Method for Solving the Korteweg|deVries Equation

Method for Solving the Korteweg-deVries Equation

A method for solving the initial-value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant ...

Method for solving the Korteweg-deVries equation - Semantic Scholar

A method for solving the initial-value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant ...

The Korteweg-de Vries Equation: History, exact Solutions, and ...

Now the second equation is solved by: Page 9. Klaus Brauer: The Korteweg ... Method of lines solution of the Korteweg - de Vries equation. Comp. & Maths ...

Numerical Solutions to the KdV Equation 1 Introduction 2 A finite ...

“Numerical solution of the. Korteweg-de Vries equation by finite difference and adomian decomposition method.” International Journal of Basic and Applied ...

An efficient numerical method for solving the Korteveg–de Vries ...

In this study, an efficient numerical method is proposed and implemented for solving the well-known one-dimensional Korteveg–de Vries (KdV) equation in a class ...

Korteweg–De Vries equation - Wikipedia

The KdV can be solved by the inverse scattering method (ISM). ... In fact, Clifford Gardner, John M. Greene, Martin Kruskal and Robert Miura developed the ...

jundongq/Korteweg-deVries-KdV-Equation-Solution - GitHub

Pseudo-spectral method was employed to numerically solve KdV equation - jundongq/Korteweg-deVries-KdV-Equation-Solution.

An analytical method for finding exact solutions of modified ...

In this present work, we have studied new extension of the (G′/G)-expansion method for finding the solitary wave solutions of the modified Korteweg–de Vries ( ...

METHOD FOR SOLVING THE KORTEWEG--deVRIES EQUATION.

METHOD FOR SOLVING THE KORTEWEG--deVRIES EQUATION.. United States: N. p., 1967. Web. doi:10.1103/PhysRevLett.19.1095. ... Gardner, C S, Greene, J M, Kruskal, M D, ...

Method for Solving the Korteweg-deVries Equation

Method for Solving the Korteweg-deVries Equation-article.

Using Crank-Nikolson Scheme to Solve the Korteweg-de Vries (KdV ...

Accurately solving the KdV equation is essential for understanding wave dynamics in physics and engineering applications. This project focuses ...

Numerical Solution of Kortweg-de Vries Equation

In this paper, we are going to derive numerical methods for solving the KdV equation using Pade approximation for space direction, trapezoidal and implicit mid ...

Korteweg–de Vries Equation (KdV), Some Numerical Methods for ...

The exponentialfinite-difference method is used to solve the KdV equation with the initial and boundary conditions by Bahadir [52]. Jain et al. [53] developed a ...

Numerical Solution of Korteweg-de Vries Equation by the Fourier ...

Key words and phrases : Korteweg-de Vries equation, Fourier pseudospectral method, artificial viscosity. Bull. Belg. Math. Soc. Simon Stevin 14(2007), 709–721 ...

Method for Solving the Korteweg-deVries Equation - Scilit

A method for solving the initial-value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant ...

Korteweg-de Vries equation - Encyclopedia of Mathematics

This whole procedure of solving the KdV-equation is known as the inverse spectral-transform method (IST-method, inverse-scattering method), and ...

(PDF) Analytical solutions of Kortweg-de Vries (KDV) equation

Recently, many numerical, approximate and iteration variation methods are used for solving nonlinear problems such as Navier-Stokes, Burger, and Korteweg- ...

Communications on Pure and Applied Mathematics

Korteweg-devries equation and generalizations. VI. methods for exact solution. Clifford S. Gardner,. Clifford S. Gardner. The University of Texas.

solving the korteweg-de vries equation by its bilinear form ...

The key technique is to apply varia- tion of parameters in solving the involved non-homogeneous partial differential equations. The obtained ...

Korteweg–de Vries Equation (KdV), Different Analytical Methods for ...

This paper presents the analytical methods for obtaining the exact solutions of the Korteweg–de Vries Equation (KdV equation).