The linear and nonlinear properties of dust‐electron acoustic waves (DEAWs) propagating in magnetized, collisionless, dusty plasma system containing inertial cold electrons, Maxwellian hot electrons, nonthermal ions, and arbitrarily (positively or negatively) charged stationary dust are investigated. The reductive perturbation technique is employed to reduce the basic set of fluid equations to the modified Korteweg‐de Vries equation or Ostrovsky's equation, which governs the dynamics of small amplitude DEAWs in a weakly magnetized dusty nonthermal plasma. The approximate analytical as well as numerical solutions reveal that the basic characteristics of DEA nonlinear structures are found to be significantly modified by the key plasma configuration parameters. It is found that the leading compressive or rarefactive solitary wave structure separates from a trailing wave packet during a considerable time under the influence of magnetic field‐induced Lorentz force.

中文翻译：

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尘埃电声波在弱磁化尘埃非热等离子体中的传播特性

研究了在包含惯性冷电子，麦克斯韦热电子，非热离子以及任意（带正电或带负电）固定尘埃的磁化，无碰撞，尘埃等离子体系统中传播的尘埃电子声波（DEAW）的线性和非线性特性。还原摄动技术用于将基本的流体方程组简化为改进的Korteweg-de Vries方程或Ostrovsky方程，该方程控制弱磁化尘埃非热等离子体中小振幅DEAW的动力学。近似分析和数值解表明，DEA非线性结构的基本特征被关键的等离子体配置参数显着改变。