# On spatial Fourier spectrum of rogue wave breathers

@inproceedings{Karjanto2021OnSF, title={On spatial Fourier spectrum of rogue wave breathers}, author={Natanael Karjanto}, year={2021} }

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 Schrödinger 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.

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