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.
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nullA. Rabinowitch, "On New Solutions of Classical Yang-Mills Equations with Cylindrical Sources," Applied Mathematics, Vol. 1 No. 1, 2010, pp. 1-7. doi: 10.4236/am.2010.11001.
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