Differential Quadrature Method to Examine the Dynamical Behavior of Soliton Solutions to the Korteweg-de Vries Equation

Nonlinear evolution equations are crucial for understanding the phenomena in science and technology. One such equation with periodic solutions that has applications various fields of physics is Korteweg-de Vries (KdV) equation. In present work, we concerned implementation a newly defined quintic B-spline basis function differential quadrature method solving The results presented using four experiments involving single soliton interaction solitons. accuracy efficiency by computing L 2 id="M2"> ∞ norms along conservational quantities forms tables. show proposed scheme not only gives acceptable but also consumes less time, as shown CPU elapsed time two examples. graphical representations obtained numerical compared exact solution to discuss nature solitons their interactions more than one soliton.