Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
✍ Scribed by M. Colin; Th. Colin; M. Ohta
- Book ID
- 108052976
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 240 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0294-1449
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📜 SIMILAR VOLUMES
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
Consider herein are the stability of the solitary waves \(e^{-i \omega u s} e^{i \psi(x-t t)} a(x-v t)\) for the following nonlinear quintic derivative Schrödinger equation. \[ u_{t}=i u_{x x}+i\left(c_{3}|u|^{2}+c_{s}|u|^{4}\right) u+\left[\left(s_{0}+s_{2}|u|^{2}\right) u\right]_{v}, \quad u \in