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Classification of Solitary Wave Bifurcations in Generalized Nonlinear Schrödinger Equations

✍ Scribed by Jianke Yang


Book ID
115225202
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
750 KB
Volume
129
Category
Article
ISSN
0022-2526

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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