Theoretical investigation of the behavior of spherical ion- acoustic solitons in two-temperature plasma

The propagation of the small amplitude ion-acoustic solitary waves (IASWs) is studied in a plasma containing cold fluid ions and multi-temperature electrons (cool and hot electrons) with the nonextensive distribution. In this paper, we were firstly written a set of fluid equations in the spherical geometry. Then, spherical Korteweg–de Vries (KdV) equation was derived using a reductive perturbation method. The obtained spherical Korteweg–de Vries equation was solved using a homotopy perturbation method (HPM). Furthermore, the impact of the electron nonextensivity, the density ratio of electrons and ions and the temperature ratio on the characteristics of ion- acoustic solitary waves were studied. The analytical results show that a decrease in the electron nonextensivity increases the soliton ion- acoustic width. On the other word, it was observed that a reduction in the nonextensivity parameter increases the nonlinear coefficient of the KdV equation.