Optical wave solutions of the nonlinear Schrödinger equation with an anti-cubic nonlinear in presence of Hamiltonian perturbation terms

Abstract

In this paper, we study the nonlinear Schrödinger equation with an anti-cubic nonlinear with Hamiltonian perturbation terms by using the complete discrimination system for polynomial. The main result is a complete classification of traveling wave patterns in parameters space from which we can recognize the form of optical wave only based on the physical parameters condition.