Soliton Solutions of Bose–Einstein Condensate in Linear Magnetic Field and Time-Dependent Laser Field

摘要

With the help of symbolic computation, the tanh method is extended to find some new exact solutions of nonlinear Gross–Pitaevskii equation with weak bias magnetic and time-dependent laser fields. As a result, the bright and dark soliton solutions are obtained. In addition, some new soliton solutions in this model are found.