B\"acklund Transformations for First and Second Painlev\'e Hierarchies
Exactly Solvable and Integrable Systems
2009-03-03 v1 Classical Analysis and ODEs
Abstract
We give B\"acklund transformations for first and second Painlev\'e hierarchies. These B\"acklund transformations are generalization of known B\"acklund transformations of the first and second Painlev\'e equations and they relate the considered hierarchies to new hierarchies of Painlev\'e-type equations.
Cite
@article{arxiv.0903.0342,
title = {B\"acklund Transformations for First and Second Painlev\'e Hierarchies},
author = {Ayman Hashem Sakka},
journal= {arXiv preprint arXiv:0903.0342},
year = {2009}
}