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Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations
Zhang, Guoqiang; Yan, Zhenya1
2017-06-01
Source PublicationEPL
ISSN0295-5075
Volume118Issue:6Pages:6
AbstractIn 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
DOI10.1209/0295-5075/118/60004
Language英语
Funding ProjectNSFC[11571346] ; Youth Innovation Promotion Association CAS
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000408589400004
PublisherEPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26486
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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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