Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: Application to Bose-Einstein condensates with multi-body interatomic interactions

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	Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: Application to Bose-Einstein condensates with multi-body interatomic interactions
	Kengne, E ; Lakhssassi, A ; Vaillancourt, R ; liu, WM
刊名	JOURNAL OF MATHEMATICAL PHYSICS
	2012
卷号	53 期号:12
关键词	NONLINEAR SCHRODINGER-EQUATION TRAVELING-WAVE SOLUTIONS COMPLEX MODULATION TRANSMISSION-LINE LOCALIZED STATES MARGINAL STATE BIFURCATION DYNAMICS SOLITONS INSTABILITY
ISSN号	0022-2488
通讯作者	Kengne, E: Chinese Acad Sci, Inst Phys, Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China.
中文摘要	We present a double-mapping method (D-MM), a natural combination of a similarity with F-expansion methods, for obtaining general solvable nonlinear evolution equations. We focus on variable-coefficients complex Ginzburg-Landau equations (VCCGLE) with multi-body interactions. We show that it is easy by this method to find a large class of exact solutions of Gross-Pitaevskii and Gross-Pitaevskii-Ginzburg equations. We apply the D-MM to investigate the dynamics of Bose-Einstein condensation with two-and three-body interactions. As a surprising result, we obtained that it is very easy to use the built D-MM to obtain a large class of exact solutions of VCCGLE-with two-body interactions via a generalized VCCGLE with two-and three-body interactions containing cubic-derivative terms. The results show that the proposed method is direct, concise, elementary, and effective, and can be a very effective and powerful mathematical tool for solving many other nonlinear evolution equations in physics. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4768460]
收录类别	SCI
资助信息	Chinese Academy of Sciences; NKBRSFC [2011CB921502, 2012CB821305, 2009CB930701, 2010CB922904]; NSFC [10934010, 60978019]; NSFC-RGC [11061160490, 1386-N-HKU748/10]
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/311004/37679]
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	Kengne, E,Lakhssassi, A,Vaillancourt, R,et al. Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: Application to Bose-Einstein condensates with multi-body interatomic interactions[J]. JOURNAL OF MATHEMATICAL PHYSICS,2012,53(12).
APA	Kengne, E,Lakhssassi, A,Vaillancourt, R,&liu, WM.(2012).Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: Application to Bose-Einstein condensates with multi-body interatomic interactions.JOURNAL OF MATHEMATICAL PHYSICS,53(12).
MLA	Kengne, E,et al."Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: Application to Bose-Einstein condensates with multi-body interatomic interactions".JOURNAL OF MATHEMATICAL PHYSICS 53.12(2012).