Soliton solutions of the 3D Gross-Pitaevskii equation by a potential control method

被引：0

作者：

Fedele, R. ^{[1
]}

Eliasson, B. ^{[2
]}

Haas, E. ^{[3
]}

Shukla, P. K. ^{[2
]}

Jovanovic, D. ^{[4
]}

De Nicola, S. ^{[5
]}

机构：

[1] Univ Federico II, Dipartimento Sci Fis, INFN, Complesso Univ MS Angelo,Via Cintia 1, I-80126 Naples, Italy

[2] Ruhr Univ, Inst Theoretische Phys IV, Fak Phys & Astronome, D-44780 Bochum, Germany

[3] Univ Vale Rio dos Sinos, Dept Engn Mech, Unisinos, BR-9302200 Sao Leopoldo, Brazil

[4] Inst Phys, Belgrade 11001, Serbia

[5] Inst Nazionale Ottica CNR, I-80078 Pozzuoli, Italy

来源：

NEW FRONTIERS IN ADVANCED PLASMA PHYSICS | 2010年 / 1306卷

关键词：

Bose Einstein condensates; nonlinear Schrodinger equation; Korteweg-de Vries equation; solitons; controlling potential method; BOSE-EINSTEIN CONDENSATE; MATTER-WAVE SOLITONS; NONLINEAR SCHRODINGER-EQUATION; NEUTRAL ATOMS; ATTRACTIVE INTERACTIONS; DARK SOLITONS; TRAPS; COLLAPSE; STABILITY; VORTICES;

D O I：

暂无

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We present a class of three-dimensional solitary waves solutions of the Gross-Pitaevskii (GP) equation, which governs the dynamics of Bose-Einstein condensates (BECs). By imposing an external controlling potential, a desired time-dependent shape of the localized BEC excitation is obtained. The stability of some obtained localized solutions is checked by solving the time-dependent GP equation numerically with analytic solutions as initial conditions. The analytic solutions can be used to design external potentials to control the localized BECs in experiment.

引用

页码：61 / +

页数：3

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