Propagation of nonlinear electron plasma waves is investigated in a fully relativistic election-ion plasma using two-fluid hydrodynamic model. The relationship between pressure and density is assumed to be of polytropic form for relativistic electrons. The conditions for the validity of adiabatic equation of state for electron fluid is also discussed. The well-known pseudopotential approach is employed for arbitrary amplitude wave analysis and superluminous and subluminous wave phase speed cases are discussed in two special frames of references transformed under Lorentz-transformation. The set of model equations is solved analytically as well as numerically to obtain nonlinear periodic wave structures of electron plasma waves in a fully relativistic plasmas. A special case of solitary wave structure formed in subluminous phase speed case is also discussed in detail, which has not been done in the previous published literature. The effects of electron temperature and phase speed ...

中文翻译：

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完全相对论等离子体中的非线性电子等离子体波

使用二流体流体动力学模型研究了完全相对论的选举离子等离子体中非线性电子等离子体波的传播。对于相对论电子，假定压力和密度之间的关系是多方形式。还讨论了电子流体绝热状态方程有效性的条件。众所周知的伪势方法用于任意振幅波分析，并在经过Lorentz变换的两个特殊参考框架中讨论了超光和亚光波的相速度情况。该模型方程组通过解析和数值求解，以获得完全相对论性等离子体中的电子等离子体波的非线性周期波结构。还详细讨论了在亚光相速度情况下形成的孤立波结构的特殊情况，在以前的公开文献中没有做过。电子温度和相速度的影响...