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

被引：0

作者：

Bayindir, C. ^{[1
]}

Yurtbak, H. ^{[2
]}

机构：

[1] Istanbul Tech Univ, Engn Fac, TR-34469 Istanbul, Turkey

[2] Isik Univ, Engn Fac, TR-34485 Istanbul, Turkey

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2021年 / 11卷 / 01期

关键词：

Dissipative Kundu-Eckhaus equation; Split-step Fourier scheme; Rogue waves; MODULATION INSTABILITY; NUMERICAL ASPECTS; TRAINS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：56 / 65

页数：10

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