Toward the Exact WKB Analysis for Higher-Order Painlevé Equations — The Case of Noumi–Yamada Systems

Abstract

As the first step toward the exact WKB analysis for higher-order Painlevé equations, we study the Stokes geometry of the Noumi–Yamada system. It is shown that there are intriguing relations, similar to those for traditional Painlevé equations, between the Stokes geometry of the Noumi–Yamada system and that of its underlying Lax pair.