Generalized Nonthermal Polarization Force Acting on Dust Particles in a Three-Component Nonextensive Complex Plasma

The present article explores the effects of nonthermal nonextensive polarization force on nonlinear dust acoustic (DA) soliton and its energy. The nonthermal (or Cairns) polarization force (PF) acting on dust grains in a three-component unmagnetized dusty plasma is then revisited within the theoretical framework of the Tsallis statistical mechanics. Thus, a new PF expression is derived whose intensity
$R$
is sensibly affected and modified by the nonthermal nonextensive ions. Interestingly, we have shown that the nonextensivity makes the PF stronger while the nonthermality weakens it. Next, the principal modifications induced by Cairns–Tsallis PF on nonlinear DA solitons and its transported energy are investigated. In particular, we have found that for any value of nonextensive parameter
$q$
, the presence of Tsallis–Cairns PF makes the amplitude larger. Besides, we have remarked that when
$R$
increases (i.e., the magnitude of the PF approaches that of the electric force), the energy carried by the DA soliton undergoes depletion.