A multisymplectic variational integrator for the nonlinear Schrodinger equation

被引：16
作者：
Chen, JB
Qin, MZ
机构：
[1] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
[2] Acad Mil Med Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2002年 / 18卷 / 04期
关键词：
nonlinear Schrodinger equation; multisymplectic structure; variational integrator; multisymplectic integrator;
D O I：
10.1002/num.10021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The multisymplectic structure for the nonlinear Schrodinger equation is presented. Based on the multisymplectic structure, we derive a nine-point variational integrator from the discrete variational principle and a six-point multisymplectic integrator from the Preissman multisymplectic scheme. We,show that the two integrators are essentially equivalent. Therefore, we call it a multisymplectic variational integrator. (C) 2002 Wiley Periodicals, Inc.
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页码：523 / 536
页数：14
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