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

doi:10.1007/s00332-021-09735-z

CSpace

	Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates
	Zhang, Guoqiang 1; Ling, Liming 2; Yan, Zhenya 1,3
	2021-10-01
发表期刊	JOURNAL OF NONLINEAR SCIENCE
ISSN	0938-8974
卷号	31 期号:5 页码:52
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.
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
DOI	10.1007/s00332-021-09735-z
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied ; Mechanics ; Physics, Mathematical
WOS记录号	WOS:000680908600001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59051
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.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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.