An Analytical and Numerical Investigation of the Optical Vortex Solitons: A Computational Study

Abstract

In this paper, we investigate the possibility of forming spatiotemporal vortex solitons in the dispersive inhomogeneous non-linear optical fibers using a graded-index Kerr medium as an example. Also, we use a variation approach to solve the multidimensional inhomogeneous, the non-linear Schrödinger equation (NLSE) and show that spatiotemporal vortex solitons can be stabilized under certain conditions.