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29 March 2024
 
  » arxiv » math-ph/9908016

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Bi-differential calculus and the KdV equation
Aristophanes Dimakis ; Folkert Muller-Hoissen ;
Date 17 Aug 1999
Subject Mathematical Physics; Differential Geometry | math-ph math.DG math.MP
AbstractA gauged bi-differential calculus over an associative (and not necessarily commutative) algebra A is an N-graded left A-module with two covariant derivatives acting on it which, as a consequence of certain (e.g., nonlinear differential) equations, are flat and anticommute. As a consequence, there is an iterative construction of generalized conserved currents. We associate a gauged bi-differential calculus with the Korteweg-de-Vries equation and use it to compute conserved densities of this equation.
Source arXiv, math-ph/9908016
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