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On the linearization covering technique and its application to integrable nonlinear differential systems
Authors:
- Anatolij K. Prykarpatski
Abstract
In this letter I analyze a covering jet manifold scheme, its relation to the invariant theory of the associated vector elds, and applications to the Lax-Sato-type integrability of nonlinear dispersionless di erential systems. The related contact geometry linearization covering scheme is also discussed. The devised techniques are demonstrated for such nonlinear Lax-Sato integrable equations as Gibbons-Tsarev, ABC, Manakov-Santini and the di erential Toda singular manifold equations.
- Record ID
- CUT6da945db79ff4c01bd3303a96c44fd3a
- Publication categories
- ;
- Author
- Journal series
- Symmetry Integrability and Geometry-Methods and Applications, ISSN 1815-0659
- Issue year
- 2018
- Vol
- 14
- Pages
- [1-15]
- Article number
- 023
- Other elements of collation
- Bibliografia (na s.) - 14-15; Bibliografia (liczba pozycji) - 32; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 14
- Keywords in English
- covering jet manifold, linearization, Hamilton-Jacobi equations, Lax-Sato representation, ABC equation, Gibbons-Tsarev equation, Manakov-Santini equation, contact geometry, differential Toda singular manifold equations
- DOI
- DOI:10.3842/SIGMA.2018.023 Opening in a new tab
- URL
- https://www.emis.de/journals/SIGMA/2018/023/ Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 25
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT6da945db79ff4c01bd3303a96c44fd3a/
- URN
urn:pkr-prod:CUT6da945db79ff4c01bd3303a96c44fd3a
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