Symmetry algebras of linear differential equations
| Parent link: | Theoretical and Mathematical Physics: Scientific Journal Vol. 92, iss. 1.— 1992.— [P. 697-703] |
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| Main Author: | |
| Other Authors: | |
| 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
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| Subjects: | |
| 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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| 200 | 1 | |a Symmetry algebras of linear differential equations |f A. V. Shapovalov, I. V. Shirokov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 703 (18 tit.)] | ||
| 330 | |a 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 | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Theoretical and Mathematical Physics |o Scientific Journal | ||
| 463 | |t Vol. 92, iss. 1 |v [P. 697-703] |d 1992 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Shapovalov |b A. V. |c mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1949- |g Aleksandr Vasilyevich |3 (RuTPU)RU\TPU\pers\31734 | |
| 701 | 1 | |a Shirokov |b I. V. | |
| 801 | 2 | |a RU |b 63413507 |c 20180306 |g RCR | |
| 856 | 4 | |u http://link.springer.com/article/10.1007%2FBF01018697 | |
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