id	sid	eid	entity	type
ma-24	1	1	2021	CARDINAL
ma-24	2	1	j. math	PERSON
ma-24	4	1	1 (	CARDINAL
ma-24	4	2	2021	CARDINAL
ma-24	4	3	133-150doi	TIME
ma-24	4	4	10.28924	CARDINAL
ma-24	4	5	korteweg-de vries	ORG
ma-24	4	6	joseph owuor owino∗	PERSON
ma-24	4	7	benard okelo department	ORG
ma-24	4	8	jaramogi	ORG
ma-24	4	9	odinga university of science and technology	ORG
ma-24	4	10	210-40601	DATE
ma-24	4	11	kenya bnyaare@yahoo.com	GPE
ma-24	7	1	korteweg-de vries	ORG
ma-24	10	1	two	CARDINAL
ma-24	11	1	1	CARDINAL
ma-24	14	1	+ βqxxx	GPE
ma-24	14	2	0	CARDINAL
ma-24	14	3	1	CARDINAL
ma-24	14	4	+ iv(t	DATE
ma-24	14	5	2	CARDINAL
ma-24	14	6	−1	DATE
ma-24	15	1	2	CARDINAL
ma-24	15	2	1	CARDINAL
ma-24	15	3	weobtain ∆1 ≡ ut	ORG
ma-24	18	1	0	CARDINAL
ma-24	18	2	0	CARDINAL
ma-24	18	3	3	CARDINAL
ma-24	18	4	3	CARDINAL
ma-24	21	1	solutions;symmetry	ORG
ma-24	21	2	conservation laws.133 https://adac.ee https://doi.org/10.28924/ada/ma.1.133 eur	ORG
ma-24	22	1	j. math	PERSON
ma-24	24	1	1 (	CARDINAL
ma-24	24	2	2021	CARDINAL
ma-24	25	1	134which	DATE
ma-24	26	1	3),that	DATE
ma-24	26	2	3).this	CARDINAL
ma-24	26	3	3	CARDINAL
ma-24	27	1	2	CARDINAL
ma-24	31	1	4	CARDINAL
ma-24	31	2	⊂	GPE
ma-24	32	1	⊂	GPE
ma-24	33	1	2.1	CARDINAL
ma-24	34	1	4	CARDINAL
ma-24	35	1	∈ n ′ ⊂ n	ORG
ma-24	35	2	∈	ORG
ma-24	37	1	0	CARDINAL
ma-24	38	1	∈	PRODUCT
ma-24	38	2	ε ∈ n ′ ⊂	ORG
ma-24	40	1	ε−1 ∈ n	ORG
ma-24	41	1	2.2	CARDINAL
ma-24	42	1	4	CARDINAL
ma-24	42	2	1	CARDINAL
ma-24	43	1	u(1	ORG
ma-24	44	1	u(π	ORG
ma-24	45	1	0	CARDINAL
ma-24	46	1	u(2	ORG
ma-24	47	1	u(π	ORG
ma-24	48	1	first	ORDINAL
ma-24	48	2	second	ORDINAL
ma-24	51	1	∂uα	GPE
ma-24	52	1	6	CARDINAL
ma-24	54	1	7	CARDINAL
ma-24	54	2	7	CARDINAL
ma-24	55	1	7].consider	CARDINAL
ma-24	57	1	0	CARDINAL
ma-24	58	1	j. math	PERSON
ma-24	60	1	1 (	CARDINAL
ma-24	60	2	2021	CARDINAL
ma-24	60	3	135	CARDINAL
ma-24	60	4	2.3	CARDINAL
ma-24	64	1	≈	CARDINAL
ma-24	64	2	9	CARDINAL
ma-24	64	3	4	CARDINAL
ma-24	64	4	taylor	PERSON
ma-24	65	1	ξi(x	GPE
ma-24	68	1	10	CARDINAL
ma-24	68	2	2.4	CARDINAL
ma-24	69	1	9	CARDINAL
ma-24	71	1	≈	CARDINAL
ma-24	71	2	1 +x)x	DATE
ma-24	72	1	≈	CARDINAL
ma-24	72	2	1 +x)uα	CARDINAL
ma-24	72	3	11	CARDINAL
ma-24	74	1	∂uα	GPE
ma-24	74	2	12	CARDINAL
ma-24	74	3	2.5	CARDINAL
ma-24	75	1	4	CARDINAL
ma-24	75	2	di = di(ϕ j)d̄j	PERSON
ma-24	75	3	13	CARDINAL
ma-24	80	1	14	CARDINAL
ma-24	80	2	13	CARDINAL
ma-24	81	1	15	CARDINAL
ma-24	81	2	15	CARDINAL
ma-24	82	1	∂ϕj ∂uβ	PERSON
ma-24	86	1	∂uβ	PERSON
ma-24	87	1	16	CARDINAL
