The Peregrine Breather on the Zero-Background Limit as the Two-Soliton Degenerate Solution: An Experimental Study

Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates. While Peregrine breather is known to amplify a single localized perturbation carrier finite amplitude by factor three, there counterpart solution on zero background as degenerate two-soliton which also leads high maxima. In this study, we report several observations such multi-soliton with doubly-localized peaks water flume. The data collected experiment confirm distinctive attainment amplification two good agreement dynamics Schrödinger equation solution. Advanced numerical simulations solving problem free surface boundary conditions an ideal fluid quantify physical limitations hydrodynamics.