Please use this identifier to cite or link to this item: https://doi.org/10.1016/0898-1221(96)00136-8
Title: Symplectic methods for the nonlinear Schrödinger equation
Authors: Tang, Y.-F.
Vázquez, L.
Zhang, F. 
Pérez-García, V.M.
Keywords: Formal energy
Invariants
Nonlinear Schrödinger equation
Symplectic methods
Issue Date: Sep-1996
Citation: Tang, Y.-F., Vázquez, L., Zhang, F., Pérez-García, V.M. (1996-09). Symplectic methods for the nonlinear Schrödinger equation. Computers and Mathematics with Applications 32 (5) : 73-83. ScholarBank@NUS Repository. https://doi.org/10.1016/0898-1221(96)00136-8
Abstract: In this paper, we show that the spatial discretization of the nonlinear Schrödinger equation leads to a Hamiltonian system, which can be simulated with symplectic numerical schemes. In particular, we apply two symplectic integrators to the nonlinear Schrödinger 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.
Source Title: Computers and Mathematics with Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/104869
ISSN: 08981221
DOI: 10.1016/0898-1221(96)00136-8
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