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

In this work, we study an extended (2+1)-dimensional perturbed nonlinear Schrodinger 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.

Automated summary

This study investigates an extended (2+1)-dimensional perturbed nonlinear Schrodinger equation with Kerr law nonlinearity in a nano optical fiber. The inclusion of fourth-order spatial derivatives allows for the study of nonlinearity and spatial dispersion effects in the x and y directions. Optical soliton solutions of various types, such as bright solitons and dark solitons, are extracted using useful soliton ansatzes, demonstrating the capability of identifying exact solutions for nonlinear evolution equations in different fields.