A SPLIT-STEP FOURIER SCHEME FOR THE DISSIPATIVE KUNDU-ECKHAUS EQUATION AND ITS ROGUE WAVE DYNAMICS

C. Bayindir; H. Yurtbak

A SPLIT-STEP FOURIER SCHEME FOR THE DISSIPATIVE KUNDU-ECKHAUS EQUATION AND ITS ROGUE WAVE DYNAMICS

C. Bayindir^*
, H. Yurtbak

^*Bu çalışma için yazışmadan sorumlu yazar

İnşaat Mühendisliği Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

1 Atıf (Scopus)

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	56-65
Sayfa sayısı	10
Dergi	Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Hacim	11
Basın numarası	1
Yayın durumu	Yayınlandı - 2021

Bibliyografik not

Publisher Copyright:
© Işık University, Department of Mathematics, 2021. all rights reserved.

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Link to publication in Scopus

Alıntı Yap

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title = "A SPLIT-STEP FOURIER SCHEME FOR THE DISSIPATIVE KUNDU-ECKHAUS EQUATION AND ITS ROGUE WAVE DYNAMICS",

abstract = "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.",

keywords = "Dissipative Kundu-Eckhaus equation, Rogue waves, Split-step Fourier scheme",

author = "C. Bayindir and H. Yurtbak",

year = "2021",

language = "English",

volume = "11",

pages = "56--65",

journal = "Turkish World Mathematical Society Journal of Applied and Engineering Mathematics",

issn = "2146-1147",

publisher = "Isik University",

number = "1",

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TY - JOUR

T1 - A SPLIT-STEP FOURIER SCHEME FOR THE DISSIPATIVE KUNDU-ECKHAUS EQUATION AND ITS ROGUE WAVE DYNAMICS

AU - Bayindir, C.

AU - Yurtbak, H.

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Dissipative Kundu-Eckhaus equation

KW - Rogue waves

KW - Split-step Fourier scheme

UR - https://www.scopus.com/pages/publications/85100636924

M3 - Article

AN - SCOPUS:85100636924

SN - 2146-1147

VL - 11

SP - 56

EP - 65

JO - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

JF - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

IS - 1

ER -

A SPLIT-STEP FOURIER SCHEME FOR THE DISSIPATIVE KUNDU-ECKHAUS EQUATION AND ITS ROGUE WAVE DYNAMICS

Özet

Bibliyografik not

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