High-Order Coupled Nonlinear Schrodinger Equations and Their Analytical Solutions for Optical Fibre Communications

Bilal M

Published on: 2024-12-30

Abstract

The goal of the present work is to investigate the Connected Higher-Order Nonlinear Schrodinger Equations(CHNSE), a mathematical model that simulates the behaviour of solitons in multimode fibers. We used asophisticated algebraic technique to analyze CHNSE. Our results show a variety of exact solutions, such as,Solitons that are bright and dark - Solitons that are single answers for the Weierstrass elliptic function, Periodic singular solutions that are hyperbolic and Jacobi elliptic. Thus, these modifications aid in thecomprehension of the intricate light behaviour exhibited by fibres. The final solutions’ physical characteristics are graphically shown using density and three-dimensional graphics. Deeper understanding of nonlinearoptical processes is essential, especially with regard to multimode fibres utilised in high-speed communication systems, thanks to the CHNSE model. New optical communication technologies are developed as aresult of our effort.