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

Authors:
  • VRVladimir Retakh
    Vladimir Retakh
  • VRVladimir Rubtsov
    Vladimir Rubtsov
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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.