MOTIONS OF CARTAN CURVES IN n-DIMENSIONAL MINKOWSKI SPACE-Reference-Cited by-同舟云学术

MOTIONS OF CARTAN CURVES IN n-DIMENSIONAL MINKOWSKI SPACE

Published:2013-08-26 Issue:27 Volume:28 Page:1350110
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

LI YAN-YAN¹²

Affiliation:

1. Institute of Modern Physics, Northwest University, Xi'an, 710069, P. R. China

2. Institute of Mathematics and Information Science, Xianyang Normal University, Xianyang, 712000, P. R. China

Abstract

Integrable systems satisfied by the curvatures of Cartan curves in Minkowski space under inextensible motions are identified. It is shown that motions of Cartan curves in three-, four- and n-dimensional (n > 4) Minkowski space are related to the KdV hierarchy, a coupled KdV system and a multi-component generalization of the coupled KdV system.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732313501101

Reference16 articles.

1. The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane

2. The KdV Equation and Motion of Plane Curves

3. Integrable equations arising from motions of plane curves

4. Integrable Equations Arising from Motions of Plane Curves. II

5. Integrable motions of space curves in affine geometry

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