Traveling Wave Solutions of Two Nonlinear Wave Equations by (G '/G)- Expansion Method
Traveling Wave Solutions of Two Nonlinear Wave Equations by (G '/G)- Expansion Method
复制标题
两个非线性波动方程的行波解(G'/G)-展开法
DOI：
10.1155/2018/8583418
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发表时间：
2018
影响因子：
1.2
通讯作者：
Zhang Ben-Gong
中科院分区：
文献类型：
--
作者：
Shi Ya-Zhou;Li Xiangpeng;Zhang Ben-Gong
利用（G′/G）-展开法求出了两个非线性波动方程Padé-II方程和Drinfel'd-Sokolov-Wilson（DSW）方程的精确行波解.得到了双曲函数解、三角函数解和一般参数的有理解。有趣的是，当参数取特殊值时，可以得到精确的孤立波解和新的精确行波解。与其他方法相比，本文所用的方法是非常直接的。（G′/G）-展开法在处理非线性波动方程方面具有广泛的适用性。
We employ the (G′/G)‐expansion method to seek exact traveling wave solutions of two nonlinear wave equations—Padé‐II equation and Drinfel’d‐Sokolov‐Wilson (DSW) equation. As a result, hyperbolic function solution, trigonometric function solution, and rational solution with general parameters are obtained. The interesting thing is that the exact solitary wave solutions and new exact traveling wave solutions can be obtained when the special values of the parameters are taken. Comparing with other methods, the method used in this paper is very direct. The (G′/G)‐expansion method presents wide applicability for handling nonlinear wave equations.