Exact solutions and optical soliton solutions for the nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity

Abstract

In this article, we apply the soliton ansatz method combined with the Jacobi elliptic equation method which is different from the F-expansion method to obtain several types of Jacobi elliptic function solutions, the optical bright-dark-singular soliton solutions and trigonometric function solutions of the nonlinear Schrodinger equation with fourth-order dispersion and cubic-quintic nonlinearity, self-steeping and self-frequency shift effects which describes the propagation of an optical pulse in optical fibers. Comparison between our results in this article and the well-known results are given.