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

• Published in: Український математичний журнал
• Date: 1995
• Main Authors: Zhdanov, R.Z., Lahno, V.I., Fushchych, W.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1995
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165046
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Reduction of the self-dual Yang-Mills equations. I. The Poincaré group / R.Z. Zhdanov, V.I. Lahno, W.I. Fushchych // Український математичний журнал. — 1995. — Т. 47, № 4. — С. 456–462. — Бібліогр.: 8 назв. — англ.

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. Дл...