Ying Shi, Da-jun Zhang, “Rational Solutions of the H3 and Q1 Models in the ABS Lattice List”, SIGMA, 2011, Volume 7,046, 11 pp.

This article is cited in 10 papers

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

Ying Shi, Da-jun Zhang

Department of Mathematics, Shanghai University, Shanghai 200444, P.R. China

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.

Keywords: Casoratian; bilinear; rational solutions; H3; Q1.

MSC: 37K10

Received: January 31, 2011; in final form May 4, 2011; Published online May 9, 2011

Language: English

DOI: 10.3842/SIGMA.2011.046