Motion of Inextensible Quaternionic Curves and Modified Korteweg-de Vries Equation

Eren, Kemal

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dc.contributor.authors	Eren, Kemal
dc.date.accessioned	2022-12-20T13:25:10Z
dc.date.available	2022-12-20T13:25:10Z
dc.date.issued	2022
dc.identifier.issn	1224-1784
dc.identifier.uri	http://dx.doi.org/10.2478/auom-2022-0020
dc.identifier.uri	https://hdl.handle.net/20.500.12619/99225
dc.description	Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir.
dc.description.abstract	Many curve evolutions have been determined which are integrable in recent times. The motion of curves can be defined by certain integrable equations including the modified Korteweg-de Vries. In this study, the quaternionic curves in 3 and 4-dimensional Euclidean spaces have been considered and the motions of inextensible quaternionic curves have been characterized by the modified Korteweg-de Vries (mKdV) equations. For this purpose, the basic concepts of the quaternions and quaternionic curves have been summarized. Then the evolutions of inextensible quaternionic curves with reference to the Frenet formulae have been obtained. Finally, the mKdV equations have been generated with the help of their evolutions
dc.language	English
dc.language.iso	eng
dc.relation.isversionof	10.2478/auom-2022-0020
dc.subject	Mathematics
dc.subject	Modified Korteweg-de Vries equation
dc.subject	quaternionic curve
dc.subject	evolution curve
dc.subject	inextensible curve
dc.title	Motion of Inextensible Quaternionic Curves and Modified Korteweg-de Vries Equation
dc.identifier.volume	30
dc.identifier.startpage	91
dc.identifier.endpage	101
dc.relation.journal	ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
dc.identifier.issue	2
dc.identifier.doi	10.2478/auom-2022-0020
dc.identifier.eissn	1844-0835
dc.contributor.author	Eren, Kemal
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı