DIFFERENTIAL GEOMETRIC ASPECTS OF NONLINEAR SCHRODINGER EQUATION
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main scope of this paper is to examine the smoke ring (or vortex flament) equation which can be viewed as a dynamical system on the space curve in E-3: The differential geometric properties the soliton surface associated with Nonlinear Schrodinger (NLS) equation, which is called NLS surface or Hasimoto surface, are investigated by using Darboux frame. Moreover, Gaussian and mean curvature of Hasimoto surface are found in terms of Darboux curvatures k(n), k(g) and tau(g). Then, we give a different proof of that the s-parameter curves of NLS surface are the geodesics of the soliton surface. As applications we examine two NLS surfaces with Darboux Frame.
Açıklama
Anahtar Kelimeler
Smoke Ring Equation, Vortex Flament Equation, Nls Surface, Darboux Frame
Kaynak
Communications Faculty Of Sciences University Of Ankara-Series A1 Mathematics And Statistics
WoS Q Değeri
Scopus Q Değeri
Cilt
70
Sayı
1
