The thirteenth Peregrine breather and its deformations depending on twenty four parameters solutions to the NLS equation.

Abstract : We go on with the study of the solutions to the focusing one dimensional nonlinear Schrödinger equation (NLS). We construct here the thirteen's Peregrine breather (P13 breather) with its twenty four real parameters, creating deformation solutions to the NLS equation. New families of quasi-rational solutions to the NLS equation in terms of explicit ratios of polynomials of degree 182 in x and t multiplied by an exponential depending on t are obtained. We present characteristic patterns of the modulus of these solutions in the (x;t) plane, in function of the different parameters.
Type de document :
Pré-publication, Document de travail
2017
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https://hal.archives-ouvertes.fr/hal-01492325
Contributeur : Pierre Gaillard <>
Soumis le : mardi 21 mars 2017 - 01:56:19
Dernière modification le : jeudi 30 novembre 2017 - 01:20:30
Document(s) archivé(s) le : jeudi 22 juin 2017 - 12:10:58

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  • HAL Id : hal-01492325, version 1

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Pierre Gaillard, Mickaël Gastineau. The thirteenth Peregrine breather and its deformations depending on twenty four parameters solutions to the NLS equation.. 2017. 〈hal-01492325〉

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