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Expanding the Tanh-Function Method for Solving Nonlinear Equations

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DOI: 10.4236/am.2011.29151    6,026 Downloads   11,773 Views   Citations


In this paper, using the tanh-function method, we introduce a new approach to solitary wave solutions for solving nonlinear PDEs. The proposed method is based on adding integration constants to the resulting nonlinear ODEs from the nonlinear PDEs using the wave transformation. Also, we use a transformation related to those integration constants. Some examples are considered to find their exact solutions such as KdV- Burgers class and Fisher, Boussinesq and Klein-Gordon equations. Moreover, we discuss the geometric interpretations of the resulting exact solutions.

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The authors declare no conflicts of interest.

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N. Abdel-All, M. Abdel-Razek and A. Seddeek, "Expanding the Tanh-Function Method for Solving Nonlinear Equations," Applied Mathematics, Vol. 2 No. 9, 2011, pp. 1096-1104. doi: 10.4236/am.2011.29151.


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