Exact solutions of a variable coefficient KdV equation

Exact solutions of a variable coefficient KdV equation: Power law in ...

KdV equation is a good example of an integrable equation but some of its classes may not be integrable. In this work, we consider a time-variable coefficient ...

Exact solution of a KdV equation with variable coefficients

Abstract. A simple direct method is developed for finding exact solutions of nonlinear equations with variable coefficients. The (1 + 1)-dimensional KdV ...

New Exact Solutions of a Variable-Coefficient KdV Equation - m-hikari

Solving the vcmKdV equation by use of the auxiliary equation method and using the Miura transformation, we find a rich variety of new exact solutions for the ...

Exact Solutions to KdV Equations with Variable Coefficients ... - CORE

Keywords--KdV equation, Variable coefficients, Pounlevd analysis, Exact solutions. 1. INTRODUCTION. In the last decade, there has been considerable interest in ...

Exact Solutions of a Variable-Coefficient KdV Equation Arising in a ...

For a practically acceptable water bottom, we find that it can be transformed into the cylindrical. KdV equation. As a result, several exact bounded solutions ...

Exact Solutions for Coupled Variable Coefficient KdV Equation via ...

The exact traveling wave solutions to coupled KdV equations with variable coefficients are obtained via the use of quadratic Jacobi's ...

NEW EXACT SOLUTIONS TO KdV EQUATIONS WITH VARIABLE ...

Abstract：Jacobi elliptic function expansion method is extended to construct the exact solutions to another kind of KdV equations，which have variable ...

Exact Solutions of a Variable-Coefficient KdV Equation Arising in a ...

Exact Solutions of a Variable-Coefficient KdV Equation Arising in a Shallow Water ... This paper studies a variable-coefficient KdV (vcKdV) equation arising in a ...

Exact solutions of a KdV equation with variable coefficients via Exp ...

In this paper, the Exp-function method is used to obtain generalized solitonary solutions and periodic solutions of a KdV equation with five ...

Exact solutions of a KdV equation hierarchy with variable coefficients

Exact solutions of the KdV equation hierarchy are obtained through the inverse scattering transformation (IST). It is shown that the IST is an effective ...

"Some exact solutions of KdV equation with variable coefficients ...

It is shown that in the commented paper the exact solutions were found only for those variable-coefficient KdV equations which are reduced to the classical ...

Some new exact solutions for a generalized variable coefficients ...

Then, the traveling wave transformation is utilized to transform the obtained constant coefficients generalized KdV equation into a generalized ordinary ...

(PDF) New exact solutions for a generalized variable-coefficient KdV ...

New exact solutions for a generalized variable-coefficient KdV equation were obtained using the generalized expansion method [R. Sabry, M.A. Zahran, E.G. ...

Abundant exact solutions of higher-order dispersion variable ...

In this article, various exact solutions of the fifth-order variable coefficient KdV equation with higher-order dispersion term are studied.

The Exact Solutions of Variable Coefficient Auxiliary High Order ...

In this paper the second type KdV equation with variable coefficients is studied, and their exact solutions are obtain. The method is obviously suitable to ...

dimensional Variable-Coefficient KdV Equation

Although the variable coefficients increase the difficulty of our investigation, many researchers have investigated the integrable property and exact solutions ...

NEW EXACT SOLUTIONS TO KdV EQUATIONS WITH VARIABLE ...

solutions and corresponding shock or solitary wave solutions to variable-coefficient or forced KdV equations. 1 Extended Jacobi Elliptic ...

New bäcklund transformation and exact solutions for variable ...

In this paper, with the aid of Lax pairs, a new Bäcklund transformation for the variable coefficient KdV equation is found. Based on the Bäcklund ...

Some exact solutions of KdV equation with variable coefficients

In this paper, the extended mapping transformation method is used to obtain some new exact solutions of a variable-coefficient KdV equation arising in ...

Some exact solutions of KdV equation with variable coefficients

Request PDF | Some exact solutions of KdV equation with variable coefficients | In this paper, the extended mapping transformation method is ...