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Gap soliton excitations in a model of an electric circuit

机译:电路模型中的间隙孤子激发

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摘要

We consider a model of an electric circuit. which consists of a primary monoinductance branch shunted (cell to cell) by a nonlinear capacitor and two alternate secondary inductances. The cw spectrum of this circuit exhibits two forbidden bands. By means of the method of multiple scales combined with a quasi-discreteness approximation. we show analytically in a unified way that. the system may support gap solitons, which have their frequencies of oscillation contained within these gaps. as well as intrinsic localized modes (with oscillation frequencies above all the phonon bands). Both kinds of excitations have zero group velocity. [References: 26]
机译:我们考虑电路模型。它由一个非线性电容并联(单元至单元)的初级单电感支路和两个备用次级电感组成。该电路的CW频谱显示两个禁带。通过将多个尺度与准离散近似相结合的方法。我们以统一的方式分析性地表明了这一点。该系统可以支持间隙孤子,这些孤子的振荡频率包含在这些间隙中。以及固有的局域模(振荡频率高于所有声子带)。两种激发都具有零群速度。 [参考:26]

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