Hasimoto surfaces for two classes of curve evolution in Minkowski 3-space

Gurbuz N., Yoon D. W.

DEMONSTRATIO MATHEMATICA, cilt.53, sa.1, ss.277-284, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1515/dema-2020-0019
  • Dergi Adı: DEMONSTRATIO MATHEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Linguistic Bibliography, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.277-284
  • Anahtar Kelimeler: Hasimoto surface, nonlinear Schrodinger equation, time evolution, BISHOP FRAME, ANHOLONOMY, MOTION
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this work, we study Hasimoto surfaces for the second and third classes of curve evolution corresponding to a Frenet frame in Minkowski 3-space. Later, we derive two formulas for the differentials of the second and third Hasimoto-like transformations associated with the repulsive-type nonlinear Schrodinger equation.