Peregrine Solitons beyond the Threefold Limit and Their Two-Soliton Interactions
6 pags., 5 figs. ; Within the coupled Fokas-Lenells equations framework, we show explicitly that, in contrast to the expected threefold-amplitude magnification, Peregrine solitons can reach a peak amplitude as high as 5 times the background level. Besides, the interaction of two such anomalous Peregrine solitons can generate a spikelike rogue wave of extremely high peak amplitude, depending on the parameters used. We numerically confirm that the Peregrine soliton beyond the threefold limit can be reproduced from either a deterministic initial profile or a chaotic background field, hence anticipating the feasibility of its experimental observation. ; This work was supported by the National Natural Science Foundation of China (Grant No. 11474051) and by the European Union under the European Unions Horizon 2020 research and innovation program MSCA-RISE-2015 (Grant No. 691051). Ph. G. was supported by the Indo-French Centre for the Promotion of Advanced Research (IFCPAR/ CEFIPRA) under Contract No. 5104-2. The work of J. M. S.-C. was supported by MINECO under Contract No. TEC2015-71127-C2-1-R and by the Comunidad Autonoma de Madrid (CAM) under Contract No. S2013/ MIT-2790 ; Peer Reviewed