A different modelling of complex Hasimoto map for pseudo-null curves via Bishop frame
Complex Variables and Elliptic Equations, cilt.69, sa.3, ss.530-545, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 69 Sayı: 3
- Basım Tarihi: 2024
- Doi Numarası: 10.1080/17476933.2022.2151005
- Dergi Adı: Complex Variables and Elliptic Equations
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.530-545
- Anahtar Kelimeler: Complex Hasimoto map, Bishop frame of pseudo-null curve, Landau-Lifshitz system, vortex filament flow, complex vector field, visco model
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, we construct some links between visco model of motion and equations attained by taking geometric differential description of Hasimoto map of pseudo-null curves framed by the Bishop frame and some physical consequences. First, we find that the equations of Hasimoto transformation are occurred by adapting Hasimoto map for pseudo-null curves. Then, we investigate the correspondence of both the Landau–Lifshitz system and the vortex filament equation by means of the Hasimoto map of pseudo-null curves. Lastly, we portray the links of findings obtained by geometric physical issues. Finally, we simulate optical solutions with graphically physical constructions.