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Chin. Phys. B, 2013, Vol. 22(6): 060204    DOI: 10.1088/1674-1056/22/6/060204
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Singular solitons and other solutions to a couple of nonlinear wave equations

Mustafa Inca, Esma Ulutaşb, Anjan Biswasc
a Firat University, Department of Mathematics, 23119 Elazğ, Türkiye;
b Bitlis Eren University, Deparment of Statistic, Bitlis, Türkiye;
c Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
Abstract  This paper addresses the extended (G'/G)-expansion method and applies it to a couple of nonlinear wave equations. These equations are modified Benjamin-Bona-Mahoney equation and the Boussinesq equation. This extended method reveals several solutions to these equations. Additionally, the singular soliton solutions are revealed, for these two equations, by the aid of ansatz method.
Keywords:  (G'/G)-expansion method      travelling wave solutions      singular soliton      mBBM and Boussinesq equations  
Received:  01 November 2012      Revised:  30 November 2012      Accepted manuscript online: 
PACS:  02.30.Jr (Partial differential equations)  
  02.60.Cb (Numerical simulation; solution of equations)  
Corresponding Authors:  Mustafa Inc     E-mail:  minc@firat.edu.tr

Cite this article: 

Mustafa Inc, Esma Ulutaş, Anjan Biswas Singular solitons and other solutions to a couple of nonlinear wave equations 2013 Chin. Phys. B 22 060204

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