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Large scale limit for a dispersion-managed NLS (2504.13798v1)
Published 18 Apr 2025 in math.AP
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.