English

Higher order Painleve system of type D^{(1)}_{2n+2} and monodromy preserving deformation

Classical Analysis and ODEs 2012-05-29 v4

Abstract

The higher order Painleve system of type D^{(1)}_{2n+2} was proposed by Y. Sasano as an extension of the sixth Painleve equation for the affine Weyl group symmetry with the aid of algebraic geometry for Okamoto initial value space. In this article, we give it as the monodromy preserving deformation of a Fuchsian system.

Keywords

Cite

@article{arxiv.1011.0276,
  title  = {Higher order Painleve system of type D^{(1)}_{2n+2} and monodromy preserving deformation},
  author = {Kenta Fuji and Keisuke Inoue and Keisuke Shinomiya and Takao Suzuki},
  journal= {arXiv preprint arXiv:1011.0276},
  year   = {2012}
}

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16 pages