KMS Of Academy of mathematics and systems sciences, CAS
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 | |
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. |
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