Noncommutative Korteweg-de-Vries Equation

Details Noncommutative Korteweg-de-Vries Equation Noncommutative Korteweg-de-Vries Equation

2000-07-10

arxiv.org/abs/hep-th/0007074v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 3 figures

Scientific paper

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.

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