AUTHOR=Gürbüz Nevin Ertuğ , Yoon Dae Won TITLE=Visco-Da Rios Equation in 3-Dimensional Riemannian Manifold JOURNAL=Frontiers in Physics VOLUME=9 YEAR=2022 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2021.810920 DOI=10.3389/fphy.2021.810920 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 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.