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arXiv · 1002.2685

A class of higher order Painleve systems arising from integrable hierarchies of type A

Takao Suzuki
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Abstract

A relationship between Painleve systems and infinite-dimensional integrable hierarchies is studied. We derive a class of higher order Painleve systems from Drinfeld-Sokolov (DS) hierarchies of type A by similarity reductions. This result allows us to understand some properties of Painleve systems, Hamiltonian structures, Lax pairs and affine Weyl group symmetries.

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BibTeXRIS

Takao Suzuki. 2012-05-29. A class of higher order Painleve systems arising from integrable hierarchies of type A. https://arxiv.org/abs/1002.2685

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