KMS Of Academy of mathematics and systems sciences, CAS
| The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics | |
Zhang, Guoqiang1,2; Yan, Zhenya1,2
| |
| 2018-07-01 | |
| Source Publication | PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
 |
| ISSN | 1364-5021 |
| Volume | 474Issue:2215Pages:20 |
| Abstract | 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. |
| Keyword | n-component nonlinear Schrodinger equations Darboux transformation dark-bright mixed solitons dark-bright mixed high-order solitons wing-shaped structure of the breathers dynamics |
| DOI | 10.1098/rspa.2017.0688 |
| Language | 英语 |
| Funding Project | NSFC[11731014] ; NSFC[11571346] ; CAS Interdisciplinary Innovation Team |
| WOS Research Area | Science & Technology - Other Topics |
| WOS Subject | Multidisciplinary Sciences |
| WOS ID | WOS:000440145500005 |
| Publisher | ROYAL SOC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30762 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 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 |
| Recommended Citation 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. |
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