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Solving Variant Boussinesq equations by using F-expansion method

Yan Qian-shan

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Abstract

The doubly periodic wave solutions expressed by Jacobi elliptic functions for Variant Boussinesq equations are derived by using the F-expansion method.Furthurmore,in the limit cases,the solitary wave solutions and single periodic wave solutions for Variant Boussinesq equations are obtained.

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The doubly periodic wave solutions expressed by Jacobi elliptic functions for Variant Boussinesq equations are derived by using the F-expansion method.Furthurmore,in the limit cases,the solitary wave solutions and single periodic wave solutions for Variant Boussinesq equations are obtained.

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Available abstract

The doubly periodic wave solutions expressed by Jacobi elliptic functions for Variant Boussinesq equations are derived by using the F-expansion method.Furthurmore,in the limit cases,the solitary wave solutions and single periodic wave solutions for Variant Boussinesq equations are obtained.

Key concepts: Periodic wave, Boussinesq approximation (buoyancy), Limit (mathematics), Mathematics, Elliptic function, Mathematical analysis, Jacobi elliptic functions, Traveling wave

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