Determinant representation of NLS equation, Ninth Peregrine breather and multi-rogue waves - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2012

Determinant representation of NLS equation, Ninth Peregrine breather and multi-rogue waves

Résumé

This article 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 its 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.
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Dates et versions

hal-00718003 , version 1 (15-07-2012)
hal-00718003 , version 2 (08-12-2012)

Identifiants

  • HAL Id : hal-00718003 , version 2

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Pierre Gaillard. Determinant representation of NLS equation, Ninth Peregrine breather and multi-rogue waves. 2012. ⟨hal-00718003v2⟩
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