Coupled Painleve VI system with E_6^{(1)} symmetry

Abstract

We present an new system of ordinary differential equations with affine Weyl group symmetry of type E_6^{(1)}. This system is expressed as a Hamiltonian system of sixth order with a coupled Painleve VI Hamiltonian.

14 pages

References in corpus (2)

• Higher order Painlevé equations of type $A_l^{(1)}$
• Birational Weyl group action arising from a nilpotent Poisson algebra