The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves

doi:10.1016/j.aml.2019.03.020

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	The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves
	Chen, Shuyan ; Yan, Zhenya1
刊名	APPLIED MATHEMATICS LETTERS
	2019-09-01
卷号	95 页码:65-71
关键词	Hirota equation Non-zero boundary conditions Riemann-Hilbert problem Darboux transform Breathers Rogue waves
ISSN号	0893-9659
DOI	10.1016/j.aml.2019.03.020
英文摘要	The matrix Riemann-Hilbert problem of the Hirota equation with non-zero boundary conditions is investigated. Based on the matrix Riemann-Hilbert problem, the n-fold Darboux transformation is established for the Hirota equation such that (2n - 1, 2n)th-order rogue waves can be found simultaneously. Particularly, we exhibit the first-, second-, third-, and fourth-order rogue waves, and first- and second-order temporal-spatial and spatial periodic breathers for some parameters, respectively. (C) 2019 Elsevier Ltd. All rights reserved.
资助项目	NSFC[11731014] ; NSFC[61621003] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000471089000010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34946]
专题	系统科学研究所
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
推荐引用方式 GB/T 7714	Chen, Shuyan,Yan, Zhenya. The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves[J]. APPLIED MATHEMATICS LETTERS,2019,95:65-71.
APA	Chen, Shuyan,&Yan, Zhenya.(2019).The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves.APPLIED MATHEMATICS LETTERS,95,65-71.
MLA	Chen, Shuyan,et al."The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves".APPLIED MATHEMATICS LETTERS 95(2019):65-71.