Differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann hierarchy revisited
Yarema A. Prykarpatskyy | Orest D. Artemovych | Maxim V. Pavlov | Anatolij K. Prykarpatsky
English. A differential-algebraic approach to studying the Lax integrability of the generalized Riemann type hydrodynamic hierarchy is revisited and its new Lax representation is constructed in exact form. The bi-Hamiltonian integrability of the generalized Riemann type hierarchy is discussed by means of the gradient-holonomic and symplectic methods and the related compatible Poissonian structures for N = 3 and N = 4 are constructed
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