Non-commutative q-Painleve VI equation
Exactly Solvable and Integrable Systems
2014-02-19 v2 Mathematical Physics
Dynamical Systems
math.MP
Abstract
By applying suitable centrality condition to non-commutative non-isospectral lattice modified Gel'fand-Dikii type systems we obtain the corresponding non-autonomous equations. Then we derive non-commutative q-discrete Painleve VI equation with full range of parameters as the (2,2) similarity reduction of the non-commutative, non-isospectral and non-autonomous lattice modified Korteweg-de Vries equation. We also comment on the fact that in making the analogous reduction starting from Schwarzian Korteweg-de Vries equation no such "non-isospectral generalization" is needed.
Keywords
Cite
@article{arxiv.1310.6890,
title = {Non-commutative q-Painleve VI equation},
author = {Adam Doliwa},
journal= {arXiv preprint arXiv:1310.6890},
year = {2014}
}
Comments
7 pages, 1 figure; introduction expanded (version 2)