Abstract

Modulational instability of dust-acoustic waves, which propagate in an opposite polarity dusty plasma system containing inertial warm negatively and positively charged massive dust grains as well as nonextensive q-distributed electrons and ions has been theoretically investigated. The nonlinear Schrödinger equation is derived by employing the reductive perturbation method. The nonlinear Schrödinger equation predicts the conditions of the modulational instability of dust-acoustic waves and the formation of dust-acoustic rogue waves in a nonlinear and dispersive plasma medium. It is observed that the basic features of the dust-acoustic rogue waves (viz., amplitude and width) are significantly modified by the various plasma parameters such as nonextensivity of electrons and ions, electron number density, electron temperature, ion number density, ion temperature, the mass and number density of the dust grains, etc. The application of the results in space and laboratory opposite polarity dusty plasma is briefly discussed.

中文翻译：

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具有非扩展统计量的相反极性多灰尘等离子体中的尘埃流氓波

摘要

尘埃声波的调制不稳定性，其在相反极性的尘埃等离子体系统中传播，该系统包含惯性的带负电和带正电的大块尘埃颗粒以及不广泛的q理论上已经研究了分布电子和离子。非线性薛定ding方程是采用还原摄动法导出的。非线性薛定ding方程预测了在非线性弥散等离子体介质中尘埃声波的调制不稳定性和尘埃流氓波形成的条件。可以看到，尘埃声流氓波的基本特征（即振幅和宽度）被各种等离子体参数显着地改变，例如电子和离子的非扩展性，电子数密度，电子温度，离子数密度，离子温度，尘埃颗粒的质量和数量密度等。简要讨论了该结果在空间和实验室中极性相反的尘土等离子体中的应用。