Journal
ALGEBRAIC AND GEOMETRIC ASPECTS OF INTEGRABLE SYSTEMS AND RANDOM MATRICES
Volume 593, Issue -, Pages 125-+Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/conm/593/11875
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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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