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A novel (G'/G)-expansion method and its application to the Boussinesq equation 被引量:14

A novel (G'/G)-expansion method and its application to the Boussinesq equation
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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.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第2期34-43,共10页 中国物理B(英文版)
关键词 (G'/G)-expansion method Boussinesq equation solitary wave solutions auxiliary nonlinear ordinary differential equation (G'/G)-expansion method, Boussinesq equation, solitary wave solutions, auxiliary nonlinear ordinary differential equation
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