In mathematics, the Korteweg–De Vries (KdV) equation is a partial differential equation (PDE) which serves as a mathematical model of waves on shallow water ...
People also ask
What are the numerical methods of KdV equation?
What is the equation for e Korteweg-de Vries?
What is the KdV equation for solitons?
What is the 2 soliton solution KdV?
The solutions to (1) are called Solitons or Solitary waves. The Korteweg-de Vries is a hyperbolic PDE in the general sense of the hyperbolicity definition. From ...
We prove that if the approximation obtained by operator splitting converges, then the limit function is a weak solution of the generalized KdV equation.
Nov 6, 2023 · Abstract. We consider propagation of solitons along large-scale background waves in the generalized Korteweg–de Vries (gKdV) equation theory ...
In this paper, we fully revisit the analysis close to the soliton for gKdV in light of the recent progress on the study of critical dispersive blow-up problems ...
Missing: Numerical | Show results with:Numerical
We present and illustrate a new numerical scheme for the numerical approximation of modified Korteweg–de Vries (mKdV) equation. The spatial derivatives ...
Duration: 1:16:19
Posted: Sep 28, 2021
Posted: Sep 28, 2021
Missing: Numerical | Show results with:Numerical
Abstract: Certain explicit solutions to the Korteweg-de Vries equation in the first quad- rant of the xt-plane are presented.
This is a lecture about some of the properties of the Korteweg-de Vries equation, and its role in the history of the subject of soliton theory. The KdV equation ...
We propose a numerical method for finding solitary wave solutions of generalized Korteweg-de Vries equations by solving the nonlinear eigenvalue problem on ...