  It is shown that the quasi-one-dimensional Bose-Einstein condensate is
experimentally accessible and rich in intriguing phenomena. We demonstrate
numerically and analytically the existence, stability, and perturbation-induced
dynamics of all types of stationary states of the quasi-one-dimensional
nonlinear Schrodinger equation for both repulsive and attractive cases. Among
our results are: the connection between stationary states and solitons;
creation of vortices from such states; manipulation of such states with simple
phase profiles; demonstration of the fragility of the condensate phase in
response to shock; and a robust stabilization of the attractive Bose-Einstein
condensate.
