Isogonal Deformation of Discrete Plane Curves and Discrete Burgers Hierarchy

Autor:	Kajiwara, Kenji, Kuroda, Toshinobu, Matsuura, Nozomu
Rok vydání:	2015
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.04152 Zobrazit plný text záznamu View this record from Arxiv