TITLE:
On New Solutions of Classical Yang-Mills Equations with Cylindrical Sources
AUTHORS:
Alexander S. Rabinowitch
KEYWORDS:
Yang-Mills Equations, Su(2) Symmetry, Source Currents, Field Strengths, Lightning, Exploding Wires
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.1,
June
2,
2010
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.