Dust acoustic solitons in a positively charged dust plasma with regularized-κ distributed electrons in the presence of generalized polarization force

The propagation features of dust acoustic waves in a three-component plasma system composed of regularized Kappa distributed electrons, Maxwellian ions, and dust grains carrying positive charges are investigated. The reductive perturbation technique is employed to derive the KdV equation. A generalized expression for the polarization force is derived and the effect of the polarization force is taken into consideration as well. The bifurcation analysis is used, and the solitary wave solution was investigated. The critical value of the superthermal spectral index kappa is introduced at which the solitonic structure turns up from rarefactive to compressive. It is found that in the range 0 < kappa < 2.23, a rarefactive structure is obtained while the compressive structure appears for kappa > 2.23. In addition, it is found that by increasing the value of cutoff parameter alpha, the polarization strength increases too. All the obtained results are helpful to investigate the characteristics of the nonlinear wave propagating in the mesosphere region.