Nonlinear Compressional Alfvén Waves in a Fully Relativistic Electron–Positron Plasma

A theoretical investigation has been carried out to study the nonlinear propagation of high-frequency electromagnetic (EM) waves in a magnetized relativistic rotating electron-positron plasma. The Korteweg-de Vries (K-dV) equation is derived by employing the reductive perturbation technique. The steady-state solution of K-dV equation is used to analyze the basic properties of small amplitude high-frequency compressional electron-positron Alfvén (CEPA) solitons. It is observed that opposite polarity electron-positron plasma medium under consideration supports the CEPA solitons having new features with time (fast) and length (small) scales. It is also found that both the amplitude and width of the solitons increase with the increase of positron thermal energy to electron thermal energy ratio which are independent of rotational frequency. The findings of this investigation may be used in understanding the nonlinear EM waves phenomena in space, rotating astrophysical plasmas, and laboratory plasmas.