Three-dimensional rogue waves in nonstationary parabolic potentials

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	Three-dimensional rogue waves in nonstationary parabolic potentials
	Z. Yan; V. V. Konotop; N. Akhmediev
	2010
发表期刊	Physical Review E
ISSN	1539-3755
卷号	82 期号:3
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.
部门归属	[yan, zhenya] chinese acad sci, key lab math mechanizat, inst syst sci, amss, beijing 100080, peoples r china. [yan, zhenya] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china. [konotop, v. v.] univ lisbon, fac ciencias, ctr fis teor & computac, p-1649003 lisbon, portugal. [konotop, v. v.] univ lisbon, fac ciencias, dept fis, p-1649003 lisbon, portugal. [akhmediev, n.] australian natl univ, inst adv studies, res sch phys & engn, opt sci grp, canberra, act 0200, australia.;yan, z (reprint author), chinese acad sci, key lab math mechanizat, inst syst sci, amss, beijing 100080, peoples r china;zyyan_math@yahoo.com
关键词	Bose-einstein Condensation Gases
URL	查看原文
WOS记录号	WOS:000282324400007
引用统计	被引频次：134[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/31626
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	Z. Yan,V. V. Konotop,N. Akhmediev. Three-dimensional rogue waves in nonstationary parabolic potentials[J]. Physical Review E,2010,82(3).
APA	Z. Yan,V. V. Konotop,&N. Akhmediev.(2010).Three-dimensional rogue waves in nonstationary parabolic potentials.Physical Review E,82(3).
MLA	Z. Yan,et al."Three-dimensional rogue waves in nonstationary parabolic potentials".Physical Review E 82.3(2010).