The existence of both subsonic \((M < 1)\) and supersonic \((M > 1)\) compressive \((N > 1)\) solitons within a three-dimensional magnetized plasma model featuring thermal ions and electrons, incorporating electron inertia through the pseudopotential method is established. The study delves into ion-acoustic solitary waves, numerically exploring the dependency of the solitary wave profile on different plasma parameters. The findings suggest that, as the ion temperature \((\alpha )\) increases, both subsonic and supersonic potential profiles exhibit a decrease in amplitude and depth. Furthermore, the study investigates the influence of the Mach number on the potential profile. It reveals that as the Mach number increases in the direction of wave propagation, the amplitude and depth of the potential profile also increase. The findings not only enrich our understanding of the intricate dynamics of plasmas but also provide profound insights with broad applicability, encompassing natural and engineered plasma systems across diverse scientific and technological domains.

在具有热离子和电子的三维磁化等离子体模型中存在亚音速\((M < 1)\)和超音速\((M > 1)\)压缩\((N > 1)\)孤子，建立了通过赝势法结合电子惯性的方法。该研究深入研究了离子声孤立波，以数值方式探索了孤立波轮廓对不同等离子体参数的依赖性。研究结果表明，随着离子温度\((\alpha )\)的增加，亚音速和超音速电势分布都表现出幅度和深度的减小。此外，该研究还调查了马赫数对势能分布的影响。它表明，随着波传播方向马赫数的增加，势能剖面的幅度和深度也会增加。这些发现不仅丰富了我们对等离子体复杂动力学的理解，而且提供了具有广泛适用性的深刻见解，涵盖了跨不同科学和技术领域的自然和工程等离子体系统。