8 citations · 12 across the 8 of their papers we have counts for
8 papers
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.…
Statistically Optimal Strategy Analysis of a Competing Portfolio Market with a Polyvariant Profit Function
Bohdan Yu. Kyshakevych, Anatoliy K. Prykarpatsky, Denis Blackmore +1
A competing market model with a polyvariant profit function that assumes "zeitnot" stock behavior of clients is formulated within the banking portfolio medium and then analyzed fro…
A Borsuk-Ulam Type Generalization of the Leray-Schauder Fixed Point Theorem
Anatoliy K. Prykarpatsky
A generalization of the classical Leray-Schauder fixed point theorem, based on the in finite- dimensional Borsuk-Ulam type antipode construction, is proposed. Two completely differ…
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…