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arxiv: 1411.5717 · v1 · pith:YAI7LADGnew · submitted 2014-11-20 · 🧮 math-ph · math.MP· nlin.SI

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

classification 🧮 math-ph math.MPnlin.SI
keywords extendedhierarchyreducedsolutionarbitraryburyakcorrespondsderive
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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 $r=2$.

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