Bäcklund Transformations for First and Second Painlevé Hierarchies

We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the considered hierarchies to new hierarchies of Painlevé-type equations.

Bibliographic Details
Main Author: Ayman Hashem Sakka
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.024