中文摘要：

1引言 本文讨论下面非线性Schroedinger方程（NLS）方程的初边值问题： i（偏du）/（偏dt）＋（偏d^2u）/（偏dx^2）＋2｜u^2｜u=0,（1）

英文摘要：

In this paper, we present a new high accurate and conservative numerical scheme for nonlinear Schroedinger type equations.The scheme conserves the energy and charge of systems,and its convergence and stability are proved.By means of numerical computing,we get the conclusion that the new difference scheme is much better than the other schemes.