Посилання: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.
Підтримка:This paper is a contribution to the Proceedings of the Conference “Integrable Systems and Geometry” (August 12–17, 2010, Pondicherry University, Puducherry, India). The full collection is available at http://www.emis.de/journals/SIGMA/ISG2010.html.
The authors are very grateful to the referees for their invaluable comments. This project is
supported by the NSF of China (11071157) and Shanghai Leading Academic Discipline Project (No. J50101).
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.