Magnetosonic Rogue Waves in Pair IoN Plasma

The study of the propagation properties of magneto sonic waves are of great interest because of their important roles in plasma heating and acceleration of charged particles. They are often observed in earth's magnetosphere, laboratory plasmas and in solar wind plasmas. Magnetosonic wave is a kind of fundamental mode in magnetized plasma which propagates in the perpendicular direction of external magnetic field. The term pair-ion is generally referred to a plasma containing oppositely charged ions with nearly the same mass. Electron-positron plasma is an example of pair plasma and such pair ion plasma exists in pulsar magnetosphere, neutron stars and active galactic nuclei. Rogue waves are highly energetic waves with large amplitudes and have a small possibility of appearing instantly. Rogue waves are studied from the rational solutions of nonlinear Schrodinger equation (NLSE). Keeping in view the importance of rogue waves, magneto sonic rogue waves in pair-ion plasma are investigated. As per our knowledge, no investigation for magneto sonic rogue waves in pure pair-ion plasma has been reported so far. Thus, it seems interesting to investigate the nonlinear magneto sonic rogue waves in such type of plasma. We have considered two dimensional nonlinear magneto sonic rogue waves propagating perpendicular to the applied magnetic field in pair ion plasma. Kadomstev-Petviashvili (KP) equation is obtained using reductive perturbation technique and on modulating KP equation, NLSE is derived. Various parameters such as strength of magnetic field, electron temperature etc, significantly modify the characteristics of rogue wave profile. Both first- and second- order magnetosonic rogue wave profiles are studied. The results of present study may be useful to understand insight physics of magneto sonic rogue waves in supernova explosions, star formation etc.