KMS Of Academy of mathematics and systems sciences, CAS
Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates | |
Zhang, Guoqiang1; Ling, Liming2; Yan, Zhenya1,3 | |
2021-10-01 | |
Source Publication | JOURNAL OF NONLINEAR SCIENCE |
ISSN | 0938-8974 |
Volume | 31Issue:5Pages:52 |
Abstract | 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. |
Keyword | 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 |
Indexed By | SCI |
Language | 英语 |
Funding Project | 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 Research Area | Mathematics ; Mechanics ; Physics |
WOS Subject | Mathematics, Applied ; Mechanics ; Physics, Mathematical |
WOS ID | WOS:000680908600001 |
Publisher | SPRINGER |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59051 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Yan, Zhenya |
Affiliation | 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 |
Recommended Citation 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. |
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