BILINEAR DISCRETE PAINLEVE EQUATIONS

Authors
RAMANI A GRAMMATICOS B SATSUMA J
Citation
A. Ramani et al., BILINEAR DISCRETE PAINLEVE EQUATIONS, Journal of physics. A, mathematical and general, 28(16), 1995, pp. 4655-4665
Citations number
24
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
16
Year of publication
1995
Pages
4655 - 4665
Database
ISI
SICI code
0305-4470(1995)28:16<4655:BDPE>2.0.ZU;2-L
Abstract
Based on the results of singularity confinement we derive bilinear exp ressions for the discrete Painleve equations. In these cases where a b ilinear expression is not sufficient we obtain trilinear or higher mul tilinear expressions. We show that the bilinear approach provides a na tural framework for the derivation of Backlund and Schlesinger transfo rms for the discrete Painleve equations.