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
On the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equations
✍ Scribed by Muñoz, Claudio
- Book ID
- 113021368
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 737 KB
- Volume
- 353
- Category
- Article
- ISSN
- 0025-5831
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