Weakly two-dimensional dust acoustic waves

Abstract

For dust acoustic waves in unmagnetized plasma comprising cold dust grains and both isothermal electrons and ions, small but finite amplitude nonlinear waves are governed by the Korteweg–de Vries equation. The weakly transverse long wavelength perturbations for nonlinear dust acoustic waves are investigated in this paper. It has been shown that the governing equation for this process is the Kadomtsev–Petviashvili equation. It suggests that the transverse perturbations for the nonlinear acoustic solitary waves in a dusty plasma are stable.