几个特殊类型非线性方程的显式精确解

J4 ›› 2012, Vol. 47 ›› Issue (12): 115-120.

几个特殊类型非线性方程的显式精确解

郭鹏,张磊,王小云,孙小伟

兰州交通大学数理与软件工程学院, 甘肃兰州 730070

收稿日期:2011-11-05 出版日期:2012-12-20 发布日期:2012-12-14
作者简介:郭鹏(1978- )，男，讲师，研究方向为非线性物理. Email: guopenglzjtu@126.com
基金资助:
国家自然科学基金资助项目(11164013);甘肃省自然科学基金资助项目(0916RJZA047,1014RJZA046)

GUO Peng, ZHANG Lei, WANG Xiao-yun, SUN Xiao-wei

School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China

Received:2011-11-05 Online:2012-12-20 Published:2012-12-14

摘要/Abstract

摘要：

对试探函数方法进行了扩展,通过引入新的试探函数找到了广义Burgers-Fisher方程、Zhiber-Shabat方程和Hirota方程的几类精确解。实例证明在对特殊类型非线性方程的求解中,试探函数方法是一种简便易行的方法。

关键词: 试探函数方法;广义Burgers-Fisher方程;Zhiber-Shabat方程;Hirota方程;精确解

Abstract:

Introducing new trial function, the trial function method is extended to find several types of exact solutions to generalized Burgers-Fisher equation, Zhiber-Shabat equation and Hirota equation. The results indicate that this approach is simple and efficient for solving special nonlinear equations.

Key words: trial function method; generalized Burgers-Fisher equation; Zhiber-Shabat equation; Hirota equation; exact solution

郭鹏,张磊,王小云,孙小伟. 几个特殊类型非线性方程的显式精确解[J]. J4, 2012, 47(12): 115-120.

GUO Peng, ZHANG Lei, WANG Xiao-yun, SUN Xiao-wei. [J]. J4, 2012, 47(12): 115-120.

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