7 citations · 22 across the 9 of their papers we have counts for
10 papers
The Courant type algebroids, the coadjoint orbits and related integrable flows
Anatolij K. Prykarpatski, Victor A. Bovdi
Poisson structures related with the affine Courant type algebroid are analyzed, including \ those related with cotangent bundles on Lie group manifolds. A special attantion is paid…
The current algebra representations of quantum many-particle Schrödinger type Hamiltonian models, their factorized structure and integrability
D. Prorok, A. K. Prykarpatski
There is developed a current algebra representation scheme for reconstructing algebraically factorized quantum Hamiltonian and symmetry operators in the Fock type space and its app…
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…
On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems
Anatolij K. Prykarpatski
In this letter I analyze a covering jet manifold scheme, its relation to the invariant theory of the associated vector fields, and applications to the Lax-Sato-type integrability o…
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…
On the completely integrable Calogero type discretizations of nonlinear Lax integrable dynamical systems and the related Markov type co-adjoint orbits
Anatolij K. Prykarpatski
The Calogero type matrix discretization scheme is applied to constructing the Lax type integrable discretizations of one wide enough class of nonlinear integrable dynamical systems…
The classical Maxwell-Lorentz electrodynamics aspects of the electron inertia problem within the Feynman proper time paradigm
Anatolij K. Prykarpatsky, Nikolai N. Bogolubov
The Maxwell electromagnetic and the Lorentz type force equations are derived in the framework of the R. Feynman proper time paradigm and the related vacuum field theory approach. T…
Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach
Jan L. Cieśliński, Anatolij K. Prykarpatski
We investigate discretizations of the integrable discrete nonlinear Schrödinger dynamical system and related symplectic structures. We develop an effective scheme of invariant redu…
The Lax integrability of a two-component hierarchy of the Burgers type dynamical systems within asymptotic and differential-algebraic approaches
Denis L. Blackmore, Anatolij K. Prykarpatski, Emin Özçağ +1
The Lax type integrability of a two-component polynomial Burgers type dynamical system within a differential-algebraic approach is studied, its linear adjoint matrix Lax representa…
Differential-algebraic approach to constructing representations of commuting differentiations in functional spaces and its application to nonlinear integrable dynamical systems
Anatolij K. Prykarpatski, Emin Özçağ, Kamal Soltanov
There is developed a differential-algebraic approach to studying the representations of commuting differentiations in functional differential rings under nonlinear differential con…