Trial equation method and its applications to nonlinear evolution equations

被引：136

作者：

Liu, CS ^{[1
]}

机构：

[1] Daqing Petr Inst, Dept Math, Daqing 163318, Peoples R China

来源：

ACTA PHYSICA SINICA | 2005年 / 54卷 / 06期

关键词：

trial equation method; nonlinear evolution equation; solitary wave solutions; Jacobian elliptic function; periodic solutions;

D O I：

10.7498/aps.54.2505

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new method, that is, trial equation method, was given to obtain the exact traveling wave solutions for nonlinear evolution equations. As an example, a class of fifth-order nonlinear evolution equations was discussed. Its exact traveling wave solutions, which included rational form solutions, Solitary wave solutions, triangle function periodic solutions, polynomial type Jacobian elliptic function periodic solutions and fractional type Jacobian elliptic function periodic solutions, were given.

引用

页码：2505 / 2509

页数：5

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