On complex wave solutions for the variable-coefficient fourth-order nonlinear Schrödinger system in an inhomogeneous optical fiber

Abstract

In this paper, the variable-coefficient fourth-order nonlinear Schrödinger system, which is used to depict the simultaneous propagation of ultrashort optical pulses in an inhomogeneous optical fiber, is probed by two approaches. As an achievement, heaps of complex exact solutions, including some complex solitary, soliton and elliptic wave solutions as well as some complex trigonometric, hyperbolic trigonometric and rational solutions, are derived in the light of the unified and improved F-expansion methods separately. Additionally, the movement mechanisms of partial solutions that we gain are graphically discussed with appropriate parameters. And one thing should be mentioned is that we choose one solution from every foregoing category of solutions to draw the 2D, 3D and contour images to realize the wave propagation more systematically and deeply.