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A. A. Soliman and H. A. Abdo, “New Exact Solutions of Nonlinear Variants of the RLW, the PHI-Four and Boussinesq Equations Based on Modified Extended Direct Algebraic Method,” International Journal of Nonlinear Science, Vol. 7, No. 3, 2009, pp. 274-282.

has been cited by the following article:

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

  AUTHORS: Hasibun Naher, Farah Aini Abdullah

  KEYWORDS: The (G'/G)-Expansion Method; the Fourth Order Boussinesq Equation; Traveling Wave Solutions; Nonlinear Partial Differntial Equations

  JOURNAL NAME: Applied Mathematics, Vol.3 No.10, October 11, 2012

  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.