The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics

doi:10.1098/rspa.2017.0688

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	The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics
	Zhang, Guoqiang 1,2; Yan, Zhenya1,2
	2018-07-01
发表期刊	PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN	1364-5021
卷号	474 期号:2215 页码:20
摘要	The 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.
关键词	n-component nonlinear Schrodinger equations Darboux transformation dark-bright mixed solitons dark-bright mixed high-order solitons wing-shaped structure of the breathers dynamics
DOI	10.1098/rspa.2017.0688
语种	英语
资助项目	NSFC[11731014] ; NSFC[11571346] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000440145500005
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/30762
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 Mech, 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. 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.