Nonlinear adiabatic electron plasma waves: I. General theory and nonlinear frequency shift

Linear and Nonlinear Dust Acoustic Waves in Quantum Dusty Electron-Positron-Ion Plasma

The behavior of linear and nonlinear dust acoustic waves (DAWs) in an unmagnetized plasma including inertialess electrons and positrons, ions, and mobile positive/negative dust grains are studied. Reductive perturbation method is employed for small and finite amplitude DAWs. To investigate the solitary waves, the Korteweg–de Vries (KdV) equation is derived and the solution is presented. B...

Perpendicular nonlinear waves in an electron–positron–ion plasma

Waves propagating perpendicular to a magnetic field in a plasma consisting of electrons, positrons, and ions are studied theoretically and numerically. In a three component plasma, there appears a frequency domain in which the magnetosonic waves cannot propagate; thus, we have two separate modes below the electron cyclotron frequency. Their dispersion relations are discussed. Then, Korteweg–de ...

Linear and Nonlinear Theory of Grid Excitation of Low-Frequency Waves in a Plasma

The steady-state excitation of longitudinal waves by a pair of idealized grids immersed in a collisionlcss plasma and driven at a frequency small compared with the ion plasma frequency is investigated theoretically. In linear theory the Fourier-inversion integral which determine the spatial behavior of the potential in the plasma is expressed as a sum of two integrals which embody the interacti...

Nonlinear edge waves and shallow-water theory

Electron heating by nonlinear whistler waves

Nonlinear whistler-mode phenomena observed in laboratory plasmas will be addressed. Nonlinearities arise when strong waves modify the density, temperature and magnetic field, all of which affect the wave propagation. A brief review of thermal filamentation will be given. The main focus is on the magnetic nonlinearity of whistler modes whose wave magnetic fields exceed the ambient magnetic field...