Nonlinear chains and Painlevé equations
Abstract
ODE systems which define a periodically closed sequence of Bäcklund transformations (BT) and which are equivalent to the Painlevé equations P2- P6 are presented. Transformation properties of Painlevé equations can be easily derived from the discrete symmetries of these systems.
- Publication:
-
Physica D Nonlinear Phenomena
- Pub Date:
- June 1994
- DOI:
- 10.1016/0167-2789(94)90104-X
- Bibcode:
- 1994PhyD...73..335A