Geometry of the Solutions of Localized Induction Equation in the Pseudo-Galilean Space-Reference-Cited by-同舟云学术

Geometry of the Solutions of Localized Induction Equation in the Pseudo-Galilean Space

Published:2015 Issue: Volume:2015 Page:1-7
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Aydin Muhittin Evren¹,Mihai Adela²,Ogrenmis Alper Osman¹,Ergut Mahmut³

Affiliation:

1. Department of Mathematics, Faculty of Science, Firat University, 23200 Elazig, Turkey

2. Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania

3. Department of Mathematics, Faculty of Science and Letters, Namik Kemal University, 59030 Tekirdağ, Turkey

Abstract

We study the surfaces corresponding to solutions of the localized induction equation in the pseudo-Galilean spaceG31. We classify such surfaces with null curvature and characterize some special curves on these surfaces inG31.

Funder

German Academic Exchange Service

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2015/905978.pdf

Reference23 articles.

1. Magnetic vortex filament flows

2. Magnetic vortices

3. A soliton on a vortex filament

4. Helices, Hasimoto Surfaces and Bäcklund Transformations

5. Intrinsic Geometry of the NLS Equation and Its Auto‐Bäcklund Transformation

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