On the Semi-analytical and Hybrid Methods for the Drinfeld-Sokolov-Wilson System Modelling Dispersive Water Waves

Emre Aydın; İnci Çilingir Süngü

doi:10.17776/csj.1510043

EN

On the Semi-analytical and Hybrid Methods for the Drinfeld-Sokolov-Wilson System Modelling Dispersive Water Waves

Abstract

In this study, modified variational iteration method (MVIM), modified variational iteration Laplace transform method (MVILTM) and modified variational iteration Sumudu transform method (MVISTM) are used to examine the Drinfeld-Sokolov-Wilson (DSW) system. Semi-analytical solutions have been obtained and compared with the analytical solutions. Moreover, it illustrates the effect of wave parameter on the approximate solutions. The exact solutions and semi-analytical solutions of the DSW system are compared with each other. Tables give maximum errors of semi-analytical solutions for various iteration values. The comparison of relative errors for various iteration values and the effect of change of wave constant is visualized by figures. Also, it commented on the effectiveness and usefulness of the methods when applied to the DSW system.

Keywords

References

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Details

Primary Language

English

Subjects

Numerical Analysis, Partial Differential Equations

Journal Section

Research Article

Authors

Emre Aydın
0000-0001-7480-0965
Türkiye

İnci Çilingir Süngü ^*
0000-0001-7788-181X
Türkiye

Publication Date

March 25, 2025

Submission Date

July 4, 2024

Acceptance Date

December 30, 2024

Published in Issue

Year 2025 Volume: 46 Number: 1

DOI

https://doi.org/10.17776/csj.1510043

IZ

https://izlik.org/JA59ZA42NC

Cite

RIS / Bibtex

APA

Aydın, E., & Çilingir Süngü, İ. (2025). On the Semi-analytical and Hybrid Methods for the Drinfeld-Sokolov-Wilson System Modelling Dispersive Water Waves. Cumhuriyet Science Journal, 46(1), 98-108. https://doi.org/10.17776/csj.1510043

AMA

1.Aydın E, Çilingir Süngü İ. On the Semi-analytical and Hybrid Methods for the Drinfeld-Sokolov-Wilson System Modelling Dispersive Water Waves. CSJ. 2025;46(1):98-108. doi:10.17776/csj.1510043

Chicago

Aydın, Emre, and İnci Çilingir Süngü. 2025. “On the Semi-Analytical and Hybrid Methods for the Drinfeld-Sokolov-Wilson System Modelling Dispersive Water Waves”. Cumhuriyet Science Journal 46 (1): 98-108. https://doi.org/10.17776/csj.1510043.

EndNote

Aydın E, Çilingir Süngü İ (March 1, 2025) On the Semi-analytical and Hybrid Methods for the Drinfeld-Sokolov-Wilson System Modelling Dispersive Water Waves. Cumhuriyet Science Journal 46 1 98–108.

IEEE

[1]E. Aydın and İ. Çilingir Süngü, “On the Semi-analytical and Hybrid Methods for the Drinfeld-Sokolov-Wilson System Modelling Dispersive Water Waves”, CSJ, vol. 46, no. 1, pp. 98–108, Mar. 2025, doi: 10.17776/csj.1510043.

ISNAD

Aydın, Emre - Çilingir Süngü, İnci. “On the Semi-Analytical and Hybrid Methods for the Drinfeld-Sokolov-Wilson System Modelling Dispersive Water Waves”. Cumhuriyet Science Journal 46/1 (March 1, 2025): 98-108. https://doi.org/10.17776/csj.1510043.

JAMA

1.Aydın E, Çilingir Süngü İ. On the Semi-analytical and Hybrid Methods for the Drinfeld-Sokolov-Wilson System Modelling Dispersive Water Waves. CSJ. 2025;46:98–108.

MLA

Aydın, Emre, and İnci Çilingir Süngü. “On the Semi-Analytical and Hybrid Methods for the Drinfeld-Sokolov-Wilson System Modelling Dispersive Water Waves”. Cumhuriyet Science Journal, vol. 46, no. 1, Mar. 2025, pp. 98-108, doi:10.17776/csj.1510043.

Vancouver

1.Emre Aydın, İnci Çilingir Süngü. On the Semi-analytical and Hybrid Methods for the Drinfeld-Sokolov-Wilson System Modelling Dispersive Water Waves. CSJ. 2025 Mar. 1;46(1):98-108. doi:10.17776/csj.1510043