Multi-soliton solution, rational solution of the Boussinesq-Burgers equations

被引：19

作者：

Rady, A. S. Abdel ^{[1
]}

Osman, E. S. ^{[1
]}

Khalfallah, Mohammed ^{[1
]}

机构：

[1] S Valley Univ, Fac Sci, Dept Math, Qeno, Egypt

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 05期

关键词：

Backlund transformation; Boussinesq-Burgers equations; Homogeneous balance method; Soliton solutions; Generalized tan h method; Riccati equation; TRAVELING-WAVE SOLUTIONS; TRANSFORMATION; VARIANT; SYSTEM;

D O I：

10.1016/j.cnsns.2009.05.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the Boussinesq-Burgers equations and establish the transformation which turns the Boussinesq-Burgers equations into the single nonlinear partial differential equation, then we obtain an auto-Backlund transformation and abundant new exact solutions, including the multi-solitary wave solution and the rational series solutions. Besides the new trigonometric function periodic solutions are obtained by using the generalized tan h method. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1172 / 1176

页数：5

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