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On the stability of the nonlinear Schrödinger equation

✍ Scribed by B.M Herbst; A.R Mitchell; J.A.C Weideman

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
786 KB
Volume
60
Category
Article
ISSN
0021-9991

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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