Optimal Parameters for Nonlinear Hirota-Satsuma Coupled KdV System by Using Hybrid Firefly Algorithm with Modified Adomian Decomposition

In this paper, several parameters of the non-linear Hirota-Satsuma coupled KdV system were estimated using a hybrid between the Firefly Algorithm (FFA) and the Modified Adomian decomposition method (MADM). It turns out that optimal parameters can significantly improve the solutions when using a suit...

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Bibliographic Details
Published in:	Journal of mathematical and fundamental sciences Vol. 52; no. 3; pp. 339 - 352
Main Authors:	Qasim, Omar Saber, Abed, Karam Adel, Qasim, Ahmed F.
Format:	Journal Article
Language:	English
Published:	ITB Journal Publisher 2021
Subjects:	Adomian decomposition method firefly algorithm Hirota-Satsuma coupled kdv
Online Access:	Get full text
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Summary:	In this paper, several parameters of the non-linear Hirota-Satsuma coupled KdV system were estimated using a hybrid between the Firefly Algorithm (FFA) and the Modified Adomian decomposition method (MADM). It turns out that optimal parameters can significantly improve the solutions when using a suitably selected fitness function for this problem. The results obtained show that the approximate solutions are highly compatible with the exact solutions and that the hybrid method FFA_MADM gives higher efficiency and accuracy compared to the classic MADM method.
ISSN:	2337-5760 2338-5510
DOI:	10.5614/j.math.fund.sci.2020.52.3.7