id	sid	eid	entity	type
ejpam-5339	1	1	european journal	ORG
ejpam-5339	2	1	17	CARDINAL
ejpam-5339	2	2	3	CARDINAL
ejpam-5339	2	3	2024	DATE
ejpam-5339	2	4	2155	CARDINAL
ejpam-5339	2	5	1307-5543	DATE
ejpam-5339	3	1	new york	GPE
ejpam-5339	3	2	gamal m. ismail1,∗	PERSON
ejpam-5339	3	3	m. moatimid2	PERSON
ejpam-5339	3	4	mohammed i. yamani1	PERSON
ejpam-5339	3	5	islamic university	ORG
ejpam-5339	3	6	madinah	PERSON
ejpam-5339	3	7	42351	DATE
ejpam-5339	3	8	saudi arabia	GPE
ejpam-5339	3	9	2	CARDINAL
ejpam-5339	3	10	ain shams university	ORG
ejpam-5339	3	11	roxy	GPE
ejpam-5339	3	12	cairo	GPE
ejpam-5339	3	13	egypt	GPE
ejpam-5339	12	1	2020	DATE
ejpam-5339	12	2	34a34	CARDINAL
ejpam-5339	12	3	34c15	DATE
ejpam-5339	12	4	34c25	CARDINAL
ejpam-5339	12	5	35l65	CARDINAL
ejpam-5339	12	6	37n30	CARDINAL
ejpam-5339	13	1	1	CARDINAL
ejpam-5339	13	2	linear	ORG
ejpam-5339	16	1	gismail@iu.edu.sa	PERSON
ejpam-5339	16	2	g. m. ismail	PERSON
ejpam-5339	16	3	g. m. moatimid	PERSON
ejpam-5339	17	1	m. i. yamani	PERSON
ejpam-5339	17	2	2155	CARDINAL
ejpam-5339	18	1	2024	CARDINAL
ejpam-5339	19	1	g. m. ismail	PERSON
ejpam-5339	19	2	g. m. moatimid	PERSON
ejpam-5339	19	3	m. i. yamani	PERSON
ejpam-5339	20	1	j. pure	PERSON
ejpam-5339	20	2	17	CARDINAL
ejpam-5339	20	3	3	CARDINAL
ejpam-5339	20	4	2024	CARDINAL
ejpam-5339	20	5	2155-2172 2156	QUANTITY
ejpam-5339	22	1	17	CARDINAL
ejpam-5339	23	1	13	CARDINAL
ejpam-5339	26	1	37	CARDINAL
ejpam-5339	27	1	the past two decades	DATE
ejpam-5339	28	1	18	CARDINAL
ejpam-5339	28	2	19	DATE
ejpam-5339	28	3	21	DATE
ejpam-5339	28	4	23	DATE
ejpam-5339	28	5	24	DATE
ejpam-5339	28	6	28	DATE
ejpam-5339	28	7	39	CARDINAL
ejpam-5339	29	1	9–11	CARDINAL
ejpam-5339	29	2	36	CARDINAL
ejpam-5339	32	1	lindstedt	PERSON
ejpam-5339	32	2	14	CARDINAL
ejpam-5339	34	1	6	CARDINAL
ejpam-5339	36	1	12	CARDINAL
ejpam-5339	39	1	first	ORDINAL
ejpam-5339	40	1	3	CARDINAL
ejpam-5339	43	1	20	CARDINAL
ejpam-5339	46	1	4	CARDINAL
ejpam-5339	48	1	40	CARDINAL
ejpam-5339	49	1	15	CARDINAL
ejpam-5339	51	1	g. m. ismail	PERSON
ejpam-5339	51	2	g. m. moatimid	PERSON
ejpam-5339	51	3	m. i. yamani	PERSON
ejpam-5339	52	1	j. pure	PERSON
ejpam-5339	52	2	17	CARDINAL
ejpam-5339	52	3	3	CARDINAL
ejpam-5339	52	4	2024	CARDINAL
ejpam-5339	52	5	2155-2172 2157	DATE
ejpam-5339	53	1	two	CARDINAL
ejpam-5339	53	2	16	CARDINAL
