12 citations · 32 across the 11 of their papers we have counts for
11 papers
Quasiclassical quantization of the Boussinesq breather emerging from the kink localized mode
M. M. Bogdan, O. V. Charkina
The breather solution found by M. Tajiri and Y. Murakami for the Boussinesq equation is studied analytically. The new parameterization of the solution is proposed, allowing us to f…
Fine structure of soliton bound states in the parametrically driven, damped nonlinear Schrödinger equation
M. M. Bogdan, O. V. Charkina
Static soliton bound states in nonlinear systems are investigated analytically and numerically in the framework of the parametrically driven, damped nonlinear Schrödinger equation.…
Vibration spectra of benzene-like models with Hooke's law interactions
M. M. Bogdan, O. V. Charkina, A. Y. Holovashchenko
The harmonic oscillations of a spring-ball model of benzene-like nanosystems with Hooke's law interactions between nearest, second, and third neighbors are explored. We show that i…
Generation of wave packets and breathers by oscillating kinks in the sine-Gordon system
M. M. Bogdan, O. V. Charkina
Evolution of the nonequilibrium inhomogeneities and topological defects is studied in terms of complex kink solutions of the sine-Gordon equation. The weakly damped oscillation of…
Localized excitations and scattering of spin waves in ferromagnetic chains containing magnetic nanoclusters
O. V. Charkina, M. M. Bogdan
The spectrum of localized excitations in an anisotropic one-dimensional ferromagnet containing a spin cluster of arbitrary size is found exactly within the framework of the discret…
Local negative magnetic permeability and possibility of observation of breather excitations in magnetic metamaterials
M. M. Bogdan, O. V. Charkina
It is shown that the long-wave dynamics and magnetic properties of one-dimensional systems constructed of the inductively and capacitively coupled split-ring resonators are describ…