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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2406.03910 |
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| _version_ | 1866908471610310656 |
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| author | Baldelli, Laura Bieganowski, Bartosz Mederski, Jarosław |
| author_facet | Baldelli, Laura Bieganowski, Bartosz Mederski, Jarosław |
| contents | We look for traveling wave solutions to the nonlinear Schrödinger equation with a subsonic speed, covering several physical models with Sobolev subcritical nonlinear effects. Our approach is based on a variant of Sobolev-type inequality involving the momentum and we show the existence of its minimizers solving the nonlinear Schrödinger equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03910 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Traveling waves for nonlinear Schrödinger equations Baldelli, Laura Bieganowski, Bartosz Mederski, Jarosław Analysis of PDEs 35J20, 35J10, 35C07 We look for traveling wave solutions to the nonlinear Schrödinger equation with a subsonic speed, covering several physical models with Sobolev subcritical nonlinear effects. Our approach is based on a variant of Sobolev-type inequality involving the momentum and we show the existence of its minimizers solving the nonlinear Schrödinger equation. |
| title | Traveling waves for nonlinear Schrödinger equations |
| topic | Analysis of PDEs 35J20, 35J10, 35C07 |
| url | https://arxiv.org/abs/2406.03910 |