Conditional symmetry and reduction of differential equations with partial derivatives
We establish sufficient conditions of reduction of partial differential equations admitting nontrivial conditional symmetry. The results obtained generalize the classical conditions of reduction of differential equations by using group-invariant solutions. Some examples of reduction of systems of pa...
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| Date: | 1992 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8129 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512930202648576 |
|---|---|
| author | Fushchich , W. I. Zhdanov , R. Z. |
| author_facet | Fushchich , W. I. Zhdanov , R. Z. |
| author_sort | Fushchich , W. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-01-31T10:37:42Z |
| description | We establish sufficient conditions of reduction of partial differential equations admitting nontrivial conditional symmetry. The results obtained generalize the classical conditions of reduction of differential equations by using group-invariant solutions. Some examples of reduction of systems of partial differential equations both by number of independent and dependent variables are considered. |
| first_indexed | 2026-03-24T03:36:36Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8129 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:36:36Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/77/92f49b4e0f57fdd21fa8a4f44db09b77.pdf |
| spelling | umjimathkievua-article-81292024-01-31T10:37:42Z Conditional symmetry and reduction of differential equations with partial derivatives Умовна симетрія і редукція диференціальних рівнянь з частинними похідними Fushchich , W. I. Zhdanov , R. Z. - We establish sufficient conditions of reduction of partial differential equations admitting nontrivial conditional symmetry. The results obtained generalize the classical conditions of reduction of differential equations by using group-invariant solutions. Some examples of reduction of systems of partial differential equations both by number of independent and dependent variables are considered. Встановлені достатні умови редукції диференціальних рівнянь з частинними похідними, які мають нетривіальну умовну симетрію. Одержані результати узагальнюють класичні умови редукції диференціальних рівнянь за допомогою інваріантно-групових розв’язків. Розглянуто ряд прикладів редукції систем диференціальних рівнянь з частинними похідними за числом незалежних і залежних змінних. Institute of Mathematics, NAS of Ukraine 1992-08-03 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8129 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 7 (1992); 970-982 Український математичний журнал; Том 44 № 7 (1992); 970-982 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8129/9656 Copyright (c) 1992 W. I. Fushchich , R. Z. Zhdanov |
| spellingShingle | Fushchich , W. I. Zhdanov , R. Z. Conditional symmetry and reduction of differential equations with partial derivatives |
| title | Conditional symmetry and reduction of differential equations with partial derivatives |
| title_alt | Умовна симетрія і редукція диференціальних рівнянь з частинними похідними |
| title_full | Conditional symmetry and reduction of differential equations with partial derivatives |
| title_fullStr | Conditional symmetry and reduction of differential equations with partial derivatives |
| title_full_unstemmed | Conditional symmetry and reduction of differential equations with partial derivatives |
| title_short | Conditional symmetry and reduction of differential equations with partial derivatives |
| title_sort | conditional symmetry and reduction of differential equations with partial derivatives |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8129 |
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