scholarly journals A nonlinear inverse problem of the Korteweg-de Vries equation

2018 ◽  
Author(s):  
Shengqi Lu ◽  
Miaochao Chen ◽  
Qilin Liu
Keyword(s):  
Inverse Problem ◽  
Vries Equation ◽  
Nonlinear Inverse Problem ◽  
De Vries

scholarly journals A nonlinear inverse problem of the Korteweg–de Vries equation

2019 ◽  
Vol 09 (03) ◽  
pp. 1950014
Author(s):  
Shengqi Lu ◽  
Miaochao Chen ◽  
Qilin Liu
Keyword(s):  
Inverse Problem ◽  
Existence And Uniqueness ◽  
Vries Equation ◽  
Nonlinear Inverse Problem ◽  
Uniqueness Of Solutions ◽  
De Vries

In this paper, we prove the existence and uniqueness of solutions of an inverse problem of the simultaneous recovery of the evolution of two coefficients in the Korteweg–de Vries equation.

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
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