论文标题
用大规模视频的波浪测量分析孤子气
Analysis of soliton gas with large-scale video-based wave measurements
论文作者
论文摘要
设计了研究浅水中的孤子气体的实验程序。非线性波在34 \,长的波浪水槽中以恒定深度传播。在水槽的一端,波浪是由活塞型波制造商产生的。另一端是垂直墙。使用七个侧面外观的摄像机记录波浪交互,其像素分辨率为1 \,mm,覆盖14 \,m。检测水表面高度的准确性已显示出大于0.1 mm。连续的单色强迫会导致随机状态,例如孤子气体。测得的波场分离为ra骨空间中的右和左传播波,孤立脉冲被鉴定为KDV或瑞利类型的孤子。检测到孤子的弱相互作用。这些相互作用引起的相移构成了混乱和孤子气体形成的开创性机制。
An experimental procedure for studying soliton gases in shallow water is devised. Nonlinear waves propagate at constant depth in a 34\,m-long wave flume. At one end of the flume, the waves are generated by a piston-type wave-maker. The opposite end is a vertical wall. Wave interactions are recorded with a video system using seven side-looking cameras with a pixel resolution of 1\,mm, covering 14\,m of the flume. The accuracy in the detection of the water surface elevation is shown to be better than 0.1 mm. A continuous monochromatic forcing can lead to a random state such as a soliton gas. The measured wave field is separated into right- and left-propagating waves in the Radon space and solitary pulses are identified as solitons of KdV or Rayleigh types. Both weak and strong interactions of solitons are detected. These interactions induce phase shifts that constitute the seminal mechanism for disorganization and soliton gas formation.