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2004•Journal of Luoyang Institute of TechnologyRequires access

Periodic Wave Solutions and Solitary Wave Solutions to BBM Equation

Li Bao

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Abstract

A number of doubly periodic wave solutions expressed by Jacobi elliptic functions to the BBM equation and the (2+1) dimensional BBM equation are obtained by using the homogeneous balance principle and F-expansion method,which can be thought of as an over-all generalization of Jacobi elliptic function expansion method proposed recently. In the limit cases,the solitary wave solutions and other types of single periodic wave solutions to the system are obtained as well.The method used here can be applied to solve other nonlinear evolution equations.

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What this paper is about

A number of doubly periodic wave solutions expressed by Jacobi elliptic functions to the BBM equation and the (2+1) dimensional BBM equation are obtained by using the homogeneous balance principle and F-expansion method,which can be thought of as an over-all generalization of Jacobi elliptic function expansion method proposed recently. In the limit cases,the solitary wave solutions and other types of single periodic wave solutions to the system are obtained as well.The method used here can be applied to solve other nonlinear evolution equations.

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Available abstract

A number of doubly periodic wave solutions expressed by Jacobi elliptic functions to the BBM equation and the (2+1) dimensional BBM equation are obtained by using the homogeneous balance principle and F-expansion method,which can be thought of as an over-all generalization of Jacobi elliptic function expansion method proposed recently. In the limit cases,the solitary wave solutions and other types of single periodic wave solutions to the system are obtained as well.The method used here can be applied to solve other nonlinear evolution equations.

Key concepts: Elliptic function, Periodic wave, Cnoidal wave, Mathematical analysis, Mathematics, Sinusoidal plane-wave solutions of the electromagnetic wave equation, Jacobi elliptic functions, Generalization

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