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

doi:10.1088/1674-1056/23/2/020203

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.

Keywords: (G’/G)-expansion method Boussinesq equation solitary wave solutions auxiliary nonlinear ordinary differential equation

Received: 26 April 2013
Revised: 28 June 2013
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Ik	(Integrable systems)
	04.20.Jb	(Exact solutions)
	05.45.Yv	(Solitons)

Corresponding Authors: Syed Tauseef Mohyud-Din
E-mail: syedtauseefs@hotmail.com

About author: 02.30.Jr; 02.30.Ik; 04.20.Jb; 05.45.Yv

Cite this article:

Md. Nur Alam, Md. Ali Akbar, Syed Tauseef Mohyud-Din A novel (G’/G)-expansion method and its application to the Boussinesq equation 2014 Chin. Phys. B 23 020203

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

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