SYMPLECTIC METHODS FOR THE NONLINEAR SCHRODINGER-EQUATION

Authors
TANG YF VAZQUEZ L ZHANG F PEREZGARCIA VM
Citation
Yf. Tang et al., SYMPLECTIC METHODS FOR THE NONLINEAR SCHRODINGER-EQUATION, Computers & mathematics with applications, 32(5), 1996, pp. 73-83
Citations number
28
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
32
Issue
5
Year of publication
1996
Pages
73 - 83
Database
ISI
SICI code
0898-1221(1996)32:5<73:SMFTNS>2.0.ZU;2-J
Abstract
In this paper, we show that the spatial discretization of the nonlinea r Schrodinger equation leads to a Hamiltonian system, which can be sim ulated with symplectic numerical schemes. In particular, we apply two symplectic integrators to the nonlinear Schrodinger equation, and we d emonstrate that they are able to produce accurate results and to prese rve very well the invariants of the original system, such as the energ y and charge.