The Direct Monodromy Problem of Painleve-I

Details The Direct Monodromy Problem of Painleve-I The Direct Monodromy Problem of Painleve-I

2010-07-09

arxiv.org/abs/1007.1554v3

Mathematics

Classical Analysis and ODEs

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

Scientific paper

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

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