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The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics
Zhang, Guoqiang1,2; Yan, Zhenya1,2
2018-07-01
Source PublicationPROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN1364-5021
Volume474Issue:2215Pages:20
AbstractThe general n-component nonlinear Schrodinger equations are systematically investigated with the aid of the Darboux transformation method and its extension. Firstly, we explore the condition of the existence for dark-bright mixed soliton solutions and derive an explicit formula of dark-bright mixed multi-soliton solutions in terms of the determinant. Secondly, we present the formula of dark-bright mixed high-order semi-rational solitons, and predict their general Nth-order wave structures. Thirdly, we investigate the wing-shaped structures of breather. Finally, we perform the numerical simulations for some representative solitons to study their dynamical behaviours.
Keywordn-component nonlinear Schrodinger equations Darboux transformation dark-bright mixed solitons dark-bright mixed high-order solitons wing-shaped structure of the breathers dynamics
DOI10.1098/rspa.2017.0688
Language英语
Funding ProjectNSFC[11731014] ; NSFC[11571346] ; CAS Interdisciplinary Innovation Team
WOS Research AreaScience & Technology - Other Topics
WOS SubjectMultidisciplinary Sciences
WOS IDWOS:000440145500005
PublisherROYAL SOC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30762
Collection系统科学研究所
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mech, 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. The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2018,474(2215):20.
APA Zhang, Guoqiang,&Yan, Zhenya.(2018).The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,474(2215),20.
MLA Zhang, Guoqiang,et al."The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 474.2215(2018):20.
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