Soliton solutions of 3D Gross-Pitaevskii equation by a potential control method

Abstract

We present a class of three-dimensional solitary waves solutions of the Gross-Pitaevskii (GP) equation, which governs the dynamics of Bose-Einstein condensates (BECs). By imposing an external controlling potential, a desired time-dependent shape of the localized BEC excitation is obtained. The stability of some obtained localized solutions is checked by solving the time-dependent GP equation numerically with analytic solutions as initial conditions. The analytic solutions can be used to design external potentials to control the localized BECs in experiment.

11 pages, 5 figures, submitted to Phys. Rev. E

Cited by in corpus (1)

• Stability and collapse of localized solutions of the controlled three-dimensional Gross-Pitaevskii equation