4.7 Article

Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method

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ELSEVIER
DOI: 10.1016/j.cnsns.2012.08.034

Keywords

Extended Jacobian elliptic function expansion method; Nonlinear partial differential equations; Nonlinear physical phenomena; The generalized-Zakharov equations and coupled Davey-Stewartson equation

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This paper studies two nonlinear coupled evolution equations. They are the Zakharov equation and the Davey-Stewartson equation. These equations are studied by the aid of Jacobi's elliptic function expansion method and exact periodic solutions are extracted. In addition, the Zakharov equation with power law nonlinearity is solved by traveling wave hypothesis. (C) 2012 Elsevier B.V. All rights reserved.

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