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math-ph2012★ 1 cited
The Lagrangian and Hamiltonian Aspects of the Electrodynamic Vacuum-Field Theory Models
Nikolai N. Bogolubov, Denis Blackmore, Anatolij K. Prykarpatsky
We review the modern classical electrodynamics problems and present the related main fundamental principles characterizing the electrodynamical vacuum-field structure. We analyze t…
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…