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Two Parameters Deformations of Ninth Peregrine Breather Solution of the NLS Equation and Multi-Rogue Waves
Author(s) -
Pierre Gaillard
Publication year - 2013
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2013/520214
Subject(s) - breather , mathematics , rogue wave , mathematical analysis , continuation , representation (politics) , deformation (meteorology) , nonlinear system , mathematical physics , physics , quantum mechanics , law , meteorology , politics , computer science , political science , programming language
This paper is a continuation of a recent paper on the solutions ofthe focusing NLS equation. The representation in terms of a quotientof two determinants gives a very efficient method of determination offamous Peregrine breathers and their deformations. Here we construct Peregrine breathers of order and multi-rogue waves associated by deformation of parameters. The analyticalexpression corresponding to Peregrine breather is completely given

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