Nonlinear periodic space-charge waves in plasma

A solution is obtained in the form of coupled nonlinear periodic space-charge waves propagating in a magnetoactive plasma. The wave spectrum in the vicinity of the critical point, where the number of harmonics increases substantially, is found to fall with harmonic number as ∝ s-1/3. Periodic space-charge waves are invoked to explain the zebra pattern in the radio emission from solar flares.