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

Published 23 Jul 2010 in math-ph, math.MP, and nlin.SI | (1007.4168v4)

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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