Darboux transformation for the hirota equation

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dc.contributor.authorYılmaz, Halis
dc.date.accessioned2024-04-24T17:56:43Z
dc.date.available2024-04-24T17:56:43Z
dc.date.issued2022
dc.departmentDicle Üniversitesi, Ziya Gökalp Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Ana Bilim Dalıen_US
dc.description.abstractThe Hirota equation is an integrable higher order nonlinear Schrödinger type equation which describes the propagation of ultrashort light pulses in optical fibers. We present a standard Darboux transformation for the Hirota equation and then construct its quasideterminant solutions. As examples, the multi-soliton, breather and rogue wave solutions of the Hirota equation are given explicitly.en_US
dc.identifier.citationYılmaz, H. (2022). Darboux transformation for the hirota equation. Journal of Mathematical Physics, Analysis, Geometry, 18(1), 136-152.
dc.identifier.doi10.15407/mag18.01.136
dc.identifier.endpage152en_US
dc.identifier.issn1812-9471
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85129143616
dc.identifier.scopusqualityQ4
dc.identifier.startpage136en_US
dc.identifier.urihttps://doi.org/10.15407/mag18.01.136
dc.identifier.urihttps://hdl.handle.net/11468/23639
dc.identifier.volume18en_US
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherB.Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraineen_US
dc.relation.ispartofJournal of Mathematical Physics, Analysis, Geometry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBreather solutionsen_US
dc.subjectDarboux transformationen_US
dc.subjectHirota equationen_US
dc.subjectMultisoliton solutionsen_US
dc.subjectQuasideterminant solutionsen_US
dc.subjectRogue wave solutionsen_US
dc.titleDarboux transformation for the hirota equationen_US
dc.titleDarboux transformation for the hirota equation
dc.typeArticleen_US

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