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

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

Year 2025, Volume: 46 Issue: 1, 98 - 108, 25.03.2025

Emre Aydın , İnci Çilingir Süngü

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

https://izlik.org/JA59ZA42NC

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

Modified Variational İteration Method (MVIM); , Modified Variational İteration Laplace Transform Method (MVILTM); , Modified Variational İteration Sumudu Transform Method (MVISTM); , The Drinfeld-Sokolov-Wilson (DSW) System.

References

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