Bifurcation and Quasiperiodic Behaviors of Ion Acoustic Waves in Magnetoplasmas with Nonthermal Electrons Featuring Tsallis Distribution

Bifurcation and quasiperiodic behaviors of ion acoustic waves in electron-ion magnetoplasmas with nonthermal electrons featuring Cairns-Tsallis distribution have been investigated on the frameworks of non-perturbed and perturbed Kadomtsev-Petviashvili (KP) equations, respectively. Employing the reductive perturbation technique (RPT), we have derived the KP equation in electron-ion magnetoplasmas with nonthermal electrons featuring Cairns-Tsallis distribution. Bifurcations of ion acoustic traveling waves of the KP equation have been presented. Using the bifurcation theory of planar dynamical systems, the existence of solitary wave solutions and periodic traveling wave solutions has been established. Three analytical solutions of these waves have been derived depending on the system parameters. Considering an external periodic perturbation, we have presented the quasiperiodic behavior of ion acoustic waves in electron-ion magnetoplasmas.