Kink Waves and Their Evolution of the RLW-Burgers Equation

Kink Waves and Their Evolution of the RLW-Burgers Equation

This paper considers the bounded travelling waves of the RLW-Burgers equation. We prove that there only exist two types of bounded travelling waves, the monotone kink waves and the oscillatory kink waves. For the oscillatory kink wave, the regularity of its maximum oscillation amplitude changing wit...

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Main Authors: Yuqian Zhou, Qian Liu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/109235
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spelling doaj-62dfc9fe58c7466e836334592ceeb8962020-11-24T22:27:21ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/109235109235Kink Waves and Their Evolution of the RLW-Burgers EquationYuqian Zhou0Qian Liu1School of Mathematics, Chengdu University of Information Technology, Sichuan, Chengdu 610225, ChinaSchool of Computer Science Technology, Southwest University for Nationalities, Sichuan, Chengdu 610041, ChinaThis paper considers the bounded travelling waves of the RLW-Burgers equation. We prove that there only exist two types of bounded travelling waves, the monotone kink waves and the oscillatory kink waves. For the oscillatory kink wave, the regularity of its maximum oscillation amplitude changing with parameters is discussed. Exact expressions of the monotone kink waves and approximate expressions of the oscillatory ones are obtained in some special cases. Furthermore, all bounded travelling waves of the RLW-Burgers equation under different parameter conditions are identified and the evolution of them is discussed to explain the corresponding physical phenomena.http://dx.doi.org/10.1155/2012/109235
collection DOAJ
language English
format Article
sources DOAJ
author Yuqian Zhou
Qian Liu
spellingShingle Yuqian Zhou
Qian Liu
Kink Waves and Their Evolution of the RLW-Burgers Equation
Abstract and Applied Analysis
author_facet Yuqian Zhou
Qian Liu
author_sort Yuqian Zhou
title Kink Waves and Their Evolution of the RLW-Burgers Equation
title_short Kink Waves and Their Evolution of the RLW-Burgers Equation
title_full Kink Waves and Their Evolution of the RLW-Burgers Equation
title_fullStr Kink Waves and Their Evolution of the RLW-Burgers Equation
title_full_unstemmed Kink Waves and Their Evolution of the RLW-Burgers Equation
title_sort kink waves and their evolution of the rlw-burgers equation
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description This paper considers the bounded travelling waves of the RLW-Burgers equation. We prove that there only exist two types of bounded travelling waves, the monotone kink waves and the oscillatory kink waves. For the oscillatory kink wave, the regularity of its maximum oscillation amplitude changing with parameters is discussed. Exact expressions of the monotone kink waves and approximate expressions of the oscillatory ones are obtained in some special cases. Furthermore, all bounded travelling waves of the RLW-Burgers equation under different parameter conditions are identified and the evolution of them is discussed to explain the corresponding physical phenomena.
url http://dx.doi.org/10.1155/2012/109235
work_keys_str_mv AT yuqianzhou kinkwavesandtheirevolutionoftherlwburgersequation
AT qianliu kinkwavesandtheirevolutionoftherlwburgersequation
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