Variations of $q$-Garnier system
Exactly Solvable and Integrable Systems
2018-04-04 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
We study several variants of q-Garnier system corresponding to various directions of discrete time evolutions. We also investigate a relation between the -Garnier system and Suzuki's higher order -Painlev/'e system by using a duality of the -KP system.
Cite
@article{arxiv.1710.03998,
title = {Variations of $q$-Garnier system},
author = {Hidehito Nagao and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:1710.03998},
year = {2018}
}
Comments
20 pages, 1 tables