Orbital stability of a two parameter family of solitary waves for a fourth order nonlinear Schrödinger type equation
✍ Scribed by Segata, Jun-ichi
- Book ID
- 120496715
- Publisher
- American Institute of Physics
- Year
- 2013
- Tongue
- English
- Weight
- 430 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0022-2488
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📜 SIMILAR VOLUMES
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
## Abstract This paper is concerned with a nonlinear defocusing fourth‐order dispersive Schrödinger equation with unbounded potentials which models propagation in fiber arrays. We analyze the global existence of the solution and also obtain the existence of the standing waves for the system. Furthe