dc.contributor.author | Eychenne, Arnaud | |
dc.contributor.author | Valet, Frederic Fernand Jacques | |
dc.date.accessioned | 2024-08-07T09:11:54Z | |
dc.date.available | 2024-08-07T09:11:54Z | |
dc.date.created | 2023-10-27T09:32:47Z | |
dc.date.issued | 2023 | |
dc.identifier.issn | 0022-1236 | |
dc.identifier.uri | https://hdl.handle.net/11250/3145028 | |
dc.description.abstract | We study one particular asymptotic behaviour of a solution of the fractional modified Korteweg-de Vries equation (also known as the dispersion generalised modified Benjamin-Ono equation):
∂tu + ∂x(−|D|αu + u3) = 0.
The dipole solution is a solution behaving in large time as a sum of two strongly interacting solitary waves with different signs. We prove the existence of a dipole for fmKdV. A novelty of this article is the construction of accurate profiles. Moreover, to deal with the non-local operator |D|α , we refine some weighted commutator estimates. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Strongly interacting solitary waves for the fractional modified Korteweg-de Vries equation | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2023 The Author(s) | en_US |
dc.source.articlenumber | 110145 | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.doi | 10.1016/j.jfa.2023.110145 | |
dc.identifier.cristin | 2189048 | |
dc.source.journal | Journal of Functional Analysis | en_US |
dc.identifier.citation | Journal of Functional Analysis. 2023, 285 (11), 110145. | en_US |
dc.source.volume | 285 | en_US |
dc.source.issue | 11 | en_US |