The differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann type hierarchy revisited
arXiv:1108.0878 · doi:10.1063/1.4761821
Abstract
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.
18 pages
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