Application of the (G′/G)-expansion method for the Zhiber-Shabat equation and other related equations

被引：26

作者：

Borhanifar, A. ^{[1
]}

Moghanlu, Ali Zamiri ^{[1
]}

机构：

[1] Univ Mohaghegh Ardabili, Dept Math, Ardebil, Iran

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 9-10期

关键词：

(G '/G)-expansion method; Zhiber-Shabat equation; Liouville equation; Dodd-Bullough-Mikhailov (DBM) equation; Tzitzeica-Dodd-Bullough (TDB) equation; Traveling wave solutions; TRAVELING-WAVE SOLUTIONS; NONLINEAR EVOLUTION-EQUATIONS; EXTENDED TANH METHOD; EXP-FUNCTION METHOD; GORDON EQUATION;

D O I：

10.1016/j.mcm.2011.05.020

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, the exact traveling wave solutions of the Zhiber-Shabat equation and the related equations: Liouville equation, Dodd-Bullough-Mikhailov (DBM) equation, sinh-Gordon equation, and Tzitzeica-Dodd-Bullough (TDB) equation are studied by using the (G'/G)-expansion method. Solitons and periodic solutions for these equations are formally derived. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2109 / 2116

页数：8

共 40 条

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Borhanifar A., 2009, APPL MATH COMPUT, P1

[12] Qualitative behavior and exact travelling wave solutions of the Zhiber-Shabat equation [J].