Languages:

Ukrainian (native), English (A2-B1), French (A2), Luxembourgish (A1)

Education:

Field of Scientific Interest:

The theory of nonlinear phenomena in condensed matter physics based on the soliton concept and its applications for description of nonlinear effects in crystals, magnets and metamaterials. Machine learning

Main Achievements:

• Theoretical description of the non-stationary and internal dynamics of topological solitons in nonlinear systems with the strong dispersion and the processes of formation of soliton and breather bound states under conditions of parametric pumping and dissipation.
• Computer modeling of the non-stationary dynamics of soliton complexes and nonequilibrium domain walls.
• Exact theoretical description of the generation of spin waves by moving domain walls in anisotropic ferro- and antiferromagnets in a magnetic field.
• Exact solving the problem of stability of discrete magnetic nanostructures and the spectral problem for their localized. excitations in quasi-one-dimensional magnets.
• Theory of local diamagnetism in nonlinear low-dimensional metamaterials with breather excitations and establishment of conditions for their observation.
• Quasiclassical quantization of oscillating kinks in nonlinear systems with strong dispersion.

Professional Experience:

Educational activity:

National Technical University "Kharkiv Polytechnic Institute":

"Theoretical physics" – 2015-2018;

"Field Theory and Quantum Mechanics" – 2015-2018;

"Quantum Mechanics" – 2017-2018

Publications:

Number of papers: 69 ( in the refereed journals - 24)

Selected publications:

1. M.M. Bogdan, O.V. Charkina. Quasiclassical quantization of the Boussinesq breather emerging from the kink localized mode. Low Temperature Physics. – 2025. – V.51, No 6. – P. 763–773.
2. M.M. Bogdan, O.V. Charkina, A.Y. Holovashchenko. Vibration spectra of benzene-like models with Hooke’s law interactions. Low Temperature Physics. – 2023. – V.49, No 12. – P. 1444–1457.
3. M.M. Bogdan, O.V. Charkina. Structure of soliton bound states in the parametrically driven and damped nonlinear systems. Low Temperature Physics. – 2022. – V.48, No 12. – P. 1062–1070.
4. O.V. Charkina, V.I. Belan, M.M. Bogdan. Structural transformation of spin nanoclusters in low-dimensional anisotropic ferromagnets under applied magnetic field. Low Temperature Physics. – 2021. – V.47, No 12. – P. 1001–1010.
5. M.M. Bogdan, O.V. Charkina. Nonlinear oscillations of topological structures in the sine-Gordon systems. Low Temperature Physics. – 2021. – V.47, No 6. – P. 449–456.
6. M.M. Bogdan, O.V. Charkina. Generation of wave packets and breathers by oscillating kinks in the sine-Gordon system. Low Temperature Physics. – 2021. – V.47, No 2. – P. 155–156.
7. O.V. Charkina, M.M. Bogdan. Metastable breathers and local diamagnetism in two-dimensional nonlinear metamaterials. Low Temperature Physics. – 2020. – V.46, No 7. – P. 712-723.
8. M.M. Bogdan,V.I. Belan, O.V. Charkina. The effect of the magnetic field on the stability and excitation spectrum of spin nanoclusters in anisotropic ferromagnetic chains. Low Temperature Physics. – 2018. – V.44, No 12. – P. 1331-1340.
9. O.V. Charkina, M.M. Bogdan. Localized excitations and scattering of spin waves in ferromagnetic chains containing magnetic nanoclusters. Low Temperature Physics. – 2018. – V.44, No 7. – P. 644-650.
10. O.V. Charkina, A.N. Kalinenko, A.I. Kopeliovich, P.V. Pyshkin, A.V. Yanovsky. Spin-current resonances in a magnetically inhomogeneous 2D conducting system. Physics Letters A. – 2016. – V.380. – P. 3678-3682.
11. M.M. Bogdan, O.V. Charkina. Local negative magnetic permeability and possibility of observation of breather excitations in magnetic metamaterials. Low Temperature Physics. – 2014. – V.40, No 3. – P. 234–238.
12. M.M. Bogdan, O.V. Charkina. Spin waves in easy-axis antiferromagnets with precessing domain walls. Low Temperature Physics. – 2014. – V.40, No 1. – P. 84-90.
13. M.M. Bogdan, O.V. Charkina. Spin waves in easy-axis antiferromagnets with precessing domain walls. Low Temperature Physics. – 2014. – V.40, No 1. – P. 84-90.
14. M.M. Bogdan, O.V. Charkina. Dynamics of bound soliton states in regularized dispersive equations. Low Temperature Physics. – 2008. – V.34, No 7. – P. 564–570.
15. M.M. Bogdan, O.V. Charkina. Dynamics and stability of solitons in the sine-Gordon models with a strong dispersion. Nonlinear world. – 2008. – V.6, No 5-6. – P. 324–333. [in Russian].
16. M.M. Bogdan, O.V. Charkina. Dynamical features of bound states of topological solitons in highly dispersive low-dimensional systems. Low Temperature Physics. – 2007. –V.33, No 12. – P. 1073–1076.
17. O.V. Charkina, M.M. Bogdan. Processes of formation of soliton complexes and breathers in highly dispersive media. Uzhhorod University Scientific Herald. Series Physics. – 2007. – Iss.21. – P. 196–204. [in Ukrainian].
18. O.V. Charkina, M.M. Bogdan. Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems. SIGMA (Symmetry, Integrability and Geometry: Methods and Applications). – 2006. – V. 2, No 047. – P. 1–12.
19. O.V. Charkina, M.M. Bogdan. Internal Modes of Oscillations of Topological Solitons in Highly Dispersive Media. Uzhhorod University Scientific Herald. Series Physics. – 2005. – Iss.17. – P. 30-37.
20. T.N. Antsygina, O.V. Charkina, M.I. Poltavskaya. Heat Capacity of 2D Solid Solution of Diatomic Molecules in Rare Gas Matrix. Journal of Low Temperature Physics. – 2005 – V.138, No 1/2. – P. 379-384.
21. O.V. Charkina, K.A. Chishko. Electromagnetic Emission of Mobile Dislocation Segments in an Ionic Crystal. Physics of the Solid State. – 2001 – V.43, No 10. – P. 1898-1904.
22. K.A. Chishko, O.V. Charkina. Radiation of electromagnetic waves from edge dislocations moving in ionic crystals. Materials Sciences & Engineering: A. – 1997. – V.234-236. – P. 361-364.
23. K.A. Chishko, O.V. Charkina. Emission of electromagnetic waves by edge dislocations moving in ionic crystals. Physics of the Solid State. – 1996. – V.38, No 9. – P. 1521-1526.
24. N.P Zhuck, O.V. Charkina, S.N. Shul’ga. Green's functions of Maxwell's equations for the plane-layered Tellegen bi-isotropic medium. Journal of communications technology & electronics. – 1996. – V.41, No 1. – P. 22–28.