Korteweg de Vries type equation with variable coefficients

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 ...

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

... Korteweg-de Vries (KdV) equation with variable coefficients and/or with nonuniformities. Various forms of these KdV type equations arise in many physical ...

Exact solutions of stochastic Burgers–Korteweg de Vries type ...

Exact solutions for three variations of stochastic Korteweg de Vries-Burgers equations are shown. ... The coefficients in all three variants of the equation are ...

SYMMETRY ANALYSIS OF THE KORTEWEG-DE VRIES EQUATION

... KdV equation is analysed in [13]. The symmetry reductions of the (2+1)-dimensional KdV equation with variable coefficients are obtained in [19] and all two ...

On the KdV-type equation with variable coefficients - IOPscience

In this paper, the KdV-type equations with variable coefficients appearing a lot in the literature are discussed generally. The explicit transformations which ...

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

The Lie symmetry analysis of a power law in-time coefficients Korteweg–de Vries (KdV) equation is performed with the aim of specifying the model parameters ( ...

On a Korteweg–de Vries equation with variable coefficients in ...

An equation of the Korteweg–de Vries (KdV) type with variable coefficients in cylindrical coordinates for nonlinear wave propagation on ...

On well-posedness for some Korteweg–de Vries type equations with ...

We have in view in particular the example of the KdV equation with variable coefficients (see for instance [10, 14]) for which \( \beta \equiv 0 ...

[2108.11104] On well-posedness for some Korteweg-De Vries type ...

Abstract:In this paper, KdV-type equations with time- and space-dependent coefficients are considered. ... The LWP in H^s(\mathbb{R}), s>1/2, in ...

On well-posedness for some Korteweg-De Vries type equations with ...

Korteweg- de Vries equation, Variable coefficients. 1. Page 3. 2. LUC MOLINET, RAAFAT TALHOUK AND IBTISSAME ZAITER.

Exact solutions of stochastic Burgers–Korteweg de Vries type ...

... Korteweg de Vries–Burgers (KdV–Burgers) equation featuring variable coefficients. In each variant, white noise exhibits spatial uniformity ...

Integrability study and numerical analysis of a Korteweg-de Vries ...

PDF | The variable coefficient Korteweg-de Vries (KdV) equation u1+αtnuux+βtmuxxx=0 is shown to be exceptional in the two cases m = n and m = 2n +1 by.

"Exact solutions of stochastic Burgers–Korteweg de Vries type ...

We will present exact solutions for three variations of the stochastic Korteweg de Vries–Burgers (KdV–Burgers) equation featuring variable coefficients.

Variable coefficient KdV equation with time-dependent variable ...

Taking the strict solution of the standard constant coefficient KdV equation as the initial value, the approximate analytical solution of the ...

Stepwise Asymptotic Solutions to the Korteweg–De Vries Equation ...

The Korteweg–de Vries equation with variable coefficients and a small parameter of the first level at the higher-order derivative is considered.

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 elliptic function ...

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 ...

On well-posedness for some Korteweg-De Vries type equations with ...

In this paper, KdV-type equations with time-and space-dependent coefficients are considered. Assuming that the dispersion coefficient in front of u_{xxx} is ...

Variable coefficient third order Korteweg–de Vries type of equations

Variable coefficient third order Korteweg–de Vries type of equations. Metin Gürses and Atalay Karasu. Citation: J. Math. Phys. 36, 3485 (1995); doi: 10.1063 ...

SOLUTIONS OF A NONISOSPECTRAL AND VARIABLE ...

A new type of KdV equation with a nonisospectral Lax pair as well as variable coefficients is introduced. Its Lax pair is shown to be invariant under the ...