Solitary Solutions for the Stochastic Fokas System Found in Monomode Optical Fibers

Abstract

The stochastic Fokas system (SFS), driven by multiplicative noise in the Itô sense, was investigated in this study. Novel trigonometric, rational, hyperbolic, and elliptic stochastic solutions are found using a modified mapping method. Because the Fokas system is used to explain nonlinear pulse propagation in monomode optical fibers, the solutions provided may be utilized to analyze a broad range of critical physical phenomena. In order to explain the impacts of multiplicative noise, the dynamic performances of the different found solutions are illustrated using 3D and 2D curves. We conclude that multiplicative noise eliminates the symmetry of the solutions of the SFS and stabilizes them.

Optical soliton solutions of fokas system and (2 + 1) Davey-Stewartson system by mapping method

“…Singular solitons are waves with discontinuous derivatives and have importance in the study of rogue waves. Authors in [32] studied conformable model in different Cartesian plane by using three different methods to derive the novel optical solitons solutions, our results are unique and different, moreover, by analyzing our results with some other lately derived solutions in [23][24][25]27], we witness that our solutions are exclusive and the latest and haven't been reported in literature previously. This work might help researchers to understand the physical properties of these models, especially in the field of nonlinear optics, water waves phenomena.…”

“…S. Tarla et al [24] investigated model via Jacobi elliptic function expansion method. WW Mohammed [25] investigated stochastic Fokas system to generate various solitary wave solutions.…”

Abundant optical soliton solutions for the stochastic fractional fokas system using bifurcation analysis

“…To show the behavior of these solutions, numerous graphical representations are provided. For varying values of σ (amplitude of noise) and α (the order of derivatives), we simulate a number of figures for attained solutions, for example, equations (33), ( 34), ( 36) and (37).…”

“…No potential conflict of interest was reported by the authors. ) presented in equation (37) for distinct values of σ = 0, 1, 2 (d) shows a 2D graph for these σ values.…”

“…Due to the significance of FS (1), many researchers have obtained exact solutions for this equation by using various methods, including generalized Kudryashov method [31], simplified extended tanh-function [32], expfunction method [33], Jacobi elliptic function expansion [34,35], sine-cosine and extended rational sinh-cosh methods [36], modified mapping method [37], Hirota's bilinear method [38], k exp( ( )) y --expansion method [39], Painlevé analysis method [40] and new Kudryashov approach [41].…”