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Method of Conservation Laws for Solving Nonlinear Schrödinger Equation

✍ Scribed by Watanabe, Shinsuke; Miyakawa, Makoto; Yajima, Nobuo


Book ID
125885924
Publisher
Institute of Pure and Applied Physics
Year
1979
Tongue
English
Weight
729 KB
Volume
46
Category
Article
ISSN
0031-9015

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Symplectic methods for the nonlinear Sch
✍ 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