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

Abstract : 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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Submitted on : Saturday, December 8, 2012 - 11:45:30 AM
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  • 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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