The Dynamic Properties Of Bright Solitons Quasi-one-dimensional Bose-Einstein Condensates

In this thesis, the dynamic properties of quasi-one-dimensional Bose-Einstein condensates are considered. It can be summarized as follows:1.The phenomenon of Bose-Einstein condensation is discussed in a quantum statistical perspective. The experimental discoveries and the mean-field theory for the dilute ultra-cold Boses are described in detail.2.The exact N-soliton solutions of the nonlinear Schrodinger equation with time-dependent linear potential are presented by employing the Darboux transformation method. As the special cases, bright soliton-solutions are obtained in Bose-Einstein condensates, and their properties and interaction between solitons are discussed as well.