Exact solutions and dynamic properties of perturbed Fokas-Lenells equation

In this paper, the Fokas-Lenells equation describing soliton dynamics in optical fibers is studied. The topological properties of the corresponding Hamiltonian system are obtained by qualitative analysis of the equation, and the prior estimation of the solution of the equation is given. The exact traveling wave solutions of Fokas-Lenells equation are obtained by using trial equation method and the complete discrimination system for polynomial method. At the end of the article, the three-dimensional images of the solutions under specific values are provided, which can better help us understand the dynamic properties of the model.