Cylindrical solitary structures associated with dust-ion-acoustic waves in pair ion plasmas

Abstract

The characteristics of cylindrical dust-ion-acoustic solitary waves in an unmagnetized, collisionless dusty plasma system with oppositely charged ions, immobile dust particles and non-extensive electrons are investigated. Using the reductive perturbation method, a \((3+1)\)-dimensional cylindrical Kadomtsev–Petviashvili (cKP) equation is derived, and this is valid for small but finite amplitude dust-ion-acoustic waves. This model supports positive as well as negative potential solitary structures. Analyzing various plasma parameters on the solitary profile revealed that the polarity, amplitude and width of the waves vary significantly. Higher electron number density increases the formation region of solitary structures. The plasma system accommodates both supersonic and subsonic wave modes. The subsonic waves are governed by the thermal effect, and the supersonic waves are ion-acoustic in character. The time evolution of dust-ion-acoustic wave is shown and also the propagation characteristics with radial, azimuthal and axial coordinates have been performed. These findings contribute to enriching our knowledge of nonlinear events that may occur in astrophysical settings and laboratory plasmas, where positive and negative ions, non-extensive electrons and negatively charged static dust grains are available.