Large scale limit for a dispersion-managed NLS

2025/04/18 by Murphy, Jason · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.13798

Abstract

We derive the standard power-type NLS as a scaling limit of the Gabitov--Turitsyn dispersion-managed NLS, using the 2d defocusing, cubic equation as a model case. In particular, we obtain global-in-time scattering solutions to the dispersion-managed NLS for large scale data of arbitrary L²-norm.

Cited by

• On ill-posedness for the Gabitov--Turitsyn equation

Related

• Small and large data scattering for the dispersion-managed NLS
• Modified scattering for the cubic dispersion-managed NLS
• Global existence versus finite time blowup dichotomy for the dispersion managed NLS
• Averaging of dispersion managed nonlinear Schrödinger equations
• Scattering for the dispersion managed nonlinear Schrödinger equation