Condition for convective instability of dark solitons

Details Condition for convective instability of dark solitons Condition for convective instability of dark solitons

2011-05-04

arxiv.org/abs/1105.0789v1

Physics Letters A 375, 2577 (2011)

Physics

Condensed Matter

Quantum Gases

Scientific paper

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.

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