-11687	152	18	variational	variational	ADJ
bibechana-11687	152	19	iteration	iteration	NOUN
bibechana-11687	152	20	method	method	NOUN
bibechana-11687	152	21	for	for	ADP
bibechana-11687	152	22	coputo	coputo	NOUN
bibechana-11687	152	23	fractional	fractional	ADJ
bibechana-11687	152	24	differential	differential	NOUN
bibechana-11687	152	25	equations	equation	NOUN
bibechana-11687	152	26	,	,	PUNCT
bibechana-11687	152	27	communications	communication	NOUN
bibechana-11687	152	28	in	in	ADP
bibechana-11687	152	29	computer	computer	NOUN
bibechana-11687	152	30	and	and	CCONJ
bibechana-11687	152	31	information	information	NOUN
bibechana-11687	152	32	science	science	NOUN
bibechana-11687	152	33	(	(	PUNCT
bibechana-11687	152	34	2012	2012	NUM
bibechana-11687	152	35	)	)	PUNCT
bibechana-11687	152	36	296	296	NUM
bibechana-11687	152	37	-	-	SYM
bibechana-11687	152	38	307	307	NUM
bibechana-11687	152	39	.	.	PUNCT
bibechana-11687	153	1	[	[	X
bibechana-11687	153	2	29	29	NUM
bibechana-11687	153	3	]	]	X
bibechana-11687	153	4	b.	b.	PROPN
bibechana-11687	153	5	ghazanfari	ghazanfari	PROPN
bibechana-11687	153	6	and	and	CCONJ
bibechana-11687	153	7	a.	a.	NOUN
bibechana-11687	153	8	sepahvandzadeh	sepahvandzadeh	NOUN
bibechana-11687	153	9	,	,	PUNCT
bibechana-11687	153	10	solving	solve	VERB
bibechana-11687	153	11	fractional	fractional	ADJ
bibechana-11687	153	12	bratu	bratu	ADJ
bibechana-11687	153	13	-	-	PUNCT
bibechana-11687	153	14	type	type	NOUN
bibechana-11687	153	15	equations	equation	NOUN
bibechana-11687	153	16	by	by	ADP
bibechana-11687	153	17	modified	modify	VERB
bibechana-11687	153	18	variational	variational	ADJ
bibechana-11687	153	19	iteration	iteration	NOUN
bibechana-11687	153	20	method	method	NOUN
bibechana-11687	153	21	,	,	PUNCT
bibechana-11687	153	22	selcuk	selcuk	NOUN
bibechana-11687	153	23	journal	journal	NOUN
bibechana-11687	153	24	of	of	ADP
bibechana-11687	153	25	applied	apply	VERB
bibechana-11687	153	26	mathematics	mathematic	NOUN
bibechana-11687	153	27	,	,	PUNCT
bibechana-11687	153	28	article	article	NOUN
bibechana-11687	153	29	in	in	ADP
bibechana-11687	153	30	press	press	NOUN
bibechana-11687	153	31	(	(	PUNCT
bibechana-11687	153	32	2014	2014	NUM
bibechana-11687	153	33	)	)	PUNCT
bibechana-11687	153	34	.	.	PUNCT