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This article gives explicit solutions to the Yang-Mills equations. The solutions have positive energy that can be made arbitrarily small by selection of a parameter showing that Yang-Mills field theor...
Symmetries of Self-Dual Yang-Mills Equations Dimensionally Reduced From (2,2) Space-time
Self-Dual Yang-Mills Equations Space-time
2010/12/22
We construct infinite-dimensional symmetries of the two dimensional equation which results from the dimensional reduction of the self-duality condition in (2, 2) signature space-time. These are symme...
Canonical reduction of the self-dual Yang-Mills equations to inhomogeneous nonlinear Schrodinger equation and exact solutions
Nonlinear evolution equations Yang-Mills theory
2010/9/14
The (constrained) canonical reduction of four-dimensional self-dual Yang-Mills theory to two-dimensional inhomogeneous nonlinear Schr¨odinger equation are considered. On the other hand, other methods ...