Discrete Integrable Equations over Finite Fields

Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion concerns a generalized discrete KdV equation related to a Yang-Baxter map. Explic...

Full description

Bibliographic Details
Main Authors: Masataka Kanki, Jun Mada, Tetsuji Tokihiro
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-08-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.054