Higher order Painleve system of type D^{(1)}_{2n+2} and monodromy preserving deformation

Abstract

The higher order Painleve system of type D^{(1)}_{2n+2} was proposed by Y. Sasano as an extension of the sixth Painleve equation for the affine Weyl group symmetry with the aid of algebraic geometry for Okamoto initial value space. In this article, we give it as the monodromy preserving deformation of a Fuchsian system.

16 pages

References in corpus (2)

• Classification of Fuchsian systems and their connection problem
• A class of higher order Painleve systems arising from integrable hierarchies of type A

Cited by in corpus (1)

• Six-dimensional Painleve systems and their particular solutions in terms of hypergeometric functions