New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations

New Jacobi elliptic functions are applied in Jacobi elliptic function expansion method to construct the exact periodic solutions of nonlinear wave equations. It is shown that more new periodic solutions can be obtained by this method and more shock wave solutions or solitary wave solutions can be got at their limit condition. (C) 2001 Elsevier Science B.V All rights reserved.