ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION

Authors

  • Knier A. Salih Department of Mathematics, College of Science, University of Zakho, Zakho, Kurdistan Region,
  • Saad A. Manaa Department of Mathematics, College of Science, University of Zakho, Zakho, Kurdistan Region, Iraq

DOI:

https://doi.org/10.25271/sjuoz.2025.13.3.1561

Keywords:

Sasa-Satsuma Equation, Nonlinear Schrödinger Equation, Numerical Solution, Adomian Decomposition Method, Hirota-Satsuma coupled kdv systems, Sumudu Transform method.

Abstract

The Sasa-Satsuma equation is an integrable higher-order nonlinear Schrodinger equation. In this paper, two schemes are proposed to study numerical solutions of the Sasa-Satsuma nonlinear Schrödinger equation with initial conditions using the Adomian decomposition method and the variational iteration method. Both approaches produce quickly convergent series for each scheme with particularly important features. The present results have been displayed graphically and, in a table, to demonstrate the effectiveness and applicability of those techniques. The results obtained by the Adomian decomposition method are compared with the exact solution as well as the results obtained by variational iteration method. A comparison between the two approaches reveals that the Adomian decomposition approach is closer and more efficient than the variational iteration approach

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Author Biography

Saad A. Manaa, Department of Mathematics, College of Science, University of Zakho, Zakho, Kurdistan Region, Iraq

Prof. Dr. Saad. A. Manaa, Professor in the Department of Mathematics, University of Zakho.

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Published

2025-07-05

How to Cite

Salih, K., & Manaa, S. (2025). ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION. Science Journal of University of Zakho, 13(3), 400–407. https://doi.org/10.25271/sjuoz.2025.13.3.1561

Issue

Vol. 13 No. 3 (2025): July-September issue

Section

Science Journal of University of Zakho

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Copyright (c) 2025 Knier A. Salih, Saad A. Manaa

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