Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 7 (2011), 046, 11 pages      arXiv:1105.1583      https://doi.org/10.3842/SIGMA.2011.046
Contribution to the Proceedings of the Conference “Integrable Systems and Geometry”

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

Ying Shi and Da-jun Zhang
Department of Mathematics, Shanghai University, Shanghai 200444, P.R. China

Received January 31, 2011, in final form May 04, 2011; Published online May 09, 2011

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.

Key words: Casoratian; bilinear; rational solutions; H3; Q1.

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