Optical wave propagation for the sixth-order nonlinear partial differential equation in optical fiber

Abstract

In this paper, a sixth-order nonlinear partial differential equation which can be used to describe the propagation pulse in optical fibers is studied by using the methods of trial equation and complete discrimination system for polynomial. We have obtained some exact optical wave solutions, including singular solutions, solitary wave solutions, and elliptic function double periodic solutions, which can be completely classified in parameter space.