ma-24	87	2	u(1	ORG
ma-24	87	3	u(1	ORG
ma-24	88	1	17	CARDINAL
ma-24	88	2	2.6	CARDINAL
ma-24	89	1	u(1	ORG
ma-24	89	2	17)form	ORDINAL
ma-24	89	3	first	ORDINAL
ma-24	90	1	2.7	CARDINAL
ma-24	90	2	first	ORDINAL
ma-24	91	1	u(1	ORG
ma-24	92	1	18	CARDINAL
ma-24	92	2	2.8	CARDINAL
ma-24	93	1	first	ORDINAL
ma-24	93	2	18	CARDINAL
ma-24	95	1	j. math	PERSON
ma-24	97	1	1 (	CARDINAL
ma-24	97	2	2021	CARDINAL
ma-24	97	3	136	CARDINAL
ma-24	97	4	2.9	CARDINAL
ma-24	98	1	15	CARDINAL
ma-24	98	2	first	ORDINAL
ma-24	98	3	2.6	CARDINAL
ma-24	98	4	5	CARDINAL
ma-24	98	5	j + ξjε)(uαj +	FAC
ma-24	99	1	+diη αε,(19	ORG
ma-24	99	2	α)− uαj di(ξj	PERSON
ma-24	99	3	20	CARDINAL
ma-24	99	4	first	ORDINAL
ma-24	100	1	2.10	CARDINAL
ma-24	101	1	8	CARDINAL
ma-24	106	1	21	CARDINAL
ma-24	106	2	2.11	CARDINAL
ma-24	112	1	∂ζαi1,	PERSON
ma-24	112	2	1	CARDINAL
ma-24	112	3	22	CARDINAL
ma-24	112	4	12	CARDINAL
ma-24	113	1	2.12	CARDINAL
ma-24	114	1	4	CARDINAL
ma-24	114	2	ūα	PERSON
ma-24	116	1	23	CARDINAL
ma-24	116	2	2.13	CARDINAL
ma-24	117	1	4	CARDINAL
ma-24	118	1	first	ORDINAL
ma-24	118	2	linear pde	ORG
ma-24	119	1	5	CARDINAL
ma-24	121	1	0	CARDINAL
ma-24	122	1	24	CARDINAL
ma-24	122	2	2.13	CARDINAL
ma-24	123	1	2.14	CARDINAL
ma-24	124	1	4	CARDINAL
ma-24	124	2	1	CARDINAL
ma-24	125	1	first	ORDINAL
ma-24	127	1	ψn−1(x	ORG
ma-24	127	2	25	CARDINAL
ma-24	127	3	24	CARDINAL
ma-24	127	4	dx	ORG
ma-24	129	1	26	CARDINAL
ma-24	130	1	j. math	PERSON
ma-24	132	1	1 (	CARDINAL
ma-24	132	2	2021	CARDINAL
ma-24	132	3	137	CARDINAL
ma-24	132	4	2.15	CARDINAL
ma-24	133	1	12	CARDINAL
ma-24	133	2	5	CARDINAL
ma-24	133	3	1	CARDINAL
ma-24	134	1	1	CARDINAL
ma-24	134	2	27	CARDINAL
ma-24	134	3	0	CARDINAL
ma-24	134	4	x[π	ORG
ma-24	135	1	2.16	CARDINAL
ma-24	136	1	5	CARDINAL
ma-24	136	2	5	CARDINAL
ma-24	137	1	ūα	PERSON
ma-24	139	1	0	CARDINAL
ma-24	140	1	28	CARDINAL
ma-24	140	2	2.17	CARDINAL
ma-24	141	1	4	CARDINAL
ma-24	141	2	ūα	PERSON
ma-24	142	1	29	CARDINAL
ma-24	142	2	2.18	CARDINAL
ma-24	143	1	5	CARDINAL
ma-24	143	2	12	CARDINAL
ma-24	143	3	two	CARDINAL
ma-24	144	1	xixj −xjxi	PERSON
ma-24	144	2	30	CARDINAL
ma-24	144	3	1	CARDINAL
ma-24	146	1	2.19	CARDINAL
ma-24	148	1	5	CARDINAL
ma-24	149	1	2.20	CARDINAL
ma-24	150	1	27	CARDINAL
ma-24	150	2	5	CARDINAL
ma-24	151	1	20	CARDINAL
ma-24	151	2	jacobi elliptic function	ORG
ma-24	152	1	21]and	CARDINAL
ma-24	152	2	22	CARDINAL
ma-24	153	1	5	CARDINAL
ma-24	154	1	2.21	CARDINAL
ma-24	155	1	euler	PERSON
ma-24	157	1	31	CARDINAL
ma-24	158	1	5	CARDINAL
ma-24	160	1	32	CARDINAL
