Exact soliton solutions and their stability control in the nonlinear Schrodinger equation with spatiotemporally modulated nonlinearity

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	Exact soliton solutions and their stability control in the nonlinear Schrodinger equation with spatiotemporally modulated nonlinearity
	Tian, Q ; Wu, L ; Zhang, JF ; Malomed, BA ; Mihalache, D ; liu, WM
刊名	PHYSICAL REVIEW E
	2011
卷号	83 期号:1
关键词	MODES
ISSN号	1539-3755
通讯作者	Tian, Q: Soochow Univ, Sch Phys Sci & Technol, Suzhou 215006, Jiangsu, Peoples R China.
中文摘要	We put forward a generic transformation which helps to find exact soliton solutions of the nonlinear Schrodinger equation with a spatiotemporal modulation of the nonlinearity and external potentials. As an example, we construct exact solitons for the defocusing nonlinearity and harmonic potential. When the soliton's eigenvalue is fixed, the number of exact solutions is determined by energy levels of the linear harmonic oscillator. In addition to the stable fundamental solitons, stable higher-order modes, describing array of dark solitons nested in a finite-width background, are constructed too. We also show how to control the instability domain of the nonstationary solitons.
收录类别	SCI
资助信息	NSFC [10874235, 10934010, 60978019, 11072219, 11005092]; NKBRSFC [2009CB930701, 2010CB922904, 2011CB921500]; German-Israel Foundation [I-1024-2.7/2009]
语种	英语
公开日期	2013-09-17
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/37668]
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	Tian, Q,Wu, L,Zhang, JF,et al. Exact soliton solutions and their stability control in the nonlinear Schrodinger equation with spatiotemporally modulated nonlinearity[J]. PHYSICAL REVIEW E,2011,83(1).
APA	Tian, Q,Wu, L,Zhang, JF,Malomed, BA,Mihalache, D,&liu, WM.(2011).Exact soliton solutions and their stability control in the nonlinear Schrodinger equation with spatiotemporally modulated nonlinearity.PHYSICAL REVIEW E,83(1).
MLA	Tian, Q,et al."Exact soliton solutions and their stability control in the nonlinear Schrodinger equation with spatiotemporally modulated nonlinearity".PHYSICAL REVIEW E 83.1(2011).