New exact travelling wave solutions to Kundu equation

被引：12

作者：

Huang, DJ ^{[1
]}

Li, DS

Zhang, HQ

机构：

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

[2] Shenyang Normal Univ, Dept Math, Shenyang 110034, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2005年 / 44卷 / 06期

关键词：

nonlinear evolution equation; Kundu equation; ordinary differential equation; algorithm; exact solution; travelling wave solution;

D O I：

10.1088/6102/44/6/969

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on a first-order nonlinear ordinary differential equation with six-degree nonlinear term, we first present a new auxiliary equation expansion method and its algorithm. Being concise and straightforward, the method is applied to the Kundu equation. As a result, some new exact travelling wave solutions are obtained, which include bright and dark solitary wave solutions, triangular periodic wave solutions, and singular solutions. This algorithm can also be applied to other nonlinear evolution equations in mathematical physics.

引用

页码：969 / 976

页数：8

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