Optical solitons, complexitons and power series solutions of the perturbed nonlinear Schrödinger equation

Abstract

In this paper, we consider the perturbed nonlinear Schrödinger equation with a bounded potential, which is an important model in fiber communication. By considering the ansatz method, we obtain the bright and dark soliton solutions of the equation. By employing the sub-equation method, we also construct its complexitons solutions. Finally, the explicit power series solution is also derived with its convergence analysis. It is hoped that our results can help enrich the nonlinear dynamical behaviors of the perturbed nonlinear Schrödinger equation.