An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 x 4 Lax pair on the half-line

doi:10.1063/1.4984025

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	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
发表期刊	CHAOS
ISSN	1054-1500
卷号	27 期号:5 页码:21
摘要	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
语种	英语
资助项目	NSFC[11571346] ; Youth Innovation Promotion Association, CAS
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000402804200019
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25502
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	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
推荐引用方式 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.