Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates

doi:10.1007/s00332-021-09735-z

	Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates
	Zhang, Guoqiang 3; Ling, Liming 2; Yan, Zhenya 1,3
刊名	JOURNAL OF NONLINEAR SCIENCE
	2021-10-01
卷号	31 期号:5 页码:52
关键词	Multi-component NLS equations Nonzero boundary conditions Lax pair Loop group method Darboux transform Higher-order vector Peregrine solitons Parity-time-reversal symmetry Governing polynomial Asymptotic estimates
ISSN号	0938-8974
DOI	10.1007/s00332-021-09735-z
英文摘要	The any multi-component nonlinear Schrodinger (alias n-NLS) equations with nonzero boundary conditions are studied. We first find the fundamental and higher-order vector Peregrine solitons (alias rational rogue waves (RWs)) for the n-NLS equations by using the loop group theory, an explicit (n + 1)-multiple root of a characteristic polynomial of degree (n + 1) related to the Benjamin-Feir instability, and inverse functions. Particularly, the fundamental vector rational RWs are proved to be parity-time-reversal symmetric for some parameter constraints and classified into n cases in terms of the degree of the introduced polynomial. Moreover, a systematic approach is proposed to study the asymptotic behaviors of these vector RWs such that the decompositions of RWs are related to the so-called governing polynomials F-l(z), which pave a powerful way in the study of vector RW structures of the multicomponent integrable systems. The vector RWs with maximal amplitudes can also be determined via the parameter vectors, which are interesting and useful in the study of RWs for multi-component nonlinear physical systems.
资助项目	China Postdoctoral Science Foundation[2019M660600] ; National Natural Science Foundation of China[11925108] ; National Natural Science Foundation of China[11731014] ; Guangzhou Science and Technology Program of China[201904010362] ; Fundamental Research Funds for the Central Universities of China[2019MS110]
WOS研究方向	Mathematics ; Mechanics ; Physics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000680908600001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59050]
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, Zhenya
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Guoqiang,Ling, Liming,Yan, Zhenya. Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates[J]. JOURNAL OF NONLINEAR SCIENCE,2021,31(5):52.
APA	Zhang, Guoqiang,Ling, Liming,&Yan, Zhenya.(2021).Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates.JOURNAL OF NONLINEAR SCIENCE,31(5),52.
MLA	Zhang, Guoqiang,et al."Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates".JOURNAL OF NONLINEAR SCIENCE 31.5(2021):52.