Dust acoustic waves in warm dusty plasmas

Abstract

The nonlinear propagation of dust acoustic waves in warm dusty plasma system containing Boltzmann distribution of electrons and ions, arbitrary charged dust grains has been investigated by employing the reductive perturbation technique (RPT). The nonlinear waves have been observed in the case of negative charged dust grains from the stationary solution of the Korteweg-de Vries (K-dV) equation, Burgers equation and Korteweg-de Vries-Burgers (KdV-Burgers) equation. The analytical solution of K-dV-Burgers and Burgers equation are numerically analyzed and DA shock waves propagation is reported. The critical values of the nonlinear coefficient A and the difference of shock wave profile of Burgers equation and K dV-Burgers equation for same parameters, have been observed.