Spectral stability of periodic waves for the Zakharov system

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dc.authoridStefanov, Atanas/0000-0002-0934-506X
dc.authoridStanislavova, Milena/0000-0002-7144-3613
dc.authoridHakkaev, Sevdzhan/0000-0002-1531-8340
dc.authorwosidStefanov, Atanas/H-4242-2012
dc.contributor.authorHakkaev, Sevdzhan
dc.contributor.authorStanislavova, Milena
dc.contributor.authorStefanov, Atanas G.
dc.date.accessioned2024-06-12T11:19:59Z
dc.date.available2024-06-12T11:19:59Z
dc.date.issued2023
dc.departmentTrakya Üniversitesien_US
dc.description.abstractThis paper is concerned with the stability of periodic traveling waves of dnoidal type, of the Zakharov system. This problem was considered in a study of Angulo and Brango [Nonlinearity 24, 2913 (2011)]. In particular, it was shown that under a technical condition on the perturbation, such waves are orbitally stable, with respect to perturbations of the same period. Our main result fills up the gap created by the aforementioned technical condition. More precisely, we show that for all natural values of the parameters, the periodic dnoidal waves are spectrally stable.en_US
dc.description.sponsorshipNSF [2204788]en_US
dc.description.sponsorshipACKNOWLEDGMENTSMilena Stanislavova was partially supported by the NSF, under Award No. 2210867. Atanas Stefanov was partially supported by the NSF, under Award No. 2204788.en_US
dc.identifier.doi10.1063/5.0106133
dc.identifier.issn0022-2488
dc.identifier.issn1089-7658
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85168127250en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1063/5.0106133
dc.identifier.urihttps://hdl.handle.net/20.500.14551/25404
dc.identifier.volume64en_US
dc.identifier.wosWOS:001044568700001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAip Publishingen_US
dc.relation.ispartofJournal Of Mathematical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSolitary Wavesen_US
dc.subjectOrbital Stabilityen_US
dc.subjectGround-Statesen_US
dc.titleSpectral stability of periodic waves for the Zakharov systemen_US
dc.typeArticleen_US

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