一类可积的DaveyStewartson方程组的周期波解

J4 ›› 2009, Vol. 44 ›› Issue (6): 85-90.

一类可积的DaveyStewartson方程组的周期波解

刘绍庆^1,2,郑艳琳¹

1. 山东科技大学公共课部, 山东济南 250031; 2. 中国海洋大学信息科学与工程学院, 山东青岛 266100

收稿日期:2008-11-21 发布日期:2011-06-03
作者简介:刘绍庆(1977-),女,讲师,硕士,主要从事非线性发展方程等相关研究. Email: carrielsq@gmail.com

The periodic wave solutions of the integrable DaveyStewartson eq uations

LIU Shaoqing^1,2, ZHENG Yanlin¹

1. Department of Basic Courses, Shandong University of Science and Technology, Jinan 250031, Shandong, China; 
2. College of Information Science and Engineering, Ocean Univers ity of China, Qingdao 266100, Shandong, China

Received:2008-11-21 Published:2011-06-03

摘要/Abstract

摘要：

结合齐次平衡法原理利用新近提出的F展开法,研究了DaveyStewartson方程组的各种椭圆函数周期解,并且在极限情况下,得到了方程组的孤波解以及其他形式解。

关键词: 周期波解;DaveyStewartson方程组;F展开法

Abstract:

Combining the homogeneous balance and Fexpansion method, different kinds of periodic wave solutions of Jacobi ellipticfunction for the DaveyStewartson equation is studied. In the limit cases, the solitary wave solutions and some type of traveling wave solutions for the system are obtained.

Key words: periodic wave solutions; DaveyStewartson equation; Fexpansion method

中图分类号:

O1752

. 一类可积的DaveyStewartson方程组的周期波解[J]. J4, 2009, 44(6): 85-90.

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