Three dimensional Lifshitz black hole and the Korteweg–de Vries equation

2012 ◽  
Vol 709 (3) ◽  
pp. 276-279 ◽  
Author(s):  
E. Abdalla ◽  
Jeferson de Oliveira ◽  
A. Lima-Santos ◽  
A.B. Pavan
Keyword(s):  
Black Hole ◽  
Vries Equation ◽  
Three Dimensional ◽  
De Vries ◽  
Lifshitz Black Hole

Stability and instability of some nonlinear dispersive solitary waves in higher dimension

1996 ◽  
Vol 126 (1) ◽  
pp. 89-112 ◽  
Author(s):  
Anne de Bouard
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Vries Equation ◽  
Three Dimensional ◽  
Higher Dimension ◽  
Ion Acoustic Waves ◽  
Stability And Instability ◽  
Ion Acoustic ◽  
De Vries ◽  
The Stability

We study the stability of positive radially symmetric solitary waves for a three dimensional generalisation of the Korteweg de Vries equation, which describes nonlinear ion-acoustic waves in a magnetised plasma, and for a generalisation in dimension two of the Benjamin–Bona–Mahony equation.

scholarly journals Dilaton gravity approach to three-dimensional Lifshitz black hole

2010 ◽  
Vol 70 (1-2) ◽  
pp. 335-340 ◽  
Author(s):  
Yun Soo Myung ◽  
Yong-Wan Kim ◽  
Young-Jai Park
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Dilaton Gravity ◽  
Lifshitz Black Hole

scholarly journals Rogue waves on the general periodic travelling waves background for an extended modified Korteweg-de Vries equation

2021 ◽  
Author(s):  
Yi Zhang ◽  
Yu Lou ◽  
RS Ye
Keyword(s):  
Vries Equation ◽  
Travelling Waves ◽  
Three Dimensional ◽  
Rogue Waves ◽  
Travelling Wave ◽  
Periodic Waves ◽  
Travelling Wave Solutions ◽  
Third Order ◽  
Periodic Travelling Wave ◽  
De Vries

Under consideration in this paper is rogue waves on the general periodic travelling waves background of an integrable extended modified Korteweg-de Vries equation. The general periodic travelling wave solutions are presented in terms of the sub-equation method. By means of the Darboux transformation and the nonlinearization of the Lax pair, we present the first-, second- and third-order rogue waves on the general periodic travelling waves background. Furthermore, the dynamic behaviors of rogue periodic waves are elucidated from the viewpoint of three-dimensional structures.

scholarly journals Three-dimensional Korteweg-de Vries equation and traveling wave solutions

2000 ◽  
Vol 24 (6) ◽  
pp. 379-384 ◽  
Author(s):  
Kenneth L. Jones
Keyword(s):  
Vries Equation ◽  
Three Dimensional ◽  
Traveling Wave Solutions ◽  
Summation Formula ◽  
Cnoidal Wave ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
De Vries ◽  
Infinite Sums ◽  
Poisson’S Summation Formula

The three-dimensional power Korteweg-de Vries equation[ut+unux+uxxx]x+uyy+uzz=0, is considered. Solitary wave solutions for any positive integernand cnoidal wave solutions forn=1andn=2are obtained. The cnoidal wave solutions are shown to be represented as infinite sums of solitons by using Fourier series expansions and Poisson's summation formula.

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
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