Nonautonomous solitons of Bose-Einstein condensation in a linear potential with an arbitrary time-dependence
arXiv:1012.5475 · doi:10.1016/j.optcom.2009.01.004
Abstract
In the presence of a linear potential with an arbitrary time-dependence, Hirota method is developed carefully for applying into the effective mean-field model of quasi-one-dimensional Bose-Einstein condensation with repulsive interaction. We obtain the exact nonautonomous soliton solution (NSS) analytically. These solutions show that the time-dependent potential can affect the velocity of NSS. In some special cases the velocity has the character of both increase and oscillation with time. A detail analysis for the asymptotic behaviour of solutions shows that the collision of two NSSs is elastic.
6 pages
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Cited by in corpus (3)
- Rogue Waves In Nonlinear Schrödinger Models with Variable Coefficients: Application to Bose-Einstein Condensates
- Nonautonomous Bright and Dark Solitons of Bose-Einstein Condensates with Feshbach-Managed Time-Dependent Scattering Length
- Stability and collapse of localized solutions of the controlled three-dimensional Gross-Pitaevskii equation