A GEOMETRIC APPLICATION OF SOLITON SURFACES ASSOCIATED WITH THE BETCHOV-DA RIOS EQUATION USING AN EXTENDED DARBOUX FRAME FIELD IN E4
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Betchov-Da Rios Equation, Extended Darboux Frame, Curvature Ellipse, Wintgen Inequality
Kaynak
Reports on Mathematical Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
95
Sayı
1
