Multi-Symplectic Splitting Method for Two-Dimensional Nonlinear Schrodinger Equation

作者：Chen Ya Ming^*; Zhu Hua Jun; Song Song He

来源：Communications in Theoretical Physics, 2011, 56(4): 617-622.

DOI：10.1088/02536102/56/4/03

• splitting method
• multi-symplectic scheme
• two-dimensional nonlinear Schrodinger equation

Using the idea of splitting numerical methods and the multi-symplectic methods, we propose a multi-symplectic splitting (MSS) method to solve the two-dimensional nonlinear Schrodinger equation (2D-NLSE) in this paper. It is further shown that the method constructed in this way preserve the global symplecticity exactly. Numerical experiments for the plane wave solution and singular solution of the 2D-NLSE show the accuracy and effectiveness of the proposed method.

• 出版日期2011-10
• 单位中国人民解放军国防科学技术大学