A GEOMETRIC APPLICATION OF SOLITON SURFACES ASSOCIATED WITH THE BETCHOV-DA RIOS EQUATION USING AN EXTENDED DARBOUX FRAME FIELD IN E4

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dc.contributor.authorKazan, Ahmet
dc.contributor.authorAltin, Mustafa
dc.date.accessioned2026-06-19T06:41:26Z
dc.date.available2026-06-19T06:41:26Z
dc.date.issued2025
dc.departmentMalatya Turgut Özal Üniversitesi
dc.description.abstractIn this paper, for a soliton surface Omega = Omega (u, v) associated with the Betchov-Da Rios equation, we obtain the derivative formulae of an extended Darboux frame field of a unit speed u-parameter curve Omega = Omega(u, v) for all v. Also, we get the geometric invariants k and h of the soliton surface Omega = Omega(u, v) and we obtain the Gaussian curvature, mean curvature vector and Gaussian torsion of Omega. We give some important geometric characterizations such as flatness, minimality and semi-umbilicaly with the aid of these invariants. Additionally, we study the curvature ellipse of the Betchov-Da Rios soliton surface and Wintgen ideal (superconformal) Betchov-Da Rios soliton surface with respect to an extended Darboux frame field. Finally, we construct an application for the Betchov-Da Rios soliton surface with the aid of an extended Darboux frame field.
dc.identifier.endpage92
dc.identifier.issn0034-4877
dc.identifier.issn1879-0674
dc.identifier.issue1
dc.identifier.startpage71
dc.identifier.urihttps://hdl.handle.net/20.500.12899/6228
dc.identifier.volume95
dc.identifier.wosWOS:001456807200001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofReports on Mathematical Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260612
dc.subjectBetchov-Da Rios Equation
dc.subjectExtended Darboux Frame
dc.subjectCurvature Ellipse
dc.subjectWintgen Inequality
dc.titleA GEOMETRIC APPLICATION OF SOLITON SURFACES ASSOCIATED WITH THE BETCHOV-DA RIOS EQUATION USING AN EXTENDED DARBOUX FRAME FIELD IN E4
dc.typeArticle

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