An extended analysis of links between linear differential equations and the nonlinear Painlevé equation P V I is given. For linear equations, second-order equations in different forms, as well as various first-order systems, are chosen. The role of an accessory parameter is explained. The relationship to the Schlesinger system is made clear.
|Translated title of the contribution||Антиквантование, изомонодромия и интегрируемость.: Посвящается памяти Людвига Фаддеева.|
|Number of pages||11|
|Journal||Journal of Mathematical Physics|
|State||Published - 1 Sep 2018|
Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics