New fractional nonlinear integrable Hamiltonian systems

Authors

Oksana Ye Hentosh, Institute for Applied Problems in Mechanics and Mathematics(IAPMM)
Bohdan Yu Kyshakevych, Drohobych Ivan Franko State Pedagogical University
Denis Blackmore, New Jersey Institute of Technology
Anatolij K. Prykarpatski, Politechnika Krakowska

Document Type

Article

Publication Date

2-1-2019

Abstract

We have constructed a new fractional pseudo-differential metrized operator Lie algebra on the axis, enabling within the general Adler–Kostant–Symes approach the generation of infinite hierarchies of integrable nonlinear differential-fractional Hamiltonian systems of Korteweg–de Vries, Schrödinger and Kadomtsev–Petviashvili types. Using the natural quasi-classical approximation of the metrized fractional pseudo-differential operator Lie algebra, we construct a new metrized fractional symbolic Lie algebra and related infinite hierarchies of integrable mutually commuting fractional symbolic Hamiltonian flows, modeling Benney type hydrodynamical systems.

Identifier

85052904233 (Scopus)

Publication Title

Applied Mathematics Letters

External Full Text Location

https://doi.org/10.1016/j.aml.2018.08.009

e-ISSN

18735452

ISSN

08939659

First Page

41

Last Page

49

Volume

88

Grant

F-2/370/2018/DS

Recommended Citation

Hentosh, Oksana Ye; Kyshakevych, Bohdan Yu; Blackmore, Denis; and Prykarpatski, Anatolij K., "New fractional nonlinear integrable Hamiltonian systems" (2019). Faculty Publications. 7818.
https://digitalcommons.njit.edu/fac_pubs/7818