ma-24	160	2	2.22	CARDINAL
ma-24	161	1	32	CARDINAL
ma-24	162	1	∂uαi1i2	ORG
ma-24	162	2	33	CARDINAL
ma-24	163	1	j. math	PERSON
ma-24	165	1	1 (	CARDINAL
ma-24	165	2	2021	CARDINAL
ma-24	166	1	138where	CARDINAL
ma-24	167	1	ζαi1	PERSON
ma-24	168	1	j = 1	PERSON
ma-24	169	1	n.	PERSON
ma-24	169	2	34	CARDINAL
ma-24	169	3	− ξjuαj	PERSON
ma-24	170	1	35	CARDINAL
ma-24	170	2	2.23	CARDINAL
ma-24	171	1	33	CARDINAL
ma-24	171	2	∂uα	GPE
ma-24	171	3	∂uαi1i2	ORG
ma-24	172	1	36	CARDINAL
ma-24	172	2	2.24	CARDINAL
ma-24	173	1	noether	PERSON
ma-24	173	2	2.25	CARDINAL
ma-24	175	1	u(1	ORG
ma-24	176	1	16	CARDINAL
ma-24	177	1	37	CARDINAL
ma-24	178	1	2.26	CARDINAL
ma-24	179	1	one	CARDINAL
ma-24	179	2	38	CARDINAL
ma-24	180	1	3	CARDINAL
ma-24	180	2	0	CARDINAL
ma-24	181	1	38	CARDINAL
ma-24	181	2	9	CARDINAL
ma-24	181	3	5	CARDINAL
ma-24	182	1	2.27	CARDINAL
ma-24	183	1	adjoint	ORG
ma-24	183	2	5	CARDINAL
ma-24	185	1	u(π	ORG
ma-24	186	1	0	CARDINAL
ma-24	186	2	39	CARDINAL
ma-24	187	1	2.28	CARDINAL
ma-24	188	1	lagrangian l	ORG
ma-24	188	2	5	CARDINAL
ma-24	188	3	39	CARDINAL
ma-24	188	4	9	CARDINAL
ma-24	190	1	u(1	ORG
ma-24	191	1	u(π	ORG
ma-24	192	1	40	CARDINAL
ma-24	192	2	2.29	CARDINAL
ma-24	193	1	infinitesimal	NORP
ma-24	193	2	5	CARDINAL
ma-24	193	3	9	CARDINAL
ma-24	193	4	0	CARDINAL
ma-24	193	5	41	CARDINAL
ma-24	198	1	−dk	GPE
ma-24	201	1	∂uαijk −	PERSON
ma-24	202	1	42	CARDINAL
ma-24	203	1	j. math	PERSON
ma-24	205	1	1 (	CARDINAL
ma-24	205	2	2021	CARDINAL
ma-24	205	3	1393	DATE
ma-24	207	1	6	CARDINAL
ma-24	214	1	44	CARDINAL
ma-24	214	2	3	CARDINAL
ma-24	214	3	0	CARDINAL
ma-24	214	4	0	CARDINAL
ma-24	215	1	45	CARDINAL
ma-24	215	2	45	CARDINAL
ma-24	215	3	0	CARDINAL
ma-24	215	4	0	CARDINAL
ma-24	215	5	0	CARDINAL
ma-24	215	6	0	CARDINAL
ma-24	215	7	ξxv	CARDINAL
ma-24	215	8	0	CARDINAL
ma-24	215	9	0	CARDINAL
ma-24	215	10	0	CARDINAL
ma-24	215	11	3ξxx	CARDINAL
ma-24	215	12	0	CARDINAL
ma-24	215	13	3ηv +	DATE
ma-24	216	1	0	CARDINAL
ma-24	216	2	3αηu	CARDINAL
ma-24	216	3	3ξxt	CARDINAL
ma-24	216	4	0	CARDINAL
ma-24	217	1	46	CARDINAL
ma-24	217	2	46	CARDINAL
ma-24	217	3	+ 3a2	DATE
ma-24	218	1	t + a4	DATE
ma-24	218	2	η u = −2a2u	ORG
ma-24	218	3	−2a2v	PRODUCT
ma-24	218	4	47	CARDINAL
ma-24	219	1	47	CARDINAL
ma-24	219	2	3	CARDINAL
ma-24	221	1	x4	PERSON
ma-24	221	2	3	CARDINAL
ma-24	222	1	2u ∂ ∂u	MONEY
ma-24	222	2	2v	CARDINAL
ma-24	224	1	48	CARDINAL
ma-24	224	2	1	CARDINAL
ma-24	228	1	3x1	CARDINAL
ma-24	230	1	2x3	CARDINAL
ma-24	230	2	1	CARDINAL
ma-24	232	1	j. math	PERSON
