Solitary wave solution and dynamic transition of dust ion acoustic waves in a collisional nonextensive dusty plasma with ionization effect

The solitary wave solution and dynamic transition of dust ion acoustic waves (DIAWs) are studied in an unmagnetized collisional dusty plasma, which consists of negatively charged dust fluid, positively charged ions, q-nonextensive electrons, and background neutral particles, considering the ionization effect, ion loss, ion-neutral, ion-dust, and dust-neutral collisions. Using reductive perturbation technique (RPT) the damped Korteweg-de Vries (DKdV) equation and the damped modified Korteweg-de Vries (DMKdV) equation are derived. Using momentum conservation law, dust ion acoustic solitary wave solutions (DIASWSs) are obtained for the DKdV and MDKdV equations. Effects of nonextensive parameter (q) and ion-dust collisional frequency (νid) are presented on the DIASWSs. Effects of ion-dust collisional frequency (νid), ion-neutral collisional frequency (νin) and ion loss rate (νl) on DIAWs are investigated considering an external periodic perturbation through three-dimensional phase portrait and time-series analysis. It is found that νid, νin and νl significantly affect on the dynamics of the perturbed DIAWs and play a pivotal role in the transition from quasiperiodic and chaotic motions to periodic motion.