Symmetry, Integrability and Geometry: Methods and Applications (May 2011)
Rational Solutions of the H3 and Q1 Models in the ABS Lattice List
Abstract
In the paper we present rational solutions for the H3 and Q1 models in the Adler-Bobenko-Suris lattice list. These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vector.
