%0 Journal Article
%T Discrete Integrable Equations over Finite Fields
%A Masataka Kanki
%A Jun Mada
%A Tetsuji Tokihiro
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2012
%I National Academy of Science of Ukraine
%X 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. Explicit forms of soliton solutions and their periods over finite fields are obtained. Relation to the singularity confinement method is also discussed.
%K integrable system
%K discrete KdV equation
%K finite field
%K cellular automaton
%U http://dx.doi.org/10.3842/SIGMA.2012.054