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Note on the stability criterion of a nonlinear partial differential equation of Schrödinger type

✍ Scribed by Y.O. El-Dib


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
239 KB
Volume
7
Category
Article
ISSN
0893-9659

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On asymptotic stability of solitary wave
✍ Vladimir S. Buslaev; Catherine Sulem 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 401 KB

We study the long-time behavior of solutions of the nonlinear Schrödinger equation in one space dimension for initial conditions in a small neighborhood of a stable solitary wave. Under some hypothesis on the structure of the spectrum of the linearized operator, we prove that, asymptotically in time