20 citations · 38 across the 3 of their papers we have counts for
5 papers
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…
A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation
Yarema A. Prykarpatsky, Denis Blackmore, Jolanta Golenia +1
An approach based on the spectral and Lie - algebraic techniques for constructing vertex operator representation for solutions to a Riemann type Gurevicz-Zybin hydrodynamical hiera…
On a Nonlocal Ostrovsky-Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability
Jolanta Golenia, Maxim V. Pavlov, Ziemowit Popowicz +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…
The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2
J. Golenia, Y. A. Prykarpatsky, A. M. Samoilenko +1
The structure properties of multidimensional Delsarte transmutation operators in parametirc functional spaces are studied by means of differential-geometric tools. It is shown that…
The structure of Gelfand-Levitan-Marchenko type equations for Delsarte transmutation operators of linear multi-dimensional differential operators and operator pencils. Part 1
J. Golenia, A. K. Prykarpatsky, Y. A. Prykarpatsky
An analog of Gelfand-Levitan-Marchenko integral equations for multi- dimensional Delsarte transmutation operators is constructed by means of studying their differential-geometric s…