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A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy
Authors:
- Anatolij M. Samoilenko,
- Yarema A. Prykarpatskyy,
- Denis Blackmore,
- Anatolij K. Prykarpatski
Abstract
The complete integrability of a generalized Riemann type hydrodynamic hierarchy is studied by means of a novel combination of symplectic and differential-algebraic tools. A compatible pair of polynomial Poissonian structures, a Lax representation and a related infinite hierarchy of conservation laws are constructed. The current investigation provides an interesting glimpse of what is apparently a far wider range of applications.
- Record ID
- CUT68535983800f49fca26877f6863078b1
- Publication categories
- ;
- Author
- Journal series
- Miskolc Mathematical Notes, ISSN 1787-2405, e-ISSN 1787-2413
- Issue year
- 2018
- Vol
- 19
- No
- 1
- Pages
- 555-567
- Other elements of collation
- Bibliografia (na s.) - 566-567; Bibliografia (liczba pozycji) - 16; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 19, No. 1
- Keywords in English
- Riemann type hydrodynamic hierachy, conservation laws, Lax type integrability, biHamiltonian structure, differential ideals, Lax-Noether equation, Poissonian structures
- DOI
- DOI:10.18514/MMN.2018.2338 Opening in a new tab
- URL
- http://mat76.mat.uni-miskolc.hu/mnotes/article/2338 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 15
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT68535983800f49fca26877f6863078b1/
- URN
urn:pkr-prod:CUT68535983800f49fca26877f6863078b1
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.