On an extension of the generalized BGW tau-function

@article{Yang2020OnAE,
  title={On an extension of the generalized BGW tau-function},
  author={Di Yang and Chun Hui Zhou},
  journal={Letters in Mathematical Physics},
  year={2020},
  volume={111}
}
  • Di YangC. Zhou
  • Published 1 October 2020
  • Mathematics
  • Letters in Mathematical Physics
For an arbitrary solution to the Burgers–KdV hierarchy, we define the tau-tuple (τ1,τ2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\tau _1,\tau _2)$$\end{document} of the solution. We show that the product τ1τ2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts… 

Gelfand--Dickey hierarchy, generalized BGW tau-function, and $W$-constraints

Let r ≥ 2 be an integer. The generalized BGW tau-function for the Gelfand–Dickey hierarchy of (r − 1) dependent variables (aka the r-reduced KP hierarchy) is defined as a particular tau-function that

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