Two-dimensional superfluid flows in inhomogeneous Bose-Einstein condensates

被引：16

作者：

Yan, Zhenya ^{[1
]}

Konotop, V. V. ^{[3
,4
]}

Yulin, A. V. ^{[3
,4
]}

Liu, W. M. ^{[2
]}

机构：

[1] Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China

[3] Univ Lisbon, Fac Ciencias, Dept Fis, P-1649003 Lisbon, Portugal

[4] Univ Lisbon, Fac Ciencias, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal

来源：

PHYSICAL REVIEW E | 2012年 / 85卷 / 01期

关键词：

NONLINEAR SCHRODINGER-EQUATION; SOLITONS; DYNAMICS;

D O I：

10.1103/PhysRevE.85.016601

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We report an algorithm of constructing linear and nonlinear potentials in the two-dimensional Gross-Pitaevskii equation subject to given boundary conditions, which allow for exact analytic solutions. The obtained solutions represent superfluid flows in inhomogeneous Bose-Einstein condensates. The method is based on the combination of the similarity reduction of the two-dimensional Gross-Pitaevskii equation to the one-dimensional nonlinear Schrodinger equation, the latter allowing for exact solutions, with the conformal mapping of the given domain, where the flow is considered, to a half space. The stability of the obtained flows is addressed. A number of stable and physically relevant examples are described.

引用

页数：5

共 31 条

[21] Similarity transformations for nonlinear Schrodinger equations with time-dependent coefficients [J].

Perez-Garcia, Victor M. ;

Torres, Pedro J. ;

Konotop, Vladimir V. .

PHYSICA D-NONLINEAR PHENOMENA, 2006, 221 (01) :31-36

[22]

Ponomarenko SA, 2006, PHYS REV LETT, V97, DOI [10.1103/PhysRevLett.97.013901, 10.1103/PhysRevLett.013901]

[23] PROPERTIES OF THE NONLINEAR SCHRODINGER-EQUATION ON A LATTICE [J].

SCHARF, R ;

BISHOP, AR .

PHYSICAL REVIEW A, 1991, 43 (12) :6535-6544

[24] Nonautonomous solitons in external potentials [J].

Serkin, V. N. ;

Hasegawa, Akira ;

Belyaeva, T. L. .

PHYSICAL REVIEW LETTERS, 2007, 98 (07)

[25] Novel soliton solutions of the nonlinear Schrodinger equation model [J].

Serkin, VN ;

Hasegawa, A .

PHYSICAL REVIEW LETTERS, 2000, 85 (21) :4502-4505

[26] Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities [J].

Yan, Zhenya ;

Konotop, V. V. .

PHYSICAL REVIEW E, 2009, 80 (03)

[27] Three-dimensional rogue waves in nonstationary parabolic potentials [J].

Yan, Zhenya ;

Konotop, V. V. ;

Akhmediev, N. .

PHYSICAL REVIEW E, 2010, 82 (03)

[28] Nonautonomous "rogons" in the inhomogeneous nonlinear Schrodinger equation with variable coefficients [J].

Yan, Zhenya .

PHYSICS LETTERS A, 2010, 374 (04) :672-679

[29] Analytical three-dimensional bright solitons and soliton pairs in Bose-Einstein condensates with time-space modulation [J].

Yan, Zhenya ;

Hang, Chao .

PHYSICAL REVIEW A, 2009, 80 (06)

[30] Exact stationary wave patterns in three coupled nonlinear Schrodinger/Gross-Pitaevskii equations [J].

Yan, Zhenya ;

Chow, K. W. ;

Malomed, Boris A. .

CHAOS SOLITONS & FRACTALS, 2009, 42 (05) :3013-3019

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