Three-dimensional rogue waves in nonstationary parabolic potentials

doi:10.1103/PhysRevE.82.036610

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	Three-dimensional rogue waves in nonstationary parabolic potentials
	Yan, Zhenya1,2 ; Konotop, V. V.3,4; Akhmediev, N.5
刊名	PHYSICAL REVIEW E
	2010-09-30
卷号	82 期号:3 页码:7
ISSN号	1539-3755
DOI	10.1103/PhysRevE.82.036610
英文摘要	Using symmetry analysis we systematically present a higher-dimensional similarity transformation reducing the (3+1)-dimensional inhomogeneous nonlinear Schrodinger (NLS) equation with variable coefficients and parabolic potential to the (1+1)-dimensional NLS equation with constant coefficients. This transformation allows us to relate certain class of localized exact solutions of the (3+1)-dimensional case to the variety of solutions of integrable NLS equation of the (1+1)-dimensional case. As an example, we illustrated our technique using two lowest-order rational solutions of the NLS equation as seeding functions to obtain rogue wavelike solutions localized in three dimensions that have complicated evolution in time including interactions between two time-dependent rogue wave solutions. The obtained three-dimensional rogue wavelike solutions may raise the possibility of relative experiments and potential applications in nonlinear optics and Bose-Einstein condensates.
资助项目	NSFC[60821002/F02] ; European Community[PIIF-GA-2009-236099] ; Australian Research Council[DP0985394]
WOS研究方向	Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000282324400007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9419]
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Key Lab Math Mechanizat, Inst Syst Sci, AMSS, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Int Ctr Mat Phys, Shenyang 110016, Peoples R China 3.Univ Lisbon, Fac Ciencias, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal 4.Univ Lisbon, Fac Ciencias, Dept Fis, P-1649003 Lisbon, Portugal 5.Australian Natl Univ, Inst Adv Studies, Res Sch Phys & Engn, Opt Sci Grp, Canberra, ACT 0200, Australia
推荐引用方式 GB/T 7714	Yan, Zhenya,Konotop, V. V.,Akhmediev, N.. Three-dimensional rogue waves in nonstationary parabolic potentials[J]. PHYSICAL REVIEW E,2010,82(3):7.
APA	Yan, Zhenya,Konotop, V. V.,&Akhmediev, N..(2010).Three-dimensional rogue waves in nonstationary parabolic potentials.PHYSICAL REVIEW E,82(3),7.
MLA	Yan, Zhenya,et al."Three-dimensional rogue waves in nonstationary parabolic potentials".PHYSICAL REVIEW E 82.3(2010):7.