Traveling waves and transverse instability for the fractional Kadomtsev–Petviashvili equation
dc.contributor.author | Borluk, Handan | |
dc.contributor.author | Bruell, G. | |
dc.contributor.author | Nilsson, D. | |
dc.date.accessioned | 2023-06-21T12:46:38Z | |
dc.date.available | 2023-06-21T12:46:38Z | |
dc.date.issued | 2022-07 | |
dc.identifier.issn | 0022-2526 | en_US |
dc.identifier.uri | http://hdl.handle.net/10679/8451 | |
dc.identifier.uri | https://onlinelibrary.wiley.com/doi/full/10.1111/sapm.12494 | |
dc.description.abstract | Of concern are traveling wave solutions for the fractional Kadomtsev–Petviashvili (fKP) equation. The existence of periodically modulated solitary wave solutions is proved by dimension-breaking bifurcation. Moreover, the line solitary wave solutions and their transverse (in)stability are discussed. Analogous to the classical Kadmomtsev–Petviashvili (KP) equation, the fKP equation comes in two versions: fKP-I and fKP-II. We show that the line solitary waves of fKP-I equation are transversely linearly instable. We also perform numerical experiments to observe the (in)stability dynamics of line solitary waves for both fKP-I and fKP-II equations. | en_US |
dc.description.sponsorship | Deutsche Forschungsgemeinschaft | |
dc.language.iso | eng | en_US |
dc.publisher | Wiley | en_US |
dc.relation.ispartof | Studies in Applied Mathematics | |
dc.rights | restrictedAccess | |
dc.title | Traveling waves and transverse instability for the fractional Kadomtsev–Petviashvili equation | en_US |
dc.type | Article | 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 | 149 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 95 | en_US |
dc.identifier.endpage | 123 | en_US |
dc.identifier.wos | WOS:000772083700001 | |
dc.identifier.doi | 10.1111/sapm.12494 | en_US |
dc.subject.keywords | Dimension-breaking bifurcation | en_US |
dc.subject.keywords | Exponential time differencing | en_US |
dc.subject.keywords | Fractional Kadomtsev–Petviashvili equation | en_US |
dc.subject.keywords | Petviashvili iteration | en_US |
dc.subject.keywords | Solitary waves | en_US |
dc.subject.keywords | Transverse instability | en_US |
dc.identifier.scopus | SCOPUS:2-s2.0-85126886841 | |
dc.relation.publicationcategory | Article - International Refereed Journal - Institutional Academic Staff |
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