Physics
Scientific paper
Mar 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007njph....9...69w&link_type=abstract
New Journal of Physics, Volume 9, Issue 3, pp. 69 (2007).
Physics
28
Scientific paper
We consider the one-dimensional Gross Pitaevskii (GP) equation, which governs the dynamics of Bose Einstein condensate (BEC) matter waves with time-dependent scattering length and a harmonic trapping potential. We present the integrable condition for the one-dimensional GP equation and obtain the exact analytical solution which describes the modulational instability and the propagation of a bright solitary wave on a continuous wave (cw) background. Moreover, by employing the adiabatic perturbation theory for a bright soliton, we obtain approximative bright solitary wave solutions under near-integrable conditions. Both the exact and approximative solutions show that the amplitude of a bright solitary wave with zero boundary condition depends on the scattering length while its motion depends on the external trapping potential.
Li Lu
Wu Lei
Zhang Jie-Fang
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