ma-24	234	1	1 (	CARDINAL
ma-24	234	2	2021	CARDINAL
ma-24	235	1	1	CARDINAL
ma-24	235	2	2	DATE
ma-24	235	3	3	DATE
ma-24	235	4	4	DATE
ma-24	237	1	49	DATE
ma-24	239	1	50	CARDINAL
ma-24	239	2	51	CARDINAL
ma-24	240	1	xeε4	DATE
ma-24	242	1	52	CARDINAL
ma-24	244	1	53	CARDINAL
ma-24	244	2	1	CARDINAL
ma-24	245	1	0	CARDINAL
ma-24	245	2	54	CARDINAL
ma-24	245	3	j2 = u	PERSON
ma-24	245	4	j3 = v .	PERSON
ma-24	246	1	55	CARDINAL
ma-24	246	2	56	CARDINAL
ma-24	247	1	56	CARDINAL
ma-24	247	2	3	CARDINAL
ma-24	247	3	third	ORDINAL
ma-24	248	1	0	CARDINAL
ma-24	249	1	57	CARDINAL
ma-24	249	2	57	CARDINAL
ma-24	249	3	2	CARDINAL
ma-24	249	4	58	CARDINAL
ma-24	251	1	59	CARDINAL
ma-24	252	1	0	CARDINAL
ma-24	252	2	60	CARDINAL
ma-24	252	3	58)-(59	CARDINAL
ma-24	252	4	2	CARDINAL
ma-24	253	1	0	CARDINAL
ma-24	253	2	61	CARDINAL
ma-24	255	1	0	CARDINAL
ma-24	255	2	62	CARDINAL
ma-24	256	1	j. math	PERSON
ma-24	258	1	1 (	CARDINAL
ma-24	258	2	2021	CARDINAL
ma-24	258	3	61)-(62	CARDINAL
ma-24	259	1	61)-(62)are	CARDINAL
ma-24	260	1	x∗2	DATE
ma-24	260	2	2ψ	CARDINAL
ma-24	261	1	63	CARDINAL
ma-24	261	2	0	CARDINAL
ma-24	262	1	64	CARDINAL
ma-24	262	2	second	ORDINAL
ma-24	262	3	x∗2	DATE
ma-24	262	4	−2ψ	GPE
ma-24	262	5	65	CARDINAL
ma-24	262	6	j2 = x2ψ	ORG
ma-24	263	1	66	CARDINAL
ma-24	264	1	67	CARDINAL
ma-24	264	2	61)-(62	CARDINAL
ma-24	264	3	one	CARDINAL
ma-24	265	1	0	CARDINAL
ma-24	265	2	68	CARDINAL
ma-24	265	3	0	CARDINAL
ma-24	265	4	69	CARDINAL
ma-24	265	5	12β α	DATE
ma-24	266	1	70	CARDINAL
ma-24	266	2	0	CARDINAL
ma-24	266	3	0	CARDINAL
ma-24	266	4	71	CARDINAL
ma-24	266	5	64	CARDINAL
ma-24	267	1	12β α	DATE
ma-24	267	2	0	CARDINAL
ma-24	267	3	72	DATE
ma-24	267	4	12β	DATE
ma-24	267	5	0	CARDINAL
ma-24	267	6	73	CARDINAL
ma-24	267	7	61)-(62	CARDINAL
ma-24	268	1	12β	CARDINAL
ma-24	268	2	0	CARDINAL
ma-24	268	3	74	CARDINAL
ma-24	269	1	j. math	PERSON
ma-24	271	1	1 (	CARDINAL
ma-24	271	2	2021	CARDINAL
ma-24	271	3	3	CARDINAL
ma-24	272	1	two	CARDINAL
ma-24	273	1	6β	CARDINAL
ma-24	273	2	75	CARDINAL
ma-24	273	3	±	CARDINAL
ma-24	273	4	6βi	ORDINAL
ma-24	273	5	76	CARDINAL
ma-24	273	6	−1	DATE
ma-24	274	1	6β	CARDINAL
ma-24	275	1	6iβ	ORDINAL
ma-24	275	2	77	CARDINAL
ma-24	276	1	6β	CARDINAL
ma-24	277	1	6iβ	ORDINAL
ma-24	278	1	three	CARDINAL
ma-24	282	1	79	CARDINAL
ma-24	282	2	0	CARDINAL
ma-24	283	1	1	CARDINAL
ma-24	284	1	0	CARDINAL
ma-24	284	2	80	CARDINAL
ma-24	284	3	j2 = u j3 = v .	PERSON
ma-24	285	1	81	CARDINAL
ma-24	285	2	u = φ(t	ORG
ma-24	285	3	82	CARDINAL
ma-24	285	4	φ	ORG
