Abstract
For the vector potential of the Yang-Mills field, we give a complete description of ansatzes invariant under three-parameterP (1, 3) -inequivalent subgroups of the Poincaré group. By using these ansatzes, we reduce the self-dual Yang-Mills equations to a system of ordinary differential equations.
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 456–462, April, 1995.
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Zhdanov, R.Z., Lakhno, V.I. & Fushchich, V.I. Reduction of the self-dual Yang-Mills equations I. Poincaré group. Ukr Math J 47, 528–536 (1995). https://doi.org/10.1007/BF01056038
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DOI: https://doi.org/10.1007/BF01056038