Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II Equation
arXiv:1007.4168 · doi:10.1088/1751-8113/43/50/505204
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.
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)