On the incompleteness of the classification of quadratically integrable Hamiltonian systems in the three-dimensional Euclidean space
Year of publication
2025
Publication
Journal of Physics A: Mathematical and Theoretical. 2025, 58(11), ISSN 1751-8113.
Integrable systems in magnetic fields: the generalized parabolic cylindrical case
Year of publication
2024
Publication
Journal of Physics A: Mathematical and Theoretical. 2024, 57(23), 1-21. ISSN 1751-8113.
Superintegrable families of magnetic monopoles with non-radial potential in curved background
Year of publication
2024
Publication
Journal of Geometry and Physics. 2024, 203 ISSN 1879-1662.
Integrable systems of the ellipsoidal, paraboloidal and conical type with magnetic field
Year of publication
2024
Publication
Journal of Physics A: Mathematical and Theoretical. 2024, 57(22), 1-31. ISSN 1751-8113.
New classes of quadratically integrable systems in magnetic fields: The generalized cylindrical and spherical cases
Year of publication
2023
Publication
Annals of Physics. 2023, 451 ISSN 0003-4916.
New classes of quadratically integrable systems with velocity dependent potentials: non-subgroup type cases
Year of publication
2023
Publication
EUROPEAN PHYSICAL JOURNAL PLUS. 2023, 138(9), 1-24. ISSN 2190-5444.
Family of nonstandard integrable and superintegrable classical Hamiltonian systems in non-vanishing magnetic fields
Year of publication
2023
Publication
Journal of Physics A: Mathematical and Theoretical. 2023, 56(16), ISSN 1751-8113.
Cylindrical first-order superintegrability with complex magnetic fields
Year of publication
2023
Publication
Journal of Mathematical Physics. 2023, 64(6), 062101-1-062101-12. ISSN 0022-2488.
Pairs of commuting quadratic elements in the universal enveloping algebra of Euclidean algebra and integrals of motion
Year of publication
2022
Publication
Journal of Physics A: Mathematical and Theoretical. 2022, 55(14), ISSN 1751-8113.
On superintegrability of 3D axially-symmetric non-subgroup-type systems with magnetic fields
Year of publication
2021
Publication
Journal of Physics A: Mathematical and Theoretical. 2021, 54(1), ISSN 1751-8113.
Superintegrability of separable systems with magnetic field: the cylindrical case
Year of publication
2021
Publication
Journal of Physics A: Mathematical and Theoretical. 2021, 54(42), ISSN 1751-8113.
Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates
Year of publication
2020
Publication
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2020, 16 ISSN 1815-0659.
Cylindrical type integrable classical systems in a magnetic field
Year of publication
2020
Publication
Journal of Physics A: Mathematical and Theoretical. 2020, 53(8), ISSN 1751-8113.
On rotationally invariant integrable and superintegrable classical systems in magnetic fields with non-subgroup type integrals
Year of publication
2019
Publication
Journal of Physics A: Mathematical and Theoretical. 2019, 52(19), ISSN 1751-8113.
Superintegrability and time-dependent integrals
Year of publication
2019
Publication
Archivum mathematicum. 2019, 55(5), 309-318. ISSN 1212-5059.
An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals
Year of publication
2018
Publication
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2018, 14 ISSN 1815-0659.
Spherical type integrable classical systems in a magnetic field
Year of publication
2018
Publication
Journal of Physics A: Mathematical and Theoretical. 2018, 51(13), ISSN 1751-8113.
Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables
Year of publication
2017
Publication
Journal of Physics A: Mathematical and Theoretical. 2017, 50(24), ISSN 1751-8113.
Three-dimensional superintegrable systems in a static electromagnetic field
Year of publication
2015
Publication
Journal of Physics A: Mathematical and Theoretical. 2015, 48(39), ISSN 1751-8113.
Third-order superintegrable systems with potentials satisfying only nonlinear equations
Year of publication
2015
Publication
Journal of Mathematical Physics. 2015, 56(10), ISSN 0022-2488.
On Renormalization of Poisson-Lie T-plural Sigma Models
Year of publication
2013
Publication
Acta Polytechnica. 2013, 53(5), 433-437. ISSN 1210-2709.
Solvable Lie Algebras with Borel Nilradicals
Year of publication
2012
Publication
Journal of Physics A: Mathematical and Theoretical. 2012, 45(9), ISSN 1751-8113.
Maximal Solvable Extensions of Filiform Algebras
Year of publication
2011
Publication
Archivum Mathematicum. 2011, 47(5), 405-414. ISSN 0044-8753.
Invariant solutions of supersymmetric nonlinear wave equations
Year of publication
2011
Publication
Journal of Physics A: Mathematical and Theoretical. 2011, 44(8), 1-22. ISSN 1751-8113.