EXACT SOLUTIONS IN ONE-DIMENSIONAL BOSE–EINSTEIN GAS IN A TIME-VARYING TRAP POTENTIAL AND ATOMIC SCATTERING LENGTH
Emmanuel Kengne, S. T. Chui
In this paper we discuss the solutions of the cubic nonlinear Schrödinger equation with variable coefficients that model a trapped, quasi-one-dimensional Bose–Einstein condensate with time-varying potential and time-varying atomic scattering length. By applying the theory of Jacobian elliptic functions, we propose a new ansatz to find two new families of solutions. We also obtained regions in the parameters space in which the found families of solutions exist.
International Journal of Modern Physics B•Mar 20, 2007•4 citations