Differential geometric approach of Betchov-Da Rios soliton equation

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dc.authoridYanlin Li: 0000-0003-1614-3228en_US
dc.authoridMelek Erdoğdu: 0000-0001-9610-6229en_US
dc.authoridAyşe Yavuz: 0000-0002-0469-3786en_US
dc.contributor.authorLi, Yanlin
dc.contributor.authorErdoğdu, Melek
dc.contributor.authorYavuz, Ayşe
dc.date.accessioned2023-05-18T08:27:55Z
dc.date.available2023-05-18T08:27:55Z
dc.date.issued2023en_US
dc.departmentNEÜ, Fen Fakültesi, Matematik ve Bilgisayar Bilimleri Bölümüen_US
dc.departmentNEÜ, Ahmet Keleşoğlu Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.descriptionMakaleen_US
dc.descriptionWOS:000964265900009en_US
dc.descriptionPubMed ID:35296227en_US
dc.description.abstractIn the present paper, we investigate differential geometric properties the soliton surface M associated with Betchov-Da Rios equation. Then, we give derivative formulas of Frenet frame of unit speed curve 4) = 4)(s, t) for all t. Also, we discuss the linear map of Weingarten type in the tangent space of the surface that generates two invariants: k and h. Moreover, we obtain the necessary and sufficient conditions for the soliton surface associated with Betchov-Da Rios equation to be a minimal surface. Finally, we examine a soliton surface associated with Betchov-Da Rios equation as an application. Mathematics Subject Classification (2020). 35Q55, 53A05en_US
dc.description.sponsorshipNational Natural Science Foundation of China (NSFC)en_US
dc.identifier.citationLi, Y., Erdoğdu, M., Yavuz, A. (2023). Differential geometric approach of Betchov-Da Rios soliton equation. Hacettepe Journal of Mathematics and Statistics, 52, 1, 114-125.en_US
dc.identifier.doi10.15672/hujms.1052831en_US
dc.identifier.endpage125en_US
dc.identifier.issn2651-477Xen_US
dc.identifier.issue1en_US
dc.identifier.pmid35296227en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage114en_US
dc.identifier.urihttp://dx.doi.org/10.15672/hujms.1052831
dc.identifier.urihttps://hdl.handle.net/20.500.12452/9644
dc.identifier.volume52en_US
dc.identifier.wosWOS:000964265900009en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHacettepe University Faculty of Scienceen_US
dc.relation.ispartofHacettepe Journal of Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBetchov-Da Rios Equationen_US
dc.subjectLocalized İnduction Equation (LIE)en_US
dc.subjectSmoke Ring Equationen_US
dc.subjectVortex Filament Equationen_US
dc.subjectNonlinear Schrodinger (NLS) Equationen_US
dc.titleDifferential geometric approach of Betchov-Da Rios soliton equationen_US
dc.typeArticleen_US

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