论文标题
门控二维电子系统中的等离子体孤子：超出弱非线性的政权的可解决的分析模型
Plasma solitons in gated two-dimensional electron systems: exactly solvable analytical model for the regime beyond weak non-linearity
论文作者
论文摘要
我们在分析的二维（2D）电子系统（ES）中分析了血浆孤立波或孤子，与两个理想的金属门之间的距离紧密及之间。通常，使用仅适用于弱非线性制度的扰动方法来描述孤子。相反，我们分析了考虑非扰动模型的孤子。该框架可以对孤子形状进行确切的分析描述。此外，当由于孤子造成的浓度偏差为平衡浓度的阶段时，它可以在弱非线性范围之外实现。我们确定孤子存在所需的条件，并得出其幅度，宽度和速度之间的关系。我们认为，为给定模型获得的结果可以提供对非线性波物理学的宝贵见解。
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.
