математическое моделирование

Mathematical Modelling Multilayered Waveguides Magnitodielektrical Structures with Strip and Slot Elements on Borders of Section of Environments

The effective algorithm of modeling of difficult multilayered electrodynamics systems with strip and slot elements on borders of layers is presented. The approach to construction of algorithm of the automated designing of such systems by a given topology and parameters was developed.

Mathematical Model of Vascular Tone Autoregulation

Authors: Stiukhina E. S., Avtomonov Y. N., Postnov D. E.

Background and Objectives: The conventional approach to study the blood circulat ion in the cardiovascular system of humans and animals is based on representation of the vascular system as a hierarchical structure of branching elastic tubes. While considerable progress has been achieved in the framework of this p aradigm, the other fails when one needs to analyze the dynamical patterns in networks of small arterial vessels.

Optical Soliton Inelastic Interacitons in Nonlinear Schrödinger Equation with Variable Coefficients Model

Authors: Plastun A. S., Konyukhov A. I., Melnikov L. A., Zar’kov S. A.

It is shown that in systems described by nonlinear Schrödinger equation with variable coefficients, interaction of two solitons can carry an inelastic character. Inelastic collision solitons can lead to changes in their group velocities, amplitudes and durations. We consider some particular cases related to the separation of the soliton pair and formation of a bound state of two solitons. In the applied aspect these phenomena can be used to control the soliton interaction in optical fiber communications.