Soliton Equations Extracted from the Noncommutative Zero-Curvature Equation

Details Soliton Equations Extracted from the Noncommutative Zero-Curvature Equation Soliton Equations Extracted from the Noncommutative Zero-Curvature Equation

2001-01-11

arxiv.org/abs/hep-th/0101067v1

Prog.Theor.Phys. 105 (2001) 1045-1057

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1143/PTP.105.1045

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.

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