Ordinary differential system in dinension six with affine Weyl group symmetry of type $D_4^{(2)}$

Abstract

We find a three-parameter family of ordinary differential systems in dimension six with affine Weyl group symmetry of type $D_4^{(2)}$. This is the second example which gave higher order Painlevé type systems of type $D_4^{(2)}$. We show that we give its symmetry and holomorphy conditions. These symmetries, holomorphy conditions and invariant divisors are new.

6 pages

References in corpus (1)

• Symmetries in the system of type $D_4^{(1)}$