The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures

doi:10.1098/rspa.2018.0625

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	The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures
	Zhang, Guoqiang 1,2; Yan, Zhenya1,2 ; Wang, Li 1,2
	2019-02-01
发表期刊	PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN	1364-5021
卷号	475 期号:2222 页码:20
摘要	The general coupled Hirota equations are investigated, which describe the wave propagations of two ultrashort optical fields in a fibre. Firstly, we study the modulational instability for the focusing, defocusing and mixed cases. Secondly, we present a unified formula of high-order rational rogue waves (RWs) for the focusing, defocusing and mixed cases, and find that the distribution patterns for novel vector rational RWs of focusing case are more abundant than ones in the scalar model. Thirdly, the Nth-order vector semirational RWs can demonstrate the coexistence of Nth-order vector rational RWs and N breathers. Fourthly, we derive the multi-dark-dark solitons for the defocsuing and mixed cases. Finally, we derive a formula for the coexistence of dark solitons and RWs. These results further enrich and deepen the understanding of localized wave excitations and applications in vector nonlinear wave systems.
关键词	general coupled Hirota equations modulational instability high-order vector rational or semirational rogue waves multi-dark-dark solitons dynamics
DOI	10.1098/rspa.2018.0625
语种	英语
资助项目	NSFC[11731014] ; NSFC[11571346] ; NSFC[61621003] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000465426300007
出版者	ROYAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34612
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	Zhang, Guoqiang,Yan, Zhenya,Wang, Li. The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2019,475(2222):20.
APA	Zhang, Guoqiang,Yan, Zhenya,&Wang, Li.(2019).The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,475(2222),20.
MLA	Zhang, Guoqiang,et al."The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 475.2222(2019):20.