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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Shi, Y., Zhang, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147166
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Rational Solutions of the H3 and Q1 Models in the ABS Lattice List / Y. Shi, D. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 13 назв. — англ.

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.