论文标题
非线性聚焦在积水波中的实验证据
Experimental evidence of nonlinear focusing in standing water waves
论文作者
论文摘要
源自通用调制不稳定性（MI）的非线性波聚焦是导致在水面和非线性波导指南（例如光学KERR培养基和等离子体）上形成强波局部的。这种极端波动力学可以通过非线性schrödinger方程（NLSE）的呼吸溶液来描述，例如以著名的双重定位的平毛呼吸器（PB）的方式来描述，该呼吸器（PB）代表了MI的特定情况。另一方面，已经提出，当波场变成宽带或方向时，MI相关性会削弱。在这里，我们提供了非线性和独特的PB型聚焦在积水波中的实验证据，描述了两种反传播波列的情况。收集的分线波测量与流体动力耦合的NLSE（CNLSE）非常吻合，并表明MI在几个波系统的相互作用中可以不受干扰地占上风，并强调了精确的NLSE溶液在极端波形成中的潜在作用，超出了正式窄带超出正式窄带和非偏置限制。我们的工作可能会激发由CNLSE框架控制的各种非线性波指南以及理论进步的进一步实验研究，以预测方向场中强波相干性。
Nonlinear wave focusing originating from the universal modulation instability (MI) is responsible for the formation of strong wave localizations on the water surface and in nonlinear wave guides, such as optical Kerr media and plasma. Such extreme wave dynamics can be described by breather solutions of the nonlinear Schrödinger equation (NLSE) like by way of example the famed doubly-localized Peregrine breathers (PB), which typify particular cases of MI. On the other hand, it has been suggested that the MI relevance weakens when the wave field becomes broadband or directional. Here, we provide experimental evidence of nonlinear and distinct PB-type focusing in standing water waves describing the scenario of two counter-propagating wave trains. The collected collinear wave measurements are in excellent agreement with the hydrodynamic coupled NLSE (CNLSE) and suggest that MI can undisturbedly prevail during the interplay of several wave systems and emphasize the potential role of exact NLSE solutions in extreme wave formation beyond the formal narrowband and uni-directional limits. Our work may inspire further experimental investigations in various nonlinear wave guides governed by CNLSE frameworks as well as theoretical progress to predict strong wave coherence in directional fields.
