Dynamical properties, chirped optical solitons and chaotic behaviors of the perturbed complex Ginzburg-Landau equation with anti-cubic law

In this article, we qualitatively and quantitatively analyze a complex Ginzburg-Landau equation. We transform the original equation into a dynamic system through traveling wave transformation and the trial equation method, which analyze its Hamiltonian and topological properties. Then, the complete discrimination system for polynomial method was used to systematically solve the equation that the types of chirped solutions including soliton solutions, singular solutions, periodic solutions and elliptic function double solutions are obtained. In addition, we also investigate the chaotic behaviors of the model when considering external perturbation terms.