Geodesic
Solutions of Yang--Mills and Yang--Mills--Higgs equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 89 (1991) no. 3, pp. 402-412

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The Yang–Mills (YM) and Yang–Mills–Higgs (YMH) models are considered for arbitrary semisimple gauge Lie groups $G$. Ansatzes are introduced that reduce the YM and YMH equations to the equations of the model of a scalar field and ordinary differential equations (Nahm equations). With each solution of these equations there is associated a solution of the YM equations of instanton type or a solution of the YMH equations of monopole type. Solutions for the groups SU(2) and SU(3) are given as examples. 
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     author = {A. D. Popov},
     title = {Solutions of {Yang--Mills} and {Yang--Mills--Higgs} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. D. Popov. Solutions of Yang--Mills and Yang--Mills--Higgs equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 89 (1991) no. 3, pp. 402-412. http://geodesic.mathdoc.fr/item/TMF_1991_89_3_a6/