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In the present study, the effects of non-thermal and nonextensive distribution of electrons on the soliton propagation in plasma system containing Boltzmann positrons have been studied. Using Reductive Perturbation method, Korteweg-de Vries (K-dV), modified K-dV (mK-dV) and Gardner equations are derived for electron-positron-ion (e-p-i) plasma system. The soliton solution of the Gardner equation is discussed in detail. Results have been interpreted in the form of graphs. It is found that for a given set of parameters, there exists a critical value of q (i.e, qc) below which only rarefactive K-dV solitons exist and above it compressive K-dV solitons exist. However, both positive and negative mK-dV and Gardner potential structures exist at the critical value of nonextensivity. The present investigation may help us to understand the electrostatic perturbations in laboratory and space plasmas.

Gardner Solitons in Electron-Positron-Ion Plamsa Featuring Cairns-Tsallis Electrons