https://elib.bsu.by:443/handle/123456789/163795 NPCS Vol.18, no.4, pp. 410-513 (2015) Tue, 21 Apr 2026 09:13:16 GMT 2026-04-21T09:13:16Z https://elib.bsu.by:443/handle/123456789/163835 Заглавие документа: Two Dimensional Wave Packages Scattering on Step and Rectangular Potentials Авторы: Krylov, G. Аннотация: Wave packages reflection on step-like potentials can lead to significant deviation of the mean wave vector in respect to equal angles law due to dispersion of scattering on the region boundary. The calculated cases are step and rectangular potentials for two-dimensional Schr¨odinger equation and Dirac equation for graphene-like charge carriers quasi-particles. Thu, 01 Jan 2015 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/163835 2015-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/163834 Заглавие документа: Plasmon-Polaritons in Fishnet Hyperbolic Metamaterials Авторы: Kurilkina, S. N.; Belyi, V. N.; Kazak, N. S. Аннотация: Dielectric properties of fishnet metamaterial is described in effective medium approximation. The possibility is shown of realization of the regime when dielectric permittivity is approximately equal to zero. Theory is developed of surface plasmon polaritons (SPPs) on the boundary between isotropic dielectric medium and epsilon-near-zero fishnet metamaterial. The influence of absorption on the SPPs properties in analyzed. It is shown that depending on the choice of the metamaterial constitutive parameters, phase velocity and energy flux of SPP can have either collinear or opposite directions. Thu, 01 Jan 2015 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/163834 2015-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/163833 Заглавие документа: Statistic Methods for Control of Dynamical Polysystems Авторы: Khryashchev, S. M. Аннотация: Control systems with a finite number of control parameters (dynamical polysystems) are considered. It is assumed that the control switchings occur at some discrete times. Controllability of the systems is studied. Statistic methods of number theory are applied. Existence of integer control times is established by analysis of Diophantine inequalities. The values of control times can be found by some numerical methods. The statements on controllability are proved. Some examples are considered. Thu, 01 Jan 2015 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/163833 2015-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/163832 Заглавие документа: Pointsymmetries of Equations Describing Laminar Premixed Flame Dynamics Авторы: Volkmann, J.; Migranov, N. Аннотация: The equations of combustion processes playing an important role in industrial applications are discussed. After some simplification only the balance of mass and energy are stayed. The terms describing chemical reactions are varied by use of Arrhenius and logistical approaches. Point symmetries allow us to clarify physical meaning of reaction processes under consideration which is very important to improve the models. Due to nonlinearity and special conditions those equations are usually solved in a numerical way. An analytical solution gives one the possibility to understand physical processes in combustion systems and helps to reduce the calculation time. Thu, 01 Jan 2015 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/163832 2015-01-01T00:00:00Z