The step-decay problem for the Korteweg-de Vries-Burgers equation

P. I. Naumkin; I. A. Shishmarev

doi:10.1007/bf01090673

The step-decay problem for the Korteweg-de Vries-Burgers equation

Functional Analysis and Its Applications ◽

10.1007/bf01090673 ◽

1991 ◽

Vol 25 (1) ◽

pp. 16-25 ◽

Cited By ~ 5

Author(s):

P. I. Naumkin ◽

I. A. Shishmarev

Keyword(s):

Burgers Equation ◽

De Vries

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New exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation

MSIE 2011 ◽

10.1109/msie.2011.5707618 ◽

2011 ◽

Author(s):

DongBo Cao ◽

LiuXian Pan ◽

JiaRen Yan

Keyword(s):

Exact Solutions ◽

Burgers Equation ◽

Vries Equation ◽

New Exact Solutions ◽

De Vries

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Painlevé analysis and exact solutions of two dimensional Korteweg-de Vries-Burgers equation

Pramana ◽

10.1007/bf02848585 ◽

1996 ◽

Vol 46 (1) ◽

pp. 1-8 ◽

Cited By ~ 3

Author(s):

M P Joy

Keyword(s):

Exact Solutions ◽

Burgers Equation ◽

Painlevé Analysis ◽

Two Dimensional ◽

De Vries ◽

Painleve Analysis

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Forced Korteweg-de Vries–Burgers equation in an elastic tube filled with a variable viscosity fluid

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2007.02.005 ◽

2008 ◽

Vol 38 (4) ◽

pp. 1134-1145 ◽

Cited By ~ 9

Author(s):

Tay Kim Gaik ◽

Hilmi Demiray

Keyword(s):

Burgers Equation ◽

Variable Viscosity ◽

Elastic Tube ◽

De Vries ◽

Viscosity Fluid ◽

Variable Viscosity Fluid

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Forced Oscillation of the Korteweg-De Vries-Burgers Equation and Its Stability

Control Of Nonlinear Distributed Parameter Systems ◽

10.1201/9780203904190.ch16 ◽

2001 ◽

Cited By ~ 2

Author(s):

Bing-Yu Zhang

Keyword(s):

Burgers Equation ◽

Forced Oscillation ◽

De Vries

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Algebraic traveling waves for the modified Korteweg–de-Vries–Burgers equation

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2020.1.48 ◽

2020 ◽

pp. 1-16

Author(s):

Claudia Valls

Keyword(s):

Traveling Waves ◽

Burgers Equation ◽

De Vries

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Cylindrical and Spherical Dust-Ion Acoustic Solitary Waves by Damped Korteweg-de Vries-Burgers Equation

Brazilian Journal of Physics ◽

10.1007/s13538-019-00687-0 ◽

2019 ◽

Vol 49 (5) ◽

pp. 693-697 ◽

Cited By ~ 1

Author(s):

Dong-Ning Gao ◽

Zheng-Rong Zhang ◽

Jian-Peng Wu ◽

Dan Luo ◽

Wen-Shan Duan ◽

...

Keyword(s):

Solitary Waves ◽

Burgers Equation ◽

Ion Acoustic Solitary Waves ◽

Ion Acoustic ◽

De Vries

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Local exact controllability to the trajectories of the Korteweg–de Vries–Burgers equation on a bounded domain with mixed boundary conditions

Journal of Differential Equations ◽

10.1016/j.jde.2019.10.043 ◽

2020 ◽

Vol 268 (9) ◽

pp. 4945-4972

Author(s):

Eduardo Cerpa ◽

Cristhian Montoya ◽

Bingyu Zhang

Keyword(s):

Boundary Conditions ◽

Bounded Domain ◽

Burgers Equation ◽

Mixed Boundary ◽

Exact Controllability ◽

Mixed Boundary Conditions ◽

De Vries

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Korteweg-de Vries-Burgers equation in a multi-component magnetized plasma with nuclei of heavy elements

Journal of the Korean Physical Society ◽

10.3938/jkps.69.1762 ◽

2016 ◽

Vol 69 (12) ◽

pp. 1762-1770 ◽

Cited By ~ 9

Author(s):

B. Hosen ◽

M. Amina ◽

A. A. Mamun ◽

M. R. Hossen

Keyword(s):

Burgers Equation ◽

Magnetized Plasma ◽

Heavy Elements ◽

De Vries

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Controlling nonlinear water waves: boundary stabilization of the Korteweg-de Vries-Burgers equation

Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251) ◽

10.1109/acc.1999.786108 ◽

1999 ◽

Keyword(s):

Water Waves ◽

Burgers Equation ◽

Boundary Stabilization ◽

Nonlinear Water Waves ◽

De Vries

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Well-posedness and exponential decay estimates for a Korteweg–de Vries–Burgers equation with time-delay

Nonlinear Analysis ◽

10.1016/j.na.2019.111646 ◽

2020 ◽

Vol 191 ◽

pp. 111646

Author(s):

Vilmos Komornik ◽

Cristina Pignotti

Keyword(s):

Time Delay ◽

Exponential Decay ◽

Burgers Equation ◽

Well Posedness ◽

Decay Estimates ◽

De Vries

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