Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II Equation
Mathematical Physics
2015-05-19 v4 math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct solutions of an infinite Toda system and an analogue of the Painlev'e II equation over noncommutative differential division rings in terms of quasideterminants of Hankel matrices.
Keywords
Cite
@article{arxiv.1007.4168,
title = {Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II Equation},
author = {Vladimir Retakh and Vladimir Rubtsov},
journal= {arXiv preprint arXiv:1007.4168},
year = {2015}
}
Comments
16 pp; final revised version, will appear in J.Phys. A, minor changes (typos corrected following the Referee's List, aknowledgements and a new reference added)