SPLIT - STEP FOURIER METHOD FOR THE ONE-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION

Authors

  • T. B. Tilavova Student
  • H. O. Xudoyberganova Jizzakh State Pedagogical University, Jizzakh, Uzbekistan

Keywords:

nonlinear Schrödinger equation (NLSE), numerical approach of splitting into physical ¬processes , optical fibers, pseudospectral Fourier method.

Abstract

In this paper, we present a numerical physical splitting approach ¬using the Fourier transform (SSFT) to solve the one-dimensional nonlinear Schrödinger equation (NLSE) that includes the fiber loss term. Although this basic equation defines the propagation of a pulse in a loss fiber, it is not supported by an accurate analytical solution. Based on this, the MATLAB numerical results confirm that the physical splitting numerical approach ¬using the Fourier transform (SSFT) demonstrates superior performance compared to other proposed schemes in simulating the propagation of solitons in a loss optical fiber.

Downloads

Published

2023-11-30

Issue

Section

Articles

How to Cite

SPLIT - STEP FOURIER METHOD FOR THE ONE-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION. (2023). Spectrum Journal of Innovation, Reforms and Development, 21, 173-177. https://sjird.journalspark.org/index.php/sjird/article/view/833