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.