Optical solitons using optimal homotopy analysis method for time-fractional (1+1)-dimensional coupled nonlinear Schrodinger equations

Abstract

In this paper, the optimal homotopy analysis method is applied to solve (1+1)-dimensional time-fractional coupled nonlinear Schrödinger equations. The proposed method is a powerful tool for obtaining efficient and accurate solutions of nonlinear partial differential equations that models various physical systems. The method is efficiently confirmed through numerical simulations, which also illustrate how altering the fractional derivative parameter impacts the solution behavior. An approximate periodic wave solution and solitary wave solution were obtained. To support the validity of the proposed method, the paper presents various graphs in 2D and 3D to compare the exact and approximate solutions. These graphs demonstrate that the proposed method is highly accurate, even for complex nonlinear systems, and can be used as a powerful tool for predicting the behavior of physical systems.