The propagation of nonlinear magnetosonic waves in electron–ion–dust (complex) plasmas has been studied by considering the effects of Bohm potential in the presence of an external magnetic field. By using the quantum hydrodynamic model and applying the reductive perturbation method, the Kadomtsev–Petviashvili (KP) equation is obtained. The compressive structures of magnetosonic solitary waves and periodic travelling waves are studied. The effects of the electron to dust density ratio, the quantum plasma parameter, and the dust equilibrium density on the nonlinear magnetosonic periodic travelling waves are discussed. It is observed that the wave structure is more sensitive to the changes in the ratio of electron to dust densities, as compared to the changes in other physical parameters. The obtained results may be useful for a better understanding of obliquely nonlinear magnetosonic travelling waves of localized structures with a small amplitude in dense magnetized quantum dusty plasmas.

通过考虑在存在外部磁场的情况下的Bohm势的影响，已经研究了非线性磁声波在电子-离子-粉尘​​（复杂）等离子体中的传播。通过使用量子流体动力学模型并应用还原扰动方法，获得了Kadomtsev–Petviashvili（KP）方程。研究了磁声孤立波和周期性行波的压缩结构。讨论了电子与尘埃密度比，量子等离子体参数和尘埃平衡密度对非线性磁声周期行波的影响。可以看出，与其他物理参数的变化相比，波结构对电子与尘埃密度比的变化更敏感。