Rogue Waves in a Weakly Relativistic Warm Plasma with Non-extensively Distributed Electrons

Modulational instability (MI) of ion acoustic waves (IAWs) in a weakly relativistic warm adiabatic unmagnetized plasma whose constitutes are ion fluid and q-non-extensively distributed electrons, using a reductive perturbation technique (multiple scales) is investigated. The domain of the stability and instability is determined. The solution of ion acoustic rogue waves (IARWs) are found. The effect of the physical parameters such as relativistic factor u(0)/C and temperature ratio T-i/T-e (T-i is the ion temperature and T-e is the electron temperature) as well as the distribution parameter q on the instability of the system and rogue wave (RW) width and amplitude are studied. Finally, the validity of our results in various regions in astrophysical plasma is briefly discussed.