Reduction of the self-dual Yang-Mills equations I. Poincaré group

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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Bibliographische Detailangaben
Datum:1995
Hauptverfasser: Fushchich, V. I., Lagno, V. I., Zhdanov, R. Z., Фущич, В. І., Лагно, В. I., Жданов, Р. З.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1995
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5442
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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.