Higher order Painleve system of type D^{(1)}_{2n+2} arising from integrable hierarchy
Mathematical Physics
2007-05-23 v1 math.MP
Representation Theory
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.
Keywords
Cite
@article{arxiv.0704.2574,
title = {Higher order Painleve system of type D^{(1)}_{2n+2} arising from integrable hierarchy},
author = {Kenta Fuji and Takao Suzuki},
journal= {arXiv preprint arXiv:0704.2574},
year = {2007}
}
Comments
20 pages