2011•Applied MathematicsOpen access

On Exact Traveling Wave Solutions for (1 + 1) Dimensional Kaup-Kupershmidt Equation

Dahe Feng, Kezan Li

Abstract

In this present paper, the Fan sub-equation method is used to construct exact traveling wave solutions of the (1 + 1) dimensional Kaup-Kupershmidt equation. Many exact traveling wave solutions are successfully obtained, which contain solitary wave solutions, trigonometric function solutions, hyperbolic function solutions and Jacobian elliptic function periodic solutions with double periods.

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Key concepts: Traveling wave, Elliptic function, Hyperbolic function, Trigonometric functions, Mathematical analysis, Jacobian matrix and determinant, Mathematics, Periodic wave