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 Schrodinger equation (NLSE) and show that spatiotemporal vortex solitons can be stabilized under certain conditions.

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