195 citations · 496 across the 30 of their papers we have counts for
Showing 2023Show all
2 papers · 1 filter
nlin.SI2023
Polynomial tau-functions of the n-th Sawada-Kotera hierarchy
Victor Kac, Johan Van de Leur
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 hiera…
math-ph2023
Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras
Victor Kac, Johan van de Leur
This, to a large extent, expository paper, describes the theory of multicomponent hierarchies of evolution equations of XKP type, where X=A, B, C or D, and AKP=KP, and their reduct…