The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics
文献类型：期刊论文
| 作者 | Zhang, Guoqiang1,2; Yan, Zhenya1,2
|
| 刊名 | PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
 |
| 出版日期 | 2018-07-01 |
| 卷号 | 474期号:2215页码:20 |
| 关键词 | n-component nonlinear Schrodinger equations Darboux transformation dark-bright mixed solitons dark-bright mixed high-order solitons wing-shaped structure of the breathers dynamics |
| ISSN号 | 1364-5021 |
| DOI | 10.1098/rspa.2017.0688 |
| 英文摘要 | The general n-component nonlinear Schrodinger equations are systematically investigated with the aid of the Darboux transformation method and its extension. Firstly, we explore the condition of the existence for dark-bright mixed soliton solutions and derive an explicit formula of dark-bright mixed multi-soliton solutions in terms of the determinant. Secondly, we present the formula of dark-bright mixed high-order semi-rational solitons, and predict their general Nth-order wave structures. Thirdly, we investigate the wing-shaped structures of breather. Finally, we perform the numerical simulations for some representative solitons to study their dynamical behaviours. |
| 资助项目 | NSFC[11731014] ; NSFC[11571346] ; CAS Interdisciplinary Innovation Team |
| WOS研究方向 | Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000440145500005 |
| 出版者 | ROYAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30761]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mech, 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 | Zhang, Guoqiang,Yan, Zhenya. The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2018,474(2215):20. |
| APA | Zhang, Guoqiang,&Yan, Zhenya.(2018).The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,474(2215),20. |
| MLA | Zhang, Guoqiang,et al."The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 474.2215(2018):20. |
入库方式： OAI收割
来源：数学与系统科学研究院
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