Large scale limit for a dispersion-managed NLS

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 $L^2$-norm.

Publication Details

Journal
ArXiv.org
Published
2025-04-18
Primary Topic
Advanced Mathematical Physics Problems
Type
article
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article

Large scale limit for a dispersion-managed NLS

ArXiv.org
Advanced Mathematical Physics Problems
article

Large scale limit for a dispersion-managed NLS

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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 $L^2$-norm.

ArXiv.org
Openalex Percentile: Top 44%
Advanced Mathematical Physics Problems
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Large scale limit for a dispersion-managed NLS · ArXiv.org (2025) | TGRS Research Map | TGRS