Exact chirped solutions and chaotic behaviors of the high-order nonlinear Schrödinger equation with non-Kerr nonlinear terms and cubic-quintic-septic nonlinearities

Abstract

In this paper, we obtain the exact solutions and corresponding nonlinear chirps of the high-order nonlinear Schrödinger equation with non-Kerr nonlinear terms and cubic-quintic-septic nonlinearities based on the trial equation method and the complete discrimination system for polynomial. Specifically, we systematically solve all exact chirped solutions of the equation in its general form. Moreover, we discuss the chaotic behaviors of the model while considering the external perturbation terms.