A random dispersion Schrödinger equation with time-oscillating nonlinearity

DOI10.1016/j.jmaa.2014.04.020zbMath1307.35277OpenAlexW1964517108MaRDI QIDQ489075

Daoyuan Fang, Linzi Zhang, Ting Zhang

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.04.020

zbMATH Keywords

nonlinear Schrödinger equationtime-oscillating nonlinearityrandom dispersion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)

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A random Schrödinger equation with time-oscillating nonlinearity and linear dissipation/gain

Cites Work

• A Schrödinger equation with time-oscillating critical nonlinearity
• Continuous dependence for NLS in fractional order spaces
• 1D quintic nonlinear Schrödinger equation with white noise dispersion
• On a splitting scheme for the nonlinear Schrödinger equation in a random medium
• The nonlinear Schrödinger equation with white noise dispersion
• A Schrödinger equation with time-oscillating nonlinearity
• Asymptotic Statistics