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Visco-Da Rios Equation in 3-Dimensional Riemannian Manifoldopen access
- Authors
- Guerbuez, Nevin Ertug; Yoon, Dae Won
- Issue Date
- 31-Jan-2022
- Publisher
- FRONTIERS MEDIA SA
- Keywords
- Da rios equation; hasimoto transformation; time evolution; schrodinger equation; backlund transformation
- Citation
- FRONTIERS IN PHYSICS, v.9
- Indexed
- SCIE
SCOPUS
- Journal Title
- FRONTIERS IN PHYSICS
- Volume
- 9
- ISSN
- 2296-424X
- Abstract
- 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 Schrodinger equation for two classes in a 3-dimensional Riemannain manifold with constant sectional curvature. Finally, we give the Backlund transformations of space curve with the visco-Da Rios equation.
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