Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems
A (2+1) dimensional Burgers equation and a coupled higher dimensional Burgers system is studied by the singular manifold method. The Bäcklund transformations are obtained. Some interesting exact solutions are given. Then localized structures, such as dromion and solitoff, are found, and their intera...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/539187 |
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| author | Yan-ze Peng |
| author_facet | Yan-ze Peng |
| author_sort | Yan-ze Peng |
| collection | DOAJ |
| description | A (2+1) dimensional Burgers equation and a coupled higher dimensional Burgers system is studied by the singular manifold method. The Bäcklund transformations are obtained. Some interesting exact solutions are given. Then localized structures, such as dromion and solitoff, are found, and their interaction properties are numerically studied. The fusion phenomena of two dromions, a dromion and a solitoff, are for the first time reported. |
| format | Article |
| id | doaj-art-62c9592ce4354758a4a5a346faeb253e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-62c9592ce4354758a4a5a346faeb253e2025-02-03T01:23:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/539187539187Exact Solutions and Localized Structures for Higher-Dimensional Burgers SystemsYan-ze Peng0School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, ChinaA (2+1) dimensional Burgers equation and a coupled higher dimensional Burgers system is studied by the singular manifold method. The Bäcklund transformations are obtained. Some interesting exact solutions are given. Then localized structures, such as dromion and solitoff, are found, and their interaction properties are numerically studied. The fusion phenomena of two dromions, a dromion and a solitoff, are for the first time reported.http://dx.doi.org/10.1155/2009/539187 |
| spellingShingle | Yan-ze Peng Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems International Journal of Mathematics and Mathematical Sciences |
| title | Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems |
| title_full | Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems |
| title_fullStr | Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems |
| title_full_unstemmed | Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems |
| title_short | Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems |
| title_sort | exact solutions and localized structures for higher dimensional burgers systems |
| url | http://dx.doi.org/10.1155/2009/539187 |
| work_keys_str_mv | AT yanzepeng exactsolutionsandlocalizedstructuresforhigherdimensionalburgerssystems |