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摘要
We propose a new multi-symplectic integration method for the nonlinear Schrodinger equation. The new scheme is derived by concatenating spatial discretization of the multi-symplectic Fourier pseudospectral method with temporal discretization of a symplectic Euler scheme and it is semi-explicit in the sense that it does not need to solve the nonlinear algebraic equations at every time step. We verify that the multi-symplectic semi-discretization of the Schrodinger equation with periodic boundary conditions has.. semi-discrete multi-symplectic conservation laws. The discretization in time of the semi-discretization leads to.. full-discrete multi-symplectic conservation laws. Numerical results are presented to demonstrate the robustness and the stability.
- 出版日期2013-3
- 单位中国科学院大气物理研究所; 南京师范大学; 南京林业大学