ma-24	285	5	82	CARDINAL
ma-24	285	6	3	CARDINAL
ma-24	285	7	0	CARDINAL
ma-24	285	8	83	CARDINAL
ma-24	285	9	φ(t	ORG
ma-24	285	10	84	CARDINAL
ma-24	286	1	3	CARDINAL
ma-24	287	1	85	CARDINAL
ma-24	288	1	86	CARDINAL
ma-24	289	1	j. math	PERSON
ma-24	291	1	1 (	CARDINAL
ma-24	291	2	2021	CARDINAL
ma-24	292	1	143solving	CARDINAL
ma-24	293	1	1	CARDINAL
ma-24	293	2	0	CARDINAL
ma-24	293	3	87	CARDINAL
ma-24	293	4	j2 = v ,	PERSON
ma-24	293	5	j3 = −u	PERSON
ma-24	294	1	0	CARDINAL
ma-24	295	1	88	CARDINAL
ma-24	295	2	3	CARDINAL
ma-24	295	3	− g(t	PERSON
ma-24	295	4	t 6=	DATE
ma-24	295	5	89	CARDINAL
ma-24	295	6	89	CARDINAL
ma-24	295	7	3),we	CARDINAL
ma-24	295	8	first	ORDINAL
ma-24	296	1	+ g(t	PERSON
ma-24	297	1	0	CARDINAL
ma-24	298	1	0	CARDINAL
ma-24	298	2	90	CARDINAL
ma-24	298	3	g(t	NORP
ma-24	298	4	t f	ORG
ma-24	299	1	91	CARDINAL
ma-24	301	1	t (92	CARDINAL
ma-24	301	2	t 6=	DATE
ma-24	301	3	0	CARDINAL
ma-24	302	1	3	CARDINAL
ma-24	303	1	2u ∂ ∂u	MONEY
ma-24	303	2	2v	MONEY
ma-24	304	1	93	CARDINAL
ma-24	305	1	3	CARDINAL
ma-24	306	1	2u	CARDINAL
ma-24	306	2	2v	CARDINAL
ma-24	306	3	94	CARDINAL
ma-24	306	4	j2 = ux2, j3 = vx2.	ORG
ma-24	307	1	95	CARDINAL
ma-24	307	2	96	CARDINAL
ma-24	307	3	third	ORDINAL
ma-24	307	4	2)−	CARDINAL
ma-24	313	1	0	CARDINAL
ma-24	313	2	97	CARDINAL
ma-24	313	3	− λ2g′ + 3αλ(f	ORG
ma-24	314	1	0	CARDINAL
ma-24	315	1	98	CARDINAL
ma-24	317	1	99	CARDINAL
ma-24	318	1	j. math	PERSON
ma-24	320	1	1 (	CARDINAL
ma-24	320	2	2021	CARDINAL
ma-24	321	1	100	CARDINAL
ma-24	322	1	− ct	PERSON
ma-24	322	2	j2 = u	PERSON
ma-24	322	3	j3 = v .	PERSON
ma-24	323	1	101	CARDINAL
ma-24	323	2	102	CARDINAL
ma-24	323	3	102	CARDINAL
ma-24	323	4	3	CARDINAL
ma-24	323	5	third	ORDINAL
ma-24	325	1	0	CARDINAL
ma-24	326	1	2	CARDINAL
ma-24	328	1	′′	ORG
ma-24	329	1	0	CARDINAL
ma-24	329	2	104	CARDINAL
ma-24	330	1	3.1	CARDINAL
ma-24	331	1	0	CARDINAL
ma-24	331	2	3	CARDINAL
ma-24	332	1	3.2	CARDINAL
ma-24	333	1	3	CARDINAL
ma-24	333	2	104	CARDINAL
ma-24	334	1	3	CARDINAL
ma-24	334	2	two	CARDINAL
ma-24	335	1	3	CARDINAL
ma-24	335	2	0	CARDINAL
ma-24	335	3	105	CARDINAL
ma-24	335	4	∂ux	ORG
ma-24	335	5	∂uxxx	PERSON
ma-24	336	1	106	CARDINAL
ma-24	336	2	∂ ∂v −dt	WORK_OF_ART
ma-24	336	3	107	CARDINAL
ma-24	336	4	euler	PERSON
ma-24	338	1	+ vt	GPE
ma-24	339	1	∂ux	ORG
ma-24	339	2	∂vx + utt	ORG
ma-24	339	3	+ vtt	GPE
ma-24	339	4	108	CARDINAL
ma-24	341	1	∂ux + vxx	ORG
ma-24	341	2	∂vx + utx	ORG
ma-24	341	3	∂vt	PERSON
ma-24	341	4	109	CARDINAL
ma-24	342	1	j. math	PERSON
