| Higher order Painleve system of type D^{(1)}_{2n+2} arising from integrable hierarchy (2007) | |||||||||
Abstract | |||||||||
| 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.. Comment: 20 pages | |||||||||
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