Visco-Da Rios Equation in 3-Dimensional Riemannian Manifold

Nevin Ertuğ Gürbüz, Dae Won Yoon
2022 Frontiers in Physics  
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.
doi:10.3389/fphy.2021.810920 fatcat:iketzsm6uzfffj5ua4d6ypm6la