Head-on Collision of Ion-Acoustic Solitary Waves with Two Negative Ion Species in Electron–Positron–Ion Plasmas and Production of Rogue Waves

Abstract

The interactions between ion acoustic solitary waves (IASWs) are investigated considering completely ionized electron–positron–ion (e–p–i) plasmas consisting of ions with positive and two negative species, nonthermal electrons, and positrons. Two-sided Korteweg–de Vries (KdV) and modified KdV (mKdV) equations are derived using extended Poincaré–Lighthill–Kuo (ePLK) reductive perturbation method. To investigate the production of ion-acoustic rogue waves (IARWs), the rational solution of nonlinear Schrödinger equation (NLSE) is derived from the mKdV equation. Two types of plasmas containing \({\text{A}}{{{\text{r}}}^{ + }}\), \({{{\text{F}}}^{ - }}\), and \({\text{SF}}_{{\text{5}}}^{ - }\) species, as well as \({\text{SF}}_{{\text{5}}}^{ + }\), \({{{\text{F}}}^{ - }}\), and \({\text{SF}}_{{\text{5}}}^{ - }\) species, are taken into account to study their effects on the amplitudes and phase shifts after collision, as well as the production and properties of rogue waves (RWs). It is observed during collision that a high-amplitude wave is produced in the interaction region depending on the type and parameters of plasmas. The nonthermality of electrons and positrons, electron-to-positron temperature ratio, and the density of negative ions modify the phase shift and amplitude of the waves produced during the collision of the two solitons. The amplitude of the RW for the \({\text{A}}{{{\text{r}}}^{ + }}\), \({{{\text{F}}}^{ - }}\), and \({\text{SF}}_{{\text{5}}}^{ - }\) plasmas is found to be larger than that for the \({\text{SF}}_{{\text{5}}}^{ + }\), \({{{\text{F}}}^{ - }}\), and \({\text{SF}}_{{\text{5}}}^{ - }\) plasmas.