ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION
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 iteratio...
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University of Zakho
2025-07-01
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| Series: | Science Journal of University of Zakho |
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| Online Access: | https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/1561 |
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| author | Knier Salih Saad Manaa |
| author_facet | Knier Salih Saad Manaa |
| author_sort | Knier Salih |
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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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| format | Article |
| id | doaj-art-fded9a700c624cab8f2238f517f4fb08 |
| institution | Matheson Library |
| issn | 2663-628X 2663-6298 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | University of Zakho |
| record_format | Article |
| series | Science Journal of University of Zakho |
| spelling | doaj-art-fded9a700c624cab8f2238f517f4fb082025-07-13T07:25:32ZengUniversity of ZakhoScience Journal of University of Zakho2663-628X2663-62982025-07-0113310.25271/sjuoz.2025.13.3.1561ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATIONKnier Salih0Saad Manaa1Department of Mathematics, College of Science, University of Zakho, Zakho, Kurdistan Region, Department of Mathematics, College of Science, University of Zakho, Zakho, Kurdistan Region, Iraq 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 https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/1561Sasa-Satsuma EquationNonlinear Schrödinger EquationNumerical SolutionAdomian Decomposition Method, Hirota-Satsuma coupled kdv systems, Sumudu Transform method. |
| spellingShingle | Knier Salih Saad Manaa ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION Science Journal of University of Zakho Sasa-Satsuma Equation Nonlinear Schrödinger Equation Numerical Solution Adomian Decomposition Method, Hirota-Satsuma coupled kdv systems, Sumudu Transform method. |
| title | ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION |
| title_full | ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION |
| title_fullStr | ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION |
| title_full_unstemmed | ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION |
| title_short | ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION |
| title_sort | adomian decomposition method and variational iteration method for solving sasa satsuma equation |
| topic | Sasa-Satsuma Equation Nonlinear Schrödinger Equation Numerical Solution Adomian Decomposition Method, Hirota-Satsuma coupled kdv systems, Sumudu Transform method. |
| url | https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/1561 |
| work_keys_str_mv | AT kniersalih adomiandecompositionmethodandvariationaliterationmethodforsolvingsasasatsumaequation AT saadmanaa adomiandecompositionmethodandvariationaliterationmethodforsolvingsasasatsumaequation |