Optical soliton solutions of the stochastic perturbed Radhakrishnan-Kundu-Lakshmanan equation via Itô Calculus

Abstract

This study presents, for the first time, optical solitons of the stochastic perturbed Radhakrishnan-Kundu-Lakshmanan equation with chromatic and spatio-temporal dispersion terms having Kerr law foırm of self-phase modulation. The stochastic form involves multiplicative white noise in the Ito sense, besides; the Kudryashov and new Kudryashov methods are picked to analyze stochastic optical soliton solutions. This analysis of the stochastic soliton solutions of the Radhakrishnan-Kundu-Lakshmanan equation and the impact of noise on these solitons
is the primary motivation for choosing both of these techniques rather than obtaining many solitons. Therefore, the first goal is to obtain the most basic soliton types, bright and dark solitons, and the second goal is to observe the white noise effect on these solitons. By applying the proposed methods, bright and dark solitons are obtained, and the noise effect on these solitons is illustrated using both 3D and 2D graphic presentations, along with necessary
comments. The presentation of the examined model for the first time in this article reflects its originality in terms of contributing both the study and the obtained results to the literature.