scholarly journals The method of separation of variables for local fractional Korteweg-de Vries equation

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 859-862 ◽  
Author(s):  
Jia-Yu Zhuang ◽  
Peng Qiao ◽  
Zhe-Min Li
Keyword(s):  
Analytical Solution ◽  
Vries Equation ◽  
Dimensional Space ◽  
Separation Of Variables ◽  
De Vries

This paper presents the analytical solution of the local fractional linear Korteweg-de Vries equation in (1 + 1) fractal dimensional space by using the method of separation of variables.

scholarly journals Fifth order semi analytical solution of exact Korteweg-de Vries equation

2018 ◽  
Vol 1116 ◽  
pp. 022002 ◽  
Author(s):  
Afriadi ◽  
Yulia Zahara ◽  
Vera Halfiani ◽  
Harish Abdillah Mardi ◽  
Marwan Ramli
Keyword(s):  
Analytical Solution ◽  
Vries Equation ◽  
De Vries ◽  
Fifth Order

scholarly journals Approximate analytical solution for modified Korteweg-de Vries equation with local fractional derivative via new iterative method

2020 ◽  
Vol 24 (6 Part B) ◽  
pp. 4027-4032
Author(s):  
Shu-Xian Deng ◽  
Zhi-Jun Wang
Keyword(s):  
Analytical Solution ◽  
Iterative Method ◽  
Fractional Derivative ◽  
Vries Equation ◽  
Approximate Analytical Solution ◽  
Variable Coefficients ◽  
Local Fractional Derivative ◽  
De Vries ◽  
New Iterative Method

In this paper, we obtain the approximate analytical solution of variable coefficients modified Korteweg-de Vries equation with local fractional derivative by using new iterative method.

scholarly journals Homotopy Analysis Method for Conformable Burgers-Korteweg-de Vries Equation

2016 ◽  
Vol 17 ◽  
pp. 17-23 ◽  
Author(s):  
Ali Kurt ◽  
Orkun Tasbozan ◽  
Yücel Cenesiz
Keyword(s):  
Exact Solution ◽  
Analytical Solution ◽  
Homotopy Analysis Method ◽  
Vries Equation ◽  
Approximate Analytical Solution ◽  
Analysis Method ◽  
Conformable Derivative ◽  
De Vries ◽  
Homotopy Analysis

The main goal of this paper is nding the approximate analytical solution of Burgers-Korteweg-de Vries with newly de ned conformable derivative by using homotopy analysis method (HAM). Then the approximate analytical solution is compared with the exact solution and comparative tables are given.

Integration of the nonlinear modified Korteweg-de Vries equation with a loaded term

2020 ◽  
Vol 2020 (2) ◽  
pp. 85-98
Author(s):  
A.B. Khasanov ◽  
T.J. Allanazarova
Keyword(s):  
Vries Equation ◽  
De Vries ◽  
Loaded Term

Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One

2020 ◽  
Author(s):  
Giuseppe Maria Coclite ◽  
Lorenzo di Ruvo
Keyword(s):  
A Priori Estimates ◽  
Vries Equation ◽  
A Priori ◽  
Diffusion Parameter ◽  
Priori Estimates ◽  
De Vries ◽  
Wall Interactions

The Rosenau-Korteweg-de Vries equation describes the wave-wave and wave-wall interactions. In this paper, we prove that, as the diffusion parameter is near zero, it coincides with the Korteweg-de Vries equation. The proof relies on deriving suitable a priori estimates together with an application of the Aubin-Lions Lemma.

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