𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Note on the Symplectic Integration of the Nonlinear Schrödinger Equation

✍ Scribed by Clemens Heitzinger; Christian Ringhofer

Book ID
111588961
Publisher
Springer
Year
2004
Tongue
English
Weight
984 KB
Volume
3
Category
Article
ISSN
1569-8025

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Symplectic methods for the nonlinear Sch
Symplectic methods for the nonlinear Schrödinger equation
✍ Y.-F. Tang; L. Vázquez; F. Zhang; V.M. Pérez-García 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 528 KB

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

Symplectic and multi-symplectic methods
Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation
✍ Jing-Bo Chen; Meng-Zhao Qin; Yi-Fa Tang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 725 KB

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.