中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70304-070304.doi: 10.1088/1674-1056/21/7/070304
费金喜a b, 郑春龙a c
Fei Jin-Xi(费金喜)a)b) and Zheng Chun-Long(郑春龙)a)c)†
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 similaritons reported in other nonlinear systems.
中图分类号: (Solutions of wave equations: bound states)