Modified Korteweg–de Vries solitons with quartic nonlinearity in a dusty plasma

Abstract

The present multicomponent dusty plasma with ions, Cairn’s distributed electrons and immobile dusts has been investigated first time through modified Korteweg-de Vries (mKdV) equation of quartic nonlinearity derived by reductive perturbation technique. In this new investigation, it is found that the dust ion-acoustic (DIA) solitary waves have smaller amplitudes compared to the amplitudes of mKdV-DIA compressive solitons of our previous investigation [38]. Roles of non-thermal parameter β, dust to ion density ratio σ, number of dust charge Zd and initial streaming speed of ion ui0 in the growth of amplitudes and widths of this new mKdV-DIA solitons are investigated.