Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants

doi:10.1016/j.aml.2017.02.002

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	Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants
	Zhang, Guoqiang ; Yan, Zhenya1 ; Chen, Yong
	2017-07-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	69 页码:113-120
摘要	We investigate the defocusing integrable nonlocal nonlinear Schrodinger (nNLS) equation using the loop group method and perturbation expansion idea. The associated N-fold Darboux transformation is presented in terms of the simple determinants. As the application of the N-fold Darboux transformation, we find the higher-order rational solitons of the nNLS equation, which exhibit many new types of soliton structures. Moreover, we also numerically study the stability of some rational solitons. The results are useful to explain the corresponding wave phenomena in nonlocal wave models. (C) 2017 Elsevier Ltd. All rights reserved.
关键词	Integrable nonlocal nonlinear schrodinger equation Lax pair Loop group method Generalized darboux transformation Higher-order rational solitons
DOI	10.1016/j.aml.2017.02.002
语种	英语
资助项目	NSFC[11571346] ; Youth Innovation Promotion Association, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000399506500018
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25297
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 Mech, 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	Zhang, Guoqiang,Yan, Zhenya,Chen, Yong. Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants[J]. APPLIED MATHEMATICS LETTERS,2017,69:113-120.
APA	Zhang, Guoqiang,Yan, Zhenya,&Chen, Yong.(2017).Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants.APPLIED MATHEMATICS LETTERS,69,113-120.
MLA	Zhang, Guoqiang,et al."Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants".APPLIED MATHEMATICS LETTERS 69(2017):113-120.