Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity

CSpace > 系统科学研究所

	Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity
	Yan Zhen-Ya1,2 ; Yan Fang-Chi 1
	2015-09-01
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN	0253-6102
卷号	64 期号:3 页码:309-319
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
语种	英语
资助项目	National 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研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000364053400010
出版者	IOP PUBLISHING 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/21128
专题	系统科学研究所
通讯作者	Yan Zhen-Ya
作者单位	1.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
推荐引用方式 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.