摘要
Periodic wave solutions and solitary wave solutions to a generalized （3＋1）-dimensional Gross Pitaevskii equation with time-modulated dispersion, nonlinearity, and potential are derived in terms of an improved homogeneous balance principle and a mapping approach. These exact solutions exist under certain conditions via imposing suitable constraints on the functions describing dispersion, nonlinearity, and potential. The dynamics of the derived solutions can be manipulated by prescribing specific time-modulated dispersions, nonlinearities, and potentials. The results show that the periodic waves and solitary waves with novel behaviors are similar to the similaritons reported in other nonlinear systems.
Periodic wave solutions and solitary wave solutions to a generalized （3＋1）-dimensional Gross Pitaevskii equation with time-modulated dispersion, nonlinearity, and potential are derived in terms of an improved homogeneous balance principle and a mapping approach. These exact solutions exist under certain conditions via imposing suitable constraints on the functions describing dispersion, nonlinearity, and potential. The dynamics of the derived solutions can be manipulated by prescribing specific time-modulated dispersions, nonlinearities, and potentials. The results show that the periodic waves and solitary waves with novel behaviors are similar to the similaritons reported in other nonlinear systems.
基金
Project supported by the National Natural Science Foundation of China (Grant No. 11172181)
the Natural Science Foundation of Guangdong Province, China (Grant No. 10151200501000008)
the Special Foundation of Talent Engineering of Guangdong Province, China (Grant No.2009109)
the Scientific Research Foundation of Key Discipline of Shaoguan University, China(Grant No. ZD2009001)
