Averaging for the dispersion-managed NLS
Analysis of PDEs
2024-12-16 v1
Abstract
We establish global-in-time averaging for the -critical dispersion-managed nonlinear Schr\"odinger equation in the fast dispersion management regime. In particular, in the case of nonzero average dispersion, we establish averaging with any subcritical data, while in the case of a strictly positive dispersion map, we obtain averaging for data in .
Keywords
Cite
@article{arxiv.2205.11009,
title = {Averaging for the dispersion-managed NLS},
author = {Luccas Campos and Jason Murphy and Tim Van Hoose},
journal= {arXiv preprint arXiv:2205.11009},
year = {2024}
}
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13 pages