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Exact solutions of Kolmogorov-Petrovskii-Piskunov equation using the modified simple equation method

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Abstract

The modified simple equation method is employed to find the exact solutions of the nonlinear Kolmogorov-Petrovskii-Piskunov (KPP) equation. When certain parameters of the equations are chosen to be special values, the solitary wave solutions are derived from the exact solutions. It is shown that the modified simple equation method provides an effective and powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

    E. M. E. Zayed & S. A. Hoda Ibrahim

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  1. E. M. E. Zayed
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  2. S. A. Hoda Ibrahim
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Correspondence to E. M. E. Zayed.

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Zayed, E.M.E., Hoda Ibrahim, S.A. Exact solutions of Kolmogorov-Petrovskii-Piskunov equation using the modified simple equation method. Acta Math. Appl. Sin. Engl. Ser. 30, 749–754 (2014). https://doi.org/10.1007/s10255-014-0416-6

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  • DOI: https://doi.org/10.1007/s10255-014-0416-6

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