论文部分内容阅读
An exact self-similar projective excitation for the generalized (3+1)-dimensional Gross-Pitaevskii system with time-modulated dispersion, nonlinearity, potential and gain or loss is successfully derived with the aid of a direct projective approach. All allowed exact solution of the self-similarity projective equation can be converted into the corresponding exact solutions of the generalized Gross-Pitaevskii system under certain compatibility conditions. According to the derived projective solutions, some localized excitations with novel dynamical behaviors are revealed by selecting appropriate system parameters. The integrable constraint condition for the generalized (3+1)-dimensional Gross-Pitaevskii system are first derived naturally.