Effect of q-nonextensive distribution of electrons on dust-ion acoustic solitons

Abstract

The propagation of nonlinear waves in plasmas consisting of a cold electron fluid and nonextensive hot electrons and stationary ions is studied. By using the reductive perturbation theory, the Korteweg-de Vries (KdV) equation is derived. It is shown that the amplitude of solitary waves of the KdV equation diverges at the critical values of plasma parameters. We derive solitons of a modified Korteweg-de Vries (mKdV) equation with finite amplitude in this situation. It is found that both compressive and rarefractive solitons as well as double layers exist depending on the q-nonextensive parameter. The q-parameter also affects the double layers. Our investigation is of wide relevance to astronomers and space scientists working on interstellar space plasmas.