A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy
Document Type
Article
Publication Date
1-1-2018
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.
Identifier
85049135448 (Scopus)
Publication Title
Miskolc Mathematical Notes
External Full Text Location
https://doi.org/10.18514/MMN.2018.2338
e-ISSN
17872413
ISSN
17872405
First Page
555
Last Page
567
Issue
1
Volume
19
Grant
CMMI-1029809
Fund Ref
National Science Foundation
Recommended Citation
Samoilenko, Anatolij M.; Prykarpatskyy, Yarema A.; Blackmore, Denis; and Prykarpatski, Anatolij K., "A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy" (2018). Faculty Publications. 9033.
https://digitalcommons.njit.edu/fac_pubs/9033
