Dissipative ion-acoustic solitary structures in magneto-rotating collisional non-Maxwellian plasmas in the framework of a forced damped Zakharov-Kuznetsov approach

This work examines low-frequency ion-acoustic solitary structures in a weakly rotating, magnetized, collisional electron-positron-ion plasma. In this model, the electrons and positrons obey a q -nonextensive distribution, while ions are treated as a warm fluid subject to ion-neutral collisions and an externally applied periodic force. By employing the reductive perturbation technique, the governing fluid and Poisson equations are reduced to a forced damped Zakharov-Kuznetsov (FDZK) equation that consistently incorporates four key physical ingredients in a unified framework: nonextensive statistics, collisional dissipation, Coriolis effects due to plasma rotation, and external energy injection through a periodic source term. In the collisionless, force-free limit, an exact compressive solitary wave solution of the underlying Zakharov–Kuznetsov equation is obtained, and the corresponding pseudo-potential analysis clarifies the constraints on the existence region of ion-acoustic solitary waves and their polarity. For weak damping and finite periodic forcing, approximate time-dependent solitary solutions of the FDZK equation are constructed using energy-type conservation arguments, allowing the combined impact of dissipation and external driving on the soliton profile (amplitude, width, and speed) to be quantified. The impact of various related parameters on the dissipative soliton profiles is numerically investigated. These findings offer a physically transparent picture of how nonthermal statistics, rotation, and external excitations jointly shape nonlinear ion-acoustic dynamics in realistic space and laboratory plasmas, such as planetary and pulsar magnetospheres, the solar wind, and magnetized laboratory devices.