Transmission of fast solitons for the NLS with an external potential
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913609752248320 |
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| author | Hogan, Christopher C. Murphy, Jason |
| author_facet | Hogan, Christopher C. Murphy, Jason |
| contents | We consider the dynamics of a boosted soliton evolving under the cubic NLS with an external potential. We show that for sufficiently large velocities, the soliton is effectively transmitted through the potential. This result extends work of Holmer, Marzuola, and Zworski, who considered the case of a delta potential with no bound states, and work of Datchev and Holmer, who considered the case of a delta potential with a linear bound state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_06769 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Transmission of fast solitons for the NLS with an external potential Hogan, Christopher C. Murphy, Jason Analysis of PDEs We consider the dynamics of a boosted soliton evolving under the cubic NLS with an external potential. We show that for sufficiently large velocities, the soliton is effectively transmitted through the potential. This result extends work of Holmer, Marzuola, and Zworski, who considered the case of a delta potential with no bound states, and work of Datchev and Holmer, who considered the case of a delta potential with a linear bound state. |
| title | Transmission of fast solitons for the NLS with an external potential |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2310.06769 |