Oblique propagation of arbitrary amplitude ion-acoustic solitary waves in a nonextensive anisotropic electron–positron–ion magnetoplasma

The statistical mechanics of Tsallis is utilized as a theoretical framework to study the oblique propagation of large-amplitude low-frequency ion-acoustic waves (IAWs) in an electron–positron–ion plasma. A number of anomalous phenomena in astrophysics and outer space physics support nonextensive particle distributions. This is due to the significant influence of long-range gravitational forces and various nonlinear dynamical aspects. Motivated by these applications, this paper explores the existence conditions and nonlinear properties of large-amplitude IAWs in a plasma system composed of anisotropic ion fluid with electrons and positrons modeled by nonextensive distribution. Through Sagdeev’s pseudopotential method, the energy balance equation is established and then subsequently analyzed for physical parameters characteristic of space plasma conditions. Numerical techniques are used to study the existence conditions of the ion-acoustic solitary waves (IASWs). The effect of important plasma parameters on the propagation features of arbitrary IASWs is investigated in detail. It is found that the nonextensivity of plasma species (electrons and positrons) significantly alters the nature of IASWs in anisotropic plasma.