3 papers
nlin.SI2004
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…
math.SG2004
On the Lagrangian and Hamiltonian aspects of infinite -dimensional dynamical systems and their finite-dimensional reductions
Yarema A. Prykarpatsky, Anatoliy M. Samoilenko
A description of Lagrangian and Hamiltonian formalisms naturally arisen from the invariance structure of given nonlinear dynamical systems on the infinite--dimensional functional m…
math-ph2004★ 3 cited
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…