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Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation

✍ Scribed by Jing-Bo Chen; Meng-Zhao Qin; Yi-Fa Tang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
725 KB
Volume
43
Category
Article
ISSN
0898-1221

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✦ Synopsis

The Hamiltonian and the multi-symplectic formulations of the nonlinear SchrGdinger equation are considered. For the multi-symplectic formulation, a new six-point difference scheme which is equivalent to the multi-symplectic Preissman integrator is derived. Numerical experiments are also reported.

📜 SIMILAR VOLUMES

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In this paper, we show that the spatial discretization of the nonlinear SchrSdinger equation leads to a Hamiltonian system, which can be simulated with symplectic numerical schemes. In particular, we apply two symplectic integrators to the nonlinear SchrSdinger equation, and we demonstrate that the

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