Large amplitude electromagnetic solitons in a fully relativistic magnetized electron-positron-pair plasma

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Large amplitude electromagnetic solitons in a fully relativistic magnetized electron-positron-pair plasma

Banerjee, Gadadhar / Dutta, Sayantan / Misra, A.P.

Highlights • Eelectromagnetic solitary waves can propagate as compressive or rarefactive type solitons. • The electromagnetic solitons exist symmetrically for the wave magnetic field. • Both the sub-Alfvénic and super-Alfvénic solitons exist in the weakly relativistic regime. • Only sub-Alfvénic solitons exist in the ultrarelativistic regime.

Abstract Nonlinear propagation of purely stationary large amplitude electromagnetic (EM) solitary waves in a magnetized electron–positron (EP) plasma is studied using a fully relativistic two-fluid hydrodynamic model which accounts for physical regimes of both weakly relativistic $(P ≪ {nmc}^{2})$ and ultrarelativistic $(P ≫ {nmc}^{2})$ random thermal energies. Here, P is the thermal pressure, n the number density and m the mass of a particle, and c is the speed of light in vacuum. While both the sub-Alfvénic and super-Alfvénic solitons coexist in the weakly relativistic regime, the ultrarelativistic EP plasmas in contrast support only the sub-Alfvénic solitons. Different limits of the Mach numbers and soliton amplitudes are also examined in these two physical regimes.