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

[摘要] 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.

[关键词] Casoratian;bilinear;rational solutions;H3;Q1