NONNULL SOLITON SURFACE ASSOCIATED WITH THE BETCHOV-DA RIOS EQUATION
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The aim of this paper is to investigate the nonnull soliton surfaces associated with Betchov-Da Rios equation in Minkowski space-time. The differential geometric properties of these kind of nonnull soliton surfaces are examined with respect to the Lorentzian casual characterizations. Moreover, the linear maps of Weingarten type are obtained which are defined on tangent spaces of these soliton surfaces. Some new results are obtained by means of two geometric invariants ?? and h which are generated by linear maps of Weingarten type. Then, the mean curvature vector field and Gaussian curvature of the nonnull soliton surface are obtained. Finally, it is shown that this kind of soliton surface consists of flat points as a numerical example.
Açıklama
Anahtar Kelimeler
Betchov-Da Rios Equation, Localized Induction Equation (Lie), Smoke Ring Equation, Vortex Filament Equation, Nonlinear Schrodinger (Nls) Equation, Minkowski Space
Kaynak
Reports On Mathematical Physics
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
90
Sayı
2
