Isogonal Deformation of Discrete Plane Curves and Discrete Burgers Hierarchy
Exactly Solvable and Integrable Systems
2016-03-15 v2
Abstract
We study deformations of plane curves in the similarity geometry. It is known that continuous deformations of smooth curves are described by the Burgers hierarchy. In this paper, we formulate the discrete deformation of discrete plane curves described by the discrete Burgers hierarchy as isogonal deformations. We also construct explicit formulas for the curve deformations by using the solution of linear diffusion differential/difference equations.
Keywords
Cite
@article{arxiv.1511.04152,
title = {Isogonal Deformation of Discrete Plane Curves and Discrete Burgers Hierarchy},
author = {Kenji Kajiwara and Toshinobu Kuroda and Nozomu Matsuura},
journal= {arXiv preprint arXiv:1511.04152},
year = {2016}
}