KMS Of Academy of mathematics and systems sciences, CAS
| Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions | |
| Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya1 | |
| 2022-04-01 | |
| Source Publication | PHYSICA D-NONLINEAR PHENOMENA
 |
| ISSN | 0167-2789 |
| Volume | 432Pages:15 |
| Abstract | In this paper, we investigate the wave structures of any n-component nonlinear Schrodinger (alias n-NLS) equation with mixed nonzero and zero boundary conditions, which can be used to describe the interactions of many bodies in differential fields. As a consequence, we find its semi-rational vector rogon-soliton solutions (non-zero backgrounds) and soliton-like solutions (zero backgrounds) with the aid of the modified Darboux transform and the multiple root of an (n + 1)th degree characteristic polynomial equation. Moreover, the semi-rational vector rogon-soliton solutions can be shown to be PT-symmetric for chosen parameters, and decomposed into rational rogons and grey-like solitons for the bigger parameters. Finally, the maximum amplitudes and average amplitudes are analysed for the semi-rational vector rogon-soliton solutions for some choice of parameters. These results will be useful to better understand the relative physical phenomena in the n-NLS equation or other related multi-component nonlinear physical models. (C) 2021 Elsevier B.V. All rights reserved. |
| Keyword | N-component NLS equation Mixed non-zero and zero backgrounds Semi-rational rogon-soliton solutions Soliton-like solutions Asymptotic analysis |
| DOI | 10.1016/j.physd.2021.133150 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11925108] ; National Natural Science Foundation of China[11731014] |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical |
| WOS ID | WOS:000766763800005 |
| Publisher | ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60098 |
| 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,Zhang, Minghe,et al. Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions[J]. PHYSICA D-NONLINEAR PHENOMENA,2022,432:15. |
| APA | Weng, Weifang,Zhang, Guoqiang,Zhang, Minghe,Zhou, Zijian,&Yan, Zhenya.(2022).Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions.PHYSICA D-NONLINEAR PHENOMENA,432,15. |
| MLA | Weng, Weifang,et al."Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions".PHYSICA D-NONLINEAR PHENOMENA 432(2022):15. |
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