Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II Equation

Physics – Mathematical Physics

Scientific paper

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16 pp; final revised version, will appear in J.Phys. A, minor changes (typos corrected following the Referee's List, aknowledg

Scientific paper

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.

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