Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions
文献类型：期刊论文
| 作者 | Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya2 |
| 刊名 | PHYSICA D-NONLINEAR PHENOMENA
 |
| 出版日期 | 2022-04-01 |
| 卷号 | 432页码:15 |
| ISSN号 | 0167-2789 |
| 关键词 | 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 |
| 英文摘要 | 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. |
| 资助项目 | National Natural Science Foundation of China[11925108] ; National Natural Science Foundation of China[11731014] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| 出版者 | ELSEVIER |
| WOS记录号 | WOS:000766763800005 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60097]  |
| 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,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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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