Rogue wave spectra of the Kundu-Eckhaus equation

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Tarih

2016-06-15

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Yayıncı

American Physical Society

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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Özet

In this paper we analyze the rogue wave spectra of the Kundu-Eckhaus equation (KEE). We compare our findings with their nonlinear Schrodinger equation (NLSE) analogs and show that the spectra of the individual rogue waves significantly differ from their NLSE analogs. A remarkable difference is the one-sided development of the triangular spectrum before the rogue wave becomes evident in time. Also we show that increasing the skewness of the rogue wave results in increased asymmetry in the triangular Fourier spectra. Additionally, the triangular spectra of the rogue waves of the KEE begin to develop at earlier stages of their development compared to their NLSE analogs, especially for larger skew angles. This feature may be used to enhance the early warning times of the rogue waves. However, we show that in a chaotic wave field with many spectral components the triangular spectra remain as the main attribute as a universal feature of the typical wave fields produced through modulation instability and characteristic features of the KEE's analytical rogue wave spectra may be suppressed in a realistic chaotic wave field.

Açıklama

Anahtar Kelimeler

Gravity-waves, Condensed matter physics, Physics, Chaotic waves, Dinger equation, Early warning, Fourier spectra, Modulation instabilities, Rogue waves, Skew angles, Spectral components, Nonlinear equations

Kaynak

Physical Review E

WoS Q Değeri

Q1
Q1

Scopus Q Değeri

Q1

Cilt

93

Sayı

6

Künye

Bayındır, C. (2016). Rogue wave spectra of the kundu-eckhaus equation. Physical Review E, 93(6), 1-7. doi:10.1103/PhysRevE.93.062215