ejpam-5339	55	1	hamiltonian	NORP
ejpam-5339	57	1	5	CARDINAL
ejpam-5339	59	1	2	CARDINAL
ejpam-5339	63	1	1	CARDINAL
ejpam-5339	65	1	38	CARDINAL
ejpam-5339	66	1	22	CARDINAL
ejpam-5339	72	1	25–27	CARDINAL
ejpam-5339	84	1	g. m. ismail	PERSON
ejpam-5339	84	2	g. m. moatimid	PERSON
ejpam-5339	84	3	m. i. yamani	PERSON
ejpam-5339	85	1	j. pure	PERSON
ejpam-5339	85	2	17	CARDINAL
ejpam-5339	85	3	3	CARDINAL
ejpam-5339	85	4	2024	CARDINAL
ejpam-5339	85	5	2155-2172 2158	QUANTITY
ejpam-5339	85	6	two	CARDINAL
ejpam-5339	85	7	taylor	PERSON
ejpam-5339	90	1	five	CARDINAL
ejpam-5339	91	1	2	CARDINAL
ejpam-5339	91	2	3	CARDINAL
ejpam-5339	92	1	5	CARDINAL
ejpam-5339	93	1	2	CARDINAL
ejpam-5339	93	2	third	ORDINAL
ejpam-5339	93	3	η′′	PERSON
ejpam-5339	93	4	η	PRODUCT
ejpam-5339	93	5	η′′	PERSON
ejpam-5339	94	1	+g(η	GPE
ejpam-5339	94	2	η′′	PERSON
ejpam-5339	94	3	η′′	PERSON
ejpam-5339	94	4	1	CARDINAL
ejpam-5339	94	5	η	PRODUCT
ejpam-5339	94	6	η′′	PERSON
ejpam-5339	94	7	g(η	GPE
ejpam-5339	94	8	η′′	PERSON
ejpam-5339	94	9	third	ORDINAL
ejpam-5339	95	1	h(η	PERSON
ejpam-5339	95	2	η′′	PERSON
ejpam-5339	96	1	η	PRODUCT
ejpam-5339	96	2	η′′	PERSON
ejpam-5339	98	1	2η′′	CARDINAL
ejpam-5339	98	2	η′′	PERSON
ejpam-5339	99	1	2η′	CARDINAL
ejpam-5339	100	1	3 + e2η ′′η	QUANTITY
ejpam-5339	100	2	η′′	PERSON
ejpam-5339	102	1	′2 +	DATE
ejpam-5339	103	1	′′	NORP
ejpam-5339	103	2	2	CARDINAL
ejpam-5339	103	3	aj	PERSON
ejpam-5339	103	4	1	CARDINAL
ejpam-5339	103	5	2	DATE
ejpam-5339	103	6	3	CARDINAL
ejpam-5339	103	7	ω	ORG
ejpam-5339	104	1	37	CARDINAL
ejpam-5339	104	2	first	ORDINAL
ejpam-5339	104	3	two	CARDINAL
ejpam-5339	104	4	third	ORDINAL
ejpam-5339	106	1	three	CARDINAL
ejpam-5339	109	1	4	CARDINAL
ejpam-5339	109	2	3	CARDINAL
ejpam-5339	109	3	x(0	PERSON
ejpam-5339	110	1	g. m. ismail	PERSON
ejpam-5339	110	2	g. m. moatimid	PERSON
ejpam-5339	110	3	m. i. yamani	PERSON
ejpam-5339	111	1	j. pure	PERSON
ejpam-5339	111	2	17	CARDINAL
ejpam-5339	111	3	3	CARDINAL
ejpam-5339	111	4	2024	CARDINAL
ejpam-5339	111	5	2155-2172 2159	QUANTITY
ejpam-5339	111	6	ω	ORG
ejpam-5339	112	1	x′′	DATE
ejpam-5339	115	1	4	CARDINAL
ejpam-5339	115	2	1	CARDINAL
ejpam-5339	115	3	three	CARDINAL
ejpam-5339	115	4	2π	CARDINAL
ejpam-5339	116	1	0 x′f	PERSON
ejpam-5339	116	2	x′, x′′	DATE
ejpam-5339	116	3	2π	CARDINAL
ejpam-5339	118	1	5	CARDINAL
