On New Solutions of Classical Yang-Mills Equations with Cylindrical Sources

• 作者: Alexander S. Rabinowitch
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: YANG-MILLS Equations SU(2) SYMMETRY Source CURRENTS Field Strengths LIGHTNING Exploding Wires
• 年，卷（期）: 2010,（1）
• 页码范围: 1-7
• 页数: 7页
• 分类号: O1

摘要

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.