18 citations · 27 across the 8 of their papers we have counts for
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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…
Canonical Reduction of Symplectic Structures for the Maxwell and Yang-Mills Equations. Part 1
A. Samoilenko, A. Prykarpatsky, V. Samoylenko
The canonical reduction algorithm is applied to Maxwell and Yang-Mills equations considered as Hamiltonian systems on some fiber bundles with symplectic and connection structures.…