On the (non)linear dynamics of low-frequency dissipative ion-acoustic structures in nonextensive collisional magneto-rotating plasmas

A rotating magnetized electron-positron-ion (e-p-i) plasma where ions collide with atoms or molecules is considered to investigate the impact of Coriolis force, dissipation, and ion temperature on the occurrence and oblique propagation of ion-acoustic solitary waves (IASWs). The densities of positrons and electrons are modeled by the q-nonextensive distribution. From the linear study, the dispersion relation is established. We found that the frequency of waves following the parallel component is unaffected by the magnetic field and the plasma rotation frequency. Only the transverse component depends on them. For short wavelengths, the Coriolis force and the temperature of ions significantly impact the wave frequency. Based on the reductive perturbation technique, the planar damped Korteweg-de Vries (Kdv) and planar damped modified KdV (mKdV) equations were derived, and localized solutions for these equations were obtained. For a particular value of the nonextensive index q, the KdV equation becomes invalid for describing the dynamics of IASWs. Below (above) this critical value, rarefactive (compressive) waves exist. The numerical analysis shows that the Coriolis force, the nonextensive parameter, the propagation angle, the ion temperature, and the collision frequency considerably influence the dispersion and the wave profile. In particular, the analysis reveals that the collision effect strongly attenuates the amplitude of waves. The widths of IASWs decrease with the Coriolis force and ion temperature. The increase in the temperature of the ions leads to an increase (a decrease) in the wave amplitude in the planar KdV (mKdV) equation. The current investigations may help understand localized electrostatic structures in space and the phenomena observed in rotating plasmas in astrophysical and terrestrial environments.