dc.contributor.author | Hussien Elkhorbatly, Bashar | |
dc.date.accessioned | 2024-05-06T06:33:05Z | |
dc.date.available | 2024-05-06T06:33:05Z | |
dc.date.created | 2024-02-15T12:11:38Z | |
dc.date.issued | 2024 | |
dc.identifier.issn | 0026-9255 | |
dc.identifier.uri | https://hdl.handle.net/11250/3129112 | |
dc.description.abstract | In the context of the initial data and an amplitude parameter ε, we establish a local existence result for a highly nonlinear shallow water equation on the real line. This result holds in the space Hk as long as k > 5/2. Additionally, we illustrate that the threshold time for the occurrence of wave breaking in the surging type is on the order of ε−1, while plunging breakers do not manifest. Lastly, in accordance with ODE theory, it is demonstrated that there are no exact solitary wave solutions in the form of sech and sech2. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of sech2 solutions | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2024 the author | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1007/s00605-024-01945-3 | |
dc.identifier.cristin | 2246353 | |
dc.source.journal | Monatshefte für Mathematik | en_US |
dc.source.pagenumber | 635-651 | en_US |
dc.identifier.citation | Monatshefte für Mathematik. 2024, 203, 635-651. | en_US |
dc.source.volume | 203 | en_US |