Applied Mathematics

Volume 3, Issue 10 (October 2012)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

The Basic (G'/G)-Expansion Method for the Fourth Order Boussinesq Equation

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DOI: 10.4236/am.2012.310168    57,295 Downloads   143,504 Views  Citations

ABSTRACT

The (G'/G)-expansion method is simple and powerful mathematical tool for constructing traveling wave solutions of nonlinear evolution equations which arise in engineering sciences, mathematical physics and real time application fields. In this article, we have obtained exact traveling wave solutions of the nonlinear partial differential equation, namely, the fourth order Boussinesq equation involving parameters via the (G'/G)-expansion method. In this method, the general solution of the second order linear ordinary differential equation with constant coefficients is implemented. Further, the solitons and periodic solutions are described through three different families. In addition, some of obtained solutions are described in the figures with the aid of commercial software Maple.

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Naher, H. and Abdullah, F. (2012) The Basic (G'/G)-Expansion Method for the Fourth Order Boussinesq Equation. Applied Mathematics, 3, 1144-1152. doi: 10.4236/am.2012.310168.

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