Generalized and Improved(G′/G)-Expansion Method Combined with Jacobi Elliptic Equation  

作　　者：M.Ali Akbar Norhashidah Hj.Mohd.Ali E.M.E.Zayed 

机构地区：[1]School of Mathematical Sciences, Universiti Sains Malaysia [2]Department of Applied Mathematics, University of Rajshahi [3]Mathematics Department, Faculty of Science, Zagazig University

出　　处：《Communications in Theoretical Physics》2014年第6期669-676,共8页理论物理通讯（英文版）

摘　　要：In this article, we propose an alternative approach of the generalized and improved （G＇/G）-expansion method and build some new exact traveling wave solutions of three nonlinear evolution equations, namely the Boiti- Leon-Pempinelle equation, the Pochhammer-Chree equations and the Painleve integrable Burgers equation with free parameters. When the free parameters receive particular values, solitary wave solutions are constructed from the traveling waves. We use the Jacob/elliptic equation as an auxiliary equation in place of the second order linear equation. It is established that the proposed algorithm offers a further influential mathematical tool for constructing exact solutions of nonlinear evolution equations.

关 键 词：Boiti-Leon-Pempinelle equation Painleve integrable burgers equation Pochhammer-Chree equa-tion （GI/G）-expansion method traveling wave solutions 

分 类 号：O175.25[理学—数学]