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

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

2012-04-01

arxiv.org/abs/1204.0251v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages

Scientific paper

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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