Large scale limit for a dispersion-managed NLS
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912334424834048 |
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| author | Murphy, Jason |
| author_facet | Murphy, Jason |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13798 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large scale limit for a dispersion-managed NLS Murphy, Jason Analysis of PDEs 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. |
| title | Large scale limit for a dispersion-managed NLS |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.13798 |