Symplectic methods for the nonlinear Schrodinger equation

被引：74

作者：

Tang, YF

Vazquez, L

Zhang, F

PerezGarcia, VM

机构：

[1] NATL UNIV SINGAPORE, FAC SCI, COMPUTAT SCI PROGRAM, SINGAPORE 119260, SINGAPORE

[2] UNIV CASTILLA LA MANCHA, ESCUELA TECN SUPER INGENIEROS IND, DEPT MATEMAT, CIUDAD REAL 13071, SPAIN

[3] CHINESE ACAD SCI, INST COMPUTAT MATH & SCI ENGN COMP, BEIJING 100080, PEOPLES R CHINA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1996年 / 32卷 / 05期

关键词：

symplectic methods; nonlinear Schrodinger equation; invariants; formal energy;

D O I：

10.1016/0898-1221(96)00136-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that the spatial discretization of the nonlinear Schrodinger equation leads to a Hamiltonian system, which can be simulated with symplectic numerical schemes. In particular, we apply two symplectic integrators to the nonlinear Schrodinger equation, and we demonstrate that they are able to produce accurate results and to preserve very well the invariants of the original system, such as the energy and charge.

引用

页码：73 / 83

页数：11

共 28 条

[1] SYMPLECTIC INTEGRATION OF HAMILTONIAN-SYSTEMS [J].