A novel (G'/G)-expansion method and its application to the Boussinesq equation  

作　　者：Md.Nur Alam Md.Ali Akbar Syed Tauseef Mohyud-Din 

机构地区：[1]Department of Mathematics,Pabna University of Science and Technology [2]Department of Applied Mathematics,University of Rajshahi [3]Department of Mathematics,HITEC University,Taxila Cantt

出　　处：《Chinese Physics B》2014年第2期34-43,共10页中国物理B（英文版）

摘　　要：In this article, a novel （G＇/G）-expansion method is proposed to search for the traveling wave solutions of nonlinear evolution equations. We construct abundant traveling wave solutions involving parameters to the Boussinesq equation by means of the suggested method. The performance of the method is reliable and useful, and gives more general exact solutions than the existing methods. The new （G＇/G）-expansion method provides not only more general forms of solutions but also cuspon, peakon, soliton, and periodic waves.In this article, a novel （G＇/G）-expansion method is proposed to search for the traveling wave solutions of nonlinear evolution equations. We construct abundant traveling wave solutions involving parameters to the Boussinesq equation by means of the suggested method. The performance of the method is reliable and useful, and gives more general exact solutions than the existing methods. The new （G＇/G）-expansion method provides not only more general forms of solutions but also cuspon, peakon, soliton, and periodic waves.

关 键 词：（G＇/G）-expansion method Boussinesq equation solitary wave solutions auxiliary nonlinear ordinary differential equation 

分 类 号：O411.1[理学—理论物理] P731.22[理学—物理]