Conditional symmetry and new representations of the Galilean algebra for nonlinear parabolic equations
An efficient method for finding operators of conditional symmetry, which form a basis of the Galilean algebra, is suggested for a class of Galilei noninvariant parabolic equations. Additional conditions, under which the symmetry can be extended, are described. For the nonlinear equation under consid...
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| Date: | 1993 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5948 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512172693520384 |
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| author | Fushchich, V. I. Chopik, V. I. Фущич, В. І. Чопик, В. І. |
| author_facet | Fushchich, V. I. Chopik, V. I. Фущич, В. І. Чопик, В. І. |
| author_sort | Fushchich, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:21:43Z |
| description | An efficient method for finding operators of conditional symmetry, which form a basis of the Galilean algebra, is suggested for a class of Galilei noninvariant parabolic equations. Additional conditions, under which the symmetry can be extended, are described. For the nonlinear equation under consideration, the antireduction is realized and some exact solutions are found by using the conditional Galilei invariance of its differential consequences. |
| first_indexed | 2026-03-24T03:24:34Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5948 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:24:34Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/85/84de8ea682a333a2e3f66bc62120e285.pdf |
| spelling | umjimathkievua-article-59482020-03-19T09:21:43Z Conditional symmetry and new representations of the Galilean algebra for nonlinear parabolic equations Умовна симетрія та нові зображення алгебри Галілея для нелінійних рівнянь параболічного типу Fushchich, V. I. Chopik, V. I. Фущич, В. І. Чопик, В. І. An efficient method for finding operators of conditional symmetry, which form a basis of the Galilean algebra, is suggested for a class of Galilei noninvariant parabolic equations. Additional conditions, under which the symmetry can be extended, are described. For the nonlinear equation under consideration, the antireduction is realized and some exact solutions are found by using the conditional Galilei invariance of its differential consequences. Для класу Галілей-неінваріантних рівнянь параболічного типу запропоновано конструктивний метод знаходження операторів умовної симетрії, які утворюють базис алгебри Галілея. Описані додаткові умови, при яких можливе розширення симетрії. Проведено ангиредукцію, а також знайдені деякі точні розв’язки розглядуваного нелінійного рівняння, виходячи з умовної Галілей-інваріантності його диференціальних наслідків. Institute of Mathematics, NAS of Ukraine 1993-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5948 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 10 (1993); 1433–1443 Український математичний журнал; Том 45 № 10 (1993); 1433–1443 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5948/8579 https://umj.imath.kiev.ua/index.php/umj/article/view/5948/8580 Copyright (c) 1993 Fushchich V. I.; Chopik V. I. |
| spellingShingle | Fushchich, V. I. Chopik, V. I. Фущич, В. І. Чопик, В. І. Conditional symmetry and new representations of the Galilean algebra for nonlinear parabolic equations |
| title | Conditional symmetry and new representations of the Galilean algebra for nonlinear parabolic equations |
| title_alt | Умовна симетрія та нові зображення алгебри Галілея для нелінійних рівнянь параболічного типу |
| title_full | Conditional symmetry and new representations of the Galilean algebra for nonlinear parabolic equations |
| title_fullStr | Conditional symmetry and new representations of the Galilean algebra for nonlinear parabolic equations |
| title_full_unstemmed | Conditional symmetry and new representations of the Galilean algebra for nonlinear parabolic equations |
| title_short | Conditional symmetry and new representations of the Galilean algebra for nonlinear parabolic equations |
| title_sort | conditional symmetry and new representations of the galilean algebra for nonlinear parabolic equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5948 |
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