Application of the (G'/G) -expansion Method to Generalized Kawahara Equation and Generalized KdV Equation

Yin Li; Wei Yan

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Application of the (G'/G) -expansion Method to Generalized Kawahara Equation and Generalized KdV Equation

机译：（G'/ G）展开法在广义Kawahara方程和广义KdV方程中的应用

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摘要

In this paper, we apply (G'/G) -expansion method to obtain the travelling wave solutions of the generalized Kawahara equation and the generalized KdV equation. We use the hyperbolic functions and trigonometric functions and rational functions to express the exact solutions of the generalized Kawahara equation and the generalized KdV equation.

机译：在本文中，我们应用（G'/ G）展开法获得广义Kawahara方程和广义KdV方程的行波解。我们使用双曲函数，三角函数和有理函数来表示广义Kawahara方程和广义KdV方程的精确解。

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《Journal of Basic and Applied Physics》 |2013年第2期|共8页
作者
Yin Li; Wei Yan;
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中图分类应用物理学;
关键词
(G'/G) -Expansion MethodGeneralized Kawahara EquationGeneralized Kdv Equation;

机译：（G'/ G）-展开方法广义Kawahara方程广义Kdv方程;

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专利

1. Kawahara equation and modified Kawahara equation with time dependent coefficients: Symmetry analysis and generalized G ′ G -expansion method [J] . Kaur L., Gupta R.K. Mathematical Methods in the Applied Sciences . 2013,第5期

机译：具有时间相关系数的Kawahara方程和修正的Kawahara方程：对称性分析和广义G'G展开法
2. A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation [J] . Sabry R, Zahran MA, Fan EG Physics Letters, A . 2004,第1a2期

机译：一种新的广义展开方法及其在寻找广义变系数KdV方程的显式精确解中的应用
3. An improved generalized F-expansion method and its application to the (2 + 1)-dimensional KdV equations [J] . Sheng Zhang, Tiecheng Xia Communications in Nonlinear Science and Numerical Simulation . 2008,第7期

机译：改进的广义F展开方法及其在（2 +1）维KdV方程中的应用
4. Improved Generalized F-expansion Method for the time Fractional Modified KdV(fmKdV) Equation [C] . Abdullah Sonmezoglu International Conference of Numerical Analysis and Applied Mathematics . 2016

机译：改进的广义F扩展方法分数修改KDV（FMKDV）方程
5. Global dynamics of dissipative generalized KdV equations and Boussinesq equations [D] . Cao, Jun 1994

机译：耗散广义KdV方程和Boussinesq方程的整体动力学
6. Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation [O] . Hasibun Naher, Farah Aini Abdullah, M. Ali Akbar -1

机译：（3 + 1）维修正KdV-Zakharov-Kuznetsev方程的广义和改进（G/ G）-展开方法
7. The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation [O] . Naher Hasibun, Abdullah Farah Aini, Rashid Abdur 2014

机译：（3 + 1）维修正KDV-zakharov-kuznetsov方程的广义riccati方程与（G'/ G）-展开方法

Application of the (G'/G) -expansion Method to Generalized Kawahara Equation and Generalized KdV Equation

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