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Variational method for the derivative nonlinear Schrödinger equation with computational applications

✍ Scribed by Helal, M A; Seadawy, A R


Book ID
120070414
Publisher
Royal Swedish Academy of Sciences
Year
2009
Tongue
English
Weight
495 KB
Volume
80
Category
Article
ISSN
0031-8949

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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