Visco-Da Rios Equation in 3-Dimensional Riemannian Manifold

초록

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.

키워드