The partition function of the extended<i>r</i>-reduced Kadomtsev–Petviashvili hierarchy

Abstract

We derive a particular solution of the extended $r$-reduced KP hierarchy,\nwhich is specified by a generalized string equation. The work is a\ngeneralization to arbitrary $r\\geq 2$ of Buryak's recent results of a solution\nto the extended open KdV hierarchy which corresponds to $r=2$.\n