Hasimoto surfaces for two classes of curve evolution in Minkowski 3-space

Gurbuz N., Yoon D. W.

DEMONSTRATIO MATHEMATICA, vol.53, no.1, pp.277-284, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.1515/dema-2020-0019
  • Journal Name: DEMONSTRATIO MATHEMATICA
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Linguistic Bibliography, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.277-284
  • Keywords: Hasimoto surface, nonlinear Schrodinger equation, time evolution, BISHOP FRAME, ANHOLONOMY, MOTION
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this work, we study Hasimoto surfaces for the second and third classes of curve evolution corresponding to a Frenet frame in Minkowski 3-space. Later, we derive two formulas for the differentials of the second and third Hasimoto-like transformations associated with the repulsive-type nonlinear Schrodinger equation.