A split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics
Yükleniyor...
Dosyalar
Tarih
2021-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Işık University Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivs 3.0 United States
Attribution-NonCommercial-NoDerivs 3.0 United States
Özet
We investigate the rogue wave dynamics of the dissipative Kundu-Eckhaus equation. With this motivation, we propose a split-step Fourier scheme for its numerical solution. After testing the accuracy and stability of the scheme using an analytical solution as a benchmark problem, we analyze the chaotic wave fields generated by the modulation instability within the frame of the dissipative Kundu-Eckhaus equation. We discuss the effects of various parameters on rogue wave formation probability and we also discuss the role of dissipation on occurrences of such waves.
Açıklama
Anahtar Kelimeler
Dissipative Kundu-Eckhaus equation, Split-step Fourier scheme, Rogue waves, Modulation instability, Numerical aspects, Trains
Kaynak
TWMS Journal of Applied and Engineering Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
11
Sayı
1
Künye
Bayındır, C. & Yurtbak, H. (2021). A split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics. TWMS Journal of Applied and Engineering Mathematics, 11(1), 56-65.
