On the super positron-acoustic rogue waves in q-nonextensive magnetoplasmas

In this investigation, the modulation of weakly positron-acoustic waves (PAWs) in four-component magnetoplasmas having nonextensive electrons and fluid positrons is reported. Using the derivative expansion technique, the nonlinear Schrödinger equation (NLSE) for the PAWs is derived. In the current magnetoplasma model, the modulational instability (MI) is studied using the linear stability analysis. It is found that the magnetic field parameter contributes to considerably heighten the bandwidth and maximum amplitude of the MI. On the contrary, increasing the hot-to-cold positron density ratio, the electron-to-cold positron density ratio, and the nonextensive parameter leads to diminish the MI maximum amplitude. Within the unstable region, the propagation of the fundamental rogue waves (RWs) and super-RWs solutions of the NLSE are pointed out, whose properties are strongly impacted by the plasma parameter. The obtained results can be used for explaining the acceleration mechanism of static electrostatic wave packets appearing in the auroral region, Earth's ionosphere, and solar wind.