dc.contributor.author | Arnesen, Mathias Nikolai | |
dc.date.accessioned | 2020-03-02T07:10:55Z | |
dc.date.available | 2020-03-02T07:10:55Z | |
dc.date.created | 2020-02-17T09:25:06Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Journal of Mathematical Analysis and Applications. 2019, 479 25-44. | nb_NO |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://hdl.handle.net/11250/2644502 | |
dc.description.abstract | We consider the non-local formulation of the Degasperis-Procesi equation , where L is the non-local Fourier multiplier operator with symbol . We show that all , pointwise travelling-wave solutions are bounded above by the wave-speed and that if the maximal height is achieved they are peaked at those points, otherwise they are smooth. For sufficiently small periods we find the highest, peaked, travelling-wave solution as the limiting case at the end of the main bifurcation curve of P-periodic solutions. The results imply that there are no travelling cuspon solutions to the Degasperis-Procesi equation. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Elsevier | nb_NO |
dc.relation.uri | https://www.sciencedirect.com/science/article/pii/S0022247X19304883 | |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | A non-local approach to waves of maximal height for the Degasperis-Procesi equation | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.source.pagenumber | 25-44 | nb_NO |
dc.source.volume | 479 | nb_NO |
dc.source.journal | Journal of Mathematical Analysis and Applications | nb_NO |
dc.identifier.doi | 10.1016/j.jmaa.2019.06.014 | |
dc.identifier.cristin | 1794580 | |
dc.relation.project | Norges forskningsråd: 231668 | nb_NO |
dc.relation.project | Norges forskningsråd: 250070 | nb_NO |
dc.description.localcode | This is an open access article distributed under the terms of the Creative Commons CC-BY license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |