Bright and dark optical solitons of the (2+1)-dimensional perturbed nonlinear Schrödinger equation in nonlinear optical fibers

Abstract

In this work, we study an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation (P-NLS) with Kerr law nonlinearity in a nano optical fiber. The extended model includes fourth-order spatial derivatives. We study the influence of the nonlinearity and spatial dispersions effects given in spatial directions x and y. Various types of optical soliton solutions, that describe different structures of optical solutions, such as bright solitons, dark solitons, exponential, rational, and others as well, are extracted. The study is carried out by means of useful soliton ansatzes to retrieve this variety of optical soliton solutions. The obtained findings demonstrate that the implemented techniques are capable of identifying the exact solutions of other nonlinear evolution equations that arise in a range of scientific and engineering fields.