论文标题

在固定周期性波动上观察调节不稳定和流氓呼吸器

Observation of modulation instability and rogue breathers on stationary periodic waves

论文作者

Xu, Gang, Chabchoub, Amin, Pelinovsky, Dmitry E., Kibler, Bertrand

论文摘要

在固定的周期性背景波(即c肾和脱肾上腺)的情况下,我们介绍了调制不稳定性过程和相关流氓呼吸器的理论描述和实验观察。尽管是非线性Schrodinger方程的众所周知的解决方案,但与基本平面波不同,这种背景波的稳定性一直未经实验探索。通过两个实验设置,即在非线性光学和流体动力学中,我们报告了对自发调节不稳定性的定量测量,该测量通过输入随机噪声以及由相干扰动引起的流氓呼吸溶液的形成。当涉及更复杂的背景波时,我们的结果证实了调制不稳定的概括。

We present both theoretical description and experimental observation of the modulation instability process and related rogue breathers in the case of stationary periodic background waves, namely cnoidal and dnoidal envelopes. Despite being well-known solutions of the nonlinear Schrodinger equation, the stability of such background waves has remained unexplored experimentally until now, unlike the fundamental plane wave. By means of two experimental setups, namely, in nonlinear optics and hydrodynamics, we report on quantitative measurements of spontaneous modulation instability gain seeded by input random noise, as well as the formation of rogue breather solutions induced by a coherent perturbation. Our results confirm the generalization of modulation instability when more complex background waves are involved.

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