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The Traveling Solutions for Nonlinear Boussinesq Equation

Hua Cun-cai

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Abstract

An expanded Jacobi elliptic function expansion method is proposed to construct the new traveling solutions for nonlinear Boussinesq equation.And the solutions obtained by this method include solitary solutions,periodic solutions and Jacobi elliptic function soluutions.In the limit case, the corresponding solitary wave solutions and the triangle function solutions were derived,thereby replenishing and perfecting the previous literature findings.

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What this paper is about

An expanded Jacobi elliptic function expansion method is proposed to construct the new traveling solutions for nonlinear Boussinesq equation.And the solutions obtained by this method include solitary solutions,periodic solutions and Jacobi elliptic function soluutions.In the limit case, the corresponding solitary wave solutions and the triangle function solutions were derived,thereby replenishing and perfecting the previous literature findings.

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Available abstract

An expanded Jacobi elliptic function expansion method is proposed to construct the new traveling solutions for nonlinear Boussinesq equation.And the solutions obtained by this method include solitary solutions,periodic solutions and Jacobi elliptic function soluutions.In the limit case, the corresponding solitary wave solutions and the triangle function solutions were derived,thereby replenishing and perfecting the previous literature findings.

Key concepts: Elliptic function, Traveling wave, Mathematical analysis, Mathematics, Nonlinear system, Jacobi elliptic functions, Limit (mathematics), Function (biology)

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