Chirped optical solitons of the improved perturbed nonlinear Schrödinger equation with dual-power law nonlinearity

In this paper, the improved nonlinear Schrödinger equation with dual-power law nonlinearity and Hamiltonian perturbation terms describing the dynamics of ultrashort pulse propagation in nano optical fibers is researched. Numerous exact solutions and corresponding nonlinear chirps of this equation are received by using the complete discrimination system for polynomial method and direct integral method. And several emblematic two-dimensional graphs are drawn under specific parameters, which can identify the morphology of optical waves more intuitively.