BETCHOV-DA RIOS EQUATION BY NULL CARTAN, PSEUDO NULL AND PARTIALLY NULL CURVE IN MINKOWSKI SPACETIME

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dc.contributor.authorErdogdu, Melek
dc.contributor.authorLi, Yanlin
dc.contributor.authorYavuz, Ayse
dc.date.accessioned2024-02-23T14:37:57Z
dc.date.available2024-02-23T14:37:57Z
dc.date.issued2023
dc.departmentNEÜen_US
dc.description.abstractThe aim of this paper is to investigate Betchov-Da Rios equation by using null Cartan, pseudo null and partially null curve in Minkowski spacetime. Time derivative formulas of frame of s parameter null Cartan, pseudo null and partially null curve are examined, respectively. By using the obtained derivative formulas, new results are given about the solution of Betchov-Da Rios equation. The differential geomet-ric properties of these solutions are obtained with respect to Lorentzian causal character of s parameter curve. For a solution of Betchov-Da Rios equation, it is seen that null Cartan s parameter curves are space curves in three-dimensional Minkowski space. Then all points of the soliton sur-face are flat points of the surface for null Cartan and partially null curve. Thus, it is seen from the results obtained that there is no surface corresponding to the solution of Betchov-Da Rios equation by using the pseudo null s parameter curve.en_US
dc.identifier.doi10.4134/BKMS.b220645
dc.identifier.endpage1280en_US
dc.identifier.issn1015-8634
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85175291180en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1265en_US
dc.identifier.urihttps://doi.org/10.4134/BKMS.b220645
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16303
dc.identifier.volume60en_US
dc.identifier.wosWOS:001091383300007en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherKorean Mathematical Socen_US
dc.relation.ispartofBulletin Of The Korean Mathematical Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBetchov-Da Rios Equationen_US
dc.subjectLocalized Induction Equation (Lie)en_US
dc.subjectNull Cartan Curveen_US
dc.subjectPseudo Null Curveen_US
dc.subjectPartially Null Curveen_US
dc.subjectMinkowski Spacetimeen_US
dc.titleBETCHOV-DA RIOS EQUATION BY NULL CARTAN, PSEUDO NULL AND PARTIALLY NULL CURVE IN MINKOWSKI SPACETIMEen_US
dc.typeArticleen_US

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