Soliton Equations Extracted from the Noncommutative Zero-Curvature Equation
High Energy Physics - Theory
2009-11-07 v1
Abstract
We investigate the equation where the commutation relation in 2-dimensional zero-curvature equation composed of the algebra-valued potentials is replaced by the Moyal bracket and the algebra-valued potentials are replaced by the non-algebra-valued ones with two more new variables. We call the 4-dimensional equation the noncommutative zero-curvature equation. We show that various soliton equations are derived by the dimensional reduction of the equation.
Keywords
Cite
@article{arxiv.hep-th/0101067,
title = {Soliton Equations Extracted from the Noncommutative Zero-Curvature Equation},
author = {Takao Koikawa},
journal= {arXiv preprint arXiv:hep-th/0101067},
year = {2009}
}
Comments
18 pages