A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method
Mohamed Elbadri, Shams A. Ahmed, Yahya T. Abdalla, Walid Hdidi
Abstract
In this article, we applied a new technique for solving the time-fractional coupled Korteweg-de Vries (KdV) equation. This method is a combination of the natural transform method with the Adomian decomposition method called the natural decomposition method (NDM). The solutions have been made in a convergent series form. To demonstrate the performances of the technique, two examples are provided.
Topics & Concepts
Korteweg–de Vries equationAdomian decomposition methodMathematicsDecompositionDecomposition method (queueing theory)Convergent seriesSeries (stratigraphy)Applied mathematicsMathematical analysisPartial differential equationPower seriesChemistryDiscrete mathematicsNonlinear systemPhysicsOrganic chemistryBiologyPaleontologyQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsIterative Methods for Nonlinear Equations