Pure-Cubic Optical Soliton Perturbation Having Cubic-Quintic Law of Self-Phase Modulation via the New Kudryashov Integration Scheme

Abstract

This paper secures dark and bright pure-cubic optical soliton solution to the perturbed third-order nonlinear Schrödinger’s equation having the cubic-quintic law nonlinearity of self-phase modulation with a couple of self-frequency shift and nonlinear dispersion perturbation terms which related to the Hamiltonian. The recently introduced new Kudryashov integration scheme is used to retrieve these soliton solutions. The suitable parameter selections for the existence of such solitons are also presented. In the second stage, the effects of these terms on the soliton forms are investigated by the cubic-quintic form of the problem under study. The findings obtained are supported by 3D and 2D figures and necessary explanations are presented.