On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System

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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Bibliographic Details
Published in:arXiv.org 2012-10
Main Authors: Blackmore, Denis, Prykarpatsky, Yarema A, Artemowych, Orest D, Prykarpatsky, Anatoliy K
Format: Article
Language:English
Subjects:
Conservation laws
Polynomials
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422