BETCHOV-DA RIOS EQUATION BY NULL CARTAN, PSEUDO NULL AND PARTIALLY NULL CURVE IN MINKOWSKI SPACETIME
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Korean Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The 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.
Açıklama
Anahtar Kelimeler
Betchov-Da Rios Equation, Localized Induction Equation (Lie), Null Cartan Curve, Pseudo Null Curve, Partially Null Curve, Minkowski Spacetime
Kaynak
Bulletin Of The Korean Mathematical Society
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
60
Sayı
5
