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

Using the idea of splitting numerical methods and the multi-symplectic methods, we propose a multisymplectic 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 sym...

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Published in理论物理通讯：英文版 Vol. 56; no. 10; pp. 617 - 622
Main Author 陈亚铭 朱华君 宋松和
Format Journal Article
LanguageEnglish
Published 2011
Subjects
NLSE
二维
分裂法
平面波解
数值实验
数值方法
辛方法
非线性薛定谔方程
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ISSN0253-6102

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Summary:Using the idea of splitting numerical methods and the multi-symplectic methods, we propose a multisymplectic 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 symplectieity exactly. Numerical experiments for the plane wave solution and singular solution of the 2D-NLSE show the accuracy and effectiveness of the proposed method.
Bibliography:splitting method, multi-symplectic scheme, two-dimensional nonlinear SchrSdinger equation
Using the idea of splitting numerical methods and the multi-symplectic methods, we propose a multisymplectic 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 symplectieity exactly. Numerical experiments for the plane wave solution and singular solution of the 2D-NLSE show the accuracy and effectiveness of the proposed method.
11-2592/O3
CHEN Ya-Ming , ZHU Hua-Jun , and SONG Song-He （ Department of Mathematics and System Science, Science School, National University of Defense Technology, Changsha 410073, China）
ISSN:0253-6102