Abstract
We study non-Abelian expanding waves that can be radiated from various sources of Yang–Mills fields. We find a new class of exact wave solutions to the Yang–Mills equations. These solutions are constructed for any gauge group with a compact semi-simple Lie algebra and embrace asymmetrical cases of radiations of expanding waves. They can be regarded as a reasonable generalization of wave solutions of the Maxwell electrodynamics. It is of interest to apply the found solutions to detect cosmic sources of Yang–Mills fields. In the case of fields with SU(2) symmetry this could be realized by observing the interaction of such sources' radiation with neutrinos.
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