Stability of Kadomtsev-Petviashvili multi-line solitons
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916359131103232 |
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| author | Wu, Derchyi |
| author_facet | Wu, Derchyi |
| contents | We prove the long-standing inverse scattering theory (IST) of perturbed Kadomtsev Petviashvili multi-line solitons. Our work is the first rigorous IST of a multi-dimensional integrable system when both continuous and discrete scattering data are present, and the support of continuous scattering data does not degenerate into contours in the complex plane. As an application, an $L^\infty$-stability theorem of the Kadomtsev Petviashvili multi-line solitons is justified. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_07432 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Stability of Kadomtsev-Petviashvili multi-line solitons Wu, Derchyi Analysis of PDEs Exactly Solvable and Integrable Systems 35Q53, 35P25, 37K15 We prove the long-standing inverse scattering theory (IST) of perturbed Kadomtsev Petviashvili multi-line solitons. Our work is the first rigorous IST of a multi-dimensional integrable system when both continuous and discrete scattering data are present, and the support of continuous scattering data does not degenerate into contours in the complex plane. As an application, an $L^\infty$-stability theorem of the Kadomtsev Petviashvili multi-line solitons is justified. |
| title | Stability of Kadomtsev-Petviashvili multi-line solitons |
| topic | Analysis of PDEs Exactly Solvable and Integrable Systems 35Q53, 35P25, 37K15 |
| url | https://arxiv.org/abs/2205.07432 |