Well-posedness of dispersion managed nonlinear Schrödinger equations

DOI10.1016/j.jmaa.2022.126938OpenAlexW3012782364MaRDI QIDQ2685232

Mi-Ran Choi, Young-Ran Lee, Dirk Hundertmark

Publication date: 20 February 2023

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

Full work available at URL: https://arxiv.org/abs/2003.09076

zbMATH Keywords

well-posednessdispersion managementorbital stabilitynonlocal NLS

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Continuum limit related to dispersion managed nonlinear Schrödinger equations ⋮ Uniqueness of a Minimizer for a Variational Problem Related to the Dispersion Managed Nonlinear Schrödinger Equation ⋮ On dispersion managed nonlinear Schrödinger equations with lumped amplification

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