Broer–Kaup–Kupershmidt方程的新精确解

J4 ›› 2012, Vol. 29 ›› Issue (2): 142-146.

Broer–Kaup–Kupershmidt方程的新精确解

杨立娟¹ 杨琼芬¹ 杜先云²

1 绵阳师范学院数学与计算机科学学院，四川绵阳 621000；
2 成都信息工程学院数学学院, 四川成都 610225

收稿日期:2011-03-24 修回日期:2011-04-25 出版日期:2012-03-28 发布日期:2012-02-28
通讯作者: 杨立娟（1975-）,女,讲师,研究方向为动力系统-分支与混沌。 E-mail:yanglj_ts@126.com
基金资助:
国家自然科学基金资助项目(10901136)

New exact solutions of Broer–Kaup–Kupershmidt equation

YANG Li-juan¹， YANG Qiong-fen¹，DU Xian-yun²

1 School of Mathematics and Computer Science, Mianyang Normal University, Mianyang 621000, China；
2 College of Mathematics ,Chengdu University of Information Technology, Chengdu 610225, China

Received:2011-03-24 Revised:2011-04-25 Published:2012-03-28 Online:2012-02-28

摘要/Abstract

摘要：

CK方法是求解非线性发展方程的一种有效的直接方法.利用推广的CK方法，求得(2+1)维Broer–Kaup–Kupershmidt方程的Backlund公式，从而获得方程的大量新的精确解，推广了文献[13-14]中的结果.

关键词: 非线性发展方程, Broer–Kaup–Kupershmidt方程, 精确解, CK方法, Backlund变换

Abstract:

CK method is a powerful direct method for nonlinear equation. By using the modified CK method , we obtain the Backlund transformation of the (2+1)-dimensional Broer–Kaup–Kupershmidt equations．So a lot of new solutions are found, and some known results in the paper [13-14] were generalized.

Key words: nonlinear equation, Broer–Kaup–Kupershmidt equation, exact solutions, CK method, Backlund transformation

中图分类号:

O175.2

杨立娟杨琼芬杜先云. Broer–Kaup–Kupershmidt方程的新精确解[J]. J4, 2012, 29(2): 142-146.

YANG Li-juan， YANG Qiong-fen，DU Xian-yun. New exact solutions of Broer–Kaup–Kupershmidt equation[J]. J4, 2012, 29(2): 142-146.

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