The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures
文献类型：期刊论文
| 作者 | Zhang, Guoqiang1,2; Yan, Zhenya1,2 ; Wang, Li1,2
|
| 刊名 | PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
 |
| 出版日期 | 2019-02-01 |
| 卷号 | 475期号:2222页码:20 |
| ISSN号 | 1364-5021 |
| 关键词 | general coupled Hirota equations modulational instability high-order vector rational or semirational rogue waves multi-dark-dark solitons dynamics |
| DOI | 10.1098/rspa.2018.0625 |
| 英文摘要 | The general coupled Hirota equations are investigated, which describe the wave propagations of two ultrashort optical fields in a fibre. Firstly, we study the modulational instability for the focusing, defocusing and mixed cases. Secondly, we present a unified formula of high-order rational rogue waves (RWs) for the focusing, defocusing and mixed cases, and find that the distribution patterns for novel vector rational RWs of focusing case are more abundant than ones in the scalar model. Thirdly, the Nth-order vector semirational RWs can demonstrate the coexistence of Nth-order vector rational RWs and N breathers. Fourthly, we derive the multi-dark-dark solitons for the defocsuing and mixed cases. Finally, we derive a formula for the coexistence of dark solitons and RWs. These results further enrich and deepen the understanding of localized wave excitations and applications in vector nonlinear wave systems. |
| 资助项目 | NSFC[11731014] ; NSFC[11571346] ; NSFC[61621003] ; CAS Interdisciplinary Innovation Team |
| WOS研究方向 | Science & Technology - Other Topics |
| 语种 | 英语 |
| 出版者 | ROYAL SOC |
| WOS记录号 | WOS:000465426300007 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34611]  |
| 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 Mechanizat, 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,Wang, Li. The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2019,475(2222):20. |
| APA | Zhang, Guoqiang,Yan, Zhenya,&Wang, Li.(2019).The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,475(2222),20. |
| MLA | Zhang, Guoqiang,et al."The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 475.2222(2019):20. |
入库方式： OAI收割
来源：数学与系统科学研究院
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