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arxiv: 1204.0251 · v4 · pith:WLPTFR5Anew · submitted 2012-04-01 · 🌊 nlin.SI · math-ph· math.MP

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

classification 🌊 nlin.SI math-phmath.MP
keywords typecompletegeneralizedhydrodynamicintegrabilityriemannsystemcompatible
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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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