On symmetry analysis of differential systems on functional manifolds
Authors:
- Anatolij K. Prykarpatski
Abstract
In this short Letter there is successively sketched a classical E. Noether based analytical scheme of constructing the complete set of global conservation laws to a smooth vector field on a functional manifold. There is also described an analytical algorithm of constructing the complete set of differential conservation laws to a general smooth differential-functional system on a functional manifold with values in an arbitrary vector bundle. It is demonstrated that the algorithm reduces as a special case to that presented recently by C.S. Anco.
- Record ID
- CUTd151ad4cfb7c4c23a6a7892b96078035
- Publication categories
- ;
- Author
- Journal series
- Journal of Mathematical Analysis and Applications, ISSN 0022-247X, e-ISSN 1096-0813
- Issue year
- 2020
- Vol
- 490
- No
- 2
- Pages
- [1-8]
- Article number
- 124326
- Other elements of collation
- Bibliografia (na s.) - 7-8; Bibliografia (liczba pozycji) - 52; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 490, Iss. 2
- Keywords in English
- differential-functional system, functional manifold, adjoint-symmetry, hamiltonian, symmetry analysis, conservation law
- DOI
- DOI:10.1016/j.jmaa.2020.124326 Opening in a new tab
- URL
- https://www.sciencedirect.com/science/article/pii/S0022247X20304881 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 70
- Additional fields
- Indeksowana w: Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTd151ad4cfb7c4c23a6a7892b96078035/
- URN
urn:pkr-prod:CUTd151ad4cfb7c4c23a6a7892b96078035
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