Effects of streaming and attachment coefficients of ions and electrons on the formation of soliton in a dusty plasma

Abstract

An inhomogeneous Korteweg–deVries equation has been derived for a non-relativistic and unmagnetised plasma containing warm ions, warm electrons and cold dust grains all of which have streaming velocities by the reductive perturbation method. An exact solution of the equation has also been obtained by using Galilean invariance of the equation. The solution turns out to be distinctly different from the usual soliton solution. It is observed that a negative soliton exists in a dusty plasma under some critical values of the parameter involving the attachment coefficients and streaming of ions and electrons. It is also seen that the electrostatic potential increases with time indicating the non-existence of solitons in a dusty plasma having variable dust charges.