ejpam-5339	118	2	2π	CARDINAL
ejpam-5339	118	3	x′, x′′	DATE
ejpam-5339	120	1	eqv(ω	PERSON
ejpam-5339	121	1	6	CARDINAL
ejpam-5339	122	1	η′ → kaω	ORG
ejpam-5339	122	2	η′′	PERSON
ejpam-5339	122	3	kaω2	PERSON
ejpam-5339	122	4	η	GPE
ejpam-5339	122	5	η′′	PERSON
ejpam-5339	123	1	el-dib	ORG
ejpam-5339	123	2	1	CARDINAL
ejpam-5339	123	3	1/2 √ n−	DATE
ejpam-5339	124	1	2	CARDINAL
ejpam-5339	124	2	1	CARDINAL
ejpam-5339	124	3	1/2	CARDINAL
ejpam-5339	126	1	η	PERSON
ejpam-5339	126	2	2	CARDINAL
ejpam-5339	126	3	2	CARDINAL
ejpam-5339	126	4	η′′	PERSON
ejpam-5339	126	5	2	CARDINAL
ejpam-5339	128	1	4	CARDINAL
ejpam-5339	128	2	x(t	PERSON
ejpam-5339	130	1	7	CARDINAL
ejpam-5339	131	1	7	CARDINAL
ejpam-5339	132	1	4	CARDINAL
ejpam-5339	133	1	′′	ORG
ejpam-5339	133	2	1 4	CARDINAL
ejpam-5339	134	1	8)	CARDINAL
ejpam-5339	134	2	1	CARDINAL
ejpam-5339	134	3	2	CARDINAL
ejpam-5339	135	1	3	CARDINAL
ejpam-5339	137	1	g. m. ismail	PERSON
ejpam-5339	137	2	g. m. moatimid	PERSON
ejpam-5339	137	3	m. i. yamani	PERSON
ejpam-5339	138	1	j. pure	PERSON
ejpam-5339	138	2	17	CARDINAL
ejpam-5339	138	3	3	CARDINAL
ejpam-5339	138	4	2024	CARDINAL
ejpam-5339	138	5	2155-2172 2160 3.1	QUANTITY
ejpam-5339	139	1	1	CARDINAL
ejpam-5339	139	2	0	CARDINAL
ejpam-5339	140	1	37	CARDINAL
ejpam-5339	142	1	0	CARDINAL
ejpam-5339	143	1	nayfeh	ORG
ejpam-5339	144	1	37	CARDINAL
ejpam-5339	145	1	θ cos θ	ORG
ejpam-5339	146	1	0	CARDINAL
ejpam-5339	147	1	9	CARDINAL
ejpam-5339	149	1	9	CARDINAL
ejpam-5339	150	1	0	CARDINAL
ejpam-5339	150	2	10	CARDINAL
ejpam-5339	151	1	sin θ cos θ + g sin θ/r.	ORG
ejpam-5339	153	1	0	CARDINAL
ejpam-5339	154	1	11	CARDINAL
ejpam-5339	154	2	2π	CARDINAL
ejpam-5339	156	1	12	CARDINAL
ejpam-5339	157	1	12	CARDINAL
ejpam-5339	157	2	1	CARDINAL
ejpam-5339	157	3	2gj1(a)−rω2j1(2a	CARDINAL
ejpam-5339	157	4	13	CARDINAL
ejpam-5339	157	5	2a	CARDINAL
ejpam-5339	158	1	2gj1(a)−rω2j1(2a	CARDINAL
ejpam-5339	159	1	14	CARDINAL
ejpam-5339	159	2	0	CARDINAL
ejpam-5339	160	1	15	CARDINAL
ejpam-5339	161	1	0	CARDINAL
ejpam-5339	163	1	g. m. ismail	PERSON
ejpam-5339	163	2	g. m. moatimid	PERSON
ejpam-5339	163	3	m. i. yamani	PERSON
ejpam-5339	164	1	j. pure	PERSON
ejpam-5339	164	2	17	CARDINAL
ejpam-5339	164	3	3	CARDINAL
ejpam-5339	164	4	2024	CARDINAL
ejpam-5339	164	5	2155-2172 2161	QUANTITY
ejpam-5339	164	6	1	CARDINAL
