Numerical study of the stability of the Peregrine breather

Abstract : The Peregrine breather is widely discussed as a model for rogue waves in deep water. We present here a detailed numerical study of perturbations of the Peregrine breather as a solution to the nonlinear Schr\"odinger (NLS) equations. We first address the modulational instability of the constant modulus solution to NLS. Then we study numerically localized and nonlocalized perturbations of the Peregrine breather in the linear and fully nonlinear setting. It is shown that the solution is unstable against all considered perturbations.
Type de document :
Pré-publication, Document de travail
2016
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https://hal.archives-ouvertes.fr/hal-01339879
Contributeur : Mariana Haragus <>
Soumis le : jeudi 30 juin 2016 - 10:15:06
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

Identifiants

  • HAL Id : hal-01339879, version 1
  • ARXIV : 1507.06766

Citation

C. Klein, M. Haragus. Numerical study of the stability of the Peregrine breather. 2016. <hal-01339879>

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