Investigating of the pure-cubic optical solitons in the presence of spatio-temporal and inter-modal dispersions

Abstract

In this manuscript, we studied the pure-cubic optical solitons with spatio-temporal and inter-modal dispersion in the absence of chromatic dispersion. To produce the analytical solution of the presented model, we implemented two algorithms, namely, the Kudryashov auxiliary equation method and the new Kudryashov method. These two methods are based on the homogeneous balance constant. We acquired the dark, bright and singular solitons with choosing the appropriate parameter values. The three-dimensional, contour and two-dimensional portraits of some of the obtained solutions were illustrated. Moreover, we investigated the effects of the coefficients of the model parameters on the soliton view with graphical representations.