Lump solutions of the fractional Kadomtsev–Petviashvili equation
dc.contributor.author | Borluk, Handan | |
dc.contributor.author | Bruell, G. | |
dc.contributor.author | Nilsson, D. | |
dc.date.accessioned | 2024-02-23T19:07:12Z | |
dc.date.available | 2024-02-23T19:07:12Z | |
dc.date.issued | 2024-01 | |
dc.identifier.issn | 1311-0454 | en_US |
dc.identifier.uri | http://hdl.handle.net/10679/9206 | |
dc.identifier.uri | https://link.springer.com/article/10.1007/s13540-023-00236-2 | |
dc.description.abstract | Of concern is the fractional Kadomtsev–Petviashvili (fKP) equation and its lump solution. As in the classical Kadomtsev–Petviashvili equation, the fKP equation comes in two versions: fKP-I (strong surface tension case) and fKP-II (weak surface tension case). We prove the existence of nontrivial lump solutions for the fKP-I equation in the energy subcritical case α>45 by means of variational methods. It is already known that there exist neither nontrivial lump solutions belonging to the energy space for the fKP-II equation [9] nor for the fKP-I when α≤45 [26]. Furthermore, we show that for any α>45 lump solutions for the fKP-I equation are smooth and decay quadratically at infinity. Numerical experiments are performed for the existence of lump solutions and their decay. Moreover, numerically, we observe cross-sectional symmetry of lump solutions for the fKP-I equation. | en_US |
dc.description.sponsorship | Wallenberg foundation | |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.relation.ispartof | Fractional Calculus and Applied Analysis | |
dc.rights | openAccess | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.title | Lump solutions of the fractional Kadomtsev–Petviashvili equation | en_US |
dc.type | Article | en_US |
dc.description.version | Publisher version | en_US |
dc.peerreviewed | yes | en_US |
dc.publicationstatus | Published | en_US |
dc.contributor.department | Özyeğin University | |
dc.contributor.authorID | (ORCID 0000-0002-0491-9562 & YÖK ID 31809) Borluk, Handan | |
dc.contributor.ozuauthor | Borluk, Handan | |
dc.identifier.volume | 27 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 22 | en_US |
dc.identifier.endpage | 63 | en_US |
dc.identifier.wos | WOS:001139610300001 | |
dc.identifier.doi | 10.1007/s13540-023-00236-2 | en_US |
dc.subject.keywords | Decay of lump solutions | en_US |
dc.subject.keywords | Existence of lump solutions | en_US |
dc.subject.keywords | Fractional Kadomtsev-Petviashvili equation (primary) | en_US |
dc.subject.keywords | Petviashvili iteration | en_US |
dc.identifier.scopus | SCOPUS:2-s2.0-85181907786 | |
dc.relation.publicationcategory | Article - International Refereed Journal - Institutional Academic Staff |
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