Geodesic
Exact axially symmetric wave solutions of the Yang--Mills equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 2, pp. 243-248

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We find a class of exact axially symmetric wave solutions of the Yang–Mills equations with $SU(2)$ symmetry. The solutions in this class describe running waves propagating at the speed of light in a vacuum and contain two arbitrary differentiable functions of their phase. We consider properties of field sources that can generate such running waves.
Keywords: Yang–Mills equations, Yang–Mills field potentials, $SU(2)$ symmetry, axially symmetric wave solutions. 
@article{TMF_2006_148_2_a5,
     author = {A. S. Rabinovich},
     title = {Exact axially symmetric wave solutions of the {Yang--Mills} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {243--248},
     publisher = {mathdoc},
     volume = {148},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_148_2_a5/}
}
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A. S. Rabinovich. Exact axially symmetric wave solutions of the Yang--Mills equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 2, pp. 243-248. http://geodesic.mathdoc.fr/item/TMF_2006_148_2_a5/