Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrodinger system with higher-order effects

doi:10.1098/rspa.2021.0670

	Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrodinger system with higher-order effects
	Weng, Weifang 1,2; Zhang, Guoqiang 2; Yan, Zhenya 1,2
刊名	PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
	2022-01-26
卷号	478 期号:2257 页码:23
关键词	rational vector rogue waves rational vector solitons weak and strong interactions n-component nonlinear wave system with higher-order effects modified Darboux transform
ISSN号	1364-5021
DOI	10.1098/rspa.2021.0670
英文摘要	The higher-order effects play an important role in the wave propagations of ultrashort (e.g. subpicosecond or femtosecond) light pulses in optical fibres. in this paper, we investigate any n-component fourth-order nonlinear Schrodinger (n-FONLS) system with non-zero backgrounds containing the n-Hirota equation and the n-Lakshmanan-Porsezian- Daniel equation. Based on the loop group theory, we find the multi-parameter family of novel rational vector rogue waves (RVRWs) of the n-FONLS equation starting from the plane-wave solutions. Moreover, we exhibit the weak and strong interactions of some representative RVRW structures. In particular, we also find that the W-shaped rational vector dark and bright solitons of the n-FONLS equation as the second- and fourth-order dispersion coefficients satisfy some relation. Furthermore, we find the higher-order RVRWs of the n-FONLS equation. These obtained rational solutions will be useful in the study of RVRW phenomena of multi-component nonlinear wave models in nonlinear optics, deep ocean and Bose-Einstein condensates.
资助项目	National Natural Science Foundation of China[11925108] ; National Natural Science Foundation of China[11731014]
WOS研究方向	Science & Technology - Other Topics
语种	英语
出版者	ROYAL SOC
WOS记录号	WOS:000741322000005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59871]
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Weng, Weifang,Zhang, Guoqiang,Yan, Zhenya. Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrodinger system with higher-order effects[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2022,478(2257):23.
APA	Weng, Weifang,Zhang, Guoqiang,&Yan, Zhenya.(2022).Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrodinger system with higher-order effects.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,478(2257),23.
MLA	Weng, Weifang,et al."Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrodinger system with higher-order effects".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 478.2257(2022):23.