Infinite Series Symmetry Reduction Solutions to the Perturbed Coupled Nonlinear Schrödinger Equation

Abstract

By the approximate symmetry perturbation method, the perturbed coupled nonlinear Schrödinger equation (PCNLSE) is investigated. As a result, the approximate symmetries and infinite series symmetry reduction solutions are obtained. Specially, we take the symmetry reduction for soliton solutions as an example, where the effects of perturbations on soliton solutions are briefly discussed.