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Article

Fractional System of Korteweg-De Vries Equations via Elzaki Transform

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College of Science, Hainan University, Haikou 570228, China
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Faculty of Network, Haikou College of Economics, Haikou 571127, China
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AMPSAS, University College Dublin, D4 Dublin, Ireland
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Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 58307, Vietnam
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Faculty of Mathematics & Statistics, Ton Duc Thang University, Ho Chi Minh City 58307, Vietnam
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Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
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Author to whom correspondence should be addressed.
Academic Editor: Carlo Bianca
Mathematics 2021, 9(6), 673; https://doi.org/10.3390/math9060673
Received: 10 February 2021 / Revised: 4 March 2021 / Accepted: 10 March 2021 / Published: 22 March 2021
In this article, a hybrid technique, called the Iteration transform method, has been implemented to solve the fractional-order coupled Korteweg-de Vries (KdV) equation. In this method, the Elzaki transform and New Iteration method are combined. The iteration transform method solutions are obtained in series form to analyze the analytical results of fractional-order coupled Korteweg-de Vries equations. To understand the analytical procedure of Iteration transform method, some numerical problems are presented for the analytical result of fractional-order coupled Korteweg-de Vries equations. It is also demonstrated that the current technique’s solutions are in good agreement with the exact results. The numerical solutions show that only a few terms are sufficient for obtaining an approximate result, which is efficient, accurate, and reliable. View Full-Text
Keywords: coupled KdV system; new iterative method; Elzaki transform; Caputo operator coupled KdV system; new iterative method; Elzaki transform; Caputo operator
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MDPI and ACS Style

He, W.; Chen, N.; Dassios, I.; Shah, N.A.; Chung, J.D. Fractional System of Korteweg-De Vries Equations via Elzaki Transform. Mathematics 2021, 9, 673. https://doi.org/10.3390/math9060673

AMA Style

He W, Chen N, Dassios I, Shah NA, Chung JD. Fractional System of Korteweg-De Vries Equations via Elzaki Transform. Mathematics. 2021; 9(6):673. https://doi.org/10.3390/math9060673

Chicago/Turabian Style

He, Wenfeng, Nana Chen, Ioannis Dassios, Nehad A. Shah, and Jae D. Chung. 2021. "Fractional System of Korteweg-De Vries Equations via Elzaki Transform" Mathematics 9, no. 6: 673. https://doi.org/10.3390/math9060673

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