Rational solutions to the ABS list: Degenerating approach
Exactly Solvable and Integrable Systems
2017-03-20 v2
Abstract
In the paper we first construct rational solutions for the Nijhoff-Quispel-Capel (NQC) equation by means of bilinear method. These solutions can be transferred to those of Q3 equation in the Adler-Bobenko-Suris (ABS) list. Then making use of degeneration relation we obtain rational solutions for Q2, Q1, H3, H2 and H1. These rational solutions are in Casoratian form and the basic column vector satisfies an extended condition equation set.
Cite
@article{arxiv.1703.05669,
title = {Rational solutions to the ABS list: Degenerating approach},
author = {Song-lin Zhao and Da-jun Zhang},
journal= {arXiv preprint arXiv:1703.05669},
year = {2017}
}
Comments
19 pages,Typos corrected