Exact Projective Excitations of a Generalized (3+1)-Dimensional Gross-Pitaevskii System with Varying Parameters
Jin-Xi Fei；Chun-Long Zheng
Chinese Journal of Physics
|Volume or Term/Year and Month of Publication||
51卷2期（2013 / 04 / 01）
200 - 208
An exact self-similar projective excitation for a 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 the allowed exact solutions 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 behavior are revealed by selecting appropriate system parameters. The integrable constraint condition for the generalized (3+1)-dimensional Gross-Pitaevskii system are first derived naturally.