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JOURNALS // Regular and Chaotic Dynamics // Archive
Regul. Chaotic Dyn., 2008 Volume 13, Issue 3, Pages 234–238 (Mi rcd573)
This article is cited in 54 papers

Solitary and Periodic Solutions of the Generalized Kuramoto–Sivashinsky Equation

N. A. Kudryashov

Department of Applied Mathematics, Moscow Engineering and Physics Institute (State University), Kashirskoe Shosse 31, Moscow, 115409 Russia

Abstract: The generalized Kuramoto–Sivashinsky equation in the case of the power nonlinearity with arbitrary degree is considered. New exact solutions of this equation are presented.

Keywords: exact solution, nonlinear differential equation, Kuramoto–Sivashinsky equation.

MSC: 34E05, 58K55

Received: 30.04.2008
Accepted: 08.05.2008

Language: English

DOI: 10.1134/S1560354708030088



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