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Preprints, Working Papers, ... Year : 2010

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

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.

Dates and versions

hal-00619670 , version 1 (06-09-2011)

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Vladimir Retakh, Vladimir Rubtsov. Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II Equation. 2010. ⟨hal-00619670⟩
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