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

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