2011/05/04 by A. M. Kamchatnov, S. V. Korneev, С. В. Корнеев · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Convection #Convective instability #Fluid Dynamics and Turbulent Flows #Geometry #Instability #Mathematics #Mechanics #Nonlinear Photonic Systems #Nonlinear system #Physics #Plane (geometry) #Quantum mechanics #Soliton #cond-mat.quant-gas
paper · pdf · doi:10.1016/j.physleta.2011.05.036
published as Physics Letters A 375, 2577 (2011)
arxiv created 2011/05/04 · openalex publication_date 2011/05/23 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.