Journal
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
Volume 4, Issue 4, Pages 293-377Publisher
SPRINGER
DOI: 10.1023/A:1014265919008
Keywords
Painleve equation; elliptic function; isomonodromic deformation; Fuchsian system; connection problem; monodromy
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Funding
- Japan Society for the Promotion of Science (JSPS)
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In this paper we find a class of solutions of the sixth Painleve equation appearing in the theory of WDVV equations. This class covers almost all the monodromy data associated to the equation, except one point in the space of the data. We describe the critical behavior close to the critical points in terms of two parameters and we find the relation among the parameters at the different critical points (connection problem). We also study the critical behavior of Painleve transcendents in the elliptic representation.
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