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On the stability of solitary-wave solutions of Yukawa-coupled Klein-Gordon-Schrödinger equations

✍ Scribed by H. J. Efinger


Book ID
112883683
Publisher
Società Italiana di Fisica
Year
1982
Weight
122 KB
Volume
35
Category
Article
ISSN
0375-930X

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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