Two Parameters Deformations of Ninth Peregrine Breather Solution of the NLS Equation and Multi-Rogue Waves

الملخص EN

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.