Chabchoub A, Akhmediev N, Hoffmann N P
Mechanics and Ocean Engineering, Hamburg University of Technology, Eissendorfer Strasse 42, 21073 Hamburg, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jul;86(1 Pt 2):016311. doi: 10.1103/PhysRevE.86.016311. Epub 2012 Jul 11.
We present experimental results on the study of spatiotemporally localized surface wave events on deep water that can be modeled using the Peregrine breather solution of the nonlinear Schrödinger equation. These are often considered as prototypes of oceanic rogue waves that can focus wave energy into a single wave packet. For small steepness values of the carrier gravity waves the Peregrine breathers are relatively wide, thus providing an excellent agreement between the theory and experimental results. For larger steepnesses the focusing leads to temporally and spatially shorter events. Nevertheless, agreement between measurements and the Peregrine breather theory remains reasonably good, with discrepancies of modulation gradients and spatiotemporal symmetries being tolerable. Lifetimes and travel distances of the spatiotemporally localized wave events determined from the experiment are in good agreement with the theory.
我们展示了关于深水时空局域表面波事件研究的实验结果,这些事件可用非线性薛定谔方程的 Peregrine 呼吸子解来建模。它们常被视为海洋中异常波的原型,能将波能聚焦到单个波包中。对于载波重力波的小陡度值,Peregrine 呼吸子相对较宽,因此理论与实验结果吻合良好。对于较大陡度,聚焦会导致在时间和空间上更短的事件。然而,测量结果与 Peregrine 呼吸子理论之间的一致性仍然相当好,调制梯度和时空对称性的差异是可容忍的。由实验确定的时空局域波事件的寿命和传播距离与理论吻合良好。