Large scale limit for a dispersion-managed NLS
Analysis of PDEs
2025-04-21 v1
Abstract
We derive the standard power-type NLS as a scaling limit of the Gabitov--Turitsyn dispersion-managed NLS, using the 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 -norm.
Cite
@article{arxiv.2504.13798,
title = {Large scale limit for a dispersion-managed NLS},
author = {Jason Murphy},
journal= {arXiv preprint arXiv:2504.13798},
year = {2025}
}
Comments
13 pages