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20 April 2024
 
  » arxiv » hep-th/0007074

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Noncommutative Korteweg-de-Vries Equation
Aristophanes Dimakis ; Folkert Muller-Hoissen ;
Date 10 Jul 2000
Subject High Energy Physics - Theory; Mathematical Physics; Exactly Solvable and Integrable Systems | hep-th math-ph math.MP nlin.SI
AbstractWe construct a deformation quantized version (ncKdV) of the KdV equation which possesses an infinite set of conserved densities. Solutions of the ncKdV are obtained from solutions of the KdV equation via a kind of Seiberg-Witten map. The ncKdV is related to a modified ncKdV equation by a noncommutative Miura transformation.
Source arXiv, hep-th/0007074
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