We used a new distribution of electrons in a two-component magnetized plasma to study the non-linear ion-acoustic solitary structures. The distribution called “Cairns–Gurevich distribution” describes simultaneously the evolution of the energetic electrons and those trapped in the plasma potential well. A modified KdV equation describing the non-linear comportment of the ion-acoustic wave (IAW) was found by using the standard reductive perturbation technique and the appropriate independent variables. The behaviour of the soliton by changing the plasma parameters has been investigated, and we demonstrated that by decreasing the non-thermality parameter, the soliton solution amplitude is enhanced. In addition, we have discussed the growth rate of the solitary waves by calculating the instability criterion. Through discussion, we have conferred how different plasma parameters, such as the trapping, non-thermality, Mach number, obliqueness via the angle of propagation, and magnetic field via the ion-cyclotron frequency, can affect the solitary wave structures. This kind of theoretical studies can be relevant to understand the non-linear propagation of IA solitary waves plasmas of electrons and particles in laser-plasma interaction, pulsar magnetosphere, the auroral zone, and the upper ionosphere, where plasma with trapped and energetic electrons are often present.

中文翻译：

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Cairns-Gurevich 分布电子对斜向传播的离子声波的作用

我们在双组分磁化等离子体中使用了一种新的电子分布来研究非线性离子声孤立结构。称为“凯恩斯-古列维奇分布”的分布同时描述了高能电子和被困在等离子体势阱中的电子的演化。通过使用标准的还原微扰技术和适当的自变量，发现了描述离子声波 (IAW) 非线性分量的修正 KdV 方程。通过改变等离子体参数研究了孤子的行为，我们证明了通过降低非热性参数，孤子溶液振幅得到增强。此外，我们通过计算不稳定性准则讨论了孤立波的增长率。通过讨论，我们已经讨论了不同的等离子体参数，例如俘获、非热性、马赫数、传播角度的倾斜度和离子回旋频率的磁场，如何影响孤立波结构。这种理论研究可能有助于理解激光-等离子体相互作用、脉冲星磁层、极光带和电离层上部电子和粒子的 IA 孤立波等离子体的非线性传播，在那里，具有被俘获和高能电子的等离子体在经常出现。