ejpam-5339	167	1	9	CARDINAL
ejpam-5339	168	1	15	CARDINAL
ejpam-5339	168	2	0.5	CARDINAL
ejpam-5339	168	3	12	CARDINAL
ejpam-5339	168	4	14	CARDINAL
ejpam-5339	168	5	0.5	CARDINAL
ejpam-5339	169	1	2	CARDINAL
ejpam-5339	169	2	two	CARDINAL
ejpam-5339	169	3	0.00367	CARDINAL
ejpam-5339	170	1	taylor	PERSON
ejpam-5339	172	1	3.2	CARDINAL
ejpam-5339	172	2	2	CARDINAL
ejpam-5339	172	3	37	CARDINAL
ejpam-5339	172	4	0	CARDINAL
ejpam-5339	173	1	16	CARDINAL
ejpam-5339	174	1	16	CARDINAL
ejpam-5339	174	2	+ f1(θ̇	PERCENT
ejpam-5339	174	3	0	CARDINAL
ejpam-5339	174	4	17	CARDINAL
ejpam-5339	175	1	0	CARDINAL
ejpam-5339	176	1	18	CARDINAL
ejpam-5339	176	2	2π	CARDINAL
ejpam-5339	176	3	0	CARDINAL
ejpam-5339	178	1	19	CARDINAL
ejpam-5339	179	1	19	CARDINAL
ejpam-5339	179	2	2ω2	DATE
ejpam-5339	180	1	20	CARDINAL
ejpam-5339	180	2	2π	CARDINAL
ejpam-5339	180	3	2π	CARDINAL
ejpam-5339	180	4	21	CARDINAL
ejpam-5339	180	5	eqs	ORG
ejpam-5339	181	1	20	CARDINAL
ejpam-5339	181	2	21	CARDINAL
ejpam-5339	182	1	0	CARDINAL
ejpam-5339	182	2	22	CARDINAL
ejpam-5339	182	3	g. m. ismail	PERSON
ejpam-5339	182	4	g. m. moatimid	PERSON
ejpam-5339	182	5	m. i. yamani	PERSON
ejpam-5339	183	1	j. pure	PERSON
ejpam-5339	183	2	17	CARDINAL
ejpam-5339	183	3	3	CARDINAL
ejpam-5339	183	4	2024	CARDINAL
ejpam-5339	183	5	2155-2172 2162	QUANTITY
ejpam-5339	184	1	0	CARDINAL
ejpam-5339	185	1	23	CARDINAL
ejpam-5339	185	2	2ω2	DATE
ejpam-5339	186	1	0	CARDINAL
ejpam-5339	188	1	16	CARDINAL
ejpam-5339	189	1	22	CARDINAL
ejpam-5339	189	2	ω	CARDINAL
ejpam-5339	190	1	0.5	CARDINAL
ejpam-5339	191	1	3	CARDINAL
ejpam-5339	191	2	two	CARDINAL
ejpam-5339	191	3	0.0345	CARDINAL
ejpam-5339	194	1	4	CARDINAL
ejpam-5339	194	2	ω	ORG
ejpam-5339	196	1	3.3	CARDINAL
ejpam-5339	197	1	3	CARDINAL
ejpam-5339	197	2	a spring	DATE
ejpam-5339	197	3	5	CARDINAL
ejpam-5339	197	4	x(t	PERSON
ejpam-5339	200	1	0	CARDINAL
ejpam-5339	200	2	24	CARDINAL
ejpam-5339	201	1	x(0	PERSON
ejpam-5339	205	1	24	CARDINAL
ejpam-5339	205	2	ẍ+ f(x	PERSON
ejpam-5339	206	1	0	CARDINAL
ejpam-5339	206	2	25	CARDINAL
ejpam-5339	210	1	0	CARDINAL
ejpam-5339	211	1	26	CARDINAL
ejpam-5339	211	2	2π	CARDINAL
ejpam-5339	211	3	0	CARDINAL
ejpam-5339	213	1	27	CARDINAL
ejpam-5339	214	1	27	CARDINAL
ejpam-5339	214	2	1 + 3	DATE
ejpam-5339	216	1	28	CARDINAL
ejpam-5339	216	2	g. m. ismail	PERSON
