The research addresses the dynamics of nonlinear magnetoacoustic waves in magnetized plasmas, crucial for understanding shock waves in plasma systems, with applications in astrophysics, fusion, and space physics. The present paper uses a multi-scale perturbation method to analyze shock wave formation in magnetized plasmas under external magnetic fields. It finds that the shock wave amplitude increases with stronger magnetic fields and perturbation intensity, while ion density and temperature only have slight effects on wave characteristics. The key breakthrough lies in simplifying plasma dynamics using the Burgers equation, offering clearer insights into plasma shock behavior. The results contribute valuable data for understanding and controlling shock waves in laboratory and space plasma environments. The findings provide insights into plasma wave control, with applications in fusion energy, astrophysical shock wave studies, and space plasma research.
Fan et al. (Fri,) studied this question.