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2004•Journal of Qinghai Junior Teachers' CollegeRequires access

Jacobi Elliptic Function Expansion Method To KdV Equations

Guo Guan-ping

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Abstract

In this paper, the Jacobi elliptic function method is extended to the finite eapansion for the apploed Jacobi sine elliptic function, Jacobi cosine elliptic function or the third kind of Jacobi elliptic function to construct the new periodic solutions of KdV equation .The periodic solutions obtained by this method can be reduced to the solitary wave solutions under the linit coneition.

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What this paper is about

In this paper, the Jacobi elliptic function method is extended to the finite eapansion for the apploed Jacobi sine elliptic function, Jacobi cosine elliptic function or the third kind of Jacobi elliptic function to construct the new periodic solutions of KdV equation .The periodic solutions obtained by this method can be reduced to the solitary wave solutions under the linit coneition.

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Available abstract

In this paper, the Jacobi elliptic function method is extended to the finite eapansion for the apploed Jacobi sine elliptic function, Jacobi cosine elliptic function or the third kind of Jacobi elliptic function to construct the new periodic solutions of KdV equation .The periodic solutions obtained by this method can be reduced to the solitary wave solutions under the linit coneition.

Key concepts: Jacobi elliptic functions, Elliptic function, Elliptic integral, Trigonometric functions, Korteweg–de Vries equation, Jacobi method, Mathematics, Quarter period

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