Traveling Wave Solutions For The (2+1) Dimensional Boussinesq Equation And The Two-Dimensional Burgers Equation By (G'/G)-expansion method

Bin Zheng

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Traveling Wave Solutions For The (2+1) Dimensional Boussinesq Equation And The Two-Dimensional Burgers Equation By (G'/G)-expansion method

机译：用（G'/ G）-展开法求解（2 + 1）维Boussinesq方程和二维Burgers方程的行波解

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In this paper, we demonstrate the effectiveness of the (G'/G)-expansion method by seeking more exact solutions of the (2+1) dimensional Boussinesq equation and the two-dimensional Burgers equation. By the method, the two nonlinear evolution equations are separately reduced to non-linear ordinary differential equations (ODE) by using a simple transformation. As a result, the traveling wave solutions are obtained in three arbitrary functions including hyperbolic function solutions, trigonometric function solutions and rational solutions. When the parameters are taken as special values, we also obtain the soliton solutions of the fifth-order Kdv equation. The method appears to be easier and faster by means of a symbolic computation system.

机译：在本文中，我们通过寻求（2 + 1）维Boussinesq方程和二维Burgers方程的更精确解来证明（G'/ G）展开方法的有效性。通过该方法，通过使用简单的变换，将两个非线性发展方程分别简化为非线性常微分方程（ODE）。结果，在三个任意函数中获得行波解，包括双曲函数解，三角函数解和有理解。当参数取特殊值时，我们还获得了五阶Kdv方程的孤子解。通过符号计算系统，该方法看起来更容易，更快捷。

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《WSEAS Transactions on Computers》 |2010年第6期|共10页
作者
Bin Zheng;
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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
(G'/G)-expansion method; Traveling wave solutions; (2+1) dimensional Boussinesq equation; Two-dimensional Burgers equation; Exact solution; Evolution equation; Nonlinear equation;

机译：（G'/ G）-展开法;行波解;（2 + 1）维Boussinesq方程;二维Burgers方程;精确解;演化方程;非线性方程;

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1. Traveling Wave Solutions For The (2+1) Dimensional Boussinesq Equation And The Two-Dimensional Burgers Equation By (G'/G)-expansion method [J] . Bin Zheng WSEAS Transactions on Computers . 2010,第4a6期

机译：用（G'/ G）-展开法求解（2 + 1）维Boussinesq方程和二维Burgers方程的行波解
2. New exact traveling wave solutions for the two-dimensional KdV-Burgers and Boussinesq equations [J] . Elgarayhi A, Elhanbaly A Physics Letters, A . 2005,第1a3期

机译：二维KdV-Burgers和Boussinesq方程的新精确行波解
3. The compound (G '/G)-expansion method and double non-traveling wave solutions of (2+1)-dimensional nonlinear partial differential equations [J] . Guo Shimin, Mei Liquan, Zhou Yubin Computers & mathematics with applications . 2015,第8期

机译：（2 + 1）维非线性偏微分方程的复合（G'/ G）展开法和双非行波解
4. Traveling Wave Solution of (2+1) Dimensional Boussinesq Equation By Bernoulli Sub-ODE Method [C] . Qinghua Feng, Tongbo Liu International Conference on MEMS, NANO and Smart Systems . 2012

机译：（2 + 1）尺寸Boussinesq方程的行进波解伯努利子颂法方法
5. Traveling wave solution to two-dimensional burgers-korteweg-de vries equation. [D] . Gong, Xiaoqian. 2013

机译：二维burgers-korteweg-de vries方程的行波解。
6. Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations [O] . Jian-ming Qi, Fu Zhang, Wen-jun Yuan, -1

机译：（2 + 1）维Boiti-Leon-Pempinelli方程的一些新的行波精确解
7. Exact traveling wave solutions to the (3+1)-dimensional mKdV–ZK and the (2+1)-dimensional Burgers equations via exp(−Φ(η))-expansion method [O] . Md. Nur Alam, M.G. Hafez, M. Ali Akbar, 2015

机译：（3 + 1）维mKdV-ZK和（2 + 1）维Burgers方程的精确行波解exp（-Φ（η）） - 展开法

Traveling Wave Solutions For The (2+1) Dimensional Boussinesq Equation And The Two-Dimensional Burgers Equation By (G'/G)-expansion method

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