A discrete multiple scales analysis of a discrete version of the korteweg-de Vries equation

1992 ◽  
Vol 99 (2) ◽  
pp. 352
Author(s):  
S.W. Schoombie
1978 ◽  
Vol 48 (2) ◽  
pp. 213-226 ◽  
Author(s):  
M. Bruschi ◽  
D. Levi ◽  
O. Ragnisco

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

Author(s):  
Giuseppe Maria Coclite ◽  
Lorenzo di Ruvo

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.


2021 ◽  
Vol 1978 (1) ◽  
pp. 012031
Author(s):  
Ningbo Guo ◽  
Yaming Chen ◽  
Xiaogang Deng

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