Visco-Da Rios Equation in 3-Dimensional Riemannian Manifold


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Gürbüz N. E., Yoon D. W.

Frontiers in Physics, vol.9, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9
  • Publication Date: 2022
  • Doi Number: 10.3389/fphy.2021.810920
  • Journal Name: Frontiers in Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Keywords: Da rios equation, hasimoto transformation, time evolution, schrodinger equation, backlund transformation, BINORMAL MOTION, SOLITON, CURVES, FLOWS
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

Copyright © 2022 Gürbüz and Yoon.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.