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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.
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https://hal.archives-ouvertes.fr/hal-00619670
Contributor : Vladimir Roubtsov Connect in order to contact the contributor
Submitted on : Tuesday, September 6, 2011 - 5:02:42 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:43 AM

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  • HAL Id : hal-00619670, version 1
  • ARXIV : 1007.4168

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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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