Abstract The effective method based on the theory of potential is developed to describe properties of electrostatic nonlinear phenomena on plasma boundaries with varying distortions of a sharp transition between ionized gas and a confining medium. The nonlinear behavior of the electrostatic field connected with a surface charge caused by a cavity moving along the plasma boundary is here investigated under simplest ideal conditions. A new unique equation is deduced from the well-known hydrodynamic description that corresponds cold electron plasma motions. Investigated properties of the surface charge caused by the cavity can be used as for getting current information about the state of the plasma surface as for active influence on it by means, for example, electromagnetic beams.

中文翻译：

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具有移动腔的弯曲等离子体边界上表面电荷的非线性行为

摘要 开发了基于势理论的有效方法来描述等离子体边界上静电非线性现象的性质，其中等离子体边界上的电离气体和限制介质之间的急剧转变具有变化的畸变。这里在最简单的理想条件下研究了与沿等离子体边界移动的腔引起的表面电荷相关的静电场的非线性行为。从与冷电子等离子体运动相对应的众所周知的流体动力学描述中推导出一个新的独特方程。由腔引起的表面电荷的研究特性可用于获取有关等离子体表面状态的当前信息，以及通过例如电磁束对等离子体表面的主动影响。