dc.creator | Cuevas-Maraver, Jesús | es |
dc.creator | Kevrekidis, Panayotis G. | es |
dc.creator | Frantzeskakis, Dimitri J. | es |
dc.creator | Karachalios, Nikolaos I. | es |
dc.creator | Haragus, Mariana | es |
dc.creator | James, Guillaume | es |
dc.date.accessioned | 2017-07-12T09:26:36Z | |
dc.date.available | 2017-07-12T09:26:36Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Cuevas-Maraver, J., Kevrekidis, P.G., Frantzeskakis, D.J., Karachalios, N.I., Haragus, M. y James, G. (2017). Floquet analysis of Kuznetsov-Ma breathers: A path towards spectral stability of rogue waves. Physical Review E, 1, 012202-1-012202-8. | |
dc.identifier.issn | 2470-0045 | es |
dc.identifier.issn | 2470-0053 | es |
dc.identifier.uri | http://hdl.handle.net/11441/62397 | |
dc.description.abstract | In the present work, we aim at taking a step towards the spectral stability analysis of Peregrine solitons, i.e.,
wave structures that are used to emulate extreme wave events. Given the space-time localized nature of Peregrine
solitons, this is a priori a nontrivial task. Our main tool in this effort will be the study of the spectral stability of
the periodic generalization of the Peregrine soliton in the evolution variable, namely the Kuznetsov-Ma breather.
Given the periodic structure of the latter, we compute the corresponding Floquet multipliers, and examine them
in the limit where the period of the orbit tends to infinity. This way, we extrapolate towards the stability of
the limiting structure, namely the Peregrine soliton. We find that multiple unstable modes of the background
are enhanced, yet no additional unstable eigenmodes arise as the Peregrine limit is approached. We explore the
instability evolution also in direct numerical simulations. | es |
dc.description.sponsorship | Unión Europea MAT2016-79866-R (AEI / FEDER, UE) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Physical Society | es |
dc.relation.ispartof | Physical Review E, 1, 012202-1-012202-8. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Floquet analysis of Kuznetsov-Ma breathers: A path towards spectral stability of rogue waves | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada I | es |
dc.relation.projectID | MAT2016-79866-R (AEI / FEDER, UE) | es |
dc.relation.publisherversion | https://link.aps.org/doi/10.1103/PhysRevE.96.012202 | es |
dc.identifier.doi | 10.1103/PhysRevE.96.012202 | es |
dc.contributor.group | Universidad de Sevilla. FQM280: Física no Lineal | es |
idus.format.extent | 8 p. | es |
dc.journaltitle | Physical Review E | es |
dc.publication.volumen | 1 | es |
dc.publication.initialPage | 012202-1 | es |
dc.publication.endPage | 012202-8 | es |
dc.contributor.funder | European Union (UE) | |