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Lectures on the Orbital Stability of Standing Waves and Application to the Nonlinear Schrödinger Equation

✍ Scribed by C. A. Stuart

Book ID
105766667
Publisher
SP Birkhäuser Verlag Basel
Year
2008
Tongue
English
Weight
532 KB
Volume
76
Category
Article
ISSN
1424-9286

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📜 SIMILAR VOLUMES

Orbital Stability of Solitary Waves for
Orbital Stability of Solitary Waves for the Nonlinear Derivative Schrödinger Equation
✍ B.L. Guo; Y.P. Wu 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 445 KB

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

On standing wave solutions to the Schröd
On standing wave solutions to the Schrödinger equation
✍ D.J Kouri; F.S Levin 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 437 KB

The standing wave solution to the Schriidinger equation defined in terms of the standing wave Green's function for the full Hamiltonian is discussed. This solution is compared with the more usual standing wave solution. The former is shown to be onehalf the sum of the usual ingoing and outgoing wave