论文标题
在定期驱动的Korteweg-de Vries系统中非线性混合的双光谱分析
Bispectral analysis of nonlinear mixing in a periodically driven Korteweg-de Vries system
论文作者
论文摘要
使用多种非线性驱动程序研究了定期驱动的Korteweg-De Vries模型系统的非线性响应，并将其与纯粹依赖时间依赖性正弦驱动器获得的先前结果进行了比较[Phys。等离子体27，113701（2020）]。已经发现，以cNoidal方波或行驶波驱动器形式形式的非线性驱动器会产生频谱响应，该响应更接近实验观察结果[Phys。莱特牧师。 92，085001（2004）]比简单的正弦驱动器预测的比较。使用双光谱分析，我们还牢固地确定，由于周期源与系统固有的集体模式之间的相互作用，非线性振荡的性质主要由三波混合过程控制。此外，通过研究混合模式的变化，从宽阔的频谱到稀疏的频谱，作为驱动程序频率及其功能形式的函数，我们提出了一种调整此类模式性质的方法。我们的结果可以在弱非线性和分散等离子体系统中的非线性波混合模式的实验解释和操纵中找到有用的应用，或中性流体中的类似现象。
The nonlinear response of a periodically driven Korteweg-de Vries model system is studied using a variety of nonlinear drivers and compared to previous results obtained for a purely time-dependent sinusoidal driver [Phys. Plasmas 27, 113701 (2020)]. It is found that a nonlinear driver in the form of a cnoidal square wave or a travelling wave driver produces a spectral response that is closer to experimental observations [Phys. Rev. Lett. 92, 085001 (2004)] than that predicted by the simple sinusoidal driver. Using a bispectral analysis, we also firmly establish that the nature of the nonlinear oscillations, due to the interaction between the periodic source and the inherent collective mode of the system, is predominantly governed by a three-wave mixing process. Furthermore, by studying the variation in the mixing pattern, from a broad to a sparse frequency spectrum, as a function of the driver frequency and its functional form, we propose a means of tailoring the nature of such patterns. Our results could find useful applications in the experimental interpretation and manipulation of nonlinear wave mixing patterns in weakly nonlinear and dispersive plasma systems or similar phenomena in neutral fluids.
