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

Pierre Gaillard

Journal of Mathematics, 2013, vol. 2013, 1-105

Abstract:

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 and multi-rogue waves associated by deformation of parameters. The analytical expression corresponding to Peregrine breather is completely given.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:520214

DOI: 10.1155/2013/520214

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