Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions

doi:10.1063/1.5129313

CSpace

	Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions
	Wang, Li 1,2; Yan, Zhenya 1,2; Guo, Boling 3
	2020
发表期刊	CHAOS
ISSN	1054-1500
卷号	30 期号:1 页码:10
摘要	In this paper, we focus on the integrable Hirota equation, which describes the propagation of ultrashort light pulses in optical fibers. First, we numerically study spectral signatures of the spatial Lax pair with distinct potentials [e.g., solitons, Akhmediev-Kuznetsov-Ma (AKM) and Kuznetsov-Ma (KM) breathers, and rogue waves (RWs)] of the Hirota equation. Second, we discuss the RW generation by using the dam-break problem with a decaying initial condition and further analyze spectral signatures of periodized wavetrains. Third, we explore two kinds of noise-derived modulational instabilities: (i) the one case is based on the initial condition (one plus a random noise) such that the KM and AKM breathers, and RWs can be generated, and they agree well with analytical solutions; (ii) another case is to consider another initial condition (one plus a Gaussian wave with a random noise phase) such that some RWs with higher amplitudes can be found. Moreover, we also investigate the spectral signatures of corresponding periodic wavetrains. Finally, we find that the interactions of two waves can also generate theRWphenomena with higher amplitudes. These obtained results will be useful to understand theRWgeneration in the third-order nonlinear Schrodinger equation and other related models. Published under license by AIP Publishing.
DOI	10.1063/1.5129313
收录类别	SCI
语种	英语
资助项目	National Science Foundation of China (NSFC)[11731014] ; National Science Foundation of China (NSFC)[11925108] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000539636200004
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51630
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	Wang, Li,Yan, Zhenya,Guo, Boling. Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions[J]. CHAOS,2020,30(1):10.
APA	Wang, Li,Yan, Zhenya,&Guo, Boling.(2020).Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions.CHAOS,30(1),10.
MLA	Wang, Li,et al."Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions".CHAOS 30.1(2020):10.