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 $(P\ll nmc^2)$ and ultrarelativistic $(P\gg nmc^2)$ 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. Previous theory in the literature [Phys. Plasmas \textbf{11}, 3078 (2004)] is advanced and generalized by the relativistic thermal motion of both electrons and positrons. While both the sub-Alfv{\'e}nic and super-Alfv{\'e}nic solitons coexist in the weakly relativistic regime, the ultrarelativistic EP plasmas in contrast support only the sub-Alfv{\'e}nic solitons. Different limits of the Mach numbers and soliton amplitudes are also examined in these two physical regimes.

中文翻译：

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完全相对论磁化电子-正电子对等离子体中的大振幅电磁孤子

使用完全相对论的双流体流体动力学模型研究了磁化正负电子 (EP) 等离子体中纯平稳大振幅电磁 (EM) 孤立波的非线性传播，该模型解释了弱相对论 $(P\ll nmc^ 2)$ 和超相对论 $(P\gg nmc^2)$ 随机热能。这里，$P$ 是热压，$n$ 是数密度，$m$ 是粒子的质量，$c$ 是真空中的光速。文献中的先前理论 [Phys. Plasmas \textbf{11}, 3078 (2004)] 被电子和正电子的相对论热运动推进和推广。虽然 sub-Alfv{\'e}nic 和 super-Alfv{\'e}nic 孤子共存于弱相对论体系中，但相比之下，超相对论 EP 等离子体仅支持 sub-Alfv{\'e}nic 孤子。