(3Â +Â 1)-Dimensional spatiotemporal optical bright soliton solutions and periodic solutions in the nonlocal nonlinear media

By using the dynamical system method, the exact travelling wave solutions of a reduced model for (3 + 1)-dimensional spatiotemporal optical solitons in nonlocal nonlinear media are considered. With the aid of Maple, the bifurcations of phase portraits of the reduced dynamical system are given, and the spatiotemporal optical bright soliton solutions and periodic solutions of the reduced model are obtained.