2 citations · 3 across the 3 of their papers we have counts for
3 papers
Introductive Backgrounds of Modern Quantum Mathematics with Application to Nonlinear Dynamical Systems
Anatoliy K. Prykarpatsky, Nikolai N. Bogolubov, Jolanta Golenia +1
Introductive backgrounds of a new mathematical physics discipline - Quantum Mathematics - are discussed and analyzed both from historical and analytical points of view. The magic p…
A Symplectic Generalization of the Peradzynski Helicity Theorem and Some Applications
Anatoliy K. Prykarpatsky, Nikolai N. Bogoliubov, Jolanta Golenia
Symplectic and symmetry analysis for studying MHD superfluid flows is devised, a new version of the Z. Peradzynski helicity theorem based on differential - geometric and group-theo…
Analytical Properties of an Ostrovsky-Whitham Type Dynamical System for a Relaxing Medium with Spatial Memory and its Integrable Regularization
Nikolai Bogolubov, Anatoliy Prykarpatsky, Ilona Gucwa +1
Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-hol…