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Solitary wave and periodic wave solutions for Burgers, Fisher, Huxley and combined forms of these equations by the (G ′ /G)-expansion method

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Abstract

An application of the (G ′/G)-expansion method to search for exact solutions of nonlinear partial differential equations is analysed. This method is used for Burgers, Fisher, Huxley equations and combined forms of these equations. The (G ′/G)-expansion method was used to construct periodic wave and solitary wave solutions of nonlinear evolution equations. This method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that the (G ′/G)-expansion method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear partial differential equations.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Mathematics Science, University of Tabriz, Tabriz, Iran

    JALIL MANAFIAN & MEHRDAD LAKESTANI

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  1. JALIL MANAFIAN
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  2. MEHRDAD LAKESTANI
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Correspondence to JALIL MANAFIAN.

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MANAFIAN, J., LAKESTANI, M. Solitary wave and periodic wave solutions for Burgers, Fisher, Huxley and combined forms of these equations by the (G ′ /G)-expansion method. Pramana - J Phys 85, 31–52 (2015). https://doi.org/10.1007/s12043-014-0887-2

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  • DOI: https://doi.org/10.1007/s12043-014-0887-2

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