The nonlinear behaviour of the electron plasma wave propagating in a cylindrical plasma waveguide immersed in an infinite axial magnetic field is investigated using the Krylov-Bogoliubov-Mitropolsky perturbation method, by means of which the nonlinear Schrodinger equation, governing the long-term slow modulation of the wave amplitude, is deduced. From this equation the amplitude-dependent frequency and wavenumber shifts are calculated, and it is found that the electron waves with short wavelengths are modulationally unstable with respect to long wavelength, low frequency perturbations. The growth rate of the instability is calculated and possible applications to experiments are discussed.
|Place of Publication||Roskilde, Denmark|
|Publisher||Risø National Laboratory|
|Number of pages||40|
|Publication status||Published - 1977|