Fractional System of Korteweg-De Vries Equations via Elzaki Transform

Wenfeng He, Nana Chen, Ioannis Dassios, Nehad Ali Shah and Jae Dong Chung
Additional contact information
Wenfeng He: College of Science, Hainan University, Haikou 570228, China
Nana Chen: Faculty of Network, Haikou College of Economics, Haikou 571127, China
Ioannis Dassios: AMPSAS, University College Dublin, D4 Dublin, Ireland
Nehad Ali Shah: Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 58307, Vietnam
Jae Dong Chung: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea

Mathematics, 2021, vol. 9, issue 6, 1-18

Abstract: 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.

Keywords: coupled KdV system; new iterative method; Elzaki transform; Caputo operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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