Nonlinear and Dispersive Effects on Dark Soliton Interaction in Photonic Crystal Fibre

Abstract This study presents a numerical method for solving the GNLSE and analyzing soliton interaction phenomena in the context of MATLAB. With this method, one can precisely capture the dynamics of solitons and explore their interactions. analyses the impact of nonlinear influences on soliton dynamics, including self-phase modulation, Brillion and Raman effects, and beginning separation distance. It also focuses on how higher-order dispersion variables shape soliton interactions. Our findings demonstrate the accuracy with which the proposed numerical approach may be used to predict and analyze soliton interaction processes. Through the flexible and effective framework that the MATLAB technique offers, researchers may analyze complicated nonlinear optical systems, get insight into the behavior of solitons in various media, and create optimal communication systems. This work advances our knowledge of soliton dynamics and offers a useful method for examining soliton behavior in nonlinear and dispersive media. The numerical method utilizing MATLAB that is given offers new possibilities for nonlinear optics research and systems for fiber optic communication.