Temporal evolution of a beam-plasma wave spectrum

Summary form only given, as follows. The interaction of a monoenergetic small density electron beam with a plasma has to be essentially dependent on a type of wave spectrum in a plasma. If the spectrum consists of a lone mode and one is in resonance with a beam it takes the place one-mode beam instability in a system. The existence of a broad wave spectrum in a plasma is equal the introduction of effective dissipation into a system. In this case a resonance beam instability changes its nature to a dissipative one with corresponding losses of beam energy and stationary level of generated waves to it. The temporal dynamics of the wave spectrum due to beam-plasma instability was investigated in this paper. It was supposed that the wave spectrum is equidistant with a fixing phase at the beginning of a beam-plasma interaction. The temporal evolution of linear and non-linear wave spectrum was investigated.