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：
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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.
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页码：61 / +
页数：3
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