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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/109235 |
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| _version_ | 1849411712581632000 |
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| author | Yuqian Zhou Qian Liu |
| author_facet | Yuqian Zhou Qian Liu |
| author_sort | Yuqian Zhou |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-62dfc9fe58c7466e836334592ceeb896 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-62dfc9fe58c7466e836334592ceeb8962025-08-20T03:34:41ZengWileyAbstract 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 |
| spellingShingle | Yuqian Zhou Qian Liu Kink Waves and Their Evolution of the RLW-Burgers Equation Abstract and Applied Analysis |
| title | 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_short | Kink Waves and Their Evolution of the RLW-Burgers Equation |
| title_sort | kink waves and their evolution of the rlw burgers equation |
| url | http://dx.doi.org/10.1155/2012/109235 |
| work_keys_str_mv | AT yuqianzhou kinkwavesandtheirevolutionoftherlwburgersequation AT qianliu kinkwavesandtheirevolutionoftherlwburgersequation |