NUMERICAL SOLUTION OF CUBIC-QUINTIC NONLINEAR SCHRÖDINGER EQUATION

Authors

  • kazheen Hasan Omar Department of Mathematics, College of Science, University of Zakho, Kurdistan Region, Iraq
  • Fadhil H. Easif Department of Mathematics, College of Science, University of Zakho, Kurdistan Region, Iraq

DOI:

https://doi.org/10.25271/sjuoz.2025.13.4.1595

Keywords:

Numerical solution, (100) GaAs, Residual Power Series Method, Variational Iteration Method, Lagrange multiplier

Abstract

This paper is devoted to investigating and comparing the variational iteration method (VIM) and the residual power series method (RPSM) for solving the cubic-quintic nonlinear Schrödinger equation (CQNLSE) initially developed to elucidate the propagation of pulses in optical fibers. Next, we use the initial conditions to get the numerical solutions of the CQNLSE. We compared the known exact solutions with the approximate results obtained using both the VIM and RPSM. The exact solution and the results from RPSM are evaluated against those from VIM. The findings demonstrated that VIM outperformed RPSM in terms of accuracy, efficiency, and ease of implementation for solving the CQNLSE. In addition, the current results are shown graphically and in the table

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Published

2025-10-02

How to Cite

Hasan Omar, K., & Easif, F. (2025). NUMERICAL SOLUTION OF CUBIC-QUINTIC NONLINEAR SCHRÖDINGER EQUATION. Science Journal of University of Zakho, 13(4), 499–509. https://doi.org/10.25271/sjuoz.2025.13.4.1595

Issue

Vol. 13 No. 4 (2025): October-December issue

Section

Science Journal of University of Zakho

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Copyright (c) 2025 KAZHEEN Hasan Omar, Fadhil H. Easif

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