Publication Date
2005
Abstract
We consider a one-dimensional defocusing Gross–Pitaevskii equation with a parabolic potential. Dark solitons oscillate near the center of the potential trap and their amplitude decays due to radiative losses (sound emission). We develop a systematic asymptotic multi-scale expansion method in the limit when the potential trap is flat. The first-order approximation predicts a uniform frequency of oscillations for the dark soliton of arbitrary amplitude. The second-order approximation predicts the nonlinear growth rate of the oscillation amplitude, which results in decay of the dark soliton. The results are compared with the previous publications and numerical computations.
Recommended Citation
Pelinovsky, Dmitry; Frantzeskakis, DJ; and Kevrekidis, PG, "Oscillations of dark solitons in trapped Bose-Einstein condensates" (2005). Mathematics and Statistics Department Faculty Publication Series. 1080.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1080
Comments
This is the pre-published version harvested from arXiv.