18 citations · 81 across the 15 of their papers we have counts for
16 papers
Dispersionless Multi-Dimensional Integrable Systems and Related Conformal Structure Generating Equations of Mathematical Physics
Oksana Ye. Hentosh, Yarema A. Prykarpatsky, Denis Blackmore +1
Using diffeomorphism group vector fields on -multiplied tori and the related Lie-algebraic structures, we study multi-dimensional dispersionless integrable systems that…
The integrable heavenly type equations and their Lie-algebraic structure
O. Hentosh, Ya. A. Prykarpatsky, D. Blackmore +1
There are investigated the Lie algebraic structure and integrability properties of a very interesting class of nonlinear dynamical systems called the heavenly equations, which were…
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole type transformations
Denis Blackmore, Jolanta Golenia, Yarema A. Prykarpatsky +1
Invariant ergodic measures for generalized Boole type transformations are studied using an invariant quasi-measure generating function approach based on special solutions to the Fr…
On The Complete Integrability Of The Ostrovsky-Vakhnenko Equation
Yarema A. Prykarpatsky
The complete integrability of the Ostrovsky-Vakhnenko equation is studied by means of symplectic gradient-holonomic and differential-algebraic tools. A compatible pair of polynomia…
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…
The differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann type hierarchy revisited
Yarema A. Prykarpatsky, Orest D. Artemovych, Maxim V. Pavlov +1
A differential-algebraic approach to studying the Lax type integrability of the generalized Riemann type hydrodynamic hierarchy is revisited, its new Lax type representation and Po…