Motion and B\"acklund Transformations of Discrete Plane Curves
Exactly Solvable and Integrable Systems
2011-10-04 v3 Differential Geometry
Abstract
We construct explicit solutions to the discrete motion of discrete plane curves that has been introduced by one of the authors recently. Explicit formulas in terms the function are presented. Transformation theory of the motions of both smooth and discrete curves is developed simultaneously.
Keywords
Cite
@article{arxiv.1008.2808,
title = {Motion and B\"acklund Transformations of Discrete Plane Curves},
author = {Jun-ichi Inoguchi and Kenji Kajiwara and Nozomu Matsuura and Yasuhiro Ohta},
journal= {arXiv preprint arXiv:1008.2808},
year = {2011}
}
Comments
23 pages, 4 figures; Introduction has been revised. Errors have been fixed