非线性薛定谔方程的新多级包络周期解

New multi-order envelope periodic solutions to the nonlinear Schrodinger equation

基于Lame方程和新的Lame函数,应用摄动方法和Jacobi椭圆函数展开法求解非线性薛定谔方程,获得多种新的多级准确解.这些解对应着不同的形式的包络周期解.这些解在极限条件下可以退化为各种形式的包络孤波解.

Based on the Lamé equation and Lamé functions, the perturbation method and Jacobi elliptic function expansion method are applied to get the multi-order exact solutions of the nonlinear Schr？dinger equation, where some new multi-order envelope periodic solutions are 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.