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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Vydáno v:	Wasit Journal of Computer and Mathematics Science Ročník 2; číslo 2; s. 97 - 108
Hlavní autoři:	Ali A. Mustafa, Al-Hayani, Waleed
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	College of Computer and Information Technology – University of Wasit, Iraq 30.06.2023
Témata:	coupled Schrödinger–KdV equation Genetic Algorithm Lagrange multiplier Modified variational iteration method Variational iteration method
ISSN:	2788-5887, 2788-5879, 2788-5879, 2788-5887
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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