Exact soliton solutions and nonlinear modulation instability in spinor Bose-Einstein condensates

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	Exact soliton solutions and nonlinear modulation instability in spinor Bose-Einstein condensates
	Li, L ; Li, ZD ; Malomed, BA ; Mihalache, D ; liu, WM
刊名	PHYSICAL REVIEW A
	2005
卷号	72 期号:3
关键词	HAMILTONIAN-HOPF-BIFURCATION WALKING VECTOR SOLITONS DARK SOLITONS STABILITY DYNAMICS GASES LIGHT
ISSN号	1050-2947
通讯作者	Li, L: Shanxi Univ, Coll Phys & Elect Engn, Taiyuan 030006, Peoples R China.
中文摘要	We find one-, two-, and three-component solitons of the polar and ferromagnetic (FM) types in the general (nonintegrable) model of a spinor (three-component) model of the Bose-Einstein condensate, based on a system of three nonlinearly coupled Gross-Pitaevskii equations. The stability of the solitons is studied by means of direct simulations and, in a part, analytically, using linearized equations for small perturbations. Global stability of the solitons is considered by means of an energy comparison. As a result, ground-state and metastable soliton states of the FM and polar types are identified. For the special integrable version of the model, we develop the Darboux transformation (DT). As an application of the DT, analytical solutions are obtained that display full nonlinear evolution of the modulational instability of a continuous-wave state seeded by a small spatially periodic perturbation. Additionally, by dint of direct simulations, we demonstrate that solitons of both the polar and FM types, found in the integrable system, are structurally stable; i.e., they are robust under random changes of the relevant nonlinear coefficient in time.
收录类别	SCI
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/311004/37667]
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	Li, L,Li, ZD,Malomed, BA,et al. Exact soliton solutions and nonlinear modulation instability in spinor Bose-Einstein condensates[J]. PHYSICAL REVIEW A,2005,72(3).
APA	Li, L,Li, ZD,Malomed, BA,Mihalache, D,&liu, WM.(2005).Exact soliton solutions and nonlinear modulation instability in spinor Bose-Einstein condensates.PHYSICAL REVIEW A,72(3).
MLA	Li, L,et al."Exact soliton solutions and nonlinear modulation instability in spinor Bose-Einstein condensates".PHYSICAL REVIEW A 72.3(2005).