The main aim of this article is to modify the space-time fractionalKdV equations using the Bessel operator. The triple Laplace transform decomposition method (TLTDM) is proposed to find the solution for a time-fractional singular KdV coupled system of equations. Three problems are discussed to check the accuracy and illustrate the effectiveness of this
Hassan Eltayeb Gadain +2 more
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A Novel Approach to Solving Generalised Nonlinear Dynamical Systems Within the Caputo Operator
In this study, we focus on solving the nonlinear time-fractional Hirota–Satsuma coupled Korteweg–de Vries (KdV) and modified Korteweg–de Vries (MKdV) equations, using the Yang transform iterative method (YTIM).
Mashael M. AlBaidani, Rabab Alzahrani
doaj +1 more source
Numerical Studying of Soliton in the Korteweg-de Vries (KdV) Equation
Lia Yuliawati +2 more
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Effects of Nonextensive Electrons on Dust-Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions. [PDF]
Liu Z.
europepmc +1 more source
Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method. [PDF]
Shang J, Li W, Li D.
europepmc +1 more source
Energy Dynamics of Long-Wave Low-Amplitude Disturbances in an Anharmonic One-Dimensional Lattice. [PDF]
Shcherbinin S, Baimova J, Krivtsov A.
europepmc +1 more source
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]
Congy T, El GA, Roberti G, Tovbis A.
europepmc +1 more source
Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method. [PDF]
Hussain A +5 more
europepmc +1 more source
Learning the Nonlinear Solitary Wave Solution of the Korteweg-De Vries Equation with Novel Neural Network Algorithm. [PDF]
Wen Y, Chaolu T.
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