Effects of Landau damping on finite amplitude low-frequency nonlinear waves in a dusty plasma

Abstract

The effect of linear ion Landau damping on weakly nonlinear as well as weakly dispersive low-frequency waves in a dusty plasma is investigated. The standard perturbative approach leads to the Korteweg-de Vries (KdV) equation with a linear Landau damping term for the dynamics of the low-frequency nonlinear wave. Landau damping causes the wave amplitude to decay with time and the dust charge variation enhances the damping rate.

Landau damping of dust acoustic solitary waves in nonthermal plasmas

“…It has also been proposed that the resonant wave-particle interactions in a plasma may give rise to an acceleration of charged particles by transfer of wave energy to the charged species 4 . Thereafter, many researchers have reported theoretical and experimental studies of nonlinear Landau damping in different plasma systems [5][6][7][8][9][10][11] . An experiment to demonstrate the propagation of ion acoustic soliton in an Ar-He plasma has been reported and it is suggested that the addition of a Landau damping term in the KdV equation affects the balance of nonlinearity and dispersion which leads to modification of the evolutionary pattern of initial pulse 12 .…”

“…It is found that for some typical plasmas in laboratory and space, the Landau damping and nonlinear effects are more dominant than the dispersive effects and hence, the KdV soliton theory ceases to govern the dynamics of dust acoustic waves in such plasma. Recently, the effects of Landau damping on low frequency solitary waves in a dusty plasma have been investigated taking into account the variation of dust charge 6 and it is reported that the amplitude of DAW decreases with time due to the influence of Landau damping. However, all these investigations have been reported in context of solitary waves in plasmas.…”

Weakly nonlinear ion sound waves in gravitational systems

“…To describe the propagation of weakly nonlinear sound waves in a kinetic model, several authors [20][21][22][23] have proposed a modified KdV-equation in the form…”

Effect of magnetic field on electromagnetic soliton evolution by different pulses

“…They obtained dispersion relation of the mode and expressions of its cutoff frequency and guide wavelength, and observed that in the presence of higher plasma density and stronger magnetic field, the guide wavelength gets larger. On the other hand, there are many studies concerning electrostatic waves in unmagnetized plasmas and magnetized plasmas [5][6][7][8][9][10][11][12] including both relativistic and nonrelativistic effects.…”