2006•Journal of Sichuan Normal UniversityRequires access

New Periodic Wave Solutions for Some Fifth-order Nonlinear Equations

Hanlin Chen

Abstract

By constructing auxiliary differential equations,solving some fifth-order nonlinear evolution equations is changed into solving nonlinear algebraic equations.New periodic wave solutions expressed by Jacobi elliptic functions to the fifth-order nonlinear equations are obtained.In the limit case,solitary wave solutions and trigonometric function solutions are obtained.

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Key concepts: Nonlinear system, Trigonometric functions, Mathematics, Elliptic function, Mathematical analysis, Trigonometry, Algebraic equation, Limit (mathematics)