Reduction of the multidimensional d’Alembert equation to two-dimensional equations
We give a classification of the maximal subalgebras of rank $n - 1$ for the extended Poincare algebra $A\bar P (1.n)$, which is realized on the set of solutions of the d'Alembeit equation $\square u + \lambda u^k = 0$. These subalgebras are used for constructing the anzatses reducing this...
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| Дата: | 1994 |
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| Автори: | , , , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1994
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5692 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511921243947008 |
|---|---|
| author | Barannyk, A. F. Barannik, L. F. Fushchich, V. I. Баранник, А. Ф. Баранник, Л. Ф. Фущич, В. И. Баранник, А. Ф. Баранник, Л. Ф. Фущич, В. И. |
| author_facet | Barannyk, A. F. Barannik, L. F. Fushchich, V. I. Баранник, А. Ф. Баранник, Л. Ф. Фущич, В. И. Баранник, А. Ф. Баранник, Л. Ф. Фущич, В. И. |
| author_sort | Barannyk, A. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:03Z |
| description | We give a classification of the maximal subalgebras of rank $n - 1$ for the extended Poincare algebra
$A\bar P (1.n)$, which is realized on the set of solutions of the d'Alembeit equation $\square u + \lambda u^k = 0$. These subalgebras are used for constructing the anzatses reducing this equation to differential equations with
two invariant variables. |
| first_indexed | 2026-03-24T03:20:34Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5692 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:34Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d1/6a8470795b8f0d7090f03bd6f93409d1.pdf |
| spelling | umjimathkievua-article-56922020-03-19T09:16:03Z Reduction of the multidimensional d’Alembert equation to two-dimensional equations Редукция многомерного уравнения Даламбера к двумерным уравнениям Barannyk, A. F. Barannik, L. F. Fushchich, V. I. Баранник, А. Ф. Баранник, Л. Ф. Фущич, В. И. Баранник, А. Ф. Баранник, Л. Ф. Фущич, В. И. We give a classification of the maximal subalgebras of rank $n - 1$ for the extended Poincare algebra $A\bar P (1.n)$, which is realized on the set of solutions of the d'Alembeit equation $\square u + \lambda u^k = 0$. These subalgebras are used for constructing the anzatses reducing this equation to differential equations with two invariant variables. We give a classification of the maximal subalgebras of rank $n — 1$ for the extended Poincare algebra $A \widetilde{P}(1, n)$, which is realized on the set of solutions of the d'Alembeit equation $\Box u + \lambda u^k = 0$. These subalgebras are used for constructing the anzatses reducing this equation to differential equations with two invariant variables. Institute of Mathematics, NAS of Ukraine 1994-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5692 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 6 (1994); 651–662 Український математичний журнал; Том 46 № 6 (1994); 651–662 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5692/8069 https://umj.imath.kiev.ua/index.php/umj/article/view/5692/8070 Copyright (c) 1994 Barannyk A. F.; Barannik L. F.; Fushchich V. I. |
| spellingShingle | Barannyk, A. F. Barannik, L. F. Fushchich, V. I. Баранник, А. Ф. Баранник, Л. Ф. Фущич, В. И. Баранник, А. Ф. Баранник, Л. Ф. Фущич, В. И. Reduction of the multidimensional d’Alembert equation to two-dimensional equations |
| title | Reduction of the multidimensional d’Alembert equation to two-dimensional equations |
| title_alt | Редукция многомерного уравнения Даламбера к двумерным уравнениям |
| title_full | Reduction of the multidimensional d’Alembert equation to two-dimensional equations |
| title_fullStr | Reduction of the multidimensional d’Alembert equation to two-dimensional equations |
| title_full_unstemmed | Reduction of the multidimensional d’Alembert equation to two-dimensional equations |
| title_short | Reduction of the multidimensional d’Alembert equation to two-dimensional equations |
| title_sort | reduction of the multidimensional d’alembert equation to two-dimensional equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5692 |
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