Rational Solutions to the ABS List: Transformation Approach
Exactly Solvable and Integrable Systems
2017-10-03 v3
Abstract
In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(), H3(), H2 and H1 in the Adler-Bobenko-Suris list. B\"acklund transformations between these lattice equations are used. All these rational solutions are related to a unified function in Casoratian form which obeys a bilinear superposition formula.
Cite
@article{arxiv.1702.01266,
title = {Rational Solutions to the ABS List: Transformation Approach},
author = {Danda Zhang and Da-Jun Zhang},
journal= {arXiv preprint arXiv:1702.01266},
year = {2017}
}