Abstract

The modifications, which arise from ultra-relativistic and degenerate effects of electrons and positrons as well as the chemical potentials in the basic features of three-dimensional isothermal ion acoustic shock waves (IIASWs) propagating in magnetized electron–positron–ion (e–p–i) plasmas are studied. The cold ions are considered to be magnetized and inertial, while the small particles (i.e., electrons and positrons) are taken to obey the Fermi–Dirac statistics. The well-known reductive perturbation analysis is applied to obtain the nonlinear Zakharov–Kuznetsov–Burgers equation (NZKBE). The analytical shock wave solution is obtained by employing the tanh technique. Furthermore, the asymptotic behavior and the stability of the shock structures are discussed. In the current model, the disturbances of nonlinear isothermal ion acoustic waves are found to exhibit only monotonic IIASWs. The consequences of the chemical potential, the presence of ultra-relativistic degenerate electrons and positrons, and magnetic field on the essential properties of three-dimensional IIASWs are numerically examined. The numerical investigations give rise to significant high lights on the propagation and the dynamic behavior of IIASWs. It is found that the amplitudes of the monotonic IIASWs decrease with chemical potentials of ultra-relativistic degenerate electrons and positrons increase.

中文翻译：

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超相对论简并电子正电子离子磁浆中的三维等温离子声波

摘要

这些修饰是由于电子和正电子的超相对论和简并效应以及在磁化电子-正电子-离子（e-p）中传播的三维等温离子声波（IIASWs）基本特征中的化学势引起的。 –i）研究了等离子体。冷离子被认为是磁化的和惯性的，而小颗粒（即电子和正电子）被认为服从费米-狄拉克统计。应用著名的还原摄动分析来获得非线性的Zakharov–Kuznetsov–Burgers方程（NZKBE）。通过使用tanh技术获得分析激波解决方案。此外，还讨论了冲击结构的渐近行为和稳定性。在当前模型中，发现非线性等温离子声波的扰动仅表现出单调的IIASW。数值研究了化学势，超相对论简并电子和正电子的存在以及磁场对三维IIASW的基本性质的影响。数值研究引起了IIASW的传播和动力学行为方面的重大关注。研究发现，随着超相对论简并电子的化学势的增加，单调IIASW的振幅减小，正电子增加。数值研究引起了IIASW的传播和动力学行为方面的重大关注。研究发现，随着超相对论简并电子的化学势的增加，单调IIASW的振幅减小，正电子增加。数值研究引起了IIASWs的传​​播和动力学行为方面的重大关注。研究发现，随着超相对论简并电子的化学势的增加，单调IIASW的振幅减小，正电子增加。