New integrable differential-difference and fractional nonlinear dynamical systems and their algebro-analytical properties
Authors:
- Anatolij Prykarpatski
Abstract
A new metrized pseudo-difference operator algebra on the line is constructed that allows application of the Lie-algebraic Adler-Kostant-Symes approach to generate infinite hierar- chies of integrable nonlinear differential-difference Hamiltonian systems. It is shown that the metrized pseudo-difference operator algebra has a metrized fractional generalization, which can be used to construct new nonlinear fractional differential-difference hierar- chies of integrable Hamiltonian systems of Korteweg-de Vries, Nonlinear-Schrödinger and Kadomtsev-Petviashvili types.
- Record ID
- CUTe119dbb370f14771a8a305def557dd47
- Publication categories
- ;
- Author
- Journal series
- Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, e-ISSN 1878-7274
- Issue year
- 2018
- Vol
- 64
- Pages
- 256-268
- Other elements of collation
- Bibliografia (na s.) - 267-268; Bibliografia (liczba pozycji) - 44; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 64
- Keywords in English
- shift-operator algebra, quasi-derivation, pseudo-difference operator algebra, fractional pseudo-difference operator algebra, Adler-Kostant-Symes approach, Lie-Poisson structure, Casimir functionals, discrete Kortewed de-Vries type, Discrete nonlinear Schrödinger type equations
- DOI
- DOI:10.1016/j.cnsns.2018.04.025 Opening in a new tab
- URL
- https://www.sciencedirect.com/science/article/pii/S1007570418301369 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 45
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTe119dbb370f14771a8a305def557dd47/
- URN
urn:pkr-prod:CUTe119dbb370f14771a8a305def557dd47
* 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.