Condition for convective instability of dark solitons

被引:18
作者
Kamchatnov, A. M. [1 ]
Korneev, S. V. [1 ]
机构
[1] Russian Acad Sci, Inst Spect, Troitsk 142190, Moscow Region, Russia
关键词
Dark solitons; Snake instability; Convective instability; Bose-Einstein condensate;
D O I
10.1016/j.physleta.2011.05.036
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Simple derivation of the condition for the transition point from absolute instability of plane dark solitons to their convective instability is suggested. It is shown that unstable wave packet expands with velocity equal to the minimal group velocity of the disturbance waves propagating along a dark soliton. The growth rate of the length of dark solitons generated by the flow of Bose-Einstein condensate past an obstacle is estimated. Analytical theory is confirmed by the results of numerical simulations. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:2577 / 2580
页数:4
相关论文
共 14 条
[1]  
Amo A., 2011, ARXIV11012530
[2]   Oblique dark solitons in supersonic flow of a Bose-Einstein condensate [J].
El, G. A. ;
Gammal, A. ;
Kamchatnov, A. M. .
PHYSICAL REVIEW LETTERS, 2006, 97 (18)
[3]   Two-dimensional supersonic nonlinear Schrodinger flow past an extended obstacle [J].
El, G. A. ;
Kamchatnov, A. M. ;
Khodorovskii, V. V. ;
Annibale, E. S. ;
Gammal, A. .
PHYSICAL REVIEW E, 2009, 80 (04)
[4]   Spatial dispersive shock waves generated in supersonic flow of Bose-Einstein condensate past slender body (vol 350, pg 192, 2006) [J].
El, GA ;
Kamchatnov, AM .
PHYSICS LETTERS A, 2006, 352 (06) :554-555
[5]   Spatial dispersive shock waves generated in supersonic flow of Bose-Einstein condensate past slender body [J].
El, GA ;
Kamchatnov, AM .
PHYSICS LETTERS A, 2006, 350 (3-4) :192-196
[6]   Dark solitons in atomic Bose-Einstein condensates: from theory to experiments [J].
Frantzeskakis, D. J. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (21)
[7]   Theory of two-dimensional oblique dispersive shock waves in supersonic flow of a superfluid [J].
Hoefer, M. A. ;
Ilan, B. .
PHYSICAL REVIEW A, 2009, 80 (06)
[8]  
Hoefer M.A., 2011, ARXIV11053702
[9]  
Kadomtsev B. B., 1970, Soviet Physics - Doklady, V15, P539
[10]   Stabilization of solitons generated by a supersonic flow of Bose-Einstein condensate past an obstacle [J].
Kamchatnov, A. M. ;
Pitaevskii, L. P. .
PHYSICAL REVIEW LETTERS, 2008, 100 (16)