(2+1)-维非线性发展方程的对称约化和精确解

J4 ›› 2010, Vol. 45 ›› Issue (8): 71-75.

(2+1)-维非线性发展方程的对称约化和精确解

辛祥鹏,刘希强,张琳琳

聊城大学数学科学学院, 山东聊城 252059

收稿日期:2009-09-18 出版日期:2010-08-16 发布日期:2010-09-16
作者简介:辛祥鹏(1982-),男,硕士研究生,研究方向为非线性发展方程的显示解.Email:xinxiangpeng2008@yahoo.com.cn
基金资助:
山东省自然科学基金资助项目(Y2008A35,Y2007G64)

Symmetry reductions and exact solutions of a (2+1)-dimensional nonlinear evolution equation

XIN Xiang-peng, LIU Xi-qiang, ZHANG Lin-lin

School of Mathematical Science, Liaocheng University, Liaocheng 252059, Shandong, China

Received:2009-09-18 Online:2010-08-16 Published:2010-09-16

摘要/Abstract

摘要：

利用直接对称方法,获得了(2+1)-维非线性发展方程的对称约化和精确解,包括雅可比椭圆函数解、双曲函数解、三角函数解等精确解。这些精确解在解释一些物理问题上起重要作用。

关键词: 非线性发展方程;直接对称方法;对称;精确解

Abstract:

By applying a direct symmetry method, the symmetry reduction and some new exact solutions of (2+1)-dimensional nonlinear evolution equation are obtained, which include Jacobi elliptic function, hyperbolic function, trigonometric function and so on. These exact solutions may be of importance in the explanation of some practical problems in physics.

Key words: nonlinear evolution equation; direct symmetry method; symmetry; exact solution

辛祥鹏,刘希强,张琳琳. (2+1)-维非线性发展方程的对称约化和精确解[J]. J4, 2010, 45(8): 71-75.

XIN Xiang-peng, LIU Xi-qiang, ZHANG Lin-lin. Symmetry reductions and exact solutions of a (2+1)-dimensional nonlinear evolution equation[J]. J4, 2010, 45(8): 71-75.

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