Exact Soliton Solutions of the 1D Generalized Gross-Pitaevskii Equation with Quadratic Potential and Parameterized Nonlinearity

摘要

We investigate the 1D generalized Gross-Pitaevskii equation (GGPE) with quadratic potential and parameterized nonlinearity. The coefficients of terms of GGPE studied are arbitrary functions of time t. The exact solution(s) of the GGPE are obtained via expansion method with particular soliton features highlighted.