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Symmetry
Volume 16
Issue 8
10.3390/sym16081055
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)+

by
Hassan Eltayeb Gadain
*,
Imed Bachar
and
Said Mesloub
Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
*
Author to whom correspondence should be addressed.
Symmetry 2024, 16(8), 1055; https://doi.org/10.3390/sym16081055 (registering DOI)
Submission received: 20 July 2024 / Revised: 3 August 2024 / Accepted: 6 August 2024 / Published: 15 August 2024
(This article belongs to the Special Issue Discussion of Properties and Applications of Integral Transform)
Versions Notes

Abstract

The main aim of this article is to modify the space-time fractionalKdV equations using the Bessel operator. The triple Laplace transform decomposition method (TLTDM) is proposed to find the solution for a time-fractional singular KdV coupled system of equations. Three problems are discussed to check the accuracy and illustrate the effectiveness of this technique. The results imply that our method is very active and easy to utilize while analyzing the manner of nonlinear fractional differential equations appearing in the joint field of science and mathematics. Moreover, this method is fast convergent if we compare it with the existing techniques in the literature.
Keywords: double Laplace; triple Laplace transform; inverse triple Laplace transform; coupled KdV equation; decomposition methods double Laplace; triple Laplace transform; inverse triple Laplace transform; coupled KdV equation; decomposition methods

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MDPI and ACS Style

Gadain, H.E.; Bachar, I.; Mesloub, S. Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)+. Symmetry 2024, 16, 1055. https://doi.org/10.3390/sym16081055

AMA Style

Gadain HE, Bachar I, Mesloub S. Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)+. Symmetry. 2024; 16(8):1055. https://doi.org/10.3390/sym16081055

Chicago/Turabian Style

Gadain, Hassan Eltayeb, Imed Bachar, and Said Mesloub. 2024. "Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)+" Symmetry 16, no. 8: 1055. https://doi.org/10.3390/sym16081055

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