The propagation of electron acoustic solitary waves is investigated in magnetized two‐temperature electron plasma with supra‐thermal ion. By using the reductive perturbation technique, the Korteweg de‐Vries (KdV) equation is derived. Later solving this equation, a solitary wave solution has been derived. These are mainly in astrophysical plasmas where changes of local charge density, temperature, and energy of particles produce considerable effects on the plasma system. The effects of supra‐thermality, density, and Mach number on solitary structures are studied in detail. The results show that the supra‐thermal index (κ) and ion to electron temperature ratio (σ) alters the regime where solitary waves may exist. While studying the solitary profile for different parametric variation some interesting conclusion can be drawn; it is shown that the solitary profile becomes flatter. This can be due to the thermal energy associated with the hot electrons. However, with the increase in ion density with respect to the cold electrons' density, the solitary waves become steeper and sharper. This is due to the comparatively heavier mass of ions. The density of cold electron also increases the solitary structures in a similar manner. The higher the density of cold electrons, sharper will be the profile. The above findings will be helpful in understanding many astrophysical phenomena and data obtained by space missions. For a further study, we keep the investigation of the formation of other kinds of stationary structures like shocks, double layers, etc.

中文翻译：

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具有超热离子的内磁层等离子体中电子声波中孤立结构和包络孤子的形成

用超热离子研究了磁化的两温电子等离子体中电子声孤波的传播。通过使用还原摄动技术，得出了Korteweg de-Vries（KdV）方程。后来求解该方程，得出了孤立波解。这些主要存在于天体等离子体中，其中局部电荷密度，温度和粒子能量的变化会对等离子体系统产生相当大的影响。详细研究了超热度，密度和马赫数对孤立结构的影响。结果表明，超热指数（κ）和离子电子温度比（σ））改变了可能存在孤立波的状态。在研究不同参数变化的孤立轮廓时，可以得出一些有趣的结论。结果表明，孤立轮廓变得更平坦。这可能是由于与热电子有关的热能。但是，随着离子密度相对于冷电子密度的增加，孤立波变得越来越陡峭和陡峭。这是由于离子质量相对较重。冷电子的密度也以类似方式增加了孤立结构。冷电子的密度越高，轮廓将越清晰。以上发现将有助于理解太空任务获得的许多天体物理现象和数据。为了进一步研究，