Dynamic properties and optical wave patterns of a high-order nonlinear Schrödinger equation with weak non-local nonlinearity

Abstract

Under investigation in this paper is a high-order nonlinear Schrödinger equation with weak non-local nonlinearity. The complete discrimination system for polynomial method is applied to conduct qualitative analysis, and carry out the existence of periodic and soliton solutions. We construct concrete solutions to verify our conclusion and some new optical traveling wave solutions have also been found. Furthermore, the parameters condition of existence of each solution is presented clearly.