Polynomial tau-functions of the n-th Sawada-Kotera hierarchy

Author:

Victor Kac, Johan Van de Leur

Keyword:

Nonlinear Sciences, Exactly Solvable and Integrable Systems, Exactly Solvable and Integrable Systems (nlin.SI), High Energy Physics - Theory (hep-th), Mathematical Physics (math-ph)

journal:

date:

2023-12-01 00:00:00

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.

PDF: Polynomial tau-functions of the n-th Sawada-Kotera hierarchy.pdf