Visco-Da Rios Equation in 3-Dimensional Riemannian Manifold
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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

Da rios equationhasimoto transformationtime evolutionschrodinger equationbacklund transformationBINORMAL MOTIONSOLITONCURVESFLOWS
제목
Visco-Da Rios Equation in 3-Dimensional Riemannian Manifold
저자
Guerbuez, Nevin ErtugYoon, Dae Won
DOI
10.3389/fphy.2021.810920
발행일
2022-01
유형
Article
저널명
Frontiers in Physics
9