The complexity of wave propagation of the nonlinear Schrödinger equation with weak periodic external field
✍ Scribed by Yanxia Hu; Keying Guan
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 304 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
In this paper, we are concerned with the existence of least energy solutions of nonlinear Schrödinger equations with electromagnetic fields for sufficiently large λ, where i is the imaginary unit, 2 < p < 2N N -2 for N ≥ 3 and 2 < p < +∞ for N = 1, 2. a(x) is a real continuous function on R N , and
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