NONNULL SOLITON SURFACE ASSOCIATED WITH THE BETCHOV-DA RIOS EQUATION

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dc.contributor.authorLi, Yanlin
dc.contributor.authorErdogdu, Melek
dc.contributor.authorYavuz, Ayse
dc.date.accessioned2024-02-23T14:49:30Z
dc.date.available2024-02-23T14:49:30Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractThe aim of this paper is to investigate the nonnull soliton surfaces associated with Betchov-Da Rios equation in Minkowski space-time. The differential geometric properties of these kind of nonnull soliton surfaces are examined with respect to the Lorentzian casual characterizations. Moreover, the linear maps of Weingarten type are obtained which are defined on tangent spaces of these soliton surfaces. Some new results are obtained by means of two geometric invariants ?? and h which are generated by linear maps of Weingarten type. Then, the mean curvature vector field and Gaussian curvature of the nonnull soliton surface are obtained. Finally, it is shown that this kind of soliton surface consists of flat points as a numerical example.en_US
dc.description.sponsorshipNational Natural Science Foundation of China; [12101168]en_US
dc.description.sponsorshipAcknowledgement This work was funded by the National Natural Science Foundation of China (Grant No. 12101168) .en_US
dc.identifier.endpage255en_US
dc.identifier.issn0034-4877
dc.identifier.issn1879-0674
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage241en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12452/18231
dc.identifier.volume90en_US
dc.identifier.wosWOS:000882627300001en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofReports On Mathematical Physicsen_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.subjectSmoke Ring Equationen_US
dc.subjectVortex Filament Equationen_US
dc.subjectNonlinear Schrodinger (Nls) Equationen_US
dc.subjectMinkowski Spaceen_US
dc.titleNONNULL SOLITON SURFACE ASSOCIATED WITH THE BETCHOV-DA RIOS EQUATIONen_US
dc.typeArticleen_US

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