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Symplectic integrators for discrete nonlinear Schrödinger systems

✍ Scribed by D.A. Karpeev; C.M. Schober

Book ID
108453307
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
249 KB
Volume
56
Category
Article
ISSN
0378-4754

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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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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.