Multi-dark-dark solitons of the integrable repulsive AB system via the determinants

doi:10.1063/1.4998140

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	Multi-dark-dark solitons of the integrable repulsive AB system via the determinants
	Zhang, Guoqiang 1,2; Yan, Zhenya1,2 ; Wen, Xiao-Yong 1,3
	2017-08-01
发表期刊	CHAOS
ISSN	1054-1500
卷号	27 期号:8 页码:8
摘要	We 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.
DOI	10.1063/1.4998140
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:000409112600014
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/26476
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.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
推荐引用方式 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.