A Comparative Analysis of the Fractional-Order Coupled Korteweg–De Vries Equations with the Mittag–Leffler Law

• Published in: Journal of mathematics (Hidawi) Vol. 2022; no. 1
• Main Authors: Aljahdaly, Noufe H., Akgül, Ali, Shah, Rasool, Mahariq, Ibrahim, Kafle, Jeevan
• Format: Journal Article
• Language: English
• Published: Cairo Hindawi 2022; John Wiley & Sons, Inc; Wiley
• Subjects: Banach spaces; Decomposition; Exact solutions; Iterative methods; Korteweg-Devries equation; Mathematics; Nonlinear systems; Partial differential equations; Water waves

This article applies efficient methods, namely, modified decomposition method and new iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries equations with the Atangana–Baleanu fractional derivative. The nonlinear fractional coupled systems investigated in this current a...