What makes the Peregrine soliton so special as a prototype of freak waves?

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Dispersion-managed solitons in fibre systems and lasers (2012, background): “It was recently demonstrated that the development of a freak wave pattern in the NLSE is most probably linked with the Peregrine instanton with the peak amplitude close to three times the background level [75].”
Are rogue waves robust against perturbations (2009, background): “known as the Peregrine soliton, in honour of the first person to show that such a solution could be the prototype of rogue waves in the ocean [ 27 ].”
Instabilities, breathers and rogue waves in optics (2014, background): “ Peregrine soliton (PS), and even more generally the bi-periodic solutions of the NLSE described by Jacobi elliptic functions [21, 22, 23]. Many of these solutions have been labelled as “rogue waves” [24] although this interpretation must be made with great care. As we will see below, the statistica”