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

[21] Symmetry and conservation laws of the (2+1)-dimensional nonlinear Schrodinger-type equation
Serikbayev, Nurzhan
Saparbekova, Akbota
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2023, 20 (10)
[22] A (2+1)-dimensional breaking soliton equation: Solutions and conservation laws
Yildirim, Yakup
Yasar, Emrullah
CHAOS SOLITONS & FRACTALS, 2018, 107 : 146 - 155
[23] Solitons for the modified (2+1)-dimensional Konopelchenko-Dubrovsky equations
Lyu, Xiumei
Gu, Wei
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01):
[24] Optical solitary waves and conservation laws to the (2+1)-dimensional hyperbolic nonlinear Schrodinger equation
Aliyu, Aliyu Isa
Inc, Mustafa
Yusuf, Abdullahi
Baleanu, Dumitru
MODERN PHYSICS LETTERS B, 2018, 32 (30):
[25] Conservation laws and Lie symmetries a (2+1)-dimensional thin film equation
Elena Recio
Tamara M. Garrido
Rafael de la Rosa
María S. Bruzón
Journal of Mathematical Chemistry, 2019, 57 : 1243 - 1251
[26] Conservation laws and Lie symmetries a (2+1)-dimensional thin film equation
Recio, Elena
Garrido, Tamara M.
de la Rosa, Rafael
Bruzon, Maria S.
JOURNAL OF MATHEMATICAL CHEMISTRY, 2019, 57 (05) : 1243 - 1251
[27] Conservation laws and solutions of a generalized coupled (2+1)-dimensional Burgers system
Motsepa, Tanki
Khalique, Chaudry Masood
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (06) : 1333 - 1339
[28] Symmetry analysis and conservation laws for a coupled (2+1)-dimensional hyperbolic system
Muatjetjeja, Ben
Khalique, Chaudry Masood
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) : 1252 - 1262
[29] Group invariant solutions and conservation laws of (2+1)-dimensional AKNS equation
Xia, Shuangshuang
Wang, Zenggui
JOURNAL OF GEOMETRY AND PHYSICS, 2022, 175
[30] New exact solutions for the conformable space-time fractional KdV, CDG, (2+1)-dimensional CBS and (2+1)-dimensional AKNS equations
Yaslan, H. C.
Girgin, A.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2019, 13 (01): : 1 - 8

← 1 2 3 4 5 →