Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/12912
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dc.contributor.authorPashaev, Oktay-
dc.contributor.authorLee, J. H.-
dc.date.accessioned2023-02-05T13:24:14Z-
dc.date.available2023-02-05T13:24:14Z-
dc.date.issued2022-
dc.identifier.issn0129-2021-
dc.identifier.issn0219-175X-
dc.identifier.urihttps://hdl.handle.net/11147/12912-
dc.description.abstractBy method of moving frame, the relativistic integrable nonlinear model for real, Majorana type spinor fields in 1+1 dimensions is introduced and gauge equivalence of this model with Papanicolau spin model on one sheet hyperboloid is established. In terms of the so called double numbers, the model is represented also as hyperbolic complex relativistic model, in the form similar to the massive Thirring model. By using Hirota's bilinear method, the one dissipaton solution of this model is constructed. We calculate first integrals of motion for this dissipaton and show that it represents a relativistic particle with highly nonlinear mass. Analyzing resonance conditions for scattering of two relativistic dissipatons, we find a solution describing resonant property of the dissipatons.en_US
dc.language.isoenen_US
dc.publisherYunnan Universityen_US
dc.relation.ispartofSoutheast Asian Bulletin of Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectThirring modelen_US
dc.subjectJT gravityen_US
dc.subjectDissipative solitonen_US
dc.subjectHirota methoden_US
dc.subjectRelativistic particleen_US
dc.subjectDouble numbersen_US
dc.subjectSchrodinger equationen_US
dc.subjectSoliton resonancesen_US
dc.titleRelativistic dissipatons in integrable nonlinear Majorana type spinor modelen_US
dc.typeArticleen_US
dc.institutionauthorPashaev, Oktay-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume46en_US
dc.identifier.issue6en_US
dc.identifier.startpage749en_US
dc.identifier.endpage770en_US
dc.identifier.wosWOS:000882491400007en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıtr
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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