A new version of the motion equations of pseudo null curves with compatible Hasimoto map
Optical and Quantum Electronics, cilt.55, sa.1, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 55 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.1007/s11082-022-04225-2
- Dergi Adı: Optical and Quantum Electronics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
- Anahtar Kelimeler: Soliton equation theory, Hasimoto map, Landau-Lifshitz system, Vortex filament flow, Conformable derivative
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this manuscript, we study links between nonlinear equations of motion and equations attained by taking geometric differential description of Hasimoto map of pseudo null curves and some physical consequences. First, we find the equations of Hasimoto transformation occurred by adapting Hasimoto map for pseudo null curves. Then, we investigate the correspondence of both Landau-Lifshitz system and vortex filament equation by means of the Hasimoto map of pseudo null curves. Moreover, we design the links of findings obtained by geometric physical issues. Finally, optical solutions are simulated by graphically physical constructions with Khater method to obtain optical solutions of fractional order differential equations.