Thursday, March 15, 2012

1002.2685 (Takao Suzuki)

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

Takao Suzuki
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.
View original: http://arxiv.org/abs/1002.2685

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