The differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann type hierarchy revisited

Details The differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann type hierarchy revisited The differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann type hierarchy revisited

2011-08-01

arxiv.org/abs/1108.0878v5

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages

Scientific paper

A differential-algebraic approach to studying the Lax type integrability of
the generalized Riemann type hydrodynamic hierarchy is revisited, its new Lax
type representation and Poisson structures constructed in exact form. The
related bi-Hamiltonian integrability and compatible Poissonian structures of
the generalized Riemann type hierarchy are also discussed.

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