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dc.contributor.authorBayındır, Cihanen_US
dc.contributor.authorÖzaydın, Fatihen_US
dc.date.accessioned2022-04-01T10:42:30Z
dc.date.available2022-04-01T10:42:30Z
dc.date.issued2022
dc.identifier.citationBayındır, C. & Özaydın, F. (2022). Self-localized soliton solutions of the nonlinear quantum harmonic oscillator. TWMS Journal Of Applied And Engineering Mathematics, 12(2), 412-424.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3822
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/115-vol12no2/827
dc.description.abstractWe analyze the existences, properties and stabilities of the self-localized solutions of the nonlinear quantum harmonic oscillator (NQHO) using spectral renormalization method (SRM). We show that self-localized single and dual soliton solutions of the NQHO do exist. Additionally we report that single and dual soliton solutions satisfy the necessary Vakhitov and Kolokolov slope condition, at least for the parameter ranges considered. Additionally, we investigate the stability characteristics of the single and dual soliton solutions using a split-step Fourier scheme. We show that single and dual soliton solutions are pulsating during time stepping. We discuss our findings and comment on our results.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectNonlinear quantum harmonic oscillatoren_US
dc.subjectSelf-localized soliton stabilityen_US
dc.subjectSpectral renormalization methoden_US
dc.subjectSplit-step Fourier methoden_US
dc.titleSelf-localized soliton solutions of the nonlinear quantum harmonic oscillatoren_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.identifier.volume12
dc.identifier.issue2
dc.identifier.startpage412
dc.identifier.endpage424
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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