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

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Published 20 December 2013 2014 Chinese Physical Society and IOP Publishing Ltd
, , Citation Alam Md. Nur et al 2014 Chinese Phys. B 23 020203 DOI 10.1088/1674-1056/23/2/020203

1674-1056/23/2/020203

Abstract

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.

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10.1088/1674-1056/23/2/020203