Nonlinear d'Alembert formula for discrete pseudospherical surfaces

JOURNAL OF GEOMETRY AND PHYSICS

卷:119

Article

Kobayashi, Shimpei¹ 

[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

关键词: Discrete differential geometry;    Pseudospherical surface;    Loop groups;    Integrable systems;   

DOI  :  10.1016/j.geomphys.2017.05.001

来源: Elsevier

【 摘 要 】

On the basis of loop group decompositions (Birkhoff decompositions), we give a discrete version of the nonlinear d'Alembert formula, a method of separation of variables of difference equations, for discrete constant negative Gauss curvature (pseudospherical) surfaces in Euclidean three space. We also compute two examples by this formula in detail. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free