Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation |
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| Authors: | N A Kudryashov M B Soukharev |
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| Institution: | (1) Department of Applied Mathematics, Moscow Engineering and Physics Institute, Kashirskoe sh. 31, Moscow, 115409, Russia |
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| 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.
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| Keywords: | Kuramoto-Sivashinsky equation (G′ /G)-method Tanh-method Exp-function method |
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