A nonlinear Schro?dinger equation including the parabolic law and its dark solitons

The main goal of the current paper is to analyze nonlinear effects on dynamical feathers of soliton waves in a nonlinear Schro center dot dinger equation (NLSE) including the parabolic law. To this end, after applying the complex envelope and distinguishing real and imaginary structures, a group of dark solitons to the governing model are retrieved using the Kudryashov method. Based on the results, by adjusting the values of nonlinear effects, the amplitude of the dark solitons can be easily controlled.

Automated summary

The main aim of this paper is to analyze the nonlinear effects on the dynamics of soliton waves in a nonlinear Schrödinger equation (NLSE) with the inclusion of the parabolic law. To achieve this, the Kudryashov method is used to obtain a group of dark solitons by applying the complex envelope and distinguishing between real and imaginary structures. Based on the results, the amplitude of the dark solitons can be easily controlled by adjusting the values of the nonlinear effects.