On the Analytical and Numerical Solutions of the One-Dimensional Nonlinear Schrodinger Equation

In this paper, four compelling numerical approaches, namely, the split-step Fourier transform (SSFT), pseudospectral method (FPSM), Crank-Nicolson (CNM), and Hopscotch (HSM), are exhaustively presented for solving 1D nonlinear Schrodinger equation (NLSE). The significance of is referred to its notable contribution in modeling wave propagation a plethora crucial real-life applications such as fiber optics field. Although exact solutions can be obtained solve equation, these extremely insufficient because their limitations only unique structure under some limited initial conditions. Therefore, seeking high-performance techniques manipulate well-known our fundamental purpose study. regard, extensive comparisons proposed against solution, conducted investigate benefits each them along with drawbacks, targeting broad range temporal spatial values. Based on simulations via MATLAB, we extrapolated that SSFT invariably exhibits topmost robust potentiality equation. However, other suggested schemes substantiated consistently accurate, but they might generate higher errors or even consume more processing time certain