Traveling wave solutions for two nonlinear evolution equations with nonlinear terms of any order

被引：0
作者：
冯青华 [1 ,2 ]
孟凡伟 [2 ]
张耀明 [1 ]
机构：
[1] School of Science,Shandong University of Technology
[2] School of Mathematical Sciences,Qufu Normal University
来源：
Chinese Physics B | 2011年 / 20卷 / 12期
基金：
高等学校博士学科点专项科研基金; 中国国家自然科学基金;
关键词：
first integral method; Riccati equation; nonlinear equation; traveling wave solution;
D O I：
暂无
中图分类号：
O411.1 [数学物理方法]; O175 [微分方程、积分方程];
学科分类号：
0701 ; 070104 ;
摘要：
In this paper,based on the known first integral method and the Riccati sub-ordinary differential equation (ODE) method,we try to seek the exact solutions of the general Gardner equation and the general Benjamin-Bona-Mahoney equation.As a result,some traveling wave solutions for the two nonlinear equations are established successfully.Also we make a comparison between the two methods.It turns out that the Riccati sub-ODE method is more effective than the first integral method in handling the proposed problems,and more general solutions are constructed by the Riccati sub-ODE method.
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页码：21 / 29
页数：9
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