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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, Zhenya1
2022-03-01
Source PublicationAPPLIED MATHEMATICS LETTERS
ISSN0893-9659
Volume125Pages:8
AbstractThe 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.
KeywordFive-component Manakov system Non-zero/zero background Semi-rational solutions Rogue waves/rogons Solitons
DOI10.1016/j.aml.2021.107735
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000712455100002
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/59505
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYan, Zhenya
Affiliation1.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
Recommended Citation
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.
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