Averaging of dispersion managed nonlinear Schrödinger equations

DOI10.1088/1361-6544/ac5464zbMath1490.35404arXiv2108.07444OpenAlexW4220990641MaRDI QIDQ5062143

Young-Ran Lee, Mi-Ran Choi

Publication date: 15 March 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.07444

zbMATH Keywords

global existenceaveragingdispersion managed nonlinear Schrödinger equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (6)

Well-posedness and blowup for the dispersion-managed nonlinear Schrödinger equation ⋮ Averaging of strong magnetic nonlinear Schrödinger equations in the energy space ⋮ Continuum limit related to dispersion managed nonlinear Schrödinger equations ⋮ Well-posedness of dispersion managed nonlinear Schrödinger equations ⋮ Numerical methods for some nonlinear Schrödinger equations in soliton management ⋮ Uniqueness of a Minimizer for a Variational Problem Related to the Dispersion Managed Nonlinear Schrödinger Equation

Cites Work

• Unnamed Item
• Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement
• On non-local variational problems with lack of compactness related to non-linear optics
• On a variational problem with lack of compactness related to the Strichartz inequality
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Averaging of nonlinear Schrödinger equations with strong magnetic confinement
• Well-posedness and averaging of NLS with time-periodic dispersion management
• Stability of dispersion managed solitons for vanishing average dispersion
• Similarity transformations for nonlinear Schrödinger equations with time-dependent coefficients
• On dispersion managed nonlinear Schrödinger equations with lumped amplification
• On the well-posedness of the Cauchy problem for some nonlocal nonlinear Schrödinger equations
• Thresholds for Existence of Dispersion Management Solitons for General Nonlinearities
• Stabilizing effects of dispersion management

This page was built for publication: Averaging of dispersion managed nonlinear Schrödinger equations