中文摘要：

对广义非线性Schrodinger方程的多辛方程组,在空间方向用拟谱方法,时间方向用辛欧拉方法进行离散,得到该方程的一个半显式多辛拟谱格式.数值实验结果表明,所构造的格式具有长时间的数值行为,且能很好地保持原方程的电荷与能量守恒律.

英文摘要：

Using pseudo-spectral method in spatial direction and symplectic Euler method in time direction to discrete the multi-symplectic systems of the generalized nonlinear Schrodinger equation,a simi-explicit multi-symplectic pseudo-spectral scheme is obtained.Numerical experiments show that the scheme constructed in this article has excellent long-time numerical behavior,and can preserve the charge and energy conservation law of the original equation well.