Solitons and Conservation Laws for the (2+1)-Dimensional Davey-Stewartson Equations with Conformable Derivative

被引：3

作者：

Yusuf, Abdullahi ^{[1
,2
]}

Inc, Mustafa ^{[1
]}

Aliyu, Aliyu Isa ^{[1
,2
]}

Baleanu, Dumitru ^{[3
,4
]}

机构：

[1] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

[2] Fed Univ Dutse, Fac Sci, Dept Math, Jigawa 7156, Nigeria

[3] Cankaya Univ, Dept Math, Ogretmenler Cad 1406530, Ankara, Turkey

[4] Inst Space Sci, Bucharest 077125, Romania

来源：

JOURNAL OF ADVANCED PHYSICS | 2018年 / 7卷 / 02期

关键词：

DSE; PREA; Solitons; Conformable Derivative; Conservation Laws;

D O I：

10.1166/jap.2018.1413

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This research obtains some new solitons for the Davey-Stewartson equation (DSE) with conformable derivative. The well known projective Ricatti equation ansatz (PREA) is employed to reach such solitons. The constraints conditions for the existence of soliton solutions are reported. Moreover, the conservation laws (Cls) for the governing equation is studied via multiplier technique. Physical features of some solutions are illustrated in Figures 1-8.

引用

页码：167 / 175

页数：9

共 50 条

[41] On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics
Motsepa, Tanki
Khalique, Chaudry Masood
OPEN PHYSICS, 2018, 16 (01): : 211 - 214
[42] Cnoidal and Snoidal Waves Solutions and Conservation Laws of a Generalized (2+1)-Dimensional KdV Equation
Motsepa, Tanki
Khalique, Chaudry Masood
MATHEMATICAL PHYSICS, 2018, : 253 - 263
[43] Conservation laws and exact solutions of a generalized (2+1)-dimensional Bogoyavlensky-Konopelchenko equation
Podilea, T. J.
Muatjetjejaa, B. B.
Ademc, A. R.
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 : 709 - 718
[44] Conservation laws and double reduction of (2+1) dimensional Calogero-Bogoyavlenskii-Schiff equation
San, Sait
Akbulut, Arzu
Unsal, Omer
Tascan, Filiz
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (05) : 1703 - 1710
[45] Exact solutions and conservation laws of (2+1)-dimensional Boiti-Leon-Pempinelli equation
Yu Jin-qian
Liu Xi-qiang
Wang Ting-ting
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (08) : 2293 - 2300
[46] Construction of invariant solutions and conservation laws to the (2+1)-dimensional integrable coupling of the KdV equation
Gao, Ben
Yin, Qinglian
BOUNDARY VALUE PROBLEMS, 2020, 2020 (01):
[47] Conservation laws, solitons, breather and rogue waves for the (2+1)-dimensional variable-coefficient Nizhnik-Novikov-Veselov system in an inhomogeneous medium
Yu, Ming-Xiao
Tian, Bo
Yuan, Yu-Qiang
Sun, Yan
Du, Xia-Xia
CHINESE JOURNAL OF PHYSICS, 2018, 56 (02) : 645 - 658
[48] Solitons, bilinear Backlund transformations and conservation laws for a (2+1)-dimensional Bogoyavlenskii-Kadontsev-Petviashili equation in a fluid, plasma or ferromagnetic thin film
Yin, Hui-Min
Tian, Bo
Zhen, Hui-Ling
Chai, Jun
Liu, Lei
Sun, Yan
JOURNAL OF MODERN OPTICS, 2017, 64 (07) : 725 - 731
[49] Lax pair, infinitely many conservation laws and solitons for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients
Lan, Zhongzhou
Gao, Bo
APPLIED MATHEMATICS LETTERS, 2018, 79 : 6 - 12
[50] Multiple-solitons for generalized (2+1)-dimensional conformable Korteweg-de Vries-Kadomtsev-Petviashvili equation
Akinyemi, Lanre
Senol, Mehmet
Tasbozan, Orkun
Kurt, Ali
JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2022, 7 (06) : 536 - 542

← 1 2 3 4 5 →