Visco-Da Rios Equation in 3-Dimensional Riemannian Manifold
Frontiers in Physics, cilt.9, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9
- Basım Tarihi: 2022
- Doi Numarası: 10.3389/fphy.2021.810920
- Dergi Adı: Frontiers in Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Anahtar Kelimeler: Da rios equation, hasimoto transformation, time evolution, schrodinger equation, backlund transformation, BINORMAL MOTION, SOLITON, CURVES, FLOWS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
Copyright © 2022 Gürbüz and Yoon.In this paper, we study two classes of a space curve evolution in terms of Frenet frame for the visco-Da Rios equation in a 3-dimensional Riemannain manifold. Also, we obtain the connection between the visco-Da Rios equation and nonlinear Schrödinger equation for two classes in a 3-dimensional Riemannain manifold with constant sectional curvature. Finally, we give the Bäcklund transformations of space curve with the visco-Da Rios equation.