Sensitivity analysis and analytical study of the three-component coupled NLS-type equations in fiber optics

This study attempts to investigate the dynamic study of the three-component coupled NLS-type equations. The unified Riccati equation expansion method and the generalized Kudryashov method are used to construct the optical solitons, including the periodic function solution, the trigonometric function solution, the exponential function solution, the solitary wave solution, and the elliptic function solution. The results of this investigation will contribute in gaining a better understanding of the overall illustration of the soliton dynamics system. For the sake of physical demonstration and visual presentation, we graphically illustrate some of the identified solutions in 3D, density and 2D plots using Mathematica software. Moreover, the sensitivity analysis of the proposed system is performed, and it is observed that the given system is highly sensitive, as a small change in the initial conditions causes an abrupt change in the solutions. These outcomes demonstrate that these three strategies are more efficient, simple, and trustworthy than other nonlinear physical system solving techniques developed in nonlinear sciences.