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

Mathematical Physics 2015-06-23 v1 math.MP Exactly Solvable and Integrable Systems

Abstract

We derive a particular solution of the extended rr-reduced KP hierarchy, which is specified by a generalized string equation. The work is a generalization to arbitrary r2r\geq 2 of Buryak's recent results of a solution to the extended open KdV hierarchy which corresponds to r=2r=2.

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Cite

@article{arxiv.1411.5717,
  title  = {The partition function of the extended $r$-reduced Kadomtsev-Petviashvili hierarchy},
  author = {Marco Bertola and Di Yang},
  journal= {arXiv preprint arXiv:1411.5717},
  year   = {2015}
}

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18 pages