Published January 1, 2014 | Version v1
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Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type

  • 1. AGH Univ Sci & Technol, PL-30059 Krakow, Poland

Description

A differential-algebraic approach to studying the Lax integrability of a generalized Riemann type hydrodynamic hierarchy is revisited and a new Lax representation is constructed. The related bi-Hamiltonian integrability and compatible Poissonian structures of this hierarchy are also investigated using gradient-holonomic and geometric methods.

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