Nonlinear Quasiclassics and the Painlevé Equations

Abstract

Problem of asymptotic description for global solutions to the six Painleve equations was investigated. Elliptic anzatzes and appropriate modulation equations were written out.

5 pp., Latex

Cited by in corpus (3)

• Classical limit of the Knizhnik-Zamolodchikov-Bernard equations as hierarchy of isomonodromic deformations. Free fields approach
• Spectral Curves and Whitham Equations in Isomonodromic Problems of Schlesinger Type
• Monodromy deformation approach to the scaling limit of the Painleve first equation