Polynomial tau-functions of the n-th Sawada-Kotera hierarchy
Exactly Solvable and Integrable Systems
2024-02-14 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We find all polynomial tau-functions of the n-th reduced BKP hierarchy (=n-th Sawada-Kotera hierarchy). The name comes from the fact that for n=3 the simplest equation of the hierarchy is the famous Sawada-Kotera equation.
Keywords
Cite
@article{arxiv.2312.00602,
title = {Polynomial tau-functions of the n-th Sawada-Kotera hierarchy},
author = {Victor Kac and Johan Van de Leur},
journal= {arXiv preprint arXiv:2312.00602},
year = {2024}
}
Comments
13 pages, no figures Revised version. There was a mistake in some arguments. We have corrected this. The main Theorem is corrected