摘要
A(3+1)-dimensional Gross-Pitaevskii(GP)equation with time variable coefficients is considered,andis transformed into a standard nonlinear Schr(o|¨)dinger(NLS)equation.Exact solutions of the(3+1)D GP equationare constructed via those of the NLS equation.By applying specific time-modulated nonlinearities,dispersions,andpotentials,the dynamics of the solutions can be controlled.Solitary and periodic wave solutions with snaking andbreathing behavior are reported.
A （3＋1）-dimensional Gross-Pitaevskii （GP） equation with time variable coefficients is considered, and is transformed into a standard nonlinear Schrodinger （NLS） equation. Exact solutions of the （3＋1）D GP equation are constructed via those of the NLS equation. By applying specific time-modulated nonlinearities, dispersions, and potentials, the dynamics of the solutions can be controlled. Solitary and periodic wave solutions with snaking and breathing behavior are reported.
基金
Supported by the National Natural Science Foundations of China under Grant Nos.10735030,10475055,10675065 and 90503006
National Basic Research Program of China (973 Program 2007CB814800) and PCSIRT (IRT0734)
the Research Fund of Postdoctoral of China under Grant No.20070410727
Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.20070248120
