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A remark on a perturbed Benjamin-Bona-Mahony type equation and its complete integrability
Authors:
- Myroslava I Vovk,
- Petro Ya Pukach,
- Anatolij K Prykarpatski
Abstract
In the Letter, we study a perturbed Benjamin-Bona-Mahony nonlinear equation, which was derived for describing shallow water waves and possessing a rich Lie symmetry structure. Based on the gradient-holonomic integrability checking scheme applied to this equation, we have analytically constructed its infinite hierarchy of conservation laws, derived two compatible Poisson structure and stated its complete integrability.
- Record ID
- CUT0861e0ed6f944f2699e8fa64afd43633
- Publication categories
- ;
- Author
- Journal series
- Annals of Mathematics and Physics, ISSN 2689-7636
- Issue year
- 2023
- Vol
- 6
- No
- 1
- Pages
- 022-025
- Article number
- AMP-6-171
- Other elements of collation
- Bibliografia (na s.) - 025; Bibliografia (liczba pozycji) - 21; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 6, Iss. 1
- Keywords in English
- Benjamin-Bona-Mahony equation, nonlinear equation
- DOI
- DOI:10.17352/amp.000071 Opening in a new tab
- URL
- https://www.peertechzpublications.org/journals/annals-of-mathematics-and-physics/articles/volume-6/issue-1 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 5
- Score source
- journalList
- Score
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT0861e0ed6f944f2699e8fa64afd43633/
- URN
urn:pkr-prod:CUT0861e0ed6f944f2699e8fa64afd43633
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