18 citations · 36 across the 9 of their papers we have counts for
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On the Liouville-Arnold integrable flows related with quantum algebras and their Poissonian representations
A. M. Samoilenko, Y. A. Prykarpatsky, D. L. Blackmore +1
Based on the structure of Casimir elements associated with general Hopf algebras there are constructed Liouville-Arnold integrable flows related with naturally induced Poisson stru…
A survey of the spectral and differential geometric aspects of the De Rham-Hodge-Skrypnik theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems. Part 2
Y. A. Prykarpatsky, A. M. Samoilenko, A. K. Prykarpatsky
The differential-geometric and topological structure of Delsarte transmutation operators and associated with them Gelfand-Levitan-Marchenko type eqautions are studied making use of…
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 Delsarte-Darboux type binary transformations and their differential-geometric and operator structure. Part 1
Y. A. Prykarpatsky, A. M. Samoilenko, A. K. Prykarpatsky +1
The structure properties of multidimensional Delsarte-Darboux transmutation operators in parametric functional spaces is studied by means of differential-geometric and topological…
Differential-geometric and topological structure of multidimensional Delsarte transmutation operators
Yarema Prykarpatsky, Anatoliy Samoilenko, Anatoliy K. Prykarpatsky
A differential geometrical and topological structure of Delsarte transmutation operators in multidimension is studied, the relationships with De Rham-Hodge-Skrypnik theory of gener…