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.
Cite this article
Yoshitsugu Takei, Toward the Exact WKB Analysis for Higher-Order Painlevé Equations — The Case of Noumi–Yamada Systems. Publ. Res. Inst. Math. Sci. 40 (2004), no. 3, pp. 709–730DOI 10.2977/PRIMS/1145475490