The partition function of the extended $r$-reduced Kadomtsev-Petviashvili hierarchy

Abstract

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 $r\ge 2$ of Buryak's recent results of a solution to the extended open KdV hierarchy which corresponds to $r=2$.

18 pages

References in corpus (2)

• Conjectural relations in the tautological ring of ${\bar{M}}_{g,n}$
• On a conjectural solution to open KdV and Virasoro

Cited by in corpus (8)

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• Topological Two-Dimensional Gravity on Surfaces with Boundary
• On affine coordinates of the tau-function for open intersection numbers
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