dc.contributor.author | Hussien Elkhorbatly, Bashar | |
dc.date.accessioned | 2023-01-11T09:53:08Z | |
dc.date.available | 2023-01-11T09:53:08Z | |
dc.date.created | 2023-01-09T14:31:45Z | |
dc.date.issued | 2023 | |
dc.identifier.issn | 0170-4214 | |
dc.identifier.uri | https://hdl.handle.net/11250/3042617 | |
dc.description.abstract | Following a straightforward proof for symmetric solutions to be traveling waves by Pei (Exponential decay and symmetry of solitary waves to Degasperis-Procesi equation. Journal of Differential Equations. 2020;269(10):7730-7749), we prove that classical symmetric solutions of the highly nonlinear shallow water equation recently derived by Quirchmayr (A new highly nonlinear shallow water wave equation. Journal of Evolution Equations. 2016;16(3):539-556) are indeed traveling waves, with further information on their steady structures. We also provide a simple proof that symmetric waves are traveling waves to the free surface evolution equation of moderate amplitude waves in shallow water. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Wiley | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | Symmetric waves are traveling waves of some shallow water scalar equations | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2022 The Author(s) | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1002/mma.8830 | |
dc.identifier.cristin | 2083848 | |
dc.source.journal | Mathematical Methods in the Applied Sciences | en_US |
dc.source.pagenumber | 5262-5266 | |
dc.identifier.citation | Mathematical Methods in the Applied Sciences. 2023, 46 (5), 5262-5266. | en_US |
dc.source.volume | 46 | |
dc.source.issue | 5 | |