Rational Solutions of the H3 and Q1 Models in the ABS Lattice List
Ying Shi, Da-jun Zhang
TL;DR
This paper derives rational solutions for the H3 and Q1 models within the ABS lattice list using Casoratian forms, advancing the understanding of integrable lattice equations.
Contribution
It introduces Casoratian-based rational solutions for H3 and Q1 models, expanding the solution methods for these integrable lattice equations.
Findings
Rational solutions expressed in Casoratian form for H3 and Q1 models.
Solutions generated via difference equations satisfied by Casoratian vectors.
Enhances the solution repertoire for ABS lattice models.
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.
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