The partition function of the extended $r$-reduced   Kadomtsev-Petviashvili hierarchy
  We derive a particular solution of the extended $r$-reduced KP hierarchy, which is specified by a generalized string equation. The work is a generalization to arbitrary $r\geq 2$ of Buryak's recent results of a solution to the extended open KdV hierarchy which corresponds to $r=2$. 
Marco Bertola, Di Yang
math-ph math.MP nlin.SI