Small amplitude Bernstein–Greene–Kruskal solitary waves in a thermal charge-varying dusty plasma

Abstract

Small amplitude electrostatic solitary Bernstein–Greene–Kruskal (BGK) waves are investigated in an unmagnetized thermal charge-varying dusty plasma. The well-known pseudopotential analysis is used. It is found that under certain conditions spatially localized structures, the height and nature of which depend sensitively on the plasma parameters, can exist. The effects of ion temperature, equilibrium dust charge, dust dynamics, and dust size on the properties of these solitary waves are discussed. This investigation may be taken as a prerequisite for the understanding of the solitary dust BGK waves that may occur in space and laboratory plasmas.