Electrostatic rogue waves in double pair plasmas

Abstract

A nonlinear Schrödinger equation is derived to investigate the modulational instability of ion-acoustic (IA) waves (IAWs) in a double pair plasma system containing adiabatic positive and negative ion fluids along with super-thermal electrons and positrons. The analytical analysis predicts two types of modes, viz., fast ( ${\omega }_f$ ) and slow ( ${\omega }_s$ ) IA modes. The possible stable and unstable parametric regions for the IAWs in the presence of external perturbation can be observed for both ${\omega }_f$ and ${\omega }_s$ . The number density of the negative ions and positrons plays a vital role in generating the IA rogue waves in the modulationally unstable region. The applications of our present work in astrophysical environments [viz., D-region (H ${}^{+}$ , O ${}_2^{-}$ ) and F-region (H ${}^{+}$ , H ${}^{-}$ ) of the Earth's ionosphere] and in laboratory plasmas [viz., pair-ion fullerene (C ${}^{+}$ , C ${}^{-}$ )] are pinpointed.