Bifurcations and Exact Solutions for the Perturbed Gerdjikov–Ivanov Model with Full Nonlinearity

In this paper, we use the techniques from dynamical systems and singular traveling wave theory developed by [Li & Chen, 2007] to investigate the exact explicit solutions for the perturbed Gerdjikov–Ivanov (GI) equation. By considering the corresponding dynamical system and finding the bifurcations of phase portraits for the amplitude component of the traveling solutions, the dynamical behavior can be revealed. Under different parameter conditions, exact explicit solutions of the perturbed GI equation are found.