2010Journal of Shanxi Datong UniversityRequires access

Exact Solutions to Third-order KdV General Form Equation

Hao Yan-Hua

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Abstract

The F-expansion method is extended on solving nonlinear mathematical physics equations,and exact solutions of KdV equation expressed elliptic functions are obtained by using the homogeneous balance principle.In the limit cases,the equation of the trigonometric functions are expressed in periodic wave solutions.

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What this paper is about

The F-expansion method is extended on solving nonlinear mathematical physics equations,and exact solutions of KdV equation expressed elliptic functions are obtained by using the homogeneous balance principle.In the limit cases,the equation of the trigonometric functions are expressed in periodic wave solutions.

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Available abstract

The F-expansion method is extended on solving nonlinear mathematical physics equations,and exact solutions of KdV equation expressed elliptic functions are obtained by using the homogeneous balance principle.In the limit cases,the equation of the trigonometric functions are expressed in periodic wave solutions.

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

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