ejpam-5339	216	3	g. m. moatimid	PERSON
ejpam-5339	216	4	m. i. yamani	PERSON
ejpam-5339	217	1	j. pure	PERSON
ejpam-5339	217	2	17	CARDINAL
ejpam-5339	217	3	3	CARDINAL
ejpam-5339	217	4	2024	CARDINAL
ejpam-5339	217	5	2155-2172 2163	DATE
ejpam-5339	218	1	1 + 3	DATE
ejpam-5339	218	2	0	CARDINAL
ejpam-5339	218	3	29	CARDINAL
ejpam-5339	218	4	0	CARDINAL
ejpam-5339	219	1	30	CARDINAL
ejpam-5339	220	1	24	CARDINAL
ejpam-5339	221	1	30	CARDINAL
ejpam-5339	221	2	1	CARDINAL
ejpam-5339	221	3	1	CARDINAL
ejpam-5339	221	4	1	CARDINAL
ejpam-5339	221	5	0.5	CARDINAL
ejpam-5339	222	1	6	CARDINAL
ejpam-5339	222	2	two	CARDINAL
ejpam-5339	222	3	0.00948421	CARDINAL
ejpam-5339	224	1	1	CARDINAL
ejpam-5339	225	1	0.5 0.5	CARDINAL
ejpam-5339	225	2	5	CARDINAL
ejpam-5339	226	1	15	CARDINAL
ejpam-5339	226	2	0.00009056 20 -0.105488	QUANTITY
ejpam-5339	228	1	0.00550568 40	MONEY
ejpam-5339	228	2	0.00928869	MONEY
ejpam-5339	228	3	1	CARDINAL
ejpam-5339	229	1	two	CARDINAL
ejpam-5339	230	1	3.4	CARDINAL
ejpam-5339	230	2	4	CARDINAL
ejpam-5339	231	1	37	CARDINAL
ejpam-5339	232	1	0	CARDINAL
ejpam-5339	233	1	31	CARDINAL
ejpam-5339	234	1	g. m. ismail	PERSON
ejpam-5339	234	2	g. m. moatimid	PERSON
ejpam-5339	234	3	m. i. yamani	PERSON
ejpam-5339	235	1	j. pure	PERSON
ejpam-5339	235	2	17	CARDINAL
ejpam-5339	235	3	3	CARDINAL
ejpam-5339	235	4	2024	CARDINAL
ejpam-5339	235	5	2155-2172 2164	QUANTITY
ejpam-5339	236	1	31	CARDINAL
ejpam-5339	237	1	0	CARDINAL
ejpam-5339	237	2	32	CARDINAL
ejpam-5339	237	3	f1(u̇	ORG
ejpam-5339	238	1	0	CARDINAL
ejpam-5339	239	1	33	CARDINAL
ejpam-5339	239	2	2π	CARDINAL
ejpam-5339	240	1	1	CARDINAL
ejpam-5339	241	1	34	CARDINAL
ejpam-5339	241	2	2π	CARDINAL
ejpam-5339	242	1	35	CARDINAL
ejpam-5339	243	1	35	CARDINAL
ejpam-5339	243	2	2µ	CARDINAL
ejpam-5339	244	1	36	CARDINAL
ejpam-5339	245	1	0	CARDINAL
ejpam-5339	246	1	37	CARDINAL
ejpam-5339	246	2	1−	TIME
ejpam-5339	246	3	2	CARDINAL
ejpam-5339	247	1	38	CARDINAL
ejpam-5339	247	2	0 or	CARDINAL
ejpam-5339	248	1	1	CARDINAL
ejpam-5339	248	2	30	CARDINAL
ejpam-5339	248	3	ω	CARDINAL
ejpam-5339	248	4	0.05	CARDINAL
ejpam-5339	248	5	0.5	CARDINAL
ejpam-5339	249	1	0.999706	CARDINAL
ejpam-5339	252	1	31	CARDINAL
ejpam-5339	253	1	37	CARDINAL
ejpam-5339	254	1	two	CARDINAL
ejpam-5339	254	2	0.00347	MONEY
ejpam-5339	255	1	taylor	PERSON
