Popular Ansatz Methods and Solitary Wave Solutions of the Kuramoto–Sivashinsky Equation

    2009, Volume 14, Number 3, pp.  407-419

    Author(s): Kudryashov N. A., Soukharev  M. B.

    Some methods to look for exact solutions of nonlinear differential equations are discussed. It is shown that many popular methods are equivalent to each other. Several recent publications with "new" solitary wave solutions for the Kuramoto–Sivashinsky equation are analyzed. We demonstrate that all these solutions coincide with the known ones.
    Keywords: Kuramoto–Sivashinsky equation, $(G'/G)$-method, Tanh-method, Exp-function method
    Citation: Kudryashov N. A., Soukharev  M. B., Popular Ansatz Methods and Solitary Wave Solutions of the Kuramoto–Sivashinsky Equation, Regular and Chaotic Dynamics, 2009, Volume 14, Number 3, pp. 407-419
    DOI: 10.1134/S1560354709030046



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