Lax pairs for additive difference Painlev\'e equations
Exactly Solvable and Integrable Systems
2016-04-13 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
A Lax pair for the additive difference Painlev\'e equation of type is explicitly obtained as certain linear difference equations of scalar form. The compatibility of the Lax pair is proved by using certain characterization of the coefficients in the Lax equation. Some Lax pairs for types , and are also given by the degeneration.
Cite
@article{arxiv.1604.02530,
title = {Lax pairs for additive difference Painlev\'e equations},
author = {Hidehito Nagao},
journal= {arXiv preprint arXiv:1604.02530},
year = {2016}
}
Comments
9 pages, 2 figures, 1 table