On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System
Exactly Solvable and Integrable Systems
2012-10-05 v4 Mathematical Physics
math.MP
Abstract
The complete integrability of a generalized Riemann type hydrodynamic system is studied by means of symplectic and differential-algebraic tools. A compatible pair of polynomial Poissonian structures, Lax type representation and related infinite hierarchy of conservation laws are constructed.
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Cite
@article{arxiv.1204.0251,
title = {On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System},
author = {Denis Blackmore and Yarema A. Prykarpatsky and Orest D. Artemowych and Anatoliy K. Prykarpatsky},
journal= {arXiv preprint arXiv:1204.0251},
year = {2012}
}
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8 pages