Propagation of the nonlinear damped Korteweg‐de Vries equation in an unmagnetized collisional dusty plasma via analytical mathematical methods

2020 ◽  
Vol 44 (1) ◽  
pp. 737-748
Author(s):  
Aly R. Seadawy ◽  
Mujahid Iqbal
Keyword(s):  
Dusty Plasma ◽  
Vries Equation ◽  
Mathematical Methods ◽  
De Vries

scholarly journals KdV ADIABATIC INDEX SOLITONS IN BAROTROPIC OPEN FRW COSMOLOGIES

2002 ◽  
Vol 17 (11) ◽  
pp. 667-670 ◽  
Author(s):  
HARET C. ROSU
Keyword(s):  
Riccati Equation ◽  
Hubble Parameter ◽  
Vries Equation ◽  
Adiabatic Index ◽  
Mathematical Methods ◽  
Type Formula ◽  
Discrete Sequence ◽  
De Vries

Applying standard mathematical methods, it is explicitly shown how the Riccati equation for the Hubble parameter H (η) of barotropic open FRW cosmologies is connected with a Korteweg-de Vries equation for adiabatic index solitons. It is also shown how one can embed a discrete sequence of adiabatic indices of the type [Formula: see text], (γ ≠ 2/3), in the sech FRW adiabatic index soliton.

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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