Rational Solutions of the Sasano System of Type $A_5^{(2)}$

Abstract

In this paper, we completely classify the rational solutions of the Sasano system of type $A_5^{(2)}$, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry of type $A_5^{(2)}$.

References in corpus (7)

• Higher order Painlevé equations of type $A_l^{(1)}$
• Rational Solutions of the Painleve' VI Equation
• The Hamiltonian Structure of the Second Painleve Hierarchy
• An augmentation of the phase space of the system of type A^{(1)}_4
• Symmetries in the system of type $D_4^{(1)}$
• Rational solutions of the Noumi and Yamada system of type $A_4^{(1)}$
• Four-dimensional Painlevé systems of types $D_5^{(1)}$ and $B_4^{(1)}$