Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds

doi:10.1016/j.aml.2021.107735

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	Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds
	Weng, Weifang ; Zhang, Guoqiang ; Zhou, Zijian ; Yan, Zhenya 1
	2022-03-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	125 页码:8
摘要	The five-component Manakov system (alias 5-Manakov system) appears in many fields such as nonlinear optics, Bose-Einstein condensates (alias the spin-2 Gross-Pitaevskii equation), and ocean. In this Letter, we investigate the semi-rational vector rogon-soliton and soliton of the 5-Manakov system with mixed zero and non-zero backgrounds by using the modified Darboux transform. The key point is to explicitly solve the multiple roots of a sixth degree characteristic polynomial equation. In particular, we exhibit the wave structures of the fundamental semi-rational vector rogon with grey solitons and soliton solutions, and their higher-degree forms. Moreover, the semi-rational vector rogon with grey solitons corresponding to the components with non-zero backgrounds are PT-symmetric. These semi-rational wave structures will be useful to further understand some related physical phenomena and to design the relative experiments. (C) 2021 Elsevier Ltd. All rights reserved.
关键词	Five-component Manakov system Non-zero/zero background Semi-rational solutions Rogue waves/rogons Solitons
DOI	10.1016/j.aml.2021.107735
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000712455100002
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59505
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
推荐引用方式 GB/T 7714	Weng, Weifang,Zhang, Guoqiang,Zhou, Zijian,et al. Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds[J]. APPLIED MATHEMATICS LETTERS,2022,125:8.
APA	Weng, Weifang,Zhang, Guoqiang,Zhou, Zijian,&Yan, Zhenya.(2022).Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds.APPLIED MATHEMATICS LETTERS,125,8.
MLA	Weng, Weifang,et al."Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds".APPLIED MATHEMATICS LETTERS 125(2022):8.