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arxiv: 1007.4168 · v4 · pith:BIGVWA6Xnew · submitted 2010-07-23 · 🧮 math-ph · math.MP· nlin.SI

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

classification 🧮 math-ph math.MPnlin.SI
keywords equationhankelnoncommutativepainlevquasideterminantstodaanaloguechains
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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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