Application of the G/G-expansion method for nonlinear diffusion equations with nonlinear source |
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| Authors: | Ghodrat Ebadi Anjan Biswas |
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| Institution: | a Faculty of Mathematical Sciences, University of Tabriz, Tabriz 51666-14766, Iran
b Applied Mathematics Research Center, Center for Research and Education in Optical Sciences and Applications, Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA |
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| Abstract: | The generalized diffusion equations, with nonlinear source terms which encompasses the Fisher, Newell-Whitehead, FitzHugh-Nagumo and Allen-Cahn equations as particular forms are solved by the G′/G-expansion method. The exact solutions are in terms of hyperbolic, trigonometric and rational functions with external parameters. This paper concludes with the stationary topological soliton solution of the FitzHugh-Nagumo equation that is obtained by the Ansatz method. |
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