Generalized Elastic Line, Differentials of Maps Connected with CNLSE via Conformal Derivative and Magnetic Curves for Darboux Frame
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, cilt.75, sa.2, ss.228-252, 2026 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 75 Sayı: 2
- Basım Tarihi: 2026
- Doi Numarası: 10.31801/cfsuasmas.1592170
- Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.228-252
- Anahtar Kelimeler: anholonomic coordinates, conformal magnetic curve, Darboux frame, generalized elastic line
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
In this paper, we study generalized elastic lines via the intrinsic directional derivatives for the Darboux frame in ℝ3. Subsequently, we investigate the congruences of surfaces associated with the Darboux frame in ℝ3. Furthermore, we establish the Darboux conformal derivative equations and conformal magnetic curves for the Darboux frame in ℝ3. Finally, we present formulas for conformal differentials of maps associated with the CNLSE for the Darboux frame in ℝ3.