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On New Solutions of Classical Yang-Mills Equations with Cylindrical Sources
Department of Applied Mathematics, Moscow State University of Instrument Construction and Information Sciences,Moscow, Russia
- 1 Department of Applied Mathematics, Moscow State University of Instrument Construction and Information Sciences,Moscow, Russia
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Abstract
Strong fields generated by big electric currents are examined within the framework of the Yang-Mills nonlinear generalization of the Maxwell electrodynamics proposed in our earlier papers. First we consider the case of stationary currents and find a new exact solution to the Yang-Mills equations. Then we study a Yang-Mills field inside a thin circular cylinder with nonstationary plasma and find expressions for field strengths in it. Obtained results are applied to interpret several puzzling natural phenomena.
KeywordsYang-Mills EquationsSu(2) SymmetrySource CurrentsField StrengthsLightningExploding Wires
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