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

• Date: 1995
• Main Authors: Fushchich, V. I., Lagno, V. I., Zhdanov, R. Z., Фущич, В. І., Лагно, В. I., Жданов, Р. З.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5442
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.