Physics – Mathematical Physics
Scientific paper
2007-04-19
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.
Fuji Kenta
Suzuki Takao
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