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Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity
Yan Zhen-Ya1,2; Yan Fang-Chi1
2015-09-01
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
Volume64Issue:3Pages:309-319
AbstractWe 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.
Keyworddefocusing cubic NLS equation the theory of upper and lower solutions periodic solutions dark solitons
Language英语
Funding ProjectNational Natural Science Foundation of China[61178091] ; National Key Basic Research Program of China[2011CB302400] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China[Y4KF211CJ1]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000364053400010
PublisherIOP PUBLISHING LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21128
Collection系统科学研究所
Corresponding AuthorYan Zhen-Ya
Affiliation1.Chinese Acad Sci, Inst Syst Sci, AMSS, Key Lab Math Mech, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Yan Zhen-Ya,Yan Fang-Chi. 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 Zhen-Ya,&Yan Fang-Chi.(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 Zhen-Ya,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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