Rogue waves of the Kundu-Eckhaus equation in a chaotic wave field

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Tarih

2016-03-01

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Yayıncı

American Physical Society

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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Özet

In this paper we study the properties of the chaotic wave fields generated in the frame of the Kundu-Eckhaus equation (KEE). Modulation instability results in a chaotic wave field which exhibits small-scale filaments with a free propagation constant, k. The average velocity of the filaments is approximately given by the average group velocity calculated from the dispersion relation for the plane-wave solution; however, direction of propagation is controlled by the beta parameter, the constant in front of the Raman-effect term. We have also calculated the probabilities of the rogue wave occurrence for various values of propagation constant k and showed that the probability of rogue wave occurrence depends on k. Additionally, we have showed that the probability of rogue wave occurrence significantly depends on the quintic and the Raman-effect nonlinear terms of the KEE. Statistical comparisons between the KEE and the cubic nonlinear Schrodinger equation have also been presented.

Açıklama

Anahtar Kelimeler

Probability, Raman scattering, Average velocity, Dispersion relations, Free propagation, Group velocities, Modulation instabilities, Plane wave solutions, Propagation constant, Statistical comparisons

Kaynak

Physical Review E

WoS Q Değeri

Q1
Q1

Scopus Q Değeri

Q1

Cilt

93

Sayı

3

Künye

Bayındır, C. (2016). Rogue waves of the kundu-eckhaus equation in a chaotic wave field. Physical Review e, 93(3) doi:10.1103/PhysRevE.93.032201