Multi-component universal character hierarchy and its polynomial tau-functions

In this paper, we find that the polynomial tau-function in terms of universal characters of the universal character(UC) hierarchy which can be treated as a zero mode of an appropriate combinatorial generating function. After that, we define a multi-component UC hierarchy and obtain polynomial tau-functions of the multi-component UC hierarchy. (C) 2022 Elsevier B.V. All rights reserved.

Automated summary

In this paper, the polynomial tau-function in terms of the universal characters of the universal character hierarchy is found, which can be treated as a zero mode of an appropriate combinatorial generating function. Furthermore, a multi-component UC hierarchy is defined and the polynomial tau-functions of the multi-component UC hierarchy are obtained.