KMS Of Academy of mathematics and systems sciences, CAS
| 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 Publication | APPLIED MATHEMATICS LETTERS
 |
| ISSN | 0893-9659 |
| Volume | 125Pages:8 |
| Abstract | 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. |
| Keyword | Five-component Manakov system Non-zero/zero background Semi-rational solutions Rogue waves/rogons Solitons |
| DOI | 10.1016/j.aml.2021.107735 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000712455100002 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59505 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 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 |
| 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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