Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II Equation
… This is a noncommutative development of an idea from [KM]. We start this paper by a
reminder of basic properties of quasideterminants, then construct solutions of the systems (0.1)
and (0.1’), then apply our results to noncommutative Painlevé II equations following the
approach by [KM]. Our paper shows that a theory of “pure” noncommutative Painlevé
equations and the related tau-functions can be rather rich and interesting. The Painlevé …
reminder of basic properties of quasideterminants, then construct solutions of the systems (0.1)
and (0.1’), then apply our results to noncommutative Painlevé II equations following the
approach by [KM]. Our paper shows that a theory of “pure” noncommutative Painlevé
equations and the related tau-functions can be rather rich and interesting. The Painlevé …
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.
arxiv.org
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