0
2013
Impact Factor

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

Back to the list