Dynamics and optical soliton solutions in birefringent fibers for the coupled Kaup–Newell equation via planar dynamical system analysis method

Abstract

In this paper, the dynamical behavior and optical soliton of the coupled Kaup–Newell equation are studied. Firstly, the phase portraits of the coupled Kaup–Newell equation are drawn by using Maple software. Secondly, the optical soliton solutions of the coupled Kaup–Newell equation are construct by the bifurcation theory of planar dynamical system together with the “three-step method” of Professor Li’s method. Finally, in order to better explain the wave propagation in birefringent fiber, the three-dimensional graphic, the two-dimensional graphic, contour plot and polar plot of some optical soliton solutions are drawn.