Here we studied a plasma evolution with the effect of supper-thermal and trapped electrons, which cause Lorentzian distribution function. To do this, we use a set of equations, consists of continuity, Vlasov and Poisson. Using linear approximation for this set of equations, one can achieve modified KdV equation analytically which has stationary soliton solutions. As it is expected, in our simulation several ion-aqustic soliton structures were engendered from an initial localized perturbation that was a Gaussian profile. To validate our simulation, it was compared to numerical solution of mKdV equation. Then we use our simulation for large amplitudes, and compare the effect of different trapping and non-maxwellian parameters on generated solitons.

Keywords: electrons, Lorenzian distribution function, Soliton, simulation, Vlasov equation, mKdV equation

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