Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems

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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Main Author: Yan-ze Peng
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/539187
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spelling doaj-62c9592ce4354758a4a5a346faeb253e2020-11-25T00:53:38ZengHindawi LimitedInternational 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
collection DOAJ
language English
format Article
sources DOAJ
author Yan-ze Peng
spellingShingle Yan-ze Peng
Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems
International Journal of Mathematics and Mathematical Sciences
author_facet Yan-ze Peng
author_sort Yan-ze Peng
title Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems
title_short 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_sort exact solutions and localized structures for higher-dimensional burgers systems
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2009-01-01
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.
url http://dx.doi.org/10.1155/2009/539187
work_keys_str_mv AT yanzepeng exactsolutionsandlocalizedstructuresforhigherdimensionalburgerssystems
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