Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion

DOI10.3934/dcdss.2020456zbMath1476.35235OpenAlexW3099854342MaRDI QIDQ2063980

Serge Dumont, Olivier Goubet, Youcef Mammeri

Publication date: 3 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020456

zbMATH Keywords

decay ratesplitting schemewhite noise dispersionNLS equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Cites Work

• 1D quintic nonlinear Schrödinger equation with white noise dispersion
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• The nonlinear Schrödinger equation with white noise dispersion
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• Well-posedness and averaging of NLS with time-periodic dispersion management
• Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion
• Asymptotics for dissipative nonlinear equations
• Analysis of a splitting scheme for a class of random nonlinear partial differential equations
• Nonlinear PDEs with Modulated Dispersion I: Nonlinear Schrödinger Equations
• Commutator estimates and the euler and navier-stokes equations
• Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion
• Unnamed Item

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