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A generalized Kudryashov method to some nonlinear evolution equations in mathematical physics

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Abstract

Nonlinear evolution equations form the most fundamental theme in mathematical physics. The search for exact solutions of nonlinear equations has been of interest in recent years. In this paper, we obtain exact solutions of the nonlinear Jaulent–Miodek hierarchy and (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff equation by using the generalized Kudryashov method. All calculations in this study have been made and checked back with the aid of the Maple packet program.

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Authors and Affiliations

  1. Mathematics-Computer Department, Art-Science Faculty, Eskişehir Osmangazi University, Eskisehir, Turkey

    Melike Kaplan, Ahmet Bekir & Arzu Akbulut

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  1. Melike Kaplan
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  2. Ahmet Bekir
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  3. Arzu Akbulut
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Correspondence to Ahmet Bekir.

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Kaplan, M., Bekir, A. & Akbulut, A. A generalized Kudryashov method to some nonlinear evolution equations in mathematical physics. Nonlinear Dyn 85, 2843–2850 (2016). https://doi.org/10.1007/s11071-016-2867-1

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  • DOI: https://doi.org/10.1007/s11071-016-2867-1

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