Published December 2001
| Version v1
Journal article
On the Critical Behavior, the Connection Problem and the Elliptic Representation of a Painleve VI Equation
Creators
- 1. Kyoto University, Research Institute for Mathematical Sciences (RIMS) (Japan)
Description
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
Additional details
Identifiers
Publishing Information
- Journal Title
- Mathematical Physics, Analysis and Geometry
- Journal Volume
- 4
- Journal Issue
- 4
- Journal Page Range
- p. 293-377
- ISSN
- 1385-0172
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39078179
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EQUATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE
- Descriptors DEC
- SPACE
Optional Information
- Copyright
- Copyright (c) 2001 Kluwer Academic Publishers