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On the nonlinear Schrödinger equation for waves on a nonuniform current

✍ Scribed by V. P. Ruban


Book ID
114989400
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
322 KB
Volume
95
Category
Article
ISSN
0021-3640

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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