Symmetry algebras of linear differential equations

Symmetry algebras of linear differential equations

Bibliographic Details
Parent link:Theoretical and Mathematical Physics: Scientific Journal
Vol. 92, iss. 1.— 1992.— [P. 697-703]
Main Author: Shapovalov A. V. Aleksandr Vasilyevich
Other Authors: Shirokov I. V.
Summary:Title screen
The local symmetries of linear differential equations are investigated by means of proven theorems on the structure of the algebra of local symmetries of translationally and dilatationally invariant differential equations. For a nonparabolic second-order equation, the absence of nontrivial nonlinear local symmetries is proved. This means that the local symmetries reduce to the Lie algebra of linear differential symmetry operators. For the Laplace—Beltrami equation, all local symmetries reduce to the enveloping algebra of the algebra of the conformal group
Режим доступа: по договору с организацией-держателем ресурса
Language:English
Published: 1992
Subjects:
электронный ресурс
труды учёных ТПУ
Online Access:http://link.springer.com/article/10.1007%2FBF01018697
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636618

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