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28 March 2024
 
  » arxiv » nlin/0603018

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Functional representations of integrable hierarchies
Aristophanes Dimakis ; Folkert Muller-Hoissen ;
Date 11 Mar 2006
Subject Exactly Solvable and Integrable Systems; Mathematical Physics
AbstractWe consider a general framework for integrable hierarchies in Lax form and derive certain universal equations from which `functional representations’ of particular hierarchies (like KP, discrete KP, mKP, AKNS), i.e. formulations in terms of functional equations, are systematically and quite easily obtained. The formalism genuinely applies to hierarchies where the dependent variables live in a noncommutative (typically matrix) algebra. The obtained functional representations can be understood as `noncommutative’ analogs of `Fay identities’ for the KP hierarchy.
Source arXiv, nlin/0603018
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