Noncommutative Korteweg-de-Vries Equation
High Energy Physics - Theory
2007-05-23 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0007074,
title = {Noncommutative Korteweg-de-Vries Equation},
author = {Aristophanes Dimakis and Folkert Muller-Hoissen},
journal= {arXiv preprint arXiv:hep-th/0007074},
year = {2007}
}
Comments
10 pages, 3 figures