loading page

On moving non-null space curves associated with Landau-Lifshitz Equation in Minkowski 3-Space
  • Alev Kelleci,
  • Zuhal Kucukarslan Yuzbasi,
  • Ebru Cavlak Aslan
Alev Kelleci
Firat Universitesi
Author Profile
Zuhal Kucukarslan Yuzbasi
Firat Universitesi
Author Profile
Ebru Cavlak Aslan
Firat Universitesi
Author Profile

Abstract

In that paper, firstly we get two additional different non-null space curve evolutions in Minkowski 3-space by considering Landau-Lifshitz (LL-) equation where we identify the spin vector with the binormal vector and the normal vector of these curves, respectively. Then, we obtain some links for constructing the moving non-null space curves by using the integrable LL- equation. Finally, we give as an application, the exact solution of the moving non-null curve evolutions obtained by taking the spin vector the normal vector of the curve and we showed graphically that these solutions are wave solutions.

Peer review status:UNDER REVIEW

11 Apr 2020Submitted to Mathematical Methods in the Applied Sciences
17 Apr 2020Assigned to Editor
17 Apr 2020Submission Checks Completed
08 Sep 2020Reviewer(s) Assigned