The (G′/G) expansion method for Tzitzeica type nonlinear evolution equations

被引：36

作者：

Abazari, Reza ^{[1
]}

机构：

[1] Islamic Azad Univ, Ardabil Branch, Ardebil, Iran

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 52卷 / 9-10期

关键词：

(G '/G)-expansion method; Tzitzeica equation; Dodd-Bullough-Mikhailov (DBM) equation; Tzitzeica-Dodd-Bullough (TDB) equation; Hyperbolic function solutions; Trigonometric function solutions; TRAVELING-WAVE SOLUTIONS; EXP-FUNCTION METHOD; (G'/G)-EXPANSION METHOD; PERTURBATION METHOD; PERIODIC-SOLUTIONS; SOLITON-SOLUTIONS; TRANSFORMATION;

D O I：

10.1016/j.mcm.2010.07.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this work, the (G'G)-expansion method is applied for constructing more general exact solutions of the three nonlinear evolution equations with physical interest namely, the Tzitzeica equation, the Dodd-Bullough-Mikhailov (DBM) equation and the Tzitzeica-Dodd-Bullough (TDB) equation. Our work is motivated by the fact that the (G'G)-expansion method provides not only more general forms of solutions but also periodic and solitary waves. If we set the parameters in the obtained wider set of solutions as special values, then some previously known solutions can be recovered. The method appears to be easier and faster by means of a symbolic computation system. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1834 / 1845

页数：12

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