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Rational Solutions of the H3 and Q1 Models in the ABS Lattice List

arXiv:1105.1583 · doi:10.3842/SIGMA.2011.046

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.