Based on the Lam· equation and Lam· functions

the perturbation method and Jacobi elliptic function expansion method were applied to construct the multi-order exact solutions to the nonlinear Schrdinger equation.Some new multi-order envelope periodic solutions were found among the nonlinear evolution equation.These multi-order envelope periodic solutions correspond to different periodic solutions

which can degenerate into the different envelope solitary solutions.It is shown that some multi-order asymptotic periodic solutions to some nonlinear evolution equations in term of Jacobi elliptic functions and Lam· equations are explicitly obtained with the aid of symbolic computation.