An extended analysis of links between linear differential equations and the nonlinear Painlevé equation PV 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.
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Research Article| September 21 2018
Antiquantization, isomonodromy, and integrability
Special Collection: In Memory of Ludwig Faddeev
Mikhail Babich, Sergey Slavyanov; Antiquantization, isomonodromy, and integrability. J. Math. Phys. 1 September 2018; 59 (9): 091416. https://doi.org/10.1063/1.5038062
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