The Direct Monodromy Problem of PainleveI
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
 Publication:

arXiv eprints
 Pub Date:
 July 2010
 arXiv:
 arXiv:1007.1554
 Bibcode:
 2010arXiv1007.1554M
 Keywords:

 Mathematics  Classical Analysis and ODEs;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Numerical Analysis;
 34M40;
 34M56;
 34K28
 EPrint:
 11 pages, 2 figures