Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911519978029056 |
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| author | Gassot, Louise Gérard, Patrick |
| author_facet | Gassot, Louise Gérard, Patrick |
| contents | We construct a class of infinite-order multisoliton solutions of the Benjamin-Ono equation on the line, for which the initial data exhibits slow spatial decay. We prove that in the long-time asymptotics, such a solution decouples as an infinite superposition of independent soliton solutions with different velocities and no radiation term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15419 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution Gassot, Louise Gérard, Patrick Analysis of PDEs 37K10, 35B40, 35Q51 We construct a class of infinite-order multisoliton solutions of the Benjamin-Ono equation on the line, for which the initial data exhibits slow spatial decay. We prove that in the long-time asymptotics, such a solution decouples as an infinite superposition of independent soliton solutions with different velocities and no radiation term. |
| title | Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution |
| topic | Analysis of PDEs 37K10, 35B40, 35Q51 |
| url | https://arxiv.org/abs/2603.15419 |