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.
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页码：56 / 65
页数：10
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