Symplectic integrators for the Ablowitz–Ladik discrete nonlinear Schrödinger equation
✍ Scribed by C.M. Schober
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 354 KB
- Volume
- 259
- Category
- Article
- ISSN
- 0375-9601
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📜 SIMILAR VOLUMES
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
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.
Recently an interesting new class of PDE integrators, multisymplectic schemes, has been introduced for solving systems possessing a certain multisymplectic structure. Some of the characteristic features of the method are its local nature (independent of boundary conditions) and an equal treatment of