Rogue waves of the Kundu-Eckhaus equation in a chaotic wave field
Yükleniyor...
Tarih
2016-03-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Physical Society
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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
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
