流体动力学瞬子的实验证据：流氓波的普遍途径
Experimental Evidence of Hydrodynamic Instantons: The Universal Route to Rogue Waves
摘要：
流氓波的统计理论，提出和测试对实验数据收集在一个长水槽中的随机波具有不同程度的非线性机械产生和自由传播沿水槽。强有力的证据表明，在坦克中观察到的流氓波是流体动力学瞬子，即鞍点配置的行动与随机模型的波系统。如图所示，这些流体动力学瞬子是复杂的时空波场配置，可以使用大偏差理论的数学框架定义，并通过定制的数值方法计算。这些结果表明，瞬子同样很好地描述了流氓波，起源于一个简单的线性叠加机制（弱非线性条件下）或从一个非线性聚焦（强非线性条件下），铺平了道路的发展一个统一的解释流氓波的形成。
英文摘要：
A statistical theory of rogue waves is proposed and tested against experimental data collected in a long water tank where random waves with different degrees of nonlinearity are mechanically generated and free to propagate along the flume. Strong evidence is given that the rogue waves observed in the tank are hydrodynamic instantons, that is, saddle point configurations of the action associated with the stochastic model of the wave system. As shown here, these hydrodynamic instantons are complex spatio-temporal wave field configurations, which can be defined using the mathematical framework of Large Deviation Theory and calculated via tailored numerical methods. These results indicate that the instantons describe equally well rogue waves that originate from a simple linear superposition mechanism (in weakly nonlinear conditions) or from a nonlinear focusing one (in strongly nonlinear conditions), paving the way for the development of a unified explanation to rogue wave formation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
