A standard nonlinear Schrödinger equation has been established by using the reductive perturbation method to investigate the propagation of electrostatic dust‐acoustic waves, and their modulational instability as well as the formation of localized electrostatic envelope solitons in an electron‐depleted unmagnetized dusty plasma system comprising opposite polarity dust grains and super‐thermal positive ions. The relevant physical plasma parameters (viz., charge, mass, number density of positive and negative dust grains, and super‐thermality of the positive ions, etc.) have rigorous impact to recognize the stability conditions of dust‐acoustic waves. The present study is useful for understanding the mechanism of the formation of dust‐acoustic envelope solitons associated with dust‐acoustic waves in the laboratory and space environments.

中文翻译：

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贫电子等离子体中的静电尘声包络孤子

通过使用还原扰动方法建立了标准的非线性Schrödinger方程，以研究静电尘埃声波的传播，其调制不稳定性以及在电子贫化的未磁化尘埃等离子体系统中的局部静电包络孤子的形成，该系统包括极性尘埃和超热正离子。相关的物理等离子体参数（即，电荷，质量，正负尘埃粒子的数量密度以及正离子的超热性等）对于识别尘埃声波的稳定性条件具有严格的影响。本研究有助于理解实验室和太空环境中与声波相关的尘声包络孤子的形成机理。