The focusing logarithmic Schrödinger equation: analysis of breathers and nonlinear superposition

DOI10.3934/dcds.2020277OpenAlexW4288090368MaRDI QIDQ2196706

Guillaume Ferriere

Publication date: 3 September 2020

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

Full work available at URL: https://arxiv.org/abs/1910.09436

zbMATH Keywords

nonlinear dynamicsbreatherslogarithmic Schrödinger equationnonlinear superpositionGaussian solitary wavesGaussons

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to ordinary differential equations (34C25) Periodic solutions to PDEs (35B10) Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (11)

Logarithmic Schrödinger equations in infinite dimensions ⋮ WKB analysis of the logarithmic nonlinear Schrödinger equation in an analytic framework ⋮ Error estimates of local energy regularization for the logarithmic Schrödinger equation ⋮ On multi-solitons for coupled lowest Landau level equations ⋮ Existence of multi-solitons for the focusing logarithmic non-linear Schrödinger equation ⋮ Around Plane Waves Solutions of the Schrödinger--Langevin Equation ⋮ Logarithmic Schrödinger equation and isothermal fluids ⋮ Growth of Sobolev norms for coupled lowest Landau level equations ⋮ Global attractor for damped forced nonlinear logarithmic Schrödinger equations ⋮ Dynamics of the Schrödinger–Langevin equation ⋮ Logarithmic Schrödinger equation with quadratic potential*

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