Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems

Authors

Orest D. Artemovych, Politechnika Krakowska
Denis Blackmore, New Jersey Institute of Technology
Anatolij K. Prykarpatski, AGH University of Krakow

Document Type

Article

Publication Date

1-2-2017

Abstract

A general differential-algebraic approach is devised for constructing multi-component Hamiltonian operators as differentiations on suitably constructed loop Lie algebras. The related Novikov-Leibniz algebraic structures are presented and a new non-associative “Riemann” algebra is constructed, which is closely related to the infinite multi-component Riemann integrable hierarchies. A close relationship to the standard symplectic analysis techniques is also discussed.

Identifier

85007242123 (Scopus)

Publication Title

Journal of Nonlinear Mathematical Physics

External Full Text Location

https://doi.org/10.1080/14029251.2016.1274114

e-ISSN

17760852

ISSN

14029251

First Page

41

Last Page

72

Issue

1

Volume

24

Recommended Citation

Artemovych, Orest D.; Blackmore, Denis; and Prykarpatski, Anatolij K., "Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems" (2017). Faculty Publications. 9817.
https://digitalcommons.njit.edu/fac_pubs/9817