A.K. Prykarpatski, Prykarpatski A.K., Anatolij Prykarpatski, Anatoliy K. Prykarpatsky, Анатолий
A.K. Prykarpatski, Prykarpatski A.K., Anatolij Prykarpatski, Anatoliy K. Prykarpatsky, Анатолий
Department of Physics, Mathematics and Computer Science at the Ivan Franko Pedagogical
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Algebraic integrability of nonlinear dynamical systems on manifolds: classical and quantum aspects
AK Prykarpatsky, IV Mykytiuk
Springer Science & Business Media, 2013
1912013
Nonlinear dynamical systems of mathematical physics: spectral and symplectic integrability analysis
DL Blackmore, VH Samoylenko
World Scientific, 2011
1082011
Articles
J Blackmore, J Sachs
Australian Feminist Studies 18 (41), 141-162, 2003
382003
Algebraic aspects of integrable dynamical systems on manifolds
AK Prykarpatsky, IV Mykytiuk
Kiev. Nauk. durnka, 1991
361991
Differential-algebraic integrability analysis of the generalized Riemann type and Korteweg–de Vries hydrodynamical equations
AK Prykarpatsky, OD Artemovych, Z Popowicz, MV Pavlov
Journal of Physics A: Mathematical and Theoretical 43 (29), 295205, 2010
342010
On a nonlocal Ostrovsky–Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability
J Golenia, MV Pavlov, Z Popowicz, AK Prikarpatskii
Symmetry, Integrability and Geometry: Methods and Applications 6 (0), 2-13, 2010
312010
Algebraic-analytic aspects of completely integrable dynamical systems and their perturbations
AM Samoilenko, YA Prykarpatsky
Kyiv, NAS, Inst. Mathem. Publisher 41, 2002
312002
Algebraic structure of the gradient‐holonomic algorithm for Lax integrable nonlinear dynamical systems. I
AK Prykarpatsky, VH Samoilenko, RI Andrushkiw, YO Mitropolsky, ...
Journal of Mathematical Physics 35 (4), 1763-1777, 1994
291994
Differential-geometric integrability fundamentals of nonlinear dynamical systems on functional menifolds.(The
OY Hentosh, MM Prytula, AK Prykarpatsky
Lviv University 59, 408, 2006
282006
The gradient-holonomic integrability analysis of a Whitham-type nonlinear dynamical model for a relaxing medium with spatial memory
AK Prykarpatsky, MM Prytula
Nonlinearity 19 (9), 2115, 2006
242006
Differential-geometric and Lie-algebraic foundations of investigating nonlinear dynamical systems on functional manifolds
O Hentosh, M Prytula, A Prykarpatsky
The Second edition. Lviv University Publ, 2006
242006
The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2
J Golenia, YA Prykarpatsky, AM Samoilenko, AK Prykarpatsky
arXiv preprint math-ph/0404016, 2004
242004
The multidimensional Delsarte transmutation operators, their differential-geometric structure and applications Part 1
AK Prykarpatsky, AM Samoilenko, YA Prykarpatsky
Opuscula Mathematica 23, 71-80, 2003
242003
Central extension approach to integrable field and lattice-field systems in (2+ 1)-dimensions
M Błaszak, A Szum, A Prykarpatsky
Reports on Mathematical Physics 44 (1-2), 37-44, 1999
231999
The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations
Z Popowicz, AK Prykarpatsky
Nonlinearity 23 (10), 2517, 2010
222010
The Vacuum Structure, Special Relativity Theory and Quantum Mechanics Revisited: A Field Theory-No-Geometry Approach
NN Bogolubov Jr, AK Prykarpatsky, U Taneri
arXiv preprint arXiv:0808.0871, 2008
212008
The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal, fiber bundles and some applications …
YA Prykarpatsky, AM Samoilenko, AK Prykarpatsky
Opuscula Mathematica 25 (2), 287-298, 2005
212005
Lie-algebraic structure of Lax–Sato integrable heavenly equations and the Lagrange–d’Alembert principle
OE Hentosh, YA Prykarpatsky, D Blackmore, AK Prykarpatski
Journal of Geometry and Physics 120, 208-227, 2017
202017
Quantum field theory with application to quantum nonlinear optics
AK Prykarpatsky, U Taneri, NN Bogolubov Jr
World Scientific Publishing Company, 2002
202002
and Taneri U. The Relativistic Electrodynamics Least Action Principles Revisited: New Charged Point Particle and Hadronic String Models Analysis
AK Prykarpatsky, B NN
Int. J. Theor. Phys 49, 798-820, 2010
192010
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