Abstract

A theoretical investigation is made to study the properties of dust–acoustic (DA) waves, and corresponding dust–acoustic rogue waves (DARWs) in a magnetized electron-depleted dusty plasma that contains opposite polarity warm dust grains, external magnetic field, and nonextensive distributed ions. By using a multiscale reductive perturbation technique (RPT), the nonlinear Schrödinger (NLS) equation is derived in this model. The effects of magnetic field parameter and nonextensive ions are examined on the profiles of the modulational instability. It is found that with the increase of the magnetic field parameter, the instability growth rate and bandwidth increase (decrease) in the case of positive (negative) nonextensive distributed ions. Moreover, the characteristics (spatial wavelength, width, and amplitude) of nonlinear coherent structures involving the bright and dark solitons, the fundamental and second-order rogue waves are also presented in detail. It is observed that these characteristics are significantly modified by effects of magnetic field parameter and nonextensive ions. The results of the present investigation may be applicable to understanding the characteristics and basic nonlinear structures of magnetized plasma environments both in space and laboratory situations.

中文翻译：

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磁化电子耗尽等离子体中的尘埃声包络孤子和流氓波

摘要

进行了一项理论研究，以研究包含相反极性的暖尘埃颗粒、外部磁场和非扩展性的磁化电子耗尽尘埃等离子体中尘埃-声波 (DA) 波和相应的尘埃-声波 (DARW) 的特性。分布离子。通过使用多尺度还原微扰技术 (RPT)，在该模型中推导出非线性薛定谔 (NLS) 方程。检查了磁场参数和非扩展离子对调制不稳定性曲线的影响。发现随着磁场参数的增加，在正（负）非扩展分布离子的情况下，不稳定性增长率和带宽增加（减少）。此外，特性（空间波长、宽度、和振幅）的非线性相干结构，包括明暗孤子，也详细介绍了基波和二阶流氓波。据观察，这些特性被磁场参数和非扩展离子的影响显着改变。本研究的结果可能适用于了解空间和实验室环境中磁化等离子体环境的特征和基本非线性结构。