Cover Image

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...

Full description

Saved in:
Bibliographic Details
Date:1994
Main Authors: Barannyk, A. F., Barannik, L. F., Fushchich, V. I., Баранник, А. Ф., Баранник, Л. Ф., Фущич, В. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5692
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Ukrains’kyi Matematychnyi Zhurnal
Download file: Pdf

Institution

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 0001 0002 0003 0004 0005 0006 0007 0008 0009 0010 0011 0012
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
work_keys_str_mv AT barannykaf reductionofthemultidimensionaldalembertequationtotwodimensionalequations
AT baranniklf reductionofthemultidimensionaldalembertequationtotwodimensionalequations
AT fushchichvi reductionofthemultidimensionaldalembertequationtotwodimensionalequations
AT barannikaf reductionofthemultidimensionaldalembertequationtotwodimensionalequations
AT baranniklf reductionofthemultidimensionaldalembertequationtotwodimensionalequations
AT fuŝičvi reductionofthemultidimensionaldalembertequationtotwodimensionalequations
AT barannikaf reductionofthemultidimensionaldalembertequationtotwodimensionalequations
AT baranniklf reductionofthemultidimensionaldalembertequationtotwodimensionalequations
AT fuŝičvi reductionofthemultidimensionaldalembertequationtotwodimensionalequations
AT barannykaf redukciâmnogomernogouravneniâdalamberakdvumernymuravneniâm
AT baranniklf redukciâmnogomernogouravneniâdalamberakdvumernymuravneniâm
AT fushchichvi redukciâmnogomernogouravneniâdalamberakdvumernymuravneniâm
AT barannikaf redukciâmnogomernogouravneniâdalamberakdvumernymuravneniâm
AT baranniklf redukciâmnogomernogouravneniâdalamberakdvumernymuravneniâm
AT fuŝičvi redukciâmnogomernogouravneniâdalamberakdvumernymuravneniâm
AT barannikaf redukciâmnogomernogouravneniâdalamberakdvumernymuravneniâm
AT baranniklf redukciâmnogomernogouravneniâdalamberakdvumernymuravneniâm
AT fuŝičvi redukciâmnogomernogouravneniâdalamberakdvumernymuravneniâm

Similar Items