In an ion beam plasma system, the effect of magnetically quantised degenerate trapped electron and positron, on small-amplitude ion-acoustic solitary waves are studied with the help of Korteweg–de Vries (KdV) equation. Here the magnetised positive ions and beam ions are considered as non-degenerate. The effect of magnetic quantisation, degenerate temperature, normalised positron concentration, normalised ion beam concentration along with other relevant physical plasma parameters of the origin of astrophysical plasma environment, on solitary wave propagation is studied especially in the nonlinear regime. On the other hand, in the linear regime, the dependency of frequency and wavenumber on the aforementioned plasma parameters are discussed. It is found that both compressive and rarefactive type solitary waves can exist in such a plasma environment. Three different modes of propagation, the fast beam and slow beam modes and the inherent ion-acoustic mode coexist in such plasma systems and the role of different degenerate plasma parameters on these wave modes are also discussed in detail. The normalised positron concentration and velocity, as well as the normalised ion beam concentration along with different degenerate plasma parameters, has an astounding control on the amount of compression and rarefaction, a typical plasma wave mode is supposed to undergo. Within the chosen degenerate and non-degenerate plasma parameters, for a compressive (rarefactive) fast beam mode, the slow mode appears as rarefactive (compressive). For some typical combinations of degenerate parameters, the fast mode can propagate with a hypersonic phase velocity which shows distinctive characteristics with positron density.

在离子束等离子体系统中，借助Korteweg-de Vries（KdV）方程，研究了磁性量化的简并俘获电子和正电子对小振幅离子声孤立波的影响。在这里，被磁化的正离子和束离子被认为是非简并的。特别是在非线性条件下，研究了磁量化，简并温度，归一化正电子浓度，归一化离子束浓度以及天体等离子体环境起源的其他相关物理等离子体参数对孤波传播的影响。另一方面，在线性状态下，讨论了频率和波数对上述等离子体参数的依赖性。发现在这样的等离子体环境中压缩型和稀疏型孤波都可以存在。在这种等离子体系统中，共存在三种不同的传播模式，即快光束模式和慢光束模式，以及固有的离子声模式，并且还详细讨论了不同的简并等离子体参数对这些波模式的作用。归一化的正电子浓度和速度，以及归一化的离子束浓度以及不同的简并等离子体参数，对压缩量和稀疏度都有惊人的控制，应该采用典型的等离子体波模式。在选定的简并和非简并等离子体参数内，对于压缩（反射）快速光束模式，慢速模式显示为稀有（压缩）。对于简并参数的一些典型组合，