Bifurcations and exact solutions of ac-driven complex Ginzburg-Landau equation

In this paper, we study the exact solutions of ac-driven complex Ginzburg-Landau equation under the given parameter conditions. We apply the method of dynamical systems to analyze the dynamical behavior of the stationary solutions and their bifurcations depending on the parameters of systems. All bounded exact solutions are obtained. To guarantee the existence of those solutions, the constraint parameter conditions are given.