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20 January 2020
  » arxiv » math-ph/9908015

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Bi-differential calculi and integrable models
Aristophanes Dimakis ; Folkert Muller-Hoissen ;
Date 11 Aug 1999
Subject Mathematical Physics; Exactly Solvable and Integrable Systems | math-ph gr-qc hep-th math.MP nlin.SI solv-int
AbstractThe existence of an infinite set of conserved currents in completely integrable classical models, including chiral and Toda models as well as the KP and self-dual Yang-Mills equations, is traced back to a simple construction of an infinite chain of closed (respectively, covariantly constant) 1-forms in a (gauged) bi-differential calculus. The latter consists of a differential algebra on which two differential maps act. In a gauged bi-differential calculus these maps are extended to flat covariant derivatives.
Source arXiv, math-ph/9908015
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