Nonlinear Ion-Acoustic Waves in Relativistic Electron-Positron-Ion Plasma: Liner and Higher Order Nonlinear Effects

摘要

The propagation of small amplitude nonlinear electrostatic waves in weakly relativistic e-p-i plasma is investigated. The basic set of fluid equations are reduced to a Korteweg-de-Vries (K-dV) equation coupled to a linear inhomogeneous equation for the first and second-order perturbed potential corrections, respectively. The system is solved via a renormalization method. It is shown that to increase the ratio of the positron to the electron density (p = n_(p,0)/n_(e,0)), the ratio of the ion temperature to the electron temperature (σ = T_i/T_e) the amplitude and width ion acoustic waves increases. The higher-order nonlinearity effects also investigated.