Ion acoustic solitary waves in nonplanar plasma with two-temperature kappa distributed electrons

Abstract

Ion acoustic (IA) solitons are studied in a two-temperature kappa-distributed electron plasma. As we expect for double-Boltzmann electrons, solitons of both polarities can exist in this model. Some density ratios support coexistence of both the polarities. We have also derived an deformed Korteweg–de Vries equation for IA waves by using reductive perturbation technique. The influence of geometry and suprathermality effects on IA waves is investigated. This model can support both compressive and rarefractive solitons for some plasma parameters. The low temperature electron component favors the emergence and development of rarefractive solitons. It is found that the amplitude and the velocity of IA solitons increase with superthermal index of hot electrons (κ 2). Also it is clear that the increase rate of velocity and amplitude in spherical geometry is greater than that for cylindrical geometry. We have considered the transverse perturbation for IA solitons with spherical symmetry. It is shown that the evolution of IA solitons is governed by a variable coefficient spherical Kadomtsev–Petviashvili equation.