Bifurcations and travelling wave solutions of a (2Â +Â 1)-dimensional nonlinear Schrödinger equation

In this paper, the travelling wave solutions of a nonlinear Schrödinger equation is considered by using the approach of dynamical systems and the theory of bifurcations. With the aid of Maple software, The possible explicit parametric representations of the bounded travelling wave solutions are got and all kinds of phase portraits in the parametric space are obtained.