Noncommutative Korteweg-de-Vries Equation

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We 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.
10 pages, 3 figures

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High Energy Physics - Theory, Mathematical Physics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/50122

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0007074
 http://arxiv.org/abs/hep-th/0007074

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arXiv