Traveling wave solutions for some coupled nonlinear evolution equations

被引：139

作者：

Seadawy, A. R. ^{[1
]}

El-Rashidy, K. ^{[2
]}

机构：

[1] Taibah Univ, Fac Sci & Arts, Dept Math, Al Ula, Saudi Arabia

[2] Taif Univ, Dept Math, Coll Arts & Sci, Raniah, Saudi Arabia

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2013年 / 57卷 / 5-6期

关键词：

Direct algebraic method; Traveling wave solutions; Coupled KdV equations; Coupled Boussinesq equations; Coupled Burgers equations; Generalized coupled KdV equations; VARIANT BOUSSINESQ EQUATIONS; SOLVING BURGERS; SOLITARY WAVES; KDV; LATTICE; SYSTEM;

D O I：

10.1016/j.mcm.2012.11.026

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the present paper, an extended algebraic method is used for constructing exact traveling wave solutions for some coupled nonlinear evolution equations. By implementing the direct algebraic method, new exact solutions of the coupled KdV equations, coupled system of variant Boussinesq equations, coupled Burgers equations and generalized coupled KdV equations are obtained. The present results describe the generation and evolution of such waves, their interactions, and their stability. Moreover, the method can be applied to a wide class of coupled nonlinear evolution equations. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1371 / 1379

页数：9

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