Nonlinear Stationary Waves in Thin-Walled Electron Beams

Summary form only given. We analyze conditions under which a double-humped potential function of electron beam states is formed in a system of coordinates that is moving with the electrons. We show that periodic states with large amplitudes can exist. Such states can be used as the basis for microwave oscillators with a strong Doppler frequency shift. In addition, we predict the existence of solitary waves in thin-walled electron beams. The dependence of the velocity of such solitons on their amplitudes is obtained. Equations for various states of sheet electron beams, including states with two-dimensional solitons, are also presented.