Lax forms of the $q$-Painlev\'e equations
Exactly Solvable and Integrable Systems
2009-11-13 v1
Abstract
All -Painlev\'e equations which are obtained from the -analog of the sixth Painlev\'e equation are expressed in a Lax formalism. They are characterized by the data of the associated linear -difference equations. The degeneration pattern from the -Painlev\'e equation of type is also presented.
Cite
@article{arxiv.0810.0058,
title = {Lax forms of the $q$-Painlev\'e equations},
author = {Mikio Murata},
journal= {arXiv preprint arXiv:0810.0058},
year = {2009}
}
Comments
24 pages