Two parameters deformations of ninth Peregrine breather solution of the NLS equation and multi-rogue waves (Q2337045)

Summary: This paper is a continuation of a recent paper on the solutions of the focusing NLS equation. The representation in terms of a quotient of two determinants gives a very efficient method of determination of famous Peregrine breathers and their deformations. Here we construct Peregrine breathers of order \(N = 9\) and multi-rogue waves associated by deformation of parameters. The analytical expression corresponding to Peregrine breather is completely given.