The Direct Monodromy Problem of Painleve-I

Abstract

The Painleve first equation can be represented as the equation of isomonodromic deformation of a Schrodinger equation with a cubic potential. We introduce a new algorithm for computing the direct monodromy problem for this Schrodinger equation. The algorithm is based on the geometric theory of Schrodinger equation due to Nevanlinna

11 pages, 2 figures; new introduction, some typos corrected

References in corpus (3)

• Poles of Integrale Tritronquee and Anharmonic Oscillators. A WKB Approach
• Poles of Integrale Tritronquee and Anharmonic Oscillators. Asymptotic localization from WKB analysis
• Y-System and Deformed Thermodynamic Bethe Ansatz