Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910887644758016 |
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| author | Donmazov, Samir Liu, Jiaqi Perry, Peter |
| author_facet | Donmazov, Samir Liu, Jiaqi Perry, Peter |
| contents | We prove large time asymptotics for solutions of the KP I equation with small initial data. Our assumptions on the initial data rule out lump solutions but give a precise description of the radiation field at large times. Our analysis uses the inverse scattering method and involves large-time asymptotics for solutions to a non-local Riemann-Hilbert problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14480 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation Donmazov, Samir Liu, Jiaqi Perry, Peter Analysis of PDEs 37K40, 37K15, 35Q15, 35Q53 We prove large time asymptotics for solutions of the KP I equation with small initial data. Our assumptions on the initial data rule out lump solutions but give a precise description of the radiation field at large times. Our analysis uses the inverse scattering method and involves large-time asymptotics for solutions to a non-local Riemann-Hilbert problem. |
| title | Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation |
| topic | Analysis of PDEs 37K40, 37K15, 35Q15, 35Q53 |
| url | https://arxiv.org/abs/2409.14480 |