Super Rogue Waves: Observation of a Higher-Order Breather in Water Waves

Abstract

Super rogue waves with an amplitude of up to 5 times the background value are observed in a waterwave tank for the first time. Nonlinear focusing of the local wave amplitude occurs according to the higher-order breather solution of the nonlinear wave equation. The present result shows that rogue waves can also develop from very calm and apparently safe sea states. We expect the result to have a significant impact on studies of extreme ocean waves and to initiate related studies in other disciplines concerned with waves in nonlinear dispersive media, such as optics, plasma physics, and superfluidity.