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nlin.SI2012★ 5 cited
On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System
Denis Blackmore, Yarema A. Prykarpatsky, Orest D. Artemowych +1
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 Poi…
nlin.SI2010★ 1 cited
The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure
D. Blackmore, A. K. Prykarpatsky
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.…