KMS Of Academy of mathematics and systems sciences, CAS
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures | |
Zhang, Guoqiang1,2; Yan, Zhenya1,2; Wang, Li1,2 | |
2019-02-01 | |
发表期刊 | PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES |
ISSN | 1364-5021 |
卷号 | 475期号:2222页码:20 |
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. |
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 |
语种 | 英语 |
资助项目 | NSFC[11731014] ; NSFC[11571346] ; NSFC[61621003] ; CAS Interdisciplinary Innovation Team |
WOS研究方向 | Science & Technology - Other Topics |
WOS类目 | Multidisciplinary Sciences |
WOS记录号 | WOS:000465426300007 |
出版者 | ROYAL SOC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/34612 |
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. |
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