Shear Alfvén Waves in a Magnetized Electron–Positron Plasma

A theoretical investigation of high-frequency shear Alfvén waves is made in a magnetized relativistic rotating electron-positron (e-p) plasma. The derivative nonlinear Schrödinger equation (DNSE) is derived by employing the reductive perturbation technique. A stationary solitary solution of DNSE is derived, which is used to analyze the basic properties (amplitude, width, etc.) of shear e-p Alfvén (SEPA) solitons. Different intrinsic plasma parameters (namely, positrons thermal energy to electrons thermal energy ratio and relativistic effects, etc.) are seen to influence the basic properties of SEPA waves significantly. It is found that the SEPAs have new features with high time and small length scales. The phase speed of the waves is seen to increase with the relativistic parameter while it decreases with the increase of positron-to-electron (p-e) thermal energy ratio. It is also observed that both the soliton's amplitude and width increase with the increase of p-e thermal energy ratio, which are independent of rotational frequency. Our findings are useful to understand e-p plasma in the rotational astrophysical object.