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

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

2010-02-13

arxiv.org/abs/1002.2685v3

Mathematics

Quantum Algebra

19 pages

Scientific paper

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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