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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| Datum: | 1995 |
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| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
1995
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| 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| _version_ | 1860511671559127040 |
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| author | Fushchich, V. I. Lagno, V. I. Zhdanov, R. Z. Фущич, В. І. Лагно, В. I. Жданов, Р. З. |
| author_facet | Fushchich, V. I. Lagno, V. I. Zhdanov, R. Z. Фущич, В. І. Лагно, В. I. Жданов, Р. З. |
| author_sort | Fushchich, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:28Z |
| description | 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. |
| first_indexed | 2026-03-24T03:16:36Z |
| format | Article |
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| id | umjimathkievua-article-5442 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:16:36Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/74/dcdb6f650fbee7a393d51b2052310274.pdf |
| spelling | umjimathkievua-article-54422020-03-19T08:59:28Z Reduction of the self-dual Yang-Mills equations I. Poincaré group Редукція самодуальних рівнянь Янга - Міллса. I. группа Пуанкаре Fushchich, V. I. Lagno, V. I. Zhdanov, R. Z. Фущич, В. І. Лагно, В. I. Жданов, Р. З. 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. Для вектор-потенціалу поля Янга - Міллса побудовано повний набір інваріантних відносно $Р(1, 3)$- нееквівалентних підгруп групи Пуанкаре анзаців, з використанням яких проведено редукцію самодуальних рівнянь Янга - Мілса до систем звичайних диференціальних рівнянь. Institute of Mathematics, NAS of Ukraine 1995-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5442 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 4 (1995); 456–462 Український математичний журнал; Том 47 № 4 (1995); 456–462 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5442/7573 https://umj.imath.kiev.ua/index.php/umj/article/view/5442/7574 Copyright (c) 1995 Fushchich V. I.; Lagno V. I.; Zhdanov R. Z. |
| spellingShingle | Fushchich, V. I. Lagno, V. I. Zhdanov, R. Z. Фущич, В. І. Лагно, В. I. Жданов, Р. З. Reduction of the self-dual Yang-Mills equations I. Poincaré group |
| title | Reduction of the self-dual Yang-Mills equations I. Poincaré group |
| title_alt | Редукція самодуальних рівнянь Янга - Міллса. I.
группа Пуанкаре |
| title_full | Reduction of the self-dual Yang-Mills equations I. Poincaré group |
| title_fullStr | Reduction of the self-dual Yang-Mills equations I. Poincaré group |
| title_full_unstemmed | Reduction of the self-dual Yang-Mills equations I. Poincaré group |
| title_short | Reduction of the self-dual Yang-Mills equations I. Poincaré group |
| title_sort | reduction of the self-dual yang-mills equations i. poincaré group |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5442 |
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