On spatial Fourier spectrum of rogue wave breathers

N. Karjanto

On spatial Fourier spectrum of rogue wave breathers

Pattern Formation and Solitons 2021-07-23 v1 Fluid Dynamics

Authors: N. Karjanto

Abstract

In this article, we derive exact analytical expressions for the spatial Fourier spectrum of the soliton family on a constant background. Also known as breathers, these solitons are exact solutions of the nonlinear Schr\"odinger equation and are considered as prototypes for rogue wave models. Depending on the periodicity in the spatial-temporal domain, the characteristics in the wavenumber-temporal domain may feature either a continuous or discrete spectrum.

Keywords

rogue waves breathers spatial fourier spectrum nonlinear schrodinger equation solitons wavenumber domain

Cite

@article{arxiv.2107.10547,
  title  = {On spatial Fourier spectrum of rogue wave breathers},
  author = {N. Karjanto},
  journal= {arXiv preprint arXiv:2107.10547},
  year   = {2021}
}

Comments

16 pages, 10 figures, 22 references

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