2005Unpublished venueRequires access

Periodic wave solutions and solitary wave solutions to (2+1)-dimensional KdV equation

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Abstract

The F-expansion method proposed recently is extended and,by using it, the periodic wave solutions expressed by Jacobi elliptic functions to the (2+1)-dimensional KdV equation are obtained. In the limit cases, the solitary wave solutions and trigonometric function solutions are obtained as well. The F-expansion as an overall generalization of Jacobi elliptic function expansion can be applied to solve other nonlinear evolution equations.

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What this paper is about

The F-expansion method proposed recently is extended and,by using it, the periodic wave solutions expressed by Jacobi elliptic functions to the (2+1)-dimensional KdV equation are obtained. In the limit cases, the solitary wave solutions and trigonometric function solutions are obtained as well. The F-expansion as an overall generalization of Jacobi elliptic function expansion can be applied to solve other nonlinear evolution equations.

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Available abstract

The F-expansion method proposed recently is extended and,by using it, the periodic wave solutions expressed by Jacobi elliptic functions to the (2+1)-dimensional KdV equation are obtained. In the limit cases, the solitary wave solutions and trigonometric function solutions are obtained as well. The F-expansion as an overall generalization of Jacobi elliptic function expansion can be applied to solve other nonlinear evolution equations.

Key concepts: Korteweg–de Vries equation, Periodic wave, Elliptic function, Mathematical analysis, Mathematics, Trigonometric functions, Limit (mathematics), Cnoidal wave

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