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

The effect of linear ion Landau damping onweakly nonlinear as well as weakly dispersive low-frequencywaves in a dusty plasma is investigated. The standardperturbative approach leads to the Korteweg–de Vries(KdV) equation with a linear Landau damping term for thedynamics of the low-frequency nonlinear wave. Landaudamping causes the wave amplitude to decay with time andthe dust charge variation enhances the damping rate.