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

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.

References in corpus (2)

• Notes on solutions in Wronskian form to soliton equations: KdV-type
• Elliptic Solutions of ABS Lattice Equations

Cited by in corpus (2)

• Solutions to the ABS lattice equations via generalized Cauchy matrix approach
• Rational solutions to the ABS list: Degenerating approach