ma-24	344	1	1 (	CARDINAL
ma-24	344	2	2021	CARDINAL
ma-24	344	3	145are	CARDINAL
ma-24	345	1	second	ORDINAL
ma-24	345	2	uxx	PERSON
ma-24	345	3	vxx	PERSON
ma-24	345	4	1	CARDINAL
ma-24	345	5	2	CARDINAL
ma-24	346	1	110	CARDINAL
ma-24	346	2	105	CARDINAL
ma-24	346	3	λ1{ut	LOC
ma-24	346	4	αvvx + βuxxx}+ λ2{vt	ORG
ma-24	347	1	0	CARDINAL
ma-24	347	2	111	CARDINAL
ma-24	347	3	λ1{ut	LOC
ma-24	347	4	αvvx + βuxxx}+ λ2{vt	ORG
ma-24	348	1	0	CARDINAL
ma-24	349	1	112	CARDINAL
ma-24	349	2	of22	PRODUCT
ma-24	352	1	0	CARDINAL
ma-24	354	1	0	CARDINAL
ma-24	354	2	βλ2	CARDINAL
ma-24	355	1	0	CARDINAL
ma-24	355	2	0	CARDINAL
ma-24	355	3	0	CARDINAL
ma-24	355	4	0	CARDINAL
ma-24	358	1	0	CARDINAL
ma-24	358	2	xu −	PERSON
ma-24	360	1	0	CARDINAL
ma-24	360	2	0	CARDINAL
ma-24	361	1	0	CARDINAL
ma-24	363	1	0.(113)calculations	CARDINAL
ma-24	363	2	113	CARDINAL
ma-24	363	3	2β	CARDINAL
ma-24	363	4	2c4uv	CARDINAL
ma-24	364	1	2β	CARDINAL
ma-24	364	2	2c3uv+	CARDINAL
ma-24	366	1	1	CARDINAL
ma-24	368	1	c8	GPE
ma-24	369	1	3.3	CARDINAL
ma-24	370	1	3	CARDINAL
ma-24	370	2	eight	CARDINAL
ma-24	371	1	105	CARDINAL
ma-24	371	2	115	CARDINAL
ma-24	375	1	1 α	TIME
ma-24	377	1	116	CARDINAL
ma-24	378	1	117	CARDINAL
ma-24	379	1	−tv	ORG
ma-24	379	2	118	CARDINAL
ma-24	380	1	j. math	PERSON
ma-24	382	1	1 (	CARDINAL
ma-24	382	2	2021	CARDINAL
ma-24	383	1	2	CARDINAL
ma-24	385	1	+ 1 2	QUANTITY
ma-24	386	1	+ 1	DATE
ma-24	386	2	− xuxx	PERSON
ma-24	387	1	3	CARDINAL
ma-24	388	1	2	CARDINAL
ma-24	389	1	119	CARDINAL
ma-24	389	2	2β	CARDINAL
ma-24	389	3	120	CARDINAL
ma-24	390	1	2β	CARDINAL
ma-24	390	2	3	CARDINAL
ma-24	390	3	− uv2	PERSON
ma-24	391	1	2	CARDINAL
ma-24	392	1	121	CARDINAL
ma-24	392	2	2	CARDINAL
ma-24	392	3	− v2 xx	PERSON
ma-24	393	1	1 2	CARDINAL
ma-24	393	2	3u2v2	CARDINAL
ma-24	394	1	122	CARDINAL
ma-24	394	2	2β	CARDINAL
ma-24	394	3	123	CARDINAL
ma-24	394	4	t4	GPE
ma-24	395	1	2β	CARDINAL
ma-24	395	2	124	CARDINAL
ma-24	396	1	2β	CARDINAL
ma-24	397	1	2	CARDINAL
ma-24	397	2	αuv	CARDINAL
ma-24	398	1	125	CARDINAL
ma-24	398	2	126	CARDINAL
ma-24	398	3	1 2	CARDINAL
ma-24	399	1	2	CARDINAL
ma-24	399	2	3	CARDINAL
ma-24	399	3	− uv2	PERSON
ma-24	400	1	127	CARDINAL
ma-24	400	2	128	CARDINAL
ma-24	400	3	t6	ORG
ma-24	403	1	129	CARDINAL
ma-24	403	2	1	CARDINAL
ma-24	403	3	0	DATE
ma-24	403	4	130	CARDINAL
ma-24	403	5	2	CARDINAL
ma-24	403	6	βuxx	GPE
ma-24	404	1	131	CARDINAL
ma-24	405	1	j. math	PERSON
ma-24	407	1	1 (	CARDINAL
ma-24	407	2	2021	CARDINAL
ma-24	407	3	147(viii	CARDINAL
