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Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity
Yan, ZY; Yan, FC; Yan, ZY (reprint author), Chinese Acad Sci, Inst Syst Sci, AMSS, Key Lab Math Mech, Beijing 100190, Peoples R China.
2015
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
卷号64期号:3页码:309-319
文章类型Article
摘要We study the existence of dark solitons of the defocusing cubic nonlinear Schrodinger (NLS) eqaution with the spatially-periodic potential and nonlinearity. Firstly, we propose six families of upper and lower solutions of the dynamical systems arising from the stationary defocusing NLS equation. Secondly, by regarding a dark soliton as a heteroclinic orbit of the Poincare map, we present some constraint conditions for the periodic potential and nonlinearity to show the existence of stationary dark solitons of the defocusing NLS equation for six different cases in terms of the theory of strict lower and upper solutions and the dynamics of planar homeomorphisms. Finally, we give the explicit dark solitons of the defocusing NLS equation with the chosen periodic potential and nonlinearity.
关键词Defocusing Cubic Nls Equation The Theory Of Upper And Lower Solutions Periodic Solutions Dark Solitons
学科领域Physics
资助者National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1]
关键词[WOS]WAVES ; RESONANCES ; EXISTENCE ; GASES ; MEDIA
收录类别SCI
语种英语
资助者National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Natural Science Foundation of China [61178091] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; National Key Basic Research Program of China [2011CB302400] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF211CJ1]
WOS类目Physics, Multidisciplinary
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/20876
专题理论物理所SCI论文
通讯作者Yan, ZY (reprint author), Chinese Acad Sci, Inst Syst Sci, AMSS, Key Lab Math Mech, Beijing 100190, Peoples R China.
推荐引用方式
GB/T 7714
Yan, ZY,Yan, FC,Yan, ZY . Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2015,64(3):309-319.
APA Yan, ZY,Yan, FC,&Yan, ZY .(2015).Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity.COMMUNICATIONS IN THEORETICAL PHYSICS,64(3),309-319.
MLA Yan, ZY,et al."Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity".COMMUNICATIONS IN THEORETICAL PHYSICS 64.3(2015):309-319.
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