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A class of higher order Painlevé systems arising from integrable hierarchies of type 𝐴
Takao Suzuki
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Source: Crossref
Published: Jan 1, 2013
DOI: 10.1090/conm/593/11875
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A relationship between Painlevé systems and infinite-dimensional integrable hierarchies is studied. We derive a class of higher order Painlevé systems from Drinfeld-Sokolov (DS) hierarchies of type A A by similarity reductions. This result allows us to understand some properties of Painlevé systems, Hamiltonian structures, Lax pairs and affine Weyl group symmetries.
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