(2+1)维Gardner方程的对称、约化及其群不变解

J4 ›› 2009, Vol. 26 ›› Issue (5): 531-536.

(2+1)维Gardner方程的对称、约化及其群不变解

许斌刘希强

聊城大学数学科学学院山东聊城 252059

出版日期:2009-09-28 发布日期:2009-08-27
通讯作者: 刘希强(1957-)，男，山东菏泽人，聊城大学数学科学学院教授，博士。研究方向为非线性微分方程系统. E-mail:liuxiqiang@sina.com.cn
作者简介:许斌(1978-)，男，山东聊城人，聊城大学数学科学学院硕士研究生。研究方向为非线性发展方程的显式解。Email: xubinmath@live.cn
基金资助:
山东省自然科学基金(Q2005A01)

Symmetries, reductions, group invariant solutions of (2+ 1) -dimensional Gardner equation

XU Bin, LIU Xi-Qiang

School of Mathematical Science,Liao cheng University,Liaocheng,252059, China

Published:2009-09-28 Online:2009-08-27

摘要/Abstract

摘要：

利用经典李群方法,得到了一类(2+1)维Gardner方程的显式解,推广了唐和陈勇的某些结果,并且得到了该方程的对称、约化及其群不变解.

关键词: 李群方法, Gardner方程, 对称, 群不变解

Abstract:

By using the classical Lie group method explicit solutions to the (2+ 1) dimensional Gardner equation are obtained, which generalizes some correspond results are obtained by Tang and Chen Yong, and symmetries,symmetry reductions and group invariant solutions to the equation are presented.

Key words: Lie group method, Gardner equation, symmetries, group invariant solutions

许斌刘希强. (2+1)维Gardner方程的对称、约化及其群不变解[J]. J4, 2009, 26(5): 531-536.

XU Bin, LIU Xi-Qiang. Symmetries, reductions, group invariant solutions of (2+ 1) -dimensional Gardner equation[J]. J4, 2009, 26(5): 531-536.

参考文献

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