Integration of the general loaded Korteweg-de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions

2021 ◽  
pp. 52-66
Author(s):  
Aknazar Bekdurdiyevich Khasanov ◽  
◽  
Umid Azadovich Hoitmetov ◽  
Keyword(s):  
Vries Equation ◽  
Integral Type ◽  
De Vries ◽  
Complex Valued

Integration of the Matrix Modified Korteweg-de Vries Equation with an Integral-Type Source

2020 ◽  
Vol 203 (3) ◽  
pp. 734-746
Author(s):  
G. U. Urazboev ◽  
U. A. Xoitmetov ◽  
A. K. Babadjanova
Keyword(s):  
Vries Equation ◽  
Integral Type ◽  
De Vries ◽  
The Matrix

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.

scholarly journals A flux reconstruction method for the Korteweg-de Vries equation

2021 ◽  
Vol 1978 (1) ◽  
pp. 012031
Author(s):  
Ningbo Guo ◽  
Yaming Chen ◽  
Xiaogang Deng
Keyword(s):  
Vries Equation ◽  
Flux Reconstruction ◽  
Reconstruction Method ◽  
De Vries
Sign in / Sign up

Export Citation Format

Share Document