Visco-Da Rios Equation in 3-Dimensional Riemannian Manifold

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Gürbüz N. E., Yoon D. W.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3389/fphy.2021.810920
  • Dergi Adı: Frontiers in Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Anahtar Kelimeler: Da rios equation, hasimoto transformation, time evolution, schrodinger equation, backlund transformation, BINORMAL MOTION, SOLITON, CURVES, FLOWS
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.