The Direct Monodromy Problem of Painleve-I
classification
🧮 math.CA
cs.NAhep-thmath-phmath.MPmath.NA
keywords
equationschrodingeralgorithmdirectmonodromyproblemcomputingcubic
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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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