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2013
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# Michael Soukharev

Kashirskoe sh. 31, Moscow 115409, Russia
Department of Applied Mathematics, Moscow Engineering and Physics Institute

## Publications:

 Kudryashov N. A., Soukharev  M. B. Popular Ansatz Methods and Solitary Wave Solutions of the Kuramoto–Sivashinsky Equation 2009, vol. 14, no. 3, pp.  407-419 Abstract 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, vol. 14, no. 3, pp. 407-419 DOI:10.1134/S1560354709030046