In this paper, we have studied the propagation of non‐linear ion‐acoustic waves in a plasma comprising of (r, q)‐distributed electrons and kappa‐distributed positrons. We have investigated the effect of complete electron distribution profile on the propagation of small, as well as arbitrary, amplitude solitons (via pseudopotential technique) by using generalized (r, q) distribution, which exhibits a spiky and flat top nature at low energies and a super‐thermal tail at high energies. Interestingly, for negative values of r, solitons are formed with both polarities, positive (compressive) and negative (rarefactive), separately within a small amplitude limit and exist simultaneously in an arbitrary amplitude limit. We also found that the propagation of solitons has been affected by the change in parameters r, q, positron concentration, and electron to positron temperature ratio. The results presented in this study add to the fundamental understanding of the complete profile of the electron distribution function, high‐ and low‐energy parts, and in the formation of compressive and rarefactive small and finite amplitude solitons in both space and astrophysical plasmas.

中文翻译：

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具有（r，q）分布电子和κ正电子的e-p-i等离子体中的离子声孤立波

在本文中，我们研究了由（r，q）分布的电子和κ分布的正电子组成的等离子体中非线性离子声波的传播。我们通过使用广义（r，q）分布研究了完整的电子分布轮廓对小振幅以及任意振幅孤子（通过伪势技术）的传播的影响，该分布在低能量和高能量下表现出尖峰和平坦的顶部特性高能量的超热尾巴。有趣的是，对于r的负值，孤子在小幅度限制内分别以正（压缩）和负（反射）两种极性形成，并同时以任意幅度限制存在。我们还发现，孤子的传播受参数r，q，正电子浓度以及电子与正电子温度比的变化影响。这项研究提出的结果增加了对电子分布函数，高能和低能部分的完整分布以及在空间和天体等离子体中压缩和稀疏的小振幅有限孤子的基本理解。