Propagation of Nonlinear Waves in Multi-Component Pair Plasmas and Electron-Positron-Ion Plasmas

Abstract: The propagation of small amplitude stationary profile nonlinear solitary waves in a pair plasma is investigated employing the reductive perturbation technique via well-known Korteweg de Vries (KdV) and modified KdV (mKdV) equations, we tend to derive the exact form of nonlinear solutions, and study their characteristics. Two distinct pair ion species are considered of opposite polarity and same mass, additionally to a massive charged background species, that is assumed to be stationary, given the frequency scale of interest within the pair ion context, the third species is thought of as a background defect (e.g. charged dust) component. On the opposite hand, the model conjointly applies formally to electron positron ion (epi) plasmas, if one neglects electron positron annihilation. A parametric analysis is carried out, as regards the impact of the dusty plasma composition (background number density), species temperature(s) and background species. It is seen that distinguishable solitary profiles are observed for KdV and mKdV equations. The results are of connection in pair ion (fullerene) experiments and additionally potentially in astrophysical environments, e.g. in pulsars.