Caudrey-Dodd-Gibbon-Kotera-Sawada方程的同宿呼吸波解、周期波解和扭结孤立波解

J4 ›› 2012, Vol. 29 ›› Issue (4): 417-420.

Caudrey-Dodd-Gibbon-Kotera-Sawada方程的同宿呼吸波解、周期波解和扭结孤立波解

王玲,鲜大权

西南科技大学理学院, 四川绵阳 621010

收稿日期:2011-12-06 修回日期:2012-02-01 出版日期:2012-07-28 发布日期:2012-07-01
通讯作者: 鲜大权(1962-),四川阆中人,教授,研究方向为非线性微分方程系统. E-mail:xiandaquan@ swust.edu.cn
作者简介:王玲(1979-),四川绵阳人,助教,研究方向为可积系统理论与应用,E-mail:wangling@swust.edu.cn
基金资助:
四川省教育厅重点科研基金(10ZA021)和国家自然科学基金(10971169)资助项目

Homoclinic breather-wave solutions, periodic-wave solutions and kink solitary-wave solutions for CDGKS equations

WANG Ling, XIAN Daquan

School of Sciences, Southwest University of Science and Technology, Mianyang 621010, China

Received:2011-12-06 Revised:2012-02-01 Published:2012-07-28 Online:2012-07-01

摘要/Abstract

摘要：

利用Painlevé展开和扩展同宿测试法，获得了CDGKS方程的新的同宿呼吸波解、周期波解和扭结孤立波解，丰富了该方程解的内容及其动力学特征。

关键词: CDGKS方程, Painlevé展开法, 扩展同宿测试法, 同宿呼吸波解

Abstract:

The homoclinic breather-wave solutions, periodic wave solutions and kink solitary wave solutions of the CDGKS equation are obtained in this paper by combining Painleve expansion method and extended homoclinic test approach, which enriches the contents and dynamical characteristic of solution.

Key words: CDGKS equation, Painleve expansion method, extended homoclinic test method, homoclinic breather-wave

中图分类号:

O175.2

王玲,鲜大权. Caudrey-Dodd-Gibbon-Kotera-Sawada方程的同宿呼吸波解、周期波解和扭结孤立波解[J]. J4, 2012, 29(4): 417-420.

WANG Ling, XIAN Daquan. Homoclinic breather-wave solutions, periodic-wave solutions and kink solitary-wave solutions for CDGKS equations[J]. J4, 2012, 29(4): 417-420.

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