New numerical methods for the coupled nonlinear Schrödinger equations
✍ Scribed by Qiu-bin Xu; Qian-shun Chang
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2010
- Tongue
- English
- Weight
- 475 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0168-9673
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A new integral equation method for the numerical solution of the radial Schrödinger equation in one dimension, developed by the authors (1997, J. Comput. Phys. 134, 134), is extended to systems of coupled Schrödinger equations with both positive and negative channel energies. The method, carried out
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