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Integrable Origins of Higher Order Painleve Equations

Exactly Solvable and Integrable Systems 2010-11-01 v1 Mathematical Physics math.MP
Authors: H. Aratyn , J. F. Gomes , A. H. Zimerman
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Abstract

Higher order Painleve equations invariant under extended affine Weyl groups An(1)A^{(1)}_n are obtained through self-similarity limit of a class of pseudo-differential Lax hierarchies with symmetry inherited from the underlying generalized Volterra lattice structure.

Keywords

higher order Painleve equations extended affine Weyl groups self-similarity limit pseudo-differential Lax hierarchies generalized Volterra lattice

Cite

@article{arxiv.1010.5725,
  title  = {Integrable Origins of Higher Order Painleve Equations},
  author = {H. Aratyn and J. F. Gomes and A. H. Zimerman},
  journal= {arXiv preprint arXiv:1010.5725},
  year   = {2010}
}

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18 pages Latex

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