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Chin. Phys. B, 2014, Vol. 23(2): 020203    DOI: 10.1088/1674-1056/23/2/020203
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A novel (G’/G)-expansion method and its application to the Boussinesq equation

Md. Nur Alama, Md. Ali Akbarb, Syed Tauseef Mohyud-Dinc
a Department of Mathematics, Pabna University of Science and Technology, Bangladesh;
b Department of Applied Mathematics, University of Rajshahi, Bangladesh;
c Department of Mathematics, HITEC University, Taxila Cantt, Pakistan
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      Published:  12 December 2013
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:
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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