Characteristic Algebras of Fully Discrete Hyperbolic Type Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2005
• Main Author: Habibullin, I.T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209337
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Characteristic Algebras of Fully Discrete Hyperbolic Type Equations / I.T. Habibullin // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 8 назв. — англ.

The notion of the characteristic Lie algebra of the discrete hyperbolic type equation is introduced. An effective algorithm to compute the algebra for the equation given is suggested. Examples and further applications are discussed.