A Burgers equation-based constructive method for solving nonlinear evolution equations

被引：15

作者：

Lü, ZS ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China

来源：

PHYSICS LETTERS A | 2006年 / 353卷 / 2-3期

基金：

中国博士后科学基金;

关键词：

D O I：

10.1016/j.physleta.2005.12.087

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Inspired by the extended tanh function method and the direct method of symmetry reduction, we present a Burgers equation-based constructive method for solving nonlinear evolution equations (NLEEs). This method allows us to generate the solutions of NLEEs by the solutions of the Burgers equation. Applying this method to the NLEEs, we can obtain soliton-like solutions, multi-soliton-like solutions, formal periodic solutions and rational solutions, etc. We take the Boiti-Leon-Pempinelli equation as an example to illustrate the algorithm. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：158 / 160

页数：3

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