Cylindrical Three Dimensional Dust–Ion–Acoustic Solitary Waves in Nonthermal Plasmas

Abstract

Cylindrical three dimensional dust–ion–acoustic (DIA) solitary waves (SWs) in a complex plasma medium consisting of nonthermal electrons, adiabatically warm ions, and immobile positively charged dust (PCD) species are studied. The reductive perturbation method, which is valid for small but finite amplitude waves, is used to derive the (3 + 1)-dimensional cylindrical Kadomstev–Petviashvili (cKP) equation (also known as cylindrical Korteweg–de Vries equation). The parametric regimes for the existence of solitary structures are shown. The plasma model under consideration supports both the positive and negative DIA SWs. Moreover, the effects of the physical plasma parameters (the ratio of the dust to ion number density, the nonthermal parameter, etc.) on the basic features (amplitude, width, and speed, etc.) of DIA SWs are discussed. Depending on the plasma parameters (the PCD and ion number density ratio, nonthermality of electron, and temperature ratio of ion and electron) the solitary pulses change their polarity. The present investigation may be helpful to the understanding of the properties of the DIA SWs in different astrophysical plasma environments as well as in laboratory devices.