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Proof of a Spectral Property related to the singularity formation for the critical nonlinear Schrödinger equation

✍ Scribed by Gadi Fibich; Frank Merle; Pierre Raphaël

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
523 KB
Volume
220
Category
Article
ISSN
0167-2789

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On the convergence of a difference schem
On the convergence of a difference scheme for coupled nonlinear Schrödinger equations
✍ Zhi-zhong Sun; Dan-dan Zhao 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 394 KB

In this article, a finite difference scheme for coupled nonlinear Schrödinger equations is studied. The existence of the difference solution is proved by Brouwer fixed point theorem. With the aid of the fact that the difference solution satisfies two conservation laws, the finite difference solution