The linear and weakly nonlinear dust-ion-acoustic wave propagation obliquely to an external magnetic field is studied in a magnetized dusty plasma which consists of magnetized fluid ions bearing with anisotropic pressure, suprathermal electrons, and static dust grains. In the linear regime, the magnetized dusty plasma supports the propagation of the fast electrostatic dust-ion-cyclotron (EDIC) and the slow electrostatic dust-ion-acoustic (DIA) modes. The effects of different parameters on the two modes are outlined. In the weakly nonlinear regime, a reductive perturbative technique (RPT) is used to derive a modified equation of propagation of the electrostatic potential modified by the presence of a magnetic field and the ion pressure anisotropy. Particular equations of propagations are covered in the case of unmagnetized anisotropic plasma and the case of a strong magnetic field. It is found numerically that the modified equation of propagation admits compressive and rarefactive solitary waves with amplitudes and widths values increase with the increase of the values of the ion perpendicular pressure. The strength of the magnetic field only affects the width of the two structures. For particular values of plasma parameters, periodic, quasi-periodic, and chaotic nonlinear oscillations are numerically investigated. This chaotic behavior is corroborated by the positivity of one of the Lyapunov exponents.

研究了与外部磁场倾斜的线性和弱非线性尘埃离子声波在磁化尘埃等离子体中的传播，该等离子体由具有各向异性压力的磁化流体离子、超热电子和静态尘埃颗粒组成。在线性状态下，磁化尘埃等离子体支持快速静电尘埃离子回旋加速器 (EDIC) 和慢静电尘埃离子声学 (DIA) 模式的传播。概述了不同参数对两种模式的影响。在弱非线性区域中，使用还原微扰技术 (RPT) 来推导静电势传播的修正方程，该方程由磁场和离子压力各向异性的存在修正。在未磁化的各向异性等离子体和强磁场的情况下，涵盖了特定的传播方程。从数值上发现，修正的传播方程允许压缩和稀有孤立波的振幅和宽度值随着离子垂直压力值的增加而增加。磁场强度只影响两个结构的宽度。对于等离子体参数的特定值，对周期性、准周期性和混沌非线性振荡进行了数值研究。Lyapunov 指数之一的正性证实了这种混沌行为。从数值上发现，修正的传播方程允许压缩和稀有孤立波的振幅和宽度值随着离子垂直压力值的增加而增加。磁场强度只影响两个结构的宽度。对于等离子体参数的特定值，对周期性、准周期性和混沌非线性振荡进行了数值研究。Lyapunov 指数之一的正性证实了这种混沌行为。从数值上发现，修正的传播方程允许压缩和稀有孤立波的振幅和宽度值随着离子垂直压力值的增加而增加。磁场强度只影响两个结构的宽度。对于等离子体参数的特定值，对周期性、准周期性和混沌非线性振荡进行了数值研究。Lyapunov 指数之一的正性证实了这种混沌行为。