ma-24	407	4	0	CARDINAL
ma-24	407	5	1	CARDINAL
ma-24	407	6	132	CARDINAL
ma-24	408	1	133	CARDINAL
ma-24	408	2	3.4	CARDINAL
ma-24	410	1	0	CARDINAL
ma-24	410	2	134	CARDINAL
ma-24	411	1	1	CARDINAL
ma-24	413	1	8	CARDINAL
ma-24	413	2	3.5	CARDINAL
ma-24	414	1	134	CARDINAL
ma-24	414	2	eight	CARDINAL
ma-24	414	3	3	CARDINAL
ma-24	415	1	3.6	CARDINAL
ma-24	416	1	1	CARDINAL
ma-24	416	2	0	DATE
ma-24	416	3	0	CARDINAL
ma-24	416	4	1	CARDINAL
ma-24	416	5	135	CARDINAL
ma-24	417	1	3	CARDINAL
ma-24	418	1	adjoint	ORG
ma-24	418	2	3	CARDINAL
ma-24	420	1	0	CARDINAL
ma-24	420	2	∆∗2gt −	PRODUCT
ma-24	420	3	0	CARDINAL
ma-24	421	1	136	CARDINAL
ma-24	421	2	3	CARDINAL
ma-24	421	3	136	CARDINAL
ma-24	421	4	+ βuxxx}+	GPE
ma-24	421	5	137	CARDINAL
ma-24	422	1	3	CARDINAL
ma-24	424	1	x4	PERSON
ma-24	429	1	2v∂v	CARDINAL
ma-24	429	2	138	CARDINAL
ma-24	431	1	w 2 1 = −vt	QUANTITY
ma-24	432	1	139	CARDINAL
ma-24	432	2	9	CARDINAL
ma-24	439	1	− ut fxx − vtgxx − f	ORG
ma-24	440	1	140	CARDINAL
ma-24	441	1	j. math	PERSON
ma-24	443	1	1 (	CARDINAL
ma-24	443	2	2021	CARDINAL
ma-24	444	1	148case	CARDINAL
ma-24	444	2	w 2 2	PRODUCT
ma-24	445	1	141	CARDINAL
ma-24	445	2	9	CARDINAL
ma-24	447	1	142	CARDINAL
ma-24	448	1	143	CARDINAL
ma-24	448	2	w 1 3	TIME
ma-24	448	3	1− αtux	TIME
ma-24	448	4	w 2 3	PRODUCT
ma-24	449	1	144	CARDINAL
ma-24	449	2	9	CARDINAL
ma-24	453	1	145	CARDINAL
ma-24	453	2	3	CARDINAL
ma-24	454	1	2u ∂ ∂u	MONEY
ma-24	454	2	2v	CARDINAL
ma-24	455	1	146	CARDINAL
ma-24	455	2	−2u	ORG
ma-24	456	1	3tut	ORDINAL
ma-24	457	1	− xvx	PERSON
ma-24	458	1	147	CARDINAL
ma-24	458	2	9	CARDINAL
ma-24	458	3	t4	GPE
ma-24	459	1	3t{f	CARDINAL
ma-24	460	1	3t{f	CARDINAL
ma-24	460	2	2{f	CARDINAL
ma-24	462	1	3	CARDINAL
ma-24	463	1	2	CARDINAL
ma-24	463	2	2guv	CARDINAL
ma-24	464	1	uut − vvt}+	PERSON
ma-24	467	1	3t{fxxut	CARDINAL
ma-24	467	2	4{f	CARDINAL
ma-24	468	1	148	CARDINAL
ma-24	468	2	3.7	CARDINAL
ma-24	469	1	g(t	PERSON
ma-24	469	2	ibagimov’smethod	GPE
ma-24	470	1	j. math	PERSON
ma-24	472	1	1 (	CARDINAL
ma-24	472	2	2021	CARDINAL
ma-24	472	3	1494	DATE
ma-24	473	1	four	CARDINAL
ma-24	473	2	symmetries	ORG
ma-24	474	1	four	CARDINAL
ma-24	475	1	six	CARDINAL
ma-24	479	1	first	ORDINAL
ma-24	479	2	south africa	GPE
ma-24	479	3	mastercard foun-dation	PERSON
ma-24	481	1	1	CARDINAL
ma-24	481	2	d. j. arigo	PERSON
ma-24	481	3	john wiley & sons	ORG
ma-24	481	4	2015.[2	CARDINAL
ma-24	481	5	g. bluman	PERSON
ma-24	481	6	s. anco	PERSON
ma-24	481	7	springer science & businessmedia	ORG
ma-24	481	8	2008.[3	CARDINAL
