Multi-Symplectic Splitting Method for Two-Dimensional Nonlinear Schrödinger Equation
✍ Scribed by Chen, Ya-Ming; Zhu, Hua-Jun; Song, Song-He
- Book ID
- 120389054
- Publisher
- IOP Publishing
- Year
- 2011
- Tongue
- English
- Weight
- 473 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0253-6102
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📜 SIMILAR VOLUMES
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.
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