Abstract: The algebraic method,based on the symbolic computation,has been applied to study new traveling wave solutions for Kaup-Kupershmidt equation by means of Epsilon package in Maple.More new explicit travelling wave solutions are obtained,which contain  periodic solutions of Jacobi elliptic function,hyperbola function and triangular periodic solutions.

Key words: Kaup-Kupershmidt equation, F-expansion method, solitary wave solutions