A note on multisymplectic Fourier pseudospectral discretization for the nonlinear Schrodinger equation

作者：Wang, Jian^*

来源：Applied Mathematics and Computation, 2007, 191(1): 31-41.

DOI：10.1016/j.amc.2006.09.066

• Schrodinger equations
• multisymplectic structure
• conservation laws
• multisymplectic scheme

Based on the multisymplectic Fourier pseudospectral scheme for the nonlinear Schrodinger (NLS) equation, we investigate some discrete properties corresponding to local conservation laws of the original equation. The discrete normal conservation law is proved, and the error estimation of local and global energy conservation laws are also obtained. Numerical experiments for cubic NLS equation are provided to demonstrate the consistency between the theoretical analysis and the numerical results.

• 出版日期2007-8-1
• 单位上海交通大学; 上海大学