Influences of External Excitations on Solitary Waves in Nonthermal Dusty Plasma

Reductive perturbation technique is employed to obtain damped forced Korteweg-de Vries (DFKdV) equation in a dusty plasma containing non-thermally distributed electrons in presence of solitary-pulse-type and Gaussian-shaped external forces. To study the behavior of dust-ion acoustic solitary waves (DIASWs), an approximate analytical solitary wave solution of DFKdV equation is found for small values of damping and external forces considering momentum conservation law of Korteweg-de Vries (KdV) equation. By assigning different values of the plasma parameters and strength of the external forces, approximate analytical solitary wave solutions of DFKdV equation are plotted to show the variation of width and amplitude of DIASWs. The results show that the non-thermal parameter (b), damping parameter, i.e., dust-ion collisional frequency (nu(id0)) and the strength of the external force play a very important role in the amplitude and width of the DIASWs. The investigated results can be helpful to study the characteristics of nonlinear waves in laboratory plasma and space plasma where external forces arise due to motion of charged space pollutants.