ejpam-5339	257	1	g. m. ismail	PERSON
ejpam-5339	257	2	g. m. moatimid	PERSON
ejpam-5339	257	3	m. i. yamani	PERSON
ejpam-5339	258	1	j. pure	PERSON
ejpam-5339	258	2	17	CARDINAL
ejpam-5339	258	3	3	CARDINAL
ejpam-5339	258	4	2024	CARDINAL
ejpam-5339	258	5	2155-2172	DATE
ejpam-5339	258	6	fourth	ORDINAL
ejpam-5339	258	7	runge-kutta	PERSON
ejpam-5339	259	1	2	CARDINAL
ejpam-5339	259	2	3	DATE
ejpam-5339	259	3	6	DATE
ejpam-5339	259	4	7	CARDINAL
ejpam-5339	263	1	1	CARDINAL
ejpam-5339	263	2	ω	CARDINAL
ejpam-5339	263	3	12	CARDINAL
ejpam-5339	264	1	2	CARDINAL
ejpam-5339	264	2	eqs	CARDINAL
ejpam-5339	265	1	9	CARDINAL
ejpam-5339	265	2	15	CARDINAL
ejpam-5339	266	1	g. m. ismail	PERSON
ejpam-5339	266	2	g. m. moatimid	PERSON
ejpam-5339	266	3	m. i. yamani	PERSON
ejpam-5339	267	1	j. pure	PERSON
ejpam-5339	267	2	17	CARDINAL
ejpam-5339	267	3	3	CARDINAL
ejpam-5339	267	4	2024	CARDINAL
ejpam-5339	267	5	2155-2172 2166	QUANTITY
ejpam-5339	267	6	3	CARDINAL
ejpam-5339	267	7	two	CARDINAL
ejpam-5339	267	8	eqs	ORG
ejpam-5339	268	1	16	CARDINAL
ejpam-5339	268	2	22	CARDINAL
ejpam-5339	269	1	4	CARDINAL
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ejpam-5339	301	1	1	CARDINAL
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ejpam-5339	310	1	4	CARDINAL
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ejpam-5339	389	2	two	CARDINAL
ejpam-5339	390	1	chinese journal of physics	ORG
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ejpam-5339	393	1	the european physical journal plus	ORG
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ejpam-5339	393	3	2024	DATE
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ejpam-5339	394	2	g. m. moatimid	PERSON
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ejpam-5339	405	1	chinese	NORP
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ejpam-5339	407	1	two	CARDINAL
ejpam-5339	408	1	chinese journal of physics	ORG
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ejpam-5339	409	1	36	CARDINAL
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ejpam-5339	419	1	39	CARDINAL
ejpam-5339	419	2	s. telli	PERSON
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ejpam-5339	421	1	289:689–710	CARDINAL
ejpam-5339	421	2	2006	DATE
ejpam-5339	422	1	40	CARDINAL
ejpam-5339	424	1	song	PERSON
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