Mikhail Bogdan, Leading Researcher

Department of Theoretical Physics,
B.I.Verkin Institute for Low Temperature Physics & Engineering,
47 Lenin Ave., Kharkov, Ukraine

E-mail: bogdan@ilt.kharkov.ua
Telephone:+38 (057) 341-09-39
Fax:+38 (057) 340-33-70

Graduated from Kharkov State University in 1974. 

Post-graduate Study in Kharkov State University, 1974-1977.
PhD Phys & Math, ILTPE, 1983. 
DSc Phys & Math, ILTPE, 2001.

Was born in Kharkov Region, Ukraine, in 1952. Has been working at ILTPE as a junior researcher from 1978 to 1986, as a researcher from 1986 to 1991, as a senior researcher from 1991 to 2004. Is working as a leading researcher from 2004.

Research area: 
The theory of nonlinear phenomena in condensed matter physics based on the soliton concept and its applications for description of nonlinear effects in solids.

Main achievements are the following:

● 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 spin waves in anisotropic ferro- and antiferromagnets containing domain walls in the presence of a magnetic field.

Last five years activity and current interests:

Subjects of current investigations include dynamical properties of nonlinear excitations in condensed matter, especially soliton interaction and formation of multisoliton complexes in strongly dispersive media, investigation of their stability properties and internal motion, computer simulation of the nonstationary dynamics of soliton complexes; exact theoretical description of spin waves scattering by moving domain walls in anisotropic antiferromagnets in a magnetic field; theory of the local negative magnetic permeability in nonlinear metamaterials and possibility of observation of breather excitations in such systems; exact description of collision processes of discrete breathers and shock waves in integrable models of anharmonic crystals and nonlinear transmission lines, in particular in the finite-size systems.

Educational activity:

● Professor of the Theoretical Physics Department named by academician I.M. Lifshits in Kharkov National University from 2006 up to now. Personal page in Kharkov University:
● Supervisor of three PhDs (in theoretical physics and solid state physics).


Diploma of Presidium of NAS of Ukraine, 2008.

List of XXI-century publications :

  1. 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).
  2. 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).
  3. 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).
  4. M.M. Bogdan The frustrated vortex in a two-dimensional antiferromagnet. Low Temperature Physics. V.31, No.8/9, 968-973 (2005).
  5. 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).
  6. O.V. Charkina and 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).
  7. S. Boscolo, S.A. Derevyanko, S.K. Turitsyn, A.S. Kovalev, and M.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, 11171127 (2005).
  8. S. Boscolo, S.A. Derevyanko, S.K. Turitsyn, A.S. Kovalev, and M.M. Bogdan. Autosoliton propagation and mapping problem in optical fiber lines with lumped nonlinear devices. Phys. Rev. E. V.72, No.1 , 016601-1016601-4 (2005).
  9. O.V. Charkina and 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, 112 (2006)Open access : http://www.emis.de/journals/SIGMA/2006/Paper047/
  10. O.V. Charkina and M.M. Bogdan. Processes of formation of soliton complexes and breathers in highly dispersive media. Uzhhorod University Scientific Herald. Series Physics. Iss.21, 196204 (2007) [in Ukrainian]
  11. 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, 481483 (2007).
  12. M.M. Bogdan and O.V. Charkina. Dynamical features of bound states of topological solitons in highly dispersive low-dimensional systems. Low Temperature Physics. V.33, No.12, 10731076 (2007).
  13. M.M. Bogdan and O.V. Charkina. Dynamics and stability of solitons in the sine-Gordon models with a strong dispersion. Nonlinear world. V.6, No.5-6, 324333 (2008) [in Russian].
  14. M.M. Bogdan and O.V. Charkina. Dynamics of bound soliton states in regularized dispersive equations. Low Temperature Physics.V.34, 7, 564570 (2008).
  15. 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, 100107 (2009) [in Ukrainian].
  16. M.M. Bogdan and O.V. Charkina. Spin waves in easy-axis antiferromagnets with precessing domain walls. Low Temperature Physics.V.40, 1, 8490 (2014).
  17. M.M. Bogdan and O.V. Charkina. Local negative magnetic permeability and possibility of observation of breather excitations in magnetic metamaterials. Low Temperature Physics. V.40, 3, 234238 (2014).
  18. 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, 042903-1042903-22, (2014).
  19. 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, 064007-1064007-9 (2014).