The inverse scattering theory of Kadomtsev-Petviashvili II equations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917750001106944 |
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| author | Wu, Derchyi |
| author_facet | Wu, Derchyi |
| contents | An overview of the inverse scattering theory of the Kadomtsev Petviashvili II equation with an emphasis on the inverse problem for perturbed KP multi line solitons is provided. It is shown that, despite additional algebraic or analytic techniques are introduced due to new singular structures, there exists a consistency of the inverse scattering theories for different backgrounds such as the vacuum, $1$-line solitons, and multi line solitons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07868 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The inverse scattering theory of Kadomtsev-Petviashvili II equations Wu, Derchyi Exactly Solvable and Integrable Systems Analysis of PDEs 35Q53, 35P25, 37K15 An overview of the inverse scattering theory of the Kadomtsev Petviashvili II equation with an emphasis on the inverse problem for perturbed KP multi line solitons is provided. It is shown that, despite additional algebraic or analytic techniques are introduced due to new singular structures, there exists a consistency of the inverse scattering theories for different backgrounds such as the vacuum, $1$-line solitons, and multi line solitons. |
| title | The inverse scattering theory of Kadomtsev-Petviashvili II equations |
| topic | Exactly Solvable and Integrable Systems Analysis of PDEs 35Q53, 35P25, 37K15 |
| url | https://arxiv.org/abs/2408.07868 |