Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations
文献类型：期刊论文
| 作者 | Zhang, Guoqiang; Yan, Zhenya1
|
| 刊名 | EPL
 |
| 出版日期 | 2017-06-01 |
| 卷号 | 118期号:6页码:6 |
| ISSN号 | 0295-5075 |
| DOI | 10.1209/0295-5075/118/60004 |
| 英文摘要 | In this letter, we present a generalized Darboux transformation (gDT) for the non-local coupled nonlinear Schrodinger equations (nCNLS) with the aid of the loop group method. The associated N-fold Darboux transformation is given in terms of simple determinants. As a consequence, the novel N-th-order soliton solutions are found on the plane-wave background with only one spectral parameter. In particular, rational and semi-rational solutions are obtained such as vector generalization of the first-and second-order rational solutions, and interactions between rational solutions and periodic solutions. The results may be useful to explain the corresponding wave phenomena in nonlocal wave modes. Copyright (C) EPLA, 2017 |
| 资助项目 | NSFC[11571346] ; Youth Innovation Promotion Association CAS |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| 出版者 | EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY |
| WOS记录号 | WOS:000408589400004 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26485]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Chinese Acad Sci, AMSS, Inst 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. Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations[J]. EPL,2017,118(6):6. |
| APA | Zhang, Guoqiang,&Yan, Zhenya.(2017).Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations.EPL,118(6),6. |
| MLA | Zhang, Guoqiang,et al."Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations".EPL 118.6(2017):6. |
入库方式： OAI收割
来源：数学与系统科学研究院
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