Geodesic
Reduction of the self-dual Yang–Mills equations on subgroups of the extended Poincaré group
Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 3, pp. 416-432 
V. I. Lahno; W. I. Fushchych. Reduction of the self-dual Yang–Mills equations on subgroups of the extended Poincaré group. Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 3, pp. 416-432. http://geodesic.mathdoc.fr/item/TMF_1997_110_3_a5/
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     author = {V. I. Lahno and W. I. Fushchych},
     title = {Reduction of the self-dual {Yang{\textendash}Mills} equations on subgroups of the extended {Poincar\'e} group},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1997_110_3_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We have obtained ansatzes for the vector-potential of the Yang–Mills field in the Minkowski space $R(1,3)$ invariant under 3-parameter subgroups of the extended Poincaré group $\widetilde P(1,3)$. Using these, we carry out symmetry reduction of the self-dual Yang–Mills equations to systems of ordinary differential equations.

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