Solving the coupled Schrödinger -Korteweg- de-Vries system by modified variational iteration method with genetic algorithm

 A system of nonlinear partial differential equations was solved using a modified variational iteration method (MVIM) combined with a genetic algorithm. The modified method introduced an auxiliary parameter (p) in the correction functional to ensure convergence and improve the outcomes. Before apply...

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Veröffentlicht in:Wasit Journal of Computer and Mathematics Science Jg. 2; H. 2; S. 97 - 108
Hauptverfasser: Ali A. Mustafa, Al-Hayani, Waleed
Format: Journal Article
Sprache:Englisch
Veröffentlicht: College of Computer and Information Technology – University of Wasit, Iraq 30.06.2023
Schlagworte:
coupled Schrödinger–KdV equation
Genetic Algorithm
Lagrange multiplier
Modified variational iteration method
Variational iteration method
ISSN:2788-5887, 2788-5879, 2788-5879, 2788-5887
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Zusammenfassung: A system of nonlinear partial differential equations was solved using a modified variational iteration method (MVIM) combined with a genetic algorithm. The modified method introduced an auxiliary parameter (p) in the correction functional to ensure convergence and improve the outcomes. Before applying the modification, the traditional variational iteration method (VIM) was used firstly. The method was applied to numerically solve the system of Schrödinger-KdV equations. By comparing the two methods in addition to some of the previous approaches, it turns out the new algorithm converges quickly, generates accurate solutions and shows improved accuracy. Additionally, the method can be easily applied to various linear and nonlinear differential equations.
ISSN:2788-5887
2788-5879
2788-5879
2788-5887
DOI:10.31185/wjcm.127