Numerical study of the stability of the Peregrine solution
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Publication:679637
DOI10.4310/AMSA.2017.V2.N2.A1zbMATH Open1395.76057arXiv1507.06766OpenAlexW2744460608MaRDI QIDQ679637
Author name not available (Why is that?)
Publication date: 19 January 2018
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1507.06766
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