Higher order Painleve system of type D^{(1)}_{2n+2} arising from integrable hierarchy

Details Higher order Painleve system of type D^{(1)}_{2n+2} arising from integrable hierarchy Higher order Painleve system of type D^{(1)}_{2n+2} arising from integrable hierarchy

2007-04-19

arxiv.org/abs/0704.2574v1

Physics

Mathematical Physics

20 pages

Scientific paper

A higher order Painleve system of type D^{(1)}_{2n+2} was introduced by Y.
Sasano. It is an extension of the sixth Painleve equation for the affine Weyl
group symmetry. It is also expressed as a Hamiltonian system of order 2n with a
coupled Painleve VI Hamiltonian. In this paper, we discuss a derivation of this
system from a Drinfeld-Sokolov hierarchy.

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