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Controllable rogue waves in Lugiato-Lefever equation with higher-order nonlinearities and varying coefficients

机译:具有高阶非线性和变化系数的Lugiato-Lefever方程中的可控流浪

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摘要

We report an analytical solutions of the Lugiato-Lefever equation with quintic nonlinearity, nonlinear dispersion effects and varying coefficients. With the help of the similarity transformation method, we describe rogue waves generation and its control in optical micro-resonators. Our results reveal how to control the trajectories of wave centers, the evolutions of wave peaks and the dynamical behavior of the first order rogue waves. Thus, we study the effect of the higher-order nonlinearities, external pump power of a continuous-wave laser, dispersion and dissipation parameters.
机译:我们报告了Lugiato-Lefever方程的解析解,具有五次非线性,非线性色散效应和变化的系数。借助相似度转换方法,我们描述了光学微谐振器中流浪的产生及其控制。我们的结果揭示了如何控制波心的轨迹,波峰的演变以及一阶流浪波的动力学行为。因此,我们研究了高阶非线性,连续波激光器的外部泵浦功率,色散和耗散参数的影响。

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