The interaction of short single-component vector solitons in the frame of the coupled third–order nonlinear Schrodinger equations taking into account third–order linear dispersion, self–stepping, self–stimulated Ramanscattering, cross–stepping and cross–stimulated Raman-scattering terms is considered. Conditions of reflection and propagation of the solitons through each other and also the condition of oscillator interaction (vector breather) are obtained.
In this study with using of the small-signal theory of discrete electron-wave interaction in the passbands and stopbands resonator slow-wave systems (SWS) of power traveling-wave tubes (TWT), obtain the characteristic equation for the propagation constants of the 4-electron waves produced in the interaction of the electron beam forward and backward electromagnetic waves of SWS. The analysis of solutions of this equation, which allowed to establish the specific characteristics of these waves are compared with the known properties of electron waves in a "smooth", such as helical SWS. On the basis of solving the boundary value problem for the SWS segments were simulated and found gain of multisection TWT with transparent section and stopsection, as well as, the distribution of fields and currents along the stopsection.
The collective monograph includes practical and theoretical materials on the questions of innovation activity in the system of education.
Тhе article is devoted to the analysis of science, education and business as key institutional agents of civil identity in contemporary society. The civil identity is specified as a subject-object interaction between an individual and a state. Also preconditions for diversification of state power in the field of civic identity forming are determined.