Mathematical frameworks for investigating fractional nonlinear coupled Korteweg-de Vries and Burger’s equations

• DOI: 10.3389/fphy.2024.1374452
• Publication Date: 2024-04-05T04:24:15Z
• Authors: Saima Noor; Wedad Albalawi; Rasool Shah; M. Mossa Al-Sawalha; Sherif M. E. Ismaeel
• Keywords: burgers equation; system of partial differential equation; integral transform; Physics; QC1-999; KdV equation and approximate solution; 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology; fractional calculus; Caputo derivative

This article utilizes the Aboodh residual power series and transform iteration methods to address fractional nonlinear systems. Based on these techniques, a system is introduced achieve approximate solutions of Korteweg-de Vries (KdV) equations coupled Burger’s with initial conditions, which are developed by replacing some integer-order time derivatives derivatives. The described in Caputo sense. As result, for partial differential may be easily used generate explicit numerical equations. results determined as convergent computable components. applying this process analyzed examples demonstrate that new technique very accurate efficient.