ma-24	481	9	g. w. bluman	PERSON
ma-24	481	10	s. kumei	PERSON
ma-24	481	11	springer science & business media	ORG
ma-24	481	12	1989.[4	CARDINAL
ma-24	481	13	g. w.	PERSON
ma-24	481	14	cheviakov, a. f.	ORG
ma-24	481	15	anco, s. c	ORG
ma-24	481	16	n. h.	PERSON
ma-24	481	17	wiley	ORG
ma-24	481	18	1999.[6	CARDINAL
ma-24	481	19	j. owuor	PERSON
ma-24	481	20	m. khalique	PERSON
ma-24	481	21	n. h. ibragimov	PERSON
ma-24	481	22	crc	ORG
ma-24	481	23	crc-press	ORG
ma-24	481	24	1994.[8	CARDINAL
ma-24	481	25	n. h.	PERSON
ma-24	481	26	2009.[9	CARDINAL
ma-24	481	27	n. h.	PERSON
ma-24	481	28	j. math	PERSON
ma-24	483	1	333(2007	CARDINAL
ma-24	483	2	311	CARDINAL
ma-24	485	1	1016	CARDINAL
ma-24	487	1	2009.[11	CARDINAL
ma-24	487	2	c. m. khalique	PERSON
ma-24	487	3	s. a. abdallah	PERSON
ma-24	489	1	16(2020	CARDINAL
ma-24	489	2	76	CARDINAL
ma-24	490	1	https://doi.org/10.1016/j.rinp.2020.102967.[12] r. j. leveque	PERSON
ma-24	490	2	springer verlag	PERSON
ma-24	490	3	new york	GPE
ma-24	491	1	1992.[13	CARDINAL
ma-24	491	2	mit	ORG
ma-24	491	3	infinitesimalen transformationen	PERSON
ma-24	492	1	1891.[14	ORG
ma-24	492	2	i. mhlanga	PERSON
ma-24	492	3	c. khalique	PERSON
ma-24	494	1	j. math	PERSON
ma-24	495	1	sci	ORG
ma-24	496	1	11(2017	CARDINAL
ma-24	496	2	1-8.[15	CARDINAL
ma-24	496	3	e. noether	PERSON
ma-24	496	4	invariant variations	ORG
ma-24	497	1	konig	PERSON
ma-24	498	1	gissel	PERSON
ma-24	499	1	wissen	PERSON
ma-24	499	2	gottingen	PERSON
ma-24	501	1	6(1918	DATE
ma-24	501	2	235-257.[16	CARDINAL
ma-24	501	3	springer science & business media	ORG
ma-24	501	4	1993	DATE
ma-24	503	1	j. math	PERSON
ma-24	505	1	1 (	CARDINAL
ma-24	505	2	2021	CARDINAL
ma-24	506	1	150	CARDINAL
ma-24	507	1	17	CARDINAL
ma-24	507	2	2013.[18	ORG
ma-24	507	3	cambridge university	ORG
ma-24	507	4	pres	GPE
ma-24	507	5	cambridge,2013.[19] a. m. wazwaz	ORG
ma-24	507	6	n. hasibun	PERSON
ma-24	507	7	l. abdullah	PERSON
ma-24	507	8	f. aini	PERSON
ma-24	507	9	3	CARDINAL
ma-24	507	10	amer	PERSON
ma-24	508	1	j. appl	PERSON
ma-24	510	1	1(2013	CARDINAL
ma-24	511	1	64	CARDINAL
ma-24	511	2	b. hong	PERSON
ma-24	511	3	d. lu	PERSON
ma-24	511	4	f. sun	PERSON
ma-24	511	5	jacobi	ORG
ma-24	511	6	j. model	PERSON
ma-24	513	1	78-109.[22	CARDINAL
ma-24	513	2	s.m. ege	GPE
ma-24	513	3	e. misirli	PERSON
ma-24	513	4	adv.difference equ. 2014 (	PERSON
ma-24	513	5	2014	DATE
ma-24	513	6	135	CARDINAL
ma-24	514	1	1	CARDINAL
ma-24	514	2	2	CARDINAL
ma-24	514	3	3	CARDINAL
ma-24	514	4	4	CARDINAL