New periodic solutions to a kind of nonlinear wave equations
一类非线性方程的新周期解

In this paper the Jacobi elliptic function expansion method is extended to the finite expansion for the applied Jacobi cosine elliptic function or the third kind of Jacobi elliptic function to construct the new periodic solutions of nonlinear wave equations. The periodic solutions obtained by this method can be reduced to the solitary wave solutions under the limit condition.