Prizes and Distinctions:

• Certificate of Honour from Presidium of the NAS of Ukraine 2008.
• Certificate of Honour from Presidium of the NAS of Ukraine 2018.

Languages:

English (B2), German (А2), Ukrainian (C2)

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 crystals, magnets and metamaterials.

Main Achievements:

• Finding the exact multisoliton solutions of the Landau-Lifshitz equation for one-dimensional biaxial ferromagnet,
• Discovery of the oscillatory instability in soliton dynamics,
• Theoretical description of formation of multisoliton complexes and their coherent motion in strongly dispersive media,
• Finding the exact discrete multibreather and periodic solutions in integrable nonlinear lattices,
• Exact description of localized excitations and spin waves in anisotropic ferro- and antiferromagnets containing domain walls in the presence of a magnetic field.
• Theory of non-stationary motion of nonequilibrium topological excitations in nonlinear systems with strong dispersion.
• Analytical description of the fine structure of soliton bound states in low-dimensional magnets under conditions of parametric pumping and dissipation.
• Solving the problem of stability of discrete magnetic nanoclusters and the spectra of their localized excitations in low-dimensional magnets.
• Theory of generation of wave packets, quasilocal modes and breathers by moving domain walls
• Numerical simulation of regular and chaotic dynamics of magnetic breathers in one- and two-dimensional nonlinear metamaterials.
• Quasiclassical quantization of oscillating kinks in nonlinear systems with strong dispersion.

Professional Experience:

The experience in international scientific cooperation within the framework of visits to:

• Laboratory of Theoretical Physics and Statistical Models of the University Paris Sud (France, 2008)
• Aston University (Birmingham, Great Britain, 2004)
• Montana State University (Bozeman, USA, 2002)
• University Pierre et Marie Curie (Paris, France, 1997, 2002)
• Max Planck Institute (Dresden, Germany, 1997, 2000, 2001)
• University of Cape Town (Cape Town, South Africa, 1994)

Member of Editirial board Fizyka Nyzkykh Temperatur

Educational Activity:

• Professor of Theoretical Physics Department Named by Academician I.M. Lifshits in Kharkiv National University from 2006 up to 2023. Personal page in Kharkov University:
• Supervisor of three PhD theses: two Doctors of Philosophy in Theoretical Physics and one in Solid State Physics.

Publications:

Number of papers: 74 ( in the refereed journals - 65)

List of XXI-century 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. M.M. Bogdan and D.V. Laptev. Exact Description of the Discrete Breathers and Solitons Interaction in the Nonlinear Transmission Lines Journal of the Physical Society of Japan. V.83, No.6, 064007-1-064007-9 (2014).
11. D.V. Laptev M.M. Bogdan. Nonlinear periodic waves solutions of the nonlinear self-dual network equations. Journal of Mathematical Physics. V.55, No.4, 042903-1-042903-22, (2014).
12. M.M. Bogdan, O.V. Charkina. Local negative magnetic permeability and possibility of observation of breather excitations in magnetic metamaterials Low Temperature Physics. V.40, N3, 234-238 (2014).
13. M.M. Bogdan, O.V. Charkina. Spin waves in easy-axis antiferromagnets with precessing domain walls Low Temperature Physics. V.40, N1, 84-90 (2014).
14. M.M. Bogdan and D.V. Laptev. Quasiclassical spectra of the solitons of the continual and discrete modified Korteweg - de Vries equations. Uzhhorod University Scientific Herald. Series Physics. Iss.24, 100-107 (2009) [in Ukrainian].
15. M.M. Bogdan, O.V. Charkina. Dynamics of bound soliton states in regularized dispersive equations. Low Temperature Physics. V.34, No 7, 564-570 (2008).
16. M.M. Bogdan, O.V. Charkina. Dynamics and stability of solitons in the sine-Gordon models with a strong dispersion Nonlinear world. V.6, No.5-6, 324-333 (2008) [in Russian].
17. M.M. Bogdan, O.V. Charkina. Dynamical features of bound states of topological solitons in highly dispersive low-dimensional systems Low Temperature Physics. V.33, No.12, 1073-1076 (2007).
18. L. Kroon, M.M Bogdan, A.S. Kovalev and E.Yu. Malyuta. Bifurcation picture and stability of gap and out-gap discrete solitons. Low Temperature Physics. V.33, No.5, 481-483 (2007).
19. O.V. Charkina, M.M. Bogdan. Processes of formation of soliton complexes and breathers in highly dispersive media. Uzhhorod University Scientific Herald. Series Physics. Iss.21, 196-204 (2007) [in Ukrainian]
20. 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). V.2, No.047, 1-12 (2006).
21. S. Boscolo, S.A. Derevyanko, S.K. Turitsyn, A.S. Kovalev andM.M. Bogdan. Autosoliton propagation and mapping problem in optical fiber lines with lumped nonlinear devices. Phys. Rev. E. V.72, No.1 , 016601-1-016601-4 (2005).
22. S. Boscolo, S.A. Derevyanko, S.K. Turitsyn, A.S. Kovalev andM.M. Bogdan. Evolution of optical pulses in fiber lines with lumped nonlinear devices as a mapping problem. Theoretical and Mathematical Physics. V. 144, No.2, 1117-1127 (2005).
23. O.V. Charkina, M.M. Bogdan. Internal Modes of Oscillations of Topological Solitons in Highly Dispersive Media. Uzhhorod University Scientific Herald. Series Physics. Iss. 17, 30-37 (2005).
24. M.M. Bogdan. The frustrated vortex in a two-dimensional antiferromagnet. Low Temperature Physics. V.31, No.8/9, 968-973 (2005).
25. M.M. Bogdan, A.S. Kovalev, and E. Malyuta. Spectrum of nonlinear excitations of modulated nanoclusters. Low Temperature Physics. V. 31, No.7, 613-618 (2005).
26. M.M. Bogdan and G.A. Maugin. Exact discrete breather solutions and conservation laws of lattice equations. Proc. Estonian Acad. Sci. Phys. Math. V.52, No.1, 76-84 (2003).
27. M.M. Bogdan, C.E. Zaspel. Vortex Patterns in Layered Magnets with Magnetic and Nonmagnetic Impurities. Physica Status Solidi (a). V.189, No. 3, 983-988 (2002).
28. M.M. Bogdan, A.M. Kosevich, and G.A. Maugin. Soliton Complex Dynamics in Strongly Dispersive Medium. Wave Motion. V.34, No.1, 1-26 (2001).