Differential geometric aspects of nonlinear Schrödinger equation

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:70 Issue:1
Differential geometric aspects of nonlinear Schrödinger equation

Differential geometric aspects of nonlinear Schrödinger equation

Authors : Melek ERDOĞDU, Ayşe YAVUZ

Pages : 510-521

Doi:10.31801/cfsuasmas.724634

View : 43 | Download : 13

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :The main scope of this paper is to examine the smoke ring insert ignore into journalissuearticles values(or vortex filament); equation which can be viewed as a dynamical system on the space curve in E³. The differential geometric properties the soliton surface accociated with Nonlinear Schrödinger insert ignore into journalissuearticles values(NLS); equation, which is called NLS surface or Hasimoto surface, are investigated by using Darboux frame. Moreover, Gaussian and mean curvature of Hasimoto surface are found in terms of Darboux curvatures k_{n}, k_{g} and τ_{g.}. Then, we give a different proof of that the s- parameter curves of NLS surface are the geodesics of the soliton surface. As applications we examine two NLS surfaces with Darboux Frame.
Keywords : Smoke ring equation, Vortex Filament equation, NLS surface, Darboux Frame

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.