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Multi-dark-dark solitons of the integrable repulsive AB system via the determinants
Zhang, Guoqiang1,2; Yan, Zhenya1,2; Wen, Xiao-Yong1,3
2017-08-01
Source PublicationCHAOS
ISSN1054-1500
Volume27Issue:8Pages:8
AbstractWe investigate the integrable repulsive AB system and construct its Darboux transformation using the loop group method. The associated N-fold Darboux transformation is found in terms of simple determinants. Moreover, we derive multi-dark-dark solitons of the repulsive AB system with a non-vanishing background through the Darboux transformation with a limit procedure. Particularly, we exhibit the one-, two-, and three-dark-dark solitons. The results will be meaningful for the study of vector multi-dark solitons in many physical systems such as geophysical fluid dynamics and nonlinear optics. Published by AIP Publishing.
DOI10.1063/1.4998140
Language英语
Funding ProjectNSFC[11571346] ; Youth Innovation Promotion Association, CAS
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000409112600014
PublisherAMER INST PHYSICS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26476
Collection系统科学研究所
Corresponding AuthorYan, Zhenya
Affiliation1.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Dept Math, Beijing 100192, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Guoqiang,Yan, Zhenya,Wen, Xiao-Yong. Multi-dark-dark solitons of the integrable repulsive AB system via the determinants[J]. CHAOS,2017,27(8):8.
APA Zhang, Guoqiang,Yan, Zhenya,&Wen, Xiao-Yong.(2017).Multi-dark-dark solitons of the integrable repulsive AB system via the determinants.CHAOS,27(8),8.
MLA Zhang, Guoqiang,et al."Multi-dark-dark solitons of the integrable repulsive AB system via the determinants".CHAOS 27.8(2017):8.
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