Lie symmetry reductions and exact solutions of a coupled KdV-Burgers equation

被引：27

作者：

Yang, Shaojie ^{[1
]}

Hua, Cuncai ^{[1
]}

机构：

[1] Yunnan Normal Univ, Sch Math, Kunming 650500, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 234卷

关键词：

Lie group; Coupled KdV-Burgers equation; Solitary wave solutions; Similarity solutions;

D O I：

10.1016/j.amc.2014.01.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on classical Lie group method, with the help of Maple software, we study a coupled KdV-Burgers equation, and get its infinitesimal generator, commutation table of Lie algebra, symmetry group and similarity reductions. In particular, solitary wave solutions and similarity solutions of the coupled KdV-Burgers equation are derived from the reduction equations. (C) 2014 The Authors. Published by Elsevier Inc.

引用

页码：579 / 583

页数：5

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