Scattering for the dispersion managed nonlinear Schrödinger equation
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916110185529344 |
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| author | Choi, Mi-Ran Lee, Kiyeon Lee, Young-Ran |
| author_facet | Choi, Mi-Ran Lee, Kiyeon Lee, Young-Ran |
| contents | We consider the dispersion managed nonlinear Schrdinger equations with quintic and cubic nonlinearities in one and two dimensions, respectively. We prove the global well-posedness and scattering in $L_x^2$ for small initial data employing the $U^p$ and $V^p$ spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16717 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scattering for the dispersion managed nonlinear Schrödinger equation Choi, Mi-Ran Lee, Kiyeon Lee, Young-Ran Analysis of PDEs 35Q55, 37K60, 35Q60 We consider the dispersion managed nonlinear Schrdinger equations with quintic and cubic nonlinearities in one and two dimensions, respectively. We prove the global well-posedness and scattering in $L_x^2$ for small initial data employing the $U^p$ and $V^p$ spaces. |
| title | Scattering for the dispersion managed nonlinear Schrödinger equation |
| topic | Analysis of PDEs 35Q55, 37K60, 35Q60 |
| url | https://arxiv.org/abs/2401.16717 |