CYLINDRICAL AND SPHERICAL ION-ACOUSTIC SOLITARY WAVES IN A DUSTY PLASMA WITH NON-THERMAL ELECTRONS

Abstract

The propagation characteristics of nonlinear ion acoustic solitary waves are investigated in a non-planar plasma with fluid ions, stationary dust particles, and non-thermal electrons. By using the reductive perturbation technique (RPT), we were able to derive the Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations. It is demonstrated that the non-planar Kdv equation may be converted into a planar geometry using the proper coordinate transformation. It has been found that the combined effects of dust and non-thermal electrons have a significant impact on the non-planar geometry ion acoustic nonlinear solitary wave structures. The joint impact of non-thermal electrons and dust on the solitary wave has been well examined.  With a decrease in τ, the soliton amplitude rises. The solitons are dependent on the β (non-thermal parameter) and α (the ratio of equilibrium values of electron and ion number densities). Solitary wave structures created are both compressive and rarefactive.