On Nonstationary Solutions to Yang–Mills Equations

Abstract

We study Yang–Mills fields with SU(2) symmetry generated by classical field sources. It is shown that in this case the Yang–Mills equations can be regarded as a reasonable nonlinear generalization of the equations of Maxwell’s electrodynamics. We seek new classes of solutions to the examined Yang–Mills equations and find their nontrivial solutions in the case of nonstationary spherically symmetric sources and a wide class of their non-Abelian wave solutions.