Stability of the solutions of the Gross-Pitaevskii equation

被引：20
|
作者：
Jackson, AD
Kavoulakis, GM
Lundh, E
机构：
[1] Niels Bohr Inst, DK-2100 Copenhagen, Denmark
[2] Lund Inst Technol, SE-22100 Lund, Sweden
[3] KTH, Dept Phys, SE-10691 Stockholm, Sweden
来源：
PHYSICAL REVIEW A | 2005年 / 72卷 / 05期
关键词：
D O I：
10.1103/PhysRevA.72.053617
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We examine the static and dynamic stability of the solutions of the Gross-Pitaevskii equation and demonstrate the intimate connection between them. All salient features related to dynamic stability are reflected systematically in static properties. We find, for example, the obvious result that static stability always implies dynamic stability and present a simple explanation of the fact that dynamic stability can exist even in the presence of static instability.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] Two infinite families of resonant solutions for the Gross-Pitaevskii equation
    Biasi, Anxo
    Bizon, Piotr
    Craps, Ben
    Evnin, Oleg
    PHYSICAL REVIEW E, 2018, 98 (03)
  • [22] Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation
    Chen, H. -S.
    Chang, S. -L.
    Jeng, B. -W.
    Chien, C. -S.
    NUMERICAL ALGORITHMS, 2018, 77 (03) : 709 - 726
  • [23] Stability and collapse of localized solutions of the controlled three-dimensional Gross-Pitaevskii equation
    Fedele, R.
    Jovanovic, D.
    Eliasson, B.
    De Nicola, S.
    Shukla, P. K.
    EUROPEAN PHYSICAL JOURNAL B, 2010, 74 (01): : 97 - 116
  • [24] Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation
    H.-S. Chen
    S.-L. Chang
    B.-W. Jeng
    C.-S. Chien
    Numerical Algorithms, 2018, 77 : 709 - 726
  • [25] Exact solitonic solutions of the Gross-Pitaevskii equation with a linear potential
    Al Khawaja, Usama
    PHYSICAL REVIEW E, 2007, 75 (06):
  • [26] Profiles of blow-up solutions for the Gross-Pitaevskii equation
    Shi-hui Zhu
    Jian Zhang
    Acta Mathematicae Applicatae Sinica, English Series, 2010, 26 : 597 - 606
  • [27] Scattering theory for the Gross-Pitaevskii equation
    Nakanishi, Kenji
    STATIONARY AND TIME DEPENDENT GROSS-PITAEVSKII EQUATIONS, 2008, 473 : 149 - 158
  • [28] Collapse in the symmetric Gross-Pitaevskii equation
    Rybin, AV
    Varzugin, GG
    Timonen, J
    JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2004, 6 (05) : S392 - S396
  • [29] Stochastic fluctuations in the Gross-Pitaevskii equation
    de Bouard, Anne
    Fukuizumi, Reika
    NONLINEARITY, 2007, 20 (12) : 2823 - 2844
  • [30] Stochastic projected Gross-Pitaevskii equation
    Rooney, S. J.
    Blakie, P. B.
    Bradley, A. S.
    PHYSICAL REVIEW A, 2012, 86 (05):
12345