Περίληψη:
We analyze the dynamics of dark matter-wave solitons on a Thomas-Fermi
cloud described by the Gross-Pitaevskii equation with radial symmetry.
One-dimensional, ring, and spherical dark solitons are considered, and
the evolution of their amplitudes, velocities, and centers is
investigated by means of a Lagrangian approach. In the case of
large-amplitude oscillations, higher-order corrections to the
corresponding equations of motion for the soliton characteristics are
shown to be important in order to accurately describe its dynamics. The
numerical results are found to be in very good agreement with the
analytical predictions.
Συγγραφείς:
Theocharis, G
Schmelcher, P
Oberthaler, MK
Kevrekidis, PG
and Frantzeskakis, DJ