New Stokes curves of higher order Painlev\'e equations

               RIMS, Kyoto Univ.  Yukihiro Nishikawa


Abstract
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We study the WKB analysis of higher order Painlev\'e equations. These are the nonlinear ODEs which have their underlying Lax pairs. The configurations of the Stokes graphs of these Lax pairs imply the existence of the New Stokes curves of these nonlinear equations.