Korteweg-de Vries-Burgers Equation on a Segment
نویسندگان
چکیده
منابع مشابه
An exact solution to the Korteweg-de Vries-Burgers equation
In this letter, applying a series of coordinate transformations, we obtain a new class of solutions of the Korteweg–de Vries–Burgers equation, which arises in the theory of ferroelectricity. © 2005 Elsevier Ltd. All rights reserved.
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This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, redistribution , reselling , loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to da...
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In this paper, we investigate a damped Korteweg-de Vries equation with forcing on a periodic domain $mathbb{T}=mathbb{R}/(2pimathbb{Z})$. We can obtain that if the forcing is periodic with small amplitude, then the solution becomes eventually time-periodic.
متن کاملDiscussion on: ''Adaptive Boundary Control of the Forced Generalized Korteweg-de Vries-Burgers Equation''
This paper considers the adaptive control problem of the forced generalized Korteweg-de Vries-Burgers (GKdVB) equation when the spatial domain is [0,1]. Three different adaptive control laws are designed for the forced GKdVB equation when either the kinematic viscosity or the dynamic viscosity is unknown, or when both viscosities and are unknowns. The L -global exponential stability of the solu...
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ژورنال
عنوان ژورنال: Cubo (Temuco)
سال: 2010
ISSN: 0719-0646
DOI: 10.4067/s0719-06462010000100005