KMS Of Academy of mathematics and systems sciences, CAS
Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations | |
Zhang, Guoqiang; Yan, Zhenya1 | |
2017-06-01 | |
发表期刊 | EPL |
ISSN | 0295-5075 |
卷号 | 118期号:6页码:6 |
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 |
DOI | 10.1209/0295-5075/118/60004 |
语种 | 英语 |
资助项目 | NSFC[11571346] ; Youth Innovation Promotion Association CAS |
WOS研究方向 | Physics |
WOS类目 | Physics, Multidisciplinary |
WOS记录号 | WOS:000408589400004 |
出版者 | EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/26486 |
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. |
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