Exact traveling wave solutions to higher order nonlinear equations

被引：44

作者：

Alam, Md Nur ^{[1
]}

Li, Xin ^{[1
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei, Anhui, Peoples R China

来源：

JOURNAL OF OCEAN ENGINEERING AND SCIENCE | 2019年 / 4卷 / 03期

关键词：

Generalized (G '/G)-expansion method; Fifth-order Korteweg-de Vries equation; (3 + 1)-dimensional modified KdV-Zakharov-Kuznetsov equation; (3 + 1)-dimensional Jimbo-Miwa equation; Traveling wave solutions; GENERALIZED (G'/G)-EXPANSION METHOD; JIMBO-MIWA EQUATION; EXP-FUNCTION METHOD; KADOMTSEV-PETVIASHVILI; SOLITON-SOLUTIONS; KDV EQUATIONS; MODEL;

D O I：

10.1016/j.joes.2019.05.003

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

摘要：

The present paper applies the new generalized (G'/G)-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation, (3 + 1)-dimensional Modified KdV-Zakharov-Kuznetsov equation, and (3 + 1)-dimensional Jimbo-Miwa equations and obtains some new exact traveling wave solutions. The solutions are checked by putting back into the physical model and are observed to be very advantageous over several existing methods. The newly method could also be utilized to find exact traveling wave solutions for the other nonlinear evolution equations in the field of applied nonlinear sciences. (C) 2019 Shanghai Jiaotong University. Published by Elsevier B.V.

引用

页码：276 / 288

页数：13

共 62 条

[1] Application of He's homotopy perturbation method to functional integral equations [J].