利用一般tanh函数法和(G′/G)函数扩展法求非线性波动方程的行波解及其一致性分析

J4 ›› 2013, Vol. 51 ›› Issue (03): 377-382.

利用一般tanh函数法和(G′/G)函数扩展法求非线性波动方程的行波解及其一致性分析

李恒燕¹, 韩笑², 刘天宝³

1. 华北水利水电学院数学与信息科学学院, 郑州 450011|2. 吉林大学数学学院, 长春 130012;3. 空军航空大学数学教研室, 长春 130022

收稿日期:2012-07-09 出版日期:2013-05-26 发布日期:2013-05-17
通讯作者: 韩笑 E-mail:hanx@jlu.edu.cn

Traveling Wave Solutions of Nonlinear Wave Equationsby tanh\|Function Method and (G′/G) Function Expansion Methodand Their Consistency Analysis

LI Heng yan¹, HAN Xiao², LIU Tian bao³

1. College of Mathematics and Information Science, North China University of Water Resources and Electric Power,Zhengzhou 450011, China|2. College of Mathematics, Jilin University, Changchun 130012, China;3. Teaching and Research Section of Mathematics, Aviation University of Air Force, Changchun 130022, China

Received:2012-07-09 Online:2013-05-26 Published:2013-05-17
Contact: HAN Xiao E-mail:hanx@jlu.edu.cn

摘要/Abstract

摘要：

利用tanh函数法和(G′/G)函数扩展法求非线性方程的行波解. 通过对一般的非线性波动方程求解并分析表明, 两种方法的结果具有一致性. 此外, 利用推广的双曲正切法比双曲正切法和G′/G法得到了更多的行波解.

关键词: 非线性波动方程, tanh函数法, (G′/G)函数扩展法

Abstract:

We presented tanh\|function method and (G′/G) function expansion method to solve the solutions of nonlinear wave equation, confirm
ing the consistency of the traveling wave solutions by them. Such an analysis can make us find their common parts. As for the general nonlinear wave equation, we used tanh\|function method and (G′/G) function expansion method to solve their traveling wave solutions respectively.

Key words: nonlinear wave equation, tanh\, function method, \%(G′/G)\% function expansion method


中图分类号:

O175

李恒燕, 韩笑, 刘天宝. 利用一般tanh函数法和(G′/G)函数扩展法求非线性波动方程的行波解及其一致性分析[J]. J4, 2013, 51(03): 377-382.

LI Heng-Yan, HAN Xiao, LIU Tian-Bao. Traveling Wave Solutions of Nonlinear Wave Equationsby tanh\|Function Method and (G′/G) Function Expansion Methodand Their Consistency Analysis[J]. J4, 2013, 51(03): 377-382.

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[2]	常晶, 刘丽环, 高忆先, 刘博文. 利用改进的(G′/G)函数法求解非线性发展方程的行波解[J]. J4, 2012, 50(03): 487-.
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