Hasimoto surfaces for two classes of curve evolution in Minkowski 3-space
DEMONSTRATIO MATHEMATICA, cilt.53, sa.1, ss.277-284, 2020 (ESCI, Scopus)
- 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.