门控二维电子系统中的等离子体孤子：弱非线性以外区域的精确可解解析模型
Plasma solitons in gated two-dimensional electron systems: exactly solvable analytical model for the regime beyond weak non-linearity
摘要：
我们分析研究等离子体孤立波，或孤子，在一个二维（2D）电子系统（ES）放置在两个理想的金属门之间的接近。作为一项规则，孤子描述使用微扰的方法只适用于弱非线性政权。与此相反，我们分析孤子考虑非微扰模型。这个框架使一个精确的孤子形状的分析描述。此外，它可以实现在弱非线性以外的制度-当由于孤子的浓度偏差是平衡浓度的顺序。我们确定了孤子存在的条件，并推导出其振幅、宽度和速度之间的关系。我们相信，我们的结果得到的模型可以提供有价值的洞察非线性波的物理。
英文摘要：
We analytically study plasma solitary waves, or solitons, in a two-dimensional (2D) electron system (ES) placed in close proximity to and between two ideal metallic gates. As a rule, solitons are described using a perturbative approach applicable only in the weak non-linearity regime. In contrast, we analyze solitons considering a non-perturbative model. This framework enables an exact analytical description of the soliton shape. Moreover, it can be achieved in the regime beyond weak non-linearity -- when the concentration deviation due to the soliton is of the order of the equilibrium concentration. We determine the conditions required for a soliton to exist and derive the relationship between its amplitude, width, and velocity. We believe that our results obtained for the given model can provide valuable insight into the physics of non-linear waves.
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