Abstract A theoretical investigation is presented for dust-acoustic (DA), Gardner solitons (GSs), and double layers (DLs) in a magnetized cryogenic plasma system. The plasma consists of inertial negatively charged dust, Boltzmann distributed electrons, and ions, all existing in a quantizing magnetic field. The Korteweg–de Vries (KdV), a modified KdV (mKdV), and Gardner equations are derived by using the reductive perturbation method. It is found that the KdV solitons and DLs are either compressive or rarefactive depending on the plasma parameters, whereas only compressive mKdV and rarefactive GSs solitons exist. These GSs and DLs are significantly modified due to the introduction of the polarization force effect. The present results are considered to be beneficial in understanding the waves propagating at cryogenic temperatures in the experiments of the nano-electromechanical application such as cryogenic etching of silicon that leads to etched silicon and makes it highly anisotropic with a high etch rate, lower side etching, and increases the dry etch resistance of organic masks.

中文翻译：

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在存在量子化磁场的情况下具有极化效应的低温等离子体中的尘埃声加德纳孤子

摘要 对磁化低温等离子体系统中的尘声 (DA)、加德纳孤子 (GS) 和双层 (DL) 进行了理论研究。等离子体由带负电荷的惯性尘埃、玻尔兹曼分布的电子和离子组成，所有这些都存在于量化磁场中。Korteweg-de Vries (KdV)、修正的 KdV (mKdV) 和 Gardner 方程是通过使用还原微扰方法推导出来的。发现 KdV 孤子和 DL 是压缩的或稀薄的取决于等离子体参数，而仅存在压缩的 mKdV 和稀薄的 GSs 孤子。由于极化力效应的引入，这些 GS 和 DL 被显着修改。