Singular nonlinearity management for matter-wave solitons in normal and inverted parabolic potentials

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	Singular nonlinearity management for matter-wave solitons in normal and inverted parabolic potentials
	Chow, KW ; Malomed, BA ; Xiong, B ; liu, WM
刊名	JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
	2006
卷号	75 期号:11
关键词	PROPAGATION EQUATION
ISSN号	0031-9015
通讯作者	Chow, KW (reprint author), Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China.
中文摘要	We produce a class of solvable Gross-Pitaevskii equations (GPEs), which incorporate the nonlinearity management, a time-dependent factor in front of the cubic term, accounting for the Feshbach resonance in variable magnetic field applied to the Bose-Einstein condensate, and the trapping potential, which may be either static or time-dependent. The GPE is transformed into an equation with a constant nonlinearity coefficient and an additional time-dependent linear term. We present four examples of the nonlinearity-management scenarios which, in proper conjugation with the trapping potential, lead to solvable GPEs. In two cases, the potential is required in the inverted form, which may be a physically meaningful one. In all the cases, the solvable schemes are singular, with the corresponding nonlinearity-enhancement factor diverging at one or multiple moments of time. This singularity may be relevant to the Feshbach resonance. Solvable equations with the normal trapping potential feature multiple singularities (thus limiting the applicability of the GPE to a finite interval of time), while, with the inverted potential, the singularity occurs only at t = 0, validating the equations for 0 < t < infinity. Using the Hirota transform (HT), we construct bright solitons for all solvable cases, and demonstrate that higher-order solitons can be obtained too. Dark solitons are also found, in counterparts of the same models with self-repulsion. In comparison with the previous analysis, a crucial ingredient of the present method is finding the soliton's chirp.
收录类别	SCI
语种	英语
公开日期	2013-09-24
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/52656]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	Chow, KW,Malomed, BA,Xiong, B,et al. Singular nonlinearity management for matter-wave solitons in normal and inverted parabolic potentials[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,2006,75(11).
APA	Chow, KW,Malomed, BA,Xiong, B,&liu, WM.(2006).Singular nonlinearity management for matter-wave solitons in normal and inverted parabolic potentials.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,75(11).
MLA	Chow, KW,et al."Singular nonlinearity management for matter-wave solitons in normal and inverted parabolic potentials".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 75.11(2006).