KMS Of Academy of mathematics and systems sciences, CAS
An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 x 4 Lax pair on the half-line | |
Yan, Zhenya1,2 | |
2017-05-01 | |
Source Publication | CHAOS |
ISSN | 1054-1500 |
Volume | 27Issue:5Pages:21 |
Abstract | We extend the idea of the Fokas unified transform to investigate the initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 x 4 Lax pair on the half-line. The solution of this system can be expressed in terms of the solution of a 4 x 4 matrix Riemann-Hilbert (RH) problem formulated in the complex k-plane. The relevant jump matrices of the RH problem can be explicitly found using the two spectral functions s(k) and S(k), which can be defined by the initial data, the Dirichlet-Neumann boundary data at x = 0. The global relation is established between the two dependent spectral functions. The general mappings between Dirichlet and Neumann boundary values are analyzed in terms of the global relation. These results may be of the potential significance in both spinor Bose-Einstein condensates and the theory of multi-component integrable systems. Published by AIP Publishing. |
DOI | 10.1063/1.4984025 |
Language | 英语 |
Funding Project | NSFC[11571346] ; Youth Innovation Promotion Association, CAS |
WOS Research Area | Mathematics ; Physics |
WOS Subject | Mathematics, Applied ; Physics, Mathematical |
WOS ID | WOS:000402804200019 |
Publisher | AMER INST PHYSICS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/25502 |
Collection | 系统科学研究所 |
Corresponding Author | Yan, Zhenya |
Affiliation | 1.Chinese Acad Sci, Key Lab Math Mechanizat, Inst Syst Sci, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
Recommended Citation GB/T 7714 | Yan, Zhenya. An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 x 4 Lax pair on the half-line[J]. CHAOS,2017,27(5):21. |
APA | Yan, Zhenya.(2017).An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 x 4 Lax pair on the half-line.CHAOS,27(5),21. |
MLA | Yan, Zhenya."An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 x 4 Lax pair on the half-line".CHAOS 27.5(2017):21. |
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