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, vol.75, no.2, pp.228-252, 2026 (ESCI, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 75 Issue: 2
- Publication Date: 2026
- Doi Number: 10.31801/cfsuasmas.1592170
- Journal Name: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.228-252
- Keywords: anholonomic coordinates, conformal magnetic curve, Darboux frame, generalized elastic line
- Open Archive Collection: AVESIS Open Access Collection
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
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.