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Application of G′/G-expansion method to Kuramoto-Sivashinsky equation

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Abstract

This paper obtains the solutions of the Kuramoto-Sivashinsky equation. The G′/G method is used to carry out the integration of this equation. Subsequently, its special case, will be integrated and topological 1-soliton solution will be obtained by the soliton ansatz method. The restrictions on the parameters and exponents are also identified.

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Authors and Affiliations

  1. Faculty of Mathematical Sciences, University of Tabriz, Tabriz, 51666-147666, Iran

    Ghodrat Ebadi

  2. Department of Mathematical Sciences, Delaware State University, Dover, DE, 19901-2277, USA

    Anjan Biswas

  3. Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Anjan Biswas

Authors
  1. Ghodrat Ebadi
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  2. Anjan Biswas
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Correspondence to Anjan Biswas.

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Ebadi, G., Biswas, A. Application of G′/G-expansion method to Kuramoto-Sivashinsky equation. Acta Math. Appl. Sin. Engl. Ser. 32, 623–630 (2016). https://doi.org/10.1007/s10255-016-0589-2

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  • DOI: https://doi.org/10.1007/s10255-016-0589-2

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