Study on exact analytical solutions for two systems of nonlinear evolution equations

被引：4

作者：

Yan, ZY ^{[1
]}

Zhang, HQ ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2001年 / 22卷 / 08期

关键词：

nonlinear evolution equations; improved homogeneous balance method; exact analytical solution; solitary wave solution; rational solution;

D O I：

10.1023/A:1016394310716

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The homogeneous balance method was improved and applied to two systems Of nonlinear evolution equations. As a result, several families of exact analytic solutions are derived by some new ansatzs. These solutions contain Wang's and Zhang's results and other new types of analytical solutions, such as rational fraction solutions and periodic solutions. The way can also be applied to solve more nonlinear partial differential equations.

引用

页码：925 / 934

页数：10

共 13 条

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